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- (1/(2*Pi^5))*
- Integrate[
- k1*k3*\[Sigma]^2*Cos[\[Theta]1]^2*
- Cos[\[Theta]3]^2*((3*(k1^2 + k2^2)*(-2 + p)*p*\[Sigma]^2*
- Cos[4*\[CurlyPhi]2]*Sec[2*l2*Pi]*
- (16*l2*
- Pi*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3] -
- 48*l2*Pi*Cos[2*l2*\[Theta]1 - 2*\[Theta]3]*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3]))/
- (2048*\[Omega]1*(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])) + ((k1^2 + k2^2)*(-2 + p)*p*\[Sigma]^2*
- Cos[2*\[CurlyPhi]1]*Cos[4*\[CurlyPhi]2]*Sec[2*l2*Pi]*
- (16*l2*
- Pi*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3] -
- 48*l2*Pi*Cos[2*l2*\[Theta]1 - 2*\[Theta]3]*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3]))/
- (512*\[Omega]1*(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])) + ((k1^2 + k2^2)*(-2 + p)*p*\[Sigma]^2*
- Cos[4*\[CurlyPhi]1]*Cos[4*\[CurlyPhi]2]*Sec[2*l2*Pi]*
- (16*l2*
- Pi*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3] -
- 48*l2*Pi*Cos[2*l2*\[Theta]1 - 2*\[Theta]3]*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3]))/
- (2048*\[Omega]1*(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])) + (p*(128*k1*k3*l1*(-1 + l1^2)*(l1 - l2)*
- l2*(l1 + l2)*(-2 + p)*\[Sigma]^2*Cos[2*\[Theta]3]*
- Sin[2*\[Theta]1] -
- 128*k1*k3*l1*(-1 + l1^2)*(l1 - l2)*
- l2^2*(l1 + l2)*(-2 + p)*\[Sigma]^2*Cos[2*\[Theta]1]*
- Sin[2*\[Theta]3]))/(4096*l1*(-1 + l1^2)*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*\[Omega]1) +
- (1/(256*\[Omega]1))*p*Cos[2*\[CurlyPhi]1]*
- Cos[2*\[CurlyPhi]2]*((Sec[
- 2*l2*Pi]*(64*l1*l2*
- Pi*(16*\[Beta]1 -
- 16*\[Beta]2 - (k1 - k2)*(k1 + k2)*(2 +
- p)*\[Sigma]^2)*Sin[4*l2*\[Theta]1 - 4*\[Theta]3] +
- 32*l1*Pi*
- Cos[2*l2*Pi]^2*(-64*l2*(\[Beta]1 - \[Beta]2)*
- Cos[2*\[Theta]3]*Sin[2*l2*\[Theta]1] +
- 4*(k1 - k2)*(k1 + k2)*l2*(2 + p)*\[Sigma]^2*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3])))/
- (l1*(3*Sin[2*l2*Pi] + Sin[6*l2*Pi])) - (2048*l2*
- Pi*(-\[Beta]1 + \[Beta]2)*Cos[2*l2*Pi]*
- Cos[2*l2*\[Theta]1]*Sin[2*\[Theta]3])/(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])) +
- ((-2 + p)*p*\[Sigma]^2*
- Cos[4*\[CurlyPhi]1]*(-128*(3*(k1^2 + k2^2) + 8*k3^2)*
- l2^2*(-1 + l2^2)*Pi*Cos[4*\[Theta]3]*
- Sin[4*l2*\[Theta]1] + 64*l2*Cos[2*l2*Pi]*Cos[2*\[Theta]3]*
- (2*(-3*(k1^2 + k2^2) - 8*k3^2)*l2*(-1 + l2^2)*
- Pi*Sin[2*l2*(Pi - \[Theta]1)] -
- 4*k1*k3*(3*Sin[2*l2*Pi] + Sin[6*l2*Pi])*
- Sin[2*\[Theta]1] +
- 2*(3*(k1^2 + k2^2) + 8*k3^2)*l2*(-1 + l2^2)*Pi*
- Sin[2*l2*(Pi + \[Theta]1)]) -
- 64*l2*Cos[
- 2*l2*Pi]*(-6*k1^2*l2*Pi*Cos[2*l2*(Pi - \[Theta]1)] -
- 6*k2^2*l2*Pi*Cos[2*l2*(Pi - \[Theta]1)] -
- 16*k3^2*l2*Pi*Cos[2*l2*(Pi - \[Theta]1)] +
- 6*k1^2*l2^3*Pi*Cos[2*l2*(Pi - \[Theta]1)] +
- 6*k2^2*l2^3*Pi*Cos[2*l2*(Pi - \[Theta]1)] +
- 16*k3^2*l2^3*Pi*Cos[2*l2*(Pi - \[Theta]1)] +
- 2*(3*(k1^2 + k2^2) + 8*k3^2)*l2*(-1 + l2^2)*Pi*
- Cos[2*l2*(Pi + \[Theta]1)] -
- 6*k1*k3*l2*Sin[2*l2*Pi - 2*\[Theta]1] -
- 2*k1*k3*l2*Sin[6*l2*Pi - 2*\[Theta]1] -
- 6*k1*k3*l2*Sin[2*(l2*Pi + \[Theta]1)] -
- 2*k1*k3*l2*Sin[2*(3*l2*Pi + \[Theta]1)])*
- Sin[2*\[Theta]3] +
- 128*(3*(k1^2 + k2^2) + 8*k3^2)*l2^2*(-1 + l2^2)*Pi*
- Cos[4*l2*\[Theta]1]*Sin[4*\[Theta]3]))/(4096*
- l2*(-1 + l2^2)*\[Omega]1*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi])) +
- ((-2 + p)*p*\[Sigma]^2*Cos[4*\[CurlyPhi]1]*
- Cos[2*\[CurlyPhi]2]*(-256*(-k1^2 + k2^2)*l1*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*Pi*Cos[2*l2*Pi]^2*
- Cos[2*\[Theta]3]*Sin[2*l2*\[Theta]1] -
- 128*(k1 - k2)*(k1 + k2)*l1*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*Pi*Cos[4*\[Theta]3]*
- Sin[4*l2*\[Theta]1] -
- 256*(k1 - k2)*(k1 + k2)*l1*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*Pi*Cos[2*l2*Pi]^2*
- Cos[2*l2*\[Theta]1]*
- Sin[2*\[Theta]3] + (4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])*(-32*k1*k3*l1*(l1 - l2)*(l1 + l2)*
- Cos[2*\[Theta]3]*Sin[2*\[Theta]1] -
- 32*k1*k3*l1*l2*(-l1^2 + l2^2)*Cos[2*\[Theta]1]*
- Sin[2*\[Theta]3]) -
- 128*(-k1^2 + k2^2)*l1*(l1 - l2)*l2*(l1 + l2)*(-1 + l2^2)*
- Pi*Cos[4*l2*\[Theta]1]*Sin[4*\[Theta]3]))/(1024*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 + l2)*\[Omega]1*
- (4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])) + (1/(1024*\[Omega]1))*p*
- Cos[2*\[CurlyPhi]1]*((128*l2*
- Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*Cos[4*\[Theta]3]*
- Sin[4*l2*\[Theta]1])/(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi]) + (32*
- Cos[2*\[Theta]3]*(2*l2^2*
- Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*
- Sin[2*l2*(Pi - \[Theta]1)] -
- 2*l2^2*Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*
- Sin[2*l2*(Pi + \[Theta]1)]))/
- (l2*(3*Sin[2*l2*Pi] + Sin[6*l2*Pi])) - (32*
- Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*
- (-2*l2*Cos[2*l2*(Pi - \[Theta]1)] -
- 2*l2*Cos[2*l2*(Pi + \[Theta]1)])*
- Sin[2*\[Theta]3])/(3*Sin[2*l2*Pi] + Sin[6*l2*Pi]) -
- (128*l2*
- Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*Cos[4*l2*\[Theta]1]*
- Sin[4*\[Theta]3])/(4*Sin[4*l2*Pi] + Sin[8*l2*Pi])) +
- Cos[2*\[CurlyPhi]2]*((l2*p*
- Pi*(-64*\[Beta]1 +
- 64*\[Beta]2 + (k1 - k2)*(k1 + k2)*(10 +
- 3*p)*\[Sigma]^2)*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3])/
- (16*\[Omega]1*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])) - (3*l2*p*
- Pi*(-64*\[Beta]1 +
- 64*\[Beta]2 + (k1 - k2)*(k1 + k2)*(10 +
- 3*p)*\[Sigma]^2)*Cos[2*l2*\[Theta]1 - 2*\[Theta]3]*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3])/
- (16*\[Omega]1*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])) + (p*(16*k1*k3*
- l1*(-1 + l2)*(l2^2*(2 + 2*l2 - p) +
- l1^2*(1 + l2)*(-2 + p))*\[Sigma]^2*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3]*
- Sin[2*(-1 + l2)*\[Theta]1] +
- 16*k1*k3*l1*
- l2*(l2^2*(2 + 2*l2 - p) +
- l1^2*(1 + l2)*(-2 + p))*\[Sigma]^2*
- Cos[2*(-1 + l2)*\[Theta]1]*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3]))/(1024*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 + l2)*\[Omega]1) +
- (p*(8*k3*l1*(-2 + p)*\[Sigma]^2*
- Cos[2*\[Theta]3]*(-8*k2*(l1 - l2)*(-1 + l2^2)*
- Cos[2*(l1 - l2)*\[Theta]1]*Cos[2*\[Theta]2]*
- Sin[2*(l1 - l2)*\[Theta]1] +
- 16*k1*l2*(-l1 + l2)*Cos[2*\[Theta]1]*
- Cos[2*l2*\[Theta]1]*
- Sin[2*l2*\[Theta]1] -
- 8*k1*(-l1 + l2)*Sin[2*\[Theta]1]*
- Sin[2*l2*\[Theta]1]^2 +
- 4*k2*(l1 - l2)*(-1 + l2^2)*
- Cos[4*(l1 - l2)*\[Theta]1]*Sin[2*\[Theta]2]) +
- 64*k1*k3*l1*(l1 - l2)*l2*(-2 + p)*\[Sigma]^2*
- Cos[2*\[Theta]1]*Cos[2*l2*\[Theta]1]*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3] +
- 4*k1*l1*(l1 - l2)*(-2 + p)*\[Sigma]^2*Sin[2*\[Theta]1]*
- (16*k3*l2^2*Cos[2*l2*\[Theta]1]*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3] -
- 16*k3*l2^2*Sin[2*l2*\[Theta]1]*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3]) -
- 8*k3*l1*(-2 + p)*\[Sigma]^2*
- (8*k1*l2*(-l1 + l2)*Cos[2*\[Theta]1]*
- Cos[4*l2*\[Theta]1] +
- k2*(4*l1 - 4*l2)*(-1 + l2^2)*
- Cos[4*l1*\[Theta]1 - 4*l2*\[Theta]1 -
- 2*\[Theta]2] -
- 4*k1*(-l1 + l2)*Sin[2*\[Theta]1]*
- Sin[4*l2*\[Theta]1])*Sin[2*\[Theta]3]))/
- (2048*
- l1*(l1 - l2)*(-1 + l2)*(1 +
- l2)*\[Omega]1) + (p*(-4*k1*k3*l1*(-1 + l2)*l2^3*
- p*\[Sigma]^2*Cos[2*((-l2)*\[Theta]1 + \[Theta]3)]*
- Sin[2*(-1 + l2)*\[Theta]1] +
- 4*k1*k3*
- l1*(-1 + l2)*(1 + l2)*(-l1^2 + l2^2)*(-2 +
- p)*\[Sigma]^2*Cos[2*l2*\[Theta]1 - 2*\[Theta]3]*
- Sin[2*(1 + l2)*\[Theta]1] +
- 4*k1*k3*l1*(-1 + l2)*
- l2*(-l1^2 + l2^2)*(-2 + p)*\[Sigma]^2*
- Cos[2*(1 + l2)*\[Theta]1]*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3] +
- 4*k1*k3*l1*l2^4*p*\[Sigma]^2*Cos[2*(-1 + l2)*\[Theta]1]*
- Sin[2*((-l2)*\[Theta]1 + \[Theta]3)] -
- k2*k3*l1*(-1 + l2^2)*(-2 + p)*\[Sigma]^2*
- (-4*(l1 - l2)*(l1 + l2)*
- Cos[2*(l1*\[Theta]1 -
- l2*\[Theta]1 - \[Theta]2 + \[Theta]3)]*
- Sin[2*(l1 - l2)*\[Theta]1] -
- 4*(l1 - l2)*(l1 + l2)*Cos[2*(l1 - l2)*\[Theta]1]*
- Sin[2*(l1*\[Theta]1 -
- l2*\[Theta]1 - \[Theta]2 + \[Theta]3)])))/(256*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 + l2)*\[Omega]1))) +
- (1/2)*k3^2*\[Sigma]^2*
- Cos[\[Theta]3]^4*((3*(k1^2 + k2^2)*(-2 + p)*p*Pi*\[Sigma]^2*
- Cos[4*\[CurlyPhi]2]*
- Sec[
- 2*l2*Pi]*(-4*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3] +
- 12*Cos[2*l2*\[Theta]1 - 2*\[Theta]3]*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3]))/(512*\[Omega]1*(3*
- Sin[2*l2*Pi] + Sin[6*l2*Pi])) +
- ((k1^2 + k2^2)*(-2 + p)*p*Pi*\[Sigma]^2*
- Cos[2*\[CurlyPhi]1]*Cos[4*\[CurlyPhi]2]*
- Sec[2*l2*
- Pi]*(-4*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3] +
- 12*Cos[2*l2*\[Theta]1 - 2*\[Theta]3]*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3]))/(128*\[Omega]1*(3*
- Sin[2*l2*Pi] + Sin[6*l2*Pi])) +
- ((k1^2 + k2^2)*(-2 + p)*p*Pi*\[Sigma]^2*
- Cos[4*\[CurlyPhi]1]*Cos[4*\[CurlyPhi]2]*
- Sec[2*l2*
- Pi]*(-4*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3] +
- 12*Cos[2*l2*\[Theta]1 - 2*\[Theta]3]*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3]))/(512*\[Omega]1*(3*
- Sin[2*l2*Pi] + Sin[6*l2*Pi])) + (1/(256*\[Omega]1))*p*
- Cos[2*\[CurlyPhi]1]*Cos[2*\[CurlyPhi]2]*
- (-((2048*Pi*(-\[Beta]1 + \[Beta]2)*Cos[2*l2*Pi]*
- Cos[2*\[Theta]3]*Sin[2*l2*\[Theta]1])/(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])) +
- (Sec[
- 2*l2*Pi]*(-64*l1*
- Pi*(16*\[Beta]1 -
- 16*\[Beta]2 - (k1 - k2)*(k1 + k2)*(2 +
- p)*\[Sigma]^2)*
- Sin[4*l2*\[Theta]1 - 4*\[Theta]3] +
- 32*l1*Pi*Cos[2*l2*Pi]^2*
- (-4*(k1 - k2)*(k1 + k2)*(2 + p)*\[Sigma]^2*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3] -
- 64*(\[Beta]1 - \[Beta]2)*Cos[2*l2*\[Theta]1]*
- Sin[2*\[Theta]3])))/(l1*(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi]))) +
- ((-2 + p)*p*\[Sigma]^2*Cos[4*\[CurlyPhi]1]*
- Cos[2*\[CurlyPhi]2]*(-256*(k1 - k2)*(k1 + k2)*
- l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*Pi*Cos[2*l2*Pi]^2*
- Cos[2*\[Theta]3]*Sin[2*l2*\[Theta]1] -
- 128*(-k1^2 + k2^2)*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*Pi*
- Cos[4*\[Theta]3]*Sin[4*l2*\[Theta]1] -
- 256*(-k1^2 + k2^2)*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*Pi*
- Cos[2*l2*Pi]^2*Cos[2*l2*\[Theta]1]*
- Sin[2*\[Theta]3] + (4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])*(-32*k3*l1*l2*
- Cos[2*\[Theta]3]*(k1*(-l1^2 + l2^2)*Sin[2*\[Theta]1] -
- k2*(-1 + l2^2)*Sin[2*\[Theta]2]) -
- 32*k3*l1*(k1*(l1 - l2)*(l1 + l2)*Cos[2*\[Theta]1] +
- k2*l1*(-1 + l2^2)*Cos[2*\[Theta]2])*
- Sin[2*\[Theta]3]) -
- 128*(k1 - k2)*(k1 + k2)*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Pi*Cos[4*l2*\[Theta]1]*
- Sin[4*\[Theta]3]))/(1024*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 +
- l2)*\[Omega]1*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])) + (1/(1024*\[Omega]1))*p*Cos[2*\[CurlyPhi]1]*
- (-(128*
- Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*Cos[4*\[Theta]3]*
- Sin[4*l2*\[Theta]1])/(4*Sin[4*l2*Pi] + Sin[8*l2*Pi]) -
- (64*
- Cos[2*\[Theta]3]*(-8*h3*(3*Sin[2*l2*Pi] + Sin[6*l2*Pi]) +
- l2*Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*
- (Sin[2*l2*(Pi - \[Theta]1)] -
- Sin[2*l2*(Pi + \[Theta]1)])))/(l2*(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])) -
- (64*(l2*
- Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*
- Cos[2*l2*(Pi - \[Theta]1)] +
- l2*Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*
- Cos[2*l2*(Pi + \[Theta]1)] +
- 4*(2*\[Beta]3 + k3^2*\[Sigma]^2)*(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi]))*
- Sin[2*\[Theta]3])/(l2*(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])) + (128*(l2*
- Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*Cos[4*l2*\[Theta]1] +
- k3^2*(-2 + p)*\[Sigma]^2*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi]))*
- Sin[4*\[Theta]3])/(l2*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi]))) +
- ((-2 + p)*p*\[Sigma]^2*
- Cos[4*\[CurlyPhi]1]*(-128*k2*k3*l1*(-1 + l1^2)*
- l2^2*(-1 + l2^2)*
- Cos[2*\[Theta]3]*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi])*
- Sin[2*\[Theta]2] +
- 128*k2*k3*l1^2*(-1 + l1^2)*l2*(-1 + l2^2)*
- Cos[2*\[Theta]2]*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi])*
- Sin[2*\[Theta]3] + l1*(-1 + l1^2)*(l1 - l2)*(l1 + l2)*
- (128*(3*(k1^2 + k2^2) + 8*k3^2)*l2*(-1 + l2^2)*
- Pi*Cos[4*\[Theta]3]*Sin[4*l2*\[Theta]1] -
- 128*l2*Cos[2*l2*Pi]*
- Cos[2*\[Theta]3]*(-3*k1*k3*l2*
- Cos[2*l2*Pi - 2*\[Theta]1] -
- k1*k3*l2*Cos[6*l2*Pi - 2*\[Theta]1] +
- 3*k1*k3*l2*Cos[2*(l2*Pi + \[Theta]1)] +
- k1*k3*l2*Cos[2*(3*l2*Pi + \[Theta]1)] +
- 3*k1^2*Pi*Sin[2*l2*(Pi - \[Theta]1)] +
- 3*k2^2*Pi*Sin[2*l2*(Pi - \[Theta]1)] +
- 8*k3^2*Pi*Sin[2*l2*(Pi - \[Theta]1)] -
- 3*k1^2*l2^2*Pi*Sin[2*l2*(Pi - \[Theta]1)] -
- 3*k2^2*l2^2*Pi*Sin[2*l2*(Pi - \[Theta]1)] -
- 8*k3^2*l2^2*Pi*Sin[2*l2*(Pi - \[Theta]1)] +
- (3*(k1^2 + k2^2) + 8*k3^2)*(-1 + l2^2)*
- Pi*Sin[2*l2*(Pi + \[Theta]1)]) -
- 128*l2*Cos[
- 2*l2*Pi]*((-3*(k1^2 + k2^2) - 8*k3^2)*(-1 + l2^2)*Pi*
- Cos[2*l2*(Pi - \[Theta]1)] -
- (3*(k1^2 + k2^2) + 8*k3^2)*(-1 + l2^2)*
- Pi*Cos[2*l2*(Pi + \[Theta]1)] +
- 2*k1*k3*
- Cos[2*\[Theta]1]*(3*Sin[2*l2*Pi] + Sin[6*l2*Pi]))*
- Sin[2*\[Theta]3] -
- 128*(-1 +
- l2^2)*((3*(k1^2 + k2^2) + 8*k3^2)*l2*Pi*
- Cos[4*l2*\[Theta]1] +
- k3^2*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi]))*
- Sin[4*\[Theta]3])))/
- (4096*l1*(-1 + l1^2)*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*\[Omega]1*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])) +
- (p*(128*k1*k3*l1*(-1 + l1^2)*(l1 - l2)*
- l2*(l1 + l2)*(-2 + p)*\[Sigma]^2*Cos[2*\[Theta]1]*
- Sin[2*\[Theta]3] -
- 128*k2*k3*l1^2*(-1 + l1^2)*
- l2*(-1 + l2^2)*(-2 + p)*\[Sigma]^2*Cos[2*\[Theta]2]*
- Sin[2*\[Theta]3] +
- (-1 +
- l1^2)*(-128*
- Cos[2*\[Theta]3]*(16*h3*
- l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2) +
- k3*l1*l2^2*(-2 +
- p)*\[Sigma]^2*(k1*(l1 - l2)*(l1 + l2)*
- Sin[2*\[Theta]1] -
- k2*(-1 + l2^2)*Sin[2*\[Theta]2])) -
- (l1 - l2)*(l1 + l2)*(-1 +
- l2^2)*(-1024*l1*(2*\[Beta]3 + k3^2*\[Sigma]^2)*
- Sin[2*\[Theta]3] +
- 384*k3^2*l1*(-2 + p)*\[Sigma]^2*Sin[4*\[Theta]3]))))/
- (4096*l1*(-1 + l1^2)*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*\[Omega]1) +
- Cos[2*\[CurlyPhi]2]*(-(k1*
- k3*(l2^2*(2 + 2*l2 - p) + l1^2*(1 + l2)*(-2 + p))*
- p*\[Sigma]^2*Cos[2*(-1 + l2)*\[Theta]1]*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3])/(64*(l1 - l2)*(-1 +
- l2)*(1 + l2)*(l1 + l2)*\[Omega]1) +
- (1/64)*p*
- Pi*(-64*\[Beta]1 +
- 64*\[Beta]2 + (k1 - k2)*(k1 + k2)*(10 +
- 3*p)*\[Sigma]^2)*(-((4*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3])/
- (\[Omega]1*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi]))) + (12*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3]*
- Sin[2*l2*\[Theta]1 -
- 2*\[Theta]3])/(\[Omega]1*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi]))) +
- (p*(-64*k1*k3*l1*(l1 - l2)*l2*(-2 + p)*\[Sigma]^2*
- Cos[2*l2*\[Theta]1]*Cos[2*l2*\[Theta]1 - 2*\[Theta]3]*
- Sin[2*\[Theta]1] -
- 16*k3*l1*(-2 + p)*\[Sigma]^2*Cos[2*\[Theta]3]*
- (2*k1*(-l1 + l2)*Cos[2*\[Theta]1]*
- Sin[4*l2*\[Theta]1] +
- k2*(-1 +
- l2^2)*(Sin[
- 4*l1*\[Theta]1 - 4*l2*\[Theta]1 - 2*\[Theta]2] +
- Sin[2*\[Theta]2])) - 16*k3*l1*(-2 + p)*\[Sigma]^2*
- (-2*k2*(-1 + l2^2)*Cos[2*\[Theta]2]*
- Sin[2*(l1 - l2)*\[Theta]1]^2 +
- 4*k1*(-l1 + l2)*Cos[2*\[Theta]1]*
- Sin[2*l2*\[Theta]1]^2 +
- k2*(-1 + l2^2)*Sin[4*(l1 - l2)*\[Theta]1]*
- Sin[2*\[Theta]2])*Sin[2*\[Theta]3]))/
- (2048*
- l1*(l1 - l2)*(-1 + l2)*(1 +
- l2)*\[Omega]1) + (p*(-4*k1*k3*
- l1*(-1 + l2)*(-l1^2 + l2^2)*(-2 + p)*\[Sigma]^2*
- Cos[2*(1 + l2)*\[Theta]1]*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3] -
- 4*k1*k3*l1*l2^3*p*\[Sigma]^2*Cos[2*(-1 + l2)*\[Theta]1]*
- Sin[2*((-l2)*\[Theta]1 + \[Theta]3)] -
- k2*k3*l1*(-1 + l2^2)*(-2 + p)*\[Sigma]^2*
- (-4*(l1 + l2)*Cos[2*(l1 - l2)*\[Theta]1]*
- Sin[2*(l1*\[Theta]1 -
- l2*\[Theta]1 - \[Theta]2 + \[Theta]3)] -
- 4*(l1 - l2)*Sin[2*(\[Theta]2 + \[Theta]3)])))/(256*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 + l2)*\[Omega]1)) +
- ((l2*
- p*((-l1)*((-h2)*l1 + h3*l2)*Cos[\[Theta]2]*
- Cos[\[Theta]3] + (l2^2*\[Beta]2 + l1^2*\[Beta]3)*
- Cos[\[Theta]3]*Sin[\[Theta]2]) -
- l1*p*((l2^2*\[Beta]2 + l1^2*\[Beta]3)*Cos[\[Theta]2] +
- l2*(h3*l1 - h2*l2)*Sin[\[Theta]2])*
- Sin[\[Theta]3])*Sin[2*\[CurlyPhi]1]*
- Sin[\[CurlyPhi]2])/(2*l1*(l1 - l2)*
- l2*(l1 + l2)*\[Omega]1)) +
- k2*k3*\[Sigma]^2*Cos[\[Theta]2]^2*Cos[\[Theta]3]^2*
- (((-2 + p)*p*\[Sigma]^2*Cos[4*\[CurlyPhi]1]*
- Cos[2*\[CurlyPhi]2]*(-32*k2*k3*l1^2*(-1 + l2^2)*
- Cos[2*\[Theta]3]*Sin[2*\[Theta]2] +
- 32*k2*k3*l1*l2*(-1 + l2^2)*Cos[2*\[Theta]2]*
- Sin[2*\[Theta]3]))/
- (1024*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 +
- l2)*\[Omega]1) + (p*(-128*k2*k3*l1^2*(-1 + l1^2)*
- l2*(-1 + l2^2)*(-2 + p)*\[Sigma]^2*Cos[2*\[Theta]3]*
- Sin[2*\[Theta]2] +
- 128*k2*k3*l1*(-1 + l1^2)*
- l2^2*(-1 + l2^2)*(-2 + p)*\[Sigma]^2*Cos[2*\[Theta]2]*
- Sin[2*\[Theta]3]))/(4096*l1*(-1 + l1^2)*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*\[Omega]1) +
- ((-2 + p)*p*\[Sigma]^2*
- Cos[4*\[CurlyPhi]1]*(128*k2*k3*l1^2*(-1 + l1^2)*
- l2*(-1 + l2^2)*
- Cos[2*\[Theta]3]*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi])*
- Sin[2*\[Theta]2] -
- 128*k2*k3*l1*(-1 + l1^2)*l2^2*(-1 + l2^2)*
- Cos[2*\[Theta]2]*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi])*
- Sin[2*\[Theta]3]))/(4096*l1*(-1 + l1^2)*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*\[Omega]1*
- (4*Sin[4*l2*Pi] + Sin[8*l2*Pi])) +
- Cos[2*\[CurlyPhi]2]*((p*(8*k3*l1*(-2 + p)*\[Sigma]^2*
- Cos[2*\[Theta]3]*(2*k2*(-1 + l2^2)*Cos[2*\[Theta]2]*
- Sin[4*(l1 - l2)*\[Theta]1] +
- 4*k2*(-1 + l2^2)*Sin[2*(l1 - l2)*\[Theta]1]^2*
- Sin[2*\[Theta]2]) -
- 8*k2*k3*
- l1*(-1 + l2^2)*(-2 +
- p)*\[Sigma]^2*(-2*
- Cos[4*l1*\[Theta]1 - 4*l2*\[Theta]1 -
- 2*\[Theta]2] + 2*Cos[2*\[Theta]2])*
- Sin[2*\[Theta]3]))/
- (2048*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*\[Omega]1) - (k2*
- k3*(-1 + l2^2)*(-2 + p)*
- p*\[Sigma]^2*(4*(l1 + l2)*Cos[2*(l1 - l2)*\[Theta]1]*
- Sin[2*(l1*\[Theta]1 -
- l2*\[Theta]1 - \[Theta]2 + \[Theta]3)] -
- 4*(l1 - l2)*Sin[2*(\[Theta]2 + \[Theta]3)]))/(256*(l1 -
- l2)*(-1 + l2)*(1 + l2)*(l1 + l2)*\[Omega]1)) +
- ((l1*p*
- Cos[\[Theta]3]*(l2*(h3*l1 - h2*l2)*
- Cos[\[Theta]2] - (l2^2*\[Beta]2 + l1^2*\[Beta]3)*
- Sin[\[Theta]2]) +
- l2*p*((l2^2*\[Beta]2 + l1^2*\[Beta]3)*Cos[\[Theta]2]*
- Sin[\[Theta]3] +
- l1*((-h2)*l1 + h3*l2)*Sin[\[Theta]2]*Sin[\[Theta]3]))*
- Sin[2*\[CurlyPhi]1]*Sin[\[CurlyPhi]2])/(2*l1*(l1 - l2)*
- l2*(l1 + l2)*\[Omega]1)) + (1/2)*k3*\[Sigma]^2*
- Cos[\[Theta]3]^2*Cos[\[CurlyPhi]1]*Sin[\[CurlyPhi]1]*
- (-((k1^2 + k2^2)*(-2 + p)*p*\[Sigma]^2*Cos[4*\[CurlyPhi]2]*
- Sec[2*l2*
- Pi]*(-8*
- Pi*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3] -
- 8*Pi*Sin[2*l2*\[Theta]1 - 2*\[Theta]3]^2)*
- Sin[2*\[CurlyPhi]1])/(256*\[Omega]1*(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])) - (1/(128*\[Omega]1))*p*Cos[2*\[CurlyPhi]2]*
- (((-16*l1*
- Pi*(16*\[Beta]1 -
- 16*\[Beta]2 - (k1 - k2)*(k1 + k2)*(2 +
- p)*\[Sigma]^2)*
- Cos[4*l2*\[Theta]1 - 4*\[Theta]3] +
- 32*l1*Pi*Cos[2*l2*Pi]^2*
- (-2*(k1 - k2)*(k1 + k2)*(2 + p)*\[Sigma]^2*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3] +
- 32*(\[Beta]1 - \[Beta]2)*Cos[2*l2*\[Theta]1]*
- Cos[2*\[Theta]3]))*
- Sec[2*l2*Pi])/(l1*(3*Sin[2*l2*Pi] + Sin[6*l2*Pi])) -
- (1024*Pi*(-\[Beta]1 + \[Beta]2)*Cos[2*l2*Pi]*
- Sin[2*l2*\[Theta]1]*Sin[2*\[Theta]3])/(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi]))*Sin[2*\[CurlyPhi]1] -
- (1/(512*\[Omega]1))*
- p*((32*Cos[
- 2*\[Theta]3]*(l2*
- Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*
- Cos[2*l2*(Pi - \[Theta]1)] +
- l2*Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*
- Cos[2*l2*(Pi + \[Theta]1)] +
