3.392 \(\int \frac {\sec ^4(c+d x)}{a+b \sin ^3(c+d x)} \, dx\)

Optimal. Leaf size=1093 \[ -\frac {2 (-1)^{2/3} a^{2/3} \tan ^{-1}\left (\frac {\sqrt [3]{-1} \sqrt [3]{b}-\sqrt [3]{a} \tan \left (\frac {1}{2} (c+d x)\right )}{\sqrt {a^{2/3}-(-1)^{2/3} b^{2/3}}}\right ) b^{8/3}}{\sqrt {a^{2/3}-(-1)^{2/3} b^{2/3}} \left (a^2-b^2\right )^2 d}+\frac {2 a^{2/3} \tan ^{-1}\left (\frac {\sqrt [3]{a} \tan \left (\frac {1}{2} (c+d x)\right )+\sqrt [3]{b}}{\sqrt {a^{2/3}-b^{2/3}}}\right ) b^{8/3}}{\sqrt {a^{2/3}-b^{2/3}} \left (a^2-b^2\right )^2 d}-\frac {2 \sqrt [3]{-1} a^{2/3} \tan ^{-1}\left (\frac {\sqrt [3]{a} \tan \left (\frac {1}{2} (c+d x)\right )+(-1)^{2/3} \sqrt [3]{b}}{\sqrt {a^{2/3}+\sqrt [3]{-1} b^{2/3}}}\right ) b^{8/3}}{\sqrt {a^{2/3}+\sqrt [3]{-1} b^{2/3}} \left (a^2-b^2\right )^2 d}-\frac {2 \left (2 a^2+b^2\right ) \tan ^{-1}\left (\frac {\sqrt [3]{-1} \sqrt [3]{b}-\sqrt [3]{a} \tan \left (\frac {1}{2} (c+d x)\right )}{\sqrt {a^{2/3}-(-1)^{2/3} b^{2/3}}}\right ) b^2}{3 a^{2/3} \sqrt {a^{2/3}-(-1)^{2/3} b^{2/3}} \left (a^2-b^2\right )^2 d}+\frac {2 \left (2 a^2+b^2\right ) \tan ^{-1}\left (\frac {\sqrt [3]{a} \tan \left (\frac {1}{2} (c+d x)\right )+\sqrt [3]{b}}{\sqrt {a^{2/3}-b^{2/3}}}\right ) b^2}{3 a^{2/3} \sqrt {a^{2/3}-b^{2/3}} \left (a^2-b^2\right )^2 d}+\frac {2 \left (2 a^2+b^2\right ) \tan ^{-1}\left (\frac {\sqrt [3]{a} \tan \left (\frac {1}{2} (c+d x)\right )+(-1)^{2/3} \sqrt [3]{b}}{\sqrt {a^{2/3}+\sqrt [3]{-1} b^{2/3}}}\right ) b^2}{3 a^{2/3} \sqrt {a^{2/3}+\sqrt [3]{-1} b^{2/3}} \left (a^2-b^2\right )^2 d}+\frac {2 \left (a^2+2 b^2\right ) \tan ^{-1}\left (\frac {\sqrt [3]{a} \tan \left (\frac {1}{2} (c+d x)\right )+\sqrt [3]{b}}{\sqrt {a^{2/3}-b^{2/3}}}\right ) b^{4/3}}{3 \sqrt {a^{2/3}-b^{2/3}} \left (a^2-b^2\right )^2 d}-\frac {2 \left (a^2+2 b^2\right ) \tanh ^{-1}\left (\frac {\sqrt [3]{b}-\sqrt [3]{-1} \sqrt [3]{a} \tan \left (\frac {1}{2} (c+d x)\right )}{\sqrt {b^{2/3}-(-1)^{2/3} a^{2/3}}}\right ) b^{4/3}}{3 \sqrt {b^{2/3}-(-1)^{2/3} a^{2/3}} \left (a^2-b^2\right )^2 d}-\frac {2 \left (a^2+2 b^2\right ) \tanh ^{-1}\left (\frac {(-1)^{2/3} \sqrt [3]{a} \tan \left (\frac {1}{2} (c+d x)\right )+\sqrt [3]{b}}{\sqrt {\sqrt [3]{-1} a^{2/3}+b^{2/3}}}\right ) b^{4/3}}{3 \sqrt {\sqrt [3]{-1} a^{2/3}+b^{2/3}} \left (a^2-b^2\right )^2 d}+\frac {(a+4 b) \cos (c+d x)}{4 (a+b)^2 d (1-\sin (c+d x))}+\frac {\cos (c+d x)}{12 (a+b) d (1-\sin (c+d x))}-\frac {\cos (c+d x)}{12 (a-b) d (\sin (c+d x)+1)}-\frac {(a-4 b) \cos (c+d x)}{4 (a-b)^2 d (\sin (c+d x)+1)}+\frac {\cos (c+d x)}{12 (a+b) d (1-\sin (c+d x))^2}-\frac {\cos (c+d x)}{12 (a-b) d (\sin (c+d x)+1)^2} \]

[Out]

1/12*cos(d*x+c)/(a+b)/d/(1-sin(d*x+c))^2+1/12*cos(d*x+c)/(a+b)/d/(1-sin(d*x+c))+1/4*(a+4*b)*cos(d*x+c)/(a+b)^2
/d/(1-sin(d*x+c))-1/12*cos(d*x+c)/(a-b)/d/(1+sin(d*x+c))^2-1/4*(a-4*b)*cos(d*x+c)/(a-b)^2/d/(1+sin(d*x+c))-1/1
2*cos(d*x+c)/(a-b)/d/(1+sin(d*x+c))+2*a^(2/3)*b^(8/3)*arctan((b^(1/3)+a^(1/3)*tan(1/2*d*x+1/2*c))/(a^(2/3)-b^(
2/3))^(1/2))/(a^2-b^2)^2/d/(a^(2/3)-b^(2/3))^(1/2)+2/3*b^2*(2*a^2+b^2)*arctan((b^(1/3)+a^(1/3)*tan(1/2*d*x+1/2
*c))/(a^(2/3)-b^(2/3))^(1/2))/a^(2/3)/(a^2-b^2)^2/d/(a^(2/3)-b^(2/3))^(1/2)+2/3*b^(4/3)*(a^2+2*b^2)*arctan((b^
(1/3)+a^(1/3)*tan(1/2*d*x+1/2*c))/(a^(2/3)-b^(2/3))^(1/2))/(a^2-b^2)^2/d/(a^(2/3)-b^(2/3))^(1/2)-2/3*b^(4/3)*(
a^2+2*b^2)*arctanh((b^(1/3)+(-1)^(2/3)*a^(1/3)*tan(1/2*d*x+1/2*c))/((-1)^(1/3)*a^(2/3)+b^(2/3))^(1/2))/(a^2-b^
2)^2/d/((-1)^(1/3)*a^(2/3)+b^(2/3))^(1/2)-2/3*b^(4/3)*(a^2+2*b^2)*arctanh((b^(1/3)-(-1)^(1/3)*a^(1/3)*tan(1/2*
d*x+1/2*c))/(-(-1)^(2/3)*a^(2/3)+b^(2/3))^(1/2))/(a^2-b^2)^2/d/(-(-1)^(2/3)*a^(2/3)+b^(2/3))^(1/2)-2*(-1)^(1/3
)*a^(2/3)*b^(8/3)*arctan(((-1)^(2/3)*b^(1/3)+a^(1/3)*tan(1/2*d*x+1/2*c))/(a^(2/3)+(-1)^(1/3)*b^(2/3))^(1/2))/(
a^2-b^2)^2/d/(a^(2/3)+(-1)^(1/3)*b^(2/3))^(1/2)+2/3*b^2*(2*a^2+b^2)*arctan(((-1)^(2/3)*b^(1/3)+a^(1/3)*tan(1/2
*d*x+1/2*c))/(a^(2/3)+(-1)^(1/3)*b^(2/3))^(1/2))/a^(2/3)/(a^2-b^2)^2/d/(a^(2/3)+(-1)^(1/3)*b^(2/3))^(1/2)-2*(-
1)^(2/3)*a^(2/3)*b^(8/3)*arctan(((-1)^(1/3)*b^(1/3)-a^(1/3)*tan(1/2*d*x+1/2*c))/(a^(2/3)-(-1)^(2/3)*b^(2/3))^(
1/2))/(a^2-b^2)^2/d/(a^(2/3)-(-1)^(2/3)*b^(2/3))^(1/2)-2/3*b^2*(2*a^2+b^2)*arctan(((-1)^(1/3)*b^(1/3)-a^(1/3)*
tan(1/2*d*x+1/2*c))/(a^(2/3)-(-1)^(2/3)*b^(2/3))^(1/2))/a^(2/3)/(a^2-b^2)^2/d/(a^(2/3)-(-1)^(2/3)*b^(2/3))^(1/
2)

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Rubi [F]  time = 0.05, antiderivative size = 0, normalized size of antiderivative = 0.00, number of steps used = 0, number of rules used = 0, integrand size = 0, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \[ \int \frac {\sec ^4(c+d x)}{a+b \sin ^3(c+d x)} \, dx \]

Verification is Not applicable to the result.

[In]

Int[Sec[c + d*x]^4/(a + b*Sin[c + d*x]^3),x]

[Out]

Defer[Int][Sec[c + d*x]^4/(a + b*Sin[c + d*x]^3), x]

Rubi steps

\begin {align*} \int \frac {\sec ^4(c+d x)}{a+b \sin ^3(c+d x)} \, dx &=\int \frac {\sec ^4(c+d x)}{a+b \sin ^3(c+d x)} \, dx\\ \end {align*}

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Mathematica [C]  time = 1.70, size = 679, normalized size = 0.62 \[ \frac {\sec ^3(c+d x) \left (12 a^3 \sin (c+d x)+4 a^3 \sin (3 (c+d x))-3 b \left (5 a^2+13 b^2\right ) \cos (c+d x)+12 b \left (a^2+2 b^2\right ) \cos (2 (c+d x))-5 a^2 b \cos (3 (c+d x))+4 a^2 b-30 a b^2 \sin (c+d x)-22 a b^2 \sin (3 (c+d x))-13 b^3 \cos (3 (c+d x))+32 b^3\right )+4 i b^2 \text {RootSum}\left [i \text {$\#$1}^6 b-3 i \text {$\#$1}^4 b+8 \text {$\#$1}^3 a+3 i \text {$\#$1}^2 b-i b\& ,\frac {2 \text {$\#$1}^4 a^2 \tan ^{-1}\left (\frac {\sin (c+d x)}{\cos (c+d x)-\text {$\#$1}}\right )+4 \text {$\#$1}^4 b^2 \tan ^{-1}\left (\frac {\sin (c+d x)}{\cos (c+d x)-\text {$\#$1}}\right )-12 i \text {$\#$1}^3 a b \tan ^{-1}\left (\frac {\sin (c+d x)}{\cos (c+d x)-\text {$\#$1}}\right )+10 i \text {$\#$1}^2 a^2 \log \left (\text {$\#$1}^2-2 \text {$\#$1} \cos (c+d x)+1\right )-i a^2 \log \left (\text {$\#$1}^2-2 \text {$\#$1} \cos (c+d x)+1\right )-20 \text {$\#$1}^2 a^2 \tan ^{-1}\left (\frac {\sin (c+d x)}{\cos (c+d x)-\text {$\#$1}}\right )+6 \text {$\#$1} a b \log \left (\text {$\#$1}^2-2 \text {$\#$1} \cos (c+d x)+1\right )+8 i \text {$\#$1}^2 b^2 \log \left (\text {$\#$1}^2-2 \text {$\#$1} \cos (c+d x)+1\right )-2 i b^2 \log \left (\text {$\#$1}^2-2 \text {$\#$1} \cos (c+d x)+1\right )-16 \text {$\#$1}^2 b^2 \tan ^{-1}\left (\frac {\sin (c+d x)}{\cos (c+d x)-\text {$\#$1}}\right )-i \text {$\#$1}^4 a^2 \log \left (\text {$\#$1}^2-2 \text {$\#$1} \cos (c+d x)+1\right )-2 i \text {$\#$1}^4 b^2 \log \left (\text {$\#$1}^2-2 \text {$\#$1} \cos (c+d x)+1\right )-6 \text {$\#$1}^3 a b \log \left (\text {$\#$1}^2-2 \text {$\#$1} \cos (c+d x)+1\right )+2 a^2 \tan ^{-1}\left (\frac {\sin (c+d x)}{\cos (c+d x)-\text {$\#$1}}\right )+12 i \text {$\#$1} a b \tan ^{-1}\left (\frac {\sin (c+d x)}{\cos (c+d x)-\text {$\#$1}}\right )+4 b^2 \tan ^{-1}\left (\frac {\sin (c+d x)}{\cos (c+d x)-\text {$\#$1}}\right )}{\text {$\#$1}^5 b-2 \text {$\#$1}^3 b-4 i \text {$\#$1}^2 a+\text {$\#$1} b}\& \right ]}{24 d (a-b)^2 (a+b)^2} \]

Antiderivative was successfully verified.

[In]

Integrate[Sec[c + d*x]^4/(a + b*Sin[c + d*x]^3),x]

[Out]

((4*I)*b^2*RootSum[(-I)*b + (3*I)*b*#1^2 + 8*a*#1^3 - (3*I)*b*#1^4 + I*b*#1^6 & , (2*a^2*ArcTan[Sin[c + d*x]/(
Cos[c + d*x] - #1)] + 4*b^2*ArcTan[Sin[c + d*x]/(Cos[c + d*x] - #1)] - I*a^2*Log[1 - 2*Cos[c + d*x]*#1 + #1^2]
- (2*I)*b^2*Log[1 - 2*Cos[c + d*x]*#1 + #1^2] + (12*I)*a*b*ArcTan[Sin[c + d*x]/(Cos[c + d*x] - #1)]*#1 + 6*a*
b*Log[1 - 2*Cos[c + d*x]*#1 + #1^2]*#1 - 20*a^2*ArcTan[Sin[c + d*x]/(Cos[c + d*x] - #1)]*#1^2 - 16*b^2*ArcTan[
Sin[c + d*x]/(Cos[c + d*x] - #1)]*#1^2 + (10*I)*a^2*Log[1 - 2*Cos[c + d*x]*#1 + #1^2]*#1^2 + (8*I)*b^2*Log[1 -
2*Cos[c + d*x]*#1 + #1^2]*#1^2 - (12*I)*a*b*ArcTan[Sin[c + d*x]/(Cos[c + d*x] - #1)]*#1^3 - 6*a*b*Log[1 - 2*C
os[c + d*x]*#1 + #1^2]*#1^3 + 2*a^2*ArcTan[Sin[c + d*x]/(Cos[c + d*x] - #1)]*#1^4 + 4*b^2*ArcTan[Sin[c + d*x]/
(Cos[c + d*x] - #1)]*#1^4 - I*a^2*Log[1 - 2*Cos[c + d*x]*#1 + #1^2]*#1^4 - (2*I)*b^2*Log[1 - 2*Cos[c + d*x]*#1
+ #1^2]*#1^4)/(b*#1 - (4*I)*a*#1^2 - 2*b*#1^3 + b*#1^5) & ] + Sec[c + d*x]^3*(4*a^2*b + 32*b^3 - 3*b*(5*a^2 +
13*b^2)*Cos[c + d*x] + 12*b*(a^2 + 2*b^2)*Cos[2*(c + d*x)] - 5*a^2*b*Cos[3*(c + d*x)] - 13*b^3*Cos[3*(c + d*x
)] + 12*a^3*Sin[c + d*x] - 30*a*b^2*Sin[c + d*x] + 4*a^3*Sin[3*(c + d*x)] - 22*a*b^2*Sin[3*(c + d*x)]))/(24*(a
- b)^2*(a + b)^2*d)

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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(sec(d*x+c)^4/(a+b*sin(d*x+c)^3),x, algorithm="fricas")

[Out]

Timed out

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giac [F]  time = 0.00, size = 0, normalized size = 0.00 \[ \int \frac {\sec \left (d x + c\right )^{4}}{b \sin \left (d x + c\right )^{3} + a}\,{d x} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(sec(d*x+c)^4/(a+b*sin(d*x+c)^3),x, algorithm="giac")

[Out]

integrate(sec(d*x + c)^4/(b*sin(d*x + c)^3 + a), x)

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maple [C]  time = 1.13, size = 346, normalized size = 0.32 \[ -\frac {2}{3 d \left (\tan \left (\frac {d x}{2}+\frac {c}{2}\right )-1\right )^{3} \left (2 a +2 b \right )}-\frac {1}{d \left (2 a +2 b \right ) \left (\tan \left (\frac {d x}{2}+\frac {c}{2}\right )-1\right )^{2}}-\frac {a}{d \left (a +b \right )^{2} \left (\tan \left (\frac {d x}{2}+\frac {c}{2}\right )-1\right )}-\frac {5 b}{2 d \left (a +b \right )^{2} \left (\tan \left (\frac {d x}{2}+\frac {c}{2}\right )-1\right )}-\frac {2}{3 d \left (\tan \left (\frac {d x}{2}+\frac {c}{2}\right )+1\right )^{3} \left (2 a -2 b \right )}+\frac {1}{d \left (2 a -2 b \right ) \left (\tan \left (\frac {d x}{2}+\frac {c}{2}\right )+1\right )^{2}}-\frac {a}{d \left (a -b \right )^{2} \left (\tan \left (\frac {d x}{2}+\frac {c}{2}\right )+1\right )}+\frac {5 b}{2 d \left (a -b \right )^{2} \left (\tan \left (\frac {d x}{2}+\frac {c}{2}\right )+1\right )}+\frac {b^{2} \left (\munderset {\textit {\_R} =\RootOf \left (a \,\textit {\_Z}^{6}+3 a \,\textit {\_Z}^{4}+8 b \,\textit {\_Z}^{3}+3 a \,\textit {\_Z}^{2}+a \right )}{\sum }\frac {\left (\left (2 a^{2}+b^{2}\right ) \textit {\_R}^{4}-6 \textit {\_R}^{3} a b +2 \left (4 a^{2}+5 b^{2}\right ) \textit {\_R}^{2}-6 a \textit {\_R} b +2 a^{2}+b^{2}\right ) \ln \left (\tan \left (\frac {d x}{2}+\frac {c}{2}\right )-\textit {\_R} \right )}{\textit {\_R}^{5} a +2 \textit {\_R}^{3} a +4 \textit {\_R}^{2} b +\textit {\_R} a}\right )}{3 d \left (a -b \right )^{2} \left (a +b \right )^{2}} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(sec(d*x+c)^4/(a+b*sin(d*x+c)^3),x)

[Out]

-2/3/d/(tan(1/2*d*x+1/2*c)-1)^3/(2*a+2*b)-1/d/(2*a+2*b)/(tan(1/2*d*x+1/2*c)-1)^2-1/d/(a+b)^2/(tan(1/2*d*x+1/2*
c)-1)*a-5/2/d/(a+b)^2/(tan(1/2*d*x+1/2*c)-1)*b-2/3/d/(tan(1/2*d*x+1/2*c)+1)^3/(2*a-2*b)+1/d/(2*a-2*b)/(tan(1/2
*d*x+1/2*c)+1)^2-1/d/(a-b)^2/(tan(1/2*d*x+1/2*c)+1)*a+5/2/d/(a-b)^2/(tan(1/2*d*x+1/2*c)+1)*b+1/3/d*b^2/(a-b)^2
/(a+b)^2*sum(((2*a^2+b^2)*_R^4-6*_R^3*a*b+2*(4*a^2+5*b^2)*_R^2-6*a*_R*b+2*a^2+b^2)/(_R^5*a+2*_R^3*a+4*_R^2*b+_
R*a)*ln(tan(1/2*d*x+1/2*c)-_R),_R=RootOf(_Z^6*a+3*_Z^4*a+8*_Z^3*b+3*_Z^2*a+a))

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maxima [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(sec(d*x+c)^4/(a+b*sin(d*x+c)^3),x, algorithm="maxima")

[Out]

Timed out

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mupad [B]  time = 25.85, size = 323390, normalized size = 295.87 \[ \text {result too large to display} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(1/(cos(c + d*x)^4*(a + b*sin(c + d*x)^3)),x)

[Out]

