test_laphi.c running on 0<x<1 for N=5 
 L_order,point  order is highest power of x, point 0..n 
      L_n,j(x) = product i=0,n i!=j (x-x_i)/(x_j-x_i)  
      for points x_0, x_1, ... , x_n 
      generate L_n,j(x) for n=1,5  j=0,n and derivatives to 4th 
xg[0]=0 
xg[1]=1 
L_1,0( 0.0000)= 1.0000, yp= -1.000, ypp=  -0.00, yppp=   -0.0, ypppp=    -0.0
L_1,0( 0.2500)= 0.7500, yp= -1.000, ypp=  -0.00, yppp=   -0.0, ypppp=    -0.0
L_1,0( 0.5000)= 0.5000, yp= -1.000, ypp=  -0.00, yppp=   -0.0, ypppp=    -0.0
L_1,0( 0.7500)= 0.2500, yp= -1.000, ypp=  -0.00, yppp=   -0.0, ypppp=    -0.0
L_1,0( 1.0000)=-0.0000, yp= -1.000, ypp=  -0.00, yppp=   -0.0, ypppp=    -0.0

L_1,1( 0.0000)= 0.0000, yp=  1.000, ypp=   0.00, yppp=    0.0, ypppp=     0.0
L_1,1( 0.2500)= 0.2500, yp=  1.000, ypp=   0.00, yppp=    0.0, ypppp=     0.0
L_1,1( 0.5000)= 0.5000, yp=  1.000, ypp=   0.00, yppp=    0.0, ypppp=     0.0
L_1,1( 0.7500)= 0.7500, yp=  1.000, ypp=   0.00, yppp=    0.0, ypppp=     0.0
L_1,1( 1.0000)= 1.0000, yp=  1.000, ypp=   0.00, yppp=    0.0, ypppp=     0.0


xg[0]=0 
xg[1]=0.5 
xg[2]=1 
L_2,0( 0.0000)= 1.0000, yp= -3.000, ypp=   4.00, yppp=    0.0, ypppp=     0.0
L_2,0( 0.1250)= 0.6562, yp= -2.500, ypp=   4.00, yppp=    0.0, ypppp=     0.0
L_2,0( 0.2500)= 0.3750, yp= -2.000, ypp=   4.00, yppp=    0.0, ypppp=     0.0
L_2,0( 0.3750)= 0.1562, yp= -1.500, ypp=   4.00, yppp=    0.0, ypppp=     0.0
L_2,0( 0.5000)=-0.0000, yp= -1.000, ypp=   4.00, yppp=    0.0, ypppp=     0.0
L_2,0( 0.6250)=-0.0938, yp= -0.500, ypp=   4.00, yppp=    0.0, ypppp=     0.0
L_2,0( 0.7500)=-0.1250, yp=  0.000, ypp=   4.00, yppp=    0.0, ypppp=     0.0
L_2,0( 0.8750)=-0.0938, yp=  0.500, ypp=   4.00, yppp=    0.0, ypppp=     0.0
L_2,0( 1.0000)= 0.0000, yp=  1.000, ypp=   4.00, yppp=    0.0, ypppp=     0.0

L_2,1( 0.0000)= 0.0000, yp=  4.000, ypp=  -8.00, yppp=   -0.0, ypppp=    -0.0
L_2,1( 0.1250)= 0.4375, yp=  3.000, ypp=  -8.00, yppp=   -0.0, ypppp=    -0.0
L_2,1( 0.2500)= 0.7500, yp=  2.000, ypp=  -8.00, yppp=   -0.0, ypppp=    -0.0
L_2,1( 0.3750)= 0.9375, yp=  1.000, ypp=  -8.00, yppp=   -0.0, ypppp=    -0.0
L_2,1( 0.5000)= 1.0000, yp= -0.000, ypp=  -8.00, yppp=   -0.0, ypppp=    -0.0
L_2,1( 0.6250)= 0.9375, yp= -1.000, ypp=  -8.00, yppp=   -0.0, ypppp=    -0.0
L_2,1( 0.7500)= 0.7500, yp= -2.000, ypp=  -8.00, yppp=   -0.0, ypppp=    -0.0
L_2,1( 0.8750)= 0.4375, yp= -3.000, ypp=  -8.00, yppp=   -0.0, ypppp=    -0.0
L_2,1( 1.0000)=-0.0000, yp= -4.000, ypp=  -8.00, yppp=   -0.0, ypppp=    -0.0

L_2,2( 0.0000)=-0.0000, yp= -1.000, ypp=   4.00, yppp=    0.0, ypppp=     0.0
L_2,2( 0.1250)=-0.0938, yp= -0.500, ypp=   4.00, yppp=    0.0, ypppp=     0.0
L_2,2( 0.2500)=-0.1250, yp=  0.000, ypp=   4.00, yppp=    0.0, ypppp=     0.0
L_2,2( 0.3750)=-0.0938, yp=  0.500, ypp=   4.00, yppp=    0.0, ypppp=     0.0
L_2,2( 0.5000)= 0.0000, yp=  1.000, ypp=   4.00, yppp=    0.0, ypppp=     0.0
L_2,2( 0.6250)= 0.1562, yp=  1.500, ypp=   4.00, yppp=    0.0, ypppp=     0.0
L_2,2( 0.7500)= 0.3750, yp=  2.000, ypp=   4.00, yppp=    0.0, ypppp=     0.0
L_2,2( 0.8750)= 0.6562, yp=  2.500, ypp=   4.00, yppp=    0.0, ypppp=     0.0
L_2,2( 1.0000)= 1.0000, yp=  3.000, ypp=   4.00, yppp=    0.0, ypppp=     0.0