- 4*(2*\[Beta]3 + k3^2*\[Sigma]^2)*(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])))/
- (l2*(3*Sin[2*l2*Pi] + Sin[6*l2*Pi])) - (32*
- Cos[4*\[Theta]3]*(l2*
- Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*Cos[4*l2*\[Theta]1] +
- k3^2*(-2 + p)*\[Sigma]^2*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])))/(l2*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])) -
- (32*(-8*h3*(3*Sin[2*l2*Pi] + Sin[6*l2*Pi]) +
- l2*Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*
- (Sin[2*l2*(Pi - \[Theta]1)] -
- Sin[2*l2*(Pi + \[Theta]1)]))*
- Sin[2*\[Theta]3])/(l2*(3*Sin[2*l2*Pi] + Sin[6*l2*Pi])) -
- (32*
- Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*Sin[4*l2*\[Theta]1]*
- Sin[4*\[Theta]3])/(4*Sin[4*l2*Pi] + Sin[8*l2*Pi]))*
- Sin[2*\[CurlyPhi]1] -
- ((k1^2 + k2^2)*(-2 + p)*p*\[Sigma]^2*Cos[4*\[CurlyPhi]2]*
- Sec[2*l2*
- Pi]*(-8*
- Pi*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3] -
- 8*Pi*Sin[2*l2*\[Theta]1 - 2*\[Theta]3]^2)*
- Sin[4*\[CurlyPhi]1])/(512*\[Omega]1*(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])) - ((-2 + p)*p*\[Sigma]^2*
- Cos[2*\[CurlyPhi]2]*(128*(-k1^2 + k2^2)*
- l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*Pi*Cos[2*l2*Pi]^2*
- Cos[2*l2*\[Theta]1]*
- Cos[2*\[Theta]3] +
- 32*(k1 - k2)*(k1 + k2)*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Pi*Cos[4*l2*\[Theta]1]*Cos[4*\[Theta]3] -
- 128*(k1 - k2)*(k1 + k2)*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Pi*
- Cos[2*l2*Pi]^2*Sin[2*l2*\[Theta]1]*
- Sin[2*\[Theta]3] + (4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])*(16*k3*
- l1*(k1*(l1 - l2)*(l1 + l2)*Cos[2*\[Theta]1] +
- k2*l1*(-1 + l2^2)*Cos[2*\[Theta]2])*
- Cos[2*\[Theta]3] -
- 16*k3*l1*
- l2*(k1*(-l1^2 + l2^2)*Sin[2*\[Theta]1] -
- k2*(-1 + l2^2)*Sin[2*\[Theta]2])*Sin[2*\[Theta]3]) -
- 32*(-k1^2 + k2^2)*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*Pi*
- Sin[4*l2*\[Theta]1]*Sin[4*\[Theta]3])*
- Sin[4*\[CurlyPhi]1])/(256*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 +
- l2)*\[Omega]1*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi])) -
- ((-2 + p)*
- p*\[Sigma]^2*(-64*k2*k3*l1^2*(-1 + l1^2)*l2*(-1 + l2^2)*
- Cos[2*\[Theta]2]*
- Cos[2*\[Theta]3]*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi]) -
- 64*k2*k3*l1*(-1 + l1^2)*l2^2*(-1 + l2^2)*
- (4*Sin[4*l2*Pi] + Sin[8*l2*Pi])*
- Sin[2*\[Theta]2]*Sin[2*\[Theta]3] +
- l1*(-1 + l1^2)*(l1 - l2)*(l1 + l2)*
- (64*l2*Cos[2*l2*Pi]*
- Cos[2*\[Theta]3]*((-3*(k1^2 + k2^2) - 8*k3^2)*(-1 +
- l2^2)*Pi*
- Cos[2*l2*(Pi - \[Theta]1)] - (3*(k1^2 + k2^2) +
- 8*k3^2)*(-1 + l2^2)*Pi*
- Cos[2*l2*(Pi + \[Theta]1)] +
- 2*k1*k3*
- Cos[2*\[Theta]1]*(3*Sin[2*l2*Pi] + Sin[6*l2*Pi])) +
- 32*(-1 + l2^2)*
- Cos[4*\[Theta]3]*((3*(k1^2 + k2^2) + 8*k3^2)*l2*Pi*
- Cos[4*l2*\[Theta]1] +
- k3^2*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi])) -
- 64*l2*Cos[
- 2*l2*Pi]*(-3*k1*k3*l2*Cos[2*l2*Pi - 2*\[Theta]1] -
- k1*k3*l2*Cos[6*l2*Pi - 2*\[Theta]1] +
- 3*k1*k3*l2*Cos[2*(l2*Pi + \[Theta]1)] +
- k1*k3*l2*Cos[2*(3*l2*Pi + \[Theta]1)] +
- 3*k1^2*Pi*Sin[2*l2*(Pi - \[Theta]1)] +
- 3*k2^2*Pi*Sin[2*l2*(Pi - \[Theta]1)] +
- 8*k3^2*Pi*Sin[2*l2*(Pi - \[Theta]1)] -
- 3*k1^2*l2^2*Pi*Sin[2*l2*(Pi - \[Theta]1)] -
- 3*k2^2*l2^2*Pi*Sin[2*l2*(Pi - \[Theta]1)] -
- 8*k3^2*l2^2*Pi*
- Sin[2*l2*(Pi - \[Theta]1)] + (3*(k1^2 + k2^2) +
- 8*k3^2)*(-1 + l2^2)*Pi*
- Sin[2*l2*(Pi + \[Theta]1)])*Sin[2*\[Theta]3] +
- 32*(3*(k1^2 + k2^2) + 8*k3^2)*l2*(-1 + l2^2)*Pi*
- Sin[4*l2*\[Theta]1]*Sin[4*\[Theta]3]))*
- Sin[4*\[CurlyPhi]1])/(1024*l1*(-1 + l1^2)*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*\[Omega]1*
- (4*Sin[4*l2*Pi] + Sin[8*l2*Pi])) + (Cos[
- 2*\[CurlyPhi]1]*(l1*p*
- Cos[\[Theta]3]*((l2^2*\[Beta]2 + l1^2*\[Beta]3)*
- Cos[\[Theta]2] + l2*(h3*l1 - h2*l2)*Sin[\[Theta]2]) +
- l2*p*((-l1)*((-h2)*l1 + h3*l2)*Cos[\[Theta]2]*
- Sin[\[Theta]3] + (l2^2*\[Beta]2 + l1^2*\[Beta]3)*
- Sin[\[Theta]2]*Sin[\[Theta]3]))*
- Sin[\[CurlyPhi]2])/(l1*(l1 - l2)*l2*(l1 + l2)*\[Omega]1))*
- ((-k1)*Cos[\[CurlyPhi]2]^2*Sin[2*\[Theta]1] +
- k3*Sin[2*\[Theta]3] -
- 2*k2*Cos[\[Theta]2]*Sin[\[Theta]2]*Sin[\[CurlyPhi]2]^2) +
- (1/(2*\[Omega]3))*
- Cos[\[Theta]3]*((3*(k1^2 + k2^2)*(-2 + p)*p*\[Sigma]^2*
- Cos[4*\[CurlyPhi]2]*
- Sec[2*l2*
- Pi]*(-8*
- Pi*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3] -
- 8*Pi*Sin[
- 2*l2*\[Theta]1 - 2*\[Theta]3]^2))/(2048*\[Omega]1*(3*
- Sin[2*l2*Pi] + Sin[6*l2*Pi])) + ((k1^2 + k2^2)*(-2 + p)*
- p*\[Sigma]^2*Cos[2*\[CurlyPhi]1]*Cos[4*\[CurlyPhi]2]*
- Sec[2*l2*Pi]*
- (-8*
- Pi*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3] -
- 8*Pi*Sin[
- 2*l2*\[Theta]1 - 2*\[Theta]3]^2))/(512*\[Omega]1*(3*
- Sin[2*l2*Pi] + Sin[6*l2*Pi])) +
- ((k1^2 + k2^2)*(-2 + p)*p*\[Sigma]^2*Cos[4*\[CurlyPhi]1]*
- Cos[4*\[CurlyPhi]2]*
- Sec[2*l2*
- Pi]*(-8*
- Pi*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3] -
- 8*Pi*Sin[
- 2*l2*\[Theta]1 - 2*\[Theta]3]^2))/(2048*\[Omega]1*(3*
- Sin[2*l2*Pi] + Sin[6*l2*Pi])) + (1/(256*\[Omega]1))*p*
- Cos[2*\[CurlyPhi]1]*Cos[2*\[CurlyPhi]2]*
- (((-16*l1*
- Pi*(16*\[Beta]1 -
- 16*\[Beta]2 - (k1 - k2)*(k1 + k2)*(2 +
- p)*\[Sigma]^2)*
- Cos[4*l2*\[Theta]1 - 4*\[Theta]3] +
- 32*l1*Pi*Cos[2*l2*Pi]^2*
- (-2*(k1 - k2)*(k1 + k2)*(2 + p)*\[Sigma]^2*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3] +
- 32*(\[Beta]1 - \[Beta]2)*Cos[2*l2*\[Theta]1]*
- Cos[2*\[Theta]3]))*
- Sec[2*l2*Pi])/(l1*(3*Sin[2*l2*Pi] + Sin[6*l2*Pi])) -
- (1024*Pi*(-\[Beta]1 + \[Beta]2)*Cos[2*l2*Pi]*
- Sin[2*l2*\[Theta]1]*Sin[2*\[Theta]3])/(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])) +
- Cos[2*\[CurlyPhi]2]*(-(k1*
- k3*(l2^2*(2 + 2*l2 - p) + l1^2*(1 + l2)*(-2 + p))*
- p*\[Sigma]^2*Cos[2*(-1 + l2)*\[Theta]1]*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])/(128*(l1 - l2)*(-1 +
- l2)*(1 + l2)*(l1 + l2)*\[Omega]1) +
- (p*(-2*k1*k3*
- l1*(-1 + l2)*(-l1^2 + l2^2)*(-2 + p)*\[Sigma]^2*
- Cos[2*(1 + l2)*\[Theta]1]*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3] +
- 2*k1*k3*l1*l2^3*p*\[Sigma]^2*Cos[2*(-1 + l2)*\[Theta]1]*
- Cos[2*((-l2)*\[Theta]1 + \[Theta]3)] -
- k2*k3*l1*(-1 + l2^2)*(-2 +
- p)*\[Sigma]^2*(2*(l1 + l2)*
- Cos[2*(l1 - l2)*\[Theta]1]*
- Cos[2*(l1*\[Theta]1 -
- l2*\[Theta]1 - \[Theta]2 + \[Theta]3)] +
- 2*(l1 - l2)*Cos[2*(\[Theta]2 + \[Theta]3)])))/
- (256*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 + l2)*\[Omega]1) - (p*
- Pi*(-64*\[Beta]1 +
- 64*\[Beta]2 + (k1 - k2)*(k1 + k2)*(10 +
- 3*p)*\[Sigma]^2)*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Cos[2*l2*\[Theta]1 -
- 2*\[Theta]3])/(32*\[Omega]1*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])) - (p*
- Pi*(-64*\[Beta]1 +
- 64*\[Beta]2 + (k1 - k2)*(k1 + k2)*(10 +
- 3*p)*\[Sigma]^2)*Sin[2*l2*\[Theta]1 - 2*\[Theta]3]^2)/
- (32*\[Omega]1*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])) + (p*(8*k3*l1*(-2 + p)*\[Sigma]^2*
- Cos[2*\[Theta]3]*(-2*k2*(-1 + l2^2)*Cos[2*\[Theta]2]*
- Sin[2*(l1 - l2)*\[Theta]1]^2 +
- 4*k1*(-l1 + l2)*Cos[2*\[Theta]1]*
- Sin[2*l2*\[Theta]1]^2 +
- k2*(-1 + l2^2)*Sin[4*(l1 - l2)*\[Theta]1]*
- Sin[2*\[Theta]2]) +
- 32*k1*k3*l1*(l1 - l2)*l2*(-2 + p)*\[Sigma]^2*
- Cos[2*l2*\[Theta]1]*Sin[2*\[Theta]1]*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3] -
- 8*k3*l1*(-2 +
- p)*\[Sigma]^2*(2*k1*(-l1 + l2)*Cos[2*\[Theta]1]*
- Sin[4*l2*\[Theta]1] +
- k2*(-1 +
- l2^2)*(Sin[
- 4*l1*\[Theta]1 - 4*l2*\[Theta]1 - 2*\[Theta]2] +
- Sin[2*\[Theta]2]))*
- Sin[2*\[Theta]3]))/(2048*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*\[Omega]1)) + (p*(-64*k1*
- k3*l1*(-1 + l1^2)*(l1 - l2)*
- l2*(l1 + l2)*(-2 + p)*\[Sigma]^2*Cos[2*\[Theta]1]*
- Cos[2*\[Theta]3] +
- 64*k2*k3*l1^2*(-1 + l1^2)*
- l2*(-1 + l2^2)*(-2 + p)*\[Sigma]^2*Cos[2*\[Theta]2]*
- Cos[2*\[Theta]3] +
- (-1 +
- l1^2)*((-(l1 - l2))*(l1 + l2)*(-1 +
- l2^2)*(512*l1*(2*\[Beta]3 + k3^2*\[Sigma]^2)*
- Cos[2*\[Theta]3] -
- 96*k3^2*l1*(-2 + p)*\[Sigma]^2*Cos[4*\[Theta]3]) -
- 64*(16*h3*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2) +
- k3*l1*l2^2*(-2 +
- p)*\[Sigma]^2*(k1*(l1 - l2)*(l1 + l2)*
- Sin[2*\[Theta]1] -
- k2*(-1 + l2^2)*Sin[2*\[Theta]2]))*
- Sin[2*\[Theta]3])))/
- (4096*l1*(-1 + l1^2)*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*\[Omega]1) + ((-2 + p)*p*\[Sigma]^2*
- Cos[4*\[CurlyPhi]1]*Cos[2*\[CurlyPhi]2]*
- (128*(-k1^2 + k2^2)*
- l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*Pi*Cos[2*l2*Pi]^2*
- Cos[2*l2*\[Theta]1]*Cos[2*\[Theta]3] +
- 32*(k1 - k2)*(k1 + k2)*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Pi*Cos[4*l2*\[Theta]1]*
- Cos[4*\[Theta]3] -
- 128*(k1 - k2)*(k1 + k2)*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Pi*Cos[2*l2*Pi]^2*Sin[2*l2*\[Theta]1]*Sin[2*\[Theta]3] +
- (4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])*(16*k3*
- l1*(k1*(l1 - l2)*(l1 + l2)*Cos[2*\[Theta]1] +
- k2*l1*(-1 + l2^2)*Cos[2*\[Theta]2])*
- Cos[2*\[Theta]3] -
- 16*k3*l1*
- l2*(k1*(-l1^2 + l2^2)*Sin[2*\[Theta]1] -
- k2*(-1 + l2^2)*Sin[2*\[Theta]2])*Sin[2*\[Theta]3]) -
- 32*(-k1^2 + k2^2)*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*Pi*
- Sin[4*l2*\[Theta]1]*Sin[4*\[Theta]3]))/
- (1024*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 +
- l2)*\[Omega]1*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])) + (1/(1024*\[Omega]1))*p*Cos[2*\[CurlyPhi]1]*
- ((32*
- Cos[2*\[Theta]3]*(l2*
- Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*
- Cos[2*l2*(Pi - \[Theta]1)] +
- l2*Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*
- Cos[2*l2*(Pi + \[Theta]1)] +
- 4*(2*\[Beta]3 + k3^2*\[Sigma]^2)*(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])))/
- (l2*(3*Sin[2*l2*Pi] + Sin[6*l2*Pi])) - (32*
- Cos[4*\[Theta]3]*(l2*
- Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*Cos[4*l2*\[Theta]1] +
- k3^2*(-2 + p)*\[Sigma]^2*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])))/(l2*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])) -
- (32*(-8*h3*(3*Sin[2*l2*Pi] + Sin[6*l2*Pi]) +
- l2*Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*
- (Sin[2*l2*(Pi - \[Theta]1)] -
- Sin[2*l2*(Pi + \[Theta]1)]))*
- Sin[2*\[Theta]3])/(l2*(3*Sin[2*l2*Pi] + Sin[6*l2*Pi])) -
- (32*
- Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*Sin[4*l2*\[Theta]1]*
- Sin[4*\[Theta]3])/(4*Sin[4*l2*Pi] + Sin[8*l2*Pi])) +
- ((-2 + p)*p*\[Sigma]^2*
- Cos[4*\[CurlyPhi]1]*(-64*k2*k3*l1^2*(-1 + l1^2)*
- l2*(-1 + l2^2)*Cos[2*\[Theta]2]*
- Cos[2*\[Theta]3]*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi]) -
- 64*k2*k3*l1*(-1 + l1^2)*
- l2^2*(-1 + l2^2)*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi])*
- Sin[2*\[Theta]2]*Sin[2*\[Theta]3] +
- l1*(-1 + l1^2)*(l1 - l2)*(l1 + l2)*
- (64*l2*Cos[2*l2*Pi]*
- Cos[2*\[Theta]3]*((-3*(k1^2 + k2^2) - 8*k3^2)*(-1 +
- l2^2)*Pi*
- Cos[2*l2*(Pi - \[Theta]1)] - (3*(k1^2 + k2^2) +
- 8*k3^2)*(-1 + l2^2)*Pi*
- Cos[2*l2*(Pi + \[Theta]1)] +
- 2*k1*k3*
- Cos[2*\[Theta]1]*(3*Sin[2*l2*Pi] + Sin[6*l2*Pi])) +
- 32*(-1 + l2^2)*
- Cos[4*\[Theta]3]*((3*(k1^2 + k2^2) + 8*k3^2)*l2*Pi*
- Cos[4*l2*\[Theta]1] +
- k3^2*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi])) -
- 64*l2*Cos[
- 2*l2*Pi]*(-3*k1*k3*l2*Cos[2*l2*Pi - 2*\[Theta]1] -
- k1*k3*l2*Cos[6*l2*Pi - 2*\[Theta]1] +
- 3*k1*k3*l2*Cos[2*(l2*Pi + \[Theta]1)] +
- k1*k3*l2*Cos[2*(3*l2*Pi + \[Theta]1)] +
- 3*k1^2*Pi*Sin[2*l2*(Pi - \[Theta]1)] +
- 3*k2^2*Pi*Sin[2*l2*(Pi - \[Theta]1)] +
- 8*k3^2*Pi*Sin[2*l2*(Pi - \[Theta]1)] -
- 3*k1^2*l2^2*Pi*Sin[2*l2*(Pi - \[Theta]1)] -
- 3*k2^2*l2^2*Pi*Sin[2*l2*(Pi - \[Theta]1)] -
- 8*k3^2*l2^2*Pi*
- Sin[2*l2*(Pi - \[Theta]1)] + (3*(k1^2 + k2^2) +
- 8*k3^2)*(-1 + l2^2)*Pi*
- Sin[2*l2*(Pi + \[Theta]1)])*Sin[2*\[Theta]3] +
- 32*(3*(k1^2 + k2^2) + 8*k3^2)*l2*(-1 + l2^2)*Pi*
- Sin[4*l2*\[Theta]1]*Sin[4*\[Theta]3])))/(4096*
- l1*(-1 + l1^2)*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*\[Omega]1*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])) +
- ((l1*p*
- Cos[\[Theta]3]*((l2^2*\[Beta]2 + l1^2*\[Beta]3)*
- Cos[\[Theta]2] + l2*(h3*l1 - h2*l2)*Sin[\[Theta]2]) +
- l2*p*((-l1)*((-h2)*l1 + h3*l2)*Cos[\[Theta]2]*
- Sin[\[Theta]3] +
- (l2^2*\[Beta]2 + l1^2*\[Beta]3)*
- Sin[\[Theta]2]*Sin[\[Theta]3]))*Sin[2*\[CurlyPhi]1]*
- Sin[\[CurlyPhi]2])/(2*l1*(l1 - l2)*l2*(l1 + l2)*\[Omega]1))*
- (-2*\[Beta]3*\[Omega]3*Sin[\[Theta]3] +
- k3^2*\[Sigma]^2*\[Omega]3*
- Cos[\[Theta]3]^2*(-2 + p - p*Cos[2*\[CurlyPhi]1])*
- Sin[\[Theta]3] +
- 2*Cot[\[CurlyPhi]1]*((-h3)*\[Omega]3*
- Cos[\[Theta]2] + \[Beta]3*\[Omega]2*Sin[\[Theta]2])*
- Sin[\[CurlyPhi]2] +
- \[Omega]3*
- Cos[\[Theta]3]*(2*h3 +
- k3*p*\[Sigma]^2*
- Cos[\[CurlyPhi]1]^2*(k1*Cos[\[CurlyPhi]2]^2*
- Sin[2*\[Theta]1] +
- k2*Sin[2*\[Theta]2]*Sin[\[CurlyPhi]2]^2))) +
- (1/2)*k1^2*\[Sigma]^2*
- Cos[\[Theta]1]^4*((1/(4096*\[Omega]1))*3*(-2 + p)*p*\[Sigma]^2*
- Cos[4*\[CurlyPhi]2]*((32*k1*k2*l1*Cos[2*\[Theta]2]*
- Sin[2*\[Theta]1])/(-1 + l1^2) - 16*k1^2*Sin[4*\[Theta]1] -
- (32*k1*k2*Cos[2*\[Theta]1]*Sin[2*\[Theta]2])/(-1 +
- l1^2) + (8*(k1^2 + k2^2)*Pi*
- Sec[2*l2*
- Pi]*(-4*
- l2^2*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3] +
- 12*l2^2*Cos[2*l2*\[Theta]1 - 2*\[Theta]3]*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3]))/(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])) + (1/(1024*\[Omega]1))*(-2 + p)*
- p*\[Sigma]^2*Cos[2*\[CurlyPhi]1]*Cos[4*\[CurlyPhi]2]*
- ((32*k1*k2*l1*Cos[2*\[Theta]2]*Sin[2*\[Theta]1])/(-1 +
- l1^2) -
- 16*k1^2*Sin[
- 4*\[Theta]1] - (32*k1*k2*Cos[2*\[Theta]1]*
- Sin[2*\[Theta]2])/(-1 + l1^2) +
- (8*(k1^2 + k2^2)*Pi*
- Sec[2*l2*
- Pi]*(-4*
- l2^2*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3] +
- 12*l2^2*Cos[2*l2*\[Theta]1 - 2*\[Theta]3]*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3]))/
- (3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])) + (1/(4096*\[Omega]1))*(-2 + p)*
- p*\[Sigma]^2*Cos[4*\[CurlyPhi]1]*
- Cos[4*\[CurlyPhi]2]*((32*k1*k2*l1*Cos[2*\[Theta]2]*
- Sin[2*\[Theta]1])/(-1 + l1^2) - 16*k1^2*Sin[4*\[Theta]1] -
- (32*k1*k2*Cos[2*\[Theta]1]*Sin[2*\[Theta]2])/(-1 +
- l1^2) + (8*(k1^2 + k2^2)*Pi*
- Sec[2*l2*
- Pi]*(-4*
- l2^2*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3] +
- 12*l2^2*Cos[2*l2*\[Theta]1 - 2*\[Theta]3]*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3]))/(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])) +
- (p*(-96*k1*k2*l1^2*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*(-2 + p)*\[Sigma]^2*
- Cos[2*\[Theta]2]*Sin[2*\[Theta]1] +
- (-1 +
- l1^2)*(-128*k1*k3*l1*(l1 - l2)*
- l2^2*(l1 + l2)*(-2 + p)*\[Sigma]^2*Cos[2*\[Theta]3]*
- Sin[2*\[Theta]1] - (l1 - l2)*
- l2*(l1 + l2)*(-1 +
- l2^2)*(-512*l1*(4*\[Beta]1 + k1^2*\[Sigma]^2)*
- Sin[2*\[Theta]1] +
- 144*k1^2*l1*(-2 + p)*\[Sigma]^2*Sin[4*\[Theta]1])) -
- 32*l1*(l1 - l2)*l2*(l1 + l2)*
- Cos[2*\[Theta]1]*(64*h1*(-1 + l1^2)*(-1 + l2^2) +
- k1*(-2 +
- p)*\[Sigma]^2*(-3*k2*(-1 + l2^2)*Sin[2*\[Theta]2] -
- 4*k3*(-1 + l1^2)*Sin[2*\[Theta]3]))))/(4096*
- l1*(-1 + l1^2)*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*\[Omega]1) +
- (1/(256*\[Omega]1))*p*Cos[2*\[CurlyPhi]1]*
- Cos[2*\[CurlyPhi]2]*(-128*h1*Cos[2*\[Theta]1] +
- 32*(4*\[Beta]1 + k1^2*\[Sigma]^2)*
- Sin[2*\[Theta]1] - (2048*l2^2*Pi*(-\[Beta]1 + \[Beta]2)*
- Cos[2*l2*Pi]*Cos[2*\[Theta]3]*Sin[2*l2*\[Theta]1])/
- (3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi]) + (Sec[
- 2*l2*Pi]*(-16*k1^2*l1*(-2 + p)*\[Sigma]^2*
- Cos[2*l2*Pi]*(3*Sin[2*l2*Pi] + Sin[6*l2*Pi])*
- Sin[4*\[Theta]1] -
- 64*l1*l2^2*
- Pi*(16*\[Beta]1 -
- 16*\[Beta]2 - (k1 - k2)*(k1 + k2)*(2 +
- p)*\[Sigma]^2)*
- Sin[4*l2*\[Theta]1 - 4*\[Theta]3] +
- 32*l1*Pi*Cos[2*l2*Pi]^2*
- (-4*(k1 - k2)*(k1 + k2)*
- l2^2*(2 + p)*\[Sigma]^2*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3] -
- 64*l2^2*(\[Beta]1 - \[Beta]2)*Cos[2*l2*\[Theta]1]*
- Sin[2*\[Theta]3])))/(l1*(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi]))) +
- ((-2 + p)*p*\[Sigma]^2*Cos[4*\[CurlyPhi]1]*
- Cos[2*\[CurlyPhi]2]*(-256*(k1 - k2)*(k1 + k2)*l1*(l1 - l2)*
- l2^2*(l1 + l2)*(-1 + l2^2)*Pi*Cos[2*l2*Pi]^2*
- Cos[2*\[Theta]3]*Sin[2*l2*\[Theta]1] -
- 128*(-k1^2 + k2^2)*l1*(l1 - l2)*l2^2*(l1 + l2)*(-1 + l2^2)*
- Pi*Cos[4*\[Theta]3]*Sin[4*l2*\[Theta]1] -
- 256*(-k1^2 + k2^2)*l1*(l1 - l2)*l2^2*(l1 + l2)*(-1 + l2^2)*
- Pi*Cos[2*l2*Pi]^2*
- Cos[2*l2*\[Theta]1]*
- Sin[2*\[Theta]3] + (4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])*(-32*k1*k3*l1*l2*(-l1^2 + l2^2)*
- Cos[2*\[Theta]3]*Sin[2*\[Theta]1] -
- 16*k1^2*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Sin[4*\[Theta]1] -
- 32*k1*k3*l1*(l1 - l2)*(l1 + l2)*Cos[2*\[Theta]1]*
- Sin[2*\[Theta]3]) -
- 128*(k1 - k2)*(k1 + k2)*l1*(l1 - l2)*
- l2^2*(l1 + l2)*(-1 + l2^2)*Pi*Cos[4*l2*\[Theta]1]*
- Sin[4*\[Theta]3]))/
- (1024*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 +
- l2)*\[Omega]1*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])) + (1/(1024*\[Omega]1))*p*Cos[2*\[CurlyPhi]1]*
- (-(128*l2^2*
- Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*Cos[4*\[Theta]3]*
- Sin[4*l2*\[Theta]1])/(4*Sin[4*l2*Pi] + Sin[8*l2*Pi]) +
- (16*
- Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*
- Cos[2*\[Theta]3]*(-4*l2^2*Sin[2*l2*(Pi - \[Theta]1)] +
- 4*l2^2*Sin[2*l2*(Pi + \[Theta]1)]))/
- (3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi]) + (1/(l1*(-1 + l1^2)*l2))*(-32*l1*
- l2*(-4*(-1 + l1^2)*(4*\[Beta]1 + k1^2*\[Sigma]^2) +
- k1*k2*l1*(-2 + p)*\[Sigma]^2*Cos[2*\[Theta]2])*
- Sin[2*\[Theta]1] -
- 48*k1^2*l1*(-1 + l1^2)*l2*(-2 + p)*\[Sigma]^2*
- Sin[4*\[Theta]1] -
- 32*l2*Cos[
- 2*\[Theta]1]*(16*h1*l1*(-1 + l1^2) -
- k1*k2*l1*(-2 + p)*\[Sigma]^2*Sin[2*\[Theta]2])) +
- (16*(-4*l2^3*
- Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*
- Cos[2*l2*(Pi - \[Theta]1)] -
- 4*l2^3*Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*
- Cos[2*l2*(Pi + \[Theta]1)])*
- Sin[2*\[Theta]3])/(l2*(3*Sin[2*l2*Pi] + Sin[6*l2*Pi])) +
- (128*l2^2*
- Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*Cos[4*l2*\[Theta]1]*
- Sin[4*\[Theta]3])/(4*Sin[4*l2*Pi] + Sin[8*l2*Pi])) +
- ((-2 + p)*p*\[Sigma]^2*
- Cos[4*\[CurlyPhi]1]*(-32*k1*k2*l1^2*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*
- Cos[2*\[Theta]2]*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi])*
- Sin[2*\[Theta]1] -
- 32*k1*k2*l1*l2*(-1 + l2^2)*(-l1^2 + l2^2)*
- Cos[2*\[Theta]1]*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi])*
- Sin[2*\[Theta]2] + l1*(-1 + l1^2)*(l1 - l2)*(l1 + l2)*
- (-48*k1^2*
- l2*(-1 + l2^2)*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi])*
- Sin[4*\[Theta]1] +
- 128*(3*(k1^2 + k2^2) + 8*k3^2)*l2^3*(-1 + l2^2)*Pi*
- Cos[4*\[Theta]3]*Sin[4*l2*\[Theta]1] +
- 32*l2*Cos[2*l2*Pi]*
- Cos[2*\[Theta]3]*(12*k1*k3*l2*
- Cos[2*l2*Pi - 2*\[Theta]1] +
- 4*k1*k3*l2*Cos[6*l2*Pi - 2*\[Theta]1] -
- 12*k1*k3*l2*Cos[2*(l2*Pi + \[Theta]1)] -
- 4*k1*k3*l2*Cos[2*(3*l2*Pi + \[Theta]1)] -
- 12*k1^2*l2^2*Pi*Sin[2*l2*(Pi - \[Theta]1)] -
- 12*k2^2*l2^2*Pi*Sin[2*l2*(Pi - \[Theta]1)] -
- 32*k3^2*l2^2*Pi*Sin[2*l2*(Pi - \[Theta]1)] +
- 12*k1^2*l2^4*Pi*Sin[2*l2*(Pi - \[Theta]1)] +
- 12*k2^2*l2^4*Pi*Sin[2*l2*(Pi - \[Theta]1)] +
- 32*k3^2*l2^4*Pi*Sin[2*l2*(Pi - \[Theta]1)] -
- 4*(3*(k1^2 + k2^2) + 8*k3^2)*l2^2*(-1 + l2^2)*Pi*
- Sin[2*l2*(Pi + \[Theta]1)]) +
- 32*l2*Cos[
- 2*l2*Pi]*(-4*(-3*(k1^2 + k2^2) - 8*k3^2)*
- l2^2*(-1 + l2^2)*Pi*Cos[2*l2*(Pi - \[Theta]1)] +
- 4*(3*(k1^2 + k2^2) + 8*k3^2)*l2^2*(-1 + l2^2)*Pi*
- Cos[2*l2*(Pi + \[Theta]1)] -
- 8*k1*k3*
- Cos[2*\[Theta]1]*(3*Sin[2*l2*Pi] + Sin[6*l2*Pi]))*
- Sin[2*\[Theta]3] -
- 128*(3*(k1^2 + k2^2) + 8*k3^2)*l2^3*(-1 + l2^2)*Pi*
- Cos[4*l2*\[Theta]1]*Sin[4*\[Theta]3])))/
- (4096*l1*(-1 + l1^2)*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*\[Omega]1*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])) +
- Cos[2*\[CurlyPhi]2]*((1/64)*p*