(14*b^3*cos(c/2 + (d*x)/2)^6)/(3*(a^4*d*cos(c/2 + (d*x)/2)^6 + b^4*d*cos(c/2 + (d*x)/2)^6 - a^4*d*sin(c/2 + (d
*x)/2)^6 - b^4*d*sin(c/2 + (d*x)/2)^6 - 2*a^2*b^2*d*cos(c/2 + (d*x)/2)^6 + 2*a^2*b^2*d*sin(c/2 + (d*x)/2)^6 +
3*a^4*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 - 3*a^4*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2 + 3*b^4*
d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 - 3*b^4*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2 - 6*a^2*b^2*d*
cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 + 6*a^2*b^2*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2)) - (4*a^3*c
os(c/2 + (d*x)/2)^3*sin(c/2 + (d*x)/2)^3)/(3*(a^4*d*cos(c/2 + (d*x)/2)^6 + b^4*d*cos(c/2 + (d*x)/2)^6 - a^4*d*
sin(c/2 + (d*x)/2)^6 - b^4*d*sin(c/2 + (d*x)/2)^6 - 2*a^2*b^2*d*cos(c/2 + (d*x)/2)^6 + 2*a^2*b^2*d*sin(c/2 + (
d*x)/2)^6 + 3*a^4*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 - 3*a^4*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2
)^2 + 3*b^4*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 - 3*b^4*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2 -
6*a^2*b^2*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 + 6*a^2*b^2*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2)
) + (6*b^3*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4)/(a^4*d*cos(c/2 + (d*x)/2)^6 + b^4*d*cos(c/2 + (d*x)/2)^6
- a^4*d*sin(c/2 + (d*x)/2)^6 - b^4*d*sin(c/2 + (d*x)/2)^6 - 2*a^2*b^2*d*cos(c/2 + (d*x)/2)^6 + 2*a^2*b^2*d*si
n(c/2 + (d*x)/2)^6 + 3*a^4*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 - 3*a^4*d*cos(c/2 + (d*x)/2)^4*sin(c/2
+ (d*x)/2)^2 + 3*b^4*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 - 3*b^4*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x
)/2)^2 - 6*a^2*b^2*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 + 6*a^2*b^2*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d
*x)/2)^2) - (8*b^3*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2)/(a^4*d*cos(c/2 + (d*x)/2)^6 + b^4*d*cos(c/2 + (d
*x)/2)^6 - a^4*d*sin(c/2 + (d*x)/2)^6 - b^4*d*sin(c/2 + (d*x)/2)^6 - 2*a^2*b^2*d*cos(c/2 + (d*x)/2)^6 + 2*a^2*
b^2*d*sin(c/2 + (d*x)/2)^6 + 3*a^4*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 - 3*a^4*d*cos(c/2 + (d*x)/2)^4*
sin(c/2 + (d*x)/2)^2 + 3*b^4*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 - 3*b^4*d*cos(c/2 + (d*x)/2)^4*sin(c/
2 + (d*x)/2)^2 - 6*a^2*b^2*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 + 6*a^2*b^2*d*cos(c/2 + (d*x)/2)^4*sin(
c/2 + (d*x)/2)^2) + (4*a^2*b*cos(c/2 + (d*x)/2)^6)/(3*(a^4*d*cos(c/2 + (d*x)/2)^6 + b^4*d*cos(c/2 + (d*x)/2)^6
- a^4*d*sin(c/2 + (d*x)/2)^6 - b^4*d*sin(c/2 + (d*x)/2)^6 - 2*a^2*b^2*d*cos(c/2 + (d*x)/2)^6 + 2*a^2*b^2*d*si
n(c/2 + (d*x)/2)^6 + 3*a^4*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 - 3*a^4*d*cos(c/2 + (d*x)/2)^4*sin(c/2
+ (d*x)/2)^2 + 3*b^4*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 - 3*b^4*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x
)/2)^2 - 6*a^2*b^2*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 + 6*a^2*b^2*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d
*x)/2)^2)) + (2*a^3*cos(c/2 + (d*x)/2)*sin(c/2 + (d*x)/2)^5)/(a^4*d*cos(c/2 + (d*x)/2)^6 + b^4*d*cos(c/2 + (d*
x)/2)^6 - a^4*d*sin(c/2 + (d*x)/2)^6 - b^4*d*sin(c/2 + (d*x)/2)^6 - 2*a^2*b^2*d*cos(c/2 + (d*x)/2)^6 + 2*a^2*b
^2*d*sin(c/2 + (d*x)/2)^6 + 3*a^4*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 - 3*a^4*d*cos(c/2 + (d*x)/2)^4*s
in(c/2 + (d*x)/2)^2 + 3*b^4*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 - 3*b^4*d*cos(c/2 + (d*x)/2)^4*sin(c/2
+ (d*x)/2)^2 - 6*a^2*b^2*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 + 6*a^2*b^2*d*cos(c/2 + (d*x)/2)^4*sin(c
/2 + (d*x)/2)^2) + (2*a^3*cos(c/2 + (d*x)/2)^5*sin(c/2 + (d*x)/2))/(a^4*d*cos(c/2 + (d*x)/2)^6 + b^4*d*cos(c/2
+ (d*x)/2)^6 - a^4*d*sin(c/2 + (d*x)/2)^6 - b^4*d*sin(c/2 + (d*x)/2)^6 - 2*a^2*b^2*d*cos(c/2 + (d*x)/2)^6 + 2
*a^2*b^2*d*sin(c/2 + (d*x)/2)^6 + 3*a^4*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 - 3*a^4*d*cos(c/2 + (d*x)/
2)^4*sin(c/2 + (d*x)/2)^2 + 3*b^4*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 - 3*b^4*d*cos(c/2 + (d*x)/2)^4*s
in(c/2 + (d*x)/2)^2 - 6*a^2*b^2*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 + 6*a^2*b^2*d*cos(c/2 + (d*x)/2)^4
*sin(c/2 + (d*x)/2)^2) + (a^4*cos(c/2 + (d*x)/2)^6*symsum(log(-(8192*(6*a^2*b^38*cos(c/2 + (d*x)/2) - 20*a*b^3
9*sin(c/2 + (d*x)/2) - 84*a^4*b^36*cos(c/2 + (d*x)/2) + 546*a^6*b^34*cos(c/2 + (d*x)/2) - 2184*a^8*b^32*cos(c/
2 + (d*x)/2) + 6006*a^10*b^30*cos(c/2 + (d*x)/2) - 12012*a^12*b^28*cos(c/2 + (d*x)/2) + 18018*a^14*b^26*cos(c/
2 + (d*x)/2) - 20592*a^16*b^24*cos(c/2 + (d*x)/2) + 18018*a^18*b^22*cos(c/2 + (d*x)/2) - 12012*a^20*b^20*cos(c
/2 + (d*x)/2) + 6006*a^22*b^18*cos(c/2 + (d*x)/2) - 2184*a^24*b^16*cos(c/2 + (d*x)/2) + 546*a^26*b^14*cos(c/2
+ (d*x)/2) - 84*a^28*b^12*cos(c/2 + (d*x)/2) + 6*a^30*b^10*cos(c/2 + (d*x)/2) + 280*a^3*b^37*sin(c/2 + (d*x)/2
) - 1820*a^5*b^35*sin(c/2 + (d*x)/2) + 7280*a^7*b^33*sin(c/2 + (d*x)/2) - 20020*a^9*b^31*sin(c/2 + (d*x)/2) +
40040*a^11*b^29*sin(c/2 + (d*x)/2) - 60060*a^13*b^27*sin(c/2 + (d*x)/2) + 68640*a^15*b^25*sin(c/2 + (d*x)/2) -
60060*a^17*b^23*sin(c/2 + (d*x)/2) + 40040*a^19*b^21*sin(c/2 + (d*x)/2) - 20020*a^21*b^19*sin(c/2 + (d*x)/2)
+ 7280*a^23*b^17*sin(c/2 + (d*x)/2) - 1820*a^25*b^15*sin(c/2 + (d*x)/2) + 280*a^27*b^13*sin(c/2 + (d*x)/2) - 2
0*a^29*b^11*sin(c/2 + (d*x)/2) - 588*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*
b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*
b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^3*b^38*sin(c/2 + (d*x)/2) + 5715*root(7290*a^10*b^4*d^6 - 7290*a^8*b^
6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*
b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^5*b^36*sin(c/2 + (d*x)/2) - 3171
0*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^
14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d,
k)*a^7*b^34*sin(c/2 + (d*x)/2) + 116025*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*
a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*
a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^9*b^32*sin(c/2 + (d*x)/2) - 301392*root(7290*a^10*b^4*d^6 - 7290*
a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 364
5*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^11*b^30*sin(c/2 + (d*x)/2)
+ 579579*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)*a^13*b^28*sin(c/2 + (d*x)/2) - 845130*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^
6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d
^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^15*b^26*sin(c/2 + (d*x)/2) + 945945*root(7290*a^10*b^4*d
^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6
*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^17*b^24*sin(c/2
+ (d*x)/2) - 815100*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4
*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2
*b^8*d^2 + b^8, d, k)*a^19*b^22*sin(c/2 + (d*x)/2) + 537537*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a
^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645
*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^21*b^20*sin(c/2 + (d*x)/2) - 266994*root(7290*
a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 123
93*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^23*b^1
8*sin(c/2 + (d*x)/2) + 96915*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6
- 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2
+ 135*a^2*b^8*d^2 + b^8, d, k)*a^25*b^16*sin(c/2 + (d*x)/2) - 24360*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^
4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^27*b^14*sin(c/2 + (d*x)/2) + 3825*root
(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^
29*b^12*sin(c/2 + (d*x)/2) - 294*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*
d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*
d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^31*b^10*sin(c/2 + (d*x)/2) + 3*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^
4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^33*b^8*sin(c/2 + (d*x)/2) + 36*root(72
90*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^2
*b^40*cos(c/2 + (d*x)/2) - 1143*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d
^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d
^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^4*b^38*cos(c/2 + (d*x)/2) + 11853*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*
d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^
4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^6*b^36*cos(c/2 + (d*x)/2) - 6608
7*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^
14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d,
k)^2*a^8*b^34*cos(c/2 + (d*x)/2) + 235053*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 364
5*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 13
5*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^10*b^32*cos(c/2 + (d*x)/2) - 577395*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^12*b^30*cos(c/2 + (
d*x)/2) + 1018017*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b
^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b
^8*d^2 + b^8, d, k)^2*a^14*b^28*cos(c/2 + (d*x)/2) - 1303731*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*
a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 364
5*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^16*b^26*cos(c/2 + (d*x)/2) + 1193049*root(7
290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^
18*b^24*cos(c/2 + (d*x)/2) - 724581*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b
^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b
^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^20*b^22*cos(c/2 + (d*x)/2) + 207207*root(7290*a^10*b^4*d^6 - 7290*a^
8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*
a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^22*b^20*cos(c/2 + (d*x)/2)
+ 85995*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 +
729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^2*a^24*b^18*cos(c/2 + (d*x)/2) - 133497*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d
^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*
d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^26*b^16*cos(c/2 + (d*x)/2) + 75663*root(7290*a^10*b^4
*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b
^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^28*b^14*cos(
c/2 + (d*x)/2) - 24597*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*
a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*
a^2*b^8*d^2 + b^8, d, k)^2*a^30*b^12*cos(c/2 + (d*x)/2) + 4527*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 364
5*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3
645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^32*b^10*cos(c/2 + (d*x)/2) - 369*root(729
0*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 1
2393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^34
*b^8*cos(c/2 + (d*x)/2) - 3078*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^
6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^
2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^4*b^39*cos(c/2 + (d*x)/2) + 33453*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d
^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4
*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^6*b^37*cos(c/2 + (d*x)/2) - 14774
4*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^
14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d,
k)^3*a^8*b^35*cos(c/2 + (d*x)/2) + 279531*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 364
5*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 13
5*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^10*b^33*cos(c/2 + (d*x)/2) + 191646*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^12*b^31*cos(c/2 + (
d*x)/2) - 2542995*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b
^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b
^8*d^2 + b^8, d, k)^3*a^14*b^29*cos(c/2 + (d*x)/2) + 7459452*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*
a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 364
5*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^16*b^27*cos(c/2 + (d*x)/2) - 13193037*root(
7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a
^18*b^25*cos(c/2 + (d*x)/2) + 16054038*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^
6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^
4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^20*b^23*cos(c/2 + (d*x)/2) - 13888017*root(7290*a^10*b^4*d^6 - 72
90*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 +
3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^22*b^21*cos(c/2 + (d*
x)/2) + 8432424*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^1
0*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8
*d^2 + b^8, d, k)^3*a^24*b^19*cos(c/2 + (d*x)/2) - 3339063*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^
12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*
a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^26*b^17*cos(c/2 + (d*x)/2) + 633906*root(7290
*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12
393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^28*
b^15*cos(c/2 + (d*x)/2) + 109431*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*
d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*
d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^30*b^13*cos(c/2 + (d*x)/2) - 104004*root(7290*a^10*b^4*d^6 - 7290*a^8*b
^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8
*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^32*b^11*cos(c/2 + (d*x)/2) +
26649*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 72
9*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8
, d, k)^3*a^34*b^9*cos(c/2 + (d*x)/2) - 2592*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3
645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^36*b^7*cos(c/2 + (d*x)/2) + 891*root(7290*a^10*b^4*d^6 - 72
90*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 +
3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^4*b^40*cos(c/2 + (d*x
)/2) - 12879*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d
^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^
2 + b^8, d, k)^4*a^6*b^38*cos(c/2 + (d*x)/2) + 84807*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2
*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^
8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^8*b^36*cos(c/2 + (d*x)/2) - 332424*root(7290*a^10*b
^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6
*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^10*b^34*co
s(c/2 + (d*x)/2) + 840780*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 7
29*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 1
35*a^2*b^8*d^2 + b^8, d, k)^4*a^12*b^32*cos(c/2 + (d*x)/2) - 1340388*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d
^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^14*b^30*cos(c/2 + (d*x)/2) + 972972
*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^1
4*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d,
k)^4*a^16*b^28*cos(c/2 + (d*x)/2) + 1187784*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 36
45*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 1
35*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^18*b^26*cos(c/2 + (d*x)/2) - 4934358*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^
4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^20*b^24*cos(c/2 +
(d*x)/2) + 8455590*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4
*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2
*b^8*d^2 + b^8, d, k)^4*a^22*b^22*cos(c/2 + (d*x)/2) - 9660222*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 364
5*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3
645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^24*b^20*cos(c/2 + (d*x)/2) + 8061768*root
(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*
a^26*b^18*cos(c/2 + (d*x)/2) - 5041764*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^
6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^
4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^28*b^16*cos(c/2 + (d*x)/2) + 2360988*root(7290*a^10*b^4*d^6 - 729
0*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3
645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^30*b^14*cos(c/2 + (d*x
)/2) - 811620*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*
d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d
^2 + b^8, d, k)^4*a^32*b^12*cos(c/2 + (d*x)/2) + 196344*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*
b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4
*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^34*b^10*cos(c/2 + (d*x)/2) - 30861*root(7290*a^1
0*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*
a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^36*b^8*
cos(c/2 + (d*x)/2) + 2673*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 7
29*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 1
35*a^2*b^8*d^2 + b^8, d, k)^4*a^38*b^6*cos(c/2 + (d*x)/2) - 81*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 364
5*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3
645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^40*b^4*cos(c/2 + (d*x)/2) + 972*root(7290
*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12
393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^4*b
^41*cos(c/2 + (d*x)/2) - 18225*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^
6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^
2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^6*b^39*cos(c/2 + (d*x)/2) + 161838*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*
d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^
4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^8*b^37*cos(c/2 + (d*x)/2) - 9046
89*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a
^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d
, k)^5*a^10*b^35*cos(c/2 + (d*x)/2) + 3569184*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^12*b^33*cos(c/2 + (d*x)/2) - 10558836*root(7290*a^10*b^4*d
^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6
*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^14*b^31*cos(c/
2 + (d*x)/2) + 24290280*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729
*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135
*a^2*b^8*d^2 + b^8, d, k)^5*a^16*b^29*cos(c/2 + (d*x)/2) - 44466084*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^
4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^18*b^27*cos(c/2 + (d*x)/2) + 6573247
2*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^
14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d,
k)^5*a^20*b^25*cos(c/2 + (d*x)/2) - 79158222*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^22*b^23*cos(c/2 + (d*x)/2) + 77976756*root(7290*a^10*b^4*d
^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6
*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^24*b^21*cos(c/
2 + (d*x)/2) - 62832510*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729
*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135
*a^2*b^8*d^2 + b^8, d, k)^5*a^26*b^19*cos(c/2 + (d*x)/2) + 41243904*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^
4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^28*b^17*cos(c/2 + (d*x)/2) - 2186125
2*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^
14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d,
k)^5*a^30*b^15*cos(c/2 + (d*x)/2) + 9220392*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3
645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^32*b^13*cos(c/2 + (d*x)/2) - 3023892*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d
^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^34*b^11*cos(c/2
+ (d*x)/2) + 743580*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4
*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2
*b^8*d^2 + b^8, d, k)^5*a^36*b^9*cos(c/2 + (d*x)/2) - 129033*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*
a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 364
5*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^38*b^7*cos(c/2 + (d*x)/2) + 14094*root(7290
*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12
393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^40*
b^5*cos(c/2 + (d*x)/2) - 729*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6
- 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2
+ 135*a^2*b^8*d^2 + b^8, d, k)^5*a^42*b^3*cos(c/2 + (d*x)/2) - 936*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 -
3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4
+ 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^3*b^39*sin(c/2 + (d*x)/2) + 13032*roo
t(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^
6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2
*a^5*b^37*sin(c/2 + (d*x)/2) - 84132*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*
b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*
b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^7*b^35*sin(c/2 + (d*x)/2) + 333648*root(7290*a^10*b^4*d^6 - 7290*a^
8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*
a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^9*b^33*sin(c/2 + (d*x)/2)
- 907452*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 +
729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^2*a^11*b^31*sin(c/2 + (d*x)/2) + 1788696*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*
d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8
*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^13*b^29*sin(c/2 + (d*x)/2) - 2630628*root(7290*a^10*
b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^
6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^15*b^27*s
in(c/2 + (d*x)/2) + 2924064*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)^2*a^17*b^25*sin(c/2 + (d*x)/2) - 2455596*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d
^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4
*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^19*b^23*sin(c/2 + (d*x)/2) + 1534
104*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*
a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8,
d, k)^2*a^21*b^21*sin(c/2 + (d*x)/2) - 684684*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^23*b^19*sin(c/2 + (d*x)/2) + 196560*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d
^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^25*b^17*sin(c/2
+ (d*x)/2) - 22932*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*
b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*
b^8*d^2 + b^8, d, k)^2*a^27*b^15*sin(c/2 + (d*x)/2) - 6552*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^
12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*
a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^29*b^13*sin(c/2 + (d*x)/2) + 3348*root(7290*a
^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 1239
3*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^31*b^
11*sin(c/2 + (d*x)/2) - 576*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)^2*a^33*b^9*sin(c/2 + (d*x)/2) + 36*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3
645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^35*b^7*sin(c/2 + (d*x)/2) + 1080*root(7
290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^
3*b^40*sin(c/2 + (d*x)/2) - 6048*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*
d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*
d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^5*b^38*sin(c/2 + (d*x)/2) - 23625*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6
*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b
^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^7*b^36*sin(c/2 + (d*x)/2) + 361
044*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*
a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8,
d, k)^3*a^9*b^34*sin(c/2 + (d*x)/2) - 1757511*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^11*b^32*sin(c/2 + (d*x)/2) + 5066334*root(7290*a^10*b^4*d^
6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*
d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^13*b^30*sin(c/2
+ (d*x)/2) - 9830457*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a
^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a
^2*b^8*d^2 + b^8, d, k)^3*a^15*b^28*sin(c/2 + (d*x)/2) + 13374504*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 -
3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4
+ 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^17*b^26*sin(c/2 + (d*x)/2) - 12675663*
root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14
*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k
)^3*a^19*b^24*sin(c/2 + (d*x)/2) + 7729722*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 364
5*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 13
5*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^21*b^22*sin(c/2 + (d*x)/2) - 1942083*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^23*b^20*sin(c/2 +
(d*x)/2) - 1366092*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*
b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*
b^8*d^2 + b^8, d, k)^3*a^25*b^18*sin(c/2 + (d*x)/2) + 1796067*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645
*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 36
45*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^27*b^16*sin(c/2 + (d*x)/2) - 993006*root(7
290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^
29*b^14*sin(c/2 + (d*x)/2) + 318789*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b
^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b
^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^31*b^12*sin(c/2 + (d*x)/2) - 57456*root(7290*a^10*b^4*d^6 - 7290*a^8
*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a
^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^33*b^10*sin(c/2 + (d*x)/2)
+ 4347*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 7
29*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^
8, d, k)^3*a^35*b^8*sin(c/2 + (d*x)/2) + 54*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 36
45*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 1
35*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^37*b^6*sin(c/2 + (d*x)/2) + 648*root(7290*a^10*b^4*d^6 - 729
0*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3
645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^3*b^41*sin(c/2 + (d*x)
/2) - 7776*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2
+ b^8, d, k)^4*a^5*b^39*sin(c/2 + (d*x)/2) + 35964*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d
^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*
d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^7*b^37*sin(c/2 + (d*x)/2) - 46656*root(7290*a^10*b^4*
d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^
6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^9*b^35*sin(c/
2 + (d*x)/2) - 311040*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a
^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a
^2*b^8*d^2 + b^8, d, k)^4*a^11*b^33*sin(c/2 + (d*x)/2) + 2068416*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3
645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^13*b^31*sin(c/2 + (d*x)/2) - 6722352*ro
ot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d
^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^
4*a^15*b^29*sin(c/2 + (d*x)/2) + 14758848*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645
*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135
*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^17*b^27*sin(c/2 + (d*x)/2) - 23907312*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^19*b^25*sin(c/2 +
(d*x)/2) + 29652480*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4
*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2
*b^8*d^2 + b^8, d, k)^4*a^21*b^23*sin(c/2 + (d*x)/2) - 28633176*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 36
45*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^23*b^21*sin(c/2 + (d*x)/2) + 21632832*ro
ot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d
^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^
4*a^25*b^19*sin(c/2 + (d*x)/2) - 12737088*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645
*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135
*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^27*b^17*sin(c/2 + (d*x)/2) + 5769792*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^29*b^15*sin(c/2 + (
d*x)/2) - 1963440*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b
^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b
^8*d^2 + b^8, d, k)^4*a^31*b^13*sin(c/2 + (d*x)/2) + 482112*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a
^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645
*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^33*b^11*sin(c/2 + (d*x)/2) - 79704*root(7290
*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12
393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^35*
b^9*sin(c/2 + (d*x)/2) + 7776*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6
- 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2
+ 135*a^2*b^8*d^2 + b^8, d, k)^4*a^37*b^7*sin(c/2 + (d*x)/2) - 324*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^
4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^39*b^5*sin(c/2 + (d*x)/2) + 243*root
(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*
a^5*b^40*sin(c/2 + (d*x)/2) - 4374*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^
8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^
6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^7*b^38*sin(c/2 + (d*x)/2) + 37179*root(7290*a^10*b^4*d^6 - 7290*a^8*b
^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8
*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^9*b^36*sin(c/2 + (d*x)/2) - 1
98288*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 72
9*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8
, d, k)^5*a^11*b^34*sin(c/2 + (d*x)/2) + 743580*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6
+ 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4
- 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^13*b^32*sin(c/2 + (d*x)/2) - 2082024*root(7290*a^10*b^4*
d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^
6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^15*b^30*sin(c
/2 + (d*x)/2) + 4511052*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729
*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135
*a^2*b^8*d^2 + b^8, d, k)^5*a^17*b^28*sin(c/2 + (d*x)/2) - 7733232*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 -
3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4
+ 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^19*b^26*sin(c/2 + (d*x)/2) + 10633194
*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^1
4*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d,
k)^5*a^21*b^24*sin(c/2 + (d*x)/2) - 11814660*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3
645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^23*b^22*sin(c/2 + (d*x)/2) + 10633194*root(7290*a^10*b^4*d^
6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*
d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^25*b^20*sin(c/2
+ (d*x)/2) - 7733232*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a
^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a
^2*b^8*d^2 + b^8, d, k)^5*a^27*b^18*sin(c/2 + (d*x)/2) + 4511052*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3
645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^29*b^16*sin(c/2 + (d*x)/2) - 2082024*ro
ot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d
^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^
5*a^31*b^14*sin(c/2 + (d*x)/2) + 743580*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a
^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a
^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^33*b^12*sin(c/2 + (d*x)/2) - 198288*root(7290*a^10*b^4*d^6 - 729
0*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3
645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^35*b^10*sin(c/2 + (d*x
)/2) + 37179*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d
^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^
2 + b^8, d, k)^5*a^37*b^8*sin(c/2 + (d*x)/2) - 4374*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*
d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8
*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^39*b^6*sin(c/2 + (d*x)/2) + 243*root(7290*a^10*b^4*d
^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6
*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^41*b^4*sin(c/2
+ (d*x)/2) + 24*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^
10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^
8*d^2 + b^8, d, k)*a*b^40*sin(c/2 + (d*x)/2) - 57*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^
6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d
^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^2*b^39*cos(c/2 + (d*x)/2) + 846*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^4*b^37*cos(c/2 + (d*
x)/2) - 5859*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d
^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^
2 + b^8, d, k)*a^6*b^35*cos(c/2 + (d*x)/2) + 25116*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d
^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*
d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^8*b^33*cos(c/2 + (d*x)/2) - 74529*root(7290*a^10*b^4*d^
6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*
d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^10*b^31*cos(c/2 +
(d*x)/2) + 162162*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*
b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*
b^8*d^2 + b^8, d, k)*a^12*b^29*cos(c/2 + (d*x)/2) - 267267*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^
12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*
a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^14*b^27*cos(c/2 + (d*x)/2) + 339768*root(7290*a
^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 1239
3*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^16*b^25
*cos(c/2 + (d*x)/2) - 335907*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6
- 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2
+ 135*a^2*b^8*d^2 + b^8, d, k)*a^18*b^23*cos(c/2 + (d*x)/2) + 258258*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d
^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^20*b^21*cos(c/2 + (d*x)/2) - 153153*r
oot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*
d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)
*a^22*b^19*cos(c/2 + (d*x)/2) + 68796*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6
*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4
*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^24*b^17*cos(c/2 + (d*x)/2) - 22659*root(7290*a^10*b^4*d^6 - 7290*a^8
*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a
^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^26*b^15*cos(c/2 + (d*x)/2) +
5166*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729
*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8,
d, k)*a^28*b^13*cos(c/2 + (d*x)/2) - 729*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645
*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135
*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^30*b^11*cos(c/2 + (d*x)/2) + 48*root(7290*a^10*b^4*d^6 - 7290*a^
8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*
a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^32*b^9*cos(c/2 + (d*x)/2)))/
cos(c/2 + (d*x)/2))*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4
*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2
*b^8*d^2 + b^8, d, k), k, 1, 6))/(a^4*d*cos(c/2 + (d*x)/2)^6 + b^4*d*cos(c/2 + (d*x)/2)^6 - a^4*d*sin(c/2 + (d
*x)/2)^6 - b^4*d*sin(c/2 + (d*x)/2)^6 - 2*a^2*b^2*d*cos(c/2 + (d*x)/2)^6 + 2*a^2*b^2*d*sin(c/2 + (d*x)/2)^6 +
3*a^4*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 - 3*a^4*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2 + 3*b^4*
d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 - 3*b^4*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2 - 6*a^2*b^2*d*
cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 + 6*a^2*b^2*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2) + (b^4*cos(
c/2 + (d*x)/2)^6*symsum(log(-(8192*(6*a^2*b^38*cos(c/2 + (d*x)/2) - 20*a*b^39*sin(c/2 + (d*x)/2) - 84*a^4*b^36
*cos(c/2 + (d*x)/2) + 546*a^6*b^34*cos(c/2 + (d*x)/2) - 2184*a^8*b^32*cos(c/2 + (d*x)/2) + 6006*a^10*b^30*cos(
c/2 + (d*x)/2) - 12012*a^12*b^28*cos(c/2 + (d*x)/2) + 18018*a^14*b^26*cos(c/2 + (d*x)/2) - 20592*a^16*b^24*cos
(c/2 + (d*x)/2) + 18018*a^18*b^22*cos(c/2 + (d*x)/2) - 12012*a^20*b^20*cos(c/2 + (d*x)/2) + 6006*a^22*b^18*cos
(c/2 + (d*x)/2) - 2184*a^24*b^16*cos(c/2 + (d*x)/2) + 546*a^26*b^14*cos(c/2 + (d*x)/2) - 84*a^28*b^12*cos(c/2
+ (d*x)/2) + 6*a^30*b^10*cos(c/2 + (d*x)/2) + 280*a^3*b^37*sin(c/2 + (d*x)/2) - 1820*a^5*b^35*sin(c/2 + (d*x)/
2) + 7280*a^7*b^33*sin(c/2 + (d*x)/2) - 20020*a^9*b^31*sin(c/2 + (d*x)/2) + 40040*a^11*b^29*sin(c/2 + (d*x)/2)
- 60060*a^13*b^27*sin(c/2 + (d*x)/2) + 68640*a^15*b^25*sin(c/2 + (d*x)/2) - 60060*a^17*b^23*sin(c/2 + (d*x)/2
) + 40040*a^19*b^21*sin(c/2 + (d*x)/2) - 20020*a^21*b^19*sin(c/2 + (d*x)/2) + 7280*a^23*b^17*sin(c/2 + (d*x)/2
) - 1820*a^25*b^15*sin(c/2 + (d*x)/2) + 280*a^27*b^13*sin(c/2 + (d*x)/2) - 20*a^29*b^11*sin(c/2 + (d*x)/2) - 5
88*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a
^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d
, k)*a^3*b^38*sin(c/2 + (d*x)/2) + 5715*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a
^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a
^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^5*b^36*sin(c/2 + (d*x)/2) - 31710*root(7290*a^10*b^4*d^6 - 7290*a^
8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*
a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^7*b^34*sin(c/2 + (d*x)/2) +
116025*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 7
29*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^
8, d, k)*a^9*b^32*sin(c/2 + (d*x)/2) - 301392*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^11*b^30*sin(c/2 + (d*x)/2) + 579579*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^13*b^28*sin(c/2 + (d
*x)/2) - 845130*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^1
0*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8
*d^2 + b^8, d, k)*a^15*b^26*sin(c/2 + (d*x)/2) + 945945*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*
b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4
*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^17*b^24*sin(c/2 + (d*x)/2) - 815100*root(7290*a^10
*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a
^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^19*b^22*si
n(c/2 + (d*x)/2) + 537537*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 7
29*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 1
35*a^2*b^8*d^2 + b^8, d, k)*a^21*b^20*sin(c/2 + (d*x)/2) - 266994*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 -
3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4
+ 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^23*b^18*sin(c/2 + (d*x)/2) + 96915*root(
7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^2
5*b^16*sin(c/2 + (d*x)/2) - 24360*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8
*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6
*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^27*b^14*sin(c/2 + (d*x)/2) + 3825*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*
d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^
4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^29*b^12*sin(c/2 + (d*x)/2) - 294*r
oot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*
d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)
*a^31*b^10*sin(c/2 + (d*x)/2) + 3*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8
*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6
*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^33*b^8*sin(c/2 + (d*x)/2) + 36*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d
^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^2*b^40*cos(c/2 + (d*x)/2) - 1143*ro
ot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d
^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^
2*a^4*b^38*cos(c/2 + (d*x)/2) + 11853*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6
*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4
*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^6*b^36*cos(c/2 + (d*x)/2) - 66087*root(7290*a^10*b^4*d^6 - 7290*a^
8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*
a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^8*b^34*cos(c/2 + (d*x)/2)
+ 235053*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 +
729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^2*a^10*b^32*cos(c/2 + (d*x)/2) - 577395*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d
^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*
d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^12*b^30*cos(c/2 + (d*x)/2) + 1018017*root(7290*a^10*b
^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6
*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^14*b^28*co
s(c/2 + (d*x)/2) - 1303731*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)^2*a^16*b^26*cos(c/2 + (d*x)/2) + 1193049*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^
6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*
d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^18*b^24*cos(c/2 + (d*x)/2) - 72458
1*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^
14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d,
k)^2*a^20*b^22*cos(c/2 + (d*x)/2) + 207207*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 36
45*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 1
35*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^22*b^20*cos(c/2 + (d*x)/2) + 85995*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^24*b^18*cos(c/2 + (
d*x)/2) - 133497*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^
10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^
8*d^2 + b^8, d, k)^2*a^26*b^16*cos(c/2 + (d*x)/2) + 75663*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^1
2*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a
^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^28*b^14*cos(c/2 + (d*x)/2) - 24597*root(7290*a
^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 1239
3*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^30*b^
12*cos(c/2 + (d*x)/2) + 4527*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6
- 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2
+ 135*a^2*b^8*d^2 + b^8, d, k)^2*a^32*b^10*cos(c/2 + (d*x)/2) - 369*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^
4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^34*b^8*cos(c/2 + (d*x)/2) - 3078*roo
t(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^
6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3
*a^4*b^39*cos(c/2 + (d*x)/2) + 33453*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*
b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*
b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^6*b^37*cos(c/2 + (d*x)/2) - 147744*root(7290*a^10*b^4*d^6 - 7290*a^
8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*
a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^8*b^35*cos(c/2 + (d*x)/2)
+ 279531*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 +
729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^3*a^10*b^33*cos(c/2 + (d*x)/2) + 191646*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d
^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*
d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^12*b^31*cos(c/2 + (d*x)/2) - 2542995*root(7290*a^10*b
^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6
*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^14*b^29*co
s(c/2 + (d*x)/2) + 7459452*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)^3*a^16*b^27*cos(c/2 + (d*x)/2) - 13193037*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d
^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4
*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^18*b^25*cos(c/2 + (d*x)/2) + 1605
4038*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729
*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8,
d, k)^3*a^20*b^23*cos(c/2 + (d*x)/2) - 13888017*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6
+ 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^
4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^22*b^21*cos(c/2 + (d*x)/2) + 8432424*root(7290*a^10*b^4
*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b
^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^24*b^19*cos(
c/2 + (d*x)/2) - 3339063*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 72
9*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 13
5*a^2*b^8*d^2 + b^8, d, k)^3*a^26*b^17*cos(c/2 + (d*x)/2) + 633906*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 -
3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4
+ 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^28*b^15*cos(c/2 + (d*x)/2) + 109431*r
oot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*
d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)
^3*a^30*b^13*cos(c/2 + (d*x)/2) - 104004*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*
a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*
a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^32*b^11*cos(c/2 + (d*x)/2) + 26649*root(7290*a^10*b^4*d^6 - 729
0*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3
645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^34*b^9*cos(c/2 + (d*x)
/2) - 2592*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2
+ b^8, d, k)^3*a^36*b^7*cos(c/2 + (d*x)/2) + 891*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6
+ 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^
4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^4*b^40*cos(c/2 + (d*x)/2) - 12879*root(7290*a^10*b^4*d^
6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*
d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^6*b^38*cos(c/2
+ (d*x)/2) + 84807*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*
b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*
b^8*d^2 + b^8, d, k)^4*a^8*b^36*cos(c/2 + (d*x)/2) - 332424*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a
^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645
*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^10*b^34*cos(c/2 + (d*x)/2) + 840780*root(729
0*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 1
2393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^12
*b^32*cos(c/2 + (d*x)/2) - 1340388*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^
8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^
6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^14*b^30*cos(c/2 + (d*x)/2) + 972972*root(7290*a^10*b^4*d^6 - 7290*a^8
*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a
^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^16*b^28*cos(c/2 + (d*x)/2)
+ 1187784*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^4*a^18*b^26*cos(c/2 + (d*x)/2) - 4934358*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2
*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^
8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^20*b^24*cos(c/2 + (d*x)/2) + 8455590*root(7290*a^10
*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a
^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^22*b^22*
cos(c/2 + (d*x)/2) - 9660222*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6
- 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2
+ 135*a^2*b^8*d^2 + b^8, d, k)^4*a^24*b^20*cos(c/2 + (d*x)/2) + 8061768*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*
d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^
4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^26*b^18*cos(c/2 + (d*x)/2) - 504
1764*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729
*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8,
d, k)^4*a^28*b^16*cos(c/2 + (d*x)/2) + 2360988*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6
+ 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4
- 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^30*b^14*cos(c/2 + (d*x)/2) - 811620*root(7290*a^10*b^4*d
^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6
*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^32*b^12*cos(c/
2 + (d*x)/2) + 196344*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a
^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a
^2*b^8*d^2 + b^8, d, k)^4*a^34*b^10*cos(c/2 + (d*x)/2) - 30861*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 364
5*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3
645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^36*b^8*cos(c/2 + (d*x)/2) + 2673*root(729
0*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 1
2393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^38
*b^6*cos(c/2 + (d*x)/2) - 81*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6
- 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2
+ 135*a^2*b^8*d^2 + b^8, d, k)^4*a^40*b^4*cos(c/2 + (d*x)/2) + 972*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 -
3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4
+ 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^4*b^41*cos(c/2 + (d*x)/2) - 18225*roo
t(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^
6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5
*a^6*b^39*cos(c/2 + (d*x)/2) + 161838*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6
*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4
*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^8*b^37*cos(c/2 + (d*x)/2) - 904689*root(7290*a^10*b^4*d^6 - 7290*a
^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645
*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^10*b^35*cos(c/2 + (d*x)/2
) + 3569184*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^
6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2
+ b^8, d, k)^5*a^12*b^33*cos(c/2 + (d*x)/2) - 10558836*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*
b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4
*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^14*b^31*cos(c/2 + (d*x)/2) + 24290280*root(7290*
a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 123
93*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^16*b
^29*cos(c/2 + (d*x)/2) - 44466084*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8
*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6
*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^18*b^27*cos(c/2 + (d*x)/2) + 65732472*root(7290*a^10*b^4*d^6 - 7290*a^
8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*
a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^20*b^25*cos(c/2 + (d*x)/2)
- 79158222*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^
6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2
+ b^8, d, k)^5*a^22*b^23*cos(c/2 + (d*x)/2) + 77976756*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*
b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4
*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^24*b^21*cos(c/2 + (d*x)/2) - 62832510*root(7290*
a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 123
93*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^26*b
^19*cos(c/2 + (d*x)/2) + 41243904*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8
*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6
*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^28*b^17*cos(c/2 + (d*x)/2) - 21861252*root(7290*a^10*b^4*d^6 - 7290*a^
8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*
a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^30*b^15*cos(c/2 + (d*x)/2)
+ 9220392*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2
+ b^8, d, k)^5*a^32*b^13*cos(c/2 + (d*x)/2) - 3023892*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^
2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b
^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^34*b^11*cos(c/2 + (d*x)/2) + 743580*root(7290*a^10
*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a
^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^36*b^9*c
os(c/2 + (d*x)/2) - 129033*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)^5*a^38*b^7*cos(c/2 + (d*x)/2) + 14094*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 -
3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4
+ 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^40*b^5*cos(c/2 + (d*x)/2) - 729*root(
7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a
^42*b^3*cos(c/2 + (d*x)/2) - 936*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*
d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*
d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^3*b^39*sin(c/2 + (d*x)/2) + 13032*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6
*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b
^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^5*b^37*sin(c/2 + (d*x)/2) - 841
32*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a
^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d
, k)^2*a^7*b^35*sin(c/2 + (d*x)/2) + 333648*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 36
45*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 1
35*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^9*b^33*sin(c/2 + (d*x)/2) - 907452*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^11*b^31*sin(c/2 + (
d*x)/2) + 1788696*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b
^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b
^8*d^2 + b^8, d, k)^2*a^13*b^29*sin(c/2 + (d*x)/2) - 2630628*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*
a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 364
5*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^15*b^27*sin(c/2 + (d*x)/2) + 2924064*root(7
290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^
17*b^25*sin(c/2 + (d*x)/2) - 2455596*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*
b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*
b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^19*b^23*sin(c/2 + (d*x)/2) + 1534104*root(7290*a^10*b^4*d^6 - 7290*
a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 364
5*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^21*b^21*sin(c/2 + (d*x)/
2) - 684684*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^
6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2
+ b^8, d, k)^2*a^23*b^19*sin(c/2 + (d*x)/2) + 196560*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^
2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b
^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^25*b^17*sin(c/2 + (d*x)/2) - 22932*root(7290*a^10*
b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^
6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^27*b^15*s
in(c/2 + (d*x)/2) - 6552*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 72
9*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 13
5*a^2*b^8*d^2 + b^8, d, k)^2*a^29*b^13*sin(c/2 + (d*x)/2) + 3348*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3
645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^31*b^11*sin(c/2 + (d*x)/2) - 576*root(7
290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^
33*b^9*sin(c/2 + (d*x)/2) + 36*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^
6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^
2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^35*b^7*sin(c/2 + (d*x)/2) + 1080*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^
6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*
d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^3*b^40*sin(c/2 + (d*x)/2) - 6048*r
oot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*
d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)
^3*a^5*b^38*sin(c/2 + (d*x)/2) - 23625*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^
6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^
4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^7*b^36*sin(c/2 + (d*x)/2) + 361044*root(7290*a^10*b^4*d^6 - 7290*
a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 364
5*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^9*b^34*sin(c/2 + (d*x)/2
) - 1757511*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^
6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2
+ b^8, d, k)^3*a^11*b^32*sin(c/2 + (d*x)/2) + 5066334*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b
^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*
