#include <iostream>
#include <fstream>
//#include <stdlib.h>
#include <math.h>
//#include "Lebedev-Laikov.h"
using namespace std;

///       void GEN_OH(int code, int num, double a, double b, double v){
       void GEN_OH(int code, int &num, double* x, double* y, double* z, double* w, double a, double b, double v){
//       implicit logical(a-z)
//       double  x[],y[],z[],w[*];
//       double  a,b,v;
//       int code;
//       int num;
       double  c;
/*     ///  
chvd
chvd   This subroutine is part of a set of subroutines that generate
chvd   Lebedev grids [1-6] for integration on a sphere. The original 
chvd   C-code [1] was kindly provided by Dr. Dmitri N. Laikov and 
chvd   translated into fortran by Dr. Christoph van Wuellen.
chvd   This subroutine was translated from C to fortran77 by hand.
chvd
chvd   Users of this code are asked to include reference [1] in their
chvd   publications, and in the user- and programmers-manuals 
chvd   describing their codes.
chvd
chvd   This code was distributed through CCL (http://www.ccl.net/).
chvd
chvd   [1] V.I. Lebedev, and D.N. Laikov
chvd       "A quadrature formula for the sphere of the 131st
chvd        algebraic order of accuracy"
chvd       Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.
chvd
chvd   [2] V.I. Lebedev
chvd       "A quadrature formula for the sphere of 59th algebraic
chvd        order of accuracy"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286. 
chvd
chvd   [3] V.I. Lebedev, and A.L. Skorokhodov
chvd       "Quadrature formulas of orders 41, 47, and 53 for the sphere"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592. 
chvd
chvd   [4] V.I. Lebedev
chvd       "Spherical quadrature formulas exact to orders 25-29"
chvd       Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107. 
chvd
chvd   [5] V.I. Lebedev
chvd       "Quadratures on a sphere"
chvd       Computational Mathematics and Mathematical Physics, Vol. 16,
chvd       1976, pp. 10-24. 
chvd
chvd   [6] V.I. Lebedev
chvd       "Values of the nodes and weights of ninth to seventeenth 
chvd        order Gauss-Markov quadrature formulae invariant under the
chvd        octahedron group with inversion"
chvd       Computational Mathematics and Mathematical Physics, Vol. 15,
chvd       1975, pp. 44-51.
chvd
cvw
cvw    Given a point on a sphere (specified by a and b), generate all
cvw    the equivalent points under Oh symmetry, making grid points with
cvw    weight v.
cvw    The variable num is increased by the number of different points
cvw    generated.
cvw
cvw    Depending on code, there are 6...48 different but equivalent
cvw    points.
cvw
cvw    code=1:   (0,0,1) etc                                (  6 points)
cvw    code=2:   (0,a,a) etc, a=1/sqrt(2)                   ( 12 points)
cvw    code=3:   (a,a,a) etc, a=1/sqrt(3)                   (  8 points)
cvw    code=4:   (a,a,b) etc, b=sqrt(1-2 a^2)               ( 24 points)
cvw    code=5:   (a,b,0) etc, b=sqrt(1-a^2), a input        ( 24 points)
cvw    code=6:   (a,b,c) etc, c=sqrt(1-a^2-b^2), a/b input  ( 48 points)
cvw
*/
//       goto (1,2,3,4,5,6) code

//       stop

  switch(code)
  {
    case 1:

//    1  continue
       a=1.0;
       x[0 + num] =  a;
       y[0+num] =  0.0;
       z[0+num] =  0.0;
       w[0+num] =  v;
       x[1+num] = -a;
       y[1+num] =  0.0;
       z[1+num] =  0.0;
       w[1+num] =  v;
       x[2+num] =  0.0;
       y[2+num] =  a;
       z[2+num] =  0.0;
       w[2+num] =  v;
       x[3+num] =  0.0;
       y[3+num] = -a;
       z[3+num] =  0.0;
       w[3+num] =  v;
       x[4+num] =  0.0;
       y[4+num] =  0.0;
       z[4+num] =  a;
       w[4+num] =  v;
       x[5+num] =  0.0;
       y[5+num] =  0.0;
       z[5+num] = -a;
       w[5+num] =  v;
std::cout <<  " code = " << code<< "  num = " << num<< " z(0) = " << z[0]
<< "  w(0) = " << w[0] << std::endl;
       
       num=num+6;

       
std::cout <<  " GEN_OH x = " << x[0]<< "  y(0) = " << y[0]<< " z(0) = " << z[0]
<< "  w(0) = " << w[0] << std::endl;
//       return
//cvw
      break;

    case 2:

//    2  continue
       a=sqrt(0.5);
       x[0+num] =  0;
       y[0+num] =  a;
       z[0+num] =  a;
       w[0+num] =  v;
       x[1+num] =  0;
       y[1+num] = -a;
       z[1+num] =  a;
       w[1+num] =  v;
       x[2+num] =  0;
       y[2+num] =  a;
       z[2+num] = -a;
       w[2+num] =  v;
       x[3+num] =  0;
       y[3+num] = -a;
       z[3+num] = -a;
       w[3+num] =  v;
       x[4+num] =  a;
       y[4+num] =  0;
       z[4+num] =  a;
       w[4+num] =  v;
       x[5+num] = -a;
       y[5+num] =  0;
       z[5+num] =  a;
       w[5+num] =  v;
       x[6+num] =  a;
       y[6+num] =  0;
       z[6+num] = -a;
       w[6+num] =  v;
       x[7+num] = -a;
       y[7+num] =  0;
       z[7+num] = -a;
       w[7+num] =  v;
       x[8+num] =  a;
       y[8+num] =  a;
       z[8+num] =  0;
       w[8+num] =  v;
       x[9+num] = -a;
       y[9+num] =  a;
       z[9+num] =  0;
       w[9+num] =  v;
       x[10+num] =  a;
       y[10+num] = -a;
       z[10+num] =  0;
       w[10+num] =  v;
       x[11+num] = -a;
       y[11+num] = -a;
       z[11+num] =  0;
       w[11+num] =  v;
       num=num+12;
//       return
//cvw
      break;

    case 3:

//    3  continue
       a = sqrt(1.0/3.0);
       x[0+num] =  a;
       y[0+num] =  a;
       z[0+num] =  a;
       w[0+num] =  v;
       x[1+num] = -a;
       y[1+num] =  a;
       z[1+num] =  a;
       w[1+num] =  v;
       x[2+num] =  a;
       y[2+num] = -a;
       z[2+num] =  a;
       w[2+num] =  v;
       x[3+num] = -a;
       y[3+num] = -a;
       z[3+num] =  a;
       w[3+num] =  v;
       x[4+num] =  a;
       y[4+num] =  a;
       z[4+num] = -a;
       w[4+num] =  v;
       x[5+num] = -a;
       y[5+num] =  a;
       z[5+num] = -a;
       w[5+num] =  v;
       x[6+num] =  a;
       y[6+num] = -a;
       z[6+num] = -a;
       w[6+num] =  v;
       x[7+num] = -a;
       y[7+num] = -a;
       z[7+num] = -a;
       w[7+num] =  v;
       num=num+8;
//       return
//cvw
      break;


    case 4:

//    4  continue
       b = sqrt(1 - 2*a*a);
       x[0+num] =  a;
       y[0+num] =  a;
       z[0+num] =  b;
       w[0+num] =  v;
       x[1+num] = -a;
       y[1+num] =  a;
       z[1+num] =  b;
       w[1+num] =  v;
       x[2+num] =  a;
       y[2+num] = -a;
       z[2+num] =  b;
       w[2+num] =  v;
       x[3+num] = -a;
       y[3+num] = -a;
       z[3+num] =  b;
       w[3+num] =  v;
       x[4+num] =  a;
       y[4+num] =  a;
       z[4+num] = -b;
       w[4+num] =  v;
       x[5+num] = -a;
       y[5+num] =  a;
       z[5+num] = -b;
       w[5+num] =  v;
       x[6+num] =  a;
       y[6+num] = -a;
       z[6+num] = -b;
       w[6+num] =  v;
       x[7+num] = -a;
       y[7+num] = -a;
       z[7+num] = -b;
       w[7+num] =  v;
       x[8+num] =  a;
       y[8+num] =  b;
       z[8+num] =  a;
       w[8+num] =  v;
       x[9+num] = -a;
       y[9+num] =  b;
       z[9+num] =  a;
       w[9+num] =  v;
       x[10+num] =  a;
       y[10+num] = -b;
       z[10+num] =  a;
       w[10+num] =  v;
       x[11+num] = -a;
       y[11+num] = -b;
       z[11+num] =  a;
       w[11+num] =  v;
       x[12+num] =  a;
       y[12+num] =  b;
       z[12+num] = -a;
       w[12+num] =  v;
       x[13+num] = -a;
       y[13+num] =  b;
       z[13+num] = -a;
       w[13+num] =  v;
       x[14+num] =  a;
       y[14+num] = -b;
       z[14+num] = -a;
       w[14+num] =  v;
       x[15+num] = -a;
       y[15+num] = -b;
       z[15+num] = -a;
       w[15+num] =  v;
       x[16+num] =  b;
       y[16+num] =  a;
       z[16+num] =  a;
       w[16+num] =  v;
       x[17+num] = -b;
       y[17+num] =  a;
       z[17+num] =  a;
       w[17+num] =  v;
       x[18+num] =  b;
       y[18+num] = -a;
       z[18+num] =  a;
       w[18+num] =  v;
       x[19+num] = -b;
       y[19+num] = -a;
       z[19+num] =  a;
       w[19+num] =  v;
       x[20+num] =  b;
       y[20+num] =  a;
       z[20+num] = -a;
       w[20+num] =  v;
       x[21+num] = -b;
       y[21+num] =  a;
       z[21+num] = -a;
       w[21+num] =  v;
       x[22+num] =  b;
       y[22+num] = -a;
       z[22+num] = -a;
       w[22+num] =  v;
       x[23+num] = -b;
       y[23+num] = -a;
       z[23+num] = -a;
       w[23+num] =  v;
       num=num+24;
//       return
//cvw
      break;

    case 5:

//    5  continue
       b=sqrt(1-a*a);
       x[0+num] =  a;
       y[0+num] =  b;
       z[0+num] =  0;
       w[0+num] =  v;
       x[1+num] = -a;
       y[1+num] =  b;
       z[1+num] =  0;
       w[1+num] =  v;
       x[2+num] =  a;
       y[2+num] = -b;
       z[2+num] =  0;
       w[2+num] =  v;
       x[3+num] = -a;
       y[3+num] = -b;
       z[3+num] =  0;
       w[3+num] =  v;
       x[4+num] =  b;
       y[4+num] =  a;
       z[4+num] =  0;
       w[4+num] =  v;
       x[5+num] = -b;
       y[5+num] =  a;
       z[5+num] =  0;
       w[5+num] =  v;
       x[6+num] =  b;
       y[6+num] = -a;
       z[6+num] =  0;
       w[6+num] =  v;
       x[7+num] = -b;
       y[7+num] = -a;
       z[7+num] =  0;
       w[7+num] =  v;
       x[8+num] =  a;
       y[8+num] =  0;
       z[8+num] =  b;
       w[8+num] =  v;
       x[9+num] = -a;
       y[9+num] =  0;
       z[9+num] =  b;
       w[9+num] =  v;
       x[10+num] =  a;
       y[10+num] =  0;
       z[10+num] = -b;
       w[10+num] =  v;
       x[11+num] = -a;
       y[11+num] =  0;
       z[11+num] = -b;
       w[11+num] =  v;
       x[12+num] =  b;
       y[12+num] =  0;
       z[12+num] =  a;
       w[12+num] =  v;
       x[13+num] = -b;
       y[13+num] =  0;
       z[13+num] =  a;
       w[13+num] =  v;
       x[14+num] =  b;
       y[14+num] =  0;
       z[14+num] = -a;
       w[14+num] =  v;
       x[15+num] = -b;
       y[15+num] =  0;
       z[15+num] = -a;
       w[15+num] =  v;
       x[16+num] =  0;
       y[16+num] =  a;
       z[16+num] =  b;
       w[16+num] =  v;
       x[17+num] =  0;
       y[17+num] = -a;
       z[17+num] =  b;
       w[17+num] =  v;
       x[18+num] =  0;
       y[18+num] =  a;
       z[18+num] = -b;
       w[18+num] =  v;
       x[19+num] =  0;
       y[19+num] = -a;
       z[19+num] = -b;
       w[19+num] =  v;
       x[20+num] =  0;
       y[20+num] =  b;
       z[20+num] =  a;
       w[20+num] =  v;
       x[21+num] =  0;
       y[21+num] = -b;
       z[21+num] =  a;
       w[21+num] =  v;
       x[22+num] =  0;
       y[22+num] =  b;
       z[22+num] = -a;
       w[22+num] =  v;
       x[23+num] =  0;
       y[23+num] = -b;
       z[23+num] = -a;
       w[23+num] =  v;
       num=num+24;
//       return
//cvw
     break;

    case 6:
//    6  continue
       c=sqrt(1 - a*a - b*b);
       x[0+num] =  a;
       y[0+num] =  b;
       z[0+num] =  c;
       w[0+num] =  v;
       x[1+num] = -a;
       y[1+num] =  b;
       z[1+num] =  c;
       w[1+num] =  v;
       x[2+num] =  a;
       y[2+num] = -b;
       z[2+num] =  c;
       w[2+num] =  v;
       x[3+num] = -a;
       y[3+num] = -b;
       z[3+num] =  c;
       w[3+num] =  v;
       x[4+num] =  a;
       y[4+num] =  b;
       z[4+num] = -c;
       w[4+num] =  v;
       x[5+num] = -a;
       y[5+num] =  b;
       z[5+num] = -c;
       w[5+num] =  v;
       x[6+num] =  a;
       y[6+num] = -b;
       z[6+num] = -c;
       w[6+num] =  v;
       x[7+num] = -a;
       y[7+num] = -b;
       z[7+num] = -c;
       w[7+num] =  v;
       x[8+num] =  a;
       y[8+num] =  c;
       z[8+num] =  b;
       w[8+num] =  v;
       x[9+num] = -a;
       y[9+num] =  c;
       z[9+num] =  b;
       w[9+num] =  v;
       x[10+num] =  a;
       y[10+num] = -c;
       z[10+num] =  b;
       w[10+num] =  v;
       x[11+num] = -a;
       y[11+num] = -c;
       z[11+num] =  b;
       w[11+num] =  v;
       x[12+num] =  a;
       y[12+num] =  c;
       z[12+num] = -b;
       w[12+num] =  v;
       x[13+num] = -a;
       y[13+num] =  c;
       z[13+num] = -b;
       w[13+num] =  v;
       x[14+num] =  a;
       y[14+num] = -c;
       z[14+num] = -b;
       w[14+num] =  v;
       x[15+num] = -a;
       y[15+num] = -c;
       z[15+num] = -b;
       w[15+num] =  v;
       x[16+num] =  b;
       y[16+num] =  a;
       z[16+num] =  c;
       w[16+num] =  v;
       x[17+num] = -b;
       y[17+num] =  a;
       z[17+num] =  c;
       w[17+num] =  v;
       x[18+num] =  b;
       y[18+num] = -a;
       z[18+num] =  c;
       w[18+num] =  v;
       x[19+num] = -b;
       y[19+num] = -a;
       z[19+num] =  c;
       w[19+num] =  v;
       x[20+num] =  b;
       y[20+num] =  a;
       z[20+num] = -c;
       w[20+num] =  v;
       x[21+num] = -b;
       y[21+num] =  a;
       z[21+num] = -c;
       w[21+num] =  v;
       x[22+num] =  b;
       y[22+num] = -a;
       z[22+num] = -c;
       w[22+num] =  v;
       x[23+num] = -b;
       y[23+num] = -a;
       z[23+num] = -c;
       w[23+num] =  v;
       x[24+num] =  b;
       y[24+num] =  c;
       z[24+num] =  a;
       w[24+num] =  v;
       x[25+num] = -b;
       y[25+num] =  c;
       z[25+num] =  a;
       w[25+num] =  v;
       x[26+num] =  b;
       y[26+num] = -c;
       z[26+num] =  a;
       w[26+num] =  v;
       x[27+num] = -b;
       y[27+num] = -c;
       z[27+num] =  a;
       w[27+num] =  v;
       x[28+num] =  b;
       y[28+num] =  c;
       z[28+num] = -a;
       w[28+num] =  v;
       x[29+num] = -b;
       y[29+num] =  c;
       z[29+num] = -a;
       w[29+num] =  v;
       x[30+num] =  b;
       y[30+num] = -c;
       z[30+num] = -a;
       w[30+num] =  v;
       x[31+num] = -b;
       y[31+num] = -c;
       z[31+num] = -a;
       w[31+num] =  v;
       x[32+num] =  c;
       y[32+num] =  a;
       z[32+num] =  b;
       w[32+num] =  v;
       x[33+num] = -c;
       y[33+num] =  a;
       z[33+num] =  b;
       w[33+num] =  v;
       x[34+num] =  c;
       y[34+num] = -a;
       z[34+num] =  b;
       w[34+num] =  v;
       x[35+num] = -c;
       y[35+num] = -a;
       z[35+num] =  b;
       w[35+num] =  v;
       x[36+num] =  c;
       y[36+num] =  a;
       z[36+num] = -b;
       w[36+num] =  v;
       x[37+num] = -c;
       y[37+num] =  a;
       z[37+num] = -b;
       w[37+num] =  v;
       x[38+num] =  c;
       y[38+num] = -a;
       z[38+num] = -b;
       w[38+num] =  v;
       x[39+num] = -c;
       y[39+num] = -a;
       z[39+num] = -b;
       w[39+num] =  v;
       x[40+num] =  c;
       y[40+num] =  b;
       z[40+num] =  a;
       w[40+num] =  v;
       x[41+num] = -c;
       y[41+num] =  b;
       z[41+num] =  a;
       w[41+num] =  v;
       x[42+num] =  c;
       y[42+num] = -b;
       z[42+num] =  a;
       w[42+num] =  v;
       x[43+num] = -c;
       y[43+num] = -b;
       z[43+num] =  a;
       w[43+num] =  v;
       x[44+num] =  c;
       y[44+num] =  b;
       z[44+num] = -a;
       w[44+num] =  v;
       x[45+num] = -c;
       y[45+num] =  b;
       z[45+num] = -a;
       w[45+num] =  v;
       x[46+num] =  c;
       y[46+num] = -b;
       z[46+num] = -a;
       w[46+num] =  v;
       x[47+num] = -c;
       y[47+num] = -b;
       z[47+num] = -a;
       w[47+num] =  v;
       num=num+48;
//       return
     break;

    default:
       std::cout<< "Gen_Oh: Invalid Code" << std::endl;
      break;
  }







}

       void LD0006(double* x,double* y,double* z,double* w){
/*       double x[6];
       double y[6];
       double z[6];
       double w[6];    */
       int N;
       double a,b,v;
/*
CVW
CVW    LEBEDEV    6-POINT ANGULAR GRID
CVW
chvd
chvd   This subroutine is part of a set of subroutines that generate
chvd   Lebedev grids [1-6] for integration on a sphere. The original
chvd   C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
chvd   translated into fortran by Dr. Christoph van Wuellen.
chvd   This subroutine was translated using a C to fortran77 conversion
chvd   tool written by Dr. Christoph van Wuellen.
chvd
chvd   Users of this code are asked to include reference [1] in their
chvd   publications, and in the user- and programmers-manuals
chvd   describing their codes.
chvd
chvd   This code was distributed through CCL (http://www.ccl.net/).
chvd
chvd   [1] V.I. Lebedev, and D.N. Laikov
chvd       "A quadrature formula for the sphere of the 131st
chvd        algebraic order of accuracy"
chvd       Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.
chvd
chvd   [2] V.I. Lebedev
chvd       "A quadrature formula for the sphere of 59th algebraic
chvd        order of accuracy"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286.
chvd
chvd   [3] V.I. Lebedev, and A.L. Skorokhodov
chvd       "Quadrature formulas of orders 41, 47, and 53 for the sphere"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592.
chvd
chvd   [4] V.I. Lebedev
chvd       "Spherical quadrature formulas exact to orders 25-29"
chvd       Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107.
chvd
chvd   [5] V.I. Lebedev
chvd       "Quadratures on a sphere"
chvd       Computational Mathematics and Mathematical Physics, Vol. 16,
chvd       1976, pp. 10-24.
chvd
chvd   [6] V.I. Lebedev
chvd       "Values of the nodes and weights of ninth to seventeenth
chvd        order Gauss-Markov quadrature formulae invariant under the
chvd        octahedron group with inversion"
chvd       Computational Mathematics and Mathematical Physics, Vol. 15,
chvd       1975, pp. 44-51.
chvd
*/
       N=1;
       v=0.1666666666666667;
       GEN_OH( 1, N, x, y, z, w, a, b, v);
       N=N-1;
       //RETURN
}

       void LD0014(double* x,double* y,double* z,double* w){     
/*       double x[14];
       double y[14];
       double z[14];
       double w[14]; */
       int N;
       double a,b,v;
/*
CVW
CVW    LEBEDEV   14-POINT ANGULAR GRID
CVW
chvd
chvd   This subroutine is part of a set of subroutines that generate
chvd   Lebedev grids [1-6] for integration on a sphere. The original
chvd   C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
chvd   translated into fortran by Dr. Christoph van Wuellen.
chvd   This subroutine was translated using a C to fortran77 conversion
chvd   tool written by Dr. Christoph van Wuellen.
chvd
chvd   Users of this code are asked to include reference [1] in their
chvd   publications, and in the user- and programmers-manuals
chvd   describing their codes.
chvd
chvd   This code was distributed through CCL (http://www.ccl.net/).
chvd
chvd   [1] V.I. Lebedev, and D.N. Laikov
chvd       "A quadrature formula for the sphere of the 131st
chvd        algebraic order of accuracy"
chvd       Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.
chvd
chvd   [2] V.I. Lebedev
chvd       "A quadrature formula for the sphere of 59th algebraic
chvd        order of accuracy"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286.
chvd
chvd   [3] V.I. Lebedev, and A.L. Skorokhodov
chvd       "Quadrature formulas of orders 41, 47, and 53 for the sphere"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592.
chvd
chvd   [4] V.I. Lebedev
chvd       "Spherical quadrature formulas exact to orders 25-29"
chvd       Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107.
chvd
chvd   [5] V.I. Lebedev
chvd       "Quadratures on a sphere"
chvd       Computational Mathematics and Mathematical Physics, Vol. 16,
chvd       1976, pp. 10-24.
chvd
chvd   [6] V.I. Lebedev
chvd       "Values of the nodes and weights of ninth to seventeenth
chvd        order Gauss-Markov quadrature formulae invariant under the
chvd        octahedron group with inversion"
chvd       Computational Mathematics and Mathematical Physics, Vol. 15,
chvd       1975, pp. 44-51.
chvd
*/
       N=1;
       v=0.6666666666666667e-1;
       GEN_OH( 1, N, x, y, z, w, a, b, v);
       v=0.7500000000000000e-1;
       GEN_OH( 3, N, x, y, z, w, a, b, v);
       N=N-1;
       //RETURN
}

       void LD0026(double* x,double* y,double* z,double* w){
/*       double x[26]
       double y[26]
       double z[26]
       double w[26]    */
       int N;
       double a,b,v;
/*
CVW
CVW    LEBEDEV   26-POINT ANGULAR GRID
CVW
chvd
chvd   This subroutine is part of a set of subroutines that generate
chvd   Lebedev grids [1-6] for integration on a sphere. The original
chvd   C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
chvd   translated into fortran by Dr. Christoph van Wuellen.
chvd   This subroutine was translated using a C to fortran77 conversion
chvd   tool written by Dr. Christoph van Wuellen.
chvd
chvd   Users of this code are asked to include reference [1] in their
chvd   publications, and in the user- and programmers-manuals
chvd   describing their codes.
chvd
chvd   This code was distributed through CCL (http://www.ccl.net/).
chvd
chvd   [1] V.I. Lebedev, and D.N. Laikov
chvd       "A quadrature formula for the sphere of the 131st
chvd        algebraic order of accuracy"
chvd       Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.
chvd
chvd   [2] V.I. Lebedev
chvd       "A quadrature formula for the sphere of 59th algebraic
chvd        order of accuracy"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286.
chvd
chvd   [3] V.I. Lebedev, and A.L. Skorokhodov
chvd       "Quadrature formulas of orders 41, 47, and 53 for the sphere"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592.
chvd
chvd   [4] V.I. Lebedev
chvd       "Spherical quadrature formulas exact to orders 25-29"
chvd       Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107.
chvd
chvd   [5] V.I. Lebedev
chvd       "Quadratures on a sphere"
chvd       Computational Mathematics and Mathematical Physics, Vol. 16,
chvd       1976, pp. 10-24.
chvd
chvd   [6] V.I. Lebedev
chvd       "Values of the nodes and weights of ninth to seventeenth
chvd        order Gauss-Markov quadrature formulae invariant under the
chvd        octahedron group with inversion"
chvd       Computational Mathematics and Mathematical Physics, Vol. 15,
chvd       1975, pp. 44-51.
chvd
*/
       N=1;
       v=0.4761904761904762e-1;
       GEN_OH( 1, N, x, y, z, w, a, b, v);
       v=0.3809523809523810e-1;
       GEN_OH( 2, N, x, y, z, w, a, b, v);
       v=0.3214285714285714e-1;
       GEN_OH( 3, N, x, y, z, w, a, b, v);
       N=N-1;
       //RETURN
}