xg[0]=0 
xg[1]=0.333333 
xg[2]=0.666667 
xg[3]=1 
L_3,0( 0.0000)= 1.0000, yp= -5.500, ypp=  18.00, yppp=  -27.0, ypppp=    -0.0
L_3,0( 0.0833)= 0.6016, yp= -4.094, ypp=  15.75, yppp=  -27.0, ypppp=    -0.0
L_3,0( 0.1667)= 0.3125, yp= -2.875, ypp=  13.50, yppp=  -27.0, ypppp=    -0.0
L_3,0( 0.2500)= 0.1172, yp= -1.844, ypp=  11.25, yppp=  -27.0, ypppp=    -0.0
L_3,0( 0.3333)=-0.0000, yp= -1.000, ypp=   9.00, yppp=  -27.0, ypppp=    -0.0
L_3,0( 0.4167)=-0.0547, yp= -0.344, ypp=   6.75, yppp=  -27.0, ypppp=    -0.0
L_3,0( 0.5000)=-0.0625, yp=  0.125, ypp=   4.50, yppp=  -27.0, ypppp=    -0.0
L_3,0( 0.5833)=-0.0391, yp=  0.406, ypp=   2.25, yppp=  -27.0, ypppp=    -0.0
L_3,0( 0.6667)= 0.0000, yp=  0.500, ypp=   0.00, yppp=  -27.0, ypppp=    -0.0
L_3,0( 0.7500)= 0.0391, yp=  0.406, ypp=  -2.25, yppp=  -27.0, ypppp=    -0.0
L_3,0( 0.8333)= 0.0625, yp=  0.125, ypp=  -4.50, yppp=  -27.0, ypppp=    -0.0
L_3,0( 0.9167)= 0.0547, yp= -0.344, ypp=  -6.75, yppp=  -27.0, ypppp=    -0.0
L_3,0( 1.0000)=-0.0000, yp= -1.000, ypp=  -9.00, yppp=  -27.0, ypppp=    -0.0

L_3,1( 0.0000)= 0.0000, yp=  9.000, ypp= -45.00, yppp=   81.0, ypppp=     0.0
L_3,1( 0.0833)= 0.6016, yp=  5.531, ypp= -38.25, yppp=   81.0, ypppp=     0.0
L_3,1( 0.1667)= 0.9375, yp=  2.625, ypp= -31.50, yppp=   81.0, ypppp=     0.0
L_3,1( 0.2500)= 1.0547, yp=  0.281, ypp= -24.75, yppp=   81.0, ypppp=     0.0
L_3,1( 0.3333)= 1.0000, yp= -1.500, ypp= -18.00, yppp=   81.0, ypppp=     0.0
L_3,1( 0.4167)= 0.8203, yp= -2.719, ypp= -11.25, yppp=   81.0, ypppp=     0.0
L_3,1( 0.5000)= 0.5625, yp= -3.375, ypp=  -4.50, yppp=   81.0, ypppp=     0.0
L_3,1( 0.5833)= 0.2734, yp= -3.469, ypp=   2.25, yppp=   81.0, ypppp=     0.0
L_3,1( 0.6667)=-0.0000, yp= -3.000, ypp=   9.00, yppp=   81.0, ypppp=     0.0
L_3,1( 0.7500)=-0.2109, yp= -1.969, ypp=  15.75, yppp=   81.0, ypppp=     0.0
L_3,1( 0.8333)=-0.3125, yp= -0.375, ypp=  22.50, yppp=   81.0, ypppp=     0.0
L_3,1( 0.9167)=-0.2578, yp=  1.781, ypp=  29.25, yppp=   81.0, ypppp=     0.0
L_3,1( 1.0000)= 0.0000, yp=  4.500, ypp=  36.00, yppp=   81.0, ypppp=     0.0

L_3,2( 0.0000)=-0.0000, yp= -4.500, ypp=  36.00, yppp=  -81.0, ypppp=    -0.0
L_3,2( 0.0833)=-0.2578, yp= -1.781, ypp=  29.25, yppp=  -81.0, ypppp=    -0.0
L_3,2( 0.1667)=-0.3125, yp=  0.375, ypp=  22.50, yppp=  -81.0, ypppp=    -0.0
L_3,2( 0.2500)=-0.2109, yp=  1.969, ypp=  15.75, yppp=  -81.0, ypppp=    -0.0
L_3,2( 0.3333)= 0.0000, yp=  3.000, ypp=   9.00, yppp=  -81.0, ypppp=    -0.0
L_3,2( 0.4167)= 0.2734, yp=  3.469, ypp=   2.25, yppp=  -81.0, ypppp=    -0.0
L_3,2( 0.5000)= 0.5625, yp=  3.375, ypp=  -4.50, yppp=  -81.0, ypppp=    -0.0
L_3,2( 0.5833)= 0.8203, yp=  2.719, ypp= -11.25, yppp=  -81.0, ypppp=    -0.0
L_3,2( 0.6667)= 1.0000, yp=  1.500, ypp= -18.00, yppp=  -81.0, ypppp=    -0.0
L_3,2( 0.7500)= 1.0547, yp= -0.281, ypp= -24.75, yppp=  -81.0, ypppp=    -0.0
L_3,2( 0.8333)= 0.9375, yp= -2.625, ypp= -31.50, yppp=  -81.0, ypppp=    -0.0
L_3,2( 0.9167)= 0.6016, yp= -5.531, ypp= -38.25, yppp=  -81.0, ypppp=    -0.0
L_3,2( 1.0000)=-0.0000, yp= -9.000, ypp= -45.00, yppp=  -81.0, ypppp=    -0.0