b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^13*b^30*sin(c/2 + (d*x)/2) - 9830457*root(7290*a^
10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393
*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^15*b^2
8*sin(c/2 + (d*x)/2) + 13374504*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d
^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d
^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^17*b^26*sin(c/2 + (d*x)/2) - 12675663*root(7290*a^10*b^4*d^6 - 7290*a^8*
b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^
8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^19*b^24*sin(c/2 + (d*x)/2) +
7729722*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 +
729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^3*a^21*b^22*sin(c/2 + (d*x)/2) - 1942083*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*
d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8
*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^23*b^20*sin(c/2 + (d*x)/2) - 1366092*root(7290*a^10*
b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^
6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^25*b^18*s
in(c/2 + (d*x)/2) + 1796067*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)^3*a^27*b^16*sin(c/2 + (d*x)/2) - 993006*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^
6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*
d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^29*b^14*sin(c/2 + (d*x)/2) + 31878
9*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^
14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d,
k)^3*a^31*b^12*sin(c/2 + (d*x)/2) - 57456*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 364
5*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 13
5*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^33*b^10*sin(c/2 + (d*x)/2) + 4347*root(7290*a^10*b^4*d^6 - 72
90*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 +
3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^35*b^8*sin(c/2 + (d*x
)/2) + 54*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^3*a^37*b^6*sin(c/2 + (d*x)/2) + 648*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6
+ 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4
- 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^3*b^41*sin(c/2 + (d*x)/2) - 7776*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^
4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^5*b^39*sin(c/2 +
(d*x)/2) + 35964*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^
10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^
8*d^2 + b^8, d, k)^4*a^7*b^37*sin(c/2 + (d*x)/2) - 46656*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12
*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^
4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^9*b^35*sin(c/2 + (d*x)/2) - 311040*root(7290*a^
10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393
*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^11*b^3
3*sin(c/2 + (d*x)/2) + 2068416*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^
6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^
2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^13*b^31*sin(c/2 + (d*x)/2) - 6722352*root(7290*a^10*b^4*d^6 - 7290*a^8*b^
6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*
b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^15*b^29*sin(c/2 + (d*x)/2) + 1
4758848*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 +
729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b
^8, d, k)^4*a^17*b^27*sin(c/2 + (d*x)/2) - 23907312*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*
d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8
*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^19*b^25*sin(c/2 + (d*x)/2) + 29652480*root(7290*a^10
*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a
^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^21*b^23*
sin(c/2 + (d*x)/2) - 28633176*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6
- 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2
+ 135*a^2*b^8*d^2 + b^8, d, k)^4*a^23*b^21*sin(c/2 + (d*x)/2) + 21632832*root(7290*a^10*b^4*d^6 - 7290*a^8*b^
6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*
b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^25*b^19*sin(c/2 + (d*x)/2) - 1
2737088*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 +
729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b
^8, d, k)^4*a^27*b^17*sin(c/2 + (d*x)/2) + 5769792*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d
^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*
d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^29*b^15*sin(c/2 + (d*x)/2) - 1963440*root(7290*a^10*b
^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6
*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^31*b^13*si
n(c/2 + (d*x)/2) + 482112*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 7
29*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 1
35*a^2*b^8*d^2 + b^8, d, k)^4*a^33*b^11*sin(c/2 + (d*x)/2) - 79704*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 -
3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4
+ 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^35*b^9*sin(c/2 + (d*x)/2) + 7776*root
(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*
a^37*b^7*sin(c/2 + (d*x)/2) - 324*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8
*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6
*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^39*b^5*sin(c/2 + (d*x)/2) + 243*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*
d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^
4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^5*b^40*sin(c/2 + (d*x)/2) - 4374
*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^1
4*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d,
k)^5*a^7*b^38*sin(c/2 + (d*x)/2) + 37179*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*
a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*
a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^9*b^36*sin(c/2 + (d*x)/2) - 198288*root(7290*a^10*b^4*d^6 - 729
0*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3
645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^11*b^34*sin(c/2 + (d*x
)/2) + 743580*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*
d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d
^2 + b^8, d, k)^5*a^13*b^32*sin(c/2 + (d*x)/2) - 2082024*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12
*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^
4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^15*b^30*sin(c/2 + (d*x)/2) + 4511052*root(7290*
a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 123
93*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^17*b
^28*sin(c/2 + (d*x)/2) - 7733232*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*
d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*
d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^19*b^26*sin(c/2 + (d*x)/2) + 10633194*root(7290*a^10*b^4*d^6 - 7290*a^8
*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a
^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^21*b^24*sin(c/2 + (d*x)/2)
- 11814660*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2
+ b^8, d, k)^5*a^23*b^22*sin(c/2 + (d*x)/2) + 10633194*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b
^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*
b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^25*b^20*sin(c/2 + (d*x)/2) - 7733232*root(7290*a^
10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393
*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^27*b^1
8*sin(c/2 + (d*x)/2) + 4511052*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^
6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^
2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^29*b^16*sin(c/2 + (d*x)/2) - 2082024*root(7290*a^10*b^4*d^6 - 7290*a^8*b^
6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*
b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^31*b^14*sin(c/2 + (d*x)/2) + 7
43580*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 72
9*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8
, d, k)^5*a^33*b^12*sin(c/2 + (d*x)/2) - 198288*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6
+ 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4
- 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^35*b^10*sin(c/2 + (d*x)/2) + 37179*root(7290*a^10*b^4*d^
6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*
d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^37*b^8*sin(c/2
+ (d*x)/2) - 4374*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b
^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b
^8*d^2 + b^8, d, k)^5*a^39*b^6*sin(c/2 + (d*x)/2) + 243*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*
b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4
*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^41*b^4*sin(c/2 + (d*x)/2) + 24*root(7290*a^10*b^
4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*
b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a*b^40*sin(c/2
+ (d*x)/2) - 57*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^1
0*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8
*d^2 + b^8, d, k)*a^2*b^39*cos(c/2 + (d*x)/2) + 846*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*
d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8
*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^4*b^37*cos(c/2 + (d*x)/2) - 5859*root(7290*a^10*b^4*d^
6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*
d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^6*b^35*cos(c/2 +
(d*x)/2) + 25116*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^
10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^
8*d^2 + b^8, d, k)*a^8*b^33*cos(c/2 + (d*x)/2) - 74529*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b
^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*
b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^10*b^31*cos(c/2 + (d*x)/2) + 162162*root(7290*a^10*
b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^
6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^12*b^29*cos
(c/2 + (d*x)/2) - 267267*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 72
9*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 13
5*a^2*b^8*d^2 + b^8, d, k)*a^14*b^27*cos(c/2 + (d*x)/2) + 339768*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3
645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^16*b^25*cos(c/2 + (d*x)/2) - 335907*root(
7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^1
8*b^23*cos(c/2 + (d*x)/2) + 258258*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^
8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^
6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^20*b^21*cos(c/2 + (d*x)/2) - 153153*root(7290*a^10*b^4*d^6 - 7290*a^8*b
^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8
*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^22*b^19*cos(c/2 + (d*x)/2) + 68
796*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*
a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8,
d, k)*a^24*b^17*cos(c/2 + (d*x)/2) - 22659*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 364
5*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 13
5*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^26*b^15*cos(c/2 + (d*x)/2) + 5166*root(7290*a^10*b^4*d^6 - 7290
*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 36
45*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^28*b^13*cos(c/2 + (d*x)/2
) - 729*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 +
729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b
^8, d, k)*a^30*b^11*cos(c/2 + (d*x)/2) + 48*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 36
45*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 1
35*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^32*b^9*cos(c/2 + (d*x)/2)))/cos(c/2 + (d*x)/2))*root(7290*a^10
*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a
^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k), k, 1, 6))/(
a^4*d*cos(c/2 + (d*x)/2)^6 + b^4*d*cos(c/2 + (d*x)/2)^6 - a^4*d*sin(c/2 + (d*x)/2)^6 - b^4*d*sin(c/2 + (d*x)/2
)^6 - 2*a^2*b^2*d*cos(c/2 + (d*x)/2)^6 + 2*a^2*b^2*d*sin(c/2 + (d*x)/2)^6 + 3*a^4*d*cos(c/2 + (d*x)/2)^2*sin(c
/2 + (d*x)/2)^4 - 3*a^4*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2 + 3*b^4*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (
d*x)/2)^4 - 3*b^4*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2 - 6*a^2*b^2*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*
x)/2)^4 + 6*a^2*b^2*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2) - (a^4*sin(c/2 + (d*x)/2)^6*symsum(log(-(8192
*(6*a^2*b^38*cos(c/2 + (d*x)/2) - 20*a*b^39*sin(c/2 + (d*x)/2) - 84*a^4*b^36*cos(c/2 + (d*x)/2) + 546*a^6*b^34
*cos(c/2 + (d*x)/2) - 2184*a^8*b^32*cos(c/2 + (d*x)/2) + 6006*a^10*b^30*cos(c/2 + (d*x)/2) - 12012*a^12*b^28*c
os(c/2 + (d*x)/2) + 18018*a^14*b^26*cos(c/2 + (d*x)/2) - 20592*a^16*b^24*cos(c/2 + (d*x)/2) + 18018*a^18*b^22*
cos(c/2 + (d*x)/2) - 12012*a^20*b^20*cos(c/2 + (d*x)/2) + 6006*a^22*b^18*cos(c/2 + (d*x)/2) - 2184*a^24*b^16*c
os(c/2 + (d*x)/2) + 546*a^26*b^14*cos(c/2 + (d*x)/2) - 84*a^28*b^12*cos(c/2 + (d*x)/2) + 6*a^30*b^10*cos(c/2 +
(d*x)/2) + 280*a^3*b^37*sin(c/2 + (d*x)/2) - 1820*a^5*b^35*sin(c/2 + (d*x)/2) + 7280*a^7*b^33*sin(c/2 + (d*x)
/2) - 20020*a^9*b^31*sin(c/2 + (d*x)/2) + 40040*a^11*b^29*sin(c/2 + (d*x)/2) - 60060*a^13*b^27*sin(c/2 + (d*x)
/2) + 68640*a^15*b^25*sin(c/2 + (d*x)/2) - 60060*a^17*b^23*sin(c/2 + (d*x)/2) + 40040*a^19*b^21*sin(c/2 + (d*x
)/2) - 20020*a^21*b^19*sin(c/2 + (d*x)/2) + 7280*a^23*b^17*sin(c/2 + (d*x)/2) - 1820*a^25*b^15*sin(c/2 + (d*x)
/2) + 280*a^27*b^13*sin(c/2 + (d*x)/2) - 20*a^29*b^11*sin(c/2 + (d*x)/2) - 588*root(7290*a^10*b^4*d^6 - 7290*a
^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645
*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^3*b^38*sin(c/2 + (d*x)/2) +
5715*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 72
9*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8
, d, k)*a^5*b^36*sin(c/2 + (d*x)/2) - 31710*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 36
45*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 1
35*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^7*b^34*sin(c/2 + (d*x)/2) + 116025*root(7290*a^10*b^4*d^6 - 72
90*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 +
3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^9*b^32*sin(c/2 + (d*x)/
2) - 301392*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^
6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2
+ b^8, d, k)*a^11*b^30*sin(c/2 + (d*x)/2) + 579579*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*
d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8
*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^13*b^28*sin(c/2 + (d*x)/2) - 845130*root(7290*a^10*b^4
*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b
^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^15*b^26*sin(c/
2 + (d*x)/2) + 945945*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a
^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a
^2*b^8*d^2 + b^8, d, k)*a^17*b^24*sin(c/2 + (d*x)/2) - 815100*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645
*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 36
45*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^19*b^22*sin(c/2 + (d*x)/2) + 537537*root(729
0*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 1
2393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^21*b
^20*sin(c/2 + (d*x)/2) - 266994*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d
^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d
^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^23*b^18*sin(c/2 + (d*x)/2) + 96915*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d
^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4
*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^25*b^16*sin(c/2 + (d*x)/2) - 24360*
root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14
*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k
)*a^27*b^14*sin(c/2 + (d*x)/2) + 3825*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6
*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4
*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^29*b^12*sin(c/2 + (d*x)/2) - 294*root(7290*a^10*b^4*d^6 - 7290*a^8*b
^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8
*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^31*b^10*sin(c/2 + (d*x)/2) + 3*
root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14
*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k
)*a^33*b^8*sin(c/2 + (d*x)/2) + 36*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^
8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^
6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^2*b^40*cos(c/2 + (d*x)/2) - 1143*root(7290*a^10*b^4*d^6 - 7290*a^8*b^
6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*
b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^4*b^38*cos(c/2 + (d*x)/2) + 11
853*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*
a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8,
d, k)^2*a^6*b^36*cos(c/2 + (d*x)/2) - 66087*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 36
45*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 1
35*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^8*b^34*cos(c/2 + (d*x)/2) + 235053*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^10*b^32*cos(c/2 + (
d*x)/2) - 577395*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^
10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^
8*d^2 + b^8, d, k)^2*a^12*b^30*cos(c/2 + (d*x)/2) + 1018017*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a
^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645
*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^14*b^28*cos(c/2 + (d*x)/2) - 1303731*root(72
90*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^1
6*b^26*cos(c/2 + (d*x)/2) + 1193049*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b
^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b
^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^18*b^24*cos(c/2 + (d*x)/2) - 724581*root(7290*a^10*b^4*d^6 - 7290*a^
8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*
a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^20*b^22*cos(c/2 + (d*x)/2)
+ 207207*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^2*a^22*b^20*cos(c/2 + (d*x)/2) + 85995*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d
^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*
d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^24*b^18*cos(c/2 + (d*x)/2) - 133497*root(7290*a^10*b^
4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*
b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^26*b^16*cos
(c/2 + (d*x)/2) + 75663*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729
*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135
*a^2*b^8*d^2 + b^8, d, k)^2*a^28*b^14*cos(c/2 + (d*x)/2) - 24597*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3
645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^30*b^12*cos(c/2 + (d*x)/2) + 4527*root(
7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a
^32*b^10*cos(c/2 + (d*x)/2) - 369*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8
*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6
*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^34*b^8*cos(c/2 + (d*x)/2) - 3078*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6
*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b
^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^4*b^39*cos(c/2 + (d*x)/2) + 334
53*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a
^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d
, k)^3*a^6*b^37*cos(c/2 + (d*x)/2) - 147744*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 36
45*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 1
35*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^8*b^35*cos(c/2 + (d*x)/2) + 279531*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^10*b^33*cos(c/2 + (
d*x)/2) + 191646*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^
10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^
8*d^2 + b^8, d, k)^3*a^12*b^31*cos(c/2 + (d*x)/2) - 2542995*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a
^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645
*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^14*b^29*cos(c/2 + (d*x)/2) + 7459452*root(72
90*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^1
6*b^27*cos(c/2 + (d*x)/2) - 13193037*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*
b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*
b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^18*b^25*cos(c/2 + (d*x)/2) + 16054038*root(7290*a^10*b^4*d^6 - 7290
*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 36
45*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^20*b^23*cos(c/2 + (d*x)
/2) - 13888017*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10
*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*
d^2 + b^8, d, k)^3*a^22*b^21*cos(c/2 + (d*x)/2) + 8432424*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^1
2*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a
^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^24*b^19*cos(c/2 + (d*x)/2) - 3339063*root(7290
*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12
393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^26*
b^17*cos(c/2 + (d*x)/2) + 633906*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*
d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*
d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^28*b^15*cos(c/2 + (d*x)/2) + 109431*root(7290*a^10*b^4*d^6 - 7290*a^8*b
^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8
*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^30*b^13*cos(c/2 + (d*x)/2) -
104004*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 7
29*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^
8, d, k)^3*a^32*b^11*cos(c/2 + (d*x)/2) + 26649*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6
+ 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4
- 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^34*b^9*cos(c/2 + (d*x)/2) - 2592*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^
4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^36*b^7*cos(c/2 +
(d*x)/2) + 891*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10
*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*
d^2 + b^8, d, k)^4*a^4*b^40*cos(c/2 + (d*x)/2) - 12879*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b
^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*
b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^6*b^38*cos(c/2 + (d*x)/2) + 84807*root(7290*a^10*
b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^
6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^8*b^36*co
s(c/2 + (d*x)/2) - 332424*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 7
29*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 1
35*a^2*b^8*d^2 + b^8, d, k)^4*a^10*b^34*cos(c/2 + (d*x)/2) + 840780*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^
4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^12*b^32*cos(c/2 + (d*x)/2) - 1340388
*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^1
4*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d,
k)^4*a^14*b^30*cos(c/2 + (d*x)/2) + 972972*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 364
5*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 13
5*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^16*b^28*cos(c/2 + (d*x)/2) + 1187784*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^18*b^26*cos(c/2 +
(d*x)/2) - 4934358*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*
b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*
b^8*d^2 + b^8, d, k)^4*a^20*b^24*cos(c/2 + (d*x)/2) + 8455590*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645
*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 36
45*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^22*b^22*cos(c/2 + (d*x)/2) - 9660222*root(
7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a
^24*b^20*cos(c/2 + (d*x)/2) + 8061768*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6
*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4
*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^26*b^18*cos(c/2 + (d*x)/2) - 5041764*root(7290*a^10*b^4*d^6 - 7290
*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 36
45*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^28*b^16*cos(c/2 + (d*x)
/2) + 2360988*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*
d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d
^2 + b^8, d, k)^4*a^30*b^14*cos(c/2 + (d*x)/2) - 811620*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*
b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4
*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^32*b^12*cos(c/2 + (d*x)/2) + 196344*root(7290*a^
10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393
*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^34*b^1
0*cos(c/2 + (d*x)/2) - 30861*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6
- 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2
+ 135*a^2*b^8*d^2 + b^8, d, k)^4*a^36*b^8*cos(c/2 + (d*x)/2) + 2673*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^
4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^38*b^6*cos(c/2 + (d*x)/2) - 81*root(
7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a
^40*b^4*cos(c/2 + (d*x)/2) + 972*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*
d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*
d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^4*b^41*cos(c/2 + (d*x)/2) - 18225*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6
*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b
^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^6*b^39*cos(c/2 + (d*x)/2) + 161
838*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*
a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8,
d, k)^5*a^8*b^37*cos(c/2 + (d*x)/2) - 904689*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3
645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^10*b^35*cos(c/2 + (d*x)/2) + 3569184*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d
^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^12*b^33*cos(c/2
+ (d*x)/2) - 10558836*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a
^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a
^2*b^8*d^2 + b^8, d, k)^5*a^14*b^31*cos(c/2 + (d*x)/2) + 24290280*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 -
3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4
+ 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^16*b^29*cos(c/2 + (d*x)/2) - 44466084*
root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14
*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k
)^5*a^18*b^27*cos(c/2 + (d*x)/2) + 65732472*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 36
45*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 1
35*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^20*b^25*cos(c/2 + (d*x)/2) - 79158222*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d
^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^22*b^23*cos(c/2
+ (d*x)/2) + 77976756*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a
^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a
^2*b^8*d^2 + b^8, d, k)^5*a^24*b^21*cos(c/2 + (d*x)/2) - 62832510*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 -
3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4
+ 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^26*b^19*cos(c/2 + (d*x)/2) + 41243904*
root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14
*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k
)^5*a^28*b^17*cos(c/2 + (d*x)/2) - 21861252*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 36
45*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 1
35*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^30*b^15*cos(c/2 + (d*x)/2) + 9220392*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^
4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^32*b^13*cos(c/2 +
(d*x)/2) - 3023892*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4
*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2
*b^8*d^2 + b^8, d, k)^5*a^34*b^11*cos(c/2 + (d*x)/2) + 743580*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645
*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 36
45*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^36*b^9*cos(c/2 + (d*x)/2) - 129033*root(72
90*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^3
8*b^7*cos(c/2 + (d*x)/2) + 14094*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*
d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*
d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^40*b^5*cos(c/2 + (d*x)/2) - 729*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d
^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4
*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^42*b^3*cos(c/2 + (d*x)/2) - 936*r
oot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*
d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)
^2*a^3*b^39*sin(c/2 + (d*x)/2) + 13032*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^
6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^
4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^5*b^37*sin(c/2 + (d*x)/2) - 84132*root(7290*a^10*b^4*d^6 - 7290*a
^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645
*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^7*b^35*sin(c/2 + (d*x)/2)
+ 333648*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^2*a^9*b^33*sin(c/2 + (d*x)/2) - 907452*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d
^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*
d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^11*b^31*sin(c/2 + (d*x)/2) + 1788696*root(7290*a^10*b
^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6
*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^13*b^29*si
n(c/2 + (d*x)/2) - 2630628*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)^2*a^15*b^27*sin(c/2 + (d*x)/2) + 2924064*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^
6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*
d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^17*b^25*sin(c/2 + (d*x)/2) - 24555
96*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a
^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d
, k)^2*a^19*b^23*sin(c/2 + (d*x)/2) + 1534104*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^21*b^21*sin(c/2 + (d*x)/2) - 684684*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d
^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^23*b^19*sin(c/2
+ (d*x)/2) + 196560*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4
*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2
*b^8*d^2 + b^8, d, k)^2*a^25*b^17*sin(c/2 + (d*x)/2) - 22932*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*
a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 364
5*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^27*b^15*sin(c/2 + (d*x)/2) - 6552*root(7290
*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12
393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^29*
b^13*sin(c/2 + (d*x)/2) + 3348*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^
6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^
2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^31*b^11*sin(c/2 + (d*x)/2) - 576*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^
6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*
d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^33*b^9*sin(c/2 + (d*x)/2) + 36*roo
t(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^
6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2
*a^35*b^7*sin(c/2 + (d*x)/2) + 1080*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b
^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b
^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^3*b^40*sin(c/2 + (d*x)/2) - 6048*root(7290*a^10*b^4*d^6 - 7290*a^8*b
^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8
*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^5*b^38*sin(c/2 + (d*x)/2) - 2
3625*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729
*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8,
d, k)^3*a^7*b^36*sin(c/2 + (d*x)/2) + 361044*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^9*b^34*sin(c/2 + (d*x)/2) - 1757511*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d
^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^11*b^32*sin(c/2
+ (d*x)/2) + 5066334*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^
4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^
2*b^8*d^2 + b^8, d, k)^3*a^13*b^30*sin(c/2 + (d*x)/2) - 9830457*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 36
45*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^15*b^28*sin(c/2 + (d*x)/2) + 13374504*ro
ot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d
^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^
3*a^17*b^26*sin(c/2 + (d*x)/2) - 12675663*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645
*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135
*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^19*b^24*sin(c/2 + (d*x)/2) + 7729722*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^21*b^22*sin(c/2 + (
d*x)/2) - 1942083*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b
^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b
^8*d^2 + b^8, d, k)^3*a^23*b^20*sin(c/2 + (d*x)/2) - 1366092*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*
a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 364
5*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^25*b^18*sin(c/2 + (d*x)/2) + 1796067*root(7
290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^
27*b^16*sin(c/2 + (d*x)/2) - 993006*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b
^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b
^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^29*b^14*sin(c/2 + (d*x)/2) + 318789*root(7290*a^10*b^4*d^6 - 7290*a^
8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*
a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^31*b^12*sin(c/2 + (d*x)/2)
- 57456*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 +
729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^3*a^33*b^10*sin(c/2 + (d*x)/2) + 4347*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6
+ 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^
4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^35*b^8*sin(c/2 + (d*x)/2) + 54*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^37*b^6*sin(c/2 + (
d*x)/2) + 648*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*
d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d
^2 + b^8, d, k)^4*a^3*b^41*sin(c/2 + (d*x)/2) - 7776*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2
*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^
8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^5*b^39*sin(c/2 + (d*x)/2) + 35964*root(7290*a^10*b^
4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*
b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^7*b^37*sin(
c/2 + (d*x)/2) - 46656*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*
a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*
a^2*b^8*d^2 + b^8, d, k)^4*a^9*b^35*sin(c/2 + (d*x)/2) - 311040*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 36
45*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^11*b^33*sin(c/2 + (d*x)/2) + 2068416*roo
t(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^
6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4
*a^13*b^31*sin(c/2 + (d*x)/2) - 6722352*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a
^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a
^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^15*b^29*sin(c/2 + (d*x)/2) + 14758848*root(7290*a^10*b^4*d^6 - 7
290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 +
3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^17*b^27*sin(c/2 + (d
*x)/2) - 23907312*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b
^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b
^8*d^2 + b^8, d, k)^4*a^19*b^25*sin(c/2 + (d*x)/2) + 29652480*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645
*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 36
45*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^21*b^23*sin(c/2 + (d*x)/2) - 28633176*root
(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*
a^23*b^21*sin(c/2 + (d*x)/2) + 21632832*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a
^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a
^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^25*b^19*sin(c/2 + (d*x)/2) - 12737088*root(7290*a^10*b^4*d^6 - 7
290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 +
3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^27*b^17*sin(c/2 + (d
*x)/2) + 5769792*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^
10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^
8*d^2 + b^8, d, k)^4*a^29*b^15*sin(c/2 + (d*x)/2) - 1963440*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a
^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645
*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^31*b^13*sin(c/2 + (d*x)/2) + 482112*root(729
0*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 1
2393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^33
*b^11*sin(c/2 + (d*x)/2) - 79704*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*
d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*
d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^35*b^9*sin(c/2 + (d*x)/2) + 7776*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*
d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^
4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^37*b^7*sin(c/2 + (d*x)/2) - 324*
root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14
*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k
)^4*a^39*b^5*sin(c/2 + (d*x)/2) + 243*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6
*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4
*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^5*b^40*sin(c/2 + (d*x)/2) - 4374*root(7290*a^10*b^4*d^6 - 7290*a^8
*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a
^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^7*b^38*sin(c/2 + (d*x)/2) +
37179*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 7
29*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^
8, d, k)^5*a^9*b^36*sin(c/2 + (d*x)/2) - 198288*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6
+ 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4
- 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^11*b^34*sin(c/2 + (d*x)/2) + 743580*root(7290*a^10*b^4*d
^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6
*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^13*b^32*sin(c/
2 + (d*x)/2) - 2082024*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*
a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*
a^2*b^8*d^2 + b^8, d, k)^5*a^15*b^30*sin(c/2 + (d*x)/2) + 4511052*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 -
3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4
+ 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^17*b^28*sin(c/2 + (d*x)/2) - 7733232*r
oot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*
d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)
^5*a^19*b^26*sin(c/2 + (d*x)/2) + 10633194*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 364
5*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 13
5*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^21*b^24*sin(c/2 + (d*x)/2) - 11814660*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^
4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^23*b^22*sin(c/2 +
(d*x)/2) + 10633194*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^
4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^
2*b^8*d^2 + b^8, d, k)^5*a^25*b^20*sin(c/2 + (d*x)/2) - 7733232*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 36
45*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^27*b^18*sin(c/2 + (d*x)/2) + 4511052*roo
t(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^
6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5
*a^29*b^16*sin(c/2 + (d*x)/2) - 2082024*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a
^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a
^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^31*b^14*sin(c/2 + (d*x)/2) + 743580*root(7290*a^10*b^4*d^6 - 729
0*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3
645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^33*b^12*sin(c/2 + (d*x
)/2) - 198288*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*
d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d
^2 + b^8, d, k)^5*a^35*b^10*sin(c/2 + (d*x)/2) + 37179*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b
^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*
b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^37*b^8*sin(c/2 + (d*x)/2) - 4374*root(7290*a^10*b
^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6
*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^39*b^6*sin
(c/2 + (d*x)/2) + 243*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a
^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a
^2*b^8*d^2 + b^8, d, k)^5*a^41*b^4*sin(c/2 + (d*x)/2) + 24*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^
12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*
a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a*b^40*sin(c/2 + (d*x)/2) - 57*root(7290*a^10*b^4
*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b
^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^2*b^39*cos(c/2
+ (d*x)/2) + 846*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b
^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b
^8*d^2 + b^8, d, k)*a^4*b^37*cos(c/2 + (d*x)/2) - 5859*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b
^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*
b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^6*b^35*cos(c/2 + (d*x)/2) + 25116*root(7290*a^10*b^
4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*
b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^8*b^33*cos(c/
2 + (d*x)/2) - 74529*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^
4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^
2*b^8*d^2 + b^8, d, k)*a^10*b^31*cos(c/2 + (d*x)/2) + 162162*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*
a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 364
5*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^12*b^29*cos(c/2 + (d*x)/2) - 267267*root(7290
*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12
393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^14*b^
27*cos(c/2 + (d*x)/2) + 339768*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^
6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^
2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^16*b^25*cos(c/2 + (d*x)/2) - 335907*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d
^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4
*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^18*b^23*cos(c/2 + (d*x)/2) + 258258
*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^1
4*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d,
k)*a^20*b^21*cos(c/2 + (d*x)/2) - 153153*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*
a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*
a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^22*b^19*cos(c/2 + (d*x)/2) + 68796*root(7290*a^10*b^4*d^6 - 7290*
a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 364
5*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^24*b^17*cos(c/2 + (d*x)/2)
- 22659*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 +
729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)*a^26*b^15*cos(c/2 + (d*x)/2) + 5166*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4
- 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^28*b^13*cos(c/2 + (d*x)/2) - 729*root(7290*a^10*b^4*d^6 - 7
290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 +
3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^30*b^11*cos(c/2 + (d*x
)/2) + 48*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)*a^32*b^9*cos(c/2 + (d*x)/2)))/cos(c/2 + (d*x)/2))*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645
*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 36
45*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k), k, 1, 6))/(a^4*d*cos(c/2 + (d*x)/2)^6 + b^4*d
*cos(c/2 + (d*x)/2)^6 - a^4*d*sin(c/2 + (d*x)/2)^6 - b^4*d*sin(c/2 + (d*x)/2)^6 - 2*a^2*b^2*d*cos(c/2 + (d*x)/
2)^6 + 2*a^2*b^2*d*sin(c/2 + (d*x)/2)^6 + 3*a^4*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 - 3*a^4*d*cos(c/2
+ (d*x)/2)^4*sin(c/2 + (d*x)/2)^2 + 3*b^4*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 - 3*b^4*d*cos(c/2 + (d*x
)/2)^4*sin(c/2 + (d*x)/2)^2 - 6*a^2*b^2*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 + 6*a^2*b^2*d*cos(c/2 + (d
*x)/2)^4*sin(c/2 + (d*x)/2)^2) - (b^4*sin(c/2 + (d*x)/2)^6*symsum(log(-(8192*(6*a^2*b^38*cos(c/2 + (d*x)/2) -
20*a*b^39*sin(c/2 + (d*x)/2) - 84*a^4*b^36*cos(c/2 + (d*x)/2) + 546*a^6*b^34*cos(c/2 + (d*x)/2) - 2184*a^8*b^3
2*cos(c/2 + (d*x)/2) + 6006*a^10*b^30*cos(c/2 + (d*x)/2) - 12012*a^12*b^28*cos(c/2 + (d*x)/2) + 18018*a^14*b^2
6*cos(c/2 + (d*x)/2) - 20592*a^16*b^24*cos(c/2 + (d*x)/2) + 18018*a^18*b^22*cos(c/2 + (d*x)/2) - 12012*a^20*b^
20*cos(c/2 + (d*x)/2) + 6006*a^22*b^18*cos(c/2 + (d*x)/2) - 2184*a^24*b^16*cos(c/2 + (d*x)/2) + 546*a^26*b^14*
cos(c/2 + (d*x)/2) - 84*a^28*b^12*cos(c/2 + (d*x)/2) + 6*a^30*b^10*cos(c/2 + (d*x)/2) + 280*a^3*b^37*sin(c/2 +
(d*x)/2) - 1820*a^5*b^35*sin(c/2 + (d*x)/2) + 7280*a^7*b^33*sin(c/2 + (d*x)/2) - 20020*a^9*b^31*sin(c/2 + (d*
x)/2) + 40040*a^11*b^29*sin(c/2 + (d*x)/2) - 60060*a^13*b^27*sin(c/2 + (d*x)/2) + 68640*a^15*b^25*sin(c/2 + (d
*x)/2) - 60060*a^17*b^23*sin(c/2 + (d*x)/2) + 40040*a^19*b^21*sin(c/2 + (d*x)/2) - 20020*a^21*b^19*sin(c/2 + (
d*x)/2) + 7280*a^23*b^17*sin(c/2 + (d*x)/2) - 1820*a^25*b^15*sin(c/2 + (d*x)/2) + 280*a^27*b^13*sin(c/2 + (d*x
)/2) - 20*a^29*b^11*sin(c/2 + (d*x)/2) - 588*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3
645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^3*b^38*sin(c/2 + (d*x)/2) + 5715*root(7290*a^10*b^4*d^6 - 729
0*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3
645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^5*b^36*sin(c/2 + (d*x)/2
) - 31710*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)*a^7*b^34*sin(c/2 + (d*x)/2) + 116025*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6
+ 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^
4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^9*b^32*sin(c/2 + (d*x)/2) - 301392*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d
^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^11*b^30*sin(c/2 +
(d*x)/2) + 579579*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b
^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b
^8*d^2 + b^8, d, k)*a^13*b^28*sin(c/2 + (d*x)/2) - 845130*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^1
2*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a
^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^15*b^26*sin(c/2 + (d*x)/2) + 945945*root(7290*a^
10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393
*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^17*b^24*
sin(c/2 + (d*x)/2) - 815100*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)*a^19*b^22*sin(c/2 + (d*x)/2) + 537537*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^
4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^21*b^20*sin(c/2 + (d*x)/2) - 266994*ro
ot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d
^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*
a^23*b^18*sin(c/2 + (d*x)/2) + 96915*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*
b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*
b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^25*b^16*sin(c/2 + (d*x)/2) - 24360*root(7290*a^10*b^4*d^6 - 7290*a^8*
b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^
8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^27*b^14*sin(c/2 + (d*x)/2) + 3
825*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*
a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8,
d, k)*a^29*b^12*sin(c/2 + (d*x)/2) - 294*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*
a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*
a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^31*b^10*sin(c/2 + (d*x)/2) + 3*root(7290*a^10*b^4*d^6 - 7290*a^8*
b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^
8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^33*b^8*sin(c/2 + (d*x)/2) + 36
*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^1
4*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d,
k)^2*a^2*b^40*cos(c/2 + (d*x)/2) - 1143*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a
^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a
^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^4*b^38*cos(c/2 + (d*x)/2) + 11853*root(7290*a^10*b^4*d^6 - 7290*
a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 364
5*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^6*b^36*cos(c/2 + (d*x)/2
) - 66087*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^2*a^8*b^34*cos(c/2 + (d*x)/2) + 235053*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d
^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*
d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^10*b^32*cos(c/2 + (d*x)/2) - 577395*root(7290*a^10*b^
4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*
b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^12*b^30*cos
(c/2 + (d*x)/2) + 1018017*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 7
29*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 1
35*a^2*b^8*d^2 + b^8, d, k)^2*a^14*b^28*cos(c/2 + (d*x)/2) - 1303731*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d
^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^16*b^26*cos(c/2 + (d*x)/2) + 119304
9*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^
14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d,
k)^2*a^18*b^24*cos(c/2 + (d*x)/2) - 724581*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 36
45*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 1
35*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^20*b^22*cos(c/2 + (d*x)/2) + 207207*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^22*b^20*cos(c/2 +
(d*x)/2) + 85995*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^
10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^
8*d^2 + b^8, d, k)^2*a^24*b^18*cos(c/2 + (d*x)/2) - 133497*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^
12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*
a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^26*b^16*cos(c/2 + (d*x)/2) + 75663*root(7290*
a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 123
93*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^28*b
^14*cos(c/2 + (d*x)/2) - 24597*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^
6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^
2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^30*b^12*cos(c/2 + (d*x)/2) + 4527*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d
^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4
*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^32*b^10*cos(c/2 + (d*x)/2) - 369*
root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14
*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k
)^2*a^34*b^8*cos(c/2 + (d*x)/2) - 3078*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^
6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^
4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^4*b^39*cos(c/2 + (d*x)/2) + 33453*root(7290*a^10*b^4*d^6 - 7290*a
^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645
*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^6*b^37*cos(c/2 + (d*x)/2)
- 147744*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^3*a^8*b^35*cos(c/2 + (d*x)/2) + 279531*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d
^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*
d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^10*b^33*cos(c/2 + (d*x)/2) + 191646*root(7290*a^10*b^
4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*
b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^12*b^31*cos
(c/2 + (d*x)/2) - 2542995*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 7
29*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 1
35*a^2*b^8*d^2 + b^8, d, k)^3*a^14*b^29*cos(c/2 + (d*x)/2) + 7459452*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d
^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^16*b^27*cos(c/2 + (d*x)/2) - 131930
37*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a
^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d
, k)^3*a^18*b^25*cos(c/2 + (d*x)/2) + 16054038*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4
- 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^20*b^23*cos(c/2 + (d*x)/2) - 13888017*root(7290*a^10*b^4*
d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^
6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^22*b^21*cos(c
/2 + (d*x)/2) + 8432424*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729
*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135
*a^2*b^8*d^2 + b^8, d, k)^3*a^24*b^19*cos(c/2 + (d*x)/2) - 3339063*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 -
3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4
+ 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^26*b^17*cos(c/2 + (d*x)/2) + 633906*r
oot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*
d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)
^3*a^28*b^15*cos(c/2 + (d*x)/2) + 109431*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*
a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*
a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^30*b^13*cos(c/2 + (d*x)/2) - 104004*root(7290*a^10*b^4*d^6 - 72
90*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 +
3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^32*b^11*cos(c/2 + (d*
x)/2) + 26649*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*
d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d
^2 + b^8, d, k)^3*a^34*b^9*cos(c/2 + (d*x)/2) - 2592*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2
*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^
8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^36*b^7*cos(c/2 + (d*x)/2) + 891*root(7290*a^10*b^4*
d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^
6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^4*b^40*cos(c/
2 + (d*x)/2) - 12879*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^
4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^
2*b^8*d^2 + b^8, d, k)^4*a^6*b^38*cos(c/2 + (d*x)/2) + 84807*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*
a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 364
5*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^8*b^36*cos(c/2 + (d*x)/2) - 332424*root(729
0*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 1
2393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^10
*b^34*cos(c/2 + (d*x)/2) + 840780*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8
*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6
*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^12*b^32*cos(c/2 + (d*x)/2) - 1340388*root(7290*a^10*b^4*d^6 - 7290*a^8
*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a
^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^14*b^30*cos(c/2 + (d*x)/2)
+ 972972*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 +
729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^4*a^16*b^28*cos(c/2 + (d*x)/2) + 1187784*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*
d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8
*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^18*b^26*cos(c/2 + (d*x)/2) - 4934358*root(7290*a^10*
b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^
6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^20*b^24*c
os(c/2 + (d*x)/2) + 8455590*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)^4*a^22*b^22*cos(c/2 + (d*x)/2) - 9660222*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d
^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4
