-a^4 c^4 x^5 y^3 + 2 a^2 b^2 c^4 x^5 y^3 - b^4 c^4 x^5 y^3 + 
 2 a^2 c^6 x^5 y^3 - c^8 x^5 y^3 - 2 a^4 c^4 x^4 y^4 + 
 4 a^2 b^2 c^4 x^4 y^4 - 2 b^4 c^4 x^4 y^4 + 2 a^2 c^6 x^4 y^4 + 
 2 b^2 c^6 x^4 y^4 - a^4 c^4 x^3 y^5 + 2 a^2 b^2 c^4 x^3 y^5 - 
 b^4 c^4 x^3 y^5 + 2 b^2 c^6 x^3 y^5 - c^8 x^3 y^5 + 
 a^6 c^2 x^5 y^2 z - 5 a^4 b^2 c^2 x^5 y^2 z + 
 7 a^2 b^4 c^2 x^5 y^2 z - 3 b^6 c^2 x^5 y^2 z - 
 3 a^4 c^4 x^5 y^2 z + 8 a^2 b^2 c^4 x^5 y^2 z + b^4 c^4 x^5 y^2 z + 
 3 a^2 c^6 x^5 y^2 z - 3 b^2 c^6 x^5 y^2 z - c^8 x^5 y^2 z - 
 a^6 c^2 x^4 y^3 z - 3 a^4 b^2 c^2 x^4 y^3 z + 
 9 a^2 b^4 c^2 x^4 y^3 z - 5 b^6 c^2 x^4 y^3 z + 
 2 a^4 c^4 x^4 y^3 z + 10 a^2 b^2 c^4 x^4 y^3 z + 
 6 b^4 c^4 x^4 y^3 z - a^2 c^6 x^4 y^3 z - b^2 c^6 x^4 y^3 z - 
 5 a^6 c^2 x^3 y^4 z + 9 a^4 b^2 c^2 x^3 y^4 z - 
 3 a^2 b^4 c^2 x^3 y^4 z - b^6 c^2 x^3 y^4 z + 6 a^4 c^4 x^3 y^4 z + 
 10 a^2 b^2 c^4 x^3 y^4 z + 2 b^4 c^4 x^3 y^4 z - a^2 c^6 x^3 y^4 z - 
 b^2 c^6 x^3 y^4 z - 3 a^6 c^2 x^2 y^5 z + 7 a^4 b^2 c^2 x^2 y^5 z - 
 5 a^2 b^4 c^2 x^2 y^5 z + b^6 c^2 x^2 y^5 z + a^4 c^4 x^2 y^5 z + 
 8 a^2 b^2 c^4 x^2 y^5 z - 3 b^4 c^4 x^2 y^5 z - 
 3 a^2 c^6 x^2 y^5 z + 3 b^2 c^6 x^2 y^5 z - c^8 x^2 y^5 z + 
 a^6 b^2 x^5 y z^2 - 3 a^4 b^4 x^5 y z^2 + 3 a^2 b^6 x^5 y z^2 - 
 b^8 x^5 y z^2 - 5 a^4 b^2 c^2 x^5 y z^2 + 8 a^2 b^4 c^2 x^5 y z^2 - 
 3 b^6 c^2 x^5 y z^2 + 7 a^2 b^2 c^4 x^5 y z^2 + b^4 c^4 x^5 y z^2 - 
 3 b^2 c^6 x^5 y z^2 + 2 a^8 x^4 y^2 z^2 - 6 a^6 b^2 x^4 y^2 z^2 + 
 6 a^4 b^4 x^4 y^2 z^2 - 2 a^2 b^6 x^4 y^2 z^2 - 
 6 a^6 c^2 x^4 y^2 z^2 + 14 a^2 b^4 c^2 x^4 y^2 z^2 - 
 8 b^6 c^2 x^4 y^2 z^2 + 6 a^4 c^4 x^4 y^2 z^2 + 
 14 a^2 b^2 c^4 x^4 y^2 z^2 + 16 b^4 c^4 x^4 y^2 z^2 - 
 2 a^2 c^6 x^4 y^2 z^2 - 8 b^2 c^6 x^4 y^2 z^2 + 3 a^8 x^3 y^3 z^2 - 
 12 a^6 b^2 x^3 y^3 z^2 + 18 a^4 b^4 x^3 y^3 z^2 - 
 12 a^2 b^6 x^3 y^3 z^2 + 3 b^8 x^3 y^3 z^2 - 
 11 a^6 c^2 x^3 y^3 z^2 + 11 a^4 b^2 c^2 x^3 y^3 z^2 + 