       void LD0038(double* x,double* y,double* z,double* w){
/*       double x[38];
       double y[38];
       double z[38];
       double w[38];      */
       int N;
       double a,b,v;
/*
CVW
CVW    LEBEDEV   38-POINT ANGULAR GRID
CVW
chvd
chvd   This subroutine is part of a set of subroutines that generate
chvd   Lebedev grids [1-6] for integration on a sphere. The original
chvd   C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
chvd   translated into fortran by Dr. Christoph van Wuellen.
chvd   This subroutine was translated using a C to fortran77 conversion
chvd   tool written by Dr. Christoph van Wuellen.
chvd
chvd   Users of this code are asked to include reference [1] in their
chvd   publications, and in the user- and programmers-manuals
chvd   describing their codes.
chvd
chvd   This code was distributed through CCL (http://www.ccl.net/).
chvd
chvd   [1] V.I. Lebedev, and D.N. Laikov
chvd       "A quadrature formula for the sphere of the 131st
chvd        algebraic order of accuracy"
chvd       Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.
chvd
chvd   [2] V.I. Lebedev
chvd       "A quadrature formula for the sphere of 59th algebraic
chvd        order of accuracy"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286.
chvd
chvd   [3] V.I. Lebedev, and A.L. Skorokhodov
chvd       "Quadrature formulas of orders 41, 47, and 53 for the sphere"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592.
chvd
chvd   [4] V.I. Lebedev
chvd       "Spherical quadrature formulas exact to orders 25-29"
chvd       Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107.
chvd
chvd   [5] V.I. Lebedev
chvd       "Quadratures on a sphere"
chvd       Computational Mathematics and Mathematical Physics, Vol. 16,
chvd       1976, pp. 10-24.
chvd
chvd   [6] V.I. Lebedev
chvd       "Values of the nodes and weights of ninth to seventeenth
chvd        order Gauss-Markov quadrature formulae invariant under the
chvd        octahedron group with inversion"
chvd       Computational Mathematics and Mathematical Physics, Vol. 15,
chvd       1975, pp. 44-51.
chvd
*/
       N=1;
       v=0.9523809523809524e-2;
       GEN_OH( 1, N, x, y, z, w, a, b, v);
       v=0.3214285714285714e-1;
       GEN_OH( 3, N, x, y, z, w, a, b, v);
       a=0.4597008433809831;
       v=0.2857142857142857e-1;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       N=N-1;
       //RETURN
}

       void LD0050(double* x,double* y,double* z,double* w){
/*       double x[50];
       double y[50];
       double z[50];
       double w[50];    */
       int N;
       double a,b,v;
/*
CVW
CVW    LEBEDEV   50-POINT ANGULAR GRID
CVW
chvd
chvd   This subroutine is part of a set of subroutines that generate
chvd   Lebedev grids [1-6] for integration on a sphere. The original
chvd   C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
chvd   translated into fortran by Dr. Christoph van Wuellen.
chvd   This subroutine was translated using a C to fortran77 conversion
chvd   tool written by Dr. Christoph van Wuellen.
chvd
chvd   Users of this code are asked to include reference [1] in their
chvd   publications, and in the user- and programmers-manuals
chvd   describing their codes.
chvd
chvd   This code was distributed through CCL (http://www.ccl.net/).
chvd
chvd   [1] V.I. Lebedev, and D.N. Laikov
chvd       "A quadrature formula for the sphere of the 131st
chvd        algebraic order of accuracy"
chvd       Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.
chvd
chvd   [2] V.I. Lebedev
chvd       "A quadrature formula for the sphere of 59th algebraic
chvd        order of accuracy"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286.
chvd
chvd   [3] V.I. Lebedev, and A.L. Skorokhodov
chvd       "Quadrature formulas of orders 41, 47, and 53 for the sphere"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592.
chvd
chvd   [4] V.I. Lebedev
chvd       "Spherical quadrature formulas exact to orders 25-29"
chvd       Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107.
chvd
chvd   [5] V.I. Lebedev
chvd       "Quadratures on a sphere"
chvd       Computational Mathematics and Mathematical Physics, Vol. 16,
chvd       1976, pp. 10-24.
chvd
chvd   [6] V.I. Lebedev
chvd       "Values of the nodes and weights of ninth to seventeenth
chvd        order Gauss-Markov quadrature formulae invariant under the
chvd        octahedron group with inversion"
chvd       Computational Mathematics and Mathematical Physics, Vol. 15,
chvd       1975, pp. 44-51.
chvd
*/
       N=1;
       v=0.1269841269841270e-1;
       GEN_OH( 1, N, x, y, z, w, a, b, v);
       v=0.2257495590828924e-1;
       GEN_OH( 2, N, x, y, z, w, a, b, v);
       v=0.2109375000000000e-1;
       GEN_OH( 3, N, x, y, z, w, a, b, v);
       a=0.3015113445777636;
       v=0.2017333553791887e-1;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       N=N-1;
       //RETURN
}

       void LD0074(double* x,double* y,double* z,double* w){
/*       double x[74];
       double y[74];
       double z[74];
       double w[74];     */
       int N;
       double a,b,v;
/*
CVW
CVW    LEBEDEV   74-POINT ANGULAR GRID
CVW
chvd
chvd   This subroutine is part of a set of subroutines that generate
chvd   Lebedev grids [1-6] for integration on a sphere. The original
chvd   C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
chvd   translated into fortran by Dr. Christoph van Wuellen.
chvd   This subroutine was translated using a C to fortran77 conversion
chvd   tool written by Dr. Christoph van Wuellen.
chvd
chvd   Users of this code are asked to include reference [1] in their
chvd   publications, and in the user- and programmers-manuals
chvd   describing their codes.
chvd
chvd   This code was distributed through CCL (http://www.ccl.net/).
chvd
chvd   [1] V.I. Lebedev, and D.N. Laikov
chvd       "A quadrature formula for the sphere of the 131st
chvd        algebraic order of accuracy"
chvd       Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.
chvd
chvd   [2] V.I. Lebedev
chvd       "A quadrature formula for the sphere of 59th algebraic
chvd        order of accuracy"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286.
chvd
chvd   [3] V.I. Lebedev, and A.L. Skorokhodov
chvd       "Quadrature formulas of orders 41, 47, and 53 for the sphere"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592.
chvd
chvd   [4] V.I. Lebedev
chvd       "Spherical quadrature formulas exact to orders 25-29"
chvd       Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107.
chvd
chvd   [5] V.I. Lebedev
chvd       "Quadratures on a sphere"
chvd       Computational Mathematics and Mathematical Physics, Vol. 16,
chvd       1976, pp. 10-24.
chvd
chvd   [6] V.I. Lebedev
chvd       "Values of the nodes and weights of ninth to seventeenth
chvd        order Gauss-Markov quadrature formulae invariant under the
chvd        octahedron group with inversion"
chvd       Computational Mathematics and Mathematical Physics, Vol. 15,
chvd       1975, pp. 44-51.
chvd
*/
       N=1;
       v=0.5130671797338464e-3;
       GEN_OH( 1, N, x, y, z, w, a, b, v);
       v=0.1660406956574204e-1;
       GEN_OH( 2, N, x, y, z, w, a, b, v);
       v=-0.2958603896103896e-1;
       GEN_OH( 3, N, x, y, z, w, a, b, v);
       a=0.4803844614152614;
       v=0.2657620708215946e-1;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3207726489807764;
       v=0.1652217099371571e-1;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       N=N-1;
       //RETURN
}

       void LD0086(double* x,double* y,double* z,double* w){
/*       double x[86];
       double y[86];
       double z[86];
       double w[86];     */
       int N;
       double a,b,v;
/*
CVW
CVW    LEBEDEV   86-POINT ANGULAR GRID
CVW
chvd
chvd   This subroutine is part of a set of subroutines that generate
chvd   Lebedev grids [1-6] for integration on a sphere. The original
chvd   C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
chvd   translated into fortran by Dr. Christoph van Wuellen.
chvd   This subroutine was translated using a C to fortran77 conversion
chvd   tool written by Dr. Christoph van Wuellen.
chvd
chvd   Users of this code are asked to include reference [1] in their
chvd   publications, and in the user- and programmers-manuals
chvd   describing their codes.
chvd
chvd   This code was distributed through CCL (http://www.ccl.net/).
chvd
chvd   [1] V.I. Lebedev, and D.N. Laikov
chvd       "A quadrature formula for the sphere of the 131st
chvd        algebraic order of accuracy"
chvd       Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.
chvd
chvd   [2] V.I. Lebedev
chvd       "A quadrature formula for the sphere of 59th algebraic
chvd        order of accuracy"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286.
chvd
chvd   [3] V.I. Lebedev, and A.L. Skorokhodov
chvd       "Quadrature formulas of orders 41, 47, and 53 for the sphere"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592.
chvd
chvd   [4] V.I. Lebedev
chvd       "Spherical quadrature formulas exact to orders 25-29"
chvd       Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107.
chvd
chvd   [5] V.I. Lebedev
chvd       "Quadratures on a sphere"
chvd       Computational Mathematics and Mathematical Physics, Vol. 16,
chvd       1976, pp. 10-24.
chvd
chvd   [6] V.I. Lebedev
chvd       "Values of the nodes and weights of ninth to seventeenth
chvd        order Gauss-Markov quadrature formulae invariant under the
chvd        octahedron group with inversion"
chvd       Computational Mathematics and Mathematical Physics, Vol. 15,
chvd       1975, pp. 44-51.
chvd
*/
       N=1;
       v=0.1154401154401154e-1;
       GEN_OH( 1, N, x, y, z, w, a, b, v);
       v=0.1194390908585628e-1;
       GEN_OH( 3, N, x, y, z, w, a, b, v);
       a=0.3696028464541502;
       v=0.1111055571060340e-1;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6943540066026664;
       v=0.1187650129453714e-1;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3742430390903412;
       v=0.1181230374690448e-1;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       N=N-1;
       //RETURN
}

      void LD0110(double* x,double* y,double* z,double* w){
/*       double x[110];
       double y[110];
       double z[110];
       double w[110];     */
       int N;
       double a,b,v;
/*CVW
CVW    LEBEDEV  110-POINT ANGULAR GRID
CVW
chvd
chvd   This subroutine is part of a set of subroutines that generate
chvd   Lebedev grids [1-6] for integration on a sphere. The original
chvd   C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
chvd   translated into fortran by Dr. Christoph van Wuellen.
chvd   This subroutine was translated using a C to fortran77 conversion
chvd   tool written by Dr. Christoph van Wuellen.
chvd
chvd   Users of this code are asked to include reference [1] in their
chvd   publications, and in the user- and programmers-manuals
chvd   describing their codes.
chvd
chvd   This code was distributed through CCL (http://www.ccl.net/).
chvd
chvd   [1] V.I. Lebedev, and D.N. Laikov
chvd       "A quadrature formula for the sphere of the 131st
chvd        algebraic order of accuracy"
chvd       Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.
chvd
chvd   [2] V.I. Lebedev
chvd       "A quadrature formula for the sphere of 59th algebraic
chvd        order of accuracy"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286.
chvd
chvd   [3] V.I. Lebedev, and A.L. Skorokhodov
chvd       "Quadrature formulas of orders 41, 47, and 53 for the sphere"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592.
chvd
chvd   [4] V.I. Lebedev
chvd       "Spherical quadrature formulas exact to orders 25-29"
chvd       Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107.
chvd
chvd   [5] V.I. Lebedev
chvd       "Quadratures on a sphere"
chvd       Computational Mathematics and Mathematical Physics, Vol. 16,
chvd       1976, pp. 10-24.
chvd
chvd   [6] V.I. Lebedev
chvd       "Values of the nodes and weights of ninth to seventeenth
chvd        order Gauss-Markov quadrature formulae invariant under the
chvd        octahedron group with inversion"
chvd       Computational Mathematics and Mathematical Physics, Vol. 15,
chvd       1975, pp. 44-51.
chvd  */
       N=1;
       v=0.3828270494937162e-2;
       GEN_OH( 1, N, x, y, z, w, a, b, v);
       v=0.9793737512487512e-2;
       GEN_OH( 3, N, x, y, z, w, a, b, v);
       a=0.1851156353447362;
       v=0.8211737283191111e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6904210483822922;
       v=0.9942814891178103e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3956894730559419;
       v=0.9595471336070963e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4783690288121502;
       v=0.9694996361663028e-2;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       N=N-1;
       //RETURN
}

        void LD0146(double* x,double* y,double* z,double* w){
/*       double x[146];
       double y[146];
       double z[146];
       double w[146];      */
       int N;
       double a,b,v;
/*CVW
CVW    LEBEDEV  146-POINT ANGULAR GRID
CVW
chvd
chvd   This subroutine is part of a set of subroutines that generate
chvd   Lebedev grids [1-6] for integration on a sphere. The original
chvd   C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
chvd   translated into fortran by Dr. Christoph van Wuellen.
chvd   This subroutine was translated using a C to fortran77 conversion
chvd   tool written by Dr. Christoph van Wuellen.
chvd
chvd   Users of this code are asked to include reference [1] in their
chvd   publications, and in the user- and programmers-manuals
chvd   describing their codes.
chvd
chvd   This code was distributed through CCL (http://www.ccl.net/).
chvd
chvd   [1] V.I. Lebedev, and D.N. Laikov
chvd       "A quadrature formula for the sphere of the 131st
chvd        algebraic order of accuracy"
chvd       Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.
chvd
chvd   [2] V.I. Lebedev
chvd       "A quadrature formula for the sphere of 59th algebraic
chvd        order of accuracy"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286.
chvd
chvd   [3] V.I. Lebedev, and A.L. Skorokhodov
chvd       "Quadrature formulas of orders 41, 47, and 53 for the sphere"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592.
chvd
chvd   [4] V.I. Lebedev
chvd       "Spherical quadrature formulas exact to orders 25-29"
chvd       Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107.
chvd
chvd   [5] V.I. Lebedev
chvd       "Quadratures on a sphere"
chvd       Computational Mathematics and Mathematical Physics, Vol. 16,
chvd       1976, pp. 10-24.
chvd
chvd   [6] V.I. Lebedev
chvd       "Values of the nodes and weights of ninth to seventeenth
chvd        order Gauss-Markov quadrature formulae invariant under the
chvd        octahedron group with inversion"
chvd       Computational Mathematics and Mathematical Physics, Vol. 15,
chvd       1975, pp. 44-51.
chvd    */
       N=1;
       v=0.5996313688621381e-3;
       GEN_OH( 1, N, x, y, z, w, a, b, v);
       v=0.7372999718620756e-2;
       GEN_OH( 2, N, x, y, z, w, a, b, v);
       v=0.7210515360144488e-2;
       GEN_OH( 3, N, x, y, z, w, a, b, v);
       a=0.6764410400114264;
       v=0.7116355493117555e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4174961227965453;
       v=0.6753829486314477e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1574676672039082;
       v=0.7574394159054034e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1403553811713183;
       b=0.4493328323269557;
       v=0.6991087353303262e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       N=N-1;
       //RETURN
}

       void LD0170(double* x,double* y,double* z,double* w){
/*       double x[170];
       double y[170];
       double z[170];
       double w[170];   */
       int N;
       double a,b,v;
/*CVW
CVW    LEBEDEV  170-POINT ANGULAR GRID
CVW
chvd
chvd   This subroutine is part of a set of subroutines that generate
chvd   Lebedev grids [1-6] for integration on a sphere. The original
chvd   C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
chvd   translated into fortran by Dr. Christoph van Wuellen.
chvd   This subroutine was translated using a C to fortran77 conversion
chvd   tool written by Dr. Christoph van Wuellen.
chvd
chvd   Users of this code are asked to include reference [1] in their
chvd   publications, and in the user- and programmers-manuals
chvd   describing their codes.
chvd
chvd   This code was distributed through CCL (http://www.ccl.net/).
chvd
chvd   [1] V.I. Lebedev, and D.N. Laikov
chvd       "A quadrature formula for the sphere of the 131st
chvd        algebraic order of accuracy"
chvd       Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.
chvd
chvd   [2] V.I. Lebedev
chvd       "A quadrature formula for the sphere of 59th algebraic
chvd        order of accuracy"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286.
chvd
chvd   [3] V.I. Lebedev, and A.L. Skorokhodov
chvd       "Quadrature formulas of orders 41, 47, and 53 for the sphere"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592.
chvd
chvd   [4] V.I. Lebedev
chvd       "Spherical quadrature formulas exact to orders 25-29"
chvd       Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107.
chvd
chvd   [5] V.I. Lebedev
chvd       "Quadratures on a sphere"
chvd       Computational Mathematics and Mathematical Physics, Vol. 16,
chvd       1976, pp. 10-24.
chvd
chvd   [6] V.I. Lebedev
chvd       "Values of the nodes and weights of ninth to seventeenth
chvd        order Gauss-Markov quadrature formulae invariant under the
chvd        octahedron group with inversion"
chvd       Computational Mathematics and Mathematical Physics, Vol. 15,
chvd       1975, pp. 44-51.
chvd   */
       N=1;
       v=0.5544842902037365e-2;
       GEN_OH( 1, N, x, y, z, w, a, b, v);
       v=0.6071332770670752e-2;
       GEN_OH( 2, N, x, y, z, w, a, b, v);
       v=0.6383674773515093e-2;
       GEN_OH( 3, N, x, y, z, w, a, b, v);
       a=0.2551252621114134;
       v=0.5183387587747790e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6743601460362766;
       v=0.6317929009813725e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4318910696719410 ;
       v=0.6201670006589077e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2613931360335988;
       v=0.5477143385137348e-2;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.4990453161796037;
       b=0.1446630744325115;
       v=0.5968383987681156e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       N=N-1;
       //RETURN
}

        void LD0194(double* x,double* y,double* z,double* w){
/*     double x[194];
       double y[194];
       double z[194];
       double w[194]; */
       int N;
       double a,b,v;
/*CVW
CVW    LEBEDEV  194-POINT ANGULAR GRID
CVW
chvd
chvd   This subroutine is part of a set of subroutines that generate
chvd   Lebedev grids [1-6] for integration on a sphere. The original
chvd   C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
chvd   translated into fortran by Dr. Christoph van Wuellen.
chvd   This subroutine was translated using a C to fortran77 conversion
chvd   tool written by Dr. Christoph van Wuellen.
chvd
chvd   Users of this code are asked to include reference [1] in their
chvd   publications, and in the user- and programmers-manuals
chvd   describing their codes.
chvd
chvd   This code was distributed through CCL (http://www.ccl.net/).
chvd
chvd   [1] V.I. Lebedev, and D.N. Laikov
chvd       "A quadrature formula for the sphere of the 131st
chvd        algebraic order of accuracy"
chvd       Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.
chvd
chvd   [2] V.I. Lebedev
chvd       "A quadrature formula for the sphere of 59th algebraic
chvd        order of accuracy"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286.
chvd
chvd   [3] V.I. Lebedev, and A.L. Skorokhodov
chvd       "Quadrature formulas of orders 41, 47, and 53 for the sphere"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592.
chvd
chvd   [4] V.I. Lebedev
chvd       "Spherical quadrature formulas exact to orders 25-29"
chvd       Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107.
chvd
chvd   [5] V.I. Lebedev
chvd       "Quadratures on a sphere"
chvd       Computational Mathematics and Mathematical Physics, Vol. 16,
chvd       1976, pp. 10-24.
chvd
chvd   [6] V.I. Lebedev
chvd       "Values of the nodes and weights of ninth to seventeenth
chvd        order Gauss-Markov quadrature formulae invariant under the
chvd        octahedron group with inversion"
chvd       Computational Mathematics and Mathematical Physics, Vol. 15,
chvd       1975, pp. 44-51.
chvd    */
       N=1;
       v=0.1782340447244611e-2;
       GEN_OH( 1, N, x, y, z, w, a, b, v);
       v=0.5716905949977102e-2;
       GEN_OH( 2, N, x, y, z, w, a, b, v);
       v=0.5573383178848738e-2;
       GEN_OH( 3, N, x, y, z, w, a, b, v);
       a=0.6712973442695226;
       v=0.5608704082587997e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2892465627575439;
       v=0.5158237711805383e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4446933178717437;
       v=0.5518771467273614e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1299335447650067 ;
       v=0.4106777028169394e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3457702197611283;
       v=0.5051846064614808e-2;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.1590417105383530;
       b=0.8360360154824589;
       v=0.5530248916233094e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       N=N-1;
       //RETURN
}

        void LD0230(double* x,double* y,double* z,double* w){
/*     double x[230];
       double y[230];
       double z[230];
       double w[230];   */
       int N;
       double a,b,v;
/*
CVW
CVW    LEBEDEV  230-POINT ANGULAR GRID
CVW
chvd
chvd   This subroutine is part of a set of subroutines that generate
chvd   Lebedev grids [1-6] for integration on a sphere. The original
chvd   C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
chvd   translated into fortran by Dr. Christoph van Wuellen.
chvd   This subroutine was translated using a C to fortran77 conversion
chvd   tool written by Dr. Christoph van Wuellen.
chvd
chvd   Users of this code are asked to include reference [1] in their
chvd   publications, and in the user- and programmers-manuals
chvd   describing their codes.
chvd
chvd   This code was distributed through CCL (http://www.ccl.net/).
chvd
chvd   [1] V.I. Lebedev, and D.N. Laikov
chvd       "A quadrature formula for the sphere of the 131st
chvd        algebraic order of accuracy"
chvd       Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.
chvd
chvd   [2] V.I. Lebedev
chvd       "A quadrature formula for the sphere of 59th algebraic
chvd        order of accuracy"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286.
chvd
chvd   [3] V.I. Lebedev, and A.L. Skorokhodov
chvd       "Quadrature formulas of orders 41, 47, and 53 for the sphere"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592.
chvd
chvd   [4] V.I. Lebedev
chvd       "Spherical quadrature formulas exact to orders 25-29"
chvd       Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107.
chvd
chvd   [5] V.I. Lebedev
chvd       "Quadratures on a sphere"
chvd       Computational Mathematics and Mathematical Physics, Vol. 16,
chvd       1976, pp. 10-24.
chvd
chvd   [6] V.I. Lebedev
chvd       "Values of the nodes and weights of ninth to seventeenth
chvd        order Gauss-Markov quadrature formulae invariant under the
chvd        octahedron group with inversion"
chvd       Computational Mathematics and Mathematical Physics, Vol. 15,
chvd       1975, pp. 44-51.
chvd
*/
       N=1;
       v=-0.5522639919727325e-1;
       GEN_OH( 1, N, x, y, z, w, a, b, v);
       v=0.4450274607445226e-2;
       GEN_OH( 3, N, x, y, z, w, a, b, v);
       a=0.4492044687397611;
       v=0.4496841067921404e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2520419490210201;
       v=0.5049153450478750e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6981906658447242;
       v=0.3976408018051883e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6587405243460960;
       v=0.4401400650381014e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4038544050097660e-1;
       v=0.1724544350544401e-1;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.5823842309715585;
       v=0.4231083095357343e-2;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.3545877390518688;
       v=0.5198069864064399e-2;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.2272181808998187;
       b=0.4864661535886647;
       v=0.4695720972568883e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       N=N-1;
       //RETURN
}

        void LD0266(double* x,double* y,double* z,double* w){
/*     double x[266];
       double y[266];
       double z[266];
       double w[266];     */
       int N;
       double a,b,v;
/*
CVW
CVW    LEBEDEV  266-POINT ANGULAR GRID
CVW
chvd
chvd   This subroutine is part of a set of subroutines that generate
chvd   Lebedev grids [1-6] for integration on a sphere. The original
chvd   C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
chvd   translated into fortran by Dr. Christoph van Wuellen.
chvd   This subroutine was translated using a C to fortran77 conversion
chvd   tool written by Dr. Christoph van Wuellen.
chvd
chvd   Users of this code are asked to include reference [1] in their
chvd   publications, and in the user- and programmers-manuals
chvd   describing their codes.
chvd
chvd   This code was distributed through CCL (http://www.ccl.net/).
chvd
chvd   [1] V.I. Lebedev, and D.N. Laikov
chvd       "A quadrature formula for the sphere of the 131st
chvd        algebraic order of accuracy"
chvd       Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.
chvd
chvd   [2] V.I. Lebedev
chvd       "A quadrature formula for the sphere of 59th algebraic
chvd        order of accuracy"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286.
chvd
chvd   [3] V.I. Lebedev, and A.L. Skorokhodov
chvd       "Quadrature formulas of orders 41, 47, and 53 for the sphere"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592.
chvd
chvd   [4] V.I. Lebedev
chvd       "Spherical quadrature formulas exact to orders 25-29"
chvd       Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107.
chvd
chvd   [5] V.I. Lebedev
chvd       "Quadratures on a sphere"
chvd       Computational Mathematics and Mathematical Physics, Vol. 16,
chvd       1976, pp. 10-24.
chvd
chvd   [6] V.I. Lebedev
chvd       "Values of the nodes and weights of ninth to seventeenth
chvd        order Gauss-Markov quadrature formulae invariant under the
chvd        octahedron group with inversion"
chvd       Computational Mathematics and Mathematical Physics, Vol. 15,
chvd       1975, pp. 44-51.
chvd
*/
       N=1;
       v=-0.1313769127326952e-2;
       GEN_OH( 1, N, x, y, z, w, a, b, v);
       v=-0.2522728704859336e-2;
       GEN_OH( 2, N, x, y, z, w, a, b, v);
       v=0.4186853881700583e-2;
       GEN_OH( 3, N, x, y, z, w, a, b, v);
       a=0.7039373391585475;
       v=0.5315167977810885e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1012526248572414 ;
       v=0.4047142377086219e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4647448726420539;
       v=0.4112482394406990e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3277420654971629;
       v=0.3595584899758782e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6620338663699974 ;
       v=0.4256131351428158e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.8506508083520399 ;
       v=0.4229582700647240e-2;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.3233484542692899 ;
       b=0.1153112011009701;
       v=0.4080914225780505e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2314790158712601;
       b=0.5244939240922365 ;
       v=0.4071467593830964e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       N=N-1;
       //RETURN
}

