/******************************************************************************
 * OptiStore - A Data Processing Server
 * Copyright (C) 2003 Electronic Visualization Laboratory,
 * University of Illinois at Chicago
 *
 * Authors: Luc Renambot luc@evl.uic.edu
 *          Shalini Venkataraman shalini@evl.uic.edu
 *
 * All rights reserved.
 *
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions are met:
 *
 *  * Redistributions of source code must retain the above copyright
 *    notice, this list of conditions and the following disclaimer.
 *  * Redistributions in binary form must reproduce the above
 *    copyright notice, this list of conditions and the following disclaimer
 *    in the documentation and/or other materials provided with the distribution.
 *  * Neither the name of the University of Illinois at Chicago nor
 *    the names of its contributors may be used to endorse or promote
 *    products derived from this software without specific prior written permission.
 *
 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
 * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
 * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
 * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
 * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
 * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
 * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
 * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
 * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
 * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
 *
 * Direct questions, comments etc about OptiStore to luc@evl.uic.edu
 *****************************************************************************/

#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <assert.h>

#define NUM_DIRECTIONS 16643

static float *val_dir = NULL;

void GetDirection(int idx, float *x, float *y, float *z)
{
	*x = val_dir[idx*3 + 0];
	*y = val_dir[idx*3 + 1];
	*z = val_dir[idx*3 + 2];
}

float *ConvertDirections(int sx,int sy,int sz,unsigned short *data)
{
	float *good, x, y, z;

	good = (float*)malloc(sx*sy*sz*sizeof(float)*3);
	memset(good, 0, sx*sy*sz*sizeof(float)*3);

	for (int i=0;i<sx*sy*sz;i++)
	{
		unsigned short val = data[i];
		GetDirection(val, &x,&y,&z);
		good[ i*3 + 0 ] = x;
		good[ i*3 + 1 ] = y;
		good[ i*3 + 2 ] = z;
	}

	return good;
}


void InitDirectionsTable()
{
	if (val_dir == NULL)
	{
		val_dir = (float*)malloc( NUM_DIRECTIONS * sizeof(float) * 3);
		assert (val_dir != NULL);
		memset(val_dir, 0,  NUM_DIRECTIONS * sizeof(float) * 3);

        val_dir[0*3 + 0] = 0.0f;	val_dir[0*3 + 1] = -1.0f;	val_dir[0*3 + 2] = 0.0f;
        val_dir[1*3 + 0] = 0.015871f;	val_dir[1*3 + 1] = -0.999874f;	val_dir[1*3 + 2] = 0.0f;
        val_dir[2*3 + 0] = 0.032241f;	val_dir[2*3 + 1] = -0.999480f;	val_dir[2*3 + 2] = 0.0f;
        val_dir[3*3 + 0] = 0.049121f;	val_dir[3*3 + 1] = -0.998793f;	val_dir[3*3 + 2] = 0.0f;
        val_dir[4*3 + 0] = 0.066519f;	val_dir[4*3 + 1] = -0.997785f;	val_dir[4*3 + 2] = 0.0f;
        val_dir[5*3 + 0] = 0.084443f;	val_dir[5*3 + 1] = -0.996428f;	val_dir[5*3 + 2] = 0.0f;
        val_dir[6*3 + 0] = 0.102899f;	val_dir[6*3 + 1] = -0.994692f;	val_dir[6*3 + 2] = 0.0f;
        val_dir[7*3 + 0] = 0.121891f;	val_dir[7*3 + 1] = -0.992543f;	val_dir[7*3 + 2] = 0.0f;
        val_dir[8*3 + 0] = 0.141421f;	val_dir[8*3 + 1] = -0.989949f;	val_dir[8*3 + 2] = 0.0f;
        val_dir[9*3 + 0] = 0.161489f;	val_dir[9*3 + 1] = -0.986875f;	val_dir[9*3 + 2] = 0.0f;
        val_dir[10*3 + 0] = 0.182089f;	val_dir[10*3 + 1] = -0.983282f;	val_dir[10*3 + 2] = 0.0f;
        val_dir[11*3 + 0] = 0.203216f;	val_dir[11*3 + 1] = -0.979134f;	val_dir[11*3 + 2] = 0.0f;
        val_dir[12*3 + 0] = 0.224860f;	val_dir[12*3 + 1] = -0.974391f;	val_dir[12*3 + 2] = 0.0f;
        val_dir[13*3 + 0] = 0.247004f;	val_dir[13*3 + 1] = -0.969015f;	val_dir[13*3 + 2] = 0.0f;
        val_dir[14*3 + 0] = 0.269630f;	val_dir[14*3 + 1] = -0.962964f;	val_dir[14*3 + 2] = 0.0f;
        val_dir[15*3 + 0] = 0.292714f;	val_dir[15*3 + 1] = -0.95620f;	val_dir[15*3 + 2] = 0.0f;
        val_dir[16*3 + 0] = 0.316228f;	val_dir[16*3 + 1] = -0.948683f;	val_dir[16*3 + 2] = 0.0f;
        val_dir[17*3 + 0] = 0.340136f;	val_dir[17*3 + 1] = -0.940376f;	val_dir[17*3 + 2] = 0.0f;
        val_dir[18*3 + 0] = 0.364399f;	val_dir[18*3 + 1] = -0.931243f;	val_dir[18*3 + 2] = 0.0f;
        val_dir[19*3 + 0] = 0.388972f;	val_dir[19*3 + 1] = -0.921250f;	val_dir[19*3 + 2] = 0.0f;
        val_dir[20*3 + 0] = 0.413803f;	val_dir[20*3 + 1] = -0.910366f;	val_dir[20*3 + 2] = 0.0f;
        val_dir[21*3 + 0] = 0.438835f;	val_dir[21*3 + 1] = -0.898567f;	val_dir[21*3 + 2] = 0.0f;
        val_dir[22*3 + 0] = 0.464007f;	val_dir[22*3 + 1] = -0.885832f;	val_dir[22*3 + 2] = 0.0f;
        val_dir[23*3 + 0] = 0.489251f;	val_dir[23*3 + 1] = -0.872143f;	val_dir[23*3 + 2] = 0.0f;
        val_dir[24*3 + 0] = 0.514496f;	val_dir[24*3 + 1] = -0.857493f;	val_dir[24*3 + 2] = 0.0f;
        val_dir[25*3 + 0] = 0.539666f;	val_dir[25*3 + 1] = -0.841879f;	val_dir[25*3 + 2] = 0.0f;
        val_dir[26*3 + 0] = 0.564684f;	val_dir[26*3 + 1] = -0.825307f;	val_dir[26*3 + 2] = 0.0f;
        val_dir[27*3 + 0] = 0.589469f;	val_dir[27*3 + 1] = -0.807791f;	val_dir[27*3 + 2] = 0.0f;
        val_dir[28*3 + 0] = 0.613941f;	val_dir[28*3 + 1] = -0.789352f;	val_dir[28*3 + 2] = 0.0f;
        val_dir[29*3 + 0] = 0.638018f;	val_dir[29*3 + 1] = -0.770022f;	val_dir[29*3 + 2] = 0.0f;
        val_dir[30*3 + 0] = 0.661622f;	val_dir[30*3 + 1] = -0.749838f;	val_dir[30*3 + 2] = 0.0f;
        val_dir[31*3 + 0] = 0.684675f;	val_dir[31*3 + 1] = -0.728848f;	val_dir[31*3 + 2] = 0.0f;
        val_dir[32*3 + 0] = 0.707107f;	val_dir[32*3 + 1] = -0.707107f;	val_dir[32*3 + 2] = 0.0f;
        val_dir[33*3 + 0] = 0.728848f;	val_dir[33*3 + 1] = -0.684675f;	val_dir[33*3 + 2] = 0.0f;
        val_dir[34*3 + 0] = 0.749838f;	val_dir[34*3 + 1] = -0.661622f;	val_dir[34*3 + 2] = 0.0f;
        val_dir[35*3 + 0] = 0.770022f;	val_dir[35*3 + 1] = -0.638018f;	val_dir[35*3 + 2] = 0.0f;
        val_dir[36*3 + 0] = 0.789352f;	val_dir[36*3 + 1] = -0.613941f;	val_dir[36*3 + 2] = 0.0f;
        val_dir[37*3 + 0] = 0.807791f;	val_dir[37*3 + 1] = -0.589469f;	val_dir[37*3 + 2] = 0.0f;
        val_dir[38*3 + 0] = 0.825307f;	val_dir[38*3 + 1] = -0.564684f;	val_dir[38*3 + 2] = 0.0f;
        val_dir[39*3 + 0] = 0.841879f;	val_dir[39*3 + 1] = -0.539666f;	val_dir[39*3 + 2] = 0.0f;
        val_dir[40*3 + 0] = 0.857493f;	val_dir[40*3 + 1] = -0.514496f;	val_dir[40*3 + 2] = 0.0f;
        val_dir[41*3 + 0] = 0.872143f;	val_dir[41*3 + 1] = -0.489251f;	val_dir[41*3 + 2] = 0.0f;
        val_dir[42*3 + 0] = 0.885832f;	val_dir[42*3 + 1] = -0.464007f;	val_dir[42*3 + 2] = 0.0f;
        val_dir[43*3 + 0] = 0.898567f;	val_dir[43*3 + 1] = -0.438835f;	val_dir[43*3 + 2] = 0.0f;
        val_dir[44*3 + 0] = 0.910366f;	val_dir[44*3 + 1] = -0.413803f;	val_dir[44*3 + 2] = 0.0f;
        val_dir[45*3 + 0] = 0.921250f;	val_dir[45*3 + 1] = -0.388972f;	val_dir[45*3 + 2] = 0.0f;
        val_dir[46*3 + 0] = 0.931243f;	val_dir[46*3 + 1] = -0.364399f;	val_dir[46*3 + 2] = 0.0f;
        val_dir[47*3 + 0] = 0.940376f;	val_dir[47*3 + 1] = -0.340136f;	val_dir[47*3 + 2] = 0.0f;
        val_dir[48*3 + 0] = 0.948683f;	val_dir[48*3 + 1] = -0.316228f;	val_dir[48*3 + 2] = 0.0f;
        val_dir[49*3 + 0] = 0.95620f;	val_dir[49*3 + 1] = -0.292714f;	val_dir[49*3 + 2] = 0.0f;
        val_dir[50*3 + 0] = 0.962964f;	val_dir[50*3 + 1] = -0.269630f;	val_dir[50*3 + 2] = 0.0f;
        val_dir[51*3 + 0] = 0.969015f;	val_dir[51*3 + 1] = -0.247004f;	val_dir[51*3 + 2] = 0.0f;
        val_dir[52*3 + 0] = 0.974391f;	val_dir[52*3 + 1] = -0.224860f;	val_dir[52*3 + 2] = 0.0f;
        val_dir[53*3 + 0] = 0.979134f;	val_dir[53*3 + 1] = -0.203216f;	val_dir[53*3 + 2] = 0.0f;
        val_dir[54*3 + 0] = 0.983282f;	val_dir[54*3 + 1] = -0.182089f;	val_dir[54*3 + 2] = 0.0f;
        val_dir[55*3 + 0] = 0.986875f;	val_dir[55*3 + 1] = -0.161489f;	val_dir[55*3 + 2] = 0.0f;
        val_dir[56*3 + 0] = 0.989949f;	val_dir[56*3 + 1] = -0.141421f;	val_dir[56*3 + 2] = 0.0f;
        val_dir[57*3 + 0] = 0.992543f;	val_dir[57*3 + 1] = -0.121891f;	val_dir[57*3 + 2] = 0.0f;
        val_dir[58*3 + 0] = 0.994692f;	val_dir[58*3 + 1] = -0.102899f;	val_dir[58*3 + 2] = 0.0f;
        val_dir[59*3 + 0] = 0.996428f;	val_dir[59*3 + 1] = -0.084443f;	val_dir[59*3 + 2] = 0.0f;
        val_dir[60*3 + 0] = 0.997785f;	val_dir[60*3 + 1] = -0.066519f;	val_dir[60*3 + 2] = 0.0f;
        val_dir[61*3 + 0] = 0.998793f;	val_dir[61*3 + 1] = -0.049121f;	val_dir[61*3 + 2] = 0.0f;
        val_dir[62*3 + 0] = 0.999480f;	val_dir[62*3 + 1] = -0.032241f;	val_dir[62*3 + 2] = 0.0f;
        val_dir[63*3 + 0] = 0.999874f;	val_dir[63*3 + 1] = -0.015871f;	val_dir[63*3 + 2] = 0.0f;
        val_dir[64*3 + 0] = 1.0f;	val_dir[64*3 + 1] = 0.0f;	val_dir[64*3 + 2] = 0.0f;
        val_dir[65*3 + 0] = 0.0f;	val_dir[65*3 + 1] = -0.999874f;	val_dir[65*3 + 2] = 0.015871f;
        val_dir[66*3 + 0] = 0.016125f;	val_dir[66*3 + 1] = -0.999740f;	val_dir[66*3 + 2] = 0.016125f;
        val_dir[67*3 + 0] = 0.032765f;	val_dir[67*3 + 1] = -0.999329f;	val_dir[67*3 + 2] = 0.016382f;
        val_dir[68*3 + 0] = 0.049931f;	val_dir[68*3 + 1] = -0.998614f;	val_dir[68*3 + 2] = 0.016644f;
        val_dir[69*3 + 0] = 0.067632f;	val_dir[69*3 + 1] = -0.997567f;	val_dir[69*3 + 2] = 0.016908f;
        val_dir[70*3 + 0] = 0.085876f;	val_dir[70*3 + 1] = -0.996158f;	val_dir[70*3 + 2] = 0.017175f;
        val_dir[71*3 + 0] = 0.104669f;	val_dir[71*3 + 1] = -0.994354f;	val_dir[71*3 + 2] = 0.017445f;
        val_dir[72*3 + 0] = 0.124015f;	val_dir[72*3 + 1] = -0.992122f;	val_dir[72*3 + 2] = 0.017716f;
        val_dir[73*3 + 0] = 0.143917f;	val_dir[73*3 + 1] = -0.989426f;	val_dir[73*3 + 2] = 0.017990f;
        val_dir[74*3 + 0] = 0.164372f;	val_dir[74*3 + 1] = -0.986229f;	val_dir[74*3 + 2] = 0.018264f;
        val_dir[75*3 + 0] = 0.185376f;	val_dir[75*3 + 1] = -0.982493f;	val_dir[75*3 + 2] = 0.018538f;
        val_dir[76*3 + 0] = 0.206922f;	val_dir[76*3 + 1] = -0.978177f;	val_dir[76*3 + 2] = 0.018811f;
        val_dir[77*3 + 0] = 0.228998f;	val_dir[77*3 + 1] = -0.973240f;	val_dir[77*3 + 2] = 0.019083f;
        val_dir[78*3 + 0] = 0.251587f;	val_dir[78*3 + 1] = -0.967641f;	val_dir[78*3 + 2] = 0.019353f;
        val_dir[79*3 + 0] = 0.274668f;	val_dir[79*3 + 1] = -0.961339f;	val_dir[79*3 + 2] = 0.019619f;
        val_dir[80*3 + 0] = 0.298216f;	val_dir[80*3 + 1] = -0.954291f;	val_dir[80*3 + 2] = 0.019881f;
        val_dir[81*3 + 0] = 0.322198f;	val_dir[81*3 + 1] = -0.946458f;	val_dir[81*3 + 2] = 0.020137f;
        val_dir[82*3 + 0] = 0.346578f;	val_dir[82*3 + 1] = -0.93780f;	val_dir[82*3 + 2] = 0.020387f;
        val_dir[83*3 + 0] = 0.371312f;	val_dir[83*3 + 1] = -0.928279f;	val_dir[83*3 + 2] = 0.020628f;
        val_dir[84*3 + 0] = 0.396350f;	val_dir[84*3 + 1] = -0.917863f;	val_dir[84*3 + 2] = 0.020861f;
        val_dir[85*3 + 0] = 0.421637f;	val_dir[85*3 + 1] = -0.906520f;	val_dir[85*3 + 2] = 0.021082f;
        val_dir[86*3 + 0] = 0.447112f;	val_dir[86*3 + 1] = -0.894224f;	val_dir[86*3 + 2] = 0.021291f;
        val_dir[87*3 + 0] = 0.472709f;	val_dir[87*3 + 1] = -0.880957f;	val_dir[87*3 + 2] = 0.021487f;
        val_dir[88*3 + 0] = 0.498354f;	val_dir[88*3 + 1] = -0.866703f;	val_dir[88*3 + 2] = 0.021668f;
        val_dir[89*3 + 0] = 0.523973f;	val_dir[89*3 + 1] = -0.851455f;	val_dir[89*3 + 2] = 0.021832f;
        val_dir[90*3 + 0] = 0.549484f;	val_dir[90*3 + 1] = -0.835215f;	val_dir[90*3 + 2] = 0.021979f;
        val_dir[91*3 + 0] = 0.574805f;	val_dir[91*3 + 1] = -0.817992f;	val_dir[91*3 + 2] = 0.022108f;
        val_dir[92*3 + 0] = 0.599852f;	val_dir[92*3 + 1] = -0.799803f;	val_dir[92*3 + 2] = 0.022217f;
        val_dir[93*3 + 0] = 0.624540f;	val_dir[93*3 + 1] = -0.780675f;	val_dir[93*3 + 2] = 0.022305f;
        val_dir[94*3 + 0] = 0.648784f;	val_dir[94*3 + 1] = -0.760644f;	val_dir[94*3 + 2] = 0.022372f;
        val_dir[95*3 + 0] = 0.672504f;	val_dir[95*3 + 1] = -0.739754f;	val_dir[95*3 + 2] = 0.022417f;
        val_dir[96*3 + 0] = 0.695620f;	val_dir[96*3 + 1] = -0.718059f;	val_dir[96*3 + 2] = 0.022439f;
        val_dir[97*3 + 0] = 0.718059f;	val_dir[97*3 + 1] = -0.695620f;	val_dir[97*3 + 2] = 0.022439f;
        val_dir[98*3 + 0] = 0.739754f;	val_dir[98*3 + 1] = -0.672504f;	val_dir[98*3 + 2] = 0.022417f;
        val_dir[99*3 + 0] = 0.760644f;	val_dir[99*3 + 1] = -0.648784f;	val_dir[99*3 + 2] = 0.022372f;
        val_dir[100*3 + 0] = 0.780675f;	val_dir[100*3 + 1] = -0.624540f;	val_dir[100*3 + 2] = 0.022305f;
        val_dir[101*3 + 0] = 0.799803f;	val_dir[101*3 + 1] = -0.599852f;	val_dir[101*3 + 2] = 0.022217f;
        val_dir[102*3 + 0] = 0.817992f;	val_dir[102*3 + 1] = -0.574805f;	val_dir[102*3 + 2] = 0.022108f;
        val_dir[103*3 + 0] = 0.835215f;	val_dir[103*3 + 1] = -0.549484f;	val_dir[103*3 + 2] = 0.021979f;
        val_dir[104*3 + 0] = 0.851455f;	val_dir[104*3 + 1] = -0.523973f;	val_dir[104*3 + 2] = 0.021832f;
        val_dir[105*3 + 0] = 0.866703f;	val_dir[105*3 + 1] = -0.498354f;	val_dir[105*3 + 2] = 0.021668f;
        val_dir[106*3 + 0] = 0.880957f;	val_dir[106*3 + 1] = -0.472709f;	val_dir[106*3 + 2] = 0.021487f;
        val_dir[107*3 + 0] = 0.894224f;	val_dir[107*3 + 1] = -0.447112f;	val_dir[107*3 + 2] = 0.021291f;
        val_dir[108*3 + 0] = 0.906520f;	val_dir[108*3 + 1] = -0.421637f;	val_dir[108*3 + 2] = 0.021082f;
        val_dir[109*3 + 0] = 0.917863f;	val_dir[109*3 + 1] = -0.396350f;	val_dir[109*3 + 2] = 0.020861f;
        val_dir[110*3 + 0] = 0.928279f;	val_dir[110*3 + 1] = -0.371312f;	val_dir[110*3 + 2] = 0.020628f;
        val_dir[111*3 + 0] = 0.93780f;	val_dir[111*3 + 1] = -0.346578f;	val_dir[111*3 + 2] = 0.020387f;
        val_dir[112*3 + 0] = 0.946458f;	val_dir[112*3 + 1] = -0.322198f;	val_dir[112*3 + 2] = 0.020137f;
        val_dir[113*3 + 0] = 0.954291f;	val_dir[113*3 + 1] = -0.298216f;	val_dir[113*3 + 2] = 0.019881f;
        val_dir[114*3 + 0] = 0.961339f;	val_dir[114*3 + 1] = -0.274668f;	val_dir[114*3 + 2] = 0.019619f;
        val_dir[115*3 + 0] = 0.967641f;	val_dir[115*3 + 1] = -0.251587f;	val_dir[115*3 + 2] = 0.019353f;
        val_dir[116*3 + 0] = 0.973240f;	val_dir[116*3 + 1] = -0.228998f;	val_dir[116*3 + 2] = 0.019083f;
        val_dir[117*3 + 0] = 0.978177f;	val_dir[117*3 + 1] = -0.206922f;	val_dir[117*3 + 2] = 0.018811f;
        val_dir[118*3 + 0] = 0.982493f;	val_dir[118*3 + 1] = -0.185376f;	val_dir[118*3 + 2] = 0.018538f;
        val_dir[119*3 + 0] = 0.986229f;	val_dir[119*3 + 1] = -0.164372f;	val_dir[119*3 + 2] = 0.018264f;
        val_dir[120*3 + 0] = 0.989426f;	val_dir[120*3 + 1] = -0.143917f;	val_dir[120*3 + 2] = 0.017990f;
        val_dir[121*3 + 0] = 0.992122f;	val_dir[121*3 + 1] = -0.124015f;	val_dir[121*3 + 2] = 0.017716f;
        val_dir[122*3 + 0] = 0.994354f;	val_dir[122*3 + 1] = -0.104669f;	val_dir[122*3 + 2] = 0.017445f;
        val_dir[123*3 + 0] = 0.996158f;	val_dir[123*3 + 1] = -0.085876f;	val_dir[123*3 + 2] = 0.017175f;
        val_dir[124*3 + 0] = 0.997567f;	val_dir[124*3 + 1] = -0.067632f;	val_dir[124*3 + 2] = 0.016908f;
        val_dir[125*3 + 0] = 0.998614f;	val_dir[125*3 + 1] = -0.049931f;	val_dir[125*3 + 2] = 0.016644f;
        val_dir[126*3 + 0] = 0.999329f;	val_dir[126*3 + 1] = -0.032765f;	val_dir[126*3 + 2] = 0.016382f;
        val_dir[127*3 + 0] = 0.999740f;	val_dir[127*3 + 1] = -0.016125f;	val_dir[127*3 + 2] = 0.016125f;
        val_dir[128*3 + 0] = 0.999874f;	val_dir[128*3 + 1] = 0.0f;	val_dir[128*3 + 2] = 0.015871f;
        val_dir[129*3 + 0] = -0.015871f;	val_dir[129*3 + 1] = -0.999874f;	val_dir[129*3 + 2] = 0.0f;
        val_dir[130*3 + 0] = 0.0f;	val_dir[130*3 + 1] = -0.999480f;	val_dir[130*3 + 2] = 0.032241f;
        val_dir[131*3 + 0] = 0.016382f;	val_dir[131*3 + 1] = -0.999329f;	val_dir[131*3 + 2] = 0.032765f;
        val_dir[132*3 + 0] = 0.033296f;	val_dir[132*3 + 1] = -0.998891f;	val_dir[132*3 + 2] = 0.033296f;
        val_dir[133*3 + 0] = 0.050753f;	val_dir[133*3 + 1] = -0.998138f;	val_dir[133*3 + 2] = 0.033835f;
        val_dir[134*3 + 0] = 0.068761f;	val_dir[134*3 + 1] = -0.997041f;	val_dir[134*3 + 2] = 0.034381f;
        val_dir[135*3 + 0] = 0.087330f;	val_dir[135*3 + 1] = -0.995567f;	val_dir[135*3 + 2] = 0.034932f;
        val_dir[136*3 + 0] = 0.106466f;	val_dir[136*3 + 1] = -0.993683f;	val_dir[136*3 + 2] = 0.035489f;
        val_dir[137*3 + 0] = 0.126172f;	val_dir[137*3 + 1] = -0.991353f;	val_dir[137*3 + 2] = 0.036049f;
        val_dir[138*3 + 0] = 0.146450f;	val_dir[138*3 + 1] = -0.988540f;	val_dir[138*3 + 2] = 0.036613f;
        val_dir[139*3 + 0] = 0.167299f;	val_dir[139*3 + 1] = -0.985205f;	val_dir[139*3 + 2] = 0.037178f;
        val_dir[140*3 + 0] = 0.188713f;	val_dir[140*3 + 1] = -0.981307f;	val_dir[140*3 + 2] = 0.037743f;
        val_dir[141*3 + 0] = 0.210683f;	val_dir[141*3 + 1] = -0.976804f;	val_dir[141*3 + 2] = 0.038306f;
        val_dir[142*3 + 0] = 0.233197f;	val_dir[142*3 + 1] = -0.971653f;	val_dir[142*3 + 2] = 0.038866f;
        val_dir[143*3 + 0] = 0.256235f;	val_dir[143*3 + 1] = -0.965810f;	val_dir[143*3 + 2] = 0.039421f;
        val_dir[144*3 + 0] = 0.279776f;	val_dir[144*3 + 1] = -0.959233f;	val_dir[144*3 + 2] = 0.039968f;
        val_dir[145*3 + 0] = 0.303791f;	val_dir[145*3 + 1] = -0.951877f;	val_dir[145*3 + 2] = 0.040505f;
        val_dir[146*3 + 0] = 0.328244f;	val_dir[146*3 + 1] = -0.943701f;	val_dir[146*3 + 2] = 0.041030f;
        val_dir[147*3 + 0] = 0.353096f;	val_dir[147*3 + 1] = -0.934665f;	val_dir[147*3 + 2] = 0.041541f;
        val_dir[148*3 + 0] = 0.378298f;	val_dir[148*3 + 1] = -0.924729f;	val_dir[148*3 + 2] = 0.042033f;
        val_dir[149*3 + 0] = 0.403799f;	val_dir[149*3 + 1] = -0.913860f;	val_dir[149*3 + 2] = 0.042505f;
        val_dir[150*3 + 0] = 0.429537f;	val_dir[150*3 + 1] = -0.902027f;	val_dir[150*3 + 2] = 0.042954f;
        val_dir[151*3 + 0] = 0.455447f;	val_dir[151*3 + 1] = -0.889206f;	val_dir[151*3 + 2] = 0.043376f;
        val_dir[152*3 + 0] = 0.481457f;	val_dir[152*3 + 1] = -0.875376f;	val_dir[152*3 + 2] = 0.043769f;
        val_dir[153*3 + 0] = 0.507490f;	val_dir[153*3 + 1] = -0.860527f;	val_dir[153*3 + 2] = 0.044130f;
