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(xpp=0;xpp<=(ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
 381                 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++) {
 382                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
 383                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
 384                       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])
 385                                        + 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]))
 386                                   *(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])))
 387                         *((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])
 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))*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]))
 389                           *(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])));
 390                     }
 391                   }
 392                 }
 393               }
 394               //for(ypp=0; ypp<=1; ypp++) {
 395               for(ypp=((gamma[j]+delta[j+1])*(x+yp))%2;ypp<=(1+(gamma[j]+gamma[j+1])*(x+yp))%2;ypp++) {
 396               //****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++) {
 397                 //**for(xpp=0;xpp<=(ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
 398                 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++) {
 399                   //for(yppp=xpp; yppp<=1; yppp++) {
 400                   //**for(yppp=(x+yp+xpp)%2; yppp<=1; yppp++) {
 401                   for(yppp=(x*(1+alpha[i]+beta[i])+yp+xpp*(1+alpha[j]+beta[j]))%2; yppp<=1; yppp++) {
 402                     //for(xppp=(yppp*(delta[j+3]+delta[j+4])+xpp)%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+xpp)%2; xppp++) {
 403                     //**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++) {
 404                     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++) {
 405                       //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])
 406                       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])
 407                                        //+ 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]))
 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])))*(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]))
 409                                   *(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])))
 410                         //*(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])
 411                         *(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])
 412                                //+ 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]))
 413                                + 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]))
 414                           *(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])));
 415                     }
 416                   }
 417                 }
 418               }
 419
 420               for(ypp=0; ypp<=(1+alpha[j+2])%2; ypp++) {
 421                 for(xpp=0; xpp<=(1+beta[j+2])%2; xpp++) {
 422                   for(yppp=0; yppp<=1; yppp++) {
 423                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 424                     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++) {
 425                       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])
 426                                        + 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]))
 427                                   *(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])))
 428                         *((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]))
 429                           *(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])
 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))*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])));
 431                     }
 432                   }
 433                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
 434                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
 435                       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])
 436                                        + 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]))
 437                                   *(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])))
 438                         *((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]))
 439                           *(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])));
 440                     }
 441                   }
 442                   for(yppp=0; yppp<=1; yppp++) {
 443                     for(xppp=(yppp*(delta[j+3]+delta[j+4]))%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4]))%2; xppp++) {
 444                       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])
 445                                        + 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]))
 446                                   *(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])))
 447                         *((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]))
 448                           *(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])));
 449                     }
 450                   }
 451                 }
 452               }
 453
 454               //for(ypp=0; ypp<=1; ypp++) {
 455               //**for(ypp=(x+yp)%2; ypp<=1; ypp++) {
 456               for(ypp=(x*(1+alpha[i]+beta[i])+yp)%2; ypp<=1; ypp++) {
 457                 //for(xpp=(ypp*(delta[j]+delta[j+1]))%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1]))%2; xpp++) {
 458                 //**for(xpp=(ypp*(delta[j]+delta[j+1])+x+yp)%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1])+x+yp)%2; xpp++) {
 459                 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++) {
 460                   //for(yppp=((gamma[j+3]+delta[j+4])*ypp)%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*ypp)%2; yppp++) {
 461                   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++) {
 462                   //****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++) {
 463                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 464                     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++) {
 465                       //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])
 466                       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])
 467                                        //+ 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]))
 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])))*(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]))
 469                                   *(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])))
 470                         //*(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]))
 471                         *(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]))
 472                           *(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])
 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))*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])));
 474                     }
 475                   }
 476                 }
 477               }
 478               for(ypp=0; ypp<=1; ypp++) {
 479                 for(xpp=(ypp*(delta[j]+delta[j+1]))%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1]))%2; xpp++) {
 480                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
 481                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
 482                       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])
 483                                        + 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]))
 484                                   *(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])))
 485                         *((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]))
