with Q = p:q:r

Sq :-2*b^2*c^4*p^3*q^2*r*x^2*y - 2*a^2*c^4*p^2*q^3*r*x^2*y - 2*b^2*c^4*p^2*q^3*r*x^2*y + 2*c^6*p^2*q^3*r*x^2*y - 2*a^2*c^4*p*q^4*r*x^2*y + 2*a^2*b^2*c^2*p^3*q*r^2*x^2*y - 2*b^4*c^2*p^3*q*r^2*x^2*y - 2*b^2*c^4*p^3*q*r^2*x^2*y + a^4*c^2*p^2*q^2*r^2*x^2*y + a^2*b^2*c^2*p^2*q^2*r^2*x^2*y - 2*b^4*c^2*p^2*q^2*r^2*x^2*y - 2*a^2*c^4*p^2*q^2*r^2*x^2*y + b^2*c^4*p^2*q^2*r^2*x^2*y + c^6*p^2*q^2*r^2*x^2*y - a^4*c^2*q^4*r^2*x^2*y + a^2*b^2*c^2*q^4*r^2*x^2*y - a^2*c^4*q^4*r^2*x^2*y - 2*b^4*c^2*p^3*r^3*x^2*y + 6*a^2*b^2*c^2*p*q^2*r^3*x^2*y + 2*a^4*c^2*q^3*r^3*x^2*y + 2*a^2*b^2*c^2*q^3*r^3*x^2*y - 2*a^2*c^4*q^3*r^3*x^2*y - a^2*b^4*p^2*r^4*x^2*y + b^6*p^2*r^4*x^2*y - b^4*c^2*p^2*r^4*x^2*y - 2*a^4*b^2*p*q*r^4*x^2*y + 2*a^2*b^4*p*q*r^4*x^2*y + 2*a^2*b^2*c^2*p*q*r^4*x^2*y - a^6*q^2*r^4*x^2*y + a^4*b^2*q^2*r^4*x^2*y + 2*a^4*c^2*q^2*r^4*x^2*y + a^2*b^2*c^2*q^2*r^4*x^2*y - a^2*c^4*q^2*r^4*x^2*y + 2*b^2*c^4*p^4*q*r*x*y^2 + 2*a^2*c^4*p^3*q^2*r*x*y^2 + 2*b^2*c^4*p^3*q^2*r*x*y^2 - 2*c^6*p^3*q^2*r*x*y^2 + 2*a^2*c^4*p^2*q^3*r*x*y^2 - a^2*b^2*c^2*p^4*r^2*x*y^2 + b^4*c^2*p^4*r^2*x*y^2 + b^2*c^4*p^4*r^2*x*y^2 + 2*a^4*c^2*p^2*q^2*r^2*x*y^2 - a^2*b^2*c^2*p^2*q^2*r^2*x*y^2 - b^4*c^2*p^2*q^2*r^2*x*y^2 - a^2*c^4*p^2*q^2*r^2*x*y^2 + 2*b^2*c^4*p^2*q^2*r^2*x*y^2 - c^6*p^2*q^2*r^2*x*y^2 + 2*a^4*c^2*p*q^3*r^2*x*y^2 - 2*a^2*b^2*c^2*p*q^3*r^2*x*y^2 + 2*a^2*c^4*p*q^3*r^2*x*y^2 - 2*a^2*b^2*c^2*p^3*r^3*x*y^2 - 2*b^4*c^2*p^3*r^3*x*y^2 + 2*b^2*c^4*p^3*r^3*x*y^2 - 6*a^2*b^2*c^2*p^2*q*r^3*x*y^2 + 2*a^4*c^2*q^3*r^3*x*y^2 - a^2*b^4*p^2*r^4*x*y^2 + b^6*p^2*r^4*x*y^2 - a^2*b^2*c^2*p^2*r^4*x*y^2 - 2*b^4*c^2*p^2*r^4*x*y^2 + b^2*c^4*p^2*r^4*x*y^2 - 2*a^4*b^2*p*q*r^4*x*y^2 + 2*a^2*b^4*p*q*r^4*x*y^2 - 2*a^2*b^2*c^2*p*q*r^4*x*y^2 - a^6*q^2*r^4*x*y^2 + a^4*b^2*q^2*r^4*x*y^2 + a^4*c^2*q^2*r^4*x*y^2 + 2*b^2*c^4*p^3*q^3*x^2*z + a^2*c^4*p^2*q^4*x^2*z + b^2*c^4*p^2*q^4*x^2*z - c^6*p^2*q^4*x^2*z - 2*a^2*b^2*c^2*p^3*q^2*r*x^2*z + 2*b^4*c^2*p^3*q^2*r*x^2*z + 2*b^2*c^4*p^3*q^2*r*x^2*z + 2*a^4*c^2*p*q^4*r*x^2*z - 2*a^2*b^2*c^2*p*q^4*r*x^2*z - 2*a^2*c^4*p*q^4*r*x^2*z + 2*b^4*c^2*p^3*q*r^2*x^2*z - a^4*b^2*p^2*q^2*r^2*x^2*z + 2*a^2*b^4*p^2*q^2*r^2*x^2*z - b^6*p^2*q^2*r^2*x^2*z - a^2*b^2*c^2*p^2*q^2*r^2*x^2*z - b^4*c^2*p^2*q^2*r^2*x^2*z + 2*b^2*c^4*p^2*q^2*r^2*x^2*z - 6*a^2*b^2*c^2*p*q^3*r^2*x^2*z + a^6*q^4*r^2*x^2*z - 2*a^4*b^2*q^4*r^2*x^2*z + a^2*b^4*q^4*r^2*x^2*z - a^4*c^2*q^4*r^2*x^2*z - a^2*b^2*c^2*q^4*r^2*x^2*z + 2*a^2*b^4*p^2*q*r^3*x^2*z - 2*b^6*p^2*q*r^3*x^2*z + 2*b^4*c^2*p^2*q*r^3*x^2*z - 2*a^4*b^2*q^3*r^3*x^2*z + 2*a^2*b^4*q^3*r^3*x^2*z - 2*a^2*b^2*c^2*q^3*r^3*x^2*z + 2*a^2*b^4*p*q*r^4*x^2*z + a^4*b^2*q^2*r^4*x^2*z + a^2*b^4*q^2*r^4*x^2*z - a^2*b^2*c^2*q^2*r^4*x^2*z - 2*b^2*c^4*p^4*q^2*x*y*z + 2*a^2*c^4*p^2*q^4*x*y*z - 2*a^4*c^2*p^3*q^2*r*x*y*z - 4*a^2*b^2*c^2*p^3*q^2*r*x*y*z + 6*b^4*c^2*p^3*q^2*r*x*y*z + 4*a^2*c^4*p^3*q^2*r*x*y*z - 4*b^2*c^4*p^3*q^2*r*x*y*z - 2*c^6*p^3*q^2*r*x*y*z - 6*a^4*c^2*p^2*q^3*r*x*y*z + 4*a^2*b^2*c^2*p^2*q^3*r*x*y*z + 2*b^4*c^2*p^2*q^3*r*x*y*z + 4*a^2*c^4*p^2*q^3*r*x*y*z - 4*b^2*c^4*p^2*q^3*r*x*y*z + 2*c^6*p^2*q^3*r*x*y*z + 2*b^4*c^2*p^4*r^2*x*y*z + 2*a^4*b^2*p^3*q*r^2*x*y*z - 4*a^2*b^4*p^3*q*r^2*x*y*z + 2*b^6*p^3*q*r^2*x*y*z + 4*a^2*b^2*c^2*p^3*q*r^2*x*y*z + 4*b^4*c^2*p^3*q*r^2*x*y*z - 6*b^2*c^4*p^3*q*r^2*x*y*z - 2*a^6*p*q^3*r^2*x*y*z + 4*a^4*b^2*p*q^3*r^2*x*y*z - 2*a^2*b^4*p*q^3*r^2*x*y*z - 4*a^4*c^2*p*q^3*r^2*x*y*z - 4*a^2*b^2*c^2*p*q^3*r^2*x*y*z + 6*a^2*c^4*p*q^3*r^2*x*y*z - 2*a^4*c^2*q^4*r^2*x*y*z + 6*a^4*b^2*p^2*q*r^3*x*y*z - 4*a^2*b^4*p^2*q*r^3*x*y*z - 2*b^6*p^2*q*r^3*x*y*z - 4*a^2*b^2*c^2*p^2*q*r^3*x*y*z + 4*b^4*c^2*p^2*q*r^3*x*y*z - 2*b^2*c^4*p^2*q*r^3*x*y*z + 2*a^6*p*q^2*r^3*x*y*z + 4*a^4*b^2*p*q^2*r^3*x*y*z - 6*a^2*b^4*p*q^2*r^3*x*y*z - 4*a^4*c^2*p*q^2*r^3*x*y*z + 4*a^2*b^2*c^2*p*q^2*r^3*x*y*z + 2*a^2*c^4*p*q^2*r^3*x*y*z - 2*a^2*b^4*p^2*r^4*x*y*z + 2*a^4*b^2*q^2*r^4*x*y*z - a^2*c^4*p^4*q^2*y^2*z - b^2*c^4*p^4*q^2*y^2*z + c^6*p^4*q^2*y^2*z - 2*a^2*c^4*p^3*q^3*y^2*z + 2*a^2*b^2*c^2*p^4*q*r*y^2*z - 2*b^4*c^2*p^4*q*r*y^2*z + 2*b^2*c^4*p^4*q*r*y^2*z - 2*a^4*c^2*p^2*q^3*r*y^2*z + 2*a^2*b^2*c^2*p^2*q^3*r*y^2*z - 2*a^2*c^4*p^2*q^3*r*y^2*z - a^4*b^2*p^4*r^2*y^2*z + 2*a^2*b^4*p^4*r^2*y^2*z - b^6*p^4*r^2*y^2*z + a^2*b^2*c^2*p^4*r^2*y^2*z + b^4*c^2*p^4*r^2*y^2*z + 6*a^2*b^2*c^2*p^3*q*r^2*y^2*z + a^6*p^2*q^2*r^2*y^2*z - 2*a^4*b^2*p^2*q^2*r^2*y^2*z + a^2*b^4*p^2*q^2*r^2*y^2*z + a^4*c^2*p^2*q^2*r^2*y^2*z + a^2*b^2*c^2*p^2*q^2*r^2*y^2*z - 2*a^2*c^4*p^2*q^2*r^2*y^2*z - 2*a^4*c^2*p*q^3*r^2*y^2*z - 2*a^4*b^2*p^3*r^3*y^2*z + 2*a^2*b^4*p^3*r^3*y^2*z + 2*a^2*b^2*c^2*p^3*r^3*y^2*z + 2*a^6*p*q^2*r^3*y^2*z - 2*a^4*b^2*p*q^2*r^3*y^2*z - 2*a^4*c^2*p*q^2*r^3*y^2*z - a^4*b^2*p^2*r^4*y^2*z - a^2*b^4*p^2*r^4*y^2*z + a^2*b^2*c^2*p^2*r^4*y^2*z - 2*a^4*b^2*p*q*r^4*y^2*z + a^2*b^2*c^2*p^4*q^2*x*z^2 - b^4*c^2*p^4*q^2*x*z^2 - b^2*c^4*p^4*q^2*x*z^2 + 2*a^2*b^2*c^2*p^3*q^3*x*z^2 - 2*b^4*c^2*p^3*q^3*x*z^2 + 2*b^2*c^4*p^3*q^3*x*z^2 + a^2*b^2*c^2*p^2*q^4*x*z^2 - b^4*c^2*p^2*q^4*x*z^2 + a^2*c^4*p^2*q^4*x*z^2 + 2*b^2*c^4*p^2*q^4*x*z^2 - c^6*p^2*q^4*x*z^2 - 2*b^4*c^2*p^4*q*r*x*z^2 + 6*a^2*b^2*c^2*p^2*q^3*r*x*z^2 + 2*a^4*c^2*p*q^4*r*x*z^2 + 2*a^2*b^2*c^2*p*q^4*r*x*z^2 - 2*a^2*c^4*p*q^4*r*x*z^2 - 2*a^2*b^4*p^3*q*r^2*x*z^2 + 2*b^6*p^3*q*r^2*x*z^2 - 2*b^4*c^2*p^3*q*r^2*x*z^2 - 2*a^4*b^2*p^2*q^2*r^2*x*z^2 + a^2*b^4*p^2*q^2*r^2*x*z^2 + b^6*p^2*q^2*r^2*x*z^2 + a^2*b^2*c^2*p^2*q^2*r^2*x*z^2 - 2*b^4*c^2*p^2*q^2*r^2*x*z^2 + b^2*c^4*p^2*q^2*r^2*x*z^2 + a^6*q^4*r^2*x*z^2 - a^4*b^2*q^4*r^2*x*z^2 - a^4*c^2*q^4*r^2*x*z^2 - 2*a^2*b^4*p^2*q*r^3*x*z^2 - 2*a^4*b^2*p*q^2*r^3*x*z^2 - 2*a^2*b^4*p*q^2*r^3*x*z^2 + 2*a^2*b^2*c^2*p*q^2*r^3*x*z^2 - 2*a^4*b^2*q^3*r^3*x*z^2 + a^4*c^2*p^4*q^2*y*z^2 - a^2*b^2*c^2*p^4*q^2*y*z^2 - 2*a^2*c^4*p^4*q^2*y*z^2 - b^2*c^4*p^4*q^2*y*z^2 + c^6*p^4*q^2*y*z^2 + 2*a^4*c^2*p^3*q^3*y*z^2 - 2*a^2*b^2*c^2*p^3*q^3*y*z^2 - 2*a^2*c^4*p^3*q^3*y*z^2 + a^4*c^2*p^2*q^4*y*z^2 - a^2*b^2*c^2*p^2*q^4*y*z^2 + a^2*c^4*p^2*q^4*y*z^2 - 2*a^2*b^2*c^2*p^4*q*r*y*z^2 - 2*b^4*c^2*p^4*q*r*y*z^2 + 2*b^2*c^4*p^4*q*r*y*z^2 - 6*a^2*b^2*c^2*p^3*q^2*r*y*z^2 + 2*a^4*c^2*p*q^4*r*y*z^2 + a^2*b^4*p^4*r^2*y*z^2 - b^6*p^4*r^2*y*z^2 + b^4*c^2*p^4*r^2*y*z^2 - a^6*p^2*q^2*r^2*y*z^2 - a^4*b^2*p^2*q^2*r^2*y*z^2 + 2*a^2*b^4*p^2*q^2*r^2*y*z^2 + 2*a^4*c^2*p^2*q^2*r^2*y*z^2 - a^2*b^2*c^2*p^2*q^2*r^2*y*z^2 - a^2*c^4*p^2*q^2*r^2*y*z^2 - 2*a^6*p*q^3*r^2*y*z^2 + 2*a^4*b^2*p*q^3*r^2*y*z^2 + 2*a^4*c^2*p*q^3*r^2*y*z^2 + 2*a^2*b^4*p^3*r^3*y*z^2 + 2*a^4*b^2*p^2*q*r^3*y*z^2 + 2*a^2*b^4*p^2*q*r^3*y*z^2 - 2*a^2*b^2*c^2*p^2*q*r^3*y*z^2 + 2*a^4*b^2*p*q^2*r^3*y*z^2 = 0Hq :a^2*c^4*p^2*q^3*r*x^2 + b^2*c^4*p^2*q^3*r*x^2 - c^6*p^2*q^3*r*x^2 + 2*a^2*c^4*p*q^4*r*x^2 + 2*b^4*c^2*p^2*q^2*r^2*x^2 - 2*b^2*c^4*p^2*q^2*r^2*x^2 + 2*a^2*b^2*c^2*p*q^3*r^2*x^2 + a^4*c^2*q^4*r^2*x^2 - a^2*b^2*c^2*q^4*r^2*x^2 + a^2*c^4*q^4*r^2*x^2 - a^2*b^4*p^2*q*r^3*x^2 + b^6*p^2*q*r^3*x^2 - b^4*c^2*p^2*q*r^3*x^2 - 2*a^2*b^2*c^2*p*q^2*r^3*x^2 + a^4*b^2*q^3*r^3*x^2 - a^2*b^4*q^3*r^3*x^2 - a^4*c^2*q^3*r^3*x^2 + a^2*c^4*q^3*r^3*x^2 - 2*a^2*b^4*p*q*r^4*x^2 - a^4*b^2*q^2*r^4*x^2 - a^2*b^4*q^2*r^4*x^2 + a^2*b^2*c^2*q^2*r^4*x^2 - a^2*b^2*c^2*p^3*q*r^2*x*y - b^4*c^2*p^3*q*r^2*x*y + b^2*c^4*p^3*q*r^2*x*y + a^4*c^2*p*q^3*r^2*x*y + a^2*b^2*c^2*p*q^3*r^2*x*y - a^2*c^4*p*q^3*r^2*x*y + a^2*b^4*p^3*r^3*x*y - b^6*p^3*r^3*x*y + b^4*c^2*p^3*r^3*x*y - a^4*b^2*p^2*q*r^3*x*y + a^2*b^4*p^2*q*r^3*x*y + a^2*b^2*c^2*p^2*q*r^3*x*y - a^4*b^2*p*q^2*r^3*x*y + a^2*b^4*p*q^2*r^3*x*y - a^2*b^2*c^2*p*q^2*r^3*x*y + a^6*q^3*r^3*x*y - a^4*b^2*q^3*r^3*x*y - a^4*c^2*q^3*r^3*x*y + 2*a^2*b^4*p^2*r^4*x*y - 2*a^4*b^2*q^2*r^4*x*y - 2*b^2*c^4*p^4*q*r*y^2 - a^2*c^4*p^3*q^2*r*y^2 - b^2*c^4*p^3*q^2*r*y^2 + c^6*p^3*q^2*r*y^2 + a^2*b^2*c^2*p^4*r^2*y^2 - b^4*c^2*p^4*r^2*y^2 - b^2*c^4*p^4*r^2*y^2 - 2*a^2*b^2*c^2*p^3*q*r^2*y^2 - 2*a^4*c^2*p^2*q^2*r^2*y^2 + 2*a^2*c^4*p^2*q^2*r^2*y^2 + a^4*b^2*p^3*r^3*y^2 - a^2*b^4*p^3*r^3*y^2 + b^4*c^2*p^3*r^3*y^2 - b^2*c^4*p^3*r^3*y^2 + 2*a^2*b^2*c^2*p^2*q*r^3*y^2 - a^6*p*q^2*r^3*y^2 + a^4*b^2*p*q^2*r^3*y^2 + a^4*c^2*p*q^2*r^3*y^2 + a^4*b^2*p^2*r^4*y^2 + a^2*b^4*p^2*r^4*y^2 - a^2*b^2*c^2*p^2*r^4*y^2 + 2*a^4*b^2*p*q*r^4*y^2 - a^2*c^4*p^3*q^3*x*z - b^2*c^4*p^3*q^3*x*z + c^6*p^3*q^3*x*z - 2*a^2*c^4*p^2*q^4*x*z + a^2*b^2*c^2*p^3*q^2*r*x*z - b^4*c^2*p^3*q^2*r*x*z + b^2*c^4*p^3*q^2*r*x*z + a^4*c^2*p^2*q^3*r*x*z - a^2*b^2*c^2*p^2*q^3*r*x*z - a^2*c^4*p^2*q^3*r*x*z + a^4*c^2*p*q^3*r^2*x*z + a^2*b^2*c^2*p*q^3*r^2*x*z - a^2*c^4*p*q^3*r^2*x*z + 2*a^4*c^2*q^4*r^2*x*z - a^4*b^2*p*q^2*r^3*x*z + a^2*b^4*p*q^2*r^3*x*z - a^2*b^2*c^2*p*q^2*r^3*x*z - a^6*q^3*r^3*x*z + a^4*b^2*q^3*r^3*x*z + a^4*c^2*q^3*r^3*x*z + 2*b^2*c^4*p^4*q^2*y*z + a^2*c^4*p^3*q^3*y*z + b^2*c^4*p^3*q^3*y*z - c^6*p^3*q^3*y*z + a^2*b^2*c^2*p^3*q^2*r*y*z - b^4*c^2*p^3*q^2*r*y*z + b^2*c^4*p^3*q^2*r*y*z + a^4*c^2*p^2*q^3*r*y*z - a^2*b^2*c^2*p^2*q^3*r*y*z - a^2*c^4*p^2*q^3*r*y*z - 2*b^4*c^2*p^4*r^2*y*z - a^2*b^2*c^2*p^3*q*r^2*y*z - b^4*c^2*p^3*q*r^2*y*z + b^2*c^4*p^3*q*r^2*y*z - a^2*b^4*p^3*r^3*y*z + b^6*p^3*r^3*y*z - b^4*c^2*p^3*r^3*y*z - a^4*b^2*p^2*q*r^3*y*z + a^2*b^4*p^2*q*r^3*y*z + a^2*b^2*c^2*p^2*q*r^3*y*z - a^2*b^2*c^2*p^4*q^2*z^2 + b^4*c^2*p^4*q^2*z^2 + b^2*c^4*p^4*q^2*z^2 - a^4*c^2*p^3*q^3*z^2 + b^4*c^2*p^3*q^3*z^2 + a^2*c^4*p^3*q^3*z^2 - b^2*c^4*p^3*q^3*z^2 - a^4*c^2*p^2*q^4*z^2 + a^2*b^2*c^2*p^2*q^4*z^2 - a^2*c^4*p^2*q^4*z^2 + 2*b^4*c^2*p^4*q*r*z^2 + 2*a^2*b^2*c^2*p^3*q^2*r*z^2 - 2*a^2*b^2*c^2*p^2*q^3*r*z^2 - 2*a^4*c^2*p*q^4*r*z^2 + a^2*b^4*p^3*q*r^2*z^2 - b^6*p^3*q*r^2*z^2 + b^4*c^2*p^3*q*r^2*z^2 + 2*a^4*b^2*p^2*q^2*r^2*z^2 - 2*a^2*b^4*p^2*q^2*r^2*z^2 + a^6*p*q^3*r^2*z^2 - a^4*b^2*p*q^3*r^2*z^2 - a^4*c^2*p*q^3*r^2*z^2 = 0