*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^24*b^20*cos(c/2 + (d*x)/2) + 8061
768*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*
a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8,
d, k)^4*a^26*b^18*cos(c/2 + (d*x)/2) - 5041764*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4
- 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^28*b^16*cos(c/2 + (d*x)/2) + 2360988*root(7290*a^10*b^4*d
^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6
*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^30*b^14*cos(c/
2 + (d*x)/2) - 811620*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a
^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a
^2*b^8*d^2 + b^8, d, k)^4*a^32*b^12*cos(c/2 + (d*x)/2) + 196344*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 36
45*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^34*b^10*cos(c/2 + (d*x)/2) - 30861*root(
7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a
^36*b^8*cos(c/2 + (d*x)/2) + 2673*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8
*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6
*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^38*b^6*cos(c/2 + (d*x)/2) - 81*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d
^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4
*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^40*b^4*cos(c/2 + (d*x)/2) + 972*r
oot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*
d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)
^5*a^4*b^41*cos(c/2 + (d*x)/2) - 18225*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^
6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^
4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^6*b^39*cos(c/2 + (d*x)/2) + 161838*root(7290*a^10*b^4*d^6 - 7290*
a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 364
5*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^8*b^37*cos(c/2 + (d*x)/2
) - 904689*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2
+ b^8, d, k)^5*a^10*b^35*cos(c/2 + (d*x)/2) + 3569184*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^
2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b
^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^12*b^33*cos(c/2 + (d*x)/2) - 10558836*root(7290*a^
10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393
*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^14*b^3
1*cos(c/2 + (d*x)/2) + 24290280*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d
^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d
^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^16*b^29*cos(c/2 + (d*x)/2) - 44466084*root(7290*a^10*b^4*d^6 - 7290*a^8*
b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^
8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^18*b^27*cos(c/2 + (d*x)/2) +
65732472*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^5*a^20*b^25*cos(c/2 + (d*x)/2) - 79158222*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^
2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b
^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^22*b^23*cos(c/2 + (d*x)/2) + 77976756*root(7290*a^
10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393
*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^24*b^2
1*cos(c/2 + (d*x)/2) - 62832510*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d
^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d
^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^26*b^19*cos(c/2 + (d*x)/2) + 41243904*root(7290*a^10*b^4*d^6 - 7290*a^8*
b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^
8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^28*b^17*cos(c/2 + (d*x)/2) -
21861252*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^5*a^30*b^15*cos(c/2 + (d*x)/2) + 9220392*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2
*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^
8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^32*b^13*cos(c/2 + (d*x)/2) - 3023892*root(7290*a^10
*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a
^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^34*b^11*
cos(c/2 + (d*x)/2) + 743580*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)^5*a^36*b^9*cos(c/2 + (d*x)/2) - 129033*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d
^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^38*b^7*cos(c/2 + (d*x)/2) + 14094*r
oot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*
d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)
^5*a^40*b^5*cos(c/2 + (d*x)/2) - 729*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*
b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*
b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^42*b^3*cos(c/2 + (d*x)/2) - 936*root(7290*a^10*b^4*d^6 - 7290*a^8*b
^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8
*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^3*b^39*sin(c/2 + (d*x)/2) + 1
3032*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729
*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8,
d, k)^2*a^5*b^37*sin(c/2 + (d*x)/2) - 84132*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3
645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^7*b^35*sin(c/2 + (d*x)/2) + 333648*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^9*b^33*sin(c/2 + (
d*x)/2) - 907452*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^
10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^
8*d^2 + b^8, d, k)^2*a^11*b^31*sin(c/2 + (d*x)/2) + 1788696*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a
^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645
*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^13*b^29*sin(c/2 + (d*x)/2) - 2630628*root(72
90*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^1
5*b^27*sin(c/2 + (d*x)/2) + 2924064*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b
^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b
^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^17*b^25*sin(c/2 + (d*x)/2) - 2455596*root(7290*a^10*b^4*d^6 - 7290*a
^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645
*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^19*b^23*sin(c/2 + (d*x)/2
) + 1534104*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^
6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2
+ b^8, d, k)^2*a^21*b^21*sin(c/2 + (d*x)/2) - 684684*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^
2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b
^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^23*b^19*sin(c/2 + (d*x)/2) + 196560*root(7290*a^10
*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a
^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^25*b^17*
sin(c/2 + (d*x)/2) - 22932*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)^2*a^27*b^15*sin(c/2 + (d*x)/2) - 6552*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 -
3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4
+ 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^29*b^13*sin(c/2 + (d*x)/2) + 3348*roo
t(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^
6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2
*a^31*b^11*sin(c/2 + (d*x)/2) - 576*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b
^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b
^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^33*b^9*sin(c/2 + (d*x)/2) + 36*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6
*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b
^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^35*b^7*sin(c/2 + (d*x)/2) + 108
0*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^
14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d,
k)^3*a^3*b^40*sin(c/2 + (d*x)/2) - 6048*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*
a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*
a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^5*b^38*sin(c/2 + (d*x)/2) - 23625*root(7290*a^10*b^4*d^6 - 7290
*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 36
45*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^7*b^36*sin(c/2 + (d*x)/
2) + 361044*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^
6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2
+ b^8, d, k)^3*a^9*b^34*sin(c/2 + (d*x)/2) - 1757511*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^
2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b
^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^11*b^32*sin(c/2 + (d*x)/2) + 5066334*root(7290*a^1
0*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*
a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^13*b^30
*sin(c/2 + (d*x)/2) - 9830457*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6
- 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2
+ 135*a^2*b^8*d^2 + b^8, d, k)^3*a^15*b^28*sin(c/2 + (d*x)/2) + 13374504*root(7290*a^10*b^4*d^6 - 7290*a^8*b^
6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*
b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^17*b^26*sin(c/2 + (d*x)/2) - 1
2675663*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 +
729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b
^8, d, k)^3*a^19*b^24*sin(c/2 + (d*x)/2) + 7729722*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d
^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*
d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^21*b^22*sin(c/2 + (d*x)/2) - 1942083*root(7290*a^10*b
^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6
*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^23*b^20*si
n(c/2 + (d*x)/2) - 1366092*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)^3*a^25*b^18*sin(c/2 + (d*x)/2) + 1796067*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^
6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*
d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^27*b^16*sin(c/2 + (d*x)/2) - 99300
6*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^
14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d,
k)^3*a^29*b^14*sin(c/2 + (d*x)/2) + 318789*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 36
45*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 1
35*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^31*b^12*sin(c/2 + (d*x)/2) - 57456*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^33*b^10*sin(c/2 + (
d*x)/2) + 4347*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10
*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*
d^2 + b^8, d, k)^3*a^35*b^8*sin(c/2 + (d*x)/2) + 54*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*
d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8
*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^37*b^6*sin(c/2 + (d*x)/2) + 648*root(7290*a^10*b^4*d
^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6
*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^3*b^41*sin(c/2
+ (d*x)/2) - 7776*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*
b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*
b^8*d^2 + b^8, d, k)^4*a^5*b^39*sin(c/2 + (d*x)/2) + 35964*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^
12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*
a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^7*b^37*sin(c/2 + (d*x)/2) - 46656*root(7290*a
^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 1239
3*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^9*b^3
5*sin(c/2 + (d*x)/2) - 311040*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6
- 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2
+ 135*a^2*b^8*d^2 + b^8, d, k)^4*a^11*b^33*sin(c/2 + (d*x)/2) + 2068416*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6
*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b
^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^13*b^31*sin(c/2 + (d*x)/2) - 67
22352*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 72
9*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8
, d, k)^4*a^15*b^29*sin(c/2 + (d*x)/2) + 14758848*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^
6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d
^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^17*b^27*sin(c/2 + (d*x)/2) - 23907312*root(7290*a^10*b
^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6
*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^19*b^25*si
n(c/2 + (d*x)/2) + 29652480*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)^4*a^21*b^23*sin(c/2 + (d*x)/2) - 28633176*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*
d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^
4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^23*b^21*sin(c/2 + (d*x)/2) + 216
32832*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 72
9*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8
, d, k)^4*a^25*b^19*sin(c/2 + (d*x)/2) - 12737088*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^
6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d
^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^27*b^17*sin(c/2 + (d*x)/2) + 5769792*root(7290*a^10*b^
4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*
b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^29*b^15*sin
(c/2 + (d*x)/2) - 1963440*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 7
29*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 1
35*a^2*b^8*d^2 + b^8, d, k)^4*a^31*b^13*sin(c/2 + (d*x)/2) + 482112*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^
4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^33*b^11*sin(c/2 + (d*x)/2) - 79704*r
oot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*
d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)
^4*a^35*b^9*sin(c/2 + (d*x)/2) + 7776*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6
*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4
*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^37*b^7*sin(c/2 + (d*x)/2) - 324*root(7290*a^10*b^4*d^6 - 7290*a^8*
b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^
8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^39*b^5*sin(c/2 + (d*x)/2) +
243*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*
a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8,
d, k)^5*a^5*b^40*sin(c/2 + (d*x)/2) - 4374*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 364
5*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 13
5*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^7*b^38*sin(c/2 + (d*x)/2) + 37179*root(7290*a^10*b^4*d^6 - 72
90*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 +
3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^9*b^36*sin(c/2 + (d*x
)/2) - 198288*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*
d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d
^2 + b^8, d, k)^5*a^11*b^34*sin(c/2 + (d*x)/2) + 743580*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*
b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4
*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^13*b^32*sin(c/2 + (d*x)/2) - 2082024*root(7290*a
^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 1239
3*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^15*b^
30*sin(c/2 + (d*x)/2) + 4511052*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d
^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d
^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^17*b^28*sin(c/2 + (d*x)/2) - 7733232*root(7290*a^10*b^4*d^6 - 7290*a^8*b
^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8
*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^19*b^26*sin(c/2 + (d*x)/2) +
10633194*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 +
729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^5*a^21*b^24*sin(c/2 + (d*x)/2) - 11814660*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2
*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^
8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^23*b^22*sin(c/2 + (d*x)/2) + 10633194*root(7290*a^1
0*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*
a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^25*b^20
*sin(c/2 + (d*x)/2) - 7733232*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6
- 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2
+ 135*a^2*b^8*d^2 + b^8, d, k)^5*a^27*b^18*sin(c/2 + (d*x)/2) + 4511052*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6
*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b
^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^29*b^16*sin(c/2 + (d*x)/2) - 20
82024*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 72
9*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8
, d, k)^5*a^31*b^14*sin(c/2 + (d*x)/2) + 743580*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6
+ 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4
- 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^33*b^12*sin(c/2 + (d*x)/2) - 198288*root(7290*a^10*b^4*d
^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6
*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^35*b^10*sin(c/
2 + (d*x)/2) + 37179*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^
4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^
2*b^8*d^2 + b^8, d, k)^5*a^37*b^8*sin(c/2 + (d*x)/2) - 4374*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a
^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645
*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^39*b^6*sin(c/2 + (d*x)/2) + 243*root(7290*a^
10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393
*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^41*b^4
*sin(c/2 + (d*x)/2) + 24*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 72
9*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 13
5*a^2*b^8*d^2 + b^8, d, k)*a*b^40*sin(c/2 + (d*x)/2) - 57*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^1
2*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a
^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^2*b^39*cos(c/2 + (d*x)/2) + 846*root(7290*a^10*b
^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6
*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^4*b^37*cos(c
/2 + (d*x)/2) - 5859*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^
4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^
2*b^8*d^2 + b^8, d, k)*a^6*b^35*cos(c/2 + (d*x)/2) + 25116*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^
12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*
a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^8*b^33*cos(c/2 + (d*x)/2) - 74529*root(7290*a^1
0*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*
a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^10*b^31*c
os(c/2 + (d*x)/2) + 162162*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)*a^12*b^29*cos(c/2 + (d*x)/2) - 267267*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 -
3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4
+ 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^14*b^27*cos(c/2 + (d*x)/2) + 339768*roo
t(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^
6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a
^16*b^25*cos(c/2 + (d*x)/2) - 335907*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*
b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*
b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^18*b^23*cos(c/2 + (d*x)/2) + 258258*root(7290*a^10*b^4*d^6 - 7290*a^8
*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a
^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^20*b^21*cos(c/2 + (d*x)/2) -
153153*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 7
29*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^
8, d, k)*a^22*b^19*cos(c/2 + (d*x)/2) + 68796*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^24*b^17*cos(c/2 + (d*x)/2) - 22659*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^26*b^15*cos(c/2 + (d*
x)/2) + 5166*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d
^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^
2 + b^8, d, k)*a^28*b^13*cos(c/2 + (d*x)/2) - 729*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^
6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d
^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^30*b^11*cos(c/2 + (d*x)/2) + 48*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^32*b^9*cos(c/2 + (d*
x)/2)))/cos(c/2 + (d*x)/2))*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k), k, 1, 6))/(a^4*d*cos(c/2 + (d*x)/2)^6 + b^4*d*cos(c/2 + (d*x)/2)^6 - a^4*d*sin(
c/2 + (d*x)/2)^6 - b^4*d*sin(c/2 + (d*x)/2)^6 - 2*a^2*b^2*d*cos(c/2 + (d*x)/2)^6 + 2*a^2*b^2*d*sin(c/2 + (d*x)
/2)^6 + 3*a^4*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 - 3*a^4*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2
+ 3*b^4*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 - 3*b^4*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2 - 6*a^
2*b^2*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 + 6*a^2*b^2*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2) + (
3*a^4*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4*symsum(log(-(8192*(6*a^2*b^38*cos(c/2 + (d*x)/2) - 20*a*b^39*s
in(c/2 + (d*x)/2) - 84*a^4*b^36*cos(c/2 + (d*x)/2) + 546*a^6*b^34*cos(c/2 + (d*x)/2) - 2184*a^8*b^32*cos(c/2 +
(d*x)/2) + 6006*a^10*b^30*cos(c/2 + (d*x)/2) - 12012*a^12*b^28*cos(c/2 + (d*x)/2) + 18018*a^14*b^26*cos(c/2 +
(d*x)/2) - 20592*a^16*b^24*cos(c/2 + (d*x)/2) + 18018*a^18*b^22*cos(c/2 + (d*x)/2) - 12012*a^20*b^20*cos(c/2
+ (d*x)/2) + 6006*a^22*b^18*cos(c/2 + (d*x)/2) - 2184*a^24*b^16*cos(c/2 + (d*x)/2) + 546*a^26*b^14*cos(c/2 + (
d*x)/2) - 84*a^28*b^12*cos(c/2 + (d*x)/2) + 6*a^30*b^10*cos(c/2 + (d*x)/2) + 280*a^3*b^37*sin(c/2 + (d*x)/2) -
1820*a^5*b^35*sin(c/2 + (d*x)/2) + 7280*a^7*b^33*sin(c/2 + (d*x)/2) - 20020*a^9*b^31*sin(c/2 + (d*x)/2) + 400
40*a^11*b^29*sin(c/2 + (d*x)/2) - 60060*a^13*b^27*sin(c/2 + (d*x)/2) + 68640*a^15*b^25*sin(c/2 + (d*x)/2) - 60
060*a^17*b^23*sin(c/2 + (d*x)/2) + 40040*a^19*b^21*sin(c/2 + (d*x)/2) - 20020*a^21*b^19*sin(c/2 + (d*x)/2) + 7
280*a^23*b^17*sin(c/2 + (d*x)/2) - 1820*a^25*b^15*sin(c/2 + (d*x)/2) + 280*a^27*b^13*sin(c/2 + (d*x)/2) - 20*a
^29*b^11*sin(c/2 + (d*x)/2) - 588*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8
*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6
*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^3*b^38*sin(c/2 + (d*x)/2) + 5715*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d
^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4
*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^5*b^36*sin(c/2 + (d*x)/2) - 31710*r
oot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*
d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)
*a^7*b^34*sin(c/2 + (d*x)/2) + 116025*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6
*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4
*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^9*b^32*sin(c/2 + (d*x)/2) - 301392*root(7290*a^10*b^4*d^6 - 7290*a^8
*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a
^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^11*b^30*sin(c/2 + (d*x)/2) +
579579*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 7
29*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^
8, d, k)*a^13*b^28*sin(c/2 + (d*x)/2) - 845130*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4
- 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^15*b^26*sin(c/2 + (d*x)/2) + 945945*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^
4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^17*b^24*sin(c/2 + (
d*x)/2) - 815100*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^
10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^
8*d^2 + b^8, d, k)*a^19*b^22*sin(c/2 + (d*x)/2) + 537537*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12
*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^
4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^21*b^20*sin(c/2 + (d*x)/2) - 266994*root(7290*a^1
0*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*
a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^23*b^18*s
in(c/2 + (d*x)/2) + 96915*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 7
29*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 1
35*a^2*b^8*d^2 + b^8, d, k)*a^25*b^16*sin(c/2 + (d*x)/2) - 24360*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3
645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^27*b^14*sin(c/2 + (d*x)/2) + 3825*root(72
90*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^29*
b^12*sin(c/2 + (d*x)/2) - 294*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6
- 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2
+ 135*a^2*b^8*d^2 + b^8, d, k)*a^31*b^10*sin(c/2 + (d*x)/2) + 3*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3
645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^33*b^8*sin(c/2 + (d*x)/2) + 36*root(7290*
a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 123
93*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^2*b^
40*cos(c/2 + (d*x)/2) - 1143*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6
- 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2
+ 135*a^2*b^8*d^2 + b^8, d, k)^2*a^4*b^38*cos(c/2 + (d*x)/2) + 11853*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d
^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^6*b^36*cos(c/2 + (d*x)/2) - 66087*r
oot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*
d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)
^2*a^8*b^34*cos(c/2 + (d*x)/2) + 235053*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a
^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a
^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^10*b^32*cos(c/2 + (d*x)/2) - 577395*root(7290*a^10*b^4*d^6 - 729
0*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3
645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^12*b^30*cos(c/2 + (d*x
)/2) + 1018017*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10
*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*
d^2 + b^8, d, k)^2*a^14*b^28*cos(c/2 + (d*x)/2) - 1303731*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^1
2*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a
^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^16*b^26*cos(c/2 + (d*x)/2) + 1193049*root(7290
*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12
393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^18*
b^24*cos(c/2 + (d*x)/2) - 724581*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*
d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*
d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^20*b^22*cos(c/2 + (d*x)/2) + 207207*root(7290*a^10*b^4*d^6 - 7290*a^8*b
^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8
*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^22*b^20*cos(c/2 + (d*x)/2) +
85995*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 72
9*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8
, d, k)^2*a^24*b^18*cos(c/2 + (d*x)/2) - 133497*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6
+ 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4
- 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^26*b^16*cos(c/2 + (d*x)/2) + 75663*root(7290*a^10*b^4*d^
6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*
d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^28*b^14*cos(c/2
+ (d*x)/2) - 24597*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4
*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2
*b^8*d^2 + b^8, d, k)^2*a^30*b^12*cos(c/2 + (d*x)/2) + 4527*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a
^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645
*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^32*b^10*cos(c/2 + (d*x)/2) - 369*root(7290*a
^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 1239
3*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^34*b^
8*cos(c/2 + (d*x)/2) - 3078*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)^3*a^4*b^39*cos(c/2 + (d*x)/2) + 33453*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^
4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^6*b^37*cos(c/2 + (d*x)/2) - 147744*r
oot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*
d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)
^3*a^8*b^35*cos(c/2 + (d*x)/2) + 279531*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a
^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a
^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^10*b^33*cos(c/2 + (d*x)/2) + 191646*root(7290*a^10*b^4*d^6 - 729
0*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3
645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^12*b^31*cos(c/2 + (d*x
)/2) - 2542995*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10
*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*
d^2 + b^8, d, k)^3*a^14*b^29*cos(c/2 + (d*x)/2) + 7459452*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^1
2*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a
^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^16*b^27*cos(c/2 + (d*x)/2) - 13193037*root(729
0*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 1
2393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^18
*b^25*cos(c/2 + (d*x)/2) + 16054038*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b
^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b
^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^20*b^23*cos(c/2 + (d*x)/2) - 13888017*root(7290*a^10*b^4*d^6 - 7290*
a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 364
5*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^22*b^21*cos(c/2 + (d*x)/
2) + 8432424*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d
^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^
2 + b^8, d, k)^3*a^24*b^19*cos(c/2 + (d*x)/2) - 3339063*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*
b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4
*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^26*b^17*cos(c/2 + (d*x)/2) + 633906*root(7290*a^
10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393
*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^28*b^1
5*cos(c/2 + (d*x)/2) + 109431*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6
- 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2
+ 135*a^2*b^8*d^2 + b^8, d, k)^3*a^30*b^13*cos(c/2 + (d*x)/2) - 104004*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*
d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^
4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^32*b^11*cos(c/2 + (d*x)/2) + 266
49*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a
^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d
, k)^3*a^34*b^9*cos(c/2 + (d*x)/2) - 2592*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645
*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135
*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^36*b^7*cos(c/2 + (d*x)/2) + 891*root(7290*a^10*b^4*d^6 - 7290*
a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 364
5*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^4*b^40*cos(c/2 + (d*x)/2
) - 12879*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^4*a^6*b^38*cos(c/2 + (d*x)/2) + 84807*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^
6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d
^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^8*b^36*cos(c/2 + (d*x)/2) - 332424*root(7290*a^10*b^4*
d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^
6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^10*b^34*cos(c
/2 + (d*x)/2) + 840780*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*
a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*
a^2*b^8*d^2 + b^8, d, k)^4*a^12*b^32*cos(c/2 + (d*x)/2) - 1340388*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 -
3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4
+ 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^14*b^30*cos(c/2 + (d*x)/2) + 972972*ro
ot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d
^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^
4*a^16*b^28*cos(c/2 + (d*x)/2) + 1187784*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*
a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*
a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^18*b^26*cos(c/2 + (d*x)/2) - 4934358*root(7290*a^10*b^4*d^6 - 7
290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 +
3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^20*b^24*cos(c/2 + (d
*x)/2) + 8455590*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^
10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^
8*d^2 + b^8, d, k)^4*a^22*b^22*cos(c/2 + (d*x)/2) - 9660222*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a
^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645
*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^24*b^20*cos(c/2 + (d*x)/2) + 8061768*root(72
90*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^2
6*b^18*cos(c/2 + (d*x)/2) - 5041764*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b
^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b
^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^28*b^16*cos(c/2 + (d*x)/2) + 2360988*root(7290*a^10*b^4*d^6 - 7290*a
^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645
*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^30*b^14*cos(c/2 + (d*x)/2
) - 811620*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2
+ b^8, d, k)^4*a^32*b^12*cos(c/2 + (d*x)/2) + 196344*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2
*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^
8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^34*b^10*cos(c/2 + (d*x)/2) - 30861*root(7290*a^10*b
^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6
*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^36*b^8*cos
(c/2 + (d*x)/2) + 2673*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*
a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*
a^2*b^8*d^2 + b^8, d, k)^4*a^38*b^6*cos(c/2 + (d*x)/2) - 81*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a
^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645
*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^40*b^4*cos(c/2 + (d*x)/2) + 972*root(7290*a^
10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393
*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^4*b^41
*cos(c/2 + (d*x)/2) - 18225*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)^5*a^6*b^39*cos(c/2 + (d*x)/2) + 161838*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d
^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^8*b^37*cos(c/2 + (d*x)/2) - 904689*
root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14
*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k
)^5*a^10*b^35*cos(c/2 + (d*x)/2) + 3569184*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 364
5*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 13
5*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^12*b^33*cos(c/2 + (d*x)/2) - 10558836*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^
4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^14*b^31*cos(c/2 +
(d*x)/2) + 24290280*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^
4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^
2*b^8*d^2 + b^8, d, k)^5*a^16*b^29*cos(c/2 + (d*x)/2) - 44466084*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3
645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^18*b^27*cos(c/2 + (d*x)/2) + 65732472*r
oot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*
d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)
^5*a^20*b^25*cos(c/2 + (d*x)/2) - 79158222*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 364
5*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 13
5*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^22*b^23*cos(c/2 + (d*x)/2) + 77976756*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^
4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^24*b^21*cos(c/2 +
(d*x)/2) - 62832510*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^
4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^
2*b^8*d^2 + b^8, d, k)^5*a^26*b^19*cos(c/2 + (d*x)/2) + 41243904*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3
645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^28*b^17*cos(c/2 + (d*x)/2) - 21861252*r
oot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*
d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)
^5*a^30*b^15*cos(c/2 + (d*x)/2) + 9220392*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645
*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135
*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^32*b^13*cos(c/2 + (d*x)/2) - 3023892*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^34*b^11*cos(c/2 + (
d*x)/2) + 743580*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^
10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^
8*d^2 + b^8, d, k)^5*a^36*b^9*cos(c/2 + (d*x)/2) - 129033*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^1
2*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a
^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^38*b^7*cos(c/2 + (d*x)/2) + 14094*root(7290*a^
10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393
*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^40*b^5
*cos(c/2 + (d*x)/2) - 729*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 7
29*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 1
35*a^2*b^8*d^2 + b^8, d, k)^5*a^42*b^3*cos(c/2 + (d*x)/2) - 936*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 36
45*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^3*b^39*sin(c/2 + (d*x)/2) + 13032*root(7
290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^
5*b^37*sin(c/2 + (d*x)/2) - 84132*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8
*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6
*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^7*b^35*sin(c/2 + (d*x)/2) + 333648*root(7290*a^10*b^4*d^6 - 7290*a^8*b
^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8
*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^9*b^33*sin(c/2 + (d*x)/2) - 9
07452*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 72
9*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8
, d, k)^2*a^11*b^31*sin(c/2 + (d*x)/2) + 1788696*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6
+ 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^
4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^13*b^29*sin(c/2 + (d*x)/2) - 2630628*root(7290*a^10*b^4
*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b
^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^15*b^27*sin(
c/2 + (d*x)/2) + 2924064*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 72
9*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 13
5*a^2*b^8*d^2 + b^8, d, k)^2*a^17*b^25*sin(c/2 + (d*x)/2) - 2455596*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^
4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^19*b^23*sin(c/2 + (d*x)/2) + 1534104
*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^1
4*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d,
k)^2*a^21*b^21*sin(c/2 + (d*x)/2) - 684684*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 364
5*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 13
5*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^23*b^19*sin(c/2 + (d*x)/2) + 196560*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^25*b^17*sin(c/2 + (
d*x)/2) - 22932*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^1
0*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8
*d^2 + b^8, d, k)^2*a^27*b^15*sin(c/2 + (d*x)/2) - 6552*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*
b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4
*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^29*b^13*sin(c/2 + (d*x)/2) + 3348*root(7290*a^10
*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a
^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^31*b^11*
sin(c/2 + (d*x)/2) - 576*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 72
9*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 13
5*a^2*b^8*d^2 + b^8, d, k)^2*a^33*b^9*sin(c/2 + (d*x)/2) + 36*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645
*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 36
45*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^35*b^7*sin(c/2 + (d*x)/2) + 1080*root(7290
*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12
393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^3*b
^40*sin(c/2 + (d*x)/2) - 6048*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6
- 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2
+ 135*a^2*b^8*d^2 + b^8, d, k)^3*a^5*b^38*sin(c/2 + (d*x)/2) - 23625*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^
6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*
d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^7*b^36*sin(c/2 + (d*x)/2) + 361044
*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^1
4*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d,
k)^3*a^9*b^34*sin(c/2 + (d*x)/2) - 1757511*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 364
5*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 13
5*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^11*b^32*sin(c/2 + (d*x)/2) + 5066334*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^13*b^30*sin(c/2 +
(d*x)/2) - 9830457*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*
b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*
b^8*d^2 + b^8, d, k)^3*a^15*b^28*sin(c/2 + (d*x)/2) + 13374504*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 364
5*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3
645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^17*b^26*sin(c/2 + (d*x)/2) - 12675663*roo
t(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^
6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3
*a^19*b^24*sin(c/2 + (d*x)/2) + 7729722*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a
^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a
^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^21*b^22*sin(c/2 + (d*x)/2) - 1942083*root(7290*a^10*b^4*d^6 - 72
90*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 +
3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^23*b^20*sin(c/2 + (d*
x)/2) - 1366092*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^1
0*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8
*d^2 + b^8, d, k)^3*a^25*b^18*sin(c/2 + (d*x)/2) + 1796067*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^
12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*
a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^27*b^16*sin(c/2 + (d*x)/2) - 993006*root(7290
*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12
393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^29*
b^14*sin(c/2 + (d*x)/2) + 318789*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*
d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*
d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^31*b^12*sin(c/2 + (d*x)/2) - 57456*root(7290*a^10*b^4*d^6 - 7290*a^8*b^
6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*
b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^33*b^10*sin(c/2 + (d*x)/2) + 4
347*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*
a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8,
d, k)^3*a^35*b^8*sin(c/2 + (d*x)/2) + 54*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*
a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*
a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^37*b^6*sin(c/2 + (d*x)/2) + 648*root(7290*a^10*b^4*d^6 - 7290*a
^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645
*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^3*b^41*sin(c/2 + (d*x)/2)
- 7776*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 +
729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b
^8, d, k)^4*a^5*b^39*sin(c/2 + (d*x)/2) + 35964*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6
+ 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4
- 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^7*b^37*sin(c/2 + (d*x)/2) - 46656*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d
^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^9*b^35*sin(c/2 +
(d*x)/2) - 311040*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*
b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*
b^8*d^2 + b^8, d, k)^4*a^11*b^33*sin(c/2 + (d*x)/2) + 2068416*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645
*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 36
45*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^13*b^31*sin(c/2 + (d*x)/2) - 6722352*root(
7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a
^15*b^29*sin(c/2 + (d*x)/2) + 14758848*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^
6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^
4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^17*b^27*sin(c/2 + (d*x)/2) - 23907312*root(7290*a^10*b^4*d^6 - 72
90*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 +
3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^19*b^25*sin(c/2 + (d*
x)/2) + 29652480*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^
10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^
8*d^2 + b^8, d, k)^4*a^21*b^23*sin(c/2 + (d*x)/2) - 28633176*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*
a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 364
5*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^23*b^21*sin(c/2 + (d*x)/2) + 21632832*root(
7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a
^25*b^19*sin(c/2 + (d*x)/2) - 12737088*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^
6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^
4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^27*b^17*sin(c/2 + (d*x)/2) + 5769792*root(7290*a^10*b^4*d^6 - 729
0*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3
645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^29*b^15*sin(c/2 + (d*x
)/2) - 1963440*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10
*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*
d^2 + b^8, d, k)^4*a^31*b^13*sin(c/2 + (d*x)/2) + 482112*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12
*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^
4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^33*b^11*sin(c/2 + (d*x)/2) - 79704*root(7290*a^
10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393
*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^35*b^9
*sin(c/2 + (d*x)/2) + 7776*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)^4*a^37*b^7*sin(c/2 + (d*x)/2) - 324*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3
645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^39*b^5*sin(c/2 + (d*x)/2) + 243*root(72
90*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^5
*b^40*sin(c/2 + (d*x)/2) - 4374*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d
^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d
^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^7*b^38*sin(c/2 + (d*x)/2) + 37179*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*
d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^
4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^9*b^36*sin(c/2 + (d*x)/2) - 1982
88*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a
^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d
, k)^5*a^11*b^34*sin(c/2 + (d*x)/2) + 743580*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3
645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^13*b^32*sin(c/2 + (d*x)/2) - 2082024*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d
^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^15*b^30*sin(c/2
+ (d*x)/2) + 4511052*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^
4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^
2*b^8*d^2 + b^8, d, k)^5*a^17*b^28*sin(c/2 + (d*x)/2) - 7733232*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 36
45*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^19*b^26*sin(c/2 + (d*x)/2) + 10633194*ro
ot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d
^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^
5*a^21*b^24*sin(c/2 + (d*x)/2) - 11814660*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645
*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135
*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^23*b^22*sin(c/2 + (d*x)/2) + 10633194*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^25*b^20*sin(c/2 +
(d*x)/2) - 7733232*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*
b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*
b^8*d^2 + b^8, d, k)^5*a^27*b^18*sin(c/2 + (d*x)/2) + 4511052*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645
*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 36
45*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^29*b^16*sin(c/2 + (d*x)/2) - 2082024*root(
7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a
^31*b^14*sin(c/2 + (d*x)/2) + 743580*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*
b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*
b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^33*b^12*sin(c/2 + (d*x)/2) - 198288*root(7290*a^10*b^4*d^6 - 7290*a
^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645
*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^35*b^10*sin(c/2 + (d*x)/2
) + 37179*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^5*a^37*b^8*sin(c/2 + (d*x)/2) - 4374*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6
+ 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^
4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^39*b^6*sin(c/2 + (d*x)/2) + 243*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^
4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^41*b^4*sin(c/2 +
(d*x)/2) + 24*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*
d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d
^2 + b^8, d, k)*a*b^40*sin(c/2 + (d*x)/2) - 57*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4
- 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^2*b^39*cos(c/2 + (d*x)/2) + 846*root(7290*a^10*b^4*d^6 - 72
90*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 +
3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^4*b^37*cos(c/2 + (d*x)/
2) - 5859*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)*a^6*b^35*cos(c/2 + (d*x)/2) + 25116*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6
+ 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4
- 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^8*b^33*cos(c/2 + (d*x)/2) - 74529*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^10*b^31*cos(c/2 + (d
*x)/2) + 162162*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^1
0*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8
*d^2 + b^8, d, k)*a^12*b^29*cos(c/2 + (d*x)/2) - 267267*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*
b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4
*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^14*b^27*cos(c/2 + (d*x)/2) + 339768*root(7290*a^10
*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a
^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^16*b^25*co
s(c/2 + (d*x)/2) - 335907*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 7
29*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 1
35*a^2*b^8*d^2 + b^8, d, k)*a^18*b^23*cos(c/2 + (d*x)/2) + 258258*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 -
3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4
+ 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^20*b^21*cos(c/2 + (d*x)/2) - 153153*root
(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^
22*b^19*cos(c/2 + (d*x)/2) + 68796*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^
8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^
6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^24*b^17*cos(c/2 + (d*x)/2) - 22659*root(7290*a^10*b^4*d^6 - 7290*a^8*b^
6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*
b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^26*b^15*cos(c/2 + (d*x)/2) + 516
6*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^
14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d,
k)*a^28*b^13*cos(c/2 + (d*x)/2) - 729*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^
6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^
4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^30*b^11*cos(c/2 + (d*x)/2) + 48*root(7290*a^10*b^4*d^6 - 7290*a^8*b
^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8
*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^32*b^9*cos(c/2 + (d*x)/2)))/cos
(c/2 + (d*x)/2))*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^
10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^
8*d^2 + b^8, d, k), k, 1, 6))/(a^4*d*cos(c/2 + (d*x)/2)^6 + b^4*d*cos(c/2 + (d*x)/2)^6 - a^4*d*sin(c/2 + (d*x)
/2)^6 - b^4*d*sin(c/2 + (d*x)/2)^6 - 2*a^2*b^2*d*cos(c/2 + (d*x)/2)^6 + 2*a^2*b^2*d*sin(c/2 + (d*x)/2)^6 + 3*a
^4*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 - 3*a^4*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2 + 3*b^4*d*c
os(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 - 3*b^4*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2 - 6*a^2*b^2*d*cos
(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 + 6*a^2*b^2*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2) - (3*a^4*cos(c
/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2*symsum(log(-(8192*(6*a^2*b^38*cos(c/2 + (d*x)/2) - 20*a*b^39*sin(c/2 + (d
*x)/2) - 84*a^4*b^36*cos(c/2 + (d*x)/2) + 546*a^6*b^34*cos(c/2 + (d*x)/2) - 2184*a^8*b^32*cos(c/2 + (d*x)/2) +
6006*a^10*b^30*cos(c/2 + (d*x)/2) - 12012*a^12*b^28*cos(c/2 + (d*x)/2) + 18018*a^14*b^26*cos(c/2 + (d*x)/2) -
20592*a^16*b^24*cos(c/2 + (d*x)/2) + 18018*a^18*b^22*cos(c/2 + (d*x)/2) - 12012*a^20*b^20*cos(c/2 + (d*x)/2)
+ 6006*a^22*b^18*cos(c/2 + (d*x)/2) - 2184*a^24*b^16*cos(c/2 + (d*x)/2) + 546*a^26*b^14*cos(c/2 + (d*x)/2) - 8
4*a^28*b^12*cos(c/2 + (d*x)/2) + 6*a^30*b^10*cos(c/2 + (d*x)/2) + 280*a^3*b^37*sin(c/2 + (d*x)/2) - 1820*a^5*b
^35*sin(c/2 + (d*x)/2) + 7280*a^7*b^33*sin(c/2 + (d*x)/2) - 20020*a^9*b^31*sin(c/2 + (d*x)/2) + 40040*a^11*b^2
9*sin(c/2 + (d*x)/2) - 60060*a^13*b^27*sin(c/2 + (d*x)/2) + 68640*a^15*b^25*sin(c/2 + (d*x)/2) - 60060*a^17*b^
23*sin(c/2 + (d*x)/2) + 40040*a^19*b^21*sin(c/2 + (d*x)/2) - 20020*a^21*b^19*sin(c/2 + (d*x)/2) + 7280*a^23*b^
17*sin(c/2 + (d*x)/2) - 1820*a^25*b^15*sin(c/2 + (d*x)/2) + 280*a^27*b^13*sin(c/2 + (d*x)/2) - 20*a^29*b^11*si
n(c/2 + (d*x)/2) - 588*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*
a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*
a^2*b^8*d^2 + b^8, d, k)*a^3*b^38*sin(c/2 + (d*x)/2) + 5715*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a
^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645
*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^5*b^36*sin(c/2 + (d*x)/2) - 31710*root(7290*a^
10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393
*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^7*b^34*s
in(c/2 + (d*x)/2) + 116025*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)*a^9*b^32*sin(c/2 + (d*x)/2) - 301392*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 -
3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4
+ 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^11*b^30*sin(c/2 + (d*x)/2) + 579579*root
(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^
13*b^28*sin(c/2 + (d*x)/2) - 845130*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b
^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b
^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^15*b^26*sin(c/2 + (d*x)/2) + 945945*root(7290*a^10*b^4*d^6 - 7290*a^8*
b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^
8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^17*b^24*sin(c/2 + (d*x)/2) - 8
15100*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 72
9*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8
, d, k)*a^19*b^22*sin(c/2 + (d*x)/2) + 537537*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^21*b^20*sin(c/2 + (d*x)/2) - 266994*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^23*b^18*sin(c/2 + (d
*x)/2) + 96915*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10
*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*
d^2 + b^8, d, k)*a^25*b^16*sin(c/2 + (d*x)/2) - 24360*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^
2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b
^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^27*b^14*sin(c/2 + (d*x)/2) + 3825*root(7290*a^10*b^4
*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b
^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^29*b^12*sin(c/
2 + (d*x)/2) - 294*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*
b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*