 486                           *(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])));
 487                     }
 488                   }
 489                 }
 490               }
 491               //for(ypp=0; ypp<=1; ypp++) {
 492               //**for(ypp=(x+yp)%2; ypp<=1; ypp++) {
 493               for(ypp=(x*(1+alpha[i]+beta[i])+yp)%2; ypp<=1; ypp++) {
 494                 //for(xpp=(ypp*(delta[j]+delta[j+1]))%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1]))%2; xpp++) {
 495                 //**for(xpp=(ypp*(delta[j]+delta[j+1])+x+yp)%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1])+x+yp)%2; xpp++) {
 496                 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++) {
 497                   //for(yppp=ypp; yppp<=1; yppp++) {
 498                   //**for(yppp=(x+yp+ypp)%2; yppp<=1; yppp++) {
 499                   for(yppp=(x*(1+alpha[i]+beta[i])+yp+ypp)%2; yppp<=1; yppp++) {
 500                     //for(xppp=(yppp*(delta[j+3]+delta[j+4])+ypp)%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+ypp)%2; xppp++) {
 501                     //**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++) {
 502                     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++) {
 503                       //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])
 504                       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])
 505                                        //+ 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]))
 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])))*(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]))
 507                                   *(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])))
 508                         //*(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]))
 509                         *(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]))
 510                           *(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])));
 511                     }
 512                   }
 513                 }
 514               }
 515             }
 516           }
 517         }
 518       }
 519
 520
 521       // fourth term
 522       for(y=0; y<=(1+alpha[i+2])%2; y++) {
 523         for(x=0; x<=(1+beta[i+2])%2; x++) {
 524           for(yp=0; yp<=1; yp++) {
 525             //**for(xp=0;xp<=(yp*(gamma[i+3]+gamma[i+4])+(yp+1)*(gamma[i+3]+delta[i+4]))%2; xp++) {
 526             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++) {
 527               for(ypp=0; ypp<=1; ypp++) {
 528                 //**for(xpp=0;xpp<=(ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
 529                 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++) {
 530                   for(yppp=((gamma[j+3]+delta[j+4])*xpp)%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*xpp)%2; yppp++) {
 531                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 532                     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++) {
 533
 534                       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]))
 535                 *(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])
 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))*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])))
 537                         *(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])
 538                               + 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]))
 539                         *(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])
 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))*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])));
 541                     }
 542                   }
 543                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
 544                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
 545                       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]))
 546                 *(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])
 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))*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])))
 548                         *((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])
 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))*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]))
 550                           *(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])));
 551                     }
 552                   }
 553                   //**for(yppp=xpp; yppp<=1; yppp++) {
 554                   for(yppp=xpp*(1+alpha[j]+beta[j])%2; yppp<=1; yppp++) {
 555                     //**for(xppp=(yppp*(delta[j+3]+delta[j+4])+xpp)%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+xpp)%2; xppp++) {
 556                     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++) {
 557                       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]))
 558                 *(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])
 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))*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])))
 560                         *(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])
 561                                       + 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]))
 562                           *(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])));
 563                     }
 564                   }
 565                 }
 566               }
 567
 568               for(ypp=0; ypp<=(1+alpha[j+2])%2; ypp++) {
 569                 for(xpp=0; xpp<=(1+beta[j+2])%2; xpp++) {
 570                   for(yppp=0; yppp<=1; yppp++) {
 571                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 572                     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++) {
 573                       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]))
 574                 *(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])
 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))*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])))
 576                         *((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]))
 577                           *(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])
 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))*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])));
 579                     }
 580                   }
 581                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
 582                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
 583                       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]))
 584                 *(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])
 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))*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])))
 586                         *((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]))
 587                           *(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])));
 588                     }
 589                   }
 590                   for(yppp=0; yppp<=1; yppp++) {
 591                     for(xppp=(yppp*(delta[j+3]+delta[j+4]))%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4]))%2; xppp++) {
 592                       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]))
 593                 *(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])
 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))*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])))
 595                         *((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]))
 596                           *(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])));
 597                     }
 598                   }
 599                 }
 600               }
 601
 602               for(ypp=0; ypp<=1; ypp++) {
 603                 for(xpp=(ypp*(delta[j]+delta[j+1]))%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1]))%2; xpp++) {
