exactmat test program:

  exact_init: 
    parameters (lat.dat,lat.par):
      lattice dimension:         4
      # lattice sites:          16
      nla:     2     2     2     2
      mlink,np:          64          96
    parameters (mc.par):
      nequi:              16384
      nrpt,nmeas,nsw:        64      4096         4
      xm,xm2,xmfactor =         0.100000    0.010000    4.005000
      a2=sqrt(2*xmfactor) =  2.830194
      iuo,iud1:   6  11
    Data filename: Exct4d002x002t.D
    First momentum FT arrays xkr, xki:
     1    1.00000        0.00000    
     2   -1.00000       0.122465E-15
  scalar_init: initialization done.

nla:   2   2   2   2
dkx:   3.14159       3.14159       3.14159       3.14159    
is,ix:    1     0   0   0   0
is,ix:    2     1   0   0   0
is,ix:    3     0   1   0   0
is,ix:    4     1   1   0   0
is,ix:    5     0   0   1   0
is,ix:    6     1   0   1   0
is,ix:    7     0   1   1   0
is,ix:    8     1   1   1   0
is,ix:    9     0   0   0   1
is,ix:   10     1   0   0   1
is,ix:   11     0   1   0   1
is,ix:   12     1   1   0   1
is,ix:   13     0   0   1   1
is,ix:   14     1   0   1   1
is,ix:   15     0   1   1   1
is,ix:   16     1   1   1   1

Knm matrix Rothe p.30:

  8.01000 -2.00000 -2.00000  0.00000 -2.00000  0.00000  0.00000  0.00000
 -2.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000
 -2.00000  8.01000  0.00000 -2.00000  0.00000 -2.00000  0.00000  0.00000
  0.00000 -2.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000
 -2.00000  0.00000  8.01000 -2.00000  0.00000  0.00000 -2.00000  0.00000
  0.00000  0.00000 -2.00000  0.00000  0.00000  0.00000  0.00000  0.00000
  0.00000 -2.00000 -2.00000  8.01000  0.00000  0.00000  0.00000 -2.00000
  0.00000  0.00000  0.00000 -2.00000  0.00000  0.00000  0.00000  0.00000
 -2.00000  0.00000  0.00000  0.00000  8.01000 -2.00000 -2.00000  0.00000
  0.00000  0.00000  0.00000  0.00000 -2.00000  0.00000  0.00000  0.00000
  0.00000 -2.00000  0.00000  0.00000 -2.00000  8.01000  0.00000 -2.00000
  0.00000  0.00000  0.00000  0.00000  0.00000 -2.00000  0.00000  0.00000
  0.00000  0.00000 -2.00000  0.00000 -2.00000  0.00000  8.01000 -2.00000
  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000 -2.00000  0.00000
  0.00000  0.00000  0.00000 -2.00000  0.00000 -2.00000 -2.00000  8.01000
  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000 -2.00000
 -2.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000
  8.01000 -2.00000 -2.00000  0.00000 -2.00000  0.00000  0.00000  0.00000
  0.00000 -2.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000
 -2.00000  8.01000  0.00000 -2.00000  0.00000 -2.00000  0.00000  0.00000
  0.00000  0.00000 -2.00000  0.00000  0.00000  0.00000  0.00000  0.00000
 -2.00000  0.00000  8.01000 -2.00000  0.00000  0.00000 -2.00000  0.00000
  0.00000  0.00000  0.00000 -2.00000  0.00000  0.00000  0.00000  0.00000
  0.00000 -2.00000 -2.00000  8.01000  0.00000  0.00000  0.00000 -2.00000
  0.00000  0.00000  0.00000  0.00000 -2.00000  0.00000  0.00000  0.00000
 -2.00000  0.00000  0.00000  0.00000  8.01000 -2.00000 -2.00000  0.00000
  0.00000  0.00000  0.00000  0.00000  0.00000 -2.00000  0.00000  0.00000
  0.00000 -2.00000  0.00000  0.00000 -2.00000  8.01000  0.00000 -2.00000
  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000 -2.00000  0.00000
  0.00000  0.00000 -2.00000  0.00000 -2.00000  0.00000  8.01000 -2.00000
  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000 -2.00000
  0.00000  0.00000  0.00000 -2.00000  0.00000 -2.00000 -2.00000  8.01000

