x, y, z, t, u, 
2*t^2+u^2+2*x^2+2*y^2+2*z^2-u
2*t*u+2*t*z+2*x*y+2*y*z-t
t^2+2*t*y+2*u*z+2*x*z-z
2*t*x+2*t*z+2*u*y-y
2*x+2*y+2*z+2*t+u-1