 11 a^2 b^4 c^2 x^3 y^3 z^2 - 11 b^6 c^2 x^3 y^3 z^2 + 
 17 a^4 c^4 x^3 y^3 z^2 + 22 a^2 b^2 c^4 x^3 y^3 z^2 + 
 17 b^4 c^4 x^3 y^3 z^2 - 13 a^2 c^6 x^3 y^3 z^2 - 
 13 b^2 c^6 x^3 y^3 z^2 + 4 c^8 x^3 y^3 z^2 - 2 a^6 b^2 x^2 y^4 z^2 + 
 6 a^4 b^4 x^2 y^4 z^2 - 6 a^2 b^6 x^2 y^4 z^2 + 2 b^8 x^2 y^4 z^2 - 
 8 a^6 c^2 x^2 y^4 z^2 + 14 a^4 b^2 c^2 x^2 y^4 z^2 - 
 6 b^6 c^2 x^2 y^4 z^2 + 16 a^4 c^4 x^2 y^4 z^2 + 
 14 a^2 b^2 c^4 x^2 y^4 z^2 + 6 b^4 c^4 x^2 y^4 z^2 - 
 8 a^2 c^6 x^2 y^4 z^2 - 2 b^2 c^6 x^2 y^4 z^2 - a^8 x y^5 z^2 + 
 3 a^6 b^2 x y^5 z^2 - 3 a^4 b^4 x y^5 z^2 + a^2 b^6 x y^5 z^2 - 
 3 a^6 c^2 x y^5 z^2 + 8 a^4 b^2 c^2 x y^5 z^2 - 
 5 a^2 b^4 c^2 x y^5 z^2 + a^4 c^4 x y^5 z^2 + 
 7 a^2 b^2 c^4 x y^5 z^2 - 3 a^2 c^6 x y^5 z^2 - a^4 b^4 x^5 z^3 + 
 2 a^2 b^6 x^5 z^3 - b^8 x^5 z^3 + 2 a^2 b^4 c^2 x^5 z^3 - 
 b^4 c^4 x^5 z^3 - a^6 b^2 x^4 y z^3 + 2 a^4 b^4 x^4 y z^3 - 
 a^2 b^6 x^4 y z^3 - 3 a^4 b^2 c^2 x^4 y z^3 + 
 10 a^2 b^4 c^2 x^4 y z^3 - b^6 c^2 x^4 y z^3 + 
 9 a^2 b^2 c^4 x^4 y z^3 + 6 b^4 c^4 x^4 y z^3 - 
 5 b^2 c^6 x^4 y z^3 + 3 a^8 x^3 y^2 z^3 - 11 a^6 b^2 x^3 y^2 z^3 + 
 17 a^4 b^4 x^3 y^2 z^3 - 13 a^2 b^6 x^3 y^2 z^3 + 
 4 b^8 x^3 y^2 z^3 - 12 a^6 c^2 x^3 y^2 z^3 + 
 11 a^4 b^2 c^2 x^3 y^2 z^3 + 22 a^2 b^4 c^2 x^3 y^2 z^3 - 
 13 b^6 c^2 x^3 y^2 z^3 + 18 a^4 c^4 x^3 y^2 z^3 + 
 11 a^2 b^2 c^4 x^3 y^2 z^3 + 17 b^4 c^4 x^3 y^2 z^3 - 
 12 a^2 c^6 x^3 y^2 z^3 - 11 b^2 c^6 x^3 y^2 z^3 + 
 3 c^8 x^3 y^2 z^3 + 4 a^8 x^2 y^3 z^3 - 13 a^6 b^2 x^2 y^3 z^3 + 
 17 a^4 b^4 x^2 y^3 z^3 - 11 a^2 b^6 x^2 y^3 z^3 + 
 3 b^8 x^2 y^3 z^3 - 13 a^6 c^2 x^2 y^3 z^3 + 
 22 a^4 b^2 c^2 x^2 y^3 z^3 + 11 a^2 b^4 c^2 x^2 y^3 z^3 - 
 12 b^6 c^2 x^2 y^3 z^3 + 17 a^4 c^4 x^2 y^3 z^3 + 
 11 a^2 b^2 c^4 x^2 y^3 z^3 + 18 b^4 c^4 x^2 y^3 z^3 - 
 11 a^2 c^6 x^2 y^3 z^3 - 12 b^2 c^6 x^2 y^3 z^3 + 3 c^8 x^2 y^3 z^3 -
