 This output is generated by fleur.26b  * * 
                                     * \:/ *
                                     *  |  *
                                       * *  
 
 No system architecture specified in Makefile
You compiled for GEN with DOUBLE precision,
for systems without INVERSION and without SOC.
 Additional flags are: CPP_MPI  
 Your parameters: 
  No fl7para-file found, 
  invoking dimen7... 
 -------- dump of inp-file ------------
strho=F,film=F,dos=F,isec1=99,ndir= 0,secvar=F
alpha Si                                                                        
any any ,invs=F,zrfs=F,invs2=F,jspins=1,l_noco=F,l_J=F
     0.00000000     5.16735528     5.16735528
     5.16735528     0.00000000     5.16735528
     5.16735528     5.16735528     0.00000000     0.00000000     1.00000000
pbe    non-relativi
igrd=1,lwb=F,ndvgrd=6,idsprs=0,chng=-0.100D-11
    
  2
**********************************
Si  14    4    8  711  2.150000  0.016000
    
 1,force =T,nlo= 0,llo=
  1.000000  1.000000  1.000000  8.000000
**********************************
Si  14    4    8  711  2.150000  0.016000
    
 1,force =T,nlo= 0,llo=
 -0.125000 -0.130000 -0.135000  1.000000
**********************************
 11.100000  9.300000
vchk=F,cdinf=F,pot8=F,gw=0,numbands=  0
lpr=0,form66=F,l_f=F,eonly=F,eig66=F,soc66=T
  6  6
  1  0
Window # 1
  -0.80000   1.00000   8.00000
   3.70000 =kmax
gauss=F   0.00100tria=F
  0.000000  0.000000,l_soc=F,spav=F,off=F
frcor=F,slice=F,ctail=T,disp=F,kcrel=0,u2f=F,f2u=F,bmt=F
itmax=20,maxiter= 99,imix= 7,alpha=  0.05,spinf=  2.00
swsp=F  0.00  0.00
lflip=F  1  1
vacdos=F,layers= 0,integ=F,star=F,nstars= 0     0.00     0.00     0.00     0.00,nstm=0,tworkf=  0.000000

iplot=F,score=F,plpot=F,band=F
  0  0.000000  0.000000,nnne=  0,pallst=F
xa=   2.00000,thetad= 330.00000,epsdisp=   0.00001,epsforce=   0.00001
relax 111 111
emin_dos=  -0.50000,emax_dos=   0.50000,sig_dos=   0.01500

   1 : E  
       1  0  0    0.0
       0  1  0    0.0
       0  0  1    0.0


 Local symmetries:
 -----------------
   symmetry kinds =   1

   symmetry  1:   1 operations in local point group
        atoms:
             1
             2
 gmax= 11.100000
 n3d=   6375
 n2d=      2
 k1d=     12
 k2d=     12
 k3d=     12

 minimum: kxc1d,kxc2d,kxc3d          24          24          24
 ifft235: kxc1d,kxc2d,kxc3d          24          24          24
 -----------fl7para file starts here-----------
      Symmetry elements and FFT parameters 
      parameter (nop = 1,k1d= 12,k2d= 12,k3d= 12,n3d=  6375,n2d=   2)
      FFT-parameters for charge density
      parameter (kq1d= 18,kq2d= 18,kq3d= 18)
      FFT-parameters for XC-potential
      parameter (kxc1d= 24,kxc2d= 24,kxc3d= 24)
      (Inequivalent) atoms and radial mesh
      parameter (ntypd=  2,natd=  2,jmtd= 711)
      Different lattice harmonics components
      parameter (ntypsd=  1,nlhd= 80,memd= 2)
      L-cutoff of potential, charge & wf 
      parameter (lmaxd= 8)
      Number of spins and vacua
      parameter (jspd=1,nvacd=2)
      Vacuum layers for G=0 and G=/=0
      parameter (nmzd=250,nmzxyd=100)
      3 & 2D planewaves, windows, k-points
      parameter (nvd=  259,nv2d=  44,nwdd=1,nkptd=  365)
      Number of (occupied) bands
      parameter (nobd=   8,neigd=   8)
      Nuclear mesh and core levels
      parameter (msh= 857,nstd=30)
      Max. l-value for pseudocharge exp.
      parameter (ncvd= 17)
      Layers for vacuum DOS
      parameter(layerd=  1)
      Local Orbital Parameters
      parameter (nlod=  2,llod=  0)
      One-dimensional parameters
      parameter (vM=  0,MM=  0,m_cyl=  0,chi=  0,rot=  0,nop=  1,n2d=     2,d1=F)
 -----------fl7para file ends here-----------
1   f l a p w  version fleur.26b




    alpha Si                                                                        


 lattice=any
 name of space group=any 
 inversion symmetry=   F
 z-reflection symmetry=F
 vacuum-inversion symm=F
 jspins=1
 unit cell scaled by      1.000000
 the vacuum begins at z=  0.000000
 dtilda/2=                0.000000


 bravais matrices of real and reciprocal lattices

     0.000000  5.167355  5.167355    -0.607969  0.607969  0.607969
     5.167355  0.000000  5.167355     0.607969 -0.607969  0.607969
     5.167355  5.167355  0.000000     0.607969  0.607969 -0.607969

    the volume of the unit cell omega-tilda=  275.952900
          the volume of the unit cell omega=  275.952900
  the area of the two-dimensional unit cell=    1.000000
 exchange-correlation: pbe   non-relativi correction
igrd=1,lwb=F,ndvgrd=6,idsprs=0,chng=-0.100D-11


Si  14    4    8  711  2.150000  0.016000
  0.125000  0.125000  0.125000  1.000000
Si  14    4    8  711  2.150000  0.016000
 -0.125000 -0.130000 -0.135000  1.000000
 ----------------------------------------------------
 Suggested values for input: 
 
Atom Z  lmax jri    rmt         dx
Si  14    8  711  2.152824  0.016164
Si  14    8  711  2.152824  0.016164
k_max = 3.71605
G_max =11.14815
 ----------------------------------------------------
              volume of interstitial region=  192.693364


 number of atom types=  2
 total number of atoms= 2

  no.    type       int.-coord.                 cart.coord.                rmt     jri     dx    lmax

   1    Si   1    0.12  0.12  0.12     1.291839  1.291839  1.291839     2.150000   711   0.0160    8
   2    Si   2   -0.12 -0.13 -0.14    -1.369349 -1.343512 -1.317676     2.150000   711   0.0160    8



 input of parameters for eigenvalues:
    eigenvectors are not printed
    formatted eigenvector file = F
    calculate Pulay-forces = F
    eigenvalues only = F
    number of energy windows = 1
    energy parameter mode: absolute


    max. l value in wavefunctions for atom type(s) 1 to  2:  6  6


 energy window  1 of  1 from  -0.800 to   1.000 hartrees; nr. of electrons=   8.0

 wavefunction cutoff (relative) =   3.70000
                     (absolute) =   3.70000

          gauss-integration is used  =   F
          gaussian half width        =   0.00100

          number of valence electrons=   8.00000
          temperature broadening     =   0.00100
 itmax=          20  broy_sv=          99  imix=           7
 alpha=  5.000000000000000E-002  spinf=   2.00000000000000     
swsp = F
  0.00  0.00

   1 : E  
       1  0  0    0.0
       0  1  0    0.0
       0  0  1    0.0


 Local symmetries:
 -----------------
   symmetry kinds =   1

   symmetry  1:   1 operations in local point group
        atoms:
             1
             2

 --- Local symmetry  1:  81 lattice harmonics ------------------------------

     lattice harmonic   1:  l= 0,  1 members:
         0    1.00000000    0.00000000

     lattice harmonic   2:  l= 1,  1 members:
         0    1.00000000    0.00000000

     lattice harmonic   3:  l= 1,  2 members:
         1    0.70710678    0.00000000        -1   -0.70710678    0.00000000

     lattice harmonic   4:  l= 1,  2 members:
         1    0.00000000   -0.70710678        -1    0.00000000   -0.70710678

     lattice harmonic   5:  l= 2,  1 members:
         0    1.00000000    0.00000000

     lattice harmonic   6:  l= 2,  2 members:
         1    0.70710678    0.00000000        -1   -0.70710678    0.00000000

     lattice harmonic   7:  l= 2,  2 members:
         2    0.70710678    0.00000000        -2    0.70710678    0.00000000

     lattice harmonic   8:  l= 2,  2 members:
         1    0.00000000   -0.70710678        -1    0.00000000   -0.70710678

     lattice harmonic   9:  l= 2,  2 members:
         2    0.00000000   -0.70710678        -2    0.00000000    0.70710678

     lattice harmonic  10:  l= 3,  1 members:
         0    1.00000000    0.00000000

     lattice harmonic  11:  l= 3,  2 members:
         1    0.70710678    0.00000000        -1   -0.70710678    0.00000000

     lattice harmonic  12:  l= 3,  2 members:
         2    0.70710678    0.00000000        -2    0.70710678    0.00000000

     lattice harmonic  13:  l= 3,  2 members:
         3    0.70710678    0.00000000        -3   -0.70710678    0.00000000

     lattice harmonic  14:  l= 3,  2 members:
         1    0.00000000   -0.70710678        -1    0.00000000   -0.70710678

     lattice harmonic  15:  l= 3,  2 members:
         2    0.00000000   -0.70710678        -2    0.00000000    0.70710678

     lattice harmonic  16:  l= 3,  2 members:
         3    0.00000000   -0.70710678        -3    0.00000000   -0.70710678

     lattice harmonic  17:  l= 4,  1 members:
         0    1.00000000    0.00000000

     lattice harmonic  18:  l= 4,  2 members:
         1    0.70710678    0.00000000        -1   -0.70710678    0.00000000

     lattice harmonic  19:  l= 4,  2 members:
         2    0.70710678    0.00000000        -2    0.70710678    0.00000000

     lattice harmonic  20:  l= 4,  2 members:
         3    0.70710678    0.00000000        -3   -0.70710678    0.00000000

     lattice harmonic  21:  l= 4,  2 members:
         4    0.70710678    0.00000000        -4    0.70710678    0.00000000

     lattice harmonic  22:  l= 4,  2 members:
         1    0.00000000   -0.70710678        -1    0.00000000   -0.70710678

     lattice harmonic  23:  l= 4,  2 members:
         2    0.00000000   -0.70710678        -2    0.00000000    0.70710678

     lattice harmonic  24:  l= 4,  2 members:
         3    0.00000000   -0.70710678        -3    0.00000000   -0.70710678

     lattice harmonic  25:  l= 4,  2 members:
         4    0.00000000   -0.70710678        -4    0.00000000    0.70710678

     lattice harmonic  26:  l= 5,  1 members:
         0    1.00000000    0.00000000

     lattice harmonic  27:  l= 5,  2 members:
         1    0.70710678    0.00000000        -1   -0.70710678    0.00000000

     lattice harmonic  28:  l= 5,  2 members:
         2    0.70710678    0.00000000        -2    0.70710678    0.00000000

     lattice harmonic  29:  l= 5,  2 members:
         3    0.70710678    0.00000000        -3   -0.70710678    0.00000000

     lattice harmonic  30:  l= 5,  2 members:
         4    0.70710678    0.00000000        -4    0.70710678    0.00000000

     lattice harmonic  31:  l= 5,  2 members:
         5    0.70710678    0.00000000        -5   -0.70710678    0.00000000

     lattice harmonic  32:  l= 5,  2 members:
         1    0.00000000   -0.70710678        -1    0.00000000   -0.70710678

     lattice harmonic  33:  l= 5,  2 members:
         2    0.00000000   -0.70710678        -2    0.00000000    0.70710678

     lattice harmonic  34:  l= 5,  2 members:
         3    0.00000000   -0.70710678        -3    0.00000000   -0.70710678

     lattice harmonic  35:  l= 5,  2 members:
         4    0.00000000   -0.70710678        -4    0.00000000    0.70710678

     lattice harmonic  36:  l= 5,  2 members:
         5    0.00000000   -0.70710678        -5    0.00000000   -0.70710678

     lattice harmonic  37:  l= 6,  1 members:
         0    1.00000000    0.00000000

     lattice harmonic  38:  l= 6,  2 members:
         1    0.70710678    0.00000000        -1   -0.70710678    0.00000000

     lattice harmonic  39:  l= 6,  2 members:
         2    0.70710678    0.00000000        -2    0.70710678    0.00000000

     lattice harmonic  40:  l= 6,  2 members:
         3    0.70710678    0.00000000        -3   -0.70710678    0.00000000

     lattice harmonic  41:  l= 6,  2 members:
         4    0.70710678    0.00000000        -4    0.70710678    0.00000000

     lattice harmonic  42:  l= 6,  2 members:
         5    0.70710678    0.00000000        -5   -0.70710678    0.00000000

     lattice harmonic  43:  l= 6,  2 members:
         6    0.70710678    0.00000000        -6    0.70710678    0.00000000

     lattice harmonic  44:  l= 6,  2 members:
         1    0.00000000   -0.70710678        -1    0.00000000   -0.70710678

     lattice harmonic  45:  l= 6,  2 members:
         2    0.00000000   -0.70710678        -2    0.00000000    0.70710678

     lattice harmonic  46:  l= 6,  2 members:
         3    0.00000000   -0.70710678        -3    0.00000000   -0.70710678

     lattice harmonic  47:  l= 6,  2 members:
         4    0.00000000   -0.70710678        -4    0.00000000    0.70710678

     lattice harmonic  48:  l= 6,  2 members:
         5    0.00000000   -0.70710678        -5    0.00000000   -0.70710678

     lattice harmonic  49:  l= 6,  2 members:
         6    0.00000000   -0.70710678        -6    0.00000000    0.70710678

     lattice harmonic  50:  l= 7,  1 members:
         0    1.00000000    0.00000000

     lattice harmonic  51:  l= 7,  2 members:
         1    0.70710678    0.00000000        -1   -0.70710678    0.00000000

     lattice harmonic  52:  l= 7,  2 members:
         2    0.70710678    0.00000000        -2    0.70710678    0.00000000

     lattice harmonic  53:  l= 7,  2 members:
         3    0.70710678    0.00000000        -3   -0.70710678    0.00000000

     lattice harmonic  54:  l= 7,  2 members:
         4    0.70710678    0.00000000        -4    0.70710678    0.00000000

     lattice harmonic  55:  l= 7,  2 members:
         5    0.70710678    0.00000000        -5   -0.70710678    0.00000000

     lattice harmonic  56:  l= 7,  2 members:
         6    0.70710678    0.00000000        -6    0.70710678    0.00000000

     lattice harmonic  57:  l= 7,  2 members:
         7    0.70710678    0.00000000        -7   -0.70710678    0.00000000

     lattice harmonic  58:  l= 7,  2 members:
         1    0.00000000   -0.70710678        -1    0.00000000   -0.70710678

     lattice harmonic  59:  l= 7,  2 members:
         2    0.00000000   -0.70710678        -2    0.00000000    0.70710678

     lattice harmonic  60:  l= 7,  2 members:
         3    0.00000000   -0.70710678        -3    0.00000000   -0.70710678

     lattice harmonic  61:  l= 7,  2 members:
         4    0.00000000   -0.70710678        -4    0.00000000    0.70710678

     lattice harmonic  62:  l= 7,  2 members:
         5    0.00000000   -0.70710678        -5    0.00000000   -0.70710678

     lattice harmonic  63:  l= 7,  2 members:
         6    0.00000000   -0.70710678        -6    0.00000000    0.70710678

     lattice harmonic  64:  l= 7,  2 members:
         7    0.00000000   -0.70710678        -7    0.00000000   -0.70710678

     lattice harmonic  65:  l= 8,  1 members:
         0    1.00000000    0.00000000

     lattice harmonic  66:  l= 8,  2 members:
         1    0.70710678    0.00000000        -1   -0.70710678    0.00000000

     lattice harmonic  67:  l= 8,  2 members:
         2    0.70710678    0.00000000        -2    0.70710678    0.00000000

     lattice harmonic  68:  l= 8,  2 members:
         3    0.70710678    0.00000000        -3   -0.70710678    0.00000000

     lattice harmonic  69:  l= 8,  2 members:
         4    0.70710678    0.00000000        -4    0.70710678    0.00000000

     lattice harmonic  70:  l= 8,  2 members:
         5    0.70710678    0.00000000        -5   -0.70710678    0.00000000

     lattice harmonic  71:  l= 8,  2 members:
         6    0.70710678    0.00000000        -6    0.70710678    0.00000000

     lattice harmonic  72:  l= 8,  2 members:
         7    0.70710678    0.00000000        -7   -0.70710678    0.00000000

     lattice harmonic  73:  l= 8,  2 members:
         8    0.70710678    0.00000000        -8    0.70710678    0.00000000

     lattice harmonic  74:  l= 8,  2 members:
         1    0.00000000   -0.70710678        -1    0.00000000   -0.70710678

     lattice harmonic  75:  l= 8,  2 members:
         2    0.00000000   -0.70710678        -2    0.00000000    0.70710678

     lattice harmonic  76:  l= 8,  2 members:
         3    0.00000000   -0.70710678        -3    0.00000000   -0.70710678

     lattice harmonic  77:  l= 8,  2 members:
         4    0.00000000   -0.70710678        -4    0.00000000    0.70710678

     lattice harmonic  78:  l= 8,  2 members:
         5    0.00000000   -0.70710678        -5    0.00000000   -0.70710678

     lattice harmonic  79:  l= 8,  2 members:
         6    0.00000000   -0.70710678        -6    0.00000000    0.70710678

     lattice harmonic  80:  l= 8,  2 members:
         7    0.00000000   -0.70710678        -7    0.00000000   -0.70710678

     lattice harmonic  81:  l= 8,  2 members:
         8    0.00000000   -0.70710678        -8    0.00000000    0.70710678


     group operations on equivalent atoms:
     atom  1 can be mapped into atom  1 through group  operation   1
     atom  2 can be mapped into atom  2 through group  operation   1


 multiplication table


   1


 inverse operations


   1  1



   s t a r   l i s t

 gmax= 11.077725
 nq3=   6375
 izmin=    1
 izmax=32767
 nk1=     25
 nk2=     25
 nk3=     25

 mx1,mx2,mx3= 12 12 12
 kimax2,kimax=      0   6374, (start from 0)

    no.     kv3         sk3       nstr

     1   0   0   0    0.000000     1
     2  -1  -1  -1    1.053033     1
     3   0   0  -1    1.053033     1
     4   0  -1   0    1.053033     1
     5  -1   0   0    1.053033     1
     6   1   0   0    1.053033     1
     7   0   1   0    1.053033     1
     8   0   0   1    1.053033     1
     9   1   1   1    1.053033     1
    10   0  -1  -1    1.215938     1
    40   2   1   0    2.016406     1
    70   1   0  -2    2.650076     1
   100   2   1  -1    2.718921     1
   130  -2   1   1    2.978428     1
   160   2  -1   2    3.159100     1
   190  -3  -4  -2    3.596794     1
   220   1   4   2    3.596794     1
   250   4   1   1    3.647815     1
   280  -1   2   3    3.845135     1
   310   0  -2  -4    4.032811     1
   340  -3  -3  -5    4.341768     1
   370   0  -3   2    4.341768     1
   400   3  -2   1    4.384128     1
   430  -5  -2  -1    4.549625     1
   460  -4  -4  -5    4.669900     1
   490   4   0  -1    4.669900     1
   520  -1   0   4    4.669900     1
   550   5   2   0    4.976442     1
   580  -5   0  -1    5.013442     1
   610  -3  -3  -6    5.158789     1
   640   3   6   3    5.158789     1
   670  -4   2  -1    5.265167     1
   700   4   3   6    5.265167     1
   730   2  -2  -4    5.437841     1
   760  -4   0  -5    5.538863     1
   790   2  -4   1    5.538863     1
   820   5   4   6    5.538863     1
   850   3  -3   2    5.572129     1
   880   1  -5   0    5.703256     1
   910  -5  -6  -2    5.799656     1
   940   1   4   6    5.799656     1
   970  -6  -5  -6    6.049217     1
  1000   4  -3   0    6.049217     1
  1030   0   1   6    6.049217     1
  1060   1  -3   4    6.079692     1
  1090   4  -1  -3    6.200093     1
  1120  -1  -3   4    6.200093     1
  1150   2  -2  -5    6.288882     1
  1180   4  -3   2    6.288882     1
  1210   3   5   7    6.288882     1
  1240   6   2   6    6.318201     1
  1270   7   3   1    6.519743     1
  1300   1  -1  -6    6.548028     1
  1330  -6  -1   1    6.548028     1
  1360   5   2   7    6.548028     1
  1390   7   4   1    6.659968     1
  1420   1   0  -6    6.742704     1
  1450   0  -1   6    6.742704     1
  1480  -6  -2  -7    6.958525     1
  1510  -4  -8  -3    6.958525     1
  1540   7   5   1    6.958525     1
  1570   7   1   5    6.958525     1
  1600   3   0  -5    6.985034     1
  1630   0  -3   5    6.985034     1
  1660  -7   0  -1    7.090078     1
  1690  -2  -3  -8    7.167851     1
  1720  -6   2  -1    7.167851     1
  1750   8   5   6    7.167851     1
  1780  -6   2  -2    7.193588     1
  1810  -6  -8  -6    7.295630     1
  1840  -6  -3  -8    7.371234     1
  1870   8   5   2    7.371234     1
  1900   1  -6  -5    7.396264     1
  1930  -7  -8  -5    7.495547     1
  1960  -5  -5   2    7.495547     1
  1990  -6  -7  -8    7.569155     1
  2020  -7   1  -3    7.569155     1
  2050   1  -6   2    7.569155     1
  2080   1   2   8    7.569155     1
  2110  -5  -5  -9    7.762031     1
  2140  -5  -1  -8    7.785804     1
  2170  -5  -8  -1    7.785804     1
  2200  -5  -1   4    7.785804     1
  2230  -5  -6  -9    7.880181     1
  2260   9   4   3    7.880181     1
  2290  -7  -1  -7    7.950228     1
  2320  -8   0  -3    7.950228     1
  2350  -2  -6   3    7.950228     1
  2380   9   6   6    7.950228     1
  2410   8   2   0    7.973441     1
  2440   0   8   4    8.065622     1
  2470  -8  -1  -6    8.134073     1
  2500  -8   0  -1    8.134073     1
  2530   9   2   4    8.134073     1
  2560   8   7   8    8.134073     1
  2590  -6   3  -3    8.156762     1
  2620  -1  -3   6    8.156762     1
  2650  -7  -9  -4    8.246895     1
  2680   9   4   7    8.246895     1
  2710  -7   2   0    8.313853     1
  2740   0   0   8    8.424268     1
  2770  -7  -9  -3    8.489827     1
  2800  -1   8   2    8.489827     1
  2830   3   1   9    8.489827     1
  2860  -4  -9  -1    8.511568     1
  2890   8   5   9    8.511568     1
  2920  -1   7  -2    8.597982     1
  2950   1   9   2    8.597982     1
  2980  -4  -8  -9    8.662227     1
  3010  -8   1  -4    8.662227     1
  3040  -1   8   4    8.662227     1
  3070   6   5  10    8.662227     1
  3100  -6  -6   2    8.683536     1
  3130   4  -6  -2    8.768256     1
  3160   4   1  -6    8.831262     1
  3190  -1  -7   3    8.831262     1
  3220  -2  -7  -9    8.852165     1
  3250   7   5  -2    8.852165     1
  3280   2   9   7    8.852165     1
  3310  -5   3  -6    8.935285     1
  3340  -5  -8   1    8.935285     1
  3370   5  -1   8    8.935285     1
  3400   2   2  -7    8.997122     1
  3430  -9  -4   0    8.997122     1
  3460  10   3   6    8.997122     1
  3490   4   2  -6    9.099249     1
  3520   2  -2   8    9.099249     1
  3550   0  -8  -7    9.159979     1
  3580  -8  -8  -1    9.159979     1
  3610  -2   8   3    9.159979     1
  3640   3   2  10    9.159979     1
  3670  -9  -5   0    9.180133     1
  3700 -10  -3  -7    9.260310     1
  3730  -9  -1  -7    9.319991     1
  3760   6  -1   8    9.319991     1
  3790  -8   2  -4    9.339799     1
  3820  10   8   4    9.339799     1
  3850   0  -6  -9    9.477301     1
  3880  -4   6  -3    9.477301     1
  3910  -6   3   4    9.477301     1
  3940   9   6  10    9.477301     1
  3970   1  -9  -2    9.496782     1
  4000  11   5   6    9.496782     1
  4030   4  -1  -7    9.574308     1
  4060  -7   4  -1    9.574308     1
  4090   9  10   5    9.574308     1
  4120  -3  -8 -10    9.632043     1
  4150  -4 -11  -6    9.632043     1
  4180   8  -1  -2    9.632043     1
  4210   7  -4   2    9.632043     1
  4240  11   4   6    9.632043     1
  4270   2   7  10    9.632043     1
  4300   3  -2  -8    9.784338     1
  4330  -6 -10  -1    9.784338     1
  4360  -5  -2   6    9.784338     1
  4390  -7 -11  -8    9.803208     1
  4420  -7   4  -3    9.803208     1
  4450   3  11   4    9.803208     1
  4480  -8  -5 -11    9.878330     1
  4510 -11  -6  -3    9.878330     1
  4540  -5   6   3    9.878330     1
  4570   6   3  11    9.878330     1
  4600  -3   8   0    9.934298     1
  4630 -10   0  -4    9.952884     1
  4660  -8 -10  -2   10.026884     1
  4690   8   2  10   10.026884     1
  4720  -4   4  -7   10.082028     1
  4750  -4   7  -2   10.082028     1
  4780  -5  -5   5   10.082028     1
  4810   3   7  11   10.082028     1
  4840   5   3  -6   10.100342     1
  4870  -6  -7   3   10.100342     1
  4900   3  10   9   10.100342     1
  4930   2  -9  -1   10.173270     1
  4960  -9  -5 -11   10.227624     1
  4990 -10   0  -1   10.227624     1
  5020  10  10   9   10.227624     1
  5050   6  10   0   10.317579     1
  5080   0  -9  -8   10.371177     1
  5110  -8  -9   0   10.371177     1
  5140   1  -5   7   10.371177     1
  5170  -7 -12  -7   10.388982     1
  5200  12   7   7   10.388982     1
  5230  -2 -11  -7   10.459897     1
  5260  -7 -11  -2   10.459897     1
  5290   1  11   4   10.459897     1
  5320   4   1  11   10.459897     1
  5350   1  -2 -10   10.512770     1
  5380   5   4  -6   10.512770     1
  5410  -5 -11  -1   10.512770     1
  5440   3  11   1   10.512770     1
  5470  -4  -5   6   10.512770     1
  5500   8   1  10   10.512770     1
  5530   4  -2  -8   10.530335     1
  5560  -2  -6   6   10.530335     1
  5590  -8   4   0   10.600305     1
  5620  -7   3  -7   10.652480     1
  5650  -3  -7   5   10.652480     1
  5680  -6  -1 -11   10.669815     1
  5710  -6 -11  -1   10.669815     1
  5740   6  -5   5   10.669815     1
  5770  -7  -9 -12   10.738876     1
  5800  12   5   3   10.738876     1
  5830  -8 -12  -9   10.790382     1
  5860  -3   6  -6   10.790382     1
  5890   4  -8   1   10.790382     1
  5920  -6  -3   6   10.790382     1
  5950   8   2  11   10.790382     1
  5980   4  -4   8   10.875683     1
  6010   1 -10  -6   10.926544     1
  6040 -10  -6   1   10.926544     1
  6070   4  11  10   10.926544     1
  6100  -4   3  -9   10.943445     1
  6130   3  -9   0   10.943445     1
  6160  -5   4   7   10.943445     1
  6190  -1 -10  -9   11.010790     1
  6220   9  -1   8   11.010790     1
  6250  -2 -12  -5   11.061029     1
  6280  -7   5   3   11.061029     1
  6310 -12  -8 -10   11.077725     1
  6340  10   8   0   11.077725     1
  6370   2  10  10   11.077725     1
  6375   8  10  12   11.077725     1
READING enpara for spin: 1 window: 1

 energy parameters:
         s         p         d      higher l - - -
 -->  1   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0
 -->  2   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0
Spin: 1 --   0eigenvalues
will be skipped for energyparameter computation

 number of k-points for this window =  365
           coordinates           weights
   0.44444   0.44444   0.44444   0.00274
   0.33333   0.44444   0.44444   0.00274
   0.22222   0.44444   0.44444   0.00274
   0.11111   0.44444   0.44444   0.00274
   0.00000   0.44444   0.44444   0.00274
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   0.22222   0.55556   0.55556   0.00274
   0.33333   0.55556   0.55556   0.00274
   0.55556   0.44444   0.44444   0.00274
   0.44444   0.33333   0.44444   0.00274
   0.33333   0.33333   0.44444   0.00274
   0.22222   0.33333   0.44444   0.00274
   0.11111   0.33333   0.44444   0.00274
   0.00000   0.33333   0.44444   0.00274
  -0.11111   0.33333   0.44444   0.00274
  -0.22222   0.33333   0.44444   0.00274
   0.66667   0.33333   0.44444   0.00274
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   0.44444   0.22222   0.44444   0.00274
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   0.22222   0.22222   0.44444   0.00274
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   0.44444   0.00000   0.44444   0.00274
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   0.44444  -0.11111   0.44444   0.00274
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   0.00000  -0.11111   0.44444   0.00274
   0.11111   0.11111   0.55556   0.00274
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   0.33333   0.11111   0.55556   0.00274
   0.44444   0.11111   0.55556   0.00274
   0.55556   0.22222   0.55556   0.00274
   0.33333  -0.22222   0.44444   0.00274
   0.22222  -0.22222   0.44444   0.00274
   0.11111  -0.22222   0.44444   0.00274
   0.00000   0.22222   0.55556   0.00274
   0.11111   0.22222   0.55556   0.00274
   0.22222   0.22222   0.55556   0.00274
   0.33333   0.22222   0.55556   0.00274
   0.44444   0.22222   0.55556   0.00274
   0.55556   0.33333   0.55556   0.00274
   0.33333   0.66667   0.44444   0.00274
   0.22222   0.66667   0.44444   0.00274
   0.11111   0.66667   0.44444   0.00274
   0.00000   0.33333   0.55556   0.00274
   0.11111   0.33333   0.55556   0.00274
   0.22222   0.33333   0.55556   0.00274
   0.33333   0.33333   0.55556   0.00274
   0.44444   0.33333   0.55556   0.00274
   0.44444   0.55556   0.44444   0.00274
   0.33333   0.55556   0.44444   0.00274
   0.22222   0.55556   0.44444   0.00274
   0.11111   0.55556   0.44444   0.00274
   0.00000   0.55556   0.44444   0.00274
   0.11111   0.44444   0.55556   0.00274
   0.22222   0.44444   0.55556   0.00274
   0.33333   0.44444   0.55556   0.00274
   0.44444   0.44444   0.55556   0.00274
   0.44444   0.44444   0.33333   0.00274
   0.33333   0.44444   0.33333   0.00274
   0.22222   0.44444   0.33333   0.00274
   0.11111   0.44444   0.33333   0.00274
   0.00000   0.44444   0.33333   0.00274
  -0.11111   0.44444   0.33333   0.00274
  -0.22222   0.44444   0.33333   0.00274
   0.66667   0.44444   0.33333   0.00274
   0.55556   0.44444   0.33333   0.00274
   0.44444   0.33333   0.33333   0.00274
   0.33333   0.33333   0.33333   0.00274
   0.22222   0.33333   0.33333   0.00274
   0.11111   0.33333   0.33333   0.00274
   0.00000   0.33333   0.33333   0.00274
  -0.11111   0.33333   0.33333   0.00274
  -0.22222   0.33333   0.33333   0.00274
   0.66667   0.33333   0.33333   0.00274
   0.55556   0.33333   0.33333   0.00274
   0.44444   0.22222   0.33333   0.00274
   0.33333   0.22222   0.33333   0.00274
   0.22222   0.22222   0.33333   0.00274
   0.11111   0.22222   0.33333   0.00274
   0.00000   0.22222   0.33333   0.00274
  -0.11111   0.22222   0.33333   0.00274
  -0.22222   0.22222   0.33333   0.00274
   0.66667   0.22222   0.33333   0.00274
   0.55556   0.22222   0.33333   0.00274
   0.44444   0.11111   0.33333   0.00274
   0.33333   0.11111   0.33333   0.00274
   0.22222   0.11111   0.33333   0.00274
   0.11111   0.11111   0.33333   0.00274
   0.00000   0.11111   0.33333   0.00274
  -0.11111   0.11111   0.33333   0.00274
  -0.22222   0.11111   0.33333   0.00274
  -0.33333   0.11111   0.33333   0.00274
   0.55556   0.11111   0.33333   0.00274
   0.44444   0.00000   0.33333   0.00274
   0.33333   0.00000   0.33333   0.00274
   0.22222   0.00000   0.33333   0.00274
   0.11111   0.00000   0.33333   0.00274
   0.00000   0.00000   0.33333   0.00274
  -0.11111   0.00000   0.33333   0.00274
  -0.22222   0.00000   0.33333   0.00274
  -0.33333   0.00000   0.33333   0.00274
   0.55556   0.00000   0.33333   0.00274
   0.44444  -0.11111   0.33333   0.00274
   0.33333  -0.11111   0.33333   0.00274
   0.22222  -0.11111   0.33333   0.00274
   0.11111  -0.11111   0.33333   0.00274
   0.00000  -0.11111   0.33333   0.00274
  -0.11111  -0.11111   0.33333   0.00274
  -0.22222  -0.11111   0.33333   0.00274
  -0.33333  -0.11111   0.33333   0.00274
   0.55556  -0.11111   0.33333   0.00274
   0.44444  -0.22222   0.33333   0.00274
   0.33333  -0.22222   0.33333   0.00274
   0.22222  -0.22222   0.33333   0.00274
   0.11111  -0.22222   0.33333   0.00274
   0.00000  -0.22222   0.33333   0.00274
  -0.11111  -0.22222   0.33333   0.00274
  -0.22222  -0.22222   0.33333   0.00274
   0.33333   0.22222   0.66667   0.00274
   0.44444   0.22222   0.66667   0.00274
   0.44444   0.66667   0.33333   0.00274
   0.33333   0.66667   0.33333   0.00274
   0.22222   0.66667   0.33333   0.00274
   0.11111  -0.33333   0.33333   0.00274
   0.00000  -0.33333   0.33333   0.00274
  -0.11111  -0.33333   0.33333   0.00274
   0.22222   0.33333   0.66667   0.00274
   0.33333   0.33333   0.66667   0.00274
   0.44444   0.33333   0.66667   0.00274
   0.44444   0.55556   0.33333   0.00274
   0.33333   0.55556   0.33333   0.00274
   0.22222   0.55556   0.33333   0.00274
   0.11111   0.55556   0.33333   0.00274
   0.00000   0.55556   0.33333   0.00274
  -0.11111   0.55556   0.33333   0.00274
   0.22222   0.44444   0.66667   0.00274
   0.33333   0.44444   0.66667   0.00274
   0.55556   0.55556   0.33333   0.00274
   0.44444   0.44444   0.22222   0.00274
   0.33333   0.44444   0.22222   0.00274
   0.22222   0.44444   0.22222   0.00274
   0.11111   0.44444   0.22222   0.00274
   0.00000   0.44444   0.22222   0.00274
  -0.11111   0.44444   0.22222   0.00274
  -0.22222   0.44444   0.22222   0.00274
   0.66667   0.44444   0.22222   0.00274
   0.55556   0.44444   0.22222   0.00274
   0.44444   0.33333   0.22222   0.00274
   0.33333   0.33333   0.22222   0.00274
   0.22222   0.33333   0.22222   0.00274
   0.11111   0.33333   0.22222   0.00274
   0.00000   0.33333   0.22222   0.00274
  -0.11111   0.33333   0.22222   0.00274
  -0.22222   0.33333   0.22222   0.00274
   0.66667   0.33333   0.22222   0.00274
   0.55556   0.33333   0.22222   0.00274
   0.44444   0.22222   0.22222   0.00274
   0.33333   0.22222   0.22222   0.00274
   0.22222   0.22222   0.22222   0.00274
   0.11111   0.22222   0.22222   0.00274
   0.00000   0.22222   0.22222   0.00274
  -0.11111   0.22222   0.22222   0.00274
  -0.22222   0.22222   0.22222   0.00274
  -0.33333   0.22222   0.22222   0.00274
   0.55556   0.22222   0.22222   0.00274
   0.44444   0.11111   0.22222   0.00274
   0.33333   0.11111   0.22222   0.00274
   0.22222   0.11111   0.22222   0.00274
   0.11111   0.11111   0.22222   0.00274
   0.00000   0.11111   0.22222   0.00274
  -0.11111   0.11111   0.22222   0.00274
  -0.22222   0.11111   0.22222   0.00274
  -0.33333   0.11111   0.22222   0.00274
   0.55556   0.11111   0.22222   0.00274
   0.44444   0.00000   0.22222   0.00274
   0.33333   0.00000   0.22222   0.00274
   0.22222   0.00000   0.22222   0.00274
   0.11111   0.00000   0.22222   0.00274
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  -0.11111   0.00000   0.22222   0.00274
  -0.22222   0.00000   0.22222   0.00274
  -0.33333   0.00000   0.22222   0.00274
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   0.44444  -0.11111   0.22222   0.00274
   0.33333  -0.11111   0.22222   0.00274
   0.22222  -0.11111   0.22222   0.00274
   0.11111  -0.11111   0.22222   0.00274
   0.00000  -0.11111   0.22222   0.00274
  -0.11111  -0.11111   0.22222   0.00274
  -0.22222  -0.11111   0.22222   0.00274
  -0.33333  -0.11111   0.22222   0.00274
  -0.44444  -0.11111   0.22222   0.00274
   0.44444  -0.22222   0.22222   0.00274
   0.33333  -0.22222   0.22222   0.00274
   0.22222  -0.22222   0.22222   0.00274
   0.11111  -0.22222   0.22222   0.00274
   0.00000  -0.22222   0.22222   0.00274
  -0.11111  -0.22222   0.22222   0.00274
  -0.22222  -0.22222   0.22222   0.00274
  -0.33333  -0.22222   0.22222   0.00274
  -0.44444  -0.22222   0.22222   0.00274
   0.44444   0.66667   0.22222   0.00274
   0.33333   0.66667   0.22222   0.00274
  -0.22222   0.33333  -0.22222   0.00274
   0.11111  -0.33333   0.22222   0.00274
   0.00000  -0.33333   0.22222   0.00274
  -0.11111  -0.33333   0.22222   0.00274
  -0.22222  -0.33333   0.22222   0.00274
  -0.33333  -0.33333   0.22222   0.00274
  -0.44444  -0.33333   0.22222   0.00274
   0.44444   0.55556   0.22222   0.00274
   0.33333   0.55556   0.22222   0.00274
   0.22222   0.55556   0.22222   0.00274
   0.11111   0.55556   0.22222   0.00274
   0.00000   0.55556   0.22222   0.00274
   0.11111   0.44444  -0.22222   0.00274
   0.22222   0.44444  -0.22222   0.00274
   0.33333   0.44444  -0.22222   0.00274
   0.55556   0.55556   0.22222   0.00274
   0.44444   0.44444   0.11111   0.00274
   0.33333   0.44444   0.11111   0.00274
   0.22222   0.44444   0.11111   0.00274
   0.11111   0.44444   0.11111   0.00274
   0.00000   0.44444   0.11111   0.00274
  -0.11111   0.44444   0.11111   0.00274
  -0.22222   0.44444   0.11111   0.00274
   0.66667   0.44444   0.11111   0.00274
   0.55556   0.44444   0.11111   0.00274
   0.44444   0.33333   0.11111   0.00274
   0.33333   0.33333   0.11111   0.00274
   0.22222   0.33333   0.11111   0.00274
   0.11111   0.33333   0.11111   0.00274
   0.00000   0.33333   0.11111   0.00274
  -0.11111   0.33333   0.11111   0.00274
  -0.22222   0.33333   0.11111   0.00274
  -0.33333   0.33333   0.11111   0.00274
   0.55556   0.33333   0.11111   0.00274
   0.44444   0.22222   0.11111   0.00274
   0.33333   0.22222   0.11111   0.00274
   0.22222   0.22222   0.11111   0.00274
   0.11111   0.22222   0.11111   0.00274
   0.00000   0.22222   0.11111   0.00274
  -0.11111   0.22222   0.11111   0.00274
  -0.22222   0.22222   0.11111   0.00274
  -0.33333   0.22222   0.11111   0.00274
   0.55556   0.22222   0.11111   0.00274
   0.44444   0.11111   0.11111   0.00274
   0.33333   0.11111   0.11111   0.00274
   0.22222   0.11111   0.11111   0.00274
   0.11111   0.11111   0.11111   0.00274
   0.00000   0.11111   0.11111   0.00274
  -0.11111   0.11111   0.11111   0.00274
  -0.22222   0.11111   0.11111   0.00274
  -0.33333   0.11111   0.11111   0.00274
   0.55556   0.11111   0.11111   0.00274
   0.44444   0.00000   0.11111   0.00274
   0.33333   0.00000   0.11111   0.00274
   0.22222   0.00000   0.11111   0.00274
   0.11111   0.00000   0.11111   0.00274
   0.00000   0.00000   0.11111   0.00274
  -0.11111   0.00000   0.11111   0.00274
  -0.22222   0.00000   0.11111   0.00274
  -0.33333   0.00000   0.11111   0.00274
  -0.44444   0.00000   0.11111   0.00274
   0.44444  -0.11111   0.11111   0.00274
   0.33333  -0.11111   0.11111   0.00274
   0.22222  -0.11111   0.11111   0.00274
   0.11111  -0.11111   0.11111   0.00274
   0.00000  -0.11111   0.11111   0.00274
  -0.11111  -0.11111   0.11111   0.00274
  -0.22222  -0.11111   0.11111   0.00274
  -0.33333  -0.11111   0.11111   0.00274
  -0.44444  -0.11111   0.11111   0.00274
  -0.44444   0.22222  -0.11111   0.00274
  -0.33333   0.22222  -0.11111   0.00274
  -0.22222   0.22222  -0.11111   0.00274
  -0.11111   0.22222  -0.11111   0.00274
   0.00000   0.22222  -0.11111   0.00274
   0.11111   0.22222  -0.11111   0.00274
   0.22222   0.22222  -0.11111   0.00274
  -0.33333  -0.22222   0.11111   0.00274
  -0.44444  -0.22222   0.11111   0.00274
   0.55556   0.33333  -0.11111   0.00274
  -0.33333   0.33333  -0.11111   0.00274
  -0.22222   0.33333  -0.11111   0.00274
  -0.11111   0.33333  -0.11111   0.00274
   0.00000   0.33333  -0.11111   0.00274
   0.11111   0.33333  -0.11111   0.00274
   0.22222   0.33333  -0.11111   0.00274
   0.33333   0.33333  -0.11111   0.00274
   0.44444   0.33333  -0.11111   0.00274
   0.44444   0.55556   0.11111   0.00274
   0.33333   0.55556   0.11111   0.00274
   0.22222   0.55556   0.11111   0.00274
   0.11111   0.55556   0.11111   0.00274
   0.00000   0.44444  -0.11111   0.00274
   0.11111   0.44444  -0.11111   0.00274
   0.22222   0.44444  -0.11111   0.00274
   0.33333   0.44444  -0.11111   0.00274
   0.44444   0.44444  -0.11111   0.00274
   0.44444   0.44444   0.00000   0.00274
   0.33333   0.44444   0.00000   0.00274
   0.22222   0.44444   0.00000   0.00274
   0.11111   0.44444   0.00000   0.00274
   0.00000   0.44444   0.00000   0.00274
  -0.11111   0.44444   0.00000   0.00274
   0.22222   0.55556   0.00000   0.00274
   0.33333   0.55556   0.00000   0.00274
   0.55556   0.44444   0.00000   0.00274
   0.44444   0.33333   0.00000   0.00274
   0.33333   0.33333   0.00000   0.00274
   0.22222   0.33333   0.00000   0.00274
   0.11111   0.33333   0.00000   0.00274
   0.00000   0.33333   0.00000   0.00274
  -0.11111   0.33333   0.00000   0.00274
  -0.22222   0.33333   0.00000   0.00274
  -0.33333   0.33333   0.00000   0.00274
   0.55556   0.33333   0.00000   0.00274
   0.44444   0.22222   0.00000   0.00274
   0.33333   0.22222   0.00000   0.00274
   0.22222   0.22222   0.00000   0.00274
   0.11111   0.22222   0.00000   0.00274
   0.00000   0.22222   0.00000   0.00274
  -0.11111   0.22222   0.00000   0.00274
  -0.22222   0.22222   0.00000   0.00274
  -0.33333   0.22222   0.00000   0.00274
   0.55556   0.22222   0.00000   0.00274
   0.44444   0.11111   0.00000   0.00274
   0.33333   0.11111   0.00000   0.00274
   0.22222   0.11111   0.00000   0.00274
   0.11111   0.11111   0.00000   0.00274
   0.00000   0.11111   0.00000   0.00274
  -0.11111   0.11111   0.00000   0.00274
  -0.22222   0.11111   0.00000   0.00274
  -0.33333   0.11111   0.00000   0.00274
  -0.44444   0.11111   0.00000   0.00274
  -0.44444   0.00000   0.00000   0.00274
  -0.33333   0.00000   0.00000   0.00274
  -0.22222   0.00000   0.00000   0.00274
  -0.11111   0.00000   0.00000   0.00274
   0.00000   0.00000   0.00000   0.00137
 gmaxxc should be: 2*kmax <= gmaxxc <= gmax 
 gmaxxc =  9.300000


          convergence parameters for the pseudocharge density expansion
          atom     parameter     max. l to include

            1          17              16
            2          17              16
          max values allowed: ncvd= 17, l= 16

 neq=            1   ncore=    10.0000000000000     
 neq=            1   ncore=    20.0000000000000     
 zelec=     8.00000000000000     


 parameters for external electric field:
   total electronic charge   =    28.00000
   total nuclear charge      =    28.00000

             it=        1

          total charge for spin  1=   28.000000
          interst. charge =       3.776903
          mt charge=             12.111548   12.111548

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.776903
          mt charge=             12.111548   12.111548

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*


          p o t e n t i a l   g e n e r a t o r


          multipole moments for atom type=    1

  l   m                   original                      plane wave
  0   0          -0.53272E+00    0.00000E+00         0.75385E+00    0.65533E-17
  1   0           0.10985E-02    0.00000E+00         0.10985E-02   -0.73750E-17
  1   1          -0.30844E-02    0.19811E-02        -0.30844E-02    0.19811E-02
  1  -1           0.30844E-02    0.19811E-02         0.30844E-02    0.19811E-02
  1   1          -0.30844E-02    0.19811E-02        -0.30844E-02    0.19811E-02
  1  -1           0.30844E-02    0.19811E-02         0.30844E-02    0.19811E-02
  2   0           0.19428E-03    0.00000E+00         0.19428E-03   -0.26248E-17
  2   1           0.51602E-02   -0.78324E-02         0.51602E-02   -0.78324E-02
  2  -1          -0.51602E-02   -0.78324E-02        -0.51602E-02   -0.78324E-02
  2   2          -0.10797E-03    0.24130E-02        -0.10797E-03    0.24130E-02
  2  -2          -0.10797E-03   -0.24130E-02        -0.10797E-03   -0.24130E-02
  2   1           0.51602E-02   -0.78324E-02         0.51602E-02   -0.78324E-02
  2  -1          -0.51602E-02   -0.78324E-02        -0.51602E-02   -0.78324E-02
  2   2          -0.10797E-03    0.24130E-02        -0.10797E-03    0.24130E-02
  2  -2          -0.10797E-03   -0.24130E-02        -0.10797E-03   -0.24130E-02
  3   0          -0.30294E-02    0.00000E+00        -0.30294E-02    0.52307E-17
  3   1          -0.40127E-02    0.26766E-02        -0.40127E-02    0.26766E-02
  3  -1           0.40127E-02    0.26766E-02         0.40127E-02    0.26766E-02
  3   2          -0.40188E-05    0.13447E+00        -0.40188E-05    0.13447E+00
  3  -2          -0.40188E-05   -0.13447E+00        -0.40188E-05   -0.13447E+00
  3   3           0.51678E-02    0.34333E-02         0.51678E-02    0.34333E-02
  3  -3          -0.51678E-02    0.34333E-02        -0.51678E-02    0.34333E-02
  3   1          -0.40127E-02    0.26766E-02        -0.40127E-02    0.26766E-02
  3  -1           0.40127E-02    0.26766E-02         0.40127E-02    0.26766E-02
  3   2          -0.40188E-05    0.13447E+00        -0.40188E-05    0.13447E+00
  3  -2          -0.40188E-05   -0.13447E+00        -0.40188E-05   -0.13447E+00
  3   3           0.51678E-02    0.34333E-02         0.51678E-02    0.34333E-02
  3  -3          -0.51678E-02    0.34333E-02        -0.51678E-02    0.34333E-02
  4   0          -0.10079E+00    0.00000E+00        -0.10079E+00   -0.27133E-17
  4   1          -0.20249E-03    0.38368E-03        -0.20249E-03    0.38368E-03
  4  -1           0.20249E-03    0.38368E-03         0.20249E-03    0.38368E-03
  4   2          -0.15636E-03   -0.64203E-04        -0.15636E-03   -0.64203E-04
  4  -2          -0.15636E-03    0.64203E-04        -0.15636E-03    0.64203E-04
  4   3          -0.57586E-03   -0.10378E-02        -0.57586E-03   -0.10378E-02
  4  -3           0.57586E-03   -0.10378E-02         0.57586E-03   -0.10378E-02
  4   4          -0.59977E-01   -0.43504E-05        -0.59977E-01   -0.43504E-05
  4  -4          -0.59977E-01    0.43504E-05        -0.59977E-01    0.43504E-05
  4   1          -0.20249E-03    0.38368E-03        -0.20249E-03    0.38368E-03
  4  -1           0.20249E-03    0.38368E-03         0.20249E-03    0.38368E-03
  4   2          -0.15636E-03   -0.64203E-04        -0.15636E-03   -0.64203E-04
  4  -2          -0.15636E-03    0.64203E-04        -0.15636E-03    0.64203E-04
  4   3          -0.57586E-03   -0.10378E-02        -0.57586E-03   -0.10378E-02
  4  -3           0.57586E-03   -0.10378E-02         0.57586E-03   -0.10378E-02
  4   4          -0.59977E-01   -0.43504E-05        -0.59977E-01   -0.43504E-05
  4  -4          -0.59977E-01    0.43504E-05        -0.59977E-01    0.43504E-05
  5   0           0.22110E-02    0.00000E+00         0.22110E-02    0.33610E-17
  5   1           0.25698E-02   -0.16215E-02         0.25698E-02   -0.16215E-02
  5  -1          -0.25698E-02   -0.16215E-02        -0.25698E-02   -0.16215E-02
  5   2           0.24220E-05    0.27573E-03         0.24220E-05    0.27573E-03
  5  -2           0.24220E-05   -0.27573E-03         0.24220E-05   -0.27573E-03
  5   3           0.82737E-02    0.54839E-02         0.82737E-02    0.54839E-02
  5  -3          -0.82737E-02    0.54839E-02        -0.82737E-02    0.54839E-02
  5   4          -0.23203E-02   -0.21677E-03        -0.23203E-02   -0.21677E-03
  5  -4          -0.23203E-02    0.21677E-03        -0.23203E-02    0.21677E-03
  5   5          -0.12119E-02    0.87587E-03        -0.12119E-02    0.87587E-03
  5  -5           0.12119E-02    0.87587E-03         0.12119E-02    0.87587E-03
  5   1           0.25698E-02   -0.16215E-02         0.25698E-02   -0.16215E-02
  5  -1          -0.25698E-02   -0.16215E-02        -0.25698E-02   -0.16215E-02
  5   2           0.24220E-05    0.27573E-03         0.24220E-05    0.27573E-03
  5  -2           0.24220E-05   -0.27573E-03         0.24220E-05   -0.27573E-03
  5   3           0.82737E-02    0.54839E-02         0.82737E-02    0.54839E-02
  5  -3          -0.82737E-02    0.54839E-02        -0.82737E-02    0.54839E-02
  5   4          -0.23203E-02   -0.21677E-03        -0.23203E-02   -0.21677E-03
  5  -4          -0.23203E-02    0.21677E-03        -0.23203E-02    0.21677E-03
  5   5          -0.12119E-02    0.87587E-03        -0.12119E-02    0.87587E-03
  5  -5           0.12119E-02    0.87587E-03         0.12119E-02    0.87587E-03
  6   0           0.44561E-01    0.00000E+00         0.44561E-01    0.60988E-18
  6   1          -0.29407E-02    0.44490E-02        -0.29407E-02    0.44490E-02
  6  -1           0.29407E-02    0.44490E-02         0.29407E-02    0.44490E-02
  6   2           0.43969E-04   -0.24899E-02         0.43969E-04   -0.24899E-02
  6  -2           0.43969E-04    0.24899E-02         0.43969E-04    0.24899E-02
  6   3          -0.16512E-02   -0.24036E-02        -0.16512E-02   -0.24036E-02
  6  -3           0.16512E-02   -0.24036E-02         0.16512E-02   -0.24036E-02
  6   4          -0.83650E-01   -0.39111E-05        -0.83650E-01   -0.39111E-05
  6  -4          -0.83650E-01    0.39111E-05        -0.83650E-01    0.39111E-05
  6   5          -0.40778E-02    0.60800E-02        -0.40778E-02    0.60800E-02
  6  -5           0.40778E-02    0.60800E-02         0.40778E-02    0.60800E-02
  6   6           0.65216E-04   -0.10373E-02         0.65216E-04   -0.10373E-02
  6  -6           0.65216E-04    0.10373E-02         0.65216E-04    0.10373E-02
  6   1          -0.29407E-02    0.44490E-02        -0.29407E-02    0.44490E-02
  6  -1           0.29407E-02    0.44490E-02         0.29407E-02    0.44490E-02
  6   2           0.43969E-04   -0.24899E-02         0.43969E-04   -0.24899E-02
  6  -2           0.43969E-04    0.24899E-02         0.43969E-04    0.24899E-02
  6   3          -0.16512E-02   -0.24036E-02        -0.16512E-02   -0.24036E-02
  6  -3           0.16512E-02   -0.24036E-02         0.16512E-02   -0.24036E-02
  6   4          -0.83650E-01   -0.39111E-05        -0.83650E-01   -0.39111E-05
  6  -4          -0.83650E-01    0.39111E-05        -0.83650E-01    0.39111E-05
  6   5          -0.40778E-02    0.60800E-02        -0.40778E-02    0.60800E-02
  6  -5           0.40778E-02    0.60800E-02         0.40778E-02    0.60800E-02
  6   6           0.65216E-04   -0.10373E-02         0.65216E-04   -0.10373E-02
  6  -6           0.65216E-04    0.10373E-02         0.65216E-04    0.10373E-02
  7   0           0.78121E-03    0.00000E+00         0.78121E-03   -0.66403E-19
  7   1           0.18499E-02   -0.12845E-02         0.18499E-02   -0.12845E-02
  7  -1          -0.18499E-02   -0.12845E-02        -0.18499E-02   -0.12845E-02
  7   2           0.16452E-05   -0.53964E-01         0.16452E-05   -0.53964E-01
  7  -2           0.16452E-05    0.53964E-01         0.16452E-05    0.53964E-01
  7   3          -0.44583E-03   -0.29098E-03        -0.44583E-03   -0.29098E-03
  7  -3           0.44583E-03   -0.29098E-03         0.44583E-03   -0.29098E-03
  7   4           0.99133E-03   -0.16241E-03         0.99133E-03   -0.16241E-03
  7  -4           0.99133E-03    0.16241E-03         0.99133E-03    0.16241E-03
  7   5          -0.97656E-03    0.70126E-03        -0.97656E-03    0.70126E-03
  7  -5           0.97656E-03    0.70126E-03         0.97656E-03    0.70126E-03
  7   6           0.34253E-05   -0.49360E-01         0.34253E-05   -0.49360E-01
  7  -6           0.34253E-05    0.49360E-01         0.34253E-05    0.49360E-01
  7   7          -0.16806E-02   -0.11491E-02        -0.16806E-02   -0.11491E-02
  7  -7           0.16806E-02   -0.11491E-02         0.16806E-02   -0.11491E-02
  7   1           0.18499E-02   -0.12845E-02         0.18499E-02   -0.12845E-02
  7  -1          -0.18499E-02   -0.12845E-02        -0.18499E-02   -0.12845E-02
  7   2           0.16452E-05   -0.53964E-01         0.16452E-05   -0.53964E-01
  7  -2           0.16452E-05    0.53964E-01         0.16452E-05    0.53964E-01
  7   3          -0.44583E-03   -0.29098E-03        -0.44583E-03   -0.29098E-03
  7  -3           0.44583E-03   -0.29098E-03         0.44583E-03   -0.29098E-03
  7   4           0.99133E-03   -0.16241E-03         0.99133E-03   -0.16241E-03
  7  -4           0.99133E-03    0.16241E-03         0.99133E-03    0.16241E-03
  7   5          -0.97656E-03    0.70126E-03        -0.97656E-03    0.70126E-03
  7  -5           0.97656E-03    0.70126E-03         0.97656E-03    0.70126E-03
  7   6           0.34253E-05   -0.49360E-01         0.34253E-05   -0.49360E-01
  7  -6           0.34253E-05    0.49360E-01         0.34253E-05    0.49360E-01
  7   7          -0.16806E-02   -0.11491E-02        -0.16806E-02   -0.11491E-02
  7  -7           0.16806E-02   -0.11491E-02         0.16806E-02   -0.11491E-02
  8   0           0.20616E-01    0.00000E+00         0.20616E-01   -0.20721E-18
  8   1           0.46320E-03   -0.73894E-03         0.46320E-03   -0.73894E-03
  8  -1          -0.46320E-03   -0.73894E-03        -0.46320E-03   -0.73894E-03
  8   2           0.51330E-04    0.14103E-02         0.51330E-04    0.14103E-02
  8  -2           0.51330E-04   -0.14103E-02         0.51330E-04   -0.14103E-02
  8   3          -0.16483E-03   -0.18351E-03        -0.16483E-03   -0.18351E-03
  8  -3           0.16483E-03   -0.18351E-03         0.16483E-03   -0.18351E-03
  8   4           0.75638E-02    0.28140E-05         0.75638E-02    0.28140E-05
  8  -4           0.75638E-02   -0.28140E-05         0.75638E-02   -0.28140E-05
  8   5          -0.27830E-02    0.41864E-02        -0.27830E-02    0.41864E-02
  8  -5           0.27830E-02    0.41864E-02         0.27830E-02    0.41864E-02
  8   6           0.13871E-03   -0.76625E-03         0.13871E-03   -0.76625E-03
  8  -6           0.13871E-03    0.76625E-03         0.13871E-03    0.76625E-03
  8   7          -0.13578E-02   -0.19786E-02        -0.13578E-02   -0.19786E-02
  8  -7           0.13578E-02   -0.19786E-02         0.13578E-02   -0.19786E-02
  8   8           0.11643E-01    0.38708E-07         0.11643E-01    0.38708E-07
  8  -8           0.11643E-01   -0.38708E-07         0.11643E-01   -0.38708E-07
  8   1           0.46320E-03   -0.73894E-03         0.46320E-03   -0.73894E-03
  8  -1          -0.46320E-03   -0.73894E-03        -0.46320E-03   -0.73894E-03
  8   2           0.51330E-04    0.14103E-02         0.51330E-04    0.14103E-02
  8  -2           0.51330E-04   -0.14103E-02         0.51330E-04   -0.14103E-02
  8   3          -0.16483E-03   -0.18351E-03        -0.16483E-03   -0.18351E-03
  8  -3           0.16483E-03   -0.18351E-03         0.16483E-03   -0.18351E-03
  8   4           0.75638E-02    0.28140E-05         0.75638E-02    0.28140E-05
  8  -4           0.75638E-02   -0.28140E-05         0.75638E-02   -0.28140E-05
  8   5          -0.27830E-02    0.41864E-02        -0.27830E-02    0.41864E-02
  8  -5           0.27830E-02    0.41864E-02         0.27830E-02    0.41864E-02
  8   6           0.13871E-03   -0.76625E-03         0.13871E-03   -0.76625E-03
  8  -6           0.13871E-03    0.76625E-03         0.13871E-03    0.76625E-03
  8   7          -0.13578E-02   -0.19786E-02        -0.13578E-02   -0.19786E-02
  8  -7           0.13578E-02   -0.19786E-02         0.13578E-02   -0.19786E-02
  8   8           0.11643E-01    0.38708E-07         0.11643E-01    0.38708E-07
  8  -8           0.11643E-01   -0.38708E-07         0.11643E-01   -0.38708E-07

          multipole moments for atom type=    2

  l   m                   original                      plane wave
  0   0          -0.53272E+00    0.00000E+00         0.75385E+00    0.70120E-17
  1   0          -0.10985E-02    0.00000E+00        -0.10985E-02   -0.72652E-17
  1   1           0.30844E-02   -0.19811E-02         0.30844E-02   -0.19811E-02
  1  -1          -0.30844E-02   -0.19811E-02        -0.30844E-02   -0.19811E-02
  1   1           0.30844E-02   -0.19811E-02         0.30844E-02   -0.19811E-02
  1  -1          -0.30844E-02   -0.19811E-02        -0.30844E-02   -0.19811E-02
  2   0           0.19428E-03    0.00000E+00         0.19428E-03   -0.46212E-18
  2   1           0.51602E-02   -0.78324E-02         0.51602E-02   -0.78324E-02
  2  -1          -0.51602E-02   -0.78324E-02        -0.51602E-02   -0.78324E-02
  2   2          -0.10797E-03    0.24130E-02        -0.10797E-03    0.24130E-02
  2  -2          -0.10797E-03   -0.24130E-02        -0.10797E-03   -0.24130E-02
  2   1           0.51602E-02   -0.78324E-02         0.51602E-02   -0.78324E-02
  2  -1          -0.51602E-02   -0.78324E-02        -0.51602E-02   -0.78324E-02
  2   2          -0.10797E-03    0.24130E-02        -0.10797E-03    0.24130E-02
  2  -2          -0.10797E-03   -0.24130E-02        -0.10797E-03   -0.24130E-02
  3   0           0.30294E-02    0.00000E+00         0.30294E-02    0.51688E-17
  3   1           0.40127E-02   -0.26766E-02         0.40127E-02   -0.26766E-02
  3  -1          -0.40127E-02   -0.26766E-02        -0.40127E-02   -0.26766E-02
  3   2           0.40188E-05   -0.13447E+00         0.40188E-05   -0.13447E+00
  3  -2           0.40188E-05    0.13447E+00         0.40188E-05    0.13447E+00
  3   3          -0.51678E-02   -0.34333E-02        -0.51678E-02   -0.34333E-02
  3  -3           0.51678E-02   -0.34333E-02         0.51678E-02   -0.34333E-02
  3   1           0.40127E-02   -0.26766E-02         0.40127E-02   -0.26766E-02
  3  -1          -0.40127E-02   -0.26766E-02        -0.40127E-02   -0.26766E-02
  3   2           0.40188E-05   -0.13447E+00         0.40188E-05   -0.13447E+00
  3  -2           0.40188E-05    0.13447E+00         0.40188E-05    0.13447E+00
  3   3          -0.51678E-02   -0.34333E-02        -0.51678E-02   -0.34333E-02
  3  -3           0.51678E-02   -0.34333E-02         0.51678E-02   -0.34333E-02
  4   0          -0.10079E+00    0.00000E+00        -0.10079E+00   -0.25523E-19
  4   1          -0.20249E-03    0.38368E-03        -0.20249E-03    0.38368E-03
  4  -1           0.20249E-03    0.38368E-03         0.20249E-03    0.38368E-03
  4   2          -0.15636E-03   -0.64203E-04        -0.15636E-03   -0.64203E-04
  4  -2          -0.15636E-03    0.64203E-04        -0.15636E-03    0.64203E-04
  4   3          -0.57586E-03   -0.10378E-02        -0.57586E-03   -0.10378E-02
  4  -3           0.57586E-03   -0.10378E-02         0.57586E-03   -0.10378E-02
  4   4          -0.59977E-01   -0.43504E-05        -0.59977E-01   -0.43504E-05
  4  -4          -0.59977E-01    0.43504E-05        -0.59977E-01    0.43504E-05
  4   1          -0.20249E-03    0.38368E-03        -0.20249E-03    0.38368E-03
  4  -1           0.20249E-03    0.38368E-03         0.20249E-03    0.38368E-03
  4   2          -0.15636E-03   -0.64203E-04        -0.15636E-03   -0.64203E-04
  4  -2          -0.15636E-03    0.64203E-04        -0.15636E-03    0.64203E-04
  4   3          -0.57586E-03   -0.10378E-02        -0.57586E-03   -0.10378E-02
  4  -3           0.57586E-03   -0.10378E-02         0.57586E-03   -0.10378E-02
  4   4          -0.59977E-01   -0.43504E-05        -0.59977E-01   -0.43504E-05
  4  -4          -0.59977E-01    0.43504E-05        -0.59977E-01    0.43504E-05
  5   0          -0.22110E-02    0.00000E+00        -0.22110E-02    0.94477E-19
  5   1          -0.25698E-02    0.16215E-02        -0.25698E-02    0.16215E-02
  5  -1           0.25698E-02    0.16215E-02         0.25698E-02    0.16215E-02
  5   2          -0.24220E-05   -0.27573E-03        -0.24220E-05   -0.27573E-03
  5  -2          -0.24220E-05    0.27573E-03        -0.24220E-05    0.27573E-03
  5   3          -0.82737E-02   -0.54839E-02        -0.82737E-02   -0.54839E-02
  5  -3           0.82737E-02   -0.54839E-02         0.82737E-02   -0.54839E-02
  5   4           0.23203E-02    0.21677E-03         0.23203E-02    0.21677E-03
  5  -4           0.23203E-02   -0.21677E-03         0.23203E-02   -0.21677E-03
  5   5           0.12119E-02   -0.87587E-03         0.12119E-02   -0.87587E-03
  5  -5          -0.12119E-02   -0.87587E-03        -0.12119E-02   -0.87587E-03
  5   1          -0.25698E-02    0.16215E-02        -0.25698E-02    0.16215E-02
  5  -1           0.25698E-02    0.16215E-02         0.25698E-02    0.16215E-02
  5   2          -0.24220E-05   -0.27573E-03        -0.24220E-05   -0.27573E-03
  5  -2          -0.24220E-05    0.27573E-03        -0.24220E-05    0.27573E-03
  5   3          -0.82737E-02   -0.54839E-02        -0.82737E-02   -0.54839E-02
  5  -3           0.82737E-02   -0.54839E-02         0.82737E-02   -0.54839E-02
  5   4           0.23203E-02    0.21677E-03         0.23203E-02    0.21677E-03
  5  -4           0.23203E-02   -0.21677E-03         0.23203E-02   -0.21677E-03
  5   5           0.12119E-02   -0.87587E-03         0.12119E-02   -0.87587E-03
  5  -5          -0.12119E-02   -0.87587E-03        -0.12119E-02   -0.87587E-03
  6   0           0.44561E-01    0.00000E+00         0.44561E-01   -0.37670E-18
  6   1          -0.29407E-02    0.44490E-02        -0.29407E-02    0.44490E-02
  6  -1           0.29407E-02    0.44490E-02         0.29407E-02    0.44490E-02
  6   2           0.43969E-04   -0.24899E-02         0.43969E-04   -0.24899E-02
  6  -2           0.43969E-04    0.24899E-02         0.43969E-04    0.24899E-02
  6   3          -0.16512E-02   -0.24036E-02        -0.16512E-02   -0.24036E-02
  6  -3           0.16512E-02   -0.24036E-02         0.16512E-02   -0.24036E-02
  6   4          -0.83650E-01   -0.39111E-05        -0.83650E-01   -0.39111E-05
  6  -4          -0.83650E-01    0.39111E-05        -0.83650E-01    0.39111E-05
  6   5          -0.40778E-02    0.60800E-02        -0.40778E-02    0.60800E-02
  6  -5           0.40778E-02    0.60800E-02         0.40778E-02    0.60800E-02
  6   6           0.65216E-04   -0.10373E-02         0.65216E-04   -0.10373E-02
  6  -6           0.65216E-04    0.10373E-02         0.65216E-04    0.10373E-02
  6   1          -0.29407E-02    0.44490E-02        -0.29407E-02    0.44490E-02
  6  -1           0.29407E-02    0.44490E-02         0.29407E-02    0.44490E-02
  6   2           0.43969E-04   -0.24899E-02         0.43969E-04   -0.24899E-02
  6  -2           0.43969E-04    0.24899E-02         0.43969E-04    0.24899E-02
  6   3          -0.16512E-02   -0.24036E-02        -0.16512E-02   -0.24036E-02
  6  -3           0.16512E-02   -0.24036E-02         0.16512E-02   -0.24036E-02
  6   4          -0.83650E-01   -0.39111E-05        -0.83650E-01   -0.39111E-05
  6  -4          -0.83650E-01    0.39111E-05        -0.83650E-01    0.39111E-05
  6   5          -0.40778E-02    0.60800E-02        -0.40778E-02    0.60800E-02
  6  -5           0.40778E-02    0.60800E-02         0.40778E-02    0.60800E-02
  6   6           0.65216E-04   -0.10373E-02         0.65216E-04   -0.10373E-02
  6  -6           0.65216E-04    0.10373E-02         0.65216E-04    0.10373E-02
  7   0          -0.78121E-03    0.00000E+00        -0.78121E-03   -0.22621E-18
  7   1          -0.18499E-02    0.12845E-02        -0.18499E-02    0.12845E-02
  7  -1           0.18499E-02    0.12845E-02         0.18499E-02    0.12845E-02
  7   2          -0.16452E-05    0.53964E-01        -0.16452E-05    0.53964E-01
  7  -2          -0.16452E-05   -0.53964E-01        -0.16452E-05   -0.53964E-01
  7   3           0.44583E-03    0.29098E-03         0.44583E-03    0.29098E-03
  7  -3          -0.44583E-03    0.29098E-03        -0.44583E-03    0.29098E-03
  7   4          -0.99133E-03    0.16241E-03        -0.99133E-03    0.16241E-03
  7  -4          -0.99133E-03   -0.16241E-03        -0.99133E-03   -0.16241E-03
  7   5           0.97656E-03   -0.70126E-03         0.97656E-03   -0.70126E-03
  7  -5          -0.97656E-03   -0.70126E-03        -0.97656E-03   -0.70126E-03
  7   6          -0.34253E-05    0.49360E-01        -0.34253E-05    0.49360E-01
  7  -6          -0.34253E-05   -0.49360E-01        -0.34253E-05   -0.49360E-01
  7   7           0.16806E-02    0.11491E-02         0.16806E-02    0.11491E-02
  7  -7          -0.16806E-02    0.11491E-02        -0.16806E-02    0.11491E-02
  7   1          -0.18499E-02    0.12845E-02        -0.18499E-02    0.12845E-02
  7  -1           0.18499E-02    0.12845E-02         0.18499E-02    0.12845E-02
  7   2          -0.16452E-05    0.53964E-01        -0.16452E-05    0.53964E-01
  7  -2          -0.16452E-05   -0.53964E-01        -0.16452E-05   -0.53964E-01
  7   3           0.44583E-03    0.29098E-03         0.44583E-03    0.29098E-03
  7  -3          -0.44583E-03    0.29098E-03        -0.44583E-03    0.29098E-03
  7   4          -0.99133E-03    0.16241E-03        -0.99133E-03    0.16241E-03
  7  -4          -0.99133E-03   -0.16241E-03        -0.99133E-03   -0.16241E-03
  7   5           0.97656E-03   -0.70126E-03         0.97656E-03   -0.70126E-03
  7  -5          -0.97656E-03   -0.70126E-03        -0.97656E-03   -0.70126E-03
  7   6          -0.34253E-05    0.49360E-01        -0.34253E-05    0.49360E-01
  7  -6          -0.34253E-05   -0.49360E-01        -0.34253E-05   -0.49360E-01
  7   7           0.16806E-02    0.11491E-02         0.16806E-02    0.11491E-02
  7  -7          -0.16806E-02    0.11491E-02        -0.16806E-02    0.11491E-02
  8   0           0.20616E-01    0.00000E+00         0.20616E-01    0.21319E-18
  8   1           0.46320E-03   -0.73894E-03         0.46320E-03   -0.73894E-03
  8  -1          -0.46320E-03   -0.73894E-03        -0.46320E-03   -0.73894E-03
  8   2           0.51330E-04    0.14103E-02         0.51330E-04    0.14103E-02
  8  -2           0.51330E-04   -0.14103E-02         0.51330E-04   -0.14103E-02
  8   3          -0.16483E-03   -0.18351E-03        -0.16483E-03   -0.18351E-03
  8  -3           0.16483E-03   -0.18351E-03         0.16483E-03   -0.18351E-03
  8   4           0.75638E-02    0.28140E-05         0.75638E-02    0.28140E-05
  8  -4           0.75638E-02   -0.28140E-05         0.75638E-02   -0.28140E-05
  8   5          -0.27830E-02    0.41864E-02        -0.27830E-02    0.41864E-02
  8  -5           0.27830E-02    0.41864E-02         0.27830E-02    0.41864E-02
  8   6           0.13871E-03   -0.76625E-03         0.13871E-03   -0.76625E-03
  8  -6           0.13871E-03    0.76625E-03         0.13871E-03    0.76625E-03
  8   7          -0.13578E-02   -0.19786E-02        -0.13578E-02   -0.19786E-02
  8  -7           0.13578E-02   -0.19786E-02         0.13578E-02   -0.19786E-02
  8   8           0.11643E-01    0.38708E-07         0.11643E-01    0.38708E-07
  8  -8           0.11643E-01   -0.38708E-07         0.11643E-01   -0.38708E-07
  8   1           0.46320E-03   -0.73894E-03         0.46320E-03   -0.73894E-03
  8  -1          -0.46320E-03   -0.73894E-03        -0.46320E-03   -0.73894E-03
  8   2           0.51330E-04    0.14103E-02         0.51330E-04    0.14103E-02
  8  -2           0.51330E-04   -0.14103E-02         0.51330E-04   -0.14103E-02
  8   3          -0.16483E-03   -0.18351E-03        -0.16483E-03   -0.18351E-03
  8  -3           0.16483E-03   -0.18351E-03         0.16483E-03   -0.18351E-03
  8   4           0.75638E-02    0.28140E-05         0.75638E-02    0.28140E-05
  8  -4           0.75638E-02   -0.28140E-05         0.75638E-02   -0.28140E-05
  8   5          -0.27830E-02    0.41864E-02        -0.27830E-02    0.41864E-02
  8  -5           0.27830E-02    0.41864E-02         0.27830E-02    0.41864E-02
  8   6           0.13871E-03   -0.76625E-03         0.13871E-03   -0.76625E-03
  8  -6           0.13871E-03    0.76625E-03         0.13871E-03    0.76625E-03
  8   7          -0.13578E-02   -0.19786E-02        -0.13578E-02   -0.19786E-02
  8  -7           0.13578E-02   -0.19786E-02         0.13578E-02   -0.19786E-02
  8   8           0.11643E-01    0.38708E-07         0.11643E-01    0.38708E-07
  8  -8           0.11643E-01   -0.38708E-07         0.11643E-01   -0.38708E-07

          integral of pseudo charge density inside the slab=        0.000000   0.000000

     coulomb potential in the interstitial region:

          density-coulomb potential integrals


          interstitial :                       0.8261957985

          muffin tin spheres :              -845.8895819450

          total density-coulomb potenti     -845.0633861465
 wrtdop title:alpha Si                                                                ordered*

     interstitial potential average (vbar) = -0.030201

 999idsprs in starting of nmtxad= 0

          density-effective potential integrals for spin  1


          interstitial :                      -0.4139078615

          muffin tin spheres :              -898.5110091039

          total density-effective poten     -898.9249169654

          charge density-energy density integrals


          interstitial :                      -0.9662070163

          muffin tin spheres :               -40.7393439249

          total charge density-energy d      -41.7055509411
 wrtdop title:alpha Si                                                                ordered*
 IT=   1  ISEC1=  99 standard diagonalization
  Atom  1 3s branch from -4.74 to  1.05 htr. ; e_l = -0.1512
  Atom  1 3p branch from -3.12 to  1.53 htr. ; e_l =  0.0345
  Atom  1 3d branch from -9.99 to  1.93 htr. ; e_l =  0.2293
  Atom  1 4f branch from -9.99 to  4.08 htr. ; e_l =  0.3973
  Atom  2 3s branch from -4.74 to  1.05 htr. ; e_l = -0.1512
  Atom  2 3p branch from -3.12 to  1.53 htr. ; e_l =  0.0345
  Atom  2 3d branch from -9.99 to  1.93 htr. ; e_l =  0.2293
  Atom  2 4f branch from -9.99 to  4.08 htr. ; e_l =  0.3973


 wavefunction parameters for atom type  1:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.15116        4.7631013E-01  -2.4773580E-01    2       -3.1319380E-01  -7.4548541E-01    2   1.0820847E-01   4.3267157E-01
  1   0.03446       -5.5166630E-01   1.0332886E-01    1        2.6693412E-01   7.3432934E-01    2   8.0055320E-02   4.3268675E-01
  2   0.22930        6.4260995E-01   1.5893098E-01    0       -2.3385428E-01  -7.3116039E-01    1   6.5683488E-02   4.3268425E-01
  3   0.39732        8.3706270E-01   7.5194123E-01    0       -1.2190044E-01  -6.2640564E-01    1   1.3197873E-02   4.3267883E-01
  4   0.39732        9.7680087E-01   1.4599512E+00    0       -8.2265020E-02  -5.6589960E-01    1   4.9356785E-03   4.3266831E-01
  5   0.39732        1.0886128E+00   2.2131673E+00    0       -6.1727063E-02  -5.2292967E-01    1   2.3859287E-03   4.3265559E-01
  6   0.39732        1.1857054E+00   3.0187715E+00    0       -4.8962063E-02  -4.8953625E-01    1   1.3215332E-03   4.3264048E-01
  7   0.39732        1.2732312E+00   3.8770853E+00    0       -4.0242071E-02  -4.6232362E-01    1   7.9924216E-04   4.3262291E-01
  8   0.39732        1.3538312E+00   4.7867339E+00    0       -3.3918911E-02  -4.3946666E-01    1   5.1470629E-04   4.3260286E-01


 wavefunction parameters for atom type  2:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.15116        4.7631015E-01  -2.4773577E-01    2       -3.1319379E-01  -7.4548541E-01    2   1.0820846E-01   4.3267157E-01
  1   0.03446       -5.5166632E-01   1.0332883E-01    1        2.6693411E-01   7.3432934E-01    2   8.0055315E-02   4.3268675E-01
  2   0.22930        6.4260996E-01   1.5893102E-01    0       -2.3385427E-01  -7.3116039E-01    1   6.5683483E-02   4.3268425E-01
  3   0.39732        8.3706271E-01   7.5194126E-01    0       -1.2190044E-01  -6.2640564E-01    1   1.3197872E-02   4.3267883E-01
  4   0.39732        9.7680087E-01   1.4599512E+00    0       -8.2265019E-02  -5.6589960E-01    1   4.9356784E-03   4.3266831E-01
  5   0.39732        1.0886128E+00   2.2131674E+00    0       -6.1727062E-02  -5.2292967E-01    1   2.3859287E-03   4.3265559E-01
  6   0.39732        1.1857054E+00   3.0187716E+00    0       -4.8962063E-02  -4.8953624E-01    1   1.3215332E-03   4.3264048E-01
  7   0.39732        1.2732312E+00   3.8770853E+00    0       -4.0242071E-02  -4.6232362E-01    1   7.9924215E-04   4.3262291E-01
  8   0.39732        1.3538312E+00   4.7867339E+00    0       -3.3918911E-02  -4.3946666E-01    1   5.1470628E-04   4.3260286E-01


 k=(    0.444444    0.444444    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.168678   -0.043868    0.142632    0.147595    0.245705
         0.315182    0.320530    0.482509


 k=(    0.333333    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.170958   -0.029934    0.119381    0.131290    0.270832
         0.316261    0.345049    0.446380


 k=(    0.222222    0.444444    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164616   -0.016623    0.082515    0.111860    0.254560
         0.353216    0.381829    0.398924


 k=(    0.111111    0.444444    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.148911   -0.029868    0.081826    0.095972    0.231540
         0.275987    0.465003    0.467927


 k=(    0.000000    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.124295   -0.062422    0.087989    0.094181    0.219926
         0.236810    0.530294    0.530648


 k=(   -0.111111    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.101548   -0.085273    0.073610    0.089243    0.225571
         0.261578    0.529305    0.537835


 k=(    0.222222    0.555556    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.123577   -0.058443    0.050378    0.099527    0.238083
         0.332809    0.456259    0.457790


 k=(    0.333333    0.555556    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.144007   -0.046789    0.064000    0.116916    0.259707
         0.373551    0.386846    0.423608


 k=(    0.555556    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.159217   -0.048464    0.110463    0.135668    0.270577
         0.317348    0.336760    0.493179


 k=(    0.444444    0.333333    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.171002   -0.029730    0.117260    0.133295    0.271161
         0.317403    0.343328    0.445202


 k=(    0.333333    0.333333    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.180019   -0.013818    0.106611    0.150600    0.277351
         0.326637    0.329090    0.465111


 k=(    0.222222    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.179375    0.002515    0.083157    0.131643    0.292996
         0.324792    0.374228    0.390516


 k=(    0.111111    0.333333    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.168545   -0.003879    0.082198    0.105233    0.263156
         0.302259    0.389898    0.452300


 k=(    0.000000    0.333333    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.147857   -0.032773    0.077498    0.102406    0.236613
         0.270629    0.465781    0.470581


 k=(   -0.111111    0.333333    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.119542   -0.064652    0.070868    0.081900    0.256234
         0.271040    0.457971    0.522660


 k=(   -0.222222    0.333333    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.106199   -0.074916    0.050357    0.079422    0.267592
         0.333414    0.436565    0.446279


 k=(    0.666667    0.333333    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.130289   -0.051045    0.045975    0.095760    0.285075
         0.358077    0.420720    0.436134


 k=(    0.555556    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.153667   -0.039468    0.077276    0.117811    0.297276
         0.309215    0.390548    0.435611


 k=(    0.444444    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164678   -0.016127    0.080555    0.113335    0.255801
         0.351894    0.381815    0.397634


 k=(    0.333333    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.179384    0.002723    0.082319    0.132385    0.293203
         0.325831    0.373562    0.388474


 k=(    0.222222    0.222222    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.184066    0.010981    0.073094    0.150072    0.293029
         0.353679    0.360924    0.407465


 k=(    0.111111    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.178291   -0.003661    0.087884    0.131672    0.299716
         0.324670    0.367879    0.394761


 k=(    0.000000    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162372   -0.024664    0.081519    0.118957    0.261527
         0.345851    0.383867    0.400735


 k=(   -0.111111    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.137671   -0.046862    0.056931    0.100414    0.281382
         0.336349    0.378347    0.465447


 k=(   -0.222222    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.109202   -0.071227    0.047713    0.073790    0.332864
         0.345266    0.363031    0.424413


 k=(    0.666667    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.113508   -0.064780    0.050393    0.068642    0.335389
         0.339503    0.361897    0.428992


 k=(    0.555556    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.141377   -0.037854    0.058899    0.092294    0.276636
         0.341584    0.373073    0.466906


 k=(    0.444444    0.111111    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.148942   -0.029692    0.080412    0.097194    0.232615
         0.274972    0.464262    0.467400


 k=(    0.333333    0.111111    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.168518   -0.004081    0.082508    0.105165    0.263326
         0.301972    0.389941    0.452111


 k=(    0.222222    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.178260   -0.003984    0.088878    0.130966    0.299502
         0.323664    0.368518    0.396563


 k=(    0.111111    0.111111    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.177750   -0.023047    0.114860    0.148321    0.280041
         0.327962    0.339189    0.460887


 k=(    0.000000    0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.167423   -0.040567    0.118353    0.139700    0.275420
         0.322945    0.345627    0.439011


 k=(   -0.111111    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148619   -0.051882    0.076292    0.127336    0.298658
         0.319469    0.388203    0.429219


 k=(   -0.222222    0.111111    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.123789   -0.063217    0.044678    0.103452    0.290913
         0.362396    0.412848    0.432776


 k=(    0.666667    0.111111    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.099600   -0.082755    0.045996    0.085125    0.273711
         0.327264    0.435056    0.446928


 k=(    0.555556    0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.121437   -0.061322    0.072133    0.078764    0.257990
         0.269825    0.452243    0.521943


 k=(    0.444444    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.124133   -0.062753    0.089109    0.093326    0.220353
         0.236269    0.530305    0.530596


 k=(    0.333333    0.000000    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.147709   -0.033399    0.079095    0.101489    0.235642
         0.271334    0.465740    0.471890


 k=(    0.222222    0.000000    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162257   -0.025320    0.083304    0.117881    0.260196
         0.346903    0.383713    0.402436


 k=(    0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.167359   -0.040807    0.119718    0.138541    0.275090
         0.321197    0.347879    0.440202


 k=(    0.000000    0.000000    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.163809   -0.056022    0.143841    0.153598    0.249025
         0.317237    0.328044    0.486568


 k=(   -0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153383   -0.061710    0.111079    0.143021    0.274463
         0.322376    0.339210    0.497303


 k=(    0.222222    0.000000    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.138035   -0.059767    0.065163    0.123229    0.265725
         0.375838    0.388924    0.416888


 k=(    0.333333    0.000000    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.118221   -0.067244    0.048319    0.105241    0.244059
         0.326786    0.456318    0.460685


 k=(    0.555556    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.094195   -0.093019    0.068566    0.094654    0.231615
         0.255614    0.525676    0.537153


 k=(    0.444444   -0.111111    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.099996   -0.087036    0.072729    0.090379    0.226799
         0.260296    0.528495    0.537852


 k=(    0.333333   -0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.118944   -0.065714    0.071434    0.081945    0.256478
         0.270601    0.459153    0.522863


 k=(    0.222222   -0.111111    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.137343   -0.047786    0.057749    0.100382    0.279901
         0.337674    0.379454    0.465623


 k=(    0.111111   -0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148443   -0.052288    0.076252    0.127744    0.298054
         0.319983    0.388011    0.430431


 k=(    0.000000   -0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153321   -0.061783    0.109813    0.144497    0.274794
         0.324085    0.336697    0.497019


 k=(    0.111111    0.111111    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153571   -0.061498    0.116322    0.137031    0.273639
         0.319927    0.343943    0.498354


 k=(    0.222222    0.111111    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149168   -0.051236    0.082240    0.120236    0.302141
         0.311501    0.395400    0.429944


 k=(    0.333333    0.111111    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.138522   -0.045365    0.060695    0.095419    0.281133
         0.337526    0.374264    0.470287


 k=(    0.444444    0.111111    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.120598   -0.062853    0.072267    0.079527    0.257461
         0.270093    0.454698    0.522429


 k=(    0.555556    0.222222    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.123288   -0.058769    0.049160    0.100792    0.239367
         0.331495    0.454623    0.457966


 k=(    0.333333   -0.222222    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.104958   -0.076501    0.049543    0.080617    0.268846
         0.332086    0.435820    0.446917


 k=(    0.222222   -0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.108068   -0.072843    0.047488    0.074569    0.333496
         0.345016    0.363491    0.423512


 k=(    0.111111   -0.222222    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.123393   -0.063789    0.044137    0.104181    0.292433
         0.360590    0.412402    0.432846


 k=(    0.000000    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137940   -0.059743    0.063854    0.124438    0.267172
         0.375337    0.386932    0.416524


 k=(    0.111111    0.222222    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149162   -0.051100    0.080725    0.121737    0.301661
         0.313237    0.393650    0.428855


 k=(    0.222222    0.222222    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.154332   -0.036723    0.062123    0.131892    0.275362
         0.375080    0.380402    0.451203


 k=(    0.333333    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.151647   -0.028514    0.051464    0.113375    0.305181
         0.341763    0.373892    0.444052


 k=(    0.444444    0.222222    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.140807   -0.039226    0.057480    0.094927    0.276056
         0.341592    0.375831    0.464068


 k=(    0.555556    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143878   -0.046845    0.062489    0.118467    0.261008
         0.372697    0.385318    0.423176


 k=(    0.333333    0.666667    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.129958   -0.051606    0.045298    0.096712    0.286492
         0.356387    0.419868    0.436629


 k=(    0.222222    0.666667    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.112759   -0.065946    0.049736    0.069773    0.334166
         0.341438    0.362101    0.428031


 k=(    0.111111    0.666667    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.097961   -0.084536    0.045169    0.086068    0.275059
         0.325985    0.435238    0.446555


 k=(    0.000000    0.333333    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.118135   -0.067132    0.047034    0.106220    0.245471
         0.325551    0.455575    0.459849


 k=(    0.111111    0.333333    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.138551   -0.045049    0.059060    0.096755    0.282375
         0.336203    0.374468    0.468806


 k=(    0.222222    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.151668   -0.028415    0.051381    0.113350    0.305306
         0.341366    0.374231    0.444308


 k=(    0.333333    0.333333    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.156438   -0.029203    0.056190    0.132747    0.275502
         0.370261    0.372388    0.457499


 k=(    0.444444    0.333333    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.153328   -0.040021    0.074137    0.121799    0.295177
         0.313611    0.386588    0.435733


 k=(    0.444444    0.555556    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.159160   -0.048532    0.108677    0.137721    0.270888
         0.318309    0.334971    0.493000


 k=(    0.333333    0.555556    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.153535   -0.039815    0.077098    0.118329    0.296339
         0.310080    0.390412    0.436770


 k=(    0.222222    0.555556    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.141169   -0.038533    0.059610    0.092183    0.275192
         0.343143    0.374023    0.467029


 k=(    0.111111    0.555556    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.121178   -0.061760    0.071349    0.079773    0.257171
         0.270601    0.453414    0.522007


 k=(    0.000000    0.555556    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.095273   -0.091832    0.067483    0.095523    0.232963
         0.254407    0.524785    0.536882


 k=(    0.111111    0.444444    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.120759   -0.062526    0.071495    0.080072    0.256925
         0.270723    0.454645    0.522233


 k=(    0.222222    0.444444    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.140884   -0.039217    0.058869    0.093525    0.274922
         0.343131    0.375413    0.465569


 k=(    0.333333    0.444444    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.153366   -0.040093    0.075516    0.120326    0.295334
         0.312258    0.388397    0.436839


 k=(    0.444444    0.444444    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.159104   -0.048600    0.107165    0.139480    0.271222
         0.319836    0.332601    0.492860


 k=(    0.444444    0.444444    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.171049   -0.029511    0.115570    0.134831    0.271502
         0.318922    0.341215    0.444057


 k=(    0.333333    0.444444    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.180130   -0.013471    0.107864    0.148646    0.277095
         0.325122    0.331529    0.464539


 k=(    0.222222    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.179547    0.003267    0.084135    0.129647    0.293851
         0.322868    0.374348    0.392125


 k=(    0.111111    0.444444    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.168786   -0.002570    0.081848    0.104220    0.263500
         0.302306    0.388493    0.452534


 k=(    0.000000    0.444444    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.148184   -0.031669    0.076473    0.102469    0.236801
         0.270672    0.464978    0.469129


 k=(   -0.111111    0.444444    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.119967   -0.063908    0.070765    0.081594    0.256470
         0.270907    0.456800    0.522578


 k=(   -0.222222    0.444444    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.106147   -0.074993    0.050398    0.079414    0.267585
         0.333393    0.436961    0.445966


 k=(    0.666667    0.444444    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.130159   -0.051220    0.045408    0.096474    0.284951
         0.359097    0.421133    0.435135


 k=(    0.555556    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.153636   -0.039376    0.075771    0.119371    0.296940
         0.310785    0.388635    0.434596


 k=(    0.444444    0.333333    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.180238   -0.013144    0.109355    0.146454    0.276876
         0.324692    0.332862    0.464305


 k=(    0.333333    0.333333    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.194562    0.003888    0.148666    0.153667    0.252980
         0.319333    0.324541    0.480897


 k=(    0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.198593    0.024987    0.133415    0.135421    0.275803
         0.318759    0.353233    0.395288


 k=(    0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.191808    0.033162    0.109333    0.115390    0.249082
         0.316233    0.390830    0.403851


 k=(    0.000000    0.333333    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.174416    0.005640    0.101410    0.108151    0.224822
         0.272979    0.455283    0.455470


 k=(   -0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.147976   -0.032965    0.084753    0.095795    0.231043
         0.275697    0.466835    0.472671


 k=(   -0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.121241   -0.063017    0.053000    0.099338    0.237880
         0.332742    0.458833    0.461736


 k=(    0.666667    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.129665   -0.051580    0.037998    0.111437    0.251857
         0.411159    0.433431    0.444370


 k=(    0.555556    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.157122   -0.027483    0.057822    0.129507    0.272797
         0.370998    0.376043    0.457078


 k=(    0.444444    0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.179726    0.004201    0.084395    0.128274    0.295045
         0.321866    0.373740    0.391759


 k=(    0.333333    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.198641    0.025394    0.131449    0.136898    0.276047
         0.320110    0.351692    0.393967


 k=(    0.222222    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.207201    0.046264    0.115699    0.165516    0.288694
         0.321223    0.331468    0.416761


 k=(    0.111111    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.204726    0.052093    0.107392    0.146330    0.282514
         0.330340    0.358400    0.375533


 k=(    0.000000    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.191272    0.028420    0.106862    0.122687    0.251952
         0.312382    0.392893    0.406152


 k=(   -0.111111    0.222222    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.167839   -0.007338    0.081942    0.109147    0.262158
         0.301956    0.393907    0.452234


 k=(   -0.222222    0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.138772   -0.044987    0.061825    0.094636    0.274457
         0.343596    0.377942    0.469200


 k=(    0.666667    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.127944   -0.056219    0.048261    0.096435    0.284740
         0.363585    0.416579    0.435041


 k=(    0.555556    0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152726   -0.025024    0.051460    0.110490    0.302430
         0.342620    0.374270    0.444989


 k=(    0.444444    0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.168998   -0.001479    0.082007    0.102942    0.264035
         0.302074    0.387131    0.452642


 k=(    0.333333    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.191855    0.033730    0.107213    0.116865    0.249803
         0.315722    0.390427    0.402953


 k=(    0.222222    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.204720    0.051940    0.107559    0.146381    0.282548
         0.330419    0.358164    0.375345


 k=(    0.111111    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.206602    0.039385    0.122816    0.164033    0.291907
         0.327886    0.331307    0.412417


 k=(    0.000000    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.197405    0.016662    0.133109    0.143314    0.280570
         0.323846    0.354395    0.388305


 k=(   -0.111111    0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.177774   -0.005561    0.084585    0.137696    0.296739
         0.330402    0.367904    0.390287


 k=(   -0.222222    0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.150066   -0.033064    0.050772    0.117729    0.308829
         0.340474    0.373702    0.443837


 k=(   -0.333333    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.126170   -0.058947    0.044837    0.101015    0.291636
         0.355411    0.414124    0.435431


 k=(    0.555556    0.111111    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.140033   -0.041227    0.058175    0.095038    0.281497
         0.336961    0.372619    0.468023


 k=(    0.444444    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.148360   -0.031218    0.077070    0.101610    0.236009
         0.271440    0.464014    0.469132


 k=(    0.333333    0.000000    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.174388    0.005390    0.102636    0.107247    0.224956
         0.272719    0.455095    0.455489


 k=(    0.222222    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.191197    0.027519    0.108900    0.121764    0.251383
         0.312480    0.392969    0.407305


 k=(    0.111111    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.197346    0.016198    0.134063    0.142994    0.280361
         0.322031    0.356243    0.389583


 k=(    0.000000    0.000000    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.192591   -0.005814    0.150327    0.160155    0.256606
         0.321328    0.331730    0.480602


 k=(   -0.111111    0.000000    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.177401   -0.024002    0.110523    0.154702    0.280576
         0.327714    0.336875    0.461113


 k=(   -0.222222    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.153253   -0.039050    0.059368    0.136794    0.278933
         0.372499    0.376981    0.451791


 k=(   -0.333333    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.124957   -0.059933    0.035635    0.117954    0.258164
         0.403782    0.427424    0.449356


 k=(    0.555556    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.120124   -0.063800    0.046528    0.105375    0.244197
         0.326744    0.453470    0.459326


 k=(    0.444444   -0.111111    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.119799   -0.064240    0.071371    0.081213    0.256975
         0.270308    0.456857    0.522779


 k=(    0.333333   -0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.147683   -0.033860    0.084332    0.096960    0.231938
         0.274619    0.467017    0.473451


 k=(    0.222222   -0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.167569   -0.008705    0.082441    0.110097    0.262010
         0.301611    0.395279    0.452142


 k=(    0.111111   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.177565   -0.006565    0.084658    0.138826    0.295770
         0.331059    0.368532    0.390673


 k=(    0.000000   -0.111111    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.177279   -0.024357    0.109496    0.156409    0.280841
         0.328076    0.335600    0.462013


 k=(   -0.111111   -0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.167188   -0.041440    0.126008    0.132673    0.274206
         0.317855    0.352612    0.443944


 k=(   -0.222222   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148682   -0.052319    0.081615    0.121861    0.299302
         0.314005    0.394619    0.433984


 k=(   -0.333333   -0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.124263   -0.062781    0.046889    0.100927    0.291409
         0.358779    0.410929    0.435966


 k=(    0.555556   -0.111111    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.099319   -0.083101    0.046086    0.085121    0.273688
         0.327218    0.435900    0.446302


 k=(    0.444444   -0.222222    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.104803   -0.076722    0.049645    0.080601    0.268827
         0.332031    0.436784    0.446172


 k=(    0.333333   -0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.120032   -0.065021    0.052666    0.100536    0.239096
         0.331440    0.458939    0.462292


 k=(    0.222222   -0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.137933   -0.046972    0.061547    0.096255    0.275463
         0.342327    0.379120    0.468906


 k=(    0.111111   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.149484   -0.034759    0.050863    0.118968    0.310401
         0.339996    0.373365    0.443438


 k=(    0.000000   -0.222222    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.152878   -0.039892    0.058695    0.138159    0.280400
         0.371801    0.375442    0.452336


 k=(   -0.111111   -0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148500   -0.052588    0.080097    0.123733    0.298434
         0.316040    0.392688    0.434094


 k=(   -0.222222   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.138376   -0.059719    0.069664    0.118750    0.262056
         0.377636    0.393335    0.418817


 k=(    0.333333    0.222222    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.125396   -0.061151    0.049073    0.098116    0.287463
         0.363427    0.411834    0.436531


 k=(    0.444444    0.222222    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.111695   -0.067650    0.049682    0.070568    0.335787
         0.340006    0.362692    0.427317


 k=(    0.444444    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.129683   -0.051989    0.044231    0.098104    0.286207
         0.358405    0.420619    0.434949


 k=(    0.333333    0.666667    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.128744   -0.053331    0.037586    0.112798    0.253139
         0.409342    0.432102    0.445246


 k=(    0.222222    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.126617   -0.058716    0.047987    0.098021    0.285966
         0.364493    0.414692    0.434563


 k=(    0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.124773   -0.061463    0.044712    0.102369    0.292973
         0.356196    0.412575    0.434615


 k=(    0.000000   -0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.123933   -0.061629    0.035258    0.119024    0.259599
         0.402306    0.426085    0.451280


 k=(   -0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.123779   -0.063409    0.045723    0.102320    0.292868
         0.357907    0.410969    0.434865


 k=(    0.222222    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.125305   -0.061209    0.048428    0.098799    0.287389
         0.364379    0.412277    0.435371


 k=(    0.333333    0.333333    0.666667):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.127794   -0.055109    0.037253    0.114029    0.254535
         0.407408    0.430662    0.446611


 k=(    0.444444    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.129347   -0.052560    0.043659    0.098940    0.287727
         0.356595    0.419616    0.435684


 k=(    0.444444    0.555556    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.153466   -0.039650    0.074221    0.121354    0.295891
         0.312959    0.386692    0.434648


 k=(    0.333333    0.555556    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.156783   -0.028326    0.056938    0.131200    0.274080
         0.370343    0.374561    0.457125


 k=(    0.222222    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152213   -0.026662    0.051322    0.111976    0.303799
         0.341934    0.374380    0.444763


 k=(    0.111111    0.555556    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.139317   -0.042967    0.057786    0.096584    0.282549
         0.335897    0.373661    0.467672


 k=(    0.000000    0.555556    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.119120   -0.065370    0.046133    0.106288    0.245540
         0.325521    0.454048    0.459288


 k=(   -0.111111    0.555556    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.097827   -0.084694    0.045202    0.086068    0.275051
         0.325969    0.435551    0.446324


 k=(    0.222222    0.444444    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.111851   -0.067374    0.049429    0.070670    0.334581
         0.341480    0.362506    0.427165


 k=(    0.333333    0.444444    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.129492   -0.052351    0.044163    0.098259    0.287891
         0.355594    0.419280    0.436363


 k=(    0.555556    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143758   -0.046882    0.061082    0.119863    0.262422
         0.371962    0.383489    0.422866


 k=(    0.444444    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164750   -0.015565    0.078689    0.114622    0.257131
         0.350411    0.382233    0.396024


 k=(    0.333333    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.179569    0.003730    0.082346    0.131173    0.294280
         0.324913    0.372954    0.388164


 k=(    0.222222    0.444444    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.184362    0.012835    0.072811    0.148347    0.291651
         0.355247    0.360250    0.408025


 k=(    0.111111    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.178714   -0.001389    0.086773    0.130651    0.299349
         0.324044    0.368407    0.393316


 k=(    0.000000    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162951   -0.022330    0.079395    0.119169    0.261591
         0.345889    0.383457    0.398718


 k=(   -0.111111    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.138447   -0.044824    0.055744    0.100229    0.281510
         0.336061    0.377570    0.464258


 k=(   -0.222222    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.110138   -0.069877    0.048056    0.072987    0.332528
         0.344986    0.362735    0.425422


 k=(    0.666667    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.113424   -0.064939    0.050566    0.068561    0.337226
         0.337527    0.361984    0.429090


 k=(    0.555556    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.141320   -0.037789    0.057404    0.093721    0.277879
         0.339934    0.373510    0.465420


 k=(    0.444444    0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.179738    0.004456    0.083435    0.129068    0.295264
         0.322875    0.373022    0.389830


 k=(    0.333333    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.198691    0.025843    0.129952    0.137842    0.276288
         0.321752    0.349865    0.392675


 k=(    0.222222    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.207291    0.047060    0.116468    0.163374    0.288487
         0.322896    0.330521    0.416353


 k=(    0.111111    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.204858    0.053932    0.106897    0.144597    0.282892
         0.329851    0.357753    0.375827


 k=(    0.000000    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.191455    0.030309    0.104686    0.122807    0.252116
         0.312773    0.392067    0.404579


 k=(   -0.111111    0.333333    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.168083   -0.006101    0.081560    0.108255    0.262470
         0.302008    0.392552    0.452225


 k=(   -0.222222    0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.139063   -0.044352    0.062643    0.093295    0.274693
         0.343587    0.376615    0.470615


 k=(    0.666667    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.128042   -0.056136    0.048919    0.095714    0.284816
         0.362580    0.416107    0.436341


 k=(    0.555556    0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152713   -0.025086    0.051515    0.110503    0.302368
         0.342851    0.374056    0.444851


 k=(    0.444444    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.184652    0.014647    0.072689    0.146459    0.290466
         0.356644    0.359683    0.408548


 k=(    0.333333    0.222222    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.207378    0.047795    0.117529    0.160987    0.288361
         0.325201    0.328890    0.416038


 k=(    0.222222    0.222222    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.220022    0.071884    0.159946    0.165124    0.266381
         0.316804    0.321268    0.422810


 k=(    0.111111    0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.221513    0.092214    0.144571    0.152425    0.274579
         0.319085    0.346582    0.374642


 k=(    0.000000    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.211712    0.077057    0.126999    0.135165    0.245065
         0.327090    0.383490    0.384331


 k=(   -0.111111    0.222222    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.191277    0.027929    0.114696    0.115857    0.248523
         0.314801    0.393514    0.408439


 k=(   -0.222222    0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162989   -0.023351    0.088776    0.111275    0.254274
         0.351991    0.384189    0.404911


 k=(   -0.333333    0.222222    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140985   -0.054297    0.069170    0.116273    0.259476
         0.376514    0.392716    0.421751


 k=(    0.555556    0.222222    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.155917   -0.032018    0.061467    0.129017    0.272704
         0.373618    0.380963    0.453780


 k=(    0.444444    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.179099    0.000544    0.086826    0.128731    0.298991
         0.322262    0.369575    0.393662


 k=(    0.333333    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.204983    0.055586    0.106830    0.142663    0.283374
         0.329362    0.356933    0.375977


 k=(    0.222222    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.221539    0.092853    0.145740    0.150434    0.274781
         0.319931    0.345456    0.373967


 k=(    0.111111    0.111111    0.222222):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.227076    0.105400    0.142734    0.178120    0.300035
         0.306300    0.310198    0.383992


 k=(    0.000000    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.221219    0.084677    0.149760    0.155492    0.276526
         0.321027    0.346250    0.373498


 k=(   -0.111111    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.204335    0.047555    0.107303    0.152219    0.281313
         0.330649    0.361167    0.375420


 k=(   -0.222222    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.178155   -0.004009    0.085552    0.135516    0.293253
         0.326559    0.372770    0.395695


 k=(   -0.333333    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.150516   -0.047723    0.078760    0.122092    0.296271
         0.314482    0.391884    0.436872


 k=(    0.555556    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.151264   -0.045933    0.079612    0.119543    0.300402
         0.310811    0.392849    0.430633


 k=(    0.444444    0.000000    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163404   -0.020680    0.079077    0.118289    0.260337
         0.347087    0.382719    0.398474


 k=(    0.333333    0.000000    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.191562    0.031237    0.104652    0.121949    0.251721
         0.313291    0.391245    0.404237


 k=(    0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.211705    0.076655    0.128506    0.134160    0.245132
         0.326856    0.383526    0.384105


 k=(    0.111111    0.000000    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.221188    0.083865    0.149647    0.156755    0.276361
         0.320071    0.347268    0.373889


 k=(    0.000000    0.000000    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.219355    0.062339    0.162603    0.172809    0.270675
         0.317196    0.325518    0.418698


 k=(   -0.111111    0.000000    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.206332    0.037439    0.119609    0.171033    0.292050
         0.321685    0.335841    0.413331


 k=(   -0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.183184    0.006112    0.073087    0.155593    0.296141
         0.350294    0.362820    0.405943


 k=(   -0.333333    0.000000    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.154158   -0.036045    0.057065    0.137157    0.278977
         0.369680    0.374496    0.454773


 k=(    0.555556    0.000000    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140395   -0.054434    0.061753    0.123694    0.265859
         0.372987    0.384996    0.419173


 k=(    0.444444   -0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.138877   -0.043766    0.055463    0.099963    0.280150
         0.337142    0.377901    0.463218


 k=(    0.333333   -0.111111    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.168056   -0.006295    0.081827    0.108223    0.262632
         0.301729    0.392598    0.452028


 k=(    0.222222   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.191141    0.026680    0.114909    0.116996    0.249068
         0.313877    0.393966    0.409071


 k=(    0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.204195    0.045840    0.107869    0.153814    0.281057
         0.330672    0.361990    0.375283


 k=(    0.000000   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.206237    0.036689    0.119043    0.172937    0.292304
         0.320067    0.336768    0.413755


 k=(   -0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.197182    0.015025    0.135830    0.142798    0.279720
         0.317958    0.360479    0.393540


 k=(   -0.222222   -0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.177678   -0.006611    0.087856    0.135215    0.295991
         0.326040    0.370626    0.397829


 k=(   -0.333333   -0.111111    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.150030   -0.033214    0.050891    0.117774    0.308574
         0.341162    0.373187    0.443370


 k=(   -0.444444   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.125605   -0.059621    0.042829    0.103554    0.290968
         0.359166    0.415899    0.432901


 k=(    0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.109964   -0.070169    0.048278    0.072913    0.333074
         0.344117    0.362984    0.425564


 k=(    0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.138523   -0.045731    0.063182    0.093608    0.275950
         0.342285    0.376510    0.471622


 k=(    0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162482   -0.025160    0.088917    0.112553    0.255438
         0.350573    0.384660    0.405616


 k=(    0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.177739   -0.006017    0.085858    0.137169    0.293836
         0.327987    0.371640    0.395360


 k=(    0.000000   -0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.182876    0.004387    0.073401    0.157137    0.297577
         0.348764    0.363698    0.405341


 k=(   -0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.177500   -0.007292    0.086981    0.137002    0.295246
         0.327698    0.370592    0.396431


 k=(   -0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.161972   -0.026932    0.089191    0.113611    0.256701
         0.349136    0.385319    0.406114


 k=(   -0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.137684   -0.047696    0.062884    0.095197    0.277052
         0.340965    0.377701    0.471314


 k=(   -0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.108902   -0.071714    0.048054    0.073684    0.333794
         0.343802    0.363449    0.424633


 k=(    0.444444    0.666667    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.112525   -0.066377    0.050165    0.069587    0.336342
         0.338859    0.362368    0.428283


 k=(    0.333333    0.666667    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.126807   -0.058575    0.049287    0.096620    0.286116
         0.362533    0.413777    0.437030


 k=(   -0.222222    0.333333   -0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139716   -0.056983    0.069368    0.117596    0.260707
         0.376956    0.393149    0.420325


 k=(    0.111111   -0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149439   -0.050280    0.078682    0.123867    0.296881
         0.316276    0.391311    0.435567


 k=(    0.000000   -0.333333    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.153342   -0.038392    0.057558    0.138346    0.280420
         0.370293    0.374260    0.453956


 k=(   -0.111111   -0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.149470   -0.034814    0.050906    0.118985    0.310292
         0.340266    0.373176    0.443255


 k=(   -0.222222   -0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.137386   -0.048304    0.062067    0.096503    0.276802
         0.340997    0.378983    0.470016


 k=(   -0.333333   -0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.118779   -0.067033    0.052376    0.101605    0.240410
         0.330093    0.459730    0.462176


 k=(   -0.444444   -0.333333    0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.103475   -0.078363    0.048889    0.081685    0.270168
         0.330638    0.436184    0.446686


 k=(    0.444444    0.555556    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.141035   -0.038476    0.056726    0.095013    0.277566
         0.339959    0.374873    0.464043


 k=(    0.333333    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152179   -0.026824    0.051462    0.112013    0.303620
         0.342557    0.373822    0.444374


 k=(    0.222222    0.555556    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.155138   -0.034359    0.061744    0.130532    0.273962
         0.374157    0.380896    0.452448


 k=(    0.111111    0.555556    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.150233   -0.048430    0.079379    0.121444    0.300661
         0.312978    0.392339    0.429273


 k=(    0.000000    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139159   -0.057042    0.062153    0.124676    0.267236
         0.373823    0.384956    0.417784


 k=(    0.111111    0.444444   -0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.124354   -0.061932    0.043200    0.104237    0.292468
         0.358941    0.413950    0.432832


 k=(    0.222222    0.444444   -0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.107947   -0.073035    0.047611    0.074533    0.333853
         0.344453    0.363656    0.423592


 k=(    0.333333    0.444444   -0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.103585   -0.078212    0.048827    0.081692    0.270181
         0.330670    0.435625    0.447109


 k=(    0.555556    0.555556    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.123035   -0.059015    0.047980    0.101930    0.240751
         0.330116    0.453643    0.457524


 k=(    0.444444    0.444444    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.148997   -0.029415    0.079017    0.098279    0.233737
         0.273953    0.464388    0.466010


 k=(    0.333333    0.444444    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.168744   -0.002902    0.082375    0.104088    0.263780
         0.301840    0.388560    0.452237


 k=(    0.222222    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.178658   -0.002038    0.088826    0.129167    0.298915
         0.322052    0.369709    0.396939


 k=(    0.111111    0.444444    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.178340   -0.020859    0.114492    0.146892    0.279134
         0.326227    0.339552    0.461225


 k=(    0.000000    0.444444    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.168243   -0.038133    0.116304    0.140157    0.274759
         0.323105    0.343351    0.439203


 k=(   -0.111111    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149699   -0.049212    0.074964    0.127073    0.297748
         0.319096    0.386888    0.429599


 k=(   -0.222222    0.444444    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.125117   -0.060791    0.044241    0.102798    0.289372
         0.362620    0.415120    0.432326


 k=(    0.666667    0.444444    0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.101030   -0.081157    0.046793    0.084191    0.272304
         0.328613    0.435351    0.446850


 k=(    0.555556    0.444444    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.121344   -0.061516    0.072723    0.078311    0.258367
         0.269392    0.452270    0.522058


 k=(    0.444444    0.333333    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.168983   -0.001607    0.082220    0.102881    0.264143
         0.301896    0.387155    0.452533


 k=(    0.333333    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.191907    0.034428    0.105204    0.118068    0.250529
         0.315236    0.390340    0.401764


 k=(    0.222222    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.204849    0.053670    0.107189    0.144669    0.282951
         0.329983    0.357365    0.375530


 k=(    0.111111    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.206815    0.041466    0.122256    0.162241    0.290936
         0.327503    0.331164    0.412958


 k=(    0.000000    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.197716    0.018852    0.130771    0.143527    0.279726
         0.324677    0.352250    0.388174


 k=(   -0.111111    0.333333    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.178202   -0.003309    0.083384    0.136821    0.296261
         0.329986    0.368373    0.388705


 k=(   -0.222222    0.333333    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.150626   -0.031392    0.050673    0.116533    0.307050
         0.341393    0.373721    0.444071


 k=(   -0.333333    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.126636   -0.058294    0.045961    0.099618    0.290114
         0.356309    0.414314    0.436324


 k=(    0.555556    0.333333    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.140029   -0.041490    0.059811    0.093662    0.280189
         0.338490    0.372298    0.469504


 k=(    0.444444    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.179074    0.000218    0.087892    0.127946    0.298774
         0.321273    0.370241    0.395481


 k=(    0.333333    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.204980    0.055482    0.106950    0.142685    0.283398
         0.329413    0.356783    0.375867


 k=(    0.222222    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.221565    0.093652    0.146530    0.148637    0.274960
         0.320937    0.344226    0.373327


 k=(    0.111111    0.222222    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.227135    0.107574    0.142099    0.175924    0.299484
         0.307877    0.309225    0.383852


 k=(    0.000000    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.221313    0.087075    0.147367    0.155076    0.276273
         0.321713    0.345050    0.373106


 k=(   -0.111111    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.204470    0.049254    0.106705    0.150746    0.281594
         0.330529    0.360245    0.375476


 k=(   -0.222222    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.178332   -0.003289    0.086383    0.133731    0.293960
         0.324861    0.372883    0.397136


 k=(   -0.333333    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.150692   -0.047450    0.080298    0.120188    0.297084
         0.312471    0.393892    0.436766


 k=(    0.555556    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.151278   -0.046063    0.081199    0.117964    0.301019
         0.308925    0.394744    0.431622


 k=(    0.444444    0.111111    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.178915   -0.018682    0.114359    0.145170    0.278331
         0.325151    0.339238    0.462022


 k=(    0.333333    0.111111    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.207025    0.043542    0.121940    0.160166    0.290125
         0.327994    0.330070    0.413524


 k=(    0.222222    0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.227192    0.109679    0.141936    0.173308    0.299522
         0.307841    0.309333    0.383664


 k=(    0.111111    0.111111    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.236614    0.147283    0.173359    0.178983    0.281504
         0.300601    0.304172    0.348385


 k=(    0.000000    0.111111    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.234590    0.145943    0.160176    0.171852    0.273027
         0.319567    0.323382    0.339831


 k=(   -0.111111    0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.221239    0.085428    0.144045    0.161208    0.274870
         0.317391    0.350008    0.375832


 k=(   -0.222222    0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.197701    0.018546    0.133158    0.142230    0.277627
         0.316656    0.359504    0.395883


 k=(   -0.333333    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.168714   -0.037011    0.125585    0.130141    0.272276
         0.315662    0.351791    0.446564


 k=(    0.555556    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.156077   -0.056035    0.115987    0.134278    0.271867
         0.317435    0.343479    0.496466


 k=(    0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.168974   -0.035959    0.115681    0.139356    0.273839
         0.321451    0.343418    0.440496


 k=(    0.333333    0.000000    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.197962    0.020571    0.129814    0.142966    0.278763
         0.323585    0.352039    0.389293


 k=(    0.222222    0.000000    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.221376    0.088613    0.146141    0.154663    0.275911
         0.321381    0.344923    0.373104


 k=(    0.111111    0.000000    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.234589    0.144799    0.162426    0.170850    0.272973
         0.320208    0.322636    0.339783


 k=(    0.000000    0.000000    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.236471    0.135374    0.177617    0.188989    0.286851
         0.297385    0.303408    0.345915


 k=(   -0.111111    0.000000    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.226900    0.100510    0.142116    0.185948    0.298224
         0.305474    0.312483    0.384326


 k=(   -0.222222    0.000000    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.206577    0.040087    0.116890    0.171692    0.290633
         0.318940    0.336018    0.415122


 k=(   -0.333333    0.000000    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.178349   -0.020308    0.107294    0.155685    0.279356
         0.325013    0.334965    0.463230


 k=(   -0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155778   -0.056380    0.107490    0.144039    0.273347
         0.321861    0.335082    0.495222


 k=(    0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.150562   -0.046988    0.073655    0.127148    0.296440
         0.319103    0.385449    0.431019


 k=(    0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.178418   -0.002095    0.082337    0.137012    0.294924
         0.330242    0.369466    0.387384


 k=(    0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.204464    0.049113    0.106849    0.150810    0.281623
         0.330598    0.360026    0.375284


 k=(    0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.221170    0.083716    0.145527    0.161697    0.275264
         0.317594    0.350043    0.375551


 k=(    0.000000   -0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.226839    0.098672    0.142759    0.187884    0.298641
         0.304080    0.313433    0.384339


 k=(   -0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.221102    0.082100    0.147102    0.161946    0.275686
         0.317874    0.350046    0.375308


 k=(   -0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.204326    0.047343    0.107514    0.152329    0.281354
         0.330756    0.360826    0.375108


 k=(   -0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.178215   -0.003140    0.082489    0.138097    0.293979
         0.330963    0.370073    0.387713


 k=(   -0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.150400   -0.047391    0.073641    0.127539    0.295870
         0.319600    0.385319    0.432132


 k=(   -0.444444    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.125975   -0.059049    0.043330    0.102843    0.289393
         0.361038    0.416648    0.432441


 k=(   -0.333333    0.222222   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.150604   -0.031488    0.050750    0.116560    0.306910
         0.341807    0.373391    0.443794


 k=(   -0.222222    0.222222   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.178094   -0.004617    0.087566    0.133595    0.295285
         0.324632    0.371787    0.398200


 k=(   -0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.197442    0.016770    0.134231    0.142821    0.278629
         0.317230    0.360077    0.394714


 k=(    0.000000    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.206361    0.037990    0.117708    0.173283    0.291561
         0.318664    0.336893    0.414680


 k=(    0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.204192    0.045765    0.107942    0.153859    0.281070
         0.330711    0.361864    0.375164


 k=(    0.222222    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.191010    0.025510    0.115598    0.117538    0.249624
         0.313013    0.394617    0.409529


 k=(   -0.333333   -0.222222    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.167796   -0.007639    0.082347    0.109110    0.262412
         0.301515    0.393985    0.451910


 k=(   -0.444444   -0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.138579   -0.044662    0.056282    0.099926    0.278623
         0.338628    0.378956    0.463270


 k=(    0.555556    0.333333   -0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.100884   -0.081343    0.046850    0.084187    0.272291
         0.328583    0.435893    0.446445


 k=(   -0.333333    0.333333   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.125722   -0.060185    0.047003    0.099579    0.289993
         0.357961    0.412709    0.436630


 k=(   -0.222222    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149796   -0.049739    0.081738    0.120090    0.298557
         0.312236    0.395252    0.435348


 k=(   -0.111111    0.333333   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.167962   -0.039223    0.125328    0.131913    0.273198
         0.316624    0.352335    0.445283


 k=(    0.000000    0.333333   -0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.177760   -0.022513    0.107891    0.156920    0.280200
         0.326342    0.335022    0.463091


 k=(    0.111111    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.177791   -0.005357    0.083609    0.139034    0.294350
         0.331363    0.369596    0.389429


 k=(    0.222222    0.333333   -0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.167553   -0.008815    0.082585    0.110089    0.262103
         0.301448    0.395309    0.452018


 k=(    0.333333    0.333333   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.147407   -0.034676    0.083956    0.097975    0.232872
         0.273557    0.467545    0.473920


 k=(    0.444444    0.333333   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.119266   -0.065188    0.071828    0.081295    0.257034
         0.270090    0.458068    0.522986


 k=(    0.444444    0.555556    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.120926   -0.062281    0.072692    0.078793    0.258088
         0.269535    0.453493    0.522315


 k=(    0.333333    0.555556    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.139285   -0.043547    0.061057    0.093873    0.280000
         0.338744    0.373138    0.470634


 k=(    0.222222    0.555556    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.150253   -0.048695    0.082477    0.118368    0.301711
         0.309403    0.395988    0.431346


 k=(    0.111111    0.555556    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.154858   -0.058737    0.115989    0.135853    0.272708
         0.318496    0.343896    0.497393


 k=(    0.000000    0.444444   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.154552   -0.059088    0.108017    0.145031    0.274204
         0.323858    0.334592    0.496017


 k=(    0.111111    0.444444   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149361   -0.050020    0.074910    0.127871    0.296582
         0.320099    0.386571    0.431919


 k=(    0.222222    0.444444   -0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.137821   -0.046643    0.057381    0.100160    0.278502
         0.338873    0.379730    0.464485


 k=(    0.333333    0.444444   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.118838   -0.065917    0.071790    0.081722    0.256779
         0.270244    0.459191    0.522986


 k=(    0.444444    0.444444   -0.111111):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.098381   -0.088801    0.071864    0.091396    0.228119
         0.258971    0.527562    0.537850


 k=(    0.444444    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.124036   -0.062952    0.090113    0.092480    0.220623
         0.235931    0.530323    0.530551


 k=(    0.333333    0.444444    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.147914   -0.032846    0.079579    0.100650    0.234767
         0.272213    0.464830    0.471806


 k=(    0.222222    0.444444    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162733   -0.023644    0.082941    0.117046    0.258878
         0.348238    0.382873    0.402207


 k=(    0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.168120   -0.038613    0.118925    0.137948    0.274084
         0.319566    0.347951    0.441547


 k=(    0.000000    0.444444    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.164866   -0.053513    0.142114    0.154030    0.248248
         0.315058    0.328237    0.485659


 k=(   -0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.154674   -0.058945    0.110487    0.142137    0.273523
         0.320448    0.339640    0.496460


 k=(    0.222222    0.555556    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139354   -0.057077    0.064750    0.122276    0.264289
         0.374909    0.389012    0.418397


 k=(    0.333333    0.555556    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.119346   -0.065494    0.048643    0.104342    0.242668
         0.328087    0.455450    0.460953


 k=(    0.555556    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.095451   -0.091803    0.069552    0.093796    0.230223
         0.256895    0.526665    0.537333


 k=(    0.444444    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.148237   -0.031768    0.078579    0.100707    0.234946
         0.272276    0.463928    0.470480


 k=(    0.333333    0.333333    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.174372    0.005241    0.103717    0.106358    0.225037
         0.272563    0.455043    0.455439


 k=(    0.222222    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.191312    0.028502    0.108687    0.121016    0.250915
         0.313106    0.392097    0.407015


 k=(    0.111111    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.197598    0.017907    0.132630    0.142940    0.279295
         0.320991    0.356061    0.390723


 k=(    0.000000    0.333333    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.193000   -0.003866    0.148498    0.160496    0.255756
         0.319226    0.331946    0.480359


 k=(   -0.111111    0.333333    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.178000   -0.021796    0.109896    0.153546    0.279647
         0.325740    0.337474    0.461254


 k=(   -0.222222    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.154083   -0.036680    0.058859    0.135628    0.277422
         0.371548    0.377557    0.452758


 k=(   -0.333333    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.125969   -0.058189    0.035947    0.116897    0.256676
         0.405524    0.428881    0.447388


 k=(    0.555556    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.120261   -0.063814    0.047752    0.104407    0.242737
         0.328076    0.454129    0.460157


 k=(    0.444444    0.222222    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163301   -0.021338    0.080840    0.117240    0.258955
         0.348392    0.382282    0.400262


 k=(    0.333333    0.222222    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.191493    0.030333    0.106630    0.121064    0.251088
         0.313527    0.391196    0.405521


 k=(    0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.211701    0.076419    0.129769    0.133194    0.245172
         0.326717    0.383642    0.383874


 k=(    0.111111    0.222222    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.221252    0.085373    0.147903    0.156880    0.275954
         0.319709    0.347211    0.373964


 k=(    0.000000    0.222222    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.219491    0.064226    0.160523    0.172965    0.269660
         0.315734    0.326076    0.419537


 k=(   -0.111111    0.222222    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.206549    0.039537    0.118758    0.169518    0.291017
         0.321700    0.335293    0.413793


 k=(   -0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.183491    0.007916    0.072689    0.154073    0.294616
         0.351954    0.361939    0.406556


 k=(   -0.333333    0.222222    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.154524   -0.035173    0.057692    0.135806    0.277446
         0.370224    0.376267    0.454125


 k=(    0.555556    0.222222    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140495   -0.054445    0.063040    0.122503    0.264358
         0.373563    0.387063    0.419428


 k=(    0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.168915   -0.036199    0.116958    0.138285    0.273494
         0.319662    0.345761    0.441650


 k=(    0.333333    0.111111    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.197905    0.020089    0.130772    0.142646    0.278541
         0.321713    0.354003    0.390563


 k=(    0.222222    0.111111    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.221345    0.087719    0.146632    0.155366    0.275756
         0.320330    0.346069    0.373572


 k=(    0.111111    0.111111    0.000000):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.234588    0.144207    0.163943    0.169988    0.272940
         0.321006    0.321775    0.339754


 k=(    0.000000    0.111111    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.236500    0.137605    0.175137    0.188866    0.285500
         0.297036    0.304755    0.346408


 k=(   -0.111111    0.111111    0.000000):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.226961    0.102538    0.141210    0.184128    0.297651
         0.307200    0.311331    0.384292


 k=(   -0.222222    0.111111    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.206671    0.040887    0.117374    0.169831    0.290345
         0.320381    0.335318    0.414657


 k=(   -0.333333    0.111111    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.178467   -0.019946    0.108274    0.154016    0.279069
         0.324662    0.336251    0.462298


 k=(   -0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155837   -0.056309    0.108700    0.142617    0.272997
         0.320173    0.337603    0.495395


 k=(   -0.444444    0.000000    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.165879   -0.051040    0.141000    0.153768    0.247534
         0.313788    0.327558    0.484801


 k=(   -0.333333    0.000000    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.193403   -0.001916    0.147277    0.160150    0.254975
         0.317998    0.331315    0.480614


 k=(   -0.222222    0.000000    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.219626    0.066135    0.159047    0.172433    0.268729
         0.314969    0.325931    0.420360


 k=(   -0.111111    0.000000    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.236529    0.139965    0.173155    0.188067    0.284280
         0.297270    0.305438    0.346888


 k=(    0.000000    0.000000    0.000000):       259 3-d basis functions
 the   8 eigenvalues are:
        -0.242293    0.180103    0.186095    0.198929    0.283484
         0.290094    0.293561    0.303215


 fermi energy and band-weighting factors:

FERMIE:
          first approx. to ef    (T=0)  :  0.198929 htr   (energy of the highest occ. eigenvalue)
          number of occ. states  (T=0)  :      1460
          first approx. to seigv (T=0)  :  0.059920 htr
          sum of weights of occ. states :  4.000000
          sum of semicore eigenvalues   :  0.000000 htr
          sum of semicore charge        :  0.000000 e



FERHIS:  Fermi-Energy by histogram:

          bandgap                     :   0.020997 htr
          charge neutrality (T=0)     :   0.000000    (zero if the highest occ. eigenvalue is "entirely" occupied)

          no eigenvalues within 8 tkb of ef reverts to the t=0 k method.
          number of occ. states       :      1460
          sum of the valence weights  :   4.000000
          entropy         :   0.000000 *kb htr/K =   0.00000 htr/K

          sum of val. single particle energies:         0.0599196806 htr



          valence density: spin= 1

     l-like charge
     atom     s        p        d        f        total
 --> 1    0.90269  1.19141  0.08502  0.00643    2.18738
 --> 2    0.90269  1.19141  0.08502  0.00643    2.18738
 Energy Parameters for spin:           1
 Max. mismatch of energy parameters:    0.000000

     energy parameters for window 1
     atom     s        p        d        f
 -->  1   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0
 -->  2   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0

          total charge for spin  1=    8.000000
          interst. charge =       3.625249
          mt charge=              2.187376    2.187376

          total charge  =    8.000000


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.2192        2.
               2.   0.   0.5   -4.7240        2.
               2.   1.   0.5   -3.1247        2.
               2.   1.   1.5   -3.1010        4.
          atom type  1  (spin 1) 
          kinetic energy=  0.285340112132E+03     sum of the eigenvalues= -0.158539689849E+03
          0.00180266  electrons lost from core.


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.2192        2.
               2.   0.   0.5   -4.7240        2.
               2.   1.   0.5   -3.1247        2.
               2.   1.   1.5   -3.1010        4.
          atom type  2  (spin 1) 
          kinetic energy=  0.285340112128E+03     sum of the eigenvalues= -0.158539689849E+03
          0.00180266  electrons lost from core.

          alpha=   1.39411     acoff=   0.09759

          alpha=   1.39411     acoff=   0.09759

          total charge for spin  1=   28.000000
          interst. charge =       3.628753
          mt charge=             12.185624   12.185624

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.628753
          mt charge=             12.185624   12.185624

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*



     t o t a l  e n e r g y

          sum of eigenvalues =              -317.0194600166

          density-coulomb potential int     -845.0633861465

          density-effective potential i     -898.9249169654

          charge density-ex.-corr.energ      -41.7055509411
 
 FORCES: EQUATION A3 FOR ATOM TYPE   1
 FX_A3= -0.016031  0.000000 FY_A3= -0.010270  0.000000 FZ_A3= -0.003931  0.000000
 FORCES: EQUATION A3 FOR ATOM TYPE   2
 FX_A3=  0.016031  0.000000 FY_A3=  0.010270  0.000000 FZ_A3=  0.003931  0.000000

          el.-nucl. inter. diff. m.t.        342.3024318270

          Madelung term for atom type:        -6.5697768373

          el.-nucl. inter. diff. m.t.        342.3024318270

          Madelung term for atom type:        -6.5697768373


 ----> total energy=                        -580.0762043942 htr

 ***** TOTAL FORCES ON ATOMS ***** 

 TOTAL FORCE FOR ATOM TYPE=  1  X=  1.292   Y=  1.292   Z=  1.292
                       FX_TOT=-0.016031 FY_TOT=-0.010270 FZ_TOT=-0.003931
 TOTAL FORCE FOR ATOM TYPE=  2  X= -1.369   Y= -1.344   Z= -1.318
                       FX_TOT= 0.016031 FY_TOT= 0.010270 FZ_TOT= 0.003931
eps_force= 0.00001max= 0.01603


 ---->(tkb*entropy) TS=                        0.0000000000 htr


 ----> free energy=                         -580.0762043942 htr


      extrapolation for T->0
 ----> total electron energy=               -580.0762043942 htr
 wrtdop title:alpha Si                                                                ordered*
 wrtdop title:alpha Si                                                                ordered*

----> distance of charge densities for spin  1        it=  1:   6.764971 me/bohr**3

          total charge for spin  1=   28.000000
          interst. charge =       3.769496
          mt charge=             12.115252   12.115252

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.769496
          mt charge=             12.115252   12.115252

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*

     ******* it=  1  is completed********



             it=        2

          total charge for spin  1=   28.000000
          interst. charge =       3.769496
          mt charge=             12.115252   12.115252

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.769496
          mt charge=             12.115252   12.115252

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*


          p o t e n t i a l   g e n e r a t o r


          multipole moments for atom type=    1

  l   m                   original                      plane wave
  0   0          -0.53168E+00    0.00000E+00         0.75573E+00   -0.83824E-16
  1   0           0.11168E-02    0.00000E+00         0.11020E-02   -0.45268E-16
  1   1          -0.31664E-02    0.20316E-02        -0.31183E-02    0.20012E-02
  1  -1           0.31664E-02    0.20316E-02         0.31183E-02    0.20012E-02
  1   1          -0.31664E-02    0.20316E-02        -0.31183E-02    0.20012E-02
  1  -1           0.31664E-02    0.20316E-02         0.31183E-02    0.20012E-02
  2   0           0.21336E-03    0.00000E+00         0.21211E-03    0.25831E-18
  2   1           0.55812E-02   -0.84695E-02         0.55494E-02   -0.84198E-02
  2  -1          -0.55812E-02   -0.84695E-02        -0.55494E-02   -0.84198E-02
  2   2          -0.11857E-03    0.26137E-02        -0.11788E-03    0.26014E-02
  2  -2          -0.11857E-03   -0.26137E-02        -0.11788E-03   -0.26014E-02
  2   1           0.55812E-02   -0.84695E-02         0.55494E-02   -0.84198E-02
  2  -1          -0.55812E-02   -0.84695E-02        -0.55494E-02   -0.84198E-02
  2   2          -0.11857E-03    0.26137E-02        -0.11788E-03    0.26014E-02
  2  -2          -0.11857E-03   -0.26137E-02        -0.11788E-03   -0.26014E-02
  3   0          -0.33423E-02    0.00000E+00        -0.33284E-02   -0.61285E-16
  3   1          -0.44025E-02    0.29386E-02        -0.43814E-02    0.29247E-02
  3  -1           0.44025E-02    0.29386E-02         0.43814E-02    0.29247E-02
  3   2          -0.41484E-05    0.15292E+00        -0.41048E-05    0.15252E+00
  3  -2          -0.41484E-05   -0.15292E+00        -0.41048E-05   -0.15252E+00
  3   3           0.56707E-02    0.37709E-02         0.56436E-02    0.37532E-02
  3  -3          -0.56707E-02    0.37709E-02        -0.56436E-02    0.37532E-02
  3   1          -0.44025E-02    0.29386E-02        -0.43814E-02    0.29247E-02
  3  -1           0.44025E-02    0.29386E-02         0.43814E-02    0.29247E-02
  3   2          -0.41484E-05    0.15292E+00        -0.41048E-05    0.15252E+00
  3  -2          -0.41484E-05   -0.15292E+00        -0.41048E-05   -0.15252E+00
  3   3           0.56707E-02    0.37709E-02         0.56436E-02    0.37532E-02
  3  -3          -0.56707E-02    0.37709E-02        -0.56436E-02    0.37532E-02
  4   0          -0.11070E+00    0.00000E+00        -0.11047E+00    0.37641E-16
  4   1          -0.18150E-03    0.35670E-03        -0.17806E-03    0.35111E-03
  4  -1           0.18150E-03    0.35670E-03         0.17806E-03    0.35111E-03
  4   2          -0.16611E-03   -0.11323E-03        -0.16562E-03   -0.11625E-03
  4  -2          -0.16611E-03    0.11323E-03        -0.16562E-03    0.11625E-03
  4   3          -0.52305E-03   -0.96798E-03        -0.51372E-03   -0.95304E-03
  4  -3           0.52305E-03   -0.96798E-03         0.51372E-03   -0.95304E-03
  4   4          -0.65877E-01   -0.46457E-05        -0.65745E-01   -0.46189E-05
  4  -4          -0.65877E-01    0.46457E-05        -0.65745E-01    0.46189E-05
  4   1          -0.18150E-03    0.35670E-03        -0.17806E-03    0.35111E-03
  4  -1           0.18150E-03    0.35670E-03         0.17806E-03    0.35111E-03
  4   2          -0.16611E-03   -0.11323E-03        -0.16562E-03   -0.11625E-03
  4  -2          -0.16611E-03    0.11323E-03        -0.16562E-03    0.11625E-03
  4   3          -0.52305E-03   -0.96798E-03        -0.51372E-03   -0.95304E-03
  4  -3           0.52305E-03   -0.96798E-03         0.51372E-03   -0.95304E-03
  4   4          -0.65877E-01   -0.46457E-05        -0.65745E-01   -0.46189E-05
  4  -4          -0.65877E-01    0.46457E-05        -0.65745E-01    0.46189E-05
  5   0           0.23980E-02    0.00000E+00         0.23950E-02   -0.32810E-16
  5   1           0.27180E-02   -0.17128E-02         0.27099E-02   -0.17075E-02
  5  -1          -0.27180E-02   -0.17128E-02        -0.27099E-02   -0.17075E-02
  5   2           0.27486E-05    0.29781E-03         0.27421E-05    0.29711E-03
  5  -2           0.27486E-05   -0.29781E-03         0.27421E-05   -0.29711E-03
  5   3           0.88952E-02    0.58943E-02         0.88783E-02    0.58830E-02
  5  -3          -0.88952E-02    0.58943E-02        -0.88783E-02    0.58830E-02
  5   4          -0.24789E-02   -0.23414E-03        -0.24731E-02   -0.23359E-03
  5  -4          -0.24789E-02    0.23414E-03        -0.24731E-02    0.23359E-03
  5   5          -0.13459E-02    0.96978E-03        -0.13462E-02    0.96982E-03
  5  -5           0.13459E-02    0.96978E-03         0.13462E-02    0.96982E-03
  5   1           0.27180E-02   -0.17128E-02         0.27099E-02   -0.17075E-02
  5  -1          -0.27180E-02   -0.17128E-02        -0.27099E-02   -0.17075E-02
  5   2           0.27486E-05    0.29781E-03         0.27421E-05    0.29711E-03
  5  -2           0.27486E-05   -0.29781E-03         0.27421E-05   -0.29711E-03
  5   3           0.88952E-02    0.58943E-02         0.88783E-02    0.58830E-02
  5  -3          -0.88952E-02    0.58943E-02        -0.88783E-02    0.58830E-02
  5   4          -0.24789E-02   -0.23414E-03        -0.24731E-02   -0.23359E-03
  5  -4          -0.24789E-02    0.23414E-03        -0.24731E-02    0.23359E-03
  5   5          -0.13459E-02    0.96978E-03        -0.13462E-02    0.96982E-03
  5  -5           0.13459E-02    0.96978E-03         0.13462E-02    0.96982E-03
  6   0           0.48403E-01    0.00000E+00         0.48352E-01    0.63616E-16
  6   1          -0.31719E-02    0.48008E-02        -0.31691E-02    0.47967E-02
  6  -1           0.31719E-02    0.48008E-02         0.31691E-02    0.47967E-02
  6   2           0.48902E-04   -0.27202E-02         0.48849E-04   -0.27172E-02
  6  -2           0.48902E-04    0.27202E-02         0.48849E-04    0.27172E-02
  6   3          -0.18202E-02   -0.26492E-02        -0.18182E-02   -0.26463E-02
  6  -3           0.18202E-02   -0.26492E-02         0.18182E-02   -0.26463E-02
  6   4          -0.90868E-01   -0.40879E-05        -0.90773E-01   -0.40928E-05
  6  -4          -0.90868E-01    0.40879E-05        -0.90773E-01    0.40928E-05
  6   5          -0.44450E-02    0.66261E-02        -0.44405E-02    0.66196E-02
  6  -5           0.44450E-02    0.66261E-02         0.44405E-02    0.66196E-02
  6   6           0.72564E-04   -0.11078E-02         0.72486E-04   -0.11068E-02
  6  -6           0.72564E-04    0.11078E-02         0.72486E-04    0.11068E-02
  6   1          -0.31719E-02    0.48008E-02        -0.31691E-02    0.47967E-02
  6  -1           0.31719E-02    0.48008E-02         0.31691E-02    0.47967E-02
  6   2           0.48902E-04   -0.27202E-02         0.48849E-04   -0.27172E-02
  6  -2           0.48902E-04    0.27202E-02         0.48849E-04    0.27172E-02
  6   3          -0.18202E-02   -0.26492E-02        -0.18182E-02   -0.26463E-02
  6  -3           0.18202E-02   -0.26492E-02         0.18182E-02   -0.26463E-02
  6   4          -0.90868E-01   -0.40879E-05        -0.90773E-01   -0.40928E-05
  6  -4          -0.90868E-01    0.40879E-05        -0.90773E-01    0.40928E-05
  6   5          -0.44450E-02    0.66261E-02        -0.44405E-02    0.66196E-02
  6  -5           0.44450E-02    0.66261E-02         0.44405E-02    0.66196E-02
  6   6           0.72564E-04   -0.11078E-02         0.72486E-04   -0.11068E-02
  6  -6           0.72564E-04    0.11078E-02         0.72486E-04    0.11068E-02
  7   0           0.88986E-03    0.00000E+00         0.88899E-03    0.25616E-15
  7   1           0.20516E-02   -0.14228E-02         0.20510E-02   -0.14224E-02
  7  -1          -0.20516E-02   -0.14228E-02        -0.20510E-02   -0.14224E-02
  7   2           0.17284E-05   -0.58862E-01         0.17279E-05   -0.58869E-01
  7  -2           0.17284E-05    0.58862E-01         0.17279E-05    0.58869E-01
  7   3          -0.50763E-03   -0.33312E-03        -0.50675E-03   -0.33254E-03
  7  -3           0.50763E-03   -0.33312E-03         0.50675E-03   -0.33254E-03
  7   4           0.10787E-02   -0.17516E-03         0.10788E-02   -0.17520E-03
  7  -4           0.10787E-02    0.17516E-03         0.10788E-02    0.17520E-03
  7   5          -0.10560E-02    0.75554E-03        -0.10572E-02    0.75638E-03
  7  -5           0.10560E-02    0.75554E-03         0.10572E-02    0.75638E-03
  7   6           0.36163E-05   -0.53844E-01         0.36130E-05   -0.53850E-01
  7  -6           0.36163E-05    0.53844E-01         0.36130E-05    0.53850E-01
  7   7          -0.18749E-02   -0.12821E-02        -0.18738E-02   -0.12813E-02
  7  -7           0.18749E-02   -0.12821E-02         0.18738E-02   -0.12813E-02
  7   1           0.20516E-02   -0.14228E-02         0.20510E-02   -0.14224E-02
  7  -1          -0.20516E-02   -0.14228E-02        -0.20510E-02   -0.14224E-02
  7   2           0.17284E-05   -0.58862E-01         0.17279E-05   -0.58869E-01
  7  -2           0.17284E-05    0.58862E-01         0.17279E-05    0.58869E-01
  7   3          -0.50763E-03   -0.33312E-03        -0.50675E-03   -0.33254E-03
  7  -3           0.50763E-03   -0.33312E-03         0.50675E-03   -0.33254E-03
  7   4           0.10787E-02   -0.17516E-03         0.10788E-02   -0.17520E-03
  7  -4           0.10787E-02    0.17516E-03         0.10788E-02    0.17520E-03
  7   5          -0.10560E-02    0.75554E-03        -0.10572E-02    0.75638E-03
  7  -5           0.10560E-02    0.75554E-03         0.10572E-02    0.75638E-03
  7   6           0.36163E-05   -0.53844E-01         0.36130E-05   -0.53850E-01
  7  -6           0.36163E-05    0.53844E-01         0.36130E-05    0.53850E-01
  7   7          -0.18749E-02   -0.12821E-02        -0.18738E-02   -0.12813E-02
  7  -7           0.18749E-02   -0.12821E-02         0.18738E-02   -0.12813E-02
  8   0           0.22682E-01    0.00000E+00         0.22914E-01   -0.48018E-16
  8   1           0.48933E-03   -0.78042E-03         0.48600E-03   -0.77503E-03
  8  -1          -0.48933E-03   -0.78042E-03        -0.48600E-03   -0.77503E-03
  8   2           0.54869E-04    0.15227E-02         0.55409E-04    0.15402E-02
  8  -2           0.54869E-04   -0.15227E-02         0.55409E-04   -0.15402E-02
  8   3          -0.19102E-03   -0.21918E-03        -0.20358E-03   -0.23830E-03
  8  -3           0.19102E-03   -0.21918E-03         0.20358E-03   -0.23830E-03
  8   4           0.83217E-02    0.32103E-05         0.84089E-02    0.32110E-05
  8  -4           0.83217E-02   -0.32103E-05         0.84089E-02   -0.32110E-05
  8   5          -0.29937E-02    0.45029E-02        -0.30173E-02    0.45379E-02
  8  -5           0.29937E-02    0.45029E-02         0.30173E-02    0.45379E-02
  8   6           0.15261E-03   -0.82179E-03         0.15282E-03   -0.82448E-03
  8  -6           0.15261E-03    0.82179E-03         0.15282E-03    0.82448E-03
  8   7          -0.14758E-02   -0.21533E-02        -0.15005E-02   -0.21907E-02
  8  -7           0.14758E-02   -0.21533E-02         0.15005E-02   -0.21907E-02
  8   8           0.12812E-01    0.13397E-07         0.12944E-01   -0.23197E-07
  8  -8           0.12812E-01   -0.13397E-07         0.12944E-01    0.23197E-07
  8   1           0.48933E-03   -0.78042E-03         0.48600E-03   -0.77503E-03
  8  -1          -0.48933E-03   -0.78042E-03        -0.48600E-03   -0.77503E-03
  8   2           0.54869E-04    0.15227E-02         0.55409E-04    0.15402E-02
  8  -2           0.54869E-04   -0.15227E-02         0.55409E-04   -0.15402E-02
  8   3          -0.19102E-03   -0.21918E-03        -0.20358E-03   -0.23830E-03
  8  -3           0.19102E-03   -0.21918E-03         0.20358E-03   -0.23830E-03
  8   4           0.83217E-02    0.32103E-05         0.84089E-02    0.32110E-05
  8  -4           0.83217E-02   -0.32103E-05         0.84089E-02   -0.32110E-05
  8   5          -0.29937E-02    0.45029E-02        -0.30173E-02    0.45379E-02
  8  -5           0.29937E-02    0.45029E-02         0.30173E-02    0.45379E-02
  8   6           0.15261E-03   -0.82179E-03         0.15282E-03   -0.82448E-03
  8  -6           0.15261E-03    0.82179E-03         0.15282E-03    0.82448E-03
  8   7          -0.14758E-02   -0.21533E-02        -0.15005E-02   -0.21907E-02
  8  -7           0.14758E-02   -0.21533E-02         0.15005E-02   -0.21907E-02
  8   8           0.12812E-01    0.13397E-07         0.12944E-01   -0.23197E-07
  8  -8           0.12812E-01   -0.13397E-07         0.12944E-01    0.23197E-07

          multipole moments for atom type=    2

  l   m                   original                      plane wave
  0   0          -0.53168E+00    0.00000E+00         0.75573E+00   -0.81105E-16
  1   0          -0.11168E-02    0.00000E+00        -0.11020E-02    0.36856E-16
  1   1           0.31664E-02   -0.20316E-02         0.31183E-02   -0.20012E-02
  1  -1          -0.31664E-02   -0.20316E-02        -0.31183E-02   -0.20012E-02
  1   1           0.31664E-02   -0.20316E-02         0.31183E-02   -0.20012E-02
  1  -1          -0.31664E-02   -0.20316E-02        -0.31183E-02   -0.20012E-02
  2   0           0.21336E-03    0.00000E+00         0.21212E-03    0.37056E-17
  2   1           0.55812E-02   -0.84695E-02         0.55494E-02   -0.84198E-02
  2  -1          -0.55812E-02   -0.84695E-02        -0.55494E-02   -0.84198E-02
  2   2          -0.11858E-03    0.26137E-02        -0.11789E-03    0.26014E-02
  2  -2          -0.11858E-03   -0.26137E-02        -0.11789E-03   -0.26014E-02
  2   1           0.55812E-02   -0.84695E-02         0.55494E-02   -0.84198E-02
  2  -1          -0.55812E-02   -0.84695E-02        -0.55494E-02   -0.84198E-02
  2   2          -0.11858E-03    0.26137E-02        -0.11789E-03    0.26014E-02
  2  -2          -0.11858E-03   -0.26137E-02        -0.11789E-03   -0.26014E-02
  3   0           0.33423E-02    0.00000E+00         0.33284E-02   -0.16314E-16
  3   1           0.44025E-02   -0.29386E-02         0.43814E-02   -0.29247E-02
  3  -1          -0.44025E-02   -0.29386E-02        -0.43814E-02   -0.29247E-02
  3   2           0.41450E-05   -0.15292E+00         0.41019E-05   -0.15252E+00
  3  -2           0.41450E-05    0.15292E+00         0.41019E-05    0.15252E+00
  3   3          -0.56707E-02   -0.37709E-02        -0.56436E-02   -0.37532E-02
  3  -3           0.56707E-02   -0.37709E-02         0.56436E-02   -0.37532E-02
  3   1           0.44025E-02   -0.29386E-02         0.43814E-02   -0.29247E-02
  3  -1          -0.44025E-02   -0.29386E-02        -0.43814E-02   -0.29247E-02
  3   2           0.41450E-05   -0.15292E+00         0.41019E-05   -0.15252E+00
  3  -2           0.41450E-05    0.15292E+00         0.41019E-05    0.15252E+00
  3   3          -0.56707E-02   -0.37709E-02        -0.56436E-02   -0.37532E-02
  3  -3           0.56707E-02   -0.37709E-02         0.56436E-02   -0.37532E-02
  4   0          -0.11070E+00    0.00000E+00        -0.11047E+00    0.15388E-15
  4   1          -0.18150E-03    0.35671E-03        -0.17806E-03    0.35111E-03
  4  -1           0.18150E-03    0.35671E-03         0.17806E-03    0.35111E-03
  4   2          -0.16612E-03   -0.11322E-03        -0.16563E-03   -0.11624E-03
  4  -2          -0.16612E-03    0.11322E-03        -0.16563E-03    0.11624E-03
  4   3          -0.52306E-03   -0.96799E-03        -0.51372E-03   -0.95304E-03
  4  -3           0.52306E-03   -0.96799E-03         0.51372E-03   -0.95304E-03
  4   4          -0.65877E-01   -0.46350E-05        -0.65744E-01   -0.46080E-05
  4  -4          -0.65877E-01    0.46350E-05        -0.65744E-01    0.46080E-05
  4   1          -0.18150E-03    0.35671E-03        -0.17806E-03    0.35111E-03
  4  -1           0.18150E-03    0.35671E-03         0.17806E-03    0.35111E-03
  4   2          -0.16612E-03   -0.11322E-03        -0.16563E-03   -0.11624E-03
  4  -2          -0.16612E-03    0.11322E-03        -0.16563E-03    0.11624E-03
  4   3          -0.52306E-03   -0.96799E-03        -0.51372E-03   -0.95304E-03
  4  -3           0.52306E-03   -0.96799E-03         0.51372E-03   -0.95304E-03
  4   4          -0.65877E-01   -0.46350E-05        -0.65744E-01   -0.46080E-05
  4  -4          -0.65877E-01    0.46350E-05        -0.65744E-01    0.46080E-05
  5   0          -0.23980E-02    0.00000E+00        -0.23950E-02   -0.11828E-15
  5   1          -0.27180E-02    0.17128E-02        -0.27099E-02    0.17075E-02
  5  -1           0.27180E-02    0.17128E-02         0.27099E-02    0.17075E-02
  5   2          -0.27479E-05   -0.29782E-03        -0.27411E-05   -0.29713E-03
  5  -2          -0.27479E-05    0.29782E-03        -0.27411E-05    0.29713E-03
  5   3          -0.88952E-02   -0.58943E-02        -0.88783E-02   -0.58830E-02
  5  -3           0.88952E-02   -0.58943E-02         0.88783E-02   -0.58830E-02
  5   4           0.24789E-02    0.23416E-03         0.24731E-02    0.23361E-03
  5  -4           0.24789E-02   -0.23416E-03         0.24731E-02   -0.23361E-03
  5   5           0.13458E-02   -0.96978E-03         0.13460E-02   -0.96982E-03
  5  -5          -0.13458E-02   -0.96978E-03        -0.13460E-02   -0.96982E-03
  5   1          -0.27180E-02    0.17128E-02        -0.27099E-02    0.17075E-02
  5  -1           0.27180E-02    0.17128E-02         0.27099E-02    0.17075E-02
  5   2          -0.27479E-05   -0.29782E-03        -0.27411E-05   -0.29713E-03
  5  -2          -0.27479E-05    0.29782E-03        -0.27411E-05    0.29713E-03
  5   3          -0.88952E-02   -0.58943E-02        -0.88783E-02   -0.58830E-02
  5  -3           0.88952E-02   -0.58943E-02         0.88783E-02   -0.58830E-02
  5   4           0.24789E-02    0.23416E-03         0.24731E-02    0.23361E-03
  5  -4           0.24789E-02   -0.23416E-03         0.24731E-02   -0.23361E-03
  5   5           0.13458E-02   -0.96978E-03         0.13460E-02   -0.96982E-03
  5  -5          -0.13458E-02   -0.96978E-03        -0.13460E-02   -0.96982E-03
  6   0           0.48403E-01    0.00000E+00         0.48352E-01    0.11314E-15
  6   1          -0.31719E-02    0.48008E-02        -0.31691E-02    0.47967E-02
  6  -1           0.31719E-02    0.48008E-02         0.31691E-02    0.47967E-02
  6   2           0.48919E-04   -0.27202E-02         0.48865E-04   -0.27172E-02
  6  -2           0.48919E-04    0.27202E-02         0.48865E-04    0.27172E-02
  6   3          -0.18202E-02   -0.26492E-02        -0.18182E-02   -0.26462E-02
  6  -3           0.18202E-02   -0.26492E-02         0.18182E-02   -0.26462E-02
  6   4          -0.90868E-01   -0.40691E-05        -0.90773E-01   -0.40737E-05
  6  -4          -0.90868E-01    0.40691E-05        -0.90773E-01    0.40737E-05
  6   5          -0.44450E-02    0.66261E-02        -0.44405E-02    0.66196E-02
  6  -5           0.44450E-02    0.66261E-02         0.44405E-02    0.66196E-02
  6   6           0.72530E-04   -0.11078E-02         0.72450E-04   -0.11068E-02
  6  -6           0.72530E-04    0.11078E-02         0.72450E-04    0.11068E-02
  6   1          -0.31719E-02    0.48008E-02        -0.31691E-02    0.47967E-02
  6  -1           0.31719E-02    0.48008E-02         0.31691E-02    0.47967E-02
  6   2           0.48919E-04   -0.27202E-02         0.48865E-04   -0.27172E-02
  6  -2           0.48919E-04    0.27202E-02         0.48865E-04    0.27172E-02
  6   3          -0.18202E-02   -0.26492E-02        -0.18182E-02   -0.26462E-02
  6  -3           0.18202E-02   -0.26492E-02         0.18182E-02   -0.26462E-02
  6   4          -0.90868E-01   -0.40691E-05        -0.90773E-01   -0.40737E-05
  6  -4          -0.90868E-01    0.40691E-05        -0.90773E-01    0.40737E-05
  6   5          -0.44450E-02    0.66261E-02        -0.44405E-02    0.66196E-02
  6  -5           0.44450E-02    0.66261E-02         0.44405E-02    0.66196E-02
  6   6           0.72530E-04   -0.11078E-02         0.72450E-04   -0.11068E-02
  6  -6           0.72530E-04    0.11078E-02         0.72450E-04    0.11068E-02
  7   0          -0.88984E-03    0.00000E+00        -0.88897E-03   -0.10417E-16
  7   1          -0.20516E-02    0.14228E-02        -0.20510E-02    0.14224E-02
  7  -1           0.20516E-02    0.14228E-02         0.20510E-02    0.14224E-02
  7   2          -0.17221E-05    0.58862E-01        -0.17214E-05    0.58869E-01
  7  -2          -0.17221E-05   -0.58862E-01        -0.17214E-05   -0.58869E-01
  7   3           0.50768E-03    0.33312E-03         0.50680E-03    0.33254E-03
  7  -3          -0.50768E-03    0.33312E-03        -0.50680E-03    0.33254E-03
  7   4          -0.10787E-02    0.17515E-03        -0.10788E-02    0.17519E-03
  7  -4          -0.10787E-02   -0.17515E-03        -0.10788E-02   -0.17519E-03
  7   5           0.10559E-02   -0.75554E-03         0.10572E-02   -0.75639E-03
  7  -5          -0.10559E-02   -0.75554E-03        -0.10572E-02   -0.75639E-03
  7   6          -0.35853E-05    0.53844E-01        -0.35813E-05    0.53850E-01
  7  -6          -0.35853E-05   -0.53844E-01        -0.35813E-05   -0.53850E-01
  7   7           0.18749E-02    0.12820E-02         0.18737E-02    0.12813E-02
  7  -7          -0.18749E-02    0.12820E-02        -0.18737E-02    0.12813E-02
  7   1          -0.20516E-02    0.14228E-02        -0.20510E-02    0.14224E-02
  7  -1           0.20516E-02    0.14228E-02         0.20510E-02    0.14224E-02
  7   2          -0.17221E-05    0.58862E-01        -0.17214E-05    0.58869E-01
  7  -2          -0.17221E-05   -0.58862E-01        -0.17214E-05   -0.58869E-01
  7   3           0.50768E-03    0.33312E-03         0.50680E-03    0.33254E-03
  7  -3          -0.50768E-03    0.33312E-03        -0.50680E-03    0.33254E-03
  7   4          -0.10787E-02    0.17515E-03        -0.10788E-02    0.17519E-03
  7  -4          -0.10787E-02   -0.17515E-03        -0.10788E-02   -0.17519E-03
  7   5           0.10559E-02   -0.75554E-03         0.10572E-02   -0.75639E-03
  7  -5          -0.10559E-02   -0.75554E-03        -0.10572E-02   -0.75639E-03
  7   6          -0.35853E-05    0.53844E-01        -0.35813E-05    0.53850E-01
  7  -6          -0.35853E-05   -0.53844E-01        -0.35813E-05   -0.53850E-01
  7   7           0.18749E-02    0.12820E-02         0.18737E-02    0.12813E-02
  7  -7          -0.18749E-02    0.12820E-02        -0.18737E-02    0.12813E-02
  8   0           0.22682E-01    0.00000E+00         0.22914E-01   -0.53942E-15
  8   1           0.48932E-03   -0.78045E-03         0.48599E-03   -0.77507E-03
  8  -1          -0.48932E-03   -0.78045E-03        -0.48599E-03   -0.77507E-03
  8   2           0.54861E-04    0.15227E-02         0.55402E-04    0.15402E-02
  8  -2           0.54861E-04   -0.15227E-02         0.55402E-04   -0.15402E-02
  8   3          -0.19104E-03   -0.21919E-03        -0.20360E-03   -0.23831E-03
  8  -3           0.19104E-03   -0.21919E-03         0.20360E-03   -0.23831E-03
  8   4           0.83216E-02    0.32161E-05         0.84088E-02    0.32185E-05
  8  -4           0.83216E-02   -0.32161E-05         0.84088E-02   -0.32185E-05
  8   5          -0.29937E-02    0.45028E-02        -0.30173E-02    0.45378E-02
  8  -5           0.29937E-02    0.45028E-02         0.30173E-02    0.45378E-02
  8   6           0.15262E-03   -0.82179E-03         0.15282E-03   -0.82448E-03
  8  -6           0.15262E-03    0.82179E-03         0.15282E-03    0.82448E-03
  8   7          -0.14758E-02   -0.21533E-02        -0.15005E-02   -0.21906E-02
  8  -7           0.14758E-02   -0.21533E-02         0.15005E-02   -0.21906E-02
  8   8           0.12812E-01    0.10336E-07         0.12944E-01   -0.26826E-07
  8  -8           0.12812E-01   -0.10336E-07         0.12944E-01    0.26826E-07
  8   1           0.48932E-03   -0.78045E-03         0.48599E-03   -0.77507E-03
  8  -1          -0.48932E-03   -0.78045E-03        -0.48599E-03   -0.77507E-03
  8   2           0.54861E-04    0.15227E-02         0.55402E-04    0.15402E-02
  8  -2           0.54861E-04   -0.15227E-02         0.55402E-04   -0.15402E-02
  8   3          -0.19104E-03   -0.21919E-03        -0.20360E-03   -0.23831E-03
  8  -3           0.19104E-03   -0.21919E-03         0.20360E-03   -0.23831E-03
  8   4           0.83216E-02    0.32161E-05         0.84088E-02    0.32185E-05
  8  -4           0.83216E-02   -0.32161E-05         0.84088E-02   -0.32185E-05
  8   5          -0.29937E-02    0.45028E-02        -0.30173E-02    0.45378E-02
  8  -5           0.29937E-02    0.45028E-02         0.30173E-02    0.45378E-02
  8   6           0.15262E-03   -0.82179E-03         0.15282E-03   -0.82448E-03
  8  -6           0.15262E-03    0.82179E-03         0.15282E-03    0.82448E-03
  8   7          -0.14758E-02   -0.21533E-02        -0.15005E-02   -0.21906E-02
  8  -7           0.14758E-02   -0.21533E-02         0.15005E-02   -0.21906E-02
  8   8           0.12812E-01    0.10336E-07         0.12944E-01   -0.26826E-07
  8  -8           0.12812E-01   -0.10336E-07         0.12944E-01    0.26826E-07

          integral of pseudo charge density inside the slab=        0.000000   0.000000

     coulomb potential in the interstitial region:

          density-coulomb potential integrals


          interstitial :                       0.8216145930

          muffin tin spheres :              -845.8456499343

          total density-coulomb potenti     -845.0240353414
 wrtdop title:alpha Si                                                                ordered*

     interstitial potential average (vbar) = -0.030239

 999idsprs in starting of nmtxad= 0

          density-effective potential integrals for spin  1


          interstitial :                      -0.4175259495

          muffin tin spheres :              -898.4708377987

          total density-effective poten     -898.8883637483

          charge density-energy density integrals


          interstitial :                      -0.9655450855

          muffin tin spheres :               -40.7421844212

          total charge density-energy d      -41.7077295066
 vgen: pottot deleted
 wrtdop title:alpha Si                                                                ordered*
 IT=   2  ISEC1=  99 standard diagonalization
  Atom  1 3s branch from -4.74 to  1.05 htr. ; e_l = -0.1502
  Atom  1 3p branch from -3.12 to  1.53 htr. ; e_l =  0.0353
  Atom  1 3d branch from -9.99 to  1.93 htr. ; e_l =  0.2301
  Atom  1 4f branch from -9.99 to  4.08 htr. ; e_l =  0.3981
  Atom  2 3s branch from -4.74 to  1.05 htr. ; e_l = -0.1502
  Atom  2 3p branch from -3.12 to  1.53 htr. ; e_l =  0.0353
  Atom  2 3d branch from -9.99 to  1.93 htr. ; e_l =  0.2301
  Atom  2 4f branch from -9.99 to  4.08 htr. ; e_l =  0.3981


 wavefunction parameters for atom type  1:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.15017        4.7646183E-01  -2.4749634E-01    2       -3.1309853E-01  -7.4545495E-01    2   1.0814391E-01   4.3267157E-01
  1   0.03533       -5.5182344E-01   1.0302259E-01    1        2.6683805E-01   7.3428630E-01    2   7.9998073E-02   4.3268674E-01
  2   0.23009        6.4275998E-01   1.5927485E-01    0       -2.3375768E-01  -7.3109088E-01    1   6.5627402E-02   4.3268424E-01
  3   0.39809        8.3713031E-01   7.5218301E-01    0       -1.2187579E-01  -6.2636810E-01    1   1.3191687E-02   4.3267883E-01
  4   0.39809        9.7683946E-01   1.4601325E+00    0       -8.2255437E-02  -5.6587818E-01    1   4.9342635E-03   4.3266830E-01
  5   0.39809        1.0886379E+00   2.2133115E+00    0       -6.1722450E-02  -5.2291638E-01    1   2.3854738E-03   4.3265558E-01
  6   0.39809        1.1857230E+00   3.0188902E+00    0       -4.8959550E-02  -4.8952746E-01    1   1.3213557E-03   4.3264047E-01
  7   0.39809        1.2732442E+00   3.8771854E+00    0       -4.0240583E-02  -4.6231752E-01    1   7.9916325E-04   4.3262290E-01
  8   0.39809        1.3538411E+00   4.7868200E+00    0       -3.3917974E-02  -4.3946226E-01    1   5.1466770E-04   4.3260286E-01


 wavefunction parameters for atom type  2:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.15017        4.7646184E-01  -2.4749632E-01    2       -3.1309852E-01  -7.4545495E-01    2   1.0814391E-01   4.3267157E-01
  1   0.03533       -5.5182345E-01   1.0302256E-01    1        2.6683804E-01   7.3428630E-01    2   7.9998069E-02   4.3268674E-01
  2   0.23009        6.4275999E-01   1.5927487E-01    0       -2.3375767E-01  -7.3109088E-01    1   6.5627399E-02   4.3268424E-01
  3   0.39809        8.3713032E-01   7.5218303E-01    0       -1.2187579E-01  -6.2636810E-01    1   1.3191687E-02   4.3267883E-01
  4   0.39809        9.7683946E-01   1.4601325E+00    0       -8.2255436E-02  -5.6587818E-01    1   4.9342634E-03   4.3266830E-01
  5   0.39809        1.0886379E+00   2.2133115E+00    0       -6.1722450E-02  -5.2291638E-01    1   2.3854737E-03   4.3265558E-01
  6   0.39809        1.1857230E+00   3.0188903E+00    0       -4.8959550E-02  -4.8952745E-01    1   1.3213557E-03   4.3264047E-01
  7   0.39809        1.2732442E+00   3.8771854E+00    0       -4.0240583E-02  -4.6231752E-01    1   7.9916324E-04   4.3262290E-01
  8   0.39809        1.3538411E+00   4.7868200E+00    0       -3.3917974E-02  -4.3946226E-01    1   5.1466769E-04   4.3260286E-01


 k=(    0.444444    0.444444    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.167749   -0.043134    0.143635    0.148573    0.246453
         0.315728    0.321072    0.482604


 k=(    0.333333    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.170046   -0.029148    0.120273    0.132241    0.271524
         0.316873    0.345657    0.446947


 k=(    0.222222    0.444444    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163713   -0.015712    0.083274    0.112756    0.255037
         0.353741    0.382648    0.399621


 k=(    0.111111    0.444444    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.148007   -0.028876    0.082550    0.096836    0.231968
         0.276420    0.465850    0.468719


 k=(    0.000000    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.123375   -0.061453    0.088840    0.094979    0.220317
         0.237172    0.531149    0.531529


 k=(   -0.111111    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.100581   -0.084342    0.074314    0.090098    0.225955
         0.262034    0.530133    0.538681


 k=(    0.222222    0.555556    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.122619   -0.057497    0.051008    0.100403    0.238494
         0.333350    0.457003    0.458596


 k=(    0.333333    0.555556    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143052   -0.045954    0.064730    0.117831    0.260187
         0.374302    0.387489    0.424246


 k=(    0.555556    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.158271   -0.047721    0.111334    0.136641    0.271294
         0.317928    0.337329    0.493531


 k=(    0.444444    0.333333    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.170090   -0.028945    0.118164    0.134232    0.271861
         0.318004    0.343937    0.445776


 k=(    0.333333    0.333333    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.179126   -0.013004    0.107480    0.151583    0.278108
         0.327224    0.329673    0.465734


 k=(    0.222222    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.178492    0.003431    0.083928    0.132552    0.293618
         0.325456    0.374787    0.391245


 k=(    0.111111    0.333333    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.167659   -0.002872    0.082942    0.106048    0.263699
         0.302696    0.390654    0.453143


 k=(    0.000000    0.333333    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.146958   -0.031773    0.078265    0.103215    0.237049
         0.271062    0.466629    0.471360


 k=(   -0.111111    0.333333    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.118612   -0.063670    0.071618    0.082622    0.256720
         0.271495    0.458716    0.523482


 k=(   -0.222222    0.333333    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.105216   -0.073969    0.050976    0.080195    0.268084
         0.333962    0.437295    0.446961


 k=(    0.666667    0.333333    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.129323   -0.050127    0.046614    0.096577    0.285604
         0.358719    0.421339    0.436809


 k=(    0.555556    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.152729   -0.038648    0.078056    0.118703    0.297954
         0.309743    0.391270    0.436228


 k=(    0.444444    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163775   -0.015215    0.081323    0.114220    0.256282
         0.352415    0.382640    0.398333


 k=(    0.333333    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.178500    0.003639    0.083091    0.133290    0.293836
         0.326478    0.374122    0.389210


 k=(    0.222222    0.222222    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.183190    0.011944    0.073790    0.151048    0.293650
         0.354348    0.361688    0.408127


 k=(    0.111111    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.177411   -0.002726    0.088643    0.132568    0.300348
         0.325323    0.368436    0.395491


 k=(    0.000000    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.161478   -0.023725    0.082300    0.119794    0.262006
         0.346398    0.384675    0.401416


 k=(   -0.111111    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.136752   -0.045886    0.057635    0.101167    0.281894
         0.336893    0.379047    0.466258


 k=(   -0.222222    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.108244   -0.070241    0.048368    0.074467    0.333444
         0.345779    0.363727    0.425096


 k=(    0.666667    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.112539   -0.063807    0.051022    0.069351    0.335951
         0.340054    0.362589    0.429657


 k=(    0.555556    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.140445   -0.036900    0.059573    0.093096    0.277153
         0.342109    0.373797    0.467726


 k=(    0.444444    0.111111    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.148038   -0.028699    0.081143    0.098048    0.233045
         0.275404    0.465104    0.468200


 k=(    0.333333    0.111111    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.167633   -0.003073    0.083247    0.105983    0.263869
         0.302410    0.390698    0.452954


 k=(    0.222222    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.177381   -0.003048    0.089632    0.131867    0.300120
         0.324337    0.369072    0.397288


 k=(    0.111111    0.111111    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.176866   -0.022190    0.115683    0.149300    0.280786
         0.328552    0.339761    0.461542


 k=(    0.000000    0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.166524   -0.039732    0.119248    0.140587    0.276139
         0.323518    0.346219    0.439615


 k=(   -0.111111    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147695   -0.051016    0.077079    0.128171    0.299352
         0.319954    0.388920    0.429860


 k=(   -0.222222    0.111111    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.122839   -0.062273    0.045343    0.104220    0.291439
         0.363006    0.413500    0.433466


 k=(    0.666667    0.111111    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.098630   -0.081791    0.046644    0.085858    0.274192
         0.327828    0.435771    0.447628


 k=(    0.555556    0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.120501   -0.060347    0.072862    0.079509    0.258487
         0.270268    0.453004    0.522778


 k=(    0.444444    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.123214   -0.061782    0.089950    0.094132    0.220745
         0.236632    0.531168    0.531468


 k=(    0.333333    0.000000    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.146811   -0.032398    0.079854    0.102306    0.236074
         0.271770    0.466583    0.472671


 k=(    0.222222    0.000000    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.161364   -0.024379    0.084078    0.118726    0.260673
         0.347456    0.384512    0.403116


 k=(    0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.166460   -0.039971    0.120608    0.139434    0.275800
         0.321783    0.348469    0.440800


 k=(    0.000000    0.000000    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.162893   -0.055233    0.144816    0.154532    0.249785
         0.317766    0.328571    0.486672


 k=(   -0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152451   -0.060914    0.111944    0.143937    0.275199
         0.322928    0.339760    0.497687


 k=(    0.222222    0.000000    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137094   -0.058892    0.065901    0.124094    0.266205
         0.376579    0.389548    0.417547


 k=(    0.333333    0.000000    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.117279   -0.066275    0.048975    0.106068    0.244466
         0.327346    0.457062    0.461470


 k=(    0.555556    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.093242   -0.092070    0.069305    0.095463    0.231994
         0.256082    0.526472    0.538032


 k=(    0.444444   -0.111111    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.099033   -0.086100    0.073439    0.091224    0.227181
         0.260756    0.529315    0.538704


 k=(    0.333333   -0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.118017   -0.064728    0.072180    0.082670    0.256961
         0.271060    0.459895    0.523678


 k=(    0.222222   -0.111111    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.136425   -0.046808    0.058451    0.101137    0.280414
         0.338220    0.380149    0.466431


 k=(    0.111111   -0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147519   -0.051420    0.077039    0.128578    0.298738
         0.320479    0.388729    0.431065


 k=(    0.000000   -0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152389   -0.060986    0.110683    0.145407    0.275538
         0.324627    0.337249    0.497416


 k=(    0.111111    0.111111    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152638   -0.060703    0.117160    0.137980    0.274352
         0.320501    0.344494    0.498697


 k=(    0.222222    0.111111    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148242   -0.050374    0.083006    0.121100    0.302831
         0.312006    0.396111    0.430569


 k=(    0.333333    0.111111    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.137600   -0.044394    0.061384    0.096192    0.281642
         0.338073    0.374975    0.471095


 k=(    0.444444    0.111111    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.119665   -0.061874    0.072997    0.080268    0.257955
         0.270541    0.455452    0.523259


 k=(    0.555556    0.222222    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.122332   -0.057820    0.049795    0.101656    0.239778
         0.332040    0.455364    0.458779


 k=(    0.333333   -0.222222    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.103978   -0.075550    0.050168    0.081381    0.269336
         0.332638    0.436548    0.447600


 k=(    0.222222   -0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.107115   -0.071853    0.048146    0.075242    0.334075
         0.345530    0.364184    0.424199


 k=(    0.111111   -0.222222    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.122445   -0.062843    0.044805    0.104944    0.292957
         0.361203    0.413055    0.433538


 k=(    0.000000    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137000   -0.058868    0.064597    0.125294    0.267652
         0.376069    0.387558    0.417195


 k=(    0.111111    0.222222    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148236   -0.050238    0.081498    0.122593    0.302364
         0.313724    0.394363    0.429489


 k=(    0.222222    0.222222    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.153417   -0.035815    0.062815    0.132820    0.275884
         0.375822    0.381037    0.451929


 k=(    0.333333    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.150731   -0.027545    0.052113    0.114215    0.305759
         0.342410    0.374472    0.444850


 k=(    0.444444    0.222222    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.139877   -0.038266    0.058161    0.095717    0.276576
         0.342117    0.376547    0.464890


 k=(    0.555556    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.142924   -0.046008    0.063226    0.119371    0.261489
         0.373440    0.385962    0.423826


 k=(    0.333333    0.666667    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.128994   -0.050685    0.045941    0.097522    0.287020
         0.357031    0.420491    0.437303


 k=(    0.222222    0.666667    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.111793   -0.064970    0.050372    0.070472    0.334740
         0.341971    0.362795    0.428701


 k=(    0.111111    0.666667    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.096995   -0.083566    0.045822    0.086795    0.275538
         0.326553    0.435947    0.447262


 k=(    0.000000    0.333333    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.117193   -0.066162    0.047696    0.107038    0.245876
         0.326114    0.456296    0.460662


 k=(    0.111111    0.333333    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.137629   -0.044078    0.059755    0.097521    0.282883
         0.336748    0.375179    0.469617


 k=(    0.222222    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.150752   -0.027447    0.052031    0.114190    0.305883
         0.342015    0.374808    0.445106


 k=(    0.333333    0.333333    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.155517   -0.028314    0.056897    0.133674    0.276030
         0.370993    0.373040    0.458221


 k=(    0.444444    0.333333    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.152391   -0.039196    0.074930    0.122671    0.295857
         0.314129    0.387317    0.436354


 k=(    0.444444    0.555556    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.158214   -0.047788    0.109558    0.138682    0.271612
         0.318880    0.335541    0.493362


 k=(    0.333333    0.555556    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.152597   -0.038994    0.077879    0.119219    0.297001
         0.310625    0.391135    0.437380


 k=(    0.222222    0.555556    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.140238   -0.037578    0.060283    0.092987    0.275709
         0.343666    0.374744    0.467846


 k=(    0.111111    0.555556    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.120243   -0.060785    0.072090    0.080506    0.257666
         0.271046    0.454172    0.522839


 k=(    0.000000    0.555556    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.094316   -0.090888    0.068231    0.096323    0.233340
         0.254877    0.525576    0.537767


 k=(    0.111111    0.444444    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.119825   -0.061548    0.072236    0.080805    0.257418
         0.271169    0.455399    0.523063


 k=(    0.222222    0.444444    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.139954   -0.038259    0.059546    0.094322    0.275441
         0.343654    0.376130    0.466387


 k=(    0.333333    0.444444    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.152429   -0.039270    0.076304    0.121206    0.296000
         0.312794    0.389123    0.437451


 k=(    0.444444    0.444444    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.158158   -0.047856    0.108054    0.140431    0.271955
         0.320396    0.333174    0.493232


 k=(    0.444444    0.444444    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.170136   -0.028727    0.116483    0.135761    0.272211
         0.319511    0.341826    0.444638


 k=(    0.333333    0.444444    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.179236   -0.012659    0.108727    0.149639    0.277846
         0.325716    0.332110    0.465159


 k=(    0.222222    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.178663    0.004178    0.084901    0.130565    0.294469
         0.323538    0.374906    0.392853


 k=(    0.111111    0.444444    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.167899   -0.001567    0.082592    0.105037    0.264044
         0.302740    0.389254    0.453378


 k=(    0.000000    0.444444    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.147283   -0.030672    0.077242    0.103277    0.237239
         0.271103    0.465822    0.469919


 k=(   -0.111111    0.444444    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.119035   -0.062929    0.071514    0.082318    0.256958
         0.271359    0.457549    0.523404


 k=(   -0.222222    0.444444    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.105164   -0.074046    0.051016    0.080188    0.268077
         0.333941    0.437691    0.446649


 k=(    0.666667    0.444444    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.129194   -0.050300    0.046049    0.097288    0.285483
         0.359731    0.421756    0.435810


 k=(    0.555556    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.152697   -0.038555    0.076558    0.120254    0.297632
         0.311294    0.389360    0.435222


 k=(    0.444444    0.333333    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.179344   -0.012334    0.110210    0.147458    0.277620
         0.325291    0.333443    0.464922


 k=(    0.333333    0.333333    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.193689    0.004694    0.149674    0.154650    0.253724
         0.319931    0.325137    0.481406


 k=(    0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.197730    0.025853    0.134351    0.136344    0.276472
         0.319465    0.353924    0.395812


 k=(    0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190945    0.034163    0.110133    0.116283    0.249591
         0.316690    0.391647    0.404642


 k=(    0.000000    0.333333    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.173541    0.006664    0.102280    0.108964    0.225259
         0.273350    0.456143    0.456318


 k=(   -0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.147075   -0.031969    0.085476    0.096659    0.231464
         0.276137    0.467674    0.473458


 k=(   -0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.120288   -0.062068    0.053630    0.100214    0.238289
         0.333288    0.459646    0.462451


 k=(    0.666667    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.128702   -0.050644    0.038594    0.112341    0.252298
         0.411738    0.434149    0.445213


 k=(    0.555556    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.156197   -0.026604    0.058520    0.130457    0.273323
         0.371743    0.376686    0.457792


 k=(    0.444444    0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.178840    0.005109    0.085159    0.129198    0.295671
         0.322525    0.374297    0.392494


 k=(    0.333333    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.197777    0.026258    0.132382    0.137824    0.276726
         0.320807    0.352383    0.394495


 k=(    0.222222    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.206348    0.047165    0.116550    0.166539    0.289468
         0.321858    0.332151    0.417463


 k=(    0.111111    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.203874    0.053087    0.108173    0.147279    0.283118
         0.331151    0.358858    0.376320


 k=(    0.000000    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190410    0.029431    0.107706    0.123521    0.252469
         0.312843    0.393707    0.406930


 k=(   -0.111111    0.222222    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.166956   -0.006328    0.082701    0.109946    0.262692
         0.302406    0.394653    0.453074


 k=(   -0.222222    0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.137847   -0.044023    0.062513    0.095420    0.274970
         0.344139    0.378640    0.470004


 k=(    0.666667    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.126982   -0.055297    0.048905    0.097244    0.285269
         0.364220    0.417203    0.435724


 k=(    0.555556    0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.151805   -0.024066    0.052103    0.111348    0.303009
         0.343275    0.374843    0.445793


 k=(    0.444444    0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.168111   -0.000477    0.082744    0.103768    0.264582
         0.302505    0.387896    0.453487


 k=(    0.333333    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190991    0.034732    0.108022    0.117747    0.250316
         0.316176    0.391248    0.403742


 k=(    0.222222    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.203868    0.052935    0.108337    0.147332    0.283153
         0.331229    0.358624    0.376132


 k=(    0.111111    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.205752    0.040314    0.123633    0.165051    0.292675
         0.328530    0.331992    0.413129


 k=(    0.000000    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.196547    0.017568    0.134033    0.144193    0.281260
         0.324539    0.355076    0.388832


 k=(   -0.111111    0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.176896   -0.004619    0.085359    0.138568    0.297377
         0.331049    0.368456    0.391018


 k=(   -0.222222    0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.149155   -0.032088    0.051438    0.118544    0.309410
         0.341114    0.374283    0.444626


 k=(   -0.333333    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.125213   -0.058015    0.045500    0.101794    0.292157
         0.356055    0.414758    0.436122


 k=(    0.555556    0.111111    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.139105   -0.040266    0.058866    0.095815    0.282009
         0.337499    0.373340    0.468841


 k=(    0.444444    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.147458   -0.030222    0.077832    0.102426    0.236445
         0.271871    0.464852    0.469930


 k=(    0.333333    0.000000    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.173514    0.006415    0.103495    0.108068    0.225393
         0.273092    0.455952    0.456340


 k=(    0.222222    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190337    0.028532    0.109736    0.122605    0.251897
         0.312946    0.393779    0.408085


 k=(    0.111111    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.196488    0.017107    0.134982    0.143877    0.281042
         0.322734    0.356924    0.390107


 k=(    0.000000    0.000000    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.191726   -0.004956    0.151307    0.161091    0.257363
         0.321913    0.332317    0.481204


 k=(   -0.111111    0.000000    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.176519   -0.023141    0.111370    0.155651    0.281339
         0.328290    0.337440    0.461766


 k=(   -0.222222    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.152342   -0.038134    0.060076    0.137691    0.279462
         0.373190    0.377652    0.452521


 k=(   -0.333333    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.124007   -0.058976    0.036257    0.118807    0.258603
         0.404387    0.428123    0.450179


 k=(    0.555556    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.119176   -0.062839    0.047187    0.106202    0.244605
         0.327302    0.454202    0.460141


 k=(    0.444444   -0.111111    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.118868   -0.063259    0.072112    0.081943    0.257463
         0.270762    0.457607    0.523604


 k=(    0.333333   -0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.146783   -0.032861    0.085062    0.097814    0.232360
         0.275061    0.467856    0.474235


 k=(    0.222222   -0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.166688   -0.007691    0.083198    0.110894    0.262542
         0.302066    0.396020    0.452981


 k=(    0.111111   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.176689   -0.005619    0.085432    0.139694    0.296400
         0.331720    0.369081    0.391398


 k=(    0.000000   -0.111111    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.176397   -0.023493    0.110347    0.157350    0.281610
         0.328647    0.336164    0.462672


 k=(   -0.111111   -0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.166289   -0.040602    0.126867    0.133599    0.274889
         0.318470    0.353202    0.444526


 k=(   -0.222222   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147758   -0.051454    0.082385    0.122719    0.299939
         0.314568    0.395329    0.434593


 k=(   -0.333333   -0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.123312   -0.061840    0.047547    0.101705    0.291928
         0.359419    0.411571    0.436653


 k=(    0.555556   -0.111111    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.098350   -0.082135    0.046732    0.085855    0.274170
         0.327783    0.436611    0.447007


 k=(    0.444444   -0.222222    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.103824   -0.075770    0.050269    0.081366    0.269317
         0.332584    0.437510    0.446859


 k=(    0.333333   -0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.119082   -0.064066    0.053300    0.101401    0.239504
         0.331991    0.459743    0.463012


 k=(    0.222222   -0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.137012   -0.046001    0.062238    0.097029    0.275975
         0.342875    0.379812    0.469708


 k=(    0.111111   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.148575   -0.033778    0.051532    0.119775    0.310980
         0.340632    0.373949    0.444224


 k=(    0.000000   -0.222222    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.151968   -0.038971    0.059406    0.139048    0.280930
         0.372465    0.376137    0.453070


 k=(   -0.111111   -0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147577   -0.051721    0.080873    0.124582    0.299077
         0.316592    0.393400    0.434706


 k=(   -0.222222   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137433   -0.058847    0.070381    0.119644    0.262528
         0.378405    0.393958    0.419438


 k=(    0.333333    0.222222    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.124442   -0.060215    0.049720    0.098912    0.287985
         0.364064    0.412474    0.437209


 k=(    0.444444    0.222222    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.110733   -0.066668    0.050318    0.071265    0.336382
         0.340516    0.363386    0.427989


 k=(    0.444444    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.128720   -0.051065    0.044877    0.098908    0.286739
         0.359034    0.421251    0.435619


 k=(    0.333333    0.666667    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.127784   -0.052389    0.038187    0.113690    0.253580
         0.409929    0.432816    0.446085


 k=(    0.222222    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.125659   -0.057787    0.048636    0.098820    0.286493
         0.365122    0.415326    0.435246


 k=(    0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.123821   -0.060524    0.045378    0.103139    0.293491
         0.356834    0.413216    0.435309


 k=(    0.000000   -0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.122987   -0.060666    0.035884    0.119868    0.260037
         0.402915    0.426782    0.452103


 k=(   -0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.122829   -0.062465    0.046387    0.103090    0.293386
         0.358542    0.411615    0.435557


 k=(    0.222222    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.124351   -0.060272    0.049078    0.099591    0.287912
         0.365009    0.412920    0.436051


 k=(    0.333333    0.333333    0.666667):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.126837   -0.054161    0.037859    0.114911    0.254975
         0.408005    0.431373    0.447449


 k=(    0.444444    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.128385   -0.051634    0.044308    0.099738    0.288256
         0.357228    0.420253    0.436353


 k=(    0.444444    0.555556    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.152528   -0.038828    0.075014    0.122229    0.296582
         0.313465    0.387420    0.435276


 k=(    0.333333    0.555556    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.155860   -0.027442    0.057641    0.132138    0.274607
         0.371078    0.375212    0.457841


 k=(    0.222222    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.151294   -0.025699    0.051969    0.112824    0.304378
         0.342587    0.374954    0.445564


 k=(    0.111111    0.555556    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.138392   -0.042002    0.058483    0.097351    0.283059
         0.336438    0.374377    0.468489


 k=(    0.000000    0.555556    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.118175   -0.064404    0.046797    0.107106    0.245946
         0.326082    0.454767    0.460112


 k=(   -0.111111    0.555556    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.096862   -0.083724    0.045854    0.086795    0.275529
         0.326537    0.436258    0.447032


 k=(    0.222222    0.444444    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.110887   -0.066393    0.050069    0.071365    0.335163
         0.342000    0.363202    0.427838


 k=(    0.333333    0.444444    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.128530   -0.051427    0.044811    0.099060    0.288417
         0.356235    0.419913    0.437034


 k=(    0.555556    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.142804   -0.046043    0.061826    0.120757    0.262904
         0.372699    0.384135    0.423528


 k=(    0.444444    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163847   -0.014654    0.079465    0.115497    0.257613
         0.350930    0.383063    0.396724


 k=(    0.333333    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.178684    0.004641    0.083118    0.132083    0.294920
         0.325549    0.373513    0.388908


 k=(    0.222222    0.444444    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.183484    0.013790    0.073506    0.149334    0.292269
         0.355917    0.361016    0.408687


 k=(    0.111111    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.177832   -0.000464    0.087538    0.131552    0.299992
         0.324683    0.368965    0.394053


 k=(    0.000000    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162055   -0.021399    0.080184    0.120006    0.262074
         0.346426    0.384274    0.399405


 k=(   -0.111111    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.137524   -0.043854    0.056449    0.100984    0.282025
         0.336601    0.378276    0.465074


 k=(   -0.222222    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.109177   -0.068895    0.048708    0.073669    0.333108
         0.345502    0.363432    0.426100


 k=(    0.666667    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.112456   -0.063964    0.051192    0.069272    0.337814
         0.338053    0.362675    0.429755


 k=(    0.555556    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.140388   -0.036832    0.058084    0.094514    0.278395
         0.340462    0.374233    0.466244


 k=(    0.444444    0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.178853    0.005364    0.084202    0.129988    0.295902
         0.323516    0.373580    0.390574


 k=(    0.333333    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.197827    0.026705    0.130892    0.138763    0.276975
         0.322438    0.350557    0.393207


 k=(    0.222222    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.206437    0.047956    0.117317    0.164406    0.289256
         0.323536    0.331203    0.417057


 k=(    0.111111    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.204006    0.054920    0.107679    0.145552    0.283498
         0.330661    0.358211    0.376615


 k=(    0.000000    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190593    0.031316    0.105535    0.123641    0.252636
         0.313228    0.392887    0.405359


 k=(   -0.111111    0.333333    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.167199   -0.005095    0.082319    0.109056    0.263006
         0.302455    0.393302    0.453066


 k=(   -0.222222    0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.138137   -0.043391    0.063326    0.094085    0.275206
         0.344130    0.377317    0.471418


 k=(    0.666667    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.127080   -0.055215    0.049559    0.096528    0.285343
         0.363223    0.416729    0.437020


 k=(    0.555556    0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.151793   -0.024128    0.052157    0.111361    0.302948
         0.343505    0.374630    0.445655


 k=(    0.444444    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.183773    0.015597    0.073380    0.147458    0.291081
         0.357316    0.360451    0.409210


 k=(    0.333333    0.222222    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.206524    0.048686    0.118372    0.162031    0.289125
         0.325843    0.329574    0.416745


 k=(    0.222222    0.222222    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.219181    0.072758    0.160971    0.166122    0.267124
         0.317475    0.321940    0.423777


 k=(    0.111111    0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.220676    0.093172    0.145528    0.153360    0.275189
         0.319898    0.347343    0.375287


 k=(    0.000000    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.210869    0.078116    0.127912    0.136014    0.245561
         0.327607    0.384307    0.385156


 k=(   -0.111111    0.222222    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190415    0.028935    0.115568    0.116677    0.249022
         0.315277    0.394312    0.409230


 k=(   -0.222222    0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162092   -0.022425    0.089521    0.112171    0.254742
         0.352563    0.384961    0.405598


 k=(   -0.333333    0.222222    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140035   -0.053446    0.069886    0.117188    0.259951
         0.377286    0.393346    0.422363


 k=(    0.555556    0.222222    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.154995   -0.031129    0.062157    0.129967    0.273226
         0.374366    0.381600    0.454494


 k=(    0.444444    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.178216    0.001461    0.087588    0.129644    0.299631
         0.322905    0.370133    0.394401


 k=(    0.333333    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.204130    0.056571    0.107606    0.143627    0.283984
         0.330169    0.357393    0.376766


 k=(    0.222222    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.220701    0.093809    0.146689    0.151379    0.275397
         0.320740    0.346217    0.374611


 k=(    0.111111    0.111111    0.222222):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.226243    0.106393    0.143591    0.179175    0.300818
         0.306951    0.310926    0.384919


 k=(    0.000000    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.220383    0.085662    0.150711    0.156397    0.277136
         0.321850    0.347010    0.374142


 k=(   -0.111111    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.203485    0.048555    0.108100    0.153143    0.281907
         0.331463    0.361629    0.376206


 k=(   -0.222222    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.177276   -0.003076    0.086326    0.136401    0.293852
         0.327263    0.373319    0.396407


 k=(   -0.333333    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149585   -0.046877    0.079544    0.122953    0.296908
         0.315049    0.392601    0.437474


 k=(    0.555556    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.150331   -0.045094    0.080391    0.120414    0.301111
         0.311301    0.393565    0.431266


 k=(    0.444444    0.000000    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162506   -0.019756    0.079864    0.119134    0.260821
         0.347619    0.383538    0.399166


 k=(    0.333333    0.000000    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190700    0.032242    0.105494    0.122791    0.252241
         0.313745    0.392066    0.405020


 k=(    0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.210861    0.077716    0.129406    0.135019    0.245629
         0.327374    0.384345    0.384928


 k=(    0.111111    0.000000    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.220352    0.084853    0.150578    0.157677    0.276967
         0.320897    0.348027    0.374534


 k=(    0.000000    0.000000    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.218517    0.063265    0.163599    0.173758    0.271434
         0.317864    0.326195    0.419680


 k=(   -0.111111    0.000000    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.205483    0.038375    0.120447    0.172019    0.292831
         0.322320    0.336523    0.414033


 k=(   -0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.182311    0.007084    0.073798    0.156539    0.296774
         0.350953    0.363578    0.406605


 k=(   -0.333333    0.000000    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.153243   -0.035138    0.057780    0.138055    0.279509
         0.370363    0.375182    0.455497


 k=(    0.555556    0.000000    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139447   -0.053577    0.062503    0.124558    0.266343
         0.373718    0.385631    0.419845


 k=(    0.444444   -0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.137953   -0.042798    0.056164    0.100723    0.280667
         0.337678    0.378607    0.464037


 k=(    0.333333   -0.111111    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.167172   -0.005287    0.082582    0.109026    0.263169
         0.302176    0.393348    0.452869


 k=(    0.222222   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190281    0.027689    0.115744    0.117848    0.249568
         0.314356    0.394763    0.409860


 k=(    0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.203346    0.046846    0.108665    0.154735    0.281649
         0.331485    0.362454    0.376068


 k=(    0.000000   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.205389    0.037630    0.119883    0.173917    0.293090
         0.320697    0.337449    0.414454


 k=(   -0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.196325    0.015937    0.136752    0.143678    0.280373
         0.318688    0.361161    0.394059


 k=(   -0.222222   -0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.176801   -0.005668    0.088620    0.136098    0.296585
         0.326749    0.371171    0.398541


 k=(   -0.333333   -0.111111    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.149120   -0.032237    0.051555    0.118589    0.309156
         0.341798    0.373772    0.444160


 k=(   -0.444444   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.124650   -0.058684    0.043495    0.104324    0.291498
         0.359781    0.416543    0.433589


 k=(    0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.109004   -0.069186    0.048927    0.073597    0.333654
         0.344636    0.363678    0.426242


 k=(    0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.137599   -0.044765    0.063864    0.094395    0.276460
         0.342834    0.377211    0.472423


 k=(    0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.161587   -0.024226    0.089666    0.113439    0.255905
         0.351150    0.385430    0.406299


 k=(    0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.176862   -0.005076    0.086631    0.138046    0.294436
         0.328690    0.372185    0.396072


 k=(    0.000000   -0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.182005    0.005363    0.074113    0.158073    0.298214
         0.349422    0.364454    0.406002


 k=(   -0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.176624   -0.006346    0.087750    0.137878    0.295844
         0.328404    0.371136    0.397144


 k=(   -0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.161080   -0.025990    0.089941    0.114486    0.257167
         0.349719    0.386087    0.406793


 k=(   -0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.136764   -0.046724    0.063570    0.095975    0.277560
         0.341520    0.378396    0.472113


 k=(   -0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.107946   -0.070726    0.048706    0.074364    0.334377
         0.344318    0.364142    0.425315


 k=(    0.444444    0.666667    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.111559   -0.065399    0.050796    0.070291    0.336937
         0.339375    0.363061    0.428952


 k=(    0.333333    0.666667    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.125848   -0.057647    0.049930    0.097427    0.286640
         0.363177    0.414406    0.437708


 k=(   -0.222222    0.333333   -0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.138769   -0.056122    0.070085    0.118500    0.261181
         0.377727    0.393776    0.420941


 k=(    0.111111   -0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148512   -0.049424    0.079465    0.124717    0.297524
         0.316830    0.392027    0.436174


 k=(    0.000000   -0.333333    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.152430   -0.037477    0.058273    0.139234    0.280952
         0.370955    0.374961    0.454686


 k=(   -0.111111   -0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.148562   -0.033833    0.051574    0.119793    0.310873
         0.340900    0.373762    0.444041


 k=(   -0.222222   -0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.136467   -0.047329    0.062758    0.097274    0.277310
         0.341552    0.379674    0.470816


 k=(   -0.333333   -0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.117834   -0.066071    0.053015    0.102460    0.240816
         0.330649    0.460540    0.462885


 k=(   -0.444444   -0.333333    0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.102500   -0.077405    0.049518    0.082441    0.270655
         0.331196    0.436908    0.447374


 k=(    0.444444    0.555556    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.140104   -0.037517    0.057408    0.095801    0.278084
         0.340487    0.375592    0.464868


 k=(    0.333333    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.151261   -0.025860    0.052107    0.112862    0.304200
         0.343207    0.374399    0.445175


 k=(    0.222222    0.555556    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.154219   -0.033462    0.062436    0.131471    0.274484
         0.374901    0.381534    0.453166


 k=(    0.111111    0.555556    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149303   -0.047580    0.080160    0.122303    0.301370
         0.313461    0.393054    0.429911


 k=(    0.000000    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.138214   -0.056176    0.062903    0.125531    0.267719
         0.374551    0.385588    0.418461


 k=(    0.111111    0.444444   -0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.123402   -0.060990    0.043869    0.105001    0.292994
         0.359557    0.414599    0.433525


 k=(    0.222222    0.444444   -0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.106994   -0.072043    0.048267    0.075208    0.334433
         0.344968    0.364348    0.424278


 k=(    0.333333    0.444444   -0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.102609   -0.077255    0.049457    0.082448    0.270667
         0.331228    0.436351    0.447795


 k=(    0.555556    0.555556    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.122080   -0.058063    0.048620    0.102784    0.241160
         0.330665    0.454367    0.458358


 k=(    0.444444    0.444444    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.148093   -0.028422    0.079756    0.099123    0.234170
         0.274385    0.465234    0.466810


 k=(    0.333333    0.444444    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.167858   -0.001897    0.083111    0.104911    0.264325
         0.302275    0.389321    0.453081


 k=(    0.222222    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.177777   -0.001111    0.089579    0.130079    0.299531
         0.322729    0.370264    0.397664


 k=(    0.111111    0.444444    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.177453   -0.020014    0.115319    0.147881    0.279876
         0.326824    0.340125    0.461868


 k=(    0.000000    0.444444    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.167339   -0.037311    0.117211    0.141045    0.275484
         0.323674    0.343949    0.439807


 k=(   -0.111111    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148771   -0.048358    0.075758    0.127911    0.298448
         0.319577    0.387608    0.430243


 k=(   -0.222222    0.444444    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.124163   -0.059854    0.044905    0.103572    0.289903
         0.363229    0.415765    0.433016


 k=(    0.666667    0.444444    0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.100055   -0.080198    0.047435    0.084931    0.272790
         0.329173    0.436069    0.447547


 k=(    0.555556    0.444444    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.120409   -0.060540    0.073442    0.079064    0.258865
         0.269835    0.453032    0.522892


 k=(    0.444444    0.333333    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.168095   -0.000604    0.082953    0.103709    0.264691
         0.302328    0.387920    0.453377


 k=(    0.333333    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.191043    0.035429    0.106022    0.118940    0.251046
         0.315687    0.391166    0.402553


 k=(    0.222222    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.203996    0.054660    0.107966    0.145626    0.283559
         0.330791    0.357826    0.376318


 k=(    0.111111    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.205964    0.042384    0.123078    0.163269    0.291700
         0.328164    0.331835    0.413670


 k=(    0.000000    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.196856    0.019747    0.131709    0.144406    0.280424
         0.325361    0.352934    0.388704


 k=(   -0.111111    0.333333    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.177322   -0.002376    0.084163    0.137697    0.296908
         0.330618    0.368930    0.389444


 k=(   -0.222222    0.333333    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.149713   -0.030422    0.051336    0.117354    0.307633
         0.342034    0.374300    0.444863


 k=(   -0.333333    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.125677   -0.057365    0.046618    0.100406    0.290637
         0.356957    0.414942    0.437012


 k=(    0.555556    0.333333    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.139100   -0.040531    0.060495    0.094447    0.280701
         0.339026    0.373019    0.470318


 k=(    0.444444    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.178191    0.001137    0.088648    0.128865    0.299400
         0.321935    0.370797    0.396212


 k=(    0.333333    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.204127    0.056467    0.107724    0.143650    0.284008
         0.330220    0.357244    0.376656


 k=(    0.222222    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.220727    0.094604    0.147490    0.149574    0.275581
         0.321741    0.344987    0.373970


 k=(    0.111111    0.222222    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.226302    0.108558    0.142959    0.176987    0.300259
         0.308544    0.309943    0.384779


 k=(    0.000000    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.220477    0.088049    0.148340    0.155972    0.276890
         0.322530    0.345810    0.373748


 k=(   -0.111111    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.203619    0.050249    0.107505    0.151675    0.282192
         0.331343    0.360706    0.376262


 k=(   -0.222222    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.177452   -0.002359    0.087155    0.134624    0.294555
         0.325570    0.373432    0.397848


 k=(   -0.333333    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149760   -0.046606    0.081075    0.121059    0.297712
         0.313052    0.394606    0.437365


 k=(    0.555556    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.150344   -0.045223    0.081970    0.118845    0.301718
         0.309430    0.395458    0.432245


 k=(    0.444444    0.111111    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.178025   -0.017849    0.115187    0.146172    0.279070
         0.325753    0.339814    0.462658


 k=(    0.333333    0.111111    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.206172    0.044449    0.122763    0.161207    0.290886
         0.328673    0.330725    0.414236


 k=(    0.222222    0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.226359    0.110655    0.142792    0.174385    0.300298
         0.308568    0.309987    0.384591


 k=(    0.111111    0.111111    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.235789    0.148232    0.174419    0.180017    0.282238
         0.301272    0.304845    0.349434


 k=(    0.000000    0.111111    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.233764    0.147011    0.161172    0.172776    0.273605
         0.320307    0.324121    0.340909


 k=(   -0.111111    0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.220402    0.086405    0.145001    0.162121    0.275464
         0.318224    0.350772    0.376479


 k=(   -0.222222    0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.196841    0.019439    0.134102    0.143111    0.278276
         0.317388    0.360190    0.396399


 k=(   -0.333333    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.167809   -0.036197    0.126452    0.131086    0.272952
         0.316292    0.352388    0.447132


 k=(    0.555556    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155137   -0.055265    0.116830    0.135249    0.272572
         0.318025    0.344037    0.496800


 k=(    0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.168068   -0.035148    0.116594    0.140251    0.274560
         0.322028    0.344017    0.441094


 k=(    0.333333    0.000000    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.197101    0.021456    0.130756    0.143852    0.279459
         0.324270    0.352726    0.389824


 k=(    0.222222    0.000000    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.220538    0.089581    0.147110    0.155570    0.276530
         0.322193    0.345684    0.373747


 k=(    0.111111    0.000000    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.233763    0.145870    0.163408    0.171786    0.273552
         0.320947    0.323376    0.340860


 k=(    0.000000    0.000000    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.235647    0.136382    0.178650    0.189974    0.287609
         0.298056    0.304083    0.346953


 k=(   -0.111111    0.000000    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.226068    0.101512    0.142995    0.186968    0.298954
         0.306191    0.313206    0.385251


 k=(   -0.222222    0.000000    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.205727    0.041011    0.117742    0.172681    0.291418
         0.319572    0.336699    0.415819


 k=(   -0.333333    0.000000    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.177461   -0.019466    0.108160    0.156635    0.280125
         0.325592    0.335533    0.463873


 k=(   -0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.154838   -0.055608    0.108377    0.144957    0.274091
         0.322411    0.335639    0.495612


 k=(    0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149631   -0.046142    0.074453    0.127989    0.297138
         0.319589    0.386173    0.431659


 k=(    0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.177537   -0.001166    0.083119    0.137890    0.295571
         0.330873    0.370024    0.388124


 k=(    0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.203613    0.050110    0.107646    0.151740    0.282222
         0.331410    0.360490    0.376068


 k=(    0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.220334    0.084700    0.146472    0.162612    0.275857
         0.318428    0.350807    0.376199


 k=(    0.000000   -0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.226008    0.099680    0.143635    0.188899    0.299350
         0.304824    0.314155    0.385264


 k=(   -0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.220266    0.083092    0.148034    0.162865    0.276278
         0.318710    0.350810    0.375957


 k=(   -0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.203476    0.048345    0.108308    0.153255    0.281950
         0.331568    0.361291    0.375892


 k=(   -0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.177336   -0.002206    0.083269    0.138972    0.294618
         0.331607    0.370628    0.388447


 k=(   -0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149469   -0.046544    0.074438    0.128379    0.296559
         0.320096    0.386043    0.432765


 k=(   -0.444444    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.125019   -0.058115    0.043994    0.103618    0.289926
         0.361649    0.417289    0.433129


 k=(   -0.333333    0.222222   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.149691   -0.030517    0.051413    0.117382    0.307494
         0.342447    0.373971    0.444586


 k=(   -0.222222    0.222222   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.177215   -0.003683    0.088332    0.134487    0.295878
         0.325344    0.372334    0.398912


 k=(   -0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.196584    0.017672    0.135164    0.143701    0.279280
         0.317961    0.360761    0.395231


 k=(    0.000000    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.205512    0.038924    0.118555    0.174263    0.292349
         0.319294    0.337574    0.415377


 k=(    0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.203342    0.046771    0.108737    0.154779    0.281663
         0.331523    0.362330    0.375949


 k=(    0.222222    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190150    0.026523    0.116412    0.118405    0.250125
         0.313495    0.395412    0.410316


 k=(   -0.333333   -0.222222    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.166914   -0.006627    0.083100    0.109912    0.262947
         0.301967    0.394730    0.452750


 k=(   -0.444444   -0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.137655   -0.043692    0.056981    0.100687    0.279141
         0.339163    0.379658    0.464085


 k=(    0.555556    0.333333   -0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.099911   -0.080383    0.047492    0.084928    0.272777
         0.329143    0.436608    0.447144


 k=(   -0.333333    0.333333   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.124766   -0.059253    0.047658    0.100366    0.290515
         0.358607    0.413341    0.437316


 k=(   -0.222222    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148867   -0.048886    0.082508    0.120959    0.299183
         0.312816    0.395963    0.435950


 k=(   -0.111111    0.333333   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.167059   -0.038397    0.126199    0.132839    0.273878
         0.317247    0.352928    0.445857


 k=(    0.000000    0.333333   -0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.176875   -0.021660    0.108752    0.157862    0.280971
         0.326917    0.335586    0.463743


 k=(    0.111111    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.176913   -0.004416    0.084386    0.139903    0.294981
         0.332022    0.370147    0.390155


 k=(    0.222222    0.333333   -0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.166672   -0.007801    0.083340    0.110887    0.262635
         0.301903    0.396049    0.452856


 k=(    0.333333    0.333333   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.146509   -0.033674    0.084692    0.098819    0.233293
         0.274001    0.468384    0.474699


 k=(    0.444444    0.333333   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.118338   -0.064203    0.072567    0.082027    0.257519
         0.270547    0.458813    0.523807


 k=(    0.444444    0.555556    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.119992   -0.061302    0.073413    0.079543    0.258584
         0.269980    0.454251    0.523148


 k=(    0.333333    0.555556    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.138360   -0.042583    0.061741    0.094656    0.280511
         0.339286    0.373854    0.471443


 k=(    0.222222    0.555556    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149323   -0.047845    0.083241    0.119245    0.302395
         0.309922    0.396700    0.431965


 k=(    0.111111    0.555556    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153920   -0.057955    0.116832    0.136811    0.273417
         0.319079    0.344450    0.497732


 k=(    0.000000    0.444444   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153616   -0.058305    0.108899    0.145941    0.274953
         0.324399    0.335148    0.496415


 k=(    0.111111    0.444444   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148434   -0.049162    0.075703    0.128707    0.297264
         0.320600    0.387292    0.432549


 k=(    0.222222    0.444444   -0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.136901   -0.045669    0.058081    0.100919    0.279018
         0.339413    0.380426    0.465295


 k=(    0.333333    0.444444   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.117911   -0.064930    0.072531    0.082451    0.257262
         0.270704    0.459933    0.523801


 k=(    0.444444    0.444444   -0.111111):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.097423   -0.087859    0.072581    0.092231    0.228499
         0.259435    0.528378    0.538708


 k=(    0.444444    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.123118   -0.061980    0.090945    0.093294    0.221015
         0.236295    0.531194    0.531416


 k=(    0.333333    0.444444    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.147014   -0.031846    0.080332    0.101475    0.235199
         0.272648    0.465670    0.472593


 k=(    0.222222    0.444444    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.161838   -0.022710    0.083714    0.117899    0.259357
         0.348786    0.383675    0.402892


 k=(    0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.167217   -0.037789    0.119822    0.138847    0.274792
         0.320160    0.348542    0.442138


 k=(    0.000000    0.444444    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.163946   -0.052737    0.143102    0.154966    0.249007
         0.315592    0.328766    0.485762


 k=(   -0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153737   -0.058162    0.111359    0.143061    0.274257
         0.321009    0.340190    0.496835


 k=(    0.222222    0.555556    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.138409   -0.056212    0.065488    0.123149    0.264770
         0.375652    0.389638    0.419051


 k=(    0.333333    0.555556    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.118400   -0.064532    0.049295    0.105177    0.243078
         0.328643    0.456207    0.461729


 k=(    0.555556    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.094496   -0.090857    0.070284    0.094613    0.230605
         0.257360    0.527465    0.538205


 k=(    0.444444    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.147336   -0.030770    0.079333    0.101532    0.235380
         0.272709    0.464766    0.471275


 k=(    0.333333    0.333333    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.173498    0.006267    0.104566    0.107188    0.225474
         0.272936    0.455900    0.456290


 k=(    0.222222    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190450    0.029512    0.109519    0.121865    0.251428
         0.313571    0.392909    0.407796


 k=(    0.111111    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.196739    0.018807    0.133557    0.143827    0.279975
         0.321695    0.356744    0.391246


 k=(    0.000000    0.333333    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.192133   -0.003020    0.149491    0.161435    0.256513
         0.319815    0.332535    0.480942


 k=(   -0.111111    0.333333    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.177114   -0.020947    0.110750    0.154502    0.280407
         0.326323    0.338042    0.461898


 k=(   -0.222222    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.153168   -0.035773    0.059567    0.136535    0.277953
         0.372254    0.378218    0.453479


 k=(   -0.333333    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.125015   -0.057237    0.036565    0.117759    0.257118
         0.406121    0.429582    0.448211


 k=(    0.555556    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.119312   -0.062855    0.048405    0.105243    0.243147
         0.328630    0.454879    0.460948


 k=(    0.444444    0.222222    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162404   -0.020412    0.081619    0.118094    0.259437
         0.348928    0.383094    0.400953


 k=(    0.333333    0.222222    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190631    0.031340    0.107464    0.121914    0.251604
         0.313986    0.392013    0.406303


 k=(    0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.210857    0.077481    0.130658    0.134063    0.245669
         0.327235    0.384463    0.384695


 k=(    0.111111    0.222222    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.220415    0.086354    0.148841    0.157803    0.276562
         0.320532    0.347971    0.374609


 k=(    0.000000    0.222222    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.218653    0.065140    0.161533    0.173916    0.270417
         0.316402    0.326753    0.420515


 k=(   -0.111111    0.222222    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.205699    0.040463    0.119603    0.170512    0.291795
         0.322339    0.335973    0.414493


 k=(   -0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.182616    0.008881    0.073400    0.155028    0.295248
         0.352614    0.362699    0.407218


 k=(   -0.333333    0.222222    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.153608   -0.034271    0.058404    0.136712    0.277978
         0.370926    0.376935    0.454843


 k=(    0.555556    0.222222    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139547   -0.053589    0.063785    0.123376    0.264842
         0.374302    0.387695    0.420089


 k=(    0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.168009   -0.035387    0.117866    0.139185    0.274207
         0.320252    0.346357    0.442241


 k=(    0.333333    0.111111    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.197044    0.020977    0.131709    0.143537    0.279228
         0.322408    0.354688    0.391090


 k=(    0.222222    0.111111    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.220508    0.088692    0.147584    0.156286    0.276370
         0.321146    0.346829    0.374216


 k=(    0.111111    0.111111    0.000000):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.233762    0.145280    0.164913    0.170934    0.273520
         0.321744    0.322515    0.340830


 k=(    0.000000    0.111111    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.235676    0.138601    0.176184    0.189853    0.286254
         0.297706    0.305430    0.347447


 k=(   -0.111111    0.111111    0.000000):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.226129    0.103532    0.142095    0.185152    0.298392
         0.307904    0.312056    0.385218


 k=(   -0.222222    0.111111    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.205820    0.041806    0.118226    0.170826    0.291125
         0.321018    0.335998    0.415355


 k=(   -0.333333    0.111111    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.177579   -0.019106    0.109137    0.154973    0.279832
         0.325245    0.336820    0.462937


 k=(   -0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.154898   -0.055537    0.109582    0.143541    0.273735
         0.320733    0.338157    0.495775


 k=(   -0.444444    0.000000    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.164956   -0.050277    0.141997    0.154710    0.248291
         0.314325    0.328092    0.484902


 k=(   -0.333333    0.000000    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.192533   -0.001082    0.148280    0.161094    0.255730
         0.318589    0.331907    0.481177


 k=(   -0.222222    0.000000    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.218787    0.067038    0.160068    0.173390    0.269484
         0.315637    0.326608    0.421335


 k=(   -0.111111    0.000000    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.235705    0.140949    0.174213    0.189060    0.285030
         0.297939    0.306113    0.347930


 k=(    0.000000    0.000000    0.000000):       259 3-d basis functions
 the   8 eigenvalues are:
        -0.241473    0.181194    0.187161    0.199951    0.284113
         0.290735    0.294205    0.304347


 fermi energy and band-weighting factors:

FERMIE:
          first approx. to ef    (T=0)  :  0.199951 htr   (energy of the highest occ. eigenvalue)
          number of occ. states  (T=0)  :      1460
          first approx. to seigv (T=0)  :  0.066871 htr
          sum of weights of occ. states :  4.000000
          sum of semicore eigenvalues   :  0.000000 htr
          sum of semicore charge        :  0.000000 e



FERHIS:  Fermi-Energy by histogram:

          bandgap                     :   0.020366 htr
          charge neutrality (T=0)     :   0.000000    (zero if the highest occ. eigenvalue is "entirely" occupied)

          no eigenvalues within 8 tkb of ef reverts to the t=0 k method.
          number of occ. states       :      1460
          sum of the valence weights  :   4.000000
          entropy         :   0.000000 *kb htr/K =   0.00000 htr/K

          sum of val. single particle energies:         0.0668714603 htr



          valence density: spin= 1

     l-like charge
     atom     s        p        d        f        total
 --> 1    0.90181  1.19002  0.08485  0.00641    2.18491
 --> 2    0.90181  1.19002  0.08485  0.00641    2.18491
 Energy Parameters for spin:           1
 Max. mismatch of energy parameters:    0.000000

     energy parameters for window 1
     atom     s        p        d        f
 -->  1   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0
 -->  2   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0

          total charge for spin  1=    8.000000
          interst. charge =       3.630187
          mt charge=              2.184907    2.184907

          total charge  =    8.000000


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.2176        2.
               2.   0.   0.5   -4.7227        2.
               2.   1.   0.5   -3.1234        2.
               2.   1.   1.5   -3.0996        4.
          atom type  1  (spin 1) 
          kinetic energy=  0.285339986432E+03     sum of the eigenvalues= -0.158525946474E+03
          0.00180297  electrons lost from core.


