gausssums_multipleof12.c

   1 #include <stdio.h>
   2 #include <stdlib.h>
   3 #include <complex.h>
   4 #include <math.h>
   5
   6 int readPaulicoeffs(int* alpha, int* beta, int* gamma, int* delta, int numqubits);
   7 complex double Gausssum1d(int quadraticcoeff, int linearcoeff);
   8 complex double Kroneck(int arg);
   9
  10 // order of matrix elements is [row][column]!!!
  11
  12 int main()
  13 {
  14
  15   int i, j;
  16   int x, y, xp, yp, xpp, ypp, xppp, yppp;
  17
  18   int N;              // number of qubits
  19   scanf("%d", &N);
  20   if(N%12!=0) {
  21     printf("Error: N must be a multiple of 12!\n");
  22     return 1;
  23   }
  24
  25   int alpha[N], beta[N], gamma[N], delta[N];
  26
  27   double complex summand, sum;
  28
  29   while(readPaulicoeffs(alpha, beta, gamma, delta, N)) {
  30
  31     /* for(i=0; i<N; i++) */
  32     /*   printf("%d %d %d %d\n", alpha[i], beta[i], gamma[i], delta[i]); */
  33
  34     sum = 1.0+0.0*I;
  35     for(i=0; i<N; i+=12) {
  36       summand = 0.0*I;
  37
  38       j = i + 6; // index of second tensored primitive t=6
  39
  40
  41       // first term
  42       for(y=0; y<=1; y++) {
  43         //**for(x=0;x<=(y*(gamma[i]+gamma[i+1])+(y+1)*(gamma[i]+delta[i+1]))%2; x++) {
  44         for(x=y*(beta[i]+alpha[i+1]+beta[i+1])%2;x<=(y*(beta[i]+alpha[i+1]+beta[i+1])+y*(gamma[i]+gamma[i+1])+(y+1)*(gamma[i]+delta[i+1]))%2; x++) {
  45           for(yp=((gamma[i+3]+delta[i+4])*x)%2; yp<=(1+(gamma[i+3]+gamma[i+4])*x)%2; yp++) {
  46           //****for(yp=((gamma[i+3]+delta[i+4])*x*(1+alpha[i]+beta[i]))%2; yp<=(1+(gamma[i+3]+gamma[i+4])*x*(1+alpha[i]+beta[i]))%2; yp++) {
  47             //**for(xp=0;xp<=(yp*(gamma[i+3]+gamma[i+4])+(yp+1)*(gamma[i+3]+delta[i+4]))%2; xp++) {
  48             for(xp=yp*(beta[i+3]+alpha[i+4]+beta[i+4])%2;xp<=(yp*(beta[i+3]+alpha[i+4]+beta[i+4])+yp*(gamma[i+3]+gamma[i+4])+(yp+1)*(gamma[i+3]+delta[i+4]))%2; xp++) {
  49
  50
  51               //for(ypp=0; ypp<=1; ypp++) {
  52               for(ypp=((gamma[j]+delta[j+1])*(x+xp))%2;ypp<=(1+(gamma[j]+gamma[j+1])*(x+xp))%2;ypp++) {
  53               //****for(ypp=((gamma[j]+delta[j+1])*(x*(1+alpha[i]+beta[i])+xp*(1+alpha[i+3]+beta[i+3])))%2;ypp<=(1+(gamma[j]+gamma[j+1])*(x*(1+alpha[i]+beta[i])+xp*(1+alpha[i+3]+beta[i+3])))%2;ypp++) {
  54                 //**for(xpp=0;xpp<=(ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
  55                 for(xpp=ypp*(beta[j]+alpha[j+1]+beta[j+1])%2;xpp<=(ypp*(beta[j]+alpha[j+1]+beta[j+1])+ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
  56                   //for(yppp=((gamma[j+3]+delta[j+4])*xpp)%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*xpp)%2; yppp++) {
  57                   for(yppp=((gamma[j+3]+delta[j+4])*(x+xp+xpp))%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*(x+xp+xpp))%2; yppp++) {
  58                     //****for(yppp=((gamma[j+3]+delta[j+4])*(x*(1+alpha[i]+beta[i])+xp*(1+alpha[i+3]+beta[i+3])+xpp*(1+alpha[j]+beta[j])))%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*(x*(1+alpha[i]+beta[i])+xp*(1+alpha[i+3]+beta[i+3])+xpp*(1+alpha[j]+beta[j])))%2; yppp++) {
  59                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
  60                     for(xppp=yppp*(beta[j+3]+alpha[j+4]+beta[j+4])%2;xppp<=(yppp*(beta[j+3]+alpha[j+4]+beta[j+4])+yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
  61                       //summand += (2.0*(0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2)))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*Gausssum1d(0.0,beta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(gamma[i+2]+delta[i+2])
  62                       summand += 2.0*(2.0*(0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2))*(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2)))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*Gausssum1d(0.0,beta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(gamma[i+2]+delta[i+2])
  63                                            //+ 0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2)))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*csqrt(-I)*Gausssum1d(gamma[i+2]+delta[i+2],0)*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(alpha[i+2]+beta[i+2]))
  64                                            + 0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2))*(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2)))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*csqrt(-I)*Gausssum1d(gamma[i+2]+delta[i+2],0)*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(alpha[i+2]+beta[i+2]))
  65                                   *(0.125*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*Gausssum1d(0.0,beta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(gamma[i+5]+delta[i+5])
  66                                     + 0.125*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*csqrt(-I)*Gausssum1d(gamma[i+5]+delta[i+5],0)*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(alpha[i+5]+beta[i+5])))
  67                         //*(2.0*(0.125*pow(2.0,(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2)))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*Gausssum1d(0.0,beta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(gamma[j+2]+delta[j+2])
  68                         *(2.0*(0.125*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*Gausssum1d(0.0,beta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(gamma[j+2]+delta[j+2])
  69                                //+ 0.125*pow(2.0,(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2)))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*csqrt(-I)*Gausssum1d(gamma[j+2]+delta[j+2],0)*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(alpha[j+2]+beta[j+2]))
  70                                + 0.125*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*csqrt(-I)*Gausssum1d(gamma[j+2]+delta[j+2],0)*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(alpha[j+2]+beta[j+2]))
  71                         *(0.125*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*Gausssum1d(0.0,beta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(gamma[j+5]+delta[j+5])
  72                           + 0.125*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*csqrt(-I)*Gausssum1d(gamma[j+5]+delta[j+5],0)*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(alpha[j+5]+beta[j+5])));
  73                     }
  74                   }
  75                 }
  76               }
  77               for(ypp=0; ypp<=1; ypp++) {
  78                 //**for(xpp=0;xpp<=(ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
  79                 for(xpp=ypp*(beta[j]+alpha[j+1]+beta[j+1])%2;xpp<=(ypp*(beta[j]+alpha[j+1]+beta[j+1])+ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
  80                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
  81                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
  82                       summand += (2.0*(0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2)))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*Gausssum1d(0.0,beta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(gamma[i+2]+delta[i+2])
  83                           + 0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2)))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*csqrt(-I)*Gausssum1d(gamma[i+2]+delta[i+2],0)*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(alpha[i+2]+beta[i+2]))
  84                 *(0.125*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*Gausssum1d(0.0,beta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(gamma[i+5]+delta[i+5])
  85                   + 0.125*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*csqrt(-I)*Gausssum1d(gamma[i+5]+delta[i+5],0)*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(alpha[i+5]+beta[i+5])))
  86                         *((0.125*pow(2.0,1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*Gausssum1d(0.0,beta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(gamma[j+2]+delta[j+2])
  87                                   + 0.125*pow(2.0,1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*csqrt(-I)*Gausssum1d(gamma[j+2]+delta[j+2],0)*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(alpha[j+2]+beta[j+2]))
  88                           *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+5]*yppp+pow(xppp+1,2)*(delta[j+3]+gamma[j+4]+2.0*beta[j+4])+xppp*(delta[j+3]+delta[j+4])))*Gausssum1d(1,beta[j+3]+beta[j+4]+delta[j+3]+(xppp+1)*gamma[j+4]+xppp*delta[j+4])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(gamma[j+5]+delta[j+5])));
  89                     }
  90                   }
  91                 }
  92               }
  93               //for(ypp=0; ypp<=1; ypp++) {
  94               for(ypp=((gamma[j]+delta[j+1])*(x+xp))%2;ypp<=(1+(gamma[j]+gamma[j+1])*(x+xp))%2;ypp++) {
  95               //****for(ypp=((gamma[j]+delta[j+1])*(x*(1+alpha[i]+beta[i])+xp*(1+alpha[i+3]+beta[i+3])))%2;ypp<=(1+(gamma[j]+gamma[j+1])*(x*(1+alpha[i]+beta[i])+xp*(1+alpha[i+3]+beta[i+3])))%2;ypp++) {
  96                 //**for(xpp=0;xpp<=(ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
  97                 for(xpp=ypp*(beta[j]+alpha[j+1]+beta[j+1])%2;xpp<=(ypp*(beta[j]+alpha[j+1]+beta[j+1])+ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
  98                   //for(yppp=xpp; yppp<=1; yppp++) {
  99                   //**for(yppp=(x+xp+xpp)%2; yppp<=1; yppp++) {
 100                   for(yppp=(x*(1+alpha[i]+beta[i])+xp*(1+alpha[i+3]+beta[i+3])+xpp*(1+alpha[j]+beta[j]))%2; yppp<=1; yppp++) {
 101                     //for(xppp=(yppp*(delta[j+3]+delta[j+4])+xpp)%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+xpp)%2; xppp++) {
 102                     //**for(xppp=(yppp*(delta[j+3]+delta[j+4])+(x+xp+xpp))%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+(x+xp+xpp))%2; xppp++) {
 103                     for(xppp=(yppp*(delta[j+3]+delta[j+4])+(x*(1+alpha[i]+beta[i])+xp*(1+alpha[i+3]+beta[i+3])+xpp*(1+alpha[j]+beta[j])))%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+(x*(1+alpha[i]+beta[i])+xp*(1+alpha[i+3]+beta[i+3])+xpp*(1+alpha[j]+beta[j])))%2; xppp++) {
 104                       //summand += 2.0*(2.0*(0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2)))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*Gausssum1d(0.0,beta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(gamma[i+2]+delta[i+2])
 105                       summand += 2.0*(2.0*(0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2))*(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*Gausssum1d(0.0,beta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(gamma[i+2]+delta[i+2])
 106                                            //+ 0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2)))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*csqrt(-I)*Gausssum1d(gamma[i+2]+delta[i+2],0)*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(alpha[i+2]+beta[i+2]))
 107                                            + 0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2))*(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*csqrt(-I)*Gausssum1d(gamma[i+2]+delta[i+2],0)*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(alpha[i+2]+beta[i+2]))
 108                                   *(0.125*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*Gausssum1d(0.0,beta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(gamma[i+5]+delta[i+5])
 109                   + 0.125*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*csqrt(-I)*Gausssum1d(gamma[i+5]+delta[i+5],0)*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(alpha[i+5]+beta[i+5])))
 110                         //*(2.0*(0.125*pow(2.0,(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*Gausssum1d(0.0,beta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(gamma[j+2]+delta[j+2])
 111                         *(2.0*(0.125*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*Gausssum1d(0.0,beta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(gamma[j+2]+delta[j+2])
 112                                //+ 0.125*pow(2.0,(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*csqrt(-I)*Gausssum1d(gamma[j+2]+delta[j+2],0)*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(alpha[j+2]+beta[j+2]))
 113                                + 0.125*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*csqrt(-I)*Gausssum1d(gamma[j+2]+delta[j+2],0)*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(alpha[j+2]+beta[j+2]))
 114                           *(0.125*(-I)*cexp(M_PI*I/2.0*(yppp*(delta[j+3]+delta[j+4])+pow(yppp+1,2)*(delta[j+3]+gamma[j+4]+2*beta[j+4])+pow(xppp,2)+2*(beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp)*xppp))*Gausssum1d(0,xppp+beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp+gamma[j+5]+delta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(alpha[j+5]+beta[j+5])));
 115                     }
 116                   }
 117                 }
 118               }
 119
 120               for(ypp=0; ypp<=(1+alpha[j+2])%2; ypp++) {
 121                 for(xpp=0; xpp<=(1+beta[j+2])%2; xpp++) {
 122                   for(yppp=0; yppp<=1; yppp++) {
 123                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 124                     for(xppp=yppp*(beta[j+3]+alpha[j+4]+beta[j+4])%2;xppp<=(yppp*(beta[j+3]+alpha[j+4]+beta[j+4])+yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 125                       summand += (2.0*(0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2)))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*Gausssum1d(0.0,beta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(gamma[i+2]+delta[i+2])
 126                           + 0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2)))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*csqrt(-I)*Gausssum1d(gamma[i+2]+delta[i+2],0)*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(alpha[i+2]+beta[i+2]))
 127                 *(0.125*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*Gausssum1d(0.0,beta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(gamma[i+5]+delta[i+5])
 128                   + 0.125*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*csqrt(-I)*Gausssum1d(gamma[i+5]+delta[i+5],0)*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(alpha[i+5]+beta[i+5])))
 129                         *((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+2]*ypp+pow(xpp+1,2)*(delta[j]+gamma[j+1]+2.0*beta[j+1])+xpp*(delta[j]+delta[j+1])))*Gausssum1d(1,beta[j]+beta[j+1]+delta[j]+(xpp+1)*gamma[j+1]+xpp*delta[j+1])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(gamma[j+2]+delta[j+2]))
 130                           *(0.125*pow(2.0,1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2))*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*Gausssum1d(0.0,beta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(gamma[j+5]+delta[j+5])
 131                             + 0.125*pow(2.0,1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2))*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*csqrt(-I)*Gausssum1d(gamma[j+5]+delta[j+5],0)*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(alpha[j+5]+beta[j+5])));
 132                     }
 133                   }
 134                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
 135                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
 136                       summand += (2.0*(0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2)))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*Gausssum1d(0.0,beta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(gamma[i+2]+delta[i+2])
 137                           + 0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2)))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*csqrt(-I)*Gausssum1d(gamma[i+2]+delta[i+2],0)*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(alpha[i+2]+beta[i+2]))
 138                 *(0.125*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*Gausssum1d(0.0,beta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(gamma[i+5]+delta[i+5])
 139                   + 0.125*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*csqrt(-I)*Gausssum1d(gamma[i+5]+delta[i+5],0)*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(alpha[i+5]+beta[i+5])))
 140                         *((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+2]*ypp+pow(xpp+1,2)*(delta[j]+gamma[j+1]+2.0*beta[j+1])+xpp*(delta[j]+delta[j+1])))*Gausssum1d(1,beta[j]+beta[j+1]+delta[j]+(xpp+1)*gamma[j+1]+xpp*delta[j+1])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(gamma[j+2]+delta[j+2]))
 141                           *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+5]*yppp+pow(xppp+1,2)*(delta[j+3]+gamma[j+4]+2.0*beta[j+4])+xppp*(delta[j+3]+delta[j+4])))*Gausssum1d(1,beta[j+3]+beta[j+4]+delta[j+3]+(xppp+1)*gamma[j+4]+xppp*delta[j+4])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(gamma[j+5]+delta[j+5])));
 142                     }
 143                   }
 144                   for(yppp=0; yppp<=1; yppp++) {
 145                     for(xppp=(yppp*(delta[j+3]+delta[j+4]))%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4]))%2; xppp++) {
 146                       summand += (2.0*(0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2)))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*Gausssum1d(0.0,beta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(gamma[i+2]+delta[i+2])
 147                           + 0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2)))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*csqrt(-I)*Gausssum1d(gamma[i+2]+delta[i+2],0)*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(alpha[i+2]+beta[i+2]))
 148                 *(0.125*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*Gausssum1d(0.0,beta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(gamma[i+5]+delta[i+5])
 149                   + 0.125*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*csqrt(-I)*Gausssum1d(gamma[i+5]+delta[i+5],0)*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(alpha[i+5]+beta[i+5])))
 150                         *((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+2]*ypp+pow(xpp+1,2)*(delta[j]+gamma[j+1]+2.0*beta[j+1])+xpp*(delta[j]+delta[j+1])))*Gausssum1d(1,beta[j]+beta[j+1]+delta[j]+(xpp+1)*gamma[j+1]+xpp*delta[j+1])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(gamma[j+2]+delta[j+2]))
 151                           *(0.125*(-I)*pow(2.0,(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*cexp(M_PI*I/2.0*(yppp*(delta[j+3]+delta[j+4])+pow(yppp+1,2)*(delta[j+3]+gamma[j+4]+2*beta[j+4])+pow(xppp,2)+2*(beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp)*xppp))*Gausssum1d(0,xppp+beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp+gamma[j+5]+delta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(alpha[j+5]+beta[j+5])));
 152                     }
 153                   }
 154                 }
 155               }
 156
 157               //for(ypp=0; ypp<=1; ypp++) {
 158               //**for(ypp=(x+xp)%2; ypp<=1; ypp++) {
 159               for(ypp=(x*(1+alpha[i]+beta[i])+xp*(1+alpha[i+3]+beta[i+3]))%2; ypp<=1; ypp++) {
 160                 //for(xpp=(ypp*(delta[j]+delta[j+1]))%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1]))%2; xpp++) {
 161                 //**for(xpp=(ypp*(delta[j]+delta[j+1])+x+xp)%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1])+x+xp)%2; xpp++) {
 162                 for(xpp=(ypp*(delta[j]+delta[j+1])+x*(1+alpha[i]+beta[i])+xp*(1+alpha[i+3]+beta[i+3]))%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1])+x*(1+alpha[i]+beta[i])+xp*(1+alpha[i+3]+beta[i+3]))%2; xpp++) {
 163                   //for(yppp=((gamma[j+3]+delta[j+4])*ypp)%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*ypp)%2; yppp++) {
 164                   for(yppp=((gamma[j+3]+delta[j+4])*(x+xp+ypp))%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*(x+xp+ypp))%2; yppp++) {
 165                   //****for(yppp=((gamma[j+3]+delta[j+4])*(x*(1+alpha[i]+beta[i])+xp*(1+alpha[i+3]+beta[i+3])+ypp))%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*(x*(1+alpha[i]+beta[i])+xp*(1+alpha[i+3]+beta[i+3])+ypp))%2; yppp++) {
 166                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 167                     for(xppp=yppp*(beta[j+3]+alpha[j+4]+beta[j+4])%2;xppp<=(yppp*(beta[j+3]+alpha[j+4]+beta[j+4])+yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 168                       //summand += (2.0*(0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2)))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*Gausssum1d(0.0,beta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(gamma[i+2]+delta[i+2])
 169                       summand += 2.0*(2.0*(0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2))*(pow(ypp-1,2)*(pow(xpp,2)*(gamma[j]+delta[j+1])+pow(xpp-1,2)*(gamma[j+1]+delta[j])))*(1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2)))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*Gausssum1d(0.0,beta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(gamma[i+2]+delta[i+2])
 170                                        //+ 0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2)))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*csqrt(-I)*Gausssum1d(gamma[i+2]+delta[i+2],0)*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(alpha[i+2]+beta[i+2]))
 171                                            + 0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2))*(pow(ypp-1,2)*(pow(xpp,2)*(gamma[j]+delta[j+1])+pow(xpp-1,2)*(gamma[j+1]+delta[j])))*(1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2)))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*csqrt(-I)*Gausssum1d(gamma[i+2]+delta[i+2],0)*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(alpha[i+2]+beta[i+2]))
 172                 *(0.125*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*Gausssum1d(0.0,beta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(gamma[i+5]+delta[i+5])
 173                   + 0.125*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*csqrt(-I)*Gausssum1d(gamma[i+5]+delta[i+5],0)*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(alpha[i+5]+beta[i+5])))
 174                         //*(2.0*(0.125*pow(2.0,(pow(ypp-1,2)*(pow(xpp,2)*(gamma[j]+delta[j+1])+pow(xpp-1,2)*(gamma[j+1]+delta[j])))*(1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2)))*(-I)*cexp(M_PI*I/2.0*(ypp*(delta[j]+delta[j+1])+pow(ypp+1,2)*(delta[j]+gamma[j+1]+2*beta[j+1])+pow(xpp,2)+2*(beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp)*xpp))*Gausssum1d(0,xpp+beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp+gamma[j+2]+delta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(alpha[j+2]+beta[j+2]))
 175                         *(2.0*(0.125*(-I)*cexp(M_PI*I/2.0*(ypp*(delta[j]+delta[j+1])+pow(ypp+1,2)*(delta[j]+gamma[j+1]+2*beta[j+1])+pow(xpp,2)+2*(beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp)*xpp))*Gausssum1d(0,xpp+beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp+gamma[j+2]+delta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(alpha[j+2]+beta[j+2]))
 176                           *(0.125*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*Gausssum1d(0.0,beta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(gamma[j+5]+delta[j+5])
 177                             + 0.125*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*csqrt(-I)*Gausssum1d(gamma[j+5]+delta[j+5],0)*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(alpha[j+5]+beta[j+5])));
 178                     }
 179                   }
 180                 }
 181               }
 182               for(ypp=0; ypp<=1; ypp++) {
 183                 for(xpp=(ypp*(delta[j]+delta[j+1]))%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1]))%2; xpp++) {
 184                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
 185                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
 186                       summand += (2.0*(0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2)))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*Gausssum1d(0.0,beta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(gamma[i+2]+delta[i+2])
 187                                        + 0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2)))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*csqrt(-I)*Gausssum1d(gamma[i+2]+delta[i+2],0)*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(alpha[i+2]+beta[i+2]))
 188                                   *(0.125*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*Gausssum1d(0.0,beta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(gamma[i+5]+delta[i+5])
 189                                     + 0.125*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*csqrt(-I)*Gausssum1d(gamma[i+5]+delta[i+5],0)*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(alpha[i+5]+beta[i+5])))
 190                         *((0.125*pow(2.0,pow(ypp-1,2)*(pow(xpp,2)*(gamma[j]+delta[j+1])+pow(xpp-1,2)*(gamma[j+1]+delta[j])))*(-I)*cexp(M_PI*I/2.0*(ypp*(delta[j]+delta[j+1])+pow(ypp+1,2)*(delta[j]+gamma[j+1]+2*beta[j+1])+pow(xpp,2)+2*(beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp)*xpp))*Gausssum1d(0,xpp+beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp+gamma[j+2]+delta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(alpha[j+2]+beta[j+2]))
 191                           *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+5]*yppp+pow(xppp+1,2)*(delta[j+3]+gamma[j+4]+2.0*beta[j+4])+xppp*(delta[j+3]+delta[j+4])))*Gausssum1d(1,beta[j+3]+beta[j+4]+delta[j+3]+(xppp+1)*gamma[j+4]+xppp*delta[j+4])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(gamma[j+5]+delta[j+5])));
 192                     }
 193                   }
 194                 }
 195               }
 196               //for(ypp=0; ypp<=1; ypp++) {
 197               //**for(ypp=(x+xp)%2; ypp<=1; ypp++) {
 198               for(ypp=(x*(1+alpha[i]+beta[i])+xp*(1+alpha[i+3]+beta[i+3]))%2; ypp<=1; ypp++) {