Inverse Knm matrix:

  6.38388  6.26686  6.26686  6.23830  6.26686  6.23830  6.23830  6.22533
  6.26686  6.23830  6.23830  6.22533  6.23830  6.22533  6.22533  6.21756
  6.26686  6.38388  6.23830  6.26686  6.23830  6.26686  6.22533  6.23830
  6.23830  6.26686  6.22533  6.23830  6.22533  6.23830  6.21756  6.22533
  6.26686  6.23830  6.38388  6.26686  6.23830  6.22533  6.26686  6.23830
  6.23830  6.22533  6.26686  6.23830  6.22533  6.21756  6.23830  6.22533
  6.23830  6.26686  6.26686  6.38388  6.22533  6.23830  6.23830  6.26686
  6.22533  6.23830  6.23830  6.26686  6.21756  6.22533  6.22533  6.23830
  6.26686  6.23830  6.23830  6.22533  6.38388  6.26686  6.26686  6.23830
  6.23830  6.22533  6.22533  6.21756  6.26686  6.23830  6.23830  6.22533
  6.23830  6.26686  6.22533  6.23830  6.26686  6.38388  6.23830  6.26686
  6.22533  6.23830  6.21756  6.22533  6.23830  6.26686  6.22533  6.23830
  6.23830  6.22533  6.26686  6.23830  6.26686  6.23830  6.38388  6.26686
  6.22533  6.21756  6.23830  6.22533  6.23830  6.22533  6.26686  6.23830
  6.22533  6.23830  6.23830  6.26686  6.23830  6.26686  6.26686  6.38388
  6.21756  6.22533  6.22533  6.23830  6.22533  6.23830  6.23830  6.26686
  6.26686  6.23830  6.23830  6.22533  6.23830  6.22533  6.22533  6.21756
  6.38388  6.26686  6.26686  6.23830  6.26686  6.23830  6.23830  6.22533
  6.23830  6.26686  6.22533  6.23830  6.22533  6.23830  6.21756  6.22533
  6.26686  6.38388  6.23830  6.26686  6.23830  6.26686  6.22533  6.23830
  6.23830  6.22533  6.26686  6.23830  6.22533  6.21756  6.23830  6.22533
  6.26686  6.23830  6.38388  6.26686  6.23830  6.22533  6.26686  6.23830
  6.22533  6.23830  6.23830  6.26686  6.21756  6.22533  6.22533  6.23830
  6.23830  6.26686  6.26686  6.38388  6.22533  6.23830  6.23830  6.26686
  6.23830  6.22533  6.22533  6.21756  6.26686  6.23830  6.23830  6.22533
  6.26686  6.23830  6.23830  6.22533  6.38388  6.26686  6.26686  6.23830
  6.22533  6.23830  6.21756  6.22533  6.23830  6.26686  6.22533  6.23830
  6.23830  6.26686  6.22533  6.23830  6.26686  6.38388  6.23830  6.26686
  6.22533  6.21756  6.23830  6.22533  6.23830  6.22533  6.26686  6.23830
  6.23830  6.22533  6.26686  6.23830  6.26686  6.23830  6.38388  6.26686
  6.21756  6.22533  6.22533  6.23830  6.22533  6.23830  6.23830  6.26686
  6.22533  6.23830  6.23830  6.26686  6.23830  6.26686  6.26686  6.38388

Test: I=Knm*Knm^{-1} matrix:

