2 a^5 c x^4 y^2+2 a^4 b c x^4 y^2-4 a^3 b^2 c x^4 y^2-4 a^2 b^3 c x^4 y^2+2 a b^4 c x^4 y^2+2 b^5 c x^4 y^2-4 a^3 c^3 x^4 y^2-4 a^2 b c^3 x^4 y^2-4 a b^2 c^3 x^4 y^2-4 b^3 c^3 x^4 y^2+2 a c^5 x^4 y^2+2 b c^5 x^4 y^2+4 a^5 c x^3 y^3+4 a^4 b c x^3 y^3-8 a^3 b^2 c x^3 y^3-8 a^2 b^3 c x^3 y^3+4 a b^4 c x^3 y^3+4 b^5 c x^3 y^3-16 a^2 b c^3 x^3 y^3-16 a b^2 c^3 x^3 y^3-4 a c^5 x^3 y^3-4 b c^5 x^3 y^3+2 a^5 c x^2 y^4+2 a^4 b c x^2 y^4-4 a^3 b^2 c x^2 y^4-4 a^2 b^3 c x^2 y^4+2 a b^4 c x^2 y^4+2 b^5 c x^2 y^4-4 a^3 c^3 x^2 y^4-4 a^2 b c^3 x^2 y^4-4 a b^2 c^3 x^2 y^4-4 b^3 c^3 x^2 y^4+2 a c^5 x^2 y^4+2 b c^5 x^2 y^4-a^6 x^4 y z+3 a^4 b^2 x^4 y z-3 a^2 b^4 x^4 y z+b^6 x^4 y z-2 a^4 b c x^4 y z-4 a^3 b^2 c x^4 y z+4 a b^4 c x^4 y z+2 b^5 c x^4 y z+3 a^4 c^2 x^4 y z-4 a^3 b c^2 x^4 y z-10 a^2 b^2 c^2 x^4 y z-4 a b^3 c^2 x^4 y z-b^4 c^2 x^4 y z-4 a b^2 c^3 x^4 y z-4 b^3 c^3 x^4 y z-3 a^2 c^4 x^4 y z+4 a b c^4 x^4 y z-b^2 c^4 x^4 y z+2 b c^5 x^4 y z+c^6 x^4 y z-a^6 x^3 y^2 z+3 a^4 b^2 x^3 y^2 z-3 a^2 b^4 x^3 y^2 z+b^6 x^3 y^2 z+2 a^5 c x^3 y^2 z-8 a^3 b^2 c x^3 y^2 z-4 a^2 b^3 c x^3 y^2 z+6 a b^4 c x^3 y^2 z+4 b^5 c x^3 y^2 z+a^4 c^2 x^3 y^2 z-12 a^3 b c^2 x^3 y^2 z-22 a^2 b^2 c^2 x^3 y^2 z-12 a b^3 c^2 x^3 y^2 z-3 b^4 c^2 x^3 y^2 z-4 a^3 c^3 x^3 y^2 z-12 a^2 b c^3 x^3 y^2 z-40 a b^2 c^3 x^3 y^2 z+a^2 c^4 x^3 y^2 z-4 a b c^4 x^3 y^2 z+3 b^2 c^4 x^3 y^2 z+2 a c^5 x^3 y^2 z-4 b c^5 x^3 y^2 z-c^6 x^3 y^2 z+a^6 x^2 y^3 z-3 a^4 b^2 x^2 y^3 z+3 a^2 b^4 x^2 y^3 z-b^6 x^2 y^3 z+4 a^5 c x^2 y^3 z+6 a^4 b c x^2 y^3 z-4 a^3 b^2 c x^2 y^3 z-8 a^2 b^3 c x^2 y^3 z+2 b^5 c x^2 y^3 z-3 a^4 c^2 x^2 y^3 z-12 a^3 b c^2 x^2 y^3 z-22 a^2 b^2 c^2 x^2 y^3 z-12 a b^3 c^2 x^2 y^3 z+b^4 c^2 x^2 y^3 z-40 a^2 b c^3 x^2 y^3 z-12 a b^2 c^3 x^2 y^3 z-4 b^3 c^3 x^2 y^3 z+3 a^2 c^4 x^2 y^3 z-4 a b c^4 x^2 y^3 z+b^2 c^4 x^2 y^3 z-4 a c^5 x^2 y^3 z+2 b c^5 x^2 y^3 z-c^6 x^2 y^3 z+a^6 x y^4 z-3 a^4 b^2 x y^4 z+3 a^2 b^4 x y^4 z-b^6 x y^4 z+2 a^5 c x y^4 z+4 a^4 b c x y^4 z-4 a^2 b^3 c x y^4 z-2 a b^4 c x y^4 z-a^4 c^2 x