K505 :

-a^10*b^2*c^2*x^2*y + 5*a^8*b^4*c^2*x^2*y - 7*a^6*b^6*c^2*x^2*y +   a^4*b^8*c^2*x^2*y + 4*a^2*b^10*c^2*x^2*y - 2*b^12*c^2*x^2*y +   a^10*c^4*x^2*y - a^8*b^2*c^4*x^2*y -   a^6*b^4*c^4*x^2*y + 11*a^4*b^6*c^4*x^2*y - 14*a^2*b^8*c^4*x^2*y +   4*b^10*c^4*x^2*y - 4*a^8*c^6*x^2*y + 2*a^6*b^2*c^6*x^2*y -   10*a^4*b^4*c^6*x^2*y + 11*a^2*b^6*c^6*x^2*y +   b^8*c^6*x^2*y + 6*a^6*c^8*x^2*y + 2*a^4*b^2*c^8*x^2*y -   a^2*b^4*c^8*x^2*y - 7*b^6*c^8*x^2*y - 4*a^4*c^10*x^2*y -   a^2*b^2*c^10*x^2*y + 5*b^4*c^10*x^2*y + a^2*c^12*x^2*y -   b^2*c^12*x^2*y - 2*a^12*c^2*x*y^2 + 4*a^10*b^2*c^2*x*y^2 +   a^8*b^4*c^2*x*y^2 - 7*a^6*b^6*c^2*x*y^2 + 5*a^4*b^8*c^2*x*y^2 -   a^2*b^10*c^2*x*y^2 + 4*a^10*c^4*x*y^2 -   14*a^8*b^2*c^4*x*y^2 + 11*a^6*b^4*c^4*x*y^2 - a^4*b^6*c^4*x*y^2 -   a^2*b^8*c^4*x*y^2 + b^10*c^4*x*y^2 + a^8*c^6*x*y^2 + 11*a^6*b^2*c^6*x*y^2 -   10*a^4*b^4*c^6*x*y^2 +   2*a^2*b^6*c^6*x*y^2 - 4*b^8*c^6*x*y^2 - 7*a^6*c^8*x*y^2 -   a^4*b^2*c^8*x*y^2 + 2*a^2*b^4*c^8*x*y^2 + 6*b^6*c^8*x*y^2 +   5*a^4*c^10*x*y^2 - a^2*b^2*c^10*x*y^2 - 4*b^4*c^10*x*y^2 -   a^2*c^12*x*y^2 + b^2*c^12*x*y^2 + a^10*b^4*x^2*z - 4*a^8*b^6*x^2*z +   6*a^6*b^8*x^2*z - 4*a^4*b^10*x^2*z + a^2*b^12*x^2*z - a^10*b^2*c^2*x^2*z -   a^8*b^4*c^2*x^2*z +   2*a^6*b^6*c^2*x^2*z + 2*a^4*b^8*c^2*x^2*z - a^2*b^10*c^2*x^2*z -   b^12*c^2*x^2*z + 5*a^8*b^2*c^4*x^2*z - a^6*b^4*c^4*x^2*z -   10*a^4*b^6*c^4*x^2*z - a^2*b^8*c^4*x^2*z +   5*b^10*c^4*x^2*z - 7*a^6*b^2*c^6*x^2*z + 11*a^4*b^4*c^6*x^2*z +   11*a^2*b^6*c^6*x^2*z - 7*b^8*c^6*x^2*z + a^4*b^2*c^8*x^2*z -   14*a^2*b^4*c^8*x^2*z + b^6*c^8*x^2*z +   4*a^2*b^2*c^10*x^2*z + 4*b^4*c^10*x^2*z - 2*b^2*c^12*x^2*z +   2*a^12*b^2*x*y*z - 6*a^10*b^4*x*y*z + 4*a^8*b^6*x*y*z + 4*a^6*b^8*x*y*z -   6*a^4*b^10*x*y*z + 2*a^2*b^12*x*y*z +   2*a^12*c^2*x*y*z - 4*a^10*b^2*c^2*x*y*z + 8*a^8*b^4*c^2*x*y*z -   12*a^6*b^6*c^2*x*y*z + 8*a^4*b^8*c^2*x*y*z - 4*a^2*b^10*c^2*x*y*z +   2*b^12*c^2*x*y*z - 6*a^10*c^4*x*y*z +   8*a^8*b^2*c^4*x*y*z + 8*a^2*b^8*c^4*x*y*z - 6*b^10*c^4*x*y*z +   4*a^8*c^6*x*y*z - 12*a^6*b^2*c^6*x*y*z - 12*a^2*b^6*c^6*x*y*z +   4*b^8*c^6*x*y*z + 4*a^6*c^8*x*y*z +   8*a^4*b^2*c^8*x*y*z + 8*a^2*b^4*c^8*x*y*z + 4*b^6*c^8*x*y*z -   6*a^4*c^10*x*y*z - 4*a^2*b^2*c^10*x*y*z - 6*b^4*c^10*x*y*z +   2*a^2*c^12*x*y*z + 2*b^2*c^12*x*y*z + a^12*b^2*y^2*z -   4*a^10*b^4*y^2*z + 6*a^8*b^6*y^2*z - 4*a^6*b^8*y^2*z + a^4*b^10*y^2*z -   a^12*c^2*y^2*z - a^10*b^2*c^2*y^2*z + 2*a^8*b^4*c^2*y^2*z +   2*a^6*b^6*c^2*y^2*z - a^4*b^8*c^2*y^2*z -   a^2*b^10*c^2*y^2*z + 5*a^10*c^4*y^2*z - a^8*b^2*c^4*y^2*z -   10*a^6*b^4*c^4*y^2*z - a^4*b^6*c^4*y^2*z + 5*a^2*b^8*c^4*y^2*z -   7*a^8*c^6*y^2*z + 11*a^6*b^2*c^6*y^2*z +   11*a^4*b^4*c^6*y^2*z - 7*a^2*b^6*c^6*y^2*z + a^6*c^8*y^2*z -   14*a^4*b^2*c^8*y^2*z + a^2*b^4*c^8*y^2*z + 4*a^4*c^10*y^2*z +   4*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 + 4*a^10*b^4*x*z^2 + a^8*b^6*x*z^2 - 7*a^6*b^8*x*z^2 +   5*a^4*b^10*x*z^2 - a^2*b^12*x*z^2 + 4*a^10*b^2*c^2*x*z^2 -   14*a^8*b^4*c^2*x*z^2 + 11*a^6*b^6*c^2*x*z^2 -   a^4*b^8*c^2*x*z^2 - a^2*b^10*c^2*x*z^2 + b^12*c^2*x*z^2 +   a^8*b^2*c^4*x*z^2 + 11*a^6*b^4*c^4*x*z^2 - 10*a^4*b^6*c^4*x*z^2 +   2*a^2*b^8*c^4*x*z^2 - 4*b^10*c^4*x*z^2 -   7*a^6*b^2*c^6*x*z^2 - a^4*b^4*c^6*x*z^2 + 2*a^2*b^6*c^6*x*z^2 +   6*b^8*c^6*x*z^2 + 5*a^4*b^2*c^8*x*z^2 - a^2*b^4*c^8*x*z^2 -   4*b^6*c^8*x*z^2 - a^2*b^2*c^10*x*z^2 + b^4*c^10*x*z^2 -   a^12*b^2*y*z^2 + 5*a^10*b^4*y*z^2 - 7*a^8*b^6*y*z^2 + a^6*b^8*y*z^2 +   4*a^4*b^10*y*z^2 - 2*a^2*b^12*y*z^2 + a^12*c^2*y*z^2 - a^10*b^2*c^2*y*z^2 -   a^8*b^4*c^2*y*z^2 +   11*a^6*b^6*c^2*y*z^2 - 14*a^4*b^8*c^2*y*z^2 + 4*a^2*b^10*c^2*y*z^2 -   4*a^10*c^4*y*z^2 + 2*a^8*b^2*c^4*y*z^2 - 10*a^6*b^4*c^4*y*z^2 +   11*a^4*b^6*c^4*y*z^2 + a^2*b^8*c^4*y*z^2 +   6*a^8*c^6*y*z^2 + 2*a^6*b^2*c^6*y*z^2 - a^4*b^4*c^6*y*z^2 -   7*a^2*b^6*c^6*y*z^2 - 4*a^6*c^8*y*z^2 - a^4*b^2*c^8*y*z^2 +   5*a^2*b^4*c^8*y*z^2 + a^4*c^10*y*z^2 - a^2*b^2*c^10*y*z^2 = 0