K575 :
a^6*x^2*y - 3*a^4*b^2*x^2*y + 3*a^2*b^4*x^2*y - b^6*x^2*y - 4*a^5*c*x^2*y + 2*a^4*b*c*x^2*y + 8*a^3*b^2*c*x^2*y - 4*a^2*b^3*c*x^2*y - 4*a*b^4*c*x^2*y + 2*b^5*c*x^2*y + 5*a^4*c^2*x^2*y - 5*a^3*b*c^2*x^2*y - 6*a^2*b^2*c^2*x^2*y + 5*a*b^3*c^2*x^2*y + b^4*c^2*x^2*y - a^3*c^3*x^2*y + 6*a^2*b*c^3*x^2*y - 3*b^3*c^3*x^2*y - 4*a^2*c^4*x^2*y - 4*a*b*c^4*x^2*y + 2*b^2*c^4*x^2*y + 5*a*c^5*x^2*y + b*c^5*x^2*y - 2*c^6*x^2*y + a^6*x*y^2 - 3*a^4*b^2*x*y^2 + 3*a^2*b^4*x*y^2 - b^6*x*y^2 - 2*a^5*c*x*y^2 + 4*a^4*b*c*x*y^2 + 4*a^3*b^2*c*x*y^2 - 8*a^2*b^3*c*x*y^2 - 2*a*b^4*c*x*y^2 + 4*b^5*c*x*y^2 - a^4*c^2*x*y^2 - 5*a^3*b*c^2*x*y^2 + 6*a^2*b^2*c^2*x*y^2 + 5*a*b^3*c^2*x*y^2 - 5*b^4*c^2*x*y^2 + 3*a^3*c^3*x*y^2 - 6*a*b^2*c^3*x*y^2 + b^3*c^3*x*y^2 - 2*a^2*c^4*x*y^2 + 4*a*b*c^4*x*y^2 + 4*b^2*c^4*x*y^2 - a*c^5*x*y^2 - 5*b*c^5*x*y^2 + 2*c^6*x*y^2 - a^6*x^2*z + 4*a^5*b*x^2*z - 5*a^4*b^2*x^2*z + a^3*b^3*x^2*z + 4*a^2*b^4*x^2*z - 5*a*b^5*x^2*z + 2*b^6*x^2*z - 2*a^4*b*c*x^2*z + 5*a^3*b^2*c*x^2*z - 6*a^2*b^3*c*x^2*z + 4*a*b^4*c*x^2*z - b^5*c*x^2*z + 3*a^4*c^2*x^2*z - 8*a^3*b*c^2*x^2*z + 6*a^2*b^2*c^2*x^2*z - 2*b^4*c^2*x^2*z + 4*a^2*b*c^3*x^2*z - 5*a*b^2*c^3*x^2*z + 3*b^3*c^3*x^2*z - 3*a^2*c^4*x^2*z + 4*a*b*c^4*x^2*z - b^2*c^4*x^2*z - 2*b*c^5*x^2*z + c^6*x^2*z + 9*a^5*b*x*y*z - 18*a^4*b^2*x*y*z + 18*a^2*b^4*x*y*z - 9*a*b^5*x*y*z - 9*a^5*c*x*y*z + 27*a^3*b^2*c*x*y*z - 27*a^2*b^3*c*x*y*z + 9*b^5*c*x*y*z + 18*a^4*c^2*x*y*z - 27*a^3*b*c^2*x*y*z + 27*a*b^3*c^2*x*y*z - 18*b^4*c^2*x*y*z + 27*a^2*b*c^3*x*y*z - 27*a*b^2*c^3*x*y*z - 18*a^2*c^4*x*y*z + 18*b^2*c^4*x*y*z + 9*a*c^5*x*y*z - 9*b*c^5*x*y*z - 2*a^6*y^2*z + 5*a^5*b*y^2*z - 4*a^4*b^2*y^2*z - a^3*b^3*y^2*z + 5*a^2*b^4*y^2*z - 4*a*b^5*y^2*z + b^6*y^2*z + a^5*c*y^2*z - 4*a^4*b*c*y^2*z + 6*a^3*b^2*c*y^2*z - 5*a^2*b^3*c*y^2*z + 2*a*b^4*c*y^2*z + 2*a^4*c^2*y^2*z - 6*a^2*b^2*c^2*y^2*z + 8*a*b^3*c^2*y^2*z - 3*b^4*c^2*y^2*z - 3*a^3*c^3*y^2*z + 5*a^2*b*c^3*y^2*z - 4*a*b^2*c^3*y^2*z + a^2*c^4*y^2*z - 4*a*b*c^4*y^2*z + 3*b^2*c^4*y^2*z + 2*a*c^5*y^2*z - c^6*y^2*z - a^6*x*z^2 + 2*a^5*b*x*z^2 + a^4*b^2*x*z^2 - 3*a^3*b^3*x*z^2 + 2*a^2*b^4*x*z^2 + a*b^5*x*z^2 - 2*b^6*x*z^2 - 4*a^4*b*c*x*z^2 + 5*a^3*b^2*c*x*z^2 - 4*a*b^4*c*x*z^2 + 5*b^5*c*x*z^2 + 3*a^4*c^2*x*z^2 - 4*a^3*b*c^2*x*z^2 - 6*a^2*b^2*c^2*x*z^2 + 6*a*b^3*c^2*x*z^2 - 4*b^4*c^2*x*z^2 + 8*a^2*b*c^3*x*z^2 - 5*a*b^2*c^3*x*z^2 - b^3*c^3*x*z^2 - 3*a^2*c^4*x*z^2 + 2*a*b*c^4*x*z^2 + 5*b^2*c^4*x*z^2 - 4*b*c^5*x*z^2 + c^6*x*z^2 + 2*a^6*y*z^2 - a^5*b*y*z^2 - 2*a^4*b^2*y*z^2 + 3*a^3*b^3*y*z^2 - a^2*b^4*y*z^2 - 2*a*b^5*y*z^2 + b^6*y*z^2 - 5*a^5*c*y*z^2 + 4*a^4*b*c*y*z^2 - 5*a^2*b^3*c*y*z^2 + 4*a*b^4*c*y*z^2 + 4*a^4*c^2*y*z^2 - 6*a^3*b*c^2*y*z^2 + 6*a^2*b^2*c^2*y*z^2 + 4*a*b^3*c^2*y*z^2 - 3*b^4*c^2*y*z^2 + a^3*c^3*y*z^2 + 5*a^2*b*c^3*y*z^2 - 8*a*b^2*c^3*y*z^2 - 5*a^2*c^4*y*z^2 - 2*a*b*c^4*y*z^2 + 3*b^2*c^4*y*z^2 + 4*a*c^5*y*z^2 - c^6*y*z^2 = 0