        void LD0302(double* x,double* y,double* z,double* w){
/*     double x[302];
       double y[302];
       double z[302];
       double w[302];    */
       int N;
       double a,b,v;
/*
CVW
CVW    LEBEDEV  302-POINT ANGULAR GRID
CVW
chvd
chvd   This subroutine is part of a set of subroutines that generate
chvd   Lebedev grids [1-6] for integration on a sphere. The original
chvd   C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
chvd   translated into fortran by Dr. Christoph van Wuellen.
chvd   This subroutine was translated using a C to fortran77 conversion
chvd   tool written by Dr. Christoph van Wuellen.
chvd
chvd   Users of this code are asked to include reference [1] in their
chvd   publications, and in the user- and programmers-manuals
chvd   describing their codes.
chvd
chvd   This code was distributed through CCL (http://www.ccl.net/).
chvd
chvd   [1] V.I. Lebedev, and D.N. Laikov
chvd       "A quadrature formula for the sphere of the 131st
chvd        algebraic order of accuracy"
chvd       Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.
chvd
chvd   [2] V.I. Lebedev
chvd       "A quadrature formula for the sphere of 59th algebraic
chvd        order of accuracy"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286.
chvd
chvd   [3] V.I. Lebedev, and A.L. Skorokhodov
chvd       "Quadrature formulas of orders 41, 47, and 53 for the sphere"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592.
chvd
chvd   [4] V.I. Lebedev
chvd       "Spherical quadrature formulas exact to orders 25-29"
chvd       Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107.
chvd
chvd   [5] V.I. Lebedev
chvd       "Quadratures on a sphere"
chvd       Computational Mathematics and Mathematical Physics, Vol. 16,
chvd       1976, pp. 10-24.
chvd
chvd   [6] V.I. Lebedev
chvd       "Values of the nodes and weights of ninth to seventeenth
chvd        order Gauss-Markov quadrature formulae invariant under the
chvd        octahedron group with inversion"
chvd       Computational Mathematics and Mathematical Physics, Vol. 15,
chvd       1975, pp. 44-51.
chvd
*/
       N=1;
       v=0.8545911725128148e-3;
       GEN_OH( 1, N, x, y, z, w, a, b, v);
       v=0.3599119285025571e-2;
       GEN_OH( 3, N, x, y, z, w, a, b, v);
       a=0.3515640345570105;
       v=0.3449788424305883e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6566329410219612;
       v=0.3604822601419882e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4729054132581005;
       v=0.3576729661743367e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.9618308522614784e-1;
       v=0.2352101413689164e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2219645236294178 ;
       v=0.3108953122413675e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.7011766416089545;
       v=0.3650045807677255e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2644152887060663;
       v=0.2982344963171804e-2;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.5718955891878961;
       v=0.3600820932216460e-2;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.2510034751770465 ;
       b=0.8000727494073952;
       v=0.3571540554273387e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1233548532583327;
       b=0.4127724083168531;
       v=0.3392312205006170e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       N=N-1;
       //RETURN
}  //       END

       void LD0350(double* x,double* y,double* z,double* w){
/*     double x[350];
       double y[350];
       double z[350];
       double w[350];    */
       int N;
       double a,b,v;
/*
CVW
CVW    LEBEDEV  350-POINT ANGULAR GRID
CVW
chvd
chvd   This subroutine is part of a set of subroutines that generate
chvd   Lebedev grids [1-6] for integration on a sphere. The original
chvd   C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
chvd   translated into fortran by Dr. Christoph van Wuellen.
chvd   This subroutine was translated using a C to fortran77 conversion
chvd   tool written by Dr. Christoph van Wuellen.
chvd
chvd   Users of this code are asked to include reference [1] in their
chvd   publications, and in the user- and programmers-manuals
chvd   describing their codes.
chvd
chvd   This code was distributed through CCL (http://www.ccl.net/).
chvd
chvd   [1] V.I. Lebedev, and D.N. Laikov
chvd       "A quadrature formula for the sphere of the 131st
chvd        algebraic order of accuracy"
chvd       Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.
chvd
chvd   [2] V.I. Lebedev
chvd       "A quadrature formula for the sphere of 59th algebraic
chvd        order of accuracy"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286.
chvd
chvd   [3] V.I. Lebedev, and A.L. Skorokhodov
chvd       "Quadrature formulas of orders 41, 47, and 53 for the sphere"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592.
chvd
chvd   [4] V.I. Lebedev
chvd       "Spherical quadrature formulas exact to orders 25-29"
chvd       Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107.
chvd
chvd   [5] V.I. Lebedev
chvd       "Quadratures on a sphere"
chvd       Computational Mathematics and Mathematical Physics, Vol. 16,
chvd       1976, pp. 10-24.
chvd
chvd   [6] V.I. Lebedev
chvd       "Values of the nodes and weights of ninth to seventeenth
chvd        order Gauss-Markov quadrature formulae invariant under the
chvd        octahedron group with inversion"
chvd       Computational Mathematics and Mathematical Physics, Vol. 15,
chvd       1975, pp. 44-51.
chvd
*/
       N=1;
       v=0.3006796749453936e-2;
       GEN_OH( 1, N, x, y, z, w, a, b, v);
       v=0.3050627745650771e-2;
       GEN_OH( 3, N, x, y, z, w, a, b, v);
       a=0.7068965463912316;
       v=0.1621104600288991e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4794682625712025;
       v=0.3005701484901752e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1927533154878019 ;
       v=0.2990992529653774e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6930357961327123;
       v=0.2982170644107595e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3608302115520091;
       v=0.2721564237310992e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6498486161496169;
       v=0.3033513795811141e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1932945013230339;
       v=0.3007949555218533e-2;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.3800494919899303;
       v=0.2881964603055307e-2;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.2899558825499574;
       b=0.7934537856582316 ;
       v=0.2958357626535696e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.9684121455103957e-1;
       b=0.8280801506686862 ;
       v=0.3036020026407088e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1833434647041659;
       b=0.9074658265305127;
       v=0.2832187403926303e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       N=N-1;
       //RETURN
}  //       END
       void LD0434(double* x,double* y,double* z,double* w){
/*     double x[434];
       double y[434];
       double z[434];
       double w[434];   */
       int N;
       double a,b,v;
/*
CVW
CVW    LEBEDEV  434-POINT ANGULAR GRID
CVW
chvd
chvd   This subroutine is part of a set of subroutines that generate
chvd   Lebedev grids [1-6] for integration on a sphere. The original
chvd   C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
chvd   translated into fortran by Dr. Christoph van Wuellen.
chvd   This subroutine was translated using a C to fortran77 conversion
chvd   tool written by Dr. Christoph van Wuellen.
chvd
chvd   Users of this code are asked to include reference [1] in their
chvd   publications, and in the user- and programmers-manuals
chvd   describing their codes.
chvd
chvd   This code was distributed through CCL (http://www.ccl.net/).
chvd
chvd   [1] V.I. Lebedev, and D.N. Laikov
chvd       "A quadrature formula for the sphere of the 131st
chvd        algebraic order of accuracy"
chvd       Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.
chvd
chvd   [2] V.I. Lebedev
chvd       "A quadrature formula for the sphere of 59th algebraic
chvd        order of accuracy"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286.
chvd
chvd   [3] V.I. Lebedev, and A.L. Skorokhodov
chvd       "Quadrature formulas of orders 41, 47, and 53 for the sphere"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592.
chvd
chvd   [4] V.I. Lebedev
chvd       "Spherical quadrature formulas exact to orders 25-29"
chvd       Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107.
chvd
chvd   [5] V.I. Lebedev
chvd       "Quadratures on a sphere"
chvd       Computational Mathematics and Mathematical Physics, Vol. 16,
chvd       1976, pp. 10-24.
chvd
chvd   [6] V.I. Lebedev
chvd       "Values of the nodes and weights of ninth to seventeenth
chvd        order Gauss-Markov quadrature formulae invariant under the
chvd        octahedron group with inversion"
chvd       Computational Mathematics and Mathematical Physics, Vol. 15,
chvd       1975, pp. 44-51.
chvd
*/
       N=1;
       v=0.5265897968224436e-3;
       GEN_OH( 1, N, x, y, z, w, a, b, v);
       v=0.2548219972002607e-2;
       GEN_OH( 2, N, x, y, z, w, a, b, v);
       v=0.2512317418927307e-2;
       GEN_OH( 3, N, x, y, z, w, a, b, v);
       a=0.6909346307509111;
       v=0.2530403801186355e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1774836054609158 ;
       v=0.2014279020918528e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4914342637784746;
       v=0.2501725168402936e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6456664707424256;
       v=0.2513267174597564e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2861289010307638;
       v=0.2302694782227416e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.7568084367178018e-1;
       v=0.1462495621594614e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3927259763368002 ;
       v=0.2445373437312980e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.8818132877794288;
       v=0.2417442375638981e-2;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.9776428111182649 ;
       v=0.1910951282179532e-2;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.2054823696403044 ;
       b=0.8689460322872412;
       v=0.2416930044324775e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5905157048925271 ;
       b=0.7999278543857286;
       v=0.2512236854563495e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5550152361076807;
       b=0.7717462626915901 ;
       v=0.2496644054553086e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.9371809858553722 ;
       b=0.3344363145343455  ;
       v=0.2236607760437849e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       N=N-1;
       //RETURN
}  //       END
       void LD0590(double* x,double* y,double* z,double* w){
/*     double x[590];
       double y[590];
       double z[590];
       double w[590];     */
       int N;
       double a,b,v;
/*
CVW
CVW    LEBEDEV  590-POINT ANGULAR GRID
CVW
chvd
chvd   This subroutine is part of a set of subroutines that generate
chvd   Lebedev grids [1-6] for integration on a sphere. The original
chvd   C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
chvd   translated into fortran by Dr. Christoph van Wuellen.
chvd   This subroutine was translated using a C to fortran77 conversion
chvd   tool written by Dr. Christoph van Wuellen.
chvd
chvd   Users of this code are asked to include reference [1] in their
chvd   publications, and in the user- and programmers-manuals
chvd   describing their codes.
chvd
chvd   This code was distributed through CCL (http://www.ccl.net/).
chvd
chvd   [1] V.I. Lebedev, and D.N. Laikov
chvd       "A quadrature formula for the sphere of the 131st
chvd        algebraic order of accuracy"
chvd       Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.
chvd
chvd   [2] V.I. Lebedev
chvd       "A quadrature formula for the sphere of 59th algebraic
chvd        order of accuracy"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286.
chvd
chvd   [3] V.I. Lebedev, and A.L. Skorokhodov
chvd       "Quadrature formulas of orders 41, 47, and 53 for the sphere"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592.
chvd
chvd   [4] V.I. Lebedev
chvd       "Spherical quadrature formulas exact to orders 25-29"
chvd       Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107.
chvd
chvd   [5] V.I. Lebedev
chvd       "Quadratures on a sphere"
chvd       Computational Mathematics and Mathematical Physics, Vol. 16,
chvd       1976, pp. 10-24.
chvd
chvd   [6] V.I. Lebedev
chvd       "Values of the nodes and weights of ninth to seventeenth
chvd        order Gauss-Markov quadrature formulae invariant under the
chvd        octahedron group with inversion"
chvd       Computational Mathematics and Mathematical Physics, Vol. 15,
chvd       1975, pp. 44-51.
chvd
*/
       N=1;
       v=0.3095121295306187e-3;
       GEN_OH( 1, N, x, y, z, w, a, b, v);
       v=0.1852379698597489e-2;
       GEN_OH( 3, N, x, y, z, w, a, b, v);
       a=0.7040954938227469;
       v=0.1871790639277744e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6807744066455243 ;
       v=0.1858812585438317e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6372546939258752;
       v=0.1852028828296213e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.5044419707800358;
       v=0.1846715956151242e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4215761784010967 ;
       v=0.1818471778162769e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3317920736472123 ;
       v=0.1749564657281154e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2384736701421887 ;
       v=0.1617210647254411e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1459036449157763 ;
       v=0.1384737234851692e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6095034115507196e-1;
       v=0.9764331165051050e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6116843442009876 ;
       v=0.1857161196774078e-2;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.3964755348199858 ;
       v=0.1705153996395864e-2;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.1724782009907724 ;
       v=0.1300321685886048e-2;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.5610263808622060;
       b=0.3518280927733519;
       v=0.1842866472905286e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4742392842551980;
       b=0.2634716655937950;
       v=0.1802658934377451e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5984126497885380;
       b=0.1816640840360209;
       v=0.1849830560443660e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3791035407695563;
       b=0.1720795225656878;
       v=0.1713904507106709e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2778673190586244 ;
       b=0.8213021581932511e-1;
       v=0.1555213603396808e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5033564271075117;
       b=0.8999205842074875e-1;
       v=0.1802239128008525e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       N=N-1;
       //RETURN
}  //       END
       void LD0770(double* x,double* y,double* z,double* w){
/*     double x[770];
       double y[770];
       double z[770];
       double w[770];   */
       int N;
       double a,b,v;
/*
CVW
CVW    LEBEDEV  770-POINT ANGULAR GRID
CVW
chvd
chvd   This subroutine is part of a set of subroutines that generate
chvd   Lebedev grids [1-6] for integration on a sphere. The original
chvd   C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
chvd   translated into fortran by Dr. Christoph van Wuellen.
chvd   This subroutine was translated using a C to fortran77 conversion
chvd   tool written by Dr. Christoph van Wuellen.
chvd
chvd   Users of this code are asked to include reference [1] in their
chvd   publications, and in the user- and programmers-manuals
chvd   describing their codes.
chvd
chvd   This code was distributed through CCL (http://www.ccl.net/).
chvd
chvd   [1] V.I. Lebedev, and D.N. Laikov
chvd       "A quadrature formula for the sphere of the 131st
chvd        algebraic order of accuracy"
chvd       Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.
chvd
chvd   [2] V.I. Lebedev
chvd       "A quadrature formula for the sphere of 59th algebraic
chvd        order of accuracy"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286.
chvd
chvd   [3] V.I. Lebedev, and A.L. Skorokhodov
chvd       "Quadrature formulas of orders 41, 47, and 53 for the sphere"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592.
chvd
chvd   [4] V.I. Lebedev
chvd       "Spherical quadrature formulas exact to orders 25-29"
chvd       Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107.
chvd
chvd   [5] V.I. Lebedev
chvd       "Quadratures on a sphere"
chvd       Computational Mathematics and Mathematical Physics, Vol. 16,
chvd       1976, pp. 10-24.
chvd
chvd   [6] V.I. Lebedev
chvd       "Values of the nodes and weights of ninth to seventeenth
chvd        order Gauss-Markov quadrature formulae invariant under the
chvd        octahedron group with inversion"
chvd       Computational Mathematics and Mathematical Physics, Vol. 15,
chvd       1975, pp. 44-51.
chvd
*/
       N=1;
       v=0.2192942088181184e-3;
       GEN_OH( 1, N, x, y, z, w, a, b, v);
       v=0.1436433617319080e-2;
       GEN_OH( 2, N, x, y, z, w, a, b, v);
       v=0.1421940344335877e-2;
       GEN_OH( 3, N, x, y, z, w, a, b, v);
       a=0.5087204410502360e-1;
       v=0.6798123511050502e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1228198790178831;
       v=0.9913184235294912e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2026890814408786 ;
       v=0.1180207833238949e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2847745156464294 ;
       v=0.1296599602080921e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3656719078978026 ;
       v=0.1365871427428316e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4428264886713469 ;
       v=0.1402988604775325e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.5140619627249735 ;
       v=0.1418645563595609e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6306401219166803;
       v=0.1421376741851662e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6716883332022612 ;
       v=0.1423996475490962e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6979792685336881 ;
       v=0.1431554042178567e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1446865674195309;
       v=0.9254401499865368e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.3390263475411216 ;
       v=0.1250239995053509e-2;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.5335804651263506;
       v=0.1394365843329230e-2;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.6944024393349413e-1;
       b=0.2355187894242326;
       v=0.1127089094671749e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2269004109529460 ;
       b=0.4102182474045730 ;
       v=0.1345753760910670e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.8025574607775339e-1;
       b=0.6214302417481605 ;
       v=0.1424957283316783e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1467999527896572;
       b=0.3245284345717394;
       v=0.1261523341237750e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1571507769824727;
       b=0.5224482189696630 ;
       v=0.1392547106052696e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2365702993157246 ;
       b=0.6017546634089558;
       v=0.1418761677877656e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.7714815866765732e-1;
       b=0.4346575516141163 ;
       v=0.1338366684479554e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3062936666210730 ;
       b=0.4908826589037616;
       v=0.1393700862676131e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3822477379524787 ;
       b=0.5648768149099500;
       v=0.1415914757466932e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       N=N-1;
       //RETURN
}  //       END
       void LD0974(double* x,double* y,double* z,double* w){
/*     double x[974];
       double y[974];
       double z[974];
       double w[974];    */
       int N;
       double a,b,v;
/*
CVW
CVW    LEBEDEV  974-POINT ANGULAR GRID
CVW
chvd
chvd   This subroutine is part of a set of subroutines that generate
chvd   Lebedev grids [1-6] for integration on a sphere. The original
chvd   C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
chvd   translated into fortran by Dr. Christoph van Wuellen.
chvd   This subroutine was translated using a C to fortran77 conversion
chvd   tool written by Dr. Christoph van Wuellen.
chvd
chvd   Users of this code are asked to include reference [1] in their
chvd   publications, and in the user- and programmers-manuals
chvd   describing their codes.
chvd
chvd   This code was distributed through CCL (http://www.ccl.net/).
chvd
chvd   [1] V.I. Lebedev, and D.N. Laikov
chvd       "A quadrature formula for the sphere of the 131st
chvd        algebraic order of accuracy"
chvd       Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.
chvd
chvd   [2] V.I. Lebedev
chvd       "A quadrature formula for the sphere of 59th algebraic
chvd        order of accuracy"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286.
chvd
chvd   [3] V.I. Lebedev, and A.L. Skorokhodov
chvd       "Quadrature formulas of orders 41, 47, and 53 for the sphere"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592.
chvd
chvd   [4] V.I. Lebedev
chvd       "Spherical quadrature formulas exact to orders 25-29"
chvd       Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107.
chvd
chvd   [5] V.I. Lebedev
chvd       "Quadratures on a sphere"
chvd       Computational Mathematics and Mathematical Physics, Vol. 16,
chvd       1976, pp. 10-24.
chvd
chvd   [6] V.I. Lebedev
chvd       "Values of the nodes and weights of ninth to seventeenth
chvd        order Gauss-Markov quadrature formulae invariant under the
chvd        octahedron group with inversion"
chvd       Computational Mathematics and Mathematical Physics, Vol. 15,
chvd       1975, pp. 44-51.
chvd
*/
       N=1;
       v=0.1438294190527431e-3;
       GEN_OH( 1, N, x, y, z, w, a, b, v);
       v=0.1125772288287004e-2;
       GEN_OH( 3, N, x, y, z, w, a, b, v);
       a=0.4292963545341347e-1;
       v=0.4948029341949241e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1051426854086404 ;
       v=0.7357990109125470e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1750024867623087 ;
       v=0.8889132771304384e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2477653379650257 ;
       v=0.9888347838921435e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3206567123955957 ;
       v=0.1053299681709471e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3916520749849983 ;
       v=0.1092778807014578e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4590825874187624;
       v=0.1114389394063227e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.5214563888415861;
       v=0.1123724788051555e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6253170244654199;
       v=0.1125239325243814e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6637926744523170 ;
       v=0.1126153271815905e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6910410398498301 ;
       v=0.1130286931123841e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.7052907007457760;
       v=0.1134986534363955e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1236686762657990 ;
       v=0.6823367927109931e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.2940777114468387;
       v=0.9454158160447096e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.4697753849207649;
       v=0.1074429975385679e-2;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.6334563241139567 ;
       v=0.1129300086569132e-2;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.5974048614181342e-1;
       b=0.2029128752777523 ;
       v=0.8436884500901954e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1375760408473636;
       b=0.4602621942484054;
       v=0.1075255720448885e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3391016526336286 ;
       b=0.5030673999662036 ;
       v=0.1108577236864462e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1271675191439820;
       b=0.2817606422442134;
       v=0.9566475323783357e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2693120740413512;
       b=0.4331561291720157 ;
       v=0.1080663250717391e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1419786452601918;
       b=0.6256167358580814 ;
       v=0.1126797131196295e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6709284600738255e-1;
       b=0.3798395216859157 ;
       v=0.1022568715358061e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.7057738183256172e-1;
       b=0.5517505421423520 ;
       v=0.1108960267713108e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2783888477882155 ;
       b=0.6029619156159187 ;
       v=0.1122790653435766e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1979578938917407 ;
       b=0.3589606329589096;
       v=0.1032401847117460e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2087307061103274 ;
       b=0.5348666438135476;
       v=0.1107249382283854e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4055122137872836;
       b=0.5674997546074373 ;
       v=0.1121780048519972e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       N=N-1;
//     RETURN
}