 604                   for(yppp=((gamma[j+3]+delta[j+4])*ypp)%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*ypp)%2; yppp++) {
 605                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 606                     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++) {
 607                       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]))
 608                 *(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])
 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))*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])))
 610                         *(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]))
 611                           *(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])
 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))*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])));
 613                     }
 614                   }
 615                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
 616                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
 617                       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]))
 618                 *(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])
 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))*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])))
 620                         *((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]))
 621                           *(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])));
 622                     }
 623                   }
 624                   for(yppp=ypp; yppp<=1; yppp++) {
 625                     for(xppp=(yppp*(delta[j+3]+delta[j+4])+ypp)%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+ypp)%2; xppp++) {
 626                       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]))
 627                 *(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])
 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))*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])))
 629                         *(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]))
 630                           *(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])));
 631                     }
 632                   }
 633                 }
 634               }
 635             }
 636           }
 637         }
 638       }
 639
 640
 641       // fifth term
 642       for(y=0; y<=(1+alpha[i+2])%2; y++) {
 643         for(x=0; x<=(1+beta[i+2])%2; x++) {
 644           for(yp=0; yp<=(1+alpha[i+5])%2; yp++) {
 645             for(xp=0;xp<=(1+beta[i+5])%2; xp++) {
 646               for(ypp=0; ypp<=1; ypp++) {
 647                 //**for(xpp=0;xpp<=(ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
 648                 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++) {
 649                   for(yppp=((gamma[j+3]+delta[j+4])*xpp)%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*xpp)%2; yppp++) {
 650                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 651                     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++) {
 652                       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]))
 653                                   *(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])))
 654                         *(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])
 655                               + 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]))
 656                         *(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])
 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))*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])));
 658                     }
 659                   }
 660                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
 661                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
 662                       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]))
 663                                   *(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])))
 664                         *((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])
 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))*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]))
 666                           *(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])));
 667                     }
 668                   }
 669                   //**for(yppp=xpp; yppp<=1; yppp++) {
 670                   for(yppp=xpp*(1+alpha[j]+beta[j])%2; yppp<=1; yppp++) {
 671                     //**for(xppp=(yppp*(delta[j+3]+delta[j+4])+xpp)%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+xpp)%2; xppp++) {
 672                     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++) {
 673                       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]))
 674                                   *(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])))
 675                         *(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])
 676                                       + 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]))
 677                           *(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])));
 678                     }
 679                   }
 680                 }
 681               }
 682
 683               for(ypp=0; ypp<=(1+alpha[j+2])%2; ypp++) {
 684                 for(xpp=0; xpp<=(1+beta[j+2])%2; xpp++) {
 685                   for(yppp=0; yppp<=1; yppp++) {
 686                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 687                     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++) {
 688                       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]))
 689                                   *(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])))
 690                         *((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]))
 691                           *(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])
 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))*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])));
 693                     }
 694                   }
 695                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
 696                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
 697                       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]))
 698                                   *(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])))
 699                         *((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]))
 700                           *(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])));
 701                     }
 702                   }
 703                   for(yppp=0; yppp<=1; yppp++) {
 704                     for(xppp=(yppp*(delta[j+3]+delta[j+4]))%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4]))%2; xppp++) {
 705                       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]))
 706                                   *(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])))
 707                         *((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]))
 708                           *(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])));
 709                     }
 710                   }
 711                 }
 712               }
 713
 714               for(ypp=0; ypp<=1; ypp++) {
 715                 for(xpp=(ypp*(delta[j]+delta[j+1]))%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1]))%2; xpp++) {
 716                   for(yppp=((gamma[j+3]+delta[j+4])*ypp)%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*ypp)%2; yppp++) {
 717                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 718                     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++) {
 719                       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]))
 720                                   *(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])))
