 Generate HSF randomly.
           3          12
   1.00000000000000        1.00000000000000        1.00000000000000     
   1.00000000000000        1.00000000000000        1.00000000000000     
   1.00000000000000        1.00000000000000        1.00000000000000     
   1.00000000000000        1.00000000000000        1.00000000000000     
   1.00000000000000        1.00000000000000        1.00000000000000     
   1.00000000000000        1.00000000000000        1.00000000000000     
   1.00000000000000        1.00000000000000        1.00000000000000     
   1.00000000000000        1.00000000000000        1.00000000000000     
   1.00000000000000        1.00000000000000        1.00000000000000     
   1.00000000000000        1.00000000000000        1.00000000000000     
 2D Periodic Rectangular Lattice (Nx=  4, Ny=  4) total sites=   16             
  
                          U :            2.000000
                          t :            1.000000
                         mu :            0.000000
             Time slice (L) :           12
                       dtau :            0.125000
              beta (dtau*L) :            1.500000
     Number of warmup sweep :         1000
Number of measurement sweep :         5000
   Frequency of measurement :           12
                Random seed :       123456
 Frequency of recomputing G :           26
           Type of matrix B : Dense MatB  
============================================================================
 Sign of equal time measurements:
                   Avg sign :   1.000000 +-  0.000000
                Avg up sign :   1.000000 +-  0.000000
                Avg dn sign :   1.000000 +-  0.000000
============================================================================
 Equal time measurements:
          Up spin occupancy :   0.499390 +-  0.000688
        Down spin occupancy :   0.500610 +-  0.000688
             <U*N_up*N_dn>  :   0.377364 +-  0.000335
             Kinetic energy :  -1.345641 +-  0.000871
               Total Energy :  -0.968278 +-  0.000766
                    Density :   1.000000 +-  0.000000
  XX Ferro structure factor :   0.313224 +-  0.000668
  ZZ Ferro structure factor :   0.320040 +-  0.003155
     XX AF structure factor :   1.002604 +-  0.000000
  Root Mean Square of XX AF :   1.005215 +-  0.000000
     ZZ AF structure factor :   0.495284 +-  0.000000
  Root Mean Square of ZZ AF :   0.245306 +-  0.000000
============================================================================
 Equal time Green's function:
            0  0                0.500000 +-  0.000000
            1  0               -0.168205 +-  0.000109
            2  0                0.000000 +-  0.000000
            1  1                0.000000 +-  0.000000
            2  1                0.046490 +-  0.000071
            2  2                0.000000 +-  0.000000
============================================================================
 Density-density correlation fn: (up-up)
            0  0                0.500000 +-  0.000000
            1  0                0.218654 +-  0.000155
            2  0                0.250453 +-  0.000258
            1  1                0.250976 +-  0.000157
            2  1                0.247207 +-  0.000168
            2  2                0.250808 +-  0.000291
============================================================================
 Density-density correlation fn: (up-dn)
            0  0                0.188682 +-  0.000167
            1  0                0.258095 +-  0.000168
            2  0                0.248041 +-  0.000263
            1  1                0.247493 +-  0.000156
            2  1                0.251086 +-  0.000171
            2  2                0.247583 +-  0.000298
============================================================================
 XX Spin correlation function:
            0  0                0.622636 +-  0.000335
            1  0               -0.080564 +-  0.000174
            2  0                0.006868 +-  0.000058
            1  1                0.007042 +-  0.000042
            2  1               -0.009164 +-  0.000034
            2  2                0.007595 +-  0.000089
============================================================================
 ZZ Spin correlation function:
            0  0                0.622636 +-  0.000335
            1  0               -0.078883 +-  0.000645
            2  0                0.004824 +-  0.001041
            1  1                0.006967 +-  0.000625
            2  1               -0.007758 +-  0.000678
            2  2                0.006449 +-  0.001178
============================================================================
============================================================================
 Pair measurement:
                     S-Wave :   0.277769 +-  0.000258
                    SX-Wave :   0.516879 +-  0.000446
                     D-Wave :   0.346592 +-  0.000395
                   SXX-Wave :   0.358571 +-  0.000164
                   DXX-Wave :   0.246994 +-  0.000346
                    PX-Wave :   0.169735 +-  0.000132
                    PY-Wave :   0.169753 +-  0.000211
                   PXY-Wave :   0.217661 +-  0.000161
                   PYX-Wave :   0.217514 +-  0.000205
============================================================================
============================================================================
 Running time:   4.556284     (second)