       void LD1202(double* x,double* y,double* z,double* w){
/*     double x[1202];
       double y[1202];
       double z[1202];
       double w[1202];   */
       int N;
       double a,b,v;
/*
CVW
CVW    LEBEDEV 1202-POINT ANGULAR GRID
CVW
chvd
chvd   This subroutine is part of a set of subroutines that generate
chvd   Lebedev grids [1-6] for integration on a sphere. The original
chvd   C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
chvd   translated into fortran by Dr. Christoph van Wuellen.
chvd   This subroutine was translated using a C to fortran77 conversion
chvd   tool written by Dr. Christoph van Wuellen.
chvd
chvd   Users of this code are asked to include reference [1] in their
chvd   publications, and in the user- and programmers-manuals
chvd   describing their codes.
chvd
chvd   This code was distributed through CCL (http://www.ccl.net/).
chvd
chvd   [1] V.I. Lebedev, and D.N. Laikov
chvd       "A quadrature formula for the sphere of the 131st
chvd        algebraic order of accuracy"
chvd       Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.
chvd
chvd   [2] V.I. Lebedev
chvd       "A quadrature formula for the sphere of 59th algebraic
chvd        order of accuracy"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286.
chvd
chvd   [3] V.I. Lebedev, and A.L. Skorokhodov
chvd       "Quadrature formulas of orders 41, 47, and 53 for the sphere"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592.
chvd
chvd   [4] V.I. Lebedev
chvd       "Spherical quadrature formulas exact to orders 25-29"
chvd       Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107.
chvd
chvd   [5] V.I. Lebedev
chvd       "Quadratures on a sphere"
chvd       Computational Mathematics and Mathematical Physics, Vol. 16,
chvd       1976, pp. 10-24.
chvd
chvd   [6] V.I. Lebedev
chvd       "Values of the nodes and weights of ninth to seventeenth
chvd        order Gauss-Markov quadrature formulae invariant under the
chvd        octahedron group with inversion"
chvd       Computational Mathematics and Mathematical Physics, Vol. 15,
chvd       1975, pp. 44-51.
chvd
*/
       N=1;
       v=0.1105189233267572e-3;
       GEN_OH( 1, N, x, y, z, w, a, b, v);
       v=0.9205232738090741e-3;
       GEN_OH( 2, N, x, y, z, w, a, b, v);
       v=0.9133159786443561e-3;
       GEN_OH( 3, N, x, y, z, w, a, b, v);
       a=0.3712636449657089e-1;
       v=0.3690421898017899e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.9140060412262223e-1;
       v=0.5603990928680660e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1531077852469906 ;
       v=0.6865297629282609e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2180928891660612 ;
       v=0.7720338551145630e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2839874532200175;
       v=0.8301545958894795e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3491177600963764;
       v=0.8686692550179628e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4121431461444309 ;
       v=0.8927076285846890e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4718993627149127 ;
       v=0.9060820238568219e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.5273145452842337 ;
       v=0.9119777254940867e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6209475332444019 ;
       v=0.9128720138604181e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6569722711857291 ;
       v=0.9130714935691735e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6841788309070143;
       v=0.9152873784554116e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.7012604330123631;
       v=0.9187436274321654e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1072382215478166 ;
       v=0.5176977312965694e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.2582068959496968;
       v=0.7331143682101417e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.4172752955306717;
       v=0.8463232836379928e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.5700366911792503;
       v=0.9031122694253992e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.9827986018263947;
       b=0.1771774022615325 ;
       v=0.6485778453163257e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.9624249230326228 ;
       b=0.2475716463426288 ;
       v=0.7435030910982369e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.9402007994128811;
       b=0.3354616289066489 ;
       v=0.7998527891839054e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.9320822040143202 ;
       b=0.3173615246611977;
       v=0.8101731497468018e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.9043674199393299 ;
       b=0.4090268427085357 ;
       v=0.8483389574594331e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.8912407560074747 ;
       b=0.3854291150669224 ;
       v=0.8556299257311812e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.8676435628462708;
       b=0.4932221184851285;
       v=0.8803208679738260e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.8581979986041619;
       b=0.4785320675922435 ;
       v=0.8811048182425720e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.8396753624049856 ;
       b=0.4507422593157064;
       v=0.8850282341265444e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.8165288564022188;
       b=0.5632123020762100 ;
       v=0.9021342299040653e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.8015469370783529 ;
       b=0.5434303569693900;
       v=0.9010091677105086e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.7773563069070351;
       b=0.5123518486419871;
       v=0.9022692938426915e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.7661621213900394;
       b=0.6394279634749102;
       v=0.9158016174693465e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.7553584143533510;
       b=0.6269805509024392;
       v=0.9131578003189435e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.7344305757559503;
       b=0.6031161693096310;
       v=0.9107813579482705e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.7043837184021765;
       b=0.5693702498468441;
       v=0.9105760258970126e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       N=N-1;
       //RETURN
}  //       END
       void LD1454(double* x,double* y,double* z,double* w){
/*     double x[1454];
       double y[1454];
       double z[1454];
       double w[1454];  */
       int N;
       double a,b,v;
/*
CVW
CVW    LEBEDEV 1454-POINT ANGULAR GRID
CVW
chvd
chvd   This subroutine is part of a set of subroutines that generate
chvd   Lebedev grids [1-6] for integration on a sphere. The original
chvd   C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
chvd   translated into fortran by Dr. Christoph van Wuellen.
chvd   This subroutine was translated using a C to fortran77 conversion
chvd   tool written by Dr. Christoph van Wuellen.
chvd
chvd   Users of this code are asked to include reference [1] in their
chvd   publications, and in the user- and programmers-manuals
chvd   describing their codes.
chvd
chvd   This code was distributed through CCL (http://www.ccl.net/).
chvd
chvd   [1] V.I. Lebedev, and D.N. Laikov
chvd       "A quadrature formula for the sphere of the 131st
chvd        algebraic order of accuracy"
chvd       Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.
chvd
chvd   [2] V.I. Lebedev
chvd       "A quadrature formula for the sphere of 59th algebraic
chvd        order of accuracy"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286.
chvd
chvd   [3] V.I. Lebedev, and A.L. Skorokhodov
chvd       "Quadrature formulas of orders 41, 47, and 53 for the sphere"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592.
chvd
chvd   [4] V.I. Lebedev
chvd       "Spherical quadrature formulas exact to orders 25-29"
chvd       Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107.
chvd
chvd   [5] V.I. Lebedev
chvd       "Quadratures on a sphere"
chvd       Computational Mathematics and Mathematical Physics, Vol. 16,
chvd       1976, pp. 10-24.
chvd
chvd   [6] V.I. Lebedev
chvd       "Values of the nodes and weights of ninth to seventeenth
chvd        order Gauss-Markov quadrature formulae invariant under the
chvd        octahedron group with inversion"
chvd       Computational Mathematics and Mathematical Physics, Vol. 15,
chvd       1975, pp. 44-51.
chvd
*/
       N=1;
       v=0.7777160743261247e-4;
       GEN_OH( 1, N, x, y, z, w, a, b, v);
       v=0.7557646413004701e-3;
       GEN_OH( 3, N, x, y, z, w, a, b, v);
       a=0.3229290663413854e-1;
       v=0.2841633806090617e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.8036733271462222e-1;
       v=0.4374419127053555e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1354289960531653;
       v=0.5417174740872172e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1938963861114426;
       v=0.6148000891358593e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2537343715011275 ;
       v=0.6664394485800705e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3135251434752570 ;
       v=0.7025039356923220e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3721558339375338 ;
       v=0.7268511789249627e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4286809575195696;
       v=0.7422637534208629e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4822510128282994;
       v=0.7509545035841214e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.5320679333566263;
       v=0.7548535057718401e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6172998195394274;
       v=0.7554088969774001e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6510679849127481;
       v=0.7553147174442808e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6777315251687360;
       v=0.7564767653292297e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6963109410648741;
       v=0.7587991808518730e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.7058935009831749;
       v=0.7608261832033027e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.9955546194091857;
       v=0.4021680447874916e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.9734115901794209;
       v=0.5804871793945964e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.9275693732388626;
       v=0.6792151955945159e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.8568022422795103;
       v=0.7336741211286294e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.7623495553719372 ;
       v=0.7581866300989608e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.5707522908892223;
       b=0.4387028039889501 ;
       v=0.7538257859800743e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5196463388403083;
       b=0.3858908414762617;
       v=0.7483517247053123e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4646337531215351;
       b=0.3301937372343854;
       v=0.7371763661112059e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4063901697557691;
       b=0.2725423573563777;
       v=0.7183448895756934e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3456329466643087;
       b=0.2139510237495250;
       v=0.6895815529822191e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2831395121050332;
       b=0.1555922309786647;
       v=0.6480105801792886e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2197682022925330;
       b=0.9892878979686097e-1;
       v=0.5897558896594636e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1564696098650355;
       b=0.4598642910675510e-1;
       v=0.5095708849247346e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6027356673721295;
       b=0.3376625140173426;
       v=0.7536906428909755e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5496032320255096;
       b=0.2822301309727988;
       v=0.7472505965575118e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4921707755234567;
       b=0.2248632342592540;
       v=0.7343017132279698e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4309422998598483;
       b=0.1666224723456479;
       v=0.7130871582177445e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3664108182313672;
       b=0.1086964901822169;
       v=0.6817022032112776e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2990189057758436 ;
       b=0.5251989784120085e-1;
       v=0.6380941145604121e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6268724013144998;
       b=0.2297523657550023;
       v=0.7550381377920310e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5707324144834607;
       b=0.1723080607093800;
       v=0.7478646640144802e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5096360901960365;
       b=0.1140238465390513;
       v=0.7335918720601220e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4438729938312456 ;
       b=0.5611522095882537e-1;
       v=0.7110120527658118e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6419978471082389;
       b=0.1164174423140873;
       v=0.7571363978689501e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5817218061802611;
       b=0.5797589531445219e-1;
       v=0.7489908329079234e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       N=N-1;
       //RETURN
}  //       END
       void LD1730(double* x,double* y,double* z,double* w){
/*     double x[1730];
       double y[1730];
       double z[1730];
       double w[1730];      */
       int N;
       double a,b,v;
/*
CVW
CVW    LEBEDEV 1730-POINT ANGULAR GRID
CVW
chvd
chvd   This subroutine is part of a set of subroutines that generate
chvd   Lebedev grids [1-6] for integration on a sphere. The original
chvd   C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
chvd   translated into fortran by Dr. Christoph van Wuellen.
chvd   This subroutine was translated using a C to fortran77 conversion
chvd   tool written by Dr. Christoph van Wuellen.
chvd
chvd   Users of this code are asked to include reference [1] in their
chvd   publications, and in the user- and programmers-manuals
chvd   describing their codes.
chvd
chvd   This code was distributed through CCL (http://www.ccl.net/).
chvd
chvd   [1] V.I. Lebedev, and D.N. Laikov
chvd       "A quadrature formula for the sphere of the 131st
chvd        algebraic order of accuracy"
chvd       Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.
chvd
chvd   [2] V.I. Lebedev
chvd       "A quadrature formula for the sphere of 59th algebraic
chvd        order of accuracy"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286.
chvd
chvd   [3] V.I. Lebedev, and A.L. Skorokhodov
chvd       "Quadrature formulas of orders 41, 47, and 53 for the sphere"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592.
chvd
chvd   [4] V.I. Lebedev
chvd       "Spherical quadrature formulas exact to orders 25-29"
chvd       Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107.
chvd
chvd   [5] V.I. Lebedev
chvd       "Quadratures on a sphere"
chvd       Computational Mathematics and Mathematical Physics, Vol. 16,
chvd       1976, pp. 10-24.
chvd
chvd   [6] V.I. Lebedev
chvd       "Values of the nodes and weights of ninth to seventeenth
chvd        order Gauss-Markov quadrature formulae invariant under the
chvd        octahedron group with inversion"
chvd       Computational Mathematics and Mathematical Physics, Vol. 15,
chvd       1975, pp. 44-51.
chvd
*/
       N=1;
       v=0.6309049437420976e-4;
       GEN_OH( 1, N, x, y, z, w, a, b, v);
       v=0.6398287705571748e-3;
       GEN_OH( 2, N, x, y, z, w, a, b, v);
       v=0.6357185073530720e-3;
       GEN_OH( 3, N, x, y, z, w, a, b, v);
       a=0.2860923126194662e-1;
       v=0.2221207162188168e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.7142556767711522e-1;
       v=0.3475784022286848e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1209199540995559;
       v=0.4350742443589804e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1738673106594379 ;
       v=0.4978569136522127e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2284645438467734;
       v=0.5435036221998053e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2834807671701512;
       v=0.5765913388219542e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3379680145467339;
       v=0.6001200359226003e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3911355454819537;
       v=0.6162178172717512e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4422860353001403;
       v=0.6265218152438485e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4907781568726057;
       v=0.6323987160974212e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.5360006153211468;
       v=0.6350767851540569e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6142105973596603;
       v=0.6354362775297107e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6459300387977504;
       v=0.6352302462706235e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6718056125089225;
       v=0.6358117881417972e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6910888533186254;
       v=0.6373101590310117e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.7030467416823252;
       v=0.6390428961368665e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.8354951166354646e-1;
       v=0.3186913449946576e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.2050143009099486;
       v=0.4678028558591711e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.3370208290706637;
       v=0.5538829697598626e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.4689051484233963;
       v=0.6044475907190476e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.5939400424557334;
       v=0.6313575103509012e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.1394983311832261;
       b=0.4097581162050343e-1;
       v=0.4078626431855630e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1967999180485014;
       b=0.8851987391293348e-1;
       v=0.4759933057812725e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2546183732548967;
       b=0.1397680182969819;
       v=0.5268151186413440e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3121281074713875;
       b=0.1929452542226526;
       v=0.5643048560507316e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3685981078502492;
       b=0.2467898337061562;
       v=0.5914501076613073e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4233760321547856;
       b=0.3003104124785409;
       v=0.6104561257874195e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4758671236059246;
       b=0.3526684328175033;
       v=0.6230252860707806e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5255178579796463;
       b=0.4031134861145713;
       v=0.6305618761760796e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5718025633734589;
       b=0.4509426448342351;
       v=0.6343092767597889e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2686927772723415;
       b=0.4711322502423248e-1;
       v=0.5176268945737826e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3306006819904809;
       b=0.9784487303942695e-1;
       v=0.5564840313313692e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3904906850594983;
       b=0.1505395810025273;
       v=0.5856426671038980e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4479957951904390;
       b=0.2039728156296050;
       v=0.6066386925777091e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5027076848919780;
       b=0.2571529941121107;
       v=0.6208824962234458e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5542087392260217;
       b=0.3092191375815670;
       v=0.6296314297822907e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6020850887375187;
       b=0.3593807506130276;
       v=0.6340423756791859e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4019851409179594;
       b=0.5063389934378671e-1;
       v=0.5829627677107342e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4635614567449800;
       b=0.1032422269160612;
       v=0.6048693376081110e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5215860931591575;
       b=0.1566322094006254;
       v=0.6202362317732461e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5758202499099271;
       b=0.2098082827491099;
       v=0.6299005328403779e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6259893683876795;
       b=0.2618824114553391;
       v=0.6347722390609353e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5313795124811891;
       b=0.5263245019338556e-1;
       v=0.6203778981238834e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5893317955931995;
       b=0.1061059730982005;
       v=0.6308414671239979e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6426246321215801;
       b=0.1594171564034221;
       v=0.6362706466959498e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6511904367376113;
       b=0.5354789536565540e-1;
       v=0.6375414170333233e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       N=N-1;
       //RETURN
}  //       END
       void LD2030(double* x,double* y,double* z,double* w){
/*     double x[2030];
       double y[2030];
       double z[2030];
       double w[2030];     */
       int N;
       double a,b,v;
/*
CVW
CVW    LEBEDEV 2030-POINT ANGULAR GRID
CVW
chvd
chvd   This subroutine is part of a set of subroutines that generate
chvd   Lebedev grids [1-6] for integration on a sphere. The original
chvd   C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
chvd   translated into fortran by Dr. Christoph van Wuellen.
chvd   This subroutine was translated using a C to fortran77 conversion
chvd   tool written by Dr. Christoph van Wuellen.
chvd
chvd   Users of this code are asked to include reference [1] in their
chvd   publications, and in the user- and programmers-manuals
chvd   describing their codes.
chvd
chvd   This code was distributed through CCL (http://www.ccl.net/).
chvd
chvd   [1] V.I. Lebedev, and D.N. Laikov
chvd       "A quadrature formula for the sphere of the 131st
chvd        algebraic order of accuracy"
chvd       Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.
chvd
chvd   [2] V.I. Lebedev
chvd       "A quadrature formula for the sphere of 59th algebraic
chvd        order of accuracy"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286.
chvd
chvd   [3] V.I. Lebedev, and A.L. Skorokhodov
chvd       "Quadrature formulas of orders 41, 47, and 53 for the sphere"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592.
chvd
chvd   [4] V.I. Lebedev
chvd       "Spherical quadrature formulas exact to orders 25-29"
chvd       Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107.
chvd
chvd   [5] V.I. Lebedev
chvd       "Quadratures on a sphere"
chvd       Computational Mathematics and Mathematical Physics, Vol. 16,
chvd       1976, pp. 10-24.
chvd
chvd   [6] V.I. Lebedev
chvd       "Values of the nodes and weights of ninth to seventeenth
chvd        order Gauss-Markov quadrature formulae invariant under the
chvd        octahedron group with inversion"
chvd       Computational Mathematics and Mathematical Physics, Vol. 15,
chvd       1975, pp. 44-51.
chvd
*/
       N=1;
       v=0.4656031899197431e-4;
       GEN_OH( 1, N, x, y, z, w, a, b, v);
       v=0.5421549195295507e-3;
       GEN_OH( 3, N, x, y, z, w, a, b, v);
       a=0.2540835336814348e-1;
       v=0.1778522133346553e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6399322800504915e-1;
       v=0.2811325405682796e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1088269469804125;
       v=0.3548896312631459e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1570670798818287;
       v=0.4090310897173364e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2071163932282514;
       v=0.4493286134169965e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2578914044450844;
       v=0.4793728447962723e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3085687558169623;
       v=0.5015415319164265e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3584719706267024;
       v=0.5175127372677937e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4070135594428709;
       v=0.5285522262081019e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4536618626222638;
       v=0.5356832703713962e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4979195686463577;
       v=0.5397914736175170e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.5393075111126999;
       v=0.5416899441599930e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6115617676843916;
       v=0.5419308476889938e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6414308435160159;
       v=0.5416936902030596e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6664099412721607;
       v=0.5419544338703164e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6859161771214913;
       v=0.5428983656630975e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6993625593503890;
       v=0.5442286500098193e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.7062393387719380;
       v=0.5452250345057301e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.7479028168349763e-1;
       v=0.2568002497728530e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.1848951153969366;
       v=0.3827211700292145e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.3059529066581305;
       v=0.4579491561917824e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.4285556101021362;
       v=0.5042003969083574e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.5468758653496526;
       v=0.5312708889976025e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.6565821978343439;
       v=0.5438401790747117e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.1253901572367117;
       b=0.3681917226439641e-1;
       v=0.3316041873197344e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1775721510383941;
       b=0.7982487607213301e-1;
       v=0.3899113567153771e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2305693358216114;
       b=0.1264640966592335;
       v=0.4343343327201309e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2836502845992063;
       b=0.1751585683418957;
       v=0.4679415262318919e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3361794746232590;
       b=0.2247995907632670;
       v=0.4930847981631031e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3875979172264824;
       b=0.2745299257422246;
       v=0.5115031867540091e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4374019316999074;
       b=0.3236373482441118;
       v=0.5245217148457367e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4851275843340022;
       b=0.3714967859436741;
       v=0.5332041499895321e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5303391803806868;
       b=0.4175353646321745;
       v=0.5384583126021542e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5726197380596287;
       b=0.4612084406355461;
       v=0.5411067210798852e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2431520732564863;
       b=0.4258040133043952e-1;
       v=0.4259797391468714e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3002096800895869;
       b=0.8869424306722721e-1;
       v=0.4604931368460021e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3558554457457432;
       b=0.1368811706510655;
       v=0.4871814878255202e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4097782537048887;
       b=0.1860739985015033;
       v=0.5072242910074885e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4616337666067458;
       b=0.2354235077395853;
       v=0.5217069845235350e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5110707008417874 ;
       b=0.2842074921347011;
       v=0.5315785966280310e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5577415286163795;
       b=0.3317784414984102;
       v=0.5376833708758905e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6013060431366950;
       b=0.3775299002040700;
       v=0.5408032092069521e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3661596767261781;
       b=0.4599367887164592e-1;
       v=0.4842744917904866e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4237633153506581;
       b=0.9404893773654421e-1;
       v=0.5048926076188130e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4786328454658452;
       b=0.1431377109091971;
       v=0.5202607980478373e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5305702076789774;
       b=0.1924186388843570;
       v=0.5309932388325743e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5793436224231788;
       b=0.2411590944775190 ;
       v=0.5377419770895208e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6247069017094747;
       b=0.2886871491583605;
       v=0.5411696331677717e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4874315552535204;
       b=0.4804978774953206e-1;
       v=0.5197996293282420e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5427337322059053;
       b=0.9716857199366665e-1;
       v=0.5311120836622945e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5943493747246700;
       b=0.1465205839795055;
       v=0.5384309319956951e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6421314033564943;
       b=0.1953579449803574;
       v=0.5421859504051886e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6020628374713980 ;
       b=0.4916375015738108e-1;
       v=0.5390948355046314e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6529222529856881 ;
       b=0.9861621540127005e-1;
       v=0.5433312705027845e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       N=N-1;
       //RETURN
}  //       END
       void LD2354(double* x,double* y,double* z,double* w){
/*     double x[2354];
       double y[2354];
       double z[2354];
       double w[2354];      */
       int N;
       double a,b,v;
/*
CVW
CVW    LEBEDEV 2354-POINT ANGULAR GRID
CVW
chvd
chvd   This subroutine is part of a set of subroutines that generate
chvd   Lebedev grids [1-6] for integration on a sphere. The original
chvd   C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
chvd   translated into fortran by Dr. Christoph van Wuellen.
chvd   This subroutine was translated using a C to fortran77 conversion
chvd   tool written by Dr. Christoph van Wuellen.
chvd
chvd   Users of this code are asked to include reference [1] in their
chvd   publications, and in the user- and programmers-manuals
chvd   describing their codes.
chvd
chvd   This code was distributed through CCL (http://www.ccl.net/).
chvd
chvd   [1] V.I. Lebedev, and D.N. Laikov
chvd       "A quadrature formula for the sphere of the 131st
chvd        algebraic order of accuracy"
chvd       Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.
chvd
chvd   [2] V.I. Lebedev
chvd       "A quadrature formula for the sphere of 59th algebraic
chvd        order of accuracy"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286.
chvd
chvd   [3] V.I. Lebedev, and A.L. Skorokhodov
chvd       "Quadrature formulas of orders 41, 47, and 53 for the sphere"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592.
chvd
chvd   [4] V.I. Lebedev
chvd       "Spherical quadrature formulas exact to orders 25-29"
chvd       Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107.
chvd
chvd   [5] V.I. Lebedev
chvd       "Quadratures on a sphere"
chvd       Computational Mathematics and Mathematical Physics, Vol. 16,
chvd       1976, pp. 10-24.
chvd
chvd   [6] V.I. Lebedev
chvd       "Values of the nodes and weights of ninth to seventeenth
chvd        order Gauss-Markov quadrature formulae invariant under the
chvd        octahedron group with inversion"
chvd       Computational Mathematics and Mathematical Physics, Vol. 15,
chvd       1975, pp. 44-51.
chvd
*/
       N=1;
       v=0.3922616270665292e-4;
       GEN_OH( 1, N, x, y, z, w, a, b, v);
       v=0.4703831750854424e-3;
       GEN_OH( 2, N, x, y, z, w, a, b, v);
       v=0.4678202801282136e-3;
       GEN_OH( 3, N, x, y, z, w, a, b, v);
       a=0.2290024646530589e-1;
       v=0.1437832228979900e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.5779086652271284e-1;
       v=0.2303572493577644e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.9863103576375984e-1;
       v=0.2933110752447454e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1428155792982185;
       v=0.3402905998359838e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1888978116601463 ;
       v=0.3759138466870372e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2359091682970210;
       v=0.4030638447899798e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2831228833706171 ;
       v=0.4236591432242211e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3299495857966693;
       v=0.4390522656946746e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3758840802660796 ;
       v=0.4502523466626247e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4204751831009480 ;
       v=0.4580577727783541e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4633068518751051;
       v=0.4631391616615899e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.5039849474507313;
       v=0.4660928953698676e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.5421265793440747;
       v=0.4674751807936953e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6092660230557310;
       v=0.4676414903932920e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6374654204984869 ;
       v=0.4674086492347870e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6615136472609892;
       v=0.4674928539483207e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6809487285958127 ;
       v=0.4680748979686447e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6952980021665196;
       v=0.4690449806389040e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.7041245497695400;
       v=0.4699877075860818e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6744033088306065e-1;
       v=0.2099942281069176e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.1678684485334166 ;
       v=0.3172269150712804e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.2793559049539613;
       v=0.3832051358546523e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.3935264218057639 ;
       v=0.4252193818146985e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.5052629268232558;
       v=0.4513807963755000e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.6107905315437531;
       v=0.4657797469114178e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.1135081039843524 ;
       b=0.3331954884662588e-1;
       v=0.2733362800522836e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1612866626099378;
       b=0.7247167465436538e-1;
       v=0.3235485368463559e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2100786550168205;
       b=0.1151539110849745 ;
       v=0.3624908726013453e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2592282009459942 ;
       b=0.1599491097143677;
       v=0.3925540070712828e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3081740561320203;
       b=0.2058699956028027;
       v=0.4156129781116235e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3564289781578164;
       b=0.2521624953502911 ;
       v=0.4330644984623263e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4035587288240703;
       b=0.2982090785797674 ;
       v=0.4459677725921312e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4491671196373903;
       b=0.3434762087235733;
       v=0.4551593004456795e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4928854782917489;
       b=0.3874831357203437;
       v=0.4613341462749918e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5343646791958988;
       b=0.4297814821746926;
       v=0.4651019618269806e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5732683216530990 ;
       b=0.4699402260943537;
       v=0.4670249536100625e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2214131583218986 ;
       b=0.3873602040643895e-1;
       v=0.3549555576441708e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2741796504750071 ;
       b=0.8089496256902013e-1;
       v=0.3856108245249010e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3259797439149485 ;
       b=0.1251732177620872;
       v=0.4098622845756882e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3765441148826891;
       b=0.1706260286403185 ;
       v=0.4286328604268950e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4255773574530558 ;
       b=0.2165115147300408;
       v=0.4427802198993945e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4727795117058430;
       b=0.2622089812225259;
       v=0.4530473511488561e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5178546895819012;
       b=0.3071721431296201;
       v=0.4600805475703138e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5605141192097460;
       b=0.3508998998801138;
       v=0.4644599059958017e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6004763319352512;
       b=0.3929160876166931;
       v=0.4667274455712508e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3352842634946949;
       b=0.4202563457288019e-1;
       v=0.4069360518020356e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3891971629814670;
       b=0.8614309758870850e-1;
       v=0.4260442819919195e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4409875565542281;
       b=0.1314500879380001;
       v=0.4408678508029063e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4904893058592484;
       b=0.1772189657383859 ;
       v=0.4518748115548597e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5375056138769549;
       b=0.2228277110050294;
       v=0.4595564875375116e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5818255708669969;
       b=0.2677179935014386 ;
       v=0.4643988774315846e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6232334858144959;
       b=0.3113675035544165;
       v=0.4668827491646946e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4489485354492058;
       b=0.4409162378368174e-1;
       v=0.4400541823741973e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5015136875933150;
       b=0.8939009917748489e-1;
       v=0.4514512890193797e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5511300550512623;
       b=0.1351806029383365;
       v=0.4596198627347549e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5976720409858000;
       b=0.1808370355053196;
       v=0.4648659016801781e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6409956378989354 ;
       b=0.2257852192301602;
       v=0.4675502017157673e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5581222330827514 ;
       b=0.4532173421637160e-1;
       v=0.4598494476455523e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6074705984161695;
       b=0.9117488031840314e-1;
       v=0.4654916955152048e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6532272537379033;
       b=0.1369294213140155;
       v=0.4684709779505137e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6594761494500487;
       b=0.4589901487275583e-1;
       v=0.4691445539106986e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       N=N-1;
       //RETURN
}  //       END
       void LD2702(double* x,double* y,double* z,double* w){
/*     double x[2702];
       double y[2702];
       double z[2702];
       double w[2702];   */
       int N;
       double a,b,v;
/*
CVW
CVW    LEBEDEV 2702-POINT ANGULAR GRID
CVW
chvd
chvd   This subroutine is part of a set of subroutines that generate
chvd   Lebedev grids [1-6] for integration on a sphere. The original
chvd   C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
chvd   translated into fortran by Dr. Christoph van Wuellen.
chvd   This subroutine was translated using a C to fortran77 conversion
chvd   tool written by Dr. Christoph van Wuellen.
chvd
chvd   Users of this code are asked to include reference [1] in their
chvd   publications, and in the user- and programmers-manuals
chvd   describing their codes.
chvd
chvd   This code was distributed through CCL (http://www.ccl.net/).
chvd
chvd   [1] V.I. Lebedev, and D.N. Laikov
chvd       "A quadrature formula for the sphere of the 131st
chvd        algebraic order of accuracy"
chvd       Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.
chvd
chvd   [2] V.I. Lebedev
chvd       "A quadrature formula for the sphere of 59th algebraic
chvd        order of accuracy"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286.
chvd
chvd   [3] V.I. Lebedev, and A.L. Skorokhodov
chvd       "Quadrature formulas of orders 41, 47, and 53 for the sphere"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592.
chvd
chvd   [4] V.I. Lebedev
chvd       "Spherical quadrature formulas exact to orders 25-29"
chvd       Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107.
chvd
chvd   [5] V.I. Lebedev
chvd       "Quadratures on a sphere"
chvd       Computational Mathematics and Mathematical Physics, Vol. 16,
chvd       1976, pp. 10-24.
chvd
chvd   [6] V.I. Lebedev
chvd       "Values of the nodes and weights of ninth to seventeenth
chvd        order Gauss-Markov quadrature formulae invariant under the
chvd        octahedron group with inversion"
chvd       Computational Mathematics and Mathematical Physics, Vol. 15,
chvd       1975, pp. 44-51.
chvd
*/
       N=1;
       v=0.2998675149888161e-4;
       GEN_OH( 1, N, x, y, z, w, a, b, v);
       v=0.4077860529495355e-3;
       GEN_OH( 3, N, x, y, z, w, a, b, v);
       a=0.2065562538818703e-1;
       v=0.1185349192520667e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.5250918173022379e-1;
       v=0.1913408643425751e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.8993480082038376e-1;
       v=0.2452886577209897e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1306023924436019;
       v=0.2862408183288702e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1732060388531418;
       v=0.3178032258257357e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2168727084820249;
       v=0.3422945667633690e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2609528309173586;
       v=0.3612790520235922e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3049252927938952;
       v=0.3758638229818521e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3483484138084404;
       v=0.3868711798859953e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3908321549106406;
       v=0.3949429933189938e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4320210071894814;
       v=0.4006068107541156e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4715824795890053;
       v=0.4043192149672723e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.5091984794078453;
       v=0.4064947495808078e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.5445580145650803;
       v=0.4075245619813152e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6072575796841768;
       v=0.4076423540893566e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6339484505755803;
       v=0.4074280862251555e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6570718257486958;
       v=0.4074163756012244e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6762557330090709;
       v=0.4077647795071246e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6911161696923790;
       v=0.4084517552782530e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.7012841911659961;
       v=0.4092468459224052e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.7064559272410020;
       v=0.4097872687240906e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6123554989894765e-1;
       v=0.1738986811745028e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.1533070348312393;
       v=0.2659616045280191e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.2563902605244206;
       v=0.3240596008171533e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.3629346991663361;
       v=0.3621195964432943e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.4683949968987538;
       v=0.3868838330760539e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.5694479240657952;
       v=0.4018911532693111e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.6634465430993955;
       v=0.4089929432983252e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.1033958573552305;
       b=0.3034544009063584e-1;
       v=0.2279907527706409e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1473521412414395;
       b=0.6618803044247135e-1;
       v=0.2715205490578897e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1924552158705967;
       b=0.1054431128987715;
       v=0.3057917896703976e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2381094362890328;
       b=0.1468263551238858;
       v=0.3326913052452555e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2838121707936760;
       b=0.1894486108187886;
       v=0.3537334711890037e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3291323133373415;
       b=0.2326374238761579;
       v=0.3700567500783129e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3736896978741460;
       b=0.2758485808485768;
       v=0.3825245372589122e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4171406040760013;
       b=0.3186179331996921;
       v=0.3918125171518296e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4591677985256915;
       b=0.3605329796303794;
       v=0.3984720419937579e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4994733831718418;
       b=0.4012147253586509;
       v=0.4029746003338211e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5377731830445096;
       b=0.4403050025570692;
       v=0.4057428632156627e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5737917830001331;
       b=0.4774565904277483;
       v=0.4071719274114857e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2027323586271389;
       b=0.3544122504976147e-1;
       v=0.2990236950664119e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2516942375187273;
       b=0.7418304388646328e-1;
       v=0.3262951734212878e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3000227995257181;