b^8*d^2 + b^8, d, k)*a^31*b^10*sin(c/2 + (d*x)/2) + 3*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^
2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b
^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^33*b^8*sin(c/2 + (d*x)/2) + 36*root(7290*a^10*b^4*d^
6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*
d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^2*b^40*cos(c/2
+ (d*x)/2) - 1143*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b
^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b
^8*d^2 + b^8, d, k)^2*a^4*b^38*cos(c/2 + (d*x)/2) + 11853*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^1
2*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a
^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^6*b^36*cos(c/2 + (d*x)/2) - 66087*root(7290*a^
10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393
*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^8*b^34
*cos(c/2 + (d*x)/2) + 235053*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6
- 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2
+ 135*a^2*b^8*d^2 + b^8, d, k)^2*a^10*b^32*cos(c/2 + (d*x)/2) - 577395*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d
^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4
*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^12*b^30*cos(c/2 + (d*x)/2) + 1018
017*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*
a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8,
d, k)^2*a^14*b^28*cos(c/2 + (d*x)/2) - 1303731*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4
- 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^16*b^26*cos(c/2 + (d*x)/2) + 1193049*root(7290*a^10*b^4*d
^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6
*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^18*b^24*cos(c/
2 + (d*x)/2) - 724581*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a
^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a
^2*b^8*d^2 + b^8, d, k)^2*a^20*b^22*cos(c/2 + (d*x)/2) + 207207*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 36
45*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^22*b^20*cos(c/2 + (d*x)/2) + 85995*root(
7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a
^24*b^18*cos(c/2 + (d*x)/2) - 133497*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*
b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*
b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^26*b^16*cos(c/2 + (d*x)/2) + 75663*root(7290*a^10*b^4*d^6 - 7290*a^
8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*
a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^28*b^14*cos(c/2 + (d*x)/2)
- 24597*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 +
729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^2*a^30*b^12*cos(c/2 + (d*x)/2) + 4527*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6
+ 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^
4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^32*b^10*cos(c/2 + (d*x)/2) - 369*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d
^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^34*b^8*cos(c/2 +
(d*x)/2) - 3078*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^
10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^
8*d^2 + b^8, d, k)^3*a^4*b^39*cos(c/2 + (d*x)/2) + 33453*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12
*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^
4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^6*b^37*cos(c/2 + (d*x)/2) - 147744*root(7290*a^
10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393
*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^8*b^35
*cos(c/2 + (d*x)/2) + 279531*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6
- 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2
+ 135*a^2*b^8*d^2 + b^8, d, k)^3*a^10*b^33*cos(c/2 + (d*x)/2) + 191646*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d
^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4
*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^12*b^31*cos(c/2 + (d*x)/2) - 2542
995*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*
a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8,
d, k)^3*a^14*b^29*cos(c/2 + (d*x)/2) + 7459452*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4
- 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^16*b^27*cos(c/2 + (d*x)/2) - 13193037*root(7290*a^10*b^4*
d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^
6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^18*b^25*cos(c
/2 + (d*x)/2) + 16054038*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 72
9*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 13
5*a^2*b^8*d^2 + b^8, d, k)^3*a^20*b^23*cos(c/2 + (d*x)/2) - 13888017*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d
^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^22*b^21*cos(c/2 + (d*x)/2) + 843242
4*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^
14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d,
k)^3*a^24*b^19*cos(c/2 + (d*x)/2) - 3339063*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3
645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^26*b^17*cos(c/2 + (d*x)/2) + 633906*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^
4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^28*b^15*cos(c/2 +
(d*x)/2) + 109431*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*
b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*
b^8*d^2 + b^8, d, k)^3*a^30*b^13*cos(c/2 + (d*x)/2) - 104004*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*
a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 364
5*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^32*b^11*cos(c/2 + (d*x)/2) + 26649*root(729
0*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 1
2393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^34
*b^9*cos(c/2 + (d*x)/2) - 2592*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^
6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^
2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^36*b^7*cos(c/2 + (d*x)/2) + 891*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d
^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^4*b^40*cos(c/2 + (d*x)/2) - 12879*r
oot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*
d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)
^4*a^6*b^38*cos(c/2 + (d*x)/2) + 84807*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^
6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^
4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^8*b^36*cos(c/2 + (d*x)/2) - 332424*root(7290*a^10*b^4*d^6 - 7290*
a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 364
5*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^10*b^34*cos(c/2 + (d*x)/
2) + 840780*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^
6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2
+ b^8, d, k)^4*a^12*b^32*cos(c/2 + (d*x)/2) - 1340388*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b
^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*
b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^14*b^30*cos(c/2 + (d*x)/2) + 972972*root(7290*a^1
0*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*
a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^16*b^28
*cos(c/2 + (d*x)/2) + 1187784*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6
- 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2
+ 135*a^2*b^8*d^2 + b^8, d, k)^4*a^18*b^26*cos(c/2 + (d*x)/2) - 4934358*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6
*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b
^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^20*b^24*cos(c/2 + (d*x)/2) + 84
55590*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 72
9*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8
, d, k)^4*a^22*b^22*cos(c/2 + (d*x)/2) - 9660222*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6
+ 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^
4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^24*b^20*cos(c/2 + (d*x)/2) + 8061768*root(7290*a^10*b^4
*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b
^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^26*b^18*cos(
c/2 + (d*x)/2) - 5041764*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 72
9*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 13
5*a^2*b^8*d^2 + b^8, d, k)^4*a^28*b^16*cos(c/2 + (d*x)/2) + 2360988*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^
4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^30*b^14*cos(c/2 + (d*x)/2) - 811620*
root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14
*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k
)^4*a^32*b^12*cos(c/2 + (d*x)/2) + 196344*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645
*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135
*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^34*b^10*cos(c/2 + (d*x)/2) - 30861*root(7290*a^10*b^4*d^6 - 72
90*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 +
3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^36*b^8*cos(c/2 + (d*x
)/2) + 2673*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^
6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2
+ b^8, d, k)^4*a^38*b^6*cos(c/2 + (d*x)/2) - 81*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6
+ 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^
4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^40*b^4*cos(c/2 + (d*x)/2) + 972*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^
4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^4*b^41*cos(c/2 +
(d*x)/2) - 18225*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^
10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^
8*d^2 + b^8, d, k)^5*a^6*b^39*cos(c/2 + (d*x)/2) + 161838*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^1
2*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a
^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^8*b^37*cos(c/2 + (d*x)/2) - 904689*root(7290*a
^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 1239
3*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^10*b^
35*cos(c/2 + (d*x)/2) + 3569184*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d
^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d
^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^12*b^33*cos(c/2 + (d*x)/2) - 10558836*root(7290*a^10*b^4*d^6 - 7290*a^8*
b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^
8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^14*b^31*cos(c/2 + (d*x)/2) +
24290280*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^5*a^16*b^29*cos(c/2 + (d*x)/2) - 44466084*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^
2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b
^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^18*b^27*cos(c/2 + (d*x)/2) + 65732472*root(7290*a^
10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393
*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^20*b^2
5*cos(c/2 + (d*x)/2) - 79158222*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d
^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d
^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^22*b^23*cos(c/2 + (d*x)/2) + 77976756*root(7290*a^10*b^4*d^6 - 7290*a^8*
b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^
8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^24*b^21*cos(c/2 + (d*x)/2) -
62832510*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^5*a^26*b^19*cos(c/2 + (d*x)/2) + 41243904*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^
2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b
^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^28*b^17*cos(c/2 + (d*x)/2) - 21861252*root(7290*a^
10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393
*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^30*b^1
5*cos(c/2 + (d*x)/2) + 9220392*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^
6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^
2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^32*b^13*cos(c/2 + (d*x)/2) - 3023892*root(7290*a^10*b^4*d^6 - 7290*a^8*b^
6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*
b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^34*b^11*cos(c/2 + (d*x)/2) + 7
43580*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 72
9*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8
, d, k)^5*a^36*b^9*cos(c/2 + (d*x)/2) - 129033*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4
- 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^38*b^7*cos(c/2 + (d*x)/2) + 14094*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^
4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^40*b^5*cos(c/2 +
(d*x)/2) - 729*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10
*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*
d^2 + b^8, d, k)^5*a^42*b^3*cos(c/2 + (d*x)/2) - 936*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2
*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^
8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^3*b^39*sin(c/2 + (d*x)/2) + 13032*root(7290*a^10*b^
4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*
b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^5*b^37*sin(
c/2 + (d*x)/2) - 84132*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*
a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*
a^2*b^8*d^2 + b^8, d, k)^2*a^7*b^35*sin(c/2 + (d*x)/2) + 333648*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 36
45*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^9*b^33*sin(c/2 + (d*x)/2) - 907452*root(
7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a
^11*b^31*sin(c/2 + (d*x)/2) + 1788696*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6
*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4
*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^13*b^29*sin(c/2 + (d*x)/2) - 2630628*root(7290*a^10*b^4*d^6 - 7290
*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 36
45*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^15*b^27*sin(c/2 + (d*x)
/2) + 2924064*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*
d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d
^2 + b^8, d, k)^2*a^17*b^25*sin(c/2 + (d*x)/2) - 2455596*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12
*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^
4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^19*b^23*sin(c/2 + (d*x)/2) + 1534104*root(7290*
a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 123
93*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^21*b
^21*sin(c/2 + (d*x)/2) - 684684*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d
^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d
^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^23*b^19*sin(c/2 + (d*x)/2) + 196560*root(7290*a^10*b^4*d^6 - 7290*a^8*b^
6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*
b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^25*b^17*sin(c/2 + (d*x)/2) - 2
2932*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729
*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8,
d, k)^2*a^27*b^15*sin(c/2 + (d*x)/2) - 6552*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3
645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^29*b^13*sin(c/2 + (d*x)/2) + 3348*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^31*b^11*sin(c/2 + (
d*x)/2) - 576*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*
d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d
^2 + b^8, d, k)^2*a^33*b^9*sin(c/2 + (d*x)/2) + 36*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d
^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*
d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^35*b^7*sin(c/2 + (d*x)/2) + 1080*root(7290*a^10*b^4*d
^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6
*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^3*b^40*sin(c/2
+ (d*x)/2) - 6048*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*
b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*
b^8*d^2 + b^8, d, k)^3*a^5*b^38*sin(c/2 + (d*x)/2) - 23625*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^
12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*
a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^7*b^36*sin(c/2 + (d*x)/2) + 361044*root(7290*
a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 123
93*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^9*b^
34*sin(c/2 + (d*x)/2) - 1757511*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d
^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d
^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^11*b^32*sin(c/2 + (d*x)/2) + 5066334*root(7290*a^10*b^4*d^6 - 7290*a^8*b
^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8
*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^13*b^30*sin(c/2 + (d*x)/2) -
9830457*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 +
729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b
^8, d, k)^3*a^15*b^28*sin(c/2 + (d*x)/2) + 13374504*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*
d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8
*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^17*b^26*sin(c/2 + (d*x)/2) - 12675663*root(7290*a^10
*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a
^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^19*b^24*
sin(c/2 + (d*x)/2) + 7729722*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6
- 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2
+ 135*a^2*b^8*d^2 + b^8, d, k)^3*a^21*b^22*sin(c/2 + (d*x)/2) - 1942083*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*
d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^
4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^23*b^20*sin(c/2 + (d*x)/2) - 136
6092*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729
*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8,
d, k)^3*a^25*b^18*sin(c/2 + (d*x)/2) + 1796067*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6
+ 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4
- 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^27*b^16*sin(c/2 + (d*x)/2) - 993006*root(7290*a^10*b^4*d
^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6
*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^29*b^14*sin(c/
2 + (d*x)/2) + 318789*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a
^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a
^2*b^8*d^2 + b^8, d, k)^3*a^31*b^12*sin(c/2 + (d*x)/2) - 57456*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 364
5*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3
645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^33*b^10*sin(c/2 + (d*x)/2) + 4347*root(72
90*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^3
5*b^8*sin(c/2 + (d*x)/2) + 54*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6
- 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2
+ 135*a^2*b^8*d^2 + b^8, d, k)^3*a^37*b^6*sin(c/2 + (d*x)/2) + 648*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^
4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^3*b^41*sin(c/2 + (d*x)/2) - 7776*roo
t(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^
6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4
*a^5*b^39*sin(c/2 + (d*x)/2) + 35964*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*
b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*
b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^7*b^37*sin(c/2 + (d*x)/2) - 46656*root(7290*a^10*b^4*d^6 - 7290*a^8
*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a
^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^9*b^35*sin(c/2 + (d*x)/2) -
311040*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 +
729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b
^8, d, k)^4*a^11*b^33*sin(c/2 + (d*x)/2) + 2068416*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d
^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*
d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^13*b^31*sin(c/2 + (d*x)/2) - 6722352*root(7290*a^10*b
^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6
*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^15*b^29*si
n(c/2 + (d*x)/2) + 14758848*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)^4*a^17*b^27*sin(c/2 + (d*x)/2) - 23907312*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*
d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^
4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^19*b^25*sin(c/2 + (d*x)/2) + 296
52480*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 72
9*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8
, d, k)^4*a^21*b^23*sin(c/2 + (d*x)/2) - 28633176*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^
6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d
^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^23*b^21*sin(c/2 + (d*x)/2) + 21632832*root(7290*a^10*b
^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6
*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^25*b^19*si
n(c/2 + (d*x)/2) - 12737088*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)^4*a^27*b^17*sin(c/2 + (d*x)/2) + 5769792*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d
^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4
*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^29*b^15*sin(c/2 + (d*x)/2) - 1963
440*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*
a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8,
d, k)^4*a^31*b^13*sin(c/2 + (d*x)/2) + 482112*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^33*b^11*sin(c/2 + (d*x)/2) - 79704*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^
4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^35*b^9*sin(c/2 +
(d*x)/2) + 7776*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^1
0*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8
*d^2 + b^8, d, k)^4*a^37*b^7*sin(c/2 + (d*x)/2) - 324*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^
2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b
^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^39*b^5*sin(c/2 + (d*x)/2) + 243*root(7290*a^10*b^4
*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b
^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^5*b^40*sin(c
/2 + (d*x)/2) - 4374*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^
4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^
2*b^8*d^2 + b^8, d, k)^5*a^7*b^38*sin(c/2 + (d*x)/2) + 37179*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*
a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 364
5*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^9*b^36*sin(c/2 + (d*x)/2) - 198288*root(729
0*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 1
2393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^11
*b^34*sin(c/2 + (d*x)/2) + 743580*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8
*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6
*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^13*b^32*sin(c/2 + (d*x)/2) - 2082024*root(7290*a^10*b^4*d^6 - 7290*a^8
*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a
^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^15*b^30*sin(c/2 + (d*x)/2)
+ 4511052*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^5*a^17*b^28*sin(c/2 + (d*x)/2) - 7733232*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2
*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^
8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^19*b^26*sin(c/2 + (d*x)/2) + 10633194*root(7290*a^1
0*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*
a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^21*b^24
*sin(c/2 + (d*x)/2) - 11814660*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^
6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^
2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^23*b^22*sin(c/2 + (d*x)/2) + 10633194*root(7290*a^10*b^4*d^6 - 7290*a^8*b
^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8
*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^25*b^20*sin(c/2 + (d*x)/2) -
7733232*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 +
729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b
^8, d, k)^5*a^27*b^18*sin(c/2 + (d*x)/2) + 4511052*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d
^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*
d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^29*b^16*sin(c/2 + (d*x)/2) - 2082024*root(7290*a^10*b
^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6
*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^31*b^14*si
n(c/2 + (d*x)/2) + 743580*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 7
29*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 1
35*a^2*b^8*d^2 + b^8, d, k)^5*a^33*b^12*sin(c/2 + (d*x)/2) - 198288*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^
4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^35*b^10*sin(c/2 + (d*x)/2) + 37179*r
oot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*
d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)
^5*a^37*b^8*sin(c/2 + (d*x)/2) - 4374*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6
*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4
*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^39*b^6*sin(c/2 + (d*x)/2) + 243*root(7290*a^10*b^4*d^6 - 7290*a^8*
b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^
8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^41*b^4*sin(c/2 + (d*x)/2) +
24*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a
^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d
, k)*a*b^40*sin(c/2 + (d*x)/2) - 57*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b
^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b
^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^2*b^39*cos(c/2 + (d*x)/2) + 846*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*
d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^
4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^4*b^37*cos(c/2 + (d*x)/2) - 5859*r
oot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*
d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)
*a^6*b^35*cos(c/2 + (d*x)/2) + 25116*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*
b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*
b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^8*b^33*cos(c/2 + (d*x)/2) - 74529*root(7290*a^10*b^4*d^6 - 7290*a^8*b
^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8
*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^10*b^31*cos(c/2 + (d*x)/2) + 16
2162*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729
*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8,
d, k)*a^12*b^29*cos(c/2 + (d*x)/2) - 267267*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3
645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^14*b^27*cos(c/2 + (d*x)/2) + 339768*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^16*b^25*cos(c/2 + (d*
x)/2) - 335907*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10
*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*
d^2 + b^8, d, k)*a^18*b^23*cos(c/2 + (d*x)/2) + 258258*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b
^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*
b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^20*b^21*cos(c/2 + (d*x)/2) - 153153*root(7290*a^10*
b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^
6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^22*b^19*cos
(c/2 + (d*x)/2) + 68796*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729
*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135
*a^2*b^8*d^2 + b^8, d, k)*a^24*b^17*cos(c/2 + (d*x)/2) - 22659*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 364
5*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3
645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^26*b^15*cos(c/2 + (d*x)/2) + 5166*root(7290
*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12
393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^28*b^
13*cos(c/2 + (d*x)/2) - 729*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)*a^30*b^11*cos(c/2 + (d*x)/2) + 48*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 36
45*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^32*b^9*cos(c/2 + (d*x)/2)))/cos(c/2 + (d*x
)/2))*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 72
9*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8
, d, k), k, 1, 6))/(a^4*d*cos(c/2 + (d*x)/2)^6 + b^4*d*cos(c/2 + (d*x)/2)^6 - a^4*d*sin(c/2 + (d*x)/2)^6 - b^4
*d*sin(c/2 + (d*x)/2)^6 - 2*a^2*b^2*d*cos(c/2 + (d*x)/2)^6 + 2*a^2*b^2*d*sin(c/2 + (d*x)/2)^6 + 3*a^4*d*cos(c/
2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 - 3*a^4*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2 + 3*b^4*d*cos(c/2 + (d
*x)/2)^2*sin(c/2 + (d*x)/2)^4 - 3*b^4*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2 - 6*a^2*b^2*d*cos(c/2 + (d*x
)/2)^2*sin(c/2 + (d*x)/2)^4 + 6*a^2*b^2*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2) + (3*b^4*cos(c/2 + (d*x)/
2)^2*sin(c/2 + (d*x)/2)^4*symsum(log(-(8192*(6*a^2*b^38*cos(c/2 + (d*x)/2) - 20*a*b^39*sin(c/2 + (d*x)/2) - 84
*a^4*b^36*cos(c/2 + (d*x)/2) + 546*a^6*b^34*cos(c/2 + (d*x)/2) - 2184*a^8*b^32*cos(c/2 + (d*x)/2) + 6006*a^10*
b^30*cos(c/2 + (d*x)/2) - 12012*a^12*b^28*cos(c/2 + (d*x)/2) + 18018*a^14*b^26*cos(c/2 + (d*x)/2) - 20592*a^16
*b^24*cos(c/2 + (d*x)/2) + 18018*a^18*b^22*cos(c/2 + (d*x)/2) - 12012*a^20*b^20*cos(c/2 + (d*x)/2) + 6006*a^22
*b^18*cos(c/2 + (d*x)/2) - 2184*a^24*b^16*cos(c/2 + (d*x)/2) + 546*a^26*b^14*cos(c/2 + (d*x)/2) - 84*a^28*b^12
*cos(c/2 + (d*x)/2) + 6*a^30*b^10*cos(c/2 + (d*x)/2) + 280*a^3*b^37*sin(c/2 + (d*x)/2) - 1820*a^5*b^35*sin(c/2
+ (d*x)/2) + 7280*a^7*b^33*sin(c/2 + (d*x)/2) - 20020*a^9*b^31*sin(c/2 + (d*x)/2) + 40040*a^11*b^29*sin(c/2 +
(d*x)/2) - 60060*a^13*b^27*sin(c/2 + (d*x)/2) + 68640*a^15*b^25*sin(c/2 + (d*x)/2) - 60060*a^17*b^23*sin(c/2
+ (d*x)/2) + 40040*a^19*b^21*sin(c/2 + (d*x)/2) - 20020*a^21*b^19*sin(c/2 + (d*x)/2) + 7280*a^23*b^17*sin(c/2
+ (d*x)/2) - 1820*a^25*b^15*sin(c/2 + (d*x)/2) + 280*a^27*b^13*sin(c/2 + (d*x)/2) - 20*a^29*b^11*sin(c/2 + (d*
x)/2) - 588*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^
6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2
+ b^8, d, k)*a^3*b^38*sin(c/2 + (d*x)/2) + 5715*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6
+ 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^
4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^5*b^36*sin(c/2 + (d*x)/2) - 31710*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^
4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^7*b^34*sin(c/2 + (d
*x)/2) + 116025*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^1
0*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8
*d^2 + b^8, d, k)*a^9*b^32*sin(c/2 + (d*x)/2) - 301392*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b
^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*
b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^11*b^30*sin(c/2 + (d*x)/2) + 579579*root(7290*a^10*
b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^
6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^13*b^28*sin
(c/2 + (d*x)/2) - 845130*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 72
9*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 13
5*a^2*b^8*d^2 + b^8, d, k)*a^15*b^26*sin(c/2 + (d*x)/2) + 945945*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3
645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^17*b^24*sin(c/2 + (d*x)/2) - 815100*root(
7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^1
9*b^22*sin(c/2 + (d*x)/2) + 537537*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^
8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^
6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^21*b^20*sin(c/2 + (d*x)/2) - 266994*root(7290*a^10*b^4*d^6 - 7290*a^8*b
^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8
*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^23*b^18*sin(c/2 + (d*x)/2) + 96
915*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*
a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8,
d, k)*a^25*b^16*sin(c/2 + (d*x)/2) - 24360*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 364
5*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 13
5*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^27*b^14*sin(c/2 + (d*x)/2) + 3825*root(7290*a^10*b^4*d^6 - 7290
*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 36
45*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^29*b^12*sin(c/2 + (d*x)/2
) - 294*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 +
729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b
^8, d, k)*a^31*b^10*sin(c/2 + (d*x)/2) + 3*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 364
5*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 13
5*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^33*b^8*sin(c/2 + (d*x)/2) + 36*root(7290*a^10*b^4*d^6 - 7290*a^
8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*
a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^2*b^40*cos(c/2 + (d*x)/2)
- 1143*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 7
29*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^
8, d, k)^2*a^4*b^38*cos(c/2 + (d*x)/2) + 11853*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4
- 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^6*b^36*cos(c/2 + (d*x)/2) - 66087*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^
4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^8*b^34*cos(c/2 +
(d*x)/2) + 235053*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b
^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b
^8*d^2 + b^8, d, k)^2*a^10*b^32*cos(c/2 + (d*x)/2) - 577395*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a
^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645
*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^12*b^30*cos(c/2 + (d*x)/2) + 1018017*root(72
90*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^1
4*b^28*cos(c/2 + (d*x)/2) - 1303731*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b
^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b
^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^16*b^26*cos(c/2 + (d*x)/2) + 1193049*root(7290*a^10*b^4*d^6 - 7290*a
^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645
*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^18*b^24*cos(c/2 + (d*x)/2
) - 724581*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2
+ b^8, d, k)^2*a^20*b^22*cos(c/2 + (d*x)/2) + 207207*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2
*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^
8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^22*b^20*cos(c/2 + (d*x)/2) + 85995*root(7290*a^10*b
^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6
*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^24*b^18*co
s(c/2 + (d*x)/2) - 133497*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 7
29*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 1
35*a^2*b^8*d^2 + b^8, d, k)^2*a^26*b^16*cos(c/2 + (d*x)/2) + 75663*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 -
3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4
+ 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^28*b^14*cos(c/2 + (d*x)/2) - 24597*ro
ot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d
^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^
2*a^30*b^12*cos(c/2 + (d*x)/2) + 4527*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6
*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4
*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^32*b^10*cos(c/2 + (d*x)/2) - 369*root(7290*a^10*b^4*d^6 - 7290*a^8
*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a
^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^34*b^8*cos(c/2 + (d*x)/2) -
3078*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 72
9*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8
, d, k)^3*a^4*b^39*cos(c/2 + (d*x)/2) + 33453*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^6*b^37*cos(c/2 + (d*x)/2) - 147744*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^
4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^8*b^35*cos(c/2 +
(d*x)/2) + 279531*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b
^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b
^8*d^2 + b^8, d, k)^3*a^10*b^33*cos(c/2 + (d*x)/2) + 191646*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a
^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645
*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^12*b^31*cos(c/2 + (d*x)/2) - 2542995*root(72
90*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^1
4*b^29*cos(c/2 + (d*x)/2) + 7459452*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b
^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b
^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^16*b^27*cos(c/2 + (d*x)/2) - 13193037*root(7290*a^10*b^4*d^6 - 7290*
a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 364
5*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^18*b^25*cos(c/2 + (d*x)/
2) + 16054038*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*
d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d
^2 + b^8, d, k)^3*a^20*b^23*cos(c/2 + (d*x)/2) - 13888017*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^1
2*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a
^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^22*b^21*cos(c/2 + (d*x)/2) + 8432424*root(7290
*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12
393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^24*
b^19*cos(c/2 + (d*x)/2) - 3339063*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8
*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6
*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^26*b^17*cos(c/2 + (d*x)/2) + 633906*root(7290*a^10*b^4*d^6 - 7290*a^8*
b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^
8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^28*b^15*cos(c/2 + (d*x)/2) +
109431*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 +
729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b
^8, d, k)^3*a^30*b^13*cos(c/2 + (d*x)/2) - 104004*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^
6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d
^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^32*b^11*cos(c/2 + (d*x)/2) + 26649*root(7290*a^10*b^4*
d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^
6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^34*b^9*cos(c/
2 + (d*x)/2) - 2592*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4
*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2
*b^8*d^2 + b^8, d, k)^3*a^36*b^7*cos(c/2 + (d*x)/2) + 891*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^1
2*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a
^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^4*b^40*cos(c/2 + (d*x)/2) - 12879*root(7290*a^
10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393
*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^6*b^38
*cos(c/2 + (d*x)/2) + 84807*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)^4*a^8*b^36*cos(c/2 + (d*x)/2) - 332424*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d
^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^10*b^34*cos(c/2 + (d*x)/2) + 840780
*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^1
4*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d,
k)^4*a^12*b^32*cos(c/2 + (d*x)/2) - 1340388*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 36
45*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 1
35*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^14*b^30*cos(c/2 + (d*x)/2) + 972972*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^16*b^28*cos(c/2 +
(d*x)/2) + 1187784*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*
b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*
b^8*d^2 + b^8, d, k)^4*a^18*b^26*cos(c/2 + (d*x)/2) - 4934358*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645
*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 36
45*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^20*b^24*cos(c/2 + (d*x)/2) + 8455590*root(
7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a
^22*b^22*cos(c/2 + (d*x)/2) - 9660222*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6
*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4
*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^24*b^20*cos(c/2 + (d*x)/2) + 8061768*root(7290*a^10*b^4*d^6 - 7290
*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 36
45*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^26*b^18*cos(c/2 + (d*x)
/2) - 5041764*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*
d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d
^2 + b^8, d, k)^4*a^28*b^16*cos(c/2 + (d*x)/2) + 2360988*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12
*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^
4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^30*b^14*cos(c/2 + (d*x)/2) - 811620*root(7290*a
^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 1239
3*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^32*b^
12*cos(c/2 + (d*x)/2) + 196344*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^
6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^
2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^34*b^10*cos(c/2 + (d*x)/2) - 30861*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*
d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^
4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^36*b^8*cos(c/2 + (d*x)/2) + 2673
*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^1
4*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d,
k)^4*a^38*b^6*cos(c/2 + (d*x)/2) - 81*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6
*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4
*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^40*b^4*cos(c/2 + (d*x)/2) + 972*root(7290*a^10*b^4*d^6 - 7290*a^8*
b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^
8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^4*b^41*cos(c/2 + (d*x)/2) -
18225*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 72
9*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8
, d, k)^5*a^6*b^39*cos(c/2 + (d*x)/2) + 161838*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4
- 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^8*b^37*cos(c/2 + (d*x)/2) - 904689*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d
^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^10*b^35*cos(c/2
+ (d*x)/2) + 3569184*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^
4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^
2*b^8*d^2 + b^8, d, k)^5*a^12*b^33*cos(c/2 + (d*x)/2) - 10558836*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3
645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^14*b^31*cos(c/2 + (d*x)/2) + 24290280*r
oot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*
d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)
^5*a^16*b^29*cos(c/2 + (d*x)/2) - 44466084*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 364
5*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 13
5*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^18*b^27*cos(c/2 + (d*x)/2) + 65732472*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^
4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^20*b^25*cos(c/2 +
(d*x)/2) - 79158222*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^
4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^
2*b^8*d^2 + b^8, d, k)^5*a^22*b^23*cos(c/2 + (d*x)/2) + 77976756*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3
645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^24*b^21*cos(c/2 + (d*x)/2) - 62832510*r
oot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*
d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)
^5*a^26*b^19*cos(c/2 + (d*x)/2) + 41243904*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 364
5*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 13
5*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^28*b^17*cos(c/2 + (d*x)/2) - 21861252*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^
4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^30*b^15*cos(c/2 +
(d*x)/2) + 9220392*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4
*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2
*b^8*d^2 + b^8, d, k)^5*a^32*b^13*cos(c/2 + (d*x)/2) - 3023892*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 364
5*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3
645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^34*b^11*cos(c/2 + (d*x)/2) + 743580*root(
7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a
^36*b^9*cos(c/2 + (d*x)/2) - 129033*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b
^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b
^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^38*b^7*cos(c/2 + (d*x)/2) + 14094*root(7290*a^10*b^4*d^6 - 7290*a^8*
b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^
8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^40*b^5*cos(c/2 + (d*x)/2) -
729*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*
a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8,
d, k)^5*a^42*b^3*cos(c/2 + (d*x)/2) - 936*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645
*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135
*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^3*b^39*sin(c/2 + (d*x)/2) + 13032*root(7290*a^10*b^4*d^6 - 729
0*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3
645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^5*b^37*sin(c/2 + (d*x)
/2) - 84132*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^
6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2
+ b^8, d, k)^2*a^7*b^35*sin(c/2 + (d*x)/2) + 333648*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2
*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^
8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^9*b^33*sin(c/2 + (d*x)/2) - 907452*root(7290*a^10*b
^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6
*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^11*b^31*si
n(c/2 + (d*x)/2) + 1788696*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)^2*a^13*b^29*sin(c/2 + (d*x)/2) - 2630628*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^
6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*
d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^15*b^27*sin(c/2 + (d*x)/2) + 29240
64*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a
^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d
, k)^2*a^17*b^25*sin(c/2 + (d*x)/2) - 2455596*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^19*b^23*sin(c/2 + (d*x)/2) + 1534104*root(7290*a^10*b^4*d^
6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*
d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^21*b^21*sin(c/2
+ (d*x)/2) - 684684*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^
4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^
2*b^8*d^2 + b^8, d, k)^2*a^23*b^19*sin(c/2 + (d*x)/2) + 196560*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 364
5*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3
645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^25*b^17*sin(c/2 + (d*x)/2) - 22932*root(7
290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^
27*b^15*sin(c/2 + (d*x)/2) - 6552*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8
*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6
*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^29*b^13*sin(c/2 + (d*x)/2) + 3348*root(7290*a^10*b^4*d^6 - 7290*a^8*b^
6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*
b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^31*b^11*sin(c/2 + (d*x)/2) - 5
76*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a
^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d
, k)^2*a^33*b^9*sin(c/2 + (d*x)/2) + 36*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a
^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a
^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^35*b^7*sin(c/2 + (d*x)/2) + 1080*root(7290*a^10*b^4*d^6 - 7290*a
^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645
*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^3*b^40*sin(c/2 + (d*x)/2)
- 6048*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 +
729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b
^8, d, k)^3*a^5*b^38*sin(c/2 + (d*x)/2) - 23625*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6
+ 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4
- 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^7*b^36*sin(c/2 + (d*x)/2) + 361044*root(7290*a^10*b^4*d^
6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*
d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^9*b^34*sin(c/2
+ (d*x)/2) - 1757511*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^
4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^
2*b^8*d^2 + b^8, d, k)^3*a^11*b^32*sin(c/2 + (d*x)/2) + 5066334*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 36
45*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^13*b^30*sin(c/2 + (d*x)/2) - 9830457*roo
t(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^
6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3
*a^15*b^28*sin(c/2 + (d*x)/2) + 13374504*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*
a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*
a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^17*b^26*sin(c/2 + (d*x)/2) - 12675663*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^19*b^24*sin(c/2 + (
d*x)/2) + 7729722*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b
^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b
^8*d^2 + b^8, d, k)^3*a^21*b^22*sin(c/2 + (d*x)/2) - 1942083*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*
a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 364
5*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^23*b^20*sin(c/2 + (d*x)/2) - 1366092*root(7
290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^
25*b^18*sin(c/2 + (d*x)/2) + 1796067*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*
b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*
b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^27*b^16*sin(c/2 + (d*x)/2) - 993006*root(7290*a^10*b^4*d^6 - 7290*a
^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645
*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^29*b^14*sin(c/2 + (d*x)/2
) + 318789*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2
+ b^8, d, k)^3*a^31*b^12*sin(c/2 + (d*x)/2) - 57456*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*
d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8
*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^33*b^10*sin(c/2 + (d*x)/2) + 4347*root(7290*a^10*b^4
*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b
^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^35*b^8*sin(c
/2 + (d*x)/2) + 54*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*
b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*
b^8*d^2 + b^8, d, k)^3*a^37*b^6*sin(c/2 + (d*x)/2) + 648*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12
*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^
4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^3*b^41*sin(c/2 + (d*x)/2) - 7776*root(7290*a^10
*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a
^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^5*b^39*s
in(c/2 + (d*x)/2) + 35964*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 7
29*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 1
35*a^2*b^8*d^2 + b^8, d, k)^4*a^7*b^37*sin(c/2 + (d*x)/2) - 46656*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 -
3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4
+ 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^9*b^35*sin(c/2 + (d*x)/2) - 311040*roo
t(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^
6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4
*a^11*b^33*sin(c/2 + (d*x)/2) + 2068416*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a
^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a
^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^13*b^31*sin(c/2 + (d*x)/2) - 6722352*root(7290*a^10*b^4*d^6 - 72
90*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 +
3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^15*b^29*sin(c/2 + (d*
x)/2) + 14758848*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^
10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^
8*d^2 + b^8, d, k)^4*a^17*b^27*sin(c/2 + (d*x)/2) - 23907312*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*
a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 364
5*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^19*b^25*sin(c/2 + (d*x)/2) + 29652480*root(
7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a
^21*b^23*sin(c/2 + (d*x)/2) - 28633176*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^
6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^
4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^23*b^21*sin(c/2 + (d*x)/2) + 21632832*root(7290*a^10*b^4*d^6 - 72
90*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 +
3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^25*b^19*sin(c/2 + (d*
x)/2) - 12737088*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^
10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^
8*d^2 + b^8, d, k)^4*a^27*b^17*sin(c/2 + (d*x)/2) + 5769792*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a
^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645
*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^29*b^15*sin(c/2 + (d*x)/2) - 1963440*root(72
90*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^3
1*b^13*sin(c/2 + (d*x)/2) + 482112*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^
8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^
6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^33*b^11*sin(c/2 + (d*x)/2) - 79704*root(7290*a^10*b^4*d^6 - 7290*a^8*
b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^
8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^35*b^9*sin(c/2 + (d*x)/2) +
7776*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729
*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8,
d, k)^4*a^37*b^7*sin(c/2 + (d*x)/2) - 324*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 364
5*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 13
5*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^39*b^5*sin(c/2 + (d*x)/2) + 243*root(7290*a^10*b^4*d^6 - 7290
*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 36
45*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^5*b^40*sin(c/2 + (d*x)/
2) - 4374*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^5*a^7*b^38*sin(c/2 + (d*x)/2) + 37179*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^
6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d
^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^9*b^36*sin(c/2 + (d*x)/2) - 198288*root(7290*a^10*b^4*
d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^
6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^11*b^34*sin(c
/2 + (d*x)/2) + 743580*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*
a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*
a^2*b^8*d^2 + b^8, d, k)^5*a^13*b^32*sin(c/2 + (d*x)/2) - 2082024*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 -
3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4
+ 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^15*b^30*sin(c/2 + (d*x)/2) + 4511052*r
oot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*
d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)
^5*a^17*b^28*sin(c/2 + (d*x)/2) - 7733232*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645
*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135
*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^19*b^26*sin(c/2 + (d*x)/2) + 10633194*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^21*b^24*sin(c/2 +
(d*x)/2) - 11814660*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4
*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2
*b^8*d^2 + b^8, d, k)^5*a^23*b^22*sin(c/2 + (d*x)/2) + 10633194*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 36
45*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^25*b^20*sin(c/2 + (d*x)/2) - 7733232*roo
t(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^
6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5
*a^27*b^18*sin(c/2 + (d*x)/2) + 4511052*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a
^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a
^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^29*b^16*sin(c/2 + (d*x)/2) - 2082024*root(7290*a^10*b^4*d^6 - 72