        val_dir[154*3 + 0] = 0.533465f;	val_dir[154*3 + 1] = -0.844653f;	val_dir[154*3 + 2] = 0.044455f;
        val_dir[155*3 + 0] = 0.559297f;	val_dir[155*3 + 1] = -0.827759f;	val_dir[155*3 + 2] = 0.044744f;
        val_dir[156*3 + 0] = 0.584898f;	val_dir[156*3 + 1] = -0.809858f;	val_dir[156*3 + 2] = 0.044992f;
        val_dir[157*3 + 0] = 0.610179f;	val_dir[157*3 + 1] = -0.790973f;	val_dir[157*3 + 2] = 0.045198f;
        val_dir[158*3 + 0] = 0.635053f;	val_dir[158*3 + 1] = -0.771136f;	val_dir[158*3 + 2] = 0.045361f;
        val_dir[159*3 + 0] = 0.659432f;	val_dir[159*3 + 1] = -0.750388f;	val_dir[159*3 + 2] = 0.045478f;
        val_dir[160*3 + 0] = 0.683231f;	val_dir[160*3 + 1] = -0.728780f;	val_dir[160*3 + 2] = 0.045549f;
        val_dir[161*3 + 0] = 0.706372f;	val_dir[161*3 + 1] = -0.706372f;	val_dir[161*3 + 2] = 0.045572f;
        val_dir[162*3 + 0] = 0.728780f;	val_dir[162*3 + 1] = -0.683231f;	val_dir[162*3 + 2] = 0.045549f;
        val_dir[163*3 + 0] = 0.750388f;	val_dir[163*3 + 1] = -0.659432f;	val_dir[163*3 + 2] = 0.045478f;
        val_dir[164*3 + 0] = 0.771136f;	val_dir[164*3 + 1] = -0.635053f;	val_dir[164*3 + 2] = 0.045361f;
        val_dir[165*3 + 0] = 0.790973f;	val_dir[165*3 + 1] = -0.610179f;	val_dir[165*3 + 2] = 0.045198f;
        val_dir[166*3 + 0] = 0.809858f;	val_dir[166*3 + 1] = -0.584898f;	val_dir[166*3 + 2] = 0.044992f;
        val_dir[167*3 + 0] = 0.827759f;	val_dir[167*3 + 1] = -0.559297f;	val_dir[167*3 + 2] = 0.044744f;
        val_dir[168*3 + 0] = 0.844653f;	val_dir[168*3 + 1] = -0.533465f;	val_dir[168*3 + 2] = 0.044455f;
        val_dir[169*3 + 0] = 0.860527f;	val_dir[169*3 + 1] = -0.507490f;	val_dir[169*3 + 2] = 0.044130f;
        val_dir[170*3 + 0] = 0.875376f;	val_dir[170*3 + 1] = -0.481457f;	val_dir[170*3 + 2] = 0.043769f;
        val_dir[171*3 + 0] = 0.889206f;	val_dir[171*3 + 1] = -0.455447f;	val_dir[171*3 + 2] = 0.043376f;
        val_dir[172*3 + 0] = 0.902027f;	val_dir[172*3 + 1] = -0.429537f;	val_dir[172*3 + 2] = 0.042954f;
        val_dir[173*3 + 0] = 0.913860f;	val_dir[173*3 + 1] = -0.403799f;	val_dir[173*3 + 2] = 0.042505f;
        val_dir[174*3 + 0] = 0.924729f;	val_dir[174*3 + 1] = -0.378298f;	val_dir[174*3 + 2] = 0.042033f;
        val_dir[175*3 + 0] = 0.934665f;	val_dir[175*3 + 1] = -0.353096f;	val_dir[175*3 + 2] = 0.041541f;
        val_dir[176*3 + 0] = 0.943701f;	val_dir[176*3 + 1] = -0.328244f;	val_dir[176*3 + 2] = 0.041030f;
        val_dir[177*3 + 0] = 0.951877f;	val_dir[177*3 + 1] = -0.303791f;	val_dir[177*3 + 2] = 0.040505f;
        val_dir[178*3 + 0] = 0.959233f;	val_dir[178*3 + 1] = -0.279776f;	val_dir[178*3 + 2] = 0.039968f;
        val_dir[179*3 + 0] = 0.965810f;	val_dir[179*3 + 1] = -0.256235f;	val_dir[179*3 + 2] = 0.039421f;
        val_dir[180*3 + 0] = 0.971653f;	val_dir[180*3 + 1] = -0.233197f;	val_dir[180*3 + 2] = 0.038866f;
        val_dir[181*3 + 0] = 0.976804f;	val_dir[181*3 + 1] = -0.210683f;	val_dir[181*3 + 2] = 0.038306f;
        val_dir[182*3 + 0] = 0.981307f;	val_dir[182*3 + 1] = -0.188713f;	val_dir[182*3 + 2] = 0.037743f;
        val_dir[183*3 + 0] = 0.985205f;	val_dir[183*3 + 1] = -0.167299f;	val_dir[183*3 + 2] = 0.037178f;
        val_dir[184*3 + 0] = 0.988540f;	val_dir[184*3 + 1] = -0.146450f;	val_dir[184*3 + 2] = 0.036613f;
        val_dir[185*3 + 0] = 0.991353f;	val_dir[185*3 + 1] = -0.126172f;	val_dir[185*3 + 2] = 0.036049f;
        val_dir[186*3 + 0] = 0.993683f;	val_dir[186*3 + 1] = -0.106466f;	val_dir[186*3 + 2] = 0.035489f;
        val_dir[187*3 + 0] = 0.995567f;	val_dir[187*3 + 1] = -0.087330f;	val_dir[187*3 + 2] = 0.034932f;
        val_dir[188*3 + 0] = 0.997041f;	val_dir[188*3 + 1] = -0.068761f;	val_dir[188*3 + 2] = 0.034381f;
        val_dir[189*3 + 0] = 0.998138f;	val_dir[189*3 + 1] = -0.050753f;	val_dir[189*3 + 2] = 0.033835f;
        val_dir[190*3 + 0] = 0.998891f;	val_dir[190*3 + 1] = -0.033296f;	val_dir[190*3 + 2] = 0.033296f;
        val_dir[191*3 + 0] = 0.999329f;	val_dir[191*3 + 1] = -0.016382f;	val_dir[191*3 + 2] = 0.032765f;
        val_dir[192*3 + 0] = 0.999480f;	val_dir[192*3 + 1] = 0.0f;	val_dir[192*3 + 2] = 0.032241f;
        val_dir[193*3 + 0] = 0.999874f;	val_dir[193*3 + 1] = 0.015871f;	val_dir[193*3 + 2] = 0.0f;
        val_dir[194*3 + 0] = -0.016125f;	val_dir[194*3 + 1] = -0.999740f;	val_dir[194*3 + 2] = 0.016125f;
        val_dir[195*3 + 0] = 0.0f;	val_dir[195*3 + 1] = -0.998793f;	val_dir[195*3 + 2] = 0.049121f;
        val_dir[196*3 + 0] = 0.016644f;	val_dir[196*3 + 1] = -0.998614f;	val_dir[196*3 + 2] = 0.049931f;
        val_dir[197*3 + 0] = 0.033835f;	val_dir[197*3 + 1] = -0.998138f;	val_dir[197*3 + 2] = 0.050753f;
        val_dir[198*3 + 0] = 0.051586f;	val_dir[198*3 + 1] = -0.997335f;	val_dir[198*3 + 2] = 0.051586f;
        val_dir[199*3 + 0] = 0.069907f;	val_dir[199*3 + 1] = -0.996175f;	val_dir[199*3 + 2] = 0.052430f;
        val_dir[200*3 + 0] = 0.088806f;	val_dir[200*3 + 1] = -0.994623f;	val_dir[200*3 + 2] = 0.053283f;
        val_dir[201*3 + 0] = 0.108288f;	val_dir[201*3 + 1] = -0.992644f;	val_dir[201*3 + 2] = 0.054144f;
        val_dir[202*3 + 0] = 0.128359f;	val_dir[202*3 + 1] = -0.990201f;	val_dir[202*3 + 2] = 0.055011f;
        val_dir[203*3 + 0] = 0.149019f;	val_dir[203*3 + 1] = -0.987254f;	val_dir[203*3 + 2] = 0.055882f;
        val_dir[204*3 + 0] = 0.170267f;	val_dir[204*3 + 1] = -0.983762f;	val_dir[204*3 + 2] = 0.056756f;
        val_dir[205*3 + 0] = 0.192095f;	val_dir[205*3 + 1] = -0.979683f;	val_dir[205*3 + 2] = 0.057628f;
        val_dir[206*3 + 0] = 0.214494f;	val_dir[206*3 + 1] = -0.974972f;	val_dir[206*3 + 2] = 0.058498f;
        val_dir[207*3 + 0] = 0.237449f;	val_dir[207*3 + 1] = -0.969584f;	val_dir[207*3 + 2] = 0.059362f;
        val_dir[208*3 + 0] = 0.260941f;	val_dir[208*3 + 1] = -0.963475f;	val_dir[208*3 + 2] = 0.060217f;
        val_dir[209*3 + 0] = 0.284944f;	val_dir[209*3 + 1] = -0.956597f;	val_dir[209*3 + 2] = 0.061059f;
        val_dir[210*3 + 0] = 0.309426f;	val_dir[210*3 + 1] = -0.948908f;	val_dir[210*3 + 2] = 0.061885f;
        val_dir[211*3 + 0] = 0.334351f;	val_dir[211*3 + 1] = -0.940361f;	val_dir[211*3 + 2] = 0.062691f;
        val_dir[212*3 + 0] = 0.359673f;	val_dir[212*3 + 1] = -0.930917f;	val_dir[212*3 + 2] = 0.063472f;
        val_dir[213*3 + 0] = 0.385341f;	val_dir[213*3 + 1] = -0.920537f;	val_dir[213*3 + 2] = 0.064223f;
        val_dir[214*3 + 0] = 0.411298f;	val_dir[214*3 + 1] = -0.909185f;	val_dir[214*3 + 2] = 0.064942f;
        val_dir[215*3 + 0] = 0.437479f;	val_dir[215*3 + 1] = -0.896831f;	val_dir[215*3 + 2] = 0.065622f;
        val_dir[216*3 + 0] = 0.463812f;	val_dir[216*3 + 1] = -0.883452f;	val_dir[216*3 + 2] = 0.066259f;
        val_dir[217*3 + 0] = 0.490222f;	val_dir[217*3 + 1] = -0.869030f;	val_dir[217*3 + 2] = 0.066848f;
        val_dir[218*3 + 0] = 0.516626f;	val_dir[218*3 + 1] = -0.853556f;	val_dir[218*3 + 2] = 0.067386f;
        val_dir[219*3 + 0] = 0.542936f;	val_dir[219*3 + 1] = -0.837027f;	val_dir[219*3 + 2] = 0.067867f;
        val_dir[220*3 + 0] = 0.569064f;	val_dir[220*3 + 1] = -0.819453f;	val_dir[220*3 + 2] = 0.068288f;
        val_dir[221*3 + 0] = 0.594917f;	val_dir[221*3 + 1] = -0.800850f;	val_dir[221*3 + 2] = 0.068644f;
        val_dir[222*3 + 0] = 0.620403f;	val_dir[222*3 + 1] = -0.781248f;	val_dir[222*3 + 2] = 0.068934f;
        val_dir[223*3 + 0] = 0.645429f;	val_dir[223*3 + 1] = -0.760684f;	val_dir[223*3 + 2] = 0.069153f;
        val_dir[224*3 + 0] = 0.669905f;	val_dir[224*3 + 1] = -0.739205f;	val_dir[224*3 + 2] = 0.069301f;
        val_dir[225*3 + 0] = 0.693746f;	val_dir[225*3 + 1] = -0.716871f;	val_dir[225*3 + 2] = 0.069375f;
        val_dir[226*3 + 0] = 0.716871f;	val_dir[226*3 + 1] = -0.693746f;	val_dir[226*3 + 2] = 0.069375f;
        val_dir[227*3 + 0] = 0.739205f;	val_dir[227*3 + 1] = -0.669905f;	val_dir[227*3 + 2] = 0.069301f;
        val_dir[228*3 + 0] = 0.760684f;	val_dir[228*3 + 1] = -0.645429f;	val_dir[228*3 + 2] = 0.069153f;
        val_dir[229*3 + 0] = 0.781248f;	val_dir[229*3 + 1] = -0.620403f;	val_dir[229*3 + 2] = 0.068934f;
        val_dir[230*3 + 0] = 0.800850f;	val_dir[230*3 + 1] = -0.594917f;	val_dir[230*3 + 2] = 0.068644f;
        val_dir[231*3 + 0] = 0.819453f;	val_dir[231*3 + 1] = -0.569064f;	val_dir[231*3 + 2] = 0.068288f;
        val_dir[232*3 + 0] = 0.837027f;	val_dir[232*3 + 1] = -0.542936f;	val_dir[232*3 + 2] = 0.067867f;
        val_dir[233*3 + 0] = 0.853556f;	val_dir[233*3 + 1] = -0.516626f;	val_dir[233*3 + 2] = 0.067386f;
        val_dir[234*3 + 0] = 0.869030f;	val_dir[234*3 + 1] = -0.490222f;	val_dir[234*3 + 2] = 0.066848f;
        val_dir[235*3 + 0] = 0.883452f;	val_dir[235*3 + 1] = -0.463812f;	val_dir[235*3 + 2] = 0.066259f;
        val_dir[236*3 + 0] = 0.896831f;	val_dir[236*3 + 1] = -0.437479f;	val_dir[236*3 + 2] = 0.065622f;
        val_dir[237*3 + 0] = 0.909185f;	val_dir[237*3 + 1] = -0.411298f;	val_dir[237*3 + 2] = 0.064942f;
        val_dir[238*3 + 0] = 0.920537f;	val_dir[238*3 + 1] = -0.385341f;	val_dir[238*3 + 2] = 0.064223f;
        val_dir[239*3 + 0] = 0.930917f;	val_dir[239*3 + 1] = -0.359673f;	val_dir[239*3 + 2] = 0.063472f;
        val_dir[240*3 + 0] = 0.940361f;	val_dir[240*3 + 1] = -0.334351f;	val_dir[240*3 + 2] = 0.062691f;
        val_dir[241*3 + 0] = 0.948908f;	val_dir[241*3 + 1] = -0.309426f;	val_dir[241*3 + 2] = 0.061885f;
        val_dir[242*3 + 0] = 0.956597f;	val_dir[242*3 + 1] = -0.284944f;	val_dir[242*3 + 2] = 0.061059f;
        val_dir[243*3 + 0] = 0.963475f;	val_dir[243*3 + 1] = -0.260941f;	val_dir[243*3 + 2] = 0.060217f;
        val_dir[244*3 + 0] = 0.969584f;	val_dir[244*3 + 1] = -0.237449f;	val_dir[244*3 + 2] = 0.059362f;
        val_dir[245*3 + 0] = 0.974972f;	val_dir[245*3 + 1] = -0.214494f;	val_dir[245*3 + 2] = 0.058498f;
        val_dir[246*3 + 0] = 0.979683f;	val_dir[246*3 + 1] = -0.192095f;	val_dir[246*3 + 2] = 0.057628f;
        val_dir[247*3 + 0] = 0.983762f;	val_dir[247*3 + 1] = -0.170267f;	val_dir[247*3 + 2] = 0.056756f;
        val_dir[248*3 + 0] = 0.987254f;	val_dir[248*3 + 1] = -0.149019f;	val_dir[248*3 + 2] = 0.055882f;
        val_dir[249*3 + 0] = 0.990201f;	val_dir[249*3 + 1] = -0.128359f;	val_dir[249*3 + 2] = 0.055011f;
        val_dir[250*3 + 0] = 0.992644f;	val_dir[250*3 + 1] = -0.108288f;	val_dir[250*3 + 2] = 0.054144f;
        val_dir[251*3 + 0] = 0.994623f;	val_dir[251*3 + 1] = -0.088806f;	val_dir[251*3 + 2] = 0.053283f;
        val_dir[252*3 + 0] = 0.996175f;	val_dir[252*3 + 1] = -0.069907f;	val_dir[252*3 + 2] = 0.052430f;
        val_dir[253*3 + 0] = 0.997335f;	val_dir[253*3 + 1] = -0.051586f;	val_dir[253*3 + 2] = 0.051586f;
        val_dir[254*3 + 0] = 0.998138f;	val_dir[254*3 + 1] = -0.033835f;	val_dir[254*3 + 2] = 0.050753f;
        val_dir[255*3 + 0] = 0.998614f;	val_dir[255*3 + 1] = -0.016644f;	val_dir[255*3 + 2] = 0.049931f;
        val_dir[256*3 + 0] = 0.998793f;	val_dir[256*3 + 1] = 0.0f;	val_dir[256*3 + 2] = 0.049121f;
        val_dir[257*3 + 0] = 0.999740f;	val_dir[257*3 + 1] = 0.016125f;	val_dir[257*3 + 2] = 0.016125f;
        val_dir[258*3 + 0] = -0.032241f;	val_dir[258*3 + 1] = -0.999480f;	val_dir[258*3 + 2] = 0.0f;
        val_dir[259*3 + 0] = -0.016382f;	val_dir[259*3 + 1] = -0.999329f;	val_dir[259*3 + 2] = 0.032765f;
        val_dir[260*3 + 0] = 0.0f;	val_dir[260*3 + 1] = -0.997785f;	val_dir[260*3 + 2] = 0.066519f;
        val_dir[261*3 + 0] = 0.016908f;	val_dir[261*3 + 1] = -0.997567f;	val_dir[261*3 + 2] = 0.067632f;
        val_dir[262*3 + 0] = 0.034381f;	val_dir[262*3 + 1] = -0.997041f;	val_dir[262*3 + 2] = 0.068761f;
        val_dir[263*3 + 0] = 0.052430f;	val_dir[263*3 + 1] = -0.996175f;	val_dir[263*3 + 2] = 0.069907f;
        val_dir[264*3 + 0] = 0.071067f;	val_dir[264*3 + 1] = -0.994937f;	val_dir[264*3 + 2] = 0.071067f;
        val_dir[265*3 + 0] = 0.090299f;	val_dir[265*3 + 1] = -0.993291f;	val_dir[265*3 + 2] = 0.072239f;
        val_dir[266*3 + 0] = 0.110133f;	val_dir[266*3 + 1] = -0.991201f;	val_dir[266*3 + 2] = 0.073422f;
        val_dir[267*3 + 0] = 0.130573f;	val_dir[267*3 + 1] = -0.988627f;	val_dir[267*3 + 2] = 0.074613f;
        val_dir[268*3 + 0] = 0.151620f;	val_dir[268*3 + 1] = -0.985527f;	val_dir[268*3 + 2] = 0.075810f;
        val_dir[269*3 + 0] = 0.173269f;	val_dir[269*3 + 1] = -0.981859f;	val_dir[269*3 + 2] = 0.077009f;
        val_dir[270*3 + 0] = 0.195515f;	val_dir[270*3 + 1] = -0.977577f;	val_dir[270*3 + 2] = 0.078206f;
        val_dir[271*3 + 0] = 0.218347f;	val_dir[271*3 + 1] = -0.972636f;	val_dir[271*3 + 2] = 0.079399f;
        val_dir[272*3 + 0] = 0.241747f;	val_dir[272*3 + 1] = -0.966988f;	val_dir[272*3 + 2] = 0.080582f;
        val_dir[273*3 + 0] = 0.265694f;	val_dir[273*3 + 1] = -0.960585f;	val_dir[273*3 + 2] = 0.081752f;
        val_dir[274*3 + 0] = 0.290159f;	val_dir[274*3 + 1] = -0.953381f;	val_dir[274*3 + 2] = 0.082903f;
        val_dir[275*3 + 0] = 0.315109f;	val_dir[275*3 + 1] = -0.945328f;	val_dir[275*3 + 2] = 0.084029f;
        val_dir[276*3 + 0] = 0.340503f;	val_dir[276*3 + 1] = -0.936382f;	val_dir[276*3 + 2] = 0.085126f;
        val_dir[277*3 + 0] = 0.366291f;	val_dir[277*3 + 1] = -0.92650f;	val_dir[277*3 + 2] = 0.086186f;
        val_dir[278*3 + 0] = 0.392419f;	val_dir[278*3 + 1] = -0.915644f;	val_dir[278*3 + 2] = 0.087204f;
        val_dir[279*3 + 0] = 0.418823f;	val_dir[279*3 + 1] = -0.903777f;	val_dir[279*3 + 2] = 0.088173f;
        val_dir[280*3 + 0] = 0.445435f;	val_dir[280*3 + 1] = -0.890871f;	val_dir[280*3 + 2] = 0.089087f;
        val_dir[281*3 + 0] = 0.472178f;	val_dir[281*3 + 1] = -0.876903f;	val_dir[281*3 + 2] = 0.089939f;
        val_dir[282*3 + 0] = 0.498970f;	val_dir[282*3 + 1] = -0.861857f;	val_dir[282*3 + 2] = 0.090722f;
        val_dir[283*3 + 0] = 0.525723f;	val_dir[283*3 + 1] = -0.845728f;	val_dir[283*3 + 2] = 0.091430f;
        val_dir[284*3 + 0] = 0.552345f;	val_dir[284*3 + 1] = -0.828517f;	val_dir[284*3 + 2] = 0.092057f;
        val_dir[285*3 + 0] = 0.578741f;	val_dir[285*3 + 1] = -0.810237f;	val_dir[285*3 + 2] = 0.092599f;
        val_dir[286*3 + 0] = 0.604815f;	val_dir[286*3 + 1] = -0.790912f;	val_dir[286*3 + 2] = 0.093048f;
        val_dir[287*3 + 0] = 0.630470f;	val_dir[287*3 + 1] = -0.770574f;	val_dir[287*3 + 2] = 0.093403f;
        val_dir[288*3 + 0] = 0.655610f;	val_dir[288*3 + 1] = -0.749269f;	val_dir[288*3 + 2] = 0.093659f;
        val_dir[289*3 + 0] = 0.680144f;	val_dir[289*3 + 1] = -0.727051f;	val_dir[289*3 + 2] = 0.093813f;
        val_dir[290*3 + 0] = 0.703985f;	val_dir[290*3 + 1] = -0.703985f;	val_dir[290*3 + 2] = 0.093865f;
        val_dir[291*3 + 0] = 0.727051f;	val_dir[291*3 + 1] = -0.680144f;	val_dir[291*3 + 2] = 0.093813f;
        val_dir[292*3 + 0] = 0.749269f;	val_dir[292*3 + 1] = -0.655610f;	val_dir[292*3 + 2] = 0.093659f;
        val_dir[293*3 + 0] = 0.770574f;	val_dir[293*3 + 1] = -0.630470f;	val_dir[293*3 + 2] = 0.093403f;
        val_dir[294*3 + 0] = 0.790912f;	val_dir[294*3 + 1] = -0.604815f;	val_dir[294*3 + 2] = 0.093048f;
        val_dir[295*3 + 0] = 0.810237f;	val_dir[295*3 + 1] = -0.578741f;	val_dir[295*3 + 2] = 0.092599f;
        val_dir[296*3 + 0] = 0.828517f;	val_dir[296*3 + 1] = -0.552345f;	val_dir[296*3 + 2] = 0.092057f;
        val_dir[297*3 + 0] = 0.845728f;	val_dir[297*3 + 1] = -0.525723f;	val_dir[297*3 + 2] = 0.091430f;
        val_dir[298*3 + 0] = 0.861857f;	val_dir[298*3 + 1] = -0.498970f;	val_dir[298*3 + 2] = 0.090722f;
        val_dir[299*3 + 0] = 0.876903f;	val_dir[299*3 + 1] = -0.472178f;	val_dir[299*3 + 2] = 0.089939f;
        val_dir[300*3 + 0] = 0.890871f;	val_dir[300*3 + 1] = -0.445435f;	val_dir[300*3 + 2] = 0.089087f;
        val_dir[301*3 + 0] = 0.903777f;	val_dir[301*3 + 1] = -0.418823f;	val_dir[301*3 + 2] = 0.088173f;
        val_dir[302*3 + 0] = 0.915644f;	val_dir[302*3 + 1] = -0.392419f;	val_dir[302*3 + 2] = 0.087204f;
        val_dir[303*3 + 0] = 0.92650f;	val_dir[303*3 + 1] = -0.366291f;	val_dir[303*3 + 2] = 0.086186f;
        val_dir[304*3 + 0] = 0.936382f;	val_dir[304*3 + 1] = -0.340503f;	val_dir[304*3 + 2] = 0.085126f;
        val_dir[305*3 + 0] = 0.945328f;	val_dir[305*3 + 1] = -0.315109f;	val_dir[305*3 + 2] = 0.084029f;
        val_dir[306*3 + 0] = 0.953381f;	val_dir[306*3 + 1] = -0.290159f;	val_dir[306*3 + 2] = 0.082903f;
        val_dir[307*3 + 0] = 0.960585f;	val_dir[307*3 + 1] = -0.265694f;	val_dir[307*3 + 2] = 0.081752f;
        val_dir[308*3 + 0] = 0.966988f;	val_dir[308*3 + 1] = -0.241747f;	val_dir[308*3 + 2] = 0.080582f;
        val_dir[309*3 + 0] = 0.972636f;	val_dir[309*3 + 1] = -0.218347f;	val_dir[309*3 + 2] = 0.079399f;
        val_dir[310*3 + 0] = 0.977577f;	val_dir[310*3 + 1] = -0.195515f;	val_dir[310*3 + 2] = 0.078206f;
        val_dir[311*3 + 0] = 0.981859f;	val_dir[311*3 + 1] = -0.173269f;	val_dir[311*3 + 2] = 0.077009f;
        val_dir[312*3 + 0] = 0.985527f;	val_dir[312*3 + 1] = -0.151620f;	val_dir[312*3 + 2] = 0.075810f;
        val_dir[313*3 + 0] = 0.988627f;	val_dir[313*3 + 1] = -0.130573f;	val_dir[313*3 + 2] = 0.074613f;
        val_dir[314*3 + 0] = 0.991201f;	val_dir[314*3 + 1] = -0.110133f;	val_dir[314*3 + 2] = 0.073422f;
        val_dir[315*3 + 0] = 0.993291f;	val_dir[315*3 + 1] = -0.090299f;	val_dir[315*3 + 2] = 0.072239f;
        val_dir[316*3 + 0] = 0.994937f;	val_dir[316*3 + 1] = -0.071067f;	val_dir[316*3 + 2] = 0.071067f;
        val_dir[317*3 + 0] = 0.996175f;	val_dir[317*3 + 1] = -0.052430f;	val_dir[317*3 + 2] = 0.069907f;
        val_dir[318*3 + 0] = 0.997041f;	val_dir[318*3 + 1] = -0.034381f;	val_dir[318*3 + 2] = 0.068761f;
        val_dir[319*3 + 0] = 0.997567f;	val_dir[319*3 + 1] = -0.016908f;	val_dir[319*3 + 2] = 0.067632f;
        val_dir[320*3 + 0] = 0.997785f;	val_dir[320*3 + 1] = 0.0f;	val_dir[320*3 + 2] = 0.066519f;
        val_dir[321*3 + 0] = 0.999329f;	val_dir[321*3 + 1] = 0.016382f;	val_dir[321*3 + 2] = 0.032765f;
        val_dir[322*3 + 0] = 0.999480f;	val_dir[322*3 + 1] = 0.032241f;	val_dir[322*3 + 2] = 0.0f;
        val_dir[323*3 + 0] = -0.032765f;	val_dir[323*3 + 1] = -0.999329f;	val_dir[323*3 + 2] = 0.016382f;
        val_dir[324*3 + 0] = -0.016644f;	val_dir[324*3 + 1] = -0.998614f;	val_dir[324*3 + 2] = 0.049931f;