y^4 z-4 a^3 b c^2 x y^4 z-10 a^2 b^2 c^2 x y^4 z-4 a b^3 c^2 x y^4 z+3 b^4 c^2 x y^4 z-4 a^3 c^3 x y^4 z-4 a^2 b c^3 x y^4 z-a^2 c^4 x y^4 z+4 a b c^4 x y^4 z-3 b^2 c^4 x y^4 z+2 a c^5 x y^4 z+c^6 x y^4 z+2 a^5 b x^4 z^2-4 a^3 b^3 x^4 z^2+2 a b^5 x^4 z^2+2 a^4 b c x^4 z^2-4 a^2 b^3 c x^4 z^2+2 b^5 c x^4 z^2-4 a^3 b c^2 x^4 z^2-4 a b^3 c^2 x^4 z^2-4 a^2 b c^3 x^4 z^2-4 b^3 c^3 x^4 z^2+2 a b c^4 x^4 z^2+2 b c^5 x^4 z^2-a^6 x^3 y z^2+2 a^5 b x^3 y z^2+a^4 b^2 x^3 y z^2-4 a^3 b^3 x^3 y z^2+a^2 b^4 x^3 y z^2+2 a b^5 x^3 y z^2-b^6 x^3 y z^2-12 a^3 b^2 c x^3 y z^2-12 a^2 b^3 c x^3 y z^2-4 a b^4 c x^3 y z^2-4 b^5 c x^3 y z^2+3 a^4 c^2 x^3 y z^2-8 a^3 b c^2 x^3 y z^2-22 a^2 b^2 c^2 x^3 y z^2-40 a b^3 c^2 x^3 y z^2+3 b^4 c^2 x^3 y z^2-4 a^2 b c^3 x^3 y z^2-12 a b^2 c^3 x^3 y z^2-3 a^2 c^4 x^3 y z^2+6 a b c^4 x^3 y z^2-3 b^2 c^4 x^3 y z^2+4 b c^5 x^3 y z^2+c^6 x^3 y z^2-2 a^6 x^2 y^2 z^2+2 a^4 b^2 x^2 y^2 z^2+2 a^2 b^4 x^2 y^2 z^2-2 b^6 x^2 y^2 z^2-8 a^4 b c x^2 y^2 z^2-24 a^3 b^2 c x^2 y^2 z^2-24 a^2 b^3 c x^2 y^2 z^2-8 a b^4 c x^2 y^2 z^2+2 a^4 c^2 x^2 y^2 z^2-24 a^3 b c^2 x^2 y^2 z^2-68 a^2 b^2 c^2 x^2 y^2 z^2-24 a b^3 c^2 x^2 y^2 z^2+2 b^4 c^2 x^2 y^2 z^2-24 a^2 b c^3 x^2 y^2 z^2-24 a b^2 c^3 x^2 y^2 z^2+2 a^2 c^4 x^2 y^2 z^2-8 a b c^4 x^2 y^2 z^2+2 b^2 c^4 x^2 y^2 z^2-2 c^6 x^2 y^2 z^2-a^6 x y^3 z^2+2 a^5 b x y^3 z^2+a^4 b^2 x y^3 z^2-4 a^3 b^3 x y^3 z^2+a^2 b^4 x y^3 z^2+2 a b^5 x y^3 z^2-b^6 x y^3 z^2-4 a^5 c x y^3 z^2-4 a^4 b c x y^3 z^2-12 a^3 b^2 c x y^3 z^2-12 a^2 b^3 c x y^3 z^2+3 a^4 c^2 x y^3 z^2-40 a^3 b c^2 x y^3 z^2-22 a^2 b^2 c^2 x y^3 z^2-8 a b^3 c^2 x y^3 z^2+3 b^4 c^2 x y^3 z^2-12 a^2 b c^3 x y^3 z^2-4 a b^2 c^3 x y^3 z^2-3 a^2 c^4 x y^3 z^2+6 a b c^4 x y^3 z^2-3 b^2 c^4 x y^3 z^2+4 a c^5 x y^3 z^2+c^6 x y^3 z^2+2 a^5 b y^4 z^2-4 a^3 b^3 y^4 z^2+2 a b^5 y^4 z^2+2 a^5 c y^4 z^2-4 a^3 b^2 c y^4 z^2+2 a b^4 c y^4 z^2-4 a^3 b c^2 y^4 z^2-4 a b^3 c^2 y^4 z^2-4 a^3 c^3 y^4 z^2-4 a b^2 c^3 y^4 z^2+2 a b c^4 y^4 z^2+2 a c^5 y^4 z^2+4 a^5 b x^3 z^3-4 a b^5 x^3 z^3+4 a^4 b