Q109 :

2 a^4 c^4 x^5 y^3-4 a^2 b^2 c^4 x^5 y^3+2 b^4 c^4 x^5 y^3-4 a^2 c^6 x^5 y^3+4 b^2 c^6 x^5 y^3+2 c^8 x^5 y^3+4 a^4 c^4 x^4 y^4-8 a^2 b^2 c^4 x^4 y^4+4 b^4 c^4 x^4 y^4-4 c^8 x^4 y^4+2 a^4 c^4 x^3 y^5-4 a^2 b^2 c^4 x^3 y^5+2 b^4 c^4 x^3 y^5+4 a^2 c^6 x^3 y^5-4 b^2 c^6 x^3 y^5+2 c^8 x^3 y^5+a^8 x^5 y^2 z-4 a^6 b^2 x^5 y^2 z+6 a^4 b^4 x^5 y^2 z-4 a^2 b^6 x^5 y^2 z+b^8 x^5 y^2 z-6 a^6 c^2 x^5 y^2 z+16 a^4 b^2 c^2 x^5 y^2 z-14 a^2 b^4 c^2 x^5 y^2 z+4 b^6 c^2 x^5 y^2 z+12 a^4 c^4 x^5 y^2 z-20 a^2 b^2 c^4 x^5 y^2 z+8 b^4 c^4 x^5 y^2 z-10 a^2 c^6 x^5 y^2 z+8 b^2 c^6 x^5 y^2 z+3 c^8 x^5 y^2 z+3 a^8 x^4 y^3 z-12 a^6 b^2 x^4 y^3 z+18 a^4 b^4 x^4 y^3 z-12 a^2 b^6 x^4 y^3 z+3 b^8 x^4 y^3 z-8 a^6 c^2 x^4 y^3 z+18 a^4 b^2 c^2 x^4 y^3 z-12 a^2 b^4 c^2 x^4 y^3 z+2 b^6 c^2 x^4 y^3 z+4 a^4 c^4 x^4 y^3 z-4 a^2 b^2 c^4 x^4 y^3 z+4 a^2 c^6 x^4 y^3 z-2 b^2 c^6 x^4 y^3 z-3 c^8 x^4 y^3 z+3 a^8 x^3 y^4 z-12 a^6 b^2 x^3 y^4 z+18 a^4 b^4 x^3 y^4 z-12 a^2 b^6 x^3 y^4 z+3 b^8 x^3 y^4 z+2 a^6 c^2 x^3 y^4 z-12 a^4 b^2 c^2 x^3 y^4 z+18 a^2 b^4 c^2 x^3 y^4 z-8 b^6 c^2 x^3 y^4 z-4 a^2 b^2 c^4 x^3 y^4 z+4 b^4 c^4 x^3 y^4 z-2 a^2 c^6 x^3 y^4 z+4 b^2 c^6 x^3 y^4 z-3 c^8 x^3 y^4 z+a^8 x^2 y^5 z-4 a^6 b^2 x^2 y^5 z+6 a^4 b^4 x^2 y^5 z-4 a^2 b^6 x^2 y^5 z+b^8 x^2 y^5 z+4 a^6 c^2 x^2 y^5 z-14 a^4 b^2 c^2 x^2 y^5 z+16 a^2 b^4 c^2 x^2 y^5 z-6 b^6 c^2 x^2 y^5 z+8 a^4 c^4 x^2 y^5 z-20 a^2 b^2 c^4 x^2 y^5 z+12 b^4 c^4 x^2 y^5 z+8 a^2 c^6 x^2 y^5 z-10 b^2 c^6 x^2 y^5 z+3 c^8 x^2 y^5 z+a^8 x^5 y z^2-6 a^6 b^2 x^5 y z^2+12 a^4 b^4 x^5 y z^2-10 a^2 b^6 x^5 y z^2+3 b^8 x^5 y z^2-4 a^6 c^2 x^5 y z^2+16 a^4 b^2 c^2 x^5 y z^2-20 a^2 b^4 c^2 x^5 y z^2+8 b^6 c^2 x^5 y z^2+6 a^4 c^4 x^5 y z^2-14 a^2 b^2 c^4 x^5 y z^2+8 b^4 c^4 x^5 y z^2-4 a^2 c^6 x^5 y z^2+4 b^2 c^6 x^5 y z^2+c^8 x^5 y z^2-4 a^6 b^2 x^4 y^2 z^2+12 a^4 b^4 x^4 y^2 z^2-12 a^2 b^6 x^4 y^2 z^2+4 b^8 x^4 y^2 z^2-4 a^6 c^2 x^4 y^2 z^2+8 a^4 b^2 c^2 x^4 y^2 z^2-4 a^2 b^4 c^2 x^4 y^2 z^2+12 a^4 c^4 x^4 y^2 z^2-4 a^2 b^2 