a2 = a^2

a4 = a^4

b2 = b^2

b4 = b^4

c2 = c^2

c4 = c^4

d2 = d^2

d4 = d^4

e2 = e^2

e3 = e^3

f2 = f^2

f3 = f^3

t2 = Cos[r]^2

t3 = Cos[r]^3

t4 = Cos[r]^4

t5 = Cos[r]^5

t6 = Cos[r]^6

s2 = Sin[r]^2

s3 = Sin[r]^3

s4 = Sin[r]^4

s5 = Sin[r]^5

s6 = Sin[r]^6

t = Cos[r]

s = Sin[r]

g = (-(a2*b2*c4*d2*t2)+a4*c2*d4*t2+a2*b4*c4*t4-a4*b2*c2*d2*t4+a2*b2*c2*d2*e2*t4-3*a4*d4*e2*t4-a2*b2*c4*f2*t4-a4*c2*d2*f2*t4+2*a2*b2*c4*e*f*t3*s+6*a4*c2*d2*e*f*t3*s-2*a2*b2*c2*d2*e*f*t3*s-6*a4*d4*e*f*t3*s+a4*c4*d2*s2-a2*b2*c2*d4*s2+a4*b2*c4*t2*s2-4*a4*b2*c2*d2*t2*s2+2*a2*b4*c2*d2*t2*s2+a4*b2*d4*t2*s2-a2*b2*c4*e2*t2*s2-6*a4*c2*d2*e2*t2*s2+4*a2*b2*c2*d2*e2*t2*s2-a2*b2*d4*e2*t2*s2-3*a4*c4*f2*t2*s2+4*a4*c2*d2*f2*t2*s2-2*a2*b2*c2*d2*f2*t2*s2-3*a4*d4*f2*t2*s2+6*a4*c4*e*f*t*s3-6*a4*c2*d2*e*f*t*s3+2*a2*b2*c2*d2*e*f*t*s3-2*a2*b2*d4*e*f*t*s3-a4*b2*c2*d2*s4+a2*b4*d4*s4-3*a4*c4*e2*s4+a2*b2*c2*d2*e2*s4-a4*c2*d2*f2*s4-a2*b2*d4*f2*s4)

h = (a4*c4*d4-2*a4*b2*c4*d2*t2-2*a4*c2*d4*e2*t2-2*a4*c4*d2*f2*t2+a4*b4*c4*t4+2*a4*b2*c2*d2*e2*t4+a4*d4*e^4*t4-2*a4*b2*c4*f2*t4+2*a4*c2*d2*e2*f2*t4+a4*c4*f^4*t4+4*a4*c4*d2*e*f*t*s-4*a4*c2*d4*e*f*t*s+4*a4*b2*c4*e*f*t3*s-4*a4*b2*c2*d2*e*f*t3*s-4*a4*c2*d2*e3*f*t3*s+4*a4*d4*e3*f*t3*s-4*a4*c4*e*f3*t3*s+4*a4*c2*d2*e*f3*t3*s-2*a4*b2*c2*d4*s2-2*a4*c4*d2*e2*s2-2*a4*c2*d4*f2*s2+2*a4*b4*c2*d2*t2*s2-2*a4*b2*c4*e2*t2*s2+8*a4*b2*c2*d2*e2*t2*s2-2*a4*b2*d4*e2*t2*s2+2*a4*c2*d2*e^4*t2*s2-4*a4*b2*c2*d2*f2*t2*s2+6*a4*c4*e2*f2*t2*s2-8*a4*c2*d2*e2*f2*t2*s2+6*a4*d4*e2*f2*t2*s2+2*a4*c2*d2*f^4*t2*s2+4*a4*b2*c2*d2*e*f*t*s3-4*a4*b2*d4*e*f*t*s3-4*a4*c4*e3*f*t*s3+4*a4*c2*d2*e3*f*t*s3-4*a4*c2*d2*e*f3*t*s3+4*a4*d4*e*f3*t*s3+a4*b4*d4*s4+2*a4*b2*c2*d2*e2*s4+a4*c4*e^4*s4-2*a4*b2*d4*f2*s4+2*a4*c2*d2*e2*f2*s4+a4*d4*f^4*s4)