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.2176        2.
               2.   0.   0.5   -4.7227        2.
               2.   1.   0.5   -3.1234        2.
               2.   1.   1.5   -3.0996        4.
          atom type  2  (spin 1) 
          kinetic energy=  0.285339986433E+03     sum of the eigenvalues= -0.158525946487E+03
          0.00180297  electrons lost from core.

          alpha=   1.39398     acoff=   0.09754

          alpha=   1.39398     acoff=   0.09754

          total charge for spin  1=   28.000000
          interst. charge =       3.633691
          mt charge=             12.183154   12.183154

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.633691
          mt charge=             12.183154   12.183154

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*



     t o t a l  e n e r g y

          sum of eigenvalues =              -316.9850215004

          density-coulomb potential int     -845.0240353414

          density-effective potential i     -898.8883637483

          charge density-ex.-corr.energ      -41.7077295066
 
 FORCES: EQUATION A3 FOR ATOM TYPE   1
 FX_A3= -0.016020  0.000000 FY_A3= -0.010289  0.000000 FZ_A3= -0.004019  0.000000
 FORCES: EQUATION A3 FOR ATOM TYPE   2
 FX_A3=  0.016020  0.000000 FY_A3=  0.010289  0.000000 FZ_A3=  0.004019  0.000000

          el.-nucl. inter. diff. m.t.        342.3107933861

          Madelung term for atom type:        -6.5688226745

          el.-nucl. inter. diff. m.t.        342.3107933684

          Madelung term for atom type:        -6.5688226814


 ----> total energy=                        -580.0756370399 htr

 ***** TOTAL FORCES ON ATOMS ***** 

 TOTAL FORCE FOR ATOM TYPE=  1  X=  1.292   Y=  1.292   Z=  1.292
                       FX_TOT=-0.016020 FY_TOT=-0.010289 FZ_TOT=-0.004019
 TOTAL FORCE FOR ATOM TYPE=  2  X= -1.369   Y= -1.344   Z= -1.318
                       FX_TOT= 0.016020 FY_TOT= 0.010289 FZ_TOT= 0.004019
eps_force= 0.00001max= 0.00009


 ---->(tkb*entropy) TS=                        0.0000000000 htr


 ----> free energy=                         -580.0756370399 htr


      extrapolation for T->0
 ----> total electron energy=               -580.0756370399 htr
 wrtdop title:alpha Si                                                                ordered*
 wrtdop title:alpha Si                                                                ordered*

----> distance of charge densities for spin  1        it=  2:   6.391827 me/bohr**3

          total charge for spin  1=   28.000000
          interst. charge =       3.648298
          mt charge=             12.175851   12.175851

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.648298
          mt charge=             12.175851   12.175851

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*

     ******* it=  2  is completed********



             it=        3

          total charge for spin  1=   28.000000
          interst. charge =       3.648298
          mt charge=             12.175851   12.175851

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.648298
          mt charge=             12.175851   12.175851

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*


          p o t e n t i a l   g e n e r a t o r


          multipole moments for atom type=    1

  l   m                   original                      plane wave
  0   0          -0.51458E+00    0.00000E+00         0.78687E+00   -0.12865E-14
  1   0           0.14435E-02    0.00000E+00         0.11795E-02   -0.62171E-15
  1   1          -0.45746E-02    0.29007E-02        -0.37179E-02    0.23583E-02
  1  -1           0.45746E-02    0.29007E-02         0.37179E-02    0.23583E-02
  1   1          -0.45746E-02    0.29007E-02        -0.37179E-02    0.23583E-02
  1  -1           0.45746E-02    0.29007E-02         0.37179E-02    0.23583E-02
  2   0           0.53420E-03    0.00000E+00         0.51202E-03    0.86450E-17
  2   1           0.12655E-01   -0.19173E-01         0.12086E-01   -0.18285E-01
  2  -1          -0.12655E-01   -0.19173E-01        -0.12086E-01   -0.18285E-01
  2   2          -0.29692E-03    0.59872E-02        -0.28464E-03    0.57673E-02
  2  -2          -0.29692E-03   -0.59872E-02        -0.28464E-03   -0.57673E-02
  2   1           0.12655E-01   -0.19173E-01         0.12086E-01   -0.18285E-01
  2  -1          -0.12655E-01   -0.19173E-01        -0.12086E-01   -0.18285E-01
  2   2          -0.29692E-03    0.59872E-02        -0.28464E-03    0.57673E-02
  2  -2          -0.29692E-03   -0.59872E-02        -0.28464E-03   -0.57673E-02
  3   0          -0.86113E-02    0.00000E+00        -0.83643E-02   -0.98793E-15
  3   1          -0.10961E-01    0.73472E-02        -0.10585E-01    0.71002E-02
  3  -1           0.10961E-01    0.73472E-02         0.10585E-01    0.71002E-02
  3   2          -0.62778E-05    0.46391E+00        -0.54984E-05    0.45684E+00
  3  -2          -0.62778E-05   -0.46391E+00        -0.54984E-05   -0.45684E+00
  3   3           0.14131E-01    0.94503E-02         0.13647E-01    0.91358E-02
  3  -3          -0.14131E-01    0.94503E-02        -0.13647E-01    0.91358E-02
  3   1          -0.10961E-01    0.73472E-02        -0.10585E-01    0.71002E-02
  3  -1           0.10961E-01    0.73472E-02         0.10585E-01    0.71002E-02
  3   2          -0.62778E-05    0.46391E+00        -0.54984E-05    0.45684E+00
  3  -2          -0.62778E-05   -0.46391E+00        -0.54984E-05   -0.45684E+00
  3   3           0.14131E-01    0.94503E-02         0.13647E-01    0.91358E-02
  3  -3          -0.14131E-01    0.94503E-02        -0.13647E-01    0.91358E-02
  4   0          -0.27737E+00    0.00000E+00        -0.27338E+00    0.67110E-15
  4   1           0.18127E-03   -0.11253E-03         0.24266E-03   -0.21249E-03
  4  -1          -0.18127E-03   -0.11253E-03        -0.24266E-03   -0.21249E-03
  4   2          -0.32970E-03   -0.94632E-03        -0.32092E-03   -0.10004E-02
  4  -2          -0.32970E-03    0.94632E-03        -0.32092E-03    0.10004E-02
  4   3           0.39108E-03    0.24728E-03         0.55783E-03    0.51423E-03
  4  -3          -0.39108E-03    0.24728E-03        -0.55783E-03    0.51423E-03
  4   4          -0.16521E+00   -0.95486E-05        -0.16284E+00   -0.90697E-05
  4  -4          -0.16521E+00    0.95486E-05        -0.16284E+00    0.90697E-05
  4   1           0.18127E-03   -0.11253E-03         0.24266E-03   -0.21249E-03
  4  -1          -0.18127E-03   -0.11253E-03        -0.24266E-03   -0.21249E-03
  4   2          -0.32970E-03   -0.94632E-03        -0.32092E-03   -0.10004E-02
  4  -2          -0.32970E-03    0.94632E-03        -0.32092E-03    0.10004E-02
  4   3           0.39108E-03    0.24728E-03         0.55783E-03    0.51423E-03
  4  -3          -0.39108E-03    0.24728E-03        -0.55783E-03    0.51423E-03
  4   4          -0.16521E+00   -0.95486E-05        -0.16284E+00   -0.90697E-05
  4  -4          -0.16521E+00    0.95486E-05        -0.16284E+00    0.90697E-05
  5   0           0.55406E-02    0.00000E+00         0.54861E-02   -0.62281E-15
  5   1           0.51692E-02   -0.32213E-02         0.50247E-02   -0.31279E-02
  5  -1          -0.51692E-02   -0.32213E-02        -0.50247E-02   -0.31279E-02
  5   2           0.82305E-05    0.66725E-03         0.81138E-05    0.65477E-03
  5  -2           0.82305E-05   -0.66725E-03         0.81138E-05   -0.65477E-03
  5   3           0.19292E-01    0.12759E-01         0.18989E-01    0.12558E-01
  5  -3          -0.19292E-01    0.12759E-01        -0.18989E-01    0.12558E-01
  5   4          -0.51266E-02   -0.52474E-03        -0.50238E-02   -0.51489E-03
  5  -4          -0.51266E-02    0.52474E-03        -0.50238E-02    0.51489E-03
  5   5          -0.36147E-02    0.25580E-02        -0.36194E-02    0.25586E-02
  5  -5           0.36147E-02    0.25580E-02         0.36194E-02    0.25586E-02
  5   1           0.51692E-02   -0.32213E-02         0.50247E-02   -0.31279E-02
  5  -1          -0.51692E-02   -0.32213E-02        -0.50247E-02   -0.31279E-02
  5   2           0.82305E-05    0.66725E-03         0.81138E-05    0.65477E-03
  5  -2           0.82305E-05   -0.66725E-03         0.81138E-05   -0.65477E-03
  5   3           0.19292E-01    0.12759E-01         0.18989E-01    0.12558E-01
  5  -3          -0.19292E-01    0.12759E-01        -0.18989E-01    0.12558E-01
  5   4          -0.51266E-02   -0.52474E-03        -0.50238E-02   -0.51489E-03
  5  -4          -0.51266E-02    0.52474E-03        -0.50238E-02    0.51489E-03
  5   5          -0.36147E-02    0.25580E-02        -0.36194E-02    0.25586E-02
  5  -5           0.36147E-02    0.25580E-02         0.36194E-02    0.25586E-02
  6   0           0.11268E+00    0.00000E+00         0.11177E+00    0.11388E-14
  6   1          -0.70331E-02    0.10677E-01        -0.69839E-02    0.10604E-01
  6  -1           0.70331E-02    0.10677E-01         0.69839E-02    0.10604E-01
  6   2           0.13141E-03   -0.65788E-02         0.13046E-03   -0.65241E-02
  6  -2           0.13141E-03    0.65788E-02         0.13046E-03    0.65241E-02
  6   3          -0.46524E-02   -0.67648E-02        -0.46160E-02   -0.67124E-02
  6  -3           0.46524E-02   -0.67648E-02         0.46160E-02   -0.67124E-02
  6   4          -0.21166E+00   -0.69490E-05        -0.20995E+00   -0.70372E-05
  6  -4          -0.21166E+00    0.69490E-05        -0.20995E+00    0.70372E-05
  6   5          -0.10590E-01    0.15764E-01        -0.10510E-01    0.15649E-01
  6  -5           0.10590E-01    0.15764E-01         0.10510E-01    0.15649E-01
  6   6           0.19539E-03   -0.22851E-02         0.19400E-03   -0.22674E-02
  6  -6           0.19539E-03    0.22851E-02         0.19400E-03    0.22674E-02
  6   1          -0.70331E-02    0.10677E-01        -0.69839E-02    0.10604E-01
  6  -1           0.70331E-02    0.10677E-01         0.69839E-02    0.10604E-01
  6   2           0.13141E-03   -0.65788E-02         0.13046E-03   -0.65241E-02
  6  -2           0.13141E-03    0.65788E-02         0.13046E-03    0.65241E-02
  6   3          -0.46524E-02   -0.67648E-02        -0.46160E-02   -0.67124E-02
  6  -3           0.46524E-02   -0.67648E-02         0.46160E-02   -0.67124E-02
  6   4          -0.21166E+00   -0.69490E-05        -0.20995E+00   -0.70372E-05
  6  -4          -0.21166E+00    0.69490E-05        -0.20995E+00    0.70372E-05
  6   5          -0.10590E-01    0.15764E-01        -0.10510E-01    0.15649E-01
  6  -5           0.10590E-01    0.15764E-01         0.10510E-01    0.15649E-01
  6   6           0.19539E-03   -0.22851E-02         0.19400E-03   -0.22674E-02
  6  -6           0.19539E-03    0.22851E-02         0.19400E-03    0.22674E-02
  7   0           0.27089E-02    0.00000E+00         0.26933E-02    0.45938E-14
  7   1           0.54379E-02   -0.37458E-02         0.54273E-02   -0.37387E-02
  7  -1          -0.54379E-02   -0.37458E-02        -0.54273E-02   -0.37387E-02
  7   2           0.30869E-05   -0.14081E+00         0.30770E-05   -0.14093E+00
  7  -2           0.30869E-05    0.14081E+00         0.30770E-05    0.14093E+00
  7   3          -0.15336E-02   -0.10337E-02        -0.15179E-02   -0.10234E-02
  7  -3           0.15336E-02   -0.10337E-02         0.15179E-02   -0.10234E-02
  7   4           0.25475E-02   -0.38846E-03         0.25494E-02   -0.38929E-03
  7  -4           0.25475E-02    0.38846E-03         0.25494E-02    0.38929E-03
  7   5          -0.24152E-02    0.16829E-02        -0.24375E-02    0.16978E-02
  7  -5           0.24152E-02    0.16829E-02         0.24375E-02    0.16978E-02
  7   6           0.66926E-05   -0.12886E+00         0.66347E-05   -0.12897E+00
  7  -6           0.66926E-05    0.12886E+00         0.66347E-05    0.12897E+00
  7   7          -0.51277E-02   -0.35094E-02        -0.51073E-02   -0.34959E-02
  7  -7           0.51277E-02   -0.35094E-02         0.51073E-02   -0.34959E-02
  7   1           0.54379E-02   -0.37458E-02         0.54273E-02   -0.37387E-02
  7  -1          -0.54379E-02   -0.37458E-02        -0.54273E-02   -0.37387E-02
  7   2           0.30869E-05   -0.14081E+00         0.30770E-05   -0.14093E+00
  7  -2           0.30869E-05    0.14081E+00         0.30770E-05    0.14093E+00
  7   3          -0.15336E-02   -0.10337E-02        -0.15179E-02   -0.10234E-02
  7  -3           0.15336E-02   -0.10337E-02         0.15179E-02   -0.10234E-02
  7   4           0.25475E-02   -0.38846E-03         0.25494E-02   -0.38929E-03
  7  -4           0.25475E-02    0.38846E-03         0.25494E-02    0.38929E-03
  7   5          -0.24152E-02    0.16829E-02        -0.24375E-02    0.16978E-02
  7  -5           0.24152E-02    0.16829E-02         0.24375E-02    0.16978E-02
  7   6           0.66926E-05   -0.12886E+00         0.66347E-05   -0.12897E+00
  7  -6           0.66926E-05    0.12886E+00         0.66347E-05    0.12897E+00
  7   7          -0.51277E-02   -0.35094E-02        -0.51073E-02   -0.34959E-02
  7  -7           0.51277E-02   -0.35094E-02         0.51073E-02   -0.34959E-02
  8   0           0.57251E-01    0.00000E+00         0.61398E-01   -0.89107E-15
  8   1           0.91058E-03   -0.14488E-02         0.85092E-03   -0.13524E-02
  8  -1          -0.91058E-03   -0.14488E-02        -0.85092E-03   -0.13524E-02
  8   2           0.11398E-03    0.34037E-02         0.12363E-03    0.37171E-02
  8  -2           0.11398E-03   -0.34037E-02         0.12363E-03   -0.37171E-02
  8   3          -0.64760E-03   -0.84522E-03        -0.87251E-03   -0.11876E-02
  8  -3           0.64760E-03   -0.84522E-03         0.87251E-03   -0.11876E-02
  8   4           0.21004E-01    0.98217E-05         0.22560E-01    0.98356E-05
  8  -4           0.21004E-01   -0.98217E-05         0.22560E-01   -0.98356E-05
  8   5          -0.65002E-02    0.97676E-02        -0.69217E-02    0.10395E-01
  8  -5           0.65002E-02    0.97676E-02         0.69217E-02    0.10395E-01
  8   6           0.38383E-03   -0.17396E-02         0.38756E-03   -0.17878E-02
  8  -6           0.38383E-03    0.17396E-02         0.38756E-03    0.17878E-02
  8   7          -0.34634E-02   -0.50988E-02        -0.39055E-02   -0.57672E-02
  8  -7           0.34634E-02   -0.50988E-02         0.39055E-02   -0.57672E-02
  8   8           0.32378E-01   -0.46515E-06         0.34737E-01   -0.11217E-05
  8  -8           0.32378E-01    0.46515E-06         0.34737E-01    0.11217E-05
  8   1           0.91058E-03   -0.14488E-02         0.85092E-03   -0.13524E-02
  8  -1          -0.91058E-03   -0.14488E-02        -0.85092E-03   -0.13524E-02
  8   2           0.11398E-03    0.34037E-02         0.12363E-03    0.37171E-02
  8  -2           0.11398E-03   -0.34037E-02         0.12363E-03   -0.37171E-02
  8   3          -0.64760E-03   -0.84522E-03        -0.87251E-03   -0.11876E-02
  8  -3           0.64760E-03   -0.84522E-03         0.87251E-03   -0.11876E-02
  8   4           0.21004E-01    0.98217E-05         0.22560E-01    0.98356E-05
  8  -4           0.21004E-01   -0.98217E-05         0.22560E-01   -0.98356E-05
  8   5          -0.65002E-02    0.97676E-02        -0.69217E-02    0.10395E-01
  8  -5           0.65002E-02    0.97676E-02         0.69217E-02    0.10395E-01
  8   6           0.38383E-03   -0.17396E-02         0.38756E-03   -0.17878E-02
  8  -6           0.38383E-03    0.17396E-02         0.38756E-03    0.17878E-02
  8   7          -0.34634E-02   -0.50988E-02        -0.39055E-02   -0.57672E-02
  8  -7           0.34634E-02   -0.50988E-02         0.39055E-02   -0.57672E-02
  8   8           0.32378E-01   -0.46515E-06         0.34737E-01   -0.11217E-05
  8  -8           0.32378E-01    0.46515E-06         0.34737E-01    0.11217E-05

          multipole moments for atom type=    2

  l   m                   original                      plane wave
  0   0          -0.51458E+00    0.00000E+00         0.78687E+00   -0.13818E-14
  1   0          -0.14436E-02    0.00000E+00        -0.11795E-02    0.54708E-15
  1   1           0.45746E-02   -0.29007E-02         0.37179E-02   -0.23583E-02
  1  -1          -0.45746E-02   -0.29007E-02        -0.37179E-02   -0.23583E-02
  1   1           0.45746E-02   -0.29007E-02         0.37179E-02   -0.23583E-02
  1  -1          -0.45746E-02   -0.29007E-02        -0.37179E-02   -0.23583E-02
  2   0           0.53424E-03    0.00000E+00         0.51205E-03    0.12725E-16
  2   1           0.12655E-01   -0.19173E-01         0.12086E-01   -0.18285E-01
  2  -1          -0.12655E-01   -0.19173E-01        -0.12086E-01   -0.18285E-01
  2   2          -0.29698E-03    0.59873E-02        -0.28469E-03    0.57674E-02
  2  -2          -0.29698E-03   -0.59873E-02        -0.28469E-03   -0.57674E-02
  2   1           0.12655E-01   -0.19173E-01         0.12086E-01   -0.18285E-01
  2  -1          -0.12655E-01   -0.19173E-01        -0.12086E-01   -0.18285E-01
  2   2          -0.29698E-03    0.59873E-02        -0.28469E-03    0.57674E-02
  2  -2          -0.29698E-03   -0.59873E-02        -0.28469E-03   -0.57674E-02
  3   0           0.86113E-02    0.00000E+00         0.83643E-02   -0.19816E-15
  3   1           0.10961E-01   -0.73472E-02         0.10585E-01   -0.71003E-02
  3  -1          -0.10961E-01   -0.73472E-02        -0.10585E-01   -0.71003E-02
  3   2           0.62383E-05   -0.46391E+00         0.54679E-05   -0.45684E+00
  3  -2           0.62383E-05    0.46391E+00         0.54679E-05    0.45684E+00
  3   3          -0.14131E-01   -0.94504E-02        -0.13647E-01   -0.91359E-02
  3  -3           0.14131E-01   -0.94504E-02         0.13647E-01   -0.91359E-02
  3   1           0.10961E-01   -0.73472E-02         0.10585E-01   -0.71003E-02
  3  -1          -0.10961E-01   -0.73472E-02        -0.10585E-01   -0.71003E-02
  3   2           0.62383E-05   -0.46391E+00         0.54679E-05   -0.45684E+00
  3  -2           0.62383E-05    0.46391E+00         0.54679E-05    0.45684E+00
  3   3          -0.14131E-01   -0.94504E-02        -0.13647E-01   -0.91359E-02
  3  -3           0.14131E-01   -0.94504E-02         0.13647E-01   -0.91359E-02
  4   0          -0.27737E+00    0.00000E+00        -0.27338E+00    0.27940E-14
  4   1           0.18126E-03   -0.11239E-03         0.24264E-03   -0.21238E-03
  4  -1          -0.18126E-03   -0.11239E-03        -0.24264E-03   -0.21238E-03
  4   2          -0.32975E-03   -0.94629E-03        -0.32098E-03   -0.10003E-02
  4  -2          -0.32975E-03    0.94629E-03        -0.32098E-03    0.10003E-02
  4   3           0.39106E-03    0.24730E-03         0.55780E-03    0.51424E-03
  4  -3          -0.39106E-03    0.24730E-03        -0.55780E-03    0.51424E-03
  4   4          -0.16521E+00   -0.93857E-05        -0.16284E+00   -0.89032E-05
  4  -4          -0.16521E+00    0.93857E-05        -0.16284E+00    0.89032E-05
  4   1           0.18126E-03   -0.11239E-03         0.24264E-03   -0.21238E-03
  4  -1          -0.18126E-03   -0.11239E-03        -0.24264E-03   -0.21238E-03
  4   2          -0.32975E-03   -0.94629E-03        -0.32098E-03   -0.10003E-02
  4  -2          -0.32975E-03    0.94629E-03        -0.32098E-03    0.10003E-02
  4   3           0.39106E-03    0.24730E-03         0.55780E-03    0.51424E-03
  4  -3          -0.39106E-03    0.24730E-03        -0.55780E-03    0.51424E-03
  4   4          -0.16521E+00   -0.93857E-05        -0.16284E+00   -0.89032E-05
  4  -4          -0.16521E+00    0.93857E-05        -0.16284E+00    0.89032E-05
  5   0          -0.55406E-02    0.00000E+00        -0.54861E-02   -0.20396E-14
  5   1          -0.51691E-02    0.32213E-02        -0.50246E-02    0.31279E-02
  5  -1           0.51691E-02    0.32213E-02         0.50246E-02    0.31279E-02
  5   2          -0.82268E-05   -0.66743E-03        -0.81056E-05   -0.65495E-03
  5  -2          -0.82268E-05    0.66743E-03        -0.81056E-05    0.65495E-03
  5   3          -0.19291E-01   -0.12759E-01        -0.18989E-01   -0.12558E-01
  5  -3           0.19291E-01   -0.12759E-01         0.18989E-01   -0.12558E-01
  5   4           0.51268E-02    0.52509E-03         0.50240E-02    0.51525E-03
  5  -4           0.51268E-02   -0.52509E-03         0.50240E-02   -0.51525E-03
  5   5           0.36121E-02   -0.25580E-02         0.36167E-02   -0.25586E-02
  5  -5          -0.36121E-02   -0.25580E-02        -0.36167E-02   -0.25586E-02
  5   1          -0.51691E-02    0.32213E-02        -0.50246E-02    0.31279E-02
  5  -1           0.51691E-02    0.32213E-02         0.50246E-02    0.31279E-02
  5   2          -0.82268E-05   -0.66743E-03        -0.81056E-05   -0.65495E-03
  5  -2          -0.82268E-05    0.66743E-03        -0.81056E-05    0.65495E-03
  5   3          -0.19291E-01   -0.12759E-01        -0.18989E-01   -0.12558E-01
  5  -3           0.19291E-01   -0.12759E-01         0.18989E-01   -0.12558E-01
  5   4           0.51268E-02    0.52509E-03         0.50240E-02    0.51525E-03
  5  -4           0.51268E-02   -0.52509E-03         0.50240E-02   -0.51525E-03
  5   5           0.36121E-02   -0.25580E-02         0.36167E-02   -0.25586E-02
  5  -5          -0.36121E-02   -0.25580E-02        -0.36167E-02   -0.25586E-02
  6   0           0.11268E+00    0.00000E+00         0.11177E+00    0.20319E-14
  6   1          -0.70331E-02    0.10677E-01        -0.69839E-02    0.10604E-01
  6  -1           0.70331E-02    0.10677E-01         0.69839E-02    0.10604E-01
  6   2           0.13168E-03   -0.65787E-02         0.13073E-03   -0.65240E-02
  6  -2           0.13168E-03    0.65787E-02         0.13073E-03    0.65240E-02
  6   3          -0.46525E-02   -0.67644E-02        -0.46161E-02   -0.67120E-02
  6  -3           0.46525E-02   -0.67644E-02         0.46161E-02   -0.67120E-02
  6   4          -0.21166E+00   -0.66787E-05        -0.20995E+00   -0.67627E-05
  6  -4          -0.21166E+00    0.66787E-05        -0.20995E+00    0.67627E-05
  6   5          -0.10590E-01    0.15764E-01        -0.10510E-01    0.15648E-01
  6  -5           0.10590E-01    0.15764E-01         0.10510E-01    0.15648E-01
  6   6           0.19486E-03   -0.22847E-02         0.19343E-03   -0.22669E-02
  6  -6           0.19486E-03    0.22847E-02         0.19343E-03    0.22669E-02
  6   1          -0.70331E-02    0.10677E-01        -0.69839E-02    0.10604E-01
  6  -1           0.70331E-02    0.10677E-01         0.69839E-02    0.10604E-01
  6   2           0.13168E-03   -0.65787E-02         0.13073E-03   -0.65240E-02
  6  -2           0.13168E-03    0.65787E-02         0.13073E-03    0.65240E-02
  6   3          -0.46525E-02   -0.67644E-02        -0.46161E-02   -0.67120E-02
  6  -3           0.46525E-02   -0.67644E-02         0.46161E-02   -0.67120E-02
  6   4          -0.21166E+00   -0.66787E-05        -0.20995E+00   -0.67627E-05
  6  -4          -0.21166E+00    0.66787E-05        -0.20995E+00    0.67627E-05
  6   5          -0.10590E-01    0.15764E-01        -0.10510E-01    0.15648E-01
  6  -5           0.10590E-01    0.15764E-01         0.10510E-01    0.15648E-01
  6   6           0.19486E-03   -0.22847E-02         0.19343E-03   -0.22669E-02
  6  -6           0.19486E-03    0.22847E-02         0.19343E-03    0.22669E-02
  7   0          -0.27085E-02    0.00000E+00        -0.26930E-02   -0.17720E-15
  7   1          -0.54379E-02    0.37459E-02        -0.54272E-02    0.37387E-02
  7  -1           0.54379E-02    0.37459E-02         0.54272E-02    0.37387E-02
  7   2          -0.29932E-05    0.14081E+00        -0.29807E-05    0.14093E+00
  7  -2          -0.29932E-05   -0.14081E+00        -0.29807E-05   -0.14093E+00
  7   3           0.15345E-02    0.10337E-02         0.15189E-02    0.10234E-02
  7  -3          -0.15345E-02    0.10337E-02        -0.15189E-02    0.10234E-02
  7   4          -0.25473E-02    0.38836E-03        -0.25493E-02    0.38919E-03
  7  -4          -0.25473E-02   -0.38836E-03        -0.25493E-02   -0.38919E-03
  7   5           0.24153E-02   -0.16830E-02         0.24376E-02   -0.16979E-02
  7  -5          -0.24153E-02   -0.16830E-02        -0.24376E-02   -0.16979E-02
  7   6          -0.61774E-05    0.12886E+00        -0.61058E-05    0.12897E+00
  7  -6          -0.61774E-05   -0.12886E+00        -0.61058E-05   -0.12897E+00
  7   7           0.51274E-02    0.35089E-02         0.51070E-02    0.34954E-02
  7  -7          -0.51274E-02    0.35089E-02        -0.51070E-02    0.34954E-02
  7   1          -0.54379E-02    0.37459E-02        -0.54272E-02    0.37387E-02
  7  -1           0.54379E-02    0.37459E-02         0.54272E-02    0.37387E-02
  7   2          -0.29932E-05    0.14081E+00        -0.29807E-05    0.14093E+00
  7  -2          -0.29932E-05   -0.14081E+00        -0.29807E-05   -0.14093E+00
  7   3           0.15345E-02    0.10337E-02         0.15189E-02    0.10234E-02
  7  -3          -0.15345E-02    0.10337E-02        -0.15189E-02    0.10234E-02
  7   4          -0.25473E-02    0.38836E-03        -0.25493E-02    0.38919E-03
  7  -4          -0.25473E-02   -0.38836E-03        -0.25493E-02   -0.38919E-03
  7   5           0.24153E-02   -0.16830E-02         0.24376E-02   -0.16979E-02
  7  -5          -0.24153E-02   -0.16830E-02        -0.24376E-02   -0.16979E-02
  7   6          -0.61774E-05    0.12886E+00        -0.61058E-05    0.12897E+00
  7  -6          -0.61774E-05   -0.12886E+00        -0.61058E-05   -0.12897E+00
  7   7           0.51274E-02    0.35089E-02         0.51070E-02    0.34954E-02
  7  -7          -0.51274E-02    0.35089E-02        -0.51070E-02    0.34954E-02
  8   0           0.57252E-01    0.00000E+00         0.61398E-01   -0.96113E-14
  8   1           0.91046E-03   -0.14494E-02         0.85080E-03   -0.13531E-02
  8  -1          -0.91046E-03   -0.14494E-02        -0.85080E-03   -0.13531E-02
  8   2           0.11387E-03    0.34039E-02         0.12354E-03    0.37174E-02
  8  -2           0.11387E-03   -0.34039E-02         0.12354E-03   -0.37174E-02
  8   3          -0.64778E-03   -0.84546E-03        -0.87270E-03   -0.11879E-02
  8  -3           0.64778E-03   -0.84546E-03         0.87270E-03   -0.11879E-02
  8   4           0.21004E-01    0.99525E-05         0.22560E-01    0.99960E-05
  8  -4           0.21004E-01   -0.99525E-05         0.22560E-01   -0.99960E-05
  8   5          -0.65002E-02    0.97660E-02        -0.69217E-02    0.10393E-01
  8  -5           0.65002E-02    0.97660E-02         0.69217E-02    0.10393E-01
  8   6           0.38397E-03   -0.17397E-02         0.38769E-03   -0.17879E-02
  8  -6           0.38397E-03    0.17397E-02         0.38769E-03    0.17879E-02
  8   7          -0.34634E-02   -0.50973E-02        -0.39056E-02   -0.57656E-02
  8  -7           0.34634E-02   -0.50973E-02         0.39056E-02   -0.57656E-02
  8   8           0.32378E-01   -0.51916E-06         0.34737E-01   -0.11852E-05
  8  -8           0.32378E-01    0.51916E-06         0.34737E-01    0.11852E-05
  8   1           0.91046E-03   -0.14494E-02         0.85080E-03   -0.13531E-02
  8  -1          -0.91046E-03   -0.14494E-02        -0.85080E-03   -0.13531E-02
  8   2           0.11387E-03    0.34039E-02         0.12354E-03    0.37174E-02
  8  -2           0.11387E-03   -0.34039E-02         0.12354E-03   -0.37174E-02
  8   3          -0.64778E-03   -0.84546E-03        -0.87270E-03   -0.11879E-02
  8  -3           0.64778E-03   -0.84546E-03         0.87270E-03   -0.11879E-02
  8   4           0.21004E-01    0.99525E-05         0.22560E-01    0.99960E-05
  8  -4           0.21004E-01   -0.99525E-05         0.22560E-01   -0.99960E-05
  8   5          -0.65002E-02    0.97660E-02        -0.69217E-02    0.10393E-01
  8  -5           0.65002E-02    0.97660E-02         0.69217E-02    0.10393E-01
  8   6           0.38397E-03   -0.17397E-02         0.38769E-03   -0.17879E-02
  8  -6           0.38397E-03    0.17397E-02         0.38769E-03    0.17879E-02
  8   7          -0.34634E-02   -0.50973E-02        -0.39056E-02   -0.57656E-02
  8  -7           0.34634E-02   -0.50973E-02         0.39056E-02   -0.57656E-02
  8   8           0.32378E-01   -0.51916E-06         0.34737E-01   -0.11852E-05
  8  -8           0.32378E-01    0.51916E-06         0.34737E-01    0.11852E-05

          integral of pseudo charge density inside the slab=        0.000000   0.000000

     coulomb potential in the interstitial region:

          density-coulomb potential integrals


          interstitial :                       0.7641102917

          muffin tin spheres :              -845.0925843003

          total density-coulomb potenti     -844.3284740086
 wrtdop title:alpha Si                                                                ordered*

     interstitial potential average (vbar) = -0.028219

 999idsprs in starting of nmtxad= 0

          density-effective potential integrals for spin  1


          interstitial :                      -0.4680487305

          muffin tin spheres :              -897.7869917759

          total density-effective poten     -898.2550405065

          charge density-energy density integrals


          interstitial :                      -0.9625877239

          muffin tin spheres :               -40.7943058905

          total charge density-energy d      -41.7568936144
 vgen: pottot deleted
 wrtdop title:alpha Si                                                                ordered*
 IT=   3  ISEC1=  99 standard diagonalization
  Atom  1 3s branch from -4.71 to  1.08 htr. ; e_l = -0.1320
  Atom  1 3p branch from -3.10 to  1.55 htr. ; e_l =  0.0518
  Atom  1 3d branch from -9.99 to  1.96 htr. ; e_l =  0.2454
  Atom  1 4f branch from -9.99 to  4.11 htr. ; e_l =  0.4132
  Atom  2 3s branch from -4.71 to  1.08 htr. ; e_l = -0.1320
  Atom  2 3p branch from -3.10 to  1.55 htr. ; e_l =  0.0518
  Atom  2 3d branch from -9.99 to  1.96 htr. ; e_l =  0.2454
  Atom  2 4f branch from -9.99 to  4.11 htr. ; e_l =  0.4132


 wavefunction parameters for atom type  1:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.13196        4.7855681E-01  -2.4405109E-01    2       -3.1183692E-01  -7.4508906E-01    2   1.0729837E-01   4.3267158E-01
  1   0.05177       -5.5401255E-01   9.8623897E-02    1        2.6554704E-01   7.3373309E-01    2   7.9235583E-02   4.3268662E-01
  2   0.24543        6.4485627E-01   1.6422436E-01    0       -2.3245916E-01  -7.3017754E-01    1   6.4884824E-02   4.3268411E-01
  3   0.41317        8.3811282E-01   7.5576956E-01    0       -1.2152794E-01  -6.2584155E-01    1   1.3105584E-02   4.3267872E-01
  4   0.41317        9.7741147E-01   1.4628662E+00    0       -8.2116914E-02  -5.6556964E-01    1   4.9140564E-03   4.3266819E-01
  5   0.41317        1.0890153E+00   2.2155081E+00    0       -6.1654740E-02  -5.2272183E-01    1   2.3788648E-03   4.3265548E-01
  6   0.41317        1.1859904E+00   3.0207139E+00    0       -4.8922268E-02  -4.8939736E-01    1   1.3187460E-03   4.3264038E-01
  7   0.41317        1.2734428E+00   3.8787344E+00    0       -4.0218326E-02  -4.6222651E-01    1   7.9799304E-04   4.3262282E-01
  8   0.41317        1.3539939E+00   4.7881584E+00    0       -3.3903876E-02  -4.3939630E-01    1   5.1409168E-04   4.3260278E-01


 wavefunction parameters for atom type  2:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.13196        4.7855680E-01  -2.4405109E-01    2       -3.1183692E-01  -7.4508906E-01    2   1.0729837E-01   4.3267158E-01
  1   0.05177       -5.5401254E-01   9.8623907E-02    1        2.6554704E-01   7.3373309E-01    2   7.9235585E-02   4.3268662E-01
  2   0.24543        6.4485627E-01   1.6422435E-01    0       -2.3245916E-01  -7.3017754E-01    1   6.4884826E-02   4.3268411E-01
  3   0.41317        8.3811282E-01   7.5576955E-01    0       -1.2152794E-01  -6.2584155E-01    1   1.3105584E-02   4.3267872E-01
  4   0.41317        9.7741147E-01   1.4628662E+00    0       -8.2116914E-02  -5.6556964E-01    1   4.9140564E-03   4.3266819E-01
  5   0.41317        1.0890153E+00   2.2155081E+00    0       -6.1654740E-02  -5.2272183E-01    1   2.3788648E-03   4.3265548E-01
  6   0.41317        1.1859904E+00   3.0207139E+00    0       -4.8922268E-02  -4.8939736E-01    1   1.3187461E-03   4.3264038E-01
  7   0.41317        1.2734428E+00   3.8787344E+00    0       -4.0218326E-02  -4.6222651E-01    1   7.9799304E-04   4.3262282E-01
  8   0.41317        1.3539939E+00   4.7881584E+00    0       -3.3903876E-02  -4.3939630E-01    1   5.1409169E-04   4.3260278E-01


 k=(    0.444444    0.444444    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.151102   -0.029665    0.161680    0.166190    0.260318
         0.325855    0.331117    0.487331


 k=(    0.333333    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153680   -0.014866    0.136484    0.149371    0.284298
         0.328474    0.356841    0.457982


 k=(    0.222222    0.444444    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147506    0.000577    0.097302    0.128945    0.264579
         0.364153    0.397596    0.412329


 k=(    0.111111    0.444444    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.131780   -0.011244    0.095893    0.112476    0.240872
         0.285390    0.481218    0.483071


 k=(    0.000000    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.106898   -0.044189    0.104267    0.109466    0.228710
         0.245049    0.546486    0.547335


 k=(   -0.111111    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.083312   -0.067717    0.087312    0.105584    0.234212
         0.271426    0.544607    0.553614


 k=(    0.222222    0.555556    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.105512   -0.040644    0.062887    0.116228    0.247116
         0.344097    0.470201    0.473609


 k=(    0.333333    0.555556    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.125982   -0.030926    0.078321    0.134339    0.269726
         0.388517    0.399245    0.436244


 k=(    0.555556    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.141345   -0.034132    0.127189    0.154154    0.284456
         0.329113    0.347844    0.501578


 k=(    0.444444    0.333333    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153721   -0.014677    0.134587    0.151135    0.284789
         0.329430    0.355145    0.456910


 k=(    0.333333    0.333333    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163068    0.001728    0.123311    0.169281    0.291931
         0.338266    0.340568    0.477695


 k=(    0.222222    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162584    0.019798    0.098154    0.148953    0.305370
         0.337762    0.385501    0.404851


 k=(    0.111111    0.333333    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.151727    0.015026    0.096632    0.120882    0.274419
         0.311623    0.404492    0.468458


 k=(    0.000000    0.333333    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.130808   -0.013982    0.092347    0.117887    0.246056
         0.280078    0.481925    0.485552


 k=(   -0.111111    0.333333    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.101979   -0.046183    0.085408    0.095925    0.266624
         0.280841    0.472339    0.537901


 k=(   -0.222222    0.333333    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.087689   -0.057091    0.062661    0.094365    0.278058
         0.344820    0.450694    0.459618


 k=(    0.666667    0.333333    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.112086   -0.033755    0.058710    0.111461    0.296075
         0.370972    0.433176    0.449251


 k=(    0.555556    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135931   -0.023858    0.092463    0.134826    0.310410
         0.320276    0.404505    0.448011


 k=(    0.444444    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147565    0.001066    0.095510    0.130211    0.265856
         0.362834    0.397625    0.411069


 k=(    0.333333    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162592    0.020011    0.097357    0.149628    0.305738
         0.338550    0.384870    0.402931


 k=(    0.222222    0.222222    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.167407    0.029114    0.086760    0.168623    0.305086
         0.366321    0.376455    0.420487


 k=(    0.111111    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.161584    0.014010    0.102629    0.148762    0.312220
         0.337467    0.379231    0.409008


 k=(    0.000000    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.145429   -0.006918    0.096690    0.134953    0.271539
         0.357199    0.399483    0.413847


 k=(   -0.111111    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.120291   -0.028483    0.070756    0.114943    0.292046
         0.347798    0.391889    0.481015


 k=(   -0.222222    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.091165   -0.052678    0.060681    0.087059    0.344932
         0.356313    0.376263    0.437766


 k=(    0.666667    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.095256   -0.046480    0.062877    0.082489    0.347203
         0.351192    0.374998    0.442036


 k=(    0.555556    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123752   -0.019914    0.072208    0.107721    0.287427
         0.352725    0.386969    0.482564


 k=(    0.444444    0.111111    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.131811   -0.011050    0.094618    0.113506    0.241980
         0.284384    0.480292    0.482776


 k=(    0.333333    0.111111    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.151704    0.014845    0.096863    0.120866    0.274591
         0.311352    0.404537    0.468276


 k=(    0.222222    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.161556    0.013701    0.103527    0.148151    0.311788
         0.336762    0.379833    0.410731


 k=(    0.111111    0.111111    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.160966   -0.006685    0.130683    0.166929    0.294407
         0.339867    0.350205    0.474064


 k=(    0.000000    0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.150382   -0.024573    0.135492    0.156602    0.289389
         0.334460    0.357156    0.451280


 k=(   -0.111111    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.131171   -0.035385    0.091598    0.143285    0.312114
         0.329695    0.402107    0.442130


 k=(   -0.222222    0.111111    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.105901   -0.045386    0.057863    0.118248    0.301788
         0.374806    0.425991    0.446070


 k=(    0.666667    0.111111    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.081356   -0.064582    0.058828    0.099345    0.283946
         0.339031    0.448887    0.460564


 k=(    0.555556    0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103757   -0.042993    0.086288    0.093209    0.268549
         0.279453    0.466923    0.537406


 k=(    0.444444    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.106755   -0.044482    0.105204    0.108762    0.229140
         0.244524    0.546624    0.547163


 k=(    0.333333    0.000000    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.130673   -0.014576    0.093788    0.117120    0.245034
         0.280827    0.481853    0.486851


 k=(    0.222222    0.000000    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.145323   -0.007542    0.098330    0.134029    0.270177
         0.358293    0.399244    0.415534


 k=(    0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.150322   -0.024794    0.136759    0.155552    0.288897
         0.332931    0.359351    0.452379


 k=(    0.000000    0.000000    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.146510   -0.040793    0.162380    0.171352    0.263886
         0.327621    0.338338    0.491489


 k=(   -0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135791   -0.046377    0.127682    0.160463    0.288705
         0.333612    0.349977    0.506099


 k=(    0.222222    0.000000    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.120298   -0.043123    0.079585    0.139711    0.275698
         0.390634    0.401041    0.429956


 k=(    0.333333    0.000000    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.100468   -0.048983    0.061303    0.121060    0.252981
         0.338452    0.470296    0.476070


 k=(    0.555556    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.076232   -0.075136    0.082928    0.110144    0.240145
         0.265716    0.540454    0.553488


 k=(    0.444444   -0.111111    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.081839   -0.069375    0.086554    0.106535    0.235415
         0.270213    0.543695    0.553739


 k=(    0.333333   -0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.101433   -0.047169    0.085898    0.096009    0.266814
         0.280474    0.473453    0.538027


 k=(    0.222222   -0.111111    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.119987   -0.029364    0.071529    0.114939    0.290592
         0.349100    0.392934    0.481178


 k=(    0.111111   -0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.131007   -0.035760    0.091556    0.143670    0.311342
         0.330389    0.401912    0.443265


 k=(    0.000000   -0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135732   -0.046442    0.126513    0.161808    0.289176
         0.335137    0.347521    0.505990


 k=(    0.111111    0.111111    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135968   -0.046184    0.132419    0.155070    0.287455
         0.331585    0.354688    0.506613


 k=(    0.222222    0.111111    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.131686   -0.034807    0.097123    0.136752    0.315432
         0.322184    0.409080    0.442645


 k=(    0.333333    0.111111    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.121089   -0.027078    0.074231    0.110329    0.291751
         0.348980    0.388011    0.485685


 k=(    0.444444    0.111111    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.102983   -0.044430    0.086449    0.093904    0.267959
         0.279791    0.469237    0.537807


 k=(    0.555556    0.222222    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.105250   -0.040909    0.061776    0.117298    0.248384
         0.342863    0.468614    0.473792


 k=(    0.333333   -0.222222    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.086504   -0.058592    0.061956    0.095397    0.279260
         0.343584    0.449918    0.460277


 k=(    0.222222   -0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.090110   -0.054202    0.060496    0.087769    0.345527
         0.356082    0.376694    0.436925


 k=(    0.111111   -0.222222    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.105532   -0.045915    0.057372    0.118891    0.303249
         0.373077    0.425558    0.446170


 k=(    0.000000    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.120211   -0.043088    0.078387    0.140759    0.277146
         0.390074    0.399078    0.429738


 k=(    0.111111    0.222222    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.131682   -0.034674    0.095745    0.138097    0.315261
         0.323525    0.407391    0.441674


 k=(    0.222222    0.222222    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.137023   -0.019528    0.075735    0.149536    0.285969
         0.389924    0.392530    0.465679


 k=(    0.333333    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134316   -0.010276    0.064336    0.129461    0.316836
         0.354740    0.385555    0.459632


 k=(    0.444444    0.222222    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123226   -0.021178    0.070918    0.110129    0.286890
         0.352698    0.389595    0.479832


 k=(    0.555556    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.125865   -0.030956    0.076948    0.135682    0.271040
         0.387592    0.397754    0.435967


 k=(    0.333333    0.666667    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.111776   -0.034270    0.058105    0.112290    0.297444
         0.369351    0.432395    0.449712


 k=(    0.222222    0.666667    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.094546   -0.047599    0.062353    0.083465    0.346176
         0.352826    0.375247    0.441144


 k=(    0.111111    0.666667    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.079810   -0.066261    0.058094    0.100171    0.285231
         0.337828    0.448951    0.460313


 k=(    0.000000    0.333333    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.100392   -0.048854    0.060130    0.121884    0.254360
         0.337283    0.469186    0.475663


 k=(    0.111111    0.333333    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.121115   -0.026763    0.072725    0.111522    0.292979
         0.347679    0.388195    0.484268


 k=(    0.222222    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134335   -0.010187    0.064269    0.129432    0.316952
         0.354372    0.385860    0.459879


 k=(    0.333333    0.333333    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138997   -0.012397    0.070127    0.150393    0.286185
         0.384191    0.385749    0.471716


 k=(    0.444444    0.333333    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135618   -0.024339    0.089574    0.138449    0.308385
         0.324445    0.400701    0.448197


 k=(    0.444444    0.555556    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.141292   -0.034191    0.125592    0.155982    0.284910
         0.329919    0.346080    0.501532


 k=(    0.333333    0.555556    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135806   -0.024179    0.092306    0.135300    0.309218
         0.321404    0.404373    0.449079


 k=(    0.222222    0.555556    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123556   -0.020580    0.072899    0.107640    0.286012
         0.354207    0.387889    0.482671


 k=(    0.111111    0.555556    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103511   -0.043422    0.085715    0.094015    0.267701
         0.280247    0.468026    0.537437


 k=(    0.000000    0.555556    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.077211   -0.074058    0.081989    0.110864    0.241451
         0.264560    0.539477    0.553327


 k=(    0.111111    0.444444    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103126   -0.044138    0.085858    0.094296    0.267430
         0.280398    0.469182    0.537617


 k=(    0.222222    0.444444    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123294   -0.021208    0.072231    0.108858    0.285763
         0.354180    0.389206    0.481268


 k=(    0.333333    0.444444    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135651   -0.024420    0.090858    0.137105    0.308307
         0.323408    0.402439    0.449182


 k=(    0.444444    0.444444    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.141240   -0.034250    0.124222    0.157561    0.285384
         0.331258    0.343775    0.501518


 k=(    0.444444    0.444444    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153764   -0.014477    0.133051    0.152507    0.285290
         0.330732    0.353093    0.455876


 k=(    0.333333    0.444444    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163169    0.002033    0.124448    0.167510    0.291566
         0.337015    0.342837    0.477075


 k=(    0.222222    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162740    0.020466    0.099056    0.147137    0.306164
         0.335955    0.385594    0.406418


 k=(    0.111111    0.444444    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.151946    0.016264    0.096288    0.119927    0.274795
         0.311618    0.403163    0.468688


 k=(    0.000000    0.444444    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.131105   -0.012939    0.091360    0.117947    0.246275
         0.280087    0.480996    0.484349


 k=(   -0.111111    0.444444    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.102369   -0.045487    0.085289    0.095652    0.266890
         0.280674    0.471246    0.537884


 k=(   -0.222222    0.444444    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.087641   -0.057161    0.062691    0.094365    0.278052
         0.344798    0.451074    0.459323


 k=(    0.666667    0.444444    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.111967   -0.033903    0.058185    0.112106    0.295978
         0.371867    0.433639    0.448291


 k=(    0.555556    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135903   -0.023762    0.091092    0.136224    0.310354
         0.321479    0.402668    0.447124


 k=(    0.444444    0.333333    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163268    0.002324    0.125779    0.165537    0.291236
         0.336764    0.344089    0.476809


 k=(    0.333333    0.333333    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.177938    0.019328    0.167812    0.172341    0.267494
         0.330892    0.336042    0.491258


 k=(    0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182141    0.041429    0.151238    0.153055    0.288970
         0.332322    0.366491    0.406076


 k=(    0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.175358    0.051954    0.124767    0.132431    0.259700
         0.325751    0.406583    0.418962


 k=(    0.000000    0.333333    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.157783    0.024849    0.118016    0.123711    0.234304
         0.281225    0.471584    0.471809


 k=(   -0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.130907   -0.014252    0.098789    0.112302    0.240279
         0.285202    0.482958    0.487663


 k=(   -0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103258   -0.045130    0.065484    0.116042    0.246882
         0.344082    0.474410    0.475555


 k=(    0.666667    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.111513   -0.033926    0.049965    0.128642    0.261321
         0.423489    0.446874    0.460664


 k=(    0.555556    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139627   -0.010852    0.071598    0.147566    0.283469
         0.385921    0.388388    0.471166


 k=(    0.444444    0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162903    0.021329    0.099266    0.145884    0.307472
         0.334806    0.384999    0.406126


 k=(    0.333333    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182184    0.041803    0.149291    0.154523    0.289376
         0.333502    0.364963    0.404819


 k=(    0.222222    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.190926    0.063301    0.132080    0.184949    0.303484
         0.333329    0.344974    0.430420


 k=(    0.111111    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.188470    0.070803    0.122469    0.164389    0.294659
         0.345466    0.368080    0.390742


 k=(    0.000000    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.174866    0.047423    0.123069    0.138623    0.262705
         0.321967    0.408611    0.421041


 k=(   -0.111111    0.222222    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.151072    0.011651    0.096638    0.124471    0.273285
         0.311517    0.408320    0.468374


 k=(   -0.222222    0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.121296   -0.026822    0.075328    0.109737    0.285220
         0.354833    0.391525    0.484690


 k=(    0.666667    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109817   -0.038815    0.061053    0.111997    0.295730
         0.376293    0.429232    0.448244


 k=(    0.555556    0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135308   -0.006999    0.064223    0.126906    0.314148
         0.355706    0.385809    0.460572


 k=(    0.444444    0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152141    0.017320    0.096326    0.118794    0.275368
         0.311344    0.401867    0.468801


 k=(    0.333333    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.175401    0.052530    0.122820    0.133691    0.260487
         0.325196    0.406244    0.418043


 k=(    0.222222    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.188465    0.070668    0.122591    0.164462    0.294703
         0.345533    0.367875    0.390549


 k=(    0.111111    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.190379    0.056973    0.138526    0.183383    0.306570
         0.340137    0.344857    0.426288


 k=(    0.000000    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.181051    0.033864    0.150771    0.160054    0.294117
         0.337130    0.367487    0.399217


 k=(   -0.111111    0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.161105    0.012247    0.099618    0.154313    0.309343
         0.343013    0.379235    0.404630


 k=(   -0.222222    0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.132833   -0.014672    0.063939    0.133344    0.320477
         0.353304    0.385441    0.459352


 k=(   -0.333333    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108141   -0.041353    0.057968    0.116023    0.302414
         0.368399    0.426915    0.448711


 k=(    0.555556    0.111111    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122485   -0.023155    0.071788    0.110013    0.292160
         0.348355    0.386463    0.483589


 k=(    0.444444    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.131268   -0.012505    0.091827    0.117239    0.245463
         0.280864    0.479955    0.484494


 k=(    0.333333    0.000000    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.157759    0.024625    0.119048    0.122965    0.234445
         0.280978    0.471441    0.471792


 k=(    0.222222    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.174799    0.046560    0.124943    0.137843    0.262073
         0.322143    0.408630    0.422216


 k=(    0.111111    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.180997    0.033440    0.151613    0.159825    0.293743
         0.335488    0.369321    0.400455


 k=(    0.000000    0.000000    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.176124    0.010579    0.168953    0.177952    0.271368
         0.332672    0.343059    0.492398


 k=(   -0.111111    0.000000    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.160643   -0.007561    0.126791    0.172729    0.295265
         0.339145    0.348045    0.474176


 k=(   -0.222222    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.136013   -0.021692    0.073274    0.153876    0.289626
         0.385739    0.390597    0.466286


 k=(   -0.333333    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.107059   -0.041862    0.048058    0.134236    0.267548
         0.416664    0.440577    0.465271


 k=(    0.555556    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.102248   -0.045700    0.059567    0.121190    0.253137
         0.338386    0.467330    0.475120


 k=(    0.444444   -0.111111    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.102220   -0.045783    0.085769    0.095370    0.267380
         0.280106    0.471306    0.538078


 k=(    0.333333   -0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.130640   -0.015081    0.098483    0.113274    0.241176
         0.284166    0.483135    0.488389


 k=(    0.222222   -0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.150827    0.010353    0.097104    0.125387    0.273097
         0.311248    0.409618    0.468285


 k=(    0.111111   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.160914    0.011316    0.099683    0.155374    0.308240
         0.343871    0.379800    0.404975


 k=(    0.000000   -0.111111    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.160531   -0.007880    0.125846    0.174297    0.295638
         0.339306    0.346871    0.475210


 k=(   -0.111111   -0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.150160   -0.025389    0.142476    0.150304    0.287514
         0.330115    0.364059    0.455882


 k=(   -0.222222   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.131226   -0.035828    0.096572    0.138252    0.311724
         0.325591    0.408273    0.446490


 k=(   -0.333333   -0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.106345   -0.045005    0.059937    0.115919    0.302168
         0.371646    0.423898    0.449207


 k=(    0.555556   -0.111111    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.081104   -0.064892    0.058897    0.099352    0.283929
         0.338982    0.449648    0.460025


 k=(    0.444444   -0.222222    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.086363   -0.058792    0.062032    0.095397    0.279244
         0.343527    0.450830    0.459590


 k=(    0.333333   -0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.102129   -0.047006    0.065235    0.117048    0.248072
         0.342872    0.474213    0.476331


 k=(    0.222222   -0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.120522   -0.028683    0.075121    0.111180    0.286191
         0.353664    0.392611    0.484383


 k=(    0.111111   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.132297   -0.016273    0.064071    0.134451    0.322010
         0.352766    0.385175    0.458952


 k=(    0.000000   -0.222222    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.135667   -0.022463    0.072668    0.155075    0.291094
         0.384440    0.389662    0.466939


 k=(   -0.111111   -0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.131057   -0.036069    0.095180    0.139954    0.311012
         0.327396    0.406402    0.446640


 k=(   -0.222222   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.120613   -0.043121    0.083699    0.135782    0.271950
         0.392749    0.405356    0.431436


 k=(    0.333333    0.222222    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.107421   -0.043471    0.061903    0.113437    0.298318
         0.376177    0.424778    0.449646


 k=(    0.444444    0.222222    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.093559   -0.049192    0.062301    0.084206    0.348006
         0.351127    0.375859    0.440492


 k=(    0.444444    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.111522   -0.034597    0.057103    0.113557    0.297216
         0.371124    0.433254    0.448079


 k=(    0.333333    0.666667    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.110648   -0.035573    0.049637    0.129802    0.262583
         0.421830    0.445497    0.461475


 k=(    0.222222    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108563   -0.041177    0.060866    0.113385    0.296921
         0.377100    0.427530    0.447768


 k=(    0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.106824   -0.043738    0.057906    0.117218    0.303704
         0.369091    0.425505    0.447946


 k=(    0.000000   -0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.106101   -0.043462    0.047757    0.135145    0.268945
         0.415298    0.439198    0.467189


 k=(   -0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.105893   -0.045581    0.058873    0.117161    0.303590
         0.370733    0.423997    0.448173


 k=(    0.222222    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.107336   -0.043519    0.061318    0.114050    0.298267
         0.377009    0.425270    0.448523


 k=(    0.333333    0.333333    0.666667):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.109763   -0.037229    0.049376    0.130843    0.263942
         0.420073    0.444026    0.462821


 k=(    0.444444    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.111209   -0.035117    0.056586    0.114285    0.298669
         0.369404    0.432336    0.448756


 k=(    0.444444    0.555556    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135746   -0.024002    0.089656    0.138037    0.309288
         0.323598    0.400800    0.447206


 k=(    0.333333    0.555556    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139313   -0.011613    0.070805    0.149046    0.284766
         0.384824    0.387347    0.471224


 k=(    0.222222    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134833   -0.008549    0.064167    0.128216    0.315492
         0.354983    0.385949    0.460334


 k=(    0.111111    0.555556    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.121820   -0.024799    0.071498    0.111381    0.293177
         0.347345    0.387439    0.483221


 k=(    0.000000    0.555556    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.101307   -0.047185    0.059261    0.121950    0.254438
         0.337242    0.467673    0.475240


 k=(   -0.111111    0.555556    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.079692   -0.066401    0.058119    0.100174    0.285224
         0.337810    0.449229    0.460118


 k=(    0.222222    0.444444    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.093698   -0.048942    0.062103    0.084269    0.346685
         0.352693    0.375680    0.440346


 k=(    0.333333    0.444444    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.111344   -0.034938    0.057066    0.113659    0.298802
         0.368524    0.431944    0.449427


 k=(    0.555556    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.125755   -0.030969    0.075669    0.136884    0.272451
         0.386813    0.395966    0.435807


 k=(    0.444444    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147632    0.001608    0.093808    0.131309    0.267207
         0.361390    0.398079    0.409477


 k=(    0.333333    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162760    0.020930    0.097380    0.148508    0.306934
         0.337476    0.384277    0.402698


 k=(    0.222222    0.444444    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.167676    0.030835    0.086453    0.167102    0.303688
         0.367909    0.375785    0.421027


 k=(    0.111111    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.161967    0.016095    0.101617    0.147839    0.312032
         0.336632    0.379773    0.407658


 k=(    0.000000    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.145957   -0.004755    0.094713    0.135159    0.271654
         0.357137    0.399154    0.411946


 k=(   -0.111111    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.121003   -0.026556    0.069596    0.114797    0.292204
         0.347468    0.391177    0.479911


 k=(   -0.222222    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.092037   -0.051405    0.060959    0.086344    0.344599
         0.356090    0.375968    0.438705


 k=(    0.666667    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.095180   -0.046624    0.063009    0.082439    0.348693
         0.349569    0.375088    0.442129


 k=(    0.555556    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123703   -0.019818    0.070822    0.108992    0.288647
         0.351151    0.387367    0.481149


 k=(    0.444444    0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162915    0.021580    0.098381    0.146588    0.307875
         0.335538    0.384322    0.404318


 k=(    0.333333    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182230    0.042209    0.147921    0.155363    0.289774
         0.334955    0.363167    0.403600


 k=(    0.222222    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.191007    0.064001    0.132790    0.182987    0.303190
         0.335111    0.343987    0.430039


 k=(    0.111111    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.188589    0.072521    0.121996    0.162773    0.295082
         0.344980    0.367415    0.391025


 k=(    0.000000    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.175032    0.049217    0.120985    0.138742    0.262920
         0.322272    0.407869    0.419501


 k=(   -0.111111    0.333333    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.151293    0.012822    0.096261    0.123631    0.273631
         0.311515    0.407046    0.468367


 k=(   -0.222222    0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.121564   -0.026237    0.076057    0.108524    0.285441
         0.354831    0.390281    0.486047


 k=(    0.666667    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109908   -0.038746    0.061645    0.111357    0.295783
         0.375414    0.428718    0.449482


 k=(    0.555556    0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135297   -0.007054    0.064267    0.126923    0.314090
         0.355921    0.385614    0.460437


 k=(    0.444444    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.167941    0.032534    0.086271    0.165434    0.302465
         0.369334    0.375234    0.421531


 k=(    0.333333    0.222222    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.191087    0.064654    0.133733    0.180823    0.302980
         0.337424    0.342419    0.429771


 k=(    0.222222    0.222222    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.203946    0.088484    0.179418    0.184096    0.280747
         0.329645    0.334108    0.441090


 k=(    0.111111    0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.205494    0.110250    0.162765    0.170308    0.286737
         0.334348    0.361133    0.387019


 k=(    0.000000    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.195593    0.096948    0.144373    0.151373    0.255388
         0.337379    0.399113    0.400086


 k=(   -0.111111    0.222222    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.174867    0.046837    0.130744    0.132193    0.258976
         0.324599    0.409010    0.423548


 k=(   -0.222222    0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.145983   -0.005827    0.103280    0.128364    0.264150
         0.363450    0.399460    0.418111


 k=(   -0.333333    0.222222    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.123063   -0.038095    0.083196    0.133697    0.269415
         0.391670    0.404872    0.434158


 k=(    0.555556    0.222222    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138486   -0.015187    0.075067    0.147071    0.283332
         0.388578    0.393131    0.467970


 k=(    0.444444    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162320    0.017876    0.101631    0.146140    0.311625
         0.334949    0.380913    0.408012


 k=(    0.333333    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.188703    0.074093    0.121843    0.161020    0.295618
         0.344471    0.366604    0.391167


 k=(    0.222222    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.205517    0.110854    0.163800    0.168476    0.287036
         0.335112    0.360006    0.386335


 k=(    0.111111    0.111111    0.222222):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.211143    0.124132    0.159117    0.198207    0.314643
         0.318687    0.324633    0.401294


 k=(    0.000000    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.205225    0.103255    0.167812    0.172781    0.288706
         0.336426    0.360782    0.385874


 k=(   -0.111111    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.188110    0.066404    0.122667    0.169810    0.293288
         0.345747    0.370974    0.390642


 k=(   -0.222222    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.161449    0.013624    0.100584    0.152395    0.305260
         0.340089    0.383923    0.409795


 k=(   -0.333333    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.132933   -0.031599    0.093983    0.138539    0.308760
         0.326093    0.405691    0.449193


 k=(    0.555556    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133639   -0.029928    0.094748    0.136179    0.314124
         0.321141    0.406667    0.443344


 k=(    0.444444    0.000000    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.146373   -0.003221    0.094375    0.134431    0.270418
         0.358258    0.398417    0.411803


 k=(    0.333333    0.000000    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.175130    0.050111    0.120844    0.138037    0.262514
         0.322778    0.407067    0.419207


 k=(    0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.195586    0.096579    0.145662    0.150544    0.255463
         0.337158    0.399183    0.399834


 k=(    0.111111    0.000000    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.205197    0.102506    0.167340    0.174343    0.288460
         0.335532    0.361797    0.386309


 k=(    0.000000    0.000000    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.203338    0.079899    0.181536    0.190844    0.285306
         0.330003    0.338437    0.437349


 k=(   -0.111111    0.000000    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.190129    0.055172    0.135706    0.189790    0.306948
         0.333835    0.349283    0.427029


 k=(   -0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.166590    0.024440    0.087010    0.173561    0.308364
         0.362785    0.378294    0.418983


 k=(   -0.333333    0.000000    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.136848   -0.018881    0.071125    0.154238    0.289704
         0.382767    0.388449    0.469072


 k=(    0.555556    0.000000    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122520   -0.038138    0.076431    0.140168    0.275888
         0.387719    0.397324    0.432327


 k=(    0.444444   -0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.121404   -0.025543    0.069268    0.114611    0.290901
         0.348475    0.391515    0.478937


 k=(    0.333333   -0.111111    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.151270    0.012649    0.096463    0.123637    0.273795
         0.311251    0.407094    0.468178


 k=(    0.222222   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.174744    0.045665    0.130717    0.133466    0.259535
         0.323720    0.409446    0.424139


 k=(    0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.187983    0.064784    0.123206    0.171320    0.292983
         0.345739    0.371855    0.390518


 k=(    0.000000   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.190043    0.054492    0.135181    0.191559    0.307295
         0.332119    0.350227    0.427438


 k=(   -0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.180846    0.032338    0.153370    0.159628    0.292577
         0.331891    0.373560    0.404346


 k=(   -0.222222   -0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.161016    0.011219    0.102695    0.152066    0.307907
         0.339654    0.381790    0.411896


 k=(   -0.333333   -0.111111    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.132801   -0.014805    0.064034    0.133394    0.320242
         0.353935    0.384982    0.458906


 k=(   -0.444444   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.107614   -0.041942    0.056049    0.118384    0.301877
         0.371695    0.428856    0.446214


 k=(    0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.091881   -0.051668    0.061137    0.086298    0.345124
         0.355278    0.376195    0.438842


 k=(    0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.121065   -0.027531    0.076584    0.108776    0.286647
         0.353634    0.390162    0.486991


 k=(    0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.145519   -0.007496    0.103468    0.129434    0.265301
         0.362133    0.399896    0.418744


 k=(    0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.161070    0.011772    0.100866    0.153886    0.305863
         0.341479    0.382776    0.409482


 k=(    0.000000   -0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.166310    0.022814    0.087350    0.174935    0.309833
         0.361227    0.379168    0.418385


 k=(   -0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.160853    0.010597    0.101894    0.153705    0.307224
         0.341232    0.381732    0.410536


 k=(   -0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.145056   -0.009118    0.103753    0.130314    0.266536
         0.360803    0.400521    0.419166


 k=(   -0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.120298   -0.029356    0.076361    0.110179    0.287699
         0.352421    0.391257    0.486671


 k=(   -0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.090898   -0.053116    0.060955    0.086995    0.345832
         0.354941    0.376641    0.437979


 k=(    0.444444    0.666667    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.094334   -0.047989    0.062686    0.083350    0.348488
         0.350138    0.375513    0.441385


 k=(    0.333333    0.666667    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108740   -0.041060    0.062043    0.112134    0.297025
         0.375386    0.426524    0.450136


 k=(   -0.222222    0.333333   -0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.121864   -0.040596    0.083411    0.134815    0.270632
         0.392086    0.405241    0.432832


 k=(    0.111111   -0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.131926   -0.033955    0.093900    0.140116    0.309482
         0.327663    0.405104    0.448012


 k=(    0.000000   -0.333333    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.136092   -0.021066    0.071612    0.155259    0.291132
         0.382920    0.388595    0.468455


 k=(   -0.111111   -0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.132285   -0.016322    0.064106    0.134470    0.321911
         0.353012    0.385008    0.458778


 k=(   -0.222222   -0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.120023   -0.029923    0.075627    0.111370    0.287463
         0.352449    0.392462    0.485423


 k=(   -0.333333   -0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.100974   -0.048870    0.065020    0.117936    0.249345
         0.341629    0.475040    0.476092


 k=(   -0.444444   -0.333333    0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.085112   -0.060330    0.061375    0.096330    0.280516
         0.342237    0.450192    0.460132


 k=(    0.444444    0.555556    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123439   -0.020454    0.070199    0.110183    0.288358
         0.351154    0.388672    0.479820


 k=(    0.333333    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134803   -0.008693    0.064279    0.128261    0.315324
         0.355564    0.385445    0.459956


 k=(    0.222222    0.555556    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.137763   -0.017357    0.075363    0.148373    0.284589
         0.388991    0.393111    0.466716


 k=(    0.111111    0.555556    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.132674   -0.032228    0.094536    0.137858    0.314394
         0.323179    0.406150    0.442094


 k=(    0.000000    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.121352   -0.040576    0.076822    0.140991    0.277238
         0.388537    0.397213    0.431031


 k=(    0.111111    0.444444   -0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.106431   -0.044150    0.056460    0.118961    0.303301
         0.371495    0.427005    0.446175


 k=(    0.222222    0.444444   -0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.090002   -0.054373    0.060595    0.087748    0.345872
         0.355556    0.376843    0.437002


 k=(    0.333333    0.444444   -0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.085212   -0.060194    0.061329    0.096329    0.280526
         0.342272    0.449668    0.460516


 k=(    0.555556    0.555556    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.105024   -0.041100    0.060702    0.118253    0.249735
         0.341577    0.467413    0.473635


 k=(    0.444444    0.444444    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.131862   -0.010770    0.093366    0.114411    0.243130
         0.283372    0.480288    0.481571


 k=(    0.333333    0.444444    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.151909    0.015967    0.096680    0.119886    0.275078
         0.311175    0.403232    0.468403


 k=(    0.222222    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.161917    0.015478    0.103463    0.146560    0.311159
         0.335251    0.381000    0.411103


 k=(    0.111111    0.444444    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.161503   -0.004725    0.130394    0.165687    0.293441
         0.338255    0.350605    0.474152


 k=(    0.000000    0.444444    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.151132   -0.022381    0.133673    0.157061    0.288827
         0.334544    0.354986    0.451447


 k=(   -0.111111    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.132171   -0.032936    0.090390    0.143085    0.311311
         0.329264    0.400874    0.442500


 k=(   -0.222222    0.444444    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.107142   -0.043100    0.057409    0.117697    0.300335
         0.375004    0.428117    0.445651


 k=(    0.666667    0.444444    0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.082703   -0.063080    0.059528    0.098538    0.282618
         0.340284    0.449244    0.460426


 k=(    0.555556    0.444444    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103674   -0.043166    0.086714    0.092904    0.268928
         0.279027    0.466953    0.537518


 k=(    0.444444    0.333333    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152128    0.017206    0.096483    0.118771    0.275478
         0.311175    0.401892    0.468696


 k=(    0.333333    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.175448    0.053216    0.120975    0.134713    0.261273
         0.324667    0.406216    0.416844


 k=(    0.222222    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.188581    0.072291    0.122209    0.162884    0.295156
         0.345096    0.367071    0.390722


 k=(    0.111111    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.190570    0.058844    0.138047    0.181783    0.305548
         0.340152    0.344360    0.426801


 k=(    0.000000    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.181331    0.035831    0.148683    0.160271    0.293400
         0.337811    0.365409    0.399119


 k=(   -0.111111    0.333333    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.161493    0.014321    0.098512    0.153527    0.309015
         0.342388    0.379754    0.403146


 k=(   -0.222222    0.333333    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.133344   -0.013106    0.063802    0.132284    0.318763
         0.354246    0.385415    0.459592


 k=(   -0.333333    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108573   -0.040763    0.058993    0.114786    0.300945
         0.369326    0.427020    0.449555


 k=(    0.555556    0.333333    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122479   -0.023424    0.073286    0.108795    0.290877
         0.349827    0.386176    0.484997


 k=(    0.444444    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162297    0.017567    0.102583    0.145467    0.311182
         0.334274    0.381540    0.409732


 k=(    0.333333    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.188700    0.074002    0.121930    0.161059    0.295647
         0.344518    0.366469    0.391055


 k=(    0.222222    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.205540    0.111583    0.164809    0.166522    0.287306
         0.336035    0.358786    0.385681


 k=(    0.111111    0.222222    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.211196    0.126126    0.158538    0.196169    0.313939
         0.320503    0.323530    0.401150


 k=(    0.000000    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.205310    0.105444    0.165866    0.172158    0.288561
         0.337002    0.359591    0.385449


 k=(   -0.111111    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.188231    0.067997    0.122105    0.168427    0.293623
         0.345643    0.370033    0.390678


 k=(   -0.222222    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.161610    0.014272    0.101354    0.150761    0.305903
         0.338490    0.384038    0.411196


 k=(   -0.333333    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133094   -0.031358    0.095387    0.136818    0.309400
         0.324335    0.407627    0.449048


 k=(    0.555556    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133650   -0.030055    0.096176    0.134779    0.314480
         0.319606    0.408493    0.444205


 k=(    0.444444    0.111111    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162031   -0.002759    0.130280    0.164202    0.292573
         0.337288    0.350332    0.474861


 k=(    0.333333    0.111111    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.190760    0.060725    0.137747    0.179950    0.304682
         0.341047    0.342899    0.427366


 k=(    0.222222    0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.211248    0.128076    0.158310    0.193802    0.314008
         0.321607    0.322418    0.400960


 k=(    0.111111    0.111111    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.220805    0.165220    0.193536    0.198658    0.295472
         0.313396    0.316975    0.367858


 k=(    0.000000    0.111111    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.218765    0.166120    0.179094    0.189436    0.284412
         0.333739    0.337494    0.359523


 k=(   -0.111111    0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.205241    0.103861    0.162226    0.178622    0.286721
         0.332981    0.364598    0.388290


 k=(   -0.222222    0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.181316    0.035504    0.151118    0.159102    0.290419
         0.330651    0.372665    0.406608


 k=(   -0.333333    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.151565   -0.021391    0.142170    0.148138    0.285456
         0.328156    0.363361    0.458236


 k=(    0.555556    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.138323   -0.041189    0.132173    0.152727    0.285544
         0.329356    0.354340    0.504627


 k=(    0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.151809   -0.020409    0.133147    0.156395    0.287842
         0.333033    0.355081    0.452625


 k=(    0.333333    0.000000    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.181555    0.037383    0.147805    0.159849    0.292398
         0.336749    0.365234    0.400228


 k=(    0.222222    0.000000    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.205366    0.106866    0.164579    0.171958    0.288224
         0.336618    0.359467    0.385458


 k=(    0.111111    0.000000    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.218764    0.165039    0.181085    0.188634    0.284372
         0.334358    0.336759    0.359463


 k=(    0.000000    0.000000    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.220674    0.154443    0.197283    0.207723    0.301153
         0.310215    0.316274    0.365284


 k=(   -0.111111    0.000000    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.210982    0.119432    0.158888    0.205379    0.311665
         0.319209    0.326892    0.401645


 k=(   -0.222222    0.000000    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.190351    0.057585    0.133264    0.190484    0.305599
         0.331055    0.349433    0.428719


 k=(   -0.333333    0.000000    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.161508   -0.004229    0.123931    0.173739    0.294143
         0.336396    0.346299    0.476132


 k=(   -0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.138042   -0.041498    0.124498    0.161499    0.287734
         0.333047    0.346023    0.504129


 k=(    0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.132980   -0.030874    0.089171    0.143215    0.309953
         0.329367    0.399517    0.443838


 k=(    0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.161690    0.015457    0.097517    0.153753    0.307678
         0.342636    0.380844    0.401879


 k=(    0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.188226    0.067874    0.122210    0.168507    0.293662
         0.345693    0.369852    0.390480


 k=(    0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.205179    0.102291    0.163493    0.179141    0.287109
         0.333211    0.364631    0.388032


 k=(    0.000000   -0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.210927    0.117707    0.159490    0.207212    0.311659
         0.318296    0.327831    0.401669


 k=(   -0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.205118    0.100817    0.164835    0.179441    0.287518
         0.333516    0.364638    0.387806


 k=(   -0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.188102    0.066218    0.122821    0.169944    0.293346
         0.345822    0.370696    0.390319


 k=(   -0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.161506    0.014501    0.097644    0.154772    0.306609
         0.343539    0.381401    0.402154


 k=(   -0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.132830   -0.031243    0.089149    0.143583    0.309240
         0.330018    0.399388    0.444863


 k=(   -0.444444    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.107958   -0.041418    0.056505    0.117762    0.300373
         0.373473    0.429555    0.445772


 k=(   -0.333333    0.222222   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.133325   -0.013191    0.063865    0.132315    0.318633
         0.354629    0.385119    0.459326


 k=(   -0.222222    0.222222   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.161393    0.013041    0.102438    0.150613    0.307185
         0.338303    0.382950    0.412245


 k=(   -0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.181080    0.033902    0.151999    0.159657    0.291458
         0.331198    0.373199    0.405476


 k=(    0.000000    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.190155    0.055674    0.133987    0.191920    0.306589
         0.330711    0.350331    0.428309


 k=(    0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.187980    0.064718    0.123259    0.171372    0.293003
         0.345765    0.371755    0.390394


 k=(    0.222222    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.174626    0.044574    0.131178    0.134133    0.260100
         0.322896    0.410068    0.424561


 k=(   -0.333333   -0.222222    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.151034    0.011381    0.096944    0.124492    0.273541
         0.311101    0.408400    0.468065


 k=(   -0.444444   -0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.121129   -0.026396    0.070038    0.114603    0.289414
         0.349905    0.392514    0.478978


 k=(    0.555556    0.333333   -0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.082571   -0.063247    0.059571    0.098542    0.282607
         0.340252    0.449737    0.460072


 k=(   -0.333333    0.333333   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.107707   -0.042574    0.059995    0.114739    0.300815
         0.370927    0.425499    0.449840


 k=(   -0.222222    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.132256   -0.033474    0.096697    0.136692    0.310821
         0.324115    0.408913    0.447716


 k=(   -0.111111    0.333333   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.150869   -0.023396    0.141993    0.149591    0.286445
         0.329015    0.363837    0.457083


 k=(    0.000000    0.333333   -0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.160968   -0.006223    0.124430    0.174818    0.295048
         0.337584    0.346349    0.476188


 k=(    0.111111    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.161119    0.012435    0.098704    0.155607    0.306846
         0.344148    0.380864    0.403775


 k=(    0.222222    0.333333   -0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.150812    0.010254    0.097212    0.125399    0.273191
         0.311094    0.409649    0.468166


 k=(    0.333333    0.333333   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.130391   -0.015834    0.098211    0.114114    0.242106
         0.283147    0.483691    0.488761


 k=(    0.444444    0.333333   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.101735   -0.046660    0.086167    0.095480    0.267396
         0.279944    0.472439    0.538212


 k=(    0.444444    0.555556    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103287   -0.043887    0.086724    0.093325    0.268614
         0.279210    0.468109    0.537738


 k=(    0.333333    0.555556    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.121788   -0.025383    0.074503    0.108971    0.290668
         0.350114    0.386969    0.486047


 k=(    0.222222    0.555556    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.132690   -0.032488    0.097339    0.135116    0.314819
         0.320406    0.409671    0.443920


 k=(    0.111111    0.555556    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137170   -0.043671    0.132173    0.154059    0.286457
         0.330301    0.354690    0.505605


 k=(    0.000000    0.444444   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136884   -0.043986    0.124929    0.162345    0.288660
         0.334890    0.345508    0.505026


 k=(    0.111111    0.444444   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.131857   -0.033679    0.090327    0.143838    0.309839
         0.330596    0.400555    0.444655


 k=(    0.222222    0.444444   -0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.120426   -0.028290    0.071140    0.114786    0.289263
         0.350201    0.393219    0.480115


 k=(    0.333333    0.444444   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.101339   -0.047349    0.086177    0.095846    0.267103
         0.280139    0.473493    0.538143


 k=(    0.444444    0.444444   -0.111111):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.080324   -0.071021    0.085813    0.107376    0.236693
         0.268965    0.542678    0.553844


 k=(    0.444444    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.106669   -0.044659    0.106032    0.108073    0.229411
         0.244196    0.546803    0.546964


 k=(    0.333333    0.444444    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.130859   -0.014057    0.094158    0.116435    0.244153
         0.281694    0.480887    0.486895


 k=(    0.222222    0.444444    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.145756   -0.006001    0.097965    0.133343    0.268891
         0.359526    0.398432    0.415393


 k=(    0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.151018   -0.022820    0.136108    0.155057    0.287832
         0.331451    0.359456    0.453596


 k=(    0.000000    0.444444    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.147488   -0.038530    0.160899    0.171822    0.263079
         0.325536    0.338574    0.490575


 k=(   -0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136997   -0.043859    0.127212    0.159708    0.287701
         0.331849    0.350435    0.505161


 k=(    0.222222    0.555556    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.121530   -0.040636    0.079194    0.138917    0.274301
         0.389726    0.401195    0.431358


 k=(    0.333333    0.555556    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.101506   -0.047356    0.061549    0.120319    0.251641
         0.339658    0.469731    0.476118


 k=(    0.555556    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.077453   -0.073954    0.083778    0.109441    0.238804
         0.266930    0.541518    0.553559


 k=(    0.444444    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.131156   -0.013028    0.093183    0.116492    0.244363
         0.281723    0.479927    0.485733


 k=(    0.333333    0.333333    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.157744    0.024491    0.119944    0.122240    0.234530
         0.280830    0.471413    0.471724


 k=(    0.222222    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.174902    0.047489    0.124663    0.137232    0.261597
         0.322747    0.407790    0.421964


 k=(    0.111111    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.181225    0.034972    0.150331    0.159846    0.292647
         0.334486    0.369177    0.401568


 k=(    0.000000    0.333333    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.176494    0.012310    0.167378    0.178333    0.270490
         0.330638    0.343303    0.491866


 k=(   -0.111111    0.333333    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.161187   -0.005583    0.126283    0.171719    0.294280
         0.337338    0.348638    0.474144


 k=(   -0.222222    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.136773   -0.019510    0.072787    0.152882    0.288144
         0.385229    0.390809    0.467015


 k=(   -0.333333    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.107998   -0.040234    0.048304    0.133346    0.266109
         0.418254    0.442058    0.463305


 k=(    0.555556    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.102368   -0.045743    0.060682    0.120383    0.251719
         0.339634    0.468301    0.475571


 k=(    0.444444    0.222222    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.146279   -0.003844    0.095988    0.133537    0.269017
         0.359558    0.397932    0.413561


 k=(    0.333333    0.222222    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.175067    0.049247    0.122659    0.137295    0.261822
         0.323079    0.406967    0.420496


 k=(    0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.195582    0.096362    0.146722    0.149757    0.255508
         0.337026    0.399341    0.399565


 k=(    0.111111    0.222222    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.205254    0.103888    0.165760    0.174464    0.288079
         0.335131    0.361737    0.386386


 k=(    0.000000    0.222222    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.203460    0.081575    0.179724    0.191042    0.284261
         0.328546    0.338986    0.438086


 k=(   -0.111111    0.222222    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.190324    0.057065    0.134978    0.188422    0.305861
         0.333970    0.348664    0.427446


 k=(   -0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.166868    0.026118    0.086608    0.172215    0.306824
         0.364459    0.377418    0.419587


 k=(   -0.333333    0.222222    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.137183   -0.018094    0.071693    0.153059    0.288184
         0.383807    0.389697    0.468293


 k=(    0.555556    0.222222    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122611   -0.038164    0.077606    0.139142    0.274398
         0.388340    0.399345    0.432440


 k=(    0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.151755   -0.020628    0.134332    0.155425    0.287339
         0.331471    0.357353    0.453675


 k=(    0.333333    0.111111    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.181504    0.036948    0.148652    0.159612    0.292019
         0.335064    0.367169    0.401439


 k=(    0.222222    0.111111    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.205339    0.106056    0.164750    0.172899    0.287987
         0.335639    0.360599    0.385961


 k=(    0.111111    0.111111    0.000000):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.218763    0.164481    0.182387    0.187955    0.284348
         0.335126    0.335919    0.359426


 k=(    0.000000    0.111111    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.220700    0.156448    0.195056    0.207640    0.299750
         0.309847    0.317608    0.365793


 k=(   -0.111111    0.111111    0.000000):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.211036    0.121301    0.158089    0.203644    0.311346
         0.320621    0.325759    0.401603


 k=(   -0.222222    0.111111    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.190435    0.058298    0.133731    0.188755    0.305219
         0.332615    0.348690    0.428263


 k=(   -0.333333    0.111111    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.161616   -0.003907    0.124839    0.172207    0.293749
         0.336224    0.347500    0.475118


 k=(   -0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.138097   -0.041435    0.125616    0.160204    0.287246
         0.331543    0.348481    0.504163


 k=(   -0.444444    0.000000    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.148436   -0.036282    0.159958    0.171665    0.262323
         0.324322    0.337964    0.489702


 k=(   -0.333333    0.000000    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.176862    0.014056    0.166337    0.178095    0.269668
         0.329447    0.342719    0.491815


 k=(   -0.222222    0.000000    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.203582    0.083281    0.178439    0.190624    0.283289
         0.327770    0.338843    0.438823


 k=(   -0.111111    0.000000    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.220726    0.158571    0.193277    0.206941    0.298467
         0.310062    0.318287    0.366293


 k=(    0.000000    0.000000    0.000000):       259 3-d basis functions
 the   8 eigenvalues are:
        -0.226564    0.200893    0.206419    0.218420    0.295485
         0.302283    0.305794    0.323780


 fermi energy and band-weighting factors:

FERMIE:
          first approx. to ef    (T=0)  :  0.218420 htr   (energy of the highest occ. eigenvalue)
          number of occ. states  (T=0)  :      1460
          first approx. to seigv (T=0)  :  0.192576 htr
          sum of weights of occ. states :  4.000000
          sum of semicore eigenvalues   :  0.000000 htr
          sum of semicore charge        :  0.000000 e



FERHIS:  Fermi-Energy by histogram:

          bandgap                     :   0.010290 htr
          charge neutrality (T=0)     :   0.000000    (zero if the highest occ. eigenvalue is "entirely" occupied)

     EF_NEWTON:  Adjust Fermi-Energy by Newton-Method.

               Number of iterations needed  :   4
               The error in the weight is   :  0.57524E-13
               The error in ef is           : -0.17612E-11 htr


     -->  new fermi energy            :   0.222831 htr
          valence charge              :   8.000000 e 
          actual charge blw ef-8kt    :   7.997257 e 
          actual charge blw ef+8kt    :   8.000000 e 
          number of occ. states       :      1463
          sum of the valence weights  :   4.000000
          entropy         :   0.000414 *kb htr/K =   0.00000 htr/K

          sum of val. single particle energies:         0.1925761997 htr



          valence density: spin= 1

     l-like charge
     atom     s        p        d        f        total
 --> 1    0.88814  1.16726  0.08177  0.00598    2.14473
 --> 2    0.88814  1.16726  0.08177  0.00598    2.14473
 Energy Parameters for spin:           1
 Max. mismatch of energy parameters:    0.000000

     energy parameters for window 1
     atom     s        p        d        f
 -->  1   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0
 -->  2   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0

          total charge for spin  1=    8.000000
          interst. charge =       3.710545
          mt charge=              2.144728    2.144728

          total charge  =    8.000000


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.1926        2.
               2.   0.   0.5   -4.7014        2.
               2.   1.   0.5   -3.1016        2.
               2.   1.   1.5   -3.0778        4.
          atom type  1  (spin 1) 
          kinetic energy=  0.285340632221E+03     sum of the eigenvalues= -0.158302500349E+03
          0.00180476  electrons lost from core.


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.1926        2.
               2.   0.   0.5   -4.7014        2.
               2.   1.   0.5   -3.1016        2.
               2.   1.   1.5   -3.0778        4.
          atom type  2  (spin 1) 
          kinetic energy=  0.285340632269E+03     sum of the eigenvalues= -0.158302500483E+03
          0.00180476  electrons lost from core.

          alpha=   1.39239     acoff=   0.09676

          alpha=   1.39239     acoff=   0.09676

          total charge for spin  1=   28.000000
          interst. charge =       3.714052
          mt charge=             12.142974   12.142974

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.714052
          mt charge=             12.142974   12.142974

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*



     t o t a l  e n e r g y

          sum of eigenvalues =              -316.4124246327

          density-coulomb potential int     -844.3284740086

          density-effective potential i     -898.2550405065

          charge density-ex.-corr.energ      -41.7568936144
 
 FORCES: EQUATION A3 FOR ATOM TYPE   1
 FX_A3= -0.015668  0.000000 FY_A3= -0.010484  0.000000 FZ_A3= -0.005400  0.000000
 FORCES: EQUATION A3 FOR ATOM TYPE   2
 FX_A3=  0.015668  0.000000 FY_A3=  0.010484  0.000000 FZ_A3=  0.005400  0.000000

          el.-nucl. inter. diff. m.t.        342.4386775093

          Madelung term for atom type:        -6.5578917111

          el.-nucl. inter. diff. m.t.        342.4386773266

          Madelung term for atom type:        -6.5578917791


 ----> total energy=                        -580.0716530709 htr

 ***** TOTAL FORCES ON ATOMS ***** 

 TOTAL FORCE FOR ATOM TYPE=  1  X=  1.292   Y=  1.292   Z=  1.292
                       FX_TOT=-0.015668 FY_TOT=-0.010484 FZ_TOT=-0.005400
 TOTAL FORCE FOR ATOM TYPE=  2  X= -1.369   Y= -1.344   Z= -1.318
                       FX_TOT= 0.015668 FY_TOT= 0.010484 FZ_TOT= 0.005400
eps_force= 0.00001max= 0.00138


 ---->(tkb*entropy) TS=                        0.0000004141 htr


 ----> free energy=                         -580.0716534851 htr


      extrapolation for T->0
 ----> total electron energy=               -580.0716532780 htr
 wrtdop title:alpha Si                                                                ordered*
 wrtdop title:alpha Si                                                                ordered*
     <vi|w|Fm> for it 2      16.946766

----> distance of charge densities for spin  1        it=  3:   0.743569 me/bohr**3

          total charge for spin  1=   28.000000
          interst. charge =       3.675679
          mt charge=             12.162161   12.162161

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.675679
          mt charge=             12.162161   12.162161

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*

     ******* it=  3  is completed********



             it=        4

          total charge for spin  1=   28.000000
          interst. charge =       3.675679
          mt charge=             12.162161   12.162161

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.675679
          mt charge=             12.162161   12.162161

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*


          p o t e n t i a l   g e n e r a t o r


          multipole moments for atom type=    1

  l   m                   original                      plane wave
  0   0          -0.51844E+00    0.00000E+00         0.78208E+00   -0.12957E-14
  1   0           0.15303E-02    0.00000E+00         0.12835E-02   -0.61457E-15
  1   1          -0.46619E-02    0.29682E-02        -0.38431E-02    0.24510E-02
  1  -1           0.46619E-02    0.29682E-02         0.38431E-02    0.24510E-02
  1   1          -0.46619E-02    0.29682E-02        -0.38431E-02    0.24510E-02
  1  -1           0.46619E-02    0.29682E-02         0.38431E-02    0.24510E-02
  2   0           0.51660E-03    0.00000E+00         0.49491E-03    0.16455E-16
  2   1           0.12224E-01   -0.18515E-01         0.11667E-01   -0.17646E-01
  2  -1          -0.12224E-01   -0.18515E-01        -0.11667E-01   -0.17646E-01
  2   2          -0.28716E-03    0.57950E-02        -0.27516E-03    0.55791E-02
  2  -2          -0.28716E-03   -0.57950E-02        -0.27516E-03   -0.55791E-02
  2   1           0.12224E-01   -0.18515E-01         0.11667E-01   -0.17646E-01
  2  -1          -0.12224E-01   -0.18515E-01        -0.11667E-01   -0.17646E-01
  2   2          -0.28716E-03    0.57950E-02        -0.27516E-03    0.55791E-02
  2  -2          -0.28716E-03   -0.57950E-02        -0.27516E-03   -0.55791E-02
  3   0          -0.83562E-02    0.00000E+00        -0.81187E-02   -0.98518E-15
  3   1          -0.10605E-01    0.71115E-02        -0.10243E-01    0.68739E-02
  3  -1           0.10605E-01    0.71115E-02         0.10243E-01    0.68739E-02
  3   2          -0.58579E-05    0.45249E+00        -0.51022E-05    0.44568E+00
  3  -2          -0.58579E-05   -0.45249E+00        -0.51022E-05   -0.44568E+00
  3   3           0.13673E-01    0.91484E-02         0.13207E-01    0.88458E-02
  3  -3          -0.13673E-01    0.91484E-02        -0.13207E-01    0.88458E-02
  3   1          -0.10605E-01    0.71115E-02        -0.10243E-01    0.68739E-02
  3  -1           0.10605E-01    0.71115E-02         0.10243E-01    0.68739E-02
  3   2          -0.58579E-05    0.45249E+00        -0.51022E-05    0.44568E+00
  3  -2          -0.58579E-05   -0.45249E+00        -0.51022E-05   -0.44568E+00
  3   3           0.13673E-01    0.91484E-02         0.13207E-01    0.88458E-02
  3  -3          -0.13673E-01    0.91484E-02        -0.13207E-01    0.88458E-02
  4   0          -0.26856E+00    0.00000E+00        -0.26473E+00    0.64982E-15
  4   1           0.22399E-03   -0.18805E-03         0.28414E-03   -0.28593E-03
  4  -1          -0.22399E-03   -0.18805E-03        -0.28414E-03   -0.28593E-03
  4   2          -0.31693E-03   -0.95474E-03        -0.30839E-03   -0.10082E-02
  4  -2          -0.31693E-03    0.95474E-03        -0.30839E-03    0.10082E-02
  4   3           0.50996E-03    0.45048E-03         0.67334E-03    0.71183E-03
  4  -3          -0.50996E-03    0.45048E-03        -0.67334E-03    0.71183E-03
  4   4          -0.15997E+00   -0.89038E-05        -0.15770E+00   -0.84358E-05
  4  -4          -0.15997E+00    0.89038E-05        -0.15770E+00    0.84358E-05
  4   1           0.22399E-03   -0.18805E-03         0.28414E-03   -0.28593E-03
  4  -1          -0.22399E-03   -0.18805E-03        -0.28414E-03   -0.28593E-03
  4   2          -0.31693E-03   -0.95474E-03        -0.30839E-03   -0.10082E-02
  4  -2          -0.31693E-03    0.95474E-03        -0.30839E-03    0.10082E-02
  4   3           0.50996E-03    0.45048E-03         0.67334E-03    0.71183E-03
  4  -3          -0.50996E-03    0.45048E-03        -0.67334E-03    0.71183E-03
  4   4          -0.15997E+00   -0.89038E-05        -0.15770E+00   -0.84358E-05
  4  -4          -0.15997E+00    0.89038E-05        -0.15770E+00    0.84358E-05
  5   0           0.53242E-02    0.00000E+00         0.52702E-02   -0.58321E-15
  5   1           0.47577E-02   -0.29621E-02         0.46146E-02   -0.28695E-02
  5  -1          -0.47577E-02   -0.29621E-02        -0.46146E-02   -0.28695E-02
  5   2           0.78495E-05    0.63257E-03         0.77313E-05    0.62014E-03
  5  -2           0.78495E-05   -0.63257E-03         0.77313E-05   -0.62014E-03
  5   3           0.18285E-01    0.12097E-01         0.17985E-01    0.11897E-01
  5  -3          -0.18285E-01    0.12097E-01        -0.17985E-01    0.11897E-01
  5   4          -0.48432E-02   -0.49727E-03        -0.47407E-02   -0.48743E-03
  5  -4          -0.48432E-02    0.49727E-03        -0.47407E-02    0.48743E-03
  5   5          -0.35630E-02    0.25142E-02        -0.35674E-02    0.25147E-02
  5  -5           0.35630E-02    0.25142E-02         0.35674E-02    0.25147E-02
  5   1           0.47577E-02   -0.29621E-02         0.46146E-02   -0.28695E-02
  5  -1          -0.47577E-02   -0.29621E-02        -0.46146E-02   -0.28695E-02
  5   2           0.78495E-05    0.63257E-03         0.77313E-05    0.62014E-03
  5  -2           0.78495E-05   -0.63257E-03         0.77313E-05   -0.62014E-03
  5   3           0.18285E-01    0.12097E-01         0.17985E-01    0.11897E-01
  5  -3          -0.18285E-01    0.12097E-01        -0.17985E-01    0.11897E-01
  5   4          -0.48432E-02   -0.49727E-03        -0.47407E-02   -0.48743E-03
  5  -4          -0.48432E-02    0.49727E-03        -0.47407E-02    0.48743E-03
  5   5          -0.35630E-02    0.25142E-02        -0.35674E-02    0.25147E-02
  5  -5           0.35630E-02    0.25142E-02         0.35674E-02    0.25147E-02
  6   0           0.10631E+00    0.00000E+00         0.10539E+00    0.11090E-14
  6   1          -0.66265E-02    0.10057E-01        -0.65772E-02    0.99842E-02
  6  -1           0.66265E-02    0.10057E-01         0.65772E-02    0.99842E-02
  6   2           0.12329E-03   -0.62368E-02         0.12233E-03   -0.61818E-02
  6  -2           0.12329E-03    0.62368E-02         0.12233E-03    0.61818E-02
  6   3          -0.44063E-02   -0.64029E-02        -0.43698E-02   -0.63505E-02
  6  -3           0.44063E-02   -0.64029E-02         0.43698E-02   -0.63505E-02
  6   4          -0.19969E+00   -0.61979E-05        -0.19796E+00   -0.62881E-05
  6  -4          -0.19969E+00    0.61979E-05        -0.19796E+00    0.62881E-05
  6   5          -0.10006E-01    0.14886E-01        -0.99266E-02    0.14771E-01
  6  -5           0.10006E-01    0.14886E-01         0.99266E-02    0.14771E-01
  6   6           0.18332E-03   -0.21527E-02         0.18192E-03   -0.21348E-02
  6  -6           0.18332E-03    0.21527E-02         0.18192E-03    0.21348E-02
  6   1          -0.66265E-02    0.10057E-01        -0.65772E-02    0.99842E-02
  6  -1           0.66265E-02    0.10057E-01         0.65772E-02    0.99842E-02
  6   2           0.12329E-03   -0.62368E-02         0.12233E-03   -0.61818E-02
  6  -2           0.12329E-03    0.62368E-02         0.12233E-03    0.61818E-02
  6   3          -0.44063E-02   -0.64029E-02        -0.43698E-02   -0.63505E-02
  6  -3           0.44063E-02   -0.64029E-02         0.43698E-02   -0.63505E-02
  6   4          -0.19969E+00   -0.61979E-05        -0.19796E+00   -0.62881E-05
  6  -4          -0.19969E+00    0.61979E-05        -0.19796E+00    0.62881E-05
  6   5          -0.10006E-01    0.14886E-01        -0.99266E-02    0.14771E-01
  6  -5           0.10006E-01    0.14886E-01         0.99266E-02    0.14771E-01
  6   6           0.18332E-03   -0.21527E-02         0.18192E-03   -0.21348E-02
  6  -6           0.18332E-03    0.21527E-02         0.18192E-03    0.21348E-02
  7   0           0.25470E-02    0.00000E+00         0.25318E-02    0.44662E-14
  7   1           0.51940E-02   -0.35754E-02         0.51826E-02   -0.35677E-02
  7  -1          -0.51940E-02   -0.35754E-02        -0.51826E-02   -0.35677E-02
  7   2           0.27684E-05   -0.13275E+00         0.27591E-05   -0.13284E+00
  7  -2           0.27684E-05    0.13275E+00         0.27591E-05    0.13284E+00
  7   3          -0.13876E-02   -0.94041E-03        -0.13726E-02   -0.93052E-03
  7  -3           0.13876E-02   -0.94041E-03         0.13726E-02   -0.93052E-03
  7   4           0.24442E-02   -0.36855E-03         0.24455E-02   -0.36938E-03
  7  -4           0.24442E-02    0.36855E-03         0.24455E-02    0.36938E-03
  7   5          -0.24728E-02    0.17097E-02        -0.24928E-02    0.17232E-02
  7  -5           0.24728E-02    0.17097E-02         0.24928E-02    0.17232E-02
  7   6           0.56283E-05   -0.12148E+00         0.55698E-05   -0.12156E+00
  7  -6           0.56283E-05    0.12148E+00         0.55698E-05    0.12156E+00
  7   7          -0.48345E-02   -0.33120E-02        -0.48140E-02   -0.32984E-02
  7  -7           0.48345E-02   -0.33120E-02         0.48140E-02   -0.32984E-02
  7   1           0.51940E-02   -0.35754E-02         0.51826E-02   -0.35677E-02
  7  -1          -0.51940E-02   -0.35754E-02        -0.51826E-02   -0.35677E-02
  7   2           0.27684E-05   -0.13275E+00         0.27591E-05   -0.13284E+00
  7  -2           0.27684E-05    0.13275E+00         0.27591E-05    0.13284E+00
  7   3          -0.13876E-02   -0.94041E-03        -0.13726E-02   -0.93052E-03
  7  -3           0.13876E-02   -0.94041E-03         0.13726E-02   -0.93052E-03
  7   4           0.24442E-02   -0.36855E-03         0.24455E-02   -0.36938E-03
  7  -4           0.24442E-02    0.36855E-03         0.24455E-02    0.36938E-03
  7   5          -0.24728E-02    0.17097E-02        -0.24928E-02    0.17232E-02
  7  -5           0.24728E-02    0.17097E-02         0.24928E-02    0.17232E-02
  7   6           0.56283E-05   -0.12148E+00         0.55698E-05   -0.12156E+00
  7  -6           0.56283E-05    0.12148E+00         0.55698E-05    0.12156E+00
  7   7          -0.48345E-02   -0.33120E-02        -0.48140E-02   -0.32984E-02
  7  -7           0.48345E-02   -0.33120E-02         0.48140E-02   -0.32984E-02
  8   0           0.53985E-01    0.00000E+00         0.57990E-01   -0.89717E-15
  8   1           0.76672E-03   -0.12186E-02         0.70805E-03   -0.11236E-02
  8  -1          -0.76672E-03   -0.12186E-02        -0.70805E-03   -0.11236E-02
  8   2           0.10765E-03    0.32183E-02         0.11714E-03    0.35282E-02
  8  -2           0.10765E-03   -0.32183E-02         0.11714E-03   -0.35282E-02
  8   3          -0.72062E-03   -0.97256E-03        -0.94268E-03   -0.13107E-02
  8  -3           0.72062E-03   -0.97256E-03         0.94268E-03   -0.13107E-02
  8   4           0.19819E-01    0.91290E-05         0.21322E-01    0.91556E-05
  8  -4           0.19819E-01   -0.91290E-05         0.21322E-01   -0.91556E-05
  8   5          -0.60295E-02    0.90541E-02        -0.64467E-02    0.96747E-02
  8  -5           0.60295E-02    0.90541E-02         0.64467E-02    0.96747E-02
  8   6           0.35260E-03   -0.15798E-02         0.35644E-03   -0.16281E-02
  8  -6           0.35260E-03    0.15798E-02         0.35644E-03    0.16281E-02
  8   7          -0.33534E-02   -0.49493E-02        -0.37903E-02   -0.56098E-02
  8  -7           0.33534E-02   -0.49493E-02         0.37903E-02   -0.56098E-02
  8   8           0.30537E-01   -0.79872E-06         0.32816E-01   -0.14545E-05
  8  -8           0.30537E-01    0.79872E-06         0.32816E-01    0.14545E-05
  8   1           0.76672E-03   -0.12186E-02         0.70805E-03   -0.11236E-02
  8  -1          -0.76672E-03   -0.12186E-02        -0.70805E-03   -0.11236E-02
  8   2           0.10765E-03    0.32183E-02         0.11714E-03    0.35282E-02
  8  -2           0.10765E-03   -0.32183E-02         0.11714E-03   -0.35282E-02
  8   3          -0.72062E-03   -0.97256E-03        -0.94268E-03   -0.13107E-02
  8  -3           0.72062E-03   -0.97256E-03         0.94268E-03   -0.13107E-02
  8   4           0.19819E-01    0.91290E-05         0.21322E-01    0.91556E-05
  8  -4           0.19819E-01   -0.91290E-05         0.21322E-01   -0.91556E-05
  8   5          -0.60295E-02    0.90541E-02        -0.64467E-02    0.96747E-02
  8  -5           0.60295E-02    0.90541E-02         0.64467E-02    0.96747E-02
  8   6           0.35260E-03   -0.15798E-02         0.35644E-03   -0.16281E-02
  8  -6           0.35260E-03    0.15798E-02         0.35644E-03    0.16281E-02
  8   7          -0.33534E-02   -0.49493E-02        -0.37903E-02   -0.56098E-02
  8  -7           0.33534E-02   -0.49493E-02         0.37903E-02   -0.56098E-02
  8   8           0.30537E-01   -0.79872E-06         0.32816E-01   -0.14545E-05
  8  -8           0.30537E-01    0.79872E-06         0.32816E-01    0.14545E-05

          multipole moments for atom type=    2

  l   m                   original                      plane wave
  0   0          -0.51844E+00    0.00000E+00         0.78208E+00   -0.13619E-14
  1   0          -0.15303E-02    0.00000E+00        -0.12835E-02    0.53709E-15
  1   1           0.46620E-02   -0.29682E-02         0.38431E-02   -0.24509E-02
  1  -1          -0.46620E-02   -0.29682E-02        -0.38431E-02   -0.24509E-02
  1   1           0.46620E-02   -0.29682E-02         0.38431E-02   -0.24509E-02
  1  -1          -0.46620E-02   -0.29682E-02        -0.38431E-02   -0.24509E-02
  2   0           0.51661E-03    0.00000E+00         0.49492E-03    0.48066E-17
  2   1           0.12224E-01   -0.18515E-01         0.11667E-01   -0.17646E-01
  2  -1          -0.12224E-01   -0.18515E-01        -0.11667E-01   -0.17646E-01
  2   2          -0.28720E-03    0.57951E-02        -0.27520E-03    0.55792E-02
  2  -2          -0.28720E-03   -0.57951E-02        -0.27520E-03   -0.55792E-02
  2   1           0.12224E-01   -0.18515E-01         0.11667E-01   -0.17646E-01
  2  -1          -0.12224E-01   -0.18515E-01        -0.11667E-01   -0.17646E-01
  2   2          -0.28720E-03    0.57951E-02        -0.27520E-03    0.55792E-02
  2  -2          -0.28720E-03   -0.57951E-02        -0.27520E-03   -0.55792E-02
  3   0           0.83562E-02    0.00000E+00         0.81187E-02   -0.19888E-15
  3   1           0.10605E-01   -0.71115E-02         0.10243E-01   -0.68739E-02
  3  -1          -0.10605E-01   -0.71115E-02        -0.10243E-01   -0.68739E-02
  3   2           0.58539E-05   -0.45249E+00         0.51047E-05   -0.44568E+00
  3  -2           0.58539E-05    0.45249E+00         0.51047E-05    0.44568E+00
  3   3          -0.13673E-01   -0.91484E-02        -0.13207E-01   -0.88458E-02
  3  -3           0.13673E-01   -0.91484E-02         0.13207E-01   -0.88458E-02
  3   1           0.10605E-01   -0.71115E-02         0.10243E-01   -0.68739E-02
  3  -1          -0.10605E-01   -0.71115E-02        -0.10243E-01   -0.68739E-02
  3   2           0.58539E-05   -0.45249E+00         0.51047E-05   -0.44568E+00
  3  -2           0.58539E-05    0.45249E+00         0.51047E-05    0.44568E+00
  3   3          -0.13673E-01   -0.91484E-02        -0.13207E-01   -0.88458E-02
  3  -3           0.13673E-01   -0.91484E-02         0.13207E-01   -0.88458E-02
  4   0          -0.26856E+00    0.00000E+00        -0.26473E+00    0.27114E-14
  4   1           0.22398E-03   -0.18794E-03         0.28413E-03   -0.28584E-03
  4  -1          -0.22398E-03   -0.18794E-03        -0.28413E-03   -0.28584E-03
  4   2          -0.31695E-03   -0.95473E-03        -0.30842E-03   -0.10082E-02
  4  -2          -0.31695E-03    0.95473E-03        -0.30842E-03    0.10082E-02
  4   3           0.50995E-03    0.45065E-03         0.67331E-03    0.71201E-03
  4  -3          -0.50995E-03    0.45065E-03        -0.67331E-03    0.71201E-03
  4   4          -0.15997E+00   -0.88320E-05        -0.15769E+00   -0.83627E-05
  4  -4          -0.15997E+00    0.88320E-05        -0.15769E+00    0.83627E-05
  4   1           0.22398E-03   -0.18794E-03         0.28413E-03   -0.28584E-03
  4  -1          -0.22398E-03   -0.18794E-03        -0.28413E-03   -0.28584E-03
  4   2          -0.31695E-03   -0.95473E-03        -0.30842E-03   -0.10082E-02
  4  -2          -0.31695E-03    0.95473E-03        -0.30842E-03    0.10082E-02
  4   3           0.50995E-03    0.45065E-03         0.67331E-03    0.71201E-03
  4  -3          -0.50995E-03    0.45065E-03        -0.67331E-03    0.71201E-03
  4   4          -0.15997E+00   -0.88320E-05        -0.15769E+00   -0.83627E-05
  4  -4          -0.15997E+00    0.88320E-05        -0.15769E+00    0.83627E-05
  5   0          -0.53243E-02    0.00000E+00        -0.52703E-02   -0.20103E-14
  5   1          -0.47577E-02    0.29621E-02        -0.46146E-02    0.28695E-02
  5  -1           0.47577E-02    0.29621E-02         0.46146E-02    0.28695E-02
  5   2          -0.78611E-05   -0.63266E-03        -0.77398E-05   -0.62023E-03
  5  -2          -0.78611E-05    0.63266E-03        -0.77398E-05    0.62023E-03
  5   3          -0.18285E-01   -0.12098E-01        -0.17985E-01   -0.11897E-01
  5  -3           0.18285E-01   -0.12098E-01         0.17985E-01   -0.11897E-01
  5   4           0.48434E-02    0.49767E-03         0.47410E-02    0.48785E-03
  5  -4           0.48434E-02   -0.49767E-03         0.47410E-02   -0.48785E-03
  5   5           0.35606E-02   -0.25142E-02         0.35649E-02   -0.25147E-02
  5  -5          -0.35606E-02   -0.25142E-02        -0.35649E-02   -0.25147E-02
  5   1          -0.47577E-02    0.29621E-02        -0.46146E-02    0.28695E-02
  5  -1           0.47577E-02    0.29621E-02         0.46146E-02    0.28695E-02
  5   2          -0.78611E-05   -0.63266E-03        -0.77398E-05   -0.62023E-03
  5  -2          -0.78611E-05    0.63266E-03        -0.77398E-05    0.62023E-03
  5   3          -0.18285E-01   -0.12098E-01        -0.17985E-01   -0.11897E-01
  5  -3           0.18285E-01   -0.12098E-01         0.17985E-01   -0.11897E-01
  5   4           0.48434E-02    0.49767E-03         0.47410E-02    0.48785E-03
  5  -4           0.48434E-02   -0.49767E-03         0.47410E-02   -0.48785E-03
  5   5           0.35606E-02   -0.25142E-02         0.35649E-02   -0.25147E-02
  5  -5          -0.35606E-02   -0.25142E-02        -0.35649E-02   -0.25147E-02
  6   0           0.10631E+00    0.00000E+00         0.10539E+00    0.20766E-14
  6   1          -0.66265E-02    0.10057E-01        -0.65772E-02    0.99841E-02
  6  -1           0.66265E-02    0.10057E-01         0.65772E-02    0.99841E-02
  6   2           0.12352E-03   -0.62368E-02         0.12257E-03   -0.61818E-02
  6  -2           0.12352E-03    0.62368E-02         0.12257E-03    0.61818E-02
  6   3          -0.44063E-02   -0.64028E-02        -0.43699E-02   -0.63503E-02
  6  -3           0.44063E-02   -0.64028E-02         0.43699E-02   -0.63503E-02
  6   4          -0.19969E+00   -0.60700E-05        -0.19796E+00   -0.61587E-05
  6  -4          -0.19969E+00    0.60700E-05        -0.19796E+00    0.61587E-05
  6   5          -0.10006E-01    0.14886E-01        -0.99266E-02    0.14770E-01
  6  -5           0.10006E-01    0.14886E-01         0.99266E-02    0.14770E-01
  6   6           0.18279E-03   -0.21522E-02         0.18135E-03   -0.21344E-02
  6  -6           0.18279E-03    0.21522E-02         0.18135E-03    0.21344E-02
  6   1          -0.66265E-02    0.10057E-01        -0.65772E-02    0.99841E-02
  6  -1           0.66265E-02    0.10057E-01         0.65772E-02    0.99841E-02
  6   2           0.12352E-03   -0.62368E-02         0.12257E-03   -0.61818E-02
  6  -2           0.12352E-03    0.62368E-02         0.12257E-03    0.61818E-02
  6   3          -0.44063E-02   -0.64028E-02        -0.43699E-02   -0.63503E-02
  6  -3           0.44063E-02   -0.64028E-02         0.43699E-02   -0.63503E-02
  6   4          -0.19969E+00   -0.60700E-05        -0.19796E+00   -0.61587E-05
  6  -4          -0.19969E+00    0.60700E-05        -0.19796E+00    0.61587E-05
  6   5          -0.10006E-01    0.14886E-01        -0.99266E-02    0.14770E-01
  6  -5           0.10006E-01    0.14886E-01         0.99266E-02    0.14770E-01
  6   6           0.18279E-03   -0.21522E-02         0.18135E-03   -0.21344E-02
  6  -6           0.18279E-03    0.21522E-02         0.18135E-03    0.21344E-02
  7   0          -0.25467E-02    0.00000E+00        -0.25315E-02   -0.19972E-15
  7   1          -0.51941E-02    0.35754E-02        -0.51827E-02    0.35678E-02
  7  -1           0.51941E-02    0.35754E-02         0.51827E-02    0.35678E-02
  7   2          -0.27086E-05    0.13275E+00        -0.26974E-05    0.13284E+00
  7  -2          -0.27086E-05   -0.13275E+00        -0.26974E-05   -0.13284E+00
  7   3           0.13885E-02    0.94043E-03         0.13736E-02    0.93054E-03
  7  -3          -0.13885E-02    0.94043E-03        -0.13736E-02    0.93054E-03
  7   4          -0.24441E-02    0.36846E-03        -0.24454E-02    0.36929E-03
  7  -4          -0.24441E-02   -0.36846E-03        -0.24454E-02   -0.36929E-03
  7   5           0.24736E-02   -0.17098E-02         0.24936E-02   -0.17232E-02
  7  -5          -0.24736E-02   -0.17098E-02        -0.24936E-02   -0.17232E-02
  7   6          -0.53345E-05    0.12148E+00        -0.52673E-05    0.12156E+00
  7  -6          -0.53345E-05   -0.12148E+00        -0.52673E-05   -0.12156E+00
  7   7           0.48344E-02    0.33116E-02         0.48139E-02    0.32980E-02
  7  -7          -0.48344E-02    0.33116E-02        -0.48139E-02    0.32980E-02
  7   1          -0.51941E-02    0.35754E-02        -0.51827E-02    0.35678E-02
  7  -1           0.51941E-02    0.35754E-02         0.51827E-02    0.35678E-02
  7   2          -0.27086E-05    0.13275E+00        -0.26974E-05    0.13284E+00
  7  -2          -0.27086E-05   -0.13275E+00        -0.26974E-05   -0.13284E+00
  7   3           0.13885E-02    0.94043E-03         0.13736E-02    0.93054E-03
  7  -3          -0.13885E-02    0.94043E-03        -0.13736E-02    0.93054E-03
  7   4          -0.24441E-02    0.36846E-03        -0.24454E-02    0.36929E-03
  7  -4          -0.24441E-02   -0.36846E-03        -0.24454E-02   -0.36929E-03
  7   5           0.24736E-02   -0.17098E-02         0.24936E-02   -0.17232E-02
  7  -5          -0.24736E-02   -0.17098E-02        -0.24936E-02   -0.17232E-02
  7   6          -0.53345E-05    0.12148E+00        -0.52673E-05    0.12156E+00
  7  -6          -0.53345E-05   -0.12148E+00        -0.52673E-05   -0.12156E+00
  7   7           0.48344E-02    0.33116E-02         0.48139E-02    0.32980E-02
  7  -7          -0.48344E-02    0.33116E-02        -0.48139E-02    0.32980E-02
  8   0           0.53985E-01    0.00000E+00         0.57990E-01   -0.93923E-14
  8   1           0.76664E-03   -0.12191E-02         0.70797E-03   -0.11243E-02
  8  -1          -0.76664E-03   -0.12191E-02        -0.70797E-03   -0.11243E-02
  8   2           0.10759E-03    0.32185E-02         0.11711E-03    0.35284E-02
  8  -2           0.10759E-03   -0.32185E-02         0.11711E-03   -0.35284E-02
  8   3          -0.72073E-03   -0.97289E-03        -0.94281E-03   -0.13111E-02
  8  -3           0.72073E-03   -0.97289E-03         0.94281E-03   -0.13111E-02
  8   4           0.19819E-01    0.92687E-05         0.21322E-01    0.93198E-05
  8  -4           0.19819E-01   -0.92687E-05         0.21322E-01   -0.93198E-05
  8   5          -0.60295E-02    0.90528E-02        -0.64467E-02    0.96733E-02
  8  -5           0.60295E-02    0.90528E-02         0.64467E-02    0.96733E-02
  8   6           0.35282E-03   -0.15799E-02         0.35665E-03   -0.16282E-02
  8  -6           0.35282E-03    0.15799E-02         0.35665E-03    0.16282E-02
  8   7          -0.33534E-02   -0.49478E-02        -0.37903E-02   -0.56083E-02
  8  -7           0.33534E-02   -0.49478E-02         0.37903E-02   -0.56083E-02
  8   8           0.30537E-01   -0.85128E-06         0.32816E-01   -0.15133E-05
  8  -8           0.30537E-01    0.85128E-06         0.32816E-01    0.15133E-05
  8   1           0.76664E-03   -0.12191E-02         0.70797E-03   -0.11243E-02
  8  -1          -0.76664E-03   -0.12191E-02        -0.70797E-03   -0.11243E-02
  8   2           0.10759E-03    0.32185E-02         0.11711E-03    0.35284E-02
  8  -2           0.10759E-03   -0.32185E-02         0.11711E-03   -0.35284E-02
  8   3          -0.72073E-03   -0.97289E-03        -0.94281E-03   -0.13111E-02
  8  -3           0.72073E-03   -0.97289E-03         0.94281E-03   -0.13111E-02
  8   4           0.19819E-01    0.92687E-05         0.21322E-01    0.93198E-05
  8  -4           0.19819E-01   -0.92687E-05         0.21322E-01   -0.93198E-05
  8   5          -0.60295E-02    0.90528E-02        -0.64467E-02    0.96733E-02
  8  -5           0.60295E-02    0.90528E-02         0.64467E-02    0.96733E-02
  8   6           0.35282E-03   -0.15799E-02         0.35665E-03   -0.16282E-02
  8  -6           0.35282E-03    0.15799E-02         0.35665E-03    0.16282E-02
  8   7          -0.33534E-02   -0.49478E-02        -0.37903E-02   -0.56083E-02
  8  -7           0.33534E-02   -0.49478E-02         0.37903E-02   -0.56083E-02
  8   8           0.30537E-01   -0.85128E-06         0.32816E-01   -0.15133E-05
  8  -8           0.30537E-01    0.85128E-06         0.32816E-01    0.15133E-05

          integral of pseudo charge density inside the slab=        0.000000   0.000000

     coulomb potential in the interstitial region:

          density-coulomb potential integrals


          interstitial :                       0.7728888164

          muffin tin spheres :              -845.1563547849

          total density-coulomb potenti     -844.3834659685
 wrtdop title:alpha Si                                                                ordered*

     interstitial potential average (vbar) = -0.028325

 999idsprs in starting of nmtxad= 0

          density-effective potential integrals for spin  1


          interstitial :                      -0.4689056836

          muffin tin spheres :              -897.8283222508

          total density-effective poten     -898.2972279345

          charge density-energy density integrals


          interstitial :                      -0.9693947752

          muffin tin spheres :               -40.7776616940

          total charge density-energy d      -41.7470564692
 vgen: pottot deleted
 wrtdop title:alpha Si                                                                ordered*
 IT=   4  ISEC1=  99 standard diagonalization
  Atom  1 3s branch from -4.72 to  1.07 htr. ; e_l = -0.1338
  Atom  1 3p branch from -3.10 to  1.55 htr. ; e_l =  0.0502
  Atom  1 3d branch from -9.99 to  1.96 htr. ; e_l =  0.2440
  Atom  1 4f branch from -9.99 to  4.11 htr. ; e_l =  0.4118
  Atom  2 3s branch from -4.72 to  1.07 htr. ; e_l = -0.1338
  Atom  2 3p branch from -3.10 to  1.55 htr. ; e_l =  0.0502
  Atom  2 3d branch from -9.99 to  1.96 htr. ; e_l =  0.2440
  Atom  2 4f branch from -9.99 to  4.11 htr. ; e_l =  0.4118


 wavefunction parameters for atom type  1:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.13377        4.7821973E-01  -2.4447128E-01    2       -3.1211192E-01  -7.4519966E-01    2   1.0750004E-01   4.3267158E-01
  1   0.05019       -5.5367983E-01   9.9177550E-02    1        2.6580632E-01   7.3386205E-01    2   7.9397780E-02   4.3268664E-01
  2   0.24399        6.4456583E-01   1.6367245E-01    0       -2.3270499E-01  -7.3036997E-01    1   6.5044261E-02   4.3268413E-01
  3   0.41176        8.3802195E-01   7.5547465E-01    0       -1.2156721E-01  -6.2590207E-01    1   1.3116389E-02   4.3267873E-01
  4   0.41176        9.7736594E-01   1.4626658E+00    0       -8.2129596E-02  -5.6559814E-01    1   4.9160516E-03   4.3266820E-01
  5   0.41176        1.0889874E+00   2.2153567E+00    0       -6.1660335E-02  -5.2273802E-01    1   2.3794424E-03   4.3265549E-01
  6   0.41176        1.1859716E+00   3.0205933E+00    0       -4.8925171E-02  -4.8940753E-01    1   1.3189591E-03   4.3264039E-01
  7   0.41176        1.2734294E+00   3.8786352E+00    0       -4.0219987E-02  -4.6223332E-01    1   7.9808444E-04   4.3262283E-01
  8   0.41176        1.3539839E+00   4.7880749E+00    0       -3.3904893E-02  -4.3940106E-01    1   5.1413517E-04   4.3260279E-01


 wavefunction parameters for atom type  2:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.13377        4.7821972E-01  -2.4447128E-01    2       -3.1211192E-01  -7.4519966E-01    2   1.0750004E-01   4.3267158E-01
  1   0.05019       -5.5367983E-01   9.9177559E-02    1        2.6580632E-01   7.3386205E-01    2   7.9397781E-02   4.3268664E-01
  2   0.24399        6.4456583E-01   1.6367244E-01    0       -2.3270499E-01  -7.3036997E-01    1   6.5044263E-02   4.3268413E-01
  3   0.41176        8.3802195E-01   7.5547464E-01    0       -1.2156721E-01  -6.2590207E-01    1   1.3116389E-02   4.3267873E-01
  4   0.41176        9.7736594E-01   1.4626658E+00    0       -8.2129596E-02  -5.6559814E-01    1   4.9160516E-03   4.3266820E-01
  5   0.41176        1.0889874E+00   2.2153567E+00    0       -6.1660335E-02  -5.2273802E-01    1   2.3794424E-03   4.3265549E-01
  6   0.41176        1.1859716E+00   3.0205933E+00    0       -4.8925171E-02  -4.8940754E-01    1   1.3189591E-03   4.3264039E-01
  7   0.41176        1.2734294E+00   3.8786352E+00    0       -4.0219988E-02  -4.6223332E-01    1   7.9808444E-04   4.3262283E-01
  8   0.41176        1.3539839E+00   4.7880749E+00    0       -3.3904893E-02  -4.3940106E-01    1   5.1413518E-04   4.3260279E-01


 k=(    0.444444    0.444444    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.152853   -0.031050    0.159783    0.164342    0.258839
         0.324789    0.330073    0.487053


 k=(    0.333333    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155397   -0.016344    0.134787    0.147575    0.282970
         0.327245    0.355670    0.456886


 k=(    0.222222    0.444444    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149204   -0.001135    0.095850    0.127251    0.263623
         0.363124    0.395997    0.410993


 k=(    0.111111    0.444444    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133480   -0.013114    0.094518    0.110841    0.239995
         0.284524    0.479587    0.481552


 k=(    0.000000    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.108629   -0.046014    0.102654    0.107947    0.227900
         0.244311    0.544849    0.545655


 k=(   -0.111111    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.085136   -0.069467    0.085975    0.103965    0.233411
         0.270513    0.543048    0.551995


 k=(    0.222222    0.555556    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107317   -0.042424    0.061686    0.114572    0.246269
         0.343028    0.468818    0.472009


 k=(    0.333333    0.555556    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.127783   -0.032488    0.076919    0.132610    0.268765
         0.387044    0.398012    0.435003


 k=(    0.555556    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143129   -0.035529    0.125533    0.152316    0.283074
         0.327946    0.346747    0.500882


 k=(    0.444444    0.333333    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155438   -0.016154    0.132866    0.149365    0.283447
         0.328221    0.353969    0.455798


 k=(    0.333333    0.333333    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.164748    0.000197    0.121657    0.167424    0.290468
         0.337116    0.339432    0.476515


 k=(    0.222222    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164246    0.018077    0.096680    0.147241    0.304158
         0.336474    0.384417    0.403423


 k=(    0.111111    0.333333    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153393    0.013124    0.095222    0.119341    0.273333
         0.310757    0.403030    0.466837


 k=(    0.000000    0.333333    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132499   -0.015869    0.090894    0.116348    0.245189
         0.279191    0.480315    0.484043


 k=(   -0.111111    0.333333    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103728   -0.048035    0.083985    0.094554    0.265637
         0.279926    0.470912    0.536347


 k=(   -0.222222    0.333333    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.089545   -0.058872    0.061482    0.092902    0.277056
         0.343739    0.449286    0.458301


 k=(    0.666667    0.333333    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113908   -0.035476    0.057483    0.109919    0.295012
         0.369712    0.431976    0.447951


 k=(    0.555556    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137699   -0.025393    0.090968    0.133144    0.309124
         0.319187    0.403107    0.446811


 k=(    0.444444    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149263   -0.000644    0.094040    0.128538    0.264902
         0.361803    0.396018    0.409727


 k=(    0.333333    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164255    0.018290    0.095877    0.147923    0.304512
         0.337292    0.383778    0.401484


 k=(    0.222222    0.222222    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169055    0.027297    0.085432    0.166778    0.303892
         0.365042    0.374947    0.419204


 k=(    0.111111    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163237    0.012248    0.101179    0.147068    0.311016
         0.336194    0.378126    0.407592


 k=(    0.000000    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147108   -0.008688    0.095196    0.133362    0.270610
         0.356110    0.397906    0.412541


 k=(   -0.111111    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122019   -0.030323    0.069408    0.113519    0.291042
         0.346702    0.390541    0.479448


 k=(   -0.222222    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.092968   -0.054539    0.059429    0.085775    0.343776
         0.355287    0.374930    0.436440


 k=(    0.666667    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.097083   -0.048314    0.061680    0.081143    0.346092
         0.350077    0.373667    0.440753


 k=(    0.555556    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125508   -0.021708    0.070919    0.106206    0.286394
         0.351676    0.385567    0.480990


 k=(    0.444444    0.111111    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133512   -0.012921    0.093228    0.111889    0.241104
         0.283513    0.478687    0.481223


 k=(    0.333333    0.111111    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153370    0.012940    0.095460    0.119320    0.273506
         0.310483    0.403075    0.466654


 k=(    0.222222    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163209    0.011938    0.102087    0.146448    0.310606
         0.335453    0.378736    0.409329


 k=(    0.111111    0.111111    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162628   -0.008304    0.129114    0.165074    0.292971
         0.338705    0.349123    0.472816


 k=(    0.000000    0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152072   -0.026150    0.133787    0.154917    0.288027
         0.333315    0.356015    0.450097


 k=(   -0.111111    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.132907   -0.037015    0.090085    0.141706    0.310796
         0.328729    0.400707    0.440870


 k=(   -0.222222    0.111111    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.107687   -0.047164    0.056584    0.116795    0.300754
         0.373614    0.424712    0.444734


 k=(    0.666667    0.111111    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.083184   -0.066399    0.057593    0.097954    0.282985
         0.337903    0.447507    0.459214


 k=(    0.555556    0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105520   -0.044829    0.084910    0.091791    0.267543
         0.278559    0.465451    0.535835


 k=(    0.444444    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.108484   -0.046311    0.103609    0.107228    0.228333
         0.243781    0.544978    0.545491


 k=(    0.333333    0.000000    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132364   -0.016467    0.092352    0.115567    0.244169
         0.279937    0.480242    0.485351


 k=(    0.222222    0.000000    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147001   -0.009316    0.096852    0.132423    0.269247
         0.357200    0.397680    0.414234


 k=(    0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152012   -0.026373    0.135065    0.153856    0.287550
         0.331760    0.358221    0.451210


 k=(    0.000000    0.000000    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.148228   -0.042287    0.160530    0.169576    0.262394
         0.326598    0.337337    0.491221


 k=(   -0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137542   -0.047881    0.126033    0.158721    0.287300
         0.332508    0.348923    0.505372


 k=(    0.222222    0.000000    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122066   -0.044770    0.078169    0.138070    0.274765
         0.389183    0.399843    0.428662


 k=(    0.333333    0.000000    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.102238   -0.050812    0.060050    0.119487    0.252167
         0.337332    0.468917    0.474512


 k=(    0.555556    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.078027   -0.076921    0.081525    0.108605    0.239376
         0.264761    0.538946    0.551814


 k=(    0.444444   -0.111111    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.083654   -0.071137    0.085204    0.104933    0.234622
         0.269288    0.542145    0.552111


 k=(    0.333333   -0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103176   -0.049029    0.084481    0.094637    0.265837
         0.279548    0.472036    0.536480


 k=(    0.222222   -0.111111    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.121713   -0.031210    0.070186    0.113513    0.289581
         0.348009    0.391597    0.479617


 k=(    0.111111   -0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.132741   -0.037394    0.090043    0.142095    0.310042
         0.329403    0.400512    0.442018


 k=(    0.000000   -0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137484   -0.047947    0.124854    0.160081    0.287758
         0.334057    0.346456    0.505242


 k=(    0.111111    0.111111    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137721   -0.047687    0.130819    0.153273    0.286092
         0.330435    0.353638    0.505948


 k=(    0.222222    0.111111    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133425   -0.036432    0.095654    0.135118    0.314147
         0.321138    0.407711    0.441415


 k=(    0.333333    0.111111    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122823   -0.028910    0.072916    0.108865    0.290748
         0.347887    0.386636    0.484138


 k=(    0.444444    0.111111    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104738   -0.046278    0.085066    0.092496    0.266960
         0.278889    0.467787    0.536241


 k=(    0.555556    0.222222    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107052   -0.042695    0.060562    0.115662    0.247544
         0.341783    0.467220    0.472194


 k=(    0.333333   -0.222222    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.088354   -0.060383    0.060765    0.093950    0.278268
         0.342490    0.448510    0.458960


 k=(    0.222222   -0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.091904   -0.056073    0.059239    0.086494    0.344377
         0.355053    0.375367    0.435590


 k=(    0.111111   -0.222222    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.107315   -0.047698    0.056086    0.117447    0.302226
         0.371874    0.424275    0.444832


 k=(    0.000000    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.121979   -0.044736    0.076959    0.139135    0.276217
         0.388634    0.397872    0.428420


 k=(    0.111111    0.222222    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133421   -0.036297    0.094261    0.136480    0.313927
         0.322542    0.406012    0.440425


 k=(    0.222222    0.222222    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138743   -0.021238    0.074406    0.147782    0.284948
         0.388476    0.391320    0.464263


 k=(    0.333333    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136038   -0.012105    0.063094    0.127878    0.315706
         0.353472    0.384419    0.458086


 k=(    0.444444    0.222222    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.124977   -0.022985    0.069612    0.108640    0.285851
         0.351652    0.388217    0.478241


 k=(    0.555556    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.127665   -0.032520    0.075530    0.133974    0.270084
         0.386128    0.396515    0.434703


 k=(    0.333333    0.666667    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113595   -0.035996    0.056870    0.110760    0.296391
         0.368081    0.431184    0.448418


 k=(    0.222222    0.666667    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.096368   -0.049438    0.061141    0.082137    0.345033
         0.351755    0.373914    0.439852


 k=(    0.111111    0.666667    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.081627   -0.068090    0.056848    0.098791    0.284281
         0.336688    0.447585    0.458948


 k=(    0.000000    0.333333    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.102161   -0.050684    0.058865    0.120326    0.253554
         0.336154    0.467831    0.474070


 k=(    0.111111    0.333333    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122850   -0.028595    0.071396    0.110074    0.291982
         0.346582    0.386821    0.482710


 k=(    0.222222    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136057   -0.012016    0.063025    0.127849    0.315824
         0.353099    0.384729    0.458335


 k=(    0.333333    0.333333    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.140732   -0.014064    0.068765    0.148641    0.285157
         0.382898    0.384336    0.470321


 k=(    0.444444    0.333333    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137383   -0.025882    0.088048    0.136808    0.307083
         0.323401    0.399276    0.446989


 k=(    0.444444    0.555556    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143076   -0.035588    0.123915    0.154167    0.283515
         0.328769    0.344978    0.500819


 k=(    0.333333    0.555556    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137574   -0.025717    0.090808    0.133623    0.307958
         0.320289    0.402974    0.447894


 k=(    0.222222    0.555556    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125311   -0.022376    0.071612    0.106123    0.284971
         0.353168    0.386495    0.481100


 k=(    0.111111    0.555556    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105272   -0.045260    0.084315    0.092618    0.266696
         0.279353    0.466564    0.535867


 k=(    0.000000    0.555556    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.079015   -0.075832    0.080572    0.109339    0.240692
         0.263594    0.537977    0.551643


 k=(    0.111111    0.444444    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104882   -0.045982    0.084457    0.092903    0.266427
         0.279501    0.467732    0.536050


 k=(    0.222222    0.444444    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125046   -0.023011    0.070935    0.107355    0.284719
         0.353143    0.387826    0.479689


 k=(    0.333333    0.444444    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137417   -0.025962    0.089343    0.135450    0.307031
         0.322323    0.401025    0.447993


 k=(    0.444444    0.444444    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143022   -0.035648    0.122529    0.155766    0.283979
         0.330132    0.342659    0.500792


 k=(    0.444444    0.444444    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155482   -0.015951    0.131313    0.150754    0.283935
         0.329549    0.351904    0.454747


 k=(    0.333333    0.444444    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.164850    0.000507    0.122807    0.165633    0.290111
         0.335840    0.341717    0.475896


 k=(    0.222222    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164404    0.018754    0.097591    0.145404    0.304961
         0.334646    0.384514    0.404998


 k=(    0.111111    0.444444    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153615    0.014372    0.094878    0.118377    0.273706
         0.310758    0.401687    0.467068


 k=(    0.000000    0.444444    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132801   -0.014818    0.089902    0.116409    0.245404
         0.279204    0.479400    0.482804


 k=(   -0.111111    0.444444    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104123   -0.047332    0.083869    0.094277    0.265900
         0.279764    0.469806    0.536325


 k=(   -0.222222    0.444444    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.089497   -0.058942    0.061512    0.092901    0.277050
         0.343717    0.449669    0.458003


 k=(    0.666667    0.444444    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113787   -0.035626    0.056952    0.110571    0.294912
         0.370626    0.432433    0.446986


 k=(    0.555556    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137671   -0.025296    0.089580    0.134560    0.309031
         0.320444    0.401257    0.445904


 k=(    0.444444    0.333333    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.164951    0.000802    0.124155    0.163638    0.289789
         0.335576    0.342975    0.475635


 k=(    0.333333    0.333333    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.179582    0.017807    0.165907    0.170487    0.266025
         0.329730    0.334899    0.490432


 k=(    0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183766    0.039799    0.149471    0.151304    0.287674
         0.330937    0.365165    0.405063


 k=(    0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176983    0.050066    0.123245    0.130742    0.258678
         0.324871    0.404989    0.417446


 k=(    0.000000    0.333333    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159429    0.022917    0.116371    0.122165    0.233416
         0.280483    0.469954    0.470158


 k=(   -0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132601   -0.016130    0.097414    0.110666    0.239415
         0.284322    0.481337    0.486170


 k=(   -0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.105055   -0.046916    0.064283    0.114386    0.246039
         0.343006    0.472896    0.474135


 k=(    0.666667    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.113329   -0.035688    0.048823    0.126934    0.260421
         0.422339    0.445514    0.459034


 k=(    0.555556    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141369   -0.012500    0.070255    0.145772    0.282428
         0.384464    0.387150    0.469782


 k=(    0.444444    0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164570    0.019626    0.097806    0.144139    0.306261
         0.333509    0.383915    0.404696


 k=(    0.333333    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183810    0.040177    0.147518    0.152776    0.288068
         0.332134    0.363632    0.403795


 k=(    0.222222    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192532    0.061607    0.130462    0.183016    0.301986
         0.332105    0.343643    0.429098


 k=(    0.111111    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190073    0.068924    0.120992    0.162594    0.293470
         0.343924    0.367187    0.389219


 k=(    0.000000    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176486    0.045515    0.121470    0.137040    0.261682
         0.321070    0.407027    0.419549


 k=(   -0.111111    0.222222    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152733    0.009743    0.095198    0.122961    0.272217
         0.310626    0.406883    0.466759


 k=(   -0.222222    0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123036   -0.028638    0.074013    0.108257    0.284186
         0.353769    0.390177    0.483142


 k=(    0.666667    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.111631   -0.040544    0.059815    0.110468    0.294668
         0.375061    0.428016    0.446924


 k=(    0.555556    0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137041   -0.008802    0.062994    0.125288    0.313002
         0.354427    0.384687    0.459023


 k=(    0.444444    0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153812    0.015432    0.094929    0.117229    0.274276
         0.310488    0.400381    0.467179


 k=(    0.333333    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177026    0.050642    0.121281    0.132024    0.259461
         0.324320    0.404641    0.416527


 k=(    0.222222    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190068    0.068787    0.121118    0.162666    0.293513
         0.343993    0.366978    0.389026


 k=(    0.111111    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.191978    0.055222    0.136973    0.181455    0.305089
         0.338913    0.343523    0.424937


 k=(    0.000000    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182665    0.032155    0.149014    0.158388    0.292803
         0.335777    0.366181    0.398178


 k=(   -0.111111    0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162754    0.010472    0.098138    0.152663    0.308125
         0.341772    0.378128    0.403204


 k=(   -0.222222    0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134545   -0.016513    0.062663    0.131805    0.319356
         0.352053    0.384295    0.457824


 k=(   -0.333333    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109944   -0.043102    0.056694    0.114549    0.301392
         0.367127    0.425672    0.447389


 k=(    0.555556    0.111111    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.124233   -0.024959    0.070463    0.108542    0.291153
         0.347272    0.385066    0.482017


 k=(    0.444444    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132965   -0.014382    0.090382    0.115686    0.244591
         0.279983    0.478360    0.482940


 k=(    0.333333    0.000000    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159404    0.022690    0.117422    0.121404    0.233558
         0.280234    0.469800    0.470152


 k=(    0.222222    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176418    0.044647    0.123361    0.136245    0.261056
         0.321239    0.407052    0.420725


 k=(    0.111111    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182610    0.031726    0.149868    0.158150    0.292445
         0.334116    0.368020    0.399425


 k=(    0.000000    0.000000    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.177750    0.008957    0.167097    0.176174    0.269886
         0.331545    0.341946    0.491401


 k=(   -0.111111    0.000000    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162301   -0.009187    0.125179    0.170928    0.293799
         0.338020    0.346960    0.472931


 k=(   -0.222222    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.137726   -0.023418    0.071915    0.152174    0.288605
         0.384458    0.389234    0.464870


 k=(   -0.333333    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.108847   -0.043667    0.046864    0.132617    0.266678
         0.415455    0.439246    0.463683


 k=(    0.555556    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104034   -0.047507    0.058307    0.119618    0.252321
         0.337270    0.465945    0.473525


 k=(    0.444444   -0.111111    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103972   -0.047632    0.084361    0.093985    0.266395
         0.279189    0.469866    0.536519


 k=(    0.333333   -0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132332   -0.016966    0.097097    0.111657    0.240317
         0.283278    0.481516    0.486903


 k=(    0.222222   -0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152484    0.008436    0.095665    0.123883    0.272035
         0.310346    0.408193    0.466670


 k=(    0.111111   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162561    0.009533    0.098203    0.153733    0.307034
         0.342610    0.378703    0.403558


 k=(    0.000000   -0.111111    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162189   -0.009510    0.124224    0.172510    0.294162
         0.338197    0.345781    0.473957


 k=(   -0.111111   -0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.151849   -0.026973    0.140837    0.148550    0.286217
         0.328884    0.362936    0.454746


 k=(   -0.222222   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.132962   -0.037459    0.095096    0.136630    0.310531
         0.324450    0.406905    0.445292


 k=(   -0.333333   -0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108134   -0.046778    0.058673    0.114446    0.301148
         0.370393    0.422637    0.447884


 k=(    0.555556   -0.111111    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.082929   -0.066712    0.057664    0.097959    0.282967
         0.337854    0.448280    0.458664


 k=(    0.444444   -0.222222    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.088211   -0.060585    0.060844    0.093949    0.278252
         0.342434    0.449431    0.458264


 k=(    0.333333   -0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103917   -0.048807    0.064024    0.115410    0.247237
         0.341784    0.472731    0.474889


 k=(    0.222222   -0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122255   -0.030513    0.073797    0.109719    0.285165
         0.352586    0.391276    0.482836


 k=(    0.111111   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134004   -0.018125    0.062790    0.132925    0.320897
         0.351522    0.384020    0.457428


 k=(    0.000000   -0.222222    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.137376   -0.024196    0.071301    0.153390    0.290079
         0.383199    0.388256    0.465513


 k=(   -0.111111   -0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.132792   -0.037703    0.093689    0.138351    0.309796
         0.326290    0.405024    0.445437


 k=(   -0.222222   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122384   -0.044764    0.082322    0.134090    0.271015
         0.391252    0.404170    0.430212


 k=(    0.333333    0.222222    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109215   -0.045236    0.060662    0.111933    0.297280
         0.374938    0.423524    0.448336


 k=(    0.444444    0.222222    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.095372   -0.051046    0.061088    0.082885    0.346829
         0.350095    0.374529    0.439189


 k=(    0.444444    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113338   -0.036328    0.055859    0.112042    0.296155
         0.369889    0.432030    0.446779


 k=(    0.333333    0.666667    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.112457   -0.037347    0.048486    0.128114    0.261691
         0.420661    0.444141    0.459851


 k=(    0.222222    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110368   -0.042923    0.059619    0.111877    0.295867
         0.375882    0.426291    0.446445


 k=(    0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108617   -0.045502    0.056624    0.115761    0.302691
         0.367833    0.424246    0.446615


 k=(    0.000000   -0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.107881   -0.045278    0.046554    0.133541    0.268084
         0.414076    0.437870    0.465601


 k=(   -0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.107678   -0.047360    0.057597    0.115704    0.302577
         0.369486    0.422728    0.446842


 k=(    0.222222    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109130   -0.045285    0.060069    0.112554    0.297227
         0.375788    0.424011    0.447206


 k=(    0.333333    0.333333    0.666667):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.111563   -0.039018    0.048216    0.129174    0.263061
         0.418884    0.442671    0.461199


 k=(    0.444444    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113022   -0.036855    0.055335    0.112781    0.297622
         0.368156    0.431098    0.447465


 k=(    0.444444    0.555556    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137512   -0.025540    0.088130    0.136391    0.307965
         0.322575    0.399376    0.445982


 k=(    0.333333    0.555556    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141052   -0.013269    0.069452    0.147273    0.283730
         0.383429    0.386044    0.469841


 k=(    0.222222    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136561   -0.010362    0.062928    0.126615    0.314354
         0.353707    0.384824    0.458788


 k=(    0.111111    0.555556    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123562   -0.026615    0.070162    0.109929    0.292178
         0.346252    0.386053    0.481650


 k=(    0.000000    0.555556    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103086   -0.049002    0.057991    0.120393    0.253632
         0.336114    0.466309    0.473632


 k=(   -0.111111    0.555556    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.081507   -0.068231    0.056874    0.098794    0.284274
         0.336671    0.447868    0.458749


 k=(    0.222222    0.444444    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.095513   -0.050793    0.060884    0.082952    0.345527
         0.351645    0.374349    0.439043


 k=(    0.333333    0.444444    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113158   -0.036672    0.055818    0.112148    0.297759
         0.367258    0.430714    0.448136


 k=(    0.555556    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.127554   -0.032535    0.074235    0.135196    0.271502
         0.385355    0.394716    0.434520


 k=(    0.444444    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149331   -0.000098    0.092318    0.129656    0.266258
         0.360353    0.396465    0.408128


 k=(    0.333333    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164425    0.019220    0.095901    0.146792    0.305700
         0.336231    0.383180    0.401240


 k=(    0.222222    0.444444    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169327    0.029034    0.085128    0.165235    0.302488
         0.366631    0.374275    0.419747


 k=(    0.111111    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163625    0.014356    0.100156    0.146135    0.310809
         0.335378    0.378667    0.406226


 k=(    0.000000    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147643   -0.006502    0.093201    0.133570    0.270721
         0.356061    0.397561    0.410622


 k=(   -0.111111    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122740   -0.028381    0.068244    0.113368    0.291198
         0.346379    0.389816    0.478330


 k=(   -0.222222    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.093849   -0.053255    0.059715    0.085050    0.343444
         0.355056    0.374631    0.437390


 k=(    0.666667    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.097007   -0.048459    0.061816    0.081091    0.347650
         0.348386    0.373757    0.440847


 k=(    0.555556    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125458   -0.021614    0.069519    0.107495    0.287621
         0.350091    0.385969    0.479561


 k=(    0.444444    0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164582    0.019879    0.096912    0.144852    0.306648
         0.334274    0.383229    0.402867


 k=(    0.333333    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183856    0.040588    0.146132    0.153627    0.288453
         0.333608    0.361828    0.402563


 k=(    0.222222    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192613    0.062318    0.131179    0.181034    0.301698
         0.333881    0.342656    0.428711


 k=(    0.111111    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190194    0.070657    0.120517    0.160965    0.293889
         0.343432    0.366523    0.389503


 k=(    0.000000    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176654    0.047322    0.119374    0.137158    0.261892
         0.321386    0.406271    0.418002


 k=(   -0.111111    0.333333    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152957    0.010922    0.094821    0.122114    0.272560
         0.310630    0.405595    0.466750


 k=(   -0.222222    0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123307   -0.028046    0.074753    0.107029    0.284409
         0.353767    0.388919    0.484507


 k=(    0.666667    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.111723   -0.040474    0.060416    0.109820    0.294724
         0.374163    0.427506    0.448174


 k=(    0.555556    0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137030   -0.008858    0.063038    0.125304    0.312943
         0.354645    0.384489    0.458887


 k=(    0.444444    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169595    0.030746    0.084953    0.163546    0.301264
         0.368055    0.373721    0.420253


 k=(    0.333333    0.222222    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192694    0.062980    0.132135    0.178847    0.301494
         0.336198    0.341077    0.428437


 k=(    0.222222    0.222222    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205529    0.086836    0.177483    0.182215    0.279291
         0.328343    0.332816    0.439242


 k=(    0.111111    0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207071    0.108449    0.160962    0.168531    0.285538
         0.332787    0.359666    0.385846


 k=(    0.000000    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197181    0.094943    0.142653    0.149763    0.254398
         0.336417    0.397538    0.398500


 k=(   -0.111111    0.222222    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176488    0.044941    0.129202    0.130527    0.257974
         0.323686    0.407449    0.422039


 k=(   -0.222222    0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147671   -0.007570    0.101852    0.126668    0.263211
         0.362356    0.397927    0.416804


 k=(   -0.333333    0.222222    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124855   -0.039689    0.081820    0.131967    0.268463
         0.390166    0.403671    0.432959


 k=(    0.555556    0.222222    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.140221   -0.016853    0.073739    0.145276    0.282296
         0.387112    0.391920    0.466582


 k=(    0.444444    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163982    0.016155    0.100173    0.144413    0.310405
         0.333678    0.379813    0.406580


 k=(    0.333333    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190309    0.072238    0.120373    0.159193    0.294421
         0.342921    0.365710    0.389645


 k=(    0.222222    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207094    0.109057    0.162010    0.166684    0.285830
         0.333557    0.358536    0.385160


 k=(    0.111111    0.111111    0.222222):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212710    0.122256    0.157505    0.196209    0.313153
         0.317431    0.323205    0.399542


 k=(    0.000000    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.206799    0.101400    0.166027    0.171053    0.287515
         0.334852    0.359318    0.384701


 k=(   -0.111111    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189710    0.064515    0.121158    0.168057    0.292118
         0.344214    0.370064    0.389123


 k=(   -0.222222    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163103    0.011870    0.099103    0.150721    0.304090
         0.338740    0.382853    0.408405


 k=(   -0.333333    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134685   -0.033184    0.092478    0.136913    0.307543
         0.324957    0.404303    0.448017


 k=(    0.555556    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135397   -0.031501    0.093252    0.134534    0.312765
         0.320153    0.405281    0.442104


 k=(    0.444444    0.000000    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148064   -0.004955    0.092865    0.132827    0.269478
         0.357194    0.396822    0.410468


 k=(    0.333333    0.000000    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176753    0.048219    0.119243    0.136439    0.261485
         0.321895    0.405463    0.417702


 k=(    0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197174    0.094571    0.143963    0.148917    0.254473
         0.336194    0.397604    0.398250


 k=(    0.111111    0.000000    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.206770    0.100643    0.165587    0.172590    0.287277
         0.333953    0.360335    0.385132


 k=(    0.000000    0.000000    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.204914    0.078153    0.179653    0.189045    0.283835
         0.328715    0.337145    0.435462


 k=(   -0.111111    0.000000    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.191726    0.053407    0.134115    0.187916    0.305447
         0.332619    0.347967    0.425700


 k=(   -0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168231    0.022607    0.085652    0.171769    0.307161
         0.361524    0.376800    0.417698


 k=(   -0.333333    0.000000    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138570   -0.020581    0.069747    0.152537    0.288680
         0.381483    0.387058    0.467677


 k=(    0.555556    0.000000    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124307   -0.039741    0.074986    0.138530    0.274950
         0.386274    0.396096    0.431014


 k=(    0.444444   -0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123144   -0.027363    0.067921    0.113174    0.289884
         0.347396    0.390154    0.477348


 k=(    0.333333   -0.111111    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152933    0.010747    0.095029    0.122117    0.272725
         0.310363    0.405643    0.466560


 k=(    0.222222   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176364    0.043760    0.129165    0.131821    0.258535
         0.322799    0.407889    0.422635


 k=(    0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189582    0.062884    0.121698    0.169577    0.291819
         0.344213    0.370938    0.388998


 k=(    0.000000   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.191640    0.052719    0.133586    0.189699    0.305787
         0.330910    0.348913    0.426112


 k=(   -0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182458    0.030617    0.151628    0.157952    0.291330
         0.330467    0.372264    0.403329


 k=(   -0.222222   -0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162665    0.009442    0.101235    0.150393    0.306757
         0.338293    0.380715    0.410514


 k=(   -0.333333   -0.111111    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134513   -0.016648    0.062761    0.131855    0.319118
         0.352693    0.383829    0.457375


 k=(   -0.444444   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109414   -0.043699    0.054764    0.116928    0.300840
         0.370485    0.427594    0.444885


 k=(    0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.093691   -0.053522    0.059897    0.085001    0.343972
         0.354237    0.374861    0.437528


 k=(    0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122803   -0.029350    0.075281    0.107287    0.285625
         0.352555    0.388802    0.485458


 k=(    0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147201   -0.009254    0.102035    0.127758    0.264368
         0.361024    0.398369    0.417446


 k=(    0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162719    0.010000    0.099386    0.152230    0.304694
         0.340138    0.381704    0.408090


 k=(    0.000000   -0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.167947    0.020970    0.085989    0.173160    0.308631
         0.359968    0.377677    0.417098


 k=(   -0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162500    0.008813    0.100425    0.152049    0.306066
         0.339885    0.380658    0.409148


 k=(   -0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.146733   -0.010895    0.102319    0.128656    0.265613
         0.359678    0.399000    0.417877


 k=(   -0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122027   -0.031193    0.075049    0.108711    0.286687
         0.351327    0.389912    0.485138


 k=(   -0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.092698   -0.054981    0.059710    0.085707    0.344681
         0.353902    0.375314    0.436654


 k=(    0.444444    0.666667    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.096154   -0.049833    0.061484    0.082015    0.347327
         0.349081    0.374182    0.440094


 k=(    0.333333    0.666667    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110546   -0.042803    0.060811    0.110610    0.295976
         0.374132    0.425295    0.448831


 k=(   -0.222222    0.333333   -0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.123647   -0.042212    0.082033    0.133104    0.269687
         0.390585    0.404048    0.431621


 k=(    0.111111   -0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133670   -0.035564    0.092394    0.138511    0.308256
         0.326557    0.403716    0.446822


 k=(    0.000000   -0.333333    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.137807   -0.022786    0.070234    0.153575    0.290115
         0.381672    0.387178    0.467041


 k=(   -0.111111   -0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.133992   -0.018175    0.062825    0.132945    0.320796
         0.351771    0.383850    0.457252


 k=(   -0.222222   -0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.121749   -0.031765    0.074306    0.109915    0.286449
         0.351354    0.391128    0.483884


 k=(   -0.333333   -0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.102749   -0.050689    0.063801    0.116316    0.248521
         0.340525    0.473600    0.474620


 k=(   -0.444444   -0.333333    0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.086949   -0.062136    0.060175    0.094898    0.279537
         0.341130    0.448794    0.458805


 k=(    0.444444    0.555556    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125192   -0.022256    0.068889    0.108697    0.287329
         0.350096    0.387285    0.478225


 k=(    0.333333    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136531   -0.010509    0.063043    0.126660    0.314183
         0.354295    0.384312    0.458408


 k=(    0.222222    0.555556    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139491   -0.019043    0.074033    0.146600    0.283559
         0.387542    0.391893    0.465323


 k=(    0.111111    0.555556    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134423   -0.033823    0.093037    0.136236    0.313037
         0.322211    0.404763    0.440840


 k=(    0.000000    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.123130   -0.042198    0.075377    0.139368    0.276308
         0.387098    0.395991    0.429706


 k=(    0.111111    0.444444   -0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108223   -0.045920    0.055171    0.117516    0.302276
         0.370282    0.425732    0.444839


 k=(    0.222222    0.444444   -0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.091795   -0.056246    0.059340    0.086471    0.344723
         0.354522    0.375519    0.435667


 k=(    0.333333    0.444444   -0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.087050   -0.061998    0.060128    0.094898    0.279547
         0.341164    0.448265    0.459195


 k=(    0.555556    0.555556    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.106823   -0.042891    0.059476    0.116635    0.248905
         0.340484    0.466029    0.472013


 k=(    0.444444    0.444444    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133564   -0.012641    0.091960    0.112812    0.242256
         0.282497    0.478720    0.479970


 k=(    0.333333    0.444444    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153577    0.014070    0.095283    0.118329    0.273991
         0.310311    0.401756    0.466780


 k=(    0.222222    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163574    0.013735    0.102024    0.144835    0.309977
         0.333925    0.379910    0.409701


 k=(    0.111111    0.444444    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163171   -0.006316    0.128818    0.163813    0.292006
         0.337075    0.349520    0.472927


 k=(    0.000000    0.444444    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152831   -0.023929    0.131942    0.155378    0.287453
         0.333407    0.353828    0.450265


 k=(   -0.111111    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133918   -0.034538    0.088864    0.141501    0.309977
         0.328305    0.399464    0.441237


 k=(   -0.222222    0.444444    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108940   -0.044859    0.056131    0.116233    0.299286
         0.373816    0.426857    0.444313


 k=(    0.666667    0.444444    0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.084542   -0.064884    0.058303    0.097133    0.281643
         0.339169    0.447859    0.459083


 k=(    0.555556    0.444444    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105436   -0.045005    0.085351    0.091472    0.267924
         0.278130    0.465480    0.535947


 k=(    0.444444    0.333333    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153798    0.015316    0.095091    0.117203    0.274387
         0.310318    0.400405    0.467073


 k=(    0.333333    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177074    0.051331    0.119417    0.133065    0.260244
         0.323793    0.404605    0.415326


 k=(    0.222222    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190186    0.070424    0.120737    0.161072    0.293962
         0.343551    0.366174    0.389199


 k=(    0.111111    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192172    0.057118    0.136486    0.179835    0.304067
         0.338899    0.343047    0.425454


 k=(    0.000000    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182949    0.034149    0.146899    0.158606    0.292071
         0.336474    0.364090    0.398075


 k=(   -0.111111    0.333333    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163147    0.012568    0.097021    0.151868    0.307780
         0.341168    0.378641    0.401704


 k=(   -0.222222    0.333333    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135063   -0.014933    0.062531    0.130730    0.317629
         0.352994    0.384274    0.458061


 k=(   -0.333333    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110381   -0.042505    0.057731    0.113294    0.299912
         0.368050    0.425790    0.448239


 k=(    0.555556    0.333333    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.124228   -0.025228    0.071978    0.107307    0.289863
         0.348752    0.384776    0.483438


 k=(    0.444444    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163959    0.015843    0.101139    0.143728    0.309983
         0.332966    0.380449    0.408316


 k=(    0.333333    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190306    0.072146    0.120463    0.159231    0.294450
         0.342969    0.365574    0.389533


 k=(    0.222222    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207118    0.109795    0.162996    0.164744    0.286094
         0.334487    0.357312    0.384506


 k=(    0.111111    0.222222    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212764    0.124270    0.156920    0.194152    0.312461
         0.319234    0.322103    0.399398


 k=(    0.000000    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.206885    0.103614    0.164030    0.170456    0.287360
         0.335435    0.358123    0.384278


 k=(   -0.111111    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189833    0.066121    0.120593    0.166663    0.292449
         0.344104    0.369125    0.389160


 k=(   -0.222222    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163266    0.012526    0.099881    0.149070    0.304741
         0.337124    0.382970    0.409813


 k=(   -0.333333    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134849   -0.032940    0.093899    0.135171    0.308206
         0.323162    0.406252    0.447877


 k=(    0.555556    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135408   -0.031629    0.094699    0.133114    0.313167
         0.318556    0.407118    0.442985


 k=(    0.444444    0.111111    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163705   -0.004326    0.128702    0.162305    0.291140
         0.336095    0.349239    0.473650


 k=(    0.333333    0.111111    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192365    0.059019    0.136185    0.177978    0.303203
         0.339772    0.341600    0.426019


 k=(    0.222222    0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212817    0.126236    0.156699    0.191760    0.312518
         0.320343    0.321000    0.399208


 k=(    0.111111    0.111111    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222358    0.163431    0.191532    0.196708    0.294055
         0.312098    0.315683    0.365838


 k=(    0.000000    0.111111    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220320    0.164096    0.177221    0.187688    0.283287
         0.332306    0.336070    0.357487


 k=(   -0.111111    0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.206816    0.102023    0.160423    0.176884    0.285555
         0.331390    0.363132    0.387115


 k=(   -0.222222    0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182934    0.033825    0.149335    0.157421    0.289167
         0.329219    0.371357    0.405606


 k=(   -0.333333    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153268   -0.022924    0.140521    0.146347    0.284161
         0.326896    0.362223    0.457136


 k=(    0.555556    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140095   -0.042636    0.130565    0.150890    0.284185
         0.328172    0.353275    0.503965


 k=(    0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153515   -0.021934    0.131408    0.154699    0.286471
         0.331877    0.353921    0.451458


 k=(    0.333333    0.000000    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183176    0.035720    0.146013    0.158171    0.291069
         0.335406    0.363911    0.399188


 k=(    0.222222    0.000000    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.206942    0.105048    0.162748    0.170234    0.287019
         0.335055    0.357997    0.384285


 k=(    0.111111    0.000000    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220319    0.163009    0.179237    0.186865    0.283246
         0.332927    0.335332    0.357428


 k=(    0.000000    0.000000    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222226    0.152543    0.195331    0.205857    0.299716
         0.308918    0.314975    0.363271


 k=(   -0.111111    0.000000    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212548    0.117540    0.157235    0.203438    0.310327
         0.317786    0.325473    0.399895


 k=(   -0.222222    0.000000    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.191951    0.055847    0.131645    0.188608    0.304088
         0.329834    0.348119    0.427406


 k=(   -0.333333    0.000000    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163177   -0.005812    0.122280    0.171938    0.292663
         0.335262    0.345198    0.474909


 k=(   -0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139812   -0.042948    0.122807    0.159759    0.286310
         0.331943    0.344943    0.503380


 k=(    0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134733   -0.032457    0.087634    0.141626    0.308622
         0.328397    0.398095    0.442585


 k=(    0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163347    0.013714    0.096020    0.152091    0.306439
         0.341418    0.379734    0.400428


 k=(    0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189828    0.065996    0.120702    0.166742    0.292487
         0.344157    0.368939    0.388961


 k=(    0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.206753    0.100438    0.161712    0.177400    0.285946
         0.331618    0.363165    0.386854


 k=(    0.000000   -0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212492    0.115803    0.157841    0.205282    0.310368
         0.316822    0.326415    0.399917


 k=(   -0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.206691    0.098947    0.163077    0.177697    0.286358
         0.331923    0.363172    0.386626


 k=(   -0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189702    0.064326    0.121318    0.168189    0.292176
         0.344293    0.369779    0.388799


 k=(   -0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163161    0.012746    0.096149    0.153118    0.305378
         0.342305    0.380299    0.400712


 k=(   -0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134581   -0.032830    0.087613    0.141997    0.307923
         0.329031    0.397965    0.443626


 k=(   -0.444444    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109761   -0.043170    0.055226    0.116297    0.299323
         0.372277    0.428303    0.444438


 k=(   -0.333333    0.222222   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135043   -0.015020    0.062595    0.130761    0.317497
         0.353381    0.383973    0.457792


 k=(   -0.222222    0.222222   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163046    0.011284    0.100976    0.148922    0.306032
         0.336930    0.381878    0.410866


 k=(   -0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182696    0.032203    0.150233    0.157980    0.290207
         0.329770    0.371897    0.404467


 k=(    0.000000    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.191752    0.053915    0.132376    0.190060    0.305075
         0.329498    0.349019    0.426992


 k=(    0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189578    0.062817    0.121753    0.169628    0.291839
         0.344241    0.370836    0.388875


 k=(    0.222222    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176244    0.042660    0.129639    0.132485    0.259103
         0.321969    0.408517    0.423062


 k=(   -0.333333   -0.222222    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152694    0.009469    0.095513    0.122977    0.272475
         0.310206    0.406963    0.466447


 k=(   -0.444444   -0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122866   -0.028221    0.068696    0.113165    0.288387
         0.348836    0.391165    0.477394


 k=(    0.555556    0.333333   -0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.084409   -0.065053    0.058349    0.097136    0.281632
         0.339138    0.448360    0.458721


 k=(   -0.333333    0.333333   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109509   -0.044326    0.058738    0.113248    0.299783
         0.369659    0.424260    0.448525


 k=(   -0.222222    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134003   -0.035076    0.095222    0.135047    0.309640
         0.322935    0.407547    0.446535


 k=(   -0.111111    0.333333   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152565   -0.024952    0.140336    0.147830    0.285148
         0.327767    0.362707    0.455966


 k=(    0.000000    0.333333   -0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162631   -0.007831    0.122788    0.173032    0.293564
         0.336465    0.345254    0.474948


 k=(    0.111111    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162768    0.010663    0.097216    0.153964    0.305631
         0.342892    0.379769    0.402349


 k=(    0.222222    0.333333   -0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152470    0.008336    0.095777    0.123893    0.272129
         0.310191    0.408223    0.466550


 k=(    0.333333    0.333333   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132079   -0.017727    0.096814    0.112514    0.241252
         0.282250    0.482072    0.487285


 k=(    0.444444    0.333333   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103481   -0.048518    0.084764    0.094094    0.266417
         0.279019    0.471012    0.536660


 k=(    0.444444    0.555556    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105045   -0.045731    0.085356    0.091901    0.267614
         0.278308    0.466647    0.536169


 k=(    0.333333    0.555556    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123531   -0.027200    0.073198    0.107487    0.289655
         0.349033    0.385581    0.484499


 k=(    0.222222    0.555556    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134440   -0.034085    0.095873    0.133458    0.313562
         0.319307    0.408304    0.442706


 k=(    0.111111    0.555556    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.138934   -0.045142    0.130565    0.152245    0.285095
         0.329131    0.353635    0.504941


 k=(    0.000000    0.444444   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.138646   -0.045461    0.123246    0.160619    0.287232
         0.333809    0.344429    0.504269


 k=(    0.111111    0.444444   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133601   -0.035289    0.088801    0.142260    0.308538
         0.329600    0.399143    0.443422


 k=(    0.222222    0.444444   -0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122157   -0.030126    0.069798    0.113353    0.288239
         0.349125    0.391881    0.478544


 k=(    0.333333    0.444444   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103081   -0.049212    0.084768    0.094468    0.266129
         0.279209    0.472075    0.536597


 k=(    0.444444    0.444444   -0.111111):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.082125   -0.072799    0.084449    0.105792    0.235911
         0.268027    0.541135    0.552206


 k=(    0.444444    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.108397   -0.046490    0.104455    0.106524    0.228607
         0.243450    0.545143    0.545304


 k=(    0.333333    0.444444    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132552   -0.015944    0.092733    0.114866    0.243284
         0.280809    0.479277    0.485383


 k=(    0.222222    0.444444    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147440   -0.007758    0.096487    0.131723    0.267951
         0.358449    0.396861    0.414084


 k=(    0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152716   -0.024373    0.134400    0.153351    0.286486
         0.330259    0.358323    0.452445


 k=(    0.000000    0.444444    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.149217   -0.039994    0.159023    0.170045    0.261586
         0.324496    0.337568    0.490301


 k=(   -0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.138760   -0.045332    0.125551    0.157954    0.286298
         0.330721    0.349379    0.504440


 k=(    0.222222    0.555556    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.123310   -0.042257    0.077776    0.137261    0.273357
         0.388268    0.399992    0.430078


 k=(    0.333333    0.555556    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103288   -0.049169    0.060305    0.118730    0.250816
         0.338552    0.468321    0.474583


 k=(    0.555556    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.079255   -0.075732    0.082390    0.107887    0.238024
         0.265986    0.540004    0.551895


 k=(    0.444444    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132852   -0.014909    0.091754    0.114923    0.243491
         0.280842    0.478322    0.484199


 k=(    0.333333    0.333333    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159389    0.022554    0.118337    0.120663    0.233643
         0.280084    0.469768    0.470087


 k=(    0.222222    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176523    0.045583    0.123087    0.135621    0.260578
         0.321848    0.406206    0.420469


 k=(    0.111111    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182841    0.033280    0.148570    0.158165    0.291346
         0.333107    0.367871    0.400544


 k=(    0.000000    0.333333    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178126    0.010714    0.165495    0.176553    0.269007
         0.329498    0.342186    0.490895


 k=(   -0.111111    0.333333    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162853   -0.007181    0.124659    0.169903    0.292815
         0.336191    0.347553    0.472913


 k=(   -0.222222    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138495   -0.021211    0.071425    0.151163    0.287113
         0.383900    0.389484    0.465622


 k=(   -0.333333    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.109795   -0.042024    0.047118    0.131709    0.265228
         0.417063    0.440726    0.461716


 k=(    0.555556    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104156   -0.047547    0.059435    0.118795    0.250893
         0.338530    0.466894    0.474011


 k=(    0.444444    0.222222    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147968   -0.005582    0.094496    0.131917    0.268072
         0.358497    0.396345    0.412235


 k=(    0.333333    0.222222    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176690    0.047350    0.121076    0.135683    0.260797
         0.322190    0.405370    0.418995


 k=(    0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197170    0.094352    0.145043    0.148111    0.254519
         0.336061    0.397758    0.397984


 k=(    0.111111    0.222222    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.206829    0.102040    0.163988    0.172714    0.286891
         0.333554    0.360275    0.385210


 k=(    0.000000    0.222222    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205038    0.079853    0.177813    0.189241    0.282789
         0.327253    0.337695    0.436212


 k=(   -0.111111    0.222222    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.191925    0.055324    0.133376    0.186532    0.304361
         0.332741    0.347350    0.426122


 k=(   -0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168513    0.024301    0.085251    0.170405    0.305615
         0.363199    0.375921    0.418302


 k=(   -0.333333    0.222222    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138909   -0.019784    0.070323    0.151340    0.287152
         0.382482    0.388355    0.466909


 k=(    0.555556    0.222222    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124399   -0.039765    0.076174    0.137486    0.273451
         0.386886    0.398129    0.431150


 k=(    0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153460   -0.022156    0.132604    0.153718    0.285981
         0.330286    0.356207    0.452525


 k=(    0.333333    0.111111    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183123    0.035279    0.146873    0.157925    0.290704
         0.333700    0.365853    0.400409


 k=(    0.222222    0.111111    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.206914    0.104229    0.162952    0.171153    0.286788
         0.334070    0.359133    0.384787


 k=(    0.111111    0.111111    0.000000):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220318    0.162448    0.180561    0.186167    0.283222
         0.333699    0.334489    0.357392


 k=(    0.000000    0.111111    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222253    0.154574    0.193076    0.205770    0.298313
         0.308550    0.316312    0.363781


 k=(   -0.111111    0.111111    0.000000):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212603    0.119428    0.156426    0.201691    0.309972
         0.319236    0.324336    0.399853


 k=(   -0.222222    0.111111    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192036    0.056570    0.132114    0.186863    0.303715
         0.331387    0.347376    0.426946


 k=(   -0.333333    0.111111    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163286   -0.005486    0.123198    0.170390    0.292277
         0.335076    0.346406    0.473898


 k=(   -0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139868   -0.042884    0.123936    0.158450    0.285834
         0.330416    0.347413    0.503430


 k=(   -0.444444    0.000000    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.150173   -0.037721    0.158067    0.169878    0.260831
         0.323273    0.336948    0.489426


 k=(   -0.333333    0.000000    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178497    0.012483    0.164438    0.176305    0.268186
         0.328299    0.341596    0.490894


 k=(   -0.222222    0.000000    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205162    0.081581    0.176511    0.188812    0.281817
         0.326475    0.337550    0.436959


 k=(   -0.111111    0.000000    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222279    0.156721    0.191278    0.205061    0.297033
         0.308766    0.316992    0.364281


 k=(    0.000000    0.000000    0.000000):       259 3-d basis functions
 the   8 eigenvalues are:
        -0.228108    0.198825    0.204401    0.216475    0.294276
         0.301052    0.304563    0.321618


 fermi energy and band-weighting factors:

FERMIE:
          first approx. to ef    (T=0)  :  0.216475 htr   (energy of the highest occ. eigenvalue)
          number of occ. states  (T=0)  :      1460
          first approx. to seigv (T=0)  :  0.179434 htr
          sum of weights of occ. states :  4.000000
          sum of semicore eigenvalues   :  0.000000 htr
          sum of semicore charge        :  0.000000 e



FERHIS:  Fermi-Energy by histogram:

          bandgap                     :   0.011425 htr
          charge neutrality (T=0)     :   0.000000    (zero if the highest occ. eigenvalue is "entirely" occupied)

     EF_NEWTON:  Adjust Fermi-Energy by Newton-Method.

               Number of iterations needed  :   4
               The error in the weight is   :  0.15717E-13
               The error in ef is           : -0.84455E-12 htr


     -->  new fermi energy            :   0.221457 htr
          valence charge              :   8.000000 e 
          actual charge blw ef-8kt    :   7.997257 e 
          actual charge blw ef+8kt    :   8.000000 e 
          number of occ. states       :      1463
          sum of the valence weights  :   4.000000
          entropy         :   0.000256 *kb htr/K =   0.00000 htr/K

          sum of val. single particle energies:         0.1794340775 htr



          valence density: spin= 1

     l-like charge
     atom     s        p        d        f        total
 --> 1    0.88980  1.16986  0.08205  0.00602    2.14933
 --> 2    0.88980  1.16986  0.08205  0.00602    2.14933
 Energy Parameters for spin:           1
 Max. mismatch of energy parameters:    0.000000

     energy parameters for window 1
     atom     s        p        d        f
 -->  1   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0
 -->  2   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0

          total charge for spin  1=    8.000000
          interst. charge =       3.701339
          mt charge=              2.149330    2.149330

          total charge  =    8.000000


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.1996        2.
               2.   0.   0.5   -4.7068        2.
               2.   1.   0.5   -3.1071        2.
               2.   1.   1.5   -3.0833        4.
          atom type  1  (spin 1) 
          kinetic energy=  0.285361919548E+03     sum of the eigenvalues= -0.158360403452E+03
          0.00179678  electrons lost from core.


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.1996        2.
               2.   0.   0.5   -4.7068        2.
               2.   1.   0.5   -3.1071        2.
               2.   1.   1.5   -3.0833        4.
          atom type  2  (spin 1) 
          kinetic energy=  0.285361919564E+03     sum of the eigenvalues= -0.158360403524E+03
          0.00179678  electrons lost from core.

          alpha=   1.39321     acoff=   0.09676

          alpha=   1.39321     acoff=   0.09676

          total charge for spin  1=   28.000000
          interst. charge =       3.704832
          mt charge=             12.147584   12.147584

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.704832
          mt charge=             12.147584   12.147584

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*



     t o t a l  e n e r g y

          sum of eigenvalues =              -316.5413728990

          density-coulomb potential int     -844.3834659685

          density-effective potential i     -898.2972279345

          charge density-ex.-corr.energ      -41.7470564692
 
 FORCES: EQUATION A3 FOR ATOM TYPE   1
 FX_A3= -0.014785  0.000000 FY_A3= -0.009805  0.000000 FZ_A3= -0.004792  0.000000
 FORCES: EQUATION A3 FOR ATOM TYPE   2
 FX_A3=  0.014785  0.000000 FY_A3=  0.009805  0.000000 FZ_A3=  0.004791  0.000000

          el.-nucl. inter. diff. m.t.        342.3535958165

          Madelung term for atom type:        -6.5907058602

          el.-nucl. inter. diff. m.t.        342.3535957252

          Madelung term for atom type:        -6.5907058968


 ----> total energy=                        -580.0715377166 htr

 ***** TOTAL FORCES ON ATOMS ***** 

 TOTAL FORCE FOR ATOM TYPE=  1  X=  1.292   Y=  1.292   Z=  1.292
                       FX_TOT=-0.014785 FY_TOT=-0.009805 FZ_TOT=-0.004792
 TOTAL FORCE FOR ATOM TYPE=  2  X= -1.369   Y= -1.344   Z= -1.318
                       FX_TOT= 0.014785 FY_TOT= 0.009805 FZ_TOT= 0.004791
eps_force= 0.00001max= 0.00088


 ---->(tkb*entropy) TS=                        0.0000002564 htr


 ----> free energy=                         -580.0715379731 htr


      extrapolation for T->0
 ----> total electron energy=               -580.0715378449 htr
 wrtdop title:alpha Si                                                                ordered*
 wrtdop title:alpha Si                                                                ordered*
     <vi|w|Fm> for it 2      -0.832596
     <vi|w|Fm> for it 3       3.016088

----> distance of charge densities for spin  1        it=  4:   0.494250 me/bohr**3

          total charge for spin  1=   28.000000
          interst. charge =       3.693403
          mt charge=             12.153298   12.153298

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.693403
          mt charge=             12.153298   12.153298

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*

     ******* it=  4  is completed********



             it=        5

          total charge for spin  1=   28.000000
          interst. charge =       3.693403
          mt charge=             12.153298   12.153298

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.693403
          mt charge=             12.153298   12.153298

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*


          p o t e n t i a l   g e n e r a t o r


          multipole moments for atom type=    1

  l   m                   original                      plane wave
  0   0          -0.52094E+00    0.00000E+00         0.77999E+00   -0.14275E-14
  1   0           0.16592E-02    0.00000E+00         0.14052E-02   -0.61336E-15
  1   1          -0.49047E-02    0.31329E-02        -0.40428E-02    0.25896E-02
  1  -1           0.49047E-02    0.31329E-02         0.40428E-02    0.25896E-02
  1   1          -0.49047E-02    0.31329E-02        -0.40428E-02    0.25896E-02
  1  -1           0.49047E-02    0.31329E-02         0.40428E-02    0.25896E-02
  2   0           0.53016E-03    0.00000E+00         0.50686E-03    0.27919E-16
  2   1           0.12479E-01   -0.18893E-01         0.11880E-01   -0.17959E-01
  2  -1          -0.12479E-01   -0.18893E-01        -0.11880E-01   -0.17959E-01
  2   2          -0.29473E-03    0.59309E-02        -0.28185E-03    0.56977E-02
  2  -2          -0.29473E-03   -0.59309E-02        -0.28185E-03   -0.56977E-02
  2   1           0.12479E-01   -0.18893E-01         0.11880E-01   -0.17959E-01
  2  -1          -0.12479E-01   -0.18893E-01        -0.11880E-01   -0.17959E-01
  2   2          -0.29473E-03    0.59309E-02        -0.28185E-03    0.56977E-02
  2  -2          -0.29473E-03   -0.59309E-02        -0.28185E-03   -0.56977E-02
  3   0          -0.86165E-02    0.00000E+00        -0.83655E-02   -0.10610E-14
  3   1          -0.10888E-01    0.73052E-02        -0.10504E-01    0.70538E-02
  3  -1           0.10888E-01    0.73052E-02         0.10504E-01    0.70538E-02
  3   2          -0.56184E-05    0.47206E+00        -0.48122E-05    0.46486E+00
  3  -2          -0.56184E-05   -0.47206E+00        -0.48122E-05   -0.46486E+00
  3   3           0.14038E-01    0.93997E-02         0.13546E-01    0.90796E-02
  3  -3          -0.14038E-01    0.93997E-02        -0.13546E-01    0.90796E-02
  3   1          -0.10888E-01    0.73052E-02        -0.10504E-01    0.70538E-02
  3  -1           0.10888E-01    0.73052E-02         0.10504E-01    0.70538E-02
  3   2          -0.56184E-05    0.47206E+00        -0.48122E-05    0.46486E+00
  3  -2          -0.56184E-05   -0.47206E+00        -0.48122E-05   -0.46486E+00
  3   3           0.14038E-01    0.93997E-02         0.13546E-01    0.90796E-02
  3  -3          -0.14038E-01    0.93997E-02        -0.13546E-01    0.90796E-02
  4   0          -0.27605E+00    0.00000E+00        -0.27201E+00    0.68735E-15
  4   1           0.31003E-03   -0.32197E-03         0.37489E-03   -0.42742E-03
  4  -1          -0.31003E-03   -0.32197E-03        -0.37489E-03   -0.42742E-03
  4   2          -0.31969E-03   -0.10524E-02        -0.31055E-03   -0.11105E-02
  4  -2          -0.31969E-03    0.10524E-02        -0.31055E-03    0.11105E-02
  4   3           0.73937E-03    0.80580E-03         0.91549E-03    0.10874E-02
  4  -3          -0.73937E-03    0.80580E-03        -0.91549E-03    0.10874E-02
  4   4          -0.16444E+00   -0.86985E-05        -0.16204E+00   -0.81953E-05
  4  -4          -0.16444E+00    0.86985E-05        -0.16204E+00    0.81953E-05
  4   1           0.31003E-03   -0.32197E-03         0.37489E-03   -0.42742E-03
  4  -1          -0.31003E-03   -0.32197E-03        -0.37489E-03   -0.42742E-03
  4   2          -0.31969E-03   -0.10524E-02        -0.31055E-03   -0.11105E-02
  4  -2          -0.31969E-03    0.10524E-02        -0.31055E-03    0.11105E-02
  4   3           0.73937E-03    0.80580E-03         0.91549E-03    0.10874E-02
  4  -3          -0.73937E-03    0.80580E-03        -0.91549E-03    0.10874E-02
  4   4          -0.16444E+00   -0.86985E-05        -0.16204E+00   -0.81953E-05
  4  -4          -0.16444E+00    0.86985E-05        -0.16204E+00    0.81953E-05
  5   0           0.54092E-02    0.00000E+00         0.53504E-02   -0.63536E-15
  5   1           0.45533E-02   -0.28296E-02         0.43975E-02   -0.27286E-02
  5  -1          -0.45533E-02   -0.28296E-02        -0.43975E-02   -0.27286E-02
  5   2           0.79888E-05    0.63211E-03         0.78573E-05    0.61850E-03
  5  -2           0.79888E-05   -0.63211E-03         0.78573E-05   -0.61850E-03
  5   3           0.18242E-01    0.12072E-01         0.17915E-01    0.11854E-01
  5  -3          -0.18242E-01    0.12072E-01        -0.17915E-01    0.11854E-01
  5   4          -0.48014E-02   -0.49669E-03        -0.46892E-02   -0.48590E-03
  5  -4          -0.48014E-02    0.49669E-03        -0.46892E-02    0.48590E-03
  5   5          -0.37408E-02    0.26302E-02        -0.37454E-02    0.26308E-02
  5  -5           0.37408E-02    0.26302E-02         0.37454E-02    0.26308E-02
  5   1           0.45533E-02   -0.28296E-02         0.43975E-02   -0.27286E-02
  5  -1          -0.45533E-02   -0.28296E-02        -0.43975E-02   -0.27286E-02
  5   2           0.79888E-05    0.63211E-03         0.78573E-05    0.61850E-03
  5  -2           0.79888E-05   -0.63211E-03         0.78573E-05   -0.61850E-03
  5   3           0.18242E-01    0.12072E-01         0.17915E-01    0.11854E-01
  5  -3          -0.18242E-01    0.12072E-01        -0.17915E-01    0.11854E-01
  5   4          -0.48014E-02   -0.49669E-03        -0.46892E-02   -0.48590E-03
  5  -4          -0.48014E-02    0.49669E-03        -0.46892E-02    0.48590E-03
  5   5          -0.37408E-02    0.26302E-02        -0.37454E-02    0.26308E-02
  5  -5           0.37408E-02    0.26302E-02         0.37454E-02    0.26308E-02
  6   0           0.10587E+00    0.00000E+00         0.10484E+00    0.11875E-14
  6   1          -0.65739E-02    0.99763E-02        -0.65198E-02    0.98959E-02
  6  -1           0.65739E-02    0.99763E-02         0.65198E-02    0.98959E-02
  6   2           0.12275E-03   -0.62542E-02         0.12170E-03   -0.61934E-02
  6  -2           0.12275E-03    0.62542E-02         0.12170E-03    0.61934E-02
  6   3          -0.44242E-02   -0.64242E-02        -0.43840E-02   -0.63665E-02
  6  -3           0.44242E-02   -0.64242E-02         0.43840E-02   -0.63665E-02
  6   4          -0.19886E+00   -0.56668E-05        -0.19693E+00   -0.57680E-05
  6  -4          -0.19886E+00    0.56668E-05        -0.19693E+00    0.57680E-05
  6   5          -0.99912E-02    0.14853E-01        -0.99036E-02    0.14726E-01
  6  -5           0.99912E-02    0.14853E-01         0.99036E-02    0.14726E-01
  6   6           0.18253E-03   -0.21274E-02         0.18098E-03   -0.21077E-02
  6  -6           0.18253E-03    0.21274E-02         0.18098E-03    0.21077E-02
  6   1          -0.65739E-02    0.99763E-02        -0.65198E-02    0.98959E-02
  6  -1           0.65739E-02    0.99763E-02         0.65198E-02    0.98959E-02
  6   2           0.12275E-03   -0.62542E-02         0.12170E-03   -0.61934E-02
  6  -2           0.12275E-03    0.62542E-02         0.12170E-03    0.61934E-02
  6   3          -0.44242E-02   -0.64242E-02        -0.43840E-02   -0.63665E-02
  6  -3           0.44242E-02   -0.64242E-02         0.43840E-02   -0.63665E-02
  6   4          -0.19886E+00   -0.56668E-05        -0.19693E+00   -0.57680E-05
  6  -4          -0.19886E+00    0.56668E-05        -0.19693E+00    0.57680E-05
  6   5          -0.99912E-02    0.14853E-01        -0.99036E-02    0.14726E-01
  6  -5           0.99912E-02    0.14853E-01         0.99036E-02    0.14726E-01
  6   6           0.18253E-03   -0.21274E-02         0.18098E-03   -0.21077E-02
  6  -6           0.18253E-03    0.21274E-02         0.18098E-03    0.21077E-02
  7   0           0.25538E-02    0.00000E+00         0.25374E-02    0.47596E-14
  7   1           0.52728E-02   -0.36259E-02         0.52595E-02   -0.36170E-02
  7  -1          -0.52728E-02   -0.36259E-02        -0.52595E-02   -0.36170E-02
  7   2           0.25552E-05   -0.13226E+00         0.25455E-05   -0.13232E+00
  7  -2           0.25552E-05    0.13226E+00         0.25455E-05    0.13232E+00
  7   3          -0.13306E-02   -0.90849E-03        -0.13148E-02   -0.89805E-03
  7  -3           0.13306E-02   -0.90849E-03         0.13148E-02   -0.89805E-03
  7   4           0.24817E-02   -0.36854E-03         0.24825E-02   -0.36945E-03
  7  -4           0.24817E-02    0.36854E-03         0.24825E-02    0.36945E-03
  7   5          -0.26788E-02    0.18366E-02        -0.26985E-02    0.18499E-02
  7  -5           0.26788E-02    0.18366E-02         0.26985E-02    0.18499E-02
  7   6           0.47644E-05   -0.12103E+00         0.46995E-05   -0.12109E+00
  7  -6           0.47644E-05    0.12103E+00         0.46995E-05    0.12109E+00
  7   7          -0.48439E-02   -0.33221E-02        -0.48214E-02   -0.33072E-02
  7  -7           0.48439E-02   -0.33221E-02         0.48214E-02   -0.33072E-02
  7   1           0.52728E-02   -0.36259E-02         0.52595E-02   -0.36170E-02
  7  -1          -0.52728E-02   -0.36259E-02        -0.52595E-02   -0.36170E-02
  7   2           0.25552E-05   -0.13226E+00         0.25455E-05   -0.13232E+00
  7  -2           0.25552E-05    0.13226E+00         0.25455E-05    0.13232E+00
  7   3          -0.13306E-02   -0.90849E-03        -0.13148E-02   -0.89805E-03
  7  -3           0.13306E-02   -0.90849E-03         0.13148E-02   -0.89805E-03
  7   4           0.24817E-02   -0.36854E-03         0.24825E-02   -0.36945E-03
  7  -4           0.24817E-02    0.36854E-03         0.24825E-02    0.36945E-03
  7   5          -0.26788E-02    0.18366E-02        -0.26985E-02    0.18499E-02
  7  -5           0.26788E-02    0.18366E-02         0.26985E-02    0.18499E-02
  7   6           0.47644E-05   -0.12103E+00         0.46995E-05   -0.12109E+00
  7  -6           0.47644E-05    0.12103E+00         0.46995E-05    0.12109E+00
  7   7          -0.48439E-02   -0.33221E-02        -0.48214E-02   -0.33072E-02
  7  -7           0.48439E-02   -0.33221E-02         0.48214E-02   -0.33072E-02
  8   0           0.53933E-01    0.00000E+00         0.58188E-01   -0.98210E-15
  8   1           0.65029E-03   -0.10316E-02         0.58691E-03   -0.92898E-03
  8  -1          -0.65029E-03   -0.10316E-02        -0.58691E-03   -0.92898E-03
  8   2           0.10674E-03    0.32070E-02         0.11700E-03    0.35436E-02
  8  -2           0.10674E-03   -0.32070E-02         0.11700E-03   -0.35436E-02
  8   3          -0.84926E-03   -0.11793E-02        -0.10902E-02   -0.15461E-02
  8  -3           0.84926E-03   -0.11793E-02         0.10902E-02   -0.15461E-02
  8   4           0.19816E-01    0.90376E-05         0.21412E-01    0.90797E-05
  8  -4           0.19816E-01   -0.90376E-05         0.21412E-01   -0.90797E-05
  8   5          -0.58693E-02    0.88061E-02        -0.63231E-02    0.94811E-02
  8  -5           0.58693E-02    0.88061E-02         0.63231E-02    0.94811E-02
  8   6           0.34169E-03   -0.14971E-02         0.34602E-03   -0.15503E-02
  8  -6           0.34169E-03    0.14971E-02         0.34602E-03    0.15503E-02
  8   7          -0.34371E-02   -0.50885E-02        -0.39116E-02   -0.58058E-02
  8  -7           0.34371E-02   -0.50885E-02         0.39116E-02   -0.58058E-02
  8   8           0.30518E-01   -0.12200E-05         0.32937E-01   -0.19397E-05
  8  -8           0.30518E-01    0.12200E-05         0.32937E-01    0.19397E-05
  8   1           0.65029E-03   -0.10316E-02         0.58691E-03   -0.92898E-03
  8  -1          -0.65029E-03   -0.10316E-02        -0.58691E-03   -0.92898E-03
  8   2           0.10674E-03    0.32070E-02         0.11700E-03    0.35436E-02
  8  -2           0.10674E-03   -0.32070E-02         0.11700E-03   -0.35436E-02
  8   3          -0.84926E-03   -0.11793E-02        -0.10902E-02   -0.15461E-02
  8  -3           0.84926E-03   -0.11793E-02         0.10902E-02   -0.15461E-02
  8   4           0.19816E-01    0.90376E-05         0.21412E-01    0.90797E-05
  8  -4           0.19816E-01   -0.90376E-05         0.21412E-01   -0.90797E-05
  8   5          -0.58693E-02    0.88061E-02        -0.63231E-02    0.94811E-02
  8  -5           0.58693E-02    0.88061E-02         0.63231E-02    0.94811E-02
  8   6           0.34169E-03   -0.14971E-02         0.34602E-03   -0.15503E-02
  8  -6           0.34169E-03    0.14971E-02         0.34602E-03    0.15503E-02
  8   7          -0.34371E-02   -0.50885E-02        -0.39116E-02   -0.58058E-02
  8  -7           0.34371E-02   -0.50885E-02         0.39116E-02   -0.58058E-02
  8   8           0.30518E-01   -0.12200E-05         0.32937E-01   -0.19397E-05
  8  -8           0.30518E-01    0.12200E-05         0.32937E-01    0.19397E-05

          multipole moments for atom type=    2

  l   m                   original                      plane wave
  0   0          -0.52094E+00    0.00000E+00         0.77999E+00   -0.14541E-14
  1   0          -0.16592E-02    0.00000E+00        -0.14052E-02    0.63468E-15
  1   1           0.49047E-02   -0.31329E-02         0.40428E-02   -0.25896E-02
  1  -1          -0.49047E-02   -0.31329E-02        -0.40428E-02   -0.25896E-02
  1   1           0.49047E-02   -0.31329E-02         0.40428E-02   -0.25896E-02
  1  -1          -0.49047E-02   -0.31329E-02        -0.40428E-02   -0.25896E-02
  2   0           0.53016E-03    0.00000E+00         0.50685E-03   -0.70906E-17
  2   1           0.12479E-01   -0.18893E-01         0.11880E-01   -0.17959E-01
  2  -1          -0.12479E-01   -0.18893E-01        -0.11880E-01   -0.17959E-01
  2   2          -0.29477E-03    0.59309E-02        -0.28188E-03    0.56978E-02
  2  -2          -0.29477E-03   -0.59309E-02        -0.28188E-03   -0.56978E-02
  2   1           0.12479E-01   -0.18893E-01         0.11880E-01   -0.17959E-01
  2  -1          -0.12479E-01   -0.18893E-01        -0.11880E-01   -0.17959E-01
  2   2          -0.29477E-03    0.59309E-02        -0.28188E-03    0.56978E-02
  2  -2          -0.29477E-03   -0.59309E-02        -0.28188E-03   -0.56978E-02
  3   0           0.86165E-02    0.00000E+00         0.83655E-02   -0.20220E-15
  3   1           0.10888E-01   -0.73052E-02         0.10504E-01   -0.70538E-02
  3  -1          -0.10888E-01   -0.73052E-02        -0.10504E-01   -0.70538E-02
  3   2           0.56503E-05   -0.47206E+00         0.48486E-05   -0.46486E+00
  3  -2           0.56503E-05    0.47206E+00         0.48486E-05    0.46486E+00
  3   3          -0.14038E-01   -0.93997E-02        -0.13546E-01   -0.90796E-02
  3  -3           0.14038E-01   -0.93997E-02         0.13546E-01   -0.90796E-02
  3   1           0.10888E-01   -0.73052E-02         0.10504E-01   -0.70538E-02
  3  -1          -0.10888E-01   -0.73052E-02        -0.10504E-01   -0.70538E-02
  3   2           0.56503E-05   -0.47206E+00         0.48486E-05   -0.46486E+00
  3  -2           0.56503E-05    0.47206E+00         0.48486E-05    0.46486E+00
  3   3          -0.14038E-01   -0.93997E-02        -0.13546E-01   -0.90796E-02
  3  -3           0.14038E-01   -0.93997E-02         0.13546E-01   -0.90796E-02
  4   0          -0.27605E+00    0.00000E+00        -0.27201E+00    0.29041E-14
  4   1           0.31003E-03   -0.32187E-03         0.37489E-03   -0.42734E-03
  4  -1          -0.31003E-03   -0.32187E-03        -0.37489E-03   -0.42734E-03
  4   2          -0.31969E-03   -0.10525E-02        -0.31055E-03   -0.11105E-02
  4  -2          -0.31969E-03    0.10525E-02        -0.31055E-03    0.11105E-02
  4   3           0.73936E-03    0.80615E-03         0.91549E-03    0.10877E-02
  4  -3          -0.73936E-03    0.80615E-03        -0.91549E-03    0.10877E-02
  4   4          -0.16444E+00   -0.87143E-05        -0.16204E+00   -0.82120E-05
  4  -4          -0.16444E+00    0.87143E-05        -0.16204E+00    0.82120E-05
  4   1           0.31003E-03   -0.32187E-03         0.37489E-03   -0.42734E-03
  4  -1          -0.31003E-03   -0.32187E-03        -0.37489E-03   -0.42734E-03
  4   2          -0.31969E-03   -0.10525E-02        -0.31055E-03   -0.11105E-02
  4  -2          -0.31969E-03    0.10525E-02        -0.31055E-03    0.11105E-02
  4   3           0.73936E-03    0.80615E-03         0.91549E-03    0.10877E-02
  4  -3          -0.73936E-03    0.80615E-03        -0.91549E-03    0.10877E-02
  4   4          -0.16444E+00   -0.87143E-05        -0.16204E+00   -0.82120E-05
  4  -4          -0.16444E+00    0.87143E-05        -0.16204E+00    0.82120E-05
  5   0          -0.54093E-02    0.00000E+00        -0.53504E-02   -0.21922E-14
  5   1          -0.45534E-02    0.28295E-02        -0.43976E-02    0.27286E-02
  5  -1           0.45534E-02    0.28295E-02         0.43976E-02    0.27286E-02
  5   2          -0.80171E-05   -0.63211E-03        -0.78840E-05   -0.61849E-03
  5  -2          -0.80171E-05    0.63211E-03        -0.78840E-05    0.61849E-03
  5   3          -0.18242E-01   -0.12072E-01        -0.17915E-01   -0.11854E-01
  5  -3           0.18242E-01   -0.12072E-01         0.17915E-01   -0.11854E-01
  5   4           0.48017E-02    0.49717E-03         0.46895E-02    0.48640E-03
  5  -4           0.48017E-02   -0.49717E-03         0.46895E-02   -0.48640E-03
  5   5           0.37385E-02   -0.26303E-02         0.37430E-02   -0.26308E-02
  5  -5          -0.37385E-02   -0.26303E-02        -0.37430E-02   -0.26308E-02
  5   1          -0.45534E-02    0.28295E-02        -0.43976E-02    0.27286E-02
  5  -1           0.45534E-02    0.28295E-02         0.43976E-02    0.27286E-02
  5   2          -0.80171E-05   -0.63211E-03        -0.78840E-05   -0.61849E-03
  5  -2          -0.80171E-05    0.63211E-03        -0.78840E-05    0.61849E-03
  5   3          -0.18242E-01   -0.12072E-01        -0.17915E-01   -0.11854E-01
  5  -3           0.18242E-01   -0.12072E-01         0.17915E-01   -0.11854E-01
  5   4           0.48017E-02    0.49717E-03         0.46895E-02    0.48640E-03
  5  -4           0.48017E-02   -0.49717E-03         0.46895E-02   -0.48640E-03
  5   5           0.37385E-02   -0.26303E-02         0.37430E-02   -0.26308E-02
  5  -5          -0.37385E-02   -0.26303E-02        -0.37430E-02   -0.26308E-02
  6   0           0.10587E+00    0.00000E+00         0.10484E+00    0.23259E-14
  6   1          -0.65739E-02    0.99763E-02        -0.65198E-02    0.98959E-02
  6  -1           0.65739E-02    0.99763E-02         0.65198E-02    0.98959E-02
  6   2           0.12296E-03   -0.62541E-02         0.12191E-03   -0.61934E-02
  6  -2           0.12296E-03    0.62541E-02         0.12191E-03    0.61934E-02
  6   3          -0.44242E-02   -0.64244E-02        -0.43841E-02   -0.63667E-02
  6  -3           0.44242E-02   -0.64244E-02         0.43841E-02   -0.63667E-02
  6   4          -0.19886E+00   -0.56743E-05        -0.19693E+00   -0.57765E-05
  6  -4          -0.19886E+00    0.56743E-05        -0.19693E+00    0.57765E-05
  6   5          -0.99913E-02    0.14853E-01        -0.99038E-02    0.14726E-01
  6  -5           0.99913E-02    0.14853E-01         0.99038E-02    0.14726E-01
  6   6           0.18195E-03   -0.21269E-02         0.18037E-03   -0.21073E-02
  6  -6           0.18195E-03    0.21269E-02         0.18037E-03    0.21073E-02
  6   1          -0.65739E-02    0.99763E-02        -0.65198E-02    0.98959E-02
  6  -1           0.65739E-02    0.99763E-02         0.65198E-02    0.98959E-02
  6   2           0.12296E-03   -0.62541E-02         0.12191E-03   -0.61934E-02
  6  -2           0.12296E-03    0.62541E-02         0.12191E-03    0.61934E-02
  6   3          -0.44242E-02   -0.64244E-02        -0.43841E-02   -0.63667E-02
  6  -3           0.44242E-02   -0.64244E-02         0.43841E-02   -0.63667E-02
  6   4          -0.19886E+00   -0.56743E-05        -0.19693E+00   -0.57765E-05
  6  -4          -0.19886E+00    0.56743E-05        -0.19693E+00    0.57765E-05
  6   5          -0.99913E-02    0.14853E-01        -0.99038E-02    0.14726E-01
  6  -5           0.99913E-02    0.14853E-01         0.99038E-02    0.14726E-01
  6   6           0.18195E-03   -0.21269E-02         0.18037E-03   -0.21073E-02
  6  -6           0.18195E-03    0.21269E-02         0.18037E-03    0.21073E-02
  7   0          -0.25536E-02    0.00000E+00        -0.25372E-02   -0.24721E-15
  7   1          -0.52730E-02    0.36259E-02        -0.52597E-02    0.36170E-02
  7  -1           0.52730E-02    0.36259E-02         0.52597E-02    0.36170E-02
  7   2          -0.25249E-05    0.13226E+00        -0.25138E-05    0.13232E+00
  7  -2          -0.25249E-05   -0.13226E+00        -0.25138E-05   -0.13232E+00
  7   3           0.13316E-02    0.90852E-03         0.13158E-02    0.89808E-03
  7  -3          -0.13316E-02    0.90852E-03        -0.13158E-02    0.89808E-03
  7   4          -0.24817E-02    0.36844E-03        -0.24825E-02    0.36935E-03
  7  -4          -0.24817E-02   -0.36844E-03        -0.24825E-02   -0.36935E-03
  7   5           0.26804E-02   -0.18366E-02         0.27002E-02   -0.18499E-02
  7  -5          -0.26804E-02   -0.18366E-02        -0.27002E-02   -0.18499E-02
  7   6          -0.46716E-05    0.12103E+00        -0.46022E-05    0.12109E+00
  7  -6          -0.46716E-05   -0.12103E+00        -0.46022E-05   -0.12109E+00
  7   7           0.48439E-02    0.33218E-02         0.48214E-02    0.33069E-02
  7  -7          -0.48439E-02    0.33218E-02        -0.48214E-02    0.33069E-02
  7   1          -0.52730E-02    0.36259E-02        -0.52597E-02    0.36170E-02
  7  -1           0.52730E-02    0.36259E-02         0.52597E-02    0.36170E-02
  7   2          -0.25249E-05    0.13226E+00        -0.25138E-05    0.13232E+00
  7  -2          -0.25249E-05   -0.13226E+00        -0.25138E-05   -0.13232E+00
  7   3           0.13316E-02    0.90852E-03         0.13158E-02    0.89808E-03
  7  -3          -0.13316E-02    0.90852E-03        -0.13158E-02    0.89808E-03
  7   4          -0.24817E-02    0.36844E-03        -0.24825E-02    0.36935E-03
  7  -4          -0.24817E-02   -0.36844E-03        -0.24825E-02   -0.36935E-03
  7   5           0.26804E-02   -0.18366E-02         0.27002E-02   -0.18499E-02
  7  -5          -0.26804E-02   -0.18366E-02        -0.27002E-02   -0.18499E-02
  7   6          -0.46716E-05    0.12103E+00        -0.46022E-05    0.12109E+00
  7  -6          -0.46716E-05   -0.12103E+00        -0.46022E-05   -0.12109E+00
  7   7           0.48439E-02    0.33218E-02         0.48214E-02    0.33069E-02
  7  -7          -0.48439E-02    0.33218E-02        -0.48214E-02    0.33069E-02
  8   0           0.53933E-01    0.00000E+00         0.58188E-01   -0.10097E-13
  8   1           0.65024E-03   -0.10322E-02         0.58687E-03   -0.92967E-03
  8  -1          -0.65024E-03   -0.10322E-02        -0.58687E-03   -0.92967E-03
  8   2           0.10673E-03    0.32072E-02         0.11702E-03    0.35439E-02
  8  -2           0.10673E-03   -0.32072E-02         0.11702E-03   -0.35439E-02
  8   3          -0.84932E-03   -0.11797E-02        -0.10902E-02   -0.15466E-02
  8  -3           0.84932E-03   -0.11797E-02         0.10902E-02   -0.15466E-02
  8   4           0.19816E-01    0.91993E-05         0.21412E-01    0.92627E-05
  8  -4           0.19816E-01   -0.91993E-05         0.21412E-01   -0.92627E-05
  8   5          -0.58693E-02    0.88049E-02        -0.63231E-02    0.94798E-02
  8  -5           0.58693E-02    0.88049E-02         0.63231E-02    0.94798E-02
  8   6           0.34201E-03   -0.14973E-02         0.34633E-03   -0.15505E-02
  8  -6           0.34201E-03    0.14973E-02         0.34633E-03    0.15505E-02
  8   7          -0.34371E-02   -0.50869E-02        -0.39116E-02   -0.58042E-02
  8  -7           0.34371E-02   -0.50869E-02         0.39116E-02   -0.58042E-02
  8   8           0.30518E-01   -0.12765E-05         0.32937E-01   -0.19997E-05
  8  -8           0.30518E-01    0.12765E-05         0.32937E-01    0.19997E-05
  8   1           0.65024E-03   -0.10322E-02         0.58687E-03   -0.92967E-03
  8  -1          -0.65024E-03   -0.10322E-02        -0.58687E-03   -0.92967E-03
  8   2           0.10673E-03    0.32072E-02         0.11702E-03    0.35439E-02
  8  -2           0.10673E-03   -0.32072E-02         0.11702E-03   -0.35439E-02
  8   3          -0.84932E-03   -0.11797E-02        -0.10902E-02   -0.15466E-02
  8  -3           0.84932E-03   -0.11797E-02         0.10902E-02   -0.15466E-02
  8   4           0.19816E-01    0.91993E-05         0.21412E-01    0.92627E-05
  8  -4           0.19816E-01   -0.91993E-05         0.21412E-01   -0.92627E-05
  8   5          -0.58693E-02    0.88049E-02        -0.63231E-02    0.94798E-02
  8  -5           0.58693E-02    0.88049E-02         0.63231E-02    0.94798E-02
  8   6           0.34201E-03   -0.14973E-02         0.34633E-03   -0.15505E-02
  8  -6           0.34201E-03    0.14973E-02         0.34633E-03    0.15505E-02
  8   7          -0.34371E-02   -0.50869E-02        -0.39116E-02   -0.58042E-02
  8  -7           0.34371E-02   -0.50869E-02         0.39116E-02   -0.58042E-02
  8   8           0.30518E-01   -0.12765E-05         0.32937E-01   -0.19997E-05
  8  -8           0.30518E-01    0.12765E-05         0.32937E-01    0.19997E-05

          integral of pseudo charge density inside the slab=        0.000000   0.000000

     coulomb potential in the interstitial region:

          density-coulomb potential integrals


          interstitial :                       0.7783586129

          muffin tin spheres :              -845.1488411018

          total density-coulomb potenti     -844.3704824889
 wrtdop title:alpha Si                                                                ordered*

     interstitial potential average (vbar) = -0.027937

 999idsprs in starting of nmtxad= 0

          density-effective potential integrals for spin  1


          interstitial :                      -0.4741468970

          muffin tin spheres :              -897.8044216648

          total density-effective poten     -898.2785685618

          charge density-energy density integrals


          interstitial :                      -0.9773223873

          muffin tin spheres :               -40.7655928656

          total charge density-energy d      -41.7429152529
 vgen: pottot deleted
 wrtdop title:alpha Si                                                                ordered*
 IT=   5  ISEC1=  99 standard diagonalization
  Atom  1 3s branch from -4.72 to  1.07 htr. ; e_l = -0.1337
  Atom  1 3p branch from -3.11 to  1.55 htr. ; e_l =  0.0503
  Atom  1 3d branch from -9.99 to  1.95 htr. ; e_l =  0.2442
  Atom  1 4f branch from -9.99 to  4.11 htr. ; e_l =  0.4120
  Atom  2 3s branch from -4.72 to  1.07 htr. ; e_l = -0.1337
  Atom  2 3p branch from -3.11 to  1.55 htr. ; e_l =  0.0503
  Atom  2 3d branch from -9.99 to  1.95 htr. ; e_l =  0.2442
  Atom  2 4f branch from -9.99 to  4.11 htr. ; e_l =  0.4120


 wavefunction parameters for atom type  1:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.13375        4.7803610E-01  -2.4461529E-01    2       -3.1230597E-01  -7.4529258E-01    2   1.0765011E-01   4.3267158E-01
  1   0.05031       -5.5351152E-01   9.9379538E-02    1        2.6597841E-01   7.3395731E-01    2   7.9510206E-02   4.3268664E-01
  2   0.24418        6.4443395E-01   1.6351945E-01    0       -2.3286342E-01  -7.3050440E-01    1   6.5156626E-02   4.3268414E-01
  3   0.41195        8.3801303E-01   7.5548733E-01    0       -1.2157897E-01  -6.2592117E-01    1   1.3120597E-02   4.3267873E-01
  4   0.41195        9.7736968E-01   1.4627053E+00    0       -8.2130731E-02  -5.6560098E-01    1   4.9163969E-03   4.3266820E-01
  5   0.41195        1.0889926E+00   2.2154003E+00    0       -6.1660146E-02  -5.2273762E-01    1   2.3794631E-03   4.3265549E-01
  6   0.41195        1.1859764E+00   3.0206359E+00    0       -4.8924845E-02  -4.8940647E-01    1   1.3189484E-03   4.3264038E-01
  7   0.41195        1.2734336E+00   3.8786754E+00    0       -4.0219706E-02  -4.6223220E-01    1   7.9807449E-04   4.3262283E-01
  8   0.41195        1.3539875E+00   4.7881125E+00    0       -3.3904672E-02  -4.3940005E-01    1   5.1412845E-04   4.3260278E-01


 wavefunction parameters for atom type  2:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.13375        4.7803610E-01  -2.4461529E-01    2       -3.1230597E-01  -7.4529258E-01    2   1.0765011E-01   4.3267158E-01
  1   0.05031       -5.5351152E-01   9.9379547E-02    1        2.6597841E-01   7.3395731E-01    2   7.9510208E-02   4.3268664E-01
  2   0.24418        6.4443395E-01   1.6351944E-01    0       -2.3286342E-01  -7.3050440E-01    1   6.5156628E-02   4.3268414E-01
  3   0.41195        8.3801302E-01   7.5548732E-01    0       -1.2157897E-01  -6.2592117E-01    1   1.3120598E-02   4.3267873E-01
  4   0.41195        9.7736968E-01   1.4627053E+00    0       -8.2130731E-02  -5.6560098E-01    1   4.9163970E-03   4.3266820E-01
  5   0.41195        1.0889926E+00   2.2154003E+00    0       -6.1660146E-02  -5.2273762E-01    1   2.3794631E-03   4.3265549E-01
  6   0.41195        1.1859764E+00   3.0206358E+00    0       -4.8924845E-02  -4.8940647E-01    1   1.3189484E-03   4.3264038E-01
  7   0.41195        1.2734336E+00   3.8786754E+00    0       -4.0219706E-02  -4.6223220E-01    1   7.9807450E-04   4.3262283E-01
  8   0.41195        1.3539875E+00   4.7881124E+00    0       -3.3904672E-02  -4.3940005E-01    1   5.1412845E-04   4.3260278E-01


 k=(    0.444444    0.444444    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.152950   -0.031052    0.159672    0.164239    0.258807
         0.324777    0.330073    0.487632


 k=(    0.333333    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155484   -0.016374    0.134718    0.147480    0.282972
         0.327243    0.355651    0.457002


 k=(    0.222222    0.444444    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149287   -0.001230    0.095837    0.127170    0.263743
         0.363256    0.395919    0.410948


 k=(    0.111111    0.444444    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133565   -0.013249    0.094510    0.110768    0.240159
         0.284700    0.479508    0.481483


 k=(    0.000000    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.108722   -0.046134    0.102585    0.107885    0.228096
         0.244532    0.544751    0.545558


 k=(   -0.111111    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.085252   -0.069572    0.085974    0.103894    0.233603
         0.270682    0.542913    0.551865


 k=(    0.222222    0.555556    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107430   -0.042538    0.061736    0.114496    0.246436
         0.343154    0.468756    0.471959


 k=(    0.333333    0.555556    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.127895   -0.032542    0.076922    0.132523    0.268875
         0.387075    0.397981    0.435030


 k=(    0.555556    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143236   -0.035535    0.125471    0.152213    0.283052
         0.327983    0.346739    0.501233


 k=(    0.444444    0.333333    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155526   -0.016183    0.132793    0.149272    0.283450
         0.328225    0.353946    0.455906


 k=(    0.333333    0.333333    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.164825    0.000153    0.121597    0.167320    0.290421
         0.337125    0.339446    0.476652


 k=(    0.222222    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164319    0.017980    0.096663    0.147163    0.304195
         0.336467    0.384492    0.403405


 k=(    0.111111    0.333333    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153467    0.012981    0.095212    0.119294    0.273433
         0.310919    0.402980    0.466765


 k=(    0.000000    0.333333    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132582   -0.016006    0.090875    0.116282    0.245369
         0.279354    0.480243    0.483977


 k=(   -0.111111    0.333333    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103828   -0.048162    0.083972    0.094546    0.265778
         0.280088    0.470878    0.536222


 k=(   -0.222222    0.333333    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.089672   -0.058985    0.061536    0.092881    0.277185
         0.343862    0.449253    0.458303


 k=(    0.666667    0.333333    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114025   -0.035575    0.057532    0.109879    0.295110
         0.369760    0.432048    0.447942


 k=(    0.555556    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137802   -0.025440    0.090947    0.133072    0.309128
         0.319268    0.403060    0.446875


 k=(    0.444444    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149346   -0.000738    0.094024    0.128460    0.265025
         0.361940    0.395927    0.409679


 k=(    0.333333    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164327    0.018193    0.095859    0.147846    0.304545
         0.337298    0.383849    0.401455


 k=(    0.222222    0.222222    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169123    0.027177    0.085451    0.166674    0.303890
         0.364967    0.375022    0.419233


 k=(    0.111111    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163307    0.012147    0.101159    0.146990    0.311071
         0.336187    0.378198    0.407570


 k=(    0.000000    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147187   -0.008789    0.095173    0.133287    0.270756
         0.356217    0.397841    0.412503


 k=(   -0.111111    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122114   -0.030445    0.069422    0.113493    0.291171
         0.346825    0.390512    0.479377


 k=(   -0.222222    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.093085   -0.054668    0.059468    0.085798    0.343890
         0.355463    0.374865    0.436432


 k=(    0.666667    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.097204   -0.048442    0.061732    0.081156    0.346240
         0.350209    0.373589    0.440765


 k=(    0.555556    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125608   -0.021826    0.070949    0.106171    0.286507
         0.351823    0.385506    0.480911


 k=(    0.444444    0.111111    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133596   -0.013056    0.093218    0.111819    0.241271
         0.283688    0.478605    0.481151


 k=(    0.333333    0.111111    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153443    0.012798    0.095452    0.119273    0.273607
         0.310643    0.403026    0.466581


 k=(    0.222222    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163279    0.011837    0.102069    0.146369    0.310664
         0.335433    0.378813    0.409314


 k=(    0.111111    0.111111    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162701   -0.008362    0.129060    0.164965    0.292935
         0.338758    0.349115    0.472928


 k=(    0.000000    0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152154   -0.026196    0.133712    0.154827    0.288042
         0.333341    0.356006    0.450180


 k=(   -0.111111    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133004   -0.037076    0.090056    0.141642    0.310799
         0.328858    0.400659    0.440924


 k=(   -0.222222    0.111111    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.107800   -0.047267    0.056618    0.116765    0.300866
         0.373698    0.424770    0.444692


 k=(    0.666667    0.111111    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.083309   -0.066514    0.057637    0.097940    0.283132
         0.338014    0.447475    0.459206


 k=(    0.555556    0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105622   -0.044954    0.084909    0.091772    0.267676
         0.278730    0.465400    0.535709


 k=(    0.444444    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.108577   -0.046433    0.103541    0.107164    0.228532
         0.243999    0.544880    0.545394


 k=(    0.333333    0.000000    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132445   -0.016605    0.092335    0.115500    0.244348
         0.280100    0.480171    0.485289


 k=(    0.222222    0.000000    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147080   -0.009418    0.096832    0.132347    0.269389
         0.357300    0.397626    0.414200


 k=(    0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152094   -0.026420    0.134992    0.153764    0.287565
         0.331776    0.358217    0.451302


 k=(    0.000000    0.000000    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.148320   -0.042308    0.160420    0.169469    0.262375
         0.326606    0.337355    0.491812


 k=(   -0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137644   -0.047905    0.125968    0.158622    0.287289
         0.332561    0.348936    0.505710


 k=(    0.222222    0.000000    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122173   -0.044835    0.078165    0.137988    0.274896
         0.389219    0.399832    0.428676


 k=(    0.333333    0.000000    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.102346   -0.050931    0.060090    0.119416    0.252356
         0.337441    0.468860    0.474468


 k=(    0.555556    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.078140   -0.077030    0.081517    0.108540    0.239589
         0.264912    0.538820    0.551675


 k=(    0.444444   -0.111111    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.083768   -0.071244    0.085201    0.104864    0.234819
         0.269452    0.542011    0.551980


 k=(    0.333333   -0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103275   -0.049158    0.084467    0.094629    0.265983
         0.279705    0.472007    0.536359


 k=(    0.222222   -0.111111    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.121807   -0.031333    0.070201    0.113487    0.289706
         0.348129    0.391577    0.479554


 k=(    0.111111   -0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.132838   -0.037455    0.090014    0.142031    0.310051
         0.329525    0.400463    0.442083


 k=(    0.000000   -0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137586   -0.047971    0.124786    0.159983    0.287747
         0.334118    0.346464    0.505569


 k=(    0.111111    0.111111    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137823   -0.047710    0.130757    0.153171    0.286086
         0.330479    0.353647    0.506321


 k=(    0.222222    0.111111    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133523   -0.036492    0.095630    0.135050    0.314160
         0.321234    0.407662    0.441488


 k=(    0.333333    0.111111    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122918   -0.029033    0.072936    0.108837    0.290876
         0.348009    0.386600    0.484062


 k=(    0.444444    0.111111    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104837   -0.046407    0.085062    0.092481    0.267096
         0.279056    0.467747    0.536113


 k=(    0.555556    0.222222    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107165   -0.042810    0.060611    0.115588    0.247716
         0.341906    0.467153    0.472140


 k=(    0.333333   -0.222222    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.088479   -0.060498    0.060816    0.093932    0.278401
         0.342609    0.448475    0.458963


 k=(    0.222222   -0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.092019   -0.056205    0.059276    0.086518    0.344488
         0.355230    0.375310    0.435578


 k=(    0.111111   -0.222222    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.107427   -0.047802    0.056119    0.117418    0.302343
         0.371955    0.424330    0.444790


 k=(    0.000000    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122085   -0.044801    0.076952    0.139054    0.276354
         0.388686    0.397853    0.428415


 k=(    0.111111    0.222222    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133518   -0.036357    0.094234    0.136415    0.313925
         0.322662    0.405964    0.440484


 k=(    0.222222    0.222222    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138834   -0.021325    0.074420    0.147688    0.285031
         0.388520    0.391284    0.464314


 k=(    0.333333    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136129   -0.012230    0.063136    0.127827    0.315773
         0.353517    0.384475    0.458065


 k=(    0.444444    0.222222    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125075   -0.023106    0.069637    0.108611    0.285961
         0.351798    0.388171    0.478163


 k=(    0.555556    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.127776   -0.032575    0.075530    0.133889    0.270198
         0.386166    0.396483    0.434713


 k=(    0.333333    0.666667    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113712   -0.036096    0.056917    0.110721    0.296494
         0.368125    0.431250    0.448411


 k=(    0.222222    0.666667    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.096487   -0.049567    0.061190    0.082153    0.345162
         0.351910    0.373838    0.439858


 k=(    0.111111    0.666667    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.081750   -0.068208    0.056890    0.098780    0.284432
         0.336797    0.447555    0.458936


 k=(    0.000000    0.333333    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.102268   -0.050804    0.058902    0.120257    0.253749
         0.336261    0.467770    0.474021


 k=(    0.111111    0.333333    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122945   -0.028718    0.071413    0.110047    0.292112
         0.346706    0.386781    0.482628


 k=(    0.222222    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136148   -0.012140    0.063067    0.127798    0.315892
         0.353140    0.384787    0.458315


 k=(    0.333333    0.333333    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.140825   -0.014147    0.068780    0.148550    0.285236
         0.382867    0.384369    0.470353


 k=(    0.444444    0.333333    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137485   -0.025930    0.088020    0.136743    0.307081
         0.323504    0.399221    0.447050


 k=(    0.444444    0.555556    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143182   -0.035595    0.123850    0.154068    0.283494
         0.328810    0.344969    0.501162


 k=(    0.333333    0.555556    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137676   -0.025764    0.090787    0.133552    0.307970
         0.320360    0.402926    0.447969


 k=(    0.222222    0.555556    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125410   -0.022494    0.071641    0.106088    0.285081
         0.353314    0.386443    0.481028


 k=(    0.111111    0.555556    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105374   -0.045386    0.084308    0.092604    0.266828
         0.279525    0.466517    0.535740


 k=(    0.000000    0.555556    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.079125   -0.075944    0.080562    0.109276    0.240910
         0.263741    0.537852    0.551502


 k=(    0.111111    0.444444    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104982   -0.046111    0.084450    0.092890    0.266561
         0.279671    0.467692    0.535922


 k=(    0.222222    0.444444    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125144   -0.023131    0.070962    0.107324    0.284827
         0.353289    0.387781    0.479616


 k=(    0.333333    0.444444    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137518   -0.026010    0.089318    0.135384    0.307038
         0.322409    0.400973    0.448066


 k=(    0.444444    0.444444    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143129   -0.035655    0.122460    0.155669    0.283959
         0.330182    0.342641    0.501126


 k=(    0.444444    0.444444    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155570   -0.015980    0.131235    0.150665    0.283939
         0.329561    0.351875    0.454845


 k=(    0.333333    0.444444    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.164928    0.000464    0.122750    0.165525    0.290063
         0.335869    0.341711    0.476029


 k=(    0.222222    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164477    0.018660    0.097576    0.145322    0.305002
         0.334628    0.384592    0.404981


 k=(    0.111111    0.444444    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153690    0.014232    0.094869    0.118329    0.273805
         0.310922    0.401630    0.466994


 k=(    0.000000    0.444444    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132884   -0.014952    0.089882    0.116344    0.245583
         0.279369    0.479323    0.482732


 k=(   -0.111111    0.444444    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104224   -0.047458    0.083857    0.094267    0.266040
         0.279927    0.469767    0.536199


 k=(   -0.222222    0.444444    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.089624   -0.059056    0.061567    0.092880    0.277179
         0.343840    0.449639    0.458003


 k=(    0.666667    0.444444    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113904   -0.035726    0.057000    0.110533    0.295008
         0.370683    0.432502    0.446978


 k=(    0.555556    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137774   -0.025343    0.089555    0.134492    0.309023
         0.320547    0.401207    0.445955


 k=(    0.444444    0.333333    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165029    0.000760    0.124100    0.163527    0.289740
         0.335617    0.342955    0.475771


 k=(    0.333333    0.333333    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.179648    0.017765    0.165797    0.170385    0.265990
         0.329695    0.334874    0.490770


 k=(    0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183826    0.039728    0.149386    0.151222    0.287692
         0.330861    0.365114    0.405182


 k=(    0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177044    0.049928    0.123207    0.130663    0.258783
         0.325015    0.404911    0.417374


 k=(    0.000000    0.333333    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159497    0.022770    0.116297    0.122098    0.233581
         0.280682    0.469871    0.470076


 k=(   -0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132685   -0.016262    0.097401    0.110593    0.239584
         0.284492    0.481268    0.486108


 k=(   -0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.105169   -0.047026    0.064329    0.114309    0.246208
         0.343125    0.472854    0.474087


 k=(    0.666667    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.113446   -0.035796    0.048893    0.126850    0.260559
         0.422508    0.445422    0.458987


 k=(    0.555556    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141464   -0.012578    0.070274    0.145675    0.282496
         0.384505    0.387111    0.469815


 k=(    0.444444    0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164643    0.019533    0.097793    0.144055    0.306303
         0.333495    0.383991    0.404668


 k=(    0.333333    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183871    0.040107    0.147435    0.152691    0.288087
         0.332062    0.363578    0.403908


 k=(    0.222222    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192587    0.061518    0.130412    0.182905    0.301914
         0.332044    0.343658    0.429138


 k=(    0.111111    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190128    0.068791    0.120967    0.162500    0.293516
         0.343799    0.367339    0.389166


 k=(    0.000000    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176547    0.045377    0.121418    0.136967    0.261799
         0.321203    0.406959    0.419482


 k=(   -0.111111    0.222222    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152806    0.009604    0.095180    0.122916    0.272324
         0.310776    0.406845    0.466696


 k=(   -0.222222    0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123134   -0.028753    0.074029    0.108229    0.284299
         0.353891    0.390159    0.483087


 k=(    0.666667    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.111750   -0.040638    0.059856    0.110432    0.294767
         0.375115    0.428098    0.446896


 k=(    0.555556    0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137135   -0.008921    0.063040    0.125231    0.313061
         0.354467    0.384745    0.458989


 k=(    0.444444    0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153887    0.015293    0.094923    0.117178    0.274375
         0.310655    0.400317    0.467103


 k=(    0.333333    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177088    0.050504    0.121240    0.131948    0.259567
         0.324465    0.404558    0.416452


 k=(    0.222222    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190122    0.068654    0.121094    0.162571    0.293559
         0.343869    0.367129    0.388972


 k=(    0.111111    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192032    0.055127    0.136924    0.181341    0.305022
         0.338862    0.343540    0.424970


 k=(    0.000000    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182724    0.032073    0.148931    0.158302    0.292839
         0.335707    0.366138    0.398288


 k=(   -0.111111    0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162824    0.010370    0.098115    0.152585    0.308173
         0.341778    0.378199    0.403189


 k=(   -0.222222    0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134635   -0.016634    0.062695    0.131756    0.319426
         0.352099    0.384352    0.457828


 k=(   -0.333333    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110061   -0.043199    0.056729    0.114517    0.301508
         0.367175    0.425735    0.447361


 k=(    0.555556    0.111111    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.124332   -0.025074    0.070483    0.108512    0.291279
         0.347407    0.385008    0.481928


 k=(    0.444444    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133049   -0.014515    0.090364    0.115619    0.244768
         0.280150    0.478280    0.482867


 k=(    0.333333    0.000000    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159472    0.022543    0.117350    0.121336    0.233724
         0.280432    0.469717    0.470069


 k=(    0.222222    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176478    0.044509    0.123311    0.136171    0.261172
         0.321369    0.406988    0.420661


 k=(    0.111111    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182669    0.031643    0.149785    0.158065    0.292480
         0.334041    0.367980    0.399541


 k=(    0.000000    0.000000    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.177813    0.008899    0.166988    0.176069    0.269863
         0.331528    0.341936    0.491641


 k=(   -0.111111    0.000000    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162374   -0.009246    0.125121    0.170820    0.293760
         0.338042    0.346995    0.473019


 k=(   -0.222222    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.137816   -0.023505    0.071925    0.152082    0.288692
         0.384439    0.389278    0.464912


 k=(   -0.333333    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.108960   -0.043778    0.046922    0.132538    0.266837
         0.415620    0.439160    0.463643


 k=(    0.555556    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104145   -0.047621    0.058346    0.119548    0.252510
         0.337383    0.465878    0.473468


 k=(    0.444444   -0.111111    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104073   -0.047758    0.084351    0.093974    0.266537
         0.279349    0.469827    0.536393


 k=(    0.333333   -0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132414   -0.017101    0.097082    0.111586    0.240491
         0.283443    0.481449    0.486843


 k=(    0.222222   -0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152557    0.008296    0.095647    0.123839    0.272145
         0.310492    0.408161    0.466610


 k=(    0.111111   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162631    0.009430    0.098180    0.153657    0.307082
         0.342608    0.378778    0.403551


 k=(    0.000000   -0.111111    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162261   -0.009570    0.124165    0.172405    0.294124
         0.338202    0.345835    0.474054


 k=(   -0.111111   -0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.151931   -0.027020    0.140767    0.148455    0.286238
         0.328883    0.362934    0.454856


 k=(   -0.222222   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133059   -0.037519    0.095071    0.136563    0.310575
         0.324510    0.406856    0.445391


 k=(   -0.333333   -0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108247   -0.046880    0.058709    0.114414    0.301264
         0.370447    0.422700    0.447853


 k=(    0.555556   -0.111111    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.083053   -0.066829    0.057709    0.097946    0.283113
         0.337965    0.448253    0.458652


 k=(    0.444444   -0.222222    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.088336   -0.060700    0.060895    0.093930    0.278385
         0.342552    0.449401    0.458264


 k=(    0.333333   -0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104028   -0.048920    0.064068    0.115336    0.247412
         0.341898    0.472686    0.474847


 k=(    0.222222   -0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122350   -0.030631    0.073811    0.109694    0.285282
         0.352701    0.391265    0.482784


 k=(    0.111111   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134092   -0.018248    0.062821    0.132879    0.320971
         0.351571    0.384074    0.457440


 k=(    0.000000   -0.222222    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.137465   -0.024285    0.071309    0.153300    0.290170
         0.383165    0.388316    0.465561


 k=(   -0.111111   -0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.132889   -0.037764    0.093661    0.138287    0.309832
         0.326365    0.404973    0.445534


 k=(   -0.222222   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122491   -0.044829    0.082321    0.134005    0.271142
         0.391252    0.404153    0.430281


 k=(    0.333333    0.222222    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109328   -0.045338    0.060701    0.111899    0.297391
         0.374989    0.423594    0.448308


 k=(    0.444444    0.222222    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.095488   -0.051178    0.061135    0.082902    0.346922
         0.350283    0.374461    0.439193


 k=(    0.444444    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113455   -0.036430    0.055904    0.112007    0.296255
         0.369954    0.432086    0.446777


 k=(    0.333333    0.666667    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.112573   -0.037457    0.048553    0.128032    0.261835
         0.420826    0.444050    0.459805


 k=(    0.222222    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110485   -0.043020    0.059656    0.111843    0.295970
         0.375944    0.426366    0.446413


 k=(    0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108732   -0.045602    0.056656    0.115731    0.302811
         0.367889    0.424304    0.446580


 k=(    0.000000   -0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.107993   -0.045391    0.046609    0.133464    0.268249
         0.414240    0.437785    0.465559


 k=(   -0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.107790   -0.047463    0.057631    0.115674    0.302698
         0.369545    0.422786    0.446805


 k=(    0.222222    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109242   -0.045388    0.060107    0.112521    0.297337
         0.375848    0.424079    0.447174


 k=(    0.333333    0.333333    0.666667):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.111676   -0.039132    0.048281    0.129094    0.263212
         0.419043    0.442579    0.461154


 k=(    0.444444    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113138   -0.036958    0.055378    0.112748    0.297728
         0.368215    0.431148    0.447466


 k=(    0.444444    0.555556    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137615   -0.025587    0.088102    0.136326    0.307957
         0.322685    0.399323    0.446031


 k=(    0.333333    0.555556    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141147   -0.013349    0.069469    0.147179    0.283803
         0.383439    0.386037    0.469870


 k=(    0.222222    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136654   -0.010483    0.062972    0.126561    0.314417
         0.353746    0.384883    0.458761


 k=(    0.111111    0.555556    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123660   -0.026733    0.070178    0.109902    0.292308
         0.346383    0.386002    0.481561


 k=(    0.000000    0.555556    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103195   -0.049118    0.058027    0.120324    0.253826
         0.336224    0.466243    0.473576


 k=(   -0.111111    0.555556    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.081629   -0.068350    0.056916    0.098782    0.284425
         0.336779    0.447840    0.458735


 k=(    0.222222    0.444444    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.095629   -0.050925    0.060931    0.082970    0.345641
         0.351816    0.374277    0.439045


 k=(    0.333333    0.444444    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113274   -0.036775    0.055862    0.112114    0.297867
         0.367308    0.430768    0.448133


 k=(    0.555556    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.127665   -0.032590    0.074232    0.135114    0.271624
         0.385404    0.394676    0.434513


 k=(    0.444444    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149414   -0.000191    0.092298    0.129580    0.266387
         0.360493    0.396365    0.408074


 k=(    0.333333    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164498    0.019126    0.095883    0.146713    0.305735
         0.336240    0.383250    0.401200


 k=(    0.222222    0.444444    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169396    0.028918    0.085148    0.165128    0.302480
         0.366557    0.374346    0.419777


 k=(    0.111111    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163697    0.014262    0.100134    0.146055    0.310857
         0.335379    0.378735    0.406192


 k=(    0.000000    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147724   -0.006597    0.093174    0.133496    0.270865
         0.356180    0.397479    0.410577


 k=(   -0.111111    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122837   -0.028499    0.068258    0.113342    0.291325
         0.346507    0.389778    0.478251


 k=(   -0.222222    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.093968   -0.053381    0.059757    0.085069    0.343559
         0.355229    0.374562    0.437388


 k=(    0.666667    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.097127   -0.048587    0.061869    0.081102    0.347841
         0.348473    0.373680    0.440860


 k=(    0.555556    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125558   -0.021733    0.069545    0.107463    0.287739
         0.350236    0.385908    0.479476


 k=(    0.444444    0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164655    0.019786    0.096896    0.144769    0.306686
         0.334274    0.383301    0.402828


 k=(    0.333333    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183917    0.040519    0.146047    0.153542    0.288474
         0.333541    0.361769    0.402668


 k=(    0.222222    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192669    0.062232    0.131130    0.180920    0.301624
         0.333826    0.342664    0.428747


 k=(    0.111111    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190249    0.070527    0.120492    0.160868    0.293936
         0.343304    0.366674    0.389448


 k=(    0.000000    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176715    0.047188    0.119320    0.137086    0.262008
         0.321523    0.406193    0.417929


 k=(   -0.111111    0.333333    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153031    0.010786    0.094804    0.122067    0.272667
         0.310783    0.405549    0.466684


 k=(   -0.222222    0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123406   -0.028160    0.074773    0.106997    0.284523
         0.353888    0.388895    0.484451


 k=(    0.666667    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.111842   -0.040568    0.060459    0.109781    0.294824
         0.374207    0.427590    0.448150


 k=(    0.555556    0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137124   -0.008977    0.063085    0.125247    0.313001
         0.354688    0.384546    0.458853


 k=(    0.444444    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169666    0.030632    0.084975    0.163436    0.301253
         0.367982    0.373788    0.420282


 k=(    0.333333    0.222222    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192749    0.062896    0.132087    0.178730    0.301418
         0.336144    0.341083    0.428470


 k=(    0.222222    0.222222    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205577    0.086760    0.177374    0.182113    0.279242
         0.328275    0.332755    0.439142


 k=(    0.111111    0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207117    0.108335    0.160870    0.168446    0.285566
         0.332664    0.359588    0.385894


 k=(    0.000000    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197231    0.094787    0.142570    0.149687    0.254505
         0.336520    0.397453    0.398415


 k=(   -0.111111    0.222222    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176548    0.044808    0.129148    0.130452    0.258087
         0.323815    0.407391    0.421972


 k=(   -0.222222    0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147753   -0.007663    0.101835    0.126586    0.263337
         0.362440    0.397902    0.416770


 k=(   -0.333333    0.222222    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124967   -0.039741    0.081820    0.131879    0.268577
         0.390163    0.403650    0.433032


 k=(    0.555556    0.222222    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.140316   -0.016929    0.073755    0.145178    0.282367
         0.387151    0.391881    0.466630


 k=(    0.444444    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164055    0.016064    0.100153    0.144331    0.310451
         0.333672    0.379884    0.406544


 k=(    0.333333    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190365    0.072110    0.120351    0.159094    0.294468
         0.342791    0.365859    0.389587


 k=(    0.222222    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207140    0.108944    0.161920    0.166597    0.285860
         0.333434    0.358456    0.385206


 k=(    0.111111    0.111111    0.222222):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212754    0.122131    0.157449    0.196094    0.313033
         0.317362    0.323216    0.399420


 k=(    0.000000    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.206845    0.101283    0.165937    0.170962    0.287556
         0.334727    0.359243    0.384750


 k=(   -0.111111    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189764    0.064386    0.121126    0.167961    0.292170
         0.344091    0.370216    0.389081


 k=(   -0.222222    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163174    0.011774    0.099079    0.150644    0.304142
         0.338705    0.382940    0.408413


 k=(   -0.333333    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134787   -0.033234    0.092448    0.136848    0.307574
         0.325020    0.404251    0.448118


 k=(    0.555556    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135499   -0.031548    0.093223    0.134467    0.312749
         0.320271    0.405234    0.442155


 k=(    0.444444    0.000000    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148146   -0.005047    0.092839    0.132752    0.269617
         0.357319    0.396735    0.410420


 k=(    0.333333    0.000000    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176814    0.048086    0.119191    0.136366    0.261599
         0.322034    0.405381    0.417629


 k=(    0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197225    0.094415    0.143883    0.148839    0.254581
         0.336296    0.397518    0.398165


 k=(    0.111111    0.000000    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.206816    0.100525    0.165498    0.172499    0.287316
         0.333829    0.360263    0.385182


 k=(    0.000000    0.000000    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.204961    0.078064    0.179547    0.188941    0.283796
         0.328660    0.337090    0.435364


 k=(   -0.111111    0.000000    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.191780    0.053310    0.134064    0.187801    0.305379
         0.332575    0.347988    0.425739


 k=(   -0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168299    0.022490    0.085662    0.171665    0.307159
         0.361456    0.376890    0.417727


 k=(   -0.333333    0.000000    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138662   -0.020663    0.069754    0.152446    0.288766
         0.381451    0.387106    0.467716


 k=(    0.555556    0.000000    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124419   -0.039795    0.074976    0.138449    0.275079
         0.386321    0.396075    0.431000


 k=(    0.444444   -0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123242   -0.027479    0.067936    0.113147    0.290006
         0.347530    0.390115    0.477269


 k=(    0.333333   -0.111111    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153007    0.010610    0.095013    0.122069    0.272833
         0.310515    0.405598    0.466493


 k=(    0.222222   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176424    0.043627    0.129109    0.131749    0.258651
         0.322924    0.407833    0.422571


 k=(    0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189635    0.062754    0.121665    0.169482    0.291871
         0.344093    0.371089    0.388960


 k=(    0.000000   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.191693    0.052621    0.133533    0.189586    0.305719
         0.330862    0.348940    0.426156


 k=(   -0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182516    0.030533    0.151538    0.157874    0.291369
         0.330382    0.372228    0.403457


 k=(   -0.222222   -0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162734    0.009340    0.101214    0.150315    0.306822
         0.338250    0.380802    0.410523


 k=(   -0.333333   -0.111111    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134603   -0.016770    0.062794    0.131806    0.319185
         0.352745    0.383882    0.457377


 k=(   -0.444444   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109530   -0.043797    0.054797    0.116898    0.300949
         0.370564    0.427650    0.444859


 k=(    0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.093810   -0.053648    0.059940    0.085020    0.344084
         0.354408    0.374796    0.437528


 k=(    0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122901   -0.029466    0.075300    0.107255    0.285744
         0.352670    0.388780    0.485402


 k=(    0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147282   -0.009351    0.102016    0.127678    0.264500
         0.361102    0.398347    0.417415


 k=(    0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162789    0.009900    0.099361    0.152155    0.304748
         0.340105    0.381792    0.408100


 k=(    0.000000   -0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168014    0.020851    0.085997    0.173058    0.308632
         0.359900    0.377773    0.417127


 k=(   -0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162569    0.008710    0.100402    0.151974    0.306128
         0.339848    0.380746    0.409159


 k=(   -0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.146811   -0.010997    0.102300    0.128577    0.265752
         0.359748    0.398985    0.417847


 k=(   -0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122122   -0.031314    0.075065    0.108683    0.286811
         0.351434    0.389899    0.485084


 k=(   -0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.092814   -0.055111    0.059750    0.085728    0.344789
         0.354077    0.375256    0.436648


 k=(    0.444444    0.666667    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.096273   -0.049963    0.061534    0.082029    0.347425
         0.349262    0.374109    0.440103


 k=(    0.333333    0.666667    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110663   -0.042900    0.060852    0.110572    0.296082
         0.374174    0.425373    0.448808


 k=(   -0.222222    0.333333   -0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.123758   -0.042269    0.082033    0.133018    0.269807
         0.390582    0.404031    0.431693


 k=(    0.111111   -0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133770   -0.035618    0.092363    0.138448    0.308286
         0.326633    0.403663    0.446920


 k=(    0.000000   -0.333333    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.137897   -0.022871    0.070240    0.153485    0.290206
         0.381632    0.387238    0.467088


 k=(   -0.111111   -0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134080   -0.018298    0.062856    0.132898    0.320869
         0.351823    0.383903    0.457264


 k=(   -0.222222   -0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.121843   -0.031887    0.074320    0.109890    0.286573
         0.351462    0.391120    0.483832


 k=(   -0.333333   -0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.102856   -0.050807    0.063843    0.116244    0.248703
         0.340634    0.473556    0.474579


 k=(   -0.444444   -0.333333    0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.087071   -0.062255    0.060225    0.094882    0.279676
         0.341243    0.448761    0.458806


 k=(    0.444444    0.555556    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125291   -0.022376    0.068913    0.108667    0.287445
         0.350240    0.387230    0.478141


 k=(    0.333333    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136624   -0.010629    0.063087    0.126606    0.314244
         0.354341    0.384368    0.458380


 k=(    0.222222    0.555556    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139585   -0.019123    0.074048    0.146504    0.283635
         0.387577    0.391862    0.465369


 k=(    0.111111    0.555556    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134524   -0.033875    0.093007    0.136171    0.313023
         0.322337    0.404714    0.440888


 k=(    0.000000    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.123240   -0.042257    0.075367    0.139289    0.276443
         0.387156    0.395966    0.429687


 k=(    0.111111    0.444444   -0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108337   -0.046020    0.055203    0.117487    0.302392
         0.370360    0.425786    0.444803


 k=(    0.222222    0.444444   -0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.091909   -0.056378    0.059378    0.086495    0.344833
         0.354698    0.375463    0.435656


 k=(    0.333333    0.444444   -0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.087173   -0.062117    0.060176    0.094882    0.279687
         0.341278    0.448229    0.459197


 k=(    0.555556    0.555556    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.106934   -0.043008    0.059521    0.116563    0.249084
         0.340603    0.465959    0.471953


 k=(    0.444444    0.444444    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133648   -0.012775    0.091947    0.112744    0.242427
         0.282669    0.478639    0.479891


 k=(    0.333333    0.444444    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153652    0.013930    0.095276    0.118279    0.274092
         0.310473    0.401699    0.466705


 k=(    0.222222    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163646    0.013639    0.102008    0.144752    0.310034
         0.333897    0.379989    0.409686


 k=(    0.111111    0.444444    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163247   -0.006367    0.128763    0.163702    0.291965
         0.337118    0.349513    0.473035


 k=(    0.000000    0.444444    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152917   -0.023967    0.131862    0.155290    0.287463
         0.333433    0.353811    0.450345


 k=(   -0.111111    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134018   -0.034591    0.088832    0.141436    0.309972
         0.328438    0.399414    0.441280


 k=(   -0.222222    0.444444    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109056   -0.044956    0.056165    0.116202    0.299391
         0.373901    0.426922    0.444275


 k=(    0.666667    0.444444    0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.084670   -0.064996    0.058350    0.097117    0.281784
         0.339285    0.447829    0.459077


 k=(    0.555556    0.444444    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105538   -0.045131    0.085352    0.091451    0.268059
         0.278300    0.465429    0.535821


 k=(    0.444444    0.333333    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153873    0.015177    0.095086    0.117152    0.274486
         0.310483    0.400341    0.466997


 k=(    0.333333    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177136    0.051194    0.119372    0.132991    0.260353
         0.323938    0.404518    0.415247


 k=(    0.222222    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190241    0.070294    0.120713    0.160975    0.294009
         0.343424    0.366323    0.389143


 k=(    0.111111    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192227    0.057029    0.136436    0.179719    0.303995
         0.338859    0.343048    0.425487


 k=(    0.000000    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183009    0.034073    0.146810    0.158521    0.292103
         0.336407    0.364040    0.398180


 k=(   -0.111111    0.333333    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163218    0.012473    0.096997    0.151789    0.307821
         0.341183    0.378708    0.401675


 k=(   -0.222222    0.333333    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135155   -0.015051    0.062565    0.130678    0.317693
         0.353041    0.384332    0.458056


 k=(   -0.333333    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110499   -0.042599    0.057769    0.113259    0.300023
         0.368093    0.425860    0.448214


 k=(    0.555556    0.333333    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.124327   -0.025343    0.072002    0.107274    0.289984
         0.348889    0.384721    0.483356


 k=(    0.444444    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164032    0.015752    0.101122    0.143644    0.310034
         0.332946    0.380525    0.408291


 k=(    0.333333    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190361    0.072018    0.120441    0.159131    0.294497
         0.342839    0.365721    0.389475


 k=(    0.222222    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207165    0.109684    0.162904    0.164656    0.286127
         0.334362    0.357229    0.384549


 k=(    0.111111    0.222222    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212807    0.124149    0.156864    0.194035    0.312340
         0.319169    0.322108    0.399275


 k=(    0.000000    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.206931    0.103503    0.163932    0.170367    0.287400
         0.335307    0.358045    0.384325


 k=(   -0.111111    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189888    0.065996    0.120560    0.166564    0.292500
         0.343977    0.369275    0.389115


 k=(   -0.222222    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163338    0.012433    0.099859    0.148989    0.304796
         0.337080    0.383058    0.409821


 k=(   -0.333333    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134951   -0.032989    0.093873    0.135101    0.308246
         0.323208    0.406204    0.447980


 k=(    0.555556    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135511   -0.031676    0.094675    0.133043    0.313166
         0.318649    0.407073    0.443051


 k=(    0.444444    0.111111    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163782   -0.004372    0.128648    0.162193    0.291096
         0.336136    0.349227    0.473775


 k=(    0.333333    0.111111    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192420    0.058935    0.136135    0.177860    0.303128
         0.339742    0.341586    0.426052


 k=(    0.222222    0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212861    0.126117    0.156645    0.191640    0.312390
         0.320287    0.320999    0.399084


 k=(    0.111111    0.111111    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222397    0.163325    0.191420    0.196603    0.293984
         0.312027    0.315616    0.365630


 k=(    0.000000    0.111111    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220360    0.163955    0.177123    0.187595    0.283301
         0.332229    0.335993    0.357259


 k=(   -0.111111    0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.206862    0.101911    0.160330    0.176792    0.285588
         0.331266    0.363058    0.387171


 k=(   -0.222222    0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182994    0.033749    0.149241    0.157344    0.289195
         0.329132    0.371317    0.405738


 k=(   -0.333333    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153355   -0.022959    0.140451    0.146250    0.284173
         0.326886    0.362216    0.457258


 k=(    0.555556    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140203   -0.042645    0.130504    0.150785    0.284171
         0.328205    0.353280    0.504339


 k=(    0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153602   -0.021967    0.131327    0.154610    0.286478
         0.331895    0.353904    0.451544


 k=(    0.333333    0.000000    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183236    0.035648    0.145924    0.158085    0.291097
         0.335338    0.363859    0.399294


 k=(    0.222222    0.000000    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.206988    0.104939    0.162652    0.170144    0.287057
         0.334927    0.357918    0.384332


 k=(    0.111111    0.000000    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220358    0.162870    0.179141    0.186769    0.283261
         0.332851    0.335255    0.357200


 k=(    0.000000    0.000000    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222265    0.152430    0.195225    0.205750    0.299647
         0.308854    0.314907    0.363069


 k=(   -0.111111    0.000000    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212591    0.117418    0.157173    0.203321    0.310241
         0.317678    0.325496    0.399778


 k=(   -0.222222    0.000000    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192005    0.055757    0.131589    0.188495    0.304015
         0.329782    0.348139    0.427451


 k=(   -0.333333    0.000000    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163253   -0.005861    0.122217    0.171833    0.292618
         0.335259    0.345245    0.475015


 k=(   -0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139920   -0.042958    0.122735    0.159663    0.286293
         0.331991    0.344949    0.503703


 k=(    0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134835   -0.032506    0.087602    0.141561    0.308616
         0.328527    0.398043    0.442630


 k=(    0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163419    0.013620    0.095995    0.152012    0.306476
         0.341436    0.379801    0.400398


 k=(    0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189882    0.065870    0.120669    0.166643    0.292539
         0.344031    0.369087    0.388915


 k=(    0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.206799    0.100324    0.161620    0.177308    0.285981
         0.331495    0.363092    0.386909


 k=(    0.000000   -0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212535    0.115680    0.157778    0.205166    0.310293
         0.316702    0.326443    0.399801


 k=(   -0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.206737    0.098830    0.162988    0.177604    0.286397
         0.331801    0.363099    0.386681


 k=(   -0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189756    0.064197    0.121286    0.168093    0.292227
         0.344173    0.369927    0.388756


 k=(   -0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163232    0.012650    0.096124    0.153042    0.305414
         0.342318    0.380370    0.400692


 k=(   -0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134683   -0.032880    0.087580    0.141934    0.307921
         0.329155    0.397912    0.443683


 k=(   -0.444444    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109878   -0.043266    0.055261    0.116265    0.299426
         0.372361    0.428365    0.444409


 k=(   -0.333333    0.222222   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135135   -0.015137    0.062629    0.130709    0.317560
         0.353432    0.384028    0.457787


 k=(   -0.222222    0.222222   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163117    0.011188    0.100955    0.148841    0.306094
         0.336883    0.381967    0.410874


 k=(   -0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182755    0.032123    0.150140    0.157903    0.290240
         0.329683    0.371859    0.404598


 k=(    0.000000    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.191806    0.053821    0.132321    0.189948    0.305004
         0.329445    0.349045    0.427039


 k=(    0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189632    0.062686    0.121720    0.169534    0.291891
         0.344121    0.370985    0.388836


 k=(    0.222222    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176304    0.042523    0.129587    0.132410    0.259222
         0.322089    0.408466    0.422999


 k=(   -0.333333   -0.222222    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152768    0.009330    0.095497    0.122931    0.272584
         0.310354    0.406925    0.466382


 k=(   -0.444444   -0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122963   -0.028339    0.068712    0.113138    0.288503
         0.348969    0.391135    0.477323


 k=(    0.555556    0.333333   -0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.084537   -0.065166    0.058396    0.097120    0.281772
         0.339253    0.448333    0.458713


 k=(   -0.333333    0.333333   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109625   -0.044422    0.058777    0.113212    0.299894
         0.369703    0.424331    0.448499


 k=(   -0.222222    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134104   -0.035129    0.095198    0.134977    0.309687
         0.322979    0.407500    0.446637


 k=(   -0.111111    0.333333   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152650   -0.024992    0.140264    0.147736    0.285163
         0.327760    0.362704    0.456083


 k=(    0.000000    0.333333   -0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162705   -0.007885    0.122725    0.172928    0.293523
         0.336457    0.345314    0.475054


 k=(    0.111111    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162839    0.010563    0.097191    0.153889    0.305673
         0.342895    0.379845    0.402341


 k=(    0.222222    0.333333   -0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152542    0.008196    0.095759    0.123849    0.272240
         0.310336    0.408192    0.466489


 k=(    0.333333    0.333333   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132161   -0.017863    0.096797    0.112445    0.241432
         0.282410    0.482009    0.487226


 k=(    0.444444    0.333333   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103580   -0.048646    0.084753    0.094083    0.266563
         0.279176    0.470979    0.536535


 k=(    0.444444    0.555556    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105146   -0.045858    0.085355    0.091883    0.267750
         0.278475    0.466601    0.536042


 k=(    0.333333    0.555556    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123628   -0.027317    0.073221    0.107454    0.289777
         0.349162    0.385536    0.484423


 k=(    0.222222    0.555556    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134540   -0.034138    0.095851    0.133386    0.313582
         0.319382    0.408258    0.442782


 k=(    0.111111    0.555556    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139040   -0.045157    0.130503    0.152142    0.285085
         0.329168    0.353642    0.505314


 k=(    0.000000    0.444444   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.138751   -0.045477    0.123175    0.160523    0.287218
         0.333867    0.344432    0.504589


 k=(    0.111111    0.444444   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133700   -0.035344    0.088769    0.142196    0.308543
         0.329721    0.399091    0.443489


 k=(    0.222222    0.444444   -0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122252   -0.030247    0.069813    0.113327    0.288357
         0.349252    0.391861    0.478480


 k=(    0.333333    0.444444   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103179   -0.049341    0.084755    0.094460    0.266276
         0.279363    0.472046    0.536476


 k=(    0.444444    0.444444   -0.111111):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.082236   -0.072910    0.084444    0.105725    0.236116
         0.268185    0.541001    0.552075


 k=(    0.444444    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.108489   -0.046612    0.104389    0.106458    0.228808
         0.243665    0.545046    0.545207


 k=(    0.333333    0.444444    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132634   -0.016080    0.092718    0.114797    0.243459
         0.280976    0.479203    0.485321


 k=(    0.222222    0.444444    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147521   -0.007855    0.096467    0.131645    0.268086
         0.358557    0.396800    0.414048


 k=(    0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152801   -0.024413    0.134325    0.153259    0.286496
         0.330267    0.358319    0.452543


 k=(    0.000000    0.444444    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.149312   -0.040007    0.158910    0.169939    0.261561
         0.324496    0.337585    0.490888


 k=(   -0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.138865   -0.045347    0.125485    0.157854    0.286283
         0.330764    0.349394    0.504780


 k=(    0.222222    0.555556    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.123421   -0.042315    0.077772    0.137177    0.273481
         0.388294    0.399985    0.430096


 k=(    0.333333    0.555556    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103398   -0.049283    0.060347    0.118658    0.250998
         0.338667    0.468262    0.474538


 k=(    0.555556    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.079373   -0.075836    0.082384    0.107820    0.238230
         0.266144    0.539878    0.551756


 k=(    0.444444    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132935   -0.015043    0.091739    0.114855    0.243664
         0.281011    0.478242    0.484132


 k=(    0.333333    0.333333    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159458    0.022407    0.118267    0.120592    0.233810
         0.280281    0.469684    0.470004


 k=(    0.222222    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176583    0.045447    0.123037    0.135546    0.260691
         0.321981    0.406136    0.420404


 k=(    0.111111    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182901    0.033201    0.148484    0.158081    0.291376
         0.333030    0.367830    0.400663


 k=(    0.000000    0.333333    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178190    0.010662    0.165384    0.176449    0.268978
         0.329473    0.342175    0.491142


 k=(   -0.111111    0.333333    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162928   -0.007233    0.124601    0.169794    0.292772
         0.336210    0.347582    0.473001


 k=(   -0.222222    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138588   -0.021292    0.071435    0.151068    0.287193
         0.383890    0.389514    0.465656


 k=(   -0.333333    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.109911   -0.042131    0.047178    0.131629    0.265379
         0.417232    0.440642    0.461676


 k=(    0.555556    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104268   -0.047660    0.059476    0.118722    0.251074
         0.338647    0.466830    0.473961


 k=(    0.444444    0.222222    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148050   -0.005676    0.094474    0.131840    0.268205
         0.358618    0.396268    0.412194


 k=(    0.333333    0.222222    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176751    0.047216    0.121027    0.135608    0.260909
         0.322328    0.405292    0.418926


 k=(    0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197221    0.094196    0.144965    0.148031    0.254627
         0.336162    0.397672    0.397899


 k=(    0.111111    0.222222    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.206875    0.101926    0.163896    0.172624    0.286927
         0.333429    0.360201    0.385259


 k=(    0.000000    0.222222    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205086    0.079770    0.177704    0.189139    0.282744
         0.327193    0.337640    0.436115


 k=(   -0.111111    0.222222    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.191979    0.055234    0.133322    0.186415    0.304288
         0.332699    0.347363    0.426160


 k=(   -0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168581    0.024188    0.085261    0.170298    0.305608
         0.363131    0.376006    0.418332


 k=(   -0.333333    0.222222    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139003   -0.019863    0.070332    0.151247    0.287231
         0.382465    0.388389    0.466940


 k=(    0.555556    0.222222    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124511   -0.039819    0.076168    0.137403    0.273574
         0.386919    0.398118    0.431154


 k=(    0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153547   -0.022189    0.132526    0.153627    0.285988
         0.330294    0.356198    0.452620


 k=(    0.333333    0.111111    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183184    0.035205    0.146786    0.157839    0.290729
         0.333626    0.365807    0.400523


 k=(    0.222222    0.111111    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.206961    0.104118    0.162859    0.171062    0.286824
         0.333944    0.359057    0.384835


 k=(    0.111111    0.111111    0.000000):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220358    0.162309    0.180469    0.186066    0.283236
         0.333624    0.334411    0.357165


 k=(    0.000000    0.111111    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222291    0.154465    0.192966    0.205663    0.298239
         0.308484    0.316246    0.363580


 k=(   -0.111111    0.111111    0.000000):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212646    0.119310    0.156363    0.201572    0.309877
         0.319135    0.324356    0.399736


 k=(   -0.222222    0.111111    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192091    0.056482    0.132060    0.186748    0.303641
         0.331340    0.347389    0.426987


 k=(   -0.333333    0.111111    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163362   -0.005534    0.123137    0.170282    0.292232
         0.335084    0.346440    0.473994


 k=(   -0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139975   -0.042894    0.123867    0.158350    0.285816
         0.330456    0.347425    0.503763


 k=(   -0.444444    0.000000    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.150270   -0.037727    0.157953    0.169773    0.260803
         0.323268    0.336961    0.490008


 k=(   -0.333333    0.000000    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178562    0.012436    0.164326    0.176201    0.268153
         0.328271    0.341581    0.491183


 k=(   -0.222222    0.000000    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205210    0.081502    0.176400    0.188708    0.281769
         0.326413    0.337494    0.436863


 k=(   -0.111111    0.000000    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222318    0.156616    0.191166    0.204953    0.296958
         0.308699    0.316926    0.364080


 k=(    0.000000    0.000000    0.000000):       259 3-d basis functions
 the   8 eigenvalues are:
        -0.228144    0.198710    0.204293    0.216362    0.294221
         0.300987    0.304501    0.321333


 fermi energy and band-weighting factors:

FERMIE:
          first approx. to ef    (T=0)  :  0.216362 htr   (energy of the highest occ. eigenvalue)
          number of occ. states  (T=0)  :      1460
          first approx. to seigv (T=0)  :  0.178891 htr
          sum of weights of occ. states :  4.000000
          sum of semicore eigenvalues   :  0.000000 htr
          sum of semicore charge        :  0.000000 e



FERHIS:  Fermi-Energy by histogram:

          bandgap                     :   0.011734 htr
          charge neutrality (T=0)     :   0.000000    (zero if the highest occ. eigenvalue is "entirely" occupied)

     EF_NEWTON:  Adjust Fermi-Energy by Newton-Method.

