K557 :
a^12*x^2*y - 6*a^10*b^2*x^2*y + 15*a^8*b^4*x^2*y - 20*a^6*b^6*x^2*y +   15*a^4*b^8*x^2*y - 6*a^2*b^10*x^2*y + b^12*x^2*y - 3*a^8*c^4*x^2*y +   9*a^6*b^2*c^4*x^2*y - 12*a^4*b^4*c^4*x^2*y +   9*a^2*b^6*c^4*x^2*y - 3*b^8*c^4*x^2*y + a^6*c^6*x^2*y + b^6*c^6*x^2*y -   6*a^2*b^2*c^8*x^2*y + 3*a^2*c^10*x^2*y + 3*b^2*c^10*x^2*y - 2*c^12*x^2*y -   a^12*x*y^2 + 6*a^10*b^2*x*y^2 -   15*a^8*b^4*x*y^2 + 20*a^6*b^6*x*y^2 - 15*a^4*b^8*x*y^2 +   6*a^2*b^10*x*y^2 - b^12*x*y^2 + 3*a^8*c^4*x*y^2 - 9*a^6*b^2*c^4*x*y^2 +   12*a^4*b^4*c^4*x*y^2 - 9*a^2*b^6*c^4*x*y^2 + 3*b^8*c^4*x*y^2 -   a^6*c^6*x*y^2 - b^6*c^6*x*y^2 + 6*a^2*b^2*c^8*x*y^2 - 3*a^2*c^10*x*y^2 -   3*b^2*c^10*x*y^2 + 2*c^12*x*y^2 - a^12*x^2*z + 3*a^8*b^4*x^2*z -   a^6*b^6*x^2*z - 3*a^2*b^10*x^2*z + 2*b^12*x^2*z +   6*a^10*c^2*x^2*z - 9*a^6*b^4*c^2*x^2*z + 6*a^2*b^8*c^2*x^2*z -   3*b^10*c^2*x^2*z - 15*a^8*c^4*x^2*z + 12*a^4*b^4*c^4*x^2*z +   20*a^6*c^6*x^2*z - 9*a^2*b^4*c^6*x^2*z - b^6*c^6*x^2*z -   15*a^4*c^8*x^2*z + 3*b^4*c^8*x^2*z + 6*a^2*c^10*x^2*z - c^12*x^2*z -   9*a^10*b^2*x*y*z + 18*a^8*b^4*x*y*z - 18*a^4*b^8*x*y*z + 9*a^2*b^10*x*y*z +   9*a^10*c^2*x*y*z - 27*a^6*b^4*c^2*x*y*z +   27*a^4*b^6*c^2*x*y*z - 9*b^10*c^2*x*y*z - 18*a^8*c^4*x*y*z +   27*a^6*b^2*c^4*x*y*z - 27*a^2*b^6*c^4*x*y*z + 18*b^8*c^4*x*y*z -   27*a^4*b^2*c^6*x*y*z + 27*a^2*b^4*c^6*x*y*z + 18*a^4*c^8*x*y*z -   18*b^4*c^8*x*y*z - 9*a^2*c^10*x*y*z + 9*b^2*c^10*x*y*z - 2*a^12*y^2*z +   3*a^10*b^2*y^2*z + a^6*b^6*y^2*z - 3*a^4*b^8*y^2*z + b^12*y^2*z +   3*a^10*c^2*y^2*z - 6*a^8*b^2*c^2*y^2*z +   9*a^4*b^6*c^2*y^2*z - 6*b^10*c^2*y^2*z - 12*a^4*b^4*c^4*y^2*z +   15*b^8*c^4*y^2*z + a^6*c^6*y^2*z + 9*a^4*b^2*c^6*y^2*z - 20*b^6*c^6*y^2*z -   3*a^4*c^8*y^2*z + 15*b^4*c^8*y^2*z - 6*b^2*c^10*y^2*z +   c^12*y^2*z + a^12*x*z^2 - 3*a^8*b^4*x*z^2 + a^6*b^6*x*z^2 +   3*a^2*b^10*x*z^2 - 2*b^12*x*z^2 - 6*a^10*c^2*x*z^2 + 9*a^6*b^4*c^2*x*z^2 -   6*a^2*b^8*c^2*x*z^2 + 3*b^10*c^2*x*z^2 + 15*a^8*c^4*x*z^2 -   12*a^4*b^4*c^4*x*z^2 - 20*a^6*c^6*x*z^2 + 9*a^2*b^4*c^6*x*z^2 +   b^6*c^6*x*z^2 + 15*a^4*c^8*x*z^2 - 3*b^4*c^8*x*z^2 - 6*a^2*c^10*x*z^2 +   c^12*x*z^2 + 2*a^12*y*z^2 - 3*a^10*b^2*y*z^2 -   a^6*b^6*y*z^2 + 3*a^4*b^8*y*z^2 - b^12*y*z^2 - 3*a^10*c^2*y*z^2 +   6*a^8*b^2*c^2*y*z^2 - 9*a^4*b^6*c^2*y*z^2 + 6*b^10*c^2*y*z^2 +   12*a^4*b^4*c^4*y*z^2 - 15*b^8*c^4*y*z^2 - a^6*c^6*y*z^2 -   9*a^4*b^2*c^6*y*z^2 + 20*b^6*c^6*y*z^2 + 3*a^4*c^8*y*z^2 -   15*b^4*c^8*y*z^2 + 6*b^2*c^10*y*z^2 - c^12*y*z^2 = 0