 199                 //for(xpp=(ypp*(delta[j]+delta[j+1]))%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1]))%2; xpp++) {
 200                 //**for(xpp=(ypp*(delta[j]+delta[j+1])+x+xp)%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1])+x+xp)%2; xpp++) {
 201                 for(xpp=(ypp*(delta[j]+delta[j+1])+x*(1+alpha[i]+beta[i])+xp*(1+alpha[i+3]+beta[i+3]))%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1])+x*(1+alpha[i]+beta[i])+xp*(1+alpha[i+3]+beta[i+3]))%2; xpp++) {
 202                   //for(yppp=ypp; yppp<=1; yppp++) {
 203                   //**for(yppp=(x+xp+ypp)%2; yppp<=1; yppp++) {
 204                   for(yppp=(x*(1+alpha[i]+beta[i])+xp*(1+alpha[i+3]+beta[i+3])+ypp)%2; yppp<=1; yppp++) {
 205                     //for(xppp=(yppp*(delta[j+3]+delta[j+4])+ypp)%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+ypp)%2; xppp++) {
 206                     //**for(xppp=(yppp*(delta[j+3]+delta[j+4])+x+xp+ypp)%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+x+xp+ypp)%2; xppp++) {
 207                     for(xppp=(yppp*(delta[j+3]+delta[j+4])+x*(1+alpha[i]+beta[i])+xp*(1+alpha[i+3]+beta[i+3])+ypp)%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+x*(1+alpha[i]+beta[i])+xp*(1+alpha[i+3]+beta[i+3])+ypp)%2; xppp++) {
 208                       //summand += (2.0*(0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2)))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*Gausssum1d(0.0,beta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(gamma[i+2]+delta[i+2])
 209                       summand += 2.0*(2.0*(0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2))*(pow(ypp-1,2)*(pow(xpp,2)*(gamma[j]+delta[j+1])+pow(xpp-1,2)*(gamma[j+1]+delta[j])))*(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*Gausssum1d(0.0,beta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(gamma[i+2]+delta[i+2])
 210                                        //+ 0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2)))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*csqrt(-I)*Gausssum1d(gamma[i+2]+delta[i+2],0)*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(alpha[i+2]+beta[i+2]))
 211                                        + 0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2))*(pow(ypp-1,2)*(pow(xpp,2)*(gamma[j]+delta[j+1])+pow(xpp-1,2)*(gamma[j+1]+delta[j])))*(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*csqrt(-I)*Gausssum1d(gamma[i+2]+delta[i+2],0)*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(alpha[i+2]+beta[i+2]))
 212                 *(0.125*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*Gausssum1d(0.0,beta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(gamma[i+5]+delta[i+5])
 213                   + 0.125*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*csqrt(-I)*Gausssum1d(gamma[i+5]+delta[i+5],0)*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(alpha[i+5]+beta[i+5])))
 214                         //*(2.0*(0.125*pow(2.0,(pow(ypp-1,2)*(pow(xpp,2)*(gamma[j]+delta[j+1])+pow(xpp-1,2)*(gamma[j+1]+delta[j])))*(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*(-I)*cexp(M_PI*I/2.0*(ypp*(delta[j]+delta[j+1])+pow(ypp+1,2)*(delta[j]+gamma[j+1]+2*beta[j+1])+pow(xpp,2)+2*(beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp)*xpp))*Gausssum1d(0,xpp+beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp+gamma[j+2]+delta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(alpha[j+2]+beta[j+2]))
 215                         *(2.0*(0.125*(-I)*cexp(M_PI*I/2.0*(ypp*(delta[j]+delta[j+1])+pow(ypp+1,2)*(delta[j]+gamma[j+1]+2*beta[j+1])+pow(xpp,2)+2*(beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp)*xpp))*Gausssum1d(0,xpp+beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp+gamma[j+2]+delta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(alpha[j+2]+beta[j+2]))
 216                           *(0.125*(-I)*cexp(M_PI*I/2.0*(yppp*(delta[j+3]+delta[j+4])+pow(yppp+1,2)*(delta[j+3]+gamma[j+4]+2*beta[j+4])+pow(xppp,2)+2*(beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp)*xppp))*Gausssum1d(0,xppp+beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp+gamma[j+5]+delta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(alpha[j+5]+beta[j+5])));
 217                     }
 218                   }
 219                 }
 220               }
 221             }
 222           }
 223         }
 224       }
 225
 226
 227       // second term
 228       for(y=0; y<=1; y++) {
 229         //**for(x=0;x<=(y*(gamma[i]+gamma[i+1])+(y+1)*(gamma[i]+delta[i+1]))%2; x++) {
 230         for(x=y*(beta[i]+alpha[i+1]+beta[i+1])%2;x<=(y*(beta[i]+alpha[i+1]+beta[i+1])+y*(gamma[i]+gamma[i+1])+(y+1)*(gamma[i]+delta[i+1]))%2; x++) {
 231           for(yp=0; yp<=(1+alpha[i+5])%2; yp++) {
 232             for(xp=0;xp<=(1+beta[i+5])%2; xp++) {
 233               for(ypp=0; ypp<=1; ypp++) {
 234                 //**for(xpp=0;xpp<=(ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
 235                 for(xpp=ypp*(beta[j]+alpha[j+1]+beta[j+1])%2;xpp<=(ypp*(beta[j]+alpha[j+1]+beta[j+1])+ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
 236                   for(yppp=((gamma[j+3]+delta[j+4])*xpp)%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*xpp)%2; yppp++) {
 237                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 238                     for(xppp=yppp*(beta[j+3]+alpha[j+4]+beta[j+4])%2;xppp<=(yppp*(beta[j+3]+alpha[j+4]+beta[j+4])+yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 239                       summand += ((0.125*pow(2.0,1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*Gausssum1d(0.0,beta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(gamma[i+2]+delta[i+2])
 240                           + 0.125*pow(2.0,1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*csqrt(-I)*Gausssum1d(gamma[i+2]+delta[i+2],0)*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(alpha[i+2]+beta[i+2]))
 241                                   *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+5]*yp+pow(xp+1,2)*(delta[i+3]+gamma[i+4]+2.0*beta[i+4])+xp*(delta[i+3]+delta[i+4])))*Gausssum1d(1,beta[i+3]+beta[i+4]+delta[i+3]+(xp+1)*gamma[i+4]+xp*delta[i+4])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(gamma[i+5]+delta[i+5])))
 242                         *(2.0*(0.125*pow(2.0,(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2)))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*Gausssum1d(0.0,beta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(gamma[j+2]+delta[j+2])
 243                               + 0.125*pow(2.0,(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2)))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*csqrt(-I)*Gausssum1d(gamma[j+2]+delta[j+2],0)*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(alpha[j+2]+beta[j+2]))
 244                         *(0.125*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*Gausssum1d(0.0,beta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(gamma[j+5]+delta[j+5])
 245                           + 0.125*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*csqrt(-I)*Gausssum1d(gamma[j+5]+delta[j+5],0)*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(alpha[j+5]+beta[j+5])));
 246                     }
 247                   }
 248                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
 249                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
 250                       summand += ((0.125*pow(2.0,1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*Gausssum1d(0.0,beta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(gamma[i+2]+delta[i+2])
 251                           + 0.125*pow(2.0,1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*csqrt(-I)*Gausssum1d(gamma[i+2]+delta[i+2],0)*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(alpha[i+2]+beta[i+2]))
 252                                   *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+5]*yp+pow(xp+1,2)*(delta[i+3]+gamma[i+4]+2.0*beta[i+4])+xp*(delta[i+3]+delta[i+4])))*Gausssum1d(1,beta[i+3]+beta[i+4]+delta[i+3]+(xp+1)*gamma[i+4]+xp*delta[i+4])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(gamma[i+5]+delta[i+5])))
 253                         *((0.125*pow(2.0,1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*Gausssum1d(0.0,beta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(gamma[j+2]+delta[j+2])
 254                                   + 0.125*pow(2.0,1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*csqrt(-I)*Gausssum1d(gamma[j+2]+delta[j+2],0)*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(alpha[j+2]+beta[j+2]))
 255                           *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+5]*yppp+pow(xppp+1,2)*(delta[j+3]+gamma[j+4]+2.0*beta[j+4])+xppp*(delta[j+3]+delta[j+4])))*Gausssum1d(1,beta[j+3]+beta[j+4]+delta[j+3]+(xppp+1)*gamma[j+4]+xppp*delta[j+4])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(gamma[j+5]+delta[j+5])));
 256                     }
 257                   }
 258                   //**for(yppp=xpp; yppp<=1; yppp++) {
 259                   for(yppp=xpp*(1+alpha[j]+beta[j])%2; yppp<=1; yppp++) {
 260                     //**for(xppp=(yppp*(delta[j+3]+delta[j+4])+xpp)%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+xpp)%2; xppp++) {
 261                     for(xppp=(yppp*(delta[j+3]+delta[j+4])+xpp*(1+alpha[j]+beta[j]))%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+xpp*(1+alpha[j]+beta[j]))%2; xppp++) {
 262                       summand += ((0.125*pow(2.0,1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*Gausssum1d(0.0,beta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(gamma[i+2]+delta[i+2])
 263                           + 0.125*pow(2.0,1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*csqrt(-I)*Gausssum1d(gamma[i+2]+delta[i+2],0)*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(alpha[i+2]+beta[i+2]))
 264                                   *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+5]*yp+pow(xp+1,2)*(delta[i+3]+gamma[i+4]+2.0*beta[i+4])+xp*(delta[i+3]+delta[i+4])))*Gausssum1d(1,beta[i+3]+beta[i+4]+delta[i+3]+(xp+1)*gamma[i+4]+xp*delta[i+4])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(gamma[i+5]+delta[i+5])))
 265                         *(2.0*(0.125*pow(2.0,(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*Gausssum1d(0.0,beta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(gamma[j+2]+delta[j+2])
 266                                       + 0.125*pow(2.0,(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*csqrt(-I)*Gausssum1d(gamma[j+2]+delta[j+2],0)*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(alpha[j+2]+beta[j+2]))
 267                           *(0.125*(-I)*cexp(M_PI*I/2.0*(yppp*(delta[j+3]+delta[j+4])+pow(yppp+1,2)*(delta[j+3]+gamma[j+4]+2*beta[j+4])+pow(xppp,2)+2*(beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp)*xppp))*Gausssum1d(0,xppp+beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp+gamma[j+5]+delta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(alpha[j+5]+beta[j+5])));
 268                     }
 269                   }
 270                 }
 271               }
 272
 273               for(ypp=0; ypp<=(1+alpha[j+2])%2; ypp++) {
 274                 for(xpp=0; xpp<=(1+beta[j+2])%2; xpp++) {
 275                   for(yppp=0; yppp<=1; yppp++) {
 276                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 277                     for(xppp=yppp*(beta[j+3]+alpha[j+4]+beta[j+4])%2;xppp<=(yppp*(beta[j+3]+alpha[j+4]+beta[j+4])+yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 278                       summand += ((0.125*pow(2.0,1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*Gausssum1d(0.0,beta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(gamma[i+2]+delta[i+2])
 279                           + 0.125*pow(2.0,1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*csqrt(-I)*Gausssum1d(gamma[i+2]+delta[i+2],0)*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(alpha[i+2]+beta[i+2]))
 280                                   *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+5]*yp+pow(xp+1,2)*(delta[i+3]+gamma[i+4]+2.0*beta[i+4])+xp*(delta[i+3]+delta[i+4])))*Gausssum1d(1,beta[i+3]+beta[i+4]+delta[i+3]+(xp+1)*gamma[i+4]+xp*delta[i+4])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(gamma[i+5]+delta[i+5])))
 281                         *((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+2]*ypp+pow(xpp+1,2)*(delta[j]+gamma[j+1]+2.0*beta[j+1])+xpp*(delta[j]+delta[j+1])))*Gausssum1d(1,beta[j]+beta[j+1]+delta[j]+(xpp+1)*gamma[j+1]+xpp*delta[j+1])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(gamma[j+2]+delta[j+2]))
 282                           *(0.125*pow(2.0,1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2))*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*Gausssum1d(0.0,beta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(gamma[j+5]+delta[j+5])
 283                             + 0.125*pow(2.0,1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2))*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*csqrt(-I)*Gausssum1d(gamma[j+5]+delta[j+5],0)*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(alpha[j+5]+beta[j+5])));
 284                     }
 285                   }
 286                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
 287                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
 288                       summand += ((0.125*pow(2.0,1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*Gausssum1d(0.0,beta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(gamma[i+2]+delta[i+2])
 289                           + 0.125*pow(2.0,1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*csqrt(-I)*Gausssum1d(gamma[i+2]+delta[i+2],0)*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(alpha[i+2]+beta[i+2]))
 290                                   *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+5]*yp+pow(xp+1,2)*(delta[i+3]+gamma[i+4]+2.0*beta[i+4])+xp*(delta[i+3]+delta[i+4])))*Gausssum1d(1,beta[i+3]+beta[i+4]+delta[i+3]+(xp+1)*gamma[i+4]+xp*delta[i+4])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(gamma[i+5]+delta[i+5])))
 291                         *((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+2]*ypp+pow(xpp+1,2)*(delta[j]+gamma[j+1]+2.0*beta[j+1])+xpp*(delta[j]+delta[j+1])))*Gausssum1d(1,beta[j]+beta[j+1]+delta[j]+(xpp+1)*gamma[j+1]+xpp*delta[j+1])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(gamma[j+2]+delta[j+2]))
 292                           *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+5]*yppp+pow(xppp+1,2)*(delta[j+3]+gamma[j+4]+2.0*beta[j+4])+xppp*(delta[j+3]+delta[j+4])))*Gausssum1d(1,beta[j+3]+beta[j+4]+delta[j+3]+(xppp+1)*gamma[j+4]+xppp*delta[j+4])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(gamma[j+5]+delta[j+5])));
 293                     }
 294                   }
 295                   for(yppp=0; yppp<=1; yppp++) {
 296                     for(xppp=(yppp*(delta[j+3]+delta[j+4]))%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4]))%2; xppp++) {
 297                       summand += ((0.125*pow(2.0,1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*Gausssum1d(0.0,beta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(gamma[i+2]+delta[i+2])
 298                           + 0.125*pow(2.0,1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*csqrt(-I)*Gausssum1d(gamma[i+2]+delta[i+2],0)*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(alpha[i+2]+beta[i+2]))
 299                                   *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+5]*yp+pow(xp+1,2)*(delta[i+3]+gamma[i+4]+2.0*beta[i+4])+xp*(delta[i+3]+delta[i+4])))*Gausssum1d(1,beta[i+3]+beta[i+4]+delta[i+3]+(xp+1)*gamma[i+4]+xp*delta[i+4])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(gamma[i+5]+delta[i+5])))
 300                         *((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+2]*ypp+pow(xpp+1,2)*(delta[j]+gamma[j+1]+2.0*beta[j+1])+xpp*(delta[j]+delta[j+1])))*Gausssum1d(1,beta[j]+beta[j+1]+delta[j]+(xpp+1)*gamma[j+1]+xpp*delta[j+1])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(gamma[j+2]+delta[j+2]))
 301                           *(0.125*(-I)*pow(2.0,(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*cexp(M_PI*I/2.0*(yppp*(delta[j+3]+delta[j+4])+pow(yppp+1,2)*(delta[j+3]+gamma[j+4]+2*beta[j+4])+pow(xppp,2)+2*(beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp)*xppp))*Gausssum1d(0,xppp+beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp+gamma[j+5]+delta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(alpha[j+5]+beta[j+5])));
 302                     }
 303                   }
 304                 }
 305               }
 306
 307               for(ypp=0; ypp<=1; ypp++) {
 308                 for(xpp=(ypp*(delta[j]+delta[j+1]))%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1]))%2; xpp++) {
 309                   for(yppp=((gamma[j+3]+delta[j+4])*ypp)%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*ypp)%2; yppp++) {
 310                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 311                     for(xppp=yppp*(beta[j+3]+alpha[j+4]+beta[j+4])%2;xppp<=(yppp*(beta[j+3]+alpha[j+4]+beta[j+4])+yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 312                       summand += ((0.125*pow(2.0,1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*Gausssum1d(0.0,beta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(gamma[i+2]+delta[i+2])
 313                           + 0.125*pow(2.0,1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*csqrt(-I)*Gausssum1d(gamma[i+2]+delta[i+2],0)*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(alpha[i+2]+beta[i+2]))
 314                                   *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+5]*yp+pow(xp+1,2)*(delta[i+3]+gamma[i+4]+2.0*beta[i+4])+xp*(delta[i+3]+delta[i+4])))*Gausssum1d(1,beta[i+3]+beta[i+4]+delta[i+3]+(xp+1)*gamma[i+4]+xp*delta[i+4])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(gamma[i+5]+delta[i+5])))
 315                         *(2.0*(0.125*pow(2.0,(pow(ypp-1,2)*(pow(xpp,2)*(gamma[j]+delta[j+1])+pow(xpp-1,2)*(gamma[j+1]+delta[j])))*(1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2)))*(-I)*cexp(M_PI*I/2.0*(ypp*(delta[j]+delta[j+1])+pow(ypp+1,2)*(delta[j]+gamma[j+1]+2*beta[j+1])+pow(xpp,2)+2*(beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp)*xpp))*Gausssum1d(0,xpp+beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp+gamma[j+2]+delta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(alpha[j+2]+beta[j+2]))
 316                           *(0.125*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*Gausssum1d(0.0,beta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(gamma[j+5]+delta[j+5])
 317                             + 0.125*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*csqrt(-I)*Gausssum1d(gamma[j+5]+delta[j+5],0)*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(alpha[j+5]+beta[j+5])));
 318                     }
 319                   }
 320                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
 321                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
 322                       summand += ((0.125*pow(2.0,1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*Gausssum1d(0.0,beta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(gamma[i+2]+delta[i+2])
 323                           + 0.125*pow(2.0,1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*csqrt(-I)*Gausssum1d(gamma[i+2]+delta[i+2],0)*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(alpha[i+2]+beta[i+2]))
 324                                   *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+5]*yp+pow(xp+1,2)*(delta[i+3]+gamma[i+4]+2.0*beta[i+4])+xp*(delta[i+3]+delta[i+4])))*Gausssum1d(1,beta[i+3]+beta[i+4]+delta[i+3]+(xp+1)*gamma[i+4]+xp*delta[i+4])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(gamma[i+5]+delta[i+5])))
 325                         *((0.125*pow(2.0,pow(ypp-1,2)*(pow(xpp,2)*(gamma[j]+delta[j+1])+pow(xpp-1,2)*(gamma[j+1]+delta[j])))*(-I)*cexp(M_PI*I/2.0*(ypp*(delta[j]+delta[j+1])+pow(ypp+1,2)*(delta[j]+gamma[j+1]+2*beta[j+1])+pow(xpp,2)+2*(beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp)*xpp))*Gausssum1d(0,xpp+beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp+gamma[j+2]+delta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(alpha[j+2]+beta[j+2]))
 326                           *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+5]*yppp+pow(xppp+1,2)*(delta[j+3]+gamma[j+4]+2.0*beta[j+4])+xppp*(delta[j+3]+delta[j+4])))*Gausssum1d(1,beta[j+3]+beta[j+4]+delta[j+3]+(xppp+1)*gamma[j+4]+xppp*delta[j+4])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(gamma[j+5]+delta[j+5])));
 327                     }
 328                   }
 329                   for(yppp=ypp; yppp<=1; yppp++) {
 330                     for(xppp=(yppp*(delta[j+3]+delta[j+4])+ypp)%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+ypp)%2; xppp++) {
 331                       summand += ((0.125*pow(2.0,1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*Gausssum1d(0.0,beta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(gamma[i+2]+delta[i+2])
 332                           + 0.125*pow(2.0,1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*csqrt(-I)*Gausssum1d(gamma[i+2]+delta[i+2],0)*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(alpha[i+2]+beta[i+2]))
 333                                   *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+5]*yp+pow(xp+1,2)*(delta[i+3]+gamma[i+4]+2.0*beta[i+4])+xp*(delta[i+3]+delta[i+4])))*Gausssum1d(1,beta[i+3]+beta[i+4]+delta[i+3]+(xp+1)*gamma[i+4]+xp*delta[i+4])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(gamma[i+5]+delta[i+5])))
 334                         *(2.0*(0.125*pow(2.0,(pow(ypp-1,2)*(pow(xpp,2)*(gamma[j]+delta[j+1])+pow(xpp-1,2)*(gamma[j+1]+delta[j])))*(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*(-I)*cexp(M_PI*I/2.0*(ypp*(delta[j]+delta[j+1])+pow(ypp+1,2)*(delta[j]+gamma[j+1]+2*beta[j+1])+pow(xpp,2)+2*(beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp)*xpp))*Gausssum1d(0,xpp+beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp+gamma[j+2]+delta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(alpha[j+2]+beta[j+2]))
 335                           *(0.125*(-I)*cexp(M_PI*I/2.0*(yppp*(delta[j+3]+delta[j+4])+pow(yppp+1,2)*(delta[j+3]+gamma[j+4]+2*beta[j+4])+pow(xppp,2)+2*(beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp)*xppp))*Gausssum1d(0,xppp+beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp+gamma[j+5]+delta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(alpha[j+5]+beta[j+5])));
 336                     }
 337                   }
 338                 }
 339               }
 340             }
 341           }
 342         }
 343       }
 344
 345
 346       // third term
 347       for(y=0; y<=1; y++) {
 348         //**for(x=0;x<=(y*(gamma[i]+gamma[i+1])+(y+1)*(gamma[i]+delta[i+1]))%2; x++) {
 349         for(x=y*(beta[i]+alpha[i+1]+beta[i+1])%2;x<=(y*(beta[i]+alpha[i+1]+beta[i+1])+y*(gamma[i]+gamma[i+1])+(y+1)*(gamma[i]+delta[i+1]))%2; x++) {
 350           //**for(yp=x; yp<=1; yp++) {
 351           for(yp=x*(1+alpha[i]+beta[i])%2; yp<=1; yp++) {
 352             //**for(xp=(yp*(delta[i+3]+delta[i+4])+x)%2;xp<=(1+yp*(gamma[i+3]+gamma[i+4])+x)%2; xp++) {
 353             for(xp=(yp*(delta[i+3]+delta[i+4])+x*(1+alpha[i]+beta[i]))%2;xp<=(1+yp*(gamma[i+3]+gamma[i+4])+x*(1+alpha[i]+beta[i]))%2; xp++) {
 354               //for(ypp=0; ypp<=1; ypp++) {
 355               for(ypp=((gamma[j]+delta[j+1])*(x+yp))%2;ypp<=(1+(gamma[j]+gamma[j+1])*(x+yp))%2;ypp++) {
 356               //****for(ypp=((gamma[j]+delta[j+1])*(x*(1+alpha[i]+beta[i])+yp))%2;ypp<=(1+(gamma[j]+gamma[j+1])*(x*(1+alpha[i]+beta[i])+yp))%2;ypp++) {
 357                 //**for(xpp=0;xpp<=(ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
 358                 for(xpp=ypp*(beta[j]+alpha[j+1]+beta[j+1])%2;xpp<=(ypp*(beta[j]+alpha[j+1]+beta[j+1])+ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
 359                   //for(yppp=((gamma[j+3]+delta[j+4])*xpp)%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*xpp)%2; yppp++) {
 360                   for(yppp=((gamma[j+3]+delta[j+4])*(x+yp+xpp))%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*(x+yp+xpp))%2; yppp++) {
 361                   //****for(yppp=((gamma[j+3]+delta[j+4])*(x*(1+alpha[i]+beta[i])+yp+xpp*(1+alpha[j]+beta[j])))%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*(x*(1+alpha[i]+beta[i])+yp+xpp*(1+alpha[j]+beta[j])))%2; yppp++) {
 362                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 363                     for(xppp=yppp*(beta[j+3]+alpha[j+4]+beta[j+4])%2;xppp<=(yppp*(beta[j+3]+alpha[j+4]+beta[j+4])+yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 364                       //summand += (2.0*(0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3]))))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*Gausssum1d(0.0,beta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(gamma[i+2]+delta[i+2])
 365                       summand += 2.0*(2.0*(0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3])))*(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2)))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*Gausssum1d(0.0,beta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(gamma[i+2]+delta[i+2])
 366                                        //+ 0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3]))))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*csqrt(-I)*Gausssum1d(gamma[i+2]+delta[i+2],0)*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(alpha[i+2]+beta[i+2]))
 367                                        + 0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3])))*(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2)))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*csqrt(-I)*Gausssum1d(gamma[i+2]+delta[i+2],0)*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(alpha[i+2]+beta[i+2]))