               Number of iterations needed  :   4
               The error in the weight is   :  0.10988E-13
               The error in ef is           : -0.68908E-12 htr


     -->  new fermi energy            :   0.221500 htr
          valence charge              :   8.000000 e 
          actual charge blw ef-8kt    :   7.997257 e 
          actual charge blw ef+8kt    :   8.000000 e 
          number of occ. states       :      1463
          sum of the valence weights  :   4.000000
          entropy         :   0.000225 *kb htr/K =   0.00000 htr/K

          sum of val. single particle energies:         0.1788914304 htr



          valence density: spin= 1

     l-like charge
     atom     s        p        d        f        total
 --> 1    0.89029  1.17047  0.08204  0.00602    2.15041
 --> 2    0.89029  1.17047  0.08204  0.00602    2.15041
 Energy Parameters for spin:           1
 Max. mismatch of energy parameters:    0.000000

     energy parameters for window 1
     atom     s        p        d        f
 -->  1   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0
 -->  2   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0

          total charge for spin  1=    8.000000
          interst. charge =       3.699171
          mt charge=              2.150415    2.150414

          total charge  =    8.000000


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.2046        2.
               2.   0.   0.5   -4.7105        2.
               2.   1.   0.5   -3.1108        2.
               2.   1.   1.5   -3.0871        4.
          atom type  1  (spin 1) 
          kinetic energy=  0.285384086065E+03     sum of the eigenvalues= -0.158400083061E+03
          0.00178825  electrons lost from core.


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.2046        2.
               2.   0.   0.5   -4.7105        2.
               2.   1.   0.5   -3.1108        2.
               2.   1.   1.5   -3.0871        4.
          atom type  2  (spin 1) 
          kinetic energy=  0.285384086054E+03     sum of the eigenvalues= -0.158400083081E+03
          0.00178825  electrons lost from core.

          alpha=   1.39396     acoff=   0.09670

          alpha=   1.39396     acoff=   0.09670

          total charge for spin  1=   28.000000
          interst. charge =       3.702647
          mt charge=             12.148677   12.148677

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.702647
          mt charge=             12.148677   12.148677

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*



     t o t a l  e n e r g y

          sum of eigenvalues =              -316.6212747115

          density-coulomb potential int     -844.3704824889

          density-effective potential i     -898.2785685618

          charge density-ex.-corr.energ      -41.7429152529
 
 FORCES: EQUATION A3 FOR ATOM TYPE   1
 FX_A3= -0.013771  0.000000 FY_A3= -0.009076  0.000000 FZ_A3= -0.004270  0.000000
 FORCES: EQUATION A3 FOR ATOM TYPE   2
 FX_A3=  0.013771  0.000000 FY_A3=  0.009076  0.000000 FZ_A3=  0.004270  0.000000

          el.-nucl. inter. diff. m.t.        342.2744811437

          Madelung term for atom type:        -6.6258603082

          el.-nucl. inter. diff. m.t.        342.2744811305

          Madelung term for atom type:        -6.6258603179


 ----> total energy=                        -580.0715455473 htr

 ***** TOTAL FORCES ON ATOMS ***** 

 TOTAL FORCE FOR ATOM TYPE=  1  X=  1.292   Y=  1.292   Z=  1.292
                       FX_TOT=-0.013771 FY_TOT=-0.009076 FZ_TOT=-0.004270
 TOTAL FORCE FOR ATOM TYPE=  2  X= -1.369   Y= -1.344   Z= -1.318
                       FX_TOT= 0.013771 FY_TOT= 0.009076 FZ_TOT= 0.004270
eps_force= 0.00001max= 0.00101


 ---->(tkb*entropy) TS=                        0.0000002246 htr


 ----> free energy=                         -580.0715457719 htr


      extrapolation for T->0
 ----> total electron energy=               -580.0715456596 htr
 wrtdop title:alpha Si                                                                ordered*
 wrtdop title:alpha Si                                                                ordered*
     <vi|w|Fm> for it 2       0.842587
     <vi|w|Fm> for it 3       3.382793
     <vi|w|Fm> for it 4       1.079086

----> distance of charge densities for spin  1        it=  5:   0.184350 me/bohr**3

          total charge for spin  1=   28.000000
          interst. charge =       3.699510
          mt charge=             12.150245   12.150245

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.699510
          mt charge=             12.150245   12.150245

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*

     ******* it=  5  is completed********



             it=        6

          total charge for spin  1=   28.000000
          interst. charge =       3.699510
          mt charge=             12.150245   12.150245

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.699510
          mt charge=             12.150245   12.150245

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*


          p o t e n t i a l   g e n e r a t o r


          multipole moments for atom type=    1

  l   m                   original                      plane wave
  0   0          -0.52181E+00    0.00000E+00         0.77887E+00   -0.14172E-14
  1   0           0.16739E-02    0.00000E+00         0.14158E-02   -0.50325E-15
  1   1          -0.49427E-02    0.31576E-02        -0.40676E-02    0.26059E-02
  1  -1           0.49427E-02    0.31576E-02         0.40676E-02    0.26059E-02
  1   1          -0.49427E-02    0.31576E-02        -0.40676E-02    0.26059E-02
  1  -1           0.49427E-02    0.31576E-02         0.40676E-02    0.26059E-02
  2   0           0.52587E-03    0.00000E+00         0.50243E-03    0.58340E-16
  2   1           0.12410E-01   -0.18788E-01         0.11806E-01   -0.17846E-01
  2  -1          -0.12410E-01   -0.18788E-01        -0.11806E-01   -0.17846E-01
  2   2          -0.29241E-03    0.58984E-02        -0.27946E-03    0.56634E-02
  2  -2          -0.29241E-03   -0.58984E-02        -0.27946E-03   -0.56634E-02
  2   1           0.12410E-01   -0.18788E-01         0.11806E-01   -0.17846E-01
  2  -1          -0.12410E-01   -0.18788E-01        -0.11806E-01   -0.17846E-01
  2   2          -0.29241E-03    0.58984E-02        -0.27946E-03    0.56634E-02
  2  -2          -0.29241E-03   -0.58984E-02        -0.27946E-03   -0.56634E-02
  3   0          -0.85558E-02    0.00000E+00        -0.83062E-02   -0.10177E-14
  3   1          -0.10811E-01    0.72537E-02        -0.10428E-01    0.70031E-02
  3  -1           0.10811E-01    0.72537E-02         0.10428E-01    0.70031E-02
  3   2          -0.55707E-05    0.47201E+00        -0.47575E-05    0.46482E+00
  3  -2          -0.55707E-05   -0.47201E+00        -0.47575E-05   -0.46482E+00
  3   3           0.13939E-01    0.93335E-02         0.13448E-01    0.90143E-02
  3  -3          -0.13939E-01    0.93335E-02        -0.13448E-01    0.90143E-02
  3   1          -0.10811E-01    0.72537E-02        -0.10428E-01    0.70031E-02
  3  -1           0.10811E-01    0.72537E-02         0.10428E-01    0.70031E-02
  3   2          -0.55707E-05    0.47201E+00        -0.47575E-05    0.46482E+00
  3  -2          -0.55707E-05   -0.47201E+00        -0.47575E-05   -0.46482E+00
  3   3           0.13939E-01    0.93335E-02         0.13448E-01    0.90143E-02
  3  -3          -0.13939E-01    0.93335E-02        -0.13448E-01    0.90143E-02
  4   0          -0.27475E+00    0.00000E+00        -0.27074E+00    0.87782E-15
  4   1           0.34034E-03   -0.36920E-03         0.40634E-03   -0.47647E-03
  4  -1          -0.34034E-03   -0.36920E-03        -0.40634E-03   -0.47647E-03
  4   2          -0.31688E-03   -0.10879E-02        -0.30771E-03   -0.11472E-02
  4  -2          -0.31688E-03    0.10879E-02        -0.30771E-03    0.11472E-02
  4   3           0.82063E-03    0.93144E-03         0.99985E-03    0.12178E-02
  4  -3          -0.82063E-03    0.93144E-03        -0.99985E-03    0.12178E-02
  4   4          -0.16367E+00   -0.85704E-05        -0.16129E+00   -0.80608E-05
  4  -4          -0.16367E+00    0.85704E-05        -0.16129E+00    0.80608E-05
  4   1           0.34034E-03   -0.36920E-03         0.40634E-03   -0.47647E-03
  4  -1          -0.34034E-03   -0.36920E-03        -0.40634E-03   -0.47647E-03
  4   2          -0.31688E-03   -0.10879E-02        -0.30771E-03   -0.11472E-02
  4  -2          -0.31688E-03    0.10879E-02        -0.30771E-03    0.11472E-02
  4   3           0.82063E-03    0.93144E-03         0.99985E-03    0.12178E-02
  4  -3          -0.82063E-03    0.93144E-03        -0.99985E-03    0.12178E-02
  4   4          -0.16367E+00   -0.85704E-05        -0.16129E+00   -0.80608E-05
  4  -4          -0.16367E+00    0.85704E-05        -0.16129E+00    0.80608E-05
  5   0           0.53618E-02    0.00000E+00         0.53026E-02   -0.78221E-15
  5   1           0.44226E-02   -0.27457E-02         0.42636E-02   -0.26426E-02
  5  -1          -0.44226E-02   -0.27457E-02        -0.42636E-02   -0.26426E-02
  5   2           0.78414E-05    0.62126E-03         0.77077E-05    0.60741E-03
  5  -2           0.78414E-05   -0.62126E-03         0.77077E-05   -0.60741E-03
  5   3           0.17971E-01    0.11893E-01         0.17639E-01    0.11671E-01
  5  -3          -0.17971E-01    0.11893E-01        -0.17639E-01    0.11671E-01
  5   4          -0.47142E-02   -0.48796E-03        -0.45999E-02   -0.47695E-03
  5  -4          -0.47142E-02    0.48796E-03        -0.45999E-02    0.47695E-03
  5   5          -0.37462E-02    0.26317E-02        -0.37517E-02    0.26327E-02
  5  -5           0.37462E-02    0.26317E-02         0.37517E-02    0.26327E-02
  5   1           0.44226E-02   -0.27457E-02         0.42636E-02   -0.26426E-02
  5  -1          -0.44226E-02   -0.27457E-02        -0.42636E-02   -0.26426E-02
  5   2           0.78414E-05    0.62126E-03         0.77077E-05    0.60741E-03
  5  -2           0.78414E-05   -0.62126E-03         0.77077E-05   -0.60741E-03
  5   3           0.17971E-01    0.11893E-01         0.17639E-01    0.11671E-01
  5  -3          -0.17971E-01    0.11893E-01        -0.17639E-01    0.11671E-01
  5   4          -0.47142E-02   -0.48796E-03        -0.45999E-02   -0.47695E-03
  5  -4          -0.47142E-02    0.48796E-03        -0.45999E-02    0.47695E-03
  5   5          -0.37462E-02    0.26317E-02        -0.37517E-02    0.26327E-02
  5  -5           0.37462E-02    0.26317E-02         0.37517E-02    0.26327E-02
  6   0           0.10393E+00    0.00000E+00         0.10287E+00    0.12139E-14
  6   1          -0.64615E-02    0.98055E-02        -0.64063E-02    0.97234E-02
  6  -1           0.64615E-02    0.98055E-02         0.64063E-02    0.97234E-02
  6   2           0.11994E-03   -0.61425E-02         0.11886E-03   -0.60805E-02
  6  -2           0.11994E-03    0.61425E-02         0.11886E-03    0.60805E-02
  6   3          -0.43399E-02   -0.63009E-02        -0.42990E-02   -0.62421E-02
  6  -3           0.43399E-02   -0.63009E-02         0.42990E-02   -0.62421E-02
  6   4          -0.19521E+00   -0.55293E-05        -0.19323E+00   -0.56321E-05
  6  -4          -0.19521E+00    0.55293E-05        -0.19323E+00    0.56321E-05
  6   5          -0.98104E-02    0.14584E-01        -0.97211E-02    0.14454E-01
  6  -5           0.98104E-02    0.14584E-01         0.97211E-02    0.14454E-01
  6   6           0.17834E-03   -0.20930E-02         0.17675E-03   -0.20729E-02
  6  -6           0.17834E-03    0.20930E-02         0.17675E-03    0.20729E-02
  6   1          -0.64615E-02    0.98055E-02        -0.64063E-02    0.97234E-02
  6  -1           0.64615E-02    0.98055E-02         0.64063E-02    0.97234E-02
  6   2           0.11994E-03   -0.61425E-02         0.11886E-03   -0.60805E-02
  6  -2           0.11994E-03    0.61425E-02         0.11886E-03    0.60805E-02
  6   3          -0.43399E-02   -0.63009E-02        -0.42990E-02   -0.62421E-02
  6  -3           0.43399E-02   -0.63009E-02         0.42990E-02   -0.62421E-02
  6   4          -0.19521E+00   -0.55293E-05        -0.19323E+00   -0.56321E-05
  6  -4          -0.19521E+00    0.55293E-05        -0.19323E+00    0.56321E-05
  6   5          -0.98104E-02    0.14584E-01        -0.97211E-02    0.14454E-01
  6  -5           0.98104E-02    0.14584E-01         0.97211E-02    0.14454E-01
  6   6           0.17834E-03   -0.20930E-02         0.17675E-03   -0.20729E-02
  6  -6           0.17834E-03    0.20930E-02         0.17675E-03    0.20729E-02
  7   0           0.24946E-02    0.00000E+00         0.24781E-02    0.47044E-14
  7   1           0.52070E-02   -0.35797E-02         0.51931E-02   -0.35704E-02
  7  -1          -0.52070E-02   -0.35797E-02        -0.51931E-02   -0.35704E-02
  7   2           0.24604E-05   -0.12999E+00         0.24510E-05   -0.13004E+00
  7  -2           0.24604E-05    0.12999E+00         0.24510E-05    0.13004E+00
  7   3          -0.12767E-02   -0.87341E-03        -0.12609E-02   -0.86294E-03
  7  -3           0.12767E-02   -0.87341E-03         0.12609E-02   -0.86294E-03
  7   4           0.24613E-02   -0.36393E-03         0.24619E-02   -0.36483E-03
  7  -4           0.24613E-02    0.36393E-03         0.24619E-02    0.36483E-03
  7   5          -0.27251E-02    0.18647E-02        -0.27444E-02    0.18777E-02
  7  -5           0.27251E-02    0.18647E-02         0.27444E-02    0.18777E-02
  7   6           0.44346E-05   -0.11896E+00         0.43681E-05   -0.11900E+00
  7  -6           0.44346E-05    0.11896E+00         0.43681E-05    0.11900E+00
  7   7          -0.47529E-02   -0.32605E-02        -0.47299E-02   -0.32453E-02
  7  -7           0.47529E-02   -0.32605E-02         0.47299E-02   -0.32453E-02
  7   1           0.52070E-02   -0.35797E-02         0.51931E-02   -0.35704E-02
  7  -1          -0.52070E-02   -0.35797E-02        -0.51931E-02   -0.35704E-02
  7   2           0.24604E-05   -0.12999E+00         0.24510E-05   -0.13004E+00
  7  -2           0.24604E-05    0.12999E+00         0.24510E-05    0.13004E+00
  7   3          -0.12767E-02   -0.87341E-03        -0.12609E-02   -0.86294E-03
  7  -3           0.12767E-02   -0.87341E-03         0.12609E-02   -0.86294E-03
  7   4           0.24613E-02   -0.36393E-03         0.24619E-02   -0.36483E-03
  7  -4           0.24613E-02    0.36393E-03         0.24619E-02    0.36483E-03
  7   5          -0.27251E-02    0.18647E-02        -0.27444E-02    0.18777E-02
  7  -5           0.27251E-02    0.18647E-02         0.27444E-02    0.18777E-02
  7   6           0.44346E-05   -0.11896E+00         0.43681E-05   -0.11900E+00
  7  -6           0.44346E-05    0.11896E+00         0.43681E-05    0.11900E+00
  7   7          -0.47529E-02   -0.32605E-02        -0.47299E-02   -0.32453E-02
  7  -7           0.47529E-02   -0.32605E-02         0.47299E-02   -0.32453E-02
  8   0           0.53106E-01    0.00000E+00         0.57372E-01   -0.10112E-14
  8   1           0.60287E-03   -0.95551E-03         0.53983E-03   -0.85330E-03
  8  -1          -0.60287E-03   -0.95551E-03        -0.53983E-03   -0.85330E-03
  8   2           0.10523E-03    0.31590E-02         0.11553E-03    0.34991E-02
  8  -2           0.10523E-03   -0.31590E-02         0.11553E-03   -0.34991E-02
  8   3          -0.88036E-03   -0.12320E-02        -0.11229E-02   -0.16014E-02
  8  -3           0.88036E-03   -0.12320E-02         0.11229E-02   -0.16014E-02
  8   4           0.19519E-01    0.87793E-05         0.21119E-01    0.88259E-05
  8  -4           0.19519E-01   -0.87793E-05         0.21119E-01   -0.88259E-05
  8   5          -0.57362E-02    0.86040E-02        -0.61966E-02    0.92890E-02
  8  -5           0.57362E-02    0.86040E-02         0.61966E-02    0.92890E-02
  8   6           0.33129E-03   -0.14489E-02         0.33566E-03   -0.15038E-02
  8  -6           0.33129E-03    0.14489E-02         0.33566E-03    0.15038E-02
  8   7          -0.34186E-02   -0.50660E-02        -0.38978E-02   -0.57906E-02
  8  -7           0.34186E-02   -0.50660E-02         0.38978E-02   -0.57906E-02
  8   8           0.30053E-01   -0.13535E-05         0.32479E-01   -0.20858E-05
  8  -8           0.30053E-01    0.13535E-05         0.32479E-01    0.20858E-05
  8   1           0.60287E-03   -0.95551E-03         0.53983E-03   -0.85330E-03
  8  -1          -0.60287E-03   -0.95551E-03        -0.53983E-03   -0.85330E-03
  8   2           0.10523E-03    0.31590E-02         0.11553E-03    0.34991E-02
  8  -2           0.10523E-03   -0.31590E-02         0.11553E-03   -0.34991E-02
  8   3          -0.88036E-03   -0.12320E-02        -0.11229E-02   -0.16014E-02
  8  -3           0.88036E-03   -0.12320E-02         0.11229E-02   -0.16014E-02
  8   4           0.19519E-01    0.87793E-05         0.21119E-01    0.88259E-05
  8  -4           0.19519E-01   -0.87793E-05         0.21119E-01   -0.88259E-05
  8   5          -0.57362E-02    0.86040E-02        -0.61966E-02    0.92890E-02
  8  -5           0.57362E-02    0.86040E-02         0.61966E-02    0.92890E-02
  8   6           0.33129E-03   -0.14489E-02         0.33566E-03   -0.15038E-02
  8  -6           0.33129E-03    0.14489E-02         0.33566E-03    0.15038E-02
  8   7          -0.34186E-02   -0.50660E-02        -0.38978E-02   -0.57906E-02
  8  -7           0.34186E-02   -0.50660E-02         0.38978E-02   -0.57906E-02
  8   8           0.30053E-01   -0.13535E-05         0.32479E-01   -0.20858E-05
  8  -8           0.30053E-01    0.13535E-05         0.32479E-01    0.20858E-05

          multipole moments for atom type=    2

  l   m                   original                      plane wave
  0   0          -0.52181E+00    0.00000E+00         0.77887E+00   -0.14762E-14
  1   0          -0.16739E-02    0.00000E+00        -0.14158E-02    0.73515E-15
  1   1           0.49427E-02   -0.31576E-02         0.40676E-02   -0.26059E-02
  1  -1          -0.49427E-02   -0.31576E-02        -0.40676E-02   -0.26059E-02
  1   1           0.49427E-02   -0.31576E-02         0.40676E-02   -0.26059E-02
  1  -1          -0.49427E-02   -0.31576E-02        -0.40676E-02   -0.26059E-02
  2   0           0.52586E-03    0.00000E+00         0.50242E-03   -0.33489E-16
  2   1           0.12410E-01   -0.18788E-01         0.11806E-01   -0.17846E-01
  2  -1          -0.12410E-01   -0.18788E-01        -0.11806E-01   -0.17846E-01
  2   2          -0.29244E-03    0.58984E-02        -0.27949E-03    0.56634E-02
  2  -2          -0.29244E-03   -0.58984E-02        -0.27949E-03   -0.56634E-02
  2   1           0.12410E-01   -0.18788E-01         0.11806E-01   -0.17846E-01
  2  -1          -0.12410E-01   -0.18788E-01        -0.11806E-01   -0.17846E-01
  2   2          -0.29244E-03    0.58984E-02        -0.27949E-03    0.56634E-02
  2  -2          -0.29244E-03   -0.58984E-02        -0.27949E-03   -0.56634E-02
  3   0           0.85558E-02    0.00000E+00         0.83062E-02   -0.16316E-15
  3   1           0.10811E-01   -0.72537E-02         0.10429E-01   -0.70031E-02
  3  -1          -0.10811E-01   -0.72537E-02        -0.10429E-01   -0.70031E-02
  3   2           0.56160E-05   -0.47201E+00         0.48059E-05   -0.46482E+00
  3  -2           0.56160E-05    0.47201E+00         0.48059E-05    0.46482E+00
  3   3          -0.13939E-01   -0.93335E-02        -0.13448E-01   -0.90144E-02
  3  -3           0.13939E-01   -0.93335E-02         0.13448E-01   -0.90144E-02
  3   1           0.10811E-01   -0.72537E-02         0.10429E-01   -0.70031E-02
  3  -1          -0.10811E-01   -0.72537E-02        -0.10429E-01   -0.70031E-02
  3   2           0.56160E-05   -0.47201E+00         0.48059E-05   -0.46482E+00
  3  -2           0.56160E-05    0.47201E+00         0.48059E-05    0.46482E+00
  3   3          -0.13939E-01   -0.93335E-02        -0.13448E-01   -0.90144E-02
  3  -3           0.13939E-01   -0.93335E-02         0.13448E-01   -0.90144E-02
  4   0          -0.27475E+00    0.00000E+00        -0.27074E+00    0.27138E-14
  4   1           0.34034E-03   -0.36912E-03         0.40635E-03   -0.47640E-03
  4  -1          -0.34034E-03   -0.36912E-03        -0.40635E-03   -0.47640E-03
  4   2          -0.31687E-03   -0.10879E-02        -0.30770E-03   -0.11472E-02
  4  -2          -0.31687E-03    0.10879E-02        -0.30770E-03    0.11472E-02
  4   3           0.82063E-03    0.93190E-03         0.99985E-03    0.12183E-02
  4  -3          -0.82063E-03    0.93190E-03        -0.99985E-03    0.12183E-02
  4   4          -0.16367E+00   -0.86270E-05        -0.16129E+00   -0.81193E-05
  4  -4          -0.16367E+00    0.86270E-05        -0.16129E+00    0.81193E-05
  4   1           0.34034E-03   -0.36912E-03         0.40635E-03   -0.47640E-03
  4  -1          -0.34034E-03   -0.36912E-03        -0.40635E-03   -0.47640E-03
  4   2          -0.31687E-03   -0.10879E-02        -0.30770E-03   -0.11472E-02
  4  -2          -0.31687E-03    0.10879E-02        -0.30770E-03    0.11472E-02
  4   3           0.82063E-03    0.93190E-03         0.99985E-03    0.12183E-02
  4  -3          -0.82063E-03    0.93190E-03        -0.99985E-03    0.12183E-02
  4   4          -0.16367E+00   -0.86270E-05        -0.16129E+00   -0.81193E-05
  4  -4          -0.16367E+00    0.86270E-05        -0.16129E+00    0.81193E-05
  5   0          -0.53619E-02    0.00000E+00        -0.53026E-02   -0.23434E-14
  5   1          -0.44227E-02    0.27457E-02        -0.42636E-02    0.26426E-02
  5  -1           0.44227E-02    0.27457E-02         0.42636E-02    0.26426E-02
  5   2          -0.78833E-05   -0.62121E-03        -0.77492E-05   -0.60735E-03
  5  -2          -0.78833E-05    0.62121E-03        -0.77492E-05    0.60735E-03
  5   3          -0.17971E-01   -0.11893E-01        -0.17638E-01   -0.11671E-01
  5  -3           0.17971E-01   -0.11893E-01         0.17638E-01   -0.11671E-01
  5   4           0.47145E-02    0.48847E-03         0.46002E-02    0.47750E-03
  5  -4           0.47145E-02   -0.48847E-03         0.46002E-02   -0.47750E-03
  5   5           0.37441E-02   -0.26317E-02         0.37494E-02   -0.26327E-02
  5  -5          -0.37441E-02   -0.26317E-02        -0.37494E-02   -0.26327E-02
  5   1          -0.44227E-02    0.27457E-02        -0.42636E-02    0.26426E-02
  5  -1           0.44227E-02    0.27457E-02         0.42636E-02    0.26426E-02
  5   2          -0.78833E-05   -0.62121E-03        -0.77492E-05   -0.60735E-03
  5  -2          -0.78833E-05    0.62121E-03        -0.77492E-05    0.60735E-03
  5   3          -0.17971E-01   -0.11893E-01        -0.17638E-01   -0.11671E-01
  5  -3           0.17971E-01   -0.11893E-01         0.17638E-01   -0.11671E-01
  5   4           0.47145E-02    0.48847E-03         0.46002E-02    0.47750E-03
  5  -4           0.47145E-02   -0.48847E-03         0.46002E-02   -0.47750E-03
  5   5           0.37441E-02   -0.26317E-02         0.37494E-02   -0.26327E-02
  5  -5          -0.37441E-02   -0.26317E-02        -0.37494E-02   -0.26327E-02
  6   0           0.10393E+00    0.00000E+00         0.10287E+00    0.23469E-14
  6   1          -0.64615E-02    0.98056E-02        -0.64063E-02    0.97235E-02
  6  -1           0.64615E-02    0.98056E-02         0.64063E-02    0.97235E-02
  6   2           0.12013E-03   -0.61424E-02         0.11904E-03   -0.60804E-02
  6  -2           0.12013E-03    0.61424E-02         0.11904E-03    0.60804E-02
  6   3          -0.43400E-02   -0.63014E-02        -0.42990E-02   -0.62427E-02
  6  -3           0.43400E-02   -0.63014E-02         0.42990E-02   -0.62427E-02
  6   4          -0.19521E+00   -0.56121E-05        -0.19323E+00   -0.57174E-05
  6  -4          -0.19521E+00    0.56121E-05        -0.19323E+00    0.57174E-05
  6   5          -0.98105E-02    0.14584E-01        -0.97212E-02    0.14454E-01
  6  -5           0.98105E-02    0.14584E-01         0.97212E-02    0.14454E-01
  6   6           0.17777E-03   -0.20925E-02         0.17615E-03   -0.20725E-02
  6  -6           0.17777E-03    0.20925E-02         0.17615E-03    0.20725E-02
  6   1          -0.64615E-02    0.98056E-02        -0.64063E-02    0.97235E-02
  6  -1           0.64615E-02    0.98056E-02         0.64063E-02    0.97235E-02
  6   2           0.12013E-03   -0.61424E-02         0.11904E-03   -0.60804E-02
  6  -2           0.12013E-03    0.61424E-02         0.11904E-03    0.60804E-02
  6   3          -0.43400E-02   -0.63014E-02        -0.42990E-02   -0.62427E-02
  6  -3           0.43400E-02   -0.63014E-02         0.42990E-02   -0.62427E-02
  6   4          -0.19521E+00   -0.56121E-05        -0.19323E+00   -0.57174E-05
  6  -4          -0.19521E+00    0.56121E-05        -0.19323E+00    0.57174E-05
  6   5          -0.98105E-02    0.14584E-01        -0.97212E-02    0.14454E-01
  6  -5           0.98105E-02    0.14584E-01         0.97212E-02    0.14454E-01
  6   6           0.17777E-03   -0.20925E-02         0.17615E-03   -0.20725E-02
  6  -6           0.17777E-03    0.20925E-02         0.17615E-03    0.20725E-02
  7   0          -0.24944E-02    0.00000E+00        -0.24779E-02   -0.36297E-15
  7   1          -0.52073E-02    0.35798E-02        -0.51934E-02    0.35705E-02
  7  -1           0.52073E-02    0.35798E-02         0.51934E-02    0.35705E-02
  7   2          -0.24441E-05    0.12999E+00        -0.24336E-05    0.13004E+00
  7  -2          -0.24441E-05   -0.12999E+00        -0.24336E-05   -0.13004E+00
  7   3           0.12776E-02    0.87345E-03         0.12618E-02    0.86299E-03
  7  -3          -0.12776E-02    0.87345E-03        -0.12618E-02    0.86299E-03
  7   4          -0.24614E-02    0.36383E-03        -0.24619E-02    0.36473E-03
  7  -4          -0.24614E-02   -0.36383E-03        -0.24619E-02   -0.36473E-03
  7   5           0.27270E-02   -0.18647E-02         0.27463E-02   -0.18777E-02
  7  -5          -0.27270E-02   -0.18647E-02        -0.27463E-02   -0.18777E-02
  7   6          -0.44588E-05    0.11896E+00        -0.43905E-05    0.11900E+00
  7  -6          -0.44588E-05   -0.11896E+00        -0.43905E-05   -0.11900E+00
  7   7           0.47529E-02    0.32603E-02         0.47299E-02    0.32451E-02
  7  -7          -0.47529E-02    0.32603E-02        -0.47299E-02    0.32451E-02
  7   1          -0.52073E-02    0.35798E-02        -0.51934E-02    0.35705E-02
  7  -1           0.52073E-02    0.35798E-02         0.51934E-02    0.35705E-02
  7   2          -0.24441E-05    0.12999E+00        -0.24336E-05    0.13004E+00
  7  -2          -0.24441E-05   -0.12999E+00        -0.24336E-05   -0.13004E+00
  7   3           0.12776E-02    0.87345E-03         0.12618E-02    0.86299E-03
  7  -3          -0.12776E-02    0.87345E-03        -0.12618E-02    0.86299E-03
  7   4          -0.24614E-02    0.36383E-03        -0.24619E-02    0.36473E-03
  7  -4          -0.24614E-02   -0.36383E-03        -0.24619E-02   -0.36473E-03
  7   5           0.27270E-02   -0.18647E-02         0.27463E-02   -0.18777E-02
  7  -5          -0.27270E-02   -0.18647E-02        -0.27463E-02   -0.18777E-02
  7   6          -0.44588E-05    0.11896E+00        -0.43905E-05    0.11900E+00
  7  -6          -0.44588E-05   -0.11896E+00        -0.43905E-05   -0.11900E+00
  7   7           0.47529E-02    0.32603E-02         0.47299E-02    0.32451E-02
  7  -7          -0.47529E-02    0.32603E-02        -0.47299E-02    0.32451E-02
  8   0           0.53106E-01    0.00000E+00         0.57371E-01   -0.10138E-13
  8   1           0.60284E-03   -0.95612E-03         0.53980E-03   -0.85395E-03
  8  -1          -0.60284E-03   -0.95612E-03        -0.53980E-03   -0.85395E-03
  8   2           0.10526E-03    0.31593E-02         0.11561E-03    0.34994E-02
  8  -2           0.10526E-03   -0.31593E-02         0.11561E-03   -0.34994E-02
  8   3          -0.88038E-03   -0.12324E-02        -0.11229E-02   -0.16019E-02
  8  -3           0.88038E-03   -0.12324E-02         0.11229E-02   -0.16019E-02
  8   4           0.19519E-01    0.89370E-05         0.21119E-01    0.90015E-05
  8  -4           0.19519E-01   -0.89370E-05         0.21119E-01   -0.90015E-05
  8   5          -0.57363E-02    0.86032E-02        -0.61967E-02    0.92881E-02
  8  -5           0.57363E-02    0.86032E-02         0.61967E-02    0.92881E-02
  8   6           0.33165E-03   -0.14491E-02         0.33601E-03   -0.15039E-02
  8  -6           0.33165E-03    0.14491E-02         0.33601E-03    0.15039E-02
  8   7          -0.34186E-02   -0.50645E-02        -0.38978E-02   -0.57891E-02
  8  -7           0.34186E-02   -0.50645E-02         0.38978E-02   -0.57891E-02
  8   8           0.30053E-01   -0.14159E-05         0.32479E-01   -0.21506E-05
  8  -8           0.30053E-01    0.14159E-05         0.32479E-01    0.21506E-05
  8   1           0.60284E-03   -0.95612E-03         0.53980E-03   -0.85395E-03
  8  -1          -0.60284E-03   -0.95612E-03        -0.53980E-03   -0.85395E-03
  8   2           0.10526E-03    0.31593E-02         0.11561E-03    0.34994E-02
  8  -2           0.10526E-03   -0.31593E-02         0.11561E-03   -0.34994E-02
  8   3          -0.88038E-03   -0.12324E-02        -0.11229E-02   -0.16019E-02
  8  -3           0.88038E-03   -0.12324E-02         0.11229E-02   -0.16019E-02
  8   4           0.19519E-01    0.89370E-05         0.21119E-01    0.90015E-05
  8  -4           0.19519E-01   -0.89370E-05         0.21119E-01   -0.90015E-05
  8   5          -0.57363E-02    0.86032E-02        -0.61967E-02    0.92881E-02
  8  -5           0.57363E-02    0.86032E-02         0.61967E-02    0.92881E-02
  8   6           0.33165E-03   -0.14491E-02         0.33601E-03   -0.15039E-02
  8  -6           0.33165E-03    0.14491E-02         0.33601E-03    0.15039E-02
  8   7          -0.34186E-02   -0.50645E-02        -0.38978E-02   -0.57891E-02
  8  -7           0.34186E-02   -0.50645E-02         0.38978E-02   -0.57891E-02
  8   8           0.30053E-01   -0.14159E-05         0.32479E-01   -0.21506E-05
  8  -8           0.30053E-01    0.14159E-05         0.32479E-01    0.21506E-05

          integral of pseudo charge density inside the slab=        0.000000   0.000000

     coulomb potential in the interstitial region:

          density-coulomb potential integrals


          interstitial :                       0.7802325440

          muffin tin spheres :              -845.1789649400

          total density-coulomb potenti     -844.3987323960
 wrtdop title:alpha Si                                                                ordered*

     interstitial potential average (vbar) = -0.027897

 999idsprs in starting of nmtxad= 0

          density-effective potential integrals for spin  1


          interstitial :                      -0.4750096500

          muffin tin spheres :              -897.8341910756

          total density-effective poten     -898.3092007256

          charge density-energy density integrals


          interstitial :                      -0.9792861569

          muffin tin spheres :               -40.7654634416

          total charge density-energy d      -41.7447495985
 vgen: pottot deleted
 wrtdop title:alpha Si                                                                ordered*
 IT=   6  ISEC1=  99 standard diagonalization
  Atom  1 3s branch from -4.72 to  1.07 htr. ; e_l = -0.1340
  Atom  1 3p branch from -3.11 to  1.55 htr. ; e_l =  0.0501
  Atom  1 3d branch from -9.99 to  1.95 htr. ; e_l =  0.2440
  Atom  1 4f branch from -9.99 to  4.11 htr. ; e_l =  0.4118
  Atom  2 3s branch from -4.72 to  1.07 htr. ; e_l = -0.1340
  Atom  2 3p branch from -3.11 to  1.55 htr. ; e_l =  0.0501
  Atom  2 3d branch from -9.99 to  1.95 htr. ; e_l =  0.2440
  Atom  2 4f branch from -9.99 to  4.11 htr. ; e_l =  0.4118


 wavefunction parameters for atom type  1:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.13395        4.7801586E-01  -2.4463786E-01    2       -3.1232305E-01  -7.4530066E-01    2   1.0766282E-01   4.3267158E-01
  1   0.05012       -5.5349722E-01   9.9398691E-02    1        2.6598969E-01   7.3396504E-01    2   7.9518203E-02   4.3268664E-01
  2   0.24399        6.4440302E-01   1.6346697E-01    0       -2.3289146E-01  -7.3052762E-01    1   6.5174840E-02   4.3268414E-01
  3   0.41177        8.3800486E-01   7.5546527E-01    0       -1.2158312E-01  -6.2592781E-01    1   1.3121797E-02   4.3267873E-01
  4   0.41177        9.7736625E-01   1.4626933E+00    0       -8.2131903E-02  -5.6560371E-01    1   4.9165923E-03   4.3266820E-01
  5   0.41177        1.0889908E+00   2.2153929E+00    0       -6.1660613E-02  -5.2273902E-01    1   2.3795145E-03   4.3265549E-01
  6   0.41177        1.1859754E+00   3.0206311E+00    0       -4.8925068E-02  -4.8940728E-01    1   1.3189661E-03   4.3264038E-01
  7   0.41177        1.2734329E+00   3.8786723E+00    0       -4.0219824E-02  -4.6223270E-01    1   7.9808166E-04   4.3262283E-01
  8   0.41177        1.3539871E+00   4.7881105E+00    0       -3.3904738E-02  -4.3940036E-01    1   5.1413166E-04   4.3260278E-01


 wavefunction parameters for atom type  2:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.13395        4.7801585E-01  -2.4463787E-01    2       -3.1232305E-01  -7.4530066E-01    2   1.0766282E-01   4.3267158E-01
  1   0.05012       -5.5349722E-01   9.9398701E-02    1        2.6598969E-01   7.3396504E-01    2   7.9518205E-02   4.3268664E-01
  2   0.24399        6.4440301E-01   1.6346696E-01    0       -2.3289147E-01  -7.3052763E-01    1   6.5174841E-02   4.3268414E-01
  3   0.41177        8.3800486E-01   7.5546526E-01    0       -1.2158312E-01  -6.2592781E-01    1   1.3121797E-02   4.3267873E-01
  4   0.41177        9.7736625E-01   1.4626933E+00    0       -8.2131903E-02  -5.6560371E-01    1   4.9165923E-03   4.3266820E-01
  5   0.41177        1.0889908E+00   2.2153929E+00    0       -6.1660613E-02  -5.2273902E-01    1   2.3795145E-03   4.3265549E-01
  6   0.41177        1.1859754E+00   3.0206311E+00    0       -4.8925068E-02  -4.8940728E-01    1   1.3189661E-03   4.3264038E-01
  7   0.41177        1.2734329E+00   3.8786723E+00    0       -4.0219824E-02  -4.6223270E-01    1   7.9808166E-04   4.3262283E-01
  8   0.41177        1.3539871E+00   4.7881105E+00    0       -3.3904738E-02  -4.3940036E-01    1   5.1413166E-04   4.3260278E-01


 k=(    0.444444    0.444444    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.153150   -0.031190    0.159451    0.164024    0.258683
         0.324657    0.329953    0.487739


 k=(    0.333333    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155679   -0.016526    0.134529    0.147271    0.282855
         0.327120    0.355515    0.456918


 k=(    0.222222    0.444444    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149478   -0.001416    0.095682    0.126974    0.263673
         0.363175    0.395760    0.410794


 k=(    0.111111    0.444444    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133755   -0.013459    0.094362    0.110580    0.240105
         0.284645    0.479344    0.481315


 k=(    0.000000    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.108916   -0.046340    0.102399    0.107714    0.228054
         0.244499    0.544589    0.545384


 k=(   -0.111111    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.085459   -0.069767    0.085832    0.103708    0.233562
         0.270622    0.542753    0.551725


 k=(    0.222222    0.555556    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107636   -0.042735    0.061617    0.114305    0.246385
         0.343069    0.468600    0.471807


 k=(    0.333333    0.555556    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128101   -0.032707    0.076775    0.132323    0.268803
         0.386941    0.397839    0.434919


 k=(    0.555556    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143441   -0.035675    0.125287    0.151999    0.282928
         0.327870    0.346613    0.501258


 k=(    0.444444    0.333333    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155721   -0.016335    0.132601    0.149067    0.283331
         0.328104    0.353811    0.455820


 k=(    0.333333    0.333333    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165015   -0.000007    0.121413    0.167103    0.290286
         0.337004    0.339326    0.476583


 k=(    0.222222    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164505    0.017793    0.096504    0.146966    0.304085
         0.336338    0.384400    0.403253


 k=(    0.111111    0.333333    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153653    0.012769    0.095061    0.119121    0.273346
         0.310860    0.402827    0.466593


 k=(    0.000000    0.333333    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132771   -0.016219    0.090716    0.116109    0.245317
         0.279295    0.480075    0.483818


 k=(   -0.111111    0.333333    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104025   -0.048372    0.083818    0.094400    0.265707
         0.280026    0.470736    0.536074


 k=(   -0.222222    0.333333    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.089884   -0.059185    0.061421    0.092721    0.277110
         0.343776    0.449112    0.458177


 k=(    0.666667    0.333333    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114234   -0.035764    0.057410    0.109707    0.295024
         0.369643    0.431943    0.447819


 k=(    0.555556    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138004   -0.025600    0.090786    0.132880    0.309009
         0.319172    0.402907    0.446770


 k=(    0.444444    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149538   -0.000924    0.093867    0.128267    0.264955
         0.361860    0.395767    0.409525


 k=(    0.333333    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164513    0.018006    0.095701    0.147649    0.304434
         0.337172    0.383757    0.401302


 k=(    0.222222    0.222222    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169307    0.026977    0.085314    0.166458    0.303775
         0.364826    0.374889    0.419139


 k=(    0.111111    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163492    0.011953    0.101006    0.146796    0.310964
         0.336059    0.378102    0.407422


 k=(    0.000000    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147376   -0.008985    0.095012    0.133107    0.270690
         0.356126    0.397683    0.412358


 k=(   -0.111111    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122308   -0.030652    0.069281    0.113340    0.291094
         0.346735    0.390379    0.479210


 k=(   -0.222222    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.093289   -0.054880    0.059342    0.085666    0.343792
         0.355388    0.374730    0.436303


 k=(    0.666667    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.097412   -0.048649    0.061615    0.081014    0.346151
         0.350119    0.373453    0.440645


 k=(    0.555556    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125807   -0.022025    0.070817    0.106003    0.286425
         0.351741    0.385363    0.480743


 k=(    0.444444    0.111111    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133787   -0.013266    0.093069    0.111633    0.241216
         0.283632    0.478438    0.480984


 k=(    0.333333    0.111111    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153630    0.012585    0.095302    0.119099    0.273520
         0.310584    0.402873    0.466409


 k=(    0.222222    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163464    0.011642    0.101917    0.146173    0.310560
         0.335301    0.378718    0.409168


 k=(    0.111111    0.111111    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162887   -0.008536    0.128890    0.164748    0.292800
         0.338648    0.348996    0.472842


 k=(    0.000000    0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152344   -0.026364    0.133521    0.154636    0.287921
         0.333227    0.355879    0.450078


 k=(   -0.111111    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133200   -0.037252    0.089892    0.141467    0.310676
         0.328780    0.400508    0.440807


 k=(   -0.222222    0.111111    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108003   -0.047466    0.056488    0.116608    0.300784
         0.373592    0.424653    0.444561


 k=(    0.666667    0.111111    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.083516   -0.066720    0.057513    0.097791    0.283063
         0.337920    0.447337    0.459076


 k=(    0.555556    0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105821   -0.045161    0.084762    0.091619    0.267601
         0.278672    0.465248    0.535559


 k=(    0.444444    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.108771   -0.046639    0.103358    0.106992    0.228491
         0.243965    0.544716    0.545223


 k=(    0.333333    0.000000    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132634   -0.016818    0.092178    0.115325    0.244296
         0.280040    0.480004    0.485131


 k=(    0.222222    0.000000    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147268   -0.009615    0.096673    0.132165    0.269323
         0.357208    0.397470    0.414055


 k=(    0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152284   -0.026589    0.134802    0.153572    0.287446
         0.331660    0.358092    0.451202


 k=(    0.000000    0.000000    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.148514   -0.042465    0.160203    0.169267    0.262247
         0.326492    0.337245    0.491921


 k=(   -0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137843   -0.048062    0.125784    0.158423    0.287162
         0.332455    0.348820    0.505726


 k=(    0.222222    0.000000    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122374   -0.045013    0.078016    0.137802    0.274829
         0.389084    0.399701    0.428556


 k=(    0.333333    0.000000    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.102546   -0.051137    0.059963    0.119239    0.252311
         0.337348    0.468711    0.474320


 k=(    0.555556    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.078342   -0.077231    0.081366    0.108367    0.239553
         0.264844    0.538669    0.551524


 k=(    0.444444   -0.111111    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.083974   -0.071441    0.085058    0.104680    0.234778
         0.269391    0.541853    0.551837


 k=(    0.333333   -0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103470   -0.049369    0.084314    0.094482    0.265913
         0.279641    0.471866    0.536211


 k=(    0.222222   -0.111111    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122001   -0.031540    0.070060    0.113334    0.289629
         0.348040    0.391445    0.479387


 k=(    0.111111   -0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133034   -0.037632    0.089850    0.141856    0.309930
         0.329444    0.400312    0.441969


 k=(    0.000000   -0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137785   -0.048128    0.124601    0.159786    0.287619
         0.334014    0.346347    0.505580


 k=(    0.111111    0.111111    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.138022   -0.047868    0.130585    0.152962    0.285961
         0.330371    0.353531    0.506352


 k=(    0.222222    0.111111    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133720   -0.036667    0.095476    0.134864    0.314042
         0.321142    0.407517    0.441376


 k=(    0.333333    0.111111    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123114   -0.029237    0.072801    0.108676    0.290800
         0.347919    0.386460    0.483900


 k=(    0.444444    0.111111    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105036   -0.046615    0.084914    0.092328    0.267023
         0.278996    0.467598    0.535964


 k=(    0.555556    0.222222    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107370   -0.043008    0.060490    0.115399    0.247666
         0.341820    0.466997    0.471987


 k=(    0.333333   -0.222222    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.088691   -0.060698    0.060699    0.093774    0.278327
         0.342521    0.448334    0.458837


 k=(    0.222222   -0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.092222   -0.056418    0.059149    0.086387    0.344391
         0.355154    0.375176    0.435448


 k=(    0.111111   -0.222222    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.107629   -0.048001    0.055988    0.117261    0.302262
         0.371848    0.424212    0.444660


 k=(    0.000000    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122286   -0.044980    0.076801    0.138870    0.276287
         0.388555    0.397721    0.428292


 k=(    0.111111    0.222222    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133715   -0.036532    0.094078    0.136231    0.313800
         0.322579    0.405817    0.440370


 k=(    0.222222    0.222222    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139028   -0.021512    0.074286    0.147484    0.284946
         0.388393    0.391152    0.464202


 k=(    0.333333    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136324   -0.012433    0.063012    0.127648    0.315671
         0.353400    0.384374    0.457908


 k=(    0.444444    0.222222    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125274   -0.023306    0.069504    0.108445    0.285879
         0.351717    0.388030    0.477994


 k=(    0.555556    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.127982   -0.032740    0.075381    0.133692    0.270127
         0.386034    0.396341    0.434598


 k=(    0.333333    0.666667    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113920   -0.036285    0.056794    0.110551    0.296408
         0.368007    0.431142    0.448289


 k=(    0.222222    0.666667    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.096695   -0.049775    0.061070    0.082013    0.345067
         0.351827    0.373701    0.439737


 k=(    0.111111    0.666667    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.081956   -0.068415    0.056764    0.098632    0.284365
         0.336702    0.447419    0.458804


 k=(    0.000000    0.333333    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.102468   -0.051010    0.058773    0.120081    0.253705
         0.336167    0.467622    0.473870


 k=(    0.111111    0.333333    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123141   -0.028922    0.071276    0.109888    0.292037
         0.346616    0.386641    0.482466


 k=(    0.222222    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136343   -0.012343    0.062943    0.127619    0.315791
         0.353022    0.384687    0.458158


 k=(    0.333333    0.333333    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141022   -0.014327    0.068640    0.148346    0.285150
         0.382729    0.384239    0.470246


 k=(    0.444444    0.333333    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137686   -0.026092    0.087857    0.136556    0.306959
         0.323412    0.399068    0.446944


 k=(    0.444444    0.555556    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143387   -0.035735    0.123663    0.153857    0.283369
         0.328698    0.344843    0.501183


 k=(    0.333333    0.555556    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137878   -0.025925    0.090626    0.133361    0.307854
         0.320260    0.402773    0.447866


 k=(    0.222222    0.555556    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125609   -0.022693    0.071510    0.105919    0.284999
         0.353234    0.386301    0.480860


 k=(    0.111111    0.555556    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105572   -0.045593    0.084158    0.092453    0.266754
         0.279466    0.466368    0.535590


 k=(    0.000000    0.555556    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.079329   -0.076143    0.080408    0.109104    0.240875
         0.263673    0.537702    0.551349


 k=(    0.111111    0.444444    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105181   -0.046318    0.084300    0.092739    0.266487
         0.279612    0.467543    0.535773


 k=(    0.222222    0.444444    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125343   -0.023330    0.070830    0.107157    0.284744
         0.353209    0.387640    0.479448


 k=(    0.333333    0.444444    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137720   -0.026172    0.089155    0.135194    0.306920
         0.322311    0.400820    0.447962


 k=(    0.444444    0.444444    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143334   -0.035795    0.122272    0.155460    0.283831
         0.330073    0.342515    0.501144


 k=(    0.444444    0.444444    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155765   -0.016131    0.131042    0.150461    0.283818
         0.329443    0.351740    0.454757


 k=(    0.333333    0.444444    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165117    0.000304    0.122567    0.165306    0.289929
         0.335752    0.341587    0.475959


 k=(    0.222222    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164664    0.018474    0.097419    0.145123    0.304893
         0.334498    0.384501    0.404829


 k=(    0.111111    0.444444    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153876    0.014019    0.094719    0.118155    0.273717
         0.310865    0.401476    0.466822


 k=(    0.000000    0.444444    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133074   -0.015165    0.089723    0.116171    0.245530
         0.279311    0.479156    0.482571


 k=(   -0.111111    0.444444    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104421   -0.047667    0.083704    0.094120    0.265968
         0.279866    0.469623    0.536049


 k=(   -0.222222    0.444444    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.089836   -0.059255    0.061452    0.092720    0.277104
         0.343754    0.449498    0.457877


 k=(    0.666667    0.444444    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114113   -0.035915    0.056878    0.110362    0.294921
         0.370568    0.432395    0.446855


 k=(    0.555556    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137976   -0.025503    0.089393    0.134301    0.308898
         0.320457    0.401054    0.445848


 k=(    0.444444    0.333333    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165218    0.000601    0.123921    0.163306    0.289607
         0.335500    0.342828    0.475705


 k=(    0.333333    0.333333    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.179832    0.017606    0.165575    0.170168    0.265865
         0.329563    0.334743    0.490786


 k=(    0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184007    0.039554    0.149184    0.151022    0.287576
         0.330716    0.364962    0.405098


 k=(    0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177225    0.049719    0.123038    0.130468    0.258704
         0.324953    0.404746    0.417202


 k=(    0.000000    0.333333    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159680    0.022552    0.116107    0.121924    0.233527
         0.280643    0.469699    0.469897


 k=(   -0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132874   -0.016475    0.097256    0.110405    0.239532
         0.284434    0.481109    0.485945


 k=(   -0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.105372   -0.047228    0.064211    0.114118    0.246158
         0.343039    0.472707    0.473939


 k=(    0.666667    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.113654   -0.035992    0.048784    0.126652    0.260498
         0.422416    0.445273    0.458830


 k=(    0.555556    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141662   -0.012755    0.070136    0.145466    0.282410
         0.384374    0.386972    0.469711


 k=(    0.444444    0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164830    0.019348    0.097637    0.143854    0.306193
         0.333367    0.383900    0.404514


 k=(    0.333333    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184052    0.039933    0.147234    0.152489    0.287970
         0.331919    0.363426    0.403823


 k=(    0.222222    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192765    0.061335    0.130232    0.182678    0.301772
         0.331908    0.343522    0.429036


 k=(    0.111111    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190305    0.068583    0.120807    0.162292    0.293408
         0.343640    0.367265    0.389005


 k=(    0.000000    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176726    0.045163    0.121239    0.136788    0.261721
         0.321138    0.406792    0.419319


 k=(   -0.111111    0.222222    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152991    0.009387    0.095025    0.122750    0.272239
         0.310713    0.406699    0.466525


 k=(   -0.222222    0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123329   -0.028958    0.073896    0.108066    0.284218
         0.353806    0.390027    0.482925


 k=(    0.666667    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.111956   -0.040832    0.059735    0.110261    0.294680
         0.375002    0.427991    0.446767


 k=(    0.555556    0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137330   -0.009122    0.062918    0.125048    0.312959
         0.354348    0.384647    0.458830


 k=(    0.444444    0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154074    0.015081    0.094775    0.117002    0.274287
         0.310598    0.400162    0.466931


 k=(    0.333333    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177268    0.050295    0.121070    0.131756    0.259488
         0.324403    0.404391    0.416282


 k=(    0.222222    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190300    0.068446    0.120934    0.162363    0.293451
         0.343710    0.367054    0.388812


 k=(    0.111111    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192209    0.054935    0.136755    0.181115    0.304877
         0.338728    0.343409    0.424862


 k=(    0.000000    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182903    0.031886    0.148732    0.158114    0.292723
         0.335565    0.365992    0.398198


 k=(   -0.111111    0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163007    0.010174    0.097955    0.152401    0.308063
         0.341658    0.378104    0.403037


 k=(   -0.222222    0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134827   -0.016842    0.062566    0.131586    0.319328
         0.351983    0.384251    0.457674


 k=(   -0.333333    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110266   -0.043395    0.056601    0.114356    0.301428
         0.367057    0.425622    0.447235


 k=(    0.555556    0.111111    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.124529   -0.025278    0.070348    0.108351    0.291202
         0.347320    0.384865    0.481764


 k=(    0.444444    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133239   -0.014728    0.090207    0.115444    0.244715
         0.280092    0.478112    0.482706


 k=(    0.333333    0.000000    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159655    0.022325    0.117163    0.121159    0.233669
         0.280392    0.469541    0.469894


 k=(    0.222222    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176658    0.044294    0.123134    0.135991    0.261095
         0.321302    0.406823    0.420498


 k=(    0.111111    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182848    0.031455    0.149586    0.157877    0.292365
         0.333898    0.367836    0.399451


 k=(    0.000000    0.000000    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.177994    0.008724    0.166771    0.175867    0.269734
         0.331402    0.341813    0.491604


 k=(   -0.111111    0.000000    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162560   -0.009422    0.124943    0.170614    0.293624
         0.337925    0.346885    0.472920


 k=(   -0.222222    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138009   -0.023696    0.071784    0.151889    0.288610
         0.384304    0.389153    0.464794


 k=(   -0.333333    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.109162   -0.043982    0.046805    0.132355    0.266781
         0.415520    0.439016    0.463487


 k=(    0.555556    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104347   -0.047825    0.058218    0.119370    0.252464
         0.337291    0.465726    0.473317


 k=(    0.444444   -0.111111    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104269   -0.047968    0.084199    0.093826    0.266465
         0.279288    0.469684    0.536244


 k=(    0.333333   -0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132603   -0.017315    0.096935    0.111400    0.240439
         0.283385    0.481289    0.486682


 k=(    0.222222   -0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152741    0.008079    0.095491    0.123673    0.272060
         0.310428    0.408016    0.466440


 k=(    0.111111   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162814    0.009232    0.098020    0.153473    0.306973
         0.342485    0.378684    0.403401


 k=(    0.000000   -0.111111    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162447   -0.009746    0.123985    0.172201    0.293987
         0.338083    0.345728    0.473959


 k=(   -0.111111   -0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152121   -0.027190    0.140590    0.148251    0.286121
         0.328762    0.362809    0.454764


 k=(   -0.222222   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133256   -0.037696    0.094915    0.136380    0.310465
         0.324409    0.406710    0.445286


 k=(   -0.333333   -0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108451   -0.047078    0.058582    0.114253    0.301185
         0.370329    0.422586    0.447726


 k=(    0.555556   -0.111111    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.083260   -0.067035    0.057584    0.097797    0.283044
         0.337871    0.448117    0.458521


 k=(    0.444444   -0.222222    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.088548   -0.060901    0.060779    0.093772    0.278311
         0.342464    0.449261    0.458136


 k=(    0.333333   -0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104230   -0.049123    0.063949    0.115147    0.247362
         0.341811    0.472539    0.474701


 k=(    0.222222   -0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122545   -0.030838    0.073676    0.109533    0.285201
         0.352614    0.391135    0.482622


 k=(    0.111111   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134284   -0.018457    0.062691    0.132710    0.320874
         0.351456    0.383972    0.457287


 k=(    0.000000   -0.222222    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.137658   -0.024477    0.071167    0.153108    0.290088
         0.383030    0.388192    0.465444


 k=(   -0.111111   -0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133085   -0.037941    0.093503    0.138106    0.309720
         0.326268    0.404827    0.445428


 k=(   -0.222222   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122692   -0.045007    0.082181    0.133809    0.271072
         0.391115    0.404021    0.430175


 k=(    0.333333    0.222222    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109533   -0.045534    0.060579    0.111732    0.297306
         0.374876    0.423483    0.448181


 k=(    0.444444    0.222222    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.095695   -0.051386    0.061016    0.082763    0.346821
         0.350207    0.374324    0.439070


 k=(    0.444444    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113663   -0.036620    0.055780    0.111838    0.296168
         0.369840    0.431976    0.446656


 k=(    0.333333    0.666667    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.112779   -0.037654    0.048443    0.127837    0.261775
         0.420733    0.443901    0.459649


 k=(    0.222222    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110690   -0.043215    0.059534    0.111676    0.295884
         0.375834    0.426257    0.446283


 k=(    0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108935   -0.045800    0.056528    0.115572    0.302732
         0.367773    0.424189    0.446453


 k=(    0.000000   -0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.108194   -0.045596    0.046491    0.133283    0.268194
         0.414139    0.437641    0.465405


 k=(   -0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.107993   -0.047662    0.057502    0.115515    0.302619
         0.369429    0.422670    0.446678


 k=(    0.222222    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109447   -0.045583    0.059983    0.112355    0.297252
         0.375737    0.423967    0.447045


 k=(    0.333333    0.333333    0.666667):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.111883   -0.039330    0.048170    0.128901    0.263152
         0.418948    0.442431    0.460998


 k=(    0.444444    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113346   -0.037148    0.055254    0.112580    0.297642
         0.368101    0.431035    0.447346


 k=(    0.444444    0.555556    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137816   -0.025748    0.087939    0.136138    0.307832
         0.322596    0.399169    0.445924


 k=(    0.333333    0.555556    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141344   -0.013528    0.069329    0.146973    0.283717
         0.383305    0.385902    0.469763


 k=(    0.222222    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136849   -0.010685    0.062849    0.126381    0.314315
         0.353628    0.384785    0.458603


 k=(    0.111111    0.555556    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123856   -0.026937    0.070042    0.109743    0.292232
         0.346294    0.385860    0.481398


 k=(    0.000000    0.555556    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103396   -0.049324    0.057899    0.120148    0.253781
         0.336130    0.466094    0.473424


 k=(   -0.111111    0.555556    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.081835   -0.068557    0.056791    0.098635    0.284357
         0.336684    0.447704    0.458603


 k=(    0.222222    0.444444    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.095837   -0.051133    0.060810    0.082832    0.345544
         0.351737    0.374140    0.438922


 k=(    0.333333    0.444444    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113482   -0.036965    0.055738    0.111946    0.297781
         0.367191    0.430657    0.448012


 k=(    0.555556    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.127871   -0.032755    0.074082    0.134919    0.271552
         0.385275    0.394534    0.434395


 k=(    0.444444    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149605   -0.000377    0.092139    0.129389    0.266316
         0.360412    0.396203    0.407921


 k=(    0.333333    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164684    0.018940    0.095725    0.146516    0.305621
         0.336117    0.383158    0.401044


 k=(    0.222222    0.444444    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169581    0.028718    0.085012    0.164911    0.302366
         0.366415    0.374211    0.419683


 k=(    0.111111    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163882    0.014070    0.099980    0.145859    0.310747
         0.335255    0.378639    0.406043


 k=(    0.000000    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147912   -0.006792    0.093012    0.133316    0.270798
         0.356091    0.397319    0.410431


 k=(   -0.111111    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123032   -0.028706    0.068117    0.113188    0.291248
         0.346419    0.389643    0.478083


 k=(   -0.222222    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.094173   -0.053592    0.059631    0.084937    0.343462
         0.355153    0.374427    0.437260


 k=(    0.666667    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.097335   -0.048794    0.061752    0.080960    0.347763
         0.348371    0.373544    0.440740


 k=(    0.555556    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125757   -0.021932    0.069413    0.107296    0.287657
         0.350154    0.385765    0.479307


 k=(    0.444444    0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164842    0.019601    0.096739    0.144570    0.306573
         0.334150    0.383209    0.402673


 k=(    0.333333    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184098    0.040346    0.145846    0.153341    0.288355
         0.333400    0.361617    0.402582


 k=(    0.222222    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192847    0.062050    0.130951    0.180691    0.301482
         0.333689    0.342528    0.428645


 k=(    0.111111    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190427    0.070320    0.120332    0.160659    0.293827
         0.343144    0.366601    0.389286


 k=(    0.000000    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176895    0.046974    0.119140    0.136908    0.261929
         0.321459    0.406026    0.417766


 k=(   -0.111111    0.333333    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153216    0.010570    0.094649    0.121900    0.272581
         0.310721    0.405403    0.466513


 k=(   -0.222222    0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123601   -0.028365    0.074640    0.106832    0.284442
         0.353802    0.388762    0.484289


 k=(    0.666667    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.112048   -0.040761    0.060338    0.109610    0.294737
         0.374092    0.427484    0.448022


 k=(    0.555556    0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137319   -0.009179    0.062964    0.125065    0.312899
         0.354569    0.384447    0.458693


 k=(    0.444444    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169850    0.030434    0.084841    0.163216    0.301139
         0.367839    0.373653    0.420189


 k=(    0.333333    0.222222    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192928    0.062715    0.131910    0.178499    0.301277
         0.336006    0.340947    0.428368


 k=(    0.222222    0.222222    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205752    0.086583    0.177149    0.181893    0.279115
         0.328129    0.332608    0.438991


 k=(    0.111111    0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207291    0.108138    0.160661    0.168244    0.285455
         0.332503    0.359422    0.385790


 k=(    0.000000    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197406    0.094562    0.142371    0.149505    0.254430
         0.336447    0.397281    0.398239


 k=(   -0.111111    0.222222    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176728    0.044594    0.128979    0.130262    0.258010
         0.323748    0.407233    0.421806


 k=(   -0.222222    0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147941   -0.007858    0.101687    0.126390    0.263269
         0.362347    0.397757    0.416623


 k=(   -0.333333    0.222222    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.125170   -0.039916    0.081681    0.131678    0.268506
         0.390026    0.403515    0.432929


 k=(    0.555556    0.222222    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.140512   -0.017112    0.073622    0.144969    0.282281
         0.387023    0.391746    0.466523


 k=(    0.444444    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164241    0.015873    0.100001    0.144132    0.310342
         0.333547    0.379789    0.406393


 k=(    0.333333    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190542    0.071904    0.120192    0.158883    0.294359
         0.342631    0.365787    0.389425


 k=(    0.222222    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207314    0.108747    0.161712    0.166392    0.285748
         0.333273    0.358291    0.385101


 k=(    0.111111    0.111111    0.222222):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212926    0.121922    0.157269    0.195859    0.312880
         0.317224    0.323077    0.399260


 k=(    0.000000    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207018    0.101076    0.165731    0.170768    0.287446
         0.334564    0.359082    0.384643


 k=(   -0.111111    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189941    0.064174    0.120960    0.167763    0.292064
         0.343935    0.370139    0.388922


 k=(   -0.222222    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163358    0.011578    0.098921    0.150456    0.304036
         0.338571    0.382849    0.408270


 k=(   -0.333333    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134985   -0.033407    0.092289    0.136665    0.307463
         0.324920    0.404105    0.448015


 k=(    0.555556    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135698   -0.031718    0.093066    0.134279    0.312621
         0.320187    0.405087    0.442042


 k=(    0.444444    0.000000    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148335   -0.005240    0.092677    0.132570    0.269550
         0.357232    0.396574    0.410273


 k=(    0.333333    0.000000    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176994    0.047873    0.119013    0.136185    0.261520
         0.321971    0.405213    0.417465


 k=(    0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197400    0.094189    0.143686    0.148655    0.254506
         0.336222    0.397346    0.397990


 k=(    0.111111    0.000000    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.206989    0.100318    0.165296    0.172301    0.287207
         0.333666    0.360101    0.385075


 k=(    0.000000    0.000000    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205135    0.077872    0.179326    0.188737    0.283663
         0.328517    0.336947    0.435207


 k=(   -0.111111    0.000000    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.191956    0.053115    0.133887    0.187587    0.305234
         0.332441    0.347858    0.425633


 k=(   -0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168481    0.022284    0.085521    0.171460    0.307046
         0.361318    0.376757    0.417630


 k=(   -0.333333    0.000000    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138856   -0.020852    0.069612    0.152253    0.288683
         0.381314    0.386982    0.467600


 k=(    0.555556    0.000000    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124621   -0.039970    0.074824    0.138263    0.275011
         0.386189    0.395941    0.430876


 k=(    0.444444   -0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123438   -0.027685    0.067796    0.112992    0.289928
         0.347443    0.389980    0.477101


 k=(    0.333333   -0.111111    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153192    0.010394    0.094859    0.121902    0.272747
         0.310453    0.405451    0.466322


 k=(    0.222222   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176603    0.043411    0.128939    0.131560    0.258574
         0.322856    0.407675    0.422405


 k=(    0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189812    0.062540    0.121499    0.169284    0.291766
         0.343938    0.371011    0.388802


 k=(    0.000000   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.191869    0.052425    0.133356    0.189373    0.305574
         0.330729    0.348810    0.426050


 k=(   -0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182695    0.030344    0.151335    0.157691    0.291256
         0.330235    0.372084    0.403372


 k=(   -0.222222   -0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162918    0.009142    0.101058    0.150127    0.306718
         0.338115    0.380712    0.410380


 k=(   -0.333333   -0.111111    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134795   -0.016978    0.062665    0.131636    0.319087
         0.352631    0.383780    0.457223


 k=(   -0.444444   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109734   -0.043995    0.054668    0.116740    0.300867
         0.370458    0.427533    0.444729


 k=(    0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.094014   -0.053860    0.059815    0.084888    0.343987
         0.354331    0.374661    0.437400


 k=(    0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123096   -0.029672    0.075167    0.107092    0.285664
         0.352582    0.388648    0.485241


 k=(    0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147470   -0.009548    0.101868    0.127485    0.264432
         0.361007    0.398203    0.417270


 k=(    0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162973    0.009702    0.099203    0.151968    0.304643
         0.339971    0.381702    0.407957


 k=(    0.000000   -0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168196    0.020644    0.085855    0.172855    0.308519
         0.359762    0.377641    0.417029


 k=(   -0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162753    0.008511    0.100245    0.151787    0.306023
         0.339714    0.380656    0.409016


 k=(   -0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.146999   -0.011195    0.102151    0.128386    0.265684
         0.359652    0.398840    0.417703


 k=(   -0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122316   -0.031521    0.074932    0.108522    0.286731
         0.351345    0.389767    0.484924


 k=(   -0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.093018   -0.055324    0.059625    0.085596    0.344691
         0.354001    0.375122    0.436519


 k=(    0.444444    0.666667    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.096480   -0.050171    0.061416    0.081888    0.347327
         0.349181    0.373973    0.439982


 k=(    0.333333    0.666667    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110869   -0.043094    0.060731    0.110403    0.295996
         0.374060    0.425265    0.448681


 k=(   -0.222222    0.333333   -0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.123960   -0.042446    0.081892    0.132820    0.269736
         0.390445    0.403898    0.431588


 k=(    0.111111   -0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133967   -0.035794    0.092203    0.138267    0.308173
         0.326536    0.403517    0.446815


 k=(    0.000000   -0.333333    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138090   -0.023062    0.070098    0.153294    0.290123
         0.381497    0.387114    0.466972


 k=(   -0.111111   -0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134272   -0.018508    0.062726    0.132730    0.320771
         0.351709    0.383800    0.457111


 k=(   -0.222222   -0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122037   -0.032094    0.074185    0.109730    0.286493
         0.351373    0.390989    0.483672


 k=(   -0.333333   -0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103058   -0.051011    0.063723    0.116057    0.248654
         0.340545    0.473410    0.474434


 k=(   -0.444444   -0.333333    0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.087283   -0.062457    0.060107    0.094725    0.279603
         0.341154    0.448622    0.458678


 k=(    0.444444    0.555556    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125489   -0.022576    0.068780    0.108502    0.287363
         0.350159    0.387088    0.477971


 k=(    0.333333    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136819   -0.010832    0.062965    0.126426    0.314142
         0.354223    0.384268    0.458222


 k=(    0.222222    0.555556    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139780   -0.019309    0.073914    0.146298    0.283549
         0.387449    0.391729    0.465258


 k=(    0.111111    0.555556    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134722   -0.034048    0.092849    0.135986    0.312895
         0.322256    0.404568    0.440773


 k=(    0.000000    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.123442   -0.042434    0.075215    0.139104    0.276376
         0.387026    0.395832    0.429562


 k=(    0.111111    0.444444   -0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108540   -0.046219    0.055072    0.117330    0.302310
         0.370253    0.425668    0.444673


 k=(    0.222222    0.444444   -0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.092112   -0.056591    0.059251    0.086364    0.344736
         0.354622    0.375330    0.435526


 k=(    0.333333    0.444444   -0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.087384   -0.062318    0.060059    0.094725    0.279613
         0.341189    0.448089    0.459070


 k=(    0.555556    0.555556    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107139   -0.043206    0.059399    0.116377    0.249034
         0.340516    0.465804    0.471800


 k=(    0.444444    0.444444    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133839   -0.012986    0.091797    0.112560    0.242372
         0.282613    0.478471    0.479724


 k=(    0.333333    0.444444    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153838    0.013717    0.095127    0.118104    0.274004
         0.310415    0.401546    0.466533


 k=(    0.222222    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163831    0.013446    0.101856    0.144554    0.309930
         0.333765    0.379894    0.409539


 k=(    0.111111    0.444444    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163433   -0.006539    0.128592    0.163483    0.291831
         0.337006    0.349394    0.472948


 k=(    0.000000    0.444444    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153107   -0.024133    0.131669    0.155098    0.287341
         0.333321    0.353684    0.450244


 k=(   -0.111111    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134215   -0.034766    0.088667    0.141260    0.309847
         0.328361    0.399262    0.441163


 k=(   -0.222222    0.444444    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109259   -0.045155    0.056036    0.116043    0.299308
         0.373796    0.426806    0.444144


 k=(    0.666667    0.444444    0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.084877   -0.065202    0.058227    0.096967    0.281714
         0.339192    0.447690    0.458948


 k=(    0.555556    0.444444    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105737   -0.045338    0.085208    0.091295    0.267984
         0.278241    0.465278    0.535671


 k=(    0.444444    0.333333    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154060    0.014964    0.094938    0.116975    0.274397
         0.310426    0.400187    0.466824


 k=(    0.333333    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177317    0.050984    0.119201    0.132800    0.260273
         0.323878    0.404350    0.415077


 k=(    0.222222    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190418    0.070087    0.120554    0.160766    0.293901
         0.343264    0.366249    0.388982


 k=(    0.111111    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192404    0.056838    0.136266    0.179491    0.303852
         0.338726    0.342915    0.425379


 k=(    0.000000    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183188    0.033888    0.146609    0.158332    0.291985
         0.336267    0.363894    0.398089


 k=(   -0.111111    0.333333    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163402    0.012277    0.096836    0.151603    0.307709
         0.341067    0.378611    0.401522


 k=(   -0.222222    0.333333    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135347   -0.015258    0.062437    0.130507    0.317595
         0.352924    0.384232    0.457900


 k=(   -0.333333    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110704   -0.042795    0.057643    0.113096    0.299942
         0.367973    0.425749    0.448088


 k=(    0.555556    0.333333    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.124524   -0.025546    0.071868    0.107111    0.289908
         0.348801    0.384578    0.483193


 k=(    0.444444    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164217    0.015561    0.100970    0.143445    0.309928
         0.332816    0.380430    0.408141


 k=(    0.333333    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190539    0.071811    0.120283    0.158920    0.294387
         0.342680    0.365649    0.389312


 k=(    0.222222    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207338    0.109488    0.162697    0.164451    0.286014
         0.334202    0.357063    0.384444


 k=(    0.111111    0.222222    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212980    0.123942    0.156684    0.193799    0.312187
         0.319030    0.321969    0.399115


 k=(    0.000000    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207105    0.103298    0.163722    0.170175    0.287289
         0.335146    0.357883    0.384218


 k=(   -0.111111    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190065    0.065783    0.120395    0.166365    0.292393
         0.343821    0.369200    0.388955


 k=(   -0.222222    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163522    0.012237    0.099702    0.148799    0.304692
         0.336945    0.382968    0.409678


 k=(   -0.333333    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135149   -0.033161    0.093715    0.134916    0.308137
         0.323104    0.406057    0.447878


 k=(    0.555556    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135709   -0.031847    0.094519    0.132853    0.313045
         0.318558    0.406926    0.442940


 k=(    0.444444    0.111111    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163969   -0.004541    0.128477    0.161971    0.290963
         0.336023    0.349106    0.473698


 k=(    0.333333    0.111111    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192598    0.058747    0.135966    0.177629    0.302986
         0.339608    0.341452    0.425945


 k=(    0.222222    0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213033    0.125912    0.156466    0.191401    0.312237
         0.320147    0.320860    0.398923


 k=(    0.111111    0.111111    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222568    0.163128    0.191186    0.196374    0.293848
         0.311883    0.315470    0.365445


 k=(    0.000000    0.111111    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220531    0.163726    0.176904    0.187397    0.283192
         0.332072    0.335833    0.357074


 k=(   -0.111111    0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207035    0.101705    0.160121    0.176600    0.285479
         0.331104    0.362894    0.387067


 k=(   -0.222222    0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183173    0.033564    0.149034    0.157161    0.289083
         0.328985    0.371171    0.405654


 k=(   -0.333333    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153546   -0.023123    0.140272    0.146042    0.284058
         0.326762    0.362088    0.457172


 k=(    0.555556    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140404   -0.042797    0.130330    0.150571    0.284048
         0.328093    0.353161    0.504372


 k=(    0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153793   -0.022130    0.131133    0.154417    0.286357
         0.331780    0.353776    0.451446


 k=(    0.333333    0.000000    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183416    0.035465    0.145722    0.157896    0.290979
         0.335197    0.363712    0.399204


 k=(    0.222222    0.000000    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207162    0.104736    0.162442    0.169950    0.286946
         0.334766    0.357756    0.384224


 k=(    0.111111    0.000000    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220529    0.162640    0.178926    0.186568    0.283152
         0.332692    0.335095    0.357016


 k=(    0.000000    0.000000    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222435    0.152215    0.194996    0.205538    0.299505
         0.308712    0.314764    0.362884


 k=(   -0.111111    0.000000    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212763    0.117205    0.156987    0.203098    0.310098
         0.317529    0.325359    0.399618


 k=(   -0.222222    0.000000    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192182    0.055564    0.131410    0.188280    0.303871
         0.329649    0.348008    0.427345


 k=(   -0.333333    0.000000    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163439   -0.006033    0.122034    0.171627    0.292482
         0.335137    0.345137    0.474924


 k=(   -0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140120   -0.043111    0.122547    0.159464    0.286165
         0.331883    0.344832    0.503716


 k=(    0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135033   -0.032679    0.087436    0.141385    0.308491
         0.328449    0.397890    0.442514


 k=(    0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163603    0.013426    0.095835    0.151826    0.306363
         0.341320    0.379704    0.400243


 k=(    0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190059    0.065658    0.120505    0.166444    0.292432
         0.343876    0.369011    0.388756


 k=(    0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.206972    0.100116    0.161413    0.177116    0.285873
         0.331333    0.362929    0.386804


 k=(    0.000000   -0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212707    0.115465    0.157592    0.204945    0.310153
         0.316549    0.326307    0.399641


 k=(   -0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.206910    0.098620    0.162784    0.177410    0.286288
         0.331638    0.362937    0.386575


 k=(   -0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189933    0.063984    0.121121    0.167895    0.292121
         0.344017    0.369850    0.388597


 k=(   -0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163416    0.012454    0.095963    0.152856    0.305303
         0.342198    0.380274    0.400540


 k=(   -0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134880   -0.033053    0.087414    0.141758    0.307800
         0.329074    0.397759    0.443569


 k=(   -0.444444    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110082   -0.043463    0.055132    0.116106    0.299342
         0.372255    0.428249    0.444279


 k=(   -0.333333    0.222222   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135328   -0.015345    0.062502    0.130538    0.317461
         0.353316    0.383927    0.457631


 k=(   -0.222222    0.222222   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163301    0.010992    0.100799    0.148651    0.305990
         0.336748    0.381877    0.410731


 k=(   -0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182934    0.031936    0.149935    0.157720    0.290127
         0.329536    0.371714    0.404513


 k=(    0.000000    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.191983    0.053625    0.132143    0.189735    0.304860
         0.329313    0.348915    0.426933


 k=(    0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189809    0.062472    0.121555    0.169336    0.291786
         0.343967    0.370907    0.388678


 k=(    0.222222    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176483    0.042308    0.129419    0.132220    0.259146
         0.322021    0.408308    0.422834


 k=(   -0.333333   -0.222222    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152952    0.009113    0.095342    0.122764    0.272498
         0.310290    0.406779    0.466211


 k=(   -0.444444   -0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123159   -0.028546    0.068573    0.112983    0.288425
         0.348882    0.391001    0.477154


 k=(    0.555556    0.333333   -0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.084744   -0.065372    0.058273    0.096970    0.281703
         0.339160    0.448195    0.458583


 k=(   -0.333333    0.333333   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109829   -0.044619    0.058651    0.113049    0.299814
         0.369584    0.424219    0.448373


 k=(   -0.222222    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134301   -0.035304    0.095042    0.134791    0.309580
         0.322874    0.407354    0.446534


 k=(   -0.111111    0.333333   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152841   -0.025159    0.140084    0.147532    0.285047
         0.327638    0.362578    0.455993


 k=(    0.000000    0.333333   -0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162891   -0.008059    0.122544    0.172724    0.293386
         0.336336    0.345208    0.474963


 k=(    0.111111    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163022    0.010365    0.097031    0.153704    0.305564
         0.342772    0.379750    0.402191


 k=(    0.222222    0.333333   -0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152727    0.007979    0.095604    0.123683    0.272156
         0.310271    0.408047    0.466319


 k=(    0.333333    0.333333   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132350   -0.018078    0.096649    0.112261    0.241380
         0.282351    0.481849    0.487066


 k=(    0.444444    0.333333   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103776   -0.048857    0.084602    0.093935    0.266492
         0.279112    0.470836    0.536387


 k=(    0.444444    0.555556    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105344   -0.046066    0.085210    0.091728    0.267677
         0.278416    0.466451    0.535893


 k=(    0.333333    0.555556    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123825   -0.027521    0.073087    0.107291    0.289701
         0.349074    0.385395    0.484261


 k=(    0.222222    0.555556    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134738   -0.034311    0.095697    0.133198    0.313467
         0.319284    0.408111    0.442672


 k=(    0.111111    0.555556    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139240   -0.045313    0.130329    0.151930    0.284961
         0.329057    0.353525    0.505346


 k=(    0.000000    0.444444   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.138951   -0.045633    0.122988    0.160326    0.287089
         0.333763    0.344316    0.504599


 k=(    0.111111    0.444444   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133897   -0.035519    0.088604    0.142021    0.308423
         0.329638    0.398939    0.443375


 k=(    0.222222    0.444444   -0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122446   -0.030454    0.069673    0.113173    0.288279
         0.349164    0.391729    0.478313


 k=(    0.333333    0.444444   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103375   -0.049553    0.084603    0.094312    0.266207
         0.279299    0.471905    0.536328


 k=(    0.444444    0.444444   -0.111111):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.082442   -0.073107    0.084300    0.105543    0.236075
         0.268123    0.540844    0.551930


 k=(    0.444444    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.108683   -0.046818    0.104208    0.106283    0.228767
         0.243631    0.544878    0.545039


 k=(    0.333333    0.444444    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132824   -0.016293    0.092562    0.114620    0.243407
         0.280916    0.479036    0.485162


 k=(    0.222222    0.444444    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147709   -0.008051    0.096308    0.131462    0.268020
         0.358466    0.396644    0.413903


 k=(    0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152992   -0.024579    0.134134    0.153067    0.286378
         0.330149    0.358193    0.452445


 k=(    0.000000    0.444444    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.149507   -0.040161    0.158691    0.169737    0.261434
         0.324381    0.337474    0.490997


 k=(   -0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139065   -0.045503    0.125300    0.157654    0.286157
         0.330655    0.349278    0.504799


 k=(    0.222222    0.555556    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.123622   -0.042492    0.077623    0.136989    0.273413
         0.388158    0.399854    0.429977


 k=(    0.333333    0.555556    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103599   -0.049488    0.060221    0.118478    0.250952
         0.338575    0.468110    0.474390


 k=(    0.555556    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.079574   -0.076038    0.082234    0.107645    0.238193
         0.266077    0.539726    0.551607


 k=(    0.444444    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133125   -0.015256    0.091583    0.114678    0.243612
         0.280952    0.478074    0.483972


 k=(    0.333333    0.333333    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159640    0.022189    0.118082    0.120414    0.233755
         0.280242    0.469507    0.469830


 k=(    0.222222    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176763    0.045233    0.122861    0.135364    0.260614
         0.321914    0.405970    0.420241


 k=(    0.111111    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183080    0.033016    0.148283    0.157892    0.291261
         0.332886    0.367684    0.400573


 k=(    0.000000    0.333333    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178371    0.010489    0.165164    0.176247    0.268850
         0.329347    0.342052    0.491111


 k=(   -0.111111    0.333333    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163114   -0.007407    0.124421    0.169587    0.292637
         0.336093    0.347470    0.472903


 k=(   -0.222222    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138781   -0.021482    0.071295    0.150873    0.287110
         0.383754    0.389389    0.465538


 k=(   -0.333333    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.110114   -0.042334    0.047062    0.131443    0.265323
         0.417134    0.440497    0.461519


 k=(    0.555556    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104470   -0.047864    0.059350    0.118543    0.251028
         0.338555    0.466677    0.473812


 k=(    0.444444    0.222222    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148239   -0.005870    0.094314    0.131657    0.268138
         0.358530    0.396108    0.412047


 k=(    0.333333    0.222222    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176931    0.047002    0.120850    0.135426    0.260831
         0.322263    0.405125    0.418762


 k=(    0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197396    0.093970    0.144770    0.147845    0.254552
         0.336088    0.397498    0.397725


 k=(    0.111111    0.222222    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207048    0.101719    0.163692    0.172426    0.286818
         0.333266    0.360039    0.385152


 k=(    0.000000    0.222222    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205260    0.079579    0.177481    0.188934    0.282613
         0.327050    0.337497    0.435959


 k=(   -0.111111    0.222222    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192156    0.055040    0.133145    0.186199    0.304145
         0.332565    0.347231    0.426054


 k=(   -0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168764    0.023983    0.085121    0.170092    0.305495
         0.362992    0.375872    0.418235


 k=(   -0.333333    0.222222    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139196   -0.020051    0.070191    0.151051    0.287148
         0.382329    0.388264    0.466823


 k=(    0.555556    0.222222    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124714   -0.039994    0.076018    0.137215    0.273506
         0.386785    0.397986    0.431033


 k=(    0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153738   -0.022353    0.132332    0.153434    0.285869
         0.330177    0.356070    0.452523


 k=(    0.333333    0.111111    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183363    0.035022    0.146584    0.157650    0.290613
         0.333483    0.365660    0.400433


 k=(    0.222222    0.111111    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207134    0.103913    0.162652    0.170865    0.286714
         0.333782    0.358895    0.384727


 k=(    0.111111    0.111111    0.000000):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220529    0.162079    0.180255    0.185864    0.283127
         0.333466    0.334251    0.356981


 k=(    0.000000    0.111111    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222462    0.154252    0.192734    0.205450    0.298099
         0.308343    0.316102    0.363394


 k=(   -0.111111    0.111111    0.000000):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212818    0.119098    0.156176    0.201350    0.309732
         0.318990    0.324218    0.399576


 k=(   -0.222222    0.111111    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192268    0.056290    0.131880    0.186532    0.303498
         0.331206    0.347257    0.426881


 k=(   -0.333333    0.111111    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163549   -0.005705    0.122955    0.170075    0.292097
         0.334965    0.346328    0.473901


 k=(   -0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140176   -0.043047    0.123680    0.158151    0.285690
         0.330347    0.347308    0.503779


 k=(   -0.444444    0.000000    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.150466   -0.037879    0.157732    0.169570    0.260677
         0.323152    0.336848    0.490117


 k=(   -0.333333    0.000000    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178744    0.012266    0.164104    0.175998    0.268027
         0.328143    0.341456    0.491173


 k=(   -0.222222    0.000000    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205384    0.081314    0.176175    0.188502    0.281639
         0.326270    0.337350    0.436707


 k=(   -0.111111    0.000000    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222489    0.156406    0.190933    0.204739    0.296819
         0.308557    0.316781    0.363893


 k=(    0.000000    0.000000    0.000000):       259 3-d basis functions
 the   8 eigenvalues are:
        -0.228314    0.198468    0.204055    0.216140    0.294088
         0.300851    0.304363    0.321142


 fermi energy and band-weighting factors:

FERMIE:
          first approx. to ef    (T=0)  :  0.216140 htr   (energy of the highest occ. eigenvalue)
          number of occ. states  (T=0)  :      1460
          first approx. to seigv (T=0)  :  0.177433 htr
          sum of weights of occ. states :  4.000000
          sum of semicore eigenvalues   :  0.000000 htr
          sum of semicore charge        :  0.000000 e



FERHIS:  Fermi-Energy by histogram:

          bandgap                     :   0.011914 htr
          charge neutrality (T=0)     :   0.000000    (zero if the highest occ. eigenvalue is "entirely" occupied)

     EF_NEWTON:  Adjust Fermi-Energy by Newton-Method.

               Number of iterations needed  :   4
               The error in the weight is   :  0.90466E-14
               The error in ef is           : -0.62030E-12 htr


     -->  new fermi energy            :   0.221369 htr
          valence charge              :   8.000000 e 
          actual charge blw ef-8kt    :   7.997257 e 
          actual charge blw ef+8kt    :   8.000000 e 
          number of occ. states       :      1463
          sum of the valence weights  :   4.000000
          entropy         :   0.000208 *kb htr/K =   0.00000 htr/K

          sum of val. single particle energies:         0.1774332074 htr



          valence density: spin= 1

     l-like charge
     atom     s        p        d        f        total
 --> 1    0.89042  1.17077  0.08209  0.00602    2.15091
 --> 2    0.89042  1.17077  0.08209  0.00602    2.15091
 Energy Parameters for spin:           1
 Max. mismatch of energy parameters:    0.000000

     energy parameters for window 1
     atom     s        p        d        f
 -->  1   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0
 -->  2   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0

          total charge for spin  1=    8.000000
          interst. charge =       3.698188
          mt charge=              2.150906    2.150906

          total charge  =    8.000000


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.2036        2.
               2.   0.   0.5   -4.7106        2.
               2.   1.   0.5   -3.1109        2.
               2.   1.   1.5   -3.0871        4.
          atom type  1  (spin 1) 
          kinetic energy=  0.285373017597E+03     sum of the eigenvalues= -0.158398571790E+03
          0.00178902  electrons lost from core.


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.2036        2.
               2.   0.   0.5   -4.7106        2.
               2.   1.   0.5   -3.1109        2.
               2.   1.   1.5   -3.0871        4.
          atom type  2  (spin 1) 
          kinetic energy=  0.285373017619E+03     sum of the eigenvalues= -0.158398571871E+03
          0.00178902  electrons lost from core.

          alpha=   1.39394     acoff=   0.09673

          alpha=   1.39394     acoff=   0.09673

          total charge for spin  1=   28.000000
          interst. charge =       3.701666
          mt charge=             12.149167   12.149167

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701666
          mt charge=             12.149167   12.149167

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*



     t o t a l  e n e r g y

          sum of eigenvalues =              -316.6197104539

          density-coulomb potential int     -844.3987323960

          density-effective potential i     -898.3092007256

          charge density-ex.-corr.energ      -41.7447495985
 
 FORCES: EQUATION A3 FOR ATOM TYPE   1
 FX_A3= -0.013547  0.000000 FY_A3= -0.008934  0.000000 FZ_A3= -0.004222  0.000000
 FORCES: EQUATION A3 FOR ATOM TYPE   2
 FX_A3=  0.013547  0.000000 FY_A3=  0.008934  0.000000 FZ_A3=  0.004222  0.000000

          el.-nucl. inter. diff. m.t.        342.2738710431

          Madelung term for atom type:        -6.6345886222

          el.-nucl. inter. diff. m.t.        342.2738709397

          Madelung term for atom type:        -6.6345886592


 ----> total energy=                        -580.0715447890 htr

 ***** TOTAL FORCES ON ATOMS ***** 

 TOTAL FORCE FOR ATOM TYPE=  1  X=  1.292   Y=  1.292   Z=  1.292
                       FX_TOT=-0.013547 FY_TOT=-0.008934 FZ_TOT=-0.004222
 TOTAL FORCE FOR ATOM TYPE=  2  X= -1.369   Y= -1.344   Z= -1.318
                       FX_TOT= 0.013547 FY_TOT= 0.008934 FZ_TOT= 0.004222
eps_force= 0.00001max= 0.00022


 ---->(tkb*entropy) TS=                        0.0000002079 htr


 ----> free energy=                         -580.0715449969 htr


      extrapolation for T->0
 ----> total electron energy=               -580.0715448930 htr
 wrtdop title:alpha Si                                                                ordered*
 wrtdop title:alpha Si                                                                ordered*
     <vi|w|Fm> for it 2       0.021977
     <vi|w|Fm> for it 3      -0.478412
     <vi|w|Fm> for it 4       0.097668
     <vi|w|Fm> for it 5      11.482198

----> distance of charge densities for spin  1        it=  6:   0.051579 me/bohr**3

          total charge for spin  1=   28.000000
          interst. charge =       3.702174
          mt charge=             12.148913   12.148913

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.702174
          mt charge=             12.148913   12.148913

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*

     ******* it=  6  is completed********



             it=        7

          total charge for spin  1=   28.000000
          interst. charge =       3.702174
          mt charge=             12.148913   12.148913

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.702174
          mt charge=             12.148913   12.148913

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*


          p o t e n t i a l   g e n e r a t o r


          multipole moments for atom type=    1

  l   m                   original                      plane wave
  0   0          -0.52218E+00    0.00000E+00         0.77830E+00   -0.14224E-14
  1   0           0.16754E-02    0.00000E+00         0.14197E-02   -0.50499E-15
  1   1          -0.49356E-02    0.31539E-02        -0.40680E-02    0.26070E-02
  1  -1           0.49356E-02    0.31539E-02         0.40680E-02    0.26070E-02
  1   1          -0.49356E-02    0.31539E-02        -0.40680E-02    0.26070E-02
  1  -1           0.49356E-02    0.31539E-02         0.40680E-02    0.26070E-02
  2   0           0.52177E-03    0.00000E+00         0.49853E-03    0.58187E-16
  2   1           0.12321E-01   -0.18653E-01         0.11722E-01   -0.17719E-01
  2  -1          -0.12321E-01   -0.18653E-01        -0.11722E-01   -0.17719E-01
  2   2          -0.29014E-03    0.58567E-02        -0.27731E-03    0.56237E-02
  2  -2          -0.29014E-03   -0.58567E-02        -0.27731E-03   -0.56237E-02
  2   1           0.12321E-01   -0.18653E-01         0.11722E-01   -0.17719E-01
  2  -1          -0.12321E-01   -0.18653E-01        -0.11722E-01   -0.17719E-01
  2   2          -0.29014E-03    0.58567E-02        -0.27731E-03    0.56237E-02
  2  -2          -0.29014E-03   -0.58567E-02        -0.27731E-03   -0.56237E-02
  3   0          -0.84907E-02    0.00000E+00        -0.82439E-02   -0.10075E-14
  3   1          -0.10728E-01    0.71983E-02        -0.10350E-01    0.69503E-02
  3  -1           0.10728E-01    0.71983E-02         0.10350E-01    0.69503E-02
  3   2          -0.55300E-05    0.46863E+00        -0.47241E-05    0.46152E+00
  3  -2          -0.55300E-05   -0.46863E+00        -0.47241E-05   -0.46152E+00
  3   3           0.13833E-01    0.92622E-02         0.13347E-01    0.89464E-02
  3  -3          -0.13833E-01    0.92622E-02        -0.13347E-01    0.89464E-02
  3   1          -0.10728E-01    0.71983E-02        -0.10350E-01    0.69503E-02
  3  -1           0.10728E-01    0.71983E-02         0.10350E-01    0.69503E-02
  3   2          -0.55300E-05    0.46863E+00        -0.47241E-05    0.46152E+00
  3  -2          -0.55300E-05   -0.46863E+00        -0.47241E-05   -0.46152E+00
  3   3           0.13833E-01    0.92622E-02         0.13347E-01    0.89464E-02
  3  -3          -0.13833E-01    0.92622E-02        -0.13347E-01    0.89464E-02
  4   0          -0.27273E+00    0.00000E+00        -0.26876E+00    0.89496E-15
  4   1           0.34126E-03   -0.37189E-03         0.40679E-03   -0.47838E-03
  4  -1          -0.34126E-03   -0.37189E-03        -0.40679E-03   -0.47838E-03
  4   2          -0.31460E-03   -0.10835E-02        -0.30552E-03   -0.11424E-02
  4  -2          -0.31460E-03    0.10835E-02        -0.30552E-03    0.11424E-02
  4   3           0.82383E-03    0.93900E-03         0.10018E-02    0.12233E-02
  4  -3          -0.82383E-03    0.93900E-03        -0.10018E-02    0.12233E-02
  4   4          -0.16246E+00   -0.84874E-05        -0.16011E+00   -0.79818E-05
  4  -4          -0.16246E+00    0.84874E-05        -0.16011E+00    0.79818E-05
  4   1           0.34126E-03   -0.37189E-03         0.40679E-03   -0.47838E-03
  4  -1          -0.34126E-03   -0.37189E-03        -0.40679E-03   -0.47838E-03
  4   2          -0.31460E-03   -0.10835E-02        -0.30552E-03   -0.11424E-02
  4  -2          -0.31460E-03    0.10835E-02        -0.30552E-03    0.11424E-02
  4   3           0.82383E-03    0.93900E-03         0.10018E-02    0.12233E-02
  4  -3          -0.82383E-03    0.93900E-03        -0.10018E-02    0.12233E-02
  4   4          -0.16246E+00   -0.84874E-05        -0.16011E+00   -0.79818E-05
  4  -4          -0.16246E+00    0.84874E-05        -0.16011E+00    0.79818E-05
  5   0           0.53196E-02    0.00000E+00         0.52608E-02   -0.79162E-15
  5   1           0.43727E-02   -0.27144E-02         0.42146E-02   -0.26120E-02
  5  -1          -0.43727E-02   -0.27144E-02        -0.42146E-02   -0.26120E-02
  5   2           0.77607E-05    0.61547E-03         0.76277E-05    0.60170E-03
  5  -2           0.77607E-05   -0.61547E-03         0.76277E-05   -0.60170E-03
  5   3           0.17810E-01    0.11787E-01         0.17481E-01    0.11567E-01
  5  -3          -0.17810E-01    0.11787E-01        -0.17481E-01    0.11567E-01
  5   4          -0.46710E-02   -0.48337E-03        -0.45575E-02   -0.47243E-03
  5  -4          -0.46710E-02    0.48337E-03        -0.45575E-02    0.47243E-03
  5   5          -0.37229E-02    0.26149E-02        -0.37285E-02    0.26160E-02
  5  -5           0.37229E-02    0.26149E-02         0.37285E-02    0.26160E-02
  5   1           0.43727E-02   -0.27144E-02         0.42146E-02   -0.26120E-02
  5  -1          -0.43727E-02   -0.27144E-02        -0.42146E-02   -0.26120E-02
  5   2           0.77607E-05    0.61547E-03         0.76277E-05    0.60170E-03
  5  -2           0.77607E-05   -0.61547E-03         0.76277E-05   -0.60170E-03
  5   3           0.17810E-01    0.11787E-01         0.17481E-01    0.11567E-01
  5  -3          -0.17810E-01    0.11787E-01        -0.17481E-01    0.11567E-01
  5   4          -0.46710E-02   -0.48337E-03        -0.45575E-02   -0.47243E-03
  5  -4          -0.46710E-02    0.48337E-03        -0.45575E-02    0.47243E-03
  5   5          -0.37229E-02    0.26149E-02        -0.37285E-02    0.26160E-02
  5  -5           0.37229E-02    0.26149E-02         0.37285E-02    0.26160E-02
  6   0           0.10290E+00    0.00000E+00         0.10185E+00    0.11890E-14
  6   1          -0.63998E-02    0.97115E-02        -0.63449E-02    0.96300E-02
  6  -1           0.63998E-02    0.97115E-02         0.63449E-02    0.96300E-02
  6   2           0.11859E-03   -0.60829E-02         0.11752E-03   -0.60213E-02
  6  -2           0.11859E-03    0.60829E-02         0.11752E-03    0.60213E-02
  6   3          -0.42960E-02   -0.62368E-02        -0.42553E-02   -0.61783E-02
  6  -3           0.42960E-02   -0.62368E-02         0.42553E-02   -0.61783E-02
  6   4          -0.19328E+00   -0.54615E-05        -0.19131E+00   -0.55638E-05
  6  -4          -0.19328E+00    0.54615E-05        -0.19131E+00    0.55638E-05
  6   5          -0.97137E-02    0.14439E-01        -0.96250E-02    0.14311E-01
  6  -5           0.97137E-02    0.14439E-01         0.96250E-02    0.14311E-01
  6   6           0.17633E-03   -0.20740E-02         0.17475E-03   -0.20541E-02
  6  -6           0.17633E-03    0.20740E-02         0.17475E-03    0.20541E-02
  6   1          -0.63998E-02    0.97115E-02        -0.63449E-02    0.96300E-02
  6  -1           0.63998E-02    0.97115E-02         0.63449E-02    0.96300E-02
  6   2           0.11859E-03   -0.60829E-02         0.11752E-03   -0.60213E-02
  6  -2           0.11859E-03    0.60829E-02         0.11752E-03    0.60213E-02
  6   3          -0.42960E-02   -0.62368E-02        -0.42553E-02   -0.61783E-02
  6  -3           0.42960E-02   -0.62368E-02         0.42553E-02   -0.61783E-02
  6   4          -0.19328E+00   -0.54615E-05        -0.19131E+00   -0.55638E-05
  6  -4          -0.19328E+00    0.54615E-05        -0.19131E+00    0.55638E-05
  6   5          -0.97137E-02    0.14439E-01        -0.96250E-02    0.14311E-01
  6  -5           0.97137E-02    0.14439E-01         0.96250E-02    0.14311E-01
  6   6           0.17633E-03   -0.20740E-02         0.17475E-03   -0.20541E-02
  6  -6           0.17633E-03    0.20740E-02         0.17475E-03    0.20541E-02
  7   0           0.24660E-02    0.00000E+00         0.24496E-02    0.46488E-14
  7   1           0.51596E-02   -0.35470E-02         0.51456E-02   -0.35377E-02
  7  -1          -0.51596E-02   -0.35470E-02        -0.51456E-02   -0.35377E-02
  7   2           0.24266E-05   -0.12871E+00         0.24173E-05   -0.12876E+00
  7  -2           0.24266E-05    0.12871E+00         0.24173E-05    0.12876E+00
  7   3          -0.12567E-02   -0.86013E-03        -0.12410E-02   -0.84977E-03
  7  -3           0.12567E-02   -0.86013E-03         0.12410E-02   -0.84977E-03
  7   4           0.24415E-02   -0.36076E-03         0.24420E-02   -0.36165E-03
  7  -4           0.24415E-02    0.36076E-03         0.24420E-02    0.36165E-03
  7   5          -0.27182E-02    0.18592E-02        -0.27371E-02    0.18720E-02
  7  -5           0.27182E-02    0.18592E-02         0.27371E-02    0.18720E-02
  7   6           0.43346E-05   -0.11778E+00         0.42684E-05   -0.11783E+00
  7  -6           0.43346E-05    0.11778E+00         0.42684E-05    0.11783E+00
  7   7          -0.47027E-02   -0.32264E-02        -0.46799E-02   -0.32112E-02
  7  -7           0.47027E-02   -0.32264E-02         0.46799E-02   -0.32112E-02
  7   1           0.51596E-02   -0.35470E-02         0.51456E-02   -0.35377E-02
  7  -1          -0.51596E-02   -0.35470E-02        -0.51456E-02   -0.35377E-02
  7   2           0.24266E-05   -0.12871E+00         0.24173E-05   -0.12876E+00
  7  -2           0.24266E-05    0.12871E+00         0.24173E-05    0.12876E+00
  7   3          -0.12567E-02   -0.86013E-03        -0.12410E-02   -0.84977E-03
  7  -3           0.12567E-02   -0.86013E-03         0.12410E-02   -0.84977E-03
  7   4           0.24415E-02   -0.36076E-03         0.24420E-02   -0.36165E-03
  7  -4           0.24415E-02    0.36076E-03         0.24420E-02    0.36165E-03
  7   5          -0.27182E-02    0.18592E-02        -0.27371E-02    0.18720E-02
  7  -5           0.27182E-02    0.18592E-02         0.27371E-02    0.18720E-02
  7   6           0.43346E-05   -0.11778E+00         0.42684E-05   -0.11783E+00
  7  -6           0.43346E-05    0.11778E+00         0.42684E-05    0.11783E+00
  7   7          -0.47027E-02   -0.32264E-02        -0.46799E-02   -0.32112E-02
  7  -7           0.47027E-02   -0.32264E-02         0.46799E-02   -0.32112E-02
  8   0           0.52583E-01    0.00000E+00         0.56808E-01   -0.10095E-14
  8   1           0.58950E-03   -0.93410E-03         0.52708E-03   -0.83288E-03
  8  -1          -0.58950E-03   -0.93410E-03        -0.52708E-03   -0.83288E-03
  8   2           0.10430E-03    0.31300E-02         0.11451E-03    0.34675E-02
  8  -2           0.10430E-03   -0.31300E-02         0.11451E-03   -0.34675E-02
  8   3          -0.88129E-03   -0.12352E-02        -0.11219E-02   -0.16015E-02
  8  -3           0.88129E-03   -0.12352E-02         0.11219E-02   -0.16015E-02
  8   4           0.19329E-01    0.86662E-05         0.20913E-01    0.87134E-05
  8  -4           0.19329E-01   -0.86662E-05         0.20913E-01   -0.87134E-05
  8   5          -0.56738E-02    0.85099E-02        -0.61310E-02    0.91900E-02
  8  -5           0.56738E-02    0.85099E-02         0.61310E-02    0.91900E-02
  8   6           0.32699E-03   -0.14303E-02         0.33133E-03   -0.14849E-02
  8  -6           0.32699E-03    0.14303E-02         0.33133E-03    0.14849E-02
  8   7          -0.33939E-02   -0.50303E-02        -0.38693E-02   -0.57492E-02
  8  -7           0.33939E-02   -0.50303E-02         0.38693E-02   -0.57492E-02
  8   8           0.29758E-01   -0.13742E-05         0.32160E-01   -0.21018E-05
  8  -8           0.29758E-01    0.13742E-05         0.32160E-01    0.21018E-05
  8   1           0.58950E-03   -0.93410E-03         0.52708E-03   -0.83288E-03
  8  -1          -0.58950E-03   -0.93410E-03        -0.52708E-03   -0.83288E-03
  8   2           0.10430E-03    0.31300E-02         0.11451E-03    0.34675E-02
  8  -2           0.10430E-03   -0.31300E-02         0.11451E-03   -0.34675E-02
  8   3          -0.88129E-03   -0.12352E-02        -0.11219E-02   -0.16015E-02
  8  -3           0.88129E-03   -0.12352E-02         0.11219E-02   -0.16015E-02
  8   4           0.19329E-01    0.86662E-05         0.20913E-01    0.87134E-05
  8  -4           0.19329E-01   -0.86662E-05         0.20913E-01   -0.87134E-05
  8   5          -0.56738E-02    0.85099E-02        -0.61310E-02    0.91900E-02
  8  -5           0.56738E-02    0.85099E-02         0.61310E-02    0.91900E-02
  8   6           0.32699E-03   -0.14303E-02         0.33133E-03   -0.14849E-02
  8  -6           0.32699E-03    0.14303E-02         0.33133E-03    0.14849E-02
  8   7          -0.33939E-02   -0.50303E-02        -0.38693E-02   -0.57492E-02
  8  -7           0.33939E-02   -0.50303E-02         0.38693E-02   -0.57492E-02
  8   8           0.29758E-01   -0.13742E-05         0.32160E-01   -0.21018E-05
  8  -8           0.29758E-01    0.13742E-05         0.32160E-01    0.21018E-05

          multipole moments for atom type=    2

  l   m                   original                      plane wave
  0   0          -0.52218E+00    0.00000E+00         0.77830E+00   -0.14541E-14
  1   0          -0.16754E-02    0.00000E+00        -0.14197E-02    0.73723E-15
  1   1           0.49356E-02   -0.31539E-02         0.40680E-02   -0.26070E-02
  1  -1          -0.49356E-02   -0.31539E-02        -0.40680E-02   -0.26070E-02
  1   1           0.49356E-02   -0.31539E-02         0.40680E-02   -0.26070E-02
  1  -1          -0.49356E-02   -0.31539E-02        -0.40680E-02   -0.26070E-02
  2   0           0.52176E-03    0.00000E+00         0.49852E-03   -0.32209E-16
  2   1           0.12321E-01   -0.18653E-01         0.11722E-01   -0.17719E-01
  2  -1          -0.12321E-01   -0.18653E-01        -0.11722E-01   -0.17719E-01
  2   2          -0.29017E-03    0.58567E-02        -0.27733E-03    0.56237E-02
  2  -2          -0.29017E-03   -0.58567E-02        -0.27733E-03   -0.56237E-02
  2   1           0.12321E-01   -0.18653E-01         0.11722E-01   -0.17719E-01
  2  -1          -0.12321E-01   -0.18653E-01        -0.11722E-01   -0.17719E-01
  2   2          -0.29017E-03    0.58567E-02        -0.27733E-03    0.56237E-02
  2  -2          -0.29017E-03   -0.58567E-02        -0.27733E-03   -0.56237E-02
  3   0           0.84907E-02    0.00000E+00         0.82438E-02   -0.16355E-15
  3   1           0.10728E-01   -0.71983E-02         0.10350E-01   -0.69503E-02
  3  -1          -0.10728E-01   -0.71983E-02        -0.10350E-01   -0.69503E-02
  3   2           0.55780E-05   -0.46863E+00         0.47748E-05   -0.46152E+00
  3  -2           0.55780E-05    0.46863E+00         0.47748E-05    0.46152E+00
  3   3          -0.13833E-01   -0.92622E-02        -0.13347E-01   -0.89464E-02
  3  -3           0.13833E-01   -0.92622E-02         0.13347E-01   -0.89464E-02
  3   1           0.10728E-01   -0.71983E-02         0.10350E-01   -0.69503E-02
  3  -1          -0.10728E-01   -0.71983E-02        -0.10350E-01   -0.69503E-02
  3   2           0.55780E-05   -0.46863E+00         0.47748E-05   -0.46152E+00
  3  -2           0.55780E-05    0.46863E+00         0.47748E-05    0.46152E+00
  3   3          -0.13833E-01   -0.92622E-02        -0.13347E-01   -0.89464E-02
  3  -3           0.13833E-01   -0.92622E-02         0.13347E-01   -0.89464E-02
  4   0          -0.27273E+00    0.00000E+00        -0.26876E+00    0.26610E-14
  4   1           0.34126E-03   -0.37181E-03         0.40680E-03   -0.47832E-03
  4  -1          -0.34126E-03   -0.37181E-03        -0.40680E-03   -0.47832E-03
  4   2          -0.31459E-03   -0.10835E-02        -0.30551E-03   -0.11425E-02
  4  -2          -0.31459E-03    0.10835E-02        -0.30551E-03    0.11425E-02
  4   3           0.82382E-03    0.93947E-03         0.10018E-02    0.12238E-02
  4  -3          -0.82382E-03    0.93947E-03        -0.10018E-02    0.12238E-02
  4   4          -0.16246E+00   -0.85525E-05        -0.16011E+00   -0.80490E-05
  4  -4          -0.16246E+00    0.85525E-05        -0.16011E+00    0.80490E-05
  4   1           0.34126E-03   -0.37181E-03         0.40680E-03   -0.47832E-03
  4  -1          -0.34126E-03   -0.37181E-03        -0.40680E-03   -0.47832E-03
  4   2          -0.31459E-03   -0.10835E-02        -0.30551E-03   -0.11425E-02
  4  -2          -0.31459E-03    0.10835E-02        -0.30551E-03    0.11425E-02
  4   3           0.82382E-03    0.93947E-03         0.10018E-02    0.12238E-02
  4  -3          -0.82382E-03    0.93947E-03        -0.10018E-02    0.12238E-02
  4   4          -0.16246E+00   -0.85525E-05        -0.16011E+00   -0.80490E-05
  4  -4          -0.16246E+00    0.85525E-05        -0.16011E+00    0.80490E-05
  5   0          -0.53196E-02    0.00000E+00        -0.52608E-02   -0.23357E-14
  5   1          -0.43727E-02    0.27144E-02        -0.42147E-02    0.26120E-02
  5  -1           0.43727E-02    0.27144E-02         0.42147E-02    0.26120E-02
  5   2          -0.78046E-05   -0.61540E-03        -0.76716E-05   -0.60163E-03
  5  -2          -0.78046E-05    0.61540E-03        -0.76716E-05    0.60163E-03
  5   3          -0.17810E-01   -0.11787E-01        -0.17480E-01   -0.11567E-01
  5  -3           0.17810E-01   -0.11787E-01         0.17480E-01   -0.11567E-01
  5   4           0.46713E-02    0.48389E-03         0.45577E-02    0.47298E-03
  5  -4           0.46713E-02   -0.48389E-03         0.45577E-02   -0.47298E-03
  5   5           0.37209E-02   -0.26149E-02         0.37263E-02   -0.26160E-02
  5  -5          -0.37209E-02   -0.26149E-02        -0.37263E-02   -0.26160E-02
  5   1          -0.43727E-02    0.27144E-02        -0.42147E-02    0.26120E-02
  5  -1           0.43727E-02    0.27144E-02         0.42147E-02    0.26120E-02
  5   2          -0.78046E-05   -0.61540E-03        -0.76716E-05   -0.60163E-03
  5  -2          -0.78046E-05    0.61540E-03        -0.76716E-05    0.60163E-03
  5   3          -0.17810E-01   -0.11787E-01        -0.17480E-01   -0.11567E-01
  5  -3           0.17810E-01   -0.11787E-01         0.17480E-01   -0.11567E-01
  5   4           0.46713E-02    0.48389E-03         0.45577E-02    0.47298E-03
  5  -4           0.46713E-02   -0.48389E-03         0.45577E-02   -0.47298E-03
  5   5           0.37209E-02   -0.26149E-02         0.37263E-02   -0.26160E-02
  5  -5          -0.37209E-02   -0.26149E-02        -0.37263E-02   -0.26160E-02
  6   0           0.10290E+00    0.00000E+00         0.10185E+00    0.23418E-14
  6   1          -0.63998E-02    0.97116E-02        -0.63449E-02    0.96300E-02
  6  -1           0.63998E-02    0.97116E-02         0.63449E-02    0.96300E-02
  6   2           0.11877E-03   -0.60829E-02         0.11770E-03   -0.60213E-02
  6  -2           0.11877E-03    0.60829E-02         0.11770E-03    0.60213E-02
  6   3          -0.42960E-02   -0.62373E-02        -0.42553E-02   -0.61789E-02
  6  -3           0.42960E-02   -0.62373E-02         0.42553E-02   -0.61789E-02
  6   4          -0.19328E+00   -0.55589E-05        -0.19131E+00   -0.56640E-05
  6  -4          -0.19328E+00    0.55589E-05        -0.19131E+00    0.56640E-05
  6   5          -0.97139E-02    0.14440E-01        -0.96252E-02    0.14311E-01
  6  -5           0.97139E-02    0.14440E-01         0.96252E-02    0.14311E-01
  6   6           0.17577E-03   -0.20736E-02         0.17416E-03   -0.20536E-02
  6  -6           0.17577E-03    0.20736E-02         0.17416E-03    0.20536E-02
  6   1          -0.63998E-02    0.97116E-02        -0.63449E-02    0.96300E-02
  6  -1           0.63998E-02    0.97116E-02         0.63449E-02    0.96300E-02
  6   2           0.11877E-03   -0.60829E-02         0.11770E-03   -0.60213E-02
  6  -2           0.11877E-03    0.60829E-02         0.11770E-03    0.60213E-02
  6   3          -0.42960E-02   -0.62373E-02        -0.42553E-02   -0.61789E-02
  6  -3           0.42960E-02   -0.62373E-02         0.42553E-02   -0.61789E-02
  6   4          -0.19328E+00   -0.55589E-05        -0.19131E+00   -0.56640E-05
  6  -4          -0.19328E+00    0.55589E-05        -0.19131E+00    0.56640E-05
  6   5          -0.97139E-02    0.14440E-01        -0.96252E-02    0.14311E-01
  6  -5           0.97139E-02    0.14440E-01         0.96252E-02    0.14311E-01
  6   6           0.17577E-03   -0.20736E-02         0.17416E-03   -0.20536E-02
  6  -6           0.17577E-03    0.20736E-02         0.17416E-03    0.20536E-02
  7   0          -0.24658E-02    0.00000E+00        -0.24494E-02   -0.36505E-15
  7   1          -0.51599E-02    0.35470E-02        -0.51460E-02    0.35377E-02
  7  -1           0.51599E-02    0.35470E-02         0.51460E-02    0.35377E-02
  7   2          -0.24135E-05    0.12871E+00        -0.24033E-05    0.12876E+00
  7  -2          -0.24135E-05   -0.12871E+00        -0.24033E-05   -0.12876E+00
  7   3           0.12576E-02    0.86018E-03         0.12419E-02    0.84982E-03
  7  -3          -0.12576E-02    0.86018E-03        -0.12419E-02    0.84982E-03
  7   4          -0.24416E-02    0.36066E-03        -0.24421E-02    0.36155E-03
  7  -4          -0.24416E-02   -0.36066E-03        -0.24421E-02   -0.36155E-03
  7   5           0.27201E-02   -0.18592E-02         0.27391E-02   -0.18720E-02
  7  -5          -0.27201E-02   -0.18592E-02        -0.27391E-02   -0.18720E-02
  7   6          -0.43826E-05    0.11778E+00        -0.43152E-05    0.11783E+00
  7  -6          -0.43826E-05   -0.11778E+00        -0.43152E-05   -0.11783E+00
  7   7           0.47027E-02    0.32262E-02         0.46799E-02    0.32110E-02
  7  -7          -0.47027E-02    0.32262E-02        -0.46799E-02    0.32110E-02
  7   1          -0.51599E-02    0.35470E-02        -0.51460E-02    0.35377E-02
  7  -1           0.51599E-02    0.35470E-02         0.51460E-02    0.35377E-02
  7   2          -0.24135E-05    0.12871E+00        -0.24033E-05    0.12876E+00
  7  -2          -0.24135E-05   -0.12871E+00        -0.24033E-05   -0.12876E+00
  7   3           0.12576E-02    0.86018E-03         0.12419E-02    0.84982E-03
  7  -3          -0.12576E-02    0.86018E-03        -0.12419E-02    0.84982E-03
  7   4          -0.24416E-02    0.36066E-03        -0.24421E-02    0.36155E-03
  7  -4          -0.24416E-02   -0.36066E-03        -0.24421E-02   -0.36155E-03
  7   5           0.27201E-02   -0.18592E-02         0.27391E-02   -0.18720E-02
  7  -5          -0.27201E-02   -0.18592E-02        -0.27391E-02   -0.18720E-02
  7   6          -0.43826E-05    0.11778E+00        -0.43152E-05    0.11783E+00
  7  -6          -0.43826E-05   -0.11778E+00        -0.43152E-05   -0.11783E+00
  7   7           0.47027E-02    0.32262E-02         0.46799E-02    0.32110E-02
  7  -7          -0.47027E-02    0.32262E-02        -0.46799E-02    0.32110E-02
  8   0           0.52583E-01    0.00000E+00         0.56808E-01   -0.10032E-13
  8   1           0.58948E-03   -0.93470E-03         0.52706E-03   -0.83351E-03
  8  -1          -0.58948E-03   -0.93470E-03        -0.52706E-03   -0.83351E-03
  8   2           0.10434E-03    0.31303E-02         0.11460E-03    0.34678E-02
  8  -2           0.10434E-03   -0.31303E-02         0.11460E-03   -0.34678E-02
  8   3          -0.88131E-03   -0.12356E-02        -0.11219E-02   -0.16021E-02
  8  -3           0.88131E-03   -0.12356E-02         0.11219E-02   -0.16021E-02
  8   4           0.19329E-01    0.88223E-05         0.20913E-01    0.88865E-05
  8  -4           0.19329E-01   -0.88223E-05         0.20913E-01   -0.88865E-05
  8   5          -0.56739E-02    0.85091E-02        -0.61310E-02    0.91891E-02
  8  -5           0.56739E-02    0.85091E-02         0.61310E-02    0.91891E-02
  8   6           0.32735E-03   -0.14305E-02         0.33168E-03   -0.14850E-02
  8  -6           0.32735E-03    0.14305E-02         0.33168E-03    0.14850E-02
  8   7          -0.33939E-02   -0.50289E-02        -0.38693E-02   -0.57477E-02
  8  -7           0.33939E-02   -0.50289E-02         0.38693E-02   -0.57477E-02
  8   8           0.29758E-01   -0.14367E-05         0.32160E-01   -0.21665E-05
  8  -8           0.29758E-01    0.14367E-05         0.32160E-01    0.21665E-05
  8   1           0.58948E-03   -0.93470E-03         0.52706E-03   -0.83351E-03
  8  -1          -0.58948E-03   -0.93470E-03        -0.52706E-03   -0.83351E-03
  8   2           0.10434E-03    0.31303E-02         0.11460E-03    0.34678E-02
  8  -2           0.10434E-03   -0.31303E-02         0.11460E-03   -0.34678E-02
  8   3          -0.88131E-03   -0.12356E-02        -0.11219E-02   -0.16021E-02
  8  -3           0.88131E-03   -0.12356E-02         0.11219E-02   -0.16021E-02
  8   4           0.19329E-01    0.88223E-05         0.20913E-01    0.88865E-05
  8  -4           0.19329E-01   -0.88223E-05         0.20913E-01   -0.88865E-05
  8   5          -0.56739E-02    0.85091E-02        -0.61310E-02    0.91891E-02
  8  -5           0.56739E-02    0.85091E-02         0.61310E-02    0.91891E-02
  8   6           0.32735E-03   -0.14305E-02         0.33168E-03   -0.14850E-02
  8  -6           0.32735E-03    0.14305E-02         0.33168E-03    0.14850E-02
  8   7          -0.33939E-02   -0.50289E-02        -0.38693E-02   -0.57477E-02
  8  -7           0.33939E-02   -0.50289E-02         0.38693E-02   -0.57477E-02
  8   8           0.29758E-01   -0.14367E-05         0.32160E-01   -0.21665E-05
  8  -8           0.29758E-01    0.14367E-05         0.32160E-01    0.21665E-05

          integral of pseudo charge density inside the slab=        0.000000   0.000000

     coulomb potential in the interstitial region:

          density-coulomb potential integrals


          interstitial :                       0.7810997437

          muffin tin spheres :              -845.1904555410

          total density-coulomb potenti     -844.4093557974
 wrtdop title:alpha Si                                                                ordered*

     interstitial potential average (vbar) = -0.027942

 999idsprs in starting of nmtxad= 0

          density-effective potential integrals for spin  1


          interstitial :                      -0.4747263120

          muffin tin spheres :              -897.8440264522

          total density-effective poten     -898.3187527641

          charge density-energy density integrals


          interstitial :                      -0.9796690843

          muffin tin spheres :               -40.7642382604

          total charge density-energy d      -41.7439073447
 vgen: pottot deleted
 wrtdop title:alpha Si                                                                ordered*
 IT=   7  ISEC1=  99 standard diagonalization
  Atom  1 3s branch from -4.72 to  1.07 htr. ; e_l = -0.1342
  Atom  1 3p branch from -3.11 to  1.55 htr. ; e_l =  0.0499
  Atom  1 3d branch from -9.99 to  1.95 htr. ; e_l =  0.2438
  Atom  1 4f branch from -9.99 to  4.11 htr. ; e_l =  0.4115
  Atom  2 3s branch from -4.72 to  1.07 htr. ; e_l = -0.1342
  Atom  2 3p branch from -3.11 to  1.55 htr. ; e_l =  0.0499
  Atom  2 3d branch from -9.99 to  1.95 htr. ; e_l =  0.2438
  Atom  2 4f branch from -9.99 to  4.11 htr. ; e_l =  0.4115


 wavefunction parameters for atom type  1:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.13422        4.7798488E-01  -2.4468376E-01    2       -3.1234446E-01  -7.4530801E-01    2   1.0767788E-01   4.3267158E-01
  1   0.04988       -5.5346588E-01   9.9457380E-02    1        2.6601051E-01   7.3397466E-01    2   7.9530915E-02   4.3268664E-01
  2   0.24376        6.4437292E-01   1.6340159E-01    0       -2.3291294E-01  -7.3054356E-01    1   6.5187948E-02   4.3268414E-01
  3   0.41154        8.3799269E-01   7.5542236E-01    0       -1.2158772E-01  -6.2593483E-01    1   1.3122980E-02   4.3267873E-01
  4   0.41154        9.7735947E-01   1.4626616E+00    0       -8.2133613E-02  -5.6560754E-01    1   4.9168470E-03   4.3266820E-01
  5   0.41154        1.0889864E+00   2.2153678E+00    0       -6.1661426E-02  -5.2274136E-01    1   2.3795949E-03   4.3265549E-01
  6   0.41154        1.1859723E+00   3.0206105E+00    0       -4.8925509E-02  -4.8940882E-01    1   1.3189973E-03   4.3264039E-01
  7   0.41154        1.2734307E+00   3.8786550E+00    0       -4.0220084E-02  -4.6223376E-01    1   7.9809552E-04   4.3262283E-01
  8   0.41154        1.3539854E+00   4.7880956E+00    0       -3.3904901E-02  -4.3940112E-01    1   5.1413842E-04   4.3260278E-01


 wavefunction parameters for atom type  2:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.13422        4.7798488E-01  -2.4468377E-01    2       -3.1234446E-01  -7.4530801E-01    2   1.0767788E-01   4.3267158E-01
  1   0.04988       -5.5346588E-01   9.9457389E-02    1        2.6601051E-01   7.3397466E-01    2   7.9530916E-02   4.3268664E-01
  2   0.24376        6.4437291E-01   1.6340158E-01    0       -2.3291294E-01  -7.3054357E-01    1   6.5187949E-02   4.3268414E-01
  3   0.41154        8.3799269E-01   7.5542236E-01    0       -1.2158772E-01  -6.2593483E-01    1   1.3122980E-02   4.3267873E-01
  4   0.41154        9.7735947E-01   1.4626616E+00    0       -8.2133613E-02  -5.6560754E-01    1   4.9168471E-03   4.3266820E-01
  5   0.41154        1.0889864E+00   2.2153678E+00    0       -6.1661426E-02  -5.2274136E-01    1   2.3795949E-03   4.3265549E-01
  6   0.41154        1.1859723E+00   3.0206105E+00    0       -4.8925509E-02  -4.8940882E-01    1   1.3189973E-03   4.3264039E-01
  7   0.41154        1.2734307E+00   3.8786550E+00    0       -4.0220084E-02  -4.6223376E-01    1   7.9809553E-04   4.3262283E-01
  8   0.41154        1.3539854E+00   4.7880956E+00    0       -3.3904901E-02  -4.3940112E-01    1   5.1413842E-04   4.3260278E-01


 k=(    0.444444    0.444444    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.153398   -0.031392    0.159182    0.163761    0.258473
         0.324502    0.329799    0.487658


 k=(    0.333333    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155923   -0.016740    0.134286    0.147015    0.282662
         0.326942    0.355345    0.456750


 k=(    0.222222    0.444444    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149720   -0.001658    0.095471    0.126732    0.263525
         0.363015    0.395535    0.410602


 k=(    0.111111    0.444444    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133997   -0.013721    0.094161    0.110346    0.239966
         0.284506    0.479113    0.481098


 k=(    0.000000    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.109162   -0.046597    0.102168    0.107496    0.227922
         0.244375    0.544359    0.545148


 k=(   -0.111111    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.085717   -0.070015    0.085637    0.103476    0.233431
         0.270477    0.542537    0.551502


 k=(    0.222222    0.555556    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107891   -0.042986    0.061437    0.114068    0.246250
         0.342904    0.468402    0.471580


 k=(    0.333333    0.555556    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128356   -0.032931    0.076570    0.132076    0.268656
         0.386725    0.397660    0.434737


 k=(    0.555556    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143693   -0.035878    0.125049    0.151738    0.282729
         0.327698    0.346452    0.501132


 k=(    0.444444    0.333333    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155965   -0.016548    0.132355    0.148815    0.283136
         0.327928    0.353640    0.455650


 k=(    0.333333    0.333333    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165254   -0.000227    0.121176    0.166839    0.290078
         0.336836    0.339159    0.476402


 k=(    0.222222    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164743    0.017550    0.096290    0.146721    0.303906
         0.336151    0.384237    0.403046


 k=(    0.111111    0.333333    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153891    0.012502    0.094856    0.118898    0.273180
         0.310722    0.402618    0.466363


 k=(    0.000000    0.333333    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133012   -0.016484    0.090504    0.115889    0.245177
         0.279154    0.479846    0.483604


 k=(   -0.111111    0.333333    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104272   -0.048633    0.083611    0.094200    0.265553
         0.279881    0.470531    0.535858


 k=(   -0.222222    0.333333    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.090146   -0.059436    0.061244    0.092508    0.276954
         0.343609    0.448910    0.457985


 k=(    0.666667    0.333333    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114491   -0.036007    0.057227    0.109484    0.294862
         0.369456    0.431763    0.447631


 k=(    0.555556    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138255   -0.025821    0.090569    0.132639    0.308821
         0.319008    0.402707    0.446591


 k=(    0.444444    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149780   -0.001166    0.093653    0.128027    0.264807
         0.361699    0.395541    0.409332


 k=(    0.333333    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164751    0.017762    0.095486    0.147405    0.304253
         0.336989    0.383593    0.401093


 k=(    0.222222    0.222222    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169543    0.026721    0.085118    0.166196    0.303601
         0.364646    0.374664    0.418952


 k=(    0.111111    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163728    0.011704    0.100795    0.146553    0.310785
         0.335874    0.377936    0.407217


 k=(    0.000000    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147615   -0.009236    0.094795    0.132880    0.270544
         0.355959    0.397459    0.412170


 k=(   -0.111111    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122554   -0.030911    0.069083    0.113133    0.290939
         0.346567    0.390185    0.478987


 k=(   -0.222222    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.093544   -0.055141    0.059155    0.085476    0.343616
         0.355225    0.374542    0.436111


 k=(    0.666667    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.097670   -0.048907    0.061435    0.080816    0.345977
         0.349947    0.373266    0.440458


 k=(    0.555556    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.126056   -0.022277    0.070626    0.105783    0.286267
         0.351578    0.385164    0.480519


 k=(    0.444444    0.111111    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.134029   -0.013529    0.092866    0.111402    0.241077
         0.283492    0.478211    0.480764


 k=(    0.333333    0.111111    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153867    0.012318    0.095097    0.118876    0.273354
         0.310445    0.402664    0.466179


 k=(    0.222222    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163700    0.011393    0.101708    0.145929    0.310384
         0.335112    0.378553    0.408965


 k=(    0.111111    0.111111    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163124   -0.008768    0.128665    0.164485    0.292595
         0.338475    0.348838    0.472652


 k=(    0.000000    0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152585   -0.026591    0.133277    0.154396    0.287722
         0.333059    0.355713    0.449900


 k=(   -0.111111    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133446   -0.037486    0.089673    0.141241    0.310484
         0.328630    0.400307    0.440620


 k=(   -0.222222    0.111111    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108255   -0.047717    0.056298    0.116397    0.300626
         0.373413    0.424462    0.444370


 k=(    0.666667    0.111111    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.083773   -0.066977    0.057328    0.097589    0.282913
         0.337747    0.447139    0.458881


 k=(    0.555556    0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.106071   -0.045420    0.084560    0.091412    0.267445
         0.278529    0.465038    0.535341


 k=(    0.444444    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.109016   -0.046896    0.103130    0.106772    0.228359
         0.243841    0.544484    0.544988


 k=(    0.333333    0.000000    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132875   -0.017083    0.091968    0.115102    0.244157
         0.279899    0.479775    0.484918


 k=(    0.222222    0.000000    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147507   -0.009866    0.096458    0.131936    0.269177
         0.357041    0.397247    0.413868


 k=(    0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152525   -0.026816    0.134560    0.153331    0.287250
         0.331488    0.357926    0.451025


 k=(    0.000000    0.000000    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.148759   -0.042681    0.159941    0.169016    0.262033
         0.326341    0.337097    0.491840


 k=(   -0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.138092   -0.048280    0.125548    0.158176    0.286960
         0.332290    0.348665    0.505596


 k=(    0.222222    0.000000    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122624   -0.045249    0.077810    0.137568    0.274684
         0.388871    0.399526    0.428367


 k=(    0.333333    0.000000    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.102796   -0.051395    0.059776    0.119014    0.252178
         0.337177    0.468514    0.474098


 k=(    0.555556    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.078595   -0.077483    0.081161    0.108147    0.239426
         0.264694    0.538460    0.551294


 k=(    0.444444   -0.111111    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.084231   -0.071690    0.084861    0.104451    0.234648
         0.269244    0.541638    0.551613


 k=(    0.333333   -0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103718   -0.049631    0.084108    0.094282    0.265760
         0.279495    0.471662    0.535997


 k=(    0.222222   -0.111111    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122246   -0.031800    0.069862    0.113127    0.289472
         0.347872    0.391252    0.479165


 k=(    0.111111   -0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133280   -0.037866    0.089631    0.141630    0.309741
         0.329291    0.400111    0.441782


 k=(    0.000000   -0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.138033   -0.048347    0.124364    0.159541    0.287414
         0.333852    0.346191    0.505448


 k=(    0.111111    0.111111    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.138271   -0.048085    0.130356    0.152706    0.285764
         0.330200    0.353376    0.506229


 k=(    0.222222    0.111111    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133967   -0.036900    0.095263    0.134630    0.313853
         0.320984    0.407321    0.441191


 k=(    0.333333    0.111111    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123360   -0.029495    0.072607    0.108463    0.290645
         0.347750    0.386263    0.483681


 k=(    0.444444    0.111111    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105284   -0.046875    0.084711    0.092123    0.266867
         0.278852    0.467390    0.535748


 k=(    0.555556    0.222222    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107625   -0.043260    0.060309    0.115165    0.247531
         0.341654    0.466798    0.471760


 k=(    0.333333   -0.222222    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.088951   -0.060951    0.060521    0.093563    0.278173
         0.342353    0.448132    0.458645


 k=(    0.222222   -0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.092475   -0.056681    0.058962    0.086199    0.344215
         0.354991    0.374988    0.435255


 k=(    0.111111   -0.222222    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.107881   -0.048254    0.055797    0.117052    0.302104
         0.371667    0.424021    0.444469


 k=(    0.000000    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122536   -0.045216    0.076593    0.138638    0.276142
         0.388342    0.397546    0.428101


 k=(    0.111111    0.222222    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133962   -0.036765    0.093863    0.135999    0.313606
         0.322426    0.405620    0.440184


 k=(    0.222222    0.222222    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139273   -0.021755    0.074091    0.147234    0.284791
         0.388180    0.390978    0.463993


 k=(    0.333333    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136569   -0.012690    0.062827    0.127419    0.315502
         0.353212    0.384205    0.457684


 k=(    0.444444    0.222222    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125522   -0.023560    0.069311    0.108229    0.285720
         0.351554    0.387833    0.477769


 k=(    0.555556    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128237   -0.032964    0.075174    0.133448    0.269979
         0.385818    0.396162    0.434414


 k=(    0.333333    0.666667    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114177   -0.036529    0.056610    0.110330    0.296247
         0.367819    0.430961    0.448102


 k=(    0.222222    0.666667    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.096952   -0.050033    0.060889    0.081817    0.344890
         0.351659    0.373514    0.439549


 k=(    0.111111    0.666667    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.082211   -0.068673    0.056578    0.098431    0.284215
         0.336528    0.447222    0.458607


 k=(    0.000000    0.333333    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.102718   -0.051268    0.058585    0.119859    0.253573
         0.335995    0.467429    0.473643


 k=(    0.111111    0.333333    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123387   -0.029180    0.071080    0.109678    0.291882
         0.346447    0.386444    0.482246


 k=(    0.222222    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136588   -0.012600    0.062758    0.127391    0.315621
         0.352834    0.384519    0.457934


 k=(    0.333333    0.333333    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141269   -0.014564    0.068439    0.148096    0.284994
         0.382543    0.384031    0.470042


 k=(    0.444444    0.333333    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137937   -0.026313    0.087636    0.136320    0.306770
         0.323252    0.398864    0.446764


 k=(    0.444444    0.555556    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143639   -0.035938    0.123423    0.153599    0.283168
         0.328528    0.344682    0.501055


 k=(    0.333333    0.555556    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138129   -0.026146    0.090409    0.133120    0.307670
         0.320093    0.402573    0.447688


 k=(    0.222222    0.555556    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125858   -0.022946    0.071319    0.105700    0.284839
         0.353072    0.386102    0.480637


 k=(    0.111111    0.555556    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105822   -0.045851    0.083953    0.092250    0.266598
         0.279323    0.466159    0.535373


 k=(    0.000000    0.555556    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.079584   -0.076394    0.080201    0.108886    0.240748
         0.263522    0.537495    0.551117


 k=(    0.111111    0.444444    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105430   -0.046577    0.084095    0.092536    0.266332
         0.279468    0.467335    0.535556


 k=(    0.222222    0.444444    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125592   -0.023584    0.070638    0.106939    0.284585
         0.353047    0.387442    0.479224


 k=(    0.333333    0.444444    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137970   -0.026393    0.088936    0.134957    0.306734
         0.322147    0.400618    0.447784


 k=(    0.444444    0.444444    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143586   -0.035999    0.122030    0.155205    0.283629
         0.329905    0.342353    0.501014


 k=(    0.444444    0.444444    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.156009   -0.016345    0.130794    0.150211    0.283621
         0.329270    0.351568    0.454586


 k=(    0.333333    0.444444    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165357    0.000085    0.122332    0.165040    0.289722
         0.335578    0.341423    0.475779


 k=(    0.222222    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164902    0.018232    0.097206    0.144876    0.304715
         0.334309    0.384338    0.404623


 k=(    0.111111    0.444444    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154114    0.013754    0.094513    0.117932    0.273552
         0.310727    0.401266    0.466592


 k=(    0.000000    0.444444    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133315   -0.015429    0.089511    0.115951    0.245390
         0.279170    0.478929    0.482353


 k=(   -0.111111    0.444444    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104669   -0.047927    0.083496    0.093920    0.265814
         0.279721    0.469417    0.535833


 k=(   -0.222222    0.444444    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.090097   -0.059507    0.061275    0.092507    0.276949
         0.343587    0.449296    0.457685


 k=(    0.666667    0.444444    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114370   -0.036159    0.056694    0.110140    0.294759
         0.370383    0.432214    0.446666


 k=(    0.555556    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138226   -0.025724    0.089174    0.134063    0.308707
         0.320298    0.400852    0.445667


 k=(    0.444444    0.333333    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165458    0.000382    0.123687    0.163036    0.289402
         0.335324    0.342666    0.475524


 k=(    0.333333    0.333333    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.180068    0.017388    0.165305    0.169905    0.265657
         0.329396    0.334577    0.490639


 k=(    0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184240    0.039321    0.148932    0.150772    0.287387
         0.330521    0.364772    0.404941


 k=(    0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177458    0.049454    0.122819    0.130227    0.258548
         0.324814    0.404521    0.416987


 k=(    0.000000    0.333333    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159915    0.022282    0.115872    0.121703    0.233386
         0.280520    0.469468    0.469663


 k=(   -0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133115   -0.016739    0.097055    0.110171    0.239394
         0.284294    0.480879    0.485732


 k=(   -0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.105626   -0.047480    0.064032    0.113881    0.246023
         0.342873    0.472489    0.473737


 k=(    0.666667    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.113910   -0.036241    0.048612    0.126409    0.260357
         0.422236    0.445081    0.458597


 k=(    0.555556    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141909   -0.012990    0.069938    0.145211    0.282254
         0.384160    0.386794    0.469509


 k=(    0.444444    0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.165068    0.019107    0.097424    0.143605    0.306014
         0.333179    0.383737    0.404307


 k=(    0.333333    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184285    0.039701    0.146981    0.152240    0.287778
         0.331726    0.363235    0.403665


 k=(    0.222222    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192995    0.061094    0.129999    0.182403    0.301561
         0.331734    0.343327    0.428842


 k=(    0.111111    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190536    0.068319    0.120592    0.162036    0.293232
         0.343426    0.367123    0.388787


 k=(    0.000000    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176959    0.044895    0.121009    0.136562    0.261563
         0.320998    0.406567    0.419107


 k=(   -0.111111    0.222222    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153228    0.009120    0.094815    0.122532    0.272076
         0.310572    0.406493    0.466295


 k=(   -0.222222    0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123576   -0.029215    0.073702    0.107851    0.284059
         0.353642    0.389832    0.482704


 k=(    0.666667    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.112212   -0.041077    0.059551    0.110040    0.294518
         0.374819    0.427808    0.446578


 k=(    0.555556    0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137576   -0.009376    0.062735    0.124816    0.312788
         0.354159    0.384480    0.458607


 k=(    0.444444    0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154312    0.014816    0.094570    0.116777    0.274121
         0.310461    0.399951    0.466700


 k=(    0.333333    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177501    0.050030    0.120847    0.131517    0.259331
         0.324265    0.404165    0.416066


 k=(    0.222222    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190530    0.068182    0.120720    0.162107    0.293275
         0.343496    0.366911    0.388594


 k=(    0.111111    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192439    0.054686    0.136532    0.180841    0.304668
         0.338553    0.343213    0.424664


 k=(    0.000000    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183134    0.031642    0.148481    0.157877    0.292529
         0.335374    0.365805    0.398038


 k=(   -0.111111    0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163243    0.009922    0.097740    0.152165    0.307882
         0.341477    0.377938    0.402831


 k=(   -0.222222    0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135071   -0.017102    0.062377    0.131364    0.319160
         0.351797    0.384080    0.457451


 k=(   -0.333333    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110520   -0.043643    0.056412    0.114143    0.301271
         0.366868    0.425436    0.447045


 k=(    0.555556    0.111111    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.124777   -0.025532    0.070152    0.108137    0.291046
         0.347152    0.384667    0.481543


 k=(    0.444444    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133481   -0.014992    0.089996    0.115222    0.244575
         0.279951    0.477886    0.482485


 k=(    0.333333    0.000000    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159890    0.022054    0.116930    0.120936    0.233528
         0.280269    0.469309    0.469661


 k=(    0.222222    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176890    0.044026    0.122906    0.135763    0.260938
         0.321161    0.406598    0.420286


 k=(    0.111111    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183079    0.031211    0.149337    0.157638    0.292174
         0.333704    0.367648    0.399292


 k=(    0.000000    0.000000    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178227    0.008492    0.166508    0.175615    0.269522
         0.331239    0.341651    0.491439


 k=(   -0.111111    0.000000    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162797   -0.009655    0.124711    0.170359    0.293415
         0.337759    0.346724    0.472732


 k=(   -0.222222    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138252   -0.023941    0.071585    0.151647    0.288455
         0.384119    0.388952    0.464586


 k=(   -0.333333    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.109415   -0.044237    0.046626    0.132124    0.266643
         0.415331    0.438829    0.463259


 k=(    0.555556    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104599   -0.048081    0.058031    0.119145    0.252331
         0.337120    0.465529    0.473090


 k=(    0.444444   -0.111111    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104517   -0.048228    0.083993    0.093624    0.266312
         0.279143    0.469477    0.536028


 k=(    0.333333   -0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132844   -0.017579    0.096733    0.111168    0.240301
         0.283244    0.481060    0.486470


 k=(    0.222222   -0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152978    0.007810    0.095282    0.123456    0.271898
         0.310285    0.407812    0.466209


 k=(    0.111111   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163050    0.008979    0.097806    0.153238    0.306794
         0.342302    0.378519    0.403195


 k=(    0.000000   -0.111111    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162683   -0.009980    0.123753    0.171947    0.293777
         0.337920    0.345565    0.473770


 k=(   -0.111111   -0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152361   -0.027417    0.140356    0.148001    0.285930
         0.328584    0.362645    0.454591


 k=(   -0.222222   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133502   -0.037929    0.094701    0.136148    0.310287
         0.324239    0.406515    0.445104


 k=(   -0.333333   -0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108703   -0.047329    0.058394    0.114040    0.301027
         0.370143    0.422398    0.447537


 k=(    0.555556   -0.111111    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.083517   -0.067292    0.057400    0.097594    0.282894
         0.337698    0.447920    0.458324


 k=(    0.444444   -0.222222    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.088808   -0.061154    0.060601    0.093561    0.278157
         0.342297    0.449060    0.457944


 k=(    0.333333   -0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104483   -0.049377    0.063769    0.114913    0.247228
         0.341644    0.472326    0.474495


 k=(    0.222222   -0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122791   -0.031096    0.073481    0.109321    0.285043
         0.352449    0.390942    0.482401


 k=(    0.111111   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134527   -0.018718    0.062501    0.132491    0.320706
         0.351271    0.383800    0.457064


 k=(    0.000000   -0.222222    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.137901   -0.024723    0.070966    0.152868    0.289934
         0.382852    0.387983    0.465234


 k=(   -0.111111   -0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133332   -0.038175    0.093288    0.137876    0.309540
         0.326102    0.404631    0.445246


 k=(   -0.222222   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122943   -0.045242    0.081980    0.133568    0.270926
         0.390898    0.403848    0.429992


 k=(    0.333333    0.222222    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109787   -0.045783    0.060394    0.111514    0.297146
         0.374692    0.423296    0.447993


 k=(    0.444444    0.222222    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.095951   -0.051646    0.060834    0.082568    0.346643
         0.350043    0.374136    0.438881


 k=(    0.444444    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113920   -0.036865    0.055595    0.111618    0.296006
         0.369655    0.431793    0.446467


 k=(    0.333333    0.666667    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.113035   -0.037904    0.048270    0.127596    0.261634
         0.420550    0.443710    0.459417


 k=(    0.222222    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110945   -0.043462    0.059349    0.111457    0.295723
         0.375652    0.426071    0.446094


 k=(    0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109189   -0.046050    0.056338    0.115361    0.302576
         0.367585    0.424001    0.446262


 k=(    0.000000   -0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.108446   -0.045852    0.046311    0.133054    0.268057
         0.413948    0.437455    0.465178


 k=(   -0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108245   -0.047913    0.057313    0.115304    0.302463
         0.369243    0.422481    0.446488


 k=(    0.222222    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109701   -0.045833    0.059798    0.112138    0.297092
         0.375555    0.423779    0.446857


 k=(    0.333333    0.333333    0.666667):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.112137   -0.039583    0.047995    0.128663    0.263012
         0.418762    0.442240    0.460767


 k=(    0.444444    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113602   -0.037394    0.055068    0.112362    0.297481
         0.367915    0.430851    0.447158


 k=(    0.444444    0.555556    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138067   -0.025969    0.087718    0.135902    0.307641
         0.322439    0.398966    0.445742


 k=(    0.333333    0.555556    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141591   -0.013763    0.069130    0.146721    0.283561
         0.383102    0.385712    0.469561


 k=(    0.222222    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137095   -0.010941    0.062664    0.126150    0.314145
         0.353439    0.384617    0.458380


 k=(    0.111111    0.555556    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.124103   -0.027193    0.069845    0.109532    0.292077
         0.346125    0.385663    0.481177


 k=(    0.000000    0.555556    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103647   -0.049580    0.057710    0.119925    0.253650
         0.335958    0.465900    0.473195


 k=(   -0.111111    0.555556    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.082091   -0.068815    0.056605    0.098434    0.284208
         0.336510    0.447509    0.458405


 k=(    0.222222    0.444444    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.096093   -0.051393    0.060628    0.082637    0.345366
         0.351571    0.373953    0.438733


 k=(    0.333333    0.444444    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113739   -0.037210    0.055552    0.111727    0.297621
         0.367003    0.430474    0.447825


 k=(    0.555556    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128126   -0.032980    0.073872    0.134678    0.271404
         0.385060    0.394354    0.434209


 k=(    0.444444    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149847   -0.000619    0.091923    0.129152    0.266168
         0.360251    0.395977    0.407727


 k=(    0.333333    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164922    0.018697    0.095510    0.146270    0.305439
         0.335935    0.382994    0.400835


 k=(    0.222222    0.444444    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169817    0.028465    0.084817    0.164645    0.302193
         0.366234    0.373986    0.419496


 k=(    0.111111    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164119    0.013823    0.099769    0.145616    0.310565
         0.335073    0.378473    0.405837


 k=(    0.000000    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148153   -0.007040    0.092793    0.133089    0.270652
         0.355926    0.397095    0.410241


 k=(   -0.111111    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123278   -0.028963    0.067918    0.112981    0.291092
         0.346251    0.389448    0.477859


 k=(   -0.222222    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.094428   -0.053853    0.059446    0.084746    0.343285
         0.354989    0.374238    0.437069


 k=(    0.666667    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.097593   -0.049052    0.061574    0.080761    0.347597
         0.348192    0.373357    0.440553


 k=(    0.555556    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.126006   -0.022185    0.069220    0.107079    0.287499
         0.349989    0.385566    0.479083


 k=(    0.444444    0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.165080    0.019360    0.096526    0.144322    0.306392
         0.333966    0.383045    0.402464


 k=(    0.333333    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184331    0.040115    0.145592    0.153093    0.288161
         0.333209    0.361426    0.402423


 k=(    0.222222    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.193077    0.061811    0.130719    0.180414    0.301272
         0.333513    0.342333    0.428451


 k=(    0.111111    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190657    0.070058    0.120117    0.160402    0.293650
         0.342930    0.366459    0.389069


 k=(    0.000000    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177127    0.046708    0.118909    0.136681    0.261771
         0.321320    0.405799    0.417553


 k=(   -0.111111    0.333333    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153453    0.010303    0.094439    0.121682    0.272417
         0.310581    0.405196    0.466282


 k=(   -0.222222    0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123848   -0.028621    0.074448    0.106616    0.284283
         0.353638    0.388566    0.484069


 k=(    0.666667    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.112304   -0.041006    0.060155    0.109387    0.294576
         0.373907    0.427301    0.447834


 k=(    0.555556    0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137565   -0.009433    0.062780    0.124832    0.312728
         0.354380    0.384280    0.458470


 k=(    0.444444    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.170087    0.030182    0.084646    0.162948    0.300965
         0.367658    0.373428    0.420003


 k=(    0.333333    0.222222    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.193158    0.062477    0.131680    0.178219    0.301068
         0.335831    0.340751    0.428173


 k=(    0.222222    0.222222    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205980    0.086348    0.176874    0.181625    0.278909
         0.327944    0.332423    0.438734


 k=(    0.111111    0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207518    0.107884    0.160404    0.167990    0.285279
         0.332286    0.359214    0.385615


 k=(    0.000000    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197635    0.094282    0.142125    0.149275    0.254278
         0.336299    0.397058    0.398014


 k=(   -0.111111    0.222222    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176960    0.044327    0.128757    0.130024    0.257856
         0.323605    0.407011    0.421590


 k=(   -0.222222    0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148181   -0.008106    0.101480    0.126148    0.263123
         0.362182    0.397537    0.416435


 k=(   -0.333333    0.222222    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.125423   -0.040145    0.081480    0.131431    0.268359
         0.389809    0.403341    0.432749


 k=(    0.555556    0.222222    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.140758   -0.017350    0.073427    0.144714    0.282125
         0.386808    0.391572    0.466319


 k=(    0.444444    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164478    0.015629    0.099789    0.143886    0.310161
         0.333363    0.379623    0.406188


 k=(    0.333333    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190773    0.071643    0.119978    0.158623    0.294181
         0.342416    0.365644    0.389208


 k=(    0.222222    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207541    0.108494    0.161457    0.166136    0.285571
         0.333057    0.358082    0.384926


 k=(    0.111111    0.111111    0.222222):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213152    0.121658    0.157037    0.195575    0.312673
         0.317047    0.322868    0.399016


 k=(    0.000000    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207245    0.100814    0.165476    0.170522    0.287270
         0.334346    0.358874    0.384468


 k=(   -0.111111    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190171    0.063908    0.120742    0.167514    0.291890
         0.343722    0.369995    0.388704


 k=(   -0.222222    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163595    0.011329    0.098706    0.150217    0.303862
         0.338377    0.382687    0.408067


 k=(   -0.333333    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135233   -0.033635    0.092071    0.136431    0.307283
         0.324750    0.403907    0.447836


 k=(    0.555556    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135947   -0.031945    0.092850    0.134043    0.312425
         0.320035    0.404888    0.441858


 k=(    0.444444    0.000000    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148576   -0.005487    0.092458    0.132341    0.269403
         0.357068    0.396350    0.410082


 k=(    0.333333    0.000000    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177227    0.047607    0.118783    0.135957    0.261362
         0.321831    0.404987    0.417251


 k=(    0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197628    0.093909    0.143443    0.148423    0.254354
         0.336074    0.397123    0.397765


 k=(    0.111111    0.000000    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207216    0.100055    0.165046    0.172052    0.287032
         0.333446    0.359893    0.384899


 k=(    0.000000    0.000000    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205362    0.077624    0.179059    0.188482    0.283454
         0.328333    0.336763    0.434943


 k=(   -0.111111    0.000000    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192186    0.052865    0.133658    0.187321    0.305022
         0.332267    0.347664    0.425437


 k=(   -0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168716    0.022026    0.085321    0.171206    0.306871
         0.361139    0.376533    0.417442


 k=(   -0.333333    0.000000    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139100   -0.021094    0.069410    0.152011    0.288527
         0.381129    0.386776    0.467395


 k=(    0.555556    0.000000    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124873   -0.040200    0.074614    0.138029    0.274865
         0.385976    0.395764    0.430687


 k=(    0.444444   -0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123685   -0.027942    0.067598    0.112784    0.289771
         0.347276    0.389785    0.476876


 k=(    0.333333   -0.111111    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153429    0.010127    0.094650    0.121683    0.272583
         0.310312    0.405244    0.466091


 k=(    0.222222   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176836    0.043143    0.128716    0.131325    0.258420
         0.322712    0.407453    0.422191


 k=(    0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190042    0.062272    0.121281    0.169037    0.291593
         0.343725    0.370866    0.388583


 k=(    0.000000   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192099    0.052173    0.133127    0.189110    0.305361
         0.330556    0.348616    0.425854


 k=(   -0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182926    0.030099    0.151087    0.157452    0.291072
         0.330035    0.371897    0.403214


 k=(   -0.222222   -0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163154    0.008891    0.100846    0.149888    0.306545
         0.337920    0.380549    0.410178


 k=(   -0.333333   -0.111111    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135038   -0.017238    0.062476    0.131414    0.318918
         0.352446    0.383608    0.457000


 k=(   -0.444444   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109988   -0.044244    0.054477    0.116529    0.300708
         0.370276    0.427345    0.444538


 k=(    0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.094269   -0.054121    0.059630    0.084696    0.343810
         0.354166    0.374473    0.437209


 k=(    0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123342   -0.029929    0.074976    0.106876    0.285506
         0.352416    0.388452    0.485022


 k=(    0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147709   -0.009797    0.101660    0.127245    0.264287
         0.360840    0.397983    0.417082


 k=(    0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163209    0.009451    0.098989    0.151732    0.304469
         0.339779    0.381539    0.407754


 k=(    0.000000   -0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168430    0.020384    0.085655    0.172603    0.308344
         0.359584    0.377417    0.416842


 k=(   -0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162988    0.008259    0.100032    0.151550    0.305850
         0.339521    0.380494    0.408813


 k=(   -0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147238   -0.011447    0.101944    0.128149    0.265539
         0.359483    0.398622    0.417517


 k=(   -0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122562   -0.031780    0.074739    0.108308    0.286575
         0.351178    0.389573    0.484705


 k=(   -0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.093272   -0.055586    0.059439    0.085406    0.344516
         0.353836    0.374934    0.436327


 k=(    0.444444    0.666667    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.096737   -0.050430    0.061236    0.081692    0.347150
         0.349014    0.373785    0.439794


 k=(    0.333333    0.666667    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.111124   -0.043342    0.060548    0.110182    0.295836
         0.373874    0.425080    0.448493


 k=(   -0.222222    0.333333   -0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124212   -0.042678    0.081691    0.132576    0.269590
         0.390228    0.403725    0.431407


 k=(    0.111111   -0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134214   -0.036025    0.091986    0.138036    0.307992
         0.326369    0.403319    0.446634


 k=(    0.000000   -0.333333    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138333   -0.023307    0.069896    0.153054    0.289969
         0.381318    0.386904    0.466764


 k=(   -0.111111   -0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134514   -0.018769    0.062537    0.132510    0.320604
         0.351524    0.383628    0.456887


 k=(   -0.222222   -0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122282   -0.032354    0.073990    0.109518    0.286336
         0.351206    0.390797    0.483452


 k=(   -0.333333   -0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103309   -0.051268    0.063541    0.115825    0.248520
         0.340376    0.473202    0.474225


 k=(   -0.444444   -0.333333    0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.087542   -0.062711    0.059928    0.094517    0.279450
         0.340985    0.448421    0.458485


 k=(    0.444444    0.555556    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125738   -0.022830    0.068586    0.108286    0.287205
         0.349994    0.386891    0.477746


 k=(    0.333333    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137065   -0.011088    0.062780    0.126195    0.313972
         0.354034    0.384099    0.457998


 k=(    0.222222    0.555556    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.140025   -0.019549    0.073718    0.146045    0.283393
         0.387236    0.391554    0.465053


 k=(    0.111111    0.555556    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134969   -0.034278    0.092633    0.135753    0.312699
         0.322106    0.404369    0.440587


 k=(    0.000000    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.123693   -0.042667    0.075005    0.138873    0.276230
         0.386812    0.395656    0.429371


 k=(    0.111111    0.444444   -0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108793   -0.046470    0.054881    0.117121    0.302153
         0.370070    0.425479    0.444482


 k=(    0.222222    0.444444   -0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.092365   -0.056855    0.059065    0.086175    0.344560
         0.354458    0.375142    0.435333


 k=(    0.333333    0.444444   -0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.087643   -0.062572    0.059879    0.094517    0.279460
         0.341019    0.447888    0.458878


 k=(    0.555556    0.555556    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107394   -0.043459    0.059216    0.116145    0.248900
         0.340348    0.465607    0.471570


 k=(    0.444444    0.444444    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.134081   -0.013248    0.091592    0.112331    0.242232
         0.282473    0.478248    0.479498


 k=(    0.333333    0.444444    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154077    0.013451    0.094923    0.117879    0.273838
         0.310277    0.401335    0.466303


 k=(    0.222222    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164068    0.013199    0.101647    0.144308    0.309754
         0.333574    0.379729    0.409336


 k=(    0.111111    0.444444    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163671   -0.006767    0.128366    0.163217    0.291627
         0.336831    0.349235    0.472762


 k=(    0.000000    0.444444    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153349   -0.024356    0.131422    0.154859    0.287141
         0.333154    0.353516    0.450066


 k=(   -0.111111    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134462   -0.034996    0.088447    0.141033    0.309654
         0.328211    0.399061    0.440976


 k=(   -0.222222    0.444444    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109513   -0.045404    0.055846    0.115832    0.299148
         0.373617    0.426617    0.443952


 k=(    0.666667    0.444444    0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.085136   -0.065457    0.058044    0.096763    0.281562
         0.339021    0.447491    0.458753


 k=(    0.555556    0.444444    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105986   -0.045596    0.085008    0.091087    0.267828
         0.278098    0.465068    0.535453


 k=(    0.444444    0.333333    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154298    0.014699    0.094735    0.116749    0.274231
         0.310289    0.399975    0.466594


 k=(    0.333333    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177550    0.050720    0.118976    0.132564    0.260115
         0.323739    0.404123    0.414861


 k=(    0.222222    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190649    0.069824    0.120340    0.160508    0.293724
         0.343050    0.366106    0.388764


 k=(    0.111111    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192634    0.056593    0.136042    0.179214    0.303643
         0.338546    0.342723    0.425182


 k=(    0.000000    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183420    0.033648    0.146355    0.158095    0.291789
         0.336078    0.363705    0.397929


 k=(   -0.111111    0.333333    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163639    0.012028    0.096620    0.151367    0.307526
         0.340888    0.378445    0.401314


 k=(   -0.222222    0.333333    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135591   -0.015516    0.062248    0.130284    0.317425
         0.352738    0.384062    0.457677


 k=(   -0.333333    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110958   -0.043043    0.057455    0.112880    0.299784
         0.367784    0.425564    0.447899


 k=(    0.555556    0.333333    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.124772   -0.025801    0.071675    0.106895    0.289751
         0.348634    0.384379    0.482972


 k=(    0.444444    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164454    0.015316    0.100760    0.143197    0.309750
         0.332627    0.380266    0.407937


 k=(    0.333333    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190770    0.071550    0.120070    0.158660    0.294210
         0.342465    0.365506    0.389095


 k=(    0.222222    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207566    0.109236    0.162438    0.164198    0.285835
         0.333987    0.356855    0.384269


 k=(    0.111111    0.222222    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213206    0.123680    0.156451    0.193512    0.311982
         0.318850    0.321761    0.398871


 k=(    0.000000    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207332    0.103039    0.163461    0.169933    0.287111
         0.334929    0.357675    0.384043


 k=(   -0.111111    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190295    0.065519    0.120176    0.166115    0.292218
         0.343608    0.369055    0.388737


 k=(   -0.222222    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163758    0.011990    0.099488    0.148558    0.304518
         0.336750    0.382806    0.409476


 k=(   -0.333333    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135397   -0.033389    0.093500    0.134680    0.307960
         0.322931    0.405860    0.447699


 k=(    0.555556    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135958   -0.032073    0.094306    0.132615    0.312853
         0.318399    0.406729    0.442758


 k=(    0.444444    0.111111    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.164208   -0.004767    0.128251    0.161702    0.290759
         0.335846    0.348947    0.473513


 k=(    0.333333    0.111111    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192828    0.058504    0.135741    0.177349    0.302778
         0.339424    0.341264    0.425748


 k=(    0.222222    0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213259    0.125653    0.156234    0.191111    0.312031
         0.319967    0.320654    0.398680


 k=(    0.111111    0.111111    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222792    0.162875    0.190901    0.196096    0.293648
         0.311699    0.315286    0.365171


 k=(    0.000000    0.111111    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220755    0.163442    0.176637    0.187148    0.283027
         0.331868    0.335631    0.356799


 k=(   -0.111111    0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207262    0.101445    0.159864    0.176353    0.285307
         0.330883    0.362686    0.386890


 k=(   -0.222222    0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183405    0.033324    0.148780    0.156922    0.288898
         0.328785    0.370983    0.405497


 k=(   -0.333333    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153789   -0.023345    0.140037    0.145787    0.283869
         0.326580    0.361922    0.457002


 k=(    0.555556    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140654   -0.043008    0.130100    0.150310    0.283852
         0.327918    0.353005    0.504249


 k=(    0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.154036   -0.022351    0.130885    0.154176    0.286158
         0.331611    0.353607    0.451269


 k=(    0.333333    0.000000    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183648    0.035227    0.145466    0.157657    0.290784
         0.335008    0.363523    0.399044


 k=(    0.222222    0.000000    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207389    0.104478    0.162181    0.169705    0.286768
         0.334550    0.357547    0.384049


 k=(    0.111111    0.000000    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220754    0.162354    0.178662    0.186317    0.282987
         0.332489    0.334893    0.356741


 k=(    0.000000    0.000000    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222659    0.151946    0.194718    0.205273    0.299301
         0.308528    0.314579    0.362610


 k=(   -0.111111    0.000000    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212989    0.116938    0.156749    0.202823    0.309909
         0.317331    0.325150    0.399374


 k=(   -0.222222    0.000000    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192412    0.055317    0.131177    0.188015    0.303658
         0.329475    0.347814    0.427151


 k=(   -0.333333    0.000000    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163677   -0.006261    0.121797    0.171372    0.292272
         0.334972    0.344972    0.474739


 k=(   -0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140370   -0.043322    0.122305    0.159217    0.285960
         0.331719    0.344674    0.503584


 k=(    0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135281   -0.032906    0.087214    0.141157    0.308298
         0.328297    0.397687    0.442329


 k=(    0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163840    0.013178    0.095618    0.151589    0.306180
         0.341141    0.379538    0.400034


 k=(    0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190289    0.065393    0.120286    0.166194    0.292257
         0.343663    0.368866    0.388538


 k=(    0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207199    0.099854    0.161159    0.176869    0.285701
         0.331111    0.362721    0.386628


 k=(    0.000000   -0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212933    0.115196    0.157355    0.204671    0.309970
         0.316345    0.326098    0.399397


 k=(   -0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207137    0.098356    0.162533    0.177163    0.286117
         0.331416    0.362728    0.386398


 k=(   -0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190162    0.063718    0.120903    0.167645    0.291947
         0.343805    0.369704    0.388379


 k=(   -0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163652    0.012205    0.095747    0.152620    0.305122
         0.342018    0.380109    0.400331


 k=(   -0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135128   -0.033281    0.087193    0.141530    0.307609
         0.328921    0.397556    0.443385


 k=(   -0.444444    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110336   -0.043712    0.054942    0.115894    0.299182
         0.372075    0.428062    0.444087


 k=(   -0.333333    0.222222   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135572   -0.015603    0.062313    0.130314    0.317291
         0.353130    0.383757    0.457408


 k=(   -0.222222    0.222222   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163538    0.010743    0.100587    0.148410    0.305818
         0.336552    0.381714    0.410529


 k=(   -0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183165    0.031694    0.149684    0.157482    0.289943
         0.329336    0.371526    0.404356


 k=(    0.000000    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192212    0.053376    0.131911    0.189471    0.304646
         0.329140    0.348721    0.426739


 k=(    0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190038    0.062205    0.121337    0.169088    0.291613
         0.343755    0.370761    0.388459


 k=(    0.222222    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176715    0.042039    0.129198    0.131985    0.258992
         0.321876    0.408087    0.422620


 k=(   -0.333333   -0.222222    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153189    0.008845    0.095134    0.122546    0.272335
         0.310149    0.406573    0.465981


 k=(   -0.444444   -0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123405   -0.028803    0.068375    0.112774    0.288267
         0.348716    0.390807    0.476929


 k=(    0.555556    0.333333   -0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.085002   -0.065627    0.058090    0.096765    0.281551
         0.338989    0.447997    0.458387


 k=(   -0.333333    0.333333   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110084   -0.044868    0.058464    0.112834    0.299655
         0.369396    0.424034    0.448184


 k=(   -0.222222    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134548   -0.035534    0.094829    0.134556    0.309404
         0.322700    0.407159    0.446354


 k=(   -0.111111    0.333333   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153082   -0.025384    0.139847    0.147282    0.284858
         0.327458    0.362413    0.455822


 k=(    0.000000    0.333333   -0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163128   -0.008290    0.122309    0.172471    0.293175
         0.336173    0.345044    0.474775


 k=(    0.111111    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163258    0.010114    0.096815    0.153470    0.305384
         0.342589    0.379585    0.401984


 k=(    0.222222    0.333333   -0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152964    0.007710    0.095395    0.123465    0.271993
         0.310129    0.407843    0.466089


 k=(    0.333333    0.333333   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132590   -0.018343    0.096446    0.112032    0.241242
         0.282209    0.481619    0.486855


 k=(    0.444444    0.333333   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104023   -0.049119    0.084397    0.093733    0.266339
         0.278966    0.470631    0.536172


 k=(    0.444444    0.555556    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105593   -0.046325    0.085009    0.091520    0.267521
         0.278272    0.466242    0.535676


 k=(    0.333333    0.555556    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.124072   -0.027778    0.072894    0.107076    0.289545
         0.348906    0.385196    0.484042


 k=(    0.222222    0.555556    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134986   -0.034540    0.095485    0.132960    0.313282
         0.319120    0.407916    0.442490


 k=(    0.111111    0.555556    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139490   -0.045527    0.130099    0.151673    0.284765
         0.328884    0.353370    0.505223


 k=(    0.000000    0.444444   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139200   -0.045847    0.122748    0.160081    0.286883
         0.333601    0.344158    0.504466


 k=(    0.111111    0.444444   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134144   -0.035750    0.088384    0.141795    0.308234
         0.329484    0.398738    0.443190


 k=(    0.222222    0.444444   -0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122692   -0.030713    0.069476    0.112965    0.288122
         0.348997    0.391536    0.478089


 k=(    0.333333    0.444444   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103622   -0.049815    0.084397    0.094111    0.266054
         0.279152    0.471702    0.536114


 k=(    0.444444    0.444444   -0.111111):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.082697   -0.073358    0.084101    0.105316    0.235946
         0.267975    0.540631    0.551705


 k=(    0.444444    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.108928   -0.047076    0.103982    0.106062    0.228635
         0.243507    0.544644    0.544806


 k=(    0.333333    0.444444    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133065   -0.016558    0.092354    0.114396    0.243268
         0.280775    0.478807    0.484946


 k=(    0.222222    0.444444    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147949   -0.008300    0.096093    0.131231    0.267873
         0.358300    0.396421    0.413714


 k=(    0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153233   -0.024803    0.133890    0.152824    0.286182
         0.329975    0.358027    0.452270


 k=(    0.000000    0.444444    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.149752   -0.040374    0.158425    0.169485    0.261221
         0.324228    0.337325    0.490916


 k=(   -0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139314   -0.045717    0.125063    0.157405    0.285955
         0.330487    0.349122    0.504669


 k=(    0.222222    0.555556    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.123874   -0.042724    0.077416    0.136753    0.273267
         0.387945    0.399679    0.429790


 k=(    0.333333    0.555556    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103851   -0.049744    0.060035    0.118251    0.250819
         0.338405    0.467909    0.474171


 k=(    0.555556    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.079828   -0.076290    0.082031    0.107422    0.238065
         0.265928    0.539516    0.551379


 k=(    0.444444    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133366   -0.015520    0.091375    0.114454    0.243472
         0.280811    0.477847    0.483754


 k=(    0.333333    0.333333    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159876    0.021918    0.117852    0.120189    0.233614
         0.280118    0.469274    0.469598


 k=(    0.222222    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176995    0.044966    0.122634    0.135134    0.260458
         0.321773    0.405745    0.420028


 k=(    0.111111    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183312    0.032774    0.148032    0.157653    0.291070
         0.332692    0.367496    0.400415


 k=(    0.000000    0.333333    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178605    0.010260    0.164897    0.175995    0.268639
         0.329182    0.341889    0.490949


 k=(   -0.111111    0.333333    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163351   -0.007637    0.124188    0.169330    0.292428
         0.335924    0.347309    0.472718


 k=(   -0.222222    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139025   -0.021724    0.071095    0.150629    0.286955
         0.383561    0.389194    0.465334


 k=(   -0.333333    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.110368   -0.042588    0.046884    0.131210    0.265184
         0.416947    0.440309    0.461291


 k=(    0.555556    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104722   -0.048119    0.059164    0.118316    0.250895
         0.338385    0.466477    0.473590


 k=(    0.444444    0.222222    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148480   -0.006117    0.094097    0.131426    0.267991
         0.358366    0.395884    0.411856


 k=(    0.333333    0.222222    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177164    0.046736    0.120622    0.135196    0.260674
         0.322123    0.404899    0.418549


 k=(    0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197624    0.093689    0.144530    0.147610    0.254400
         0.335940    0.397274    0.397501


 k=(    0.111111    0.222222    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207275    0.101458    0.163440    0.172177    0.286643
         0.333047    0.359831    0.384976


 k=(    0.000000    0.222222    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205487    0.079334    0.177209    0.188678    0.282404
         0.326866    0.337312    0.435696


 k=(   -0.111111    0.222222    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192385    0.054793    0.132914    0.185932    0.303933
         0.332389    0.347039    0.425859


 k=(   -0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168999    0.023726    0.084921    0.169835    0.305320
         0.362814    0.375647    0.418048


 k=(   -0.333333    0.222222    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139441   -0.020292    0.069990    0.150807    0.286992
         0.382137    0.388066    0.466620


 k=(    0.555556    0.222222    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124966   -0.040224    0.075809    0.136979    0.273359
         0.386571    0.397809    0.430845


 k=(    0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153981   -0.022574    0.132086    0.153191    0.285672
         0.330004    0.355903    0.452349


 k=(    0.333333    0.111111    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183595    0.034784    0.146330    0.157410    0.290420
         0.333291    0.365471    0.400274


 k=(    0.222222    0.111111    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207361    0.103655    0.162396    0.170617    0.286537
         0.333565    0.358687    0.384552


 k=(    0.111111    0.111111    0.000000):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220753    0.161792    0.179995    0.185610    0.282962
         0.333263    0.334049    0.356706


 k=(    0.000000    0.111111    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222686    0.153987    0.192453    0.205185    0.297897
         0.308159    0.315918    0.363120


 k=(   -0.111111    0.111111    0.000000):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213044    0.118833    0.155937    0.201073    0.309539
         0.318797    0.324010    0.399332


 k=(   -0.222222    0.111111    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192498    0.056044    0.131648    0.186264    0.303286
         0.331030    0.347065    0.426687


 k=(   -0.333333    0.111111    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163787   -0.005932    0.122719    0.169818    0.291888
         0.334797    0.346165    0.473717


 k=(   -0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140426   -0.043258    0.123439    0.157902    0.285487
         0.330180    0.347151    0.503649


 k=(   -0.444444    0.000000    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.150712   -0.038089    0.157464    0.169317    0.260464
         0.322998    0.336698    0.490036


 k=(   -0.333333    0.000000    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178978    0.012040    0.163835    0.175744    0.267816
         0.327978    0.341293    0.491016


 k=(   -0.222222    0.000000    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205611    0.081072    0.175901    0.188245    0.281431
         0.326085    0.337165    0.436446


 k=(   -0.111111    0.000000    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222713    0.156144    0.190648    0.204473    0.296617
         0.308373    0.316597    0.363620


 k=(    0.000000    0.000000    0.000000):       259 3-d basis functions
 the   8 eigenvalues are:
        -0.228537    0.198174    0.203768    0.215865    0.293916
         0.300677    0.304188    0.320855


 fermi energy and band-weighting factors:

FERMIE:
          first approx. to ef    (T=0)  :  0.215865 htr   (energy of the highest occ. eigenvalue)
          number of occ. states  (T=0)  :      1460
          first approx. to seigv (T=0)  :  0.175553 htr
          sum of weights of occ. states :  4.000000
          sum of semicore eigenvalues   :  0.000000 htr
          sum of semicore charge        :  0.000000 e



FERHIS:  Fermi-Energy by histogram:

          bandgap                     :   0.012058 htr
          charge neutrality (T=0)     :   0.000000    (zero if the highest occ. eigenvalue is "entirely" occupied)

     EF_NEWTON:  Adjust Fermi-Energy by Newton-Method.

               Number of iterations needed  :   4
               The error in the weight is   :  0.77570E-14
               The error in ef is           : -0.57127E-12 htr


     -->  new fermi energy            :   0.221165 htr
          valence charge              :   8.000000 e 
          actual charge blw ef-8kt    :   7.997257 e 
          actual charge blw ef+8kt    :   8.000000 e 
          number of occ. states       :      1463
          sum of the valence weights  :   4.000000
          entropy         :   0.000196 *kb htr/K =   0.00000 htr/K

          sum of val. single particle energies:         0.1755532796 htr



          valence density: spin= 1

     l-like charge
     atom     s        p        d        f        total
 --> 1    0.89062  1.17110  0.08213  0.00603    2.15148
 --> 2    0.89062  1.17110  0.08213  0.00603    2.15148
 Energy Parameters for spin:           1
 Max. mismatch of energy parameters:    0.000000

     energy parameters for window 1
     atom     s        p        d        f
 -->  1   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0
 -->  2   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0

          total charge for spin  1=    8.000000
          interst. charge =       3.697039
          mt charge=              2.151480    2.151480

          total charge  =    8.000000


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.2040        2.
               2.   0.   0.5   -4.7110        2.
               2.   1.   0.5   -3.1113        2.
               2.   1.   1.5   -3.0875        4.
          atom type  1  (spin 1) 
          kinetic energy=  0.285373128826E+03     sum of the eigenvalues= -0.158402853372E+03
          0.00178876  electrons lost from core.


