K509 :
a^4*b^2*x^3 - 2*a^2*b^4*x^3 + b^6*x^3 - a^4*c^2*x^3 + 2*a^2*c^4*x^3 -   c^6*x^3 + a^6*x^2*y - 3*a^4*b^2*x^2*y + 2*a^2*b^4*x^2*y - a^4*c^2*x^2*y +   6*a^2*b^2*c^2*x^2*y - 3*b^4*c^2*x^2*y -   3*a^2*c^4*x^2*y - b^2*c^4*x^2*y + 2*c^6*x^2*y - 2*a^4*b^2*x*y^2 +   3*a^2*b^4*x*y^2 - b^6*x*y^2 + 3*a^4*c^2*x*y^2 - 6*a^2*b^2*c^2*x*y^2 +   b^4*c^2*x*y^2 + a^2*c^4*x*y^2 + 3*b^2*c^4*x*y^2 -   2*c^6*x*y^2 - a^6*y^3 + 2*a^4*b^2*y^3 - a^2*b^4*y^3 + b^4*c^2*y^3 -   2*b^2*c^4*y^3 + c^6*y^3 - a^6*x^2*z + a^4*b^2*x^2*z + 3*a^2*b^4*x^2*z -   2*b^6*x^2*z + 3*a^4*c^2*x^2*z -   6*a^2*b^2*c^2*x^2*z + b^4*c^2*x^2*z - 2*a^2*c^4*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 +   2*a^6*y^2*z - 3*a^4*b^2*y^2*z - a^2*b^4*y^2*z + b^6*y^2*z -   a^4*c^2*y^2*z + 6*a^2*b^2*c^2*y^2*z - 3*b^4*c^2*y^2*z - 3*a^2*c^4*y^2*z +   2*b^2*c^4*y^2*z - 3*a^4*b^2*x*z^2 - a^2*b^4*x*z^2 +   2*b^6*x*z^2 + 2*a^4*c^2*x*z^2 + 6*a^2*b^2*c^2*x*z^2 -   3*b^4*c^2*x*z^2 - 3*a^2*c^4*x*z^2 - b^2*c^4*x*z^2 + c^6*x*z^2 -   2*a^6*y*z^2 + a^4*b^2*y*z^2 + 3*a^2*b^4*y*z^2 + 3*a^4*c^2*y*z^2 -   6*a^2*b^2*c^2*y*z^2 - 2*b^4*c^2*y*z^2 + a^2*c^4*y*z^2 +   3*b^2*c^4*y*z^2 - c^6*y*z^2 + a^6*z^3 - b^6*z^3 - 2*a^4*c^2*z^3 +   2*b^4*c^2*z^3 + a^2*c^4*z^3 - b^2*c^4*z^3 = 0