        val_dir[325*3 + 0] = 0.0f;	val_dir[325*3 + 1] = -0.996428f;	val_dir[325*3 + 2] = 0.084443f;
        val_dir[326*3 + 0] = 0.017175f;	val_dir[326*3 + 1] = -0.996158f;	val_dir[326*3 + 2] = 0.085876f;
        val_dir[327*3 + 0] = 0.034932f;	val_dir[327*3 + 1] = -0.995567f;	val_dir[327*3 + 2] = 0.087330f;
        val_dir[328*3 + 0] = 0.053283f;	val_dir[328*3 + 1] = -0.994623f;	val_dir[328*3 + 2] = 0.088806f;
        val_dir[329*3 + 0] = 0.072239f;	val_dir[329*3 + 1] = -0.993291f;	val_dir[329*3 + 2] = 0.090299f;
        val_dir[330*3 + 0] = 0.091809f;	val_dir[330*3 + 1] = -0.991535f;	val_dir[330*3 + 2] = 0.091809f;
        val_dir[331*3 + 0] = 0.111998f;	val_dir[331*3 + 1] = -0.989316f;	val_dir[331*3 + 2] = 0.093332f;
        val_dir[332*3 + 0] = 0.132810f;	val_dir[332*3 + 1] = -0.986591f;	val_dir[332*3 + 2] = 0.094865f;
        val_dir[333*3 + 0] = 0.154246f;	val_dir[333*3 + 1] = -0.983318f;	val_dir[333*3 + 2] = 0.096404f;
        val_dir[334*3 + 0] = 0.176301f;	val_dir[334*3 + 1] = -0.979451f;	val_dir[334*3 + 2] = 0.097945f;
        val_dir[335*3 + 0] = 0.198968f;	val_dir[335*3 + 1] = -0.974943f;	val_dir[335*3 + 2] = 0.099484f;
        val_dir[336*3 + 0] = 0.222234f;	val_dir[336*3 + 1] = -0.969746f;	val_dir[336*3 + 2] = 0.101015f;
        val_dir[337*3 + 0] = 0.246079f;	val_dir[337*3 + 1] = -0.963811f;	val_dir[337*3 + 2] = 0.102533f;
        val_dir[338*3 + 0] = 0.270481f;	val_dir[338*3 + 1] = -0.957088f;	val_dir[338*3 + 2] = 0.104031f;
        val_dir[339*3 + 0] = 0.295409f;	val_dir[339*3 + 1] = -0.949528f;	val_dir[339*3 + 2] = 0.105503f;
        val_dir[340*3 + 0] = 0.320824f;	val_dir[340*3 + 1] = -0.941082f;	val_dir[340*3 + 2] = 0.106941f;
        val_dir[341*3 + 0] = 0.346681f;	val_dir[341*3 + 1] = -0.931705f;	val_dir[341*3 + 2] = 0.108338f;
        val_dir[342*3 + 0] = 0.372929f;	val_dir[342*3 + 1] = -0.921354f;	val_dir[342*3 + 2] = 0.109685f;
        val_dir[343*3 + 0] = 0.399507f;	val_dir[343*3 + 1] = -0.909988f;	val_dir[343*3 + 2] = 0.110974f;
        val_dir[344*3 + 0] = 0.426348f;	val_dir[344*3 + 1] = -0.897574f;	val_dir[344*3 + 2] = 0.112197f;
        val_dir[345*3 + 0] = 0.453376f;	val_dir[345*3 + 1] = -0.884083f;	val_dir[345*3 + 2] = 0.113344f;
        val_dir[346*3 + 0] = 0.480510f;	val_dir[346*3 + 1] = -0.869495f;	val_dir[346*3 + 2] = 0.114407f;
        val_dir[347*3 + 0] = 0.507662f;	val_dir[347*3 + 1] = -0.853796f;	val_dir[347*3 + 2] = 0.115378f;
        val_dir[348*3 + 0] = 0.534739f;	val_dir[348*3 + 1] = -0.836983f;	val_dir[348*3 + 2] = 0.116248f;
        val_dir[349*3 + 0] = 0.561644f;	val_dir[349*3 + 1] = -0.819064f;	val_dir[349*3 + 2] = 0.117009f;
        val_dir[350*3 + 0] = 0.588276f;	val_dir[350*3 + 1] = -0.800055f;	val_dir[350*3 + 2] = 0.117655f;
        val_dir[351*3 + 0] = 0.614535f;	val_dir[351*3 + 1] = -0.779987f;	val_dir[351*3 + 2] = 0.118180f;
        val_dir[352*3 + 0] = 0.640321f;	val_dir[352*3 + 1] = -0.758899f;	val_dir[352*3 + 2] = 0.118578f;
        val_dir[353*3 + 0] = 0.665536f;	val_dir[353*3 + 1] = -0.736843f;	val_dir[353*3 + 2] = 0.118846f;
        val_dir[354*3 + 0] = 0.690085f;	val_dir[354*3 + 1] = -0.713881f;	val_dir[354*3 + 2] = 0.118980f;
        val_dir[355*3 + 0] = 0.713881f;	val_dir[355*3 + 1] = -0.690085f;	val_dir[355*3 + 2] = 0.118980f;
        val_dir[356*3 + 0] = 0.736843f;	val_dir[356*3 + 1] = -0.665536f;	val_dir[356*3 + 2] = 0.118846f;
        val_dir[357*3 + 0] = 0.758899f;	val_dir[357*3 + 1] = -0.640321f;	val_dir[357*3 + 2] = 0.118578f;
        val_dir[358*3 + 0] = 0.779987f;	val_dir[358*3 + 1] = -0.614535f;	val_dir[358*3 + 2] = 0.118180f;
        val_dir[359*3 + 0] = 0.800055f;	val_dir[359*3 + 1] = -0.588276f;	val_dir[359*3 + 2] = 0.117655f;
        val_dir[360*3 + 0] = 0.819064f;	val_dir[360*3 + 1] = -0.561644f;	val_dir[360*3 + 2] = 0.117009f;
        val_dir[361*3 + 0] = 0.836983f;	val_dir[361*3 + 1] = -0.534739f;	val_dir[361*3 + 2] = 0.116248f;
        val_dir[362*3 + 0] = 0.853796f;	val_dir[362*3 + 1] = -0.507662f;	val_dir[362*3 + 2] = 0.115378f;
        val_dir[363*3 + 0] = 0.869495f;	val_dir[363*3 + 1] = -0.480510f;	val_dir[363*3 + 2] = 0.114407f;
        val_dir[364*3 + 0] = 0.884083f;	val_dir[364*3 + 1] = -0.453376f;	val_dir[364*3 + 2] = 0.113344f;
        val_dir[365*3 + 0] = 0.897574f;	val_dir[365*3 + 1] = -0.426348f;	val_dir[365*3 + 2] = 0.112197f;
        val_dir[366*3 + 0] = 0.909988f;	val_dir[366*3 + 1] = -0.399507f;	val_dir[366*3 + 2] = 0.110974f;
        val_dir[367*3 + 0] = 0.921354f;	val_dir[367*3 + 1] = -0.372929f;	val_dir[367*3 + 2] = 0.109685f;
        val_dir[368*3 + 0] = 0.931705f;	val_dir[368*3 + 1] = -0.346681f;	val_dir[368*3 + 2] = 0.108338f;
        val_dir[369*3 + 0] = 0.941082f;	val_dir[369*3 + 1] = -0.320824f;	val_dir[369*3 + 2] = 0.106941f;
        val_dir[370*3 + 0] = 0.949528f;	val_dir[370*3 + 1] = -0.295409f;	val_dir[370*3 + 2] = 0.105503f;
        val_dir[371*3 + 0] = 0.957088f;	val_dir[371*3 + 1] = -0.270481f;	val_dir[371*3 + 2] = 0.104031f;
        val_dir[372*3 + 0] = 0.963811f;	val_dir[372*3 + 1] = -0.246079f;	val_dir[372*3 + 2] = 0.102533f;
        val_dir[373*3 + 0] = 0.969746f;	val_dir[373*3 + 1] = -0.222234f;	val_dir[373*3 + 2] = 0.101015f;
        val_dir[374*3 + 0] = 0.974943f;	val_dir[374*3 + 1] = -0.198968f;	val_dir[374*3 + 2] = 0.099484f;
        val_dir[375*3 + 0] = 0.979451f;	val_dir[375*3 + 1] = -0.176301f;	val_dir[375*3 + 2] = 0.097945f;
        val_dir[376*3 + 0] = 0.983318f;	val_dir[376*3 + 1] = -0.154246f;	val_dir[376*3 + 2] = 0.096404f;
        val_dir[377*3 + 0] = 0.986591f;	val_dir[377*3 + 1] = -0.132810f;	val_dir[377*3 + 2] = 0.094865f;
        val_dir[378*3 + 0] = 0.989316f;	val_dir[378*3 + 1] = -0.111998f;	val_dir[378*3 + 2] = 0.093332f;
        val_dir[379*3 + 0] = 0.991535f;	val_dir[379*3 + 1] = -0.091809f;	val_dir[379*3 + 2] = 0.091809f;
        val_dir[380*3 + 0] = 0.993291f;	val_dir[380*3 + 1] = -0.072239f;	val_dir[380*3 + 2] = 0.090299f;
        val_dir[381*3 + 0] = 0.994623f;	val_dir[381*3 + 1] = -0.053283f;	val_dir[381*3 + 2] = 0.088806f;
        val_dir[382*3 + 0] = 0.995567f;	val_dir[382*3 + 1] = -0.034932f;	val_dir[382*3 + 2] = 0.087330f;
        val_dir[383*3 + 0] = 0.996158f;	val_dir[383*3 + 1] = -0.017175f;	val_dir[383*3 + 2] = 0.085876f;
        val_dir[384*3 + 0] = 0.996428f;	val_dir[384*3 + 1] = 0.0f;	val_dir[384*3 + 2] = 0.084443f;
        val_dir[385*3 + 0] = 0.998614f;	val_dir[385*3 + 1] = 0.016644f;	val_dir[385*3 + 2] = 0.049931f;
        val_dir[386*3 + 0] = 0.999329f;	val_dir[386*3 + 1] = 0.032765f;	val_dir[386*3 + 2] = 0.016382f;
        val_dir[387*3 + 0] = -0.049121f;	val_dir[387*3 + 1] = -0.998793f;	val_dir[387*3 + 2] = 0.0f;
        val_dir[388*3 + 0] = -0.033296f;	val_dir[388*3 + 1] = -0.998891f;	val_dir[388*3 + 2] = 0.033296f;
        val_dir[389*3 + 0] = -0.016908f;	val_dir[389*3 + 1] = -0.997567f;	val_dir[389*3 + 2] = 0.067632f;
        val_dir[390*3 + 0] = 0.0f;	val_dir[390*3 + 1] = -0.994692f;	val_dir[390*3 + 2] = 0.102899f;
        val_dir[391*3 + 0] = 0.017445f;	val_dir[391*3 + 1] = -0.994354f;	val_dir[391*3 + 2] = 0.104669f;
        val_dir[392*3 + 0] = 0.035489f;	val_dir[392*3 + 1] = -0.993683f;	val_dir[392*3 + 2] = 0.106466f;
        val_dir[393*3 + 0] = 0.054144f;	val_dir[393*3 + 1] = -0.992644f;	val_dir[393*3 + 2] = 0.108288f;
        val_dir[394*3 + 0] = 0.073422f;	val_dir[394*3 + 1] = -0.991201f;	val_dir[394*3 + 2] = 0.110133f;
        val_dir[395*3 + 0] = 0.093332f;	val_dir[395*3 + 1] = -0.989316f;	val_dir[395*3 + 2] = 0.111998f;
        val_dir[396*3 + 0] = 0.113878f;	val_dir[396*3 + 1] = -0.986947f;	val_dir[396*3 + 2] = 0.113878f;
        val_dir[397*3 + 0] = 0.135066f;	val_dir[397*3 + 1] = -0.984050f;	val_dir[397*3 + 2] = 0.115771f;
        val_dir[398*3 + 0] = 0.156893f;	val_dir[398*3 + 1] = -0.980581f;	val_dir[398*3 + 2] = 0.117670f;
        val_dir[399*3 + 0] = 0.179355f;	val_dir[399*3 + 1] = -0.976491f;	val_dir[399*3 + 2] = 0.119570f;
        val_dir[400*3 + 0] = 0.202444f;	val_dir[400*3 + 1] = -0.971732f;	val_dir[400*3 + 2] = 0.121466f;
        val_dir[401*3 + 0] = 0.226144f;	val_dir[401*3 + 1] = -0.966252f;	val_dir[401*3 + 2] = 0.123351f;
        val_dir[402*3 + 0] = 0.250435f;	val_dir[402*3 + 1] = -0.960001f;	val_dir[402*3 + 2] = 0.125218f;
        val_dir[403*3 + 0] = 0.275290f;	val_dir[403*3 + 1] = -0.952928f;	val_dir[403*3 + 2] = 0.127057f;
        val_dir[404*3 + 0] = 0.300676f;	val_dir[404*3 + 1] = -0.944981f;	val_dir[404*3 + 2] = 0.128861f;
        val_dir[405*3 + 0] = 0.326550f;	val_dir[405*3 + 1] = -0.936111f;	val_dir[405*3 + 2] = 0.130620f;
        val_dir[406*3 + 0] = 0.352865f;	val_dir[406*3 + 1] = -0.926270f;	val_dir[406*3 + 2] = 0.132324f;
        val_dir[407*3 + 0] = 0.379563f;	val_dir[407*3 + 1] = -0.915416f;	val_dir[407*3 + 2] = 0.133963f;
        val_dir[408*3 + 0] = 0.406579f;	val_dir[408*3 + 1] = -0.903508f;	val_dir[408*3 + 2] = 0.135526f;
        val_dir[409*3 + 0] = 0.433840f;	val_dir[409*3 + 1] = -0.890513f;	val_dir[409*3 + 2] = 0.137002f;
        val_dir[410*3 + 0] = 0.461266f;	val_dir[410*3 + 1] = -0.876405f;	val_dir[410*3 + 2] = 0.138380f;
        val_dir[411*3 + 0] = 0.488769f;	val_dir[411*3 + 1] = -0.861164f;	val_dir[411*3 + 2] = 0.139648f;
        val_dir[412*3 + 0] = 0.516256f;	val_dir[412*3 + 1] = -0.844782f;	val_dir[412*3 + 2] = 0.140797f;
        val_dir[413*3 + 0] = 0.543627f;	val_dir[413*3 + 1] = -0.827259f;	val_dir[413*3 + 2] = 0.141816f;
        val_dir[414*3 + 0] = 0.570782f;	val_dir[414*3 + 1] = -0.808608f;	val_dir[414*3 + 2] = 0.142695f;
        val_dir[415*3 + 0] = 0.597614f;	val_dir[415*3 + 1] = -0.788851f;	val_dir[415*3 + 2] = 0.143427f;
        val_dir[416*3 + 0] = 0.624020f;	val_dir[416*3 + 1] = -0.768025f;	val_dir[416*3 + 2] = 0.144005f;
        val_dir[417*3 + 0] = 0.649895f;	val_dir[417*3 + 1] = -0.746176f;	val_dir[417*3 + 2] = 0.144421f;
        val_dir[418*3 + 0] = 0.675140f;	val_dir[418*3 + 1] = -0.723364f;	val_dir[418*3 + 2] = 0.144673f;
        val_dir[419*3 + 0] = 0.699659f;	val_dir[419*3 + 1] = -0.699659f;	val_dir[419*3 + 2] = 0.144757f;
        val_dir[420*3 + 0] = 0.723364f;	val_dir[420*3 + 1] = -0.675140f;	val_dir[420*3 + 2] = 0.144673f;
        val_dir[421*3 + 0] = 0.746176f;	val_dir[421*3 + 1] = -0.649895f;	val_dir[421*3 + 2] = 0.144421f;
        val_dir[422*3 + 0] = 0.768025f;	val_dir[422*3 + 1] = -0.624020f;	val_dir[422*3 + 2] = 0.144005f;
        val_dir[423*3 + 0] = 0.788851f;	val_dir[423*3 + 1] = -0.597614f;	val_dir[423*3 + 2] = 0.143427f;
        val_dir[424*3 + 0] = 0.808608f;	val_dir[424*3 + 1] = -0.570782f;	val_dir[424*3 + 2] = 0.142695f;
        val_dir[425*3 + 0] = 0.827259f;	val_dir[425*3 + 1] = -0.543627f;	val_dir[425*3 + 2] = 0.141816f;
        val_dir[426*3 + 0] = 0.844782f;	val_dir[426*3 + 1] = -0.516256f;	val_dir[426*3 + 2] = 0.140797f;
        val_dir[427*3 + 0] = 0.861164f;	val_dir[427*3 + 1] = -0.488769f;	val_dir[427*3 + 2] = 0.139648f;
        val_dir[428*3 + 0] = 0.876405f;	val_dir[428*3 + 1] = -0.461266f;	val_dir[428*3 + 2] = 0.138380f;
        val_dir[429*3 + 0] = 0.890513f;	val_dir[429*3 + 1] = -0.433840f;	val_dir[429*3 + 2] = 0.137002f;
        val_dir[430*3 + 0] = 0.903508f;	val_dir[430*3 + 1] = -0.406579f;	val_dir[430*3 + 2] = 0.135526f;
        val_dir[431*3 + 0] = 0.915416f;	val_dir[431*3 + 1] = -0.379563f;	val_dir[431*3 + 2] = 0.133963f;
        val_dir[432*3 + 0] = 0.926270f;	val_dir[432*3 + 1] = -0.352865f;	val_dir[432*3 + 2] = 0.132324f;
        val_dir[433*3 + 0] = 0.936111f;	val_dir[433*3 + 1] = -0.326550f;	val_dir[433*3 + 2] = 0.130620f;
        val_dir[434*3 + 0] = 0.944981f;	val_dir[434*3 + 1] = -0.300676f;	val_dir[434*3 + 2] = 0.128861f;
        val_dir[435*3 + 0] = 0.952928f;	val_dir[435*3 + 1] = -0.275290f;	val_dir[435*3 + 2] = 0.127057f;
        val_dir[436*3 + 0] = 0.960001f;	val_dir[436*3 + 1] = -0.250435f;	val_dir[436*3 + 2] = 0.125218f;
        val_dir[437*3 + 0] = 0.966252f;	val_dir[437*3 + 1] = -0.226144f;	val_dir[437*3 + 2] = 0.123351f;
        val_dir[438*3 + 0] = 0.971732f;	val_dir[438*3 + 1] = -0.202444f;	val_dir[438*3 + 2] = 0.121466f;
        val_dir[439*3 + 0] = 0.976491f;	val_dir[439*3 + 1] = -0.179355f;	val_dir[439*3 + 2] = 0.119570f;
        val_dir[440*3 + 0] = 0.980581f;	val_dir[440*3 + 1] = -0.156893f;	val_dir[440*3 + 2] = 0.117670f;
        val_dir[441*3 + 0] = 0.984050f;	val_dir[441*3 + 1] = -0.135066f;	val_dir[441*3 + 2] = 0.115771f;
        val_dir[442*3 + 0] = 0.986947f;	val_dir[442*3 + 1] = -0.113878f;	val_dir[442*3 + 2] = 0.113878f;
        val_dir[443*3 + 0] = 0.989316f;	val_dir[443*3 + 1] = -0.093332f;	val_dir[443*3 + 2] = 0.111998f;
        val_dir[444*3 + 0] = 0.991201f;	val_dir[444*3 + 1] = -0.073422f;	val_dir[444*3 + 2] = 0.110133f;
        val_dir[445*3 + 0] = 0.992644f;	val_dir[445*3 + 1] = -0.054144f;	val_dir[445*3 + 2] = 0.108288f;
        val_dir[446*3 + 0] = 0.993683f;	val_dir[446*3 + 1] = -0.035489f;	val_dir[446*3 + 2] = 0.106466f;
        val_dir[447*3 + 0] = 0.994354f;	val_dir[447*3 + 1] = -0.017445f;	val_dir[447*3 + 2] = 0.104669f;
        val_dir[448*3 + 0] = 0.994692f;	val_dir[448*3 + 1] = 0.0f;	val_dir[448*3 + 2] = 0.102899f;
        val_dir[449*3 + 0] = 0.997567f;	val_dir[449*3 + 1] = 0.016908f;	val_dir[449*3 + 2] = 0.067632f;
        val_dir[450*3 + 0] = 0.998891f;	val_dir[450*3 + 1] = 0.033296f;	val_dir[450*3 + 2] = 0.033296f;
        val_dir[451*3 + 0] = 0.998793f;	val_dir[451*3 + 1] = 0.049121f;	val_dir[451*3 + 2] = 0.0f;
        val_dir[452*3 + 0] = -0.049931f;	val_dir[452*3 + 1] = -0.998614f;	val_dir[452*3 + 2] = 0.016644f;
        val_dir[453*3 + 0] = -0.033835f;	val_dir[453*3 + 1] = -0.998138f;	val_dir[453*3 + 2] = 0.050753f;
        val_dir[454*3 + 0] = -0.017175f;	val_dir[454*3 + 1] = -0.996158f;	val_dir[454*3 + 2] = 0.085876f;
        val_dir[455*3 + 0] = 0.0f;	val_dir[455*3 + 1] = -0.992543f;	val_dir[455*3 + 2] = 0.121891f;
        val_dir[456*3 + 0] = 0.017716f;	val_dir[456*3 + 1] = -0.992122f;	val_dir[456*3 + 2] = 0.124015f;
        val_dir[457*3 + 0] = 0.036049f;	val_dir[457*3 + 1] = -0.991353f;	val_dir[457*3 + 2] = 0.126172f;
        val_dir[458*3 + 0] = 0.055011f;	val_dir[458*3 + 1] = -0.990201f;	val_dir[458*3 + 2] = 0.128359f;
        val_dir[459*3 + 0] = 0.074613f;	val_dir[459*3 + 1] = -0.988627f;	val_dir[459*3 + 2] = 0.130573f;
        val_dir[460*3 + 0] = 0.094865f;	val_dir[460*3 + 1] = -0.986591f;	val_dir[460*3 + 2] = 0.132810f;
        val_dir[461*3 + 0] = 0.115771f;	val_dir[461*3 + 1] = -0.984050f;	val_dir[461*3 + 2] = 0.135066f;
        val_dir[462*3 + 0] = 0.137334f;	val_dir[462*3 + 1] = -0.980958f;	val_dir[462*3 + 2] = 0.137334f;
        val_dir[463*3 + 0] = 0.159554f;	val_dir[463*3 + 1] = -0.977267f;	val_dir[463*3 + 2] = 0.139610f;
        val_dir[464*3 + 0] = 0.182424f;	val_dir[464*3 + 1] = -0.972929f;	val_dir[464*3 + 2] = 0.141885f;
        val_dir[465*3 + 0] = 0.205934f;	val_dir[465*3 + 1] = -0.967890f;	val_dir[465*3 + 2] = 0.144154f;
        val_dir[466*3 + 0] = 0.230067f;	val_dir[466*3 + 1] = -0.962099f;	val_dir[466*3 + 2] = 0.146406f;
        val_dir[467*3 + 0] = 0.254801f;	val_dir[467*3 + 1] = -0.955502f;	val_dir[467*3 + 2] = 0.148634f;
        val_dir[468*3 + 0] = 0.280105f;	val_dir[468*3 + 1] = -0.948047f;	val_dir[468*3 + 2] = 0.150826f;
        val_dir[469*3 + 0] = 0.305942f;	val_dir[469*3 + 1] = -0.939680f;	val_dir[469*3 + 2] = 0.152971f;
        val_dir[470*3 + 0] = 0.332269f;	val_dir[470*3 + 1] = -0.930352f;	val_dir[470*3 + 2] = 0.155059f;
        val_dir[471*3 + 0] = 0.359030f;	val_dir[471*3 + 1] = -0.920014f;	val_dir[471*3 + 2] = 0.157075f;
        val_dir[472*3 + 0] = 0.386164f;	val_dir[472*3 + 1] = -0.908622f;	val_dir[472*3 + 2] = 0.159009f;
        val_dir[473*3 + 0] = 0.413602f;	val_dir[473*3 + 1] = -0.896137f;	val_dir[473*3 + 2] = 0.160845f;
        val_dir[474*3 + 0] = 0.441264f;	val_dir[474*3 + 1] = -0.882528f;	val_dir[474*3 + 2] = 0.162571f;
        val_dir[475*3 + 0] = 0.469065f;	val_dir[475*3 + 1] = -0.867770f;	val_dir[475*3 + 2] = 0.164173f;
        val_dir[476*3 + 0] = 0.496911f;	val_dir[476*3 + 1] = -0.851847f;	val_dir[476*3 + 2] = 0.165637f;
        val_dir[477*3 + 0] = 0.524703f;	val_dir[477*3 + 1] = -0.834754f;	val_dir[477*3 + 2] = 0.166951f;
        val_dir[478*3 + 0] = 0.552336f;	val_dir[478*3 + 1] = -0.816497f;	val_dir[478*3 + 2] = 0.168102f;
        val_dir[479*3 + 0] = 0.579703f;	val_dir[479*3 + 1] = -0.797092f;	val_dir[479*3 + 2] = 0.169080f;
        val_dir[480*3 + 0] = 0.606696f;	val_dir[480*3 + 1] = -0.776571f;	val_dir[480*3 + 2] = 0.169875f;
        val_dir[481*3 + 0] = 0.633205f;	val_dir[481*3 + 1] = -0.754976f;	val_dir[481*3 + 2] = 0.170478f;
        val_dir[482*3 + 0] = 0.659125f;	val_dir[482*3 + 1] = -0.732361f;	val_dir[482*3 + 2] = 0.170884f;
        val_dir[483*3 + 0] = 0.684353f;	val_dir[483*3 + 1] = -0.708794f;	val_dir[483*3 + 2] = 0.171088f;
        val_dir[484*3 + 0] = 0.708794f;	val_dir[484*3 + 1] = -0.684353f;	val_dir[484*3 + 2] = 0.171088f;
        val_dir[485*3 + 0] = 0.732361f;	val_dir[485*3 + 1] = -0.659125f;	val_dir[485*3 + 2] = 0.170884f;
        val_dir[486*3 + 0] = 0.754976f;	val_dir[486*3 + 1] = -0.633205f;	val_dir[486*3 + 2] = 0.170478f;
        val_dir[487*3 + 0] = 0.776571f;	val_dir[487*3 + 1] = -0.606696f;	val_dir[487*3 + 2] = 0.169875f;
        val_dir[488*3 + 0] = 0.797092f;	val_dir[488*3 + 1] = -0.579703f;	val_dir[488*3 + 2] = 0.169080f;
        val_dir[489*3 + 0] = 0.816497f;	val_dir[489*3 + 1] = -0.552336f;	val_dir[489*3 + 2] = 0.168102f;
        val_dir[490*3 + 0] = 0.834754f;	val_dir[490*3 + 1] = -0.524703f;	val_dir[490*3 + 2] = 0.166951f;
        val_dir[491*3 + 0] = 0.851847f;	val_dir[491*3 + 1] = -0.496911f;	val_dir[491*3 + 2] = 0.165637f;
        val_dir[492*3 + 0] = 0.867770f;	val_dir[492*3 + 1] = -0.469065f;	val_dir[492*3 + 2] = 0.164173f;
        val_dir[493*3 + 0] = 0.882528f;	val_dir[493*3 + 1] = -0.441264f;	val_dir[493*3 + 2] = 0.162571f;
        val_dir[494*3 + 0] = 0.896137f;	val_dir[494*3 + 1] = -0.413602f;	val_dir[494*3 + 2] = 0.160845f;
        val_dir[495*3 + 0] = 0.908622f;	val_dir[495*3 + 1] = -0.386164f;	val_dir[495*3 + 2] = 0.159009f;
        val_dir[496*3 + 0] = 0.920014f;	val_dir[496*3 + 1] = -0.359030f;	val_dir[496*3 + 2] = 0.157075f;
