test_laphi.f90 running on 0<x<1 for N= 6
  L_order,point  order is highest power of x, point 1,n
     L_n,j(x) = product i=1,n i/=j (x-x_i)/(x_j-x_i)
     for points x_1, x_2, ,. , x_n
     generate L_n,j(x) for n=2,6  j=1,n and derivatives to 4th
 xg( 1 )=  0.0000000000000000E+000
 xg( 2 )=   1.0000000000000000
L_2,1( 0.000)=  1.000, yp= -1.00, ypp=  -0.00, yppp=   -0.0, ypppp=   -0.0
L_2,1( 0.250)=  0.750, yp= -1.00, ypp=  -0.00, yppp=   -0.0, ypppp=   -0.0
L_2,1( 0.500)=  0.500, yp= -1.00, ypp=  -0.00, yppp=   -0.0, ypppp=   -0.0
L_2,1( 0.750)=  0.250, yp= -1.00, ypp=  -0.00, yppp=   -0.0, ypppp=   -0.0
L_2,1( 1.000)= -0.000, yp= -1.00, ypp=  -0.00, yppp=   -0.0, ypppp=   -0.0
  
L_2,2( 0.000)=  0.000, yp=  1.00, ypp=   0.00, yppp=    0.0, ypppp=    0.0
L_2,2( 0.250)=  0.250, yp=  1.00, ypp=   0.00, yppp=    0.0, ypppp=    0.0
L_2,2( 0.500)=  0.500, yp=  1.00, ypp=   0.00, yppp=    0.0, ypppp=    0.0
L_2,2( 0.750)=  0.750, yp=  1.00, ypp=   0.00, yppp=    0.0, ypppp=    0.0
L_2,2( 1.000)=  1.000, yp=  1.00, ypp=   0.00, yppp=    0.0, ypppp=    0.0
  
  
 xg( 1 )=  0.0000000000000000E+000
 xg( 2 )=   0.5000000000000000
 xg( 3 )=   1.0000000000000000
L_3,1( 0.000)=  1.000, yp= -3.00, ypp=   4.00, yppp=    0.0, ypppp=    0.0
L_3,1( 0.125)=  0.656, yp= -2.50, ypp=   4.00, yppp=    0.0, ypppp=    0.0
L_3,1( 0.250)=  0.375, yp= -2.00, ypp=   4.00, yppp=    0.0, ypppp=    0.0
L_3,1( 0.375)=  0.156, yp= -1.50, ypp=   4.00, yppp=    0.0, ypppp=    0.0
L_3,1( 0.500)= -0.000, yp= -1.00, ypp=   4.00, yppp=    0.0, ypppp=    0.0
L_3,1( 0.625)= -0.094, yp= -0.50, ypp=   4.00, yppp=    0.0, ypppp=    0.0
L_3,1( 0.750)= -0.125, yp=  0.00, ypp=   4.00, yppp=    0.0, ypppp=    0.0
L_3,1( 0.875)= -0.094, yp=  0.50, ypp=   4.00, yppp=    0.0, ypppp=    0.0
L_3,1( 1.000)=  0.000, yp=  1.00, ypp=   4.00, yppp=    0.0, ypppp=    0.0
  
L_3,2( 0.000)=  0.000, yp=  4.00, ypp=  -8.00, yppp=   -0.0, ypppp=   -0.0
L_3,2( 0.125)=  0.438, yp=  3.00, ypp=  -8.00, yppp=   -0.0, ypppp=   -0.0
L_3,2( 0.250)=  0.750, yp=  2.00, ypp=  -8.00, yppp=   -0.0, ypppp=   -0.0
L_3,2( 0.375)=  0.938, yp=  1.00, ypp=  -8.00, yppp=   -0.0, ypppp=   -0.0
L_3,2( 0.500)=  1.000, yp= -0.00, ypp=  -8.00, yppp=   -0.0, ypppp=   -0.0
L_3,2( 0.625)=  0.938, yp= -1.00, ypp=  -8.00, yppp=   -0.0, ypppp=   -0.0
L_3,2( 0.750)=  0.750, yp= -2.00, ypp=  -8.00, yppp=   -0.0, ypppp=   -0.0
L_3,2( 0.875)=  0.438, yp= -3.00, ypp=  -8.00, yppp=   -0.0, ypppp=   -0.0
L_3,2( 1.000)= -0.000, yp= -4.00, ypp=  -8.00, yppp=   -0.0, ypppp=   -0.0
  
L_3,3( 0.000)= -0.000, yp= -1.00, ypp=   4.00, yppp=    0.0, ypppp=    0.0
L_3,3( 0.125)= -0.094, yp= -0.50, ypp=   4.00, yppp=    0.0, ypppp=    0.0
L_3,3( 0.250)= -0.125, yp=  0.00, ypp=   4.00, yppp=    0.0, ypppp=    0.0
L_3,3( 0.375)= -0.094, yp=  0.50, ypp=   4.00, yppp=    0.0, ypppp=    0.0
L_3,3( 0.500)=  0.000, yp=  1.00, ypp=   4.00, yppp=    0.0, ypppp=    0.0
L_3,3( 0.625)=  0.156, yp=  1.50, ypp=   4.00, yppp=    0.0, ypppp=    0.0
L_3,3( 0.750)=  0.375, yp=  2.00, ypp=   4.00, yppp=    0.0, ypppp=    0.0
L_3,3( 0.875)=  0.656, yp=  2.50, ypp=   4.00, yppp=    0.0, ypppp=    0.0
L_3,3( 1.000)=  1.000, yp=  3.00, ypp=   4.00, yppp=    0.0, ypppp=    0.0
  