- Pi*(-64*\[Beta]1 +
- 64*\[Beta]2 + (k1 - k2)*(k1 + k2)*(10 +
- 3*p)*\[Sigma]^2)*(-((4*
- l2^2*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3])/
- (\[Omega]1*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi]))) + (12*l2^2*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3]*
- Sin[2*l2*\[Theta]1 -
- 2*\[Theta]3])/(\[Omega]1*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi]))) +
- (p*(128*l1*
- Cos[2*l1*\[Theta]1 -
- 2*\[Theta]2]*(-8*h2*
- l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Cos[2*l1*\[Theta]1] -
- 2*l1*(4*l2^2*(-1 - l1^2 + l2^2)*\[Beta]2 +
- k2^2*(-1 + l2^2)*(-l1^2 + l2^2)*\[Sigma]^2)*
- Sin[2*l1*\[Theta]1]) +
- 3*k2^2*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*(-2 +
- p)*\[Sigma]^2*(-32*l1^2*
- Cos[4*l1*\[Theta]1 - 4*\[Theta]2]*
- Sin[4*l1*\[Theta]1] -
- 32*l1^2*Cos[4*l1*\[Theta]1]*
- Sin[4*l1*\[Theta]1 - 4*\[Theta]2]) -
- 128*l1^2*((4*l2^2*(-1 - l1^2 + l2^2)*\[Beta]2 +
- k2^2*(-1 + l2^2)*(-l1^2 + l2^2)*\[Sigma]^2)*
- Cos[2*l1*\[Theta]1] -
- 4*h2*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Sin[2*l1*\[Theta]1])*
- Sin[2*l1*\[Theta]1 - 2*\[Theta]2] +
- 32*(-4*l1^2*(4*l2^2*(-1 - l1^2 + l2^2)*\[Beta]2 +
- k2^2*(-1 + l2^2)*(-l1^2 + l2^2)*\[Sigma]^2)*
- Cos[2*l1*\[Theta]1] +
- 16*h2*l1^2*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Sin[2*l1*\[Theta]1])*
- Sin[2*l1*\[Theta]1 - 2*\[Theta]2] +
- 4*k1*k3*
- l1*(l2^2*(2 + 2*l2 - p) +
- l1^2*(1 + l2)*(-2 + p))*\[Sigma]^2*(-8*(-1 + l2)*l2*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3]*
- Sin[2*(-1 + l2)*\[Theta]1] -
- 4*(-1 + l2)^2*Cos[2*(-1 + l2)*\[Theta]1]*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3] -
- 4*l2^2*Cos[2*(-1 + l2)*\[Theta]1]*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3])))/(1024*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 + l2)*\[Omega]1) +
- (p*(-512*h1*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Cos[2*\[Theta]1] +
- 512*l1*Sin[
- 2*l1*\[Theta]1]*(-2*l1^3*\[Beta]2*
- Cos[2*l1*\[Theta]1 - 2*\[Theta]2] -
- 2*h2*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Sin[2*l1*\[Theta]1 - 2*\[Theta]2]) +
- 512*l1^2*
- Cos[2*l1*\[Theta]1]*(h2*(l1 - l2)*(l1 + l2)*(-1 +
- l2^2)*Cos[2*l1*\[Theta]1 - 2*\[Theta]2] -
- l1^2*\[Beta]2*Sin[2*l1*\[Theta]1 - 2*\[Theta]2]) -
- 128*Cos[
- 2*l1*\[Theta]1]*(-4*h2*
- l1^2*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Cos[2*l1*\[Theta]1 - 2*\[Theta]2] +
- 4*l1^4*\[Beta]2*Sin[2*l1*\[Theta]1 - 2*\[Theta]2]) +
- (1/2)*(l1 +
- l2)*(-2*(l1 - l2)*(-1 +
- l2^2)*(-4*
- l1^2*(6*k2^2*(-2 + p)*\[Sigma]^2*
- Cos[2*l1*\[Theta]1]*
- Cos[4*l1*\[Theta]1 - 4*\[Theta]2] -
- 32*(4*\[Beta]2 + k2^2*\[Sigma]^2)*
- Cos[2*l1*\[Theta]1 - 2*\[Theta]2])*
- Sin[2*l1*\[Theta]1] +
- Sin[2*l1*\[Theta]1]*(128*
- l1^2*(4*\[Beta]2 + k2^2*\[Sigma]^2)*
- Cos[2*l1*\[Theta]1 - 2*\[Theta]2] +
- 6*k2^2*(-2 +
- p)*(-20*l1^2*\[Sigma]^2*Cos[2*l1*\[Theta]1]*
- Cos[4*l1*\[Theta]1 - 4*\[Theta]2] +
- 16*l1^2*\[Sigma]^2*Sin[2*l1*\[Theta]1]*
- Sin[4*l1*\[Theta]1 - 4*\[Theta]2])) +
- 4*l1*Cos[
- 2*l1*\[Theta]1]*(-12*k2^2*l1*(-2 + p)*\[Sigma]^2*
- Cos[4*l1*\[Theta]1 - 4*\[Theta]2]*
- Sin[2*l1*\[Theta]1] -
- 24*k2^2*l1*(-2 + p)*\[Sigma]^2*
- Cos[2*l1*\[Theta]1]*
- Sin[4*l1*\[Theta]1 - 4*\[Theta]2] +
- 64*l1*(4*\[Beta]2 + k2^2*\[Sigma]^2)*
- Sin[2*l1*\[Theta]1 - 2*\[Theta]2])) +
- 4*k3*l1*(-2 + p)*\[Sigma]^2*Cos[2*\[Theta]3]*
- (2*
- k1*(-l1 +
- l2)*(-16*l2*Cos[4*l2*\[Theta]1]*
- Sin[2*\[Theta]1] -
- 4*Cos[2*\[Theta]1]*Sin[4*l2*\[Theta]1] -
- 16*l2^2*Cos[2*\[Theta]1]*Sin[4*l2*\[Theta]1]) -
- k2*(4*l1 - 4*l2)^2*(-1 + l2^2)*
- Sin[4*l1*\[Theta]1 - 4*l2*\[Theta]1 -
- 2*\[Theta]2]) +
- 4*l1*(l1 -
- l2)*(-4*(-16*(-1 + l2^2)*(4*\[Beta]1 +
- k1^2*\[Sigma]^2) +
- k1*(-2 +
- p)*\[Sigma]^2*(3*k1*(-1 + l2^2)*Cos[2*\[Theta]1] +
- 4*k3*l2*Cos[2*l2*\[Theta]1]*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3]))*
- Sin[2*\[Theta]1] +
- 4*k1*(-2 + p)*\[Sigma]^2*
- Cos[2*\[Theta]1]*(-6*k1*(-1 + l2^2)*
- Sin[2*\[Theta]1] -
- 8*k3*l2^2*Cos[2*l2*\[Theta]1 - 2*\[Theta]3]*
- Sin[2*l2*\[Theta]1] -
- 8*k3*l2^2*Cos[2*l2*\[Theta]1]*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3]) +
- k1*(-2 + p)*\[Sigma]^2*
- Sin[2*\[Theta]1]*(-12*k1*(-1 + l2^2)*
- Cos[2*\[Theta]1] +
- 4*k3*l2*(-8*l2^2*Cos[2*l2*\[Theta]1]*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3] +
- 8*l2^2*Sin[2*l2*\[Theta]1]*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3]))) +
- 4*k3*l1*(-2 + p)*\[Sigma]^2*
- (-2*k2*(-1 + l2^2)*
- Cos[2*\[Theta]2]*(8*(l1 - l2)^2*
- Cos[2*(l1 - l2)*\[Theta]1]^2 -
- 8*(l1 - l2)^2*Sin[2*(l1 - l2)*\[Theta]1]^2) +
- 4*k1*(-l1 + l2)*
- (-16*l2*Cos[2*l2*\[Theta]1]*
- Sin[2*\[Theta]1]*Sin[2*l2*\[Theta]1] -
- 4*Cos[2*\[Theta]1]*Sin[2*l2*\[Theta]1]^2 +
- Cos[2*\[Theta]1]*(8*l2^2*Cos[2*l2*\[Theta]1]^2 -
- 8*l2^2*Sin[2*l2*\[Theta]1]^2)) - 16*k2*(l1 - l2)^2*
- (-1 + l2^2)*
- Sin[4*(l1 - l2)*\[Theta]1]*Sin[2*\[Theta]2])*
- Sin[2*\[Theta]3])))/(1024*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 + l2)*\[Omega]1) +
- (p*(k1*k3*
- l1*(-1 + l2)*(-l1^2 + l2^2)*(-2 +
- p)*\[Sigma]^2*(-8*l2*(1 + l2)*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3]*
- Sin[2*(1 + l2)*\[Theta]1] -
- 4*l2^2*Cos[2*(1 + l2)*\[Theta]1]*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3] -
- 4*(1 + l2)^2*Cos[2*(1 + l2)*\[Theta]1]*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3]) +
- k1*k3*l1*l2^3*
- p*\[Sigma]^2*(8*(-1 + l2)*l2*
- Cos[2*((-l2)*\[Theta]1 + \[Theta]3)]*
- Sin[2*(-1 + l2)*\[Theta]1] -
- 4*(-1 + l2)^2*Cos[2*(-1 + l2)*\[Theta]1]*
- Sin[2*((-l2)*\[Theta]1 + \[Theta]3)] -
- 4*l2^2*Cos[2*(-1 + l2)*\[Theta]1]*
- Sin[2*((-l2)*\[Theta]1 + \[Theta]3)]) -
- k2*k3*l1*(-1 + l2^2)*(-2 + p)*\[Sigma]^2*
- (-8*(l1 - l2)^2*(l1 + l2)*
- Cos[2*(l1*\[Theta]1 -
- l2*\[Theta]1 - \[Theta]2 + \[Theta]3)]*
- Sin[2*(l1 - l2)*\[Theta]1] -
- 8*(l1 - l2)^2*(l1 + l2)*Cos[2*(l1 - l2)*\[Theta]1]*
- Sin[2*(l1*\[Theta]1 -
- l2*\[Theta]1 - \[Theta]2 + \[Theta]3)])))/(256*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 + l2)*\[Omega]1)) +
- (1/(4*l1*(-1 + l1^2)*\[Omega]1))*(l1*
- p*((-(h1 - h2*l1))*Cos[\[Theta]1]*
- Cos[\[Theta]2] - (l1^2*\[Beta]1 + \[Beta]2)*
- Cos[\[Theta]2]*Sin[\[Theta]1]) -
- p*((-(l1^2*\[Beta]1 + \[Beta]2))*Cos[\[Theta]1] -
- l1*(h2 - h1*l1)*Sin[\[Theta]1])*
- Sin[\[Theta]2])*
- Sin[2*\[CurlyPhi]2] + (1/(4*l1*(-1 + l1^2)*\[Omega]1))*
- Cos[2*\[CurlyPhi]1]*(l1*
- p*((-(h1 - h2*l1))*Cos[\[Theta]1]*
- Cos[\[Theta]2] - (l1^2*\[Beta]1 + \[Beta]2)*
- Cos[\[Theta]2]*Sin[\[Theta]1]) -
- p*((-(l1^2*\[Beta]1 + \[Beta]2))*Cos[\[Theta]1] -
- l1*(h2 - h1*l1)*Sin[\[Theta]1])*Sin[\[Theta]2])*
- Sin[2*\[CurlyPhi]2]) + (1/8)*\[Sigma]^2*Cos[\[CurlyPhi]1]^2*
- Sin[\[CurlyPhi]1]^2*
- (k1*Cos[\[CurlyPhi]2]^2*Sin[2*\[Theta]1] -
- k3*Sin[2*\[Theta]3] +
- k2*Sin[2*\[Theta]2]*
- Sin[\[CurlyPhi]2]^2)^2*((-(1/(256*\[Omega]1)))*(-2 + p)*
- p*\[Sigma]^2*Cos[2*\[CurlyPhi]1]*Cos[4*\[CurlyPhi]2]*
- (-((8*k1*k2*l1*Cos[2*\[Theta]2]*Sin[2*\[Theta]1])/(-1 +
- l1^2)) +
- k1^2*Sin[
- 4*\[Theta]1] + (8*k1*k2*Cos[2*\[Theta]1]*
- Sin[2*\[Theta]2])/(-1 + l1^2) + (k2^2*Sin[4*\[Theta]2])/
- l1 +
- (2*(k1^2 + k2^2)*
- Sec[2*l2*
- Pi]*((-\[Theta]1)*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi]) +
- 4*Pi*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3]))/
- (3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])) - (1/(256*\[Omega]1))*(-2 + p)*
- p*\[Sigma]^2*Cos[4*\[CurlyPhi]1]*
- Cos[4*\[CurlyPhi]2]*(-((8*k1*k2*l1*Cos[2*\[Theta]2]*
- Sin[2*\[Theta]1])/(-1 + l1^2)) + k1^2*Sin[4*\[Theta]1] +
- (8*k1*k2*Cos[2*\[Theta]1]*Sin[2*\[Theta]2])/(-1 +
- l1^2) + (k2^2*Sin[4*\[Theta]2])/
- l1 + (2*(k1^2 + k2^2)*
- Sec[2*l2*
- Pi]*((-\[Theta]1)*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi]) +
- 4*Pi*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3]))/(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])) -
- (1/(64*\[Omega]1))*p*Cos[2*\[CurlyPhi]1]*
- Cos[2*\[CurlyPhi]2]*((32*h2 -
- 32*l1*(h1 + 2*(-\[Beta]1 + \[Beta]2)*\[Theta]1) -
- 4*(k1 - k2)*(k1 + k2)*l1*(2 + p)*\[Theta]1*\[Sigma]^2)/
- l1 + 32*h1*Cos[2*\[Theta]1] -
- (32*h2*Cos[2*\[Theta]2])/l1 -
- 8*(4*\[Beta]1 + k1^2*\[Sigma]^2)*
- Sin[2*\[Theta]1] + (512*Pi*(-\[Beta]1 + \[Beta]2)*
- Cos[2*l2*Pi]*Cos[2*\[Theta]3]*
- Sin[2*l2*\[Theta]1])/(3*Sin[2*l2*Pi] + Sin[6*l2*Pi]) +
- (Sec[
- 2*l2*Pi]*(Cos[
- 2*l2*Pi]*(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])*(32*\[Beta]2*
- Sin[2*\[Theta]2] + \[Sigma]^2*(k1^2*l1*(-2 + p)*
- Sin[4*\[Theta]1] +
- k2^2*(8*Sin[2*\[Theta]2] - (-2 + p)*
- Sin[4*\[Theta]2]))) +
- 4*l1*Pi*(16*\[Beta]1 -
- 16*\[Beta]2 - (k1 - k2)*(k1 + k2)*(2 +
- p)*\[Sigma]^2)*
- Sin[4*l2*\[Theta]1 - 4*\[Theta]3] +
- 32*l1*Pi*
- Cos[2*l2*Pi]^2*((k1 - k2)*(k1 + k2)*(2 + p)*\[Sigma]^2*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3] +
- 16*(\[Beta]1 - \[Beta]2)*Cos[2*l2*\[Theta]1]*
- Sin[2*\[Theta]3])))/(l1*(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi]))) -
- ((-2 + p)*p*\[Sigma]^2*Cos[4*\[CurlyPhi]1]*
- Cos[2*\[CurlyPhi]2]*(64*(k1 - k2)*(k1 + k2)*
- l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*Pi*Cos[2*l2*Pi]^2*
- Cos[2*\[Theta]3]*Sin[2*l2*\[Theta]1] +
- 8*(-k1^2 + k2^2)*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*Pi*
- Cos[4*\[Theta]3]*Sin[4*l2*\[Theta]1] +
- 64*(-k1^2 + k2^2)*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*Pi*
- Cos[2*l2*Pi]^2*Cos[2*l2*\[Theta]1]*
- Sin[2*\[Theta]3] + (4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])*(8*k3*l1*l2*
- Cos[2*\[Theta]3]*(k1*(-l1^2 + l2^2)*Sin[2*\[Theta]1] -
- k2*(-1 + l2^2)*Sin[2*\[Theta]2]) +
- (l1 - l2)*(l1 + l2)*(-1 +
- l2^2)*(4*(-k1^2 + k2^2)*l1*\[Theta]1 +
- k1^2*l1*Sin[4*\[Theta]1] - k2^2*Sin[4*\[Theta]2]) +
- 8*k3*l1*(k1*(l1 - l2)*(l1 + l2)*Cos[2*\[Theta]1] +
- k2*l1*(-1 + l2^2)*Cos[2*\[Theta]2])*
- Sin[2*\[Theta]3]) +
- 8*(k1 - k2)*(k1 + k2)*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Pi*Cos[4*l2*\[Theta]1]*Sin[4*\[Theta]3]))/
- (64*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 +
- l2)*\[Omega]1*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])) - (1/(256*\[Omega]1))*p*Cos[2*\[CurlyPhi]1]*
- ((8*
- Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*Cos[4*\[Theta]3]*
- Sin[4*l2*\[Theta]1])/(4*Sin[4*l2*Pi] + Sin[8*l2*Pi]) +
- (16*
- Cos[2*\[Theta]3]*(-8*h3*(3*Sin[2*l2*Pi] + Sin[6*l2*Pi]) +
- l2*Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*
- (Sin[2*l2*(Pi - \[Theta]1)] -
- Sin[2*l2*(Pi + \[Theta]1)])))/(l2*(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])) + (1/(l1*(-1 + l1^2)*l2))*
- (8*l1*
- l2*(-4*(-1 + l1^2)*(4*\[Beta]1 + k1^2*\[Sigma]^2) +
- k1*k2*l1*(-2 + p)*\[Sigma]^2*Cos[2*\[Theta]2])*
- Sin[2*\[Theta]1] +
- 3*k1^2*l1*(-1 + l1^2)*l2*(-2 + p)*\[Sigma]^2*
- Sin[4*\[Theta]1] +
- 8*l2*Cos[
- 2*\[Theta]1]*(16*h1*l1*(-1 + l1^2) -
- k1*k2*l1*(-2 + p)*\[Sigma]^2*Sin[2*\[Theta]2]) + (-1 +
- l1^2)*(128*(h3*l1 - (h2 + h1*l1)*l2 +
- 2*l1*l2*(\[Beta]1 + \[Beta]2 - \[Beta]3)*\[Theta]1) \
- -
- 4*l1*l2*(-8*k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Theta]1*\[Sigma]^2 +
- 128*h2*l2*Cos[2*\[Theta]2] -
- 32*l2*(4*\[Beta]2 + k2^2*\[Sigma]^2)*Sin[2*\[Theta]2] +
- 3*k2^2*l2*(-2 + p)*\[Sigma]^2*
- Sin[4*\[Theta]2])) + (16*(l2*
- Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*
- Cos[2*l2*(Pi - \[Theta]1)] +
- l2*Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*
- Cos[2*l2*(Pi + \[Theta]1)] +
- 4*(2*\[Beta]3 + k3^2*\[Sigma]^2)*(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi]))*
- Sin[2*\[Theta]3])/(l2*(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])) - (8*(l2*
- Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*Cos[4*l2*\[Theta]1] +
- k3^2*(-2 + p)*\[Sigma]^2*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi]))*
- Sin[4*\[Theta]3])/(l2*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi]))) -
- ((-2 + p)*p*\[Sigma]^2*
- Cos[4*\[CurlyPhi]1]*(8*k2*l1*
- l2*(-1 + l2^2)*(k1*(-l1^2 + l2^2)*Cos[2*\[Theta]1] +
- 4*k3*(-1 + l1^2)*l2*Cos[2*\[Theta]3])*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])*Sin[2*\[Theta]2] +
- 3*k2^2*(-1 + l1^2)*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi])*
- Sin[4*\[Theta]2] +
- 8*k2*l1^2*l2*(-1 + l2^2)*
- Cos[2*\[Theta]2]*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi])*
- (k1*(l1 - l2)*(l1 + l2)*Sin[2*\[Theta]1] -
- 4*k3*(-1 + l1^2)*Sin[2*\[Theta]3]) +
- l1*(-1 + l1^2)*(l1 - l2)*(l1 + l2)*
- (l2*(-1 + l2^2)*(4*Sin[4*l2*Pi] +
- Sin[8*l2*
- Pi])*(-4*(3*(k1^2 + k2^2) + 8*k3^2)*\[Theta]1 +
- 3*k1^2*Sin[4*\[Theta]1]) -
- 8*(3*(k1^2 + k2^2) + 8*k3^2)*l2*(-1 + l2^2)*Pi*
- Cos[4*\[Theta]3]*
- Sin[4*l2*\[Theta]1] +
- 32*l2*Cos[2*l2*Pi]*
- Cos[2*\[Theta]3]*(-3*k1*k3*l2*
- Cos[2*l2*Pi - 2*\[Theta]1] -
- k1*k3*l2*Cos[6*l2*Pi - 2*\[Theta]1] +
- 3*k1*k3*l2*Cos[2*(l2*Pi + \[Theta]1)] +
- k1*k3*l2*Cos[2*(3*l2*Pi + \[Theta]1)] +
- 3*k1^2*Pi*Sin[2*l2*(Pi - \[Theta]1)] +
- 3*k2^2*Pi*Sin[2*l2*(Pi - \[Theta]1)] +
- 8*k3^2*Pi*Sin[2*l2*(Pi - \[Theta]1)] -
- 3*k1^2*l2^2*Pi*Sin[2*l2*(Pi - \[Theta]1)] -
- 3*k2^2*l2^2*Pi*Sin[2*l2*(Pi - \[Theta]1)] -
- 8*k3^2*l2^2*Pi*
- Sin[2*l2*(Pi - \[Theta]1)] + (3*(k1^2 + k2^2) +
- 8*k3^2)*(-1 + l2^2)*Pi*
- Sin[2*l2*(Pi + \[Theta]1)]) +
- 32*l2*Cos[
- 2*l2*Pi]*((-3*(k1^2 + k2^2) - 8*k3^2)*(-1 + l2^2)*Pi*
- Cos[2*l2*(Pi - \[Theta]1)] - (3*(k1^2 + k2^2) +
- 8*k3^2)*(-1 + l2^2)*Pi*
- Cos[2*l2*(Pi + \[Theta]1)] +
- 2*k1*k3*
- Cos[2*\[Theta]1]*(3*Sin[2*l2*Pi] + Sin[6*l2*Pi]))*
- Sin[2*\[Theta]3] +
- 8*(-1 +
- l2^2)*((3*(k1^2 + k2^2) + 8*k3^2)*l2*Pi*
- Cos[4*l2*\[Theta]1] +
- k3^2*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi]))*
- Sin[4*\[Theta]3])))/(256*l1*(-1 + l1^2)*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*\[Omega]1*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])) -
- (2*(l2*
- p*(l1*((-h2)*l1 + h3*l2)*(-1 +
- Cos[\[Theta]2]*Cos[\[Theta]3]) - (l2^2*\[Beta]2 +
- l1^2*\[Beta]3)*Cos[\[Theta]3]*Sin[\[Theta]2]) +
- l1*p*((l2^2*\[Beta]2 + l1^2*\[Beta]3)*Cos[\[Theta]2] +
- l2*(h3*l1 - h2*l2)*Sin[\[Theta]2])*
- Sin[\[Theta]3])*Sin[2*\[CurlyPhi]1]*
- Sin[\[CurlyPhi]2])/(l1*(l1 - l2)*
- l2*(l1 + l2)*\[Omega]1) - (1/(l1*(-1 + l1^2)*\[Omega]1))*
- Cos[2*\[CurlyPhi]1]*
- (l1*
- p*((h1 - h2*l1)*(-1 +
- Cos[\[Theta]1]*
- Cos[\[Theta]2]) + (l1^2*\[Beta]1 + \[Beta]2)*
- Cos[\[Theta]2]*Sin[\[Theta]1]) -
- p*((l1^2*\[Beta]1 + \[Beta]2)*Cos[\[Theta]1] +
- l1*(h2 - h1*l1)*Sin[\[Theta]1])*Sin[\[Theta]2])*
- Sin[2*\[CurlyPhi]2]) +
- (1/
- 32)*\[Sigma]^2*(k1*Sin[2*\[Theta]1] - k2*Sin[2*\[Theta]2])^2*
- Sin[2*\[CurlyPhi]2]^2*((-(1/(256*\[Omega]1)))*3*(-2 + p)*
- p*\[Sigma]^2*
- Cos[4*\[CurlyPhi]2]*(-((8*k1*k2*l1*Cos[2*\[Theta]2]*
- Sin[2*\[Theta]1])/(-1 + l1^2)) +
- k1^2*Sin[
- 4*\[Theta]1] + (8*k1*k2*Cos[2*\[Theta]1]*
- Sin[2*\[Theta]2])/(-1 + l1^2) + (k2^2*Sin[4*\[Theta]2])/
- l1 +
- (2*(k1^2 + k2^2)*
- Sec[2*l2*
- Pi]*((-\[Theta]1)*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi]) +
- 4*Pi*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3]))/
- (3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])) - (1/(64*\[Omega]1))*(-2 + p)*p*\[Sigma]^2*
- Cos[2*\[CurlyPhi]1]*
- Cos[4*\[CurlyPhi]2]*(-((8*k1*k2*l1*Cos[2*\[Theta]2]*
- Sin[2*\[Theta]1])/(-1 + l1^2)) + k1^2*Sin[4*\[Theta]1] +
- (8*k1*k2*Cos[2*\[Theta]1]*Sin[2*\[Theta]2])/(-1 +
- l1^2) + (k2^2*Sin[4*\[Theta]2])/
- l1 + (2*(k1^2 + k2^2)*
- Sec[2*l2*
- Pi]*((-\[Theta]1)*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi]) +
- 4*Pi*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3]))/(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])) - (1/(256*\[Omega]1))*(-2 + p)*
- p*\[Sigma]^2*Cos[4*\[CurlyPhi]1]*Cos[4*\[CurlyPhi]2]*
- (-((8*k1*k2*l1*Cos[2*\[Theta]2]*Sin[2*\[Theta]1])/(-1 +
- l1^2)) +
- k1^2*Sin[
- 4*\[Theta]1] + (8*k1*k2*Cos[2*\[Theta]1]*
- Sin[2*\[Theta]2])/(-1 + l1^2) + (k2^2*Sin[4*\[Theta]2])/
- l1 +
- (2*(k1^2 + k2^2)*
- Sec[2*l2*
- Pi]*((-\[Theta]1)*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi]) +
- 4*Pi*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3]))/
- (3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])) - (1/(64*\[Omega]1))*p*Cos[2*\[CurlyPhi]1]*
- Cos[2*\[CurlyPhi]2]*((32*h2 -
- 32*l1*(h1 + 2*(-\[Beta]1 + \[Beta]2)*\[Theta]1) -
- 4*(k1 - k2)*(k1 + k2)*l1*(2 + p)*\[Theta]1*\[Sigma]^2)/
- l1 +
- 32*h1*Cos[2*\[Theta]1] - (32*h2*Cos[2*\[Theta]2])/l1 -
- 8*(4*\[Beta]1 + k1^2*\[Sigma]^2)*
- Sin[2*\[Theta]1] + (512*Pi*(-\[Beta]1 + \[Beta]2)*
- Cos[2*l2*Pi]*Cos[2*\[Theta]3]*Sin[2*l2*\[Theta]1])/
- (3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi]) + (Sec[
- 2*l2*Pi]*(Cos[
- 2*l2*Pi]*(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])*(32*\[Beta]2*
- Sin[2*\[Theta]2] + \[Sigma]^2*(k1^2*l1*(-2 + p)*
- Sin[4*\[Theta]1] + k2^2*
- (8*Sin[2*\[Theta]2] - (-2 + p)*
- Sin[4*\[Theta]2]))) +
- 4*l1*Pi*(16*\[Beta]1 -
- 16*\[Beta]2 - (k1 - k2)*(k1 + k2)*(2 +
- p)*\[Sigma]^2)*Sin[4*l2*\[Theta]1 - 4*\[Theta]3] +
- 32*l1*Pi*
- Cos[2*l2*Pi]^2*((k1 - k2)*(k1 + k2)*(2 + p)*\[Sigma]^2*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3] +
- 16*(\[Beta]1 - \[Beta]2)*Cos[2*l2*\[Theta]1]*
- Sin[2*\[Theta]3])))/(l1*(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi]))) -
- ((-2 + p)*p*\[Sigma]^2*Cos[4*\[CurlyPhi]1]*
- Cos[2*\[CurlyPhi]2]*(64*(k1 - k2)*(k1 + k2)*
- l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*Pi*Cos[2*l2*Pi]^2*
- Cos[2*\[Theta]3]*Sin[2*l2*\[Theta]1] +
- 8*(-k1^2 + k2^2)*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*Pi*
- Cos[4*\[Theta]3]*Sin[4*l2*\[Theta]1] +
- 64*(-k1^2 + k2^2)*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*Pi*
- Cos[2*l2*Pi]^2*Cos[2*l2*\[Theta]1]*
- Sin[2*\[Theta]3] + (4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])*(8*k3*l1*l2*
- Cos[2*\[Theta]3]*(k1*(-l1^2 + l2^2)*Sin[2*\[Theta]1] -
- k2*(-1 + l2^2)*Sin[2*\[Theta]2]) +
- (l1 - l2)*(l1 + l2)*(-1 +
- l2^2)*(4*(-k1^2 + k2^2)*l1*\[Theta]1 +
- k1^2*l1*Sin[4*\[Theta]1] - k2^2*Sin[4*\[Theta]2]) +
- 8*k3*l1*(k1*(l1 - l2)*(l1 + l2)*Cos[2*\[Theta]1] +
- k2*l1*(-1 + l2^2)*Cos[2*\[Theta]2])*
- Sin[2*\[Theta]3]) +
- 8*(k1 - k2)*(k1 + k2)*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Pi*Cos[4*l2*\[Theta]1]*Sin[4*\[Theta]3]))/
- (256*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 +
- l2)*\[Omega]1*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi])) -
- 4*Cos[2*\[CurlyPhi]2]*((p*
- Pi*(-64*\[Beta]1 +
- 64*\[Beta]2 + (k1 - k2)*(k1 + k2)*(10 +
- 3*p)*\[Sigma]^2)*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3])/
- (64*\[Omega]1*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])) + (p*(3*
- k2^2*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*(-2 +
- p)*\[Sigma]^2*Cos[4*l1*\[Theta]1]*
- Sin[4*l1*\[Theta]1 - 4*\[Theta]2] +
- 32*((4*l2^2*(-1 - l1^2 + l2^2)*\[Beta]2 +
- k2^2*(-1 + l2^2)*(-l1^2 + l2^2)*\[Sigma]^2)*
- Cos[2*l1*\[Theta]1] -
- 4*h2*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Sin[2*l1*\[Theta]1])*
- Sin[2*l1*\[Theta]1 - 2*\[Theta]2] +
- 4*k1*k3*
- l1*(l2^2*(2 + 2*l2 - p) +
- l1^2*(1 + l2)*(-2 + p))*\[Sigma]^2*
- Cos[2*(-1 + l2)*\[Theta]1]*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3]))/(1024*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 + l2)*\[Omega]1) +
- (p*(128*h1*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Cos[2*\[Theta]1] -
- 128*Cos[
- 2*l1*\[Theta]1]*(h2*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Cos[2*l1*\[Theta]1 - 2*\[Theta]2] -
- l1^2*\[Beta]2*Sin[2*l1*\[Theta]1 - 2*\[Theta]2]) +
- (1/2)*(l1 +
- l2)*(8*l1*(l1 - l2)*(-1 + l2)*(1 +
- l2)*\[Theta]1*(64*\[Beta]1 -
- 64*\[Beta]2 - (k1 - k2)*(k1 + k2)*(10 +
- 3*p)*\[Sigma]^2) +
- 4*l1*(l1 -
- l2)*(-16*(-1 + l2^2)*(4*\[Beta]1 +
- k1^2*\[Sigma]^2) + k1*