 368                                   *(0.125*(-I)*cexp(M_PI*I/2.0*(yp*(delta[i+3]+delta[i+4])+pow(yp+1,2)*(delta[i+3]+gamma[i+4]+2*beta[i+4])+pow(xp,2)+2*(beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp)*xp))*Gausssum1d(0,xp+beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp+gamma[i+5]+delta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(alpha[i+5]+beta[i+5])))
 369                         //*(2.0*(0.125*pow(2.0,(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2)))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*Gausssum1d(0.0,beta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(gamma[j+2]+delta[j+2])
 370                         *(2.0*(0.125*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*Gausssum1d(0.0,beta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(gamma[j+2]+delta[j+2])
 371                                //+ 0.125*pow(2.0,(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2)))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*csqrt(-I)*Gausssum1d(gamma[j+2]+delta[j+2],0)*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(alpha[j+2]+beta[j+2]))
 372                               + 0.125*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*csqrt(-I)*Gausssum1d(gamma[j+2]+delta[j+2],0)*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(alpha[j+2]+beta[j+2]))
 373                         *(0.125*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*Gausssum1d(0.0,beta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(gamma[j+5]+delta[j+5])
 374                           + 0.125*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*csqrt(-I)*Gausssum1d(gamma[j+5]+delta[j+5],0)*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(alpha[j+5]+beta[j+5])));
 375                     }
 376                   }
 377                 }
 378               }
 379               //for(ypp=0; ypp<=1; ypp++) {
 380               for(ypp=((gamma[j]+delta[j+1])*(x+yp))%2;ypp<=(1+(gamma[j]+gamma[j+1])*(x+yp))%2;ypp++) {
 381                 //**for(xpp=0;xpp<=(ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
 382                 for(xpp=ypp*(beta[j]+alpha[j+1]+beta[j+1])%2;xpp<=(ypp*(beta[j]+alpha[j+1]+beta[j+1])+ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
 383                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
 384                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
 385                       summand += (2.0*(0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3]))))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*Gausssum1d(0.0,beta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(gamma[i+2]+delta[i+2])
 386                                        + 0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3]))))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*csqrt(-I)*Gausssum1d(gamma[i+2]+delta[i+2],0)*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(alpha[i+2]+beta[i+2]))
 387                                   *(0.125*(-I)*cexp(M_PI*I/2.0*(yp*(delta[i+3]+delta[i+4])+pow(yp+1,2)*(delta[i+3]+gamma[i+4]+2*beta[i+4])+pow(xp,2)+2*(beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp)*xp))*Gausssum1d(0,xp+beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp+gamma[i+5]+delta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(alpha[i+5]+beta[i+5])))
 388                         *((0.125*pow(2.0,1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*Gausssum1d(0.0,beta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(gamma[j+2]+delta[j+2])
 389                                   + 0.125*pow(2.0,1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*csqrt(-I)*Gausssum1d(gamma[j+2]+delta[j+2],0)*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(alpha[j+2]+beta[j+2]))
 390                           *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+5]*yppp+pow(xppp+1,2)*(delta[j+3]+gamma[j+4]+2.0*beta[j+4])+xppp*(delta[j+3]+delta[j+4])))*Gausssum1d(1,beta[j+3]+beta[j+4]+delta[j+3]+(xppp+1)*gamma[j+4]+xppp*delta[j+4])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(gamma[j+5]+delta[j+5])));
 391                     }
 392                   }
 393                 }
 394               }
 395               //for(ypp=0; ypp<=1; ypp++) {
 396               for(ypp=((gamma[j]+delta[j+1])*(x+yp))%2;ypp<=(1+(gamma[j]+gamma[j+1])*(x+yp))%2;ypp++) {
 397               //****for(ypp=((gamma[j]+delta[j+1])*(x*(1+alpha[i]+beta[i])+yp))%2;ypp<=(1+(gamma[j]+gamma[j+1])*(x*(1+alpha[i]+beta[i])+yp))%2;ypp++) {
 398                 //**for(xpp=0;xpp<=(ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
 399                 for(xpp=ypp*(beta[j]+alpha[j+1]+beta[j+1])%2;xpp<=(ypp*(beta[j]+alpha[j+1]+beta[j+1])+ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
 400                   //for(yppp=xpp; yppp<=1; yppp++) {
 401                   //**for(yppp=(x+yp+xpp)%2; yppp<=1; yppp++) {
 402                   for(yppp=(x*(1+alpha[i]+beta[i])+yp+xpp*(1+alpha[j]+beta[j]))%2; yppp<=1; yppp++) {
 403                     //for(xppp=(yppp*(delta[j+3]+delta[j+4])+xpp)%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+xpp)%2; xppp++) {
 404                     //**for(xppp=(yppp*(delta[j+3]+delta[j+4])+(x+yp+xpp))%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+(x+yp+xpp))%2; xppp++) {
 405                     for(xppp=(yppp*(delta[j+3]+delta[j+4])+(x*(1+alpha[i]+beta[i])+yp+xpp*(1+alpha[j]+beta[j])))%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+(x*(1+alpha[i]+beta[i])+yp+xpp*(1+alpha[j]+beta[j])))%2; xppp++) {
 406                       //summand += (2.0*(0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3]))))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*Gausssum1d(0.0,beta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(gamma[i+2]+delta[i+2])
 407                       summand += 2.0*(2.0*(0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3])))*(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*Gausssum1d(0.0,beta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(gamma[i+2]+delta[i+2])
 408                                        //+ 0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3]))))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*csqrt(-I)*Gausssum1d(gamma[i+2]+delta[i+2],0)*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(alpha[i+2]+beta[i+2]))
 409                                            + 0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3])))*(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*csqrt(-I)*Gausssum1d(gamma[i+2]+delta[i+2],0)*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(alpha[i+2]+beta[i+2]))
 410                                   *(0.125*(-I)*cexp(M_PI*I/2.0*(yp*(delta[i+3]+delta[i+4])+pow(yp+1,2)*(delta[i+3]+gamma[i+4]+2*beta[i+4])+pow(xp,2)+2*(beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp)*xp))*Gausssum1d(0,xp+beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp+gamma[i+5]+delta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(alpha[i+5]+beta[i+5])))
 411                         //*(2.0*(0.125*pow(2.0,(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*Gausssum1d(0.0,beta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(gamma[j+2]+delta[j+2])
 412                         *(2.0*(0.125*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*Gausssum1d(0.0,beta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(gamma[j+2]+delta[j+2])
 413                                //+ 0.125*pow(2.0,(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*csqrt(-I)*Gausssum1d(gamma[j+2]+delta[j+2],0)*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(alpha[j+2]+beta[j+2]))
 414                                + 0.125*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*csqrt(-I)*Gausssum1d(gamma[j+2]+delta[j+2],0)*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(alpha[j+2]+beta[j+2]))
 415                           *(0.125*(-I)*cexp(M_PI*I/2.0*(yppp*(delta[j+3]+delta[j+4])+pow(yppp+1,2)*(delta[j+3]+gamma[j+4]+2*beta[j+4])+pow(xppp,2)+2*(beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp)*xppp))*Gausssum1d(0,xppp+beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp+gamma[j+5]+delta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(alpha[j+5]+beta[j+5])));
 416                     }
 417                   }
 418                 }
 419               }
 420
 421               for(ypp=0; ypp<=(1+alpha[j+2])%2; ypp++) {
 422                 for(xpp=0; xpp<=(1+beta[j+2])%2; xpp++) {
 423                   for(yppp=0; yppp<=1; yppp++) {
 424                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 425                     for(xppp=yppp*(beta[j+3]+alpha[j+4]+beta[j+4])%2;xppp<=(yppp*(beta[j+3]+alpha[j+4]+beta[j+4])+yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 426                       summand += (2.0*(0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3]))))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*Gausssum1d(0.0,beta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(gamma[i+2]+delta[i+2])
 427                                        + 0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3]))))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*csqrt(-I)*Gausssum1d(gamma[i+2]+delta[i+2],0)*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(alpha[i+2]+beta[i+2]))
 428                                   *(0.125*(-I)*cexp(M_PI*I/2.0*(yp*(delta[i+3]+delta[i+4])+pow(yp+1,2)*(delta[i+3]+gamma[i+4]+2*beta[i+4])+pow(xp,2)+2*(beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp)*xp))*Gausssum1d(0,xp+beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp+gamma[i+5]+delta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(alpha[i+5]+beta[i+5])))
 429                         *((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+2]*ypp+pow(xpp+1,2)*(delta[j]+gamma[j+1]+2.0*beta[j+1])+xpp*(delta[j]+delta[j+1])))*Gausssum1d(1,beta[j]+beta[j+1]+delta[j]+(xpp+1)*gamma[j+1]+xpp*delta[j+1])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(gamma[j+2]+delta[j+2]))
 430                           *(0.125*pow(2.0,1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2))*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*Gausssum1d(0.0,beta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(gamma[j+5]+delta[j+5])
 431                             + 0.125*pow(2.0,1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2))*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*csqrt(-I)*Gausssum1d(gamma[j+5]+delta[j+5],0)*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(alpha[j+5]+beta[j+5])));
 432                     }
 433                   }
 434                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
 435                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
 436                       summand += (2.0*(0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3]))))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*Gausssum1d(0.0,beta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(gamma[i+2]+delta[i+2])
 437                                        + 0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3]))))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*csqrt(-I)*Gausssum1d(gamma[i+2]+delta[i+2],0)*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(alpha[i+2]+beta[i+2]))
 438                                   *(0.125*(-I)*cexp(M_PI*I/2.0*(yp*(delta[i+3]+delta[i+4])+pow(yp+1,2)*(delta[i+3]+gamma[i+4]+2*beta[i+4])+pow(xp,2)+2*(beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp)*xp))*Gausssum1d(0,xp+beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp+gamma[i+5]+delta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(alpha[i+5]+beta[i+5])))
 439                         *((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+2]*ypp+pow(xpp+1,2)*(delta[j]+gamma[j+1]+2.0*beta[j+1])+xpp*(delta[j]+delta[j+1])))*Gausssum1d(1,beta[j]+beta[j+1]+delta[j]+(xpp+1)*gamma[j+1]+xpp*delta[j+1])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(gamma[j+2]+delta[j+2]))
 440                           *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+5]*yppp+pow(xppp+1,2)*(delta[j+3]+gamma[j+4]+2.0*beta[j+4])+xppp*(delta[j+3]+delta[j+4])))*Gausssum1d(1,beta[j+3]+beta[j+4]+delta[j+3]+(xppp+1)*gamma[j+4]+xppp*delta[j+4])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(gamma[j+5]+delta[j+5])));
 441                     }
 442                   }
 443                   for(yppp=0; yppp<=1; yppp++) {
 444                     for(xppp=(yppp*(delta[j+3]+delta[j+4]))%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4]))%2; xppp++) {
 445                       summand += (2.0*(0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3]))))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*Gausssum1d(0.0,beta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(gamma[i+2]+delta[i+2])
 446                                        + 0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3]))))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*csqrt(-I)*Gausssum1d(gamma[i+2]+delta[i+2],0)*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(alpha[i+2]+beta[i+2]))
 447                                   *(0.125*(-I)*cexp(M_PI*I/2.0*(yp*(delta[i+3]+delta[i+4])+pow(yp+1,2)*(delta[i+3]+gamma[i+4]+2*beta[i+4])+pow(xp,2)+2*(beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp)*xp))*Gausssum1d(0,xp+beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp+gamma[i+5]+delta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(alpha[i+5]+beta[i+5])))
 448                         *((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+2]*ypp+pow(xpp+1,2)*(delta[j]+gamma[j+1]+2.0*beta[j+1])+xpp*(delta[j]+delta[j+1])))*Gausssum1d(1,beta[j]+beta[j+1]+delta[j]+(xpp+1)*gamma[j+1]+xpp*delta[j+1])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(gamma[j+2]+delta[j+2]))
 449                           *(0.125*(-I)*pow(2.0,(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*cexp(M_PI*I/2.0*(yppp*(delta[j+3]+delta[j+4])+pow(yppp+1,2)*(delta[j+3]+gamma[j+4]+2*beta[j+4])+pow(xppp,2)+2*(beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp)*xppp))*Gausssum1d(0,xppp+beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp+gamma[j+5]+delta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(alpha[j+5]+beta[j+5])));
 450                     }
 451                   }
 452                 }
 453               }
 454
 455               //for(ypp=0; ypp<=1; ypp++) {
 456               //**for(ypp=(x+yp)%2; ypp<=1; ypp++) {
 457               for(ypp=(x*(1+alpha[i]+beta[i])+yp)%2; ypp<=1; ypp++) {
 458                 //for(xpp=(ypp*(delta[j]+delta[j+1]))%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1]))%2; xpp++) {
 459                 //**for(xpp=(ypp*(delta[j]+delta[j+1])+x+yp)%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1])+x+yp)%2; xpp++) {
 460                 for(xpp=(ypp*(delta[j]+delta[j+1])+x*(1+alpha[i]+beta[i])+yp)%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1])+x*(1+alpha[i]+beta[i])+yp)%2; xpp++) {
 461                   //for(yppp=((gamma[j+3]+delta[j+4])*ypp)%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*ypp)%2; yppp++) {
 462                   for(yppp=((gamma[j+3]+delta[j+4])*(x+yp+ypp))%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*(x+yp+ypp))%2; yppp++) {
 463                   //****for(yppp=((gamma[j+3]+delta[j+4])*(x*(1+alpha[i]+beta[i])+yp+ypp))%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*(x*(1+alpha[i]+beta[i])+yp+ypp))%2; yppp++) {
 464                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 465                     for(xppp=yppp*(beta[j+3]+alpha[j+4]+beta[j+4])%2;xppp<=(yppp*(beta[j+3]+alpha[j+4]+beta[j+4])+yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 466                       //summand += (2.0*(0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3]))))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*Gausssum1d(0.0,beta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(gamma[i+2]+delta[i+2])
 467                       summand += 2.0*(2.0*(0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3])))*(pow(ypp-1,2)*(pow(xpp,2)*(gamma[j]+delta[j+1])+pow(xpp-1,2)*(gamma[j+1]+delta[j])))*(1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2)))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*Gausssum1d(0.0,beta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(gamma[i+2]+delta[i+2])
 468                                        //+ 0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3]))))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*csqrt(-I)*Gausssum1d(gamma[i+2]+delta[i+2],0)*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(alpha[i+2]+beta[i+2]))
 469                                        + 0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3])))*(pow(ypp-1,2)*(pow(xpp,2)*(gamma[j]+delta[j+1])+pow(xpp-1,2)*(gamma[j+1]+delta[j])))*(1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2)))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*csqrt(-I)*Gausssum1d(gamma[i+2]+delta[i+2],0)*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(alpha[i+2]+beta[i+2]))
 470                                   *(0.125*(-I)*cexp(M_PI*I/2.0*(yp*(delta[i+3]+delta[i+4])+pow(yp+1,2)*(delta[i+3]+gamma[i+4]+2*beta[i+4])+pow(xp,2)+2*(beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp)*xp))*Gausssum1d(0,xp+beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp+gamma[i+5]+delta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(alpha[i+5]+beta[i+5])))
 471                         //*(2.0*(0.125*pow(2.0,(pow(ypp-1,2)*(pow(xpp,2)*(gamma[j]+delta[j+1])+pow(xpp-1,2)*(gamma[j+1]+delta[j])))*(1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2)))*(-I)*cexp(M_PI*I/2.0*(ypp*(delta[j]+delta[j+1])+pow(ypp+1,2)*(delta[j]+gamma[j+1]+2*beta[j+1])+pow(xpp,2)+2*(beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp)*xpp))*Gausssum1d(0,xpp+beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp+gamma[j+2]+delta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(alpha[j+2]+beta[j+2]))
 472                         *(2.0*(0.125*(-I)*cexp(M_PI*I/2.0*(ypp*(delta[j]+delta[j+1])+pow(ypp+1,2)*(delta[j]+gamma[j+1]+2*beta[j+1])+pow(xpp,2)+2*(beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp)*xpp))*Gausssum1d(0,xpp+beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp+gamma[j+2]+delta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(alpha[j+2]+beta[j+2]))
 473                           *(0.125*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*Gausssum1d(0.0,beta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(gamma[j+5]+delta[j+5])
 474                             + 0.125*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*csqrt(-I)*Gausssum1d(gamma[j+5]+delta[j+5],0)*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(alpha[j+5]+beta[j+5])));
 475                     }
 476                   }
 477                 }
 478               }
 479               for(ypp=0; ypp<=1; ypp++) {
 480                 for(xpp=(ypp*(delta[j]+delta[j+1]))%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1]))%2; xpp++) {
 481                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
 482                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
 483                       summand += (2.0*(0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3]))))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*Gausssum1d(0.0,beta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(gamma[i+2]+delta[i+2])
 484                                        + 0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3]))))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*csqrt(-I)*Gausssum1d(gamma[i+2]+delta[i+2],0)*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(alpha[i+2]+beta[i+2]))
 485                                   *(0.125*(-I)*cexp(M_PI*I/2.0*(yp*(delta[i+3]+delta[i+4])+pow(yp+1,2)*(delta[i+3]+gamma[i+4]+2*beta[i+4])+pow(xp,2)+2*(beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp)*xp))*Gausssum1d(0,xp+beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp+gamma[i+5]+delta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(alpha[i+5]+beta[i+5])))
 486                         *((0.125*pow(2.0,pow(ypp-1,2)*(pow(xpp,2)*(gamma[j]+delta[j+1])+pow(xpp-1,2)*(gamma[j+1]+delta[j])))*(-I)*cexp(M_PI*I/2.0*(ypp*(delta[j]+delta[j+1])+pow(ypp+1,2)*(delta[j]+gamma[j+1]+2*beta[j+1])+pow(xpp,2)+2*(beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp)*xpp))*Gausssum1d(0,xpp+beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp+gamma[j+2]+delta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(alpha[j+2]+beta[j+2]))
 487                           *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+5]*yppp+pow(xppp+1,2)*(delta[j+3]+gamma[j+4]+2.0*beta[j+4])+xppp*(delta[j+3]+delta[j+4])))*Gausssum1d(1,beta[j+3]+beta[j+4]+delta[j+3]+(xppp+1)*gamma[j+4]+xppp*delta[j+4])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(gamma[j+5]+delta[j+5])));
 488                     }
 489                   }
 490                 }
 491               }
 492               //for(ypp=0; ypp<=1; ypp++) {
 493               //**for(ypp=(x+yp)%2; ypp<=1; ypp++) {
 494               for(ypp=(x*(1+alpha[i]+beta[i])+yp)%2; ypp<=1; ypp++) {
 495                 //for(xpp=(ypp*(delta[j]+delta[j+1]))%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1]))%2; xpp++) {
 496                 //**for(xpp=(ypp*(delta[j]+delta[j+1])+x+yp)%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1])+x+yp)%2; xpp++) {
 497                 for(xpp=(ypp*(delta[j]+delta[j+1])+x*(1+alpha[i]+beta[i])+yp)%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1])+x*(1+alpha[i]+beta[i])+yp)%2; xpp++) {
 498                   //for(yppp=ypp; yppp<=1; yppp++) {
 499                   //**for(yppp=(x+yp+ypp)%2; yppp<=1; yppp++) {
 500                   for(yppp=(x*(1+alpha[i]+beta[i])+yp+ypp)%2; yppp<=1; yppp++) {
 501                     //for(xppp=(yppp*(delta[j+3]+delta[j+4])+ypp)%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+ypp)%2; xppp++) {
 502                     //**for(xppp=(yppp*(delta[j+3]+delta[j+4])+x+yp+ypp)%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+x+yp+ypp)%2; xppp++) {
 503                     for(xppp=(yppp*(delta[j+3]+delta[j+4])+x*(1+alpha[i]+beta[i])+yp+ypp)%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+x*(1+alpha[i]+beta[i])+yp+ypp)%2; xppp++) {
 504                       //summand += (2.0*(0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3]))))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*Gausssum1d(0.0,beta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(gamma[i+2]+delta[i+2])
 505                       summand += 2.0*(2.0*(0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3])))*(pow(ypp-1,2)*(pow(xpp,2)*(gamma[j]+delta[j+1])+pow(xpp-1,2)*(gamma[j+1]+delta[j])))*(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*Gausssum1d(0.0,beta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(gamma[i+2]+delta[i+2])
 506                                        //+ 0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3]))))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*csqrt(-I)*Gausssum1d(gamma[i+2]+delta[i+2],0)*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(alpha[i+2]+beta[i+2]))
 507                                        + 0.125*pow(2.0,(1-y*pow(gamma[i]-gamma[i+1],2)-pow(y-1,2)*pow(gamma[i]-delta[i+1],2))*(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3])))*(pow(ypp-1,2)*(pow(xpp,2)*(gamma[j]+delta[j+1])+pow(xpp-1,2)*(gamma[j+1]+delta[j])))*(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*cexp(M_PI*I/2.0*((delta[i+1]-gamma[i])*pow(y+1,2)+2.0*(beta[i]+beta[i+1]+gamma[i]+delta[i+1])*x*pow(y+1,2)+2.0*(delta[i]+delta[i+1]+beta[i]+beta[i+1])*x*y+(2.0*beta[i]+3.0*delta[i]+delta[i+1])*y))*csqrt(-I)*Gausssum1d(gamma[i+2]+delta[i+2],0)*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1])*Kroneck(alpha[i+2]+beta[i+2]))
 508                                   *(0.125*(-I)*cexp(M_PI*I/2.0*(yp*(delta[i+3]+delta[i+4])+pow(yp+1,2)*(delta[i+3]+gamma[i+4]+2*beta[i+4])+pow(xp,2)+2*(beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp)*xp))*Gausssum1d(0,xp+beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp+gamma[i+5]+delta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(alpha[i+5]+beta[i+5])))
 509                         //*(2.0*(0.125*pow(2.0,(pow(ypp-1,2)*(pow(xpp,2)*(gamma[j]+delta[j+1])+pow(xpp-1,2)*(gamma[j+1]+delta[j])))*(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*(-I)*cexp(M_PI*I/2.0*(ypp*(delta[j]+delta[j+1])+pow(ypp+1,2)*(delta[j]+gamma[j+1]+2*beta[j+1])+pow(xpp,2)+2*(beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp)*xpp))*Gausssum1d(0,xpp+beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp+gamma[j+2]+delta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(alpha[j+2]+beta[j+2]))
 510                         *(2.0*(0.125*(-I)*cexp(M_PI*I/2.0*(ypp*(delta[j]+delta[j+1])+pow(ypp+1,2)*(delta[j]+gamma[j+1]+2*beta[j+1])+pow(xpp,2)+2*(beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp)*xpp))*Gausssum1d(0,xpp+beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp+gamma[j+2]+delta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(alpha[j+2]+beta[j+2]))
 511                           *(0.125*(-I)*cexp(M_PI*I/2.0*(yppp*(delta[j+3]+delta[j+4])+pow(yppp+1,2)*(delta[j+3]+gamma[j+4]+2*beta[j+4])+pow(xppp,2)+2*(beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp)*xppp))*Gausssum1d(0,xppp+beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp+gamma[j+5]+delta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(alpha[j+5]+beta[j+5])));
 512                     }
 513                   }
 514                 }
 515               }
 516             }
 517           }
 518         }
 519       }
 520
 521
 522       // fourth term
 523       for(y=0; y<=(1+alpha[i+2])%2; y++) {
 524         for(x=0; x<=(1+beta[i+2])%2; x++) {
 525           for(yp=0; yp<=1; yp++) {
