a^6 x^5 y^2 - 3 a^4 b^2 x^5 y^2 + 3 a^2 b^4 x^5 y^2 - b^6 x^5 y^2 - 
 2 a^4 c^2 x^5 y^2 + a^2 b^2 c^2 x^5 y^2 + b^4 c^2 x^5 y^2 - 
 b^2 c^4 x^5 y^2 + c^6 x^5 y^2 + 3 a^6 x^4 y^3 - 9 a^4 b^2 x^4 y^3 + 
 9 a^2 b^4 x^4 y^3 - 3 b^6 x^4 y^3 - 5 a^4 c^2 x^4 y^3 + 
 a^2 b^2 c^2 x^4 y^3 + 4 b^4 c^2 x^4 y^3 + 2 a^2 c^4 x^4 y^3 - 
 3 b^2 c^4 x^4 y^3 - 2 c^6 x^4 y^3 + 3 a^6 x^3 y^4 - 
 9 a^4 b^2 x^3 y^4 + 9 a^2 b^4 x^3 y^4 - 3 b^6 x^3 y^4 - 
 4 a^4 c^2 x^3 y^4 - a^2 b^2 c^2 x^3 y^4 + 5 b^4 c^2 x^3 y^4 + 
 3 a^2 c^4 x^3 y^4 - 2 b^2 c^4 x^3 y^4 + 2 c^6 x^3 y^4 + 
 a^6 x^2 y^5 - 3 a^4 b^2 x^2 y^5 + 3 a^2 b^4 x^2 y^5 - b^6 x^2 y^5 - 
 a^4 c^2 x^2 y^5 - a^2 b^2 c^2 x^2 y^5 + 2 b^4 c^2 x^2 y^5 + 
 a^2 c^4 x^2 y^5 - c^6 x^2 y^5 - 2 a^4 b^2 x^5 y z + 
 4 a^2 b^4 x^5 y z - 2 b^6 x^5 y z + 2 a^4 c^2 x^5 y z + 
 2 b^4 c^2 x^5 y z - 4 a^2 c^4 x^5 y z - 2 b^2 c^4 x^5 y z + 
 2 c^6 x^5 y z + 2 a^6 x^4 y^2 z - 10 a^4 b^2 x^4 y^2 z + 
 14 a^2 b^4 x^4 y^2 z - 6 b^6 x^4 y^2 z - 3 a^4 c^2 x^4 y^2 z - 
 2 a^2 b^2 c^2 x^4 y^2 z + 13 b^4 c^2 x^4 y^2 z - 
 12 b^2 c^4 x^4 y^2 z + c^6 x^4 y^2 z + 6 a^6 x^3 y^3 z - 
 18 a^4 b^2 x^3 y^3 z + 18 a^2 b^4 x^3 y^3 z - 6 b^6 x^3 y^3 z - 
 16 a^4 c^2 x^3 y^3 z + 16 b^4 c^2 x^3 y^3 z + 6 a^2 c^4 x^3 y^3 z - 
 6 b^2 c^4 x^3 y^3 z + 6 a^6 x^2 y^4 z - 14 a^4 b^2 x^2 y^4 z + 
 10 a^2 b^4 x^2 y^4 z - 2 b^6 x^2 y^4 z - 13 a^4 c^2 x^2 y^4 z + 
 2 a^2 b^2 c^2 x^2 y^4 z + 3 b^4 c^2 x^2 y^4 z + 
 12 a^2 c^4 x^2 y^4 z - c^6 x^2 y^4 z + 2 a^6 x y^5 z - 
 4 a^4 b^2 x y^5 z + 2 a^2 b^4 x y^5 z - 2 a^4 c^2 x y^5 z - 
 2 b^4 c^2 x y^5 z + 2 a^2 c^4 x y^5 z + 4 b^2 c^4 x y^5 z - 
 2 c^6 x y^5 z - a^6 x^5 z^2 + 2 a^4 b^2 x^5 z^2 - b^6 x^5 z^2 + 
