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#define PDstandardNth1(u,i,j,k) (qp1o12dx*(-8*u[CCTK_GFINDEX3D(cctkGH,-1 + i,j,k)] + 8*u[CCTK_GFINDEX3D(cctkGH,1 + i,j,k)] + u[CCTK_GFINDEX3D(cctkGH,-2 + i,j,k)] - u[CCTK_GFINDEX3D(cctkGH,2 + i,j,k)]))
#define PDstandardNth2(u,i,j,k) (qp1o12dy*(-8*u[CCTK_GFINDEX3D(cctkGH,i,-1 + j,k)] + 8*u[CCTK_GFINDEX3D(cctkGH,i,1 + j,k)] + u[CCTK_GFINDEX3D(cctkGH,i,-2 + j,k)] - u[CCTK_GFINDEX3D(cctkGH,i,2 + j,k)]))
#define PDstandardNth3(u,i,j,k) (qp1o12dz*(-8*u[CCTK_GFINDEX3D(cctkGH,i,j,-1 + k)] + 8*u[CCTK_GFINDEX3D(cctkGH,i,j,1 + k)] + u[CCTK_GFINDEX3D(cctkGH,i,j,-2 + k)] - u[CCTK_GFINDEX3D(cctkGH,i,j,2 + k)]))
#define PDstandardNth11(u,i,j,k) (qpm1o12dx2*(-16*(u[CCTK_GFINDEX3D(cctkGH,-1 + i,j,k)] + u[CCTK_GFINDEX3D(cctkGH,1 + i,j,k)]) + u[CCTK_GFINDEX3D(cctkGH,-2 + i,j,k)] + u[CCTK_GFINDEX3D(cctkGH,2 + i,j,k)] + 30*u[CCTK_GFINDEX3D(cctkGH,i,j,k)]))
#define PDstandardNth22(u,i,j,k) (qpm1o12dy2*(-16*(u[CCTK_GFINDEX3D(cctkGH,i,-1 + j,k)] + u[CCTK_GFINDEX3D(cctkGH,i,1 + j,k)]) + u[CCTK_GFINDEX3D(cctkGH,i,-2 + j,k)] + u[CCTK_GFINDEX3D(cctkGH,i,2 + j,k)] + 30*u[CCTK_GFINDEX3D(cctkGH,i,j,k)]))
#define PDstandardNth33(u,i,j,k) (qpm1o12dz2*(-16*(u[CCTK_GFINDEX3D(cctkGH,i,j,-1 + k)] + u[CCTK_GFINDEX3D(cctkGH,i,j,1 + k)]) + u[CCTK_GFINDEX3D(cctkGH,i,j,-2 + k)] + u[CCTK_GFINDEX3D(cctkGH,i,j,2 + k)] + 30*u[CCTK_GFINDEX3D(cctkGH,i,j,k)]))
#define PDstandardNth12(u,i,j,k) (qp1o144dxdy*(-64*(u[CCTK_GFINDEX3D(cctkGH,-1 + i,1 + j,k)] + u[CCTK_GFINDEX3D(cctkGH,1 + i,-1 + j,k)]) + 64*(u[CCTK_GFINDEX3D(cctkGH,-1 + i,-1 + j,k)] + u[CCTK_GFINDEX3D(cctkGH,1 + i,1 + j,k)]) + 8*(u[CCTK_GFINDEX3D(cctkGH,-1 + i,2 + j,k)] + u[CCTK_GFINDEX3D(cctkGH,1 + i,-2 + j,k)] + u[CCTK_GFINDEX3D(cctkGH,-2 + i,1 + j,k)] + u[CCTK_GFINDEX3D(cctkGH,2 + i,-1 + j,k)]) - 8*(u[CCTK_GFINDEX3D(cctkGH,-1 + i,-2 + j,k)] + u[CCTK_GFINDEX3D(cctkGH,1 + i,2 + j,k)] + u[CCTK_GFINDEX3D(cctkGH,-2 + i,-1 + j,k)] + u[CCTK_GFINDEX3D(cctkGH,2 + i,1 + j,k)]) + u[CCTK_GFINDEX3D(cctkGH,-2 + i,-2 + j,k)] - u[CCTK_GFINDEX3D(cctkGH,-2 + i,2 + j,k)] - u[CCTK_GFINDEX3D(cctkGH,2 + i,-2 + j,k)] + u[CCTK_GFINDEX3D(cctkGH,2 + i,2 + j,k)]))
