1 - (x*(-1 + x - 2*z - x*z - x^2*z - 2*z^2 + 9*x*z^2 - x^2*z^2 - x^3*z^2 - 
    2*z^3 + 19*x*z^3 + x^2*z^3 + x^4*z^3 - z^4 + 22*x*z^4 - 36*x^2*z^4 - 
    2*x^3*z^4 + 4*x^4*z^4 + 19*x*z^5 - 72*x^2*z^5 + 2*x^3*z^5 - x^4*z^5 - 
    x^5*z^5 + 9*x*z^6 - 90*x^2*z^6 + 83*x^3*z^6 - 8*x^4*z^6 + x^5*z^6 - 
    x*z^7 - 72*x^2*z^7 + 150*x^3*z^7 - 21*x^4*z^7 + 37*x^5*z^7 - 2*x^6*z^7 + 
    x*z^8 - 36*x^2*z^8 + 180*x^3*z^8 - 118*x^4*z^8 + 93*x^5*z^8 - 
    22*x^6*z^8 + x^2*z^9 + 150*x^3*z^9 - 175*x^4*z^9 + 110*x^5*z^9 - 
    100*x^6*z^9 - x^2*z^10 + 83*x^3*z^10 - 212*x^4*z^10 + 131*x^5*z^10 - 
    217*x^6*z^10 + 4*x^7*z^10 - x^2*z^11 + 2*x^3*z^11 - 175*x^4*z^11 + 
    66*x^5*z^11 - 228*x^6*z^11 + 40*x^7*z^11 + 5*x^8*z^11 - 2*x^3*z^12 - 
    118*x^4*z^12 + 66*x^5*z^12 - 123*x^6*z^12 + 89*x^7*z^12 + 52*x^8*z^12 - 
    21*x^4*z^13 + 66*x^5*z^13 + 138*x^6*z^13 + 82*x^7*z^13 + 145*x^8*z^13 - 
    x^9*z^13 - x^3*z^14 - 8*x^4*z^14 + 131*x^5*z^14 + 228*x^6*z^14 + 
    27*x^7*z^14 + 241*x^8*z^14 - 23*x^9*z^14 - x^4*z^15 + 110*x^5*z^15 + 
    138*x^6*z^15 - 138*x^7*z^15 + 281*x^8*z^15 - 97*x^9*z^15 - 4*x^10*z^15 + 
    4*x^4*z^16 + 93*x^5*z^16 - 123*x^6*z^16 - 146*x^7*z^16 + 99*x^8*z^16 - 
    176*x^9*z^16 - 32*x^10*z^16 + x^4*z^17 + 37*x^5*z^17 - 228*x^6*z^17 - 
    138*x^7*z^17 - 133*x^8*z^17 - 172*x^9*z^17 - 109*x^10*z^17 + 
    2*x^11*z^17 + x^5*z^18 - 217*x^6*z^18 + 27*x^7*z^18 - 308*x^8*z^18 - 
    88*x^9*z^18 - 148*x^10*z^18 + 7*x^11*z^18 - x^5*z^19 - 100*x^6*z^19 + 
    82*x^7*z^19 - 133*x^8*z^19 - 16*x^9*z^19 - 105*x^10*z^19 + 30*x^11*z^19 - 
    22*x^6*z^20 + 89*x^7*z^20 + 99*x^8*z^20 + 104*x^9*z^20 - 6*x^10*z^20 + 
    85*x^11*z^20 + 10*x^12*z^20 - 2*x^6*z^21 + 40*x^7*z^21 + 281*x^8*z^21 - 
    16*x^9*z^21 + 230*x^10*z^21 + 86*x^11*z^21 + 42*x^12*z^21 + 4*x^7*z^22 + 
    241*x^8*z^22 - 88*x^9*z^22 + 328*x^10*z^22 + 17*x^11*z^22 + 
    87*x^12*z^22 + 145*x^8*z^23 - 172*x^9*z^23 + 230*x^10*z^23 + 
    34*x^11*z^23 + 18*x^12*z^23 + 14*x^13*z^23 + 52*x^8*z^24 - 176*x^9*z^24 - 
    6*x^10*z^24 + 126*x^11*z^24 - 126*x^12*z^24 + 22*x^13*z^24 + 5*x^8*z^25 - 
    97*x^9*z^25 - 105*x^10*z^25 + 34*x^11*z^25 - 112*x^12*z^25 - 
    35*x^13*z^25 - 23*x^9*z^26 - 148*x^10*z^26 + 17*x^11*z^26 - 
    62*x^12*z^26 - 110*x^13*z^26 + 6*x^14*z^26 - x^9*z^27 - 109*x^10*z^27 + 
    86*x^11*z^27 - 112*x^12*z^27 - 35*x^13*z^27 - 18*x^14*z^27 - 
    32*x^10*z^28 + 85*x^11*z^28 - 126*x^12*z^28 + 56*x^13*z^28 - 
    37*x^14*z^28 - 4*x^10*z^29 + 30*x^11*z^29 + 18*x^12*z^29 - 35*x^13*z^29 + 
    30*x^14*z^29 + 7*x^11*z^30 + 87*x^12*z^30 - 110*x^13*z^30 + 
    94*x^14*z^30 - 9*x^15*z^30 + 2*x^11*z^31 + 42*x^12*z^31 - 35*x^13*z^31 + 
    30*x^14*z^31 + 16*x^15*z^31 + 10*x^12*z^32 + 22*x^13*z^32 - 
    37*x^14*z^32 + 40*x^15*z^32 + 14*x^13*z^33 - 18*x^14*z^33 + 
    16*x^15*z^33 + 6*x^14*z^34 - 9*x^15*z^34 + 8*x^16*z^34))/
  ((-1 + x)^2*(-1 + x*z^2)*(-1 + x*z + x*z^2 + x^2*z^3)^2*(-1 + x*z^4)^2*
   (-1 + x*z^2 + x*z^3 + x^2*z^5)^2*(-1 + x*z + 2*x*z^2 + x*z^3 - x^2*z^3 - 
    x^2*z^4 - x^2*z^5 + 2*x^3*z^6 + x^4*z^8))