L_3,3( 0.0000)= 0.0000, yp=  1.000, ypp=  -9.00, yppp=   27.0, ypppp=     0.0
L_3,3( 0.0833)= 0.0547, yp=  0.344, ypp=  -6.75, yppp=   27.0, ypppp=     0.0
L_3,3( 0.1667)= 0.0625, yp= -0.125, ypp=  -4.50, yppp=   27.0, ypppp=     0.0
L_3,3( 0.2500)= 0.0391, yp= -0.406, ypp=  -2.25, yppp=   27.0, ypppp=     0.0
L_3,3( 0.3333)=-0.0000, yp= -0.500, ypp=   0.00, yppp=   27.0, ypppp=     0.0
L_3,3( 0.4167)=-0.0391, yp= -0.406, ypp=   2.25, yppp=   27.0, ypppp=     0.0
L_3,3( 0.5000)=-0.0625, yp= -0.125, ypp=   4.50, yppp=   27.0, ypppp=     0.0
L_3,3( 0.5833)=-0.0547, yp=  0.344, ypp=   6.75, yppp=   27.0, ypppp=     0.0
L_3,3( 0.6667)= 0.0000, yp=  1.000, ypp=   9.00, yppp=   27.0, ypppp=     0.0
L_3,3( 0.7500)= 0.1172, yp=  1.844, ypp=  11.25, yppp=   27.0, ypppp=     0.0
L_3,3( 0.8333)= 0.3125, yp=  2.875, ypp=  13.50, yppp=   27.0, ypppp=     0.0
L_3,3( 0.9167)= 0.6016, yp=  4.094, ypp=  15.75, yppp=   27.0, ypppp=     0.0
L_3,3( 1.0000)= 1.0000, yp=  5.500, ypp=  18.00, yppp=   27.0, ypppp=     0.0


xg[0]=0 
xg[1]=0.25 
xg[2]=0.5 
xg[3]=0.75 
xg[4]=1 
L_4,0( 0.0000)= 1.0000, yp= -8.333, ypp=  46.67, yppp= -160.0, ypppp=   256.0
L_4,0( 0.0625)= 0.5640, yp= -5.719, ypp=  37.17, yppp= -144.0, ypppp=   256.0
L_4,0( 0.1250)= 0.2734, yp= -3.667, ypp=  28.67, yppp= -128.0, ypppp=   256.0
L_4,0( 0.1875)= 0.0952, yp= -2.115, ypp=  21.17, yppp= -112.0, ypppp=   256.0
L_4,0( 0.2500)=-0.0000, yp= -1.000, ypp=  14.67, yppp=  -96.0, ypppp=   256.0
L_4,0( 0.3125)=-0.0376, yp= -0.260, ypp=   9.17, yppp=  -80.0, ypppp=   256.0
L_4,0( 0.3750)=-0.0391, yp=  0.167, ypp=   4.67, yppp=  -64.0, ypppp=   256.0
L_4,0( 0.4375)=-0.0220, yp=  0.344, ypp=   1.17, yppp=  -48.0, ypppp=   256.0
L_4,0( 0.5000)= 0.0000, yp=  0.333, ypp=  -1.33, yppp=  -32.0, ypppp=   256.0
L_4,0( 0.5625)= 0.0171, yp=  0.198, ypp=  -2.83, yppp=  -16.0, ypppp=   256.0
L_4,0( 0.6250)= 0.0234, yp=  0.000, ypp=  -3.33, yppp=    0.0, ypppp=   256.0
L_4,0( 0.6875)= 0.0171, yp= -0.198, ypp=  -2.83, yppp=   16.0, ypppp=   256.0
L_4,0( 0.7500)=-0.0000, yp= -0.333, ypp=  -1.33, yppp=   32.0, ypppp=   256.0
L_4,0( 0.8125)=-0.0220, yp= -0.344, ypp=   1.17, yppp=   48.0, ypppp=   256.0
L_4,0( 0.8750)=-0.0391, yp= -0.167, ypp=   4.67, yppp=   64.0, ypppp=   256.0
L_4,0( 0.9375)=-0.0376, yp=  0.260, ypp=   9.17, yppp=   80.0, ypppp=   256.0
L_4,0( 1.0000)= 0.0000, yp=  1.000, ypp=  14.67, yppp=   96.0, ypppp=   256.0