 721                         *(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]))
 722                           *(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])
 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))*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])));
 724                     }
 725                   }
 726                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
 727                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
 728                       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]))
 729                                   *(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])))
 730                         *((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]))
 731                           *(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])));
 732                     }
 733                   }
 734                   for(yppp=ypp; yppp<=1; yppp++) {
 735                     for(xppp=(yppp*(delta[j+3]+delta[j+4])+ypp)%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+ypp)%2; xppp++) {
 736                       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]))
 737                                   *(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])))
 738                         *(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]))
 739                           *(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])));
 740                     }
 741                   }
 742                 }
 743               }
 744             }
 745           }
 746         }
 747       }
 748
 749
 750       // sixth term
 751       for(y=0; y<=(1+alpha[i+2])%2; y++) {
 752         for(x=0; x<=(1+beta[i+2])%2; x++) {
 753           for(yp=0; yp<=1; yp++) {
 754             for(xp=(yp*(delta[i+3]+delta[i+4]))%2;xp<=(1+yp*(gamma[i+3]+gamma[i+4]))%2; xp++) {
 755               for(ypp=0; ypp<=1; ypp++) {
 756                 //**for(xpp=0;xpp<=(ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
 757                 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++) {
 758                   for(yppp=((gamma[j+3]+delta[j+4])*xpp)%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*xpp)%2; yppp++) {
 759                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 760                     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++) {
 761                       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]))
 762                                   *(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])))
 763                         *(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])
 764                               + 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]))
 765                         *(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])
 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))*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])));
 767                     }
 768                   }
 769                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
 770                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
 771                       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]))
 772                                   *(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])))
 773                         *((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])
 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))*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]))
 775                           *(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])));
 776                     }
 777                   }
 778                   //**for(yppp=xpp; yppp<=1; yppp++) {
 779                   for(yppp=xpp*(1+alpha[j]+beta[j])%2; yppp<=1; yppp++) {
 780                     //**for(xppp=(yppp*(delta[j+3]+delta[j+4])+xpp)%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+xpp)%2; xppp++) {
 781                     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++) {
 782                       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]))
 783                                   *(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])))
 784                         *(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])
 785                                       + 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]))
 786                           *(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])));
 787                     }
 788                   }
 789                 }
 790               }
 791
 792               for(ypp=0; ypp<=(1+alpha[j+2])%2; ypp++) {
 793                 for(xpp=0; xpp<=(1+beta[j+2])%2; xpp++) {
 794                   for(yppp=0; yppp<=1; yppp++) {
 795                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 796                     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++) {
 797                       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]))
 798                                   *(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])))
 799                         *((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]))
 800                           *(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])
 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))*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])));
 802                     }
 803                   }
 804                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
 805                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
 806                       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]))
 807                                   *(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])))
 808                         *((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]))
 809                           *(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])));
 810                     }
 811                   }
 812                   for(yppp=0; yppp<=1; yppp++) {
 813                     for(xppp=(yppp*(delta[j+3]+delta[j+4]))%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4]))%2; xppp++) {
 814                       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]))
 815                                   *(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])))
 816                         *((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]))
 817                           *(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])));
 818                     }
 819                   }
 820                 }
 821               }
 822
 823               for(ypp=0; ypp<=1; ypp++) {
 824                 for(xpp=(ypp*(delta[j]+delta[j+1]))%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1]))%2; xpp++) {
 825                   for(yppp=((gamma[j+3]+delta[j+4])*ypp)%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*ypp)%2; yppp++) {
 826                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 827                     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++) {
 828                       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]))
 829                                   *(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])))
 830                         *(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]))
 831                           *(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])
 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))*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])));
 833                     }
 834                   }
 835                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
 836                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
 837                       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]))
 838                                   *(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])))