  
 xg( 1 )=  0.0000000000000000E+000
 xg( 2 )=   0.3333333333333333
 xg( 3 )=   0.6666666666666666
 xg( 4 )=   1.0000000000000000
L_4,1( 0.000)=  1.000, yp= -5.50, ypp=  18.00, yppp=  -27.0, ypppp=   -0.0
L_4,1( 0.083)=  0.602, yp= -4.09, ypp=  15.75, yppp=  -27.0, ypppp=   -0.0
L_4,1( 0.167)=  0.313, yp= -2.88, ypp=  13.50, yppp=  -27.0, ypppp=   -0.0
L_4,1( 0.250)=  0.117, yp= -1.84, ypp=  11.25, yppp=  -27.0, ypppp=   -0.0
L_4,1( 0.333)= -0.000, yp= -1.00, ypp=   9.00, yppp=  -27.0, ypppp=   -0.0
L_4,1( 0.417)= -0.055, yp= -0.34, ypp=   6.75, yppp=  -27.0, ypppp=   -0.0
L_4,1( 0.500)= -0.062, yp=  0.13, ypp=   4.50, yppp=  -27.0, ypppp=   -0.0
L_4,1( 0.583)= -0.039, yp=  0.41, ypp=   2.25, yppp=  -27.0, ypppp=   -0.0
L_4,1( 0.667)=  0.000, yp=  0.50, ypp=   0.00, yppp=  -27.0, ypppp=   -0.0
L_4,1( 0.750)=  0.039, yp=  0.41, ypp=  -2.25, yppp=  -27.0, ypppp=   -0.0
L_4,1( 0.833)=  0.063, yp=  0.13, ypp=  -4.50, yppp=  -27.0, ypppp=   -0.0
L_4,1( 0.917)=  0.055, yp= -0.34, ypp=  -6.75, yppp=  -27.0, ypppp=   -0.0
L_4,1( 1.000)= -0.000, yp= -1.00, ypp=  -9.00, yppp=  -27.0, ypppp=   -0.0
  
L_4,2( 0.000)=  0.000, yp=  9.00, ypp= -45.00, yppp=   81.0, ypppp=    0.0
L_4,2( 0.083)=  0.602, yp=  5.53, ypp= -38.25, yppp=   81.0, ypppp=    0.0
L_4,2( 0.167)=  0.937, yp=  2.62, ypp= -31.50, yppp=   81.0, ypppp=    0.0
L_4,2( 0.250)=  1.055, yp=  0.28, ypp= -24.75, yppp=   81.0, ypppp=    0.0
L_4,2( 0.333)=  1.000, yp= -1.50, ypp= -18.00, yppp=   81.0, ypppp=    0.0
L_4,2( 0.417)=  0.820, yp= -2.72, ypp= -11.25, yppp=   81.0, ypppp=    0.0
L_4,2( 0.500)=  0.562, yp= -3.37, ypp=  -4.50, yppp=   81.0, ypppp=    0.0
L_4,2( 0.583)=  0.273, yp= -3.47, ypp=   2.25, yppp=   81.0, ypppp=    0.0
L_4,2( 0.667)= -0.000, yp= -3.00, ypp=   9.00, yppp=   81.0, ypppp=    0.0
L_4,2( 0.750)= -0.211, yp= -1.97, ypp=  15.75, yppp=   81.0, ypppp=    0.0
L_4,2( 0.833)= -0.312, yp= -0.38, ypp=  22.50, yppp=   81.0, ypppp=    0.0
L_4,2( 0.917)= -0.258, yp=  1.78, ypp=  29.25, yppp=   81.0, ypppp=    0.0
L_4,2( 1.000)=  0.000, yp=  4.50, ypp=  36.00, yppp=   81.0, ypppp=    0.0
  
L_4,3( 0.000)= -0.000, yp= -4.50, ypp=  36.00, yppp=  -81.0, ypppp=   -0.0
L_4,3( 0.083)= -0.258, yp= -1.78, ypp=  29.25, yppp=  -81.0, ypppp=   -0.0
L_4,3( 0.167)= -0.312, yp=  0.37, ypp=  22.50, yppp=  -81.0, ypppp=   -0.0
L_4,3( 0.250)= -0.211, yp=  1.97, ypp=  15.75, yppp=  -81.0, ypppp=   -0.0
L_4,3( 0.333)=  0.000, yp=  3.00, ypp=   9.00, yppp=  -81.0, ypppp=   -0.0
L_4,3( 0.417)=  0.273, yp=  3.47, ypp=   2.25, yppp=  -81.0, ypppp=   -0.0
L_4,3( 0.500)=  0.562, yp=  3.37, ypp=  -4.50, yppp=  -81.0, ypppp=   -0.0
L_4,3( 0.583)=  0.820, yp=  2.72, ypp= -11.25, yppp=  -81.0, ypppp=   -0.0
L_4,3( 0.667)=  1.000, yp=  1.50, ypp= -18.00, yppp=  -81.0, ypppp=   -0.0
L_4,3( 0.750)=  1.055, yp= -0.28, ypp= -24.75, yppp=  -81.0, ypppp=   -0.0
L_4,3( 0.833)=  0.938, yp= -2.62, ypp= -31.50, yppp=  -81.0, ypppp=   -0.0
L_4,3( 0.917)=  0.602, yp= -5.53, ypp= -38.25, yppp=  -81.0, ypppp=   -0.0
L_4,3( 1.000)= -0.000, yp= -9.00, ypp= -45.00, yppp=  -81.0, ypppp=   -0.0
  
