a^2 b^2 c^4 x^4 y^2-b^4 c^4 x^4 y^2-2 a b^2 c^5 x^4 y^2+b^2 c^6 x^4 y^2+a^4 c^4 x^3 y^3-b^4 c^4 x^3 y^3-a^3 c^5 x^3 y^3+a^2 b c^5 x^3 y^3-a b^2 c^5 x^3 y^3+b^3 c^5 x^3 y^3-a^2 c^6 x^3 y^3+b^2 c^6 x^3 y^3+a c^7 x^3 y^3-b c^7 x^3 y^3+a^4 c^4 x^2 y^4-a^2 b^2 c^4 x^2 y^4+2 a^2 b c^5 x^2 y^4-a^2 c^6 x^2 y^4-a^3 b^3 c^2 x^4 y z+a^2 b^4 c^2 x^4 y z+a b^5 c^2 x^4 y z-b^6 c^2 x^4 y z+a^3 b^2 c^3 x^4 y z-a b^4 c^3 x^4 y z-a^2 b^2 c^4 x^4 y z+a b^3 c^4 x^4 y z-a b^2 c^5 x^4 y z+b^2 c^6 x^4 y z-a^5 b c^2 x^3 y^2 z+2 a^4 b^2 c^2 x^3 y^2 z-a^3 b^3 c^2 x^3 y^2 z-a^2 b^4 c^2 x^3 y^2 z+2 a b^5 c^2 x^3 y^2 z-b^6 c^2 x^3 y^2 z-a^4 b c^3 x^3 y^2 z-2 a^3 b^2 c^3 x^3 y^2 z-a^2 b^3 c^3 x^3 y^2 z+2 a b^4 c^3 x^3 y^2 z+2 b^5 c^3 x^3 y^2 z+2 a^3 b c^4 x^3 y^2 z-a b^3 c^4 x^3 y^2 z-b^4 c^4 x^3 y^2 z+2 a^2 b c^5 x^3 y^2 z-2 a b^2 c^5 x^3 y^2 z-b^3 c^5 x^3 y^2 z-a b c^6 x^3 y^2 z+2 b^2 c^6 x^3 y^2 z-b c^7 x^3 y^2 z+a^6 c^2 x^2 y^3 z-2 a^5 b c^2 x^2 y^3 z+a^4 b^2 c^2 x^2 y^3 z+a^3 b^3 c^2 x^2 y^3 z-2 a^2 b^4 c^2 x^2 y^3 z+a b^5 c^2 x^2 y^3 z-2 a^5 c^3 x^2 y^3 z-2 a^4 b c^3 x^2 y^3 z+a^3 b^2 c^3 x^2 y^3 z+2 a^2 b^3 c^3 x^2 y^3 z+a b^4 c^3 x^2 y^3 z+a^4 c^4 x^2 y^3 z+a^3 b c^4 x^2 y^3 z-2 a b^3 c^4 x^2 y^3 z+a^3 c^5 x^2 y^3 z+2 a^2 b c^5 x^2 y^3 z-2 a b^2 c^5 x^2 y^3 z-2 a^2 c^6 x^2 y^3 z+a b c^6 x^2 y^3 z+a c^7 x^2 y^3 z+a^6 c^2 x y^4 z-a^5 b c^2 x y^4 z-a^4 b^2 c^2 x y^4 z+a^3 b^3 c^2 x y^4 z+a^4 b c^3 x y^4 z-a^2 b^3 c^3 x y^4 z-a^3 b c^4 x y^4 z+a^2 b^2 c^4 x y^4 z+a^2 b c^5 x y^4 z-a^2 c^6 x y^4 z-a^2 b^4 c^2 x^4 z^2+2 a b^5 c^2 x^4 z^2-b^6 c^2 x^4 z^2+b^4 c^4 x^4 z^2+a^5 b^2 c x^3 y z^2+a^4 b^3 c x^3 y z^2-2 a^3 b^4 c x^3 y z^2-2 a^2 b^5 c x^3 y z^2+a b^6 c x^3 y z^2+b^7 c x^3 y z^2-2 a^4 b^2 c^2 x^3 y z^2+2 a^3 b^3 c^2 x^3 y z^2+2 a b^5 c^2 x^3 y z^2-2 b^6 c^2 x^3 y z^2+a^3 b^2 c^3 x^3 y z^2+a^2 b^3 c^3 x^3 y z^2+a b^4 c^3 x^3 y z^2+b^5 c^3 x^3 y z^2+a^2 b^2 c^4 x^3 y z^2-2 a b^3 c^4 x^3 y z^2+b^4 c^4 x^3 y z^2-2 a b^2 c^5 x^3 y z^2-2 b^3 c^5 x^3 y z^2+b^2 c^6 