c x^3 z^3-16 a^2 b^3 c x^3 z^3-4 b^5 c x^3 z^3-8 a^3 b c^2 x^3 z^3-16 a b^3 c^2 x^3 z^3-8 a^2 b c^3 x^3 z^3+4 a b c^4 x^3 z^3+4 b c^5 x^3 z^3+a^6 x^2 y z^3+4 a^5 b x^2 y z^3-3 a^4 b^2 x^2 y z^3+3 a^2 b^4 x^2 y z^3-4 a b^5 x^2 y z^3-b^6 x^2 y z^3+6 a^4 b c x^2 y z^3-12 a^3 b^2 c x^2 y z^3-40 a^2 b^3 c x^2 y z^3-4 a b^4 c x^2 y z^3+2 b^5 c x^2 y z^3-3 a^4 c^2 x^2 y z^3-4 a^3 b c^2 x^2 y z^3-22 a^2 b^2 c^2 x^2 y z^3-12 a b^3 c^2 x^2 y z^3+b^4 c^2 x^2 y z^3-8 a^2 b c^3 x^2 y z^3-12 a b^2 c^3 x^2 y z^3-4 b^3 c^3 x^2 y z^3+3 a^2 c^4 x^2 y z^3+b^2 c^4 x^2 y z^3+2 b c^5 x^2 y z^3-c^6 x^2 y z^3-a^6 x y^2 z^3-4 a^5 b x y^2 z^3+3 a^4 b^2 x y^2 z^3-3 a^2 b^4 x y^2 z^3+4 a b^5 x y^2 z^3+b^6 x y^2 z^3+2 a^5 c x y^2 z^3-4 a^4 b c x y^2 z^3-40 a^3 b^2 c x y^2 z^3-12 a^2 b^3 c x y^2 z^3+6 a b^4 c x y^2 z^3+a^4 c^2 x y^2 z^3-12 a^3 b c^2 x y^2 z^3-22 a^2 b^2 c^2 x y^2 z^3-4 a b^3 c^2 x y^2 z^3-3 b^4 c^2 x y^2 z^3-4 a^3 c^3 x y^2 z^3-12 a^2 b c^3 x y^2 z^3-8 a b^2 c^3 x y^2 z^3+a^2 c^4 x y^2 z^3+3 b^2 c^4 x y^2 z^3+2 a c^5 x y^2 z^3-c^6 x y^2 z^3-4 a^5 b y^3 z^3+4 a b^5 y^3 z^3-4 a^5 c y^3 z^3-16 a^3 b^2 c y^3 z^3+4 a b^4 c y^3 z^3-16 a^3 b c^2 y^3 z^3-8 a b^3 c^2 y^3 z^3-8 a b^2 c^3 y^3 z^3+4 a b c^4 y^3 z^3+4 a c^5 y^3 z^3+2 a^5 b x^2 z^4-4 a^3 b^3 x^2 z^4+2 a b^5 x^2 z^4+2 a^4 b c x^2 z^4-4 a^2 b^3 c x^2 z^4+2 b^5 c x^2 z^4-4 a^3 b c^2 x^2 z^4-4 a b^3 c^2 x^2 z^4-4 a^2 b c^3 x^2 z^4-4 b^3 c^3 x^2 z^4+2 a b c^4 x^2 z^4+2 b c^5 x^2 z^4+a^6 x y z^4+2 a^5 b x y z^4-a^4 b^2 x y z^4-4 a^3 b^3 x y z^4-a^2 b^4 x y z^4+2 a b^5 x y z^4+b^6 x y z^4+4 a^4 b c x y z^4-4 a^3 b^2 c x y z^4-4 a^2 b^3 c x y z^4+4 a b^4 c x y z^4-3 a^4 c^2 x y z^4-10 a^2 b^2 c^2 x y z^4-3 b^4 c^2 x y z^4-4 a^2 b c^3 x y z^4-4 a b^2 c^3 x y z^4+3 a^2 c^4 x y z^4-2 a b c^4 x y z^4+3 b^2 c^4 x y z^4-c^6 x y z^4+2 a^5 b y^2 z^4-4 a^3 b^3 y^2 z^4+2 a b^5 y^2 z^4+2 a^5 c y^2 z^4-4 a^3 b^2 c y^2 z^4+2 a b^4 c y^2 z^4-4 a^3 b c^2 y^2 z^4-4 a b^3 c^2 y^2 z^4-4 a^3 c^3 y^2 z^4-4 a b^2 c^3 y^2 z^4+2 a b c^4 y^2 z^4+2 a c^5 y^2 z^4 = 0