K569 :
a^4*c^2*x^2*y - 2*a^2*b^2*c^2*x^2*y + b^4*c^2*x^2*y - 3*a^2*c^4*x^2*y -   3*b^2*c^4*x^2*y + 2*c^6*x^2*y - a^4*c^2*x*y^2 + 2*a^2*b^2*c^2*x*y^2 -   b^4*c^2*x*y^2 + 3*a^2*c^4*x*y^2 + 3*b^2*c^4*x*y^2 -   2*c^6*x*y^2 - a^4*b^2*x^2*z + 3*a^2*b^4*x^2*z - 2*b^6*x^2*z +   2*a^2*b^2*c^2*x^2*z + 3*b^4*c^2*x^2*z - b^2*c^4*x^2*z + 2*a^4*b^2*x*y*z -   2*a^2*b^4*x*y*z - 2*a^4*c^2*x*y*z + 2*b^4*c^2*x*y*z +   2*a^2*c^4*x*y*z - 2*b^2*c^4*x*y*z + 2*a^6*y^2*z - 3*a^4*b^2*y^2*z +   a^2*b^4*y^2*z - 3*a^4*c^2*y^2*z - 2*a^2*b^2*c^2*y^2*z + a^2*c^4*y^2*z +   a^4*b^2*x*z^2 - 3*a^2*b^4*x*z^2 + 2*b^6*x*z^2 -   2*a^2*b^2*c^2*x*z^2 - 3*b^4*c^2*x*z^2 + b^2*c^4*x*z^2 - 2*a^6*y*z^2 +   3*a^4*b^2*y*z^2 - a^2*b^4*y*z^2 + 3*a^4*c^2*y*z^2 + 2*a^2*b^2*c^2*y*z^2 -   a^2*c^4*y*z^2 = 0