x, y, z, t, u, 
t^6*u^2*x+t^6*x^3-t^6*z^3-2*t^3*u^4*x^2-4*t^3*u^2*x^4+4*t^3*u^2*x*z^3-2*t^3*x^6+4*t^3*x^3*z^3-2*t^3*z^6+u^6*x^3+3*u^4*x^5-3*u^4*x^2*z^3+3*u^2*x^7-6*u^2*x^4*z^3+3*u^2*x*z^6+x^9-3*x^6*z^3+3*x^3*z^6-z^9+x^4-2*x^2*y^2+y^4
t^6-16*t^3*u^2*x-40*t^3*x^3+4*t^3*z^3+u^6+30*u^4*x^2+105*u^2*x^4-24*u^2*x*z^3+84*x^6-60*x^3*z^3+3*z^6+4*x
3*t^6*x-2*t^3*u^4-24*t^3*u^2*x^2-30*t^3*x^4+12*t^3*x*z^3+3*u^6*x+30*u^4*x^3-3*u^4*z^3+63*u^2*x^5-36*u^2*x^2*z^3+36*x^7-45*x^4*z^3+9*x*z^6+6*x^2-2*y^2
t^6*u^2+3*t^6*x^2-4*t^3*u^4*x-16*t^3*u^2*x^3+4*t^3*u^2*z^3-12*t^3*x^5+12*t^3*x^2*z^3+3*u^6*x^2+15*u^4*x^4-6*u^4*x*z^3+21*u^2*x^6-24*u^2*x^3*z^3+3*u^2*z^6+9*x^8-18*x^5*z^3+9*x^2*z^6+4*x^3-4*x*y^2