- (-2 +
- p)*\[Sigma]^2*(3*k1*(-1 + l2^2)*
- Cos[2*\[Theta]1] +
- 4*k3*l2*Cos[2*l2*\[Theta]1]*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3]))*
- Sin[2*\[Theta]1] - 2*(l1 - l2)*(-1 + l2^2)*
- (6*k2^2*(-2 + p)*\[Sigma]^2*
- Cos[2*l1*\[Theta]1]*
- Cos[4*l1*\[Theta]1 - 4*\[Theta]2] -
- 32*(4*\[Beta]2 + k2^2*\[Sigma]^2)*
- Cos[2*l1*\[Theta]1 - 2*\[Theta]2])*
- Sin[2*l1*\[Theta]1] +
- 4*k3*l1*(-2 + p)*\[Sigma]^2*
- Cos[2*\[Theta]3]*(2*k1*(-l1 + l2)*Cos[2*\[Theta]1]*
- Sin[4*l2*\[Theta]1] +
- k2*(-1 +
- l2^2)*(Sin[
- 4*l1*\[Theta]1 - 4*l2*\[Theta]1 - 2*\[Theta]2] +
- Sin[2*\[Theta]2])) +
- 4*k3*l1*(-2 +
- p)*\[Sigma]^2*(-2*k2*(-1 + l2^2)*Cos[2*\[Theta]2]*
- Sin[2*(l1 - l2)*\[Theta]1]^2 +
- 4*k1*(-l1 + l2)*Cos[2*\[Theta]1]*
- Sin[2*l2*\[Theta]1]^2 +
- k2*(-1 + l2^2)*Sin[4*(l1 - l2)*\[Theta]1]*
- Sin[2*\[Theta]2])*
- Sin[2*\[Theta]3])))/(1024*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 + l2)*\[Omega]1) +
- (p*(k1*k3*
- l1*(-1 + l2)*(-l1^2 + l2^2)*(-2 + p)*\[Sigma]^2*
- Cos[2*(1 + l2)*\[Theta]1]*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3] +
- k1*k3*l1*l2^3*p*\[Sigma]^2*Cos[2*(-1 + l2)*\[Theta]1]*
- Sin[2*((-l2)*\[Theta]1 + \[Theta]3)] -
- (-1 +
- l2^2)*(-32*(h2 - h1*l1)*(l1 - l2)*(l1 + l2) +
- k2*k3*l1*(-2 +
- p)*\[Sigma]^2*((l1 + l2)*
- Cos[2*(l1 - l2)*\[Theta]1]*
- Sin[2*(l1*\[Theta]1 -
- l2*\[Theta]1 - \[Theta]2 + \[Theta]3)] + (l1 - l2)*
- Sin[2*(\[Theta]2 + \[Theta]3)]))))/(256*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 + l2)*\[Omega]1)) -
- ((l2*
- p*(l1*((-h2)*l1 + h3*l2)*(-1 +
- Cos[\[Theta]2]*Cos[\[Theta]3]) - (l2^2*\[Beta]2 +
- l1^2*\[Beta]3)*Cos[\[Theta]3]*Sin[\[Theta]2]) +
- l1*p*((l2^2*\[Beta]2 + l1^2*\[Beta]3)*Cos[\[Theta]2] +
- l2*(h3*l1 - h2*l2)*Sin[\[Theta]2])*
- Sin[\[Theta]3])*Sin[2*\[CurlyPhi]1]*
- Sin[\[CurlyPhi]2])/(2*l1*(l1 - l2)*
- l2*(l1 + l2)*\[Omega]1) - (1/(l1*(-1 + l1^2)*\[Omega]1))*
- (l1*
- p*((h1 - h2*l1)*(-1 +
- Cos[\[Theta]1]*
- Cos[\[Theta]2]) + (l1^2*\[Beta]1 + \[Beta]2)*
- Cos[\[Theta]2]*Sin[\[Theta]1]) -
- p*((l1^2*\[Beta]1 + \[Beta]2)*Cos[\[Theta]1] +
- l1*(h2 - h1*l1)*Sin[\[Theta]1])*Sin[\[Theta]2])*
- Sin[2*\[CurlyPhi]2] -
- (1/(l1*(-1 + l1^2)*\[Omega]1))*
- Cos[2*\[CurlyPhi]1]*(l1*
- p*((h1 - h2*l1)*(-1 +
- Cos[\[Theta]1]*
- Cos[\[Theta]2]) + (l1^2*\[Beta]1 + \[Beta]2)*
- Cos[\[Theta]2]*Sin[\[Theta]1]) -
- p*((l1^2*\[Beta]1 + \[Beta]2)*Cos[\[Theta]1] +
- l1*(h2 - h1*l1)*Sin[\[Theta]1])*Sin[\[Theta]2])*
- Sin[2*\[CurlyPhi]2]) + (1/2)*k2^2*\[Sigma]^2*Cos[\[Theta]2]^4*
- ((3*(-2 + p)*p*\[Sigma]^2*
- Cos[4*\[CurlyPhi]2]*((32*k1*k2*l1*Cos[2*\[Theta]2]*
- Sin[2*\[Theta]1])/(-1 + l1^2) - (32*k1*k2*
- Cos[2*\[Theta]1]*Sin[2*\[Theta]2])/(-1 + l1^2) - (16*
- k2^2*Sin[4*\[Theta]2])/l1))/(4096*\[Omega]1) +
- (1/(1024*\[Omega]1))*(-2 + p)*p*\[Sigma]^2*
- Cos[2*\[CurlyPhi]1]*
- Cos[4*\[CurlyPhi]2]*((32*k1*k2*l1*Cos[2*\[Theta]2]*
- Sin[2*\[Theta]1])/(-1 + l1^2) - (32*k1*k2*
- Cos[2*\[Theta]1]*Sin[2*\[Theta]2])/(-1 + l1^2) -
- (16*k2^2*Sin[4*\[Theta]2])/
- l1) + (1/(4096*\[Omega]1))*(-2 + p)*p*\[Sigma]^2*
- Cos[4*\[CurlyPhi]1]*
- Cos[4*\[CurlyPhi]2]*((32*k1*k2*l1*Cos[2*\[Theta]2]*
- Sin[2*\[Theta]1])/(-1 + l1^2) -
- (32*k1*k2*Cos[2*\[Theta]1]*Sin[2*\[Theta]2])/(-1 +
- l1^2) - (16*k2^2*Sin[4*\[Theta]2])/l1) +
- (p*
- Cos[2*\[CurlyPhi]1]*(-32*k1*k2*l1^2*l2*(-2 + p)*\[Sigma]^2*
- Cos[2*\[Theta]2]*Sin[2*\[Theta]1] +
- 32*k1*k2*l1*l2*(-2 + p)*\[Sigma]^2*Cos[2*\[Theta]1]*
- Sin[2*\[Theta]2] +
- (-1 + l1^2)*(-512*h2*l2*Cos[2*\[Theta]2] +
- 128*l2*(4*\[Beta]2 + k2^2*\[Sigma]^2)*
- Sin[2*\[Theta]2] -
- 48*k2^2*l2*(-2 + p)*\[Sigma]^2*
- Sin[4*\[Theta]2])))/(1024*l1*(-1 + l1^2)*
- l2*\[Omega]1) +
- (p*Cos[2*\[CurlyPhi]1]*
- Cos[2*\[CurlyPhi]2]*((128*h2*Cos[2*\[Theta]2])/
- l1 + (-128*\[Beta]2*Sin[2*\[Theta]2] +
- k2^2*\[Sigma]^2*(-32*Sin[2*\[Theta]2] +
- 16*(-2 + p)*Sin[4*\[Theta]2]))/l1))/(256*\[Omega]1) +
- ((-2 + p)*p*\[Sigma]^2*Cos[4*\[CurlyPhi]1]*
- Cos[2*\[CurlyPhi]2]*(32*k2*k3*l1*l2*(-1 + l2^2)*
- Cos[2*\[Theta]3]*Sin[2*\[Theta]2] +
- 16*k2^2*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*Sin[4*\[Theta]2] -
- 32*k2*k3*l1^2*(-1 + l2^2)*Cos[2*\[Theta]2]*
- Sin[2*\[Theta]3]))/(1024*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 + l2)*\[Omega]1) +
- ((-2 + p)*p*\[Sigma]^2*
- Cos[4*\[CurlyPhi]1]*(-32*k2*l1*
- l2*(-1 + l2^2)*(k1*(-l1^2 + l2^2)*Cos[2*\[Theta]1] +
- 4*k3*(-1 + l1^2)*l2*Cos[2*\[Theta]3])*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])*Sin[2*\[Theta]2] -
- 48*k2^2*(-1 + l1^2)*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi])*
- Sin[4*\[Theta]2] -
- 32*k2*l1^2*l2*(-1 + l2^2)*
- Cos[2*\[Theta]2]*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi])*
- (k1*(l1 - l2)*(l1 + l2)*Sin[2*\[Theta]1] -
- 4*k3*(-1 + l1^2)*Sin[2*\[Theta]3])))/(4096*
- l1*(-1 + l1^2)*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*\[Omega]1*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])) +
- (p*(96*k1*k2*l1*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*(-2 + p)*\[Sigma]^2*
- Cos[2*\[Theta]1]*
- Sin[2*\[Theta]2] + (-1 +
- l1^2)*(128*k2*k3*l1*
- l2^2*(-1 + l2^2)*(-2 + p)*\[Sigma]^2*Cos[2*\[Theta]3]*
- Sin[2*\[Theta]2] -
- (l1 - l2)*
- l2*(l1 + l2)*(-1 +
- l2^2)*(-2048*\[Beta]2*Sin[2*\[Theta]2] +
- k2^2*\[Sigma]^2*(-512*Sin[2*\[Theta]2] +
- 144*(-2 + p)*Sin[4*\[Theta]2]))) -
- 32*l2*(-1 + l2^2)*
- Cos[2*\[Theta]2]*(64*h2*(-1 + l1^2)*(l1 - l2)*(l1 + l2) +
- k2*l1^2*(-2 +
- p)*\[Sigma]^2*(3*k1*(l1 - l2)*(l1 + l2)*
- Sin[2*\[Theta]1] +
- 4*k3*(-1 + l1^2)*Sin[2*\[Theta]3]))))/
- (4096*l1*(-1 + l1^2)*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*\[Omega]1) +
- Cos[2*\[CurlyPhi]2]*((p*(-48*
- k2^2*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*(-2 +
- p)*\[Sigma]^2*Cos[4*l1*\[Theta]1]*
- Sin[4*l1*\[Theta]1 - 4*\[Theta]2] -
- 128*((4*l2^2*(-1 - l1^2 + l2^2)*\[Beta]2 +
- k2^2*(-1 + l2^2)*(-l1^2 + l2^2)*\[Sigma]^2)*
- Cos[2*l1*\[Theta]1] -
- 4*h2*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Sin[2*l1*\[Theta]1])*
- Sin[2*l1*\[Theta]1 - 2*\[Theta]2]))/
- (1024*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 +
- l2)*\[Omega]1) + (p*(-128*
- Cos[2*l1*\[Theta]1]*(-4*
- h2*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Cos[2*l1*\[Theta]1 - 2*\[Theta]2] +
- 4*l1^2*\[Beta]2*
- Sin[2*l1*\[Theta]1 - 2*\[Theta]2]) + (1/2)*(l1 +
- l2)*(-2*(l1 - l2)*(-1 +
- l2^2)*(-96*k2^2*(-2 + p)*\[Sigma]^2*
- Cos[2*l1*\[Theta]1]*
- Cos[4*l1*\[Theta]1 - 4*\[Theta]2] +
- 128*(4*\[Beta]2 + k2^2*\[Sigma]^2)*
- Cos[2*l1*\[Theta]1 - 2*\[Theta]2])*
- Sin[2*l1*\[Theta]1] +
- 4*k2*k3*l1*(-1 + l2^2)*(-2 + p)*\[Sigma]^2*
- Cos[2*\[Theta]3]*(-4*
- Sin[4*l1*\[Theta]1 - 4*l2*\[Theta]1 -
- 2*\[Theta]2] - 4*Sin[2*\[Theta]2]) +
- 4*k3*l1*(-2 +
- p)*\[Sigma]^2*(8*k2*(-1 + l2^2)*Cos[2*\[Theta]2]*
- Sin[2*(l1 - l2)*\[Theta]1]^2 -
- 4*k2*(-1 + l2^2)*Sin[4*(l1 - l2)*\[Theta]1]*
- Sin[2*\[Theta]2])*Sin[2*\[Theta]3])))/
- (1024*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 +
- l2)*\[Omega]1) - (k2*k3*(-1 + l2^2)*(-2 + p)*
- p*\[Sigma]^2*(-4*(l1 + l2)*Cos[2*(l1 - l2)*\[Theta]1]*
- Sin[2*(l1*\[Theta]1 -
- l2*\[Theta]1 - \[Theta]2 + \[Theta]3)] -
- 4*(l1 - l2)*Sin[2*(\[Theta]2 + \[Theta]3)]))/(256*(l1 -
- l2)*(-1 + l2)*(1 + l2)*(l1 + l2)*\[Omega]1)) +
- ((l2*
- p*((-l1)*((-h2)*l1 + h3*l2)*Cos[\[Theta]2]*
- Cos[\[Theta]3] + (l2^2*\[Beta]2 + l1^2*\[Beta]3)*
- Cos[\[Theta]3]*Sin[\[Theta]2]) +
- l1*p*((-(l2^2*\[Beta]2 + l1^2*\[Beta]3))*Cos[\[Theta]2] -
- l2*(h3*l1 - h2*l2)*Sin[\[Theta]2])*
- Sin[\[Theta]3])*Sin[2*\[CurlyPhi]1]*
- Sin[\[CurlyPhi]2])/(2*l1*(l1 - l2)*
- l2*(l1 + l2)*\[Omega]1) + (1/(4*l1*(-1 + l1^2)*\[Omega]1))*
- (l1*
- p*((-(h1 - h2*l1))*Cos[\[Theta]1]*
- Cos[\[Theta]2] - (l1^2*\[Beta]1 + \[Beta]2)*
- Cos[\[Theta]2]*Sin[\[Theta]1]) +
- p*((l1^2*\[Beta]1 + \[Beta]2)*Cos[\[Theta]1] +
- l1*(h2 - h1*l1)*Sin[\[Theta]1])*Sin[\[Theta]2])*
- Sin[2*\[CurlyPhi]2] +
- (1/(4*l1*(-1 + l1^2)*\[Omega]1))*
- Cos[2*\[CurlyPhi]1]*(l1*
- p*((-(h1 - h2*l1))*Cos[\[Theta]1]*
- Cos[\[Theta]2] - (l1^2*\[Beta]1 + \[Beta]2)*
- Cos[\[Theta]2]*Sin[\[Theta]1]) +
- p*((l1^2*\[Beta]1 + \[Beta]2)*Cos[\[Theta]1] +
- l1*(h2 - h1*l1)*Sin[\[Theta]1])*Sin[\[Theta]2])*
- Sin[2*\[CurlyPhi]2]) +
- k1*k2*\[Sigma]^2*Cos[\[Theta]1]^2*Cos[\[Theta]2]^2*
- ((3*(-2 + p)*p*\[Sigma]^2*
- Cos[4*\[CurlyPhi]2]*(-((32*k1*k2*Cos[2*\[Theta]2]*
- Sin[2*\[Theta]1])/(-1 + l1^2)) + (32*k1*k2*l1*
- Cos[2*\[Theta]1]*Sin[2*\[Theta]2])/(-1 +
- l1^2)))/(4096*\[Omega]1) +
- ((-2 + p)*p*\[Sigma]^2*Cos[2*\[CurlyPhi]1]*
- Cos[4*\[CurlyPhi]2]*(-((32*k1*k2*Cos[2*\[Theta]2]*
- Sin[2*\[Theta]1])/(-1 + l1^2)) + (32*k1*k2*l1*
- Cos[2*\[Theta]1]*Sin[2*\[Theta]2])/(-1 +
- l1^2)))/(1024*\[Omega]1) +
- ((-2 + p)*p*\[Sigma]^2*Cos[4*\[CurlyPhi]1]*
- Cos[4*\[CurlyPhi]2]*(-((32*k1*k2*Cos[2*\[Theta]2]*
- Sin[2*\[Theta]1])/(-1 + l1^2)) + (32*k1*k2*l1*
- Cos[2*\[Theta]1]*Sin[2*\[Theta]2])/(-1 +
- l1^2)))/(4096*\[Omega]1) +
- (p*
- Cos[2*\[CurlyPhi]1]*(32*k1*k2*l1*l2*(-2 + p)*\[Sigma]^2*
- Cos[2*\[Theta]2]*Sin[2*\[Theta]1] -
- 32*k1*k2*l1^2*l2*(-2 + p)*\[Sigma]^2*Cos[2*\[Theta]1]*
- Sin[2*\[Theta]2]))/(1024*l1*(-1 + l1^2)*l2*\[Omega]1) +
- (p*(96*k1*k2*l1*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*(-2 + p)*\[Sigma]^2*
- Cos[2*\[Theta]2]*Sin[2*\[Theta]1] -
- 96*k1*k2*l1^2*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*(-2 + p)*\[Sigma]^2*
- Cos[2*\[Theta]1]*
- Sin[2*\[Theta]2]))/(4096*
- l1*(-1 + l1^2)*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*\[Omega]1) +
- ((-2 + p)*p*\[Sigma]^2*
- Cos[4*\[CurlyPhi]1]*(-32*k1*k2*l1*
- l2*(-1 + l2^2)*(-l1^2 + l2^2)*
- Cos[2*\[Theta]2]*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi])*
- Sin[2*\[Theta]1] -
- 32*k1*k2*l1^2*(l1 - l2)*l2*(l1 + l2)*(-1 + l2^2)*
- Cos[2*\[Theta]1]*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi])*
- Sin[2*\[Theta]2]))/(4096*l1*(-1 + l1^2)*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*\[Omega]1*
- (4*Sin[4*l2*Pi] + Sin[8*l2*Pi])) +
- Cos[2*\[CurlyPhi]2]*((p*(-64*
- Cos[2*l1*\[Theta]1 -
- 2*\[Theta]2]*(-8*h2*
- l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Cos[2*l1*\[Theta]1] -
- 2*l1*(4*l2^2*(-1 - l1^2 + l2^2)*\[Beta]2 +
- k2^2*(-1 + l2^2)*(-l1^2 + l2^2)*
- \[Sigma]^2)*
- Sin[2*l1*\[Theta]1]) +
- 48*k2^2*
- l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*(-2 + p)*\[Sigma]^2*
- Cos[4*l1*\[Theta]1 - 4*\[Theta]2]*Sin[4*l1*\[Theta]1] +
- 48*k2^2*
- l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*(-2 + p)*\[Sigma]^2*
- Cos[4*l1*\[Theta]1]*Sin[4*l1*\[Theta]1 - 4*\[Theta]2] +
- 128*l1*((4*l2^2*(-1 - l1^2 + l2^2)*\[Beta]2 +
- k2^2*(-1 + l2^2)*(-l1^2 + l2^2)*\[Sigma]^2)*
- Cos[2*l1*\[Theta]1] -
- 4*h2*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Sin[2*l1*\[Theta]1])*
- Sin[2*l1*\[Theta]1 - 2*\[Theta]2]))/(1024*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 + l2)*\[Omega]1) +
- (p*(256*l1*
- Sin[2*l1*\[Theta]1]*(2*l1^2*\[Beta]2*
- Cos[2*l1*\[Theta]1 - 2*\[Theta]2] +
- 2*h2*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Sin[2*l1*\[Theta]1 - 2*\[Theta]2]) -
- 128*Cos[
- 2*l1*\[Theta]1]*(4*h2*
- l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Cos[2*l1*\[Theta]1 - 2*\[Theta]2] -
- 4*l1^3*\[Beta]2*Sin[2*l1*\[Theta]1 - 2*\[Theta]2]) +
- (1/2)*(l1 +
- l2)*(-2*(l1 - l2)*(-1 + l2^2)*
- Sin[2*l1*\[Theta]1]*(96*k2^2*l1*(-2 + p)*\[Sigma]^2*
- Cos[2*l1*\[Theta]1]*
- Cos[4*l1*\[Theta]1 - 4*\[Theta]2] -
- 128*l1*(4*\[Beta]2 + k2^2*\[Sigma]^2)*
- Cos[2*l1*\[Theta]1 - 2*\[Theta]2] -
- 48*k2^2*l1*(-2 + p)*\[Sigma]^2*
- Sin[2*l1*\[Theta]1]*
- Sin[4*l1*\[Theta]1 - 4*\[Theta]2]) -
- 4*l1*(l1 - l2)*(-1 + l2^2)*Cos[2*l1*\[Theta]1]*
- (24*k2^2*(-2 + p)*\[Sigma]^2*
- Cos[2*l1*\[Theta]1]*
- Sin[4*l1*\[Theta]1 - 4*\[Theta]2] -
- 64*(4*\[Beta]2 + k2^2*\[Sigma]^2)*
- Sin[2*l1*\[Theta]1 - 2*\[Theta]2]) +
- 8*k2*k3*
- l1*(4*l1 - 4*l2)*(-1 + l2^2)*(-2 + p)*\[Sigma]^2*
- Cos[2*\[Theta]3]*
- Sin[4*l1*\[Theta]1 - 4*l2*\[Theta]1 -
- 2*\[Theta]2] +
- 4*k3*l1*(-2 +
- p)*\[Sigma]^2*(8*k2*(l1 - l2)*(-1 + l2^2)*
- Cos[4*(l1 - l2)*\[Theta]1]*Cos[2*\[Theta]2] +
- 16*k2*(l1 - l2)*(-1 + l2^2)*
- Cos[2*(l1 - l2)*\[Theta]1]*
- Sin[2*(l1 - l2)*\[Theta]1]*Sin[2*\[Theta]2])*
- Sin[2*\[Theta]3])))/(1024*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 + l2)*\[Omega]1) -
- (k2*k3*(-1 + l2^2)*(-2 + p)*
- p*\[Sigma]^2*(4*(l1 - l2)*(l1 + l2)*
- Cos[2*(l1*\[Theta]1 -
- l2*\[Theta]1 - \[Theta]2 + \[Theta]3)]*
- Sin[2*(l1 - l2)*\[Theta]1] +
- 4*(l1 - l2)*(l1 + l2)*Cos[2*(l1 - l2)*\[Theta]1]*
- Sin[2*(l1*\[Theta]1 -
- l2*\[Theta]1 - \[Theta]2 + \[Theta]3)]))/(256*(l1 \
- - l2)*(-1 + l2)*(1 + l2)*(l1 + l2)*\[Omega]1)) + (1/(4*
- l1*(-1 + l1^2)*\[Omega]1))*
- ((-p)*
- Cos[\[Theta]2]*(l1*(h2 - h1*l1)*
- Cos[\[Theta]1] - (l1^2*\[Beta]1 + \[Beta]2)*
- Sin[\[Theta]1]) +
- l1*p*((-(l1^2*\[Beta]1 + \[Beta]2))*Cos[\[Theta]1]*
- Sin[\[Theta]2] + (h1 - h2*l1)*Sin[\[Theta]1]*
- Sin[\[Theta]2]))*Sin[2*\[CurlyPhi]2] +
- (1/(4*l1*(-1 + l1^2)*\[Omega]1))*
- Cos[2*\[CurlyPhi]1]*((-p)*
- Cos[\[Theta]2]*(l1*(h2 - h1*l1)*
- Cos[\[Theta]1] - (l1^2*\[Beta]1 + \[Beta]2)*
- Sin[\[Theta]1]) +
- l1*p*((-(l1^2*\[Beta]1 + \[Beta]2))*Cos[\[Theta]1]*
- Sin[\[Theta]2] + (h1 - h2*l1)*Sin[\[Theta]1]*
- Sin[\[Theta]2]))*Sin[2*\[CurlyPhi]2]) - (1/2)*
- k1*\[Sigma]^2*Cos[\[Theta]1]^2*Cos[\[CurlyPhi]1]*Sin[\[CurlyPhi]1]*
- (k1*Cos[\[CurlyPhi]2]^2*Sin[2*\[Theta]1] -
- k3*Sin[2*\[Theta]3] +
- k2*Sin[2*\[Theta]2]*
- Sin[\[CurlyPhi]2]^2)*((-(1/(512*\[Omega]1)))*(-2 + p)*
- p*\[Sigma]^2*Cos[4*\[CurlyPhi]2]*
- (4*k1^2*
- Cos[4*\[Theta]1] - (16*k1*k2*l1*Cos[2*\[Theta]1]*
- Cos[2*\[Theta]2])/(-1 + l1^2) - (16*k1*k2*
- Sin[2*\[Theta]1]*Sin[2*\[Theta]2])/(-1 + l1^2) +
- (2*(k1^2 + k2^2)*
- Sec[2*l2*
- Pi]*(8*l2*
- Pi*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3] - 4*Sin[4*l2*Pi] -
- Sin[8*l2*Pi] +
- 8*l2*Pi*Sin[2*l2*\[Theta]1 - 2*\[Theta]3]^2))/(3*
- Sin[2*l2*Pi] + Sin[6*l2*Pi]))*
- Sin[2*\[CurlyPhi]1] - (1/(128*\[Omega]1))*p*Cos[2*\[CurlyPhi]2]*
- ((-64*l1*(-\[Beta]1 + \[Beta]2) -
- 4*(k1 - k2)*(k1 + k2)*l1*(2 + p)*\[Sigma]^2)/l1 -
- 16*(4*\[Beta]1 + k1^2*\[Sigma]^2)*
- Cos[2*\[Theta]1] + (1024*l2*Pi*(-\[Beta]1 + \[Beta]2)*
- Cos[2*l2*Pi]*Cos[2*l2*\[Theta]1]*Cos[2*\[Theta]3])/
- (3*Sin[2*l2*Pi] + Sin[6*l2*Pi]) -
- 64*h1*Sin[
- 2*\[Theta]1] + (Sec[
- 2*l2*Pi]*(16*l1*l2*
- Pi*(16*\[Beta]1 -
- 16*\[Beta]2 - (k1 - k2)*(k1 + k2)*(2 +
- p)*\[Sigma]^2)*Cos[4*l2*\[Theta]1 - 4*\[Theta]3] +
- 4*k1^2*l1*(-2 + p)*\[Sigma]^2*Cos[2*l2*Pi]*
- Cos[4*\[Theta]1]*(3*Sin[2*l2*Pi] + Sin[6*l2*Pi]) +
- 32*l1*Pi*
- Cos[2*l2*Pi]^2*(2*(k1 - k2)*(k1 + k2)*
- l2*(2 + p)*\[Sigma]^2*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3] -
- 32*l2*(\[Beta]1 - \[Beta]2)*Sin[2*l2*\[Theta]1]*
- Sin[2*\[Theta]3])))/(l1*(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])))*Sin[2*\[CurlyPhi]1] -
- (1/(512*\[Omega]1))*
- p*((16*Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*(-2*l2*
- Cos[2*l2*(Pi - \[Theta]1)] -
- 2*l2*Cos[2*l2*(Pi + \[Theta]1)])*
- Cos[2*\[Theta]3])/(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi]) + (32*l2*
- Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*Cos[4*l2*\[Theta]1]*
- Cos[4*\[Theta]3])/
- (4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi]) + (1/(l1*(-1 + l1^2)*
- l2))*((-1 +
- l1^2)*(256*l1*l2*(\[Beta]1 + \[Beta]2 - \[Beta]3) -
- 4*l1*l2*(-8*k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2) +
- 12*k1^2*l1*(-1 + l1^2)*l2*(-2 + p)*\[Sigma]^2*
- Cos[4*\[Theta]1] +
- 16*l1*l2*
- Cos[2*\[Theta]1]*(-4*(-1 + l1^2)*(4*\[Beta]1 +
- k1^2*\[Sigma]^2) +
- k1*k2*l1*(-2 + p)*\[Sigma]^2*Cos[2*\[Theta]2]) -
- 16*l2*Sin[
- 2*\[Theta]1]*(16*h1*l1*(-1 + l1^2) -
- k1*k2*l1*(-2 + p)*\[Sigma]^2*Sin[2*\[Theta]2])) +
- (16*(2*l2^2*
- Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*
- Sin[2*l2*(Pi - \[Theta]1)] -
- 2*l2^2*Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*
- Sin[2*l2*(Pi + \[Theta]1)])*
- Sin[2*\[Theta]3])/(l2*(3*Sin[2*l2*Pi] + Sin[6*l2*Pi])) +
- (32*l2*
- Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*Sin[4*l2*\[Theta]1]*
- Sin[4*\[Theta]3])/(4*Sin[4*l2*Pi] + Sin[8*l2*Pi]))*
- Sin[2*\[CurlyPhi]1] -
- (1/(1024*\[Omega]1))*(-2 + p)*p*\[Sigma]^2*
- Cos[4*\[CurlyPhi]2]*(4*k1^2*
- Cos[4*\[Theta]1] - (16*k1*k2*l1*Cos[2*\[Theta]1]*
- Cos[2*\[Theta]2])/(-1 + l1^2) - (16*k1*k2*
- Sin[2*\[Theta]1]*Sin[2*\[Theta]2])/(-1 + l1^2) +
- (2*(k1^2 + k2^2)*
- Sec[2*l2*
- Pi]*(8*l2*
- Pi*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3] - 4*Sin[4*l2*Pi] -
- Sin[8*l2*Pi] +
- 8*l2*Pi*Sin[2*l2*\[Theta]1 - 2*\[Theta]3]^2))/(3*
- Sin[2*l2*Pi] + Sin[6*l2*Pi]))*Sin[4*\[CurlyPhi]1] -
- ((-2 + p)*p*\[Sigma]^2*
- Cos[2*\[CurlyPhi]2]*(128*(k1 - k2)*(k1 + k2)*l1*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*Pi*Cos[2*l2*Pi]^2*
- Cos[2*l2*\[Theta]1]*Cos[2*\[Theta]3] +
- 32*(-k1^2 + k2^2)*l1*(l1 - l2)*l2*(l1 + l2)*(-1 + l2^2)*Pi*
- Cos[4*l2*\[Theta]1]*Cos[4*\[Theta]3] -
- 128*(-k1^2 + k2^2)*l1*(l1 - l2)*l2*(l1 + l2)*(-1 + l2^2)*
- Pi*Cos[2*l2*Pi]^2*Sin[2*l2*\[Theta]1]*
- Sin[2*\[Theta]3] + (4*Sin[4*l2*Pi] +
- Sin[8*l2*
- Pi])*((l1 - l2)*(l1 + l2)*(-1 +
- l2^2)*(4*(-k1^2 + k2^2)*l1 +
- 4*k1^2*l1*Cos[4*\[Theta]1]) +
- 16*k1*k3*l1*l2*(-l1^2 + l2^2)*Cos[2*\[Theta]1]*
- Cos[2*\[Theta]3] -
- 16*k1*k3*l1*(l1 - l2)*(l1 + l2)*Sin[2*\[Theta]1]*
- Sin[2*\[Theta]3]) -
- 32*(k1 - k2)*(k1 + k2)*l1*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*Pi*Sin[4*l2*\[Theta]1]*
- Sin[4*\[Theta]3])*
- Sin[4*\[CurlyPhi]1])/(256*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 +
- l2)*\[Omega]1*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi])) -
- ((-2 + p)*
- p*\[Sigma]^2*(16*k1*k2*l1^2*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*Cos[2*\[Theta]1]*
- Cos[2*\[Theta]2]*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi]) -
- 16*k1*k2*l1*l2*(-1 + l2^2)*(-l1^2 + l2^2)*
- (4*Sin[4*l2*Pi] + Sin[8*l2*Pi])*
- Sin[2*\[Theta]1]*Sin[2*\[Theta]2] +
- l1*(-1 + l1^2)*(l1 - l2)*(l1 +
- l2)*(-32*(3*(k1^2 + k2^2) + 8*k3^2)*l2^2*(-1 + l2^2)*Pi*
- Cos[4*l2*\[Theta]1]*Cos[4*\[Theta]3] +
- l2*(-1 + l2^2)*(-4*(3*(k1^2 + k2^2) + 8*k3^2) +
- 12*k1^2*Cos[4*\[Theta]1])*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi]) + 32*l2*Cos[2*l2*Pi]*Cos[2*\[Theta]3]*
- (-6*k1^2*l2*Pi*
- Cos[2*l2*(Pi - \[Theta]1)] -
- 6*k2^2*l2*Pi*Cos[2*l2*(Pi - \[Theta]1)] -
- 16*k3^2*l2*Pi*Cos[2*l2*(Pi - \[Theta]1)] +
- 6*k1^2*l2^3*Pi*Cos[2*l2*(Pi - \[Theta]1)] +
- 6*k2^2*l2^3*Pi*Cos[2*l2*(Pi - \[Theta]1)] +
- 16*k3^2*l2^3*Pi*Cos[2*l2*(Pi - \[Theta]1)] +
- 2*(3*(k1^2 + k2^2) + 8*k3^2)*l2*(-1 + l2^2)*Pi*
- Cos[2*l2*(Pi + \[Theta]1)] -
- 6*k1*k3*l2*Sin[2*l2*Pi - 2*\[Theta]1] -
- 2*k1*k3*l2*Sin[6*l2*Pi - 2*\[Theta]1] -
- 6*k1*k3*l2*Sin[2*(l2*Pi + \[Theta]1)] -
- 2*k1*k3*l2*Sin[2*(3*l2*Pi + \[Theta]1)]) +
- 32*l2*Cos[
- 2*l2*Pi]*(2*(-3*(k1^2 + k2^2) - 8*k3^2)*
- l2*(-1 + l2^2)*Pi*Sin[2*l2*(Pi - \[Theta]1)] -
- 4*k1*k3*(3*Sin[2*l2*Pi] + Sin[6*l2*Pi])*
- Sin[2*\[Theta]1] +
- 2*(3*(k1^2 + k2^2) + 8*k3^2)*l2*(-1 + l2^2)*Pi*
- Sin[2*l2*(Pi + \[Theta]1)])*Sin[2*\[Theta]3] -
- 32*(3*(k1^2 + k2^2) + 8*k3^2)*l2^2*(-1 + l2^2)*Pi*
- Sin[4*l2*\[Theta]1]*Sin[4*\[Theta]3]))*
- Sin[4*\[CurlyPhi]1])/(1024*l1*(-1 + l1^2)*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*\[Omega]1*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])) -
- (1/(2*l1*(-1 + l1^2)*\[Omega]1))*(l1*
- p*((l1^2*\[Beta]1 + \[Beta]2)*Cos[\[Theta]1]*
- Cos[\[Theta]2] - (h1 - h2*l1)*Cos[\[Theta]2]*
- Sin[\[Theta]1]) -
- p*(l1*(h2 - h1*l1)*
- Cos[\[Theta]1] - (l1^2*\[Beta]1 + \[Beta]2)*
- Sin[\[Theta]1])*
- Sin[\[Theta]2])*Sin[2*\[CurlyPhi]1]*
- Sin[2*\[CurlyPhi]2]) - (1/2)*k2*\[Sigma]^2*Cos[\[Theta]2]^2*
- Cos[\[CurlyPhi]1]*
