K057a :(b - c)*(b + c)*(a^4 - a^2*b^2 + b^4 - a^2*c^2 - b^2*c^2 + c^4)*((-c^2)*x^2*y + c^2*x*y^2 + a^2*x^2*z - b^2*x^2*z - c^2*x^2*z + a^2*y^2*z - b^2*y^2*z + c^2*y^2*z + a^2*x*z^2 - c^2*x*z^2 - b^2*y*z^2 + c^2*y*z^2) + Sqrt[a^4 + b^4 - b^2*c^2 + c^4 - a^2*(b^2 + c^2)]*(b - c)*(b + c)*(-2*a^2*c^2*x^2*y + b^2*c^2*x^2*y + c^4*x^2*y - a^2*c^2*x*y^2 + 2*b^2*c^2*x*y^2 - c^4*x*y^2 + a^4*x^2*z - a^2*b^2*x^2*z - a^2*c^2*x^2*z + b^2*c^2*x^2*z + a^2*b^2*y^2*z - b^4*y^2*z - a^2*c^2*y^2*z + b^2*c^2*y^2*z + a^4*x*z^2 + a^2*b^2*x*z^2 - b^4*x*z^2 - a^2*c^2*x*z^2 + a^4*y*z^2 - a^2*b^2*y*z^2 - b^4*y*z^2 + b^2*c^2*y*z^2) + Sqrt[2*a^4 - a^2*b^2 - a^2*c^2 + (b^2 - c^2)^2 + 2*a^2*Sqrt[a^4 + b^4 - b^2*c^2 + c^4 - a^2*(b^2 + c^2)]]* ((a^4 - a^2*b^2 + b^4 - a^2*c^2 - b^2*c^2 + c^4)*(c^2*x*y^2 + a^2*y^2*z - b^2*y^2*z + c^2*y^2*z - b^2*x*z^2 - a^2*y*z^2 - b^2*y*z^2 + c^2*y*z^2) + Sqrt[a^4 + b^4 - b^2*c^2 + c^4 - a^2*(b^2 + c^2)]* ((-b^2)*c^2*x^2*y + c^4*x^2*y - a^2*c^2*x*y^2 + b^2*c^2*x*y^2 + a^2*b^2*x^2*z - b^4*x^2*z - a^2*c^2*x^2*z + c^4*x^2*z - a^4*y^2*z + 2*a^2*b^2*y^2*z - b^4*y^2*z - a^2*c^2*y^2*z + b^2*c^2*y^2*z + 2*a^2*b^2*x*z^2 - a^2*c^2*x*z^2 - 2*b^2*c^2*x*z^2 + c^4*x*z^2 + a^4*y*z^2 + a^2*b^2*y*z^2 - b^4*y*z^2 - 2*a^2*c^2*y*z^2 + b^2*c^2*y*z^2)) = 0K057b :(b - c)*(b + c)*(a^4 - a^2*b^2 + b^4 - a^2*c^2 - b^2*c^2 + c^4)*((-c^2)*x^2*y + c^2*x*y^2 + a^2*x^2*z - b^2*x^2*z - c^2*x^2*z + a^2*y^2*z - b^2*y^2*z + c^2*y^2*z + a^2*x*z^2 - c^2*x*z^2 - b^2*y*z^2 + c^2*y*z^2) + Sqrt[a^4 + b^4 - b^2*c^2 + c^4 - a^2*(b^2 + c^2)]*(b - c)*(b + c)*(-2*a^2*c^2*x^2*y + b^2*c^2*x^2*y + c^4*x^2*y - a^2*c^2*x*y^2 + 2*b^2*c^2*x*y^2 - c^4*x*y^2 + a^4*x^2*z - a^2*b^2*x^2*z - a^2*c^2*x^2*z + b^2*c^2*x^2*z + a^2*b^2*y^2*z - b^4*y^2*z - a^2*c^2*y^2*z + b^2*c^2*y^2*z + a^4*x*z^2 + a^2*b^2*x*z^2 - b^4*x*z^2 - a^2*c^2*x*z^2 + a^4*y*z^2 - a^2*b^2*y*z^2 - b^4*y*z^2 + b^2*c^2*y*z^2) - Sqrt[2*a^4 - a^2*b^2 - a^2*c^2 + (b^2 - c^2)^2 + 2*a^2*Sqrt[a^4 + b^4 - b^2*c^2 + c^4 - a^2*(b^2 + c^2)]]* ((a^4 - a^2*b^2 + b^4 - a^2*c^2 - b^2*c^2 + c^4)*(c^2*x*y^2 + a^2*y^2*z - b^2*y^2*z + c^2*y^2*z - b^2*x*z^2 - a^2*y*z^2 - b^2*y*z^2 + c^2*y*z^2) + Sqrt[a^4 + b^4 - b^2*c^2 + c^4 - a^2*(b^2 + c^2)]* ((-b^2)*c^2*x^2*y + c^4*x^2*y - a^2*c^2*x*y^2 + b^2*c^2*x*y^2 + a^2*b^2*x^2*z - b^4*x^2*z - a^2*c^2*x^2*z + c^4*x^2*z - a^4*y^2*z + 2*a^2*b^2*y^2*z - b^4*y^2*z - a^2*c^2*y^2*z + b^2*c^2*y^2*z + 2*a^2*b^2*x*z^2 - a^2*c^2*x*z^2 - 2*b^2*c^2*x*z^2 + c^4*x*z^2 + a^4*y*z^2 + a^2*b^2*y*z^2 - b^4*y*z^2 - 2*a^2*c^2*y*z^2 + b^2*c^2*y*z^2)) = 0