L_4,4( 0.000)=  0.000, yp=  1.00, ypp=  -9.00, yppp=   27.0, ypppp=    0.0
L_4,4( 0.083)=  0.055, yp=  0.34, ypp=  -6.75, yppp=   27.0, ypppp=    0.0
L_4,4( 0.167)=  0.062, yp= -0.12, ypp=  -4.50, yppp=   27.0, ypppp=    0.0
L_4,4( 0.250)=  0.039, yp= -0.41, ypp=  -2.25, yppp=   27.0, ypppp=    0.0
L_4,4( 0.333)= -0.000, yp= -0.50, ypp=   0.00, yppp=   27.0, ypppp=    0.0
L_4,4( 0.417)= -0.039, yp= -0.41, ypp=   2.25, yppp=   27.0, ypppp=    0.0
L_4,4( 0.500)= -0.062, yp= -0.12, ypp=   4.50, yppp=   27.0, ypppp=    0.0
L_4,4( 0.583)= -0.055, yp=  0.34, ypp=   6.75, yppp=   27.0, ypppp=    0.0
L_4,4( 0.667)=  0.000, yp=  1.00, ypp=   9.00, yppp=   27.0, ypppp=    0.0
L_4,4( 0.750)=  0.117, yp=  1.84, ypp=  11.25, yppp=   27.0, ypppp=    0.0
L_4,4( 0.833)=  0.312, yp=  2.87, ypp=  13.50, yppp=   27.0, ypppp=    0.0
L_4,4( 0.917)=  0.602, yp=  4.09, ypp=  15.75, yppp=   27.0, ypppp=    0.0
L_4,4( 1.000)=  1.000, yp=  5.50, ypp=  18.00, yppp=   27.0, ypppp=    0.0
  
  
 xg( 1 )=  0.0000000000000000E+000
 xg( 2 )=   0.2500000000000000
 xg( 3 )=   0.5000000000000000
 xg( 4 )=   0.7500000000000000
 xg( 5 )=   1.0000000000000000
L_5,1( 0.000)=  1.000, yp= -8.33, ypp=  46.67, yppp= -160.0, ypppp=  256.0
L_5,1( 0.062)=  0.564, yp= -5.72, ypp=  37.17, yppp= -144.0, ypppp=  256.0
L_5,1( 0.125)=  0.273, yp= -3.67, ypp=  28.67, yppp= -128.0, ypppp=  256.0
L_5,1( 0.188)=  0.095, yp= -2.11, ypp=  21.17, yppp= -112.0, ypppp=  256.0
L_5,1( 0.250)= -0.000, yp= -1.00, ypp=  14.67, yppp=  -96.0, ypppp=  256.0
L_5,1( 0.312)= -0.038, yp= -0.26, ypp=   9.17, yppp=  -80.0, ypppp=  256.0
L_5,1( 0.375)= -0.039, yp=  0.17, ypp=   4.67, yppp=  -64.0, ypppp=  256.0
L_5,1( 0.438)= -0.022, yp=  0.34, ypp=   1.17, yppp=  -48.0, ypppp=  256.0
L_5,1( 0.500)=  0.000, yp=  0.33, ypp=  -1.33, yppp=  -32.0, ypppp=  256.0
L_5,1( 0.562)=  0.017, yp=  0.20, ypp=  -2.83, yppp=  -16.0, ypppp=  256.0
L_5,1( 0.625)=  0.023, yp=  0.00, ypp=  -3.33, yppp=    0.0, ypppp=  256.0
L_5,1( 0.688)=  0.017, yp= -0.20, ypp=  -2.83, yppp=   16.0, ypppp=  256.0
L_5,1( 0.750)= -0.000, yp= -0.33, ypp=  -1.33, yppp=   32.0, ypppp=  256.0
L_5,1( 0.812)= -0.022, yp= -0.34, ypp=   1.17, yppp=   48.0, ypppp=  256.0
L_5,1( 0.875)= -0.039, yp= -0.17, ypp=   4.67, yppp=   64.0, ypppp=  256.0
L_5,1( 0.938)= -0.038, yp=  0.26, ypp=   9.17, yppp=   80.0, ypppp=  256.0
L_5,1( 1.000)=  0.000, yp=  1.00, ypp=  14.67, yppp=   96.0, ypppp=  256.0
  