L_4,1( 0.0000)= 0.0000, yp= 16.000, ypp=-138.67, yppp=  576.0, ypppp= -1024.0
L_4,1( 0.0625)= 0.7520, yp=  8.417, ypp=-104.67, yppp=  512.0, ypppp= -1024.0
L_4,1( 0.1250)= 1.0938, yp=  2.833, ypp= -74.67, yppp=  448.0, ypppp= -1024.0
L_4,1( 0.1875)= 1.1426, yp= -1.000, ypp= -48.67, yppp=  384.0, ypppp= -1024.0
L_4,1( 0.2500)= 1.0000, yp= -3.333, ypp= -26.67, yppp=  320.0, ypppp= -1024.0
L_4,1( 0.3125)= 0.7520, yp= -4.417, ypp=  -8.67, yppp=  256.0, ypppp= -1024.0
L_4,1( 0.3750)= 0.4688, yp= -4.500, ypp=   5.33, yppp=  192.0, ypppp= -1024.0
L_4,1( 0.4375)= 0.2051, yp= -3.833, ypp=  15.33, yppp=  128.0, ypppp= -1024.0
L_4,1( 0.5000)=-0.0000, yp= -2.667, ypp=  21.33, yppp=   64.0, ypppp= -1024.0
L_4,1( 0.5625)=-0.1230, yp= -1.250, ypp=  23.33, yppp=   -0.0, ypppp= -1024.0
L_4,1( 0.6250)=-0.1562, yp=  0.167, ypp=  21.33, yppp=  -64.0, ypppp= -1024.0
L_4,1( 0.6875)=-0.1074, yp=  1.333, ypp=  15.33, yppp= -128.0, ypppp= -1024.0
L_4,1( 0.7500)= 0.0000, yp=  2.000, ypp=   5.33, yppp= -192.0, ypppp= -1024.0
L_4,1( 0.8125)= 0.1270, yp=  1.917, ypp=  -8.67, yppp= -256.0, ypppp= -1024.0
L_4,1( 0.8750)= 0.2188, yp=  0.833, ypp= -26.67, yppp= -320.0, ypppp= -1024.0
L_4,1( 0.9375)= 0.2051, yp= -1.500, ypp= -48.67, yppp= -384.0, ypppp= -1024.0
L_4,1( 1.0000)=-0.0000, yp= -5.333, ypp= -74.67, yppp= -448.0, ypppp= -1024.0

L_4,2( 0.0000)=-0.0000, yp=-12.000, ypp= 152.00, yppp= -768.0, ypppp=  1536.0
L_4,2( 0.0625)=-0.4834, yp= -3.938, ypp= 107.00, yppp= -672.0, ypppp=  1536.0
L_4,2( 0.1250)=-0.5469, yp=  1.500, ypp=  68.00, yppp= -576.0, ypppp=  1536.0
L_4,2( 0.1875)=-0.3428, yp=  4.688, ypp=  35.00, yppp= -480.0, ypppp=  1536.0
L_4,2( 0.2500)= 0.0000, yp=  6.000, ypp=   8.00, yppp= -384.0, ypppp=  1536.0
L_4,2( 0.3125)= 0.3760, yp=  5.812, ypp= -13.00, yppp= -288.0, ypppp=  1536.0
L_4,2( 0.3750)= 0.7031, yp=  4.500, ypp= -28.00, yppp= -192.0, ypppp=  1536.0
L_4,2( 0.4375)= 0.9229, yp=  2.438, ypp= -37.00, yppp=  -96.0, ypppp=  1536.0
L_4,2( 0.5000)= 1.0000, yp=  0.000, ypp= -40.00, yppp=    0.0, ypppp=  1536.0
L_4,2( 0.5625)= 0.9229, yp= -2.438, ypp= -37.00, yppp=   96.0, ypppp=  1536.0
L_4,2( 0.6250)= 0.7031, yp= -4.500, ypp= -28.00, yppp=  192.0, ypppp=  1536.0
L_4,2( 0.6875)= 0.3760, yp= -5.812, ypp= -13.00, yppp=  288.0, ypppp=  1536.0
L_4,2( 0.7500)=-0.0000, yp= -6.000, ypp=   8.00, yppp=  384.0, ypppp=  1536.0
L_4,2( 0.8125)=-0.3428, yp= -4.688, ypp=  35.00, yppp=  480.0, ypppp=  1536.0
L_4,2( 0.8750)=-0.5469, yp= -1.500, ypp=  68.00, yppp=  576.0, ypppp=  1536.0
L_4,2( 0.9375)=-0.4834, yp=  3.938, ypp= 107.00, yppp=  672.0, ypppp=  1536.0
L_4,2( 1.0000)= 0.0000, yp= 12.000, ypp= 152.00, yppp=  768.0, ypppp=  1536.0