       b=0.1150502745727186;
       v=0.3482634608242413e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3474806691046342;
       b=0.1571963371209364;
       v=0.3656596681700892e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3938103180359209;
       b=0.1999631877247100;
       v=0.3791740467794218e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4387519590455703;
       b=0.2428073457846535;
       v=0.3894034450156905e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4820503960077787;
       b=0.2852575132906155;
       v=0.3968600245508371e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5234573778475101;
       b=0.3268884208674639;
       v=0.4019931351420050e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5627318647235282;
       b=0.3673033321675939;
       v=0.4052108801278599e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5996390607156954;
       b=0.4061211551830290;
       v=0.4068978613940934e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3084780753791947;
       b=0.3860125523100059e-1;
       v=0.3454275351319704e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3589988275920223;
       b=0.7928938987104867e-1;
       v=0.3629963537007920e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4078628415881973;
       b=0.1212614643030087;
       v=0.3770187233889873e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4549287258889735;
       b=0.1638770827382693;
       v=0.3878608613694378e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5000278512957279;
       b=0.2065965798260176;
       v=0.3959065270221274e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5429785044928199;
       b=0.2489436378852235;
       v=0.4015286975463570e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5835939850491711;
       b=0.2904811368946891;
       v=0.4050866785614717e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6216870353444856;
       b=0.3307941957666609;
       v=0.4069320185051913e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4151104662709091;
       b=0.4064829146052554e-1;
       v=0.3760120964062763e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4649804275009218;
       b=0.8258424547294755e-1;
       v=0.3870969564418064e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5124695757009662;
       b=0.1251841962027289;
       v=0.3955287790534055e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5574711100606224;
       b=0.1679107505976331;
       v=0.4015361911302668e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5998597333287227;
       b=0.2102805057358715;
       v=0.4053836986719548e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6395007148516600;
       b=0.2518418087774107;
       v=0.4073578673299117e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5188456224746252;
       b=0.4194321676077518e-1;
       v=0.3954628379231406e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5664190707942778;
       b=0.8457661551921499e-1;
       v=0.4017645508847530e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6110464353283153;
       b=0.1273652932519396 ;
       v=0.4059030348651293e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6526430302051563;
       b=0.1698173239076354;
       v=0.4080565809484880e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6167551880377548;
       b=0.4266398851548864e-1;
       v=0.4063018753664651e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6607195418355383;
       b=0.8551925814238349e-1;
       v=0.4087191292799671e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       N=N-1;
       //RETURN
}  //       END
       void LD3074(double* x,double* y,double* z,double* w){
/*     double x[3074];
       double y[3074];
       double z[3074];
       double w[3074];     */
       int N;
       double a,b,v;
/*
CVW
CVW    LEBEDEV 3074-POINT ANGULAR GRID
CVW
chvd
chvd   This subroutine is part of a set of subroutines that generate
chvd   Lebedev grids [1-6] for integration on a sphere. The original
chvd   C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
chvd   translated into fortran by Dr. Christoph van Wuellen.
chvd   This subroutine was translated using a C to fortran77 conversion
chvd   tool written by Dr. Christoph van Wuellen.
chvd
chvd   Users of this code are asked to include reference [1] in their
chvd   publications, and in the user- and programmers-manuals
chvd   describing their codes.
chvd
chvd   This code was distributed through CCL (http://www.ccl.net/).
chvd
chvd   [1] V.I. Lebedev, and D.N. Laikov
chvd       "A quadrature formula for the sphere of the 131st
chvd        algebraic order of accuracy"
chvd       Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.
chvd
chvd   [2] V.I. Lebedev
chvd       "A quadrature formula for the sphere of 59th algebraic
chvd        order of accuracy"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286.
chvd
chvd   [3] V.I. Lebedev, and A.L. Skorokhodov
chvd       "Quadrature formulas of orders 41, 47, and 53 for the sphere"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592.
chvd
chvd   [4] V.I. Lebedev
chvd       "Spherical quadrature formulas exact to orders 25-29"
chvd       Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107.
chvd
chvd   [5] V.I. Lebedev
chvd       "Quadratures on a sphere"
chvd       Computational Mathematics and Mathematical Physics, Vol. 16,
chvd       1976, pp. 10-24.
chvd
chvd   [6] V.I. Lebedev
chvd       "Values of the nodes and weights of ninth to seventeenth
chvd        order Gauss-Markov quadrature formulae invariant under the
chvd        octahedron group with inversion"
chvd       Computational Mathematics and Mathematical Physics, Vol. 15,
chvd       1975, pp. 44-51.
chvd
*/
       N=1;
       v=0.2599095953754734e-4;
       GEN_OH( 1, N, x, y, z, w, a, b, v);
       v=0.3603134089687541e-3;
       GEN_OH( 2, N, x, y, z, w, a, b, v);
       v=0.3586067974412447e-3;
       GEN_OH( 3, N, x, y, z, w, a, b, v);
       a=0.1886108518723392e-1;
       v=0.9831528474385880e-4;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4800217244625303e-1;
       v=0.1605023107954450e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.8244922058397242e-1;
       v=0.2072200131464099e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1200408362484023;
       v=0.2431297618814187e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1595773530809965;
       v=0.2711819064496707e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2002635973434064;
       v=0.2932762038321116e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2415127590139982;
       v=0.3107032514197368e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2828584158458477;
       v=0.3243808058921213e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3239091015338138;
       v=0.3349899091374030e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3643225097962194;
       v=0.3430580688505218e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4037897083691802;
       v=0.3490124109290343e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4420247515194127;
       v=0.3532148948561955e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4787572538464938;
       v=0.3559862669062833e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.5137265251275234;
       v=0.3576224317551411e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.5466764056654611;
       v=0.3584050533086076e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6054859420813535;
       v=0.3584903581373224e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6308106701764562;
       v=0.3582991879040586e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6530369230179584;
       v=0.3582371187963125e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6718609524611158;
       v=0.3584353631122350e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6869676499894013;
       v=0.3589120166517785e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6980467077240748;
       v=0.3595445704531601e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.7048241721250522;
       v=0.3600943557111074e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.5591105222058232e-1;
       v=0.1456447096742039e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.1407384078513916;
       v=0.2252370188283782e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.2364035438976309;
       v=0.2766135443474897e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.3360602737818170;
       v=0.3110729491500851e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.4356292630054665;
       v=0.3342506712303391e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.5321569415256174;
       v=0.3491981834026860e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.6232956305040554;
       v=0.3576003604348932e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.9469870086838469e-1;
       b=0.2778748387309470e-1;
       v=0.1921921305788564e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1353170300568141;
       b=0.6076569878628364e-1;
       v=0.2301458216495632e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1771679481726077;
       b=0.9703072762711040e-1;
       v=0.2604248549522893e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2197066664231751;
       b=0.1354112458524762;
       v=0.2845275425870697e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2624783557374927;
       b=0.1750996479744100;
       v=0.3036870897974840e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3050969521214442;
       b=0.2154896907449802;
       v=0.3188414832298066e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3472252637196021;
       b=0.2560954625740152;
       v=0.3307046414722089e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3885610219026360;
       b=0.2965070050624096;
       v=0.3398330969031360e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4288273776062765;
       b=0.3363641488734497;
       v=0.3466757899705373e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4677662471302948;
       b=0.3753400029836788;
       v=0.3516095923230054e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5051333589553359;
       b=0.4131297522144286;
       v=0.3549645184048486e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5406942145810492;
       b=0.4494423776081795;
       v=0.3570415969441392e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5742204122576457;
       b=0.4839938958841502;
       v=0.3581251798496118e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1865407027225188;
       b=0.3259144851070796e-1;
       v=0.2543491329913348e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2321186453689432;
       b=0.6835679505297343e-1;
       v=0.2786711051330776e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2773159142523882;
       b=0.1062284864451989;
       v=0.2985552361083679e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3219200192237254;
       b=0.1454404409323047;
       v=0.3145867929154039e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3657032593944029;
       b=0.1854018282582510;
       v=0.3273290662067609e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4084376778363622;
       b=0.2256297412014750;
       v=0.3372705511943501e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4499004945751427;
       b=0.2657104425000896;
       v=0.3448274437851510e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4898758141326335;
       b=0.3052755487631557;
       v=0.3503592783048583e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5281547442266309;
       b=0.3439863920645423;
       v=0.3541854792663162e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5645346989813992;
       b=0.3815229456121914;
       v=0.3565995517909428e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5988181252159848;
       b=0.4175752420966734;
       v=0.3578802078302898e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2850425424471603;
       b=0.3562149509862536e-1;
       v=0.2958644592860982e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3324619433027876;
       b=0.7330318886871096e-1;
       v=0.3119548129116835e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3785848333076282;
       b=0.1123226296008472;
       v=0.3250745225005984e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4232891028562115;
       b=0.1521084193337708;
       v=0.3355153415935208e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4664287050829722;
       b=0.1921844459223610;
       v=0.3435847568549328e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5078458493735726;
       b=0.2321360989678303 ;
       v=0.3495786831622488e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5473779816204180;
       b=0.2715886486360520;
       v=0.3537767805534621e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5848617133811376;
       b=0.3101924707571355;
       v=0.3564459815421428e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6201348281584888;
       b=0.3476121052890973;
       v=0.3578464061225468e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3852191185387871;
       b=0.3763224880035108e-1;
       v=0.3239748762836212e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4325025061073423;
       b=0.7659581935637135e-1;
       v=0.3345491784174287e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4778486229734490;
       b=0.1163381306083900;
       v=0.3429126177301782e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5211663693009000;
       b=0.1563890598752899;
       v=0.3492420343097421e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5623469504853703;
       b=0.1963320810149200;
       v=0.3537399050235257e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6012718188659246;
       b=0.2357847407258738;
       v=0.3566209152659172e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6378179206390117;
       b=0.2743846121244060;
       v=0.3581084321919782e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4836936460214534;
       b=0.3895902610739024e-1;
       v=0.3426522117591512e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5293792562683797;
       b=0.7871246819312640e-1;
       v=0.3491848770121379e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5726281253100033;
       b=0.1187963808202981;
       v=0.3539318235231476e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6133658776169068;
       b=0.1587914708061787;
       v=0.3570231438458694e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6515085491865307 ;
       b=0.1983058575227646;
       v=0.3586207335051714e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5778692716064976;
       b=0.3977209689791542e-1;
       v=0.3541196205164025e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6207904288086192;
       b=0.7990157592981152e-1;
       v=0.3574296911573953e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6608688171046802;
       b=0.1199671308754309;
       v=0.3591993279818963e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6656263089489130;
       b=0.4015955957805969e-1;
       v=0.3595855034661997e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       N=N-1;
       //RETURN
}  //       END
       void LD3470(double* x,double* y,double* z,double* w){
/*     double x[3470];
       double y[3470];
       double z[3470];
       double w[3470];     */
       int N;
       double a,b,v;
/*
CVW
CVW    LEBEDEV 3470-POINT ANGULAR GRID
CVW
chvd
chvd   This subroutine is part of a set of subroutines that generate
chvd   Lebedev grids [1-6] for integration on a sphere. The original
chvd   C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
chvd   translated into fortran by Dr. Christoph van Wuellen.
chvd   This subroutine was translated using a C to fortran77 conversion
chvd   tool written by Dr. Christoph van Wuellen.
chvd
chvd   Users of this code are asked to include reference [1] in their
chvd   publications, and in the user- and programmers-manuals
chvd   describing their codes.
chvd
chvd   This code was distributed through CCL (http://www.ccl.net/).
chvd
chvd   [1] V.I. Lebedev, and D.N. Laikov
chvd       "A quadrature formula for the sphere of the 131st
chvd        algebraic order of accuracy"
chvd       Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.
chvd
chvd   [2] V.I. Lebedev
chvd       "A quadrature formula for the sphere of 59th algebraic
chvd        order of accuracy"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286.
chvd
chvd   [3] V.I. Lebedev, and A.L. Skorokhodov
chvd       "Quadrature formulas of orders 41, 47, and 53 for the sphere"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592.
chvd
chvd   [4] V.I. Lebedev
chvd       "Spherical quadrature formulas exact to orders 25-29"
chvd       Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107.
chvd
chvd   [5] V.I. Lebedev
chvd       "Quadratures on a sphere"
chvd       Computational Mathematics and Mathematical Physics, Vol. 16,
chvd       1976, pp. 10-24.
chvd
chvd   [6] V.I. Lebedev
chvd       "Values of the nodes and weights of ninth to seventeenth
chvd        order Gauss-Markov quadrature formulae invariant under the
chvd        octahedron group with inversion"
chvd       Computational Mathematics and Mathematical Physics, Vol. 15,
chvd       1975, pp. 44-51.
chvd
*/
       N=1;
       v=0.2040382730826330e-4;
       GEN_OH( 1, N, x, y, z, w, a, b, v);
       v=0.3178149703889544e-3;
       GEN_OH( 3, N, x, y, z, w, a, b, v);
       a=0.1721420832906233e-1;
       v=0.8288115128076110e-4;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4408875374981770e-1;
       v=0.1360883192522954e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.7594680813878681e-1;
       v=0.1766854454542662e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1108335359204799;;
       v=0.2083153161230153e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1476517054388567;
       v=0.2333279544657158e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1856731870860615;
       v=0.2532809539930247e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2243634099428821;
       v=0.2692472184211158e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2633006881662727;
       v=0.2819949946811885e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3021340904916283;
       v=0.2920953593973030e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3405594048030089;
       v=0.2999889782948352e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3783044434007372;
       v=0.3060292120496902e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4151194767407910;
       v=0.3105109167522192e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4507705766443257;
       v=0.3136902387550312e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4850346056573187;
       v=0.3157984652454632e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.5176950817792470;
       v=0.3170516518425422e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.5485384240820989;
       v=0.3176568425633755e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6039117238943308;
       v=0.3177198411207062e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6279956655573113 ;
       v=0.3175519492394733e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6493636169568952;
       v=0.3174654952634756e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6677644117704504;
       v=0.3175676415467654e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6829368572115624;
       v=0.3178923417835410e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6946195818184121;
       v=0.3183788287531909e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.7025711542057026;
       v=0.3188755151918807e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.7066004767140119;
       v=0.3191916889313849e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.5132537689946062e-1;
       v=0.1231779611744508e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.1297994661331225;
       v=0.1924661373839880e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.2188852049401307;
       v=0.2380881867403424e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.3123174824903457;
       v=0.2693100663037885e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.4064037620738195;
       v=0.2908673382834366e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.4984958396944782;
       v=0.3053914619381535e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.5864975046021365;
       v=0.3143916684147777e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.6686711634580175;
       v=0.3187042244055363e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.8715738780835950e-1;
       b=0.2557175233367578e-1;
       v=0.1635219535869790e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1248383123134007;
       b=0.5604823383376681e-1;
       v=0.1968109917696070e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1638062693383378;
       b=0.8968568601900765e-1;
       v=0.2236754342249974e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2035586203373176;
       b=0.1254086651976279;
       v=0.2453186687017181e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2436798975293774;
       b=0.1624780150162012;
       v=0.2627551791580541e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2838207507773806;
       b=0.2003422342683208;
       v=0.2767654860152220e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3236787502217692;
       b=0.2385628026255263;
       v=0.2879467027765895e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3629849554840691;
       b=0.2767731148783578;
       v=0.2967639918918702e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4014948081992087;
       b=0.3146542308245309;
       v=0.3035900684660351e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4389818379260225;
       b=0.3519196415895088;
       v=0.3087338237298308e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4752331143674377;
       b=0.3883050984023654;
       v=0.3124608838860167e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5100457318374018;
       b=0.4235613423908649;
       v=0.3150084294226743e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5432238388954868;
       b=0.4574484717196220;
       v=0.3165958398598402e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5745758685072442;
       b=0.4897311639255524;
       v=0.3174320440957372e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1723981437592809;
       b=0.3010630597881105e-1;
       v=0.2182188909812599e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2149553257844597;
       b=0.6326031554204694e-1;
       v=0.2399727933921445e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2573256081247422;
       b=0.9848566980258631e-1;
       v=0.2579796133514652e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2993163751238106;
       b=0.1350835952384266;
       v=0.2727114052623535e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3407238005148000;
       b=0.1725184055442181;
       v=0.2846327656281355e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3813454978483264;
       b=0.2103559279730725;
       v=0.2941491102051334e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4209848104423343;
       b=0.2482278774554860;
       v=0.3016049492136107e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4594519699996300;
       b=0.2858099509982883;
       v=0.3072949726175648e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4965640166185930;
       b=0.3228075659915428;
       v=0.3114768142886460e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5321441655571562;
       b=0.3589459907204151;
       v=0.3143823673666223e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5660208438582166;
       b=0.3939630088864310;
       v=0.3162269764661535e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5980264315964364;
       b=0.4276029922949089;
       v=0.3172164663759821e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2644215852350733;
       b=0.3300939429072552e-1;
       v=0.2554575398967435e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3090113743443063;
       b=0.6803887650078501e-1;
       v=0.2701704069135677e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3525871079197808;
       b=0.1044326136206709;
       v=0.2823693413468940e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3950418005354029;
       b=0.1416751597517679;
       v=0.2922898463214289e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4362475663430163;
       b=0.1793408610504821;
       v=0.3001829062162428e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4760661812145854;
       b=0.2170630750175722;
       v=0.3062890864542953e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5143551042512103;
       b=0.2545145157815807;
       v=0.3108328279264746e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5509709026935597;
       b=0.2913940101706601;
       v=0.3140243146201245e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5857711030329428;
       b=0.3274169910910705;
       v=0.3160638030977130e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6186149917404392;
       b=0.3623081329317265;
       v=0.3171462882206275e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3586894569557064;
       b=0.3497354386450040e-1;
       v=0.2812388416031796e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4035266610019441;
       b=0.7129736739757095e-1;
       v=0.2912137500288045e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4467775312332510;
       b=0.1084758620193165;
       v=0.2993241256502206e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4883638346608543;
       b=0.1460915689241772;
       v=0.3057101738983822e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5281908348434601;
       b=0.1837790832369980;
       v=0.3105319326251432e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5661542687149311;
       b=0.2212075390874021;
       v=0.3139565514428167e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6021450102031452 ;
       b=0.2580682841160985 ;
       v=0.3161543006806366e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6360520783610050 ;
       b=0.2940656362094121;
       v=0.3172985960613294e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4521611065087196;
       b=0.3631055365867002e-1;
       v=0.2989400336901431e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4959365651560963;
       b=0.7348318468484350e-1;
       v=0.3054555883947677e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5376815804038283;
       b=0.1111087643812648;
       v=0.3104764960807702e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5773314480243768;
       b=0.1488226085145408;
       v=0.3141015825977616e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6148113245575056;
       b=0.1862892274135151;
       v=0.3164520621159896e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6500407462842380;
       b=0.2231909701714456;
       v=0.3176652305912204e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5425151448707213;
       b=0.3718201306118944e-1;
       v=0.3105097161023939e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5841860556907931;
       b=0.7483616335067346e-1;
       v=0.3143014117890550e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6234632186851500;
       b=0.1125990834266120;
       v=0.3168172866287200e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6602934551848843;
       b=0.1501303813157619;
       v=0.3181401865570968e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6278573968375105;
       b=0.3767559930245720e-1;
       v=0.3170663659156037e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6665611711264577;
       b=0.7548443301360158e-1;
       v=0.3185447944625510e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       N=N-1;
       //RETURN
}  //       END
       void LD3890(double* x,double* y,double* z,double* w){
/*     double x[3890];
       double y[3890];
       double z[3890];
       double w[3890];      */
       int N;
       double a,b,v;
/*
CVW
CVW    LEBEDEV 3890-POINT ANGULAR GRID
CVW
chvd
chvd   This subroutine is part of a set of subroutines that generate
chvd   Lebedev grids [1-6] for integration on a sphere. The original
chvd   C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
chvd   translated into fortran by Dr. Christoph van Wuellen.
chvd   This subroutine was translated using a C to fortran77 conversion
chvd   tool written by Dr. Christoph van Wuellen.
chvd
chvd   Users of this code are asked to include reference [1] in their
chvd   publications, and in the user- and programmers-manuals
chvd   describing their codes.
chvd
chvd   This code was distributed through CCL (http://www.ccl.net/).
chvd
chvd   [1] V.I. Lebedev, and D.N. Laikov
chvd       "A quadrature formula for the sphere of the 131st
chvd        algebraic order of accuracy"
chvd       Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.
chvd
chvd   [2] V.I. Lebedev
chvd       "A quadrature formula for the sphere of 59th algebraic
chvd        order of accuracy"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286.
chvd
chvd   [3] V.I. Lebedev, and A.L. Skorokhodov
chvd       "Quadrature formulas of orders 41, 47, and 53 for the sphere"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592.
chvd
chvd   [4] V.I. Lebedev
chvd       "Spherical quadrature formulas exact to orders 25-29"
chvd       Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107.
chvd
chvd   [5] V.I. Lebedev
chvd       "Quadratures on a sphere"
chvd       Computational Mathematics and Mathematical Physics, Vol. 16,
chvd       1976, pp. 10-24.
chvd
chvd   [6] V.I. Lebedev
chvd       "Values of the nodes and weights of ninth to seventeenth
chvd        order Gauss-Markov quadrature formulae invariant under the
chvd        octahedron group with inversion"
chvd       Computational Mathematics and Mathematical Physics, Vol. 15,
chvd       1975, pp. 44-51.
chvd
*/
       N=1;
       v=0.1807395252196920e-4;
       GEN_OH( 1, N, x, y, z, w, a, b, v);
       v=0.2848008782238827e-3;
       GEN_OH( 2, N, x, y, z, w, a, b, v);
       v=0.2836065837530581e-3;
       GEN_OH( 3, N, x, y, z, w, a, b, v);
       a=0.1587876419858352e-1;
       v=0.7013149266673816e-4;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4069193593751206e-1;
       v=0.1162798021956766e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.7025888115257997e-1;
       v=0.1518728583972105e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1027495450028704;
       v=0.1798796108216934e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1371457730893426;
       v=0.2022593385972785e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1727758532671953;
       v=0.2203093105575464e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2091492038929037;
       v=0.2349294234299855e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2458813281751915;
       v=0.2467682058747003e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2826545859450066;
       v=0.2563092683572224e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3191957291799622;
       v=0.2639253896763318e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3552621469299578;
       v=0.2699137479265108e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3906329503406230;
       v=0.2745196420166739e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4251028614093031;
       v=0.2779529197397593e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4584777520111870;
       v=0.2803996086684265e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4905711358710193;
       v=0.2820302356715842e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.5212011669847385;
       v=0.2830056747491068e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.5501878488737995;
       v=0.2834808950776839e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6025037877479342;
       v=0.2835282339078929e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6254572689549016 ;
       v=0.2833819267065800e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6460107179528248;
       v=0.2832858336906784e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6639541138154251;
       v=0.2833268235451244e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6790688515667495;
       v=0.2835432677029253e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6911338580371512;
       v=0.2839091722743049e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6999385956126490;
       v=0.2843308178875841e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.7053037748656896;
       v=0.2846703550533846e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4732224387180115e-1;
       v=0.1051193406971900e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.1202100529326803;
       v=0.1657871838796974e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.2034304820664855;
       v=0.2064648113714232e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.2912285643573002;
       v=0.2347942745819741e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.3802361792726768;
       v=0.2547775326597726e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.4680598511056146;
       v=0.2686876684847025e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.5528151052155599;
       v=0.2778665755515867e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.6329386307803041;
       v=0.2830996616782929e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.8056516651369069e-1;
       b=0.2363454684003124e-1;
       v=0.1403063340168372e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1156476077139389;
       b=0.5191291632545936e-1;
       v=0.1696504125939477e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1520473382760421;
       b=0.8322715736994519e-1;
       v=0.1935787242745390e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1892986699745931;
       b=0.1165855667993712;
       v=0.2130614510521968e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2270194446777792;
       b=0.1513077167409504;
       v=0.2289381265931048e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2648908185093273;
       b=0.1868882025807859;
       v=0.2418630292816186e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3026389259574136;
       b=0.2229277629776224;
       v=0.2523400495631193e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3400220296151384;
       b=0.2590951840746235;
       v=0.2607623973449605e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3768217953335510;
       b=0.2951047291750847;
       v=0.2674441032689209e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4128372900921884;
       b=0.3307019714169930;
       v=0.2726432360343356e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4478807131815630;
       b=0.3656544101087634;
       v=0.2765787685924545e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4817742034089257;
       b=0.3997448951939695;
       v=0.2794428690642224e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5143472814653344;
       b=0.4327667110812024;
       v=0.2814099002062895e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5454346213905650;
       b=0.4645196123532293;
       v=0.2826429531578994e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5748739313170252;
       b=0.4948063555703345;
       v=0.2832983542550884e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1599598738286342;
       b=0.2792357590048985e-1;
       v=0.1886695565284976e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1998097412500951;
       b=0.5877141038139065e-1;
       v=0.2081867882748234e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2396228952566202;
       b=0.9164573914691377e-1;
       v=0.2245148680600796e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2792228341097746;
       b=0.1259049641962687;
       v=0.2380370491511872e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3184251107546741;
       b=0.1610594823400863;
       v=0.2491398041852455e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3570481164426244;
       b=0.1967151653460898;
       v=0.2581632405881230e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3949164710492144;
       b=0.2325404606175168;
       v=0.2653965506227417e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4318617293970503;
       b=0.2682461141151439;
       v=0.2710857216747087e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4677221009931678;
       b=0.3035720116011973;
       v=0.2754434093903659e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5023417939270955 ;
       b=0.3382781859197439;
       v=0.2786579932519380e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5355701836636128;
       b=0.3721383065625942;
       v=0.2809011080679474e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5672608451328771;
       b=0.4049346360466055;
       v=0.2823336184560987e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5972704202540162;
       b=0.4364538098633802;
       v=0.2831101175806309e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2461687022333596;
       b=0.3070423166833368e-1;
       v=0.2221679970354546e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2881774566286831;
       b=0.6338034669281885e-1;
       v=0.2356185734270703e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3293963604116978;
       b=0.9742862487067941e-1;
       v=0.2469228344805590e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3697303822241377;
       b=0.1323799532282290;
       v=0.2562726348642046e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4090663023135127;
       b=0.1678497018129336;
       v=0.2638756726753028e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4472819355411712;
       b=0.2035095105326114;
       v=0.2699311157390862e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4842513377231437;
       b=0.2390692566672091;
       v=0.2746233268403837e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5198477629962928;
       b=0.2742649818076149;
       v=0.2781225674454771e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5539453011883145;
       b=0.3088503806580094;
       v=0.2805881254045684e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5864196762401251;
       b=0.3425904245906614;
       v=0.2821719877004913e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6171484466668390;
       b=0.3752562294789468;
       v=0.2830222502333124e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3350337830565727;
       b=0.3261589934634747e-1;
       v=0.2457995956744870e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3775773224758284;
       b=0.6658438928081572e-1;
       v=0.2551474407503706e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4188155229848973;
       b=0.1014565797157954;
       v=0.2629065335195311e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4586805892009344;
       b=0.1368573320843822;
       v=0.2691900449925075e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4970895714224235;
       b=0.1724614851951608;
       v=0.2741275485754276e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5339505133960747;
       b=0.2079779381416412;
       v=0.2778530970122595e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5691665792531440;
       b=0.2431385788322288;
       v=0.2805010567646741e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6026387682680377;
       b=0.2776901883049853;
       v=0.2822055834031040e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6342676150163307;
       b=0.3113881356386632;
       v=0.2831016901243473e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4237951119537067;
       b=0.3394877848664351e-1;
       v=0.2624474901131803e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4656918683234929;
       b=0.6880219556291447e-1;
       v=0.2688034163039377e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5058857069185980;
       b=0.1041946859721635;
       v=0.2738932751287636e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5443204666713996;
       b=0.1398039738736393;
       v=0.2777944791242523e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5809298813759742;
       b=0.1753373381196155;
       v=0.2806011661660987e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6156416039447128;
       b=0.2105215793514010;
       v=0.2824181456597460e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6483801351066604;
       b=0.2450953312157051;
       v=0.2833585216577828e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5103616577251688;
       b=0.3485560643800719e-1;
       v=0.2738165236962878e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5506738792580681;
       b=0.7026308631512033e-1;
       v=0.2778365208203180e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5889573040995292;
       b=0.1059035061296403;
       v=0.2807852940418966e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6251641589516930;
       b=0.1414823925236026;
       v=0.2827245949674705e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6592414921570178;
       b=0.1767207908214530;
       v=0.2837342344829828e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5930314017533384;
       b=0.3542189339561672e-1;
       v=0.2809233907610981e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6309812253390175;
       b=0.7109574040369549e-1;
       v=0.2829930809742694e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6666296011353230;
       b=0.1067259792282730;
       v=0.2841097874111479e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6703715271049922;
       b=0.3569455268820809e-1;
       v=0.2843455206008783e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       N=N-1;
       //RETURN
}  //       END
       void LD4334(double* x,double* y,double* z,double* w){
/*     double x[4334];
       double y[4334];
       double z[4334];
       double w[4334];   */
       int N;
       double a,b,v;
/*
CVW
CVW    LEBEDEV 4334-POINT ANGULAR GRID
CVW
chvd
chvd   This subroutine is part of a set of subroutines that generate
chvd   Lebedev grids [1-6] for integration on a sphere. The original
chvd   C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
chvd   translated into fortran by Dr. Christoph van Wuellen.
chvd   This subroutine was translated using a C to fortran77 conversion
chvd   tool written by Dr. Christoph van Wuellen.
chvd
chvd   Users of this code are asked to include reference [1] in their
chvd   publications, and in the user- and programmers-manuals
chvd   describing their codes.
chvd
chvd   This code was distributed through CCL (http://www.ccl.net/).
chvd
chvd   [1] V.I. Lebedev, and D.N. Laikov
chvd       "A quadrature formula for the sphere of the 131st
chvd        algebraic order of accuracy"
chvd       Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.
chvd
chvd   [2] V.I. Lebedev
chvd       "A quadrature formula for the sphere of 59th algebraic
chvd        order of accuracy"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286.
chvd
chvd   [3] V.I. Lebedev, and A.L. Skorokhodov
chvd       "Quadrature formulas of orders 41, 47, and 53 for the sphere"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592.
chvd
chvd   [4] V.I. Lebedev
chvd       "Spherical quadrature formulas exact to orders 25-29"
chvd       Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107.
chvd
chvd   [5] V.I. Lebedev
chvd       "Quadratures on a sphere"
chvd       Computational Mathematics and Mathematical Physics, Vol. 16,
chvd       1976, pp. 10-24.
chvd
chvd   [6] V.I. Lebedev
chvd       "Values of the nodes and weights of ninth to seventeenth
chvd        order Gauss-Markov quadrature formulae invariant under the
chvd        octahedron group with inversion"
chvd       Computational Mathematics and Mathematical Physics, Vol. 15,
chvd       1975, pp. 44-51.
chvd
*/
       N=1;
       v=0.1449063022537883e-4;
       GEN_OH( 1, N, x, y, z, w, a, b, v);
       v=0.2546377329828424e-3;
       GEN_OH( 3, N, x, y, z, w, a, b, v);
       a=0.1462896151831013e-1;
       v=0.6018432961087496e-4;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3769840812493139e-1;
       v=0.1002286583263673e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6524701904096891e-1;
       v=0.1315222931028093e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.9560543416134648e-1;
       v=0.1564213746876724e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1278335898929198;
       v=0.1765118841507736e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1613096104466031;
       v=0.1928737099311080e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1955806225745371;
       v=0.2062658534263270e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2302935218498028;
       v=0.2172395445953787e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2651584344113027;
       v=0.2262076188876047e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2999276825183209;
       v=0.2334885699462397e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3343828669718798;
       v=0.2393355273179203e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3683265013750518;
       v=0.2439559200468863e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4015763206518108;
       v=0.2475251866060002e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4339612026399770;
       v=0.2501965558158773e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4653180651114582;
       v=0.2521081407925925e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4954893331080803;
       v=0.2533881002388081e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.5243207068924930;