L_5,2( 0.000)=  0.000, yp= 16.00, ypp=-138.67, yppp=  576.0, ypppp=-1024.0
L_5,2( 0.062)=  0.752, yp=  8.42, ypp=-104.67, yppp=  512.0, ypppp=-1024.0
L_5,2( 0.125)=  1.094, yp=  2.83, ypp= -74.67, yppp=  448.0, ypppp=-1024.0
L_5,2( 0.188)=  1.143, yp= -1.00, ypp= -48.67, yppp=  384.0, ypppp=-1024.0
L_5,2( 0.250)=  1.000, yp= -3.33, ypp= -26.67, yppp=  320.0, ypppp=-1024.0
L_5,2( 0.312)=  0.752, yp= -4.42, ypp=  -8.67, yppp=  256.0, ypppp=-1024.0
L_5,2( 0.375)=  0.469, yp= -4.50, ypp=   5.33, yppp=  192.0, ypppp=-1024.0
L_5,2( 0.438)=  0.205, yp= -3.83, ypp=  15.33, yppp=  128.0, ypppp=-1024.0
L_5,2( 0.500)= -0.000, yp= -2.67, ypp=  21.33, yppp=   64.0, ypppp=-1024.0
L_5,2( 0.562)= -0.123, yp= -1.25, ypp=  23.33, yppp=   -0.0, ypppp=-1024.0
L_5,2( 0.625)= -0.156, yp=  0.17, ypp=  21.33, yppp=  -64.0, ypppp=-1024.0
L_5,2( 0.688)= -0.107, yp=  1.33, ypp=  15.33, yppp= -128.0, ypppp=-1024.0
L_5,2( 0.750)=  0.000, yp=  2.00, ypp=   5.33, yppp= -192.0, ypppp=-1024.0
L_5,2( 0.812)=  0.127, yp=  1.92, ypp=  -8.67, yppp= -256.0, ypppp=-1024.0
L_5,2( 0.875)=  0.219, yp=  0.83, ypp= -26.67, yppp= -320.0, ypppp=-1024.0
L_5,2( 0.938)=  0.205, yp= -1.50, ypp= -48.67, yppp= -384.0, ypppp=-1024.0
L_5,2( 1.000)= -0.000, yp= -5.33, ypp= -74.67, yppp= -448.0, ypppp=-1024.0
  
L_5,3( 0.000)= -0.000, yp=-12.00, ypp= 152.00, yppp= -768.0, ypppp= 1536.0
L_5,3( 0.062)= -0.483, yp= -3.94, ypp= 107.00, yppp= -672.0, ypppp= 1536.0
L_5,3( 0.125)= -0.547, yp=  1.50, ypp=  68.00, yppp= -576.0, ypppp= 1536.0
L_5,3( 0.188)= -0.343, yp=  4.69, ypp=  35.00, yppp= -480.0, ypppp= 1536.0
L_5,3( 0.250)=  0.000, yp=  6.00, ypp=   8.00, yppp= -384.0, ypppp= 1536.0
L_5,3( 0.312)=  0.376, yp=  5.81, ypp= -13.00, yppp= -288.0, ypppp= 1536.0
L_5,3( 0.375)=  0.703, yp=  4.50, ypp= -28.00, yppp= -192.0, ypppp= 1536.0
L_5,3( 0.438)=  0.923, yp=  2.44, ypp= -37.00, yppp=  -96.0, ypppp= 1536.0
L_5,3( 0.500)=  1.000, yp=  0.00, ypp= -40.00, yppp=    0.0, ypppp= 1536.0
L_5,3( 0.562)=  0.923, yp= -2.44, ypp= -37.00, yppp=   96.0, ypppp= 1536.0
L_5,3( 0.625)=  0.703, yp= -4.50, ypp= -28.00, yppp=  192.0, ypppp= 1536.0
L_5,3( 0.688)=  0.376, yp= -5.81, ypp= -13.00, yppp=  288.0, ypppp= 1536.0
L_5,3( 0.750)= -0.000, yp= -6.00, ypp=   8.00, yppp=  384.0, ypppp= 1536.0
L_5,3( 0.812)= -0.343, yp= -4.69, ypp=  35.00, yppp=  480.0, ypppp= 1536.0
L_5,3( 0.875)= -0.547, yp= -1.50, ypp=  68.00, yppp=  576.0, ypppp= 1536.0
L_5,3( 0.938)= -0.483, yp=  3.94, ypp= 107.00, yppp=  672.0, ypppp= 1536.0
L_5,3( 1.000)=  0.000, yp= 12.00, ypp= 152.00, yppp=  768.0, ypppp= 1536.0
  