- Sin[\[CurlyPhi]1]*(k1*Cos[\[CurlyPhi]2]^2*Sin[2*\[Theta]1] -
- k3*Sin[2*\[Theta]3] + k2*Sin[2*\[Theta]2]*Sin[\[CurlyPhi]2]^2)*
- (-((p*
- Cos[2*\[CurlyPhi]2]*((64*\[Beta]2*Cos[2*\[Theta]2] +
- k2^2*\[Sigma]^2*(16*Cos[2*\[Theta]2] -
- 4*(-2 + p)*Cos[4*\[Theta]2]))/
- l1 + (64*h2*Sin[2*\[Theta]2])/l1)*
- Sin[2*\[CurlyPhi]1])/(128*\[Omega]1)) -
- (1/(512*\[Omega]1))*(-2 + p)*p*\[Sigma]^2*
- Cos[4*\[CurlyPhi]2]*((16*k1*k2*Cos[2*\[Theta]1]*
- Cos[2*\[Theta]2])/(-1 + l1^2) + (4*k2^2*Cos[4*\[Theta]2])/
- l1 + (16*k1*k2*l1*Sin[2*\[Theta]1]*Sin[2*\[Theta]2])/(-1 +
- l1^2))*
- Sin[2*\[CurlyPhi]1] - (1/(512*l1*(-1 + l1^2)*l2*\[Omega]1))*
- p*(-16*k1*k2*l1*l2*(-2 + p)*\[Sigma]^2*Cos[2*\[Theta]1]*
- Cos[2*\[Theta]2] -
- 16*k1*k2*l1^2*l2*(-2 + p)*\[Sigma]^2*Sin[2*\[Theta]1]*
- Sin[2*\[Theta]2] +
- (-1 +
- l1^2)*(-64*l2*(4*\[Beta]2 + k2^2*\[Sigma]^2)*
- Cos[2*\[Theta]2] +
- 12*k2^2*l2*(-2 + p)*\[Sigma]^2*Cos[4*\[Theta]2] -
- 256*h2*l2*Sin[2*\[Theta]2]))*Sin[2*\[CurlyPhi]1] -
- (1/(1024*\[Omega]1))*(-2 + p)*p*\[Sigma]^2*
- Cos[4*\[CurlyPhi]2]*((16*k1*k2*Cos[2*\[Theta]1]*
- Cos[2*\[Theta]2])/(-1 + l1^2) + (4*k2^2*Cos[4*\[Theta]2])/
- l1 + (16*k1*k2*l1*Sin[2*\[Theta]1]*Sin[2*\[Theta]2])/(-1 +
- l1^2))*
- Sin[4*\[CurlyPhi]1] - ((-2 + p)*p*\[Sigma]^2*
- Cos[2*\[CurlyPhi]2]*(-4*k2^2*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Cos[4*\[Theta]2] -
- 16*k2*k3*l1*l2*(-1 + l2^2)*Cos[2*\[Theta]2]*
- Cos[2*\[Theta]3] -
- 16*k2*k3*l1^2*(-1 + l2^2)*Sin[2*\[Theta]2]*
- Sin[2*\[Theta]3])*Sin[4*\[CurlyPhi]1])/(256*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 + l2)*\[Omega]1) -
- ((-2 + p)*
- p*\[Sigma]^2*(12*k2^2*(-1 + l1^2)*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*
- Cos[4*\[Theta]2]*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi]) +
- 16*k2*l1*l2*(-1 + l2^2)*Cos[2*\[Theta]2]*
- (k1*(-l1^2 + l2^2)*Cos[2*\[Theta]1] +
- 4*k3*(-1 + l1^2)*l2*Cos[2*\[Theta]3])*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi]) -
- 16*k2*l1^2*l2*(-1 + l2^2)*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi])*
- Sin[2*\[Theta]2]*
- (k1*(l1 - l2)*(l1 + l2)*Sin[2*\[Theta]1] -
- 4*k3*(-1 + l1^2)*Sin[2*\[Theta]3]))*
- Sin[4*\[CurlyPhi]1])/(1024*l1*(-1 + l1^2)*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*\[Omega]1*
- (4*Sin[4*l2*Pi] + Sin[8*l2*Pi])) + (Cos[
- 2*\[CurlyPhi]1]*(l2*
- p*((-(l2^2*\[Beta]2 + l1^2*\[Beta]3))*Cos[\[Theta]2]*
- Cos[\[Theta]3] -
- l1*((-h2)*l1 + h3*l2)*Cos[\[Theta]3]*Sin[\[Theta]2]) +
- l1*p*(l2*(h3*l1 - h2*l2)*
- Cos[\[Theta]2] - (l2^2*\[Beta]2 + l1^2*\[Beta]3)*
- Sin[\[Theta]2])*Sin[\[Theta]3])*
- Sin[\[CurlyPhi]2])/(l1*(l1 - l2)*l2*(l1 + l2)*\[Omega]1) -
- (1/(2*l1*(-1 + l1^2)*\[Omega]1))*((-p)*
- Cos[\[Theta]2]*((l1^2*\[Beta]1 + \[Beta]2)*Cos[\[Theta]1] +
- l1*(h2 - h1*l1)*Sin[\[Theta]1]) +
- l1*p*((-(h1 - h2*l1))*Cos[\[Theta]1]*
- Sin[\[Theta]2] - (l1^2*\[Beta]1 + \[Beta]2)*
- Sin[\[Theta]1]*Sin[\[Theta]2]))*Sin[2*\[CurlyPhi]1]*
- Sin[2*\[CurlyPhi]2]) +
- ((1/(4096*\[Omega]1))*3*(-2 + p)*p*\[Sigma]^2*
- Cos[4*\[CurlyPhi]2]*(-((8*k1*k2*l1*Cos[2*\[Theta]2]*
- Sin[2*\[Theta]1])/(-1 + l1^2)) +
- k1^2*Sin[
- 4*\[Theta]1] + (8*k1*k2*Cos[2*\[Theta]1]*
- Sin[2*\[Theta]2])/(-1 + l1^2) +
- (k2^2*Sin[4*\[Theta]2])/
- l1 + (2*(k1^2 + k2^2)*
- Sec[2*l2*
- Pi]*((-\[Theta]1)*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi]) +
- 4*Pi*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3]))/
- (3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])) + (1/(1024*\[Omega]1))*(-2 + p)*
- p*\[Sigma]^2*Cos[2*\[CurlyPhi]1]*
- Cos[4*\[CurlyPhi]2]*(-((8*k1*k2*l1*Cos[2*\[Theta]2]*
- Sin[2*\[Theta]1])/(-1 + l1^2)) + k1^2*Sin[4*\[Theta]1] +
- (8*k1*k2*Cos[2*\[Theta]1]*Sin[2*\[Theta]2])/(-1 +
- l1^2) + (k2^2*Sin[4*\[Theta]2])/
- l1 + (2*(k1^2 + k2^2)*
- Sec[2*l2*
- Pi]*((-\[Theta]1)*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi]) +
- 4*Pi*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3]))/(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])) + (1/(4096*\[Omega]1))*(-2 + p)*
- p*\[Sigma]^2*Cos[4*\[CurlyPhi]1]*Cos[4*\[CurlyPhi]2]*
- (-((8*k1*k2*l1*Cos[2*\[Theta]2]*Sin[2*\[Theta]1])/(-1 +
- l1^2)) +
- k1^2*Sin[
- 4*\[Theta]1] + (8*k1*k2*Cos[2*\[Theta]1]*
- Sin[2*\[Theta]2])/(-1 + l1^2) + (k2^2*Sin[4*\[Theta]2])/
- l1 +
- (2*(k1^2 + k2^2)*
- Sec[2*l2*
- Pi]*((-\[Theta]1)*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi]) +
- 4*Pi*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3]))/
- (3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])) + (1/(256*\[Omega]1))*p*
- Cos[2*\[CurlyPhi]1]*
- Cos[2*\[CurlyPhi]2]*((32*h2 -
- 32*l1*(h1 + 2*(-\[Beta]1 + \[Beta]2)*\[Theta]1) -
- 4*(k1 - k2)*(k1 + k2)*l1*(2 + p)*\[Theta]1*\[Sigma]^2)/
- l1 +
- 32*h1*Cos[2*\[Theta]1] - (32*h2*Cos[2*\[Theta]2])/l1 -
- 8*(4*\[Beta]1 + k1^2*\[Sigma]^2)*
- Sin[2*\[Theta]1] + (512*Pi*(-\[Beta]1 + \[Beta]2)*
- Cos[2*l2*Pi]*Cos[2*\[Theta]3]*Sin[2*l2*\[Theta]1])/
- (3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi]) + (Sec[
- 2*l2*Pi]*(Cos[
- 2*l2*Pi]*(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])*(32*\[Beta]2*
- Sin[2*\[Theta]2] + \[Sigma]^2*(k1^2*l1*(-2 + p)*
- Sin[4*\[Theta]1] + k2^2*
- (8*Sin[2*\[Theta]2] - (-2 + p)*
- Sin[4*\[Theta]2]))) +
- 4*l1*Pi*(16*\[Beta]1 -
- 16*\[Beta]2 - (k1 - k2)*(k1 + k2)*(2 +
- p)*\[Sigma]^2)*Sin[4*l2*\[Theta]1 - 4*\[Theta]3] +
- 32*l1*Pi*
- Cos[2*l2*Pi]^2*((k1 - k2)*(k1 + k2)*(2 + p)*\[Sigma]^2*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3] +
- 16*(\[Beta]1 - \[Beta]2)*Cos[2*l2*\[Theta]1]*
- Sin[2*\[Theta]3])))/(l1*(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi]))) +
- ((-2 + p)*p*\[Sigma]^2*Cos[4*\[CurlyPhi]1]*
- Cos[2*\[CurlyPhi]2]*(64*(k1 - k2)*(k1 + k2)*
- l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*Pi*Cos[2*l2*Pi]^2*
- Cos[2*\[Theta]3]*Sin[2*l2*\[Theta]1] +
- 8*(-k1^2 + k2^2)*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*Pi*
- Cos[4*\[Theta]3]*Sin[4*l2*\[Theta]1] +
- 64*(-k1^2 + k2^2)*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*Pi*
- Cos[2*l2*Pi]^2*Cos[2*l2*\[Theta]1]*
- Sin[2*\[Theta]3] + (4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])*(8*k3*l1*l2*
- Cos[2*\[Theta]3]*(k1*(-l1^2 + l2^2)*Sin[2*\[Theta]1] -
- k2*(-1 + l2^2)*Sin[2*\[Theta]2]) +
- (l1 - l2)*(l1 + l2)*(-1 +
- l2^2)*(4*(-k1^2 + k2^2)*l1*\[Theta]1 +
- k1^2*l1*Sin[4*\[Theta]1] - k2^2*Sin[4*\[Theta]2]) +
- 8*k3*l1*(k1*(l1 - l2)*(l1 + l2)*Cos[2*\[Theta]1] +
- k2*l1*(-1 + l2^2)*Cos[2*\[Theta]2])*
- Sin[2*\[Theta]3]) +
- 8*(k1 - k2)*(k1 + k2)*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Pi*Cos[4*l2*\[Theta]1]*Sin[4*\[Theta]3]))/
- (1024*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 +
- l2)*\[Omega]1*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])) + (1/(1024*\[Omega]1))*p*Cos[2*\[CurlyPhi]1]*
- ((8*
- Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*Cos[4*\[Theta]3]*
- Sin[4*l2*\[Theta]1])/(4*Sin[4*l2*Pi] + Sin[8*l2*Pi]) +
- (16*
- Cos[2*\[Theta]3]*(-8*h3*(3*Sin[2*l2*Pi] + Sin[6*l2*Pi]) +
- l2*Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*
- (Sin[2*l2*(Pi - \[Theta]1)] -
- Sin[2*l2*(Pi + \[Theta]1)])))/(l2*(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])) + (1/(l1*(-1 + l1^2)*l2))*
- (8*l1*
- l2*(-4*(-1 + l1^2)*(4*\[Beta]1 + k1^2*\[Sigma]^2) +
- k1*k2*l1*(-2 + p)*\[Sigma]^2*Cos[2*\[Theta]2])*
- Sin[2*\[Theta]1] +
- 3*k1^2*l1*(-1 + l1^2)*l2*(-2 + p)*\[Sigma]^2*
- Sin[4*\[Theta]1] +
- 8*l2*Cos[
- 2*\[Theta]1]*(16*h1*l1*(-1 + l1^2) -
- k1*k2*l1*(-2 + p)*\[Sigma]^2*Sin[2*\[Theta]2]) + (-1 +
- l1^2)*(128*(h3*l1 - (h2 + h1*l1)*l2 +
- 2*l1*l2*(\[Beta]1 + \[Beta]2 - \[Beta]3)*\[Theta]1) \
- -
- 4*l1*l2*(-8*k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Theta]1*\[Sigma]^2 +
- 128*h2*l2*Cos[2*\[Theta]2] -
- 32*l2*(4*\[Beta]2 + k2^2*\[Sigma]^2)*Sin[2*\[Theta]2] +
- 3*k2^2*l2*(-2 + p)*\[Sigma]^2*
- Sin[4*\[Theta]2])) + (16*(l2*
- Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*
- Cos[2*l2*(Pi - \[Theta]1)] +
- l2*Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*
- Cos[2*l2*(Pi + \[Theta]1)] +
- 4*(2*\[Beta]3 + k3^2*\[Sigma]^2)*(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi]))*
- Sin[2*\[Theta]3])/(l2*(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])) - (8*(l2*
- Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*Cos[4*l2*\[Theta]1] +
- k3^2*(-2 + p)*\[Sigma]^2*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi]))*
- Sin[4*\[Theta]3])/(l2*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi]))) +
- ((-2 + p)*p*\[Sigma]^2*
- Cos[4*\[CurlyPhi]1]*(8*k2*l1*
- l2*(-1 + l2^2)*(k1*(-l1^2 + l2^2)*Cos[2*\[Theta]1] +
- 4*k3*(-1 + l1^2)*l2*Cos[2*\[Theta]3])*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])*Sin[2*\[Theta]2] +
- 3*k2^2*(-1 + l1^2)*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi])*
- Sin[4*\[Theta]2] +
- 8*k2*l1^2*l2*(-1 + l2^2)*
- Cos[2*\[Theta]2]*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi])*
- (k1*(l1 - l2)*(l1 + l2)*Sin[2*\[Theta]1] -
- 4*k3*(-1 + l1^2)*Sin[2*\[Theta]3]) +
- l1*(-1 + l1^2)*(l1 - l2)*(l1 + l2)*
- (l2*(-1 + l2^2)*(4*Sin[4*l2*Pi] +
- Sin[8*l2*
- Pi])*(-4*(3*(k1^2 + k2^2) + 8*k3^2)*\[Theta]1 +
- 3*k1^2*Sin[4*\[Theta]1]) -
- 8*(3*(k1^2 + k2^2) + 8*k3^2)*l2*(-1 + l2^2)*Pi*
- Cos[4*\[Theta]3]*
- Sin[4*l2*\[Theta]1] +
- 32*l2*Cos[2*l2*Pi]*
- Cos[2*\[Theta]3]*(-3*k1*k3*l2*
- Cos[2*l2*Pi - 2*\[Theta]1] -
- k1*k3*l2*Cos[6*l2*Pi - 2*\[Theta]1] +
- 3*k1*k3*l2*Cos[2*(l2*Pi + \[Theta]1)] +
- k1*k3*l2*Cos[2*(3*l2*Pi + \[Theta]1)] +
- 3*k1^2*Pi*Sin[2*l2*(Pi - \[Theta]1)] +
- 3*k2^2*Pi*Sin[2*l2*(Pi - \[Theta]1)] +
- 8*k3^2*Pi*Sin[2*l2*(Pi - \[Theta]1)] -
- 3*k1^2*l2^2*Pi*Sin[2*l2*(Pi - \[Theta]1)] -
- 3*k2^2*l2^2*Pi*Sin[2*l2*(Pi - \[Theta]1)] -
- 8*k3^2*l2^2*Pi*
- Sin[2*l2*(Pi - \[Theta]1)] + (3*(k1^2 + k2^2) +
- 8*k3^2)*(-1 + l2^2)*Pi*
- Sin[2*l2*(Pi + \[Theta]1)]) +
- 32*l2*Cos[
- 2*l2*Pi]*((-3*(k1^2 + k2^2) - 8*k3^2)*(-1 + l2^2)*Pi*
- Cos[2*l2*(Pi - \[Theta]1)] - (3*(k1^2 + k2^2) +
- 8*k3^2)*(-1 + l2^2)*Pi*
- Cos[2*l2*(Pi + \[Theta]1)] +
- 2*k1*k3*
- Cos[2*\[Theta]1]*(3*Sin[2*l2*Pi] + Sin[6*l2*Pi]))*
- Sin[2*\[Theta]3] +
- 8*(-1 +
- l2^2)*((3*(k1^2 + k2^2) + 8*k3^2)*l2*Pi*
- Cos[4*l2*\[Theta]1] +
- k3^2*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi]))*
- Sin[4*\[Theta]3])))/(4096*l1*(-1 + l1^2)*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*\[Omega]1*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])) +
- (p*(8*l1*(l1 - l2)*l2*(l1 + l2)*
- Cos[2*\[Theta]1]*(64*h1*(-1 + l1^2)*(-1 + l2^2) +
- k1*(-2 +
- p)*\[Sigma]^2*(-3*k2*(-1 + l2^2)*Sin[2*\[Theta]2] -
- 4*k3*(-1 + l1^2)*Sin[2*\[Theta]3])) +
- 8*l2*(-1 + l2^2)*
- Cos[2*\[Theta]2]*(64*h2*(-1 + l1^2)*(l1 - l2)*(l1 + l2) +
- k2*l1^2*(-2 +
- p)*\[Sigma]^2*(3*k1*(l1 - l2)*(l1 + l2)*
- Sin[2*\[Theta]1] +
- 4*k3*(-1 + l1^2)*Sin[2*\[Theta]3])) +
- (-1 +
- l1^2)*(32*
- Cos[2*\[Theta]3]*(16*h3*
- l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2) +
- k3*l1*l2^2*(-2 +
- p)*\[Sigma]^2*(k1*(l1 - l2)*(l1 + l2)*
- Sin[2*\[Theta]1] -
- k2*(-1 + l2^2)*Sin[2*\[Theta]2])) -
- (l1 - l2)*(l1 + l2)*(-1 +
- l2^2)*(512*(h3*l1 + (h2 + h1*l1)*l2) +
- l2*(128*l1*(4*\[Beta]1 + k1^2*\[Sigma]^2)*
- Sin[2*\[Theta]1] +
- 512*\[Beta]2*
- Sin[2*\[Theta]2] + \[Sigma]^2*(-9*k1^2*
- l1*(-2 + p)*Sin[4*\[Theta]1] +
- k2^2*(128*Sin[2*\[Theta]2] -
- 9*(-2 + p)*Sin[4*\[Theta]2]))) +
- 256*l1*(2*\[Beta]3 + k3^2*\[Sigma]^2)*
- Sin[2*\[Theta]3] -
- 24*k3^2*l1*(-2 + p)*\[Sigma]^2*Sin[4*\[Theta]3]))))/
- (4096*l1*(-1 + l1^2)*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*\[Omega]1) +
- Cos[2*\[CurlyPhi]2]*((p*
- Pi*(-64*\[Beta]1 +
- 64*\[Beta]2 + (k1 - k2)*(k1 + k2)*(10 +
- 3*p)*\[Sigma]^2)*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3])/
- (64*\[Omega]1*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])) + (p*(3*
- k2^2*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*(-2 +
- p)*\[Sigma]^2*Cos[4*l1*\[Theta]1]*
- Sin[4*l1*\[Theta]1 - 4*\[Theta]2] +
- 32*((4*l2^2*(-1 - l1^2 + l2^2)*\[Beta]2 +
- k2^2*(-1 + l2^2)*(-l1^2 + l2^2)*\[Sigma]^2)*
- Cos[2*l1*\[Theta]1] -
- 4*h2*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Sin[2*l1*\[Theta]1])*
- Sin[2*l1*\[Theta]1 - 2*\[Theta]2] +
- 4*k1*k3*
- l1*(l2^2*(2 + 2*l2 - p) +
- l1^2*(1 + l2)*(-2 + p))*\[Sigma]^2*
- Cos[2*(-1 + l2)*\[Theta]1]*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3]))/(1024*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 + l2)*\[Omega]1) +
- (p*(128*h1*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Cos[2*\[Theta]1] -
- 128*Cos[
- 2*l1*\[Theta]1]*(h2*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Cos[2*l1*\[Theta]1 - 2*\[Theta]2] -
- l1^2*\[Beta]2*Sin[2*l1*\[Theta]1 - 2*\[Theta]2]) +
- (1/2)*(l1 +
- l2)*(8*l1*(l1 - l2)*(-1 + l2)*(1 +
- l2)*\[Theta]1*(64*\[Beta]1 -
- 64*\[Beta]2 - (k1 - k2)*(k1 + k2)*(10 +
- 3*p)*\[Sigma]^2) +
- 4*l1*(l1 -
- l2)*(-16*(-1 + l2^2)*(4*\[Beta]1 +
- k1^2*\[Sigma]^2) + k1*
- (-2 +
- p)*\[Sigma]^2*(3*k1*(-1 + l2^2)*
- Cos[2*\[Theta]1] +
- 4*k3*l2*Cos[2*l2*\[Theta]1]*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3]))*
- Sin[2*\[Theta]1] - 2*(l1 - l2)*(-1 + l2^2)*
- (6*k2^2*(-2 + p)*\[Sigma]^2*
- Cos[2*l1*\[Theta]1]*
- Cos[4*l1*\[Theta]1 - 4*\[Theta]2] -
- 32*(4*\[Beta]2 + k2^2*\[Sigma]^2)*
- Cos[2*l1*\[Theta]1 - 2*\[Theta]2])*
- Sin[2*l1*\[Theta]1] +
- 4*k3*l1*(-2 + p)*\[Sigma]^2*
- Cos[2*\[Theta]3]*(2*k1*(-l1 + l2)*Cos[2*\[Theta]1]*
- Sin[4*l2*\[Theta]1] +
- k2*(-1 +
- l2^2)*(Sin[
- 4*l1*\[Theta]1 - 4*l2*\[Theta]1 - 2*\[Theta]2] +
- Sin[2*\[Theta]2])) +
- 4*k3*l1*(-2 +
- p)*\[Sigma]^2*(-2*k2*(-1 + l2^2)*Cos[2*\[Theta]2]*
- Sin[2*(l1 - l2)*\[Theta]1]^2 +
- 4*k1*(-l1 + l2)*Cos[2*\[Theta]1]*
- Sin[2*l2*\[Theta]1]^2 +
- k2*(-1 + l2^2)*Sin[4*(l1 - l2)*\[Theta]1]*
- Sin[2*\[Theta]2])*
- Sin[2*\[Theta]3])))/(1024*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 + l2)*\[Omega]1) +
- (p*(k1*k3*
- l1*(-1 + l2)*(-l1^2 + l2^2)*(-2 + p)*\[Sigma]^2*
- Cos[2*(1 + l2)*\[Theta]1]*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3] +
- k1*k3*l1*l2^3*p*\[Sigma]^2*Cos[2*(-1 + l2)*\[Theta]1]*
- Sin[2*((-l2)*\[Theta]1 + \[Theta]3)] -
- (-1 +
- l2^2)*(-32*(h2 - h1*l1)*(l1 - l2)*(l1 + l2) +
- k2*k3*l1*(-2 +
- p)*\[Sigma]^2*((l1 + l2)*
- Cos[2*(l1 - l2)*\[Theta]1]*
- Sin[2*(l1*\[Theta]1 -
- l2*\[Theta]1 - \[Theta]2 + \[Theta]3)] + (l1 - l2)*
- Sin[2*(\[Theta]2 + \[Theta]3)]))))/(256*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 + l2)*\[Omega]1)) +
- ((l2*
- p*(l1*((-h2)*l1 + h3*l2)*(-1 +
- Cos[\[Theta]2]*Cos[\[Theta]3]) - (l2^2*\[Beta]2 +
- l1^2*\[Beta]3)*Cos[\[Theta]3]*Sin[\[Theta]2]) +
- l1*p*((l2^2*\[Beta]2 + l1^2*\[Beta]3)*Cos[\[Theta]2] +
- l2*(h3*l1 - h2*l2)*Sin[\[Theta]2])*
- Sin[\[Theta]3])*Sin[2*\[CurlyPhi]1]*
- Sin[\[CurlyPhi]2])/(2*l1*(l1 - l2)*
- l2*(l1 + l2)*\[Omega]1) + (1/(4*l1*(-1 + l1^2)*\[Omega]1))*
- (l1*
- p*((h1 - h2*l1)*(-1 +
- Cos[\[Theta]1]*
- Cos[\[Theta]2]) + (l1^2*\[Beta]1 + \[Beta]2)*
- Cos[\[Theta]2]*Sin[\[Theta]1]) -
- p*((l1^2*\[Beta]1 + \[Beta]2)*Cos[\[Theta]1] +
- l1*(h2 - h1*l1)*Sin[\[Theta]1])*Sin[\[Theta]2])*
- Sin[2*\[CurlyPhi]2] +
- (1/(4*l1*(-1 + l1^2)*\[Omega]1))*
- Cos[2*\[CurlyPhi]1]*(l1*
- p*((h1 - h2*l1)*(-1 +
- Cos[\[Theta]1]*
- Cos[\[Theta]2]) + (l1^2*\[Beta]1 + \[Beta]2)*
- Cos[\[Theta]2]*Sin[\[Theta]1]) -
- p*((l1^2*\[Beta]1 + \[Beta]2)*Cos[\[Theta]1] +
- l1*(h2 - h1*l1)*Sin[\[Theta]1])*Sin[\[Theta]2])*
- Sin[2*\[CurlyPhi]2])*
- (-((p*(-256*(\[Beta]1 + \[Beta]2 + \[Beta]3) + (8*
- k3^2*(10 + 3*p) + k1^2*(46 + 9*p) +
- k2^2*(46 + 9*p))*\[Sigma]^2))/1024) +
- (1/(8*\[Omega]1*\[Omega]2*\[Omega]3))*
- p*(4*k1^2*\[Sigma]^2*\[Omega]1*\[Omega]2*\[Omega]3*
- Cos[\[Theta]1]^4*Cos[\[CurlyPhi]1]^2*
- Cos[\[CurlyPhi]2]^2 + \[Omega]1*\[Omega]2*\[Omega]3*
- Sin[\[CurlyPhi]1]^2*(8*
- Sin[\[Theta]3]*(h3*Cos[\[Theta]3] - \[Beta]3*
- Sin[\[Theta]3]) +
- k3^2*\[Sigma]^2*(4*Cos[\[Theta]3]^4 +
- Sin[2*\[Theta]3]^2*(-1 + p*Sin[\[CurlyPhi]1]^2))) -
- 8*\[Omega]1*\[Omega]2*\[Omega]3*
- Cos[\[CurlyPhi]1]*(h2*Cos[\[Theta]3]*Sin[\[Theta]2] +
- h3*Cos[\[Theta]2]*Sin[\[Theta]3])*Sin[\[CurlyPhi]1]*
- Sin[\[CurlyPhi]2] +
- 4*\[Omega]1*(\[Beta]3*\[Omega]2^2 + \[Beta]2*\[Omega]3^2)*
- Sin[\[Theta]2]*Sin[\[Theta]3]*Sin[2*\[CurlyPhi]1]*
- Sin[\[CurlyPhi]2] -
- 8*k1*k2*\[Sigma]^2*\[Omega]1*\[Omega]2*\[Omega]3*
- Cos[\[Theta]1]^3*Cos[\[Theta]2]*Cos[\[CurlyPhi]1]^2*
- Cos[\[CurlyPhi]2]^2*Sin[\[Theta]1]*Sin[\[Theta]2]*
- Sin[\[CurlyPhi]2]^2 +
- 4*k2^2*p*\[Sigma]^2*\[Omega]1*\[Omega]2*\[Omega]3*
- Cos[\[Theta]2]^2*Cos[\[CurlyPhi]1]^4*Sin[\[Theta]2]^2*
- Sin[\[CurlyPhi]2]^4 +
- 4*\[Sigma]^2*\[Omega]1*\[Omega]2*\[Omega]3*Cos[\[Theta]1]^2*
- Cos[\[CurlyPhi]1]^2*Cos[\[CurlyPhi]2]^2*
- (2*k2^2*Cos[\[Theta]2]^2*Sin[\[Theta]2]^2*
- Sin[\[CurlyPhi]2]^2 +
- k1^2*Sin[\[Theta]1]^2*((p*Cos[\[CurlyPhi]1]^2 -
- Cos[2*\[CurlyPhi]1])*Cos[\[CurlyPhi]2]^2 +
- Sin[\[CurlyPhi]2]^2)) +
- 4*\[Sigma]^2*\[Omega]1*\[Omega]2*\[Omega]3*
- Cos[\[CurlyPhi]1]^2*
- Sin[\[CurlyPhi]1]^2*(2*k3^2*Cos[\[Theta]3]^2*
- Sin[\[Theta]3]^2 +
- 2*k2*Cos[\[Theta]2]*Sin[\[Theta]2]*
- Sin[\[CurlyPhi]2]^2*((-k3)*Sin[2*\[Theta]3] +
- k2*Cos[\[Theta]2]*Sin[\[Theta]2]*Sin[\[CurlyPhi]2]^2) +
- k1*Cos[\[CurlyPhi]2]^2*
- Sin[2*\[Theta]1]*((-k3)*Sin[2*\[Theta]3] +
- k2*Sin[2*\[Theta]2]*
- Sin[\[CurlyPhi]2]^2)) + \[Omega]1*\[Omega]2*\[Omega]3*
- Cos[\[Theta]1]*Cos[\[CurlyPhi]1]^2*Cos[\[CurlyPhi]2]*
- (-8*h2*Sin[\[Theta]2]*Sin[\[CurlyPhi]2] +
- 2*k1*\[Sigma]^2*Cos[\[CurlyPhi]2]*
- Sin[\[Theta]1]*(2*k3*p*Sin[2*\[Theta]3]*
- Sin[\[CurlyPhi]1]^2 +
- k2*(-3 + p + Cos[2*\[Theta]1] + p*Cos[2*\[CurlyPhi]1])*
- Sin[2*\[Theta]2]*Sin[\[CurlyPhi]2]^2)) +
- 4*\[Omega]3*
- Cos[\[CurlyPhi]1]^2*(4*\[Omega]1*\[Omega]2*
- Cos[\[CurlyPhi]2]^2*
- Sin[\[Theta]1]*(h1*Cos[\[Theta]1] - \[Beta]1*
- Sin[\[Theta]1]) -
- 2*h1*\[Omega]1*\[Omega]2*Cos[\[Theta]2]*Cos[\[CurlyPhi]2]*
- Sin[\[Theta]1]*Sin[\[CurlyPhi]2] +
- \[Omega]1*\[Omega]2*(4*
- Sin[\[Theta]2]*(h2*Cos[\[Theta]2] - \[Beta]2*
- Sin[\[Theta]2]) +
- k2*\[Sigma]^2*
- Cos[\[Theta]2]*(k2*Cos[\[Theta]2]^3 -
- k2*Cos[\[Theta]2]*Sin[\[Theta]2]^2 +
- k3*p*Sin[\[Theta]2]*Sin[2*\[Theta]3]*
- Sin[\[CurlyPhi]1]^2))*Sin[\[CurlyPhi]2]^2 +
- (\[Beta]2*\[Omega]1^2 + \[Beta]1*\[Omega]2^2)*
- Sin[\[Theta]1]*Sin[\[Theta]2]*
- Sin[2*\[CurlyPhi]2] + (1/8)*
- k2^2*\[Sigma]^2*\[Omega]1*\[Omega]2*Sin[\[Theta]1]^2*
- Sin[2*\[Theta]2]^2*Sin[2*\[CurlyPhi]2]^2))) +
- k2*\[Sigma]^2*Cos[\[Theta]2]^2*
- Cos[\[CurlyPhi]2]*((-k1)*Cos[\[Theta]1]*Sin[\[Theta]1] +
- k2*Cos[\[Theta]2]*Sin[\[Theta]2])*Sin[\[CurlyPhi]2]*
- ((1/(2*l1*(-1 + l1^2)*\[Omega]1))*
- Cos[2*\[CurlyPhi]2]*((-p)*
- Cos[\[Theta]2]*((l1^2*\[Beta]1 + \[Beta]2)*Cos[\[Theta]1] +
- l1*(h2 - h1*l1)*Sin[\[Theta]1]) +
- l1*p*((-(h1 - h2*l1))*Cos[\[Theta]1]*
- Sin[\[Theta]2] - (l1^2*\[Beta]1 + \[Beta]2)*
- Sin[\[Theta]1]*Sin[\[Theta]2])) + (1/(2*
- l1*(-1 + l1^2)*\[Omega]1))*Cos[2*\[CurlyPhi]1]*
- Cos[2*\[CurlyPhi]2]*
- ((-p)*
- Cos[\[Theta]2]*((l1^2*\[Beta]1 + \[Beta]2)*Cos[\[Theta]1] +
- l1*(h2 - h1*l1)*Sin[\[Theta]1]) +
- l1*p*((-(h1 - h2*l1))*Cos[\[Theta]1]*
- Sin[\[Theta]2] - (l1^2*\[Beta]1 + \[Beta]2)*
- Sin[\[Theta]1]*Sin[\[Theta]2])) +
- (Cos[\[CurlyPhi]2]*(l2*
- p*((-(l2^2*\[Beta]2 + l1^2*\[Beta]3))*Cos[\[Theta]2]*
- Cos[\[Theta]3] -
- l1*((-h2)*l1 + h3*l2)*Cos[\[Theta]3]*Sin[\[Theta]2]) +
- l1*p*(l2*(h3*l1 - h2*l2)*
- Cos[\[Theta]2] - (l2^2*\[Beta]2 + l1^2*\[Beta]3)*
- Sin[\[Theta]2])*Sin[\[Theta]3])*
- Sin[2*\[CurlyPhi]1])/(2*l1*(l1 - l2)*
- l2*(l1 + l2)*\[Omega]1) -
- (p*
- Cos[2*\[CurlyPhi]1]*((64*\[Beta]2*Cos[2*\[Theta]2] +
- k2^2*\[Sigma]^2*(16*Cos[2*\[Theta]2] -
- 4*(-2 + p)*Cos[4*\[Theta]2]))/
- l1 + (64*h2*Sin[2*\[Theta]2])/l1)*
- Sin[2*\[CurlyPhi]2])/(128*\[Omega]1) -