 839                         *((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]))
 840                           *(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])));
 841                     }
 842                   }
 843                   for(yppp=ypp; yppp<=1; yppp++) {
 844                     for(xppp=(yppp*(delta[j+3]+delta[j+4])+ypp)%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+ypp)%2; xppp++) {
 845                       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]))
 846                                   *(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])))
 847                         *(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]))
 848                           *(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])));
 849                     }
 850                   }
 851                 }
 852               }
 853             }
 854           }
 855         }
 856       }
 857
 858
 859       // seventh term
 860       for(y=0; y<=1; y++) {
 861         for(x=(y*(delta[i]+delta[i+1]))%2; x<=(1+y*(gamma[i]+gamma[i+1]))%2; x++) {
 862           for(yp=((gamma[i+3]+delta[i+4])*y)%2; yp<=(1+(gamma[i+3]+gamma[i+4])*y)%2; yp++) {
 863             //**for(xp=0;xp<=(yp*(gamma[i+3]+gamma[i+4])+(yp+1)*(gamma[i+3]+delta[i+4]))%2; xp++) {
 864             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++) {
 865
 866               //for(ypp=0; ypp<=1; ypp++) {
 867               for(ypp=((gamma[j]+delta[j+1])*(y+xp))%2;ypp<=(1+(gamma[j]+gamma[j+1])*(y+xp))%2;ypp++) {
 868                 //****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++) {
 869                 //**for(xpp=0;xpp<=(ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
 870                 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++) {
 871                   //for(yppp=((gamma[j+3]+delta[j+4])*xpp)%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*xpp)%2; yppp++) {
 872                   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++) {
 873                   //****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++) {
 874                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 875                     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++) {
 876                       //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]))
 877                       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]))
 878                 *(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])
 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))*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])))
 880                         //*(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])
 881                         *(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])
 882                                //+ 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]))
 883                               + 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]))
 884                         *(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])
 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))*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])));
 886                     }
 887                   }
 888                 }
 889               }
 890               for(ypp=0; ypp<=1; ypp++) {
 891                 //**for(xpp=0;xpp<=(ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
 892                 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++) {
 893                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
 894                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
 895                       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]))
 896                 *(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])
 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))*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])))
 898                         *((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])
 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))*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]))
 900                           *(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])));
 901                     }
 902                   }
 903                 }
 904               }
 905
 906               //for(ypp=0; ypp<=1; ypp++) {
 907               for(ypp=((gamma[j]+delta[j+1])*(y+xp))%2;ypp<=(1+(gamma[j]+gamma[j+1])*(y+xp))%2;ypp++) {
 908               //****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++) {
 909                 //**for(xpp=0;xpp<=(ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
 910                 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++) {
 911                   //for(yppp=xpp; yppp<=1; yppp++) {
 912                   //**for(yppp=(y+xp+xpp)%2; yppp<=1; yppp++) {
 913                   for(yppp=(y+xp*(1+alpha[i+3]+beta[i+3])+xpp*(1+alpha[j]+beta[j]))%2; yppp<=1; yppp++) {
 914                     //for(xppp=(yppp*(delta[j+3]+delta[j+4])+xpp)%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+xpp)%2; xppp++) {
 915                     //**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++) {
 916                     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++) {
 917                       //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]))
 918                       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]))
 919                 *(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])
 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))*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])))
 921                         //*(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])
 922                         *(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])
 923                                //+ 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]))
 924                                + 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]))
 925                           *(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])));
 926                     }
 927                   }
 928                 }
 929               }
 930
 931               for(ypp=0; ypp<=(1+alpha[j+2])%2; ypp++) {
 932                 for(xpp=0; xpp<=(1+beta[j+2])%2; xpp++) {
 933                   for(yppp=0; yppp<=1; yppp++) {
 934                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 935                     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++) {
 936                       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]))
 937                 *(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])
 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))*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])))
 939                         *((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]))
 940                           *(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])
 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))*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])));
 942                     }
 943                   }
 944                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
 945                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
 946                       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]))
 947                 *(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])
 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))*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])))
 949                         *((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]))
 950                           *(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])));
 951                     }
 952                   }
 953                   for(yppp=0; yppp<=1; yppp++) {
 954                     for(xppp=(yppp*(delta[j+3]+delta[j+4]))%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4]))%2; xppp++) {