  1.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000
  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000
  0.00000  1.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000
  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000
  0.00000  0.00000  1.00000  0.00000  0.00000  0.00000  0.00000  0.00000
  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000
  0.00000  0.00000  0.00000  1.00000  0.00000  0.00000  0.00000  0.00000
  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000
  0.00000  0.00000  0.00000  0.00000  1.00000  0.00000  0.00000  0.00000
  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000
  0.00000  0.00000  0.00000  0.00000  0.00000  1.00000  0.00000  0.00000
  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000
  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  1.00000  0.00000
  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000
  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  1.00000
  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000
  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000
  1.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000
  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000
  0.00000  1.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000
  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000
  0.00000  0.00000  1.00000  0.00000  0.00000  0.00000  0.00000  0.00000
  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000
  0.00000  0.00000  0.00000  1.00000  0.00000  0.00000  0.00000  0.00000
  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000
  0.00000  0.00000  0.00000  0.00000  1.00000  0.00000  0.00000  0.00000
  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000
  0.00000  0.00000  0.00000  0.00000  0.00000  1.00000  0.00000  0.00000
  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000
  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  1.00000  0.00000
  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000
  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  0.00000  1.00000

Inverse Knm matrix:

  6.38388  6.26686  6.26686  6.23830  6.26686  6.23830  6.23830  6.22533
  6.26686  6.23830  6.23830  6.22533  6.23830  6.22533  6.22533  6.21756
  6.26686  6.38388  6.23830  6.26686  6.23830  6.26686  6.22533  6.23830
  6.23830  6.26686  6.22533  6.23830  6.22533  6.23830  6.21756  6.22533
  6.26686  6.23830  6.38388  6.26686  6.23830  6.22533  6.26686  6.23830
  6.23830  6.22533  6.26686  6.23830  6.22533  6.21756  6.23830  6.22533
  6.23830  6.26686  6.26686  6.38388  6.22533  6.23830  6.23830  6.26686
  6.22533  6.23830  6.23830  6.26686  6.21756  6.22533  6.22533  6.23830
  6.26686  6.23830  6.23830  6.22533  6.38388  6.26686  6.26686  6.23830
  6.23830  6.22533  6.22533  6.21756  6.26686  6.23830  6.23830  6.22533
  6.23830  6.26686  6.22533  6.23830  6.26686  6.38388  6.23830  6.26686
  6.22533  6.23830  6.21756  6.22533  6.23830  6.26686  6.22533  6.23830
  6.23830  6.22533  6.26686  6.23830  6.26686  6.23830  6.38388  6.26686
  6.22533  6.21756  6.23830  6.22533  6.23830  6.22533  6.26686  6.23830
  6.22533  6.23830  6.23830  6.26686  6.23830  6.26686  6.26686  6.38388
  6.21756  6.22533  6.22533  6.23830  6.22533  6.23830  6.23830  6.26686
  6.26686  6.23830  6.23830  6.22533  6.23830  6.22533  6.22533  6.21756
  6.38388  6.26686  6.26686  6.23830  6.26686  6.23830  6.23830  6.22533
  6.23830  6.26686  6.22533  6.23830  6.22533  6.23830  6.21756  6.22533
  6.26686  6.38388  6.23830  6.26686  6.23830  6.26686  6.22533  6.23830
  6.23830  6.22533  6.26686  6.23830  6.22533  6.21756  6.23830  6.22533
  6.26686  6.23830  6.38388  6.26686  6.23830  6.22533  6.26686  6.23830
  6.22533  6.23830  6.23830  6.26686  6.21756  6.22533  6.22533  6.23830
  6.23830  6.26686  6.26686  6.38388  6.22533  6.23830  6.23830  6.26686
  6.23830  6.22533  6.22533  6.21756  6.26686  6.23830  6.23830  6.22533
  6.26686  6.23830  6.23830  6.22533  6.38388  6.26686  6.26686  6.23830
  6.22533  6.23830  6.21756  6.22533  6.23830  6.26686  6.22533  6.23830
  6.23830  6.26686  6.22533  6.23830  6.26686  6.38388  6.23830  6.26686
  6.22533  6.21756  6.23830  6.22533  6.23830  6.22533  6.26686  6.23830
  6.23830  6.22533  6.26686  6.23830  6.26686  6.23830  6.38388  6.26686
  6.21756  6.22533  6.22533  6.23830  6.22533  6.23830  6.23830  6.26686
  6.22533  6.23830  6.23830  6.26686  6.23830  6.26686  6.26686  6.38388