c^4 x^4 y^2 z^2-8 b^4 c^4 x^4 y^2 z^2-12 a^2 c^6 x^4 y^2 z^2+4 c^8 x^4 y^2 z^2-8 a^6 c^2 x^3 y^3 z^2+8 a^4 b^2 c^2 x^3 y^3 z^2+8 a^2 b^4 c^2 x^3 y^3 z^2-8 b^6 c^2 x^3 y^3 z^2+8 a^4 c^4 x^3 y^3 z^2-16 a^2 b^2 c^4 x^3 y^3 z^2+8 b^4 c^4 x^3 y^3 z^2+8 a^2 c^6 x^3 y^3 z^2+8 b^2 c^6 x^3 y^3 z^2-8 c^8 x^3 y^3 z^2+4 a^8 x^2 y^4 z^2-12 a^6 b^2 x^2 y^4 z^2+12 a^4 b^4 x^2 y^4 z^2-4 a^2 b^6 x^2 y^4 z^2-4 a^4 b^2 c^2 x^2 y^4 z^2+8 a^2 b^4 c^2 x^2 y^4 z^2-4 b^6 c^2 x^2 y^4 z^2-8 a^4 c^4 x^2 y^4 z^2-4 a^2 b^2 c^4 x^2 y^4 z^2+12 b^4 c^4 x^2 y^4 z^2-12 b^2 c^6 x^2 y^4 z^2+4 c^8 x^2 y^4 z^2+3 a^8 x y^5 z^2-10 a^6 b^2 x y^5 z^2+12 a^4 b^4 x y^5 z^2-6 a^2 b^6 x y^5 z^2+b^8 x y^5 z^2+8 a^6 c^2 x y^5 z^2-20 a^4 b^2 c^2 x y^5 z^2+16 a^2 b^4 c^2 x y^5 z^2-4 b^6 c^2 x y^5 z^2+8 a^4 c^4 x y^5 z^2-14 a^2 b^2 c^4 x y^5 z^2+6 b^4 c^4 x y^5 z^2+4 a^2 c^6 x y^5 z^2-4 b^2 c^6 x y^5 z^2+c^8 x y^5 z^2+2 a^4 b^4 x^5 z^3-4 a^2 b^6 x^5 z^3+2 b^8 x^5 z^3-4 a^2 b^4 c^2 x^5 z^3+4 b^6 c^2 x^5 z^3+2 b^4 c^4 x^5 z^3+3 a^8 x^4 y z^3-8 a^6 b^2 x^4 y z^3+4 a^4 b^4 x^4 y z^3+4 a^2 b^6 x^4 y z^3-3 b^8 x^4 y z^3-12 a^6 c^2 x^4 y z^3+18 a^4 b^2 c^2 x^4 y z^3-4 a^2 b^4 c^2 x^4 y z^3-2 b^6 c^2 x^4 y z^3+18 a^4 c^4 x^4 y z^3-12 a^2 b^2 c^4 x^4 y z^3-12 a^2 c^6 x^4 y z^3+2 b^2 c^6 x^4 y z^3+3 c^8 x^4 y z^3-8 a^6 b^2 x^3 y^2 z^3+8 a^4 b^4 x^3 y^2 z^3+8 a^2 b^6 x^3 y^2 z^3-8 b^8 x^3 y^2 z^3+8 a^4 b^2 c^2 x^3 y^2 z^3-16 a^2 b^4 c^2 x^3 y^2 z^3+8 b^6 c^2 x^3 y^2 z^3+8 a^2 b^2 c^4 x^3 y^2 z^3+8 b^4 c^4 x^3 y^2 z^3-8 b^2 c^6 x^3 y^2 z^3-8 a^8 x^2 y^3 z^3+8 a^6 b^2 x^2 y^3 z^3+8 a^4 b^4 x^2 y^3 z^3-8 a^2 b^6 x^2 y^3 z^3+8 a^6 c^2 x^2 y^3 z^3-16 a^4 b^2 c^2 x^2 y^3 z^3+8 a^2 b^4 c^2 x^2 y^3 z^3+8 a^4 c^4 x^2 y^3 z^3+8 a^2 b^2 c^4 x^2 y^3 z^3-8 a^2 c^6 x^2 y^3 z^3-3 a^8 x y^4 z^3+4 a^6 b^2 x y^4 z^3+4 a^4 b^4 x y^4 z^3-8 a^2 b^6 x y^4 z^3+3 b^8 x y^4 z^3-2 a^6 c^2 x y^4 z^3-4 a^4 b^2 c^2 x y^4 z^3+18 a^2 b^4 c^2 x y^4 z^3-12 b^6 c^2 x y^4 z^3-12 a^2 b^2 c^4 x y^4 z^3+18 b^4 c^4 x y^4 z^3+2 a^2 