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.2040        2.
               2.   0.   0.5   -4.7110        2.
               2.   1.   0.5   -3.1113        2.
               2.   1.   1.5   -3.0875        4.
          atom type  2  (spin 1) 
          kinetic energy=  0.285373128847E+03     sum of the eigenvalues= -0.158402853450E+03
          0.00178876  electrons lost from core.

          alpha=   1.39398     acoff=   0.09674

          alpha=   1.39398     acoff=   0.09674

          total charge for spin  1=   28.000000
          interst. charge =       3.700516
          mt charge=             12.149742   12.149742

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.700516
          mt charge=             12.149742   12.149742

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*



     t o t a l  e n e r g y

          sum of eigenvalues =              -316.6301535424

          density-coulomb potential int     -844.4093557974

          density-effective potential i     -898.3187527641

          charge density-ex.-corr.energ      -41.7439073447
 
 FORCES: EQUATION A3 FOR ATOM TYPE   1
 FX_A3= -0.013500  0.000000 FY_A3= -0.008895  0.000000 FZ_A3= -0.004181  0.000000
 FORCES: EQUATION A3 FOR ATOM TYPE   2
 FX_A3=  0.013500  0.000000 FY_A3=  0.008895  0.000000 FZ_A3=  0.004181  0.000000

          el.-nucl. inter. diff. m.t.        342.2691452581

          Madelung term for atom type:        -6.6366337279

          el.-nucl. inter. diff. m.t.        342.2691451592

          Madelung term for atom type:        -6.6366337634


 ----> total energy=                        -580.0715439303 htr

 ***** TOTAL FORCES ON ATOMS ***** 

 TOTAL FORCE FOR ATOM TYPE=  1  X=  1.292   Y=  1.292   Z=  1.292
                       FX_TOT=-0.013500 FY_TOT=-0.008895 FZ_TOT=-0.004181
 TOTAL FORCE FOR ATOM TYPE=  2  X= -1.369   Y= -1.344   Z= -1.318
                       FX_TOT= 0.013500 FY_TOT= 0.008895 FZ_TOT= 0.004181
eps_force= 0.00001max= 0.00005


 ---->(tkb*entropy) TS=                        0.0000001955 htr


 ----> free energy=                         -580.0715441258 htr


      extrapolation for T->0
 ----> total electron energy=               -580.0715440280 htr
 wrtdop title:alpha Si                                                                ordered*
 wrtdop title:alpha Si                                                                ordered*
     <vi|w|Fm> for it 2      -0.191157
     <vi|w|Fm> for it 3       0.078662
     <vi|w|Fm> for it 4       0.050906
     <vi|w|Fm> for it 5       0.743061
     <vi|w|Fm> for it 6       0.121798

----> distance of charge densities for spin  1        it=  7:   0.027278 me/bohr**3

          total charge for spin  1=   28.000000
          interst. charge =       3.701148
          mt charge=             12.149426   12.149426

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701148
          mt charge=             12.149426   12.149426

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*

     ******* it=  7  is completed********



             it=        8

          total charge for spin  1=   28.000000
          interst. charge =       3.701148
          mt charge=             12.149426   12.149426

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701148
          mt charge=             12.149426   12.149426

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*


          p o t e n t i a l   g e n e r a t o r


          multipole moments for atom type=    1

  l   m                   original                      plane wave
  0   0          -0.52204E+00    0.00000E+00         0.77847E+00   -0.15983E-14
  1   0           0.16734E-02    0.00000E+00         0.14132E-02   -0.74347E-15
  1   1          -0.49359E-02    0.31536E-02        -0.40572E-02    0.25995E-02
  1  -1           0.49359E-02    0.31536E-02         0.40572E-02    0.25995E-02
  1   1          -0.49359E-02    0.31536E-02        -0.40572E-02    0.25995E-02
  1  -1           0.49359E-02    0.31536E-02         0.40572E-02    0.25995E-02
  2   0           0.52189E-03    0.00000E+00         0.49860E-03    0.59471E-16
  2   1           0.12344E-01   -0.18687E-01         0.11741E-01   -0.17748E-01
  2  -1          -0.12344E-01   -0.18687E-01        -0.11741E-01   -0.17748E-01
  2   2          -0.29024E-03    0.58677E-02        -0.27738E-03    0.56336E-02
  2  -2          -0.29024E-03   -0.58677E-02        -0.27738E-03   -0.56336E-02
  2   1           0.12344E-01   -0.18687E-01         0.11741E-01   -0.17748E-01
  2  -1          -0.12344E-01   -0.18687E-01        -0.11741E-01   -0.17748E-01
  2   2          -0.29024E-03    0.58677E-02        -0.27738E-03    0.56336E-02
  2  -2          -0.29024E-03   -0.58677E-02        -0.27738E-03   -0.56336E-02
  3   0          -0.84941E-02    0.00000E+00        -0.82471E-02   -0.11392E-14
  3   1          -0.10734E-01    0.72020E-02        -0.10355E-01    0.69535E-02
  3  -1           0.10734E-01    0.72020E-02         0.10355E-01    0.69535E-02
  3   2          -0.55430E-05    0.46959E+00        -0.47329E-05    0.46247E+00
  3  -2          -0.55430E-05   -0.46959E+00        -0.47329E-05   -0.46247E+00
  3   3           0.13840E-01    0.92668E-02         0.13353E-01    0.89506E-02
  3  -3          -0.13840E-01    0.92668E-02        -0.13353E-01    0.89506E-02
  3   1          -0.10734E-01    0.72020E-02        -0.10355E-01    0.69535E-02
  3  -1           0.10734E-01    0.72020E-02         0.10355E-01    0.69535E-02
  3   2          -0.55430E-05    0.46959E+00        -0.47329E-05    0.46247E+00
  3  -2          -0.55430E-05   -0.46959E+00        -0.47329E-05   -0.46247E+00
  3   3           0.13840E-01    0.92668E-02         0.13353E-01    0.89506E-02
  3  -3          -0.13840E-01    0.92668E-02        -0.13353E-01    0.89506E-02
  4   0          -0.27307E+00    0.00000E+00        -0.26911E+00    0.10263E-14
  4   1           0.34640E-03   -0.37935E-03         0.41257E-03   -0.48684E-03
  4  -1          -0.34640E-03   -0.37935E-03        -0.41257E-03   -0.48684E-03
  4   2          -0.31491E-03   -0.10919E-02        -0.30581E-03   -0.11515E-02
  4  -2          -0.31491E-03    0.10919E-02        -0.30581E-03    0.11515E-02
  4   3           0.83744E-03    0.95875E-03         0.10171E-02    0.12457E-02
  4  -3          -0.83744E-03    0.95875E-03        -0.10171E-02    0.12457E-02
  4   4          -0.16267E+00   -0.84916E-05        -0.16031E+00   -0.79833E-05
  4  -4          -0.16267E+00    0.84916E-05        -0.16031E+00    0.79833E-05
  4   1           0.34640E-03   -0.37935E-03         0.41257E-03   -0.48684E-03
  4  -1          -0.34640E-03   -0.37935E-03        -0.41257E-03   -0.48684E-03
  4   2          -0.31491E-03   -0.10919E-02        -0.30581E-03   -0.11515E-02
  4  -2          -0.31491E-03    0.10919E-02        -0.30581E-03    0.11515E-02
  4   3           0.83744E-03    0.95875E-03         0.10171E-02    0.12457E-02
  4  -3          -0.83744E-03    0.95875E-03        -0.10171E-02    0.12457E-02
  4   4          -0.16267E+00   -0.84916E-05        -0.16031E+00   -0.79833E-05
  4  -4          -0.16267E+00    0.84916E-05        -0.16031E+00    0.79833E-05
  5   0           0.53229E-02    0.00000E+00         0.52641E-02   -0.68978E-15
  5   1           0.43744E-02   -0.27156E-02         0.42151E-02   -0.26123E-02
  5  -1          -0.43744E-02   -0.27156E-02        -0.42151E-02   -0.26123E-02
  5   2           0.77395E-05    0.61508E-03         0.76062E-05    0.60124E-03
  5  -2           0.77395E-05   -0.61508E-03         0.76062E-05   -0.60124E-03
  5   3           0.17821E-01    0.11793E-01         0.17489E-01    0.11572E-01
  5  -3          -0.17821E-01    0.11793E-01        -0.17489E-01    0.11572E-01
  5   4          -0.46738E-02   -0.48301E-03        -0.45595E-02   -0.47202E-03
  5  -4          -0.46738E-02    0.48301E-03        -0.45595E-02    0.47202E-03
  5   5          -0.37258E-02    0.26170E-02        -0.37318E-02    0.26184E-02
  5  -5           0.37258E-02    0.26170E-02         0.37318E-02    0.26184E-02
  5   1           0.43744E-02   -0.27156E-02         0.42151E-02   -0.26123E-02
  5  -1          -0.43744E-02   -0.27156E-02        -0.42151E-02   -0.26123E-02
  5   2           0.77395E-05    0.61508E-03         0.76062E-05    0.60124E-03
  5  -2           0.77395E-05   -0.61508E-03         0.76062E-05   -0.60124E-03
  5   3           0.17821E-01    0.11793E-01         0.17489E-01    0.11572E-01
  5  -3          -0.17821E-01    0.11793E-01        -0.17489E-01    0.11572E-01
  5   4          -0.46738E-02   -0.48301E-03        -0.45595E-02   -0.47202E-03
  5  -4          -0.46738E-02    0.48301E-03        -0.45595E-02    0.47202E-03
  5   5          -0.37258E-02    0.26170E-02        -0.37318E-02    0.26184E-02
  5  -5           0.37258E-02    0.26170E-02         0.37318E-02    0.26184E-02
  6   0           0.10283E+00    0.00000E+00         0.10178E+00    0.12286E-14
  6   1          -0.64039E-02    0.97174E-02        -0.63487E-02    0.96354E-02
  6  -1           0.64039E-02    0.97174E-02         0.63487E-02    0.96354E-02
  6   2           0.11841E-03   -0.60791E-02         0.11733E-03   -0.60171E-02
  6  -2           0.11841E-03    0.60791E-02         0.11733E-03    0.60171E-02
  6   3          -0.42896E-02   -0.62275E-02        -0.42487E-02   -0.61688E-02
  6  -3           0.42896E-02   -0.62275E-02         0.42487E-02   -0.61688E-02
  6   4          -0.19315E+00   -0.54774E-05        -0.19117E+00   -0.55801E-05
  6  -4          -0.19315E+00    0.54774E-05        -0.19117E+00    0.55801E-05
  6   5          -0.97092E-02    0.14433E-01        -0.96201E-02    0.14303E-01
  6  -5           0.97092E-02    0.14433E-01         0.96201E-02    0.14303E-01
  6   6           0.17604E-03   -0.20777E-02         0.17445E-03   -0.20576E-02
  6  -6           0.17604E-03    0.20777E-02         0.17445E-03    0.20576E-02
  6   1          -0.64039E-02    0.97174E-02        -0.63487E-02    0.96354E-02
  6  -1           0.64039E-02    0.97174E-02         0.63487E-02    0.96354E-02
  6   2           0.11841E-03   -0.60791E-02         0.11733E-03   -0.60171E-02
  6  -2           0.11841E-03    0.60791E-02         0.11733E-03    0.60171E-02
  6   3          -0.42896E-02   -0.62275E-02        -0.42487E-02   -0.61688E-02
  6  -3           0.42896E-02   -0.62275E-02         0.42487E-02   -0.61688E-02
  6   4          -0.19315E+00   -0.54774E-05        -0.19117E+00   -0.55801E-05
  6  -4          -0.19315E+00    0.54774E-05        -0.19117E+00    0.55801E-05
  6   5          -0.97092E-02    0.14433E-01        -0.96201E-02    0.14303E-01
  6  -5           0.97092E-02    0.14433E-01         0.96201E-02    0.14303E-01
  6   6           0.17604E-03   -0.20777E-02         0.17445E-03   -0.20576E-02
  6  -6           0.17604E-03    0.20777E-02         0.17445E-03    0.20576E-02
  7   0           0.24629E-02    0.00000E+00         0.24465E-02    0.46349E-14
  7   1           0.51585E-02   -0.35463E-02         0.51444E-02   -0.35370E-02
  7  -1          -0.51585E-02   -0.35463E-02        -0.51444E-02   -0.35370E-02
  7   2           0.24199E-05   -0.12873E+00         0.24105E-05   -0.12878E+00
  7  -2           0.24199E-05    0.12873E+00         0.24105E-05    0.12878E+00
  7   3          -0.12541E-02   -0.85826E-03        -0.12383E-02   -0.84787E-03
  7  -3           0.12541E-02   -0.85826E-03         0.12383E-02   -0.84787E-03
  7   4           0.24429E-02   -0.36117E-03         0.24433E-02   -0.36206E-03
  7  -4           0.24429E-02    0.36117E-03         0.24433E-02    0.36206E-03
  7   5          -0.27230E-02    0.18627E-02        -0.27419E-02    0.18754E-02
  7  -5           0.27230E-02    0.18627E-02         0.27419E-02    0.18754E-02
  7   6           0.43115E-05   -0.11780E+00         0.42444E-05   -0.11784E+00
  7  -6           0.43115E-05    0.11780E+00         0.42444E-05    0.11784E+00
  7   7          -0.46996E-02   -0.32243E-02        -0.46767E-02   -0.32091E-02
  7  -7           0.46996E-02   -0.32243E-02         0.46767E-02   -0.32091E-02
  7   1           0.51585E-02   -0.35463E-02         0.51444E-02   -0.35370E-02
  7  -1          -0.51585E-02   -0.35463E-02        -0.51444E-02   -0.35370E-02
  7   2           0.24199E-05   -0.12873E+00         0.24105E-05   -0.12878E+00
  7  -2           0.24199E-05    0.12873E+00         0.24105E-05    0.12878E+00
  7   3          -0.12541E-02   -0.85826E-03        -0.12383E-02   -0.84787E-03
  7  -3           0.12541E-02   -0.85826E-03         0.12383E-02   -0.84787E-03
  7   4           0.24429E-02   -0.36117E-03         0.24433E-02   -0.36206E-03
  7  -4           0.24429E-02    0.36117E-03         0.24433E-02    0.36206E-03
  7   5          -0.27230E-02    0.18627E-02        -0.27419E-02    0.18754E-02
  7  -5           0.27230E-02    0.18627E-02         0.27419E-02    0.18754E-02
  7   6           0.43115E-05   -0.11780E+00         0.42444E-05   -0.11784E+00
  7  -6           0.43115E-05    0.11780E+00         0.42444E-05    0.11784E+00
  7   7          -0.46996E-02   -0.32243E-02        -0.46767E-02   -0.32091E-02
  7  -7           0.46996E-02   -0.32243E-02         0.46767E-02   -0.32091E-02
  8   0           0.52636E-01    0.00000E+00         0.56877E-01   -0.11098E-14
  8   1           0.59067E-03   -0.93544E-03         0.52849E-03   -0.83452E-03
  8  -1          -0.59067E-03   -0.93544E-03        -0.52849E-03   -0.83452E-03
  8   2           0.10442E-03    0.31322E-02         0.11464E-03    0.34710E-02
  8  -2           0.10442E-03   -0.31322E-02         0.11464E-03   -0.34710E-02
  8   3          -0.88142E-03   -0.12357E-02        -0.11225E-02   -0.16029E-02
  8  -3           0.88142E-03   -0.12357E-02         0.11225E-02   -0.16029E-02
  8   4           0.19349E-01    0.86392E-05         0.20940E-01    0.86848E-05
  8  -4           0.19349E-01   -0.86392E-05         0.20940E-01   -0.86848E-05
  8   5          -0.56795E-02    0.85178E-02        -0.61393E-02    0.92018E-02
  8  -5           0.56795E-02    0.85178E-02         0.61393E-02    0.92018E-02
  8   6           0.32654E-03   -0.14339E-02         0.33086E-03   -0.14894E-02
  8  -6           0.32654E-03    0.14339E-02         0.33086E-03    0.14894E-02
  8   7          -0.33965E-02   -0.50344E-02        -0.38737E-02   -0.57560E-02
  8  -7           0.33965E-02   -0.50344E-02         0.38737E-02   -0.57560E-02
  8   8           0.29788E-01   -0.13921E-05         0.32200E-01   -0.21246E-05
  8  -8           0.29788E-01    0.13921E-05         0.32200E-01    0.21246E-05
  8   1           0.59067E-03   -0.93544E-03         0.52849E-03   -0.83452E-03
  8  -1          -0.59067E-03   -0.93544E-03        -0.52849E-03   -0.83452E-03
  8   2           0.10442E-03    0.31322E-02         0.11464E-03    0.34710E-02
  8  -2           0.10442E-03   -0.31322E-02         0.11464E-03   -0.34710E-02
  8   3          -0.88142E-03   -0.12357E-02        -0.11225E-02   -0.16029E-02
  8  -3           0.88142E-03   -0.12357E-02         0.11225E-02   -0.16029E-02
  8   4           0.19349E-01    0.86392E-05         0.20940E-01    0.86848E-05
  8  -4           0.19349E-01   -0.86392E-05         0.20940E-01   -0.86848E-05
  8   5          -0.56795E-02    0.85178E-02        -0.61393E-02    0.92018E-02
  8  -5           0.56795E-02    0.85178E-02         0.61393E-02    0.92018E-02
  8   6           0.32654E-03   -0.14339E-02         0.33086E-03   -0.14894E-02
  8  -6           0.32654E-03    0.14339E-02         0.33086E-03    0.14894E-02
  8   7          -0.33965E-02   -0.50344E-02        -0.38737E-02   -0.57560E-02
  8  -7           0.33965E-02   -0.50344E-02         0.38737E-02   -0.57560E-02
  8   8           0.29788E-01   -0.13921E-05         0.32200E-01   -0.21246E-05
  8  -8           0.29788E-01    0.13921E-05         0.32200E-01    0.21246E-05

          multipole moments for atom type=    2

  l   m                   original                      plane wave
  0   0          -0.52204E+00    0.00000E+00         0.77847E+00   -0.12989E-14
  1   0          -0.16734E-02    0.00000E+00        -0.14132E-02    0.46775E-15
  1   1           0.49359E-02   -0.31536E-02         0.40572E-02   -0.25995E-02
  1  -1          -0.49359E-02   -0.31536E-02        -0.40572E-02   -0.25995E-02
  1   1           0.49359E-02   -0.31536E-02         0.40572E-02   -0.25995E-02
  1  -1          -0.49359E-02   -0.31536E-02        -0.40572E-02   -0.25995E-02
  2   0           0.52189E-03    0.00000E+00         0.49859E-03   -0.37391E-16
  2   1           0.12344E-01   -0.18687E-01         0.11741E-01   -0.17748E-01
  2  -1          -0.12344E-01   -0.18687E-01        -0.11741E-01   -0.17748E-01
  2   2          -0.29027E-03    0.58677E-02        -0.27740E-03    0.56336E-02
  2  -2          -0.29027E-03   -0.58677E-02        -0.27740E-03   -0.56336E-02
  2   1           0.12344E-01   -0.18687E-01         0.11741E-01   -0.17748E-01
  2  -1          -0.12344E-01   -0.18687E-01        -0.11741E-01   -0.17748E-01
  2   2          -0.29027E-03    0.58677E-02        -0.27740E-03    0.56336E-02
  2  -2          -0.29027E-03   -0.58677E-02        -0.27740E-03   -0.56336E-02
  3   0           0.84941E-02    0.00000E+00         0.82470E-02   -0.30767E-15
  3   1           0.10734E-01   -0.72020E-02         0.10355E-01   -0.69535E-02
  3  -1          -0.10734E-01   -0.72020E-02        -0.10355E-01   -0.69535E-02
  3   2           0.55903E-05   -0.46959E+00         0.47826E-05   -0.46247E+00
  3  -2           0.55903E-05    0.46959E+00         0.47826E-05    0.46247E+00
  3   3          -0.13840E-01   -0.92668E-02        -0.13353E-01   -0.89506E-02
  3  -3           0.13840E-01   -0.92668E-02         0.13353E-01   -0.89506E-02
  3   1           0.10734E-01   -0.72020E-02         0.10355E-01   -0.69535E-02
  3  -1          -0.10734E-01   -0.72020E-02        -0.10355E-01   -0.69535E-02
  3   2           0.55903E-05   -0.46959E+00         0.47826E-05   -0.46247E+00
  3  -2           0.55903E-05    0.46959E+00         0.47826E-05    0.46247E+00
  3   3          -0.13840E-01   -0.92668E-02        -0.13353E-01   -0.89506E-02
  3  -3           0.13840E-01   -0.92668E-02         0.13353E-01   -0.89506E-02
  4   0          -0.27307E+00    0.00000E+00        -0.26911E+00    0.25270E-14
  4   1           0.34641E-03   -0.37926E-03         0.41258E-03   -0.48677E-03
  4  -1          -0.34641E-03   -0.37926E-03        -0.41258E-03   -0.48677E-03
  4   2          -0.31491E-03   -0.10919E-02        -0.30580E-03   -0.11516E-02
  4  -2          -0.31491E-03    0.10919E-02        -0.30580E-03    0.11516E-02
  4   3           0.83744E-03    0.95925E-03         0.10171E-02    0.12463E-02
  4  -3          -0.83744E-03    0.95925E-03        -0.10171E-02    0.12463E-02
  4   4          -0.16267E+00   -0.85608E-05        -0.16031E+00   -0.80547E-05
  4  -4          -0.16267E+00    0.85608E-05        -0.16031E+00    0.80547E-05
  4   1           0.34641E-03   -0.37926E-03         0.41258E-03   -0.48677E-03
  4  -1          -0.34641E-03   -0.37926E-03        -0.41258E-03   -0.48677E-03
  4   2          -0.31491E-03   -0.10919E-02        -0.30580E-03   -0.11516E-02
  4  -2          -0.31491E-03    0.10919E-02        -0.30580E-03    0.11516E-02
  4   3           0.83744E-03    0.95925E-03         0.10171E-02    0.12463E-02
  4  -3          -0.83744E-03    0.95925E-03        -0.10171E-02    0.12463E-02
  4   4          -0.16267E+00   -0.85608E-05        -0.16031E+00   -0.80547E-05
  4  -4          -0.16267E+00    0.85608E-05        -0.16031E+00    0.80547E-05
  5   0          -0.53230E-02    0.00000E+00        -0.52641E-02   -0.22489E-14
  5   1          -0.43745E-02    0.27156E-02        -0.42152E-02    0.26123E-02
  5  -1           0.43745E-02    0.27156E-02         0.42152E-02    0.26123E-02
  5   2          -0.77876E-05   -0.61500E-03        -0.76548E-05   -0.60116E-03
  5  -2          -0.77876E-05    0.61500E-03        -0.76548E-05    0.60116E-03
  5   3          -0.17820E-01   -0.11793E-01        -0.17489E-01   -0.11572E-01
  5  -3           0.17820E-01   -0.11793E-01         0.17489E-01   -0.11572E-01
  5   4           0.46741E-02    0.48354E-03         0.45598E-02    0.47256E-03
  5  -4           0.46741E-02   -0.48354E-03         0.45598E-02   -0.47256E-03
  5   5           0.37238E-02   -0.26170E-02         0.37297E-02   -0.26184E-02
  5  -5          -0.37238E-02   -0.26170E-02        -0.37297E-02   -0.26184E-02
  5   1          -0.43745E-02    0.27156E-02        -0.42152E-02    0.26123E-02
  5  -1           0.43745E-02    0.27156E-02         0.42152E-02    0.26123E-02
  5   2          -0.77876E-05   -0.61500E-03        -0.76548E-05   -0.60116E-03
  5  -2          -0.77876E-05    0.61500E-03        -0.76548E-05    0.60116E-03
  5   3          -0.17820E-01   -0.11793E-01        -0.17489E-01   -0.11572E-01
  5  -3           0.17820E-01   -0.11793E-01         0.17489E-01   -0.11572E-01
  5   4           0.46741E-02    0.48354E-03         0.45598E-02    0.47256E-03
  5  -4           0.46741E-02   -0.48354E-03         0.45598E-02   -0.47256E-03
  5   5           0.37238E-02   -0.26170E-02         0.37297E-02   -0.26184E-02
  5  -5          -0.37238E-02   -0.26170E-02        -0.37297E-02   -0.26184E-02
  6   0           0.10283E+00    0.00000E+00         0.10178E+00    0.23199E-14
  6   1          -0.64039E-02    0.97175E-02        -0.63487E-02    0.96355E-02
  6  -1           0.64039E-02    0.97175E-02         0.63487E-02    0.96355E-02
  6   2           0.11858E-03   -0.60791E-02         0.11750E-03   -0.60171E-02
  6  -2           0.11858E-03    0.60791E-02         0.11750E-03    0.60171E-02
  6   3          -0.42896E-02   -0.62282E-02        -0.42488E-02   -0.61695E-02
  6  -3           0.42896E-02   -0.62282E-02         0.42488E-02   -0.61695E-02
  6   4          -0.19315E+00   -0.55863E-05        -0.19117E+00   -0.56920E-05
  6  -4          -0.19315E+00    0.55863E-05        -0.19117E+00    0.56920E-05
  6   5          -0.97094E-02    0.14433E-01        -0.96202E-02    0.14304E-01
  6  -5           0.97094E-02    0.14433E-01         0.96202E-02    0.14304E-01
  6   6           0.17550E-03   -0.20773E-02         0.17389E-03   -0.20572E-02
  6  -6           0.17550E-03    0.20773E-02         0.17389E-03    0.20572E-02
  6   1          -0.64039E-02    0.97175E-02        -0.63487E-02    0.96355E-02
  6  -1           0.64039E-02    0.97175E-02         0.63487E-02    0.96355E-02
  6   2           0.11858E-03   -0.60791E-02         0.11750E-03   -0.60171E-02
  6  -2           0.11858E-03    0.60791E-02         0.11750E-03    0.60171E-02
  6   3          -0.42896E-02   -0.62282E-02        -0.42488E-02   -0.61695E-02
  6  -3           0.42896E-02   -0.62282E-02         0.42488E-02   -0.61695E-02
  6   4          -0.19315E+00   -0.55863E-05        -0.19117E+00   -0.56920E-05
  6  -4          -0.19315E+00    0.55863E-05        -0.19117E+00    0.56920E-05
  6   5          -0.97094E-02    0.14433E-01        -0.96202E-02    0.14304E-01
  6  -5           0.97094E-02    0.14433E-01         0.96202E-02    0.14304E-01
  6   6           0.17550E-03   -0.20773E-02         0.17389E-03   -0.20572E-02
  6  -6           0.17550E-03    0.20773E-02         0.17389E-03    0.20572E-02
  7   0          -0.24628E-02    0.00000E+00        -0.24463E-02   -0.40826E-15
  7   1          -0.51588E-02    0.35464E-02        -0.51449E-02    0.35370E-02
  7  -1           0.51588E-02    0.35464E-02         0.51449E-02    0.35370E-02
  7   2          -0.24078E-05    0.12873E+00        -0.23976E-05    0.12878E+00
  7  -2          -0.24078E-05   -0.12873E+00        -0.23976E-05   -0.12878E+00
  7   3           0.12548E-02    0.85831E-03         0.12391E-02    0.84792E-03
  7  -3          -0.12548E-02    0.85831E-03        -0.12391E-02    0.84792E-03
  7   4          -0.24430E-02    0.36108E-03        -0.24434E-02    0.36196E-03
  7  -4          -0.24430E-02   -0.36108E-03        -0.24434E-02   -0.36196E-03
  7   5           0.27248E-02   -0.18626E-02         0.27438E-02   -0.18754E-02
  7  -5          -0.27248E-02   -0.18626E-02        -0.27438E-02   -0.18754E-02
  7   6          -0.43794E-05    0.11780E+00        -0.43116E-05    0.11784E+00
  7  -6          -0.43794E-05   -0.11780E+00        -0.43116E-05   -0.11784E+00
  7   7           0.46997E-02    0.32242E-02         0.46768E-02    0.32089E-02
  7  -7          -0.46997E-02    0.32242E-02        -0.46768E-02    0.32089E-02
  7   1          -0.51588E-02    0.35464E-02        -0.51449E-02    0.35370E-02
  7  -1           0.51588E-02    0.35464E-02         0.51449E-02    0.35370E-02
  7   2          -0.24078E-05    0.12873E+00        -0.23976E-05    0.12878E+00
  7  -2          -0.24078E-05   -0.12873E+00        -0.23976E-05   -0.12878E+00
  7   3           0.12548E-02    0.85831E-03         0.12391E-02    0.84792E-03
  7  -3          -0.12548E-02    0.85831E-03        -0.12391E-02    0.84792E-03
  7   4          -0.24430E-02    0.36108E-03        -0.24434E-02    0.36196E-03
  7  -4          -0.24430E-02   -0.36108E-03        -0.24434E-02   -0.36196E-03
  7   5           0.27248E-02   -0.18626E-02         0.27438E-02   -0.18754E-02
  7  -5          -0.27248E-02   -0.18626E-02        -0.27438E-02   -0.18754E-02
  7   6          -0.43794E-05    0.11780E+00        -0.43116E-05    0.11784E+00
  7  -6          -0.43794E-05   -0.11780E+00        -0.43116E-05   -0.11784E+00
  7   7           0.46997E-02    0.32242E-02         0.46768E-02    0.32089E-02
  7  -7          -0.46997E-02    0.32242E-02        -0.46768E-02    0.32089E-02
  8   0           0.52635E-01    0.00000E+00         0.56877E-01   -0.99701E-14
  8   1           0.59065E-03   -0.93601E-03         0.52847E-03   -0.83512E-03
  8  -1          -0.59065E-03   -0.93601E-03        -0.52847E-03   -0.83512E-03
  8   2           0.10447E-03    0.31325E-02         0.11474E-03    0.34713E-02
  8  -2           0.10447E-03   -0.31325E-02         0.11474E-03   -0.34713E-02
  8   3          -0.88143E-03   -0.12362E-02        -0.11225E-02   -0.16034E-02
  8  -3           0.88143E-03   -0.12362E-02         0.11225E-02   -0.16034E-02
  8   4           0.19349E-01    0.87883E-05         0.20940E-01    0.88497E-05
  8  -4           0.19349E-01   -0.87883E-05         0.20940E-01   -0.88497E-05
  8   5          -0.56795E-02    0.85171E-02        -0.61393E-02    0.92011E-02
  8  -5           0.56795E-02    0.85171E-02         0.61393E-02    0.92011E-02
  8   6           0.32690E-03   -0.14340E-02         0.33121E-03   -0.14895E-02
  8  -6           0.32690E-03    0.14340E-02         0.33121E-03    0.14895E-02
  8   7          -0.33965E-02   -0.50330E-02        -0.38737E-02   -0.57545E-02
  8  -7           0.33965E-02   -0.50330E-02         0.38737E-02   -0.57545E-02
  8   8           0.29788E-01   -0.14577E-05         0.32200E-01   -0.21925E-05
  8  -8           0.29788E-01    0.14577E-05         0.32200E-01    0.21925E-05
  8   1           0.59065E-03   -0.93601E-03         0.52847E-03   -0.83512E-03
  8  -1          -0.59065E-03   -0.93601E-03        -0.52847E-03   -0.83512E-03
  8   2           0.10447E-03    0.31325E-02         0.11474E-03    0.34713E-02
  8  -2           0.10447E-03   -0.31325E-02         0.11474E-03   -0.34713E-02
  8   3          -0.88143E-03   -0.12362E-02        -0.11225E-02   -0.16034E-02
  8  -3           0.88143E-03   -0.12362E-02         0.11225E-02   -0.16034E-02
  8   4           0.19349E-01    0.87883E-05         0.20940E-01    0.88497E-05
  8  -4           0.19349E-01   -0.87883E-05         0.20940E-01   -0.88497E-05
  8   5          -0.56795E-02    0.85171E-02        -0.61393E-02    0.92011E-02
  8  -5           0.56795E-02    0.85171E-02         0.61393E-02    0.92011E-02
  8   6           0.32690E-03   -0.14340E-02         0.33121E-03   -0.14895E-02
  8  -6           0.32690E-03    0.14340E-02         0.33121E-03    0.14895E-02
  8   7          -0.33965E-02   -0.50330E-02        -0.38737E-02   -0.57545E-02
  8  -7           0.33965E-02   -0.50330E-02         0.38737E-02   -0.57545E-02
  8   8           0.29788E-01   -0.14577E-05         0.32200E-01   -0.21925E-05
  8  -8           0.29788E-01    0.14577E-05         0.32200E-01    0.21925E-05

          integral of pseudo charge density inside the slab=        0.000000   0.000000

     coulomb potential in the interstitial region:

          density-coulomb potential integrals


          interstitial :                       0.7807385536

          muffin tin spheres :              -845.1836314656

          total density-coulomb potenti     -844.4028929120
 wrtdop title:alpha Si                                                                ordered*

     interstitial potential average (vbar) = -0.027913

 999idsprs in starting of nmtxad= 0

          density-effective potential integrals for spin  1


          interstitial :                      -0.4749089616

          muffin tin spheres :              -897.8381073962

          total density-effective poten     -898.3130163578

          charge density-energy density integrals


          interstitial :                      -0.9795488582

          muffin tin spheres :               -40.7649246269

          total charge density-energy d      -41.7444734851
 vgen: pottot deleted
 wrtdop title:alpha Si                                                                ordered*
 IT=   8  ISEC1=  99 standard diagonalization
  Atom  1 3s branch from -4.72 to  1.07 htr. ; e_l = -0.1341
  Atom  1 3p branch from -3.11 to  1.55 htr. ; e_l =  0.0500
  Atom  1 3d branch from -9.99 to  1.95 htr. ; e_l =  0.2439
  Atom  1 4f branch from -9.99 to  4.11 htr. ; e_l =  0.4116
  Atom  2 3s branch from -4.72 to  1.07 htr. ; e_l = -0.1341
  Atom  2 3p branch from -3.11 to  1.55 htr. ; e_l =  0.0500
  Atom  2 3d branch from -9.99 to  1.95 htr. ; e_l =  0.2439
  Atom  2 4f branch from -9.99 to  4.11 htr. ; e_l =  0.4116


 wavefunction parameters for atom type  1:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.13410        4.7800479E-01  -2.4465555E-01    2       -3.1232992E-01  -7.4530284E-01    2   1.0766751E-01   4.3267158E-01
  1   0.04998       -5.5348597E-01   9.9420670E-02    1        2.6599643E-01   7.3396820E-01    2   7.9522322E-02   4.3268664E-01
  2   0.24386        6.4439109E-01   1.6343988E-01    0       -2.3289919E-01  -7.3053331E-01    1   6.5179319E-02   4.3268414E-01
  3   0.41163        8.3799954E-01   7.5544645E-01    0       -1.2158507E-01  -6.2593082E-01    1   1.3122286E-02   4.3267873E-01
  4   0.41163        9.7736322E-01   1.4626793E+00    0       -8.2132660E-02  -5.6560543E-01    1   4.9167030E-03   4.3266820E-01
  5   0.41163        1.0889888E+00   2.2153819E+00    0       -6.1660981E-02  -5.2274009E-01    1   2.3795504E-03   4.3265549E-01
  6   0.41163        1.1859740E+00   3.0206221E+00    0       -4.8925270E-02  -4.8940799E-01    1   1.3189803E-03   4.3264038E-01
  7   0.41163        1.2734319E+00   3.8786648E+00    0       -4.0219943E-02  -4.6223319E-01    1   7.9808802E-04   4.3262283E-01
  8   0.41163        1.3539863E+00   4.7881041E+00    0       -3.3904812E-02  -4.3940071E-01    1   5.1413477E-04   4.3260278E-01


 wavefunction parameters for atom type  2:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.13410        4.7800479E-01  -2.4465556E-01    2       -3.1232992E-01  -7.4530284E-01    2   1.0766751E-01   4.3267158E-01
  1   0.04998       -5.5348596E-01   9.9420679E-02    1        2.6599643E-01   7.3396820E-01    2   7.9522324E-02   4.3268664E-01
  2   0.24386        6.4439109E-01   1.6343987E-01    0       -2.3289920E-01  -7.3053331E-01    1   6.5179321E-02   4.3268414E-01
  3   0.41163        8.3799954E-01   7.5544644E-01    0       -1.2158507E-01  -6.2593082E-01    1   1.3122286E-02   4.3267873E-01
  4   0.41163        9.7736322E-01   1.4626793E+00    0       -8.2132660E-02  -5.6560543E-01    1   4.9167030E-03   4.3266820E-01
  5   0.41163        1.0889888E+00   2.2153819E+00    0       -6.1660981E-02  -5.2274009E-01    1   2.3795504E-03   4.3265549E-01
  6   0.41163        1.1859740E+00   3.0206221E+00    0       -4.8925270E-02  -4.8940799E-01    1   1.3189803E-03   4.3264038E-01
  7   0.41163        1.2734319E+00   3.8786648E+00    0       -4.0219943E-02  -4.6223319E-01    1   7.9808802E-04   4.3262283E-01
  8   0.41163        1.3539863E+00   4.7881041E+00    0       -3.3904812E-02  -4.3940071E-01    1   5.1413477E-04   4.3260278E-01


 k=(    0.444444    0.444444    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.153289   -0.031301    0.159296    0.163872    0.258577
         0.324568    0.329864    0.487731


 k=(    0.333333    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155816   -0.016645    0.134392    0.147124    0.282755
         0.327023    0.355418    0.456833


 k=(    0.222222    0.444444    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149614   -0.001551    0.095564    0.126835    0.263599
         0.363093    0.395638    0.410685


 k=(    0.111111    0.444444    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133891   -0.013606    0.094248    0.110445    0.240038
         0.284576    0.479219    0.481194


 k=(    0.000000    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.109054   -0.046484    0.102266    0.107588    0.227992
         0.244441    0.544464    0.545255


 k=(   -0.111111    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.085604   -0.069906    0.085722    0.103574    0.233501
         0.270550    0.542635    0.551609


 k=(    0.222222    0.555556    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107779   -0.042876    0.061517    0.114168    0.246321
         0.342985    0.468488    0.471687


 k=(    0.333333    0.555556    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128245   -0.032831    0.076660    0.132181    0.268729
         0.386829    0.397736    0.434823


 k=(    0.555556    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143583   -0.035787    0.125153    0.151849    0.282825
         0.327777    0.346520    0.501214


 k=(    0.444444    0.333333    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155858   -0.016453    0.132462    0.148922    0.283230
         0.328008    0.353713    0.455733


 k=(    0.333333    0.333333    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165149   -0.000129    0.121279    0.166951    0.290177
         0.336911    0.339233    0.476498


 k=(    0.222222    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164638    0.017657    0.096384    0.146826    0.303991
         0.336236    0.384315    0.403139


 k=(    0.111111    0.333333    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153786    0.012619    0.094945    0.118993    0.273261
         0.310791    0.402713    0.466466


 k=(    0.000000    0.333333    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132906   -0.016368    0.090596    0.115982    0.245249
         0.279226    0.479950    0.483699


 k=(   -0.111111    0.333333    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104164   -0.048518    0.083701    0.094286    0.265630
         0.279955    0.470624    0.535958


 k=(   -0.222222    0.333333    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.090031   -0.059326    0.061322    0.092600    0.277032
         0.343690    0.449003    0.458074


 k=(    0.666667    0.333333    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114379   -0.035900    0.057308    0.109580    0.294941
         0.369544    0.431848    0.447718


 k=(    0.555556    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138145   -0.025723    0.090664    0.132742    0.308910
         0.319086    0.402795    0.446677


 k=(    0.444444    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149673   -0.001059    0.093747    0.128129    0.264881
         0.361778    0.395645    0.409415


 k=(    0.333333    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164647    0.017870    0.095580    0.147510    0.304338
         0.337073    0.383671    0.401187


 k=(    0.222222    0.222222    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169439    0.026833    0.085205    0.166307    0.303682
         0.364723    0.374773    0.419046


 k=(    0.111111    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163624    0.011814    0.100888    0.146657    0.310869
         0.335959    0.378016    0.407308


 k=(    0.000000    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147510   -0.009125    0.094890    0.132977    0.270617
         0.356040    0.397563    0.412251


 k=(   -0.111111    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122446   -0.030798    0.069171    0.113222    0.291015
         0.346649    0.390273    0.479088


 k=(   -0.222222    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.093432   -0.055027    0.059238    0.085560    0.343701
         0.355306    0.374627    0.436200


 k=(    0.666667    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.097557   -0.048794    0.061515    0.080903    0.346062
         0.350031    0.373350    0.440545


 k=(    0.555556    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125947   -0.022166    0.070710    0.105878    0.286345
         0.351658    0.385255    0.480619


 k=(    0.444444    0.111111    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133923   -0.013414    0.092954    0.111499    0.241149
         0.283563    0.478314    0.480862


 k=(    0.333333    0.111111    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153763    0.012435    0.095186    0.118971    0.273435
         0.310515    0.402758    0.466282


 k=(    0.222222    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163596    0.011503    0.101800    0.146033    0.310467
         0.335198    0.378632    0.409055


 k=(    0.111111    0.111111    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163020   -0.008665    0.128763    0.164597    0.292693
         0.338554    0.348904    0.472750


 k=(    0.000000    0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152480   -0.026491    0.133383    0.154498    0.287818
         0.333135    0.355784    0.449986


 k=(   -0.111111    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133339   -0.037382    0.089770    0.141338    0.310574
         0.328702    0.400396    0.440709


 k=(   -0.222222    0.111111    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108144   -0.047607    0.056383    0.116488    0.300703
         0.373498    0.424553    0.444458


 k=(    0.666667    0.111111    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.083661   -0.066864    0.057410    0.097676    0.282988
         0.337831    0.447230    0.458972


 k=(    0.555556    0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105961   -0.045307    0.084647    0.091502    0.267523
         0.278601    0.465134    0.535442


 k=(    0.444444    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.108908   -0.046783    0.103226    0.106865    0.228429
         0.243907    0.544590    0.545095


 k=(    0.333333    0.000000    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132769   -0.016967    0.092059    0.115197    0.244229
         0.279971    0.479880    0.485013


 k=(    0.222222    0.000000    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147402   -0.009755    0.096552    0.132033    0.269250
         0.357122    0.397350    0.413949


 k=(    0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152419   -0.026715    0.134665    0.153433    0.287344
         0.331566    0.357996    0.451111


 k=(    0.000000    0.000000    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.148652   -0.042584    0.160052    0.169123    0.262139
         0.326404    0.337158    0.491913


 k=(   -0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137983   -0.048183    0.125651    0.158282    0.287057
         0.332365    0.348731    0.505678


 k=(    0.222222    0.000000    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122515   -0.045145    0.077901    0.137667    0.274756
         0.388973    0.399601    0.428456


 k=(    0.333333    0.000000    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.102687   -0.051281    0.059859    0.119109    0.252247
         0.337261    0.468600    0.474202


 k=(    0.555556    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.078484   -0.077373    0.081250    0.108240    0.239493
         0.264770    0.538554    0.551403


 k=(    0.444444   -0.111111    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.084118   -0.071580    0.084946    0.104548    0.234717
         0.269318    0.541735    0.551721


 k=(    0.333333   -0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103609   -0.049516    0.084197    0.094368    0.265836
         0.279569    0.471756    0.536096


 k=(    0.222222   -0.111111    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122139   -0.031686    0.069950    0.113216    0.289549
         0.347954    0.391340    0.479265


 k=(    0.111111   -0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133173   -0.037762    0.089728    0.141727    0.309830
         0.329364    0.400200    0.441871


 k=(    0.000000   -0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137924   -0.048249    0.124467    0.159645    0.287512
         0.333926    0.346257    0.505531


 k=(    0.111111    0.111111    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.138162   -0.047988    0.130456    0.152815    0.285859
         0.330278    0.353441    0.506310


 k=(    0.222222    0.111111    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133859   -0.036796    0.095357    0.134730    0.313942
         0.321059    0.407407    0.441279


 k=(    0.333333    0.111111    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123252   -0.029382    0.072693    0.108555    0.290721
         0.347833    0.386353    0.483780


 k=(    0.444444    0.111111    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105175   -0.046761    0.084799    0.092211    0.266945
         0.278925    0.467485    0.535848


 k=(    0.555556    0.222222    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107513   -0.043149    0.060389    0.115264    0.247602
         0.341735    0.466885    0.471867


 k=(    0.333333   -0.222222    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.088838   -0.060840    0.060600    0.093654    0.278250
         0.342435    0.448225    0.458734


 k=(    0.222222   -0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.092364   -0.056566    0.059045    0.086281    0.344300
         0.355073    0.375073    0.435344


 k=(    0.111111   -0.222222    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.107771   -0.048143    0.055883    0.117142    0.302181
         0.371753    0.424111    0.444557


 k=(    0.000000    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122427   -0.045111    0.076685    0.138737    0.276214
         0.388445    0.397621    0.428190


 k=(    0.111111    0.222222    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133854   -0.036662    0.093958    0.136098    0.313697
         0.322499    0.405707    0.440272


 k=(    0.222222    0.222222    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139165   -0.021647    0.074177    0.147340    0.284866
         0.388283    0.391052    0.464098


 k=(    0.333333    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136461   -0.012577    0.062909    0.127517    0.315582
         0.353300    0.384286    0.457786


 k=(    0.444444    0.222222    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125413   -0.023448    0.069396    0.108322    0.285798
         0.351634    0.387922    0.477870


 k=(    0.555556    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128126   -0.032864    0.075265    0.133551    0.270053
         0.385922    0.396239    0.434501


 k=(    0.333333    0.666667    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114065   -0.036422    0.056692    0.110425    0.296326
         0.367908    0.431047    0.448189


 k=(    0.222222    0.666667    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.096840   -0.049920    0.060970    0.081903    0.344977
         0.351742    0.373598    0.439636


 k=(    0.111111    0.666667    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.082099   -0.068560    0.056661    0.098518    0.284290
         0.336612    0.447312    0.458699


 k=(    0.000000    0.333333    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.102609   -0.051155    0.058669    0.119953    0.253641
         0.336079    0.467513    0.473750


 k=(    0.111111    0.333333    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123279   -0.029067    0.071167    0.109769    0.291958
         0.346530    0.386534    0.482345


 k=(    0.222222    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136480   -0.012487    0.062840    0.127488    0.315702
         0.352922    0.384599    0.458037


 k=(    0.333333    0.333333    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141161   -0.014459    0.068528    0.148202    0.285069
         0.382625    0.384130    0.470144


 k=(    0.444444    0.333333    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137827   -0.026214    0.087733    0.136421    0.306859
         0.323328    0.398955    0.446849


 k=(    0.444444    0.555556    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143529   -0.035847    0.123527    0.153708    0.283265
         0.328606    0.344750    0.501138


 k=(    0.333333    0.555556    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138019   -0.026048    0.090504    0.133223    0.307757
         0.320172    0.402661    0.447773


 k=(    0.222222    0.555556    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125749   -0.022835    0.071403    0.105794    0.284918
         0.353151    0.386192    0.480737


 k=(    0.111111    0.555556    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105712   -0.045738    0.084042    0.092338    0.266676
         0.279395    0.466254    0.535474


 k=(    0.000000    0.555556    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.079472   -0.076284    0.080291    0.108978    0.240815
         0.263598    0.537588    0.551228


 k=(    0.111111    0.444444    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105321   -0.046464    0.084184    0.092624    0.266409
         0.279541    0.467430    0.535657


 k=(    0.222222    0.444444    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125483   -0.023473    0.070722    0.107033    0.284663
         0.353126    0.387532    0.479325


 k=(    0.333333    0.444444    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137861   -0.026295    0.089032    0.135058    0.306822
         0.322225    0.400707    0.447869


 k=(    0.444444    0.444444    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143476   -0.035908    0.122135    0.155313    0.283726
         0.329982    0.342422    0.501097


 k=(    0.444444    0.444444    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155902   -0.016249    0.130902    0.150317    0.283716
         0.329349    0.351641    0.454670


 k=(    0.333333    0.444444    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165252    0.000182    0.122434    0.165153    0.289820
         0.335657    0.341493    0.475874


 k=(    0.222222    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164797    0.018339    0.097299    0.144982    0.304800
         0.334396    0.384416    0.404715


 k=(    0.111111    0.444444    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154009    0.013870    0.094602    0.118027    0.273632
         0.310796    0.401361    0.466694


 k=(    0.000000    0.444444    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133209   -0.015313    0.089602    0.116044    0.245462
         0.279242    0.479032    0.482451


 k=(   -0.111111    0.444444    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104560   -0.047813    0.083586    0.094006    0.265891
         0.279794    0.469511    0.535934


 k=(   -0.222222    0.444444    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.089983   -0.059396    0.061353    0.092599    0.277026
         0.343668    0.449389    0.457774


 k=(    0.666667    0.444444    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114257   -0.036051    0.056776    0.110236    0.294838
         0.370471    0.432300    0.446754


 k=(    0.555556    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138117   -0.025626    0.089270    0.134165    0.308797
         0.320374    0.400941    0.445753


 k=(    0.444444    0.333333    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165353    0.000479    0.123789    0.163150    0.289500
         0.335405    0.342735    0.475620


 k=(    0.333333    0.333333    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.179964    0.017485    0.165420    0.170017    0.265760
         0.329467    0.334647    0.490733


 k=(    0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184138    0.039424    0.149040    0.150879    0.287478
         0.330608    0.364853    0.405017


 k=(    0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177355    0.049571    0.122914    0.130329    0.258625
         0.324884    0.404623    0.417080


 k=(    0.000000    0.333333    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159811    0.022401    0.115972    0.121797    0.233458
         0.280584    0.469571    0.469767


 k=(   -0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133009   -0.016624    0.097142    0.110270    0.239466
         0.284365    0.480985    0.485825


 k=(   -0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.105515   -0.047369    0.064112    0.113981    0.246093
         0.342954    0.472590    0.473827


 k=(    0.666667    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.113798   -0.036132    0.048689    0.126512    0.260429
         0.422325    0.445164    0.458706


 k=(    0.555556    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141800   -0.012886    0.070026    0.145319    0.282330
         0.384263    0.386871    0.469610


 k=(    0.444444    0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164963    0.019213    0.097517    0.143712    0.306099
         0.333265    0.383815    0.404399


 k=(    0.333333    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184182    0.039804    0.147091    0.152346    0.287870
         0.331812    0.363317    0.403741


 k=(    0.222222    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192893    0.061201    0.130100    0.182520    0.301660
         0.331808    0.343416    0.428939


 k=(    0.111111    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190434    0.068435    0.120685    0.162145    0.293314
         0.343523    0.367191    0.388884


 k=(    0.000000    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176856    0.045013    0.121108    0.136658    0.261640
         0.321068    0.406668    0.419200


 k=(   -0.111111    0.222222    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153124    0.009237    0.094906    0.122626    0.272155
         0.310643    0.406586    0.466398


 k=(   -0.222222    0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123468   -0.029102    0.073788    0.107944    0.284137
         0.353722    0.389921    0.482803


 k=(    0.666667    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.112100   -0.040969    0.059633    0.110135    0.294597
         0.374905    0.427896    0.446665


 k=(    0.555556    0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137468   -0.009265    0.062817    0.124915    0.312869
         0.354247    0.384559    0.458708


 k=(    0.444444    0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154207    0.014932    0.094659    0.116873    0.274201
         0.310530    0.400046    0.466803


 k=(    0.333333    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177399    0.050147    0.120943    0.131618    0.259408
         0.324334    0.404267    0.416160


 k=(    0.222222    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190429    0.068298    0.120812    0.162216    0.293357
         0.343593    0.366980    0.388691


 k=(    0.111111    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192337    0.054795    0.136629    0.180958    0.304766
         0.338627    0.343302    0.424763


 k=(    0.000000    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183032    0.031750    0.148590    0.157978    0.292621
         0.335459    0.365885    0.398114


 k=(   -0.111111    0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163139    0.010033    0.097835    0.152266    0.307967
         0.341560    0.378018    0.402923


 k=(   -0.222222    0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134964   -0.016988    0.062462    0.131460    0.319240
         0.351884    0.384162    0.457553


 k=(   -0.333333    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110409   -0.043534    0.056497    0.114235    0.301347
         0.366957    0.425524    0.447133


 k=(    0.555556    0.111111    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.124669   -0.025420    0.070239    0.108229    0.291123
         0.347234    0.384757    0.481642


 k=(    0.444444    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133374   -0.014876    0.090087    0.115316    0.244647
         0.280023    0.477988    0.482584


 k=(    0.333333    0.000000    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159787    0.022173    0.117029    0.121031    0.233601
         0.280333    0.469412    0.469765


 k=(    0.222222    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176788    0.044144    0.123004    0.135860    0.261015
         0.321231    0.406700    0.420378


 k=(    0.111111    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182977    0.031319    0.149445    0.157740    0.292265
         0.333790    0.367728    0.399368


 k=(    0.000000    0.000000    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178124    0.008595    0.166620    0.175722    0.269627
         0.331308    0.341719    0.491532


 k=(   -0.111111    0.000000    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162692   -0.009552    0.124812    0.170468    0.293515
         0.337833    0.346794    0.472826


 k=(   -0.222222    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138145   -0.023833    0.071673    0.151749    0.288529
         0.384201    0.389047    0.464689


 k=(   -0.333333    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.109304   -0.044125    0.046707    0.132222    0.266713
         0.415424    0.438910    0.463366


 k=(    0.555556    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104489   -0.047969    0.058114    0.119241    0.252400
         0.337203    0.465615    0.473197


 k=(    0.444444   -0.111111    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104408   -0.048114    0.084083    0.093711    0.266388
         0.279216    0.469572    0.536128


 k=(    0.333333   -0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132738   -0.017463    0.096821    0.111266    0.240372
         0.283315    0.481165    0.486563


 k=(    0.222222   -0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152874    0.007928    0.095373    0.123549    0.271977
         0.310357    0.407904    0.466313


 k=(    0.111111   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162946    0.009090    0.097900    0.153339    0.306878
         0.342385    0.378598    0.403288


 k=(    0.000000   -0.111111    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162579   -0.009876    0.123854    0.172055    0.293877
         0.337991    0.345638    0.473865


 k=(   -0.111111   -0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152256   -0.027316    0.140458    0.148107    0.286022
         0.328664    0.362714    0.454676


 k=(   -0.222222   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133394   -0.037826    0.094796    0.136247    0.310372
         0.324319    0.406601    0.445191


 k=(   -0.333333   -0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108593   -0.047218    0.058478    0.114132    0.301104
         0.370230    0.422488    0.447624


 k=(    0.555556   -0.111111    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.083404   -0.067180    0.057482    0.097682    0.282969
         0.337782    0.448010    0.458415


 k=(    0.444444   -0.222222    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.088694   -0.061043    0.060680    0.093652    0.278234
         0.342378    0.449153    0.458033


 k=(    0.333333   -0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104372   -0.049266    0.063849    0.115012    0.247298
         0.341725    0.472424    0.474588


 k=(    0.222222   -0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122683   -0.030983    0.073568    0.109412    0.285121
         0.352529    0.391030    0.482501


 k=(    0.111111   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134420   -0.018604    0.062586    0.132585    0.320785
         0.351357    0.383883    0.457167


 k=(    0.000000   -0.222222    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.137794   -0.024614    0.071055    0.152970    0.290008
         0.382929    0.388084    0.465339


 k=(   -0.111111   -0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133224   -0.038071    0.093383    0.137975    0.309625
         0.326180    0.404717    0.445333


 k=(   -0.222222   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122833   -0.045137    0.082069    0.133670    0.270999
         0.391002    0.403921    0.430080


 k=(    0.333333    0.222222    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109676   -0.045673    0.060476    0.111608    0.297224
         0.374778    0.423385    0.448080


 k=(    0.444444    0.222222    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.095839   -0.051532    0.060915    0.082654    0.346729
         0.350125    0.374221    0.438969


 k=(    0.444444    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113807   -0.036757    0.055677    0.111713    0.296085
         0.369743    0.431880    0.446555


 k=(    0.333333    0.666667    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.112923   -0.037794    0.048348    0.127698    0.261706
         0.420641    0.443793    0.459525


 k=(    0.222222    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110833   -0.043353    0.059432    0.111551    0.295802
         0.375738    0.426160    0.446181


 k=(    0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109078   -0.045940    0.056423    0.115452    0.302652
         0.367674    0.424090    0.446350


 k=(    0.000000   -0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.108336   -0.045740    0.046392    0.133151    0.268126
         0.414042    0.437535    0.465284


 k=(   -0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108135   -0.047803    0.057397    0.115395    0.302539
         0.369331    0.422571    0.446575


 k=(    0.222222    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109590   -0.045723    0.059881    0.112231    0.297170
         0.375641    0.423869    0.446944


 k=(    0.333333    0.333333    0.666667):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.112026   -0.039472    0.048074    0.128764    0.263083
         0.418854    0.442323    0.460875


 k=(    0.444444    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113490   -0.037286    0.055151    0.112456    0.297559
         0.368003    0.430938    0.447246


 k=(    0.444444    0.555556    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137957   -0.025871    0.087815    0.136003    0.307731
         0.322514    0.399056    0.445828


 k=(    0.333333    0.555556    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141482   -0.013659    0.069218    0.146828    0.283636
         0.383197    0.385798    0.469662


 k=(    0.222222    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136987   -0.010828    0.062747    0.126249    0.314226
         0.353527    0.384697    0.458481


 k=(    0.111111    0.555556    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123995   -0.027081    0.069932    0.109623    0.292153
         0.346208    0.385753    0.481276


 k=(    0.000000    0.555556    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103537   -0.049468    0.057794    0.120020    0.253718
         0.336042    0.465984    0.473303


 k=(   -0.111111    0.555556    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.081979   -0.068702    0.056688    0.098521    0.284282
         0.336595    0.447598    0.458497


 k=(    0.222222    0.444444    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.095981   -0.051279    0.060709    0.082723    0.345453
         0.351653    0.374037    0.438821


 k=(    0.333333    0.444444    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113627   -0.037102    0.055635    0.111821    0.297699
         0.367092    0.430561    0.447912


 k=(    0.555556    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128014   -0.032880    0.073965    0.134780    0.271478
         0.385163    0.394431    0.434296


 k=(    0.444444    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149741   -0.000512    0.092018    0.129252    0.266242
         0.360330    0.396081    0.407811


 k=(    0.333333    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164818    0.018804    0.095604    0.146375    0.305525
         0.336019    0.383072    0.400928


 k=(    0.222222    0.444444    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169713    0.028576    0.084903    0.164758    0.302274
         0.366312    0.374095    0.419590


 k=(    0.111111    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164015    0.013932    0.099862    0.145720    0.310651
         0.335156    0.378553    0.405928


 k=(    0.000000    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148047   -0.006931    0.092889    0.133185    0.270725
         0.356007    0.397198    0.410323


 k=(   -0.111111    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123170   -0.028850    0.068006    0.113070    0.291168
         0.346334    0.389537    0.477960


 k=(   -0.222222    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.094316   -0.053739    0.059528    0.084830    0.343371
         0.355071    0.374324    0.437158


 k=(    0.666667    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.097480   -0.048939    0.061653    0.080849    0.347680
         0.348278    0.373441    0.440640


 k=(    0.555556    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125896   -0.022074    0.069305    0.107172    0.287577
         0.350070    0.385656    0.479184


 k=(    0.444444    0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164975    0.019467    0.096619    0.144428    0.306478
         0.334051    0.383123    0.402557


 k=(    0.333333    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184228    0.040217    0.145702    0.153198    0.288254
         0.333294    0.361508    0.402499


 k=(    0.222222    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192976    0.061916    0.130820    0.180532    0.301371
         0.333588    0.342422    0.428548


 k=(    0.111111    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190556    0.070173    0.120211    0.160511    0.293733
         0.343027    0.366528    0.389165


 k=(    0.000000    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177025    0.046825    0.119009    0.136777    0.261848
         0.321390    0.405901    0.417646


 k=(   -0.111111    0.333333    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153349    0.010420    0.094531    0.121775    0.272497
         0.310652    0.405289    0.466386


 k=(   -0.222222    0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123740   -0.028508    0.074533    0.106709    0.284361
         0.353718    0.388656    0.484168


 k=(    0.666667    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.112192   -0.040898    0.060237    0.109483    0.294655
         0.373994    0.427389    0.447921


 k=(    0.555556    0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137457   -0.009321    0.062862    0.124932    0.312810
         0.354469    0.384359    0.458572


 k=(    0.444444    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169983    0.030293    0.084732    0.163062    0.301046
         0.367735    0.373536    0.420098


 k=(    0.333333    0.222222    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.193057    0.062582    0.131780    0.178338    0.301167
         0.335905    0.340840    0.428271


 k=(    0.222222    0.222222    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205879    0.086452    0.176991    0.181740    0.279009
         0.328023    0.332502    0.438863


 k=(    0.111111    0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207418    0.107996    0.160513    0.168099    0.285361
         0.332384    0.359303    0.385699


 k=(    0.000000    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197534    0.094405    0.142229    0.149373    0.254352
         0.336372    0.397156    0.398112


 k=(   -0.111111    0.222222    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176858    0.044445    0.128853    0.130125    0.257932
         0.323676    0.407112    0.421684


 k=(   -0.222222    0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148076   -0.007997    0.101572    0.126250    0.263196
         0.362261    0.397640    0.416515


 k=(   -0.333333    0.222222    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.125313   -0.040043    0.081569    0.131536    0.268433
         0.389912    0.403415    0.432835


 k=(    0.555556    0.222222    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.140650   -0.017245    0.073513    0.144822    0.282201
         0.386912    0.391646    0.466421


 k=(    0.444444    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164374    0.015737    0.099882    0.143991    0.310247
         0.333448    0.379702    0.406279


 k=(    0.333333    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190671    0.071758    0.120071    0.158734    0.294264
         0.342514    0.365713    0.389304


 k=(    0.222222    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207441    0.108605    0.161566    0.166246    0.285653
         0.333154    0.358172    0.385010


 k=(    0.111111    0.111111    0.222222):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213052    0.121774    0.157137    0.195696    0.312766
         0.317122    0.322964    0.399134


 k=(    0.000000    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207145    0.100929    0.165585    0.170628    0.287351
         0.334445    0.358964    0.384551


 k=(   -0.111111    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190070    0.064024    0.120837    0.167620    0.291971
         0.343819    0.370064    0.388801


 k=(   -0.222222    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163491    0.011439    0.098800    0.150319    0.303945
         0.338465    0.382765    0.408158


 k=(   -0.333333    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135124   -0.033534    0.092167    0.136531    0.307369
         0.324830    0.403994    0.447922


 k=(    0.555556    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135838   -0.031844    0.092945    0.134144    0.312517
         0.320108    0.404976    0.441946


 k=(    0.444444    0.000000    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148470   -0.005378    0.092555    0.132438    0.269476
         0.357148    0.396453    0.410165


 k=(    0.333333    0.000000    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177124    0.047724    0.118882    0.136054    0.261439
         0.321901    0.405089    0.417345


 k=(    0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197527    0.094032    0.143546    0.148521    0.254428
         0.336147    0.397220    0.397863


 k=(    0.111111    0.000000    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207116    0.100170    0.165153    0.172159    0.287113
         0.333546    0.359983    0.384982


 k=(    0.000000    0.000000    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205261    0.077733    0.179173    0.188591    0.283555
         0.328411    0.336841    0.435075


 k=(   -0.111111    0.000000    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192085    0.052975    0.133758    0.187435    0.305121
         0.332341    0.347752    0.425535


 k=(   -0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168613    0.022139    0.085410    0.171314    0.306952
         0.361215    0.376642    0.417537


 k=(   -0.333333    0.000000    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138993   -0.020987    0.069500    0.152114    0.288602
         0.381211    0.386874    0.467496


 k=(    0.555556    0.000000    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124763   -0.040098    0.074707    0.138128    0.274937
         0.386078    0.395841    0.430775


 k=(    0.444444   -0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123576   -0.027830    0.067686    0.112874    0.289847
         0.347358    0.389874    0.476977


 k=(    0.333333   -0.111111    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153325    0.010244    0.094741    0.121777    0.272663
         0.310383    0.405338    0.466194


 k=(    0.222222   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176733    0.043261    0.128813    0.131425    0.258496
         0.322783    0.407554    0.422284


 k=(    0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189940    0.062390    0.121376    0.169143    0.291674
         0.343822    0.370935    0.388681


 k=(    0.000000   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.191997    0.052284    0.133226    0.189223    0.305461
         0.330629    0.348705    0.425952


 k=(   -0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182824    0.030207    0.151192    0.157557    0.291160
         0.330124    0.371977    0.403290


 k=(   -0.222222   -0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163050    0.009001    0.100939    0.149991    0.306627
         0.338009    0.380627    0.410269


 k=(   -0.333333   -0.111111    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134932   -0.017124    0.062561    0.131510    0.318998
         0.352532    0.383690    0.457102


 k=(   -0.444444   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109876   -0.044134    0.054562    0.116620    0.300785
         0.370362    0.427434    0.444627


 k=(    0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.094158   -0.054007    0.059712    0.084780    0.343896
         0.354248    0.374558    0.437298


 k=(    0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123234   -0.029816    0.075060    0.106969    0.285584
         0.352497    0.388542    0.485120


 k=(    0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147604   -0.009687    0.101752    0.127347    0.264359
         0.360920    0.398086    0.417163


 k=(    0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163105    0.009562    0.099083    0.151833    0.304551
         0.339866    0.381617    0.407846


 k=(    0.000000   -0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168327    0.020498    0.085744    0.172711    0.308424
         0.359660    0.377526    0.416936


 k=(   -0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162884    0.008370    0.100125    0.151652    0.305932
         0.339609    0.380572    0.408904


 k=(   -0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147133   -0.011336    0.102035    0.128249    0.265612
         0.359564    0.398724    0.417597


 k=(   -0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122454   -0.031666    0.074824    0.108400    0.286652
         0.351259    0.389662    0.484803


 k=(   -0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.093160   -0.055472    0.059522    0.085489    0.344600
         0.353919    0.375019    0.436417


 k=(    0.444444    0.666667    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.096625   -0.050316    0.061316    0.081778    0.347235
         0.349097    0.373870    0.439881


 k=(    0.333333    0.666667    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.111012   -0.043233    0.060630    0.110277    0.295914
         0.373961    0.425169    0.448580


 k=(   -0.222222    0.333333   -0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124101   -0.042575    0.081780    0.132679    0.269663
         0.390331    0.403798    0.431494


 k=(    0.111111   -0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134106   -0.035922    0.092082    0.138135    0.308078
         0.326447    0.403406    0.446721


 k=(    0.000000   -0.333333    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138227   -0.023199    0.069986    0.153156    0.290043
         0.381395    0.387005    0.466868


 k=(   -0.111111   -0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134408   -0.018654    0.062621    0.132604    0.320683
         0.351610    0.383710    0.456990


 k=(   -0.222222   -0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122175   -0.032240    0.074076    0.109609    0.286413
         0.351287    0.390885    0.483551


 k=(   -0.333333   -0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103199   -0.051155    0.063622    0.115923    0.248590
         0.340458    0.473296    0.474320


 k=(   -0.444444   -0.333333    0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.087429   -0.062599    0.060007    0.094607    0.279526
         0.341067    0.448513    0.458575


 k=(    0.444444    0.555556    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125629   -0.022718    0.068672    0.108379    0.287283
         0.350075    0.386980    0.477847


 k=(    0.333333    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136957   -0.010975    0.062862    0.126294    0.314053
         0.354123    0.384179    0.458100


 k=(    0.222222    0.555556    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139917   -0.019443    0.073805    0.146152    0.283469
         0.387338    0.391629    0.465155


 k=(    0.111111    0.555556    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134861   -0.034176    0.092728    0.135853    0.312791
         0.322178    0.404457    0.440675


 k=(    0.000000    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.123583   -0.042564    0.075098    0.138971    0.276302
         0.386915    0.395732    0.429461


 k=(    0.111111    0.444444   -0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108682   -0.046360    0.054966    0.117211    0.302229
         0.370157    0.425569    0.444570


 k=(    0.222222    0.444444   -0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.092255   -0.056739    0.059148    0.086258    0.344645
         0.354540    0.375227    0.435423


 k=(    0.333333    0.444444   -0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.087530   -0.062461    0.059959    0.094607    0.279537
         0.341101    0.447980    0.458967


 k=(    0.555556    0.555556    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107282   -0.043348    0.059298    0.116243    0.248970
         0.340430    0.465692    0.471678


 k=(    0.444444    0.444444    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133975   -0.013133    0.091681    0.112428    0.242305
         0.282544    0.478348    0.479600


 k=(    0.333333    0.444444    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153972    0.013568    0.095012    0.117975    0.273919
         0.310346    0.401430    0.466406


 k=(    0.222222    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163964    0.013308    0.101739    0.144413    0.309838
         0.333661    0.379808    0.409426


 k=(    0.111111    0.444444    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163567   -0.006666    0.128465    0.163331    0.291724
         0.336911    0.349302    0.472857


 k=(    0.000000    0.444444    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153243   -0.024257    0.131530    0.154961    0.287238
         0.333230    0.353587    0.450152


 k=(   -0.111111    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134354   -0.034894    0.088544    0.141130    0.309744
         0.328283    0.399150    0.441065


 k=(   -0.222222    0.444444    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109402   -0.045294    0.055931    0.115923    0.299225
         0.373702    0.426707    0.444041


 k=(    0.666667    0.444444    0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.085023   -0.065345    0.058125    0.096851    0.281638
         0.339104    0.447582    0.458844


 k=(    0.555556    0.444444    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105877   -0.045483    0.085095    0.091177    0.267906
         0.278171    0.465164    0.535554


 k=(    0.444444    0.333333    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154193    0.014816    0.094823    0.116846    0.274312
         0.310358    0.400071    0.466697


 k=(    0.333333    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177447    0.050837    0.119073    0.132664    0.260192
         0.323808    0.404225    0.414955


 k=(    0.222222    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190547    0.069940    0.120433    0.160618    0.293806
         0.343147    0.366175    0.388861


 k=(    0.111111    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192533    0.056701    0.136140    0.179332    0.303741
         0.338623    0.342809    0.425280


 k=(    0.000000    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183318    0.033754    0.146465    0.158196    0.291883
         0.336162    0.363786    0.398006


 k=(   -0.111111    0.333333    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163535    0.012138    0.096715    0.151468    0.307612
         0.340970    0.378525    0.401407


 k=(   -0.222222    0.333333    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135484   -0.015403    0.062333    0.130380    0.317506
         0.352825    0.384143    0.457780


 k=(   -0.333333    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110847   -0.042934    0.057539    0.112973    0.299861
         0.367873    0.425652    0.447986


 k=(    0.555556    0.333333    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.124663   -0.025689    0.071760    0.106988    0.289828
         0.348716    0.384470    0.483071


 k=(    0.444444    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164350    0.015424    0.100852    0.143303    0.309834
         0.332714    0.380344    0.408027


 k=(    0.333333    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190668    0.071665    0.120162    0.158771    0.294293
         0.342562    0.365575    0.389191


 k=(    0.222222    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207465    0.109347    0.162549    0.164306    0.285919
         0.334084    0.356945    0.384352


 k=(    0.111111    0.222222    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213106    0.123795    0.156551    0.193635    0.312075
         0.318927    0.321857    0.398989


 k=(    0.000000    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207231    0.103152    0.163573    0.170037    0.287194
         0.335027    0.357765    0.384126


 k=(   -0.111111    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190193    0.065635    0.120271    0.166222    0.292300
         0.343705    0.369124    0.388834


 k=(   -0.222222    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163654    0.012099    0.099582    0.148661    0.304601
         0.336839    0.382883    0.409567


 k=(   -0.333333    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135288   -0.033288    0.093594    0.134781    0.308044
         0.323012    0.405947    0.447785


 k=(    0.555556    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135849   -0.031973    0.094400    0.132717    0.312943
         0.318475    0.406815    0.442845


 k=(    0.444444    0.111111    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.164103   -0.004666    0.128350    0.161817    0.290857
         0.335927    0.349014    0.473610


 k=(    0.333333    0.111111    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192726    0.058611    0.135839    0.177468    0.302876
         0.339505    0.341348    0.425846


 k=(    0.222222    0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213159    0.125766    0.156334    0.191235    0.312125
         0.320044    0.320748    0.398797


 k=(    0.111111    0.111111    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222693    0.162986    0.191023    0.196215    0.293740
         0.311777    0.315364    0.365304


 k=(    0.000000    0.111111    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220656    0.163566    0.176751    0.187254    0.283102
         0.331955    0.335717    0.356935


 k=(   -0.111111    0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207162    0.101559    0.159973    0.176460    0.285387
         0.330983    0.362775    0.386975


 k=(   -0.222222    0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183303    0.033430    0.148888    0.157026    0.288986
         0.328874    0.371063    0.405573


 k=(   -0.333333    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153682   -0.023247    0.140140    0.145895    0.283960
         0.326662    0.361992    0.457086


 k=(    0.555556    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140545   -0.042914    0.130201    0.150420    0.283946
         0.327998    0.353070    0.504331


 k=(    0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153929   -0.022253    0.130993    0.154279    0.286254
         0.331688    0.353679    0.451355


 k=(    0.333333    0.000000    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183546    0.035332    0.145577    0.157759    0.290877
         0.335092    0.363604    0.399120


 k=(    0.222222    0.000000    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207289    0.104591    0.162293    0.169810    0.286851
         0.334648    0.357637    0.384132


 k=(    0.111111    0.000000    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220654    0.162479    0.178775    0.186425    0.283061
         0.332576    0.334980    0.356876


 k=(    0.000000    0.000000    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222560    0.152063    0.194837    0.205387    0.299395
         0.308606    0.314658    0.362743


 k=(   -0.111111    0.000000    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212889    0.117055    0.156851    0.202941    0.309991
         0.317419    0.325247    0.399491


 k=(   -0.222222    0.000000    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192311    0.055426    0.131278    0.188128    0.303758
         0.329549    0.347902    0.427248


 k=(   -0.333333    0.000000    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163573   -0.006160    0.121900    0.171481    0.292372
         0.335044    0.345046    0.474833


 k=(   -0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140261   -0.043227    0.122410    0.159322    0.286058
         0.331794    0.344742    0.503667


 k=(    0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135172   -0.032805    0.087312    0.141255    0.308389
         0.328370    0.397778    0.442417


 k=(    0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163736    0.013287    0.095713    0.151690    0.306266
         0.341223    0.379618    0.400128


 k=(    0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190188    0.065509    0.120381    0.166301    0.292338
         0.343760    0.368935    0.388635


 k=(    0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207098    0.099968    0.161267    0.176976    0.285780
         0.331212    0.362810    0.386712


 k=(    0.000000   -0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212833    0.115314    0.157457    0.204789    0.310049
         0.316436    0.326195    0.399514


 k=(   -0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207036    0.098472    0.162640    0.177270    0.286196
         0.331517    0.362818    0.386483


 k=(   -0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190061    0.063834    0.120998    0.167752    0.292028
         0.343902    0.369773    0.388477


 k=(   -0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163548    0.012315    0.095842    0.152721    0.305207
         0.342100    0.380188    0.400425


 k=(   -0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135020   -0.033180    0.087290    0.141627    0.307698
         0.328994    0.397646    0.443472


 k=(   -0.444444    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110225   -0.043603    0.055027    0.115985    0.299260
         0.372161    0.428151    0.444176


 k=(   -0.333333    0.222222   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135464   -0.015490    0.062397    0.130410    0.317372
         0.353217    0.383838    0.457510


 k=(   -0.222222    0.222222   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163434    0.010852    0.100680    0.148513    0.305899
         0.336641    0.381792    0.410620


 k=(   -0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183063    0.031800    0.149791    0.157586    0.290031
         0.329425    0.371606    0.404432


 k=(    0.000000    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192111    0.053486    0.132012    0.189584    0.304746
         0.329213    0.348809    0.426836


 k=(    0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189937    0.062322    0.121431    0.169194    0.291693
         0.343851    0.370830    0.388557


 k=(    0.222222    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176613    0.042157    0.129294    0.132085    0.259067
         0.321948    0.408187    0.422713


 k=(   -0.333333   -0.222222    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153085    0.008963    0.095225    0.122640    0.272415
         0.310220    0.406667    0.466084


 k=(   -0.444444   -0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123297   -0.028690    0.068463    0.112864    0.288344
         0.348798    0.390896    0.477031


 k=(    0.555556    0.333333   -0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.084889   -0.065515    0.058171    0.096854    0.281626
         0.339072    0.448087    0.458478


 k=(   -0.333333    0.333333   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109972   -0.044758    0.058547    0.112927    0.299732
         0.369485    0.424123    0.448271


 k=(   -0.222222    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134440   -0.035432    0.094923    0.134657    0.309487
         0.322782    0.407244    0.446441


 k=(   -0.111111    0.333333   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152976   -0.025284    0.139950    0.147388    0.284949
         0.327539    0.362482    0.455906


 k=(    0.000000    0.333333   -0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163024   -0.008188    0.122411    0.172579    0.293276
         0.336243    0.345118    0.474870


 k=(    0.111111    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163154    0.010225    0.096910    0.153570    0.305469
         0.342672    0.379665    0.402077


 k=(    0.222222    0.333333   -0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152859    0.007828    0.095486    0.123559    0.272072
         0.310201    0.407935    0.466192


 k=(    0.333333    0.333333   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132484   -0.018227    0.096534    0.112129    0.241313
         0.282281    0.481725    0.486948


 k=(    0.444444    0.333333   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103915   -0.049004    0.084486    0.093820    0.266416
         0.279040    0.470725    0.536272


 k=(    0.444444    0.555556    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105484   -0.046211    0.085096    0.091610    0.267599
         0.278345    0.466337    0.535776


 k=(    0.333333    0.555556    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123963   -0.027665    0.072980    0.107169    0.289622
         0.348988    0.385287    0.484140


 k=(    0.222222    0.555556    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134877   -0.034439    0.095578    0.133062    0.313370
         0.319198    0.408002    0.442577


 k=(    0.111111    0.555556    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139380   -0.045431    0.130199    0.151782    0.284859
         0.328964    0.353435    0.505305


 k=(    0.000000    0.444444   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139091   -0.045751    0.122852    0.160186    0.286982
         0.333675    0.344226    0.504549


 k=(    0.111111    0.444444   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134036   -0.035648    0.088481    0.141892    0.308323
         0.329558    0.398827    0.443278


 k=(    0.222222    0.444444   -0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122584   -0.030599    0.069563    0.113055    0.288199
         0.349079    0.391624    0.478190


 k=(    0.333333    0.444444   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103513   -0.049700    0.084487    0.094198    0.266130
         0.279227    0.471795    0.536213


 k=(    0.444444    0.444444   -0.111111):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.082585   -0.073247    0.084187    0.105412    0.236015
         0.268049    0.540727    0.551813


 k=(    0.444444    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.108820   -0.046963    0.104077    0.106156    0.228705
         0.243573    0.544751    0.544912


 k=(    0.333333    0.444444    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132959   -0.016442    0.092444    0.114491    0.243340
         0.280846    0.478911    0.485042


 k=(    0.222222    0.444444    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147844   -0.008190    0.096187    0.131329    0.267946
         0.358381    0.396524    0.413796


 k=(    0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153127   -0.024704    0.133996    0.152928    0.286276
         0.330053    0.358097    0.452355


 k=(    0.000000    0.444444    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.149645   -0.040279    0.158538    0.169593    0.261327
         0.324293    0.337387    0.490988


 k=(   -0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139205   -0.045621    0.125166    0.157511    0.286052
         0.330564    0.349188    0.504752


 k=(    0.222222    0.555556    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.123764   -0.042621    0.077508    0.136853    0.273339
         0.388047    0.399754    0.429878


 k=(    0.333333    0.555556    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103741   -0.049632    0.060118    0.118348    0.250888
         0.338488    0.467998    0.474274


 k=(    0.555556    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.079717   -0.076179    0.082119    0.107516    0.238133
         0.266003    0.539611    0.551488


 k=(    0.444444    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133260   -0.015404    0.091465    0.114549    0.243544
         0.280883    0.477950    0.483851


 k=(    0.333333    0.333333    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159772    0.022037    0.117949    0.120284    0.233687
         0.280183    0.469378    0.469702


 k=(    0.222222    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176893    0.045083    0.122732    0.135232    0.260534
         0.321844    0.405847    0.420121


 k=(    0.111111    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183209    0.032881    0.148140    0.157755    0.291161
         0.332779    0.367576    0.400491


 k=(    0.000000    0.333333    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178502    0.010362    0.165011    0.176102    0.268743
         0.329252    0.341957    0.491041


 k=(   -0.111111    0.333333    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163247   -0.007535    0.124289    0.169439    0.292528
         0.336000    0.347379    0.472810


 k=(   -0.222222    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138918   -0.021617    0.071184    0.150732    0.287030
         0.383649    0.389285    0.465434


 k=(   -0.333333    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.110257   -0.042477    0.046964    0.131309    0.265254
         0.417039    0.440390    0.461397


 k=(    0.555556    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104612   -0.048008    0.059247    0.118412    0.250964
         0.338468    0.466565    0.473694


 k=(    0.444444    0.222222    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148374   -0.006008    0.094192    0.131524    0.268065
         0.358446    0.395988    0.411939


 k=(    0.333333    0.222222    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177061    0.046853    0.120720    0.135293    0.260751
         0.322193    0.405000    0.418642


 k=(    0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197523    0.093813    0.144632    0.147710    0.254474
         0.336014    0.397372    0.397599


 k=(    0.111111    0.222222    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207175    0.101573    0.163548    0.172284    0.286724
         0.333146    0.359921    0.385060


 k=(    0.000000    0.222222    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205386    0.079442    0.177325    0.188787    0.282505
         0.326944    0.337390    0.435828


 k=(   -0.111111    0.222222    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192284    0.054902    0.133014    0.186046    0.304032
         0.332465    0.347126    0.425956


 k=(   -0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168895    0.023839    0.085010    0.169944    0.305401
         0.362890    0.375756    0.418143


 k=(   -0.333333    0.222222    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139334   -0.020186    0.070079    0.150911    0.287068
         0.382223    0.388159    0.466720


 k=(    0.555556    0.222222    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124856   -0.040122    0.075901    0.137079    0.273432
         0.386673    0.397885    0.430933


 k=(    0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153874   -0.022475    0.132193    0.153294    0.285766
         0.330082    0.355974    0.452434


 k=(    0.333333    0.111111    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183493    0.034889    0.146440    0.157512    0.290512
         0.333377    0.365552    0.400351


 k=(    0.222222    0.111111    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207261    0.103768    0.162506    0.170723    0.286619
         0.333663    0.358776    0.384635


 k=(    0.111111    0.111111    0.000000):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220654    0.161917    0.180106    0.185719    0.283036
         0.333350    0.334136    0.356841


 k=(    0.000000    0.111111    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222587    0.154102    0.192573    0.205299    0.297990
         0.308237    0.315996    0.363253


 k=(   -0.111111    0.111111    0.000000):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212944    0.118949    0.156040    0.201192    0.309623
         0.318882    0.324106    0.399449


 k=(   -0.222222    0.111111    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192396    0.056152    0.131749    0.186378    0.303385
         0.331106    0.347152    0.426784


 k=(   -0.333333    0.111111    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163682   -0.005831    0.122822    0.169927    0.291987
         0.334871    0.346237    0.473809


 k=(   -0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140317   -0.043164    0.123544    0.158008    0.285584
         0.330256    0.347218    0.503731


 k=(   -0.444444    0.000000    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.150604   -0.037995    0.157578    0.169424    0.260570
         0.323063    0.336761    0.490109


 k=(   -0.333333    0.000000    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178875    0.012140    0.163949    0.175852    0.267920
         0.328048    0.341361    0.491110


 k=(   -0.222222    0.000000    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205511    0.081178    0.176018    0.188355    0.281532
         0.326164    0.337243    0.436576


 k=(   -0.111111    0.000000    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222613    0.156258    0.190770    0.204587    0.296711
         0.308451    0.316675    0.363753


 k=(    0.000000    0.000000    0.000000):       259 3-d basis functions
 the   8 eigenvalues are:
        -0.228438    0.198300    0.203891    0.215984    0.293988
         0.300750    0.304262    0.320999


 fermi energy and band-weighting factors:

FERMIE:
          first approx. to ef    (T=0)  :  0.215984 htr   (energy of the highest occ. eigenvalue)
          number of occ. states  (T=0)  :      1460
          first approx. to seigv (T=0)  :  0.176373 htr
          sum of weights of occ. states :  4.000000
          sum of semicore eigenvalues   :  0.000000 htr
          sum of semicore charge        :  0.000000 e



FERHIS:  Fermi-Energy by histogram:

          bandgap                     :   0.012009 htr
          charge neutrality (T=0)     :   0.000000    (zero if the highest occ. eigenvalue is "entirely" occupied)

     EF_NEWTON:  Adjust Fermi-Energy by Newton-Method.

               Number of iterations needed  :   4
               The error in the weight is   :  0.81810E-14
               The error in ef is           : -0.58804E-12 htr


     -->  new fermi energy            :   0.221260 htr
          valence charge              :   8.000000 e 
          actual charge blw ef-8kt    :   7.997257 e 
          actual charge blw ef+8kt    :   8.000000 e 
          number of occ. states       :      1463
          sum of the valence weights  :   4.000000
          entropy         :   0.000200 *kb htr/K =   0.00000 htr/K

          sum of val. single particle energies:         0.1763732088 htr



          valence density: spin= 1

     l-like charge
     atom     s        p        d        f        total
 --> 1    0.89051  1.17095  0.08212  0.00603    2.15121
 --> 2    0.89051  1.17095  0.08212  0.00603    2.15121
 Energy Parameters for spin:           1
 Max. mismatch of energy parameters:    0.000000

     energy parameters for window 1
     atom     s        p        d        f
 -->  1   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0
 -->  2   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0

          total charge for spin  1=    8.000000
          interst. charge =       3.697589
          mt charge=              2.151206    2.151206

          total charge  =    8.000000


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.2037        2.
               2.   0.   0.5   -4.7108        2.
               2.   1.   0.5   -3.1110        2.
               2.   1.   1.5   -3.0873        4.
          atom type  1  (spin 1) 
          kinetic energy=  0.285372381923E+03     sum of the eigenvalues= -0.158399952887E+03
          0.00178911  electrons lost from core.


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.2037        2.
               2.   0.   0.5   -4.7108        2.
               2.   1.   0.5   -3.1110        2.
               2.   1.   1.5   -3.0873        4.
          atom type  2  (spin 1) 
          kinetic energy=  0.285372381923E+03     sum of the eigenvalues= -0.158399952928E+03
          0.00178911  electrons lost from core.

          alpha=   1.39394     acoff=   0.09674

          alpha=   1.39394     acoff=   0.09674

          total charge for spin  1=   28.000000
          interst. charge =       3.701066
          mt charge=             12.149467   12.149467

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701066
          mt charge=             12.149467   12.149467

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*



     t o t a l  e n e r g y

          sum of eigenvalues =              -316.6235326061

          density-coulomb potential int     -844.4028929120

          density-effective potential i     -898.3130163578

          charge density-ex.-corr.energ      -41.7444734851
 
 FORCES: EQUATION A3 FOR ATOM TYPE   1
 FX_A3= -0.013531  0.000000 FY_A3= -0.008920  0.000000 FZ_A3= -0.004205  0.000000
 FORCES: EQUATION A3 FOR ATOM TYPE   2
 FX_A3=  0.013531  0.000000 FY_A3=  0.008920  0.000000 FZ_A3=  0.004205  0.000000

          el.-nucl. inter. diff. m.t.        342.2717598036

          Madelung term for atom type:        -6.6357942520

          el.-nucl. inter. diff. m.t.        342.2717597597

          Madelung term for atom type:        -6.6357942707


 ----> total energy=                        -580.0715442754 htr

 ***** TOTAL FORCES ON ATOMS ***** 

 TOTAL FORCE FOR ATOM TYPE=  1  X=  1.292   Y=  1.292   Z=  1.292
                       FX_TOT=-0.013531 FY_TOT=-0.008920 FZ_TOT=-0.004205
 TOTAL FORCE FOR ATOM TYPE=  2  X= -1.369   Y= -1.344   Z= -1.318
                       FX_TOT= 0.013531 FY_TOT= 0.008920 FZ_TOT= 0.004205
eps_force= 0.00001max= 0.00003


 ---->(tkb*entropy) TS=                        0.0000001996 htr


 ----> free energy=                         -580.0715444751 htr


      extrapolation for T->0
 ----> total electron energy=               -580.0715443753 htr
 wrtdop title:alpha Si                                                                ordered*
 wrtdop title:alpha Si                                                                ordered*
     <vi|w|Fm> for it 2       0.056227
     <vi|w|Fm> for it 3      -0.067826
     <vi|w|Fm> for it 4      -0.008315
     <vi|w|Fm> for it 5      -0.288813
     <vi|w|Fm> for it 6       0.484855
     <vi|w|Fm> for it 7      11.004781

----> distance of charge densities for spin  1        it=  8:   0.002276 me/bohr**3

          total charge for spin  1=   28.000000
          interst. charge =       3.701398
          mt charge=             12.149301   12.149301

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701398
          mt charge=             12.149301   12.149301

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*

     ******* it=  8  is completed********



             it=        9

          total charge for spin  1=   28.000000
          interst. charge =       3.701398
          mt charge=             12.149301   12.149301

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701398
          mt charge=             12.149301   12.149301

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*


          p o t e n t i a l   g e n e r a t o r


          multipole moments for atom type=    1

  l   m                   original                      plane wave
  0   0          -0.52207E+00    0.00000E+00         0.77843E+00   -0.15859E-14
  1   0           0.16741E-02    0.00000E+00         0.14141E-02   -0.75547E-15
  1   1          -0.49368E-02    0.31543E-02        -0.40583E-02    0.26002E-02
  1  -1           0.49368E-02    0.31543E-02         0.40583E-02    0.26002E-02
  1   1          -0.49368E-02    0.31543E-02        -0.40583E-02    0.26002E-02
  1  -1           0.49368E-02    0.31543E-02         0.40583E-02    0.26002E-02
  2   0           0.52175E-03    0.00000E+00         0.49846E-03    0.58925E-16
  2   1           0.12340E-01   -0.18681E-01         0.11738E-01   -0.17742E-01
  2  -1          -0.12340E-01   -0.18681E-01        -0.11738E-01   -0.17742E-01
  2   2          -0.29016E-03    0.58660E-02        -0.27730E-03    0.56320E-02
  2  -2          -0.29016E-03   -0.58660E-02        -0.27730E-03   -0.56320E-02
  2   1           0.12340E-01   -0.18681E-01         0.11738E-01   -0.17742E-01
  2  -1          -0.12340E-01   -0.18681E-01        -0.11738E-01   -0.17742E-01
  2   2          -0.29016E-03    0.58660E-02        -0.27730E-03    0.56320E-02
  2  -2          -0.29016E-03   -0.58660E-02        -0.27730E-03   -0.56320E-02
  3   0          -0.84918E-02    0.00000E+00        -0.82449E-02   -0.11397E-14
  3   1          -0.10731E-01    0.71999E-02        -0.10352E-01    0.69516E-02
  3  -1           0.10731E-01    0.71999E-02         0.10352E-01    0.69516E-02
  3   2          -0.55395E-05    0.46950E+00        -0.47296E-05    0.46239E+00
  3  -2          -0.55395E-05   -0.46950E+00        -0.47296E-05   -0.46239E+00
  3   3           0.13836E-01    0.92642E-02         0.13349E-01    0.89480E-02
  3  -3          -0.13836E-01    0.92642E-02        -0.13349E-01    0.89480E-02
  3   1          -0.10731E-01    0.71999E-02        -0.10352E-01    0.69516E-02
  3  -1           0.10731E-01    0.71999E-02         0.10352E-01    0.69516E-02
  3   2          -0.55395E-05    0.46950E+00        -0.47296E-05    0.46239E+00
  3  -2          -0.55395E-05   -0.46950E+00        -0.47296E-05   -0.46239E+00
  3   3           0.13836E-01    0.92642E-02         0.13349E-01    0.89480E-02
  3  -3          -0.13836E-01    0.92642E-02        -0.13349E-01    0.89480E-02
  4   0          -0.27300E+00    0.00000E+00        -0.26903E+00    0.10379E-14
  4   1           0.34691E-03   -0.38021E-03         0.41309E-03   -0.48771E-03
  4  -1          -0.34691E-03   -0.38021E-03        -0.41309E-03   -0.48771E-03
  4   2          -0.31479E-03   -0.10922E-02        -0.30569E-03   -0.11518E-02
  4  -2          -0.31479E-03    0.10922E-02        -0.30569E-03    0.11518E-02
  4   3           0.83885E-03    0.96108E-03         0.10185E-02    0.12481E-02
  4  -3          -0.83885E-03    0.96108E-03        -0.10185E-02    0.12481E-02
  4   4          -0.16262E+00   -0.84860E-05        -0.16027E+00   -0.79777E-05
  4  -4          -0.16262E+00    0.84860E-05        -0.16027E+00    0.79777E-05
  4   1           0.34691E-03   -0.38021E-03         0.41309E-03   -0.48771E-03
  4  -1          -0.34691E-03   -0.38021E-03        -0.41309E-03   -0.48771E-03
  4   2          -0.31479E-03   -0.10922E-02        -0.30569E-03   -0.11518E-02
  4  -2          -0.31479E-03    0.10922E-02        -0.30569E-03    0.11518E-02
  4   3           0.83885E-03    0.96108E-03         0.10185E-02    0.12481E-02
  4  -3          -0.83885E-03    0.96108E-03        -0.10185E-02    0.12481E-02
  4   4          -0.16262E+00   -0.84860E-05        -0.16027E+00   -0.79777E-05
  4  -4          -0.16262E+00    0.84860E-05        -0.16027E+00    0.79777E-05
  5   0           0.53209E-02    0.00000E+00         0.52620E-02   -0.71112E-15
  5   1           0.43704E-02   -0.27130E-02         0.42111E-02   -0.26098E-02
  5  -1          -0.43704E-02   -0.27130E-02        -0.42111E-02   -0.26098E-02
  5   2           0.77358E-05    0.61474E-03         0.76026E-05    0.60091E-03
  5  -2           0.77358E-05   -0.61474E-03         0.76026E-05   -0.60091E-03
  5   3           0.17811E-01    0.11787E-01         0.17479E-01    0.11566E-01
  5  -3          -0.17811E-01    0.11787E-01        -0.17479E-01    0.11566E-01
  5   4          -0.46710E-02   -0.48275E-03        -0.45567E-02   -0.47175E-03
  5  -4          -0.46710E-02    0.48275E-03        -0.45567E-02    0.47175E-03
  5   5          -0.37253E-02    0.26166E-02        -0.37314E-02    0.26180E-02
  5  -5           0.37253E-02    0.26166E-02         0.37314E-02    0.26180E-02
  5   1           0.43704E-02   -0.27130E-02         0.42111E-02   -0.26098E-02
  5  -1          -0.43704E-02   -0.27130E-02        -0.42111E-02   -0.26098E-02
  5   2           0.77358E-05    0.61474E-03         0.76026E-05    0.60091E-03
  5  -2           0.77358E-05   -0.61474E-03         0.76026E-05   -0.60091E-03
  5   3           0.17811E-01    0.11787E-01         0.17479E-01    0.11566E-01
  5  -3          -0.17811E-01    0.11787E-01        -0.17479E-01    0.11566E-01
  5   4          -0.46710E-02   -0.48275E-03        -0.45567E-02   -0.47175E-03
  5  -4          -0.46710E-02    0.48275E-03        -0.45567E-02    0.47175E-03
  5   5          -0.37253E-02    0.26166E-02        -0.37314E-02    0.26180E-02
  5  -5           0.37253E-02    0.26166E-02         0.37314E-02    0.26180E-02
  6   0           0.10277E+00    0.00000E+00         0.10171E+00    0.12277E-14
  6   1          -0.64000E-02    0.97115E-02        -0.63448E-02    0.96295E-02
  6  -1           0.64000E-02    0.97115E-02         0.63448E-02    0.96295E-02
  6   2           0.11833E-03   -0.60757E-02         0.11725E-03   -0.60138E-02
  6  -2           0.11833E-03    0.60757E-02         0.11725E-03    0.60138E-02
  6   3          -0.42872E-02   -0.62240E-02        -0.42463E-02   -0.61653E-02
  6  -3           0.42872E-02   -0.62240E-02         0.42463E-02   -0.61653E-02
  6   4          -0.19303E+00   -0.54708E-05        -0.19105E+00   -0.55735E-05
  6  -4          -0.19303E+00    0.54708E-05        -0.19105E+00    0.55735E-05
  6   5          -0.97036E-02    0.14424E-01        -0.96144E-02    0.14295E-01
  6  -5           0.97036E-02    0.14424E-01         0.96144E-02    0.14295E-01
  6   6           0.17593E-03   -0.20764E-02         0.17434E-03   -0.20563E-02
  6  -6           0.17593E-03    0.20764E-02         0.17434E-03    0.20563E-02
  6   1          -0.64000E-02    0.97115E-02        -0.63448E-02    0.96295E-02
  6  -1           0.64000E-02    0.97115E-02         0.63448E-02    0.96295E-02
  6   2           0.11833E-03   -0.60757E-02         0.11725E-03   -0.60138E-02
  6  -2           0.11833E-03    0.60757E-02         0.11725E-03    0.60138E-02
  6   3          -0.42872E-02   -0.62240E-02        -0.42463E-02   -0.61653E-02
  6  -3           0.42872E-02   -0.62240E-02         0.42463E-02   -0.61653E-02
  6   4          -0.19303E+00   -0.54708E-05        -0.19105E+00   -0.55735E-05
  6  -4          -0.19303E+00    0.54708E-05        -0.19105E+00    0.55735E-05
  6   5          -0.97036E-02    0.14424E-01        -0.96144E-02    0.14295E-01
  6  -5           0.97036E-02    0.14424E-01         0.96144E-02    0.14295E-01
  6   6           0.17593E-03   -0.20764E-02         0.17434E-03   -0.20563E-02
  6  -6           0.17593E-03    0.20764E-02         0.17434E-03    0.20563E-02
  7   0           0.24614E-02    0.00000E+00         0.24450E-02    0.46460E-14
  7   1           0.51561E-02   -0.35447E-02         0.51421E-02   -0.35353E-02
  7  -1          -0.51561E-02   -0.35447E-02        -0.51421E-02   -0.35353E-02
  7   2           0.24168E-05   -0.12865E+00         0.24075E-05   -0.12870E+00
  7  -2           0.24168E-05    0.12865E+00         0.24075E-05    0.12870E+00
  7   3          -0.12527E-02   -0.85740E-03        -0.12370E-02   -0.84702E-03
  7  -3           0.12527E-02   -0.85740E-03         0.12370E-02   -0.84702E-03
  7   4           0.24419E-02   -0.36098E-03         0.24423E-02   -0.36187E-03
  7  -4           0.24419E-02    0.36098E-03         0.24423E-02    0.36187E-03
  7   5          -0.27234E-02    0.18628E-02        -0.27423E-02    0.18756E-02
  7  -5           0.27234E-02    0.18628E-02         0.27423E-02    0.18756E-02
  7   6           0.43013E-05   -0.11773E+00         0.42341E-05   -0.11777E+00
  7  -6           0.43013E-05    0.11773E+00         0.42341E-05    0.11777E+00
  7   7          -0.46969E-02   -0.32225E-02        -0.46740E-02   -0.32073E-02
  7  -7           0.46969E-02   -0.32225E-02         0.46740E-02   -0.32073E-02
  7   1           0.51561E-02   -0.35447E-02         0.51421E-02   -0.35353E-02
  7  -1          -0.51561E-02   -0.35447E-02        -0.51421E-02   -0.35353E-02
  7   2           0.24168E-05   -0.12865E+00         0.24075E-05   -0.12870E+00
  7  -2           0.24168E-05    0.12865E+00         0.24075E-05    0.12870E+00
  7   3          -0.12527E-02   -0.85740E-03        -0.12370E-02   -0.84702E-03
  7  -3           0.12527E-02   -0.85740E-03         0.12370E-02   -0.84702E-03
  7   4           0.24419E-02   -0.36098E-03         0.24423E-02   -0.36187E-03
  7  -4           0.24419E-02    0.36098E-03         0.24423E-02    0.36187E-03
  7   5          -0.27234E-02    0.18628E-02        -0.27423E-02    0.18756E-02
  7  -5           0.27234E-02    0.18628E-02         0.27423E-02    0.18756E-02
  7   6           0.43013E-05   -0.11773E+00         0.42341E-05   -0.11777E+00
  7  -6           0.43013E-05    0.11773E+00         0.42341E-05    0.11777E+00
  7   7          -0.46969E-02   -0.32225E-02        -0.46740E-02   -0.32073E-02
  7  -7           0.46969E-02   -0.32225E-02         0.46740E-02   -0.32073E-02
  8   0           0.52605E-01    0.00000E+00         0.56846E-01   -0.10926E-14
  8   1           0.58929E-03   -0.93324E-03         0.52714E-03   -0.83235E-03
  8  -1          -0.58929E-03   -0.93324E-03        -0.52714E-03   -0.83235E-03
  8   2           0.10436E-03    0.31304E-02         0.11458E-03    0.34692E-02
  8  -2           0.10436E-03   -0.31304E-02         0.11458E-03   -0.34692E-02
  8   3          -0.88213E-03   -0.12370E-02        -0.11232E-02   -0.16041E-02
  8  -3           0.88213E-03   -0.12370E-02         0.11232E-02   -0.16041E-02
  8   4           0.19338E-01    0.86326E-05         0.20929E-01    0.86784E-05
  8  -4           0.19338E-01   -0.86326E-05         0.20929E-01   -0.86784E-05
  8   5          -0.56750E-02    0.85110E-02        -0.61349E-02    0.91952E-02
  8  -5           0.56750E-02    0.85110E-02         0.61349E-02    0.91952E-02
  8   6           0.32624E-03   -0.14324E-02         0.33056E-03   -0.14879E-02
  8  -6           0.32624E-03    0.14324E-02         0.33056E-03    0.14879E-02
  8   7          -0.33955E-02   -0.50330E-02        -0.38727E-02   -0.57546E-02
  8  -7           0.33955E-02   -0.50330E-02         0.38727E-02   -0.57546E-02
  8   8           0.29771E-01   -0.13955E-05         0.32183E-01   -0.21281E-05
  8  -8           0.29771E-01    0.13955E-05         0.32183E-01    0.21281E-05
  8   1           0.58929E-03   -0.93324E-03         0.52714E-03   -0.83235E-03
  8  -1          -0.58929E-03   -0.93324E-03        -0.52714E-03   -0.83235E-03
  8   2           0.10436E-03    0.31304E-02         0.11458E-03    0.34692E-02
  8  -2           0.10436E-03   -0.31304E-02         0.11458E-03   -0.34692E-02
  8   3          -0.88213E-03   -0.12370E-02        -0.11232E-02   -0.16041E-02
  8  -3           0.88213E-03   -0.12370E-02         0.11232E-02   -0.16041E-02
  8   4           0.19338E-01    0.86326E-05         0.20929E-01    0.86784E-05
  8  -4           0.19338E-01   -0.86326E-05         0.20929E-01   -0.86784E-05
  8   5          -0.56750E-02    0.85110E-02        -0.61349E-02    0.91952E-02
  8  -5           0.56750E-02    0.85110E-02         0.61349E-02    0.91952E-02
  8   6           0.32624E-03   -0.14324E-02         0.33056E-03   -0.14879E-02
  8  -6           0.32624E-03    0.14324E-02         0.33056E-03    0.14879E-02
  8   7          -0.33955E-02   -0.50330E-02        -0.38727E-02   -0.57546E-02
  8  -7           0.33955E-02   -0.50330E-02         0.38727E-02   -0.57546E-02
  8   8           0.29771E-01   -0.13955E-05         0.32183E-01   -0.21281E-05
  8  -8           0.29771E-01    0.13955E-05         0.32183E-01    0.21281E-05

          multipole moments for atom type=    2

  l   m                   original                      plane wave
  0   0          -0.52207E+00    0.00000E+00         0.77843E+00   -0.12703E-14
  1   0          -0.16741E-02    0.00000E+00        -0.14141E-02    0.47045E-15
  1   1           0.49368E-02   -0.31543E-02         0.40583E-02   -0.26002E-02
  1  -1          -0.49368E-02   -0.31543E-02        -0.40583E-02   -0.26002E-02
  1   1           0.49368E-02   -0.31543E-02         0.40583E-02   -0.26002E-02
  1  -1          -0.49368E-02   -0.31543E-02        -0.40583E-02   -0.26002E-02
  2   0           0.52174E-03    0.00000E+00         0.49845E-03   -0.34327E-16
  2   1           0.12340E-01   -0.18681E-01         0.11738E-01   -0.17742E-01
  2  -1          -0.12340E-01   -0.18681E-01        -0.11738E-01   -0.17742E-01
  2   2          -0.29019E-03    0.58660E-02        -0.27732E-03    0.56320E-02
  2  -2          -0.29019E-03   -0.58660E-02        -0.27732E-03   -0.56320E-02
  2   1           0.12340E-01   -0.18681E-01         0.11738E-01   -0.17742E-01
  2  -1          -0.12340E-01   -0.18681E-01        -0.11738E-01   -0.17742E-01
  2   2          -0.29019E-03    0.58660E-02        -0.27732E-03    0.56320E-02
  2  -2          -0.29019E-03   -0.58660E-02        -0.27732E-03   -0.56320E-02
  3   0           0.84918E-02    0.00000E+00         0.82449E-02   -0.31196E-15
  3   1           0.10731E-01   -0.71999E-02         0.10352E-01   -0.69516E-02
  3  -1          -0.10731E-01   -0.71999E-02        -0.10352E-01   -0.69516E-02
  3   2           0.55871E-05   -0.46950E+00         0.47795E-05   -0.46239E+00
  3  -2           0.55871E-05    0.46950E+00         0.47795E-05    0.46239E+00
  3   3          -0.13836E-01   -0.92642E-02        -0.13349E-01   -0.89481E-02
  3  -3           0.13836E-01   -0.92642E-02         0.13349E-01   -0.89481E-02
  3   1           0.10731E-01   -0.71999E-02         0.10352E-01   -0.69516E-02
  3  -1          -0.10731E-01   -0.71999E-02        -0.10352E-01   -0.69516E-02
  3   2           0.55871E-05   -0.46950E+00         0.47795E-05   -0.46239E+00
  3  -2           0.55871E-05    0.46950E+00         0.47795E-05    0.46239E+00
  3   3          -0.13836E-01   -0.92642E-02        -0.13349E-01   -0.89481E-02
  3  -3           0.13836E-01   -0.92642E-02         0.13349E-01   -0.89481E-02
  4   0          -0.27300E+00    0.00000E+00        -0.26903E+00    0.25176E-14
  4   1           0.34692E-03   -0.38013E-03         0.41310E-03   -0.48765E-03
  4  -1          -0.34692E-03   -0.38013E-03        -0.41310E-03   -0.48765E-03
  4   2          -0.31479E-03   -0.10922E-02        -0.30568E-03   -0.11519E-02
  4  -2          -0.31479E-03    0.10922E-02        -0.30568E-03    0.11519E-02
  4   3           0.83884E-03    0.96158E-03         0.10185E-02    0.12486E-02
  4  -3          -0.83884E-03    0.96158E-03        -0.10185E-02    0.12486E-02
  4   4          -0.16262E+00   -0.85561E-05        -0.16027E+00   -0.80500E-05
  4  -4          -0.16262E+00    0.85561E-05        -0.16027E+00    0.80500E-05
  4   1           0.34692E-03   -0.38013E-03         0.41310E-03   -0.48765E-03
  4  -1          -0.34692E-03   -0.38013E-03        -0.41310E-03   -0.48765E-03
  4   2          -0.31479E-03   -0.10922E-02        -0.30568E-03   -0.11519E-02
  4  -2          -0.31479E-03    0.10922E-02        -0.30568E-03    0.11519E-02
  4   3           0.83884E-03    0.96158E-03         0.10185E-02    0.12486E-02
  4  -3          -0.83884E-03    0.96158E-03        -0.10185E-02    0.12486E-02
  4   4          -0.16262E+00   -0.85561E-05        -0.16027E+00   -0.80500E-05
  4  -4          -0.16262E+00    0.85561E-05        -0.16027E+00    0.80500E-05
  5   0          -0.53209E-02    0.00000E+00        -0.52621E-02   -0.22651E-14
  5   1          -0.43705E-02    0.27130E-02        -0.42111E-02    0.26097E-02
  5  -1           0.43705E-02    0.27130E-02         0.42111E-02    0.26097E-02
  5   2          -0.77843E-05   -0.61466E-03        -0.76514E-05   -0.60082E-03
  5  -2          -0.77843E-05    0.61466E-03        -0.76514E-05    0.60082E-03
  5   3          -0.17811E-01   -0.11787E-01        -0.17479E-01   -0.11566E-01
  5  -3           0.17811E-01   -0.11787E-01         0.17479E-01   -0.11566E-01
  5   4           0.46713E-02    0.48327E-03         0.45570E-02    0.47230E-03
  5  -4           0.46713E-02   -0.48327E-03         0.45570E-02   -0.47230E-03
  5   5           0.37234E-02   -0.26166E-02         0.37293E-02   -0.26180E-02
  5  -5          -0.37234E-02   -0.26166E-02        -0.37293E-02   -0.26180E-02
  5   1          -0.43705E-02    0.27130E-02        -0.42111E-02    0.26097E-02
  5  -1           0.43705E-02    0.27130E-02         0.42111E-02    0.26097E-02
  5   2          -0.77843E-05   -0.61466E-03        -0.76514E-05   -0.60082E-03
  5  -2          -0.77843E-05    0.61466E-03        -0.76514E-05    0.60082E-03
  5   3          -0.17811E-01   -0.11787E-01        -0.17479E-01   -0.11566E-01
  5  -3           0.17811E-01   -0.11787E-01         0.17479E-01   -0.11566E-01
  5   4           0.46713E-02    0.48327E-03         0.45570E-02    0.47230E-03
  5  -4           0.46713E-02   -0.48327E-03         0.45570E-02   -0.47230E-03
  5   5           0.37234E-02   -0.26166E-02         0.37293E-02   -0.26180E-02
  5  -5          -0.37234E-02   -0.26166E-02        -0.37293E-02   -0.26180E-02
  6   0           0.10277E+00    0.00000E+00         0.10171E+00    0.23176E-14
  6   1          -0.64000E-02    0.97116E-02        -0.63448E-02    0.96296E-02
  6  -1           0.64000E-02    0.97116E-02         0.63448E-02    0.96296E-02
  6   2           0.11850E-03   -0.60757E-02         0.11742E-03   -0.60138E-02
  6  -2           0.11850E-03    0.60757E-02         0.11742E-03    0.60138E-02
  6   3          -0.42872E-02   -0.62247E-02        -0.42464E-02   -0.61660E-02
  6  -3           0.42872E-02   -0.62247E-02         0.42464E-02   -0.61660E-02
  6   4          -0.19303E+00   -0.55813E-05        -0.19105E+00   -0.56871E-05
  6  -4          -0.19303E+00    0.55813E-05        -0.19105E+00    0.56871E-05
  6   5          -0.97038E-02    0.14425E-01        -0.96146E-02    0.14295E-01
  6  -5           0.97038E-02    0.14425E-01         0.96146E-02    0.14295E-01
  6   6           0.17539E-03   -0.20760E-02         0.17377E-03   -0.20559E-02
  6  -6           0.17539E-03    0.20760E-02         0.17377E-03    0.20559E-02
  6   1          -0.64000E-02    0.97116E-02        -0.63448E-02    0.96296E-02
  6  -1           0.64000E-02    0.97116E-02         0.63448E-02    0.96296E-02
  6   2           0.11850E-03   -0.60757E-02         0.11742E-03   -0.60138E-02
  6  -2           0.11850E-03    0.60757E-02         0.11742E-03    0.60138E-02
  6   3          -0.42872E-02   -0.62247E-02        -0.42464E-02   -0.61660E-02
  6  -3           0.42872E-02   -0.62247E-02         0.42464E-02   -0.61660E-02
  6   4          -0.19303E+00   -0.55813E-05        -0.19105E+00   -0.56871E-05
  6  -4          -0.19303E+00    0.55813E-05        -0.19105E+00    0.56871E-05
  6   5          -0.97038E-02    0.14425E-01        -0.96146E-02    0.14295E-01
  6  -5           0.97038E-02    0.14425E-01         0.96146E-02    0.14295E-01
  6   6           0.17539E-03   -0.20760E-02         0.17377E-03   -0.20559E-02
  6  -6           0.17539E-03    0.20760E-02         0.17377E-03    0.20559E-02
  7   0          -0.24612E-02    0.00000E+00        -0.24448E-02   -0.40487E-15
  7   1          -0.51565E-02    0.35447E-02        -0.51425E-02    0.35354E-02
  7  -1           0.51565E-02    0.35447E-02         0.51425E-02    0.35354E-02
  7   2          -0.24051E-05    0.12865E+00        -0.23949E-05    0.12870E+00
  7  -2          -0.24051E-05   -0.12865E+00        -0.23949E-05   -0.12870E+00
  7   3           0.12535E-02    0.85745E-03         0.12377E-02    0.84706E-03
  7  -3          -0.12535E-02    0.85745E-03        -0.12377E-02    0.84706E-03
  7   4          -0.24420E-02    0.36089E-03        -0.24424E-02    0.36178E-03
  7  -4          -0.24420E-02   -0.36089E-03        -0.24424E-02   -0.36178E-03
  7   5           0.27253E-02   -0.18628E-02         0.27442E-02   -0.18756E-02
  7  -5          -0.27253E-02   -0.18628E-02        -0.27442E-02   -0.18756E-02
  7   6          -0.43717E-05    0.11773E+00        -0.43039E-05    0.11777E+00
  7  -6          -0.43717E-05   -0.11773E+00        -0.43039E-05   -0.11777E+00
  7   7           0.46969E-02    0.32223E-02         0.46740E-02    0.32071E-02
  7  -7          -0.46969E-02    0.32223E-02        -0.46740E-02    0.32071E-02
  7   1          -0.51565E-02    0.35447E-02        -0.51425E-02    0.35354E-02
  7  -1           0.51565E-02    0.35447E-02         0.51425E-02    0.35354E-02
  7   2          -0.24051E-05    0.12865E+00        -0.23949E-05    0.12870E+00
  7  -2          -0.24051E-05   -0.12865E+00        -0.23949E-05   -0.12870E+00
  7   3           0.12535E-02    0.85745E-03         0.12377E-02    0.84706E-03
  7  -3          -0.12535E-02    0.85745E-03        -0.12377E-02    0.84706E-03
  7   4          -0.24420E-02    0.36089E-03        -0.24424E-02    0.36178E-03
  7  -4          -0.24420E-02   -0.36089E-03        -0.24424E-02   -0.36178E-03
  7   5           0.27253E-02   -0.18628E-02         0.27442E-02   -0.18756E-02
  7  -5          -0.27253E-02   -0.18628E-02        -0.27442E-02   -0.18756E-02
  7   6          -0.43717E-05    0.11773E+00        -0.43039E-05    0.11777E+00
  7  -6          -0.43717E-05   -0.11773E+00        -0.43039E-05   -0.11777E+00
  7   7           0.46969E-02    0.32223E-02         0.46740E-02    0.32071E-02
  7  -7          -0.46969E-02    0.32223E-02        -0.46740E-02    0.32071E-02
  8   0           0.52605E-01    0.00000E+00         0.56846E-01   -0.99650E-14
  8   1           0.58927E-03   -0.93381E-03         0.52712E-03   -0.83295E-03
  8  -1          -0.58927E-03   -0.93381E-03        -0.52712E-03   -0.83295E-03
  8   2           0.10441E-03    0.31307E-02         0.11468E-03    0.34695E-02
  8  -2           0.10441E-03   -0.31307E-02         0.11468E-03   -0.34695E-02
  8   3          -0.88214E-03   -0.12374E-02        -0.11232E-02   -0.16046E-02
  8  -3           0.88214E-03   -0.12374E-02         0.11232E-02   -0.16046E-02
  8   4           0.19338E-01    0.87816E-05         0.20929E-01    0.88430E-05
  8  -4           0.19338E-01   -0.87816E-05         0.20929E-01   -0.88430E-05
  8   5          -0.56751E-02    0.85103E-02        -0.61349E-02    0.91944E-02
  8  -5           0.56751E-02    0.85103E-02         0.61349E-02    0.91944E-02
  8   6           0.32660E-03   -0.14325E-02         0.33091E-03   -0.14880E-02
  8  -6           0.32660E-03    0.14325E-02         0.33091E-03    0.14880E-02
  8   7          -0.33955E-02   -0.50317E-02        -0.38727E-02   -0.57532E-02
  8  -7           0.33955E-02   -0.50317E-02         0.38727E-02   -0.57532E-02
  8   8           0.29771E-01   -0.14612E-05         0.32183E-01   -0.21960E-05
  8  -8           0.29771E-01    0.14612E-05         0.32183E-01    0.21960E-05
  8   1           0.58927E-03   -0.93381E-03         0.52712E-03   -0.83295E-03
  8  -1          -0.58927E-03   -0.93381E-03        -0.52712E-03   -0.83295E-03
  8   2           0.10441E-03    0.31307E-02         0.11468E-03    0.34695E-02
  8  -2           0.10441E-03   -0.31307E-02         0.11468E-03   -0.34695E-02
  8   3          -0.88214E-03   -0.12374E-02        -0.11232E-02   -0.16046E-02
  8  -3           0.88214E-03   -0.12374E-02         0.11232E-02   -0.16046E-02
  8   4           0.19338E-01    0.87816E-05         0.20929E-01    0.88430E-05
  8  -4           0.19338E-01   -0.87816E-05         0.20929E-01   -0.88430E-05
  8   5          -0.56751E-02    0.85103E-02        -0.61349E-02    0.91944E-02
  8  -5           0.56751E-02    0.85103E-02         0.61349E-02    0.91944E-02
  8   6           0.32660E-03   -0.14325E-02         0.33091E-03   -0.14880E-02
  8  -6           0.32660E-03    0.14325E-02         0.33091E-03    0.14880E-02
  8   7          -0.33955E-02   -0.50317E-02        -0.38727E-02   -0.57532E-02
  8  -7           0.33955E-02   -0.50317E-02         0.38727E-02   -0.57532E-02
  8   8           0.29771E-01   -0.14612E-05         0.32183E-01   -0.21960E-05
  8  -8           0.29771E-01    0.14612E-05         0.32183E-01    0.21960E-05

          integral of pseudo charge density inside the slab=        0.000000   0.000000

     coulomb potential in the interstitial region:

          density-coulomb potential integrals


          interstitial :                       0.7808182566

          muffin tin spheres :              -845.1842974774

          total density-coulomb potenti     -844.4034792208
 wrtdop title:alpha Si                                                                ordered*

     interstitial potential average (vbar) = -0.027913

 999idsprs in starting of nmtxad= 0

          density-effective potential integrals for spin  1


          interstitial :                      -0.4749233928

          muffin tin spheres :              -897.8385931826

          total density-effective poten     -898.3135165754

          charge density-energy density integrals


          interstitial :                      -0.9796157659

          muffin tin spheres :               -40.7647917825

          total charge density-energy d      -41.7444075484
 vgen: pottot deleted
 wrtdop title:alpha Si                                                                ordered*
 IT=   9  ISEC1=  99 standard diagonalization
  Atom  1 3s branch from -4.72 to  1.07 htr. ; e_l = -0.1341
  Atom  1 3p branch from -3.11 to  1.55 htr. ; e_l =  0.0500
  Atom  1 3d branch from -9.99 to  1.95 htr. ; e_l =  0.2438
  Atom  1 4f branch from -9.99 to  4.11 htr. ; e_l =  0.4116
  Atom  2 3s branch from -4.72 to  1.07 htr. ; e_l = -0.1341
  Atom  2 3p branch from -3.11 to  1.55 htr. ; e_l =  0.0500
  Atom  2 3d branch from -9.99 to  1.95 htr. ; e_l =  0.2438
  Atom  2 4f branch from -9.99 to  4.11 htr. ; e_l =  0.4116


 wavefunction parameters for atom type  1:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.13412        4.7800205E-01  -2.4465891E-01    2       -3.1233218E-01  -7.4530376E-01    2   1.0766918E-01   4.3267158E-01
  1   0.04997       -5.5348329E-01   9.9425047E-02    1        2.6599853E-01   7.3396926E-01    2   7.9523649E-02   4.3268664E-01
  2   0.24384        6.4438867E-01   1.6343536E-01    0       -2.3290128E-01  -7.3053495E-01    1   6.5180678E-02   4.3268414E-01
  3   0.41162        8.3799880E-01   7.5544411E-01    0       -1.2158539E-01  -6.2593132E-01    1   1.3122376E-02   4.3267873E-01
  4   0.41162        9.7736286E-01   1.4626777E+00    0       -8.2132762E-02  -5.6560566E-01    1   4.9167192E-03   4.3266820E-01
  5   0.41162        1.0889886E+00   2.2153807E+00    0       -6.1661025E-02  -5.2274021E-01    1   2.3795550E-03   4.3265549E-01
  6   0.41162        1.1859738E+00   3.0206212E+00    0       -4.8925293E-02  -4.8940807E-01    1   1.3189820E-03   4.3264038E-01
  7   0.41162        1.2734318E+00   3.8786641E+00    0       -4.0219956E-02  -4.6223324E-01    1   7.9808874E-04   4.3262283E-01
  8   0.41162        1.3539863E+00   4.7881035E+00    0       -3.3904820E-02  -4.3940075E-01    1   5.1413511E-04   4.3260278E-01


 wavefunction parameters for atom type  2:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.13412        4.7800205E-01  -2.4465892E-01    2       -3.1233218E-01  -7.4530376E-01    2   1.0766918E-01   4.3267158E-01
  1   0.04997       -5.5348329E-01   9.9425056E-02    1        2.6599854E-01   7.3396926E-01    2   7.9523650E-02   4.3268664E-01
  2   0.24384        6.4438867E-01   1.6343535E-01    0       -2.3290128E-01  -7.3053495E-01    1   6.5180680E-02   4.3268414E-01
  3   0.41162        8.3799880E-01   7.5544410E-01    0       -1.2158539E-01  -6.2593132E-01    1   1.3122376E-02   4.3267873E-01
  4   0.41162        9.7736286E-01   1.4626777E+00    0       -8.2132763E-02  -5.6560566E-01    1   4.9167193E-03   4.3266820E-01
  5   0.41162        1.0889886E+00   2.2153807E+00    0       -6.1661026E-02  -5.2274022E-01    1   2.3795550E-03   4.3265549E-01
  6   0.41162        1.1859738E+00   3.0206212E+00    0       -4.8925293E-02  -4.8940807E-01    1   1.3189820E-03   4.3264038E-01
  7   0.41162        1.2734318E+00   3.8786640E+00    0       -4.0219956E-02  -4.6223324E-01    1   7.9808874E-04   4.3262283E-01
  8   0.41162        1.3539863E+00   4.7881035E+00    0       -3.3904820E-02  -4.3940075E-01    1   5.1413512E-04   4.3260278E-01


 k=(    0.444444    0.444444    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.153304   -0.031313    0.159281    0.163857    0.258565
         0.324559    0.329855    0.487730


 k=(    0.333333    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155830   -0.016657    0.134378    0.147109    0.282744
         0.327013    0.355408    0.456824


 k=(    0.222222    0.444444    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149628   -0.001565    0.095552    0.126821    0.263592
         0.363085    0.395626    0.410674


 k=(    0.111111    0.444444    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133905   -0.013621    0.094237    0.110431    0.240031
         0.284570    0.479206    0.481181


 k=(    0.000000    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.109068   -0.046499    0.102253    0.107576    0.227986
         0.244436    0.544451    0.545242


 k=(   -0.111111    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.085619   -0.069920    0.085711    0.103561    0.233495
         0.270543    0.542622    0.551596


 k=(    0.222222    0.555556    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107794   -0.042890    0.061507    0.114155    0.246314
         0.342976    0.468477    0.471674


 k=(    0.333333    0.555556    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128260   -0.032844    0.076649    0.132166    0.268722
         0.386817    0.397726    0.434813


 k=(    0.555556    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143597   -0.035798    0.125139    0.151833    0.282814
         0.327768    0.346511    0.501209


 k=(    0.444444    0.333333    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155872   -0.016465    0.132448    0.148907    0.283219
         0.327998    0.353704    0.455725


 k=(    0.333333    0.333333    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165163   -0.000142    0.121265    0.166936    0.290165
         0.336901    0.339223    0.476489


 k=(    0.222222    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164652    0.017643    0.096372    0.146811    0.303982
         0.336226    0.384307    0.403128


 k=(    0.111111    0.333333    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153800    0.012604    0.094934    0.118981    0.273253
         0.310785    0.402701    0.466453


 k=(    0.000000    0.333333    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132920   -0.016383    0.090584    0.115970    0.245242
         0.279220    0.479937    0.483687


 k=(   -0.111111    0.333333    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104178   -0.048534    0.083689    0.094275    0.265622
         0.279948    0.470613    0.535946


 k=(   -0.222222    0.333333    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.090047   -0.059340    0.061313    0.092588    0.277024
         0.343682    0.448992    0.458063


 k=(    0.666667    0.333333    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114394   -0.035914    0.057299    0.109567    0.294933
         0.369534    0.431839    0.447708


 k=(    0.555556    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138159   -0.025735    0.090652    0.132728    0.308899
         0.319077    0.402784    0.446667


 k=(    0.444444    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149687   -0.001073    0.093735    0.128115    0.264874
         0.361770    0.395632    0.409404


 k=(    0.333333    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164660    0.017856    0.095568    0.147496    0.304329
         0.337063    0.383663    0.401175


 k=(    0.222222    0.222222    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169453    0.026818    0.085194    0.166292    0.303672
         0.364712    0.374761    0.419036


 k=(    0.111111    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163638    0.011799    0.100876    0.146643    0.310860
         0.335949    0.378007    0.407297


 k=(    0.000000    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147524   -0.009140    0.094878    0.132963    0.270610
         0.356032    0.397550    0.412240


 k=(   -0.111111    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122460   -0.030813    0.069160    0.113210    0.291007
         0.346641    0.390262    0.479075


 k=(   -0.222222    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.093447   -0.055042    0.059228    0.085549    0.343692
         0.355299    0.374616    0.436190


 k=(    0.666667    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.097572   -0.048809    0.061505    0.080892    0.346054
         0.350023    0.373339    0.440535


 k=(    0.555556    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125961   -0.022181    0.070700    0.105865    0.286337
         0.351650    0.385243    0.480607


 k=(    0.444444    0.111111    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133937   -0.013429    0.092943    0.111486    0.241143
         0.283557    0.478301    0.480850


 k=(    0.333333    0.111111    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153776    0.012419    0.095175    0.118958    0.273426
         0.310508    0.402746    0.466269


 k=(    0.222222    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163610    0.011488    0.101788    0.146019    0.310458
         0.335188    0.378623    0.409044


 k=(    0.111111    0.111111    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163034   -0.008678    0.128750    0.164582    0.292681
         0.338545    0.348895    0.472740


 k=(    0.000000    0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152493   -0.026503    0.133369    0.154484    0.287807
         0.333126    0.355774    0.449977


 k=(   -0.111111    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133353   -0.037395    0.089758    0.141325    0.310564
         0.328694    0.400385    0.440699


 k=(   -0.222222    0.111111    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108159   -0.047621    0.056372    0.116476    0.300695
         0.373489    0.424543    0.444448


 k=(    0.666667    0.111111    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.083676   -0.066879    0.057400    0.097665    0.282980
         0.337823    0.447218    0.458961


 k=(    0.555556    0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105975   -0.045322    0.084636    0.091490    0.267515
         0.278594    0.465122    0.535429


 k=(    0.444444    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.108922   -0.046798    0.103213    0.106852    0.228423
         0.243902    0.544577    0.545081


 k=(    0.333333    0.000000    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132783   -0.016983    0.092047    0.115184    0.244222
         0.279964    0.479867    0.485000


 k=(    0.222222    0.000000    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147416   -0.009770    0.096540    0.132020    0.269243
         0.357113    0.397337    0.413938


 k=(    0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152433   -0.026728    0.134651    0.153419    0.287333
         0.331556    0.357987    0.451102


 k=(    0.000000    0.000000    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.148666   -0.042597    0.160037    0.169109    0.262127
         0.326396    0.337150    0.491912


 k=(   -0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137998   -0.048195    0.125638    0.158267    0.287046
         0.332357    0.348722    0.505673


 k=(    0.222222    0.000000    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122529   -0.045158    0.077890    0.137654    0.274749
         0.388962    0.399591    0.428446


 k=(    0.333333    0.000000    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.102701   -0.051297    0.059849    0.119096    0.252241
         0.337252    0.468589    0.474190


 k=(    0.555556    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.078499   -0.077387    0.081238    0.108227    0.239488
         0.264763    0.538542    0.551390


 k=(    0.444444   -0.111111    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.084133   -0.071595    0.084935    0.104535    0.234712
         0.269311    0.541723    0.551707


 k=(    0.333333   -0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103623   -0.049531    0.084186    0.094357    0.265829
         0.279562    0.471744    0.536084


 k=(    0.222222   -0.111111    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122153   -0.031701    0.069939    0.113204    0.289541
         0.347946    0.391330    0.479252


 k=(    0.111111   -0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133187   -0.037776    0.089715    0.141714    0.309819
         0.329356    0.400189    0.441861


 k=(    0.000000   -0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137939   -0.048261    0.124454    0.159631    0.287501
         0.333918    0.346249    0.505526


 k=(    0.111111    0.111111    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.138177   -0.048000    0.130443    0.152800    0.285848
         0.330269    0.353432    0.506306


 k=(    0.222222    0.111111    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133873   -0.036810    0.095345    0.134717    0.313932
         0.321051    0.407396    0.441270


 k=(    0.333333    0.111111    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123266   -0.029397    0.072682    0.108543    0.290713
         0.347824    0.386342    0.483767


 k=(    0.444444    0.111111    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105190   -0.046776    0.084788    0.092200    0.266937
         0.278918    0.467473    0.535835


 k=(    0.555556    0.222222    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107528   -0.043164    0.060380    0.115251    0.247595
         0.341727    0.466874    0.471854


 k=(    0.333333   -0.222222    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.088853   -0.060855    0.060591    0.093642    0.278242
         0.342427    0.448214    0.458723


 k=(    0.222222   -0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.092379   -0.056581    0.059035    0.086271    0.344291
         0.355065    0.375062    0.435334


 k=(    0.111111   -0.222222    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.107786   -0.048157    0.055872    0.117131    0.302173
         0.371744    0.424101    0.444546


 k=(    0.000000    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122442   -0.045125    0.076674    0.138723    0.276206
         0.388433    0.397611    0.428180


 k=(    0.111111    0.222222    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133868   -0.036675    0.093946    0.136085    0.313686
         0.322491    0.405696    0.440263


 k=(    0.222222    0.222222    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139180   -0.021662    0.074166    0.147326    0.284858
         0.388272    0.391042    0.464087


 k=(    0.333333    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136475   -0.012592    0.062899    0.127504    0.315573
         0.353290    0.384277    0.457774


 k=(    0.444444    0.222222    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125428   -0.023463    0.069386    0.108310    0.285790
         0.351626    0.387911    0.477857


 k=(    0.555556    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128140   -0.032877    0.075254    0.133537    0.270045
         0.385910    0.396229    0.434491


 k=(    0.333333    0.666667    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114080   -0.036436    0.056682    0.110413    0.296317
         0.367898    0.431038    0.448179


 k=(    0.222222    0.666667    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.096855   -0.049935    0.060960    0.081892    0.344968
         0.351734    0.373587    0.439626


 k=(    0.111111    0.666667    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.082114   -0.068575    0.056651    0.098507    0.284282
         0.336604    0.447301    0.458688


 k=(    0.000000    0.333333    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.102623   -0.051170    0.058659    0.119940    0.253635
         0.336070    0.467502    0.473738


 k=(    0.111111    0.333333    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123293   -0.029082    0.071156    0.109757    0.291951
         0.346521    0.386523    0.482332


 k=(    0.222222    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136494   -0.012502    0.062830    0.127475    0.315693
         0.352912    0.384590    0.458024


 k=(    0.333333    0.333333    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141175   -0.014473    0.068517    0.148188    0.285061
         0.382615    0.384119    0.470134


 k=(    0.444444    0.333333    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137842   -0.026227    0.087720    0.136407    0.306849
         0.323320    0.398943    0.446840


 k=(    0.444444    0.555556    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143544   -0.035858    0.123513    0.153693    0.283253
         0.328597    0.344741    0.501133


 k=(    0.333333    0.555556    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138034   -0.026060    0.090492    0.133209    0.307747
         0.320163    0.402650    0.447764


 k=(    0.222222    0.555556    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125763   -0.022849    0.071393    0.105782    0.284910
         0.353143    0.386181    0.480724


 k=(    0.111111    0.555556    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105727   -0.045753    0.084031    0.092326    0.266668
         0.279389    0.466242    0.535461


 k=(    0.000000    0.555556    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.079487   -0.076298    0.080279    0.108966    0.240810
         0.263591    0.537576    0.551214


 k=(    0.111111    0.444444    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105335   -0.046479    0.084172    0.092613    0.266402
         0.279534    0.467418    0.535644


 k=(    0.222222    0.444444    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125497   -0.023487    0.070712    0.107020    0.284655
         0.353118    0.387521    0.479312


 k=(    0.333333    0.444444    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137875   -0.026307    0.089020    0.135044    0.306812
         0.322217    0.400696    0.447860


 k=(    0.444444    0.444444    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143490   -0.035919    0.122121    0.155298    0.283715
         0.329974    0.342413    0.501092


 k=(    0.444444    0.444444    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155916   -0.016261    0.130887    0.150302    0.283705
         0.329340    0.351632    0.454661


 k=(    0.333333    0.444444    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165265    0.000170    0.122421    0.165137    0.289809
         0.335648    0.341484    0.475865


 k=(    0.222222    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164811    0.018325    0.097287    0.144967    0.304790
         0.334385    0.384407    0.404703


 k=(    0.111111    0.444444    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154023    0.013855    0.094591    0.118015    0.273624
         0.310790    0.401349    0.466681


 k=(    0.000000    0.444444    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133223   -0.015328    0.089591    0.116031    0.245456
         0.279235    0.479019    0.482438


 k=(   -0.111111    0.444444    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104574   -0.047828    0.083575    0.093995    0.265883
         0.279788    0.469500    0.535921


 k=(   -0.222222    0.444444    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.089998   -0.059411    0.061344    0.092587    0.277018
         0.343660    0.449378    0.457763


 k=(    0.666667    0.444444    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114272   -0.036066    0.056766    0.110223    0.294830
         0.370461    0.432290    0.446743


 k=(    0.555556    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138131   -0.025638    0.089258    0.134151    0.308786
         0.320366    0.400930    0.445743


 k=(    0.444444    0.333333    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165366    0.000467    0.123775    0.163135    0.289488
         0.335396    0.342725    0.475611


 k=(    0.333333    0.333333    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.179977    0.017473    0.165404    0.170001    0.265748
         0.329458    0.334638    0.490727


 k=(    0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184151    0.039411    0.149026    0.150864    0.287467
         0.330597    0.364842    0.405009


 k=(    0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177368    0.049555    0.122901    0.130315    0.258617
         0.324877    0.404610    0.417068


 k=(    0.000000    0.333333    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159825    0.022385    0.115958    0.121784    0.233452
         0.280579    0.469558    0.469754


 k=(   -0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133023   -0.016639    0.097131    0.110256    0.239459
         0.284358    0.480972    0.485813


 k=(   -0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.105529   -0.047384    0.064102    0.113968    0.246087
         0.342946    0.472578    0.473815


 k=(    0.666667    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.113813   -0.036146    0.048680    0.126498    0.260422
         0.422317    0.445153    0.458693


 k=(    0.555556    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141815   -0.012899    0.070015    0.145304    0.282322
         0.384252    0.386860    0.469599


 k=(    0.444444    0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164977    0.019199    0.097505    0.143697    0.306089
         0.333255    0.383806    0.404388


 k=(    0.333333    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184195    0.039791    0.147076    0.152332    0.287859
         0.331801    0.363306    0.403733


 k=(    0.222222    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192907    0.061187    0.130087    0.182504    0.301648
         0.331798    0.343405    0.428929


 k=(    0.111111    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190447    0.068420    0.120673    0.162130    0.293305
         0.343510    0.367184    0.388872


 k=(    0.000000    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176869    0.044997    0.121095    0.136645    0.261633
         0.321061    0.406655    0.419187


 k=(   -0.111111    0.222222    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153137    0.009221    0.094895    0.122613    0.272147
         0.310637    0.406575    0.466385


 k=(   -0.222222    0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123482   -0.029117    0.073777    0.107932    0.284129
         0.353713    0.389910    0.482791


 k=(    0.666667    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.112115   -0.040983    0.059623    0.110123    0.294589
         0.374896    0.427886    0.446654


 k=(    0.555556    0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137483   -0.009280    0.062807    0.124902    0.312860
         0.354237    0.384550    0.458696


 k=(    0.444444    0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154221    0.014917    0.094648    0.116861    0.274193
         0.310523    0.400034    0.466790


 k=(    0.333333    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177412    0.050131    0.120931    0.131605    0.259400
         0.324327    0.404254    0.416148


 k=(    0.222222    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190442    0.068282    0.120800    0.162201    0.293348
         0.343580    0.366973    0.388679


 k=(    0.111111    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192350    0.054781    0.136616    0.180942    0.304754
         0.338617    0.343292    0.424752


 k=(    0.000000    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183045    0.031736    0.148575    0.157964    0.292611
         0.335448    0.365874    0.398106


 k=(   -0.111111    0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163153    0.010018    0.097823    0.152253    0.307957
         0.341550    0.378009    0.402912


 k=(   -0.222222    0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134978   -0.017003    0.062451    0.131447    0.319231
         0.351874    0.384153    0.457541


 k=(   -0.333333    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110423   -0.043549    0.056486    0.114222    0.301340
         0.366947    0.425515    0.447122


 k=(    0.555556    0.111111    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.124683   -0.025435    0.070228    0.108217    0.291115
         0.347226    0.384746    0.481629


 k=(    0.444444    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133388   -0.014891    0.090075    0.115303    0.244640
         0.280016    0.477975    0.482572


 k=(    0.333333    0.000000    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159800    0.022157    0.117015    0.121018    0.233594
         0.280328    0.469399    0.469752


 k=(    0.222222    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176801    0.044128    0.122991    0.135846    0.261007
         0.321224    0.406687    0.420366


 k=(    0.111111    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182990    0.031305    0.149431    0.157727    0.292255
         0.333779    0.367718    0.399360


 k=(    0.000000    0.000000    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178138    0.008581    0.166605    0.175708    0.269615
         0.331299    0.341710    0.491524


 k=(   -0.111111    0.000000    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162706   -0.009565    0.124799    0.170453    0.293503
         0.337824    0.346786    0.472816


 k=(   -0.222222    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138159   -0.023847    0.071662    0.151735    0.288521
         0.384191    0.389036    0.464678


 k=(   -0.333333    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.109319   -0.044140    0.046697    0.132208    0.266707
         0.415415    0.438899    0.463353


 k=(    0.555556    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104503   -0.047983    0.058104    0.119228    0.252394
         0.337195    0.465604    0.473184


 k=(    0.444444   -0.111111    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104423   -0.048130    0.084071    0.093700    0.266381
         0.279209    0.469560    0.536116


 k=(    0.333333   -0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132752   -0.017479    0.096809    0.111253    0.240366
         0.283309    0.481152    0.486551


 k=(    0.222222   -0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152887    0.007912    0.095362    0.123537    0.271969
         0.310350    0.407893    0.466300


 k=(    0.111111   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162959    0.009076    0.097888    0.153325    0.306869
         0.342375    0.378590    0.403276


 k=(    0.000000   -0.111111    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162593   -0.009890    0.123841    0.172041    0.293865
         0.337982    0.345630    0.473855


 k=(   -0.111111   -0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152270   -0.027329    0.140445    0.148093    0.286012
         0.328655    0.362705    0.454667


 k=(   -0.222222   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133409   -0.037839    0.094784    0.136234    0.310362
         0.324310    0.406590    0.445182


 k=(   -0.333333   -0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108608   -0.047233    0.058468    0.114120    0.301096
         0.370220    0.422478    0.447614


 k=(    0.555556   -0.111111    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.083419   -0.067195    0.057472    0.097670    0.282961
         0.337773    0.447999    0.458405


 k=(    0.444444   -0.222222    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.088709   -0.061058    0.060671    0.093640    0.278226
         0.342370    0.449141    0.458022


 k=(    0.333333   -0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104387   -0.049280    0.063839    0.114998    0.247292
         0.341716    0.472412    0.474577


 k=(    0.222222   -0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122697   -0.030998    0.073557    0.109400    0.285113
         0.352521    0.391020    0.482488


 k=(    0.111111   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134434   -0.018619    0.062575    0.132573    0.320776
         0.351348    0.383874    0.457154


 k=(    0.000000   -0.222222    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.137808   -0.024629    0.071044    0.152956    0.290000
         0.382919    0.388073    0.465328


 k=(   -0.111111   -0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133238   -0.038084    0.093371    0.137961    0.309615
         0.326171    0.404706    0.445324


 k=(   -0.222222   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122848   -0.045151    0.082058    0.133656    0.270992
         0.390990    0.403912    0.430070


 k=(    0.333333    0.222222    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109691   -0.045688    0.060466    0.111595    0.297216
         0.374769    0.423375    0.448069


 k=(    0.444444    0.222222    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.095854   -0.051548    0.060905    0.082643    0.346719
         0.350117    0.374210    0.438959


 k=(    0.444444    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113822   -0.036771    0.055667    0.111700    0.296077
         0.369733    0.431870    0.446544


 k=(    0.333333    0.666667    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.112938   -0.037809    0.048339    0.127684    0.261699
         0.420632    0.443782    0.459512


 k=(    0.222222    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110848   -0.043368    0.059422    0.111539    0.295794
         0.375728    0.426150    0.446171


 k=(    0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109093   -0.045955    0.056412    0.115440    0.302644
         0.367664    0.424080    0.446340


 k=(    0.000000   -0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.108350   -0.045755    0.046383    0.133138    0.268120
         0.414033    0.437524    0.465271


 k=(   -0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108150   -0.047817    0.057387    0.115383    0.302531
         0.369321    0.422561    0.446565


 k=(    0.222222    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109605   -0.045737    0.059871    0.112219    0.297162
         0.375631    0.423859    0.446933


 k=(    0.333333    0.333333    0.666667):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.112041   -0.039486    0.048065    0.128750    0.263077
         0.418845    0.442312    0.460862


 k=(    0.444444    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113505   -0.037300    0.055141    0.112443    0.297551
         0.367993    0.430928    0.447235


 k=(    0.444444    0.555556    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137972   -0.025883    0.087803    0.135989    0.307720
         0.322506    0.399045    0.445819


 k=(    0.333333    0.555556    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141497   -0.013673    0.069207    0.146813    0.283628
         0.383186    0.385787    0.469651


 k=(    0.222222    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137001   -0.010843    0.062737    0.126236    0.314217
         0.353517    0.384688    0.458469


 k=(    0.111111    0.555556    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.124009   -0.027096    0.069921    0.109611    0.292145
         0.346199    0.385742    0.481263


 k=(    0.000000    0.555556    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103552   -0.049483    0.057784    0.120007    0.253712
         0.336033    0.465973    0.473290


 k=(   -0.111111    0.555556    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.081994   -0.068717    0.056678    0.098510    0.284275
         0.336586    0.447587    0.458486


 k=(    0.222222    0.444444    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.095996   -0.051294    0.060699    0.082712    0.345444
         0.351645    0.374026    0.438811


 k=(    0.333333    0.444444    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113641   -0.037116    0.055625    0.111809    0.297691
         0.367082    0.430551    0.447902


 k=(    0.555556    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128029   -0.032893    0.073953    0.134766    0.271470
         0.385152    0.394421    0.434286


 k=(    0.444444    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149755   -0.000526    0.092006    0.129239    0.266235
         0.360322    0.396068    0.407800


 k=(    0.333333    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164831    0.018790    0.095592    0.146361    0.305515
         0.336009    0.383064    0.400916


 k=(    0.222222    0.444444    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169726    0.028562    0.084892    0.164743    0.302264
         0.366301    0.374083    0.419581


 k=(    0.111111    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164029    0.013917    0.099850    0.145706    0.310641
         0.335146    0.378544    0.405917


 k=(    0.000000    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148061   -0.006945    0.092877    0.133172    0.270717
         0.355998    0.397185    0.410312


 k=(   -0.111111    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123185   -0.028865    0.067996    0.113059    0.291161
         0.346325    0.389526    0.477947


 k=(   -0.222222    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.094331   -0.053754    0.059518    0.084819    0.343362
         0.355063    0.374313    0.437148


 k=(    0.666667    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.097495   -0.048954    0.061643    0.080838    0.347672
         0.348269    0.373431    0.440630


 k=(    0.555556    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125911   -0.022089    0.069295    0.107160    0.287569
         0.350062    0.385645    0.479171


 k=(    0.444444    0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164989    0.019453    0.096607    0.144414    0.306468
         0.334041    0.383115    0.402545


 k=(    0.333333    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184242    0.040204    0.145687    0.153184    0.288243
         0.333283    0.361497    0.402491


 k=(    0.222222    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192989    0.061902    0.130806    0.180516    0.301359
         0.333578    0.342411    0.428538


 k=(    0.111111    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190569    0.070158    0.120199    0.160496    0.293724
         0.343014    0.366521    0.389153


 k=(    0.000000    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177038    0.046809    0.118996    0.136764    0.261840
         0.321383    0.405888    0.417634


 k=(   -0.111111    0.333333    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153363    0.010404    0.094519    0.121763    0.272489
         0.310645    0.405278    0.466372


 k=(   -0.222222    0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123754   -0.028523    0.074523    0.106697    0.284353
         0.353710    0.388645    0.484155


 k=(    0.666667    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.112207   -0.040912    0.060227    0.109470    0.294647
         0.373984    0.427379    0.447910


 k=(    0.555556    0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137472   -0.009336    0.062852    0.124918    0.312801
         0.354458    0.384350    0.458559


 k=(    0.444444    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169996    0.030278    0.084721    0.163046    0.301037
         0.367724    0.373524    0.420088


 k=(    0.333333    0.222222    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.193070    0.062568    0.131767    0.178322    0.301155
         0.335895    0.340829    0.428261


 k=(    0.222222    0.222222    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205892    0.086438    0.176975    0.181724    0.278997
         0.328012    0.332491    0.438848


 k=(    0.111111    0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207431    0.107981    0.160498    0.168085    0.285351
         0.332371    0.359291    0.385689


 k=(    0.000000    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197547    0.094389    0.142215    0.149360    0.254345
         0.336364    0.397143    0.398099


 k=(   -0.111111    0.222222    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176871    0.044429    0.128840    0.130112    0.257924
         0.323669    0.407099    0.421671


 k=(   -0.222222    0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148090   -0.008011    0.101560    0.126236    0.263189
         0.362253    0.397628    0.416505


 k=(   -0.333333    0.222222    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.125327   -0.040056    0.081558    0.131521    0.268425
         0.389900    0.403405    0.432826


 k=(    0.555556    0.222222    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.140664   -0.017258    0.073502    0.144807    0.282193
         0.386900    0.391636    0.466410


 k=(    0.444444    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164387    0.015723    0.099870    0.143977    0.310237
         0.333437    0.379694    0.406267


 k=(    0.333333    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190684    0.071743    0.120059    0.158719    0.294255
         0.342501    0.365706    0.389292


 k=(    0.222222    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207454    0.108591    0.161551    0.166231    0.285644
         0.333142    0.358160    0.385000


 k=(    0.111111    0.111111    0.222222):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213065    0.121759    0.157124    0.195680    0.312754
         0.317112    0.322953    0.399120


 k=(    0.000000    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207158    0.100914    0.165571    0.170613    0.287342
         0.334432    0.358951    0.384541


 k=(   -0.111111    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190083    0.064009    0.120824    0.167606    0.291962
         0.343807    0.370057    0.388789


 k=(   -0.222222    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163504    0.011424    0.098788    0.150305    0.303935
         0.338454    0.382757    0.408147


 k=(   -0.333333    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135139   -0.033547    0.092155    0.136518    0.307359
         0.324821    0.403983    0.447913


 k=(    0.555556    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135852   -0.031857    0.092933    0.134130    0.312506
         0.320100    0.404964    0.441936


 k=(    0.444444    0.000000    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148484   -0.005392    0.092542    0.132425    0.269469
         0.357140    0.396440    0.410154


 k=(    0.333333    0.000000    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177138    0.047708    0.118869    0.136040    0.261431
         0.321894    0.405076    0.417332


 k=(    0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197540    0.094016    0.143532    0.148508    0.254421
         0.336140    0.397207    0.397850


 k=(    0.111111    0.000000    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207129    0.100155    0.165139    0.172145    0.287103
         0.333533    0.359971    0.384973


 k=(    0.000000    0.000000    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205274    0.077718    0.179157    0.188576    0.283544
         0.328401    0.336830    0.435060


 k=(   -0.111111    0.000000    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192098    0.052960    0.133745    0.187419    0.305109
         0.332331    0.347741    0.425524


 k=(   -0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168626    0.022124    0.085399    0.171300    0.306942
         0.361205    0.376630    0.417527


 k=(   -0.333333    0.000000    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139007   -0.021001    0.069489    0.152100    0.288594
         0.381200    0.386863    0.467485


 k=(    0.555556    0.000000    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124777   -0.040111    0.074695    0.138115    0.274930
         0.386067    0.395831    0.430765


 k=(    0.444444   -0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123591   -0.027845    0.067675    0.112862    0.289840
         0.347350    0.389863    0.476964


 k=(    0.333333   -0.111111    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153339    0.010228    0.094729    0.121765    0.272655
         0.310376    0.405326    0.466181


 k=(    0.222222   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176746    0.043245    0.128800    0.131412    0.258488
         0.322776    0.407541    0.422272


 k=(    0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189953    0.062374    0.121364    0.169128    0.291664
         0.343810    0.370928    0.388669


 k=(    0.000000   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192010    0.052269    0.133213    0.189207    0.305448
         0.330620    0.348694    0.425941


 k=(   -0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182837    0.030193    0.151178    0.157543    0.291150
         0.330112    0.371966    0.403282


 k=(   -0.222222   -0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163063    0.008987    0.100927    0.149977    0.306618
         0.337998    0.380619    0.410258


 k=(   -0.333333   -0.111111    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134946   -0.017139    0.062550    0.131497    0.318989
         0.352522    0.383681    0.457090


 k=(   -0.444444   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109891   -0.044149    0.054552    0.116608    0.300777
         0.370353    0.427424    0.444616


 k=(    0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.094173   -0.054022    0.059702    0.084770    0.343887
         0.354240    0.374548    0.437287


 k=(    0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123248   -0.029831    0.075050    0.106957    0.285576
         0.352489    0.388531    0.485108


 k=(    0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147618   -0.009702    0.101740    0.127333    0.264352
         0.360911    0.398074    0.417152


 k=(    0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163118    0.009547    0.099071    0.151819    0.304542
         0.339855    0.381609    0.407834


 k=(    0.000000   -0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168341    0.020483    0.085733    0.172696    0.308415
         0.359650    0.377514    0.416926


 k=(   -0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162898    0.008355    0.100113    0.151638    0.305922
         0.339598    0.380563    0.408893


 k=(   -0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147146   -0.011351    0.102024    0.128236    0.265604
         0.359555    0.398712    0.417586


 k=(   -0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122468   -0.031681    0.074814    0.108388    0.286644
         0.351250    0.389651    0.484791


 k=(   -0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.093175   -0.055487    0.059512    0.085479    0.344591
         0.353911    0.375008    0.436406


 k=(    0.444444    0.666667    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.096640   -0.050331    0.061306    0.081767    0.347226
         0.349089    0.373859    0.439871


 k=(    0.333333    0.666667    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.111027   -0.043247    0.060620    0.110265    0.295906
         0.373951    0.425159    0.448569


 k=(   -0.222222    0.333333   -0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124116   -0.042588    0.081769    0.132665    0.269656
         0.390319    0.403789    0.431484


 k=(    0.111111   -0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134120   -0.035935    0.092070    0.138122    0.308068
         0.326439    0.403395    0.446712


 k=(    0.000000   -0.333333    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138241   -0.023213    0.069974    0.153142    0.290035
         0.381385    0.386994    0.466857


 k=(   -0.111111   -0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134422   -0.018669    0.062611    0.132592    0.320674
         0.351601    0.383701    0.456978


 k=(   -0.222222   -0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122189   -0.032255    0.074066    0.109598    0.286405
         0.351279    0.390874    0.483538


 k=(   -0.333333   -0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103214   -0.051170    0.063612    0.115910    0.248584
         0.340450    0.473285    0.474309


 k=(   -0.444444   -0.333333    0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.087444   -0.062614    0.059998    0.094595    0.279518
         0.341059    0.448502    0.458564


 k=(    0.444444    0.555556    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125643   -0.022733    0.068661    0.108367    0.287275
         0.350067    0.386969    0.477834


 k=(    0.333333    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136971   -0.010990    0.062852    0.126281    0.314044
         0.354113    0.384170    0.458088


 k=(    0.222222    0.555556    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139932   -0.019457    0.073794    0.146138    0.283461
         0.387327    0.391619    0.465144


 k=(    0.111111    0.555556    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134875   -0.034189    0.092716    0.135839    0.312780
         0.322170    0.404446    0.440665


 k=(    0.000000    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.123598   -0.042577    0.075086    0.138958    0.276295
         0.386904    0.395722    0.429450


 k=(    0.111111    0.444444   -0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108697   -0.046374    0.054956    0.117199    0.302221
         0.370148    0.425558    0.444560


 k=(    0.222222    0.444444   -0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.092269   -0.056755    0.059138    0.086248    0.344636
         0.354532    0.375216    0.435412


 k=(    0.333333    0.444444   -0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.087545   -0.062476    0.059949    0.094595    0.279529
         0.341093    0.447969    0.458957


 k=(    0.555556    0.555556    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107297   -0.043363    0.059288    0.116230    0.248964
         0.340422    0.465681    0.471665


 k=(    0.444444    0.444444    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133989   -0.013148    0.091669    0.112415    0.242298
         0.282538    0.478335    0.479587


 k=(    0.333333    0.444444    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153985    0.013552    0.095000    0.117963    0.273910
         0.310340    0.401418    0.466393


 k=(    0.222222    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163977    0.013294    0.101727    0.144399    0.309828
         0.333651    0.379800    0.409415


 k=(    0.111111    0.444444    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163580   -0.006679    0.128452    0.163315    0.291713
         0.336902    0.349293    0.472848


 k=(    0.000000    0.444444    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153257   -0.024269    0.131515    0.154947    0.287227
         0.333221    0.353578    0.450143


 k=(   -0.111111    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134368   -0.034907    0.088531    0.141117    0.309734
         0.328276    0.399139    0.441055


 k=(   -0.222222    0.444444    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109417   -0.045309    0.055921    0.115911    0.299217
         0.373692    0.426697    0.444030


 k=(    0.666667    0.444444    0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.085038   -0.065360    0.058115    0.096840    0.281630
         0.339096    0.447570    0.458833


 k=(    0.555556    0.444444    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105891   -0.045498    0.085084    0.091165    0.267898
         0.278164    0.465152    0.535541


 k=(    0.444444    0.333333    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154207    0.014800    0.094812    0.116833    0.274304
         0.310352    0.400059    0.466684


 k=(    0.333333    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177460    0.050821    0.119060    0.132651    0.260185
         0.323802    0.404212    0.414943


 k=(    0.222222    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190560    0.069924    0.120421    0.160603    0.293797
         0.343134    0.366168    0.388848


 k=(    0.111111    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192546    0.056687    0.136127    0.179316    0.303729
         0.338613    0.342799    0.425270


 k=(    0.000000    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183331    0.033741    0.146451    0.158183    0.291872
         0.336151    0.363775    0.397998


 k=(   -0.111111    0.333333    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163548    0.012124    0.096703    0.151454    0.307602
         0.340961    0.378516    0.401395


 k=(   -0.222222    0.333333    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135498   -0.015418    0.062322    0.130367    0.317497
         0.352815    0.384134    0.457767


 k=(   -0.333333    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110862   -0.042948    0.057529    0.112961    0.299853
         0.367863    0.425643    0.447976


 k=(    0.555556    0.333333    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.124678   -0.025704    0.071749    0.106976    0.289820
         0.348708    0.384458    0.483058


 k=(    0.444444    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164364    0.015410    0.100841    0.143288    0.309825
         0.332703    0.380336    0.408016


 k=(    0.333333    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190681    0.071650    0.120150    0.158756    0.294284
         0.342550    0.365568    0.389179


 k=(    0.222222    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207478    0.109332    0.162534    0.164291    0.285909
         0.334072    0.356933    0.384343


 k=(    0.111111    0.222222    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213119    0.123780    0.156538    0.193618    0.312063
         0.318916    0.321845    0.398975


 k=(    0.000000    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207244    0.103137    0.163558    0.170023    0.287184
         0.335014    0.357753    0.384116


 k=(   -0.111111    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190206    0.065620    0.120259    0.166208    0.292290
         0.343693    0.369117    0.388822


 k=(   -0.222222    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163668    0.012084    0.099570    0.148647    0.304591
         0.336828    0.382875    0.409555


 k=(   -0.333333    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135303   -0.033301    0.093582    0.134768    0.308035
         0.323003    0.405936    0.447776


 k=(    0.555556    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135864   -0.031986    0.094388    0.132703    0.312933
         0.318467    0.406804    0.442835


 k=(    0.444444    0.111111    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.164117   -0.004679    0.128337    0.161801    0.290845
         0.335918    0.349005    0.473601


 k=(    0.333333    0.111111    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192739    0.058597    0.135826    0.177452    0.302864
         0.339494    0.341337    0.425836


 k=(    0.222222    0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213172    0.125751    0.156321    0.191218    0.312112
         0.320034    0.320737    0.398783


 k=(    0.111111    0.111111    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222706    0.162971    0.191006    0.196199    0.293729
         0.311766    0.315354    0.365288


 k=(    0.000000    0.111111    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220668    0.163550    0.176735    0.187240    0.283093
         0.331944    0.335706    0.356918


 k=(   -0.111111    0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207174    0.101544    0.159958    0.176446    0.285378
         0.330970    0.362763    0.386965


 k=(   -0.222222    0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183316    0.033416    0.148873    0.157012    0.288977
         0.328862    0.371052    0.405565


 k=(   -0.333333    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153696   -0.023259    0.140126    0.145880    0.283950
         0.326652    0.361983    0.457077


 k=(    0.555556    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140559   -0.042926    0.130187    0.150405    0.283936
         0.327989    0.353062    0.504327


 k=(    0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153943   -0.022265    0.130979    0.154265    0.286243
         0.331678    0.353670    0.451346


 k=(    0.333333    0.000000    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183559    0.035319    0.145562    0.157745    0.290866
         0.335081    0.363593    0.399112


 k=(    0.222222    0.000000    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207302    0.104576    0.162278    0.169796    0.286841
         0.334635    0.357625    0.384123


 k=(    0.111111    0.000000    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220667    0.162462    0.178759    0.186410    0.283052
         0.332565    0.334968    0.356860


 k=(    0.000000    0.000000    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222573    0.152047    0.194820    0.205371    0.299383
         0.308596    0.314647    0.362727


 k=(   -0.111111    0.000000    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212902    0.117039    0.156838    0.202925    0.309980
         0.317407    0.325236    0.399477


 k=(   -0.222222    0.000000    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192324    0.055411    0.131265    0.188113    0.303746
         0.329539    0.347891    0.427238


 k=(   -0.333333    0.000000    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163586   -0.006173    0.121887    0.171466    0.292360
         0.335035    0.345037    0.474824


 k=(   -0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140275   -0.043239    0.122396    0.159308    0.286047
         0.331785    0.344733    0.503662


 k=(    0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135187   -0.032818    0.087299    0.141242    0.308378
         0.328362    0.397766    0.442407


 k=(    0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163749    0.013273    0.095701    0.151677    0.306256
         0.341214    0.379609    0.400116


 k=(    0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190201    0.065494    0.120369    0.166286    0.292329
         0.343748    0.368928    0.388623


 k=(    0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207111    0.099953    0.161253    0.176961    0.285771
         0.331199    0.362798    0.386703


 k=(    0.000000   -0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212846    0.115298    0.157444    0.204773    0.310038
         0.316424    0.326184    0.399500


 k=(   -0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207049    0.098456    0.162625    0.177256    0.286187
         0.331504    0.362806    0.386473


 k=(   -0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190074    0.063819    0.120985    0.167738    0.292019
         0.343889    0.369766    0.388464


 k=(   -0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163562    0.012301    0.095830    0.152707    0.305198
         0.342090    0.380180    0.400413


 k=(   -0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135034   -0.033193    0.087278    0.141614    0.307688
         0.328987    0.397635    0.443462


 k=(   -0.444444    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110240   -0.043617    0.055016    0.115973    0.299252
         0.372151    0.428141    0.444165


 k=(   -0.333333    0.222222   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135479   -0.015505    0.062387    0.130398    0.317363
         0.353207    0.383829    0.457498


 k=(   -0.222222    0.222222   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163447    0.010838    0.100668    0.148500    0.305890
         0.336630    0.381784    0.410609


 k=(   -0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183076    0.031787    0.149776    0.157572    0.290021
         0.329413    0.371596    0.404424


 k=(    0.000000    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192124    0.053471    0.131999    0.189569    0.304734
         0.329203    0.348799    0.426825


 k=(    0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189950    0.062306    0.121419    0.169180    0.291684
         0.343839    0.370823    0.388545


 k=(    0.222222    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176626    0.042141    0.129282    0.132071    0.259059
         0.321941    0.408175    0.422701


 k=(   -0.333333   -0.222222    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153099    0.008947    0.095213    0.122627    0.272406
         0.310213    0.406655    0.466071


 k=(   -0.444444   -0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123311   -0.028706    0.068452    0.112853    0.288336
         0.348790    0.390885    0.477018


 k=(    0.555556    0.333333   -0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.084904   -0.065530    0.058161    0.096842    0.281619
         0.339064    0.448076    0.458467


 k=(   -0.333333    0.333333   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109987   -0.044773    0.058537    0.112915    0.299724
         0.369475    0.424113    0.448261


 k=(   -0.222222    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134454   -0.035445    0.094911    0.134643    0.309478
         0.322772    0.407233    0.446431


 k=(   -0.111111    0.333333   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152990   -0.025297    0.139937    0.147374    0.284939
         0.327529    0.362473    0.455897


 k=(    0.000000    0.333333   -0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163037   -0.008201    0.122397    0.172564    0.293264
         0.336234    0.345110    0.474861


 k=(    0.111111    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163168    0.010210    0.096898    0.153557    0.305459
         0.342662    0.379656    0.402065


 k=(    0.222222    0.333333   -0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152873    0.007812    0.095475    0.123546    0.272064
         0.310194    0.407924    0.466179


 k=(    0.333333    0.333333   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132498   -0.018242    0.096523    0.112115    0.241307
         0.282274    0.481712    0.486936


 k=(    0.444444    0.333333   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103929   -0.049019    0.084474    0.093809    0.266408
         0.279033    0.470714    0.536259


 k=(    0.444444    0.555556    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105498   -0.046226    0.085085    0.091598    0.267591
         0.278338    0.466326    0.535764


 k=(    0.333333    0.555556    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123978   -0.027680    0.072969    0.107156    0.289614
         0.348980    0.385276    0.484128


 k=(    0.222222    0.555556    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134892   -0.034452    0.095566    0.133048    0.313360
         0.319189    0.407990    0.442567


 k=(    0.111111    0.555556    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139395   -0.045443    0.130186    0.151767    0.284848
         0.328954    0.353427    0.505300


 k=(    0.000000    0.444444   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139105   -0.045763    0.122839    0.160171    0.286971
         0.333666    0.344217    0.504544


 k=(    0.111111    0.444444   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134050   -0.035661    0.088468    0.141879    0.308312
         0.329550    0.398816    0.443269


 k=(    0.222222    0.444444   -0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122599   -0.030614    0.069552    0.113043    0.288191
         0.349070    0.391613    0.478177


 k=(    0.333333    0.444444   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103527   -0.049715    0.084475    0.094187    0.266123
         0.279220    0.471783    0.536201


 k=(    0.444444    0.444444   -0.111111):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.082600   -0.073262    0.084176    0.105399    0.236009
         0.268042    0.540715    0.551799


 k=(    0.444444    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.108835   -0.046978    0.104064    0.106143    0.228699
         0.243568    0.544737    0.544899


 k=(    0.333333    0.444444    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132972   -0.016457    0.092432    0.114478    0.243333
         0.280840    0.478898    0.485030


 k=(    0.222222    0.444444    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147857   -0.008204    0.096175    0.131315    0.267939
         0.358372    0.396511    0.413785


 k=(    0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153141   -0.024716    0.133982    0.152913    0.286266
         0.330044    0.358088    0.452346


 k=(    0.000000    0.444444    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.149659   -0.040291    0.158523    0.169578    0.261315
         0.324284    0.337379    0.490988


 k=(   -0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139220   -0.045633    0.125152    0.157497    0.286041
         0.330555    0.349180    0.504747


 k=(    0.222222    0.555556    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.123778   -0.042635    0.077496    0.136840    0.273332
         0.388035    0.399745    0.429868


 k=(    0.333333    0.555556    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103755   -0.049647    0.060108    0.118334    0.250882
         0.338479    0.467987    0.474261


 k=(    0.555556    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.079731   -0.076194    0.082107    0.107504    0.238127
         0.265996    0.539598    0.551475


 k=(    0.444444    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133274   -0.015419    0.091453    0.114536    0.243538
         0.280876    0.477937    0.483839


 k=(    0.333333    0.333333    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159785    0.022021    0.117936    0.120271    0.233680
         0.280177    0.469364    0.469688


 k=(    0.222222    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176906    0.045067    0.122719    0.135219    0.260526
         0.321837    0.405834    0.420109


 k=(    0.111111    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183223    0.032867    0.148126    0.157742    0.291151
         0.332767    0.367566    0.400483


 k=(    0.000000    0.333333    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178515    0.010349    0.164995    0.176088    0.268732
         0.329243    0.341948    0.491034


 k=(   -0.111111    0.333333    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163260   -0.007548    0.124276    0.169424    0.292516
         0.335990    0.347370    0.472801


 k=(   -0.222222    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138932   -0.021631    0.071173    0.150718    0.287022
         0.383638    0.389274    0.465423


 k=(   -0.333333    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.110272   -0.042491    0.046955    0.131296    0.265248
         0.417030    0.440379    0.461385


 k=(    0.555556    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104627   -0.048022    0.059237    0.118399    0.250958
         0.338459    0.466554    0.473681


 k=(    0.444444    0.222222    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148388   -0.006022    0.094180    0.131511    0.268057
         0.358438    0.395975    0.411928


 k=(    0.333333    0.222222    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177074    0.046838    0.120707    0.135280    0.260743
         0.322186    0.404987    0.418629


 k=(    0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197536    0.093796    0.144618    0.147697    0.254466
         0.336006    0.397359    0.397586


 k=(    0.111111    0.222222    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207187    0.101558    0.163533    0.172270    0.286715
         0.333134    0.359909    0.385050


 k=(    0.000000    0.222222    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205399    0.079428    0.177309    0.188772    0.282494
         0.326934    0.337380    0.435813


 k=(   -0.111111    0.222222    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192297    0.054887    0.133001    0.186031    0.304020
         0.332455    0.347115    0.425945


 k=(   -0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168909    0.023824    0.084999    0.169929    0.305392
         0.362879    0.375744    0.418133


 k=(   -0.333333    0.222222    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139348   -0.020200    0.070068    0.150897    0.287060
         0.382213    0.388148    0.466709


 k=(    0.555556    0.222222    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124870   -0.040136    0.075890    0.137066    0.273425
         0.386662    0.397875    0.430923


 k=(    0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153888   -0.022488    0.132179    0.153280    0.285756
         0.330073    0.355965    0.452425


 k=(    0.333333    0.111111    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183506    0.034875    0.146425    0.157499    0.290502
         0.333365    0.365541    0.400343


 k=(    0.222222    0.111111    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207274    0.103753    0.162491    0.170709    0.286609
         0.333650    0.358764    0.384626


 k=(    0.111111    0.111111    0.000000):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220666    0.161901    0.180091    0.185705    0.283027
         0.333338    0.334124    0.356824


 k=(    0.000000    0.111111    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222599    0.154087    0.192557    0.205284    0.297978
         0.308226    0.315985    0.363237


 k=(   -0.111111    0.111111    0.000000):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212957    0.118934    0.156026    0.201176    0.309612
         0.318870    0.324095    0.399435


 k=(   -0.222222    0.111111    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192410    0.056138    0.131736    0.186363    0.303373
         0.331096    0.347141    0.426773


 k=(   -0.333333    0.111111    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163696   -0.005844    0.122808    0.169912    0.291975
         0.334862    0.346228    0.473800


 k=(   -0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140331   -0.043175    0.123530    0.157994    0.285573
         0.330247    0.347209    0.503726


 k=(   -0.444444    0.000000    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.150619   -0.038006    0.157562    0.169410    0.260558
         0.323055    0.336753    0.490108


 k=(   -0.333333    0.000000    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178888    0.012127    0.163934    0.175837    0.267908
         0.328038    0.341352    0.491104


 k=(   -0.222222    0.000000    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205524    0.081164    0.176002    0.188340    0.281520
         0.326153    0.337233    0.436562


 k=(   -0.111111    0.000000    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222626    0.156243    0.190753    0.204572    0.296699
         0.308441    0.316664    0.363736


 k=(    0.000000    0.000000    0.000000):       259 3-d basis functions
 the   8 eigenvalues are:
        -0.228451    0.198283    0.203875    0.215968    0.293979
         0.300740    0.304252    0.320981


 fermi energy and band-weighting factors:

FERMIE:
          first approx. to ef    (T=0)  :  0.215968 htr   (energy of the highest occ. eigenvalue)
          number of occ. states  (T=0)  :      1460
          first approx. to seigv (T=0)  :  0.176265 htr
          sum of weights of occ. states :  4.000000
          sum of semicore eigenvalues   :  0.000000 htr
          sum of semicore charge        :  0.000000 e



FERHIS:  Fermi-Energy by histogram:

          bandgap                     :   0.012019 htr
          charge neutrality (T=0)     :   0.000000    (zero if the highest occ. eigenvalue is "entirely" occupied)

     EF_NEWTON:  Adjust Fermi-Energy by Newton-Method.

               Number of iterations needed  :   4
               The error in the weight is   :  0.80918E-14
               The error in ef is           : -0.58456E-12 htr


     -->  new fermi energy            :   0.221249 htr
          valence charge              :   8.000000 e 
          actual charge blw ef-8kt    :   7.997257 e 
          actual charge blw ef+8kt    :   8.000000 e 
          number of occ. states       :      1463
          sum of the valence weights  :   4.000000
          entropy         :   0.000199 *kb htr/K =   0.00000 htr/K

          sum of val. single particle energies:         0.1762654880 htr



          valence density: spin= 1

     l-like charge
     atom     s        p        d        f        total
 --> 1    0.89052  1.17097  0.08212  0.00603    2.15124
 --> 2    0.89052  1.17097  0.08212  0.00603    2.15124
 Energy Parameters for spin:           1
 Max. mismatch of energy parameters:    0.000000

     energy parameters for window 1
     atom     s        p        d        f
 -->  1   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0
 -->  2   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0

          total charge for spin  1=    8.000000
          interst. charge =       3.697512
          mt charge=              2.151244    2.151244

          total charge  =    8.000000


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.2038        2.
               2.   0.   0.5   -4.7108        2.
               2.   1.   0.5   -3.1110        2.
               2.   1.   1.5   -3.0873        4.
          atom type  1  (spin 1) 
          kinetic energy=  0.285372493877E+03     sum of the eigenvalues= -0.158400399363E+03
          0.00178905  electrons lost from core.


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.2038        2.
               2.   0.   0.5   -4.7108        2.
               2.   1.   0.5   -3.1110        2.
               2.   1.   1.5   -3.0873        4.
          atom type  2  (spin 1) 
          kinetic energy=  0.285372493881E+03     sum of the eigenvalues= -0.158400399412E+03
          0.00178905  electrons lost from core.

          alpha=   1.39395     acoff=   0.09674

          alpha=   1.39395     acoff=   0.09674

          total charge for spin  1=   28.000000
          interst. charge =       3.700990
          mt charge=             12.149505   12.149505

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.700990
          mt charge=             12.149505   12.149505

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*



     t o t a l  e n e r g y

          sum of eigenvalues =              -316.6245332864

          density-coulomb potential int     -844.4034792208

          density-effective potential i     -898.3135165754

          charge density-ex.-corr.energ      -41.7444075484
 
 FORCES: EQUATION A3 FOR ATOM TYPE   1
 FX_A3= -0.013523  0.000000 FY_A3= -0.008914  0.000000 FZ_A3= -0.004200  0.000000
 FORCES: EQUATION A3 FOR ATOM TYPE   2
 FX_A3=  0.013523  0.000000 FY_A3=  0.008914  0.000000 FZ_A3=  0.004200  0.000000

          el.-nucl. inter. diff. m.t.        342.2710832013

          Madelung term for atom type:        -6.6361070429

          el.-nucl. inter. diff. m.t.        342.2710831464

          Madelung term for atom type:        -6.6361070650


 ----> total energy=                        -580.0715443254 htr

 ***** TOTAL FORCES ON ATOMS ***** 

 TOTAL FORCE FOR ATOM TYPE=  1  X=  1.292   Y=  1.292   Z=  1.292
                       FX_TOT=-0.013523 FY_TOT=-0.008914 FZ_TOT=-0.004200
 TOTAL FORCE FOR ATOM TYPE=  2  X= -1.369   Y= -1.344   Z= -1.318
                       FX_TOT= 0.013523 FY_TOT= 0.008914 FZ_TOT= 0.004200
eps_force= 0.00001max= 0.00001


 ---->(tkb*entropy) TS=                        0.0000001988 htr


 ----> free energy=                         -580.0715445242 htr


      extrapolation for T->0
 ----> total electron energy=               -580.0715444248 htr
 wrtdop title:alpha Si                                                                ordered*
 wrtdop title:alpha Si                                                                ordered*
     <vi|w|Fm> for it 2      -0.006306
     <vi|w|Fm> for it 3       0.021218
     <vi|w|Fm> for it 4       0.008831
     <vi|w|Fm> for it 5       0.058988
     <vi|w|Fm> for it 6       0.013342
     <vi|w|Fm> for it 7      -0.060457
     <vi|w|Fm> for it 8       0.289896

----> distance of charge densities for spin  1        it=  9:   0.005287 me/bohr**3

          total charge for spin  1=   28.000000
          interst. charge =       3.701124
          mt charge=             12.149438   12.149438

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701124
          mt charge=             12.149438   12.149438

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*

     ******* it=  9  is completed********



             it=       10

          total charge for spin  1=   28.000000
          interst. charge =       3.701124
          mt charge=             12.149438   12.149438

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701124
          mt charge=             12.149438   12.149438

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*


          p o t e n t i a l   g e n e r a t o r


          multipole moments for atom type=    1

  l   m                   original                      plane wave
  0   0          -0.52203E+00    0.00000E+00         0.77848E+00   -0.17233E-14
  1   0           0.16734E-02    0.00000E+00         0.14128E-02   -0.79328E-15
  1   1          -0.49363E-02    0.31539E-02        -0.40564E-02    0.25989E-02
  1  -1           0.49363E-02    0.31539E-02         0.40564E-02    0.25989E-02
  1   1          -0.49363E-02    0.31539E-02        -0.40564E-02    0.25989E-02
  1  -1           0.49363E-02    0.31539E-02         0.40564E-02    0.25989E-02
  2   0           0.52202E-03    0.00000E+00         0.49874E-03    0.47928E-16
  2   1           0.12345E-01   -0.18689E-01         0.11743E-01   -0.17750E-01
  2  -1          -0.12345E-01   -0.18689E-01        -0.11743E-01   -0.17750E-01
  2   2          -0.29031E-03    0.58683E-02        -0.27746E-03    0.56342E-02
  2  -2          -0.29031E-03   -0.58683E-02        -0.27746E-03   -0.56342E-02
  2   1           0.12345E-01   -0.18689E-01         0.11743E-01   -0.17750E-01
  2  -1          -0.12345E-01   -0.18689E-01        -0.11743E-01   -0.17750E-01
  2   2          -0.29031E-03    0.58683E-02        -0.27746E-03    0.56342E-02
  2  -2          -0.29031E-03   -0.58683E-02        -0.27746E-03   -0.56342E-02
  3   0          -0.84951E-02    0.00000E+00        -0.82482E-02   -0.11346E-14
  3   1          -0.10735E-01    0.72029E-02        -0.10356E-01    0.69545E-02
  3  -1           0.10735E-01    0.72029E-02         0.10356E-01    0.69545E-02
  3   2          -0.55441E-05    0.46967E+00        -0.47337E-05    0.46255E+00
  3  -2          -0.55441E-05   -0.46967E+00        -0.47337E-05   -0.46255E+00
  3   3           0.13842E-01    0.92681E-02         0.13355E-01    0.89518E-02
  3  -3          -0.13842E-01    0.92681E-02        -0.13355E-01    0.89518E-02
  3   1          -0.10735E-01    0.72029E-02        -0.10356E-01    0.69545E-02
  3  -1           0.10735E-01    0.72029E-02         0.10356E-01    0.69545E-02
  3   2          -0.55441E-05    0.46967E+00        -0.47337E-05    0.46255E+00
  3  -2          -0.55441E-05   -0.46967E+00        -0.47337E-05   -0.46255E+00
  3   3           0.13842E-01    0.92681E-02         0.13355E-01    0.89518E-02
  3  -3          -0.13842E-01    0.92681E-02        -0.13355E-01    0.89518E-02
  4   0          -0.27309E+00    0.00000E+00        -0.26912E+00    0.11409E-14
  4   1           0.34673E-03   -0.37983E-03         0.41297E-03   -0.48743E-03
  4  -1          -0.34673E-03   -0.37983E-03        -0.41297E-03   -0.48743E-03
  4   2          -0.31490E-03   -0.10924E-02        -0.30580E-03   -0.11522E-02
  4  -2          -0.31490E-03    0.10924E-02        -0.30580E-03    0.11522E-02
  4   3           0.83830E-03    0.96002E-03         0.10181E-02    0.12473E-02
  4  -3          -0.83830E-03    0.96002E-03        -0.10181E-02    0.12473E-02
  4   4          -0.16268E+00   -0.84931E-05        -0.16032E+00   -0.79845E-05
  4  -4          -0.16268E+00    0.84931E-05        -0.16032E+00    0.79845E-05
  4   1           0.34673E-03   -0.37983E-03         0.41297E-03   -0.48743E-03
  4  -1          -0.34673E-03   -0.37983E-03        -0.41297E-03   -0.48743E-03
  4   2          -0.31490E-03   -0.10924E-02        -0.30580E-03   -0.11522E-02
  4  -2          -0.31490E-03    0.10924E-02        -0.30580E-03    0.11522E-02
  4   3           0.83830E-03    0.96002E-03         0.10181E-02    0.12473E-02
  4  -3          -0.83830E-03    0.96002E-03        -0.10181E-02    0.12473E-02
  4   4          -0.16268E+00   -0.84931E-05        -0.16032E+00   -0.79845E-05
  4  -4          -0.16268E+00    0.84931E-05        -0.16032E+00    0.79845E-05
  5   0           0.53227E-02    0.00000E+00         0.52639E-02   -0.81044E-15
  5   1           0.43741E-02   -0.27153E-02         0.42146E-02   -0.26120E-02
  5  -1          -0.43741E-02   -0.27153E-02        -0.42146E-02   -0.26120E-02
  5   2           0.77404E-05    0.61508E-03         0.76072E-05    0.60124E-03
  5  -2           0.77404E-05   -0.61508E-03         0.76072E-05   -0.60124E-03
  5   3           0.17819E-01    0.11793E-01         0.17488E-01    0.11571E-01
  5  -3          -0.17819E-01    0.11793E-01        -0.17488E-01    0.11571E-01
  5   4          -0.46733E-02   -0.48301E-03        -0.45589E-02   -0.47201E-03
  5  -4          -0.46733E-02    0.48301E-03        -0.45589E-02    0.47201E-03
  5   5          -0.37256E-02    0.26169E-02        -0.37317E-02    0.26183E-02
  5  -5           0.37256E-02    0.26169E-02         0.37317E-02    0.26183E-02
  5   1           0.43741E-02   -0.27153E-02         0.42146E-02   -0.26120E-02
  5  -1          -0.43741E-02   -0.27153E-02        -0.42146E-02   -0.26120E-02
  5   2           0.77404E-05    0.61508E-03         0.76072E-05    0.60124E-03
  5  -2           0.77404E-05   -0.61508E-03         0.76072E-05   -0.60124E-03
  5   3           0.17819E-01    0.11793E-01         0.17488E-01    0.11571E-01
  5  -3          -0.17819E-01    0.11793E-01        -0.17488E-01    0.11571E-01
  5   4          -0.46733E-02   -0.48301E-03        -0.45589E-02   -0.47201E-03
  5  -4          -0.46733E-02    0.48301E-03        -0.45589E-02    0.47201E-03
  5   5          -0.37256E-02    0.26169E-02        -0.37317E-02    0.26183E-02
  5  -5           0.37256E-02    0.26169E-02         0.37317E-02    0.26183E-02
  6   0           0.10281E+00    0.00000E+00         0.10175E+00    0.12532E-14
  6   1          -0.64037E-02    0.97170E-02        -0.63485E-02    0.96351E-02
  6  -1           0.64037E-02    0.97170E-02         0.63485E-02    0.96351E-02
  6   2           0.11842E-03   -0.60789E-02         0.11734E-03   -0.60169E-02
  6  -2           0.11842E-03    0.60789E-02         0.11734E-03    0.60169E-02
  6   3          -0.42896E-02   -0.62275E-02        -0.42487E-02   -0.61688E-02
  6  -3           0.42896E-02   -0.62275E-02         0.42487E-02   -0.61688E-02
  6   4          -0.19311E+00   -0.54785E-05        -0.19112E+00   -0.55812E-05
  6  -4          -0.19311E+00    0.54785E-05        -0.19112E+00    0.55812E-05
  6   5          -0.97090E-02    0.14433E-01        -0.96199E-02    0.14303E-01
  6  -5           0.97090E-02    0.14433E-01         0.96199E-02    0.14303E-01
  6   6           0.17606E-03   -0.20775E-02         0.17447E-03   -0.20574E-02
  6  -6           0.17606E-03    0.20775E-02         0.17447E-03    0.20574E-02
  6   1          -0.64037E-02    0.97170E-02        -0.63485E-02    0.96351E-02
  6  -1           0.64037E-02    0.97170E-02         0.63485E-02    0.96351E-02
  6   2           0.11842E-03   -0.60789E-02         0.11734E-03   -0.60169E-02
  6  -2           0.11842E-03    0.60789E-02         0.11734E-03    0.60169E-02
  6   3          -0.42896E-02   -0.62275E-02        -0.42487E-02   -0.61688E-02
  6  -3           0.42896E-02   -0.62275E-02         0.42487E-02   -0.61688E-02
  6   4          -0.19311E+00   -0.54785E-05        -0.19112E+00   -0.55812E-05
  6  -4          -0.19311E+00    0.54785E-05        -0.19112E+00    0.55812E-05
  6   5          -0.97090E-02    0.14433E-01        -0.96199E-02    0.14303E-01
  6  -5           0.97090E-02    0.14433E-01         0.96199E-02    0.14303E-01
  6   6           0.17606E-03   -0.20775E-02         0.17447E-03   -0.20574E-02
  6  -6           0.17606E-03    0.20775E-02         0.17447E-03    0.20574E-02
  7   0           0.24634E-02    0.00000E+00         0.24470E-02    0.46532E-14
  7   1           0.51583E-02   -0.35462E-02         0.51443E-02   -0.35369E-02
  7  -1          -0.51583E-02   -0.35462E-02        -0.51443E-02   -0.35369E-02
  7   2           0.24196E-05   -0.12872E+00         0.24102E-05   -0.12877E+00
  7  -2           0.24196E-05    0.12872E+00         0.24102E-05    0.12877E+00
  7   3          -0.12546E-02   -0.85863E-03        -0.12389E-02   -0.84825E-03
  7  -3           0.12546E-02   -0.85863E-03         0.12389E-02   -0.84825E-03
  7   4           0.24426E-02   -0.36116E-03         0.24430E-02   -0.36205E-03
  7  -4           0.24426E-02    0.36116E-03         0.24430E-02    0.36205E-03
  7   5          -0.27217E-02    0.18618E-02        -0.27406E-02    0.18746E-02
  7  -5           0.27217E-02    0.18618E-02         0.27406E-02    0.18746E-02
  7   6           0.43101E-05   -0.11779E+00         0.42429E-05   -0.11784E+00
  7  -6           0.43101E-05    0.11779E+00         0.42429E-05    0.11784E+00
  7   7          -0.47000E-02   -0.32246E-02        -0.46771E-02   -0.32094E-02
  7  -7           0.47000E-02   -0.32246E-02         0.46771E-02   -0.32094E-02
  7   1           0.51583E-02   -0.35462E-02         0.51443E-02   -0.35369E-02
  7  -1          -0.51583E-02   -0.35462E-02        -0.51443E-02   -0.35369E-02
  7   2           0.24196E-05   -0.12872E+00         0.24102E-05   -0.12877E+00
  7  -2           0.24196E-05    0.12872E+00         0.24102E-05    0.12877E+00
  7   3          -0.12546E-02   -0.85863E-03        -0.12389E-02   -0.84825E-03
  7  -3           0.12546E-02   -0.85863E-03         0.12389E-02   -0.84825E-03
  7   4           0.24426E-02   -0.36116E-03         0.24430E-02   -0.36205E-03
  7  -4           0.24426E-02    0.36116E-03         0.24430E-02    0.36205E-03
  7   5          -0.27217E-02    0.18618E-02        -0.27406E-02    0.18746E-02
  7  -5           0.27217E-02    0.18618E-02         0.27406E-02    0.18746E-02
  7   6           0.43101E-05   -0.11779E+00         0.42429E-05   -0.11784E+00
  7  -6           0.43101E-05    0.11779E+00         0.42429E-05    0.11784E+00
  7   7          -0.47000E-02   -0.32246E-02        -0.46771E-02   -0.32094E-02
  7  -7           0.47000E-02   -0.32246E-02         0.46771E-02   -0.32094E-02
  8   0           0.52639E-01    0.00000E+00         0.56883E-01   -0.11326E-14
  8   1           0.59077E-03   -0.93558E-03         0.52868E-03   -0.83479E-03
  8  -1          -0.59077E-03   -0.93558E-03        -0.52868E-03   -0.83479E-03
  8   2           0.10441E-03    0.31321E-02         0.11463E-03    0.34711E-02
  8  -2           0.10441E-03   -0.31321E-02         0.11463E-03   -0.34711E-02
  8   3          -0.88131E-03   -0.12356E-02        -0.11224E-02   -0.16028E-02
  8  -3           0.88131E-03   -0.12356E-02         0.11224E-02   -0.16028E-02
  8   4           0.19351E-01    0.86407E-05         0.20943E-01    0.86865E-05
  8  -4           0.19351E-01   -0.86407E-05         0.20943E-01   -0.86865E-05
  8   5          -0.56796E-02    0.85180E-02        -0.61398E-02    0.92026E-02
  8  -5           0.56796E-02    0.85180E-02         0.61398E-02    0.92026E-02
  8   6           0.32653E-03   -0.14340E-02         0.33085E-03   -0.14897E-02
  8  -6           0.32653E-03    0.14340E-02         0.33085E-03    0.14897E-02
  8   7          -0.33965E-02   -0.50343E-02        -0.38738E-02   -0.57561E-02
  8  -7           0.33965E-02   -0.50343E-02         0.38738E-02   -0.57561E-02
  8   8           0.29790E-01   -0.13934E-05         0.32204E-01   -0.21264E-05
  8  -8           0.29790E-01    0.13934E-05         0.32204E-01    0.21264E-05
  8   1           0.59077E-03   -0.93558E-03         0.52868E-03   -0.83479E-03
  8  -1          -0.59077E-03   -0.93558E-03        -0.52868E-03   -0.83479E-03
  8   2           0.10441E-03    0.31321E-02         0.11463E-03    0.34711E-02
  8  -2           0.10441E-03   -0.31321E-02         0.11463E-03   -0.34711E-02
  8   3          -0.88131E-03   -0.12356E-02        -0.11224E-02   -0.16028E-02
  8  -3           0.88131E-03   -0.12356E-02         0.11224E-02   -0.16028E-02
  8   4           0.19351E-01    0.86407E-05         0.20943E-01    0.86865E-05
  8  -4           0.19351E-01   -0.86407E-05         0.20943E-01   -0.86865E-05
  8   5          -0.56796E-02    0.85180E-02        -0.61398E-02    0.92026E-02
  8  -5           0.56796E-02    0.85180E-02         0.61398E-02    0.92026E-02
  8   6           0.32653E-03   -0.14340E-02         0.33085E-03   -0.14897E-02
  8  -6           0.32653E-03    0.14340E-02         0.33085E-03    0.14897E-02
  8   7          -0.33965E-02   -0.50343E-02        -0.38738E-02   -0.57561E-02
  8  -7           0.33965E-02   -0.50343E-02         0.38738E-02   -0.57561E-02
  8   8           0.29790E-01   -0.13934E-05         0.32204E-01   -0.21264E-05
  8  -8           0.29790E-01    0.13934E-05         0.32204E-01    0.21264E-05

          multipole moments for atom type=    2

  l   m                   original                      plane wave
  0   0          -0.52203E+00    0.00000E+00         0.77848E+00   -0.11854E-14
  1   0          -0.16734E-02    0.00000E+00        -0.14128E-02    0.44105E-15
  1   1           0.49363E-02   -0.31539E-02         0.40564E-02   -0.25989E-02
  1  -1          -0.49363E-02   -0.31539E-02        -0.40564E-02   -0.25989E-02
  1   1           0.49363E-02   -0.31539E-02         0.40564E-02   -0.25989E-02
  1  -1          -0.49363E-02   -0.31539E-02        -0.40564E-02   -0.25989E-02
  2   0           0.52202E-03    0.00000E+00         0.49873E-03   -0.23591E-16
  2   1           0.12345E-01   -0.18689E-01         0.11743E-01   -0.17750E-01
  2  -1          -0.12345E-01   -0.18689E-01        -0.11743E-01   -0.17750E-01
  2   2          -0.29035E-03    0.58683E-02        -0.27748E-03    0.56342E-02
  2  -2          -0.29035E-03   -0.58683E-02        -0.27748E-03   -0.56342E-02
  2   1           0.12345E-01   -0.18689E-01         0.11743E-01   -0.17750E-01
  2  -1          -0.12345E-01   -0.18689E-01        -0.11743E-01   -0.17750E-01
  2   2          -0.29035E-03    0.58683E-02        -0.27748E-03    0.56342E-02
  2  -2          -0.29035E-03   -0.58683E-02        -0.27748E-03   -0.56342E-02
  3   0           0.84951E-02    0.00000E+00         0.82481E-02   -0.31047E-15
  3   1           0.10735E-01   -0.72029E-02         0.10356E-01   -0.69545E-02
  3  -1          -0.10735E-01   -0.72029E-02        -0.10356E-01   -0.69545E-02
  3   2           0.55909E-05   -0.46967E+00         0.47828E-05   -0.46255E+00
  3  -2           0.55909E-05    0.46967E+00         0.47828E-05    0.46255E+00
  3   3          -0.13842E-01   -0.92681E-02        -0.13355E-01   -0.89518E-02
  3  -3           0.13842E-01   -0.92681E-02         0.13355E-01   -0.89518E-02
  3   1           0.10735E-01   -0.72029E-02         0.10356E-01   -0.69545E-02
  3  -1          -0.10735E-01   -0.72029E-02        -0.10356E-01   -0.69545E-02
  3   2           0.55909E-05   -0.46967E+00         0.47828E-05   -0.46255E+00
  3  -2           0.55909E-05    0.46967E+00         0.47828E-05    0.46255E+00
  3   3          -0.13842E-01   -0.92681E-02        -0.13355E-01   -0.89518E-02
  3  -3           0.13842E-01   -0.92681E-02         0.13355E-01   -0.89518E-02
  4   0          -0.27309E+00    0.00000E+00        -0.26912E+00    0.24560E-14
  4   1           0.34674E-03   -0.37975E-03         0.41298E-03   -0.48737E-03
  4  -1          -0.34674E-03   -0.37975E-03        -0.41298E-03   -0.48737E-03
  4   2          -0.31490E-03   -0.10925E-02        -0.30579E-03   -0.11522E-02
  4  -2          -0.31490E-03    0.10925E-02        -0.30579E-03    0.11522E-02
  4   3           0.83830E-03    0.96053E-03         0.10181E-02    0.12478E-02
  4  -3          -0.83830E-03    0.96053E-03        -0.10181E-02    0.12478E-02
  4   4          -0.16268E+00   -0.85621E-05        -0.16032E+00   -0.80558E-05
  4  -4          -0.16268E+00    0.85621E-05        -0.16032E+00    0.80558E-05
  4   1           0.34674E-03   -0.37975E-03         0.41298E-03   -0.48737E-03
  4  -1          -0.34674E-03   -0.37975E-03        -0.41298E-03   -0.48737E-03
  4   2          -0.31490E-03   -0.10925E-02        -0.30579E-03   -0.11522E-02
  4  -2          -0.31490E-03    0.10925E-02        -0.30579E-03    0.11522E-02
  4   3           0.83830E-03    0.96053E-03         0.10181E-02    0.12478E-02
  4  -3          -0.83830E-03    0.96053E-03        -0.10181E-02    0.12478E-02
  4   4          -0.16268E+00   -0.85621E-05        -0.16032E+00   -0.80558E-05
  4  -4          -0.16268E+00    0.85621E-05        -0.16032E+00    0.80558E-05
  5   0          -0.53228E-02    0.00000E+00        -0.52639E-02   -0.23777E-14
  5   1          -0.43741E-02    0.27153E-02        -0.42147E-02    0.26120E-02
  5  -1           0.43741E-02    0.27153E-02         0.42147E-02    0.26120E-02
  5   2          -0.77890E-05   -0.61500E-03        -0.76562E-05   -0.60115E-03
  5  -2          -0.77890E-05    0.61500E-03        -0.76562E-05    0.60115E-03
  5   3          -0.17819E-01   -0.11793E-01        -0.17488E-01   -0.11571E-01
  5  -3           0.17819E-01   -0.11793E-01         0.17488E-01   -0.11571E-01
  5   4           0.46735E-02    0.48353E-03         0.45592E-02    0.47255E-03
  5  -4           0.46735E-02   -0.48353E-03         0.45592E-02   -0.47255E-03
  5   5           0.37237E-02   -0.26169E-02         0.37297E-02   -0.26183E-02
  5  -5          -0.37237E-02   -0.26169E-02        -0.37297E-02   -0.26183E-02
  5   1          -0.43741E-02    0.27153E-02        -0.42147E-02    0.26120E-02
  5  -1           0.43741E-02    0.27153E-02         0.42147E-02    0.26120E-02
  5   2          -0.77890E-05   -0.61500E-03        -0.76562E-05   -0.60115E-03
  5  -2          -0.77890E-05    0.61500E-03        -0.76562E-05    0.60115E-03
  5   3          -0.17819E-01   -0.11793E-01        -0.17488E-01   -0.11571E-01
  5  -3           0.17819E-01   -0.11793E-01         0.17488E-01   -0.11571E-01
  5   4           0.46735E-02    0.48353E-03         0.45592E-02    0.47255E-03
  5  -4           0.46735E-02   -0.48353E-03         0.45592E-02   -0.47255E-03
  5   5           0.37237E-02   -0.26169E-02         0.37297E-02   -0.26183E-02
  5  -5          -0.37237E-02   -0.26169E-02        -0.37297E-02   -0.26183E-02
  6   0           0.10281E+00    0.00000E+00         0.10175E+00    0.22978E-14
  6   1          -0.64037E-02    0.97172E-02        -0.63485E-02    0.96352E-02
  6  -1           0.64037E-02    0.97172E-02         0.63485E-02    0.96352E-02
  6   2           0.11859E-03   -0.60789E-02         0.11751E-03   -0.60169E-02
  6  -2           0.11859E-03    0.60789E-02         0.11751E-03    0.60169E-02
  6   3          -0.42896E-02   -0.62282E-02        -0.42487E-02   -0.61695E-02
  6  -3           0.42896E-02   -0.62282E-02         0.42487E-02   -0.61695E-02
  6   4          -0.19311E+00   -0.55879E-05        -0.19112E+00   -0.56937E-05
  6  -4          -0.19311E+00    0.55879E-05        -0.19112E+00    0.56937E-05
  6   5          -0.97092E-02    0.14433E-01        -0.96200E-02    0.14303E-01
  6  -5           0.97092E-02    0.14433E-01         0.96200E-02    0.14303E-01
  6   6           0.17552E-03   -0.20771E-02         0.17391E-03   -0.20570E-02
  6  -6           0.17552E-03    0.20771E-02         0.17391E-03    0.20570E-02
  6   1          -0.64037E-02    0.97172E-02        -0.63485E-02    0.96352E-02
  6  -1           0.64037E-02    0.97172E-02         0.63485E-02    0.96352E-02
  6   2           0.11859E-03   -0.60789E-02         0.11751E-03   -0.60169E-02
  6  -2           0.11859E-03    0.60789E-02         0.11751E-03    0.60169E-02
  6   3          -0.42896E-02   -0.62282E-02        -0.42487E-02   -0.61695E-02
  6  -3           0.42896E-02   -0.62282E-02         0.42487E-02   -0.61695E-02
  6   4          -0.19311E+00   -0.55879E-05        -0.19112E+00   -0.56937E-05
  6  -4          -0.19311E+00    0.55879E-05        -0.19112E+00    0.56937E-05
  6   5          -0.97092E-02    0.14433E-01        -0.96200E-02    0.14303E-01
  6  -5           0.97092E-02    0.14433E-01         0.96200E-02    0.14303E-01
  6   6           0.17552E-03   -0.20771E-02         0.17391E-03   -0.20570E-02
  6  -6           0.17552E-03    0.20771E-02         0.17391E-03    0.20570E-02
  7   0          -0.24632E-02    0.00000E+00        -0.24468E-02   -0.40168E-15
  7   1          -0.51587E-02    0.35463E-02        -0.51447E-02    0.35369E-02
  7  -1           0.51587E-02    0.35463E-02         0.51447E-02    0.35369E-02
  7   2          -0.24074E-05    0.12872E+00        -0.23972E-05    0.12877E+00
  7  -2          -0.24074E-05   -0.12872E+00        -0.23972E-05   -0.12877E+00
  7   3           0.12554E-02    0.85868E-03         0.12397E-02    0.84830E-03
  7  -3          -0.12554E-02    0.85868E-03        -0.12397E-02    0.84830E-03
  7   4          -0.24427E-02    0.36107E-03        -0.24431E-02    0.36196E-03
  7  -4          -0.24427E-02   -0.36107E-03        -0.24431E-02   -0.36196E-03
  7   5           0.27235E-02   -0.18618E-02         0.27424E-02   -0.18745E-02
  7  -5          -0.27235E-02   -0.18618E-02        -0.27424E-02   -0.18745E-02
  7   6          -0.43798E-05    0.11779E+00        -0.43120E-05    0.11784E+00
  7  -6          -0.43798E-05   -0.11779E+00        -0.43120E-05   -0.11784E+00
  7   7           0.47000E-02    0.32244E-02         0.46771E-02    0.32092E-02
  7  -7          -0.47000E-02    0.32244E-02        -0.46771E-02    0.32092E-02
  7   1          -0.51587E-02    0.35463E-02        -0.51447E-02    0.35369E-02
  7  -1           0.51587E-02    0.35463E-02         0.51447E-02    0.35369E-02
  7   2          -0.24074E-05    0.12872E+00        -0.23972E-05    0.12877E+00
  7  -2          -0.24074E-05   -0.12872E+00        -0.23972E-05   -0.12877E+00
  7   3           0.12554E-02    0.85868E-03         0.12397E-02    0.84830E-03
  7  -3          -0.12554E-02    0.85868E-03        -0.12397E-02    0.84830E-03
  7   4          -0.24427E-02    0.36107E-03        -0.24431E-02    0.36196E-03
  7  -4          -0.24427E-02   -0.36107E-03        -0.24431E-02   -0.36196E-03
  7   5           0.27235E-02   -0.18618E-02         0.27424E-02   -0.18745E-02
  7  -5          -0.27235E-02   -0.18618E-02        -0.27424E-02   -0.18745E-02
  7   6          -0.43798E-05    0.11779E+00        -0.43120E-05    0.11784E+00
  7  -6          -0.43798E-05   -0.11779E+00        -0.43120E-05   -0.11784E+00
  7   7           0.47000E-02    0.32244E-02         0.46771E-02    0.32092E-02
  7  -7          -0.47000E-02    0.32244E-02        -0.46771E-02    0.32092E-02
  8   0           0.52639E-01    0.00000E+00         0.56883E-01   -0.99276E-14
  8   1           0.59075E-03   -0.93615E-03         0.52866E-03   -0.83538E-03
  8  -1          -0.59075E-03   -0.93615E-03        -0.52866E-03   -0.83538E-03
  8   2           0.10446E-03    0.31324E-02         0.11473E-03    0.34714E-02
  8  -2           0.10446E-03   -0.31324E-02         0.11473E-03   -0.34714E-02
  8   3          -0.88132E-03   -0.12360E-02        -0.11224E-02   -0.16033E-02
  8  -3           0.88132E-03   -0.12360E-02         0.11224E-02   -0.16033E-02
  8   4           0.19350E-01    0.87880E-05         0.20943E-01    0.88493E-05
  8  -4           0.19350E-01   -0.87880E-05         0.20943E-01   -0.88493E-05
  8   5          -0.56796E-02    0.85173E-02        -0.61399E-02    0.92019E-02
  8  -5           0.56796E-02    0.85173E-02         0.61399E-02    0.92019E-02
  8   6           0.32689E-03   -0.14342E-02         0.33120E-03   -0.14898E-02
  8  -6           0.32689E-03    0.14342E-02         0.33120E-03    0.14898E-02
  8   7          -0.33965E-02   -0.50329E-02        -0.38738E-02   -0.57547E-02
  8  -7           0.33965E-02   -0.50329E-02         0.38738E-02   -0.57547E-02
  8   8           0.29790E-01   -0.14593E-05         0.32204E-01   -0.21946E-05
  8  -8           0.29790E-01    0.14593E-05         0.32204E-01    0.21946E-05
  8   1           0.59075E-03   -0.93615E-03         0.52866E-03   -0.83538E-03
  8  -1          -0.59075E-03   -0.93615E-03        -0.52866E-03   -0.83538E-03
  8   2           0.10446E-03    0.31324E-02         0.11473E-03    0.34714E-02
  8  -2           0.10446E-03   -0.31324E-02         0.11473E-03   -0.34714E-02
  8   3          -0.88132E-03   -0.12360E-02        -0.11224E-02   -0.16033E-02
  8  -3           0.88132E-03   -0.12360E-02         0.11224E-02   -0.16033E-02
  8   4           0.19350E-01    0.87880E-05         0.20943E-01    0.88493E-05
  8  -4           0.19350E-01   -0.87880E-05         0.20943E-01   -0.88493E-05
  8   5          -0.56796E-02    0.85173E-02        -0.61399E-02    0.92019E-02
  8  -5           0.56796E-02    0.85173E-02         0.61399E-02    0.92019E-02
  8   6           0.32689E-03   -0.14342E-02         0.33120E-03   -0.14898E-02
  8  -6           0.32689E-03    0.14342E-02         0.33120E-03    0.14898E-02
  8   7          -0.33965E-02   -0.50329E-02        -0.38738E-02   -0.57547E-02
  8  -7           0.33965E-02   -0.50329E-02         0.38738E-02   -0.57547E-02
  8   8           0.29790E-01   -0.14593E-05         0.32204E-01   -0.21946E-05
  8  -8           0.29790E-01    0.14593E-05         0.32204E-01    0.21946E-05

          integral of pseudo charge density inside the slab=        0.000000   0.000000

     coulomb potential in the interstitial region:

          density-coulomb potential integrals


          interstitial :                       0.7807274754

          muffin tin spheres :              -845.1834079150

          total density-coulomb potenti     -844.4026804395
 wrtdop title:alpha Si                                                                ordered*

     interstitial potential average (vbar) = -0.027907

 999idsprs in starting of nmtxad= 0

          density-effective potential integrals for spin  1


          interstitial :                      -0.4749422712

          muffin tin spheres :              -897.8379026537

          total density-effective poten     -898.3128449249

          charge density-energy density integrals


          interstitial :                      -0.9795659435

          muffin tin spheres :               -40.7649406321

          total charge density-energy d      -41.7445065756
 vgen: pottot deleted
 wrtdop title:alpha Si                                                                ordered*
 IT=  10  ISEC1=  99 standard diagonalization
  Atom  1 3s branch from -4.72 to  1.07 htr. ; e_l = -0.1341
  Atom  1 3p branch from -3.11 to  1.55 htr. ; e_l =  0.0500
  Atom  1 3d branch from -9.99 to  1.95 htr. ; e_l =  0.2439
  Atom  1 4f branch from -9.99 to  4.11 htr. ; e_l =  0.4116
  Atom  2 3s branch from -4.72 to  1.07 htr. ; e_l = -0.1341
  Atom  2 3p branch from -3.11 to  1.55 htr. ; e_l =  0.0500
  Atom  2 3d branch from -9.99 to  1.95 htr. ; e_l =  0.2439
  Atom  2 4f branch from -9.99 to  4.11 htr. ; e_l =  0.4116


 wavefunction parameters for atom type  1:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.13409        4.7800562E-01  -2.4465402E-01    2       -3.1232949E-01  -7.4530276E-01    2   1.0766724E-01   4.3267158E-01
  1   0.04999       -5.5348686E-01   9.9418702E-02    1        2.6599596E-01   7.3396804E-01    2   7.9522057E-02   4.3268664E-01
  2   0.24386        6.4439196E-01   1.6344208E-01    0       -2.3289871E-01  -7.3053300E-01    1   6.5179054E-02   4.3268414E-01
  3   0.41164        8.3799998E-01   7.5544815E-01    0       -1.2158492E-01  -6.2593060E-01    1   1.3122251E-02   4.3267873E-01
  4   0.41164        9.7736349E-01   1.4626807E+00    0       -8.2132598E-02  -5.6560529E-01    1   4.9166941E-03   4.3266820E-01
  5   0.41164        1.0889890E+00   2.2153830E+00    0       -6.1660950E-02  -5.2274000E-01    1   2.3795474E-03   4.3265549E-01
  6   0.41164        1.1859741E+00   3.0206231E+00    0       -4.8925252E-02  -4.8940793E-01    1   1.3189791E-03   4.3264038E-01
  7   0.41164        1.2734320E+00   3.8786656E+00    0       -4.0219932E-02  -4.6223314E-01    1   7.9808747E-04   4.3262283E-01
  8   0.41164        1.3539864E+00   4.7881049E+00    0       -3.3904805E-02  -4.3940068E-01    1   5.1413450E-04   4.3260278E-01


 wavefunction parameters for atom type  2:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.13409        4.7800562E-01  -2.4465403E-01    2       -3.1232949E-01  -7.4530276E-01    2   1.0766724E-01   4.3267158E-01
  1   0.04999       -5.5348686E-01   9.9418712E-02    1        2.6599596E-01   7.3396804E-01    2   7.9522058E-02   4.3268664E-01
  2   0.24386        6.4439195E-01   1.6344206E-01    0       -2.3289872E-01  -7.3053301E-01    1   6.5179056E-02   4.3268414E-01
  3   0.41164        8.3799998E-01   7.5544815E-01    0       -1.2158492E-01  -6.2593060E-01    1   1.3122251E-02   4.3267873E-01
  4   0.41164        9.7736349E-01   1.4626806E+00    0       -8.2132598E-02  -5.6560529E-01    1   4.9166942E-03   4.3266820E-01
  5   0.41164        1.0889890E+00   2.2153830E+00    0       -6.1660950E-02  -5.2274000E-01    1   2.3795474E-03   4.3265549E-01
  6   0.41164        1.1859741E+00   3.0206230E+00    0       -4.8925252E-02  -4.8940793E-01    1   1.3189791E-03   4.3264038E-01
  7   0.41164        1.2734320E+00   3.8786656E+00    0       -4.0219932E-02  -4.6223314E-01    1   7.9808747E-04   4.3262283E-01
  8   0.41164        1.3539864E+00   4.7881048E+00    0       -3.3904805E-02  -4.3940068E-01    1   5.1413450E-04   4.3260278E-01


 k=(    0.444444    0.444444    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.153282   -0.031294    0.159304    0.163880    0.258586
         0.324572    0.329869    0.487743


 k=(    0.333333    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155808   -0.016637    0.134399    0.147131    0.282763
         0.327029    0.355423    0.456841


 k=(    0.222222    0.444444    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149606   -0.001543    0.095571    0.126842    0.263606
         0.363100    0.395646    0.410691


 k=(    0.111111    0.444444    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133883   -0.013598    0.094255    0.110452    0.240046
         0.284584    0.479227    0.481200


 k=(    0.000000    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.109046   -0.046476    0.102273    0.107595    0.228000
         0.244449    0.544472    0.545263


 k=(   -0.111111    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.085596   -0.069898    0.085728    0.103581    0.233508
         0.270558    0.542641    0.551617


 k=(    0.222222    0.555556    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107771   -0.042868    0.061524    0.114176    0.246328
         0.342992    0.468494    0.471695


 k=(    0.333333    0.555556    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128237   -0.032824    0.076667    0.132188    0.268737
         0.386838    0.397742    0.434830


 k=(    0.555556    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143575   -0.035780    0.125160    0.151856    0.282832
         0.327784    0.346525    0.501224


 k=(    0.444444    0.333333    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155850   -0.016446    0.132469    0.148929    0.283238
         0.328015    0.353718    0.455741


 k=(    0.333333    0.333333    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165141   -0.000122    0.121287    0.166959    0.290185
         0.336916    0.339238    0.476507


 k=(    0.222222    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164630    0.017665    0.096391    0.146833    0.303999
         0.336243    0.384322    0.403146


 k=(    0.111111    0.333333    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153779    0.012627    0.094952    0.119000    0.273268
         0.310799    0.402720    0.466474


 k=(    0.000000    0.333333    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132898   -0.016359    0.090603    0.115989    0.245256
         0.279234    0.479958    0.483706


 k=(   -0.111111    0.333333    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104156   -0.048510    0.083708    0.094293    0.265638
         0.279962    0.470632    0.535965


 k=(   -0.222222    0.333333    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.090023   -0.059318    0.061329    0.092607    0.277039
         0.343698    0.449010    0.458081


 k=(    0.666667    0.333333    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114371   -0.035892    0.057315    0.109587    0.294948
         0.369552    0.431856    0.447725


 k=(    0.555556    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138137   -0.025715    0.090672    0.132750    0.308917
         0.319093    0.402802    0.446684


 k=(    0.444444    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149666   -0.001052    0.093754    0.128136    0.264888
         0.361785    0.395653    0.409421


 k=(    0.333333    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164639    0.017878    0.095587    0.147517    0.304346
         0.337080    0.383678    0.401194


 k=(    0.222222    0.222222    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169432    0.026841    0.085212    0.166315    0.303688
         0.364728    0.374783    0.419055


 k=(    0.111111    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163617    0.011822    0.100895    0.146664    0.310877
         0.335966    0.378023    0.407315


 k=(    0.000000    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147502   -0.009117    0.094898    0.132983    0.270624
         0.356048    0.397570    0.412257


 k=(   -0.111111    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122438   -0.030790    0.069178    0.113229    0.291022
         0.346657    0.390280    0.479095


 k=(   -0.222222    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.093424   -0.055019    0.059245    0.085566    0.343709
         0.355315    0.374633    0.436208


 k=(    0.666667    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.097549   -0.048786    0.061522    0.080910    0.346071
         0.350039    0.373356    0.440552


 k=(    0.555556    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125939   -0.022158    0.070717    0.105885    0.286352
         0.351666    0.385261    0.480627


 k=(    0.444444    0.111111    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133915   -0.013406    0.092961    0.111506    0.241157
         0.283571    0.478321    0.480869


 k=(    0.333333    0.111111    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153755    0.012443    0.095193    0.118978    0.273442
         0.310522    0.402765    0.466289


 k=(    0.222222    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163589    0.011511    0.101807    0.146041    0.310474
         0.335205    0.378639    0.409062


 k=(    0.111111    0.111111    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163012   -0.008657    0.128771    0.164605    0.292700
         0.338561    0.348909    0.472759


 k=(    0.000000    0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152472   -0.026483    0.133391    0.154505    0.287826
         0.333141    0.355789    0.449994


 k=(   -0.111111    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133331   -0.037374    0.089777    0.141345    0.310581
         0.328709    0.400403    0.440717


 k=(   -0.222222    0.111111    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108137   -0.047599    0.056390    0.116495    0.300710
         0.373506    0.424561    0.444465


 k=(    0.666667    0.111111    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.083653   -0.066857    0.057417    0.097683    0.282995
         0.337839    0.447237    0.458979


 k=(    0.555556    0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105953   -0.045299    0.084654    0.091508    0.267531
         0.278609    0.465141    0.535449


 k=(    0.444444    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.108900   -0.046775    0.103233    0.106872    0.228437
         0.243915    0.544598    0.545102


 k=(    0.333333    0.000000    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132762   -0.016959    0.092066    0.115203    0.244236
         0.279978    0.479887    0.485020


 k=(    0.222222    0.000000    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147395   -0.009747    0.096560    0.132040    0.269257
         0.357129    0.397358    0.413954


 k=(    0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152411   -0.026707    0.134673    0.153440    0.287352
         0.331572    0.358001    0.451119


 k=(    0.000000    0.000000    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.148644   -0.042577    0.160060    0.169131    0.262148
         0.326409    0.337163    0.491925


 k=(   -0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137975   -0.048175    0.125659    0.158289    0.287065
         0.332372    0.348736    0.505689


 k=(    0.222222    0.000000    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122507   -0.045137    0.077908    0.137674    0.274763
         0.388982    0.399607    0.428463


 k=(    0.333333    0.000000    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.102679   -0.051273    0.059866    0.119116    0.252254
         0.337268    0.468607    0.474210


 k=(    0.555556    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.078476   -0.077365    0.081256    0.108247    0.239501
         0.264778    0.538561    0.551411


 k=(    0.444444   -0.111111    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.084111   -0.071573    0.084953    0.104555    0.234725
         0.269326    0.541742    0.551728


 k=(    0.333333   -0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103601   -0.049508    0.084204    0.094375    0.265844
         0.279576    0.471763    0.536103


 k=(    0.222222   -0.111111    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122131   -0.031678    0.069957    0.113223    0.289556
         0.347962    0.391347    0.479272


 k=(    0.111111   -0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133165   -0.037754    0.089735    0.141734    0.309837
         0.329371    0.400207    0.441879


 k=(    0.000000   -0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137917   -0.048242    0.124475    0.159653    0.287521
         0.333933    0.346262    0.505541


 k=(    0.111111    0.111111    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.138154   -0.047980    0.130463    0.152822    0.285867
         0.330285    0.353446    0.506321


 k=(    0.222222    0.111111    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133851   -0.036789    0.095364    0.134737    0.313950
         0.321066    0.407413    0.441287


 k=(    0.333333    0.111111    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123244   -0.029374    0.072700    0.108562    0.290728
         0.347840    0.386360    0.483787


 k=(    0.444444    0.111111    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105167   -0.046753    0.084806    0.092218    0.266953
         0.278932    0.467492    0.535855


 k=(    0.555556    0.222222    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107506   -0.043141    0.060396    0.115271    0.247609
         0.341743    0.466891    0.471875


 k=(    0.333333   -0.222222    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.088830   -0.060832    0.060607    0.093661    0.278257
         0.342443    0.448232    0.458741


 k=(    0.222222   -0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.092357   -0.056558    0.059052    0.086288    0.344308
         0.355081    0.375079    0.435351


 k=(    0.111111   -0.222222    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.107763   -0.048135    0.055889    0.117149    0.302188
         0.371761    0.424119    0.444564


 k=(    0.000000    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122419   -0.045103    0.076693    0.138744    0.276221
         0.388454    0.397626    0.428198


 k=(    0.111111    0.222222    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133846   -0.036654    0.093965    0.136105    0.313705
         0.322506    0.405713    0.440280


 k=(    0.222222    0.222222    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139158   -0.021640    0.074184    0.147348    0.284873
         0.388292    0.391058    0.464107


 k=(    0.333333    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136453   -0.012569    0.062916    0.127525    0.315589
         0.353307    0.384293    0.457795


 k=(    0.444444    0.222222    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125405   -0.023440    0.069403    0.108329    0.285805
         0.351642    0.387929    0.477877


 k=(    0.555556    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128118   -0.032857    0.075273    0.133558    0.270060
         0.385931    0.396244    0.434508


 k=(    0.333333    0.666667    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114057   -0.036414    0.056699    0.110432    0.296333
         0.367915    0.431055    0.448196


 k=(    0.222222    0.666667    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.096832   -0.049912    0.060976    0.081910    0.344985
         0.351750    0.373604    0.439643


 k=(    0.111111    0.666667    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.082092   -0.068552    0.056668    0.098525    0.284297
         0.336620    0.447319    0.458706


 k=(    0.000000    0.333333    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.102601   -0.051147    0.058676    0.119960    0.253649
         0.336087    0.467519    0.473759


 k=(    0.111111    0.333333    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123271   -0.029059    0.071174    0.109775    0.291966
         0.346538    0.386541    0.482352


 k=(    0.222222    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136473   -0.012479    0.062847    0.127496    0.315709
         0.352930    0.384606    0.458045


 k=(    0.333333    0.333333    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141153   -0.014451    0.068535    0.148209    0.285076
         0.382631    0.384138    0.470154


 k=(    0.444444    0.333333    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137819   -0.026207    0.087740    0.136428    0.306866
         0.323335    0.398961    0.446857


 k=(    0.444444    0.555556    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143521   -0.035840    0.123535    0.153716    0.283272
         0.328613    0.344755    0.501148


 k=(    0.333333    0.555556    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138011   -0.026040    0.090511    0.133230    0.307764
         0.320179    0.402667    0.447781


 k=(    0.222222    0.555556    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125741   -0.022827    0.071410    0.105801    0.284925
         0.353159    0.386199    0.480744


 k=(    0.111111    0.555556    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105705   -0.045730    0.084049    0.092344    0.266683
         0.279403    0.466261    0.535481


 k=(    0.000000    0.555556    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.079464   -0.076276    0.080298    0.108985    0.240823
         0.263606    0.537595    0.551236


 k=(    0.111111    0.444444    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105313   -0.046456    0.084191    0.092631    0.266417
         0.279548    0.467437    0.535664


 k=(    0.222222    0.444444    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125475   -0.023465    0.070729    0.107040    0.284671
         0.353134    0.387539    0.479332


 k=(    0.333333    0.444444    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137853   -0.026287    0.089040    0.135065    0.306829
         0.322232    0.400714    0.447877


 k=(    0.444444    0.444444    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143468   -0.035900    0.122143    0.155321    0.283734
         0.329989    0.342427    0.501107


 k=(    0.444444    0.444444    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155894   -0.016242    0.130909    0.150324    0.283724
         0.329355    0.351646    0.454678


 k=(    0.333333    0.444444    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165244    0.000190    0.122442    0.165161    0.289828
         0.335664    0.341499    0.475883


 k=(    0.222222    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164789    0.018347    0.097306    0.144989    0.304807
         0.334403    0.384423    0.404722


 k=(    0.111111    0.444444    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154002    0.013879    0.094609    0.118034    0.273640
         0.310804    0.401368    0.466702


 k=(    0.000000    0.444444    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133201   -0.015305    0.089609    0.116050    0.245470
         0.279249    0.479039    0.482458


 k=(   -0.111111    0.444444    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104552   -0.047805    0.083593    0.094013    0.265898
         0.279802    0.469519    0.535941


 k=(   -0.222222    0.444444    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.089975   -0.059388    0.061360    0.092606    0.277034
         0.343676    0.449396    0.457781


 k=(    0.666667    0.444444    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114250   -0.036044    0.056782    0.110243    0.294845
         0.370478    0.432307    0.446761


 k=(    0.555556    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138109   -0.025618    0.089277    0.134172    0.308804
         0.320381    0.400948    0.445761


 k=(    0.444444    0.333333    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165345    0.000487    0.123796    0.163158    0.289508
         0.335412    0.342739    0.475630


 k=(    0.333333    0.333333    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.179956    0.017492    0.165428    0.170025    0.265768
         0.329472    0.334652    0.490744


 k=(    0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184130    0.039432    0.149048    0.150886    0.287485
         0.330614    0.364859    0.405024


 k=(    0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177347    0.049579    0.122921    0.130336    0.258632
         0.324891    0.404630    0.417087


 k=(    0.000000    0.333333    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159804    0.022409    0.115979    0.121803    0.233466
         0.280591    0.469578    0.469775


 k=(   -0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133001   -0.016615    0.097149    0.110277    0.239473
         0.284372    0.480993    0.485832


 k=(   -0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.105507   -0.047361    0.064118    0.113988    0.246100
         0.342962    0.472598    0.473834


 k=(    0.666667    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.113790   -0.036124    0.048696    0.126519    0.260436
         0.422334    0.445170    0.458715


 k=(    0.555556    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141793   -0.012878    0.070033    0.145327    0.282337
         0.384272    0.386876    0.469619


 k=(    0.444444    0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164956    0.019221    0.097524    0.143719    0.306106
         0.333272    0.383822    0.404406


 k=(    0.333333    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184174    0.039812    0.147099    0.152353    0.287877
         0.331818    0.363323    0.403748


 k=(    0.222222    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192886    0.061208    0.130107    0.182529    0.301667
         0.331813    0.343423    0.428948


 k=(    0.111111    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190426    0.068444    0.120693    0.162153    0.293321
         0.343529    0.367198    0.388891


 k=(    0.000000    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176848    0.045021    0.121115    0.136665    0.261648
         0.321075    0.406676    0.419206


 k=(   -0.111111    0.222222    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153116    0.009245    0.094913    0.122633    0.272163
         0.310650    0.406594    0.466406


 k=(   -0.222222    0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123460   -0.029094    0.073795    0.107951    0.284144
         0.353729    0.389928    0.482811


 k=(    0.666667    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.112092   -0.040961    0.059640    0.110142    0.294605
         0.374913    0.427904    0.446672


 k=(    0.555556    0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137461   -0.009257    0.062823    0.124923    0.312876
         0.354255    0.384566    0.458716


 k=(    0.444444    0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154200    0.014940    0.094666    0.116880    0.274209
         0.310537    0.400053    0.466811


 k=(    0.333333    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177391    0.050155    0.120950    0.131625    0.259415
         0.324341    0.404274    0.416167


 k=(    0.222222    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190421    0.068306    0.120819    0.162224    0.293365
         0.343600    0.366986    0.388698


 k=(    0.111111    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192330    0.054803    0.136636    0.180966    0.304774
         0.338633    0.343310    0.424772


 k=(    0.000000    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183025    0.031758    0.148597    0.157985    0.292629
         0.335465    0.365891    0.398122


 k=(   -0.111111    0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163132    0.010041    0.097842    0.152273    0.307974
         0.341566    0.378025    0.402930


 k=(   -0.222222    0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134956   -0.016980    0.062469    0.131467    0.319247
         0.351891    0.384169    0.457562


 k=(   -0.333333    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110401   -0.043526    0.056504    0.114241    0.301355
         0.366965    0.425532    0.447140


 k=(    0.555556    0.111111    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.124661   -0.025412    0.070246    0.108236    0.291130
         0.347242    0.384764    0.481649


 k=(    0.444444    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133367   -0.014868    0.090094    0.115323    0.244654
         0.280030    0.477996    0.482592


 k=(    0.333333    0.000000    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159779    0.022181    0.117036    0.121037    0.233608
         0.280341    0.469420    0.469772


 k=(    0.222222    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176780    0.044152    0.123012    0.135866    0.261022
         0.321238    0.406707    0.420385


 k=(    0.111111    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182969    0.031327    0.149453    0.157748    0.292273
         0.333796    0.367734    0.399376


 k=(    0.000000    0.000000    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178117    0.008602    0.166628    0.175730    0.269636
         0.331313    0.341724    0.491542


 k=(   -0.111111    0.000000    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162685   -0.009544    0.124820    0.170476    0.293523
         0.337839    0.346800    0.472834


 k=(   -0.222222    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138137   -0.023825    0.071680    0.151757    0.288536
         0.384207    0.389055    0.464698


 k=(   -0.333333    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.109296   -0.044117    0.046714    0.132229    0.266720
         0.415433    0.438915    0.463374


 k=(    0.555556    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104481   -0.047961    0.058121    0.119247    0.252408
         0.337211    0.465621    0.473205


 k=(    0.444444   -0.111111    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104401   -0.048106    0.084090    0.093718    0.266396
         0.279223    0.469579    0.536135


 k=(    0.333333   -0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132730   -0.017455    0.096827    0.111273    0.240380
         0.283323    0.481174    0.486570


 k=(    0.222222   -0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152866    0.007936    0.095380    0.123556    0.271984
         0.310364    0.407912    0.466320


 k=(    0.111111   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162938    0.009098    0.097907    0.153346    0.306886
         0.342392    0.378606    0.403295


 k=(    0.000000   -0.111111    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162572   -0.009869    0.123861    0.172063    0.293885
         0.337996    0.345644    0.473874


 k=(   -0.111111   -0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152248   -0.027308    0.140466    0.148115    0.286030
         0.328671    0.362719    0.454684


 k=(   -0.222222   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133387   -0.037818    0.094803    0.136254    0.310379
         0.324326    0.406607    0.445199


 k=(   -0.333333   -0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108585   -0.047211    0.058485    0.114139    0.301111
         0.370238    0.422496    0.447631


 k=(    0.555556   -0.111111    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.083396   -0.067172    0.057489    0.097689    0.282976
         0.337790    0.448017    0.458423


 k=(    0.444444   -0.222222    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.088686   -0.061035    0.060687    0.093659    0.278241
         0.342386    0.449160    0.458040


 k=(    0.333333   -0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104365   -0.049258    0.063856    0.115019    0.247305
         0.341733    0.472431    0.474595


 k=(    0.222222   -0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122675   -0.030975    0.073575    0.109419    0.285128
         0.352537    0.391037    0.482508


 k=(    0.111111   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134412   -0.018596    0.062593    0.132592    0.320792
         0.351365    0.383890    0.457175


 k=(    0.000000   -0.222222    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.137786   -0.024606    0.071062    0.152978    0.290015
         0.382935    0.388093    0.465348


 k=(   -0.111111   -0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133216   -0.038063    0.093390    0.137982    0.309632
         0.326187    0.404724    0.445341


 k=(   -0.222222   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122826   -0.045130    0.082076    0.133677    0.271006
         0.391010    0.403927    0.430087


 k=(    0.333333    0.222222    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109668   -0.045665    0.060483    0.111614    0.297232
         0.374786    0.423393    0.448087


 k=(    0.444444    0.222222    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.095831   -0.051524    0.060922    0.082661    0.346737
         0.350133    0.374227    0.438976


 k=(    0.444444    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113800   -0.036749    0.055684    0.111720    0.296092
         0.369750    0.431887    0.446562


 k=(    0.333333    0.666667    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.112915   -0.037786    0.048354    0.127705    0.261713
         0.420650    0.443798    0.459534


 k=(    0.222222    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110825   -0.043345    0.059438    0.111558    0.295809
         0.375745    0.426168    0.446188


 k=(    0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109070   -0.045932    0.056430    0.115459    0.302659
         0.367681    0.424098    0.446357


 k=(    0.000000   -0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.108328   -0.045732    0.046399    0.133158    0.268134
         0.414051    0.437541    0.465293


 k=(   -0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108127   -0.047795    0.057404    0.115402    0.302546
         0.369338    0.422579    0.446582


 k=(    0.222222    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109582   -0.045715    0.059888    0.112238    0.297177
         0.375648    0.423877    0.446951


 k=(    0.333333    0.333333    0.666667):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.112018   -0.039464    0.048081    0.128771    0.263090
         0.418863    0.442328    0.460884


 k=(    0.444444    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113482   -0.037278    0.055158    0.112463    0.297567
         0.368011    0.430946    0.447253


 k=(    0.444444    0.555556    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137949   -0.025863    0.087823    0.136010    0.307738
         0.322521    0.399063    0.445836


 k=(    0.333333    0.555556    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141475   -0.013651    0.069225    0.146835    0.283643
         0.383205    0.385804    0.469671


 k=(    0.222222    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136979   -0.010820    0.062753    0.126257    0.314233
         0.353535    0.384704    0.458489


 k=(    0.111111    0.555556    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123987   -0.027073    0.069939    0.109630    0.292160
         0.346216    0.385760    0.481283


 k=(    0.000000    0.555556    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103529   -0.049460    0.057801    0.120026    0.253725
         0.336050    0.465990    0.473312


 k=(   -0.111111    0.555556    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.081971   -0.068694    0.056695    0.098527    0.284290
         0.336603    0.447605    0.458504


 k=(    0.222222    0.444444    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.095973   -0.051271    0.060716    0.082729    0.345461
         0.351662    0.374043    0.438828


 k=(    0.333333    0.444444    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113619   -0.037094    0.055642    0.111828    0.297706
         0.367100    0.430568    0.447919


 k=(    0.555556    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128006   -0.032873    0.073972    0.134787    0.271485
         0.385173    0.394437    0.434304


 k=(    0.444444    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149733   -0.000504    0.092025    0.129259    0.266249
         0.360338    0.396089    0.407817


 k=(    0.333333    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164810    0.018812    0.095611    0.146382    0.305532
         0.336026    0.383079    0.400935


 k=(    0.222222    0.444444    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169705    0.028584    0.084910    0.164766    0.302280
         0.366317    0.374105    0.419599


 k=(    0.111111    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164007    0.013939    0.099869    0.145727    0.310658
         0.335163    0.378560    0.405935


 k=(    0.000000    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148039   -0.006923    0.092897    0.133192    0.270732
         0.356014    0.397206    0.410329


 k=(   -0.111111    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123162   -0.028842    0.068013    0.113077    0.291176
         0.346341    0.389544    0.477967


 k=(   -0.222222    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.094309   -0.053731    0.059535    0.084836    0.343379
         0.355079    0.374330    0.437165


 k=(    0.666667    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.097472   -0.048931    0.061660    0.080855    0.347689
         0.348286    0.373447    0.440647


 k=(    0.555556    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125889   -0.022066    0.069312    0.107179    0.287584
         0.350078    0.385663    0.479191


 k=(    0.444444    0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164968    0.019474    0.096626    0.144435    0.306485
         0.334058    0.383130    0.402564


 k=(    0.333333    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184221    0.040225    0.145710    0.153205    0.288262
         0.333300    0.361514    0.402506


 k=(    0.222222    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192968    0.061924    0.130827    0.180541    0.301379
         0.333593    0.342429    0.428557


 k=(    0.111111    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190548    0.070182    0.120218    0.160519    0.293740
         0.343034    0.366535    0.389172


 k=(    0.000000    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177017    0.046833    0.119016    0.136784    0.261855
         0.321397    0.405909    0.417653


 k=(   -0.111111    0.333333    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153341    0.010428    0.094538    0.121782    0.272504
         0.310659    0.405297    0.466393


 k=(   -0.222222    0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123732   -0.028501    0.074540    0.106716    0.284369
         0.353726    0.388663    0.484175


 k=(    0.666667    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.112184   -0.040890    0.060244    0.109490    0.294662
         0.374002    0.427397    0.447928


 k=(    0.555556    0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137450   -0.009313    0.062869    0.124939    0.312817
         0.354476    0.384366    0.458580


 k=(    0.444444    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169975    0.030301    0.084739    0.163069    0.301053
         0.367740    0.373546    0.420106


 k=(    0.333333    0.222222    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.193049    0.062590    0.131787    0.178346    0.301174
         0.335910    0.340847    0.428280


 k=(    0.222222    0.222222    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205872    0.086460    0.176999    0.181748    0.279017
         0.328028    0.332507    0.438874


 k=(    0.111111    0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207410    0.108004    0.160521    0.168107    0.285368
         0.332391    0.359309    0.385706


 k=(    0.000000    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197526    0.094414    0.142237    0.149380    0.254359
         0.336379    0.397163    0.398119


 k=(   -0.111111    0.222222    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176850    0.044453    0.128860    0.130133    0.257939
         0.323683    0.407119    0.421690


 k=(   -0.222222    0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148068   -0.007989    0.101579    0.126257    0.263203
         0.362269    0.397648    0.416521


 k=(   -0.333333    0.222222    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.125305   -0.040036    0.081576    0.131543    0.268440
         0.389921    0.403420    0.432843


 k=(    0.555556    0.222222    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.140642   -0.017237    0.073520    0.144830    0.282208
         0.386921    0.391652    0.466430


 k=(    0.444444    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164366    0.015745    0.099889    0.143999    0.310254
         0.333454    0.379710    0.406286


 k=(    0.333333    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190664    0.071766    0.120078    0.158742    0.294271
         0.342520    0.365720    0.389311


 k=(    0.222222    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207433    0.108613    0.161573    0.166254    0.285660
         0.333161    0.358178    0.385017


 k=(    0.111111    0.111111    0.222222):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213045    0.121782    0.157145    0.195705    0.312773
         0.317127    0.322972    0.399143


 k=(    0.000000    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207137    0.100937    0.165593    0.170635    0.287358
         0.334452    0.358970    0.384558


 k=(   -0.111111    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190062    0.064033    0.120844    0.167628    0.291978
         0.343826    0.370070    0.388809


 k=(   -0.222222    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163483    0.011447    0.098807    0.150326    0.303952
         0.338472    0.382772    0.408166


 k=(   -0.333333    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135117   -0.033526    0.092174    0.136538    0.307376
         0.324837    0.404001    0.447930


 k=(    0.555556    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135830   -0.031837    0.092952    0.134151    0.312525
         0.320114    0.404982    0.441953


 k=(    0.444444    0.000000    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148462   -0.005370    0.092562    0.132445    0.269483
         0.357156    0.396461    0.410171


 k=(    0.333333    0.000000    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177117    0.047732    0.118889    0.136060    0.261447
         0.321908    0.405096    0.417351


 k=(    0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197520    0.094041    0.143553    0.148528    0.254435
         0.336154    0.397227    0.397870


 k=(    0.111111    0.000000    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207108    0.100178    0.165161    0.172167    0.287119
         0.333553    0.359989    0.384990


 k=(    0.000000    0.000000    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205254    0.077741    0.179181    0.188599    0.283564
         0.328417    0.336846    0.435085


 k=(   -0.111111    0.000000    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192077    0.052983    0.133765    0.187443    0.305129
         0.332347    0.347759    0.425543


 k=(   -0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168605    0.022147    0.085417    0.171322    0.306958
         0.361220    0.376652    0.417545


 k=(   -0.333333    0.000000    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138985   -0.020980    0.069507    0.152121    0.288609
         0.381217    0.386883    0.467505


 k=(    0.555556    0.000000    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124755   -0.040091    0.074714    0.138135    0.274945
         0.386087    0.395846    0.430782


 k=(    0.444444   -0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123568   -0.027822    0.067693    0.112881    0.289855
         0.347366    0.389881    0.476984


 k=(    0.333333   -0.111111    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153317    0.010252    0.094748    0.121784    0.272670
         0.310390    0.405345    0.466202


 k=(    0.222222   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176726    0.043269    0.128820    0.131432    0.258503
         0.322790    0.407562    0.422291


 k=(    0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189933    0.062398    0.121383    0.169150    0.291681
         0.343829    0.370942    0.388688


 k=(    0.000000   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.191990    0.052292    0.133234    0.189231    0.305468
         0.330634    0.348712    0.425960


 k=(   -0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182816    0.030215    0.151200    0.157564    0.291167
         0.330130    0.371983    0.403297


 k=(   -0.222222   -0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163042    0.009009    0.100946    0.149998    0.306634
         0.338016    0.380635    0.410276


 k=(   -0.333333   -0.111111    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134924   -0.017116    0.062567    0.131517    0.319005
         0.352540    0.383697    0.457111


 k=(   -0.444444   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109869   -0.044126    0.054569    0.116627    0.300792
         0.370370    0.427441    0.444634


 k=(    0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.094150   -0.053999    0.059719    0.084787    0.343903
         0.354256    0.374565    0.437305


 k=(    0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123226   -0.029808    0.075067    0.106976    0.285591
         0.352505    0.388549    0.485128


 k=(    0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147596   -0.009680    0.101759    0.127354    0.264367
         0.360927    0.398094    0.417168


 k=(    0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163097    0.009570    0.099090    0.151840    0.304558
         0.339873    0.381624    0.407853


 k=(    0.000000   -0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168320    0.020506    0.085751    0.172718    0.308431
         0.359665    0.377536    0.416945


 k=(   -0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162877    0.008378    0.100132    0.151659    0.305939
         0.339615    0.380579    0.408912


 k=(   -0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147125   -0.011328    0.102042    0.128256    0.265619
         0.359571    0.398733    0.417602


 k=(   -0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122446   -0.031658    0.074831    0.108407    0.286659
         0.351267    0.389669    0.484811


 k=(   -0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.093153   -0.055464    0.059529    0.085496    0.344608
         0.353927    0.375025    0.436424


 k=(    0.444444    0.666667    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.096617   -0.050308    0.061323    0.081785    0.347243
         0.349106    0.373876    0.439888


 k=(    0.333333    0.666667    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.111004   -0.043225    0.060636    0.110284    0.295921
         0.373969    0.425177    0.448586


 k=(   -0.222222    0.333333   -0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124094   -0.042567    0.081787    0.132686    0.269670
         0.390340    0.403804    0.431501


 k=(    0.111111   -0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134098   -0.035914    0.092089    0.138142    0.308085
         0.326454    0.403413    0.446729


 k=(    0.000000   -0.333333    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138219   -0.023191    0.069993    0.153163    0.290050
         0.381401    0.387014    0.466877


 k=(   -0.111111   -0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134400   -0.018646    0.062628    0.132611    0.320690
         0.351618    0.383718    0.456999


 k=(   -0.222222   -0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122167   -0.032232    0.074083    0.109616    0.286421
         0.351295    0.390892    0.483558


 k=(   -0.333333   -0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103191   -0.051147    0.063629    0.115930    0.248597
         0.340466    0.473304    0.474328


 k=(   -0.444444   -0.333333    0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.087421   -0.062591    0.060014    0.094614    0.279533
         0.341075    0.448520    0.458582


 k=(    0.444444    0.555556    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125621   -0.022710    0.068679    0.108386    0.287290
         0.350083    0.386987    0.477855


 k=(    0.333333    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136949   -0.010967    0.062869    0.126301    0.314060
         0.354130    0.384186    0.458108


 k=(    0.222222    0.555556    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139910   -0.019435    0.073812    0.146160    0.283476
         0.387347    0.391635    0.465164


 k=(    0.111111    0.555556    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134853   -0.034168    0.092736    0.135860    0.312799
         0.322185    0.404463    0.440683


 k=(    0.000000    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.123575   -0.042556    0.075105    0.138978    0.276310
         0.386924    0.395737    0.429468


 k=(    0.111111    0.444444   -0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108674   -0.046352    0.054973    0.117218    0.302237
         0.370165    0.425576    0.444577


 k=(    0.222222    0.444444   -0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.092247   -0.056731    0.059155    0.086265    0.344652
         0.354548    0.375233    0.435430


 k=(    0.333333    0.444444   -0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.087522   -0.062453    0.059966    0.094614    0.279544
         0.341109    0.447987    0.458974


 k=(    0.555556    0.555556    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107275   -0.043340    0.059304    0.116250    0.248977
         0.340438    0.465698    0.471687


 k=(    0.444444    0.444444    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133967   -0.013125    0.091688    0.112435    0.242312
         0.282552    0.478355    0.479608


 k=(    0.333333    0.444444    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153964    0.013576    0.095019    0.117982    0.273926
         0.310354    0.401437    0.466413


 k=(    0.222222    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163956    0.013316    0.101746    0.144420    0.309845
         0.333668    0.379815    0.409433


 k=(    0.111111    0.444444    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163559   -0.006658    0.128472    0.163339    0.291732
         0.336918    0.349307    0.472866


 k=(    0.000000    0.444444    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153235   -0.024249    0.131537    0.154968    0.287246
         0.333236    0.353592    0.450160


 k=(   -0.111111    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134346   -0.034886    0.088551    0.141137    0.309752
         0.328290    0.399157    0.441072


 k=(   -0.222222    0.444444    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109394   -0.045287    0.055938    0.115930    0.299233
         0.373709    0.426715    0.444047


 k=(    0.666667    0.444444    0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.085015   -0.065337    0.058132    0.096858    0.281645
         0.339112    0.447589    0.458851


 k=(    0.555556    0.444444    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105869   -0.045475    0.085101    0.091184    0.267914
         0.278178    0.465171    0.535561


 k=(    0.444444    0.333333    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154186    0.014824    0.094830    0.116853    0.274320
         0.310365    0.400078    0.466704


 k=(    0.333333    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177439    0.050845    0.119080    0.132671    0.260200
         0.323815    0.404233    0.414962


 k=(    0.222222    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190540    0.069948    0.120440    0.160626    0.293814
         0.343154    0.366182    0.388868


 k=(    0.111111    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192525    0.056709    0.136147    0.179340    0.303749
         0.338629    0.342816    0.425289


 k=(    0.000000    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183310    0.033762    0.146473    0.158203    0.291891
         0.336168    0.363792    0.398013


 k=(   -0.111111    0.333333    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163527    0.012146    0.096722    0.151475    0.307619
         0.340977    0.378532    0.401414


 k=(   -0.222222    0.333333    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135477   -0.015395    0.062339    0.130387    0.317513
         0.352832    0.384150    0.457788


 k=(   -0.333333    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110839   -0.042926    0.057546    0.112980    0.299868
         0.367881    0.425660    0.447993


 k=(    0.555556    0.333333    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.124656   -0.025681    0.071767    0.106995    0.289835
         0.348724    0.384476    0.483078


 k=(    0.444444    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164342    0.015432    0.100860    0.143310    0.309842
         0.332721    0.380352    0.408034


 k=(    0.333333    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190661    0.071673    0.120169    0.158779    0.294300
         0.342569    0.365582    0.389198


 k=(    0.222222    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207458    0.109355    0.162557    0.164314    0.285926
         0.334091    0.356951    0.384360


 k=(    0.111111    0.222222    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213099    0.123803    0.156559    0.193643    0.312081
         0.318932    0.321864    0.398998


 k=(    0.000000    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207224    0.103160    0.163581    0.170044    0.287201
         0.335034    0.357771    0.384133


 k=(   -0.111111    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190186    0.065643    0.120278    0.166230    0.292307
         0.343712    0.369131    0.388841


 k=(   -0.222222    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163646    0.012107    0.099589    0.148669    0.304608
         0.336846    0.382890    0.409574


 k=(   -0.333333    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135281   -0.033280    0.093602    0.134788    0.308051
         0.323019    0.405953    0.447793


 k=(    0.555556    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135841   -0.031965    0.094407    0.132724    0.312951
         0.318482    0.406822    0.442852


 k=(    0.444444    0.111111    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.164095   -0.004659    0.128357    0.161824    0.290864
         0.335934    0.349019    0.473619


 k=(    0.333333    0.111111    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192719    0.058619    0.135846    0.177476    0.302883
         0.339511    0.341354    0.425855


 k=(    0.222222    0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213152    0.125775    0.156341    0.191244    0.312131
         0.320050    0.320756    0.398806


 k=(    0.111111    0.111111    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222685    0.162994    0.191031    0.196224    0.293747
         0.311782    0.315370    0.365314


 k=(    0.000000    0.111111    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220648    0.163575    0.176759    0.187262    0.283108
         0.331961    0.335723    0.356944


 k=(   -0.111111    0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207154    0.101567    0.159981    0.176468    0.285393
         0.330991    0.362782    0.386982


 k=(   -0.222222    0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183295    0.033438    0.148895    0.157034    0.288994
         0.328880    0.371069    0.405580


 k=(   -0.333333    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153674   -0.023239    0.140147    0.145902    0.283968
         0.326669    0.361997    0.457094


 k=(    0.555556    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140537   -0.042906    0.130208    0.150428    0.283954
         0.328005    0.353075    0.504342


 k=(    0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153922   -0.022245    0.131001    0.154286    0.286262
         0.331694    0.353684    0.451363


 k=(    0.333333    0.000000    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183538    0.035340    0.145585    0.157766    0.290885
         0.335098    0.363610    0.399128


 k=(    0.222222    0.000000    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207281    0.104599    0.162301    0.169817    0.286858
         0.334655    0.357643    0.384140


 k=(    0.111111    0.000000    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220647    0.162488    0.178783    0.186432    0.283067
         0.332582    0.334985    0.356886


 k=(    0.000000    0.000000    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222553    0.152071    0.194845    0.205395    0.299402
         0.308612    0.314663    0.362753


 k=(   -0.111111    0.000000    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212881    0.117063    0.156859    0.202950    0.309996
         0.317425    0.325255    0.399500


 k=(   -0.222222    0.000000    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192303    0.055433    0.131286    0.188136    0.303766
         0.329554    0.347909    0.427257


 k=(   -0.333333    0.000000    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163565   -0.006152    0.121908    0.171488    0.292380
         0.335050    0.345052    0.474842


 k=(   -0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140253   -0.043220    0.122418    0.159330    0.286066
         0.331800    0.344747    0.503677


 k=(    0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135165   -0.032798    0.087319    0.141262    0.308396
         0.328377    0.397784    0.442424


 k=(    0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163728    0.013295    0.095720    0.151698    0.306273
         0.341230    0.379625    0.400135


 k=(    0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190180    0.065518    0.120388    0.166308    0.292345
         0.343767    0.368942    0.388642


 k=(    0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207091    0.099977    0.161275    0.176983    0.285787
         0.331219    0.362817    0.386719


 k=(    0.000000   -0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212825    0.115322    0.157465    0.204797    0.310054
         0.316442    0.326203    0.399523


 k=(   -0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207029    0.098480    0.162647    0.177278    0.286202
         0.331524    0.362824    0.386490


 k=(   -0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190053    0.063843    0.121005    0.167760    0.292035
         0.343909    0.369780    0.388484


 k=(   -0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163541    0.012323    0.095849    0.152728    0.305215
         0.342107    0.380195    0.400432


 k=(   -0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135012   -0.033173    0.087298    0.141634    0.307705
         0.329001    0.397653    0.443480


 k=(   -0.444444    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110217   -0.043595    0.055034    0.115992    0.299267
         0.372168    0.428158    0.444183


 k=(   -0.333333    0.222222   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135457   -0.015482    0.062404    0.130417    0.317379
         0.353225    0.383845    0.457518


 k=(   -0.222222    0.222222   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163426    0.010860    0.100687    0.148521    0.305906
         0.336648    0.381799    0.410627


 k=(   -0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183056    0.031808    0.149798    0.157593    0.290039
         0.329431    0.371612    0.404439


 k=(    0.000000    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192103    0.053493    0.132019    0.189592    0.304754
         0.329218    0.348816    0.426844


 k=(    0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189930    0.062330    0.121439    0.169202    0.291700
         0.343858    0.370837    0.388565


 k=(    0.222222    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176605    0.042165    0.129301    0.132092    0.259074
         0.321955    0.408195    0.422720


 k=(   -0.333333   -0.222222    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153077    0.008971    0.095232    0.122647    0.272422
         0.310227    0.406674    0.466092


 k=(   -0.444444   -0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123289   -0.028683    0.068470    0.112871    0.288352
         0.348806    0.390902    0.477038


 k=(    0.555556    0.333333   -0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.084881   -0.065507    0.058178    0.096860    0.281634
         0.339080    0.448094    0.458486


 k=(   -0.333333    0.333333   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109965   -0.044750    0.058554    0.112934    0.299740
         0.369492    0.424130    0.448278


 k=(   -0.222222    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134432   -0.035424    0.094930    0.134664    0.309495
         0.322789    0.407251    0.446449


 k=(   -0.111111    0.333333   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152969   -0.025277    0.139958    0.147396    0.284957
         0.327546    0.362487    0.455914


 k=(    0.000000    0.333333   -0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163016   -0.008180    0.122418    0.172586    0.293284
         0.336248    0.345125    0.474879


 k=(    0.111111    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163147    0.010233    0.096917    0.153577    0.305476
         0.342679    0.379672    0.402084


 k=(    0.222222    0.333333   -0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152852    0.007836    0.095493    0.123565    0.272080
         0.310208    0.407942    0.466200


 k=(    0.333333    0.333333   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132477   -0.018219    0.096541    0.112135    0.241321
         0.282289    0.481733    0.486955


 k=(    0.444444    0.333333   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103907   -0.048996    0.084493    0.093827    0.266423
         0.279048    0.470732    0.536279


 k=(    0.444444    0.555556    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105476   -0.046203    0.085103    0.091617    0.267606
         0.278352    0.466345    0.535783


 k=(    0.333333    0.555556    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123955   -0.027657    0.072987    0.107175    0.289629
         0.348996    0.385294    0.484147


 k=(    0.222222    0.555556    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134870   -0.034431    0.095586    0.133069    0.313377
         0.319205    0.408008    0.442585


 k=(    0.111111    0.555556    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139373   -0.045423    0.130207    0.151790    0.284867
         0.328970    0.353440    0.505315


 k=(    0.000000    0.444444   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139083   -0.045744    0.122860    0.160193    0.286990
         0.333681    0.344231    0.504559


 k=(    0.111111    0.444444   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134028   -0.035640    0.088488    0.141899    0.308330
         0.329565    0.398834    0.443286


 k=(    0.222222    0.444444   -0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122577   -0.030591    0.069570    0.113061    0.288206
         0.349086    0.391631    0.478198


 k=(    0.333333    0.444444   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103505   -0.049692    0.084494    0.094205    0.266138
         0.279234    0.471802    0.536220


 k=(    0.444444    0.444444   -0.111111):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.082577   -0.073240    0.084194    0.105419    0.236022
         0.268057    0.540734    0.551820


 k=(    0.444444    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.108813   -0.046955    0.104084    0.106162    0.228712
         0.243581    0.544758    0.544920


 k=(    0.333333    0.444444    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132951   -0.016433    0.092451    0.114498    0.243347
         0.280854    0.478919    0.485049


 k=(    0.222222    0.444444    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147836   -0.008182    0.096195    0.131336    0.267954
         0.358388    0.396532    0.413802


 k=(    0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153120   -0.024696    0.134003    0.152935    0.286284
         0.330060    0.358103    0.452363


 k=(    0.000000    0.444444    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.149637   -0.040271    0.158546    0.169600    0.261336
         0.324297    0.337391    0.491000


 k=(   -0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139198   -0.045614    0.125173    0.157519    0.286060
         0.330570    0.349193    0.504762


 k=(    0.222222    0.555556    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.123756   -0.042614    0.077515    0.136860    0.273347
         0.388055    0.399760    0.429886


 k=(    0.333333    0.555556    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103733   -0.049624    0.060125    0.118354    0.250895
         0.338496    0.468005    0.474282


 k=(    0.555556    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.079709   -0.076171    0.082126    0.107523    0.238141
         0.266011    0.539617    0.551496


 k=(    0.444444    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133252   -0.015396    0.091472    0.114555    0.243552
         0.280890    0.477957    0.483859


 k=(    0.333333    0.333333    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159764    0.022045    0.117956    0.120291    0.233694
         0.280190    0.469385    0.469709


 k=(    0.222222    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176885    0.045091    0.122739    0.135239    0.260542
         0.321851    0.405854    0.420127


 k=(    0.111111    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183202    0.032889    0.148148    0.157763    0.291169
         0.332785    0.367582    0.400498


 k=(    0.000000    0.333333    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178494    0.010369    0.165019    0.176110    0.268752
         0.329257    0.341962    0.491051


 k=(   -0.111111    0.333333    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163239   -0.007527    0.124297    0.169447    0.292536
         0.336005    0.347385    0.472819


 k=(   -0.222222    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138910   -0.021610    0.071191    0.150740    0.287037
         0.383656    0.389292    0.465443


 k=(   -0.333333    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.110249   -0.042469    0.046971    0.131316    0.265261
         0.417048    0.440396    0.461406


 k=(    0.555556    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104604   -0.048000    0.059254    0.118419    0.250972
         0.338476    0.466572    0.473702


 k=(    0.444444    0.222222    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148366   -0.006000    0.094200    0.131531    0.268072
         0.358454    0.395995    0.411945


 k=(    0.333333    0.222222    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177053    0.046861    0.120728    0.135300    0.260758
         0.322200    0.405008    0.418648


 k=(    0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197516    0.093821    0.144639    0.147717    0.254481
         0.336021    0.397379    0.397606


 k=(    0.111111    0.222222    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207167    0.101581    0.163555    0.172292    0.286731
         0.333153    0.359927    0.385067


 k=(    0.000000    0.222222    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205379    0.079450    0.177333    0.188795    0.282513
         0.326950    0.337396    0.435838


 k=(   -0.111111    0.222222    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192276    0.054910    0.133022    0.186054    0.304040
         0.332470    0.347133    0.425964


 k=(   -0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168888    0.023847    0.085017    0.169952    0.305408
         0.362895    0.375766    0.418151


 k=(   -0.333333    0.222222    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139326   -0.020178    0.070086    0.150918    0.287074
         0.382230    0.388167    0.466728


 k=(    0.555556    0.222222    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124848   -0.040115    0.075909    0.137086    0.273439
         0.386682    0.397891    0.430940


 k=(    0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153867   -0.022468    0.132201    0.153302    0.285775
         0.330088    0.355979    0.452442


 k=(    0.333333    0.111111    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183485    0.034897    0.146448    0.157520    0.290520
         0.333383    0.365558    0.400358


 k=(    0.222222    0.111111    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207253    0.103776    0.162514    0.170731    0.286626
         0.333670    0.358783    0.384642


 k=(    0.111111    0.111111    0.000000):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220646    0.161926    0.180114    0.185727    0.283042
         0.333356    0.334142    0.356851


 k=(    0.000000    0.111111    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222579    0.154110    0.192582    0.205307    0.297997
         0.308242    0.316001    0.363263


 k=(   -0.111111    0.111111    0.000000):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212937    0.118957    0.156047    0.201200    0.309629
         0.318887    0.324114    0.399458


 k=(   -0.222222    0.111111    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192389    0.056160    0.131756    0.186386    0.303393
         0.331111    0.347159    0.426792


 k=(   -0.333333    0.111111    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163675   -0.005824    0.122829    0.169935    0.291995
         0.334877    0.346243    0.473818


 k=(   -0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140309   -0.043156    0.123552    0.158015    0.285592
         0.330263    0.347223    0.503742


 k=(   -0.444444    0.000000    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.150597   -0.037987    0.157586    0.169432    0.260578
         0.323068    0.336766    0.490121


 k=(   -0.333333    0.000000    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178867    0.012148    0.163957    0.175860    0.267929
         0.328053    0.341366    0.491121


 k=(   -0.222222    0.000000    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205503    0.081186    0.176026    0.188363    0.281540
         0.326169    0.337249    0.436587


 k=(   -0.111111    0.000000    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222606    0.156266    0.190778    0.204595    0.296717
         0.308457    0.316680    0.363762


 k=(    0.000000    0.000000    0.000000):       259 3-d basis functions
 the   8 eigenvalues are:
        -0.228431    0.198309    0.203900    0.215992    0.293993
         0.300755    0.304267    0.321009


 fermi energy and band-weighting factors:

FERMIE:
          first approx. to ef    (T=0)  :  0.215992 htr   (energy of the highest occ. eigenvalue)
          number of occ. states  (T=0)  :      1460
          first approx. to seigv (T=0)  :  0.176433 htr
          sum of weights of occ. states :  4.000000
          sum of semicore eigenvalues   :  0.000000 htr
          sum of semicore charge        :  0.000000 e



FERHIS:  Fermi-Energy by histogram:

          bandgap                     :   0.012008 htr
          charge neutrality (T=0)     :   0.000000    (zero if the highest occ. eigenvalue is "entirely" occupied)

     EF_NEWTON:  Adjust Fermi-Energy by Newton-Method.