90*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 +
3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^31*b^14*sin(c/2 + (d*
x)/2) + 743580*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10
*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*
d^2 + b^8, d, k)^5*a^33*b^12*sin(c/2 + (d*x)/2) - 198288*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12
*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^
4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^35*b^10*sin(c/2 + (d*x)/2) + 37179*root(7290*a^
10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393
*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^37*b^8
*sin(c/2 + (d*x)/2) - 4374*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)^5*a^39*b^6*sin(c/2 + (d*x)/2) + 243*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3
645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^41*b^4*sin(c/2 + (d*x)/2) + 24*root(729
0*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 1
2393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a*b^40
*sin(c/2 + (d*x)/2) - 57*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 72
9*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 13
5*a^2*b^8*d^2 + b^8, d, k)*a^2*b^39*cos(c/2 + (d*x)/2) + 846*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*
a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 364
5*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^4*b^37*cos(c/2 + (d*x)/2) - 5859*root(7290*a^
10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393
*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^6*b^35*c
os(c/2 + (d*x)/2) + 25116*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 7
29*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 1
35*a^2*b^8*d^2 + b^8, d, k)*a^8*b^33*cos(c/2 + (d*x)/2) - 74529*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 36
45*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^10*b^31*cos(c/2 + (d*x)/2) + 162162*root(7
290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^12
*b^29*cos(c/2 + (d*x)/2) - 267267*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8
*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6
*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^14*b^27*cos(c/2 + (d*x)/2) + 339768*root(7290*a^10*b^4*d^6 - 7290*a^8*b^
6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*
b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^16*b^25*cos(c/2 + (d*x)/2) - 335
907*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*
a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8,
d, k)*a^18*b^23*cos(c/2 + (d*x)/2) + 258258*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 36
45*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 1
35*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^20*b^21*cos(c/2 + (d*x)/2) - 153153*root(7290*a^10*b^4*d^6 - 7
290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 +
3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^22*b^19*cos(c/2 + (d*x
)/2) + 68796*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d
^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^
2 + b^8, d, k)*a^24*b^17*cos(c/2 + (d*x)/2) - 22659*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*
d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8
*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^26*b^15*cos(c/2 + (d*x)/2) + 5166*root(7290*a^10*b^4*d
^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6
*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^28*b^13*cos(c/2
+ (d*x)/2) - 729*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^
10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^
8*d^2 + b^8, d, k)*a^30*b^11*cos(c/2 + (d*x)/2) + 48*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2
*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^
8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^32*b^9*cos(c/2 + (d*x)/2)))/cos(c/2 + (d*x)/2))*root(
7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k), k,
1, 6))/(a^4*d*cos(c/2 + (d*x)/2)^6 + b^4*d*cos(c/2 + (d*x)/2)^6 - a^4*d*sin(c/2 + (d*x)/2)^6 - b^4*d*sin(c/2
+ (d*x)/2)^6 - 2*a^2*b^2*d*cos(c/2 + (d*x)/2)^6 + 2*a^2*b^2*d*sin(c/2 + (d*x)/2)^6 + 3*a^4*d*cos(c/2 + (d*x)/2
)^2*sin(c/2 + (d*x)/2)^4 - 3*a^4*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2 + 3*b^4*d*cos(c/2 + (d*x)/2)^2*si
n(c/2 + (d*x)/2)^4 - 3*b^4*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2 - 6*a^2*b^2*d*cos(c/2 + (d*x)/2)^2*sin(
c/2 + (d*x)/2)^4 + 6*a^2*b^2*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2) - (3*b^4*cos(c/2 + (d*x)/2)^4*sin(c/
2 + (d*x)/2)^2*symsum(log(-(8192*(6*a^2*b^38*cos(c/2 + (d*x)/2) - 20*a*b^39*sin(c/2 + (d*x)/2) - 84*a^4*b^36*c
os(c/2 + (d*x)/2) + 546*a^6*b^34*cos(c/2 + (d*x)/2) - 2184*a^8*b^32*cos(c/2 + (d*x)/2) + 6006*a^10*b^30*cos(c/
2 + (d*x)/2) - 12012*a^12*b^28*cos(c/2 + (d*x)/2) + 18018*a^14*b^26*cos(c/2 + (d*x)/2) - 20592*a^16*b^24*cos(c
/2 + (d*x)/2) + 18018*a^18*b^22*cos(c/2 + (d*x)/2) - 12012*a^20*b^20*cos(c/2 + (d*x)/2) + 6006*a^22*b^18*cos(c
/2 + (d*x)/2) - 2184*a^24*b^16*cos(c/2 + (d*x)/2) + 546*a^26*b^14*cos(c/2 + (d*x)/2) - 84*a^28*b^12*cos(c/2 +
(d*x)/2) + 6*a^30*b^10*cos(c/2 + (d*x)/2) + 280*a^3*b^37*sin(c/2 + (d*x)/2) - 1820*a^5*b^35*sin(c/2 + (d*x)/2)
+ 7280*a^7*b^33*sin(c/2 + (d*x)/2) - 20020*a^9*b^31*sin(c/2 + (d*x)/2) + 40040*a^11*b^29*sin(c/2 + (d*x)/2) -
60060*a^13*b^27*sin(c/2 + (d*x)/2) + 68640*a^15*b^25*sin(c/2 + (d*x)/2) - 60060*a^17*b^23*sin(c/2 + (d*x)/2)
+ 40040*a^19*b^21*sin(c/2 + (d*x)/2) - 20020*a^21*b^19*sin(c/2 + (d*x)/2) + 7280*a^23*b^17*sin(c/2 + (d*x)/2)
- 1820*a^25*b^15*sin(c/2 + (d*x)/2) + 280*a^27*b^13*sin(c/2 + (d*x)/2) - 20*a^29*b^11*sin(c/2 + (d*x)/2) - 588
*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^1
4*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d,
k)*a^3*b^38*sin(c/2 + (d*x)/2) + 5715*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6
*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4
*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^5*b^36*sin(c/2 + (d*x)/2) - 31710*root(7290*a^10*b^4*d^6 - 7290*a^8*
b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^
8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^7*b^34*sin(c/2 + (d*x)/2) + 11
6025*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729
*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8,
d, k)*a^9*b^32*sin(c/2 + (d*x)/2) - 301392*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 36
45*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 1
35*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^11*b^30*sin(c/2 + (d*x)/2) + 579579*root(7290*a^10*b^4*d^6 - 7
290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 +
3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^13*b^28*sin(c/2 + (d*x
)/2) - 845130*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*
d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d
^2 + b^8, d, k)*a^15*b^26*sin(c/2 + (d*x)/2) + 945945*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^
2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b
^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^17*b^24*sin(c/2 + (d*x)/2) - 815100*root(7290*a^10*b
^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6
*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^19*b^22*sin(
c/2 + (d*x)/2) + 537537*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729
*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135
*a^2*b^8*d^2 + b^8, d, k)*a^21*b^20*sin(c/2 + (d*x)/2) - 266994*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 36
45*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^23*b^18*sin(c/2 + (d*x)/2) + 96915*root(72
90*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^25*
b^16*sin(c/2 + (d*x)/2) - 24360*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d
^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d
^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^27*b^14*sin(c/2 + (d*x)/2) + 3825*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^
6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*
d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^29*b^12*sin(c/2 + (d*x)/2) - 294*roo
t(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^
6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a
^31*b^10*sin(c/2 + (d*x)/2) + 3*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d
^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d
^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^33*b^8*sin(c/2 + (d*x)/2) + 36*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 -
3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4
+ 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^2*b^40*cos(c/2 + (d*x)/2) - 1143*root
(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*
a^4*b^38*cos(c/2 + (d*x)/2) + 11853*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b
^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b
^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^6*b^36*cos(c/2 + (d*x)/2) - 66087*root(7290*a^10*b^4*d^6 - 7290*a^8*
b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^
8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^8*b^34*cos(c/2 + (d*x)/2) +
235053*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 7
29*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^
8, d, k)^2*a^10*b^32*cos(c/2 + (d*x)/2) - 577395*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6
+ 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^
4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^12*b^30*cos(c/2 + (d*x)/2) + 1018017*root(7290*a^10*b^4
*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b
^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^14*b^28*cos(
c/2 + (d*x)/2) - 1303731*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 72
9*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 13
5*a^2*b^8*d^2 + b^8, d, k)^2*a^16*b^26*cos(c/2 + (d*x)/2) + 1193049*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^
4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^18*b^24*cos(c/2 + (d*x)/2) - 724581*
root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14
*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k
)^2*a^20*b^22*cos(c/2 + (d*x)/2) + 207207*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645
*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135
*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^22*b^20*cos(c/2 + (d*x)/2) + 85995*root(7290*a^10*b^4*d^6 - 72
90*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 +
3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^24*b^18*cos(c/2 + (d*
x)/2) - 133497*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10
*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*
d^2 + b^8, d, k)^2*a^26*b^16*cos(c/2 + (d*x)/2) + 75663*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*
b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4
*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^28*b^14*cos(c/2 + (d*x)/2) - 24597*root(7290*a^1
0*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*
a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^30*b^12
*cos(c/2 + (d*x)/2) + 4527*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)^2*a^32*b^10*cos(c/2 + (d*x)/2) - 369*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 -
3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4
+ 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^34*b^8*cos(c/2 + (d*x)/2) - 3078*root(
7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a
^4*b^39*cos(c/2 + (d*x)/2) + 33453*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^
8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^
6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^6*b^37*cos(c/2 + (d*x)/2) - 147744*root(7290*a^10*b^4*d^6 - 7290*a^8*
b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^
8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^8*b^35*cos(c/2 + (d*x)/2) +
279531*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 7
29*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^
8, d, k)^3*a^10*b^33*cos(c/2 + (d*x)/2) + 191646*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6
+ 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^
4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^12*b^31*cos(c/2 + (d*x)/2) - 2542995*root(7290*a^10*b^4
*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b
^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^14*b^29*cos(
c/2 + (d*x)/2) + 7459452*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 72
9*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 13
5*a^2*b^8*d^2 + b^8, d, k)^3*a^16*b^27*cos(c/2 + (d*x)/2) - 13193037*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d
^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^18*b^25*cos(c/2 + (d*x)/2) + 160540
38*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a
^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d
, k)^3*a^20*b^23*cos(c/2 + (d*x)/2) - 13888017*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4
- 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^22*b^21*cos(c/2 + (d*x)/2) + 8432424*root(7290*a^10*b^4*d
^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6
*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^24*b^19*cos(c/
2 + (d*x)/2) - 3339063*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*
a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*
a^2*b^8*d^2 + b^8, d, k)^3*a^26*b^17*cos(c/2 + (d*x)/2) + 633906*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3
645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^28*b^15*cos(c/2 + (d*x)/2) + 109431*roo
t(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^
6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3
*a^30*b^13*cos(c/2 + (d*x)/2) - 104004*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^
6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^
4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^32*b^11*cos(c/2 + (d*x)/2) + 26649*root(7290*a^10*b^4*d^6 - 7290*
a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 364
5*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^34*b^9*cos(c/2 + (d*x)/2
) - 2592*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 +
729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^3*a^36*b^7*cos(c/2 + (d*x)/2) + 891*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4
- 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^4*b^40*cos(c/2 + (d*x)/2) - 12879*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^
4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^6*b^38*cos(c/2 +
(d*x)/2) + 84807*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^
10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^
8*d^2 + b^8, d, k)^4*a^8*b^36*cos(c/2 + (d*x)/2) - 332424*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^1
2*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a
^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^10*b^34*cos(c/2 + (d*x)/2) + 840780*root(7290*
a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 123
93*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^12*b
^32*cos(c/2 + (d*x)/2) - 1340388*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*
d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*
d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^14*b^30*cos(c/2 + (d*x)/2) + 972972*root(7290*a^10*b^4*d^6 - 7290*a^8*b
^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8
*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^16*b^28*cos(c/2 + (d*x)/2) +
1187784*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 +
729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b
^8, d, k)^4*a^18*b^26*cos(c/2 + (d*x)/2) - 4934358*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d
^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*
d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^20*b^24*cos(c/2 + (d*x)/2) + 8455590*root(7290*a^10*b
^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6
*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^22*b^22*co
s(c/2 + (d*x)/2) - 9660222*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)^4*a^24*b^20*cos(c/2 + (d*x)/2) + 8061768*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^
6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*
d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^26*b^18*cos(c/2 + (d*x)/2) - 50417
64*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a
^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d
, k)^4*a^28*b^16*cos(c/2 + (d*x)/2) + 2360988*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^30*b^14*cos(c/2 + (d*x)/2) - 811620*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d
^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^32*b^12*cos(c/2
+ (d*x)/2) + 196344*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4
*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2
*b^8*d^2 + b^8, d, k)^4*a^34*b^10*cos(c/2 + (d*x)/2) - 30861*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*
a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 364
5*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^36*b^8*cos(c/2 + (d*x)/2) + 2673*root(7290*
a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 123
93*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^38*b
^6*cos(c/2 + (d*x)/2) - 81*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)^4*a^40*b^4*cos(c/2 + (d*x)/2) + 972*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3
645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^4*b^41*cos(c/2 + (d*x)/2) - 18225*root(
7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a
^6*b^39*cos(c/2 + (d*x)/2) + 161838*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b
^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b
^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^8*b^37*cos(c/2 + (d*x)/2) - 904689*root(7290*a^10*b^4*d^6 - 7290*a^8
*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a
^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^10*b^35*cos(c/2 + (d*x)/2)
+ 3569184*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^5*a^12*b^33*cos(c/2 + (d*x)/2) - 10558836*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^
2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b
^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^14*b^31*cos(c/2 + (d*x)/2) + 24290280*root(7290*a^
10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393
*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^16*b^2
9*cos(c/2 + (d*x)/2) - 44466084*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d
^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d
^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^18*b^27*cos(c/2 + (d*x)/2) + 65732472*root(7290*a^10*b^4*d^6 - 7290*a^8*
b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^
8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^20*b^25*cos(c/2 + (d*x)/2) -
79158222*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^5*a^22*b^23*cos(c/2 + (d*x)/2) + 77976756*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^
2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b
^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^24*b^21*cos(c/2 + (d*x)/2) - 62832510*root(7290*a^
10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393
*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^26*b^1
9*cos(c/2 + (d*x)/2) + 41243904*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d
^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d
^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^28*b^17*cos(c/2 + (d*x)/2) - 21861252*root(7290*a^10*b^4*d^6 - 7290*a^8*
b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^
8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^30*b^15*cos(c/2 + (d*x)/2) +
9220392*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 +
729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^5*a^32*b^13*cos(c/2 + (d*x)/2) - 3023892*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*
d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8
*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^34*b^11*cos(c/2 + (d*x)/2) + 743580*root(7290*a^10*b
^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6
*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^36*b^9*cos
(c/2 + (d*x)/2) - 129033*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 72
9*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 13
5*a^2*b^8*d^2 + b^8, d, k)^5*a^38*b^7*cos(c/2 + (d*x)/2) + 14094*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3
645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^40*b^5*cos(c/2 + (d*x)/2) - 729*root(72
90*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^4
2*b^3*cos(c/2 + (d*x)/2) - 936*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^
6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^
2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^3*b^39*sin(c/2 + (d*x)/2) + 13032*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d
^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4
*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^5*b^37*sin(c/2 + (d*x)/2) - 84132
*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^1
4*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d,
k)^2*a^7*b^35*sin(c/2 + (d*x)/2) + 333648*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645
*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135
*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^9*b^33*sin(c/2 + (d*x)/2) - 907452*root(7290*a^10*b^4*d^6 - 72
90*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 +
3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^11*b^31*sin(c/2 + (d*
x)/2) + 1788696*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^1
0*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8
*d^2 + b^8, d, k)^2*a^13*b^29*sin(c/2 + (d*x)/2) - 2630628*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^
12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*
a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^15*b^27*sin(c/2 + (d*x)/2) + 2924064*root(729
0*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 1
2393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^17
*b^25*sin(c/2 + (d*x)/2) - 2455596*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^
8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^
6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^19*b^23*sin(c/2 + (d*x)/2) + 1534104*root(7290*a^10*b^4*d^6 - 7290*a^
8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*
a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^21*b^21*sin(c/2 + (d*x)/2)
- 684684*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^2*a^23*b^19*sin(c/2 + (d*x)/2) + 196560*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*
d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8
*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^25*b^17*sin(c/2 + (d*x)/2) - 22932*root(7290*a^10*b^
4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*
b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^27*b^15*sin
(c/2 + (d*x)/2) - 6552*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*
a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*
a^2*b^8*d^2 + b^8, d, k)^2*a^29*b^13*sin(c/2 + (d*x)/2) + 3348*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 364
5*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3
645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^31*b^11*sin(c/2 + (d*x)/2) - 576*root(729
0*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 1
2393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^33
*b^9*sin(c/2 + (d*x)/2) + 36*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6
- 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2
+ 135*a^2*b^8*d^2 + b^8, d, k)^2*a^35*b^7*sin(c/2 + (d*x)/2) + 1080*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^
4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^3*b^40*sin(c/2 + (d*x)/2) - 6048*roo
t(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^
6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3
*a^5*b^38*sin(c/2 + (d*x)/2) - 23625*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*
b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*
b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^7*b^36*sin(c/2 + (d*x)/2) + 361044*root(7290*a^10*b^4*d^6 - 7290*a^
8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*
a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^9*b^34*sin(c/2 + (d*x)/2)
- 1757511*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^3*a^11*b^32*sin(c/2 + (d*x)/2) + 5066334*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2
*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^
8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^13*b^30*sin(c/2 + (d*x)/2) - 9830457*root(7290*a^10
*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a
^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^15*b^28*
sin(c/2 + (d*x)/2) + 13374504*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6
- 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2
+ 135*a^2*b^8*d^2 + b^8, d, k)^3*a^17*b^26*sin(c/2 + (d*x)/2) - 12675663*root(7290*a^10*b^4*d^6 - 7290*a^8*b^
6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*
b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^19*b^24*sin(c/2 + (d*x)/2) + 7
729722*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 7
29*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^
8, d, k)^3*a^21*b^22*sin(c/2 + (d*x)/2) - 1942083*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^
6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d
^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^23*b^20*sin(c/2 + (d*x)/2) - 1366092*root(7290*a^10*b^
4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*
b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^25*b^18*sin
(c/2 + (d*x)/2) + 1796067*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 7
29*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 1
35*a^2*b^8*d^2 + b^8, d, k)^3*a^27*b^16*sin(c/2 + (d*x)/2) - 993006*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^
4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^29*b^14*sin(c/2 + (d*x)/2) + 318789*
root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14
*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k
)^3*a^31*b^12*sin(c/2 + (d*x)/2) - 57456*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*
a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*
a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^33*b^10*sin(c/2 + (d*x)/2) + 4347*root(7290*a^10*b^4*d^6 - 7290
*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 36
45*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^35*b^8*sin(c/2 + (d*x)/
2) + 54*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 +
729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b
^8, d, k)^3*a^37*b^6*sin(c/2 + (d*x)/2) + 648*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^3*b^41*sin(c/2 + (d*x)/2) - 7776*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^5*b^39*sin(c/2 + (d
*x)/2) + 35964*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10
*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*
d^2 + b^8, d, k)^4*a^7*b^37*sin(c/2 + (d*x)/2) - 46656*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b
^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*
b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^9*b^35*sin(c/2 + (d*x)/2) - 311040*root(7290*a^10
*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a
^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^11*b^33*
sin(c/2 + (d*x)/2) + 2068416*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6
- 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2
+ 135*a^2*b^8*d^2 + b^8, d, k)^4*a^13*b^31*sin(c/2 + (d*x)/2) - 6722352*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*
d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^
4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^15*b^29*sin(c/2 + (d*x)/2) + 147
58848*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 72
9*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8
, d, k)^4*a^17*b^27*sin(c/2 + (d*x)/2) - 23907312*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^
6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d
^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^19*b^25*sin(c/2 + (d*x)/2) + 29652480*root(7290*a^10*b
^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6
*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^21*b^23*si
n(c/2 + (d*x)/2) - 28633176*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)^4*a^23*b^21*sin(c/2 + (d*x)/2) + 21632832*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*
d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^
4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^25*b^19*sin(c/2 + (d*x)/2) - 127
37088*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 72
9*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8
, d, k)^4*a^27*b^17*sin(c/2 + (d*x)/2) + 5769792*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6
+ 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^
4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^29*b^15*sin(c/2 + (d*x)/2) - 1963440*root(7290*a^10*b^4
*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b
^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^31*b^13*sin(
c/2 + (d*x)/2) + 482112*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729
*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135
*a^2*b^8*d^2 + b^8, d, k)^4*a^33*b^11*sin(c/2 + (d*x)/2) - 79704*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3
645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^35*b^9*sin(c/2 + (d*x)/2) + 7776*root(7
290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^
37*b^7*sin(c/2 + (d*x)/2) - 324*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d
^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d
^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^39*b^5*sin(c/2 + (d*x)/2) + 243*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^
6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*
d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^5*b^40*sin(c/2 + (d*x)/2) - 4374*r
oot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*
d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)
^5*a^7*b^38*sin(c/2 + (d*x)/2) + 37179*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^
6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^
4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^9*b^36*sin(c/2 + (d*x)/2) - 198288*root(7290*a^10*b^4*d^6 - 7290*
a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 364
5*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^11*b^34*sin(c/2 + (d*x)/
2) + 743580*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^
6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2
+ b^8, d, k)^5*a^13*b^32*sin(c/2 + (d*x)/2) - 2082024*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b
^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*
b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^15*b^30*sin(c/2 + (d*x)/2) + 4511052*root(7290*a^
10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393
*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^17*b^2
8*sin(c/2 + (d*x)/2) - 7733232*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^
6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^
2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^19*b^26*sin(c/2 + (d*x)/2) + 10633194*root(7290*a^10*b^4*d^6 - 7290*a^8*b
^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8
*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^21*b^24*sin(c/2 + (d*x)/2) -
11814660*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 +
729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^5*a^23*b^22*sin(c/2 + (d*x)/2) + 10633194*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2
*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^
8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^25*b^20*sin(c/2 + (d*x)/2) - 7733232*root(7290*a^10
*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a
^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^27*b^18*
sin(c/2 + (d*x)/2) + 4511052*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6
- 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2
+ 135*a^2*b^8*d^2 + b^8, d, k)^5*a^29*b^16*sin(c/2 + (d*x)/2) - 2082024*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*
d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^
4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^31*b^14*sin(c/2 + (d*x)/2) + 743
580*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*
a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8,
d, k)^5*a^33*b^12*sin(c/2 + (d*x)/2) - 198288*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^35*b^10*sin(c/2 + (d*x)/2) + 37179*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^
4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^37*b^8*sin(c/2 +
(d*x)/2) - 4374*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^1
0*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8
*d^2 + b^8, d, k)^5*a^39*b^6*sin(c/2 + (d*x)/2) + 243*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^
2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b
^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^41*b^4*sin(c/2 + (d*x)/2) + 24*root(7290*a^10*b^4*
d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^
6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a*b^40*sin(c/2 +
(d*x)/2) - 57*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*
d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d
^2 + b^8, d, k)*a^2*b^39*cos(c/2 + (d*x)/2) + 846*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^
6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d
^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^4*b^37*cos(c/2 + (d*x)/2) - 5859*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^
4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^6*b^35*cos(c/2 + (d
*x)/2) + 25116*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10
*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*
d^2 + b^8, d, k)*a^8*b^33*cos(c/2 + (d*x)/2) - 74529*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2
*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^
8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^10*b^31*cos(c/2 + (d*x)/2) + 162162*root(7290*a^10*b^
4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*
b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^12*b^29*cos(c
/2 + (d*x)/2) - 267267*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*
a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*
a^2*b^8*d^2 + b^8, d, k)*a^14*b^27*cos(c/2 + (d*x)/2) + 339768*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 364
5*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3
645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^16*b^25*cos(c/2 + (d*x)/2) - 335907*root(72
90*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^18*
b^23*cos(c/2 + (d*x)/2) + 258258*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*
d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*
d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^20*b^21*cos(c/2 + (d*x)/2) - 153153*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6
*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b
^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^22*b^19*cos(c/2 + (d*x)/2) + 6879
6*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^
14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d,
k)*a^24*b^17*cos(c/2 + (d*x)/2) - 22659*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*
a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*
a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^26*b^15*cos(c/2 + (d*x)/2) + 5166*root(7290*a^10*b^4*d^6 - 7290*a
^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645
*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^28*b^13*cos(c/2 + (d*x)/2)
- 729*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 72
9*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8
, d, k)*a^30*b^11*cos(c/2 + (d*x)/2) + 48*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645
*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135
*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^32*b^9*cos(c/2 + (d*x)/2)))/cos(c/2 + (d*x)/2))*root(7290*a^10*b
^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6
*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k), k, 1, 6))/(a^
4*d*cos(c/2 + (d*x)/2)^6 + b^4*d*cos(c/2 + (d*x)/2)^6 - a^4*d*sin(c/2 + (d*x)/2)^6 - b^4*d*sin(c/2 + (d*x)/2)^
6 - 2*a^2*b^2*d*cos(c/2 + (d*x)/2)^6 + 2*a^2*b^2*d*sin(c/2 + (d*x)/2)^6 + 3*a^4*d*cos(c/2 + (d*x)/2)^2*sin(c/2
+ (d*x)/2)^4 - 3*a^4*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2 + 3*b^4*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*
x)/2)^4 - 3*b^4*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2 - 6*a^2*b^2*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)
/2)^4 + 6*a^2*b^2*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2) - (8*a*b^2*cos(c/2 + (d*x)/2)*sin(c/2 + (d*x)/2
)^5)/(a^4*d*cos(c/2 + (d*x)/2)^6 + b^4*d*cos(c/2 + (d*x)/2)^6 - a^4*d*sin(c/2 + (d*x)/2)^6 - b^4*d*sin(c/2 + (
d*x)/2)^6 - 2*a^2*b^2*d*cos(c/2 + (d*x)/2)^6 + 2*a^2*b^2*d*sin(c/2 + (d*x)/2)^6 + 3*a^4*d*cos(c/2 + (d*x)/2)^2
*sin(c/2 + (d*x)/2)^4 - 3*a^4*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2 + 3*b^4*d*cos(c/2 + (d*x)/2)^2*sin(c
/2 + (d*x)/2)^4 - 3*b^4*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2 - 6*a^2*b^2*d*cos(c/2 + (d*x)/2)^2*sin(c/2
+ (d*x)/2)^4 + 6*a^2*b^2*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2) - (8*a*b^2*cos(c/2 + (d*x)/2)^5*sin(c/2
+ (d*x)/2))/(a^4*d*cos(c/2 + (d*x)/2)^6 + b^4*d*cos(c/2 + (d*x)/2)^6 - a^4*d*sin(c/2 + (d*x)/2)^6 - b^4*d*sin
(c/2 + (d*x)/2)^6 - 2*a^2*b^2*d*cos(c/2 + (d*x)/2)^6 + 2*a^2*b^2*d*sin(c/2 + (d*x)/2)^6 + 3*a^4*d*cos(c/2 + (d
*x)/2)^2*sin(c/2 + (d*x)/2)^4 - 3*a^4*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2 + 3*b^4*d*cos(c/2 + (d*x)/2)
^2*sin(c/2 + (d*x)/2)^4 - 3*b^4*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2 - 6*a^2*b^2*d*cos(c/2 + (d*x)/2)^2
*sin(c/2 + (d*x)/2)^4 + 6*a^2*b^2*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2) + (40*a*b^2*cos(c/2 + (d*x)/2)^
3*sin(c/2 + (d*x)/2)^3)/(3*(a^4*d*cos(c/2 + (d*x)/2)^6 + b^4*d*cos(c/2 + (d*x)/2)^6 - a^4*d*sin(c/2 + (d*x)/2)
^6 - b^4*d*sin(c/2 + (d*x)/2)^6 - 2*a^2*b^2*d*cos(c/2 + (d*x)/2)^6 + 2*a^2*b^2*d*sin(c/2 + (d*x)/2)^6 + 3*a^4*
d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 - 3*a^4*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2 + 3*b^4*d*cos(
c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 - 3*b^4*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2 - 6*a^2*b^2*d*cos(c/
2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 + 6*a^2*b^2*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2)) - (4*a^2*b*cos(c
/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2)/(a^4*d*cos(c/2 + (d*x)/2)^6 + b^4*d*cos(c/2 + (d*x)/2)^6 - a^4*d*sin(c/2
+ (d*x)/2)^6 - b^4*d*sin(c/2 + (d*x)/2)^6 - 2*a^2*b^2*d*cos(c/2 + (d*x)/2)^6 + 2*a^2*b^2*d*sin(c/2 + (d*x)/2)
^6 + 3*a^4*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 - 3*a^4*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2 + 3
*b^4*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 - 3*b^4*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2 - 6*a^2*b
^2*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 + 6*a^2*b^2*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2) - (2*a
^2*b^2*cos(c/2 + (d*x)/2)^6*symsum(log(-(8192*(6*a^2*b^38*cos(c/2 + (d*x)/2) - 20*a*b^39*sin(c/2 + (d*x)/2) -
84*a^4*b^36*cos(c/2 + (d*x)/2) + 546*a^6*b^34*cos(c/2 + (d*x)/2) - 2184*a^8*b^32*cos(c/2 + (d*x)/2) + 6006*a^1
0*b^30*cos(c/2 + (d*x)/2) - 12012*a^12*b^28*cos(c/2 + (d*x)/2) + 18018*a^14*b^26*cos(c/2 + (d*x)/2) - 20592*a^
16*b^24*cos(c/2 + (d*x)/2) + 18018*a^18*b^22*cos(c/2 + (d*x)/2) - 12012*a^20*b^20*cos(c/2 + (d*x)/2) + 6006*a^
22*b^18*cos(c/2 + (d*x)/2) - 2184*a^24*b^16*cos(c/2 + (d*x)/2) + 546*a^26*b^14*cos(c/2 + (d*x)/2) - 84*a^28*b^
12*cos(c/2 + (d*x)/2) + 6*a^30*b^10*cos(c/2 + (d*x)/2) + 280*a^3*b^37*sin(c/2 + (d*x)/2) - 1820*a^5*b^35*sin(c
/2 + (d*x)/2) + 7280*a^7*b^33*sin(c/2 + (d*x)/2) - 20020*a^9*b^31*sin(c/2 + (d*x)/2) + 40040*a^11*b^29*sin(c/2
+ (d*x)/2) - 60060*a^13*b^27*sin(c/2 + (d*x)/2) + 68640*a^15*b^25*sin(c/2 + (d*x)/2) - 60060*a^17*b^23*sin(c/
2 + (d*x)/2) + 40040*a^19*b^21*sin(c/2 + (d*x)/2) - 20020*a^21*b^19*sin(c/2 + (d*x)/2) + 7280*a^23*b^17*sin(c/
2 + (d*x)/2) - 1820*a^25*b^15*sin(c/2 + (d*x)/2) + 280*a^27*b^13*sin(c/2 + (d*x)/2) - 20*a^29*b^11*sin(c/2 + (
d*x)/2) - 588*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*
d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d
^2 + b^8, d, k)*a^3*b^38*sin(c/2 + (d*x)/2) + 5715*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d
^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*
d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^5*b^36*sin(c/2 + (d*x)/2) - 31710*root(7290*a^10*b^4*d^
6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*
d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^7*b^34*sin(c/2 +
(d*x)/2) + 116025*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b
^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b
^8*d^2 + b^8, d, k)*a^9*b^32*sin(c/2 + (d*x)/2) - 301392*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12
*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^
4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^11*b^30*sin(c/2 + (d*x)/2) + 579579*root(7290*a^1
0*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*
a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^13*b^28*s
in(c/2 + (d*x)/2) - 845130*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)*a^15*b^26*sin(c/2 + (d*x)/2) + 945945*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 -
3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4
+ 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^17*b^24*sin(c/2 + (d*x)/2) - 815100*roo
t(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^
6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a
^19*b^22*sin(c/2 + (d*x)/2) + 537537*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*
b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*
b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^21*b^20*sin(c/2 + (d*x)/2) - 266994*root(7290*a^10*b^4*d^6 - 7290*a^8
*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a
^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^23*b^18*sin(c/2 + (d*x)/2) +
96915*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 72
9*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8
, d, k)*a^25*b^16*sin(c/2 + (d*x)/2) - 24360*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3
645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^27*b^14*sin(c/2 + (d*x)/2) + 3825*root(7290*a^10*b^4*d^6 - 72
90*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 +
3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^29*b^12*sin(c/2 + (d*x)
/2) - 294*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)*a^31*b^10*sin(c/2 + (d*x)/2) + 3*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3
645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^33*b^8*sin(c/2 + (d*x)/2) + 36*root(7290*a^10*b^4*d^6 - 7290*
a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 364
5*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^2*b^40*cos(c/2 + (d*x)/2
) - 1143*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 +
729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^2*a^4*b^38*cos(c/2 + (d*x)/2) + 11853*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6
+ 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^
4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^6*b^36*cos(c/2 + (d*x)/2) - 66087*root(7290*a^10*b^4*d^
6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*
d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^8*b^34*cos(c/2
+ (d*x)/2) + 235053*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4
*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2
*b^8*d^2 + b^8, d, k)^2*a^10*b^32*cos(c/2 + (d*x)/2) - 577395*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645
*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 36
45*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^12*b^30*cos(c/2 + (d*x)/2) + 1018017*root(
7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a
^14*b^28*cos(c/2 + (d*x)/2) - 1303731*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6
*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4
*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^16*b^26*cos(c/2 + (d*x)/2) + 1193049*root(7290*a^10*b^4*d^6 - 7290
*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 36
45*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^18*b^24*cos(c/2 + (d*x)
/2) - 724581*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d
^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^
2 + b^8, d, k)^2*a^20*b^22*cos(c/2 + (d*x)/2) + 207207*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b
^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*
b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^22*b^20*cos(c/2 + (d*x)/2) + 85995*root(7290*a^10
*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a
^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^24*b^18*
cos(c/2 + (d*x)/2) - 133497*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)^2*a^26*b^16*cos(c/2 + (d*x)/2) + 75663*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d
^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^28*b^14*cos(c/2 + (d*x)/2) - 24597*
root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14
*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k
)^2*a^30*b^12*cos(c/2 + (d*x)/2) + 4527*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a
^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a
^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^32*b^10*cos(c/2 + (d*x)/2) - 369*root(7290*a^10*b^4*d^6 - 7290*a
^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645
*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^34*b^8*cos(c/2 + (d*x)/2)
- 3078*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 +
729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b
^8, d, k)^3*a^4*b^39*cos(c/2 + (d*x)/2) + 33453*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6
+ 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4
- 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^6*b^37*cos(c/2 + (d*x)/2) - 147744*root(7290*a^10*b^4*d^
6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*
d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^8*b^35*cos(c/2
+ (d*x)/2) + 279531*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4
*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2
*b^8*d^2 + b^8, d, k)^3*a^10*b^33*cos(c/2 + (d*x)/2) + 191646*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645
*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 36
45*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^12*b^31*cos(c/2 + (d*x)/2) - 2542995*root(
7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a
^14*b^29*cos(c/2 + (d*x)/2) + 7459452*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6
*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4
*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^16*b^27*cos(c/2 + (d*x)/2) - 13193037*root(7290*a^10*b^4*d^6 - 729
0*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3
645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^18*b^25*cos(c/2 + (d*x
)/2) + 16054038*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^1
0*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8
*d^2 + b^8, d, k)^3*a^20*b^23*cos(c/2 + (d*x)/2) - 13888017*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a
^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645
*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^22*b^21*cos(c/2 + (d*x)/2) + 8432424*root(72
90*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^2
4*b^19*cos(c/2 + (d*x)/2) - 3339063*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b
^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b
^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^26*b^17*cos(c/2 + (d*x)/2) + 633906*root(7290*a^10*b^4*d^6 - 7290*a^
8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*
a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^28*b^15*cos(c/2 + (d*x)/2)
+ 109431*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^3*a^30*b^13*cos(c/2 + (d*x)/2) - 104004*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*
d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8
*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^32*b^11*cos(c/2 + (d*x)/2) + 26649*root(7290*a^10*b^
4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*
b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^34*b^9*cos(
c/2 + (d*x)/2) - 2592*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a
^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a
^2*b^8*d^2 + b^8, d, k)^3*a^36*b^7*cos(c/2 + (d*x)/2) + 891*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a
^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645
*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^4*b^40*cos(c/2 + (d*x)/2) - 12879*root(7290*
a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 123
93*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^6*b^
38*cos(c/2 + (d*x)/2) + 84807*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6
- 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2
+ 135*a^2*b^8*d^2 + b^8, d, k)^4*a^8*b^36*cos(c/2 + (d*x)/2) - 332424*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d
^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4
*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^10*b^34*cos(c/2 + (d*x)/2) + 8407
80*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a
^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d
, k)^4*a^12*b^32*cos(c/2 + (d*x)/2) - 1340388*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^14*b^30*cos(c/2 + (d*x)/2) + 972972*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d
^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^16*b^28*cos(c/2
+ (d*x)/2) + 1187784*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^
4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^
2*b^8*d^2 + b^8, d, k)^4*a^18*b^26*cos(c/2 + (d*x)/2) - 4934358*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 36
45*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^20*b^24*cos(c/2 + (d*x)/2) + 8455590*roo
t(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^
6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4
*a^22*b^22*cos(c/2 + (d*x)/2) - 9660222*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a
^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a
^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^24*b^20*cos(c/2 + (d*x)/2) + 8061768*root(7290*a^10*b^4*d^6 - 72
90*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 +
3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^26*b^18*cos(c/2 + (d*
x)/2) - 5041764*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^1
0*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8
*d^2 + b^8, d, k)^4*a^28*b^16*cos(c/2 + (d*x)/2) + 2360988*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^
12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*
a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^30*b^14*cos(c/2 + (d*x)/2) - 811620*root(7290
*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12
393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^32*
b^12*cos(c/2 + (d*x)/2) + 196344*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*
d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*
d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^34*b^10*cos(c/2 + (d*x)/2) - 30861*root(7290*a^10*b^4*d^6 - 7290*a^8*b^
6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*
b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^36*b^8*cos(c/2 + (d*x)/2) + 26
73*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a
^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d
, k)^4*a^38*b^6*cos(c/2 + (d*x)/2) - 81*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a
^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a
^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^40*b^4*cos(c/2 + (d*x)/2) + 972*root(7290*a^10*b^4*d^6 - 7290*a^
8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*
a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^4*b^41*cos(c/2 + (d*x)/2)
- 18225*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 +
729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b
^8, d, k)^5*a^6*b^39*cos(c/2 + (d*x)/2) + 161838*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6
+ 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^
4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^8*b^37*cos(c/2 + (d*x)/2) - 904689*root(7290*a^10*b^4*d
^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6
*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^10*b^35*cos(c/
2 + (d*x)/2) + 3569184*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*
a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*
a^2*b^8*d^2 + b^8, d, k)^5*a^12*b^33*cos(c/2 + (d*x)/2) - 10558836*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 -
3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4
+ 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^14*b^31*cos(c/2 + (d*x)/2) + 24290280
*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^1
4*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d,
k)^5*a^16*b^29*cos(c/2 + (d*x)/2) - 44466084*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3
645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^18*b^27*cos(c/2 + (d*x)/2) + 65732472*root(7290*a^10*b^4*d^
6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*
d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^20*b^25*cos(c/2
+ (d*x)/2) - 79158222*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*
a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*
a^2*b^8*d^2 + b^8, d, k)^5*a^22*b^23*cos(c/2 + (d*x)/2) + 77976756*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 -
3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4
+ 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^24*b^21*cos(c/2 + (d*x)/2) - 62832510
*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^1
4*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d,
k)^5*a^26*b^19*cos(c/2 + (d*x)/2) + 41243904*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3
645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^28*b^17*cos(c/2 + (d*x)/2) - 21861252*root(7290*a^10*b^4*d^
6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*
d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^30*b^15*cos(c/2
+ (d*x)/2) + 9220392*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a
^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a
^2*b^8*d^2 + b^8, d, k)^5*a^32*b^13*cos(c/2 + (d*x)/2) - 3023892*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3
645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^34*b^11*cos(c/2 + (d*x)/2) + 743580*roo
t(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^
6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5
*a^36*b^9*cos(c/2 + (d*x)/2) - 129033*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6
*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4
*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^38*b^7*cos(c/2 + (d*x)/2) + 14094*root(7290*a^10*b^4*d^6 - 7290*a^
8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*
a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^40*b^5*cos(c/2 + (d*x)/2)
- 729*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 72
9*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8
, d, k)^5*a^42*b^3*cos(c/2 + (d*x)/2) - 936*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 36
45*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 1
35*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^3*b^39*sin(c/2 + (d*x)/2) + 13032*root(7290*a^10*b^4*d^6 - 7
290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 +
3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^5*b^37*sin(c/2 + (d*
x)/2) - 84132*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*
d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d
^2 + b^8, d, k)^2*a^7*b^35*sin(c/2 + (d*x)/2) + 333648*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b
^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*
b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^9*b^33*sin(c/2 + (d*x)/2) - 907452*root(7290*a^10
*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a
^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^11*b^31*