 3 a^4 c^2 x^5 z^2 - a^2 b^2 c^2 x^5 z^2 + b^4 c^2 x^5 z^2 - 
 3 a^2 c^4 x^5 z^2 - b^2 c^4 x^5 z^2 + c^6 x^5 z^2 - 
 2 a^6 x^4 y z^2 + 3 a^4 b^2 x^4 y z^2 - b^6 x^4 y z^2 + 
 10 a^4 c^2 x^4 y z^2 + 2 a^2 b^2 c^2 x^4 y z^2 + 
 12 b^4 c^2 x^4 y z^2 - 14 a^2 c^4 x^4 y z^2 - 13 b^2 c^4 x^4 y z^2 + 
 6 c^6 x^4 y z^2 - 6 a^4 b^2 x^3 y^2 z^2 + 7 a^2 b^4 x^3 y^2 z^2 - 
 b^6 x^3 y^2 z^2 + 6 a^4 c^2 x^3 y^2 z^2 + 15 b^4 c^2 x^3 y^2 z^2 - 
 7 a^2 c^4 x^3 y^2 z^2 - 15 b^2 c^4 x^3 y^2 z^2 + c^6 x^3 y^2 z^2 + 
 a^6 x^2 y^3 z^2 - 7 a^4 b^2 x^2 y^3 z^2 + 6 a^2 b^4 x^2 y^3 z^2 - 
 15 a^4 c^2 x^2 y^3 z^2 - 6 b^4 c^2 x^2 y^3 z^2 + 
 15 a^2 c^4 x^2 y^3 z^2 + 7 b^2 c^4 x^2 y^3 z^2 - c^6 x^2 y^3 z^2 + 
 a^6 x y^4 z^2 - 3 a^2 b^4 x y^4 z^2 + 2 b^6 x y^4 z^2 - 
 12 a^4 c^2 x y^4 z^2 - 2 a^2 b^2 c^2 x y^4 z^2 - 
 10 b^4 c^2 x y^4 z^2 + 13 a^2 c^4 x y^4 z^2 + 14 b^2 c^4 x y^4 z^2 - 
 6 c^6 x y^4 z^2 + a^6 y^5 z^2 - 2 a^2 b^4 y^5 z^2 + b^6 y^5 z^2 - 
 a^4 c^2 y^5 z^2 + a^2 b^2 c^2 y^5 z^2 - 3 b^4 c^2 y^5 z^2 + 
 a^2 c^4 y^5 z^2 + 3 b^2 c^4 y^5 z^2 - c^6 y^5 z^2 - 3 a^6 x^4 z^3 + 
 5 a^4 b^2 x^4 z^3 - 2 a^2 b^4 x^4 z^3 + 2 b^6 x^4 z^3 + 
 9 a^4 c^2 x^4 z^3 - a^2 b^2 c^2 x^4 z^3 + 3 b^4 c^2 x^4 z^3 - 
 9 a^2 c^4 x^4 z^3 - 4 b^2 c^4 x^4 z^3 + 3 c^6 x^4 z^3 - 
 6 a^6 x^3 y z^3 + 16 a^4 b^2 x^3 y z^3 - 6 a^2 b^4 x^3 y z^3 + 
 18 a^4 c^2 x^3 y z^3 + 6 b^4 c^2 x^3 y z^3 - 18 a^2 c^4 x^3 y z^3 - 
 16 b^2 c^4 x^3 y z^3 + 6 c^6 x^3 y z^3 - a^6 x^2 y^2 z^3 + 
 15 a^4 b^2 x^2 y^2 z^3 - 15 a^2 b^4 x^2 y^2 z^3 + b^6 x^2 y^2 z^3 + 
 7 a^4 c^2 x^2 y^2 z^3 - 7 b^4 c^2 x^2 y^2 z^3 - 
 6 a^2 c^4 x^2 y^2 z^3 + 6 b^2 c^4 x^2 y^2 z^3 + 