i = (a4*c2*d4*e*t2-a4*b2*c2*d2*e*t4-a4*d4*e3*t4-a4*c2*d2*e*f2*t4-a4*c4*d2*f*t*s+a4*c2*d4*f*t*s-a4*b2*c4*f*t3*s+a4*b2*c2*d2*f*t3*s+3*a4*c2*d2*e2*f*t3*s-3*a4*d4*e2*f*t3*s+a4*c4*f3*t3*s-a4*c2*d2*f3*t3*s+a4*c4*d2*e*s2+a4*b2*c4*e*t2*s2-4*a4*b2*c2*d2*e*t2*s2+a4*b2*d4*e*t2*s2-2*a4*c2*d2*e3*t2*s2-3*a4*c4*e*f2*t2*s2+4*a4*c2*d2*e*f2*t2*s2-3*a4*d4*e*f2*t2*s2-a4*b2*c2*d2*f*t*s3+a4*b2*d4*f*t*s3+3*a4*c4*e2*f*t*s3-3*a4*c2*d2*e2*f*t*s3+a4*c2*d2*f3*t*s3-a4*d4*f3*t*s3-a4*b2*c2*d2*e*s4-a4*c4*e3*s4-a4*c2*d2*e*f2*s4)

j = (-(a2*b2*c2*d2*e*t4)+a4*d4*e*t4-a2*b2*c4*f*t3*s-a4*c2*d2*f*t3*s+a2*b2*c2*d2*f*t3*s+a4*d4*f*t3*s+a2*b2*c4*e*t2*s2+2*a4*c2*d2*e*t2*s2-4*a2*b2*c2*d2*e*t2*s2+a2*b2*d4*e*t2*s2-a4*c4*f*t*s3+a4*c2*d2*f*t*s3-a2*b2*c2*d2*f*t*s3+a2*b2*d4*f*t*s3+a4*c4*e*s4-a2*b2*c2*d2*e*s4)

k = (b4*c4*t4-2*a2*b2*c2*d2*t4+a4*d4*t4+2*a2*b2*c4*t2*s2+2*a4*c2*d2*t2*s2-8*a2*b2*c2*d2*t2*s2+2*b4*c2*d2*t2*s2+2*a2*b2*d4*t2*s2+a4*c4*s4-2*a2*b2*c2*d2*s4+b4*d4*s4)

l = (a2*b2*c2*d2*e*t4-a4*d4*e*t4+a2*b2*c4*f*t3*s+a4*c2*d2*f*t3*s-a2*b2*c2*d2*f*t3*s-a4*d4*f*t3*s-a2*b2*c4*e*t2*s2-2*a4*c2*d2*e*t2*s2+4*a2*b2*c2*d2*e*t2*s2-a2*b2*d4*e*t2*s2+a4*c4*f*t*s3-a4*c2*d2*f*t*s3+a2*b2*c2*d2*f*t*s3-a2*b2*d4*f*t*s3-a4*c4*e*s4+a2*b2*c2*d2*e*s4)

m = (-16*g^3-288*j*g*i+432*k*i^2+432*j^2*h+144*k*g*h+Sqrt[-4*(4*g^2+48*j*i+12*k*h)^3+(-16*g^3-288*j*g*i+432*k*i^2+432*j^2*h+144*k*g*h)^2])

n = ((-64*l^3)/k^3-(32*l*g)/k^2+(32*(-(a4*c2*d4*e*t2)+a4*b2*c2*d2*e*t4+a4*d4*e3*t4+a4*c2*d2*e*f2*t4+a4*c4*d2*f*t*s-a4*c2*d4*f*t*s+a4*b2*c4*f*t3*s-a4*b2*c2*d2*f*t3*s-3*a4*c2*d2*e2*f*t3*s+3*a4*d4*e2*f*t3*s-a4*c4*f3*t3*s+a4*c2*d2*f3*t3*s-a4*c4*d2*e*s2-a4*b2*c4*e*t2*s2+4*a4*b2*c2*d2*e*t2*s2-a4*b2*d4*e*t2*s2+2*a4*c2*d2*e3*t2*s2+3*a4*c4*e*f2*t2*s2-4*a4*c2*d2*e*f2*t2*s2+3*a4*d4*e*f2*t2*s2+a4*b2*c2*d2*f*t*s3-a4*b2*d4*f*t*s3-3*a4*c4*e2*f*t*s3+3*a4*c2*d2*e2*f*t*s3-a4*c2*d2*f3*t*s3+a4*d4*f3*t*s3+a4*b2*c2*d2*e*s4+a4*c4*e3*s4+a4*c2*d2*e*f2*s4))/k)