- ((-2 + p)*p*\[Sigma]^2*
- Cos[4*\[CurlyPhi]1]*(-4*k2^2*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Cos[4*\[Theta]2] -
- 16*k2*k3*l1*l2*(-1 + l2^2)*Cos[2*\[Theta]2]*
- Cos[2*\[Theta]3] -
- 16*k2*k3*l1^2*(-1 + l2^2)*Sin[2*\[Theta]2]*
- Sin[2*\[Theta]3])*Sin[2*\[CurlyPhi]2])/(512*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 + l2)*\[Omega]1) -
- 2*(-(k2*k3*(-1 + l2^2)*(-2 + p)*
- p*\[Sigma]^2*(-2*(l1 + l2)*Cos[2*(l1 - l2)*\[Theta]1]*
- Cos[2*(l1*\[Theta]1 -
- l2*\[Theta]1 - \[Theta]2 + \[Theta]3)] +
- 2*(l1 - l2)*Cos[2*(\[Theta]2 + \[Theta]3)]))/
- (256*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 +
- l2)*\[Omega]1) + (p*(-12*
- k2^2*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*(-2 +
- p)*\[Sigma]^2*Cos[4*l1*\[Theta]1]*
- Cos[4*l1*\[Theta]1 - 4*\[Theta]2] -
- 64*Cos[2*l1*\[Theta]1 -
- 2*\[Theta]2]*((4*l2^2*(-1 - l1^2 + l2^2)*\[Beta]2 +
- k2^2*(-1 + l2^2)*(-l1^2 + l2^2)*\[Sigma]^2)*
- Cos[2*l1*\[Theta]1] -
- 4*h2*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Sin[2*l1*\[Theta]1])))/
- (1024*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 +
- l2)*\[Omega]1) + (p*(-128*
- Cos[2*l1*\[Theta]1]*(2*l1^2*\[Beta]2*
- Cos[2*l1*\[Theta]1 - 2*\[Theta]2] +
- 2*h2*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Sin[2*l1*\[Theta]1 - 2*\[Theta]2]) + (1/2)*(l1 +
- l2)*(4*k2*k3*
- l1*(-1 + l2^2)*(-2 +
- p)*\[Sigma]^2*(-2*
- Cos[4*l1*\[Theta]1 - 4*l2*\[Theta]1 -
- 2*\[Theta]2] + 2*Cos[2*\[Theta]2])*
- Cos[2*\[Theta]3] -
- 2*(l1 - l2)*(-1 + l2^2)*
- Sin[2*l1*\[Theta]1]*(24*k2^2*(-2 + p)*\[Sigma]^2*
- Cos[2*l1*\[Theta]1]*
- Sin[4*l1*\[Theta]1 - 4*\[Theta]2] -
- 64*(4*\[Beta]2 + k2^2*\[Sigma]^2)*
- Sin[2*l1*\[Theta]1 - 2*\[Theta]2]) +
- 4*k3*l1*(-2 +
- p)*\[Sigma]^2*(2*k2*(-1 + l2^2)*Cos[2*\[Theta]2]*
- Sin[4*(l1 - l2)*\[Theta]1] +
- 4*k2*(-1 + l2^2)*Sin[2*(l1 - l2)*\[Theta]1]^2*
- Sin[2*\[Theta]2])*Sin[2*\[Theta]3])))/
- (1024*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 + l2)*\[Omega]1))*
- Sin[2*\[CurlyPhi]2] - (3*(-2 + p)*
- p*\[Sigma]^2*((16*k1*k2*Cos[2*\[Theta]1]*
- Cos[2*\[Theta]2])/(-1 + l1^2) + (4*k2^2*
- Cos[4*\[Theta]2])/l1 +
- (16*k1*k2*l1*Sin[2*\[Theta]1]*
- Sin[2*\[Theta]2])/(-1 + l1^2))*
- Sin[4*\[CurlyPhi]2])/(1024*\[Omega]1) - \
- (1/(256*\[Omega]1))*(-2 + p)*p*\[Sigma]^2*Cos[2*\[CurlyPhi]1]*
- ((16*k1*k2*Cos[2*\[Theta]1]*Cos[2*\[Theta]2])/(-1 +
- l1^2) + (4*k2^2*Cos[4*\[Theta]2])/
- l1 + (16*k1*k2*l1*Sin[2*\[Theta]1]*Sin[2*\[Theta]2])/(-1 +
- l1^2))*Sin[4*\[CurlyPhi]2] -
- (1/(1024*\[Omega]1))*(-2 + p)*p*\[Sigma]^2*
- Cos[4*\[CurlyPhi]1]*((16*k1*k2*Cos[2*\[Theta]1]*
- Cos[2*\[Theta]2])/(-1 + l1^2) + (4*k2^2*Cos[4*\[Theta]2])/
- l1 + (16*k1*k2*l1*Sin[2*\[Theta]1]*Sin[2*\[Theta]2])/(-1 +
- l1^2))*
- Sin[4*\[CurlyPhi]2]) +
- k3*\[Sigma]^2*Cos[\[Theta]3]^2*
- Cos[\[CurlyPhi]2]*((-k1)*Cos[\[Theta]1]*Sin[\[Theta]1] +
- k2*Cos[\[Theta]2]*Sin[\[Theta]2])*Sin[\[CurlyPhi]2]*
- ((Cos[\[CurlyPhi]2]*(l1*p*
- Cos[\[Theta]3]*((l2^2*\[Beta]2 + l1^2*\[Beta]3)*
- Cos[\[Theta]2] + l2*(h3*l1 - h2*l2)*Sin[\[Theta]2]) +
- l2*p*((-l1)*((-h2)*l1 + h3*l2)*Cos[\[Theta]2]*
- Sin[\[Theta]3] +
- (l2^2*\[Beta]2 + l1^2*\[Beta]3)*
- Sin[\[Theta]2]*Sin[\[Theta]3]))*
- Sin[2*\[CurlyPhi]1])/(2*l1*(l1 - l2)*
- l2*(l1 + l2)*\[Omega]1) - (1/(128*\[Omega]1))*p*
- Cos[2*\[CurlyPhi]1]*
- (((-16*l1*
- Pi*(16*\[Beta]1 -
- 16*\[Beta]2 - (k1 - k2)*(k1 + k2)*(2 +
- p)*\[Sigma]^2)*
- Cos[4*l2*\[Theta]1 - 4*\[Theta]3] +
- 32*l1*Pi*Cos[2*l2*Pi]^2*
- (-2*(k1 - k2)*(k1 + k2)*(2 + p)*\[Sigma]^2*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3] +
- 32*(\[Beta]1 - \[Beta]2)*Cos[2*l2*\[Theta]1]*
- Cos[2*\[Theta]3]))*
- Sec[2*l2*Pi])/(l1*(3*Sin[2*l2*Pi] + Sin[6*l2*Pi])) -
- (1024*Pi*(-\[Beta]1 + \[Beta]2)*Cos[2*l2*Pi]*
- Sin[2*l2*\[Theta]1]*Sin[2*\[Theta]3])/(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi]))*Sin[2*\[CurlyPhi]2] -
- 2*(-(k1*k3*(l2^2*(2 + 2*l2 - p) + l1^2*(1 + l2)*(-2 + p))*
- p*\[Sigma]^2*Cos[2*(-1 + l2)*\[Theta]1]*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])/(128*(l1 - l2)*(-1 +
- l2)*(1 + l2)*(l1 + l2)*\[Omega]1) +
- (p*(-2*k1*k3*
- l1*(-1 + l2)*(-l1^2 + l2^2)*(-2 + p)*\[Sigma]^2*
- Cos[2*(1 + l2)*\[Theta]1]*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3] +
- 2*k1*k3*l1*l2^3*p*\[Sigma]^2*Cos[2*(-1 + l2)*\[Theta]1]*
- Cos[2*((-l2)*\[Theta]1 + \[Theta]3)] -
- k2*k3*l1*(-1 + l2^2)*(-2 +
- p)*\[Sigma]^2*(2*(l1 + l2)*
- Cos[2*(l1 - l2)*\[Theta]1]*
- Cos[2*(l1*\[Theta]1 -
- l2*\[Theta]1 - \[Theta]2 + \[Theta]3)] +
- 2*(l1 - l2)*Cos[2*(\[Theta]2 + \[Theta]3)])))/
- (256*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 + l2)*\[Omega]1) - (p*
- Pi*(-64*\[Beta]1 +
- 64*\[Beta]2 + (k1 - k2)*(k1 + k2)*(10 +
- 3*p)*\[Sigma]^2)*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Cos[2*l2*\[Theta]1 -
- 2*\[Theta]3])/(32*\[Omega]1*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])) - (p*
- Pi*(-64*\[Beta]1 +
- 64*\[Beta]2 + (k1 - k2)*(k1 + k2)*(10 +
- 3*p)*\[Sigma]^2)*Sin[2*l2*\[Theta]1 - 2*\[Theta]3]^2)/
- (32*\[Omega]1*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])) + (p*(8*k3*l1*(-2 + p)*\[Sigma]^2*
- Cos[2*\[Theta]3]*(-2*k2*(-1 + l2^2)*Cos[2*\[Theta]2]*
- Sin[2*(l1 - l2)*\[Theta]1]^2 +
- 4*k1*(-l1 + l2)*Cos[2*\[Theta]1]*
- Sin[2*l2*\[Theta]1]^2 +
- k2*(-1 + l2^2)*Sin[4*(l1 - l2)*\[Theta]1]*
- Sin[2*\[Theta]2]) +
- 32*k1*k3*l1*(l1 - l2)*l2*(-2 + p)*\[Sigma]^2*
- Cos[2*l2*\[Theta]1]*Sin[2*\[Theta]1]*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3] -
- 8*k3*l1*(-2 +
- p)*\[Sigma]^2*(2*k1*(-l1 + l2)*Cos[2*\[Theta]1]*
- Sin[4*l2*\[Theta]1] +
- k2*(-1 +
- l2^2)*(Sin[
- 4*l1*\[Theta]1 - 4*l2*\[Theta]1 - 2*\[Theta]2] +
- Sin[2*\[Theta]2]))*
- Sin[2*\[Theta]3]))/(2048*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*\[Omega]1))*
- Sin[2*\[CurlyPhi]2] -
- ((-2 + p)*p*\[Sigma]^2*
- Cos[4*\[CurlyPhi]1]*(128*(-k1^2 + k2^2)*
- l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*Pi*Cos[2*l2*Pi]^2*
- Cos[2*l2*\[Theta]1]*Cos[2*\[Theta]3] +
- 32*(k1 - k2)*(k1 + k2)*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Pi*Cos[4*l2*\[Theta]1]*Cos[4*\[Theta]3] -
- 128*(k1 - k2)*(k1 + k2)*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Pi*Cos[2*l2*Pi]^2*
- Sin[2*l2*\[Theta]1]*
- Sin[2*\[Theta]3] + (4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])*(16*k3*
- l1*(k1*(l1 - l2)*(l1 + l2)*Cos[2*\[Theta]1] +
- k2*l1*(-1 + l2^2)*Cos[2*\[Theta]2])*
- Cos[2*\[Theta]3] -
- 16*k3*l1*
- l2*(k1*(-l1^2 + l2^2)*Sin[2*\[Theta]1] -
- k2*(-1 + l2^2)*Sin[2*\[Theta]2])*Sin[2*\[Theta]3]) -
- 32*(-k1^2 + k2^2)*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*Pi*
- Sin[4*l2*\[Theta]1]*Sin[4*\[Theta]3])*
- Sin[2*\[CurlyPhi]2])/(512*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 +
- l2)*\[Omega]1*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi])) -
- (3*(k1^2 + k2^2)*(-2 + p)*p*\[Sigma]^2*
- Sec[2*l2*
- Pi]*(-8*
- Pi*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3] -
- 8*Pi*Sin[2*l2*\[Theta]1 - 2*\[Theta]3]^2)*
- Sin[4*\[CurlyPhi]2])/
- (512*\[Omega]1*(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])) - ((k1^2 + k2^2)*(-2 + p)*p*\[Sigma]^2*
- Cos[2*\[CurlyPhi]1]*Sec[2*l2*Pi]*
- (-8*
- Pi*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3] -
- 8*Pi*Sin[2*l2*\[Theta]1 - 2*\[Theta]3]^2)*
- Sin[4*\[CurlyPhi]2])/(128*\[Omega]1*(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])) -
- ((k1^2 + k2^2)*(-2 + p)*p*\[Sigma]^2*Cos[4*\[CurlyPhi]1]*
- Sec[2*l2*
- Pi]*(-8*
- Pi*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3] -
- 8*Pi*Sin[2*l2*\[Theta]1 - 2*\[Theta]3]^2)*
- Sin[
- 4*\[CurlyPhi]2])/(512*\[Omega]1*(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi]))) +
- k1*\[Sigma]^2*Cos[\[Theta]1]^2*
- Cos[\[CurlyPhi]2]*((-k1)*Cos[\[Theta]1]*Sin[\[Theta]1] +
- k2*Cos[\[Theta]2]*Sin[\[Theta]2])*Sin[\[CurlyPhi]2]*
- ((1/(2*l1*(-1 + l1^2)*\[Omega]1))*
- Cos[2*\[CurlyPhi]2]*(l1*
- p*((l1^2*\[Beta]1 + \[Beta]2)*Cos[\[Theta]1]*
- Cos[\[Theta]2] - (h1 - h2*l1)*Cos[\[Theta]2]*
- Sin[\[Theta]1]) -
- p*(l1*(h2 - h1*l1)*
- Cos[\[Theta]1] - (l1^2*\[Beta]1 + \[Beta]2)*
- Sin[\[Theta]1])*
- Sin[\[Theta]2]) + (1/(2*l1*(-1 + l1^2)*\[Omega]1))*
- Cos[2*\[CurlyPhi]1]*Cos[2*\[CurlyPhi]2]*
- (l1*
- p*((l1^2*\[Beta]1 + \[Beta]2)*Cos[\[Theta]1]*
- Cos[\[Theta]2] - (h1 - h2*l1)*Cos[\[Theta]2]*
- Sin[\[Theta]1]) -
- p*(l1*(h2 - h1*l1)*
- Cos[\[Theta]1] - (l1^2*\[Beta]1 + \[Beta]2)*
- Sin[\[Theta]1])*Sin[\[Theta]2]) -
- (1/(128*\[Omega]1))*p*
- Cos[2*\[CurlyPhi]1]*((-64*l1*(-\[Beta]1 + \[Beta]2) -
- 4*(k1 - k2)*(k1 + k2)*l1*(2 + p)*\[Sigma]^2)/l1 -
- 16*(4*\[Beta]1 + k1^2*\[Sigma]^2)*Cos[2*\[Theta]1] +
- (1024*l2*Pi*(-\[Beta]1 + \[Beta]2)*Cos[2*l2*Pi]*
- Cos[2*l2*\[Theta]1]*Cos[2*\[Theta]3])/(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi]) - 64*h1*Sin[2*\[Theta]1] +
- (Sec[
- 2*l2*Pi]*(16*l1*l2*
- Pi*(16*\[Beta]1 -
- 16*\[Beta]2 - (k1 - k2)*(k1 + k2)*(2 +
- p)*\[Sigma]^2)*
- Cos[4*l2*\[Theta]1 - 4*\[Theta]3] +
- 4*k1^2*l1*(-2 + p)*\[Sigma]^2*Cos[2*l2*Pi]*
- Cos[4*\[Theta]1]*
- (3*Sin[2*l2*Pi] + Sin[6*l2*Pi]) +
- 32*l1*Pi*
- Cos[2*l2*Pi]^2*(2*(k1 - k2)*(k1 + k2)*
- l2*(2 + p)*\[Sigma]^2*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3] -
- 32*l2*(\[Beta]1 - \[Beta]2)*Sin[2*l2*\[Theta]1]*
- Sin[2*\[Theta]3])))/
- (l1*(3*Sin[2*l2*Pi] + Sin[6*l2*Pi])))*
- Sin[2*\[CurlyPhi]2] - ((-2 + p)*p*\[Sigma]^2*
- Cos[4*\[CurlyPhi]1]*(128*(k1 - k2)*(k1 + k2)*l1*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*Pi*Cos[2*l2*Pi]^2*
- Cos[2*l2*\[Theta]1]*
- Cos[2*\[Theta]3] +
- 32*(-k1^2 + k2^2)*l1*(l1 - l2)*l2*(l1 + l2)*(-1 + l2^2)*Pi*
- Cos[4*l2*\[Theta]1]*Cos[4*\[Theta]3] -
- 128*(-k1^2 + k2^2)*l1*(l1 - l2)*l2*(l1 + l2)*(-1 + l2^2)*
- Pi*Cos[2*l2*Pi]^2*
- Sin[2*l2*\[Theta]1]*
- Sin[2*\[Theta]3] + (4*Sin[4*l2*Pi] +
- Sin[8*l2*
- Pi])*((l1 - l2)*(l1 + l2)*(-1 +
- l2^2)*(4*(-k1^2 + k2^2)*l1 +
- 4*k1^2*l1*Cos[4*\[Theta]1]) +
- 16*k1*k3*l1*l2*(-l1^2 + l2^2)*Cos[2*\[Theta]1]*
- Cos[2*\[Theta]3] -
- 16*k1*k3*l1*(l1 - l2)*(l1 + l2)*Sin[2*\[Theta]1]*
- Sin[2*\[Theta]3]) -
- 32*(k1 - k2)*(k1 + k2)*l1*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*
- Pi*Sin[4*l2*\[Theta]1]*Sin[4*\[Theta]3])*
- Sin[2*\[CurlyPhi]2])/(512*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 +
- l2)*\[Omega]1*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi])) -
- 2*((l2*p*
- Pi*(-64*\[Beta]1 +
- 64*\[Beta]2 + (k1 - k2)*(k1 + k2)*(10 +
- 3*p)*\[Sigma]^2)*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])/
- (32*\[Omega]1*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])) + (l2*p*
- Pi*(-64*\[Beta]1 +
- 64*\[Beta]2 + (k1 - k2)*(k1 + k2)*(10 +
- 3*p)*\[Sigma]^2)*Sin[2*l2*\[Theta]1 - 2*\[Theta]3]^2)/
- (32*\[Omega]1*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])) + (p*(12*k2^2*
- l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*(-2 + p)*\[Sigma]^2*
- Cos[4*l1*\[Theta]1]*Cos[4*l1*\[Theta]1 - 4*\[Theta]2] +
- 8*k1*k3*l1*
- l2*(l2^2*(2 + 2*l2 - p) +
- l1^2*(1 + l2)*(-2 + p))*\[Sigma]^2*
- Cos[2*(-1 + l2)*\[Theta]1]*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3] +
- 64*l1*Cos[2*l1*\[Theta]1 - 2*\[Theta]2]*
- ((4*l2^2*(-1 - l1^2 + l2^2)*\[Beta]2 +
- k2^2*(-1 + l2^2)*(-l1^2 + l2^2)*\[Sigma]^2)*
- Cos[2*l1*\[Theta]1] -
- 4*h2*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Sin[2*l1*\[Theta]1]) -
- 12*k2^2*
- l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*(-2 + p)*\[Sigma]^2*
- Sin[4*l1*\[Theta]1]*
- Sin[4*l1*\[Theta]1 - 4*\[Theta]2] +
- 32*(-8*h2*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Cos[2*l1*\[Theta]1] -
- 2*l1*(4*l2^2*(-1 - l1^2 + l2^2)*\[Beta]2 +
- k2^2*(-1 + l2^2)*(-l1^2 + l2^2)*\[Sigma]^2)*
- Sin[2*l1*\[Theta]1])*
- Sin[2*l1*\[Theta]1 - 2*\[Theta]2] -
- 8*k1*k3*
- l1*(-1 + l2)*(l2^2*(2 + 2*l2 - p) +
- l1^2*(1 + l2)*(-2 + p))*\[Sigma]^2*
- Sin[2*(-1 + l2)*\[Theta]1]*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3]))/(1024*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 + l2)*
- \[Omega]1) + (p*(-256*h1*
- l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*Sin[2*\[Theta]1] -
- 128*Cos[
- 2*l1*\[Theta]1]*(-2*l1^3*\[Beta]2*
- Cos[2*l1*\[Theta]1 - 2*\[Theta]2] -
- 2*h2*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Sin[2*l1*\[Theta]1 - 2*\[Theta]2]) +
- 256*l1*Sin[
- 2*l1*\[Theta]1]*(h2*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Cos[2*l1*\[Theta]1 - 2*\[Theta]2] -
- l1^2*\[Beta]2*Sin[2*l1*\[Theta]1 - 2*\[Theta]2]) +
- (1/2)*(l1 +
- l2)*(8*l1*(l1 - l2)*(-1 + l2)*(1 +
- l2)*(64*\[Beta]1 -
- 64*\[Beta]2 - (k1 - k2)*(k1 + k2)*(10 +
- 3*p)*\[Sigma]^2) -
- 4*l1*(l1 - l2)*(-1 + l2^2)*Cos[2*l1*\[Theta]1]*
- (6*k2^2*(-2 + p)*\[Sigma]^2*
- Cos[2*l1*\[Theta]1]*
- Cos[4*l1*\[Theta]1 - 4*\[Theta]2] -
- 32*(4*\[Beta]2 + k2^2*\[Sigma]^2)*
- Cos[2*l1*\[Theta]1 - 2*\[Theta]2]) +
- 8*l1*(l1 - l2)*Cos[2*\[Theta]1]*
- (-16*(-1 + l2^2)*(4*\[Beta]1 +
- k1^2*\[Sigma]^2) +
- k1*(-2 +
- p)*\[Sigma]^2*(3*k1*(-1 + l2^2)*
- Cos[2*\[Theta]1] +
- 4*k3*l2*Cos[2*l2*\[Theta]1]*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])) +
- 4*k3*l1*(-2 + p)*\[Sigma]^2*
- Cos[2*\[Theta]3]*(8*k1*l2*(-l1 + l2)*
- Cos[2*\[Theta]1]*Cos[4*l2*\[Theta]1] +
- k2*(4*l1 - 4*l2)*(-1 + l2^2)*
- Cos[4*l1*\[Theta]1 - 4*l2*\[Theta]1 -
- 2*\[Theta]2] - 4*k1*(-l1 + l2)*
- Sin[2*\[Theta]1]*
- Sin[4*l2*\[Theta]1]) -
- 2*(l1 - l2)*(-1 + l2^2)*
- Sin[2*l1*\[Theta]1]*(-12*k2^2*
- l1*(-2 + p)*\[Sigma]^2*
- Cos[4*l1*\[Theta]1 - 4*\[Theta]2]*
- Sin[2*l1*\[Theta]1] -
- 24*k2^2*l1*(-2 + p)*\[Sigma]^2*
- Cos[2*l1*\[Theta]1]*
- Sin[4*l1*\[Theta]1 - 4*\[Theta]2] +
- 64*l1*(4*\[Beta]2 + k2^2*\[Sigma]^2)*
- Sin[2*l1*\[Theta]1 - 2*\[Theta]2]) +
- 4*k1*l1*(l1 - l2)*(-2 + p)*\[Sigma]^2*
- Sin[2*\[Theta]1]*
- (-6*k1*(-1 + l2^2)*Sin[2*\[Theta]1] -
- 8*k3*l2^2*Cos[2*l2*\[Theta]1 - 2*\[Theta]3]*
- Sin[2*l2*\[Theta]1] -
- 8*k3*l2^2*Cos[2*l2*\[Theta]1]*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3]) +
- 4*k3*l1*(-2 +
- p)*\[Sigma]^2*(-8*k2*(l1 - l2)*(-1 + l2^2)*
- Cos[2*(l1 - l2)*\[Theta]1]*Cos[2*\[Theta]2]*
- Sin[2*(l1 - l2)*\[Theta]1] +
- 16*k1*l2*(-l1 + l2)*Cos[2*\[Theta]1]*
- Cos[2*l2*\[Theta]1]*Sin[2*l2*\[Theta]1] -
- 8*k1*(-l1 + l2)*Sin[2*\[Theta]1]*
- Sin[2*l2*\[Theta]1]^2 +
- 4*k2*(l1 - l2)*(-1 + l2^2)*
- Cos[4*(l1 - l2)*\[Theta]1]*Sin[2*\[Theta]2])*
- Sin[2*\[Theta]3])))/
- (1024*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 +
- l2)*\[Omega]1) + (p*(2*k1*k3*l1*(-1 + l2)*
- l2*(-l1^2 + l2^2)*(-2 + p)*\[Sigma]^2*
- Cos[2*(1 + l2)*\[Theta]1]*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3] -
- 2*k1*k3*l1*l2^4*p*\[Sigma]^2*Cos[2*(-1 + l2)*\[Theta]1]*
- Cos[2*((-l2)*\[Theta]1 + \[Theta]3)] -
- 2*k1*k3*
- l1*(-1 + l2)*(1 + l2)*(-l1^2 + l2^2)*(-2 +
- p)*\[Sigma]^2*Sin[2*(1 + l2)*\[Theta]1]*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3] -
- 2*k1*k3*l1*(-1 + l2)*l2^3*p*\[Sigma]^2*
- Sin[2*(-1 + l2)*\[Theta]1]*
- Sin[2*((-l2)*\[Theta]1 + \[Theta]3)] -
- k2*k3*l1*(-1 + l2^2)*(-2 + p)*\[Sigma]^2*
- (2*(l1 - l2)*(l1 + l2)*
- Cos[2*(l1 - l2)*\[Theta]1]*
- Cos[2*(l1*\[Theta]1 -
- l2*\[Theta]1 - \[Theta]2 + \[Theta]3)] -
- 2*(l1 - l2)*(l1 + l2)*Sin[2*(l1 - l2)*\[Theta]1]*
- Sin[2*(l1*\[Theta]1 -
- l2*\[Theta]1 - \[Theta]2 + \[Theta]3)])))/(256*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 + l2)*\[Omega]1))*
- Sin[2*\[CurlyPhi]2] -
- (1/(1024*\[Omega]1))*3*(-2 + p)*
- p*\[Sigma]^2*(4*k1^2*
- Cos[4*\[Theta]1] - (16*k1*k2*l1*Cos[2*\[Theta]1]*
- Cos[2*\[Theta]2])/(-1 + l1^2) - (16*k1*k2*
- Sin[2*\[Theta]1]*Sin[2*\[Theta]2])/(-1 + l1^2) +
- (2*(k1^2 + k2^2)*
- Sec[2*l2*
- Pi]*(8*l2*
- Pi*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3] - 4*Sin[4*l2*Pi] -
- Sin[8*l2*Pi] +
- 8*l2*Pi*Sin[2*l2*\[Theta]1 - 2*\[Theta]3]^2))/(3*
- Sin[2*l2*Pi] + Sin[6*l2*Pi]))*
- Sin[4*\[CurlyPhi]2] - (1/(256*\[Omega]1))*(-2 + p)*
- p*\[Sigma]^2*Cos[2*\[CurlyPhi]1]*
- (4*k1^2*
- Cos[4*\[Theta]1] - (16*k1*k2*l1*Cos[2*\[Theta]1]*
- Cos[2*\[Theta]2])/(-1 + l1^2) - (16*k1*k2*
- Sin[2*\[Theta]1]*Sin[2*\[Theta]2])/(-1 + l1^2) +
- (2*(k1^2 + k2^2)*
- Sec[2*l2*
- Pi]*(8*l2*
- Pi*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3] - 4*Sin[4*l2*Pi] -
- Sin[8*l2*Pi] +
- 8*l2*Pi*Sin[2*l2*\[Theta]1 - 2*\[Theta]3]^2))/(3*
- Sin[2*l2*Pi] + Sin[6*l2*Pi]))*
- Sin[4*\[CurlyPhi]2] - (1/(1024*\[Omega]1))*(-2 + p)*
- p*\[Sigma]^2*Cos[4*\[CurlyPhi]1]*
- (4*k1^2*
- Cos[4*\[Theta]1] - (16*k1*k2*l1*Cos[2*\[Theta]1]*
- Cos[2*\[Theta]2])/(-1 + l1^2) - (16*k1*k2*
- Sin[2*\[Theta]1]*Sin[2*\[Theta]2])/(-1 + l1^2) +
- (2*(k1^2 + k2^2)*
- Sec[2*l2*
- Pi]*(8*l2*
- Pi*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3] - 4*Sin[4*l2*Pi] -
- Sin[8*l2*Pi] +
- 8*l2*Pi*Sin[2*l2*\[Theta]1 - 2*\[Theta]3]^2))/(3*
- Sin[2*l2*Pi] + Sin[6*l2*Pi]))*Sin[4*\[CurlyPhi]2]) + (1/
- 2)*\[Sigma]^2*Cos[\[CurlyPhi]1]*
- Cos[\[CurlyPhi]2]*(k1*Cos[\[Theta]1]*Sin[\[Theta]1] -
- k2*Cos[\[Theta]2]*Sin[\[Theta]2])*Sin[\[CurlyPhi]1]*
- Sin[\[CurlyPhi]2]*(k1*Cos[\[CurlyPhi]2]^2*Sin[2*\[Theta]1] -
- k3*Sin[2*\[Theta]3] + k2*Sin[2*\[Theta]2]*Sin[\[CurlyPhi]2]^2)*
- ((Cos[2*\[CurlyPhi]1]*
- Cos[\[CurlyPhi]2]*(l2*
- p*(l1*((-h2)*l1 + h3*l2)*(-1 +
- Cos[\[Theta]2]*Cos[\[Theta]3]) - (l2^2*\[Beta]2 +
- l1^2*\[Beta]3)*Cos[\[Theta]3]*Sin[\[Theta]2]) +
- l1*p*((l2^2*\[Beta]2 + l1^2*\[Beta]3)*Cos[\[Theta]2] +
- l2*(h3*l1 - h2*l2)*Sin[\[Theta]2])*
- Sin[\[Theta]3]))/(l1*(l1 - l2)*l2*(l1 + l2)*\[Omega]1) -
- (1/(l1*(-1 + l1^2)*\[Omega]1))*
- Cos[2*\[CurlyPhi]2]*(l1*
- p*((h1 - h2*l1)*(-1 +
- Cos[\[Theta]1]*
- Cos[\[Theta]2]) + (l1^2*\[Beta]1 + \[Beta]2)*
- Cos[\[Theta]2]*Sin[\[Theta]1]) -
- p*((l1^2*\[Beta]1 + \[Beta]2)*Cos[\[Theta]1] +
- l1*(h2 - h1*l1)*Sin[\[Theta]1])*Sin[\[Theta]2])*
- Sin[2*\[CurlyPhi]1] +
- (1/(64*\[Omega]1))*
- p*((32*h2 - 32*l1*(h1 + 2*(-\[Beta]1 + \[Beta]2)*\[Theta]1) -
- 4*(k1 - k2)*(k1 + k2)*l1*(2 + p)*\[Theta]1*\[Sigma]^2)/
- l1 + 32*h1*Cos[2*\[Theta]1] - (32*h2*Cos[2*\[Theta]2])/l1 -
- 8*(4*\[Beta]1 + k1^2*\[Sigma]^2)*
- Sin[2*\[Theta]1] + (512*Pi*(-\[Beta]1 + \[Beta]2)*
- Cos[2*l2*Pi]*Cos[2*\[Theta]3]*
- Sin[2*l2*\[Theta]1])/(3*Sin[2*l2*Pi] + Sin[6*l2*Pi]) +
- (Sec[
- 2*l2*Pi]*(Cos[
- 2*l2*Pi]*(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])*(32*\[Beta]2*
- Sin[2*\[Theta]2] + \[Sigma]^2*(k1^2*l1*(-2 + p)*
- Sin[4*\[Theta]1] +
- k2^2*(8*Sin[2*\[Theta]2] - (-2 + p)*
- Sin[4*\[Theta]2]))) +
- 4*l1*Pi*(16*\[Beta]1 -
- 16*\[Beta]2 - (k1 - k2)*(k1 + k2)*(2 +
- p)*\[Sigma]^2)*
- Sin[4*l2*\[Theta]1 - 4*\[Theta]3] +
- 32*l1*Pi*
- Cos[2*l2*Pi]^2*((k1 - k2)*(k1 + k2)*(2 + p)*\[Sigma]^2*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3] +
- 16*(\[Beta]1 - \[Beta]2)*Cos[2*l2*\[Theta]1]*
- Sin[2*\[Theta]3])))/(l1*(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])))*Sin[2*\[CurlyPhi]1]*
- Sin[2*\[CurlyPhi]2] +
- ((-2 + p)*
- p*\[Sigma]^2*(64*(k1 - k2)*(k1 + k2)*
- l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*Pi*Cos[2*l2*Pi]^2*
- Cos[2*\[Theta]3]*Sin[2*l2*\[Theta]1] +
- 8*(-k1^2 + k2^2)*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*Pi*
- Cos[4*\[Theta]3]*Sin[4*l2*\[Theta]1] +
- 64*(-k1^2 + k2^2)*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*Pi*
- Cos[2*l2*Pi]^2*Cos[2*l2*\[Theta]1]*Sin[2*\[Theta]3] +
- (4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])*(8*k3*l1*l2*
- Cos[2*\[Theta]3]*(k1*(-l1^2 + l2^2)*Sin[2*\[Theta]1] -
- k2*(-1 + l2^2)*Sin[2*\[Theta]2]) + (l1 - l2)*(l1 +
- l2)*(-1 + l2^2)*
- (4*(-k1^2 + k2^2)*l1*\[Theta]1 +
- k1^2*l1*Sin[4*\[Theta]1] - k2^2*Sin[4*\[Theta]2]) +
- 8*k3*l1*(k1*(l1 - l2)*(l1 + l2)*Cos[2*\[Theta]1] +
- k2*l1*(-1 + l2^2)*Cos[2*\[Theta]2])*
- Sin[2*\[Theta]3]) +
- 8*(k1 - k2)*(k1 + k2)*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Pi*Cos[4*l2*\[Theta]1]*Sin[4*\[Theta]3])*
