K462 :

a^6*x^3 + 6*a^4*b^2*x^3 + 9*a^2*b^4*x^3 + 6*a^4*c^2*x^3 - 18*a^2*b^2*c^2*x^3 + 9*a^2*c^4*x^3 + 6*a^6*x^2*y + 21*a^4*b^2*x^2*y + 12*a^2*b^4*x^2*y + 9*b^6*x^2*y + 15*a^4*c^2*x^2*y - 60*a^2*b^2*c^2*x^2*y + 9*b^4*c^2*x^2*y - 45*b^2*c^4*x^2*y + 27*c^6*x^2*y + 9*a^6*x*y^2 + 12*a^4*b^2*x*y^2 + 21*a^2*b^4*x*y^2 + 6*b^6*x*y^2 + 9*a^4*c^2*x*y^2 - 60*a^2*b^2*c^2*x*y^2 + 15*b^4*c^2*x*y^2 - 45*a^2*c^4*x*y^2 + 27*c^6*x*y^2 + 9*a^4*b^2*y^3 + 6*a^2*b^4*y^3 + b^6*y^3 - 18*a^2*b^2*c^2*y^3 + 6*b^4*c^2*y^3 + 9*b^2*c^4*y^3 + 6*a^6*x^2*z + 15*a^4*b^2*x^2*z + 27*b^6*x^2*z + 21*a^4*c^2*x^2*z - 60*a^2*b^2*c^2*x^2*z - 45*b^4*c^2*x^2*z + 12*a^2*c^4*x^2*z + 9*b^2*c^4*x^2*z + 9*c^6*x^2*z + 27*a^6*x*y*z + 21*a^4*b^2*x*y*z + 21*a^2*b^4*x*y*z + 27*b^6*x*y*z + 21*a^4*c^2*x*y*z - 210*a^2*b^2*c^2*x*y*z + 21*b^4*c^2*x*y*z + 21*a^2*c^4*x*y*z + 21*b^2*c^4*x*y*z + 27*c^6*x*y*z + 27*a^6*y^2*z + 15*a^2*b^4*y^2*z + 6*b^6*y^2*z - 45*a^4*c^2*y^2*z - 60*a^2*b^2*c^2*y^2*z + 21*b^4*c^2*y^2*z + 9*a^2*c^4*y^2*z + 12*b^2*c^4*y^2*z + 9*c^6*y^2*z + 9*a^6*x*z^2 + 9*a^4*b^2*x*z^2 - 45*a^2*b^4*x*z^2 + 27*b^6*x*z^2 + 12*a^4*c^2*x*z^2 - 60*a^2*b^2*c^2*x*z^2 + 21*a^2*c^4*x*z^2 + 15*b^2*c^4*x*z^2 + 6*c^6*x*z^2 + 27*a^6*y*z^2 - 45*a^4*b^2*y*z^2 + 9*a^2*b^4*y*z^2 + 9*b^6*y*z^2 - 60*a^2*b^2*c^2*y*z^2 + 12*b^4*c^2*y*z^2 + 15*a^2*c^4*y*z^2 + 21*b^2*c^4*y*z^2 + 6*c^6*y*z^2 + 9*a^4*c^2*z^3 - 18*a^2*b^2*c^2*z^3 + 9*b^4*c^2*z^3 + 6*a^2*c^4*z^3 + 6*b^2*c^4*z^3 + c^6*z^3 = 0