      t0 = 4.D0/5.D0*M*q/R**2/pp
                               WT_dxgS(1,1)=t0

      t0 = -8.D0/5.D0*M*p/R**2/pp
                               WT_dxgS(1,2)=t0

      t0 = 4.D0/5.D0/R**2*M*(-1+q**2+p**2)/pp
                               WT_dxgS(1,3)=t0

      t0 = -2*M*(1-6*q**2+2*p**2+q**4+2*q**2*p**2+p**4)/R**2/pp**2
                               WT_dxgS(1,4)=t0

      t0 = -12.D0/5.D0*M*q/R**2/pp
                               WT_dxgS(2,2)=t0

      t0 = 0
                               WT_dxgS(2,3)=t0

      t0 = -16*M*q*p/R**2/pp**2
                               WT_dxgS(2,4)=t0

      t0 = -12.D0/5.D0*M*q/R**2/pp
                               WT_dxgS(3,3)=t0

      t0 = 8*M*(-1+q**2+p**2)*q/R**2/pp**2
                               WT_dxgS(3,4)=t0

      t0 = -4*M*q/R**2/pp
                               WT_dxgS(4,4)=t0