        val_dir[497*3 + 0] = 0.930352f;	val_dir[497*3 + 1] = -0.332269f;	val_dir[497*3 + 2] = 0.155059f;
        val_dir[498*3 + 0] = 0.939680f;	val_dir[498*3 + 1] = -0.305942f;	val_dir[498*3 + 2] = 0.152971f;
        val_dir[499*3 + 0] = 0.948047f;	val_dir[499*3 + 1] = -0.280105f;	val_dir[499*3 + 2] = 0.150826f;
        val_dir[500*3 + 0] = 0.955502f;	val_dir[500*3 + 1] = -0.254801f;	val_dir[500*3 + 2] = 0.148634f;
        val_dir[501*3 + 0] = 0.962099f;	val_dir[501*3 + 1] = -0.230067f;	val_dir[501*3 + 2] = 0.146406f;
        val_dir[502*3 + 0] = 0.967890f;	val_dir[502*3 + 1] = -0.205934f;	val_dir[502*3 + 2] = 0.144154f;
        val_dir[503*3 + 0] = 0.972929f;	val_dir[503*3 + 1] = -0.182424f;	val_dir[503*3 + 2] = 0.141885f;
        val_dir[504*3 + 0] = 0.977267f;	val_dir[504*3 + 1] = -0.159554f;	val_dir[504*3 + 2] = 0.139610f;
        val_dir[505*3 + 0] = 0.980958f;	val_dir[505*3 + 1] = -0.137334f;	val_dir[505*3 + 2] = 0.137334f;
        val_dir[506*3 + 0] = 0.984050f;	val_dir[506*3 + 1] = -0.115771f;	val_dir[506*3 + 2] = 0.135066f;
        val_dir[507*3 + 0] = 0.986591f;	val_dir[507*3 + 1] = -0.094865f;	val_dir[507*3 + 2] = 0.132810f;
        val_dir[508*3 + 0] = 0.988627f;	val_dir[508*3 + 1] = -0.074613f;	val_dir[508*3 + 2] = 0.130573f;
        val_dir[509*3 + 0] = 0.990201f;	val_dir[509*3 + 1] = -0.055011f;	val_dir[509*3 + 2] = 0.128359f;
        val_dir[510*3 + 0] = 0.991353f;	val_dir[510*3 + 1] = -0.036049f;	val_dir[510*3 + 2] = 0.126172f;
        val_dir[511*3 + 0] = 0.992122f;	val_dir[511*3 + 1] = -0.017716f;	val_dir[511*3 + 2] = 0.124015f;
        val_dir[512*3 + 0] = 0.992543f;	val_dir[512*3 + 1] = 0.0f;	val_dir[512*3 + 2] = 0.121891f;
        val_dir[513*3 + 0] = 0.996158f;	val_dir[513*3 + 1] = 0.017175f;	val_dir[513*3 + 2] = 0.085876f;
        val_dir[514*3 + 0] = 0.998138f;	val_dir[514*3 + 1] = 0.033835f;	val_dir[514*3 + 2] = 0.050753f;
        val_dir[515*3 + 0] = 0.998614f;	val_dir[515*3 + 1] = 0.049931f;	val_dir[515*3 + 2] = 0.016644f;
        val_dir[516*3 + 0] = -0.066519f;	val_dir[516*3 + 1] = -0.997785f;	val_dir[516*3 + 2] = 0.0f;
        val_dir[517*3 + 0] = -0.050753f;	val_dir[517*3 + 1] = -0.998138f;	val_dir[517*3 + 2] = 0.033835f;
        val_dir[518*3 + 0] = -0.034381f;	val_dir[518*3 + 1] = -0.997041f;	val_dir[518*3 + 2] = 0.068761f;
        val_dir[519*3 + 0] = -0.017445f;	val_dir[519*3 + 1] = -0.994354f;	val_dir[519*3 + 2] = 0.104669f;
        val_dir[520*3 + 0] = 0.0f;	val_dir[520*3 + 1] = -0.989949f;	val_dir[520*3 + 2] = 0.141421f;
        val_dir[521*3 + 0] = 0.017990f;	val_dir[521*3 + 1] = -0.989426f;	val_dir[521*3 + 2] = 0.143917f;
        val_dir[522*3 + 0] = 0.036613f;	val_dir[522*3 + 1] = -0.988540f;	val_dir[522*3 + 2] = 0.146450f;
        val_dir[523*3 + 0] = 0.055882f;	val_dir[523*3 + 1] = -0.987254f;	val_dir[523*3 + 2] = 0.149019f;
        val_dir[524*3 + 0] = 0.075810f;	val_dir[524*3 + 1] = -0.985527f;	val_dir[524*3 + 2] = 0.151620f;
        val_dir[525*3 + 0] = 0.096404f;	val_dir[525*3 + 1] = -0.983318f;	val_dir[525*3 + 2] = 0.154246f;
        val_dir[526*3 + 0] = 0.117670f;	val_dir[526*3 + 1] = -0.980581f;	val_dir[526*3 + 2] = 0.156893f;
        val_dir[527*3 + 0] = 0.139610f;	val_dir[527*3 + 1] = -0.977267f;	val_dir[527*3 + 2] = 0.159554f;
        val_dir[528*3 + 0] = 0.162221f;	val_dir[528*3 + 1] = -0.973329f;	val_dir[528*3 + 2] = 0.162221f;
        val_dir[529*3 + 0] = 0.185498f;	val_dir[529*3 + 1] = -0.968712f;	val_dir[529*3 + 2] = 0.164887f;
        val_dir[530*3 + 0] = 0.209427f;	val_dir[530*3 + 1] = -0.963364f;	val_dir[530*3 + 2] = 0.167542f;
        val_dir[531*3 + 0] = 0.233990f;	val_dir[531*3 + 1] = -0.957230f;	val_dir[531*3 + 2] = 0.170174f;
        val_dir[532*3 + 0] = 0.259161f;	val_dir[532*3 + 1] = -0.950255f;	val_dir[532*3 + 2] = 0.172774f;
        val_dir[533*3 + 0] = 0.284907f;	val_dir[533*3 + 1] = -0.942384f;	val_dir[533*3 + 2] = 0.175327f;
        val_dir[534*3 + 0] = 0.311188f;	val_dir[534*3 + 1] = -0.933564f;	val_dir[534*3 + 2] = 0.177822f;
        val_dir[535*3 + 0] = 0.337954f;	val_dir[535*3 + 1] = -0.923742f;	val_dir[535*3 + 2] = 0.180242f;
        val_dir[536*3 + 0] = 0.365148f;	val_dir[536*3 + 1] = -0.912871f;	val_dir[536*3 + 2] = 0.182574f;
        val_dir[537*3 + 0] = 0.392703f;	val_dir[537*3 + 1] = -0.900907f;	val_dir[537*3 + 2] = 0.184801f;
        val_dir[538*3 + 0] = 0.420542f;	val_dir[538*3 + 1] = -0.887812f;	val_dir[538*3 + 2] = 0.186908f;
        val_dir[539*3 + 0] = 0.448583f;	val_dir[539*3 + 1] = -0.873555f;	val_dir[539*3 + 2] = 0.188877f;
        val_dir[540*3 + 0] = 0.476731f;	val_dir[540*3 + 1] = -0.858116f;	val_dir[540*3 + 2] = 0.190693f;
        val_dir[541*3 + 0] = 0.504889f;	val_dir[541*3 + 1] = -0.841482f;	val_dir[541*3 + 2] = 0.192339f;
        val_dir[542*3 + 0] = 0.532952f;	val_dir[542*3 + 1] = -0.823653f;	val_dir[542*3 + 2] = 0.193801f;
        val_dir[543*3 + 0] = 0.560809f;	val_dir[543*3 + 1] = -0.804639f;	val_dir[543*3 + 2] = 0.195064f;
        val_dir[544*3 + 0] = 0.588348f;	val_dir[544*3 + 1] = -0.784465f;	val_dir[544*3 + 2] = 0.196116f;
        val_dir[545*3 + 0] = 0.615457f;	val_dir[545*3 + 1] = -0.763167f;	val_dir[545*3 + 2] = 0.196946f;
        val_dir[546*3 + 0] = 0.642024f;	val_dir[546*3 + 1] = -0.740797f;	val_dir[546*3 + 2] = 0.197546f;
        val_dir[547*3 + 0] = 0.667940f;	val_dir[547*3 + 1] = -0.717418f;	val_dir[547*3 + 2] = 0.197908f;
        val_dir[548*3 + 0] = 0.693103f;	val_dir[548*3 + 1] = -0.693103f;	val_dir[548*3 + 2] = 0.198030f;
        val_dir[549*3 + 0] = 0.717418f;	val_dir[549*3 + 1] = -0.667940f;	val_dir[549*3 + 2] = 0.197908f;
        val_dir[550*3 + 0] = 0.740797f;	val_dir[550*3 + 1] = -0.642024f;	val_dir[550*3 + 2] = 0.197546f;
        val_dir[551*3 + 0] = 0.763167f;	val_dir[551*3 + 1] = -0.615457f;	val_dir[551*3 + 2] = 0.196946f;
        val_dir[552*3 + 0] = 0.784465f;	val_dir[552*3 + 1] = -0.588348f;	val_dir[552*3 + 2] = 0.196116f;
        val_dir[553*3 + 0] = 0.804639f;	val_dir[553*3 + 1] = -0.560809f;	val_dir[553*3 + 2] = 0.195064f;
        val_dir[554*3 + 0] = 0.823653f;	val_dir[554*3 + 1] = -0.532952f;	val_dir[554*3 + 2] = 0.193801f;
        val_dir[555*3 + 0] = 0.841482f;	val_dir[555*3 + 1] = -0.504889f;	val_dir[555*3 + 2] = 0.192339f;
        val_dir[556*3 + 0] = 0.858116f;	val_dir[556*3 + 1] = -0.476731f;	val_dir[556*3 + 2] = 0.190693f;
        val_dir[557*3 + 0] = 0.873555f;	val_dir[557*3 + 1] = -0.448583f;	val_dir[557*3 + 2] = 0.188877f;
        val_dir[558*3 + 0] = 0.887812f;	val_dir[558*3 + 1] = -0.420542f;	val_dir[558*3 + 2] = 0.186908f;
        val_dir[559*3 + 0] = 0.900907f;	val_dir[559*3 + 1] = -0.392703f;	val_dir[559*3 + 2] = 0.184801f;
        val_dir[560*3 + 0] = 0.912871f;	val_dir[560*3 + 1] = -0.365148f;	val_dir[560*3 + 2] = 0.182574f;
        val_dir[561*3 + 0] = 0.923742f;	val_dir[561*3 + 1] = -0.337954f;	val_dir[561*3 + 2] = 0.180242f;
        val_dir[562*3 + 0] = 0.933564f;	val_dir[562*3 + 1] = -0.311188f;	val_dir[562*3 + 2] = 0.177822f;
        val_dir[563*3 + 0] = 0.942384f;	val_dir[563*3 + 1] = -0.284907f;	val_dir[563*3 + 2] = 0.175327f;
        val_dir[564*3 + 0] = 0.950255f;	val_dir[564*3 + 1] = -0.259161f;	val_dir[564*3 + 2] = 0.172774f;
        val_dir[565*3 + 0] = 0.957230f;	val_dir[565*3 + 1] = -0.233990f;	val_dir[565*3 + 2] = 0.170174f;
        val_dir[566*3 + 0] = 0.963364f;	val_dir[566*3 + 1] = -0.209427f;	val_dir[566*3 + 2] = 0.167542f;
        val_dir[567*3 + 0] = 0.968712f;	val_dir[567*3 + 1] = -0.185498f;	val_dir[567*3 + 2] = 0.164887f;
        val_dir[568*3 + 0] = 0.973329f;	val_dir[568*3 + 1] = -0.162221f;	val_dir[568*3 + 2] = 0.162221f;
        val_dir[569*3 + 0] = 0.977267f;	val_dir[569*3 + 1] = -0.139610f;	val_dir[569*3 + 2] = 0.159554f;
        val_dir[570*3 + 0] = 0.980581f;	val_dir[570*3 + 1] = -0.117670f;	val_dir[570*3 + 2] = 0.156893f;
        val_dir[571*3 + 0] = 0.983318f;	val_dir[571*3 + 1] = -0.096404f;	val_dir[571*3 + 2] = 0.154246f;
 	val_dir[572*3 + 0] = 0.985527f;	val_dir[572*3 + 1] = -0.075810f;	val_dir[572*3 + 2] = 0.151620f;
 	val_dir[573*3 + 0] = 0.987254f;	val_dir[573*3 + 1] = -0.055882f;	val_dir[573*3 + 2] = 0.149019f;
 	val_dir[574*3 + 0] = 0.988540f;	val_dir[574*3 + 1] = -0.036613f;	val_dir[574*3 + 2] = 0.146450f;
 	val_dir[575*3 + 0] = 0.989426f;	val_dir[575*3 + 1] = -0.017990f;	val_dir[575*3 + 2] = 0.143917f;
 	val_dir[576*3 + 0] = 0.989949f;	val_dir[576*3 + 1] = 0.0f;	val_dir[576*3 + 2] = 0.141421f;
 	val_dir[577*3 + 0] = 0.994354f;	val_dir[577*3 + 1] = 0.017445f;	val_dir[577*3 + 2] = 0.104669f;
 	val_dir[578*3 + 0] = 0.997041f;	val_dir[578*3 + 1] = 0.034381f;	val_dir[578*3 + 2] = 0.068761f;
 	val_dir[579*3 + 0] = 0.998138f;	val_dir[579*3 + 1] = 0.050753f;	val_dir[579*3 + 2] = 0.033835f;
 	val_dir[580*3 + 0] = 0.997785f;	val_dir[580*3 + 1] = 0.066519f;	val_dir[580*3 + 2] = 0.0f;
 	val_dir[581*3 + 0] = -0.067632f;	val_dir[581*3 + 1] = -0.997567f;	val_dir[581*3 + 2] = 0.016908f;
 	val_dir[582*3 + 0] = -0.051586f;	val_dir[582*3 + 1] = -0.997335f;	val_dir[582*3 + 2] = 0.051586f;
 	val_dir[583*3 + 0] = -0.034932f;	val_dir[583*3 + 1] = -0.995567f;	val_dir[583*3 + 2] = 0.087330f;
 	val_dir[584*3 + 0] = -0.017716f;	val_dir[584*3 + 1] = -0.992122f;	val_dir[584*3 + 2] = 0.124015f;
 	val_dir[585*3 + 0] = 0.0f;	val_dir[585*3 + 1] = -0.986875f;	val_dir[585*3 + 2] = 0.161489f;
 	val_dir[586*3 + 0] = 0.018264f;	val_dir[586*3 + 1] = -0.986229f;	val_dir[586*3 + 2] = 0.164372f;
 	val_dir[587*3 + 0] = 0.037178f;	val_dir[587*3 + 1] = -0.985205f;	val_dir[587*3 + 2] = 0.167299f;
 	val_dir[588*3 + 0] = 0.056756f;	val_dir[588*3 + 1] = -0.983762f;	val_dir[588*3 + 2] = 0.170267f;
 	val_dir[589*3 + 0] = 0.077009f;	val_dir[589*3 + 1] = -0.981859f;	val_dir[589*3 + 2] = 0.173269f;
 	val_dir[590*3 + 0] = 0.097945f;	val_dir[590*3 + 1] = -0.979451f;	val_dir[590*3 + 2] = 0.176301f;
 	val_dir[591*3 + 0] = 0.119570f;	val_dir[591*3 + 1] = -0.976491f;	val_dir[591*3 + 2] = 0.179355f;
 	val_dir[592*3 + 0] = 0.141885f;	val_dir[592*3 + 1] = -0.972929f;	val_dir[592*3 + 2] = 0.182424f;
 	val_dir[593*3 + 0] = 0.164887f;	val_dir[593*3 + 1] = -0.968712f;	val_dir[593*3 + 2] = 0.185498f;
 	val_dir[594*3 + 0] = 0.188567f;	val_dir[594*3 + 1] = -0.963787f;	val_dir[594*3 + 2] = 0.188567f;
 	val_dir[595*3 + 0] = 0.212911f;	val_dir[595*3 + 1] = -0.958098f;	val_dir[595*3 + 2] = 0.191620f;
 	val_dir[596*3 + 0] = 0.237897f;	val_dir[596*3 + 1] = -0.951588f;	val_dir[596*3 + 2] = 0.194643f;
 	val_dir[597*3 + 0] = 0.263498f;	val_dir[597*3 + 1] = -0.94420f;	val_dir[597*3 + 2] = 0.197623f;
 	val_dir[598*3 + 0] = 0.289677f;	val_dir[598*3 + 1] = -0.935879f;	val_dir[598*3 + 2] = 0.200545f;
 	val_dir[599*3 + 0] = 0.316389f;	val_dir[599*3 + 1] = -0.926568f;	val_dir[599*3 + 2] = 0.203393f;
 	val_dir[600*3 + 0] = 0.343582f;	val_dir[600*3 + 1] = -0.916217f;	val_dir[600*3 + 2] = 0.206149f;
 	val_dir[601*3 + 0] = 0.371191f;	val_dir[601*3 + 1] = -0.904777f;	val_dir[601*3 + 2] = 0.208795f;
 	val_dir[602*3 + 0] = 0.399145f;	val_dir[602*3 + 1] = -0.892206f;	val_dir[602*3 + 2] = 0.211312f;
 	val_dir[603*3 + 0] = 0.427362f;	val_dir[603*3 + 1] = -0.878466f;	val_dir[603*3 + 2] = 0.213681f;
 	val_dir[604*3 + 0] = 0.455752f;	val_dir[604*3 + 1] = -0.863530f;	val_dir[604*3 + 2] = 0.215883f;
 	val_dir[605*3 + 0] = 0.484217f;	val_dir[605*3 + 1] = -0.847381f;	val_dir[605*3 + 2] = 0.217898f;
 	val_dir[606*3 + 0] = 0.512653f;	val_dir[606*3 + 1] = -0.830009f;	val_dir[606*3 + 2] = 0.219708f;
 	val_dir[607*3 + 0] = 0.540947f;	val_dir[607*3 + 1] = -0.811421f;	val_dir[607*3 + 2] = 0.221297f;
 	val_dir[608*3 + 0] = 0.568986f;	val_dir[608*3 + 1] = -0.791633f;	val_dir[608*3 + 2] = 0.222647f;
 	val_dir[609*3 + 0] = 0.596653f;	val_dir[609*3 + 1] = -0.770677f;	val_dir[609*3 + 2] = 0.223745f;
 	val_dir[610*3 + 0] = 0.623831f;	val_dir[610*3 + 1] = -0.748598f;	val_dir[610*3 + 2] = 0.224579f;
 	val_dir[611*3 + 0] = 0.650407f;	val_dir[611*3 + 1] = -0.725454f;	val_dir[611*3 + 2] = 0.225141f;
 	val_dir[612*3 + 0] = 0.676269f;	val_dir[612*3 + 1] = -0.701316f;	val_dir[612*3 + 2] = 0.225423f;
 	val_dir[613*3 + 0] = 0.701316f;	val_dir[613*3 + 1] = -0.676269f;	val_dir[613*3 + 2] = 0.225423f;
 	val_dir[614*3 + 0] = 0.725454f;	val_dir[614*3 + 1] = -0.650407f;	val_dir[614*3 + 2] = 0.225141f;
 	val_dir[615*3 + 0] = 0.748598f;	val_dir[615*3 + 1] = -0.623831f;	val_dir[615*3 + 2] = 0.224579f;
 	val_dir[616*3 + 0] = 0.770677f;	val_dir[616*3 + 1] = -0.596653f;	val_dir[616*3 + 2] = 0.223745f;
 	val_dir[617*3 + 0] = 0.791633f;	val_dir[617*3 + 1] = -0.568986f;	val_dir[617*3 + 2] = 0.222647f;
 	val_dir[618*3 + 0] = 0.811421f;	val_dir[618*3 + 1] = -0.540947f;	val_dir[618*3 + 2] = 0.221297f;
 	val_dir[619*3 + 0] = 0.830009f;	val_dir[619*3 + 1] = -0.512653f;	val_dir[619*3 + 2] = 0.219708f;
 	val_dir[620*3 + 0] = 0.847381f;	val_dir[620*3 + 1] = -0.484217f;	val_dir[620*3 + 2] = 0.217898f;
 	val_dir[621*3 + 0] = 0.863530f;	val_dir[621*3 + 1] = -0.455752f;	val_dir[621*3 + 2] = 0.215883f;
 	val_dir[622*3 + 0] = 0.878466f;	val_dir[622*3 + 1] = -0.427362f;	val_dir[622*3 + 2] = 0.213681f;
 	val_dir[623*3 + 0] = 0.892206f;	val_dir[623*3 + 1] = -0.399145f;	val_dir[623*3 + 2] = 0.211312f;
 	val_dir[624*3 + 0] = 0.904777f;	val_dir[624*3 + 1] = -0.371191f;	val_dir[624*3 + 2] = 0.208795f;
 	val_dir[625*3 + 0] = 0.916217f;	val_dir[625*3 + 1] = -0.343582f;	val_dir[625*3 + 2] = 0.206149f;
 	val_dir[626*3 + 0] = 0.926568f;	val_dir[626*3 + 1] = -0.316389f;	val_dir[626*3 + 2] = 0.203393f;
 	val_dir[627*3 + 0] = 0.935879f;	val_dir[627*3 + 1] = -0.289677f;	val_dir[627*3 + 2] = 0.200545f;
 	val_dir[628*3 + 0] = 0.94420f;	val_dir[628*3 + 1] = -0.263498f;	val_dir[628*3 + 2] = 0.197623f;
 	val_dir[629*3 + 0] = 0.951588f;	val_dir[629*3 + 1] = -0.237897f;	val_dir[629*3 + 2] = 0.194643f;
 	val_dir[630*3 + 0] = 0.958098f;	val_dir[630*3 + 1] = -0.212911f;	val_dir[630*3 + 2] = 0.191620f;
 	val_dir[631*3 + 0] = 0.963787f;	val_dir[631*3 + 1] = -0.188567f;	val_dir[631*3 + 2] = 0.188567f;
 	val_dir[632*3 + 0] = 0.968712f;	val_dir[632*3 + 1] = -0.164887f;	val_dir[632*3 + 2] = 0.185498f;
 	val_dir[633*3 + 0] = 0.972929f;	val_dir[633*3 + 1] = -0.141885f;	val_dir[633*3 + 2] = 0.182424f;
 	val_dir[634*3 + 0] = 0.976491f;	val_dir[634*3 + 1] = -0.119570f;	val_dir[634*3 + 2] = 0.179355f;
 	val_dir[635*3 + 0] = 0.979451f;	val_dir[635*3 + 1] = -0.097945f;	val_dir[635*3 + 2] = 0.176301f;
 	val_dir[636*3 + 0] = 0.981859f;	val_dir[636*3 + 1] = -0.077009f;	val_dir[636*3 + 2] = 0.173269f;
 	val_dir[637*3 + 0] = 0.983762f;	val_dir[637*3 + 1] = -0.056756f;	val_dir[637*3 + 2] = 0.170267f;
 	val_dir[638*3 + 0] = 0.985205f;	val_dir[638*3 + 1] = -0.037178f;	val_dir[638*3 + 2] = 0.167299f;
 	val_dir[639*3 + 0] = 0.986229f;	val_dir[639*3 + 1] = -0.018264f;	val_dir[639*3 + 2] = 0.164372f;
 	val_dir[640*3 + 0] = 0.986875f;	val_dir[640*3 + 1] = 0.0f;	val_dir[640*3 + 2] = 0.161489f;
 	val_dir[641*3 + 0] = 0.992122f;	val_dir[641*3 + 1] = 0.017716f;	val_dir[641*3 + 2] = 0.124015f;
 	val_dir[642*3 + 0] = 0.995567f;	val_dir[642*3 + 1] = 0.034932f;	val_dir[642*3 + 2] = 0.087330f;
 	val_dir[643*3 + 0] = 0.997335f;	val_dir[643*3 + 1] = 0.051586f;	val_dir[643*3 + 2] = 0.051586f;
 	val_dir[644*3 + 0] = 0.997567f;	val_dir[644*3 + 1] = 0.067632f;	val_dir[644*3 + 2] = 0.016908f;
 	val_dir[645*3 + 0] = -0.084443f;	val_dir[645*3 + 1] = -0.996428f;	val_dir[645*3 + 2] = 0.0f;
 	val_dir[646*3 + 0] = -0.068761f;	val_dir[646*3 + 1] = -0.997041f;	val_dir[646*3 + 2] = 0.034381f;
 	val_dir[647*3 + 0] = -0.052430f;	val_dir[647*3 + 1] = -0.996175f;	val_dir[647*3 + 2] = 0.069907f;
 	val_dir[648*3 + 0] = -0.035489f;	val_dir[648*3 + 1] = -0.993683f;	val_dir[648*3 + 2] = 0.106466f;
 	val_dir[649*3 + 0] = -0.017990f;	val_dir[649*3 + 1] = -0.989426f;	val_dir[649*3 + 2] = 0.143917f;
 	val_dir[650*3 + 0] = 0.0f;	val_dir[650*3 + 1] = -0.983282f;	val_dir[650*3 + 2] = 0.182089f;
 	val_dir[651*3 + 0] = 0.018538f;	val_dir[651*3 + 1] = -0.982493f;	val_dir[651*3 + 2] = 0.185376f;
 	val_dir[652*3 + 0] = 0.037743f;	val_dir[652*3 + 1] = -0.981307f;	val_dir[652*3 + 2] = 0.188713f;
 	val_dir[653*3 + 0] = 0.057628f;	val_dir[653*3 + 1] = -0.979683f;	val_dir[653*3 + 2] = 0.192095f;
 	val_dir[654*3 + 0] = 0.078206f;	val_dir[654*3 + 1] = -0.977577f;	val_dir[654*3 + 2] = 0.195515f;
 	val_dir[655*3 + 0] = 0.099484f;	val_dir[655*3 + 1] = -0.974943f;	val_dir[655*3 + 2] = 0.198968f;
 	val_dir[656*3 + 0] = 0.121466f;	val_dir[656*3 + 1] = -0.971732f;	val_dir[656*3 + 2] = 0.202444f;
 	val_dir[657*3 + 0] = 0.144154f;	val_dir[657*3 + 1] = -0.967890f;	val_dir[657*3 + 2] = 0.205934f;
 	val_dir[658*3 + 0] = 0.167542f;	val_dir[658*3 + 1] = -0.963364f;	val_dir[658*3 + 2] = 0.209427f;
 	val_dir[659*3 + 0] = 0.191620f;	val_dir[659*3 + 1] = -0.958098f;	val_dir[659*3 + 2] = 0.212911f;
 	val_dir[660*3 + 0] = 0.216371f;	val_dir[660*3 + 1] = -0.952033f;	val_dir[660*3 + 2] = 0.216371f;
 	val_dir[661*3 + 0] = 0.241773f;	val_dir[661*3 + 1] = -0.945112f;	val_dir[661*3 + 2] = 0.219793f;
 	val_dir[662*3 + 0] = 0.267793f;	val_dir[662*3 + 1] = -0.937276f;	val_dir[662*3 + 2] = 0.223161f;
 	val_dir[663*3 + 0] = 0.294392f;	val_dir[663*3 + 1] = -0.928467f;	val_dir[663*3 + 2] = 0.226455f;
 	val_dir[664*3 + 0] = 0.321521f;	val_dir[664*3 + 1] = -0.918630f;	val_dir[664*3 + 2] = 0.229658f;
 	val_dir[665*3 + 0] = 0.349121f;	val_dir[665*3 + 1] = -0.907713f;	val_dir[665*3 + 2] = 0.232747f;
 	val_dir[666*3 + 0] = 0.377124f;	val_dir[666*3 + 1] = -0.895669f;	val_dir[666*3 + 2] = 0.235702f;
 	val_dir[667*3 + 0] = 0.405452f;	val_dir[667*3 + 1] = -0.882454f;	val_dir[667*3 + 2] = 0.238501f;
 	val_dir[668*3 + 0] = 0.434019f;	val_dir[668*3 + 1] = -0.868037f;	val_dir[668*3 + 2] = 0.241121f;
 	val_dir[669*3 + 0] = 0.462727f;	val_dir[669*3 + 1] = -0.852392f;	val_dir[669*3 + 2] = 0.243541f;
 	val_dir[670*3 + 0] = 0.491473f;	val_dir[670*3 + 1] = -0.835504f;	val_dir[670*3 + 2] = 0.245737f;
 	val_dir[671*3 + 0] = 0.520146f;	val_dir[671*3 + 1] = -0.817373f;	val_dir[671*3 + 2] = 0.247689f;
 	val_dir[672*3 + 0] = 0.548630f;	val_dir[672*3 + 1] = -0.798007f;	val_dir[672*3 + 2] = 0.249377f;
 	val_dir[673*3 + 0] = 0.576805f;	val_dir[673*3 + 1] = -0.777433f;	val_dir[673*3 + 2] = 0.250785f;
 	val_dir[674*3 + 0] = 0.604551f;	val_dir[674*3 + 1] = -0.755689f;	val_dir[674*3 + 2] = 0.251896f;
