K566 :
-2*a^4*c^2*x^2*y - a^2*b^2*c^2*x^2*y + 3*b^4*c^2*x^2*y + a^2*c^4*x^2*y -  4*b^2*c^4*x^2*y + c^6*x^2*y - 3*a^4*c^2*x*y^2 + a^2*b^2*c^2*x*y^2 +  2*b^4*c^2*x*y^2 + 4*a^2*c^4*x*y^2 - b^2*c^4*x*y^2 - c^6*x*y^2 +  2*a^4*b^2*x^2*z - a^2*b^4*x^2*z - b^6*x^2*z + a^2*b^2*c^2*x^2*z +  4*b^4*c^2*x^2*z - 3*b^2*c^4*x^2*z + 6*a^4*b^2*x*y*z - 6*a^2*b^4*x*y*z -  6*a^4*c^2*x*y*z + 6*b^4*c^2*x*y*z + 6*a^2*c^4*x*y*z -  6*b^2*c^4*x*y*z + a^6*y^2*z + a^4*b^2*y^2*z - 2*a^2*b^4*y^2*z -  4*a^4*c^2*y^2*z - a^2*b^2*c^2*y^2*z + 3*a^2*c^4*y^2*z + 3*a^4*b^2*x*z^2 -  4*a^2*b^4*x*z^2 + b^6*x*z^2 - a^2*b^2*c^2*x*z^2 +  b^4*c^2*x*z^2 - 2*b^2*c^4*x*z^2 - a^6*y*z^2 + 4*a^4*b^2*y*z^2 -  3*a^2*b^4*y*z^2 - a^4*c^2*y*z^2 + a^2*b^2*c^2*y*z^2 + 2*a^2*c^4*y*z^2 =  0