 6 a^4 b^2 x y^3 z^3 - 16 a^2 b^4 x y^3 z^3 + 6 b^6 x y^3 z^3 - 
 6 a^4 c^2 x y^3 z^3 - 18 b^4 c^2 x y^3 z^3 + 16 a^2 c^4 x y^3 z^3 + 
 18 b^2 c^4 x y^3 z^3 - 6 c^6 x y^3 z^3 - 2 a^6 y^4 z^3 + 
 2 a^4 b^2 y^4 z^3 - 5 a^2 b^4 y^4 z^3 + 3 b^6 y^4 z^3 - 
 3 a^4 c^2 y^4 z^3 + a^2 b^2 c^2 y^4 z^3 - 9 b^4 c^2 y^4 z^3 + 
 4 a^2 c^4 y^4 z^3 + 9 b^2 c^4 y^4 z^3 - 3 c^6 y^4 z^3 - 
 3 a^6 x^3 z^4 + 4 a^4 b^2 x^3 z^4 - 3 a^2 b^4 x^3 z^4 - 
 2 b^6 x^3 z^4 + 9 a^4 c^2 x^3 z^4 + a^2 b^2 c^2 x^3 z^4 + 
 2 b^4 c^2 x^3 z^4 - 9 a^2 c^4 x^3 z^4 - 5 b^2 c^4 x^3 z^4 + 
 3 c^6 x^3 z^4 - 6 a^6 x^2 y z^4 + 13 a^4 b^2 x^2 y z^4 - 
 12 a^2 b^4 x^2 y z^4 + b^6 x^2 y z^4 + 14 a^4 c^2 x^2 y z^4 - 
 2 a^2 b^2 c^2 x^2 y z^4 - 10 a^2 c^4 x^2 y z^4 - 
 3 b^2 c^4 x^2 y z^4 + 2 c^6 x^2 y z^4 - a^6 x y^2 z^4 + 
 12 a^4 b^2 x y^2 z^4 - 13 a^2 b^4 x y^2 z^4 + 6 b^6 x y^2 z^4 + 
 2 a^2 b^2 c^2 x y^2 z^4 - 14 b^4 c^2 x y^2 z^4 + 
 3 a^2 c^4 x y^2 z^4 + 10 b^2 c^4 x y^2 z^4 - 2 c^6 x y^2 z^4 + 
 2 a^6 y^3 z^4 + 3 a^4 b^2 y^3 z^4 - 4 a^2 b^4 y^3 z^4 + 
 3 b^6 y^3 z^4 - 2 a^4 c^2 y^3 z^4 - a^2 b^2 c^2 y^3 z^4 - 
 9 b^4 c^2 y^3 z^4 + 5 a^2 c^4 y^3 z^4 + 9 b^2 c^4 y^3 z^4 - 
 3 c^6 y^3 z^4 - a^6 x^2 z^5 + a^4 b^2 x^2 z^5 - a^2 b^4 x^2 z^5 + 
 b^6 x^2 z^5 + 3 a^4 c^2 x^2 z^5 + a^2 b^2 c^2 x^2 z^5 - 
 3 a^2 c^4 x^2 z^5 - 2 b^2 c^4 x^2 z^5 + c^6 x^2 z^5 - 
 2 a^6 x y z^5 + 2 a^4 b^2 x y z^5 - 2 a^2 b^4 x y z^5 + 
 2 b^6 x y z^5 + 4 a^4 c^2 x y z^5 - 4 b^4 c^2 x y z^5 - 
 2 a^2 c^4 x y z^5 + 2 b^2 c^4 x y z^5 - a^6 y^2 z^5 + 
 a^4 b^2 y^2 z^5 - a^2 b^4 y^2 z^5 + b^6 y^2 z^5 - 
 a^2 b^2 c^2 y^2 z^5 - 3 b^4 c^2 y^2 z^5 + 2 a^2 c^4 y^2 z^5 + 
 3 b^2 c^4 y^2 z^5 - c^6 y^2 z^5=0