 	val_dir[675*3 + 0] = 0.631748f;	val_dir[675*3 + 1] = -0.732828f;	val_dir[675*3 + 2] = 0.252699f;
 	val_dir[676*3 + 0] = 0.658281f;	val_dir[676*3 + 1] = -0.708918f;	val_dir[676*3 + 2] = 0.253185f;
 	val_dir[677*3 + 0] = 0.684038f;	val_dir[677*3 + 1] = -0.684038f;	val_dir[677*3 + 2] = 0.253347f;
 	val_dir[678*3 + 0] = 0.708918f;	val_dir[678*3 + 1] = -0.658281f;	val_dir[678*3 + 2] = 0.253185f;
 	val_dir[679*3 + 0] = 0.732828f;	val_dir[679*3 + 1] = -0.631748f;	val_dir[679*3 + 2] = 0.252699f;
 	val_dir[680*3 + 0] = 0.755689f;	val_dir[680*3 + 1] = -0.604551f;	val_dir[680*3 + 2] = 0.251896f;
 	val_dir[681*3 + 0] = 0.777433f;	val_dir[681*3 + 1] = -0.576805f;	val_dir[681*3 + 2] = 0.250785f;
 	val_dir[682*3 + 0] = 0.798007f;	val_dir[682*3 + 1] = -0.548630f;	val_dir[682*3 + 2] = 0.249377f;
 	val_dir[683*3 + 0] = 0.817373f;	val_dir[683*3 + 1] = -0.520146f;	val_dir[683*3 + 2] = 0.247689f;
 	val_dir[684*3 + 0] = 0.835504f;	val_dir[684*3 + 1] = -0.491473f;	val_dir[684*3 + 2] = 0.245737f;
 	val_dir[685*3 + 0] = 0.852392f;	val_dir[685*3 + 1] = -0.462727f;	val_dir[685*3 + 2] = 0.243541f;
 	val_dir[686*3 + 0] = 0.868037f;	val_dir[686*3 + 1] = -0.434019f;	val_dir[686*3 + 2] = 0.241121f;
 	val_dir[687*3 + 0] = 0.882454f;	val_dir[687*3 + 1] = -0.405452f;	val_dir[687*3 + 2] = 0.238501f;
 	val_dir[688*3 + 0] = 0.895669f;	val_dir[688*3 + 1] = -0.377124f;	val_dir[688*3 + 2] = 0.235702f;
 	val_dir[689*3 + 0] = 0.907713f;	val_dir[689*3 + 1] = -0.349121f;	val_dir[689*3 + 2] = 0.232747f;
 	val_dir[690*3 + 0] = 0.918630f;	val_dir[690*3 + 1] = -0.321521f;	val_dir[690*3 + 2] = 0.229658f;
 	val_dir[691*3 + 0] = 0.928467f;	val_dir[691*3 + 1] = -0.294392f;	val_dir[691*3 + 2] = 0.226455f;
 	val_dir[692*3 + 0] = 0.937276f;	val_dir[692*3 + 1] = -0.267793f;	val_dir[692*3 + 2] = 0.223161f;
 	val_dir[693*3 + 0] = 0.945112f;	val_dir[693*3 + 1] = -0.241773f;	val_dir[693*3 + 2] = 0.219793f;
 	val_dir[694*3 + 0] = 0.952033f;	val_dir[694*3 + 1] = -0.216371f;	val_dir[694*3 + 2] = 0.216371f;
 	val_dir[695*3 + 0] = 0.958098f;	val_dir[695*3 + 1] = -0.191620f;	val_dir[695*3 + 2] = 0.212911f;
 	val_dir[696*3 + 0] = 0.963364f;	val_dir[696*3 + 1] = -0.167542f;	val_dir[696*3 + 2] = 0.209427f;
 	val_dir[697*3 + 0] = 0.967890f;	val_dir[697*3 + 1] = -0.144154f;	val_dir[697*3 + 2] = 0.205934f;
 	val_dir[698*3 + 0] = 0.971732f;	val_dir[698*3 + 1] = -0.121466f;	val_dir[698*3 + 2] = 0.202444f;
 	val_dir[699*3 + 0] = 0.974943f;	val_dir[699*3 + 1] = -0.099484f;	val_dir[699*3 + 2] = 0.198968f;
 	val_dir[700*3 + 0] = 0.977577f;	val_dir[700*3 + 1] = -0.078206f;	val_dir[700*3 + 2] = 0.195515f;
 	val_dir[701*3 + 0] = 0.979683f;	val_dir[701*3 + 1] = -0.057628f;	val_dir[701*3 + 2] = 0.192095f;
 	val_dir[702*3 + 0] = 0.981307f;	val_dir[702*3 + 1] = -0.037743f;	val_dir[702*3 + 2] = 0.188713f;
 	val_dir[703*3 + 0] = 0.982493f;	val_dir[703*3 + 1] = -0.018538f;	val_dir[703*3 + 2] = 0.185376f;
 	val_dir[704*3 + 0] = 0.983282f;	val_dir[704*3 + 1] = 0.0f;	val_dir[704*3 + 2] = 0.182089f;
 	val_dir[705*3 + 0] = 0.989426f;	val_dir[705*3 + 1] = 0.017990f;	val_dir[705*3 + 2] = 0.143917f;
 	val_dir[706*3 + 0] = 0.993683f;	val_dir[706*3 + 1] = 0.035489f;	val_dir[706*3 + 2] = 0.106466f;
 	val_dir[707*3 + 0] = 0.996175f;	val_dir[707*3 + 1] = 0.052430f;	val_dir[707*3 + 2] = 0.069907f;
 	val_dir[708*3 + 0] = 0.997041f;	val_dir[708*3 + 1] = 0.068761f;	val_dir[708*3 + 2] = 0.034381f;
 	val_dir[709*3 + 0] = 0.996428f;	val_dir[709*3 + 1] = 0.084443f;	val_dir[709*3 + 2] = 0.0f;
 	val_dir[710*3 + 0] = -0.085876f;	val_dir[710*3 + 1] = -0.996158f;	val_dir[710*3 + 2] = 0.017175f;
 	val_dir[711*3 + 0] = -0.069907f;	val_dir[711*3 + 1] = -0.996175f;	val_dir[711*3 + 2] = 0.052430f;
 	val_dir[712*3 + 0] = -0.053283f;	val_dir[712*3 + 1] = -0.994623f;	val_dir[712*3 + 2] = 0.088806f;
 	val_dir[713*3 + 0] = -0.036049f;	val_dir[713*3 + 1] = -0.991353f;	val_dir[713*3 + 2] = 0.126172f;
 	val_dir[714*3 + 0] = -0.018264f;	val_dir[714*3 + 1] = -0.986229f;	val_dir[714*3 + 2] = 0.164372f;
 	val_dir[715*3 + 0] = 0.0f;	val_dir[715*3 + 1] = -0.979134f;	val_dir[715*3 + 2] = 0.203216f;
 	val_dir[716*3 + 0] = 0.018811f;	val_dir[716*3 + 1] = -0.978177f;	val_dir[716*3 + 2] = 0.206922f;
 	val_dir[717*3 + 0] = 0.038306f;	val_dir[717*3 + 1] = -0.976804f;	val_dir[717*3 + 2] = 0.210683f;
 	val_dir[718*3 + 0] = 0.058498f;	val_dir[718*3 + 1] = -0.974972f;	val_dir[718*3 + 2] = 0.214494f;
 	val_dir[719*3 + 0] = 0.079399f;	val_dir[719*3 + 1] = -0.972636f;	val_dir[719*3 + 2] = 0.218347f;
 	val_dir[720*3 + 0] = 0.101015f;	val_dir[720*3 + 1] = -0.969746f;	val_dir[720*3 + 2] = 0.222234f;
 	val_dir[721*3 + 0] = 0.123351f;	val_dir[721*3 + 1] = -0.966252f;	val_dir[721*3 + 2] = 0.226144f;
 	val_dir[722*3 + 0] = 0.146406f;	val_dir[722*3 + 1] = -0.962099f;	val_dir[722*3 + 2] = 0.230067f;
 	val_dir[723*3 + 0] = 0.170174f;	val_dir[723*3 + 1] = -0.957230f;	val_dir[723*3 + 2] = 0.233990f;
 	val_dir[724*3 + 0] = 0.194643f;	val_dir[724*3 + 1] = -0.951588f;	val_dir[724*3 + 2] = 0.237897f;
 	val_dir[725*3 + 0] = 0.219793f;	val_dir[725*3 + 1] = -0.945112f;	val_dir[725*3 + 2] = 0.241773f;
 	val_dir[726*3 + 0] = 0.245599f;	val_dir[726*3 + 1] = -0.937743f;	val_dir[726*3 + 2] = 0.245599f;
 	val_dir[727*3 + 0] = 0.272026f;	val_dir[727*3 + 1] = -0.929421f;	val_dir[727*3 + 2] = 0.249357f;
 	val_dir[728*3 + 0] = 0.299028f;	val_dir[728*3 + 1] = -0.920087f;	val_dir[728*3 + 2] = 0.253024f;
 	val_dir[729*3 + 0] = 0.326554f;	val_dir[729*3 + 1] = -0.909687f;	val_dir[729*3 + 2] = 0.256578f;
 	val_dir[730*3 + 0] = 0.354540f;	val_dir[730*3 + 1] = -0.898167f;	val_dir[730*3 + 2] = 0.259996f;
 	val_dir[731*3 + 0] = 0.382911f;	val_dir[731*3 + 1] = -0.885482f;	val_dir[731*3 + 2] = 0.263251f;
 	val_dir[732*3 + 0] = 0.411585f;	val_dir[732*3 + 1] = -0.871592f;	val_dir[732*3 + 2] = 0.266320f;
 	val_dir[733*3 + 0] = 0.440468f;	val_dir[733*3 + 1] = -0.856465f;	val_dir[733*3 + 2] = 0.269175f;
 	val_dir[734*3 + 0] = 0.469458f;	val_dir[734*3 + 1] = -0.840083f;	val_dir[734*3 + 2] = 0.271791f;
 	val_dir[735*3 + 0] = 0.498445f;	val_dir[735*3 + 1] = -0.822434f;	val_dir[735*3 + 2] = 0.274145f;
 	val_dir[736*3 + 0] = 0.527312f;	val_dir[736*3 + 1] = -0.803523f;	val_dir[736*3 + 2] = 0.276211f;
 	val_dir[737*3 + 0] = 0.555939f;	val_dir[737*3 + 1] = -0.783368f;	val_dir[737*3 + 2] = 0.277969f;
 	val_dir[738*3 + 0] = 0.584201f;	val_dir[738*3 + 1] = -0.762001f;	val_dir[738*3 + 2] = 0.27940f;
 	val_dir[739*3 + 0] = 0.611974f;	val_dir[739*3 + 1] = -0.739469f;	val_dir[739*3 + 2] = 0.280488f;
 	val_dir[740*3 + 0] = 0.639138f;	val_dir[740*3 + 1] = -0.715834f;	val_dir[740*3 + 2] = 0.281220f;
 	val_dir[741*3 + 0] = 0.665574f;	val_dir[741*3 + 1] = -0.691173f;	val_dir[741*3 + 2] = 0.281589f;
 	val_dir[742*3 + 0] = 0.691173f;	val_dir[742*3 + 1] = -0.665574f;	val_dir[742*3 + 2] = 0.281589f;
 	val_dir[743*3 + 0] = 0.715834f;	val_dir[743*3 + 1] = -0.639138f;	val_dir[743*3 + 2] = 0.281220f;
 	val_dir[744*3 + 0] = 0.739469f;	val_dir[744*3 + 1] = -0.611974f;	val_dir[744*3 + 2] = 0.280488f;
 	val_dir[745*3 + 0] = 0.762001f;	val_dir[745*3 + 1] = -0.584201f;	val_dir[745*3 + 2] = 0.27940f;
 	val_dir[746*3 + 0] = 0.783368f;	val_dir[746*3 + 1] = -0.555939f;	val_dir[746*3 + 2] = 0.277969f;
 	val_dir[747*3 + 0] = 0.803523f;	val_dir[747*3 + 1] = -0.527312f;	val_dir[747*3 + 2] = 0.276211f;
 	val_dir[748*3 + 0] = 0.822434f;	val_dir[748*3 + 1] = -0.498445f;	val_dir[748*3 + 2] = 0.274145f;
 	val_dir[749*3 + 0] = 0.840083f;	val_dir[749*3 + 1] = -0.469458f;	val_dir[749*3 + 2] = 0.271791f;
 	val_dir[750*3 + 0] = 0.856465f;	val_dir[750*3 + 1] = -0.440468f;	val_dir[750*3 + 2] = 0.269175f;
 	val_dir[751*3 + 0] = 0.871592f;	val_dir[751*3 + 1] = -0.411585f;	val_dir[751*3 + 2] = 0.266320f;
 	val_dir[752*3 + 0] = 0.885482f;	val_dir[752*3 + 1] = -0.382911f;	val_dir[752*3 + 2] = 0.263251f;
 	val_dir[753*3 + 0] = 0.898167f;	val_dir[753*3 + 1] = -0.354540f;	val_dir[753*3 + 2] = 0.259996f;
 	val_dir[754*3 + 0] = 0.909687f;	val_dir[754*3 + 1] = -0.326554f;	val_dir[754*3 + 2] = 0.256578f;
 	val_dir[755*3 + 0] = 0.920087f;	val_dir[755*3 + 1] = -0.299028f;	val_dir[755*3 + 2] = 0.253024f;
 	val_dir[756*3 + 0] = 0.929421f;	val_dir[756*3 + 1] = -0.272026f;	val_dir[756*3 + 2] = 0.249357f;
 	val_dir[757*3 + 0] = 0.937743f;	val_dir[757*3 + 1] = -0.245599f;	val_dir[757*3 + 2] = 0.245599f;
 	val_dir[758*3 + 0] = 0.945112f;	val_dir[758*3 + 1] = -0.219793f;	val_dir[758*3 + 2] = 0.241773f;
 	val_dir[759*3 + 0] = 0.951588f;	val_dir[759*3 + 1] = -0.194643f;	val_dir[759*3 + 2] = 0.237897f;
 	val_dir[760*3 + 0] = 0.957230f;	val_dir[760*3 + 1] = -0.170174f;	val_dir[760*3 + 2] = 0.233990f;
 	val_dir[761*3 + 0] = 0.962099f;	val_dir[761*3 + 1] = -0.146406f;	val_dir[761*3 + 2] = 0.230067f;
 	val_dir[762*3 + 0] = 0.966252f;	val_dir[762*3 + 1] = -0.123351f;	val_dir[762*3 + 2] = 0.226144f;
 	val_dir[763*3 + 0] = 0.969746f;	val_dir[763*3 + 1] = -0.101015f;	val_dir[763*3 + 2] = 0.222234f;
 	val_dir[764*3 + 0] = 0.972636f;	val_dir[764*3 + 1] = -0.079399f;	val_dir[764*3 + 2] = 0.218347f;
 	val_dir[765*3 + 0] = 0.974972f;	val_dir[765*3 + 1] = -0.058498f;	val_dir[765*3 + 2] = 0.214494f;
 	val_dir[766*3 + 0] = 0.976804f;	val_dir[766*3 + 1] = -0.038306f;	val_dir[766*3 + 2] = 0.210683f;
 	val_dir[767*3 + 0] = 0.978177f;	val_dir[767*3 + 1] = -0.018811f;	val_dir[767*3 + 2] = 0.206922f;
 	val_dir[768*3 + 0] = 0.979134f;	val_dir[768*3 + 1] = 0.0f;	val_dir[768*3 + 2] = 0.203216f;
 	val_dir[769*3 + 0] = 0.986229f;	val_dir[769*3 + 1] = 0.018264f;	val_dir[769*3 + 2] = 0.164372f;
 	val_dir[770*3 + 0] = 0.991353f;	val_dir[770*3 + 1] = 0.036049f;	val_dir[770*3 + 2] = 0.126172f;
 	val_dir[771*3 + 0] = 0.994623f;	val_dir[771*3 + 1] = 0.053283f;	val_dir[771*3 + 2] = 0.088806f;
 	val_dir[772*3 + 0] = 0.996175f;	val_dir[772*3 + 1] = 0.069907f;	val_dir[772*3 + 2] = 0.052430f;
 	val_dir[773*3 + 0] = 0.996158f;	val_dir[773*3 + 1] = 0.085876f;	val_dir[773*3 + 2] = 0.017175f;
 	val_dir[774*3 + 0] = -0.102899f;	val_dir[774*3 + 1] = -0.994692f;	val_dir[774*3 + 2] = 0.0f;
 	val_dir[775*3 + 0] = -0.087330f;	val_dir[775*3 + 1] = -0.995567f;	val_dir[775*3 + 2] = 0.034932f;
 	val_dir[776*3 + 0] = -0.071067f;	val_dir[776*3 + 1] = -0.994937f;	val_dir[776*3 + 2] = 0.071067f;
 	val_dir[777*3 + 0] = -0.054144f;	val_dir[777*3 + 1] = -0.992644f;	val_dir[777*3 + 2] = 0.108288f;
 	val_dir[778*3 + 0] = -0.036613f;	val_dir[778*3 + 1] = -0.988540f;	val_dir[778*3 + 2] = 0.146450f;
 	val_dir[779*3 + 0] = -0.018538f;	val_dir[779*3 + 1] = -0.982493f;	val_dir[779*3 + 2] = 0.185376f;
 	val_dir[780*3 + 0] = 0.0f;	val_dir[780*3 + 1] = -0.974391f;	val_dir[780*3 + 2] = 0.224860f;
 	val_dir[781*3 + 0] = 0.019083f;	val_dir[781*3 + 1] = -0.973240f;	val_dir[781*3 + 2] = 0.228998f;
 	val_dir[782*3 + 0] = 0.038866f;	val_dir[782*3 + 1] = -0.971653f;	val_dir[782*3 + 2] = 0.233197f;
 	val_dir[783*3 + 0] = 0.059362f;	val_dir[783*3 + 1] = -0.969584f;	val_dir[783*3 + 2] = 0.237449f;
 	val_dir[784*3 + 0] = 0.080582f;	val_dir[784*3 + 1] = -0.966988f;	val_dir[784*3 + 2] = 0.241747f;
 	val_dir[785*3 + 0] = 0.102533f;	val_dir[785*3 + 1] = -0.963811f;	val_dir[785*3 + 2] = 0.246079f;
 	val_dir[786*3 + 0] = 0.125218f;	val_dir[786*3 + 1] = -0.960001f;	val_dir[786*3 + 2] = 0.250435f;
 	val_dir[787*3 + 0] = 0.148634f;	val_dir[787*3 + 1] = -0.955502f;	val_dir[787*3 + 2] = 0.254801f;
 	val_dir[788*3 + 0] = 0.172774f;	val_dir[788*3 + 1] = -0.950255f;	val_dir[788*3 + 2] = 0.259161f;
 	val_dir[789*3 + 0] = 0.197623f;	val_dir[789*3 + 1] = -0.94420f;	val_dir[789*3 + 2] = 0.263498f;
 	val_dir[790*3 + 0] = 0.223161f;	val_dir[790*3 + 1] = -0.937276f;	val_dir[790*3 + 2] = 0.267793f;
 	val_dir[791*3 + 0] = 0.249357f;	val_dir[791*3 + 1] = -0.929421f;	val_dir[791*3 + 2] = 0.272026f;
 	val_dir[792*3 + 0] = 0.276172f;	val_dir[792*3 + 1] = -0.920575f;	val_dir[792*3 + 2] = 0.276172f;
 	val_dir[793*3 + 0] = 0.303559f;	val_dir[793*3 + 1] = -0.910678f;	val_dir[793*3 + 2] = 0.280209f;
 	val_dir[794*3 + 0] = 0.331460f;	val_dir[794*3 + 1] = -0.899676f;	val_dir[794*3 + 2] = 0.284108f;
 	val_dir[795*3 + 0] = 0.359804f;	val_dir[795*3 + 1] = -0.887517f;	val_dir[795*3 + 2] = 0.287843f;
 	val_dir[796*3 + 0] = 0.388514f;	val_dir[796*3 + 1] = -0.874157f;	val_dir[796*3 + 2] = 0.291386f;
 	val_dir[797*3 + 0] = 0.41750f;	val_dir[797*3 + 1] = -0.859559f;	val_dir[797*3 + 2] = 0.294706f;
 	val_dir[798*3 + 0] = 0.446662f;	val_dir[798*3 + 1] = -0.843696f;	val_dir[798*3 + 2] = 0.297775f;
 	val_dir[799*3 + 0] = 0.475893f;	val_dir[799*3 + 1] = -0.826551f;	val_dir[799*3 + 2] = 0.300564f;
 	val_dir[800*3 + 0] = 0.505076f;	val_dir[800*3 + 1] = -0.808122f;	val_dir[800*3 + 2] = 0.303046f;
 	val_dir[801*3 + 0] = 0.534090f;	val_dir[801*3 + 1] = -0.788419f;	val_dir[801*3 + 2] = 0.305194f;
 	val_dir[802*3 + 0] = 0.562809f;	val_dir[802*3 + 1] = -0.767467f;	val_dir[802*3 + 2] = 0.306987f;
 	val_dir[803*3 + 0] = 0.591105f;	val_dir[803*3 + 1] = -0.745307f;	val_dir[803*3 + 2] = 0.308403f;
 	val_dir[804*3 + 0] = 0.618853f;	val_dir[804*3 + 1] = -0.721995f;	val_dir[804*3 + 2] = 0.309426f;
 	val_dir[805*3 + 0] = 0.645928f;	val_dir[805*3 + 1] = -0.697602f;	val_dir[805*3 + 2] = 0.310045f;
 	val_dir[806*3 + 0] = 0.672214f;	val_dir[806*3 + 1] = -0.672214f;	val_dir[806*3 + 2] = 0.310253f;
 	val_dir[807*3 + 0] = 0.697602f;	val_dir[807*3 + 1] = -0.645928f;	val_dir[807*3 + 2] = 0.310045f;
 	val_dir[808*3 + 0] = 0.721995f;	val_dir[808*3 + 1] = -0.618853f;	val_dir[808*3 + 2] = 0.309426f;
 	val_dir[809*3 + 0] = 0.745307f;	val_dir[809*3 + 1] = -0.591105f;	val_dir[809*3 + 2] = 0.308403f;
 	val_dir[810*3 + 0] = 0.767467f;	val_dir[810*3 + 1] = -0.562809f;	val_dir[810*3 + 2] = 0.306987f;
 	val_dir[811*3 + 0] = 0.788419f;	val_dir[811*3 + 1] = -0.534090f;	val_dir[811*3 + 2] = 0.305194f;
 	val_dir[812*3 + 0] = 0.808122f;	val_dir[812*3 + 1] = -0.505076f;	val_dir[812*3 + 2] = 0.303046f;
 	val_dir[813*3 + 0] = 0.826551f;	val_dir[813*3 + 1] = -0.475893f;	val_dir[813*3 + 2] = 0.300564f;
 	val_dir[814*3 + 0] = 0.843696f;	val_dir[814*3 + 1] = -0.446662f;	val_dir[814*3 + 2] = 0.297775f;
 	val_dir[815*3 + 0] = 0.859559f;	val_dir[815*3 + 1] = -0.41750f;	val_dir[815*3 + 2] = 0.294706f;
 	val_dir[816*3 + 0] = 0.874157f;	val_dir[816*3 + 1] = -0.388514f;	val_dir[816*3 + 2] = 0.291386f;
 	val_dir[817*3 + 0] = 0.887517f;	val_dir[817*3 + 1] = -0.359804f;	val_dir[817*3 + 2] = 0.287843f;
 	val_dir[818*3 + 0] = 0.899676f;	val_dir[818*3 + 1] = -0.331460f;	val_dir[818*3 + 2] = 0.284108f;
 	val_dir[819*3 + 0] = 0.910678f;	val_dir[819*3 + 1] = -0.303559f;	val_dir[819*3 + 2] = 0.280209f;
 	val_dir[820*3 + 0] = 0.920575f;	val_dir[820*3 + 1] = -0.276172f;	val_dir[820*3 + 2] = 0.276172f;
 	val_dir[821*3 + 0] = 0.929421f;	val_dir[821*3 + 1] = -0.249357f;	val_dir[821*3 + 2] = 0.272026f;
 	val_dir[822*3 + 0] = 0.937276f;	val_dir[822*3 + 1] = -0.223161f;	val_dir[822*3 + 2] = 0.267793f;
 	val_dir[823*3 + 0] = 0.94420f;	val_dir[823*3 + 1] = -0.197623f;	val_dir[823*3 + 2] = 0.263498f;
 	val_dir[824*3 + 0] = 0.950255f;	val_dir[824*3 + 1] = -0.172774f;	val_dir[824*3 + 2] = 0.259161f;
 	val_dir[825*3 + 0] = 0.955502f;	val_dir[825*3 + 1] = -0.148634f;	val_dir[825*3 + 2] = 0.254801f;
 	val_dir[826*3 + 0] = 0.960001f;	val_dir[826*3 + 1] = -0.125218f;	val_dir[826*3 + 2] = 0.250435f;
 	val_dir[827*3 + 0] = 0.963811f;	val_dir[827*3 + 1] = -0.102533f;	val_dir[827*3 + 2] = 0.246079f;
 	val_dir[828*3 + 0] = 0.966988f;	val_dir[828*3 + 1] = -0.080582f;	val_dir[828*3 + 2] = 0.241747f;
 	val_dir[829*3 + 0] = 0.969584f;	val_dir[829*3 + 1] = -0.059362f;	val_dir[829*3 + 2] = 0.237449f;
 	val_dir[830*3 + 0] = 0.971653f;	val_dir[830*3 + 1] = -0.038866f;	val_dir[830*3 + 2] = 0.233197f;
 	val_dir[831*3 + 0] = 0.973240f;	val_dir[831*3 + 1] = -0.019083f;	val_dir[831*3 + 2] = 0.228998f;
 	val_dir[832*3 + 0] = 0.974391f;	val_dir[832*3 + 1] = 0.0f;	val_dir[832*3 + 2] = 0.224860f;
 	val_dir[833*3 + 0] = 0.982493f;	val_dir[833*3 + 1] = 0.018538f;	val_dir[833*3 + 2] = 0.185376f;
 	val_dir[834*3 + 0] = 0.988540f;	val_dir[834*3 + 1] = 0.036613f;	val_dir[834*3 + 2] = 0.146450f;
 	val_dir[835*3 + 0] = 0.992644f;	val_dir[835*3 + 1] = 0.054144f;	val_dir[835*3 + 2] = 0.108288f;
 	val_dir[836*3 + 0] = 0.994937f;	val_dir[836*3 + 1] = 0.071067f;	val_dir[836*3 + 2] = 0.071067f;
 	val_dir[837*3 + 0] = 0.995567f;	val_dir[837*3 + 1] = 0.087330f;	val_dir[837*3 + 2] = 0.034932f;
 	val_dir[838*3 + 0] = 0.994692f;	val_dir[838*3 + 1] = 0.102899f;	val_dir[838*3 + 2] = 0.0f;
 	val_dir[839*3 + 0] = -0.104669f;	val_dir[839*3 + 1] = -0.994354f;	val_dir[839*3 + 2] = 0.017445f;
 	val_dir[840*3 + 0] = -0.088806f;	val_dir[840*3 + 1] = -0.994623f;	val_dir[840*3 + 2] = 0.053283f;
 	val_dir[841*3 + 0] = -0.072239f;	val_dir[841*3 + 1] = -0.993291f;	val_dir[841*3 + 2] = 0.090299f;
 	val_dir[842*3 + 0] = -0.055011f;	val_dir[842*3 + 1] = -0.990201f;	val_dir[842*3 + 2] = 0.128359f;
 	val_dir[843*3 + 0] = -0.037178f;	val_dir[843*3 + 1] = -0.985205f;	val_dir[843*3 + 2] = 0.167299f;
 	val_dir[844*3 + 0] = -0.018811f;	val_dir[844*3 + 1] = -0.978177f;	val_dir[844*3 + 2] = 0.206922f;
 	val_dir[845*3 + 0] = 0.0f;	val_dir[845*3 + 1] = -0.969015f;	val_dir[845*3 + 2] = 0.247004f;
 	val_dir[846*3 + 0] = 0.019353f;	val_dir[846*3 + 1] = -0.967641f;	val_dir[846*3 + 2] = 0.251587f;
 	val_dir[847*3 + 0] = 0.039421f;	val_dir[847*3 + 1] = -0.965810f;	val_dir[847*3 + 2] = 0.256235f;
 	val_dir[848*3 + 0] = 0.060217f;	val_dir[848*3 + 1] = -0.963475f;	val_dir[848*3 + 2] = 0.260941f;
 	val_dir[849*3 + 0] = 0.081752f;	val_dir[849*3 + 1] = -0.960585f;	val_dir[849*3 + 2] = 0.265694f;
 	val_dir[850*3 + 0] = 0.104031f;	val_dir[850*3 + 1] = -0.957088f;	val_dir[850*3 + 2] = 0.270481f;
 	val_dir[851*3 + 0] = 0.127057f;	val_dir[851*3 + 1] = -0.952928f;	val_dir[851*3 + 2] = 0.275290f;
 	val_dir[852*3 + 0] = 0.150826f;	val_dir[852*3 + 1] = -0.948047f;	val_dir[852*3 + 2] = 0.280105f;
 	val_dir[853*3 + 0] = 0.175327f;	val_dir[853*3 + 1] = -0.942384f;	val_dir[853*3 + 2] = 0.284907f;
 	val_dir[854*3 + 0] = 0.200545f;	val_dir[854*3 + 1] = -0.935879f;	val_dir[854*3 + 2] = 0.289677f;
 	val_dir[855*3 + 0] = 0.226455f;	val_dir[855*3 + 1] = -0.928467f;	val_dir[855*3 + 2] = 0.294392f;
 	val_dir[856*3 + 0] = 0.253024f;	val_dir[856*3 + 1] = -0.920087f;	val_dir[856*3 + 2] = 0.299028f;