 526             //**for(xp=0;xp<=(yp*(gamma[i+3]+gamma[i+4])+(yp+1)*(gamma[i+3]+delta[i+4]))%2; xp++) {
 527             for(xp=yp*(beta[i+3]+alpha[i+4]+beta[i+4])%2;xp<=(yp*(beta[i+3]+alpha[i+4]+beta[i+4])+yp*(gamma[i+3]+gamma[i+4])+(yp+1)*(gamma[i+3]+delta[i+4]))%2; xp++) {
 528               for(ypp=0; ypp<=1; ypp++) {
 529                 //**for(xpp=0;xpp<=(ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
 530                 for(xpp=ypp*(beta[j]+alpha[j+1]+beta[j+1])%2;xpp<=(ypp*(beta[j]+alpha[j+1]+beta[j+1])+ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
 531                   for(yppp=((gamma[j+3]+delta[j+4])*xpp)%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*xpp)%2; yppp++) {
 532                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 533                     for(xppp=yppp*(beta[j+3]+alpha[j+4]+beta[j+4])%2;xppp<=(yppp*(beta[j+3]+alpha[j+4]+beta[j+4])+yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 534
 535                       summand += ((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+2]*y+pow(x+1,2)*(delta[i]+gamma[i+1]+2.0*beta[i+1])+x*(delta[i]+delta[i+1])))*Gausssum1d(1,beta[i]+beta[i+1]+delta[i]+(x+1)*gamma[i+1]+x*delta[i+1])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(gamma[i+2]+delta[i+2]))
 536                 *(0.125*pow(2.0,1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2))*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*Gausssum1d(0.0,beta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(gamma[i+5]+delta[i+5])
 537                   + 0.125*pow(2.0,1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2))*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*csqrt(-I)*Gausssum1d(gamma[i+5]+delta[i+5],0)*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(alpha[i+5]+beta[i+5])))
 538                         *(2.0*(0.125*pow(2.0,(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2)))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*Gausssum1d(0.0,beta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(gamma[j+2]+delta[j+2])
 539                               + 0.125*pow(2.0,(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2)))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*csqrt(-I)*Gausssum1d(gamma[j+2]+delta[j+2],0)*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(alpha[j+2]+beta[j+2]))
 540                         *(0.125*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*Gausssum1d(0.0,beta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(gamma[j+5]+delta[j+5])
 541                           + 0.125*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*csqrt(-I)*Gausssum1d(gamma[j+5]+delta[j+5],0)*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(alpha[j+5]+beta[j+5])));
 542                     }
 543                   }
 544                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
 545                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
 546                       summand += ((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+2]*y+pow(x+1,2)*(delta[i]+gamma[i+1]+2.0*beta[i+1])+x*(delta[i]+delta[i+1])))*Gausssum1d(1,beta[i]+beta[i+1]+delta[i]+(x+1)*gamma[i+1]+x*delta[i+1])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(gamma[i+2]+delta[i+2]))
 547                 *(0.125*pow(2.0,1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2))*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*Gausssum1d(0.0,beta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(gamma[i+5]+delta[i+5])
 548                   + 0.125*pow(2.0,1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2))*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*csqrt(-I)*Gausssum1d(gamma[i+5]+delta[i+5],0)*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(alpha[i+5]+beta[i+5])))
 549                         *((0.125*pow(2.0,1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*Gausssum1d(0.0,beta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(gamma[j+2]+delta[j+2])
 550                                   + 0.125*pow(2.0,1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*csqrt(-I)*Gausssum1d(gamma[j+2]+delta[j+2],0)*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(alpha[j+2]+beta[j+2]))
 551                           *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+5]*yppp+pow(xppp+1,2)*(delta[j+3]+gamma[j+4]+2.0*beta[j+4])+xppp*(delta[j+3]+delta[j+4])))*Gausssum1d(1,beta[j+3]+beta[j+4]+delta[j+3]+(xppp+1)*gamma[j+4]+xppp*delta[j+4])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(gamma[j+5]+delta[j+5])));
 552                     }
 553                   }
 554                   //**for(yppp=xpp; yppp<=1; yppp++) {
 555                   for(yppp=xpp*(1+alpha[j]+beta[j])%2; yppp<=1; yppp++) {
 556                     //**for(xppp=(yppp*(delta[j+3]+delta[j+4])+xpp)%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+xpp)%2; xppp++) {
 557                     for(xppp=(yppp*(delta[j+3]+delta[j+4])+xpp*(1+alpha[j]+beta[j]))%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+xpp*(1+alpha[j]+beta[j]))%2; xppp++) {
 558                       summand += ((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+2]*y+pow(x+1,2)*(delta[i]+gamma[i+1]+2.0*beta[i+1])+x*(delta[i]+delta[i+1])))*Gausssum1d(1,beta[i]+beta[i+1]+delta[i]+(x+1)*gamma[i+1]+x*delta[i+1])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(gamma[i+2]+delta[i+2]))
 559                 *(0.125*pow(2.0,1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2))*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*Gausssum1d(0.0,beta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(gamma[i+5]+delta[i+5])
 560                   + 0.125*pow(2.0,1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2))*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*csqrt(-I)*Gausssum1d(gamma[i+5]+delta[i+5],0)*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(alpha[i+5]+beta[i+5])))
 561                         *(2.0*(0.125*pow(2.0,(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*Gausssum1d(0.0,beta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(gamma[j+2]+delta[j+2])
 562                                       + 0.125*pow(2.0,(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*csqrt(-I)*Gausssum1d(gamma[j+2]+delta[j+2],0)*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(alpha[j+2]+beta[j+2]))
 563                           *(0.125*(-I)*cexp(M_PI*I/2.0*(yppp*(delta[j+3]+delta[j+4])+pow(yppp+1,2)*(delta[j+3]+gamma[j+4]+2*beta[j+4])+pow(xppp,2)+2*(beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp)*xppp))*Gausssum1d(0,xppp+beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp+gamma[j+5]+delta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(alpha[j+5]+beta[j+5])));
 564                     }
 565                   }
 566                 }
 567               }
 568
 569               for(ypp=0; ypp<=(1+alpha[j+2])%2; ypp++) {
 570                 for(xpp=0; xpp<=(1+beta[j+2])%2; xpp++) {
 571                   for(yppp=0; yppp<=1; yppp++) {
 572                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 573                     for(xppp=yppp*(beta[j+3]+alpha[j+4]+beta[j+4])%2;xppp<=(yppp*(beta[j+3]+alpha[j+4]+beta[j+4])+yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 574                       summand += ((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+2]*y+pow(x+1,2)*(delta[i]+gamma[i+1]+2.0*beta[i+1])+x*(delta[i]+delta[i+1])))*Gausssum1d(1,beta[i]+beta[i+1]+delta[i]+(x+1)*gamma[i+1]+x*delta[i+1])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(gamma[i+2]+delta[i+2]))
 575                 *(0.125*pow(2.0,1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2))*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*Gausssum1d(0.0,beta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(gamma[i+5]+delta[i+5])
 576                   + 0.125*pow(2.0,1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2))*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*csqrt(-I)*Gausssum1d(gamma[i+5]+delta[i+5],0)*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(alpha[i+5]+beta[i+5])))
 577                         *((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+2]*ypp+pow(xpp+1,2)*(delta[j]+gamma[j+1]+2.0*beta[j+1])+xpp*(delta[j]+delta[j+1])))*Gausssum1d(1,beta[j]+beta[j+1]+delta[j]+(xpp+1)*gamma[j+1]+xpp*delta[j+1])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(gamma[j+2]+delta[j+2]))
 578                           *(0.125*pow(2.0,1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2))*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*Gausssum1d(0.0,beta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(gamma[j+5]+delta[j+5])
 579                             + 0.125*pow(2.0,1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2))*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*csqrt(-I)*Gausssum1d(gamma[j+5]+delta[j+5],0)*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(alpha[j+5]+beta[j+5])));
 580                     }
 581                   }
 582                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
 583                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
 584                       summand += ((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+2]*y+pow(x+1,2)*(delta[i]+gamma[i+1]+2.0*beta[i+1])+x*(delta[i]+delta[i+1])))*Gausssum1d(1,beta[i]+beta[i+1]+delta[i]+(x+1)*gamma[i+1]+x*delta[i+1])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(gamma[i+2]+delta[i+2]))
 585                 *(0.125*pow(2.0,1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2))*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*Gausssum1d(0.0,beta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(gamma[i+5]+delta[i+5])
 586                   + 0.125*pow(2.0,1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2))*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*csqrt(-I)*Gausssum1d(gamma[i+5]+delta[i+5],0)*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(alpha[i+5]+beta[i+5])))
 587                         *((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+2]*ypp+pow(xpp+1,2)*(delta[j]+gamma[j+1]+2.0*beta[j+1])+xpp*(delta[j]+delta[j+1])))*Gausssum1d(1,beta[j]+beta[j+1]+delta[j]+(xpp+1)*gamma[j+1]+xpp*delta[j+1])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(gamma[j+2]+delta[j+2]))
 588                           *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+5]*yppp+pow(xppp+1,2)*(delta[j+3]+gamma[j+4]+2.0*beta[j+4])+xppp*(delta[j+3]+delta[j+4])))*Gausssum1d(1,beta[j+3]+beta[j+4]+delta[j+3]+(xppp+1)*gamma[j+4]+xppp*delta[j+4])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(gamma[j+5]+delta[j+5])));
 589                     }
 590                   }
 591                   for(yppp=0; yppp<=1; yppp++) {
 592                     for(xppp=(yppp*(delta[j+3]+delta[j+4]))%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4]))%2; xppp++) {
 593                       summand += ((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+2]*y+pow(x+1,2)*(delta[i]+gamma[i+1]+2.0*beta[i+1])+x*(delta[i]+delta[i+1])))*Gausssum1d(1,beta[i]+beta[i+1]+delta[i]+(x+1)*gamma[i+1]+x*delta[i+1])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(gamma[i+2]+delta[i+2]))
 594                 *(0.125*pow(2.0,1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2))*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*Gausssum1d(0.0,beta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(gamma[i+5]+delta[i+5])
 595                   + 0.125*pow(2.0,1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2))*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*csqrt(-I)*Gausssum1d(gamma[i+5]+delta[i+5],0)*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(alpha[i+5]+beta[i+5])))
 596                         *((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+2]*ypp+pow(xpp+1,2)*(delta[j]+gamma[j+1]+2.0*beta[j+1])+xpp*(delta[j]+delta[j+1])))*Gausssum1d(1,beta[j]+beta[j+1]+delta[j]+(xpp+1)*gamma[j+1]+xpp*delta[j+1])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(gamma[j+2]+delta[j+2]))
 597                           *(0.125*(-I)*pow(2.0,(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*cexp(M_PI*I/2.0*(yppp*(delta[j+3]+delta[j+4])+pow(yppp+1,2)*(delta[j+3]+gamma[j+4]+2*beta[j+4])+pow(xppp,2)+2*(beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp)*xppp))*Gausssum1d(0,xppp+beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp+gamma[j+5]+delta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(alpha[j+5]+beta[j+5])));
 598                     }
 599                   }
 600                 }
 601               }
 602
 603               for(ypp=0; ypp<=1; ypp++) {
 604                 for(xpp=(ypp*(delta[j]+delta[j+1]))%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1]))%2; xpp++) {
 605                   for(yppp=((gamma[j+3]+delta[j+4])*ypp)%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*ypp)%2; yppp++) {
 606                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 607                     for(xppp=yppp*(beta[j+3]+alpha[j+4]+beta[j+4])%2;xppp<=(yppp*(beta[j+3]+alpha[j+4]+beta[j+4])+yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 608                       summand += ((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+2]*y+pow(x+1,2)*(delta[i]+gamma[i+1]+2.0*beta[i+1])+x*(delta[i]+delta[i+1])))*Gausssum1d(1,beta[i]+beta[i+1]+delta[i]+(x+1)*gamma[i+1]+x*delta[i+1])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(gamma[i+2]+delta[i+2]))
 609                 *(0.125*pow(2.0,1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2))*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*Gausssum1d(0.0,beta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(gamma[i+5]+delta[i+5])
 610                   + 0.125*pow(2.0,1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2))*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*csqrt(-I)*Gausssum1d(gamma[i+5]+delta[i+5],0)*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(alpha[i+5]+beta[i+5])))
 611                         *(2.0*(0.125*pow(2.0,(pow(ypp-1,2)*(pow(xpp,2)*(gamma[j]+delta[j+1])+pow(xpp-1,2)*(gamma[j+1]+delta[j])))*(1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2)))*(-I)*cexp(M_PI*I/2.0*(ypp*(delta[j]+delta[j+1])+pow(ypp+1,2)*(delta[j]+gamma[j+1]+2*beta[j+1])+pow(xpp,2)+2*(beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp)*xpp))*Gausssum1d(0,xpp+beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp+gamma[j+2]+delta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(alpha[j+2]+beta[j+2]))
 612                           *(0.125*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*Gausssum1d(0.0,beta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(gamma[j+5]+delta[j+5])
 613                             + 0.125*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*csqrt(-I)*Gausssum1d(gamma[j+5]+delta[j+5],0)*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(alpha[j+5]+beta[j+5])));
 614                     }
 615                   }
 616                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
 617                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
 618                       summand += ((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+2]*y+pow(x+1,2)*(delta[i]+gamma[i+1]+2.0*beta[i+1])+x*(delta[i]+delta[i+1])))*Gausssum1d(1,beta[i]+beta[i+1]+delta[i]+(x+1)*gamma[i+1]+x*delta[i+1])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(gamma[i+2]+delta[i+2]))
 619                 *(0.125*pow(2.0,1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2))*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*Gausssum1d(0.0,beta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(gamma[i+5]+delta[i+5])
 620                   + 0.125*pow(2.0,1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2))*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*csqrt(-I)*Gausssum1d(gamma[i+5]+delta[i+5],0)*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(alpha[i+5]+beta[i+5])))
 621                         *((0.125*pow(2.0,pow(ypp-1,2)*(pow(xpp,2)*(gamma[j]+delta[j+1])+pow(xpp-1,2)*(gamma[j+1]+delta[j])))*(-I)*cexp(M_PI*I/2.0*(ypp*(delta[j]+delta[j+1])+pow(ypp+1,2)*(delta[j]+gamma[j+1]+2*beta[j+1])+pow(xpp,2)+2*(beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp)*xpp))*Gausssum1d(0,xpp+beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp+gamma[j+2]+delta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(alpha[j+2]+beta[j+2]))
 622                           *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+5]*yppp+pow(xppp+1,2)*(delta[j+3]+gamma[j+4]+2.0*beta[j+4])+xppp*(delta[j+3]+delta[j+4])))*Gausssum1d(1,beta[j+3]+beta[j+4]+delta[j+3]+(xppp+1)*gamma[j+4]+xppp*delta[j+4])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(gamma[j+5]+delta[j+5])));
 623                     }
 624                   }
 625                   for(yppp=ypp; yppp<=1; yppp++) {
 626                     for(xppp=(yppp*(delta[j+3]+delta[j+4])+ypp)%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+ypp)%2; xppp++) {
 627                       summand += ((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+2]*y+pow(x+1,2)*(delta[i]+gamma[i+1]+2.0*beta[i+1])+x*(delta[i]+delta[i+1])))*Gausssum1d(1,beta[i]+beta[i+1]+delta[i]+(x+1)*gamma[i+1]+x*delta[i+1])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(gamma[i+2]+delta[i+2]))
 628                 *(0.125*pow(2.0,1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2))*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*Gausssum1d(0.0,beta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(gamma[i+5]+delta[i+5])
 629                   + 0.125*pow(2.0,1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2))*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*csqrt(-I)*Gausssum1d(gamma[i+5]+delta[i+5],0)*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(alpha[i+5]+beta[i+5])))
 630                         *(2.0*(0.125*pow(2.0,(pow(ypp-1,2)*(pow(xpp,2)*(gamma[j]+delta[j+1])+pow(xpp-1,2)*(gamma[j+1]+delta[j])))*(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*(-I)*cexp(M_PI*I/2.0*(ypp*(delta[j]+delta[j+1])+pow(ypp+1,2)*(delta[j]+gamma[j+1]+2*beta[j+1])+pow(xpp,2)+2*(beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp)*xpp))*Gausssum1d(0,xpp+beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp+gamma[j+2]+delta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(alpha[j+2]+beta[j+2]))
 631                           *(0.125*(-I)*cexp(M_PI*I/2.0*(yppp*(delta[j+3]+delta[j+4])+pow(yppp+1,2)*(delta[j+3]+gamma[j+4]+2*beta[j+4])+pow(xppp,2)+2*(beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp)*xppp))*Gausssum1d(0,xppp+beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp+gamma[j+5]+delta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(alpha[j+5]+beta[j+5])));
 632                     }
 633                   }
 634                 }
 635               }
 636             }
 637           }
 638         }
 639       }
 640
 641
 642       // fifth term
 643       for(y=0; y<=(1+alpha[i+2])%2; y++) {
 644         for(x=0; x<=(1+beta[i+2])%2; x++) {
 645           for(yp=0; yp<=(1+alpha[i+5])%2; yp++) {
 646             for(xp=0;xp<=(1+beta[i+5])%2; xp++) {
 647               for(ypp=0; ypp<=1; ypp++) {
 648                 //**for(xpp=0;xpp<=(ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
 649                 for(xpp=ypp*(beta[j]+alpha[j+1]+beta[j+1])%2;xpp<=(ypp*(beta[j]+alpha[j+1]+beta[j+1])+ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
 650                   for(yppp=((gamma[j+3]+delta[j+4])*xpp)%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*xpp)%2; yppp++) {
 651                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 652                     for(xppp=yppp*(beta[j+3]+alpha[j+4]+beta[j+4])%2;xppp<=(yppp*(beta[j+3]+alpha[j+4]+beta[j+4])+yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 653                       summand += ((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+2]*y+pow(x+1,2)*(delta[i]+gamma[i+1]+2.0*beta[i+1])+x*(delta[i]+delta[i+1])))*Gausssum1d(1,beta[i]+beta[i+1]+delta[i]+(x+1)*gamma[i+1]+x*delta[i+1])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(gamma[i+2]+delta[i+2]))
 654                                   *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+5]*yp+pow(xp+1,2)*(delta[i+3]+gamma[i+4]+2.0*beta[i+4])+xp*(delta[i+3]+delta[i+4])))*Gausssum1d(1,beta[i+3]+beta[i+4]+delta[i+3]+(xp+1)*gamma[i+4]+xp*delta[i+4])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(gamma[i+5]+delta[i+5])))
 655                         *(2.0*(0.125*pow(2.0,(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2)))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*Gausssum1d(0.0,beta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(gamma[j+2]+delta[j+2])
 656                               + 0.125*pow(2.0,(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2)))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*csqrt(-I)*Gausssum1d(gamma[j+2]+delta[j+2],0)*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(alpha[j+2]+beta[j+2]))
 657                         *(0.125*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*Gausssum1d(0.0,beta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(gamma[j+5]+delta[j+5])
 658                           + 0.125*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*csqrt(-I)*Gausssum1d(gamma[j+5]+delta[j+5],0)*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(alpha[j+5]+beta[j+5])));
 659                     }
 660                   }
 661                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
 662                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
 663                       summand += ((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+2]*y+pow(x+1,2)*(delta[i]+gamma[i+1]+2.0*beta[i+1])+x*(delta[i]+delta[i+1])))*Gausssum1d(1,beta[i]+beta[i+1]+delta[i]+(x+1)*gamma[i+1]+x*delta[i+1])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(gamma[i+2]+delta[i+2]))
 664                                   *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+5]*yp+pow(xp+1,2)*(delta[i+3]+gamma[i+4]+2.0*beta[i+4])+xp*(delta[i+3]+delta[i+4])))*Gausssum1d(1,beta[i+3]+beta[i+4]+delta[i+3]+(xp+1)*gamma[i+4]+xp*delta[i+4])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(gamma[i+5]+delta[i+5])))
 665                         *((0.125*pow(2.0,1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*Gausssum1d(0.0,beta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(gamma[j+2]+delta[j+2])
 666                                   + 0.125*pow(2.0,1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*csqrt(-I)*Gausssum1d(gamma[j+2]+delta[j+2],0)*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(alpha[j+2]+beta[j+2]))
 667                           *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+5]*yppp+pow(xppp+1,2)*(delta[j+3]+gamma[j+4]+2.0*beta[j+4])+xppp*(delta[j+3]+delta[j+4])))*Gausssum1d(1,beta[j+3]+beta[j+4]+delta[j+3]+(xppp+1)*gamma[j+4]+xppp*delta[j+4])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(gamma[j+5]+delta[j+5])));
 668                     }
 669                   }
 670                   //**for(yppp=xpp; yppp<=1; yppp++) {
 671                   for(yppp=xpp*(1+alpha[j]+beta[j])%2; yppp<=1; yppp++) {
 672                     //**for(xppp=(yppp*(delta[j+3]+delta[j+4])+xpp)%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+xpp)%2; xppp++) {
 673                     for(xppp=(yppp*(delta[j+3]+delta[j+4])+xpp*(1+alpha[j]+beta[j]))%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+xpp*(1+alpha[j]+beta[j]))%2; xppp++) {
 674                       summand += ((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+2]*y+pow(x+1,2)*(delta[i]+gamma[i+1]+2.0*beta[i+1])+x*(delta[i]+delta[i+1])))*Gausssum1d(1,beta[i]+beta[i+1]+delta[i]+(x+1)*gamma[i+1]+x*delta[i+1])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(gamma[i+2]+delta[i+2]))
 675                                   *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+5]*yp+pow(xp+1,2)*(delta[i+3]+gamma[i+4]+2.0*beta[i+4])+xp*(delta[i+3]+delta[i+4])))*Gausssum1d(1,beta[i+3]+beta[i+4]+delta[i+3]+(xp+1)*gamma[i+4]+xp*delta[i+4])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(gamma[i+5]+delta[i+5])))
 676                         *(2.0*(0.125*pow(2.0,(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*Gausssum1d(0.0,beta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(gamma[j+2]+delta[j+2])
 677                                       + 0.125*pow(2.0,(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*csqrt(-I)*Gausssum1d(gamma[j+2]+delta[j+2],0)*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(alpha[j+2]+beta[j+2]))
 678                           *(0.125*(-I)*cexp(M_PI*I/2.0*(yppp*(delta[j+3]+delta[j+4])+pow(yppp+1,2)*(delta[j+3]+gamma[j+4]+2*beta[j+4])+pow(xppp,2)+2*(beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp)*xppp))*Gausssum1d(0,xppp+beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp+gamma[j+5]+delta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(alpha[j+5]+beta[j+5])));
 679                     }
 680                   }
 681                 }
 682               }
 683
 684               for(ypp=0; ypp<=(1+alpha[j+2])%2; ypp++) {
 685                 for(xpp=0; xpp<=(1+beta[j+2])%2; xpp++) {
 686                   for(yppp=0; yppp<=1; yppp++) {
 687                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 688                     for(xppp=yppp*(beta[j+3]+alpha[j+4]+beta[j+4])%2;xppp<=(yppp*(beta[j+3]+alpha[j+4]+beta[j+4])+yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 689                       summand += ((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+2]*y+pow(x+1,2)*(delta[i]+gamma[i+1]+2.0*beta[i+1])+x*(delta[i]+delta[i+1])))*Gausssum1d(1,beta[i]+beta[i+1]+delta[i]+(x+1)*gamma[i+1]+x*delta[i+1])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(gamma[i+2]+delta[i+2]))
