K1000 :a^6 x^2 y-b^6 x^2 y-a^2 b^2 c^2 x^2 y+c^6 x^2 y+a^6 x y^2-b^6 x y^2+a^2 b^2 c^2 x y^2-c^6 x y^2-a^6 x^2 z-b^6 x^2 z+a^2 b^2 c^2 x^2 z+c^6 x^2 z+a^6 y^2 z+b^6 y^2 z-a^2 b^2 c^2 y^2 z-c^6 y^2 z-a^6 x z^2+b^6 x z^2-a^2 b^2 c^2 x z^2+c^6 x z^2-a^6 y z^2+b^6 y z^2+a^2 b^2 c^2 y z^2-c^6 y z^2= 0