L_5,4( 0.000)=  0.000, yp=  5.33, ypp= -74.67, yppp=  448.0, ypppp=-1024.0
L_5,4( 0.062)=  0.205, yp=  1.50, ypp= -48.67, yppp=  384.0, ypppp=-1024.0
L_5,4( 0.125)=  0.219, yp= -0.83, ypp= -26.67, yppp=  320.0, ypppp=-1024.0
L_5,4( 0.188)=  0.127, yp= -1.92, ypp=  -8.67, yppp=  256.0, ypppp=-1024.0
L_5,4( 0.250)= -0.000, yp= -2.00, ypp=   5.33, yppp=  192.0, ypppp=-1024.0
L_5,4( 0.312)= -0.107, yp= -1.33, ypp=  15.33, yppp=  128.0, ypppp=-1024.0
L_5,4( 0.375)= -0.156, yp= -0.17, ypp=  21.33, yppp=   64.0, ypppp=-1024.0
L_5,4( 0.438)= -0.123, yp=  1.25, ypp=  23.33, yppp=   -0.0, ypppp=-1024.0
L_5,4( 0.500)=  0.000, yp=  2.67, ypp=  21.33, yppp=  -64.0, ypppp=-1024.0
L_5,4( 0.562)=  0.205, yp=  3.83, ypp=  15.33, yppp= -128.0, ypppp=-1024.0
L_5,4( 0.625)=  0.469, yp=  4.50, ypp=   5.33, yppp= -192.0, ypppp=-1024.0
L_5,4( 0.688)=  0.752, yp=  4.42, ypp=  -8.67, yppp= -256.0, ypppp=-1024.0
L_5,4( 0.750)=  1.000, yp=  3.33, ypp= -26.67, yppp= -320.0, ypppp=-1024.0
L_5,4( 0.812)=  1.143, yp=  1.00, ypp= -48.67, yppp= -384.0, ypppp=-1024.0
L_5,4( 0.875)=  1.094, yp= -2.83, ypp= -74.67, yppp= -448.0, ypppp=-1024.0
L_5,4( 0.938)=  0.752, yp= -8.42, ypp=-104.67, yppp= -512.0, ypppp=-1024.0
L_5,4( 1.000)= -0.000, yp=-16.00, ypp=-138.67, yppp= -576.0, ypppp=-1024.0
  
L_5,5( 0.000)= -0.000, yp= -1.00, ypp=  14.67, yppp=  -96.0, ypppp=  256.0
L_5,5( 0.062)= -0.038, yp= -0.26, ypp=   9.17, yppp=  -80.0, ypppp=  256.0
L_5,5( 0.125)= -0.039, yp=  0.17, ypp=   4.67, yppp=  -64.0, ypppp=  256.0
L_5,5( 0.188)= -0.022, yp=  0.34, ypp=   1.17, yppp=  -48.0, ypppp=  256.0
L_5,5( 0.250)=  0.000, yp=  0.33, ypp=  -1.33, yppp=  -32.0, ypppp=  256.0
L_5,5( 0.312)=  0.017, yp=  0.20, ypp=  -2.83, yppp=  -16.0, ypppp=  256.0
L_5,5( 0.375)=  0.023, yp=  0.00, ypp=  -3.33, yppp=    0.0, ypppp=  256.0
L_5,5( 0.438)=  0.017, yp= -0.20, ypp=  -2.83, yppp=   16.0, ypppp=  256.0
L_5,5( 0.500)= -0.000, yp= -0.33, ypp=  -1.33, yppp=   32.0, ypppp=  256.0
L_5,5( 0.562)= -0.022, yp= -0.34, ypp=   1.17, yppp=   48.0, ypppp=  256.0
L_5,5( 0.625)= -0.039, yp= -0.17, ypp=   4.67, yppp=   64.0, ypppp=  256.0
L_5,5( 0.688)= -0.038, yp=  0.26, ypp=   9.17, yppp=   80.0, ypppp=  256.0
L_5,5( 0.750)=  0.000, yp=  1.00, ypp=  14.67, yppp=   96.0, ypppp=  256.0
L_5,5( 0.812)=  0.095, yp=  2.11, ypp=  21.17, yppp=  112.0, ypppp=  256.0
L_5,5( 0.875)=  0.273, yp=  3.67, ypp=  28.67, yppp=  128.0, ypppp=  256.0
L_5,5( 0.938)=  0.564, yp=  5.72, ypp=  37.17, yppp=  144.0, ypppp=  256.0
L_5,5( 1.000)=  1.000, yp=  8.33, ypp=  46.67, yppp=  160.0, ypppp=  256.0
  
  
 xg( 1 )=  0.0000000000000000E+000
 xg( 2 )=   0.2000000000000000
 xg( 3 )=   0.4000000000000000
 xg( 4 )=   0.6000000000000001
 xg( 5 )=   0.8000000000000000
 xg( 6 )=   1.0000000000000000
L_6,1( 0.000)=  1.000, yp=-11.42, ypp=  93.75, yppp= -531.2, ypppp= 1875.0
L_6,1( 0.050)=  0.536, yp= -7.35, ypp=  69.47, yppp= -441.4, ypppp= 1718.7
L_6,1( 0.100)=  0.246, yp= -4.40, ypp=  49.48, yppp= -359.4, ypppp= 1562.5
L_6,1( 0.150)=  0.081, yp= -2.34, ypp=  33.40, yppp= -285.2, ypppp= 1406.2
L_6,1( 0.200)= -0.000, yp= -1.00, ypp=  20.83, yppp= -218.8, ypppp= 1250.0
L_6,1( 0.250)= -0.028, yp= -0.21, ypp=  11.39, yppp= -160.2, ypppp= 1093.7
L_6,1( 0.300)= -0.027, yp=  0.18, ypp=   4.69, yppp= -109.4, ypppp=  937.5
L_6,1( 0.350)= -0.014, yp=  0.30, ypp=   0.33, yppp=  -66.4, ypppp=  781.2
L_6,1( 0.400)=  0.000, yp=  0.25, ypp=  -2.08, yppp=  -31.2, ypppp=  625.0
L_6,1( 0.450)=  0.009, yp=  0.12, ypp=  -2.93, yppp=   -3.9, ypppp=  468.7
L_6,1( 0.500)=  0.012, yp= -0.02, ypp=  -2.60, yppp=   15.6, ypppp=  312.5
L_6,1( 0.550)=  0.008, yp= -0.13, ypp=  -1.50, yppp=   27.3, ypppp=  156.2
L_6,1( 0.600)= -0.000, yp= -0.17, ypp=   0.00, yppp=   31.2, ypppp=   -0.0
L_6,1( 0.650)= -0.008, yp= -0.13, ypp=   1.50, yppp=   27.3, ypppp= -156.2
L_6,1( 0.700)= -0.012, yp= -0.02, ypp=   2.60, yppp=   15.6, ypppp= -312.5
L_6,1( 0.750)= -0.009, yp=  0.12, ypp=   2.93, yppp=   -3.9, ypppp= -468.7
L_6,1( 0.800)=  0.000, yp=  0.25, ypp=   2.08, yppp=  -31.2, ypppp= -625.0
L_6,1( 0.850)=  0.014, yp=  0.30, ypp=  -0.33, yppp=  -66.4, ypppp= -781.2
L_6,1( 0.900)=  0.027, yp=  0.18, ypp=  -4.69, yppp= -109.4, ypppp= -937.5
L_6,1( 0.950)=  0.028, yp= -0.21, ypp= -11.39, yppp= -160.2, ypppp=-1093.7
L_6,1( 1.000)= -0.000, yp= -1.00, ypp= -20.83, yppp= -218.8, ypppp=-1250.0
  