 955                       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]))
 956                 *(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])
 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))*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])))
 958                         *((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]))
 959                           *(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])));
 960                     }
 961                   }
 962                 }
 963               }
 964
 965               //for(ypp=0; ypp<=1; ypp++) {
 966               //**for(ypp=(y+xp)%2; ypp<=1; ypp++) {
 967               for(ypp=(y+xp*(1+alpha[i+3]+beta[i+3]))%2; ypp<=1; ypp++) {
 968                 //for(xpp=(ypp*(delta[j]+delta[j+1]))%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1]))%2; xpp++) {
 969                 //**for(xpp=(ypp*(delta[j]+delta[j+1])+y+xp)%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1])+y+xp)%2; xpp++) {
 970                 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++) {
 971                   //for(yppp=((gamma[j+3]+delta[j+4])*ypp)%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*ypp)%2; yppp++) {
 972                   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++) {
 973                     //****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++) {
 974                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
 975                     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++) {
 976                       //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]))
 977                       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]))
 978                 *(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])
 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))*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])))
 980                         //*(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]))
 981                         *(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]))
 982                           *(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])
 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))*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])));
 984                     }
 985                   }
 986                 }
 987               }
 988               for(ypp=0; ypp<=1; ypp++) {
 989                 for(xpp=(ypp*(delta[j]+delta[j+1]))%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1]))%2; xpp++) {
 990                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
 991                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
 992                       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]))
 993                 *(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])
 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))*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])))
 995                         *((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]))
 996                           *(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])));
 997                     }
 998                   }
 999                 }
1000               }
1001               //for(ypp=0; ypp<=1; ypp++) {
1002               //**for(ypp=(y+xp)%2; ypp<=1; ypp++) {
1003               for(ypp=(y+xp*(1+alpha[i+3]+beta[i+3]))%2; ypp<=1; ypp++) {
1004                 //for(xpp=(ypp*(delta[j]+delta[j+1]))%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1]))%2; xpp++) {
1005                 //**for(xpp=(ypp*(delta[j]+delta[j+1])+y+xp)%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1])+y+xp)%2; xpp++) {
1006                 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++) {
1007                   //for(yppp=ypp; yppp<=1; yppp++) {
1008                   //**for(yppp=(y+xp+ypp)%2; yppp<=1; yppp++) {
1009                   for(yppp=(y+xp*(1+alpha[i+3]+beta[i+3])+ypp)%2; yppp<=1; yppp++) {
1010                     //for(xppp=(yppp*(delta[j+3]+delta[j+4])+ypp)%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+ypp)%2; xppp++) {
1011                     //**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++) {
1012                     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++) {
1013                       //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]))
1014                       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]))
1015                 *(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])
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))*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])))
1017                         //*(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]))
1018                         *(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]))
1019                           *(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])));
1020                     }
1021                   }
1022                 }
1023               }
1024             }
1025           }
1026         }
1027       }
1028
1029
1030       // eighth term
1031       for(y=0; y<=1; y++) {
1032         for(x=(y*(delta[i]+delta[i+1]))%2; x<=(1+y*(gamma[i]+gamma[i+1]))%2; x++) {
1033           for(yp=0; yp<=(1+alpha[i+5])%2; yp++) {
1034             for(xp=0;xp<=(1+beta[i+5])%2; xp++) {
1035               for(ypp=0; ypp<=1; ypp++) {
1036                 //**for(xpp=0;xpp<=(ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
1037                 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++) {
1038                   for(yppp=((gamma[j+3]+delta[j+4])*xpp)%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*xpp)%2; yppp++) {
1039                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
1040                     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++) {
1041                       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]))
1042                                   *(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])))
1043                         *(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])
1044                               + 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]))
1045                         *(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])
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))*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])));
1047                     }
1048                   }
1049                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
1050                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
1051                       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]))
1052                                   *(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])))
1053                         *((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])
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))*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]))
1055                           *(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])));
1056                     }
1057                   }
1058                   //**for(yppp=xpp; yppp<=1; yppp++) {
1059                   for(yppp=xpp*(1+alpha[j]+beta[j])%2; yppp<=1; yppp++) {
1060                     //**for(xppp=(yppp*(delta[j+3]+delta[j+4])+xpp)%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+xpp)%2; xppp++) {
1061                     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++) {
1062                       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]))
1063                                   *(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])))
1064                         *(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])
1065                                       + 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]))
1066                           *(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])));
1067                     }
1068                   }