 	val_dir[857*3 + 0] = 0.280209f;	val_dir[857*3 + 1] = -0.910678f;	val_dir[857*3 + 2] = 0.303559f;
 	val_dir[858*3 + 0] = 0.307957f;	val_dir[858*3 + 1] = -0.900181f;	val_dir[858*3 + 2] = 0.307957f;
 	val_dir[859*3 + 0] = 0.336204f;	val_dir[859*3 + 1] = -0.888540f;	val_dir[859*3 + 2] = 0.312190f;
 	val_dir[860*3 + 0] = 0.364878f;	val_dir[860*3 + 1] = -0.875708f;	val_dir[860*3 + 2] = 0.316228f;
 	val_dir[861*3 + 0] = 0.393893f;	val_dir[861*3 + 1] = -0.861640f;	val_dir[861*3 + 2] = 0.320038f;
 	val_dir[862*3 + 0] = 0.423153f;	val_dir[862*3 + 1] = -0.846305f;	val_dir[862*3 + 2] = 0.323587f;
 	val_dir[863*3 + 0] = 0.452553f;	val_dir[863*3 + 1] = -0.829680f;	val_dir[863*3 + 2] = 0.326844f;
 	val_dir[864*3 + 0] = 0.481979f;	val_dir[864*3 + 1] = -0.811754f;	val_dir[864*3 + 2] = 0.329775f;
 	val_dir[865*3 + 0] = 0.511310f;	val_dir[865*3 + 1] = -0.792530f;	val_dir[865*3 + 2] = 0.332352f;
 	val_dir[866*3 + 0] = 0.540419f;	val_dir[866*3 + 1] = -0.772027f;	val_dir[866*3 + 2] = 0.334545f;
 	val_dir[867*3 + 0] = 0.569177f;	val_dir[867*3 + 1] = -0.750279f;	val_dir[867*3 + 2] = 0.336332f;
 	val_dir[868*3 + 0] = 0.597453f;	val_dir[868*3 + 1] = -0.727334f;	val_dir[868*3 + 2] = 0.337691f;
 	val_dir[869*3 + 0] = 0.625119f;	val_dir[869*3 + 1] = -0.703259f;	val_dir[869*3 + 2] = 0.338606f;
 	val_dir[870*3 + 0] = 0.652051f;	val_dir[870*3 + 1] = -0.678133f;	val_dir[870*3 + 2] = 0.339066f;
 	val_dir[871*3 + 0] = 0.678133f;	val_dir[871*3 + 1] = -0.652051f;	val_dir[871*3 + 2] = 0.339066f;
 	val_dir[872*3 + 0] = 0.703259f;	val_dir[872*3 + 1] = -0.625119f;	val_dir[872*3 + 2] = 0.338606f;
 	val_dir[873*3 + 0] = 0.727334f;	val_dir[873*3 + 1] = -0.597453f;	val_dir[873*3 + 2] = 0.337691f;
 	val_dir[874*3 + 0] = 0.750279f;	val_dir[874*3 + 1] = -0.569177f;	val_dir[874*3 + 2] = 0.336332f;
 	val_dir[875*3 + 0] = 0.772027f;	val_dir[875*3 + 1] = -0.540419f;	val_dir[875*3 + 2] = 0.334545f;
 	val_dir[876*3 + 0] = 0.792530f;	val_dir[876*3 + 1] = -0.511310f;	val_dir[876*3 + 2] = 0.332352f;
 	val_dir[877*3 + 0] = 0.811754f;	val_dir[877*3 + 1] = -0.481979f;	val_dir[877*3 + 2] = 0.329775f;
 	val_dir[878*3 + 0] = 0.829680f;	val_dir[878*3 + 1] = -0.452553f;	val_dir[878*3 + 2] = 0.326844f;
 	val_dir[879*3 + 0] = 0.846305f;	val_dir[879*3 + 1] = -0.423153f;	val_dir[879*3 + 2] = 0.323587f;
 	val_dir[880*3 + 0] = 0.861640f;	val_dir[880*3 + 1] = -0.393893f;	val_dir[880*3 + 2] = 0.320038f;
 	val_dir[881*3 + 0] = 0.875708f;	val_dir[881*3 + 1] = -0.364878f;	val_dir[881*3 + 2] = 0.316228f;
 	val_dir[882*3 + 0] = 0.888540f;	val_dir[882*3 + 1] = -0.336204f;	val_dir[882*3 + 2] = 0.312190f;
 	val_dir[883*3 + 0] = 0.900181f;	val_dir[883*3 + 1] = -0.307957f;	val_dir[883*3 + 2] = 0.307957f;
 	val_dir[884*3 + 0] = 0.910678f;	val_dir[884*3 + 1] = -0.280209f;	val_dir[884*3 + 2] = 0.303559f;
 	val_dir[885*3 + 0] = 0.920087f;	val_dir[885*3 + 1] = -0.253024f;	val_dir[885*3 + 2] = 0.299028f;
 	val_dir[886*3 + 0] = 0.928467f;	val_dir[886*3 + 1] = -0.226455f;	val_dir[886*3 + 2] = 0.294392f;
 	val_dir[887*3 + 0] = 0.935879f;	val_dir[887*3 + 1] = -0.200545f;	val_dir[887*3 + 2] = 0.289677f;
 	val_dir[888*3 + 0] = 0.942384f;	val_dir[888*3 + 1] = -0.175327f;	val_dir[888*3 + 2] = 0.284907f;
 	val_dir[889*3 + 0] = 0.948047f;	val_dir[889*3 + 1] = -0.150826f;	val_dir[889*3 + 2] = 0.280105f;
 	val_dir[890*3 + 0] = 0.952928f;	val_dir[890*3 + 1] = -0.127057f;	val_dir[890*3 + 2] = 0.275290f;
 	val_dir[891*3 + 0] = 0.957088f;	val_dir[891*3 + 1] = -0.104031f;	val_dir[891*3 + 2] = 0.270481f;
 	val_dir[892*3 + 0] = 0.960585f;	val_dir[892*3 + 1] = -0.081752f;	val_dir[892*3 + 2] = 0.265694f;
 	val_dir[893*3 + 0] = 0.963475f;	val_dir[893*3 + 1] = -0.060217f;	val_dir[893*3 + 2] = 0.260941f;
 	val_dir[894*3 + 0] = 0.965810f;	val_dir[894*3 + 1] = -0.039421f;	val_dir[894*3 + 2] = 0.256235f;
 	val_dir[895*3 + 0] = 0.967641f;	val_dir[895*3 + 1] = -0.019353f;	val_dir[895*3 + 2] = 0.251587f;
 	val_dir[896*3 + 0] = 0.969015f;	val_dir[896*3 + 1] = 0.0f;	val_dir[896*3 + 2] = 0.247004f;
 	val_dir[897*3 + 0] = 0.978177f;	val_dir[897*3 + 1] = 0.018811f;	val_dir[897*3 + 2] = 0.206922f;
 	val_dir[898*3 + 0] = 0.985205f;	val_dir[898*3 + 1] = 0.037178f;	val_dir[898*3 + 2] = 0.167299f;
 	val_dir[899*3 + 0] = 0.990201f;	val_dir[899*3 + 1] = 0.055011f;	val_dir[899*3 + 2] = 0.128359f;
 	val_dir[900*3 + 0] = 0.993291f;	val_dir[900*3 + 1] = 0.072239f;	val_dir[900*3 + 2] = 0.090299f;
 	val_dir[901*3 + 0] = 0.994623f;	val_dir[901*3 + 1] = 0.088806f;	val_dir[901*3 + 2] = 0.053283f;
 	val_dir[902*3 + 0] = 0.994354f;	val_dir[902*3 + 1] = 0.104669f;	val_dir[902*3 + 2] = 0.017445f;
 	val_dir[903*3 + 0] = -0.121891f;	val_dir[903*3 + 1] = -0.992543f;	val_dir[903*3 + 2] = 0.0f;
 	val_dir[904*3 + 0] = -0.106466f;	val_dir[904*3 + 1] = -0.993683f;	val_dir[904*3 + 2] = 0.035489f;
 	val_dir[905*3 + 0] = -0.090299f;	val_dir[905*3 + 1] = -0.993291f;	val_dir[905*3 + 2] = 0.072239f;
 	val_dir[906*3 + 0] = -0.073422f;	val_dir[906*3 + 1] = -0.991201f;	val_dir[906*3 + 2] = 0.110133f;
 	val_dir[907*3 + 0] = -0.055882f;	val_dir[907*3 + 1] = -0.987254f;	val_dir[907*3 + 2] = 0.149019f;
 	val_dir[908*3 + 0] = -0.037743f;	val_dir[908*3 + 1] = -0.981307f;	val_dir[908*3 + 2] = 0.188713f;
 	val_dir[909*3 + 0] = -0.019083f;	val_dir[909*3 + 1] = -0.973240f;	val_dir[909*3 + 2] = 0.228998f;
 	val_dir[910*3 + 0] = 0.0f;	val_dir[910*3 + 1] = -0.962964f;	val_dir[910*3 + 2] = 0.269630f;
 	val_dir[911*3 + 0] = 0.019619f;	val_dir[911*3 + 1] = -0.961339f;	val_dir[911*3 + 2] = 0.274668f;
 	val_dir[912*3 + 0] = 0.039968f;	val_dir[912*3 + 1] = -0.959233f;	val_dir[912*3 + 2] = 0.279776f;
 	val_dir[913*3 + 0] = 0.061059f;	val_dir[913*3 + 1] = -0.956597f;	val_dir[913*3 + 2] = 0.284944f;
 	val_dir[914*3 + 0] = 0.082903f;	val_dir[914*3 + 1] = -0.953381f;	val_dir[914*3 + 2] = 0.290159f;
 	val_dir[915*3 + 0] = 0.105503f;	val_dir[915*3 + 1] = -0.949528f;	val_dir[915*3 + 2] = 0.295409f;
 	val_dir[916*3 + 0] = 0.128861f;	val_dir[916*3 + 1] = -0.944981f;	val_dir[916*3 + 2] = 0.300676f;
 	val_dir[917*3 + 0] = 0.152971f;	val_dir[917*3 + 1] = -0.939680f;	val_dir[917*3 + 2] = 0.305942f;
 	val_dir[918*3 + 0] = 0.177822f;	val_dir[918*3 + 1] = -0.933564f;	val_dir[918*3 + 2] = 0.311188f;
 	val_dir[919*3 + 0] = 0.203393f;	val_dir[919*3 + 1] = -0.926568f;	val_dir[919*3 + 2] = 0.316389f;
 	val_dir[920*3 + 0] = 0.229658f;	val_dir[920*3 + 1] = -0.918630f;	val_dir[920*3 + 2] = 0.321521f;
 	val_dir[921*3 + 0] = 0.256578f;	val_dir[921*3 + 1] = -0.909687f;	val_dir[921*3 + 2] = 0.326554f;
 	val_dir[922*3 + 0] = 0.284108f;	val_dir[922*3 + 1] = -0.899676f;	val_dir[922*3 + 2] = 0.331460f;
 	val_dir[923*3 + 0] = 0.312190f;	val_dir[923*3 + 1] = -0.888540f;	val_dir[923*3 + 2] = 0.336204f;
 	val_dir[924*3 + 0] = 0.340755f;	val_dir[924*3 + 1] = -0.876226f;	val_dir[924*3 + 2] = 0.340755f;
 	val_dir[925*3 + 0] = 0.369723f;	val_dir[925*3 + 1] = -0.862687f;	val_dir[925*3 + 2] = 0.345075f;
 	val_dir[926*3 + 0] = 0.399004f;	val_dir[926*3 + 1] = -0.847883f;	val_dir[926*3 + 2] = 0.349128f;
 	val_dir[927*3 + 0] = 0.428496f;	val_dir[927*3 + 1] = -0.831786f;	val_dir[927*3 + 2] = 0.352879f;
 	val_dir[928*3 + 0] = 0.458088f;	val_dir[928*3 + 1] = -0.814379f;	val_dir[928*3 + 2] = 0.356291f;
 	val_dir[929*3 + 0] = 0.487661f;	val_dir[929*3 + 1] = -0.795657f;	val_dir[929*3 + 2] = 0.359329f;
 	val_dir[930*3 + 0] = 0.517088f;	val_dir[930*3 + 1] = -0.775632f;	val_dir[930*3 + 2] = 0.361961f;
 	val_dir[931*3 + 0] = 0.546238f;	val_dir[931*3 + 1] = -0.754329f;	val_dir[931*3 + 2] = 0.364159f;
 	val_dir[932*3 + 0] = 0.574979f;	val_dir[932*3 + 1] = -0.731792f;	val_dir[932*3 + 2] = 0.365896f;
 	val_dir[933*3 + 0] = 0.603178f;	val_dir[933*3 + 1] = -0.708079f;	val_dir[933*3 + 2] = 0.367152f;
 	val_dir[934*3 + 0] = 0.630706f;	val_dir[934*3 + 1] = -0.683265f;	val_dir[934*3 + 2] = 0.367912f;
 	val_dir[935*3 + 0] = 0.657440f;	val_dir[935*3 + 1] = -0.657440f;	val_dir[935*3 + 2] = 0.368166f;
 	val_dir[936*3 + 0] = 0.683265f;	val_dir[936*3 + 1] = -0.630706f;	val_dir[936*3 + 2] = 0.367912f;
 	val_dir[937*3 + 0] = 0.708079f;	val_dir[937*3 + 1] = -0.603178f;	val_dir[937*3 + 2] = 0.367152f;
 	val_dir[938*3 + 0] = 0.731792f;	val_dir[938*3 + 1] = -0.574979f;	val_dir[938*3 + 2] = 0.365896f;
 	val_dir[939*3 + 0] = 0.754329f;	val_dir[939*3 + 1] = -0.546238f;	val_dir[939*3 + 2] = 0.364159f;
 	val_dir[940*3 + 0] = 0.775632f;	val_dir[940*3 + 1] = -0.517088f;	val_dir[940*3 + 2] = 0.361961f;
 	val_dir[941*3 + 0] = 0.795657f;	val_dir[941*3 + 1] = -0.487661f;	val_dir[941*3 + 2] = 0.359329f;
 	val_dir[942*3 + 0] = 0.814379f;	val_dir[942*3 + 1] = -0.458088f;	val_dir[942*3 + 2] = 0.356291f;
 	val_dir[943*3 + 0] = 0.831786f;	val_dir[943*3 + 1] = -0.428496f;	val_dir[943*3 + 2] = 0.352879f;
 	val_dir[944*3 + 0] = 0.847883f;	val_dir[944*3 + 1] = -0.399004f;	val_dir[944*3 + 2] = 0.349128f;
 	val_dir[945*3 + 0] = 0.862687f;	val_dir[945*3 + 1] = -0.369723f;	val_dir[945*3 + 2] = 0.345075f;
 	val_dir[946*3 + 0] = 0.876226f;	val_dir[946*3 + 1] = -0.340755f;	val_dir[946*3 + 2] = 0.340755f;
 	val_dir[947*3 + 0] = 0.888540f;	val_dir[947*3 + 1] = -0.312190f;	val_dir[947*3 + 2] = 0.336204f;
 	val_dir[948*3 + 0] = 0.899676f;	val_dir[948*3 + 1] = -0.284108f;	val_dir[948*3 + 2] = 0.331460f;
 	val_dir[949*3 + 0] = 0.909687f;	val_dir[949*3 + 1] = -0.256578f;	val_dir[949*3 + 2] = 0.326554f;
 	val_dir[950*3 + 0] = 0.918630f;	val_dir[950*3 + 1] = -0.229658f;	val_dir[950*3 + 2] = 0.321521f;
 	val_dir[951*3 + 0] = 0.926568f;	val_dir[951*3 + 1] = -0.203393f;	val_dir[951*3 + 2] = 0.316389f;
 	val_dir[952*3 + 0] = 0.933564f;	val_dir[952*3 + 1] = -0.177822f;	val_dir[952*3 + 2] = 0.311188f;
 	val_dir[953*3 + 0] = 0.939680f;	val_dir[953*3 + 1] = -0.152971f;	val_dir[953*3 + 2] = 0.305942f;
 	val_dir[954*3 + 0] = 0.944981f;	val_dir[954*3 + 1] = -0.128861f;	val_dir[954*3 + 2] = 0.300676f;
 	val_dir[955*3 + 0] = 0.949528f;	val_dir[955*3 + 1] = -0.105503f;	val_dir[955*3 + 2] = 0.295409f;
 	val_dir[956*3 + 0] = 0.953381f;	val_dir[956*3 + 1] = -0.082903f;	val_dir[956*3 + 2] = 0.290159f;
 	val_dir[957*3 + 0] = 0.956597f;	val_dir[957*3 + 1] = -0.061059f;	val_dir[957*3 + 2] = 0.284944f;
 	val_dir[958*3 + 0] = 0.959233f;	val_dir[958*3 + 1] = -0.039968f;	val_dir[958*3 + 2] = 0.279776f;
 	val_dir[959*3 + 0] = 0.961339f;	val_dir[959*3 + 1] = -0.019619f;	val_dir[959*3 + 2] = 0.274668f;
 	val_dir[960*3 + 0] = 0.962964f;	val_dir[960*3 + 1] = 0.0f;	val_dir[960*3 + 2] = 0.269630f;
 	val_dir[961*3 + 0] = 0.973240f;	val_dir[961*3 + 1] = 0.019083f;	val_dir[961*3 + 2] = 0.228998f;
 	val_dir[962*3 + 0] = 0.981307f;	val_dir[962*3 + 1] = 0.037743f;	val_dir[962*3 + 2] = 0.188713f;
 	val_dir[963*3 + 0] = 0.987254f;	val_dir[963*3 + 1] = 0.055882f;	val_dir[963*3 + 2] = 0.149019f;
 	val_dir[964*3 + 0] = 0.991201f;	val_dir[964*3 + 1] = 0.073422f;	val_dir[964*3 + 2] = 0.110133f;
 	val_dir[965*3 + 0] = 0.993291f;	val_dir[965*3 + 1] = 0.090299f;	val_dir[965*3 + 2] = 0.072239f;
 	val_dir[966*3 + 0] = 0.993683f;	val_dir[966*3 + 1] = 0.106466f;	val_dir[966*3 + 2] = 0.035489f;
 	val_dir[967*3 + 0] = 0.992543f;	val_dir[967*3 + 1] = 0.121891f;	val_dir[967*3 + 2] = 0.0f;
 	val_dir[968*3 + 0] = -0.124015f;	val_dir[968*3 + 1] = -0.992122f;	val_dir[968*3 + 2] = 0.017716f;
 	val_dir[969*3 + 0] = -0.108288f;	val_dir[969*3 + 1] = -0.992644f;	val_dir[969*3 + 2] = 0.054144f;
 	val_dir[970*3 + 0] = -0.091809f;	val_dir[970*3 + 1] = -0.991535f;	val_dir[970*3 + 2] = 0.091809f;
 	val_dir[971*3 + 0] = -0.074613f;	val_dir[971*3 + 1] = -0.988627f;	val_dir[971*3 + 2] = 0.130573f;
 	val_dir[972*3 + 0] = -0.056756f;	val_dir[972*3 + 1] = -0.983762f;	val_dir[972*3 + 2] = 0.170267f;
 	val_dir[973*3 + 0] = -0.038306f;	val_dir[973*3 + 1] = -0.976804f;	val_dir[973*3 + 2] = 0.210683f;
 	val_dir[974*3 + 0] = -0.019353f;	val_dir[974*3 + 1] = -0.967641f;	val_dir[974*3 + 2] = 0.251587f;
 	val_dir[975*3 + 0] = 0.0f;	val_dir[975*3 + 1] = -0.95620f;	val_dir[975*3 + 2] = 0.292714f;
 	val_dir[976*3 + 0] = 0.019881f;	val_dir[976*3 + 1] = -0.954291f;	val_dir[976*3 + 2] = 0.298216f;
 	val_dir[977*3 + 0] = 0.040505f;	val_dir[977*3 + 1] = -0.951877f;	val_dir[977*3 + 2] = 0.303791f;
 	val_dir[978*3 + 0] = 0.061885f;	val_dir[978*3 + 1] = -0.948908f;	val_dir[978*3 + 2] = 0.309426f;
 	val_dir[979*3 + 0] = 0.084029f;	val_dir[979*3 + 1] = -0.945328f;	val_dir[979*3 + 2] = 0.315109f;
 	val_dir[980*3 + 0] = 0.106941f;	val_dir[980*3 + 1] = -0.941082f;	val_dir[980*3 + 2] = 0.320824f;
 	val_dir[981*3 + 0] = 0.130620f;	val_dir[981*3 + 1] = -0.936111f;	val_dir[981*3 + 2] = 0.326550f;
 	val_dir[982*3 + 0] = 0.155059f;	val_dir[982*3 + 1] = -0.930352f;	val_dir[982*3 + 2] = 0.332269f;
 	val_dir[983*3 + 0] = 0.180242f;	val_dir[983*3 + 1] = -0.923742f;	val_dir[983*3 + 2] = 0.337954f;
 	val_dir[984*3 + 0] = 0.206149f;	val_dir[984*3 + 1] = -0.916217f;	val_dir[984*3 + 2] = 0.343582f;
 	val_dir[985*3 + 0] = 0.232747f;	val_dir[985*3 + 1] = -0.907713f;	val_dir[985*3 + 2] = 0.349121f;
 	val_dir[986*3 + 0] = 0.259996f;	val_dir[986*3 + 1] = -0.898167f;	val_dir[986*3 + 2] = 0.354540f;
 	val_dir[987*3 + 0] = 0.287843f;	val_dir[987*3 + 1] = -0.887517f;	val_dir[987*3 + 2] = 0.359804f;
 	val_dir[988*3 + 0] = 0.316228f;	val_dir[988*3 + 1] = -0.875708f;	val_dir[988*3 + 2] = 0.364878f;
 	val_dir[989*3 + 0] = 0.345075f;	val_dir[989*3 + 1] = -0.862687f;	val_dir[989*3 + 2] = 0.369723f;
 	val_dir[990*3 + 0] = 0.374299f;	val_dir[990*3 + 1] = -0.848411f;	val_dir[990*3 + 2] = 0.374299f;
 	val_dir[991*3 + 0] = 0.403804f;	val_dir[991*3 + 1] = -0.832845f;	val_dir[991*3 + 2] = 0.378566f;
 	val_dir[992*3 + 0] = 0.433482f;	val_dir[992*3 + 1] = -0.815966f;	val_dir[992*3 + 2] = 0.382484f;
 	val_dir[993*3 + 0] = 0.463217f;	val_dir[993*3 + 1] = -0.797762f;	val_dir[993*3 + 2] = 0.386014f;
 	val_dir[994*3 + 0] = 0.492883f;	val_dir[994*3 + 1] = -0.778237f;	val_dir[994*3 + 2] = 0.389118f;
 	val_dir[995*3 + 0] = 0.522352f;	val_dir[995*3 + 1] = -0.757410f;	val_dir[995*3 + 2] = 0.391764f;
 	val_dir[996*3 + 0] = 0.551487f;	val_dir[996*3 + 1] = -0.735316f;	val_dir[996*3 + 2] = 0.393919f;
 	val_dir[997*3 + 0] = 0.580154f;	val_dir[997*3 + 1] = -0.712007f;	val_dir[997*3 + 2] = 0.395559f;
 	val_dir[998*3 + 0] = 0.608219f;	val_dir[998*3 + 1] = -0.687552f;	val_dir[998*3 + 2] = 0.396664f;
 	val_dir[999*3 + 0] = 0.635553f;	val_dir[999*3 + 1] = -0.662034f;	val_dir[999*3 + 2] = 0.397220f;
 	val_dir[1000*3 + 0] = 0.662034f;	val_dir[1000*3 + 1] = -0.635553f;	val_dir[1000*3 + 2] = 0.397220f;
 	val_dir[1001*3 + 0] = 0.687552f;	val_dir[1001*3 + 1] = -0.608219f;	val_dir[1001*3 + 2] = 0.396664f;
 	val_dir[1002*3 + 0] = 0.712007f;	val_dir[1002*3 + 1] = -0.580154f;	val_dir[1002*3 + 2] = 0.395559f;
 	val_dir[1003*3 + 0] = 0.735316f;	val_dir[1003*3 + 1] = -0.551487f;	val_dir[1003*3 + 2] = 0.393919f;
 	val_dir[1004*3 + 0] = 0.757410f;	val_dir[1004*3 + 1] = -0.522352f;	val_dir[1004*3 + 2] = 0.391764f;
 	val_dir[1005*3 + 0] = 0.778237f;	val_dir[1005*3 + 1] = -0.492883f;	val_dir[1005*3 + 2] = 0.389118f;
 	val_dir[1006*3 + 0] = 0.797762f;	val_dir[1006*3 + 1] = -0.463217f;	val_dir[1006*3 + 2] = 0.386014f;
 	val_dir[1007*3 + 0] = 0.815966f;	val_dir[1007*3 + 1] = -0.433482f;	val_dir[1007*3 + 2] = 0.382484f;
 	val_dir[1008*3 + 0] = 0.832845f;	val_dir[1008*3 + 1] = -0.403804f;	val_dir[1008*3 + 2] = 0.378566f;
 	val_dir[1009*3 + 0] = 0.848411f;	val_dir[1009*3 + 1] = -0.374299f;	val_dir[1009*3 + 2] = 0.374299f;
 	val_dir[1010*3 + 0] = 0.862687f;	val_dir[1010*3 + 1] = -0.345075f;	val_dir[1010*3 + 2] = 0.369723f;
 	val_dir[1011*3 + 0] = 0.875708f;	val_dir[1011*3 + 1] = -0.316228f;	val_dir[1011*3 + 2] = 0.364878f;
 	val_dir[1012*3 + 0] = 0.887517f;	val_dir[1012*3 + 1] = -0.287843f;	val_dir[1012*3 + 2] = 0.359804f;
 	val_dir[1013*3 + 0] = 0.898167f;	val_dir[1013*3 + 1] = -0.259996f;	val_dir[1013*3 + 2] = 0.354540f;
 	val_dir[1014*3 + 0] = 0.907713f;	val_dir[1014*3 + 1] = -0.232747f;	val_dir[1014*3 + 2] = 0.349121f;
 	val_dir[1015*3 + 0] = 0.916217f;	val_dir[1015*3 + 1] = -0.206149f;	val_dir[1015*3 + 2] = 0.343582f;
 	val_dir[1016*3 + 0] = 0.923742f;	val_dir[1016*3 + 1] = -0.180242f;	val_dir[1016*3 + 2] = 0.337954f;
 	val_dir[1017*3 + 0] = 0.930352f;	val_dir[1017*3 + 1] = -0.155059f;	val_dir[1017*3 + 2] = 0.332269f;
 	val_dir[1018*3 + 0] = 0.936111f;	val_dir[1018*3 + 1] = -0.130620f;	val_dir[1018*3 + 2] = 0.326550f;
 	val_dir[1019*3 + 0] = 0.941082f;	val_dir[1019*3 + 1] = -0.106941f;	val_dir[1019*3 + 2] = 0.320824f;
 	val_dir[1020*3 + 0] = 0.945328f;	val_dir[1020*3 + 1] = -0.084029f;	val_dir[1020*3 + 2] = 0.315109f;
 	val_dir[1021*3 + 0] = 0.948908f;	val_dir[1021*3 + 1] = -0.061885f;	val_dir[1021*3 + 2] = 0.309426f;
 	val_dir[1022*3 + 0] = 0.951877f;	val_dir[1022*3 + 1] = -0.040505f;	val_dir[1022*3 + 2] = 0.303791f;
 	val_dir[1023*3 + 0] = 0.954291f;	val_dir[1023*3 + 1] = -0.019881f;	val_dir[1023*3 + 2] = 0.298216f;
 	val_dir[1024*3 + 0] = 0.95620f;	val_dir[1024*3 + 1] = 0.0f;	val_dir[1024*3 + 2] = 0.292714f;
 	val_dir[1025*3 + 0] = 0.967641f;	val_dir[1025*3 + 1] = 0.019353f;	val_dir[1025*3 + 2] = 0.251587f;
 	val_dir[1026*3 + 0] = 0.976804f;	val_dir[1026*3 + 1] = 0.038306f;	val_dir[1026*3 + 2] = 0.210683f;
 	val_dir[1027*3 + 0] = 0.983762f;	val_dir[1027*3 + 1] = 0.056756f;	val_dir[1027*3 + 2] = 0.170267f;
 	val_dir[1028*3 + 0] = 0.988627f;	val_dir[1028*3 + 1] = 0.074613f;	val_dir[1028*3 + 2] = 0.130573f;
 	val_dir[1029*3 + 0] = 0.991535f;	val_dir[1029*3 + 1] = 0.091809f;	val_dir[1029*3 + 2] = 0.091809f;
 	val_dir[1030*3 + 0] = 0.992644f;	val_dir[1030*3 + 1] = 0.108288f;	val_dir[1030*3 + 2] = 0.054144f;
 	val_dir[1031*3 + 0] = 0.992122f;	val_dir[1031*3 + 1] = 0.124015f;	val_dir[1031*3 + 2] = 0.017716f;
 	val_dir[1032*3 + 0] = -0.141421f;	val_dir[1032*3 + 1] = -0.989949f;	val_dir[1032*3 + 2] = 0.0f;
 	val_dir[1033*3 + 0] = -0.126172f;	val_dir[1033*3 + 1] = -0.991353f;	val_dir[1033*3 + 2] = 0.036049f;
 	val_dir[1034*3 + 0] = -0.110133f;	val_dir[1034*3 + 1] = -0.991201f;	val_dir[1034*3 + 2] = 0.073422f;
 	val_dir[1035*3 + 0] = -0.093332f;	val_dir[1035*3 + 1] = -0.989316f;	val_dir[1035*3 + 2] = 0.111998f;
 	val_dir[1036*3 + 0] = -0.075810f;	val_dir[1036*3 + 1] = -0.985527f;	val_dir[1036*3 + 2] = 0.151620f;
 	val_dir[1037*3 + 0] = -0.057628f;	val_dir[1037*3 + 1] = -0.979683f;	val_dir[1037*3 + 2] = 0.192095f;
