1 x,y,z,+1,u,v,w
2 x,-y,-z,+1,u,v,w
3 -x,y,1/2 - z,+1,u,v,w
4 -x,-y,z + 1/2,+1,u,v,w

spin only:
1 x,y,z,+1,cos(\phi)*u - sin(\phi)*v,sin(\phi)*u + cos(\phi)*v,w
2 x,y,z,-1,-u,v,w