 690                                   *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+5]*yp+pow(xp+1,2)*(delta[i+3]+gamma[i+4]+2.0*beta[i+4])+xp*(delta[i+3]+delta[i+4])))*Gausssum1d(1,beta[i+3]+beta[i+4]+delta[i+3]+(xp+1)*gamma[i+4]+xp*delta[i+4])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(gamma[i+5]+delta[i+5])))
 691                         *((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+2]*ypp+pow(xpp+1,2)*(delta[j]+gamma[j+1]+2.0*beta[j+1])+xpp*(delta[j]+delta[j+1])))*Gausssum1d(1,beta[j]+beta[j+1]+delta[j]+(xpp+1)*gamma[j+1]+xpp*delta[j+1])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(gamma[j+2]+delta[j+2]))
 692                           *(0.125*pow(2.0,1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2))*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*Gausssum1d(0.0,beta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(gamma[j+5]+delta[j+5])
 693                             + 0.125*pow(2.0,1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2))*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*csqrt(-I)*Gausssum1d(gamma[j+5]+delta[j+5],0)*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(alpha[j+5]+beta[j+5])));
 694                     }
 695                   }
 696                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
 697                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
 698                       summand += ((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+2]*y+pow(x+1,2)*(delta[i]+gamma[i+1]+2.0*beta[i+1])+x*(delta[i]+delta[i+1])))*Gausssum1d(1,beta[i]+beta[i+1]+delta[i]+(x+1)*gamma[i+1]+x*delta[i+1])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(gamma[i+2]+delta[i+2]))
 699                                   *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+5]*yp+pow(xp+1,2)*(delta[i+3]+gamma[i+4]+2.0*beta[i+4])+xp*(delta[i+3]+delta[i+4])))*Gausssum1d(1,beta[i+3]+beta[i+4]+delta[i+3]+(xp+1)*gamma[i+4]+xp*delta[i+4])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(gamma[i+5]+delta[i+5])))
 700                         *((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+2]*ypp+pow(xpp+1,2)*(delta[j]+gamma[j+1]+2.0*beta[j+1])+xpp*(delta[j]+delta[j+1])))*Gausssum1d(1,beta[j]+beta[j+1]+delta[j]+(xpp+1)*gamma[j+1]+xpp*delta[j+1])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(gamma[j+2]+delta[j+2]))
 701                           *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+5]*yppp+pow(xppp+1,2)*(delta[j+3]+gamma[j+4]+2.0*beta[j+4])+xppp*(delta[j+3]+delta[j+4])))*Gausssum1d(1,beta[j+3]+beta[j+4]+delta[j+3]+(xppp+1)*gamma[j+4]+xppp*delta[j+4])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(gamma[j+5]+delta[j+5])));
 702                     }
 703                   }
 704                   for(yppp=0; yppp<=1; yppp++) {
 705                     for(xppp=(yppp*(delta[j+3]+delta[j+4]))%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4]))%2; xppp++) {
 706                       summand += ((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+2]*y+pow(x+1,2)*(delta[i]+gamma[i+1]+2.0*beta[i+1])+x*(delta[i]+delta[i+1])))*Gausssum1d(1,beta[i]+beta[i+1]+delta[i]+(x+1)*gamma[i+1]+x*delta[i+1])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(gamma[i+2]+delta[i+2]))
 707                                   *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+5]*yp+pow(xp+1,2)*(delta[i+3]+gamma[i+4]+2.0*beta[i+4])+xp*(delta[i+3]+delta[i+4])))*Gausssum1d(1,beta[i+3]+beta[i+4]+delta[i+3]+(xp+1)*gamma[i+4]+xp*delta[i+4])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(gamma[i+5]+delta[i+5])))
 708                         *((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+2]*ypp+pow(xpp+1,2)*(delta[j]+gamma[j+1]+2.0*beta[j+1])+xpp*(delta[j]+delta[j+1])))*Gausssum1d(1,beta[j]+beta[j+1]+delta[j]+(xpp+1)*gamma[j+1]+xpp*delta[j+1])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(gamma[j+2]+delta[j+2]))
 709                           *(0.125*(-I)*pow(2.0,(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*cexp(M_PI*I/2.0*(yppp*(delta[j+3]+delta[j+4])+pow(yppp+1,2)*(delta[j+3]+gamma[j+4]+2*beta[j+4])+pow(xppp,2)+2*(beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp)*xppp))*Gausssum1d(0,xppp+beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp+gamma[j+5]+delta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(alpha[j+5]+beta[j+5])));
 710                     }
 711                   }
 712                 }
 713               }
 714
 715               for(ypp=0; ypp<=1; ypp++) {
 716                 for(xpp=(ypp*(delta[j]+delta[j+1]))%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1]))%2; xpp++) {
 717                   for(yppp=((gamma[j+3]+delta[j+4])*ypp)%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*ypp)%2; yppp++) {
 718                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 719                     for(xppp=yppp*(beta[j+3]+alpha[j+4]+beta[j+4])%2;xppp<=(yppp*(beta[j+3]+alpha[j+4]+beta[j+4])+yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 720                       summand += ((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+2]*y+pow(x+1,2)*(delta[i]+gamma[i+1]+2.0*beta[i+1])+x*(delta[i]+delta[i+1])))*Gausssum1d(1,beta[i]+beta[i+1]+delta[i]+(x+1)*gamma[i+1]+x*delta[i+1])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(gamma[i+2]+delta[i+2]))
 721                                   *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+5]*yp+pow(xp+1,2)*(delta[i+3]+gamma[i+4]+2.0*beta[i+4])+xp*(delta[i+3]+delta[i+4])))*Gausssum1d(1,beta[i+3]+beta[i+4]+delta[i+3]+(xp+1)*gamma[i+4]+xp*delta[i+4])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(gamma[i+5]+delta[i+5])))
 722                         *(2.0*(0.125*pow(2.0,(pow(ypp-1,2)*(pow(xpp,2)*(gamma[j]+delta[j+1])+pow(xpp-1,2)*(gamma[j+1]+delta[j])))*(1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2)))*(-I)*cexp(M_PI*I/2.0*(ypp*(delta[j]+delta[j+1])+pow(ypp+1,2)*(delta[j]+gamma[j+1]+2*beta[j+1])+pow(xpp,2)+2*(beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp)*xpp))*Gausssum1d(0,xpp+beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp+gamma[j+2]+delta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(alpha[j+2]+beta[j+2]))
 723                           *(0.125*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*Gausssum1d(0.0,beta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(gamma[j+5]+delta[j+5])
 724                             + 0.125*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*csqrt(-I)*Gausssum1d(gamma[j+5]+delta[j+5],0)*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(alpha[j+5]+beta[j+5])));
 725                     }
 726                   }
 727                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
 728                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
 729                       summand += ((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+2]*y+pow(x+1,2)*(delta[i]+gamma[i+1]+2.0*beta[i+1])+x*(delta[i]+delta[i+1])))*Gausssum1d(1,beta[i]+beta[i+1]+delta[i]+(x+1)*gamma[i+1]+x*delta[i+1])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(gamma[i+2]+delta[i+2]))
 730                                   *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+5]*yp+pow(xp+1,2)*(delta[i+3]+gamma[i+4]+2.0*beta[i+4])+xp*(delta[i+3]+delta[i+4])))*Gausssum1d(1,beta[i+3]+beta[i+4]+delta[i+3]+(xp+1)*gamma[i+4]+xp*delta[i+4])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(gamma[i+5]+delta[i+5])))
 731                         *((0.125*pow(2.0,pow(ypp-1,2)*(pow(xpp,2)*(gamma[j]+delta[j+1])+pow(xpp-1,2)*(gamma[j+1]+delta[j])))*(-I)*cexp(M_PI*I/2.0*(ypp*(delta[j]+delta[j+1])+pow(ypp+1,2)*(delta[j]+gamma[j+1]+2*beta[j+1])+pow(xpp,2)+2*(beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp)*xpp))*Gausssum1d(0,xpp+beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp+gamma[j+2]+delta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(alpha[j+2]+beta[j+2]))
 732                           *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+5]*yppp+pow(xppp+1,2)*(delta[j+3]+gamma[j+4]+2.0*beta[j+4])+xppp*(delta[j+3]+delta[j+4])))*Gausssum1d(1,beta[j+3]+beta[j+4]+delta[j+3]+(xppp+1)*gamma[j+4]+xppp*delta[j+4])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(gamma[j+5]+delta[j+5])));
 733                     }
 734                   }
 735                   for(yppp=ypp; yppp<=1; yppp++) {
 736                     for(xppp=(yppp*(delta[j+3]+delta[j+4])+ypp)%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+ypp)%2; xppp++) {
 737                       summand += ((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+2]*y+pow(x+1,2)*(delta[i]+gamma[i+1]+2.0*beta[i+1])+x*(delta[i]+delta[i+1])))*Gausssum1d(1,beta[i]+beta[i+1]+delta[i]+(x+1)*gamma[i+1]+x*delta[i+1])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(gamma[i+2]+delta[i+2]))
 738                                   *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+5]*yp+pow(xp+1,2)*(delta[i+3]+gamma[i+4]+2.0*beta[i+4])+xp*(delta[i+3]+delta[i+4])))*Gausssum1d(1,beta[i+3]+beta[i+4]+delta[i+3]+(xp+1)*gamma[i+4]+xp*delta[i+4])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(gamma[i+5]+delta[i+5])))
 739                         *(2.0*(0.125*pow(2.0,(pow(ypp-1,2)*(pow(xpp,2)*(gamma[j]+delta[j+1])+pow(xpp-1,2)*(gamma[j+1]+delta[j])))*(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*(-I)*cexp(M_PI*I/2.0*(ypp*(delta[j]+delta[j+1])+pow(ypp+1,2)*(delta[j]+gamma[j+1]+2*beta[j+1])+pow(xpp,2)+2*(beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp)*xpp))*Gausssum1d(0,xpp+beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp+gamma[j+2]+delta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(alpha[j+2]+beta[j+2]))
 740                           *(0.125*(-I)*cexp(M_PI*I/2.0*(yppp*(delta[j+3]+delta[j+4])+pow(yppp+1,2)*(delta[j+3]+gamma[j+4]+2*beta[j+4])+pow(xppp,2)+2*(beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp)*xppp))*Gausssum1d(0,xppp+beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp+gamma[j+5]+delta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(alpha[j+5]+beta[j+5])));
 741                     }
 742                   }
 743                 }
 744               }
 745             }
 746           }
 747         }
 748       }
 749
 750
 751       // sixth term
 752       for(y=0; y<=(1+alpha[i+2])%2; y++) {
 753         for(x=0; x<=(1+beta[i+2])%2; x++) {
 754           for(yp=0; yp<=1; yp++) {
 755             for(xp=(yp*(delta[i+3]+delta[i+4]))%2;xp<=(1+yp*(gamma[i+3]+gamma[i+4]))%2; xp++) {
 756               for(ypp=0; ypp<=1; ypp++) {
 757                 //**for(xpp=0;xpp<=(ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
 758                 for(xpp=ypp*(beta[j]+alpha[j+1]+beta[j+1])%2;xpp<=(ypp*(beta[j]+alpha[j+1]+beta[j+1])+ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
 759                   for(yppp=((gamma[j+3]+delta[j+4])*xpp)%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*xpp)%2; yppp++) {
 760                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 761                     for(xppp=yppp*(beta[j+3]+alpha[j+4]+beta[j+4])%2;xppp<=(yppp*(beta[j+3]+alpha[j+4]+beta[j+4])+yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 762                       summand += ((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+2]*y+pow(x+1,2)*(delta[i]+gamma[i+1]+2.0*beta[i+1])+x*(delta[i]+delta[i+1])))*Gausssum1d(1,beta[i]+beta[i+1]+delta[i]+(x+1)*gamma[i+1]+x*delta[i+1])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(gamma[i+2]+delta[i+2]))
 763                                   *(0.125*(-I)*pow(2.0,(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3]))))*cexp(M_PI*I/2.0*(yp*(delta[i+3]+delta[i+4])+pow(yp+1,2)*(delta[i+3]+gamma[i+4]+2*beta[i+4])+pow(xp,2)+2*(beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp)*xp))*Gausssum1d(0,xp+beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp+gamma[i+5]+delta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(alpha[i+5]+beta[i+5])))
 764                         *(2.0*(0.125*pow(2.0,(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2)))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*Gausssum1d(0.0,beta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(gamma[j+2]+delta[j+2])
 765                               + 0.125*pow(2.0,(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2)))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*csqrt(-I)*Gausssum1d(gamma[j+2]+delta[j+2],0)*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(alpha[j+2]+beta[j+2]))
 766                         *(0.125*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*Gausssum1d(0.0,beta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(gamma[j+5]+delta[j+5])
 767                           + 0.125*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*csqrt(-I)*Gausssum1d(gamma[j+5]+delta[j+5],0)*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(alpha[j+5]+beta[j+5])));
 768                     }
 769                   }
 770                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
 771                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
 772                       summand += ((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+2]*y+pow(x+1,2)*(delta[i]+gamma[i+1]+2.0*beta[i+1])+x*(delta[i]+delta[i+1])))*Gausssum1d(1,beta[i]+beta[i+1]+delta[i]+(x+1)*gamma[i+1]+x*delta[i+1])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(gamma[i+2]+delta[i+2]))
 773                                   *(0.125*(-I)*pow(2.0,(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3]))))*cexp(M_PI*I/2.0*(yp*(delta[i+3]+delta[i+4])+pow(yp+1,2)*(delta[i+3]+gamma[i+4]+2*beta[i+4])+pow(xp,2)+2*(beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp)*xp))*Gausssum1d(0,xp+beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp+gamma[i+5]+delta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(alpha[i+5]+beta[i+5])))
 774                         *((0.125*pow(2.0,1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*Gausssum1d(0.0,beta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(gamma[j+2]+delta[j+2])
 775                                   + 0.125*pow(2.0,1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*csqrt(-I)*Gausssum1d(gamma[j+2]+delta[j+2],0)*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(alpha[j+2]+beta[j+2]))
 776                           *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+5]*yppp+pow(xppp+1,2)*(delta[j+3]+gamma[j+4]+2.0*beta[j+4])+xppp*(delta[j+3]+delta[j+4])))*Gausssum1d(1,beta[j+3]+beta[j+4]+delta[j+3]+(xppp+1)*gamma[j+4]+xppp*delta[j+4])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(gamma[j+5]+delta[j+5])));
 777                     }
 778                   }
 779                   //**for(yppp=xpp; yppp<=1; yppp++) {
 780                   for(yppp=xpp*(1+alpha[j]+beta[j])%2; yppp<=1; yppp++) {
 781                     //**for(xppp=(yppp*(delta[j+3]+delta[j+4])+xpp)%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+xpp)%2; xppp++) {
 782                     for(xppp=(yppp*(delta[j+3]+delta[j+4])+xpp*(1+alpha[j]+beta[j]))%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+xpp*(1+alpha[j]+beta[j]))%2; xppp++) {
 783                       summand += ((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+2]*y+pow(x+1,2)*(delta[i]+gamma[i+1]+2.0*beta[i+1])+x*(delta[i]+delta[i+1])))*Gausssum1d(1,beta[i]+beta[i+1]+delta[i]+(x+1)*gamma[i+1]+x*delta[i+1])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(gamma[i+2]+delta[i+2]))
 784                                   *(0.125*(-I)*pow(2.0,(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3]))))*cexp(M_PI*I/2.0*(yp*(delta[i+3]+delta[i+4])+pow(yp+1,2)*(delta[i+3]+gamma[i+4]+2*beta[i+4])+pow(xp,2)+2*(beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp)*xp))*Gausssum1d(0,xp+beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp+gamma[i+5]+delta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(alpha[i+5]+beta[i+5])))
 785                         *(2.0*(0.125*pow(2.0,(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*Gausssum1d(0.0,beta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(gamma[j+2]+delta[j+2])
 786                                       + 0.125*pow(2.0,(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*csqrt(-I)*Gausssum1d(gamma[j+2]+delta[j+2],0)*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(alpha[j+2]+beta[j+2]))
 787                           *(0.125*(-I)*cexp(M_PI*I/2.0*(yppp*(delta[j+3]+delta[j+4])+pow(yppp+1,2)*(delta[j+3]+gamma[j+4]+2*beta[j+4])+pow(xppp,2)+2*(beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp)*xppp))*Gausssum1d(0,xppp+beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp+gamma[j+5]+delta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(alpha[j+5]+beta[j+5])));
 788                     }
 789                   }
 790                 }
 791               }
 792
 793               for(ypp=0; ypp<=(1+alpha[j+2])%2; ypp++) {
 794                 for(xpp=0; xpp<=(1+beta[j+2])%2; xpp++) {
 795                   for(yppp=0; yppp<=1; yppp++) {
 796                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 797                     for(xppp=yppp*(beta[j+3]+alpha[j+4]+beta[j+4])%2;xppp<=(yppp*(beta[j+3]+alpha[j+4]+beta[j+4])+yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 798                       summand += ((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+2]*y+pow(x+1,2)*(delta[i]+gamma[i+1]+2.0*beta[i+1])+x*(delta[i]+delta[i+1])))*Gausssum1d(1,beta[i]+beta[i+1]+delta[i]+(x+1)*gamma[i+1]+x*delta[i+1])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(gamma[i+2]+delta[i+2]))
 799                                   *(0.125*(-I)*pow(2.0,(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3]))))*cexp(M_PI*I/2.0*(yp*(delta[i+3]+delta[i+4])+pow(yp+1,2)*(delta[i+3]+gamma[i+4]+2*beta[i+4])+pow(xp,2)+2*(beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp)*xp))*Gausssum1d(0,xp+beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp+gamma[i+5]+delta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(alpha[i+5]+beta[i+5])))
 800                         *((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+2]*ypp+pow(xpp+1,2)*(delta[j]+gamma[j+1]+2.0*beta[j+1])+xpp*(delta[j]+delta[j+1])))*Gausssum1d(1,beta[j]+beta[j+1]+delta[j]+(xpp+1)*gamma[j+1]+xpp*delta[j+1])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(gamma[j+2]+delta[j+2]))
 801                           *(0.125*pow(2.0,1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2))*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*Gausssum1d(0.0,beta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(gamma[j+5]+delta[j+5])
 802                             + 0.125*pow(2.0,1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2))*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*csqrt(-I)*Gausssum1d(gamma[j+5]+delta[j+5],0)*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(alpha[j+5]+beta[j+5])));
 803                     }
 804                   }
 805                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
 806                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
 807                       summand += ((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+2]*y+pow(x+1,2)*(delta[i]+gamma[i+1]+2.0*beta[i+1])+x*(delta[i]+delta[i+1])))*Gausssum1d(1,beta[i]+beta[i+1]+delta[i]+(x+1)*gamma[i+1]+x*delta[i+1])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(gamma[i+2]+delta[i+2]))
 808                                   *(0.125*(-I)*pow(2.0,(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3]))))*cexp(M_PI*I/2.0*(yp*(delta[i+3]+delta[i+4])+pow(yp+1,2)*(delta[i+3]+gamma[i+4]+2*beta[i+4])+pow(xp,2)+2*(beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp)*xp))*Gausssum1d(0,xp+beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp+gamma[i+5]+delta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(alpha[i+5]+beta[i+5])))
 809                         *((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+2]*ypp+pow(xpp+1,2)*(delta[j]+gamma[j+1]+2.0*beta[j+1])+xpp*(delta[j]+delta[j+1])))*Gausssum1d(1,beta[j]+beta[j+1]+delta[j]+(xpp+1)*gamma[j+1]+xpp*delta[j+1])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(gamma[j+2]+delta[j+2]))
 810                           *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+5]*yppp+pow(xppp+1,2)*(delta[j+3]+gamma[j+4]+2.0*beta[j+4])+xppp*(delta[j+3]+delta[j+4])))*Gausssum1d(1,beta[j+3]+beta[j+4]+delta[j+3]+(xppp+1)*gamma[j+4]+xppp*delta[j+4])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(gamma[j+5]+delta[j+5])));
 811                     }
 812                   }
 813                   for(yppp=0; yppp<=1; yppp++) {
 814                     for(xppp=(yppp*(delta[j+3]+delta[j+4]))%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4]))%2; xppp++) {
 815                       summand += ((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+2]*y+pow(x+1,2)*(delta[i]+gamma[i+1]+2.0*beta[i+1])+x*(delta[i]+delta[i+1])))*Gausssum1d(1,beta[i]+beta[i+1]+delta[i]+(x+1)*gamma[i+1]+x*delta[i+1])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(gamma[i+2]+delta[i+2]))
 816                                   *(0.125*(-I)*pow(2.0,(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3]))))*cexp(M_PI*I/2.0*(yp*(delta[i+3]+delta[i+4])+pow(yp+1,2)*(delta[i+3]+gamma[i+4]+2*beta[i+4])+pow(xp,2)+2*(beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp)*xp))*Gausssum1d(0,xp+beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp+gamma[i+5]+delta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(alpha[i+5]+beta[i+5])))
 817                         *((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+2]*ypp+pow(xpp+1,2)*(delta[j]+gamma[j+1]+2.0*beta[j+1])+xpp*(delta[j]+delta[j+1])))*Gausssum1d(1,beta[j]+beta[j+1]+delta[j]+(xpp+1)*gamma[j+1]+xpp*delta[j+1])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(gamma[j+2]+delta[j+2]))
 818                           *(0.125*(-I)*pow(2.0,(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*cexp(M_PI*I/2.0*(yppp*(delta[j+3]+delta[j+4])+pow(yppp+1,2)*(delta[j+3]+gamma[j+4]+2*beta[j+4])+pow(xppp,2)+2*(beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp)*xppp))*Gausssum1d(0,xppp+beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp+gamma[j+5]+delta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(alpha[j+5]+beta[j+5])));
 819                     }
 820                   }
 821                 }
 822               }
 823
 824               for(ypp=0; ypp<=1; ypp++) {
 825                 for(xpp=(ypp*(delta[j]+delta[j+1]))%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1]))%2; xpp++) {
 826                   for(yppp=((gamma[j+3]+delta[j+4])*ypp)%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*ypp)%2; yppp++) {
 827                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 828                     for(xppp=yppp*(beta[j+3]+alpha[j+4]+beta[j+4])%2;xppp<=(yppp*(beta[j+3]+alpha[j+4]+beta[j+4])+yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 829                       summand += ((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+2]*y+pow(x+1,2)*(delta[i]+gamma[i+1]+2.0*beta[i+1])+x*(delta[i]+delta[i+1])))*Gausssum1d(1,beta[i]+beta[i+1]+delta[i]+(x+1)*gamma[i+1]+x*delta[i+1])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(gamma[i+2]+delta[i+2]))
 830                                   *(0.125*(-I)*pow(2.0,(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3]))))*cexp(M_PI*I/2.0*(yp*(delta[i+3]+delta[i+4])+pow(yp+1,2)*(delta[i+3]+gamma[i+4]+2*beta[i+4])+pow(xp,2)+2*(beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp)*xp))*Gausssum1d(0,xp+beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp+gamma[i+5]+delta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(alpha[i+5]+beta[i+5])))
 831                         *(2.0*(0.125*pow(2.0,(pow(ypp-1,2)*(pow(xpp,2)*(gamma[j]+delta[j+1])+pow(xpp-1,2)*(gamma[j+1]+delta[j])))*(1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2)))*(-I)*cexp(M_PI*I/2.0*(ypp*(delta[j]+delta[j+1])+pow(ypp+1,2)*(delta[j]+gamma[j+1]+2*beta[j+1])+pow(xpp,2)+2*(beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp)*xpp))*Gausssum1d(0,xpp+beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp+gamma[j+2]+delta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(alpha[j+2]+beta[j+2]))
 832                           *(0.125*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*Gausssum1d(0.0,beta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(gamma[j+5]+delta[j+5])
 833                             + 0.125*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*csqrt(-I)*Gausssum1d(gamma[j+5]+delta[j+5],0)*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(alpha[j+5]+beta[j+5])));
 834                     }
 835                   }
 836                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
 837                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
 838                       summand += ((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+2]*y+pow(x+1,2)*(delta[i]+gamma[i+1]+2.0*beta[i+1])+x*(delta[i]+delta[i+1])))*Gausssum1d(1,beta[i]+beta[i+1]+delta[i]+(x+1)*gamma[i+1]+x*delta[i+1])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(gamma[i+2]+delta[i+2]))
 839                                   *(0.125*(-I)*pow(2.0,(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3]))))*cexp(M_PI*I/2.0*(yp*(delta[i+3]+delta[i+4])+pow(yp+1,2)*(delta[i+3]+gamma[i+4]+2*beta[i+4])+pow(xp,2)+2*(beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp)*xp))*Gausssum1d(0,xp+beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp+gamma[i+5]+delta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(alpha[i+5]+beta[i+5])))
 840                         *((0.125*pow(2.0,pow(ypp-1,2)*(pow(xpp,2)*(gamma[j]+delta[j+1])+pow(xpp-1,2)*(gamma[j+1]+delta[j])))*(-I)*cexp(M_PI*I/2.0*(ypp*(delta[j]+delta[j+1])+pow(ypp+1,2)*(delta[j]+gamma[j+1]+2*beta[j+1])+pow(xpp,2)+2*(beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp)*xpp))*Gausssum1d(0,xpp+beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp+gamma[j+2]+delta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(alpha[j+2]+beta[j+2]))