               Number of iterations needed  :   4
               The error in the weight is   :  0.81881E-14
               The error in ef is           : -0.58828E-12 htr


     -->  new fermi energy            :   0.221268 htr
          valence charge              :   8.000000 e 
          actual charge blw ef-8kt    :   7.997257 e 
          actual charge blw ef+8kt    :   8.000000 e 
          number of occ. states       :      1463
          sum of the valence weights  :   4.000000
          entropy         :   0.000200 *kb htr/K =   0.00000 htr/K

          sum of val. single particle energies:         0.1764332700 htr



          valence density: spin= 1

     l-like charge
     atom     s        p        d        f        total
 --> 1    0.89050  1.17095  0.08212  0.00603    2.15119
 --> 2    0.89050  1.17095  0.08212  0.00603    2.15119
 Energy Parameters for spin:           1
 Max. mismatch of energy parameters:    0.000000

     energy parameters for window 1
     atom     s        p        d        f
 -->  1   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0
 -->  2   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0

          total charge for spin  1=    8.000000
          interst. charge =       3.697620
          mt charge=              2.151190    2.151190

          total charge  =    8.000000


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.2037        2.
               2.   0.   0.5   -4.7107        2.
               2.   1.   0.5   -3.1110        2.
               2.   1.   1.5   -3.0872        4.
          atom type  1  (spin 1) 
          kinetic energy=  0.285372374745E+03     sum of the eigenvalues= -0.158399838010E+03
          0.00178911  electrons lost from core.


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.2037        2.
               2.   0.   0.5   -4.7107        2.
               2.   1.   0.5   -3.1110        2.
               2.   1.   1.5   -3.0872        4.
          atom type  2  (spin 1) 
          kinetic energy=  0.285372374769E+03     sum of the eigenvalues= -0.158399838098E+03
          0.00178911  electrons lost from core.

          alpha=   1.39394     acoff=   0.09674

          alpha=   1.39394     acoff=   0.09674

          total charge for spin  1=   28.000000
          interst. charge =       3.701098
          mt charge=             12.149451   12.149451

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701098
          mt charge=             12.149451   12.149451

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*



     t o t a l  e n e r g y

          sum of eigenvalues =              -316.6232428384

          density-coulomb potential int     -844.4026804395

          density-effective potential i     -898.3128449249

          charge density-ex.-corr.energ      -41.7445065756
 
 FORCES: EQUATION A3 FOR ATOM TYPE   1
 FX_A3= -0.013531  0.000000 FY_A3= -0.008920  0.000000 FZ_A3= -0.004206  0.000000
 FORCES: EQUATION A3 FOR ATOM TYPE   2
 FX_A3=  0.013531  0.000000 FY_A3=  0.008921  0.000000 FZ_A3=  0.004206  0.000000

          el.-nucl. inter. diff. m.t.        342.2718164028

          Madelung term for atom type:        -6.6358334450

          el.-nucl. inter. diff. m.t.        342.2718162910

          Madelung term for atom type:        -6.6358334849


 ----> total energy=                        -580.0715443326 htr

 ***** TOTAL FORCES ON ATOMS ***** 

 TOTAL FORCE FOR ATOM TYPE=  1  X=  1.292   Y=  1.292   Z=  1.292
                       FX_TOT=-0.013531 FY_TOT=-0.008920 FZ_TOT=-0.004206
 TOTAL FORCE FOR ATOM TYPE=  2  X= -1.369   Y= -1.344   Z= -1.318
                       FX_TOT= 0.013531 FY_TOT= 0.008921 FZ_TOT= 0.004206
eps_force= 0.00001max= 0.00001


 ---->(tkb*entropy) TS=                        0.0000001997 htr


 ----> free energy=                         -580.0715445323 htr


      extrapolation for T->0
 ----> total electron energy=               -580.0715444324 htr
 wrtdop title:alpha Si                                                                ordered*
 wrtdop title:alpha Si                                                                ordered*
     <vi|w|Fm> for it 2       0.010750
     <vi|w|Fm> for it 3      -0.022969
     <vi|w|Fm> for it 4      -0.006097
     <vi|w|Fm> for it 5      -0.071603
     <vi|w|Fm> for it 6       0.054028
     <vi|w|Fm> for it 7      -0.004106
     <vi|w|Fm> for it 8       1.683568
     <vi|w|Fm> for it 9       5.555367

----> distance of charge densities for spin  1        it= 10:   0.000324 me/bohr**3

          total charge for spin  1=   28.000000
          interst. charge =       3.701123
          mt charge=             12.149439   12.149439

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701123
          mt charge=             12.149439   12.149439

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*

     ******* it= 10  is completed********



             it=       11

          total charge for spin  1=   28.000000
          interst. charge =       3.701123
          mt charge=             12.149439   12.149439

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701123
          mt charge=             12.149439   12.149439

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*


          p o t e n t i a l   g e n e r a t o r


          multipole moments for atom type=    1

  l   m                   original                      plane wave
  0   0          -0.52203E+00    0.00000E+00         0.77848E+00   -0.17222E-14
  1   0           0.16734E-02    0.00000E+00         0.14128E-02   -0.78878E-15
  1   1          -0.49363E-02    0.31539E-02        -0.40564E-02    0.25989E-02
  1  -1           0.49363E-02    0.31539E-02         0.40564E-02    0.25989E-02
  1   1          -0.49363E-02    0.31539E-02        -0.40564E-02    0.25989E-02
  1  -1           0.49363E-02    0.31539E-02         0.40564E-02    0.25989E-02
  2   0           0.52203E-03    0.00000E+00         0.49874E-03    0.47724E-16
  2   1           0.12345E-01   -0.18689E-01         0.11743E-01   -0.17750E-01
  2  -1          -0.12345E-01   -0.18689E-01        -0.11743E-01   -0.17750E-01
  2   2          -0.29032E-03    0.58683E-02        -0.27746E-03    0.56342E-02
  2  -2          -0.29032E-03   -0.58683E-02        -0.27746E-03   -0.56342E-02
  2   1           0.12345E-01   -0.18689E-01         0.11743E-01   -0.17750E-01
  2  -1          -0.12345E-01   -0.18689E-01        -0.11743E-01   -0.17750E-01
  2   2          -0.29032E-03    0.58683E-02        -0.27746E-03    0.56342E-02
  2  -2          -0.29032E-03   -0.58683E-02        -0.27746E-03   -0.56342E-02
  3   0          -0.84951E-02    0.00000E+00        -0.82482E-02   -0.11286E-14
  3   1          -0.10735E-01    0.72029E-02        -0.10356E-01    0.69545E-02
  3  -1           0.10735E-01    0.72029E-02         0.10356E-01    0.69545E-02
  3   2          -0.55441E-05    0.46967E+00        -0.47337E-05    0.46255E+00
  3  -2          -0.55441E-05   -0.46967E+00        -0.47337E-05   -0.46255E+00
  3   3           0.13842E-01    0.92681E-02         0.13355E-01    0.89518E-02
  3  -3          -0.13842E-01    0.92681E-02        -0.13355E-01    0.89518E-02
  3   1          -0.10735E-01    0.72029E-02        -0.10356E-01    0.69545E-02
  3  -1           0.10735E-01    0.72029E-02         0.10356E-01    0.69545E-02
  3   2          -0.55441E-05    0.46967E+00        -0.47337E-05    0.46255E+00
  3  -2          -0.55441E-05   -0.46967E+00        -0.47337E-05   -0.46255E+00
  3   3           0.13842E-01    0.92681E-02         0.13355E-01    0.89518E-02
  3  -3          -0.13842E-01    0.92681E-02        -0.13355E-01    0.89518E-02
  4   0          -0.27309E+00    0.00000E+00        -0.26912E+00    0.11269E-14
  4   1           0.34673E-03   -0.37983E-03         0.41297E-03   -0.48743E-03
  4  -1          -0.34673E-03   -0.37983E-03        -0.41297E-03   -0.48743E-03
  4   2          -0.31490E-03   -0.10924E-02        -0.30580E-03   -0.11522E-02
  4  -2          -0.31490E-03    0.10924E-02        -0.30580E-03    0.11522E-02
  4   3           0.83829E-03    0.96001E-03         0.10181E-02    0.12473E-02
  4  -3          -0.83829E-03    0.96001E-03        -0.10181E-02    0.12473E-02
  4   4          -0.16268E+00   -0.84931E-05        -0.16032E+00   -0.79846E-05
  4  -4          -0.16268E+00    0.84931E-05        -0.16032E+00    0.79846E-05
  4   1           0.34673E-03   -0.37983E-03         0.41297E-03   -0.48743E-03
  4  -1          -0.34673E-03   -0.37983E-03        -0.41297E-03   -0.48743E-03
  4   2          -0.31490E-03   -0.10924E-02        -0.30580E-03   -0.11522E-02
  4  -2          -0.31490E-03    0.10924E-02        -0.30580E-03    0.11522E-02
  4   3           0.83829E-03    0.96001E-03         0.10181E-02    0.12473E-02
  4  -3          -0.83829E-03    0.96001E-03        -0.10181E-02    0.12473E-02
  4   4          -0.16268E+00   -0.84931E-05        -0.16032E+00   -0.79846E-05
  4  -4          -0.16268E+00    0.84931E-05        -0.16032E+00    0.79846E-05
  5   0           0.53227E-02    0.00000E+00         0.52639E-02   -0.79220E-15
  5   1           0.43741E-02   -0.27153E-02         0.42146E-02   -0.26120E-02
  5  -1          -0.43741E-02   -0.27153E-02        -0.42146E-02   -0.26120E-02
  5   2           0.77404E-05    0.61508E-03         0.76072E-05    0.60124E-03
  5  -2           0.77404E-05   -0.61508E-03         0.76072E-05   -0.60124E-03
  5   3           0.17819E-01    0.11793E-01         0.17488E-01    0.11571E-01
  5  -3          -0.17819E-01    0.11793E-01        -0.17488E-01    0.11571E-01
  5   4          -0.46733E-02   -0.48301E-03        -0.45589E-02   -0.47201E-03
  5  -4          -0.46733E-02    0.48301E-03        -0.45589E-02    0.47201E-03
  5   5          -0.37256E-02    0.26169E-02        -0.37317E-02    0.26183E-02
  5  -5           0.37256E-02    0.26169E-02         0.37317E-02    0.26183E-02
  5   1           0.43741E-02   -0.27153E-02         0.42146E-02   -0.26120E-02
  5  -1          -0.43741E-02   -0.27153E-02        -0.42146E-02   -0.26120E-02
  5   2           0.77404E-05    0.61508E-03         0.76072E-05    0.60124E-03
  5  -2           0.77404E-05   -0.61508E-03         0.76072E-05   -0.60124E-03
  5   3           0.17819E-01    0.11793E-01         0.17488E-01    0.11571E-01
  5  -3          -0.17819E-01    0.11793E-01        -0.17488E-01    0.11571E-01
  5   4          -0.46733E-02   -0.48301E-03        -0.45589E-02   -0.47201E-03
  5  -4          -0.46733E-02    0.48301E-03        -0.45589E-02    0.47201E-03
  5   5          -0.37256E-02    0.26169E-02        -0.37317E-02    0.26183E-02
  5  -5           0.37256E-02    0.26169E-02         0.37317E-02    0.26183E-02
  6   0           0.10281E+00    0.00000E+00         0.10175E+00    0.12448E-14
  6   1          -0.64037E-02    0.97171E-02        -0.63485E-02    0.96351E-02
  6  -1           0.64037E-02    0.97171E-02         0.63485E-02    0.96351E-02
  6   2           0.11842E-03   -0.60789E-02         0.11734E-03   -0.60169E-02
  6  -2           0.11842E-03    0.60789E-02         0.11734E-03    0.60169E-02
  6   3          -0.42896E-02   -0.62275E-02        -0.42487E-02   -0.61688E-02
  6  -3           0.42896E-02   -0.62275E-02         0.42487E-02   -0.61688E-02
  6   4          -0.19311E+00   -0.54785E-05        -0.19112E+00   -0.55813E-05
  6  -4          -0.19311E+00    0.54785E-05        -0.19112E+00    0.55813E-05
  6   5          -0.97090E-02    0.14433E-01        -0.96199E-02    0.14303E-01
  6  -5           0.97090E-02    0.14433E-01         0.96199E-02    0.14303E-01
  6   6           0.17606E-03   -0.20775E-02         0.17447E-03   -0.20574E-02
  6  -6           0.17606E-03    0.20775E-02         0.17447E-03    0.20574E-02
  6   1          -0.64037E-02    0.97171E-02        -0.63485E-02    0.96351E-02
  6  -1           0.64037E-02    0.97171E-02         0.63485E-02    0.96351E-02
  6   2           0.11842E-03   -0.60789E-02         0.11734E-03   -0.60169E-02
  6  -2           0.11842E-03    0.60789E-02         0.11734E-03    0.60169E-02
  6   3          -0.42896E-02   -0.62275E-02        -0.42487E-02   -0.61688E-02
  6  -3           0.42896E-02   -0.62275E-02         0.42487E-02   -0.61688E-02
  6   4          -0.19311E+00   -0.54785E-05        -0.19112E+00   -0.55813E-05
  6  -4          -0.19311E+00    0.54785E-05        -0.19112E+00    0.55813E-05
  6   5          -0.97090E-02    0.14433E-01        -0.96199E-02    0.14303E-01
  6  -5           0.97090E-02    0.14433E-01         0.96199E-02    0.14303E-01
  6   6           0.17606E-03   -0.20775E-02         0.17447E-03   -0.20574E-02
  6  -6           0.17606E-03    0.20775E-02         0.17447E-03    0.20574E-02
  7   0           0.24634E-02    0.00000E+00         0.24470E-02    0.46439E-14
  7   1           0.51583E-02   -0.35462E-02         0.51443E-02   -0.35369E-02
  7  -1          -0.51583E-02   -0.35462E-02        -0.51443E-02   -0.35369E-02
  7   2           0.24196E-05   -0.12872E+00         0.24103E-05   -0.12877E+00
  7  -2           0.24196E-05    0.12872E+00         0.24103E-05    0.12877E+00
  7   3          -0.12546E-02   -0.85864E-03        -0.12389E-02   -0.84826E-03
  7  -3           0.12546E-02   -0.85864E-03         0.12389E-02   -0.84826E-03
  7   4           0.24426E-02   -0.36116E-03         0.24430E-02   -0.36205E-03
  7  -4           0.24426E-02    0.36116E-03         0.24430E-02    0.36205E-03
  7   5          -0.27217E-02    0.18618E-02        -0.27406E-02    0.18745E-02
  7  -5           0.27217E-02    0.18618E-02         0.27406E-02    0.18745E-02
  7   6           0.43102E-05   -0.11779E+00         0.42430E-05   -0.11784E+00
  7  -6           0.43102E-05    0.11779E+00         0.42430E-05    0.11784E+00
  7   7          -0.47000E-02   -0.32246E-02        -0.46771E-02   -0.32094E-02
  7  -7           0.47000E-02   -0.32246E-02         0.46771E-02   -0.32094E-02
  7   1           0.51583E-02   -0.35462E-02         0.51443E-02   -0.35369E-02
  7  -1          -0.51583E-02   -0.35462E-02        -0.51443E-02   -0.35369E-02
  7   2           0.24196E-05   -0.12872E+00         0.24103E-05   -0.12877E+00
  7  -2           0.24196E-05    0.12872E+00         0.24103E-05    0.12877E+00
  7   3          -0.12546E-02   -0.85864E-03        -0.12389E-02   -0.84826E-03
  7  -3           0.12546E-02   -0.85864E-03         0.12389E-02   -0.84826E-03
  7   4           0.24426E-02   -0.36116E-03         0.24430E-02   -0.36205E-03
  7  -4           0.24426E-02    0.36116E-03         0.24430E-02    0.36205E-03
  7   5          -0.27217E-02    0.18618E-02        -0.27406E-02    0.18745E-02
  7  -5           0.27217E-02    0.18618E-02         0.27406E-02    0.18745E-02
  7   6           0.43102E-05   -0.11779E+00         0.42430E-05   -0.11784E+00
  7  -6           0.43102E-05    0.11779E+00         0.42430E-05    0.11784E+00
  7   7          -0.47000E-02   -0.32246E-02        -0.46771E-02   -0.32094E-02
  7  -7           0.47000E-02   -0.32246E-02         0.46771E-02   -0.32094E-02
  8   0           0.52639E-01    0.00000E+00         0.56884E-01   -0.11307E-14
  8   1           0.59078E-03   -0.93560E-03         0.52869E-03   -0.83481E-03
  8  -1          -0.59078E-03   -0.93560E-03        -0.52869E-03   -0.83481E-03
  8   2           0.10441E-03    0.31322E-02         0.11463E-03    0.34711E-02
  8  -2           0.10441E-03   -0.31322E-02         0.11463E-03   -0.34711E-02
  8   3          -0.88130E-03   -0.12356E-02        -0.11224E-02   -0.16027E-02
  8  -3           0.88130E-03   -0.12356E-02         0.11224E-02   -0.16027E-02
  8   4           0.19351E-01    0.86408E-05         0.20943E-01    0.86865E-05
  8  -4           0.19351E-01   -0.86408E-05         0.20943E-01   -0.86865E-05
  8   5          -0.56796E-02    0.85180E-02        -0.61399E-02    0.92027E-02
  8  -5           0.56796E-02    0.85180E-02         0.61399E-02    0.92027E-02
  8   6           0.32653E-03   -0.14341E-02         0.33085E-03   -0.14897E-02
  8  -6           0.32653E-03    0.14341E-02         0.33085E-03    0.14897E-02
  8   7          -0.33965E-02   -0.50343E-02        -0.38738E-02   -0.57562E-02
  8  -7           0.33965E-02   -0.50343E-02         0.38738E-02   -0.57562E-02
  8   8           0.29790E-01   -0.13934E-05         0.32204E-01   -0.21264E-05
  8  -8           0.29790E-01    0.13934E-05         0.32204E-01    0.21264E-05
  8   1           0.59078E-03   -0.93560E-03         0.52869E-03   -0.83481E-03
  8  -1          -0.59078E-03   -0.93560E-03        -0.52869E-03   -0.83481E-03
  8   2           0.10441E-03    0.31322E-02         0.11463E-03    0.34711E-02
  8  -2           0.10441E-03   -0.31322E-02         0.11463E-03   -0.34711E-02
  8   3          -0.88130E-03   -0.12356E-02        -0.11224E-02   -0.16027E-02
  8  -3           0.88130E-03   -0.12356E-02         0.11224E-02   -0.16027E-02
  8   4           0.19351E-01    0.86408E-05         0.20943E-01    0.86865E-05
  8  -4           0.19351E-01   -0.86408E-05         0.20943E-01   -0.86865E-05
  8   5          -0.56796E-02    0.85180E-02        -0.61399E-02    0.92027E-02
  8  -5           0.56796E-02    0.85180E-02         0.61399E-02    0.92027E-02
  8   6           0.32653E-03   -0.14341E-02         0.33085E-03   -0.14897E-02
  8  -6           0.32653E-03    0.14341E-02         0.33085E-03    0.14897E-02
  8   7          -0.33965E-02   -0.50343E-02        -0.38738E-02   -0.57562E-02
  8  -7           0.33965E-02   -0.50343E-02         0.38738E-02   -0.57562E-02
  8   8           0.29790E-01   -0.13934E-05         0.32204E-01   -0.21264E-05
  8  -8           0.29790E-01    0.13934E-05         0.32204E-01    0.21264E-05

          multipole moments for atom type=    2

  l   m                   original                      plane wave
  0   0          -0.52203E+00    0.00000E+00         0.77848E+00   -0.11929E-14
  1   0          -0.16734E-02    0.00000E+00        -0.14128E-02    0.47099E-15
  1   1           0.49363E-02   -0.31539E-02         0.40564E-02   -0.25989E-02
  1  -1          -0.49363E-02   -0.31539E-02        -0.40564E-02   -0.25989E-02
  1   1           0.49363E-02   -0.31539E-02         0.40564E-02   -0.25989E-02
  1  -1          -0.49363E-02   -0.31539E-02        -0.40564E-02   -0.25989E-02
  2   0           0.52202E-03    0.00000E+00         0.49874E-03   -0.25804E-16
  2   1           0.12345E-01   -0.18689E-01         0.11743E-01   -0.17750E-01
  2  -1          -0.12345E-01   -0.18689E-01        -0.11743E-01   -0.17750E-01
  2   2          -0.29035E-03    0.58684E-02        -0.27748E-03    0.56342E-02
  2  -2          -0.29035E-03   -0.58684E-02        -0.27748E-03   -0.56342E-02
  2   1           0.12345E-01   -0.18689E-01         0.11743E-01   -0.17750E-01
  2  -1          -0.12345E-01   -0.18689E-01        -0.11743E-01   -0.17750E-01
  2   2          -0.29035E-03    0.58684E-02        -0.27748E-03    0.56342E-02
  2  -2          -0.29035E-03   -0.58684E-02        -0.27748E-03   -0.56342E-02
  3   0           0.84951E-02    0.00000E+00         0.82481E-02   -0.32192E-15
  3   1           0.10735E-01   -0.72029E-02         0.10356E-01   -0.69545E-02
  3  -1          -0.10735E-01   -0.72029E-02        -0.10356E-01   -0.69545E-02
  3   2           0.55909E-05   -0.46967E+00         0.47828E-05   -0.46255E+00
  3  -2           0.55909E-05    0.46967E+00         0.47828E-05    0.46255E+00
  3   3          -0.13842E-01   -0.92681E-02        -0.13355E-01   -0.89519E-02
  3  -3           0.13842E-01   -0.92681E-02         0.13355E-01   -0.89519E-02
  3   1           0.10735E-01   -0.72029E-02         0.10356E-01   -0.69545E-02
  3  -1          -0.10735E-01   -0.72029E-02        -0.10356E-01   -0.69545E-02
  3   2           0.55909E-05   -0.46967E+00         0.47828E-05   -0.46255E+00
  3  -2           0.55909E-05    0.46967E+00         0.47828E-05    0.46255E+00
  3   3          -0.13842E-01   -0.92681E-02        -0.13355E-01   -0.89519E-02
  3  -3           0.13842E-01   -0.92681E-02         0.13355E-01   -0.89519E-02
  4   0          -0.27309E+00    0.00000E+00        -0.26912E+00    0.24559E-14
  4   1           0.34673E-03   -0.37974E-03         0.41298E-03   -0.48737E-03
  4  -1          -0.34673E-03   -0.37974E-03        -0.41298E-03   -0.48737E-03
  4   2          -0.31490E-03   -0.10925E-02        -0.30579E-03   -0.11522E-02
  4  -2          -0.31490E-03    0.10925E-02        -0.30579E-03    0.11522E-02
  4   3           0.83829E-03    0.96052E-03         0.10181E-02    0.12478E-02
  4  -3          -0.83829E-03    0.96052E-03        -0.10181E-02    0.12478E-02
  4   4          -0.16268E+00   -0.85621E-05        -0.16032E+00   -0.80558E-05
  4  -4          -0.16268E+00    0.85621E-05        -0.16032E+00    0.80558E-05
  4   1           0.34673E-03   -0.37974E-03         0.41298E-03   -0.48737E-03
  4  -1          -0.34673E-03   -0.37974E-03        -0.41298E-03   -0.48737E-03
  4   2          -0.31490E-03   -0.10925E-02        -0.30579E-03   -0.11522E-02
  4  -2          -0.31490E-03    0.10925E-02        -0.30579E-03    0.11522E-02
  4   3           0.83829E-03    0.96052E-03         0.10181E-02    0.12478E-02
  4  -3          -0.83829E-03    0.96052E-03        -0.10181E-02    0.12478E-02
  4   4          -0.16268E+00   -0.85621E-05        -0.16032E+00   -0.80558E-05
  4  -4          -0.16268E+00    0.85621E-05        -0.16032E+00    0.80558E-05
  5   0          -0.53228E-02    0.00000E+00        -0.52639E-02   -0.23788E-14
  5   1          -0.43741E-02    0.27153E-02        -0.42147E-02    0.26120E-02
  5  -1           0.43741E-02    0.27153E-02         0.42147E-02    0.26120E-02
  5   2          -0.77890E-05   -0.61500E-03        -0.76562E-05   -0.60116E-03
  5  -2          -0.77890E-05    0.61500E-03        -0.76562E-05    0.60116E-03
  5   3          -0.17819E-01   -0.11793E-01        -0.17488E-01   -0.11571E-01
  5  -3           0.17819E-01   -0.11793E-01         0.17488E-01   -0.11571E-01
  5   4           0.46736E-02    0.48353E-03         0.45592E-02    0.47255E-03
  5  -4           0.46736E-02   -0.48353E-03         0.45592E-02   -0.47255E-03
  5   5           0.37237E-02   -0.26169E-02         0.37297E-02   -0.26183E-02
  5  -5          -0.37237E-02   -0.26169E-02        -0.37297E-02   -0.26183E-02
  5   1          -0.43741E-02    0.27153E-02        -0.42147E-02    0.26120E-02
  5  -1           0.43741E-02    0.27153E-02         0.42147E-02    0.26120E-02
  5   2          -0.77890E-05   -0.61500E-03        -0.76562E-05   -0.60116E-03
  5  -2          -0.77890E-05    0.61500E-03        -0.76562E-05    0.60116E-03
  5   3          -0.17819E-01   -0.11793E-01        -0.17488E-01   -0.11571E-01
  5  -3           0.17819E-01   -0.11793E-01         0.17488E-01   -0.11571E-01
  5   4           0.46736E-02    0.48353E-03         0.45592E-02    0.47255E-03
  5  -4           0.46736E-02   -0.48353E-03         0.45592E-02   -0.47255E-03
  5   5           0.37237E-02   -0.26169E-02         0.37297E-02   -0.26183E-02
  5  -5          -0.37237E-02   -0.26169E-02        -0.37297E-02   -0.26183E-02
  6   0           0.10281E+00    0.00000E+00         0.10175E+00    0.23070E-14
  6   1          -0.64037E-02    0.97172E-02        -0.63485E-02    0.96352E-02
  6  -1           0.64037E-02    0.97172E-02         0.63485E-02    0.96352E-02
  6   2           0.11859E-03   -0.60789E-02         0.11751E-03   -0.60170E-02
  6  -2           0.11859E-03    0.60789E-02         0.11751E-03    0.60170E-02
  6   3          -0.42896E-02   -0.62282E-02        -0.42487E-02   -0.61695E-02
  6  -3           0.42896E-02   -0.62282E-02         0.42487E-02   -0.61695E-02
  6   4          -0.19311E+00   -0.55879E-05        -0.19112E+00   -0.56937E-05
  6  -4          -0.19311E+00    0.55879E-05        -0.19112E+00    0.56937E-05
  6   5          -0.97092E-02    0.14433E-01        -0.96201E-02    0.14303E-01
  6  -5           0.97092E-02    0.14433E-01         0.96201E-02    0.14303E-01
  6   6           0.17552E-03   -0.20771E-02         0.17391E-03   -0.20570E-02
  6  -6           0.17552E-03    0.20771E-02         0.17391E-03    0.20570E-02
  6   1          -0.64037E-02    0.97172E-02        -0.63485E-02    0.96352E-02
  6  -1           0.64037E-02    0.97172E-02         0.63485E-02    0.96352E-02
  6   2           0.11859E-03   -0.60789E-02         0.11751E-03   -0.60170E-02
  6  -2           0.11859E-03    0.60789E-02         0.11751E-03    0.60170E-02
  6   3          -0.42896E-02   -0.62282E-02        -0.42487E-02   -0.61695E-02
  6  -3           0.42896E-02   -0.62282E-02         0.42487E-02   -0.61695E-02
  6   4          -0.19311E+00   -0.55879E-05        -0.19112E+00   -0.56937E-05
  6  -4          -0.19311E+00    0.55879E-05        -0.19112E+00    0.56937E-05
  6   5          -0.97092E-02    0.14433E-01        -0.96201E-02    0.14303E-01
  6  -5           0.97092E-02    0.14433E-01         0.96201E-02    0.14303E-01
  6   6           0.17552E-03   -0.20771E-02         0.17391E-03   -0.20570E-02
  6  -6           0.17552E-03    0.20771E-02         0.17391E-03    0.20570E-02
  7   0          -0.24633E-02    0.00000E+00        -0.24468E-02   -0.40174E-15
  7   1          -0.51587E-02    0.35463E-02        -0.51447E-02    0.35369E-02
  7  -1           0.51587E-02    0.35463E-02         0.51447E-02    0.35369E-02
  7   2          -0.24075E-05    0.12872E+00        -0.23972E-05    0.12877E+00
  7  -2          -0.24075E-05   -0.12872E+00        -0.23972E-05   -0.12877E+00
  7   3           0.12554E-02    0.85869E-03         0.12397E-02    0.84831E-03
  7  -3          -0.12554E-02    0.85869E-03        -0.12397E-02    0.84831E-03
  7   4          -0.24427E-02    0.36107E-03        -0.24432E-02    0.36196E-03
  7  -4          -0.24427E-02   -0.36107E-03        -0.24432E-02   -0.36196E-03
  7   5           0.27235E-02   -0.18618E-02         0.27424E-02   -0.18745E-02
  7  -5          -0.27235E-02   -0.18618E-02        -0.27424E-02   -0.18745E-02
  7   6          -0.43798E-05    0.11779E+00        -0.43120E-05    0.11784E+00
  7  -6          -0.43798E-05   -0.11779E+00        -0.43120E-05   -0.11784E+00
  7   7           0.47000E-02    0.32244E-02         0.46771E-02    0.32092E-02
  7  -7          -0.47000E-02    0.32244E-02        -0.46771E-02    0.32092E-02
  7   1          -0.51587E-02    0.35463E-02        -0.51447E-02    0.35369E-02
  7  -1           0.51587E-02    0.35463E-02         0.51447E-02    0.35369E-02
  7   2          -0.24075E-05    0.12872E+00        -0.23972E-05    0.12877E+00
  7  -2          -0.24075E-05   -0.12872E+00        -0.23972E-05   -0.12877E+00
  7   3           0.12554E-02    0.85869E-03         0.12397E-02    0.84831E-03
  7  -3          -0.12554E-02    0.85869E-03        -0.12397E-02    0.84831E-03
  7   4          -0.24427E-02    0.36107E-03        -0.24432E-02    0.36196E-03
  7  -4          -0.24427E-02   -0.36107E-03        -0.24432E-02   -0.36196E-03
  7   5           0.27235E-02   -0.18618E-02         0.27424E-02   -0.18745E-02
  7  -5          -0.27235E-02   -0.18618E-02        -0.27424E-02   -0.18745E-02
  7   6          -0.43798E-05    0.11779E+00        -0.43120E-05    0.11784E+00
  7  -6          -0.43798E-05   -0.11779E+00        -0.43120E-05   -0.11784E+00
  7   7           0.47000E-02    0.32244E-02         0.46771E-02    0.32092E-02
  7  -7          -0.47000E-02    0.32244E-02        -0.46771E-02    0.32092E-02
  8   0           0.52639E-01    0.00000E+00         0.56884E-01   -0.99283E-14
  8   1           0.59076E-03   -0.93616E-03         0.52868E-03   -0.83540E-03
  8  -1          -0.59076E-03   -0.93616E-03        -0.52868E-03   -0.83540E-03
  8   2           0.10446E-03    0.31324E-02         0.11473E-03    0.34714E-02
  8  -2           0.10446E-03   -0.31324E-02         0.11473E-03   -0.34714E-02
  8   3          -0.88132E-03   -0.12360E-02        -0.11224E-02   -0.16033E-02
  8  -3           0.88132E-03   -0.12360E-02         0.11224E-02   -0.16033E-02
  8   4           0.19351E-01    0.87880E-05         0.20943E-01    0.88493E-05
  8  -4           0.19351E-01   -0.87880E-05         0.20943E-01   -0.88493E-05
  8   5          -0.56797E-02    0.85173E-02        -0.61399E-02    0.92019E-02
  8  -5           0.56797E-02    0.85173E-02         0.61399E-02    0.92019E-02
  8   6           0.32689E-03   -0.14342E-02         0.33120E-03   -0.14898E-02
  8  -6           0.32689E-03    0.14342E-02         0.33120E-03    0.14898E-02
  8   7          -0.33965E-02   -0.50329E-02        -0.38738E-02   -0.57547E-02
  8  -7           0.33965E-02   -0.50329E-02         0.38738E-02   -0.57547E-02
  8   8           0.29790E-01   -0.14593E-05         0.32204E-01   -0.21946E-05
  8  -8           0.29790E-01    0.14593E-05         0.32204E-01    0.21946E-05
  8   1           0.59076E-03   -0.93616E-03         0.52868E-03   -0.83540E-03
  8  -1          -0.59076E-03   -0.93616E-03        -0.52868E-03   -0.83540E-03
  8   2           0.10446E-03    0.31324E-02         0.11473E-03    0.34714E-02
  8  -2           0.10446E-03   -0.31324E-02         0.11473E-03   -0.34714E-02
  8   3          -0.88132E-03   -0.12360E-02        -0.11224E-02   -0.16033E-02
  8  -3           0.88132E-03   -0.12360E-02         0.11224E-02   -0.16033E-02
  8   4           0.19351E-01    0.87880E-05         0.20943E-01    0.88493E-05
  8  -4           0.19351E-01   -0.87880E-05         0.20943E-01   -0.88493E-05
  8   5          -0.56797E-02    0.85173E-02        -0.61399E-02    0.92019E-02
  8  -5           0.56797E-02    0.85173E-02         0.61399E-02    0.92019E-02
  8   6           0.32689E-03   -0.14342E-02         0.33120E-03   -0.14898E-02
  8  -6           0.32689E-03    0.14342E-02         0.33120E-03    0.14898E-02
  8   7          -0.33965E-02   -0.50329E-02        -0.38738E-02   -0.57547E-02
  8  -7           0.33965E-02   -0.50329E-02         0.38738E-02   -0.57547E-02
  8   8           0.29790E-01   -0.14593E-05         0.32204E-01   -0.21946E-05
  8  -8           0.29790E-01    0.14593E-05         0.32204E-01    0.21946E-05

          integral of pseudo charge density inside the slab=        0.000000   0.000000

     coulomb potential in the interstitial region:

          density-coulomb potential integrals


          interstitial :                       0.7807269720

          muffin tin spheres :              -845.1834013160

          total density-coulomb potenti     -844.4026743441
 wrtdop title:alpha Si                                                                ordered*

     interstitial potential average (vbar) = -0.027907

 999idsprs in starting of nmtxad= 0

          density-effective potential integrals for spin  1


          interstitial :                      -0.4749425345

          muffin tin spheres :              -897.8378970547

          total density-effective poten     -898.3128395892

          charge density-energy density integrals


          interstitial :                      -0.9795657849

          muffin tin spheres :               -40.7649413885

          total charge density-energy d      -41.7445071735
 vgen: pottot deleted
 wrtdop title:alpha Si                                                                ordered*
 IT=  11  ISEC1=  99 standard diagonalization
  Atom  1 3s branch from -4.72 to  1.07 htr. ; e_l = -0.1341
  Atom  1 3p branch from -3.11 to  1.55 htr. ; e_l =  0.0500
  Atom  1 3d branch from -9.99 to  1.95 htr. ; e_l =  0.2439
  Atom  1 4f branch from -9.99 to  4.11 htr. ; e_l =  0.4116
  Atom  2 3s branch from -4.72 to  1.07 htr. ; e_l = -0.1341
  Atom  2 3p branch from -3.11 to  1.55 htr. ; e_l =  0.0500
  Atom  2 3d branch from -9.99 to  1.95 htr. ; e_l =  0.2439
  Atom  2 4f branch from -9.99 to  4.11 htr. ; e_l =  0.4116


 wavefunction parameters for atom type  1:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.13409        4.7800565E-01  -2.4465399E-01    2       -3.1232947E-01  -7.4530276E-01    2   1.0766722E-01   4.3267158E-01
  1   0.04999       -5.5348689E-01   9.9418664E-02    1        2.6599594E-01   7.3396803E-01    2   7.9522048E-02   4.3268664E-01
  2   0.24386        6.4439198E-01   1.6344212E-01    0       -2.3289870E-01  -7.3053299E-01    1   6.5179045E-02   4.3268414E-01
  3   0.41164        8.3799999E-01   7.5544818E-01    0       -1.2158492E-01  -6.2593060E-01    1   1.3122251E-02   4.3267873E-01
  4   0.41164        9.7736350E-01   1.4626807E+00    0       -8.2132597E-02  -5.6560529E-01    1   4.9166940E-03   4.3266820E-01
  5   0.41164        1.0889890E+00   2.2153830E+00    0       -6.1660949E-02  -5.2274000E-01    1   2.3795473E-03   4.3265549E-01
  6   0.41164        1.1859741E+00   3.0206231E+00    0       -4.8925252E-02  -4.8940792E-01    1   1.3189791E-03   4.3264038E-01
  7   0.41164        1.2734320E+00   3.8786656E+00    0       -4.0219932E-02  -4.6223314E-01    1   7.9808746E-04   4.3262283E-01
  8   0.41164        1.3539864E+00   4.7881049E+00    0       -3.3904805E-02  -4.3940068E-01    1   5.1413450E-04   4.3260278E-01


 wavefunction parameters for atom type  2:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.13409        4.7800564E-01  -2.4465400E-01    2       -3.1232947E-01  -7.4530276E-01    2   1.0766723E-01   4.3267158E-01
  1   0.04999       -5.5348688E-01   9.9418674E-02    1        2.6599595E-01   7.3396803E-01    2   7.9522050E-02   4.3268664E-01
  2   0.24386        6.4439197E-01   1.6344211E-01    0       -2.3289870E-01  -7.3053299E-01    1   6.5179047E-02   4.3268414E-01
  3   0.41164        8.3799999E-01   7.5544817E-01    0       -1.2158492E-01  -6.2593060E-01    1   1.3122251E-02   4.3267873E-01
  4   0.41164        9.7736349E-01   1.4626807E+00    0       -8.2132597E-02  -5.6560529E-01    1   4.9166940E-03   4.3266820E-01
  5   0.41164        1.0889890E+00   2.2153830E+00    0       -6.1660949E-02  -5.2274000E-01    1   2.3795473E-03   4.3265549E-01
  6   0.41164        1.1859741E+00   3.0206231E+00    0       -4.8925252E-02  -4.8940792E-01    1   1.3189791E-03   4.3264038E-01
  7   0.41164        1.2734320E+00   3.8786656E+00    0       -4.0219932E-02  -4.6223314E-01    1   7.9808747E-04   4.3262283E-01
  8   0.41164        1.3539864E+00   4.7881049E+00    0       -3.3904805E-02  -4.3940068E-01    1   5.1413450E-04   4.3260278E-01


 k=(    0.444444    0.444444    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.153281   -0.031294    0.159304    0.163880    0.258586
         0.324573    0.329869    0.487743


 k=(    0.333333    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155808   -0.016637    0.134400    0.147132    0.282763
         0.327029    0.355423    0.456841


 k=(    0.222222    0.444444    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149606   -0.001543    0.095571    0.126842    0.263606
         0.363100    0.395646    0.410691


 k=(    0.111111    0.444444    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133883   -0.013597    0.094255    0.110452    0.240046
         0.284584    0.479227    0.481201


 k=(    0.000000    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.109046   -0.046476    0.102273    0.107595    0.228000
         0.244449    0.544472    0.545263


 k=(   -0.111111    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.085596   -0.069898    0.085728    0.103581    0.233508
         0.270558    0.542641    0.551617


 k=(    0.222222    0.555556    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107771   -0.042868    0.061524    0.114176    0.246328
         0.342992    0.468494    0.471696


 k=(    0.333333    0.555556    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128237   -0.032824    0.076667    0.132188    0.268737
         0.386838    0.397742    0.434830


 k=(    0.555556    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143575   -0.035780    0.125160    0.151857    0.282833
         0.327784    0.346525    0.501224


 k=(    0.444444    0.333333    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155850   -0.016445    0.132470    0.148929    0.283238
         0.328015    0.353718    0.455741


 k=(    0.333333    0.333333    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165141   -0.000122    0.121287    0.166959    0.290185
         0.336916    0.339239    0.476507


 k=(    0.222222    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164630    0.017665    0.096391    0.146833    0.303999
         0.336243    0.384322    0.403146


 k=(    0.111111    0.333333    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153779    0.012628    0.094952    0.119001    0.273269
         0.310799    0.402720    0.466474


 k=(    0.000000    0.333333    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132898   -0.016359    0.090603    0.115989    0.245256
         0.279234    0.479958    0.483706


 k=(   -0.111111    0.333333    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104156   -0.048510    0.083708    0.094293    0.265638
         0.279962    0.470632    0.535966


 k=(   -0.222222    0.333333    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.090023   -0.059318    0.061329    0.092607    0.277040
         0.343698    0.449010    0.458081


 k=(    0.666667    0.333333    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114371   -0.035892    0.057315    0.109587    0.294948
         0.369552    0.431856    0.447725


 k=(    0.555556    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138137   -0.025715    0.090672    0.132750    0.308917
         0.319093    0.402802    0.446684


 k=(    0.444444    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149665   -0.001051    0.093754    0.128136    0.264888
         0.361785    0.395653    0.409421


 k=(    0.333333    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164639    0.017878    0.095587    0.147517    0.304346
         0.337080    0.383679    0.401194


 k=(    0.222222    0.222222    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169432    0.026842    0.085212    0.166315    0.303688
         0.364728    0.374783    0.419055


 k=(    0.111111    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163616    0.011822    0.100895    0.146664    0.310877
         0.335966    0.378023    0.407316


 k=(    0.000000    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147502   -0.009117    0.094898    0.132984    0.270624
         0.356048    0.397571    0.412257


 k=(   -0.111111    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122438   -0.030790    0.069178    0.113229    0.291022
         0.346657    0.390280    0.479095


 k=(   -0.222222    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.093424   -0.055019    0.059245    0.085566    0.343709
         0.355315    0.374633    0.436208


 k=(    0.666667    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.097549   -0.048786    0.061522    0.080910    0.346071
         0.350039    0.373356    0.440552


 k=(    0.555556    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125939   -0.022158    0.070717    0.105885    0.286352
         0.351666    0.385262    0.480627


 k=(    0.444444    0.111111    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133915   -0.013405    0.092961    0.111507    0.241157
         0.283571    0.478322    0.480870


 k=(    0.333333    0.111111    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153755    0.012443    0.095193    0.118978    0.273442
         0.310522    0.402765    0.466289


 k=(    0.222222    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163589    0.011511    0.101807    0.146041    0.310475
         0.335205    0.378639    0.409063


 k=(    0.111111    0.111111    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163012   -0.008657    0.128771    0.164605    0.292701
         0.338561    0.348909    0.472759


 k=(    0.000000    0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152472   -0.026483    0.133391    0.154506    0.287826
         0.333141    0.355789    0.449994


 k=(   -0.111111    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133331   -0.037374    0.089777    0.141345    0.310582
         0.328709    0.400403    0.440717


 k=(   -0.222222    0.111111    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108137   -0.047598    0.056390    0.116495    0.300710
         0.373506    0.424561    0.444465


 k=(    0.666667    0.111111    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.083653   -0.066856    0.057417    0.097683    0.282995
         0.337840    0.447237    0.458979


 k=(    0.555556    0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105953   -0.045298    0.084654    0.091508    0.267531
         0.278609    0.465142    0.535449


 k=(    0.444444    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.108900   -0.046775    0.103233    0.106872    0.228437
         0.243915    0.544598    0.545103


 k=(    0.333333    0.000000    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132762   -0.016959    0.092066    0.115203    0.244236
         0.279978    0.479888    0.485020


 k=(    0.222222    0.000000    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147394   -0.009747    0.096560    0.132040    0.269257
         0.357129    0.397358    0.413955


 k=(    0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152411   -0.026707    0.134673    0.153441    0.287352
         0.331572    0.358002    0.451119


 k=(    0.000000    0.000000    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.148644   -0.042577    0.160060    0.169131    0.262148
         0.326409    0.337163    0.491925


 k=(   -0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137975   -0.048175    0.125659    0.158289    0.287065
         0.332372    0.348736    0.505689


 k=(    0.222222    0.000000    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122507   -0.045137    0.077908    0.137674    0.274763
         0.388982    0.399607    0.428464


 k=(    0.333333    0.000000    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.102679   -0.051273    0.059866    0.119116    0.252255
         0.337269    0.468607    0.474211


 k=(    0.555556    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.078476   -0.077365    0.081257    0.108247    0.239501
         0.264778    0.538561    0.551412


 k=(    0.444444   -0.111111    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.084110   -0.071572    0.084953    0.104555    0.234725
         0.269326    0.541742    0.551729


 k=(    0.333333   -0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103601   -0.049508    0.084204    0.094375    0.265844
         0.279576    0.471763    0.536103


 k=(    0.222222   -0.111111    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122131   -0.031678    0.069957    0.113223    0.289556
         0.347962    0.391347    0.479272


 k=(    0.111111   -0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133165   -0.037754    0.089735    0.141734    0.309837
         0.329371    0.400207    0.441879


 k=(    0.000000   -0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137916   -0.048241    0.124475    0.159653    0.287521
         0.333933    0.346262    0.505541


 k=(    0.111111    0.111111    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.138154   -0.047980    0.130463    0.152822    0.285867
         0.330285    0.353446    0.506321


 k=(    0.222222    0.111111    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133851   -0.036788    0.095364    0.134738    0.313950
         0.321066    0.407413    0.441287


 k=(    0.333333    0.111111    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123244   -0.029374    0.072700    0.108562    0.290729
         0.347840    0.386360    0.483787


 k=(    0.444444    0.111111    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105167   -0.046753    0.084806    0.092218    0.266953
         0.278932    0.467492    0.535855


 k=(    0.555556    0.222222    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107505   -0.043141    0.060396    0.115271    0.247609
         0.341743    0.466892    0.471875


 k=(    0.333333   -0.222222    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.088829   -0.060832    0.060607    0.093661    0.278258
         0.342443    0.448232    0.458741


 k=(    0.222222   -0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.092356   -0.056557    0.059052    0.086288    0.344308
         0.355081    0.375079    0.435352


 k=(    0.111111   -0.222222    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.107763   -0.048135    0.055890    0.117149    0.302188
         0.371761    0.424119    0.444564


 k=(    0.000000    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122419   -0.045103    0.076693    0.138744    0.276221
         0.388454    0.397626    0.428198


 k=(    0.111111    0.222222    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133846   -0.036654    0.093965    0.136105    0.313705
         0.322506    0.405713    0.440280


 k=(    0.222222    0.222222    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139158   -0.021640    0.074184    0.147348    0.284873
         0.388292    0.391058    0.464107


 k=(    0.333333    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136453   -0.012569    0.062916    0.127525    0.315590
         0.353308    0.384293    0.457795


 k=(    0.444444    0.222222    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125405   -0.023440    0.069403    0.108329    0.285806
         0.351642    0.387929    0.477878


 k=(    0.555556    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128118   -0.032857    0.075273    0.133558    0.270060
         0.385931    0.396244    0.434508


 k=(    0.333333    0.666667    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114057   -0.036414    0.056699    0.110432    0.296333
         0.367916    0.431055    0.448196


 k=(    0.222222    0.666667    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.096832   -0.049912    0.060977    0.081910    0.344985
         0.351750    0.373605    0.439644


 k=(    0.111111    0.666667    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.082091   -0.068552    0.056668    0.098525    0.284297
         0.336620    0.447319    0.458706


 k=(    0.000000    0.333333    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.102601   -0.051147    0.058676    0.119960    0.253649
         0.336087    0.467519    0.473759


 k=(    0.111111    0.333333    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123271   -0.029059    0.071174    0.109775    0.291966
         0.346538    0.386541    0.482352


 k=(    0.222222    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136472   -0.012479    0.062847    0.127496    0.315709
         0.352930    0.384606    0.458045


 k=(    0.333333    0.333333    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141153   -0.014451    0.068535    0.148210    0.285076
         0.382632    0.384139    0.470154


 k=(    0.444444    0.333333    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137819   -0.026207    0.087740    0.136428    0.306867
         0.323335    0.398961    0.446857


 k=(    0.444444    0.555556    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143521   -0.035840    0.123535    0.153716    0.283273
         0.328613    0.344755    0.501148


 k=(    0.333333    0.555556    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138011   -0.026040    0.090511    0.133230    0.307764
         0.320179    0.402668    0.447781


 k=(    0.222222    0.555556    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125741   -0.022826    0.071410    0.105801    0.284925
         0.353159    0.386199    0.480744


 k=(    0.111111    0.555556    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105704   -0.045730    0.084049    0.092345    0.266684
         0.279403    0.466261    0.535481


 k=(    0.000000    0.555556    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.079464   -0.076276    0.080298    0.108985    0.240823
         0.263606    0.537595    0.551236


 k=(    0.111111    0.444444    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105313   -0.046455    0.084191    0.092631    0.266417
         0.279548    0.467437    0.535664


 k=(    0.222222    0.444444    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125475   -0.023464    0.070729    0.107040    0.284671
         0.353134    0.387539    0.479332


 k=(    0.333333    0.444444    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137853   -0.026287    0.089040    0.135065    0.306829
         0.322232    0.400714    0.447877


 k=(    0.444444    0.444444    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143468   -0.035900    0.122143    0.155321    0.283734
         0.329989    0.342427    0.501107


 k=(    0.444444    0.444444    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155894   -0.016242    0.130910    0.150324    0.283724
         0.329356    0.351647    0.454678


 k=(    0.333333    0.444444    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165244    0.000190    0.122442    0.165161    0.289828
         0.335664    0.341499    0.475883


 k=(    0.222222    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164789    0.018347    0.097306    0.144989    0.304807
         0.334403    0.384423    0.404722


 k=(    0.111111    0.444444    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154001    0.013879    0.094609    0.118034    0.273640
         0.310804    0.401368    0.466702


 k=(    0.000000    0.444444    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133201   -0.015305    0.089610    0.116051    0.245470
         0.279249    0.479039    0.482458


 k=(   -0.111111    0.444444    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104552   -0.047805    0.083593    0.094013    0.265898
         0.279802    0.469519    0.535941


 k=(   -0.222222    0.444444    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.089975   -0.059388    0.061360    0.092606    0.277034
         0.343676    0.449396    0.457781


 k=(    0.666667    0.444444    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114249   -0.036044    0.056783    0.110243    0.294845
         0.370478    0.432308    0.446761


 k=(    0.555556    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138109   -0.025618    0.089278    0.134172    0.308804
         0.320381    0.400948    0.445761


 k=(    0.444444    0.333333    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165345    0.000487    0.123796    0.163159    0.289508
         0.335412    0.342740    0.475630


 k=(    0.333333    0.333333    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.179956    0.017493    0.165428    0.170025    0.265768
         0.329472    0.334652    0.490744


 k=(    0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184130    0.039432    0.149048    0.150887    0.287486
         0.330614    0.364859    0.405024


 k=(    0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177347    0.049579    0.122921    0.130337    0.258632
         0.324891    0.404630    0.417087


 k=(    0.000000    0.333333    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159803    0.022409    0.115979    0.121803    0.233466
         0.280592    0.469578    0.469775


 k=(   -0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133001   -0.016615    0.097149    0.110277    0.239473
         0.284372    0.480993    0.485832


 k=(   -0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.105507   -0.047361    0.064118    0.113988    0.246101
         0.342962    0.472598    0.473834


 k=(    0.666667    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.113790   -0.036124    0.048696    0.126519    0.260436
         0.422335    0.445170    0.458715


 k=(    0.555556    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141793   -0.012878    0.070033    0.145327    0.282337
         0.384272    0.386876    0.469619


 k=(    0.444444    0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164955    0.019221    0.097524    0.143719    0.306106
         0.333272    0.383822    0.404406


 k=(    0.333333    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184174    0.039812    0.147099    0.152354    0.287878
         0.331818    0.363323    0.403748


 k=(    0.222222    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192886    0.061209    0.130108    0.182529    0.301667
         0.331813    0.343423    0.428948


 k=(    0.111111    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190426    0.068444    0.120693    0.162153    0.293321
         0.343530    0.367198    0.388892


 k=(    0.000000    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176848    0.045021    0.121115    0.136665    0.261648
         0.321075    0.406676    0.419206


 k=(   -0.111111    0.222222    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153116    0.009246    0.094913    0.122633    0.272163
         0.310651    0.406594    0.466406


 k=(   -0.222222    0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123460   -0.029094    0.073795    0.107951    0.284145
         0.353729    0.389928    0.482811


 k=(    0.666667    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.112092   -0.040961    0.059640    0.110143    0.294605
         0.374913    0.427904    0.446672


 k=(    0.555556    0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137461   -0.009257    0.062824    0.124923    0.312876
         0.354255    0.384566    0.458716


 k=(    0.444444    0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154200    0.014940    0.094666    0.116881    0.274209
         0.310537    0.400053    0.466811


 k=(    0.333333    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177391    0.050155    0.120951    0.131626    0.259415
         0.324341    0.404275    0.416167


 k=(    0.222222    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190421    0.068306    0.120820    0.162224    0.293365
         0.343600    0.366987    0.388698


 k=(    0.111111    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192330    0.054804    0.136636    0.180966    0.304774
         0.338633    0.343310    0.424772


 k=(    0.000000    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183024    0.031758    0.148598    0.157985    0.292630
         0.335465    0.365891    0.398122


 k=(   -0.111111    0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163132    0.010041    0.097842    0.152273    0.307974
         0.341566    0.378025    0.402930


 k=(   -0.222222    0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134956   -0.016980    0.062469    0.131467    0.319247
         0.351891    0.384169    0.457562


 k=(   -0.333333    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110401   -0.043526    0.056504    0.114242    0.301355
         0.366965    0.425532    0.447140


 k=(    0.555556    0.111111    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.124661   -0.025412    0.070246    0.108236    0.291130
         0.347242    0.384764    0.481649


 k=(    0.444444    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133366   -0.014868    0.090094    0.115323    0.244654
         0.280030    0.477996    0.482592


 k=(    0.333333    0.000000    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159779    0.022181    0.117036    0.121037    0.233609
         0.280341    0.469420    0.469772


 k=(    0.222222    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176780    0.044152    0.123012    0.135867    0.261022
         0.321238    0.406707    0.420385


 k=(    0.111111    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182969    0.031327    0.149453    0.157748    0.292273
         0.333796    0.367734    0.399376


 k=(    0.000000    0.000000    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178117    0.008602    0.166628    0.175730    0.269636
         0.331313    0.341724    0.491542


 k=(   -0.111111    0.000000    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162685   -0.009544    0.124820    0.170476    0.293523
         0.337839    0.346800    0.472834


 k=(   -0.222222    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138137   -0.023825    0.071680    0.151757    0.288536
         0.384207    0.389056    0.464699


 k=(   -0.333333    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.109296   -0.044117    0.046714    0.132229    0.266720
         0.415434    0.438915    0.463374


 k=(    0.555556    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104481   -0.047961    0.058121    0.119248    0.252408
         0.337211    0.465622    0.473205


 k=(    0.444444   -0.111111    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104400   -0.048106    0.084090    0.093718    0.266396
         0.279224    0.469579    0.536135


 k=(    0.333333   -0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132730   -0.017455    0.096827    0.111273    0.240380
         0.283323    0.481174    0.486570


 k=(    0.222222   -0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152866    0.007936    0.095381    0.123556    0.271984
         0.310364    0.407912    0.466321


 k=(    0.111111   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162938    0.009099    0.097907    0.153346    0.306886
         0.342392    0.378606    0.403295


 k=(    0.000000   -0.111111    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162571   -0.009869    0.123861    0.172063    0.293885
         0.337996    0.345645    0.473874


 k=(   -0.111111   -0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152248   -0.027308    0.140466    0.148115    0.286030
         0.328671    0.362719    0.454684


 k=(   -0.222222   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133386   -0.037818    0.094803    0.136254    0.310379
         0.324326    0.406607    0.445200


 k=(   -0.333333   -0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108585   -0.047210    0.058485    0.114139    0.301111
         0.370238    0.422496    0.447631


 k=(    0.555556   -0.111111    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.083396   -0.067171    0.057489    0.097689    0.282976
         0.337790    0.448017    0.458423


 k=(    0.444444   -0.222222    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.088686   -0.061035    0.060687    0.093659    0.278241
         0.342386    0.449160    0.458040


 k=(    0.333333   -0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104364   -0.049257    0.063856    0.115019    0.247305
         0.341733    0.472432    0.474596


 k=(    0.222222   -0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122675   -0.030974    0.073575    0.109419    0.285128
         0.352537    0.391037    0.482508


 k=(    0.111111   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134412   -0.018596    0.062593    0.132592    0.320792
         0.351365    0.383890    0.457175


 k=(    0.000000   -0.222222    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.137786   -0.024606    0.071063    0.152978    0.290015
         0.382935    0.388093    0.465349


 k=(   -0.111111   -0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133216   -0.038063    0.093390    0.137982    0.309632
         0.326187    0.404724    0.445341


 k=(   -0.222222   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122825   -0.045129    0.082076    0.133677    0.271006
         0.391011    0.403927    0.430088


 k=(    0.333333    0.222222    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109668   -0.045665    0.060483    0.111615    0.297232
         0.374786    0.423393    0.448087


 k=(    0.444444    0.222222    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.095831   -0.051524    0.060922    0.082661    0.346737
         0.350133    0.374227    0.438976


 k=(    0.444444    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113799   -0.036749    0.055684    0.111720    0.296092
         0.369750    0.431887    0.446562


 k=(    0.333333    0.666667    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.112915   -0.037786    0.048355    0.127705    0.261713
         0.420650    0.443798    0.459534


 k=(    0.222222    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110825   -0.043345    0.059439    0.111559    0.295809
         0.375745    0.426168    0.446188


 k=(    0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109070   -0.045932    0.056430    0.115459    0.302659
         0.367682    0.424098    0.446357


 k=(    0.000000   -0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.108328   -0.045731    0.046399    0.133158    0.268134
         0.414051    0.437541    0.465293


 k=(   -0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108127   -0.047794    0.057404    0.115402    0.302546
         0.369338    0.422579    0.446582


 k=(    0.222222    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109582   -0.045715    0.059888    0.112238    0.297177
         0.375649    0.423877    0.446951


 k=(    0.333333    0.333333    0.666667):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.112018   -0.039464    0.048081    0.128771    0.263091
         0.418863    0.442329    0.460884


 k=(    0.444444    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113482   -0.037278    0.055158    0.112463    0.297567
         0.368011    0.430946    0.447253


 k=(    0.444444    0.555556    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137949   -0.025863    0.087823    0.136010    0.307738
         0.322521    0.399063    0.445836


 k=(    0.333333    0.555556    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141475   -0.013651    0.069225    0.146835    0.283643
         0.383205    0.385804    0.469671


 k=(    0.222222    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136979   -0.010820    0.062754    0.126257    0.314233
         0.353535    0.384704    0.458489


 k=(    0.111111    0.555556    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123987   -0.027073    0.069939    0.109630    0.292160
         0.346216    0.385760    0.481283


 k=(    0.000000    0.555556    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103529   -0.049460    0.057801    0.120027    0.253726
         0.336050    0.465990    0.473312


 k=(   -0.111111    0.555556    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.081971   -0.068694    0.056695    0.098528    0.284290
         0.336603    0.447605    0.458504


 k=(    0.222222    0.444444    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.095973   -0.051271    0.060716    0.082730    0.345461
         0.351662    0.374043    0.438828


 k=(    0.333333    0.444444    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113619   -0.037094    0.055642    0.111828    0.297706
         0.367100    0.430568    0.447920


 k=(    0.555556    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128006   -0.032872    0.073972    0.134787    0.271485
         0.385173    0.394437    0.434304


 k=(    0.444444    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149733   -0.000504    0.092025    0.129259    0.266249
         0.360338    0.396089    0.407817


 k=(    0.333333    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164810    0.018812    0.095611    0.146383    0.305533
         0.336026    0.383079    0.400935


 k=(    0.222222    0.444444    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169705    0.028584    0.084910    0.164766    0.302280
         0.366317    0.374105    0.419599


 k=(    0.111111    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164007    0.013940    0.099869    0.145727    0.310659
         0.335163    0.378560    0.405935


 k=(    0.000000    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148039   -0.006923    0.092897    0.133192    0.270732
         0.356014    0.397206    0.410329


 k=(   -0.111111    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123162   -0.028842    0.068014    0.113077    0.291176
         0.346342    0.389544    0.477968


 k=(   -0.222222    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.094308   -0.053731    0.059535    0.084836    0.343379
         0.355079    0.374330    0.437165


 k=(    0.666667    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.097472   -0.048931    0.061660    0.080856    0.347689
         0.348286    0.373448    0.440647


 k=(    0.555556    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125889   -0.022066    0.069312    0.107179    0.287584
         0.350078    0.385663    0.479191


 k=(    0.444444    0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164967    0.019475    0.096626    0.144436    0.306485
         0.334058    0.383130    0.402564


 k=(    0.333333    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184220    0.040225    0.145710    0.153206    0.288262
         0.333300    0.361514    0.402506


 k=(    0.222222    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192968    0.061924    0.130827    0.180541    0.301379
         0.333593    0.342429    0.428557


 k=(    0.111111    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190548    0.070182    0.120218    0.160519    0.293740
         0.343034    0.366535    0.389173


 k=(    0.000000    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177017    0.046833    0.119016    0.136784    0.261855
         0.321397    0.405909    0.417653


 k=(   -0.111111    0.333333    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153341    0.010428    0.094538    0.121783    0.272504
         0.310659    0.405297    0.466393


 k=(   -0.222222    0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123732   -0.028500    0.074540    0.106716    0.284369
         0.353726    0.388663    0.484175


 k=(    0.666667    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.112184   -0.040890    0.060244    0.109490    0.294662
         0.374002    0.427397    0.447928


 k=(    0.555556    0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137449   -0.009313    0.062869    0.124939    0.312817
         0.354476    0.384366    0.458580


 k=(    0.444444    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169975    0.030301    0.084739    0.163070    0.301053
         0.367740    0.373546    0.420106


 k=(    0.333333    0.222222    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.193049    0.062590    0.131787    0.178346    0.301174
         0.335911    0.340847    0.428280


 k=(    0.222222    0.222222    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205872    0.086460    0.176999    0.181748    0.279017
         0.328028    0.332507    0.438874


 k=(    0.111111    0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207410    0.108004    0.160521    0.168107    0.285368
         0.332391    0.359309    0.385706


 k=(    0.000000    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197526    0.094414    0.142237    0.149380    0.254360
         0.336379    0.397163    0.398119


 k=(   -0.111111    0.222222    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176850    0.044453    0.128860    0.130133    0.257939
         0.323683    0.407120    0.421691


 k=(   -0.222222    0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148068   -0.007989    0.101579    0.126258    0.263203
         0.362269    0.397648    0.416521


 k=(   -0.333333    0.222222    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.125305   -0.040036    0.081576    0.131543    0.268440
         0.389921    0.403420    0.432843


 k=(    0.555556    0.222222    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.140642   -0.017237    0.073520    0.144830    0.282208
         0.386921    0.391652    0.466430


 k=(    0.444444    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164366    0.015745    0.099889    0.143999    0.310254
         0.333454    0.379710    0.406286


 k=(    0.333333    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190664    0.071766    0.120078    0.158742    0.294271
         0.342520    0.365720    0.389311


 k=(    0.222222    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207433    0.108614    0.161573    0.166254    0.285660
         0.333161    0.358178    0.385017


 k=(    0.111111    0.111111    0.222222):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213045    0.121782    0.157145    0.195705    0.312773
         0.317127    0.322972    0.399143


 k=(    0.000000    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207137    0.100937    0.165593    0.170635    0.287358
         0.334452    0.358970    0.384558


 k=(   -0.111111    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190062    0.064033    0.120844    0.167628    0.291978
         0.343826    0.370071    0.388809


 k=(   -0.222222    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163483    0.011447    0.098808    0.150326    0.303952
         0.338472    0.382772    0.408166


 k=(   -0.333333    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135116   -0.033526    0.092174    0.136538    0.307376
         0.324837    0.404001    0.447930


 k=(    0.555556    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135830   -0.031837    0.092953    0.134151    0.312525
         0.320115    0.404982    0.441953


 k=(    0.444444    0.000000    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148462   -0.005370    0.092562    0.132445    0.269483
         0.357156    0.396461    0.410171


 k=(    0.333333    0.000000    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177117    0.047732    0.118889    0.136061    0.261447
         0.321908    0.405096    0.417352


 k=(    0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197520    0.094041    0.143554    0.148529    0.254435
         0.336154    0.397227    0.397870


 k=(    0.111111    0.000000    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207108    0.100178    0.165161    0.172167    0.287119
         0.333553    0.359989    0.384990


 k=(    0.000000    0.000000    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205254    0.077741    0.179181    0.188599    0.283564
         0.328417    0.336847    0.435086


 k=(   -0.111111    0.000000    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192077    0.052983    0.133765    0.187443    0.305129
         0.332347    0.347759    0.425544


 k=(   -0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168605    0.022147    0.085417    0.171322    0.306958
         0.361220    0.376652    0.417546


 k=(   -0.333333    0.000000    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138985   -0.020979    0.069507    0.152121    0.288609
         0.381217    0.386883    0.467505


 k=(    0.555556    0.000000    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124755   -0.040091    0.074714    0.138135    0.274945
         0.386088    0.395846    0.430783


 k=(    0.444444   -0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123568   -0.027821    0.067693    0.112881    0.289855
         0.347366    0.389881    0.476984


 k=(    0.333333   -0.111111    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153317    0.010252    0.094748    0.121784    0.272670
         0.310390    0.405345    0.466202


 k=(    0.222222   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176725    0.043269    0.128820    0.131432    0.258503
         0.322790    0.407562    0.422291


 k=(    0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189933    0.062398    0.121383    0.169150    0.291681
         0.343829    0.370942    0.388689


 k=(    0.000000   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.191990    0.052292    0.133234    0.189231    0.305468
         0.330635    0.348712    0.425961


 k=(   -0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182816    0.030215    0.151200    0.157564    0.291167
         0.330131    0.371983    0.403297


 k=(   -0.222222   -0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163042    0.009010    0.100946    0.149998    0.306634
         0.338016    0.380635    0.410276


 k=(   -0.333333   -0.111111    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134924   -0.017116    0.062568    0.131517    0.319005
         0.352540    0.383697    0.457111


 k=(   -0.444444   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109868   -0.044126    0.054569    0.116627    0.300792
         0.370370    0.427442    0.444634


 k=(    0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.094150   -0.053999    0.059719    0.084787    0.343904
         0.354256    0.374565    0.437305


 k=(    0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123226   -0.029808    0.075067    0.106976    0.285591
         0.352505    0.388549    0.485128


 k=(    0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147596   -0.009679    0.101759    0.127354    0.264367
         0.360927    0.398095    0.417168


 k=(    0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163097    0.009570    0.099090    0.151840    0.304558
         0.339873    0.381625    0.407853


 k=(    0.000000   -0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168319    0.020506    0.085751    0.172718    0.308431
         0.359665    0.377536    0.416945


 k=(   -0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162877    0.008378    0.100132    0.151659    0.305939
         0.339615    0.380579    0.408912


 k=(   -0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147125   -0.011328    0.102042    0.128256    0.265619
         0.359571    0.398733    0.417602


 k=(   -0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122446   -0.031658    0.074831    0.108407    0.286659
         0.351267    0.389669    0.484811


 k=(   -0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.093152   -0.055463    0.059529    0.085496    0.344608
         0.353927    0.375025    0.436424


 k=(    0.444444    0.666667    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.096617   -0.050308    0.061323    0.081785    0.347243
         0.349106    0.373876    0.439889


 k=(    0.333333    0.666667    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.111004   -0.043225    0.060636    0.110284    0.295922
         0.373969    0.425177    0.448586


 k=(   -0.222222    0.333333   -0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124093   -0.042567    0.081788    0.132686    0.269670
         0.390340    0.403804    0.431502


 k=(    0.111111   -0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134098   -0.035914    0.092089    0.138142    0.308085
         0.326454    0.403413    0.446729


 k=(    0.000000   -0.333333    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138219   -0.023191    0.069993    0.153163    0.290050
         0.381401    0.387015    0.466877


 k=(   -0.111111   -0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134400   -0.018646    0.062628    0.132612    0.320690
         0.351618    0.383718    0.456999


 k=(   -0.222222   -0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122167   -0.032231    0.074084    0.109616    0.286421
         0.351295    0.390892    0.483558


 k=(   -0.333333   -0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103191   -0.051147    0.063629    0.115930    0.248597
         0.340466    0.473304    0.474328


 k=(   -0.444444   -0.333333    0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.087421   -0.062591    0.060014    0.094614    0.279534
         0.341075    0.448520    0.458582


 k=(    0.444444    0.555556    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125621   -0.022710    0.068679    0.108386    0.287290
         0.350083    0.386987    0.477855


 k=(    0.333333    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136949   -0.010967    0.062869    0.126301    0.314060
         0.354130    0.384186    0.458108


 k=(    0.222222    0.555556    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139909   -0.019435    0.073812    0.146160    0.283476
         0.387347    0.391635    0.465164


 k=(    0.111111    0.555556    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134853   -0.034168    0.092736    0.135860    0.312799
         0.322185    0.404464    0.440683


 k=(    0.000000    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.123575   -0.042556    0.075105    0.138978    0.276310
         0.386925    0.395737    0.429468


 k=(    0.111111    0.444444   -0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108674   -0.046352    0.054973    0.117218    0.302237
         0.370165    0.425576    0.444577


 k=(    0.222222    0.444444   -0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.092247   -0.056731    0.059155    0.086265    0.344653
         0.354548    0.375233    0.435430


 k=(    0.333333    0.444444   -0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.087522   -0.062453    0.059966    0.094614    0.279544
         0.341109    0.447987    0.458975


 k=(    0.555556    0.555556    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107274   -0.043340    0.059305    0.116250    0.248978
         0.340438    0.465698    0.471687


 k=(    0.444444    0.444444    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133967   -0.013125    0.091688    0.112435    0.242312
         0.282552    0.478356    0.479608


 k=(    0.333333    0.444444    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153964    0.013576    0.095019    0.117983    0.273926
         0.310354    0.401438    0.466413


 k=(    0.222222    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163956    0.013316    0.101746    0.144421    0.309845
         0.333668    0.379816    0.409433


 k=(    0.111111    0.444444    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163559   -0.006658    0.128472    0.163339    0.291732
         0.336918    0.349307    0.472866


 k=(    0.000000    0.444444    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153235   -0.024249    0.131538    0.154968    0.287246
         0.333236    0.353592    0.450160


 k=(   -0.111111    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134346   -0.034886    0.088551    0.141138    0.309752
         0.328290    0.399157    0.441073


 k=(   -0.222222    0.444444    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109394   -0.045286    0.055938    0.115930    0.299233
         0.373710    0.426715    0.444047


 k=(    0.666667    0.444444    0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.085015   -0.065337    0.058132    0.096858    0.281646
         0.339112    0.447589    0.458851


 k=(    0.555556    0.444444    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105869   -0.045475    0.085102    0.091184    0.267914
         0.278178    0.465171    0.535561


 k=(    0.444444    0.333333    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154186    0.014824    0.094830    0.116853    0.274320
         0.310365    0.400078    0.466705


 k=(    0.333333    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177439    0.050845    0.119080    0.132672    0.260200
         0.323816    0.404233    0.414962


 k=(    0.222222    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190539    0.069948    0.120440    0.160626    0.293814
         0.343154    0.366182    0.388868


 k=(    0.111111    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192525    0.056709    0.136147    0.179341    0.303749
         0.338629    0.342816    0.425289


 k=(    0.000000    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183310    0.033762    0.146473    0.158204    0.291891
         0.336169    0.363792    0.398013


 k=(   -0.111111    0.333333    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163527    0.012146    0.096723    0.151475    0.307620
         0.340977    0.378532    0.401414


 k=(   -0.222222    0.333333    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135476   -0.015395    0.062340    0.130387    0.317513
         0.352832    0.384150    0.457788


 k=(   -0.333333    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110839   -0.042926    0.057546    0.112980    0.299869
         0.367881    0.425660    0.447993


 k=(    0.555556    0.333333    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.124655   -0.025681    0.071767    0.106995    0.289835
         0.348724    0.384477    0.483078


 k=(    0.444444    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164342    0.015432    0.100860    0.143310    0.309842
         0.332721    0.380352    0.408035


 k=(    0.333333    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190660    0.071673    0.120169    0.158779    0.294300
         0.342569    0.365582    0.389199


 k=(    0.222222    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207458    0.109355    0.162557    0.164314    0.285926
         0.334091    0.356951    0.384360


 k=(    0.111111    0.222222    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213098    0.123803    0.156559    0.193643    0.312081
         0.318932    0.321865    0.398998


 k=(    0.000000    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207224    0.103161    0.163581    0.170044    0.287201
         0.335034    0.357771    0.384133


 k=(   -0.111111    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190185    0.065643    0.120278    0.166230    0.292307
         0.343712    0.369131    0.388842


 k=(   -0.222222    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163646    0.012107    0.099589    0.148669    0.304608
         0.336846    0.382890    0.409574


 k=(   -0.333333    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135280   -0.033280    0.093602    0.134788    0.308052
         0.323019    0.405953    0.447793


 k=(    0.555556    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135841   -0.031965    0.094407    0.132724    0.312951
         0.318482    0.406822    0.442852


 k=(    0.444444    0.111111    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.164095   -0.004659    0.128357    0.161825    0.290864
         0.335934    0.349019    0.473619


 k=(    0.333333    0.111111    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192719    0.058619    0.135846    0.177477    0.302883
         0.339511    0.341354    0.425855


 k=(    0.222222    0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213152    0.125775    0.156342    0.191244    0.312131
         0.320050    0.320756    0.398806


 k=(    0.111111    0.111111    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222685    0.162994    0.191031    0.196224    0.293748
         0.311782    0.315370    0.365314


 k=(    0.000000    0.111111    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220648    0.163575    0.176759    0.187262    0.283108
         0.331962    0.335723    0.356945


 k=(   -0.111111    0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207154    0.101567    0.159981    0.176468    0.285394
         0.330991    0.362782    0.386982


 k=(   -0.222222    0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183295    0.033438    0.148895    0.157034    0.288994
         0.328881    0.371069    0.405580


 k=(   -0.333333    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153674   -0.023239    0.140147    0.145903    0.283968
         0.326669    0.361998    0.457094


 k=(    0.555556    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140537   -0.042906    0.130208    0.150428    0.283954
         0.328005    0.353075    0.504342


 k=(    0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153922   -0.022245    0.131001    0.154286    0.286262
         0.331694    0.353684    0.451363


 k=(    0.333333    0.000000    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183538    0.035340    0.145585    0.157766    0.290885
         0.335098    0.363610    0.399128


 k=(    0.222222    0.000000    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207281    0.104599    0.162301    0.169818    0.286858
         0.334655    0.357644    0.384140


 k=(    0.111111    0.000000    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220647    0.162488    0.178783    0.186432    0.283067
         0.332582    0.334986    0.356886


 k=(    0.000000    0.000000    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222552    0.152071    0.194845    0.205395    0.299402
         0.308612    0.314663    0.362753


 k=(   -0.111111    0.000000    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212881    0.117063    0.156859    0.202950    0.309996
         0.317425    0.325255    0.399500


 k=(   -0.222222    0.000000    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192303    0.055434    0.131286    0.188136    0.303766
         0.329555    0.347909    0.427257


 k=(   -0.333333    0.000000    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163565   -0.006152    0.121908    0.171488    0.292380
         0.335050    0.345052    0.474842


 k=(   -0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140253   -0.043220    0.122418    0.159330    0.286066
         0.331800    0.344747    0.503677


 k=(    0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135164   -0.032798    0.087319    0.141262    0.308396
         0.328377    0.397784    0.442424


 k=(    0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163728    0.013295    0.095720    0.151698    0.306273
         0.341230    0.379625    0.400135


 k=(    0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190180    0.065518    0.120388    0.166309    0.292345
         0.343767    0.368942    0.388642


 k=(    0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207091    0.099977    0.161275    0.176984    0.285787
         0.331219    0.362817    0.386719


 k=(    0.000000   -0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212825    0.115322    0.157465    0.204797    0.310054
         0.316442    0.326203    0.399523


 k=(   -0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207029    0.098480    0.162647    0.177278    0.286203
         0.331524    0.362824    0.386490


 k=(   -0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190053    0.063843    0.121005    0.167760    0.292035
         0.343909    0.369780    0.388484


 k=(   -0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163541    0.012323    0.095849    0.152728    0.305215
         0.342107    0.380195    0.400432


 k=(   -0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135012   -0.033172    0.087298    0.141635    0.307706
         0.329001    0.397653    0.443480


 k=(   -0.444444    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110217   -0.043595    0.055034    0.115992    0.299267
         0.372168    0.428159    0.444183


 k=(   -0.333333    0.222222   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135457   -0.015482    0.062404    0.130418    0.317379
         0.353225    0.383846    0.457518


 k=(   -0.222222    0.222222   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163426    0.010861    0.100687    0.148521    0.305907
         0.336648    0.381799    0.410627


 k=(   -0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183055    0.031808    0.149798    0.157594    0.290039
         0.329432    0.371612    0.404439


 k=(    0.000000    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192103    0.053494    0.132019    0.189592    0.304754
         0.329218    0.348817    0.426845


 k=(    0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189929    0.062330    0.121439    0.169202    0.291700
         0.343858    0.370837    0.388565


 k=(    0.222222    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176605    0.042165    0.129301    0.132092    0.259074
         0.321955    0.408195    0.422720


 k=(   -0.333333   -0.222222    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153077    0.008971    0.095232    0.122647    0.272422
         0.310227    0.406674    0.466092


 k=(   -0.444444   -0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123289   -0.028682    0.068470    0.112871    0.288352
         0.348806    0.390903    0.477038


 k=(    0.555556    0.333333   -0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.084881   -0.065507    0.058178    0.096861    0.281634
         0.339080    0.448094    0.458486


 k=(   -0.333333    0.333333   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109964   -0.044750    0.058554    0.112934    0.299740
         0.369492    0.424131    0.448278


 k=(   -0.222222    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134432   -0.035424    0.094930    0.134664    0.309495
         0.322789    0.407251    0.446449


 k=(   -0.111111    0.333333   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152968   -0.025276    0.139958    0.147396    0.284957
         0.327546    0.362487    0.455914


 k=(    0.000000    0.333333   -0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163016   -0.008180    0.122419    0.172586    0.293284
         0.336248    0.345125    0.474880


 k=(    0.111111    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163147    0.010233    0.096917    0.153578    0.305476
         0.342679    0.379672    0.402084


 k=(    0.222222    0.333333   -0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152852    0.007836    0.095493    0.123566    0.272080
         0.310208    0.407943    0.466200


 k=(    0.333333    0.333333   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132477   -0.018219    0.096541    0.112136    0.241321
         0.282289    0.481733    0.486955


 k=(    0.444444    0.333333   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103907   -0.048996    0.084493    0.093827    0.266423
         0.279048    0.470733    0.536279


 k=(    0.444444    0.555556    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105476   -0.046203    0.085103    0.091617    0.267606
         0.278352    0.466345    0.535784


 k=(    0.333333    0.555556    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123955   -0.027657    0.072987    0.107176    0.289629
         0.348996    0.385294    0.484148


 k=(    0.222222    0.555556    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134870   -0.034431    0.095586    0.133069    0.313377
         0.319205    0.408008    0.442585


 k=(    0.111111    0.555556    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139372   -0.045423    0.130207    0.151790    0.284867
         0.328971    0.353440    0.505315


 k=(    0.000000    0.444444   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139083   -0.045744    0.122860    0.160193    0.286990
         0.333681    0.344231    0.504559


 k=(    0.111111    0.444444   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134028   -0.035640    0.088488    0.141899    0.308330
         0.329565    0.398834    0.443286


 k=(    0.222222    0.444444   -0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122576   -0.030591    0.069570    0.113062    0.288206
         0.349087    0.391631    0.478198


 k=(    0.333333    0.444444   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103505   -0.049692    0.084494    0.094205    0.266138
         0.279234    0.471802    0.536220


 k=(    0.444444    0.444444   -0.111111):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.082577   -0.073239    0.084194    0.105419    0.236022
         0.268057    0.540734    0.551821


 k=(    0.444444    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.108812   -0.046955    0.104084    0.106162    0.228712
         0.243581    0.544758    0.544920


 k=(    0.333333    0.444444    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132951   -0.016433    0.092451    0.114498    0.243348
         0.280854    0.478919    0.485049


 k=(    0.222222    0.444444    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147836   -0.008182    0.096195    0.131336    0.267954
         0.358388    0.396532    0.413802


 k=(    0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153120   -0.024696    0.134003    0.152935    0.286284
         0.330060    0.358103    0.452363


 k=(    0.000000    0.444444    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.149637   -0.040271    0.158546    0.169600    0.261336
         0.324297    0.337392    0.491001


 k=(   -0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139197   -0.045614    0.125174    0.157519    0.286060
         0.330570    0.349194    0.504762


 k=(    0.222222    0.555556    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.123756   -0.042614    0.077515    0.136860    0.273347
         0.388056    0.399760    0.429886


 k=(    0.333333    0.555556    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103733   -0.049624    0.060125    0.118355    0.250895
         0.338496    0.468005    0.474282


 k=(    0.555556    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.079709   -0.076171    0.082126    0.107523    0.238141
         0.266011    0.539617    0.551496


 k=(    0.444444    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133252   -0.015396    0.091472    0.114555    0.243552
         0.280891    0.477958    0.483859


 k=(    0.333333    0.333333    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159764    0.022045    0.117956    0.120291    0.233695
         0.280190    0.469385    0.469709


 k=(    0.222222    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176885    0.045092    0.122739    0.135239    0.260542
         0.321851    0.405854    0.420128


 k=(    0.111111    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183202    0.032889    0.148148    0.157763    0.291169
         0.332785    0.367582    0.400498


 k=(    0.000000    0.333333    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178494    0.010369    0.165019    0.176110    0.268752
         0.329257    0.341962    0.491051


 k=(   -0.111111    0.333333    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163239   -0.007527    0.124297    0.169447    0.292536
         0.336006    0.347385    0.472819


 k=(   -0.222222    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138910   -0.021609    0.071191    0.150740    0.287037
         0.383656    0.389292    0.465443


 k=(   -0.333333    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.110249   -0.042468    0.046971    0.131316    0.265262
         0.417048    0.440396    0.461406


 k=(    0.555556    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104604   -0.047999    0.059254    0.118419    0.250972
         0.338476    0.466572    0.473702


 k=(    0.444444    0.222222    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148366   -0.006000    0.094200    0.131531    0.268072
         0.358454    0.395995    0.411945


 k=(    0.333333    0.222222    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177053    0.046862    0.120728    0.135300    0.260758
         0.322200    0.405008    0.418649


 k=(    0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197516    0.093822    0.144640    0.147717    0.254481
         0.336021    0.397379    0.397606


 k=(    0.111111    0.222222    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207167    0.101581    0.163556    0.172292    0.286731
         0.333153    0.359927    0.385067


 k=(    0.000000    0.222222    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205379    0.079450    0.177333    0.188795    0.282514
         0.326950    0.337396    0.435838


 k=(   -0.111111    0.222222    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192276    0.054910    0.133022    0.186055    0.304040
         0.332470    0.347133    0.425965


 k=(   -0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168888    0.023847    0.085017    0.169952    0.305408
         0.362895    0.375766    0.418151


 k=(   -0.333333    0.222222    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139326   -0.020178    0.070086    0.150918    0.287075
         0.382230    0.388167    0.466728


 k=(    0.555556    0.222222    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124848   -0.040115    0.075909    0.137087    0.273439
         0.386682    0.397891    0.430941


 k=(    0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153866   -0.022468    0.132201    0.153302    0.285775
         0.330089    0.355979    0.452442


 k=(    0.333333    0.111111    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183485    0.034897    0.146448    0.157520    0.290520
         0.333383    0.365558    0.400358


 k=(    0.222222    0.111111    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207253    0.103776    0.162514    0.170731    0.286626
         0.333670    0.358783    0.384642


 k=(    0.111111    0.111111    0.000000):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220646    0.161926    0.180114    0.185727    0.283042
         0.333356    0.334142    0.356851


 k=(    0.000000    0.111111    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222579    0.154111    0.192582    0.205307    0.297997
         0.308242    0.316001    0.363263


 k=(   -0.111111    0.111111    0.000000):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212937    0.118957    0.156047    0.201200    0.309629
         0.318888    0.324114    0.399458


 k=(   -0.222222    0.111111    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192389    0.056160    0.131756    0.186387    0.303393
         0.331111    0.347159    0.426792


 k=(   -0.333333    0.111111    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163675   -0.005824    0.122829    0.169935    0.291995
         0.334877    0.346243    0.473818


 k=(   -0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140309   -0.043156    0.123552    0.158016    0.285592
         0.330263    0.347223    0.503742


 k=(   -0.444444    0.000000    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.150597   -0.037987    0.157586    0.169432    0.260579
         0.323068    0.336766    0.490121


 k=(   -0.333333    0.000000    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178867    0.012148    0.163957    0.175860    0.267929
         0.328053    0.341366    0.491121


 k=(   -0.222222    0.000000    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205503    0.081186    0.176026    0.188363    0.281540
         0.326169    0.337249    0.436587


 k=(   -0.111111    0.000000    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222606    0.156266    0.190778    0.204595    0.296718
         0.308457    0.316680    0.363763


 k=(    0.000000    0.000000    0.000000):       259 3-d basis functions
 the   8 eigenvalues are:
        -0.228430    0.198309    0.203900    0.215992    0.293993
         0.300755    0.304267    0.321009


 fermi energy and band-weighting factors:

FERMIE:
          first approx. to ef    (T=0)  :  0.215992 htr   (energy of the highest occ. eigenvalue)
          number of occ. states  (T=0)  :      1460
          first approx. to seigv (T=0)  :  0.176434 htr
          sum of weights of occ. states :  4.000000
          sum of semicore eigenvalues   :  0.000000 htr
          sum of semicore charge        :  0.000000 e



FERHIS:  Fermi-Energy by histogram:

          bandgap                     :   0.012008 htr
          charge neutrality (T=0)     :   0.000000    (zero if the highest occ. eigenvalue is "entirely" occupied)

     EF_NEWTON:  Adjust Fermi-Energy by Newton-Method.

               Number of iterations needed  :   4
               The error in the weight is   :  0.81881E-14
               The error in ef is           : -0.58827E-12 htr


     -->  new fermi energy            :   0.221268 htr
          valence charge              :   8.000000 e 
          actual charge blw ef-8kt    :   7.997257 e 
          actual charge blw ef+8kt    :   8.000000 e 
          number of occ. states       :      1463
          sum of the valence weights  :   4.000000
          entropy         :   0.000200 *kb htr/K =   0.00000 htr/K

          sum of val. single particle energies:         0.1764343869 htr



          valence density: spin= 1

     l-like charge
     atom     s        p        d        f        total
 --> 1    0.89050  1.17095  0.08212  0.00603    2.15119
 --> 2    0.89050  1.17095  0.08212  0.00603    2.15119
 Energy Parameters for spin:           1
 Max. mismatch of energy parameters:    0.000000

     energy parameters for window 1
     atom     s        p        d        f
 -->  1   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0
 -->  2   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0

          total charge for spin  1=    8.000000
          interst. charge =       3.697621
          mt charge=              2.151190    2.151190

          total charge  =    8.000000


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.2037        2.
               2.   0.   0.5   -4.7107        2.
               2.   1.   0.5   -3.1110        2.
               2.   1.   1.5   -3.0872        4.
          atom type  1  (spin 1) 
          kinetic energy=  0.285372374264E+03     sum of the eigenvalues= -0.158399834756E+03
          0.00178911  electrons lost from core.


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.2037        2.
               2.   0.   0.5   -4.7107        2.
               2.   1.   0.5   -3.1110        2.
               2.   1.   1.5   -3.0872        4.
          atom type  2  (spin 1) 
          kinetic energy=  0.285372374286E+03     sum of the eigenvalues= -0.158399834840E+03
          0.00178911  electrons lost from core.

          alpha=   1.39394     acoff=   0.09674

          alpha=   1.39394     acoff=   0.09674

          total charge for spin  1=   28.000000
          interst. charge =       3.701098
          mt charge=             12.149451   12.149451

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701098
          mt charge=             12.149451   12.149451

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*



     t o t a l  e n e r g y

          sum of eigenvalues =              -316.6232352089

          density-coulomb potential int     -844.4026743441

          density-effective potential i     -898.3128395892

          charge density-ex.-corr.energ      -41.7445071735
 
 FORCES: EQUATION A3 FOR ATOM TYPE   1
 FX_A3= -0.013531  0.000000 FY_A3= -0.008920  0.000000 FZ_A3= -0.004206  0.000000
 FORCES: EQUATION A3 FOR ATOM TYPE   2
 FX_A3=  0.013531  0.000000 FY_A3=  0.008921  0.000000 FZ_A3=  0.004206  0.000000

          el.-nucl. inter. diff. m.t.        342.2718199670

          Madelung term for atom type:        -6.6358322507

          el.-nucl. inter. diff. m.t.        342.2718198604

          Madelung term for atom type:        -6.6358322890


 ----> total energy=                        -580.0715443323 htr

 ***** TOTAL FORCES ON ATOMS ***** 

 TOTAL FORCE FOR ATOM TYPE=  1  X=  1.292   Y=  1.292   Z=  1.292
                       FX_TOT=-0.013531 FY_TOT=-0.008920 FZ_TOT=-0.004206
 TOTAL FORCE FOR ATOM TYPE=  2  X= -1.369   Y= -1.344   Z= -1.318
                       FX_TOT= 0.013531 FY_TOT= 0.008921 FZ_TOT= 0.004206
eps_force= 0.00001max= 0.00000


 ---->(tkb*entropy) TS=                        0.0000001997 htr


 ----> free energy=                         -580.0715445320 htr


      extrapolation for T->0
 ----> total electron energy=               -580.0715444322 htr
 wrtdop title:alpha Si                                                                ordered*
 wrtdop title:alpha Si                                                                ordered*
     <vi|w|Fm> for it 2       0.000064
     <vi|w|Fm> for it 3      -0.000121
     <vi|w|Fm> for it 4       0.000003
     <vi|w|Fm> for it 5      -0.000499
     <vi|w|Fm> for it 6       0.000526
     <vi|w|Fm> for it 7       0.000008
     <vi|w|Fm> for it 8       0.008941
     <vi|w|Fm> for it 9       0.017335
     <vi|w|Fm> for it10       0.059370

----> distance of charge densities for spin  1        it= 11:   0.000296 me/bohr**3

          total charge for spin  1=   28.000000
          interst. charge =       3.701106
          mt charge=             12.149447   12.149447

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701106
          mt charge=             12.149447   12.149447

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*

     ******* it= 11  is completed********



             it=       12

          total charge for spin  1=   28.000000
          interst. charge =       3.701106
          mt charge=             12.149447   12.149447

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701106
          mt charge=             12.149447   12.149447

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*


          p o t e n t i a l   g e n e r a t o r


          multipole moments for atom type=    1

  l   m                   original                      plane wave
  0   0          -0.52203E+00    0.00000E+00         0.77848E+00   -0.18797E-14
  1   0           0.16734E-02    0.00000E+00         0.14127E-02   -0.88324E-15
  1   1          -0.49363E-02    0.31538E-02        -0.40563E-02    0.25988E-02
  1  -1           0.49363E-02    0.31538E-02         0.40563E-02    0.25988E-02
  1   1          -0.49363E-02    0.31538E-02        -0.40563E-02    0.25988E-02
  1  -1           0.49363E-02    0.31538E-02         0.40563E-02    0.25988E-02
  2   0           0.52203E-03    0.00000E+00         0.49875E-03    0.30513E-16
  2   1           0.12346E-01   -0.18690E-01         0.11743E-01   -0.17751E-01
  2  -1          -0.12346E-01   -0.18690E-01        -0.11743E-01   -0.17751E-01
  2   2          -0.29032E-03    0.58685E-02        -0.27746E-03    0.56344E-02
  2  -2          -0.29032E-03   -0.58685E-02        -0.27746E-03   -0.56344E-02
  2   1           0.12346E-01   -0.18690E-01         0.11743E-01   -0.17751E-01
  2  -1          -0.12346E-01   -0.18690E-01        -0.11743E-01   -0.17751E-01
  2   2          -0.29032E-03    0.58685E-02        -0.27746E-03    0.56344E-02
  2  -2          -0.29032E-03   -0.58685E-02        -0.27746E-03   -0.56344E-02
  3   0          -0.84953E-02    0.00000E+00        -0.82483E-02   -0.11537E-14
  3   1          -0.10736E-01    0.72030E-02        -0.10356E-01    0.69546E-02
  3  -1           0.10736E-01    0.72030E-02         0.10356E-01    0.69546E-02
  3   2          -0.55444E-05    0.46967E+00        -0.47340E-05    0.46256E+00
  3  -2          -0.55444E-05   -0.46967E+00        -0.47340E-05   -0.46256E+00
  3   3           0.13842E-01    0.92682E-02         0.13355E-01    0.89520E-02
  3  -3          -0.13842E-01    0.92682E-02        -0.13355E-01    0.89520E-02
  3   1          -0.10736E-01    0.72030E-02        -0.10356E-01    0.69546E-02
  3  -1           0.10736E-01    0.72030E-02         0.10356E-01    0.69546E-02
  3   2          -0.55444E-05    0.46967E+00        -0.47340E-05    0.46256E+00
  3  -2          -0.55444E-05   -0.46967E+00        -0.47340E-05   -0.46256E+00
  3   3           0.13842E-01    0.92682E-02         0.13355E-01    0.89520E-02
  3  -3          -0.13842E-01    0.92682E-02        -0.13355E-01    0.89520E-02
  4   0          -0.27309E+00    0.00000E+00        -0.26912E+00    0.11287E-14
  4   1           0.34670E-03   -0.37977E-03         0.41295E-03   -0.48739E-03
  4  -1          -0.34670E-03   -0.37977E-03        -0.41295E-03   -0.48739E-03
  4   2          -0.31491E-03   -0.10924E-02        -0.30581E-03   -0.11521E-02
  4  -2          -0.31491E-03    0.10924E-02        -0.30581E-03    0.11521E-02
  4   3           0.83822E-03    0.95988E-03         0.10181E-02    0.12472E-02
  4  -3          -0.83822E-03    0.95988E-03        -0.10181E-02    0.12472E-02
  4   4          -0.16268E+00   -0.84935E-05        -0.16032E+00   -0.79850E-05
  4  -4          -0.16268E+00    0.84935E-05        -0.16032E+00    0.79850E-05
  4   1           0.34670E-03   -0.37977E-03         0.41295E-03   -0.48739E-03
  4  -1          -0.34670E-03   -0.37977E-03        -0.41295E-03   -0.48739E-03
  4   2          -0.31491E-03   -0.10924E-02        -0.30581E-03   -0.11521E-02
  4  -2          -0.31491E-03    0.10924E-02        -0.30581E-03    0.11521E-02
  4   3           0.83822E-03    0.95988E-03         0.10181E-02    0.12472E-02
  4  -3          -0.83822E-03    0.95988E-03        -0.10181E-02    0.12472E-02
  4   4          -0.16268E+00   -0.84935E-05        -0.16032E+00   -0.79850E-05
  4  -4          -0.16268E+00    0.84935E-05        -0.16032E+00    0.79850E-05
  5   0           0.53228E-02    0.00000E+00         0.52640E-02   -0.79917E-15
  5   1           0.43744E-02   -0.27155E-02         0.42149E-02   -0.26121E-02
  5  -1          -0.43744E-02   -0.27155E-02        -0.42149E-02   -0.26121E-02
  5   2           0.77403E-05    0.61510E-03         0.76071E-05    0.60126E-03
  5  -2           0.77403E-05   -0.61510E-03         0.76071E-05   -0.60126E-03
  5   3           0.17820E-01    0.11793E-01         0.17488E-01    0.11572E-01
  5  -3          -0.17820E-01    0.11793E-01        -0.17488E-01    0.11572E-01
  5   4          -0.46735E-02   -0.48302E-03        -0.45591E-02   -0.47202E-03
  5  -4          -0.46735E-02    0.48302E-03        -0.45591E-02    0.47202E-03
  5   5          -0.37256E-02    0.26169E-02        -0.37317E-02    0.26183E-02
  5  -5           0.37256E-02    0.26169E-02         0.37317E-02    0.26183E-02
  5   1           0.43744E-02   -0.27155E-02         0.42149E-02   -0.26121E-02
  5  -1          -0.43744E-02   -0.27155E-02        -0.42149E-02   -0.26121E-02
  5   2           0.77403E-05    0.61510E-03         0.76071E-05    0.60126E-03
  5  -2           0.77403E-05   -0.61510E-03         0.76071E-05   -0.60126E-03
  5   3           0.17820E-01    0.11793E-01         0.17488E-01    0.11572E-01
  5  -3          -0.17820E-01    0.11793E-01        -0.17488E-01    0.11572E-01
  5   4          -0.46735E-02   -0.48302E-03        -0.45591E-02   -0.47202E-03
  5  -4          -0.46735E-02    0.48302E-03        -0.45591E-02    0.47202E-03
  5   5          -0.37256E-02    0.26169E-02        -0.37317E-02    0.26183E-02
  5  -5           0.37256E-02    0.26169E-02         0.37317E-02    0.26183E-02
  6   0           0.10281E+00    0.00000E+00         0.10175E+00    0.12386E-14
  6   1          -0.64039E-02    0.97174E-02        -0.63488E-02    0.96355E-02
  6  -1           0.64039E-02    0.97174E-02         0.63488E-02    0.96355E-02
  6   2           0.11842E-03   -0.60791E-02         0.11734E-03   -0.60171E-02
  6  -2           0.11842E-03    0.60791E-02         0.11734E-03    0.60171E-02
  6   3          -0.42897E-02   -0.62276E-02        -0.42488E-02   -0.61689E-02
  6  -3           0.42897E-02   -0.62276E-02         0.42488E-02   -0.61689E-02
  6   4          -0.19311E+00   -0.54792E-05        -0.19113E+00   -0.55820E-05
  6  -4          -0.19311E+00    0.54792E-05        -0.19113E+00    0.55820E-05
  6   5          -0.97093E-02    0.14433E-01        -0.96202E-02    0.14304E-01
  6  -5           0.97093E-02    0.14433E-01         0.96202E-02    0.14304E-01
  6   6           0.17606E-03   -0.20776E-02         0.17447E-03   -0.20575E-02
  6  -6           0.17606E-03    0.20776E-02         0.17447E-03    0.20575E-02
  6   1          -0.64039E-02    0.97174E-02        -0.63488E-02    0.96355E-02
  6  -1           0.64039E-02    0.97174E-02         0.63488E-02    0.96355E-02
  6   2           0.11842E-03   -0.60791E-02         0.11734E-03   -0.60171E-02
  6  -2           0.11842E-03    0.60791E-02         0.11734E-03    0.60171E-02
  6   3          -0.42897E-02   -0.62276E-02        -0.42488E-02   -0.61689E-02
  6  -3           0.42897E-02   -0.62276E-02         0.42488E-02   -0.61689E-02
  6   4          -0.19311E+00   -0.54792E-05        -0.19113E+00   -0.55820E-05
  6  -4          -0.19311E+00    0.54792E-05        -0.19113E+00    0.55820E-05
  6   5          -0.97093E-02    0.14433E-01        -0.96202E-02    0.14304E-01
  6  -5           0.97093E-02    0.14433E-01         0.96202E-02    0.14304E-01
  6   6           0.17606E-03   -0.20776E-02         0.17447E-03   -0.20575E-02
  6  -6           0.17606E-03    0.20776E-02         0.17447E-03    0.20575E-02
  7   0           0.24636E-02    0.00000E+00         0.24471E-02    0.47632E-14
  7   1           0.51584E-02   -0.35463E-02         0.51444E-02   -0.35370E-02
  7  -1          -0.51584E-02   -0.35463E-02        -0.51444E-02   -0.35370E-02
  7   2           0.24198E-05   -0.12873E+00         0.24105E-05   -0.12878E+00
  7  -2           0.24198E-05    0.12873E+00         0.24105E-05    0.12878E+00
  7   3          -0.12548E-02   -0.85873E-03        -0.12390E-02   -0.84835E-03
  7  -3           0.12548E-02   -0.85873E-03         0.12390E-02   -0.84835E-03
  7   4           0.24426E-02   -0.36118E-03         0.24431E-02   -0.36207E-03
  7  -4           0.24426E-02    0.36118E-03         0.24431E-02    0.36207E-03
  7   5          -0.27215E-02    0.18617E-02        -0.27404E-02    0.18744E-02
  7  -5           0.27215E-02    0.18617E-02         0.27404E-02    0.18744E-02
  7   6           0.43108E-05   -0.11780E+00         0.42436E-05   -0.11784E+00
  7  -6           0.43108E-05    0.11780E+00         0.42436E-05    0.11784E+00
  7   7          -0.47002E-02   -0.32247E-02        -0.46773E-02   -0.32095E-02
  7  -7           0.47002E-02   -0.32247E-02         0.46773E-02   -0.32095E-02
  7   1           0.51584E-02   -0.35463E-02         0.51444E-02   -0.35370E-02
  7  -1          -0.51584E-02   -0.35463E-02        -0.51444E-02   -0.35370E-02
  7   2           0.24198E-05   -0.12873E+00         0.24105E-05   -0.12878E+00
  7  -2           0.24198E-05    0.12873E+00         0.24105E-05    0.12878E+00
  7   3          -0.12548E-02   -0.85873E-03        -0.12390E-02   -0.84835E-03
  7  -3           0.12548E-02   -0.85873E-03         0.12390E-02   -0.84835E-03
  7   4           0.24426E-02   -0.36118E-03         0.24431E-02   -0.36207E-03
  7  -4           0.24426E-02    0.36118E-03         0.24431E-02    0.36207E-03
  7   5          -0.27215E-02    0.18617E-02        -0.27404E-02    0.18744E-02
  7  -5           0.27215E-02    0.18617E-02         0.27404E-02    0.18744E-02
  7   6           0.43108E-05   -0.11780E+00         0.42436E-05   -0.11784E+00
  7  -6           0.43108E-05    0.11780E+00         0.42436E-05    0.11784E+00
  7   7          -0.47002E-02   -0.32247E-02        -0.46773E-02   -0.32095E-02
  7  -7           0.47002E-02   -0.32247E-02         0.46773E-02   -0.32095E-02
  8   0           0.52642E-01    0.00000E+00         0.56887E-01   -0.10915E-14
  8   1           0.59092E-03   -0.93582E-03         0.52885E-03   -0.83505E-03
  8  -1          -0.59092E-03   -0.93582E-03        -0.52885E-03   -0.83505E-03
  8   2           0.10441E-03    0.31323E-02         0.11464E-03    0.34713E-02
  8  -2           0.10441E-03   -0.31323E-02         0.11464E-03   -0.34713E-02
  8   3          -0.88121E-03   -0.12354E-02        -0.11223E-02   -0.16026E-02
  8  -3           0.88121E-03   -0.12354E-02         0.11223E-02   -0.16026E-02
  8   4           0.19352E-01    0.86411E-05         0.20944E-01    0.86869E-05
  8  -4           0.19352E-01   -0.86411E-05         0.20944E-01   -0.86869E-05
  8   5          -0.56800E-02    0.85186E-02        -0.61403E-02    0.92034E-02
  8  -5           0.56800E-02    0.85186E-02         0.61403E-02    0.92034E-02
  8   6           0.32655E-03   -0.14342E-02         0.33087E-03   -0.14899E-02
  8  -6           0.32655E-03    0.14342E-02         0.33087E-03    0.14899E-02
  8   7          -0.33965E-02   -0.50344E-02        -0.38739E-02   -0.57563E-02
  8  -7           0.33965E-02   -0.50344E-02         0.38739E-02   -0.57563E-02
  8   8           0.29792E-01   -0.13932E-05         0.32206E-01   -0.21262E-05
  8  -8           0.29792E-01    0.13932E-05         0.32206E-01    0.21262E-05
  8   1           0.59092E-03   -0.93582E-03         0.52885E-03   -0.83505E-03
  8  -1          -0.59092E-03   -0.93582E-03        -0.52885E-03   -0.83505E-03
  8   2           0.10441E-03    0.31323E-02         0.11464E-03    0.34713E-02
  8  -2           0.10441E-03   -0.31323E-02         0.11464E-03   -0.34713E-02
  8   3          -0.88121E-03   -0.12354E-02        -0.11223E-02   -0.16026E-02
  8  -3           0.88121E-03   -0.12354E-02         0.11223E-02   -0.16026E-02
  8   4           0.19352E-01    0.86411E-05         0.20944E-01    0.86869E-05
  8  -4           0.19352E-01   -0.86411E-05         0.20944E-01   -0.86869E-05
  8   5          -0.56800E-02    0.85186E-02        -0.61403E-02    0.92034E-02
  8  -5           0.56800E-02    0.85186E-02         0.61403E-02    0.92034E-02
  8   6           0.32655E-03   -0.14342E-02         0.33087E-03   -0.14899E-02
  8  -6           0.32655E-03    0.14342E-02         0.33087E-03    0.14899E-02
  8   7          -0.33965E-02   -0.50344E-02        -0.38739E-02   -0.57563E-02
  8  -7           0.33965E-02   -0.50344E-02         0.38739E-02   -0.57563E-02
  8   8           0.29792E-01   -0.13932E-05         0.32206E-01   -0.21262E-05
  8  -8           0.29792E-01    0.13932E-05         0.32206E-01    0.21262E-05

          multipole moments for atom type=    2

  l   m                   original                      plane wave
  0   0          -0.52203E+00    0.00000E+00         0.77848E+00   -0.10188E-14
  1   0          -0.16734E-02    0.00000E+00        -0.14127E-02    0.36825E-15
  1   1           0.49363E-02   -0.31538E-02         0.40563E-02   -0.25988E-02
  1  -1          -0.49363E-02   -0.31538E-02        -0.40563E-02   -0.25988E-02
  1   1           0.49363E-02   -0.31538E-02         0.40563E-02   -0.25988E-02
  1  -1          -0.49363E-02   -0.31538E-02        -0.40563E-02   -0.25988E-02
  2   0           0.52203E-03    0.00000E+00         0.49874E-03    0.16451E-16
  2   1           0.12346E-01   -0.18690E-01         0.11743E-01   -0.17751E-01
  2  -1          -0.12346E-01   -0.18690E-01        -0.11743E-01   -0.17751E-01
  2   2          -0.29035E-03    0.58685E-02        -0.27749E-03    0.56344E-02
  2  -2          -0.29035E-03   -0.58685E-02        -0.27749E-03   -0.56344E-02
  2   1           0.12346E-01   -0.18690E-01         0.11743E-01   -0.17751E-01
  2  -1          -0.12346E-01   -0.18690E-01        -0.11743E-01   -0.17751E-01
  2   2          -0.29035E-03    0.58685E-02        -0.27749E-03    0.56344E-02
  2  -2          -0.29035E-03   -0.58685E-02        -0.27749E-03   -0.56344E-02
  3   0           0.84952E-02    0.00000E+00         0.82483E-02   -0.31654E-15
  3   1           0.10736E-01   -0.72030E-02         0.10357E-01   -0.69546E-02
  3  -1          -0.10736E-01   -0.72030E-02        -0.10357E-01   -0.69546E-02
  3   2           0.55912E-05   -0.46967E+00         0.47831E-05   -0.46256E+00
  3  -2           0.55912E-05    0.46967E+00         0.47831E-05    0.46256E+00
  3   3          -0.13842E-01   -0.92682E-02        -0.13355E-01   -0.89520E-02
  3  -3           0.13842E-01   -0.92682E-02         0.13355E-01   -0.89520E-02
  3   1           0.10736E-01   -0.72030E-02         0.10357E-01   -0.69546E-02
  3  -1          -0.10736E-01   -0.72030E-02        -0.10357E-01   -0.69546E-02
  3   2           0.55912E-05   -0.46967E+00         0.47831E-05   -0.46256E+00
  3  -2           0.55912E-05    0.46967E+00         0.47831E-05    0.46256E+00
  3   3          -0.13842E-01   -0.92682E-02        -0.13355E-01   -0.89520E-02
  3  -3           0.13842E-01   -0.92682E-02         0.13355E-01   -0.89520E-02
  4   0          -0.27309E+00    0.00000E+00        -0.26912E+00    0.24794E-14
  4   1           0.34671E-03   -0.37969E-03         0.41296E-03   -0.48732E-03
  4  -1          -0.34671E-03   -0.37969E-03        -0.41296E-03   -0.48732E-03
  4   2          -0.31491E-03   -0.10924E-02        -0.30580E-03   -0.11522E-02
  4  -2          -0.31491E-03    0.10924E-02        -0.30580E-03    0.11522E-02
  4   3           0.83822E-03    0.96039E-03         0.10181E-02    0.12477E-02
  4  -3          -0.83822E-03    0.96039E-03        -0.10181E-02    0.12477E-02
  4   4          -0.16268E+00   -0.85624E-05        -0.16032E+00   -0.80561E-05
  4  -4          -0.16268E+00    0.85624E-05        -0.16032E+00    0.80561E-05
  4   1           0.34671E-03   -0.37969E-03         0.41296E-03   -0.48732E-03
  4  -1          -0.34671E-03   -0.37969E-03        -0.41296E-03   -0.48732E-03
  4   2          -0.31491E-03   -0.10924E-02        -0.30580E-03   -0.11522E-02
  4  -2          -0.31491E-03    0.10924E-02        -0.30580E-03    0.11522E-02
  4   3           0.83822E-03    0.96039E-03         0.10181E-02    0.12477E-02
  4  -3          -0.83822E-03    0.96039E-03        -0.10181E-02    0.12477E-02
  4   4          -0.16268E+00   -0.85624E-05        -0.16032E+00   -0.80561E-05
  4  -4          -0.16268E+00    0.85624E-05        -0.16032E+00    0.80561E-05
  5   0          -0.53228E-02    0.00000E+00        -0.52640E-02   -0.23671E-14
  5   1          -0.43744E-02    0.27155E-02        -0.42150E-02    0.26121E-02
  5  -1           0.43744E-02    0.27155E-02         0.42150E-02    0.26121E-02
  5   2          -0.77890E-05   -0.61501E-03        -0.76562E-05   -0.60117E-03
  5  -2          -0.77890E-05    0.61501E-03        -0.76562E-05    0.60117E-03
  5   3          -0.17820E-01   -0.11793E-01        -0.17488E-01   -0.11572E-01
  5  -3           0.17820E-01   -0.11793E-01         0.17488E-01   -0.11572E-01
  5   4           0.46738E-02    0.48354E-03         0.45594E-02    0.47257E-03
  5  -4           0.46738E-02   -0.48354E-03         0.45594E-02   -0.47257E-03
  5   5           0.37236E-02   -0.26169E-02         0.37296E-02   -0.26183E-02
  5  -5          -0.37236E-02   -0.26169E-02        -0.37296E-02   -0.26183E-02
  5   1          -0.43744E-02    0.27155E-02        -0.42150E-02    0.26121E-02
  5  -1           0.43744E-02    0.27155E-02         0.42150E-02    0.26121E-02
  5   2          -0.77890E-05   -0.61501E-03        -0.76562E-05   -0.60117E-03
  5  -2          -0.77890E-05    0.61501E-03        -0.76562E-05    0.60117E-03
  5   3          -0.17820E-01   -0.11793E-01        -0.17488E-01   -0.11572E-01
  5  -3           0.17820E-01   -0.11793E-01         0.17488E-01   -0.11572E-01
  5   4           0.46738E-02    0.48354E-03         0.45594E-02    0.47257E-03
  5  -4           0.46738E-02   -0.48354E-03         0.45594E-02   -0.47257E-03
  5   5           0.37236E-02   -0.26169E-02         0.37296E-02   -0.26183E-02
  5  -5          -0.37236E-02   -0.26169E-02        -0.37296E-02   -0.26183E-02
  6   0           0.10281E+00    0.00000E+00         0.10175E+00    0.23125E-14
  6   1          -0.64039E-02    0.97175E-02        -0.63488E-02    0.96356E-02
  6  -1           0.64039E-02    0.97175E-02         0.63488E-02    0.96356E-02
  6   2           0.11860E-03   -0.60791E-02         0.11752E-03   -0.60171E-02
  6  -2           0.11860E-03    0.60791E-02         0.11752E-03    0.60171E-02
  6   3          -0.42897E-02   -0.62284E-02        -0.42488E-02   -0.61697E-02
  6  -3           0.42897E-02   -0.62284E-02         0.42488E-02   -0.61697E-02
  6   4          -0.19311E+00   -0.55885E-05        -0.19113E+00   -0.56943E-05
  6  -4          -0.19311E+00    0.55885E-05        -0.19113E+00    0.56943E-05
  6   5          -0.97095E-02    0.14433E-01        -0.96203E-02    0.14304E-01
  6  -5           0.97095E-02    0.14433E-01         0.96203E-02    0.14304E-01
  6   6           0.17553E-03   -0.20772E-02         0.17391E-03   -0.20571E-02
  6  -6           0.17553E-03    0.20772E-02         0.17391E-03    0.20571E-02
  6   1          -0.64039E-02    0.97175E-02        -0.63488E-02    0.96356E-02
  6  -1           0.64039E-02    0.97175E-02         0.63488E-02    0.96356E-02
  6   2           0.11860E-03   -0.60791E-02         0.11752E-03   -0.60171E-02
  6  -2           0.11860E-03    0.60791E-02         0.11752E-03    0.60171E-02
  6   3          -0.42897E-02   -0.62284E-02        -0.42488E-02   -0.61697E-02
  6  -3           0.42897E-02   -0.62284E-02         0.42488E-02   -0.61697E-02
  6   4          -0.19311E+00   -0.55885E-05        -0.19113E+00   -0.56943E-05
  6  -4          -0.19311E+00    0.55885E-05        -0.19113E+00    0.56943E-05
  6   5          -0.97095E-02    0.14433E-01        -0.96203E-02    0.14304E-01
  6  -5           0.97095E-02    0.14433E-01         0.96203E-02    0.14304E-01
  6   6           0.17553E-03   -0.20772E-02         0.17391E-03   -0.20571E-02
  6  -6           0.17553E-03    0.20772E-02         0.17391E-03    0.20571E-02
  7   0          -0.24634E-02    0.00000E+00        -0.24470E-02   -0.30876E-15
  7   1          -0.51588E-02    0.35463E-02        -0.51448E-02    0.35370E-02
  7  -1           0.51588E-02    0.35463E-02         0.51448E-02    0.35370E-02
  7   2          -0.24077E-05    0.12873E+00        -0.23974E-05    0.12878E+00
  7  -2          -0.24077E-05   -0.12873E+00        -0.23974E-05   -0.12878E+00
  7   3           0.12555E-02    0.85877E-03         0.12398E-02    0.84839E-03
  7  -3          -0.12555E-02    0.85877E-03        -0.12398E-02    0.84839E-03
  7   4          -0.24427E-02    0.36109E-03        -0.24432E-02    0.36198E-03
  7  -4          -0.24427E-02   -0.36109E-03        -0.24432E-02   -0.36198E-03
  7   5           0.27233E-02   -0.18617E-02         0.27423E-02   -0.18744E-02
  7  -5          -0.27233E-02   -0.18617E-02        -0.27423E-02   -0.18744E-02
  7   6          -0.43803E-05    0.11780E+00        -0.43125E-05    0.11784E+00
  7  -6          -0.43803E-05   -0.11780E+00        -0.43125E-05   -0.11784E+00
  7   7           0.47002E-02    0.32245E-02         0.46773E-02    0.32093E-02
  7  -7          -0.47002E-02    0.32245E-02        -0.46773E-02    0.32093E-02
  7   1          -0.51588E-02    0.35463E-02        -0.51448E-02    0.35370E-02
  7  -1           0.51588E-02    0.35463E-02         0.51448E-02    0.35370E-02
  7   2          -0.24077E-05    0.12873E+00        -0.23974E-05    0.12878E+00
  7  -2          -0.24077E-05   -0.12873E+00        -0.23974E-05   -0.12878E+00
  7   3           0.12555E-02    0.85877E-03         0.12398E-02    0.84839E-03
  7  -3          -0.12555E-02    0.85877E-03        -0.12398E-02    0.84839E-03
  7   4          -0.24427E-02    0.36109E-03        -0.24432E-02    0.36198E-03
  7  -4          -0.24427E-02   -0.36109E-03        -0.24432E-02   -0.36198E-03
  7   5           0.27233E-02   -0.18617E-02         0.27423E-02   -0.18744E-02
  7  -5          -0.27233E-02   -0.18617E-02        -0.27423E-02   -0.18744E-02
  7   6          -0.43803E-05    0.11780E+00        -0.43125E-05    0.11784E+00
  7  -6          -0.43803E-05   -0.11780E+00        -0.43125E-05   -0.11784E+00
  7   7           0.47002E-02    0.32245E-02         0.46773E-02    0.32093E-02
  7  -7          -0.47002E-02    0.32245E-02        -0.46773E-02    0.32093E-02
  8   0           0.52642E-01    0.00000E+00         0.56886E-01   -0.99872E-14
  8   1           0.59090E-03   -0.93638E-03         0.52883E-03   -0.83565E-03
  8  -1          -0.59090E-03   -0.93638E-03        -0.52883E-03   -0.83565E-03
  8   2           0.10447E-03    0.31325E-02         0.11473E-03    0.34716E-02
  8  -2           0.10447E-03   -0.31325E-02         0.11473E-03   -0.34716E-02
  8   3          -0.88122E-03   -0.12358E-02        -0.11223E-02   -0.16031E-02
  8  -3           0.88122E-03   -0.12358E-02         0.11223E-02   -0.16031E-02
  8   4           0.19351E-01    0.87882E-05         0.20944E-01    0.88494E-05
  8  -4           0.19351E-01   -0.87882E-05         0.20944E-01   -0.88494E-05
  8   5          -0.56801E-02    0.85179E-02        -0.61404E-02    0.92026E-02
  8  -5           0.56801E-02    0.85179E-02         0.61404E-02    0.92026E-02
  8   6           0.32691E-03   -0.14344E-02         0.33123E-03   -0.14900E-02
  8  -6           0.32691E-03    0.14344E-02         0.33123E-03    0.14900E-02
  8   7          -0.33965E-02   -0.50330E-02        -0.38739E-02   -0.57548E-02
  8  -7           0.33965E-02   -0.50330E-02         0.38739E-02   -0.57548E-02
  8   8           0.29792E-01   -0.14592E-05         0.32206E-01   -0.21945E-05
  8  -8           0.29792E-01    0.14592E-05         0.32206E-01    0.21945E-05
  8   1           0.59090E-03   -0.93638E-03         0.52883E-03   -0.83565E-03
  8  -1          -0.59090E-03   -0.93638E-03        -0.52883E-03   -0.83565E-03
  8   2           0.10447E-03    0.31325E-02         0.11473E-03    0.34716E-02
  8  -2           0.10447E-03   -0.31325E-02         0.11473E-03   -0.34716E-02
  8   3          -0.88122E-03   -0.12358E-02        -0.11223E-02   -0.16031E-02
  8  -3           0.88122E-03   -0.12358E-02         0.11223E-02   -0.16031E-02
  8   4           0.19351E-01    0.87882E-05         0.20944E-01    0.88494E-05
  8  -4           0.19351E-01   -0.87882E-05         0.20944E-01   -0.88494E-05
  8   5          -0.56801E-02    0.85179E-02        -0.61404E-02    0.92026E-02
  8  -5           0.56801E-02    0.85179E-02         0.61404E-02    0.92026E-02
  8   6           0.32691E-03   -0.14344E-02         0.33123E-03   -0.14900E-02
  8  -6           0.32691E-03    0.14344E-02         0.33123E-03    0.14900E-02
  8   7          -0.33965E-02   -0.50330E-02        -0.38739E-02   -0.57548E-02
  8  -7           0.33965E-02   -0.50330E-02         0.38739E-02   -0.57548E-02
  8   8           0.29792E-01   -0.14592E-05         0.32206E-01   -0.21945E-05
  8  -8           0.29792E-01    0.14592E-05         0.32206E-01    0.21945E-05

          integral of pseudo charge density inside the slab=        0.000000   0.000000

     coulomb potential in the interstitial region:

          density-coulomb potential integrals


          interstitial :                       0.7807214476

          muffin tin spheres :              -845.1833360490

          total density-coulomb potenti     -844.4026146015
 wrtdop title:alpha Si                                                                ordered*

     interstitial potential average (vbar) = -0.027906

 999idsprs in starting of nmtxad= 0

          density-effective potential integrals for spin  1


          interstitial :                      -0.4749445941

          muffin tin spheres :              -897.8378435358

          total density-effective poten     -898.3127881299

          charge density-energy density integrals


          interstitial :                      -0.9795634034

          muffin tin spheres :               -40.7649502450

          total charge density-energy d      -41.7445136484
 vgen: pottot deleted
 wrtdop title:alpha Si                                                                ordered*
 IT=  12  ISEC1=  99 standard diagonalization
  Atom  1 3s branch from -4.72 to  1.07 htr. ; e_l = -0.1341
  Atom  1 3p branch from -3.11 to  1.55 htr. ; e_l =  0.0500
  Atom  1 3d branch from -9.99 to  1.95 htr. ; e_l =  0.2439
  Atom  1 4f branch from -9.99 to  4.11 htr. ; e_l =  0.4116
  Atom  2 3s branch from -4.72 to  1.07 htr. ; e_l = -0.1341
  Atom  2 3p branch from -3.11 to  1.55 htr. ; e_l =  0.0500
  Atom  2 3d branch from -9.99 to  1.95 htr. ; e_l =  0.2439
  Atom  2 4f branch from -9.99 to  4.11 htr. ; e_l =  0.4116


 wavefunction parameters for atom type  1:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.13409        4.7800587E-01  -2.4465369E-01    2       -3.1232930E-01  -7.4530270E-01    2   1.0766710E-01   4.3267158E-01
  1   0.04999       -5.5348710E-01   9.9418273E-02    1        2.6599579E-01   7.3396796E-01    2   7.9521950E-02   4.3268664E-01
  2   0.24387        6.4439218E-01   1.6344253E-01    0       -2.3289854E-01  -7.3053287E-01    1   6.5178945E-02   4.3268414E-01
  3   0.41164        8.3800006E-01   7.5544843E-01    0       -1.2158489E-01  -6.2593056E-01    1   1.3122243E-02   4.3267873E-01
  4   0.41164        9.7736353E-01   1.4626809E+00    0       -8.2132587E-02  -5.6560527E-01    1   4.9166925E-03   4.3266820E-01
  5   0.41164        1.0889890E+00   2.2153832E+00    0       -6.1660945E-02  -5.2273998E-01    1   2.3795468E-03   4.3265549E-01
  6   0.41164        1.1859741E+00   3.0206232E+00    0       -4.8925250E-02  -4.8940792E-01    1   1.3189789E-03   4.3264038E-01
  7   0.41164        1.2734321E+00   3.8786657E+00    0       -4.0219931E-02  -4.6223314E-01    1   7.9808739E-04   4.3262283E-01
  8   0.41164        1.3539864E+00   4.7881049E+00    0       -3.3904804E-02  -4.3940067E-01    1   5.1413446E-04   4.3260278E-01


 wavefunction parameters for atom type  2:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.13409        4.7800586E-01  -2.4465369E-01    2       -3.1232931E-01  -7.4530270E-01    2   1.0766711E-01   4.3267158E-01
  1   0.04999       -5.5348710E-01   9.9418283E-02    1        2.6599579E-01   7.3396796E-01    2   7.9521951E-02   4.3268664E-01
  2   0.24387        6.4439217E-01   1.6344252E-01    0       -2.3289854E-01  -7.3053288E-01    1   6.5178946E-02   4.3268414E-01
  3   0.41164        8.3800006E-01   7.5544842E-01    0       -1.2158489E-01  -6.2593056E-01    1   1.3122243E-02   4.3267873E-01
  4   0.41164        9.7736353E-01   1.4626808E+00    0       -8.2132587E-02  -5.6560527E-01    1   4.9166925E-03   4.3266820E-01
  5   0.41164        1.0889890E+00   2.2153831E+00    0       -6.1660945E-02  -5.2273998E-01    1   2.3795469E-03   4.3265549E-01
  6   0.41164        1.1859741E+00   3.0206232E+00    0       -4.8925250E-02  -4.8940792E-01    1   1.3189789E-03   4.3264038E-01
  7   0.41164        1.2734321E+00   3.8786657E+00    0       -4.0219931E-02  -4.6223314E-01    1   7.9808739E-04   4.3262283E-01
  8   0.41164        1.3539864E+00   4.7881049E+00    0       -3.3904804E-02  -4.3940067E-01    1   5.1413446E-04   4.3260278E-01


 k=(    0.444444    0.444444    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.153280   -0.031293    0.159306    0.163882    0.258587
         0.324573    0.329870    0.487745


 k=(    0.333333    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155807   -0.016636    0.134401    0.147133    0.282764
         0.327031    0.355424    0.456842


 k=(    0.222222    0.444444    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149604   -0.001542    0.095572    0.126843    0.263607
         0.363102    0.395648    0.410692


 k=(    0.111111    0.444444    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133882   -0.013596    0.094256    0.110453    0.240047
         0.284585    0.479228    0.481202


 k=(    0.000000    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.109044   -0.046475    0.102274    0.107596    0.228001
         0.244450    0.544473    0.545264


 k=(   -0.111111    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.085594   -0.069897    0.085729    0.103582    0.233509
         0.270559    0.542643    0.551618


 k=(    0.222222    0.555556    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107770   -0.042866    0.061525    0.114177    0.246329
         0.342994    0.468495    0.471697


 k=(    0.333333    0.555556    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128235   -0.032822    0.076669    0.132189    0.268738
         0.386840    0.397743    0.434831


 k=(    0.555556    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143573   -0.035778    0.125162    0.151858    0.282834
         0.327785    0.346526    0.501226


 k=(    0.444444    0.333333    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155848   -0.016444    0.132471    0.148931    0.283239
         0.328016    0.353719    0.455743


 k=(    0.333333    0.333333    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165140   -0.000120    0.121288    0.166960    0.290187
         0.336917    0.339240    0.476509


 k=(    0.222222    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164629    0.017667    0.096393    0.146835    0.304000
         0.336244    0.384323    0.403148


 k=(    0.111111    0.333333    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153777    0.012629    0.094953    0.119002    0.273270
         0.310800    0.402721    0.466475


 k=(    0.000000    0.333333    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132897   -0.016358    0.090604    0.115990    0.245257
         0.279235    0.479960    0.483708


 k=(   -0.111111    0.333333    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104154   -0.048509    0.083709    0.094294    0.265639
         0.279963    0.470633    0.535967


 k=(   -0.222222    0.333333    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.090022   -0.059316    0.061330    0.092609    0.277041
         0.343700    0.449011    0.458082


 k=(    0.666667    0.333333    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114369   -0.035890    0.057317    0.109589    0.294949
         0.369553    0.431857    0.447727


 k=(    0.555556    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138135   -0.025714    0.090673    0.132751    0.308918
         0.319094    0.402803    0.446685


 k=(    0.444444    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149664   -0.001050    0.093756    0.128137    0.264889
         0.361787    0.395654    0.409422


 k=(    0.333333    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164637    0.017879    0.095589    0.147519    0.304347
         0.337081    0.383680    0.401195


 k=(    0.222222    0.222222    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169430    0.026843    0.085213    0.166317    0.303689
         0.364729    0.374784    0.419056


 k=(    0.111111    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163615    0.011823    0.100896    0.146666    0.310878
         0.335967    0.378024    0.407317


 k=(    0.000000    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147501   -0.009116    0.094899    0.132985    0.270625
         0.356049    0.397572    0.412258


 k=(   -0.111111    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122437   -0.030788    0.069179    0.113230    0.291024
         0.346659    0.390281    0.479096


 k=(   -0.222222    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.093423   -0.055017    0.059246    0.085568    0.343711
         0.355316    0.374634    0.436209


 k=(    0.666667    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.097547   -0.048784    0.061523    0.080911    0.346072
         0.350041    0.373358    0.440554


 k=(    0.555556    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125938   -0.022156    0.070718    0.105886    0.286354
         0.351667    0.385263    0.480628


 k=(    0.444444    0.111111    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133913   -0.013404    0.092962    0.111508    0.241158
         0.283572    0.478323    0.480871


 k=(    0.333333    0.111111    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153753    0.012445    0.095195    0.118980    0.273444
         0.310523    0.402767    0.466291


 k=(    0.222222    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163587    0.011512    0.101809    0.146042    0.310476
         0.335206    0.378640    0.409064


 k=(    0.111111    0.111111    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163011   -0.008656    0.128772    0.164607    0.292702
         0.338562    0.348910    0.472761


 k=(    0.000000    0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152470   -0.026481    0.133392    0.154507    0.287827
         0.333142    0.355790    0.449996


 k=(   -0.111111    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133329   -0.037373    0.089779    0.141346    0.310583
         0.328710    0.400404    0.440718


 k=(   -0.222222    0.111111    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108135   -0.047597    0.056391    0.116496    0.300711
         0.373507    0.424562    0.444466


 k=(    0.666667    0.111111    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.083651   -0.066855    0.057418    0.097684    0.282996
         0.337841    0.447238    0.458981


 k=(    0.555556    0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105952   -0.045297    0.084656    0.091510    0.267532
         0.278610    0.465143    0.535450


 k=(    0.444444    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.108899   -0.046774    0.103234    0.106873    0.228438
         0.243916    0.544599    0.545104


 k=(    0.333333    0.000000    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132760   -0.016957    0.092067    0.115205    0.244237
         0.279979    0.479889    0.485021


 k=(    0.222222    0.000000    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147393   -0.009746    0.096561    0.132041    0.269258
         0.357131    0.397360    0.413956


 k=(    0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152410   -0.026706    0.134674    0.153442    0.287354
         0.331573    0.358002    0.451120


 k=(    0.000000    0.000000    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.148643   -0.042575    0.160062    0.169132    0.262150
         0.326410    0.337164    0.491927


 k=(   -0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137974   -0.048174    0.125660    0.158290    0.287066
         0.332373    0.348737    0.505690


 k=(    0.222222    0.000000    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122505   -0.045135    0.077910    0.137676    0.274764
         0.388984    0.399608    0.428465


 k=(    0.333333    0.000000    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.102677   -0.051272    0.059867    0.119117    0.252256
         0.337270    0.468608    0.474212


 k=(    0.555556    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.078474   -0.077363    0.081258    0.108248    0.239502
         0.264779    0.538562    0.551413


 k=(    0.444444   -0.111111    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.084109   -0.071571    0.084954    0.104556    0.234726
         0.269327    0.541743    0.551730


 k=(    0.333333   -0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103600   -0.049506    0.084206    0.094376    0.265845
         0.279578    0.471764    0.536105


 k=(    0.222222   -0.111111    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122129   -0.031676    0.069958    0.113224    0.289558
         0.347963    0.391349    0.479274


 k=(    0.111111   -0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133163   -0.037753    0.089736    0.141735    0.309838
         0.329372    0.400208    0.441880


 k=(    0.000000   -0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137915   -0.048240    0.124476    0.159654    0.287522
         0.333934    0.346263    0.505543


 k=(    0.111111    0.111111    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.138153   -0.047979    0.130465    0.152824    0.285868
         0.330286    0.353446    0.506323


 k=(    0.222222    0.111111    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133849   -0.036787    0.095366    0.134739    0.313951
         0.321067    0.407414    0.441289


 k=(    0.333333    0.111111    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123242   -0.029372    0.072701    0.108563    0.290730
         0.347842    0.386361    0.483788


 k=(    0.444444    0.111111    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105166   -0.046751    0.084807    0.092219    0.266954
         0.278934    0.467494    0.535857


 k=(    0.555556    0.222222    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107504   -0.043140    0.060397    0.115273    0.247610
         0.341744    0.466893    0.471877


 k=(    0.333333   -0.222222    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.088828   -0.060831    0.060608    0.093662    0.278259
         0.342444    0.448233    0.458743


 k=(    0.222222   -0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.092355   -0.056556    0.059054    0.086289    0.344310
         0.355083    0.375080    0.435353


 k=(    0.111111   -0.222222    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.107762   -0.048133    0.055891    0.117150    0.302189
         0.371762    0.424121    0.444565


 k=(    0.000000    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122418   -0.045102    0.076694    0.138745    0.276222
         0.388455    0.397627    0.428199


 k=(    0.111111    0.222222    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133845   -0.036652    0.093967    0.136106    0.313706
         0.322507    0.405715    0.440282


 k=(    0.222222    0.222222    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139156   -0.021638    0.074186    0.147349    0.284874
         0.388294    0.391059    0.464109


 k=(    0.333333    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136452   -0.012567    0.062918    0.127526    0.315591
         0.353309    0.384294    0.457796


 k=(    0.444444    0.222222    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125404   -0.023439    0.069404    0.108331    0.285807
         0.351643    0.387930    0.477879


 k=(    0.555556    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128116   -0.032855    0.075274    0.133560    0.270061
         0.385933    0.396245    0.434509


 k=(    0.333333    0.666667    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114055   -0.036412    0.056700    0.110434    0.296334
         0.367917    0.431056    0.448197


 k=(    0.222222    0.666667    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.096830   -0.049910    0.060978    0.081911    0.344986
         0.351751    0.373606    0.439645


 k=(    0.111111    0.666667    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.082090   -0.068550    0.056669    0.098526    0.284298
         0.336622    0.447320    0.458707


 k=(    0.000000    0.333333    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.102599   -0.051145    0.058677    0.119961    0.253650
         0.336088    0.467520    0.473760


 k=(    0.111111    0.333333    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123270   -0.029057    0.071175    0.109777    0.291967
         0.346539    0.386542    0.482353


 k=(    0.222222    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136471   -0.012477    0.062848    0.127497    0.315710
         0.352931    0.384607    0.458046


 k=(    0.333333    0.333333    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141151   -0.014450    0.068537    0.148211    0.285077
         0.382633    0.384140    0.470155


 k=(    0.444444    0.333333    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137818   -0.026205    0.087742    0.136429    0.306868
         0.323337    0.398963    0.446858


 k=(    0.444444    0.555556    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143520   -0.035838    0.123536    0.153717    0.283274
         0.328614    0.344756    0.501150


 k=(    0.333333    0.555556    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138010   -0.026039    0.090513    0.133232    0.307766
         0.320180    0.402669    0.447782


 k=(    0.222222    0.555556    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125739   -0.022825    0.071411    0.105803    0.284926
         0.353160    0.386201    0.480745


 k=(    0.111111    0.555556    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105703   -0.045729    0.084051    0.092346    0.266685
         0.279404    0.466263    0.535482


 k=(    0.000000    0.555556    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.079463   -0.076274    0.080299    0.108986    0.240824
         0.263607    0.537596    0.551237


 k=(    0.111111    0.444444    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105311   -0.046454    0.084192    0.092632    0.266418
         0.279549    0.467438    0.535665


 k=(    0.222222    0.444444    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125473   -0.023463    0.070731    0.107041    0.284672
         0.353135    0.387540    0.479334


 k=(    0.333333    0.444444    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137851   -0.026286    0.089041    0.135067    0.306830
         0.322233    0.400715    0.447878


 k=(    0.444444    0.444444    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143466   -0.035899    0.122144    0.155322    0.283736
         0.329990    0.342428    0.501109


 k=(    0.444444    0.444444    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155893   -0.016241    0.130911    0.150326    0.283725
         0.329357    0.351648    0.454679


 k=(    0.333333    0.444444    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165242    0.000191    0.122443    0.165163    0.289830
         0.335665    0.341500    0.475885


 k=(    0.222222    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164788    0.018348    0.097308    0.144991    0.304808
         0.334404    0.384424    0.404723


 k=(    0.111111    0.444444    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154000    0.013880    0.094611    0.118036    0.273641
         0.310805    0.401369    0.466703


 k=(    0.000000    0.444444    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133200   -0.015303    0.089611    0.116052    0.245471
         0.279251    0.479041    0.482459


 k=(   -0.111111    0.444444    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104551   -0.047804    0.083595    0.094014    0.265900
         0.279803    0.469520    0.535942


 k=(   -0.222222    0.444444    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.089974   -0.059387    0.061361    0.092607    0.277035
         0.343677    0.449397    0.457782


 k=(    0.666667    0.444444    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114248   -0.036042    0.056784    0.110244    0.294847
         0.370480    0.432309    0.446762


 k=(    0.555556    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138107   -0.025617    0.089279    0.134173    0.308805
         0.320382    0.400949    0.445762


 k=(    0.444444    0.333333    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165343    0.000488    0.123798    0.163160    0.289509
         0.335413    0.342740    0.475631


 k=(    0.333333    0.333333    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.179955    0.017494    0.165430    0.170026    0.265770
         0.329473    0.334653    0.490746


 k=(    0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184128    0.039433    0.149050    0.150888    0.287487
         0.330615    0.364860    0.405025


 k=(    0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177346    0.049581    0.122922    0.130338    0.258633
         0.324892    0.404632    0.417088


 k=(    0.000000    0.333333    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159802    0.022411    0.115980    0.121805    0.233467
         0.280593    0.469580    0.469776


 k=(   -0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133000   -0.016614    0.097150    0.110278    0.239474
         0.284374    0.480995    0.485834


 k=(   -0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.105505   -0.047360    0.064120    0.113990    0.246102
         0.342963    0.472600    0.473835


 k=(    0.666667    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.113788   -0.036122    0.048697    0.126520    0.260438
         0.422336    0.445171    0.458716


 k=(    0.555556    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141791   -0.012877    0.070034    0.145328    0.282338
         0.384274    0.386877    0.469621


 k=(    0.444444    0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164954    0.019223    0.097526    0.143721    0.306107
         0.333273    0.383823    0.404408


 k=(    0.333333    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184173    0.039813    0.147100    0.152355    0.287879
         0.331819    0.363324    0.403749


 k=(    0.222222    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192884    0.061210    0.130109    0.182530    0.301669
         0.331814    0.343424    0.428950


 k=(    0.111111    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190425    0.068445    0.120694    0.162154    0.293323
         0.343531    0.367199    0.388893


 k=(    0.000000    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176847    0.045023    0.121117    0.136666    0.261649
         0.321076    0.406677    0.419208


 k=(   -0.111111    0.222222    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153114    0.009247    0.094915    0.122634    0.272164
         0.310652    0.406595    0.466407


 k=(   -0.222222    0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123458   -0.029092    0.073796    0.107952    0.284146
         0.353731    0.389929    0.482812


 k=(    0.666667    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.112090   -0.040960    0.059641    0.110144    0.294606
         0.374914    0.427905    0.446673


 k=(    0.555556    0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137459   -0.009255    0.062825    0.124924    0.312878
         0.354256    0.384567    0.458718


 k=(    0.444444    0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154198    0.014942    0.094667    0.116882    0.274210
         0.310538    0.400055    0.466812


 k=(    0.333333    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177389    0.050157    0.120952    0.131627    0.259417
         0.324342    0.404276    0.416168


 k=(    0.222222    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190419    0.068308    0.120821    0.162226    0.293366
         0.343601    0.366988    0.388700


 k=(    0.111111    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192328    0.054805    0.136638    0.180968    0.304775
         0.338634    0.343311    0.424773


 k=(    0.000000    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183023    0.031759    0.148599    0.157987    0.292631
         0.335466    0.365892    0.398123


 k=(   -0.111111    0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163130    0.010042    0.097843    0.152275    0.307976
         0.341568    0.378026    0.402932


 k=(   -0.222222    0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134954   -0.016978    0.062470    0.131468    0.319248
         0.351893    0.384171    0.457563


 k=(   -0.333333    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110399   -0.043525    0.056505    0.114243    0.301356
         0.366966    0.425534    0.447141


 k=(    0.555556    0.111111    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.124659   -0.025411    0.070247    0.108238    0.291132
         0.347244    0.384765    0.481651


 k=(    0.444444    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133365   -0.014866    0.090096    0.115324    0.244655
         0.280031    0.477997    0.482593


 k=(    0.333333    0.000000    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159778    0.022183    0.117037    0.121039    0.233610
         0.280342    0.469421    0.469774


 k=(    0.222222    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176778    0.044154    0.123013    0.135868    0.261023
         0.321240    0.406709    0.420386


 k=(    0.111111    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182968    0.031328    0.149454    0.157749    0.292275
         0.333797    0.367735    0.399377


 k=(    0.000000    0.000000    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178115    0.008604    0.166629    0.175732    0.269637
         0.331314    0.341725    0.491544


 k=(   -0.111111    0.000000    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162683   -0.009542    0.124821    0.170477    0.293524
         0.337840    0.346801    0.472836


 k=(   -0.222222    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138136   -0.023823    0.071682    0.151758    0.288537
         0.384208    0.389057    0.464700


 k=(   -0.333333    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.109295   -0.044115    0.046715    0.132230    0.266722
         0.415435    0.438916    0.463376


 k=(    0.555556    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104479   -0.047959    0.058123    0.119249    0.252409
         0.337213    0.465623    0.473207


 k=(    0.444444   -0.111111    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104399   -0.048105    0.084091    0.093719    0.266397
         0.279225    0.469580    0.536137


 k=(    0.333333   -0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132729   -0.017453    0.096829    0.111275    0.240381
         0.283324    0.481175    0.486571


 k=(    0.222222   -0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152865    0.007938    0.095382    0.123557    0.271986
         0.310365    0.407913    0.466322


 k=(    0.111111   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162937    0.009100    0.097909    0.153347    0.306887
         0.342393    0.378607    0.403296


 k=(    0.000000   -0.111111    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162570   -0.009867    0.123863    0.172064    0.293887
         0.337997    0.345646    0.473876


 k=(   -0.111111   -0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152247   -0.027307    0.140467    0.148116    0.286031
         0.328672    0.362720    0.454685


 k=(   -0.222222   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133385   -0.037816    0.094804    0.136256    0.310380
         0.324328    0.406608    0.445201


 k=(   -0.333333   -0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108583   -0.047209    0.058486    0.114140    0.301113
         0.370239    0.422497    0.447633


 k=(    0.555556   -0.111111    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.083395   -0.067170    0.057490    0.097690    0.282977
         0.337792    0.448018    0.458424


 k=(    0.444444   -0.222222    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.088684   -0.061033    0.060688    0.093661    0.278242
         0.342388    0.449161    0.458041


 k=(    0.333333   -0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104363   -0.049256    0.063857    0.115020    0.247307
         0.341734    0.472433    0.474597


 k=(    0.222222   -0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122674   -0.030973    0.073576    0.109420    0.285130
         0.352538    0.391039    0.482510


 k=(    0.111111   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134411   -0.018594    0.062594    0.132594    0.320794
         0.351366    0.383891    0.457177


 k=(    0.000000   -0.222222    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.137785   -0.024605    0.071064    0.152979    0.290016
         0.382936    0.388094    0.465350


 k=(   -0.111111   -0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133214   -0.038062    0.093391    0.137983    0.309634
         0.326188    0.404725    0.445343


 k=(   -0.222222   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122824   -0.045128    0.082077    0.133679    0.271007
         0.391012    0.403928    0.430089


 k=(    0.333333    0.222222    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109667   -0.045664    0.060485    0.111616    0.297233
         0.374787    0.423395    0.448088


 k=(    0.444444    0.222222    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.095829   -0.051523    0.060923    0.082662    0.346738
         0.350135    0.374228    0.438978


 k=(    0.444444    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113798   -0.036747    0.055686    0.111721    0.296094
         0.369752    0.431888    0.446563


 k=(    0.333333    0.666667    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.112914   -0.037785    0.048356    0.127706    0.261714
         0.420651    0.443799    0.459536


 k=(    0.222222    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110824   -0.043344    0.059440    0.111560    0.295810
         0.375747    0.426169    0.446189


 k=(    0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109068   -0.045931    0.056431    0.115460    0.302661
         0.367683    0.424100    0.446359


 k=(    0.000000   -0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.108326   -0.045730    0.046400    0.133159    0.268135
         0.414053    0.437542    0.465294


 k=(   -0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108126   -0.047793    0.057406    0.115403    0.302547
         0.369340    0.422580    0.446584


 k=(    0.222222    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109581   -0.045713    0.059889    0.112240    0.297179
         0.375650    0.423878    0.446952


 k=(    0.333333    0.333333    0.666667):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.112016   -0.039462    0.048082    0.128772    0.263092
         0.418865    0.442330    0.460886


 k=(    0.444444    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113481   -0.037276    0.055159    0.112464    0.297568
         0.368012    0.430947    0.447254


 k=(    0.444444    0.555556    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137948   -0.025862    0.087824    0.136011    0.307740
         0.322522    0.399064    0.445837


 k=(    0.333333    0.555556    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141473   -0.013650    0.069227    0.146837    0.283644
         0.383206    0.385806    0.469672


 k=(    0.222222    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136978   -0.010819    0.062755    0.126258    0.314234
         0.353536    0.384705    0.458491


 k=(    0.111111    0.555556    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123986   -0.027071    0.069940    0.109631    0.292162
         0.346217    0.385761    0.481285


 k=(    0.000000    0.555556    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103528   -0.049458    0.057802    0.120028    0.253727
         0.336051    0.465992    0.473313


 k=(   -0.111111    0.555556    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.081969   -0.068693    0.056696    0.098529    0.284291
         0.336604    0.447606    0.458506


 k=(    0.222222    0.444444    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.095971   -0.051269    0.060717    0.082731    0.345462
         0.351663    0.374045    0.438830


 k=(    0.333333    0.444444    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113617   -0.037092    0.055643    0.111830    0.297708
         0.367101    0.430570    0.447921


 k=(    0.555556    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128005   -0.032871    0.073973    0.134788    0.271486
         0.385174    0.394438    0.434305


 k=(    0.444444    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149732   -0.000503    0.092026    0.129261    0.266251
         0.360339    0.396090    0.407818


 k=(    0.333333    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164808    0.018814    0.095612    0.146384    0.305534
         0.336027    0.383081    0.400937


 k=(    0.222222    0.444444    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169704    0.028586    0.084911    0.164768    0.302281
         0.366318    0.374106    0.419600


 k=(    0.111111    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164006    0.013941    0.099870    0.145729    0.310660
         0.335164    0.378561    0.405937


 k=(    0.000000    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148038   -0.006921    0.092898    0.133193    0.270733
         0.356016    0.397208    0.410330


 k=(   -0.111111    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123161   -0.028841    0.068015    0.113078    0.291177
         0.346343    0.389545    0.477969


 k=(   -0.222222    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.094307   -0.053729    0.059536    0.084838    0.343380
         0.355080    0.374331    0.437167


 k=(    0.666667    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.097470   -0.048930    0.061661    0.080857    0.347690
         0.348287    0.373449    0.440649


 k=(    0.555556    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125887   -0.022064    0.069313    0.107181    0.287586
         0.350079    0.385664    0.479192


 k=(    0.444444    0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164966    0.019476    0.096628    0.144437    0.306486
         0.334059    0.383132    0.402565


 k=(    0.333333    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184219    0.040226    0.145712    0.153207    0.288263
         0.333302    0.361515    0.402508


 k=(    0.222222    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192967    0.061926    0.130828    0.180542    0.301380
         0.333594    0.342430    0.428559


 k=(    0.111111    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190547    0.070183    0.120219    0.160521    0.293742
         0.343035    0.366536    0.389174


 k=(    0.000000    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177016    0.046835    0.119018    0.136786    0.261857
         0.321398    0.405910    0.417654


 k=(   -0.111111    0.333333    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153340    0.010430    0.094539    0.121784    0.272506
         0.310660    0.405298    0.466395


 k=(   -0.222222    0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123731   -0.028499    0.074541    0.106718    0.284370
         0.353727    0.388664    0.484177


 k=(    0.666667    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.112183   -0.040889    0.060245    0.109492    0.294664
         0.374003    0.427398    0.447929


 k=(    0.555556    0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137448   -0.009312    0.062870    0.124940    0.312818
         0.354478    0.384368    0.458581


 k=(    0.444444    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169973    0.030302    0.084740    0.163071    0.301054
         0.367741    0.373548    0.420107


 k=(    0.333333    0.222222    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.193048    0.062591    0.131789    0.178348    0.301176
         0.335912    0.340849    0.428281


 k=(    0.222222    0.222222    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205870    0.086461    0.177001    0.181749    0.279018
         0.328029    0.332508    0.438876


 k=(    0.111111    0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207409    0.108006    0.160522    0.168109    0.285369
         0.332392    0.359311    0.385707


 k=(    0.000000    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197525    0.094416    0.142238    0.149381    0.254361
         0.336380    0.397164    0.398120


 k=(   -0.111111    0.222222    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176849    0.044455    0.128861    0.130134    0.257940
         0.323684    0.407121    0.421692


 k=(   -0.222222    0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148067   -0.007987    0.101580    0.126259    0.263204
         0.362270    0.397650    0.416522


 k=(   -0.333333    0.222222    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.125303   -0.040034    0.081577    0.131544    0.268441
         0.389923    0.403421    0.432844


 k=(    0.555556    0.222222    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.140640   -0.017236    0.073521    0.144831    0.282209
         0.386923    0.391653    0.466432


 k=(    0.444444    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164364    0.015746    0.099891    0.144000    0.310256
         0.333456    0.379711    0.406287


 k=(    0.333333    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190662    0.071768    0.120079    0.158743    0.294273
         0.342522    0.365721    0.389312


 k=(    0.222222    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207432    0.108615    0.161575    0.166256    0.285662
         0.333162    0.358179    0.385018


 k=(    0.111111    0.111111    0.222222):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213043    0.121784    0.157146    0.195707    0.312774
         0.317128    0.322974    0.399145


 k=(    0.000000    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207136    0.100939    0.165595    0.170637    0.287360
         0.334453    0.358971    0.384559


 k=(   -0.111111    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190060    0.064034    0.120845    0.167629    0.291979
         0.343828    0.370072    0.388810


 k=(   -0.222222    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163482    0.011448    0.098809    0.150328    0.303953
         0.338473    0.382773    0.408167


 k=(   -0.333333    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135115   -0.033524    0.092176    0.136540    0.307377
         0.324838    0.404002    0.447931


 k=(    0.555556    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135828   -0.031835    0.092954    0.134153    0.312526
         0.320116    0.404983    0.441955


 k=(    0.444444    0.000000    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148461   -0.005369    0.092563    0.132447    0.269484
         0.357157    0.396462    0.410172


 k=(    0.333333    0.000000    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177115    0.047734    0.118891    0.136062    0.261448
         0.321909    0.405098    0.417353


 k=(    0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197518    0.094043    0.143555    0.148530    0.254437
         0.336156    0.397228    0.397871


 k=(    0.111111    0.000000    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207107    0.100180    0.165162    0.172168    0.287121
         0.333554    0.359990    0.384991


 k=(    0.000000    0.000000    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205252    0.077742    0.179182    0.188600    0.283565
         0.328418    0.336848    0.435087


 k=(   -0.111111    0.000000    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192076    0.052984    0.133767    0.187444    0.305130
         0.332348    0.347760    0.425545


 k=(   -0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168603    0.022149    0.085418    0.171324    0.306959
         0.361221    0.376654    0.417547


 k=(   -0.333333    0.000000    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138984   -0.020978    0.069508    0.152122    0.288610
         0.381218    0.386885    0.467507


 k=(    0.555556    0.000000    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124753   -0.040089    0.074716    0.138137    0.274946
         0.386089    0.395847    0.430784


 k=(    0.444444   -0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123567   -0.027820    0.067694    0.112882    0.289856
         0.347367    0.389882    0.476986


 k=(    0.333333   -0.111111    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153316    0.010254    0.094749    0.121785    0.272672
         0.310392    0.405347    0.466203


 k=(    0.222222   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176724    0.043271    0.128821    0.131434    0.258504
         0.322792    0.407563    0.422292


 k=(    0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189931    0.062400    0.121385    0.169152    0.291682
         0.343831    0.370943    0.388690


 k=(    0.000000   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.191988    0.052293    0.133235    0.189232    0.305470
         0.330636    0.348713    0.425962


 k=(   -0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182815    0.030216    0.151201    0.157566    0.291169
         0.330132    0.371984    0.403299


 k=(   -0.222222   -0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163041    0.009011    0.100947    0.149999    0.306635
         0.338017    0.380636    0.410277


 k=(   -0.333333   -0.111111    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134922   -0.017114    0.062569    0.131518    0.319007
         0.352541    0.383699    0.457112


 k=(   -0.444444   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109867   -0.044125    0.054571    0.116628    0.300793
         0.370371    0.427443    0.444635


 k=(    0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.094148   -0.053997    0.059720    0.084788    0.343905
         0.354258    0.374566    0.437306


 k=(    0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123225   -0.029806    0.075069    0.106977    0.285592
         0.352506    0.388550    0.485129


 k=(    0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147595   -0.009678    0.101760    0.127355    0.264368
         0.360929    0.398096    0.417169


 k=(    0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163096    0.009571    0.099092    0.151842    0.304559
         0.339874    0.381626    0.407854


 k=(    0.000000   -0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168318    0.020508    0.085752    0.172720    0.308432
         0.359666    0.377538    0.416946


 k=(   -0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162875    0.008379    0.100134    0.151661    0.305940
         0.339617    0.380580    0.408913


 k=(   -0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147124   -0.011326    0.102044    0.128258    0.265620
         0.359573    0.398734    0.417603


 k=(   -0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122445   -0.031656    0.074832    0.108409    0.286660
         0.351268    0.389671    0.484812


 k=(   -0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.093151   -0.055462    0.059530    0.085497    0.344610
         0.353928    0.375026    0.436425


 k=(    0.444444    0.666667    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.096615   -0.050307    0.061324    0.081786    0.347245
         0.349107    0.373877    0.439890


 k=(    0.333333    0.666667    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.111003   -0.043223    0.060638    0.110286    0.295923
         0.373970    0.425178    0.448588


 k=(   -0.222222    0.333333   -0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124092   -0.042565    0.081789    0.132688    0.269671
         0.390341    0.403805    0.431503


 k=(    0.111111   -0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134096   -0.035913    0.092091    0.138144    0.308086
         0.326456    0.403414    0.446730


 k=(    0.000000   -0.333333    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138217   -0.023189    0.069994    0.153165    0.290051
         0.381402    0.387016    0.466879


 k=(   -0.111111   -0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134398   -0.018644    0.062630    0.132613    0.320691
         0.351619    0.383719    0.457000


 k=(   -0.222222   -0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122166   -0.032230    0.074085    0.109618    0.286422
         0.351296    0.390893    0.483560


 k=(   -0.333333   -0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103190   -0.051145    0.063630    0.115932    0.248598
         0.340467    0.473305    0.474329


 k=(   -0.444444   -0.333333    0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.087419   -0.062590    0.060015    0.094615    0.279535
         0.341077    0.448522    0.458583


 k=(    0.444444    0.555556    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125620   -0.022709    0.068680    0.108387    0.287291
         0.350084    0.386988    0.477856


 k=(    0.333333    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136947   -0.010966    0.062870    0.126303    0.314061
         0.354132    0.384188    0.458110


 k=(    0.222222    0.555556    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139908   -0.019434    0.073813    0.146161    0.283477
         0.387349    0.391636    0.465166


 k=(    0.111111    0.555556    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134852   -0.034167    0.092737    0.135861    0.312800
         0.322186    0.404465    0.440684


 k=(    0.000000    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.123574   -0.042555    0.075107    0.138980    0.276311
         0.386926    0.395738    0.429469


 k=(    0.111111    0.444444   -0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108673   -0.046350    0.054975    0.117219    0.302238
         0.370166    0.425578    0.444578


 k=(    0.222222    0.444444   -0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.092245   -0.056730    0.059156    0.086266    0.344654
         0.354550    0.375235    0.435431


 k=(    0.333333    0.444444   -0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.087520   -0.062451    0.059967    0.094615    0.279545
         0.341111    0.447988    0.458976


 k=(    0.555556    0.555556    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107273   -0.043338    0.059306    0.116251    0.248979
         0.340439    0.465700    0.471688


 k=(    0.444444    0.444444    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133965   -0.013123    0.091689    0.112436    0.242313
         0.282553    0.478357    0.479609


 k=(    0.333333    0.444444    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153962    0.013578    0.095020    0.117984    0.273928
         0.310355    0.401439    0.466415


 k=(    0.222222    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163954    0.013318    0.101748    0.144422    0.309846
         0.333669    0.379817    0.409434


 k=(    0.111111    0.444444    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163557   -0.006657    0.128474    0.163340    0.291734
         0.336920    0.349308    0.472868


 k=(    0.000000    0.444444    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153234   -0.024248    0.131539    0.154969    0.287247
         0.333237    0.353593    0.450161


 k=(   -0.111111    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134345   -0.034885    0.088553    0.141139    0.309753
         0.328291    0.399158    0.441074


 k=(   -0.222222    0.444444    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109393   -0.045285    0.055939    0.115931    0.299234
         0.373711    0.426716    0.444049


 k=(    0.666667    0.444444    0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.085013   -0.065335    0.058133    0.096859    0.281647
         0.339114    0.447590    0.458852


 k=(    0.555556    0.444444    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105867   -0.045473    0.085103    0.091185    0.267915
         0.278179    0.465172    0.535563


 k=(    0.444444    0.333333    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154184    0.014826    0.094831    0.116855    0.274321
         0.310367    0.400079    0.466706


 k=(    0.333333    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177438    0.050846    0.119082    0.132673    0.260201
         0.323817    0.404234    0.414963


 k=(    0.222222    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190538    0.069949    0.120442    0.160627    0.293815
         0.343155    0.366183    0.388869


 k=(    0.111111    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192524    0.056710    0.136148    0.179342    0.303750
         0.338630    0.342817    0.425291


 k=(    0.000000    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183308    0.033764    0.146475    0.158205    0.291892
         0.336170    0.363793    0.398014


 k=(   -0.111111    0.333333    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163526    0.012147    0.096724    0.151477    0.307621
         0.340978    0.378533    0.401415


 k=(   -0.222222    0.333333    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135475   -0.015393    0.062341    0.130388    0.317514
         0.352834    0.384151    0.457789


 k=(   -0.333333    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110837   -0.042924    0.057547    0.112981    0.299870
         0.367882    0.425661    0.447995


 k=(    0.555556    0.333333    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.124654   -0.025680    0.071768    0.106996    0.289837
         0.348725    0.384478    0.483080


 k=(    0.444444    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164341    0.015434    0.100861    0.143312    0.309843
         0.332722    0.380353    0.408036


 k=(    0.333333    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190659    0.071675    0.120171    0.158780    0.294301
         0.342570    0.365583    0.389200


 k=(    0.222222    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207456    0.109357    0.162558    0.164315    0.285927
         0.334092    0.356952    0.384361


 k=(    0.111111    0.222222    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213097    0.123805    0.156560    0.193645    0.312082
         0.318933    0.321866    0.398999


 k=(    0.000000    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207222    0.103162    0.163583    0.170046    0.287202
         0.335035    0.357772    0.384134


 k=(   -0.111111    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190184    0.065645    0.120279    0.166231    0.292308
         0.343714    0.369132    0.388843


 k=(   -0.222222    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163645    0.012108    0.099590    0.148670    0.304609
         0.336847    0.382892    0.409575


 k=(   -0.333333    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135279   -0.033279    0.093603    0.134790    0.308053
         0.323020    0.405954    0.447794


 k=(    0.555556    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135840   -0.031964    0.094408    0.132726    0.312952
         0.318483    0.406823    0.442854


 k=(    0.444444    0.111111    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.164094   -0.004657    0.128358    0.161826    0.290866
         0.335935    0.349020    0.473621


 k=(    0.333333    0.111111    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192717    0.058621    0.135848    0.177478    0.302885
         0.339512    0.341355    0.425857


 k=(    0.222222    0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213150    0.125776    0.156343    0.191246    0.312132
         0.320051    0.320758    0.398808


 k=(    0.111111    0.111111    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222684    0.162995    0.191033    0.196225    0.293749
         0.311783    0.315371    0.365316


 k=(    0.000000    0.111111    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220647    0.163577    0.176760    0.187264    0.283109
         0.331963    0.335725    0.356946


 k=(   -0.111111    0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207153    0.101568    0.159982    0.176470    0.285395
         0.330992    0.362783    0.386983


 k=(   -0.222222    0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183293    0.033439    0.148897    0.157035    0.288995
         0.328882    0.371070    0.405582


 k=(   -0.333333    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153673   -0.023237    0.140149    0.145904    0.283969
         0.326670    0.361998    0.457095


 k=(    0.555556    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140535   -0.042905    0.130209    0.150430    0.283956
         0.328006    0.353076    0.504343


 k=(    0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153920   -0.022244    0.131002    0.154287    0.286263
         0.331695    0.353685    0.451364


 k=(    0.333333    0.000000    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183537    0.035341    0.145586    0.157767    0.290886
         0.335100    0.363611    0.399129


 k=(    0.222222    0.000000    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207280    0.104601    0.162303    0.169819    0.286859
         0.334656    0.357645    0.384141


 k=(    0.111111    0.000000    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220645    0.162490    0.178784    0.186434    0.283068
         0.332584    0.334987    0.356888


 k=(    0.000000    0.000000    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222551    0.152073    0.194847    0.205397    0.299403
         0.308613    0.314664    0.362755


 k=(   -0.111111    0.000000    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212880    0.117065    0.156860    0.202951    0.309997
         0.317426    0.325257    0.399502


 k=(   -0.222222    0.000000    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192301    0.055435    0.131287    0.188138    0.303767
         0.329555    0.347910    0.427258


 k=(   -0.333333    0.000000    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163563   -0.006151    0.121909    0.171490    0.292382
         0.335051    0.345054    0.474844


 k=(   -0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140252   -0.043219    0.122420    0.159331    0.286068
         0.331801    0.344748    0.503679


 k=(    0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135163   -0.032796    0.087321    0.141263    0.308397
         0.328378    0.397786    0.442426


 k=(    0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163726    0.013296    0.095722    0.151699    0.306274
         0.341231    0.379626    0.400137


 k=(    0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190179    0.065519    0.120389    0.166310    0.292347
         0.343768    0.368943    0.388644


 k=(    0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207089    0.099978    0.161276    0.176985    0.285788
         0.331220    0.362818    0.386721


 k=(    0.000000   -0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212824    0.115324    0.157466    0.204799    0.310055
         0.316443    0.326205    0.399525


 k=(   -0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207027    0.098482    0.162649    0.177279    0.286204
         0.331526    0.362826    0.386491


 k=(   -0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190052    0.063844    0.121006    0.167761    0.292036
         0.343910    0.369781    0.388486


 k=(   -0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163539    0.012325    0.095851    0.152730    0.305216
         0.342108    0.380197    0.400434


 k=(   -0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135010   -0.033171    0.087299    0.141636    0.307707
         0.329002    0.397654    0.443481


 k=(   -0.444444    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110216   -0.043593    0.055035    0.115994    0.299269
         0.372170    0.428160    0.444184


 k=(   -0.333333    0.222222   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135455   -0.015480    0.062405    0.130419    0.317380
         0.353226    0.383847    0.457520


 k=(   -0.222222    0.222222   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163424    0.010862    0.100688    0.148522    0.305908
         0.336649    0.381800    0.410628


 k=(   -0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183054    0.031810    0.149800    0.157595    0.290040
         0.329433    0.371613    0.404440


 k=(    0.000000    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192102    0.053495    0.132021    0.189594    0.304755
         0.329219    0.348818    0.426846


 k=(    0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189928    0.062332    0.121440    0.169203    0.291702
         0.343860    0.370838    0.388566


 k=(    0.222222    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176604    0.042167    0.129303    0.132093    0.259076
         0.321956    0.408196    0.422721


 k=(   -0.333333   -0.222222    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153076    0.008973    0.095233    0.122648    0.272423
         0.310229    0.406675    0.466093


 k=(   -0.444444   -0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123287   -0.028681    0.068471    0.112872    0.288353
         0.348807    0.390904    0.477040


 k=(    0.555556    0.333333   -0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.084880   -0.065505    0.058179    0.096862    0.281635
         0.339082    0.448096    0.458487


 k=(   -0.333333    0.333333   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109963   -0.044749    0.058555    0.112935    0.299741
         0.369494    0.424132    0.448279


 k=(   -0.222222    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134431   -0.035423    0.094931    0.134665    0.309496
         0.322790    0.407252    0.446450


 k=(   -0.111111    0.333333   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152967   -0.025275    0.139960    0.147397    0.284959
         0.327547    0.362488    0.455915


 k=(    0.000000    0.333333   -0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163015   -0.008179    0.122420    0.172588    0.293285
         0.336249    0.345126    0.474881


 k=(    0.111111    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163145    0.010234    0.096918    0.153579    0.305477
         0.342680    0.379673    0.402086


 k=(    0.222222    0.333333   -0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152850    0.007837    0.095495    0.123567    0.272081
         0.310209    0.407944    0.466201


 k=(    0.333333    0.333333   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132475   -0.018217    0.096542    0.112137    0.241322
         0.282290    0.481735    0.486956


 k=(    0.444444    0.333333   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103905   -0.048994    0.084494    0.093828    0.266424
         0.279049    0.470734    0.536280


 k=(    0.444444    0.555556    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105474   -0.046202    0.085104    0.091618    0.267608
         0.278353    0.466346    0.535785


 k=(    0.333333    0.555556    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123954   -0.027655    0.072988    0.107177    0.289630
         0.348997    0.385295    0.484149


 k=(    0.222222    0.555556    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134868   -0.034429    0.095587    0.133070    0.313379
         0.319206    0.408009    0.442586


 k=(    0.111111    0.555556    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139371   -0.045422    0.130208    0.151791    0.284868
         0.328972    0.353441    0.505317


 k=(    0.000000    0.444444   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139082   -0.045742    0.122862    0.160194    0.286992
         0.333682    0.344232    0.504561


 k=(    0.111111    0.444444   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134026   -0.035639    0.088490    0.141900    0.308331
         0.329566    0.398835    0.443287


 k=(    0.222222    0.444444   -0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122575   -0.030590    0.069571    0.113063    0.288208
         0.349088    0.391632    0.478199


 k=(    0.333333    0.444444   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103504   -0.049690    0.084495    0.094206    0.266139
         0.279235    0.471804    0.536222


 k=(    0.444444    0.444444   -0.111111):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.082576   -0.073238    0.084195    0.105421    0.236023
         0.268058    0.540735    0.551822


 k=(    0.444444    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.108811   -0.046953    0.104085    0.106164    0.228714
         0.243582    0.544760    0.544922


 k=(    0.333333    0.444444    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132949   -0.016432    0.092452    0.114499    0.243349
         0.280855    0.478920    0.485051


 k=(    0.222222    0.444444    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147834   -0.008180    0.096196    0.131337    0.267955
         0.358389    0.396533    0.413803


 k=(    0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153118   -0.024695    0.134005    0.152936    0.286286
         0.330061    0.358104    0.452365


 k=(    0.000000    0.444444    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.149636   -0.040270    0.158548    0.169602    0.261337
         0.324298    0.337392    0.491002


 k=(   -0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139196   -0.045612    0.125175    0.157520    0.286062
         0.330571    0.349194    0.504764


 k=(    0.222222    0.555556    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.123754   -0.042612    0.077516    0.136862    0.273348
         0.388057    0.399761    0.429887


 k=(    0.333333    0.555556    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103731   -0.049622    0.060126    0.118356    0.250897
         0.338497    0.468006    0.474283


 k=(    0.555556    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.079707   -0.076170    0.082127    0.107524    0.238142
         0.266012    0.539618    0.551498


 k=(    0.444444    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133251   -0.015394    0.091473    0.114557    0.243553
         0.280892    0.477959    0.483860


 k=(    0.333333    0.333333    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159763    0.022047    0.117957    0.120293    0.233696
         0.280191    0.469387    0.469711


 k=(    0.222222    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176884    0.045093    0.122741    0.135240    0.260543
         0.321852    0.405856    0.420129


 k=(    0.111111    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183200    0.032890    0.148150    0.157764    0.291171
         0.332786    0.367583    0.400499


 k=(    0.000000    0.333333    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178493    0.010371    0.165020    0.176111    0.268754
         0.329258    0.341963    0.491053


 k=(   -0.111111    0.333333    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163238   -0.007526    0.124298    0.169448    0.292537
         0.336007    0.347386    0.472820


 k=(   -0.222222    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138909   -0.021608    0.071192    0.150741    0.287038
         0.383657    0.389294    0.465444


 k=(   -0.333333    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.110247   -0.042467    0.046972    0.131317    0.265263
         0.417050    0.440397    0.461407


 k=(    0.555556    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104602   -0.047998    0.059255    0.118421    0.250973
         0.338477    0.466573    0.473703


 k=(    0.444444    0.222222    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148365   -0.005998    0.094201    0.131532    0.268073
         0.358455    0.395997    0.411946


 k=(    0.333333    0.222222    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177052    0.046863    0.120729    0.135302    0.260759
         0.322201    0.405009    0.418650


 k=(    0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197514    0.093823    0.144641    0.147719    0.254482
         0.336022    0.397380    0.397607


 k=(    0.111111    0.222222    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207166    0.101583    0.163557    0.172294    0.286732
         0.333155    0.359928    0.385068


 k=(    0.000000    0.222222    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205377    0.079451    0.177335    0.188797    0.282515
         0.326951    0.337397    0.435840


 k=(   -0.111111    0.222222    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192275    0.054911    0.133023    0.186056    0.304041
         0.332471    0.347134    0.425966


 k=(   -0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168886    0.023848    0.085018    0.169954    0.305409
         0.362896    0.375768    0.418153


 k=(   -0.333333    0.222222    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139324   -0.020177    0.070088    0.150920    0.287076
         0.382231    0.388168    0.466730


 k=(    0.555556    0.222222    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124846   -0.040113    0.075910    0.137088    0.273441
         0.386684    0.397892    0.430942


 k=(    0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153865   -0.022466    0.132202    0.153303    0.285776
         0.330090    0.355980    0.452443


 k=(    0.333333    0.111111    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183484    0.034898    0.146449    0.157521    0.290522
         0.333384    0.365559    0.400359


 k=(    0.222222    0.111111    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207252    0.103778    0.162515    0.170733    0.286627
         0.333671    0.358784    0.384644


 k=(    0.111111    0.111111    0.000000):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220645    0.161928    0.180116    0.185729    0.283043
         0.333357    0.334143    0.356853


 k=(    0.000000    0.111111    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222578    0.154112    0.192584    0.205309    0.297998
         0.308243    0.316002    0.363265


 k=(   -0.111111    0.111111    0.000000):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212935    0.118959    0.156049    0.201202    0.309630
         0.318889    0.324116    0.399460


 k=(   -0.222222    0.111111    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192387    0.056162    0.131758    0.186388    0.303394
         0.331112    0.347160    0.426794


 k=(   -0.333333    0.111111    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163673   -0.005822    0.122831    0.169937    0.291997
         0.334878    0.346244    0.473820


 k=(   -0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140307   -0.043155    0.123553    0.158017    0.285594
         0.330264    0.347224    0.503743


 k=(   -0.444444    0.000000    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.150595   -0.037986    0.157588    0.169434    0.260580
         0.323069    0.336767    0.490123


 k=(   -0.333333    0.000000    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178866    0.012149    0.163959    0.175861    0.267930
         0.328054    0.341367    0.491123


 k=(   -0.222222    0.000000    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205502    0.081188    0.176028    0.188365    0.281541
         0.326170    0.337250    0.436589


 k=(   -0.111111    0.000000    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222604    0.156268    0.190780    0.204597    0.296719
         0.308458    0.316681    0.363764


 k=(    0.000000    0.000000    0.000000):       259 3-d basis functions
 the   8 eigenvalues are:
        -0.228429    0.198311    0.203902    0.215994    0.293994
         0.300756    0.304268    0.321011


 fermi energy and band-weighting factors:

FERMIE:
          first approx. to ef    (T=0)  :  0.215994 htr   (energy of the highest occ. eigenvalue)
          number of occ. states  (T=0)  :      1460
          first approx. to seigv (T=0)  :  0.176445 htr
          sum of weights of occ. states :  4.000000
          sum of semicore eigenvalues   :  0.000000 htr
          sum of semicore charge        :  0.000000 e



FERHIS:  Fermi-Energy by histogram:

          bandgap                     :   0.012007 htr
          charge neutrality (T=0)     :   0.000000    (zero if the highest occ. eigenvalue is "entirely" occupied)

     EF_NEWTON:  Adjust Fermi-Energy by Newton-Method.

               Number of iterations needed  :   4
               The error in the weight is   :  0.81920E-14
               The error in ef is           : -0.58844E-12 htr


     -->  new fermi energy            :   0.221269 htr
          valence charge              :   8.000000 e 
          actual charge blw ef-8kt    :   7.997257 e 
          actual charge blw ef+8kt    :   8.000000 e 
          number of occ. states       :      1463
          sum of the valence weights  :   4.000000
          entropy         :   0.000200 *kb htr/K =   0.00000 htr/K

          sum of val. single particle energies:         0.1764453993 htr



          valence density: spin= 1

     l-like charge
     atom     s        p        d        f        total
 --> 1    0.89050  1.17094  0.08212  0.00603    2.15119
 --> 2    0.89050  1.17094  0.08212  0.00603    2.15119
 Energy Parameters for spin:           1
 Max. mismatch of energy parameters:    0.000000

     energy parameters for window 1
     atom     s        p        d        f
 -->  1   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0
 -->  2   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0

          total charge for spin  1=    8.000000
          interst. charge =       3.697627
          mt charge=              2.151186    2.151186

          total charge  =    8.000000


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.2037        2.
               2.   0.   0.5   -4.7107        2.
               2.   1.   0.5   -3.1110        2.
               2.   1.   1.5   -3.0872        4.
          atom type  1  (spin 1) 
          kinetic energy=  0.285372365802E+03     sum of the eigenvalues= -0.158399797413E+03
          0.00178912  electrons lost from core.