L_4,3( 0.0000)= 0.0000, yp=  5.333, ypp= -74.67, yppp=  448.0, ypppp= -1024.0
L_4,3( 0.0625)= 0.2051, yp=  1.500, ypp= -48.67, yppp=  384.0, ypppp= -1024.0
L_4,3( 0.1250)= 0.2188, yp= -0.833, ypp= -26.67, yppp=  320.0, ypppp= -1024.0
L_4,3( 0.1875)= 0.1270, yp= -1.917, ypp=  -8.67, yppp=  256.0, ypppp= -1024.0
L_4,3( 0.2500)=-0.0000, yp= -2.000, ypp=   5.33, yppp=  192.0, ypppp= -1024.0
L_4,3( 0.3125)=-0.1074, yp= -1.333, ypp=  15.33, yppp=  128.0, ypppp= -1024.0
L_4,3( 0.3750)=-0.1562, yp= -0.167, ypp=  21.33, yppp=   64.0, ypppp= -1024.0
L_4,3( 0.4375)=-0.1230, yp=  1.250, ypp=  23.33, yppp=   -0.0, ypppp= -1024.0
L_4,3( 0.5000)= 0.0000, yp=  2.667, ypp=  21.33, yppp=  -64.0, ypppp= -1024.0
L_4,3( 0.5625)= 0.2051, yp=  3.833, ypp=  15.33, yppp= -128.0, ypppp= -1024.0
L_4,3( 0.6250)= 0.4688, yp=  4.500, ypp=   5.33, yppp= -192.0, ypppp= -1024.0
L_4,3( 0.6875)= 0.7520, yp=  4.417, ypp=  -8.67, yppp= -256.0, ypppp= -1024.0
L_4,3( 0.7500)= 1.0000, yp=  3.333, ypp= -26.67, yppp= -320.0, ypppp= -1024.0
L_4,3( 0.8125)= 1.1426, yp=  1.000, ypp= -48.67, yppp= -384.0, ypppp= -1024.0
L_4,3( 0.8750)= 1.0938, yp= -2.833, ypp= -74.67, yppp= -448.0, ypppp= -1024.0
L_4,3( 0.9375)= 0.7520, yp= -8.417, ypp=-104.67, yppp= -512.0, ypppp= -1024.0
L_4,3( 1.0000)=-0.0000, yp=-16.000, ypp=-138.67, yppp= -576.0, ypppp= -1024.0

L_4,4( 0.0000)=-0.0000, yp= -1.000, ypp=  14.67, yppp=  -96.0, ypppp=   256.0
L_4,4( 0.0625)=-0.0376, yp= -0.260, ypp=   9.17, yppp=  -80.0, ypppp=   256.0
L_4,4( 0.1250)=-0.0391, yp=  0.167, ypp=   4.67, yppp=  -64.0, ypppp=   256.0
L_4,4( 0.1875)=-0.0220, yp=  0.344, ypp=   1.17, yppp=  -48.0, ypppp=   256.0
L_4,4( 0.2500)= 0.0000, yp=  0.333, ypp=  -1.33, yppp=  -32.0, ypppp=   256.0
L_4,4( 0.3125)= 0.0171, yp=  0.198, ypp=  -2.83, yppp=  -16.0, ypppp=   256.0
L_4,4( 0.3750)= 0.0234, yp=  0.000, ypp=  -3.33, yppp=    0.0, ypppp=   256.0
L_4,4( 0.4375)= 0.0171, yp= -0.198, ypp=  -2.83, yppp=   16.0, ypppp=   256.0
L_4,4( 0.5000)=-0.0000, yp= -0.333, ypp=  -1.33, yppp=   32.0, ypppp=   256.0
L_4,4( 0.5625)=-0.0220, yp= -0.344, ypp=   1.17, yppp=   48.0, ypppp=   256.0
L_4,4( 0.6250)=-0.0391, yp= -0.167, ypp=   4.67, yppp=   64.0, ypppp=   256.0
L_4,4( 0.6875)=-0.0376, yp=  0.260, ypp=   9.17, yppp=   80.0, ypppp=   256.0
L_4,4( 0.7500)= 0.0000, yp=  1.000, ypp=  14.67, yppp=   96.0, ypppp=   256.0
L_4,4( 0.8125)= 0.0952, yp=  2.115, ypp=  21.17, yppp=  112.0, ypppp=   256.0
L_4,4( 0.8750)= 0.2734, yp=  3.667, ypp=  28.67, yppp=  128.0, ypppp=   256.0
L_4,4( 0.9375)= 0.5640, yp=  5.719, ypp=  37.17, yppp=  144.0, ypppp=   256.0
L_4,4( 1.0000)= 1.0000, yp=  8.333, ypp=  46.67, yppp=  160.0, ypppp=   256.0


xg[0]=0 
xg[1]=0.2 
xg[2]=0.4 
xg[3]=0.6 
xg[4]=0.8 
xg[5]=1 
L_5,0( 0.0000)= 1.0000, yp=-11.417, ypp=  93.75, yppp= -531.2, ypppp=  1875.0
L_5,0( 0.0500)= 0.5358, yp= -7.355, ypp=  69.47, yppp= -441.4, ypppp=  1718.7
L_5,0( 0.1000)= 0.2461, yp= -4.398, ypp=  49.48, yppp= -359.4, ypppp=  1562.5
L_5,0( 0.1500)= 0.0809, yp= -2.342, ypp=  33.40, yppp= -285.2, ypppp=  1406.2
L_5,0( 0.2000)=-0.0000, yp= -1.000, ypp=  20.83, yppp= -218.8, ypppp=  1250.0
L_5,0( 0.2500)=-0.0282, yp= -0.207, ypp=  11.39, yppp= -160.2, ypppp=  1093.7
L_5,0( 0.3000)=-0.0273, yp=  0.185, ypp=   4.69, yppp= -109.4, ypppp=   937.5
L_5,0( 0.3500)=-0.0143, yp=  0.301, ypp=   0.33, yppp=  -66.4, ypppp=   781.2
L_5,0( 0.4000)= 0.0000, yp=  0.250, ypp=  -2.08, yppp=  -31.2, ypppp=   625.0
L_5,0( 0.4500)= 0.0094, yp=  0.119, ypp=  -2.93, yppp=   -3.9, ypppp=   468.7
L_5,0( 0.5000)= 0.0117, yp= -0.023, ypp=  -2.60, yppp=   15.6, ypppp=   312.5
L_5,0( 0.5500)= 0.0077, yp= -0.128, ypp=  -1.50, yppp=   27.3, ypppp=   156.2
L_5,0( 0.6000)=-0.0000, yp= -0.167, ypp=   0.00, yppp=   31.2, ypppp=    -0.0
L_5,0( 0.6500)=-0.0077, yp= -0.128, ypp=   1.50, yppp=   27.3, ypppp=  -156.2
L_5,0( 0.7000)=-0.0117, yp= -0.023, ypp=   2.60, yppp=   15.6, ypppp=  -312.5
L_5,0( 0.7500)=-0.0094, yp=  0.119, ypp=   2.93, yppp=   -3.9, ypppp=  -468.7
L_5,0( 0.8000)= 0.0000, yp=  0.250, ypp=   2.08, yppp=  -31.2, ypppp=  -625.0
L_5,0( 0.8500)= 0.0143, yp=  0.301, ypp=  -0.33, yppp=  -66.4, ypppp=  -781.2
L_5,0( 0.9000)= 0.0273, yp=  0.185, ypp=  -4.69, yppp= -109.4, ypppp=  -937.5
L_5,0( 0.9500)= 0.0282, yp= -0.207, ypp= -11.39, yppp= -160.2, ypppp= -1093.7
L_5,0( 1.0000)=-0.0000, yp= -1.000, ypp= -20.83, yppp= -218.8, ypppp= -1250.0

