K459 :
a^8*b^4*x^3 - 2*a^6*b^6*x^3 + a^4*b^8*x^3 - 2*a^8*b^2*c^2*x^3 + 2*a^6*b^4*c^2*x^3 - 6*a^4*b^6*c^2*x^3 + 6*a^2*b^8*c^2*x^3 - 4*b^10*c^2*x^3 + a^8*c^4*x^3 + 2*a^6*b^2*c^4*x^3 + 10*a^4*b^4*c^4*x^3 - 6*a^2*b^6*c^4*x^3 + 9*b^8*c^4*x^3 - 2*a^6*c^6*x^3 - 6*a^4*b^2*c^6*x^3 - 6*a^2*b^4*c^6*x^3 - 10*b^6*c^6*x^3 + a^4*c^8*x^3 + 6*a^2*b^2*c^8*x^3 + 9*b^4*c^8*x^3 - 4*b^2*c^10*x^3 - a^8*b^4*x^2*y + 2*a^6*b^6*x^2*y - a^4*b^8*x^2*y + 2*a^8*b^2*c^2*x^2*y - 6*a^6*b^4*c^2*x^2*y + 10*a^4*b^6*c^2*x^2*y - 6*a^2*b^8*c^2*x^2*y + 4*b^10*c^2*x^2*y - a^8*c^4*x^2*y - 2*a^6*b^2*c^4*x^2*y - 2*a^4*b^4*c^4*x^2*y - 2*a^2*b^6*c^4*x^2*y - 9*b^8*c^4*x^2*y + 6*a^6*c^6*x^2*y + 2*a^4*b^2*c^6*x^2*y + 2*a^2*b^4*c^6*x^2*y + 14*b^6*c^6*x^2*y - 9*a^4*c^8*x^2*y + 2*a^2*b^2*c^8*x^2*y - 9*b^4*c^8*x^2*y + 4*a^2*c^10*x^2*y - a^8*b^4*x*y^2 + 2*a^6*b^6*x*y^2 - a^4*b^8*x*y^2 + 4*a^10*c^2*x*y^2 - 6*a^8*b^2*c^2*x*y^2 + 10*a^6*b^4*c^2*x*y^2 - 6*a^4*b^6*c^2*x*y^2 + 2*a^2*b^8*c^2*x*y^2 - 9*a^8*c^4*x*y^2 - 2*a^6*b^2*c^4*x*y^2 - 2*a^4*b^4*c^4*x*y^2 - 2*a^2*b^6*c^4*x*y^2 - b^8*c^4*x*y^2 + 14*a^6*c^6*x*y^2 + 2*a^4*b^2*c^6*x*y^2 + 2*a^2*b^4*c^6*x*y^2 + 6*b^6*c^6*x*y^2 - 9*a^4*c^8*x*y^2 + 2*a^2*b^2*c^8*x*y^2 - 9*b^4*c^8*x*y^2 + 4*b^2*c^10*x*y^2 + a^8*b^4*y^3 - 2*a^6*b^6*y^3 + a^4*b^8*y^3 - 4*a^10*c^2*y^3 + 6*a^8*b^2*c^2*y^3 - 6*a^6*b^4*c^2*y^3 + 2*a^4*b^6*c^2*y^3 - 2*a^2*b^8*c^2*y^3 + 9*a^8*c^4*y^3 - 6*a^6*b^2*c^4*y^3 + 10*a^4*b^4*c^4*y^3 + 2*a^2*b^6*c^4*y^3 + b^8*c^4*y^3 - 10*a^6*c^6*y^3 - 6*a^4*b^2*c^6*y^3 - 6*a^2*b^4*c^6*y^3 - 2*b^6*c^6*y^3 + 9*a^4*c^8*y^3 + 6*a^2*b^2*c^8*y^3 + b^4*c^8*y^3 - 4*a^2*c^10*y^3 - a^8*b^4*x^2*z + 6*a^6*b^6*x^2*z - 9*a^4*b^8*x^2*z + 4*a^2*b^10*x^2*z + 2*a^8*b^2*c^2*x^2*z - 2*a^6*b^4*c^2*x^2*z + 2*a^4*b^6*c^2*x^2*z + 2*a^2*b^8*c^2*x^2*z - a^8*c^4*x^2*z - 6*a^6*b^2*c^4*x^2*z - 2*a^4*b^4*c^4*x^2*z + 2*a^2*b^6*c^4*x^2*z - 9*b^8*c^4*x^2*z + 2*a^6*c^6*x^2*z + 10*a^4*b^2*c^6*x^2*z - 2*a^2*b^4*c^6*x^2*z + 14*b^6*c^6*x^2*z - a^4*c^8*x^2*z - 6*a^2*b^2*c^8*x^2*z - 9*b^4*c^8*x^2*z + 4*b^2*c^10*x^2*z - 4*a^10*b^2*x*y*z + 10*a^8*b^4*x*y*z - 12*a^6*b^6*x*y*z + 10*a^4*b^8*x*y*z - 4*a^2*b^10*x*y*z - 4*a^10*c^2*x*y*z + 12*a^8*b^2*c^2*x*y*z - 12*a^6*b^4*c^2*x*y*z - 12*a^4*b^6*c^2*x*y*z + 12*a^2*b^8*c^2*x*y*z - 4*b^10*c^2*x*y*z + 10*a^8*c^4*x*y*z - 12*a^6*b^2*c^4*x*y*z + 36*a^4*b^4*c^4*x*y*z - 12*a^2*b^6*c^4*x*y*z + 10*b^8*c^4*x*y*z - 12*a^6*c^6*x*y*z - 12*a^4*b^2*c^6*x*y*z - 12*a^2*b^4*c^6*x*y*z - 12*b^6*c^6*x*y*z + 10*a^4*c^8*x*y*z + 12*a^2*b^2*c^8*x*y*z + 10*b^4*c^8*x*y*z - 4*a^2*c^10*x*y*z - 4*b^2*c^10*x*y*z + 4*a^10*b^2*y^2*z - 9*a^8*b^4*y^2*z + 6*a^6*b^6*y^2*z - a^4*b^8*y^2*z + 2*a^8*b^2*c^2*y^2*z + 2*a^6*b^4*c^2*y^2*z - 2*a^4*b^6*c^2*y^2*z + 2*a^2*b^8*c^2*y^2*z - 9*a^8*c^4*y^2*z + 2*a^6*b^2*c^4*y^2*z - 2*a^4*b^4*c^4*y^2*z - 6*a^2*b^6*c^4*y^2*z - b^8*c^4*y^2*z + 14*a^6*c^6*y^2*z - 2*a^4*b^2*c^6*y^2*z + 10*a^2*b^4*c^6*y^2*z + 2*b^6*c^6*y^2*z - 9*a^4*c^8*y^2*z - 6*a^2*b^2*c^8*y^2*z - b^4*c^8*y^2*z + 4*a^2*c^10*y^2*z + 4*a^10*b^2*x*z^2 - 9*a^8*b^4*x*z^2 + 14*a^6*b^6*x*z^2 - 9*a^4*b^8*x*z^2 - 6*a^8*b^2*c^2*x*z^2 - 2*a^6*b^4*c^2*x*z^2 + 2*a^4*b^6*c^2*x*z^2 + 2*a^2*b^8*c^2*x*z^2 + 4*b^10*c^2*x*z^2 - a^8*c^4*x*z^2 + 10*a^6*b^2*c^4*x*z^2 - 2*a^4*b^4*c^4*x*z^2 + 2*a^2*b^6*c^4*x*z^2 - 9*b^8*c^4*x*z^2 + 2*a^6*c^6*x*z^2 - 6*a^4*b^2*c^6*x*z^2 - 2*a^2*b^4*c^6*x*z^2 + 6*b^6*c^6*x*z^2 - a^4*c^8*x*z^2 + 2*a^2*b^2*c^8*x*z^2 - b^4*c^8*x*z^2 - 9*a^8*b^4*y*z^2 + 14*a^6*b^6*y*z^2 - 9*a^4*b^8*y*z^2 + 4*a^2*b^10*y*z^2 + 4*a^10*c^2*y*z^2 + 2*a^8*b^2*c^2*y*z^2 + 2*a^6*b^4*c^2*y*z^2 - 2*a^4*b^6*c^2*y*z^2 - 6*a^2*b^8*c^2*y*z^2 - 9*a^8*c^4*y*z^2 + 2*a^6*b^2*c^4*y*z^2 - 2*a^4*b^4*c^4*y*z^2 + 10*a^2*b^6*c^4*y*z^2 - b^8*c^4*y*z^2 + 6*a^6*c^6*y*z^2 - 2*a^4*b^2*c^6*y*z^2 - 6*a^2*b^4*c^6*y*z^2 + 2*b^6*c^6*y*z^2 - a^4*c^8*y*z^2 + 2*a^2*b^2*c^8*y*z^2 - b^4*c^8*y*z^2 - 4*a^10*b^2*z^3 + 9*a^8*b^4*z^3 - 10*a^6*b^6*z^3 + 9*a^4*b^8*z^3 - 4*a^2*b^10*z^3 + 6*a^8*b^2*c^2*z^3 - 6*a^6*b^4*c^2*z^3 - 6*a^4*b^6*c^2*z^3 + 6*a^2*b^8*c^2*z^3 + a^8*c^4*z^3 - 6*a^6*b^2*c^4*z^3 + 10*a^4*b^4*c^4*z^3 - 6*a^2*b^6*c^4*z^3 + b^8*c^4*z^3 - 2*a^6*c^6*z^3 + 2*a^4*b^2*c^6*z^3 + 2*a^2*b^4*c^6*z^3 - 2*b^6*c^6*z^3 + a^4*c^8*z^3 - 2*a^2*b^2*c^8*z^3 + b^4*c^8*z^3 = 0