- Sin[4*\[CurlyPhi]1]*Sin[2*\[CurlyPhi]2])/(128*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 + l2)*\[Omega]1*
- (4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])) + (1/(128*\[Omega]1))*(-2 + p)*
- p*\[Sigma]^2*(-((8*k1*k2*l1*Cos[2*\[Theta]2]*
- Sin[2*\[Theta]1])/(-1 + l1^2)) + k1^2*Sin[4*\[Theta]1] +
- (8*k1*k2*Cos[2*\[Theta]1]*Sin[2*\[Theta]2])/(-1 +
- l1^2) + (k2^2*Sin[4*\[Theta]2])/
- l1 + (2*(k1^2 + k2^2)*
- Sec[2*l2*
- Pi]*((-\[Theta]1)*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi]) +
- 4*Pi*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3]))/(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi]))*Sin[2*\[CurlyPhi]1]*Sin[4*\[CurlyPhi]2] +
- (1/(256*\[Omega]1))*(-2 + p)*
- p*\[Sigma]^2*(-((8*k1*k2*l1*Cos[2*\[Theta]2]*
- Sin[2*\[Theta]1])/(-1 + l1^2)) +
- k1^2*Sin[
- 4*\[Theta]1] + (8*k1*k2*Cos[2*\[Theta]1]*
- Sin[2*\[Theta]2])/(-1 + l1^2) + (k2^2*Sin[4*\[Theta]2])/
- l1 +
- (2*(k1^2 + k2^2)*
- Sec[2*l2*
- Pi]*((-\[Theta]1)*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi]) +
- 4*Pi*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3]))/
- (3*Sin[2*l2*Pi] + Sin[6*l2*Pi]))*
- Sin[4*\[CurlyPhi]1]*Sin[4*\[CurlyPhi]2]) +
- (1/\[Omega]2)*
- Cos[\[Theta]2]*((p*Cos[2*\[CurlyPhi]1]*
- Cos[2*\[CurlyPhi]2]*((64*\[Beta]2*Cos[2*\[Theta]2] +
- k2^2*\[Sigma]^2*(16*Cos[2*\[Theta]2] -
- 4*(-2 + p)*Cos[4*\[Theta]2]))/
- l1 + (64*h2*Sin[2*\[Theta]2])/l1))/(256*\[Omega]1) +
- (3*(-2 + p)*p*\[Sigma]^2*
- Cos[4*\[CurlyPhi]2]*((16*k1*k2*Cos[2*\[Theta]1]*
- Cos[2*\[Theta]2])/(-1 + l1^2) + (4*k2^2*
- Cos[4*\[Theta]2])/
- l1 + (16*k1*k2*l1*Sin[2*\[Theta]1]*
- Sin[2*\[Theta]2])/(-1 + l1^2)))/(4096*\[Omega]1) +
- (1/(1024*\[Omega]1))*(-2 + p)*p*\[Sigma]^2*
- Cos[2*\[CurlyPhi]1]*
- Cos[4*\[CurlyPhi]2]*((16*k1*k2*Cos[2*\[Theta]1]*
- Cos[2*\[Theta]2])/(-1 + l1^2) + (4*k2^2*Cos[4*\[Theta]2])/
- l1 +
- (16*k1*k2*l1*Sin[2*\[Theta]1]*
- Sin[2*\[Theta]2])/(-1 +
- l1^2)) + (1/(4096*\[Omega]1))*(-2 + p)*p*\[Sigma]^2*
- Cos[4*\[CurlyPhi]1]*
- Cos[4*\[CurlyPhi]2]*((16*k1*k2*Cos[2*\[Theta]1]*
- Cos[2*\[Theta]2])/(-1 + l1^2) +
- (4*k2^2*Cos[4*\[Theta]2])/
- l1 + (16*k1*k2*l1*Sin[2*\[Theta]1]*Sin[2*\[Theta]2])/(-1 +
- l1^2)) +
- (p*
- Cos[2*\[CurlyPhi]1]*(-16*k1*k2*l1*l2*(-2 + p)*\[Sigma]^2*
- Cos[2*\[Theta]1]*Cos[2*\[Theta]2] -
- 16*k1*k2*l1^2*l2*(-2 + p)*\[Sigma]^2*Sin[2*\[Theta]1]*
- Sin[2*\[Theta]2] +
- (-1 +
- l1^2)*(-64*l2*(4*\[Beta]2 + k2^2*\[Sigma]^2)*
- Cos[2*\[Theta]2] +
- 12*k2^2*l2*(-2 + p)*\[Sigma]^2*Cos[4*\[Theta]2] -
- 256*h2*l2*Sin[2*\[Theta]2])))/(1024*l1*(-1 + l1^2)*
- l2*\[Omega]1) +
- ((-2 + p)*p*\[Sigma]^2*Cos[4*\[CurlyPhi]1]*
- Cos[2*\[CurlyPhi]2]*(-4*k2^2*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Cos[4*\[Theta]2] -
- 16*k2*k3*l1*l2*(-1 + l2^2)*Cos[2*\[Theta]2]*
- Cos[2*\[Theta]3] -
- 16*k2*k3*l1^2*(-1 + l2^2)*Sin[2*\[Theta]2]*
- Sin[2*\[Theta]3]))/(1024*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 + l2)*\[Omega]1) +
- ((-2 + p)*p*\[Sigma]^2*
- Cos[4*\[CurlyPhi]1]*(12*k2^2*(-1 + l1^2)*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*
- Cos[4*\[Theta]2]*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi]) +
- 16*k2*l1*l2*(-1 + l2^2)*
- Cos[2*\[Theta]2]*(k1*(-l1^2 + l2^2)*Cos[2*\[Theta]1] +
- 4*k3*(-1 + l1^2)*l2*Cos[2*\[Theta]3])*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi]) -
- 16*k2*l1^2*l2*(-1 + l2^2)*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi])*
- Sin[2*\[Theta]2]*(k1*(l1 - l2)*(l1 + l2)*
- Sin[2*\[Theta]1] - 4*k3*(-1 + l1^2)*Sin[2*\[Theta]3])))/
- (4096*l1*(-1 + l1^2)*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*\[Omega]1*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])) +
- (p*(-48*k1*k2*l1*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*(-2 + p)*\[Sigma]^2*
- Cos[2*\[Theta]1]*Cos[2*\[Theta]2] +
- (-1 +
- l1^2)*((-(l1 - l2))*
- l2*(l1 + l2)*(-1 +
- l2^2)*(1024*\[Beta]2*Cos[2*\[Theta]2] +
- k2^2*\[Sigma]^2*(256*Cos[2*\[Theta]2] -
- 36*(-2 + p)*Cos[4*\[Theta]2])) -
- 64*k2*k3*l1*l2^2*(-1 + l2^2)*(-2 + p)*\[Sigma]^2*
- Cos[2*\[Theta]2]*Cos[2*\[Theta]3]) -
- 16*l2*(-1 + l2^2)*
- Sin[2*\[Theta]2]*(64*h2*(-1 + l1^2)*(l1 - l2)*(l1 + l2) +
- k2*l1^2*(-2 +
- p)*\[Sigma]^2*(3*k1*(l1 - l2)*(l1 + l2)*
- Sin[2*\[Theta]1] +
- 4*k3*(-1 + l1^2)*Sin[2*\[Theta]3]))))/(4096*
- l1*(-1 + l1^2)*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*\[Omega]1) +
- Cos[2*\[CurlyPhi]2]*(-(k2*k3*(-1 + l2^2)*(-2 + p)*
- p*\[Sigma]^2*(-2*(l1 + l2)*Cos[2*(l1 - l2)*\[Theta]1]*
- Cos[2*(l1*\[Theta]1 -
- l2*\[Theta]1 - \[Theta]2 + \[Theta]3)] +
- 2*(l1 - l2)*Cos[2*(\[Theta]2 + \[Theta]3)]))/
- (256*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 +
- l2)*\[Omega]1) + (p*(-12*
- k2^2*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*(-2 +
- p)*\[Sigma]^2*Cos[4*l1*\[Theta]1]*
- Cos[4*l1*\[Theta]1 - 4*\[Theta]2] -
- 64*Cos[2*l1*\[Theta]1 -
- 2*\[Theta]2]*((4*l2^2*(-1 - l1^2 + l2^2)*\[Beta]2 +
- k2^2*(-1 + l2^2)*(-l1^2 + l2^2)*\[Sigma]^2)*
- Cos[2*l1*\[Theta]1] -
- 4*h2*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Sin[2*l1*\[Theta]1])))/
- (1024*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 +
- l2)*\[Omega]1) + (p*(-128*
- Cos[2*l1*\[Theta]1]*(2*l1^2*\[Beta]2*
- Cos[2*l1*\[Theta]1 - 2*\[Theta]2] +
- 2*h2*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Sin[2*l1*\[Theta]1 - 2*\[Theta]2]) + (1/2)*(l1 +
- l2)*(4*k2*k3*
- l1*(-1 + l2^2)*(-2 +
- p)*\[Sigma]^2*(-2*
- Cos[4*l1*\[Theta]1 - 4*l2*\[Theta]1 -
- 2*\[Theta]2] + 2*Cos[2*\[Theta]2])*
- Cos[2*\[Theta]3] -
- 2*(l1 - l2)*(-1 + l2^2)*
- Sin[2*l1*\[Theta]1]*(24*k2^2*(-2 + p)*\[Sigma]^2*
- Cos[2*l1*\[Theta]1]*
- Sin[4*l1*\[Theta]1 - 4*\[Theta]2] -
- 64*(4*\[Beta]2 + k2^2*\[Sigma]^2)*
- Sin[2*l1*\[Theta]1 - 2*\[Theta]2]) +
- 4*k3*l1*(-2 +
- p)*\[Sigma]^2*(2*k2*(-1 + l2^2)*Cos[2*\[Theta]2]*
- Sin[4*(l1 - l2)*\[Theta]1] +
- 4*k2*(-1 + l2^2)*Sin[2*(l1 - l2)*\[Theta]1]^2*
- Sin[2*\[Theta]2])*Sin[2*\[Theta]3])))/
- (1024*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 +
- l2)*\[Omega]1)) + ((l2*
- p*((-(l2^2*\[Beta]2 + l1^2*\[Beta]3))*Cos[\[Theta]2]*
- Cos[\[Theta]3] -
- l1*((-h2)*l1 + h3*l2)*Cos[\[Theta]3]*Sin[\[Theta]2]) +
- l1*p*(l2*(h3*l1 - h2*l2)*
- Cos[\[Theta]2] - (l2^2*\[Beta]2 + l1^2*\[Beta]3)*
- Sin[\[Theta]2])*Sin[\[Theta]3])*Sin[2*\[CurlyPhi]1]*
- Sin[\[CurlyPhi]2])/(2*l1*(l1 - l2)*l2*(l1 + l2)*\[Omega]1) +
- (1/(4*l1*(-1 + l1^2)*\[Omega]1))*((-p)*
- Cos[\[Theta]2]*((l1^2*\[Beta]1 + \[Beta]2)*Cos[\[Theta]1] +
- l1*(h2 - h1*l1)*Sin[\[Theta]1]) +
- l1*p*((-(h1 - h2*l1))*Cos[\[Theta]1]*
- Sin[\[Theta]2] - (l1^2*\[Beta]1 + \[Beta]2)*
- Sin[\[Theta]1]*Sin[\[Theta]2]))*
- Sin[2*\[CurlyPhi]2] + (1/(4*l1*(-1 + l1^2)*\[Omega]1))*
- Cos[2*\[CurlyPhi]1]*
- ((-p)*
- Cos[\[Theta]2]*((l1^2*\[Beta]1 + \[Beta]2)*Cos[\[Theta]1] +
- l1*(h2 - h1*l1)*Sin[\[Theta]1]) +
- l1*p*((-(h1 - h2*l1))*Cos[\[Theta]1]*
- Sin[\[Theta]2] - (l1^2*\[Beta]1 + \[Beta]2)*
- Sin[\[Theta]1]*Sin[\[Theta]2]))*Sin[2*\[CurlyPhi]2])*
- ((-h2)*\[Omega]2*Cos[\[Theta]1]*
- Cot[\[CurlyPhi]2] + \[Beta]2*\[Omega]1*Cot[\[CurlyPhi]2]*
- Sin[\[Theta]1] - 2*\[Beta]2*\[Omega]2*Sin[\[Theta]2] +
- \[Omega]2*
- Cos[\[Theta]2]*(2*h2 +
- k2*p*\[Sigma]^2*(k1*Cos[\[Theta]1]*Cos[\[CurlyPhi]1]^2*
- Cos[\[CurlyPhi]2]^2*Sin[\[Theta]1] +
- k3*Cos[\[Theta]3]*Sin[\[Theta]3]*Sin[\[CurlyPhi]1]^2)) +
- k2^2*\[Sigma]^2*\[Omega]2*Cos[\[Theta]2]^2*
- Sin[\[Theta]2]*(-1 +
- p*Cos[\[CurlyPhi]1]^2*Sin[\[CurlyPhi]2]^2) -
- h2*\[Omega]2*Cos[\[Theta]3]*Csc[\[CurlyPhi]2]*
- Tan[\[CurlyPhi]1] + \[Beta]2*\[Omega]3*Csc[\[CurlyPhi]2]*
- Sin[\[Theta]3]*Tan[\[CurlyPhi]1]) +
- (1/
- 8)*((-(1/(512*\[Omega]1)))*(-2 + p)*p*\[Sigma]^2*
- Cos[4*\[CurlyPhi]2]*(-((8*k1*k2*l1*Cos[2*\[Theta]2]*
- Sin[2*\[Theta]1])/(-1 + l1^2)) +
- k1^2*Sin[
- 4*\[Theta]1] + (8*k1*k2*Cos[2*\[Theta]1]*
- Sin[2*\[Theta]2])/(-1 + l1^2) +
- (k2^2*Sin[4*\[Theta]2])/
- l1 + (2*(k1^2 + k2^2)*
- Sec[2*l2*
- Pi]*((-\[Theta]1)*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi]) +
- 4*Pi*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3]))/
- (3*Sin[2*l2*Pi] + Sin[6*l2*Pi]))*
- Sin[2*\[CurlyPhi]1] - (1/(128*\[Omega]1))*p*
- Cos[2*\[CurlyPhi]2]*((32*h2 -
- 32*l1*(h1 + 2*(-\[Beta]1 + \[Beta]2)*\[Theta]1) -
- 4*(k1 - k2)*(k1 + k2)*l1*(2 + p)*\[Theta]1*\[Sigma]^2)/
- l1 +
- 32*h1*Cos[2*\[Theta]1] - (32*h2*Cos[2*\[Theta]2])/l1 -
- 8*(4*\[Beta]1 + k1^2*\[Sigma]^2)*
- Sin[2*\[Theta]1] + (512*Pi*(-\[Beta]1 + \[Beta]2)*
- Cos[2*l2*Pi]*Cos[2*\[Theta]3]*Sin[2*l2*\[Theta]1])/
- (3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi]) + (Sec[
- 2*l2*Pi]*(Cos[
- 2*l2*Pi]*(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])*(32*\[Beta]2*
- Sin[2*\[Theta]2] + \[Sigma]^2*(k1^2*l1*(-2 + p)*
- Sin[4*\[Theta]1] + k2^2*
- (8*Sin[2*\[Theta]2] - (-2 + p)*
- Sin[4*\[Theta]2]))) +
- 4*l1*Pi*(16*\[Beta]1 -
- 16*\[Beta]2 - (k1 - k2)*(k1 + k2)*(2 +
- p)*\[Sigma]^2)*Sin[4*l2*\[Theta]1 - 4*\[Theta]3] +
- 32*l1*Pi*
- Cos[2*l2*Pi]^2*((k1 - k2)*(k1 + k2)*(2 + p)*\[Sigma]^2*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3] +
- 16*(\[Beta]1 - \[Beta]2)*Cos[2*l2*\[Theta]1]*
- Sin[2*\[Theta]3])))/(l1*(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])))*
- Sin[2*\[CurlyPhi]1] - (1/(512*\[Omega]1))*
- p*((8*
- Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*Cos[4*\[Theta]3]*
- Sin[4*l2*\[Theta]1])/
- (4*Sin[4*l2*Pi] + Sin[8*l2*Pi]) + (16*
- Cos[2*\[Theta]3]*(-8*h3*(3*Sin[2*l2*Pi] + Sin[6*l2*Pi]) +
- l2*Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) + k2^2*(10 + 3*p))*
- \[Sigma]^2)*(Sin[
- 2*l2*(Pi - \[Theta]1)] -
- Sin[2*l2*(Pi + \[Theta]1)])))/(l2*(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])) + (1/(l1*(-1 + l1^2)*l2))*
- (8*l1*
- l2*(-4*(-1 + l1^2)*(4*\[Beta]1 + k1^2*\[Sigma]^2) +
- k1*k2*l1*(-2 + p)*\[Sigma]^2*Cos[2*\[Theta]2])*
- Sin[2*\[Theta]1] +
- 3*k1^2*l1*(-1 + l1^2)*l2*(-2 + p)*\[Sigma]^2*
- Sin[4*\[Theta]1] +
- 8*l2*Cos[
- 2*\[Theta]1]*(16*h1*l1*(-1 + l1^2) -
- k1*k2*l1*(-2 + p)*\[Sigma]^2*Sin[2*\[Theta]2]) + (-1 +
- l1^2)*(128*(h3*l1 - (h2 + h1*l1)*l2 +
- 2*l1*l2*(\[Beta]1 + \[Beta]2 - \[Beta]3)*\[Theta]1) \
- -
- 4*l1*l2*(-8*k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Theta]1*\[Sigma]^2 +
- 128*h2*l2*Cos[2*\[Theta]2] -
- 32*l2*(4*\[Beta]2 + k2^2*\[Sigma]^2)*Sin[2*\[Theta]2] +
- 3*k2^2*l2*(-2 + p)*\[Sigma]^2*
- Sin[4*\[Theta]2])) + (16*(l2*
- Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*
- Cos[2*l2*(Pi - \[Theta]1)] +
- l2*Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*
- Cos[2*l2*(Pi + \[Theta]1)] +
- 4*(2*\[Beta]3 + k3^2*\[Sigma]^2)*(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi]))*
- Sin[2*\[Theta]3])/(l2*(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])) - (8*(l2*
- Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*Cos[4*l2*\[Theta]1] +
- k3^2*(-2 + p)*\[Sigma]^2*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi]))*
- Sin[4*\[Theta]3])/(l2*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi])))*
- Sin[2*\[CurlyPhi]1] -
- (1/(1024*\[Omega]1))*(-2 + p)*p*\[Sigma]^2*
- Cos[4*\[CurlyPhi]2]*(-((8*k1*k2*l1*Cos[2*\[Theta]2]*
- Sin[2*\[Theta]1])/(-1 + l1^2)) +
- k1^2*Sin[
- 4*\[Theta]1] + (8*k1*k2*Cos[2*\[Theta]1]*
- Sin[2*\[Theta]2])/(-1 + l1^2) +
- (k2^2*Sin[4*\[Theta]2])/
- l1 + (2*(k1^2 + k2^2)*
- Sec[2*l2*
- Pi]*((-\[Theta]1)*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi]) +
- 4*Pi*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3]))/
- (3*Sin[2*l2*Pi] + Sin[6*l2*Pi]))*
- Sin[4*\[CurlyPhi]1] - ((-2 + p)*p*\[Sigma]^2*
- Cos[2*\[CurlyPhi]2]*(64*(k1 - k2)*(k1 + k2)*
- l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*Pi*Cos[2*l2*Pi]^2*
- Cos[2*\[Theta]3]*
- Sin[2*l2*\[Theta]1] +
- 8*(-k1^2 + k2^2)*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*Pi*
- Cos[4*\[Theta]3]*Sin[4*l2*\[Theta]1] +
- 64*(-k1^2 + k2^2)*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*Pi*
- Cos[2*l2*Pi]^2*
- Cos[2*l2*\[Theta]1]*
- Sin[2*\[Theta]3] + (4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])*(8*k3*l1*l2*
- Cos[2*\[Theta]3]*(k1*(-l1^2 + l2^2)*Sin[2*\[Theta]1] -
- k2*(-1 + l2^2)*Sin[2*\[Theta]2]) +
- (l1 - l2)*(l1 + l2)*(-1 +
- l2^2)*(4*(-k1^2 + k2^2)*l1*\[Theta]1 +
- k1^2*l1*Sin[4*\[Theta]1] - k2^2*Sin[4*\[Theta]2]) +
- 8*k3*l1*(k1*(l1 - l2)*(l1 + l2)*Cos[2*\[Theta]1] +
- k2*l1*(-1 + l2^2)*Cos[2*\[Theta]2])*
- Sin[2*\[Theta]3]) +
- 8*(k1 - k2)*(k1 + k2)*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Pi*Cos[4*l2*\[Theta]1]*Sin[4*\[Theta]3])*
- Sin[4*\[CurlyPhi]1])/
- (256*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 +
- l2)*\[Omega]1*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi])) -
- ((-2 + p)*
- p*\[Sigma]^2*(8*k2*l1*
- l2*(-1 + l2^2)*(k1*(-l1^2 + l2^2)*Cos[2*\[Theta]1] +
- 4*k3*(-1 + l1^2)*l2*Cos[2*\[Theta]3])*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])*Sin[2*\[Theta]2] +
- 3*k2^2*(-1 + l1^2)*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi])*
- Sin[4*\[Theta]2] +
- 8*k2*l1^2*l2*(-1 + l2^2)*
- Cos[2*\[Theta]2]*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi])*
- (k1*(l1 - l2)*(l1 + l2)*Sin[2*\[Theta]1] -
- 4*k3*(-1 + l1^2)*Sin[2*\[Theta]3]) +
- l1*(-1 + l1^2)*(l1 - l2)*(l1 + l2)*
- (l2*(-1 + l2^2)*(4*Sin[4*l2*Pi] +
- Sin[8*l2*
- Pi])*(-4*(3*(k1^2 + k2^2) + 8*k3^2)*\[Theta]1 +
- 3*k1^2*Sin[4*\[Theta]1]) -
- 8*(3*(k1^2 + k2^2) + 8*k3^2)*l2*(-1 + l2^2)*Pi*
- Cos[4*\[Theta]3]*
- Sin[4*l2*\[Theta]1] +
- 32*l2*Cos[2*l2*Pi]*
- Cos[2*\[Theta]3]*(-3*k1*k3*l2*
- Cos[2*l2*Pi - 2*\[Theta]1] -
- k1*k3*l2*Cos[6*l2*Pi - 2*\[Theta]1] +
- 3*k1*k3*l2*Cos[2*(l2*Pi + \[Theta]1)] +
- k1*k3*l2*Cos[2*(3*l2*Pi + \[Theta]1)] +
- 3*k1^2*Pi*Sin[2*l2*(Pi - \[Theta]1)] +
- 3*k2^2*Pi*Sin[2*l2*(Pi - \[Theta]1)] +
- 8*k3^2*Pi*Sin[2*l2*(Pi - \[Theta]1)] -
- 3*k1^2*l2^2*Pi*Sin[2*l2*(Pi - \[Theta]1)] -
- 3*k2^2*l2^2*Pi*Sin[2*l2*(Pi - \[Theta]1)] -
- 8*k3^2*l2^2*Pi*
- Sin[2*l2*(Pi - \[Theta]1)] + (3*(k1^2 + k2^2) +
- 8*k3^2)*(-1 + l2^2)*Pi*
- Sin[2*l2*(Pi + \[Theta]1)]) +
- 32*l2*Cos[
- 2*l2*Pi]*((-3*(k1^2 + k2^2) - 8*k3^2)*(-1 + l2^2)*Pi*
- Cos[2*l2*(Pi - \[Theta]1)] - (3*(k1^2 + k2^2) +
- 8*k3^2)*(-1 + l2^2)*Pi*
- Cos[2*l2*(Pi + \[Theta]1)] +
- 2*k1*k3*
- Cos[2*\[Theta]1]*(3*Sin[2*l2*Pi] + Sin[6*l2*Pi]))*
- Sin[2*\[Theta]3] +
- 8*(-1 +
- l2^2)*((3*(k1^2 + k2^2) + 8*k3^2)*l2*Pi*
- Cos[4*l2*\[Theta]1] +
- k3^2*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi]))*
- Sin[4*\[Theta]3]))*Sin[4*\[CurlyPhi]1])/(1024*
- l1*(-1 + l1^2)*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*\[Omega]1*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])) +
- (Cos[
- 2*\[CurlyPhi]1]*(l2*
- p*(l1*((-h2)*l1 + h3*l2)*(-1 +
- Cos[\[Theta]2]*Cos[\[Theta]3]) - (l2^2*\[Beta]2 +
- l1^2*\[Beta]3)*Cos[\[Theta]3]*Sin[\[Theta]2]) +
- l1*p*((l2^2*\[Beta]2 + l1^2*\[Beta]3)*Cos[\[Theta]2] +
- l2*(h3*l1 - h2*l2)*Sin[\[Theta]2])*Sin[\[Theta]3])*
- Sin[\[CurlyPhi]2])/(l1*(l1 - l2)*l2*(l1 + l2)*\[Omega]1) -
- (1/(2*l1*(-1 + l1^2)*\[Omega]1))*(l1*
- p*((h1 - h2*l1)*(-1 +
- Cos[\[Theta]1]*
- Cos[\[Theta]2]) + (l1^2*\[Beta]1 + \[Beta]2)*
- Cos[\[Theta]2]*Sin[\[Theta]1]) -
- p*((l1^2*\[Beta]1 + \[Beta]2)*Cos[\[Theta]1] +
- l1*(h2 - h1*l1)*Sin[\[Theta]1])*
- Sin[\[Theta]2])*Sin[2*\[CurlyPhi]1]*
- Sin[2*\[CurlyPhi]2])*((4*(\[Beta]3*\[Omega]2^2 - \[Beta]2*\
- \[Omega]3^2 + (\[Beta]3*\[Omega]2^2 + \[Beta]2*\[Omega]3^2)*
- Cos[2*\[Phi]1])*Sin[\[Theta]2]*Sin[\[Theta]3]*
- Sin[\[CurlyPhi]2])/(\[Omega]2*\[Omega]3) +
- 2*\[Sigma]^2*Cos[\[CurlyPhi]1]^3*
- Sin[\[CurlyPhi]1]*(k1*Cos[\[CurlyPhi]2]^2*Sin[2*\[Theta]1] -
- k3*Sin[2*\[Theta]3] +
- k2*Sin[2*\[Theta]2]*Sin[\[CurlyPhi]2]^2)^2 -
- 4*p*\[Sigma]^2*Cos[\[CurlyPhi]1]*
- Sin[\[CurlyPhi]1]*(k1*Cos[\[CurlyPhi]2]^2*Sin[2*\[Theta]1] -
- k3*Sin[2*\[Theta]3] +
- k2*Sin[2*\[Theta]2]*Sin[\[CurlyPhi]2]^2)*(k3*Cos[\[Theta]3]*
- Sin[\[Theta]3]*Sin[\[CurlyPhi]1]^2 +
- Cos[\[CurlyPhi]1]^2*(k1*Cos[\[Theta]1]*Cos[\[CurlyPhi]2]^2*
- Sin[\[Theta]1] +
- k2*Cos[\[Theta]2]*Sin[\[Theta]2]*
- Sin[\[CurlyPhi]2]^2)) - (1/(\[Omega]1*\[Omega]2))*2*
- Cos[\[CurlyPhi]1]*Sin[\[CurlyPhi]1]*
- (-2*k3^2*\[Sigma]^2*\[Omega]1*\[Omega]2*
- Cos[\[Theta]3]^2*Cos[2*\[Theta]3] -
- 4*h3*\[Omega]1*\[Omega]2*Cos[\[Theta]3]*Sin[\[Theta]3] +
- \[Omega]1*\[Omega]2*(2*
- Cos[\[CurlyPhi]2]^2*(k1^2*\[Sigma]^2*Cos[\[Theta]1]^2*
- Cos[2*\[Theta]1] - 4*\[Beta]1*Sin[\[Theta]1]^2 +
- 2*h1*Sin[2*\[Theta]1]) + (2*k2^2*\[Sigma]^2*
- Cos[\[Theta]2]^2*Cos[2*\[Theta]2] +
- 8*h2*Cos[\[Theta]2]*Sin[\[Theta]2] -
- 8*\[Beta]2*Sin[\[Theta]2]^2 + \[Sigma]^2*
- Cos[\[CurlyPhi]2]^2*(k1*Sin[2*\[Theta]1] -
- k2*Sin[2*\[Theta]2])^2)*Sin[\[CurlyPhi]2]^2 +
- 4*Sin[\[Theta]3]*(\[Beta]3*Sin[\[Theta]3] +
- h3*Cos[\[Theta]2]*Cot[\[CurlyPhi]1]*
- Sin[\[CurlyPhi]2])) +
- 2*((-h1)*\[Omega]1*\[Omega]2*Cos[\[Theta]2]*
- Sin[\[Theta]1] + ((-h2)*\[Omega]1*\[Omega]2*
- Cos[\[Theta]1] + \[Beta]2*\[Omega]1^2*
- Sin[\[Theta]1] + \[Beta]1*\[Omega]2^2*Sin[\[Theta]1])*
- Sin[\[Theta]2])*Sin[2*\[CurlyPhi]2]) +
- Cos[\[CurlyPhi]1]*
- Sin[\[CurlyPhi]1]*((-\[Sigma]^2)*(k1*Cos[\[CurlyPhi]2]^2*
- Sin[2*\[Theta]1] - k3*Sin[2*\[Theta]3] +
- k2*Sin[2*\[Theta]2]*Sin[\[CurlyPhi]2]^2)^2 +
- 8*h2*Cos[\[Theta]3]*Sin[\[Theta]2]*Sin[\[CurlyPhi]2]*
- Tan[\[CurlyPhi]1])) +
- (1/\[Epsilon])*((1/(2*l1*(-1 + l1^2)*\[Omega]1))*
- Cos[2*\[CurlyPhi]2]*(l1*
- p*((h1 - h2*l1)*(-1 +
- Cos[\[Theta]1]*
- Cos[\[Theta]2]) + (l1^2*\[Beta]1 + \[Beta]2)*
- Cos[\[Theta]2]*Sin[\[Theta]1]) -
- p*((l1^2*\[Beta]1 + \[Beta]2)*Cos[\[Theta]1] +
- l1*(h2 - h1*l1)*Sin[\[Theta]1])*
- Sin[\[Theta]2]) + (1/(2*l1*(-1 + l1^2)*\[Omega]1))*
- Cos[2*\[CurlyPhi]1]*Cos[2*\[CurlyPhi]2]*
- (l1*
- p*((h1 - h2*l1)*(-1 +
- Cos[\[Theta]1]*
- Cos[\[Theta]2]) + (l1^2*\[Beta]1 + \[Beta]2)*
- Cos[\[Theta]2]*Sin[\[Theta]1]) -
- p*((l1^2*\[Beta]1 + \[Beta]2)*Cos[\[Theta]1] +
- l1*(h2 - h1*l1)*Sin[\[Theta]1])*Sin[\[Theta]2]) +
- (Cos[\[CurlyPhi]2]*(l2*
- p*(l1*((-h2)*l1 + h3*l2)*(-1 +
- Cos[\[Theta]2]*Cos[\[Theta]3]) - (l2^2*\[Beta]2 +
- l1^2*\[Beta]3)*Cos[\[Theta]3]*Sin[\[Theta]2]) +
- l1*p*((l2^2*\[Beta]2 + l1^2*\[Beta]3)*Cos[\[Theta]2] +
- l2*(h3*l1 - h2*l2)*Sin[\[Theta]2])*Sin[\[Theta]3])*
- Sin[2*\[CurlyPhi]1])/(2*l1*(l1 - l2)*
- l2*(l1 + l2)*\[Omega]1) -
- (1/(128*\[Omega]1))*p*
- Cos[2*\[CurlyPhi]1]*((32*h2 -
- 32*l1*(h1 + 2*(-\[Beta]1 + \[Beta]2)*\[Theta]1) -
- 4*(k1 - k2)*(k1 + k2)*l1*(2 + p)*\[Theta]1*\[Sigma]^2)/
- l1 + 32*h1*Cos[2*\[Theta]1] - (32*h2*Cos[2*\[Theta]2])/l1 -
- 8*(4*\[Beta]1 + k1^2*\[Sigma]^2)*
- Sin[2*\[Theta]1] + (512*Pi*(-\[Beta]1 + \[Beta]2)*
- Cos[2*l2*Pi]*Cos[2*\[Theta]3]*
- Sin[2*l2*\[Theta]1])/(3*Sin[2*l2*Pi] + Sin[6*l2*Pi]) +
- (Sec[
- 2*l2*Pi]*(Cos[
- 2*l2*Pi]*(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])*(32*\[Beta]2*
- Sin[2*\[Theta]2] + \[Sigma]^2*(k1^2*l1*(-2 + p)*
- Sin[4*\[Theta]1] +
- k2^2*(8*Sin[2*\[Theta]2] - (-2 + p)*
- Sin[4*\[Theta]2]))) +
- 4*l1*Pi*(16*\[Beta]1 -
- 16*\[Beta]2 - (k1 - k2)*(k1 + k2)*(2 +
- p)*\[Sigma]^2)*
- Sin[4*l2*\[Theta]1 - 4*\[Theta]3] +
- 32*l1*Pi*
- Cos[2*l2*Pi]^2*((k1 - k2)*(k1 + k2)*(2 + p)*\[Sigma]^2*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3] +
- 16*(\[Beta]1 - \[Beta]2)*Cos[2*l2*\[Theta]1]*
- Sin[2*\[Theta]3])))/(l1*(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi])))*Sin[2*\[CurlyPhi]2] -
- ((-2 + p)*p*\[Sigma]^2*
- Cos[4*\[CurlyPhi]1]*(64*(k1 - k2)*(k1 + k2)*
- l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*Pi*Cos[2*l2*Pi]^2*
- Cos[2*\[Theta]3]*Sin[2*l2*\[Theta]1] +
- 8*(-k1^2 + k2^2)*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*Pi*
- Cos[4*\[Theta]3]*Sin[4*l2*\[Theta]1] +
- 64*(-k1^2 + k2^2)*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*Pi*