L_5,1( 0.0000)= 0.0000, yp= 25.000, ypp=-320.83, yppp= 2218.7, ypppp= -8750.0
L_5,1( 0.0500)= 0.8929, yp= 11.554, ypp=-220.51, yppp= 1800.8, ypppp= -7968.8
L_5,1( 0.1000)= 1.2305, yp=  2.617, ypp=-140.10, yppp= 1421.9, ypppp= -7187.5
L_5,1( 0.1500)= 1.2140, yp= -2.756, ypp= -77.67, yppp= 1082.0, ypppp= -6406.3
L_5,1( 0.2000)= 1.0000, yp= -5.417, ypp= -31.25, yppp=  781.2, ypppp= -5625.0
L_5,1( 0.2500)= 0.7050, yp= -6.116, ypp=   1.11, yppp=  519.5, ypppp= -4843.7
L_5,1( 0.3000)= 0.4102, yp= -5.508, ypp=  21.35, yppp=  296.9, ypppp= -4062.5
L_5,1( 0.3500)= 0.1666, yp= -4.150, ypp=  31.45, yppp=  113.3, ypppp= -3281.2
L_5,1( 0.4000)=-0.0000, yp= -2.500, ypp=  33.33, yppp=  -31.2, ypppp= -2500.0
L_5,1( 0.4500)=-0.0846, yp= -0.920, ypp=  28.97, yppp= -136.7, ypppp= -1718.8
L_5,1( 0.5000)=-0.0977, yp=  0.326, ypp=  20.31, yppp= -203.1, ypppp=  -937.5
L_5,1( 0.5500)=-0.0604, yp=  1.072, ypp=   9.31, yppp= -230.5, ypppp=  -156.2
L_5,1( 0.6000)= 0.0000, yp=  1.250, ypp=  -2.08, yppp= -218.7, ypppp=   625.0
L_5,1( 0.6500)= 0.0555, yp=  0.889, ypp= -11.91, yppp= -168.0, ypppp=  1406.2
L_5,1( 0.7000)= 0.0820, yp=  0.117, ypp= -18.23, yppp=  -78.1, ypppp=  2187.5
L_5,1( 0.7500)= 0.0641, yp= -0.842, ypp= -19.08, yppp=   50.8, ypppp=  2968.7
L_5,1( 0.8000)=-0.0000, yp= -1.667, ypp= -12.50, yppp=  218.7, ypppp=  3750.0
L_5,1( 0.8500)=-0.0934, yp= -1.936, ypp=   3.45, yppp=  425.8, ypppp=  4531.3
L_5,1( 0.9000)=-0.1758, yp= -1.133, ypp=  30.73, yppp=  671.9, ypppp=  5312.5
L_5,1( 0.9500)=-0.1786, yp=  1.358, ypp=  71.29, yppp=  957.0, ypppp=  6093.7
L_5,1( 1.0000)= 0.0000, yp=  6.250, ypp= 127.08, yppp= 1281.2, ypppp=  6875.0