#define PDstandardNth13(u,i,j,k) (qp1o144dxdz*(-64*(u[CCTK_GFINDEX3D(cctkGH,-1 + i,j,1 + k)] + u[CCTK_GFINDEX3D(cctkGH,1 + i,j,-1 + k)]) + 64*(u[CCTK_GFINDEX3D(cctkGH,-1 + i,j,-1 + k)] + u[CCTK_GFINDEX3D(cctkGH,1 + i,j,1 + k)]) + 8*(u[CCTK_GFINDEX3D(cctkGH,-1 + i,j,2 + k)] + u[CCTK_GFINDEX3D(cctkGH,1 + i,j,-2 + k)] + u[CCTK_GFINDEX3D(cctkGH,-2 + i,j,1 + k)] + u[CCTK_GFINDEX3D(cctkGH,2 + i,j,-1 + k)]) - 8*(u[CCTK_GFINDEX3D(cctkGH,-1 + i,j,-2 + k)] + u[CCTK_GFINDEX3D(cctkGH,1 + i,j,2 + k)] + u[CCTK_GFINDEX3D(cctkGH,-2 + i,j,-1 + k)] + u[CCTK_GFINDEX3D(cctkGH,2 + i,j,1 + k)]) + u[CCTK_GFINDEX3D(cctkGH,-2 + i,j,-2 + k)] - u[CCTK_GFINDEX3D(cctkGH,-2 + i,j,2 + k)] - u[CCTK_GFINDEX3D(cctkGH,2 + i,j,-2 + k)] + u[CCTK_GFINDEX3D(cctkGH,2 + i,j,2 + k)]))
#define PDstandardNth21(u,i,j,k) (qp1o144dxdy*(-64*(u[CCTK_GFINDEX3D(cctkGH,-1 + i,1 + j,k)] + u[CCTK_GFINDEX3D(cctkGH,1 + i,-1 + j,k)]) + 64*(u[CCTK_GFINDEX3D(cctkGH,-1 + i,-1 + j,k)] + u[CCTK_GFINDEX3D(cctkGH,1 + i,1 + j,k)]) + 8*(u[CCTK_GFINDEX3D(cctkGH,-1 + i,2 + j,k)] + u[CCTK_GFINDEX3D(cctkGH,1 + i,-2 + j,k)] + u[CCTK_GFINDEX3D(cctkGH,-2 + i,1 + j,k)] + u[CCTK_GFINDEX3D(cctkGH,2 + i,-1 + j,k)]) - 8*(u[CCTK_GFINDEX3D(cctkGH,-1 + i,-2 + j,k)] + u[CCTK_GFINDEX3D(cctkGH,1 + i,2 + j,k)] + u[CCTK_GFINDEX3D(cctkGH,-2 + i,-1 + j,k)] + u[CCTK_GFINDEX3D(cctkGH,2 + i,1 + j,k)]) + u[CCTK_GFINDEX3D(cctkGH,-2 + i,-2 + j,k)] - u[CCTK_GFINDEX3D(cctkGH,-2 + i,2 + j,k)] - u[CCTK_GFINDEX3D(cctkGH,2 + i,-2 + j,k)] + u[CCTK_GFINDEX3D(cctkGH,2 + i,2 + j,k)]))
#define PDstandardNth23(u,i,j,k) (qp1o144dydz*(-64*(u[CCTK_GFINDEX3D(cctkGH,i,-1 + j,1 + k)] + u[CCTK_GFINDEX3D(cctkGH,i,1 + j,-1 + k)]) + 64*(u[CCTK_GFINDEX3D(cctkGH,i,-1 + j,-1 + k)] + u[CCTK_GFINDEX3D(cctkGH,i,1 + j,1 + k)]) + 8*(u[CCTK_GFINDEX3D(cctkGH,i,-1 + j,2 + k)] + u[CCTK_GFINDEX3D(cctkGH,i,1 + j,-2 + k)] + u[CCTK_GFINDEX3D(cctkGH,i,-2 + j,1 + k)] + u[CCTK_GFINDEX3D(cctkGH,i,2 + j,-1 + k)]) - 8*(u[CCTK_GFINDEX3D(cctkGH,i,-1 + j,-2 + k)] + u[CCTK_GFINDEX3D(cctkGH,i,1 + j,2 + k)] + u[CCTK_GFINDEX3D(cctkGH,i,-2 + j,-1 + k)] + u[CCTK_GFINDEX3D(cctkGH,i,2 + j,1 + k)]) + u[CCTK_GFINDEX3D(cctkGH,i,-2 + j,-2 + k)] - u[CCTK_GFINDEX3D(cctkGH,i,-2 + j,2 + k)] - u[CCTK_GFINDEX3D(cctkGH,i,2 + j,-2 + k)] + u[CCTK_GFINDEX3D(cctkGH,i,2 + j,2 + k)]))
#define PDstandardNth31(u,i,j,k) (qp1o144dxdz*(-64*(u[CCTK_GFINDEX3D(cctkGH,-1 + i,j,1 + k)] + u[CCTK_GFINDEX3D(cctkGH,1 + i,j,-1 + k)]) + 64*(u[CCTK_GFINDEX3D(cctkGH,-1 + i,j,-1 + k)] + u[CCTK_GFINDEX3D(cctkGH,1 + i,j,1 + k)]) + 8*(u[CCTK_GFINDEX3D(cctkGH,-1 + i,j,2 + k)] + u[CCTK_GFINDEX3D(cctkGH,1 + i,j,-2 + k)] + u[CCTK_GFINDEX3D(cctkGH,-2 + i,j,1 + k)] + u[CCTK_GFINDEX3D(cctkGH,2 + i,j,-1 + k)]) - 8*(u[CCTK_GFINDEX3D(cctkGH,-1 + i,j,-2 + k)] + u[CCTK_GFINDEX3D(cctkGH,1 + i,j,2 + k)] + u[CCTK_GFINDEX3D(cctkGH,-2 + i,j,-1 + k)] + u[CCTK_GFINDEX3D(cctkGH,2 + i,j,1 + k)]) + u[CCTK_GFINDEX3D(cctkGH,-2 + i,j,-2 + k)] - u[CCTK_GFINDEX3D(cctkGH,-2 + i,j,2 + k)] - u[CCTK_GFINDEX3D(cctkGH,2 + i,j,-2 + k)] + u[CCTK_GFINDEX3D(cctkGH,2 + i,j,2 + k)]))
#define PDstandardNth32(u,i,j,k) (qp1o144dydz*(-64*(u[CCTK_GFINDEX3D(cctkGH,i,-1 + j,1 + k)] + u[CCTK_GFINDEX3D(cctkGH,i,1 + j,-1 + k)]) + 64*(u[CCTK_GFINDEX3D(cctkGH,i,-1 + j,-1 + k)] + u[CCTK_GFINDEX3D(cctkGH,i,1 + j,1 + k)]) + 8*(u[CCTK_GFINDEX3D(cctkGH,i,-1 + j,2 + k)] + u[CCTK_GFINDEX3D(cctkGH,i,1 + j,-2 + k)] + u[CCTK_GFINDEX3D(cctkGH,i,-2 + j,1 + k)] + u[CCTK_GFINDEX3D(cctkGH,i,2 + j,-1 + k)]) - 8*(u[CCTK_GFINDEX3D(cctkGH,i,-1 + j,-2 + k)] + u[CCTK_GFINDEX3D(cctkGH,i,1 + j,2 + k)] + u[CCTK_GFINDEX3D(cctkGH,i,-2 + j,-1 + k)] + u[CCTK_GFINDEX3D(cctkGH,i,2 + j,1 + k)]) + u[CCTK_GFINDEX3D(cctkGH,i,-2 + j,-2 + k)] - u[CCTK_GFINDEX3D(cctkGH,i,-2 + j,2 + k)] - u[CCTK_GFINDEX3D(cctkGH,i,2 + j,-2 + k)] + u[CCTK_GFINDEX3D(cctkGH,i,2 + j,2 + k)]))
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