 841                           *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+5]*yppp+pow(xppp+1,2)*(delta[j+3]+gamma[j+4]+2.0*beta[j+4])+xppp*(delta[j+3]+delta[j+4])))*Gausssum1d(1,beta[j+3]+beta[j+4]+delta[j+3]+(xppp+1)*gamma[j+4]+xppp*delta[j+4])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(gamma[j+5]+delta[j+5])));
 842                     }
 843                   }
 844                   for(yppp=ypp; yppp<=1; yppp++) {
 845                     for(xppp=(yppp*(delta[j+3]+delta[j+4])+ypp)%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+ypp)%2; xppp++) {
 846                       summand += ((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+2]*y+pow(x+1,2)*(delta[i]+gamma[i+1]+2.0*beta[i+1])+x*(delta[i]+delta[i+1])))*Gausssum1d(1,beta[i]+beta[i+1]+delta[i]+(x+1)*gamma[i+1]+x*delta[i+1])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(gamma[i+2]+delta[i+2]))
 847                                   *(0.125*(-I)*pow(2.0,(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3]))))*cexp(M_PI*I/2.0*(yp*(delta[i+3]+delta[i+4])+pow(yp+1,2)*(delta[i+3]+gamma[i+4]+2*beta[i+4])+pow(xp,2)+2*(beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp)*xp))*Gausssum1d(0,xp+beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp+gamma[i+5]+delta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(alpha[i+5]+beta[i+5])))
 848                         *(2.0*(0.125*pow(2.0,(pow(ypp-1,2)*(pow(xpp,2)*(gamma[j]+delta[j+1])+pow(xpp-1,2)*(gamma[j+1]+delta[j])))*(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*(-I)*cexp(M_PI*I/2.0*(ypp*(delta[j]+delta[j+1])+pow(ypp+1,2)*(delta[j]+gamma[j+1]+2*beta[j+1])+pow(xpp,2)+2*(beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp)*xpp))*Gausssum1d(0,xpp+beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp+gamma[j+2]+delta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(alpha[j+2]+beta[j+2]))
 849                           *(0.125*(-I)*cexp(M_PI*I/2.0*(yppp*(delta[j+3]+delta[j+4])+pow(yppp+1,2)*(delta[j+3]+gamma[j+4]+2*beta[j+4])+pow(xppp,2)+2*(beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp)*xppp))*Gausssum1d(0,xppp+beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp+gamma[j+5]+delta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(alpha[j+5]+beta[j+5])));
 850                     }
 851                   }
 852                 }
 853               }
 854             }
 855           }
 856         }
 857       }
 858
 859
 860       // seventh term
 861       for(y=0; y<=1; y++) {
 862         for(x=(y*(delta[i]+delta[i+1]))%2; x<=(1+y*(gamma[i]+gamma[i+1]))%2; x++) {
 863           for(yp=((gamma[i+3]+delta[i+4])*y)%2; yp<=(1+(gamma[i+3]+gamma[i+4])*y)%2; yp++) {
 864             //**for(xp=0;xp<=(yp*(gamma[i+3]+gamma[i+4])+(yp+1)*(gamma[i+3]+delta[i+4]))%2; xp++) {
 865             for(xp=yp*(beta[i+3]+alpha[i+4]+beta[i+4])%2;xp<=(yp*(beta[i+3]+alpha[i+4]+beta[i+4])+yp*(gamma[i+3]+gamma[i+4])+(yp+1)*(gamma[i+3]+delta[i+4]))%2; xp++) {
 866
 867               //for(ypp=0; ypp<=1; ypp++) {
 868               for(ypp=((gamma[j]+delta[j+1])*(y+xp))%2;ypp<=(1+(gamma[j]+gamma[j+1])*(y+xp))%2;ypp++) {
 869                 //****for(ypp=((gamma[j]+delta[j+1])*(y+xp*(1+alpha[i+3]+beta[i+3])))%2;ypp<=(1+(gamma[j]+gamma[j+1])*(y+xp*(1+alpha[i+3]+beta[i+3])))%2;ypp++) {
 870                 //**for(xpp=0;xpp<=(ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
 871                 for(xpp=ypp*(beta[j]+alpha[j+1]+beta[j+1])%2;xpp<=(ypp*(beta[j]+alpha[j+1]+beta[j+1])+ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
 872                   //for(yppp=((gamma[j+3]+delta[j+4])*xpp)%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*xpp)%2; yppp++) {
 873                   for(yppp=((gamma[j+3]+delta[j+4])*(y+xp+xpp))%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*(y+xp+xpp))%2; yppp++) {
 874                   //****for(yppp=((gamma[j+3]+delta[j+4])*(y+xp*(1+alpha[i+3]+beta[i+3])+xpp*(1+alpha[j]+beta[j])))%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*(y+xp*(1+alpha[i+3]+beta[i+3])+xpp*(1+alpha[j]+beta[j])))%2; yppp++) {
 875                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 876                     for(xppp=yppp*(beta[j+3]+alpha[j+4]+beta[j+4])%2;xppp<=(yppp*(beta[j+3]+alpha[j+4]+beta[j+4])+yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 877                       //summand += (2.0*(0.125*pow(2.0,(pow(y-1,2)*(pow(x,2)*(gamma[i]+delta[i+1])+pow(x-1,2)*(gamma[i+1]+delta[i])))*(1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2)))*(-I)*cexp(M_PI*I/2.0*(y*(delta[i]+delta[i+1])+pow(y+1,2)*(delta[i]+gamma[i+1]+2*beta[i+1])+pow(x,2)+2*(beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y)*x))*Gausssum1d(0,x+beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y+gamma[i+2]+delta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(alpha[i+2]+beta[i+2]))
 878                       summand += 2.0*(2.0*(0.125*pow(2.0,(pow(y-1,2)*(pow(x,2)*(gamma[i]+delta[i+1])+pow(x-1,2)*(gamma[i+1]+delta[i])))*(1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2))*(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2)))*(-I)*cexp(M_PI*I/2.0*(y*(delta[i]+delta[i+1])+pow(y+1,2)*(delta[i]+gamma[i+1]+2*beta[i+1])+pow(x,2)+2*(beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y)*x))*Gausssum1d(0,x+beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y+gamma[i+2]+delta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(alpha[i+2]+beta[i+2]))
 879                 *(0.125*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*Gausssum1d(0.0,beta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(gamma[i+5]+delta[i+5])
 880                   + 0.125*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*csqrt(-I)*Gausssum1d(gamma[i+5]+delta[i+5],0)*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(alpha[i+5]+beta[i+5])))
 881                         //*(2.0*(0.125*pow(2.0,(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2)))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*Gausssum1d(0.0,beta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(gamma[j+2]+delta[j+2])
 882                         *(2.0*(0.125*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*Gausssum1d(0.0,beta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(gamma[j+2]+delta[j+2])
 883                                //+ 0.125*pow(2.0,(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2)))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*csqrt(-I)*Gausssum1d(gamma[j+2]+delta[j+2],0)*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(alpha[j+2]+beta[j+2]))
 884                               + 0.125*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*csqrt(-I)*Gausssum1d(gamma[j+2]+delta[j+2],0)*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(alpha[j+2]+beta[j+2]))
 885                         *(0.125*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*Gausssum1d(0.0,beta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(gamma[j+5]+delta[j+5])
 886                           + 0.125*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*csqrt(-I)*Gausssum1d(gamma[j+5]+delta[j+5],0)*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(alpha[j+5]+beta[j+5])));
 887                     }
 888                   }
 889                 }
 890               }
 891               for(ypp=0; ypp<=1; ypp++) {
 892                 //**for(xpp=0;xpp<=(ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
 893                 for(xpp=ypp*(beta[j]+alpha[j+1]+beta[j+1])%2;xpp<=(ypp*(beta[j]+alpha[j+1]+beta[j+1])+ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
 894                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
 895                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
 896                       summand += (2.0*(0.125*pow(2.0,(pow(y-1,2)*(pow(x,2)*(gamma[i]+delta[i+1])+pow(x-1,2)*(gamma[i+1]+delta[i])))*(1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2)))*(-I)*cexp(M_PI*I/2.0*(y*(delta[i]+delta[i+1])+pow(y+1,2)*(delta[i]+gamma[i+1]+2*beta[i+1])+pow(x,2)+2*(beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y)*x))*Gausssum1d(0,x+beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y+gamma[i+2]+delta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(alpha[i+2]+beta[i+2]))
 897                 *(0.125*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*Gausssum1d(0.0,beta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(gamma[i+5]+delta[i+5])
 898                   + 0.125*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*csqrt(-I)*Gausssum1d(gamma[i+5]+delta[i+5],0)*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(alpha[i+5]+beta[i+5])))
 899                         *((0.125*pow(2.0,1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*Gausssum1d(0.0,beta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(gamma[j+2]+delta[j+2])
 900                                   + 0.125*pow(2.0,1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*csqrt(-I)*Gausssum1d(gamma[j+2]+delta[j+2],0)*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(alpha[j+2]+beta[j+2]))
 901                           *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+5]*yppp+pow(xppp+1,2)*(delta[j+3]+gamma[j+4]+2.0*beta[j+4])+xppp*(delta[j+3]+delta[j+4])))*Gausssum1d(1,beta[j+3]+beta[j+4]+delta[j+3]+(xppp+1)*gamma[j+4]+xppp*delta[j+4])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(gamma[j+5]+delta[j+5])));
 902                     }
 903                   }
 904                 }
 905               }
 906
 907               //for(ypp=0; ypp<=1; ypp++) {
 908               for(ypp=((gamma[j]+delta[j+1])*(y+xp))%2;ypp<=(1+(gamma[j]+gamma[j+1])*(y+xp))%2;ypp++) {
 909               //****for(ypp=((gamma[j]+delta[j+1])*(y+xp*(1+alpha[i+3]+beta[i+3])))%2;ypp<=(1+(gamma[j]+gamma[j+1])*(y+xp*(1+alpha[i+3]+beta[i+3])))%2;ypp++) {
 910                 //**for(xpp=0;xpp<=(ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
 911                 for(xpp=ypp*(beta[j]+alpha[j+1]+beta[j+1])%2;xpp<=(ypp*(beta[j]+alpha[j+1]+beta[j+1])+ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
 912                   //for(yppp=xpp; yppp<=1; yppp++) {
 913                   //**for(yppp=(y+xp+xpp)%2; yppp<=1; yppp++) {
 914                   for(yppp=(y+xp*(1+alpha[i+3]+beta[i+3])+xpp*(1+alpha[j]+beta[j]))%2; yppp<=1; yppp++) {
 915                     //for(xppp=(yppp*(delta[j+3]+delta[j+4])+xpp)%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+xpp)%2; xppp++) {
 916                     //**for(xppp=(yppp*(delta[j+3]+delta[j+4])+(y+xp+xpp))%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+(y+xp+xpp))%2; xppp++) {
 917                     for(xppp=(yppp*(delta[j+3]+delta[j+4])+(y+xp*(1+alpha[i+3]+beta[i+3])+xpp*(1+alpha[j]+beta[j])))%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+(y+xp*(1+alpha[i+3]+beta[i+3])+xpp*(1+alpha[j]+beta[j])))%2; xppp++) {
 918                       //summand += (2.0*(0.125*pow(2.0,(pow(y-1,2)*(pow(x,2)*(gamma[i]+delta[i+1])+pow(x-1,2)*(gamma[i+1]+delta[i])))*(1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2)))*(-I)*cexp(M_PI*I/2.0*(y*(delta[i]+delta[i+1])+pow(y+1,2)*(delta[i]+gamma[i+1]+2*beta[i+1])+pow(x,2)+2*(beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y)*x))*Gausssum1d(0,x+beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y+gamma[i+2]+delta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(alpha[i+2]+beta[i+2]))
 919                       summand += 2.0*(2.0*(0.125*pow(2.0,(pow(y-1,2)*(pow(x,2)*(gamma[i]+delta[i+1])+pow(x-1,2)*(gamma[i+1]+delta[i])))*(1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2))*(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*(-I)*cexp(M_PI*I/2.0*(y*(delta[i]+delta[i+1])+pow(y+1,2)*(delta[i]+gamma[i+1]+2*beta[i+1])+pow(x,2)+2*(beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y)*x))*Gausssum1d(0,x+beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y+gamma[i+2]+delta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(alpha[i+2]+beta[i+2]))
 920                 *(0.125*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*Gausssum1d(0.0,beta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(gamma[i+5]+delta[i+5])
 921                   + 0.125*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*csqrt(-I)*Gausssum1d(gamma[i+5]+delta[i+5],0)*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(alpha[i+5]+beta[i+5])))
 922                         //*(2.0*(0.125*pow(2.0,(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*Gausssum1d(0.0,beta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(gamma[j+2]+delta[j+2])
 923                         *(2.0*(0.125*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*Gausssum1d(0.0,beta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(gamma[j+2]+delta[j+2])
 924                                //+ 0.125*pow(2.0,(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*csqrt(-I)*Gausssum1d(gamma[j+2]+delta[j+2],0)*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(alpha[j+2]+beta[j+2]))
 925                                + 0.125*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*csqrt(-I)*Gausssum1d(gamma[j+2]+delta[j+2],0)*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(alpha[j+2]+beta[j+2]))
 926                           *(0.125*(-I)*cexp(M_PI*I/2.0*(yppp*(delta[j+3]+delta[j+4])+pow(yppp+1,2)*(delta[j+3]+gamma[j+4]+2*beta[j+4])+pow(xppp,2)+2*(beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp)*xppp))*Gausssum1d(0,xppp+beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp+gamma[j+5]+delta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(alpha[j+5]+beta[j+5])));
 927                     }
 928                   }
 929                 }
 930               }
 931
 932               for(ypp=0; ypp<=(1+alpha[j+2])%2; ypp++) {
 933                 for(xpp=0; xpp<=(1+beta[j+2])%2; xpp++) {
 934                   for(yppp=0; yppp<=1; yppp++) {
 935                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 936                     for(xppp=yppp*(beta[j+3]+alpha[j+4]+beta[j+4])%2;xppp<=(yppp*(beta[j+3]+alpha[j+4]+beta[j+4])+yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 937                       summand += (2.0*(0.125*pow(2.0,(pow(y-1,2)*(pow(x,2)*(gamma[i]+delta[i+1])+pow(x-1,2)*(gamma[i+1]+delta[i])))*(1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2)))*(-I)*cexp(M_PI*I/2.0*(y*(delta[i]+delta[i+1])+pow(y+1,2)*(delta[i]+gamma[i+1]+2*beta[i+1])+pow(x,2)+2*(beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y)*x))*Gausssum1d(0,x+beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y+gamma[i+2]+delta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(alpha[i+2]+beta[i+2]))
 938                 *(0.125*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*Gausssum1d(0.0,beta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(gamma[i+5]+delta[i+5])
 939                   + 0.125*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*csqrt(-I)*Gausssum1d(gamma[i+5]+delta[i+5],0)*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(alpha[i+5]+beta[i+5])))
 940                         *((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+2]*ypp+pow(xpp+1,2)*(delta[j]+gamma[j+1]+2.0*beta[j+1])+xpp*(delta[j]+delta[j+1])))*Gausssum1d(1,beta[j]+beta[j+1]+delta[j]+(xpp+1)*gamma[j+1]+xpp*delta[j+1])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(gamma[j+2]+delta[j+2]))
 941                           *(0.125*pow(2.0,1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2))*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*Gausssum1d(0.0,beta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(gamma[j+5]+delta[j+5])
 942                             + 0.125*pow(2.0,1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2))*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*csqrt(-I)*Gausssum1d(gamma[j+5]+delta[j+5],0)*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(alpha[j+5]+beta[j+5])));
 943                     }
 944                   }
 945                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
 946                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
 947                       summand += (2.0*(0.125*pow(2.0,(pow(y-1,2)*(pow(x,2)*(gamma[i]+delta[i+1])+pow(x-1,2)*(gamma[i+1]+delta[i])))*(1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2)))*(-I)*cexp(M_PI*I/2.0*(y*(delta[i]+delta[i+1])+pow(y+1,2)*(delta[i]+gamma[i+1]+2*beta[i+1])+pow(x,2)+2*(beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y)*x))*Gausssum1d(0,x+beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y+gamma[i+2]+delta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(alpha[i+2]+beta[i+2]))
 948                 *(0.125*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*Gausssum1d(0.0,beta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(gamma[i+5]+delta[i+5])
 949                   + 0.125*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*csqrt(-I)*Gausssum1d(gamma[i+5]+delta[i+5],0)*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(alpha[i+5]+beta[i+5])))
 950                         *((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+2]*ypp+pow(xpp+1,2)*(delta[j]+gamma[j+1]+2.0*beta[j+1])+xpp*(delta[j]+delta[j+1])))*Gausssum1d(1,beta[j]+beta[j+1]+delta[j]+(xpp+1)*gamma[j+1]+xpp*delta[j+1])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(gamma[j+2]+delta[j+2]))
 951                           *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+5]*yppp+pow(xppp+1,2)*(delta[j+3]+gamma[j+4]+2.0*beta[j+4])+xppp*(delta[j+3]+delta[j+4])))*Gausssum1d(1,beta[j+3]+beta[j+4]+delta[j+3]+(xppp+1)*gamma[j+4]+xppp*delta[j+4])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(gamma[j+5]+delta[j+5])));
 952                     }
 953                   }
 954                   for(yppp=0; yppp<=1; yppp++) {
 955                     for(xppp=(yppp*(delta[j+3]+delta[j+4]))%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4]))%2; xppp++) {
 956                       summand += (2.0*(0.125*pow(2.0,(pow(y-1,2)*(pow(x,2)*(gamma[i]+delta[i+1])+pow(x-1,2)*(gamma[i+1]+delta[i])))*(1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2)))*(-I)*cexp(M_PI*I/2.0*(y*(delta[i]+delta[i+1])+pow(y+1,2)*(delta[i]+gamma[i+1]+2*beta[i+1])+pow(x,2)+2*(beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y)*x))*Gausssum1d(0,x+beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y+gamma[i+2]+delta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(alpha[i+2]+beta[i+2]))
 957                 *(0.125*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*Gausssum1d(0.0,beta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(gamma[i+5]+delta[i+5])
 958                   + 0.125*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*csqrt(-I)*Gausssum1d(gamma[i+5]+delta[i+5],0)*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(alpha[i+5]+beta[i+5])))
 959                         *((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+2]*ypp+pow(xpp+1,2)*(delta[j]+gamma[j+1]+2.0*beta[j+1])+xpp*(delta[j]+delta[j+1])))*Gausssum1d(1,beta[j]+beta[j+1]+delta[j]+(xpp+1)*gamma[j+1]+xpp*delta[j+1])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(gamma[j+2]+delta[j+2]))
 960                           *(0.125*(-I)*pow(2.0,(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*cexp(M_PI*I/2.0*(yppp*(delta[j+3]+delta[j+4])+pow(yppp+1,2)*(delta[j+3]+gamma[j+4]+2*beta[j+4])+pow(xppp,2)+2*(beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp)*xppp))*Gausssum1d(0,xppp+beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp+gamma[j+5]+delta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(alpha[j+5]+beta[j+5])));
 961                     }
 962                   }
 963                 }
 964               }
 965
 966               //for(ypp=0; ypp<=1; ypp++) {
 967               //**for(ypp=(y+xp)%2; ypp<=1; ypp++) {
 968               for(ypp=(y+xp*(1+alpha[i+3]+beta[i+3]))%2; ypp<=1; ypp++) {
 969                 //for(xpp=(ypp*(delta[j]+delta[j+1]))%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1]))%2; xpp++) {
 970                 //**for(xpp=(ypp*(delta[j]+delta[j+1])+y+xp)%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1])+y+xp)%2; xpp++) {
 971                 for(xpp=(ypp*(delta[j]+delta[j+1])+y+xp*(1+alpha[i+3]+beta[i+3]))%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1])+y+xp*(1+alpha[i+3]+beta[i+3]))%2; xpp++) {
 972                   //for(yppp=((gamma[j+3]+delta[j+4])*ypp)%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*ypp)%2; yppp++) {
 973                   for(yppp=((gamma[j+3]+delta[j+4])*(y+xp+ypp))%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*(y+xp+ypp))%2; yppp++) {
 974                     //****for(yppp=((gamma[j+3]+delta[j+4])*(y+xp*(1+alpha[i+3]+beta[i+3])+ypp))%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*(y+xp*(1+alpha[i+3]+beta[i+3])+ypp))%2; yppp++) {
 975                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 976                     for(xppp=yppp*(beta[j+3]+alpha[j+4]+beta[j+4])%2;xppp<=(yppp*(beta[j+3]+alpha[j+4]+beta[j+4])+yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 977                       //summand += (2.0*(0.125*pow(2.0,(pow(y-1,2)*(pow(x,2)*(gamma[i]+delta[i+1])+pow(x-1,2)*(gamma[i+1]+delta[i])))*(1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2)))*(-I)*cexp(M_PI*I/2.0*(y*(delta[i]+delta[i+1])+pow(y+1,2)*(delta[i]+gamma[i+1]+2*beta[i+1])+pow(x,2)+2*(beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y)*x))*Gausssum1d(0,x+beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y+gamma[i+2]+delta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(alpha[i+2]+beta[i+2]))
 978                       summand += 2.0*(2.0*(0.125*pow(2.0,(pow(y-1,2)*(pow(x,2)*(gamma[i]+delta[i+1])+pow(x-1,2)*(gamma[i+1]+delta[i])))*(1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2))*(pow(ypp-1,2)*(pow(xpp,2)*(gamma[j]+delta[j+1])+pow(xpp-1,2)*(gamma[j+1]+delta[j])))*(1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2)))*(-I)*cexp(M_PI*I/2.0*(y*(delta[i]+delta[i+1])+pow(y+1,2)*(delta[i]+gamma[i+1]+2*beta[i+1])+pow(x,2)+2*(beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y)*x))*Gausssum1d(0,x+beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y+gamma[i+2]+delta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(alpha[i+2]+beta[i+2]))
 979                 *(0.125*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*Gausssum1d(0.0,beta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(gamma[i+5]+delta[i+5])
 980                   + 0.125*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*csqrt(-I)*Gausssum1d(gamma[i+5]+delta[i+5],0)*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(alpha[i+5]+beta[i+5])))
 981                         //*(2.0*(0.125*pow(2.0,(pow(ypp-1,2)*(pow(xpp,2)*(gamma[j]+delta[j+1])+pow(xpp-1,2)*(gamma[j+1]+delta[j])))*(1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2)))*(-I)*cexp(M_PI*I/2.0*(ypp*(delta[j]+delta[j+1])+pow(ypp+1,2)*(delta[j]+gamma[j+1]+2*beta[j+1])+pow(xpp,2)+2*(beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp)*xpp))*Gausssum1d(0,xpp+beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp+gamma[j+2]+delta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(alpha[j+2]+beta[j+2]))
 982                         *(2.0*(0.125*(-I)*cexp(M_PI*I/2.0*(ypp*(delta[j]+delta[j+1])+pow(ypp+1,2)*(delta[j]+gamma[j+1]+2*beta[j+1])+pow(xpp,2)+2*(beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp)*xpp))*Gausssum1d(0,xpp+beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp+gamma[j+2]+delta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(alpha[j+2]+beta[j+2]))
 983                           *(0.125*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*Gausssum1d(0.0,beta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(gamma[j+5]+delta[j+5])
 984                             + 0.125*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*csqrt(-I)*Gausssum1d(gamma[j+5]+delta[j+5],0)*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(alpha[j+5]+beta[j+5])));
 985                     }
 986                   }
 987                 }
 988               }
 989               for(ypp=0; ypp<=1; ypp++) {
 990                 for(xpp=(ypp*(delta[j]+delta[j+1]))%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1]))%2; xpp++) {
 991                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
 992                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
 993                       summand += (2.0*(0.125*pow(2.0,(pow(y-1,2)*(pow(x,2)*(gamma[i]+delta[i+1])+pow(x-1,2)*(gamma[i+1]+delta[i])))*(1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2)))*(-I)*cexp(M_PI*I/2.0*(y*(delta[i]+delta[i+1])+pow(y+1,2)*(delta[i]+gamma[i+1]+2*beta[i+1])+pow(x,2)+2*(beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y)*x))*Gausssum1d(0,x+beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y+gamma[i+2]+delta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(alpha[i+2]+beta[i+2]))
 994                 *(0.125*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*Gausssum1d(0.0,beta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(gamma[i+5]+delta[i+5])
 995                   + 0.125*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*csqrt(-I)*Gausssum1d(gamma[i+5]+delta[i+5],0)*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(alpha[i+5]+beta[i+5])))
 996                         *((0.125*pow(2.0,pow(ypp-1,2)*(pow(xpp,2)*(gamma[j]+delta[j+1])+pow(xpp-1,2)*(gamma[j+1]+delta[j])))*(-I)*cexp(M_PI*I/2.0*(ypp*(delta[j]+delta[j+1])+pow(ypp+1,2)*(delta[j]+gamma[j+1]+2*beta[j+1])+pow(xpp,2)+2*(beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp)*xpp))*Gausssum1d(0,xpp+beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp+gamma[j+2]+delta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(alpha[j+2]+beta[j+2]))