- Cos[2*l2*Pi]^2*Cos[2*l2*\[Theta]1]*
- Sin[2*\[Theta]3] + (4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])*(8*k3*l1*l2*
- Cos[2*\[Theta]3]*(k1*(-l1^2 + l2^2)*Sin[2*\[Theta]1] -
- k2*(-1 + l2^2)*Sin[2*\[Theta]2]) +
- (l1 - l2)*(l1 + l2)*(-1 +
- l2^2)*(4*(-k1^2 + k2^2)*l1*\[Theta]1 +
- k1^2*l1*Sin[4*\[Theta]1] - k2^2*Sin[4*\[Theta]2]) +
- 8*k3*l1*(k1*(l1 - l2)*(l1 + l2)*Cos[2*\[Theta]1] +
- k2*l1*(-1 + l2^2)*Cos[2*\[Theta]2])*
- Sin[2*\[Theta]3]) +
- 8*(k1 - k2)*(k1 + k2)*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Pi*Cos[4*l2*\[Theta]1]*Sin[4*\[Theta]3])*
- Sin[2*\[CurlyPhi]2])/
- (512*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 +
- l2)*\[Omega]1*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi])) -
- 2*((p*Pi*(-64*\[Beta]1 +
- 64*\[Beta]2 + (k1 - k2)*(k1 + k2)*(10 +
- 3*p)*\[Sigma]^2)*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3])/
- (64*\[Omega]1*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])) + (p*(3*
- k2^2*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*(-2 +
- p)*\[Sigma]^2*Cos[4*l1*\[Theta]1]*
- Sin[4*l1*\[Theta]1 - 4*\[Theta]2] +
- 32*((4*l2^2*(-1 - l1^2 + l2^2)*\[Beta]2 +
- k2^2*(-1 + l2^2)*(-l1^2 + l2^2)*\[Sigma]^2)*
- Cos[2*l1*\[Theta]1] -
- 4*h2*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Sin[2*l1*\[Theta]1])*
- Sin[2*l1*\[Theta]1 - 2*\[Theta]2] +
- 4*k1*k3*
- l1*(l2^2*(2 + 2*l2 - p) +
- l1^2*(1 + l2)*(-2 + p))*\[Sigma]^2*
- Cos[2*(-1 + l2)*\[Theta]1]*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3]))/(1024*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 + l2)*\[Omega]1) +
- (p*(128*h1*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Cos[2*\[Theta]1] -
- 128*Cos[
- 2*l1*\[Theta]1]*(h2*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Cos[2*l1*\[Theta]1 - 2*\[Theta]2] -
- l1^2*\[Beta]2*Sin[2*l1*\[Theta]1 - 2*\[Theta]2]) +
- (1/2)*(l1 +
- l2)*(8*l1*(l1 - l2)*(-1 + l2)*(1 +
- l2)*\[Theta]1*(64*\[Beta]1 -
- 64*\[Beta]2 - (k1 - k2)*(k1 + k2)*(10 +
- 3*p)*\[Sigma]^2) +
- 4*l1*(l1 -
- l2)*(-16*(-1 + l2^2)*(4*\[Beta]1 +
- k1^2*\[Sigma]^2) + k1*
- (-2 +
- p)*\[Sigma]^2*(3*k1*(-1 + l2^2)*
- Cos[2*\[Theta]1] +
- 4*k3*l2*Cos[2*l2*\[Theta]1]*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3]))*
- Sin[2*\[Theta]1] - 2*(l1 - l2)*(-1 + l2^2)*
- (6*k2^2*(-2 + p)*\[Sigma]^2*
- Cos[2*l1*\[Theta]1]*
- Cos[4*l1*\[Theta]1 - 4*\[Theta]2] -
- 32*(4*\[Beta]2 + k2^2*\[Sigma]^2)*
- Cos[2*l1*\[Theta]1 - 2*\[Theta]2])*
- Sin[2*l1*\[Theta]1] +
- 4*k3*l1*(-2 + p)*\[Sigma]^2*
- Cos[2*\[Theta]3]*(2*k1*(-l1 + l2)*Cos[2*\[Theta]1]*
- Sin[4*l2*\[Theta]1] +
- k2*(-1 +
- l2^2)*(Sin[
- 4*l1*\[Theta]1 - 4*l2*\[Theta]1 - 2*\[Theta]2] +
- Sin[2*\[Theta]2])) +
- 4*k3*l1*(-2 +
- p)*\[Sigma]^2*(-2*k2*(-1 + l2^2)*Cos[2*\[Theta]2]*
- Sin[2*(l1 - l2)*\[Theta]1]^2 +
- 4*k1*(-l1 + l2)*Cos[2*\[Theta]1]*
- Sin[2*l2*\[Theta]1]^2 +
- k2*(-1 + l2^2)*Sin[4*(l1 - l2)*\[Theta]1]*
- Sin[2*\[Theta]2])*
- Sin[2*\[Theta]3])))/(1024*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 + l2)*\[Omega]1) +
- (p*(k1*k3*
- l1*(-1 + l2)*(-l1^2 + l2^2)*(-2 + p)*\[Sigma]^2*
- Cos[2*(1 + l2)*\[Theta]1]*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3] +
- k1*k3*l1*l2^3*p*\[Sigma]^2*Cos[2*(-1 + l2)*\[Theta]1]*
- Sin[2*((-l2)*\[Theta]1 + \[Theta]3)] -
- (-1 +
- l2^2)*(-32*(h2 - h1*l1)*(l1 - l2)*(l1 + l2) +
- k2*k3*l1*(-2 +
- p)*\[Sigma]^2*((l1 + l2)*
- Cos[2*(l1 - l2)*\[Theta]1]*
- Sin[2*(l1*\[Theta]1 -
- l2*\[Theta]1 - \[Theta]2 + \[Theta]3)] + (l1 - l2)*
- Sin[2*(\[Theta]2 + \[Theta]3)]))))/(256*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 + l2)*\[Omega]1))*
- Sin[2*\[CurlyPhi]2] - (1/(1024*\[Omega]1))*3*(-2 + p)*
- p*\[Sigma]^2*
- (-((8*k1*k2*l1*Cos[2*\[Theta]2]*Sin[2*\[Theta]1])/(-1 +
- l1^2)) +
- k1^2*Sin[
- 4*\[Theta]1] + (8*k1*k2*Cos[2*\[Theta]1]*
- Sin[2*\[Theta]2])/(-1 + l1^2) + (k2^2*Sin[4*\[Theta]2])/
- l1 +
- (2*(k1^2 + k2^2)*
- Sec[2*l2*
- Pi]*((-\[Theta]1)*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi]) +
- 4*Pi*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3]))/
- (3*Sin[2*l2*Pi] + Sin[6*l2*Pi]))*
- Sin[4*\[CurlyPhi]2] - (1/(256*\[Omega]1))*(-2 + p)*
- p*\[Sigma]^2*
- Cos[2*\[CurlyPhi]1]*(-((8*k1*k2*l1*Cos[2*\[Theta]2]*
- Sin[2*\[Theta]1])/(-1 + l1^2)) + k1^2*Sin[4*\[Theta]1] +
- (8*k1*k2*Cos[2*\[Theta]1]*Sin[2*\[Theta]2])/(-1 +
- l1^2) + (k2^2*Sin[4*\[Theta]2])/
- l1 + (2*(k1^2 + k2^2)*
- Sec[2*l2*
- Pi]*((-\[Theta]1)*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi]) +
- 4*Pi*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3]))/(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi]))*Sin[4*\[CurlyPhi]2] -
- (1/(1024*\[Omega]1))*(-2 + p)*p*\[Sigma]^2*
- Cos[4*\[CurlyPhi]1]*(-((8*k1*k2*l1*Cos[2*\[Theta]2]*
- Sin[2*\[Theta]1])/(-1 + l1^2)) +
- k1^2*Sin[
- 4*\[Theta]1] + (8*k1*k2*Cos[2*\[Theta]1]*
- Sin[2*\[Theta]2])/(-1 + l1^2) +
- (k2^2*Sin[4*\[Theta]2])/
- l1 + (2*(k1^2 + k2^2)*
- Sec[2*l2*
- Pi]*((-\[Theta]1)*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi]) +
- 4*Pi*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3]))/
- (3*Sin[2*l2*Pi] + Sin[6*l2*Pi]))*
- Sin[4*\[CurlyPhi]2])*((-p)*\[Epsilon]*\[Sigma]^2*
- Cos[\[CurlyPhi]2]*(k1*Cos[\[Theta]1]*Sin[\[Theta]1] -
- k2*Cos[\[Theta]2]*Sin[\[Theta]2])*Sin[\[CurlyPhi]2]*
- (k3*Cos[\[Theta]3]*Sin[\[Theta]3]*Sin[\[CurlyPhi]1]^2 +
- Cos[\[CurlyPhi]1]^2*(k1*Cos[\[Theta]1]*Cos[\[CurlyPhi]2]^2*
- Sin[\[Theta]1] +
- k2*Cos[\[Theta]2]*Sin[\[Theta]2]*Sin[\[CurlyPhi]2]^2)) +
- (1/(16*\[Omega]1*\[Omega]2))*\[Epsilon]*(-16*
- h2*\[Omega]1*\[Omega]2*Cos[\[Theta]1]*Cos[\[CurlyPhi]2]^2*
- Sin[\[Theta]2] +
- 16*\[Beta]2*\[Omega]1^2*Cos[\[CurlyPhi]2]^2*Sin[\[Theta]1]*
- Sin[\[Theta]2] +
- 16*\[Omega]2*
- Sin[\[Theta]1]*(h1*\[Omega]1*
- Cos[\[Theta]2] - \[Beta]1*\[Omega]2*Sin[\[Theta]2])*
- Sin[\[CurlyPhi]2]^2 -
- 4*k1^2*\[Sigma]^2*\[Omega]1*\[Omega]2*Cos[\[Theta]1]^2*
- Cos[2*\[Theta]1]*Sin[2*\[CurlyPhi]2] +
- \[Omega]1*\[Omega]2*(2*
- Cos[\[Theta]2]*(k2^2*\[Sigma]^2*(Cos[\[Theta]2] +
- Cos[3*\[Theta]2]) + 8*h2*Sin[\[Theta]2]) +
- Sin[2*\[Theta]1]*(-8*h1 +
- k1*k2*\[Sigma]^2*Sin[2*\[Theta]2]))*
- Sin[2*\[CurlyPhi]2] +
- \[Omega]1*
- Cos[\[CurlyPhi]2]*(\[Omega]2*(32*\[Beta]1*
- Sin[\[Theta]1]^2 -
- 32*\[Beta]2*
- Sin[\[Theta]2]^2 - \[Sigma]^2*(k1^2*
- Sin[2*\[Theta]1]^2 + k2^2*Sin[2*\[Theta]2]^2))*
- Sin[\[CurlyPhi]2] + \[Sigma]^2*\[Omega]2*(k1*
- Sin[2*\[Theta]1] - k2*Sin[2*\[Theta]2])^2*
- Sin[3*\[CurlyPhi]2] +
- 16*Sin[\[Theta]2]*((-h2)*\[Omega]2*
- Cos[\[Theta]3] + \[Beta]2*\[Omega]3*Sin[\[Theta]3])*
- Tan[\[CurlyPhi]1]))) +
- (1/\[Omega]1)*
- Cos[\[Theta]1]*((1/(4096*\[Omega]1))*3*(-2 + p)*p*\[Sigma]^2*
- Cos[4*\[CurlyPhi]2]*(4*k1^2*
- Cos[4*\[Theta]1] - (16*k1*k2*l1*Cos[2*\[Theta]1]*
- Cos[2*\[Theta]2])/(-1 + l1^2) -
- (16*k1*k2*Sin[2*\[Theta]1]*Sin[2*\[Theta]2])/(-1 +
- l1^2) + (2*(k1^2 + k2^2)*
- Sec[2*l2*
- Pi]*(8*l2*
- Pi*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3] - 4*Sin[4*l2*Pi] -
- Sin[8*l2*Pi] +
- 8*l2*Pi*Sin[2*l2*\[Theta]1 - 2*\[Theta]3]^2))/(3*
- Sin[2*l2*Pi] +
- Sin[6*l2*Pi])) + (1/(1024*\[Omega]1))*(-2 + p)*
- p*\[Sigma]^2*Cos[2*\[CurlyPhi]1]*Cos[4*\[CurlyPhi]2]*
- (4*k1^2*
- Cos[4*\[Theta]1] - (16*k1*k2*l1*Cos[2*\[Theta]1]*
- Cos[2*\[Theta]2])/(-1 + l1^2) - (16*k1*k2*
- Sin[2*\[Theta]1]*Sin[2*\[Theta]2])/(-1 + l1^2) +
- (2*(k1^2 + k2^2)*
- Sec[2*l2*
- Pi]*(8*l2*
- Pi*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3] - 4*Sin[4*l2*Pi] -
- Sin[8*l2*Pi] +
- 8*l2*Pi*Sin[2*l2*\[Theta]1 - 2*\[Theta]3]^2))/(3*
- Sin[2*l2*Pi] +
- Sin[6*l2*Pi])) + (1/(4096*\[Omega]1))*(-2 + p)*
- p*\[Sigma]^2*Cos[4*\[CurlyPhi]1]*Cos[4*\[CurlyPhi]2]*
- (4*k1^2*
- Cos[4*\[Theta]1] - (16*k1*k2*l1*Cos[2*\[Theta]1]*
- Cos[2*\[Theta]2])/(-1 + l1^2) - (16*k1*k2*
- Sin[2*\[Theta]1]*Sin[2*\[Theta]2])/(-1 + l1^2) +
- (2*(k1^2 + k2^2)*
- Sec[2*l2*
- Pi]*(8*l2*
- Pi*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3] - 4*Sin[4*l2*Pi] -
- Sin[8*l2*Pi] +
- 8*l2*Pi*Sin[2*l2*\[Theta]1 - 2*\[Theta]3]^2))/(3*
- Sin[2*l2*Pi] + Sin[6*l2*Pi])) + (p*(48*k1*k2*
- l1^2*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*(-2 + p)*\[Sigma]^2*
- Cos[2*\[Theta]1]*Cos[2*\[Theta]2] +
- (-1 +
- l1^2)*((-(l1 - l2))*
- l2*(l1 + l2)*(-1 +
- l2^2)*(256*l1*(4*\[Beta]1 + k1^2*\[Sigma]^2)*
- Cos[2*\[Theta]1] -
- 36*k1^2*l1*(-2 + p)*\[Sigma]^2*Cos[4*\[Theta]1]) +
- 64*k1*k3*l1*(l1 - l2)*
- l2^2*(l1 + l2)*(-2 + p)*\[Sigma]^2*Cos[2*\[Theta]1]*
- Cos[2*\[Theta]3]) -
- 16*l1*(l1 - l2)*l2*(l1 + l2)*
- Sin[2*\[Theta]1]*(64*h1*(-1 + l1^2)*(-1 + l2^2) +
- k1*(-2 +
- p)*\[Sigma]^2*(-3*k2*(-1 + l2^2)*Sin[2*\[Theta]2] -
- 4*k3*(-1 + l1^2)*Sin[2*\[Theta]3]))))/(4096*
- l1*(-1 + l1^2)*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*\[Omega]1) +
- (1/(256*\[Omega]1))*p*Cos[2*\[CurlyPhi]1]*
- Cos[2*\[CurlyPhi]2]*((-64*l1*(-\[Beta]1 + \[Beta]2) -
- 4*(k1 - k2)*(k1 + k2)*l1*(2 + p)*\[Sigma]^2)/l1 -
- 16*(4*\[Beta]1 + k1^2*\[Sigma]^2)*Cos[2*\[Theta]1] +
- (1024*l2*Pi*(-\[Beta]1 + \[Beta]2)*Cos[2*l2*Pi]*
- Cos[2*l2*\[Theta]1]*Cos[2*\[Theta]3])/(3*Sin[2*l2*Pi] +
- Sin[6*l2*Pi]) - 64*h1*Sin[2*\[Theta]1] +
- (Sec[
- 2*l2*Pi]*(16*l1*l2*
- Pi*(16*\[Beta]1 -
- 16*\[Beta]2 - (k1 - k2)*(k1 + k2)*(2 +
- p)*\[Sigma]^2)*
- Cos[4*l2*\[Theta]1 - 4*\[Theta]3] +
- 4*k1^2*l1*(-2 + p)*\[Sigma]^2*Cos[2*l2*Pi]*
- Cos[4*\[Theta]1]*
- (3*Sin[2*l2*Pi] + Sin[6*l2*Pi]) +
- 32*l1*Pi*
- Cos[2*l2*Pi]^2*(2*(k1 - k2)*(k1 + k2)*
- l2*(2 + p)*\[Sigma]^2*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3] -
- 32*l2*(\[Beta]1 - \[Beta]2)*Sin[2*l2*\[Theta]1]*
- Sin[2*\[Theta]3])))/
- (l1*(3*Sin[2*l2*Pi] + Sin[6*l2*Pi]))) + ((-2 + p)*
- p*\[Sigma]^2*Cos[4*\[CurlyPhi]1]*
- Cos[2*\[CurlyPhi]2]*(128*(k1 - k2)*(k1 + k2)*l1*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*Pi*Cos[2*l2*Pi]^2*
- Cos[2*l2*\[Theta]1]*
- Cos[2*\[Theta]3] +
- 32*(-k1^2 + k2^2)*l1*(l1 - l2)*l2*(l1 + l2)*(-1 + l2^2)*Pi*
- Cos[4*l2*\[Theta]1]*Cos[4*\[Theta]3] -
- 128*(-k1^2 + k2^2)*l1*(l1 - l2)*l2*(l1 + l2)*(-1 + l2^2)*
- Pi*Cos[2*l2*Pi]^2*
- Sin[2*l2*\[Theta]1]*
- Sin[2*\[Theta]3] + (4*Sin[4*l2*Pi] +
- Sin[8*l2*
- Pi])*((l1 - l2)*(l1 + l2)*(-1 +
- l2^2)*(4*(-k1^2 + k2^2)*l1 +
- 4*k1^2*l1*Cos[4*\[Theta]1]) +
- 16*k1*k3*l1*l2*(-l1^2 + l2^2)*Cos[2*\[Theta]1]*
- Cos[2*\[Theta]3] -
- 16*k1*k3*l1*(l1 - l2)*(l1 + l2)*Sin[2*\[Theta]1]*
- Sin[2*\[Theta]3]) -
- 32*(k1 - k2)*(k1 + k2)*l1*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*
- Pi*Sin[4*l2*\[Theta]1]*Sin[4*\[Theta]3]))/(1024*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 +
- l2)*\[Omega]1*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi])) +
- (1/(1024*\[Omega]1))*p*
- Cos[2*\[CurlyPhi]1]*((16*
- Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*
- (-2*l2*Cos[2*l2*(Pi - \[Theta]1)] -
- 2*l2*Cos[2*l2*(Pi + \[Theta]1)])*
- Cos[2*\[Theta]3])/(3*Sin[2*l2*Pi] + Sin[6*l2*Pi]) +
- (32*l2*
- Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*Cos[4*l2*\[Theta]1]*
- Cos[4*\[Theta]3])/(4*Sin[4*l2*Pi] + Sin[8*l2*Pi]) +
- (1/(l1*(-1 + l1^2)*
- l2))*((-1 +
- l1^2)*(256*l1*l2*(\[Beta]1 + \[Beta]2 - \[Beta]3) -
- 4*l1*l2*(-8*k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2) +
- 12*k1^2*l1*(-1 + l1^2)*l2*(-2 + p)*\[Sigma]^2*
- Cos[4*\[Theta]1] +
- 16*l1*l2*
- Cos[2*\[Theta]1]*(-4*(-1 + l1^2)*(4*\[Beta]1 +
- k1^2*\[Sigma]^2) +
- k1*k2*l1*(-2 + p)*\[Sigma]^2*Cos[2*\[Theta]2]) -
- 16*l2*Sin[
- 2*\[Theta]1]*(16*h1*l1*(-1 + l1^2) -
- k1*k2*l1*(-2 + p)*\[Sigma]^2*Sin[2*\[Theta]2])) +
- (16*(2*l2^2*
- Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*
- Sin[2*l2*(Pi - \[Theta]1)] -
- 2*l2^2*Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*
- Sin[2*l2*(Pi + \[Theta]1)])*
- Sin[2*\[Theta]3])/(l2*(3*Sin[2*l2*Pi] + Sin[6*l2*Pi])) +
- (32*l2*
- Pi*(64*(\[Beta]1 + \[Beta]2 - \[Beta]3) - (-8*
- k3^2*(2 + p) + k1^2*(10 + 3*p) +
- k2^2*(10 + 3*p))*\[Sigma]^2)*Sin[4*l2*\[Theta]1]*
- Sin[4*\[Theta]3])/(4*Sin[4*l2*Pi] + Sin[8*l2*Pi])) +
- ((-2 + p)*p*\[Sigma]^2*
- Cos[4*\[CurlyPhi]1]*(16*k1*k2*l1^2*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*Cos[2*\[Theta]1]*
- Cos[2*\[Theta]2]*(4*Sin[4*l2*Pi] + Sin[8*l2*Pi]) -
- 16*k1*k2*l1*
- l2*(-1 + l2^2)*(-l1^2 + l2^2)*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])*Sin[2*\[Theta]1]*Sin[2*\[Theta]2] +
- l1*(-1 + l1^2)*(l1 - l2)*(l1 + l2)*
- (-32*(3*(k1^2 + k2^2) + 8*k3^2)*
- l2^2*(-1 + l2^2)*Pi*Cos[4*l2*\[Theta]1]*
- Cos[4*\[Theta]3] +
- l2*(-1 + l2^2)*(-4*(3*(k1^2 + k2^2) + 8*k3^2) +
- 12*k1^2*Cos[4*\[Theta]1])*
- (4*Sin[4*l2*Pi] + Sin[8*l2*Pi]) +
- 32*l2*Cos[2*l2*Pi]*
- Cos[2*\[Theta]3]*(-6*k1^2*l2*Pi*
- Cos[2*l2*(Pi - \[Theta]1)] -
- 6*k2^2*l2*Pi*Cos[2*l2*(Pi - \[Theta]1)] -
- 16*k3^2*l2*Pi*Cos[2*l2*(Pi - \[Theta]1)] +
- 6*k1^2*l2^3*Pi*Cos[2*l2*(Pi - \[Theta]1)] +
- 6*k2^2*l2^3*Pi*Cos[2*l2*(Pi - \[Theta]1)] +
- 16*k3^2*l2^3*Pi*Cos[2*l2*(Pi - \[Theta]1)] +
- 2*(3*(k1^2 + k2^2) + 8*k3^2)*l2*(-1 + l2^2)*Pi*
- Cos[2*l2*(Pi + \[Theta]1)] -
- 6*k1*k3*l2*Sin[2*l2*Pi - 2*\[Theta]1] -
- 2*k1*k3*l2*Sin[6*l2*Pi - 2*\[Theta]1] -
- 6*k1*k3*l2*Sin[2*(l2*Pi + \[Theta]1)] -
- 2*k1*k3*l2*Sin[2*(3*l2*Pi + \[Theta]1)]) +
- 32*l2*Cos[
- 2*l2*Pi]*(2*(-3*(k1^2 + k2^2) - 8*k3^2)*
- l2*(-1 + l2^2)*Pi*Sin[2*l2*(Pi - \[Theta]1)] -
- 4*k1*k3*(3*Sin[2*l2*Pi] + Sin[6*l2*Pi])*
- Sin[2*\[Theta]1] +
- 2*(3*(k1^2 + k2^2) + 8*k3^2)*l2*(-1 + l2^2)*Pi*
- Sin[2*l2*(Pi + \[Theta]1)])*Sin[2*\[Theta]3] -
- 32*(3*(k1^2 + k2^2) + 8*k3^2)*l2^2*(-1 + l2^2)*Pi*
- Sin[4*l2*\[Theta]1]*Sin[4*\[Theta]3])))/(4096*
- l1*(-1 + l1^2)*(l1 - l2)*
- l2*(l1 + l2)*(-1 + l2^2)*\[Omega]1*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])) +
- Cos[2*\[CurlyPhi]2]*((l2*p*
- Pi*(-64*\[Beta]1 +
- 64*\[Beta]2 + (k1 - k2)*(k1 + k2)*(10 +
- 3*p)*\[Sigma]^2)*(2 + 2*Cos[4*l2*Pi] -
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])/
- (32*\[Omega]1*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])) + (l2*p*
- Pi*(-64*\[Beta]1 +
- 64*\[Beta]2 + (k1 - k2)*(k1 + k2)*(10 +
- 3*p)*\[Sigma]^2)*Sin[2*l2*\[Theta]1 - 2*\[Theta]3]^2)/
- (32*\[Omega]1*(4*Sin[4*l2*Pi] +
- Sin[8*l2*Pi])) + (p*(12*k2^2*
- l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*(-2 + p)*\[Sigma]^2*
- Cos[4*l1*\[Theta]1]*Cos[4*l1*\[Theta]1 - 4*\[Theta]2] +
- 8*k1*k3*l1*
- l2*(l2^2*(2 + 2*l2 - p) +
- l1^2*(1 + l2)*(-2 + p))*\[Sigma]^2*
- Cos[2*(-1 + l2)*\[Theta]1]*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3] +
- 64*l1*Cos[2*l1*\[Theta]1 - 2*\[Theta]2]*
- ((4*l2^2*(-1 - l1^2 + l2^2)*\[Beta]2 +
- k2^2*(-1 + l2^2)*(-l1^2 + l2^2)*\[Sigma]^2)*
- Cos[2*l1*\[Theta]1] -
- 4*h2*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Sin[2*l1*\[Theta]1]) -
- 12*k2^2*
- l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*(-2 + p)*\[Sigma]^2*
- Sin[4*l1*\[Theta]1]*
- Sin[4*l1*\[Theta]1 - 4*\[Theta]2] +
- 32*(-8*h2*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Cos[2*l1*\[Theta]1] -
- 2*l1*(4*l2^2*(-1 - l1^2 + l2^2)*\[Beta]2 +
- k2^2*(-1 + l2^2)*(-l1^2 + l2^2)*\[Sigma]^2)*
- Sin[2*l1*\[Theta]1])*
- Sin[2*l1*\[Theta]1 - 2*\[Theta]2] -
- 8*k1*k3*
- l1*(-1 + l2)*(l2^2*(2 + 2*l2 - p) +
- l1^2*(1 + l2)*(-2 + p))*\[Sigma]^2*
- Sin[2*(-1 + l2)*\[Theta]1]*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3]))/(1024*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 + l2)*
- \[Omega]1) + (p*(-256*h1*
- l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*Sin[2*\[Theta]1] -
- 128*Cos[
- 2*l1*\[Theta]1]*(-2*l1^3*\[Beta]2*
- Cos[2*l1*\[Theta]1 - 2*\[Theta]2] -
- 2*h2*l1*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Sin[2*l1*\[Theta]1 - 2*\[Theta]2]) +
- 256*l1*Sin[
- 2*l1*\[Theta]1]*(h2*(l1 - l2)*(l1 + l2)*(-1 + l2^2)*
- Cos[2*l1*\[Theta]1 - 2*\[Theta]2] -
- l1^2*\[Beta]2*Sin[2*l1*\[Theta]1 - 2*\[Theta]2]) +
- (1/2)*(l1 +
- l2)*(8*l1*(l1 - l2)*(-1 + l2)*(1 +
- l2)*(64*\[Beta]1 -
- 64*\[Beta]2 - (k1 - k2)*(k1 + k2)*(10 +
- 3*p)*\[Sigma]^2) -
- 4*l1*(l1 - l2)*(-1 + l2^2)*Cos[2*l1*\[Theta]1]*
- (6*k2^2*(-2 + p)*\[Sigma]^2*
- Cos[2*l1*\[Theta]1]*
- Cos[4*l1*\[Theta]1 - 4*\[Theta]2] -
- 32*(4*\[Beta]2 + k2^2*\[Sigma]^2)*
- Cos[2*l1*\[Theta]1 - 2*\[Theta]2]) +
- 8*l1*(l1 - l2)*Cos[2*\[Theta]1]*
- (-16*(-1 + l2^2)*(4*\[Beta]1 +
- k1^2*\[Sigma]^2) +
- k1*(-2 +
- p)*\[Sigma]^2*(3*k1*(-1 + l2^2)*
- Cos[2*\[Theta]1] +
- 4*k3*l2*Cos[2*l2*\[Theta]1]*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3])) +
- 4*k3*l1*(-2 + p)*\[Sigma]^2*
- Cos[2*\[Theta]3]*(8*k1*l2*(-l1 + l2)*
- Cos[2*\[Theta]1]*Cos[4*l2*\[Theta]1] +
- k2*(4*l1 - 4*l2)*(-1 + l2^2)*
- Cos[4*l1*\[Theta]1 - 4*l2*\[Theta]1 -
- 2*\[Theta]2] - 4*k1*(-l1 + l2)*
- Sin[2*\[Theta]1]*
- Sin[4*l2*\[Theta]1]) -
- 2*(l1 - l2)*(-1 + l2^2)*
- Sin[2*l1*\[Theta]1]*(-12*k2^2*
- l1*(-2 + p)*\[Sigma]^2*
- Cos[4*l1*\[Theta]1 - 4*\[Theta]2]*
- Sin[2*l1*\[Theta]1] -
- 24*k2^2*l1*(-2 + p)*\[Sigma]^2*
- Cos[2*l1*\[Theta]1]*
- Sin[4*l1*\[Theta]1 - 4*\[Theta]2] +
- 64*l1*(4*\[Beta]2 + k2^2*\[Sigma]^2)*
- Sin[2*l1*\[Theta]1 - 2*\[Theta]2]) +
- 4*k1*l1*(l1 - l2)*(-2 + p)*\[Sigma]^2*
- Sin[2*\[Theta]1]*
- (-6*k1*(-1 + l2^2)*Sin[2*\[Theta]1] -
- 8*k3*l2^2*Cos[2*l2*\[Theta]1 - 2*\[Theta]3]*
- Sin[2*l2*\[Theta]1] -
- 8*k3*l2^2*Cos[2*l2*\[Theta]1]*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3]) +
- 4*k3*l1*(-2 +
- p)*\[Sigma]^2*(-8*k2*(l1 - l2)*(-1 + l2^2)*
- Cos[2*(l1 - l2)*\[Theta]1]*Cos[2*\[Theta]2]*
- Sin[2*(l1 - l2)*\[Theta]1] +
- 16*k1*l2*(-l1 + l2)*Cos[2*\[Theta]1]*
- Cos[2*l2*\[Theta]1]*Sin[2*l2*\[Theta]1] -
- 8*k1*(-l1 + l2)*Sin[2*\[Theta]1]*
- Sin[2*l2*\[Theta]1]^2 +
- 4*k2*(l1 - l2)*(-1 + l2^2)*
- Cos[4*(l1 - l2)*\[Theta]1]*Sin[2*\[Theta]2])*
- Sin[2*\[Theta]3])))/
- (1024*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 +
- l2)*\[Omega]1) + (p*(2*k1*k3*l1*(-1 + l2)*
- l2*(-l1^2 + l2^2)*(-2 + p)*\[Sigma]^2*
- Cos[2*(1 + l2)*\[Theta]1]*
- Cos[2*l2*\[Theta]1 - 2*\[Theta]3] -
- 2*k1*k3*l1*l2^4*p*\[Sigma]^2*Cos[2*(-1 + l2)*\[Theta]1]*
- Cos[2*((-l2)*\[Theta]1 + \[Theta]3)] -
- 2*k1*k3*
- l1*(-1 + l2)*(1 + l2)*(-l1^2 + l2^2)*(-2 +
- p)*\[Sigma]^2*Sin[2*(1 + l2)*\[Theta]1]*
- Sin[2*l2*\[Theta]1 - 2*\[Theta]3] -
- 2*k1*k3*l1*(-1 + l2)*l2^3*p*\[Sigma]^2*
- Sin[2*(-1 + l2)*\[Theta]1]*
- Sin[2*((-l2)*\[Theta]1 + \[Theta]3)] -
- k2*k3*l1*(-1 + l2^2)*(-2 + p)*\[Sigma]^2*
- (2*(l1 - l2)*(l1 + l2)*
- Cos[2*(l1 - l2)*\[Theta]1]*
- Cos[2*(l1*\[Theta]1 -
- l2*\[Theta]1 - \[Theta]2 + \[Theta]3)] -
- 2*(l1 - l2)*(l1 + l2)*Sin[2*(l1 - l2)*\[Theta]1]*
- Sin[2*(l1*\[Theta]1 -
- l2*\[Theta]1 - \[Theta]2 + \[Theta]3)])))/(256*
- l1*(l1 - l2)*(-1 + l2)*(1 + l2)*(l1 + l2)*\[Omega]1)) +
- (1/(4*l1*(-1 + l1^2)*\[Omega]1))*(l1*
- p*((l1^2*\[Beta]1 + \[Beta]2)*Cos[\[Theta]1]*
- Cos[\[Theta]2] - (h1 - h2*l1)*Cos[\[Theta]2]*
- Sin[\[Theta]1]) -
- p*(l1*(h2 - h1*l1)*
- Cos[\[Theta]1] - (l1^2*\[Beta]1 + \[Beta]2)*
- Sin[\[Theta]1])*
- Sin[\[Theta]2])*
- Sin[2*\[CurlyPhi]2] + (1/(4*l1*(-1 + l1^2)*\[Omega]1))*
- Cos[2*\[CurlyPhi]1]*(l1*
- p*((l1^2*\[Beta]1 + \[Beta]2)*Cos[\[Theta]1]*
- Cos[\[Theta]2] - (h1 - h2*l1)*Cos[\[Theta]2]*
- Sin[\[Theta]1]) -
- p*(l1*(h2 - h1*l1)*
- Cos[\[Theta]1] - (l1^2*\[Beta]1 + \[Beta]2)*
- Sin[\[Theta]1])*Sin[\[Theta]2])*Sin[2*\[CurlyPhi]2])*
- (\[Omega]1*(-2*\[Beta]1*Sin[\[Theta]1] +
- Cos[\[Theta]1]*(2*h1 +
- k1*\[Sigma]^2*(k1*
- Cos[\[Theta]1]*(-1 +
- p*Cos[\[CurlyPhi]1]^2*Cos[\[CurlyPhi]2]^2)*
- Sin[\[Theta]1] +
- p*(k3*Cos[\[Theta]3]*Sin[\[Theta]3]*
- Sin[\[CurlyPhi]1]^2 +
- k2*Cos[\[Theta]2]*Cos[\[CurlyPhi]1]^2*
- Sin[\[Theta]2]*
- Sin[\[CurlyPhi]2]^2)))) + ((-h1)*\[Omega]1*
- Cos[\[Theta]2] + \[Beta]1*\[Omega]2*Sin[\[Theta]2])*
- Tan[\[CurlyPhi]2]), {\[Theta]3, 0, 2*Pi}, {\[Theta]2, 0,
- 2*Pi}, {\[Theta]1, 0, 2*Pi},
- {\[CurlyPhi]2, 0, Pi/2}, {\[CurlyPhi]1, 0, Pi/2}]
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