 	val_dir[1038*3 + 0] = -0.038866f;	val_dir[1038*3 + 1] = -0.971653f;	val_dir[1038*3 + 2] = 0.233197f;
 	val_dir[1039*3 + 0] = -0.019619f;	val_dir[1039*3 + 1] = -0.961339f;	val_dir[1039*3 + 2] = 0.274668f;
 	val_dir[1040*3 + 0] = 0.0f;	val_dir[1040*3 + 1] = -0.948683f;	val_dir[1040*3 + 2] = 0.316228f;
 	val_dir[1041*3 + 0] = 0.020137f;	val_dir[1041*3 + 1] = -0.946458f;	val_dir[1041*3 + 2] = 0.322198f;
 	val_dir[1042*3 + 0] = 0.041030f;	val_dir[1042*3 + 1] = -0.943701f;	val_dir[1042*3 + 2] = 0.328244f;
 	val_dir[1043*3 + 0] = 0.062691f;	val_dir[1043*3 + 1] = -0.940361f;	val_dir[1043*3 + 2] = 0.334351f;
 	val_dir[1044*3 + 0] = 0.085126f;	val_dir[1044*3 + 1] = -0.936382f;	val_dir[1044*3 + 2] = 0.340503f;
 	val_dir[1045*3 + 0] = 0.108338f;	val_dir[1045*3 + 1] = -0.931705f;	val_dir[1045*3 + 2] = 0.346681f;
 	val_dir[1046*3 + 0] = 0.132324f;	val_dir[1046*3 + 1] = -0.926270f;	val_dir[1046*3 + 2] = 0.352865f;
 	val_dir[1047*3 + 0] = 0.157075f;	val_dir[1047*3 + 1] = -0.920014f;	val_dir[1047*3 + 2] = 0.359030f;
 	val_dir[1048*3 + 0] = 0.182574f;	val_dir[1048*3 + 1] = -0.912871f;	val_dir[1048*3 + 2] = 0.365148f;
 	val_dir[1049*3 + 0] = 0.208795f;	val_dir[1049*3 + 1] = -0.904777f;	val_dir[1049*3 + 2] = 0.371191f;
 	val_dir[1050*3 + 0] = 0.235702f;	val_dir[1050*3 + 1] = -0.895669f;	val_dir[1050*3 + 2] = 0.377124f;
 	val_dir[1051*3 + 0] = 0.263251f;	val_dir[1051*3 + 1] = -0.885482f;	val_dir[1051*3 + 2] = 0.382911f;
 	val_dir[1052*3 + 0] = 0.291386f;	val_dir[1052*3 + 1] = -0.874157f;	val_dir[1052*3 + 2] = 0.388514f;
 	val_dir[1053*3 + 0] = 0.320038f;	val_dir[1053*3 + 1] = -0.861640f;	val_dir[1053*3 + 2] = 0.393893f;
 	val_dir[1054*3 + 0] = 0.349128f;	val_dir[1054*3 + 1] = -0.847883f;	val_dir[1054*3 + 2] = 0.399004f;
 	val_dir[1055*3 + 0] = 0.378566f;	val_dir[1055*3 + 1] = -0.832845f;	val_dir[1055*3 + 2] = 0.403804f;
 	val_dir[1056*3 + 0] = 0.408248f;	val_dir[1056*3 + 1] = -0.816497f;	val_dir[1056*3 + 2] = 0.408248f;
 	val_dir[1057*3 + 0] = 0.438063f;	val_dir[1057*3 + 1] = -0.798820f;	val_dir[1057*3 + 2] = 0.412294f;
 	val_dir[1058*3 + 0] = 0.467888f;	val_dir[1058*3 + 1] = -0.779813f;	val_dir[1058*3 + 2] = 0.41590f;
 	val_dir[1059*3 + 0] = 0.497594f;	val_dir[1059*3 + 1] = -0.759485f;	val_dir[1059*3 + 2] = 0.419026f;
 	val_dir[1060*3 + 0] = 0.527046f;	val_dir[1060*3 + 1] = -0.737865f;	val_dir[1060*3 + 2] = 0.421637f;
 	val_dir[1061*3 + 0] = 0.556108f;	val_dir[1061*3 + 1] = -0.714997f;	val_dir[1061*3 + 2] = 0.423702f;
 	val_dir[1062*3 + 0] = 0.584643f;	val_dir[1062*3 + 1] = -0.690942f;	val_dir[1062*3 + 2] = 0.425195f;
 	val_dir[1063*3 + 0] = 0.612517f;	val_dir[1063*3 + 1] = -0.665780f;	val_dir[1063*3 + 2] = 0.426099f;
 	val_dir[1064*3 + 0] = 0.639602f;	val_dir[1064*3 + 1] = -0.639602f;	val_dir[1064*3 + 2] = 0.426401f;
 	val_dir[1065*3 + 0] = 0.665780f;	val_dir[1065*3 + 1] = -0.612517f;	val_dir[1065*3 + 2] = 0.426099f;
 	val_dir[1066*3 + 0] = 0.690942f;	val_dir[1066*3 + 1] = -0.584643f;	val_dir[1066*3 + 2] = 0.425195f;
 	val_dir[1067*3 + 0] = 0.714997f;	val_dir[1067*3 + 1] = -0.556108f;	val_dir[1067*3 + 2] = 0.423702f;
 	val_dir[1068*3 + 0] = 0.737865f;	val_dir[1068*3 + 1] = -0.527046f;	val_dir[1068*3 + 2] = 0.421637f;
 	val_dir[1069*3 + 0] = 0.759485f;	val_dir[1069*3 + 1] = -0.497594f;	val_dir[1069*3 + 2] = 0.419026f;
 	val_dir[1070*3 + 0] = 0.779813f;	val_dir[1070*3 + 1] = -0.467888f;	val_dir[1070*3 + 2] = 0.41590f;
 	val_dir[1071*3 + 0] = 0.798820f;	val_dir[1071*3 + 1] = -0.438063f;	val_dir[1071*3 + 2] = 0.412294f;
 	val_dir[1072*3 + 0] = 0.816497f;	val_dir[1072*3 + 1] = -0.408248f;	val_dir[1072*3 + 2] = 0.408248f;
 	val_dir[1073*3 + 0] = 0.832845f;	val_dir[1073*3 + 1] = -0.378566f;	val_dir[1073*3 + 2] = 0.403804f;
 	val_dir[1074*3 + 0] = 0.847883f;	val_dir[1074*3 + 1] = -0.349128f;	val_dir[1074*3 + 2] = 0.399004f;
 	val_dir[1075*3 + 0] = 0.861640f;	val_dir[1075*3 + 1] = -0.320038f;	val_dir[1075*3 + 2] = 0.393893f;
 	val_dir[1076*3 + 0] = 0.874157f;	val_dir[1076*3 + 1] = -0.291386f;	val_dir[1076*3 + 2] = 0.388514f;
 	val_dir[1077*3 + 0] = 0.885482f;	val_dir[1077*3 + 1] = -0.263251f;	val_dir[1077*3 + 2] = 0.382911f;
 	val_dir[1078*3 + 0] = 0.895669f;	val_dir[1078*3 + 1] = -0.235702f;	val_dir[1078*3 + 2] = 0.377124f;
 	val_dir[1079*3 + 0] = 0.904777f;	val_dir[1079*3 + 1] = -0.208795f;	val_dir[1079*3 + 2] = 0.371191f;
 	val_dir[1080*3 + 0] = 0.912871f;	val_dir[1080*3 + 1] = -0.182574f;	val_dir[1080*3 + 2] = 0.365148f;
 	val_dir[1081*3 + 0] = 0.920014f;	val_dir[1081*3 + 1] = -0.157075f;	val_dir[1081*3 + 2] = 0.359030f;
 	val_dir[1082*3 + 0] = 0.926270f;	val_dir[1082*3 + 1] = -0.132324f;	val_dir[1082*3 + 2] = 0.352865f;
 	val_dir[1083*3 + 0] = 0.931705f;	val_dir[1083*3 + 1] = -0.108338f;	val_dir[1083*3 + 2] = 0.346681f;
 	val_dir[1084*3 + 0] = 0.936382f;	val_dir[1084*3 + 1] = -0.085126f;	val_dir[1084*3 + 2] = 0.340503f;
 	val_dir[1085*3 + 0] = 0.940361f;	val_dir[1085*3 + 1] = -0.062691f;	val_dir[1085*3 + 2] = 0.334351f;
 	val_dir[1086*3 + 0] = 0.943701f;	val_dir[1086*3 + 1] = -0.041030f;	val_dir[1086*3 + 2] = 0.328244f;
 	val_dir[1087*3 + 0] = 0.946458f;	val_dir[1087*3 + 1] = -0.020137f;	val_dir[1087*3 + 2] = 0.322198f;
 	val_dir[1088*3 + 0] = 0.948683f;	val_dir[1088*3 + 1] = 0.0f;	val_dir[1088*3 + 2] = 0.316228f;
 	val_dir[1089*3 + 0] = 0.961339f;	val_dir[1089*3 + 1] = 0.019619f;	val_dir[1089*3 + 2] = 0.274668f;
 	val_dir[1090*3 + 0] = 0.971653f;	val_dir[1090*3 + 1] = 0.038866f;	val_dir[1090*3 + 2] = 0.233197f;
 	val_dir[1091*3 + 0] = 0.979683f;	val_dir[1091*3 + 1] = 0.057628f;	val_dir[1091*3 + 2] = 0.192095f;
 	val_dir[1092*3 + 0] = 0.985527f;	val_dir[1092*3 + 1] = 0.075810f;	val_dir[1092*3 + 2] = 0.151620f;
 	val_dir[1093*3 + 0] = 0.989316f;	val_dir[1093*3 + 1] = 0.093332f;	val_dir[1093*3 + 2] = 0.111998f;
 	val_dir[1094*3 + 0] = 0.991201f;	val_dir[1094*3 + 1] = 0.110133f;	val_dir[1094*3 + 2] = 0.073422f;
 	val_dir[1095*3 + 0] = 0.991353f;	val_dir[1095*3 + 1] = 0.126172f;	val_dir[1095*3 + 2] = 0.036049f;
 	val_dir[1096*3 + 0] = 0.989949f;	val_dir[1096*3 + 1] = 0.141421f;	val_dir[1096*3 + 2] = 0.0f;
 	val_dir[1097*3 + 0] = -0.143917f;	val_dir[1097*3 + 1] = -0.989426f;	val_dir[1097*3 + 2] = 0.017990f;
 	val_dir[1098*3 + 0] = -0.128359f;	val_dir[1098*3 + 1] = -0.990201f;	val_dir[1098*3 + 2] = 0.055011f;
 	val_dir[1099*3 + 0] = -0.111998f;	val_dir[1099*3 + 1] = -0.989316f;	val_dir[1099*3 + 2] = 0.093332f;
 	val_dir[1100*3 + 0] = -0.094865f;	val_dir[1100*3 + 1] = -0.986591f;	val_dir[1100*3 + 2] = 0.132810f;
 	val_dir[1101*3 + 0] = -0.077009f;	val_dir[1101*3 + 1] = -0.981859f;	val_dir[1101*3 + 2] = 0.173269f;
 	val_dir[1102*3 + 0] = -0.058498f;	val_dir[1102*3 + 1] = -0.974972f;	val_dir[1102*3 + 2] = 0.214494f;
 	val_dir[1103*3 + 0] = -0.039421f;	val_dir[1103*3 + 1] = -0.965810f;	val_dir[1103*3 + 2] = 0.256235f;
 	val_dir[1104*3 + 0] = -0.019881f;	val_dir[1104*3 + 1] = -0.954291f;	val_dir[1104*3 + 2] = 0.298216f;
 	val_dir[1105*3 + 0] = 0.0f;	val_dir[1105*3 + 1] = -0.940376f;	val_dir[1105*3 + 2] = 0.340136f;
 	val_dir[1106*3 + 0] = 0.020387f;	val_dir[1106*3 + 1] = -0.93780f;	val_dir[1106*3 + 2] = 0.346578f;
 	val_dir[1107*3 + 0] = 0.041541f;	val_dir[1107*3 + 1] = -0.934665f;	val_dir[1107*3 + 2] = 0.353096f;
 	val_dir[1108*3 + 0] = 0.063472f;	val_dir[1108*3 + 1] = -0.930917f;	val_dir[1108*3 + 2] = 0.359673f;
 	val_dir[1109*3 + 0] = 0.086186f;	val_dir[1109*3 + 1] = -0.92650f;	val_dir[1109*3 + 2] = 0.366291f;
 	val_dir[1110*3 + 0] = 0.109685f;	val_dir[1110*3 + 1] = -0.921354f;	val_dir[1110*3 + 2] = 0.372929f;
 	val_dir[1111*3 + 0] = 0.133963f;	val_dir[1111*3 + 1] = -0.915416f;	val_dir[1111*3 + 2] = 0.379563f;
 	val_dir[1112*3 + 0] = 0.159009f;	val_dir[1112*3 + 1] = -0.908622f;	val_dir[1112*3 + 2] = 0.386164f;
 	val_dir[1113*3 + 0] = 0.184801f;	val_dir[1113*3 + 1] = -0.900907f;	val_dir[1113*3 + 2] = 0.392703f;
 	val_dir[1114*3 + 0] = 0.211312f;	val_dir[1114*3 + 1] = -0.892206f;	val_dir[1114*3 + 2] = 0.399145f;
 	val_dir[1115*3 + 0] = 0.238501f;	val_dir[1115*3 + 1] = -0.882454f;	val_dir[1115*3 + 2] = 0.405452f;
 	val_dir[1116*3 + 0] = 0.266320f;	val_dir[1116*3 + 1] = -0.871592f;	val_dir[1116*3 + 2] = 0.411585f;
 	val_dir[1117*3 + 0] = 0.294706f;	val_dir[1117*3 + 1] = -0.859559f;	val_dir[1117*3 + 2] = 0.41750f;
 	val_dir[1118*3 + 0] = 0.323587f;	val_dir[1118*3 + 1] = -0.846305f;	val_dir[1118*3 + 2] = 0.423153f;
 	val_dir[1119*3 + 0] = 0.352879f;	val_dir[1119*3 + 1] = -0.831786f;	val_dir[1119*3 + 2] = 0.428496f;
 	val_dir[1120*3 + 0] = 0.382484f;	val_dir[1120*3 + 1] = -0.815966f;	val_dir[1120*3 + 2] = 0.433482f;
 	val_dir[1121*3 + 0] = 0.412294f;	val_dir[1121*3 + 1] = -0.798820f;	val_dir[1121*3 + 2] = 0.438063f;
 	val_dir[1122*3 + 0] = 0.442193f;	val_dir[1122*3 + 1] = -0.780340f;	val_dir[1122*3 + 2] = 0.442193f;
 	val_dir[1123*3 + 0] = 0.472053f;	val_dir[1123*3 + 1] = -0.760529f;	val_dir[1123*3 + 2] = 0.445827f;
 	val_dir[1124*3 + 0] = 0.501740f;	val_dir[1124*3 + 1] = -0.739407f;	val_dir[1124*3 + 2] = 0.448926f;
 	val_dir[1125*3 + 0] = 0.531119f;	val_dir[1125*3 + 1] = -0.717011f;	val_dir[1125*3 + 2] = 0.451451f;
 	val_dir[1126*3 + 0] = 0.560050f;	val_dir[1126*3 + 1] = -0.693395f;	val_dir[1126*3 + 2] = 0.453374f;
 	val_dir[1127*3 + 0] = 0.588395f;	val_dir[1127*3 + 1] = -0.668631f;	val_dir[1127*3 + 2] = 0.454669f;
 	val_dir[1128*3 + 0] = 0.616022f;	val_dir[1128*3 + 1] = -0.642806f;	val_dir[1128*3 + 2] = 0.455321f;
 	val_dir[1129*3 + 0] = 0.642806f;	val_dir[1129*3 + 1] = -0.616022f;	val_dir[1129*3 + 2] = 0.455321f;
 	val_dir[1130*3 + 0] = 0.668631f;	val_dir[1130*3 + 1] = -0.588395f;	val_dir[1130*3 + 2] = 0.454669f;
 	val_dir[1131*3 + 0] = 0.693395f;	val_dir[1131*3 + 1] = -0.560050f;	val_dir[1131*3 + 2] = 0.453374f;
 	val_dir[1132*3 + 0] = 0.717011f;	val_dir[1132*3 + 1] = -0.531119f;	val_dir[1132*3 + 2] = 0.451451f;
 	val_dir[1133*3 + 0] = 0.739407f;	val_dir[1133*3 + 1] = -0.501740f;	val_dir[1133*3 + 2] = 0.448926f;
 	val_dir[1134*3 + 0] = 0.760529f;	val_dir[1134*3 + 1] = -0.472053f;	val_dir[1134*3 + 2] = 0.445827f;
 	val_dir[1135*3 + 0] = 0.780340f;	val_dir[1135*3 + 1] = -0.442193f;	val_dir[1135*3 + 2] = 0.442193f;
 	val_dir[1136*3 + 0] = 0.798820f;	val_dir[1136*3 + 1] = -0.412294f;	val_dir[1136*3 + 2] = 0.438063f;
 	val_dir[1137*3 + 0] = 0.815966f;	val_dir[1137*3 + 1] = -0.382484f;	val_dir[1137*3 + 2] = 0.433482f;
 	val_dir[1138*3 + 0] = 0.831786f;	val_dir[1138*3 + 1] = -0.352879f;	val_dir[1138*3 + 2] = 0.428496f;
 	val_dir[1139*3 + 0] = 0.846305f;	val_dir[1139*3 + 1] = -0.323587f;	val_dir[1139*3 + 2] = 0.423153f;
 	val_dir[1140*3 + 0] = 0.859559f;	val_dir[1140*3 + 1] = -0.294706f;	val_dir[1140*3 + 2] = 0.41750f;
 	val_dir[1141*3 + 0] = 0.871592f;	val_dir[1141*3 + 1] = -0.266320f;	val_dir[1141*3 + 2] = 0.411585f;
 	val_dir[1142*3 + 0] = 0.882454f;	val_dir[1142*3 + 1] = -0.238501f;	val_dir[1142*3 + 2] = 0.405452f;
 	val_dir[1143*3 + 0] = 0.892206f;	val_dir[1143*3 + 1] = -0.211312f;	val_dir[1143*3 + 2] = 0.399145f;
 	val_dir[1144*3 + 0] = 0.900907f;	val_dir[1144*3 + 1] = -0.184801f;	val_dir[1144*3 + 2] = 0.392703f;
 	val_dir[1145*3 + 0] = 0.908622f;	val_dir[1145*3 + 1] = -0.159009f;	val_dir[1145*3 + 2] = 0.386164f;
 	val_dir[1146*3 + 0] = 0.915416f;	val_dir[1146*3 + 1] = -0.133963f;	val_dir[1146*3 + 2] = 0.379563f;
 	val_dir[1147*3 + 0] = 0.921354f;	val_dir[1147*3 + 1] = -0.109685f;	val_dir[1147*3 + 2] = 0.372929f;
 	val_dir[1148*3 + 0] = 0.92650f;	val_dir[1148*3 + 1] = -0.086186f;	val_dir[1148*3 + 2] = 0.366291f;
 	val_dir[1149*3 + 0] = 0.930917f;	val_dir[1149*3 + 1] = -0.063472f;	val_dir[1149*3 + 2] = 0.359673f;
 	val_dir[1150*3 + 0] = 0.934665f;	val_dir[1150*3 + 1] = -0.041541f;	val_dir[1150*3 + 2] = 0.353096f;
 	val_dir[1151*3 + 0] = 0.93780f;	val_dir[1151*3 + 1] = -0.020387f;	val_dir[1151*3 + 2] = 0.346578f;
 	val_dir[1152*3 + 0] = 0.940376f;	val_dir[1152*3 + 1] = 0.0f;	val_dir[1152*3 + 2] = 0.340136f;
 	val_dir[1153*3 + 0] = 0.954291f;	val_dir[1153*3 + 1] = 0.019881f;	val_dir[1153*3 + 2] = 0.298216f;
 	val_dir[1154*3 + 0] = 0.965810f;	val_dir[1154*3 + 1] = 0.039421f;	val_dir[1154*3 + 2] = 0.256235f;
 	val_dir[1155*3 + 0] = 0.974972f;	val_dir[1155*3 + 1] = 0.058498f;	val_dir[1155*3 + 2] = 0.214494f;
 	val_dir[1156*3 + 0] = 0.981859f;	val_dir[1156*3 + 1] = 0.077009f;	val_dir[1156*3 + 2] = 0.173269f;
 	val_dir[1157*3 + 0] = 0.986591f;	val_dir[1157*3 + 1] = 0.094865f;	val_dir[1157*3 + 2] = 0.132810f;
 	val_dir[1158*3 + 0] = 0.989316f;	val_dir[1158*3 + 1] = 0.111998f;	val_dir[1158*3 + 2] = 0.093332f;
 	val_dir[1159*3 + 0] = 0.990201f;	val_dir[1159*3 + 1] = 0.128359f;	val_dir[1159*3 + 2] = 0.055011f;
 	val_dir[1160*3 + 0] = 0.989426f;	val_dir[1160*3 + 1] = 0.143917f;	val_dir[1160*3 + 2] = 0.017990f;
 	val_dir[1161*3 + 0] = -0.161489f;	val_dir[1161*3 + 1] = -0.986875f;	val_dir[1161*3 + 2] = 0.0f;
 	val_dir[1162*3 + 0] = -0.146450f;	val_dir[1162*3 + 1] = -0.988540f;	val_dir[1162*3 + 2] = 0.036613f;
 	val_dir[1163*3 + 0] = -0.130573f;	val_dir[1163*3 + 1] = -0.988627f;	val_dir[1163*3 + 2] = 0.074613f;
 	val_dir[1164*3 + 0] = -0.113878f;	val_dir[1164*3 + 1] = -0.986947f;	val_dir[1164*3 + 2] = 0.113878f;
 	val_dir[1165*3 + 0] = -0.096404f;	val_dir[1165*3 + 1] = -0.983318f;	val_dir[1165*3 + 2] = 0.154246f;
 	val_dir[1166*3 + 0] = -0.078206f;	val_dir[1166*3 + 1] = -0.977577f;	val_dir[1166*3 + 2] = 0.195515f;
 	val_dir[1167*3 + 0] = -0.059362f;	val_dir[1167*3 + 1] = -0.969584f;	val_dir[1167*3 + 2] = 0.237449f;
 	val_dir[1168*3 + 0] = -0.039968f;	val_dir[1168*3 + 1] = -0.959233f;	val_dir[1168*3 + 2] = 0.279776f;
 	val_dir[1169*3 + 0] = -0.020137f;	val_dir[1169*3 + 1] = -0.946458f;	val_dir[1169*3 + 2] = 0.322198f;
 	val_dir[1170*3 + 0] = 0.0f;	val_dir[1170*3 + 1] = -0.931243f;	val_dir[1170*3 + 2] = 0.364399f;
 	val_dir[1171*3 + 0] = 0.020628f;	val_dir[1171*3 + 1] = -0.928279f;	val_dir[1171*3 + 2] = 0.371312f;
 	val_dir[1172*3 + 0] = 0.042033f;	val_dir[1172*3 + 1] = -0.924729f;	val_dir[1172*3 + 2] = 0.378298f;
 	val_dir[1173*3 + 0] = 0.064223f;	val_dir[1173*3 + 1] = -0.920537f;	val_dir[1173*3 + 2] = 0.385341f;
 	val_dir[1174*3 + 0] = 0.087204f;	val_dir[1174*3 + 1] = -0.915644f;	val_dir[1174*3 + 2] = 0.392419f;
 	val_dir[1175*3 + 0] = 0.110974f;	val_dir[1175*3 + 1] = -0.909988f;	val_dir[1175*3 + 2] = 0.399507f;
 	val_dir[1176*3 + 0] = 0.135526f;	val_dir[1176*3 + 1] = -0.903508f;	val_dir[1176*3 + 2] = 0.406579f;
 	val_dir[1177*3 + 0] = 0.160845f;	val_dir[1177*3 + 1] = -0.896137f;	val_dir[1177*3 + 2] = 0.413602f;
 	val_dir[1178*3 + 0] = 0.186908f;	val_dir[1178*3 + 1] = -0.887812f;	val_dir[1178*3 + 2] = 0.420542f;
 	val_dir[1179*3 + 0] = 0.213681f;	val_dir[1179*3 + 1] = -0.878466f;	val_dir[1179*3 + 2] = 0.427362f;
 	val_dir[1180*3 + 0] = 0.241121f;	val_dir[1180*3 + 1] = -0.868037f;	val_dir[1180*3 + 2] = 0.434019f;
 	val_dir[1181*3 + 0] = 0.269175f;	val_dir[1181*3 + 1] = -0.856465f;	val_dir[1181*3 + 2] = 0.440468f;
 	val_dir[1182*3 + 0] = 0.297775f;	val_dir[1182*3 + 1] = -0.843696f;	val_dir[1182*3 + 2] = 0.446662f;
 	val_dir[1183*3 + 0] = 0.326844f;	val_dir[1183*3 + 1] = -0.829680f;	val_dir[1183*3 + 2] = 0.452553f;
 	val_dir[1184*3 + 0] = 0.356291f;	val_dir[1184*3 + 1] = -0.814379f;	val_dir[1184*3 + 2] = 0.458088f;
 	val_dir[1185*3 + 0] = 0.386014f;	val_dir[1185*3 + 1] = -0.797762f;	val_dir[1185*3 + 2] = 0.463217f;
 	val_dir[1186*3 + 0] = 0.41590f;	val_dir[1186*3 + 1] = -0.779813f;	val_dir[1186*3 + 2] = 0.467888f;
 	val_dir[1187*3 + 0] = 0.445827f;	val_dir[1187*3 + 1] = -0.760529f;	val_dir[1187*3 + 2] = 0.472053f;
 	val_dir[1188*3 + 0] = 0.475665f;	val_dir[1188*3 + 1] = -0.739923f;	val_dir[1188*3 + 2] = 0.475665f;
 	val_dir[1189*3 + 0] = 0.505276f;	val_dir[1189*3 + 1] = -0.718024f;	val_dir[1189*3 + 2] = 0.478683f;
 	val_dir[1190*3 + 0] = 0.534522f;	val_dir[1190*3 + 1] = -0.694879f;	val_dir[1190*3 + 2] = 0.481070f;
 	val_dir[1191*3 + 0] = 0.563264f;	val_dir[1191*3 + 1] = -0.670552f;	val_dir[1191*3 + 2] = 0.482798f;
 	val_dir[1192*3 + 0] = 0.591364f;	val_dir[1192*3 + 1] = -0.645124f;	val_dir[1192*3 + 2] = 0.483843f;
 	val_dir[1193*3 + 0] = 0.618691f;	val_dir[1193*3 + 1] = -0.618691f;	val_dir[1193*3 + 2] = 0.484193f;
 	val_dir[1194*3 + 0] = 0.645124f;	val_dir[1194*3 + 1] = -0.591364f;	val_dir[1194*3 + 2] = 0.483843f;
 	val_dir[1195*3 + 0] = 0.670552f;	val_dir[1195*3 + 1] = -0.563264f;	val_dir[1195*3 + 2] = 0.482798f;
 	val_dir[1196*3 + 0] = 0.694879f;	val_dir[1196*3 + 1] = -0.534522f;	val_dir[1196*3 + 2] = 0.481070f;
 	val_dir[1197*3 + 0] = 0.718024f;	val_dir[1197*3 + 1] = -0.505276f;	val_dir[1197*3 + 2] = 0.478683f;
 	val_dir[1198*3 + 0] = 0.739923f;	val_dir[1198*3 + 1] = -0.475665f;	val_dir[1198*3 + 2] = 0.475665f;
 	val_dir[1199*3 + 0] = 0.760529f;	val_dir[1199*3 + 1] = -0.445827f;	val_dir[1199*3 + 2] = 0.472053f;
 	val_dir[1200*3 + 0] = 0.779813f;	val_dir[1200*3 + 1] = -0.41590f;	val_dir[1200*3 + 2] = 0.467888f;
 	val_dir[1201*3 + 0] = 0.797762f;	val_dir[1201*3 + 1] = -0.386014f;	val_dir[1201*3 + 2] = 0.463217f;
 	val_dir[1202*3 + 0] = 0.814379f;	val_dir[1202*3 + 1] = -0.356291f;	val_dir[1202*3 + 2] = 0.458088f;
 	val_dir[1203*3 + 0] = 0.829680f;	val_dir[1203*3 + 1] = -0.326844f;	val_dir[1203*3 + 2] = 0.452553f;
 	val_dir[1204*3 + 0] = 0.843696f;	val_dir[1204*3 + 1] = -0.297775f;	val_dir[1204*3 + 2] = 0.446662f;
 	val_dir[1205*3 + 0] = 0.856465f;	val_dir[1205*3 + 1] = -0.269175f;	val_dir[1205*3 + 2] = 0.440468f;
 	val_dir[1206*3 + 0] = 0.868037f;	val_dir[1206*3 + 1] = -0.241121f;	val_dir[1206*3 + 2] = 0.434019f;
 	val_dir[1207*3 + 0] = 0.878466f;	val_dir[1207*3 + 1] = -0.213681f;	val_dir[1207*3 + 2] = 0.427362f;
 	val_dir[1208*3 + 0] = 0.887812f;	val_dir[1208*3 + 1] = -0.186908f;	val_dir[1208*3 + 2] = 0.420542f;
 	val_dir[1209*3 + 0] = 0.896137f;	val_dir[1209*3 + 1] = -0.160845f;	val_dir[1209*3 + 2] = 0.413602f;
 	val_dir[1210*3 + 0] = 0.903508f;	val_dir[1210*3 + 1] = -0.135526f;	val_dir[1210*3 + 2] = 0.406579f;
 	val_dir[1211*3 + 0] = 0.909988f;	val_dir[1211*3 + 1] = -0.110974f;	val_dir[1211*3 + 2] = 0.399507f;
 	val_dir[1212*3 + 0] = 0.915644f;	val_dir[1212*3 + 1] = -0.087204f;	val_dir[1212*3 + 2] = 0.392419f;
 	val_dir[1213*3 + 0] = 0.920537f;	val_dir[1213*3 + 1] = -0.064223f;	val_dir[1213*3 + 2] = 0.385341f;
 	val_dir[1214*3 + 0] = 0.924729f;	val_dir[1214*3 + 1] = -0.042033f;	val_dir[1214*3 + 2] = 0.378298f;