       v=0.2541582900848261e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.5516590479041704;
       v=0.2545365737525860e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6012371927804176;
       v=0.2545726993066799e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6231574466449819;
       v=0.2544456197465555e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6429416514181271;
       v=0.2543481596881064e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6604124272943595;
       v=0.2543506451429194e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6753851470408250;
       v=0.2544905675493763e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6876717970626160;
       v=0.2547611407344429e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6970895061319234;
       v=0.2551060375448869e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.7034746912553310;
       v=0.2554291933816039e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.7067017217542295;
       v=0.2556255710686343e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4382223501131123e-1;
       v=0.9041339695118195e-4;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.1117474077400006;
       v=0.1438426330079022e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.1897153252911440;
       v=0.1802523089820518e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.2724023009910331;
       v=0.2060052290565496e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.3567163308709902;
       v=0.2245002248967466e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.4404784483028087;
       v=0.2377059847731150e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.5219833154161411;
       v=0.2468118955882525e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.5998179868977553;
       v=0.2525410872966528e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.6727803154548222;
       v=0.2553101409933397e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.7476563943166086e-1;
       b=0.2193168509461185e-1;
       v=0.1212879733668632e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1075341482001416;
       b=0.4826419281533887e-1;
       v=0.1472872881270931e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1416344885203259;
       b=0.7751191883575742e-1;
       v=0.1686846601010828e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1766325315388586;
       b=0.1087558139247680;
       v=0.1862698414660208e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2121744174481514;
       b=0.1413661374253096;
       v=0.2007430956991861e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2479669443408145;
       b=0.1748768214258880;
       v=0.2126568125394796e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2837600452294113;
       b=0.2089216406612073;
       v=0.2224394603372113e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3193344933193984;
       b=0.2431987685545972;
       v=0.2304264522673135e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3544935442438745;
       b=0.2774497054377770;
       v=0.2368854288424087e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3890571932288154;
       b=0.3114460356156915;
       v=0.2420352089461772e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4228581214259090;
       b=0.3449806851913012;
       v=0.2460597113081295e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4557387211304052;
       b=0.3778618641248256;
       v=0.2491181912257687e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4875487950541643;
       b=0.4099086391698978;
       v=0.2513528194205857e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5181436529962997;
       b=0.4409474925853973;
       v=0.2528943096693220e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5473824095600661;
       b=0.4708094517711291;
       v=0.2538660368488136e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5751263398976174;
       b=0.4993275140354637;
       v=0.2543868648299022e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1489515746840028;
       b=0.2599381993267017e-1;
       v=0.1642595537825183e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1863656444351767;
       b=0.5479286532462190e-1;
       v=0.1818246659849308e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2238602880356348;
       b=0.8556763251425254e-1;
       v=0.1966565649492420e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2612723375728160;
       b=0.1177257802267011;
       v=0.2090677905657991e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2984332990206190;
       b=0.1508168456192700;
       v=0.2193820409510504e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3351786584663333;
       b=0.1844801892177727;
       v=0.2278870827661928e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3713505522209120;
       b=0.2184145236087598;
       v=0.2348283192282090e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4067981098954663;
       b=0.2523590641486229;
       v=0.2404139755581477e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4413769993687534;
       b=0.2860812976901373;
       v=0.2448227407760734e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4749487182516394;
       b=0.3193686757808996;
       v=0.2482110455592573e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5073798105075426;
       b=0.3520226949547602;
       v=0.2507192397774103e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5385410448878654;
       b=0.3838544395667890;
       v=0.2524765968534880e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5683065353670530;
       b=0.4146810037640963;
       v=0.2536052388539425e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5965527620663510;
       b=0.4443224094681121;
       v=0.2542230588033068e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2299227700856157;
       b=0.2865757664057584e-1;
       v=0.1944817013047896e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2695752998553267;
       b=0.5923421684485993e-1;
       v=0.2067862362746635e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3086178716611389;
       b=0.9117817776057715e-1;
       v=0.2172440734649114e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3469649871659077;
       b=0.1240593814082605;
       v=0.2260125991723423e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3845153566319655;
       b=0.1575272058259175;
       v=0.2332655008689523e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4211600033403215;
       b=0.1912845163525413;
       v=0.2391699681532458e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4567867834329882;
       b=0.2250710177858171;
       v=0.2438801528273928e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4912829319232061;
       b=0.2586521303440910;
       v=0.2475370504260665e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5245364793303812;
       b=0.2918112242865407;
       v=0.2502707235640574e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5564369788915756;
       b=0.3243439239067890;
       v=0.2522031701054241e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5868757697775287;
       b=0.3560536787835351 ;
       v=0.2534511269978784e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6157458853519617;
       b=0.3867480821242581;
       v=0.2541284914955151e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3138461110672113;
       b=0.3051374637507278e-1;
       v=0.2161509250688394e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3542495872050569;
       b=0.6237111233730755e-1;
       v=0.2248778513437852e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3935751553120181;
       b=0.9516223952401907e-1;
       v=0.2322388803404617e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4317634668111147;
       b=0.1285467341508517;
       v=0.2383265471001355e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4687413842250821;
       b=0.1622318931656033;
       v=0.2432476675019525e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5044274237060283;
       b=0.1959581153836453;
       v=0.2471122223750674e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5387354077925727;
       b=0.2294888081183837;
       v=0.2500291752486870e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5715768898356105;
       b=0.2626031152713945;
       v=0.2521055942764682e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6028627200136111;
       b=0.2950904075286713;
       v=0.2534472785575503e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6325039812653463;
       b=0.3267458451113286;
       v=0.2541599713080121e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3981986708423407;
       b=0.3183291458749821e-1;
       v=0.2317380975862936e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4382791182133300;
       b=0.6459548193880908e-1;
       v=0.2378550733719775e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4769233057218166;
       b=0.9795757037087952e-1;
       v=0.2428884456739118e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5140823911194238;
       b=0.1316307235126655;
       v=0.2469002655757292e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5496977833862983;
       b=0.1653556486358704;
       v=0.2499657574265851e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5837047306512727;
       b=0.1988931724126510;
       v=0.2521676168486082e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6160349566926879;
       b=0.2320174581438950;
       v=0.2535935662645334e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6466185353209440;
       b=0.2645106562168662;
       v=0.2543356743363214e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4810835158795404;
       b=0.3275917807743992e-1;
       v=0.2427353285201535e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5199925041324341;
       b=0.6612546183967181e-1;
       v=0.2468258039744386e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5571717692207494;
       b=0.9981498331474143e-1;
       v=0.2500060956440310e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5925789250836378;
       b=0.1335687001410374;
       v=0.2523238365420979e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6261658523859670;
       b=0.1671444402896463;
       v=0.2538399260252846e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6578811126669331;
       b=0.2003106382156076;
       v=0.2546255927268069e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5609624612998100;
       b=0.3337500940231335e-1;
       v=0.2500583360048449e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5979959659984670;
       b=0.6708750335901803e-1;
       v=0.2524777638260203e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6330523711054002;
       b=0.1008792126424850;
       v=0.2540951193860656e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6660960998103972;
       b=0.1345050343171794;
       v=0.2549524085027472e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6365384364585819;
       b=0.3372799460737052e-1;
       v=0.2542569507009158e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6710994302899275;
       b=0.6755249309678028e-1;
       v=0.2552114127580376e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       N=N-1;
       //RETURN
}  //       END
       void LD4802(double* x,double* y,double* z,double* w){
/*     double x[4802];
       double y[4802];
       double z[4802];
       double w[4802];    */
       int N;
       double a,b,v;
/*
CVW
CVW    LEBEDEV 4802-POINT ANGULAR GRID
CVW
chvd
chvd   This subroutine is part of a set of subroutines that generate
chvd   Lebedev grids [1-6] for integration on a sphere. The original
chvd   C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
chvd   translated into fortran by Dr. Christoph van Wuellen.
chvd   This subroutine was translated using a C to fortran77 conversion
chvd   tool written by Dr. Christoph van Wuellen.
chvd
chvd   Users of this code are asked to include reference [1] in their
chvd   publications, and in the user- and programmers-manuals
chvd   describing their codes.
chvd
chvd   This code was distributed through CCL (http://www.ccl.net/).
chvd
chvd   [1] V.I. Lebedev, and D.N. Laikov
chvd       "A quadrature formula for the sphere of the 131st
chvd        algebraic order of accuracy"
chvd       Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.
chvd
chvd   [2] V.I. Lebedev
chvd       "A quadrature formula for the sphere of 59th algebraic
chvd        order of accuracy"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286.
chvd
chvd   [3] V.I. Lebedev, and A.L. Skorokhodov
chvd       "Quadrature formulas of orders 41, 47, and 53 for the sphere"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592.
chvd
chvd   [4] V.I. Lebedev
chvd       "Spherical quadrature formulas exact to orders 25-29"
chvd       Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107.
chvd
chvd   [5] V.I. Lebedev
chvd       "Quadratures on a sphere"
chvd       Computational Mathematics and Mathematical Physics, Vol. 16,
chvd       1976, pp. 10-24.
chvd
chvd   [6] V.I. Lebedev
chvd       "Values of the nodes and weights of ninth to seventeenth
chvd        order Gauss-Markov quadrature formulae invariant under the
chvd        octahedron group with inversion"
chvd       Computational Mathematics and Mathematical Physics, Vol. 15,
chvd       1975, pp. 44-51.
chvd
*/
       N=1;
       v=0.9687521879420705e-4;
       GEN_OH( 1, N, x, y, z, w, a, b, v);
       v=0.2307897895367918e-3;
       GEN_OH( 2, N, x, y, z, w, a, b, v);
       v=0.2297310852498558e-3;
       GEN_OH( 3, N, x, y, z, w, a, b, v);
       a=0.2335728608887064e-1;
       v=0.7386265944001919e-4;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4352987836550653e-1;
       v=0.8257977698542210e-4;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6439200521088801e-1;
       v=0.9706044762057630e-4;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.9003943631993181e-1;
       v=0.1302393847117003e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1196706615548473;
       v=0.1541957004600968e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1511715412838134;
       v=0.1704459770092199e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1835982828503801;
       v=0.1827374890942906e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2165081259155405;
       v=0.1926360817436107e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2496208720417563;
       v=0.2008010239494833e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2827200673567900;
       v=0.2075635983209175e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3156190823994346;
       v=0.2131306638690909e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3481476793749115;
       v=0.2176562329937335e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3801466086947226;
       v=0.2212682262991018e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4114652119634011;
       v=0.2240799515668565e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4419598786519751;
       v=0.2261959816187525e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4714925949329543;
       v=0.2277156368808855e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4999293972879466;
       v=0.2287351772128336e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.5271387221431248;
       v=0.2293490814084085e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.5529896780837761;
       v=0.2296505312376273e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6000856099481712;
       v=0.2296793832318756e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6210562192785175;
       v=0.2295785443842974e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6401165879934240;
       v=0.2295017931529102e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6571144029244334;
       v=0.2295059638184868e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6718910821718863;
       v=0.2296232343237362e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6842845591099010;
       v=0.2298530178740771e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6941353476269816;
       v=0.2301579790280501e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.7012965242212991;
       v=0.2304690404996513e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.7056471428242644;
       v=0.2307027995907102e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4595557643585895e-1;
       v=0.9312274696671092e-4;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.1049316742435023;
       v=0.1199919385876926e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.1773548879549274;
       v=0.1598039138877690e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.2559071411236127;
       v=0.1822253763574900e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.3358156837985898 ;
       v=0.1988579593655040e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.4155835743763893;
       v=0.2112620102533307e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.4937894296167472;
       v=0.2201594887699007e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.5691569694793316;
       v=0.2261622590895036e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.6405840854894251;
       v=0.2296458453435705e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.7345133894143348e-1;
       b=0.2177844081486067e-1;
       v=0.1006006990267000e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1009859834044931;
       b=0.4590362185775188e-1;
       v=0.1227676689635876e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1324289619748758;
       b=0.7255063095690877e-1;
       v=0.1467864280270117e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1654272109607127;
       b=0.1017825451960684;
       v=0.1644178912101232e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1990767186776461;
       b=0.1325652320980364;
       v=0.1777664890718961e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2330125945523278;
       b=0.1642765374496765;
       v=0.1884825664516690e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2670080611108287;
       b=0.1965360374337889;
       v=0.1973269246453848e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3008753376294316;
       b=0.2290726770542238;
       v=0.2046767775855328e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3344475596167860;
       b=0.2616645495370823;
       v=0.2107600125918040e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3675709724070786;
       b=0.2941150728843141;
       v=0.2157416362266829e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4001000887587812;
       b=0.3262440400919066;
       v=0.2197557816920721e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4318956350436028;
       b=0.3578835350611916;
       v=0.2229192611835437e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4628239056795531;
       b=0.3888751854043678 ;
       v=0.2253385110212775e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4927563229773636;
       b=0.4190678003222840 ;
       v=0.2271137107548774e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5215687136707969;
       b=0.4483151836883852;
       v=0.2283414092917525e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5491402346984905;
       b=0.4764740676087880;
       v=0.2291161673130077e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5753520160126075;
       b=0.5034021310998277;
       v=0.2295313908576598e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1388326356417754;
       b=0.2435436510372806e-1;
       v=0.1438204721359031e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1743686900537244;
       b=0.5118897057342652e-1;
       v=0.1607738025495257e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2099737037950268;
       b=0.8014695048539634e-1;
       v=0.1741483853528379e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2454492590908548;
       b=0.1105117874155699;
       v=0.1851918467519151e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2807219257864278;
       b=0.1417950531570966;
       v=0.1944628638070613e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3156842271975842;
       b=0.1736604945719597;
       v=0.2022495446275152e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3502090945177752 ;
       b=0.2058466324693981;
       v=0.2087462382438514e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3841684849519686;
       b=0.2381284261195919;
       v=0.2141074754818308e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4174372367906016;
       b=0.2703031270422569;
       v=0.2184640913748162e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4498926465011892;
       b=0.3021845683091309 ;
       v=0.2219309165220329e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4814146229807701;
       b=0.3335993355165720;
       v=0.2246123118340624e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5118863625734701;
       b=0.3643833735518232 ;
       v=0.2266062766915125e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5411947455119144;
       b=0.3943789541958179;
       v=0.2280072952230796e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5692301500357246;
       b=0.4234320144403542;
       v=0.2289082025202583e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5958857204139576 ;
       b=0.4513897947419260;
       v=0.2294012695120025e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2156270284785766;
       b=0.2681225755444491e-1;
       v=0.1722434488736947e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2532385054909710;
       b=0.5557495747805614e-1;
       v=0.1830237421455091e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2902564617771537;
       b=0.8569368062950249e-1;
       v=0.1923855349997633e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3266979823143256;
       b=0.1167367450324135;
       v=0.2004067861936271e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3625039627493614;
       b=0.1483861994003304;
       v=0.2071817297354263e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3975838937548699;
       b=0.1803821503011405;
       v=0.2128250834102103e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4318396099009774;
       b=0.2124962965666424;
       v=0.2174513719440102e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4651706555732742;
       b=0.2445221837805913;
       v=0.2211661839150214e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4974752649620969;
       b=0.2762701224322987;
       v=0.2240665257813102e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5286517579627517;
       b=0.3075627775211328 ;
       v=0.2262439516632620e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5586001195731895;
       b=0.3382311089826877;
       v=0.2277874557231869e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5872229902021319;
       b=0.3681108834741399;
       v=0.2287854314454994e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6144258616235123;
       b=0.3970397446872839;
       v=0.2293268499615575e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2951676508064861;
       b=0.2867499538750441e-1;
       v=0.1912628201529828e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3335085485472725;
       b=0.5867879341903510e-1;
       v=0.1992499672238701e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3709561760636381;
       b=0.8961099205022284e-1;
       v=0.2061275533454027e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4074722861667498;
       b=0.1211627927626297;
       v=0.2119318215968572e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4429923648839117;
       b=0.1530748903554898 ;
       v=0.2167416581882652e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4774428052721736;
       b=0.1851176436721877;
       v=0.2206430730516600e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5107446539535904;
       b=0.2170829107658179;
       v=0.2237186938699523e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5428151370542935;
       b=0.2487786689026271;
       v=0.2260480075032884e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5735699292556964;
       b=0.2800239952795016;
       v=0.2277098884558542e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6029253794562866;
       b=0.3106445702878119 ;
       v=0.2287845715109671e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6307998987073145;
       b=0.3404689500841194;
       v=0.2293547268236294e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3752652273692719;
       b=0.2997145098184479e-1;
       v=0.2056073839852528e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4135383879344028;
       b=0.6086725898678011e-1;
       v=0.2114235865831876e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4506113885153907;
       b=0.9238849548435643e-1;
       v=0.2163175629770551e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4864401554606072 ;
       b=0.1242786603851851 ;
       v=0.2203392158111650e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5209708076611709;
       b=0.1563086731483386;
       v=0.2235473176847839e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5541422135830122 ;
       b=0.1882696509388506;
       v=0.2260024141501235e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5858880915113817;
       b=0.2199672979126059 ;
       v=0.2277675929329182e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6161399390603444;
       b=0.2512165482924867;
       v=0.2289102112284834e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6448296482255090;
       b=0.2818368701871888;
       v=0.2295027954625118e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4544796274917948;
       b=0.3088970405060312e-1;
       v=0.2161281589879992e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4919389072146628;
       b=0.6240947677636835e-1;
       v=0.2201980477395102e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5279313026985183;
       b=0.9430706144280313e-1;
       v=0.2234952066593166e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5624169925571135 ;
       b=0.1263547818770374 ;
       v=0.2260540098520838e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5953484627093287;
       b=0.1583430788822594;
       v=0.2279157981899988e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6266730715339185;
       b=0.1900748462555988;
       v=0.2291296918565571e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6563363204278871;
       b=0.2213599519592567;
       v=0.2297533752536649e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5314574716585696 ;
       b=0.3152508811515374e-1;
       v=0.2234927356465995e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5674614932298185;
       b=0.6343865291465561e-1;
       v=0.2261288012985219e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6017706004970264;
       b=0.9551503504223951e-1;
       v=0.2280818160923688e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6343471270264178;
       b=0.1275440099801196 ;
       v=0.2293773295180159e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6651494599127802;
       b=0.1593252037671960;
       v=0.2300528767338634e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6050184986005704;
       b=0.3192538338496105e-1;
       v=0.2281893855065666e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6390163550880400;
       b=0.6402824353962306e-1;
       v=0.2295720444840727e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6711199107088448 ;
       b=0.9609805077002909e-1;
       v=0.2303227649026753e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6741354429572275;
       b=0.3211853196273233e-1;
       v=0.2304831913227114e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       N=N-1;
       //RETURN
}  //       END
       void LD5294(double* x,double* y,double* z,double* w){
/*     double x[5294];
       double y[5294];
       double z[5294];
       double w[5294];      */
       int N;
       double a,b,v;
/*
CVW
CVW    LEBEDEV 5294-POINT ANGULAR GRID
CVW
chvd
chvd   This subroutine is part of a set of subroutines that generate
chvd   Lebedev grids [1-6] for integration on a sphere. The original
chvd   C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
chvd   translated into fortran by Dr. Christoph van Wuellen.
chvd   This subroutine was translated using a C to fortran77 conversion
chvd   tool written by Dr. Christoph van Wuellen.
chvd
chvd   Users of this code are asked to include reference [1] in their
chvd   publications, and in the user- and programmers-manuals
chvd   describing their codes.
chvd
chvd   This code was distributed through CCL (http://www.ccl.net/).
chvd
chvd   [1] V.I. Lebedev, and D.N. Laikov
chvd       "A quadrature formula for the sphere of the 131st
chvd        algebraic order of accuracy"
chvd       Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.
chvd
chvd   [2] V.I. Lebedev
chvd       "A quadrature formula for the sphere of 59th algebraic
chvd        order of accuracy"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286.
chvd
chvd   [3] V.I. Lebedev, and A.L. Skorokhodov
chvd       "Quadrature formulas of orders 41, 47, and 53 for the sphere"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592.
chvd
chvd   [4] V.I. Lebedev
chvd       "Spherical quadrature formulas exact to orders 25-29"
chvd       Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107.
chvd
chvd   [5] V.I. Lebedev
chvd       "Quadratures on a sphere"
chvd       Computational Mathematics and Mathematical Physics, Vol. 16,
chvd       1976, pp. 10-24.
chvd
chvd   [6] V.I. Lebedev
chvd       "Values of the nodes and weights of ninth to seventeenth
chvd        order Gauss-Markov quadrature formulae invariant under the
chvd        octahedron group with inversion"
chvd       Computational Mathematics and Mathematical Physics, Vol. 15,
chvd       1975, pp. 44-51.
chvd
*/
       N=1;
       v=0.9080510764308163e-4;
       GEN_OH( 1, N, x, y, z, w, a, b, v);
       v=0.2084824361987793e-3;
       GEN_OH( 3, N, x, y, z, w, a, b, v);
       a=0.2303261686261450e-1;
       v=0.5011105657239616e-4;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3757208620162394e-1;
       v=0.5942520409683854e-4;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.5821912033821852e-1;
       v=0.9564394826109721e-4;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.8403127529194872e-1;
       v=0.1185530657126338e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1122927798060578 ;
       v=0.1364510114230331e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1420125319192987;
       v=0.1505828825605415e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1726396437341978;
       v=0.1619298749867023e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2038170058115696;
       v=0.1712450504267789e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2352849892876508;
       v=0.1789891098164999e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2668363354312461;
       v=0.1854474955629795e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2982941279900452 ;
       v=0.1908148636673661e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3295002922087076;
       v=0.1952377405281833e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3603094918363593;
       v=0.1988349254282232e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3905857895173920;
       v=0.2017079807160050e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4202005758160837;
       v=0.2039473082709094e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4490310061597227;
       v=0.2056360279288953e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4769586160311491;
       v=0.2068525823066865e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.5038679887049750;
       v=0.2076724877534488e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.5296454286519961;
       v=0.2081694278237885e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.5541776207164850;
       v=0.2084157631219326e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.5990467321921213;
       v=0.2084381531128593e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6191467096294587;
       v=0.2083476277129307e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6375251212901849;
       v=0.2082686194459732e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6540514381131168;
       v=0.2082475686112415e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6685899064391510;
       v=0.2083139860289915e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6810013009681648;
       v=0.2084745561831237e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6911469578730340;
       v=0.2087091313375890e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6988956915141736 ;
       v=0.2089718413297697e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.7041335794868720;
       v=0.2092003303479793e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.7067754398018567;
       v=0.2093336148263241e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3840368707853623e-1;
       v=0.7591708117365267e-4;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.9835485954117399e-1;
       v=0.1083383968169186e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.1665774947612998;
       v=0.1403019395292510e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.2405702335362910 ;
       v=0.1615970179286436e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.3165270770189046;
       v=0.1771144187504911e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.3927386145645443;
       v=0.1887760022988168e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.4678825918374656;
       v=0.1973474670768214e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.5408022024266935;
       v=0.2033787661234659e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.6104967445752438;
       v=0.2072343626517331e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.6760910702685738;
       v=0.2091177834226918e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.6655644120217392e-1;
       b=0.1936508874588424e-1;
       v=0.9316684484675566e-4;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.9446246161270182e-1;
       b=0.4252442002115869e-1;
       v=0.1116193688682976e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1242651925452509;
       b=0.6806529315354374e-1;
       v=0.1298623551559414e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1553438064846751;
       b=0.9560957491205369e-1;
       v=0.1450236832456426e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1871137110542670 ;
       b=0.1245931657452888;
       v=0.1572719958149914e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2192612628836257;
       b=0.1545385828778978 ;
       v=0.1673234785867195e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2515682807206955;
       b=0.1851004249723368;
       v=0.1756860118725188e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2838535866287290;
       b=0.2160182608272384;
       v=0.1826776290439367e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3159578817528521;
       b=0.2470799012277111;
       v=0.1885116347992865e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3477370882791392;
       b=0.2781014208986402;
       v=0.1933457860170574e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3790576960890540;
       b=0.3089172523515731;
       v=0.1973060671902064e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4097938317810200;
       b=0.3393750055472244;
       v=0.2004987099616311e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4398256572859637;
       b=0.3693322470987730 ;
       v=0.2030170909281499e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4690384114718480;
       b=0.3986541005609877;
       v=0.2049461460119080e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4973216048301053;
       b=0.4272112491408562 ;
       v=0.2063653565200186e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5245681526132446;
       b=0.4548781735309936;
       v=0.2073507927381027e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5506733911803888;
       b=0.4815315355023251;
       v=0.2079764593256122e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5755339829522475;
       b=0.5070486445801855;
       v=0.2083150534968778e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1305472386056362;
       b=0.2284970375722366e-1;
       v=0.1262715121590664e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1637327908216477 ;
       b=0.4812254338288384e-1;
       v=0.1414386128545972e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1972734634149637;
       b=0.7531734457511935e-1;
       v=0.1538740401313898e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2308694653110130;
       b=0.1039043639882017;
       v=0.1642434942331432e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2643899218338160 ;
       b=0.1334526587117626 ;
       v=0.1729790609237496e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2977171599622171;
       b=0.1636414868936382;
       v=0.1803505190260828e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3307293903032310 ;
       b=0.1942195406166568 ;
       v=0.1865475350079657e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3633069198219073;
       b=0.2249752879943753;
       v=0.1917182669679069e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3953346955922727;
       b=0.2557218821820032;
       v=0.1959851709034382e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4267018394184914;
       b=0.2862897925213193;
       v=0.1994529548117882e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4573009622571704 ;
       b=0.3165224536636518 ;
       v=0.2022138911146548e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4870279559856109;
       b=0.3462730221636496;
       v=0.2043518024208592e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5157819581450322 ;
       b=0.3754016870282835;
       v=0.2059450313018110e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5434651666465393;
       b=0.4037733784993613;
       v=0.2070685715318472e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5699823887764627;
       b=0.4312557784139123;
       v=0.2077955310694373e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5952403350947741 ;
       b=0.4577175367122110;
       v=0.2081980387824712e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2025152599210369;
       b=0.2520253617719557e-1;
       v=0.1521318610377956e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2381066653274425;
       b=0.5223254506119000e-1;
       v=0.1622772720185755e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2732823383651612;
       b=0.8060669688588620e-1;
       v=0.1710498139420709e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3080137692611118;
       b=0.1099335754081255;
       v=0.1785911149448736e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3422405614587601;
       b=0.1399120955959857;
       v=0.1850125313687736e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3758808773890420;
       b=0.1702977801651705;
       v=0.1904229703933298e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4088458383438932;
       b=0.2008799256601680 ;
       v=0.1949259956121987e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4410450550841152;
       b=0.2314703052180836;
       v=0.1986161545363960e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4723879420561312;
       b=0.2618972111375892;
       v=0.2015790585641370e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5027843561874343;
       b=0.2920013195600270;
       v=0.2038934198707418e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5321453674452458;
       b=0.3216322555190551;
       v=0.2056334060538251e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5603839113834030;
       b=0.3506456615934198;
       v=0.2068705959462289e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5874150706875146;
       b=0.3789007181306267;
       v=0.2076753906106002e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6131559381660038;
       b=0.4062580170572782;
       v=0.2081179391734803e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2778497016394506;
       b=0.2696271276876226e-1;
       v=0.1700345216228943e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3143733562261912;
       b=0.5523469316960465e-1;
       v=0.1774906779990410e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3501485810261827;
       b=0.8445193201626464e-1;
       v=0.1839659377002642e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3851430322303653;
       b=0.1143263119336083;
       v=0.1894987462975169e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4193013979470415;
       b=0.1446177898344475;
       v=0.1941548809452595e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4525585960458567;
       b=0.1751165438438091;
       v=0.1980078427252384e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4848447779622947;
       b=0.2056338306745660 ;
       v=0.2011296284744488e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5160871208276894;
       b=0.2359965487229226;
       v=0.2035888456966776e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5462112185696926;
       b=0.2660430223139146;
       v=0.2054516325352142e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5751425068101757;
       b=0.2956193664498032 ;
       v=0.2067831033092635e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6028073872853596;
       b=0.3245763905312779 ;
       v=0.2076485320284876e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6291338275278409;
       b=0.3527670026206972 ;
       v=0.2081141439525255e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3541797528439391;
       b=0.2823853479435550e-1;
       v=0.1834383015469222e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3908234972074657;
       b=0.5741296374713106e-1;
       v=0.1889540591777677e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4264408450107590;
       b=0.8724646633650199e-1;
       v=0.1936677023597375e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4609949666553286;
       b=0.1175034422915616;
       v=0.1976176495066504e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4944389496536006;
       b=0.1479755652628428;
       v=0.2008536004560983e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5267194884346086;
       b=0.1784740659484352;
       v=0.2034280351712291e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5577787810220990;
       b=0.2088245700431244;
       v=0.2053944466027758e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5875563763536670;
       b=0.2388628136570763;
       v=0.2068077642882360e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6159910016391269;
       b=0.2684308928769185;
       v=0.2077250949661599e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6430219602956268;
       b=0.2973740761960252;
       v=0.2082062440705320e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4300647036213646;
       b=0.2916399920493977e-1;
       v=0.1934374486546626e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4661486308935531;
       b=0.5898803024755659e-1;
       v=0.1974107010484300e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5009658555287261;
       b=0.8924162698525409e-1;
       v=0.2007129290388658e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5344824270447704;
       b=0.1197185199637321;
       v=0.2033736947471293e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5666575997416371;
       b=0.1502300756161382 ;
       v=0.2054287125902493e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5974457471404752;
       b=0.1806004191913564;
       v=0.2069184936818894e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6267984444116886;
       b=0.2106621764786252;
       v=0.2078883689808782e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6546664713575417;
       b=0.2402526932671914;
       v=0.2083886366116359e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5042711004437253;
       b=0.2982529203607657e-1;
       v=0.2006593275470817e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5392127456774380;
       b=0.6008728062339922e-1;
       v=0.2033728426135397e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5726819437668618;
       b=0.9058227674571398e-1;
       v=0.2055008781377608e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6046469254207278 ;
       b=0.1211219235803400;
       v=0.2070651783518502e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6350716157434952;
       b=0.1515286404791580;
       v=0.2080953335094320e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6639177679185454;
       b=0.1816314681255552;
       v=0.2086284998988521e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5757276040972253;
       b=0.3026991752575440e-1;
       v=0.2055549387644668e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6090265823139755;
       b=0.6078402297870770e-1;
       v=0.2071871850267654e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6406735344387661;
       b=0.9135459984176636e-1;
       v=0.2082856600431965e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6706397927793709;
       b=0.1218024155966590;
       v=0.2088705858819358e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6435019674426665;
       b=0.3052608357660639e-1;
       v=0.2083995867536322e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6747218676375681;
       b=0.6112185773983089e-1;
       v=0.2090509712889637e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       N=N-1;
       //RETURN
}  //       END