L_6,2( 0.000)=  0.000, yp= 25.00, ypp=-320.83, yppp= 2218.7, ypppp=-8750.0
L_6,2( 0.050)=  0.893, yp= 11.55, ypp=-220.51, yppp= 1800.8, ypppp=-7968.8
L_6,2( 0.100)=  1.230, yp=  2.62, ypp=-140.10, yppp= 1421.9, ypppp=-7187.5
L_6,2( 0.150)=  1.214, yp= -2.76, ypp= -77.67, yppp= 1082.0, ypppp=-6406.3
L_6,2( 0.200)=  1.000, yp= -5.42, ypp= -31.25, yppp=  781.2, ypppp=-5625.0
L_6,2( 0.250)=  0.705, yp= -6.12, ypp=   1.11, yppp=  519.5, ypppp=-4843.7
L_6,2( 0.300)=  0.410, yp= -5.51, ypp=  21.35, yppp=  296.9, ypppp=-4062.5
L_6,2( 0.350)=  0.167, yp= -4.15, ypp=  31.45, yppp=  113.3, ypppp=-3281.2
L_6,2( 0.400)= -0.000, yp= -2.50, ypp=  33.33, yppp=  -31.2, ypppp=-2500.0
L_6,2( 0.450)= -0.085, yp= -0.92, ypp=  28.97, yppp= -136.7, ypppp=-1718.8
L_6,2( 0.500)= -0.098, yp=  0.33, ypp=  20.31, yppp= -203.1, ypppp= -937.5
L_6,2( 0.550)= -0.060, yp=  1.07, ypp=   9.31, yppp= -230.5, ypppp= -156.2
L_6,2( 0.600)=  0.000, yp=  1.25, ypp=  -2.08, yppp= -218.7, ypppp=  625.0
L_6,2( 0.650)=  0.056, yp=  0.89, ypp= -11.91, yppp= -168.0, ypppp= 1406.2
L_6,2( 0.700)=  0.082, yp=  0.12, ypp= -18.23, yppp=  -78.1, ypppp= 2187.5
L_6,2( 0.750)=  0.064, yp= -0.84, ypp= -19.08, yppp=   50.8, ypppp= 2968.7
L_6,2( 0.800)= -0.000, yp= -1.67, ypp= -12.50, yppp=  218.7, ypppp= 3750.0
L_6,2( 0.850)= -0.093, yp= -1.94, ypp=   3.45, yppp=  425.8, ypppp= 4531.2
L_6,2( 0.900)= -0.176, yp= -1.13, ypp=  30.73, yppp=  671.9, ypppp= 5312.5
L_6,2( 0.950)= -0.179, yp=  1.36, ypp=  71.29, yppp=  957.0, ypppp= 6093.7
L_6,2( 1.000)=  0.000, yp=  6.25, ypp= 127.08, yppp= 1281.2, ypppp= 6875.0
  