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.2037        2.
               2.   0.   0.5   -4.7107        2.
               2.   1.   0.5   -3.1110        2.
               2.   1.   1.5   -3.0872        4.
          atom type  2  (spin 1) 
          kinetic energy=  0.285372365797E+03     sum of the eigenvalues= -0.158399797447E+03
          0.00178912  electrons lost from core.

          alpha=   1.39394     acoff=   0.09674

          alpha=   1.39394     acoff=   0.09674

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149448   12.149448

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149448   12.149448

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*



     t o t a l  e n e r g y

          sum of eigenvalues =              -316.6231494602

          density-coulomb potential int     -844.4026146015

          density-effective potential i     -898.3127881299

          charge density-ex.-corr.energ      -41.7445136484
 
 FORCES: EQUATION A3 FOR ATOM TYPE   1
 FX_A3= -0.013531  0.000000 FY_A3= -0.008921  0.000000 FZ_A3= -0.004206  0.000000
 FORCES: EQUATION A3 FOR ATOM TYPE   2
 FX_A3=  0.013531  0.000000 FY_A3=  0.008921  0.000000 FZ_A3=  0.004206  0.000000

          el.-nucl. inter. diff. m.t.        342.2718643937

          Madelung term for atom type:        -6.6358166414

          el.-nucl. inter. diff. m.t.        342.2718643612

          Madelung term for atom type:        -6.6358166566


 ----> total energy=                        -580.0715443322 htr

 ***** TOTAL FORCES ON ATOMS ***** 

 TOTAL FORCE FOR ATOM TYPE=  1  X=  1.292   Y=  1.292   Z=  1.292
                       FX_TOT=-0.013531 FY_TOT=-0.008921 FZ_TOT=-0.004206
 TOTAL FORCE FOR ATOM TYPE=  2  X= -1.369   Y= -1.344   Z= -1.318
                       FX_TOT= 0.013531 FY_TOT= 0.008921 FZ_TOT= 0.004206
eps_force= 0.00001max= 0.00000


 ---->(tkb*entropy) TS=                        0.0000001998 htr


 ----> free energy=                         -580.0715445320 htr


      extrapolation for T->0
 ----> total electron energy=               -580.0715444321 htr
 wrtdop title:alpha Si                                                                ordered*
 wrtdop title:alpha Si                                                                ordered*
     <vi|w|Fm> for it 2       0.000503
     <vi|w|Fm> for it 3      -0.001713
     <vi|w|Fm> for it 4      -0.000020
     <vi|w|Fm> for it 5      -0.003829
     <vi|w|Fm> for it 6       0.004808
     <vi|w|Fm> for it 7      -0.002660
     <vi|w|Fm> for it 8       0.044958
     <vi|w|Fm> for it 9      -0.030457
     <vi|w|Fm> for it10       0.798674
     <vi|w|Fm> for it11      14.641392

----> distance of charge densities for spin  1        it= 12:   0.000025 me/bohr**3

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149448   12.149447

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149448   12.149447

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*

     ******* it= 12  is completed********



             it=       13

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149448   12.149447

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149448   12.149447

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*


          p o t e n t i a l   g e n e r a t o r


          multipole moments for atom type=    1

  l   m                   original                      plane wave
  0   0          -0.52203E+00    0.00000E+00         0.77848E+00   -0.19892E-14
  1   0           0.16734E-02    0.00000E+00         0.14127E-02   -0.97043E-15
  1   1          -0.49363E-02    0.31538E-02        -0.40563E-02    0.25988E-02
  1  -1           0.49363E-02    0.31538E-02         0.40563E-02    0.25988E-02
  1   1          -0.49363E-02    0.31538E-02        -0.40563E-02    0.25988E-02
  1  -1           0.49363E-02    0.31538E-02         0.40563E-02    0.25988E-02
  2   0           0.52203E-03    0.00000E+00         0.49875E-03    0.21842E-16
  2   1           0.12346E-01   -0.18690E-01         0.11743E-01   -0.17751E-01
  2  -1          -0.12346E-01   -0.18690E-01        -0.11743E-01   -0.17751E-01
  2   2          -0.29032E-03    0.58685E-02        -0.27746E-03    0.56344E-02
  2  -2          -0.29032E-03   -0.58685E-02        -0.27746E-03   -0.56344E-02
  2   1           0.12346E-01   -0.18690E-01         0.11743E-01   -0.17751E-01
  2  -1          -0.12346E-01   -0.18690E-01        -0.11743E-01   -0.17751E-01
  2   2          -0.29032E-03    0.58685E-02        -0.27746E-03    0.56344E-02
  2  -2          -0.29032E-03   -0.58685E-02        -0.27746E-03   -0.56344E-02
  3   0          -0.84953E-02    0.00000E+00        -0.82483E-02   -0.11904E-14
  3   1          -0.10736E-01    0.72030E-02        -0.10356E-01    0.69547E-02
  3  -1           0.10736E-01    0.72030E-02         0.10356E-01    0.69547E-02
  3   2          -0.55444E-05    0.46967E+00        -0.47340E-05    0.46256E+00
  3  -2          -0.55444E-05   -0.46967E+00        -0.47340E-05   -0.46256E+00
  3   3           0.13842E-01    0.92682E-02         0.13355E-01    0.89520E-02
  3  -3          -0.13842E-01    0.92682E-02        -0.13355E-01    0.89520E-02
  3   1          -0.10736E-01    0.72030E-02        -0.10356E-01    0.69547E-02
  3  -1           0.10736E-01    0.72030E-02         0.10356E-01    0.69547E-02
  3   2          -0.55444E-05    0.46967E+00        -0.47340E-05    0.46256E+00
  3  -2          -0.55444E-05   -0.46967E+00        -0.47340E-05   -0.46256E+00
  3   3           0.13842E-01    0.92682E-02         0.13355E-01    0.89520E-02
  3  -3          -0.13842E-01    0.92682E-02        -0.13355E-01    0.89520E-02
  4   0          -0.27309E+00    0.00000E+00        -0.26912E+00    0.11685E-14
  4   1           0.34670E-03   -0.37978E-03         0.41295E-03   -0.48739E-03
  4  -1          -0.34670E-03   -0.37978E-03        -0.41295E-03   -0.48739E-03
  4   2          -0.31491E-03   -0.10924E-02        -0.30581E-03   -0.11522E-02
  4  -2          -0.31491E-03    0.10924E-02        -0.30581E-03    0.11522E-02
  4   3           0.83822E-03    0.95989E-03         0.10181E-02    0.12472E-02
  4  -3          -0.83822E-03    0.95989E-03        -0.10181E-02    0.12472E-02
  4   4          -0.16268E+00   -0.84935E-05        -0.16032E+00   -0.79850E-05
  4  -4          -0.16268E+00    0.84935E-05        -0.16032E+00    0.79850E-05
  4   1           0.34670E-03   -0.37978E-03         0.41295E-03   -0.48739E-03
  4  -1          -0.34670E-03   -0.37978E-03        -0.41295E-03   -0.48739E-03
  4   2          -0.31491E-03   -0.10924E-02        -0.30581E-03   -0.11522E-02
  4  -2          -0.31491E-03    0.10924E-02        -0.30581E-03    0.11522E-02
  4   3           0.83822E-03    0.95989E-03         0.10181E-02    0.12472E-02
  4  -3          -0.83822E-03    0.95989E-03        -0.10181E-02    0.12472E-02
  4   4          -0.16268E+00   -0.84935E-05        -0.16032E+00   -0.79850E-05
  4  -4          -0.16268E+00    0.84935E-05        -0.16032E+00    0.79850E-05
  5   0           0.53228E-02    0.00000E+00         0.52640E-02   -0.76434E-15
  5   1           0.43744E-02   -0.27155E-02         0.42149E-02   -0.26122E-02
  5  -1          -0.43744E-02   -0.27155E-02        -0.42149E-02   -0.26122E-02
  5   2           0.77404E-05    0.61510E-03         0.76072E-05    0.60126E-03
  5  -2           0.77404E-05   -0.61510E-03         0.76072E-05   -0.60126E-03
  5   3           0.17820E-01    0.11793E-01         0.17488E-01    0.11572E-01
  5  -3          -0.17820E-01    0.11793E-01        -0.17488E-01    0.11572E-01
  5   4          -0.46735E-02   -0.48302E-03        -0.45591E-02   -0.47202E-03
  5  -4          -0.46735E-02    0.48302E-03        -0.45591E-02    0.47202E-03
  5   5          -0.37256E-02    0.26169E-02        -0.37317E-02    0.26183E-02
  5  -5           0.37256E-02    0.26169E-02         0.37317E-02    0.26183E-02
  5   1           0.43744E-02   -0.27155E-02         0.42149E-02   -0.26122E-02
  5  -1          -0.43744E-02   -0.27155E-02        -0.42149E-02   -0.26122E-02
  5   2           0.77404E-05    0.61510E-03         0.76072E-05    0.60126E-03
  5  -2           0.77404E-05   -0.61510E-03         0.76072E-05   -0.60126E-03
  5   3           0.17820E-01    0.11793E-01         0.17488E-01    0.11572E-01
  5  -3          -0.17820E-01    0.11793E-01        -0.17488E-01    0.11572E-01
  5   4          -0.46735E-02   -0.48302E-03        -0.45591E-02   -0.47202E-03
  5  -4          -0.46735E-02    0.48302E-03        -0.45591E-02    0.47202E-03
  5   5          -0.37256E-02    0.26169E-02        -0.37317E-02    0.26183E-02
  5  -5           0.37256E-02    0.26169E-02         0.37317E-02    0.26183E-02
  6   0           0.10281E+00    0.00000E+00         0.10175E+00    0.12279E-14
  6   1          -0.64039E-02    0.97175E-02        -0.63488E-02    0.96355E-02
  6  -1           0.64039E-02    0.97175E-02         0.63488E-02    0.96355E-02
  6   2           0.11842E-03   -0.60791E-02         0.11734E-03   -0.60171E-02
  6  -2           0.11842E-03    0.60791E-02         0.11734E-03    0.60171E-02
  6   3          -0.42897E-02   -0.62277E-02        -0.42488E-02   -0.61690E-02
  6  -3           0.42897E-02   -0.62277E-02         0.42488E-02   -0.61690E-02
  6   4          -0.19311E+00   -0.54792E-05        -0.19113E+00   -0.55819E-05
  6  -4          -0.19311E+00    0.54792E-05        -0.19113E+00    0.55819E-05
  6   5          -0.97093E-02    0.14433E-01        -0.96202E-02    0.14304E-01
  6  -5           0.97093E-02    0.14433E-01         0.96202E-02    0.14304E-01
  6   6           0.17606E-03   -0.20776E-02         0.17447E-03   -0.20575E-02
  6  -6           0.17606E-03    0.20776E-02         0.17447E-03    0.20575E-02
  6   1          -0.64039E-02    0.97175E-02        -0.63488E-02    0.96355E-02
  6  -1           0.64039E-02    0.97175E-02         0.63488E-02    0.96355E-02
  6   2           0.11842E-03   -0.60791E-02         0.11734E-03   -0.60171E-02
  6  -2           0.11842E-03    0.60791E-02         0.11734E-03    0.60171E-02
  6   3          -0.42897E-02   -0.62277E-02        -0.42488E-02   -0.61690E-02
  6  -3           0.42897E-02   -0.62277E-02         0.42488E-02   -0.61690E-02
  6   4          -0.19311E+00   -0.54792E-05        -0.19113E+00   -0.55819E-05
  6  -4          -0.19311E+00    0.54792E-05        -0.19113E+00    0.55819E-05
  6   5          -0.97093E-02    0.14433E-01        -0.96202E-02    0.14304E-01
  6  -5           0.97093E-02    0.14433E-01         0.96202E-02    0.14304E-01
  6   6           0.17606E-03   -0.20776E-02         0.17447E-03   -0.20575E-02
  6  -6           0.17606E-03    0.20776E-02         0.17447E-03    0.20575E-02
  7   0           0.24636E-02    0.00000E+00         0.24471E-02    0.47800E-14
  7   1           0.51584E-02   -0.35463E-02         0.51444E-02   -0.35370E-02
  7  -1          -0.51584E-02   -0.35463E-02        -0.51444E-02   -0.35370E-02
  7   2           0.24198E-05   -0.12873E+00         0.24105E-05   -0.12878E+00
  7  -2           0.24198E-05    0.12873E+00         0.24105E-05    0.12878E+00
  7   3          -0.12548E-02   -0.85873E-03        -0.12390E-02   -0.84835E-03
  7  -3           0.12548E-02   -0.85873E-03         0.12390E-02   -0.84835E-03
  7   4           0.24426E-02   -0.36118E-03         0.24431E-02   -0.36207E-03
  7  -4           0.24426E-02    0.36118E-03         0.24431E-02    0.36207E-03
  7   5          -0.27215E-02    0.18617E-02        -0.27404E-02    0.18744E-02
  7  -5           0.27215E-02    0.18617E-02         0.27404E-02    0.18744E-02
  7   6           0.43108E-05   -0.11780E+00         0.42436E-05   -0.11784E+00
  7  -6           0.43108E-05    0.11780E+00         0.42436E-05    0.11784E+00
  7   7          -0.47002E-02   -0.32247E-02        -0.46773E-02   -0.32095E-02
  7  -7           0.47002E-02   -0.32247E-02         0.46773E-02   -0.32095E-02
  7   1           0.51584E-02   -0.35463E-02         0.51444E-02   -0.35370E-02
  7  -1          -0.51584E-02   -0.35463E-02        -0.51444E-02   -0.35370E-02
  7   2           0.24198E-05   -0.12873E+00         0.24105E-05   -0.12878E+00
  7  -2           0.24198E-05    0.12873E+00         0.24105E-05    0.12878E+00
  7   3          -0.12548E-02   -0.85873E-03        -0.12390E-02   -0.84835E-03
  7  -3           0.12548E-02   -0.85873E-03         0.12390E-02   -0.84835E-03
  7   4           0.24426E-02   -0.36118E-03         0.24431E-02   -0.36207E-03
  7  -4           0.24426E-02    0.36118E-03         0.24431E-02    0.36207E-03
  7   5          -0.27215E-02    0.18617E-02        -0.27404E-02    0.18744E-02
  7  -5           0.27215E-02    0.18617E-02         0.27404E-02    0.18744E-02
  7   6           0.43108E-05   -0.11780E+00         0.42436E-05   -0.11784E+00
  7  -6           0.43108E-05    0.11780E+00         0.42436E-05    0.11784E+00
  7   7          -0.47002E-02   -0.32247E-02        -0.46773E-02   -0.32095E-02
  7  -7           0.47002E-02   -0.32247E-02         0.46773E-02   -0.32095E-02
  8   0           0.52642E-01    0.00000E+00         0.56887E-01   -0.10971E-14
  8   1           0.59093E-03   -0.93583E-03         0.52886E-03   -0.83506E-03
  8  -1          -0.59093E-03   -0.93583E-03        -0.52886E-03   -0.83506E-03
  8   2           0.10441E-03    0.31323E-02         0.11464E-03    0.34713E-02
  8  -2           0.10441E-03   -0.31323E-02         0.11464E-03   -0.34713E-02
  8   3          -0.88121E-03   -0.12354E-02        -0.11223E-02   -0.16026E-02
  8  -3           0.88121E-03   -0.12354E-02         0.11223E-02   -0.16026E-02
  8   4           0.19352E-01    0.86412E-05         0.20944E-01    0.86870E-05
  8  -4           0.19352E-01   -0.86412E-05         0.20944E-01   -0.86870E-05
  8   5          -0.56801E-02    0.85186E-02        -0.61404E-02    0.92034E-02
  8  -5           0.56801E-02    0.85186E-02         0.61404E-02    0.92034E-02
  8   6           0.32656E-03   -0.14342E-02         0.33088E-03   -0.14899E-02
  8  -6           0.32656E-03    0.14342E-02         0.33088E-03    0.14899E-02
  8   7          -0.33965E-02   -0.50344E-02        -0.38739E-02   -0.57563E-02
  8  -7           0.33965E-02   -0.50344E-02         0.38739E-02   -0.57563E-02
  8   8           0.29792E-01   -0.13932E-05         0.32206E-01   -0.21262E-05
  8  -8           0.29792E-01    0.13932E-05         0.32206E-01    0.21262E-05
  8   1           0.59093E-03   -0.93583E-03         0.52886E-03   -0.83506E-03
  8  -1          -0.59093E-03   -0.93583E-03        -0.52886E-03   -0.83506E-03
  8   2           0.10441E-03    0.31323E-02         0.11464E-03    0.34713E-02
  8  -2           0.10441E-03   -0.31323E-02         0.11464E-03   -0.34713E-02
  8   3          -0.88121E-03   -0.12354E-02        -0.11223E-02   -0.16026E-02
  8  -3           0.88121E-03   -0.12354E-02         0.11223E-02   -0.16026E-02
  8   4           0.19352E-01    0.86412E-05         0.20944E-01    0.86870E-05
  8  -4           0.19352E-01   -0.86412E-05         0.20944E-01   -0.86870E-05
  8   5          -0.56801E-02    0.85186E-02        -0.61404E-02    0.92034E-02
  8  -5           0.56801E-02    0.85186E-02         0.61404E-02    0.92034E-02
  8   6           0.32656E-03   -0.14342E-02         0.33088E-03   -0.14899E-02
  8  -6           0.32656E-03    0.14342E-02         0.33088E-03    0.14899E-02
  8   7          -0.33965E-02   -0.50344E-02        -0.38739E-02   -0.57563E-02
  8  -7           0.33965E-02   -0.50344E-02         0.38739E-02   -0.57563E-02
  8   8           0.29792E-01   -0.13932E-05         0.32206E-01   -0.21262E-05
  8  -8           0.29792E-01    0.13932E-05         0.32206E-01    0.21262E-05

          multipole moments for atom type=    2

  l   m                   original                      plane wave
  0   0          -0.52203E+00    0.00000E+00         0.77848E+00   -0.87625E-15
  1   0          -0.16734E-02    0.00000E+00        -0.14127E-02    0.29075E-15
  1   1           0.49363E-02   -0.31538E-02         0.40563E-02   -0.25988E-02
  1  -1          -0.49363E-02   -0.31538E-02        -0.40563E-02   -0.25988E-02
  1   1           0.49363E-02   -0.31538E-02         0.40563E-02   -0.25988E-02
  1  -1          -0.49363E-02   -0.31538E-02        -0.40563E-02   -0.25988E-02
  2   0           0.52203E-03    0.00000E+00         0.49874E-03    0.21218E-16
  2   1           0.12346E-01   -0.18690E-01         0.11743E-01   -0.17751E-01
  2  -1          -0.12346E-01   -0.18690E-01        -0.11743E-01   -0.17751E-01
  2   2          -0.29035E-03    0.58685E-02        -0.27749E-03    0.56344E-02
  2  -2          -0.29035E-03   -0.58685E-02        -0.27749E-03   -0.56344E-02
  2   1           0.12346E-01   -0.18690E-01         0.11743E-01   -0.17751E-01
  2  -1          -0.12346E-01   -0.18690E-01        -0.11743E-01   -0.17751E-01
  2   2          -0.29035E-03    0.58685E-02        -0.27749E-03    0.56344E-02
  2  -2          -0.29035E-03   -0.58685E-02        -0.27749E-03   -0.56344E-02
  3   0           0.84952E-02    0.00000E+00         0.82483E-02   -0.36428E-15
  3   1           0.10736E-01   -0.72030E-02         0.10357E-01   -0.69547E-02
  3  -1          -0.10736E-01   -0.72030E-02        -0.10357E-01   -0.69547E-02
  3   2           0.55912E-05   -0.46967E+00         0.47831E-05   -0.46256E+00
  3  -2           0.55912E-05    0.46967E+00         0.47831E-05    0.46256E+00
  3   3          -0.13842E-01   -0.92682E-02        -0.13355E-01   -0.89520E-02
  3  -3           0.13842E-01   -0.92682E-02         0.13355E-01   -0.89520E-02
  3   1           0.10736E-01   -0.72030E-02         0.10357E-01   -0.69547E-02
  3  -1          -0.10736E-01   -0.72030E-02        -0.10357E-01   -0.69547E-02
  3   2           0.55912E-05   -0.46967E+00         0.47831E-05   -0.46256E+00
  3  -2           0.55912E-05    0.46967E+00         0.47831E-05    0.46256E+00
  3   3          -0.13842E-01   -0.92682E-02        -0.13355E-01   -0.89520E-02
  3  -3           0.13842E-01   -0.92682E-02         0.13355E-01   -0.89520E-02
  4   0          -0.27309E+00    0.00000E+00        -0.26912E+00    0.24476E-14
  4   1           0.34671E-03   -0.37970E-03         0.41296E-03   -0.48733E-03
  4  -1          -0.34671E-03   -0.37970E-03        -0.41296E-03   -0.48733E-03
  4   2          -0.31491E-03   -0.10925E-02        -0.30580E-03   -0.11522E-02
  4  -2          -0.31491E-03    0.10925E-02        -0.30580E-03    0.11522E-02
  4   3           0.83822E-03    0.96040E-03         0.10181E-02    0.12477E-02
  4  -3          -0.83822E-03    0.96040E-03        -0.10181E-02    0.12477E-02
  4   4          -0.16268E+00   -0.85624E-05        -0.16032E+00   -0.80561E-05
  4  -4          -0.16268E+00    0.85624E-05        -0.16032E+00    0.80561E-05
  4   1           0.34671E-03   -0.37970E-03         0.41296E-03   -0.48733E-03
  4  -1          -0.34671E-03   -0.37970E-03        -0.41296E-03   -0.48733E-03
  4   2          -0.31491E-03   -0.10925E-02        -0.30580E-03   -0.11522E-02
  4  -2          -0.31491E-03    0.10925E-02        -0.30580E-03    0.11522E-02
  4   3           0.83822E-03    0.96040E-03         0.10181E-02    0.12477E-02
  4  -3          -0.83822E-03    0.96040E-03        -0.10181E-02    0.12477E-02
  4   4          -0.16268E+00   -0.85624E-05        -0.16032E+00   -0.80561E-05
  4  -4          -0.16268E+00    0.85624E-05        -0.16032E+00    0.80561E-05
  5   0          -0.53229E-02    0.00000E+00        -0.52640E-02   -0.23599E-14
  5   1          -0.43744E-02    0.27155E-02        -0.42150E-02    0.26121E-02
  5  -1           0.43744E-02    0.27155E-02         0.42150E-02    0.26121E-02
  5   2          -0.77890E-05   -0.61502E-03        -0.76563E-05   -0.60117E-03
  5  -2          -0.77890E-05    0.61502E-03        -0.76563E-05    0.60117E-03
  5   3          -0.17820E-01   -0.11793E-01        -0.17488E-01   -0.11572E-01
  5  -3           0.17820E-01   -0.11793E-01         0.17488E-01   -0.11572E-01
  5   4           0.46737E-02    0.48354E-03         0.45594E-02    0.47257E-03
  5  -4           0.46737E-02   -0.48354E-03         0.45594E-02   -0.47257E-03
  5   5           0.37237E-02   -0.26169E-02         0.37297E-02   -0.26183E-02
  5  -5          -0.37237E-02   -0.26169E-02        -0.37297E-02   -0.26183E-02
  5   1          -0.43744E-02    0.27155E-02        -0.42150E-02    0.26121E-02
  5  -1           0.43744E-02    0.27155E-02         0.42150E-02    0.26121E-02
  5   2          -0.77890E-05   -0.61502E-03        -0.76563E-05   -0.60117E-03
  5  -2          -0.77890E-05    0.61502E-03        -0.76563E-05    0.60117E-03
  5   3          -0.17820E-01   -0.11793E-01        -0.17488E-01   -0.11572E-01
  5  -3           0.17820E-01   -0.11793E-01         0.17488E-01   -0.11572E-01
  5   4           0.46737E-02    0.48354E-03         0.45594E-02    0.47257E-03
  5  -4           0.46737E-02   -0.48354E-03         0.45594E-02   -0.47257E-03
  5   5           0.37237E-02   -0.26169E-02         0.37297E-02   -0.26183E-02
  5  -5          -0.37237E-02   -0.26169E-02        -0.37297E-02   -0.26183E-02
  6   0           0.10281E+00    0.00000E+00         0.10175E+00    0.23219E-14
  6   1          -0.64039E-02    0.97176E-02        -0.63488E-02    0.96356E-02
  6  -1           0.64039E-02    0.97176E-02         0.63488E-02    0.96356E-02
  6   2           0.11860E-03   -0.60791E-02         0.11752E-03   -0.60171E-02
  6  -2           0.11860E-03    0.60791E-02         0.11752E-03    0.60171E-02
  6   3          -0.42897E-02   -0.62284E-02        -0.42489E-02   -0.61697E-02
  6  -3           0.42897E-02   -0.62284E-02         0.42489E-02   -0.61697E-02
  6   4          -0.19311E+00   -0.55884E-05        -0.19113E+00   -0.56943E-05
  6  -4          -0.19311E+00    0.55884E-05        -0.19113E+00    0.56943E-05
  6   5          -0.97095E-02    0.14433E-01        -0.96204E-02    0.14304E-01
  6  -5           0.97095E-02    0.14433E-01         0.96204E-02    0.14304E-01
  6   6           0.17553E-03   -0.20772E-02         0.17391E-03   -0.20571E-02
  6  -6           0.17553E-03    0.20772E-02         0.17391E-03    0.20571E-02
  6   1          -0.64039E-02    0.97176E-02        -0.63488E-02    0.96356E-02
  6  -1           0.64039E-02    0.97176E-02         0.63488E-02    0.96356E-02
  6   2           0.11860E-03   -0.60791E-02         0.11752E-03   -0.60171E-02
  6  -2           0.11860E-03    0.60791E-02         0.11752E-03    0.60171E-02
  6   3          -0.42897E-02   -0.62284E-02        -0.42489E-02   -0.61697E-02
  6  -3           0.42897E-02   -0.62284E-02         0.42489E-02   -0.61697E-02
  6   4          -0.19311E+00   -0.55884E-05        -0.19113E+00   -0.56943E-05
  6  -4          -0.19311E+00    0.55884E-05        -0.19113E+00    0.56943E-05
  6   5          -0.97095E-02    0.14433E-01        -0.96204E-02    0.14304E-01
  6  -5           0.97095E-02    0.14433E-01         0.96204E-02    0.14304E-01
  6   6           0.17553E-03   -0.20772E-02         0.17391E-03   -0.20571E-02
  6  -6           0.17553E-03    0.20772E-02         0.17391E-03    0.20571E-02
  7   0          -0.24634E-02    0.00000E+00        -0.24470E-02   -0.30702E-15
  7   1          -0.51588E-02    0.35464E-02        -0.51448E-02    0.35370E-02
  7  -1           0.51588E-02    0.35464E-02         0.51448E-02    0.35370E-02
  7   2          -0.24077E-05    0.12873E+00        -0.23975E-05    0.12878E+00
  7  -2          -0.24077E-05   -0.12873E+00        -0.23975E-05   -0.12878E+00
  7   3           0.12555E-02    0.85878E-03         0.12398E-02    0.84840E-03
  7  -3          -0.12555E-02    0.85878E-03        -0.12398E-02    0.84840E-03
  7   4          -0.24427E-02    0.36109E-03        -0.24432E-02    0.36198E-03
  7  -4          -0.24427E-02   -0.36109E-03        -0.24432E-02   -0.36198E-03
  7   5           0.27233E-02   -0.18617E-02         0.27423E-02   -0.18744E-02
  7  -5          -0.27233E-02   -0.18617E-02        -0.27423E-02   -0.18744E-02
  7   6          -0.43803E-05    0.11780E+00        -0.43125E-05    0.11784E+00
  7  -6          -0.43803E-05   -0.11780E+00        -0.43125E-05   -0.11784E+00
  7   7           0.47002E-02    0.32245E-02         0.46773E-02    0.32093E-02
  7  -7          -0.47002E-02    0.32245E-02        -0.46773E-02    0.32093E-02
  7   1          -0.51588E-02    0.35464E-02        -0.51448E-02    0.35370E-02
  7  -1           0.51588E-02    0.35464E-02         0.51448E-02    0.35370E-02
  7   2          -0.24077E-05    0.12873E+00        -0.23975E-05    0.12878E+00
  7  -2          -0.24077E-05   -0.12873E+00        -0.23975E-05   -0.12878E+00
  7   3           0.12555E-02    0.85878E-03         0.12398E-02    0.84840E-03
  7  -3          -0.12555E-02    0.85878E-03        -0.12398E-02    0.84840E-03
  7   4          -0.24427E-02    0.36109E-03        -0.24432E-02    0.36198E-03
  7  -4          -0.24427E-02   -0.36109E-03        -0.24432E-02   -0.36198E-03
  7   5           0.27233E-02   -0.18617E-02         0.27423E-02   -0.18744E-02
  7  -5          -0.27233E-02   -0.18617E-02        -0.27423E-02   -0.18744E-02
  7   6          -0.43803E-05    0.11780E+00        -0.43125E-05    0.11784E+00
  7  -6          -0.43803E-05   -0.11780E+00        -0.43125E-05   -0.11784E+00
  7   7           0.47002E-02    0.32245E-02         0.46773E-02    0.32093E-02
  7  -7          -0.47002E-02    0.32245E-02        -0.46773E-02    0.32093E-02
  8   0           0.52642E-01    0.00000E+00         0.56887E-01   -0.99716E-14
  8   1           0.59091E-03   -0.93639E-03         0.52884E-03   -0.83566E-03
  8  -1          -0.59091E-03   -0.93639E-03        -0.52884E-03   -0.83566E-03
  8   2           0.10447E-03    0.31325E-02         0.11473E-03    0.34716E-02
  8  -2           0.10447E-03   -0.31325E-02         0.11473E-03   -0.34716E-02
  8   3          -0.88123E-03   -0.12358E-02        -0.11223E-02   -0.16031E-02
  8  -3           0.88123E-03   -0.12358E-02         0.11223E-02   -0.16031E-02
  8   4           0.19352E-01    0.87882E-05         0.20944E-01    0.88495E-05
  8  -4           0.19352E-01   -0.87882E-05         0.20944E-01   -0.88495E-05
  8   5          -0.56801E-02    0.85179E-02        -0.61404E-02    0.92027E-02
  8  -5           0.56801E-02    0.85179E-02         0.61404E-02    0.92027E-02
  8   6           0.32691E-03   -0.14344E-02         0.33123E-03   -0.14900E-02
  8  -6           0.32691E-03    0.14344E-02         0.33123E-03    0.14900E-02
  8   7          -0.33965E-02   -0.50330E-02        -0.38739E-02   -0.57549E-02
  8  -7           0.33965E-02   -0.50330E-02         0.38739E-02   -0.57549E-02
  8   8           0.29792E-01   -0.14592E-05         0.32206E-01   -0.21945E-05
  8  -8           0.29792E-01    0.14592E-05         0.32206E-01    0.21945E-05
  8   1           0.59091E-03   -0.93639E-03         0.52884E-03   -0.83566E-03
  8  -1          -0.59091E-03   -0.93639E-03        -0.52884E-03   -0.83566E-03
  8   2           0.10447E-03    0.31325E-02         0.11473E-03    0.34716E-02
  8  -2           0.10447E-03   -0.31325E-02         0.11473E-03   -0.34716E-02
  8   3          -0.88123E-03   -0.12358E-02        -0.11223E-02   -0.16031E-02
  8  -3           0.88123E-03   -0.12358E-02         0.11223E-02   -0.16031E-02
  8   4           0.19352E-01    0.87882E-05         0.20944E-01    0.88495E-05
  8  -4           0.19352E-01   -0.87882E-05         0.20944E-01   -0.88495E-05
  8   5          -0.56801E-02    0.85179E-02        -0.61404E-02    0.92027E-02
  8  -5           0.56801E-02    0.85179E-02         0.61404E-02    0.92027E-02
  8   6           0.32691E-03   -0.14344E-02         0.33123E-03   -0.14900E-02
  8  -6           0.32691E-03    0.14344E-02         0.33123E-03    0.14900E-02
  8   7          -0.33965E-02   -0.50330E-02        -0.38739E-02   -0.57549E-02
  8  -7           0.33965E-02   -0.50330E-02         0.38739E-02   -0.57549E-02
  8   8           0.29792E-01   -0.14592E-05         0.32206E-01   -0.21945E-05
  8  -8           0.29792E-01    0.14592E-05         0.32206E-01    0.21945E-05

          integral of pseudo charge density inside the slab=        0.000000   0.000000

     coulomb potential in the interstitial region:

          density-coulomb potential integrals


          interstitial :                       0.7807210377

          muffin tin spheres :              -845.1833309646

          total density-coulomb potenti     -844.4026099270
 wrtdop title:alpha Si                                                                ordered*

     interstitial potential average (vbar) = -0.027906

 999idsprs in starting of nmtxad= 0

          density-effective potential integrals for spin  1


          interstitial :                      -0.4749447556

          muffin tin spheres :              -897.8378392722

          total density-effective poten     -898.3127840279

          charge density-energy density integrals


          interstitial :                      -0.9795632381

          muffin tin spheres :               -40.7649508692

          total charge density-energy d      -41.7445141073
 vgen: pottot deleted
 wrtdop title:alpha Si                                                                ordered*
 IT=  13  ISEC1=  99 standard diagonalization
  Atom  1 3s branch from -4.72 to  1.07 htr. ; e_l = -0.1341
  Atom  1 3p branch from -3.11 to  1.55 htr. ; e_l =  0.0500
  Atom  1 3d branch from -9.99 to  1.95 htr. ; e_l =  0.2439
  Atom  1 4f branch from -9.99 to  4.11 htr. ; e_l =  0.4116
  Atom  2 3s branch from -4.72 to  1.07 htr. ; e_l = -0.1341
  Atom  2 3p branch from -3.11 to  1.55 htr. ; e_l =  0.0500
  Atom  2 3d branch from -9.99 to  1.95 htr. ; e_l =  0.2439
  Atom  2 4f branch from -9.99 to  4.11 htr. ; e_l =  0.4116


 wavefunction parameters for atom type  1:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.13409        4.7800588E-01  -2.4465366E-01    2       -3.1232929E-01  -7.4530269E-01    2   1.0766710E-01   4.3267158E-01
  1   0.04999       -5.5348712E-01   9.9418242E-02    1        2.6599577E-01   7.3396795E-01    2   7.9521943E-02   4.3268664E-01
  2   0.24387        6.4439219E-01   1.6344256E-01    0       -2.3289853E-01  -7.3053287E-01    1   6.5178937E-02   4.3268414E-01
  3   0.41164        8.3800007E-01   7.5544845E-01    0       -1.2158489E-01  -6.2593055E-01    1   1.3122242E-02   4.3267873E-01
  4   0.41164        9.7736354E-01   1.4626809E+00    0       -8.2132586E-02  -5.6560526E-01    1   4.9166923E-03   4.3266820E-01
  5   0.41164        1.0889890E+00   2.2153832E+00    0       -6.1660944E-02  -5.2273998E-01    1   2.3795468E-03   4.3265549E-01
  6   0.41164        1.1859741E+00   3.0206232E+00    0       -4.8925249E-02  -4.8940792E-01    1   1.3189789E-03   4.3264038E-01
  7   0.41164        1.2734321E+00   3.8786657E+00    0       -4.0219931E-02  -4.6223314E-01    1   7.9808738E-04   4.3262283E-01
  8   0.41164        1.3539864E+00   4.7881050E+00    0       -3.3904804E-02  -4.3940067E-01    1   5.1413446E-04   4.3260278E-01


 wavefunction parameters for atom type  2:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.13409        4.7800588E-01  -2.4465367E-01    2       -3.1232929E-01  -7.4530269E-01    2   1.0766710E-01   4.3267158E-01
  1   0.04999       -5.5348712E-01   9.9418252E-02    1        2.6599578E-01   7.3396795E-01    2   7.9521944E-02   4.3268664E-01
  2   0.24387        6.4439219E-01   1.6344255E-01    0       -2.3289853E-01  -7.3053287E-01    1   6.5178939E-02   4.3268414E-01
  3   0.41164        8.3800006E-01   7.5544844E-01    0       -1.2158489E-01  -6.2593055E-01    1   1.3122242E-02   4.3267873E-01
  4   0.41164        9.7736354E-01   1.4626809E+00    0       -8.2132587E-02  -5.6560526E-01    1   4.9166924E-03   4.3266820E-01
  5   0.41164        1.0889890E+00   2.2153832E+00    0       -6.1660944E-02  -5.2273998E-01    1   2.3795468E-03   4.3265549E-01
  6   0.41164        1.1859741E+00   3.0206232E+00    0       -4.8925250E-02  -4.8940792E-01    1   1.3189789E-03   4.3264038E-01
  7   0.41164        1.2734321E+00   3.8786657E+00    0       -4.0219931E-02  -4.6223314E-01    1   7.9808738E-04   4.3262283E-01
  8   0.41164        1.3539864E+00   4.7881050E+00    0       -3.3904804E-02  -4.3940067E-01    1   5.1413446E-04   4.3260278E-01


 k=(    0.444444    0.444444    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.153280   -0.031293    0.159306    0.163882    0.258587
         0.324574    0.329870    0.487745


 k=(    0.333333    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155807   -0.016636    0.134401    0.147133    0.282764
         0.327031    0.355424    0.456842


 k=(    0.222222    0.444444    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149604   -0.001541    0.095572    0.126844    0.263607
         0.363102    0.395648    0.410692


 k=(    0.111111    0.444444    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133882   -0.013596    0.094256    0.110453    0.240047
         0.284585    0.479228    0.481202


 k=(    0.000000    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.109044   -0.046474    0.102274    0.107596    0.228001
         0.244450    0.544473    0.545265


 k=(   -0.111111    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.085594   -0.069896    0.085730    0.103582    0.233510
         0.270559    0.542643    0.551618


 k=(    0.222222    0.555556    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107770   -0.042866    0.061525    0.114177    0.246329
         0.342994    0.468496    0.471697


 k=(    0.333333    0.555556    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128235   -0.032822    0.076669    0.132190    0.268738
         0.386840    0.397743    0.434831


 k=(    0.555556    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143573   -0.035778    0.125162    0.151858    0.282834
         0.327785    0.346526    0.501226


 k=(    0.444444    0.333333    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155848   -0.016444    0.132471    0.148931    0.283239
         0.328016    0.353720    0.455743


 k=(    0.333333    0.333333    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165140   -0.000120    0.121288    0.166961    0.290187
         0.336918    0.339240    0.476509


 k=(    0.222222    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164629    0.017667    0.096393    0.146835    0.304000
         0.336244    0.384323    0.403148


 k=(    0.111111    0.333333    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153777    0.012629    0.094953    0.119002    0.273270
         0.310800    0.402721    0.466475


 k=(    0.000000    0.333333    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132897   -0.016358    0.090604    0.115990    0.245257
         0.279235    0.479960    0.483708


 k=(   -0.111111    0.333333    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104154   -0.048509    0.083709    0.094294    0.265639
         0.279963    0.470633    0.535967


 k=(   -0.222222    0.333333    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.090022   -0.059316    0.061330    0.092609    0.277041
         0.343700    0.449012    0.458083


 k=(    0.666667    0.333333    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114369   -0.035890    0.057317    0.109589    0.294950
         0.369553    0.431858    0.447727


 k=(    0.555556    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138135   -0.025713    0.090673    0.132751    0.308919
         0.319094    0.402803    0.446686


 k=(    0.444444    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149664   -0.001050    0.093756    0.128137    0.264890
         0.361787    0.395654    0.409422


 k=(    0.333333    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164637    0.017880    0.095589    0.147519    0.304347
         0.337081    0.383680    0.401195


 k=(    0.222222    0.222222    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169430    0.026843    0.085213    0.166317    0.303689
         0.364729    0.374785    0.419056


 k=(    0.111111    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163615    0.011823    0.100896    0.146666    0.310878
         0.335967    0.378024    0.407317


 k=(    0.000000    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147500   -0.009116    0.094899    0.132985    0.270626
         0.356049    0.397572    0.412258


 k=(   -0.111111    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122437   -0.030788    0.069179    0.113230    0.291024
         0.346659    0.390282    0.479096


 k=(   -0.222222    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.093423   -0.055017    0.059246    0.085568    0.343711
         0.355316    0.374634    0.436209


 k=(    0.666667    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.097547   -0.048784    0.061523    0.080911    0.346072
         0.350041    0.373358    0.440554


 k=(    0.555556    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125937   -0.022156    0.070718    0.105886    0.286354
         0.351668    0.385263    0.480628


 k=(    0.444444    0.111111    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133913   -0.013404    0.092962    0.111508    0.241158
         0.283572    0.478323    0.480871


 k=(    0.333333    0.111111    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153753    0.012445    0.095195    0.118980    0.273444
         0.310524    0.402767    0.466291


 k=(    0.222222    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163587    0.011512    0.101809    0.146042    0.310476
         0.335206    0.378640    0.409064


 k=(    0.111111    0.111111    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163011   -0.008656    0.128772    0.164607    0.292702
         0.338562    0.348910    0.472761


 k=(    0.000000    0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152470   -0.026481    0.133392    0.154507    0.287827
         0.333143    0.355790    0.449996


 k=(   -0.111111    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133329   -0.037373    0.089779    0.141346    0.310583
         0.328710    0.400404    0.440718


 k=(   -0.222222    0.111111    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108135   -0.047597    0.056391    0.116496    0.300711
         0.373507    0.424562    0.444467


 k=(    0.666667    0.111111    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.083651   -0.066855    0.057418    0.097685    0.282996
         0.337841    0.447238    0.458981


 k=(    0.555556    0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105951   -0.045297    0.084656    0.091510    0.267532
         0.278610    0.465143    0.535450


 k=(    0.444444    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.108899   -0.046773    0.103235    0.106873    0.228438
         0.243916    0.544599    0.545104


 k=(    0.333333    0.000000    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132760   -0.016957    0.092067    0.115205    0.244238
         0.279979    0.479889    0.485021


 k=(    0.222222    0.000000    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147393   -0.009745    0.096561    0.132041    0.269259
         0.357131    0.397360    0.413956


 k=(    0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152410   -0.026706    0.134675    0.153442    0.287354
         0.331573    0.358003    0.451120


 k=(    0.000000    0.000000    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.148642   -0.042575    0.160062    0.169132    0.262150
         0.326410    0.337164    0.491927


 k=(   -0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137974   -0.048174    0.125660    0.158291    0.287067
         0.332373    0.348737    0.505690


 k=(    0.222222    0.000000    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122505   -0.045135    0.077910    0.137676    0.274764
         0.388984    0.399608    0.428465


 k=(    0.333333    0.000000    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.102677   -0.051272    0.059867    0.119117    0.252256
         0.337270    0.468608    0.474212


 k=(    0.555556    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.078474   -0.077363    0.081258    0.108248    0.239502
         0.264779    0.538562    0.551413


 k=(    0.444444   -0.111111    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.084109   -0.071571    0.084954    0.104556    0.234726
         0.269327    0.541743    0.551730


 k=(    0.333333   -0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103600   -0.049506    0.084206    0.094377    0.265845
         0.279578    0.471764    0.536105


 k=(    0.222222   -0.111111    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122129   -0.031676    0.069958    0.113224    0.289558
         0.347963    0.391349    0.479274


 k=(    0.111111   -0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133163   -0.037753    0.089737    0.141735    0.309839
         0.329372    0.400208    0.441880


 k=(    0.000000   -0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137915   -0.048240    0.124477    0.159654    0.287522
         0.333934    0.346263    0.505543


 k=(    0.111111    0.111111    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.138153   -0.047979    0.130465    0.152824    0.285868
         0.330286    0.353447    0.506323


 k=(    0.222222    0.111111    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133849   -0.036787    0.095366    0.134739    0.313951
         0.321067    0.407414    0.441289


 k=(    0.333333    0.111111    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123242   -0.029372    0.072701    0.108563    0.290730
         0.347842    0.386361    0.483788


 k=(    0.444444    0.111111    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105166   -0.046751    0.084807    0.092220    0.266954
         0.278934    0.467494    0.535857


 k=(    0.555556    0.222222    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107504   -0.043139    0.060397    0.115273    0.247610
         0.341744    0.466893    0.471877


 k=(    0.333333   -0.222222    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.088828   -0.060830    0.060608    0.093662    0.278259
         0.342445    0.448234    0.458743


 k=(    0.222222   -0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.092355   -0.056556    0.059054    0.086289    0.344310
         0.355083    0.375080    0.435353


 k=(    0.111111   -0.222222    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.107761   -0.048133    0.055891    0.117151    0.302189
         0.371762    0.424121    0.444565


 k=(    0.000000    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122418   -0.045102    0.076694    0.138745    0.276222
         0.388455    0.397627    0.428199


 k=(    0.111111    0.222222    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133844   -0.036652    0.093967    0.136107    0.313706
         0.322507    0.405715    0.440282


 k=(    0.222222    0.222222    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139156   -0.021638    0.074186    0.147350    0.284874
         0.388294    0.391059    0.464109


 k=(    0.333333    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136452   -0.012567    0.062918    0.127526    0.315591
         0.353309    0.384294    0.457796


 k=(    0.444444    0.222222    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125404   -0.023438    0.069405    0.108331    0.285807
         0.351643    0.387931    0.477879


 k=(    0.555556    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128116   -0.032855    0.075274    0.133560    0.270061
         0.385933    0.396245    0.434509


 k=(    0.333333    0.666667    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114055   -0.036412    0.056700    0.110434    0.296334
         0.367917    0.431056    0.448197


 k=(    0.222222    0.666667    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.096830   -0.049910    0.060978    0.081911    0.344986
         0.351752    0.373606    0.439645


 k=(    0.111111    0.666667    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.082090   -0.068550    0.056669    0.098526    0.284299
         0.336622    0.447320    0.458708


 k=(    0.000000    0.333333    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.102599   -0.051145    0.058677    0.119961    0.253650
         0.336088    0.467520    0.473761


 k=(    0.111111    0.333333    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123269   -0.029057    0.071175    0.109777    0.291967
         0.346539    0.386542    0.482353


 k=(    0.222222    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136471   -0.012477    0.062848    0.127497    0.315710
         0.352931    0.384607    0.458046


 k=(    0.333333    0.333333    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141151   -0.014450    0.068537    0.148211    0.285077
         0.382633    0.384140    0.470155


 k=(    0.444444    0.333333    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137818   -0.026205    0.087742    0.136429    0.306868
         0.323337    0.398963    0.446858


 k=(    0.444444    0.555556    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143519   -0.035838    0.123536    0.153718    0.283274
         0.328614    0.344756    0.501150


 k=(    0.333333    0.555556    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138010   -0.026039    0.090513    0.133232    0.307766
         0.320180    0.402669    0.447782


 k=(    0.222222    0.555556    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125739   -0.022825    0.071412    0.105803    0.284926
         0.353161    0.386201    0.480745


 k=(    0.111111    0.555556    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105703   -0.045728    0.084051    0.092346    0.266685
         0.279404    0.466263    0.535482


 k=(    0.000000    0.555556    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.079463   -0.076274    0.080299    0.108986    0.240824
         0.263607    0.537596    0.551238


 k=(    0.111111    0.444444    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105311   -0.046454    0.084192    0.092632    0.266418
         0.279550    0.467439    0.535665


 k=(    0.222222    0.444444    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125473   -0.023463    0.070731    0.107041    0.284672
         0.353135    0.387540    0.479334


 k=(    0.333333    0.444444    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137851   -0.026285    0.089041    0.135067    0.306831
         0.322233    0.400715    0.447878


 k=(    0.444444    0.444444    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143466   -0.035899    0.122144    0.155322    0.283736
         0.329990    0.342428    0.501109


 k=(    0.444444    0.444444    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155892   -0.016240    0.130911    0.150326    0.283725
         0.329357    0.351648    0.454679


 k=(    0.333333    0.444444    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165242    0.000192    0.122443    0.165163    0.289830
         0.335665    0.341500    0.475885


 k=(    0.222222    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164788    0.018348    0.097308    0.144991    0.304808
         0.334404    0.384424    0.404723


 k=(    0.111111    0.444444    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154000    0.013880    0.094611    0.118036    0.273641
         0.310805    0.401369    0.466704


 k=(    0.000000    0.444444    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133200   -0.015303    0.089611    0.116052    0.245471
         0.279251    0.479041    0.482459


 k=(   -0.111111    0.444444    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104551   -0.047804    0.083595    0.094014    0.265900
         0.279803    0.469520    0.535942


 k=(   -0.222222    0.444444    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.089973   -0.059387    0.061361    0.092607    0.277035
         0.343677    0.449398    0.457782


 k=(    0.666667    0.444444    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114248   -0.036042    0.056784    0.110244    0.294847
         0.370480    0.432309    0.446762


 k=(    0.555556    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138107   -0.025617    0.089279    0.134173    0.308806
         0.320382    0.400949    0.445762


 k=(    0.444444    0.333333    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165343    0.000488    0.123798    0.163160    0.289509
         0.335413    0.342741    0.475631


 k=(    0.333333    0.333333    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.179955    0.017494    0.165430    0.170026    0.265770
         0.329473    0.334653    0.490746


 k=(    0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184128    0.039434    0.149050    0.150888    0.287487
         0.330615    0.364860    0.405025


 k=(    0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177346    0.049581    0.122922    0.130338    0.258633
         0.324892    0.404632    0.417088


 k=(    0.000000    0.333333    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159802    0.022411    0.115980    0.121805    0.233467
         0.280593    0.469580    0.469776


 k=(   -0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133000   -0.016614    0.097150    0.110278    0.239474
         0.284374    0.480995    0.485834


 k=(   -0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.105505   -0.047359    0.064120    0.113990    0.246102
         0.342963    0.472600    0.473835


 k=(    0.666667    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.113788   -0.036122    0.048697    0.126521    0.260438
         0.422336    0.445171    0.458716


 k=(    0.555556    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141791   -0.012877    0.070034    0.145328    0.282338
         0.384274    0.386877    0.469621


 k=(    0.444444    0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164954    0.019223    0.097526    0.143721    0.306107
         0.333273    0.383823    0.404408


 k=(    0.333333    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184173    0.039813    0.147100    0.152355    0.287879
         0.331819    0.363324    0.403749


 k=(    0.222222    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192884    0.061210    0.130109    0.182530    0.301669
         0.331814    0.343424    0.428950


 k=(    0.111111    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190425    0.068445    0.120694    0.162155    0.293323
         0.343531    0.367199    0.388893


 k=(    0.000000    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176847    0.045023    0.121117    0.136666    0.261649
         0.321076    0.406677    0.419208


 k=(   -0.111111    0.222222    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153114    0.009247    0.094915    0.122634    0.272164
         0.310652    0.406595    0.466407


 k=(   -0.222222    0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123458   -0.029092    0.073796    0.107952    0.284146
         0.353731    0.389930    0.482812


 k=(    0.666667    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.112090   -0.040960    0.059641    0.110144    0.294606
         0.374914    0.427905    0.446673


 k=(    0.555556    0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137459   -0.009255    0.062825    0.124924    0.312878
         0.354257    0.384567    0.458718


 k=(    0.444444    0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154198    0.014942    0.094667    0.116882    0.274210
         0.310538    0.400055    0.466812


 k=(    0.333333    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177389    0.050157    0.120952    0.131627    0.259417
         0.324342    0.404276    0.416168


 k=(    0.222222    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190419    0.068308    0.120821    0.162226    0.293366
         0.343601    0.366988    0.388700


 k=(    0.111111    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192328    0.054805    0.136638    0.180968    0.304775
         0.338634    0.343311    0.424773


 k=(    0.000000    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183023    0.031759    0.148599    0.157987    0.292631
         0.335467    0.365892    0.398123


 k=(   -0.111111    0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163130    0.010042    0.097844    0.152275    0.307976
         0.341568    0.378026    0.402932


 k=(   -0.222222    0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134954   -0.016978    0.062470    0.131468    0.319248
         0.351893    0.384171    0.457563


 k=(   -0.333333    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110399   -0.043525    0.056505    0.114243    0.301356
         0.366967    0.425534    0.447141


 k=(    0.555556    0.111111    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.124659   -0.025411    0.070247    0.108238    0.291132
         0.347244    0.384765    0.481651


 k=(    0.444444    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133365   -0.014866    0.090096    0.115324    0.244656
         0.280031    0.477997    0.482593


 k=(    0.333333    0.000000    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159777    0.022183    0.117037    0.121039    0.233610
         0.280342    0.469421    0.469774


 k=(    0.222222    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176778    0.044154    0.123013    0.135868    0.261023
         0.321240    0.406709    0.420386


 k=(    0.111111    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182968    0.031328    0.149454    0.157749    0.292275
         0.333798    0.367735    0.399377


 k=(    0.000000    0.000000    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178115    0.008604    0.166629    0.175732    0.269637
         0.331314    0.341725    0.491544


 k=(   -0.111111    0.000000    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162683   -0.009542    0.124821    0.170477    0.293524
         0.337840    0.346801    0.472836


 k=(   -0.222222    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138136   -0.023823    0.071682    0.151758    0.288538
         0.384208    0.389057    0.464700


 k=(   -0.333333    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.109295   -0.044115    0.046715    0.132230    0.266722
         0.415435    0.438916    0.463376


 k=(    0.555556    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104479   -0.047959    0.058123    0.119249    0.252409
         0.337213    0.465623    0.473207


 k=(    0.444444   -0.111111    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104399   -0.048105    0.084091    0.093719    0.266397
         0.279225    0.469580    0.536137


 k=(    0.333333   -0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132729   -0.017453    0.096829    0.111275    0.240381
         0.283324    0.481175    0.486571


 k=(    0.222222   -0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152865    0.007938    0.095382    0.123557    0.271986
         0.310365    0.407913    0.466322


 k=(    0.111111   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162937    0.009100    0.097909    0.153348    0.306887
         0.342393    0.378607    0.403296


 k=(    0.000000   -0.111111    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162570   -0.009867    0.123863    0.172065    0.293887
         0.337997    0.345646    0.473876


 k=(   -0.111111   -0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152246   -0.027307    0.140467    0.148116    0.286032
         0.328672    0.362720    0.454685


 k=(   -0.222222   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133385   -0.037816    0.094804    0.136256    0.310380
         0.324328    0.406609    0.445201


 k=(   -0.333333   -0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108583   -0.047209    0.058487    0.114140    0.301113
         0.370239    0.422497    0.447633


 k=(    0.555556   -0.111111    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.083395   -0.067170    0.057490    0.097690    0.282977
         0.337792    0.448018    0.458424


 k=(    0.444444   -0.222222    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.088684   -0.061033    0.060688    0.093661    0.278242
         0.342388    0.449161    0.458042


 k=(    0.333333   -0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104363   -0.049256    0.063857    0.115020    0.247307
         0.341734    0.472433    0.474597


 k=(    0.222222   -0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122674   -0.030973    0.073576    0.109420    0.285130
         0.352538    0.391039    0.482510


 k=(    0.111111   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134411   -0.018594    0.062594    0.132594    0.320794
         0.351366    0.383891    0.457177


 k=(    0.000000   -0.222222    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.137785   -0.024605    0.071064    0.152979    0.290016
         0.382936    0.388094    0.465350


 k=(   -0.111111   -0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133214   -0.038061    0.093392    0.137983    0.309634
         0.326188    0.404725    0.445343


 k=(   -0.222222   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122824   -0.045128    0.082077    0.133679    0.271007
         0.391012    0.403928    0.430089


 k=(    0.333333    0.222222    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109667   -0.045664    0.060485    0.111616    0.297233
         0.374787    0.423395    0.448088


 k=(    0.444444    0.222222    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.095829   -0.051523    0.060923    0.082662    0.346738
         0.350135    0.374228    0.438978


 k=(    0.444444    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113798   -0.036747    0.055686    0.111721    0.296094
         0.369752    0.431889    0.446563


 k=(    0.333333    0.666667    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.112913   -0.037785    0.048356    0.127706    0.261714
         0.420651    0.443800    0.459536


 k=(    0.222222    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110824   -0.043344    0.059440    0.111560    0.295810
         0.375747    0.426169    0.446189


 k=(    0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109068   -0.045931    0.056431    0.115460    0.302661
         0.367683    0.424100    0.446359


 k=(    0.000000   -0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.108326   -0.045730    0.046400    0.133159    0.268135
         0.414053    0.437542    0.465294


 k=(   -0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108125   -0.047793    0.057406    0.115404    0.302548
         0.369340    0.422580    0.446584


 k=(    0.222222    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109580   -0.045713    0.059889    0.112240    0.297179
         0.375650    0.423878    0.446952


 k=(    0.333333    0.333333    0.666667):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.112016   -0.039462    0.048082    0.128773    0.263092
         0.418865    0.442330    0.460886


 k=(    0.444444    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113481   -0.037276    0.055159    0.112464    0.297568
         0.368012    0.430947    0.447254


 k=(    0.444444    0.555556    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137948   -0.025862    0.087824    0.136011    0.307740
         0.322522    0.399064    0.445837


 k=(    0.333333    0.555556    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141473   -0.013650    0.069227    0.146837    0.283645
         0.383206    0.385806    0.469673


 k=(    0.222222    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136978   -0.010819    0.062755    0.126258    0.314234
         0.353536    0.384705    0.458491


 k=(    0.111111    0.555556    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123985   -0.027071    0.069940    0.109631    0.292162
         0.346217    0.385761    0.481285


 k=(    0.000000    0.555556    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103528   -0.049458    0.057802    0.120028    0.253727
         0.336051    0.465992    0.473313


 k=(   -0.111111    0.555556    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.081969   -0.068693    0.056696    0.098529    0.284291
         0.336604    0.447606    0.458506


 k=(    0.222222    0.444444    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.095971   -0.051269    0.060717    0.082731    0.345462
         0.351663    0.374045    0.438830


 k=(    0.333333    0.444444    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113617   -0.037092    0.055643    0.111830    0.297708
         0.367101    0.430570    0.447921


 k=(    0.555556    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128005   -0.032871    0.073974    0.134789    0.271486
         0.385174    0.394438    0.434305


 k=(    0.444444    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149732   -0.000503    0.092026    0.129261    0.266251
         0.360339    0.396090    0.407818


 k=(    0.333333    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164808    0.018814    0.095613    0.146384    0.305534
         0.336027    0.383081    0.400937


 k=(    0.222222    0.444444    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169704    0.028586    0.084911    0.164768    0.302281
         0.366318    0.374107    0.419600


 k=(    0.111111    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164006    0.013941    0.099870    0.145729    0.310660
         0.335164    0.378561    0.405937


 k=(    0.000000    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148038   -0.006921    0.092898    0.133194    0.270733
         0.356016    0.397208    0.410330


 k=(   -0.111111    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123161   -0.028840    0.068015    0.113078    0.291177
         0.346343    0.389545    0.477969


 k=(   -0.222222    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.094307   -0.053729    0.059536    0.084838    0.343380
         0.355081    0.374331    0.437167


 k=(    0.666667    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.097470   -0.048929    0.061661    0.080857    0.347690
         0.348287    0.373449    0.440649


 k=(    0.555556    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125887   -0.022064    0.069313    0.107181    0.287586
         0.350079    0.385664    0.479192


 k=(    0.444444    0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164966    0.019476    0.096628    0.144437    0.306486
         0.334059    0.383132    0.402566


 k=(    0.333333    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184219    0.040227    0.145712    0.153207    0.288263
         0.333302    0.361515    0.402508


 k=(    0.222222    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192966    0.061926    0.130829    0.180542    0.301380
         0.333594    0.342430    0.428559


 k=(    0.111111    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190546    0.070183    0.120219    0.160521    0.293742
         0.343035    0.366536    0.389174


 k=(    0.000000    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177015    0.046835    0.119018    0.136786    0.261857
         0.321398    0.405911    0.417654


 k=(   -0.111111    0.333333    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153340    0.010430    0.094539    0.121784    0.272506
         0.310660    0.405298    0.466395


 k=(   -0.222222    0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123731   -0.028499    0.074542    0.106718    0.284370
         0.353727    0.388664    0.484177


 k=(    0.666667    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.112183   -0.040889    0.060245    0.109492    0.294664
         0.374003    0.427398    0.447929


 k=(    0.555556    0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137448   -0.009311    0.062870    0.124941    0.312818
         0.354478    0.384368    0.458581


 k=(    0.444444    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169973    0.030302    0.084740    0.163071    0.301054
         0.367741    0.373548    0.420108


 k=(    0.333333    0.222222    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.193047    0.062591    0.131789    0.178348    0.301176
         0.335912    0.340849    0.428281


 k=(    0.222222    0.222222    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205870    0.086461    0.177001    0.181749    0.279018
         0.328029    0.332508    0.438876


 k=(    0.111111    0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207409    0.108006    0.160523    0.168109    0.285369
         0.332392    0.359311    0.385707


 k=(    0.000000    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197525    0.094416    0.142238    0.149381    0.254361
         0.336380    0.397164    0.398120


 k=(   -0.111111    0.222222    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176849    0.044455    0.128862    0.130134    0.257940
         0.323684    0.407121    0.421692


 k=(   -0.222222    0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148066   -0.007987    0.101580    0.126259    0.263204
         0.362270    0.397650    0.416522


 k=(   -0.333333    0.222222    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.125303   -0.040034    0.081577    0.131545    0.268441
         0.389923    0.403422    0.432844


 k=(    0.555556    0.222222    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.140640   -0.017235    0.073521    0.144831    0.282209
         0.386923    0.391653    0.466432


 k=(    0.444444    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164364    0.015746    0.099891    0.144000    0.310256
         0.333456    0.379711    0.406287


 k=(    0.333333    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190662    0.071768    0.120079    0.158743    0.294273
         0.342522    0.365721    0.389313


 k=(    0.222222    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207432    0.108615    0.161575    0.166256    0.285662
         0.333162    0.358179    0.385018


 k=(    0.111111    0.111111    0.222222):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213043    0.121784    0.157146    0.195707    0.312774
         0.317129    0.322974    0.399145


 k=(    0.000000    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207136    0.100939    0.165595    0.170637    0.287360
         0.334453    0.358971    0.384559


 k=(   -0.111111    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190060    0.064034    0.120845    0.167630    0.291979
         0.343828    0.370072    0.388810


 k=(   -0.222222    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163481    0.011448    0.098809    0.150328    0.303953
         0.338473    0.382773    0.408167


 k=(   -0.333333    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135115   -0.033524    0.092176    0.136540    0.307377
         0.324838    0.404002    0.447931


 k=(    0.555556    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135828   -0.031835    0.092954    0.134153    0.312526
         0.320116    0.404984    0.441955


 k=(    0.444444    0.000000    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148461   -0.005369    0.092563    0.132447    0.269485
         0.357157    0.396462    0.410172


 k=(    0.333333    0.000000    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177115    0.047734    0.118891    0.136062    0.261448
         0.321909    0.405098    0.417353


 k=(    0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197518    0.094043    0.143555    0.148530    0.254437
         0.336156    0.397228    0.397871


 k=(    0.111111    0.000000    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207107    0.100180    0.165162    0.172169    0.287121
         0.333554    0.359990    0.384991


 k=(    0.000000    0.000000    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205252    0.077742    0.179183    0.188601    0.283565
         0.328418    0.336848    0.435088


 k=(   -0.111111    0.000000    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192075    0.052984    0.133767    0.187444    0.305131
         0.332348    0.347760    0.425545


 k=(   -0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168603    0.022149    0.085418    0.171324    0.306959
         0.361221    0.376654    0.417547


 k=(   -0.333333    0.000000    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138984   -0.020978    0.069508    0.152122    0.288610
         0.381218    0.386885    0.467507


 k=(    0.555556    0.000000    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124753   -0.040089    0.074716    0.138137    0.274946
         0.386089    0.395848    0.430784


 k=(    0.444444   -0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123567   -0.027820    0.067694    0.112882    0.289856
         0.347367    0.389882    0.476986


 k=(    0.333333   -0.111111    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153316    0.010254    0.094749    0.121786    0.272672
         0.310392    0.405347    0.466203


 k=(    0.222222   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176724    0.043271    0.128821    0.131434    0.258504
         0.322792    0.407563    0.422292


 k=(    0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189931    0.062400    0.121385    0.169152    0.291682
         0.343831    0.370943    0.388690


 k=(    0.000000   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.191988    0.052294    0.133235    0.189232    0.305470
         0.330636    0.348713    0.425962


 k=(   -0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182815    0.030216    0.151201    0.157566    0.291169
         0.330132    0.371984    0.403299


 k=(   -0.222222   -0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163041    0.009011    0.100947    0.149999    0.306635
         0.338017    0.380636    0.410278


 k=(   -0.333333   -0.111111    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134922   -0.017114    0.062569    0.131518    0.319007
         0.352541    0.383699    0.457112


 k=(   -0.444444   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109867   -0.044125    0.054571    0.116628    0.300793
         0.370371    0.427443    0.444635


 k=(    0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.094148   -0.053997    0.059720    0.084788    0.343905
         0.354258    0.374566    0.437306


 k=(    0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123225   -0.029806    0.075069    0.106977    0.285592
         0.352506    0.388550    0.485129


 k=(    0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147595   -0.009678    0.101760    0.127355    0.264368
         0.360929    0.398096    0.417170


 k=(    0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163096    0.009572    0.099092    0.151842    0.304560
         0.339874    0.381626    0.407855


 k=(    0.000000   -0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168318    0.020508    0.085752    0.172720    0.308432
         0.359666    0.377538    0.416946


 k=(   -0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162875    0.008380    0.100134    0.151661    0.305940
         0.339617    0.380580    0.408913


 k=(   -0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147123   -0.011326    0.102044    0.128258    0.265620
         0.359573    0.398734    0.417604


 k=(   -0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122445   -0.031656    0.074832    0.108409    0.286660
         0.351268    0.389671    0.484812


 k=(   -0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.093151   -0.055462    0.059530    0.085498    0.344610
         0.353929    0.375026    0.436425


 k=(    0.444444    0.666667    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.096615   -0.050306    0.061324    0.081786    0.347245
         0.349107    0.373877    0.439890


 k=(    0.333333    0.666667    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.111003   -0.043223    0.060638    0.110286    0.295923
         0.373970    0.425179    0.448588


 k=(   -0.222222    0.333333   -0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124092   -0.042565    0.081789    0.132688    0.269671
         0.390342    0.403805    0.431503


 k=(    0.111111   -0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134096   -0.035913    0.092091    0.138144    0.308086
         0.326456    0.403414    0.446731


 k=(    0.000000   -0.333333    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138217   -0.023189    0.069994    0.153165    0.290051
         0.381402    0.387016    0.466879


 k=(   -0.111111   -0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134398   -0.018644    0.062630    0.132613    0.320691
         0.351619    0.383719    0.457000


 k=(   -0.222222   -0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122166   -0.032230    0.074085    0.109618    0.286422
         0.351297    0.390894    0.483560


 k=(   -0.333333   -0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103189   -0.051145    0.063630    0.115932    0.248598
         0.340468    0.473305    0.474329


 k=(   -0.444444   -0.333333    0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.087419   -0.062590    0.060015    0.094615    0.279535
         0.341077    0.448522    0.458583


 k=(    0.444444    0.555556    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125619   -0.022709    0.068680    0.108387    0.287291
         0.350084    0.386988    0.477856


 k=(    0.333333    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136947   -0.010966    0.062871    0.126303    0.314061
         0.354132    0.384188    0.458110


 k=(    0.222222    0.555556    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139908   -0.019434    0.073813    0.146161    0.283477
         0.387349    0.391636    0.465166


 k=(    0.111111    0.555556    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134851   -0.034167    0.092737    0.135862    0.312800
         0.322186    0.404465    0.440685


 k=(    0.000000    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.123573   -0.042555    0.075107    0.138980    0.276311
         0.386926    0.395738    0.429469


 k=(    0.111111    0.444444   -0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108672   -0.046350    0.054975    0.117220    0.302238
         0.370166    0.425578    0.444579


 k=(    0.222222    0.444444   -0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.092245   -0.056730    0.059156    0.086266    0.344654
         0.354550    0.375235    0.435431


 k=(    0.333333    0.444444   -0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.087520   -0.062451    0.059967    0.094615    0.279546
         0.341111    0.447989    0.458976


 k=(    0.555556    0.555556    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107273   -0.043338    0.059306    0.116251    0.248979
         0.340439    0.465700    0.471688


 k=(    0.444444    0.444444    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133965   -0.013123    0.091689    0.112436    0.242313
         0.282553    0.478357    0.479609


 k=(    0.333333    0.444444    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153962    0.013578    0.095020    0.117984    0.273928
         0.310355    0.401439    0.466415


 k=(    0.222222    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163954    0.013318    0.101748    0.144422    0.309846
         0.333670    0.379817    0.409434


 k=(    0.111111    0.444444    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163557   -0.006657    0.128474    0.163340    0.291734
         0.336920    0.349308    0.472868


 k=(    0.000000    0.444444    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153234   -0.024248    0.131539    0.154970    0.287247
         0.333237    0.353593    0.450162


 k=(   -0.111111    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134345   -0.034884    0.088553    0.141139    0.309753
         0.328291    0.399158    0.441074


 k=(   -0.222222    0.444444    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109392   -0.045285    0.055939    0.115931    0.299234
         0.373711    0.426716    0.444049


 k=(    0.666667    0.444444    0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.085013   -0.065335    0.058133    0.096859    0.281647
         0.339114    0.447590    0.458852


 k=(    0.555556    0.444444    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105867   -0.045473    0.085103    0.091185    0.267915
         0.278179    0.465172    0.535563


 k=(    0.444444    0.333333    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154184    0.014826    0.094831    0.116855    0.274321
         0.310367    0.400080    0.466706


 k=(    0.333333    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177438    0.050847    0.119082    0.132673    0.260201
         0.323817    0.404234    0.414963


 k=(    0.222222    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190538    0.069950    0.120442    0.160627    0.293815
         0.343155    0.366183    0.388870


 k=(    0.111111    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192524    0.056711    0.136148    0.179342    0.303750
         0.338630    0.342818    0.425291


 k=(    0.000000    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183308    0.033764    0.146475    0.158205    0.291892
         0.336170    0.363793    0.398014


 k=(   -0.111111    0.333333    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163525    0.012148    0.096724    0.151477    0.307621
         0.340979    0.378533    0.401416


 k=(   -0.222222    0.333333    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135475   -0.015393    0.062341    0.130388    0.317514
         0.352834    0.384151    0.457789


 k=(   -0.333333    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110837   -0.042924    0.057547    0.112982    0.299870
         0.367882    0.425662    0.447995


 k=(    0.555556    0.333333    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.124654   -0.025679    0.071768    0.106996    0.289837
         0.348725    0.384478    0.483080


 k=(    0.444444    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164341    0.015434    0.100861    0.143312    0.309843
         0.332722    0.380353    0.408036


 k=(    0.333333    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190659    0.071675    0.120171    0.158780    0.294302
         0.342570    0.365583    0.389200


 k=(    0.222222    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207456    0.109357    0.162559    0.164315    0.285927
         0.334092    0.356952    0.384361


 k=(    0.111111    0.222222    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213097    0.123805    0.156560    0.193645    0.312082
         0.318933    0.321866    0.399000


 k=(    0.000000    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207222    0.103162    0.163583    0.170046    0.287202
         0.335035    0.357772    0.384134


 k=(   -0.111111    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190184    0.065645    0.120280    0.166232    0.292308
         0.343714    0.369133    0.388843


 k=(   -0.222222    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163645    0.012108    0.099590    0.148670    0.304609
         0.336847    0.382892    0.409575


 k=(   -0.333333    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135279   -0.033279    0.093603    0.134790    0.308053
         0.323021    0.405955    0.447795


 k=(    0.555556    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135840   -0.031964    0.094409    0.132726    0.312952
         0.318483    0.406823    0.442854


 k=(    0.444444    0.111111    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.164094   -0.004657    0.128359    0.161826    0.290866
         0.335936    0.349020    0.473621


 k=(    0.333333    0.111111    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192717    0.058621    0.135848    0.177478    0.302885
         0.339512    0.341355    0.425857


 k=(    0.222222    0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213150    0.125776    0.156343    0.191246    0.312132
         0.320051    0.320758    0.398808


 k=(    0.111111    0.111111    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222684    0.162995    0.191033    0.196226    0.293749
         0.311784    0.315371    0.365316


 k=(    0.000000    0.111111    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220647    0.163577    0.176761    0.187264    0.283109
         0.331963    0.335725    0.356947


 k=(   -0.111111    0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207152    0.101569    0.159982    0.176470    0.285395
         0.330992    0.362783    0.386983


 k=(   -0.222222    0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183293    0.033440    0.148897    0.157035    0.288995
         0.328882    0.371070    0.405582


 k=(   -0.333333    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153673   -0.023237    0.140149    0.145904    0.283969
         0.326670    0.361999    0.457095


 k=(    0.555556    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140535   -0.042905    0.130210    0.150430    0.283956
         0.328007    0.353076    0.504344


 k=(    0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153920   -0.022244    0.131002    0.154288    0.286264
         0.331695    0.353685    0.451364


 k=(    0.333333    0.000000    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183537    0.035342    0.145587    0.157767    0.290886
         0.335100    0.363611    0.399129


 k=(    0.222222    0.000000    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207280    0.104601    0.162303    0.169819    0.286859
         0.334656    0.357645    0.384141


 k=(    0.111111    0.000000    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220645    0.162490    0.178784    0.186434    0.283068
         0.332584    0.334987    0.356888


 k=(    0.000000    0.000000    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222551    0.152073    0.194847    0.205397    0.299404
         0.308613    0.314664    0.362755


 k=(   -0.111111    0.000000    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212880    0.117065    0.156861    0.202952    0.309998
         0.317426    0.325257    0.399502


 k=(   -0.222222    0.000000    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192301    0.055435    0.131287    0.188138    0.303768
         0.329556    0.347911    0.427258


 k=(   -0.333333    0.000000    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163563   -0.006151    0.121909    0.171490    0.292382
         0.335051    0.345054    0.474844


 k=(   -0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140251   -0.043219    0.122420    0.159331    0.286068
         0.331801    0.344748    0.503679


 k=(    0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135163   -0.032796    0.087321    0.141263    0.308397
         0.328378    0.397786    0.442426


 k=(    0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163726    0.013297    0.095722    0.151699    0.306275
         0.341232    0.379627    0.400137


 k=(    0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190179    0.065519    0.120390    0.166310    0.292347
         0.343768    0.368943    0.388644


 k=(    0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207089    0.099978    0.161277    0.176985    0.285788
         0.331220    0.362818    0.386721


 k=(    0.000000   -0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212824    0.115324    0.157466    0.204799    0.310055
         0.316443    0.326205    0.399525


 k=(   -0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207027    0.098482    0.162649    0.177280    0.286204
         0.331526    0.362826    0.386492


 k=(   -0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190052    0.063844    0.121006    0.167761    0.292036
         0.343910    0.369781    0.388486


 k=(   -0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163539    0.012325    0.095851    0.152730    0.305216
         0.342108    0.380197    0.400434


 k=(   -0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135010   -0.033171    0.087299    0.141636    0.307707
         0.329003    0.397654    0.443481


 k=(   -0.444444    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110215   -0.043593    0.055035    0.115994    0.299269
         0.372170    0.428160    0.444184


 k=(   -0.333333    0.222222   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135455   -0.015480    0.062405    0.130419    0.317380
         0.353226    0.383847    0.457520


 k=(   -0.222222    0.222222   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163424    0.010862    0.100688    0.148522    0.305908
         0.336650    0.381801    0.410628


 k=(   -0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183054    0.031810    0.149800    0.157595    0.290040
         0.329433    0.371613    0.404440


 k=(    0.000000    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192102    0.053495    0.132021    0.189594    0.304755
         0.329219    0.348818    0.426846


 k=(    0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189928    0.062332    0.121440    0.169203    0.291702
         0.343860    0.370838    0.388566


 k=(    0.222222    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176604    0.042167    0.129303    0.132093    0.259076
         0.321956    0.408197    0.422721


 k=(   -0.333333   -0.222222    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153076    0.008973    0.095233    0.122648    0.272424
         0.310229    0.406675    0.466093


 k=(   -0.444444   -0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123287   -0.028681    0.068471    0.112873    0.288353
         0.348807    0.390904    0.477040


 k=(    0.555556    0.333333   -0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.084880   -0.065505    0.058179    0.096862    0.281635
         0.339082    0.448096    0.458487


 k=(   -0.333333    0.333333   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109963   -0.044749    0.058555    0.112935    0.299741
         0.369494    0.424132    0.448280


 k=(   -0.222222    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134430   -0.035422    0.094931    0.134666    0.309496
         0.322790    0.407252    0.446450


 k=(   -0.111111    0.333333   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152967   -0.025275    0.139960    0.147397    0.284959
         0.327547    0.362488    0.455916


 k=(    0.000000    0.333333   -0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163015   -0.008179    0.122420    0.172588    0.293285
         0.336249    0.345126    0.474881


 k=(    0.111111    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163145    0.010234    0.096918    0.153579    0.305477
         0.342680    0.379673    0.402086


 k=(    0.222222    0.333333   -0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152850    0.007838    0.095495    0.123567    0.272081
         0.310209    0.407944    0.466201


 k=(    0.333333    0.333333   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132475   -0.018217    0.096542    0.112137    0.241322
         0.282290    0.481735    0.486956


 k=(    0.444444    0.333333   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103905   -0.048994    0.084494    0.093828    0.266425
         0.279049    0.470734    0.536280


 k=(    0.444444    0.555556    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105474   -0.046201    0.085104    0.091618    0.267608
         0.278354    0.466346    0.535785


 k=(    0.333333    0.555556    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123954   -0.027655    0.072988    0.107177    0.289631
         0.348997    0.385295    0.484149


 k=(    0.222222    0.555556    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134868   -0.034429    0.095587    0.133071    0.313379
         0.319206    0.408009    0.442586


 k=(    0.111111    0.555556    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139371   -0.045422    0.130208    0.151791    0.284869
         0.328972    0.353441    0.505317


 k=(    0.000000    0.444444   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139081   -0.045742    0.122862    0.160195    0.286992
         0.333682    0.344232    0.504561


 k=(    0.111111    0.444444   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134026   -0.035638    0.088490    0.141900    0.308331
         0.329566    0.398835    0.443288


 k=(    0.222222    0.444444   -0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122575   -0.030590    0.069571    0.113063    0.288208
         0.349088    0.391632    0.478199


 k=(    0.333333    0.444444   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103504   -0.049690    0.084495    0.094206    0.266139
         0.279235    0.471804    0.536222


 k=(    0.444444    0.444444   -0.111111):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.082576   -0.073238    0.084195    0.105421    0.236024
         0.268058    0.540735    0.551822


 k=(    0.444444    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.108811   -0.046953    0.104085    0.106164    0.228714
         0.243582    0.544760    0.544922


 k=(    0.333333    0.444444    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132949   -0.016432    0.092452    0.114499    0.243349
         0.280855    0.478920    0.485051


 k=(    0.222222    0.444444    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147834   -0.008180    0.096196    0.131337    0.267955
         0.358389    0.396533    0.413803


 k=(    0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153118   -0.024694    0.134005    0.152936    0.286286
         0.330061    0.358104    0.452365


 k=(    0.000000    0.444444    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.149636   -0.040270    0.158548    0.169602    0.261338
         0.324298    0.337392    0.491002


 k=(   -0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139196   -0.045612    0.125175    0.157520    0.286062
         0.330572    0.349195    0.504764


 k=(    0.222222    0.555556    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.123754   -0.042612    0.077516    0.136862    0.273348
         0.388057    0.399761    0.429887


 k=(    0.333333    0.555556    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103731   -0.049622    0.060126    0.118356    0.250897
         0.338497    0.468006    0.474283


 k=(    0.555556    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.079707   -0.076170    0.082127    0.107525    0.238142
         0.266012    0.539618    0.551498


 k=(    0.444444    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133251   -0.015394    0.091473    0.114557    0.243553
         0.280892    0.477959    0.483860


 k=(    0.333333    0.333333    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159763    0.022047    0.117957    0.120293    0.233696
         0.280191    0.469387    0.469711


 k=(    0.222222    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176884    0.045093    0.122741    0.135240    0.260543
         0.321852    0.405856    0.420129


 k=(    0.111111    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183200    0.032890    0.148150    0.157764    0.291171
         0.332786    0.367583    0.400500


 k=(    0.000000    0.333333    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178492    0.010371    0.165020    0.176112    0.268754
         0.329258    0.341963    0.491053


 k=(   -0.111111    0.333333    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163237   -0.007526    0.124298    0.169449    0.292537
         0.336007    0.347386    0.472820


 k=(   -0.222222    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138909   -0.021608    0.071192    0.150741    0.287038
         0.383657    0.389294    0.465445


 k=(   -0.333333    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.110247   -0.042467    0.046973    0.131318    0.265263
         0.417050    0.440397    0.461407


 k=(    0.555556    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104602   -0.047998    0.059255    0.118421    0.250973
         0.338477    0.466573    0.473703


 k=(    0.444444    0.222222    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148365   -0.005998    0.094201    0.131532    0.268073
         0.358455    0.395997    0.411946


 k=(    0.333333    0.222222    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177052    0.046863    0.120729    0.135302    0.260759
         0.322201    0.405010    0.418650


 k=(    0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197514    0.093823    0.144641    0.147719    0.254482
         0.336022    0.397380    0.397607


 k=(    0.111111    0.222222    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207165    0.101583    0.163557    0.172294    0.286732
         0.333155    0.359928    0.385068


 k=(    0.000000    0.222222    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205377    0.079451    0.177335    0.188797    0.282515
         0.326951    0.337397    0.435840


 k=(   -0.111111    0.222222    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192275    0.054911    0.133023    0.186056    0.304041
         0.332471    0.347134    0.425966


 k=(   -0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168886    0.023848    0.085018    0.169954    0.305409
         0.362896    0.375768    0.418153


 k=(   -0.333333    0.222222    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139324   -0.020177    0.070088    0.150920    0.287076
         0.382231    0.388168    0.466730


 k=(    0.555556    0.222222    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124846   -0.040113    0.075910    0.137088    0.273441
         0.386684    0.397892    0.430942


 k=(    0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153865   -0.022466    0.132202    0.153303    0.285776
         0.330090    0.355980    0.452443


 k=(    0.333333    0.111111    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183484    0.034899    0.146450    0.157521    0.290522
         0.333384    0.365559    0.400359


 k=(    0.222222    0.111111    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207252    0.103778    0.162515    0.170733    0.286627
         0.333671    0.358784    0.384644


 k=(    0.111111    0.111111    0.000000):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220645    0.161928    0.180116    0.185729    0.283044
         0.333357    0.334143    0.356853


 k=(    0.000000    0.111111    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222578    0.154112    0.192584    0.205309    0.297998
         0.308243    0.316002    0.363265


 k=(   -0.111111    0.111111    0.000000):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212935    0.118959    0.156049    0.201202    0.309630
         0.318889    0.324116    0.399460


 k=(   -0.222222    0.111111    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192387    0.056162    0.131758    0.186388    0.303394
         0.331112    0.347160    0.426794


 k=(   -0.333333    0.111111    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163673   -0.005822    0.122831    0.169937    0.291997
         0.334878    0.346244    0.473820


 k=(   -0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140307   -0.043155    0.123553    0.158017    0.285594
         0.330264    0.347224    0.503743


 k=(   -0.444444    0.000000    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.150595   -0.037986    0.157588    0.169434    0.260580
         0.323069    0.336767    0.490123


 k=(   -0.333333    0.000000    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178866    0.012149    0.163959    0.175861    0.267931
         0.328054    0.341367    0.491123


 k=(   -0.222222    0.000000    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205502    0.081188    0.176028    0.188365    0.281542
         0.326170    0.337250    0.436589


 k=(   -0.111111    0.000000    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222604    0.156268    0.190780    0.204597    0.296719
         0.308458    0.316681    0.363765


 k=(    0.000000    0.000000    0.000000):       259 3-d basis functions
 the   8 eigenvalues are:
        -0.228429    0.198311    0.203902    0.215994    0.293994
         0.300756    0.304268    0.321011


 fermi energy and band-weighting factors:

FERMIE:
          first approx. to ef    (T=0)  :  0.215994 htr   (energy of the highest occ. eigenvalue)
          number of occ. states  (T=0)  :      1460
          first approx. to seigv (T=0)  :  0.176446 htr
          sum of weights of occ. states :  4.000000
          sum of semicore eigenvalues   :  0.000000 htr
          sum of semicore charge        :  0.000000 e



FERHIS:  Fermi-Energy by histogram:

          bandgap                     :   0.012007 htr
          charge neutrality (T=0)     :   0.000000    (zero if the highest occ. eigenvalue is "entirely" occupied)

     EF_NEWTON:  Adjust Fermi-Energy by Newton-Method.

               Number of iterations needed  :   4
               The error in the weight is   :  0.81927E-14
               The error in ef is           : -0.58847E-12 htr


     -->  new fermi energy            :   0.221269 htr
          valence charge              :   8.000000 e 
          actual charge blw ef-8kt    :   7.997257 e 
          actual charge blw ef+8kt    :   8.000000 e 
          number of occ. states       :      1463
          sum of the valence weights  :   4.000000
          entropy         :   0.000200 *kb htr/K =   0.00000 htr/K

          sum of val. single particle energies:         0.1764462881 htr



          valence density: spin= 1

     l-like charge
     atom     s        p        d        f        total
 --> 1    0.89050  1.17094  0.08212  0.00603    2.15119
 --> 2    0.89050  1.17094  0.08212  0.00603    2.15119
 Energy Parameters for spin:           1
 Max. mismatch of energy parameters:    0.000000

     energy parameters for window 1
     atom     s        p        d        f
 -->  1   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0
 -->  2   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0

          total charge for spin  1=    8.000000
          interst. charge =       3.697628
          mt charge=              2.151186    2.151186

          total charge  =    8.000000


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.2037        2.
               2.   0.   0.5   -4.7107        2.
               2.   1.   0.5   -3.1110        2.
               2.   1.   1.5   -3.0872        4.
          atom type  1  (spin 1) 
          kinetic energy=  0.285372365508E+03     sum of the eigenvalues= -0.158399794946E+03
          0.00178912  electrons lost from core.


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.2037        2.
               2.   0.   0.5   -4.7107        2.
               2.   1.   0.5   -3.1110        2.
               2.   1.   1.5   -3.0872        4.
          atom type  2  (spin 1) 
          kinetic energy=  0.285372365529E+03     sum of the eigenvalues= -0.158399795027E+03
          0.00178912  electrons lost from core.

          alpha=   1.39394     acoff=   0.09674

          alpha=   1.39394     acoff=   0.09674

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*



     t o t a l  e n e r g y

          sum of eigenvalues =              -316.6231436849

          density-coulomb potential int     -844.4026099270

          density-effective potential i     -898.3127840279

          charge density-ex.-corr.energ      -41.7445141073
 
 FORCES: EQUATION A3 FOR ATOM TYPE   1
 FX_A3= -0.013532  0.000000 FY_A3= -0.008921  0.000000 FZ_A3= -0.004206  0.000000
 FORCES: EQUATION A3 FOR ATOM TYPE   2
 FX_A3=  0.013532  0.000000 FY_A3=  0.008921  0.000000 FZ_A3=  0.004207  0.000000

          el.-nucl. inter. diff. m.t.        342.2718672489

          Madelung term for atom type:        -6.6358155905

          el.-nucl. inter. diff. m.t.        342.2718671457

          Madelung term for atom type:        -6.6358156278


 ----> total energy=                        -580.0715443406 htr

 ***** TOTAL FORCES ON ATOMS ***** 

 TOTAL FORCE FOR ATOM TYPE=  1  X=  1.292   Y=  1.292   Z=  1.292
                       FX_TOT=-0.013532 FY_TOT=-0.008921 FZ_TOT=-0.004206
 TOTAL FORCE FOR ATOM TYPE=  2  X= -1.369   Y= -1.344   Z= -1.318
                       FX_TOT= 0.013532 FY_TOT= 0.008921 FZ_TOT= 0.004207
eps_force= 0.00001max= 0.00000


 ---->(tkb*entropy) TS=                        0.0000001998 htr


 ----> free energy=                         -580.0715445404 htr


      extrapolation for T->0
 ----> total electron energy=               -580.0715444405 htr
 wrtdop title:alpha Si                                                                ordered*
 wrtdop title:alpha Si                                                                ordered*
     <vi|w|Fm> for it 2       0.000058
     <vi|w|Fm> for it 3      -0.000083
     <vi|w|Fm> for it 4      -0.000014
     <vi|w|Fm> for it 5      -0.000419
     <vi|w|Fm> for it 6       0.000388
     <vi|w|Fm> for it 7      -0.000330
     <vi|w|Fm> for it 8       0.002111
     <vi|w|Fm> for it 9       0.004838
     <vi|w|Fm> for it10      -0.401532
     <vi|w|Fm> for it11       0.253312
     <vi|w|Fm> for it12      13.209306

----> distance of charge densities for spin  1        it= 13:   0.000004 me/bohr**3

          total charge for spin  1=   28.000000
          interst. charge =       3.701106
          mt charge=             12.149447   12.149447

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701106
          mt charge=             12.149447   12.149447

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*

     ******* it= 13  is completed********



             it=       14

          total charge for spin  1=   28.000000
          interst. charge =       3.701106
          mt charge=             12.149447   12.149447

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701106
          mt charge=             12.149447   12.149447

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*


          p o t e n t i a l   g e n e r a t o r


          multipole moments for atom type=    1

  l   m                   original                      plane wave
  0   0          -0.52203E+00    0.00000E+00         0.77848E+00   -0.20171E-14
  1   0           0.16734E-02    0.00000E+00         0.14127E-02   -0.97501E-15
  1   1          -0.49363E-02    0.31538E-02        -0.40563E-02    0.25988E-02
  1  -1           0.49363E-02    0.31538E-02         0.40563E-02    0.25988E-02
  1   1          -0.49363E-02    0.31538E-02        -0.40563E-02    0.25988E-02
  1  -1           0.49363E-02    0.31538E-02         0.40563E-02    0.25988E-02
  2   0           0.52203E-03    0.00000E+00         0.49875E-03    0.21225E-16
  2   1           0.12346E-01   -0.18690E-01         0.11743E-01   -0.17751E-01
  2  -1          -0.12346E-01   -0.18690E-01        -0.11743E-01   -0.17751E-01
  2   2          -0.29032E-03    0.58685E-02        -0.27746E-03    0.56344E-02
  2  -2          -0.29032E-03   -0.58685E-02        -0.27746E-03   -0.56344E-02
  2   1           0.12346E-01   -0.18690E-01         0.11743E-01   -0.17751E-01
  2  -1          -0.12346E-01   -0.18690E-01        -0.11743E-01   -0.17751E-01
  2   2          -0.29032E-03    0.58685E-02        -0.27746E-03    0.56344E-02
  2  -2          -0.29032E-03   -0.58685E-02        -0.27746E-03   -0.56344E-02
  3   0          -0.84953E-02    0.00000E+00        -0.82483E-02   -0.11927E-14
  3   1          -0.10736E-01    0.72030E-02        -0.10356E-01    0.69546E-02
  3  -1           0.10736E-01    0.72030E-02         0.10356E-01    0.69546E-02
  3   2          -0.55444E-05    0.46967E+00        -0.47340E-05    0.46256E+00
  3  -2          -0.55444E-05   -0.46967E+00        -0.47340E-05   -0.46256E+00
  3   3           0.13842E-01    0.92682E-02         0.13355E-01    0.89520E-02
  3  -3          -0.13842E-01    0.92682E-02        -0.13355E-01    0.89520E-02
  3   1          -0.10736E-01    0.72030E-02        -0.10356E-01    0.69546E-02
  3  -1           0.10736E-01    0.72030E-02         0.10356E-01    0.69546E-02
  3   2          -0.55444E-05    0.46967E+00        -0.47340E-05    0.46256E+00
  3  -2          -0.55444E-05   -0.46967E+00        -0.47340E-05   -0.46256E+00
  3   3           0.13842E-01    0.92682E-02         0.13355E-01    0.89520E-02
  3  -3          -0.13842E-01    0.92682E-02        -0.13355E-01    0.89520E-02
  4   0          -0.27309E+00    0.00000E+00        -0.26912E+00    0.11450E-14
  4   1           0.34670E-03   -0.37978E-03         0.41295E-03   -0.48739E-03
  4  -1          -0.34670E-03   -0.37978E-03        -0.41295E-03   -0.48739E-03
  4   2          -0.31491E-03   -0.10924E-02        -0.30581E-03   -0.11522E-02
  4  -2          -0.31491E-03    0.10924E-02        -0.30581E-03    0.11522E-02
  4   3           0.83823E-03    0.95990E-03         0.10181E-02    0.12472E-02
  4  -3          -0.83823E-03    0.95990E-03        -0.10181E-02    0.12472E-02
  4   4          -0.16268E+00   -0.84935E-05        -0.16032E+00   -0.79850E-05
  4  -4          -0.16268E+00    0.84935E-05        -0.16032E+00    0.79850E-05
  4   1           0.34670E-03   -0.37978E-03         0.41295E-03   -0.48739E-03
  4  -1          -0.34670E-03   -0.37978E-03        -0.41295E-03   -0.48739E-03
  4   2          -0.31491E-03   -0.10924E-02        -0.30581E-03   -0.11522E-02
  4  -2          -0.31491E-03    0.10924E-02        -0.30581E-03    0.11522E-02
  4   3           0.83823E-03    0.95990E-03         0.10181E-02    0.12472E-02
  4  -3          -0.83823E-03    0.95990E-03        -0.10181E-02    0.12472E-02
  4   4          -0.16268E+00   -0.84935E-05        -0.16032E+00   -0.79850E-05
  4  -4          -0.16268E+00    0.84935E-05        -0.16032E+00    0.79850E-05
  5   0           0.53228E-02    0.00000E+00         0.52640E-02   -0.75655E-15
  5   1           0.43744E-02   -0.27155E-02         0.42149E-02   -0.26121E-02
  5  -1          -0.43744E-02   -0.27155E-02        -0.42149E-02   -0.26121E-02
  5   2           0.77404E-05    0.61510E-03         0.76072E-05    0.60126E-03
  5  -2           0.77404E-05   -0.61510E-03         0.76072E-05   -0.60126E-03
  5   3           0.17820E-01    0.11793E-01         0.17488E-01    0.11572E-01
  5  -3          -0.17820E-01    0.11793E-01        -0.17488E-01    0.11572E-01
  5   4          -0.46735E-02   -0.48302E-03        -0.45591E-02   -0.47202E-03
  5  -4          -0.46735E-02    0.48302E-03        -0.45591E-02    0.47202E-03
  5   5          -0.37256E-02    0.26169E-02        -0.37317E-02    0.26183E-02
  5  -5           0.37256E-02    0.26169E-02         0.37317E-02    0.26183E-02
  5   1           0.43744E-02   -0.27155E-02         0.42149E-02   -0.26121E-02
  5  -1          -0.43744E-02   -0.27155E-02        -0.42149E-02   -0.26121E-02
  5   2           0.77404E-05    0.61510E-03         0.76072E-05    0.60126E-03
  5  -2           0.77404E-05   -0.61510E-03         0.76072E-05   -0.60126E-03
  5   3           0.17820E-01    0.11793E-01         0.17488E-01    0.11572E-01
  5  -3          -0.17820E-01    0.11793E-01        -0.17488E-01    0.11572E-01
  5   4          -0.46735E-02   -0.48302E-03        -0.45591E-02   -0.47202E-03
  5  -4          -0.46735E-02    0.48302E-03        -0.45591E-02    0.47202E-03
  5   5          -0.37256E-02    0.26169E-02        -0.37317E-02    0.26183E-02
  5  -5           0.37256E-02    0.26169E-02         0.37317E-02    0.26183E-02
  6   0           0.10281E+00    0.00000E+00         0.10175E+00    0.12196E-14
  6   1          -0.64039E-02    0.97174E-02        -0.63488E-02    0.96355E-02
  6  -1           0.64039E-02    0.97174E-02         0.63488E-02    0.96355E-02
  6   2           0.11842E-03   -0.60791E-02         0.11734E-03   -0.60171E-02
  6  -2           0.11842E-03    0.60791E-02         0.11734E-03    0.60171E-02
  6   3          -0.42897E-02   -0.62277E-02        -0.42488E-02   -0.61690E-02
  6  -3           0.42897E-02   -0.62277E-02         0.42488E-02   -0.61690E-02
  6   4          -0.19311E+00   -0.54792E-05        -0.19113E+00   -0.55819E-05
  6  -4          -0.19311E+00    0.54792E-05        -0.19113E+00    0.55819E-05
  6   5          -0.97093E-02    0.14433E-01        -0.96202E-02    0.14304E-01
  6  -5           0.97093E-02    0.14433E-01         0.96202E-02    0.14304E-01
  6   6           0.17606E-03   -0.20776E-02         0.17447E-03   -0.20575E-02
  6  -6           0.17606E-03    0.20776E-02         0.17447E-03    0.20575E-02
  6   1          -0.64039E-02    0.97174E-02        -0.63488E-02    0.96355E-02
  6  -1           0.64039E-02    0.97174E-02         0.63488E-02    0.96355E-02
  6   2           0.11842E-03   -0.60791E-02         0.11734E-03   -0.60171E-02
  6  -2           0.11842E-03    0.60791E-02         0.11734E-03    0.60171E-02
  6   3          -0.42897E-02   -0.62277E-02        -0.42488E-02   -0.61690E-02
  6  -3           0.42897E-02   -0.62277E-02         0.42488E-02   -0.61690E-02
  6   4          -0.19311E+00   -0.54792E-05        -0.19113E+00   -0.55819E-05
  6  -4          -0.19311E+00    0.54792E-05        -0.19113E+00    0.55819E-05
  6   5          -0.97093E-02    0.14433E-01        -0.96202E-02    0.14304E-01
  6  -5           0.97093E-02    0.14433E-01         0.96202E-02    0.14304E-01
  6   6           0.17606E-03   -0.20776E-02         0.17447E-03   -0.20575E-02
  6  -6           0.17606E-03    0.20776E-02         0.17447E-03    0.20575E-02
  7   0           0.24636E-02    0.00000E+00         0.24471E-02    0.47783E-14
  7   1           0.51584E-02   -0.35463E-02         0.51444E-02   -0.35370E-02
  7  -1          -0.51584E-02   -0.35463E-02        -0.51444E-02   -0.35370E-02
  7   2           0.24198E-05   -0.12873E+00         0.24105E-05   -0.12878E+00
  7  -2           0.24198E-05    0.12873E+00         0.24105E-05    0.12878E+00
  7   3          -0.12548E-02   -0.85873E-03        -0.12390E-02   -0.84835E-03
  7  -3           0.12548E-02   -0.85873E-03         0.12390E-02   -0.84835E-03
  7   4           0.24426E-02   -0.36118E-03         0.24431E-02   -0.36207E-03
  7  -4           0.24426E-02    0.36118E-03         0.24431E-02    0.36207E-03
  7   5          -0.27215E-02    0.18617E-02        -0.27404E-02    0.18744E-02
  7  -5           0.27215E-02    0.18617E-02         0.27404E-02    0.18744E-02
  7   6           0.43108E-05   -0.11780E+00         0.42436E-05   -0.11784E+00
  7  -6           0.43108E-05    0.11780E+00         0.42436E-05    0.11784E+00
  7   7          -0.47002E-02   -0.32247E-02        -0.46773E-02   -0.32095E-02
  7  -7           0.47002E-02   -0.32247E-02         0.46773E-02   -0.32095E-02
  7   1           0.51584E-02   -0.35463E-02         0.51444E-02   -0.35370E-02
  7  -1          -0.51584E-02   -0.35463E-02        -0.51444E-02   -0.35370E-02
  7   2           0.24198E-05   -0.12873E+00         0.24105E-05   -0.12878E+00
  7  -2           0.24198E-05    0.12873E+00         0.24105E-05    0.12878E+00
  7   3          -0.12548E-02   -0.85873E-03        -0.12390E-02   -0.84835E-03
  7  -3           0.12548E-02   -0.85873E-03         0.12390E-02   -0.84835E-03
  7   4           0.24426E-02   -0.36118E-03         0.24431E-02   -0.36207E-03
  7  -4           0.24426E-02    0.36118E-03         0.24431E-02    0.36207E-03
  7   5          -0.27215E-02    0.18617E-02        -0.27404E-02    0.18744E-02
  7  -5           0.27215E-02    0.18617E-02         0.27404E-02    0.18744E-02
  7   6           0.43108E-05   -0.11780E+00         0.42436E-05   -0.11784E+00
  7  -6           0.43108E-05    0.11780E+00         0.42436E-05    0.11784E+00
  7   7          -0.47002E-02   -0.32247E-02        -0.46773E-02   -0.32095E-02
  7  -7           0.47002E-02   -0.32247E-02         0.46773E-02   -0.32095E-02
  8   0           0.52642E-01    0.00000E+00         0.56887E-01   -0.10969E-14
  8   1           0.59092E-03   -0.93582E-03         0.52886E-03   -0.83506E-03
  8  -1          -0.59092E-03   -0.93582E-03        -0.52886E-03   -0.83506E-03
  8   2           0.10441E-03    0.31323E-02         0.11464E-03    0.34713E-02
  8  -2           0.10441E-03   -0.31323E-02         0.11464E-03   -0.34713E-02
  8   3          -0.88121E-03   -0.12354E-02        -0.11223E-02   -0.16026E-02
  8  -3           0.88121E-03   -0.12354E-02         0.11223E-02   -0.16026E-02
  8   4           0.19352E-01    0.86412E-05         0.20944E-01    0.86869E-05
  8  -4           0.19352E-01   -0.86412E-05         0.20944E-01   -0.86869E-05
  8   5          -0.56801E-02    0.85186E-02        -0.61404E-02    0.92034E-02
  8  -5           0.56801E-02    0.85186E-02         0.61404E-02    0.92034E-02
  8   6           0.32655E-03   -0.14342E-02         0.33088E-03   -0.14899E-02
  8  -6           0.32655E-03    0.14342E-02         0.33088E-03    0.14899E-02
  8   7          -0.33965E-02   -0.50344E-02        -0.38739E-02   -0.57563E-02
  8  -7           0.33965E-02   -0.50344E-02         0.38739E-02   -0.57563E-02
  8   8           0.29792E-01   -0.13932E-05         0.32206E-01   -0.21262E-05
  8  -8           0.29792E-01    0.13932E-05         0.32206E-01    0.21262E-05
  8   1           0.59092E-03   -0.93582E-03         0.52886E-03   -0.83506E-03
  8  -1          -0.59092E-03   -0.93582E-03        -0.52886E-03   -0.83506E-03
  8   2           0.10441E-03    0.31323E-02         0.11464E-03    0.34713E-02
  8  -2           0.10441E-03   -0.31323E-02         0.11464E-03   -0.34713E-02
  8   3          -0.88121E-03   -0.12354E-02        -0.11223E-02   -0.16026E-02
  8  -3           0.88121E-03   -0.12354E-02         0.11223E-02   -0.16026E-02
  8   4           0.19352E-01    0.86412E-05         0.20944E-01    0.86869E-05
  8  -4           0.19352E-01   -0.86412E-05         0.20944E-01   -0.86869E-05
  8   5          -0.56801E-02    0.85186E-02        -0.61404E-02    0.92034E-02
  8  -5           0.56801E-02    0.85186E-02         0.61404E-02    0.92034E-02
  8   6           0.32655E-03   -0.14342E-02         0.33088E-03   -0.14899E-02
  8  -6           0.32655E-03    0.14342E-02         0.33088E-03    0.14899E-02
  8   7          -0.33965E-02   -0.50344E-02        -0.38739E-02   -0.57563E-02
  8  -7           0.33965E-02   -0.50344E-02         0.38739E-02   -0.57563E-02
  8   8           0.29792E-01   -0.13932E-05         0.32206E-01   -0.21262E-05
  8  -8           0.29792E-01    0.13932E-05         0.32206E-01    0.21262E-05

          multipole moments for atom type=    2

  l   m                   original                      plane wave
  0   0          -0.52203E+00    0.00000E+00         0.77848E+00   -0.88972E-15
  1   0          -0.16734E-02    0.00000E+00        -0.14127E-02    0.27245E-15
  1   1           0.49363E-02   -0.31538E-02         0.40563E-02   -0.25988E-02
  1  -1          -0.49363E-02   -0.31538E-02        -0.40563E-02   -0.25988E-02
  1   1           0.49363E-02   -0.31538E-02         0.40563E-02   -0.25988E-02
  1  -1          -0.49363E-02   -0.31538E-02        -0.40563E-02   -0.25988E-02
  2   0           0.52203E-03    0.00000E+00         0.49874E-03    0.19841E-16
  2   1           0.12346E-01   -0.18690E-01         0.11743E-01   -0.17751E-01
  2  -1          -0.12346E-01   -0.18690E-01        -0.11743E-01   -0.17751E-01
  2   2          -0.29035E-03    0.58685E-02        -0.27749E-03    0.56344E-02
  2  -2          -0.29035E-03   -0.58685E-02        -0.27749E-03   -0.56344E-02
  2   1           0.12346E-01   -0.18690E-01         0.11743E-01   -0.17751E-01
  2  -1          -0.12346E-01   -0.18690E-01        -0.11743E-01   -0.17751E-01
  2   2          -0.29035E-03    0.58685E-02        -0.27749E-03    0.56344E-02
  2  -2          -0.29035E-03   -0.58685E-02        -0.27749E-03   -0.56344E-02
  3   0           0.84952E-02    0.00000E+00         0.82483E-02   -0.38030E-15
  3   1           0.10736E-01   -0.72030E-02         0.10357E-01   -0.69546E-02
  3  -1          -0.10736E-01   -0.72030E-02        -0.10357E-01   -0.69546E-02
  3   2           0.55912E-05   -0.46967E+00         0.47831E-05   -0.46256E+00
  3  -2           0.55912E-05    0.46967E+00         0.47831E-05    0.46256E+00
  3   3          -0.13842E-01   -0.92682E-02        -0.13355E-01   -0.89520E-02
  3  -3           0.13842E-01   -0.92682E-02         0.13355E-01   -0.89520E-02
  3   1           0.10736E-01   -0.72030E-02         0.10357E-01   -0.69546E-02
  3  -1          -0.10736E-01   -0.72030E-02        -0.10357E-01   -0.69546E-02
  3   2           0.55912E-05   -0.46967E+00         0.47831E-05   -0.46256E+00
  3  -2           0.55912E-05    0.46967E+00         0.47831E-05    0.46256E+00
  3   3          -0.13842E-01   -0.92682E-02        -0.13355E-01   -0.89520E-02
  3  -3           0.13842E-01   -0.92682E-02         0.13355E-01   -0.89520E-02
  4   0          -0.27309E+00    0.00000E+00        -0.26912E+00    0.24821E-14
  4   1           0.34671E-03   -0.37970E-03         0.41296E-03   -0.48733E-03
  4  -1          -0.34671E-03   -0.37970E-03        -0.41296E-03   -0.48733E-03
  4   2          -0.31491E-03   -0.10925E-02        -0.30580E-03   -0.11522E-02
  4  -2          -0.31491E-03    0.10925E-02        -0.30580E-03    0.11522E-02
  4   3           0.83823E-03    0.96040E-03         0.10181E-02    0.12477E-02
  4  -3          -0.83823E-03    0.96040E-03        -0.10181E-02    0.12477E-02
  4   4          -0.16268E+00   -0.85624E-05        -0.16032E+00   -0.80560E-05
  4  -4          -0.16268E+00    0.85624E-05        -0.16032E+00    0.80560E-05
  4   1           0.34671E-03   -0.37970E-03         0.41296E-03   -0.48733E-03
  4  -1          -0.34671E-03   -0.37970E-03        -0.41296E-03   -0.48733E-03
  4   2          -0.31491E-03   -0.10925E-02        -0.30580E-03   -0.11522E-02
  4  -2          -0.31491E-03    0.10925E-02        -0.30580E-03    0.11522E-02
  4   3           0.83823E-03    0.96040E-03         0.10181E-02    0.12477E-02
  4  -3          -0.83823E-03    0.96040E-03        -0.10181E-02    0.12477E-02
  4   4          -0.16268E+00   -0.85624E-05        -0.16032E+00   -0.80560E-05
  4  -4          -0.16268E+00    0.85624E-05        -0.16032E+00    0.80560E-05
  5   0          -0.53229E-02    0.00000E+00        -0.52640E-02   -0.23302E-14
  5   1          -0.43744E-02    0.27155E-02        -0.42149E-02    0.26121E-02
  5  -1           0.43744E-02    0.27155E-02         0.42149E-02    0.26121E-02
  5   2          -0.77890E-05   -0.61501E-03        -0.76563E-05   -0.60117E-03
  5  -2          -0.77890E-05    0.61501E-03        -0.76563E-05    0.60117E-03
  5   3          -0.17820E-01   -0.11793E-01        -0.17488E-01   -0.11572E-01
  5  -3           0.17820E-01   -0.11793E-01         0.17488E-01   -0.11572E-01
  5   4           0.46737E-02    0.48354E-03         0.45594E-02    0.47257E-03
  5  -4           0.46737E-02   -0.48354E-03         0.45594E-02   -0.47257E-03
  5   5           0.37237E-02   -0.26169E-02         0.37297E-02   -0.26183E-02
  5  -5          -0.37237E-02   -0.26169E-02        -0.37297E-02   -0.26183E-02
  5   1          -0.43744E-02    0.27155E-02        -0.42149E-02    0.26121E-02
  5  -1           0.43744E-02    0.27155E-02         0.42149E-02    0.26121E-02
  5   2          -0.77890E-05   -0.61501E-03        -0.76563E-05   -0.60117E-03
  5  -2          -0.77890E-05    0.61501E-03        -0.76563E-05    0.60117E-03
  5   3          -0.17820E-01   -0.11793E-01        -0.17488E-01   -0.11572E-01
  5  -3           0.17820E-01   -0.11793E-01         0.17488E-01   -0.11572E-01
  5   4           0.46737E-02    0.48354E-03         0.45594E-02    0.47257E-03
  5  -4           0.46737E-02   -0.48354E-03         0.45594E-02   -0.47257E-03
  5   5           0.37237E-02   -0.26169E-02         0.37297E-02   -0.26183E-02
  5  -5          -0.37237E-02   -0.26169E-02        -0.37297E-02   -0.26183E-02
  6   0           0.10281E+00    0.00000E+00         0.10175E+00    0.23281E-14
  6   1          -0.64039E-02    0.97176E-02        -0.63488E-02    0.96356E-02
  6  -1           0.64039E-02    0.97176E-02         0.63488E-02    0.96356E-02
  6   2           0.11860E-03   -0.60791E-02         0.11752E-03   -0.60171E-02
  6  -2           0.11860E-03    0.60791E-02         0.11752E-03    0.60171E-02
  6   3          -0.42897E-02   -0.62284E-02        -0.42489E-02   -0.61697E-02
  6  -3           0.42897E-02   -0.62284E-02         0.42489E-02   -0.61697E-02
  6   4          -0.19311E+00   -0.55884E-05        -0.19113E+00   -0.56943E-05
  6  -4          -0.19311E+00    0.55884E-05        -0.19113E+00    0.56943E-05
  6   5          -0.97095E-02    0.14433E-01        -0.96204E-02    0.14304E-01
  6  -5           0.97095E-02    0.14433E-01         0.96204E-02    0.14304E-01
  6   6           0.17553E-03   -0.20772E-02         0.17391E-03   -0.20571E-02
  6  -6           0.17553E-03    0.20772E-02         0.17391E-03    0.20571E-02
  6   1          -0.64039E-02    0.97176E-02        -0.63488E-02    0.96356E-02
  6  -1           0.64039E-02    0.97176E-02         0.63488E-02    0.96356E-02
  6   2           0.11860E-03   -0.60791E-02         0.11752E-03   -0.60171E-02
  6  -2           0.11860E-03    0.60791E-02         0.11752E-03    0.60171E-02
  6   3          -0.42897E-02   -0.62284E-02        -0.42489E-02   -0.61697E-02
  6  -3           0.42897E-02   -0.62284E-02         0.42489E-02   -0.61697E-02
  6   4          -0.19311E+00   -0.55884E-05        -0.19113E+00   -0.56943E-05
  6  -4          -0.19311E+00    0.55884E-05        -0.19113E+00    0.56943E-05
  6   5          -0.97095E-02    0.14433E-01        -0.96204E-02    0.14304E-01
  6  -5           0.97095E-02    0.14433E-01         0.96204E-02    0.14304E-01
  6   6           0.17553E-03   -0.20772E-02         0.17391E-03   -0.20571E-02
  6  -6           0.17553E-03    0.20772E-02         0.17391E-03    0.20571E-02
  7   0          -0.24634E-02    0.00000E+00        -0.24470E-02   -0.30645E-15
  7   1          -0.51588E-02    0.35463E-02        -0.51448E-02    0.35370E-02
  7  -1           0.51588E-02    0.35463E-02         0.51448E-02    0.35370E-02
  7   2          -0.24077E-05    0.12873E+00        -0.23974E-05    0.12878E+00
  7  -2          -0.24077E-05   -0.12873E+00        -0.23974E-05   -0.12878E+00
  7   3           0.12555E-02    0.85877E-03         0.12398E-02    0.84840E-03
  7  -3          -0.12555E-02    0.85877E-03        -0.12398E-02    0.84840E-03
  7   4          -0.24427E-02    0.36109E-03        -0.24432E-02    0.36198E-03
  7  -4          -0.24427E-02   -0.36109E-03        -0.24432E-02   -0.36198E-03
  7   5           0.27233E-02   -0.18617E-02         0.27423E-02   -0.18744E-02
  7  -5          -0.27233E-02   -0.18617E-02        -0.27423E-02   -0.18744E-02
  7   6          -0.43803E-05    0.11780E+00        -0.43125E-05    0.11784E+00
  7  -6          -0.43803E-05   -0.11780E+00        -0.43125E-05   -0.11784E+00
  7   7           0.47002E-02    0.32245E-02         0.46773E-02    0.32093E-02
  7  -7          -0.47002E-02    0.32245E-02        -0.46773E-02    0.32093E-02
  7   1          -0.51588E-02    0.35463E-02        -0.51448E-02    0.35370E-02
  7  -1           0.51588E-02    0.35463E-02         0.51448E-02    0.35370E-02
  7   2          -0.24077E-05    0.12873E+00        -0.23974E-05    0.12878E+00
  7  -2          -0.24077E-05   -0.12873E+00        -0.23974E-05   -0.12878E+00
  7   3           0.12555E-02    0.85877E-03         0.12398E-02    0.84840E-03
  7  -3          -0.12555E-02    0.85877E-03        -0.12398E-02    0.84840E-03
  7   4          -0.24427E-02    0.36109E-03        -0.24432E-02    0.36198E-03
  7  -4          -0.24427E-02   -0.36109E-03        -0.24432E-02   -0.36198E-03
  7   5           0.27233E-02   -0.18617E-02         0.27423E-02   -0.18744E-02
  7  -5          -0.27233E-02   -0.18617E-02        -0.27423E-02   -0.18744E-02
  7   6          -0.43803E-05    0.11780E+00        -0.43125E-05    0.11784E+00
  7  -6          -0.43803E-05   -0.11780E+00        -0.43125E-05   -0.11784E+00
  7   7           0.47002E-02    0.32245E-02         0.46773E-02    0.32093E-02
  7  -7          -0.47002E-02    0.32245E-02        -0.46773E-02    0.32093E-02
  8   0           0.52642E-01    0.00000E+00         0.56887E-01   -0.10004E-13
  8   1           0.59090E-03   -0.93639E-03         0.52884E-03   -0.83565E-03
  8  -1          -0.59090E-03   -0.93639E-03        -0.52884E-03   -0.83565E-03
  8   2           0.10447E-03    0.31325E-02         0.11473E-03    0.34716E-02
  8  -2           0.10447E-03   -0.31325E-02         0.11473E-03   -0.34716E-02
  8   3          -0.88123E-03   -0.12358E-02        -0.11223E-02   -0.16031E-02
  8  -3           0.88123E-03   -0.12358E-02         0.11223E-02   -0.16031E-02
  8   4           0.19352E-01    0.87882E-05         0.20944E-01    0.88495E-05
  8  -4           0.19352E-01   -0.87882E-05         0.20944E-01   -0.88495E-05
  8   5          -0.56801E-02    0.85179E-02        -0.61404E-02    0.92027E-02
  8  -5           0.56801E-02    0.85179E-02         0.61404E-02    0.92027E-02
  8   6           0.32691E-03   -0.14344E-02         0.33123E-03   -0.14900E-02
  8  -6           0.32691E-03    0.14344E-02         0.33123E-03    0.14900E-02
  8   7          -0.33965E-02   -0.50330E-02        -0.38739E-02   -0.57548E-02
  8  -7           0.33965E-02   -0.50330E-02         0.38739E-02   -0.57548E-02
  8   8           0.29792E-01   -0.14592E-05         0.32206E-01   -0.21945E-05
  8  -8           0.29792E-01    0.14592E-05         0.32206E-01    0.21945E-05
  8   1           0.59090E-03   -0.93639E-03         0.52884E-03   -0.83565E-03
  8  -1          -0.59090E-03   -0.93639E-03        -0.52884E-03   -0.83565E-03
  8   2           0.10447E-03    0.31325E-02         0.11473E-03    0.34716E-02
  8  -2           0.10447E-03   -0.31325E-02         0.11473E-03   -0.34716E-02
  8   3          -0.88123E-03   -0.12358E-02        -0.11223E-02   -0.16031E-02
  8  -3           0.88123E-03   -0.12358E-02         0.11223E-02   -0.16031E-02
  8   4           0.19352E-01    0.87882E-05         0.20944E-01    0.88495E-05
  8  -4           0.19352E-01   -0.87882E-05         0.20944E-01   -0.88495E-05
  8   5          -0.56801E-02    0.85179E-02        -0.61404E-02    0.92027E-02
  8  -5           0.56801E-02    0.85179E-02         0.61404E-02    0.92027E-02
  8   6           0.32691E-03   -0.14344E-02         0.33123E-03   -0.14900E-02
  8  -6           0.32691E-03    0.14344E-02         0.33123E-03    0.14900E-02
  8   7          -0.33965E-02   -0.50330E-02        -0.38739E-02   -0.57548E-02
  8  -7           0.33965E-02   -0.50330E-02         0.38739E-02   -0.57548E-02
  8   8           0.29792E-01   -0.14592E-05         0.32206E-01   -0.21945E-05
  8  -8           0.29792E-01    0.14592E-05         0.32206E-01    0.21945E-05

          integral of pseudo charge density inside the slab=        0.000000   0.000000

     coulomb potential in the interstitial region:

          density-coulomb potential integrals


          interstitial :                       0.7807212003

          muffin tin spheres :              -845.1833323211

          total density-coulomb potenti     -844.4026111208
 wrtdop title:alpha Si                                                                ordered*

     interstitial potential average (vbar) = -0.027906

 999idsprs in starting of nmtxad= 0

          density-effective potential integrals for spin  1


          interstitial :                      -0.4749448091

          muffin tin spheres :              -897.8378403090

          total density-effective poten     -898.3127851181

          charge density-energy density integrals


          interstitial :                      -0.9795633918

          muffin tin spheres :               -40.7649506364

          total charge density-energy d      -41.7445140282
 vgen: pottot deleted
 wrtdop title:alpha Si                                                                ordered*
 IT=  14  ISEC1=  99 standard diagonalization
  Atom  1 3s branch from -4.72 to  1.07 htr. ; e_l = -0.1341
  Atom  1 3p branch from -3.11 to  1.55 htr. ; e_l =  0.0500
  Atom  1 3d branch from -9.99 to  1.95 htr. ; e_l =  0.2439
  Atom  1 4f branch from -9.99 to  4.11 htr. ; e_l =  0.4116
  Atom  2 3s branch from -4.72 to  1.07 htr. ; e_l = -0.1341
  Atom  2 3p branch from -3.11 to  1.55 htr. ; e_l =  0.0500
  Atom  2 3d branch from -9.99 to  1.95 htr. ; e_l =  0.2439
  Atom  2 4f branch from -9.99 to  4.11 htr. ; e_l =  0.4116


 wavefunction parameters for atom type  1:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.13409        4.7800588E-01  -2.4465367E-01    2       -3.1232930E-01  -7.4530269E-01    2   1.0766710E-01   4.3267158E-01
  1   0.04999       -5.5348712E-01   9.9418249E-02    1        2.6599578E-01   7.3396795E-01    2   7.9521945E-02   4.3268664E-01
  2   0.24387        6.4439219E-01   1.6344255E-01    0       -2.3289853E-01  -7.3053287E-01    1   6.5178940E-02   4.3268414E-01
  3   0.41164        8.3800006E-01   7.5544845E-01    0       -1.2158489E-01  -6.2593055E-01    1   1.3122242E-02   4.3267873E-01
  4   0.41164        9.7736354E-01   1.4626809E+00    0       -8.2132586E-02  -5.6560526E-01    1   4.9166924E-03   4.3266820E-01
  5   0.41164        1.0889890E+00   2.2153832E+00    0       -6.1660944E-02  -5.2273998E-01    1   2.3795468E-03   4.3265549E-01
  6   0.41164        1.1859741E+00   3.0206232E+00    0       -4.8925250E-02  -4.8940792E-01    1   1.3189789E-03   4.3264038E-01
  7   0.41164        1.2734321E+00   3.8786657E+00    0       -4.0219931E-02  -4.6223314E-01    1   7.9808738E-04   4.3262283E-01
  8   0.41164        1.3539864E+00   4.7881050E+00    0       -3.3904804E-02  -4.3940067E-01    1   5.1413446E-04   4.3260278E-01


 wavefunction parameters for atom type  2:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.13409        4.7800587E-01  -2.4465368E-01    2       -3.1232930E-01  -7.4530269E-01    2   1.0766710E-01   4.3267158E-01
  1   0.04999       -5.5348711E-01   9.9418259E-02    1        2.6599578E-01   7.3396795E-01    2   7.9521946E-02   4.3268664E-01
  2   0.24387        6.4439218E-01   1.6344254E-01    0       -2.3289854E-01  -7.3053287E-01    1   6.5178941E-02   4.3268414E-01
  3   0.41164        8.3800006E-01   7.5544844E-01    0       -1.2158489E-01  -6.2593055E-01    1   1.3122243E-02   4.3267873E-01
  4   0.41164        9.7736354E-01   1.4626809E+00    0       -8.2132587E-02  -5.6560527E-01    1   4.9166924E-03   4.3266820E-01
  5   0.41164        1.0889890E+00   2.2153832E+00    0       -6.1660944E-02  -5.2273998E-01    1   2.3795468E-03   4.3265549E-01
  6   0.41164        1.1859741E+00   3.0206232E+00    0       -4.8925250E-02  -4.8940792E-01    1   1.3189789E-03   4.3264038E-01
  7   0.41164        1.2734321E+00   3.8786657E+00    0       -4.0219931E-02  -4.6223314E-01    1   7.9808738E-04   4.3262283E-01
  8   0.41164        1.3539864E+00   4.7881049E+00    0       -3.3904804E-02  -4.3940067E-01    1   5.1413446E-04   4.3260278E-01


 k=(    0.444444    0.444444    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.153280   -0.031293    0.159306    0.163882    0.258587
         0.324573    0.329870    0.487745


 k=(    0.333333    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155807   -0.016636    0.134401    0.147133    0.282764
         0.327031    0.355424    0.456842


 k=(    0.222222    0.444444    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149604   -0.001541    0.095572    0.126844    0.263607
         0.363102    0.395648    0.410692


 k=(    0.111111    0.444444    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133882   -0.013596    0.094256    0.110453    0.240047
         0.284585    0.479228    0.481202


 k=(    0.000000    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.109044   -0.046474    0.102274    0.107596    0.228001
         0.244450    0.544473    0.545265


 k=(   -0.111111    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.085594   -0.069896    0.085730    0.103582    0.233510
         0.270559    0.542643    0.551618


 k=(    0.222222    0.555556    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107770   -0.042866    0.061525    0.114177    0.246329
         0.342994    0.468496    0.471697


 k=(    0.333333    0.555556    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128235   -0.032822    0.076669    0.132190    0.268738
         0.386840    0.397743    0.434831


 k=(    0.555556    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143573   -0.035778    0.125162    0.151858    0.282834
         0.327785    0.346526    0.501226


 k=(    0.444444    0.333333    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155848   -0.016444    0.132471    0.148931    0.283239
         0.328016    0.353719    0.455743


 k=(    0.333333    0.333333    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165140   -0.000120    0.121288    0.166961    0.290187
         0.336918    0.339240    0.476509


 k=(    0.222222    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164629    0.017667    0.096393    0.146835    0.304000
         0.336244    0.384323    0.403148


 k=(    0.111111    0.333333    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153777    0.012629    0.094953    0.119002    0.273270
         0.310800    0.402721    0.466475


 k=(    0.000000    0.333333    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132897   -0.016358    0.090604    0.115990    0.245257
         0.279235    0.479960    0.483708


 k=(   -0.111111    0.333333    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104154   -0.048509    0.083709    0.094294    0.265639
         0.279963    0.470633    0.535967


 k=(   -0.222222    0.333333    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.090022   -0.059316    0.061330    0.092609    0.277041
         0.343700    0.449012    0.458083


 k=(    0.666667    0.333333    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114369   -0.035890    0.057317    0.109589    0.294950
         0.369553    0.431858    0.447727


 k=(    0.555556    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138135   -0.025713    0.090673    0.132751    0.308919
         0.319094    0.402803    0.446686


 k=(    0.444444    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149664   -0.001050    0.093756    0.128137    0.264890
         0.361787    0.395654    0.409422


 k=(    0.333333    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164637    0.017879    0.095589    0.147519    0.304347
         0.337081    0.383680    0.401195


 k=(    0.222222    0.222222    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169430    0.026843    0.085213    0.166317    0.303689
         0.364729    0.374785    0.419056


 k=(    0.111111    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163615    0.011823    0.100896    0.146666    0.310878
         0.335967    0.378024    0.407317


 k=(    0.000000    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147500   -0.009116    0.094899    0.132985    0.270626
         0.356049    0.397572    0.412258


 k=(   -0.111111    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122437   -0.030788    0.069179    0.113230    0.291024
         0.346659    0.390282    0.479096


 k=(   -0.222222    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.093423   -0.055017    0.059246    0.085568    0.343711
         0.355316    0.374634    0.436209


 k=(    0.666667    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.097547   -0.048784    0.061523    0.080911    0.346072
         0.350041    0.373358    0.440554


 k=(    0.555556    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125938   -0.022156    0.070718    0.105886    0.286354
         0.351668    0.385263    0.480628


 k=(    0.444444    0.111111    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133913   -0.013404    0.092962    0.111508    0.241158
         0.283572    0.478323    0.480871


 k=(    0.333333    0.111111    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153753    0.012445    0.095195    0.118980    0.273444
         0.310524    0.402767    0.466291


 k=(    0.222222    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163587    0.011512    0.101809    0.146042    0.310476
         0.335206    0.378640    0.409064


 k=(    0.111111    0.111111    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163011   -0.008656    0.128772    0.164607    0.292702
         0.338562    0.348910    0.472761


 k=(    0.000000    0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152470   -0.026481    0.133392    0.154507    0.287827
         0.333143    0.355790    0.449996


 k=(   -0.111111    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133329   -0.037373    0.089779    0.141346    0.310583
         0.328710    0.400404    0.440718


 k=(   -0.222222    0.111111    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108135   -0.047597    0.056391    0.116496    0.300711
         0.373507    0.424562    0.444467


 k=(    0.666667    0.111111    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.083651   -0.066855    0.057418    0.097685    0.282996
         0.337841    0.447238    0.458981


 k=(    0.555556    0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105951   -0.045297    0.084656    0.091510    0.267532
         0.278610    0.465143    0.535450


 k=(    0.444444    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.108899   -0.046773    0.103235    0.106873    0.228438
         0.243916    0.544599    0.545104


 k=(    0.333333    0.000000    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132760   -0.016957    0.092067    0.115205    0.244238
         0.279979    0.479889    0.485021


 k=(    0.222222    0.000000    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147393   -0.009745    0.096561    0.132041    0.269259
         0.357131    0.397360    0.413956


 k=(    0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152410   -0.026706    0.134674    0.153442    0.287354
         0.331573    0.358003    0.451120


 k=(    0.000000    0.000000    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.148642   -0.042575    0.160062    0.169132    0.262150
         0.326410    0.337164    0.491927


 k=(   -0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137974   -0.048174    0.125660    0.158291    0.287067
         0.332373    0.348737    0.505690


 k=(    0.222222    0.000000    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122505   -0.045135    0.077910    0.137676    0.274764
         0.388984    0.399608    0.428465


 k=(    0.333333    0.000000    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.102677   -0.051272    0.059867    0.119117    0.252256
         0.337270    0.468608    0.474212


 k=(    0.555556    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.078474   -0.077363    0.081258    0.108248    0.239502
         0.264779    0.538562    0.551413


 k=(    0.444444   -0.111111    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.084109   -0.071571    0.084954    0.104556    0.234726
         0.269327    0.541743    0.551730


 k=(    0.333333   -0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103600   -0.049506    0.084206    0.094377    0.265845
         0.279578    0.471764    0.536105


 k=(    0.222222   -0.111111    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122129   -0.031676    0.069958    0.113224    0.289558
         0.347963    0.391349    0.479274


 k=(    0.111111   -0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133163   -0.037753    0.089737    0.141735    0.309839
         0.329372    0.400208    0.441880


 k=(    0.000000   -0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137915   -0.048240    0.124477    0.159654    0.287522
         0.333934    0.346263    0.505543


 k=(    0.111111    0.111111    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.138153   -0.047979    0.130465    0.152824    0.285868
         0.330286    0.353447    0.506323


 k=(    0.222222    0.111111    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133849   -0.036787    0.095366    0.134739    0.313951
         0.321067    0.407414    0.441289


 k=(    0.333333    0.111111    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123242   -0.029372    0.072701    0.108563    0.290730
         0.347842    0.386361    0.483788


 k=(    0.444444    0.111111    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105166   -0.046751    0.084807    0.092220    0.266954
         0.278934    0.467494    0.535857


 k=(    0.555556    0.222222    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107504   -0.043139    0.060397    0.115273    0.247610
         0.341744    0.466893    0.471877


 k=(    0.333333   -0.222222    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.088828   -0.060830    0.060608    0.093662    0.278259
         0.342444    0.448234    0.458743


 k=(    0.222222   -0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.092355   -0.056556    0.059054    0.086289    0.344310
         0.355083    0.375080    0.435353


 k=(    0.111111   -0.222222    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.107761   -0.048133    0.055891    0.117151    0.302189
         0.371762    0.424121    0.444565


 k=(    0.000000    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122418   -0.045102    0.076694    0.138745    0.276222
         0.388455    0.397627    0.428199


 k=(    0.111111    0.222222    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133844   -0.036652    0.093967    0.136106    0.313706
         0.322507    0.405715    0.440282


 k=(    0.222222    0.222222    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139156   -0.021638    0.074186    0.147350    0.284874
         0.388294    0.391059    0.464109


 k=(    0.333333    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136452   -0.012567    0.062918    0.127526    0.315591
         0.353309    0.384294    0.457796


 k=(    0.444444    0.222222    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125404   -0.023438    0.069405    0.108331    0.285807
         0.351643    0.387931    0.477879


 k=(    0.555556    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128116   -0.032855    0.075274    0.133560    0.270061
         0.385933    0.396245    0.434509


 k=(    0.333333    0.666667    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114055   -0.036412    0.056700    0.110434    0.296334
         0.367917    0.431056    0.448197


 k=(    0.222222    0.666667    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.096830   -0.049910    0.060978    0.081911    0.344986
         0.351752    0.373606    0.439645


 k=(    0.111111    0.666667    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.082090   -0.068550    0.056669    0.098526    0.284299
         0.336622    0.447320    0.458708


 k=(    0.000000    0.333333    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.102599   -0.051145    0.058677    0.119961    0.253650
         0.336088    0.467520    0.473761


 k=(    0.111111    0.333333    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123269   -0.029057    0.071175    0.109777    0.291967
         0.346539    0.386542    0.482353


 k=(    0.222222    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136471   -0.012477    0.062848    0.127497    0.315710
         0.352931    0.384607    0.458046


 k=(    0.333333    0.333333    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141151   -0.014450    0.068537    0.148211    0.285077
         0.382633    0.384140    0.470155


 k=(    0.444444    0.333333    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137818   -0.026205    0.087742    0.136429    0.306868
         0.323337    0.398963    0.446858


 k=(    0.444444    0.555556    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143519   -0.035838    0.123536    0.153718    0.283274
         0.328614    0.344756    0.501150


 k=(    0.333333    0.555556    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138010   -0.026039    0.090513    0.133232    0.307766
         0.320180    0.402669    0.447782


 k=(    0.222222    0.555556    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125739   -0.022825    0.071412    0.105803    0.284926
         0.353161    0.386201    0.480745


 k=(    0.111111    0.555556    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105703   -0.045728    0.084051    0.092346    0.266685
         0.279404    0.466263    0.535482


 k=(    0.000000    0.555556    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.079463   -0.076274    0.080299    0.108986    0.240824
         0.263607    0.537596    0.551238


 k=(    0.111111    0.444444    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105311   -0.046454    0.084192    0.092632    0.266418
         0.279550    0.467438    0.535665


 k=(    0.222222    0.444444    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125473   -0.023463    0.070731    0.107041    0.284672
         0.353135    0.387540    0.479334


 k=(    0.333333    0.444444    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137851   -0.026285    0.089041    0.135067    0.306831
         0.322233    0.400715    0.447878


 k=(    0.444444    0.444444    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143466   -0.035899    0.122144    0.155322    0.283736
         0.329990    0.342428    0.501109


 k=(    0.444444    0.444444    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155892   -0.016240    0.130911    0.150326    0.283725
         0.329357    0.351648    0.454679


 k=(    0.333333    0.444444    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165242    0.000192    0.122443    0.165163    0.289830
         0.335665    0.341500    0.475885


 k=(    0.222222    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164788    0.018348    0.097308    0.144991    0.304808
         0.334404    0.384424    0.404723


 k=(    0.111111    0.444444    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154000    0.013880    0.094611    0.118036    0.273641
         0.310805    0.401369    0.466704


 k=(    0.000000    0.444444    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133200   -0.015303    0.089611    0.116052    0.245471
         0.279251    0.479041    0.482459


 k=(   -0.111111    0.444444    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104551   -0.047804    0.083595    0.094014    0.265900
         0.279803    0.469520    0.535942


 k=(   -0.222222    0.444444    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.089973   -0.059387    0.061361    0.092607    0.277035
         0.343677    0.449398    0.457782


 k=(    0.666667    0.444444    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114248   -0.036042    0.056784    0.110244    0.294847
         0.370480    0.432309    0.446762


 k=(    0.555556    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138107   -0.025617    0.089279    0.134173    0.308806
         0.320382    0.400949    0.445762


 k=(    0.444444    0.333333    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165343    0.000488    0.123798    0.163160    0.289509
         0.335413    0.342741    0.475631


 k=(    0.333333    0.333333    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.179955    0.017494    0.165430    0.170026    0.265770
         0.329473    0.334653    0.490746


 k=(    0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184128    0.039434    0.149050    0.150888    0.287487
         0.330615    0.364860    0.405025


 k=(    0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177346    0.049581    0.122922    0.130338    0.258633
         0.324892    0.404632    0.417088


 k=(    0.000000    0.333333    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159802    0.022411    0.115980    0.121805    0.233467
         0.280593    0.469580    0.469776


 k=(   -0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133000   -0.016614    0.097150    0.110278    0.239474
         0.284374    0.480995    0.485834


 k=(   -0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.105505   -0.047359    0.064120    0.113990    0.246102
         0.342963    0.472600    0.473835


 k=(    0.666667    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.113788   -0.036122    0.048697    0.126521    0.260438
         0.422336    0.445171    0.458716


 k=(    0.555556    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141791   -0.012877    0.070034    0.145328    0.282338
         0.384274    0.386877    0.469621


 k=(    0.444444    0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164954    0.019223    0.097526    0.143721    0.306107
         0.333273    0.383823    0.404408


 k=(    0.333333    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184173    0.039813    0.147100    0.152355    0.287879
         0.331819    0.363324    0.403749


 k=(    0.222222    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192884    0.061210    0.130109    0.182530    0.301669
         0.331814    0.343424    0.428950


 k=(    0.111111    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190425    0.068445    0.120694    0.162155    0.293323
         0.343531    0.367199    0.388893


 k=(    0.000000    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176847    0.045023    0.121117    0.136666    0.261649
         0.321076    0.406677    0.419208


 k=(   -0.111111    0.222222    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153114    0.009247    0.094915    0.122634    0.272164
         0.310652    0.406595    0.466407


 k=(   -0.222222    0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123458   -0.029092    0.073796    0.107952    0.284146
         0.353731    0.389930    0.482812


 k=(    0.666667    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.112090   -0.040960    0.059641    0.110144    0.294606
         0.374914    0.427905    0.446673


 k=(    0.555556    0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137459   -0.009255    0.062825    0.124924    0.312878
         0.354257    0.384567    0.458718


 k=(    0.444444    0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154198    0.014942    0.094667    0.116882    0.274210
         0.310538    0.400055    0.466812


 k=(    0.333333    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177389    0.050157    0.120952    0.131627    0.259417
         0.324342    0.404276    0.416168


 k=(    0.222222    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190419    0.068308    0.120821    0.162226    0.293366
         0.343601    0.366988    0.388700


 k=(    0.111111    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192328    0.054805    0.136638    0.180968    0.304775
         0.338634    0.343311    0.424773


 k=(    0.000000    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183023    0.031759    0.148599    0.157987    0.292631
         0.335466    0.365892    0.398123


 k=(   -0.111111    0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163130    0.010042    0.097844    0.152275    0.307976
         0.341568    0.378026    0.402932


 k=(   -0.222222    0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134954   -0.016978    0.062470    0.131468    0.319248
         0.351893    0.384171    0.457563


 k=(   -0.333333    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110399   -0.043525    0.056505    0.114243    0.301356
         0.366967    0.425534    0.447141


 k=(    0.555556    0.111111    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.124659   -0.025411    0.070247    0.108238    0.291132
         0.347244    0.384765    0.481651


 k=(    0.444444    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133365   -0.014866    0.090096    0.115324    0.244656
         0.280031    0.477997    0.482593


 k=(    0.333333    0.000000    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159777    0.022183    0.117037    0.121039    0.233610
         0.280342    0.469421    0.469774


 k=(    0.222222    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176778    0.044154    0.123013    0.135868    0.261023
         0.321240    0.406709    0.420386


 k=(    0.111111    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182968    0.031328    0.149454    0.157749    0.292275
         0.333798    0.367735    0.399377


 k=(    0.000000    0.000000    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178115    0.008604    0.166629    0.175732    0.269637
         0.331314    0.341725    0.491544


 k=(   -0.111111    0.000000    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162683   -0.009542    0.124821    0.170477    0.293524
         0.337840    0.346801    0.472836


 k=(   -0.222222    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138136   -0.023823    0.071682    0.151758    0.288538
         0.384208    0.389057    0.464700


 k=(   -0.333333    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.109295   -0.044115    0.046715    0.132230    0.266722
         0.415435    0.438916    0.463376


 k=(    0.555556    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104479   -0.047959    0.058123    0.119249    0.252409
         0.337213    0.465623    0.473207


 k=(    0.444444   -0.111111    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104399   -0.048105    0.084091    0.093719    0.266397
         0.279225    0.469580    0.536137


 k=(    0.333333   -0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132729   -0.017453    0.096829    0.111275    0.240381
         0.283324    0.481175    0.486571


 k=(    0.222222   -0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152865    0.007938    0.095382    0.123557    0.271986
         0.310365    0.407913    0.466322


 k=(    0.111111   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162937    0.009100    0.097909    0.153348    0.306887
         0.342393    0.378607    0.403296


 k=(    0.000000   -0.111111    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162570   -0.009867    0.123863    0.172065    0.293887
         0.337997    0.345646    0.473876


 k=(   -0.111111   -0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152247   -0.027307    0.140467    0.148116    0.286032
         0.328672    0.362720    0.454685


 k=(   -0.222222   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133385   -0.037816    0.094804    0.136256    0.310380
         0.324328    0.406609    0.445201


 k=(   -0.333333   -0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108583   -0.047209    0.058486    0.114140    0.301113
         0.370239    0.422497    0.447633


 k=(    0.555556   -0.111111    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.083395   -0.067170    0.057490    0.097690    0.282977
         0.337792    0.448018    0.458424


 k=(    0.444444   -0.222222    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.088684   -0.061033    0.060688    0.093661    0.278242
         0.342388    0.449161    0.458042


 k=(    0.333333   -0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104363   -0.049256    0.063857    0.115020    0.247307
         0.341734    0.472433    0.474597


 k=(    0.222222   -0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122674   -0.030973    0.073576    0.109420    0.285130
         0.352538    0.391039    0.482510


 k=(    0.111111   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134411   -0.018594    0.062594    0.132594    0.320794
         0.351366    0.383891    0.457177


 k=(    0.000000   -0.222222    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.137785   -0.024605    0.071064    0.152979    0.290016
         0.382936    0.388094    0.465350


 k=(   -0.111111   -0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133214   -0.038061    0.093392    0.137983    0.309634
         0.326188    0.404725    0.445343


 k=(   -0.222222   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122824   -0.045128    0.082077    0.133679    0.271007
         0.391012    0.403928    0.430089


 k=(    0.333333    0.222222    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109667   -0.045664    0.060485    0.111616    0.297233
         0.374787    0.423395    0.448088


 k=(    0.444444    0.222222    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.095829   -0.051523    0.060923    0.082662    0.346738
         0.350135    0.374228    0.438978


 k=(    0.444444    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113798   -0.036747    0.055686    0.111721    0.296094
         0.369752    0.431889    0.446563


 k=(    0.333333    0.666667    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.112913   -0.037785    0.048356    0.127706    0.261714
         0.420651    0.443800    0.459536


 k=(    0.222222    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110824   -0.043344    0.059440    0.111560    0.295810
         0.375747    0.426169    0.446189


 k=(    0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109068   -0.045931    0.056431    0.115460    0.302661
         0.367683    0.424100    0.446359


 k=(    0.000000   -0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.108326   -0.045730    0.046400    0.133159    0.268135
         0.414053    0.437542    0.465294


 k=(   -0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108125   -0.047793    0.057406    0.115404    0.302548
         0.369340    0.422580    0.446584


 k=(    0.222222    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109580   -0.045713    0.059889    0.112240    0.297179
         0.375650    0.423878    0.446952


 k=(    0.333333    0.333333    0.666667):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.112016   -0.039462    0.048082    0.128772    0.263092
         0.418865    0.442330    0.460886


 k=(    0.444444    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113481   -0.037276    0.055159    0.112464    0.297568
         0.368012    0.430947    0.447254


 k=(    0.444444    0.555556    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137948   -0.025862    0.087824    0.136011    0.307740
         0.322522    0.399064    0.445837


 k=(    0.333333    0.555556    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141473   -0.013650    0.069227    0.146837    0.283645
         0.383206    0.385806    0.469673


 k=(    0.222222    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136978   -0.010819    0.062755    0.126258    0.314234
         0.353536    0.384705    0.458491


 k=(    0.111111    0.555556    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123985   -0.027071    0.069940    0.109631    0.292162
         0.346217    0.385761    0.481285


 k=(    0.000000    0.555556    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103528   -0.049458    0.057802    0.120028    0.253727
         0.336051    0.465992    0.473313


 k=(   -0.111111    0.555556    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.081969   -0.068693    0.056696    0.098529    0.284291
         0.336604    0.447606    0.458506


 k=(    0.222222    0.444444    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.095971   -0.051269    0.060717    0.082731    0.345462
         0.351663    0.374045    0.438830


 k=(    0.333333    0.444444    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113617   -0.037092    0.055643    0.111830    0.297708
         0.367101    0.430570    0.447921


 k=(    0.555556    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128005   -0.032871    0.073974    0.134789    0.271486
         0.385174    0.394438    0.434305


 k=(    0.444444    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149732   -0.000503    0.092026    0.129261    0.266251
         0.360339    0.396090    0.407818


 k=(    0.333333    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164808    0.018814    0.095613    0.146384    0.305534
         0.336027    0.383081    0.400937


 k=(    0.222222    0.444444    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169704    0.028586    0.084911    0.164768    0.302281
         0.366318    0.374107    0.419600


 k=(    0.111111    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164006    0.013941    0.099870    0.145729    0.310660
         0.335164    0.378561    0.405937


 k=(    0.000000    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148038   -0.006921    0.092898    0.133194    0.270733
         0.356016    0.397208    0.410330


 k=(   -0.111111    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123161   -0.028841    0.068015    0.113078    0.291177
         0.346343    0.389545    0.477969


 k=(   -0.222222    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.094307   -0.053729    0.059536    0.084838    0.343380
         0.355081    0.374331    0.437167


 k=(    0.666667    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.097470   -0.048929    0.061661    0.080857    0.347690
         0.348287    0.373449    0.440649


 k=(    0.555556    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125887   -0.022064    0.069313    0.107181    0.287586
         0.350079    0.385664    0.479192


 k=(    0.444444    0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164966    0.019476    0.096628    0.144437    0.306486
         0.334059    0.383132    0.402566


 k=(    0.333333    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184219    0.040227    0.145712    0.153207    0.288263
         0.333302    0.361515    0.402508


 k=(    0.222222    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192966    0.061926    0.130829    0.180542    0.301380
         0.333594    0.342430    0.428559


 k=(    0.111111    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190546    0.070183    0.120219    0.160521    0.293742
         0.343035    0.366536    0.389174


 k=(    0.000000    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177015    0.046835    0.119018    0.136786    0.261857
         0.321398    0.405911    0.417654


 k=(   -0.111111    0.333333    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153340    0.010430    0.094539    0.121784    0.272506
         0.310660    0.405298    0.466395


 k=(   -0.222222    0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123731   -0.028499    0.074542    0.106718    0.284370
         0.353727    0.388664    0.484177


 k=(    0.666667    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.112183   -0.040889    0.060245    0.109492    0.294664
         0.374003    0.427398    0.447929


 k=(    0.555556    0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137448   -0.009311    0.062870    0.124941    0.312818
         0.354478    0.384368    0.458581


 k=(    0.444444    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169973    0.030302    0.084740    0.163071    0.301054
         0.367741    0.373548    0.420107


 k=(    0.333333    0.222222    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.193047    0.062591    0.131789    0.178348    0.301176
         0.335912    0.340849    0.428281


 k=(    0.222222    0.222222    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205870    0.086461    0.177001    0.181749    0.279018
         0.328029    0.332508    0.438876


 k=(    0.111111    0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207409    0.108006    0.160522    0.168109    0.285369
         0.332392    0.359311    0.385707


 k=(    0.000000    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197525    0.094416    0.142238    0.149381    0.254361
         0.336380    0.397164    0.398120


 k=(   -0.111111    0.222222    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176849    0.044455    0.128862    0.130134    0.257940
         0.323684    0.407121    0.421692


 k=(   -0.222222    0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148066   -0.007987    0.101580    0.126259    0.263204
         0.362270    0.397650    0.416522


 k=(   -0.333333    0.222222    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.125303   -0.040034    0.081577    0.131545    0.268441
         0.389923    0.403422    0.432844


 k=(    0.555556    0.222222    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.140640   -0.017235    0.073521    0.144831    0.282209
         0.386923    0.391653    0.466432


 k=(    0.444444    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164364    0.015746    0.099891    0.144000    0.310256
         0.333456    0.379711    0.406287


 k=(    0.333333    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190662    0.071768    0.120079    0.158743    0.294273
         0.342522    0.365721    0.389312


 k=(    0.222222    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207432    0.108615    0.161575    0.166256    0.285662
         0.333162    0.358179    0.385018


 k=(    0.111111    0.111111    0.222222):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213043    0.121784    0.157146    0.195707    0.312774
         0.317128    0.322974    0.399145


 k=(    0.000000    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207136    0.100939    0.165595    0.170637    0.287360
         0.334453    0.358971    0.384559


 k=(   -0.111111    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190060    0.064034    0.120845    0.167630    0.291979
         0.343828    0.370072    0.388810


 k=(   -0.222222    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163481    0.011448    0.098809    0.150328    0.303953
         0.338473    0.382773    0.408167


 k=(   -0.333333    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135115   -0.033524    0.092176    0.136540    0.307377
         0.324838    0.404002    0.447931


 k=(    0.555556    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135828   -0.031835    0.092954    0.134153    0.312526
         0.320116    0.404984    0.441955


 k=(    0.444444    0.000000    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148461   -0.005369    0.092563    0.132447    0.269485
         0.357157    0.396462    0.410172


 k=(    0.333333    0.000000    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177115    0.047734    0.118891    0.136062    0.261448
         0.321909    0.405098    0.417353


 k=(    0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197518    0.094043    0.143555    0.148530    0.254437
         0.336156    0.397228    0.397871


 k=(    0.111111    0.000000    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207107    0.100180    0.165162    0.172169    0.287121
         0.333554    0.359990    0.384991


 k=(    0.000000    0.000000    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205252    0.077742    0.179183    0.188601    0.283565
         0.328418    0.336848    0.435088


 k=(   -0.111111    0.000000    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192075    0.052984    0.133767    0.187444    0.305131
         0.332348    0.347760    0.425545


 k=(   -0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168603    0.022149    0.085418    0.171324    0.306959
         0.361221    0.376654    0.417547


 k=(   -0.333333    0.000000    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138984   -0.020978    0.069508    0.152122    0.288610
         0.381218    0.386885    0.467507


 k=(    0.555556    0.000000    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124753   -0.040089    0.074716    0.138137    0.274946
         0.386089    0.395848    0.430784


 k=(    0.444444   -0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123567   -0.027820    0.067694    0.112882    0.289856
         0.347367    0.389882    0.476986


 k=(    0.333333   -0.111111    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153316    0.010254    0.094749    0.121786    0.272672
         0.310392    0.405347    0.466203


 k=(    0.222222   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176724    0.043271    0.128821    0.131434    0.258504
         0.322792    0.407563    0.422292


 k=(    0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189931    0.062400    0.121385    0.169152    0.291682
         0.343831    0.370943    0.388690


 k=(    0.000000   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.191988    0.052294    0.133235    0.189232    0.305470
         0.330636    0.348713    0.425962


 k=(   -0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182815    0.030216    0.151201    0.157566    0.291169
         0.330132    0.371984    0.403299


 k=(   -0.222222   -0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163041    0.009011    0.100947    0.149999    0.306635
         0.338017    0.380636    0.410278


 k=(   -0.333333   -0.111111    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134922   -0.017114    0.062569    0.131518    0.319007
         0.352541    0.383699    0.457112


 k=(   -0.444444   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109867   -0.044125    0.054571    0.116628    0.300793
         0.370371    0.427443    0.444635


 k=(    0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.094148   -0.053997    0.059720    0.084788    0.343905
         0.354258    0.374566    0.437306


 k=(    0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123225   -0.029806    0.075069    0.106977    0.285592
         0.352506    0.388550    0.485129


 k=(    0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147595   -0.009678    0.101760    0.127355    0.264368
         0.360929    0.398096    0.417170


 k=(    0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163096    0.009572    0.099092    0.151842    0.304559
         0.339874    0.381626    0.407855


 k=(    0.000000   -0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168318    0.020508    0.085752    0.172720    0.308432
         0.359666    0.377538    0.416946


 k=(   -0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162875    0.008380    0.100134    0.151661    0.305940
         0.339617    0.380580    0.408913


 k=(   -0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147123   -0.011326    0.102044    0.128258    0.265620
         0.359573    0.398734    0.417604


 k=(   -0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122445   -0.031656    0.074832    0.108409    0.286660
         0.351268    0.389671    0.484812


 k=(   -0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.093151   -0.055462    0.059530    0.085498    0.344610
         0.353929    0.375026    0.436425


 k=(    0.444444    0.666667    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.096615   -0.050307    0.061324    0.081786    0.347245
         0.349107    0.373877    0.439890


 k=(    0.333333    0.666667    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.111003   -0.043223    0.060638    0.110286    0.295923
         0.373970    0.425179    0.448588


 k=(   -0.222222    0.333333   -0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124092   -0.042565    0.081789    0.132688    0.269671
         0.390342    0.403805    0.431503


 k=(    0.111111   -0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134096   -0.035913    0.092091    0.138144    0.308086
         0.326456    0.403414    0.446731


 k=(    0.000000   -0.333333    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138217   -0.023189    0.069994    0.153165    0.290051
         0.381402    0.387016    0.466879


 k=(   -0.111111   -0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134398   -0.018644    0.062630    0.132613    0.320691
         0.351619    0.383719    0.457000


 k=(   -0.222222   -0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122166   -0.032230    0.074085    0.109618    0.286422
         0.351297    0.390894    0.483560


 k=(   -0.333333   -0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103189   -0.051145    0.063630    0.115932    0.248598
         0.340468    0.473305    0.474329


 k=(   -0.444444   -0.333333    0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.087419   -0.062590    0.060015    0.094615    0.279535
         0.341077    0.448522    0.458583


 k=(    0.444444    0.555556    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125619   -0.022709    0.068680    0.108387    0.287291
         0.350084    0.386988    0.477856


 k=(    0.333333    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136947   -0.010966    0.062871    0.126303    0.314061
         0.354132    0.384188    0.458110


 k=(    0.222222    0.555556    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139908   -0.019434    0.073813    0.146161    0.283477
         0.387349    0.391636    0.465166


 k=(    0.111111    0.555556    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134852   -0.034167    0.092737    0.135862    0.312800
         0.322186    0.404465    0.440685


 k=(    0.000000    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.123573   -0.042555    0.075107    0.138980    0.276311
         0.386926    0.395738    0.429469


 k=(    0.111111    0.444444   -0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108672   -0.046350    0.054975    0.117220    0.302238
         0.370166    0.425578    0.444579


 k=(    0.222222    0.444444   -0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.092245   -0.056730    0.059156    0.086266    0.344654
         0.354550    0.375235    0.435431


 k=(    0.333333    0.444444   -0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.087520   -0.062451    0.059967    0.094615    0.279546
         0.341111    0.447989    0.458976


 k=(    0.555556    0.555556    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107273   -0.043338    0.059306    0.116251    0.248979
         0.340439    0.465700    0.471688


 k=(    0.444444    0.444444    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133965   -0.013123    0.091689    0.112436    0.242313
         0.282553    0.478357    0.479609


 k=(    0.333333    0.444444    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153962    0.013578    0.095020    0.117984    0.273928
         0.310355    0.401439    0.466415


 k=(    0.222222    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163954    0.013318    0.101748    0.144422    0.309846
         0.333670    0.379817    0.409434


 k=(    0.111111    0.444444    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163557   -0.006657    0.128474    0.163340    0.291734
         0.336920    0.349308    0.472868


 k=(    0.000000    0.444444    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153234   -0.024248    0.131539    0.154970    0.287247
         0.333237    0.353593    0.450162


 k=(   -0.111111    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134345   -0.034884    0.088553    0.141139    0.309753
         0.328291    0.399158    0.441074


 k=(   -0.222222    0.444444    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109392   -0.045285    0.055939    0.115931    0.299234
         0.373711    0.426716    0.444049


 k=(    0.666667    0.444444    0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.085013   -0.065335    0.058133    0.096859    0.281647
         0.339114    0.447590    0.458852


 k=(    0.555556    0.444444    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105867   -0.045473    0.085103    0.091185    0.267915
         0.278179    0.465172    0.535563


 k=(    0.444444    0.333333    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154184    0.014826    0.094831    0.116855    0.274321
         0.310367    0.400080    0.466706


 k=(    0.333333    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177438    0.050847    0.119082    0.132673    0.260201
         0.323817    0.404234    0.414963


 k=(    0.222222    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190538    0.069950    0.120442    0.160627    0.293815
         0.343155    0.366183    0.388870


 k=(    0.111111    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192524    0.056711    0.136148    0.179342    0.303750
         0.338630    0.342817    0.425291


 k=(    0.000000    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183308    0.033764    0.146475    0.158205    0.291892
         0.336170    0.363793    0.398014


 k=(   -0.111111    0.333333    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163525    0.012148    0.096724    0.151477    0.307621
         0.340979    0.378533    0.401415


 k=(   -0.222222    0.333333    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135475   -0.015393    0.062341    0.130388    0.317514
         0.352834    0.384151    0.457789


 k=(   -0.333333    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110837   -0.042924    0.057547    0.112981    0.299870
         0.367882    0.425662    0.447995


 k=(    0.555556    0.333333    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.124654   -0.025680    0.071768    0.106996    0.289837
         0.348725    0.384478    0.483080


 k=(    0.444444    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164341    0.015434    0.100861    0.143312    0.309843
         0.332722    0.380353    0.408036


 k=(    0.333333    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190659    0.071675    0.120171    0.158780    0.294302
         0.342570    0.365583    0.389200


 k=(    0.222222    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207456    0.109357    0.162559    0.164315    0.285927
         0.334092    0.356952    0.384361


 k=(    0.111111    0.222222    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213097    0.123805    0.156560    0.193645    0.312082
         0.318933    0.321866    0.399000


 k=(    0.000000    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207222    0.103162    0.163583    0.170046    0.287202
         0.335035    0.357772    0.384134


 k=(   -0.111111    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190184    0.065645    0.120280    0.166232    0.292308
         0.343714    0.369133    0.388843


 k=(   -0.222222    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163645    0.012108    0.099590    0.148670    0.304609
         0.336847    0.382892    0.409575


 k=(   -0.333333    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135279   -0.033279    0.093603    0.134790    0.308053
         0.323021    0.405954    0.447795


 k=(    0.555556    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135840   -0.031964    0.094409    0.132726    0.312952
         0.318483    0.406823    0.442854


 k=(    0.444444    0.111111    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.164094   -0.004657    0.128359    0.161826    0.290866
         0.335936    0.349020    0.473621


 k=(    0.333333    0.111111    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192717    0.058621    0.135848    0.177478    0.302885
         0.339512    0.341355    0.425857


 k=(    0.222222    0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213150    0.125776    0.156343    0.191246    0.312132
         0.320051    0.320758    0.398808


 k=(    0.111111    0.111111    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222684    0.162995    0.191033    0.196225    0.293749
         0.311783    0.315371    0.365316


 k=(    0.000000    0.111111    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220647    0.163577    0.176761    0.187264    0.283109
         0.331963    0.335725    0.356947


 k=(   -0.111111    0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207152    0.101569    0.159982    0.176470    0.285395
         0.330992    0.362783    0.386983


 k=(   -0.222222    0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183293    0.033440    0.148897    0.157035    0.288995
         0.328882    0.371070    0.405582


 k=(   -0.333333    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153673   -0.023237    0.140149    0.145904    0.283969
         0.326670    0.361998    0.457095


 k=(    0.555556    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140535   -0.042905    0.130210    0.150430    0.283956
         0.328007    0.353076    0.504344


 k=(    0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153920   -0.022244    0.131002    0.154288    0.286263
         0.331695    0.353685    0.451364


 k=(    0.333333    0.000000    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183537    0.035342    0.145587    0.157767    0.290886
         0.335100    0.363611    0.399129


 k=(    0.222222    0.000000    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207280    0.104601    0.162303    0.169819    0.286859
         0.334656    0.357645    0.384141


 k=(    0.111111    0.000000    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220645    0.162490    0.178784    0.186434    0.283068
         0.332584    0.334987    0.356888


 k=(    0.000000    0.000000    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222551    0.152073    0.194847    0.205397    0.299404
         0.308613    0.314664    0.362755


 k=(   -0.111111    0.000000    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212880    0.117065    0.156861    0.202952    0.309998
         0.317426    0.325257    0.399502


 k=(   -0.222222    0.000000    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192301    0.055435    0.131287    0.188138    0.303768
         0.329556    0.347911    0.427258


 k=(   -0.333333    0.000000    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163563   -0.006151    0.121909    0.171490    0.292382
         0.335051    0.345054    0.474844


 k=(   -0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140251   -0.043219    0.122420    0.159331    0.286068
         0.331801    0.344748    0.503679


 k=(    0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135163   -0.032796    0.087321    0.141263    0.308397
         0.328378    0.397786    0.442426


 k=(    0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163726    0.013297    0.095722    0.151699    0.306275
         0.341232    0.379627    0.400137


 k=(    0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190179    0.065519    0.120390    0.166310    0.292347
         0.343768    0.368943    0.388644


 k=(    0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207089    0.099978    0.161277    0.176985    0.285788
         0.331220    0.362818    0.386721


 k=(    0.000000   -0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212824    0.115324    0.157466    0.204799    0.310055
         0.316443    0.326205    0.399525


 k=(   -0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207027    0.098482    0.162649    0.177279    0.286204
         0.331526    0.362826    0.386492


 k=(   -0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190052    0.063844    0.121006    0.167761    0.292036
         0.343910    0.369781    0.388486


 k=(   -0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163539    0.012325    0.095851    0.152730    0.305216
         0.342108    0.380197    0.400434


 k=(   -0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135010   -0.033171    0.087299    0.141636    0.307707
         0.329003    0.397654    0.443481


 k=(   -0.444444    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110216   -0.043593    0.055035    0.115994    0.299269
         0.372170    0.428160    0.444184


 k=(   -0.333333    0.222222   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135455   -0.015480    0.062405    0.130419    0.317380
         0.353226    0.383847    0.457520


 k=(   -0.222222    0.222222   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163424    0.010862    0.100688    0.148522    0.305908
         0.336650    0.381801    0.410628


 k=(   -0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183054    0.031810    0.149800    0.157595    0.290040
         0.329433    0.371613    0.404440


 k=(    0.000000    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192102    0.053495    0.132021    0.189594    0.304755
         0.329219    0.348818    0.426846


 k=(    0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189928    0.062332    0.121440    0.169203    0.291702
         0.343860    0.370838    0.388566


 k=(    0.222222    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176604    0.042167    0.129303    0.132093    0.259076
         0.321956    0.408197    0.422721


 k=(   -0.333333   -0.222222    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153076    0.008973    0.095233    0.122648    0.272424
         0.310229    0.406675    0.466093


 k=(   -0.444444   -0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123287   -0.028681    0.068471    0.112872    0.288353
         0.348807    0.390904    0.477040


 k=(    0.555556    0.333333   -0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.084880   -0.065505    0.058179    0.096862    0.281635
         0.339082    0.448096    0.458487


 k=(   -0.333333    0.333333   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109963   -0.044749    0.058555    0.112935    0.299741
         0.369494    0.424132    0.448279


 k=(   -0.222222    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134431   -0.035422    0.094931    0.134666    0.309496
         0.322790    0.407252    0.446450


 k=(   -0.111111    0.333333   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152967   -0.025275    0.139960    0.147397    0.284959
         0.327547    0.362488    0.455916


 k=(    0.000000    0.333333   -0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163015   -0.008179    0.122420    0.172588    0.293285
         0.336249    0.345126    0.474881


 k=(    0.111111    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163145    0.010234    0.096918    0.153579    0.305477
         0.342680    0.379673    0.402086


 k=(    0.222222    0.333333   -0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152850    0.007838    0.095495    0.123567    0.272081
         0.310209    0.407944    0.466201


 k=(    0.333333    0.333333   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132475   -0.018217    0.096542    0.112137    0.241322
         0.282290    0.481735    0.486956


 k=(    0.444444    0.333333   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103905   -0.048994    0.084494    0.093828    0.266425
         0.279049    0.470734    0.536280


 k=(    0.444444    0.555556    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105474   -0.046201    0.085104    0.091618    0.267608
         0.278354    0.466346    0.535785


 k=(    0.333333    0.555556    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123954   -0.027655    0.072988    0.107177    0.289631
         0.348997    0.385295    0.484149


 k=(    0.222222    0.555556    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134868   -0.034429    0.095587    0.133071    0.313379
         0.319206    0.408009    0.442586


 k=(    0.111111    0.555556    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139371   -0.045422    0.130208    0.151791    0.284869
         0.328972    0.353441    0.505317


 k=(    0.000000    0.444444   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139081   -0.045742    0.122862    0.160195    0.286992
         0.333682    0.344232    0.504561


 k=(    0.111111    0.444444   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134026   -0.035638    0.088490    0.141900    0.308331
         0.329566    0.398835    0.443288


 k=(    0.222222    0.444444   -0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122575   -0.030590    0.069571    0.113063    0.288208
         0.349088    0.391632    0.478199


 k=(    0.333333    0.444444   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103504   -0.049690    0.084495    0.094206    0.266139
         0.279235    0.471804    0.536222


 k=(    0.444444    0.444444   -0.111111):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.082576   -0.073238    0.084195    0.105421    0.236024
         0.268058    0.540735    0.551822


 k=(    0.444444    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.108811   -0.046953    0.104085    0.106164    0.228714
         0.243582    0.544760    0.544922


 k=(    0.333333    0.444444    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132949   -0.016432    0.092452    0.114499    0.243349
         0.280855    0.478920    0.485051


 k=(    0.222222    0.444444    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147834   -0.008180    0.096196    0.131337    0.267955
         0.358389    0.396533    0.413803


 k=(    0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153118   -0.024694    0.134005    0.152936    0.286286
         0.330061    0.358104    0.452365


 k=(    0.000000    0.444444    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.149636   -0.040270    0.158548    0.169602    0.261338
         0.324298    0.337392    0.491002


 k=(   -0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139196   -0.045612    0.125175    0.157520    0.286062
         0.330572    0.349195    0.504764


 k=(    0.222222    0.555556    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.123754   -0.042612    0.077516    0.136862    0.273348
         0.388057    0.399761    0.429887


 k=(    0.333333    0.555556    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103731   -0.049622    0.060126    0.118356    0.250897
         0.338497    0.468006    0.474283


 k=(    0.555556    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.079707   -0.076170    0.082127    0.107525    0.238142
         0.266012    0.539618    0.551498


 k=(    0.444444    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133251   -0.015394    0.091473    0.114557    0.243553
         0.280892    0.477959    0.483860


 k=(    0.333333    0.333333    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159763    0.022047    0.117957    0.120293    0.233696
         0.280191    0.469387    0.469711


 k=(    0.222222    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176884    0.045093    0.122741    0.135240    0.260543
         0.321852    0.405856    0.420129


 k=(    0.111111    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183200    0.032890    0.148150    0.157764    0.291171
         0.332786    0.367583    0.400500


 k=(    0.000000    0.333333    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178493    0.010371    0.165020    0.176112    0.268754
         0.329258    0.341963    0.491053


 k=(   -0.111111    0.333333    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163237   -0.007526    0.124298    0.169449    0.292537
         0.336007    0.347386    0.472820


 k=(   -0.222222    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138909   -0.021608    0.071192    0.150741    0.287038
         0.383657    0.389294    0.465445


 k=(   -0.333333    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.110247   -0.042467    0.046973    0.131318    0.265263
         0.417050    0.440397    0.461407


 k=(    0.555556    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104602   -0.047998    0.059255    0.118421    0.250973
         0.338477    0.466573    0.473703


 k=(    0.444444    0.222222    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148365   -0.005998    0.094201    0.131532    0.268073
         0.358455    0.395997    0.411946


 k=(    0.333333    0.222222    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177052    0.046863    0.120729    0.135302    0.260759
         0.322201    0.405010    0.418650


 k=(    0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197514    0.093823    0.144641    0.147719    0.254482
         0.336022    0.397380    0.397607


 k=(    0.111111    0.222222    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207165    0.101583    0.163557    0.172294    0.286732
         0.333155    0.359928    0.385068


 k=(    0.000000    0.222222    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205377    0.079451    0.177335    0.188797    0.282515
         0.326951    0.337397    0.435840


 k=(   -0.111111    0.222222    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192275    0.054911    0.133023    0.186056    0.304041
         0.332471    0.347134    0.425966


 k=(   -0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168886    0.023848    0.085018    0.169954    0.305409
         0.362896    0.375768    0.418153


 k=(   -0.333333    0.222222    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139324   -0.020177    0.070088    0.150920    0.287076
         0.382231    0.388168    0.466730


 k=(    0.555556    0.222222    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124846   -0.040113    0.075910    0.137088    0.273441
         0.386684    0.397892    0.430942


 k=(    0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153865   -0.022466    0.132202    0.153303    0.285776
         0.330090    0.355980    0.452443


 k=(    0.333333    0.111111    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183484    0.034898    0.146449    0.157521    0.290522
         0.333384    0.365559    0.400359


 k=(    0.222222    0.111111    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207252    0.103778    0.162515    0.170733    0.286627
         0.333671    0.358784    0.384644


 k=(    0.111111    0.111111    0.000000):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220645    0.161928    0.180116    0.185729    0.283044
         0.333357    0.334143    0.356853


 k=(    0.000000    0.111111    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222578    0.154112    0.192584    0.205309    0.297998
         0.308243    0.316002    0.363265


 k=(   -0.111111    0.111111    0.000000):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212935    0.118959    0.156049    0.201202    0.309630
         0.318889    0.324116    0.399460


 k=(   -0.222222    0.111111    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192387    0.056162    0.131758    0.186388    0.303394
         0.331112    0.347160    0.426794


 k=(   -0.333333    0.111111    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163673   -0.005822    0.122831    0.169937    0.291997
         0.334878    0.346244    0.473820


 k=(   -0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140307   -0.043155    0.123553    0.158017    0.285594
         0.330264    0.347224    0.503743


 k=(   -0.444444    0.000000    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.150595   -0.037986    0.157588    0.169434    0.260580
         0.323069    0.336767    0.490123


 k=(   -0.333333    0.000000    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178866    0.012149    0.163959    0.175861    0.267931
         0.328054    0.341367    0.491123


 k=(   -0.222222    0.000000    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205502    0.081188    0.176028    0.188365    0.281542
         0.326170    0.337250    0.436589


 k=(   -0.111111    0.000000    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222604    0.156268    0.190780    0.204597    0.296719
         0.308458    0.316681    0.363765


 k=(    0.000000    0.000000    0.000000):       259 3-d basis functions
 the   8 eigenvalues are:
        -0.228429    0.198311    0.203902    0.215994    0.293994
         0.300756    0.304268    0.321011


 fermi energy and band-weighting factors:

FERMIE:
          first approx. to ef    (T=0)  :  0.215994 htr   (energy of the highest occ. eigenvalue)
          number of occ. states  (T=0)  :      1460
          first approx. to seigv (T=0)  :  0.176446 htr
          sum of weights of occ. states :  4.000000
          sum of semicore eigenvalues   :  0.000000 htr
          sum of semicore charge        :  0.000000 e



FERHIS:  Fermi-Energy by histogram:

          bandgap                     :   0.012007 htr
          charge neutrality (T=0)     :   0.000000    (zero if the highest occ. eigenvalue is "entirely" occupied)

     EF_NEWTON:  Adjust Fermi-Energy by Newton-Method.

               Number of iterations needed  :   4
               The error in the weight is   :  0.81918E-14
               The error in ef is           : -0.58841E-12 htr


     -->  new fermi energy            :   0.221269 htr
          valence charge              :   8.000000 e 
          actual charge blw ef-8kt    :   7.997257 e 
          actual charge blw ef+8kt    :   8.000000 e 
          number of occ. states       :      1463
          sum of the valence weights  :   4.000000
          entropy         :   0.000200 *kb htr/K =   0.00000 htr/K

          sum of val. single particle energies:         0.1764460972 htr



          valence density: spin= 1

     l-like charge
     atom     s        p        d        f        total
 --> 1    0.89050  1.17094  0.08212  0.00603    2.15119
 --> 2    0.89050  1.17094  0.08212  0.00603    2.15119
 Energy Parameters for spin:           1
 Max. mismatch of energy parameters:    0.000000

     energy parameters for window 1
     atom     s        p        d        f
 -->  1   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0
 -->  2   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0

          total charge for spin  1=    8.000000
          interst. charge =       3.697628
          mt charge=              2.151186    2.151186

          total charge  =    8.000000


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.2037        2.
               2.   0.   0.5   -4.7107        2.
               2.   1.   0.5   -3.1110        2.
               2.   1.   1.5   -3.0872        4.
          atom type  1  (spin 1) 
          kinetic energy=  0.285372365548E+03     sum of the eigenvalues= -0.158399795636E+03
          0.00178912  electrons lost from core.


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.2037        2.
               2.   0.   0.5   -4.7107        2.
               2.   1.   0.5   -3.1110        2.
               2.   1.   1.5   -3.0872        4.
          atom type  2  (spin 1) 
          kinetic energy=  0.285372365567E+03     sum of the eigenvalues= -0.158399795713E+03
          0.00178912  electrons lost from core.

          alpha=   1.39394     acoff=   0.09674

          alpha=   1.39394     acoff=   0.09674

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*



     t o t a l  e n e r g y

          sum of eigenvalues =              -316.6231452525

          density-coulomb potential int     -844.4026111208

          density-effective potential i     -898.3127851181

          charge density-ex.-corr.energ      -41.7445140282
 
 FORCES: EQUATION A3 FOR ATOM TYPE   1
 FX_A3= -0.013532  0.000000 FY_A3= -0.008921  0.000000 FZ_A3= -0.004206  0.000000
 FORCES: EQUATION A3 FOR ATOM TYPE   2
 FX_A3=  0.013532  0.000000 FY_A3=  0.008921  0.000000 FZ_A3=  0.004207  0.000000

          el.-nucl. inter. diff. m.t.        342.2718660706

          Madelung term for atom type:        -6.6358162686

          el.-nucl. inter. diff. m.t.        342.2718659739

          Madelung term for atom type:        -6.6358163038


 ----> total energy=                        -580.0715443400 htr

 ***** TOTAL FORCES ON ATOMS ***** 

 TOTAL FORCE FOR ATOM TYPE=  1  X=  1.292   Y=  1.292   Z=  1.292
                       FX_TOT=-0.013532 FY_TOT=-0.008921 FZ_TOT=-0.004206
 TOTAL FORCE FOR ATOM TYPE=  2  X= -1.369   Y= -1.344   Z= -1.318
                       FX_TOT= 0.013532 FY_TOT= 0.008921 FZ_TOT= 0.004207
eps_force= 0.00001max= 0.00000


 ---->(tkb*entropy) TS=                        0.0000001998 htr


 ----> free energy=                         -580.0715445398 htr


      extrapolation for T->0
 ----> total electron energy=               -580.0715444399 htr
 wrtdop title:alpha Si                                                                ordered*
 wrtdop title:alpha Si                                                                ordered*
     <vi|w|Fm> for it 2      -0.000014
     <vi|w|Fm> for it 3       0.000028
     <vi|w|Fm> for it 4       0.000021
     <vi|w|Fm> for it 5       0.000229
     <vi|w|Fm> for it 6       0.000102
     <vi|w|Fm> for it 7       0.000245
     <vi|w|Fm> for it 8       0.000751
     <vi|w|Fm> for it 9       0.001279
     <vi|w|Fm> for it10       0.006755
     <vi|w|Fm> for it11       0.129869
     <vi|w|Fm> for it12      -0.133694
     <vi|w|Fm> for it13       0.092406

----> distance of charge densities for spin  1        it= 14:   0.000007 me/bohr**3

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*

     ******* it= 14  is completed********



             it=       15

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*


          p o t e n t i a l   g e n e r a t o r


          multipole moments for atom type=    1

  l   m                   original                      plane wave
  0   0          -0.52203E+00    0.00000E+00         0.77848E+00   -0.18789E-14
  1   0           0.16734E-02    0.00000E+00         0.14127E-02   -0.11505E-14
  1   1          -0.49363E-02    0.31538E-02        -0.40563E-02    0.25988E-02
  1  -1           0.49363E-02    0.31538E-02         0.40563E-02    0.25988E-02
  1   1          -0.49363E-02    0.31538E-02        -0.40563E-02    0.25988E-02
  1  -1           0.49363E-02    0.31538E-02         0.40563E-02    0.25988E-02
  2   0           0.52203E-03    0.00000E+00         0.49875E-03    0.28152E-16
  2   1           0.12346E-01   -0.18690E-01         0.11743E-01   -0.17751E-01
  2  -1          -0.12346E-01   -0.18690E-01        -0.11743E-01   -0.17751E-01
  2   2          -0.29032E-03    0.58685E-02        -0.27746E-03    0.56344E-02
  2  -2          -0.29032E-03   -0.58685E-02        -0.27746E-03   -0.56344E-02
  2   1           0.12346E-01   -0.18690E-01         0.11743E-01   -0.17751E-01
  2  -1          -0.12346E-01   -0.18690E-01        -0.11743E-01   -0.17751E-01
  2   2          -0.29032E-03    0.58685E-02        -0.27746E-03    0.56344E-02
  2  -2          -0.29032E-03   -0.58685E-02        -0.27746E-03   -0.56344E-02
  3   0          -0.84953E-02    0.00000E+00        -0.82483E-02   -0.12880E-14
  3   1          -0.10736E-01    0.72030E-02        -0.10356E-01    0.69547E-02
  3  -1           0.10736E-01    0.72030E-02         0.10356E-01    0.69547E-02
  3   2          -0.55444E-05    0.46967E+00        -0.47340E-05    0.46256E+00
  3  -2          -0.55444E-05   -0.46967E+00        -0.47340E-05   -0.46256E+00
  3   3           0.13842E-01    0.92682E-02         0.13355E-01    0.89520E-02
  3  -3          -0.13842E-01    0.92682E-02        -0.13355E-01    0.89520E-02
  3   1          -0.10736E-01    0.72030E-02        -0.10356E-01    0.69547E-02
  3  -1           0.10736E-01    0.72030E-02         0.10356E-01    0.69547E-02
  3   2          -0.55444E-05    0.46967E+00        -0.47340E-05    0.46256E+00
  3  -2          -0.55444E-05   -0.46967E+00        -0.47340E-05   -0.46256E+00
  3   3           0.13842E-01    0.92682E-02         0.13355E-01    0.89520E-02
  3  -3          -0.13842E-01    0.92682E-02        -0.13355E-01    0.89520E-02
  4   0          -0.27309E+00    0.00000E+00        -0.26912E+00    0.10288E-14
  4   1           0.34670E-03   -0.37978E-03         0.41295E-03   -0.48739E-03
  4  -1          -0.34670E-03   -0.37978E-03        -0.41295E-03   -0.48739E-03
  4   2          -0.31491E-03   -0.10924E-02        -0.30581E-03   -0.11522E-02
  4  -2          -0.31491E-03    0.10924E-02        -0.30581E-03    0.11522E-02
  4   3           0.83823E-03    0.95989E-03         0.10181E-02    0.12472E-02
  4  -3          -0.83823E-03    0.95989E-03        -0.10181E-02    0.12472E-02
  4   4          -0.16268E+00   -0.84935E-05        -0.16032E+00   -0.79850E-05
  4  -4          -0.16268E+00    0.84935E-05        -0.16032E+00    0.79850E-05
  4   1           0.34670E-03   -0.37978E-03         0.41295E-03   -0.48739E-03
  4  -1          -0.34670E-03   -0.37978E-03        -0.41295E-03   -0.48739E-03
  4   2          -0.31491E-03   -0.10924E-02        -0.30581E-03   -0.11522E-02
  4  -2          -0.31491E-03    0.10924E-02        -0.30581E-03    0.11522E-02
  4   3           0.83823E-03    0.95989E-03         0.10181E-02    0.12472E-02
  4  -3          -0.83823E-03    0.95989E-03        -0.10181E-02    0.12472E-02
  4   4          -0.16268E+00   -0.84935E-05        -0.16032E+00   -0.79850E-05
  4  -4          -0.16268E+00    0.84935E-05        -0.16032E+00    0.79850E-05
  5   0           0.53228E-02    0.00000E+00         0.52640E-02   -0.77880E-15
  5   1           0.43744E-02   -0.27155E-02         0.42149E-02   -0.26121E-02
  5  -1          -0.43744E-02   -0.27155E-02        -0.42149E-02   -0.26121E-02
  5   2           0.77404E-05    0.61510E-03         0.76072E-05    0.60126E-03
  5  -2           0.77404E-05   -0.61510E-03         0.76072E-05   -0.60126E-03
  5   3           0.17820E-01    0.11793E-01         0.17488E-01    0.11572E-01
  5  -3          -0.17820E-01    0.11793E-01        -0.17488E-01    0.11572E-01
  5   4          -0.46735E-02   -0.48302E-03        -0.45591E-02   -0.47202E-03
  5  -4          -0.46735E-02    0.48302E-03        -0.45591E-02    0.47202E-03
  5   5          -0.37256E-02    0.26169E-02        -0.37317E-02    0.26183E-02
  5  -5           0.37256E-02    0.26169E-02         0.37317E-02    0.26183E-02
  5   1           0.43744E-02   -0.27155E-02         0.42149E-02   -0.26121E-02
  5  -1          -0.43744E-02   -0.27155E-02        -0.42149E-02   -0.26121E-02
  5   2           0.77404E-05    0.61510E-03         0.76072E-05    0.60126E-03
  5  -2           0.77404E-05   -0.61510E-03         0.76072E-05   -0.60126E-03
  5   3           0.17820E-01    0.11793E-01         0.17488E-01    0.11572E-01
  5  -3          -0.17820E-01    0.11793E-01        -0.17488E-01    0.11572E-01
  5   4          -0.46735E-02   -0.48302E-03        -0.45591E-02   -0.47202E-03
  5  -4          -0.46735E-02    0.48302E-03        -0.45591E-02    0.47202E-03
  5   5          -0.37256E-02    0.26169E-02        -0.37317E-02    0.26183E-02
  5  -5           0.37256E-02    0.26169E-02         0.37317E-02    0.26183E-02
  6   0           0.10281E+00    0.00000E+00         0.10175E+00    0.11623E-14
  6   1          -0.64039E-02    0.97174E-02        -0.63488E-02    0.96355E-02
  6  -1           0.64039E-02    0.97174E-02         0.63488E-02    0.96355E-02
  6   2           0.11842E-03   -0.60791E-02         0.11734E-03   -0.60171E-02
  6  -2           0.11842E-03    0.60791E-02         0.11734E-03    0.60171E-02
  6   3          -0.42897E-02   -0.62277E-02        -0.42488E-02   -0.61690E-02
  6  -3           0.42897E-02   -0.62277E-02         0.42488E-02   -0.61690E-02
  6   4          -0.19311E+00   -0.54792E-05        -0.19113E+00   -0.55820E-05
  6  -4          -0.19311E+00    0.54792E-05        -0.19113E+00    0.55820E-05
  6   5          -0.97093E-02    0.14433E-01        -0.96202E-02    0.14304E-01
  6  -5           0.97093E-02    0.14433E-01         0.96202E-02    0.14304E-01
  6   6           0.17606E-03   -0.20776E-02         0.17447E-03   -0.20575E-02
  6  -6           0.17606E-03    0.20776E-02         0.17447E-03    0.20575E-02
  6   1          -0.64039E-02    0.97174E-02        -0.63488E-02    0.96355E-02
  6  -1           0.64039E-02    0.97174E-02         0.63488E-02    0.96355E-02
  6   2           0.11842E-03   -0.60791E-02         0.11734E-03   -0.60171E-02
  6  -2           0.11842E-03    0.60791E-02         0.11734E-03    0.60171E-02
  6   3          -0.42897E-02   -0.62277E-02        -0.42488E-02   -0.61690E-02
  6  -3           0.42897E-02   -0.62277E-02         0.42488E-02   -0.61690E-02
  6   4          -0.19311E+00   -0.54792E-05        -0.19113E+00   -0.55820E-05
  6  -4          -0.19311E+00    0.54792E-05        -0.19113E+00    0.55820E-05
  6   5          -0.97093E-02    0.14433E-01        -0.96202E-02    0.14304E-01
  6  -5           0.97093E-02    0.14433E-01         0.96202E-02    0.14304E-01
  6   6           0.17606E-03   -0.20776E-02         0.17447E-03   -0.20575E-02
  6  -6           0.17606E-03    0.20776E-02         0.17447E-03    0.20575E-02
  7   0           0.24636E-02    0.00000E+00         0.24471E-02    0.47314E-14
  7   1           0.51584E-02   -0.35463E-02         0.51444E-02   -0.35370E-02
  7  -1          -0.51584E-02   -0.35463E-02        -0.51444E-02   -0.35370E-02
  7   2           0.24198E-05   -0.12873E+00         0.24105E-05   -0.12878E+00
  7  -2           0.24198E-05    0.12873E+00         0.24105E-05    0.12878E+00
  7   3          -0.12548E-02   -0.85873E-03        -0.12390E-02   -0.84835E-03
  7  -3           0.12548E-02   -0.85873E-03         0.12390E-02   -0.84835E-03
  7   4           0.24426E-02   -0.36118E-03         0.24431E-02   -0.36207E-03
  7  -4           0.24426E-02    0.36118E-03         0.24431E-02    0.36207E-03
  7   5          -0.27215E-02    0.18617E-02        -0.27404E-02    0.18744E-02
  7  -5           0.27215E-02    0.18617E-02         0.27404E-02    0.18744E-02
  7   6           0.43108E-05   -0.11780E+00         0.42436E-05   -0.11784E+00
  7  -6           0.43108E-05    0.11780E+00         0.42436E-05    0.11784E+00
  7   7          -0.47002E-02   -0.32247E-02        -0.46773E-02   -0.32095E-02
  7  -7           0.47002E-02   -0.32247E-02         0.46773E-02   -0.32095E-02
  7   1           0.51584E-02   -0.35463E-02         0.51444E-02   -0.35370E-02
  7  -1          -0.51584E-02   -0.35463E-02        -0.51444E-02   -0.35370E-02
  7   2           0.24198E-05   -0.12873E+00         0.24105E-05   -0.12878E+00
  7  -2           0.24198E-05    0.12873E+00         0.24105E-05    0.12878E+00
  7   3          -0.12548E-02   -0.85873E-03        -0.12390E-02   -0.84835E-03
  7  -3           0.12548E-02   -0.85873E-03         0.12390E-02   -0.84835E-03
  7   4           0.24426E-02   -0.36118E-03         0.24431E-02   -0.36207E-03
  7  -4           0.24426E-02    0.36118E-03         0.24431E-02    0.36207E-03
  7   5          -0.27215E-02    0.18617E-02        -0.27404E-02    0.18744E-02
  7  -5           0.27215E-02    0.18617E-02         0.27404E-02    0.18744E-02
  7   6           0.43108E-05   -0.11780E+00         0.42436E-05   -0.11784E+00
  7  -6           0.43108E-05    0.11780E+00         0.42436E-05    0.11784E+00
  7   7          -0.47002E-02   -0.32247E-02        -0.46773E-02   -0.32095E-02
  7  -7           0.47002E-02   -0.32247E-02         0.46773E-02   -0.32095E-02
  8   0           0.52642E-01    0.00000E+00         0.56887E-01   -0.10694E-14
  8   1           0.59093E-03   -0.93583E-03         0.52886E-03   -0.83506E-03
  8  -1          -0.59093E-03   -0.93583E-03        -0.52886E-03   -0.83506E-03
  8   2           0.10441E-03    0.31323E-02         0.11464E-03    0.34713E-02
  8  -2           0.10441E-03   -0.31323E-02         0.11464E-03   -0.34713E-02
  8   3          -0.88121E-03   -0.12354E-02        -0.11223E-02   -0.16026E-02
  8  -3           0.88121E-03   -0.12354E-02         0.11223E-02   -0.16026E-02
  8   4           0.19352E-01    0.86412E-05         0.20944E-01    0.86870E-05
  8  -4           0.19352E-01   -0.86412E-05         0.20944E-01   -0.86870E-05
  8   5          -0.56801E-02    0.85186E-02        -0.61404E-02    0.92034E-02
  8  -5           0.56801E-02    0.85186E-02         0.61404E-02    0.92034E-02
  8   6           0.32656E-03   -0.14342E-02         0.33088E-03   -0.14899E-02
  8  -6           0.32656E-03    0.14342E-02         0.33088E-03    0.14899E-02
  8   7          -0.33965E-02   -0.50344E-02        -0.38739E-02   -0.57563E-02
  8  -7           0.33965E-02   -0.50344E-02         0.38739E-02   -0.57563E-02
  8   8           0.29792E-01   -0.13932E-05         0.32206E-01   -0.21262E-05
  8  -8           0.29792E-01    0.13932E-05         0.32206E-01    0.21262E-05
  8   1           0.59093E-03   -0.93583E-03         0.52886E-03   -0.83506E-03
  8  -1          -0.59093E-03   -0.93583E-03        -0.52886E-03   -0.83506E-03
  8   2           0.10441E-03    0.31323E-02         0.11464E-03    0.34713E-02
  8  -2           0.10441E-03   -0.31323E-02         0.11464E-03   -0.34713E-02
  8   3          -0.88121E-03   -0.12354E-02        -0.11223E-02   -0.16026E-02
  8  -3           0.88121E-03   -0.12354E-02         0.11223E-02   -0.16026E-02
  8   4           0.19352E-01    0.86412E-05         0.20944E-01    0.86870E-05
  8  -4           0.19352E-01   -0.86412E-05         0.20944E-01   -0.86870E-05
  8   5          -0.56801E-02    0.85186E-02        -0.61404E-02    0.92034E-02
  8  -5           0.56801E-02    0.85186E-02         0.61404E-02    0.92034E-02
  8   6           0.32656E-03   -0.14342E-02         0.33088E-03   -0.14899E-02
  8  -6           0.32656E-03    0.14342E-02         0.33088E-03    0.14899E-02
  8   7          -0.33965E-02   -0.50344E-02        -0.38739E-02   -0.57563E-02
  8  -7           0.33965E-02   -0.50344E-02         0.38739E-02   -0.57563E-02
  8   8           0.29792E-01   -0.13932E-05         0.32206E-01   -0.21262E-05
  8  -8           0.29792E-01    0.13932E-05         0.32206E-01    0.21262E-05

          multipole moments for atom type=    2

  l   m                   original                      plane wave
  0   0          -0.52203E+00    0.00000E+00         0.77848E+00   -0.10245E-14
  1   0          -0.16734E-02    0.00000E+00        -0.14127E-02    0.83686E-16
  1   1           0.49363E-02   -0.31538E-02         0.40563E-02   -0.25988E-02
  1  -1          -0.49363E-02   -0.31538E-02        -0.40563E-02   -0.25988E-02
  1   1           0.49363E-02   -0.31538E-02         0.40563E-02   -0.25988E-02
  1  -1          -0.49363E-02   -0.31538E-02        -0.40563E-02   -0.25988E-02
  2   0           0.52203E-03    0.00000E+00         0.49874E-03    0.12349E-16
  2   1           0.12346E-01   -0.18690E-01         0.11743E-01   -0.17751E-01
  2  -1          -0.12346E-01   -0.18690E-01        -0.11743E-01   -0.17751E-01
  2   2          -0.29035E-03    0.58685E-02        -0.27749E-03    0.56344E-02
  2  -2          -0.29035E-03   -0.58685E-02        -0.27749E-03   -0.56344E-02
  2   1           0.12346E-01   -0.18690E-01         0.11743E-01   -0.17751E-01
  2  -1          -0.12346E-01   -0.18690E-01        -0.11743E-01   -0.17751E-01
  2   2          -0.29035E-03    0.58685E-02        -0.27749E-03    0.56344E-02
  2  -2          -0.29035E-03   -0.58685E-02        -0.27749E-03   -0.56344E-02
  3   0           0.84952E-02    0.00000E+00         0.82483E-02   -0.46835E-15
  3   1           0.10736E-01   -0.72030E-02         0.10357E-01   -0.69547E-02
  3  -1          -0.10736E-01   -0.72030E-02        -0.10357E-01   -0.69547E-02
  3   2           0.55912E-05   -0.46967E+00         0.47831E-05   -0.46256E+00
  3  -2           0.55912E-05    0.46967E+00         0.47831E-05    0.46256E+00
  3   3          -0.13842E-01   -0.92682E-02        -0.13355E-01   -0.89520E-02
  3  -3           0.13842E-01   -0.92682E-02         0.13355E-01   -0.89520E-02
  3   1           0.10736E-01   -0.72030E-02         0.10357E-01   -0.69547E-02
  3  -1          -0.10736E-01   -0.72030E-02        -0.10357E-01   -0.69547E-02
  3   2           0.55912E-05   -0.46967E+00         0.47831E-05   -0.46256E+00
  3  -2           0.55912E-05    0.46967E+00         0.47831E-05    0.46256E+00
  3   3          -0.13842E-01   -0.92682E-02        -0.13355E-01   -0.89520E-02
  3  -3           0.13842E-01   -0.92682E-02         0.13355E-01   -0.89520E-02
  4   0          -0.27309E+00    0.00000E+00        -0.26912E+00    0.25920E-14
  4   1           0.34671E-03   -0.37970E-03         0.41296E-03   -0.48733E-03
  4  -1          -0.34671E-03   -0.37970E-03        -0.41296E-03   -0.48733E-03
  4   2          -0.31491E-03   -0.10925E-02        -0.30580E-03   -0.11522E-02
  4  -2          -0.31491E-03    0.10925E-02        -0.30580E-03    0.11522E-02
  4   3           0.83822E-03    0.96040E-03         0.10181E-02    0.12477E-02
  4  -3          -0.83822E-03    0.96040E-03        -0.10181E-02    0.12477E-02
  4   4          -0.16268E+00   -0.85624E-05        -0.16032E+00   -0.80561E-05
  4  -4          -0.16268E+00    0.85624E-05        -0.16032E+00    0.80561E-05
  4   1           0.34671E-03   -0.37970E-03         0.41296E-03   -0.48733E-03
  4  -1          -0.34671E-03   -0.37970E-03        -0.41296E-03   -0.48733E-03
  4   2          -0.31491E-03   -0.10925E-02        -0.30580E-03   -0.11522E-02
  4  -2          -0.31491E-03    0.10925E-02        -0.30580E-03    0.11522E-02
  4   3           0.83822E-03    0.96040E-03         0.10181E-02    0.12477E-02
  4  -3          -0.83822E-03    0.96040E-03        -0.10181E-02    0.12477E-02
  4   4          -0.16268E+00   -0.85624E-05        -0.16032E+00   -0.80561E-05
  4  -4          -0.16268E+00    0.85624E-05        -0.16032E+00    0.80561E-05
  5   0          -0.53229E-02    0.00000E+00        -0.52640E-02   -0.23592E-14
  5   1          -0.43744E-02    0.27155E-02        -0.42150E-02    0.26121E-02
  5  -1           0.43744E-02    0.27155E-02         0.42150E-02    0.26121E-02
  5   2          -0.77891E-05   -0.61502E-03        -0.76563E-05   -0.60117E-03
  5  -2          -0.77891E-05    0.61502E-03        -0.76563E-05    0.60117E-03
  5   3          -0.17820E-01   -0.11793E-01        -0.17488E-01   -0.11572E-01
  5  -3           0.17820E-01   -0.11793E-01         0.17488E-01   -0.11572E-01
  5   4           0.46737E-02    0.48354E-03         0.45594E-02    0.47257E-03
  5  -4           0.46737E-02   -0.48354E-03         0.45594E-02   -0.47257E-03
  5   5           0.37237E-02   -0.26169E-02         0.37297E-02   -0.26183E-02
  5  -5          -0.37237E-02   -0.26169E-02        -0.37297E-02   -0.26183E-02
  5   1          -0.43744E-02    0.27155E-02        -0.42150E-02    0.26121E-02
  5  -1           0.43744E-02    0.27155E-02         0.42150E-02    0.26121E-02
  5   2          -0.77891E-05   -0.61502E-03        -0.76563E-05   -0.60117E-03
  5  -2          -0.77891E-05    0.61502E-03        -0.76563E-05    0.60117E-03
  5   3          -0.17820E-01   -0.11793E-01        -0.17488E-01   -0.11572E-01
  5  -3           0.17820E-01   -0.11793E-01         0.17488E-01   -0.11572E-01
  5   4           0.46737E-02    0.48354E-03         0.45594E-02    0.47257E-03
  5  -4           0.46737E-02   -0.48354E-03         0.45594E-02   -0.47257E-03
  5   5           0.37237E-02   -0.26169E-02         0.37297E-02   -0.26183E-02
  5  -5          -0.37237E-02   -0.26169E-02        -0.37297E-02   -0.26183E-02
  6   0           0.10281E+00    0.00000E+00         0.10175E+00    0.23694E-14
  6   1          -0.64039E-02    0.97176E-02        -0.63488E-02    0.96356E-02
  6  -1           0.64039E-02    0.97176E-02         0.63488E-02    0.96356E-02
  6   2           0.11860E-03   -0.60791E-02         0.11752E-03   -0.60171E-02
  6  -2           0.11860E-03    0.60791E-02         0.11752E-03    0.60171E-02
  6   3          -0.42897E-02   -0.62284E-02        -0.42489E-02   -0.61697E-02
  6  -3           0.42897E-02   -0.62284E-02         0.42489E-02   -0.61697E-02
  6   4          -0.19311E+00   -0.55885E-05        -0.19113E+00   -0.56943E-05
  6  -4          -0.19311E+00    0.55885E-05        -0.19113E+00    0.56943E-05
  6   5          -0.97095E-02    0.14433E-01        -0.96204E-02    0.14304E-01
  6  -5           0.97095E-02    0.14433E-01         0.96204E-02    0.14304E-01
  6   6           0.17553E-03   -0.20772E-02         0.17391E-03   -0.20571E-02
  6  -6           0.17553E-03    0.20772E-02         0.17391E-03    0.20571E-02
  6   1          -0.64039E-02    0.97176E-02        -0.63488E-02    0.96356E-02
  6  -1           0.64039E-02    0.97176E-02         0.63488E-02    0.96356E-02
  6   2           0.11860E-03   -0.60791E-02         0.11752E-03   -0.60171E-02
  6  -2           0.11860E-03    0.60791E-02         0.11752E-03    0.60171E-02
  6   3          -0.42897E-02   -0.62284E-02        -0.42489E-02   -0.61697E-02
  6  -3           0.42897E-02   -0.62284E-02         0.42489E-02   -0.61697E-02
  6   4          -0.19311E+00   -0.55885E-05        -0.19113E+00   -0.56943E-05
  6  -4          -0.19311E+00    0.55885E-05        -0.19113E+00    0.56943E-05
  6   5          -0.97095E-02    0.14433E-01        -0.96204E-02    0.14304E-01
  6  -5           0.97095E-02    0.14433E-01         0.96204E-02    0.14304E-01
  6   6           0.17553E-03   -0.20772E-02         0.17391E-03   -0.20571E-02
  6  -6           0.17553E-03    0.20772E-02         0.17391E-03    0.20571E-02
  7   0          -0.24634E-02    0.00000E+00        -0.24470E-02   -0.37771E-15
  7   1          -0.51588E-02    0.35464E-02        -0.51448E-02    0.35370E-02
  7  -1           0.51588E-02    0.35464E-02         0.51448E-02    0.35370E-02
  7   2          -0.24077E-05    0.12873E+00        -0.23975E-05    0.12878E+00
  7  -2          -0.24077E-05   -0.12873E+00        -0.23975E-05   -0.12878E+00
  7   3           0.12555E-02    0.85878E-03         0.12398E-02    0.84840E-03
  7  -3          -0.12555E-02    0.85878E-03        -0.12398E-02    0.84840E-03
  7   4          -0.24427E-02    0.36109E-03        -0.24432E-02    0.36198E-03
  7  -4          -0.24427E-02   -0.36109E-03        -0.24432E-02   -0.36198E-03
  7   5           0.27233E-02   -0.18617E-02         0.27423E-02   -0.18744E-02
  7  -5          -0.27233E-02   -0.18617E-02        -0.27423E-02   -0.18744E-02
  7   6          -0.43803E-05    0.11780E+00        -0.43125E-05    0.11784E+00
  7  -6          -0.43803E-05   -0.11780E+00        -0.43125E-05   -0.11784E+00
  7   7           0.47002E-02    0.32245E-02         0.46773E-02    0.32093E-02
  7  -7          -0.47002E-02    0.32245E-02        -0.46773E-02    0.32093E-02
  7   1          -0.51588E-02    0.35464E-02        -0.51448E-02    0.35370E-02
  7  -1           0.51588E-02    0.35464E-02         0.51448E-02    0.35370E-02
  7   2          -0.24077E-05    0.12873E+00        -0.23975E-05    0.12878E+00
  7  -2          -0.24077E-05   -0.12873E+00        -0.23975E-05   -0.12878E+00
  7   3           0.12555E-02    0.85878E-03         0.12398E-02    0.84840E-03
  7  -3          -0.12555E-02    0.85878E-03        -0.12398E-02    0.84840E-03
  7   4          -0.24427E-02    0.36109E-03        -0.24432E-02    0.36198E-03
  7  -4          -0.24427E-02   -0.36109E-03        -0.24432E-02   -0.36198E-03
  7   5           0.27233E-02   -0.18617E-02         0.27423E-02   -0.18744E-02
  7  -5          -0.27233E-02   -0.18617E-02        -0.27423E-02   -0.18744E-02
  7   6          -0.43803E-05    0.11780E+00        -0.43125E-05    0.11784E+00
  7  -6          -0.43803E-05   -0.11780E+00        -0.43125E-05   -0.11784E+00
  7   7           0.47002E-02    0.32245E-02         0.46773E-02    0.32093E-02
  7  -7          -0.47002E-02    0.32245E-02        -0.46773E-02    0.32093E-02
  8   0           0.52642E-01    0.00000E+00         0.56887E-01   -0.10045E-13
  8   1           0.59091E-03   -0.93639E-03         0.52884E-03   -0.83566E-03
  8  -1          -0.59091E-03   -0.93639E-03        -0.52884E-03   -0.83566E-03
  8   2           0.10447E-03    0.31325E-02         0.11473E-03    0.34716E-02
  8  -2           0.10447E-03   -0.31325E-02         0.11473E-03   -0.34716E-02
  8   3          -0.88123E-03   -0.12358E-02        -0.11223E-02   -0.16031E-02
  8  -3           0.88123E-03   -0.12358E-02         0.11223E-02   -0.16031E-02
  8   4           0.19352E-01    0.87883E-05         0.20944E-01    0.88496E-05
  8  -4           0.19352E-01   -0.87883E-05         0.20944E-01   -0.88496E-05
  8   5          -0.56801E-02    0.85179E-02        -0.61404E-02    0.92027E-02
  8  -5           0.56801E-02    0.85179E-02         0.61404E-02    0.92027E-02
  8   6           0.32691E-03   -0.14344E-02         0.33123E-03   -0.14900E-02
  8  -6           0.32691E-03    0.14344E-02         0.33123E-03    0.14900E-02
  8   7          -0.33965E-02   -0.50330E-02        -0.38739E-02   -0.57549E-02
  8  -7           0.33965E-02   -0.50330E-02         0.38739E-02   -0.57549E-02
  8   8           0.29792E-01   -0.14592E-05         0.32206E-01   -0.21945E-05
  8  -8           0.29792E-01    0.14592E-05         0.32206E-01    0.21945E-05
  8   1           0.59091E-03   -0.93639E-03         0.52884E-03   -0.83566E-03
  8  -1          -0.59091E-03   -0.93639E-03        -0.52884E-03   -0.83566E-03
  8   2           0.10447E-03    0.31325E-02         0.11473E-03    0.34716E-02
  8  -2           0.10447E-03   -0.31325E-02         0.11473E-03   -0.34716E-02
  8   3          -0.88123E-03   -0.12358E-02        -0.11223E-02   -0.16031E-02
  8  -3           0.88123E-03   -0.12358E-02         0.11223E-02   -0.16031E-02
  8   4           0.19352E-01    0.87883E-05         0.20944E-01    0.88496E-05
  8  -4           0.19352E-01   -0.87883E-05         0.20944E-01   -0.88496E-05
  8   5          -0.56801E-02    0.85179E-02        -0.61404E-02    0.92027E-02
  8  -5           0.56801E-02    0.85179E-02         0.61404E-02    0.92027E-02
  8   6           0.32691E-03   -0.14344E-02         0.33123E-03   -0.14900E-02
  8  -6           0.32691E-03    0.14344E-02         0.33123E-03    0.14900E-02
  8   7          -0.33965E-02   -0.50330E-02        -0.38739E-02   -0.57549E-02
  8  -7           0.33965E-02   -0.50330E-02         0.38739E-02   -0.57549E-02
  8   8           0.29792E-01   -0.14592E-05         0.32206E-01   -0.21945E-05
  8  -8           0.29792E-01    0.14592E-05         0.32206E-01    0.21945E-05

          integral of pseudo charge density inside the slab=        0.000000   0.000000

     coulomb potential in the interstitial region:

          density-coulomb potential integrals


          interstitial :                       0.7807210992

          muffin tin spheres :              -845.1833311640

          total density-coulomb potenti     -844.4026100648
 wrtdop title:alpha Si                                                                ordered*

     interstitial potential average (vbar) = -0.027906

 999idsprs in starting of nmtxad= 0

          density-effective potential integrals for spin  1


          interstitial :                      -0.4749448222

          muffin tin spheres :              -897.8378393510

          total density-effective poten     -898.3127841731

          charge density-energy density integrals


          interstitial :                      -0.9795633321

          muffin tin spheres :               -40.7649507803

          total charge density-energy d      -41.7445141124
 vgen: pottot deleted
 wrtdop title:alpha Si                                                                ordered*
 IT=  15  ISEC1=  99 standard diagonalization
  Atom  1 3s branch from -4.72 to  1.07 htr. ; e_l = -0.1341
  Atom  1 3p branch from -3.11 to  1.55 htr. ; e_l =  0.0500
  Atom  1 3d branch from -9.99 to  1.95 htr. ; e_l =  0.2439
  Atom  1 4f branch from -9.99 to  4.11 htr. ; e_l =  0.4116
  Atom  2 3s branch from -4.72 to  1.07 htr. ; e_l = -0.1341
  Atom  2 3p branch from -3.11 to  1.55 htr. ; e_l =  0.0500
  Atom  2 3d branch from -9.99 to  1.95 htr. ; e_l =  0.2439
  Atom  2 4f branch from -9.99 to  4.11 htr. ; e_l =  0.4116


 wavefunction parameters for atom type  1:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.13409        4.7800588E-01  -2.4465366E-01    2       -3.1232929E-01  -7.4530269E-01    2   1.0766710E-01   4.3267158E-01
  1   0.04999       -5.5348712E-01   9.9418242E-02    1        2.6599577E-01   7.3396795E-01    2   7.9521943E-02   4.3268664E-01
  2   0.24387        6.4439219E-01   1.6344256E-01    0       -2.3289853E-01  -7.3053287E-01    1   6.5178938E-02   4.3268414E-01
  3   0.41164        8.3800007E-01   7.5544845E-01    0       -1.2158489E-01  -6.2593055E-01    1   1.3122242E-02   4.3267873E-01
  4   0.41164        9.7736354E-01   1.4626809E+00    0       -8.2132586E-02  -5.6560526E-01    1   4.9166923E-03   4.3266820E-01
  5   0.41164        1.0889890E+00   2.2153832E+00    0       -6.1660944E-02  -5.2273998E-01    1   2.3795468E-03   4.3265549E-01
  6   0.41164        1.1859741E+00   3.0206232E+00    0       -4.8925249E-02  -4.8940792E-01    1   1.3189789E-03   4.3264038E-01
  7   0.41164        1.2734321E+00   3.8786657E+00    0       -4.0219931E-02  -4.6223314E-01    1   7.9808738E-04   4.3262283E-01
  8   0.41164        1.3539864E+00   4.7881050E+00    0       -3.3904804E-02  -4.3940067E-01    1   5.1413446E-04   4.3260278E-01


 wavefunction parameters for atom type  2:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.13409        4.7800588E-01  -2.4465367E-01    2       -3.1232930E-01  -7.4530269E-01    2   1.0766710E-01   4.3267158E-01
  1   0.04999       -5.5348712E-01   9.9418251E-02    1        2.6599578E-01   7.3396795E-01    2   7.9521945E-02   4.3268664E-01
  2   0.24387        6.4439219E-01   1.6344255E-01    0       -2.3289853E-01  -7.3053287E-01    1   6.5178940E-02   4.3268414E-01
  3   0.41164        8.3800006E-01   7.5544844E-01    0       -1.2158489E-01  -6.2593055E-01    1   1.3122243E-02   4.3267873E-01
  4   0.41164        9.7736354E-01   1.4626809E+00    0       -8.2132587E-02  -5.6560526E-01    1   4.9166924E-03   4.3266820E-01
  5   0.41164        1.0889890E+00   2.2153832E+00    0       -6.1660944E-02  -5.2273998E-01    1   2.3795468E-03   4.3265549E-01
  6   0.41164        1.1859741E+00   3.0206232E+00    0       -4.8925250E-02  -4.8940792E-01    1   1.3189789E-03   4.3264038E-01
  7   0.41164        1.2734321E+00   3.8786657E+00    0       -4.0219931E-02  -4.6223314E-01    1   7.9808738E-04   4.3262283E-01
  8   0.41164        1.3539864E+00   4.7881050E+00    0       -3.3904804E-02  -4.3940067E-01    1   5.1413446E-04   4.3260278E-01


 k=(    0.444444    0.444444    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.153280   -0.031293    0.159306    0.163882    0.258587
         0.324574    0.329870    0.487745


 k=(    0.333333    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155807   -0.016636    0.134401    0.147133    0.282764
         0.327031    0.355424    0.456842


 k=(    0.222222    0.444444    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149604   -0.001541    0.095572    0.126844    0.263607
         0.363102    0.395648    0.410692


 k=(    0.111111    0.444444    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133882   -0.013596    0.094257    0.110453    0.240047
         0.284585    0.479228    0.481202


 k=(    0.000000    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.109044   -0.046474    0.102274    0.107596    0.228001
         0.244450    0.544473    0.545265


 k=(   -0.111111    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.085594   -0.069896    0.085730    0.103582    0.233510
         0.270559    0.542643    0.551618


 k=(    0.222222    0.555556    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107770   -0.042866    0.061525    0.114177    0.246329
         0.342994    0.468496    0.471697


 k=(    0.333333    0.555556    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128235   -0.032822    0.076669    0.132190    0.268738
         0.386840    0.397743    0.434831


 k=(    0.555556    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143573   -0.035778    0.125162    0.151858    0.282834
         0.327785    0.346526    0.501226


 k=(    0.444444    0.333333    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155848   -0.016444    0.132471    0.148931    0.283239
         0.328016    0.353720    0.455743


 k=(    0.333333    0.333333    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165140   -0.000120    0.121288    0.166961    0.290187
         0.336918    0.339240    0.476509


 k=(    0.222222    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164629    0.017667    0.096393    0.146835    0.304000
         0.336244    0.384323    0.403148


 k=(    0.111111    0.333333    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153777    0.012629    0.094953    0.119002    0.273270
         0.310800    0.402721    0.466475


 k=(    0.000000    0.333333    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132897   -0.016358    0.090604    0.115990    0.245257
         0.279235    0.479960    0.483708


 k=(   -0.111111    0.333333    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104154   -0.048509    0.083709    0.094294    0.265639
         0.279963    0.470633    0.535967


 k=(   -0.222222    0.333333    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.090022   -0.059316    0.061330    0.092609    0.277041
         0.343700    0.449012    0.458083


 k=(    0.666667    0.333333    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114369   -0.035890    0.057317    0.109589    0.294950
         0.369553    0.431858    0.447727


 k=(    0.555556    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138135   -0.025713    0.090673    0.132751    0.308919
         0.319094    0.402803    0.446686


 k=(    0.444444    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149664   -0.001050    0.093756    0.128137    0.264890
         0.361787    0.395654    0.409422


 k=(    0.333333    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164637    0.017880    0.095589    0.147519    0.304347
         0.337081    0.383680    0.401195


 k=(    0.222222    0.222222    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169430    0.026843    0.085213    0.166317    0.303689
         0.364729    0.374785    0.419056


 k=(    0.111111    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163615    0.011823    0.100896    0.146666    0.310878
         0.335967    0.378024    0.407317


 k=(    0.000000    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147500   -0.009116    0.094899    0.132985    0.270626
         0.356049    0.397572    0.412258


 k=(   -0.111111    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122437   -0.030788    0.069179    0.113230    0.291024
         0.346659    0.390282    0.479096


 k=(   -0.222222    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.093423   -0.055017    0.059246    0.085568    0.343711
         0.355316    0.374634    0.436209


 k=(    0.666667    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.097547   -0.048784    0.061523    0.080911    0.346072
         0.350041    0.373358    0.440554


 k=(    0.555556    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125937   -0.022156    0.070718    0.105886    0.286354
         0.351668    0.385263    0.480628


 k=(    0.444444    0.111111    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133913   -0.013404    0.092962    0.111508    0.241158
         0.283572    0.478323    0.480871


 k=(    0.333333    0.111111    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153753    0.012445    0.095195    0.118980    0.273444
         0.310524    0.402767    0.466291


 k=(    0.222222    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163587    0.011512    0.101809    0.146042    0.310476
         0.335206    0.378640    0.409064


 k=(    0.111111    0.111111    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163011   -0.008656    0.128772    0.164607    0.292702
         0.338562    0.348910    0.472761


 k=(    0.000000    0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152470   -0.026481    0.133393    0.154507    0.287827
         0.333143    0.355790    0.449996


 k=(   -0.111111    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133329   -0.037373    0.089779    0.141346    0.310583
         0.328710    0.400404    0.440718


 k=(   -0.222222    0.111111    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108135   -0.047597    0.056391    0.116496    0.300711
         0.373507    0.424562    0.444467


 k=(    0.666667    0.111111    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.083651   -0.066855    0.057418    0.097685    0.282997
         0.337841    0.447238    0.458981


 k=(    0.555556    0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105951   -0.045297    0.084656    0.091510    0.267532
         0.278610    0.465143    0.535450


 k=(    0.444444    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.108899   -0.046773    0.103235    0.106873    0.228438
         0.243916    0.544599    0.545104


 k=(    0.333333    0.000000    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132760   -0.016957    0.092067    0.115205    0.244238
         0.279979    0.479889    0.485021


 k=(    0.222222    0.000000    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147393   -0.009745    0.096561    0.132041    0.269259
         0.357131    0.397360    0.413956


 k=(    0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152410   -0.026706    0.134675    0.153442    0.287354
         0.331573    0.358003    0.451120


 k=(    0.000000    0.000000    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.148642   -0.042575    0.160062    0.169132    0.262150
         0.326410    0.337164    0.491927


 k=(   -0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137974   -0.048174    0.125660    0.158291    0.287067
         0.332373    0.348737    0.505690


 k=(    0.222222    0.000000    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122505   -0.045135    0.077910    0.137676    0.274764
         0.388984    0.399608    0.428465


 k=(    0.333333    0.000000    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.102677   -0.051272    0.059867    0.119117    0.252256
         0.337270    0.468608    0.474212


 k=(    0.555556    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.078474   -0.077363    0.081258    0.108248    0.239502
         0.264779    0.538562    0.551413


 k=(    0.444444   -0.111111    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.084109   -0.071571    0.084954    0.104556    0.234726
         0.269327    0.541743    0.551730


 k=(    0.333333   -0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103600   -0.049506    0.084206    0.094377    0.265845
         0.279578    0.471764    0.536105


 k=(    0.222222   -0.111111    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122129   -0.031676    0.069958    0.113224    0.289558
         0.347963    0.391349    0.479274


 k=(    0.111111   -0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133163   -0.037753    0.089737    0.141735    0.309839
         0.329372    0.400208    0.441880


 k=(    0.000000   -0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137915   -0.048240    0.124477    0.159654    0.287522
         0.333934    0.346263    0.505543


 k=(    0.111111    0.111111    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.138153   -0.047979    0.130465    0.152824    0.285868
         0.330286    0.353447    0.506323


 k=(    0.222222    0.111111    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133849   -0.036787    0.095366    0.134739    0.313951
         0.321067    0.407414    0.441289


 k=(    0.333333    0.111111    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123242   -0.029372    0.072701    0.108563    0.290730
         0.347842    0.386361    0.483788


 k=(    0.444444    0.111111    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105166   -0.046751    0.084807    0.092220    0.266954
         0.278934    0.467494    0.535857


 k=(    0.555556    0.222222    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107504   -0.043139    0.060397    0.115273    0.247610
         0.341744    0.466893    0.471877


 k=(    0.333333   -0.222222    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.088828   -0.060830    0.060608    0.093662    0.278259
         0.342445    0.448234    0.458743


 k=(    0.222222   -0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.092355   -0.056556    0.059054    0.086289    0.344310
         0.355083    0.375080    0.435353


 k=(    0.111111   -0.222222    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.107761   -0.048133    0.055891    0.117151    0.302189
         0.371762    0.424121    0.444565


 k=(    0.000000    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122418   -0.045102    0.076694    0.138745    0.276222
         0.388455    0.397627    0.428199


 k=(    0.111111    0.222222    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133844   -0.036652    0.093967    0.136107    0.313706
         0.322507    0.405715    0.440282


 k=(    0.222222    0.222222    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139156   -0.021638    0.074186    0.147350    0.284874
         0.388294    0.391059    0.464109


 k=(    0.333333    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136452   -0.012567    0.062918    0.127526    0.315591
         0.353309    0.384294    0.457796


 k=(    0.444444    0.222222    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125404   -0.023438    0.069405    0.108331    0.285807
         0.351643    0.387931    0.477879


 k=(    0.555556    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128116   -0.032855    0.075274    0.133560    0.270061
         0.385933    0.396245    0.434509


 k=(    0.333333    0.666667    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114055   -0.036412    0.056700    0.110434    0.296334
         0.367917    0.431056    0.448197


 k=(    0.222222    0.666667    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.096830   -0.049910    0.060978    0.081911    0.344986
         0.351752    0.373606    0.439645


 k=(    0.111111    0.666667    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.082090   -0.068550    0.056669    0.098526    0.284299
         0.336622    0.447320    0.458708


 k=(    0.000000    0.333333    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.102599   -0.051145    0.058677    0.119961    0.253650
         0.336088    0.467520    0.473761


 k=(    0.111111    0.333333    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123269   -0.029057    0.071175    0.109777    0.291967
         0.346539    0.386542    0.482353


 k=(    0.222222    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136471   -0.012477    0.062848    0.127497    0.315710
         0.352931    0.384607    0.458046


 k=(    0.333333    0.333333    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141151   -0.014450    0.068537    0.148211    0.285077
         0.382633    0.384140    0.470155


 k=(    0.444444    0.333333    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137818   -0.026205    0.087742    0.136429    0.306868
         0.323337    0.398963    0.446858


 k=(    0.444444    0.555556    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143519   -0.035838    0.123536    0.153718    0.283274
         0.328614    0.344756    0.501150


 k=(    0.333333    0.555556    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138010   -0.026039    0.090513    0.133232    0.307766
         0.320180    0.402669    0.447782


 k=(    0.222222    0.555556    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125739   -0.022825    0.071412    0.105803    0.284926
         0.353161    0.386201    0.480745


 k=(    0.111111    0.555556    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105703   -0.045728    0.084051    0.092346    0.266685
         0.279404    0.466263    0.535482


 k=(    0.000000    0.555556    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.079463   -0.076274    0.080299    0.108986    0.240824
         0.263607    0.537596    0.551238


 k=(    0.111111    0.444444    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105311   -0.046454    0.084192    0.092632    0.266418
         0.279550    0.467439    0.535665


 k=(    0.222222    0.444444    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125473   -0.023463    0.070731    0.107041    0.284672
         0.353135    0.387540    0.479334


 k=(    0.333333    0.444444    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137851   -0.026285    0.089041    0.135067    0.306831
         0.322233    0.400715    0.447878


 k=(    0.444444    0.444444    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143466   -0.035899    0.122144    0.155322    0.283736
         0.329990    0.342428    0.501109


 k=(    0.444444    0.444444    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155892   -0.016240    0.130911    0.150326    0.283726
         0.329357    0.351648    0.454679


 k=(    0.333333    0.444444    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165242    0.000192    0.122443    0.165163    0.289830
         0.335665    0.341500    0.475885


 k=(    0.222222    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164788    0.018348    0.097308    0.144991    0.304808
         0.334404    0.384424    0.404723


 k=(    0.111111    0.444444    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154000    0.013880    0.094611    0.118036    0.273641
         0.310805    0.401369    0.466704


 k=(    0.000000    0.444444    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133200   -0.015303    0.089611    0.116052    0.245471
         0.279251    0.479041    0.482459


 k=(   -0.111111    0.444444    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104551   -0.047804    0.083595    0.094014    0.265900
         0.279803    0.469520    0.535942


 k=(   -0.222222    0.444444    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.089973   -0.059387    0.061361    0.092607    0.277035
         0.343677    0.449398    0.457782


 k=(    0.666667    0.444444    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114248   -0.036042    0.056784    0.110244    0.294847
         0.370480    0.432309    0.446762


 k=(    0.555556    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138107   -0.025617    0.089279    0.134173    0.308806
         0.320382    0.400949    0.445762


 k=(    0.444444    0.333333    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165343    0.000488    0.123798    0.163160    0.289509
         0.335413    0.342741    0.475631


 k=(    0.333333    0.333333    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.179955    0.017494    0.165430    0.170026    0.265770
         0.329473    0.334653    0.490746


 k=(    0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184128    0.039434    0.149050    0.150888    0.287487
         0.330615    0.364860    0.405025


 k=(    0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177346    0.049581    0.122922    0.130338    0.258633
         0.324892    0.404632    0.417088


 k=(    0.000000    0.333333    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159802    0.022411    0.115980    0.121805    0.233467
         0.280593    0.469580    0.469776


 k=(   -0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133000   -0.016614    0.097150    0.110278    0.239474
         0.284374    0.480995    0.485834


 k=(   -0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.105505   -0.047359    0.064120    0.113990    0.246102
         0.342963    0.472600    0.473835


 k=(    0.666667    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.113788   -0.036122    0.048697    0.126521    0.260438
         0.422336    0.445171    0.458716


 k=(    0.555556    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141791   -0.012877    0.070034    0.145328    0.282338
         0.384274    0.386877    0.469621


 k=(    0.444444    0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164954    0.019223    0.097526    0.143721    0.306107
         0.333273    0.383823    0.404408


 k=(    0.333333    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184173    0.039813    0.147100    0.152355    0.287879
         0.331819    0.363324    0.403749


 k=(    0.222222    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192884    0.061210    0.130109    0.182530    0.301669
         0.331814    0.343424    0.428950


 k=(    0.111111    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190425    0.068445    0.120694    0.162155    0.293323
         0.343531    0.367199    0.388893


 k=(    0.000000    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176847    0.045023    0.121117    0.136666    0.261649
         0.321076    0.406677    0.419208


 k=(   -0.111111    0.222222    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153114    0.009247    0.094915    0.122634    0.272164
         0.310652    0.406595    0.466407


 k=(   -0.222222    0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123458   -0.029092    0.073796    0.107952    0.284146
         0.353731    0.389930    0.482812


 k=(    0.666667    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.112090   -0.040960    0.059641    0.110144    0.294606
         0.374914    0.427905    0.446673


 k=(    0.555556    0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137459   -0.009255    0.062825    0.124924    0.312878
         0.354257    0.384567    0.458718


 k=(    0.444444    0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154198    0.014942    0.094667    0.116882    0.274210
         0.310538    0.400055    0.466812


 k=(    0.333333    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177389    0.050157    0.120952    0.131627    0.259417
         0.324342    0.404276    0.416168


 k=(    0.222222    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190419    0.068308    0.120821    0.162226    0.293366
         0.343601    0.366988    0.388700


 k=(    0.111111    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192328    0.054805    0.136638    0.180968    0.304775
         0.338634    0.343311    0.424773


 k=(    0.000000    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183023    0.031759    0.148599    0.157987    0.292631
         0.335467    0.365892    0.398123


 k=(   -0.111111    0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163130    0.010042    0.097844    0.152275    0.307976
         0.341568    0.378026    0.402932


 k=(   -0.222222    0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134954   -0.016978    0.062470    0.131468    0.319248
         0.351893    0.384171    0.457563


 k=(   -0.333333    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110399   -0.043525    0.056505    0.114243    0.301356
         0.366967    0.425534    0.447141


 k=(    0.555556    0.111111    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.124659   -0.025411    0.070247    0.108238    0.291132
         0.347244    0.384765    0.481651


 k=(    0.444444    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133365   -0.014866    0.090096    0.115324    0.244656
         0.280031    0.477997    0.482593


 k=(    0.333333    0.000000    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159777    0.022183    0.117037    0.121039    0.233610
         0.280342    0.469421    0.469774


 k=(    0.222222    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176778    0.044154    0.123013    0.135868    0.261023
         0.321240    0.406709    0.420386


 k=(    0.111111    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182968    0.031328    0.149454    0.157749    0.292275
         0.333798    0.367735    0.399377


 k=(    0.000000    0.000000    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178115    0.008604    0.166629    0.175732    0.269637
         0.331314    0.341725    0.491544


 k=(   -0.111111    0.000000    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162683   -0.009542    0.124821    0.170477    0.293524
         0.337840    0.346801    0.472836


 k=(   -0.222222    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138136   -0.023823    0.071682    0.151758    0.288538
         0.384208    0.389057    0.464700


 k=(   -0.333333    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.109295   -0.044115    0.046715    0.132230    0.266722
         0.415435    0.438916    0.463376


 k=(    0.555556    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104479   -0.047959    0.058123    0.119249    0.252409
         0.337213    0.465623    0.473207


 k=(    0.444444   -0.111111    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104399   -0.048105    0.084091    0.093719    0.266397
         0.279225    0.469580    0.536137


 k=(    0.333333   -0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132729   -0.017453    0.096829    0.111275    0.240381
         0.283324    0.481175    0.486571


 k=(    0.222222   -0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152865    0.007938    0.095382    0.123557    0.271986
         0.310365    0.407913    0.466322


 k=(    0.111111   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162937    0.009100    0.097909    0.153348    0.306887
         0.342393    0.378607    0.403296


 k=(    0.000000   -0.111111    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162570   -0.009867    0.123863    0.172065    0.293887
         0.337997    0.345646    0.473876


 k=(   -0.111111   -0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152246   -0.027307    0.140467    0.148116    0.286032
         0.328672    0.362720    0.454685


 k=(   -0.222222   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133385   -0.037816    0.094804    0.136256    0.310380
         0.324328    0.406609    0.445201


 k=(   -0.333333   -0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108583   -0.047209    0.058487    0.114140    0.301113
         0.370239    0.422497    0.447633


 k=(    0.555556   -0.111111    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.083395   -0.067170    0.057490    0.097690    0.282977
         0.337792    0.448018    0.458424


 k=(    0.444444   -0.222222    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.088684   -0.061033    0.060688    0.093661    0.278242
         0.342388    0.449161    0.458042


 k=(    0.333333   -0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104363   -0.049256    0.063857    0.115020    0.247307
         0.341734    0.472433    0.474597


 k=(    0.222222   -0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122674   -0.030973    0.073576    0.109420    0.285130
         0.352538    0.391039    0.482510


 k=(    0.111111   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134411   -0.018594    0.062594    0.132594    0.320794
         0.351366    0.383891    0.457177


 k=(    0.000000   -0.222222    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.137785   -0.024605    0.071064    0.152979    0.290016
         0.382936    0.388094    0.465350


 k=(   -0.111111   -0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133214   -0.038061    0.093392    0.137983    0.309634
         0.326188    0.404725    0.445343


 k=(   -0.222222   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122824   -0.045128    0.082077    0.133679    0.271007
         0.391012    0.403928    0.430089


 k=(    0.333333    0.222222    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109667   -0.045664    0.060485    0.111616    0.297233
         0.374787    0.423395    0.448088


 k=(    0.444444    0.222222    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.095829   -0.051523    0.060923    0.082662    0.346738
         0.350135    0.374228    0.438978


 k=(    0.444444    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113798   -0.036747    0.055686    0.111721    0.296094
         0.369752    0.431889    0.446563


 k=(    0.333333    0.666667    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.112913   -0.037785    0.048356    0.127706    0.261714
         0.420651    0.443800    0.459536


 k=(    0.222222    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110824   -0.043344    0.059440    0.111560    0.295810
         0.375747    0.426169    0.446189


 k=(    0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109068   -0.045931    0.056431    0.115460    0.302661
         0.367683    0.424100    0.446359


 k=(    0.000000   -0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.108326   -0.045730    0.046400    0.133159    0.268135
         0.414053    0.437542    0.465294


 k=(   -0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108125   -0.047793    0.057406    0.115404    0.302548
         0.369340    0.422580    0.446584


 k=(    0.222222    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109580   -0.045713    0.059889    0.112240    0.297179
         0.375650    0.423878    0.446952


 k=(    0.333333    0.333333    0.666667):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.112016   -0.039462    0.048082    0.128773    0.263092
         0.418865    0.442330    0.460886


 k=(    0.444444    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113481   -0.037276    0.055159    0.112464    0.297568
         0.368012    0.430947    0.447254


 k=(    0.444444    0.555556    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137948   -0.025862    0.087824    0.136011    0.307740
         0.322522    0.399064    0.445837


 k=(    0.333333    0.555556    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141473   -0.013650    0.069227    0.146837    0.283645
         0.383206    0.385806    0.469673


 k=(    0.222222    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136978   -0.010819    0.062755    0.126258    0.314234
         0.353536    0.384705    0.458491


 k=(    0.111111    0.555556    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123985   -0.027071    0.069940    0.109631    0.292162
         0.346217    0.385761    0.481285


 k=(    0.000000    0.555556    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103528   -0.049458    0.057802    0.120028    0.253727
         0.336051    0.465992    0.473313


 k=(   -0.111111    0.555556    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.081969   -0.068693    0.056696    0.098529    0.284291
         0.336604    0.447606    0.458506


 k=(    0.222222    0.444444    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.095971   -0.051269    0.060717    0.082731    0.345462
         0.351663    0.374045    0.438830


 k=(    0.333333    0.444444    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113617   -0.037092    0.055643    0.111830    0.297708
         0.367101    0.430570    0.447921


 k=(    0.555556    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128005   -0.032871    0.073974    0.134789    0.271486
         0.385174    0.394438    0.434305


 k=(    0.444444    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149732   -0.000503    0.092026    0.129261    0.266251
         0.360339    0.396090    0.407818


 k=(    0.333333    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164808    0.018814    0.095613    0.146384    0.305534
         0.336027    0.383081    0.400937


 k=(    0.222222    0.444444    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169704    0.028586    0.084911    0.164768    0.302281
         0.366318    0.374107    0.419601


 k=(    0.111111    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164006    0.013941    0.099870    0.145729    0.310660
         0.335164    0.378561    0.405937


 k=(    0.000000    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148038   -0.006921    0.092898    0.133194    0.270733
         0.356016    0.397208    0.410330


 k=(   -0.111111    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123161   -0.028840    0.068015    0.113078    0.291177
         0.346343    0.389545    0.477969


 k=(   -0.222222    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.094307   -0.053729    0.059536    0.084838    0.343380
         0.355081    0.374331    0.437167


 k=(    0.666667    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.097470   -0.048929    0.061661    0.080857    0.347690
         0.348287    0.373449    0.440649


 k=(    0.555556    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125887   -0.022064    0.069313    0.107181    0.287586
         0.350079    0.385664    0.479192


 k=(    0.444444    0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164966    0.019476    0.096628    0.144437    0.306486
         0.334059    0.383132    0.402566


 k=(    0.333333    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184219    0.040227    0.145712    0.153207    0.288263
         0.333302    0.361515    0.402508


 k=(    0.222222    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192966    0.061926    0.130829    0.180542    0.301380
         0.333594    0.342430    0.428559


 k=(    0.111111    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190546    0.070183    0.120219    0.160521    0.293742
         0.343035    0.366536    0.389174


 k=(    0.000000    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177015    0.046835    0.119018    0.136786    0.261857
         0.321398    0.405911    0.417654


 k=(   -0.111111    0.333333    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153340    0.010430    0.094539    0.121784    0.272506
         0.310660    0.405298    0.466395


 k=(   -0.222222    0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123731   -0.028499    0.074542    0.106718    0.284370
         0.353727    0.388664    0.484177


 k=(    0.666667    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.112183   -0.040889    0.060245    0.109492    0.294664
         0.374003    0.427398    0.447929


 k=(    0.555556    0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137448   -0.009311    0.062870    0.124941    0.312818
         0.354478    0.384368    0.458581


 k=(    0.444444    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169973    0.030302    0.084740    0.163071    0.301054
         0.367741    0.373548    0.420108


 k=(    0.333333    0.222222    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.193047    0.062591    0.131789    0.178348    0.301176
         0.335912    0.340849    0.428281


 k=(    0.222222    0.222222    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205870    0.086461    0.177001    0.181749    0.279018
         0.328029    0.332508    0.438876


 k=(    0.111111    0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207409    0.108006    0.160523    0.168109    0.285369
         0.332392    0.359311    0.385707


 k=(    0.000000    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197525    0.094416    0.142238    0.149381    0.254361
         0.336380    0.397164    0.398120


 k=(   -0.111111    0.222222    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176849    0.044455    0.128862    0.130134    0.257940
         0.323684    0.407121    0.421692


 k=(   -0.222222    0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148066   -0.007987    0.101580    0.126259    0.263204
         0.362270    0.397650    0.416522


 k=(   -0.333333    0.222222    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.125303   -0.040034    0.081577    0.131545    0.268441
         0.389923    0.403422    0.432844


 k=(    0.555556    0.222222    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.140640   -0.017235    0.073521    0.144831    0.282209
         0.386923    0.391653    0.466432


 k=(    0.444444    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164364    0.015746    0.099891    0.144000    0.310256
         0.333456    0.379711    0.406287


 k=(    0.333333    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190662    0.071768    0.120079    0.158743    0.294273
         0.342522    0.365721    0.389313


 k=(    0.222222    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207432    0.108615    0.161575    0.166256    0.285662
         0.333162    0.358179    0.385018


 k=(    0.111111    0.111111    0.222222):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213043    0.121784    0.157146    0.195707    0.312774
         0.317129    0.322974    0.399145


 k=(    0.000000    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207136    0.100939    0.165595    0.170637    0.287360
         0.334453    0.358971    0.384559


 k=(   -0.111111    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190060    0.064034    0.120845    0.167630    0.291979
         0.343828    0.370072    0.388810


 k=(   -0.222222    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163481    0.011448    0.098809    0.150328    0.303953
         0.338473    0.382773    0.408167


 k=(   -0.333333    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135115   -0.033524    0.092176    0.136540    0.307377
         0.324838    0.404002    0.447931


 k=(    0.555556    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135828   -0.031835    0.092954    0.134153    0.312526
         0.320116    0.404984    0.441955


 k=(    0.444444    0.000000    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148461   -0.005369    0.092563    0.132447    0.269485
         0.357157    0.396462    0.410172


 k=(    0.333333    0.000000    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177115    0.047734    0.118891    0.136062    0.261448
         0.321909    0.405098    0.417353


 k=(    0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197518    0.094043    0.143555    0.148530    0.254437
         0.336156    0.397228    0.397871


 k=(    0.111111    0.000000    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207107    0.100180    0.165162    0.172169    0.287121
         0.333554    0.359990    0.384991


 k=(    0.000000    0.000000    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205252    0.077742    0.179183    0.188601    0.283565
         0.328418    0.336848    0.435088


 k=(   -0.111111    0.000000    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192075    0.052984    0.133767    0.187444    0.305131
         0.332348    0.347760    0.425545


 k=(   -0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168603    0.022149    0.085418    0.171324    0.306959
         0.361221    0.376654    0.417547


 k=(   -0.333333    0.000000    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138984   -0.020978    0.069508    0.152122    0.288610
         0.381218    0.386885    0.467507


 k=(    0.555556    0.000000    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124753   -0.040089    0.074716    0.138137    0.274946
         0.386089    0.395848    0.430784


 k=(    0.444444   -0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123567   -0.027820    0.067694    0.112882    0.289856
         0.347367    0.389882    0.476986


 k=(    0.333333   -0.111111    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153316    0.010254    0.094749    0.121786    0.272672
         0.310392    0.405347    0.466203


 k=(    0.222222   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176724    0.043271    0.128821    0.131434    0.258504
         0.322792    0.407563    0.422292


 k=(    0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189931    0.062400    0.121385    0.169152    0.291682
         0.343831    0.370943    0.388690


 k=(    0.000000   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.191988    0.052294    0.133235    0.189232    0.305470
         0.330636    0.348713    0.425962


 k=(   -0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182815    0.030216    0.151201    0.157566    0.291169
         0.330132    0.371984    0.403299


 k=(   -0.222222   -0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163041    0.009011    0.100947    0.149999    0.306635
         0.338017    0.380636    0.410278


 k=(   -0.333333   -0.111111    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134922   -0.017114    0.062569    0.131518    0.319007
         0.352541    0.383699    0.457112


 k=(   -0.444444   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109867   -0.044125    0.054571    0.116628    0.300793
         0.370371    0.427443    0.444635


 k=(    0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.094148   -0.053997    0.059720    0.084788    0.343905
         0.354258    0.374566    0.437306


 k=(    0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123225   -0.029806    0.075069    0.106977    0.285592
         0.352506    0.388550    0.485129


 k=(    0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147595   -0.009678    0.101760    0.127355    0.264368
         0.360929    0.398096    0.417170


 k=(    0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163096    0.009572    0.099092    0.151842    0.304560
         0.339874    0.381626    0.407855


 k=(    0.000000   -0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168318    0.020508    0.085752    0.172720    0.308432
         0.359666    0.377538    0.416946


 k=(   -0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162875    0.008380    0.100134    0.151661    0.305940
         0.339617    0.380580    0.408913


 k=(   -0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147123   -0.011326    0.102044    0.128258    0.265620
         0.359573    0.398734    0.417604


 k=(   -0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122445   -0.031656    0.074832    0.108409    0.286660
         0.351268    0.389671    0.484812


 k=(   -0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.093151   -0.055462    0.059530    0.085498    0.344610
         0.353929    0.375026    0.436425


 k=(    0.444444    0.666667    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.096615   -0.050306    0.061324    0.081786    0.347245
         0.349107    0.373877    0.439890


 k=(    0.333333    0.666667    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.111003   -0.043223    0.060638    0.110286    0.295923
         0.373970    0.425179    0.448588


 k=(   -0.222222    0.333333   -0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124092   -0.042565    0.081789    0.132688    0.269671
         0.390342    0.403805    0.431503


 k=(    0.111111   -0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134096   -0.035913    0.092091    0.138144    0.308086
         0.326456    0.403414    0.446731


 k=(    0.000000   -0.333333    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138217   -0.023189    0.069994    0.153165    0.290051
         0.381402    0.387016    0.466879


 k=(   -0.111111   -0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134398   -0.018644    0.062630    0.132613    0.320691
         0.351619    0.383719    0.457000


 k=(   -0.222222   -0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122166   -0.032230    0.074085    0.109618    0.286422
         0.351297    0.390894    0.483560


 k=(   -0.333333   -0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103189   -0.051145    0.063630    0.115932    0.248598
         0.340468    0.473305    0.474329


 k=(   -0.444444   -0.333333    0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.087419   -0.062590    0.060015    0.094615    0.279535
         0.341077    0.448522    0.458583


 k=(    0.444444    0.555556    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125619   -0.022709    0.068680    0.108387    0.287291
         0.350084    0.386988    0.477856


 k=(    0.333333    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136947   -0.010966    0.062871    0.126303    0.314061
         0.354132    0.384188    0.458110


 k=(    0.222222    0.555556    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139908   -0.019434    0.073813    0.146161    0.283477
         0.387349    0.391636    0.465166


 k=(    0.111111    0.555556    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134851   -0.034167    0.092737    0.135862    0.312800
         0.322186    0.404465    0.440685


 k=(    0.000000    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.123573   -0.042555    0.075107    0.138980    0.276311
         0.386926    0.395738    0.429469


 k=(    0.111111    0.444444   -0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108672   -0.046350    0.054975    0.117220    0.302238
         0.370166    0.425578    0.444579


 k=(    0.222222    0.444444   -0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.092245   -0.056730    0.059156    0.086266    0.344654
         0.354550    0.375235    0.435431


 k=(    0.333333    0.444444   -0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.087520   -0.062451    0.059967    0.094615    0.279546
         0.341111    0.447989    0.458976


 k=(    0.555556    0.555556    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107273   -0.043338    0.059306    0.116251    0.248979
         0.340439    0.465700    0.471688


 k=(    0.444444    0.444444    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133965   -0.013123    0.091689    0.112436    0.242313
         0.282553    0.478357    0.479609


 k=(    0.333333    0.444444    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153962    0.013578    0.095020    0.117984    0.273928
         0.310355    0.401439    0.466415


 k=(    0.222222    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163954    0.013318    0.101748    0.144422    0.309846
         0.333670    0.379817    0.409434


 k=(    0.111111    0.444444    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163557   -0.006657    0.128474    0.163340    0.291734
         0.336920    0.349308    0.472868


 k=(    0.000000    0.444444    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153234   -0.024248    0.131539    0.154970    0.287247
         0.333237    0.353593    0.450162


 k=(   -0.111111    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134345   -0.034884    0.088553    0.141139    0.309753
         0.328291    0.399158    0.441074


 k=(   -0.222222    0.444444    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109392   -0.045285    0.055939    0.115931    0.299234
         0.373711    0.426716    0.444049


 k=(    0.666667    0.444444    0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.085013   -0.065335    0.058133    0.096859    0.281647
         0.339114    0.447590    0.458852


 k=(    0.555556    0.444444    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105867   -0.045473    0.085103    0.091185    0.267915
         0.278179    0.465172    0.535563


 k=(    0.444444    0.333333    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154184    0.014826    0.094831    0.116855    0.274321
         0.310367    0.400080    0.466706


 k=(    0.333333    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177438    0.050847    0.119082    0.132673    0.260201
         0.323817    0.404234    0.414963


 k=(    0.222222    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190538    0.069950    0.120442    0.160627    0.293815
         0.343155    0.366183    0.388870


 k=(    0.111111    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192524    0.056711    0.136148    0.179342    0.303750
         0.338630    0.342818    0.425291


 k=(    0.000000    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183308    0.033764    0.146475    0.158205    0.291892
         0.336170    0.363793    0.398015


 k=(   -0.111111    0.333333    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163525    0.012148    0.096724    0.151477    0.307621
         0.340979    0.378533    0.401416


 k=(   -0.222222    0.333333    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135475   -0.015393    0.062341    0.130388    0.317514
         0.352834    0.384151    0.457789


 k=(   -0.333333    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110837   -0.042924    0.057547    0.112982    0.299870
         0.367882    0.425662    0.447995


 k=(    0.555556    0.333333    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.124654   -0.025679    0.071768    0.106996    0.289837
         0.348725    0.384478    0.483080


 k=(    0.444444    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164341    0.015434    0.100861    0.143312    0.309843
         0.332722    0.380353    0.408036


 k=(    0.333333    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190659    0.071675    0.120171    0.158780    0.294302
         0.342570    0.365583    0.389200


 k=(    0.222222    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207456    0.109357    0.162559    0.164315    0.285927
         0.334092    0.356952    0.384361


 k=(    0.111111    0.222222    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213097    0.123805    0.156560    0.193645    0.312082
         0.318933    0.321866    0.399000


 k=(    0.000000    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207222    0.103162    0.163583    0.170046    0.287202
         0.335035    0.357772    0.384134


 k=(   -0.111111    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190184    0.065645    0.120280    0.166232    0.292308
         0.343714    0.369133    0.388843


 k=(   -0.222222    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163645    0.012108    0.099590    0.148670    0.304609
         0.336847    0.382892    0.409575


 k=(   -0.333333    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135279   -0.033279    0.093603    0.134790    0.308053
         0.323021    0.405955    0.447795


 k=(    0.555556    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135840   -0.031964    0.094409    0.132726    0.312952
         0.318483    0.406823    0.442854


 k=(    0.444444    0.111111    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.164094   -0.004657    0.128359    0.161826    0.290866
         0.335936    0.349020    0.473621


 k=(    0.333333    0.111111    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192717    0.058621    0.135848    0.177478    0.302885
         0.339512    0.341355    0.425857


 k=(    0.222222    0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213150    0.125776    0.156343    0.191246    0.312132
         0.320051    0.320758    0.398808


 k=(    0.111111    0.111111    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222684    0.162995    0.191033    0.196226    0.293749
         0.311784    0.315371    0.365316


 k=(    0.000000    0.111111    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220647    0.163577    0.176761    0.187264    0.283109
         0.331963    0.335725    0.356947


 k=(   -0.111111    0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207152    0.101569    0.159982    0.176470    0.285395
         0.330992    0.362783    0.386983


 k=(   -0.222222    0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183293    0.033440    0.148897    0.157035    0.288995
         0.328882    0.371070    0.405582


 k=(   -0.333333    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153673   -0.023237    0.140149    0.145904    0.283969
         0.326670    0.361999    0.457095


 k=(    0.555556    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140535   -0.042905    0.130210    0.150430    0.283956
         0.328007    0.353076    0.504344


 k=(    0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153920   -0.022244    0.131002    0.154288    0.286264
         0.331695    0.353685    0.451364


 k=(    0.333333    0.000000    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183537    0.035342    0.145587    0.157767    0.290886
         0.335100    0.363611    0.399129


 k=(    0.222222    0.000000    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207280    0.104601    0.162303    0.169819    0.286859
         0.334656    0.357645    0.384141


 k=(    0.111111    0.000000    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220645    0.162490    0.178784    0.186434    0.283068
         0.332584    0.334987    0.356888


 k=(    0.000000    0.000000    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222551    0.152073    0.194847    0.205397    0.299404
         0.308613    0.314664    0.362755


 k=(   -0.111111    0.000000    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212880    0.117065    0.156861    0.202952    0.309998
         0.317426    0.325257    0.399502


 k=(   -0.222222    0.000000    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192301    0.055435    0.131287    0.188138    0.303768
         0.329556    0.347911    0.427258


 k=(   -0.333333    0.000000    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163563   -0.006151    0.121909    0.171490    0.292382
         0.335051    0.345054    0.474844


 k=(   -0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140251   -0.043219    0.122420    0.159331    0.286068
         0.331801    0.344748    0.503679


 k=(    0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135163   -0.032796    0.087321    0.141263    0.308397
         0.328378    0.397786    0.442426


 k=(    0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163726    0.013297    0.095722    0.151699    0.306275
         0.341232    0.379627    0.400137


 k=(    0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190179    0.065519    0.120390    0.166310    0.292347
         0.343768    0.368943    0.388644


 k=(    0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207089    0.099978    0.161277    0.176985    0.285788
         0.331220    0.362818    0.386721


 k=(    0.000000   -0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212824    0.115324    0.157466    0.204799    0.310055
         0.316443    0.326205    0.399525


 k=(   -0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207027    0.098482    0.162649    0.177280    0.286204
         0.331526    0.362826    0.386492


 k=(   -0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190052    0.063844    0.121006    0.167761    0.292036
         0.343910    0.369781    0.388486


 k=(   -0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163539    0.012325    0.095851    0.152730    0.305216
         0.342108    0.380197    0.400434


 k=(   -0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135010   -0.033171    0.087299    0.141636    0.307707
         0.329003    0.397654    0.443481


 k=(   -0.444444    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110215   -0.043593    0.055035    0.115994    0.299269
         0.372170    0.428160    0.444184


 k=(   -0.333333    0.222222   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135455   -0.015480    0.062405    0.130419    0.317380
         0.353226    0.383847    0.457520


 k=(   -0.222222    0.222222   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163424    0.010862    0.100688    0.148522    0.305908
         0.336650    0.381801    0.410628


 k=(   -0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183054    0.031810    0.149800    0.157595    0.290040
         0.329433    0.371613    0.404440


 k=(    0.000000    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192102    0.053495    0.132021    0.189594    0.304755
         0.329219    0.348818    0.426846


 k=(    0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189928    0.062332    0.121440    0.169203    0.291702
         0.343860    0.370838    0.388566


 k=(    0.222222    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176604    0.042167    0.129303    0.132093    0.259076
         0.321956    0.408197    0.422721


 k=(   -0.333333   -0.222222    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153076    0.008973    0.095233    0.122648    0.272424
         0.310229    0.406675    0.466093


 k=(   -0.444444   -0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123287   -0.028681    0.068471    0.112873    0.288353
         0.348807    0.390904    0.477040


 k=(    0.555556    0.333333   -0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.084880   -0.065505    0.058179    0.096862    0.281635
         0.339082    0.448096    0.458487


 k=(   -0.333333    0.333333   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109963   -0.044749    0.058555    0.112935    0.299741
         0.369494    0.424132    0.448280


 k=(   -0.222222    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134430   -0.035422    0.094931    0.134666    0.309496
         0.322790    0.407252    0.446450


 k=(   -0.111111    0.333333   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152967   -0.025275    0.139960    0.147397    0.284959
         0.327547    0.362488    0.455916


 k=(    0.000000    0.333333   -0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163015   -0.008179    0.122420    0.172588    0.293285
         0.336249    0.345126    0.474881


 k=(    0.111111    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163145    0.010234    0.096918    0.153579    0.305477
         0.342680    0.379673    0.402086


 k=(    0.222222    0.333333   -0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152850    0.007838    0.095495    0.123567    0.272081
         0.310209    0.407944    0.466201


 k=(    0.333333    0.333333   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132475   -0.018217    0.096542    0.112137    0.241322
         0.282290    0.481735    0.486956


 k=(    0.444444    0.333333   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103905   -0.048994    0.084494    0.093828    0.266425
         0.279049    0.470734    0.536280


 k=(    0.444444    0.555556    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105474   -0.046201    0.085104    0.091618    0.267608
         0.278354    0.466346    0.535785


 k=(    0.333333    0.555556    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123954   -0.027655    0.072988    0.107177    0.289631
         0.348997    0.385295    0.484149


 k=(    0.222222    0.555556    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134868   -0.034429    0.095587    0.133071    0.313379
         0.319206    0.408009    0.442586


 k=(    0.111111    0.555556    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139371   -0.045422    0.130208    0.151791    0.284869
         0.328972    0.353441    0.505317


 k=(    0.000000    0.444444   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139081   -0.045742    0.122862    0.160195    0.286992
         0.333682    0.344232    0.504561


 k=(    0.111111    0.444444   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134026   -0.035638    0.088490    0.141900    0.308331
         0.329566    0.398835    0.443288


 k=(    0.222222    0.444444   -0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122575   -0.030590    0.069571    0.113063    0.288208
         0.349088    0.391632    0.478199


 k=(    0.333333    0.444444   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103504   -0.049690    0.084495    0.094206    0.266139
         0.279235    0.471804    0.536222


 k=(    0.444444    0.444444   -0.111111):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.082576   -0.073238    0.084195    0.105421    0.236024
         0.268058    0.540735    0.551822


 k=(    0.444444    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.108811   -0.046953    0.104085    0.106164    0.228714
         0.243582    0.544760    0.544922


 k=(    0.333333    0.444444    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132949   -0.016432    0.092452    0.114499    0.243349
         0.280855    0.478920    0.485051


 k=(    0.222222    0.444444    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147834   -0.008180    0.096196    0.131337    0.267955
         0.358389    0.396533    0.413803


 k=(    0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153118   -0.024694    0.134005    0.152936    0.286286
         0.330061    0.358104    0.452365


 k=(    0.000000    0.444444    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.149636   -0.040270    0.158548    0.169602    0.261338
         0.324298    0.337392    0.491002


 k=(   -0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139196   -0.045612    0.125175    0.157520    0.286062
         0.330572    0.349195    0.504764


 k=(    0.222222    0.555556    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.123754   -0.042612    0.077516    0.136862    0.273348
         0.388057    0.399761    0.429887


 k=(    0.333333    0.555556    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103731   -0.049622    0.060126    0.118356    0.250897
         0.338497    0.468006    0.474283


 k=(    0.555556    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.079707   -0.076170    0.082127    0.107525    0.238142
         0.266012    0.539618    0.551498


 k=(    0.444444    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133251   -0.015394    0.091473    0.114557    0.243553
         0.280892    0.477959    0.483860


 k=(    0.333333    0.333333    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159763    0.022047    0.117957    0.120293    0.233696
         0.280191    0.469387    0.469711


 k=(    0.222222    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176884    0.045093    0.122741    0.135240    0.260543
         0.321852    0.405856    0.420129


 k=(    0.111111    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183200    0.032890    0.148150    0.157764    0.291171
         0.332786    0.367583    0.400500


 k=(    0.000000    0.333333    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178492    0.010371    0.165020    0.176112    0.268754
         0.329258    0.341963    0.491053


 k=(   -0.111111    0.333333    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163237   -0.007526    0.124298    0.169449    0.292537
         0.336007    0.347386    0.472820


 k=(   -0.222222    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138909   -0.021608    0.071192    0.150741    0.287038
         0.383657    0.389294    0.465445


 k=(   -0.333333    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.110247   -0.042467    0.046973    0.131318    0.265263
         0.417050    0.440397    0.461407


 k=(    0.555556    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104602   -0.047998    0.059255    0.118421    0.250973
         0.338477    0.466573    0.473703


 k=(    0.444444    0.222222    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148365   -0.005998    0.094201    0.131532    0.268073
         0.358455    0.395997    0.411946


 k=(    0.333333    0.222222    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177052    0.046863    0.120729    0.135302    0.260759
         0.322201    0.405010    0.418650


 k=(    0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197514    0.093823    0.144641    0.147719    0.254482
         0.336022    0.397380    0.397607


 k=(    0.111111    0.222222    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207165    0.101583    0.163557    0.172294    0.286732
         0.333155    0.359928    0.385068


 k=(    0.000000    0.222222    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205377    0.079451    0.177335    0.188797    0.282515
         0.326951    0.337397    0.435840


 k=(   -0.111111    0.222222    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192275    0.054911    0.133023    0.186056    0.304041
         0.332471    0.347134    0.425966


 k=(   -0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168886    0.023848    0.085018    0.169954    0.305409
         0.362896    0.375768    0.418153


 k=(   -0.333333    0.222222    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139324   -0.020177    0.070088    0.150920    0.287076
         0.382231    0.388168    0.466730


 k=(    0.555556    0.222222    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124846   -0.040113    0.075910    0.137088    0.273441
         0.386684    0.397892    0.430942


 k=(    0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153865   -0.022466    0.132202    0.153303    0.285776
         0.330090    0.355980    0.452443


 k=(    0.333333    0.111111    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183484    0.034899    0.146450    0.157521    0.290522
         0.333384    0.365559    0.400359


 k=(    0.222222    0.111111    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207252    0.103778    0.162515    0.170733    0.286627
         0.333671    0.358784    0.384644


 k=(    0.111111    0.111111    0.000000):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220645    0.161928    0.180116    0.185729    0.283044
         0.333357    0.334143    0.356853


 k=(    0.000000    0.111111    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222578    0.154112    0.192584    0.205309    0.297998
         0.308243    0.316002    0.363265


 k=(   -0.111111    0.111111    0.000000):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212935    0.118959    0.156049    0.201202    0.309630
         0.318889    0.324116    0.399460


 k=(   -0.222222    0.111111    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192387    0.056162    0.131758    0.186388    0.303394
         0.331112    0.347160    0.426794


 k=(   -0.333333    0.111111    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163673   -0.005822    0.122831    0.169937    0.291997
         0.334878    0.346244    0.473820


 k=(   -0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140307   -0.043155    0.123553    0.158017    0.285594
         0.330264    0.347224    0.503743


 k=(   -0.444444    0.000000    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.150595   -0.037986    0.157588    0.169434    0.260580
         0.323069    0.336767    0.490123


 k=(   -0.333333    0.000000    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178866    0.012149    0.163959    0.175861    0.267931
         0.328054    0.341367    0.491123


 k=(   -0.222222    0.000000    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205502    0.081188    0.176028    0.188365    0.281542
         0.326170    0.337250    0.436589


 k=(   -0.111111    0.000000    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222604    0.156268    0.190780    0.204597    0.296719
         0.308458    0.316681    0.363765


 k=(    0.000000    0.000000    0.000000):       259 3-d basis functions
 the   8 eigenvalues are:
        -0.228429    0.198311    0.203902    0.215994    0.293994
         0.300756    0.304268    0.321011


 fermi energy and band-weighting factors:

FERMIE:
          first approx. to ef    (T=0)  :  0.215994 htr   (energy of the highest occ. eigenvalue)
          number of occ. states  (T=0)  :      1460
          first approx. to seigv (T=0)  :  0.176446 htr
          sum of weights of occ. states :  4.000000
          sum of semicore eigenvalues   :  0.000000 htr
          sum of semicore charge        :  0.000000 e



FERHIS:  Fermi-Energy by histogram:

          bandgap                     :   0.012007 htr
          charge neutrality (T=0)     :   0.000000    (zero if the highest occ. eigenvalue is "entirely" occupied)

     EF_NEWTON:  Adjust Fermi-Energy by Newton-Method.

