K564 :
2*a^12*c^2*x^2*y - 3*a^10*b^2*c^2*x^2*y - 6*a^8*b^4*c^2*x^2*y +   14*a^6*b^6*c^2*x^2*y - 6*a^4*b^8*c^2*x^2*y - 3*a^2*b^10*c^2*x^2*y +   2*b^12*c^2*x^2*y - 3*a^10*c^4*x^2*y + 18*a^8*b^2*c^4*x^2*y -   15*a^6*b^4*c^4*x^2*y - 15*a^4*b^6*c^4*x^2*y + 18*a^2*b^8*c^4*x^2*y -   3*b^10*c^4*x^2*y - 6*a^8*c^6*x^2*y - 15*a^6*b^2*c^6*x^2*y +   42*a^4*b^4*c^6*x^2*y - 15*a^2*b^6*c^6*x^2*y -   6*b^8*c^6*x^2*y + 14*a^6*c^8*x^2*y - 15*a^4*b^2*c^8*x^2*y -   15*a^2*b^4*c^8*x^2*y + 14*b^6*c^8*x^2*y - 6*a^4*c^10*x^2*y +   18*a^2*b^2*c^10*x^2*y - 6*b^4*c^10*x^2*y - 3*a^2*c^12*x^2*y -   3*b^2*c^12*x^2*y + 2*c^14*x^2*y - 2*a^12*c^2*x*y^2 +   3*a^10*b^2*c^2*x*y^2 + 6*a^8*b^4*c^2*x*y^2 - 14*a^6*b^6*c^2*x*y^2 +   6*a^4*b^8*c^2*x*y^2 + 3*a^2*b^10*c^2*x*y^2 - 2*b^12*c^2*x*y^2 +   3*a^10*c^4*x*y^2 - 18*a^8*b^2*c^4*x*y^2 + 15*a^6*b^4*c^4*x*y^2 +   15*a^4*b^6*c^4*x*y^2 - 18*a^2*b^8*c^4*x*y^2 + 3*b^10*c^4*x*y^2 +   6*a^8*c^6*x*y^2 + 15*a^6*b^2*c^6*x*y^2 -   42*a^4*b^4*c^6*x*y^2 + 15*a^2*b^6*c^6*x*y^2 + 6*b^8*c^6*x*y^2 -   14*a^6*c^8*x*y^2 + 15*a^4*b^2*c^8*x*y^2 + 15*a^2*b^4*c^8*x*y^2 -   14*b^6*c^8*x*y^2 + 6*a^4*c^10*x*y^2 -   18*a^2*b^2*c^10*x*y^2 + 6*b^4*c^10*x*y^2 + 3*a^2*c^12*x*y^2 +   3*b^2*c^12*x*y^2 - 2*c^14*x*y^2 - 2*a^12*b^2*x^2*z + 3*a^10*b^4*x^2*z +   6*a^8*b^6*x^2*z - 14*a^6*b^8*x^2*z + 6*a^4*b^10*x^2*z +   3*a^2*b^12*x^2*z - 2*b^14*x^2*z + 3*a^10*b^2*c^2*x^2*z -   18*a^8*b^4*c^2*x^2*z + 15*a^6*b^6*c^2*x^2*z + 15*a^4*b^8*c^2*x^2*z -   18*a^2*b^10*c^2*x^2*z + 3*b^12*c^2*x^2*z +   6*a^8*b^2*c^4*x^2*z + 15*a^6*b^4*c^4*x^2*z - 42*a^4*b^6*c^4*x^2*z +   15*a^2*b^8*c^4*x^2*z + 6*b^10*c^4*x^2*z - 14*a^6*b^2*c^6*x^2*z +   15*a^4*b^4*c^6*x^2*z + 15*a^2*b^6*c^6*x^2*z -   14*b^8*c^6*x^2*z + 6*a^4*b^2*c^8*x^2*z - 18*a^2*b^4*c^8*x^2*z +   6*b^6*c^8*x^2*z + 3*a^2*b^2*c^10*x^2*z + 3*b^4*c^10*x^2*z -   2*b^2*c^12*x^2*z + 3*a^12*b^2*x*y*z - 15*a^10*b^4*x*y*z +   30*a^8*b^6*x*y*z - 30*a^6*b^8*x*y*z + 15*a^4*b^10*x*y*z -   3*a^2*b^12*x*y*z - 3*a^12*c^2*x*y*z + 9*a^8*b^4*c^2*x*y*z -   9*a^4*b^8*c^2*x*y*z + 3*b^12*c^2*x*y*z + 15*a^10*c^4*x*y*z -   9*a^8*b^2*c^4*x*y*z + 9*a^2*b^8*c^4*x*y*z - 15*b^10*c^4*x*y*z -   30*a^8*c^6*x*y*z + 30*b^8*c^6*x*y*z + 30*a^6*c^8*x*y*z +   9*a^4*b^2*c^8*x*y*z - 9*a^2*b^4*c^8*x*y*z - 30*b^6*c^8*x*y*z -   15*a^4*c^10*x*y*z + 15*b^4*c^10*x*y*z + 3*a^2*c^12*x*y*z -   3*b^2*c^12*x*y*z + 2*a^14*y^2*z - 3*a^12*b^2*y^2*z - 6*a^10*b^4*y^2*z +   14*a^8*b^6*y^2*z - 6*a^6*b^8*y^2*z - 3*a^4*b^10*y^2*z +   2*a^2*b^12*y^2*z - 3*a^12*c^2*y^2*z + 18*a^10*b^2*c^2*y^2*z -   15*a^8*b^4*c^2*y^2*z - 15*a^6*b^6*c^2*y^2*z + 18*a^4*b^8*c^2*y^2*z -   3*a^2*b^10*c^2*y^2*z - 6*a^10*c^4*y^2*z -   15*a^8*b^2*c^4*y^2*z + 42*a^6*b^4*c^4*y^2*z - 15*a^4*b^6*c^4*y^2*z -   6*a^2*b^8*c^4*y^2*z + 14*a^8*c^6*y^2*z - 15*a^6*b^2*c^6*y^2*z -   15*a^4*b^4*c^6*y^2*z + 14*a^2*b^6*c^6*y^2*z -   6*a^6*c^8*y^2*z + 18*a^4*b^2*c^8*y^2*z - 6*a^2*b^4*c^8*y^2*z -   3*a^4*c^10*y^2*z - 3*a^2*b^2*c^10*y^2*z + 2*a^2*c^12*y^2*z +   2*a^12*b^2*x*z^2 - 3*a^10*b^4*x*z^2 - 6*a^8*b^6*x*z^2 +   14*a^6*b^8*x*z^2 - 6*a^4*b^10*x*z^2 - 3*a^2*b^12*x*z^2 + 2*b^14*x*z^2 -   3*a^10*b^2*c^2*x*z^2 + 18*a^8*b^4*c^2*x*z^2 - 15*a^6*b^6*c^2*x*z^2 -   15*a^4*b^8*c^2*x*z^2 + 18*a^2*b^10*c^2*x*z^2 -   3*b^12*c^2*x*z^2 - 6*a^8*b^2*c^4*x*z^2 - 15*a^6*b^4*c^4*x*z^2 +   42*a^4*b^6*c^4*x*z^2 - 15*a^2*b^8*c^4*x*z^2 - 6*b^10*c^4*x*z^2 +   14*a^6*b^2*c^6*x*z^2 - 15*a^4*b^4*c^6*x*z^2 -   15*a^2*b^6*c^6*x*z^2 + 14*b^8*c^6*x*z^2 - 6*a^4*b^2*c^8*x*z^2 +   18*a^2*b^4*c^8*x*z^2 - 6*b^6*c^8*x*z^2 - 3*a^2*b^2*c^10*x*z^2 -   3*b^4*c^10*x*z^2 + 2*b^2*c^12*x*z^2 - 2*a^14*y*z^2 +   3*a^12*b^2*y*z^2 + 6*a^10*b^4*y*z^2 - 14*a^8*b^6*y*z^2 +   6*a^6*b^8*y*z^2 + 3*a^4*b^10*y*z^2 - 2*a^2*b^12*y*z^2 + 3*a^12*c^2*y*z^2 -   18*a^10*b^2*c^2*y*z^2 + 15*a^8*b^4*c^2*y*z^2 +   15*a^6*b^6*c^2*y*z^2 - 18*a^4*b^8*c^2*y*z^2 + 3*a^2*b^10*c^2*y*z^2 +   6*a^10*c^4*y*z^2 + 15*a^8*b^2*c^4*y*z^2 - 42*a^6*b^4*c^4*y*z^2 +   15*a^4*b^6*c^4*y*z^2 + 6*a^2*b^8*c^4*y*z^2 -   14*a^8*c^6*y*z^2 + 15*a^6*b^2*c^6*y*z^2 + 15*a^4*b^4*c^6*y*z^2 -   14*a^2*b^6*c^6*y*z^2 + 6*a^6*c^8*y*z^2 - 18*a^4*b^2*c^8*y*z^2 +   6*a^2*b^4*c^8*y*z^2 + 3*a^4*c^10*y*z^2 +   3*a^2*b^2*c^10*y*z^2 - 2*a^2*c^12*y*z^2 = 0