sin(c/2 + (d*x)/2) + 1788696*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6
- 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2
+ 135*a^2*b^8*d^2 + b^8, d, k)^2*a^13*b^29*sin(c/2 + (d*x)/2) - 2630628*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*
d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^
4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^15*b^27*sin(c/2 + (d*x)/2) + 292
4064*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729
*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8,
d, k)^2*a^17*b^25*sin(c/2 + (d*x)/2) - 2455596*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6
+ 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4
- 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^19*b^23*sin(c/2 + (d*x)/2) + 1534104*root(7290*a^10*b^4*
d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^
6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^21*b^21*sin(c
/2 + (d*x)/2) - 684684*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*
a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*
a^2*b^8*d^2 + b^8, d, k)^2*a^23*b^19*sin(c/2 + (d*x)/2) + 196560*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3
645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^25*b^17*sin(c/2 + (d*x)/2) - 22932*root
(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*
a^27*b^15*sin(c/2 + (d*x)/2) - 6552*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b
^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b
^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^29*b^13*sin(c/2 + (d*x)/2) + 3348*root(7290*a^10*b^4*d^6 - 7290*a^8*
b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^
8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^31*b^11*sin(c/2 + (d*x)/2) -
576*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729
*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8,
d, k)^2*a^33*b^9*sin(c/2 + (d*x)/2) + 36*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645
*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135
*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^35*b^7*sin(c/2 + (d*x)/2) + 1080*root(7290*a^10*b^4*d^6 - 7290
*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 36
45*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^3*b^40*sin(c/2 + (d*x)/
2) - 6048*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^3*a^5*b^38*sin(c/2 + (d*x)/2) - 23625*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^
6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d
^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^7*b^36*sin(c/2 + (d*x)/2) + 361044*root(7290*a^10*b^4*
d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^
6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^9*b^34*sin(c/
2 + (d*x)/2) - 1757511*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*
a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*
a^2*b^8*d^2 + b^8, d, k)^3*a^11*b^32*sin(c/2 + (d*x)/2) + 5066334*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 -
3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4
+ 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^13*b^30*sin(c/2 + (d*x)/2) - 9830457*r
oot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*
d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)
^3*a^15*b^28*sin(c/2 + (d*x)/2) + 13374504*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 364
5*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 13
5*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^17*b^26*sin(c/2 + (d*x)/2) - 12675663*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^
4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^19*b^24*sin(c/2 +
(d*x)/2) + 7729722*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4
*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2
*b^8*d^2 + b^8, d, k)^3*a^21*b^22*sin(c/2 + (d*x)/2) - 1942083*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 364
5*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3
645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^23*b^20*sin(c/2 + (d*x)/2) - 1366092*root
(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*
a^25*b^18*sin(c/2 + (d*x)/2) + 1796067*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^
6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^
4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^27*b^16*sin(c/2 + (d*x)/2) - 993006*root(7290*a^10*b^4*d^6 - 7290
*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 36
45*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^29*b^14*sin(c/2 + (d*x)
/2) + 318789*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d
^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^
2 + b^8, d, k)^3*a^31*b^12*sin(c/2 + (d*x)/2) - 57456*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^
2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b
^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^33*b^10*sin(c/2 + (d*x)/2) + 4347*root(7290*a^10*b
^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6
*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^35*b^8*sin
(c/2 + (d*x)/2) + 54*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^
4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^
2*b^8*d^2 + b^8, d, k)^3*a^37*b^6*sin(c/2 + (d*x)/2) + 648*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^
12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*
a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^3*b^41*sin(c/2 + (d*x)/2) - 7776*root(7290*a^
10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393
*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^5*b^39
*sin(c/2 + (d*x)/2) + 35964*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)^4*a^7*b^37*sin(c/2 + (d*x)/2) - 46656*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^
4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^9*b^35*sin(c/2 + (d*x)/2) - 311040*r
oot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*
d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)
^4*a^11*b^33*sin(c/2 + (d*x)/2) + 2068416*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645
*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135
*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^13*b^31*sin(c/2 + (d*x)/2) - 6722352*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^15*b^29*sin(c/2 + (
d*x)/2) + 14758848*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*
b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*
b^8*d^2 + b^8, d, k)^4*a^17*b^27*sin(c/2 + (d*x)/2) - 23907312*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 364
5*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3
645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^19*b^25*sin(c/2 + (d*x)/2) + 29652480*roo
t(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^
6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4
*a^21*b^23*sin(c/2 + (d*x)/2) - 28633176*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*
a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*
a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^23*b^21*sin(c/2 + (d*x)/2) + 21632832*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^25*b^19*sin(c/2 + (
d*x)/2) - 12737088*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*
b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*
b^8*d^2 + b^8, d, k)^4*a^27*b^17*sin(c/2 + (d*x)/2) + 5769792*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645
*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 36
45*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^29*b^15*sin(c/2 + (d*x)/2) - 1963440*root(
7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a
^31*b^13*sin(c/2 + (d*x)/2) + 482112*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*
b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*
b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^33*b^11*sin(c/2 + (d*x)/2) - 79704*root(7290*a^10*b^4*d^6 - 7290*a^
8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*
a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^35*b^9*sin(c/2 + (d*x)/2)
+ 7776*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 7
29*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^
8, d, k)^4*a^37*b^7*sin(c/2 + (d*x)/2) - 324*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3
645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^39*b^5*sin(c/2 + (d*x)/2) + 243*root(7290*a^10*b^4*d^6 - 72
90*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 +
3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^5*b^40*sin(c/2 + (d*x
)/2) - 4374*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^
6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2
+ b^8, d, k)^5*a^7*b^38*sin(c/2 + (d*x)/2) + 37179*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*
d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8
*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^9*b^36*sin(c/2 + (d*x)/2) - 198288*root(7290*a^10*b^
4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*
b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^11*b^34*sin
(c/2 + (d*x)/2) + 743580*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 72
9*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 13
5*a^2*b^8*d^2 + b^8, d, k)^5*a^13*b^32*sin(c/2 + (d*x)/2) - 2082024*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^
4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^15*b^30*sin(c/2 + (d*x)/2) + 4511052
*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^1
4*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d,
k)^5*a^17*b^28*sin(c/2 + (d*x)/2) - 7733232*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 36
45*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 1
35*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^19*b^26*sin(c/2 + (d*x)/2) + 10633194*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d
^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^21*b^24*sin(c/2
+ (d*x)/2) - 11814660*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a
^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a
^2*b^8*d^2 + b^8, d, k)^5*a^23*b^22*sin(c/2 + (d*x)/2) + 10633194*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 -
3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4
+ 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^25*b^20*sin(c/2 + (d*x)/2) - 7733232*r
oot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*
d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)
^5*a^27*b^18*sin(c/2 + (d*x)/2) + 4511052*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645
*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135
*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^29*b^16*sin(c/2 + (d*x)/2) - 2082024*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^31*b^14*sin(c/2 + (
d*x)/2) + 743580*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^
10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^
8*d^2 + b^8, d, k)^5*a^33*b^12*sin(c/2 + (d*x)/2) - 198288*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^
12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*
a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^35*b^10*sin(c/2 + (d*x)/2) + 37179*root(7290*
a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 123
93*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^37*b
^8*sin(c/2 + (d*x)/2) - 4374*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6
- 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2
+ 135*a^2*b^8*d^2 + b^8, d, k)^5*a^39*b^6*sin(c/2 + (d*x)/2) + 243*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 -
3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4
+ 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^41*b^4*sin(c/2 + (d*x)/2) + 24*root(7
290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a*b^
40*sin(c/2 + (d*x)/2) - 57*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)*a^2*b^39*cos(c/2 + (d*x)/2) + 846*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 364
5*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3
645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^4*b^37*cos(c/2 + (d*x)/2) - 5859*root(7290*
a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 123
93*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^6*b^35
*cos(c/2 + (d*x)/2) + 25116*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)*a^8*b^33*cos(c/2 + (d*x)/2) - 74529*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 -
3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4
+ 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^10*b^31*cos(c/2 + (d*x)/2) + 162162*root
(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^
12*b^29*cos(c/2 + (d*x)/2) - 267267*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b
^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b
^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^14*b^27*cos(c/2 + (d*x)/2) + 339768*root(7290*a^10*b^4*d^6 - 7290*a^8*
b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^
8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^16*b^25*cos(c/2 + (d*x)/2) - 3
35907*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 72
9*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8
, d, k)*a^18*b^23*cos(c/2 + (d*x)/2) + 258258*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^20*b^21*cos(c/2 + (d*x)/2) - 153153*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^22*b^19*cos(c/2 + (d
*x)/2) + 68796*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10
*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*
d^2 + b^8, d, k)*a^24*b^17*cos(c/2 + (d*x)/2) - 22659*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^
2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b
^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^26*b^15*cos(c/2 + (d*x)/2) + 5166*root(7290*a^10*b^4
*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b
^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^28*b^13*cos(c/
2 + (d*x)/2) - 729*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*
b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*
b^8*d^2 + b^8, d, k)*a^30*b^11*cos(c/2 + (d*x)/2) + 48*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b
^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*
b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^32*b^9*cos(c/2 + (d*x)/2)))/cos(c/2 + (d*x)/2))*roo
t(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^
6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k),
k, 1, 6))/(a^4*d*cos(c/2 + (d*x)/2)^6 + b^4*d*cos(c/2 + (d*x)/2)^6 - a^4*d*sin(c/2 + (d*x)/2)^6 - b^4*d*sin(c/
2 + (d*x)/2)^6 - 2*a^2*b^2*d*cos(c/2 + (d*x)/2)^6 + 2*a^2*b^2*d*sin(c/2 + (d*x)/2)^6 + 3*a^4*d*cos(c/2 + (d*x)
/2)^2*sin(c/2 + (d*x)/2)^4 - 3*a^4*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2 + 3*b^4*d*cos(c/2 + (d*x)/2)^2*
sin(c/2 + (d*x)/2)^4 - 3*b^4*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2 - 6*a^2*b^2*d*cos(c/2 + (d*x)/2)^2*si
n(c/2 + (d*x)/2)^4 + 6*a^2*b^2*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2) + (2*a^2*b^2*sin(c/2 + (d*x)/2)^6*
symsum(log(-(8192*(6*a^2*b^38*cos(c/2 + (d*x)/2) - 20*a*b^39*sin(c/2 + (d*x)/2) - 84*a^4*b^36*cos(c/2 + (d*x)/
2) + 546*a^6*b^34*cos(c/2 + (d*x)/2) - 2184*a^8*b^32*cos(c/2 + (d*x)/2) + 6006*a^10*b^30*cos(c/2 + (d*x)/2) -
12012*a^12*b^28*cos(c/2 + (d*x)/2) + 18018*a^14*b^26*cos(c/2 + (d*x)/2) - 20592*a^16*b^24*cos(c/2 + (d*x)/2) +
18018*a^18*b^22*cos(c/2 + (d*x)/2) - 12012*a^20*b^20*cos(c/2 + (d*x)/2) + 6006*a^22*b^18*cos(c/2 + (d*x)/2) -
2184*a^24*b^16*cos(c/2 + (d*x)/2) + 546*a^26*b^14*cos(c/2 + (d*x)/2) - 84*a^28*b^12*cos(c/2 + (d*x)/2) + 6*a^
30*b^10*cos(c/2 + (d*x)/2) + 280*a^3*b^37*sin(c/2 + (d*x)/2) - 1820*a^5*b^35*sin(c/2 + (d*x)/2) + 7280*a^7*b^3
3*sin(c/2 + (d*x)/2) - 20020*a^9*b^31*sin(c/2 + (d*x)/2) + 40040*a^11*b^29*sin(c/2 + (d*x)/2) - 60060*a^13*b^2
7*sin(c/2 + (d*x)/2) + 68640*a^15*b^25*sin(c/2 + (d*x)/2) - 60060*a^17*b^23*sin(c/2 + (d*x)/2) + 40040*a^19*b^
21*sin(c/2 + (d*x)/2) - 20020*a^21*b^19*sin(c/2 + (d*x)/2) + 7280*a^23*b^17*sin(c/2 + (d*x)/2) - 1820*a^25*b^1
5*sin(c/2 + (d*x)/2) + 280*a^27*b^13*sin(c/2 + (d*x)/2) - 20*a^29*b^11*sin(c/2 + (d*x)/2) - 588*root(7290*a^10
*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a
^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^3*b^38*sin
(c/2 + (d*x)/2) + 5715*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*
a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*
a^2*b^8*d^2 + b^8, d, k)*a^5*b^36*sin(c/2 + (d*x)/2) - 31710*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*
a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 364
5*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^7*b^34*sin(c/2 + (d*x)/2) + 116025*root(7290*
a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 123
93*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^9*b^32
*sin(c/2 + (d*x)/2) - 301392*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6
- 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2
+ 135*a^2*b^8*d^2 + b^8, d, k)*a^11*b^30*sin(c/2 + (d*x)/2) + 579579*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d
^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^13*b^28*sin(c/2 + (d*x)/2) - 845130*r
oot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*
d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)
*a^15*b^26*sin(c/2 + (d*x)/2) + 945945*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^
6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^
4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^17*b^24*sin(c/2 + (d*x)/2) - 815100*root(7290*a^10*b^4*d^6 - 7290*a
^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645
*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^19*b^22*sin(c/2 + (d*x)/2)
+ 537537*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 +
729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)*a^21*b^20*sin(c/2 + (d*x)/2) - 266994*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6
+ 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^
4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^23*b^18*sin(c/2 + (d*x)/2) + 96915*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d
^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^25*b^16*sin(c/2 +
(d*x)/2) - 24360*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^
10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^
8*d^2 + b^8, d, k)*a^27*b^14*sin(c/2 + (d*x)/2) + 3825*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b
^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*
b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^29*b^12*sin(c/2 + (d*x)/2) - 294*root(7290*a^10*b^4
*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b
^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^31*b^10*sin(c/
2 + (d*x)/2) + 3*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^
10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^
8*d^2 + b^8, d, k)*a^33*b^8*sin(c/2 + (d*x)/2) + 36*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*
d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8
*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^2*b^40*cos(c/2 + (d*x)/2) - 1143*root(7290*a^10*b^4*
d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^
6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^4*b^38*cos(c/
2 + (d*x)/2) + 11853*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^
4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^
2*b^8*d^2 + b^8, d, k)^2*a^6*b^36*cos(c/2 + (d*x)/2) - 66087*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*
a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 364
5*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^8*b^34*cos(c/2 + (d*x)/2) + 235053*root(729
0*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 1
2393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^10
*b^32*cos(c/2 + (d*x)/2) - 577395*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8
*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6
*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^12*b^30*cos(c/2 + (d*x)/2) + 1018017*root(7290*a^10*b^4*d^6 - 7290*a^8
*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a
^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^14*b^28*cos(c/2 + (d*x)/2)
- 1303731*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^2*a^16*b^26*cos(c/2 + (d*x)/2) + 1193049*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2
*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^
8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^18*b^24*cos(c/2 + (d*x)/2) - 724581*root(7290*a^10*
b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^
6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^20*b^22*c
os(c/2 + (d*x)/2) + 207207*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)^2*a^22*b^20*cos(c/2 + (d*x)/2) + 85995*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^
4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^24*b^18*cos(c/2 + (d*x)/2) - 133497*
root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14
*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k
)^2*a^26*b^16*cos(c/2 + (d*x)/2) + 75663*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*
a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*
a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^28*b^14*cos(c/2 + (d*x)/2) - 24597*root(7290*a^10*b^4*d^6 - 729
0*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3
645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^30*b^12*cos(c/2 + (d*x
)/2) + 4527*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^
6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2
+ b^8, d, k)^2*a^32*b^10*cos(c/2 + (d*x)/2) - 369*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d
^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*
d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^34*b^8*cos(c/2 + (d*x)/2) - 3078*root(7290*a^10*b^4*d
^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6
*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^4*b^39*cos(c/2
+ (d*x)/2) + 33453*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4
*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2
*b^8*d^2 + b^8, d, k)^3*a^6*b^37*cos(c/2 + (d*x)/2) - 147744*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*
a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 364
5*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^8*b^35*cos(c/2 + (d*x)/2) + 279531*root(729
0*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 1
2393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^10
*b^33*cos(c/2 + (d*x)/2) + 191646*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8
*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6
*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^12*b^31*cos(c/2 + (d*x)/2) - 2542995*root(7290*a^10*b^4*d^6 - 7290*a^8
*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a
^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^14*b^29*cos(c/2 + (d*x)/2)
+ 7459452*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^3*a^16*b^27*cos(c/2 + (d*x)/2) - 13193037*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^
2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b
^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^18*b^25*cos(c/2 + (d*x)/2) + 16054038*root(7290*a^
10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393
*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^20*b^2
3*cos(c/2 + (d*x)/2) - 13888017*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d
^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d
^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^22*b^21*cos(c/2 + (d*x)/2) + 8432424*root(7290*a^10*b^4*d^6 - 7290*a^8*b
^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8
*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^24*b^19*cos(c/2 + (d*x)/2) -
3339063*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 +
729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b
^8, d, k)^3*a^26*b^17*cos(c/2 + (d*x)/2) + 633906*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^
6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d
^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^28*b^15*cos(c/2 + (d*x)/2) + 109431*root(7290*a^10*b^4
*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b
^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^30*b^13*cos(
c/2 + (d*x)/2) - 104004*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729
*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135
*a^2*b^8*d^2 + b^8, d, k)^3*a^32*b^11*cos(c/2 + (d*x)/2) + 26649*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3
645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^34*b^9*cos(c/2 + (d*x)/2) - 2592*root(7
290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^
36*b^7*cos(c/2 + (d*x)/2) + 891*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d
^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d
^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^4*b^40*cos(c/2 + (d*x)/2) - 12879*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*
d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^
4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^6*b^38*cos(c/2 + (d*x)/2) + 8480
7*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^
14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d,
k)^4*a^8*b^36*cos(c/2 + (d*x)/2) - 332424*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 364
5*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 13
5*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^10*b^34*cos(c/2 + (d*x)/2) + 840780*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^12*b^32*cos(c/2 + (
d*x)/2) - 1340388*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b
^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b
^8*d^2 + b^8, d, k)^4*a^14*b^30*cos(c/2 + (d*x)/2) + 972972*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a
^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645
*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^16*b^28*cos(c/2 + (d*x)/2) + 1187784*root(72
90*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^1
8*b^26*cos(c/2 + (d*x)/2) - 4934358*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b
^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b
^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^20*b^24*cos(c/2 + (d*x)/2) + 8455590*root(7290*a^10*b^4*d^6 - 7290*a
^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645
*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^22*b^22*cos(c/2 + (d*x)/2
) - 9660222*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^
6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2
+ b^8, d, k)^4*a^24*b^20*cos(c/2 + (d*x)/2) + 8061768*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b
^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*
b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^26*b^18*cos(c/2 + (d*x)/2) - 5041764*root(7290*a^
10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393
*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^28*b^1
6*cos(c/2 + (d*x)/2) + 2360988*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^
6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^
2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^30*b^14*cos(c/2 + (d*x)/2) - 811620*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6
*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b
^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^32*b^12*cos(c/2 + (d*x)/2) + 19
6344*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729
*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8,
d, k)^4*a^34*b^10*cos(c/2 + (d*x)/2) - 30861*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^36*b^8*cos(c/2 + (d*x)/2) + 2673*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^38*b^6*cos(c/2 + (d
*x)/2) - 81*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^
6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2
+ b^8, d, k)^4*a^40*b^4*cos(c/2 + (d*x)/2) + 972*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^
6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d
^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^4*b^41*cos(c/2 + (d*x)/2) - 18225*root(7290*a^10*b^4*d
^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6
*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^6*b^39*cos(c/2
+ (d*x)/2) + 161838*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^
4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^
2*b^8*d^2 + b^8, d, k)^5*a^8*b^37*cos(c/2 + (d*x)/2) - 904689*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645
*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 36
45*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^10*b^35*cos(c/2 + (d*x)/2) + 3569184*root(
7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a
^12*b^33*cos(c/2 + (d*x)/2) - 10558836*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^
6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^
4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^14*b^31*cos(c/2 + (d*x)/2) + 24290280*root(7290*a^10*b^4*d^6 - 72
90*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 +
3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^16*b^29*cos(c/2 + (d*
x)/2) - 44466084*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^
10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^
8*d^2 + b^8, d, k)^5*a^18*b^27*cos(c/2 + (d*x)/2) + 65732472*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*
a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 364
5*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^20*b^25*cos(c/2 + (d*x)/2) - 79158222*root(
7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a
^22*b^23*cos(c/2 + (d*x)/2) + 77976756*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^
6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^
4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^24*b^21*cos(c/2 + (d*x)/2) - 62832510*root(7290*a^10*b^4*d^6 - 72
90*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 +
3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^26*b^19*cos(c/2 + (d*
x)/2) + 41243904*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^
10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^
8*d^2 + b^8, d, k)^5*a^28*b^17*cos(c/2 + (d*x)/2) - 21861252*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*
a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 364
5*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^30*b^15*cos(c/2 + (d*x)/2) + 9220392*root(7
290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^
32*b^13*cos(c/2 + (d*x)/2) - 3023892*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*
b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*
b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^34*b^11*cos(c/2 + (d*x)/2) + 743580*root(7290*a^10*b^4*d^6 - 7290*a
^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645
*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^36*b^9*cos(c/2 + (d*x)/2)
- 129033*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^5*a^38*b^7*cos(c/2 + (d*x)/2) + 14094*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^
6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d
^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^40*b^5*cos(c/2 + (d*x)/2) - 729*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d
^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^42*b^3*cos(c/2 +
(d*x)/2) - 936*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^1
0*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8
*d^2 + b^8, d, k)^2*a^3*b^39*sin(c/2 + (d*x)/2) + 13032*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*
b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4
*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^5*b^37*sin(c/2 + (d*x)/2) - 84132*root(7290*a^10
*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a
^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^7*b^35*s
in(c/2 + (d*x)/2) + 333648*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)^2*a^9*b^33*sin(c/2 + (d*x)/2) - 907452*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^
4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^11*b^31*sin(c/2 + (d*x)/2) + 1788696
*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^1
4*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d,
k)^2*a^13*b^29*sin(c/2 + (d*x)/2) - 2630628*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 36
45*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 1
35*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^15*b^27*sin(c/2 + (d*x)/2) + 2924064*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^
4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^17*b^25*sin(c/2 +
(d*x)/2) - 2455596*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4
*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2
*b^8*d^2 + b^8, d, k)^2*a^19*b^23*sin(c/2 + (d*x)/2) + 1534104*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 364
5*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3
645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^21*b^21*sin(c/2 + (d*x)/2) - 684684*root(
7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a
^23*b^19*sin(c/2 + (d*x)/2) + 196560*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*
b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*
b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^25*b^17*sin(c/2 + (d*x)/2) - 22932*root(7290*a^10*b^4*d^6 - 7290*a^
8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*
a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^27*b^15*sin(c/2 + (d*x)/2)
- 6552*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 +
729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b
^8, d, k)^2*a^29*b^13*sin(c/2 + (d*x)/2) + 3348*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6
+ 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4
- 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^31*b^11*sin(c/2 + (d*x)/2) - 576*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^
4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^33*b^9*sin(c/2 +
(d*x)/2) + 36*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*
d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d
^2 + b^8, d, k)^2*a^35*b^7*sin(c/2 + (d*x)/2) + 1080*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2
*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^
8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^3*b^40*sin(c/2 + (d*x)/2) - 6048*root(7290*a^10*b^4
*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b
^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^5*b^38*sin(c
/2 + (d*x)/2) - 23625*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a
^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a
^2*b^8*d^2 + b^8, d, k)^3*a^7*b^36*sin(c/2 + (d*x)/2) + 361044*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 364
5*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3
645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^9*b^34*sin(c/2 + (d*x)/2) - 1757511*root(
7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a
^11*b^32*sin(c/2 + (d*x)/2) + 5066334*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6
*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4
*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^13*b^30*sin(c/2 + (d*x)/2) - 9830457*root(7290*a^10*b^4*d^6 - 7290
*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 36
45*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^15*b^28*sin(c/2 + (d*x)
/2) + 13374504*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10
*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*
d^2 + b^8, d, k)^3*a^17*b^26*sin(c/2 + (d*x)/2) - 12675663*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^
12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*
a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^19*b^24*sin(c/2 + (d*x)/2) + 7729722*root(729
0*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 1
2393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^21
*b^22*sin(c/2 + (d*x)/2) - 1942083*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^
8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^
6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^23*b^20*sin(c/2 + (d*x)/2) - 1366092*root(7290*a^10*b^4*d^6 - 7290*a^
8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*
a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^25*b^18*sin(c/2 + (d*x)/2)
+ 1796067*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2
+ b^8, d, k)^3*a^27*b^16*sin(c/2 + (d*x)/2) - 993006*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2
*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^
8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^29*b^14*sin(c/2 + (d*x)/2) + 318789*root(7290*a^10*
b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^
6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^31*b^12*s
in(c/2 + (d*x)/2) - 57456*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 7
29*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 1
35*a^2*b^8*d^2 + b^8, d, k)^3*a^33*b^10*sin(c/2 + (d*x)/2) + 4347*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 -
3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4
+ 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^35*b^8*sin(c/2 + (d*x)/2) + 54*root(72
90*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^3
7*b^6*sin(c/2 + (d*x)/2) + 648*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^
6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^
2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^3*b^41*sin(c/2 + (d*x)/2) - 7776*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^
6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*
d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^5*b^39*sin(c/2 + (d*x)/2) + 35964*
root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14
*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k
)^4*a^7*b^37*sin(c/2 + (d*x)/2) - 46656*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a
^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a
^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^9*b^35*sin(c/2 + (d*x)/2) - 311040*root(7290*a^10*b^4*d^6 - 7290
*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 36
45*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^11*b^33*sin(c/2 + (d*x)
/2) + 2068416*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*
d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d
^2 + b^8, d, k)^4*a^13*b^31*sin(c/2 + (d*x)/2) - 6722352*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12
*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^
4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^15*b^29*sin(c/2 + (d*x)/2) + 14758848*root(7290
*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12
393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^17*
b^27*sin(c/2 + (d*x)/2) - 23907312*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^
8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^
6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^19*b^25*sin(c/2 + (d*x)/2) + 29652480*root(7290*a^10*b^4*d^6 - 7290*a
^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645
*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^21*b^23*sin(c/2 + (d*x)/2
) - 28633176*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d
^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^
2 + b^8, d, k)^4*a^23*b^21*sin(c/2 + (d*x)/2) + 21632832*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12
*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^
4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^25*b^19*sin(c/2 + (d*x)/2) - 12737088*root(7290
*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12
393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^27*
b^17*sin(c/2 + (d*x)/2) + 5769792*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8
*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6
*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^29*b^15*sin(c/2 + (d*x)/2) - 1963440*root(7290*a^10*b^4*d^6 - 7290*a^8
*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a
^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^31*b^13*sin(c/2 + (d*x)/2)
+ 482112*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 +
729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^4*a^33*b^11*sin(c/2 + (d*x)/2) - 79704*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^
6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d
^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^35*b^9*sin(c/2 + (d*x)/2) + 7776*root(7290*a^10*b^4*d^
6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*
d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^37*b^7*sin(c/2
+ (d*x)/2) - 324*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^
10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^
8*d^2 + b^8, d, k)^4*a^39*b^5*sin(c/2 + (d*x)/2) + 243*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b
^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*
b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^5*b^40*sin(c/2 + (d*x)/2) - 4374*root(7290*a^10*b
^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6
*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^7*b^38*sin
(c/2 + (d*x)/2) + 37179*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729
*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135
*a^2*b^8*d^2 + b^8, d, k)^5*a^9*b^36*sin(c/2 + (d*x)/2) - 198288*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3
645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^11*b^34*sin(c/2 + (d*x)/2) + 743580*roo
t(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^
6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5
*a^13*b^32*sin(c/2 + (d*x)/2) - 2082024*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a
^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a
^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^15*b^30*sin(c/2 + (d*x)/2) + 4511052*root(7290*a^10*b^4*d^6 - 72
90*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 +
3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^17*b^28*sin(c/2 + (d*
x)/2) - 7733232*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^1
0*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8
*d^2 + b^8, d, k)^5*a^19*b^26*sin(c/2 + (d*x)/2) + 10633194*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a
^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645
*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^21*b^24*sin(c/2 + (d*x)/2) - 11814660*root(7
290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^
23*b^22*sin(c/2 + (d*x)/2) + 10633194*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6
*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4
*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^25*b^20*sin(c/2 + (d*x)/2) - 7733232*root(7290*a^10*b^4*d^6 - 7290
*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 36
45*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^27*b^18*sin(c/2 + (d*x)
/2) + 4511052*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*
d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d
^2 + b^8, d, k)^5*a^29*b^16*sin(c/2 + (d*x)/2) - 2082024*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12
*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^
4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^31*b^14*sin(c/2 + (d*x)/2) + 743580*root(7290*a
^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 1239
3*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^33*b^
12*sin(c/2 + (d*x)/2) - 198288*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^
6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^
2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^35*b^10*sin(c/2 + (d*x)/2) + 37179*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*
d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^
4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^37*b^8*sin(c/2 + (d*x)/2) - 4374
*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^1
4*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d,
k)^5*a^39*b^6*sin(c/2 + (d*x)/2) + 243*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^
6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^
4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^41*b^4*sin(c/2 + (d*x)/2) + 24*root(7290*a^10*b^4*d^6 - 7290*a^8*
b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^
8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a*b^40*sin(c/2 + (d*x)/2) - 57*r
oot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*
d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)
*a^2*b^39*cos(c/2 + (d*x)/2) + 846*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^
8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^
6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^4*b^37*cos(c/2 + (d*x)/2) - 5859*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*
d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^
4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^6*b^35*cos(c/2 + (d*x)/2) + 25116*
root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14
*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k
)*a^8*b^33*cos(c/2 + (d*x)/2) - 74529*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6
*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4
*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^10*b^31*cos(c/2 + (d*x)/2) + 162162*root(7290*a^10*b^4*d^6 - 7290*a^
8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*
a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^12*b^29*cos(c/2 + (d*x)/2) -
267267*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 +
729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b
^8, d, k)*a^14*b^27*cos(c/2 + (d*x)/2) + 339768*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6
+ 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4
- 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^16*b^25*cos(c/2 + (d*x)/2) - 335907*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d
^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^18*b^23*cos(c/2 +
(d*x)/2) + 258258*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b
^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b
^8*d^2 + b^8, d, k)*a^20*b^21*cos(c/2 + (d*x)/2) - 153153*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^1
2*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a
^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^22*b^19*cos(c/2 + (d*x)/2) + 68796*root(7290*a^1
0*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*
a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^24*b^17*c
os(c/2 + (d*x)/2) - 22659*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 7
29*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 1
35*a^2*b^8*d^2 + b^8, d, k)*a^26*b^15*cos(c/2 + (d*x)/2) + 5166*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 36
45*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^28*b^13*cos(c/2 + (d*x)/2) - 729*root(7290
*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12
393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^30*b^
11*cos(c/2 + (d*x)/2) + 48*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)*a^32*b^9*cos(c/2 + (d*x)/2)))/cos(c/2 + (d*x)/2))*root(7290*a^10*b^4*d^6 - 7290*a
^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645
*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k), k, 1, 6))/(a^4*d*cos(c/2 + (
d*x)/2)^6 + b^4*d*cos(c/2 + (d*x)/2)^6 - a^4*d*sin(c/2 + (d*x)/2)^6 - b^4*d*sin(c/2 + (d*x)/2)^6 - 2*a^2*b^2*d
*cos(c/2 + (d*x)/2)^6 + 2*a^2*b^2*d*sin(c/2 + (d*x)/2)^6 + 3*a^4*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 -
3*a^4*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2 + 3*b^4*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 - 3*b^4
*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2 - 6*a^2*b^2*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 + 6*a^2*b
^2*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2) - (6*a^2*b^2*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4*symsum(
log(-(8192*(6*a^2*b^38*cos(c/2 + (d*x)/2) - 20*a*b^39*sin(c/2 + (d*x)/2) - 84*a^4*b^36*cos(c/2 + (d*x)/2) + 54
6*a^6*b^34*cos(c/2 + (d*x)/2) - 2184*a^8*b^32*cos(c/2 + (d*x)/2) + 6006*a^10*b^30*cos(c/2 + (d*x)/2) - 12012*a
^12*b^28*cos(c/2 + (d*x)/2) + 18018*a^14*b^26*cos(c/2 + (d*x)/2) - 20592*a^16*b^24*cos(c/2 + (d*x)/2) + 18018*
a^18*b^22*cos(c/2 + (d*x)/2) - 12012*a^20*b^20*cos(c/2 + (d*x)/2) + 6006*a^22*b^18*cos(c/2 + (d*x)/2) - 2184*a
^24*b^16*cos(c/2 + (d*x)/2) + 546*a^26*b^14*cos(c/2 + (d*x)/2) - 84*a^28*b^12*cos(c/2 + (d*x)/2) + 6*a^30*b^10
*cos(c/2 + (d*x)/2) + 280*a^3*b^37*sin(c/2 + (d*x)/2) - 1820*a^5*b^35*sin(c/2 + (d*x)/2) + 7280*a^7*b^33*sin(c
/2 + (d*x)/2) - 20020*a^9*b^31*sin(c/2 + (d*x)/2) + 40040*a^11*b^29*sin(c/2 + (d*x)/2) - 60060*a^13*b^27*sin(c
/2 + (d*x)/2) + 68640*a^15*b^25*sin(c/2 + (d*x)/2) - 60060*a^17*b^23*sin(c/2 + (d*x)/2) + 40040*a^19*b^21*sin(
c/2 + (d*x)/2) - 20020*a^21*b^19*sin(c/2 + (d*x)/2) + 7280*a^23*b^17*sin(c/2 + (d*x)/2) - 1820*a^25*b^15*sin(c
/2 + (d*x)/2) + 280*a^27*b^13*sin(c/2 + (d*x)/2) - 20*a^29*b^11*sin(c/2 + (d*x)/2) - 588*root(7290*a^10*b^4*d^
6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*
d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^3*b^38*sin(c/2 +
(d*x)/2) + 5715*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^1
0*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8
*d^2 + b^8, d, k)*a^5*b^36*sin(c/2 + (d*x)/2) - 31710*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^
2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b
^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^7*b^34*sin(c/2 + (d*x)/2) + 116025*root(7290*a^10*b^
4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*
b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^9*b^32*sin(c/
2 + (d*x)/2) - 301392*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a
^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a
^2*b^8*d^2 + b^8, d, k)*a^11*b^30*sin(c/2 + (d*x)/2) + 579579*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645
*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 36
45*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^13*b^28*sin(c/2 + (d*x)/2) - 845130*root(729
0*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 1
2393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^15*b
^26*sin(c/2 + (d*x)/2) + 945945*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d
^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d
^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^17*b^24*sin(c/2 + (d*x)/2) - 815100*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*
d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^
4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^19*b^22*sin(c/2 + (d*x)/2) + 53753
7*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^
14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d,
k)*a^21*b^20*sin(c/2 + (d*x)/2) - 266994*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645
*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135
*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^23*b^18*sin(c/2 + (d*x)/2) + 96915*root(7290*a^10*b^4*d^6 - 7290
*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 36
45*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^25*b^16*sin(c/2 + (d*x)/2
) - 24360*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)*a^27*b^14*sin(c/2 + (d*x)/2) + 3825*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6
+ 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4
- 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^29*b^12*sin(c/2 + (d*x)/2) - 294*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^31*b^10*sin(c/2 + (d*
x)/2) + 3*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)*a^33*b^8*sin(c/2 + (d*x)/2) + 36*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3
645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^2*b^40*cos(c/2 + (d*x)/2) - 1143*root(7290*a^10*b^4*d^6 - 7
290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 +
3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^4*b^38*cos(c/2 + (d*
x)/2) + 11853*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*
d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d
^2 + b^8, d, k)^2*a^6*b^36*cos(c/2 + (d*x)/2) - 66087*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^
2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b
^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^8*b^34*cos(c/2 + (d*x)/2) + 235053*root(7290*a^10*
b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^
6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^10*b^32*c
os(c/2 + (d*x)/2) - 577395*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)^2*a^12*b^30*cos(c/2 + (d*x)/2) + 1018017*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^
6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*
d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^14*b^28*cos(c/2 + (d*x)/2) - 13037
31*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a
^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d
, k)^2*a^16*b^26*cos(c/2 + (d*x)/2) + 1193049*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^18*b^24*cos(c/2 + (d*x)/2) - 724581*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d
^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^20*b^22*cos(c/2
+ (d*x)/2) + 207207*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4
*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2
*b^8*d^2 + b^8, d, k)^2*a^22*b^20*cos(c/2 + (d*x)/2) + 85995*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*
a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 364
5*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^24*b^18*cos(c/2 + (d*x)/2) - 133497*root(72
90*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^2
6*b^16*cos(c/2 + (d*x)/2) + 75663*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8
*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6
*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^28*b^14*cos(c/2 + (d*x)/2) - 24597*root(7290*a^10*b^4*d^6 - 7290*a^8*b
^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8
*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^30*b^12*cos(c/2 + (d*x)/2) +
4527*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729
*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8,
d, k)^2*a^32*b^10*cos(c/2 + (d*x)/2) - 369*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 36
45*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 1
35*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^34*b^8*cos(c/2 + (d*x)/2) - 3078*root(7290*a^10*b^4*d^6 - 72
90*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 +
3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^4*b^39*cos(c/2 + (d*x
)/2) + 33453*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d
^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^
2 + b^8, d, k)^3*a^6*b^37*cos(c/2 + (d*x)/2) - 147744*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^
2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b
^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^8*b^35*cos(c/2 + (d*x)/2) + 279531*root(7290*a^10*
b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^
6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^10*b^33*c
os(c/2 + (d*x)/2) + 191646*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)^3*a^12*b^31*cos(c/2 + (d*x)/2) - 2542995*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^
6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*
d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^14*b^29*cos(c/2 + (d*x)/2) + 74594
52*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a
^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d
, k)^3*a^16*b^27*cos(c/2 + (d*x)/2) - 13193037*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4
- 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^18*b^25*cos(c/2 + (d*x)/2) + 16054038*root(7290*a^10*b^4*
d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^
6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^20*b^23*cos(c
/2 + (d*x)/2) - 13888017*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 72
9*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 13
5*a^2*b^8*d^2 + b^8, d, k)^3*a^22*b^21*cos(c/2 + (d*x)/2) + 8432424*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^
4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^24*b^19*cos(c/2 + (d*x)/2) - 3339063
*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^1
4*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d,
k)^3*a^26*b^17*cos(c/2 + (d*x)/2) + 633906*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 364
5*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 13
5*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^28*b^15*cos(c/2 + (d*x)/2) + 109431*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^30*b^13*cos(c/2 + (
d*x)/2) - 104004*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^