               Number of iterations needed  :   4
               The error in the weight is   :  0.81924E-14
               The error in ef is           : -0.58845E-12 htr


     -->  new fermi energy            :   0.221269 htr
          valence charge              :   8.000000 e 
          actual charge blw ef-8kt    :   7.997257 e 
          actual charge blw ef+8kt    :   8.000000 e 
          number of occ. states       :      1463
          sum of the valence weights  :   4.000000
          entropy         :   0.000200 *kb htr/K =   0.00000 htr/K

          sum of val. single particle energies:         0.1764462964 htr



          valence density: spin= 1

     l-like charge
     atom     s        p        d        f        total
 --> 1    0.89050  1.17094  0.08212  0.00603    2.15119
 --> 2    0.89050  1.17094  0.08212  0.00603    2.15119
 Energy Parameters for spin:           1
 Max. mismatch of energy parameters:    0.000000

     energy parameters for window 1
     atom     s        p        d        f
 -->  1   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0
 -->  2   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0

          total charge for spin  1=    8.000000
          interst. charge =       3.697628
          mt charge=              2.151186    2.151186

          total charge  =    8.000000


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.2037        2.
               2.   0.   0.5   -4.7107        2.
               2.   1.   0.5   -3.1110        2.
               2.   1.   1.5   -3.0872        4.
          atom type  1  (spin 1) 
          kinetic energy=  0.285372365576E+03     sum of the eigenvalues= -0.158399795185E+03
          0.00178912  electrons lost from core.


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.2037        2.
               2.   0.   0.5   -4.7107        2.
               2.   1.   0.5   -3.1110        2.
               2.   1.   1.5   -3.0872        4.
          atom type  2  (spin 1) 
          kinetic energy=  0.285372365580E+03     sum of the eigenvalues= -0.158399795236E+03
          0.00178912  electrons lost from core.

          alpha=   1.39394     acoff=   0.09674

          alpha=   1.39394     acoff=   0.09674

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*



     t o t a l  e n e r g y

          sum of eigenvalues =              -316.6231441247

          density-coulomb potential int     -844.4026100648

          density-effective potential i     -898.3127841731

          charge density-ex.-corr.energ      -41.7445141124
 
 FORCES: EQUATION A3 FOR ATOM TYPE   1
 FX_A3= -0.013532  0.000000 FY_A3= -0.008921  0.000000 FZ_A3= -0.004206  0.000000
 FORCES: EQUATION A3 FOR ATOM TYPE   2
 FX_A3=  0.013532  0.000000 FY_A3=  0.008921  0.000000 FZ_A3=  0.004206  0.000000

          el.-nucl. inter. diff. m.t.        342.2718666543

          Madelung term for atom type:        -6.6358159810

          el.-nucl. inter. diff. m.t.        342.2718665960

          Madelung term for atom type:        -6.6358160043


 ----> total energy=                        -580.0715443319 htr

 ***** TOTAL FORCES ON ATOMS ***** 

 TOTAL FORCE FOR ATOM TYPE=  1  X=  1.292   Y=  1.292   Z=  1.292
                       FX_TOT=-0.013532 FY_TOT=-0.008921 FZ_TOT=-0.004206
 TOTAL FORCE FOR ATOM TYPE=  2  X= -1.369   Y= -1.344   Z= -1.318
                       FX_TOT= 0.013532 FY_TOT= 0.008921 FZ_TOT= 0.004206
eps_force= 0.00001max= 0.00000


 ---->(tkb*entropy) TS=                        0.0000001998 htr


 ----> free energy=                         -580.0715445317 htr


      extrapolation for T->0
 ----> total electron energy=               -580.0715444318 htr
 wrtdop title:alpha Si                                                                ordered*
 wrtdop title:alpha Si                                                                ordered*
     <vi|w|Fm> for it 2       0.000016
     <vi|w|Fm> for it 3      -0.000009
     <vi|w|Fm> for it 4      -0.000010
     <vi|w|Fm> for it 5      -0.000141
     <vi|w|Fm> for it 6       0.000045
     <vi|w|Fm> for it 7      -0.000196
     <vi|w|Fm> for it 8      -0.001153
     <vi|w|Fm> for it 9       0.000274
     <vi|w|Fm> for it10      -0.043974
     <vi|w|Fm> for it11      -0.032311
     <vi|w|Fm> for it12       0.098474
     <vi|w|Fm> for it13       0.877520
     <vi|w|Fm> for it14       8.067128

----> distance of charge densities for spin  1        it= 15:   0.000000 me/bohr**3

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*

     ******* it= 15  is completed********



             it=       16

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*


          p o t e n t i a l   g e n e r a t o r


          multipole moments for atom type=    1

  l   m                   original                      plane wave
  0   0          -0.52203E+00    0.00000E+00         0.77848E+00   -0.18736E-14
  1   0           0.16734E-02    0.00000E+00         0.14127E-02   -0.11827E-14
  1   1          -0.49363E-02    0.31538E-02        -0.40563E-02    0.25988E-02
  1  -1           0.49363E-02    0.31538E-02         0.40563E-02    0.25988E-02
  1   1          -0.49363E-02    0.31538E-02        -0.40563E-02    0.25988E-02
  1  -1           0.49363E-02    0.31538E-02         0.40563E-02    0.25988E-02
  2   0           0.52203E-03    0.00000E+00         0.49875E-03    0.21753E-16
  2   1           0.12346E-01   -0.18690E-01         0.11743E-01   -0.17751E-01
  2  -1          -0.12346E-01   -0.18690E-01        -0.11743E-01   -0.17751E-01
  2   2          -0.29032E-03    0.58685E-02        -0.27746E-03    0.56344E-02
  2  -2          -0.29032E-03   -0.58685E-02        -0.27746E-03   -0.56344E-02
  2   1           0.12346E-01   -0.18690E-01         0.11743E-01   -0.17751E-01
  2  -1          -0.12346E-01   -0.18690E-01        -0.11743E-01   -0.17751E-01
  2   2          -0.29032E-03    0.58685E-02        -0.27746E-03    0.56344E-02
  2  -2          -0.29032E-03   -0.58685E-02        -0.27746E-03   -0.56344E-02
  3   0          -0.84953E-02    0.00000E+00        -0.82483E-02   -0.12973E-14
  3   1          -0.10736E-01    0.72030E-02        -0.10356E-01    0.69547E-02
  3  -1           0.10736E-01    0.72030E-02         0.10356E-01    0.69547E-02
  3   2          -0.55444E-05    0.46967E+00        -0.47340E-05    0.46256E+00
  3  -2          -0.55444E-05   -0.46967E+00        -0.47340E-05   -0.46256E+00
  3   3           0.13842E-01    0.92682E-02         0.13355E-01    0.89520E-02
  3  -3          -0.13842E-01    0.92682E-02        -0.13355E-01    0.89520E-02
  3   1          -0.10736E-01    0.72030E-02        -0.10356E-01    0.69547E-02
  3  -1           0.10736E-01    0.72030E-02         0.10356E-01    0.69547E-02
  3   2          -0.55444E-05    0.46967E+00        -0.47340E-05    0.46256E+00
  3  -2          -0.55444E-05   -0.46967E+00        -0.47340E-05   -0.46256E+00
  3   3           0.13842E-01    0.92682E-02         0.13355E-01    0.89520E-02
  3  -3          -0.13842E-01    0.92682E-02        -0.13355E-01    0.89520E-02
  4   0          -0.27309E+00    0.00000E+00        -0.26912E+00    0.10247E-14
  4   1           0.34670E-03   -0.37978E-03         0.41295E-03   -0.48739E-03
  4  -1          -0.34670E-03   -0.37978E-03        -0.41295E-03   -0.48739E-03
  4   2          -0.31491E-03   -0.10924E-02        -0.30581E-03   -0.11522E-02
  4  -2          -0.31491E-03    0.10924E-02        -0.30581E-03    0.11522E-02
  4   3           0.83823E-03    0.95989E-03         0.10181E-02    0.12472E-02
  4  -3          -0.83823E-03    0.95989E-03        -0.10181E-02    0.12472E-02
  4   4          -0.16268E+00   -0.84935E-05        -0.16032E+00   -0.79850E-05
  4  -4          -0.16268E+00    0.84935E-05        -0.16032E+00    0.79850E-05
  4   1           0.34670E-03   -0.37978E-03         0.41295E-03   -0.48739E-03
  4  -1          -0.34670E-03   -0.37978E-03        -0.41295E-03   -0.48739E-03
  4   2          -0.31491E-03   -0.10924E-02        -0.30581E-03   -0.11522E-02
  4  -2          -0.31491E-03    0.10924E-02        -0.30581E-03    0.11522E-02
  4   3           0.83823E-03    0.95989E-03         0.10181E-02    0.12472E-02
  4  -3          -0.83823E-03    0.95989E-03        -0.10181E-02    0.12472E-02
  4   4          -0.16268E+00   -0.84935E-05        -0.16032E+00   -0.79850E-05
  4  -4          -0.16268E+00    0.84935E-05        -0.16032E+00    0.79850E-05
  5   0           0.53228E-02    0.00000E+00         0.52640E-02   -0.78817E-15
  5   1           0.43744E-02   -0.27155E-02         0.42149E-02   -0.26121E-02
  5  -1          -0.43744E-02   -0.27155E-02        -0.42149E-02   -0.26121E-02
  5   2           0.77404E-05    0.61510E-03         0.76072E-05    0.60126E-03
  5  -2           0.77404E-05   -0.61510E-03         0.76072E-05   -0.60126E-03
  5   3           0.17820E-01    0.11793E-01         0.17488E-01    0.11572E-01
  5  -3          -0.17820E-01    0.11793E-01        -0.17488E-01    0.11572E-01
  5   4          -0.46735E-02   -0.48302E-03        -0.45591E-02   -0.47202E-03
  5  -4          -0.46735E-02    0.48302E-03        -0.45591E-02    0.47202E-03
  5   5          -0.37256E-02    0.26169E-02        -0.37317E-02    0.26183E-02
  5  -5           0.37256E-02    0.26169E-02         0.37317E-02    0.26183E-02
  5   1           0.43744E-02   -0.27155E-02         0.42149E-02   -0.26121E-02
  5  -1          -0.43744E-02   -0.27155E-02        -0.42149E-02   -0.26121E-02
  5   2           0.77404E-05    0.61510E-03         0.76072E-05    0.60126E-03
  5  -2           0.77404E-05   -0.61510E-03         0.76072E-05   -0.60126E-03
  5   3           0.17820E-01    0.11793E-01         0.17488E-01    0.11572E-01
  5  -3          -0.17820E-01    0.11793E-01        -0.17488E-01    0.11572E-01
  5   4          -0.46735E-02   -0.48302E-03        -0.45591E-02   -0.47202E-03
  5  -4          -0.46735E-02    0.48302E-03        -0.45591E-02    0.47202E-03
  5   5          -0.37256E-02    0.26169E-02        -0.37317E-02    0.26183E-02
  5  -5           0.37256E-02    0.26169E-02         0.37317E-02    0.26183E-02
  6   0           0.10281E+00    0.00000E+00         0.10175E+00    0.11707E-14
  6   1          -0.64039E-02    0.97175E-02        -0.63488E-02    0.96355E-02
  6  -1           0.64039E-02    0.97175E-02         0.63488E-02    0.96355E-02
  6   2           0.11843E-03   -0.60791E-02         0.11734E-03   -0.60171E-02
  6  -2           0.11843E-03    0.60791E-02         0.11734E-03    0.60171E-02
  6   3          -0.42897E-02   -0.62277E-02        -0.42488E-02   -0.61690E-02
  6  -3           0.42897E-02   -0.62277E-02         0.42488E-02   -0.61690E-02
  6   4          -0.19311E+00   -0.54792E-05        -0.19113E+00   -0.55820E-05
  6  -4          -0.19311E+00    0.54792E-05        -0.19113E+00    0.55820E-05
  6   5          -0.97093E-02    0.14433E-01        -0.96202E-02    0.14304E-01
  6  -5           0.97093E-02    0.14433E-01         0.96202E-02    0.14304E-01
  6   6           0.17606E-03   -0.20776E-02         0.17447E-03   -0.20575E-02
  6  -6           0.17606E-03    0.20776E-02         0.17447E-03    0.20575E-02
  6   1          -0.64039E-02    0.97175E-02        -0.63488E-02    0.96355E-02
  6  -1           0.64039E-02    0.97175E-02         0.63488E-02    0.96355E-02
  6   2           0.11843E-03   -0.60791E-02         0.11734E-03   -0.60171E-02
  6  -2           0.11843E-03    0.60791E-02         0.11734E-03    0.60171E-02
  6   3          -0.42897E-02   -0.62277E-02        -0.42488E-02   -0.61690E-02
  6  -3           0.42897E-02   -0.62277E-02         0.42488E-02   -0.61690E-02
  6   4          -0.19311E+00   -0.54792E-05        -0.19113E+00   -0.55820E-05
  6  -4          -0.19311E+00    0.54792E-05        -0.19113E+00    0.55820E-05
  6   5          -0.97093E-02    0.14433E-01        -0.96202E-02    0.14304E-01
  6  -5           0.97093E-02    0.14433E-01         0.96202E-02    0.14304E-01
  6   6           0.17606E-03   -0.20776E-02         0.17447E-03   -0.20575E-02
  6  -6           0.17606E-03    0.20776E-02         0.17447E-03    0.20575E-02
  7   0           0.24636E-02    0.00000E+00         0.24471E-02    0.47508E-14
  7   1           0.51584E-02   -0.35463E-02         0.51444E-02   -0.35370E-02
  7  -1          -0.51584E-02   -0.35463E-02        -0.51444E-02   -0.35370E-02
  7   2           0.24198E-05   -0.12873E+00         0.24105E-05   -0.12878E+00
  7  -2           0.24198E-05    0.12873E+00         0.24105E-05    0.12878E+00
  7   3          -0.12548E-02   -0.85873E-03        -0.12390E-02   -0.84835E-03
  7  -3           0.12548E-02   -0.85873E-03         0.12390E-02   -0.84835E-03
  7   4           0.24426E-02   -0.36118E-03         0.24431E-02   -0.36207E-03
  7  -4           0.24426E-02    0.36118E-03         0.24431E-02    0.36207E-03
  7   5          -0.27215E-02    0.18617E-02        -0.27404E-02    0.18744E-02
  7  -5           0.27215E-02    0.18617E-02         0.27404E-02    0.18744E-02
  7   6           0.43108E-05   -0.11780E+00         0.42436E-05   -0.11784E+00
  7  -6           0.43108E-05    0.11780E+00         0.42436E-05    0.11784E+00
  7   7          -0.47002E-02   -0.32247E-02        -0.46773E-02   -0.32095E-02
  7  -7           0.47002E-02   -0.32247E-02         0.46773E-02   -0.32095E-02
  7   1           0.51584E-02   -0.35463E-02         0.51444E-02   -0.35370E-02
  7  -1          -0.51584E-02   -0.35463E-02        -0.51444E-02   -0.35370E-02
  7   2           0.24198E-05   -0.12873E+00         0.24105E-05   -0.12878E+00
  7  -2           0.24198E-05    0.12873E+00         0.24105E-05    0.12878E+00
  7   3          -0.12548E-02   -0.85873E-03        -0.12390E-02   -0.84835E-03
  7  -3           0.12548E-02   -0.85873E-03         0.12390E-02   -0.84835E-03
  7   4           0.24426E-02   -0.36118E-03         0.24431E-02   -0.36207E-03
  7  -4           0.24426E-02    0.36118E-03         0.24431E-02    0.36207E-03
  7   5          -0.27215E-02    0.18617E-02        -0.27404E-02    0.18744E-02
  7  -5           0.27215E-02    0.18617E-02         0.27404E-02    0.18744E-02
  7   6           0.43108E-05   -0.11780E+00         0.42436E-05   -0.11784E+00
  7  -6           0.43108E-05    0.11780E+00         0.42436E-05    0.11784E+00
  7   7          -0.47002E-02   -0.32247E-02        -0.46773E-02   -0.32095E-02
  7  -7           0.47002E-02   -0.32247E-02         0.46773E-02   -0.32095E-02
  8   0           0.52642E-01    0.00000E+00         0.56887E-01   -0.10814E-14
  8   1           0.59093E-03   -0.93583E-03         0.52886E-03   -0.83506E-03
  8  -1          -0.59093E-03   -0.93583E-03        -0.52886E-03   -0.83506E-03
  8   2           0.10441E-03    0.31323E-02         0.11464E-03    0.34713E-02
  8  -2           0.10441E-03   -0.31323E-02         0.11464E-03   -0.34713E-02
  8   3          -0.88121E-03   -0.12354E-02        -0.11223E-02   -0.16026E-02
  8  -3           0.88121E-03   -0.12354E-02         0.11223E-02   -0.16026E-02
  8   4           0.19352E-01    0.86412E-05         0.20944E-01    0.86870E-05
  8  -4           0.19352E-01   -0.86412E-05         0.20944E-01   -0.86870E-05
  8   5          -0.56801E-02    0.85186E-02        -0.61404E-02    0.92034E-02
  8  -5           0.56801E-02    0.85186E-02         0.61404E-02    0.92034E-02
  8   6           0.32656E-03   -0.14342E-02         0.33088E-03   -0.14899E-02
  8  -6           0.32656E-03    0.14342E-02         0.33088E-03    0.14899E-02
  8   7          -0.33965E-02   -0.50344E-02        -0.38739E-02   -0.57563E-02
  8  -7           0.33965E-02   -0.50344E-02         0.38739E-02   -0.57563E-02
  8   8           0.29792E-01   -0.13932E-05         0.32206E-01   -0.21262E-05
  8  -8           0.29792E-01    0.13932E-05         0.32206E-01    0.21262E-05
  8   1           0.59093E-03   -0.93583E-03         0.52886E-03   -0.83506E-03
  8  -1          -0.59093E-03   -0.93583E-03        -0.52886E-03   -0.83506E-03
  8   2           0.10441E-03    0.31323E-02         0.11464E-03    0.34713E-02
  8  -2           0.10441E-03   -0.31323E-02         0.11464E-03   -0.34713E-02
  8   3          -0.88121E-03   -0.12354E-02        -0.11223E-02   -0.16026E-02
  8  -3           0.88121E-03   -0.12354E-02         0.11223E-02   -0.16026E-02
  8   4           0.19352E-01    0.86412E-05         0.20944E-01    0.86870E-05
  8  -4           0.19352E-01   -0.86412E-05         0.20944E-01   -0.86870E-05
  8   5          -0.56801E-02    0.85186E-02        -0.61404E-02    0.92034E-02
  8  -5           0.56801E-02    0.85186E-02         0.61404E-02    0.92034E-02
  8   6           0.32656E-03   -0.14342E-02         0.33088E-03   -0.14899E-02
  8  -6           0.32656E-03    0.14342E-02         0.33088E-03    0.14899E-02
  8   7          -0.33965E-02   -0.50344E-02        -0.38739E-02   -0.57563E-02
  8  -7           0.33965E-02   -0.50344E-02         0.38739E-02   -0.57563E-02
  8   8           0.29792E-01   -0.13932E-05         0.32206E-01   -0.21262E-05
  8  -8           0.29792E-01    0.13932E-05         0.32206E-01    0.21262E-05

          multipole moments for atom type=    2

  l   m                   original                      plane wave
  0   0          -0.52203E+00    0.00000E+00         0.77848E+00   -0.10174E-14
  1   0          -0.16734E-02    0.00000E+00        -0.14127E-02    0.65036E-16
  1   1           0.49363E-02   -0.31538E-02         0.40563E-02   -0.25988E-02
  1  -1          -0.49363E-02   -0.31538E-02        -0.40563E-02   -0.25988E-02
  1   1           0.49363E-02   -0.31538E-02         0.40563E-02   -0.25988E-02
  1  -1          -0.49363E-02   -0.31538E-02        -0.40563E-02   -0.25988E-02
  2   0           0.52203E-03    0.00000E+00         0.49874E-03    0.20360E-16
  2   1           0.12346E-01   -0.18690E-01         0.11743E-01   -0.17751E-01
  2  -1          -0.12346E-01   -0.18690E-01        -0.11743E-01   -0.17751E-01
  2   2          -0.29035E-03    0.58685E-02        -0.27749E-03    0.56344E-02
  2  -2          -0.29035E-03   -0.58685E-02        -0.27749E-03   -0.56344E-02
  2   1           0.12346E-01   -0.18690E-01         0.11743E-01   -0.17751E-01
  2  -1          -0.12346E-01   -0.18690E-01        -0.11743E-01   -0.17751E-01
  2   2          -0.29035E-03    0.58685E-02        -0.27749E-03    0.56344E-02
  2  -2          -0.29035E-03   -0.58685E-02        -0.27749E-03   -0.56344E-02
  3   0           0.84952E-02    0.00000E+00         0.82483E-02   -0.47462E-15
  3   1           0.10736E-01   -0.72030E-02         0.10357E-01   -0.69547E-02
  3  -1          -0.10736E-01   -0.72030E-02        -0.10357E-01   -0.69547E-02
  3   2           0.55912E-05   -0.46967E+00         0.47831E-05   -0.46256E+00
  3  -2           0.55912E-05    0.46967E+00         0.47831E-05    0.46256E+00
  3   3          -0.13842E-01   -0.92682E-02        -0.13355E-01   -0.89520E-02
  3  -3           0.13842E-01   -0.92682E-02         0.13355E-01   -0.89520E-02
  3   1           0.10736E-01   -0.72030E-02         0.10357E-01   -0.69547E-02
  3  -1          -0.10736E-01   -0.72030E-02        -0.10357E-01   -0.69547E-02
  3   2           0.55912E-05   -0.46967E+00         0.47831E-05   -0.46256E+00
  3  -2           0.55912E-05    0.46967E+00         0.47831E-05    0.46256E+00
  3   3          -0.13842E-01   -0.92682E-02        -0.13355E-01   -0.89520E-02
  3  -3           0.13842E-01   -0.92682E-02         0.13355E-01   -0.89520E-02
  4   0          -0.27309E+00    0.00000E+00        -0.26912E+00    0.25828E-14
  4   1           0.34671E-03   -0.37970E-03         0.41296E-03   -0.48733E-03
  4  -1          -0.34671E-03   -0.37970E-03        -0.41296E-03   -0.48733E-03
  4   2          -0.31491E-03   -0.10925E-02        -0.30580E-03   -0.11522E-02
  4  -2          -0.31491E-03    0.10925E-02        -0.30580E-03    0.11522E-02
  4   3           0.83822E-03    0.96040E-03         0.10181E-02    0.12477E-02
  4  -3          -0.83822E-03    0.96040E-03        -0.10181E-02    0.12477E-02
  4   4          -0.16268E+00   -0.85624E-05        -0.16032E+00   -0.80561E-05
  4  -4          -0.16268E+00    0.85624E-05        -0.16032E+00    0.80561E-05
  4   1           0.34671E-03   -0.37970E-03         0.41296E-03   -0.48733E-03
  4  -1          -0.34671E-03   -0.37970E-03        -0.41296E-03   -0.48733E-03
  4   2          -0.31491E-03   -0.10925E-02        -0.30580E-03   -0.11522E-02
  4  -2          -0.31491E-03    0.10925E-02        -0.30580E-03    0.11522E-02
  4   3           0.83822E-03    0.96040E-03         0.10181E-02    0.12477E-02
  4  -3          -0.83822E-03    0.96040E-03        -0.10181E-02    0.12477E-02
  4   4          -0.16268E+00   -0.85624E-05        -0.16032E+00   -0.80561E-05
  4  -4          -0.16268E+00    0.85624E-05        -0.16032E+00    0.80561E-05
  5   0          -0.53229E-02    0.00000E+00        -0.52640E-02   -0.23848E-14
  5   1          -0.43744E-02    0.27155E-02        -0.42150E-02    0.26121E-02
  5  -1           0.43744E-02    0.27155E-02         0.42150E-02    0.26121E-02
  5   2          -0.77891E-05   -0.61502E-03        -0.76563E-05   -0.60117E-03
  5  -2          -0.77891E-05    0.61502E-03        -0.76563E-05    0.60117E-03
  5   3          -0.17820E-01   -0.11793E-01        -0.17488E-01   -0.11572E-01
  5  -3           0.17820E-01   -0.11793E-01         0.17488E-01   -0.11572E-01
  5   4           0.46737E-02    0.48354E-03         0.45594E-02    0.47257E-03
  5  -4           0.46737E-02   -0.48354E-03         0.45594E-02   -0.47257E-03
  5   5           0.37237E-02   -0.26169E-02         0.37297E-02   -0.26183E-02
  5  -5          -0.37237E-02   -0.26169E-02        -0.37297E-02   -0.26183E-02
  5   1          -0.43744E-02    0.27155E-02        -0.42150E-02    0.26121E-02
  5  -1           0.43744E-02    0.27155E-02         0.42150E-02    0.26121E-02
  5   2          -0.77891E-05   -0.61502E-03        -0.76563E-05   -0.60117E-03
  5  -2          -0.77891E-05    0.61502E-03        -0.76563E-05    0.60117E-03
  5   3          -0.17820E-01   -0.11793E-01        -0.17488E-01   -0.11572E-01
  5  -3           0.17820E-01   -0.11793E-01         0.17488E-01   -0.11572E-01
  5   4           0.46737E-02    0.48354E-03         0.45594E-02    0.47257E-03
  5  -4           0.46737E-02   -0.48354E-03         0.45594E-02   -0.47257E-03
  5   5           0.37237E-02   -0.26169E-02         0.37297E-02   -0.26183E-02
  5  -5          -0.37237E-02   -0.26169E-02        -0.37297E-02   -0.26183E-02
  6   0           0.10281E+00    0.00000E+00         0.10175E+00    0.23593E-14
  6   1          -0.64039E-02    0.97176E-02        -0.63488E-02    0.96356E-02
  6  -1           0.64039E-02    0.97176E-02         0.63488E-02    0.96356E-02
  6   2           0.11860E-03   -0.60791E-02         0.11752E-03   -0.60171E-02
  6  -2           0.11860E-03    0.60791E-02         0.11752E-03    0.60171E-02
  6   3          -0.42897E-02   -0.62284E-02        -0.42489E-02   -0.61697E-02
  6  -3           0.42897E-02   -0.62284E-02         0.42489E-02   -0.61697E-02
  6   4          -0.19311E+00   -0.55885E-05        -0.19113E+00   -0.56943E-05
  6  -4          -0.19311E+00    0.55885E-05        -0.19113E+00    0.56943E-05
  6   5          -0.97095E-02    0.14433E-01        -0.96204E-02    0.14304E-01
  6  -5           0.97095E-02    0.14433E-01         0.96204E-02    0.14304E-01
  6   6           0.17553E-03   -0.20772E-02         0.17391E-03   -0.20571E-02
  6  -6           0.17553E-03    0.20772E-02         0.17391E-03    0.20571E-02
  6   1          -0.64039E-02    0.97176E-02        -0.63488E-02    0.96356E-02
  6  -1           0.64039E-02    0.97176E-02         0.63488E-02    0.96356E-02
  6   2           0.11860E-03   -0.60791E-02         0.11752E-03   -0.60171E-02
  6  -2           0.11860E-03    0.60791E-02         0.11752E-03    0.60171E-02
  6   3          -0.42897E-02   -0.62284E-02        -0.42489E-02   -0.61697E-02
  6  -3           0.42897E-02   -0.62284E-02         0.42489E-02   -0.61697E-02
  6   4          -0.19311E+00   -0.55885E-05        -0.19113E+00   -0.56943E-05
  6  -4          -0.19311E+00    0.55885E-05        -0.19113E+00    0.56943E-05
  6   5          -0.97095E-02    0.14433E-01        -0.96204E-02    0.14304E-01
  6  -5           0.97095E-02    0.14433E-01         0.96204E-02    0.14304E-01
  6   6           0.17553E-03   -0.20772E-02         0.17391E-03   -0.20571E-02
  6  -6           0.17553E-03    0.20772E-02         0.17391E-03    0.20571E-02
  7   0          -0.24634E-02    0.00000E+00        -0.24470E-02   -0.34088E-15
  7   1          -0.51588E-02    0.35464E-02        -0.51448E-02    0.35370E-02
  7  -1           0.51588E-02    0.35464E-02         0.51448E-02    0.35370E-02
  7   2          -0.24077E-05    0.12873E+00        -0.23975E-05    0.12878E+00
  7  -2          -0.24077E-05   -0.12873E+00        -0.23975E-05   -0.12878E+00
  7   3           0.12555E-02    0.85878E-03         0.12398E-02    0.84840E-03
  7  -3          -0.12555E-02    0.85878E-03        -0.12398E-02    0.84840E-03
  7   4          -0.24427E-02    0.36109E-03        -0.24432E-02    0.36198E-03
  7  -4          -0.24427E-02   -0.36109E-03        -0.24432E-02   -0.36198E-03
  7   5           0.27233E-02   -0.18617E-02         0.27423E-02   -0.18744E-02
  7  -5          -0.27233E-02   -0.18617E-02        -0.27423E-02   -0.18744E-02
  7   6          -0.43803E-05    0.11780E+00        -0.43125E-05    0.11784E+00
  7  -6          -0.43803E-05   -0.11780E+00        -0.43125E-05   -0.11784E+00
  7   7           0.47002E-02    0.32245E-02         0.46774E-02    0.32093E-02
  7  -7          -0.47002E-02    0.32245E-02        -0.46774E-02    0.32093E-02
  7   1          -0.51588E-02    0.35464E-02        -0.51448E-02    0.35370E-02
  7  -1           0.51588E-02    0.35464E-02         0.51448E-02    0.35370E-02
  7   2          -0.24077E-05    0.12873E+00        -0.23975E-05    0.12878E+00
  7  -2          -0.24077E-05   -0.12873E+00        -0.23975E-05   -0.12878E+00
  7   3           0.12555E-02    0.85878E-03         0.12398E-02    0.84840E-03
  7  -3          -0.12555E-02    0.85878E-03        -0.12398E-02    0.84840E-03
  7   4          -0.24427E-02    0.36109E-03        -0.24432E-02    0.36198E-03
  7  -4          -0.24427E-02   -0.36109E-03        -0.24432E-02   -0.36198E-03
  7   5           0.27233E-02   -0.18617E-02         0.27423E-02   -0.18744E-02
  7  -5          -0.27233E-02   -0.18617E-02        -0.27423E-02   -0.18744E-02
  7   6          -0.43803E-05    0.11780E+00        -0.43125E-05    0.11784E+00
  7  -6          -0.43803E-05   -0.11780E+00        -0.43125E-05   -0.11784E+00
  7   7           0.47002E-02    0.32245E-02         0.46774E-02    0.32093E-02
  7  -7          -0.47002E-02    0.32245E-02        -0.46774E-02    0.32093E-02
  8   0           0.52642E-01    0.00000E+00         0.56887E-01   -0.10042E-13
  8   1           0.59091E-03   -0.93639E-03         0.52884E-03   -0.83566E-03
  8  -1          -0.59091E-03   -0.93639E-03        -0.52884E-03   -0.83566E-03
  8   2           0.10447E-03    0.31325E-02         0.11473E-03    0.34716E-02
  8  -2           0.10447E-03   -0.31325E-02         0.11473E-03   -0.34716E-02
  8   3          -0.88123E-03   -0.12358E-02        -0.11223E-02   -0.16031E-02
  8  -3           0.88123E-03   -0.12358E-02         0.11223E-02   -0.16031E-02
  8   4           0.19352E-01    0.87883E-05         0.20944E-01    0.88496E-05
  8  -4           0.19352E-01   -0.87883E-05         0.20944E-01   -0.88496E-05
  8   5          -0.56801E-02    0.85179E-02        -0.61404E-02    0.92027E-02
  8  -5           0.56801E-02    0.85179E-02         0.61404E-02    0.92027E-02
  8   6           0.32691E-03   -0.14344E-02         0.33123E-03   -0.14900E-02
  8  -6           0.32691E-03    0.14344E-02         0.33123E-03    0.14900E-02
  8   7          -0.33965E-02   -0.50330E-02        -0.38739E-02   -0.57549E-02
  8  -7           0.33965E-02   -0.50330E-02         0.38739E-02   -0.57549E-02
  8   8           0.29792E-01   -0.14592E-05         0.32206E-01   -0.21945E-05
  8  -8           0.29792E-01    0.14592E-05         0.32206E-01    0.21945E-05
  8   1           0.59091E-03   -0.93639E-03         0.52884E-03   -0.83566E-03
  8  -1          -0.59091E-03   -0.93639E-03        -0.52884E-03   -0.83566E-03
  8   2           0.10447E-03    0.31325E-02         0.11473E-03    0.34716E-02
  8  -2           0.10447E-03   -0.31325E-02         0.11473E-03   -0.34716E-02
  8   3          -0.88123E-03   -0.12358E-02        -0.11223E-02   -0.16031E-02
  8  -3           0.88123E-03   -0.12358E-02         0.11223E-02   -0.16031E-02
  8   4           0.19352E-01    0.87883E-05         0.20944E-01    0.88496E-05
  8  -4           0.19352E-01   -0.87883E-05         0.20944E-01   -0.88496E-05
  8   5          -0.56801E-02    0.85179E-02        -0.61404E-02    0.92027E-02
  8  -5           0.56801E-02    0.85179E-02         0.61404E-02    0.92027E-02
  8   6           0.32691E-03   -0.14344E-02         0.33123E-03   -0.14900E-02
  8  -6           0.32691E-03    0.14344E-02         0.33123E-03    0.14900E-02
  8   7          -0.33965E-02   -0.50330E-02        -0.38739E-02   -0.57549E-02
  8  -7           0.33965E-02   -0.50330E-02         0.38739E-02   -0.57549E-02
  8   8           0.29792E-01   -0.14592E-05         0.32206E-01   -0.21945E-05
  8  -8           0.29792E-01    0.14592E-05         0.32206E-01    0.21945E-05

          integral of pseudo charge density inside the slab=        0.000000   0.000000

     coulomb potential in the interstitial region:

          density-coulomb potential integrals


          interstitial :                       0.7807210974

          muffin tin spheres :              -845.1833311480

          total density-coulomb potenti     -844.4026100507
 wrtdop title:alpha Si                                                                ordered*

     interstitial potential average (vbar) = -0.027906

 999idsprs in starting of nmtxad= 0

          density-effective potential integrals for spin  1


          interstitial :                      -0.4749448219

          muffin tin spheres :              -897.8378393401

          total density-effective poten     -898.3127841620

          charge density-energy density integrals


          interstitial :                      -0.9795633306

          muffin tin spheres :               -40.7649507833

          total charge density-energy d      -41.7445141139
 vgen: pottot deleted
 wrtdop title:alpha Si                                                                ordered*
 IT=  16  ISEC1=  99 standard diagonalization
  Atom  1 3s branch from -4.72 to  1.07 htr. ; e_l = -0.1341
  Atom  1 3p branch from -3.11 to  1.55 htr. ; e_l =  0.0500
  Atom  1 3d branch from -9.99 to  1.95 htr. ; e_l =  0.2439
  Atom  1 4f branch from -9.99 to  4.11 htr. ; e_l =  0.4116
  Atom  2 3s branch from -4.72 to  1.07 htr. ; e_l = -0.1341
  Atom  2 3p branch from -3.11 to  1.55 htr. ; e_l =  0.0500
  Atom  2 3d branch from -9.99 to  1.95 htr. ; e_l =  0.2439
  Atom  2 4f branch from -9.99 to  4.11 htr. ; e_l =  0.4116


 wavefunction parameters for atom type  1:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.13409        4.7800588E-01  -2.4465366E-01    2       -3.1232929E-01  -7.4530269E-01    2   1.0766710E-01   4.3267158E-01
  1   0.04999       -5.5348712E-01   9.9418243E-02    1        2.6599577E-01   7.3396795E-01    2   7.9521943E-02   4.3268664E-01
  2   0.24387        6.4439219E-01   1.6344256E-01    0       -2.3289853E-01  -7.3053287E-01    1   6.5178938E-02   4.3268414E-01
  3   0.41164        8.3800007E-01   7.5544845E-01    0       -1.2158489E-01  -6.2593055E-01    1   1.3122242E-02   4.3267873E-01
  4   0.41164        9.7736354E-01   1.4626809E+00    0       -8.2132586E-02  -5.6560526E-01    1   4.9166923E-03   4.3266820E-01
  5   0.41164        1.0889890E+00   2.2153832E+00    0       -6.1660944E-02  -5.2273998E-01    1   2.3795468E-03   4.3265549E-01
  6   0.41164        1.1859741E+00   3.0206232E+00    0       -4.8925249E-02  -4.8940792E-01    1   1.3189789E-03   4.3264038E-01
  7   0.41164        1.2734321E+00   3.8786657E+00    0       -4.0219931E-02  -4.6223314E-01    1   7.9808738E-04   4.3262283E-01
  8   0.41164        1.3539864E+00   4.7881050E+00    0       -3.3904804E-02  -4.3940067E-01    1   5.1413446E-04   4.3260278E-01


 wavefunction parameters for atom type  2:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.13409        4.7800588E-01  -2.4465367E-01    2       -3.1232930E-01  -7.4530269E-01    2   1.0766710E-01   4.3267158E-01
  1   0.04999       -5.5348712E-01   9.9418252E-02    1        2.6599578E-01   7.3396795E-01    2   7.9521945E-02   4.3268664E-01
  2   0.24387        6.4439219E-01   1.6344255E-01    0       -2.3289853E-01  -7.3053287E-01    1   6.5178940E-02   4.3268414E-01
  3   0.41164        8.3800006E-01   7.5544844E-01    0       -1.2158489E-01  -6.2593055E-01    1   1.3122243E-02   4.3267873E-01
  4   0.41164        9.7736354E-01   1.4626809E+00    0       -8.2132587E-02  -5.6560526E-01    1   4.9166924E-03   4.3266820E-01
  5   0.41164        1.0889890E+00   2.2153832E+00    0       -6.1660944E-02  -5.2273998E-01    1   2.3795468E-03   4.3265549E-01
  6   0.41164        1.1859741E+00   3.0206232E+00    0       -4.8925250E-02  -4.8940792E-01    1   1.3189789E-03   4.3264038E-01
  7   0.41164        1.2734321E+00   3.8786657E+00    0       -4.0219931E-02  -4.6223314E-01    1   7.9808738E-04   4.3262283E-01
  8   0.41164        1.3539864E+00   4.7881050E+00    0       -3.3904804E-02  -4.3940067E-01    1   5.1413446E-04   4.3260278E-01


 k=(    0.444444    0.444444    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.153280   -0.031293    0.159306    0.163882    0.258587
         0.324574    0.329870    0.487745


 k=(    0.333333    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155807   -0.016636    0.134401    0.147133    0.282764
         0.327031    0.355424    0.456842


 k=(    0.222222    0.444444    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149604   -0.001541    0.095572    0.126844    0.263607
         0.363102    0.395648    0.410692


 k=(    0.111111    0.444444    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133882   -0.013596    0.094257    0.110453    0.240047
         0.284585    0.479228    0.481202


 k=(    0.000000    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.109044   -0.046474    0.102274    0.107596    0.228001
         0.244450    0.544473    0.545265


 k=(   -0.111111    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.085594   -0.069896    0.085730    0.103582    0.233510
         0.270559    0.542643    0.551618


 k=(    0.222222    0.555556    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107770   -0.042866    0.061525    0.114177    0.246329
         0.342994    0.468496    0.471697


 k=(    0.333333    0.555556    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128235   -0.032822    0.076669    0.132190    0.268738
         0.386840    0.397743    0.434831


 k=(    0.555556    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143573   -0.035778    0.125162    0.151858    0.282834
         0.327785    0.346526    0.501226


 k=(    0.444444    0.333333    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155848   -0.016444    0.132471    0.148931    0.283239
         0.328016    0.353720    0.455743


 k=(    0.333333    0.333333    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165140   -0.000120    0.121288    0.166961    0.290187
         0.336918    0.339240    0.476509


 k=(    0.222222    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164629    0.017667    0.096393    0.146835    0.304000
         0.336244    0.384323    0.403148


 k=(    0.111111    0.333333    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153777    0.012629    0.094953    0.119002    0.273270
         0.310800    0.402721    0.466475


 k=(    0.000000    0.333333    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132897   -0.016358    0.090604    0.115990    0.245257
         0.279235    0.479960    0.483708


 k=(   -0.111111    0.333333    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104154   -0.048509    0.083709    0.094294    0.265639
         0.279963    0.470633    0.535967


 k=(   -0.222222    0.333333    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.090022   -0.059316    0.061330    0.092609    0.277041
         0.343700    0.449012    0.458083


 k=(    0.666667    0.333333    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114369   -0.035890    0.057317    0.109589    0.294950
         0.369553    0.431858    0.447727


 k=(    0.555556    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138135   -0.025713    0.090673    0.132751    0.308919
         0.319094    0.402803    0.446686


 k=(    0.444444    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149664   -0.001050    0.093756    0.128137    0.264890
         0.361787    0.395654    0.409422


 k=(    0.333333    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164637    0.017880    0.095589    0.147519    0.304347
         0.337081    0.383680    0.401195


 k=(    0.222222    0.222222    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169430    0.026843    0.085213    0.166317    0.303689
         0.364729    0.374785    0.419056


 k=(    0.111111    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163615    0.011823    0.100896    0.146666    0.310878
         0.335967    0.378024    0.407317


 k=(    0.000000    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147500   -0.009116    0.094899    0.132985    0.270626
         0.356049    0.397572    0.412258


 k=(   -0.111111    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122437   -0.030788    0.069179    0.113230    0.291024
         0.346659    0.390282    0.479096


 k=(   -0.222222    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.093423   -0.055017    0.059246    0.085568    0.343711
         0.355316    0.374634    0.436209


 k=(    0.666667    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.097547   -0.048784    0.061523    0.080911    0.346072
         0.350041    0.373358    0.440554


 k=(    0.555556    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125937   -0.022156    0.070718    0.105886    0.286354
         0.351668    0.385263    0.480628


 k=(    0.444444    0.111111    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133913   -0.013404    0.092962    0.111508    0.241158
         0.283572    0.478323    0.480871


 k=(    0.333333    0.111111    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153753    0.012445    0.095195    0.118980    0.273444
         0.310524    0.402767    0.466291


 k=(    0.222222    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163587    0.011512    0.101809    0.146042    0.310476
         0.335206    0.378640    0.409064


 k=(    0.111111    0.111111    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163011   -0.008656    0.128772    0.164607    0.292702
         0.338562    0.348910    0.472761


 k=(    0.000000    0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152470   -0.026481    0.133392    0.154507    0.287827
         0.333143    0.355790    0.449996


 k=(   -0.111111    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133329   -0.037373    0.089779    0.141346    0.310583
         0.328710    0.400404    0.440718


 k=(   -0.222222    0.111111    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108135   -0.047597    0.056391    0.116496    0.300711
         0.373507    0.424562    0.444467


 k=(    0.666667    0.111111    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.083651   -0.066855    0.057418    0.097685    0.282997
         0.337841    0.447238    0.458981


 k=(    0.555556    0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105951   -0.045297    0.084656    0.091510    0.267532
         0.278610    0.465143    0.535450


 k=(    0.444444    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.108899   -0.046773    0.103235    0.106873    0.228438
         0.243916    0.544599    0.545104


 k=(    0.333333    0.000000    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132760   -0.016957    0.092067    0.115205    0.244238
         0.279979    0.479889    0.485021


 k=(    0.222222    0.000000    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147393   -0.009745    0.096561    0.132041    0.269259
         0.357131    0.397360    0.413956


 k=(    0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152410   -0.026706    0.134675    0.153442    0.287354
         0.331573    0.358003    0.451120


 k=(    0.000000    0.000000    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.148642   -0.042575    0.160062    0.169132    0.262150
         0.326410    0.337164    0.491927


 k=(   -0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137974   -0.048174    0.125660    0.158291    0.287067
         0.332373    0.348737    0.505690


 k=(    0.222222    0.000000    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122505   -0.045135    0.077910    0.137676    0.274764
         0.388984    0.399608    0.428465


 k=(    0.333333    0.000000    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.102677   -0.051272    0.059867    0.119117    0.252256
         0.337270    0.468608    0.474212


 k=(    0.555556    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.078474   -0.077363    0.081258    0.108248    0.239502
         0.264779    0.538562    0.551413


 k=(    0.444444   -0.111111    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.084109   -0.071571    0.084954    0.104556    0.234726
         0.269327    0.541743    0.551730


 k=(    0.333333   -0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103600   -0.049506    0.084206    0.094377    0.265845
         0.279578    0.471764    0.536105


 k=(    0.222222   -0.111111    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122129   -0.031676    0.069958    0.113224    0.289558
         0.347963    0.391349    0.479274


 k=(    0.111111   -0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133163   -0.037753    0.089737    0.141735    0.309839
         0.329372    0.400208    0.441880


 k=(    0.000000   -0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137915   -0.048240    0.124477    0.159654    0.287522
         0.333934    0.346263    0.505543


 k=(    0.111111    0.111111    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.138153   -0.047979    0.130465    0.152824    0.285868
         0.330286    0.353447    0.506323


 k=(    0.222222    0.111111    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133849   -0.036787    0.095366    0.134739    0.313951
         0.321067    0.407414    0.441289


 k=(    0.333333    0.111111    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123242   -0.029372    0.072701    0.108563    0.290730
         0.347842    0.386361    0.483788


 k=(    0.444444    0.111111    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105166   -0.046751    0.084807    0.092220    0.266954
         0.278934    0.467494    0.535857


 k=(    0.555556    0.222222    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107504   -0.043139    0.060397    0.115273    0.247610
         0.341744    0.466893    0.471877


 k=(    0.333333   -0.222222    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.088828   -0.060830    0.060608    0.093662    0.278259
         0.342445    0.448234    0.458743


 k=(    0.222222   -0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.092355   -0.056556    0.059054    0.086289    0.344310
         0.355083    0.375080    0.435353


 k=(    0.111111   -0.222222    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.107761   -0.048133    0.055891    0.117151    0.302189
         0.371762    0.424121    0.444565


 k=(    0.000000    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122418   -0.045102    0.076694    0.138745    0.276222
         0.388455    0.397627    0.428199


 k=(    0.111111    0.222222    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133844   -0.036652    0.093967    0.136107    0.313706
         0.322507    0.405715    0.440282


 k=(    0.222222    0.222222    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139156   -0.021638    0.074186    0.147350    0.284874
         0.388294    0.391059    0.464109


 k=(    0.333333    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136452   -0.012567    0.062918    0.127526    0.315591
         0.353309    0.384294    0.457796


 k=(    0.444444    0.222222    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125404   -0.023438    0.069405    0.108331    0.285807
         0.351643    0.387931    0.477879


 k=(    0.555556    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128116   -0.032855    0.075274    0.133560    0.270061
         0.385933    0.396245    0.434509


 k=(    0.333333    0.666667    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114055   -0.036412    0.056700    0.110434    0.296334
         0.367917    0.431056    0.448197


 k=(    0.222222    0.666667    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.096830   -0.049910    0.060978    0.081911    0.344986
         0.351752    0.373606    0.439645


 k=(    0.111111    0.666667    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.082090   -0.068550    0.056669    0.098526    0.284299
         0.336622    0.447320    0.458708


 k=(    0.000000    0.333333    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.102599   -0.051145    0.058677    0.119961    0.253650
         0.336088    0.467520    0.473761


 k=(    0.111111    0.333333    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123269   -0.029057    0.071175    0.109777    0.291967
         0.346539    0.386542    0.482353


 k=(    0.222222    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136471   -0.012477    0.062848    0.127497    0.315710
         0.352931    0.384607    0.458046


 k=(    0.333333    0.333333    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141151   -0.014450    0.068537    0.148211    0.285077
         0.382633    0.384140    0.470155


 k=(    0.444444    0.333333    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137818   -0.026205    0.087742    0.136429    0.306868
         0.323337    0.398963    0.446858


 k=(    0.444444    0.555556    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143519   -0.035838    0.123536    0.153718    0.283274
         0.328614    0.344756    0.501150


 k=(    0.333333    0.555556    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138010   -0.026039    0.090513    0.133232    0.307766
         0.320180    0.402669    0.447782


 k=(    0.222222    0.555556    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125739   -0.022825    0.071412    0.105803    0.284926
         0.353161    0.386201    0.480745


 k=(    0.111111    0.555556    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105703   -0.045728    0.084051    0.092346    0.266685
         0.279404    0.466263    0.535482


 k=(    0.000000    0.555556    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.079463   -0.076274    0.080299    0.108986    0.240824
         0.263607    0.537596    0.551238


 k=(    0.111111    0.444444    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105311   -0.046454    0.084192    0.092632    0.266418
         0.279550    0.467439    0.535665


 k=(    0.222222    0.444444    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125473   -0.023463    0.070731    0.107041    0.284672
         0.353135    0.387540    0.479334


 k=(    0.333333    0.444444    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137851   -0.026285    0.089041    0.135067    0.306831
         0.322233    0.400715    0.447878


 k=(    0.444444    0.444444    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143466   -0.035899    0.122144    0.155322    0.283736
         0.329990    0.342428    0.501109


 k=(    0.444444    0.444444    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155892   -0.016240    0.130911    0.150326    0.283726
         0.329357    0.351648    0.454679


 k=(    0.333333    0.444444    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165242    0.000192    0.122443    0.165163    0.289830
         0.335665    0.341500    0.475885


 k=(    0.222222    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164788    0.018348    0.097308    0.144991    0.304808
         0.334404    0.384424    0.404723


 k=(    0.111111    0.444444    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154000    0.013880    0.094611    0.118036    0.273641
         0.310805    0.401369    0.466704


 k=(    0.000000    0.444444    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133200   -0.015303    0.089611    0.116052    0.245471
         0.279251    0.479041    0.482459


 k=(   -0.111111    0.444444    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104551   -0.047804    0.083595    0.094014    0.265900
         0.279803    0.469520    0.535942


 k=(   -0.222222    0.444444    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.089973   -0.059387    0.061361    0.092607    0.277035
         0.343677    0.449398    0.457782


 k=(    0.666667    0.444444    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114248   -0.036042    0.056784    0.110244    0.294847
         0.370480    0.432309    0.446762


 k=(    0.555556    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138107   -0.025617    0.089279    0.134173    0.308806
         0.320382    0.400949    0.445762


 k=(    0.444444    0.333333    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165343    0.000488    0.123798    0.163160    0.289509
         0.335413    0.342741    0.475631


 k=(    0.333333    0.333333    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.179955    0.017494    0.165430    0.170026    0.265770
         0.329473    0.334653    0.490746


 k=(    0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184128    0.039434    0.149050    0.150888    0.287487
         0.330615    0.364860    0.405025


 k=(    0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177346    0.049581    0.122922    0.130338    0.258633
         0.324892    0.404632    0.417088


 k=(    0.000000    0.333333    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159802    0.022411    0.115980    0.121805    0.233467
         0.280593    0.469580    0.469776


 k=(   -0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133000   -0.016614    0.097150    0.110278    0.239474
         0.284374    0.480995    0.485834


 k=(   -0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.105505   -0.047359    0.064120    0.113990    0.246102
         0.342963    0.472600    0.473835


 k=(    0.666667    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.113788   -0.036122    0.048697    0.126521    0.260438
         0.422336    0.445171    0.458716


 k=(    0.555556    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141791   -0.012877    0.070034    0.145328    0.282338
         0.384274    0.386877    0.469621


 k=(    0.444444    0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164954    0.019223    0.097526    0.143721    0.306107
         0.333273    0.383823    0.404408


 k=(    0.333333    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184173    0.039813    0.147100    0.152355    0.287879
         0.331819    0.363324    0.403749


 k=(    0.222222    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192884    0.061210    0.130109    0.182530    0.301669
         0.331814    0.343424    0.428950


 k=(    0.111111    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190425    0.068445    0.120694    0.162155    0.293323
         0.343531    0.367199    0.388893


 k=(    0.000000    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176847    0.045023    0.121117    0.136666    0.261649
         0.321076    0.406677    0.419208


 k=(   -0.111111    0.222222    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153114    0.009247    0.094915    0.122634    0.272164
         0.310652    0.406595    0.466407


 k=(   -0.222222    0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123458   -0.029092    0.073796    0.107952    0.284146
         0.353731    0.389930    0.482812


 k=(    0.666667    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.112090   -0.040960    0.059641    0.110144    0.294606
         0.374914    0.427905    0.446673


 k=(    0.555556    0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137459   -0.009255    0.062825    0.124924    0.312878
         0.354257    0.384567    0.458718


 k=(    0.444444    0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154198    0.014942    0.094667    0.116882    0.274210
         0.310538    0.400055    0.466812


 k=(    0.333333    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177389    0.050157    0.120952    0.131627    0.259417
         0.324342    0.404276    0.416168


 k=(    0.222222    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190419    0.068308    0.120821    0.162226    0.293366
         0.343601    0.366988    0.388700


 k=(    0.111111    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192328    0.054805    0.136638    0.180968    0.304775
         0.338634    0.343311    0.424773


 k=(    0.000000    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183023    0.031759    0.148599    0.157987    0.292631
         0.335467    0.365892    0.398123


 k=(   -0.111111    0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163130    0.010042    0.097844    0.152275    0.307976
         0.341568    0.378026    0.402932


 k=(   -0.222222    0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134954   -0.016978    0.062470    0.131468    0.319248
         0.351893    0.384171    0.457563


 k=(   -0.333333    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110399   -0.043525    0.056505    0.114243    0.301356
         0.366967    0.425534    0.447141


 k=(    0.555556    0.111111    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.124659   -0.025411    0.070247    0.108238    0.291132
         0.347244    0.384765    0.481651


 k=(    0.444444    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133365   -0.014866    0.090096    0.115324    0.244656
         0.280031    0.477997    0.482593


 k=(    0.333333    0.000000    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159777    0.022183    0.117037    0.121039    0.233610
         0.280342    0.469421    0.469774


 k=(    0.222222    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176778    0.044154    0.123013    0.135868    0.261023
         0.321240    0.406709    0.420386


 k=(    0.111111    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182968    0.031328    0.149454    0.157749    0.292275
         0.333798    0.367735    0.399377


 k=(    0.000000    0.000000    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178115    0.008604    0.166629    0.175732    0.269637
         0.331314    0.341725    0.491544


 k=(   -0.111111    0.000000    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162683   -0.009542    0.124821    0.170477    0.293524
         0.337840    0.346801    0.472836


 k=(   -0.222222    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138136   -0.023823    0.071682    0.151758    0.288538
         0.384208    0.389057    0.464700


 k=(   -0.333333    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.109295   -0.044115    0.046715    0.132230    0.266722
         0.415435    0.438916    0.463376


 k=(    0.555556    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104479   -0.047959    0.058123    0.119249    0.252409
         0.337213    0.465623    0.473207


 k=(    0.444444   -0.111111    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104399   -0.048105    0.084091    0.093719    0.266397
         0.279225    0.469580    0.536137


 k=(    0.333333   -0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132729   -0.017453    0.096829    0.111275    0.240381
         0.283324    0.481175    0.486571


 k=(    0.222222   -0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152865    0.007938    0.095382    0.123557    0.271986
         0.310365    0.407913    0.466322


 k=(    0.111111   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162937    0.009100    0.097909    0.153348    0.306887
         0.342393    0.378607    0.403296


 k=(    0.000000   -0.111111    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162570   -0.009867    0.123863    0.172065    0.293887
         0.337997    0.345646    0.473876


 k=(   -0.111111   -0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152246   -0.027307    0.140467    0.148116    0.286032
         0.328672    0.362720    0.454685


 k=(   -0.222222   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133385   -0.037816    0.094804    0.136256    0.310380
         0.324328    0.406609    0.445201


 k=(   -0.333333   -0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108583   -0.047209    0.058487    0.114140    0.301113
         0.370239    0.422497    0.447633


 k=(    0.555556   -0.111111    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.083395   -0.067170    0.057490    0.097690    0.282977
         0.337792    0.448018    0.458424


 k=(    0.444444   -0.222222    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.088684   -0.061033    0.060688    0.093661    0.278242
         0.342388    0.449161    0.458042


 k=(    0.333333   -0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104363   -0.049256    0.063857    0.115020    0.247307
         0.341734    0.472433    0.474597


 k=(    0.222222   -0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122674   -0.030973    0.073576    0.109420    0.285130
         0.352538    0.391039    0.482510


 k=(    0.111111   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134411   -0.018594    0.062594    0.132594    0.320794
         0.351366    0.383891    0.457177


 k=(    0.000000   -0.222222    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.137785   -0.024605    0.071064    0.152979    0.290016
         0.382936    0.388094    0.465350


 k=(   -0.111111   -0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133214   -0.038061    0.093392    0.137983    0.309634
         0.326188    0.404725    0.445343


 k=(   -0.222222   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122824   -0.045128    0.082077    0.133679    0.271007
         0.391012    0.403928    0.430089


 k=(    0.333333    0.222222    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109667   -0.045664    0.060485    0.111616    0.297233
         0.374787    0.423395    0.448088


 k=(    0.444444    0.222222    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.095829   -0.051523    0.060923    0.082662    0.346738
         0.350135    0.374228    0.438978


 k=(    0.444444    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113798   -0.036747    0.055686    0.111721    0.296094
         0.369752    0.431889    0.446563


 k=(    0.333333    0.666667    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.112913   -0.037785    0.048356    0.127706    0.261714
         0.420651    0.443800    0.459536


 k=(    0.222222    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110824   -0.043344    0.059440    0.111560    0.295810
         0.375747    0.426169    0.446189


 k=(    0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109068   -0.045931    0.056431    0.115460    0.302661
         0.367683    0.424100    0.446359


 k=(    0.000000   -0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.108326   -0.045730    0.046400    0.133159    0.268135
         0.414053    0.437542    0.465294


 k=(   -0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108125   -0.047793    0.057406    0.115404    0.302548
         0.369340    0.422580    0.446584


 k=(    0.222222    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109580   -0.045713    0.059889    0.112240    0.297179
         0.375650    0.423878    0.446952


 k=(    0.333333    0.333333    0.666667):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.112016   -0.039462    0.048082    0.128773    0.263092
         0.418865    0.442330    0.460886


 k=(    0.444444    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113481   -0.037276    0.055159    0.112464    0.297568
         0.368012    0.430947    0.447254


 k=(    0.444444    0.555556    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137948   -0.025862    0.087824    0.136011    0.307740
         0.322522    0.399064    0.445837


 k=(    0.333333    0.555556    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141473   -0.013650    0.069227    0.146837    0.283645
         0.383206    0.385806    0.469673


 k=(    0.222222    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136978   -0.010819    0.062755    0.126258    0.314234
         0.353536    0.384705    0.458491


 k=(    0.111111    0.555556    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123985   -0.027071    0.069940    0.109631    0.292162
         0.346217    0.385761    0.481285


 k=(    0.000000    0.555556    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103528   -0.049458    0.057802    0.120028    0.253727
         0.336051    0.465992    0.473313


 k=(   -0.111111    0.555556    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.081969   -0.068693    0.056696    0.098529    0.284291
         0.336604    0.447606    0.458506


 k=(    0.222222    0.444444    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.095971   -0.051269    0.060717    0.082731    0.345462
         0.351663    0.374045    0.438830


 k=(    0.333333    0.444444    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113617   -0.037092    0.055643    0.111830    0.297708
         0.367101    0.430570    0.447921


 k=(    0.555556    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128005   -0.032871    0.073974    0.134789    0.271486
         0.385174    0.394438    0.434305


 k=(    0.444444    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149732   -0.000503    0.092026    0.129261    0.266251
         0.360339    0.396090    0.407818


 k=(    0.333333    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164808    0.018814    0.095613    0.146384    0.305534
         0.336027    0.383081    0.400937


 k=(    0.222222    0.444444    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169704    0.028586    0.084911    0.164768    0.302281
         0.366318    0.374107    0.419601


 k=(    0.111111    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164006    0.013941    0.099870    0.145729    0.310660
         0.335164    0.378561    0.405937


 k=(    0.000000    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148038   -0.006921    0.092898    0.133194    0.270733
         0.356016    0.397208    0.410330


 k=(   -0.111111    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123161   -0.028840    0.068015    0.113078    0.291177
         0.346343    0.389545    0.477969


 k=(   -0.222222    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.094307   -0.053729    0.059536    0.084838    0.343380
         0.355081    0.374331    0.437167


 k=(    0.666667    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.097470   -0.048929    0.061661    0.080857    0.347690
         0.348287    0.373449    0.440649


 k=(    0.555556    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125887   -0.022064    0.069313    0.107181    0.287586
         0.350079    0.385664    0.479192


 k=(    0.444444    0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164966    0.019476    0.096628    0.144437    0.306486
         0.334059    0.383132    0.402566


 k=(    0.333333    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184219    0.040227    0.145712    0.153207    0.288263
         0.333302    0.361515    0.402508


 k=(    0.222222    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192966    0.061926    0.130829    0.180542    0.301380
         0.333594    0.342430    0.428559


 k=(    0.111111    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190546    0.070183    0.120219    0.160521    0.293742
         0.343035    0.366536    0.389174


 k=(    0.000000    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177015    0.046835    0.119018    0.136786    0.261857
         0.321398    0.405911    0.417654


 k=(   -0.111111    0.333333    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153340    0.010430    0.094539    0.121784    0.272506
         0.310660    0.405298    0.466395


 k=(   -0.222222    0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123731   -0.028499    0.074542    0.106718    0.284370
         0.353727    0.388664    0.484177


 k=(    0.666667    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.112183   -0.040889    0.060245    0.109492    0.294664
         0.374003    0.427398    0.447929


 k=(    0.555556    0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137448   -0.009311    0.062870    0.124941    0.312818
         0.354478    0.384368    0.458581


 k=(    0.444444    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169973    0.030302    0.084740    0.163071    0.301054
         0.367741    0.373548    0.420108


 k=(    0.333333    0.222222    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.193047    0.062591    0.131789    0.178348    0.301176
         0.335912    0.340849    0.428281


 k=(    0.222222    0.222222    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205870    0.086461    0.177001    0.181749    0.279018
         0.328029    0.332508    0.438876


 k=(    0.111111    0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207409    0.108006    0.160523    0.168109    0.285369
         0.332392    0.359311    0.385707


 k=(    0.000000    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197525    0.094416    0.142238    0.149381    0.254361
         0.336380    0.397164    0.398120


 k=(   -0.111111    0.222222    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176849    0.044455    0.128862    0.130134    0.257940
         0.323684    0.407121    0.421692


 k=(   -0.222222    0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148066   -0.007987    0.101580    0.126259    0.263204
         0.362270    0.397650    0.416522


 k=(   -0.333333    0.222222    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.125303   -0.040034    0.081577    0.131545    0.268441
         0.389923    0.403422    0.432844


 k=(    0.555556    0.222222    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.140640   -0.017235    0.073521    0.144831    0.282209
         0.386923    0.391653    0.466432


 k=(    0.444444    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164364    0.015746    0.099891    0.144000    0.310256
         0.333456    0.379711    0.406287


 k=(    0.333333    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190662    0.071768    0.120079    0.158743    0.294273
         0.342522    0.365721    0.389313


 k=(    0.222222    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207432    0.108615    0.161575    0.166256    0.285662
         0.333162    0.358179    0.385018


 k=(    0.111111    0.111111    0.222222):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213043    0.121784    0.157146    0.195707    0.312774
         0.317129    0.322974    0.399145


 k=(    0.000000    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207136    0.100939    0.165595    0.170637    0.287360
         0.334453    0.358971    0.384559


 k=(   -0.111111    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190060    0.064034    0.120845    0.167630    0.291979
         0.343828    0.370072    0.388810


 k=(   -0.222222    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163481    0.011448    0.098809    0.150328    0.303953
         0.338473    0.382773    0.408167


 k=(   -0.333333    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135115   -0.033524    0.092176    0.136540    0.307377
         0.324838    0.404002    0.447931


 k=(    0.555556    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135828   -0.031835    0.092954    0.134153    0.312526
         0.320116    0.404984    0.441955


 k=(    0.444444    0.000000    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148461   -0.005369    0.092563    0.132447    0.269485
         0.357157    0.396462    0.410172


 k=(    0.333333    0.000000    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177115    0.047734    0.118891    0.136062    0.261448
         0.321909    0.405098    0.417353


 k=(    0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197518    0.094043    0.143555    0.148530    0.254437
         0.336156    0.397228    0.397871


 k=(    0.111111    0.000000    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207107    0.100180    0.165162    0.172169    0.287121
         0.333554    0.359990    0.384991


 k=(    0.000000    0.000000    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205252    0.077742    0.179183    0.188601    0.283565
         0.328418    0.336848    0.435088


 k=(   -0.111111    0.000000    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192075    0.052984    0.133767    0.187444    0.305131
         0.332348    0.347760    0.425545


 k=(   -0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168603    0.022149    0.085418    0.171324    0.306959
         0.361221    0.376654    0.417547


 k=(   -0.333333    0.000000    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138984   -0.020978    0.069508    0.152122    0.288610
         0.381218    0.386885    0.467507


 k=(    0.555556    0.000000    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124753   -0.040089    0.074716    0.138137    0.274946
         0.386089    0.395848    0.430784


 k=(    0.444444   -0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123567   -0.027820    0.067694    0.112882    0.289856
         0.347367    0.389882    0.476986


 k=(    0.333333   -0.111111    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153316    0.010254    0.094749    0.121786    0.272672
         0.310392    0.405347    0.466203


 k=(    0.222222   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176724    0.043271    0.128821    0.131434    0.258504
         0.322792    0.407563    0.422292


 k=(    0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189931    0.062400    0.121385    0.169152    0.291682
         0.343831    0.370943    0.388690


 k=(    0.000000   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.191988    0.052294    0.133235    0.189232    0.305470
         0.330636    0.348713    0.425962


 k=(   -0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182815    0.030216    0.151201    0.157566    0.291169
         0.330132    0.371984    0.403299


 k=(   -0.222222   -0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163041    0.009011    0.100947    0.149999    0.306635
         0.338017    0.380636    0.410278


 k=(   -0.333333   -0.111111    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134922   -0.017114    0.062569    0.131518    0.319007
         0.352541    0.383699    0.457112


 k=(   -0.444444   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109867   -0.044125    0.054571    0.116628    0.300793
         0.370371    0.427443    0.444635


 k=(    0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.094148   -0.053997    0.059720    0.084788    0.343905
         0.354258    0.374566    0.437306


 k=(    0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123225   -0.029806    0.075069    0.106977    0.285592
         0.352506    0.388550    0.485129


 k=(    0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147595   -0.009678    0.101760    0.127355    0.264368
         0.360929    0.398096    0.417170


 k=(    0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163096    0.009572    0.099092    0.151842    0.304560
         0.339874    0.381626    0.407855


 k=(    0.000000   -0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168318    0.020508    0.085752    0.172720    0.308432
         0.359666    0.377538    0.416946


 k=(   -0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162875    0.008380    0.100134    0.151661    0.305940
         0.339617    0.380580    0.408913


 k=(   -0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147123   -0.011326    0.102044    0.128258    0.265620
         0.359573    0.398734    0.417604


 k=(   -0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122445   -0.031656    0.074832    0.108409    0.286660
         0.351268    0.389671    0.484812


 k=(   -0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.093151   -0.055462    0.059530    0.085498    0.344610
         0.353929    0.375026    0.436425


 k=(    0.444444    0.666667    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.096615   -0.050306    0.061324    0.081786    0.347245
         0.349107    0.373877    0.439890


 k=(    0.333333    0.666667    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.111003   -0.043223    0.060638    0.110286    0.295923
         0.373970    0.425179    0.448588


 k=(   -0.222222    0.333333   -0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124092   -0.042565    0.081789    0.132688    0.269671
         0.390342    0.403805    0.431503


 k=(    0.111111   -0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134096   -0.035913    0.092091    0.138144    0.308086
         0.326456    0.403414    0.446731


 k=(    0.000000   -0.333333    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138217   -0.023189    0.069994    0.153165    0.290051
         0.381402    0.387016    0.466879


 k=(   -0.111111   -0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134398   -0.018644    0.062630    0.132613    0.320691
         0.351619    0.383719    0.457000


 k=(   -0.222222   -0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122166   -0.032230    0.074085    0.109618    0.286422
         0.351297    0.390894    0.483560


 k=(   -0.333333   -0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103189   -0.051145    0.063630    0.115932    0.248598
         0.340468    0.473305    0.474329


 k=(   -0.444444   -0.333333    0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.087419   -0.062590    0.060015    0.094615    0.279535
         0.341077    0.448522    0.458583


 k=(    0.444444    0.555556    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125619   -0.022709    0.068680    0.108387    0.287291
         0.350084    0.386988    0.477856


 k=(    0.333333    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136947   -0.010966    0.062871    0.126303    0.314061
         0.354132    0.384188    0.458110


 k=(    0.222222    0.555556    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139908   -0.019434    0.073813    0.146161    0.283477
         0.387349    0.391636    0.465166


 k=(    0.111111    0.555556    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134851   -0.034167    0.092737    0.135862    0.312800
         0.322186    0.404465    0.440685


 k=(    0.000000    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.123573   -0.042555    0.075107    0.138980    0.276311
         0.386926    0.395738    0.429469


 k=(    0.111111    0.444444   -0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108672   -0.046350    0.054975    0.117220    0.302238
         0.370166    0.425578    0.444579


 k=(    0.222222    0.444444   -0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.092245   -0.056730    0.059156    0.086266    0.344654
         0.354550    0.375235    0.435431


 k=(    0.333333    0.444444   -0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.087520   -0.062451    0.059967    0.094615    0.279546
         0.341111    0.447989    0.458976


 k=(    0.555556    0.555556    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107273   -0.043338    0.059306    0.116251    0.248979
         0.340439    0.465700    0.471688


 k=(    0.444444    0.444444    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133965   -0.013123    0.091689    0.112436    0.242313
         0.282553    0.478357    0.479609


 k=(    0.333333    0.444444    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153962    0.013578    0.095020    0.117984    0.273928
         0.310355    0.401439    0.466415


 k=(    0.222222    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163954    0.013318    0.101748    0.144422    0.309846
         0.333670    0.379817    0.409434


 k=(    0.111111    0.444444    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163557   -0.006657    0.128474    0.163340    0.291734
         0.336920    0.349308    0.472868


 k=(    0.000000    0.444444    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153234   -0.024248    0.131539    0.154970    0.287247
         0.333237    0.353593    0.450162


 k=(   -0.111111    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134345   -0.034884    0.088553    0.141139    0.309753
         0.328291    0.399158    0.441074


 k=(   -0.222222    0.444444    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109392   -0.045285    0.055939    0.115931    0.299234
         0.373711    0.426716    0.444049


 k=(    0.666667    0.444444    0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.085013   -0.065335    0.058133    0.096859    0.281647
         0.339114    0.447590    0.458852


 k=(    0.555556    0.444444    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105867   -0.045473    0.085103    0.091185    0.267915
         0.278179    0.465172    0.535563


 k=(    0.444444    0.333333    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154184    0.014826    0.094831    0.116855    0.274321
         0.310367    0.400080    0.466706


 k=(    0.333333    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177438    0.050847    0.119082    0.132673    0.260201
         0.323817    0.404234    0.414963


 k=(    0.222222    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190538    0.069950    0.120442    0.160627    0.293815
         0.343155    0.366183    0.388870


 k=(    0.111111    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192524    0.056711    0.136148    0.179342    0.303750
         0.338630    0.342818    0.425291


 k=(    0.000000    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183308    0.033764    0.146475    0.158205    0.291892
         0.336170    0.363793    0.398015


 k=(   -0.111111    0.333333    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163525    0.012148    0.096724    0.151477    0.307621
         0.340979    0.378533    0.401416


 k=(   -0.222222    0.333333    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135475   -0.015393    0.062341    0.130388    0.317514
         0.352834    0.384151    0.457789


 k=(   -0.333333    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110837   -0.042924    0.057547    0.112982    0.299870
         0.367882    0.425662    0.447995


 k=(    0.555556    0.333333    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.124654   -0.025679    0.071768    0.106996    0.289837
         0.348725    0.384478    0.483080


 k=(    0.444444    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164341    0.015434    0.100861    0.143312    0.309843
         0.332722    0.380353    0.408036


 k=(    0.333333    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190659    0.071675    0.120171    0.158780    0.294302
         0.342570    0.365583    0.389200


 k=(    0.222222    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207456    0.109357    0.162559    0.164315    0.285927
         0.334092    0.356952    0.384361


 k=(    0.111111    0.222222    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213097    0.123805    0.156560    0.193645    0.312082
         0.318933    0.321866    0.399000


 k=(    0.000000    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207222    0.103162    0.163583    0.170046    0.287202
         0.335035    0.357772    0.384134


 k=(   -0.111111    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190184    0.065645    0.120280    0.166232    0.292308
         0.343714    0.369133    0.388843


 k=(   -0.222222    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163645    0.012108    0.099590    0.148670    0.304609
         0.336847    0.382892    0.409575


 k=(   -0.333333    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135279   -0.033279    0.093603    0.134790    0.308053
         0.323021    0.405955    0.447795


 k=(    0.555556    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135840   -0.031964    0.094409    0.132726    0.312952
         0.318483    0.406823    0.442854


 k=(    0.444444    0.111111    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.164094   -0.004657    0.128359    0.161826    0.290866
         0.335936    0.349020    0.473621


 k=(    0.333333    0.111111    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192717    0.058621    0.135848    0.177478    0.302885
         0.339512    0.341355    0.425857


 k=(    0.222222    0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213150    0.125776    0.156343    0.191246    0.312132
         0.320051    0.320758    0.398808


 k=(    0.111111    0.111111    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222684    0.162995    0.191033    0.196226    0.293749
         0.311784    0.315371    0.365316


 k=(    0.000000    0.111111    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220647    0.163577    0.176761    0.187264    0.283109
         0.331963    0.335725    0.356947


 k=(   -0.111111    0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207152    0.101569    0.159982    0.176470    0.285395
         0.330992    0.362783    0.386983


 k=(   -0.222222    0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183293    0.033440    0.148897    0.157035    0.288995
         0.328882    0.371070    0.405582


 k=(   -0.333333    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153673   -0.023237    0.140149    0.145904    0.283969
         0.326670    0.361999    0.457095


 k=(    0.555556    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140535   -0.042905    0.130210    0.150430    0.283956
         0.328007    0.353076    0.504344


 k=(    0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153920   -0.022244    0.131002    0.154288    0.286264
         0.331695    0.353685    0.451364


 k=(    0.333333    0.000000    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183537    0.035342    0.145587    0.157767    0.290886
         0.335100    0.363611    0.399129


 k=(    0.222222    0.000000    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207280    0.104601    0.162303    0.169819    0.286859
         0.334656    0.357645    0.384141


 k=(    0.111111    0.000000    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220645    0.162490    0.178784    0.186434    0.283068
         0.332584    0.334987    0.356888


 k=(    0.000000    0.000000    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222551    0.152073    0.194847    0.205397    0.299404
         0.308613    0.314664    0.362755


 k=(   -0.111111    0.000000    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212880    0.117065    0.156861    0.202952    0.309998
         0.317426    0.325257    0.399502


 k=(   -0.222222    0.000000    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192301    0.055435    0.131287    0.188138    0.303768
         0.329556    0.347911    0.427258


 k=(   -0.333333    0.000000    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163563   -0.006151    0.121909    0.171490    0.292382
         0.335051    0.345054    0.474844


 k=(   -0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140251   -0.043219    0.122420    0.159331    0.286068
         0.331801    0.344748    0.503679


 k=(    0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135163   -0.032796    0.087321    0.141263    0.308397
         0.328378    0.397786    0.442426


 k=(    0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163726    0.013297    0.095722    0.151699    0.306275
         0.341232    0.379627    0.400137


 k=(    0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190179    0.065519    0.120390    0.166310    0.292347
         0.343768    0.368943    0.388644


 k=(    0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207089    0.099978    0.161277    0.176985    0.285788
         0.331220    0.362818    0.386721


 k=(    0.000000   -0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212824    0.115324    0.157466    0.204799    0.310055
         0.316443    0.326205    0.399525


 k=(   -0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207027    0.098482    0.162649    0.177280    0.286204
         0.331526    0.362826    0.386492


 k=(   -0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190052    0.063844    0.121006    0.167761    0.292036
         0.343910    0.369781    0.388486


 k=(   -0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163539    0.012325    0.095851    0.152730    0.305216
         0.342108    0.380197    0.400434


 k=(   -0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135010   -0.033171    0.087299    0.141636    0.307707
         0.329003    0.397654    0.443481


 k=(   -0.444444    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110215   -0.043593    0.055035    0.115994    0.299269
         0.372170    0.428160    0.444184


 k=(   -0.333333    0.222222   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135455   -0.015480    0.062405    0.130419    0.317380
         0.353226    0.383847    0.457520


 k=(   -0.222222    0.222222   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163424    0.010862    0.100688    0.148522    0.305908
         0.336650    0.381801    0.410628


 k=(   -0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183054    0.031810    0.149800    0.157595    0.290040
         0.329433    0.371613    0.404440


 k=(    0.000000    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192102    0.053495    0.132021    0.189594    0.304755
         0.329219    0.348818    0.426846


 k=(    0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189928    0.062332    0.121440    0.169203    0.291702
         0.343860    0.370838    0.388566


 k=(    0.222222    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176603    0.042167    0.129303    0.132093    0.259076
         0.321956    0.408197    0.422721


 k=(   -0.333333   -0.222222    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153076    0.008973    0.095233    0.122648    0.272424
         0.310229    0.406675    0.466093


 k=(   -0.444444   -0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123287   -0.028681    0.068471    0.112873    0.288353
         0.348807    0.390904    0.477040


 k=(    0.555556    0.333333   -0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.084880   -0.065505    0.058179    0.096862    0.281635
         0.339082    0.448096    0.458487


 k=(   -0.333333    0.333333   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109963   -0.044749    0.058555    0.112935    0.299741
         0.369494    0.424132    0.448280


 k=(   -0.222222    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134430   -0.035422    0.094931    0.134666    0.309496
         0.322790    0.407252    0.446450


 k=(   -0.111111    0.333333   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152967   -0.025275    0.139960    0.147397    0.284959
         0.327547    0.362488    0.455916


 k=(    0.000000    0.333333   -0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163015   -0.008179    0.122420    0.172588    0.293285
         0.336249    0.345126    0.474881


 k=(    0.111111    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163145    0.010234    0.096918    0.153579    0.305477
         0.342680    0.379673    0.402086


 k=(    0.222222    0.333333   -0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152850    0.007838    0.095495    0.123567    0.272081
         0.310209    0.407944    0.466201


 k=(    0.333333    0.333333   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132475   -0.018217    0.096542    0.112137    0.241322
         0.282290    0.481735    0.486956


 k=(    0.444444    0.333333   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103905   -0.048994    0.084494    0.093828    0.266425
         0.279049    0.470734    0.536280


 k=(    0.444444    0.555556    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105474   -0.046201    0.085104    0.091618    0.267608
         0.278354    0.466346    0.535785


 k=(    0.333333    0.555556    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123954   -0.027655    0.072988    0.107177    0.289631
         0.348997    0.385295    0.484149


 k=(    0.222222    0.555556    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134868   -0.034429    0.095587    0.133071    0.313379
         0.319206    0.408009    0.442586


 k=(    0.111111    0.555556    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139371   -0.045422    0.130208    0.151791    0.284869
         0.328972    0.353441    0.505317


 k=(    0.000000    0.444444   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139081   -0.045742    0.122862    0.160195    0.286992
         0.333682    0.344232    0.504561


 k=(    0.111111    0.444444   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134026   -0.035638    0.088490    0.141900    0.308331
         0.329566    0.398835    0.443288


 k=(    0.222222    0.444444   -0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122575   -0.030590    0.069571    0.113063    0.288208
         0.349088    0.391632    0.478199


 k=(    0.333333    0.444444   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103504   -0.049690    0.084495    0.094206    0.266139
         0.279235    0.471804    0.536222


 k=(    0.444444    0.444444   -0.111111):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.082576   -0.073238    0.084195    0.105421    0.236024
         0.268058    0.540735    0.551822


 k=(    0.444444    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.108811   -0.046953    0.104085    0.106164    0.228714
         0.243582    0.544760    0.544922


 k=(    0.333333    0.444444    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132949   -0.016432    0.092452    0.114499    0.243349
         0.280855    0.478920    0.485051


 k=(    0.222222    0.444444    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147834   -0.008180    0.096196    0.131337    0.267955
         0.358389    0.396533    0.413803


 k=(    0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153118   -0.024694    0.134005    0.152936    0.286286
         0.330061    0.358104    0.452365


 k=(    0.000000    0.444444    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.149636   -0.040270    0.158548    0.169602    0.261338
         0.324298    0.337392    0.491002


 k=(   -0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139196   -0.045612    0.125175    0.157520    0.286062
         0.330572    0.349195    0.504764


 k=(    0.222222    0.555556    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.123754   -0.042612    0.077516    0.136862    0.273348
         0.388057    0.399761    0.429887


 k=(    0.333333    0.555556    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103731   -0.049622    0.060126    0.118356    0.250897
         0.338497    0.468006    0.474283


 k=(    0.555556    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.079707   -0.076170    0.082127    0.107525    0.238142
         0.266012    0.539618    0.551498


 k=(    0.444444    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133251   -0.015394    0.091473    0.114557    0.243553
         0.280892    0.477959    0.483860


 k=(    0.333333    0.333333    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159763    0.022047    0.117957    0.120293    0.233696
         0.280191    0.469387    0.469711


 k=(    0.222222    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176884    0.045093    0.122741    0.135240    0.260543
         0.321852    0.405856    0.420129


 k=(    0.111111    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183200    0.032890    0.148150    0.157764    0.291171
         0.332786    0.367583    0.400500


 k=(    0.000000    0.333333    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178492    0.010371    0.165020    0.176112    0.268754
         0.329258    0.341963    0.491053


 k=(   -0.111111    0.333333    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163237   -0.007526    0.124298    0.169449    0.292537
         0.336007    0.347386    0.472820


 k=(   -0.222222    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138909   -0.021608    0.071192    0.150741    0.287038
         0.383657    0.389294    0.465445


 k=(   -0.333333    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.110247   -0.042467    0.046973    0.131318    0.265263
         0.417050    0.440397    0.461407


 k=(    0.555556    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104602   -0.047998    0.059255    0.118421    0.250973
         0.338477    0.466573    0.473703


 k=(    0.444444    0.222222    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148365   -0.005998    0.094201    0.131532    0.268073
         0.358455    0.395997    0.411946


 k=(    0.333333    0.222222    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177052    0.046863    0.120729    0.135302    0.260759
         0.322201    0.405010    0.418650


 k=(    0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197514    0.093823    0.144641    0.147719    0.254482
         0.336022    0.397380    0.397607


 k=(    0.111111    0.222222    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207165    0.101583    0.163557    0.172294    0.286732
         0.333155    0.359928    0.385068


 k=(    0.000000    0.222222    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205377    0.079451    0.177335    0.188797    0.282515
         0.326951    0.337397    0.435840


 k=(   -0.111111    0.222222    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192275    0.054911    0.133023    0.186056    0.304041
         0.332471    0.347134    0.425966


 k=(   -0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168886    0.023848    0.085018    0.169954    0.305409
         0.362896    0.375768    0.418153


 k=(   -0.333333    0.222222    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139324   -0.020177    0.070088    0.150920    0.287076
         0.382231    0.388168    0.466730


 k=(    0.555556    0.222222    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124846   -0.040113    0.075910    0.137088    0.273441
         0.386684    0.397892    0.430942


 k=(    0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153865   -0.022466    0.132202    0.153303    0.285776
         0.330090    0.355980    0.452443


 k=(    0.333333    0.111111    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183484    0.034899    0.146450    0.157521    0.290522
         0.333384    0.365559    0.400359


 k=(    0.222222    0.111111    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207252    0.103778    0.162515    0.170733    0.286627
         0.333671    0.358784    0.384644


 k=(    0.111111    0.111111    0.000000):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220645    0.161928    0.180116    0.185729    0.283044
         0.333357    0.334143    0.356853


 k=(    0.000000    0.111111    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222578    0.154112    0.192584    0.205309    0.297998
         0.308243    0.316002    0.363265


 k=(   -0.111111    0.111111    0.000000):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212935    0.118959    0.156049    0.201202    0.309630
         0.318889    0.324116    0.399460


 k=(   -0.222222    0.111111    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192387    0.056162    0.131758    0.186388    0.303394
         0.331112    0.347160    0.426794


 k=(   -0.333333    0.111111    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163673   -0.005822    0.122831    0.169937    0.291997
         0.334878    0.346244    0.473820


 k=(   -0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140307   -0.043155    0.123553    0.158017    0.285594
         0.330264    0.347224    0.503743


 k=(   -0.444444    0.000000    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.150595   -0.037986    0.157588    0.169434    0.260580
         0.323069    0.336767    0.490123


 k=(   -0.333333    0.000000    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178866    0.012149    0.163959    0.175861    0.267931
         0.328054    0.341367    0.491123


 k=(   -0.222222    0.000000    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205502    0.081188    0.176028    0.188365    0.281542
         0.326170    0.337250    0.436589


 k=(   -0.111111    0.000000    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222604    0.156268    0.190780    0.204597    0.296719
         0.308458    0.316681    0.363765


 k=(    0.000000    0.000000    0.000000):       259 3-d basis functions
 the   8 eigenvalues are:
        -0.228429    0.198311    0.203902    0.215994    0.293994
         0.300756    0.304268    0.321011


 fermi energy and band-weighting factors:

FERMIE:
          first approx. to ef    (T=0)  :  0.215994 htr   (energy of the highest occ. eigenvalue)
          number of occ. states  (T=0)  :      1460
          first approx. to seigv (T=0)  :  0.176446 htr
          sum of weights of occ. states :  4.000000
          sum of semicore eigenvalues   :  0.000000 htr
          sum of semicore charge        :  0.000000 e



FERHIS:  Fermi-Energy by histogram:

          bandgap                     :   0.012007 htr
          charge neutrality (T=0)     :   0.000000    (zero if the highest occ. eigenvalue is "entirely" occupied)

     EF_NEWTON:  Adjust Fermi-Energy by Newton-Method.

               Number of iterations needed  :   4
               The error in the weight is   :  0.81922E-14
               The error in ef is           : -0.58844E-12 htr


     -->  new fermi energy            :   0.221269 htr
          valence charge              :   8.000000 e 
          actual charge blw ef-8kt    :   7.997257 e 
          actual charge blw ef+8kt    :   8.000000 e 
          number of occ. states       :      1463
          sum of the valence weights  :   4.000000
          entropy         :   0.000200 *kb htr/K =   0.00000 htr/K

          sum of val. single particle energies:         0.1764462951 htr



          valence density: spin= 1

     l-like charge
     atom     s        p        d        f        total
 --> 1    0.89050  1.17094  0.08212  0.00603    2.15119
 --> 2    0.89050  1.17094  0.08212  0.00603    2.15119
 Energy Parameters for spin:           1
 Max. mismatch of energy parameters:    0.000000

     energy parameters for window 1
     atom     s        p        d        f
 -->  1   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0
 -->  2   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0

          total charge for spin  1=    8.000000
          interst. charge =       3.697628
          mt charge=              2.151186    2.151186

          total charge  =    8.000000


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.2037        2.
               2.   0.   0.5   -4.7107        2.
               2.   1.   0.5   -3.1110        2.
               2.   1.   1.5   -3.0872        4.
          atom type  1  (spin 1) 
          kinetic energy=  0.285372365574E+03     sum of the eigenvalues= -0.158399795174E+03
          0.00178912  electrons lost from core.


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.2037        2.
               2.   0.   0.5   -4.7107        2.
               2.   1.   0.5   -3.1110        2.
               2.   1.   1.5   -3.0872        4.
          atom type  2  (spin 1) 
          kinetic energy=  0.285372365581E+03     sum of the eigenvalues= -0.158399795229E+03
          0.00178912  electrons lost from core.

          alpha=   1.39394     acoff=   0.09674

          alpha=   1.39394     acoff=   0.09674

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*



     t o t a l  e n e r g y

          sum of eigenvalues =              -316.6231441088

          density-coulomb potential int     -844.4026100507

          density-effective potential i     -898.3127841620

          charge density-ex.-corr.energ      -41.7445141139
 
 FORCES: EQUATION A3 FOR ATOM TYPE   1
 FX_A3= -0.013532  0.000000 FY_A3= -0.008921  0.000000 FZ_A3= -0.004206  0.000000
 FORCES: EQUATION A3 FOR ATOM TYPE   2
 FX_A3=  0.013532  0.000000 FY_A3=  0.008921  0.000000 FZ_A3=  0.004206  0.000000

          el.-nucl. inter. diff. m.t.        342.2718666703

          Madelung term for atom type:        -6.6358159737

          el.-nucl. inter. diff. m.t.        342.2718666064

          Madelung term for atom type:        -6.6358159987


 ----> total energy=                        -580.0715443352 htr

 ***** TOTAL FORCES ON ATOMS ***** 

 TOTAL FORCE FOR ATOM TYPE=  1  X=  1.292   Y=  1.292   Z=  1.292
                       FX_TOT=-0.013532 FY_TOT=-0.008921 FZ_TOT=-0.004206
 TOTAL FORCE FOR ATOM TYPE=  2  X= -1.369   Y= -1.344   Z= -1.318
                       FX_TOT= 0.013532 FY_TOT= 0.008921 FZ_TOT= 0.004206
eps_force= 0.00001max= 0.00000


 ---->(tkb*entropy) TS=                        0.0000001998 htr


 ----> free energy=                         -580.0715445350 htr


      extrapolation for T->0
 ----> total electron energy=               -580.0715444351 htr
 wrtdop title:alpha Si                                                                ordered*
 wrtdop title:alpha Si                                                                ordered*
     <vi|w|Fm> for it 2       0.000000
     <vi|w|Fm> for it 3       0.000000
     <vi|w|Fm> for it 4       0.000000
     <vi|w|Fm> for it 5       0.000001
     <vi|w|Fm> for it 6       0.000001
     <vi|w|Fm> for it 7       0.000006
     <vi|w|Fm> for it 8       0.000102
     <vi|w|Fm> for it 9       0.000051
     <vi|w|Fm> for it10       0.002088
     <vi|w|Fm> for it11      -0.001438
     <vi|w|Fm> for it12       0.003012
     <vi|w|Fm> for it13      -0.028457
     <vi|w|Fm> for it14       0.087099
     <vi|w|Fm> for it15      -0.047643

----> distance of charge densities for spin  1        it= 16:   0.000000 me/bohr**3

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*

     ******* it= 16  is completed********



             it=       17

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*


          p o t e n t i a l   g e n e r a t o r


          multipole moments for atom type=    1

  l   m                   original                      plane wave
  0   0          -0.52203E+00    0.00000E+00         0.77848E+00   -0.18829E-14
  1   0           0.16734E-02    0.00000E+00         0.14127E-02   -0.12823E-14
  1   1          -0.49363E-02    0.31538E-02        -0.40563E-02    0.25988E-02
  1  -1           0.49363E-02    0.31538E-02         0.40563E-02    0.25988E-02
  1   1          -0.49363E-02    0.31538E-02        -0.40563E-02    0.25988E-02
  1  -1           0.49363E-02    0.31538E-02         0.40563E-02    0.25988E-02
  2   0           0.52203E-03    0.00000E+00         0.49875E-03    0.12137E-16
  2   1           0.12346E-01   -0.18690E-01         0.11743E-01   -0.17751E-01
  2  -1          -0.12346E-01   -0.18690E-01        -0.11743E-01   -0.17751E-01
  2   2          -0.29032E-03    0.58685E-02        -0.27746E-03    0.56344E-02
  2  -2          -0.29032E-03   -0.58685E-02        -0.27746E-03   -0.56344E-02
  2   1           0.12346E-01   -0.18690E-01         0.11743E-01   -0.17751E-01
  2  -1          -0.12346E-01   -0.18690E-01        -0.11743E-01   -0.17751E-01
  2   2          -0.29032E-03    0.58685E-02        -0.27746E-03    0.56344E-02
  2  -2          -0.29032E-03   -0.58685E-02        -0.27746E-03   -0.56344E-02
  3   0          -0.84953E-02    0.00000E+00        -0.82483E-02   -0.13193E-14
  3   1          -0.10736E-01    0.72030E-02        -0.10356E-01    0.69547E-02
  3  -1           0.10736E-01    0.72030E-02         0.10356E-01    0.69547E-02
  3   2          -0.55444E-05    0.46967E+00        -0.47340E-05    0.46256E+00
  3  -2          -0.55444E-05   -0.46967E+00        -0.47340E-05   -0.46256E+00
  3   3           0.13842E-01    0.92682E-02         0.13355E-01    0.89520E-02
  3  -3          -0.13842E-01    0.92682E-02        -0.13355E-01    0.89520E-02
  3   1          -0.10736E-01    0.72030E-02        -0.10356E-01    0.69547E-02
  3  -1           0.10736E-01    0.72030E-02         0.10356E-01    0.69547E-02
  3   2          -0.55444E-05    0.46967E+00        -0.47340E-05    0.46256E+00
  3  -2          -0.55444E-05   -0.46967E+00        -0.47340E-05   -0.46256E+00
  3   3           0.13842E-01    0.92682E-02         0.13355E-01    0.89520E-02
  3  -3          -0.13842E-01    0.92682E-02        -0.13355E-01    0.89520E-02
  4   0          -0.27309E+00    0.00000E+00        -0.26912E+00    0.99696E-15
  4   1           0.34670E-03   -0.37978E-03         0.41295E-03   -0.48739E-03
  4  -1          -0.34670E-03   -0.37978E-03        -0.41295E-03   -0.48739E-03
  4   2          -0.31491E-03   -0.10924E-02        -0.30581E-03   -0.11522E-02
  4  -2          -0.31491E-03    0.10924E-02        -0.30581E-03    0.11522E-02
  4   3           0.83823E-03    0.95989E-03         0.10181E-02    0.12472E-02
  4  -3          -0.83823E-03    0.95989E-03        -0.10181E-02    0.12472E-02
  4   4          -0.16268E+00   -0.84935E-05        -0.16032E+00   -0.79850E-05
  4  -4          -0.16268E+00    0.84935E-05        -0.16032E+00    0.79850E-05
  4   1           0.34670E-03   -0.37978E-03         0.41295E-03   -0.48739E-03
  4  -1          -0.34670E-03   -0.37978E-03        -0.41295E-03   -0.48739E-03
  4   2          -0.31491E-03   -0.10924E-02        -0.30581E-03   -0.11522E-02
  4  -2          -0.31491E-03    0.10924E-02        -0.30581E-03    0.11522E-02
  4   3           0.83823E-03    0.95989E-03         0.10181E-02    0.12472E-02
  4  -3          -0.83823E-03    0.95989E-03        -0.10181E-02    0.12472E-02
  4   4          -0.16268E+00   -0.84935E-05        -0.16032E+00   -0.79850E-05
  4  -4          -0.16268E+00    0.84935E-05        -0.16032E+00    0.79850E-05
  5   0           0.53228E-02    0.00000E+00         0.52640E-02   -0.73957E-15
  5   1           0.43744E-02   -0.27155E-02         0.42149E-02   -0.26121E-02
  5  -1          -0.43744E-02   -0.27155E-02        -0.42149E-02   -0.26121E-02
  5   2           0.77404E-05    0.61510E-03         0.76072E-05    0.60126E-03
  5  -2           0.77404E-05   -0.61510E-03         0.76072E-05   -0.60126E-03
  5   3           0.17820E-01    0.11793E-01         0.17488E-01    0.11572E-01
  5  -3          -0.17820E-01    0.11793E-01        -0.17488E-01    0.11572E-01
  5   4          -0.46735E-02   -0.48302E-03        -0.45591E-02   -0.47202E-03
  5  -4          -0.46735E-02    0.48302E-03        -0.45591E-02    0.47202E-03
  5   5          -0.37256E-02    0.26169E-02        -0.37317E-02    0.26183E-02
  5  -5           0.37256E-02    0.26169E-02         0.37317E-02    0.26183E-02
  5   1           0.43744E-02   -0.27155E-02         0.42149E-02   -0.26121E-02
  5  -1          -0.43744E-02   -0.27155E-02        -0.42149E-02   -0.26121E-02
  5   2           0.77404E-05    0.61510E-03         0.76072E-05    0.60126E-03
  5  -2           0.77404E-05   -0.61510E-03         0.76072E-05   -0.60126E-03
  5   3           0.17820E-01    0.11793E-01         0.17488E-01    0.11572E-01
  5  -3          -0.17820E-01    0.11793E-01        -0.17488E-01    0.11572E-01
  5   4          -0.46735E-02   -0.48302E-03        -0.45591E-02   -0.47202E-03
  5  -4          -0.46735E-02    0.48302E-03        -0.45591E-02    0.47202E-03
  5   5          -0.37256E-02    0.26169E-02        -0.37317E-02    0.26183E-02
  5  -5           0.37256E-02    0.26169E-02         0.37317E-02    0.26183E-02
  6   0           0.10281E+00    0.00000E+00         0.10175E+00    0.11640E-14
  6   1          -0.64039E-02    0.97175E-02        -0.63488E-02    0.96355E-02
  6  -1           0.64039E-02    0.97175E-02         0.63488E-02    0.96355E-02
  6   2           0.11843E-03   -0.60791E-02         0.11734E-03   -0.60171E-02
  6  -2           0.11843E-03    0.60791E-02         0.11734E-03    0.60171E-02
  6   3          -0.42897E-02   -0.62277E-02        -0.42488E-02   -0.61690E-02
  6  -3           0.42897E-02   -0.62277E-02         0.42488E-02   -0.61690E-02
  6   4          -0.19311E+00   -0.54792E-05        -0.19113E+00   -0.55820E-05
  6  -4          -0.19311E+00    0.54792E-05        -0.19113E+00    0.55820E-05
  6   5          -0.97093E-02    0.14433E-01        -0.96202E-02    0.14304E-01
  6  -5           0.97093E-02    0.14433E-01         0.96202E-02    0.14304E-01
  6   6           0.17606E-03   -0.20776E-02         0.17447E-03   -0.20575E-02
  6  -6           0.17606E-03    0.20776E-02         0.17447E-03    0.20575E-02
  6   1          -0.64039E-02    0.97175E-02        -0.63488E-02    0.96355E-02
  6  -1           0.64039E-02    0.97175E-02         0.63488E-02    0.96355E-02
  6   2           0.11843E-03   -0.60791E-02         0.11734E-03   -0.60171E-02
  6  -2           0.11843E-03    0.60791E-02         0.11734E-03    0.60171E-02
  6   3          -0.42897E-02   -0.62277E-02        -0.42488E-02   -0.61690E-02
  6  -3           0.42897E-02   -0.62277E-02         0.42488E-02   -0.61690E-02
  6   4          -0.19311E+00   -0.54792E-05        -0.19113E+00   -0.55820E-05
  6  -4          -0.19311E+00    0.54792E-05        -0.19113E+00    0.55820E-05
  6   5          -0.97093E-02    0.14433E-01        -0.96202E-02    0.14304E-01
  6  -5           0.97093E-02    0.14433E-01         0.96202E-02    0.14304E-01
  6   6           0.17606E-03   -0.20776E-02         0.17447E-03   -0.20575E-02
  6  -6           0.17606E-03    0.20776E-02         0.17447E-03    0.20575E-02
  7   0           0.24636E-02    0.00000E+00         0.24471E-02    0.48209E-14
  7   1           0.51584E-02   -0.35463E-02         0.51444E-02   -0.35370E-02
  7  -1          -0.51584E-02   -0.35463E-02        -0.51444E-02   -0.35370E-02
  7   2           0.24198E-05   -0.12873E+00         0.24105E-05   -0.12878E+00
  7  -2           0.24198E-05    0.12873E+00         0.24105E-05    0.12878E+00
  7   3          -0.12548E-02   -0.85873E-03        -0.12390E-02   -0.84835E-03
  7  -3           0.12548E-02   -0.85873E-03         0.12390E-02   -0.84835E-03
  7   4           0.24426E-02   -0.36118E-03         0.24431E-02   -0.36207E-03
  7  -4           0.24426E-02    0.36118E-03         0.24431E-02    0.36207E-03
  7   5          -0.27215E-02    0.18617E-02        -0.27404E-02    0.18744E-02
  7  -5           0.27215E-02    0.18617E-02         0.27404E-02    0.18744E-02
  7   6           0.43108E-05   -0.11780E+00         0.42436E-05   -0.11784E+00
  7  -6           0.43108E-05    0.11780E+00         0.42436E-05    0.11784E+00
  7   7          -0.47002E-02   -0.32247E-02        -0.46773E-02   -0.32095E-02
  7  -7           0.47002E-02   -0.32247E-02         0.46773E-02   -0.32095E-02
  7   1           0.51584E-02   -0.35463E-02         0.51444E-02   -0.35370E-02
  7  -1          -0.51584E-02   -0.35463E-02        -0.51444E-02   -0.35370E-02
  7   2           0.24198E-05   -0.12873E+00         0.24105E-05   -0.12878E+00
  7  -2           0.24198E-05    0.12873E+00         0.24105E-05    0.12878E+00
  7   3          -0.12548E-02   -0.85873E-03        -0.12390E-02   -0.84835E-03
  7  -3           0.12548E-02   -0.85873E-03         0.12390E-02   -0.84835E-03
  7   4           0.24426E-02   -0.36118E-03         0.24431E-02   -0.36207E-03
  7  -4           0.24426E-02    0.36118E-03         0.24431E-02    0.36207E-03
  7   5          -0.27215E-02    0.18617E-02        -0.27404E-02    0.18744E-02
  7  -5           0.27215E-02    0.18617E-02         0.27404E-02    0.18744E-02
  7   6           0.43108E-05   -0.11780E+00         0.42436E-05   -0.11784E+00
  7  -6           0.43108E-05    0.11780E+00         0.42436E-05    0.11784E+00
  7   7          -0.47002E-02   -0.32247E-02        -0.46773E-02   -0.32095E-02
  7  -7           0.47002E-02   -0.32247E-02         0.46773E-02   -0.32095E-02
  8   0           0.52642E-01    0.00000E+00         0.56887E-01   -0.10469E-14
  8   1           0.59093E-03   -0.93583E-03         0.52886E-03   -0.83506E-03
  8  -1          -0.59093E-03   -0.93583E-03        -0.52886E-03   -0.83506E-03
  8   2           0.10441E-03    0.31323E-02         0.11464E-03    0.34713E-02
  8  -2           0.10441E-03   -0.31323E-02         0.11464E-03   -0.34713E-02
  8   3          -0.88121E-03   -0.12354E-02        -0.11223E-02   -0.16026E-02
  8  -3           0.88121E-03   -0.12354E-02         0.11223E-02   -0.16026E-02
  8   4           0.19352E-01    0.86412E-05         0.20944E-01    0.86870E-05
  8  -4           0.19352E-01   -0.86412E-05         0.20944E-01   -0.86870E-05
  8   5          -0.56801E-02    0.85186E-02        -0.61404E-02    0.92034E-02
  8  -5           0.56801E-02    0.85186E-02         0.61404E-02    0.92034E-02
  8   6           0.32656E-03   -0.14342E-02         0.33088E-03   -0.14899E-02
  8  -6           0.32656E-03    0.14342E-02         0.33088E-03    0.14899E-02
  8   7          -0.33965E-02   -0.50344E-02        -0.38739E-02   -0.57563E-02
  8  -7           0.33965E-02   -0.50344E-02         0.38739E-02   -0.57563E-02
  8   8           0.29792E-01   -0.13932E-05         0.32206E-01   -0.21262E-05
  8  -8           0.29792E-01    0.13932E-05         0.32206E-01    0.21262E-05
  8   1           0.59093E-03   -0.93583E-03         0.52886E-03   -0.83506E-03
  8  -1          -0.59093E-03   -0.93583E-03        -0.52886E-03   -0.83506E-03
  8   2           0.10441E-03    0.31323E-02         0.11464E-03    0.34713E-02
  8  -2           0.10441E-03   -0.31323E-02         0.11464E-03   -0.34713E-02
  8   3          -0.88121E-03   -0.12354E-02        -0.11223E-02   -0.16026E-02
  8  -3           0.88121E-03   -0.12354E-02         0.11223E-02   -0.16026E-02
  8   4           0.19352E-01    0.86412E-05         0.20944E-01    0.86870E-05
  8  -4           0.19352E-01   -0.86412E-05         0.20944E-01   -0.86870E-05
  8   5          -0.56801E-02    0.85186E-02        -0.61404E-02    0.92034E-02
  8  -5           0.56801E-02    0.85186E-02         0.61404E-02    0.92034E-02
  8   6           0.32656E-03   -0.14342E-02         0.33088E-03   -0.14899E-02
  8  -6           0.32656E-03    0.14342E-02         0.33088E-03    0.14899E-02
  8   7          -0.33965E-02   -0.50344E-02        -0.38739E-02   -0.57563E-02
  8  -7           0.33965E-02   -0.50344E-02         0.38739E-02   -0.57563E-02
  8   8           0.29792E-01   -0.13932E-05         0.32206E-01   -0.21262E-05
  8  -8           0.29792E-01    0.13932E-05         0.32206E-01    0.21262E-05

          multipole moments for atom type=    2

  l   m                   original                      plane wave
  0   0          -0.52203E+00    0.00000E+00         0.77848E+00   -0.99306E-15
  1   0          -0.16734E-02    0.00000E+00        -0.14127E-02   -0.32385E-16
  1   1           0.49363E-02   -0.31538E-02         0.40563E-02   -0.25988E-02
  1  -1          -0.49363E-02   -0.31538E-02        -0.40563E-02   -0.25988E-02
  1   1           0.49363E-02   -0.31538E-02         0.40563E-02   -0.25988E-02
  1  -1          -0.49363E-02   -0.31538E-02        -0.40563E-02   -0.25988E-02
  2   0           0.52203E-03    0.00000E+00         0.49874E-03    0.33862E-16
  2   1           0.12346E-01   -0.18690E-01         0.11743E-01   -0.17751E-01
  2  -1          -0.12346E-01   -0.18690E-01        -0.11743E-01   -0.17751E-01
  2   2          -0.29035E-03    0.58685E-02        -0.27749E-03    0.56344E-02
  2  -2          -0.29035E-03   -0.58685E-02        -0.27749E-03   -0.56344E-02
  2   1           0.12346E-01   -0.18690E-01         0.11743E-01   -0.17751E-01
  2  -1          -0.12346E-01   -0.18690E-01        -0.11743E-01   -0.17751E-01
  2   2          -0.29035E-03    0.58685E-02        -0.27749E-03    0.56344E-02
  2  -2          -0.29035E-03   -0.58685E-02        -0.27749E-03   -0.56344E-02
  3   0           0.84952E-02    0.00000E+00         0.82483E-02   -0.49988E-15
  3   1           0.10736E-01   -0.72030E-02         0.10357E-01   -0.69547E-02
  3  -1          -0.10736E-01   -0.72030E-02        -0.10357E-01   -0.69547E-02
  3   2           0.55912E-05   -0.46967E+00         0.47831E-05   -0.46256E+00
  3  -2           0.55912E-05    0.46967E+00         0.47831E-05    0.46256E+00
  3   3          -0.13842E-01   -0.92682E-02        -0.13355E-01   -0.89520E-02
  3  -3           0.13842E-01   -0.92682E-02         0.13355E-01   -0.89520E-02
  3   1           0.10736E-01   -0.72030E-02         0.10357E-01   -0.69547E-02
  3  -1          -0.10736E-01   -0.72030E-02        -0.10357E-01   -0.69547E-02
  3   2           0.55912E-05   -0.46967E+00         0.47831E-05   -0.46256E+00
  3  -2           0.55912E-05    0.46967E+00         0.47831E-05    0.46256E+00
  3   3          -0.13842E-01   -0.92682E-02        -0.13355E-01   -0.89520E-02
  3  -3           0.13842E-01   -0.92682E-02         0.13355E-01   -0.89520E-02
  4   0          -0.27309E+00    0.00000E+00        -0.26912E+00    0.26191E-14
  4   1           0.34671E-03   -0.37970E-03         0.41296E-03   -0.48733E-03
  4  -1          -0.34671E-03   -0.37970E-03        -0.41296E-03   -0.48733E-03
  4   2          -0.31491E-03   -0.10925E-02        -0.30580E-03   -0.11522E-02
  4  -2          -0.31491E-03    0.10925E-02        -0.30580E-03    0.11522E-02
  4   3           0.83822E-03    0.96040E-03         0.10181E-02    0.12477E-02
  4  -3          -0.83822E-03    0.96040E-03        -0.10181E-02    0.12477E-02
  4   4          -0.16268E+00   -0.85624E-05        -0.16032E+00   -0.80561E-05
  4  -4          -0.16268E+00    0.85624E-05        -0.16032E+00    0.80561E-05
  4   1           0.34671E-03   -0.37970E-03         0.41296E-03   -0.48733E-03
  4  -1          -0.34671E-03   -0.37970E-03        -0.41296E-03   -0.48733E-03
  4   2          -0.31491E-03   -0.10925E-02        -0.30580E-03   -0.11522E-02
  4  -2          -0.31491E-03    0.10925E-02        -0.30580E-03    0.11522E-02
  4   3           0.83822E-03    0.96040E-03         0.10181E-02    0.12477E-02
  4  -3          -0.83822E-03    0.96040E-03        -0.10181E-02    0.12477E-02
  4   4          -0.16268E+00   -0.85624E-05        -0.16032E+00   -0.80561E-05
  4  -4          -0.16268E+00    0.85624E-05        -0.16032E+00    0.80561E-05
  5   0          -0.53229E-02    0.00000E+00        -0.52640E-02   -0.23165E-14
  5   1          -0.43744E-02    0.27155E-02        -0.42150E-02    0.26121E-02
  5  -1           0.43744E-02    0.27155E-02         0.42150E-02    0.26121E-02
  5   2          -0.77890E-05   -0.61502E-03        -0.76563E-05   -0.60117E-03
  5  -2          -0.77890E-05    0.61502E-03        -0.76563E-05    0.60117E-03
  5   3          -0.17820E-01   -0.11793E-01        -0.17488E-01   -0.11572E-01
  5  -3           0.17820E-01   -0.11793E-01         0.17488E-01   -0.11572E-01
  5   4           0.46737E-02    0.48354E-03         0.45594E-02    0.47257E-03
  5  -4           0.46737E-02   -0.48354E-03         0.45594E-02   -0.47257E-03
  5   5           0.37237E-02   -0.26169E-02         0.37297E-02   -0.26183E-02
  5  -5          -0.37237E-02   -0.26169E-02        -0.37297E-02   -0.26183E-02
  5   1          -0.43744E-02    0.27155E-02        -0.42150E-02    0.26121E-02
  5  -1           0.43744E-02    0.27155E-02         0.42150E-02    0.26121E-02
  5   2          -0.77890E-05   -0.61502E-03        -0.76563E-05   -0.60117E-03
  5  -2          -0.77890E-05    0.61502E-03        -0.76563E-05    0.60117E-03
  5   3          -0.17820E-01   -0.11793E-01        -0.17488E-01   -0.11572E-01
  5  -3           0.17820E-01   -0.11793E-01         0.17488E-01   -0.11572E-01
  5   4           0.46737E-02    0.48354E-03         0.45594E-02    0.47257E-03
  5  -4           0.46737E-02   -0.48354E-03         0.45594E-02   -0.47257E-03
  5   5           0.37237E-02   -0.26169E-02         0.37297E-02   -0.26183E-02
  5  -5          -0.37237E-02   -0.26169E-02        -0.37297E-02   -0.26183E-02
  6   0           0.10281E+00    0.00000E+00         0.10175E+00    0.23698E-14
  6   1          -0.64039E-02    0.97176E-02        -0.63488E-02    0.96356E-02
  6  -1           0.64039E-02    0.97176E-02         0.63488E-02    0.96356E-02
  6   2           0.11860E-03   -0.60791E-02         0.11752E-03   -0.60171E-02
  6  -2           0.11860E-03    0.60791E-02         0.11752E-03    0.60171E-02
  6   3          -0.42897E-02   -0.62284E-02        -0.42489E-02   -0.61697E-02
  6  -3           0.42897E-02   -0.62284E-02         0.42489E-02   -0.61697E-02
  6   4          -0.19311E+00   -0.55885E-05        -0.19113E+00   -0.56943E-05
  6  -4          -0.19311E+00    0.55885E-05        -0.19113E+00    0.56943E-05
  6   5          -0.97095E-02    0.14433E-01        -0.96204E-02    0.14304E-01
  6  -5           0.97095E-02    0.14433E-01         0.96204E-02    0.14304E-01
  6   6           0.17553E-03   -0.20772E-02         0.17391E-03   -0.20571E-02
  6  -6           0.17553E-03    0.20772E-02         0.17391E-03    0.20571E-02
  6   1          -0.64039E-02    0.97176E-02        -0.63488E-02    0.96356E-02
  6  -1           0.64039E-02    0.97176E-02         0.63488E-02    0.96356E-02
  6   2           0.11860E-03   -0.60791E-02         0.11752E-03   -0.60171E-02
  6  -2           0.11860E-03    0.60791E-02         0.11752E-03    0.60171E-02
  6   3          -0.42897E-02   -0.62284E-02        -0.42489E-02   -0.61697E-02
  6  -3           0.42897E-02   -0.62284E-02         0.42489E-02   -0.61697E-02
  6   4          -0.19311E+00   -0.55885E-05        -0.19113E+00   -0.56943E-05
  6  -4          -0.19311E+00    0.55885E-05        -0.19113E+00    0.56943E-05
  6   5          -0.97095E-02    0.14433E-01        -0.96204E-02    0.14304E-01
  6  -5           0.97095E-02    0.14433E-01         0.96204E-02    0.14304E-01
  6   6           0.17553E-03   -0.20772E-02         0.17391E-03   -0.20571E-02
  6  -6           0.17553E-03    0.20772E-02         0.17391E-03    0.20571E-02
  7   0          -0.24634E-02    0.00000E+00        -0.24470E-02   -0.25976E-15
  7   1          -0.51588E-02    0.35464E-02        -0.51448E-02    0.35370E-02
  7  -1           0.51588E-02    0.35464E-02         0.51448E-02    0.35370E-02
  7   2          -0.24077E-05    0.12873E+00        -0.23975E-05    0.12878E+00
  7  -2          -0.24077E-05   -0.12873E+00        -0.23975E-05   -0.12878E+00
  7   3           0.12555E-02    0.85878E-03         0.12398E-02    0.84840E-03
  7  -3          -0.12555E-02    0.85878E-03        -0.12398E-02    0.84840E-03
  7   4          -0.24427E-02    0.36109E-03        -0.24432E-02    0.36198E-03
  7  -4          -0.24427E-02   -0.36109E-03        -0.24432E-02   -0.36198E-03
  7   5           0.27233E-02   -0.18617E-02         0.27423E-02   -0.18744E-02
  7  -5          -0.27233E-02   -0.18617E-02        -0.27423E-02   -0.18744E-02
  7   6          -0.43803E-05    0.11780E+00        -0.43125E-05    0.11784E+00
  7  -6          -0.43803E-05   -0.11780E+00        -0.43125E-05   -0.11784E+00
  7   7           0.47002E-02    0.32245E-02         0.46773E-02    0.32093E-02
  7  -7          -0.47002E-02    0.32245E-02        -0.46773E-02    0.32093E-02
  7   1          -0.51588E-02    0.35464E-02        -0.51448E-02    0.35370E-02
  7  -1           0.51588E-02    0.35464E-02         0.51448E-02    0.35370E-02
  7   2          -0.24077E-05    0.12873E+00        -0.23975E-05    0.12878E+00
  7  -2          -0.24077E-05   -0.12873E+00        -0.23975E-05   -0.12878E+00
  7   3           0.12555E-02    0.85878E-03         0.12398E-02    0.84840E-03
  7  -3          -0.12555E-02    0.85878E-03        -0.12398E-02    0.84840E-03
  7   4          -0.24427E-02    0.36109E-03        -0.24432E-02    0.36198E-03
  7  -4          -0.24427E-02   -0.36109E-03        -0.24432E-02   -0.36198E-03
  7   5           0.27233E-02   -0.18617E-02         0.27423E-02   -0.18744E-02
  7  -5          -0.27233E-02   -0.18617E-02        -0.27423E-02   -0.18744E-02
  7   6          -0.43803E-05    0.11780E+00        -0.43125E-05    0.11784E+00
  7  -6          -0.43803E-05   -0.11780E+00        -0.43125E-05   -0.11784E+00
  7   7           0.47002E-02    0.32245E-02         0.46773E-02    0.32093E-02
  7  -7          -0.47002E-02    0.32245E-02        -0.46773E-02    0.32093E-02
  8   0           0.52642E-01    0.00000E+00         0.56887E-01   -0.10067E-13
  8   1           0.59091E-03   -0.93639E-03         0.52884E-03   -0.83566E-03
  8  -1          -0.59091E-03   -0.93639E-03        -0.52884E-03   -0.83566E-03
  8   2           0.10447E-03    0.31325E-02         0.11473E-03    0.34716E-02
  8  -2           0.10447E-03   -0.31325E-02         0.11473E-03   -0.34716E-02
  8   3          -0.88123E-03   -0.12358E-02        -0.11223E-02   -0.16031E-02
  8  -3           0.88123E-03   -0.12358E-02         0.11223E-02   -0.16031E-02
  8   4           0.19352E-01    0.87883E-05         0.20944E-01    0.88496E-05
  8  -4           0.19352E-01   -0.87883E-05         0.20944E-01   -0.88496E-05
  8   5          -0.56801E-02    0.85179E-02        -0.61404E-02    0.92027E-02
  8  -5           0.56801E-02    0.85179E-02         0.61404E-02    0.92027E-02
  8   6           0.32691E-03   -0.14344E-02         0.33123E-03   -0.14900E-02
  8  -6           0.32691E-03    0.14344E-02         0.33123E-03    0.14900E-02
  8   7          -0.33965E-02   -0.50330E-02        -0.38739E-02   -0.57549E-02
  8  -7           0.33965E-02   -0.50330E-02         0.38739E-02   -0.57549E-02
  8   8           0.29792E-01   -0.14592E-05         0.32206E-01   -0.21945E-05
  8  -8           0.29792E-01    0.14592E-05         0.32206E-01    0.21945E-05
  8   1           0.59091E-03   -0.93639E-03         0.52884E-03   -0.83566E-03
  8  -1          -0.59091E-03   -0.93639E-03        -0.52884E-03   -0.83566E-03
  8   2           0.10447E-03    0.31325E-02         0.11473E-03    0.34716E-02
  8  -2           0.10447E-03   -0.31325E-02         0.11473E-03   -0.34716E-02
  8   3          -0.88123E-03   -0.12358E-02        -0.11223E-02   -0.16031E-02
  8  -3           0.88123E-03   -0.12358E-02         0.11223E-02   -0.16031E-02
  8   4           0.19352E-01    0.87883E-05         0.20944E-01    0.88496E-05
  8  -4           0.19352E-01   -0.87883E-05         0.20944E-01   -0.88496E-05
  8   5          -0.56801E-02    0.85179E-02        -0.61404E-02    0.92027E-02
  8  -5           0.56801E-02    0.85179E-02         0.61404E-02    0.92027E-02
  8   6           0.32691E-03   -0.14344E-02         0.33123E-03   -0.14900E-02
  8  -6           0.32691E-03    0.14344E-02         0.33123E-03    0.14900E-02
  8   7          -0.33965E-02   -0.50330E-02        -0.38739E-02   -0.57549E-02
  8  -7           0.33965E-02   -0.50330E-02         0.38739E-02   -0.57549E-02
  8   8           0.29792E-01   -0.14592E-05         0.32206E-01   -0.21945E-05
  8  -8           0.29792E-01    0.14592E-05         0.32206E-01    0.21945E-05

          integral of pseudo charge density inside the slab=        0.000000   0.000000

     coulomb potential in the interstitial region:

          density-coulomb potential integrals


          interstitial :                       0.7807211001

          muffin tin spheres :              -845.1833311732

          total density-coulomb potenti     -844.4026100730
 wrtdop title:alpha Si                                                                ordered*

     interstitial potential average (vbar) = -0.027906

 999idsprs in starting of nmtxad= 0

          density-effective potential integrals for spin  1


          interstitial :                      -0.4749448212

          muffin tin spheres :              -897.8378393607

          total density-effective poten     -898.3127841819

          charge density-energy density integrals


          interstitial :                      -0.9795633320

          muffin tin spheres :               -40.7649507785

          total charge density-energy d      -41.7445141105
 vgen: pottot deleted
 wrtdop title:alpha Si                                                                ordered*
 IT=  17  ISEC1=  99 standard diagonalization
  Atom  1 3s branch from -4.72 to  1.07 htr. ; e_l = -0.1341
  Atom  1 3p branch from -3.11 to  1.55 htr. ; e_l =  0.0500
  Atom  1 3d branch from -9.99 to  1.95 htr. ; e_l =  0.2439
  Atom  1 4f branch from -9.99 to  4.11 htr. ; e_l =  0.4116
  Atom  2 3s branch from -4.72 to  1.07 htr. ; e_l = -0.1341
  Atom  2 3p branch from -3.11 to  1.55 htr. ; e_l =  0.0500
  Atom  2 3d branch from -9.99 to  1.95 htr. ; e_l =  0.2439
  Atom  2 4f branch from -9.99 to  4.11 htr. ; e_l =  0.4116


 wavefunction parameters for atom type  1:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.13409        4.7800588E-01  -2.4465366E-01    2       -3.1232929E-01  -7.4530269E-01    2   1.0766710E-01   4.3267158E-01
  1   0.04999       -5.5348712E-01   9.9418243E-02    1        2.6599578E-01   7.3396795E-01    2   7.9521943E-02   4.3268664E-01
  2   0.24387        6.4439219E-01   1.6344256E-01    0       -2.3289853E-01  -7.3053287E-01    1   6.5178938E-02   4.3268414E-01
  3   0.41164        8.3800007E-01   7.5544845E-01    0       -1.2158489E-01  -6.2593055E-01    1   1.3122242E-02   4.3267873E-01
  4   0.41164        9.7736354E-01   1.4626809E+00    0       -8.2132586E-02  -5.6560526E-01    1   4.9166923E-03   4.3266820E-01
  5   0.41164        1.0889890E+00   2.2153832E+00    0       -6.1660944E-02  -5.2273998E-01    1   2.3795468E-03   4.3265549E-01
  6   0.41164        1.1859741E+00   3.0206232E+00    0       -4.8925249E-02  -4.8940792E-01    1   1.3189789E-03   4.3264038E-01
  7   0.41164        1.2734321E+00   3.8786657E+00    0       -4.0219931E-02  -4.6223314E-01    1   7.9808738E-04   4.3262283E-01
  8   0.41164        1.3539864E+00   4.7881050E+00    0       -3.3904804E-02  -4.3940067E-01    1   5.1413446E-04   4.3260278E-01


 wavefunction parameters for atom type  2:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.13409        4.7800588E-01  -2.4465367E-01    2       -3.1232930E-01  -7.4530269E-01    2   1.0766710E-01   4.3267158E-01
  1   0.04999       -5.5348712E-01   9.9418252E-02    1        2.6599578E-01   7.3396795E-01    2   7.9521945E-02   4.3268664E-01
  2   0.24387        6.4439219E-01   1.6344255E-01    0       -2.3289853E-01  -7.3053287E-01    1   6.5178940E-02   4.3268414E-01
  3   0.41164        8.3800006E-01   7.5544844E-01    0       -1.2158489E-01  -6.2593055E-01    1   1.3122243E-02   4.3267873E-01
  4   0.41164        9.7736354E-01   1.4626809E+00    0       -8.2132587E-02  -5.6560526E-01    1   4.9166924E-03   4.3266820E-01
  5   0.41164        1.0889890E+00   2.2153832E+00    0       -6.1660944E-02  -5.2273998E-01    1   2.3795468E-03   4.3265549E-01
  6   0.41164        1.1859741E+00   3.0206232E+00    0       -4.8925250E-02  -4.8940792E-01    1   1.3189789E-03   4.3264038E-01
  7   0.41164        1.2734321E+00   3.8786657E+00    0       -4.0219931E-02  -4.6223314E-01    1   7.9808738E-04   4.3262283E-01
  8   0.41164        1.3539864E+00   4.7881050E+00    0       -3.3904804E-02  -4.3940067E-01    1   5.1413446E-04   4.3260278E-01


 k=(    0.444444    0.444444    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.153280   -0.031293    0.159306    0.163882    0.258587
         0.324574    0.329870    0.487745


 k=(    0.333333    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155807   -0.016636    0.134401    0.147133    0.282764
         0.327031    0.355424    0.456842


 k=(    0.222222    0.444444    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149604   -0.001541    0.095572    0.126844    0.263607
         0.363102    0.395648    0.410692


 k=(    0.111111    0.444444    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133882   -0.013596    0.094257    0.110453    0.240047
         0.284585    0.479228    0.481202


 k=(    0.000000    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.109044   -0.046474    0.102274    0.107596    0.228001
         0.244450    0.544473    0.545265


 k=(   -0.111111    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.085594   -0.069896    0.085730    0.103582    0.233510
         0.270559    0.542643    0.551618


 k=(    0.222222    0.555556    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107770   -0.042866    0.061525    0.114177    0.246329
         0.342994    0.468496    0.471697


 k=(    0.333333    0.555556    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128235   -0.032822    0.076669    0.132190    0.268738
         0.386840    0.397743    0.434831


 k=(    0.555556    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143573   -0.035778    0.125162    0.151858    0.282834
         0.327785    0.346526    0.501226


 k=(    0.444444    0.333333    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155848   -0.016444    0.132471    0.148931    0.283239
         0.328016    0.353720    0.455743


 k=(    0.333333    0.333333    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165140   -0.000120    0.121288    0.166961    0.290187
         0.336918    0.339240    0.476509


 k=(    0.222222    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164629    0.017667    0.096393    0.146835    0.304000
         0.336244    0.384323    0.403148


 k=(    0.111111    0.333333    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153777    0.012629    0.094953    0.119002    0.273270
         0.310800    0.402721    0.466475


 k=(    0.000000    0.333333    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132897   -0.016358    0.090604    0.115990    0.245257
         0.279235    0.479960    0.483708


 k=(   -0.111111    0.333333    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104154   -0.048509    0.083709    0.094294    0.265639
         0.279963    0.470633    0.535967


 k=(   -0.222222    0.333333    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.090022   -0.059316    0.061330    0.092609    0.277041
         0.343700    0.449012    0.458083


 k=(    0.666667    0.333333    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114369   -0.035890    0.057317    0.109589    0.294950
         0.369553    0.431858    0.447727


 k=(    0.555556    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138135   -0.025713    0.090673    0.132751    0.308919
         0.319094    0.402803    0.446686


 k=(    0.444444    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149664   -0.001050    0.093756    0.128137    0.264890
         0.361787    0.395654    0.409422


 k=(    0.333333    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164637    0.017879    0.095589    0.147519    0.304347
         0.337081    0.383680    0.401195


 k=(    0.222222    0.222222    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169430    0.026843    0.085213    0.166317    0.303689
         0.364729    0.374785    0.419056


 k=(    0.111111    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163615    0.011823    0.100896    0.146666    0.310878
         0.335967    0.378024    0.407317


 k=(    0.000000    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147500   -0.009116    0.094899    0.132985    0.270626
         0.356049    0.397572    0.412258


 k=(   -0.111111    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122437   -0.030788    0.069179    0.113230    0.291024
         0.346659    0.390282    0.479096


 k=(   -0.222222    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.093423   -0.055017    0.059246    0.085568    0.343711
         0.355316    0.374634    0.436209


 k=(    0.666667    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.097547   -0.048784    0.061523    0.080911    0.346072
         0.350041    0.373358    0.440554


 k=(    0.555556    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125937   -0.022156    0.070718    0.105886    0.286354
         0.351668    0.385263    0.480628


 k=(    0.444444    0.111111    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133913   -0.013404    0.092962    0.111508    0.241158
         0.283572    0.478323    0.480871


 k=(    0.333333    0.111111    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153753    0.012445    0.095195    0.118980    0.273444
         0.310524    0.402767    0.466291


 k=(    0.222222    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163587    0.011512    0.101809    0.146042    0.310476
         0.335206    0.378640    0.409064


 k=(    0.111111    0.111111    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163011   -0.008656    0.128772    0.164607    0.292702
         0.338562    0.348910    0.472761


 k=(    0.000000    0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152470   -0.026481    0.133392    0.154507    0.287827
         0.333143    0.355790    0.449996


 k=(   -0.111111    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133329   -0.037373    0.089779    0.141346    0.310583
         0.328710    0.400404    0.440718


 k=(   -0.222222    0.111111    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108135   -0.047597    0.056391    0.116496    0.300711
         0.373507    0.424562    0.444467


 k=(    0.666667    0.111111    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.083651   -0.066855    0.057418    0.097685    0.282997
         0.337841    0.447238    0.458981


 k=(    0.555556    0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105951   -0.045297    0.084656    0.091510    0.267532
         0.278610    0.465143    0.535450


 k=(    0.444444    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.108899   -0.046773    0.103235    0.106873    0.228438
         0.243916    0.544599    0.545104


 k=(    0.333333    0.000000    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132760   -0.016957    0.092067    0.115205    0.244238
         0.279979    0.479889    0.485021


 k=(    0.222222    0.000000    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147393   -0.009745    0.096561    0.132041    0.269259
         0.357131    0.397360    0.413956


 k=(    0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152410   -0.026706    0.134675    0.153442    0.287354
         0.331573    0.358003    0.451120


 k=(    0.000000    0.000000    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.148642   -0.042575    0.160062    0.169132    0.262150
         0.326410    0.337164    0.491927


 k=(   -0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137974   -0.048174    0.125660    0.158291    0.287067
         0.332373    0.348737    0.505690


 k=(    0.222222    0.000000    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122505   -0.045135    0.077910    0.137676    0.274764
         0.388984    0.399608    0.428465


 k=(    0.333333    0.000000    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.102677   -0.051272    0.059867    0.119117    0.252256
         0.337270    0.468608    0.474212


 k=(    0.555556    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.078474   -0.077363    0.081258    0.108248    0.239502
         0.264779    0.538562    0.551413


 k=(    0.444444   -0.111111    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.084109   -0.071571    0.084954    0.104556    0.234726
         0.269327    0.541743    0.551730


 k=(    0.333333   -0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103600   -0.049506    0.084206    0.094377    0.265845
         0.279578    0.471764    0.536105


 k=(    0.222222   -0.111111    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122129   -0.031676    0.069958    0.113224    0.289558
         0.347963    0.391349    0.479274


 k=(    0.111111   -0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133163   -0.037753    0.089737    0.141735    0.309839
         0.329372    0.400208    0.441880


 k=(    0.000000   -0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137915   -0.048240    0.124477    0.159654    0.287522
         0.333934    0.346263    0.505543


 k=(    0.111111    0.111111    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.138153   -0.047979    0.130465    0.152824    0.285868
         0.330286    0.353447    0.506323


 k=(    0.222222    0.111111    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133849   -0.036787    0.095366    0.134739    0.313951
         0.321067    0.407414    0.441289


 k=(    0.333333    0.111111    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123242   -0.029372    0.072701    0.108563    0.290730
         0.347842    0.386361    0.483788


 k=(    0.444444    0.111111    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105166   -0.046751    0.084807    0.092220    0.266954
         0.278934    0.467494    0.535857


 k=(    0.555556    0.222222    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107504   -0.043139    0.060397    0.115273    0.247610
         0.341744    0.466893    0.471877


 k=(    0.333333   -0.222222    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.088828   -0.060830    0.060608    0.093662    0.278259
         0.342445    0.448234    0.458743


 k=(    0.222222   -0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.092355   -0.056556    0.059054    0.086289    0.344310
         0.355083    0.375080    0.435353


 k=(    0.111111   -0.222222    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.107761   -0.048133    0.055891    0.117151    0.302189
         0.371762    0.424121    0.444565


 k=(    0.000000    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122418   -0.045102    0.076694    0.138745    0.276222
         0.388455    0.397627    0.428199


 k=(    0.111111    0.222222    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133844   -0.036652    0.093967    0.136107    0.313706
         0.322507    0.405715    0.440282


 k=(    0.222222    0.222222    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139156   -0.021638    0.074186    0.147350    0.284874
         0.388294    0.391059    0.464109


 k=(    0.333333    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136452   -0.012567    0.062918    0.127526    0.315591
         0.353309    0.384294    0.457796


 k=(    0.444444    0.222222    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125404   -0.023438    0.069405    0.108331    0.285807
         0.351643    0.387931    0.477879


 k=(    0.555556    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128116   -0.032855    0.075274    0.133560    0.270061
         0.385933    0.396245    0.434509


 k=(    0.333333    0.666667    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114055   -0.036412    0.056700    0.110434    0.296334
         0.367917    0.431056    0.448197


 k=(    0.222222    0.666667    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.096830   -0.049910    0.060978    0.081911    0.344986
         0.351752    0.373606    0.439645


 k=(    0.111111    0.666667    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.082090   -0.068550    0.056669    0.098526    0.284299
         0.336622    0.447320    0.458708


 k=(    0.000000    0.333333    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.102599   -0.051145    0.058677    0.119961    0.253650
         0.336088    0.467520    0.473761


 k=(    0.111111    0.333333    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123269   -0.029057    0.071175    0.109777    0.291967
         0.346539    0.386542    0.482353


 k=(    0.222222    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136471   -0.012477    0.062848    0.127497    0.315710
         0.352931    0.384607    0.458046


 k=(    0.333333    0.333333    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141151   -0.014450    0.068537    0.148211    0.285077
         0.382633    0.384140    0.470155


 k=(    0.444444    0.333333    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137818   -0.026205    0.087742    0.136429    0.306868
         0.323337    0.398963    0.446858


 k=(    0.444444    0.555556    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143519   -0.035838    0.123536    0.153718    0.283274
         0.328614    0.344756    0.501150


 k=(    0.333333    0.555556    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138010   -0.026039    0.090513    0.133232    0.307766
         0.320180    0.402669    0.447782


 k=(    0.222222    0.555556    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125739   -0.022825    0.071412    0.105803    0.284926
         0.353161    0.386201    0.480745


 k=(    0.111111    0.555556    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105703   -0.045728    0.084051    0.092346    0.266685
         0.279404    0.466263    0.535482


 k=(    0.000000    0.555556    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.079463   -0.076274    0.080299    0.108986    0.240824
         0.263607    0.537596    0.551238


 k=(    0.111111    0.444444    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105311   -0.046454    0.084192    0.092632    0.266418
         0.279550    0.467439    0.535665


 k=(    0.222222    0.444444    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125473   -0.023463    0.070731    0.107041    0.284672
         0.353135    0.387540    0.479334


 k=(    0.333333    0.444444    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137851   -0.026285    0.089041    0.135067    0.306831
         0.322233    0.400715    0.447878


 k=(    0.444444    0.444444    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143466   -0.035899    0.122144    0.155322    0.283736
         0.329990    0.342428    0.501109


 k=(    0.444444    0.444444    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155892   -0.016240    0.130911    0.150326    0.283726
         0.329357    0.351648    0.454679


 k=(    0.333333    0.444444    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165242    0.000192    0.122443    0.165163    0.289830
         0.335665    0.341500    0.475885


 k=(    0.222222    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164788    0.018348    0.097308    0.144991    0.304808
         0.334404    0.384424    0.404723


 k=(    0.111111    0.444444    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154000    0.013880    0.094611    0.118036    0.273641
         0.310805    0.401369    0.466704


 k=(    0.000000    0.444444    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133200   -0.015303    0.089611    0.116052    0.245471
         0.279251    0.479041    0.482459


 k=(   -0.111111    0.444444    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104551   -0.047804    0.083595    0.094014    0.265900
         0.279803    0.469520    0.535942


 k=(   -0.222222    0.444444    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.089973   -0.059387    0.061361    0.092607    0.277035
         0.343677    0.449398    0.457782


 k=(    0.666667    0.444444    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114248   -0.036042    0.056784    0.110244    0.294847
         0.370480    0.432309    0.446762


 k=(    0.555556    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138107   -0.025617    0.089279    0.134173    0.308806
         0.320382    0.400949    0.445762


 k=(    0.444444    0.333333    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165343    0.000488    0.123798    0.163160    0.289509
         0.335413    0.342741    0.475631


 k=(    0.333333    0.333333    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.179955    0.017494    0.165430    0.170026    0.265770
         0.329473    0.334653    0.490746


 k=(    0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184128    0.039434    0.149050    0.150888    0.287487
         0.330615    0.364860    0.405025


 k=(    0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177346    0.049581    0.122922    0.130338    0.258633
         0.324892    0.404632    0.417088


 k=(    0.000000    0.333333    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159802    0.022411    0.115980    0.121805    0.233467
         0.280593    0.469580    0.469776


 k=(   -0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133000   -0.016614    0.097150    0.110278    0.239474
         0.284374    0.480995    0.485834


 k=(   -0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.105505   -0.047359    0.064120    0.113990    0.246102
         0.342963    0.472600    0.473835


 k=(    0.666667    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.113788   -0.036122    0.048697    0.126521    0.260438
         0.422336    0.445171    0.458716


 k=(    0.555556    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141791   -0.012877    0.070034    0.145328    0.282338
         0.384274    0.386877    0.469621


 k=(    0.444444    0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164954    0.019223    0.097526    0.143721    0.306107
         0.333273    0.383823    0.404408


 k=(    0.333333    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184173    0.039813    0.147100    0.152355    0.287879
         0.331819    0.363324    0.403749


 k=(    0.222222    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192884    0.061210    0.130109    0.182530    0.301669
         0.331814    0.343424    0.428950


 k=(    0.111111    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190425    0.068445    0.120694    0.162155    0.293323
         0.343531    0.367199    0.388893


 k=(    0.000000    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176847    0.045023    0.121117    0.136666    0.261649
         0.321076    0.406677    0.419208


 k=(   -0.111111    0.222222    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153114    0.009247    0.094915    0.122634    0.272164
         0.310652    0.406595    0.466407


 k=(   -0.222222    0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123458   -0.029092    0.073796    0.107952    0.284146
         0.353731    0.389930    0.482812


 k=(    0.666667    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.112090   -0.040960    0.059641    0.110144    0.294606
         0.374914    0.427905    0.446673


 k=(    0.555556    0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137459   -0.009255    0.062825    0.124924    0.312878
         0.354257    0.384567    0.458718


 k=(    0.444444    0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154198    0.014942    0.094667    0.116882    0.274210
         0.310538    0.400055    0.466812


 k=(    0.333333    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177389    0.050157    0.120952    0.131627    0.259417
         0.324342    0.404276    0.416168


 k=(    0.222222    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190419    0.068308    0.120821    0.162226    0.293366
         0.343601    0.366988    0.388700


 k=(    0.111111    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192328    0.054805    0.136638    0.180968    0.304775
         0.338634    0.343311    0.424773


 k=(    0.000000    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183023    0.031759    0.148599    0.157987    0.292631
         0.335467    0.365892    0.398123


 k=(   -0.111111    0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163130    0.010042    0.097844    0.152275    0.307976
         0.341568    0.378026    0.402932


 k=(   -0.222222    0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134954   -0.016978    0.062470    0.131468    0.319248
         0.351893    0.384171    0.457563


 k=(   -0.333333    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110399   -0.043525    0.056505    0.114243    0.301356
         0.366967    0.425534    0.447141


 k=(    0.555556    0.111111    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.124659   -0.025411    0.070247    0.108238    0.291132
         0.347244    0.384765    0.481651


 k=(    0.444444    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133365   -0.014866    0.090096    0.115324    0.244656
         0.280031    0.477997    0.482593


 k=(    0.333333    0.000000    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159777    0.022183    0.117037    0.121039    0.233610
         0.280342    0.469421    0.469774


 k=(    0.222222    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176778    0.044154    0.123013    0.135868    0.261023
         0.321240    0.406709    0.420386


 k=(    0.111111    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182968    0.031328    0.149454    0.157749    0.292275
         0.333798    0.367735    0.399377


 k=(    0.000000    0.000000    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178115    0.008604    0.166629    0.175732    0.269637
         0.331314    0.341725    0.491544


 k=(   -0.111111    0.000000    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162683   -0.009542    0.124821    0.170477    0.293524
         0.337840    0.346801    0.472836


 k=(   -0.222222    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138136   -0.023823    0.071682    0.151758    0.288538
         0.384208    0.389057    0.464700


 k=(   -0.333333    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.109295   -0.044115    0.046715    0.132230    0.266722
         0.415435    0.438916    0.463376


 k=(    0.555556    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104479   -0.047959    0.058123    0.119249    0.252409
         0.337213    0.465623    0.473207


 k=(    0.444444   -0.111111    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104399   -0.048105    0.084091    0.093719    0.266397
         0.279225    0.469580    0.536137


 k=(    0.333333   -0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132729   -0.017453    0.096829    0.111275    0.240381
         0.283324    0.481175    0.486571


 k=(    0.222222   -0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152865    0.007938    0.095382    0.123557    0.271986
         0.310365    0.407913    0.466322


 k=(    0.111111   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162937    0.009100    0.097909    0.153348    0.306887
         0.342393    0.378607    0.403296


 k=(    0.000000   -0.111111    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162570   -0.009867    0.123863    0.172065    0.293887
         0.337997    0.345646    0.473876


 k=(   -0.111111   -0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152246   -0.027307    0.140467    0.148116    0.286032
         0.328672    0.362720    0.454685


 k=(   -0.222222   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133385   -0.037816    0.094804    0.136256    0.310380
         0.324328    0.406609    0.445201


 k=(   -0.333333   -0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108583   -0.047209    0.058487    0.114140    0.301113
         0.370239    0.422497    0.447633


 k=(    0.555556   -0.111111    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.083395   -0.067170    0.057490    0.097690    0.282977
         0.337792    0.448018    0.458424


 k=(    0.444444   -0.222222    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.088684   -0.061033    0.060688    0.093661    0.278242
         0.342388    0.449161    0.458042


 k=(    0.333333   -0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104363   -0.049256    0.063857    0.115020    0.247307
         0.341734    0.472433    0.474597


 k=(    0.222222   -0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122674   -0.030973    0.073576    0.109420    0.285130
         0.352538    0.391039    0.482510


 k=(    0.111111   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134411   -0.018594    0.062594    0.132594    0.320794
         0.351366    0.383891    0.457177


 k=(    0.000000   -0.222222    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.137785   -0.024605    0.071064    0.152979    0.290016
         0.382936    0.388094    0.465350


 k=(   -0.111111   -0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133214   -0.038061    0.093392    0.137983    0.309634
         0.326188    0.404725    0.445343


 k=(   -0.222222   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122824   -0.045128    0.082077    0.133679    0.271007
         0.391012    0.403928    0.430089


 k=(    0.333333    0.222222    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109667   -0.045664    0.060485    0.111616    0.297233
         0.374787    0.423395    0.448088


 k=(    0.444444    0.222222    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.095829   -0.051523    0.060923    0.082662    0.346738
         0.350135    0.374228    0.438978


 k=(    0.444444    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113798   -0.036747    0.055686    0.111721    0.296094
         0.369752    0.431889    0.446563


 k=(    0.333333    0.666667    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.112913   -0.037785    0.048356    0.127706    0.261714
         0.420651    0.443800    0.459536


 k=(    0.222222    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110824   -0.043344    0.059440    0.111560    0.295810
         0.375747    0.426169    0.446189


 k=(    0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109068   -0.045931    0.056431    0.115460    0.302661
         0.367683    0.424100    0.446359


 k=(    0.000000   -0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.108326   -0.045730    0.046400    0.133159    0.268135
         0.414053    0.437542    0.465294


 k=(   -0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108125   -0.047793    0.057406    0.115404    0.302548
         0.369340    0.422580    0.446584


 k=(    0.222222    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109580   -0.045713    0.059889    0.112240    0.297179
         0.375650    0.423878    0.446952


 k=(    0.333333    0.333333    0.666667):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.112016   -0.039462    0.048082    0.128773    0.263092
         0.418865    0.442330    0.460886


 k=(    0.444444    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113481   -0.037276    0.055159    0.112464    0.297568
         0.368012    0.430947    0.447254


 k=(    0.444444    0.555556    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137948   -0.025862    0.087824    0.136011    0.307740
         0.322522    0.399064    0.445837


 k=(    0.333333    0.555556    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141473   -0.013650    0.069227    0.146837    0.283645
         0.383206    0.385806    0.469673


 k=(    0.222222    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136978   -0.010819    0.062755    0.126258    0.314234
         0.353536    0.384705    0.458491


 k=(    0.111111    0.555556    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123985   -0.027071    0.069940    0.109631    0.292162
         0.346217    0.385761    0.481285


 k=(    0.000000    0.555556    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103528   -0.049458    0.057802    0.120028    0.253727
         0.336051    0.465992    0.473313


 k=(   -0.111111    0.555556    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.081969   -0.068693    0.056696    0.098529    0.284291
         0.336604    0.447606    0.458506


 k=(    0.222222    0.444444    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.095971   -0.051269    0.060717    0.082731    0.345462
         0.351663    0.374045    0.438830


 k=(    0.333333    0.444444    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113617   -0.037092    0.055643    0.111830    0.297708
         0.367101    0.430570    0.447921


 k=(    0.555556    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128005   -0.032871    0.073974    0.134789    0.271486
         0.385174    0.394438    0.434305


 k=(    0.444444    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149732   -0.000503    0.092026    0.129261    0.266251
         0.360339    0.396090    0.407818


 k=(    0.333333    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164808    0.018814    0.095613    0.146384    0.305534
         0.336027    0.383081    0.400937


 k=(    0.222222    0.444444    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169704    0.028586    0.084911    0.164768    0.302281
         0.366318    0.374107    0.419601


 k=(    0.111111    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164006    0.013941    0.099870    0.145729    0.310660
         0.335164    0.378561    0.405937


 k=(    0.000000    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148038   -0.006921    0.092898    0.133194    0.270733
         0.356016    0.397208    0.410330


 k=(   -0.111111    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123161   -0.028840    0.068015    0.113078    0.291177
         0.346343    0.389545    0.477969


 k=(   -0.222222    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.094307   -0.053729    0.059536    0.084838    0.343380
         0.355081    0.374331    0.437167


 k=(    0.666667    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.097470   -0.048929    0.061661    0.080857    0.347690
         0.348287    0.373449    0.440649


 k=(    0.555556    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125887   -0.022064    0.069313    0.107181    0.287586
         0.350079    0.385664    0.479192


 k=(    0.444444    0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164966    0.019476    0.096628    0.144437    0.306486
         0.334059    0.383132    0.402566


 k=(    0.333333    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184219    0.040227    0.145712    0.153207    0.288263
         0.333302    0.361515    0.402508


 k=(    0.222222    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192966    0.061926    0.130829    0.180542    0.301380
         0.333594    0.342430    0.428559


 k=(    0.111111    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190546    0.070183    0.120219    0.160521    0.293742
         0.343035    0.366536    0.389174


 k=(    0.000000    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177015    0.046835    0.119018    0.136786    0.261857
         0.321398    0.405911    0.417654


 k=(   -0.111111    0.333333    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153340    0.010430    0.094539    0.121784    0.272506
         0.310660    0.405298    0.466395


 k=(   -0.222222    0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123731   -0.028499    0.074542    0.106718    0.284370
         0.353727    0.388664    0.484177


 k=(    0.666667    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.112183   -0.040889    0.060245    0.109492    0.294664
         0.374003    0.427398    0.447929


 k=(    0.555556    0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137448   -0.009311    0.062870    0.124941    0.312818
         0.354478    0.384368    0.458581


 k=(    0.444444    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169973    0.030302    0.084740    0.163071    0.301054
         0.367741    0.373548    0.420108


 k=(    0.333333    0.222222    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.193047    0.062591    0.131789    0.178348    0.301176
         0.335912    0.340849    0.428281


 k=(    0.222222    0.222222    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205870    0.086461    0.177001    0.181749    0.279018
         0.328029    0.332508    0.438876


 k=(    0.111111    0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207409    0.108006    0.160523    0.168109    0.285369
         0.332392    0.359311    0.385707


 k=(    0.000000    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197525    0.094416    0.142238    0.149381    0.254361
         0.336380    0.397164    0.398120


 k=(   -0.111111    0.222222    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176849    0.044455    0.128862    0.130134    0.257940
         0.323684    0.407121    0.421692


 k=(   -0.222222    0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148066   -0.007987    0.101580    0.126259    0.263204
         0.362270    0.397650    0.416522


 k=(   -0.333333    0.222222    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.125303   -0.040034    0.081577    0.131545    0.268441
         0.389923    0.403422    0.432844


 k=(    0.555556    0.222222    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.140640   -0.017235    0.073521    0.144831    0.282209
         0.386923    0.391653    0.466432


 k=(    0.444444    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164364    0.015746    0.099891    0.144000    0.310256
         0.333456    0.379711    0.406287


 k=(    0.333333    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190662    0.071768    0.120079    0.158743    0.294273
         0.342522    0.365721    0.389313


 k=(    0.222222    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207432    0.108615    0.161575    0.166256    0.285662
         0.333162    0.358179    0.385018


 k=(    0.111111    0.111111    0.222222):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213043    0.121784    0.157146    0.195707    0.312774
         0.317129    0.322974    0.399145


 k=(    0.000000    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207136    0.100939    0.165595    0.170637    0.287360
         0.334453    0.358971    0.384559


 k=(   -0.111111    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190060    0.064034    0.120845    0.167630    0.291979
         0.343828    0.370072    0.388810


 k=(   -0.222222    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163481    0.011448    0.098809    0.150328    0.303953
         0.338473    0.382773    0.408167


 k=(   -0.333333    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135115   -0.033524    0.092176    0.136540    0.307377
         0.324838    0.404002    0.447931


 k=(    0.555556    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135828   -0.031835    0.092954    0.134153    0.312526
         0.320116    0.404984    0.441955


 k=(    0.444444    0.000000    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148461   -0.005369    0.092563    0.132447    0.269485
         0.357157    0.396462    0.410172


 k=(    0.333333    0.000000    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177115    0.047734    0.118891    0.136062    0.261448
         0.321909    0.405098    0.417353


 k=(    0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197518    0.094043    0.143555    0.148530    0.254437
         0.336156    0.397228    0.397871


 k=(    0.111111    0.000000    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207107    0.100180    0.165162    0.172169    0.287121
         0.333554    0.359990    0.384991


 k=(    0.000000    0.000000    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205252    0.077742    0.179183    0.188601    0.283565
         0.328418    0.336848    0.435088


 k=(   -0.111111    0.000000    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192075    0.052984    0.133767    0.187444    0.305131
         0.332348    0.347760    0.425545


 k=(   -0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168603    0.022149    0.085418    0.171324    0.306959
         0.361221    0.376654    0.417547


 k=(   -0.333333    0.000000    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138984   -0.020978    0.069508    0.152122    0.288610
         0.381218    0.386885    0.467507


 k=(    0.555556    0.000000    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124753   -0.040089    0.074716    0.138137    0.274946
         0.386089    0.395848    0.430784


 k=(    0.444444   -0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123567   -0.027820    0.067694    0.112882    0.289856
         0.347367    0.389882    0.476986


 k=(    0.333333   -0.111111    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153316    0.010254    0.094749    0.121786    0.272672
         0.310392    0.405347    0.466203


 k=(    0.222222   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176724    0.043271    0.128821    0.131434    0.258504
         0.322792    0.407563    0.422292


 k=(    0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189931    0.062400    0.121385    0.169152    0.291682
         0.343831    0.370943    0.388690


 k=(    0.000000   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.191988    0.052294    0.133235    0.189232    0.305470
         0.330636    0.348713    0.425962


 k=(   -0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182815    0.030216    0.151201    0.157566    0.291169
         0.330132    0.371984    0.403299


 k=(   -0.222222   -0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163041    0.009011    0.100947    0.149999    0.306635
         0.338017    0.380636    0.410278


 k=(   -0.333333   -0.111111    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134922   -0.017114    0.062569    0.131518    0.319007
         0.352541    0.383699    0.457112


 k=(   -0.444444   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109867   -0.044125    0.054571    0.116628    0.300793
         0.370371    0.427443    0.444635


 k=(    0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.094148   -0.053997    0.059720    0.084788    0.343905
         0.354258    0.374566    0.437306


 k=(    0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123225   -0.029806    0.075069    0.106977    0.285592
         0.352506    0.388550    0.485129


 k=(    0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147595   -0.009678    0.101760    0.127355    0.264368
         0.360929    0.398096    0.417170


 k=(    0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163096    0.009572    0.099092    0.151842    0.304560
         0.339874    0.381626    0.407855


 k=(    0.000000   -0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168318    0.020508    0.085752    0.172720    0.308432
         0.359666    0.377538    0.416946


 k=(   -0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162875    0.008380    0.100134    0.151661    0.305940
         0.339617    0.380580    0.408913


 k=(   -0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147123   -0.011326    0.102044    0.128258    0.265620
         0.359573    0.398734    0.417604


 k=(   -0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122445   -0.031656    0.074832    0.108409    0.286660
         0.351268    0.389671    0.484812


 k=(   -0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.093151   -0.055462    0.059530    0.085498    0.344610
         0.353929    0.375026    0.436425


 k=(    0.444444    0.666667    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.096615   -0.050306    0.061324    0.081786    0.347245
         0.349107    0.373877    0.439890


 k=(    0.333333    0.666667    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.111003   -0.043223    0.060638    0.110286    0.295923
         0.373970    0.425179    0.448588


 k=(   -0.222222    0.333333   -0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124092   -0.042565    0.081789    0.132688    0.269671
         0.390342    0.403805    0.431503


 k=(    0.111111   -0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134096   -0.035913    0.092091    0.138144    0.308086
         0.326456    0.403414    0.446731


 k=(    0.000000   -0.333333    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138217   -0.023189    0.069994    0.153165    0.290051
         0.381402    0.387016    0.466879


 k=(   -0.111111   -0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134398   -0.018644    0.062630    0.132613    0.320691
         0.351619    0.383719    0.457000


 k=(   -0.222222   -0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122166   -0.032230    0.074085    0.109618    0.286422
         0.351297    0.390894    0.483560


 k=(   -0.333333   -0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103189   -0.051145    0.063630    0.115932    0.248598
         0.340468    0.473305    0.474329


 k=(   -0.444444   -0.333333    0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.087419   -0.062590    0.060015    0.094615    0.279535
         0.341077    0.448522    0.458583


 k=(    0.444444    0.555556    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125619   -0.022709    0.068680    0.108387    0.287291
         0.350084    0.386988    0.477856


 k=(    0.333333    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136947   -0.010966    0.062871    0.126303    0.314061
         0.354132    0.384188    0.458110


 k=(    0.222222    0.555556    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139908   -0.019434    0.073813    0.146161    0.283477
         0.387349    0.391636    0.465166


 k=(    0.111111    0.555556    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134851   -0.034167    0.092737    0.135862    0.312800
         0.322186    0.404465    0.440685


 k=(    0.000000    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.123573   -0.042555    0.075107    0.138980    0.276311
         0.386926    0.395738    0.429469


 k=(    0.111111    0.444444   -0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108672   -0.046350    0.054975    0.117220    0.302238
         0.370166    0.425578    0.444579


 k=(    0.222222    0.444444   -0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.092245   -0.056730    0.059156    0.086266    0.344654
         0.354550    0.375235    0.435431


 k=(    0.333333    0.444444   -0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.087520   -0.062451    0.059967    0.094615    0.279546
         0.341111    0.447989    0.458976


 k=(    0.555556    0.555556    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107273   -0.043338    0.059306    0.116251    0.248979
         0.340439    0.465700    0.471688


 k=(    0.444444    0.444444    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133965   -0.013123    0.091689    0.112436    0.242313
         0.282553    0.478357    0.479609


 k=(    0.333333    0.444444    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153962    0.013578    0.095020    0.117984    0.273928
         0.310355    0.401439    0.466415


 k=(    0.222222    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163954    0.013318    0.101748    0.144422    0.309846
         0.333670    0.379817    0.409434


 k=(    0.111111    0.444444    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163557   -0.006657    0.128474    0.163340    0.291734
         0.336920    0.349308    0.472868


 k=(    0.000000    0.444444    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153234   -0.024248    0.131539    0.154970    0.287247
         0.333237    0.353593    0.450162


 k=(   -0.111111    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134345   -0.034884    0.088553    0.141139    0.309753
         0.328291    0.399158    0.441074


 k=(   -0.222222    0.444444    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109392   -0.045285    0.055939    0.115931    0.299234
         0.373711    0.426716    0.444049


 k=(    0.666667    0.444444    0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.085013   -0.065335    0.058133    0.096859    0.281647
         0.339114    0.447590    0.458852


 k=(    0.555556    0.444444    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105867   -0.045473    0.085103    0.091185    0.267915
         0.278179    0.465172    0.535563


 k=(    0.444444    0.333333    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154184    0.014826    0.094831    0.116855    0.274321
         0.310367    0.400080    0.466706


 k=(    0.333333    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177438    0.050847    0.119082    0.132673    0.260201
         0.323817    0.404234    0.414963


 k=(    0.222222    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190538    0.069950    0.120442    0.160627    0.293815
         0.343155    0.366183    0.388870


 k=(    0.111111    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192524    0.056711    0.136148    0.179342    0.303750
         0.338630    0.342818    0.425291


 k=(    0.000000    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183308    0.033764    0.146475    0.158205    0.291892
         0.336170    0.363793    0.398015


 k=(   -0.111111    0.333333    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163525    0.012148    0.096724    0.151477    0.307621
         0.340979    0.378533    0.401416


 k=(   -0.222222    0.333333    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135475   -0.015393    0.062341    0.130388    0.317514
         0.352834    0.384151    0.457789


 k=(   -0.333333    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110837   -0.042924    0.057547    0.112982    0.299870
         0.367882    0.425662    0.447995


 k=(    0.555556    0.333333    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.124654   -0.025679    0.071768    0.106996    0.289837
         0.348725    0.384478    0.483080


 k=(    0.444444    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164341    0.015434    0.100861    0.143312    0.309843
         0.332722    0.380353    0.408036


 k=(    0.333333    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190659    0.071675    0.120171    0.158780    0.294302
         0.342570    0.365583    0.389200


 k=(    0.222222    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207456    0.109357    0.162559    0.164315    0.285927
         0.334092    0.356952    0.384361


 k=(    0.111111    0.222222    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213097    0.123805    0.156560    0.193645    0.312082
         0.318933    0.321866    0.399000


 k=(    0.000000    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207222    0.103162    0.163583    0.170046    0.287202
         0.335035    0.357772    0.384134


 k=(   -0.111111    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190184    0.065645    0.120280    0.166232    0.292308
         0.343714    0.369133    0.388843


 k=(   -0.222222    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163645    0.012108    0.099590    0.148670    0.304609
         0.336847    0.382892    0.409575


 k=(   -0.333333    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135279   -0.033279    0.093603    0.134790    0.308053
         0.323021    0.405955    0.447795


 k=(    0.555556    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135840   -0.031964    0.094409    0.132726    0.312952
         0.318483    0.406823    0.442854


 k=(    0.444444    0.111111    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.164094   -0.004657    0.128359    0.161826    0.290866
         0.335936    0.349020    0.473621


 k=(    0.333333    0.111111    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192717    0.058621    0.135848    0.177478    0.302885
         0.339512    0.341355    0.425857


 k=(    0.222222    0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213150    0.125776    0.156343    0.191246    0.312132
         0.320051    0.320758    0.398808


 k=(    0.111111    0.111111    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222684    0.162995    0.191033    0.196226    0.293749
         0.311784    0.315371    0.365316


 k=(    0.000000    0.111111    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220647    0.163577    0.176761    0.187264    0.283109
         0.331963    0.335725    0.356947


 k=(   -0.111111    0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207152    0.101569    0.159982    0.176470    0.285395
         0.330992    0.362783    0.386983


 k=(   -0.222222    0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183293    0.033440    0.148897    0.157035    0.288995
         0.328882    0.371070    0.405582


 k=(   -0.333333    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153673   -0.023237    0.140149    0.145904    0.283969
         0.326670    0.361999    0.457095


 k=(    0.555556    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140535   -0.042905    0.130210    0.150430    0.283956
         0.328007    0.353076    0.504344


 k=(    0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153920   -0.022244    0.131002    0.154288    0.286264
         0.331695    0.353685    0.451364


 k=(    0.333333    0.000000    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183537    0.035342    0.145587    0.157767    0.290886
         0.335100    0.363611    0.399129


 k=(    0.222222    0.000000    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207280    0.104601    0.162303    0.169819    0.286859
         0.334656    0.357645    0.384141


 k=(    0.111111    0.000000    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220645    0.162490    0.178784    0.186434    0.283068
         0.332584    0.334987    0.356888


 k=(    0.000000    0.000000    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222551    0.152073    0.194847    0.205397    0.299404
         0.308613    0.314664    0.362755


 k=(   -0.111111    0.000000    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212880    0.117065    0.156861    0.202952    0.309998
         0.317426    0.325257    0.399502


 k=(   -0.222222    0.000000    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192301    0.055435    0.131287    0.188138    0.303768
         0.329556    0.347911    0.427258


 k=(   -0.333333    0.000000    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163563   -0.006151    0.121909    0.171490    0.292382
         0.335051    0.345054    0.474844


 k=(   -0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140251   -0.043219    0.122420    0.159331    0.286068
         0.331801    0.344748    0.503679


 k=(    0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135163   -0.032796    0.087321    0.141263    0.308397
         0.328378    0.397786    0.442426


 k=(    0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163726    0.013297    0.095722    0.151699    0.306275
         0.341232    0.379627    0.400137


 k=(    0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190179    0.065519    0.120390    0.166310    0.292347
         0.343768    0.368943    0.388644


 k=(    0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207089    0.099978    0.161277    0.176985    0.285788
         0.331220    0.362818    0.386721


 k=(    0.000000   -0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212824    0.115324    0.157466    0.204799    0.310055
         0.316443    0.326205    0.399525


 k=(   -0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207027    0.098482    0.162649    0.177280    0.286204
         0.331526    0.362826    0.386492


 k=(   -0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190052    0.063844    0.121006    0.167761    0.292036
         0.343910    0.369781    0.388486


 k=(   -0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163539    0.012325    0.095851    0.152730    0.305216
         0.342108    0.380197    0.400434


 k=(   -0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135010   -0.033171    0.087299    0.141636    0.307707
         0.329003    0.397654    0.443481


 k=(   -0.444444    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110215   -0.043593    0.055035    0.115994    0.299269
         0.372170    0.428160    0.444184


 k=(   -0.333333    0.222222   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135455   -0.015480    0.062405    0.130419    0.317380
         0.353226    0.383847    0.457520


 k=(   -0.222222    0.222222   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163424    0.010862    0.100688    0.148522    0.305908
         0.336650    0.381801    0.410628


 k=(   -0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183054    0.031810    0.149800    0.157595    0.290040
         0.329433    0.371613    0.404440


 k=(    0.000000    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192102    0.053495    0.132021    0.189594    0.304755
         0.329219    0.348818    0.426846


 k=(    0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189928    0.062332    0.121440    0.169203    0.291702
         0.343860    0.370838    0.388566


 k=(    0.222222    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176604    0.042167    0.129303    0.132093    0.259076
         0.321956    0.408197    0.422721


 k=(   -0.333333   -0.222222    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153076    0.008973    0.095233    0.122648    0.272424
         0.310229    0.406675    0.466093


 k=(   -0.444444   -0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123287   -0.028681    0.068471    0.112873    0.288353
         0.348807    0.390904    0.477040


 k=(    0.555556    0.333333   -0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.084880   -0.065505    0.058179    0.096862    0.281635
         0.339082    0.448096    0.458487


 k=(   -0.333333    0.333333   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109963   -0.044749    0.058555    0.112935    0.299741
         0.369494    0.424132    0.448280


 k=(   -0.222222    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134430   -0.035422    0.094931    0.134666    0.309496
         0.322790    0.407252    0.446450


 k=(   -0.111111    0.333333   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152967   -0.025275    0.139960    0.147397    0.284959
         0.327547    0.362488    0.455916


 k=(    0.000000    0.333333   -0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163015   -0.008179    0.122420    0.172588    0.293285
         0.336249    0.345126    0.474881


 k=(    0.111111    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163145    0.010234    0.096918    0.153579    0.305477
         0.342680    0.379673    0.402086


 k=(    0.222222    0.333333   -0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152850    0.007838    0.095495    0.123567    0.272081
         0.310209    0.407944    0.466201


 k=(    0.333333    0.333333   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132475   -0.018217    0.096542    0.112137    0.241322
         0.282290    0.481735    0.486956


 k=(    0.444444    0.333333   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103905   -0.048994    0.084494    0.093828    0.266425
         0.279049    0.470734    0.536280


 k=(    0.444444    0.555556    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105474   -0.046201    0.085104    0.091618    0.267608
         0.278354    0.466346    0.535785


 k=(    0.333333    0.555556    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123954   -0.027655    0.072988    0.107177    0.289631
         0.348997    0.385295    0.484149


 k=(    0.222222    0.555556    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134868   -0.034429    0.095587    0.133071    0.313379
         0.319206    0.408009    0.442586


 k=(    0.111111    0.555556    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139371   -0.045422    0.130208    0.151791    0.284869
         0.328972    0.353441    0.505317


 k=(    0.000000    0.444444   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139081   -0.045742    0.122862    0.160195    0.286992
         0.333682    0.344232    0.504561


 k=(    0.111111    0.444444   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134026   -0.035638    0.088490    0.141900    0.308331
         0.329566    0.398835    0.443288


 k=(    0.222222    0.444444   -0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122575   -0.030590    0.069571    0.113063    0.288208
         0.349088    0.391632    0.478199


 k=(    0.333333    0.444444   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103504   -0.049690    0.084495    0.094206    0.266139
         0.279235    0.471804    0.536222


 k=(    0.444444    0.444444   -0.111111):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.082576   -0.073238    0.084195    0.105421    0.236024
         0.268058    0.540735    0.551822


 k=(    0.444444    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.108811   -0.046953    0.104085    0.106164    0.228714
         0.243582    0.544760    0.544922


 k=(    0.333333    0.444444    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132949   -0.016432    0.092452    0.114499    0.243349
         0.280855    0.478920    0.485051


 k=(    0.222222    0.444444    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147834   -0.008180    0.096196    0.131337    0.267955
         0.358389    0.396533    0.413803


 k=(    0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153118   -0.024694    0.134005    0.152936    0.286286
         0.330061    0.358104    0.452365


 k=(    0.000000    0.444444    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.149636   -0.040270    0.158548    0.169602    0.261338
         0.324298    0.337392    0.491002


 k=(   -0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139196   -0.045612    0.125175    0.157520    0.286062
         0.330572    0.349195    0.504764


 k=(    0.222222    0.555556    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.123754   -0.042612    0.077516    0.136862    0.273348
         0.388057    0.399761    0.429887


 k=(    0.333333    0.555556    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103731   -0.049622    0.060126    0.118356    0.250897
         0.338497    0.468006    0.474283


 k=(    0.555556    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.079707   -0.076170    0.082127    0.107525    0.238142
         0.266012    0.539618    0.551498


 k=(    0.444444    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133251   -0.015394    0.091473    0.114557    0.243553
         0.280892    0.477959    0.483860


 k=(    0.333333    0.333333    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159763    0.022047    0.117957    0.120293    0.233696
         0.280191    0.469387    0.469711


 k=(    0.222222    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176884    0.045093    0.122741    0.135240    0.260543
         0.321852    0.405856    0.420129


 k=(    0.111111    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183200    0.032890    0.148150    0.157764    0.291171
         0.332786    0.367583    0.400500


 k=(    0.000000    0.333333    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178492    0.010371    0.165020    0.176112    0.268754
         0.329258    0.341963    0.491053


 k=(   -0.111111    0.333333    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163237   -0.007526    0.124298    0.169449    0.292537
         0.336007    0.347386    0.472820


 k=(   -0.222222    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138909   -0.021608    0.071192    0.150741    0.287038
         0.383657    0.389294    0.465445


 k=(   -0.333333    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.110247   -0.042467    0.046973    0.131318    0.265263
         0.417050    0.440397    0.461407


 k=(    0.555556    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104602   -0.047998    0.059255    0.118421    0.250973
         0.338477    0.466573    0.473703


 k=(    0.444444    0.222222    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148365   -0.005998    0.094201    0.131532    0.268073
         0.358455    0.395997    0.411946


 k=(    0.333333    0.222222    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177052    0.046863    0.120729    0.135302    0.260759
         0.322201    0.405010    0.418650


 k=(    0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197514    0.093823    0.144641    0.147719    0.254482
         0.336022    0.397380    0.397607


 k=(    0.111111    0.222222    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207165    0.101583    0.163557    0.172294    0.286732
         0.333155    0.359928    0.385068


 k=(    0.000000    0.222222    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205377    0.079451    0.177335    0.188797    0.282515
         0.326951    0.337397    0.435840


 k=(   -0.111111    0.222222    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192275    0.054911    0.133023    0.186056    0.304041
         0.332471    0.347134    0.425966


 k=(   -0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168886    0.023848    0.085018    0.169954    0.305409
         0.362896    0.375768    0.418153


 k=(   -0.333333    0.222222    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139324   -0.020177    0.070088    0.150920    0.287076
         0.382231    0.388168    0.466730


 k=(    0.555556    0.222222    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124846   -0.040113    0.075910    0.137088    0.273441
         0.386684    0.397892    0.430942


 k=(    0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153865   -0.022466    0.132202    0.153303    0.285776
         0.330090    0.355980    0.452443


 k=(    0.333333    0.111111    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183484    0.034899    0.146450    0.157521    0.290522
         0.333384    0.365559    0.400359


 k=(    0.222222    0.111111    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207252    0.103778    0.162515    0.170733    0.286627
         0.333671    0.358784    0.384644


 k=(    0.111111    0.111111    0.000000):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220645    0.161928    0.180116    0.185729    0.283044
         0.333357    0.334143    0.356853


 k=(    0.000000    0.111111    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222578    0.154112    0.192584    0.205309    0.297998
         0.308243    0.316002    0.363265


 k=(   -0.111111    0.111111    0.000000):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212935    0.118959    0.156049    0.201202    0.309630
         0.318889    0.324116    0.399460


 k=(   -0.222222    0.111111    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192387    0.056162    0.131758    0.186388    0.303394
         0.331112    0.347160    0.426794


 k=(   -0.333333    0.111111    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163673   -0.005822    0.122831    0.169937    0.291997
         0.334878    0.346244    0.473820


 k=(   -0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140307   -0.043155    0.123553    0.158017    0.285594
         0.330264    0.347224    0.503743


 k=(   -0.444444    0.000000    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.150595   -0.037986    0.157588    0.169434    0.260580
         0.323069    0.336767    0.490123


 k=(   -0.333333    0.000000    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178866    0.012149    0.163959    0.175861    0.267931
         0.328054    0.341367    0.491123


 k=(   -0.222222    0.000000    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205502    0.081188    0.176028    0.188365    0.281542
         0.326170    0.337250    0.436589


 k=(   -0.111111    0.000000    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222604    0.156268    0.190780    0.204597    0.296719
         0.308458    0.316681    0.363765


 k=(    0.000000    0.000000    0.000000):       259 3-d basis functions
 the   8 eigenvalues are:
        -0.228429    0.198311    0.203902    0.215994    0.293994
         0.300756    0.304268    0.321011


 fermi energy and band-weighting factors:

FERMIE:
          first approx. to ef    (T=0)  :  0.215994 htr   (energy of the highest occ. eigenvalue)
          number of occ. states  (T=0)  :      1460
          first approx. to seigv (T=0)  :  0.176446 htr
          sum of weights of occ. states :  4.000000
          sum of semicore eigenvalues   :  0.000000 htr
          sum of semicore charge        :  0.000000 e



FERHIS:  Fermi-Energy by histogram:

          bandgap                     :   0.012007 htr
          charge neutrality (T=0)     :   0.000000    (zero if the highest occ. eigenvalue is "entirely" occupied)

     EF_NEWTON:  Adjust Fermi-Energy by Newton-Method.

               Number of iterations needed  :   4
               The error in the weight is   :  0.81924E-14
               The error in ef is           : -0.58845E-12 htr


     -->  new fermi energy            :   0.221269 htr
          valence charge              :   8.000000 e 
          actual charge blw ef-8kt    :   7.997257 e 
          actual charge blw ef+8kt    :   8.000000 e 
          number of occ. states       :      1463
          sum of the valence weights  :   4.000000
          entropy         :   0.000200 *kb htr/K =   0.00000 htr/K

          sum of val. single particle energies:         0.1764462905 htr



          valence density: spin= 1

     l-like charge
     atom     s        p        d        f        total
 --> 1    0.89050  1.17094  0.08212  0.00603    2.15119
 --> 2    0.89050  1.17094  0.08212  0.00603    2.15119
 Energy Parameters for spin:           1
 Max. mismatch of energy parameters:    0.000000

     energy parameters for window 1
     atom     s        p        d        f
 -->  1   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0
 -->  2   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0

          total charge for spin  1=    8.000000
          interst. charge =       3.697628
          mt charge=              2.151186    2.151186

          total charge  =    8.000000


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.2037        2.
               2.   0.   0.5   -4.7107        2.
               2.   1.   0.5   -3.1110        2.
               2.   1.   1.5   -3.0872        4.
          atom type  1  (spin 1) 
          kinetic energy=  0.285372365579E+03     sum of the eigenvalues= -0.158399795190E+03
          0.00178912  electrons lost from core.


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.2037        2.
               2.   0.   0.5   -4.7107        2.
               2.   1.   0.5   -3.1110        2.
               2.   1.   1.5   -3.0872        4.
          atom type  2  (spin 1) 
          kinetic energy=  0.285372365591E+03     sum of the eigenvalues= -0.158399795255E+03
          0.00178912  electrons lost from core.

          alpha=   1.39394     acoff=   0.09674

          alpha=   1.39394     acoff=   0.09674

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*



     t o t a l  e n e r g y

          sum of eigenvalues =              -316.6231441543

          density-coulomb potential int     -844.4026100730

          density-effective potential i     -898.3127841819

          charge density-ex.-corr.energ      -41.7445141105
 
 FORCES: EQUATION A3 FOR ATOM TYPE   1
 FX_A3= -0.013532  0.000000 FY_A3= -0.008921  0.000000 FZ_A3= -0.004206  0.000000
 FORCES: EQUATION A3 FOR ATOM TYPE   2
 FX_A3=  0.013532  0.000000 FY_A3=  0.008921  0.000000 FZ_A3=  0.004206  0.000000

          el.-nucl. inter. diff. m.t.        342.2718666511

          Madelung term for atom type:        -6.6358159805

          el.-nucl. inter. diff. m.t.        342.2718665722

          Madelung term for atom type:        -6.6358160102


 ----> total energy=                        -580.0715443335 htr

 ***** TOTAL FORCES ON ATOMS ***** 

 TOTAL FORCE FOR ATOM TYPE=  1  X=  1.292   Y=  1.292   Z=  1.292
                       FX_TOT=-0.013532 FY_TOT=-0.008921 FZ_TOT=-0.004206
 TOTAL FORCE FOR ATOM TYPE=  2  X= -1.369   Y= -1.344   Z= -1.318
                       FX_TOT= 0.013532 FY_TOT= 0.008921 FZ_TOT= 0.004206
eps_force= 0.00001max= 0.00000


 ---->(tkb*entropy) TS=                        0.0000001998 htr


 ----> free energy=                         -580.0715445333 htr


      extrapolation for T->0
 ----> total electron energy=               -580.0715444334 htr
 wrtdop title:alpha Si                                                                ordered*
 wrtdop title:alpha Si                                                                ordered*
     <vi|w|Fm> for it 2       0.000000
     <vi|w|Fm> for it 3       0.000001
     <vi|w|Fm> for it 4       0.000000
     <vi|w|Fm> for it 5       0.000001
     <vi|w|Fm> for it 6      -0.000002
     <vi|w|Fm> for it 7      -0.000003
     <vi|w|Fm> for it 8      -0.000067
     <vi|w|Fm> for it 9      -0.000089
     <vi|w|Fm> for it10       0.002405
     <vi|w|Fm> for it11      -0.001036
     <vi|w|Fm> for it12      -0.000133
     <vi|w|Fm> for it13       0.013427
     <vi|w|Fm> for it14      -0.029621
     <vi|w|Fm> for it15       1.645302
     <vi|w|Fm> for it16       1.856844

----> distance of charge densities for spin  1        it= 17:   0.000000 me/bohr**3

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*

     ******* it= 17  is completed********



             it=       18

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*


          p o t e n t i a l   g e n e r a t o r


          multipole moments for atom type=    1

  l   m                   original                      plane wave
  0   0          -0.52203E+00    0.00000E+00         0.77848E+00   -0.20173E-14
  1   0           0.16734E-02    0.00000E+00         0.14127E-02   -0.13847E-14
  1   1          -0.49363E-02    0.31538E-02        -0.40563E-02    0.25988E-02
  1  -1           0.49363E-02    0.31538E-02         0.40563E-02    0.25988E-02
  1   1          -0.49363E-02    0.31538E-02        -0.40563E-02    0.25988E-02
  1  -1           0.49363E-02    0.31538E-02         0.40563E-02    0.25988E-02
  2   0           0.52203E-03    0.00000E+00         0.49875E-03    0.33579E-17
  2   1           0.12346E-01   -0.18690E-01         0.11743E-01   -0.17751E-01
  2  -1          -0.12346E-01   -0.18690E-01        -0.11743E-01   -0.17751E-01
  2   2          -0.29032E-03    0.58685E-02        -0.27746E-03    0.56344E-02
  2  -2          -0.29032E-03   -0.58685E-02        -0.27746E-03   -0.56344E-02
  2   1           0.12346E-01   -0.18690E-01         0.11743E-01   -0.17751E-01
  2  -1          -0.12346E-01   -0.18690E-01        -0.11743E-01   -0.17751E-01
  2   2          -0.29032E-03    0.58685E-02        -0.27746E-03    0.56344E-02
  2  -2          -0.29032E-03   -0.58685E-02        -0.27746E-03   -0.56344E-02
  3   0          -0.84953E-02    0.00000E+00        -0.82483E-02   -0.13950E-14
  3   1          -0.10736E-01    0.72030E-02        -0.10356E-01    0.69547E-02
  3  -1           0.10736E-01    0.72030E-02         0.10356E-01    0.69547E-02
  3   2          -0.55444E-05    0.46967E+00        -0.47340E-05    0.46256E+00
  3  -2          -0.55444E-05   -0.46967E+00        -0.47340E-05   -0.46256E+00
  3   3           0.13842E-01    0.92682E-02         0.13355E-01    0.89520E-02
  3  -3          -0.13842E-01    0.92682E-02        -0.13355E-01    0.89520E-02
  3   1          -0.10736E-01    0.72030E-02        -0.10356E-01    0.69547E-02
  3  -1           0.10736E-01    0.72030E-02         0.10356E-01    0.69547E-02
  3   2          -0.55444E-05    0.46967E+00        -0.47340E-05    0.46256E+00
  3  -2          -0.55444E-05   -0.46967E+00        -0.47340E-05   -0.46256E+00
  3   3           0.13842E-01    0.92682E-02         0.13355E-01    0.89520E-02
  3  -3          -0.13842E-01    0.92682E-02        -0.13355E-01    0.89520E-02
  4   0          -0.27309E+00    0.00000E+00        -0.26912E+00    0.10335E-14
  4   1           0.34670E-03   -0.37978E-03         0.41295E-03   -0.48739E-03
  4  -1          -0.34670E-03   -0.37978E-03        -0.41295E-03   -0.48739E-03
  4   2          -0.31491E-03   -0.10924E-02        -0.30581E-03   -0.11522E-02
  4  -2          -0.31491E-03    0.10924E-02        -0.30581E-03    0.11522E-02
  4   3           0.83823E-03    0.95989E-03         0.10181E-02    0.12472E-02
  4  -3          -0.83823E-03    0.95989E-03        -0.10181E-02    0.12472E-02
  4   4          -0.16268E+00   -0.84935E-05        -0.16032E+00   -0.79850E-05
  4  -4          -0.16268E+00    0.84935E-05        -0.16032E+00    0.79850E-05
  4   1           0.34670E-03   -0.37978E-03         0.41295E-03   -0.48739E-03
  4  -1          -0.34670E-03   -0.37978E-03        -0.41295E-03   -0.48739E-03
  4   2          -0.31491E-03   -0.10924E-02        -0.30581E-03   -0.11522E-02
  4  -2          -0.31491E-03    0.10924E-02        -0.30581E-03    0.11522E-02
  4   3           0.83823E-03    0.95989E-03         0.10181E-02    0.12472E-02
  4  -3          -0.83823E-03    0.95989E-03        -0.10181E-02    0.12472E-02
  4   4          -0.16268E+00   -0.84935E-05        -0.16032E+00   -0.79850E-05
  4  -4          -0.16268E+00    0.84935E-05        -0.16032E+00    0.79850E-05
  5   0           0.53228E-02    0.00000E+00         0.52640E-02   -0.60115E-15
  5   1           0.43744E-02   -0.27155E-02         0.42149E-02   -0.26121E-02
  5  -1          -0.43744E-02   -0.27155E-02        -0.42149E-02   -0.26121E-02
  5   2           0.77404E-05    0.61510E-03         0.76072E-05    0.60126E-03
  5  -2           0.77404E-05   -0.61510E-03         0.76072E-05   -0.60126E-03
  5   3           0.17820E-01    0.11793E-01         0.17488E-01    0.11572E-01
  5  -3          -0.17820E-01    0.11793E-01        -0.17488E-01    0.11572E-01
  5   4          -0.46735E-02   -0.48302E-03        -0.45591E-02   -0.47202E-03
  5  -4          -0.46735E-02    0.48302E-03        -0.45591E-02    0.47202E-03
  5   5          -0.37256E-02    0.26169E-02        -0.37317E-02    0.26183E-02
  5  -5           0.37256E-02    0.26169E-02         0.37317E-02    0.26183E-02
  5   1           0.43744E-02   -0.27155E-02         0.42149E-02   -0.26121E-02
  5  -1          -0.43744E-02   -0.27155E-02        -0.42149E-02   -0.26121E-02
  5   2           0.77404E-05    0.61510E-03         0.76072E-05    0.60126E-03
  5  -2           0.77404E-05   -0.61510E-03         0.76072E-05   -0.60126E-03
  5   3           0.17820E-01    0.11793E-01         0.17488E-01    0.11572E-01
  5  -3          -0.17820E-01    0.11793E-01        -0.17488E-01    0.11572E-01
  5   4          -0.46735E-02   -0.48302E-03        -0.45591E-02   -0.47202E-03
  5  -4          -0.46735E-02    0.48302E-03        -0.45591E-02    0.47202E-03
  5   5          -0.37256E-02    0.26169E-02        -0.37317E-02    0.26183E-02
  5  -5           0.37256E-02    0.26169E-02         0.37317E-02    0.26183E-02
  6   0           0.10281E+00    0.00000E+00         0.10175E+00    0.11798E-14
  6   1          -0.64039E-02    0.97175E-02        -0.63488E-02    0.96355E-02
  6  -1           0.64039E-02    0.97175E-02         0.63488E-02    0.96355E-02
  6   2           0.11842E-03   -0.60791E-02         0.11734E-03   -0.60171E-02
  6  -2           0.11842E-03    0.60791E-02         0.11734E-03    0.60171E-02
  6   3          -0.42897E-02   -0.62277E-02        -0.42488E-02   -0.61690E-02
  6  -3           0.42897E-02   -0.62277E-02         0.42488E-02   -0.61690E-02
  6   4          -0.19311E+00   -0.54792E-05        -0.19113E+00   -0.55819E-05
  6  -4          -0.19311E+00    0.54792E-05        -0.19113E+00    0.55819E-05
  6   5          -0.97093E-02    0.14433E-01        -0.96202E-02    0.14304E-01
  6  -5           0.97093E-02    0.14433E-01         0.96202E-02    0.14304E-01
  6   6           0.17606E-03   -0.20776E-02         0.17447E-03   -0.20575E-02
  6  -6           0.17606E-03    0.20776E-02         0.17447E-03    0.20575E-02
  6   1          -0.64039E-02    0.97175E-02        -0.63488E-02    0.96355E-02
  6  -1           0.64039E-02    0.97175E-02         0.63488E-02    0.96355E-02
  6   2           0.11842E-03   -0.60791E-02         0.11734E-03   -0.60171E-02
  6  -2           0.11842E-03    0.60791E-02         0.11734E-03    0.60171E-02
  6   3          -0.42897E-02   -0.62277E-02        -0.42488E-02   -0.61690E-02
  6  -3           0.42897E-02   -0.62277E-02         0.42488E-02   -0.61690E-02
  6   4          -0.19311E+00   -0.54792E-05        -0.19113E+00   -0.55819E-05
  6  -4          -0.19311E+00    0.54792E-05        -0.19113E+00    0.55819E-05
  6   5          -0.97093E-02    0.14433E-01        -0.96202E-02    0.14304E-01
  6  -5           0.97093E-02    0.14433E-01         0.96202E-02    0.14304E-01
  6   6           0.17606E-03   -0.20776E-02         0.17447E-03   -0.20575E-02
  6  -6           0.17606E-03    0.20776E-02         0.17447E-03    0.20575E-02
  7   0           0.24636E-02    0.00000E+00         0.24471E-02    0.49370E-14
  7   1           0.51584E-02   -0.35463E-02         0.51444E-02   -0.35370E-02
  7  -1          -0.51584E-02   -0.35463E-02        -0.51444E-02   -0.35370E-02
  7   2           0.24198E-05   -0.12873E+00         0.24105E-05   -0.12878E+00
  7  -2           0.24198E-05    0.12873E+00         0.24105E-05    0.12878E+00
  7   3          -0.12548E-02   -0.85873E-03        -0.12390E-02   -0.84835E-03
  7  -3           0.12548E-02   -0.85873E-03         0.12390E-02   -0.84835E-03
  7   4           0.24426E-02   -0.36118E-03         0.24431E-02   -0.36207E-03
  7  -4           0.24426E-02    0.36118E-03         0.24431E-02    0.36207E-03
  7   5          -0.27215E-02    0.18617E-02        -0.27404E-02    0.18744E-02
  7  -5           0.27215E-02    0.18617E-02         0.27404E-02    0.18744E-02
  7   6           0.43108E-05   -0.11780E+00         0.42436E-05   -0.11784E+00
  7  -6           0.43108E-05    0.11780E+00         0.42436E-05    0.11784E+00
  7   7          -0.47002E-02   -0.32247E-02        -0.46773E-02   -0.32095E-02
  7  -7           0.47002E-02   -0.32247E-02         0.46773E-02   -0.32095E-02
  7   1           0.51584E-02   -0.35463E-02         0.51444E-02   -0.35370E-02
  7  -1          -0.51584E-02   -0.35463E-02        -0.51444E-02   -0.35370E-02
  7   2           0.24198E-05   -0.12873E+00         0.24105E-05   -0.12878E+00
  7  -2           0.24198E-05    0.12873E+00         0.24105E-05    0.12878E+00
  7   3          -0.12548E-02   -0.85873E-03        -0.12390E-02   -0.84835E-03
  7  -3           0.12548E-02   -0.85873E-03         0.12390E-02   -0.84835E-03
  7   4           0.24426E-02   -0.36118E-03         0.24431E-02   -0.36207E-03
  7  -4           0.24426E-02    0.36118E-03         0.24431E-02    0.36207E-03
  7   5          -0.27215E-02    0.18617E-02        -0.27404E-02    0.18744E-02
  7  -5           0.27215E-02    0.18617E-02         0.27404E-02    0.18744E-02
  7   6           0.43108E-05   -0.11780E+00         0.42436E-05   -0.11784E+00
  7  -6           0.43108E-05    0.11780E+00         0.42436E-05    0.11784E+00
  7   7          -0.47002E-02   -0.32247E-02        -0.46773E-02   -0.32095E-02
  7  -7           0.47002E-02   -0.32247E-02         0.46773E-02   -0.32095E-02
  8   0           0.52642E-01    0.00000E+00         0.56887E-01   -0.10061E-14
  8   1           0.59093E-03   -0.93583E-03         0.52886E-03   -0.83506E-03
  8  -1          -0.59093E-03   -0.93583E-03        -0.52886E-03   -0.83506E-03
  8   2           0.10441E-03    0.31323E-02         0.11464E-03    0.34713E-02
  8  -2           0.10441E-03   -0.31323E-02         0.11464E-03   -0.34713E-02
  8   3          -0.88121E-03   -0.12354E-02        -0.11223E-02   -0.16026E-02
  8  -3           0.88121E-03   -0.12354E-02         0.11223E-02   -0.16026E-02
  8   4           0.19352E-01    0.86412E-05         0.20944E-01    0.86870E-05
  8  -4           0.19352E-01   -0.86412E-05         0.20944E-01   -0.86870E-05
  8   5          -0.56801E-02    0.85186E-02        -0.61404E-02    0.92034E-02
  8  -5           0.56801E-02    0.85186E-02         0.61404E-02    0.92034E-02
  8   6           0.32656E-03   -0.14342E-02         0.33088E-03   -0.14899E-02
  8  -6           0.32656E-03    0.14342E-02         0.33088E-03    0.14899E-02
  8   7          -0.33965E-02   -0.50344E-02        -0.38739E-02   -0.57563E-02
  8  -7           0.33965E-02   -0.50344E-02         0.38739E-02   -0.57563E-02
  8   8           0.29792E-01   -0.13932E-05         0.32206E-01   -0.21262E-05
  8  -8           0.29792E-01    0.13932E-05         0.32206E-01    0.21262E-05
  8   1           0.59093E-03   -0.93583E-03         0.52886E-03   -0.83506E-03
  8  -1          -0.59093E-03   -0.93583E-03        -0.52886E-03   -0.83506E-03
  8   2           0.10441E-03    0.31323E-02         0.11464E-03    0.34713E-02
  8  -2           0.10441E-03   -0.31323E-02         0.11464E-03   -0.34713E-02
  8   3          -0.88121E-03   -0.12354E-02        -0.11223E-02   -0.16026E-02
  8  -3           0.88121E-03   -0.12354E-02         0.11223E-02   -0.16026E-02
  8   4           0.19352E-01    0.86412E-05         0.20944E-01    0.86870E-05
  8  -4           0.19352E-01   -0.86412E-05         0.20944E-01   -0.86870E-05
  8   5          -0.56801E-02    0.85186E-02        -0.61404E-02    0.92034E-02
  8  -5           0.56801E-02    0.85186E-02         0.61404E-02    0.92034E-02
  8   6           0.32656E-03   -0.14342E-02         0.33088E-03   -0.14899E-02
  8  -6           0.32656E-03    0.14342E-02         0.33088E-03    0.14899E-02
  8   7          -0.33965E-02   -0.50344E-02        -0.38739E-02   -0.57563E-02
  8  -7           0.33965E-02   -0.50344E-02         0.38739E-02   -0.57563E-02
  8   8           0.29792E-01   -0.13932E-05         0.32206E-01   -0.21262E-05
  8  -8           0.29792E-01    0.13932E-05         0.32206E-01    0.21262E-05

          multipole moments for atom type=    2

  l   m                   original                      plane wave
  0   0          -0.52203E+00    0.00000E+00         0.77848E+00   -0.82964E-15
  1   0          -0.16734E-02    0.00000E+00        -0.14127E-02   -0.13121E-15
  1   1           0.49363E-02   -0.31538E-02         0.40563E-02   -0.25988E-02
  1  -1          -0.49363E-02   -0.31538E-02        -0.40563E-02   -0.25988E-02
  1   1           0.49363E-02   -0.31538E-02         0.40563E-02   -0.25988E-02
  1  -1          -0.49363E-02   -0.31538E-02        -0.40563E-02   -0.25988E-02
  2   0           0.52203E-03    0.00000E+00         0.49874E-03    0.39173E-16
  2   1           0.12346E-01   -0.18690E-01         0.11743E-01   -0.17751E-01
  2  -1          -0.12346E-01   -0.18690E-01        -0.11743E-01   -0.17751E-01
  2   2          -0.29035E-03    0.58685E-02        -0.27749E-03    0.56344E-02
  2  -2          -0.29035E-03   -0.58685E-02        -0.27749E-03   -0.56344E-02
  2   1           0.12346E-01   -0.18690E-01         0.11743E-01   -0.17751E-01
  2  -1          -0.12346E-01   -0.18690E-01        -0.11743E-01   -0.17751E-01
  2   2          -0.29035E-03    0.58685E-02        -0.27749E-03    0.56344E-02
  2  -2          -0.29035E-03   -0.58685E-02        -0.27749E-03   -0.56344E-02
  3   0           0.84952E-02    0.00000E+00         0.82483E-02   -0.54627E-15
  3   1           0.10736E-01   -0.72030E-02         0.10357E-01   -0.69547E-02
  3  -1          -0.10736E-01   -0.72030E-02        -0.10357E-01   -0.69547E-02
  3   2           0.55912E-05   -0.46967E+00         0.47831E-05   -0.46256E+00
  3  -2           0.55912E-05    0.46967E+00         0.47831E-05    0.46256E+00
  3   3          -0.13842E-01   -0.92682E-02        -0.13355E-01   -0.89520E-02
  3  -3           0.13842E-01   -0.92682E-02         0.13355E-01   -0.89520E-02
  3   1           0.10736E-01   -0.72030E-02         0.10357E-01   -0.69547E-02
  3  -1          -0.10736E-01   -0.72030E-02        -0.10357E-01   -0.69547E-02
  3   2           0.55912E-05   -0.46967E+00         0.47831E-05   -0.46256E+00
  3  -2           0.55912E-05    0.46967E+00         0.47831E-05    0.46256E+00
  3   3          -0.13842E-01   -0.92682E-02        -0.13355E-01   -0.89520E-02
  3  -3           0.13842E-01   -0.92682E-02         0.13355E-01   -0.89520E-02
  4   0          -0.27309E+00    0.00000E+00        -0.26912E+00    0.25847E-14
  4   1           0.34671E-03   -0.37970E-03         0.41296E-03   -0.48733E-03
  4  -1          -0.34671E-03   -0.37970E-03        -0.41296E-03   -0.48733E-03
  4   2          -0.31491E-03   -0.10925E-02        -0.30580E-03   -0.11522E-02
  4  -2          -0.31491E-03    0.10925E-02        -0.30580E-03    0.11522E-02
  4   3           0.83822E-03    0.96040E-03         0.10181E-02    0.12477E-02
  4  -3          -0.83822E-03    0.96040E-03        -0.10181E-02    0.12477E-02
  4   4          -0.16268E+00   -0.85624E-05        -0.16032E+00   -0.80561E-05
  4  -4          -0.16268E+00    0.85624E-05        -0.16032E+00    0.80561E-05
  4   1           0.34671E-03   -0.37970E-03         0.41296E-03   -0.48733E-03
  4  -1          -0.34671E-03   -0.37970E-03        -0.41296E-03   -0.48733E-03
  4   2          -0.31491E-03   -0.10925E-02        -0.30580E-03   -0.11522E-02
  4  -2          -0.31491E-03    0.10925E-02        -0.30580E-03    0.11522E-02
  4   3           0.83822E-03    0.96040E-03         0.10181E-02    0.12477E-02
  4  -3          -0.83822E-03    0.96040E-03        -0.10181E-02    0.12477E-02
  4   4          -0.16268E+00   -0.85624E-05        -0.16032E+00   -0.80561E-05
  4  -4          -0.16268E+00    0.85624E-05        -0.16032E+00    0.80561E-05
  5   0          -0.53229E-02    0.00000E+00        -0.52640E-02   -0.21738E-14
  5   1          -0.43744E-02    0.27155E-02        -0.42150E-02    0.26121E-02
  5  -1           0.43744E-02    0.27155E-02         0.42150E-02    0.26121E-02
  5   2          -0.77890E-05   -0.61502E-03        -0.76563E-05   -0.60117E-03
  5  -2          -0.77890E-05    0.61502E-03        -0.76563E-05    0.60117E-03
  5   3          -0.17820E-01   -0.11793E-01        -0.17488E-01   -0.11572E-01
  5  -3           0.17820E-01   -0.11793E-01         0.17488E-01   -0.11572E-01
  5   4           0.46737E-02    0.48354E-03         0.45594E-02    0.47257E-03
  5  -4           0.46737E-02   -0.48354E-03         0.45594E-02   -0.47257E-03
  5   5           0.37237E-02   -0.26169E-02         0.37297E-02   -0.26183E-02
  5  -5          -0.37237E-02   -0.26169E-02        -0.37297E-02   -0.26183E-02
  5   1          -0.43744E-02    0.27155E-02        -0.42150E-02    0.26121E-02
  5  -1           0.43744E-02    0.27155E-02         0.42150E-02    0.26121E-02
  5   2          -0.77890E-05   -0.61502E-03        -0.76563E-05   -0.60117E-03
  5  -2          -0.77890E-05    0.61502E-03        -0.76563E-05    0.60117E-03
  5   3          -0.17820E-01   -0.11793E-01        -0.17488E-01   -0.11572E-01
  5  -3           0.17820E-01   -0.11793E-01         0.17488E-01   -0.11572E-01
  5   4           0.46737E-02    0.48354E-03         0.45594E-02    0.47257E-03
  5  -4           0.46737E-02   -0.48354E-03         0.45594E-02   -0.47257E-03
  5   5           0.37237E-02   -0.26169E-02         0.37297E-02   -0.26183E-02
  5  -5          -0.37237E-02   -0.26169E-02        -0.37297E-02   -0.26183E-02
  6   0           0.10281E+00    0.00000E+00         0.10175E+00    0.23579E-14
  6   1          -0.64039E-02    0.97176E-02        -0.63488E-02    0.96356E-02
  6  -1           0.64039E-02    0.97176E-02         0.63488E-02    0.96356E-02
  6   2           0.11860E-03   -0.60791E-02         0.11752E-03   -0.60171E-02
  6  -2           0.11860E-03    0.60791E-02         0.11752E-03    0.60171E-02
  6   3          -0.42897E-02   -0.62284E-02        -0.42489E-02   -0.61697E-02
  6  -3           0.42897E-02   -0.62284E-02         0.42489E-02   -0.61697E-02
  6   4          -0.19311E+00   -0.55885E-05        -0.19113E+00   -0.56943E-05
  6  -4          -0.19311E+00    0.55885E-05        -0.19113E+00    0.56943E-05
  6   5          -0.97095E-02    0.14433E-01        -0.96204E-02    0.14304E-01
  6  -5           0.97095E-02    0.14433E-01         0.96204E-02    0.14304E-01
  6   6           0.17553E-03   -0.20772E-02         0.17391E-03   -0.20571E-02
  6  -6           0.17553E-03    0.20772E-02         0.17391E-03    0.20571E-02
  6   1          -0.64039E-02    0.97176E-02        -0.63488E-02    0.96356E-02
  6  -1           0.64039E-02    0.97176E-02         0.63488E-02    0.96356E-02
  6   2           0.11860E-03   -0.60791E-02         0.11752E-03   -0.60171E-02
  6  -2           0.11860E-03    0.60791E-02         0.11752E-03    0.60171E-02
  6   3          -0.42897E-02   -0.62284E-02        -0.42489E-02   -0.61697E-02
  6  -3           0.42897E-02   -0.62284E-02         0.42489E-02   -0.61697E-02
  6   4          -0.19311E+00   -0.55885E-05        -0.19113E+00   -0.56943E-05
  6  -4          -0.19311E+00    0.55885E-05        -0.19113E+00    0.56943E-05
  6   5          -0.97095E-02    0.14433E-01        -0.96204E-02    0.14304E-01
  6  -5           0.97095E-02    0.14433E-01         0.96204E-02    0.14304E-01
  6   6           0.17553E-03   -0.20772E-02         0.17391E-03   -0.20571E-02
  6  -6           0.17553E-03    0.20772E-02         0.17391E-03    0.20571E-02
  7   0          -0.24634E-02    0.00000E+00        -0.24470E-02   -0.14173E-15
  7   1          -0.51588E-02    0.35464E-02        -0.51448E-02    0.35370E-02
  7  -1           0.51588E-02    0.35464E-02         0.51448E-02    0.35370E-02
  7   2          -0.24077E-05    0.12873E+00        -0.23975E-05    0.12878E+00
  7  -2          -0.24077E-05   -0.12873E+00        -0.23975E-05   -0.12878E+00
  7   3           0.12555E-02    0.85878E-03         0.12398E-02    0.84840E-03
  7  -3          -0.12555E-02    0.85878E-03        -0.12398E-02    0.84840E-03
  7   4          -0.24427E-02    0.36109E-03        -0.24432E-02    0.36198E-03
  7  -4          -0.24427E-02   -0.36109E-03        -0.24432E-02   -0.36198E-03
  7   5           0.27233E-02   -0.18617E-02         0.27423E-02   -0.18744E-02
  7  -5          -0.27233E-02   -0.18617E-02        -0.27423E-02   -0.18744E-02
  7   6          -0.43803E-05    0.11780E+00        -0.43125E-05    0.11784E+00
  7  -6          -0.43803E-05   -0.11780E+00        -0.43125E-05   -0.11784E+00
  7   7           0.47002E-02    0.32245E-02         0.46773E-02    0.32093E-02
  7  -7          -0.47002E-02    0.32245E-02        -0.46773E-02    0.32093E-02
  7   1          -0.51588E-02    0.35464E-02        -0.51448E-02    0.35370E-02
  7  -1           0.51588E-02    0.35464E-02         0.51448E-02    0.35370E-02
  7   2          -0.24077E-05    0.12873E+00        -0.23975E-05    0.12878E+00
  7  -2          -0.24077E-05   -0.12873E+00        -0.23975E-05   -0.12878E+00
  7   3           0.12555E-02    0.85878E-03         0.12398E-02    0.84840E-03
  7  -3          -0.12555E-02    0.85878E-03        -0.12398E-02    0.84840E-03
  7   4          -0.24427E-02    0.36109E-03        -0.24432E-02    0.36198E-03
  7  -4          -0.24427E-02   -0.36109E-03        -0.24432E-02   -0.36198E-03
  7   5           0.27233E-02   -0.18617E-02         0.27423E-02   -0.18744E-02
  7  -5          -0.27233E-02   -0.18617E-02        -0.27423E-02   -0.18744E-02
  7   6          -0.43803E-05    0.11780E+00        -0.43125E-05    0.11784E+00
  7  -6          -0.43803E-05   -0.11780E+00        -0.43125E-05   -0.11784E+00
  7   7           0.47002E-02    0.32245E-02         0.46773E-02    0.32093E-02
  7  -7          -0.47002E-02    0.32245E-02        -0.46773E-02    0.32093E-02
  8   0           0.52642E-01    0.00000E+00         0.56887E-01   -0.10145E-13
  8   1           0.59091E-03   -0.93639E-03         0.52884E-03   -0.83566E-03
  8  -1          -0.59091E-03   -0.93639E-03        -0.52884E-03   -0.83566E-03
  8   2           0.10447E-03    0.31325E-02         0.11473E-03    0.34716E-02
  8  -2           0.10447E-03   -0.31325E-02         0.11473E-03   -0.34716E-02
  8   3          -0.88123E-03   -0.12358E-02        -0.11223E-02   -0.16031E-02
  8  -3           0.88123E-03   -0.12358E-02         0.11223E-02   -0.16031E-02
  8   4           0.19352E-01    0.87883E-05         0.20944E-01    0.88496E-05
  8  -4           0.19352E-01   -0.87883E-05         0.20944E-01   -0.88496E-05
  8   5          -0.56801E-02    0.85179E-02        -0.61404E-02    0.92027E-02
  8  -5           0.56801E-02    0.85179E-02         0.61404E-02    0.92027E-02
  8   6           0.32691E-03   -0.14344E-02         0.33123E-03   -0.14900E-02
  8  -6           0.32691E-03    0.14344E-02         0.33123E-03    0.14900E-02
  8   7          -0.33965E-02   -0.50330E-02        -0.38739E-02   -0.57549E-02
  8  -7           0.33965E-02   -0.50330E-02         0.38739E-02   -0.57549E-02
  8   8           0.29792E-01   -0.14592E-05         0.32206E-01   -0.21945E-05
  8  -8           0.29792E-01    0.14592E-05         0.32206E-01    0.21945E-05
  8   1           0.59091E-03   -0.93639E-03         0.52884E-03   -0.83566E-03
  8  -1          -0.59091E-03   -0.93639E-03        -0.52884E-03   -0.83566E-03
  8   2           0.10447E-03    0.31325E-02         0.11473E-03    0.34716E-02
  8  -2           0.10447E-03   -0.31325E-02         0.11473E-03   -0.34716E-02
  8   3          -0.88123E-03   -0.12358E-02        -0.11223E-02   -0.16031E-02
  8  -3           0.88123E-03   -0.12358E-02         0.11223E-02   -0.16031E-02
  8   4           0.19352E-01    0.87883E-05         0.20944E-01    0.88496E-05
  8  -4           0.19352E-01   -0.87883E-05         0.20944E-01   -0.88496E-05
  8   5          -0.56801E-02    0.85179E-02        -0.61404E-02    0.92027E-02
  8  -5           0.56801E-02    0.85179E-02         0.61404E-02    0.92027E-02
  8   6           0.32691E-03   -0.14344E-02         0.33123E-03   -0.14900E-02
  8  -6           0.32691E-03    0.14344E-02         0.33123E-03    0.14900E-02
  8   7          -0.33965E-02   -0.50330E-02        -0.38739E-02   -0.57549E-02
  8  -7           0.33965E-02   -0.50330E-02         0.38739E-02   -0.57549E-02
  8   8           0.29792E-01   -0.14592E-05         0.32206E-01   -0.21945E-05
  8  -8           0.29792E-01    0.14592E-05         0.32206E-01    0.21945E-05

          integral of pseudo charge density inside the slab=        0.000000   0.000000

     coulomb potential in the interstitial region:

          density-coulomb potential integrals


          interstitial :                       0.7807211030

          muffin tin spheres :              -845.1833312158

          total density-coulomb potenti     -844.4026101127
 wrtdop title:alpha Si                                                                ordered*

     interstitial potential average (vbar) = -0.027906

 999idsprs in starting of nmtxad= 0

          density-effective potential integrals for spin  1


          interstitial :                      -0.4749448185

          muffin tin spheres :              -897.8378393969

          total density-effective poten     -898.3127842154

          charge density-energy density integrals


          interstitial :                      -0.9795633321

          muffin tin spheres :               -40.7649507740

          total charge density-energy d      -41.7445141061
 vgen: pottot deleted
 wrtdop title:alpha Si                                                                ordered*
 IT=  18  ISEC1=  99 standard diagonalization
  Atom  1 3s branch from -4.72 to  1.07 htr. ; e_l = -0.1341
  Atom  1 3p branch from -3.11 to  1.55 htr. ; e_l =  0.0500
  Atom  1 3d branch from -9.99 to  1.95 htr. ; e_l =  0.2439
  Atom  1 4f branch from -9.99 to  4.11 htr. ; e_l =  0.4116
  Atom  2 3s branch from -4.72 to  1.07 htr. ; e_l = -0.1341
  Atom  2 3p branch from -3.11 to  1.55 htr. ; e_l =  0.0500
  Atom  2 3d branch from -9.99 to  1.95 htr. ; e_l =  0.2439
  Atom  2 4f branch from -9.99 to  4.11 htr. ; e_l =  0.4116


 wavefunction parameters for atom type  1:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.13409        4.7800588E-01  -2.4465366E-01    2       -3.1232929E-01  -7.4530269E-01    2   1.0766710E-01   4.3267158E-01
  1   0.04999       -5.5348712E-01   9.9418243E-02    1        2.6599578E-01   7.3396795E-01    2   7.9521943E-02   4.3268664E-01
  2   0.24387        6.4439219E-01   1.6344256E-01    0       -2.3289853E-01  -7.3053287E-01    1   6.5178938E-02   4.3268414E-01
  3   0.41164        8.3800007E-01   7.5544845E-01    0       -1.2158489E-01  -6.2593055E-01    1   1.3122242E-02   4.3267873E-01
  4   0.41164        9.7736354E-01   1.4626809E+00    0       -8.2132586E-02  -5.6560526E-01    1   4.9166923E-03   4.3266820E-01
  5   0.41164        1.0889890E+00   2.2153832E+00    0       -6.1660944E-02  -5.2273998E-01    1   2.3795468E-03   4.3265549E-01
  6   0.41164        1.1859741E+00   3.0206232E+00    0       -4.8925249E-02  -4.8940792E-01    1   1.3189789E-03   4.3264038E-01
  7   0.41164        1.2734321E+00   3.8786657E+00    0       -4.0219931E-02  -4.6223314E-01    1   7.9808738E-04   4.3262283E-01
  8   0.41164        1.3539864E+00   4.7881050E+00    0       -3.3904804E-02  -4.3940067E-01    1   5.1413446E-04   4.3260278E-01


 wavefunction parameters for atom type  2:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.13409        4.7800588E-01  -2.4465367E-01    2       -3.1232930E-01  -7.4530269E-01    2   1.0766710E-01   4.3267158E-01
  1   0.04999       -5.5348712E-01   9.9418253E-02    1        2.6599578E-01   7.3396795E-01    2   7.9521945E-02   4.3268664E-01
  2   0.24387        6.4439219E-01   1.6344255E-01    0       -2.3289853E-01  -7.3053287E-01    1   6.5178940E-02   4.3268414E-01
  3   0.41164        8.3800006E-01   7.5544844E-01    0       -1.2158489E-01  -6.2593055E-01    1   1.3122243E-02   4.3267873E-01
  4   0.41164        9.7736354E-01   1.4626809E+00    0       -8.2132587E-02  -5.6560526E-01    1   4.9166924E-03   4.3266820E-01
  5   0.41164        1.0889890E+00   2.2153832E+00    0       -6.1660944E-02  -5.2273998E-01    1   2.3795468E-03   4.3265549E-01
  6   0.41164        1.1859741E+00   3.0206232E+00    0       -4.8925250E-02  -4.8940792E-01    1   1.3189789E-03   4.3264038E-01
  7   0.41164        1.2734321E+00   3.8786657E+00    0       -4.0219931E-02  -4.6223314E-01    1   7.9808738E-04   4.3262283E-01
  8   0.41164        1.3539864E+00   4.7881050E+00    0       -3.3904804E-02  -4.3940067E-01    1   5.1413446E-04   4.3260278E-01


 k=(    0.444444    0.444444    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.153280   -0.031293    0.159306    0.163882    0.258587
         0.324574    0.329870    0.487745


 k=(    0.333333    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155807   -0.016636    0.134401    0.147133    0.282764
         0.327031    0.355424    0.456842


 k=(    0.222222    0.444444    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149604   -0.001541    0.095572    0.126844    0.263607
         0.363102    0.395648    0.410692


 k=(    0.111111    0.444444    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133882   -0.013596    0.094256    0.110453    0.240047
         0.284585    0.479228    0.481202


 k=(    0.000000    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.109044   -0.046474    0.102274    0.107596    0.228001
         0.244450    0.544473    0.545265


 k=(   -0.111111    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.085594   -0.069896    0.085730    0.103582    0.233510
         0.270559    0.542643    0.551618


 k=(    0.222222    0.555556    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107770   -0.042866    0.061525    0.114177    0.246329
         0.342994    0.468496    0.471697


 k=(    0.333333    0.555556    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128235   -0.032822    0.076669    0.132190    0.268738
         0.386840    0.397743    0.434831


 k=(    0.555556    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143573   -0.035778    0.125162    0.151858    0.282834
         0.327785    0.346526    0.501226


 k=(    0.444444    0.333333    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155848   -0.016444    0.132471    0.148931    0.283239
         0.328016    0.353720    0.455743


 k=(    0.333333    0.333333    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165140   -0.000120    0.121288    0.166961    0.290187
         0.336918    0.339240    0.476509


 k=(    0.222222    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164629    0.017667    0.096393    0.146835    0.304000
         0.336244    0.384323    0.403148


 k=(    0.111111    0.333333    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153777    0.012629    0.094953    0.119002    0.273270
         0.310800    0.402721    0.466475


 k=(    0.000000    0.333333    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132897   -0.016358    0.090604    0.115990    0.245257
         0.279235    0.479960    0.483708


 k=(   -0.111111    0.333333    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104154   -0.048509    0.083709    0.094294    0.265639
         0.279963    0.470633    0.535967


 k=(   -0.222222    0.333333    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.090022   -0.059316    0.061330    0.092609    0.277041
         0.343700    0.449012    0.458083


 k=(    0.666667    0.333333    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114369   -0.035890    0.057317    0.109589    0.294950
         0.369553    0.431858    0.447727


 k=(    0.555556    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138135   -0.025713    0.090673    0.132751    0.308919
         0.319094    0.402803    0.446686


 k=(    0.444444    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149664   -0.001050    0.093756    0.128137    0.264890
         0.361787    0.395654    0.409422


 k=(    0.333333    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164637    0.017879    0.095589    0.147519    0.304347
         0.337081    0.383680    0.401195


 k=(    0.222222    0.222222    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169430    0.026843    0.085213    0.166317    0.303689
         0.364729    0.374785    0.419056


 k=(    0.111111    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163615    0.011823    0.100896    0.146666    0.310878
         0.335967    0.378024    0.407317


 k=(    0.000000    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147500   -0.009116    0.094899    0.132985    0.270626
         0.356049    0.397572    0.412258


 k=(   -0.111111    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122437   -0.030788    0.069179    0.113230    0.291024
         0.346659    0.390282    0.479096


 k=(   -0.222222    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.093423   -0.055017    0.059246    0.085568    0.343711
         0.355316    0.374634    0.436209


 k=(    0.666667    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.097547   -0.048784    0.061523    0.080911    0.346072
         0.350041    0.373358    0.440554


 k=(    0.555556    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125937   -0.022156    0.070718    0.105886    0.286354
         0.351668    0.385263    0.480628


 k=(    0.444444    0.111111    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133913   -0.013404    0.092962    0.111508    0.241158
         0.283572    0.478323    0.480871


 k=(    0.333333    0.111111    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153753    0.012445    0.095195    0.118980    0.273444
         0.310524    0.402767    0.466291


 k=(    0.222222    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163587    0.011512    0.101809    0.146042    0.310476
         0.335206    0.378640    0.409064


 k=(    0.111111    0.111111    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163011   -0.008656    0.128772    0.164607    0.292702
         0.338562    0.348910    0.472761


 k=(    0.000000    0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152470   -0.026481    0.133392    0.154507    0.287827
         0.333143    0.355790    0.449996


 k=(   -0.111111    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133329   -0.037373    0.089779    0.141346    0.310583
         0.328710    0.400404    0.440718


 k=(   -0.222222    0.111111    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108135   -0.047597    0.056391    0.116496    0.300711
         0.373507    0.424562    0.444467


 k=(    0.666667    0.111111    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.083651   -0.066855    0.057418    0.097685    0.282997
         0.337841    0.447238    0.458981


 k=(    0.555556    0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105951   -0.045297    0.084656    0.091510    0.267532
         0.278610    0.465143    0.535450


 k=(    0.444444    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.108899   -0.046773    0.103235    0.106873    0.228438
         0.243916    0.544599    0.545104


 k=(    0.333333    0.000000    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132760   -0.016957    0.092067    0.115205    0.244238
         0.279979    0.479889    0.485021


 k=(    0.222222    0.000000    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147393   -0.009745    0.096561    0.132041    0.269259
         0.357131    0.397360    0.413956


 k=(    0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152410   -0.026706    0.134675    0.153442    0.287354
         0.331573    0.358003    0.451120


 k=(    0.000000    0.000000    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.148642   -0.042575    0.160062    0.169132    0.262150
         0.326410    0.337164    0.491927


 k=(   -0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137974   -0.048174    0.125660    0.158291    0.287067
         0.332373    0.348737    0.505690


 k=(    0.222222    0.000000    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122505   -0.045135    0.077910    0.137676    0.274764
         0.388984    0.399608    0.428465


 k=(    0.333333    0.000000    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.102677   -0.051272    0.059867    0.119117    0.252256
         0.337270    0.468608    0.474212


 k=(    0.555556    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.078474   -0.077363    0.081258    0.108248    0.239502
         0.264779    0.538562    0.551413


 k=(    0.444444   -0.111111    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.084109   -0.071571    0.084954    0.104556    0.234726
         0.269327    0.541743    0.551730


 k=(    0.333333   -0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103600   -0.049506    0.084206    0.094377    0.265845
         0.279578    0.471764    0.536105


 k=(    0.222222   -0.111111    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122129   -0.031676    0.069958    0.113224    0.289558
         0.347963    0.391349    0.479274


 k=(    0.111111   -0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133163   -0.037753    0.089737    0.141735    0.309839
         0.329372    0.400208    0.441880


 k=(    0.000000   -0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137915   -0.048240    0.124477    0.159654    0.287522
         0.333934    0.346263    0.505543


 k=(    0.111111    0.111111    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.138153   -0.047979    0.130465    0.152824    0.285868
         0.330286    0.353447    0.506323


 k=(    0.222222    0.111111    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133849   -0.036787    0.095366    0.134739    0.313951
         0.321067    0.407414    0.441289