  a^6 b^2 x y^4 z^3 + 2 a^4 b^4 x y^4 z^3 - a^2 b^6 x y^4 z^3 - 
 a^6 c^2 x y^4 z^3 + 10 a^4 b^2 c^2 x y^4 z^3 - 
 3 a^2 b^4 c^2 x y^4 z^3 + 6 a^4 c^4 x y^4 z^3 + 
 9 a^2 b^2 c^4 x y^4 z^3 - 5 a^2 c^6 x y^4 z^3 - a^8 y^5 z^3 + 
 2 a^6 b^2 y^5 z^3 - a^4 b^4 y^5 z^3 + 2 a^4 b^2 c^2 y^5 z^3 - 
 a^4 c^4 y^5 z^3 - 2 a^4 b^4 x^4 z^4 + 2 a^2 b^6 x^4 z^4 + 
 4 a^2 b^4 c^2 x^4 z^4 + 2 b^6 c^2 x^4 z^4 - 2 b^4 c^4 x^4 z^4 - 
 5 a^6 b^2 x^3 y z^4 + 6 a^4 b^4 x^3 y z^4 - a^2 b^6 x^3 y z^4 + 
 9 a^4 b^2 c^2 x^3 y z^4 + 10 a^2 b^4 c^2 x^3 y z^4 - 
 b^6 c^2 x^3 y z^4 - 3 a^2 b^2 c^4 x^3 y z^4 + 2 b^4 c^4 x^3 y z^4 - 
 b^2 c^6 x^3 y z^4 - 8 a^6 b^2 x^2 y^2 z^4 + 16 a^4 b^4 x^2 y^2 z^4 - 
 8 a^2 b^6 x^2 y^2 z^4 - 2 a^6 c^2 x^2 y^2 z^4 + 
 14 a^4 b^2 c^2 x^2 y^2 z^4 + 14 a^2 b^4 c^2 x^2 y^2 z^4 - 
 2 b^6 c^2 x^2 y^2 z^4 + 6 a^4 c^4 x^2 y^2 z^4 + 
 6 b^4 c^4 x^2 y^2 z^4 - 6 a^2 c^6 x^2 y^2 z^4 - 
 6 b^2 c^6 x^2 y^2 z^4 + 2 c^8 x^2 y^2 z^4 - a^6 b^2 x y^3 z^4 + 
 6 a^4 b^4 x y^3 z^4 - 5 a^2 b^6 x y^3 z^4 - a^6 c^2 x y^3 z^4 + 
 10 a^4 b^2 c^2 x y^3 z^4 + 9 a^2 b^4 c^2 x y^3 z^4 + 
 2 a^4 c^4 x y^3 z^4 - 3 a^2 b^2 c^4 x y^3 z^4 - a^2 c^6 x y^3 z^4 + 
 2 a^6 b^2 y^4 z^4 - 2 a^4 b^4 y^4 z^4 + 2 a^6 c^2 y^4 z^4 + 
 4 a^4 b^2 c^2 y^4 z^4 - 2 a^4 c^4 y^4 z^4 - a^4 b^4 x^3 z^5 - 
 b^8 x^3 z^5 + 2 a^2 b^4 c^2 x^3 z^5 + 2 b^6 c^2 x^3 z^5 - 
 b^4 c^4 x^3 z^5 - 3 a^6 b^2 x^2 y z^5 + a^4 b^4 x^2 y z^5 - 
 3 a^2 b^6 x^2 y z^5 - b^8 x^2 y z^5 + 7 a^4 b^2 c^2 x^2 y z^5 + 
 8 a^2 b^4 c^2 x^2 y z^5 + 3 b^6 c^2 x^2 y z^5 - 
 5 a^2 b^2 c^4 x^2 y z^5 - 3 b^4 c^4 x^2 y z^5 + b^2 c^6 x^2 y z^5 - 
 a^8 x y^2 z^5 - 3 a^6 b^2 x y^2 z^5 + a^4 b^4 x y^2 z^5 - 
 3 a^2 b^6 x y^2 z^5 + 3 a^6 c^2 x y^2 z^5 + 
 8 a^4 b^2 c^2 x y^2 z^5 + 7 a^2 b^4 c^2 x y^2 z^5 - 
 3 a^4 c^4 x y^2 z^5 - 5 a^2 b^2 c^4 x y^2 z^5 + a^2 c^6 x y^2 z^5 - 
 a^8 y^3 z^5 - a^4 b^4 y^3 z^5 + 2 a^6 c^2 y^3 z^5 + 
 2 a^4 b^2 c^2 y^3 z^5 - a^4 c^4 y^3 z^5=0