1069                 }
1070               }
1071
1072               for(ypp=0; ypp<=(1+alpha[j+2])%2; ypp++) {
1073                 for(xpp=0; xpp<=(1+beta[j+2])%2; xpp++) {
1074                   for(yppp=0; yppp<=1; yppp++) {
1075                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
1076                     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++) {
1077                       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]))
1078                                   *(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])))
1079                         *((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]))
1080                           *(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])
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))*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])));
1082                     }
1083                   }
1084                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
1085                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
1086                       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]))
1087                                   *(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])))
1088                         *((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]))
1089                           *(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])));
1090                     }
1091                   }
1092                   for(yppp=0; yppp<=1; yppp++) {
1093                     for(xppp=(yppp*(delta[j+3]+delta[j+4]))%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4]))%2; xppp++) {
1094                       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]))
1095                                   *(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])))
1096                         *((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]))
1097                           *(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])));
1098                     }
1099                   }
1100                 }
1101               }
1102
1103               for(ypp=0; ypp<=1; ypp++) {
1104                 for(xpp=(ypp*(delta[j]+delta[j+1]))%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1]))%2; xpp++) {
1105                   for(yppp=((gamma[j+3]+delta[j+4])*ypp)%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*ypp)%2; yppp++) {
1106                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
1107                     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++) {
1108                       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]))
1109                                   *(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])))
1110                         *(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]))
1111                           *(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])
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))*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])));
1113                     }
1114                   }
1115                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
1116                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
1117                       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]))
1118                                   *(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])))
1119                         *((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]))
1120                           *(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])));
1121                     }
1122                   }
1123                   for(yppp=ypp; yppp<=1; yppp++) {
1124                     for(xppp=(yppp*(delta[j+3]+delta[j+4])+ypp)%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+ypp)%2; xppp++) {
1125                       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]))
1126                                   *(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])))
1127                         *(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]))
1128                           *(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])));
1129                     }
1130                   }
1131                 }
1132               }
1133             }
1134           }
1135         }
1136       }
1137
1138
1139       // ninth term
1140       for(y=0; y<=1; y++) {
1141         for(x=(y*(delta[i]+delta[i+1]))%2; x<=(1+y*(gamma[i]+gamma[i+1]))%2; x++) {
1142           for(yp=y; yp<=1; yp++) {
1143             for(xp=(yp*(delta[i+3]+delta[i+4])+y)%2;xp<=(1+yp*(gamma[i+3]+gamma[i+4])+y)%2; xp++) {
1144               //for(ypp=0; ypp<=1; ypp++) {
1145               for(ypp=((gamma[j]+delta[j+1])*(y+yp))%2;ypp<=(1+(gamma[j]+gamma[j+1])*(y+yp))%2;ypp++) {
1146                 //**for(xpp=0;xpp<=(ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
1147                 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++) {
1148                   //for(yppp=((gamma[j+3]+delta[j+4])*xpp)%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*xpp)%2; yppp++) {
1149                   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++) {
1150                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
1151                     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++) {
1152                       //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]))
1153                       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]))
1154                                   *(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])))
1155                         //*(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])
1156                         *(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])
1157                                //+ 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]))
1158                                + 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]))
1159                         *(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])
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))*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])));
1161                     }
1162                   }
1163                 }
1164               }
1165               for(ypp=0; ypp<=1; ypp++) {
1166                 //**for(xpp=0;xpp<=(ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
1167                 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++) {
1168                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
1169                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
1170                       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]))
1171                                   *(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])))
1172                         *((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])
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))*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]))
1174                           *(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])));
1175                     }
1176                   }
1177                 }
1178               }
1179               //for(ypp=0; ypp<=1; ypp++) {
1180               for(ypp=((gamma[j]+delta[j+1])*(y+yp))%2;ypp<=(1+(gamma[j]+gamma[j+1])*(y+yp))%2;ypp++) {
1181                 //**for(xpp=0;xpp<=(ypp*(gamma[j]+gamma[j+1])+(ypp+1)*(gamma[j]+delta[j+1]))%2; xpp++) {
1182                 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++) {
1183                   //for(yppp=xpp; yppp<=1; yppp++) {
1184                   //**for(yppp=(y+yp+xpp)%2; yppp<=1; yppp++) {
1185                   for(yppp=(y+yp+xpp*(1+alpha[j]+beta[j]))%2; yppp<=1; yppp++) {
1186                     //for(xppp=(yppp*(delta[j+3]+delta[j+4])+xpp)%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+xpp)%2; xppp++) {
1187                     //**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++) {