 k=(    0.333333    0.111111    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123242   -0.029372    0.072701    0.108563    0.290730
         0.347842    0.386361    0.483788


 k=(    0.444444    0.111111    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105166   -0.046751    0.084807    0.092220    0.266954
         0.278934    0.467494    0.535857


 k=(    0.555556    0.222222    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107504   -0.043139    0.060397    0.115273    0.247610
         0.341744    0.466893    0.471877


 k=(    0.333333   -0.222222    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.088828   -0.060830    0.060608    0.093662    0.278259
         0.342445    0.448234    0.458743


 k=(    0.222222   -0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.092355   -0.056556    0.059054    0.086289    0.344310
         0.355083    0.375080    0.435353


 k=(    0.111111   -0.222222    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.107761   -0.048133    0.055891    0.117151    0.302189
         0.371762    0.424121    0.444565


 k=(    0.000000    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122418   -0.045102    0.076694    0.138745    0.276222
         0.388455    0.397627    0.428199


 k=(    0.111111    0.222222    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133844   -0.036652    0.093967    0.136107    0.313706
         0.322507    0.405715    0.440282


 k=(    0.222222    0.222222    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139156   -0.021638    0.074186    0.147350    0.284874
         0.388294    0.391059    0.464109


 k=(    0.333333    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136452   -0.012567    0.062918    0.127526    0.315591
         0.353309    0.384294    0.457796


 k=(    0.444444    0.222222    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125404   -0.023438    0.069405    0.108331    0.285807
         0.351643    0.387931    0.477879


 k=(    0.555556    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128116   -0.032855    0.075274    0.133560    0.270061
         0.385933    0.396245    0.434509


 k=(    0.333333    0.666667    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114055   -0.036412    0.056700    0.110434    0.296334
         0.367917    0.431056    0.448197


 k=(    0.222222    0.666667    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.096830   -0.049910    0.060978    0.081911    0.344986
         0.351752    0.373606    0.439645


 k=(    0.111111    0.666667    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.082090   -0.068550    0.056669    0.098526    0.284299
         0.336622    0.447320    0.458708


 k=(    0.000000    0.333333    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.102599   -0.051145    0.058677    0.119961    0.253650
         0.336088    0.467520    0.473761


 k=(    0.111111    0.333333    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123269   -0.029057    0.071175    0.109777    0.291967
         0.346539    0.386542    0.482353


 k=(    0.222222    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136471   -0.012477    0.062848    0.127497    0.315710
         0.352931    0.384607    0.458046


 k=(    0.333333    0.333333    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141151   -0.014450    0.068537    0.148211    0.285077
         0.382633    0.384140    0.470155


 k=(    0.444444    0.333333    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137818   -0.026205    0.087742    0.136429    0.306868
         0.323337    0.398963    0.446858


 k=(    0.444444    0.555556    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143519   -0.035838    0.123536    0.153718    0.283274
         0.328614    0.344756    0.501150


 k=(    0.333333    0.555556    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138010   -0.026039    0.090513    0.133232    0.307766
         0.320180    0.402669    0.447782


 k=(    0.222222    0.555556    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125739   -0.022825    0.071412    0.105803    0.284926
         0.353161    0.386201    0.480745


 k=(    0.111111    0.555556    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105703   -0.045728    0.084051    0.092346    0.266685
         0.279404    0.466263    0.535482


 k=(    0.000000    0.555556    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.079463   -0.076274    0.080299    0.108986    0.240824
         0.263607    0.537596    0.551238


 k=(    0.111111    0.444444    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105311   -0.046454    0.084192    0.092632    0.266418
         0.279550    0.467439    0.535665


 k=(    0.222222    0.444444    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125473   -0.023463    0.070731    0.107041    0.284672
         0.353135    0.387540    0.479334


 k=(    0.333333    0.444444    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137851   -0.026285    0.089041    0.135067    0.306831
         0.322233    0.400715    0.447878


 k=(    0.444444    0.444444    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143466   -0.035899    0.122144    0.155322    0.283736
         0.329990    0.342428    0.501109


 k=(    0.444444    0.444444    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155892   -0.016240    0.130911    0.150326    0.283726
         0.329357    0.351648    0.454679


 k=(    0.333333    0.444444    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165242    0.000192    0.122443    0.165163    0.289830
         0.335665    0.341500    0.475885


 k=(    0.222222    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164788    0.018348    0.097308    0.144991    0.304808
         0.334404    0.384424    0.404723


 k=(    0.111111    0.444444    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154000    0.013880    0.094611    0.118036    0.273641
         0.310805    0.401369    0.466704


 k=(    0.000000    0.444444    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133200   -0.015303    0.089611    0.116052    0.245471
         0.279251    0.479041    0.482459


 k=(   -0.111111    0.444444    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104551   -0.047804    0.083595    0.094014    0.265900
         0.279803    0.469520    0.535942


 k=(   -0.222222    0.444444    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.089973   -0.059387    0.061361    0.092607    0.277035
         0.343677    0.449398    0.457782


 k=(    0.666667    0.444444    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114248   -0.036042    0.056784    0.110244    0.294847
         0.370480    0.432309    0.446762


 k=(    0.555556    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138107   -0.025617    0.089279    0.134173    0.308806
         0.320382    0.400949    0.445762


 k=(    0.444444    0.333333    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165343    0.000488    0.123798    0.163160    0.289509
         0.335413    0.342741    0.475631


 k=(    0.333333    0.333333    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.179955    0.017494    0.165430    0.170026    0.265770
         0.329473    0.334653    0.490746


 k=(    0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184128    0.039434    0.149050    0.150888    0.287487
         0.330615    0.364860    0.405025


 k=(    0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177346    0.049581    0.122922    0.130338    0.258633
         0.324892    0.404632    0.417088


 k=(    0.000000    0.333333    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159802    0.022411    0.115980    0.121805    0.233467
         0.280593    0.469580    0.469776


 k=(   -0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133000   -0.016614    0.097150    0.110278    0.239474
         0.284374    0.480995    0.485834


 k=(   -0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.105505   -0.047359    0.064120    0.113990    0.246102
         0.342963    0.472600    0.473835


 k=(    0.666667    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.113788   -0.036122    0.048697    0.126521    0.260438
         0.422336    0.445171    0.458716


 k=(    0.555556    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141791   -0.012877    0.070034    0.145328    0.282338
         0.384274    0.386877    0.469621


 k=(    0.444444    0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164954    0.019223    0.097526    0.143721    0.306107
         0.333273    0.383823    0.404408


 k=(    0.333333    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184173    0.039813    0.147100    0.152355    0.287879
         0.331819    0.363324    0.403749


 k=(    0.222222    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192884    0.061210    0.130109    0.182530    0.301669
         0.331814    0.343424    0.428950


 k=(    0.111111    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190425    0.068445    0.120694    0.162155    0.293323
         0.343531    0.367199    0.388893


 k=(    0.000000    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176847    0.045023    0.121117    0.136666    0.261649
         0.321076    0.406677    0.419208


 k=(   -0.111111    0.222222    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153114    0.009247    0.094915    0.122634    0.272164
         0.310652    0.406595    0.466407


 k=(   -0.222222    0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123458   -0.029092    0.073796    0.107952    0.284146
         0.353731    0.389930    0.482812


 k=(    0.666667    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.112090   -0.040960    0.059641    0.110144    0.294606
         0.374914    0.427905    0.446673


 k=(    0.555556    0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137459   -0.009255    0.062825    0.124924    0.312878
         0.354257    0.384567    0.458718


 k=(    0.444444    0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154198    0.014942    0.094667    0.116882    0.274210
         0.310538    0.400055    0.466812


 k=(    0.333333    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177389    0.050157    0.120952    0.131627    0.259417
         0.324342    0.404276    0.416168


 k=(    0.222222    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190419    0.068308    0.120821    0.162226    0.293366
         0.343601    0.366988    0.388700


 k=(    0.111111    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192328    0.054805    0.136638    0.180968    0.304775
         0.338634    0.343311    0.424773


 k=(    0.000000    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183023    0.031759    0.148599    0.157987    0.292631
         0.335467    0.365892    0.398123


 k=(   -0.111111    0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163130    0.010042    0.097844    0.152275    0.307976
         0.341568    0.378026    0.402932


 k=(   -0.222222    0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134954   -0.016978    0.062470    0.131468    0.319248
         0.351893    0.384171    0.457563


 k=(   -0.333333    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110399   -0.043525    0.056505    0.114243    0.301356
         0.366967    0.425534    0.447141


 k=(    0.555556    0.111111    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.124659   -0.025411    0.070247    0.108238    0.291132
         0.347244    0.384765    0.481651


 k=(    0.444444    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133365   -0.014866    0.090096    0.115324    0.244656
         0.280031    0.477997    0.482593


 k=(    0.333333    0.000000    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159777    0.022183    0.117037    0.121039    0.233610
         0.280342    0.469421    0.469774


 k=(    0.222222    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176778    0.044154    0.123013    0.135868    0.261023
         0.321240    0.406709    0.420386


 k=(    0.111111    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182968    0.031328    0.149454    0.157749    0.292275
         0.333798    0.367735    0.399377


 k=(    0.000000    0.000000    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178115    0.008604    0.166629    0.175732    0.269637
         0.331314    0.341725    0.491544


 k=(   -0.111111    0.000000    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162683   -0.009542    0.124821    0.170477    0.293524
         0.337840    0.346801    0.472836


 k=(   -0.222222    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138136   -0.023823    0.071682    0.151758    0.288538
         0.384208    0.389057    0.464700


 k=(   -0.333333    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.109295   -0.044115    0.046715    0.132230    0.266722
         0.415435    0.438916    0.463376


 k=(    0.555556    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104479   -0.047959    0.058123    0.119249    0.252409
         0.337213    0.465623    0.473207


 k=(    0.444444   -0.111111    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104399   -0.048105    0.084091    0.093719    0.266397
         0.279225    0.469580    0.536137


 k=(    0.333333   -0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132729   -0.017453    0.096829    0.111275    0.240381
         0.283324    0.481175    0.486571


 k=(    0.222222   -0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152865    0.007938    0.095382    0.123557    0.271986
         0.310365    0.407913    0.466322


 k=(    0.111111   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162937    0.009100    0.097909    0.153348    0.306887
         0.342393    0.378607    0.403296


 k=(    0.000000   -0.111111    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162570   -0.009867    0.123863    0.172065    0.293887
         0.337997    0.345646    0.473876


 k=(   -0.111111   -0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152246   -0.027307    0.140467    0.148116    0.286032
         0.328672    0.362720    0.454685


 k=(   -0.222222   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133385   -0.037816    0.094804    0.136256    0.310380
         0.324328    0.406609    0.445201


 k=(   -0.333333   -0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108583   -0.047209    0.058487    0.114140    0.301113
         0.370239    0.422497    0.447633


 k=(    0.555556   -0.111111    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.083395   -0.067170    0.057490    0.097690    0.282977
         0.337792    0.448018    0.458424


 k=(    0.444444   -0.222222    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.088684   -0.061033    0.060688    0.093661    0.278242
         0.342388    0.449161    0.458042


 k=(    0.333333   -0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104363   -0.049256    0.063857    0.115020    0.247307
         0.341734    0.472433    0.474597


 k=(    0.222222   -0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122674   -0.030973    0.073576    0.109420    0.285130
         0.352538    0.391039    0.482510


 k=(    0.111111   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134411   -0.018594    0.062594    0.132594    0.320794
         0.351366    0.383891    0.457177


 k=(    0.000000   -0.222222    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.137785   -0.024605    0.071064    0.152979    0.290016
         0.382936    0.388094    0.465350


 k=(   -0.111111   -0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133214   -0.038061    0.093392    0.137983    0.309634
         0.326188    0.404725    0.445343


 k=(   -0.222222   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122824   -0.045128    0.082077    0.133679    0.271007
         0.391012    0.403928    0.430089


 k=(    0.333333    0.222222    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109667   -0.045664    0.060485    0.111616    0.297233
         0.374787    0.423395    0.448088


 k=(    0.444444    0.222222    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.095829   -0.051523    0.060923    0.082662    0.346738
         0.350135    0.374228    0.438978


 k=(    0.444444    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113798   -0.036747    0.055686    0.111721    0.296094
         0.369752    0.431889    0.446563


 k=(    0.333333    0.666667    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.112913   -0.037785    0.048356    0.127706    0.261714
         0.420651    0.443800    0.459536


 k=(    0.222222    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110824   -0.043344    0.059440    0.111560    0.295810
         0.375747    0.426169    0.446189


 k=(    0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109068   -0.045931    0.056431    0.115460    0.302661
         0.367683    0.424100    0.446359


 k=(    0.000000   -0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.108326   -0.045730    0.046400    0.133159    0.268135
         0.414053    0.437542    0.465294


 k=(   -0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108125   -0.047793    0.057406    0.115404    0.302548
         0.369340    0.422580    0.446584


 k=(    0.222222    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109580   -0.045713    0.059889    0.112240    0.297179
         0.375650    0.423878    0.446952


 k=(    0.333333    0.333333    0.666667):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.112016   -0.039462    0.048082    0.128773    0.263092
         0.418865    0.442330    0.460886


 k=(    0.444444    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113481   -0.037276    0.055159    0.112464    0.297568
         0.368012    0.430947    0.447254


 k=(    0.444444    0.555556    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137948   -0.025862    0.087824    0.136011    0.307740
         0.322522    0.399064    0.445837


 k=(    0.333333    0.555556    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141473   -0.013650    0.069227    0.146837    0.283645
         0.383206    0.385806    0.469673


 k=(    0.222222    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136978   -0.010819    0.062755    0.126258    0.314234
         0.353536    0.384705    0.458491


 k=(    0.111111    0.555556    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123985   -0.027071    0.069940    0.109631    0.292162
         0.346217    0.385761    0.481285


 k=(    0.000000    0.555556    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103528   -0.049458    0.057802    0.120028    0.253727
         0.336051    0.465992    0.473313


 k=(   -0.111111    0.555556    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.081969   -0.068693    0.056696    0.098529    0.284291
         0.336604    0.447606    0.458506


 k=(    0.222222    0.444444    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.095971   -0.051269    0.060717    0.082731    0.345462
         0.351663    0.374045    0.438830


 k=(    0.333333    0.444444    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113617   -0.037092    0.055643    0.111830    0.297708
         0.367101    0.430570    0.447921


 k=(    0.555556    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128005   -0.032871    0.073974    0.134789    0.271486
         0.385174    0.394438    0.434305


 k=(    0.444444    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149732   -0.000503    0.092026    0.129261    0.266251
         0.360339    0.396090    0.407818


 k=(    0.333333    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164808    0.018814    0.095613    0.146384    0.305534
         0.336027    0.383081    0.400937


 k=(    0.222222    0.444444    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169704    0.028586    0.084911    0.164768    0.302281
         0.366318    0.374107    0.419601


 k=(    0.111111    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164006    0.013941    0.099870    0.145729    0.310660
         0.335164    0.378561    0.405937


 k=(    0.000000    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148038   -0.006921    0.092898    0.133194    0.270733
         0.356016    0.397208    0.410330


 k=(   -0.111111    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123161   -0.028840    0.068015    0.113078    0.291177
         0.346343    0.389545    0.477969


 k=(   -0.222222    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.094307   -0.053729    0.059536    0.084838    0.343380
         0.355081    0.374331    0.437167


 k=(    0.666667    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.097470   -0.048929    0.061661    0.080857    0.347690
         0.348287    0.373449    0.440649


 k=(    0.555556    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125887   -0.022064    0.069313    0.107181    0.287586
         0.350079    0.385664    0.479192


 k=(    0.444444    0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164966    0.019476    0.096628    0.144437    0.306486
         0.334059    0.383132    0.402566


 k=(    0.333333    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184219    0.040227    0.145712    0.153207    0.288263
         0.333302    0.361515    0.402508


 k=(    0.222222    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192966    0.061926    0.130829    0.180542    0.301380
         0.333594    0.342430    0.428559


 k=(    0.111111    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190546    0.070183    0.120219    0.160521    0.293742
         0.343035    0.366536    0.389174


 k=(    0.000000    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177015    0.046835    0.119018    0.136786    0.261857
         0.321398    0.405911    0.417654


 k=(   -0.111111    0.333333    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153340    0.010430    0.094539    0.121784    0.272506
         0.310660    0.405298    0.466395


 k=(   -0.222222    0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123731   -0.028499    0.074542    0.106718    0.284370
         0.353727    0.388664    0.484177


 k=(    0.666667    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.112183   -0.040889    0.060245    0.109492    0.294664
         0.374003    0.427398    0.447929


 k=(    0.555556    0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137448   -0.009311    0.062870    0.124941    0.312818
         0.354478    0.384368    0.458581


 k=(    0.444444    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169973    0.030302    0.084740    0.163071    0.301054
         0.367741    0.373548    0.420108


 k=(    0.333333    0.222222    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.193047    0.062591    0.131789    0.178348    0.301176
         0.335912    0.340849    0.428281


 k=(    0.222222    0.222222    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205870    0.086461    0.177001    0.181749    0.279018
         0.328029    0.332508    0.438876


 k=(    0.111111    0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207409    0.108006    0.160523    0.168109    0.285369
         0.332392    0.359311    0.385707


 k=(    0.000000    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197525    0.094416    0.142238    0.149381    0.254361
         0.336380    0.397164    0.398120


 k=(   -0.111111    0.222222    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176849    0.044455    0.128862    0.130134    0.257940
         0.323684    0.407121    0.421692


 k=(   -0.222222    0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148066   -0.007987    0.101580    0.126259    0.263204
         0.362270    0.397650    0.416522


 k=(   -0.333333    0.222222    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.125303   -0.040034    0.081577    0.131545    0.268441
         0.389923    0.403422    0.432844


 k=(    0.555556    0.222222    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.140640   -0.017235    0.073521    0.144831    0.282209
         0.386923    0.391653    0.466432


 k=(    0.444444    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164364    0.015746    0.099891    0.144000    0.310256
         0.333456    0.379711    0.406287


 k=(    0.333333    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190662    0.071768    0.120079    0.158743    0.294273
         0.342522    0.365721    0.389313


 k=(    0.222222    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207432    0.108615    0.161575    0.166256    0.285662
         0.333162    0.358179    0.385018


 k=(    0.111111    0.111111    0.222222):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213043    0.121784    0.157146    0.195707    0.312774
         0.317129    0.322974    0.399145


 k=(    0.000000    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207136    0.100939    0.165595    0.170637    0.287360
         0.334453    0.358971    0.384559


 k=(   -0.111111    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190060    0.064034    0.120845    0.167630    0.291979
         0.343828    0.370072    0.388810


 k=(   -0.222222    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163481    0.011448    0.098809    0.150328    0.303953
         0.338473    0.382773    0.408167


 k=(   -0.333333    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135115   -0.033524    0.092176    0.136540    0.307377
         0.324838    0.404002    0.447931


 k=(    0.555556    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135828   -0.031835    0.092954    0.134153    0.312526
         0.320116    0.404984    0.441955


 k=(    0.444444    0.000000    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148461   -0.005369    0.092563    0.132447    0.269485
         0.357157    0.396462    0.410172


 k=(    0.333333    0.000000    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177115    0.047734    0.118891    0.136062    0.261448
         0.321909    0.405098    0.417353


 k=(    0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197518    0.094043    0.143555    0.148530    0.254437
         0.336156    0.397228    0.397871


 k=(    0.111111    0.000000    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207107    0.100180    0.165162    0.172169    0.287121
         0.333554    0.359990    0.384991


 k=(    0.000000    0.000000    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205252    0.077742    0.179183    0.188601    0.283565
         0.328418    0.336848    0.435088


 k=(   -0.111111    0.000000    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192075    0.052984    0.133767    0.187444    0.305131
         0.332348    0.347760    0.425545


 k=(   -0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168603    0.022149    0.085418    0.171324    0.306959
         0.361221    0.376654    0.417547


 k=(   -0.333333    0.000000    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138984   -0.020978    0.069508    0.152122    0.288610
         0.381218    0.386885    0.467507


 k=(    0.555556    0.000000    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124753   -0.040089    0.074716    0.138137    0.274946
         0.386089    0.395848    0.430784


 k=(    0.444444   -0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123567   -0.027820    0.067694    0.112882    0.289856
         0.347367    0.389882    0.476986


 k=(    0.333333   -0.111111    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153316    0.010254    0.094749    0.121786    0.272672
         0.310392    0.405347    0.466203


 k=(    0.222222   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176724    0.043271    0.128821    0.131434    0.258504
         0.322792    0.407563    0.422292


 k=(    0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189931    0.062400    0.121385    0.169152    0.291682
         0.343831    0.370943    0.388690


 k=(    0.000000   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.191988    0.052294    0.133235    0.189232    0.305470
         0.330636    0.348713    0.425962


 k=(   -0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182815    0.030216    0.151201    0.157566    0.291169
         0.330132    0.371984    0.403299


 k=(   -0.222222   -0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163041    0.009011    0.100947    0.149999    0.306635
         0.338017    0.380636    0.410278


 k=(   -0.333333   -0.111111    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134922   -0.017114    0.062569    0.131518    0.319007
         0.352541    0.383699    0.457112


 k=(   -0.444444   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109867   -0.044125    0.054571    0.116628    0.300793
         0.370371    0.427443    0.444635


 k=(    0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.094148   -0.053997    0.059720    0.084788    0.343905
         0.354258    0.374566    0.437306


 k=(    0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123225   -0.029806    0.075069    0.106977    0.285592
         0.352506    0.388550    0.485129


 k=(    0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147595   -0.009678    0.101760    0.127355    0.264368
         0.360929    0.398096    0.417170


 k=(    0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163096    0.009572    0.099092    0.151842    0.304560
         0.339874    0.381626    0.407855


 k=(    0.000000   -0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168318    0.020508    0.085752    0.172720    0.308432
         0.359666    0.377538    0.416946


 k=(   -0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162875    0.008380    0.100134    0.151661    0.305940
         0.339617    0.380580    0.408913


 k=(   -0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147123   -0.011326    0.102044    0.128258    0.265620
         0.359573    0.398734    0.417604


 k=(   -0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122445   -0.031656    0.074832    0.108409    0.286660
         0.351268    0.389671    0.484812


 k=(   -0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.093151   -0.055462    0.059530    0.085498    0.344610
         0.353929    0.375026    0.436425


 k=(    0.444444    0.666667    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.096615   -0.050306    0.061324    0.081786    0.347245
         0.349107    0.373877    0.439890


 k=(    0.333333    0.666667    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.111003   -0.043223    0.060638    0.110286    0.295923
         0.373970    0.425179    0.448588


 k=(   -0.222222    0.333333   -0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124092   -0.042565    0.081789    0.132688    0.269671
         0.390342    0.403805    0.431503


 k=(    0.111111   -0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134096   -0.035913    0.092091    0.138144    0.308086
         0.326456    0.403414    0.446731


 k=(    0.000000   -0.333333    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138217   -0.023189    0.069994    0.153165    0.290051
         0.381402    0.387016    0.466879


 k=(   -0.111111   -0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134398   -0.018644    0.062630    0.132613    0.320691
         0.351619    0.383719    0.457000


 k=(   -0.222222   -0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122166   -0.032230    0.074085    0.109618    0.286422
         0.351297    0.390894    0.483560


 k=(   -0.333333   -0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103189   -0.051145    0.063630    0.115932    0.248598
         0.340468    0.473305    0.474329


 k=(   -0.444444   -0.333333    0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.087419   -0.062590    0.060015    0.094615    0.279535
         0.341077    0.448522    0.458583


 k=(    0.444444    0.555556    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125619   -0.022709    0.068680    0.108387    0.287291
         0.350084    0.386988    0.477856


 k=(    0.333333    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136947   -0.010966    0.062871    0.126303    0.314061
         0.354132    0.384188    0.458110


 k=(    0.222222    0.555556    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139908   -0.019434    0.073813    0.146161    0.283477
         0.387349    0.391636    0.465166


 k=(    0.111111    0.555556    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134851   -0.034167    0.092737    0.135862    0.312800
         0.322186    0.404465    0.440685


 k=(    0.000000    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.123573   -0.042555    0.075107    0.138980    0.276311
         0.386926    0.395738    0.429469


 k=(    0.111111    0.444444   -0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108672   -0.046350    0.054975    0.117220    0.302238
         0.370166    0.425578    0.444579


 k=(    0.222222    0.444444   -0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.092245   -0.056730    0.059156    0.086266    0.344654
         0.354550    0.375235    0.435431


 k=(    0.333333    0.444444   -0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.087520   -0.062451    0.059967    0.094615    0.279546
         0.341111    0.447989    0.458976


 k=(    0.555556    0.555556    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107273   -0.043338    0.059306    0.116251    0.248979
         0.340439    0.465700    0.471688


 k=(    0.444444    0.444444    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133965   -0.013123    0.091689    0.112436    0.242313
         0.282553    0.478357    0.479609


 k=(    0.333333    0.444444    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153962    0.013578    0.095020    0.117984    0.273928
         0.310355    0.401439    0.466415


 k=(    0.222222    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163954    0.013318    0.101748    0.144422    0.309846
         0.333670    0.379817    0.409434


 k=(    0.111111    0.444444    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163557   -0.006657    0.128474    0.163340    0.291734
         0.336920    0.349308    0.472868


 k=(    0.000000    0.444444    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153234   -0.024248    0.131539    0.154970    0.287247
         0.333237    0.353593    0.450162


 k=(   -0.111111    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134345   -0.034884    0.088553    0.141139    0.309753
         0.328291    0.399158    0.441074


 k=(   -0.222222    0.444444    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109392   -0.045285    0.055939    0.115931    0.299234
         0.373711    0.426716    0.444049


 k=(    0.666667    0.444444    0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.085013   -0.065335    0.058133    0.096859    0.281647
         0.339114    0.447590    0.458852


 k=(    0.555556    0.444444    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105867   -0.045473    0.085103    0.091185    0.267915
         0.278179    0.465172    0.535563


 k=(    0.444444    0.333333    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154184    0.014826    0.094831    0.116855    0.274321
         0.310367    0.400080    0.466706


 k=(    0.333333    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177438    0.050847    0.119082    0.132673    0.260201
         0.323817    0.404234    0.414963


 k=(    0.222222    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190538    0.069950    0.120442    0.160627    0.293815
         0.343155    0.366183    0.388870


 k=(    0.111111    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192524    0.056711    0.136148    0.179342    0.303750
         0.338630    0.342818    0.425291


 k=(    0.000000    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183308    0.033764    0.146475    0.158205    0.291892
         0.336170    0.363793    0.398015


 k=(   -0.111111    0.333333    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163525    0.012148    0.096724    0.151477    0.307621
         0.340979    0.378533    0.401416


 k=(   -0.222222    0.333333    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135475   -0.015393    0.062341    0.130388    0.317514
         0.352834    0.384151    0.457789


 k=(   -0.333333    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110837   -0.042924    0.057547    0.112982    0.299870
         0.367882    0.425662    0.447995


 k=(    0.555556    0.333333    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.124654   -0.025679    0.071768    0.106996    0.289837
         0.348725    0.384478    0.483080


 k=(    0.444444    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164341    0.015434    0.100861    0.143312    0.309843
         0.332722    0.380353    0.408036


 k=(    0.333333    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190659    0.071675    0.120171    0.158780    0.294302
         0.342570    0.365583    0.389200


 k=(    0.222222    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207456    0.109357    0.162559    0.164315    0.285927
         0.334092    0.356952    0.384361


 k=(    0.111111    0.222222    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213097    0.123805    0.156560    0.193645    0.312082
         0.318933    0.321866    0.399000


 k=(    0.000000    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207222    0.103162    0.163583    0.170046    0.287202
         0.335035    0.357772    0.384134


 k=(   -0.111111    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190184    0.065645    0.120280    0.166232    0.292308
         0.343714    0.369133    0.388843


 k=(   -0.222222    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163645    0.012108    0.099590    0.148670    0.304609
         0.336847    0.382892    0.409575


 k=(   -0.333333    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135279   -0.033279    0.093603    0.134790    0.308053
         0.323021    0.405955    0.447795


 k=(    0.555556    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135840   -0.031964    0.094409    0.132726    0.312952
         0.318483    0.406823    0.442854


 k=(    0.444444    0.111111    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.164094   -0.004657    0.128359    0.161826    0.290866
         0.335936    0.349020    0.473621


 k=(    0.333333    0.111111    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192717    0.058621    0.135848    0.177478    0.302885
         0.339512    0.341355    0.425857


 k=(    0.222222    0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213150    0.125776    0.156343    0.191246    0.312132
         0.320051    0.320758    0.398808


 k=(    0.111111    0.111111    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222684    0.162995    0.191033    0.196226    0.293749
         0.311784    0.315371    0.365316


 k=(    0.000000    0.111111    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220647    0.163577    0.176761    0.187264    0.283109
         0.331963    0.335725    0.356947


 k=(   -0.111111    0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207152    0.101569    0.159982    0.176470    0.285395
         0.330992    0.362783    0.386983


 k=(   -0.222222    0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183293    0.033440    0.148897    0.157035    0.288995
         0.328882    0.371070    0.405582


 k=(   -0.333333    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153673   -0.023237    0.140149    0.145904    0.283969
         0.326670    0.361999    0.457095


 k=(    0.555556    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140535   -0.042905    0.130210    0.150430    0.283956
         0.328007    0.353076    0.504344


 k=(    0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153920   -0.022244    0.131002    0.154288    0.286264
         0.331695    0.353685    0.451364


 k=(    0.333333    0.000000    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183537    0.035342    0.145587    0.157767    0.290886
         0.335100    0.363611    0.399129


 k=(    0.222222    0.000000    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207280    0.104601    0.162303    0.169819    0.286859
         0.334656    0.357645    0.384141


 k=(    0.111111    0.000000    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220645    0.162490    0.178784    0.186434    0.283068
         0.332584    0.334987    0.356888


 k=(    0.000000    0.000000    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222551    0.152073    0.194847    0.205397    0.299404
         0.308613    0.314664    0.362755


 k=(   -0.111111    0.000000    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212880    0.117065    0.156861    0.202952    0.309998
         0.317426    0.325257    0.399502


 k=(   -0.222222    0.000000    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192301    0.055435    0.131287    0.188138    0.303768
         0.329556    0.347911    0.427258


 k=(   -0.333333    0.000000    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163563   -0.006151    0.121909    0.171490    0.292382
         0.335051    0.345054    0.474844


 k=(   -0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140251   -0.043219    0.122420    0.159331    0.286068
         0.331801    0.344748    0.503679


 k=(    0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135163   -0.032796    0.087321    0.141263    0.308397
         0.328378    0.397786    0.442426


 k=(    0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163726    0.013297    0.095722    0.151699    0.306275
         0.341232    0.379627    0.400137


 k=(    0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190179    0.065519    0.120390    0.166310    0.292347
         0.343768    0.368943    0.388644


 k=(    0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207089    0.099978    0.161277    0.176985    0.285788
         0.331220    0.362818    0.386721


 k=(    0.000000   -0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212824    0.115324    0.157466    0.204799    0.310055
         0.316443    0.326205    0.399525


 k=(   -0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207027    0.098482    0.162649    0.177280    0.286204
         0.331526    0.362826    0.386492


 k=(   -0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190052    0.063844    0.121006    0.167761    0.292036
         0.343910    0.369781    0.388486


 k=(   -0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163539    0.012325    0.095851    0.152730    0.305216
         0.342108    0.380197    0.400434


 k=(   -0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135010   -0.033171    0.087299    0.141636    0.307707
         0.329003    0.397654    0.443481


 k=(   -0.444444    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110215   -0.043593    0.055035    0.115994    0.299269
         0.372170    0.428160    0.444184


 k=(   -0.333333    0.222222   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135455   -0.015480    0.062405    0.130419    0.317380
         0.353226    0.383847    0.457520


 k=(   -0.222222    0.222222   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163424    0.010862    0.100688    0.148522    0.305908
         0.336650    0.381801    0.410628


 k=(   -0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183054    0.031810    0.149800    0.157595    0.290040
         0.329433    0.371613    0.404440


 k=(    0.000000    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192102    0.053495    0.132021    0.189594    0.304755
         0.329219    0.348818    0.426846


 k=(    0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189928    0.062332    0.121440    0.169203    0.291702
         0.343860    0.370838    0.388566


 k=(    0.222222    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176604    0.042167    0.129303    0.132093    0.259076
         0.321956    0.408197    0.422721


 k=(   -0.333333   -0.222222    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153076    0.008973    0.095233    0.122648    0.272424
         0.310229    0.406675    0.466093


 k=(   -0.444444   -0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123287   -0.028681    0.068471    0.112873    0.288353
         0.348807    0.390904    0.477040


 k=(    0.555556    0.333333   -0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.084880   -0.065505    0.058179    0.096862    0.281635
         0.339082    0.448096    0.458487


 k=(   -0.333333    0.333333   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109963   -0.044749    0.058555    0.112935    0.299741
         0.369494    0.424132    0.448280


 k=(   -0.222222    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134430   -0.035422    0.094931    0.134666    0.309496
         0.322790    0.407252    0.446450


 k=(   -0.111111    0.333333   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152967   -0.025275    0.139960    0.147397    0.284959
         0.327547    0.362488    0.455916


 k=(    0.000000    0.333333   -0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163015   -0.008179    0.122420    0.172588    0.293285
         0.336249    0.345126    0.474881


 k=(    0.111111    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163145    0.010234    0.096918    0.153579    0.305477
         0.342680    0.379673    0.402086


 k=(    0.222222    0.333333   -0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152850    0.007838    0.095495    0.123567    0.272081
         0.310209    0.407944    0.466201


 k=(    0.333333    0.333333   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132475   -0.018217    0.096542    0.112137    0.241322
         0.282290    0.481735    0.486956


 k=(    0.444444    0.333333   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103905   -0.048994    0.084494    0.093828    0.266425
         0.279049    0.470734    0.536280


 k=(    0.444444    0.555556    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105474   -0.046201    0.085104    0.091618    0.267608
         0.278354    0.466346    0.535785


 k=(    0.333333    0.555556    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123954   -0.027655    0.072988    0.107177    0.289631
         0.348997    0.385295    0.484149


 k=(    0.222222    0.555556    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134868   -0.034429    0.095587    0.133071    0.313379
         0.319206    0.408009    0.442586


 k=(    0.111111    0.555556    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139371   -0.045422    0.130208    0.151791    0.284869
         0.328972    0.353441    0.505317


 k=(    0.000000    0.444444   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139081   -0.045742    0.122862    0.160195    0.286992
         0.333682    0.344232    0.504561


 k=(    0.111111    0.444444   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134026   -0.035638    0.088490    0.141900    0.308331
         0.329566    0.398835    0.443288


 k=(    0.222222    0.444444   -0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122575   -0.030590    0.069571    0.113063    0.288208
         0.349088    0.391632    0.478199


 k=(    0.333333    0.444444   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103504   -0.049690    0.084495    0.094206    0.266139
         0.279235    0.471804    0.536222


 k=(    0.444444    0.444444   -0.111111):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.082576   -0.073238    0.084195    0.105421    0.236024
         0.268058    0.540735    0.551822


 k=(    0.444444    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.108811   -0.046953    0.104085    0.106164    0.228714
         0.243582    0.544760    0.544922


 k=(    0.333333    0.444444    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132949   -0.016432    0.092452    0.114499    0.243349
         0.280855    0.478920    0.485051


 k=(    0.222222    0.444444    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147834   -0.008180    0.096196    0.131337    0.267955
         0.358389    0.396533    0.413803


 k=(    0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153118   -0.024694    0.134005    0.152936    0.286286
         0.330061    0.358104    0.452365


 k=(    0.000000    0.444444    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.149636   -0.040270    0.158548    0.169602    0.261338
         0.324298    0.337392    0.491002


 k=(   -0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139196   -0.045612    0.125175    0.157520    0.286062
         0.330572    0.349195    0.504764


 k=(    0.222222    0.555556    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.123754   -0.042612    0.077516    0.136862    0.273348
         0.388057    0.399761    0.429887


 k=(    0.333333    0.555556    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103731   -0.049622    0.060126    0.118356    0.250897
         0.338497    0.468006    0.474283


 k=(    0.555556    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.079707   -0.076170    0.082127    0.107525    0.238142
         0.266012    0.539618    0.551498


 k=(    0.444444    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133251   -0.015394    0.091473    0.114557    0.243553
         0.280892    0.477959    0.483860


 k=(    0.333333    0.333333    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159763    0.022047    0.117957    0.120293    0.233696
         0.280191    0.469387    0.469711


 k=(    0.222222    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176884    0.045093    0.122741    0.135240    0.260543
         0.321852    0.405856    0.420129


 k=(    0.111111    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183200    0.032890    0.148150    0.157764    0.291171
         0.332786    0.367583    0.400500


 k=(    0.000000    0.333333    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178492    0.010371    0.165020    0.176112    0.268754
         0.329258    0.341963    0.491053


 k=(   -0.111111    0.333333    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163237   -0.007526    0.124298    0.169449    0.292537
         0.336007    0.347386    0.472820


 k=(   -0.222222    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138909   -0.021608    0.071192    0.150741    0.287038
         0.383657    0.389294    0.465445


 k=(   -0.333333    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.110247   -0.042467    0.046973    0.131318    0.265263
         0.417050    0.440397    0.461407


 k=(    0.555556    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104602   -0.047998    0.059255    0.118421    0.250973
         0.338477    0.466573    0.473703


 k=(    0.444444    0.222222    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148365   -0.005998    0.094201    0.131532    0.268073
         0.358455    0.395997    0.411946


 k=(    0.333333    0.222222    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177052    0.046863    0.120729    0.135302    0.260759
         0.322201    0.405010    0.418650


 k=(    0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197514    0.093823    0.144641    0.147719    0.254482
         0.336022    0.397380    0.397607


 k=(    0.111111    0.222222    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207165    0.101583    0.163557    0.172294    0.286732
         0.333155    0.359928    0.385068


 k=(    0.000000    0.222222    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205377    0.079451    0.177335    0.188797    0.282515
         0.326951    0.337397    0.435840


 k=(   -0.111111    0.222222    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192275    0.054911    0.133023    0.186056    0.304041
         0.332471    0.347134    0.425966


 k=(   -0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168886    0.023848    0.085018    0.169954    0.305409
         0.362896    0.375768    0.418153


 k=(   -0.333333    0.222222    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139324   -0.020177    0.070088    0.150920    0.287076
         0.382231    0.388168    0.466730


 k=(    0.555556    0.222222    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124846   -0.040113    0.075910    0.137088    0.273441
         0.386684    0.397892    0.430942


 k=(    0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153865   -0.022466    0.132202    0.153303    0.285776
         0.330090    0.355980    0.452443


 k=(    0.333333    0.111111    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183484    0.034899    0.146450    0.157521    0.290522
         0.333384    0.365559    0.400359


 k=(    0.222222    0.111111    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207252    0.103778    0.162515    0.170733    0.286627
         0.333671    0.358784    0.384644


 k=(    0.111111    0.111111    0.000000):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220645    0.161928    0.180116    0.185729    0.283044
         0.333357    0.334143    0.356853


 k=(    0.000000    0.111111    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222578    0.154112    0.192584    0.205309    0.297998
         0.308243    0.316002    0.363265


 k=(   -0.111111    0.111111    0.000000):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212935    0.118959    0.156049    0.201202    0.309630
         0.318889    0.324116    0.399460


 k=(   -0.222222    0.111111    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192387    0.056162    0.131758    0.186388    0.303394
         0.331112    0.347160    0.426794


 k=(   -0.333333    0.111111    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163673   -0.005822    0.122831    0.169937    0.291997
         0.334878    0.346244    0.473820


 k=(   -0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140307   -0.043155    0.123553    0.158017    0.285594
         0.330264    0.347224    0.503743


 k=(   -0.444444    0.000000    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.150595   -0.037986    0.157588    0.169434    0.260580
         0.323069    0.336767    0.490123


 k=(   -0.333333    0.000000    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178866    0.012149    0.163959    0.175861    0.267931
         0.328054    0.341367    0.491123


 k=(   -0.222222    0.000000    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205502    0.081188    0.176028    0.188365    0.281542
         0.326170    0.337250    0.436589


 k=(   -0.111111    0.000000    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222604    0.156268    0.190780    0.204597    0.296719
         0.308458    0.316681    0.363765


 k=(    0.000000    0.000000    0.000000):       259 3-d basis functions
 the   8 eigenvalues are:
        -0.228429    0.198311    0.203902    0.215994    0.293994
         0.300756    0.304268    0.321011


 fermi energy and band-weighting factors:

FERMIE:
          first approx. to ef    (T=0)  :  0.215994 htr   (energy of the highest occ. eigenvalue)
          number of occ. states  (T=0)  :      1460
          first approx. to seigv (T=0)  :  0.176446 htr
          sum of weights of occ. states :  4.000000
          sum of semicore eigenvalues   :  0.000000 htr
          sum of semicore charge        :  0.000000 e



FERHIS:  Fermi-Energy by histogram:

          bandgap                     :   0.012007 htr
          charge neutrality (T=0)     :   0.000000    (zero if the highest occ. eigenvalue is "entirely" occupied)

     EF_NEWTON:  Adjust Fermi-Energy by Newton-Method.

               Number of iterations needed  :   4
               The error in the weight is   :  0.81922E-14
               The error in ef is           : -0.58844E-12 htr


     -->  new fermi energy            :   0.221269 htr
          valence charge              :   8.000000 e 
          actual charge blw ef-8kt    :   7.997257 e 
          actual charge blw ef+8kt    :   8.000000 e 
          number of occ. states       :      1463
          sum of the valence weights  :   4.000000
          entropy         :   0.000200 *kb htr/K =   0.00000 htr/K

          sum of val. single particle energies:         0.1764462828 htr



          valence density: spin= 1

     l-like charge
     atom     s        p        d        f        total
 --> 1    0.89050  1.17094  0.08212  0.00603    2.15119
 --> 2    0.89050  1.17094  0.08212  0.00603    2.15119
 Energy Parameters for spin:           1
 Max. mismatch of energy parameters:    0.000000

     energy parameters for window 1
     atom     s        p        d        f
 -->  1   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0
 -->  2   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0

          total charge for spin  1=    8.000000
          interst. charge =       3.697628
          mt charge=              2.151186    2.151186

          total charge  =    8.000000


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.2037        2.
               2.   0.   0.5   -4.7107        2.
               2.   1.   0.5   -3.1110        2.
               2.   1.   1.5   -3.0872        4.
          atom type  1  (spin 1) 
          kinetic energy=  0.285372365583E+03     sum of the eigenvalues= -0.158399795213E+03
          0.00178912  electrons lost from core.


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.2037        2.
               2.   0.   0.5   -4.7107        2.
               2.   1.   0.5   -3.1110        2.
               2.   1.   1.5   -3.0872        4.
          atom type  2  (spin 1) 
          kinetic energy=  0.285372365595E+03     sum of the eigenvalues= -0.158399795277E+03
          0.00178912  electrons lost from core.

          alpha=   1.39394     acoff=   0.09674

          alpha=   1.39394     acoff=   0.09674

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*



     t o t a l  e n e r g y

          sum of eigenvalues =              -316.6231442068

          density-coulomb potential int     -844.4026101127

          density-effective potential i     -898.3127842154

          charge density-ex.-corr.energ      -41.7445141061
 
 FORCES: EQUATION A3 FOR ATOM TYPE   1
 FX_A3= -0.013532  0.000000 FY_A3= -0.008921  0.000000 FZ_A3= -0.004206  0.000000
 FORCES: EQUATION A3 FOR ATOM TYPE   2
 FX_A3=  0.013532  0.000000 FY_A3=  0.008921  0.000000 FZ_A3=  0.004206  0.000000

          el.-nucl. inter. diff. m.t.        342.2718666285

          Madelung term for atom type:        -6.6358159857

          el.-nucl. inter. diff. m.t.        342.2718665508

          Madelung term for atom type:        -6.6358160151


 ----> total energy=                        -580.0715443340 htr

 ***** TOTAL FORCES ON ATOMS ***** 

 TOTAL FORCE FOR ATOM TYPE=  1  X=  1.292   Y=  1.292   Z=  1.292
                       FX_TOT=-0.013532 FY_TOT=-0.008921 FZ_TOT=-0.004206
 TOTAL FORCE FOR ATOM TYPE=  2  X= -1.369   Y= -1.344   Z= -1.318
                       FX_TOT= 0.013532 FY_TOT= 0.008921 FZ_TOT= 0.004206
eps_force= 0.00001max= 0.00000


 ---->(tkb*entropy) TS=                        0.0000001998 htr


 ----> free energy=                         -580.0715445337 htr


      extrapolation for T->0
 ----> total electron energy=               -580.0715444338 htr
 wrtdop title:alpha Si                                                                ordered*
 wrtdop title:alpha Si                                                                ordered*
     <vi|w|Fm> for it 2       0.000000
     <vi|w|Fm> for it 3       0.000001
     <vi|w|Fm> for it 4       0.000000
     <vi|w|Fm> for it 5       0.000002
     <vi|w|Fm> for it 6      -0.000006
     <vi|w|Fm> for it 7       0.000004
     <vi|w|Fm> for it 8      -0.000075
     <vi|w|Fm> for it 9      -0.000006
     <vi|w|Fm> for it10       0.002415
     <vi|w|Fm> for it11      -0.009547
     <vi|w|Fm> for it12      -0.013134
     <vi|w|Fm> for it13       0.001923
     <vi|w|Fm> for it14      -0.022208
     <vi|w|Fm> for it15       0.140871
     <vi|w|Fm> for it16      -0.042742
     <vi|w|Fm> for it17       9.358893

----> distance of charge densities for spin  1        it= 18:   0.000000 me/bohr**3

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*

     ******* it= 18  is completed********



             it=       19

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*


          p o t e n t i a l   g e n e r a t o r


          multipole moments for atom type=    1

  l   m                   original                      plane wave
  0   0          -0.52203E+00    0.00000E+00         0.77848E+00   -0.20414E-14
  1   0           0.16734E-02    0.00000E+00         0.14127E-02   -0.13161E-14
  1   1          -0.49363E-02    0.31538E-02        -0.40563E-02    0.25988E-02
  1  -1           0.49363E-02    0.31538E-02         0.40563E-02    0.25988E-02
  1   1          -0.49363E-02    0.31538E-02        -0.40563E-02    0.25988E-02
  1  -1           0.49363E-02    0.31538E-02         0.40563E-02    0.25988E-02
  2   0           0.52203E-03    0.00000E+00         0.49875E-03    0.86126E-18
  2   1           0.12346E-01   -0.18690E-01         0.11743E-01   -0.17751E-01
  2  -1          -0.12346E-01   -0.18690E-01        -0.11743E-01   -0.17751E-01
  2   2          -0.29032E-03    0.58685E-02        -0.27746E-03    0.56344E-02
  2  -2          -0.29032E-03   -0.58685E-02        -0.27746E-03   -0.56344E-02
  2   1           0.12346E-01   -0.18690E-01         0.11743E-01   -0.17751E-01
  2  -1          -0.12346E-01   -0.18690E-01        -0.11743E-01   -0.17751E-01
  2   2          -0.29032E-03    0.58685E-02        -0.27746E-03    0.56344E-02
  2  -2          -0.29032E-03   -0.58685E-02        -0.27746E-03   -0.56344E-02
  3   0          -0.84953E-02    0.00000E+00        -0.82483E-02   -0.13860E-14
  3   1          -0.10736E-01    0.72030E-02        -0.10356E-01    0.69547E-02
  3  -1           0.10736E-01    0.72030E-02         0.10356E-01    0.69547E-02
  3   2          -0.55444E-05    0.46967E+00        -0.47340E-05    0.46256E+00
  3  -2          -0.55444E-05   -0.46967E+00        -0.47340E-05   -0.46256E+00
  3   3           0.13842E-01    0.92682E-02         0.13355E-01    0.89520E-02
  3  -3          -0.13842E-01    0.92682E-02        -0.13355E-01    0.89520E-02
  3   1          -0.10736E-01    0.72030E-02        -0.10356E-01    0.69547E-02
  3  -1           0.10736E-01    0.72030E-02         0.10356E-01    0.69547E-02
  3   2          -0.55444E-05    0.46967E+00        -0.47340E-05    0.46256E+00
  3  -2          -0.55444E-05   -0.46967E+00        -0.47340E-05   -0.46256E+00
  3   3           0.13842E-01    0.92682E-02         0.13355E-01    0.89520E-02
  3  -3          -0.13842E-01    0.92682E-02        -0.13355E-01    0.89520E-02
  4   0          -0.27309E+00    0.00000E+00        -0.26912E+00    0.10226E-14
  4   1           0.34670E-03   -0.37978E-03         0.41295E-03   -0.48739E-03
  4  -1          -0.34670E-03   -0.37978E-03        -0.41295E-03   -0.48739E-03
  4   2          -0.31491E-03   -0.10924E-02        -0.30581E-03   -0.11522E-02
  4  -2          -0.31491E-03    0.10924E-02        -0.30581E-03    0.11522E-02
  4   3           0.83823E-03    0.95989E-03         0.10181E-02    0.12472E-02
  4  -3          -0.83823E-03    0.95989E-03        -0.10181E-02    0.12472E-02
  4   4          -0.16268E+00   -0.84935E-05        -0.16032E+00   -0.79850E-05
  4  -4          -0.16268E+00    0.84935E-05        -0.16032E+00    0.79850E-05
  4   1           0.34670E-03   -0.37978E-03         0.41295E-03   -0.48739E-03
  4  -1          -0.34670E-03   -0.37978E-03        -0.41295E-03   -0.48739E-03
  4   2          -0.31491E-03   -0.10924E-02        -0.30581E-03   -0.11522E-02
  4  -2          -0.31491E-03    0.10924E-02        -0.30581E-03    0.11522E-02
  4   3           0.83823E-03    0.95989E-03         0.10181E-02    0.12472E-02
  4  -3          -0.83823E-03    0.95989E-03        -0.10181E-02    0.12472E-02
  4   4          -0.16268E+00   -0.84935E-05        -0.16032E+00   -0.79850E-05
  4  -4          -0.16268E+00    0.84935E-05        -0.16032E+00    0.79850E-05
  5   0           0.53228E-02    0.00000E+00         0.52640E-02   -0.56637E-15
  5   1           0.43744E-02   -0.27155E-02         0.42149E-02   -0.26121E-02
  5  -1          -0.43744E-02   -0.27155E-02        -0.42149E-02   -0.26121E-02
  5   2           0.77404E-05    0.61510E-03         0.76072E-05    0.60126E-03
  5  -2           0.77404E-05   -0.61510E-03         0.76072E-05   -0.60126E-03
  5   3           0.17820E-01    0.11793E-01         0.17488E-01    0.11572E-01
  5  -3          -0.17820E-01    0.11793E-01        -0.17488E-01    0.11572E-01
  5   4          -0.46735E-02   -0.48302E-03        -0.45591E-02   -0.47202E-03
  5  -4          -0.46735E-02    0.48302E-03        -0.45591E-02    0.47202E-03
  5   5          -0.37256E-02    0.26169E-02        -0.37317E-02    0.26183E-02
  5  -5           0.37256E-02    0.26169E-02         0.37317E-02    0.26183E-02
  5   1           0.43744E-02   -0.27155E-02         0.42149E-02   -0.26121E-02
  5  -1          -0.43744E-02   -0.27155E-02        -0.42149E-02   -0.26121E-02
  5   2           0.77404E-05    0.61510E-03         0.76072E-05    0.60126E-03
  5  -2           0.77404E-05   -0.61510E-03         0.76072E-05   -0.60126E-03
  5   3           0.17820E-01    0.11793E-01         0.17488E-01    0.11572E-01
  5  -3          -0.17820E-01    0.11793E-01        -0.17488E-01    0.11572E-01
  5   4          -0.46735E-02   -0.48302E-03        -0.45591E-02   -0.47202E-03
  5  -4          -0.46735E-02    0.48302E-03        -0.45591E-02    0.47202E-03
  5   5          -0.37256E-02    0.26169E-02        -0.37317E-02    0.26183E-02
  5  -5           0.37256E-02    0.26169E-02         0.37317E-02    0.26183E-02
  6   0           0.10281E+00    0.00000E+00         0.10175E+00    0.11922E-14
  6   1          -0.64039E-02    0.97175E-02        -0.63488E-02    0.96355E-02
  6  -1           0.64039E-02    0.97175E-02         0.63488E-02    0.96355E-02
  6   2           0.11842E-03   -0.60791E-02         0.11734E-03   -0.60171E-02
  6  -2           0.11842E-03    0.60791E-02         0.11734E-03    0.60171E-02
  6   3          -0.42897E-02   -0.62277E-02        -0.42488E-02   -0.61690E-02
  6  -3           0.42897E-02   -0.62277E-02         0.42488E-02   -0.61690E-02
  6   4          -0.19311E+00   -0.54792E-05        -0.19113E+00   -0.55819E-05
  6  -4          -0.19311E+00    0.54792E-05        -0.19113E+00    0.55819E-05
  6   5          -0.97093E-02    0.14433E-01        -0.96202E-02    0.14304E-01
  6  -5           0.97093E-02    0.14433E-01         0.96202E-02    0.14304E-01
  6   6           0.17606E-03   -0.20776E-02         0.17447E-03   -0.20575E-02
  6  -6           0.17606E-03    0.20776E-02         0.17447E-03    0.20575E-02
  6   1          -0.64039E-02    0.97175E-02        -0.63488E-02    0.96355E-02
  6  -1           0.64039E-02    0.97175E-02         0.63488E-02    0.96355E-02
  6   2           0.11842E-03   -0.60791E-02         0.11734E-03   -0.60171E-02
  6  -2           0.11842E-03    0.60791E-02         0.11734E-03    0.60171E-02
  6   3          -0.42897E-02   -0.62277E-02        -0.42488E-02   -0.61690E-02
  6  -3           0.42897E-02   -0.62277E-02         0.42488E-02   -0.61690E-02
  6   4          -0.19311E+00   -0.54792E-05        -0.19113E+00   -0.55819E-05
  6  -4          -0.19311E+00    0.54792E-05        -0.19113E+00    0.55819E-05
  6   5          -0.97093E-02    0.14433E-01        -0.96202E-02    0.14304E-01
  6  -5           0.97093E-02    0.14433E-01         0.96202E-02    0.14304E-01
  6   6           0.17606E-03   -0.20776E-02         0.17447E-03   -0.20575E-02
  6  -6           0.17606E-03    0.20776E-02         0.17447E-03    0.20575E-02
  7   0           0.24636E-02    0.00000E+00         0.24471E-02    0.49550E-14
  7   1           0.51584E-02   -0.35463E-02         0.51444E-02   -0.35370E-02
  7  -1          -0.51584E-02   -0.35463E-02        -0.51444E-02   -0.35370E-02
  7   2           0.24198E-05   -0.12873E+00         0.24105E-05   -0.12878E+00
  7  -2           0.24198E-05    0.12873E+00         0.24105E-05    0.12878E+00
  7   3          -0.12548E-02   -0.85873E-03        -0.12390E-02   -0.84835E-03
  7  -3           0.12548E-02   -0.85873E-03         0.12390E-02   -0.84835E-03
  7   4           0.24426E-02   -0.36118E-03         0.24431E-02   -0.36207E-03
  7  -4           0.24426E-02    0.36118E-03         0.24431E-02    0.36207E-03
  7   5          -0.27215E-02    0.18617E-02        -0.27404E-02    0.18744E-02
  7  -5           0.27215E-02    0.18617E-02         0.27404E-02    0.18744E-02
  7   6           0.43108E-05   -0.11780E+00         0.42436E-05   -0.11784E+00
  7  -6           0.43108E-05    0.11780E+00         0.42436E-05    0.11784E+00
  7   7          -0.47002E-02   -0.32247E-02        -0.46773E-02   -0.32095E-02
  7  -7           0.47002E-02   -0.32247E-02         0.46773E-02   -0.32095E-02
  7   1           0.51584E-02   -0.35463E-02         0.51444E-02   -0.35370E-02
  7  -1          -0.51584E-02   -0.35463E-02        -0.51444E-02   -0.35370E-02
  7   2           0.24198E-05   -0.12873E+00         0.24105E-05   -0.12878E+00
  7  -2           0.24198E-05    0.12873E+00         0.24105E-05    0.12878E+00
  7   3          -0.12548E-02   -0.85873E-03        -0.12390E-02   -0.84835E-03
  7  -3           0.12548E-02   -0.85873E-03         0.12390E-02   -0.84835E-03
  7   4           0.24426E-02   -0.36118E-03         0.24431E-02   -0.36207E-03
  7  -4           0.24426E-02    0.36118E-03         0.24431E-02    0.36207E-03
  7   5          -0.27215E-02    0.18617E-02        -0.27404E-02    0.18744E-02
  7  -5           0.27215E-02    0.18617E-02         0.27404E-02    0.18744E-02
  7   6           0.43108E-05   -0.11780E+00         0.42436E-05   -0.11784E+00
  7  -6           0.43108E-05    0.11780E+00         0.42436E-05    0.11784E+00
  7   7          -0.47002E-02   -0.32247E-02        -0.46773E-02   -0.32095E-02
  7  -7           0.47002E-02   -0.32247E-02         0.46773E-02   -0.32095E-02
  8   0           0.52642E-01    0.00000E+00         0.56887E-01   -0.98053E-15
  8   1           0.59093E-03   -0.93583E-03         0.52886E-03   -0.83506E-03
  8  -1          -0.59093E-03   -0.93583E-03        -0.52886E-03   -0.83506E-03
  8   2           0.10441E-03    0.31323E-02         0.11464E-03    0.34713E-02
  8  -2           0.10441E-03   -0.31323E-02         0.11464E-03   -0.34713E-02
  8   3          -0.88121E-03   -0.12354E-02        -0.11223E-02   -0.16026E-02
  8  -3           0.88121E-03   -0.12354E-02         0.11223E-02   -0.16026E-02
  8   4           0.19352E-01    0.86412E-05         0.20944E-01    0.86870E-05
  8  -4           0.19352E-01   -0.86412E-05         0.20944E-01   -0.86870E-05
  8   5          -0.56801E-02    0.85186E-02        -0.61404E-02    0.92034E-02
  8  -5           0.56801E-02    0.85186E-02         0.61404E-02    0.92034E-02
  8   6           0.32656E-03   -0.14342E-02         0.33088E-03   -0.14899E-02
  8  -6           0.32656E-03    0.14342E-02         0.33088E-03    0.14899E-02
  8   7          -0.33965E-02   -0.50344E-02        -0.38739E-02   -0.57563E-02
  8  -7           0.33965E-02   -0.50344E-02         0.38739E-02   -0.57563E-02
  8   8           0.29792E-01   -0.13932E-05         0.32206E-01   -0.21262E-05
  8  -8           0.29792E-01    0.13932E-05         0.32206E-01    0.21262E-05
  8   1           0.59093E-03   -0.93583E-03         0.52886E-03   -0.83506E-03
  8  -1          -0.59093E-03   -0.93583E-03        -0.52886E-03   -0.83506E-03
  8   2           0.10441E-03    0.31323E-02         0.11464E-03    0.34713E-02
  8  -2           0.10441E-03   -0.31323E-02         0.11464E-03   -0.34713E-02
  8   3          -0.88121E-03   -0.12354E-02        -0.11223E-02   -0.16026E-02
  8  -3           0.88121E-03   -0.12354E-02         0.11223E-02   -0.16026E-02
  8   4           0.19352E-01    0.86412E-05         0.20944E-01    0.86870E-05
  8  -4           0.19352E-01   -0.86412E-05         0.20944E-01   -0.86870E-05
  8   5          -0.56801E-02    0.85186E-02        -0.61404E-02    0.92034E-02
  8  -5           0.56801E-02    0.85186E-02         0.61404E-02    0.92034E-02
  8   6           0.32656E-03   -0.14342E-02         0.33088E-03   -0.14899E-02
  8  -6           0.32656E-03    0.14342E-02         0.33088E-03    0.14899E-02
  8   7          -0.33965E-02   -0.50344E-02        -0.38739E-02   -0.57563E-02
  8  -7           0.33965E-02   -0.50344E-02         0.38739E-02   -0.57563E-02
  8   8           0.29792E-01   -0.13932E-05         0.32206E-01   -0.21262E-05
  8  -8           0.29792E-01    0.13932E-05         0.32206E-01    0.21262E-05

          multipole moments for atom type=    2

  l   m                   original                      plane wave
  0   0          -0.52203E+00    0.00000E+00         0.77848E+00   -0.84139E-15
  1   0          -0.16734E-02    0.00000E+00        -0.14127E-02   -0.78473E-16
  1   1           0.49363E-02   -0.31538E-02         0.40563E-02   -0.25988E-02
  1  -1          -0.49363E-02   -0.31538E-02        -0.40563E-02   -0.25988E-02
  1   1           0.49363E-02   -0.31538E-02         0.40563E-02   -0.25988E-02
  1  -1          -0.49363E-02   -0.31538E-02        -0.40563E-02   -0.25988E-02
  2   0           0.52203E-03    0.00000E+00         0.49874E-03    0.43342E-16
  2   1           0.12346E-01   -0.18690E-01         0.11743E-01   -0.17751E-01
  2  -1          -0.12346E-01   -0.18690E-01        -0.11743E-01   -0.17751E-01
  2   2          -0.29035E-03    0.58685E-02        -0.27749E-03    0.56344E-02
  2  -2          -0.29035E-03   -0.58685E-02        -0.27749E-03   -0.56344E-02
  2   1           0.12346E-01   -0.18690E-01         0.11743E-01   -0.17751E-01
  2  -1          -0.12346E-01   -0.18690E-01        -0.11743E-01   -0.17751E-01
  2   2          -0.29035E-03    0.58685E-02        -0.27749E-03    0.56344E-02
  2  -2          -0.29035E-03   -0.58685E-02        -0.27749E-03   -0.56344E-02
  3   0           0.84952E-02    0.00000E+00         0.82483E-02   -0.53532E-15
  3   1           0.10736E-01   -0.72030E-02         0.10357E-01   -0.69547E-02
  3  -1          -0.10736E-01   -0.72030E-02        -0.10357E-01   -0.69547E-02
  3   2           0.55912E-05   -0.46967E+00         0.47831E-05   -0.46256E+00
  3  -2           0.55912E-05    0.46967E+00         0.47831E-05    0.46256E+00
  3   3          -0.13842E-01   -0.92682E-02        -0.13355E-01   -0.89520E-02
  3  -3           0.13842E-01   -0.92682E-02         0.13355E-01   -0.89520E-02
  3   1           0.10736E-01   -0.72030E-02         0.10357E-01   -0.69547E-02
  3  -1          -0.10736E-01   -0.72030E-02        -0.10357E-01   -0.69547E-02
  3   2           0.55912E-05   -0.46967E+00         0.47831E-05   -0.46256E+00
  3  -2           0.55912E-05    0.46967E+00         0.47831E-05    0.46256E+00
  3   3          -0.13842E-01   -0.92682E-02        -0.13355E-01   -0.89520E-02
  3  -3           0.13842E-01   -0.92682E-02         0.13355E-01   -0.89520E-02
  4   0          -0.27309E+00    0.00000E+00        -0.26912E+00    0.25785E-14
  4   1           0.34671E-03   -0.37970E-03         0.41296E-03   -0.48733E-03
  4  -1          -0.34671E-03   -0.37970E-03        -0.41296E-03   -0.48733E-03
  4   2          -0.31491E-03   -0.10925E-02        -0.30580E-03   -0.11522E-02
  4  -2          -0.31491E-03    0.10925E-02        -0.30580E-03    0.11522E-02
  4   3           0.83822E-03    0.96040E-03         0.10181E-02    0.12477E-02
  4  -3          -0.83822E-03    0.96040E-03        -0.10181E-02    0.12477E-02
  4   4          -0.16268E+00   -0.85624E-05        -0.16032E+00   -0.80561E-05
  4  -4          -0.16268E+00    0.85624E-05        -0.16032E+00    0.80561E-05
  4   1           0.34671E-03   -0.37970E-03         0.41296E-03   -0.48733E-03
  4  -1          -0.34671E-03   -0.37970E-03        -0.41296E-03   -0.48733E-03
  4   2          -0.31491E-03   -0.10925E-02        -0.30580E-03   -0.11522E-02
  4  -2          -0.31491E-03    0.10925E-02        -0.30580E-03    0.11522E-02
  4   3           0.83822E-03    0.96040E-03         0.10181E-02    0.12477E-02
  4  -3          -0.83822E-03    0.96040E-03        -0.10181E-02    0.12477E-02
  4   4          -0.16268E+00   -0.85624E-05        -0.16032E+00   -0.80561E-05
  4  -4          -0.16268E+00    0.85624E-05        -0.16032E+00    0.80561E-05
  5   0          -0.53229E-02    0.00000E+00        -0.52640E-02   -0.21543E-14
  5   1          -0.43744E-02    0.27155E-02        -0.42150E-02    0.26121E-02
  5  -1           0.43744E-02    0.27155E-02         0.42150E-02    0.26121E-02
  5   2          -0.77890E-05   -0.61502E-03        -0.76563E-05   -0.60117E-03
  5  -2          -0.77890E-05    0.61502E-03        -0.76563E-05    0.60117E-03
  5   3          -0.17820E-01   -0.11793E-01        -0.17488E-01   -0.11572E-01
  5  -3           0.17820E-01   -0.11793E-01         0.17488E-01   -0.11572E-01
  5   4           0.46737E-02    0.48354E-03         0.45594E-02    0.47257E-03
  5  -4           0.46737E-02   -0.48354E-03         0.45594E-02   -0.47257E-03
  5   5           0.37237E-02   -0.26169E-02         0.37297E-02   -0.26183E-02
  5  -5          -0.37237E-02   -0.26169E-02        -0.37297E-02   -0.26183E-02
  5   1          -0.43744E-02    0.27155E-02        -0.42150E-02    0.26121E-02
  5  -1           0.43744E-02    0.27155E-02         0.42150E-02    0.26121E-02
  5   2          -0.77890E-05   -0.61502E-03        -0.76563E-05   -0.60117E-03
  5  -2          -0.77890E-05    0.61502E-03        -0.76563E-05    0.60117E-03
  5   3          -0.17820E-01   -0.11793E-01        -0.17488E-01   -0.11572E-01
  5  -3           0.17820E-01   -0.11793E-01         0.17488E-01   -0.11572E-01
  5   4           0.46737E-02    0.48354E-03         0.45594E-02    0.47257E-03
  5  -4           0.46737E-02   -0.48354E-03         0.45594E-02   -0.47257E-03
  5   5           0.37237E-02   -0.26169E-02         0.37297E-02   -0.26183E-02
  5  -5          -0.37237E-02   -0.26169E-02        -0.37297E-02   -0.26183E-02
  6   0           0.10281E+00    0.00000E+00         0.10175E+00    0.23492E-14
  6   1          -0.64039E-02    0.97176E-02        -0.63488E-02    0.96356E-02
  6  -1           0.64039E-02    0.97176E-02         0.63488E-02    0.96356E-02
  6   2           0.11860E-03   -0.60791E-02         0.11752E-03   -0.60171E-02
  6  -2           0.11860E-03    0.60791E-02         0.11752E-03    0.60171E-02
  6   3          -0.42897E-02   -0.62284E-02        -0.42489E-02   -0.61697E-02
  6  -3           0.42897E-02   -0.62284E-02         0.42489E-02   -0.61697E-02
  6   4          -0.19311E+00   -0.55885E-05        -0.19113E+00   -0.56943E-05
  6  -4          -0.19311E+00    0.55885E-05        -0.19113E+00    0.56943E-05
  6   5          -0.97095E-02    0.14433E-01        -0.96204E-02    0.14304E-01
  6  -5           0.97095E-02    0.14433E-01         0.96204E-02    0.14304E-01
  6   6           0.17553E-03   -0.20772E-02         0.17391E-03   -0.20571E-02
  6  -6           0.17553E-03    0.20772E-02         0.17391E-03    0.20571E-02
  6   1          -0.64039E-02    0.97176E-02        -0.63488E-02    0.96356E-02
  6  -1           0.64039E-02    0.97176E-02         0.63488E-02    0.96356E-02
  6   2           0.11860E-03   -0.60791E-02         0.11752E-03   -0.60171E-02
  6  -2           0.11860E-03    0.60791E-02         0.11752E-03    0.60171E-02
  6   3          -0.42897E-02   -0.62284E-02        -0.42489E-02   -0.61697E-02
  6  -3           0.42897E-02   -0.62284E-02         0.42489E-02   -0.61697E-02
  6   4          -0.19311E+00   -0.55885E-05        -0.19113E+00   -0.56943E-05
  6  -4          -0.19311E+00    0.55885E-05        -0.19113E+00    0.56943E-05
  6   5          -0.97095E-02    0.14433E-01        -0.96204E-02    0.14304E-01
  6  -5           0.97095E-02    0.14433E-01         0.96204E-02    0.14304E-01
  6   6           0.17553E-03   -0.20772E-02         0.17391E-03   -0.20571E-02
  6  -6           0.17553E-03    0.20772E-02         0.17391E-03    0.20571E-02
  7   0          -0.24634E-02    0.00000E+00        -0.24470E-02   -0.11682E-15
  7   1          -0.51588E-02    0.35464E-02        -0.51448E-02    0.35370E-02
  7  -1           0.51588E-02    0.35464E-02         0.51448E-02    0.35370E-02
  7   2          -0.24077E-05    0.12873E+00        -0.23975E-05    0.12878E+00
  7  -2          -0.24077E-05   -0.12873E+00        -0.23975E-05   -0.12878E+00
  7   3           0.12555E-02    0.85878E-03         0.12398E-02    0.84840E-03
  7  -3          -0.12555E-02    0.85878E-03        -0.12398E-02    0.84840E-03
  7   4          -0.24427E-02    0.36109E-03        -0.24432E-02    0.36198E-03
  7  -4          -0.24427E-02   -0.36109E-03        -0.24432E-02   -0.36198E-03
  7   5           0.27233E-02   -0.18617E-02         0.27423E-02   -0.18744E-02
  7  -5          -0.27233E-02   -0.18617E-02        -0.27423E-02   -0.18744E-02
  7   6          -0.43803E-05    0.11780E+00        -0.43125E-05    0.11784E+00
  7  -6          -0.43803E-05   -0.11780E+00        -0.43125E-05   -0.11784E+00
  7   7           0.47002E-02    0.32245E-02         0.46773E-02    0.32093E-02
  7  -7          -0.47002E-02    0.32245E-02        -0.46773E-02    0.32093E-02
  7   1          -0.51588E-02    0.35464E-02        -0.51448E-02    0.35370E-02
  7  -1           0.51588E-02    0.35464E-02         0.51448E-02    0.35370E-02
  7   2          -0.24077E-05    0.12873E+00        -0.23975E-05    0.12878E+00
  7  -2          -0.24077E-05   -0.12873E+00        -0.23975E-05   -0.12878E+00
  7   3           0.12555E-02    0.85878E-03         0.12398E-02    0.84840E-03
  7  -3          -0.12555E-02    0.85878E-03        -0.12398E-02    0.84840E-03
  7   4          -0.24427E-02    0.36109E-03        -0.24432E-02    0.36198E-03
  7  -4          -0.24427E-02   -0.36109E-03        -0.24432E-02   -0.36198E-03
  7   5           0.27233E-02   -0.18617E-02         0.27423E-02   -0.18744E-02
  7  -5          -0.27233E-02   -0.18617E-02        -0.27423E-02   -0.18744E-02
  7   6          -0.43803E-05    0.11780E+00        -0.43125E-05    0.11784E+00
  7  -6          -0.43803E-05   -0.11780E+00        -0.43125E-05   -0.11784E+00
  7   7           0.47002E-02    0.32245E-02         0.46773E-02    0.32093E-02
  7  -7          -0.47002E-02    0.32245E-02        -0.46773E-02    0.32093E-02
  8   0           0.52642E-01    0.00000E+00         0.56887E-01   -0.10149E-13
  8   1           0.59091E-03   -0.93639E-03         0.52884E-03   -0.83566E-03
  8  -1          -0.59091E-03   -0.93639E-03        -0.52884E-03   -0.83566E-03
  8   2           0.10447E-03    0.31325E-02         0.11473E-03    0.34716E-02
  8  -2           0.10447E-03   -0.31325E-02         0.11473E-03   -0.34716E-02
  8   3          -0.88123E-03   -0.12358E-02        -0.11223E-02   -0.16031E-02
  8  -3           0.88123E-03   -0.12358E-02         0.11223E-02   -0.16031E-02
  8   4           0.19352E-01    0.87883E-05         0.20944E-01    0.88496E-05
  8  -4           0.19352E-01   -0.87883E-05         0.20944E-01   -0.88496E-05
  8   5          -0.56801E-02    0.85179E-02        -0.61404E-02    0.92027E-02
  8  -5           0.56801E-02    0.85179E-02         0.61404E-02    0.92027E-02
  8   6           0.32691E-03   -0.14344E-02         0.33123E-03   -0.14900E-02
  8  -6           0.32691E-03    0.14344E-02         0.33123E-03    0.14900E-02
  8   7          -0.33965E-02   -0.50330E-02        -0.38739E-02   -0.57549E-02
  8  -7           0.33965E-02   -0.50330E-02         0.38739E-02   -0.57549E-02
  8   8           0.29792E-01   -0.14592E-05         0.32206E-01   -0.21945E-05
  8  -8           0.29792E-01    0.14592E-05         0.32206E-01    0.21945E-05
  8   1           0.59091E-03   -0.93639E-03         0.52884E-03   -0.83566E-03
  8  -1          -0.59091E-03   -0.93639E-03        -0.52884E-03   -0.83566E-03
  8   2           0.10447E-03    0.31325E-02         0.11473E-03    0.34716E-02
  8  -2           0.10447E-03   -0.31325E-02         0.11473E-03   -0.34716E-02
  8   3          -0.88123E-03   -0.12358E-02        -0.11223E-02   -0.16031E-02
  8  -3           0.88123E-03   -0.12358E-02         0.11223E-02   -0.16031E-02
  8   4           0.19352E-01    0.87883E-05         0.20944E-01    0.88496E-05
  8  -4           0.19352E-01   -0.87883E-05         0.20944E-01   -0.88496E-05
  8   5          -0.56801E-02    0.85179E-02        -0.61404E-02    0.92027E-02
  8  -5           0.56801E-02    0.85179E-02         0.61404E-02    0.92027E-02
  8   6           0.32691E-03   -0.14344E-02         0.33123E-03   -0.14900E-02
  8  -6           0.32691E-03    0.14344E-02         0.33123E-03    0.14900E-02
  8   7          -0.33965E-02   -0.50330E-02        -0.38739E-02   -0.57549E-02
  8  -7           0.33965E-02   -0.50330E-02         0.38739E-02   -0.57549E-02
  8   8           0.29792E-01   -0.14592E-05         0.32206E-01   -0.21945E-05
  8  -8           0.29792E-01    0.14592E-05         0.32206E-01    0.21945E-05

          integral of pseudo charge density inside the slab=        0.000000   0.000000

     coulomb potential in the interstitial region:

          density-coulomb potential integrals


          interstitial :                       0.7807211044

          muffin tin spheres :              -845.1833312222

          total density-coulomb potenti     -844.4026101178
 wrtdop title:alpha Si                                                                ordered*

     interstitial potential average (vbar) = -0.027906

 999idsprs in starting of nmtxad= 0

          density-effective potential integrals for spin  1


          interstitial :                      -0.4749448195

          muffin tin spheres :              -897.8378394000

          total density-effective poten     -898.3127842195

          charge density-energy density integrals


          interstitial :                      -0.9795633338

          muffin tin spheres :               -40.7649507717

          total charge density-energy d      -41.7445141056
 vgen: pottot deleted
 wrtdop title:alpha Si                                                                ordered*
 IT=  19  ISEC1=  99 standard diagonalization
  Atom  1 3s branch from -4.72 to  1.07 htr. ; e_l = -0.1341
  Atom  1 3p branch from -3.11 to  1.55 htr. ; e_l =  0.0500
  Atom  1 3d branch from -9.99 to  1.95 htr. ; e_l =  0.2439
  Atom  1 4f branch from -9.99 to  4.11 htr. ; e_l =  0.4116
  Atom  2 3s branch from -4.72 to  1.07 htr. ; e_l = -0.1341
  Atom  2 3p branch from -3.11 to  1.55 htr. ; e_l =  0.0500
  Atom  2 3d branch from -9.99 to  1.95 htr. ; e_l =  0.2439
  Atom  2 4f branch from -9.99 to  4.11 htr. ; e_l =  0.4116


 wavefunction parameters for atom type  1:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.13409        4.7800588E-01  -2.4465366E-01    2       -3.1232929E-01  -7.4530269E-01    2   1.0766710E-01   4.3267158E-01
  1   0.04999       -5.5348712E-01   9.9418243E-02    1        2.6599578E-01   7.3396795E-01    2   7.9521943E-02   4.3268664E-01
  2   0.24387        6.4439219E-01   1.6344256E-01    0       -2.3289853E-01  -7.3053287E-01    1   6.5178938E-02   4.3268414E-01
  3   0.41164        8.3800007E-01   7.5544845E-01    0       -1.2158489E-01  -6.2593055E-01    1   1.3122242E-02   4.3267873E-01
  4   0.41164        9.7736354E-01   1.4626809E+00    0       -8.2132586E-02  -5.6560526E-01    1   4.9166923E-03   4.3266820E-01
  5   0.41164        1.0889890E+00   2.2153832E+00    0       -6.1660944E-02  -5.2273998E-01    1   2.3795468E-03   4.3265549E-01
  6   0.41164        1.1859741E+00   3.0206232E+00    0       -4.8925249E-02  -4.8940792E-01    1   1.3189789E-03   4.3264038E-01
  7   0.41164        1.2734321E+00   3.8786657E+00    0       -4.0219931E-02  -4.6223314E-01    1   7.9808738E-04   4.3262283E-01
  8   0.41164        1.3539864E+00   4.7881050E+00    0       -3.3904804E-02  -4.3940067E-01    1   5.1413446E-04   4.3260278E-01


 wavefunction parameters for atom type  2:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.13409        4.7800588E-01  -2.4465367E-01    2       -3.1232930E-01  -7.4530269E-01    2   1.0766710E-01   4.3267158E-01
  1   0.04999       -5.5348712E-01   9.9418253E-02    1        2.6599578E-01   7.3396795E-01    2   7.9521945E-02   4.3268664E-01
  2   0.24387        6.4439219E-01   1.6344255E-01    0       -2.3289853E-01  -7.3053287E-01    1   6.5178940E-02   4.3268414E-01
  3   0.41164        8.3800006E-01   7.5544844E-01    0       -1.2158489E-01  -6.2593055E-01    1   1.3122243E-02   4.3267873E-01
  4   0.41164        9.7736354E-01   1.4626809E+00    0       -8.2132587E-02  -5.6560526E-01    1   4.9166924E-03   4.3266820E-01
  5   0.41164        1.0889890E+00   2.2153832E+00    0       -6.1660944E-02  -5.2273998E-01    1   2.3795468E-03   4.3265549E-01
  6   0.41164        1.1859741E+00   3.0206232E+00    0       -4.8925250E-02  -4.8940792E-01    1   1.3189789E-03   4.3264038E-01
  7   0.41164        1.2734321E+00   3.8786657E+00    0       -4.0219931E-02  -4.6223314E-01    1   7.9808738E-04   4.3262283E-01
  8   0.41164        1.3539864E+00   4.7881050E+00    0       -3.3904804E-02  -4.3940067E-01    1   5.1413446E-04   4.3260278E-01


 k=(    0.444444    0.444444    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.153280   -0.031293    0.159306    0.163882    0.258587
         0.324574    0.329870    0.487745


 k=(    0.333333    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155807   -0.016636    0.134401    0.147133    0.282764
         0.327031    0.355424    0.456842


 k=(    0.222222    0.444444    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149604   -0.001541    0.095572    0.126844    0.263607
         0.363102    0.395648    0.410692


 k=(    0.111111    0.444444    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133882   -0.013596    0.094256    0.110453    0.240047
         0.284585    0.479228    0.481202


 k=(    0.000000    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.109044   -0.046474    0.102274    0.107596    0.228001
         0.244450    0.544473    0.545265


 k=(   -0.111111    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.085594   -0.069896    0.085730    0.103582    0.233510
         0.270559    0.542643    0.551618


 k=(    0.222222    0.555556    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107770   -0.042866    0.061525    0.114177    0.246329
         0.342994    0.468496    0.471697


 k=(    0.333333    0.555556    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128235   -0.032822    0.076669    0.132190    0.268738
         0.386840    0.397743    0.434831


 k=(    0.555556    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143573   -0.035778    0.125162    0.151858    0.282834
         0.327785    0.346526    0.501226


 k=(    0.444444    0.333333    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155848   -0.016444    0.132471    0.148931    0.283239
         0.328016    0.353720    0.455743


 k=(    0.333333    0.333333    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165140   -0.000120    0.121288    0.166961    0.290187
         0.336918    0.339240    0.476509


 k=(    0.222222    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164629    0.017667    0.096393    0.146835    0.304000
         0.336244    0.384323    0.403148


 k=(    0.111111    0.333333    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153777    0.012629    0.094953    0.119002    0.273270
         0.310800    0.402721    0.466475


 k=(    0.000000    0.333333    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132897   -0.016358    0.090604    0.115990    0.245257
         0.279235    0.479960    0.483708


 k=(   -0.111111    0.333333    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104154   -0.048509    0.083709    0.094294    0.265639
         0.279963    0.470633    0.535967


 k=(   -0.222222    0.333333    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.090022   -0.059316    0.061330    0.092609    0.277041
         0.343700    0.449012    0.458083


 k=(    0.666667    0.333333    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114369   -0.035890    0.057317    0.109589    0.294950
         0.369553    0.431858    0.447727


 k=(    0.555556    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138135   -0.025713    0.090673    0.132751    0.308919
         0.319094    0.402803    0.446686


 k=(    0.444444    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149664   -0.001050    0.093756    0.128137    0.264890
         0.361787    0.395654    0.409422


 k=(    0.333333    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164637    0.017879    0.095589    0.147519    0.304347
         0.337081    0.383680    0.401195


 k=(    0.222222    0.222222    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169430    0.026843    0.085213    0.166317    0.303689
         0.364729    0.374785    0.419056


 k=(    0.111111    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163615    0.011823    0.100896    0.146666    0.310878
         0.335967    0.378024    0.407317


 k=(    0.000000    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147500   -0.009116    0.094899    0.132985    0.270626
         0.356049    0.397572    0.412258


 k=(   -0.111111    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122437   -0.030788    0.069179    0.113230    0.291024
         0.346659    0.390282    0.479096


 k=(   -0.222222    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.093423   -0.055017    0.059246    0.085568    0.343711
         0.355316    0.374634    0.436209


 k=(    0.666667    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.097547   -0.048784    0.061523    0.080911    0.346072
         0.350041    0.373358    0.440554


 k=(    0.555556    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125937   -0.022156    0.070718    0.105886    0.286354
         0.351668    0.385263    0.480628


 k=(    0.444444    0.111111    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133913   -0.013404    0.092962    0.111508    0.241158
         0.283572    0.478323    0.480871


 k=(    0.333333    0.111111    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153753    0.012445    0.095195    0.118980    0.273444
         0.310524    0.402767    0.466291


 k=(    0.222222    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163587    0.011512    0.101809    0.146042    0.310476
         0.335206    0.378640    0.409064


 k=(    0.111111    0.111111    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163011   -0.008656    0.128772    0.164607    0.292702
         0.338562    0.348910    0.472761


 k=(    0.000000    0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152470   -0.026481    0.133392    0.154507    0.287827
         0.333143    0.355790    0.449996


 k=(   -0.111111    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133329   -0.037373    0.089779    0.141346    0.310583
         0.328710    0.400404    0.440718


 k=(   -0.222222    0.111111    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108135   -0.047597    0.056391    0.116496    0.300711
         0.373507    0.424562    0.444467


 k=(    0.666667    0.111111    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.083651   -0.066855    0.057418    0.097685    0.282997
         0.337841    0.447238    0.458981


 k=(    0.555556    0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105951   -0.045297    0.084656    0.091510    0.267532
         0.278610    0.465143    0.535450


 k=(    0.444444    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.108899   -0.046773    0.103235    0.106873    0.228438
         0.243916    0.544599    0.545104


 k=(    0.333333    0.000000    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132760   -0.016957    0.092067    0.115205    0.244238
         0.279979    0.479889    0.485021


 k=(    0.222222    0.000000    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147393   -0.009745    0.096561    0.132041    0.269259
         0.357131    0.397360    0.413956


 k=(    0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152410   -0.026706    0.134675    0.153442    0.287354
         0.331573    0.358003    0.451120


 k=(    0.000000    0.000000    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.148642   -0.042575    0.160062    0.169132    0.262150
         0.326410    0.337164    0.491927


 k=(   -0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137974   -0.048174    0.125660    0.158291    0.287067
         0.332373    0.348737    0.505690


 k=(    0.222222    0.000000    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122505   -0.045135    0.077910    0.137676    0.274764
         0.388984    0.399608    0.428465


 k=(    0.333333    0.000000    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.102677   -0.051272    0.059867    0.119117    0.252256
         0.337270    0.468608    0.474212


 k=(    0.555556    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.078474   -0.077363    0.081258    0.108248    0.239502
         0.264779    0.538562    0.551413


 k=(    0.444444   -0.111111    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.084109   -0.071571    0.084954    0.104556    0.234726
         0.269327    0.541743    0.551730


 k=(    0.333333   -0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103600   -0.049506    0.084206    0.094377    0.265845
         0.279578    0.471764    0.536105


 k=(    0.222222   -0.111111    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122129   -0.031676    0.069958    0.113224    0.289558
         0.347963    0.391349    0.479274


 k=(    0.111111   -0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133163   -0.037753    0.089737    0.141735    0.309839
         0.329372    0.400208    0.441880


 k=(    0.000000   -0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137915   -0.048240    0.124477    0.159654    0.287522
         0.333934    0.346263    0.505543


 k=(    0.111111    0.111111    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.138153   -0.047979    0.130465    0.152824    0.285868
         0.330286    0.353447    0.506323


 k=(    0.222222    0.111111    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133849   -0.036787    0.095366    0.134739    0.313951
         0.321067    0.407414    0.441289


 k=(    0.333333    0.111111    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123242   -0.029372    0.072701    0.108563    0.290730
         0.347842    0.386361    0.483788


 k=(    0.444444    0.111111    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105166   -0.046751    0.084807    0.092220    0.266954
         0.278934    0.467494    0.535857


 k=(    0.555556    0.222222    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107504   -0.043139    0.060397    0.115273    0.247610
         0.341744    0.466893    0.471877


 k=(    0.333333   -0.222222    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.088828   -0.060830    0.060608    0.093662    0.278259
         0.342445    0.448234    0.458743


 k=(    0.222222   -0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.092355   -0.056556    0.059054    0.086289    0.344310
         0.355083    0.375080    0.435353


 k=(    0.111111   -0.222222    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.107761   -0.048133    0.055891    0.117151    0.302189
         0.371762    0.424121    0.444565


 k=(    0.000000    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122418   -0.045102    0.076694    0.138745    0.276222
         0.388455    0.397627    0.428199


 k=(    0.111111    0.222222    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133844   -0.036652    0.093967    0.136107    0.313706
         0.322507    0.405715    0.440282


 k=(    0.222222    0.222222    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139156   -0.021638    0.074186    0.147350    0.284874
         0.388294    0.391059    0.464109


 k=(    0.333333    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136452   -0.012567    0.062918    0.127526    0.315591
         0.353309    0.384294    0.457796


 k=(    0.444444    0.222222    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125404   -0.023438    0.069405    0.108331    0.285807
         0.351643    0.387931    0.477879


 k=(    0.555556    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128116   -0.032855    0.075274    0.133560    0.270061
         0.385933    0.396245    0.434509


 k=(    0.333333    0.666667    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114055   -0.036412    0.056700    0.110434    0.296334
         0.367917    0.431056    0.448197


 k=(    0.222222    0.666667    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.096830   -0.049910    0.060978    0.081911    0.344986
         0.351752    0.373606    0.439645


 k=(    0.111111    0.666667    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.082090   -0.068550    0.056669    0.098526    0.284299
         0.336622    0.447320    0.458708


 k=(    0.000000    0.333333    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.102599   -0.051145    0.058677    0.119961    0.253650
         0.336088    0.467520    0.473761


 k=(    0.111111    0.333333    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123269   -0.029057    0.071175    0.109777    0.291967
         0.346539    0.386542    0.482353


 k=(    0.222222    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136471   -0.012477    0.062848    0.127497    0.315710
         0.352931    0.384607    0.458046


 k=(    0.333333    0.333333    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141151   -0.014450    0.068537    0.148211    0.285077
         0.382633    0.384140    0.470155


 k=(    0.444444    0.333333    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137818   -0.026205    0.087742    0.136429    0.306868
         0.323337    0.398963    0.446858


 k=(    0.444444    0.555556    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143519   -0.035838    0.123536    0.153718    0.283274
         0.328614    0.344756    0.501150


 k=(    0.333333    0.555556    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138010   -0.026039    0.090513    0.133232    0.307766
         0.320180    0.402669    0.447782


 k=(    0.222222    0.555556    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125739   -0.022825    0.071412    0.105803    0.284926
         0.353161    0.386201    0.480745


 k=(    0.111111    0.555556    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105703   -0.045728    0.084051    0.092346    0.266685
         0.279404    0.466263    0.535482


 k=(    0.000000    0.555556    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.079463   -0.076274    0.080299    0.108986    0.240824
         0.263607    0.537596    0.551238


 k=(    0.111111    0.444444    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105311   -0.046454    0.084192    0.092632    0.266418
         0.279550    0.467439    0.535665


 k=(    0.222222    0.444444    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125473   -0.023463    0.070731    0.107041    0.284672
         0.353135    0.387540    0.479334


 k=(    0.333333    0.444444    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137851   -0.026285    0.089041    0.135067    0.306831
         0.322233    0.400715    0.447878


 k=(    0.444444    0.444444    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143466   -0.035899    0.122144    0.155322    0.283736
         0.329990    0.342428    0.501109


 k=(    0.444444    0.444444    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155892   -0.016240    0.130911    0.150326    0.283726
         0.329357    0.351648    0.454679


 k=(    0.333333    0.444444    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165242    0.000192    0.122443    0.165163    0.289830
         0.335665    0.341500    0.475885


 k=(    0.222222    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164788    0.018348    0.097308    0.144991    0.304808
         0.334404    0.384424    0.404723


 k=(    0.111111    0.444444    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154000    0.013880    0.094611    0.118036    0.273641
         0.310805    0.401369    0.466704


 k=(    0.000000    0.444444    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133200   -0.015303    0.089611    0.116052    0.245471
         0.279251    0.479041    0.482459


 k=(   -0.111111    0.444444    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104551   -0.047804    0.083595    0.094014    0.265900
         0.279803    0.469520    0.535942


 k=(   -0.222222    0.444444    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.089973   -0.059387    0.061361    0.092607    0.277035
         0.343677    0.449398    0.457782


 k=(    0.666667    0.444444    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114248   -0.036042    0.056784    0.110244    0.294847
         0.370480    0.432309    0.446762


 k=(    0.555556    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138107   -0.025617    0.089279    0.134173    0.308806
         0.320382    0.400949    0.445762


 k=(    0.444444    0.333333    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165343    0.000488    0.123798    0.163160    0.289509
         0.335413    0.342741    0.475631


 k=(    0.333333    0.333333    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.179955    0.017494    0.165430    0.170026    0.265770
         0.329473    0.334653    0.490746


 k=(    0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184128    0.039434    0.149050    0.150888    0.287487
         0.330615    0.364860    0.405025


 k=(    0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177346    0.049581    0.122922    0.130338    0.258633
         0.324892    0.404632    0.417088


 k=(    0.000000    0.333333    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159802    0.022411    0.115980    0.121805    0.233467
         0.280593    0.469580    0.469776


 k=(   -0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133000   -0.016614    0.097150    0.110278    0.239474
         0.284374    0.480995    0.485834


 k=(   -0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.105505   -0.047359    0.064120    0.113990    0.246102
         0.342963    0.472600    0.473835


 k=(    0.666667    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.113788   -0.036122    0.048697    0.126521    0.260438
         0.422336    0.445171    0.458716


 k=(    0.555556    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141791   -0.012877    0.070034    0.145328    0.282338
         0.384274    0.386877    0.469621


 k=(    0.444444    0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164954    0.019223    0.097526    0.143721    0.306107
         0.333273    0.383823    0.404408


 k=(    0.333333    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184173    0.039813    0.147100    0.152355    0.287879
         0.331819    0.363324    0.403749


 k=(    0.222222    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192884    0.061210    0.130109    0.182530    0.301669
         0.331814    0.343424    0.428950


 k=(    0.111111    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190425    0.068445    0.120694    0.162155    0.293323
         0.343531    0.367199    0.388893


 k=(    0.000000    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176847    0.045023    0.121117    0.136666    0.261649
         0.321076    0.406677    0.419208


 k=(   -0.111111    0.222222    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153114    0.009247    0.094915    0.122634    0.272164
         0.310652    0.406595    0.466407


 k=(   -0.222222    0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123458   -0.029092    0.073796    0.107952    0.284146
         0.353731    0.389930    0.482812


 k=(    0.666667    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.112090   -0.040960    0.059641    0.110144    0.294606
         0.374914    0.427905    0.446673


 k=(    0.555556    0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137459   -0.009255    0.062825    0.124924    0.312878
         0.354257    0.384567    0.458718


 k=(    0.444444    0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154198    0.014942    0.094667    0.116882    0.274210
         0.310538    0.400055    0.466812


 k=(    0.333333    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177389    0.050157    0.120952    0.131627    0.259417
         0.324342    0.404276    0.416168


 k=(    0.222222    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190419    0.068308    0.120821    0.162226    0.293366
         0.343601    0.366988    0.388700


 k=(    0.111111    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192328    0.054805    0.136638    0.180968    0.304775
         0.338634    0.343311    0.424773


 k=(    0.000000    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183023    0.031759    0.148599    0.157987    0.292631
         0.335467    0.365892    0.398123


 k=(   -0.111111    0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163130    0.010042    0.097844    0.152275    0.307976
         0.341568    0.378026    0.402932


 k=(   -0.222222    0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134954   -0.016978    0.062470    0.131468    0.319248
         0.351893    0.384171    0.457563


 k=(   -0.333333    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110399   -0.043525    0.056505    0.114243    0.301356
         0.366967    0.425534    0.447141


 k=(    0.555556    0.111111    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.124659   -0.025411    0.070247    0.108238    0.291132
         0.347244    0.384765    0.481651


 k=(    0.444444    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133365   -0.014866    0.090096    0.115324    0.244656
         0.280031    0.477997    0.482593


 k=(    0.333333    0.000000    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159777    0.022183    0.117037    0.121039    0.233610
         0.280342    0.469421    0.469774


 k=(    0.222222    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176778    0.044154    0.123013    0.135868    0.261023
         0.321240    0.406709    0.420386


 k=(    0.111111    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182968    0.031328    0.149454    0.157749    0.292275
         0.333798    0.367735    0.399377


 k=(    0.000000    0.000000    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178115    0.008604    0.166629    0.175732    0.269637
         0.331314    0.341725    0.491544


 k=(   -0.111111    0.000000    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162683   -0.009542    0.124821    0.170477    0.293524
         0.337840    0.346801    0.472836


 k=(   -0.222222    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138136   -0.023823    0.071682    0.151758    0.288538
         0.384208    0.389057    0.464700


 k=(   -0.333333    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.109295   -0.044115    0.046715    0.132230    0.266722
         0.415435    0.438916    0.463376


 k=(    0.555556    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104479   -0.047959    0.058123    0.119249    0.252409
         0.337213    0.465623    0.473207


 k=(    0.444444   -0.111111    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104399   -0.048105    0.084091    0.093719    0.266397
         0.279225    0.469580    0.536137


 k=(    0.333333   -0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132729   -0.017453    0.096829    0.111275    0.240381
         0.283324    0.481175    0.486571


 k=(    0.222222   -0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152865    0.007938    0.095382    0.123557    0.271986
         0.310365    0.407913    0.466322


 k=(    0.111111   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162937    0.009100    0.097909    0.153348    0.306887
         0.342393    0.378607    0.403296


 k=(    0.000000   -0.111111    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162570   -0.009867    0.123863    0.172065    0.293887
         0.337997    0.345646    0.473876


 k=(   -0.111111   -0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152246   -0.027307    0.140467    0.148116    0.286032
         0.328672    0.362720    0.454685


 k=(   -0.222222   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133385   -0.037816    0.094804    0.136256    0.310380
         0.324328    0.406609    0.445201


 k=(   -0.333333   -0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108583   -0.047209    0.058487    0.114140    0.301113
         0.370239    0.422497    0.447633


 k=(    0.555556   -0.111111    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.083395   -0.067170    0.057490    0.097690    0.282977
         0.337792    0.448018    0.458424


 k=(    0.444444   -0.222222    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.088684   -0.061033    0.060688    0.093661    0.278242
         0.342388    0.449161    0.458042


 k=(    0.333333   -0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104363   -0.049256    0.063857    0.115020    0.247307
         0.341734    0.472433    0.474597


 k=(    0.222222   -0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122674   -0.030973    0.073576    0.109420    0.285130
         0.352538    0.391039    0.482510


 k=(    0.111111   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134411   -0.018594    0.062594    0.132594    0.320794
         0.351366    0.383891    0.457177


 k=(    0.000000   -0.222222    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.137785   -0.024605    0.071064    0.152979    0.290016
         0.382936    0.388094    0.465350


 k=(   -0.111111   -0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133214   -0.038061    0.093392    0.137983    0.309634
         0.326188    0.404725    0.445343


 k=(   -0.222222   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122824   -0.045128    0.082077    0.133679    0.271007
         0.391012    0.403928    0.430089


 k=(    0.333333    0.222222    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109667   -0.045664    0.060485    0.111616    0.297233
         0.374787    0.423395    0.448088


 k=(    0.444444    0.222222    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.095829   -0.051523    0.060923    0.082662    0.346738
         0.350135    0.374228    0.438978


 k=(    0.444444    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113798   -0.036747    0.055686    0.111721    0.296094
         0.369752    0.431889    0.446563


 k=(    0.333333    0.666667    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.112913   -0.037785    0.048356    0.127706    0.261714
         0.420651    0.443800    0.459536


 k=(    0.222222    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110824   -0.043344    0.059440    0.111560    0.295810
         0.375747    0.426169    0.446189


 k=(    0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109068   -0.045931    0.056431    0.115460    0.302661
         0.367683    0.424100    0.446359


 k=(    0.000000   -0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.108326   -0.045730    0.046400    0.133159    0.268135
         0.414053    0.437542    0.465294


 k=(   -0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108125   -0.047793    0.057406    0.115404    0.302548
         0.369340    0.422580    0.446584


 k=(    0.222222    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109580   -0.045713    0.059889    0.112240    0.297179
         0.375650    0.423878    0.446952


 k=(    0.333333    0.333333    0.666667):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.112016   -0.039462    0.048082    0.128773    0.263092
         0.418865    0.442330    0.460886


 k=(    0.444444    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113481   -0.037276    0.055159    0.112464    0.297568
         0.368012    0.430947    0.447254


 k=(    0.444444    0.555556    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137948   -0.025862    0.087824    0.136011    0.307740
         0.322522    0.399064    0.445837


 k=(    0.333333    0.555556    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141473   -0.013650    0.069227    0.146837    0.283645
         0.383206    0.385806    0.469673


 k=(    0.222222    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136978   -0.010819    0.062755    0.126258    0.314234
         0.353536    0.384705    0.458491


 k=(    0.111111    0.555556    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123985   -0.027071    0.069940    0.109631    0.292162
         0.346217    0.385761    0.481285


 k=(    0.000000    0.555556    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103528   -0.049458    0.057802    0.120028    0.253727
         0.336051    0.465992    0.473313


 k=(   -0.111111    0.555556    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.081969   -0.068693    0.056696    0.098529    0.284291
         0.336604    0.447606    0.458506


 k=(    0.222222    0.444444    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.095971   -0.051269    0.060717    0.082731    0.345462
         0.351663    0.374045    0.438830


 k=(    0.333333    0.444444    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113617   -0.037092    0.055643    0.111830    0.297708
         0.367101    0.430570    0.447921


 k=(    0.555556    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128005   -0.032871    0.073974    0.134789    0.271486
         0.385174    0.394438    0.434305


 k=(    0.444444    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149732   -0.000503    0.092026    0.129261    0.266251
         0.360339    0.396090    0.407818


 k=(    0.333333    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164808    0.018814    0.095613    0.146384    0.305534
         0.336027    0.383081    0.400937


 k=(    0.222222    0.444444    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169704    0.028586    0.084911    0.164768    0.302281
         0.366318    0.374107    0.419601


 k=(    0.111111    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164006    0.013941    0.099870    0.145729    0.310660
         0.335164    0.378561    0.405937


 k=(    0.000000    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148038   -0.006921    0.092898    0.133194    0.270733
         0.356016    0.397208    0.410330


 k=(   -0.111111    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123161   -0.028840    0.068015    0.113078    0.291177
         0.346343    0.389545    0.477969


 k=(   -0.222222    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.094307   -0.053729    0.059536    0.084838    0.343380
         0.355081    0.374331    0.437167


 k=(    0.666667    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.097470   -0.048929    0.061661    0.080857    0.347690
         0.348287    0.373449    0.440649


 k=(    0.555556    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125887   -0.022064    0.069313    0.107181    0.287586
         0.350079    0.385664    0.479192


 k=(    0.444444    0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164966    0.019476    0.096628    0.144437    0.306486
         0.334059    0.383132    0.402566


 k=(    0.333333    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184219    0.040227    0.145712    0.153207    0.288263
         0.333302    0.361515    0.402508


 k=(    0.222222    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192966    0.061926    0.130829    0.180542    0.301380
         0.333594    0.342430    0.428559


 k=(    0.111111    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190546    0.070183    0.120219    0.160521    0.293742
         0.343035    0.366536    0.389174


 k=(    0.000000    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177015    0.046835    0.119018    0.136786    0.261857
         0.321398    0.405911    0.417654


 k=(   -0.111111    0.333333    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153340    0.010430    0.094539    0.121784    0.272506
         0.310660    0.405298    0.466395


 k=(   -0.222222    0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123731   -0.028499    0.074542    0.106718    0.284370
         0.353727    0.388664    0.484177


 k=(    0.666667    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.112183   -0.040889    0.060245    0.109492    0.294664
         0.374003    0.427398    0.447929


 k=(    0.555556    0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137448   -0.009311    0.062870    0.124941    0.312818
         0.354478    0.384368    0.458581


 k=(    0.444444    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169973    0.030302    0.084740    0.163071    0.301054
         0.367741    0.373548    0.420108


 k=(    0.333333    0.222222    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.193047    0.062591    0.131789    0.178348    0.301176
         0.335912    0.340849    0.428281


 k=(    0.222222    0.222222    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205870    0.086461    0.177001    0.181749    0.279018
         0.328029    0.332508    0.438876


 k=(    0.111111    0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207409    0.108006    0.160523    0.168109    0.285369
         0.332392    0.359311    0.385707


 k=(    0.000000    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197525    0.094416    0.142238    0.149381    0.254361
         0.336380    0.397164    0.398120


 k=(   -0.111111    0.222222    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176849    0.044455    0.128862    0.130134    0.257940
         0.323684    0.407121    0.421692


 k=(   -0.222222    0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148066   -0.007987    0.101580    0.126259    0.263204
         0.362270    0.397650    0.416522


 k=(   -0.333333    0.222222    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.125303   -0.040034    0.081577    0.131545    0.268441
         0.389923    0.403422    0.432844


 k=(    0.555556    0.222222    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.140640   -0.017235    0.073521    0.144831    0.282209
         0.386923    0.391653    0.466432


 k=(    0.444444    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164364    0.015746    0.099891    0.144000    0.310256
         0.333456    0.379711    0.406287


 k=(    0.333333    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190662    0.071768    0.120079    0.158743    0.294273
         0.342522    0.365721    0.389313


 k=(    0.222222    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207432    0.108615    0.161575    0.166256    0.285662
         0.333162    0.358179    0.385018


 k=(    0.111111    0.111111    0.222222):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213043    0.121784    0.157146    0.195707    0.312774
         0.317129    0.322974    0.399145


 k=(    0.000000    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207136    0.100939    0.165595    0.170637    0.287360
         0.334453    0.358971    0.384559


 k=(   -0.111111    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190060    0.064034    0.120845    0.167630    0.291979
         0.343828    0.370072    0.388810


 k=(   -0.222222    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163481    0.011448    0.098809    0.150328    0.303953
         0.338473    0.382773    0.408167


 k=(   -0.333333    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135115   -0.033524    0.092176    0.136540    0.307377
         0.324838    0.404002    0.447931


 k=(    0.555556    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135828   -0.031835    0.092954    0.134153    0.312526
         0.320116    0.404984    0.441955


 k=(    0.444444    0.000000    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148461   -0.005369    0.092563    0.132447    0.269485
         0.357157    0.396462    0.410172


 k=(    0.333333    0.000000    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177115    0.047734    0.118891    0.136062    0.261448
         0.321909    0.405098    0.417353


 k=(    0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197518    0.094043    0.143555    0.148530    0.254437
         0.336156    0.397228    0.397871


 k=(    0.111111    0.000000    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207107    0.100180    0.165162    0.172169    0.287121
         0.333554    0.359990    0.384991


 k=(    0.000000    0.000000    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205252    0.077742    0.179183    0.188601    0.283565
         0.328418    0.336848    0.435088


 k=(   -0.111111    0.000000    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192075    0.052984    0.133767    0.187444    0.305131
         0.332348    0.347760    0.425545


 k=(   -0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168603    0.022149    0.085418    0.171324    0.306959
         0.361221    0.376654    0.417547


 k=(   -0.333333    0.000000    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138984   -0.020978    0.069508    0.152122    0.288610
         0.381218    0.386885    0.467507


 k=(    0.555556    0.000000    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124753   -0.040089    0.074716    0.138137    0.274946
         0.386089    0.395848    0.430784


 k=(    0.444444   -0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123567   -0.027820    0.067694    0.112882    0.289856
         0.347367    0.389882    0.476986


 k=(    0.333333   -0.111111    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153316    0.010254    0.094749    0.121786    0.272672
         0.310392    0.405347    0.466203


 k=(    0.222222   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176724    0.043271    0.128821    0.131434    0.258504
         0.322792    0.407563    0.422292


 k=(    0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189931    0.062400    0.121385    0.169152    0.291682
         0.343831    0.370943    0.388690


 k=(    0.000000   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.191988    0.052294    0.133235    0.189232    0.305470
         0.330636    0.348713    0.425962


 k=(   -0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182815    0.030216    0.151201    0.157566    0.291169
         0.330132    0.371984    0.403299


 k=(   -0.222222   -0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163041    0.009011    0.100947    0.149999    0.306635
         0.338017    0.380636    0.410278


 k=(   -0.333333   -0.111111    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134922   -0.017114    0.062569    0.131518    0.319007
         0.352541    0.383699    0.457112


 k=(   -0.444444   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109867   -0.044125    0.054571    0.116628    0.300793
         0.370371    0.427443    0.444635


 k=(    0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.094148   -0.053997    0.059720    0.084788    0.343905
         0.354258    0.374566    0.437306


 k=(    0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123225   -0.029806    0.075069    0.106977    0.285592
         0.352506    0.388550    0.485129


 k=(    0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147595   -0.009678    0.101760    0.127355    0.264368
         0.360929    0.398096    0.417170


 k=(    0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163096    0.009572    0.099092    0.151842    0.304560
         0.339874    0.381626    0.407855


 k=(    0.000000   -0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168318    0.020508    0.085752    0.172720    0.308432
         0.359666    0.377538    0.416946


 k=(   -0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162875    0.008380    0.100134    0.151661    0.305940
         0.339617    0.380580    0.408913


 k=(   -0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147123   -0.011326    0.102044    0.128258    0.265620
         0.359573    0.398734    0.417604


 k=(   -0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122445   -0.031656    0.074832    0.108409    0.286660
         0.351268    0.389671    0.484812


 k=(   -0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.093151   -0.055462    0.059530    0.085498    0.344610
         0.353929    0.375026    0.436425


 k=(    0.444444    0.666667    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.096615   -0.050306    0.061324    0.081786    0.347245
         0.349107    0.373877    0.439890


 k=(    0.333333    0.666667    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.111003   -0.043223    0.060638    0.110286    0.295923
         0.373970    0.425179    0.448588


 k=(   -0.222222    0.333333   -0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124092   -0.042565    0.081789    0.132688    0.269671
         0.390342    0.403805    0.431503


 k=(    0.111111   -0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134096   -0.035913    0.092091    0.138144    0.308086
         0.326456    0.403414    0.446731


 k=(    0.000000   -0.333333    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138217   -0.023189    0.069994    0.153165    0.290051
         0.381402    0.387016    0.466879


 k=(   -0.111111   -0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134398   -0.018644    0.062630    0.132613    0.320691
         0.351619    0.383719    0.457000


 k=(   -0.222222   -0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122166   -0.032230    0.074085    0.109618    0.286422
         0.351297    0.390894    0.483560


 k=(   -0.333333   -0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103189   -0.051145    0.063630    0.115932    0.248598
         0.340468    0.473305    0.474329


 k=(   -0.444444   -0.333333    0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.087419   -0.062590    0.060015    0.094615    0.279535
         0.341077    0.448522    0.458583


 k=(    0.444444    0.555556    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125619   -0.022709    0.068680    0.108387    0.287291
         0.350084    0.386988    0.477856


 k=(    0.333333    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136947   -0.010966    0.062871    0.126303    0.314061
         0.354132    0.384188    0.458110


 k=(    0.222222    0.555556    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139908   -0.019434    0.073813    0.146161    0.283477
         0.387349    0.391636    0.465166


 k=(    0.111111    0.555556    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134851   -0.034167    0.092737    0.135862    0.312800
         0.322186    0.404465    0.440685


 k=(    0.000000    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.123573   -0.042555    0.075107    0.138980    0.276311
         0.386926    0.395738    0.429469


 k=(    0.111111    0.444444   -0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108672   -0.046350    0.054975    0.117220    0.302238
         0.370166    0.425578    0.444579


 k=(    0.222222    0.444444   -0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.092245   -0.056730    0.059156    0.086266    0.344654
         0.354550    0.375235    0.435431


 k=(    0.333333    0.444444   -0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.087520   -0.062451    0.059967    0.094615    0.279546
         0.341111    0.447989    0.458976


 k=(    0.555556    0.555556    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107273   -0.043338    0.059306    0.116251    0.248979
         0.340439    0.465700    0.471688


 k=(    0.444444    0.444444    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133965   -0.013123    0.091689    0.112436    0.242313
         0.282553    0.478357    0.479609


 k=(    0.333333    0.444444    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153962    0.013578    0.095020    0.117984    0.273928
         0.310355    0.401439    0.466415


 k=(    0.222222    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163954    0.013318    0.101748    0.144422    0.309846
         0.333670    0.379817    0.409434


 k=(    0.111111    0.444444    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163557   -0.006657    0.128474    0.163340    0.291734
         0.336920    0.349308    0.472868


 k=(    0.000000    0.444444    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153234   -0.024248    0.131539    0.154970    0.287247
         0.333237    0.353593    0.450162


 k=(   -0.111111    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134345   -0.034884    0.088553    0.141139    0.309753
         0.328291    0.399158    0.441074


 k=(   -0.222222    0.444444    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109392   -0.045285    0.055939    0.115931    0.299234
         0.373711    0.426716    0.444049


 k=(    0.666667    0.444444    0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.085013   -0.065335    0.058133    0.096859    0.281647
         0.339114    0.447590    0.458852


 k=(    0.555556    0.444444    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105867   -0.045473    0.085103    0.091185    0.267915
         0.278179    0.465172    0.535563


 k=(    0.444444    0.333333    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154184    0.014826    0.094831    0.116855    0.274321
         0.310367    0.400080    0.466706


 k=(    0.333333    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177438    0.050847    0.119082    0.132673    0.260201
         0.323817    0.404234    0.414963


 k=(    0.222222    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190538    0.069950    0.120442    0.160627    0.293815
         0.343155    0.366183    0.388870


 k=(    0.111111    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192524    0.056711    0.136148    0.179342    0.303750
         0.338630    0.342818    0.425291


 k=(    0.000000    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183308    0.033764    0.146475    0.158205    0.291892
         0.336170    0.363793    0.398015


 k=(   -0.111111    0.333333    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163525    0.012148    0.096724    0.151477    0.307621
         0.340979    0.378533    0.401416


 k=(   -0.222222    0.333333    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135475   -0.015393    0.062341    0.130388    0.317514
         0.352834    0.384151    0.457789


 k=(   -0.333333    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110837   -0.042924    0.057547    0.112982    0.299870
         0.367882    0.425662    0.447995


 k=(    0.555556    0.333333    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.124654   -0.025679    0.071768    0.106996    0.289837
         0.348725    0.384478    0.483080


 k=(    0.444444    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164341    0.015434    0.100861    0.143312    0.309843
         0.332722    0.380353    0.408036


 k=(    0.333333    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190659    0.071675    0.120171    0.158780    0.294302
         0.342570    0.365583    0.389200


 k=(    0.222222    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207456    0.109357    0.162559    0.164315    0.285927
         0.334092    0.356952    0.384361


 k=(    0.111111    0.222222    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213097    0.123805    0.156560    0.193645    0.312082
         0.318933    0.321866    0.399000


 k=(    0.000000    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207222    0.103162    0.163583    0.170046    0.287202
         0.335035    0.357772    0.384134


 k=(   -0.111111    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190184    0.065645    0.120280    0.166232    0.292308
         0.343714    0.369133    0.388843


 k=(   -0.222222    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163645    0.012108    0.099590    0.148670    0.304609
         0.336847    0.382892    0.409575


 k=(   -0.333333    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135279   -0.033279    0.093603    0.134790    0.308053
         0.323021    0.405955    0.447795


 k=(    0.555556    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135840   -0.031964    0.094409    0.132726    0.312952
         0.318483    0.406823    0.442854


 k=(    0.444444    0.111111    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.164094   -0.004657    0.128359    0.161826    0.290866
         0.335936    0.349020    0.473621


 k=(    0.333333    0.111111    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192717    0.058621    0.135848    0.177478    0.302885
         0.339512    0.341355    0.425857


 k=(    0.222222    0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213150    0.125776    0.156343    0.191246    0.312132
         0.320051    0.320758    0.398808


 k=(    0.111111    0.111111    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222684    0.162995    0.191033    0.196226    0.293749
         0.311784    0.315371    0.365316


 k=(    0.000000    0.111111    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220647    0.163577    0.176761    0.187264    0.283109
         0.331963    0.335725    0.356947


 k=(   -0.111111    0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207152    0.101569    0.159982    0.176470    0.285395
         0.330992    0.362783    0.386983


 k=(   -0.222222    0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183293    0.033440    0.148897    0.157035    0.288995
         0.328882    0.371070    0.405582


 k=(   -0.333333    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153673   -0.023237    0.140149    0.145904    0.283969
         0.326670    0.361999    0.457095


 k=(    0.555556    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140535   -0.042905    0.130210    0.150430    0.283956
         0.328007    0.353076    0.504344


 k=(    0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153920   -0.022244    0.131002    0.154288    0.286264
         0.331695    0.353685    0.451364


 k=(    0.333333    0.000000    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183537    0.035342    0.145587    0.157767    0.290886
         0.335100    0.363611    0.399129


 k=(    0.222222    0.000000    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207280    0.104601    0.162303    0.169819    0.286859
         0.334656    0.357645    0.384141


 k=(    0.111111    0.000000    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220645    0.162490    0.178784    0.186434    0.283068
         0.332584    0.334987    0.356888


 k=(    0.000000    0.000000    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222551    0.152073    0.194847    0.205397    0.299404
         0.308613    0.314664    0.362755


 k=(   -0.111111    0.000000    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212880    0.117065    0.156861    0.202952    0.309998
         0.317426    0.325257    0.399502


 k=(   -0.222222    0.000000    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192301    0.055435    0.131287    0.188138    0.303768
         0.329556    0.347911    0.427258


 k=(   -0.333333    0.000000    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163563   -0.006151    0.121909    0.171490    0.292382
         0.335051    0.345054    0.474844


 k=(   -0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140251   -0.043219    0.122420    0.159331    0.286068
         0.331801    0.344748    0.503679


 k=(    0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135163   -0.032796    0.087321    0.141263    0.308397
         0.328378    0.397786    0.442426


 k=(    0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163726    0.013297    0.095722    0.151699    0.306275
         0.341232    0.379627    0.400137


 k=(    0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190179    0.065519    0.120390    0.166310    0.292347
         0.343768    0.368943    0.388644


 k=(    0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207089    0.099978    0.161277    0.176985    0.285788
         0.331220    0.362818    0.386721


 k=(    0.000000   -0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212824    0.115324    0.157466    0.204799    0.310055
         0.316443    0.326205    0.399525


 k=(   -0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207027    0.098482    0.162649    0.177280    0.286204
         0.331526    0.362826    0.386492


 k=(   -0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190052    0.063844    0.121006    0.167761    0.292036
         0.343910    0.369781    0.388486


 k=(   -0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163539    0.012325    0.095851    0.152730    0.305216
         0.342108    0.380197    0.400434


 k=(   -0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135010   -0.033171    0.087299    0.141636    0.307707
         0.329003    0.397654    0.443481


 k=(   -0.444444    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110215   -0.043593    0.055035    0.115994    0.299269
         0.372170    0.428160    0.444184


 k=(   -0.333333    0.222222   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135455   -0.015480    0.062405    0.130419    0.317380
         0.353226    0.383847    0.457520


 k=(   -0.222222    0.222222   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163424    0.010862    0.100688    0.148522    0.305908
         0.336650    0.381801    0.410628


 k=(   -0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183054    0.031810    0.149800    0.157595    0.290040
         0.329433    0.371613    0.404440


 k=(    0.000000    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192102    0.053495    0.132021    0.189594    0.304755
         0.329219    0.348818    0.426846


 k=(    0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189928    0.062332    0.121440    0.169203    0.291702
         0.343860    0.370838    0.388566


 k=(    0.222222    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176604    0.042167    0.129303    0.132093    0.259076
         0.321956    0.408197    0.422721


 k=(   -0.333333   -0.222222    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153076    0.008973    0.095233    0.122648    0.272424
         0.310229    0.406675    0.466093


 k=(   -0.444444   -0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123287   -0.028681    0.068471    0.112873    0.288353
         0.348807    0.390904    0.477040


 k=(    0.555556    0.333333   -0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.084880   -0.065505    0.058179    0.096862    0.281635
         0.339082    0.448096    0.458487


 k=(   -0.333333    0.333333   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109963   -0.044749    0.058555    0.112935    0.299741
         0.369494    0.424132    0.448280


 k=(   -0.222222    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134430   -0.035422    0.094931    0.134666    0.309496
         0.322790    0.407252    0.446450


 k=(   -0.111111    0.333333   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152967   -0.025275    0.139960    0.147397    0.284959
         0.327547    0.362488    0.455916


 k=(    0.000000    0.333333   -0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163015   -0.008179    0.122420    0.172588    0.293285
         0.336249    0.345126    0.474881


 k=(    0.111111    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163145    0.010234    0.096918    0.153579    0.305477
         0.342680    0.379673    0.402086


 k=(    0.222222    0.333333   -0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152850    0.007838    0.095495    0.123567    0.272081
         0.310209    0.407944    0.466201


 k=(    0.333333    0.333333   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132475   -0.018217    0.096542    0.112137    0.241322
         0.282290    0.481735    0.486956


 k=(    0.444444    0.333333   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103905   -0.048994    0.084494    0.093828    0.266425
         0.279049    0.470734    0.536280


 k=(    0.444444    0.555556    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105474   -0.046201    0.085104    0.091618    0.267608
         0.278354    0.466346    0.535785


 k=(    0.333333    0.555556    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123954   -0.027655    0.072988    0.107177    0.289631
         0.348997    0.385295    0.484149


 k=(    0.222222    0.555556    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134868   -0.034429    0.095587    0.133071    0.313379
         0.319206    0.408009    0.442586


 k=(    0.111111    0.555556    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139371   -0.045422    0.130208    0.151791    0.284869
         0.328972    0.353441    0.505317


 k=(    0.000000    0.444444   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139081   -0.045742    0.122862    0.160195    0.286992
         0.333682    0.344232    0.504561


 k=(    0.111111    0.444444   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134026   -0.035638    0.088490    0.141900    0.308331
         0.329566    0.398835    0.443288


 k=(    0.222222    0.444444   -0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122575   -0.030590    0.069571    0.113063    0.288208
         0.349088    0.391632    0.478199


 k=(    0.333333    0.444444   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103504   -0.049690    0.084495    0.094206    0.266139
         0.279235    0.471804    0.536222


 k=(    0.444444    0.444444   -0.111111):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.082576   -0.073238    0.084195    0.105421    0.236024
         0.268058    0.540735    0.551822


 k=(    0.444444    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.108811   -0.046953    0.104085    0.106164    0.228714
         0.243582    0.544760    0.544922


 k=(    0.333333    0.444444    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132949   -0.016432    0.092452    0.114499    0.243349
         0.280855    0.478920    0.485051


 k=(    0.222222    0.444444    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147834   -0.008180    0.096196    0.131337    0.267955
         0.358389    0.396533    0.413803


 k=(    0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153118   -0.024694    0.134005    0.152936    0.286286
         0.330061    0.358104    0.452365


 k=(    0.000000    0.444444    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.149636   -0.040270    0.158548    0.169602    0.261338
         0.324298    0.337392    0.491002


 k=(   -0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139196   -0.045612    0.125175    0.157520    0.286062
         0.330572    0.349195    0.504764


 k=(    0.222222    0.555556    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.123754   -0.042612    0.077516    0.136862    0.273348
         0.388057    0.399761    0.429887


 k=(    0.333333    0.555556    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103731   -0.049622    0.060126    0.118356    0.250897
         0.338497    0.468006    0.474283


 k=(    0.555556    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.079707   -0.076170    0.082127    0.107525    0.238142
         0.266012    0.539618    0.551498


 k=(    0.444444    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133251   -0.015394    0.091473    0.114557    0.243553
         0.280892    0.477959    0.483860


 k=(    0.333333    0.333333    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159763    0.022047    0.117957    0.120293    0.233696
         0.280191    0.469387    0.469711


 k=(    0.222222    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176884    0.045093    0.122741    0.135240    0.260543
         0.321852    0.405856    0.420129


 k=(    0.111111    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183200    0.032890    0.148150    0.157764    0.291171
         0.332786    0.367583    0.400500


 k=(    0.000000    0.333333    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178492    0.010371    0.165020    0.176112    0.268754
         0.329258    0.341963    0.491053


 k=(   -0.111111    0.333333    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163237   -0.007526    0.124298    0.169449    0.292537
         0.336007    0.347386    0.472820


 k=(   -0.222222    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138909   -0.021608    0.071192    0.150741    0.287038
         0.383657    0.389294    0.465445


 k=(   -0.333333    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.110247   -0.042467    0.046973    0.131318    0.265263
         0.417050    0.440397    0.461407


 k=(    0.555556    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104602   -0.047998    0.059255    0.118421    0.250973
         0.338477    0.466573    0.473703


 k=(    0.444444    0.222222    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148365   -0.005998    0.094201    0.131532    0.268073
         0.358455    0.395997    0.411946


 k=(    0.333333    0.222222    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177052    0.046863    0.120729    0.135302    0.260759
         0.322201    0.405010    0.418650


 k=(    0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197514    0.093823    0.144641    0.147719    0.254482
         0.336022    0.397380    0.397607


 k=(    0.111111    0.222222    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207165    0.101583    0.163557    0.172294    0.286732
         0.333155    0.359928    0.385068


 k=(    0.000000    0.222222    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205377    0.079451    0.177335    0.188797    0.282515
         0.326951    0.337397    0.435840


 k=(   -0.111111    0.222222    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192275    0.054911    0.133023    0.186056    0.304041
         0.332471    0.347134    0.425966


 k=(   -0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168886    0.023848    0.085018    0.169954    0.305409
         0.362896    0.375768    0.418153


 k=(   -0.333333    0.222222    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139324   -0.020177    0.070088    0.150920    0.287076
         0.382231    0.388168    0.466730


 k=(    0.555556    0.222222    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124846   -0.040113    0.075910    0.137088    0.273441
         0.386684    0.397892    0.430942


 k=(    0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153865   -0.022466    0.132202    0.153303    0.285776
         0.330090    0.355980    0.452443


 k=(    0.333333    0.111111    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183484    0.034899    0.146450    0.157521    0.290522
         0.333384    0.365559    0.400359


 k=(    0.222222    0.111111    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207252    0.103778    0.162515    0.170733    0.286627
         0.333671    0.358784    0.384644


 k=(    0.111111    0.111111    0.000000):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220645    0.161928    0.180116    0.185729    0.283044
         0.333357    0.334143    0.356853


 k=(    0.000000    0.111111    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222578    0.154112    0.192584    0.205309    0.297998
         0.308243    0.316002    0.363265


 k=(   -0.111111    0.111111    0.000000):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212935    0.118959    0.156049    0.201202    0.309630
         0.318889    0.324116    0.399460


 k=(   -0.222222    0.111111    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192387    0.056162    0.131758    0.186388    0.303394
         0.331112    0.347160    0.426794


 k=(   -0.333333    0.111111    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163673   -0.005822    0.122831    0.169937    0.291997
         0.334878    0.346244    0.473820


 k=(   -0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140307   -0.043155    0.123553    0.158017    0.285594
         0.330264    0.347224    0.503743


 k=(   -0.444444    0.000000    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.150595   -0.037986    0.157588    0.169434    0.260580
         0.323069    0.336767    0.490123


 k=(   -0.333333    0.000000    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178866    0.012149    0.163959    0.175861    0.267931
         0.328054    0.341367    0.491123


 k=(   -0.222222    0.000000    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205502    0.081188    0.176028    0.188365    0.281542
         0.326170    0.337250    0.436589


 k=(   -0.111111    0.000000    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222604    0.156268    0.190780    0.204597    0.296719
         0.308458    0.316681    0.363765


 k=(    0.000000    0.000000    0.000000):       259 3-d basis functions
 the   8 eigenvalues are:
        -0.228429    0.198311    0.203902    0.215994    0.293994
         0.300756    0.304268    0.321011


 fermi energy and band-weighting factors:

FERMIE:
          first approx. to ef    (T=0)  :  0.215994 htr   (energy of the highest occ. eigenvalue)
          number of occ. states  (T=0)  :      1460
          first approx. to seigv (T=0)  :  0.176446 htr
          sum of weights of occ. states :  4.000000
          sum of semicore eigenvalues   :  0.000000 htr
          sum of semicore charge        :  0.000000 e



FERHIS:  Fermi-Energy by histogram:

          bandgap                     :   0.012007 htr
          charge neutrality (T=0)     :   0.000000    (zero if the highest occ. eigenvalue is "entirely" occupied)

     EF_NEWTON:  Adjust Fermi-Energy by Newton-Method.

               Number of iterations needed  :   4
               The error in the weight is   :  0.81920E-14
               The error in ef is           : -0.58842E-12 htr


     -->  new fermi energy            :   0.221269 htr
          valence charge              :   8.000000 e 
          actual charge blw ef-8kt    :   7.997257 e 
          actual charge blw ef+8kt    :   8.000000 e 
          number of occ. states       :      1463
          sum of the valence weights  :   4.000000
          entropy         :   0.000200 *kb htr/K =   0.00000 htr/K

          sum of val. single particle energies:         0.1764462818 htr



          valence density: spin= 1

     l-like charge
     atom     s        p        d        f        total
 --> 1    0.89050  1.17094  0.08212  0.00603    2.15119
 --> 2    0.89050  1.17094  0.08212  0.00603    2.15119
 Energy Parameters for spin:           1
 Max. mismatch of energy parameters:    0.000000

     energy parameters for window 1
     atom     s        p        d        f
 -->  1   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0
 -->  2   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0

          total charge for spin  1=    8.000000
          interst. charge =       3.697628
          mt charge=              2.151186    2.151186

          total charge  =    8.000000


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.2037        2.
               2.   0.   0.5   -4.7107        2.
               2.   1.   0.5   -3.1110        2.
               2.   1.   1.5   -3.0872        4.
          atom type  1  (spin 1) 
          kinetic energy=  0.285372365584E+03     sum of the eigenvalues= -0.158399795218E+03
          0.00178912  electrons lost from core.


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.2037        2.
               2.   0.   0.5   -4.7107        2.
               2.   1.   0.5   -3.1110        2.
               2.   1.   1.5   -3.0872        4.
          atom type  2  (spin 1) 
          kinetic energy=  0.285372365596E+03     sum of the eigenvalues= -0.158399795282E+03
          0.00178912  electrons lost from core.

          alpha=   1.39394     acoff=   0.09674

          alpha=   1.39394     acoff=   0.09674

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*



     t o t a l  e n e r g y

          sum of eigenvalues =              -316.6231442179

          density-coulomb potential int     -844.4026101178

          density-effective potential i     -898.3127842195

          charge density-ex.-corr.energ      -41.7445141056
 
 FORCES: EQUATION A3 FOR ATOM TYPE   1
 FX_A3= -0.013532  0.000000 FY_A3= -0.008921  0.000000 FZ_A3= -0.004206  0.000000
 FORCES: EQUATION A3 FOR ATOM TYPE   2
 FX_A3=  0.013532  0.000000 FY_A3=  0.008921  0.000000 FZ_A3=  0.004206  0.000000

          el.-nucl. inter. diff. m.t.        342.2718666174

          Madelung term for atom type:        -6.6358159923

          el.-nucl. inter. diff. m.t.        342.2718665401

          Madelung term for atom type:        -6.6358160215


 ----> total energy=                        -580.0715443342 htr

 ***** TOTAL FORCES ON ATOMS ***** 

 TOTAL FORCE FOR ATOM TYPE=  1  X=  1.292   Y=  1.292   Z=  1.292
                       FX_TOT=-0.013532 FY_TOT=-0.008921 FZ_TOT=-0.004206
 TOTAL FORCE FOR ATOM TYPE=  2  X= -1.369   Y= -1.344   Z= -1.318
                       FX_TOT= 0.013532 FY_TOT= 0.008921 FZ_TOT= 0.004206
eps_force= 0.00001max= 0.00000


 ---->(tkb*entropy) TS=                        0.0000001998 htr


 ----> free energy=                         -580.0715445339 htr


      extrapolation for T->0
 ----> total electron energy=               -580.0715444341 htr
 wrtdop title:alpha Si                                                                ordered*
 wrtdop title:alpha Si                                                                ordered*
     <vi|w|Fm> for it 2       0.000000
     <vi|w|Fm> for it 3       0.000000
     <vi|w|Fm> for it 4       0.000000
     <vi|w|Fm> for it 5       0.000001
     <vi|w|Fm> for it 6       0.000002
     <vi|w|Fm> for it 7      -0.000005
     <vi|w|Fm> for it 8       0.000001
     <vi|w|Fm> for it 9      -0.000031
     <vi|w|Fm> for it10       0.000738
     <vi|w|Fm> for it11       0.007509
     <vi|w|Fm> for it12       0.015690
     <vi|w|Fm> for it13       0.004582
     <vi|w|Fm> for it14       0.013618
     <vi|w|Fm> for it15       0.054819
     <vi|w|Fm> for it16      -0.018516
     <vi|w|Fm> for it17       3.263293
     <vi|w|Fm> for it18       0.363804

----> distance of charge densities for spin  1        it= 19:   0.000000 me/bohr**3

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*

     ******* it= 19  is completed********



             it=       20

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*


          p o t e n t i a l   g e n e r a t o r


          multipole moments for atom type=    1

  l   m                   original                      plane wave
  0   0          -0.52203E+00    0.00000E+00         0.77848E+00   -0.18929E-14
  1   0           0.16734E-02    0.00000E+00         0.14127E-02   -0.10795E-14
  1   1          -0.49363E-02    0.31538E-02        -0.40563E-02    0.25988E-02
  1  -1           0.49363E-02    0.31538E-02         0.40563E-02    0.25988E-02
  1   1          -0.49363E-02    0.31538E-02        -0.40563E-02    0.25988E-02
  1  -1           0.49363E-02    0.31538E-02         0.40563E-02    0.25988E-02
  2   0           0.52203E-03    0.00000E+00         0.49875E-03   -0.66451E-17
  2   1           0.12346E-01   -0.18690E-01         0.11743E-01   -0.17751E-01
  2  -1          -0.12346E-01   -0.18690E-01        -0.11743E-01   -0.17751E-01
  2   2          -0.29032E-03    0.58685E-02        -0.27746E-03    0.56344E-02
  2  -2          -0.29032E-03   -0.58685E-02        -0.27746E-03   -0.56344E-02
  2   1           0.12346E-01   -0.18690E-01         0.11743E-01   -0.17751E-01
  2  -1          -0.12346E-01   -0.18690E-01        -0.11743E-01   -0.17751E-01
  2   2          -0.29032E-03    0.58685E-02        -0.27746E-03    0.56344E-02
  2  -2          -0.29032E-03   -0.58685E-02        -0.27746E-03   -0.56344E-02
  3   0          -0.84953E-02    0.00000E+00        -0.82483E-02   -0.12204E-14
  3   1          -0.10736E-01    0.72030E-02        -0.10356E-01    0.69547E-02
  3  -1           0.10736E-01    0.72030E-02         0.10356E-01    0.69547E-02
  3   2          -0.55444E-05    0.46967E+00        -0.47340E-05    0.46256E+00
  3  -2          -0.55444E-05   -0.46967E+00        -0.47340E-05   -0.46256E+00
  3   3           0.13842E-01    0.92682E-02         0.13355E-01    0.89520E-02
  3  -3          -0.13842E-01    0.92682E-02        -0.13355E-01    0.89520E-02
  3   1          -0.10736E-01    0.72030E-02        -0.10356E-01    0.69547E-02
  3  -1           0.10736E-01    0.72030E-02         0.10356E-01    0.69547E-02
  3   2          -0.55444E-05    0.46967E+00        -0.47340E-05    0.46256E+00
  3  -2          -0.55444E-05   -0.46967E+00        -0.47340E-05   -0.46256E+00
  3   3           0.13842E-01    0.92682E-02         0.13355E-01    0.89520E-02
  3  -3          -0.13842E-01    0.92682E-02        -0.13355E-01    0.89520E-02
  4   0          -0.27309E+00    0.00000E+00        -0.26912E+00    0.10004E-14
  4   1           0.34670E-03   -0.37978E-03         0.41295E-03   -0.48739E-03
  4  -1          -0.34670E-03   -0.37978E-03        -0.41295E-03   -0.48739E-03
  4   2          -0.31491E-03   -0.10924E-02        -0.30581E-03   -0.11522E-02
  4  -2          -0.31491E-03    0.10924E-02        -0.30581E-03    0.11522E-02
  4   3           0.83823E-03    0.95989E-03         0.10181E-02    0.12472E-02
  4  -3          -0.83823E-03    0.95989E-03        -0.10181E-02    0.12472E-02
  4   4          -0.16268E+00   -0.84935E-05        -0.16032E+00   -0.79850E-05
  4  -4          -0.16268E+00    0.84935E-05        -0.16032E+00    0.79850E-05
  4   1           0.34670E-03   -0.37978E-03         0.41295E-03   -0.48739E-03
  4  -1          -0.34670E-03   -0.37978E-03        -0.41295E-03   -0.48739E-03
  4   2          -0.31491E-03   -0.10924E-02        -0.30581E-03   -0.11522E-02
  4  -2          -0.31491E-03    0.10924E-02        -0.30581E-03    0.11522E-02
  4   3           0.83823E-03    0.95989E-03         0.10181E-02    0.12472E-02
  4  -3          -0.83823E-03    0.95989E-03        -0.10181E-02    0.12472E-02
  4   4          -0.16268E+00   -0.84935E-05        -0.16032E+00   -0.79850E-05
  4  -4          -0.16268E+00    0.84935E-05        -0.16032E+00    0.79850E-05
  5   0           0.53228E-02    0.00000E+00         0.52640E-02   -0.63448E-15
  5   1           0.43744E-02   -0.27155E-02         0.42149E-02   -0.26121E-02
  5  -1          -0.43744E-02   -0.27155E-02        -0.42149E-02   -0.26121E-02
  5   2           0.77404E-05    0.61510E-03         0.76072E-05    0.60126E-03
  5  -2           0.77404E-05   -0.61510E-03         0.76072E-05   -0.60126E-03
  5   3           0.17820E-01    0.11793E-01         0.17488E-01    0.11572E-01
  5  -3          -0.17820E-01    0.11793E-01        -0.17488E-01    0.11572E-01
  5   4          -0.46735E-02   -0.48302E-03        -0.45591E-02   -0.47202E-03
  5  -4          -0.46735E-02    0.48302E-03        -0.45591E-02    0.47202E-03
  5   5          -0.37256E-02    0.26169E-02        -0.37317E-02    0.26183E-02
  5  -5           0.37256E-02    0.26169E-02         0.37317E-02    0.26183E-02
  5   1           0.43744E-02   -0.27155E-02         0.42149E-02   -0.26121E-02
  5  -1          -0.43744E-02   -0.27155E-02        -0.42149E-02   -0.26121E-02
  5   2           0.77404E-05    0.61510E-03         0.76072E-05    0.60126E-03
  5  -2           0.77404E-05   -0.61510E-03         0.76072E-05   -0.60126E-03
  5   3           0.17820E-01    0.11793E-01         0.17488E-01    0.11572E-01
  5  -3          -0.17820E-01    0.11793E-01        -0.17488E-01    0.11572E-01
  5   4          -0.46735E-02   -0.48302E-03        -0.45591E-02   -0.47202E-03
  5  -4          -0.46735E-02    0.48302E-03        -0.45591E-02    0.47202E-03
  5   5          -0.37256E-02    0.26169E-02        -0.37317E-02    0.26183E-02
  5  -5           0.37256E-02    0.26169E-02         0.37317E-02    0.26183E-02
  6   0           0.10281E+00    0.00000E+00         0.10175E+00    0.12532E-14
  6   1          -0.64039E-02    0.97175E-02        -0.63488E-02    0.96355E-02
  6  -1           0.64039E-02    0.97175E-02         0.63488E-02    0.96355E-02
  6   2           0.11842E-03   -0.60791E-02         0.11734E-03   -0.60171E-02
  6  -2           0.11842E-03    0.60791E-02         0.11734E-03    0.60171E-02
  6   3          -0.42897E-02   -0.62277E-02        -0.42488E-02   -0.61690E-02
  6  -3           0.42897E-02   -0.62277E-02         0.42488E-02   -0.61690E-02
  6   4          -0.19311E+00   -0.54792E-05        -0.19113E+00   -0.55819E-05
  6  -4          -0.19311E+00    0.54792E-05        -0.19113E+00    0.55819E-05
  6   5          -0.97093E-02    0.14433E-01        -0.96202E-02    0.14304E-01
  6  -5           0.97093E-02    0.14433E-01         0.96202E-02    0.14304E-01
  6   6           0.17606E-03   -0.20776E-02         0.17447E-03   -0.20575E-02
  6  -6           0.17606E-03    0.20776E-02         0.17447E-03    0.20575E-02
  6   1          -0.64039E-02    0.97175E-02        -0.63488E-02    0.96355E-02
  6  -1           0.64039E-02    0.97175E-02         0.63488E-02    0.96355E-02
  6   2           0.11842E-03   -0.60791E-02         0.11734E-03   -0.60171E-02
  6  -2           0.11842E-03    0.60791E-02         0.11734E-03    0.60171E-02
  6   3          -0.42897E-02   -0.62277E-02        -0.42488E-02   -0.61690E-02
  6  -3           0.42897E-02   -0.62277E-02         0.42488E-02   -0.61690E-02
  6   4          -0.19311E+00   -0.54792E-05        -0.19113E+00   -0.55819E-05
  6  -4          -0.19311E+00    0.54792E-05        -0.19113E+00    0.55819E-05
  6   5          -0.97093E-02    0.14433E-01        -0.96202E-02    0.14304E-01
  6  -5           0.97093E-02    0.14433E-01         0.96202E-02    0.14304E-01
  6   6           0.17606E-03   -0.20776E-02         0.17447E-03   -0.20575E-02
  6  -6           0.17606E-03    0.20776E-02         0.17447E-03    0.20575E-02
  7   0           0.24636E-02    0.00000E+00         0.24471E-02    0.50182E-14
  7   1           0.51584E-02   -0.35463E-02         0.51444E-02   -0.35370E-02
  7  -1          -0.51584E-02   -0.35463E-02        -0.51444E-02   -0.35370E-02
  7   2           0.24198E-05   -0.12873E+00         0.24105E-05   -0.12878E+00
  7  -2           0.24198E-05    0.12873E+00         0.24105E-05    0.12878E+00
  7   3          -0.12548E-02   -0.85873E-03        -0.12390E-02   -0.84835E-03
  7  -3           0.12548E-02   -0.85873E-03         0.12390E-02   -0.84835E-03
  7   4           0.24426E-02   -0.36118E-03         0.24431E-02   -0.36207E-03
  7  -4           0.24426E-02    0.36118E-03         0.24431E-02    0.36207E-03
  7   5          -0.27215E-02    0.18617E-02        -0.27404E-02    0.18744E-02
  7  -5           0.27215E-02    0.18617E-02         0.27404E-02    0.18744E-02
  7   6           0.43108E-05   -0.11780E+00         0.42436E-05   -0.11784E+00
  7  -6           0.43108E-05    0.11780E+00         0.42436E-05    0.11784E+00
  7   7          -0.47002E-02   -0.32247E-02        -0.46773E-02   -0.32095E-02
  7  -7           0.47002E-02   -0.32247E-02         0.46773E-02   -0.32095E-02
  7   1           0.51584E-02   -0.35463E-02         0.51444E-02   -0.35370E-02
  7  -1          -0.51584E-02   -0.35463E-02        -0.51444E-02   -0.35370E-02
  7   2           0.24198E-05   -0.12873E+00         0.24105E-05   -0.12878E+00
  7  -2           0.24198E-05    0.12873E+00         0.24105E-05    0.12878E+00
  7   3          -0.12548E-02   -0.85873E-03        -0.12390E-02   -0.84835E-03
  7  -3           0.12548E-02   -0.85873E-03         0.12390E-02   -0.84835E-03
  7   4           0.24426E-02   -0.36118E-03         0.24431E-02   -0.36207E-03
  7  -4           0.24426E-02    0.36118E-03         0.24431E-02    0.36207E-03
  7   5          -0.27215E-02    0.18617E-02        -0.27404E-02    0.18744E-02
  7  -5           0.27215E-02    0.18617E-02         0.27404E-02    0.18744E-02
  7   6           0.43108E-05   -0.11780E+00         0.42436E-05   -0.11784E+00
  7  -6           0.43108E-05    0.11780E+00         0.42436E-05    0.11784E+00
  7   7          -0.47002E-02   -0.32247E-02        -0.46773E-02   -0.32095E-02
  7  -7           0.47002E-02   -0.32247E-02         0.46773E-02   -0.32095E-02
  8   0           0.52642E-01    0.00000E+00         0.56887E-01   -0.10339E-14
  8   1           0.59093E-03   -0.93583E-03         0.52886E-03   -0.83506E-03
  8  -1          -0.59093E-03   -0.93583E-03        -0.52886E-03   -0.83506E-03
  8   2           0.10441E-03    0.31323E-02         0.11464E-03    0.34713E-02
  8  -2           0.10441E-03   -0.31323E-02         0.11464E-03   -0.34713E-02
  8   3          -0.88121E-03   -0.12354E-02        -0.11223E-02   -0.16026E-02
  8  -3           0.88121E-03   -0.12354E-02         0.11223E-02   -0.16026E-02
  8   4           0.19352E-01    0.86412E-05         0.20944E-01    0.86870E-05
  8  -4           0.19352E-01   -0.86412E-05         0.20944E-01   -0.86870E-05
  8   5          -0.56801E-02    0.85186E-02        -0.61404E-02    0.92034E-02
  8  -5           0.56801E-02    0.85186E-02         0.61404E-02    0.92034E-02
  8   6           0.32656E-03   -0.14342E-02         0.33088E-03   -0.14899E-02
  8  -6           0.32656E-03    0.14342E-02         0.33088E-03    0.14899E-02
  8   7          -0.33965E-02   -0.50344E-02        -0.38739E-02   -0.57563E-02
  8  -7           0.33965E-02   -0.50344E-02         0.38739E-02   -0.57563E-02
  8   8           0.29792E-01   -0.13932E-05         0.32206E-01   -0.21262E-05
  8  -8           0.29792E-01    0.13932E-05         0.32206E-01    0.21262E-05
  8   1           0.59093E-03   -0.93583E-03         0.52886E-03   -0.83506E-03
  8  -1          -0.59093E-03   -0.93583E-03        -0.52886E-03   -0.83506E-03
  8   2           0.10441E-03    0.31323E-02         0.11464E-03    0.34713E-02
  8  -2           0.10441E-03   -0.31323E-02         0.11464E-03   -0.34713E-02
  8   3          -0.88121E-03   -0.12354E-02        -0.11223E-02   -0.16026E-02
  8  -3           0.88121E-03   -0.12354E-02         0.11223E-02   -0.16026E-02
  8   4           0.19352E-01    0.86412E-05         0.20944E-01    0.86870E-05
  8  -4           0.19352E-01   -0.86412E-05         0.20944E-01   -0.86870E-05
  8   5          -0.56801E-02    0.85186E-02        -0.61404E-02    0.92034E-02
  8  -5           0.56801E-02    0.85186E-02         0.61404E-02    0.92034E-02
  8   6           0.32656E-03   -0.14342E-02         0.33088E-03   -0.14899E-02
  8  -6           0.32656E-03    0.14342E-02         0.33088E-03    0.14899E-02
  8   7          -0.33965E-02   -0.50344E-02        -0.38739E-02   -0.57563E-02
  8  -7           0.33965E-02   -0.50344E-02         0.38739E-02   -0.57563E-02
  8   8           0.29792E-01   -0.13932E-05         0.32206E-01   -0.21262E-05
  8  -8           0.29792E-01    0.13932E-05         0.32206E-01    0.21262E-05

          multipole moments for atom type=    2

  l   m                   original                      plane wave
  0   0          -0.52203E+00    0.00000E+00         0.77848E+00   -0.10013E-14
  1   0          -0.16734E-02    0.00000E+00        -0.14127E-02    0.16003E-15
  1   1           0.49363E-02   -0.31538E-02         0.40563E-02   -0.25988E-02
  1  -1          -0.49363E-02   -0.31538E-02        -0.40563E-02   -0.25988E-02
  1   1           0.49363E-02   -0.31538E-02         0.40563E-02   -0.25988E-02
  1  -1          -0.49363E-02   -0.31538E-02        -0.40563E-02   -0.25988E-02
  2   0           0.52203E-03    0.00000E+00         0.49874E-03    0.58439E-16
  2   1           0.12346E-01   -0.18690E-01         0.11743E-01   -0.17751E-01
  2  -1          -0.12346E-01   -0.18690E-01        -0.11743E-01   -0.17751E-01
  2   2          -0.29035E-03    0.58685E-02        -0.27749E-03    0.56344E-02
  2  -2          -0.29035E-03   -0.58685E-02        -0.27749E-03   -0.56344E-02
  2   1           0.12346E-01   -0.18690E-01         0.11743E-01   -0.17751E-01
  2  -1          -0.12346E-01   -0.18690E-01        -0.11743E-01   -0.17751E-01
  2   2          -0.29035E-03    0.58685E-02        -0.27749E-03    0.56344E-02
  2  -2          -0.29035E-03   -0.58685E-02        -0.27749E-03   -0.56344E-02
  3   0           0.84952E-02    0.00000E+00         0.82483E-02   -0.37571E-15
  3   1           0.10736E-01   -0.72030E-02         0.10357E-01   -0.69547E-02
  3  -1          -0.10736E-01   -0.72030E-02        -0.10357E-01   -0.69547E-02
  3   2           0.55912E-05   -0.46967E+00         0.47831E-05   -0.46256E+00
  3  -2           0.55912E-05    0.46967E+00         0.47831E-05    0.46256E+00
  3   3          -0.13842E-01   -0.92682E-02        -0.13355E-01   -0.89520E-02
  3  -3           0.13842E-01   -0.92682E-02         0.13355E-01   -0.89520E-02
  3   1           0.10736E-01   -0.72030E-02         0.10357E-01   -0.69547E-02
  3  -1          -0.10736E-01   -0.72030E-02        -0.10357E-01   -0.69547E-02
  3   2           0.55912E-05   -0.46967E+00         0.47831E-05   -0.46256E+00
  3  -2           0.55912E-05    0.46967E+00         0.47831E-05    0.46256E+00
  3   3          -0.13842E-01   -0.92682E-02        -0.13355E-01   -0.89520E-02
  3  -3           0.13842E-01   -0.92682E-02         0.13355E-01   -0.89520E-02
  4   0          -0.27309E+00    0.00000E+00        -0.26912E+00    0.26274E-14
  4   1           0.34671E-03   -0.37970E-03         0.41296E-03   -0.48733E-03
  4  -1          -0.34671E-03   -0.37970E-03        -0.41296E-03   -0.48733E-03
  4   2          -0.31491E-03   -0.10925E-02        -0.30580E-03   -0.11522E-02
  4  -2          -0.31491E-03    0.10925E-02        -0.30580E-03    0.11522E-02
  4   3           0.83822E-03    0.96040E-03         0.10181E-02    0.12477E-02
  4  -3          -0.83822E-03    0.96040E-03        -0.10181E-02    0.12477E-02
  4   4          -0.16268E+00   -0.85624E-05        -0.16032E+00   -0.80561E-05
  4  -4          -0.16268E+00    0.85624E-05        -0.16032E+00    0.80561E-05
  4   1           0.34671E-03   -0.37970E-03         0.41296E-03   -0.48733E-03
  4  -1          -0.34671E-03   -0.37970E-03        -0.41296E-03   -0.48733E-03
  4   2          -0.31491E-03   -0.10925E-02        -0.30580E-03   -0.11522E-02
  4  -2          -0.31491E-03    0.10925E-02        -0.30580E-03    0.11522E-02
  4   3           0.83822E-03    0.96040E-03         0.10181E-02    0.12477E-02
  4  -3          -0.83822E-03    0.96040E-03        -0.10181E-02    0.12477E-02
  4   4          -0.16268E+00   -0.85624E-05        -0.16032E+00   -0.80561E-05
  4  -4          -0.16268E+00    0.85624E-05        -0.16032E+00    0.80561E-05
  5   0          -0.53229E-02    0.00000E+00        -0.52640E-02   -0.22169E-14
  5   1          -0.43744E-02    0.27155E-02        -0.42150E-02    0.26121E-02
  5  -1           0.43744E-02    0.27155E-02         0.42150E-02    0.26121E-02
  5   2          -0.77890E-05   -0.61502E-03        -0.76563E-05   -0.60117E-03
  5  -2          -0.77890E-05    0.61502E-03        -0.76563E-05    0.60117E-03
  5   3          -0.17820E-01   -0.11793E-01        -0.17488E-01   -0.11572E-01
  5  -3           0.17820E-01   -0.11793E-01         0.17488E-01   -0.11572E-01
  5   4           0.46737E-02    0.48354E-03         0.45594E-02    0.47257E-03
  5  -4           0.46737E-02   -0.48354E-03         0.45594E-02   -0.47257E-03
  5   5           0.37237E-02   -0.26169E-02         0.37297E-02   -0.26183E-02
  5  -5          -0.37237E-02   -0.26169E-02        -0.37297E-02   -0.26183E-02
  5   1          -0.43744E-02    0.27155E-02        -0.42150E-02    0.26121E-02
  5  -1           0.43744E-02    0.27155E-02         0.42150E-02    0.26121E-02
  5   2          -0.77890E-05   -0.61502E-03        -0.76563E-05   -0.60117E-03
  5  -2          -0.77890E-05    0.61502E-03        -0.76563E-05    0.60117E-03
  5   3          -0.17820E-01   -0.11793E-01        -0.17488E-01   -0.11572E-01
  5  -3           0.17820E-01   -0.11793E-01         0.17488E-01   -0.11572E-01
  5   4           0.46737E-02    0.48354E-03         0.45594E-02    0.47257E-03
  5  -4           0.46737E-02   -0.48354E-03         0.45594E-02   -0.47257E-03
  5   5           0.37237E-02   -0.26169E-02         0.37297E-02   -0.26183E-02
  5  -5          -0.37237E-02   -0.26169E-02        -0.37297E-02   -0.26183E-02
  6   0           0.10281E+00    0.00000E+00         0.10175E+00    0.22869E-14
  6   1          -0.64039E-02    0.97176E-02        -0.63488E-02    0.96356E-02
  6  -1           0.64039E-02    0.97176E-02         0.63488E-02    0.96356E-02
  6   2           0.11860E-03   -0.60791E-02         0.11752E-03   -0.60171E-02
  6  -2           0.11860E-03    0.60791E-02         0.11752E-03    0.60171E-02
  6   3          -0.42897E-02   -0.62284E-02        -0.42489E-02   -0.61697E-02
  6  -3           0.42897E-02   -0.62284E-02         0.42489E-02   -0.61697E-02
  6   4          -0.19311E+00   -0.55885E-05        -0.19113E+00   -0.56943E-05
  6  -4          -0.19311E+00    0.55885E-05        -0.19113E+00    0.56943E-05
  6   5          -0.97095E-02    0.14433E-01        -0.96204E-02    0.14304E-01
  6  -5           0.97095E-02    0.14433E-01         0.96204E-02    0.14304E-01
  6   6           0.17553E-03   -0.20772E-02         0.17391E-03   -0.20571E-02
  6  -6           0.17553E-03    0.20772E-02         0.17391E-03    0.20571E-02
  6   1          -0.64039E-02    0.97176E-02        -0.63488E-02    0.96356E-02
  6  -1           0.64039E-02    0.97176E-02         0.63488E-02    0.96356E-02
  6   2           0.11860E-03   -0.60791E-02         0.11752E-03   -0.60171E-02
  6  -2           0.11860E-03    0.60791E-02         0.11752E-03    0.60171E-02
  6   3          -0.42897E-02   -0.62284E-02        -0.42489E-02   -0.61697E-02
  6  -3           0.42897E-02   -0.62284E-02         0.42489E-02   -0.61697E-02
  6   4          -0.19311E+00   -0.55885E-05        -0.19113E+00   -0.56943E-05
  6  -4          -0.19311E+00    0.55885E-05        -0.19113E+00    0.56943E-05
  6   5          -0.97095E-02    0.14433E-01        -0.96204E-02    0.14304E-01
  6  -5           0.97095E-02    0.14433E-01         0.96204E-02    0.14304E-01
  6   6           0.17553E-03   -0.20772E-02         0.17391E-03   -0.20571E-02
  6  -6           0.17553E-03    0.20772E-02         0.17391E-03    0.20571E-02
  7   0          -0.24634E-02    0.00000E+00        -0.24470E-02   -0.88084E-16
  7   1          -0.51588E-02    0.35464E-02        -0.51448E-02    0.35370E-02
  7  -1           0.51588E-02    0.35464E-02         0.51448E-02    0.35370E-02
  7   2          -0.24077E-05    0.12873E+00        -0.23975E-05    0.12878E+00
  7  -2          -0.24077E-05   -0.12873E+00        -0.23975E-05   -0.12878E+00
  7   3           0.12555E-02    0.85878E-03         0.12398E-02    0.84840E-03
  7  -3          -0.12555E-02    0.85878E-03        -0.12398E-02    0.84840E-03
  7   4          -0.24427E-02    0.36109E-03        -0.24432E-02    0.36198E-03
  7  -4          -0.24427E-02   -0.36109E-03        -0.24432E-02   -0.36198E-03
  7   5           0.27233E-02   -0.18617E-02         0.27423E-02   -0.18744E-02
  7  -5          -0.27233E-02   -0.18617E-02        -0.27423E-02   -0.18744E-02
  7   6          -0.43803E-05    0.11780E+00        -0.43125E-05    0.11784E+00
  7  -6          -0.43803E-05   -0.11780E+00        -0.43125E-05   -0.11784E+00
  7   7           0.47002E-02    0.32245E-02         0.46773E-02    0.32093E-02
  7  -7          -0.47002E-02    0.32245E-02        -0.46773E-02    0.32093E-02
  7   1          -0.51588E-02    0.35464E-02        -0.51448E-02    0.35370E-02
  7  -1           0.51588E-02    0.35464E-02         0.51448E-02    0.35370E-02
  7   2          -0.24077E-05    0.12873E+00        -0.23975E-05    0.12878E+00
  7  -2          -0.24077E-05   -0.12873E+00        -0.23975E-05   -0.12878E+00
  7   3           0.12555E-02    0.85878E-03         0.12398E-02    0.84840E-03
  7  -3          -0.12555E-02    0.85878E-03        -0.12398E-02    0.84840E-03
  7   4          -0.24427E-02    0.36109E-03        -0.24432E-02    0.36198E-03
  7  -4          -0.24427E-02   -0.36109E-03        -0.24432E-02   -0.36198E-03
  7   5           0.27233E-02   -0.18617E-02         0.27423E-02   -0.18744E-02
  7  -5          -0.27233E-02   -0.18617E-02        -0.27423E-02   -0.18744E-02
  7   6          -0.43803E-05    0.11780E+00        -0.43125E-05    0.11784E+00
  7  -6          -0.43803E-05   -0.11780E+00        -0.43125E-05   -0.11784E+00
  7   7           0.47002E-02    0.32245E-02         0.46773E-02    0.32093E-02
  7  -7          -0.47002E-02    0.32245E-02        -0.46773E-02    0.32093E-02
  8   0           0.52642E-01    0.00000E+00         0.56887E-01   -0.10099E-13
  8   1           0.59091E-03   -0.93639E-03         0.52884E-03   -0.83566E-03
  8  -1          -0.59091E-03   -0.93639E-03        -0.52884E-03   -0.83566E-03
  8   2           0.10447E-03    0.31325E-02         0.11473E-03    0.34716E-02
  8  -2           0.10447E-03   -0.31325E-02         0.11473E-03   -0.34716E-02
  8   3          -0.88123E-03   -0.12358E-02        -0.11223E-02   -0.16031E-02
  8  -3           0.88123E-03   -0.12358E-02         0.11223E-02   -0.16031E-02
  8   4           0.19352E-01    0.87883E-05         0.20944E-01    0.88496E-05
  8  -4           0.19352E-01   -0.87883E-05         0.20944E-01   -0.88496E-05
  8   5          -0.56801E-02    0.85179E-02        -0.61404E-02    0.92027E-02
  8  -5           0.56801E-02    0.85179E-02         0.61404E-02    0.92027E-02
  8   6           0.32691E-03   -0.14344E-02         0.33123E-03   -0.14900E-02
  8  -6           0.32691E-03    0.14344E-02         0.33123E-03    0.14900E-02
  8   7          -0.33965E-02   -0.50330E-02        -0.38739E-02   -0.57549E-02
  8  -7           0.33965E-02   -0.50330E-02         0.38739E-02   -0.57549E-02
  8   8           0.29792E-01   -0.14592E-05         0.32206E-01   -0.21945E-05
  8  -8           0.29792E-01    0.14592E-05         0.32206E-01    0.21945E-05
  8   1           0.59091E-03   -0.93639E-03         0.52884E-03   -0.83566E-03
  8  -1          -0.59091E-03   -0.93639E-03        -0.52884E-03   -0.83566E-03
  8   2           0.10447E-03    0.31325E-02         0.11473E-03    0.34716E-02
  8  -2           0.10447E-03   -0.31325E-02         0.11473E-03   -0.34716E-02
  8   3          -0.88123E-03   -0.12358E-02        -0.11223E-02   -0.16031E-02
  8  -3           0.88123E-03   -0.12358E-02         0.11223E-02   -0.16031E-02
  8   4           0.19352E-01    0.87883E-05         0.20944E-01    0.88496E-05
  8  -4           0.19352E-01   -0.87883E-05         0.20944E-01   -0.88496E-05
  8   5          -0.56801E-02    0.85179E-02        -0.61404E-02    0.92027E-02
  8  -5           0.56801E-02    0.85179E-02         0.61404E-02    0.92027E-02
  8   6           0.32691E-03   -0.14344E-02         0.33123E-03   -0.14900E-02
  8  -6           0.32691E-03    0.14344E-02         0.33123E-03    0.14900E-02
  8   7          -0.33965E-02   -0.50330E-02        -0.38739E-02   -0.57549E-02
  8  -7           0.33965E-02   -0.50330E-02         0.38739E-02   -0.57549E-02
  8   8           0.29792E-01   -0.14592E-05         0.32206E-01   -0.21945E-05
  8  -8           0.29792E-01    0.14592E-05         0.32206E-01    0.21945E-05

          integral of pseudo charge density inside the slab=        0.000000   0.000000

     coulomb potential in the interstitial region:

          density-coulomb potential integrals


          interstitial :                       0.7807211045

          muffin tin spheres :              -845.1833312260

          total density-coulomb potenti     -844.4026101214
 wrtdop title:alpha Si                                                                ordered*

     interstitial potential average (vbar) = -0.027906

 999idsprs in starting of nmtxad= 0

          density-effective potential integrals for spin  1


          interstitial :                      -0.4749448191

          muffin tin spheres :              -897.8378394028

          total density-effective poten     -898.3127842219

          charge density-energy density integrals


          interstitial :                      -0.9795633336

          muffin tin spheres :               -40.7649507715

          total charge density-energy d      -41.7445141051
 vgen: pottot deleted
 wrtdop title:alpha Si                                                                ordered*
 IT=  20  ISEC1=  99 standard diagonalization
  Atom  1 3s branch from -4.72 to  1.07 htr. ; e_l = -0.1341
  Atom  1 3p branch from -3.11 to  1.55 htr. ; e_l =  0.0500
  Atom  1 3d branch from -9.99 to  1.95 htr. ; e_l =  0.2439
  Atom  1 4f branch from -9.99 to  4.11 htr. ; e_l =  0.4116
  Atom  2 3s branch from -4.72 to  1.07 htr. ; e_l = -0.1341
  Atom  2 3p branch from -3.11 to  1.55 htr. ; e_l =  0.0500
  Atom  2 3d branch from -9.99 to  1.95 htr. ; e_l =  0.2439
  Atom  2 4f branch from -9.99 to  4.11 htr. ; e_l =  0.4116


 wavefunction parameters for atom type  1:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.13409        4.7800588E-01  -2.4465366E-01    2       -3.1232929E-01  -7.4530269E-01    2   1.0766710E-01   4.3267158E-01
  1   0.04999       -5.5348712E-01   9.9418242E-02    1        2.6599577E-01   7.3396795E-01    2   7.9521943E-02   4.3268664E-01
  2   0.24387        6.4439219E-01   1.6344256E-01    0       -2.3289853E-01  -7.3053287E-01    1   6.5178938E-02   4.3268414E-01
  3   0.41164        8.3800007E-01   7.5544845E-01    0       -1.2158489E-01  -6.2593055E-01    1   1.3122242E-02   4.3267873E-01
  4   0.41164        9.7736354E-01   1.4626809E+00    0       -8.2132586E-02  -5.6560526E-01    1   4.9166923E-03   4.3266820E-01
  5   0.41164        1.0889890E+00   2.2153832E+00    0       -6.1660944E-02  -5.2273998E-01    1   2.3795468E-03   4.3265549E-01
  6   0.41164        1.1859741E+00   3.0206232E+00    0       -4.8925249E-02  -4.8940792E-01    1   1.3189789E-03   4.3264038E-01
  7   0.41164        1.2734321E+00   3.8786657E+00    0       -4.0219931E-02  -4.6223314E-01    1   7.9808738E-04   4.3262283E-01
  8   0.41164        1.3539864E+00   4.7881050E+00    0       -3.3904804E-02  -4.3940067E-01    1   5.1413446E-04   4.3260278E-01


 wavefunction parameters for atom type  2:
                               radial function                                energy derivative
  l    energy            value        derivative    nodes          value        derivative    nodes       norm        wronskian
  0  -0.13409        4.7800588E-01  -2.4465367E-01    2       -3.1232930E-01  -7.4530269E-01    2   1.0766710E-01   4.3267158E-01
  1   0.04999       -5.5348712E-01   9.9418251E-02    1        2.6599578E-01   7.3396795E-01    2   7.9521945E-02   4.3268664E-01
  2   0.24387        6.4439219E-01   1.6344255E-01    0       -2.3289853E-01  -7.3053287E-01    1   6.5178940E-02   4.3268414E-01
  3   0.41164        8.3800006E-01   7.5544844E-01    0       -1.2158489E-01  -6.2593055E-01    1   1.3122243E-02   4.3267873E-01
  4   0.41164        9.7736354E-01   1.4626809E+00    0       -8.2132587E-02  -5.6560526E-01    1   4.9166924E-03   4.3266820E-01
  5   0.41164        1.0889890E+00   2.2153832E+00    0       -6.1660944E-02  -5.2273998E-01    1   2.3795468E-03   4.3265549E-01
  6   0.41164        1.1859741E+00   3.0206232E+00    0       -4.8925250E-02  -4.8940792E-01    1   1.3189789E-03   4.3264038E-01
  7   0.41164        1.2734321E+00   3.8786657E+00    0       -4.0219931E-02  -4.6223314E-01    1   7.9808738E-04   4.3262283E-01
  8   0.41164        1.3539864E+00   4.7881050E+00    0       -3.3904804E-02  -4.3940067E-01    1   5.1413446E-04   4.3260278E-01


 k=(    0.444444    0.444444    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.153280   -0.031293    0.159306    0.163882    0.258587
         0.324574    0.329870    0.487745


 k=(    0.333333    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155807   -0.016636    0.134401    0.147133    0.282764
         0.327031    0.355424    0.456842


 k=(    0.222222    0.444444    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149604   -0.001541    0.095572    0.126844    0.263607
         0.363102    0.395648    0.410692


 k=(    0.111111    0.444444    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133882   -0.013596    0.094257    0.110453    0.240047
         0.284585    0.479228    0.481202


 k=(    0.000000    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.109044   -0.046474    0.102274    0.107596    0.228001
         0.244450    0.544473    0.545265


 k=(   -0.111111    0.444444    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.085594   -0.069896    0.085730    0.103582    0.233510
         0.270559    0.542643    0.551618


 k=(    0.222222    0.555556    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107770   -0.042866    0.061525    0.114177    0.246329
         0.342994    0.468496    0.471697


 k=(    0.333333    0.555556    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128235   -0.032822    0.076669    0.132190    0.268738
         0.386840    0.397743    0.434831


 k=(    0.555556    0.444444    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143573   -0.035778    0.125162    0.151858    0.282834
         0.327785    0.346526    0.501226


 k=(    0.444444    0.333333    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155848   -0.016444    0.132471    0.148931    0.283239
         0.328016    0.353720    0.455743


 k=(    0.333333    0.333333    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165140   -0.000120    0.121288    0.166961    0.290187
         0.336918    0.339240    0.476509


 k=(    0.222222    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164629    0.017667    0.096393    0.146835    0.304000
         0.336244    0.384323    0.403148


 k=(    0.111111    0.333333    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153777    0.012629    0.094953    0.119002    0.273270
         0.310800    0.402721    0.466475


 k=(    0.000000    0.333333    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132897   -0.016358    0.090604    0.115990    0.245257
         0.279235    0.479960    0.483708


 k=(   -0.111111    0.333333    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104154   -0.048509    0.083709    0.094294    0.265639
         0.279963    0.470633    0.535967


 k=(   -0.222222    0.333333    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.090022   -0.059316    0.061330    0.092609    0.277041
         0.343700    0.449012    0.458083


 k=(    0.666667    0.333333    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114369   -0.035890    0.057317    0.109589    0.294950
         0.369553    0.431858    0.447727


 k=(    0.555556    0.333333    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138135   -0.025713    0.090673    0.132751    0.308919
         0.319094    0.402803    0.446686


 k=(    0.444444    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149664   -0.001050    0.093756    0.128137    0.264890
         0.361787    0.395654    0.409422


 k=(    0.333333    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164637    0.017879    0.095589    0.147519    0.304347
         0.337081    0.383680    0.401195


 k=(    0.222222    0.222222    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169430    0.026843    0.085213    0.166317    0.303689
         0.364729    0.374785    0.419056


 k=(    0.111111    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163615    0.011823    0.100896    0.146666    0.310878
         0.335967    0.378024    0.407317


 k=(    0.000000    0.222222    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147500   -0.009116    0.094899    0.132985    0.270626
         0.356049    0.397572    0.412258


 k=(   -0.111111    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122437   -0.030788    0.069179    0.113230    0.291024
         0.346659    0.390282    0.479096


 k=(   -0.222222    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.093423   -0.055017    0.059246    0.085568    0.343711
         0.355316    0.374634    0.436209


 k=(    0.666667    0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.097547   -0.048784    0.061523    0.080911    0.346072
         0.350041    0.373358    0.440554


 k=(    0.555556    0.222222    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125937   -0.022156    0.070718    0.105886    0.286354
         0.351668    0.385263    0.480628


 k=(    0.444444    0.111111    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133913   -0.013404    0.092962    0.111508    0.241158
         0.283572    0.478323    0.480871


 k=(    0.333333    0.111111    0.444444):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153753    0.012445    0.095195    0.118980    0.273444
         0.310524    0.402767    0.466291


 k=(    0.222222    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163587    0.011512    0.101809    0.146042    0.310476
         0.335206    0.378640    0.409064


 k=(    0.111111    0.111111    0.444444):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163011   -0.008656    0.128772    0.164607    0.292702
         0.338562    0.348910    0.472761


 k=(    0.000000    0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152470   -0.026481    0.133392    0.154507    0.287827
         0.333143    0.355790    0.449996


 k=(   -0.111111    0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133329   -0.037373    0.089779    0.141346    0.310583
         0.328710    0.400404    0.440718


 k=(   -0.222222    0.111111    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108135   -0.047597    0.056391    0.116496    0.300711
         0.373507    0.424562    0.444467


 k=(    0.666667    0.111111    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.083651   -0.066855    0.057418    0.097685    0.282997
         0.337841    0.447238    0.458981


 k=(    0.555556    0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105951   -0.045297    0.084656    0.091510    0.267532
         0.278610    0.465143    0.535450


 k=(    0.444444    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.108899   -0.046773    0.103235    0.106873    0.228438
         0.243916    0.544599    0.545104


 k=(    0.333333    0.000000    0.444444):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132760   -0.016957    0.092067    0.115205    0.244238
         0.279979    0.479889    0.485021


 k=(    0.222222    0.000000    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147393   -0.009745    0.096561    0.132041    0.269259
         0.357131    0.397360    0.413956


 k=(    0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152410   -0.026706    0.134675    0.153442    0.287354
         0.331573    0.358003    0.451120


 k=(    0.000000    0.000000    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.148642   -0.042575    0.160062    0.169132    0.262150
         0.326410    0.337164    0.491927


 k=(   -0.111111    0.000000    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137974   -0.048174    0.125660    0.158291    0.287067
         0.332373    0.348737    0.505690


 k=(    0.222222    0.000000    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122505   -0.045135    0.077910    0.137676    0.274764
         0.388984    0.399608    0.428465


 k=(    0.333333    0.000000    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.102677   -0.051272    0.059867    0.119117    0.252256
         0.337270    0.468608    0.474212


 k=(    0.555556    0.000000    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.078474   -0.077363    0.081258    0.108248    0.239502
         0.264779    0.538562    0.551413


 k=(    0.444444   -0.111111    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.084109   -0.071571    0.084954    0.104556    0.234726
         0.269327    0.541743    0.551730


 k=(    0.333333   -0.111111    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103600   -0.049506    0.084206    0.094377    0.265845
         0.279578    0.471764    0.536105


 k=(    0.222222   -0.111111    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122129   -0.031676    0.069958    0.113224    0.289558
         0.347963    0.391349    0.479274


 k=(    0.111111   -0.111111    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133163   -0.037753    0.089737    0.141735    0.309839
         0.329372    0.400208    0.441880


 k=(    0.000000   -0.111111    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137915   -0.048240    0.124477    0.159654    0.287522
         0.333934    0.346263    0.505543


 k=(    0.111111    0.111111    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.138153   -0.047979    0.130465    0.152824    0.285868
         0.330286    0.353447    0.506323


 k=(    0.222222    0.111111    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133849   -0.036787    0.095366    0.134739    0.313951
         0.321067    0.407414    0.441289


 k=(    0.333333    0.111111    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123242   -0.029372    0.072701    0.108563    0.290730
         0.347842    0.386361    0.483788


 k=(    0.444444    0.111111    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105166   -0.046751    0.084807    0.092220    0.266954
         0.278934    0.467494    0.535857


 k=(    0.555556    0.222222    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107504   -0.043139    0.060397    0.115273    0.247610
         0.341744    0.466893    0.471877


 k=(    0.333333   -0.222222    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.088828   -0.060830    0.060608    0.093662    0.278259
         0.342445    0.448234    0.458743


 k=(    0.222222   -0.222222    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.092355   -0.056556    0.059054    0.086289    0.344310
         0.355083    0.375080    0.435353


 k=(    0.111111   -0.222222    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.107761   -0.048133    0.055891    0.117151    0.302189
         0.371762    0.424121    0.444565


 k=(    0.000000    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122418   -0.045102    0.076694    0.138745    0.276222
         0.388455    0.397627    0.428199


 k=(    0.111111    0.222222    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133844   -0.036652    0.093967    0.136107    0.313706
         0.322507    0.405715    0.440282


 k=(    0.222222    0.222222    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139156   -0.021638    0.074186    0.147350    0.284874
         0.388294    0.391059    0.464109


 k=(    0.333333    0.222222    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136452   -0.012567    0.062918    0.127526    0.315591
         0.353309    0.384294    0.457796


 k=(    0.444444    0.222222    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125404   -0.023438    0.069405    0.108331    0.285807
         0.351643    0.387931    0.477879


 k=(    0.555556    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128116   -0.032855    0.075274    0.133560    0.270061
         0.385933    0.396245    0.434509


 k=(    0.333333    0.666667    0.444444):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114055   -0.036412    0.056700    0.110434    0.296334
         0.367917    0.431056    0.448197


 k=(    0.222222    0.666667    0.444444):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.096830   -0.049910    0.060978    0.081911    0.344986
         0.351752    0.373606    0.439645


 k=(    0.111111    0.666667    0.444444):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.082090   -0.068550    0.056669    0.098526    0.284299
         0.336622    0.447320    0.458708


 k=(    0.000000    0.333333    0.555556):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.102599   -0.051145    0.058677    0.119961    0.253650
         0.336088    0.467520    0.473761


 k=(    0.111111    0.333333    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123269   -0.029057    0.071175    0.109777    0.291967
         0.346539    0.386542    0.482353


 k=(    0.222222    0.333333    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136471   -0.012477    0.062848    0.127497    0.315710
         0.352931    0.384607    0.458046


 k=(    0.333333    0.333333    0.555556):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141151   -0.014450    0.068537    0.148211    0.285077
         0.382633    0.384140    0.470155


 k=(    0.444444    0.333333    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137818   -0.026205    0.087742    0.136429    0.306868
         0.323337    0.398963    0.446858


 k=(    0.444444    0.555556    0.444444):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143519   -0.035838    0.123536    0.153718    0.283274
         0.328614    0.344756    0.501150


 k=(    0.333333    0.555556    0.444444):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138010   -0.026039    0.090513    0.133232    0.307766
         0.320180    0.402669    0.447782


 k=(    0.222222    0.555556    0.444444):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125739   -0.022825    0.071412    0.105803    0.284926
         0.353161    0.386201    0.480745


 k=(    0.111111    0.555556    0.444444):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105703   -0.045728    0.084051    0.092346    0.266685
         0.279404    0.466263    0.535482


 k=(    0.000000    0.555556    0.444444):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.079463   -0.076274    0.080299    0.108986    0.240824
         0.263607    0.537596    0.551238


 k=(    0.111111    0.444444    0.555556):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105311   -0.046454    0.084192    0.092632    0.266418
         0.279550    0.467439    0.535665


 k=(    0.222222    0.444444    0.555556):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125473   -0.023463    0.070731    0.107041    0.284672
         0.353135    0.387540    0.479334


 k=(    0.333333    0.444444    0.555556):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137851   -0.026285    0.089041    0.135067    0.306831
         0.322233    0.400715    0.447878


 k=(    0.444444    0.444444    0.555556):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.143466   -0.035899    0.122144    0.155322    0.283736
         0.329990    0.342428    0.501109


 k=(    0.444444    0.444444    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.155892   -0.016240    0.130911    0.150326    0.283726
         0.329357    0.351648    0.454679


 k=(    0.333333    0.444444    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165242    0.000192    0.122443    0.165163    0.289830
         0.335665    0.341500    0.475885


 k=(    0.222222    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164788    0.018348    0.097308    0.144991    0.304808
         0.334404    0.384424    0.404723


 k=(    0.111111    0.444444    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154000    0.013880    0.094611    0.118036    0.273641
         0.310805    0.401369    0.466704


 k=(    0.000000    0.444444    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133200   -0.015303    0.089611    0.116052    0.245471
         0.279251    0.479041    0.482459


 k=(   -0.111111    0.444444    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104551   -0.047804    0.083595    0.094014    0.265900
         0.279803    0.469520    0.535942


 k=(   -0.222222    0.444444    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.089973   -0.059387    0.061361    0.092607    0.277035
         0.343677    0.449398    0.457782


 k=(    0.666667    0.444444    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.114248   -0.036042    0.056784    0.110244    0.294847
         0.370480    0.432309    0.446762


 k=(    0.555556    0.444444    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.138107   -0.025617    0.089279    0.134173    0.308806
         0.320382    0.400949    0.445762


 k=(    0.444444    0.333333    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.165343    0.000488    0.123798    0.163160    0.289509
         0.335413    0.342741    0.475631


 k=(    0.333333    0.333333    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.179955    0.017494    0.165430    0.170026    0.265770
         0.329473    0.334653    0.490746


 k=(    0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184128    0.039434    0.149050    0.150888    0.287487
         0.330615    0.364860    0.405025


 k=(    0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177346    0.049581    0.122922    0.130338    0.258633
         0.324892    0.404632    0.417088


 k=(    0.000000    0.333333    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159802    0.022411    0.115980    0.121805    0.233467
         0.280593    0.469580    0.469776


 k=(   -0.111111    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133000   -0.016614    0.097150    0.110278    0.239474
         0.284374    0.480995    0.485834


 k=(   -0.222222    0.333333    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.105505   -0.047359    0.064120    0.113990    0.246102
         0.342963    0.472600    0.473835


 k=(    0.666667    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.113788   -0.036122    0.048697    0.126521    0.260438
         0.422336    0.445171    0.458716


 k=(    0.555556    0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141791   -0.012877    0.070034    0.145328    0.282338
         0.384274    0.386877    0.469621


 k=(    0.444444    0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164954    0.019223    0.097526    0.143721    0.306107
         0.333273    0.383823    0.404408


 k=(    0.333333    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184173    0.039813    0.147100    0.152355    0.287879
         0.331819    0.363324    0.403749


 k=(    0.222222    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192884    0.061210    0.130109    0.182530    0.301669
         0.331814    0.343424    0.428950


 k=(    0.111111    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190425    0.068445    0.120694    0.162155    0.293323
         0.343531    0.367199    0.388893


 k=(    0.000000    0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176847    0.045023    0.121117    0.136666    0.261649
         0.321076    0.406677    0.419208


 k=(   -0.111111    0.222222    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153114    0.009247    0.094915    0.122634    0.272164
         0.310652    0.406595    0.466407


 k=(   -0.222222    0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123458   -0.029092    0.073796    0.107952    0.284146
         0.353731    0.389930    0.482812


 k=(    0.666667    0.222222    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.112090   -0.040960    0.059641    0.110144    0.294606
         0.374914    0.427905    0.446673


 k=(    0.555556    0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137459   -0.009255    0.062825    0.124924    0.312878
         0.354257    0.384567    0.458718


 k=(    0.444444    0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154198    0.014942    0.094667    0.116882    0.274210
         0.310538    0.400055    0.466812


 k=(    0.333333    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177389    0.050157    0.120952    0.131627    0.259417
         0.324342    0.404276    0.416168


 k=(    0.222222    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190419    0.068308    0.120821    0.162226    0.293366
         0.343601    0.366988    0.388700


 k=(    0.111111    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192328    0.054805    0.136638    0.180968    0.304775
         0.338634    0.343311    0.424773


 k=(    0.000000    0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183023    0.031759    0.148599    0.157987    0.292631
         0.335467    0.365892    0.398123


 k=(   -0.111111    0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163130    0.010042    0.097844    0.152275    0.307976
         0.341568    0.378026    0.402932


 k=(   -0.222222    0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134954   -0.016978    0.062470    0.131468    0.319248
         0.351893    0.384171    0.457563


 k=(   -0.333333    0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110399   -0.043525    0.056505    0.114243    0.301356
         0.366967    0.425534    0.447141


 k=(    0.555556    0.111111    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.124659   -0.025411    0.070247    0.108238    0.291132
         0.347244    0.384765    0.481651


 k=(    0.444444    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133365   -0.014866    0.090096    0.115324    0.244656
         0.280031    0.477997    0.482593


 k=(    0.333333    0.000000    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159777    0.022183    0.117037    0.121039    0.233610
         0.280342    0.469421    0.469774


 k=(    0.222222    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176778    0.044154    0.123013    0.135868    0.261023
         0.321240    0.406709    0.420386


 k=(    0.111111    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182968    0.031328    0.149454    0.157749    0.292275
         0.333798    0.367735    0.399377


 k=(    0.000000    0.000000    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178115    0.008604    0.166629    0.175732    0.269637
         0.331314    0.341725    0.491544


 k=(   -0.111111    0.000000    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162683   -0.009542    0.124821    0.170477    0.293524
         0.337840    0.346801    0.472836


 k=(   -0.222222    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138136   -0.023823    0.071682    0.151758    0.288538
         0.384208    0.389057    0.464700


 k=(   -0.333333    0.000000    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.109295   -0.044115    0.046715    0.132230    0.266722
         0.415435    0.438916    0.463376


 k=(    0.555556    0.000000    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104479   -0.047959    0.058123    0.119249    0.252409
         0.337213    0.465623    0.473207


 k=(    0.444444   -0.111111    0.333333):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.104399   -0.048105    0.084091    0.093719    0.266397
         0.279225    0.469580    0.536137


 k=(    0.333333   -0.111111    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132729   -0.017453    0.096829    0.111275    0.240381
         0.283324    0.481175    0.486571


 k=(    0.222222   -0.111111    0.333333):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152865    0.007938    0.095382    0.123557    0.271986
         0.310365    0.407913    0.466322


 k=(    0.111111   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162937    0.009100    0.097909    0.153348    0.306887
         0.342393    0.378607    0.403296


 k=(    0.000000   -0.111111    0.333333):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.162570   -0.009867    0.123863    0.172065    0.293887
         0.337997    0.345646    0.473876


 k=(   -0.111111   -0.111111    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152246   -0.027307    0.140467    0.148116    0.286032
         0.328672    0.362720    0.454685


 k=(   -0.222222   -0.111111    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133385   -0.037816    0.094804    0.136256    0.310380
         0.324328    0.406609    0.445201


 k=(   -0.333333   -0.111111    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108583   -0.047209    0.058487    0.114140    0.301113
         0.370239    0.422497    0.447633


 k=(    0.555556   -0.111111    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.083395   -0.067170    0.057490    0.097690    0.282977
         0.337792    0.448018    0.458424


 k=(    0.444444   -0.222222    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.088684   -0.061033    0.060688    0.093661    0.278242
         0.342388    0.449161    0.458042


 k=(    0.333333   -0.222222    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104363   -0.049256    0.063857    0.115020    0.247307
         0.341734    0.472433    0.474597


 k=(    0.222222   -0.222222    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122674   -0.030973    0.073576    0.109420    0.285130
         0.352538    0.391039    0.482510


 k=(    0.111111   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134411   -0.018594    0.062594    0.132594    0.320794
         0.351366    0.383891    0.457177


 k=(    0.000000   -0.222222    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.137785   -0.024605    0.071064    0.152979    0.290016
         0.382936    0.388094    0.465350


 k=(   -0.111111   -0.222222    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.133214   -0.038061    0.093392    0.137983    0.309634
         0.326188    0.404725    0.445343


 k=(   -0.222222   -0.222222    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.122824   -0.045128    0.082077    0.133679    0.271007
         0.391012    0.403928    0.430089


 k=(    0.333333    0.222222    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109667   -0.045664    0.060485    0.111616    0.297233
         0.374787    0.423395    0.448088


 k=(    0.444444    0.222222    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.095829   -0.051523    0.060923    0.082662    0.346738
         0.350135    0.374228    0.438978


 k=(    0.444444    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113798   -0.036747    0.055686    0.111721    0.296094
         0.369752    0.431889    0.446563


 k=(    0.333333    0.666667    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.112913   -0.037785    0.048356    0.127706    0.261714
         0.420651    0.443800    0.459536


 k=(    0.222222    0.666667    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110824   -0.043344    0.059440    0.111560    0.295810
         0.375747    0.426169    0.446189


 k=(    0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109068   -0.045931    0.056431    0.115460    0.302661
         0.367683    0.424100    0.446359


 k=(    0.000000   -0.333333    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.108326   -0.045730    0.046400    0.133159    0.268135
         0.414053    0.437542    0.465294


 k=(   -0.111111   -0.333333    0.333333):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108125   -0.047793    0.057406    0.115404    0.302548
         0.369340    0.422580    0.446584


 k=(    0.222222    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109580   -0.045713    0.059889    0.112240    0.297179
         0.375650    0.423878    0.446952


 k=(    0.333333    0.333333    0.666667):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.112016   -0.039462    0.048082    0.128773    0.263092
         0.418865    0.442330    0.460886


 k=(    0.444444    0.333333    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113481   -0.037276    0.055159    0.112464    0.297568
         0.368012    0.430947    0.447254


 k=(    0.444444    0.555556    0.333333):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.137948   -0.025862    0.087824    0.136011    0.307740
         0.322522    0.399064    0.445837


 k=(    0.333333    0.555556    0.333333):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.141473   -0.013650    0.069227    0.146837    0.283645
         0.383206    0.385806    0.469673


 k=(    0.222222    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136978   -0.010819    0.062755    0.126258    0.314234
         0.353536    0.384705    0.458491


 k=(    0.111111    0.555556    0.333333):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123985   -0.027071    0.069940    0.109631    0.292162
         0.346217    0.385761    0.481285


 k=(    0.000000    0.555556    0.333333):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103528   -0.049458    0.057802    0.120028    0.253727
         0.336051    0.465992    0.473313


 k=(   -0.111111    0.555556    0.333333):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.081969   -0.068693    0.056696    0.098529    0.284291
         0.336604    0.447606    0.458506


 k=(    0.222222    0.444444    0.666667):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.095971   -0.051269    0.060717    0.082731    0.345462
         0.351663    0.374045    0.438830


 k=(    0.333333    0.444444    0.666667):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.113617   -0.037092    0.055643    0.111830    0.297708
         0.367101    0.430570    0.447921


 k=(    0.555556    0.555556    0.333333):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.128005   -0.032871    0.073974    0.134789    0.271486
         0.385174    0.394438    0.434305


 k=(    0.444444    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.149732   -0.000503    0.092026    0.129261    0.266251
         0.360339    0.396090    0.407818


 k=(    0.333333    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164808    0.018814    0.095613    0.146384    0.305534
         0.336027    0.383081    0.400937


 k=(    0.222222    0.444444    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169704    0.028586    0.084911    0.164768    0.302281
         0.366318    0.374107    0.419601


 k=(    0.111111    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164006    0.013941    0.099870    0.145729    0.310660
         0.335164    0.378561    0.405937


 k=(    0.000000    0.444444    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148038   -0.006921    0.092898    0.133194    0.270733
         0.356016    0.397208    0.410330


 k=(   -0.111111    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123161   -0.028840    0.068015    0.113078    0.291177
         0.346343    0.389545    0.477969


 k=(   -0.222222    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.094307   -0.053729    0.059536    0.084838    0.343380
         0.355081    0.374331    0.437167


 k=(    0.666667    0.444444    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.097470   -0.048929    0.061661    0.080857    0.347690
         0.348287    0.373449    0.440649


 k=(    0.555556    0.444444    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125887   -0.022064    0.069313    0.107181    0.287586
         0.350079    0.385664    0.479192


 k=(    0.444444    0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164966    0.019476    0.096628    0.144437    0.306486
         0.334059    0.383132    0.402566


 k=(    0.333333    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.184219    0.040227    0.145712    0.153207    0.288263
         0.333302    0.361515    0.402508


 k=(    0.222222    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192966    0.061926    0.130829    0.180542    0.301380
         0.333594    0.342430    0.428559


 k=(    0.111111    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190546    0.070183    0.120219    0.160521    0.293742
         0.343035    0.366536    0.389174


 k=(    0.000000    0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177015    0.046835    0.119018    0.136786    0.261857
         0.321398    0.405911    0.417654


 k=(   -0.111111    0.333333    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153340    0.010430    0.094539    0.121784    0.272506
         0.310660    0.405298    0.466395


 k=(   -0.222222    0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123731   -0.028499    0.074542    0.106718    0.284370
         0.353727    0.388664    0.484177


 k=(    0.666667    0.333333    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.112183   -0.040889    0.060245    0.109492    0.294664
         0.374003    0.427398    0.447929


 k=(    0.555556    0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.137448   -0.009311    0.062870    0.124941    0.312818
         0.354478    0.384368    0.458581


 k=(    0.444444    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.169973    0.030302    0.084740    0.163071    0.301054
         0.367741    0.373548    0.420108


 k=(    0.333333    0.222222    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.193047    0.062591    0.131789    0.178348    0.301176
         0.335912    0.340849    0.428281


 k=(    0.222222    0.222222    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205870    0.086461    0.177001    0.181749    0.279018
         0.328029    0.332508    0.438876


 k=(    0.111111    0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207409    0.108006    0.160523    0.168109    0.285369
         0.332392    0.359311    0.385707


 k=(    0.000000    0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197525    0.094416    0.142238    0.149381    0.254361
         0.336380    0.397164    0.398120


 k=(   -0.111111    0.222222    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176849    0.044455    0.128862    0.130134    0.257940
         0.323684    0.407121    0.421692


 k=(   -0.222222    0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148066   -0.007987    0.101580    0.126259    0.263204
         0.362270    0.397650    0.416522


 k=(   -0.333333    0.222222    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.125303   -0.040034    0.081577    0.131545    0.268441
         0.389923    0.403422    0.432844


 k=(    0.555556    0.222222    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.140640   -0.017235    0.073521    0.144831    0.282209
         0.386923    0.391653    0.466432


 k=(    0.444444    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164364    0.015746    0.099891    0.144000    0.310256
         0.333456    0.379711    0.406287


 k=(    0.333333    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190662    0.071768    0.120079    0.158743    0.294273
         0.342522    0.365721    0.389313


 k=(    0.222222    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207432    0.108615    0.161575    0.166256    0.285662
         0.333162    0.358179    0.385018


 k=(    0.111111    0.111111    0.222222):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213043    0.121784    0.157146    0.195707    0.312774
         0.317129    0.322974    0.399145


 k=(    0.000000    0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207136    0.100939    0.165595    0.170637    0.287360
         0.334453    0.358971    0.384559


 k=(   -0.111111    0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190060    0.064034    0.120845    0.167630    0.291979
         0.343828    0.370072    0.388810


 k=(   -0.222222    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163481    0.011448    0.098809    0.150328    0.303953
         0.338473    0.382773    0.408167


 k=(   -0.333333    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135115   -0.033524    0.092176    0.136540    0.307377
         0.324838    0.404002    0.447931


 k=(    0.555556    0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135828   -0.031835    0.092954    0.134153    0.312526
         0.320116    0.404984    0.441955


 k=(    0.444444    0.000000    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148461   -0.005369    0.092563    0.132447    0.269485
         0.357157    0.396462    0.410172


 k=(    0.333333    0.000000    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177115    0.047734    0.118891    0.136062    0.261448
         0.321909    0.405098    0.417353


 k=(    0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197518    0.094043    0.143555    0.148530    0.254437
         0.336156    0.397228    0.397871


 k=(    0.111111    0.000000    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207107    0.100180    0.165162    0.172169    0.287121
         0.333554    0.359990    0.384991


 k=(    0.000000    0.000000    0.222222):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205252    0.077742    0.179183    0.188601    0.283565
         0.328418    0.336848    0.435088


 k=(   -0.111111    0.000000    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192075    0.052984    0.133767    0.187444    0.305131
         0.332348    0.347760    0.425545


 k=(   -0.222222    0.000000    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168603    0.022149    0.085418    0.171324    0.306959
         0.361221    0.376654    0.417547


 k=(   -0.333333    0.000000    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138984   -0.020978    0.069508    0.152122    0.288610
         0.381218    0.386885    0.467507


 k=(    0.555556    0.000000    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124753   -0.040089    0.074716    0.138137    0.274946
         0.386089    0.395848    0.430784


 k=(    0.444444   -0.111111    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123567   -0.027820    0.067694    0.112882    0.289856
         0.347367    0.389882    0.476986


 k=(    0.333333   -0.111111    0.222222):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153316    0.010254    0.094749    0.121786    0.272672
         0.310392    0.405347    0.466203


 k=(    0.222222   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176724    0.043271    0.128821    0.131434    0.258504
         0.322792    0.407563    0.422292


 k=(    0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189931    0.062400    0.121385    0.169152    0.291682
         0.343831    0.370943    0.388690


 k=(    0.000000   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.191988    0.052294    0.133235    0.189232    0.305470
         0.330636    0.348713    0.425962


 k=(   -0.111111   -0.111111    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.182815    0.030216    0.151201    0.157566    0.291169
         0.330132    0.371984    0.403299


 k=(   -0.222222   -0.111111    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163041    0.009011    0.100947    0.149999    0.306635
         0.338017    0.380636    0.410278


 k=(   -0.333333   -0.111111    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134922   -0.017114    0.062569    0.131518    0.319007
         0.352541    0.383699    0.457112


 k=(   -0.444444   -0.111111    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109867   -0.044125    0.054571    0.116628    0.300793
         0.370371    0.427443    0.444635


 k=(    0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.094148   -0.053997    0.059720    0.084788    0.343905
         0.354258    0.374566    0.437306


 k=(    0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123225   -0.029806    0.075069    0.106977    0.285592
         0.352506    0.388550    0.485129


 k=(    0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147595   -0.009678    0.101760    0.127355    0.264368
         0.360929    0.398096    0.417170


 k=(    0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163096    0.009572    0.099092    0.151842    0.304560
         0.339874    0.381626    0.407855


 k=(    0.000000   -0.222222    0.222222):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168318    0.020508    0.085752    0.172720    0.308432
         0.359666    0.377538    0.416946


 k=(   -0.111111   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.162875    0.008380    0.100134    0.151661    0.305940
         0.339617    0.380580    0.408913


 k=(   -0.222222   -0.222222    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147123   -0.011326    0.102044    0.128258    0.265620
         0.359573    0.398734    0.417604


 k=(   -0.333333   -0.222222    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122445   -0.031656    0.074832    0.108409    0.286660
         0.351268    0.389671    0.484812


 k=(   -0.444444   -0.222222    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.093151   -0.055462    0.059530    0.085498    0.344610
         0.353929    0.375026    0.436425


 k=(    0.444444    0.666667    0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.096615   -0.050306    0.061324    0.081786    0.347245
         0.349107    0.373877    0.439890


 k=(    0.333333    0.666667    0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.111003   -0.043223    0.060638    0.110286    0.295923
         0.373970    0.425179    0.448588


 k=(   -0.222222    0.333333   -0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124092   -0.042565    0.081789    0.132688    0.269671
         0.390342    0.403805    0.431503


 k=(    0.111111   -0.333333    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134096   -0.035913    0.092091    0.138144    0.308086
         0.326456    0.403414    0.446731


 k=(    0.000000   -0.333333    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138217   -0.023189    0.069994    0.153165    0.290051
         0.381402    0.387016    0.466879


 k=(   -0.111111   -0.333333    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.134398   -0.018644    0.062630    0.132613    0.320691
         0.351619    0.383719    0.457000


 k=(   -0.222222   -0.333333    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122166   -0.032230    0.074085    0.109618    0.286422
         0.351297    0.390894    0.483560


 k=(   -0.333333   -0.333333    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103189   -0.051145    0.063630    0.115932    0.248598
         0.340468    0.473305    0.474329


 k=(   -0.444444   -0.333333    0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.087419   -0.062590    0.060015    0.094615    0.279535
         0.341077    0.448522    0.458583


 k=(    0.444444    0.555556    0.222222):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.125619   -0.022709    0.068680    0.108387    0.287291
         0.350084    0.386988    0.477856


 k=(    0.333333    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.136947   -0.010966    0.062871    0.126303    0.314061
         0.354132    0.384188    0.458110


 k=(    0.222222    0.555556    0.222222):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139908   -0.019434    0.073813    0.146161    0.283477
         0.387349    0.391636    0.465166


 k=(    0.111111    0.555556    0.222222):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134851   -0.034167    0.092737    0.135862    0.312800
         0.322186    0.404465    0.440685


 k=(    0.000000    0.555556    0.222222):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.123573   -0.042555    0.075107    0.138980    0.276311
         0.386926    0.395738    0.429469


 k=(    0.111111    0.444444   -0.222222):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.108672   -0.046350    0.054975    0.117220    0.302238
         0.370166    0.425578    0.444579


 k=(    0.222222    0.444444   -0.222222):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.092245   -0.056730    0.059156    0.086266    0.344654
         0.354550    0.375235    0.435431


 k=(    0.333333    0.444444   -0.222222):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.087520   -0.062451    0.059967    0.094615    0.279546
         0.341111    0.447989    0.458976


 k=(    0.555556    0.555556    0.222222):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.107273   -0.043338    0.059306    0.116251    0.248979
         0.340439    0.465700    0.471688


 k=(    0.444444    0.444444    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133965   -0.013123    0.091689    0.112436    0.242313
         0.282553    0.478357    0.479609


 k=(    0.333333    0.444444    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153962    0.013578    0.095020    0.117984    0.273928
         0.310355    0.401439    0.466415


 k=(    0.222222    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163954    0.013318    0.101748    0.144422    0.309846
         0.333670    0.379817    0.409434


 k=(    0.111111    0.444444    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163557   -0.006657    0.128474    0.163340    0.291734
         0.336920    0.349308    0.472868


 k=(    0.000000    0.444444    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153234   -0.024248    0.131539    0.154970    0.287247
         0.333237    0.353593    0.450162


 k=(   -0.111111    0.444444    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134345   -0.034884    0.088553    0.141139    0.309753
         0.328291    0.399158    0.441074


 k=(   -0.222222    0.444444    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109392   -0.045285    0.055939    0.115931    0.299234
         0.373711    0.426716    0.444049


 k=(    0.666667    0.444444    0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.085013   -0.065335    0.058133    0.096859    0.281647
         0.339114    0.447590    0.458852


 k=(    0.555556    0.444444    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105867   -0.045473    0.085103    0.091185    0.267915
         0.278179    0.465172    0.535563


 k=(    0.444444    0.333333    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.154184    0.014826    0.094831    0.116855    0.274321
         0.310367    0.400080    0.466706


 k=(    0.333333    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177438    0.050847    0.119082    0.132673    0.260201
         0.323817    0.404234    0.414963


 k=(    0.222222    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190538    0.069950    0.120442    0.160627    0.293815
         0.343155    0.366183    0.388870


 k=(    0.111111    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192524    0.056711    0.136148    0.179342    0.303750
         0.338630    0.342818    0.425291


 k=(    0.000000    0.333333    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183308    0.033764    0.146475    0.158205    0.291892
         0.336170    0.363793    0.398015


 k=(   -0.111111    0.333333    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163525    0.012148    0.096724    0.151477    0.307621
         0.340979    0.378533    0.401416


 k=(   -0.222222    0.333333    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135475   -0.015393    0.062341    0.130388    0.317514
         0.352834    0.384151    0.457789


 k=(   -0.333333    0.333333    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110837   -0.042924    0.057547    0.112982    0.299870
         0.367882    0.425662    0.447995


 k=(    0.555556    0.333333    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.124654   -0.025679    0.071768    0.106996    0.289837
         0.348725    0.384478    0.483080


 k=(    0.444444    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.164341    0.015434    0.100861    0.143312    0.309843
         0.332722    0.380353    0.408036


 k=(    0.333333    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190659    0.071675    0.120171    0.158780    0.294302
         0.342570    0.365583    0.389200


 k=(    0.222222    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207456    0.109357    0.162559    0.164315    0.285927
         0.334092    0.356952    0.384361


 k=(    0.111111    0.222222    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213097    0.123805    0.156560    0.193645    0.312082
         0.318933    0.321866    0.399000


 k=(    0.000000    0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207222    0.103162    0.163583    0.170046    0.287202
         0.335035    0.357772    0.384134


 k=(   -0.111111    0.222222    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190184    0.065645    0.120280    0.166232    0.292308
         0.343714    0.369133    0.388843


 k=(   -0.222222    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163645    0.012108    0.099590    0.148670    0.304609
         0.336847    0.382892    0.409575


 k=(   -0.333333    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135279   -0.033279    0.093603    0.134790    0.308053
         0.323021    0.405955    0.447795


 k=(    0.555556    0.222222    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135840   -0.031964    0.094409    0.132726    0.312952
         0.318483    0.406823    0.442854


 k=(    0.444444    0.111111    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.164094   -0.004657    0.128359    0.161826    0.290866
         0.335936    0.349020    0.473621


 k=(    0.333333    0.111111    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192717    0.058621    0.135848    0.177478    0.302885
         0.339512    0.341355    0.425857


 k=(    0.222222    0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.213150    0.125776    0.156343    0.191246    0.312132
         0.320051    0.320758    0.398808


 k=(    0.111111    0.111111    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222684    0.162995    0.191033    0.196226    0.293749
         0.311784    0.315371    0.365316


 k=(    0.000000    0.111111    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220647    0.163577    0.176761    0.187264    0.283109
         0.331963    0.335725    0.356947


 k=(   -0.111111    0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207152    0.101569    0.159982    0.176470    0.285395
         0.330992    0.362783    0.386983


 k=(   -0.222222    0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183293    0.033440    0.148897    0.157035    0.288995
         0.328882    0.371070    0.405582


 k=(   -0.333333    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153673   -0.023237    0.140149    0.145904    0.283969
         0.326670    0.361999    0.457095


 k=(    0.555556    0.111111    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140535   -0.042905    0.130210    0.150430    0.283956
         0.328007    0.353076    0.504344


 k=(    0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153920   -0.022244    0.131002    0.154288    0.286264
         0.331695    0.353685    0.451364


 k=(    0.333333    0.000000    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183537    0.035342    0.145587    0.157767    0.290886
         0.335100    0.363611    0.399129


 k=(    0.222222    0.000000    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207280    0.104601    0.162303    0.169819    0.286859
         0.334656    0.357645    0.384141


 k=(    0.111111    0.000000    0.111111):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220645    0.162490    0.178784    0.186434    0.283068
         0.332584    0.334987    0.356888


 k=(    0.000000    0.000000    0.111111):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222551    0.152073    0.194847    0.205397    0.299404
         0.308613    0.314664    0.362755


 k=(   -0.111111    0.000000    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212880    0.117065    0.156861    0.202952    0.309998
         0.317426    0.325257    0.399502


 k=(   -0.222222    0.000000    0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192301    0.055435    0.131287    0.188138    0.303768
         0.329556    0.347911    0.427258


 k=(   -0.333333    0.000000    0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163563   -0.006151    0.121909    0.171490    0.292382
         0.335051    0.345054    0.474844


 k=(   -0.444444    0.000000    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140251   -0.043219    0.122420    0.159331    0.286068
         0.331801    0.344748    0.503679


 k=(    0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135163   -0.032796    0.087321    0.141263    0.308397
         0.328378    0.397786    0.442426


 k=(    0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163726    0.013297    0.095722    0.151699    0.306275
         0.341232    0.379627    0.400137


 k=(    0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190179    0.065519    0.120390    0.166310    0.292347
         0.343768    0.368943    0.388644


 k=(    0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207089    0.099978    0.161277    0.176985    0.285788
         0.331220    0.362818    0.386721


 k=(    0.000000   -0.111111    0.111111):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212824    0.115324    0.157466    0.204799    0.310055
         0.316443    0.326205    0.399525


 k=(   -0.111111   -0.111111    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207027    0.098482    0.162649    0.177280    0.286204
         0.331526    0.362826    0.386492


 k=(   -0.222222   -0.111111    0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.190052    0.063844    0.121006    0.167761    0.292036
         0.343910    0.369781    0.388486


 k=(   -0.333333   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163539    0.012325    0.095851    0.152730    0.305216
         0.342108    0.380197    0.400434


 k=(   -0.444444   -0.111111    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.135010   -0.033171    0.087299    0.141636    0.307707
         0.329003    0.397654    0.443481


 k=(   -0.444444    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.110215   -0.043593    0.055035    0.115994    0.299269
         0.372170    0.428160    0.444184


 k=(   -0.333333    0.222222   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.135455   -0.015480    0.062405    0.130419    0.317380
         0.353226    0.383847    0.457520


 k=(   -0.222222    0.222222   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163424    0.010862    0.100688    0.148522    0.305908
         0.336650    0.381801    0.410628


 k=(   -0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183054    0.031810    0.149800    0.157595    0.290040
         0.329433    0.371613    0.404440


 k=(    0.000000    0.222222   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192102    0.053495    0.132021    0.189594    0.304755
         0.329219    0.348818    0.426846


 k=(    0.111111    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.189928    0.062332    0.121440    0.169203    0.291702
         0.343860    0.370838    0.388566


 k=(    0.222222    0.222222   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176604    0.042167    0.129303    0.132093    0.259076
         0.321956    0.408197    0.422721


 k=(   -0.333333   -0.222222    0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.153076    0.008973    0.095233    0.122648    0.272424
         0.310229    0.406675    0.466093


 k=(   -0.444444   -0.222222    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123287   -0.028681    0.068471    0.112873    0.288353
         0.348807    0.390904    0.477040


 k=(    0.555556    0.333333   -0.111111):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.084880   -0.065505    0.058179    0.096862    0.281635
         0.339082    0.448096    0.458487


 k=(   -0.333333    0.333333   -0.111111):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.109963   -0.044749    0.058555    0.112935    0.299741
         0.369494    0.424132    0.448280


 k=(   -0.222222    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134430   -0.035422    0.094931    0.134666    0.309496
         0.322790    0.407252    0.446450


 k=(   -0.111111    0.333333   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.152967   -0.025275    0.139960    0.147397    0.284959
         0.327547    0.362488    0.455916


 k=(    0.000000    0.333333   -0.111111):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163015   -0.008179    0.122420    0.172588    0.293285
         0.336249    0.345126    0.474881


 k=(    0.111111    0.333333   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.163145    0.010234    0.096918    0.153579    0.305477
         0.342680    0.379673    0.402086


 k=(    0.222222    0.333333   -0.111111):       231 3-d basis functions
 the   8 eigenvalues are:
        -0.152850    0.007838    0.095495    0.123567    0.272081
         0.310209    0.407944    0.466201


 k=(    0.333333    0.333333   -0.111111):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132475   -0.018217    0.096542    0.112137    0.241322
         0.282290    0.481735    0.486956


 k=(    0.444444    0.333333   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103905   -0.048994    0.084494    0.093828    0.266425
         0.279049    0.470734    0.536280


 k=(    0.444444    0.555556    0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.105474   -0.046201    0.085104    0.091618    0.267608
         0.278354    0.466346    0.535785


 k=(    0.333333    0.555556    0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.123954   -0.027655    0.072988    0.107177    0.289631
         0.348997    0.385295    0.484149


 k=(    0.222222    0.555556    0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134868   -0.034429    0.095587    0.133071    0.313379
         0.319206    0.408009    0.442586


 k=(    0.111111    0.555556    0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139371   -0.045422    0.130208    0.151791    0.284869
         0.328972    0.353441    0.505317


 k=(    0.000000    0.444444   -0.111111):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139081   -0.045742    0.122862    0.160195    0.286992
         0.333682    0.344232    0.504561


 k=(    0.111111    0.444444   -0.111111):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.134026   -0.035638    0.088490    0.141900    0.308331
         0.329566    0.398835    0.443288


 k=(    0.222222    0.444444   -0.111111):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.122575   -0.030590    0.069571    0.113063    0.288208
         0.349088    0.391632    0.478199


 k=(    0.333333    0.444444   -0.111111):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.103504   -0.049690    0.084495    0.094206    0.266139
         0.279235    0.471804    0.536222


 k=(    0.444444    0.444444   -0.111111):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.082576   -0.073238    0.084195    0.105421    0.236024
         0.268058    0.540735    0.551822


 k=(    0.444444    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.108811   -0.046953    0.104085    0.106164    0.228714
         0.243582    0.544760    0.544922


 k=(    0.333333    0.444444    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.132949   -0.016432    0.092452    0.114499    0.243349
         0.280855    0.478920    0.485051


 k=(    0.222222    0.444444    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.147834   -0.008180    0.096196    0.131337    0.267955
         0.358389    0.396533    0.413803


 k=(    0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153118   -0.024694    0.134005    0.152936    0.286286
         0.330061    0.358104    0.452365


 k=(    0.000000    0.444444    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.149636   -0.040270    0.158548    0.169602    0.261338
         0.324298    0.337392    0.491002


 k=(   -0.111111    0.444444    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.139196   -0.045612    0.125175    0.157520    0.286062
         0.330572    0.349195    0.504764


 k=(    0.222222    0.555556    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.123754   -0.042612    0.077516    0.136862    0.273348
         0.388057    0.399761    0.429887


 k=(    0.333333    0.555556    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.103731   -0.049622    0.060126    0.118356    0.250897
         0.338497    0.468006    0.474283


 k=(    0.555556    0.444444    0.000000):       230 3-d basis functions
 the   8 eigenvalues are:
        -0.079707   -0.076170    0.082127    0.107525    0.238142
         0.266012    0.539618    0.551498


 k=(    0.444444    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.133251   -0.015394    0.091473    0.114557    0.243553
         0.280892    0.477959    0.483860


 k=(    0.333333    0.333333    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.159763    0.022047    0.117957    0.120293    0.233696
         0.280191    0.469387    0.469711


 k=(    0.222222    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.176884    0.045093    0.122741    0.135240    0.260543
         0.321852    0.405856    0.420129


 k=(    0.111111    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183200    0.032890    0.148150    0.157764    0.291171
         0.332786    0.367583    0.400500


 k=(    0.000000    0.333333    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178492    0.010371    0.165020    0.176112    0.268754
         0.329258    0.341963    0.491053


 k=(   -0.111111    0.333333    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163237   -0.007526    0.124298    0.169449    0.292537
         0.336007    0.347386    0.472820


 k=(   -0.222222    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.138909   -0.021608    0.071192    0.150741    0.287038
         0.383657    0.389294    0.465445


 k=(   -0.333333    0.333333    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.110247   -0.042467    0.046973    0.131318    0.265263
         0.417050    0.440397    0.461407


 k=(    0.555556    0.333333    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.104602   -0.047998    0.059255    0.118421    0.250973
         0.338477    0.466573    0.473703


 k=(    0.444444    0.222222    0.000000):       238 3-d basis functions
 the   8 eigenvalues are:
        -0.148365   -0.005998    0.094201    0.131532    0.268073
         0.358455    0.395997    0.411946


 k=(    0.333333    0.222222    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.177052    0.046863    0.120729    0.135302    0.260759
         0.322201    0.405010    0.418650


 k=(    0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.197514    0.093823    0.144641    0.147719    0.254482
         0.336022    0.397380    0.397607


 k=(    0.111111    0.222222    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207165    0.101583    0.163557    0.172294    0.286732
         0.333155    0.359928    0.385068


 k=(    0.000000    0.222222    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205377    0.079451    0.177335    0.188797    0.282515
         0.326951    0.337397    0.435840


 k=(   -0.111111    0.222222    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192275    0.054911    0.133023    0.186056    0.304041
         0.332471    0.347134    0.425966


 k=(   -0.222222    0.222222    0.000000):       234 3-d basis functions
 the   8 eigenvalues are:
        -0.168886    0.023848    0.085018    0.169954    0.305409
         0.362896    0.375768    0.418153


 k=(   -0.333333    0.222222    0.000000):       236 3-d basis functions
 the   8 eigenvalues are:
        -0.139324   -0.020177    0.070088    0.150920    0.287076
         0.382231    0.388168    0.466730


 k=(    0.555556    0.222222    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.124846   -0.040113    0.075910    0.137088    0.273441
         0.386684    0.397892    0.430942


 k=(    0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.153865   -0.022466    0.132202    0.153303    0.285776
         0.330090    0.355980    0.452443


 k=(    0.333333    0.111111    0.000000):       233 3-d basis functions
 the   8 eigenvalues are:
        -0.183484    0.034899    0.146450    0.157521    0.290522
         0.333384    0.365559    0.400359


 k=(    0.222222    0.111111    0.000000):       235 3-d basis functions
 the   8 eigenvalues are:
        -0.207252    0.103778    0.162515    0.170733    0.286627
         0.333671    0.358784    0.384644


 k=(    0.111111    0.111111    0.000000):       242 3-d basis functions
 the   8 eigenvalues are:
        -0.220645    0.161928    0.180116    0.185729    0.283044
         0.333357    0.334143    0.356853


 k=(    0.000000    0.111111    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222578    0.154112    0.192584    0.205309    0.297998
         0.308243    0.316002    0.363265


 k=(   -0.111111    0.111111    0.000000):       245 3-d basis functions
 the   8 eigenvalues are:
        -0.212935    0.118959    0.156049    0.201202    0.309630
         0.318889    0.324116    0.399460


 k=(   -0.222222    0.111111    0.000000):       237 3-d basis functions
 the   8 eigenvalues are:
        -0.192387    0.056162    0.131758    0.186388    0.303394
         0.331112    0.347160    0.426794


 k=(   -0.333333    0.111111    0.000000):       240 3-d basis functions
 the   8 eigenvalues are:
        -0.163673   -0.005822    0.122831    0.169937    0.291997
         0.334878    0.346244    0.473820


 k=(   -0.444444    0.111111    0.000000):       239 3-d basis functions
 the   8 eigenvalues are:
        -0.140307   -0.043155    0.123553    0.158017    0.285594
         0.330264    0.347224    0.503743


 k=(   -0.444444    0.000000    0.000000):       241 3-d basis functions
 the   8 eigenvalues are:
        -0.150595   -0.037986    0.157588    0.169434    0.260580
         0.323069    0.336767    0.490123


 k=(   -0.333333    0.000000    0.000000):       232 3-d basis functions
 the   8 eigenvalues are:
        -0.178866    0.012149    0.163959    0.175861    0.267931
         0.328054    0.341367    0.491123


 k=(   -0.222222    0.000000    0.000000):       244 3-d basis functions
 the   8 eigenvalues are:
        -0.205502    0.081188    0.176028    0.188365    0.281542
         0.326170    0.337250    0.436589


 k=(   -0.111111    0.000000    0.000000):       250 3-d basis functions
 the   8 eigenvalues are:
        -0.222604    0.156268    0.190780    0.204597    0.296719
         0.308458    0.316681    0.363765


 k=(    0.000000    0.000000    0.000000):       259 3-d basis functions
 the   8 eigenvalues are:
        -0.228429    0.198311    0.203902    0.215994    0.293994
         0.300756    0.304268    0.321011


 fermi energy and band-weighting factors:

FERMIE:
          first approx. to ef    (T=0)  :  0.215994 htr   (energy of the highest occ. eigenvalue)
          number of occ. states  (T=0)  :      1460
          first approx. to seigv (T=0)  :  0.176446 htr
          sum of weights of occ. states :  4.000000
          sum of semicore eigenvalues   :  0.000000 htr
          sum of semicore charge        :  0.000000 e



FERHIS:  Fermi-Energy by histogram:

          bandgap                     :   0.012007 htr
          charge neutrality (T=0)     :   0.000000    (zero if the highest occ. eigenvalue is "entirely" occupied)

     EF_NEWTON:  Adjust Fermi-Energy by Newton-Method.

               Number of iterations needed  :   4
               The error in the weight is   :  0.81924E-14
               The error in ef is           : -0.58845E-12 htr


     -->  new fermi energy            :   0.221269 htr
          valence charge              :   8.000000 e 
          actual charge blw ef-8kt    :   7.997257 e 
          actual charge blw ef+8kt    :   8.000000 e 
          number of occ. states       :      1463
          sum of the valence weights  :   4.000000
          entropy         :   0.000200 *kb htr/K =   0.00000 htr/K

          sum of val. single particle energies:         0.1764462853 htr



          valence density: spin= 1

     l-like charge
     atom     s        p        d        f        total
 --> 1    0.89050  1.17094  0.08212  0.00603    2.15119
 --> 2    0.89050  1.17094  0.08212  0.00603    2.15119
 Energy Parameters for spin:           1
 Max. mismatch of energy parameters:    0.000000

     energy parameters for window 1
     atom     s        p        d        f
 -->  1   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0
 -->  2   3.00000  3.00000  3.00000  4.00000 change: FFFF skiplo:   0

          total charge for spin  1=    8.000000
          interst. charge =       3.697628
          mt charge=              2.151186    2.151186

          total charge  =    8.000000


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.2037        2.
               2.   0.   0.5   -4.7107        2.
               2.   1.   0.5   -3.1110        2.
               2.   1.   1.5   -3.0872        4.
          atom type  1  (spin 1) 
          kinetic energy=  0.285372365585E+03     sum of the eigenvalues= -0.158399795220E+03
          0.00178912  electrons lost from core.


          z= 14.     r(1)=  0.250526E-04     dx=0.016000     m.t.index= 711
               n    l     j    energy       weight
               1.   0.   0.5  -65.2037        2.
               2.   0.   0.5   -4.7107        2.
               2.   1.   0.5   -3.1110        2.
               2.   1.   1.5   -3.0872        4.
          atom type  2  (spin 1) 
          kinetic energy=  0.285372365596E+03     sum of the eigenvalues= -0.158399795284E+03
          0.00178912  electrons lost from core.

          alpha=   1.39394     acoff=   0.09674

          alpha=   1.39394     acoff=   0.09674

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*



     t o t a l  e n e r g y

          sum of eigenvalues =              -316.6231442181

          density-coulomb potential int     -844.4026101214

          density-effective potential i     -898.3127842219

          charge density-ex.-corr.energ      -41.7445141051
 
 FORCES: EQUATION A3 FOR ATOM TYPE   1
 FX_A3= -0.013532  0.000000 FY_A3= -0.008921  0.000000 FZ_A3= -0.004206  0.000000
 FORCES: EQUATION A3 FOR ATOM TYPE   2
 FX_A3=  0.013532  0.000000 FY_A3=  0.008921  0.000000 FZ_A3=  0.004206  0.000000

          el.-nucl. inter. diff. m.t.        342.2718666164

          Madelung term for atom type:        -6.6358159919

          el.-nucl. inter. diff. m.t.        342.2718665391

          Madelung term for atom type:        -6.6358160211


 ----> total energy=                        -580.0715443306 htr

 ***** TOTAL FORCES ON ATOMS ***** 

 TOTAL FORCE FOR ATOM TYPE=  1  X=  1.292   Y=  1.292   Z=  1.292
                       FX_TOT=-0.013532 FY_TOT=-0.008921 FZ_TOT=-0.004206
 TOTAL FORCE FOR ATOM TYPE=  2  X= -1.369   Y= -1.344   Z= -1.318
                       FX_TOT= 0.013532 FY_TOT= 0.008921 FZ_TOT= 0.004206
eps_force= 0.00001max= 0.00000


 ---->(tkb*entropy) TS=                        0.0000001998 htr


 ----> free energy=                         -580.0715445303 htr


      extrapolation for T->0
 ----> total electron energy=               -580.0715444304 htr
 wrtdop title:alpha Si                                                                ordered*
 wrtdop title:alpha Si                                                                ordered*
     <vi|w|Fm> for it 2       0.000000
     <vi|w|Fm> for it 3       0.000000
     <vi|w|Fm> for it 4       0.000000
     <vi|w|Fm> for it 5      -0.000003
     <vi|w|Fm> for it 6      -0.000002
     <vi|w|Fm> for it 7      -0.000008
     <vi|w|Fm> for it 8      -0.000122
     <vi|w|Fm> for it 9       0.000005
     <vi|w|Fm> for it10      -0.001350
     <vi|w|Fm> for it11      -0.002621
     <vi|w|Fm> for it12       0.000230
     <vi|w|Fm> for it13       0.041224
     <vi|w|Fm> for it14      -0.043505
     <vi|w|Fm> for it15       0.749163
     <vi|w|Fm> for it16      -0.279993
     <vi|w|Fm> for it17      -0.342074
     <vi|w|Fm> for it18       0.147794
     <vi|w|Fm> for it19      14.817526

----> distance of charge densities for spin  1        it= 20:   0.000000 me/bohr**3

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000

          zc=    28.000000     qfix=    1.000000

          total charge for spin  1=   28.000000
          interst. charge =       3.701105
          mt charge=             12.149447   12.149447

          total charge  =   28.000000
 wrtdop title:alpha Si                                                                ordered*

     ******* it= 20  is completed********