 997                           *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+5]*yppp+pow(xppp+1,2)*(delta[j+3]+gamma[j+4]+2.0*beta[j+4])+xppp*(delta[j+3]+delta[j+4])))*Gausssum1d(1,beta[j+3]+beta[j+4]+delta[j+3]+(xppp+1)*gamma[j+4]+xppp*delta[j+4])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(gamma[j+5]+delta[j+5])));
 998                     }
 999                   }
1000                 }
1001               }
1002               //for(ypp=0; ypp<=1; ypp++) {
1003               //**for(ypp=(y+xp)%2; ypp<=1; ypp++) {
1004               for(ypp=(y+xp*(1+alpha[i+3]+beta[i+3]))%2; ypp<=1; ypp++) {
1005                 //for(xpp=(ypp*(delta[j]+delta[j+1]))%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1]))%2; xpp++) {
1006                 //**for(xpp=(ypp*(delta[j]+delta[j+1])+y+xp)%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1])+y+xp)%2; xpp++) {
1007                 for(xpp=(ypp*(delta[j]+delta[j+1])+y+xp*(1+alpha[i+3]+beta[i+3]))%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1])+y+xp*(1+alpha[i+3]+beta[i+3]))%2; xpp++) {
1008                   //for(yppp=ypp; yppp<=1; yppp++) {
1009                   //**for(yppp=(y+xp+ypp)%2; yppp<=1; yppp++) {
1010                   for(yppp=(y+xp*(1+alpha[i+3]+beta[i+3])+ypp)%2; yppp<=1; yppp++) {
1011                     //for(xppp=(yppp*(delta[j+3]+delta[j+4])+ypp)%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+ypp)%2; xppp++) {
1012                     //**for(xppp=(yppp*(delta[j+3]+delta[j+4])+y+xp+ypp)%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+y+xp+ypp)%2; xppp++) {
1013                     for(xppp=(yppp*(delta[j+3]+delta[j+4])+y+xp*(1+alpha[i+3]+beta[i+3])+ypp)%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+y+xp*(1+alpha[i+3]+beta[i+3])+ypp)%2; xppp++) {
1014                       //summand += (2.0*(0.125*pow(2.0,(pow(y-1,2)*(pow(x,2)*(gamma[i]+delta[i+1])+pow(x-1,2)*(gamma[i+1]+delta[i])))*(1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2)))*(-I)*cexp(M_PI*I/2.0*(y*(delta[i]+delta[i+1])+pow(y+1,2)*(delta[i]+gamma[i+1]+2*beta[i+1])+pow(x,2)+2*(beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y)*x))*Gausssum1d(0,x+beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y+gamma[i+2]+delta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(alpha[i+2]+beta[i+2]))
1015                       summand += 2.0*(2.0*(0.125*pow(2.0,(pow(y-1,2)*(pow(x,2)*(gamma[i]+delta[i+1])+pow(x-1,2)*(gamma[i+1]+delta[i])))*(1-yp*pow(gamma[i+3]-gamma[i+4],2)-pow(yp-1,2)*pow(gamma[i+3]-delta[i+4],2))*(pow(ypp-1,2)*(pow(xpp,2)*(gamma[j]+delta[j+1])+pow(xpp-1,2)*(gamma[j+1]+delta[j])))*(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*(-I)*cexp(M_PI*I/2.0*(y*(delta[i]+delta[i+1])+pow(y+1,2)*(delta[i]+gamma[i+1]+2*beta[i+1])+pow(x,2)+2*(beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y)*x))*Gausssum1d(0,x+beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y+gamma[i+2]+delta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(alpha[i+2]+beta[i+2]))
1016                 *(0.125*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*Gausssum1d(0.0,beta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(gamma[i+5]+delta[i+5])
1017                   + 0.125*cexp(M_PI*I/2.0*((delta[i+4]-gamma[i+3])*pow(yp+1,2)+2.0*(beta[i+3]+beta[i+4]+gamma[i+3]+delta[i+4])*xp*pow(yp+1,2)+2.0*(delta[i+3]+delta[i+4]+beta[i+3]+beta[i+4])*xp*yp+(2.0*beta[i+3]+3.0*delta[i+3]+delta[i+4])*yp))*csqrt(-I)*Gausssum1d(gamma[i+5]+delta[i+5],0)*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4])*Kroneck(alpha[i+5]+beta[i+5])))
1018                         //*(2.0*(0.125*pow(2.0,(pow(ypp-1,2)*(pow(xpp,2)*(gamma[j]+delta[j+1])+pow(xpp-1,2)*(gamma[j+1]+delta[j])))*(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*(-I)*cexp(M_PI*I/2.0*(ypp*(delta[j]+delta[j+1])+pow(ypp+1,2)*(delta[j]+gamma[j+1]+2*beta[j+1])+pow(xpp,2)+2*(beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp)*xpp))*Gausssum1d(0,xpp+beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp+gamma[j+2]+delta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(alpha[j+2]+beta[j+2]))
1019                         *(2.0*(0.125*(-I)*cexp(M_PI*I/2.0*(ypp*(delta[j]+delta[j+1])+pow(ypp+1,2)*(delta[j]+gamma[j+1]+2*beta[j+1])+pow(xpp,2)+2*(beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp)*xpp))*Gausssum1d(0,xpp+beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp+gamma[j+2]+delta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(alpha[j+2]+beta[j+2]))
1020                           *(0.125*(-I)*cexp(M_PI*I/2.0*(yppp*(delta[j+3]+delta[j+4])+pow(yppp+1,2)*(delta[j+3]+gamma[j+4]+2*beta[j+4])+pow(xppp,2)+2*(beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp)*xppp))*Gausssum1d(0,xppp+beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp+gamma[j+5]+delta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(alpha[j+5]+beta[j+5])));
1021                     }
1022                   }
1023                 }
1024               }
1025             }
1026           }
1027         }
1028       }
1029
1030
1031       // eighth term
1032       for(y=0; y<=1; y++) {
1033         for(x=(y*(delta[i]+delta[i+1]))%2; x<=(1+y*(gamma[i]+gamma[i+1]))%2; x++) {
1034           for(yp=0; yp<=(1+alpha[i+5])%2; yp++) {
1035             for(xp=0;xp<=(1+beta[i+5])%2; xp++) {
1036               for(ypp=0; ypp<=1; ypp++) {
1037                 //**for(xpp=0;xpp<=(ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
1038                 for(xpp=ypp*(beta[j]+alpha[j+1]+beta[j+1])%2;xpp<=(ypp*(beta[j]+alpha[j+1]+beta[j+1])+ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
1039                   for(yppp=((gamma[j+3]+delta[j+4])*xpp)%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*xpp)%2; yppp++) {
1040                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
1041                     for(xppp=yppp*(beta[j+3]+alpha[j+4]+beta[j+4])%2;xppp<=(yppp*(beta[j+3]+alpha[j+4]+beta[j+4])+yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
1042                       summand += ((0.125*pow(2.0,pow(y-1,2)*(pow(x,2)*(gamma[i]+delta[i+1])+pow(x-1,2)*(gamma[i+1]+delta[i])))*(-I)*cexp(M_PI*I/2.0*(y*(delta[i]+delta[i+1])+pow(y+1,2)*(delta[i]+gamma[i+1]+2*beta[i+1])+pow(x,2)+2*(beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y)*x))*Gausssum1d(0,x+beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y+gamma[i+2]+delta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(alpha[i+2]+beta[i+2]))
1043                                   *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+5]*yp+pow(xp+1,2)*(delta[i+3]+gamma[i+4]+2.0*beta[i+4])+xp*(delta[i+3]+delta[i+4])))*Gausssum1d(1,beta[i+3]+beta[i+4]+delta[i+3]+(xp+1)*gamma[i+4]+xp*delta[i+4])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(gamma[i+5]+delta[i+5])))
1044                         *(2.0*(0.125*pow(2.0,(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2)))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*Gausssum1d(0.0,beta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(gamma[j+2]+delta[j+2])
1045                               + 0.125*pow(2.0,(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2)))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*csqrt(-I)*Gausssum1d(gamma[j+2]+delta[j+2],0)*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(alpha[j+2]+beta[j+2]))
1046                         *(0.125*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*Gausssum1d(0.0,beta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(gamma[j+5]+delta[j+5])
1047                           + 0.125*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*csqrt(-I)*Gausssum1d(gamma[j+5]+delta[j+5],0)*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(alpha[j+5]+beta[j+5])));
1048                     }
1049                   }
1050                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
1051                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
1052                       summand += ((0.125*pow(2.0,pow(y-1,2)*(pow(x,2)*(gamma[i]+delta[i+1])+pow(x-1,2)*(gamma[i+1]+delta[i])))*(-I)*cexp(M_PI*I/2.0*(y*(delta[i]+delta[i+1])+pow(y+1,2)*(delta[i]+gamma[i+1]+2*beta[i+1])+pow(x,2)+2*(beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y)*x))*Gausssum1d(0,x+beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y+gamma[i+2]+delta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(alpha[i+2]+beta[i+2]))
1053                                   *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+5]*yp+pow(xp+1,2)*(delta[i+3]+gamma[i+4]+2.0*beta[i+4])+xp*(delta[i+3]+delta[i+4])))*Gausssum1d(1,beta[i+3]+beta[i+4]+delta[i+3]+(xp+1)*gamma[i+4]+xp*delta[i+4])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(gamma[i+5]+delta[i+5])))
1054                         *((0.125*pow(2.0,1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*Gausssum1d(0.0,beta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(gamma[j+2]+delta[j+2])
1055                                   + 0.125*pow(2.0,1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*csqrt(-I)*Gausssum1d(gamma[j+2]+delta[j+2],0)*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(alpha[j+2]+beta[j+2]))
1056                           *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+5]*yppp+pow(xppp+1,2)*(delta[j+3]+gamma[j+4]+2.0*beta[j+4])+xppp*(delta[j+3]+delta[j+4])))*Gausssum1d(1,beta[j+3]+beta[j+4]+delta[j+3]+(xppp+1)*gamma[j+4]+xppp*delta[j+4])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(gamma[j+5]+delta[j+5])));
1057                     }
1058                   }
1059                   //**for(yppp=xpp; yppp<=1; yppp++) {
1060                   for(yppp=xpp*(1+alpha[j]+beta[j])%2; yppp<=1; yppp++) {
1061                     //**for(xppp=(yppp*(delta[j+3]+delta[j+4])+xpp)%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+xpp)%2; xppp++) {
1062                     for(xppp=(yppp*(delta[j+3]+delta[j+4])+xpp*(1+alpha[j]+beta[j]))%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+xpp*(1+alpha[j]+beta[j]))%2; xppp++) {
1063                       summand += ((0.125*pow(2.0,pow(y-1,2)*(pow(x,2)*(gamma[i]+delta[i+1])+pow(x-1,2)*(gamma[i+1]+delta[i])))*(-I)*cexp(M_PI*I/2.0*(y*(delta[i]+delta[i+1])+pow(y+1,2)*(delta[i]+gamma[i+1]+2*beta[i+1])+pow(x,2)+2*(beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y)*x))*Gausssum1d(0,x+beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y+gamma[i+2]+delta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(alpha[i+2]+beta[i+2]))
1064                                   *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+5]*yp+pow(xp+1,2)*(delta[i+3]+gamma[i+4]+2.0*beta[i+4])+xp*(delta[i+3]+delta[i+4])))*Gausssum1d(1,beta[i+3]+beta[i+4]+delta[i+3]+(xp+1)*gamma[i+4]+xp*delta[i+4])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(gamma[i+5]+delta[i+5])))
1065                         *(2.0*(0.125*pow(2.0,(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*Gausssum1d(0.0,beta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(gamma[j+2]+delta[j+2])
1066                                       + 0.125*pow(2.0,(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*csqrt(-I)*Gausssum1d(gamma[j+2]+delta[j+2],0)*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(alpha[j+2]+beta[j+2]))
1067                           *(0.125*(-I)*cexp(M_PI*I/2.0*(yppp*(delta[j+3]+delta[j+4])+pow(yppp+1,2)*(delta[j+3]+gamma[j+4]+2*beta[j+4])+pow(xppp,2)+2*(beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp)*xppp))*Gausssum1d(0,xppp+beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp+gamma[j+5]+delta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(alpha[j+5]+beta[j+5])));
1068                     }
1069                   }
1070                 }
1071               }
1072
1073               for(ypp=0; ypp<=(1+alpha[j+2])%2; ypp++) {
1074                 for(xpp=0; xpp<=(1+beta[j+2])%2; xpp++) {
1075                   for(yppp=0; yppp<=1; yppp++) {
1076                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
1077                     for(xppp=yppp*(beta[j+3]+alpha[j+4]+beta[j+4])%2;xppp<=(yppp*(beta[j+3]+alpha[j+4]+beta[j+4])+yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
1078                       summand += ((0.125*pow(2.0,pow(y-1,2)*(pow(x,2)*(gamma[i]+delta[i+1])+pow(x-1,2)*(gamma[i+1]+delta[i])))*(-I)*cexp(M_PI*I/2.0*(y*(delta[i]+delta[i+1])+pow(y+1,2)*(delta[i]+gamma[i+1]+2*beta[i+1])+pow(x,2)+2*(beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y)*x))*Gausssum1d(0,x+beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y+gamma[i+2]+delta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(alpha[i+2]+beta[i+2]))
1079                                   *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+5]*yp+pow(xp+1,2)*(delta[i+3]+gamma[i+4]+2.0*beta[i+4])+xp*(delta[i+3]+delta[i+4])))*Gausssum1d(1,beta[i+3]+beta[i+4]+delta[i+3]+(xp+1)*gamma[i+4]+xp*delta[i+4])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(gamma[i+5]+delta[i+5])))
1080                         *((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+2]*ypp+pow(xpp+1,2)*(delta[j]+gamma[j+1]+2.0*beta[j+1])+xpp*(delta[j]+delta[j+1])))*Gausssum1d(1,beta[j]+beta[j+1]+delta[j]+(xpp+1)*gamma[j+1]+xpp*delta[j+1])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(gamma[j+2]+delta[j+2]))
1081                           *(0.125*pow(2.0,1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2))*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*Gausssum1d(0.0,beta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(gamma[j+5]+delta[j+5])
1082                             + 0.125*pow(2.0,1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2))*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*csqrt(-I)*Gausssum1d(gamma[j+5]+delta[j+5],0)*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(alpha[j+5]+beta[j+5])));
1083                     }
1084                   }
1085                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
1086                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
1087                       summand += ((0.125*pow(2.0,pow(y-1,2)*(pow(x,2)*(gamma[i]+delta[i+1])+pow(x-1,2)*(gamma[i+1]+delta[i])))*(-I)*cexp(M_PI*I/2.0*(y*(delta[i]+delta[i+1])+pow(y+1,2)*(delta[i]+gamma[i+1]+2*beta[i+1])+pow(x,2)+2*(beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y)*x))*Gausssum1d(0,x+beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y+gamma[i+2]+delta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(alpha[i+2]+beta[i+2]))
1088                                   *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+5]*yp+pow(xp+1,2)*(delta[i+3]+gamma[i+4]+2.0*beta[i+4])+xp*(delta[i+3]+delta[i+4])))*Gausssum1d(1,beta[i+3]+beta[i+4]+delta[i+3]+(xp+1)*gamma[i+4]+xp*delta[i+4])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(gamma[i+5]+delta[i+5])))
1089                         *((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+2]*ypp+pow(xpp+1,2)*(delta[j]+gamma[j+1]+2.0*beta[j+1])+xpp*(delta[j]+delta[j+1])))*Gausssum1d(1,beta[j]+beta[j+1]+delta[j]+(xpp+1)*gamma[j+1]+xpp*delta[j+1])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(gamma[j+2]+delta[j+2]))
1090                           *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+5]*yppp+pow(xppp+1,2)*(delta[j+3]+gamma[j+4]+2.0*beta[j+4])+xppp*(delta[j+3]+delta[j+4])))*Gausssum1d(1,beta[j+3]+beta[j+4]+delta[j+3]+(xppp+1)*gamma[j+4]+xppp*delta[j+4])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(gamma[j+5]+delta[j+5])));
1091                     }
1092                   }
1093                   for(yppp=0; yppp<=1; yppp++) {
1094                     for(xppp=(yppp*(delta[j+3]+delta[j+4]))%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4]))%2; xppp++) {
1095                       summand += ((0.125*pow(2.0,pow(y-1,2)*(pow(x,2)*(gamma[i]+delta[i+1])+pow(x-1,2)*(gamma[i+1]+delta[i])))*(-I)*cexp(M_PI*I/2.0*(y*(delta[i]+delta[i+1])+pow(y+1,2)*(delta[i]+gamma[i+1]+2*beta[i+1])+pow(x,2)+2*(beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y)*x))*Gausssum1d(0,x+beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y+gamma[i+2]+delta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(alpha[i+2]+beta[i+2]))
1096                                   *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+5]*yp+pow(xp+1,2)*(delta[i+3]+gamma[i+4]+2.0*beta[i+4])+xp*(delta[i+3]+delta[i+4])))*Gausssum1d(1,beta[i+3]+beta[i+4]+delta[i+3]+(xp+1)*gamma[i+4]+xp*delta[i+4])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(gamma[i+5]+delta[i+5])))
1097                         *((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+2]*ypp+pow(xpp+1,2)*(delta[j]+gamma[j+1]+2.0*beta[j+1])+xpp*(delta[j]+delta[j+1])))*Gausssum1d(1,beta[j]+beta[j+1]+delta[j]+(xpp+1)*gamma[j+1]+xpp*delta[j+1])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(gamma[j+2]+delta[j+2]))
1098                           *(0.125*(-I)*pow(2.0,(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*cexp(M_PI*I/2.0*(yppp*(delta[j+3]+delta[j+4])+pow(yppp+1,2)*(delta[j+3]+gamma[j+4]+2*beta[j+4])+pow(xppp,2)+2*(beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp)*xppp))*Gausssum1d(0,xppp+beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp+gamma[j+5]+delta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(alpha[j+5]+beta[j+5])));
1099                     }
1100                   }
1101                 }
1102               }
1103
1104               for(ypp=0; ypp<=1; ypp++) {
1105                 for(xpp=(ypp*(delta[j]+delta[j+1]))%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1]))%2; xpp++) {
1106                   for(yppp=((gamma[j+3]+delta[j+4])*ypp)%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*ypp)%2; yppp++) {
1107                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
1108                     for(xppp=yppp*(beta[j+3]+alpha[j+4]+beta[j+4])%2;xppp<=(yppp*(beta[j+3]+alpha[j+4]+beta[j+4])+yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
1109                       summand += ((0.125*pow(2.0,pow(y-1,2)*(pow(x,2)*(gamma[i]+delta[i+1])+pow(x-1,2)*(gamma[i+1]+delta[i])))*(-I)*cexp(M_PI*I/2.0*(y*(delta[i]+delta[i+1])+pow(y+1,2)*(delta[i]+gamma[i+1]+2*beta[i+1])+pow(x,2)+2*(beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y)*x))*Gausssum1d(0,x+beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y+gamma[i+2]+delta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(alpha[i+2]+beta[i+2]))
1110                                   *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+5]*yp+pow(xp+1,2)*(delta[i+3]+gamma[i+4]+2.0*beta[i+4])+xp*(delta[i+3]+delta[i+4])))*Gausssum1d(1,beta[i+3]+beta[i+4]+delta[i+3]+(xp+1)*gamma[i+4]+xp*delta[i+4])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(gamma[i+5]+delta[i+5])))
1111                         *(2.0*(0.125*pow(2.0,(pow(ypp-1,2)*(pow(xpp,2)*(gamma[j]+delta[j+1])+pow(xpp-1,2)*(gamma[j+1]+delta[j])))*(1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2)))*(-I)*cexp(M_PI*I/2.0*(ypp*(delta[j]+delta[j+1])+pow(ypp+1,2)*(delta[j]+gamma[j+1]+2*beta[j+1])+pow(xpp,2)+2*(beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp)*xpp))*Gausssum1d(0,xpp+beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp+gamma[j+2]+delta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(alpha[j+2]+beta[j+2]))
1112                           *(0.125*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*Gausssum1d(0.0,beta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(gamma[j+5]+delta[j+5])
1113                             + 0.125*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*csqrt(-I)*Gausssum1d(gamma[j+5]+delta[j+5],0)*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(alpha[j+5]+beta[j+5])));
1114                     }
1115                   }
1116                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
1117                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
1118                       summand += ((0.125*pow(2.0,pow(y-1,2)*(pow(x,2)*(gamma[i]+delta[i+1])+pow(x-1,2)*(gamma[i+1]+delta[i])))*(-I)*cexp(M_PI*I/2.0*(y*(delta[i]+delta[i+1])+pow(y+1,2)*(delta[i]+gamma[i+1]+2*beta[i+1])+pow(x,2)+2*(beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y)*x))*Gausssum1d(0,x+beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y+gamma[i+2]+delta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(alpha[i+2]+beta[i+2]))
1119                                   *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+5]*yp+pow(xp+1,2)*(delta[i+3]+gamma[i+4]+2.0*beta[i+4])+xp*(delta[i+3]+delta[i+4])))*Gausssum1d(1,beta[i+3]+beta[i+4]+delta[i+3]+(xp+1)*gamma[i+4]+xp*delta[i+4])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(gamma[i+5]+delta[i+5])))
1120                         *((0.125*pow(2.0,pow(ypp-1,2)*(pow(xpp,2)*(gamma[j]+delta[j+1])+pow(xpp-1,2)*(gamma[j+1]+delta[j])))*(-I)*cexp(M_PI*I/2.0*(ypp*(delta[j]+delta[j+1])+pow(ypp+1,2)*(delta[j]+gamma[j+1]+2*beta[j+1])+pow(xpp,2)+2*(beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp)*xpp))*Gausssum1d(0,xpp+beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp+gamma[j+2]+delta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(alpha[j+2]+beta[j+2]))
1121                           *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+5]*yppp+pow(xppp+1,2)*(delta[j+3]+gamma[j+4]+2.0*beta[j+4])+xppp*(delta[j+3]+delta[j+4])))*Gausssum1d(1,beta[j+3]+beta[j+4]+delta[j+3]+(xppp+1)*gamma[j+4]+xppp*delta[j+4])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(gamma[j+5]+delta[j+5])));
1122                     }
1123                   }
1124                   for(yppp=ypp; yppp<=1; yppp++) {
1125                     for(xppp=(yppp*(delta[j+3]+delta[j+4])+ypp)%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+ypp)%2; xppp++) {
1126                       summand += ((0.125*pow(2.0,pow(y-1,2)*(pow(x,2)*(gamma[i]+delta[i+1])+pow(x-1,2)*(gamma[i+1]+delta[i])))*(-I)*cexp(M_PI*I/2.0*(y*(delta[i]+delta[i+1])+pow(y+1,2)*(delta[i]+gamma[i+1]+2*beta[i+1])+pow(x,2)+2*(beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y)*x))*Gausssum1d(0,x+beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y+gamma[i+2]+delta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(alpha[i+2]+beta[i+2]))
1127                                   *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[i+5]*yp+pow(xp+1,2)*(delta[i+3]+gamma[i+4]+2.0*beta[i+4])+xp*(delta[i+3]+delta[i+4])))*Gausssum1d(1,beta[i+3]+beta[i+4]+delta[i+3]+(xp+1)*gamma[i+4]+xp*delta[i+4])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(gamma[i+5]+delta[i+5])))
1128                         *(2.0*(0.125*pow(2.0,(pow(ypp-1,2)*(pow(xpp,2)*(gamma[j]+delta[j+1])+pow(xpp-1,2)*(gamma[j+1]+delta[j])))*(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*(-I)*cexp(M_PI*I/2.0*(ypp*(delta[j]+delta[j+1])+pow(ypp+1,2)*(delta[j]+gamma[j+1]+2*beta[j+1])+pow(xpp,2)+2*(beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp)*xpp))*Gausssum1d(0,xpp+beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp+gamma[j+2]+delta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(alpha[j+2]+beta[j+2]))
1129                           *(0.125*(-I)*cexp(M_PI*I/2.0*(yppp*(delta[j+3]+delta[j+4])+pow(yppp+1,2)*(delta[j+3]+gamma[j+4]+2*beta[j+4])+pow(xppp,2)+2*(beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp)*xppp))*Gausssum1d(0,xppp+beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp+gamma[j+5]+delta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(alpha[j+5]+beta[j+5])));
1130                     }
1131                   }
1132                 }
1133               }
1134             }
1135           }
1136         }
1137       }
1138
1139
1140       // ninth term
1141       for(y=0; y<=1; y++) {
1142         for(x=(y*(delta[i]+delta[i+1]))%2; x<=(1+y*(gamma[i]+gamma[i+1]))%2; x++) {
1143           for(yp=y; yp<=1; yp++) {
1144             for(xp=(yp*(delta[i+3]+delta[i+4])+y)%2;xp<=(1+yp*(gamma[i+3]+gamma[i+4])+y)%2; xp++) {
1145               //for(ypp=0; ypp<=1; ypp++) {
1146               for(ypp=((gamma[j]+delta[j+1])*(y+yp))%2;ypp<=(1+(gamma[j]+gamma[j+1])*(y+yp))%2;ypp++) {
1147                 //**for(xpp=0;xpp<=(ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
1148                 for(xpp=ypp*(beta[j]+alpha[j+1]+beta[j+1])%2;xpp<=(ypp*(beta[j]+alpha[j+1]+beta[j+1])+ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
1149                   //for(yppp=((gamma[j+3]+delta[j+4])*xpp)%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*xpp)%2; yppp++) {
1150                   for(yppp=((gamma[j+3]+delta[j+4])*(y+yp+xpp))%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*(y+yp+xpp))%2; yppp++) {
1151                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
1152                     for(xppp=yppp*(beta[j+3]+alpha[j+4]+beta[j+4])%2;xppp<=(yppp*(beta[j+3]+alpha[j+4]+beta[j+4])+yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
1153                       //summand += (2.0*(0.125*pow(2.0,(pow(y-1,2)*(pow(x,2)*(gamma[i]+delta[i+1])+pow(x-1,2)*(gamma[i+1]+delta[i])))*(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3]))))*(-I)*cexp(M_PI*I/2.0*(y*(delta[i]+delta[i+1])+pow(y+1,2)*(delta[i]+gamma[i+1]+2*beta[i+1])+pow(x,2)+2*(beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y)*x))*Gausssum1d(0,x+beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y+gamma[i+2]+delta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(alpha[i+2]+beta[i+2]))
1154                       summand += 2.0*(2.0*(0.125*pow(2.0,(pow(y-1,2)*(pow(x,2)*(gamma[i]+delta[i+1])+pow(x-1,2)*(gamma[i+1]+delta[i])))*(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3])))*(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2)))*(-I)*cexp(M_PI*I/2.0*(y*(delta[i]+delta[i+1])+pow(y+1,2)*(delta[i]+gamma[i+1]+2*beta[i+1])+pow(x,2)+2*(beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y)*x))*Gausssum1d(0,x+beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y+gamma[i+2]+delta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(alpha[i+2]+beta[i+2]))