o = (4*Sqrt[(4*l^2)/k^2+(4*g)/(3*k)+(2^(1/3)*(4*g^2+48*j*i+12*k*h))/(3*k*m^(1/3))+m^(1/3)/(3*2^(1/3)*k)])

p = (2^(1/3)*(4*g^2+48*j*i+12*k*h))

q = (-(l/k)-Sqrt[(4*l^2)/k^2+(4*g)/(3*k)+p/(3*k*m^(1/3))+m^(1/3)/(3*2^(1/3)*k)]/2-Sqrt[(8*l^2)/k^2+(8*g)/(3*k)-p/(3*k*m^(1/3))-m^(1/3)/(3*2^(1/3)*k)-n/o]/2)

u = (-(l/k)-Sqrt[(4*l^2)/k^2+(4*g)/(3*k)+p/(3*k*m^(1/3))+m^(1/3)/(3*2^(1/3)*k)]/2+Sqrt[(8*l^2)/k^2+(8*g)/(3*k)-p/(3*k*m^(1/3))-m^(1/3)/(3*2^(1/3)*k)-n/o]/2)

v = (-(l/k)+Sqrt[(4*l^2)/k^2+(4*g)/(3*k)+p/(3*k*m^(1/3))+m^(1/3)/(3*2^(1/3)*k)]/2-Sqrt[(8*l^2)/k^2+(8*g)/(3*k)-p/(3*k*m^(1/3))-m^(1/3)/(3*2^(1/3)*k)+n/o]/2)

w = (-(l/k)+Sqrt[(4*l^2)/k^2+(4*g)/(3*k)+p/(3*k*m^(1/3))+m^(1/3)/(3*2^(1/3)*k)]/2+Sqrt[(8*l^2)/k^2+(8*g)/(3*k)-p/(3*k*m^(1/3))-m^(1/3)/(3*2^(1/3)*k)+n/o]/2)

x = (2*a2*b2*c^6*f2*t6-2*a4*c4*d2*f2*t6-4*a2*b2*c^6*e*f*t5*s+4*a2*b2*c4*d2*e*f*t5*s+2*a4*c^6*d2*t2*s2-4*a4*c4*d4*t2*s2+2*a4*c2*d^6*t2*s2-2*a4*b2*c^6*t4*s2+4*a4*b2*c4*d2*t4*s2-2*a4*b2*c2*d4*t4*s2+2*a2*b2*c^6*e2*t4*s2-4*a2*b2*c4*d2*e2*t4*s2+2*a2*b2*c2*d4*e2*t4*s2-4*a4*c4*d2*f2*t4*s2+6*a2*b2*c4*d2*f2*t4*s2-2*a4*c2*d4*f2*t4*s2-8*a2*b2*c4*d2*e*f*t3*s3+8*a2*b2*c2*d4*e*f*t3*s3-2*a4*b2*c4*d2*t2*s4+4*a4*b2*c2*d4*t2*s4-2*a4*b2*d^6*t2*s4+2*a2*b2*c4*d2*e2*t2*s4-4*a2*b2*c2*d4*e2*t2*s4+2*a2*b2*d^6*e2*t2*s4-2*a4*c4*d2*f2*t2*s4-4*a4*c2*d4*f2*t2*s4+6*a2*b2*c2*d4*f2*t2*s4-4*a2*b2*c2*d4*e*f*t*s5+4*a2*b2*d^6*e*f*t*s5-2*a4*c2*d4*f2*s6+2*a2*b2*d^6*f2*s6)

y = (1/3)