L_5,2( 0.0000)=-0.0000, yp=-25.000, ypp= 445.83, yppp=-3687.5, ypppp= 16250.0
L_5,2( 0.0500)=-0.7654, yp= -6.987, ypp= 281.12, yppp=-2914.1, ypppp= 14687.5
L_5,2( 0.1000)=-0.8203, yp=  3.724, ypp= 153.12, yppp=-2218.7, ypppp= 13125.0
L_5,2( 0.1500)=-0.4856, yp=  8.872, ypp=  57.94, yppp=-1601.6, ypppp= 11562.5
L_5,2( 0.2000)= 0.0000, yp= 10.000, ypp=  -8.33, yppp=-1062.5, ypppp= 10000.0
L_5,2( 0.2500)= 0.4700, yp=  8.455, ypp= -49.61, yppp= -601.6, ypppp=  8437.5
L_5,2( 0.3000)= 0.8203, yp=  5.391, ypp= -69.79, yppp= -218.7, ypppp=  6875.0
L_5,2( 0.3500)= 0.9998, yp=  1.763, ypp= -72.79, yppp=   85.9, ypppp=  5312.5
L_5,2( 0.4000)= 1.0000, yp= -1.667, ypp= -62.50, yppp=  312.5, ypppp=  3750.0
L_5,2( 0.4500)= 0.8459, yp= -4.331, ypp= -42.84, yppp=  460.9, ypppp=  2187.5
L_5,2( 0.5000)= 0.5859, yp= -5.859, ypp= -17.71, yppp=  531.2, ypppp=   625.0
L_5,2( 0.5500)= 0.2820, yp= -6.076, ypp=   8.98, yppp=  523.4, ypppp=  -937.5
L_5,2( 0.6000)=-0.0000, yp= -5.000, ypp=  33.33, yppp=  437.5, ypppp= -2500.0
L_5,2( 0.6500)=-0.2000, yp= -2.847, ypp=  51.43, yppp=  273.4, ypppp= -4062.5
L_5,2( 0.7000)=-0.2734, yp= -0.026, ypp=  59.37, yppp=   31.2, ypppp= -5625.0
L_5,2( 0.7500)=-0.2014, yp=  2.856, ypp=  53.26, yppp= -289.1, ypppp= -7187.5
L_5,2( 0.8000)= 0.0000, yp=  5.000, ypp=  29.17, yppp= -687.5, ypppp= -8750.0
L_5,2( 0.8500)= 0.2698, yp=  5.409, ypp= -16.80, yppp=-1164.1, ypppp=-10312.5
L_5,2( 0.9000)= 0.4922, yp=  2.891, ypp= -88.54, yppp=-1718.7, ypppp=-11875.0
L_5,2( 0.9500)= 0.4871, yp= -3.940, ypp=-189.97, yppp=-2351.6, ypppp=-13437.5
L_5,2( 1.0000)=-0.0000, yp=-16.667, ypp=-325.00, yppp=-3062.5, ypppp=-15000.0

L_5,3( 0.0000)= 0.0000, yp= 16.667, ypp=-325.00, yppp= 3062.5, ypppp=-15000.0
L_5,3( 0.0500)= 0.4871, yp=  3.940, ypp=-189.97, yppp= 2351.6, ypppp=-13437.5
L_5,3( 0.1000)= 0.4922, yp= -2.891, ypp= -88.54, yppp= 1718.7, ypppp=-11875.0
L_5,3( 0.1500)= 0.2698, yp= -5.409, ypp= -16.80, yppp= 1164.1, ypppp=-10312.5
L_5,3( 0.2000)=-0.0000, yp= -5.000, ypp=  29.17, yppp=  687.5, ypppp= -8750.0
L_5,3( 0.2500)=-0.2014, yp= -2.856, ypp=  53.26, yppp=  289.1, ypppp= -7187.5
L_5,3( 0.3000)=-0.2734, yp=  0.026, ypp=  59.37, yppp=  -31.3, ypppp= -5625.0
L_5,3( 0.3500)=-0.2000, yp=  2.847, ypp=  51.43, yppp= -273.4, ypppp= -4062.5
L_5,3( 0.4000)= 0.0000, yp=  5.000, ypp=  33.33, yppp= -437.5, ypppp= -2500.0
L_5,3( 0.4500)= 0.2820, yp=  6.076, ypp=   8.98, yppp= -523.4, ypppp=  -937.5
L_5,3( 0.5000)= 0.5859, yp=  5.859, ypp= -17.71, yppp= -531.3, ypppp=   625.0
L_5,3( 0.5500)= 0.8459, yp=  4.331, ypp= -42.84, yppp= -460.9, ypppp=  2187.5
L_5,3( 0.6000)= 1.0000, yp=  1.667, ypp= -62.50, yppp= -312.5, ypppp=  3750.0
L_5,3( 0.6500)= 0.9998, yp= -1.763, ypp= -72.79, yppp=  -85.9, ypppp=  5312.5
L_5,3( 0.7000)= 0.8203, yp= -5.391, ypp= -69.79, yppp=  218.8, ypppp=  6875.0
L_5,3( 0.7500)= 0.4700, yp= -8.455, ypp= -49.61, yppp=  601.6, ypppp=  8437.5
L_5,3( 0.8000)=-0.0000, yp=-10.000, ypp=  -8.33, yppp= 1062.5, ypppp= 10000.0
L_5,3( 0.8500)=-0.4856, yp= -8.872, ypp=  57.94, yppp= 1601.6, ypppp= 11562.5
L_5,3( 0.9000)=-0.8203, yp= -3.724, ypp= 153.12, yppp= 2218.7, ypppp= 13125.0
L_5,3( 0.9500)=-0.7654, yp=  6.987, ypp= 281.12, yppp= 2914.1, ypppp= 14687.5
L_5,3( 1.0000)= 0.0000, yp= 25.000, ypp= 445.83, yppp= 3687.5, ypppp= 16250.0