1155                                   *(0.125*(-I)*cexp(M_PI*I/2.0*(yp*(delta[i+3]+delta[i+4])+pow(yp+1,2)*(delta[i+3]+gamma[i+4]+2*beta[i+4])+pow(xp,2)+2*(beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp)*xp))*Gausssum1d(0,xp+beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp+gamma[i+5]+delta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(alpha[i+5]+beta[i+5])))
1156                         //*(2.0*(0.125*pow(2.0,(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2)))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*Gausssum1d(0.0,beta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(gamma[j+2]+delta[j+2])
1157                         *(2.0*(0.125*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*Gausssum1d(0.0,beta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(gamma[j+2]+delta[j+2])
1158                                //+ 0.125*pow(2.0,(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2)))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*csqrt(-I)*Gausssum1d(gamma[j+2]+delta[j+2],0)*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(alpha[j+2]+beta[j+2]))
1159                                + 0.125*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*csqrt(-I)*Gausssum1d(gamma[j+2]+delta[j+2],0)*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(alpha[j+2]+beta[j+2]))
1160                         *(0.125*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*Gausssum1d(0.0,beta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(gamma[j+5]+delta[j+5])
1161                           + 0.125*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*csqrt(-I)*Gausssum1d(gamma[j+5]+delta[j+5],0)*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(alpha[j+5]+beta[j+5])));
1162                     }
1163                   }
1164                 }
1165               }
1166               for(ypp=0; ypp<=1; ypp++) {
1167                 //**for(xpp=0;xpp<=(ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
1168                 for(xpp=ypp*(beta[j]+alpha[j+1]+beta[j+1])%2;xpp<=(ypp*(beta[j]+alpha[j+1]+beta[j+1])+ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
1169                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
1170                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
1171                       summand += (2.0*(0.125*pow(2.0,(pow(y-1,2)*(pow(x,2)*(gamma[i]+delta[i+1])+pow(x-1,2)*(gamma[i+1]+delta[i])))*(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3]))))*(-I)*cexp(M_PI*I/2.0*(y*(delta[i]+delta[i+1])+pow(y+1,2)*(delta[i]+gamma[i+1]+2*beta[i+1])+pow(x,2)+2*(beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y)*x))*Gausssum1d(0,x+beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y+gamma[i+2]+delta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(alpha[i+2]+beta[i+2]))
1172                                   *(0.125*(-I)*cexp(M_PI*I/2.0*(yp*(delta[i+3]+delta[i+4])+pow(yp+1,2)*(delta[i+3]+gamma[i+4]+2*beta[i+4])+pow(xp,2)+2*(beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp)*xp))*Gausssum1d(0,xp+beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp+gamma[i+5]+delta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(alpha[i+5]+beta[i+5])))
1173                         *((0.125*pow(2.0,1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*Gausssum1d(0.0,beta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(gamma[j+2]+delta[j+2])
1174                                   + 0.125*pow(2.0,1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*csqrt(-I)*Gausssum1d(gamma[j+2]+delta[j+2],0)*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(alpha[j+2]+beta[j+2]))
1175                           *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+5]*yppp+pow(xppp+1,2)*(delta[j+3]+gamma[j+4]+2.0*beta[j+4])+xppp*(delta[j+3]+delta[j+4])))*Gausssum1d(1,beta[j+3]+beta[j+4]+delta[j+3]+(xppp+1)*gamma[j+4]+xppp*delta[j+4])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(gamma[j+5]+delta[j+5])));
1176                     }
1177                   }
1178                 }
1179               }
1180               //for(ypp=0; ypp<=1; ypp++) {
1181               for(ypp=((gamma[j]+delta[j+1])*(y+yp))%2;ypp<=(1+(gamma[j]+gamma[j+1])*(y+yp))%2;ypp++) {
1182                 //**for(xpp=0;xpp<=(ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
1183                 for(xpp=ypp*(beta[j]+alpha[j+1]+beta[j+1])%2;xpp<=(ypp*(beta[j]+alpha[j+1]+beta[j+1])+ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
1184                   //for(yppp=xpp; yppp<=1; yppp++) {
1185                   //**for(yppp=(y+yp+xpp)%2; yppp<=1; yppp++) {
1186                   for(yppp=(y+yp+xpp*(1+alpha[j]+beta[j]))%2; yppp<=1; yppp++) {
1187                     //for(xppp=(yppp*(delta[j+3]+delta[j+4])+xpp)%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+xpp)%2; xppp++) {
1188                     //**for(xppp=(yppp*(delta[j+3]+delta[j+4])+(y+yp+xpp))%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+(y+yp+xpp))%2; xppp++) {
1189                     for(xppp=(yppp*(delta[j+3]+delta[j+4])+(y+yp+xpp*(1+alpha[j]+beta[j])))%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+(y+yp+xpp*(1+alpha[j]+beta[j])))%2; xppp++) {
1190                       //summand += (2.0*(0.125*pow(2.0,(pow(y-1,2)*(pow(x,2)*(gamma[i]+delta[i+1])+pow(x-1,2)*(gamma[i+1]+delta[i])))*(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3]))))*(-I)*cexp(M_PI*I/2.0*(y*(delta[i]+delta[i+1])+pow(y+1,2)*(delta[i]+gamma[i+1]+2*beta[i+1])+pow(x,2)+2*(beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y)*x))*Gausssum1d(0,x+beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y+gamma[i+2]+delta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(alpha[i+2]+beta[i+2]))
1191                       summand += 2.0*(2.0*(0.125*pow(2.0,(pow(y-1,2)*(pow(x,2)*(gamma[i]+delta[i+1])+pow(x-1,2)*(gamma[i+1]+delta[i])))*(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3])))*(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*(-I)*cexp(M_PI*I/2.0*(y*(delta[i]+delta[i+1])+pow(y+1,2)*(delta[i]+gamma[i+1]+2*beta[i+1])+pow(x,2)+2*(beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y)*x))*Gausssum1d(0,x+beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y+gamma[i+2]+delta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(alpha[i+2]+beta[i+2]))
1192                                   *(0.125*(-I)*cexp(M_PI*I/2.0*(yp*(delta[i+3]+delta[i+4])+pow(yp+1,2)*(delta[i+3]+gamma[i+4]+2*beta[i+4])+pow(xp,2)+2*(beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp)*xp))*Gausssum1d(0,xp+beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp+gamma[i+5]+delta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(alpha[i+5]+beta[i+5])))
1193                         //*(2.0*(0.125*pow(2.0,(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*Gausssum1d(0.0,beta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(gamma[j+2]+delta[j+2])
1194                         *(2.0*(0.125*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*Gausssum1d(0.0,beta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(gamma[j+2]+delta[j+2])
1195                                //+ 0.125*pow(2.0,(1-ypp*pow(gamma[j]-gamma[j+1],2)-pow(ypp-1,2)*pow(gamma[j]-delta[j+1],2))*(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*csqrt(-I)*Gausssum1d(gamma[j+2]+delta[j+2],0)*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(alpha[j+2]+beta[j+2]))
1196                                + 0.125*cexp(M_PI*I/2.0*((delta[j+1]-gamma[j])*pow(ypp+1,2)+2.0*(beta[j]+beta[j+1]+gamma[j]+delta[j+1])*xpp*pow(ypp+1,2)+2.0*(delta[j]+delta[j+1]+beta[j]+beta[j+1])*xpp*ypp+(2.0*beta[j]+3.0*delta[j]+delta[j+1])*ypp))*csqrt(-I)*Gausssum1d(gamma[j+2]+delta[j+2],0)*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1])*Kroneck(alpha[j+2]+beta[j+2]))
1197                           *(0.125*(-I)*cexp(M_PI*I/2.0*(yppp*(delta[j+3]+delta[j+4])+pow(yppp+1,2)*(delta[j+3]+gamma[j+4]+2*beta[j+4])+pow(xppp,2)+2*(beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp)*xppp))*Gausssum1d(0,xppp+beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp+gamma[j+5]+delta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(alpha[j+5]+beta[j+5])));
1198                     }
1199                   }
1200                 }
1201               }
1202
1203               for(ypp=0; ypp<=(1+alpha[j+2])%2; ypp++) {
1204                 for(xpp=0; xpp<=(1+beta[j+2])%2; xpp++) {
1205                   for(yppp=0; yppp<=1; yppp++) {
1206                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
1207                     for(xppp=yppp*(beta[j+3]+alpha[j+4]+beta[j+4])%2;xppp<=(yppp*(beta[j+3]+alpha[j+4]+beta[j+4])+yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
1208                       summand += (2.0*(0.125*pow(2.0,(pow(y-1,2)*(pow(x,2)*(gamma[i]+delta[i+1])+pow(x-1,2)*(gamma[i+1]+delta[i])))*(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3]))))*(-I)*cexp(M_PI*I/2.0*(y*(delta[i]+delta[i+1])+pow(y+1,2)*(delta[i]+gamma[i+1]+2*beta[i+1])+pow(x,2)+2*(beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y)*x))*Gausssum1d(0,x+beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y+gamma[i+2]+delta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(alpha[i+2]+beta[i+2]))
1209                                   *(0.125*(-I)*cexp(M_PI*I/2.0*(yp*(delta[i+3]+delta[i+4])+pow(yp+1,2)*(delta[i+3]+gamma[i+4]+2*beta[i+4])+pow(xp,2)+2*(beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp)*xp))*Gausssum1d(0,xp+beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp+gamma[i+5]+delta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(alpha[i+5]+beta[i+5])))
1210                         *((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+2]*ypp+pow(xpp+1,2)*(delta[j]+gamma[j+1]+2.0*beta[j+1])+xpp*(delta[j]+delta[j+1])))*Gausssum1d(1,beta[j]+beta[j+1]+delta[j]+(xpp+1)*gamma[j+1]+xpp*delta[j+1])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(gamma[j+2]+delta[j+2]))
1211                           *(0.125*pow(2.0,1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2))*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*Gausssum1d(0.0,beta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(gamma[j+5]+delta[j+5])
1212                             + 0.125*pow(2.0,1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2))*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*csqrt(-I)*Gausssum1d(gamma[j+5]+delta[j+5],0)*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(alpha[j+5]+beta[j+5])));
1213                     }
1214                   }
1215                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
1216                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
1217                       summand += (2.0*(0.125*pow(2.0,(pow(y-1,2)*(pow(x,2)*(gamma[i]+delta[i+1])+pow(x-1,2)*(gamma[i+1]+delta[i])))*(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3]))))*(-I)*cexp(M_PI*I/2.0*(y*(delta[i]+delta[i+1])+pow(y+1,2)*(delta[i]+gamma[i+1]+2*beta[i+1])+pow(x,2)+2*(beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y)*x))*Gausssum1d(0,x+beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y+gamma[i+2]+delta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(alpha[i+2]+beta[i+2]))
1218                                   *(0.125*(-I)*cexp(M_PI*I/2.0*(yp*(delta[i+3]+delta[i+4])+pow(yp+1,2)*(delta[i+3]+gamma[i+4]+2*beta[i+4])+pow(xp,2)+2*(beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp)*xp))*Gausssum1d(0,xp+beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp+gamma[i+5]+delta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(alpha[i+5]+beta[i+5])))
1219                         *((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+2]*ypp+pow(xpp+1,2)*(delta[j]+gamma[j+1]+2.0*beta[j+1])+xpp*(delta[j]+delta[j+1])))*Gausssum1d(1,beta[j]+beta[j+1]+delta[j]+(xpp+1)*gamma[j+1]+xpp*delta[j+1])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(gamma[j+2]+delta[j+2]))
1220                           *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+5]*yppp+pow(xppp+1,2)*(delta[j+3]+gamma[j+4]+2.0*beta[j+4])+xppp*(delta[j+3]+delta[j+4])))*Gausssum1d(1,beta[j+3]+beta[j+4]+delta[j+3]+(xppp+1)*gamma[j+4]+xppp*delta[j+4])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(gamma[j+5]+delta[j+5])));
1221                     }
1222                   }
1223                   for(yppp=0; yppp<=1; yppp++) {
1224                     for(xppp=(yppp*(delta[j+3]+delta[j+4]))%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4]))%2; xppp++) {
1225                       summand += (2.0*(0.125*pow(2.0,(pow(y-1,2)*(pow(x,2)*(gamma[i]+delta[i+1])+pow(x-1,2)*(gamma[i+1]+delta[i])))*(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3]))))*(-I)*cexp(M_PI*I/2.0*(y*(delta[i]+delta[i+1])+pow(y+1,2)*(delta[i]+gamma[i+1]+2*beta[i+1])+pow(x,2)+2*(beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y)*x))*Gausssum1d(0,x+beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y+gamma[i+2]+delta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(alpha[i+2]+beta[i+2]))
1226                                   *(0.125*(-I)*cexp(M_PI*I/2.0*(yp*(delta[i+3]+delta[i+4])+pow(yp+1,2)*(delta[i+3]+gamma[i+4]+2*beta[i+4])+pow(xp,2)+2*(beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp)*xp))*Gausssum1d(0,xp+beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp+gamma[i+5]+delta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(alpha[i+5]+beta[i+5])))
1227                         *((0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+2]*ypp+pow(xpp+1,2)*(delta[j]+gamma[j+1]+2.0*beta[j+1])+xpp*(delta[j]+delta[j+1])))*Gausssum1d(1,beta[j]+beta[j+1]+delta[j]+(xpp+1)*gamma[j+1]+xpp*delta[j+1])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(gamma[j+2]+delta[j+2]))
1228                           *(0.125*(-I)*pow(2.0,(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*cexp(M_PI*I/2.0*(yppp*(delta[j+3]+delta[j+4])+pow(yppp+1,2)*(delta[j+3]+gamma[j+4]+2*beta[j+4])+pow(xppp,2)+2*(beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp)*xppp))*Gausssum1d(0,xppp+beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp+gamma[j+5]+delta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(alpha[j+5]+beta[j+5])));
1229                     }
1230                   }
1231                 }
1232               }
1233
1234               //for(ypp=0; ypp<=1; ypp++) {
1235               for(ypp=(y+yp)%2; ypp<=1; ypp++) {
1236                 //for(xpp=(ypp*(delta[j]+delta[j+1]))%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1]))%2; xpp++) {
1237                 for(xpp=(ypp*(delta[j]+delta[j+1])+y+yp)%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1])+y+yp)%2; xpp++) {
1238                   //for(yppp=((gamma[j+3]+delta[j+4])*ypp)%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*ypp)%2; yppp++) {
1239                   for(yppp=((gamma[j+3]+delta[j+4])*(y+yp+ypp))%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*(y+yp+ypp))%2; yppp++) {
1240                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
1241                     for(xppp=yppp*(beta[j+3]+alpha[j+4]+beta[j+4])%2;xppp<=(yppp*(beta[j+3]+alpha[j+4]+beta[j+4])+yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
1242                       //summand += (2.0*(0.125*pow(2.0,(pow(y-1,2)*(pow(x,2)*(gamma[i]+delta[i+1])+pow(x-1,2)*(gamma[i+1]+delta[i])))*(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3]))))*(-I)*cexp(M_PI*I/2.0*(y*(delta[i]+delta[i+1])+pow(y+1,2)*(delta[i]+gamma[i+1]+2*beta[i+1])+pow(x,2)+2*(beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y)*x))*Gausssum1d(0,x+beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y+gamma[i+2]+delta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(alpha[i+2]+beta[i+2]))
1243                       summand += 2.0*(2.0*(0.125*pow(2.0,(pow(y-1,2)*(pow(x,2)*(gamma[i]+delta[i+1])+pow(x-1,2)*(gamma[i+1]+delta[i])))*(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3])))*(pow(ypp-1,2)*(pow(xpp,2)*(gamma[j]+delta[j+1])+pow(xpp-1,2)*(gamma[j+1]+delta[j])))*(1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2)))*(-I)*cexp(M_PI*I/2.0*(y*(delta[i]+delta[i+1])+pow(y+1,2)*(delta[i]+gamma[i+1]+2*beta[i+1])+pow(x,2)+2*(beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y)*x))*Gausssum1d(0,x+beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y+gamma[i+2]+delta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(alpha[i+2]+beta[i+2]))
1244                                   *(0.125*(-I)*cexp(M_PI*I/2.0*(yp*(delta[i+3]+delta[i+4])+pow(yp+1,2)*(delta[i+3]+gamma[i+4]+2*beta[i+4])+pow(xp,2)+2*(beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp)*xp))*Gausssum1d(0,xp+beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp+gamma[i+5]+delta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(alpha[i+5]+beta[i+5])))
1245                         //*(2.0*(0.125*pow(2.0,(pow(ypp-1,2)*(pow(xpp,2)*(gamma[j]+delta[j+1])+pow(xpp-1,2)*(gamma[j+1]+delta[j])))*(1-yppp*pow(gamma[j+3]-gamma[j+4],2)-pow(yppp-1,2)*pow(gamma[j+3]-delta[j+4],2)))*(-I)*cexp(M_PI*I/2.0*(ypp*(delta[j]+delta[j+1])+pow(ypp+1,2)*(delta[j]+gamma[j+1]+2*beta[j+1])+pow(xpp,2)+2*(beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp)*xpp))*Gausssum1d(0,xpp+beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp+gamma[j+2]+delta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(alpha[j+2]+beta[j+2]))
1246                         *(2.0*(0.125*(-I)*cexp(M_PI*I/2.0*(ypp*(delta[j]+delta[j+1])+pow(ypp+1,2)*(delta[j]+gamma[j+1]+2*beta[j+1])+pow(xpp,2)+2*(beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp)*xpp))*Gausssum1d(0,xpp+beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp+gamma[j+2]+delta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(alpha[j+2]+beta[j+2]))
1247                           *(0.125*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*Gausssum1d(0.0,beta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(gamma[j+5]+delta[j+5])
1248                             + 0.125*cexp(M_PI*I/2.0*((delta[j+4]-gamma[j+3])*pow(yppp+1,2)+2.0*(beta[j+3]+beta[j+4]+gamma[j+3]+delta[j+4])*xppp*pow(yppp+1,2)+2.0*(delta[j+3]+delta[j+4]+beta[j+3]+beta[j+4])*xppp*yppp+(2.0*beta[j+3]+3.0*delta[j+3]+delta[j+4])*yppp))*csqrt(-I)*Gausssum1d(gamma[j+5]+delta[j+5],0)*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4])*Kroneck(alpha[j+5]+beta[j+5])));
1249                     }
1250                   }
1251                 }
1252               }
1253               for(ypp=0; ypp<=1; ypp++) {
1254                 for(xpp=(ypp*(delta[j]+delta[j+1]))%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1]))%2; xpp++) {
1255                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
1256                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
1257                       summand += (2.0*(0.125*pow(2.0,(pow(y-1,2)*(pow(x,2)*(gamma[i]+delta[i+1])+pow(x-1,2)*(gamma[i+1]+delta[i])))*(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3]))))*(-I)*cexp(M_PI*I/2.0*(y*(delta[i]+delta[i+1])+pow(y+1,2)*(delta[i]+gamma[i+1]+2*beta[i+1])+pow(x,2)+2*(beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y)*x))*Gausssum1d(0,x+beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y+gamma[i+2]+delta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(alpha[i+2]+beta[i+2]))
1258                                   *(0.125*(-I)*cexp(M_PI*I/2.0*(yp*(delta[i+3]+delta[i+4])+pow(yp+1,2)*(delta[i+3]+gamma[i+4]+2*beta[i+4])+pow(xp,2)+2*(beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp)*xp))*Gausssum1d(0,xp+beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp+gamma[i+5]+delta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(alpha[i+5]+beta[i+5])))
1259                         *((0.125*pow(2.0,pow(ypp-1,2)*(pow(xpp,2)*(gamma[j]+delta[j+1])+pow(xpp-1,2)*(gamma[j+1]+delta[j])))*(-I)*cexp(M_PI*I/2.0*(ypp*(delta[j]+delta[j+1])+pow(ypp+1,2)*(delta[j]+gamma[j+1]+2*beta[j+1])+pow(xpp,2)+2*(beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp)*xpp))*Gausssum1d(0,xpp+beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp+gamma[j+2]+delta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(alpha[j+2]+beta[j+2]))
1260                           *(0.125*2.0*csqrt(-I)*cexp(M_PI*I/2.0*(2.0*beta[j+5]*yppp+pow(xppp+1,2)*(delta[j+3]+gamma[j+4]+2.0*beta[j+4])+xppp*(delta[j+3]+delta[j+4])))*Gausssum1d(1,beta[j+3]+beta[j+4]+delta[j+3]+(xppp+1)*gamma[j+4]+xppp*delta[j+4])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(gamma[j+5]+delta[j+5])));
1261                     }
1262                   }
1263                 }
1264               }
1265               //for(ypp=0; ypp<=1; ypp++) {
1266               for(ypp=(y+yp)%2; ypp<=1; ypp++) {
1267                 //for(xpp=(ypp*(delta[j]+delta[j+1]))%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1]))%2; xpp++) {
1268                 for(xpp=(ypp*(delta[j]+delta[j+1])+y+yp)%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1])+y+yp)%2; xpp++) {
1269                   //for(yppp=ypp; yppp<=1; yppp++) {
1270                   for(yppp=(y+yp+ypp)%2; yppp<=1; yppp++) {
1271                     //for(xppp=(yppp*(delta[j+3]+delta[j+4])+ypp)%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+ypp)%2; xppp++) {
1272                     for(xppp=(yppp*(delta[j+3]+delta[j+4])+y+yp+ypp)%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+y+yp+ypp)%2; xppp++) {
1273                       //summand += (2.0*(0.125*pow(2.0,(pow(y-1,2)*(pow(x,2)*(gamma[i]+delta[i+1])+pow(x-1,2)*(gamma[i+1]+delta[i])))*(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3]))))*(-I)*cexp(M_PI*I/2.0*(y*(delta[i]+delta[i+1])+pow(y+1,2)*(delta[i]+gamma[i+1]+2*beta[i+1])+pow(x,2)+2*(beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y)*x))*Gausssum1d(0,x+beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y+gamma[i+2]+delta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(alpha[i+2]+beta[i+2]))
1274                       summand += 2.0*(2.0*(0.125*pow(2.0,(pow(y-1,2)*(pow(x,2)*(gamma[i]+delta[i+1])+pow(x-1,2)*(gamma[i+1]+delta[i])))*(pow(yp-1,2)*(pow(xp,2)*(gamma[i+3]+delta[i+4])+pow(xp-1,2)*(gamma[i+4]+delta[i+3])))*(pow(ypp-1,2)*(pow(xpp,2)*(gamma[j]+delta[j+1])+pow(xpp-1,2)*(gamma[j+1]+delta[j])))*(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*(-I)*cexp(M_PI*I/2.0*(y*(delta[i]+delta[i+1])+pow(y+1,2)*(delta[i]+gamma[i+1]+2*beta[i+1])+pow(x,2)+2*(beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y)*x))*Gausssum1d(0,x+beta[i]+beta[i+1]+delta[i]+gamma[i+1]*(y+1)+delta[i+1]*y+gamma[i+2]+delta[i+2])*Kroneck(gamma[i]+delta[i]-gamma[i+1]-delta[i+1]+1)*Kroneck(alpha[i+2]+beta[i+2]))
1275                                   *(0.125*(-I)*cexp(M_PI*I/2.0*(yp*(delta[i+3]+delta[i+4])+pow(yp+1,2)*(delta[i+3]+gamma[i+4]+2*beta[i+4])+pow(xp,2)+2*(beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp)*xp))*Gausssum1d(0,xp+beta[i+3]+beta[i+4]+delta[i+3]+gamma[i+4]*(yp+1)+delta[i+4]*yp+gamma[i+5]+delta[i+5])*Kroneck(gamma[i+3]+delta[i+3]-gamma[i+4]-delta[i+4]+1)*Kroneck(alpha[i+5]+beta[i+5])))
1276                         //*(2.0*(0.125*pow(2.0,(pow(ypp-1,2)*(pow(xpp,2)*(gamma[j]+delta[j+1])+pow(xpp-1,2)*(gamma[j+1]+delta[j])))*(pow(yppp-1,2)*(pow(xppp,2)*(gamma[j+3]+delta[j+4])+pow(xppp-1,2)*(gamma[j+4]+delta[j+3]))))*(-I)*cexp(M_PI*I/2.0*(ypp*(delta[j]+delta[j+1])+pow(ypp+1,2)*(delta[j]+gamma[j+1]+2*beta[j+1])+pow(xpp,2)+2*(beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp)*xpp))*Gausssum1d(0,xpp+beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp+gamma[j+2]+delta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(alpha[j+2]+beta[j+2]))
1277                         *(2.0*(0.125*(-I)*cexp(M_PI*I/2.0*(ypp*(delta[j]+delta[j+1])+pow(ypp+1,2)*(delta[j]+gamma[j+1]+2*beta[j+1])+pow(xpp,2)+2*(beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp)*xpp))*Gausssum1d(0,xpp+beta[j]+beta[j+1]+delta[j]+gamma[j+1]*(ypp+1)+delta[j+1]*ypp+gamma[j+2]+delta[j+2])*Kroneck(gamma[j]+delta[j]-gamma[j+1]-delta[j+1]+1)*Kroneck(alpha[j+2]+beta[j+2]))
1278                           *(0.125*(-I)*cexp(M_PI*I/2.0*(yppp*(delta[j+3]+delta[j+4])+pow(yppp+1,2)*(delta[j+3]+gamma[j+4]+2*beta[j+4])+pow(xppp,2)+2*(beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp)*xppp))*Gausssum1d(0,xppp+beta[j+3]+beta[j+4]+delta[j+3]+gamma[j+4]*(yppp+1)+delta[j+4]*yppp+gamma[j+5]+delta[j+5])*Kroneck(gamma[j+3]+delta[j+3]-gamma[j+4]-delta[j+4]+1)*Kroneck(alpha[j+5]+beta[j+5])));
1279                     }
1280                   }
1281                 }
1282               }
1283             }
1284           }
1285         }
1286       }
1287
1288
1289       sum *= summand;
1290     }
1291     //printf("%lf+%lfI\n", creal(sum), cimag(sum));
1292     printf("%lf\n", cabs(creal(sum)));
1293
1294
1295   }
1296
1297   return 0;
1298 }
1299
1300 complex double Kroneck(int arg)
1301 {
1302   arg = (arg+1)%2; // output 1 if argument is 0 mod 2 and 0 otherwise
1303   return ((complex double)arg);
1304 }
1305
1306 complex double Gausssum1d(int quadraticcoeff, int linearcoeff)
1307 {
1308   /*****************************************
1309   /* NOTE! we assume coeffs are either 0 or 1
1310   /* (So you cannot pass off a linear coeff as a quadratic coeff by multiplying it by a factor of 2 (and considering it as mod 4)!)
1311   *****************************************/
1312
1313   quadraticcoeff %= 2;
1314   linearcoeff %= 2;
1315
1316   if(quadraticcoeff == 0)
1317     if(linearcoeff == 0)
1318       return 2.0+0.0*I;
1319     else
1320       return 0.0*I;
1321   else
1322     if(linearcoeff == 0)
1323       return 1.0+1.0*I;
1324     else
1325       return 1.0-1.0*I;
1326
1327 }
1328
1329 int readPaulicoeffs(int *alpha, int *beta, int *gamma, int *delta, int numqubits)
1330 {
1331
1332   int i;
1333
1334   if(scanf("%d %d %d %d", &alpha[0], &beta[0], &gamma[0], &delta[0]) != EOF) {
1335     for(i=1; i<numqubits; i++) {
1336       scanf("%d %d %d %d", &alpha[i], &beta[i], &gamma[i], &delta[i]);
1337     }
1338     return 1;
1339   } else
1340     return 0;
1341
1342 }
1343
1344
1345