L_6,3( 0.000)= -0.000, yp=-25.00, ypp= 445.83, yppp=-3687.5, ypppp=16250.0
L_6,3( 0.050)= -0.765, yp= -6.99, ypp= 281.12, yppp=-2914.1, ypppp=14687.5
L_6,3( 0.100)= -0.820, yp=  3.72, ypp= 153.12, yppp=-2218.8, ypppp=13125.0
L_6,3( 0.150)= -0.486, yp=  8.87, ypp=  57.94, yppp=-1601.6, ypppp=11562.5
L_6,3( 0.200)=  0.000, yp= 10.00, ypp=  -8.33, yppp=-1062.5, ypppp=10000.0
L_6,3( 0.250)=  0.470, yp=  8.46, ypp= -49.61, yppp= -601.6, ypppp= 8437.5
L_6,3( 0.300)=  0.820, yp=  5.39, ypp= -69.79, yppp= -218.7, ypppp= 6875.0
L_6,3( 0.350)=  1.000, yp=  1.76, ypp= -72.79, yppp=   85.9, ypppp= 5312.5
L_6,3( 0.400)=  1.000, yp= -1.67, ypp= -62.50, yppp=  312.5, ypppp= 3750.0
L_6,3( 0.450)=  0.846, yp= -4.33, ypp= -42.84, yppp=  460.9, ypppp= 2187.5
L_6,3( 0.500)=  0.586, yp= -5.86, ypp= -17.71, yppp=  531.2, ypppp=  625.0
L_6,3( 0.550)=  0.282, yp= -6.08, ypp=   8.98, yppp=  523.4, ypppp= -937.5
L_6,3( 0.600)= -0.000, yp= -5.00, ypp=  33.33, yppp=  437.5, ypppp=-2500.0
L_6,3( 0.650)= -0.200, yp= -2.85, ypp=  51.43, yppp=  273.4, ypppp=-4062.5
L_6,3( 0.700)= -0.273, yp= -0.03, ypp=  59.37, yppp=   31.2, ypppp=-5625.0
L_6,3( 0.750)= -0.201, yp=  2.86, ypp=  53.26, yppp= -289.1, ypppp=-7187.5
L_6,3( 0.800)=  0.000, yp=  5.00, ypp=  29.17, yppp= -687.5, ypppp=-8750.0
L_6,3( 0.850)=  0.270, yp=  5.41, ypp= -16.80, yppp=-1164.1, ypppp=*******
L_6,3( 0.900)=  0.492, yp=  2.89, ypp= -88.54, yppp=-1718.7, ypppp=*******
L_6,3( 0.950)=  0.487, yp= -3.94, ypp=-189.97, yppp=-2351.6, ypppp=*******
L_6,3( 1.000)= -0.000, yp=-16.67, ypp=-325.00, yppp=-3062.5, ypppp=*******
  
L_6,4( 0.000)=  0.000, yp= 16.67, ypp=-325.00, yppp= 3062.5, ypppp=*******
L_6,4( 0.050)=  0.487, yp=  3.94, ypp=-189.97, yppp= 2351.6, ypppp=*******
L_6,4( 0.100)=  0.492, yp= -2.89, ypp= -88.54, yppp= 1718.8, ypppp=*******
L_6,4( 0.150)=  0.270, yp= -5.41, ypp= -16.80, yppp= 1164.1, ypppp=*******
L_6,4( 0.200)= -0.000, yp= -5.00, ypp=  29.17, yppp=  687.5, ypppp=-8750.0
L_6,4( 0.250)= -0.201, yp= -2.86, ypp=  53.26, yppp=  289.1, ypppp=-7187.5
L_6,4( 0.300)= -0.273, yp=  0.03, ypp=  59.37, yppp=  -31.3, ypppp=-5625.0
L_6,4( 0.350)= -0.200, yp=  2.85, ypp=  51.43, yppp= -273.4, ypppp=-4062.5
L_6,4( 0.400)=  0.000, yp=  5.00, ypp=  33.33, yppp= -437.5, ypppp=-2500.0
L_6,4( 0.450)=  0.282, yp=  6.08, ypp=   8.98, yppp= -523.4, ypppp= -937.5
L_6,4( 0.500)=  0.586, yp=  5.86, ypp= -17.71, yppp= -531.3, ypppp=  625.0
L_6,4( 0.550)=  0.846, yp=  4.33, ypp= -42.84, yppp= -460.9, ypppp= 2187.5
L_6,4( 0.600)=  1.000, yp=  1.67, ypp= -62.50, yppp= -312.5, ypppp= 3750.0
L_6,4( 0.650)=  1.000, yp= -1.76, ypp= -72.79, yppp=  -85.9, ypppp= 5312.5
L_6,4( 0.700)=  0.820, yp= -5.39, ypp= -69.79, yppp=  218.8, ypppp= 6875.0
L_6,4( 0.750)=  0.470, yp= -8.46, ypp= -49.61, yppp=  601.6, ypppp= 8437.5
L_6,4( 0.800)= -0.000, yp=-10.00, ypp=  -8.33, yppp= 1062.5, ypppp=10000.0
L_6,4( 0.850)= -0.486, yp= -8.87, ypp=  57.94, yppp= 1601.6, ypppp=11562.5
L_6,4( 0.900)= -0.820, yp= -3.72, ypp= 153.12, yppp= 2218.7, ypppp=13125.0
L_6,4( 0.950)= -0.765, yp=  6.99, ypp= 281.12, yppp= 2914.1, ypppp=14687.5
L_6,4( 1.000)=  0.000, yp= 25.00, ypp= 445.83, yppp= 3687.5, ypppp=16250.0
  