x^3 y z^2-a^7 c x y^3 z^2-a^6 b c x y^3 z^2+2 a^5 b^2 c x y^3 z^2+2 a^4 b^3 c x y^3 z^2-a^3 b^4 c x y^3 z^2-a^2 b^5 c x y^3 z^2+2 a^6 c^2 x y^3 z^2-2 a^5 b c^2 x y^3 z^2-2 a^3 b^3 c^2 x y^3 z^2+2 a^2 b^4 c^2 x y^3 z^2-a^5 c^3 x y^3 z^2-a^4 b c^3 x y^3 z^2-a^3 b^2 c^3 x y^3 z^2-a^2 b^3 c^3 x y^3 z^2-a^4 c^4 x y^3 z^2+2 a^3 b c^4 x y^3 z^2-a^2 b^2 c^4 x y^3 z^2+2 a^3 c^5 x y^3 z^2+2 a^2 b c^5 x y^3 z^2-a^2 c^6 x y^3 z^2+a^6 c^2 y^4 z^2-2 a^5 b c^2 y^4 z^2+a^4 b^2 c^2 y^4 z^2-a^4 c^4 y^4 z^2-a^4 b^4 x^3 z^3+a^3 b^5 x^3 z^3+a^2 b^6 x^3 z^3-a b^7 x^3 z^3-a^2 b^5 c x^3 z^3+b^7 c x^3 z^3+a b^5 c^2 x^3 z^3-b^6 c^2 x^3 z^3-b^5 c^3 x^3 z^3+b^4 c^4 x^3 z^3-a^6 b^2 x^2 y z^3+2 a^5 b^3 x^2 y z^3-a^4 b^4 x^2 y z^3-a^3 b^5 x^2 y z^3+2 a^2 b^6 x^2 y z^3-a b^7 x^2 y z^3+2 a^5 b^2 c x^2 y z^3+2 a^4 b^3 c x^2 y z^3-a^3 b^4 c x^2 y z^3-2 a^2 b^5 c x^2 y z^3-a b^6 c x^2 y z^3-a^4 b^2 c^2 x^2 y z^3-a^3 b^3 c^2 x^2 y z^3+2 a b^5 c^2 x^2 y z^3-a^3 b^2 c^3 x^2 y z^3-2 a^2 b^3 c^3 x^2 y z^3+2 a b^4 c^3 x^2 y z^3+2 a^2 b^2 c^4 x^2 y z^3-a b^3 c^4 x^2 y z^3-a b^2 c^5 x^2 y z^3+a^7 b x y^2 z^3-2 a^6 b^2 x y^2 z^3+a^5 b^3 x y^2 z^3+a^4 b^4 x y^2 z^3-2 a^3 b^5 x y^2 z^3+a^2 b^6 x y^2 z^3+a^6 b c x y^2 z^3+2 a^5 b^2 c x y^2 z^3+a^4 b^3 c x y^2 z^3-2 a^3 b^4 c x y^2 z^3-2 a^2 b^5 c x y^2 z^3-2 a^5 b c^2 x y^2 z^3+a^3 b^3 c^2 x y^2 z^3+a^2 b^4 c^2 x y^2 z^3-2 a^4 b c^3 x y^2 z^3+2 a^3 b^2 c^3 x y^2 z^3+a^2 b^3 c^3 x y^2 z^3+a^3 b c^4 x y^2 z^3-2 a^2 b^2 c^4 x y^2 z^3+a^2 b c^5 x y^2 z^3+a^7 b y^3 z^3-a^6 b^2 y^3 z^3-a^5 b^3 y^3 z^3+a^4 b^4 y^3 z^3-a^7 c y^3 z^3+a^5 b^2 c y^3 z^3+a^6 c^2 y^3 z^3-a^5 b c^2 y^3 z^3+a^5 c^3 y^3 z^3-a^4 c^4 y^3 z^3-a^4 b^4 x^2 z^4+a^2 b^6 x^2 z^4-2 a^2 b^5 c x^2 z^4+a^2 b^4 c^2 x^2 z^4-a^6 b^2 x y z^4+a^2 b^6 x y z^4+a^5 b^2 c x y z^4-a^4 b^3 c x y z^4+a^3 b^4 c x y z^4-a^2 b^5 c x y z^4+a^4 b^2 c^2 x y z^4-a^2 b^4 c^2 x y z^4-a^3 b^2 c^3 x y z^4+a^2 b^3 c^3 x y z^4-a^6 b^2 y^2 z^4+a^4 b^4 y^2 z^4+2 a^5 b^2 c y^2 z^4-a^4 b^2 c^2 y^2 z^4 = 0.