       void LD5810(double* x,double* y,double* z,double* w){
//       double x[5810];
//       double y[5810];
//       double z[5810];
//       double w[5810];
       int N;
       double a,b,v;
/*CVW
CVW    LEBEDEV 5810-POINT ANGULAR GRID
CVW
chvd
chvd   This subroutine is part of a set of subroutines that generate
chvd   Lebedev grids [1-6] for integration on a sphere. The original
chvd   C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
chvd   translated into fortran by Dr. Christoph van Wuellen.
chvd   This subroutine was translated using a C to fortran77 conversion
chvd   tool written by Dr. Christoph van Wuellen.
chvd
chvd   Users of this code are asked to include reference [1] in their
chvd   publications, and in the user- and programmers-manuals
chvd   describing their codes.
chvd
chvd   This code was distributed through CCL (http://www.ccl.net/).
chvd
chvd   [1] V.I. Lebedev, and D.N. Laikov
chvd       "A quadrature formula for the sphere of the 131st
chvd        algebraic order of accuracy"
chvd       Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.
chvd
chvd   [2] V.I. Lebedev
chvd       "A quadrature formula for the sphere of 59th algebraic
chvd        order of accuracy"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286.
chvd
chvd   [3] V.I. Lebedev, and A.L. Skorokhodov
chvd       "Quadrature formulas of orders 41, 47, and 53 for the sphere"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592.
chvd
chvd   [4] V.I. Lebedev
chvd       "Spherical quadrature formulas exact to orders 25-29"
chvd       Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107.
chvd
chvd   [5] V.I. Lebedev
chvd       "Quadratures on a sphere"
chvd       Computational Mathematics and Mathematical Physics, Vol. 16,
chvd       1976, pp. 10-24.
chvd
chvd   [6] V.I. Lebedev
chvd       "Values of the nodes and weights of ninth to seventeenth
chvd        order Gauss-Markov quadrature formulae invariant under the
chvd        octahedron group with inversion"
chvd       Computational Mathematics and Mathematical Physics, Vol. 15,
chvd       1975, pp. 44-51.
chvd     */
       N=1;
       v=0.9735347946175486e-5;
       GEN_OH( 1, N, x, y, z, w, a, b, v);
       v=0.1907581241803167e-3;
       GEN_OH( 2, N, x, y, z, w, a, b, v);
       v=0.1901059546737578e-3;
       GEN_OH( 3, N, x, y, z, w, a, b, v);
       a=0.1182361662400277e-1;
       v=0.3926424538919212e-4;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3062145009138958e-1;
       v=0.6667905467294382e-4;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.5329794036834243e-1;
       v=0.8868891315019135e-4;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.7848165532862220e-1;
       v=0.1066306000958872e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1054038157636201;
       v=0.1214506743336128e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1335577797766211;
       v=0.1338054681640871e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1625769955502252;
       v=0.1441677023628504e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1921787193412792;
       v=0.1528880200826557e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2221340534690548 ;
       v=0.1602330623773609e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2522504912791132;
       v=0.1664102653445244e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2823610860679697;
       v=0.1715845854011323e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3123173966267560;
       v=0.1758901000133069e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3419847036953789;
       v=0.1794382485256736e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3712386456999758;
       v=0.1823238106757407e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3999627649876828;
       v=0.1846293252959976e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4280466458648093;
       v=0.1864284079323098e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4553844360185711;
       v=0.1877882694626914e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4818736094437834;
       v=0.1887716321852025e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.5074138709260629 ;
       v=0.1894381638175673e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.5319061304570707;
       v=0.1898454899533629e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.5552514978677286;
       v=0.1900497929577815e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.5981009025246183;
       v=0.1900671501924092e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6173990192228116;
       v=0.1899837555533510e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6351365239411131;
       v=0.1899014113156229e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6512010228227200;
       v=0.1898581257705106e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6654758363948120;
       v=0.1898804756095753e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6778410414853370;
       v=0.1899793610426402e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6881760887484110;
       v=0.1901464554844117e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.6963645267094598;
       v=0.1903533246259542e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.7023010617153579;
       v=0.1905556158463228e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.7059004636628753;
       v=0.1907037155663528e-3;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3552470312472575e-1;
       v=0.5992997844249967e-4;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.9151176620841283e-1;
       v=0.9749059382456978e-4;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.1566197930068980;
       v=0.1241680804599158e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.2265467599271907;
       v=0.1437626154299360e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.2988242318581361;
       v=0.1584200054793902e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.3717482419703886;
       v=0.1694436550982744e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.4440094491758889;
       v=0.1776617014018108e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.5145337096756642;
       v=0.1836132434440077e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.5824053672860230;
       v=0.1876494727075983e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.6468283961043370;
       v=0.1899906535336482e-3;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.6095964259104373e-1;
       b=0.1787828275342931e-1;
       v=0.8143252820767350e-4;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.8811962270959388e-1;
       b=0.3953888740792096e-1;
       v=0.9998859890887728e-4;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1165936722428831;
       b=0.6378121797722990e-1;
       v=0.1156199403068359e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1460232857031785;
       b=0.8985890813745037e-1;
       v=0.1287632092635513e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1761197110181755;
       b=0.1172606510576162 ;
       v=0.1398378643365139e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2066471190463718 ;
       b=0.1456102876970995;
       v=0.1491876468417391e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2374076026328152;
       b=0.1746153823011775;
       v=0.1570855679175456e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2682305474337051;
       b=0.2040383070295584 ;
       v=0.1637483948103775e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2989653312142369;
       b=0.2336788634003698 ;
       v=0.1693500566632843e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3294762752772209;
       b=0.2633632752654219;
       v=0.1740322769393633e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3596390887276086;
       b=0.2929369098051601;
       v=0.1779126637278296e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3893383046398812;
       b=0.3222592785275512;
       v=0.1810908108835412e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4184653789358347 ;
       b=0.3512004791195743;
       v=0.1836529132600190e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4469172319076166;
       b=0.3796385677684537;
       v=0.1856752841777379e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4745950813276976;
       b=0.4074575378263879;
       v=0.1872270566606832e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5014034601410262 ;
       b=0.4345456906027828 ;
       v=0.1883722645591307e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5272493404551239;
       b=0.4607942515205134;
       v=0.1891714324525297e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5520413051846366;
       b=0.4860961284181720;
       v=0.1896827480450146e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5756887237503077;
       b=0.5103447395342790;
       v=0.1899628417059528e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1225039430588352;
       b=0.2136455922655793e-1;
       v=0.1123301829001669e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1539113217321372;
       b=0.4520926166137188e-1;
       v=0.1253698826711277e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1856213098637712 ;
       b=0.7086468177864818e-1;
       v=0.1366266117678531e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2174998728035131;
       b=0.9785239488772918e-1;
       v=0.1462736856106918e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2494128336938330 ;
       b=0.1258106396267210;
       v=0.1545076466685412e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2812321562143480;
       b=0.1544529125047001;
       v=0.1615096280814007e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3128372276456111 ;
       b=0.1835433512202753;
       v=0.1674366639741759e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3441145160177973;
       b=0.2128813258619585;
       v=0.1724225002437900e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3749567714853510;
       b=0.2422913734880829;
       v=0.1765810822987288e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4052621732015610;
       b=0.2716163748391453;
       v=0.1800104126010751e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4349335453522385;
       b=0.3007127671240280;
       v=0.1827960437331284e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4638776641524965;
       b=0.3294470677216479 ;
       v=0.1850140300716308e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4920046410462687;
       b=0.3576932543699155;
       v=0.1867333507394938e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5192273554861704;
       b=0.3853307059757764;
       v=0.1880178688638289e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5454609081136522;
       b=0.4122425044452694;
       v=0.1889278925654758e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5706220661424140;
       b=0.4383139587781027;
       v=0.1895213832507346e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5946286755181518;
       b=0.4634312536300553;
       v=0.1898548277397420e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.1905370790924295;
       b=0.2371311537781979e-1;
       v=0.1349105935937341e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2242518717748009;
       b=0.4917878059254806e-1;
       v=0.1444060068369326e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2577190808025936;
       b=0.7595498960495142e-1;
       v=0.1526797390930008e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2908724534927187;
       b=0.1036991083191100;
       v=0.1598208771406474e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3236354020056219;
       b=0.1321348584450234;
       v=0.1659354368615331e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3559267359304543;
       b=0.1610316571314789;
       v=0.1711279910946440e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3876637123676956 ;
       b=0.1901912080395707 ;
       v=0.1754952725601440e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4187636705218842;
       b=0.2194384950137950;
       v=0.1791247850802529e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4491449019883107;
       b=0.2486155334763858;
       v=0.1820954300877716e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4787270932425445;
       b=0.2775768931812335;
       v=0.1844788524548449e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5074315153055574;
       b=0.3061863786591120;
       v=0.1863409481706220e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5351810507738336;
       b=0.3343144718152556;
       v=0.1877433008795068e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5619001025975381;
       b=0.3618362729028427;
       v=0.1887444543705232e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5875144035268046;
       b=0.3886297583620408;
       v=0.1894009829375006e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6119507308734495;
       b=0.4145742277792031;
       v=0.1897683345035198e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2619733870119463;
       b=0.2540047186389353e-1;
       v=0.1517327037467653e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.2968149743237949 ;
       b=0.5208107018543989e-1;
       v=0.1587740557483543e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3310451504860488;
       b=0.7971828470885599e-1;
       v=0.1649093382274097e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3646215567376676;
       b=0.1080465999177927;
       v=0.1701915216193265e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3974916785279360;
       b=0.1368413849366629;
       v=0.1746847753144065e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4295967403772029;
       b=0.1659073184763559;
       v=0.1784555512007570e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4608742854473447;
       b=0.1950703730454614;
       v=0.1815687562112174e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4912598858949903;
       b=0.2241721144376724;
       v=0.1840864370663302e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5206882758945558;
       b=0.2530655255406489;
       v=0.1860676785390006e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5490940914019819;
       b=0.2816118409731066;
       v=0.1875690583743703e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5764123302025542;
       b=0.3096780504593238;
       v=0.1886453236347225e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6025786004213506;
       b=0.3371348366394987;
       v=0.1893501123329645e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6275291964794956;
       b=0.3638547827694396;
       v=0.1897366184519868e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3348189479861771;
       b=0.2664841935537443e-1;
       v=0.1643908815152736e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.3699515545855295;
       b=0.5424000066843495e-1;
       v=0.1696300350907768e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4042003071474669;
       b=0.8251992715430854e-1;
       v=0.1741553103844483e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4375320100182624;
       b=0.1112695182483710;
       v=0.1780015282386092e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4699054490335947;
       b=0.1402964116467816;
       v=0.1812116787077125e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5012739879431952;
       b=0.1694275117584291;
       v=0.1838323158085421e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5315874883754966;
       b=0.1985038235312689;
       v=0.1859113119837737e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5607937109622117;
       b=0.2273765660020893;
       v=0.1874969220221698e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5888393223495521;
       b=0.2559041492849764 ;
       v=0.1886375612681076e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6156705979160163;
       b=0.2839497251976899;
       v=0.1893819575809276e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6412338809078123;
       b=0.3113791060500690;
       v=0.1897794748256767e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4076051259257167;
       b=0.2757792290858463e-1;
       v=0.1738963926584846e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4423788125791520;
       b=0.5584136834984293e-1;
       v=0.1777442359873466e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4760480917328258;
       b=0.8457772087727143e-1;
       v=0.1810010815068719e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5085838725946297;
       b=0.1135975846359248 ;
       v=0.1836920318248129e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5399513637391218;
       b=0.1427286904765053;
       v=0.1858489473214328e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5701118433636380;
       b=0.1718112740057635;
       v=0.1875079342496592e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5990240530606021;
       b=0.2006944855985351;
       v=0.1887080239102310e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6266452685139695;
       b=0.2292335090598907;
       v=0.1894905752176822e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6529320971415942;
       b=0.2572871512353714;
       v=0.1898991061200695e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.4791583834610126;
       b=0.2826094197735932e-1;
       v=0.1809065016458791e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5130373952796940;
       b=0.5699871359683649e-1;
       v=0.1836297121596799e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5456252429628476;
       b=0.8602712528554394e-1;
       v=0.1858426916241869e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5768956329682385;
       b=0.1151748137221281 ;
       v=0.1875654101134641e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6068186944699046;
       b=0.1442811654136362 ;
       v=0.1888240751833503e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6353622248024907;
       b=0.1731930321657680;
       v=0.1896497383866979e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6624927035731797;
       b=0.2017619958756061;
       v=0.1900775530219121e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5484933508028488 ;
       b=0.2874219755907391e-1;
       v=0.1858525041478814e-3 ;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.5810207682142106;
       b=0.5778312123713695e-1 ;
       v=0.1876248690077947e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6120955197181352 ;
       b=0.8695262371439526e-1 ;
       v=0.1889404439064607e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6416944284294319 ;
       b=0.1160893767057166 ;
       v=0.1898168539265290e-3 ;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6697926391731260 ;
       b=0.1450378826743251 ;
       v=0.1902779940661772e-3 ;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6147594390585488;
       b=0.2904957622341456e-1 ;
       v=0.1890125641731815e-3;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6455390026356783 ;
       b=0.5823809152617197e-1;
       v=0.1899434637795751e-3 ;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6747258588365477 ;
       b=0.8740384899884715e-1 ;
       v=0.1904520856831751e-3 ;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       a=0.6772135750395347;
       b=0.2919946135808105e-1;
       v=0.1905534498734563e-3 ;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       N=N-1;
       //RETURN
}