1188                     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++) {
1189                       //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]))
1190                       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]))
1191                                   *(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])))
1192                         //*(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])
1193                         *(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])
1194                                //+ 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]))
1195                                + 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]))
1196                           *(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])));
1197                     }
1198                   }
1199                 }
1200               }
1201
1202               for(ypp=0; ypp<=(1+alpha[j+2])%2; ypp++) {
1203                 for(xpp=0; xpp<=(1+beta[j+2])%2; xpp++) {
1204                   for(yppp=0; yppp<=1; yppp++) {
1205                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
1206                     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++) {
1207                       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]))
1208                                   *(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])))
1209                         *((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]))
1210                           *(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])
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))*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])));
1212                     }
1213                   }
1214                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
1215                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
1216                       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]))
1217                                   *(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])))
1218                         *((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]))
1219                           *(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])));
1220                     }
1221                   }
1222                   for(yppp=0; yppp<=1; yppp++) {
1223                     for(xppp=(yppp*(delta[j+3]+delta[j+4]))%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4]))%2; xppp++) {
1224                       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]))
1225                                   *(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])))
1226                         *((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]))
1227                           *(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])));
1228                     }
1229                   }
1230                 }
1231               }
1232
1233               //for(ypp=0; ypp<=1; ypp++) {
1234               for(ypp=(y+yp)%2; ypp<=1; ypp++) {
1235                 //for(xpp=(ypp*(delta[j]+delta[j+1]))%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1]))%2; xpp++) {
1236                 for(xpp=(ypp*(delta[j]+delta[j+1])+y+yp)%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1])+y+yp)%2; xpp++) {
1237                   //for(yppp=((gamma[j+3]+delta[j+4])*ypp)%2; yppp<=(1+(gamma[j+3]+gamma[j+4])*ypp)%2; yppp++) {
1238                   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++) {
1239                     //**for(xppp=0;xppp<=(yppp*(gamma[j+3]+gamma[j+4])+(yppp+1)*(gamma[j+3]+delta[j+4]))%2; xppp++) {
1240                     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++) {
1241                       //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]))
1242                       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]))
1243                                   *(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])))
1244                         //*(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]))
1245                         *(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]))
1246                           *(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])
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))*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])));
1248                     }
1249                   }
1250                 }
1251               }
1252               for(ypp=0; ypp<=1; ypp++) {
1253                 for(xpp=(ypp*(delta[j]+delta[j+1]))%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1]))%2; xpp++) {
1254                   for(yppp=0; yppp<=(1+alpha[j+5])%2; yppp++) {
1255                     for(xppp=0;xppp<=(1+beta[j+5])%2; xppp++) {
1256                       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]))
1257                                   *(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])))
1258                         *((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]))
1259                           *(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])));
1260                     }
1261                   }
1262                 }
1263               }
1264               //for(ypp=0; ypp<=1; ypp++) {
1265               for(ypp=(y+yp)%2; ypp<=1; ypp++) {
1266                 //for(xpp=(ypp*(delta[j]+delta[j+1]))%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1]))%2; xpp++) {
1267                 for(xpp=(ypp*(delta[j]+delta[j+1])+y+yp)%2; xpp<=(1+ypp*(gamma[j]+gamma[j+1])+y+yp)%2; xpp++) {
1268                   //for(yppp=ypp; yppp<=1; yppp++) {
1269                   for(yppp=(y+yp+ypp)%2; yppp<=1; yppp++) {
1270                     //for(xppp=(yppp*(delta[j+3]+delta[j+4])+ypp)%2;xppp<=(1+yppp*(gamma[j+3]+gamma[j+4])+ypp)%2; xppp++) {
1271                     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++) {
1272                       //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]))
1273                       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]))
1274                                   *(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])))
1275                         //*(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]))
1276                         *(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]))
1277                           *(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])));
1278                     }
1279                   }
1280                 }
1281               }
1282             }
1283           }
1284         }
1285       }
1286
1287
1288       sum *= summand;
1289     }
1290     //printf("%lf+%lfI\n", creal(sum), cimag(sum));
1291     printf("%lf\n", cabs(creal(sum)));
1292
1293
1294   }
1295
1296   return 0;
1297 }
1298
1299 complex double Kroneck(int arg)
1300 {
1301   arg = (arg+1)%2; // output 1 if argument is 0 mod 2 and 0 otherwise
1302   return ((complex double)arg);
1303 }
1304
1305 complex double Gausssum1d(int quadraticcoeff, int linearcoeff)
1306 {
1307   /*****************************************
1308   /* NOTE! we assume coeffs are either 0 or 1
1309   /* (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)!)
1310   *****************************************/
1311
1312   quadraticcoeff %= 2;
1313   linearcoeff %= 2;
1314
1315   if(quadraticcoeff == 0)
1316     if(linearcoeff == 0)
1317       return 2.0+0.0*I;
1318     else
1319       return 0.0*I;
1320   else
1321     if(linearcoeff == 0)
1322       return 1.0+1.0*I;
1323     else
1324       return 1.0-1.0*I;
1325
1326 }
1327
1328 int readPaulicoeffs(int *alpha, int *beta, int *gamma, int *delta, int numqubits)
1329 {
1330
1331   int i;
1332
1333   if(scanf("%d %d %d %d", &alpha[0], &beta[0], &gamma[0], &delta[0]) != EOF) {
1334     for(i=1; i<numqubits; i++) {
1335       scanf("%d %d %d %d", &alpha[i], &beta[i], &gamma[i], &delta[i]);
1336     }
1337     return 1;
1338   } else
1339     return 0;
1340
1341 }
1342
1343
1344