L_5,4( 0.0000)=-0.0000, yp= -6.250, ypp= 127.08, yppp=-1281.3, ypppp=  6875.0
L_5,4( 0.0500)=-0.1786, yp= -1.358, ypp=  71.29, yppp= -957.0, ypppp=  6093.8
L_5,4( 0.1000)=-0.1758, yp=  1.133, ypp=  30.73, yppp= -671.9, ypppp=  5312.5
L_5,4( 0.1500)=-0.0934, yp=  1.936, ypp=   3.45, yppp= -425.8, ypppp=  4531.3
L_5,4( 0.2000)= 0.0000, yp=  1.667, ypp= -12.50, yppp= -218.8, ypppp=  3750.0
L_5,4( 0.2500)= 0.0641, yp=  0.842, ypp= -19.08, yppp=  -50.8, ypppp=  2968.7
L_5,4( 0.3000)= 0.0820, yp= -0.117, ypp= -18.23, yppp=   78.1, ypppp=  2187.5
L_5,4( 0.3500)= 0.0555, yp= -0.889, ypp= -11.91, yppp=  168.0, ypppp=  1406.3
L_5,4( 0.4000)=-0.0000, yp= -1.250, ypp=  -2.08, yppp=  218.8, ypppp=   625.0
L_5,4( 0.4500)=-0.0604, yp= -1.072, ypp=   9.31, yppp=  230.5, ypppp=  -156.2
L_5,4( 0.5000)=-0.0977, yp= -0.326, ypp=  20.31, yppp=  203.1, ypppp=  -937.5
L_5,4( 0.5500)=-0.0846, yp=  0.920, ypp=  28.97, yppp=  136.7, ypppp= -1718.8
L_5,4( 0.6000)= 0.0000, yp=  2.500, ypp=  33.33, yppp=   31.2, ypppp= -2500.0
L_5,4( 0.6500)= 0.1666, yp=  4.150, ypp=  31.45, yppp= -113.3, ypppp= -3281.2
L_5,4( 0.7000)= 0.4102, yp=  5.508, ypp=  21.35, yppp= -296.9, ypppp= -4062.5
L_5,4( 0.7500)= 0.7050, yp=  6.116, ypp=   1.11, yppp= -519.5, ypppp= -4843.8
L_5,4( 0.8000)= 1.0000, yp=  5.417, ypp= -31.25, yppp= -781.3, ypppp= -5625.0
L_5,4( 0.8500)= 1.2140, yp=  2.756, ypp= -77.67, yppp=-1082.0, ypppp= -6406.3
L_5,4( 0.9000)= 1.2305, yp= -2.617, ypp=-140.10, yppp=-1421.9, ypppp= -7187.5
L_5,4( 0.9500)= 0.8929, yp=-11.554, ypp=-220.51, yppp=-1800.8, ypppp= -7968.8
L_5,4( 1.0000)=-0.0000, yp=-25.000, ypp=-320.83, yppp=-2218.8, ypppp= -8750.0

L_5,5( 0.0000)= 0.0000, yp=  1.000, ypp= -20.83, yppp=  218.8, ypppp= -1250.0
L_5,5( 0.0500)= 0.0282, yp=  0.207, ypp= -11.39, yppp=  160.2, ypppp= -1093.8
L_5,5( 0.1000)= 0.0273, yp= -0.185, ypp=  -4.69, yppp=  109.4, ypppp=  -937.5
L_5,5( 0.1500)= 0.0143, yp= -0.301, ypp=  -0.33, yppp=   66.4, ypppp=  -781.3
L_5,5( 0.2000)=-0.0000, yp= -0.250, ypp=   2.08, yppp=   31.2, ypppp=  -625.0
L_5,5( 0.2500)=-0.0094, yp= -0.119, ypp=   2.93, yppp=    3.9, ypppp=  -468.8
L_5,5( 0.3000)=-0.0117, yp=  0.023, ypp=   2.60, yppp=  -15.6, ypppp=  -312.5
L_5,5( 0.3500)=-0.0077, yp=  0.128, ypp=   1.50, yppp=  -27.3, ypppp=  -156.3
L_5,5( 0.4000)= 0.0000, yp=  0.167, ypp=   0.00, yppp=  -31.3, ypppp=     0.0
L_5,5( 0.4500)= 0.0077, yp=  0.128, ypp=  -1.50, yppp=  -27.3, ypppp=   156.3
L_5,5( 0.5000)= 0.0117, yp=  0.023, ypp=  -2.60, yppp=  -15.6, ypppp=   312.5
L_5,5( 0.5500)= 0.0094, yp= -0.119, ypp=  -2.93, yppp=    3.9, ypppp=   468.8
L_5,5( 0.6000)=-0.0000, yp= -0.250, ypp=  -2.08, yppp=   31.3, ypppp=   625.0
L_5,5( 0.6500)=-0.0143, yp= -0.301, ypp=   0.33, yppp=   66.4, ypppp=   781.2
L_5,5( 0.7000)=-0.0273, yp= -0.185, ypp=   4.69, yppp=  109.4, ypppp=   937.5
L_5,5( 0.7500)=-0.0282, yp=  0.207, ypp=  11.39, yppp=  160.2, ypppp=  1093.8
L_5,5( 0.8000)= 0.0000, yp=  1.000, ypp=  20.83, yppp=  218.8, ypppp=  1250.0
L_5,5( 0.8500)= 0.0809, yp=  2.342, ypp=  33.40, yppp=  285.2, ypppp=  1406.3
L_5,5( 0.9000)= 0.2461, yp=  4.398, ypp=  49.48, yppp=  359.4, ypppp=  1562.5
L_5,5( 0.9500)= 0.5358, yp=  7.355, ypp=  69.47, yppp=  441.4, ypppp=  1718.8
L_5,5( 1.0000)= 1.0000, yp= 11.417, ypp=  93.75, yppp=  531.3, ypppp=  1875.0


end test_laphi.c