////////////////////////////////////////////////////



       void GEN_OH_test(int code, int &num, double a, double b, double v){
//       void GEN_OH(int code, int num, double* x, double* y, double* z, double* w, double a, double b, double v){
//       implicit logical(a-z)
//       double  x[],y[],z[],w[*];
//       double  a,b,v;
//       int code;
//       int num;
       double  c;
//       extern const int NSize;
//       extern double x[NSize],y[],z[],w[];
       double x[194],y[194],z[194],w[194];
/*
chvd
chvd   This subroutine is part of a set of subroutines that generate
chvd   Lebedev grids [1-6] for integration on a sphere. The original
chvd   C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
chvd   translated into fortran by Dr. Christoph van Wuellen.
chvd   This subroutine was translated from C to fortran77 by hand.
chvd
chvd   Users of this code are asked to include reference [1] in their
chvd   publications, and in the user- and programmers-manuals
chvd   describing their codes.
chvd
chvd   This code was distributed through CCL (http://www.ccl.net/).
chvd
chvd   [1] V.I. Lebedev, and D.N. Laikov
chvd       "A quadrature formula for the sphere of the 131st
chvd        algebraic order of accuracy"
chvd       Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.
chvd
chvd   [2] V.I. Lebedev
chvd       "A quadrature formula for the sphere of 59th algebraic
chvd        order of accuracy"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286.
chvd
chvd   [3] V.I. Lebedev, and A.L. Skorokhodov
chvd       "Quadrature formulas of orders 41, 47, and 53 for the sphere"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592.
chvd
chvd   [4] V.I. Lebedev
chvd       "Spherical quadrature formulas exact to orders 25-29"
chvd       Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107.
chvd
chvd   [5] V.I. Lebedev
chvd       "Quadratures on a sphere"
chvd       Computational Mathematics and Mathematical Physics, Vol. 16,
chvd       1976, pp. 10-24.
chvd
chvd   [6] V.I. Lebedev
chvd       "Values of the nodes and weights of ninth to seventeenth
chvd        order Gauss-Markov quadrature formulae invariant under the
chvd        octahedron group with inversion"
chvd       Computational Mathematics and Mathematical Physics, Vol. 15,
chvd       1975, pp. 44-51.
chvd
cvw
cvw    Given a point on a sphere (specified by a and b), generate all
cvw    the equivalent points under Oh symmetry, making grid points with
cvw    weight v.
cvw    The variable num is increased by the number of different points
cvw    generated.
cvw
cvw    Depending on code, there are 6...48 different but equivalent
cvw    points.
cvw
cvw    code=1:   (0,0,1) etc                                (  6 points)
cvw    code=2:   (0,a,a) etc, a=1/sqrt(2)                   ( 12 points)
cvw    code=3:   (a,a,a) etc, a=1/sqrt(3)                   (  8 points)
cvw    code=4:   (a,a,b) etc, b=sqrt(1-2 a^2)               ( 24 points)
cvw    code=5:   (a,b,0) etc, b=sqrt(1-a^2), a input        ( 24 points)
cvw    code=6:   (a,b,c) etc, c=sqrt(1-a^2-b^2), a/b input  ( 48 points)
cvw
*/
//       goto (1,2,3,4,5,6) code

//       stop

  switch(code)
  {
    case 1:

//    1  continue
       a=1.0;
       x[0+num] =  a;
       y[0+num] =  0.0;
       z[0+num] =  0.0;
       w[0+num] =  v;
       x[1+num] = -a;
       y[1+num] =  0.0;
       z[1+num] =  0.0;
       w[1+num] =  v;
       x[2+num] =  0.0;
       y[2+num] =  a;
       z[2+num] =  0.0;
       w[2+num] =  v;
       x[3+num] =  0.0;
       y[3+num] = -a;
       z[3+num] =  0.0;
       w[3+num] =  v;
       x[4+num] =  0.0;
       y[4+num] =  0.0;
       z[4+num] =  a;
       w[4+num] =  v;
       x[5+num] =  0.0;
       y[5+num] =  0.0;
       z[5+num] = -a;
       w[5+num] =  v;
std::cout <<  " code = " << code<< "  num = " << num<< " z(0) = " << z[0]
<< "  w(0) = " << w[0] << std::endl;

       num=num+6;


       std::cout <<  " GEN_OH x = " << x[0]<< "  y(0) = " << y[0]<< " z(0) = " << z[0]
<< "  w(0) = " << w[0] << std::endl;
//       return
//cvw
      break;

    case 2:

//    2  continue
       a=sqrt(0.5);
       x[0+num] =  0;
       y[0+num] =  a;
       z[0+num] =  a;
       w[0+num] =  v;
       x[1+num] =  0;
       y[1+num] = -a;
       z[1+num] =  a;
       w[1+num] =  v;
       x[2+num] =  0;
       y[2+num] =  a;
       z[2+num] = -a;
       w[2+num] =  v;
       x[3+num] =  0;
       y[3+num] = -a;
       z[3+num] = -a;
       w[3+num] =  v;
       x[4+num] =  a;
       y[4+num] =  0;
       z[4+num] =  a;
       w[4+num] =  v;
       x[5+num] = -a;
       y[5+num] =  0;
       z[5+num] =  a;
       w[5+num] =  v;
       x[6+num] =  a;
       y[6+num] =  0;
       z[6+num] = -a;
       w[6+num] =  v;
       x[7+num] = -a;
       y[7+num] =  0;
       z[7+num] = -a;
       w[7+num] =  v;
       x[8+num] =  a;
       y[8+num] =  a;
       z[8+num] =  0;
       w[8+num] =  v;
       x[9+num] = -a;
       y[9+num] =  a;
       z[9+num] =  0;
       w[9+num] =  v;
       x[10+num] =  a;
       y[10+num] = -a;
       z[10+num] =  0;
       w[10+num] =  v;
       x[11+num] = -a;
       y[11+num] = -a;
       z[11+num] =  0;
       w[11+num] =  v;
       num=num+12;
//       return
//cvw
      break;

    case 3:

//    3  continue
       a = sqrt(1.0/3.0);
       x[0+num] =  a;
       y[0+num] =  a;
       z[0+num] =  a;
       w[0+num] =  v;
       x[1+num] = -a;
       y[1+num] =  a;
       z[1+num] =  a;
       w[1+num] =  v;
       x[2+num] =  a;
       y[2+num] = -a;
       z[2+num] =  a;
       w[2+num] =  v;
       x[3+num] = -a;
       y[3+num] = -a;
       z[3+num] =  a;
       w[3+num] =  v;
       x[4+num] =  a;
       y[4+num] =  a;
       z[4+num] = -a;
       w[4+num] =  v;
       x[5+num] = -a;
       y[5+num] =  a;
       z[5+num] = -a;
       w[5+num] =  v;
       x[6+num] =  a;
       y[6+num] = -a;
       z[6+num] = -a;
       w[6+num] =  v;
       x[7+num] = -a;
       y[7+num] = -a;
       z[7+num] = -a;
       w[7+num] =  v;
       num=num+8;
//       return
//cvw
      break;


    case 4:

//    4  continue
       b = sqrt(1 - 2*a*a);
       x[0+num] =  a;
       y[0+num] =  a;
       z[0+num] =  b;
       w[0+num] =  v;
       x[1+num] = -a;
       y[1+num] =  a;
       z[1+num] =  b;
       w[1+num] =  v;
       x[2+num] =  a;
       y[2+num] = -a;
       z[2+num] =  b;
       w[2+num] =  v;
       x[3+num] = -a;
       y[3+num] = -a;
       z[3+num] =  b;
       w[3+num] =  v;
       x[4+num] =  a;
       y[4+num] =  a;
       z[4+num] = -b;
       w[4+num] =  v;
       x[5+num] = -a;
       y[5+num] =  a;
       z[5+num] = -b;
       w[5+num] =  v;
       x[6+num] =  a;
       y[6+num] = -a;
       z[6+num] = -b;
       w[6+num] =  v;
       x[7+num] = -a;
       y[7+num] = -a;
       z[7+num] = -b;
       w[7+num] =  v;
       x[8+num] =  a;
       y[8+num] =  b;
       z[8+num] =  a;
       w[8+num] =  v;
       x[9+num] = -a;
       y[9+num] =  b;
       z[9+num] =  a;
       w[9+num] =  v;
       x[10+num] =  a;
       y[10+num] = -b;
       z[10+num] =  a;
       w[10+num] =  v;
       x[11+num] = -a;
       y[11+num] = -b;
       z[11+num] =  a;
       w[11+num] =  v;
       x[12+num] =  a;
       y[12+num] =  b;
       z[12+num] = -a;
       w[12+num] =  v;
       x[13+num] = -a;
       y[13+num] =  b;
       z[13+num] = -a;
       w[13+num] =  v;
       x[14+num] =  a;
       y[14+num] = -b;
       z[14+num] = -a;
       w[14+num] =  v;
       x[15+num] = -a;
       y[15+num] = -b;
       z[15+num] = -a;
       w[15+num] =  v;
       x[16+num] =  b;
       y[16+num] =  a;
       z[16+num] =  a;
       w[16+num] =  v;
       x[17+num] = -b;
       y[17+num] =  a;
       z[17+num] =  a;
       w[17+num] =  v;
       x[18+num] =  b;
       y[18+num] = -a;
       z[18+num] =  a;
       w[18+num] =  v;
       x[19+num] = -b;
       y[19+num] = -a;
       z[19+num] =  a;
       w[19+num] =  v;
       x[20+num] =  b;
       y[20+num] =  a;
       z[20+num] = -a;
       w[20+num] =  v;
       x[21+num] = -b;
       y[21+num] =  a;
       z[21+num] = -a;
       w[21+num] =  v;
       x[22+num] =  b;
       y[22+num] = -a;
       z[22+num] = -a;
       w[22+num] =  v;
       x[23+num] = -b;
       y[23+num] = -a;
       z[23+num] = -a;
       w[23+num] =  v;
       num=num+24;
//       return
//cvw
      break;

    case 5:

//    5  continue
       b=sqrt(1-a*a);
       x[0+num] =  a;
       y[0+num] =  b;
       z[0+num] =  0;
       w[0+num] =  v;
       x[1+num] = -a;
       y[1+num] =  b;
       z[1+num] =  0;
       w[1+num] =  v;
       x[2+num] =  a;
       y[2+num] = -b;
       z[2+num] =  0;
       w[2+num] =  v;
       x[3+num] = -a;
       y[3+num] = -b;
       z[3+num] =  0;
       w[3+num] =  v;
       x[4+num] =  b;
       y[4+num] =  a;
       z[4+num] =  0;
       w[4+num] =  v;
       x[5+num] = -b;
       y[5+num] =  a;
       z[5+num] =  0;
       w[5+num] =  v;
       x[6+num] =  b;
       y[6+num] = -a;
       z[6+num] =  0;
       w[6+num] =  v;
       x[7+num] = -b;
       y[7+num] = -a;
       z[7+num] =  0;
       w[7+num] =  v;
       x[8+num] =  a;
       y[8+num] =  0;
       z[8+num] =  b;
       w[8+num] =  v;
       x[9+num] = -a;
       y[9+num] =  0;
       z[9+num] =  b;
       w[9+num] =  v;
       x[10+num] =  a;
       y[10+num] =  0;
       z[10+num] = -b;
       w[10+num] =  v;
       x[11+num] = -a;
       y[11+num] =  0;
       z[11+num] = -b;
       w[11+num] =  v;
       x[12+num] =  b;
       y[12+num] =  0;
       z[12+num] =  a;
       w[12+num] =  v;
       x[13+num] = -b;
       y[13+num] =  0;
       z[13+num] =  a;
       w[13+num] =  v;
       x[14+num] =  b;
       y[14+num] =  0;
       z[14+num] = -a;
       w[14+num] =  v;
       x[15+num] = -b;
       y[15+num] =  0;
       z[15+num] = -a;
       w[15+num] =  v;
       x[16+num] =  0;
       y[16+num] =  a;
       z[16+num] =  b;
       w[16+num] =  v;
       x[17+num] =  0;
       y[17+num] = -a;
       z[17+num] =  b;
       w[17+num] =  v;
       x[18+num] =  0;
       y[18+num] =  a;
       z[18+num] = -b;
       w[18+num] =  v;
       x[19+num] =  0;
       y[19+num] = -a;
       z[19+num] = -b;
       w[19+num] =  v;
       x[20+num] =  0;
       y[20+num] =  b;
       z[20+num] =  a;
       w[20+num] =  v;
       x[21+num] =  0;
       y[21+num] = -b;
       z[21+num] =  a;
       w[21+num] =  v;
       x[22+num] =  0;
       y[22+num] =  b;
       z[22+num] = -a;
       w[22+num] =  v;
       x[23+num] =  0;
       y[23+num] = -b;
       z[23+num] = -a;
       w[23+num] =  v;
       num=num+24;
//       return
//cvw
     break;

    case 6:
//    6  continue
       c=sqrt(1 - a*a - b*b);
       x[0+num] =  a;
       y[0+num] =  b;
       z[0+num] =  c;
       w[0+num] =  v;
       x[1+num] = -a;
       y[1+num] =  b;
       z[1+num] =  c;
       w[1+num] =  v;
       x[2+num] =  a;
       y[2+num] = -b;
       z[2+num] =  c;
       w[2+num] =  v;
       x[3+num] = -a;
       y[3+num] = -b;
       z[3+num] =  c;
       w[3+num] =  v;
       x[4+num] =  a;
       y[4+num] =  b;
       z[4+num] = -c;
       w[4+num] =  v;
       x[5+num] = -a;
       y[5+num] =  b;
       z[5+num] = -c;
       w[5+num] =  v;
       x[6+num] =  a;
       y[6+num] = -b;
       z[6+num] = -c;
       w[6+num] =  v;
       x[7+num] = -a;
       y[7+num] = -b;
       z[7+num] = -c;
       w[7+num] =  v;
       x[8+num] =  a;
       y[8+num] =  c;
       z[8+num] =  b;
       w[8+num] =  v;
       x[9+num] = -a;
       y[9+num] =  c;
       z[9+num] =  b;
       w[9+num] =  v;
       x[10+num] =  a;
       y[10+num] = -c;
       z[10+num] =  b;
       w[10+num] =  v;
       x[11+num] = -a;
       y[11+num] = -c;
       z[11+num] =  b;
       w[11+num] =  v;
       x[12+num] =  a;
       y[12+num] =  c;
       z[12+num] = -b;
       w[12+num] =  v;
       x[13+num] = -a;
       y[13+num] =  c;
       z[13+num] = -b;
       w[13+num] =  v;
       x[14+num] =  a;
       y[14+num] = -c;
       z[14+num] = -b;
       w[14+num] =  v;
       x[15+num] = -a;
       y[15+num] = -c;
       z[15+num] = -b;
       w[15+num] =  v;
       x[16+num] =  b;
       y[16+num] =  a;
       z[16+num] =  c;
       w[16+num] =  v;
       x[17+num] = -b;
       y[17+num] =  a;
       z[17+num] =  c;
       w[17+num] =  v;
       x[18+num] =  b;
       y[18+num] = -a;
       z[18+num] =  c;
       w[18+num] =  v;
       x[19+num] = -b;
       y[19+num] = -a;
       z[19+num] =  c;
       w[19+num] =  v;
       x[20+num] =  b;
       y[20+num] =  a;
       z[20+num] = -c;
       w[20+num] =  v;
       x[21+num] = -b;
       y[21+num] =  a;
       z[21+num] = -c;
       w[21+num] =  v;
       x[22+num] =  b;
       y[22+num] = -a;
       z[22+num] = -c;
       w[22+num] =  v;
       x[23+num] = -b;
       y[23+num] = -a;
       z[23+num] = -c;
       w[23+num] =  v;
       x[24+num] =  b;
       y[24+num] =  c;
       z[24+num] =  a;
       w[24+num] =  v;
       x[25+num] = -b;
       y[25+num] =  c;
       z[25+num] =  a;
       w[25+num] =  v;
       x[26+num] =  b;
       y[26+num] = -c;
       z[26+num] =  a;
       w[26+num] =  v;
       x[27+num] = -b;
       y[27+num] = -c;
       z[27+num] =  a;
       w[27+num] =  v;
       x[28+num] =  b;
       y[28+num] =  c;
       z[28+num] = -a;
       w[28+num] =  v;
       x[29+num] = -b;
       y[29+num] =  c;
       z[29+num] = -a;
       w[29+num] =  v;
       x[30+num] =  b;
       y[30+num] = -c;
       z[30+num] = -a;
       w[30+num] =  v;
       x[31+num] = -b;
       y[31+num] = -c;
       z[31+num] = -a;
       w[31+num] =  v;
       x[32+num] =  c;
       y[32+num] =  a;
       z[32+num] =  b;
       w[32+num] =  v;
       x[33+num] = -c;
       y[33+num] =  a;
       z[33+num] =  b;
       w[33+num] =  v;
       x[34+num] =  c;
       y[34+num] = -a;
       z[34+num] =  b;
       w[34+num] =  v;
       x[35+num] = -c;
       y[35+num] = -a;
       z[35+num] =  b;
       w[35+num] =  v;
       x[36+num] =  c;
       y[36+num] =  a;
       z[36+num] = -b;
       w[36+num] =  v;
       x[37+num] = -c;
       y[37+num] =  a;
       z[37+num] = -b;
       w[37+num] =  v;
       x[38+num] =  c;
       y[38+num] = -a;
       z[38+num] = -b;
       w[38+num] =  v;
       x[39+num] = -c;
       y[39+num] = -a;
       z[39+num] = -b;
       w[39+num] =  v;
       x[40+num] =  c;
       y[40+num] =  b;
       z[40+num] =  a;
       w[40+num] =  v;
       x[41+num] = -c;
       y[41+num] =  b;
       z[41+num] =  a;
       w[41+num] =  v;
       x[42+num] =  c;
       y[42+num] = -b;
       z[42+num] =  a;
       w[42+num] =  v;
       x[43+num] = -c;
       y[43+num] = -b;
       z[43+num] =  a;
       w[43+num] =  v;
       x[44+num] =  c;
       y[44+num] =  b;
       z[44+num] = -a;
       w[44+num] =  v;
       x[45+num] = -c;
       y[45+num] =  b;
       z[45+num] = -a;
       w[45+num] =  v;
       x[46+num] =  c;
       y[46+num] = -b;
       z[46+num] = -a;
       w[46+num] =  v;
       x[47+num] = -c;
       y[47+num] = -b;
       z[47+num] = -a;
       w[47+num] =  v;
       num=num+48;
//       return
     break;

    default:
       std::cout<< "Gen_Oh: Invalid Code" << std::endl;
      break;
  }
}


/////////   ///////////////////////////////////

        void LD0194_test(double* x,double* y,double* z,double* w){
/*     double x[194];
       double y[194];
       double z[194];
       double w[194]; */
       int N;
       double a,b,v;
/*CVW
CVW    LEBEDEV  194-POINT ANGULAR GRID
CVW
chvd
chvd   This subroutine is part of a set of subroutines that generate
chvd   Lebedev grids [1-6] for integration on a sphere. The original
chvd   C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
chvd   translated into fortran by Dr. Christoph van Wuellen.
chvd   This subroutine was translated using a C to fortran77 conversion
chvd   tool written by Dr. Christoph van Wuellen.
chvd
chvd   Users of this code are asked to include reference [1] in their
chvd   publications, and in the user- and programmers-manuals
chvd   describing their codes.
chvd
chvd   This code was distributed through CCL (http://www.ccl.net/).
chvd
chvd   [1] V.I. Lebedev, and D.N. Laikov
chvd       "A quadrature formula for the sphere of the 131st
chvd        algebraic order of accuracy"
chvd       Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.
chvd
chvd   [2] V.I. Lebedev
chvd       "A quadrature formula for the sphere of 59th algebraic
chvd        order of accuracy"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286.
chvd
chvd   [3] V.I. Lebedev, and A.L. Skorokhodov
chvd       "Quadrature formulas of orders 41, 47, and 53 for the sphere"
chvd       Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592.
chvd
chvd   [4] V.I. Lebedev
chvd       "Spherical quadrature formulas exact to orders 25-29"
chvd       Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107.
chvd
chvd   [5] V.I. Lebedev
chvd       "Quadratures on a sphere"
chvd       Computational Mathematics and Mathematical Physics, Vol. 16,
chvd       1976, pp. 10-24.
chvd
chvd   [6] V.I. Lebedev
chvd       "Values of the nodes and weights of ninth to seventeenth
chvd        order Gauss-Markov quadrature formulae invariant under the
chvd        octahedron group with inversion"
chvd       Computational Mathematics and Mathematical Physics, Vol. 15,
chvd       1975, pp. 44-51.
chvd    */
       N=1;
       v=0.1782340447244611e-2;
       GEN_OH( 1, N, x, y, z, w, a, b, v);
       v=0.5716905949977102e-2;
       GEN_OH( 2, N, x, y, z, w, a, b, v);
       v=0.5573383178848738e-2;
       GEN_OH( 3, N, x, y, z, w, a, b, v);
       a=0.6712973442695226;
       v=0.5608704082587997e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.2892465627575439;
       v=0.5158237711805383e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.4446933178717437;
       v=0.5518771467273614e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.1299335447650067 ;
       v=0.4106777028169394e-2;
       GEN_OH( 4, N, x, y, z, w, a, b, v);
       a=0.3457702197611283;
       v=0.5051846064614808e-2;
       GEN_OH( 5, N, x, y, z, w, a, b, v);
       a=0.1590417105383530;
       b=0.8360360154824589;
       v=0.5530248916233094e-2;
       GEN_OH( 6, N, x, y, z, w, a, b, v);
       N=N-1;
       //RETURN
}

