u^3 v w^2 x^4 y-u^2 v^2 w^2 x^4 y-u v^3 w^2 x^4 y+v^4 w^2 x^4 y-u^2 v w^3 x^4 y+2 u v^2 w^3 x^4 y-v^3 w^3 x^4 y-u v w^4 x^4 y-v^2 w^4 x^4 y+v w^5 x^4 y-u^4 w^2 x^3 y^2+4 u^3 v w^2 x^3 y^2+2 u^2 v^2 w^2 x^3 y^2+3 v^4 w^2 x^3 y^2-8 u^2 v w^3 x^3 y^2-4 v^3 w^3 x^3 y^2+2 u^2 w^4 x^3 y^2-2 v^2 w^4 x^3 y^2+4 v w^5 x^3 y^2-w^6 x^3 y^2-3 u^4 w^2 x^2 y^3-2 u^2 v^2 w^2 x^2 y^3-4 u v^3 w^2 x^2 y^3+v^4 w^2 x^2 y^3+4 u^3 w^3 x^2 y^3+8 u v^2 w^3 x^2 y^3+2 u^2 w^4 x^2 y^3-2 v^2 w^4 x^2 y^3-4 u w^5 x^2 y^3+w^6 x^2 y^3-u^4 w^2 x y^4+u^3 v w^2 x y^4+u^2 v^2 w^2 x y^4-u v^3 w^2 x y^4+u^3 w^3 x y^4-2 u^2 v w^3 x y^4+u v^2 w^3 x y^4+u^2 w^4 x y^4+u v w^4 x y^4-u w^5 x y^4-u^3 v^2 w x^4 z+u^2 v^3 w x^4 z+u v^4 w x^4 z-v^5 w x^4 z+u^2 v^2 w^2 x^4 z-2 u v^3 w^2 x^4 z+v^4 w^2 x^4 z+u v^2 w^3 x^4 z+v^3 w^3 x^4 z-v^2 w^4 x^4 z+4 u^2 v^3 w x^3 y z-4 v^5 w x^3 y z+8 v^4 w^2 x^3 y z-4 u^2 v w^3 x^3 y z-8 v^2 w^4 x^3 y z+4 v w^5 x^3 y z+u^5 w x^2 y^2 z-5 u^4 v w x^2 y^2 z-6 u^3 v^2 w x^2 y^2 z+6 u^2 v^3 w x^2 y^2 z+5 u v^4 w x^2 y^2 z-v^5 w x^2 y^2 z+12 u^3 v w^2 x^2 y^2 z-12 u v^3 w^2 x^2 y^2 z-2 u^3 w^3 x^2 y^2 z-6 u^2 v w^3 x^2 y^2 z+6 u v^2 w^3 x^2 y^2 z+2 v^3 w^3 x^2 y^2 z+u w^5 x^2 y^2 z-v w^5 x^2 y^2 z+4 u^5 w x y^3 z-4 u^3 v^2 w x y^3 z-8 u^4 w^2 x y^3 z+4 u v^2 w^3 x y^3 z+8 u^2 w^4 x y^3 z-4 u w^5 x y^3 z+u^5 w y^4 z-u^4 v w y^4 z-u^3 v^2 w y^4 z+u^2 v^3 w y^4 z-u^4 w^2 y^4 z+2 u^3 v w^2 y^4 z-u^2 v^2 w^2 y^4 z-u^3 w^3 y^4 z-u^2 v w^3 y^4 z+u^2 w^4 y^4 z+u^4 v^2 x^3 z^2-2 u^2 v^4 x^3 z^2+v^6 x^3 z^2-4 u^3 v^2 w x^3 z^2+8 u^2 v^3 w x^3 z^2-4 v^5 w x^3 z^2-2 u^2 v^2 w^2 x^3 z^2+2 v^4 w^2 x^3 z^2+4 v^3 w^3 x^3 z^2-3 v^2 w^4 x^3 z^2-u^5 v x^2 y z^2+2 u^3 v^3 x^2 y z^2-u v^5 x^2 y z^2+5 u^4 v w x^2 y z^2-12 u^3 v^2 w x^2 y z^2+6 u^2 v^3 w x^2 y z^2+v^5 w x^2 y z^2+6 u^3 v w^2 x^2 y z^2-6 u v^3 w^2 x^2 y z^2-6 u^2 v w^3 x^2 y z^2+12 u v^2 w^3 x^2 y z^2-2 v^3 w^3 x^2 y z^2-5 u v w^4 x^2 y z^2+v w^5 x^2 y z^2+u^5 v x y^2 z^2-2 u^3 v^3 x y^2 z^2+u v^5 x y^2 z^2-u^5 w x y^2 z^2-6 u^3 v^2 w x y^2 z^2+12 u^2 v^3 w x y^2 z^2-5 u v^4 w x y^2 z^2+6 u^3 v w^2 x y^2 z^2-6 u v^3 w^2 x y^2 z^2+2 u^3 w^3 x y^2 z^2-12 u^2 v w^3 x y^2 z^2+6 u v^2 w^3 x y^2 z^2+5 u v w^4 x y^2 z^2-u w^5 x y^2 z^2-u^6 y^3 z^2+2 u^4 v^2 y^3 z^2-u^2 v^4 y^3 z^2+4 u^5 w y^3 z^2-8 u^3 v^2 w y^3 z^2+4 u^2 v^3 w y^3 z^2-2 u^4 w^2 y^3 z^2+2 u^2 v^2 w^2 y^3 z^2-4 u^3 w^3 y^3 z^2+3 u^2 w^4 y^3 z^2+3 u^4 v^2 x^2 z^3-4 u^3 v^3 x^2 z^3-2 u^2 v^4 x^2 z^3+4 u v^5 x^2 z^3-v^6 x^2 z^3+2 u^2 v^2 w^2 x^2 z^3-8 u v^3 w^2 x^2 z^3+2 v^4 w^2 x^2 z^3+4 u v^2 w^3 x^2 z^3-v^2 w^4 x^2 z^3-4 u^5 v x y z^3+8 u^4 v^2 x y z^3-8 u^2 v^4 x y z^3+4 u v^5 x y z^3+4 u^3 v w^2 x y z^3-4 u v^3 w^2 x y z^3+u^6 y^2 z^3-4 u^5 v y^2 z^3+2 u^4 v^2 y^2 z^3+4 u^3 v^3 y^2 z^3-3 u^2 v^4 y^2 z^3-2 u^4 w^2 y^2 z^3+8 u^3 v w^2 y^2 z^3-2 u^2 v^2 w^2 y^2 z^3-4 u^2 v w^3 y^2 z^3+u^2 w^4 y^2 z^3+u^4 v^2 x z^4-u^3 v^3 x z^4-u^2 v^4 x z^4+u v^5 x z^4-u^3 v^2 w x z^4+2 u^2 v^3 w x z^4-u v^4 w x z^4-u^2 v^2 w^2 x z^4-u v^3 w^2 x z^4+u v^2 w^3 x z^4-u^5 v y z^4+u^4 v^2 y z^4+u^3 v^3 y z^4-u^2 v^4 y z^4+u^4 v w y z^4-2 u^3 v^2 w y z^4+u^2 v^3 w y z^4+u^3 v w^2 y z^4+u^2 v^2 w^2 y z^4-u^2 v w^3 y z^4 = 0