10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^
8*d^2 + b^8, d, k)^3*a^32*b^11*cos(c/2 + (d*x)/2) + 26649*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^1
2*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a
^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^34*b^9*cos(c/2 + (d*x)/2) - 2592*root(7290*a^1
0*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*
a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^36*b^7*
cos(c/2 + (d*x)/2) + 891*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 72
9*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 13
5*a^2*b^8*d^2 + b^8, d, k)^4*a^4*b^40*cos(c/2 + (d*x)/2) - 12879*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3
645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^6*b^38*cos(c/2 + (d*x)/2) + 84807*root(
7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a
^8*b^36*cos(c/2 + (d*x)/2) - 332424*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b
^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b
^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^10*b^34*cos(c/2 + (d*x)/2) + 840780*root(7290*a^10*b^4*d^6 - 7290*a^
8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*
a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^12*b^32*cos(c/2 + (d*x)/2)
- 1340388*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2
+ b^8, d, k)^4*a^14*b^30*cos(c/2 + (d*x)/2) + 972972*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2
*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^
8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^16*b^28*cos(c/2 + (d*x)/2) + 1187784*root(7290*a^10
*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a
^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^18*b^26*
cos(c/2 + (d*x)/2) - 4934358*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6
- 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2
+ 135*a^2*b^8*d^2 + b^8, d, k)^4*a^20*b^24*cos(c/2 + (d*x)/2) + 8455590*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*
d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^
4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^22*b^22*cos(c/2 + (d*x)/2) - 966
0222*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729
*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8,
d, k)^4*a^24*b^20*cos(c/2 + (d*x)/2) + 8061768*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6
+ 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4
- 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^26*b^18*cos(c/2 + (d*x)/2) - 5041764*root(7290*a^10*b^4*
d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^
6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^28*b^16*cos(c
/2 + (d*x)/2) + 2360988*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729
*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135
*a^2*b^8*d^2 + b^8, d, k)^4*a^30*b^14*cos(c/2 + (d*x)/2) - 811620*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 -
3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4
+ 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^32*b^12*cos(c/2 + (d*x)/2) + 196344*ro
ot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d
^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^
4*a^34*b^10*cos(c/2 + (d*x)/2) - 30861*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^
6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^
4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^36*b^8*cos(c/2 + (d*x)/2) + 2673*root(7290*a^10*b^4*d^6 - 7290*a^
8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*
a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^38*b^6*cos(c/2 + (d*x)/2)
- 81*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729
*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8,
d, k)^4*a^40*b^4*cos(c/2 + (d*x)/2) + 972*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 364
5*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 13
5*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^4*b^41*cos(c/2 + (d*x)/2) - 18225*root(7290*a^10*b^4*d^6 - 72
90*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 +
3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^6*b^39*cos(c/2 + (d*x
)/2) + 161838*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*
d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d
^2 + b^8, d, k)^5*a^8*b^37*cos(c/2 + (d*x)/2) - 904689*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b
^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*
b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^10*b^35*cos(c/2 + (d*x)/2) + 3569184*root(7290*a^
10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393
*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^12*b^3
3*cos(c/2 + (d*x)/2) - 10558836*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d
^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d
^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^14*b^31*cos(c/2 + (d*x)/2) + 24290280*root(7290*a^10*b^4*d^6 - 7290*a^8*
b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^
8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^16*b^29*cos(c/2 + (d*x)/2) -
44466084*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^5*a^18*b^27*cos(c/2 + (d*x)/2) + 65732472*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^
2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b
^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^20*b^25*cos(c/2 + (d*x)/2) - 79158222*root(7290*a^
10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393
*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^22*b^2
3*cos(c/2 + (d*x)/2) + 77976756*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d
^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d
^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^24*b^21*cos(c/2 + (d*x)/2) - 62832510*root(7290*a^10*b^4*d^6 - 7290*a^8*
b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^
8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^26*b^19*cos(c/2 + (d*x)/2) +
41243904*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^5*a^28*b^17*cos(c/2 + (d*x)/2) - 21861252*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^
2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b
^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^30*b^15*cos(c/2 + (d*x)/2) + 9220392*root(7290*a^1
0*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*
a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^32*b^13
*cos(c/2 + (d*x)/2) - 3023892*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6
- 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2
+ 135*a^2*b^8*d^2 + b^8, d, k)^5*a^34*b^11*cos(c/2 + (d*x)/2) + 743580*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*
d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^
4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^36*b^9*cos(c/2 + (d*x)/2) - 1290
33*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a
^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d
, k)^5*a^38*b^7*cos(c/2 + (d*x)/2) + 14094*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 364
5*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 13
5*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^40*b^5*cos(c/2 + (d*x)/2) - 729*root(7290*a^10*b^4*d^6 - 7290
*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 36
45*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^42*b^3*cos(c/2 + (d*x)/
2) - 936*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 +
729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^2*a^3*b^39*sin(c/2 + (d*x)/2) + 13032*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6
+ 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^
4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^5*b^37*sin(c/2 + (d*x)/2) - 84132*root(7290*a^10*b^4*d^
6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*
d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^7*b^35*sin(c/2
+ (d*x)/2) + 333648*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4
*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2
*b^8*d^2 + b^8, d, k)^2*a^9*b^33*sin(c/2 + (d*x)/2) - 907452*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*
a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 364
5*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^11*b^31*sin(c/2 + (d*x)/2) + 1788696*root(7
290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^
13*b^29*sin(c/2 + (d*x)/2) - 2630628*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*
b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*
b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^15*b^27*sin(c/2 + (d*x)/2) + 2924064*root(7290*a^10*b^4*d^6 - 7290*
a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 364
5*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^17*b^25*sin(c/2 + (d*x)/
2) - 2455596*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d
^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^
2 + b^8, d, k)^2*a^19*b^23*sin(c/2 + (d*x)/2) + 1534104*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*
b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4
*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^21*b^21*sin(c/2 + (d*x)/2) - 684684*root(7290*a^
10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393
*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^23*b^1
9*sin(c/2 + (d*x)/2) + 196560*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6
- 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2
+ 135*a^2*b^8*d^2 + b^8, d, k)^2*a^25*b^17*sin(c/2 + (d*x)/2) - 22932*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d
^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4
*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^27*b^15*sin(c/2 + (d*x)/2) - 6552
*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^1
4*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d,
k)^2*a^29*b^13*sin(c/2 + (d*x)/2) + 3348*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*
a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*
a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^31*b^11*sin(c/2 + (d*x)/2) - 576*root(7290*a^10*b^4*d^6 - 7290*
a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 364
5*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^33*b^9*sin(c/2 + (d*x)/2
) + 36*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 7
29*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^
8, d, k)^2*a^35*b^7*sin(c/2 + (d*x)/2) + 1080*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^3*b^40*sin(c/2 + (d*x)/2) - 6048*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^5*b^38*sin(c/2 + (d
*x)/2) - 23625*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10
*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*
d^2 + b^8, d, k)^3*a^7*b^36*sin(c/2 + (d*x)/2) + 361044*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*
b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4
*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^9*b^34*sin(c/2 + (d*x)/2) - 1757511*root(7290*a^
10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393
*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^11*b^3
2*sin(c/2 + (d*x)/2) + 5066334*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^
6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^
2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^13*b^30*sin(c/2 + (d*x)/2) - 9830457*root(7290*a^10*b^4*d^6 - 7290*a^8*b^
6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*
b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^15*b^28*sin(c/2 + (d*x)/2) + 1
3374504*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 +
729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b
^8, d, k)^3*a^17*b^26*sin(c/2 + (d*x)/2) - 12675663*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*
d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8
*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^19*b^24*sin(c/2 + (d*x)/2) + 7729722*root(7290*a^10*
b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^
6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^21*b^22*s
in(c/2 + (d*x)/2) - 1942083*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)^3*a^23*b^20*sin(c/2 + (d*x)/2) - 1366092*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d
^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4
*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^25*b^18*sin(c/2 + (d*x)/2) + 1796
067*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*
a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8,
d, k)^3*a^27*b^16*sin(c/2 + (d*x)/2) - 993006*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^29*b^14*sin(c/2 + (d*x)/2) + 318789*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d
^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^31*b^12*sin(c/2
+ (d*x)/2) - 57456*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*
b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*
b^8*d^2 + b^8, d, k)^3*a^33*b^10*sin(c/2 + (d*x)/2) + 4347*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^
12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*
a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^35*b^8*sin(c/2 + (d*x)/2) + 54*root(7290*a^10
*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a
^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^37*b^6*s
in(c/2 + (d*x)/2) + 648*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729
*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135
*a^2*b^8*d^2 + b^8, d, k)^4*a^3*b^41*sin(c/2 + (d*x)/2) - 7776*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 364
5*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3
645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^5*b^39*sin(c/2 + (d*x)/2) + 35964*root(72
90*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^7
*b^37*sin(c/2 + (d*x)/2) - 46656*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*
d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*
d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^9*b^35*sin(c/2 + (d*x)/2) - 311040*root(7290*a^10*b^4*d^6 - 7290*a^8*b^
6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*
b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^11*b^33*sin(c/2 + (d*x)/2) + 2
068416*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 7
29*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^
8, d, k)^4*a^13*b^31*sin(c/2 + (d*x)/2) - 6722352*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^
6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d
^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^15*b^29*sin(c/2 + (d*x)/2) + 14758848*root(7290*a^10*b
^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6
*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^17*b^27*si
n(c/2 + (d*x)/2) - 23907312*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)^4*a^19*b^25*sin(c/2 + (d*x)/2) + 29652480*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*
d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^
4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^21*b^23*sin(c/2 + (d*x)/2) - 286
33176*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 72
9*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8
, d, k)^4*a^23*b^21*sin(c/2 + (d*x)/2) + 21632832*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^
6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d
^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^25*b^19*sin(c/2 + (d*x)/2) - 12737088*root(7290*a^10*b
^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6
*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^27*b^17*si
n(c/2 + (d*x)/2) + 5769792*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)^4*a^29*b^15*sin(c/2 + (d*x)/2) - 1963440*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^
6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*
d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^31*b^13*sin(c/2 + (d*x)/2) + 48211
2*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^
14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d,
k)^4*a^33*b^11*sin(c/2 + (d*x)/2) - 79704*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 364
5*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 13
5*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^35*b^9*sin(c/2 + (d*x)/2) + 7776*root(7290*a^10*b^4*d^6 - 729
0*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3
645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^37*b^7*sin(c/2 + (d*x)
/2) - 324*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^4*a^39*b^5*sin(c/2 + (d*x)/2) + 243*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6
+ 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4
- 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^5*b^40*sin(c/2 + (d*x)/2) - 4374*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^
4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^7*b^38*sin(c/2 +
(d*x)/2) + 37179*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^
10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^
8*d^2 + b^8, d, k)^5*a^9*b^36*sin(c/2 + (d*x)/2) - 198288*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^1
2*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a
^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^11*b^34*sin(c/2 + (d*x)/2) + 743580*root(7290*
a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 123
93*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^13*b
^32*sin(c/2 + (d*x)/2) - 2082024*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*
d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*
d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^15*b^30*sin(c/2 + (d*x)/2) + 4511052*root(7290*a^10*b^4*d^6 - 7290*a^8*
b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^
8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^17*b^28*sin(c/2 + (d*x)/2) -
7733232*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 +
729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^5*a^19*b^26*sin(c/2 + (d*x)/2) + 10633194*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2
*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^
8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^21*b^24*sin(c/2 + (d*x)/2) - 11814660*root(7290*a^1
0*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*
a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^23*b^22
*sin(c/2 + (d*x)/2) + 10633194*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^
6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^
2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^25*b^20*sin(c/2 + (d*x)/2) - 7733232*root(7290*a^10*b^4*d^6 - 7290*a^8*b^
6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*
b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^27*b^18*sin(c/2 + (d*x)/2) + 4
511052*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 7
29*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^
8, d, k)^5*a^29*b^16*sin(c/2 + (d*x)/2) - 2082024*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^
6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d
^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^31*b^14*sin(c/2 + (d*x)/2) + 743580*root(7290*a^10*b^4
*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b
^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^33*b^12*sin(
c/2 + (d*x)/2) - 198288*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729
*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135
*a^2*b^8*d^2 + b^8, d, k)^5*a^35*b^10*sin(c/2 + (d*x)/2) + 37179*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3
645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^37*b^8*sin(c/2 + (d*x)/2) - 4374*root(7
290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^
39*b^6*sin(c/2 + (d*x)/2) + 243*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d
^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d
^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^41*b^4*sin(c/2 + (d*x)/2) + 24*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d
^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a*b^40*sin(c/2 + (d*x)/2) - 57*root(729
0*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 1
2393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^2*b^
39*cos(c/2 + (d*x)/2) + 846*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)*a^4*b^37*cos(c/2 + (d*x)/2) - 5859*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3
645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^6*b^35*cos(c/2 + (d*x)/2) + 25116*root(72
90*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^8*b
^33*cos(c/2 + (d*x)/2) - 74529*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^
6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^
2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^10*b^31*cos(c/2 + (d*x)/2) + 162162*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d
^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4
*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^12*b^29*cos(c/2 + (d*x)/2) - 267267
*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^1
4*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d,
k)*a^14*b^27*cos(c/2 + (d*x)/2) + 339768*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*
a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*
a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^16*b^25*cos(c/2 + (d*x)/2) - 335907*root(7290*a^10*b^4*d^6 - 7290
*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 36
45*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^18*b^23*cos(c/2 + (d*x)/2
) + 258258*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2
+ b^8, d, k)*a^20*b^21*cos(c/2 + (d*x)/2) - 153153*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d
^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*
d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^22*b^19*cos(c/2 + (d*x)/2) + 68796*root(7290*a^10*b^4*d
^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6
*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^24*b^17*cos(c/2
+ (d*x)/2) - 22659*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*
b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*
b^8*d^2 + b^8, d, k)*a^26*b^15*cos(c/2 + (d*x)/2) + 5166*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12
*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^
4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^28*b^13*cos(c/2 + (d*x)/2) - 729*root(7290*a^10*b
^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6
*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^30*b^11*cos(
c/2 + (d*x)/2) + 48*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4
*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2
*b^8*d^2 + b^8, d, k)*a^32*b^9*cos(c/2 + (d*x)/2)))/cos(c/2 + (d*x)/2))*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*
d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^
4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k), k, 1, 6))/(a^4*d*cos(c/2 + (d*x)/2)
^6 + b^4*d*cos(c/2 + (d*x)/2)^6 - a^4*d*sin(c/2 + (d*x)/2)^6 - b^4*d*sin(c/2 + (d*x)/2)^6 - 2*a^2*b^2*d*cos(c/
2 + (d*x)/2)^6 + 2*a^2*b^2*d*sin(c/2 + (d*x)/2)^6 + 3*a^4*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 - 3*a^4*
d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2 + 3*b^4*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 - 3*b^4*d*cos(
c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2 - 6*a^2*b^2*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 + 6*a^2*b^2*d*co
s(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2) + (6*a^2*b^2*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2*symsum(log(-(8
192*(6*a^2*b^38*cos(c/2 + (d*x)/2) - 20*a*b^39*sin(c/2 + (d*x)/2) - 84*a^4*b^36*cos(c/2 + (d*x)/2) + 546*a^6*b
^34*cos(c/2 + (d*x)/2) - 2184*a^8*b^32*cos(c/2 + (d*x)/2) + 6006*a^10*b^30*cos(c/2 + (d*x)/2) - 12012*a^12*b^2
8*cos(c/2 + (d*x)/2) + 18018*a^14*b^26*cos(c/2 + (d*x)/2) - 20592*a^16*b^24*cos(c/2 + (d*x)/2) + 18018*a^18*b^
22*cos(c/2 + (d*x)/2) - 12012*a^20*b^20*cos(c/2 + (d*x)/2) + 6006*a^22*b^18*cos(c/2 + (d*x)/2) - 2184*a^24*b^1
6*cos(c/2 + (d*x)/2) + 546*a^26*b^14*cos(c/2 + (d*x)/2) - 84*a^28*b^12*cos(c/2 + (d*x)/2) + 6*a^30*b^10*cos(c/
2 + (d*x)/2) + 280*a^3*b^37*sin(c/2 + (d*x)/2) - 1820*a^5*b^35*sin(c/2 + (d*x)/2) + 7280*a^7*b^33*sin(c/2 + (d
*x)/2) - 20020*a^9*b^31*sin(c/2 + (d*x)/2) + 40040*a^11*b^29*sin(c/2 + (d*x)/2) - 60060*a^13*b^27*sin(c/2 + (d
*x)/2) + 68640*a^15*b^25*sin(c/2 + (d*x)/2) - 60060*a^17*b^23*sin(c/2 + (d*x)/2) + 40040*a^19*b^21*sin(c/2 + (
d*x)/2) - 20020*a^21*b^19*sin(c/2 + (d*x)/2) + 7280*a^23*b^17*sin(c/2 + (d*x)/2) - 1820*a^25*b^15*sin(c/2 + (d
*x)/2) + 280*a^27*b^13*sin(c/2 + (d*x)/2) - 20*a^29*b^11*sin(c/2 + (d*x)/2) - 588*root(7290*a^10*b^4*d^6 - 729
0*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3
645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^3*b^38*sin(c/2 + (d*x)/2
) + 5715*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 +
729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)*a^5*b^36*sin(c/2 + (d*x)/2) - 31710*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4
- 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^7*b^34*sin(c/2 + (d*x)/2) + 116025*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^9*b^32*sin(c/2 + (d*
x)/2) - 301392*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10
*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*
d^2 + b^8, d, k)*a^11*b^30*sin(c/2 + (d*x)/2) + 579579*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b
^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*
b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^13*b^28*sin(c/2 + (d*x)/2) - 845130*root(7290*a^10*
b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^
6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^15*b^26*sin
(c/2 + (d*x)/2) + 945945*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 72
9*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 13
5*a^2*b^8*d^2 + b^8, d, k)*a^17*b^24*sin(c/2 + (d*x)/2) - 815100*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3
645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^19*b^22*sin(c/2 + (d*x)/2) + 537537*root(
7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^2
1*b^20*sin(c/2 + (d*x)/2) - 266994*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^
8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^
6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^23*b^18*sin(c/2 + (d*x)/2) + 96915*root(7290*a^10*b^4*d^6 - 7290*a^8*b^
6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*
b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^25*b^16*sin(c/2 + (d*x)/2) - 243
60*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a
^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d
, k)*a^27*b^14*sin(c/2 + (d*x)/2) + 3825*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*
a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*
a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^29*b^12*sin(c/2 + (d*x)/2) - 294*root(7290*a^10*b^4*d^6 - 7290*a^
8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*
a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^31*b^10*sin(c/2 + (d*x)/2) +
3*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a
^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d
, k)*a^33*b^8*sin(c/2 + (d*x)/2) + 36*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6
*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4
*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^2*b^40*cos(c/2 + (d*x)/2) - 1143*root(7290*a^10*b^4*d^6 - 7290*a^8
*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a
^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^4*b^38*cos(c/2 + (d*x)/2) +
11853*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 7
29*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^
8, d, k)^2*a^6*b^36*cos(c/2 + (d*x)/2) - 66087*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4
- 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^8*b^34*cos(c/2 + (d*x)/2) + 235053*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d
^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^10*b^32*cos(c/2
+ (d*x)/2) - 577395*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4
*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2
*b^8*d^2 + b^8, d, k)^2*a^12*b^30*cos(c/2 + (d*x)/2) + 1018017*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 364
5*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3
645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^14*b^28*cos(c/2 + (d*x)/2) - 1303731*root
(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*
a^16*b^26*cos(c/2 + (d*x)/2) + 1193049*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^
6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^
4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^18*b^24*cos(c/2 + (d*x)/2) - 724581*root(7290*a^10*b^4*d^6 - 7290
*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 36
45*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^20*b^22*cos(c/2 + (d*x)
/2) + 207207*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d
^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^
2 + b^8, d, k)^2*a^22*b^20*cos(c/2 + (d*x)/2) + 85995*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^
2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b
^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^24*b^18*cos(c/2 + (d*x)/2) - 133497*root(7290*a^10
*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a
^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^26*b^16*
cos(c/2 + (d*x)/2) + 75663*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 -
729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 +
135*a^2*b^8*d^2 + b^8, d, k)^2*a^28*b^14*cos(c/2 + (d*x)/2) - 24597*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^
4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^30*b^12*cos(c/2 + (d*x)/2) + 4527*ro
ot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d
^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^
2*a^32*b^10*cos(c/2 + (d*x)/2) - 369*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*
b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*
b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^34*b^8*cos(c/2 + (d*x)/2) - 3078*root(7290*a^10*b^4*d^6 - 7290*a^8*
b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^
8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^4*b^39*cos(c/2 + (d*x)/2) +
33453*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 72
9*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8
, d, k)^3*a^6*b^37*cos(c/2 + (d*x)/2) - 147744*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4
- 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^8*b^35*cos(c/2 + (d*x)/2) + 279531*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d
^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^10*b^33*cos(c/2
+ (d*x)/2) + 191646*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4
*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2
*b^8*d^2 + b^8, d, k)^3*a^12*b^31*cos(c/2 + (d*x)/2) - 2542995*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 364
5*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3
645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^14*b^29*cos(c/2 + (d*x)/2) + 7459452*root
(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*
a^16*b^27*cos(c/2 + (d*x)/2) - 13193037*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a
^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a
^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^18*b^25*cos(c/2 + (d*x)/2) + 16054038*root(7290*a^10*b^4*d^6 - 7
290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 +
3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^20*b^23*cos(c/2 + (d
*x)/2) - 13888017*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b
^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b
^8*d^2 + b^8, d, k)^3*a^22*b^21*cos(c/2 + (d*x)/2) + 8432424*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*
a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 364
5*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^24*b^19*cos(c/2 + (d*x)/2) - 3339063*root(7
290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^
26*b^17*cos(c/2 + (d*x)/2) + 633906*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b
^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b
^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^28*b^15*cos(c/2 + (d*x)/2) + 109431*root(7290*a^10*b^4*d^6 - 7290*a^
8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*
a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^30*b^13*cos(c/2 + (d*x)/2)
- 104004*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^3*a^32*b^11*cos(c/2 + (d*x)/2) + 26649*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d
^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*
d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^34*b^9*cos(c/2 + (d*x)/2) - 2592*root(7290*a^10*b^4*d
^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6
*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^36*b^7*cos(c/2
+ (d*x)/2) + 891*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b
^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b
^8*d^2 + b^8, d, k)^4*a^4*b^40*cos(c/2 + (d*x)/2) - 12879*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^1
2*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a
^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^6*b^38*cos(c/2 + (d*x)/2) + 84807*root(7290*a^
10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393
*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^8*b^36
*cos(c/2 + (d*x)/2) - 332424*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6
- 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2
+ 135*a^2*b^8*d^2 + b^8, d, k)^4*a^10*b^34*cos(c/2 + (d*x)/2) + 840780*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d
^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4
*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^12*b^32*cos(c/2 + (d*x)/2) - 1340
388*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*
a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8,
d, k)^4*a^14*b^30*cos(c/2 + (d*x)/2) + 972972*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^16*b^28*cos(c/2 + (d*x)/2) + 1187784*root(7290*a^10*b^4*d^
6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*
d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^18*b^26*cos(c/2
+ (d*x)/2) - 4934358*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a
^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a
^2*b^8*d^2 + b^8, d, k)^4*a^20*b^24*cos(c/2 + (d*x)/2) + 8455590*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3
645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^22*b^22*cos(c/2 + (d*x)/2) - 9660222*ro
ot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d
^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^
4*a^24*b^20*cos(c/2 + (d*x)/2) + 8061768*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*
a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*
a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^26*b^18*cos(c/2 + (d*x)/2) - 5041764*root(7290*a^10*b^4*d^6 - 7
290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 +
3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^28*b^16*cos(c/2 + (d
*x)/2) + 2360988*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^
10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^
8*d^2 + b^8, d, k)^4*a^30*b^14*cos(c/2 + (d*x)/2) - 811620*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^
12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*
a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^32*b^12*cos(c/2 + (d*x)/2) + 196344*root(7290
*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12
393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^34*
b^10*cos(c/2 + (d*x)/2) - 30861*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d
^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d
^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^36*b^8*cos(c/2 + (d*x)/2) + 2673*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d
^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4
*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^38*b^6*cos(c/2 + (d*x)/2) - 81*ro
ot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d
^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^
4*a^40*b^4*cos(c/2 + (d*x)/2) + 972*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b
^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b
^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^4*b^41*cos(c/2 + (d*x)/2) - 18225*root(7290*a^10*b^4*d^6 - 7290*a^8*
b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^
8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^6*b^39*cos(c/2 + (d*x)/2) +
161838*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 7
29*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^
8, d, k)^5*a^8*b^37*cos(c/2 + (d*x)/2) - 904689*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6
+ 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4
- 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^10*b^35*cos(c/2 + (d*x)/2) + 3569184*root(7290*a^10*b^4*
d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^
6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^12*b^33*cos(c
/2 + (d*x)/2) - 10558836*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 72
9*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 13
5*a^2*b^8*d^2 + b^8, d, k)^5*a^14*b^31*cos(c/2 + (d*x)/2) + 24290280*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d
^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^16*b^29*cos(c/2 + (d*x)/2) - 444660
84*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a
^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d
, k)^5*a^18*b^27*cos(c/2 + (d*x)/2) + 65732472*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4
- 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^20*b^25*cos(c/2 + (d*x)/2) - 79158222*root(7290*a^10*b^4*
d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^
6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^22*b^23*cos(c
/2 + (d*x)/2) + 77976756*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 72
9*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 13
5*a^2*b^8*d^2 + b^8, d, k)^5*a^24*b^21*cos(c/2 + (d*x)/2) - 62832510*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d
^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^26*b^19*cos(c/2 + (d*x)/2) + 412439
04*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a
^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d
, k)^5*a^28*b^17*cos(c/2 + (d*x)/2) - 21861252*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4
- 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^30*b^15*cos(c/2 + (d*x)/2) + 9220392*root(7290*a^10*b^4*d
^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6
*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^32*b^13*cos(c/
2 + (d*x)/2) - 3023892*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*
a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*
a^2*b^8*d^2 + b^8, d, k)^5*a^34*b^11*cos(c/2 + (d*x)/2) + 743580*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3
645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^36*b^9*cos(c/2 + (d*x)/2) - 129033*root
(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*
a^38*b^7*cos(c/2 + (d*x)/2) + 14094*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b
^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b
^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^40*b^5*cos(c/2 + (d*x)/2) - 729*root(7290*a^10*b^4*d^6 - 7290*a^8*b^
6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*
b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^42*b^3*cos(c/2 + (d*x)/2) - 93
6*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^
14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d,
k)^2*a^3*b^39*sin(c/2 + (d*x)/2) + 13032*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645
*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135
*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^5*b^37*sin(c/2 + (d*x)/2) - 84132*root(7290*a^10*b^4*d^6 - 729
0*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3
645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^7*b^35*sin(c/2 + (d*x)
/2) + 333648*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d
^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^
2 + b^8, d, k)^2*a^9*b^33*sin(c/2 + (d*x)/2) - 907452*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^
2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b
^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^11*b^31*sin(c/2 + (d*x)/2) + 1788696*root(7290*a^1
0*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*
a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^13*b^29
*sin(c/2 + (d*x)/2) - 2630628*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6
- 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2
+ 135*a^2*b^8*d^2 + b^8, d, k)^2*a^15*b^27*sin(c/2 + (d*x)/2) + 2924064*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6
*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b
^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^17*b^25*sin(c/2 + (d*x)/2) - 24
55596*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 72
9*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8
, d, k)^2*a^19*b^23*sin(c/2 + (d*x)/2) + 1534104*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6
+ 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^
4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^21*b^21*sin(c/2 + (d*x)/2) - 684684*root(7290*a^10*b^4*
d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^
6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^23*b^19*sin(c
/2 + (d*x)/2) + 196560*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*
a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*
a^2*b^8*d^2 + b^8, d, k)^2*a^25*b^17*sin(c/2 + (d*x)/2) - 22932*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 36
45*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^27*b^15*sin(c/2 + (d*x)/2) - 6552*root(7
290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^
29*b^13*sin(c/2 + (d*x)/2) + 3348*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8
*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6
*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^31*b^11*sin(c/2 + (d*x)/2) - 576*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6
*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b
^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^2*a^33*b^9*sin(c/2 + (d*x)/2) + 36*
root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14
*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k
)^2*a^35*b^7*sin(c/2 + (d*x)/2) + 1080*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^
6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^
4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^3*b^40*sin(c/2 + (d*x)/2) - 6048*root(7290*a^10*b^4*d^6 - 7290*a^
8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*
a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^5*b^38*sin(c/2 + (d*x)/2)
- 23625*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 +
729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b
^8, d, k)^3*a^7*b^36*sin(c/2 + (d*x)/2) + 361044*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6
+ 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^
4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^9*b^34*sin(c/2 + (d*x)/2) - 1757511*root(7290*a^10*b^4*
d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^
6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^11*b^32*sin(c
/2 + (d*x)/2) + 5066334*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729
*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135
*a^2*b^8*d^2 + b^8, d, k)^3*a^13*b^30*sin(c/2 + (d*x)/2) - 9830457*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 -
3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4
+ 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^15*b^28*sin(c/2 + (d*x)/2) + 13374504
*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^1
4*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d,
k)^3*a^17*b^26*sin(c/2 + (d*x)/2) - 12675663*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3
645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^19*b^24*sin(c/2 + (d*x)/2) + 7729722*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d
^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^21*b^22*sin(c/2
+ (d*x)/2) - 1942083*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^
4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^
2*b^8*d^2 + b^8, d, k)^3*a^23*b^20*sin(c/2 + (d*x)/2) - 1366092*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 36
45*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^25*b^18*sin(c/2 + (d*x)/2) + 1796067*roo
t(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^
6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3
*a^27*b^16*sin(c/2 + (d*x)/2) - 993006*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^
6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^
4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^29*b^14*sin(c/2 + (d*x)/2) + 318789*root(7290*a^10*b^4*d^6 - 7290
*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 36
45*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^31*b^12*sin(c/2 + (d*x)
/2) - 57456*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^
6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2
+ b^8, d, k)^3*a^33*b^10*sin(c/2 + (d*x)/2) + 4347*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*
d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8
*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^35*b^8*sin(c/2 + (d*x)/2) + 54*root(7290*a^10*b^4*d^
6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*
d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^3*a^37*b^6*sin(c/2
+ (d*x)/2) + 648*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^
10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^
8*d^2 + b^8, d, k)^4*a^3*b^41*sin(c/2 + (d*x)/2) - 7776*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*
b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4
*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^5*b^39*sin(c/2 + (d*x)/2) + 35964*root(7290*a^10
*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a
^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^7*b^37*s
in(c/2 + (d*x)/2) - 46656*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 7
29*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 1
35*a^2*b^8*d^2 + b^8, d, k)^4*a^9*b^35*sin(c/2 + (d*x)/2) - 311040*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 -
3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4
+ 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^11*b^33*sin(c/2 + (d*x)/2) + 2068416*
root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14
*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k
)^4*a^13*b^31*sin(c/2 + (d*x)/2) - 6722352*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 364
5*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 13
5*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^15*b^29*sin(c/2 + (d*x)/2) + 14758848*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^
4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^17*b^27*sin(c/2 +
(d*x)/2) - 23907312*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^
4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^
2*b^8*d^2 + b^8, d, k)^4*a^19*b^25*sin(c/2 + (d*x)/2) + 29652480*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3
645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^21*b^23*sin(c/2 + (d*x)/2) - 28633176*r
oot(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*
d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)
^4*a^23*b^21*sin(c/2 + (d*x)/2) + 21632832*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 364
5*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 13
5*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^25*b^19*sin(c/2 + (d*x)/2) - 12737088*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^
4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^27*b^17*sin(c/2 +
(d*x)/2) + 5769792*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4
*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2
*b^8*d^2 + b^8, d, k)^4*a^29*b^15*sin(c/2 + (d*x)/2) - 1963440*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 364
5*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3
645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^31*b^13*sin(c/2 + (d*x)/2) + 482112*root(
7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6
+ 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a
^33*b^11*sin(c/2 + (d*x)/2) - 79704*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b
^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b
^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^35*b^9*sin(c/2 + (d*x)/2) + 7776*root(7290*a^10*b^4*d^6 - 7290*a^8*b
^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8
*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^4*a^37*b^7*sin(c/2 + (d*x)/2) - 3
24*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a
^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d
, k)^4*a^39*b^5*sin(c/2 + (d*x)/2) + 243*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*
a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*
a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^5*b^40*sin(c/2 + (d*x)/2) - 4374*root(7290*a^10*b^4*d^6 - 7290*
a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 364
5*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^7*b^38*sin(c/2 + (d*x)/2
) + 37179*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6
+ 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 +
b^8, d, k)^5*a^9*b^36*sin(c/2 + (d*x)/2) - 198288*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d
^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*
d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^11*b^34*sin(c/2 + (d*x)/2) + 743580*root(7290*a^10*b^
4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*
b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^13*b^32*sin
(c/2 + (d*x)/2) - 2082024*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 7
29*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 1
35*a^2*b^8*d^2 + b^8, d, k)^5*a^15*b^30*sin(c/2 + (d*x)/2) + 4511052*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6
- 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d
^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^17*b^28*sin(c/2 + (d*x)/2) - 773323
2*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^
14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d,
k)^5*a^19*b^26*sin(c/2 + (d*x)/2) + 10633194*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 +
3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 -
135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^21*b^24*sin(c/2 + (d*x)/2) - 11814660*root(7290*a^10*b^4*d
^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6
*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^23*b^22*sin(c/
2 + (d*x)/2) + 10633194*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729
*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135
*a^2*b^8*d^2 + b^8, d, k)^5*a^25*b^20*sin(c/2 + (d*x)/2) - 7733232*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 -
3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4
+ 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^27*b^18*sin(c/2 + (d*x)/2) + 4511052*
root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14
*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k
)^5*a^29*b^16*sin(c/2 + (d*x)/2) - 2082024*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 364
5*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 13
5*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^31*b^14*sin(c/2 + (d*x)/2) + 743580*root(7290*a^10*b^4*d^6 -
7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4
+ 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^33*b^12*sin(c/2 + (
d*x)/2) - 198288*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^
10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^
8*d^2 + b^8, d, k)^5*a^35*b^10*sin(c/2 + (d*x)/2) + 37179*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^1
2*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a
^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^37*b^8*sin(c/2 + (d*x)/2) - 4374*root(7290*a^1
0*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*
a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)^5*a^39*b^6*
sin(c/2 + (d*x)/2) + 243*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 72
9*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 13
5*a^2*b^8*d^2 + b^8, d, k)^5*a^41*b^4*sin(c/2 + (d*x)/2) + 24*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645
*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 36
45*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a*b^40*sin(c/2 + (d*x)/2) - 57*root(7290*a^10*
b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^
6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^2*b^39*cos(
c/2 + (d*x)/2) + 846*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^
4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^
2*b^8*d^2 + b^8, d, k)*a^4*b^37*cos(c/2 + (d*x)/2) - 5859*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^1
2*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a
^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^6*b^35*cos(c/2 + (d*x)/2) + 25116*root(7290*a^10
*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a
^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^8*b^33*cos
(c/2 + (d*x)/2) - 74529*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729
*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135
*a^2*b^8*d^2 + b^8, d, k)*a^10*b^31*cos(c/2 + (d*x)/2) + 162162*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 36
45*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^12*b^29*cos(c/2 + (d*x)/2) - 267267*root(7
290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 +
12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^14
*b^27*cos(c/2 + (d*x)/2) + 339768*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8
*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6
*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^16*b^25*cos(c/2 + (d*x)/2) - 335907*root(7290*a^10*b^4*d^6 - 7290*a^8*b^
6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*
b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^18*b^23*cos(c/2 + (d*x)/2) + 258
258*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*
a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8,
d, k)*a^20*b^21*cos(c/2 + (d*x)/2) - 153153*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 36
45*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 1
35*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^22*b^19*cos(c/2 + (d*x)/2) + 68796*root(7290*a^10*b^4*d^6 - 72
90*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 +
3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^24*b^17*cos(c/2 + (d*x)
/2) - 22659*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^
6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2
+ b^8, d, k)*a^26*b^15*cos(c/2 + (d*x)/2) + 5166*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^
6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d
^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^28*b^13*cos(c/2 + (d*x)/2) - 729*root(7290*a^10*b^4*d^6
- 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^
4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k)*a^30*b^11*cos(c/2 + (
d*x)/2) + 48*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d
^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 + 3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^
2 + b^8, d, k)*a^32*b^9*cos(c/2 + (d*x)/2)))/cos(c/2 + (d*x)/2))*root(7290*a^10*b^4*d^6 - 7290*a^8*b^6*d^6 - 3
645*a^12*b^2*d^6 + 3645*a^6*b^8*d^6 - 729*a^4*b^10*d^6 + 729*a^14*d^6 + 12393*a^6*b^6*d^4 + 3645*a^8*b^4*d^4 +
3645*a^4*b^8*d^4 - 135*a^4*b^6*d^2 + 135*a^2*b^8*d^2 + b^8, d, k), k, 1, 6))/(a^4*d*cos(c/2 + (d*x)/2)^6 + b^
4*d*cos(c/2 + (d*x)/2)^6 - a^4*d*sin(c/2 + (d*x)/2)^6 - b^4*d*sin(c/2 + (d*x)/2)^6 - 2*a^2*b^2*d*cos(c/2 + (d*
x)/2)^6 + 2*a^2*b^2*d*sin(c/2 + (d*x)/2)^6 + 3*a^4*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 - 3*a^4*d*cos(c
/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^2 + 3*b^4*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 - 3*b^4*d*cos(c/2 + (
d*x)/2)^4*sin(c/2 + (d*x)/2)^2 - 6*a^2*b^2*d*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^4 + 6*a^2*b^2*d*cos(c/2 +
(d*x)/2)^4*sin(c/2 + (d*x)/2)^2)

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

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(sec(d*x+c)**4/(a+b*sin(d*x+c)**3),x)

[Out]

Timed out

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