c^6 x y^4 z^3-12 b^2 c^6 x y^4 z^3+3 c^8 x y^4 z^3+2 a^8 y^5 z^3-4 a^6 b^2 y^5 z^3+2 a^4 b^4 y^5 z^3+4 a^6 c^2 y^5 z^3-4 a^4 b^2 c^2 y^5 z^3+2 a^4 c^4 y^5 z^3+4 a^4 b^4 x^4 z^4-4 b^8 x^4 z^4-8 a^2 b^4 c^2 x^4 z^4+4 b^4 c^4 x^4 z^4+3 a^8 x^3 y z^4+2 a^6 b^2 x^3 y z^4-2 a^2 b^6 x^3 y z^4-3 b^8 x^3 y z^4-12 a^6 c^2 x^3 y z^4-12 a^4 b^2 c^2 x^3 y z^4-4 a^2 b^4 c^2 x^3 y z^4+4 b^6 c^2 x^3 y z^4+18 a^4 c^4 x^3 y z^4+18 a^2 b^2 c^4 x^3 y z^4+4 b^4 c^4 x^3 y z^4-12 a^2 c^6 x^3 y z^4-8 b^2 c^6 x^3 y z^4+3 c^8 x^3 y z^4+4 a^8 x^2 y^2 z^4-8 a^4 b^4 x^2 y^2 z^4+4 b^8 x^2 y^2 z^4-12 a^6 c^2 x^2 y^2 z^4-4 a^4 b^2 c^2 x^2 y^2 z^4-4 a^2 b^4 c^2 x^2 y^2 z^4-12 b^6 c^2 x^2 y^2 z^4+12 a^4 c^4 x^2 y^2 z^4+8 a^2 b^2 c^4 x^2 y^2 z^4+12 b^4 c^4 x^2 y^2 z^4-4 a^2 c^6 x^2 y^2 z^4-4 b^2 c^6 x^2 y^2 z^4-3 a^8 x y^3 z^4-2 a^6 b^2 x y^3 z^4+2 a^2 b^6 x y^3 z^4+3 b^8 x y^3 z^4+4 a^6 c^2 x y^3 z^4-4 a^4 b^2 c^2 x y^3 z^4-12 a^2 b^4 c^2 x y^3 z^4-12 b^6 c^2 x y^3 z^4+4 a^4 c^4 x y^3 z^4+18 a^2 b^2 c^4 x y^3 z^4+18 b^4 c^4 x y^3 z^4-8 a^2 c^6 x y^3 z^4-12 b^2 c^6 x y^3 z^4+3 c^8 x y^3 z^4-4 a^8 y^4 z^4+4 a^4 b^4 y^4 z^4-8 a^4 b^2 c^2 y^4 z^4+4 a^4 c^4 y^4 z^4+2 a^4 b^4 x^3 z^5+4 a^2 b^6 x^3 z^5+2 b^8 x^3 z^5-4 a^2 b^4 c^2 x^3 z^5-4 b^6 c^2 x^3 z^5+2 b^4 c^4 x^3 z^5+a^8 x^2 y z^5+4 a^6 b^2 x^2 y z^5+8 a^4 b^4 x^2 y z^5+8 a^2 b^6 x^2 y z^5+3 b^8 x^2 y z^5-4 a^6 c^2 x^2 y z^5-14 a^4 b^2 c^2 x^2 y z^5-20 a^2 b^4 c^2 x^2 y z^5-10 b^6 c^2 x^2 y z^5+6 a^4 c^4 x^2 y z^5+16 a^2 b^2 c^4 x^2 y z^5+12 b^4 c^4 x^2 y z^5-4 a^2 c^6 x^2 y z^5-6 b^2 c^6 x^2 y z^5+c^8 x^2 y z^5+3 a^8 x y^2 z^5+8 a^6 b^2 x y^2 z^5+8 a^4 b^4 x y^2 z^5+4 a^2 b^6 x y^2 z^5+b^8 x y^2 z^5-10 a^6 c^2 x y^2 z^5-20 a^4 b^2 c^2 x y^2 z^5-14 a^2 b^4 c^2 x y^2 z^5-4 b^6 c^2 x y^2 z^5+12 a^4 c^4 x y^2 z^5+16 a^2 b^2 c^4 x y^2 z^5+6 b^4 c^4 x y^2 z^5-6 a^2 c^6 x y^2 z^5-4 b^2 c^6 x y^2 z^5+c^8 x y^2 z^5+2 a^8 y^3 z^5+4 a^6 b^2 y^3 z^5+2 a^4 b^4 y^3 z^5-4 a^6 c^2 y^3 z^5-4 a^4 b^2 c^2 y^3 z^5+2 a^4 c^4 y^3 z^5=0