L_6,5( 0.000)= -0.000, yp= -6.25, ypp= 127.08, yppp=-1281.2, ypppp= 6875.0
L_6,5( 0.050)= -0.179, yp= -1.36, ypp=  71.29, yppp= -957.0, ypppp= 6093.8
L_6,5( 0.100)= -0.176, yp=  1.13, ypp=  30.73, yppp= -671.9, ypppp= 5312.5
L_6,5( 0.150)= -0.093, yp=  1.94, ypp=   3.45, yppp= -425.8, ypppp= 4531.3
L_6,5( 0.200)=  0.000, yp=  1.67, ypp= -12.50, yppp= -218.7, ypppp= 3750.0
L_6,5( 0.250)=  0.064, yp=  0.84, ypp= -19.08, yppp=  -50.8, ypppp= 2968.7
L_6,5( 0.300)=  0.082, yp= -0.12, ypp= -18.23, yppp=   78.1, ypppp= 2187.5
L_6,5( 0.350)=  0.056, yp= -0.89, ypp= -11.91, yppp=  168.0, ypppp= 1406.3
L_6,5( 0.400)= -0.000, yp= -1.25, ypp=  -2.08, yppp=  218.7, ypppp=  625.0
L_6,5( 0.450)= -0.060, yp= -1.07, ypp=   9.31, yppp=  230.5, ypppp= -156.2
L_6,5( 0.500)= -0.098, yp= -0.33, ypp=  20.31, yppp=  203.1, ypppp= -937.5
L_6,5( 0.550)= -0.085, yp=  0.92, ypp=  28.97, yppp=  136.7, ypppp=-1718.8
L_6,5( 0.600)=  0.000, yp=  2.50, ypp=  33.33, yppp=   31.2, ypppp=-2500.0
L_6,5( 0.650)=  0.167, yp=  4.15, ypp=  31.45, yppp= -113.3, ypppp=-3281.2
L_6,5( 0.700)=  0.410, yp=  5.51, ypp=  21.35, yppp= -296.9, ypppp=-4062.5
L_6,5( 0.750)=  0.705, yp=  6.12, ypp=   1.11, yppp= -519.5, ypppp=-4843.8
L_6,5( 0.800)=  1.000, yp=  5.42, ypp= -31.25, yppp= -781.3, ypppp=-5625.0
L_6,5( 0.850)=  1.214, yp=  2.76, ypp= -77.67, yppp=-1082.0, ypppp=-6406.3
L_6,5( 0.900)=  1.230, yp= -2.62, ypp=-140.10, yppp=-1421.9, ypppp=-7187.5
L_6,5( 0.950)=  0.893, yp=-11.55, ypp=-220.51, yppp=-1800.8, ypppp=-7968.8
L_6,5( 1.000)= -0.000, yp=-25.00, ypp=-320.83, yppp=-2218.8, ypppp=-8750.0
  
L_6,6( 0.000)=  0.000, yp=  1.00, ypp= -20.83, yppp=  218.8, ypppp=-1250.0
L_6,6( 0.050)=  0.028, yp=  0.21, ypp= -11.39, yppp=  160.2, ypppp=-1093.8
L_6,6( 0.100)=  0.027, yp= -0.18, ypp=  -4.69, yppp=  109.4, ypppp= -937.5
L_6,6( 0.150)=  0.014, yp= -0.30, ypp=  -0.33, yppp=   66.4, ypppp= -781.3
L_6,6( 0.200)= -0.000, yp= -0.25, ypp=   2.08, yppp=   31.2, ypppp= -625.0
L_6,6( 0.250)= -0.009, yp= -0.12, ypp=   2.93, yppp=    3.9, ypppp= -468.8
L_6,6( 0.300)= -0.012, yp=  0.02, ypp=   2.60, yppp=  -15.6, ypppp= -312.5
L_6,6( 0.350)= -0.008, yp=  0.13, ypp=   1.50, yppp=  -27.3, ypppp= -156.3
L_6,6( 0.400)=  0.000, yp=  0.17, ypp=   0.00, yppp=  -31.3, ypppp=    0.0
L_6,6( 0.450)=  0.008, yp=  0.13, ypp=  -1.50, yppp=  -27.3, ypppp=  156.3
L_6,6( 0.500)=  0.012, yp=  0.02, ypp=  -2.60, yppp=  -15.6, ypppp=  312.5
L_6,6( 0.550)=  0.009, yp= -0.12, ypp=  -2.93, yppp=    3.9, ypppp=  468.8
L_6,6( 0.600)= -0.000, yp= -0.25, ypp=  -2.08, yppp=   31.3, ypppp=  625.0
L_6,6( 0.650)= -0.014, yp= -0.30, ypp=   0.33, yppp=   66.4, ypppp=  781.2
L_6,6( 0.700)= -0.027, yp= -0.18, ypp=   4.69, yppp=  109.4, ypppp=  937.5
L_6,6( 0.750)= -0.028, yp=  0.21, ypp=  11.39, yppp=  160.2, ypppp= 1093.8
L_6,6( 0.800)=  0.000, yp=  1.00, ypp=  20.83, yppp=  218.8, ypppp= 1250.0
L_6,6( 0.850)=  0.081, yp=  2.34, ypp=  33.40, yppp=  285.2, ypppp= 1406.3
L_6,6( 0.900)=  0.246, yp=  4.40, ypp=  49.48, yppp=  359.4, ypppp= 1562.5
L_6,6( 0.950)=  0.536, yp=  7.35, ypp=  69.47, yppp=  441.4, ypppp= 1718.8
L_6,6( 1.000)=  1.000, yp= 11.42, ypp=  93.75, yppp=  531.3, ypppp= 1875.0
  
  
 end test_laphi.f90