 	val_dir[1215*3 + 0] = 0.928279f;	val_dir[1215*3 + 1] = -0.020628f;	val_dir[1215*3 + 2] = 0.371312f;
 	val_dir[1216*3 + 0] = 0.931243f;	val_dir[1216*3 + 1] = 0.0f;	val_dir[1216*3 + 2] = 0.364399f;
 	val_dir[1217*3 + 0] = 0.946458f;	val_dir[1217*3 + 1] = 0.020137f;	val_dir[1217*3 + 2] = 0.322198f;
 	val_dir[1218*3 + 0] = 0.959233f;	val_dir[1218*3 + 1] = 0.039968f;	val_dir[1218*3 + 2] = 0.279776f;
 	val_dir[1219*3 + 0] = 0.969584f;	val_dir[1219*3 + 1] = 0.059362f;	val_dir[1219*3 + 2] = 0.237449f;
 	val_dir[1220*3 + 0] = 0.977577f;	val_dir[1220*3 + 1] = 0.078206f;	val_dir[1220*3 + 2] = 0.195515f;
 	val_dir[1221*3 + 0] = 0.983318f;	val_dir[1221*3 + 1] = 0.096404f;	val_dir[1221*3 + 2] = 0.154246f;
 	val_dir[1222*3 + 0] = 0.986947f;	val_dir[1222*3 + 1] = 0.113878f;	val_dir[1222*3 + 2] = 0.113878f;
 	val_dir[1223*3 + 0] = 0.988627f;	val_dir[1223*3 + 1] = 0.130573f;	val_dir[1223*3 + 2] = 0.074613f;
 	val_dir[1224*3 + 0] = 0.988540f;	val_dir[1224*3 + 1] = 0.146450f;	val_dir[1224*3 + 2] = 0.036613f;
 	val_dir[1225*3 + 0] = 0.986875f;	val_dir[1225*3 + 1] = 0.161489f;	val_dir[1225*3 + 2] = 0.0f;
 	val_dir[1226*3 + 0] = -0.164372f;	val_dir[1226*3 + 1] = -0.986229f;	val_dir[1226*3 + 2] = 0.018264f;
 	val_dir[1227*3 + 0] = -0.149019f;	val_dir[1227*3 + 1] = -0.987254f;	val_dir[1227*3 + 2] = 0.055882f;
 	val_dir[1228*3 + 0] = -0.132810f;	val_dir[1228*3 + 1] = -0.986591f;	val_dir[1228*3 + 2] = 0.094865f;
 	val_dir[1229*3 + 0] = -0.115771f;	val_dir[1229*3 + 1] = -0.984050f;	val_dir[1229*3 + 2] = 0.135066f;
 	val_dir[1230*3 + 0] = -0.097945f;	val_dir[1230*3 + 1] = -0.979451f;	val_dir[1230*3 + 2] = 0.176301f;
 	val_dir[1231*3 + 0] = -0.079399f;	val_dir[1231*3 + 1] = -0.972636f;	val_dir[1231*3 + 2] = 0.218347f;
 	val_dir[1232*3 + 0] = -0.060217f;	val_dir[1232*3 + 1] = -0.963475f;	val_dir[1232*3 + 2] = 0.260941f;
 	val_dir[1233*3 + 0] = -0.040505f;	val_dir[1233*3 + 1] = -0.951877f;	val_dir[1233*3 + 2] = 0.303791f;
 	val_dir[1234*3 + 0] = -0.020387f;	val_dir[1234*3 + 1] = -0.93780f;	val_dir[1234*3 + 2] = 0.346578f;
 	val_dir[1235*3 + 0] = 0.0f;	val_dir[1235*3 + 1] = -0.921250f;	val_dir[1235*3 + 2] = 0.388972f;
 	val_dir[1236*3 + 0] = 0.020861f;	val_dir[1236*3 + 1] = -0.917863f;	val_dir[1236*3 + 2] = 0.396350f;
 	val_dir[1237*3 + 0] = 0.042505f;	val_dir[1237*3 + 1] = -0.913860f;	val_dir[1237*3 + 2] = 0.403799f;
 	val_dir[1238*3 + 0] = 0.064942f;	val_dir[1238*3 + 1] = -0.909185f;	val_dir[1238*3 + 2] = 0.411298f;
 	val_dir[1239*3 + 0] = 0.088173f;	val_dir[1239*3 + 1] = -0.903777f;	val_dir[1239*3 + 2] = 0.418823f;
 	val_dir[1240*3 + 0] = 0.112197f;	val_dir[1240*3 + 1] = -0.897574f;	val_dir[1240*3 + 2] = 0.426348f;
 	val_dir[1241*3 + 0] = 0.137002f;	val_dir[1241*3 + 1] = -0.890513f;	val_dir[1241*3 + 2] = 0.433840f;
 	val_dir[1242*3 + 0] = 0.162571f;	val_dir[1242*3 + 1] = -0.882528f;	val_dir[1242*3 + 2] = 0.441264f;
 	val_dir[1243*3 + 0] = 0.188877f;	val_dir[1243*3 + 1] = -0.873555f;	val_dir[1243*3 + 2] = 0.448583f;
 	val_dir[1244*3 + 0] = 0.215883f;	val_dir[1244*3 + 1] = -0.863530f;	val_dir[1244*3 + 2] = 0.455752f;
 	val_dir[1245*3 + 0] = 0.243541f;	val_dir[1245*3 + 1] = -0.852392f;	val_dir[1245*3 + 2] = 0.462727f;
 	val_dir[1246*3 + 0] = 0.271791f;	val_dir[1246*3 + 1] = -0.840083f;	val_dir[1246*3 + 2] = 0.469458f;
 	val_dir[1247*3 + 0] = 0.300564f;	val_dir[1247*3 + 1] = -0.826551f;	val_dir[1247*3 + 2] = 0.475893f;
 	val_dir[1248*3 + 0] = 0.329775f;	val_dir[1248*3 + 1] = -0.811754f;	val_dir[1248*3 + 2] = 0.481979f;
 	val_dir[1249*3 + 0] = 0.359329f;	val_dir[1249*3 + 1] = -0.795657f;	val_dir[1249*3 + 2] = 0.487661f;
 	val_dir[1250*3 + 0] = 0.389118f;	val_dir[1250*3 + 1] = -0.778237f;	val_dir[1250*3 + 2] = 0.492883f;
 	val_dir[1251*3 + 0] = 0.419026f;	val_dir[1251*3 + 1] = -0.759485f;	val_dir[1251*3 + 2] = 0.497594f;
 	val_dir[1252*3 + 0] = 0.448926f;	val_dir[1252*3 + 1] = -0.739407f;	val_dir[1252*3 + 2] = 0.501740f;
 	val_dir[1253*3 + 0] = 0.478683f;	val_dir[1253*3 + 1] = -0.718024f;	val_dir[1253*3 + 2] = 0.505276f;
 	val_dir[1254*3 + 0] = 0.508159f;	val_dir[1254*3 + 1] = -0.695376f;	val_dir[1254*3 + 2] = 0.508159f;
 	val_dir[1255*3 + 0] = 0.537215f;	val_dir[1255*3 + 1] = -0.671519f;	val_dir[1255*3 + 2] = 0.510355f;
 	val_dir[1256*3 + 0] = 0.565711f;	val_dir[1256*3 + 1] = -0.646527f;	val_dir[1256*3 + 2] = 0.511834f;
 	val_dir[1257*3 + 0] = 0.593512f;	val_dir[1257*3 + 1] = -0.620490f;	val_dir[1257*3 + 2] = 0.512578f;
 	val_dir[1258*3 + 0] = 0.620490f;	val_dir[1258*3 + 1] = -0.593512f;	val_dir[1258*3 + 2] = 0.512578f;
 	val_dir[1259*3 + 0] = 0.646527f;	val_dir[1259*3 + 1] = -0.565711f;	val_dir[1259*3 + 2] = 0.511834f;
 	val_dir[1260*3 + 0] = 0.671519f;	val_dir[1260*3 + 1] = -0.537215f;	val_dir[1260*3 + 2] = 0.510355f;
 	val_dir[1261*3 + 0] = 0.695376f;	val_dir[1261*3 + 1] = -0.508159f;	val_dir[1261*3 + 2] = 0.508159f;
 	val_dir[1262*3 + 0] = 0.718024f;	val_dir[1262*3 + 1] = -0.478683f;	val_dir[1262*3 + 2] = 0.505276f;
 	val_dir[1263*3 + 0] = 0.739407f;	val_dir[1263*3 + 1] = -0.448926f;	val_dir[1263*3 + 2] = 0.501740f;
 	val_dir[1264*3 + 0] = 0.759485f;	val_dir[1264*3 + 1] = -0.419026f;	val_dir[1264*3 + 2] = 0.497594f;
 	val_dir[1265*3 + 0] = 0.778237f;	val_dir[1265*3 + 1] = -0.389118f;	val_dir[1265*3 + 2] = 0.492883f;
 	val_dir[1266*3 + 0] = 0.795657f;	val_dir[1266*3 + 1] = -0.359329f;	val_dir[1266*3 + 2] = 0.487661f;
 	val_dir[1267*3 + 0] = 0.811754f;	val_dir[1267*3 + 1] = -0.329775f;	val_dir[1267*3 + 2] = 0.481979f;
 	val_dir[1268*3 + 0] = 0.826551f;	val_dir[1268*3 + 1] = -0.300564f;	val_dir[1268*3 + 2] = 0.475893f;
 	val_dir[1269*3 + 0] = 0.840083f;	val_dir[1269*3 + 1] = -0.271791f;	val_dir[1269*3 + 2] = 0.469458f;
 	val_dir[1270*3 + 0] = 0.852392f;	val_dir[1270*3 + 1] = -0.243541f;	val_dir[1270*3 + 2] = 0.462727f;
 	val_dir[1271*3 + 0] = 0.863530f;	val_dir[1271*3 + 1] = -0.215883f;	val_dir[1271*3 + 2] = 0.455752f;
 	val_dir[1272*3 + 0] = 0.873555f;	val_dir[1272*3 + 1] = -0.188877f;	val_dir[1272*3 + 2] = 0.448583f;
 	val_dir[1273*3 + 0] = 0.882528f;	val_dir[1273*3 + 1] = -0.162571f;	val_dir[1273*3 + 2] = 0.441264f;
 	val_dir[1274*3 + 0] = 0.890513f;	val_dir[1274*3 + 1] = -0.137002f;	val_dir[1274*3 + 2] = 0.433840f;
 	val_dir[1275*3 + 0] = 0.897574f;	val_dir[1275*3 + 1] = -0.112197f;	val_dir[1275*3 + 2] = 0.426348f;
 	val_dir[1276*3 + 0] = 0.903777f;	val_dir[1276*3 + 1] = -0.088173f;	val_dir[1276*3 + 2] = 0.418823f;
 	val_dir[1277*3 + 0] = 0.909185f;	val_dir[1277*3 + 1] = -0.064942f;	val_dir[1277*3 + 2] = 0.411298f;
 	val_dir[1278*3 + 0] = 0.913860f;	val_dir[1278*3 + 1] = -0.042505f;	val_dir[1278*3 + 2] = 0.403799f;
 	val_dir[1279*3 + 0] = 0.917863f;	val_dir[1279*3 + 1] = -0.020861f;	val_dir[1279*3 + 2] = 0.396350f;
 	val_dir[1280*3 + 0] = 0.921250f;	val_dir[1280*3 + 1] = 0.0f;	val_dir[1280*3 + 2] = 0.388972f;
 	val_dir[1281*3 + 0] = 0.93780f;	val_dir[1281*3 + 1] = 0.020387f;	val_dir[1281*3 + 2] = 0.346578f;
 	val_dir[1282*3 + 0] = 0.951877f;	val_dir[1282*3 + 1] = 0.040505f;	val_dir[1282*3 + 2] = 0.303791f;
 	val_dir[1283*3 + 0] = 0.963475f;	val_dir[1283*3 + 1] = 0.060217f;	val_dir[1283*3 + 2] = 0.260941f;
 	val_dir[1284*3 + 0] = 0.972636f;	val_dir[1284*3 + 1] = 0.079399f;	val_dir[1284*3 + 2] = 0.218347f;
 	val_dir[1285*3 + 0] = 0.979451f;	val_dir[1285*3 + 1] = 0.097945f;	val_dir[1285*3 + 2] = 0.176301f;
 	val_dir[1286*3 + 0] = 0.984050f;	val_dir[1286*3 + 1] = 0.115771f;	val_dir[1286*3 + 2] = 0.135066f;
 	val_dir[1287*3 + 0] = 0.986591f;	val_dir[1287*3 + 1] = 0.132810f;	val_dir[1287*3 + 2] = 0.094865f;
 	val_dir[1288*3 + 0] = 0.987254f;	val_dir[1288*3 + 1] = 0.149019f;	val_dir[1288*3 + 2] = 0.055882f;
 	val_dir[1289*3 + 0] = 0.986229f;	val_dir[1289*3 + 1] = 0.164372f;	val_dir[1289*3 + 2] = 0.018264f;
 	val_dir[1290*3 + 0] = -0.182089f;	val_dir[1290*3 + 1] = -0.983282f;	val_dir[1290*3 + 2] = 0.0f;
 	val_dir[1291*3 + 0] = -0.167299f;	val_dir[1291*3 + 1] = -0.985205f;	val_dir[1291*3 + 2] = 0.037178f;
 	val_dir[1292*3 + 0] = -0.151620f;	val_dir[1292*3 + 1] = -0.985527f;	val_dir[1292*3 + 2] = 0.075810f;
 	val_dir[1293*3 + 0] = -0.135066f;	val_dir[1293*3 + 1] = -0.984050f;	val_dir[1293*3 + 2] = 0.115771f;
 	val_dir[1294*3 + 0] = -0.117670f;	val_dir[1294*3 + 1] = -0.980581f;	val_dir[1294*3 + 2] = 0.156893f;
 	val_dir[1295*3 + 0] = -0.099484f;	val_dir[1295*3 + 1] = -0.974943f;	val_dir[1295*3 + 2] = 0.198968f;
 	val_dir[1296*3 + 0] = -0.080582f;	val_dir[1296*3 + 1] = -0.966988f;	val_dir[1296*3 + 2] = 0.241747f;
 	val_dir[1297*3 + 0] = -0.061059f;	val_dir[1297*3 + 1] = -0.956597f;	val_dir[1297*3 + 2] = 0.284944f;
 	val_dir[1298*3 + 0] = -0.041030f;	val_dir[1298*3 + 1] = -0.943701f;	val_dir[1298*3 + 2] = 0.328244f;
 	val_dir[1299*3 + 0] = -0.020628f;	val_dir[1299*3 + 1] = -0.928279f;	val_dir[1299*3 + 2] = 0.371312f;
 	val_dir[1300*3 + 0] = 0.0f;	val_dir[1300*3 + 1] = -0.910366f;	val_dir[1300*3 + 2] = 0.413803f;
 	val_dir[1301*3 + 0] = 0.021082f;	val_dir[1301*3 + 1] = -0.906520f;	val_dir[1301*3 + 2] = 0.421637f;
 	val_dir[1302*3 + 0] = 0.042954f;	val_dir[1302*3 + 1] = -0.902027f;	val_dir[1302*3 + 2] = 0.429537f;
 	val_dir[1303*3 + 0] = 0.065622f;	val_dir[1303*3 + 1] = -0.896831f;	val_dir[1303*3 + 2] = 0.437479f;
 	val_dir[1304*3 + 0] = 0.089087f;	val_dir[1304*3 + 1] = -0.890871f;	val_dir[1304*3 + 2] = 0.445435f;
 	val_dir[1305*3 + 0] = 0.113344f;	val_dir[1305*3 + 1] = -0.884083f;	val_dir[1305*3 + 2] = 0.453376f;
 	val_dir[1306*3 + 0] = 0.138380f;	val_dir[1306*3 + 1] = -0.876405f;	val_dir[1306*3 + 2] = 0.461266f;
 	val_dir[1307*3 + 0] = 0.164173f;	val_dir[1307*3 + 1] = -0.867770f;	val_dir[1307*3 + 2] = 0.469065f;
 	val_dir[1308*3 + 0] = 0.190693f;	val_dir[1308*3 + 1] = -0.858116f;	val_dir[1308*3 + 2] = 0.476731f;
 	val_dir[1309*3 + 0] = 0.217898f;	val_dir[1309*3 + 1] = -0.847381f;	val_dir[1309*3 + 2] = 0.484217f;
 	val_dir[1310*3 + 0] = 0.245737f;	val_dir[1310*3 + 1] = -0.835504f;	val_dir[1310*3 + 2] = 0.491473f;
 	val_dir[1311*3 + 0] = 0.274145f;	val_dir[1311*3 + 1] = -0.822434f;	val_dir[1311*3 + 2] = 0.498445f;
 	val_dir[1312*3 + 0] = 0.303046f;	val_dir[1312*3 + 1] = -0.808122f;	val_dir[1312*3 + 2] = 0.505076f;
 	val_dir[1313*3 + 0] = 0.332352f;	val_dir[1313*3 + 1] = -0.792530f;	val_dir[1313*3 + 2] = 0.511310f;
 	val_dir[1314*3 + 0] = 0.361961f;	val_dir[1314*3 + 1] = -0.775632f;	val_dir[1314*3 + 2] = 0.517088f;
 	val_dir[1315*3 + 0] = 0.391764f;	val_dir[1315*3 + 1] = -0.757410f;	val_dir[1315*3 + 2] = 0.522352f;
 	val_dir[1316*3 + 0] = 0.421637f;	val_dir[1316*3 + 1] = -0.737865f;	val_dir[1316*3 + 2] = 0.527046f;
 	val_dir[1317*3 + 0] = 0.451451f;	val_dir[1317*3 + 1] = -0.717011f;	val_dir[1317*3 + 2] = 0.531119f;
 	val_dir[1318*3 + 0] = 0.481070f;	val_dir[1318*3 + 1] = -0.694879f;	val_dir[1318*3 + 2] = 0.534522f;
 	val_dir[1319*3 + 0] = 0.510355f;	val_dir[1319*3 + 1] = -0.671519f;	val_dir[1319*3 + 2] = 0.537215f;
 	val_dir[1320*3 + 0] = 0.539164f;	val_dir[1320*3 + 1] = -0.646997f;	val_dir[1320*3 + 2] = 0.539164f;
 	val_dir[1321*3 + 0] = 0.567360f;	val_dir[1321*3 + 1] = -0.621395f;	val_dir[1321*3 + 2] = 0.540343f;
 	val_dir[1322*3 + 0] = 0.594812f;	val_dir[1322*3 + 1] = -0.594812f;	val_dir[1322*3 + 2] = 0.540738f;
 	val_dir[1323*3 + 0] = 0.621395f;	val_dir[1323*3 + 1] = -0.567360f;	val_dir[1323*3 + 2] = 0.540343f;
 	val_dir[1324*3 + 0] = 0.646997f;	val_dir[1324*3 + 1] = -0.539164f;	val_dir[1324*3 + 2] = 0.539164f;
 	val_dir[1325*3 + 0] = 0.671519f;	val_dir[1325*3 + 1] = -0.510355f;	val_dir[1325*3 + 2] = 0.537215f;
 	val_dir[1326*3 + 0] = 0.694879f;	val_dir[1326*3 + 1] = -0.481070f;	val_dir[1326*3 + 2] = 0.534522f;
 	val_dir[1327*3 + 0] = 0.717011f;	val_dir[1327*3 + 1] = -0.451451f;	val_dir[1327*3 + 2] = 0.531119f;
 	val_dir[1328*3 + 0] = 0.737865f;	val_dir[1328*3 + 1] = -0.421637f;	val_dir[1328*3 + 2] = 0.527046f;
 	val_dir[1329*3 + 0] = 0.757410f;	val_dir[1329*3 + 1] = -0.391764f;	val_dir[1329*3 + 2] = 0.522352f;
 	val_dir[1330*3 + 0] = 0.775632f;	val_dir[1330*3 + 1] = -0.361961f;	val_dir[1330*3 + 2] = 0.517088f;
 	val_dir[1331*3 + 0] = 0.792530f;	val_dir[1331*3 + 1] = -0.332352f;	val_dir[1331*3 + 2] = 0.511310f;
 	val_dir[1332*3 + 0] = 0.808122f;	val_dir[1332*3 + 1] = -0.303046f;	val_dir[1332*3 + 2] = 0.505076f;
 	val_dir[1333*3 + 0] = 0.822434f;	val_dir[1333*3 + 1] = -0.274145f;	val_dir[1333*3 + 2] = 0.498445f;
 	val_dir[1334*3 + 0] = 0.835504f;	val_dir[1334*3 + 1] = -0.245737f;	val_dir[1334*3 + 2] = 0.491473f;
 	val_dir[1335*3 + 0] = 0.847381f;	val_dir[1335*3 + 1] = -0.217898f;	val_dir[1335*3 + 2] = 0.484217f;
 	val_dir[1336*3 + 0] = 0.858116f;	val_dir[1336*3 + 1] = -0.190693f;	val_dir[1336*3 + 2] = 0.476731f;
 	val_dir[1337*3 + 0] = 0.867770f;	val_dir[1337*3 + 1] = -0.164173f;	val_dir[1337*3 + 2] = 0.469065f;
 	val_dir[1338*3 + 0] = 0.876405f;	val_dir[1338*3 + 1] = -0.138380f;	val_dir[1338*3 + 2] = 0.461266f;
 	val_dir[1339*3 + 0] = 0.884083f;	val_dir[1339*3 + 1] = -0.113344f;	val_dir[1339*3 + 2] = 0.453376f;
 	val_dir[1340*3 + 0] = 0.890871f;	val_dir[1340*3 + 1] = -0.089087f;	val_dir[1340*3 + 2] = 0.445435f;
 	val_dir[1341*3 + 0] = 0.896831f;	val_dir[1341*3 + 1] = -0.065622f;	val_dir[1341*3 + 2] = 0.437479f;
 	val_dir[1342*3 + 0] = 0.902027f;	val_dir[1342*3 + 1] = -0.042954f;	val_dir[1342*3 + 2] = 0.429537f;
 	val_dir[1343*3 + 0] = 0.906520f;	val_dir[1343*3 + 1] = -0.021082f;	val_dir[1343*3 + 2] = 0.421637f;
 	val_dir[1344*3 + 0] = 0.910366f;	val_dir[1344*3 + 1] = 0.0f;	val_dir[1344*3 + 2] = 0.413803f;
 	val_dir[1345*3 + 0] = 0.928279f;	val_dir[1345*3 + 1] = 0.020628f;	val_dir[1345*3 + 2] = 0.371312f;
 	val_dir[1346*3 + 0] = 0.943701f;	val_dir[1346*3 + 1] = 0.041030f;	val_dir[1346*3 + 2] = 0.328244f;
 	val_dir[1347*3 + 0] = 0.956597f;	val_dir[1347*3 + 1] = 0.061059f;	val_dir[1347*3 + 2] = 0.284944f;
 	val_dir[1348*3 + 0] = 0.966988f;	val_dir[1348*3 + 1] = 0.080582f;	val_dir[1348*3 + 2] = 0.241747f;
 	val_dir[1349*3 + 0] = 0.974943f;	val_dir[1349*3 + 1] = 0.099484f;	val_dir[1349*3 + 2] = 0.198968f;
 	val_dir[1350*3 + 0] = 0.980581f;	val_dir[1350*3 + 1] = 0.117670f;	val_dir[1350*3 + 2] = 0.156893f;
 	val_dir[1351*3 + 0] = 0.984050f;	val_dir[1351*3 + 1] = 0.135066f;	val_dir[1351*3 + 2] = 0.115771f;
 	val_dir[1352*3 + 0] = 0.985527f;	val_dir[1352*3 + 1] = 0.151620f;	val_dir[1352*3 + 2] = 0.075810f;
 	val_dir[1353*3 + 0] = 0.985205f;	val_dir[1353*3 + 1] = 0.167299f;	val_dir[1353*3 + 2] = 0.037178f;
 	val_dir[1354*3 + 0] = 0.983282f;	val_dir[1354*3 + 1] = 0.182089f;	val_dir[1354*3 + 2] = 0.0f;
 	val_dir[1355*3 + 0] = -0.185376f;	val_dir[1355*3 + 1] = -0.982493f;	val_dir[1355*3 + 2] = 0.018538f;
 	val_dir[1356*3 + 0] = -0.170267f;	val_dir[1356*3 + 1] = -0.983762f;	val_dir[1356*3 + 2] = 0.056756f;
 	val_dir[1357*3 + 0] = -0.154246f;	val_dir[1357*3 + 1] = -0.983318f;	val_dir[1357*3 + 2] = 0.096404f;
 	val_dir[1358*3 + 0] = -0.137334f;	val_dir[1358*3 + 1] = -0.980958f;	val_dir[1358*3 + 2] = 0.137334f;
 	val_dir[1359*3 + 0] = -0.119570f;	val_dir[1359*3 + 1] = -0.976491f;	val_dir[1359*3 + 2] = 0.179355f;
 	val_dir[1360*3 + 0] = -0.101015f;	val_dir[1360*3 + 1] = -0.969746f;	val_dir[1360*3 + 2] = 0.222234f;
 	val_dir[1361*3 + 0] = -0.081752f;	val_dir[1361*3 + 1] = -0.960585f;	val_dir[1361*3 + 2] = 0.265694f;
 	val_dir[1362*3 + 0] = -0.061885f;	val_dir[1362*3 + 1] = -0.948908f;	val_dir[1362*3 + 2] = 0.309426f;
 	val_dir[1363*3 + 0] = -0.041541f;	val_dir[1363*3 + 1] = -0.934665f;	val_dir[1363*3 + 2] = 0.353096f;
 	val_dir[1364*3 + 0] = -0.020861f;	val_dir[1364*3 + 1] = -0.917863f;	val_dir[1364*3 + 2] = 0.396350f;
 	val_dir[1365*3 + 0] = 0.0f;	val_dir[1365*3 + 1] = -0.898567f;	val_dir[1365*3 + 2] = 0.438835f;
 	val_dir[1366*3 + 0] = 0.021291f;	val_dir[1366*3 + 1] = -0.894224f;	val_dir[1366*3 + 2] = 0.447112f;
 	val_dir[1367*3 + 0] = 0.043376f;	val_dir[1367*3 + 1] = -0.889206f;	val_dir[1367*3 + 2] = 0.455447f;
 	val_dir[1368*3 + 0] = 0.066259f;	val_dir[1368*3 + 1] = -0.883452f;	val_dir[1368*3 + 2] = 0.463812f;
 	val_dir[1369*3 + 0] = 0.089939f;	val_dir[1369*3 + 1] = -0.876903f;	val_dir[1369*3 + 2] = 0.472178f;
 	val_dir[1370*3 + 0] = 0.114407f;	val_dir[1370*3 + 1] = -0.869495f;	val_dir[1370*3 + 2] = 0.480510f;
 	val_dir[1371*3 + 0] = 0.139648f;	val_dir[1371*3 + 1] = -0.861164f;	val_dir[1371*3 + 2] = 0.488769f;
 	val_dir[1372*3 + 0] = 0.165637f;	val_dir[1372*3 + 1] = -0.851847f;	val_dir[1372*3 + 2] = 0.496911f;
 	val_dir[1373*3 + 0] = 0.192339f;	val_dir[1373*3 + 1] = -0.841482f;	val_dir[1373*3 + 2] = 0.504889f;
 	val_dir[1374*3 + 0] = 0.219708f;	val_dir[1374*3 + 1] = -0.830009f;	val_dir[1374*3 + 2] = 0.512653f;
 	val_dir[1375*3 + 0] = 0.247689f;	val_dir[1375*3 + 1] = -0.817373f;	val_dir[1375*3 + 2] = 0.520146f;
 	val_dir[1376*3 + 0] = 0.276211f;	val_dir[1376*3 + 1] = -0.803523f;	val_dir[1376*3 + 2] = 0.527312f;
 	val_dir[1377*3 + 0] = 0.305194f;	val_dir[1377*3 + 1] = -0.788419f;	val_dir[1377*3 + 2] = 0.534090f;
 	val_dir[1378*3 + 0] = 0.334545f;	val_dir[1378*3 + 1] = -0.772027f;	val_dir[1378*3 + 2] = 0.540419f;
 	val_dir[1379*3 + 0] = 0.364159f;	val_dir[1379*3 + 1] = -0.754329f;	val_dir[1379*3 + 2] = 0.546238f;
 	val_dir[1380*3 + 0] = 0.393919f;	val_dir[1380*3 + 1] = -0.735316f;	val_dir[1380*3 + 2] = 0.551487f;
 	val_dir[1381*3 + 0] = 0.423702f;	val_dir[1381*3 + 1] = -0.714997f;	val_dir[1381*3 + 2] = 0.556108f;
 	val_dir[1382*3 + 0] = 0.453374f;	val_dir[1382*3 + 1] = -0.693395f;	val_dir[1382*3 + 2] = 0.560050f;
 	val_dir[1383*3 + 0] = 0.482798f;	val_dir[1383*3 + 1] = -0.670552f;	val_dir[1383*3 + 2] = 0.563264f;
 	val_dir[1384*3 + 0] = 0.511834f;	val_dir[1384*3 + 1] = -0.646527f;	val_dir[1384*3 + 2] = 0.565711f;
 	val_dir[1385*3 + 0] = 0.540343f;	val_dir[1385*3 + 1] = -0.621395f;	val_dir[1385*3 + 2] = 0.567360f;
 	val_dir[1386*3 + 0] = 0.568190f;	val_dir[1386*3 + 1] = -0.595247f;	val_dir[1386*3 + 2] = 0.568190f;
 	val_dir[1387*3 + 0] = 0.595247f;	val_dir[1387*3 + 1] = -0.568190f;	val_dir[1387*3 + 2] = 0.568190f;
 	val_dir[1388*3 + 0] = 0.621395f;	val_dir[1388*3 + 1] = -0.540343f;	val_dir[1388*3 + 2] = 0.567360f;
 	val_dir[1389*3 + 0] = 0.646527f;	val_dir[1389*3 + 1] = -0.511834f;	val_dir[1389*3 + 2] = 0.565711f;
 	val_dir[1390*3 + 0] = 0.670552f;	val_dir[1390*3 + 1] = -0.482798f;	val_dir[1390*3 + 2] = 0.563264f;
 	val_dir[1391*3 + 0] = 0.693395f;	val_dir[1391*3 + 1] = -0.453374f;	val_dir[1391*3 + 2] = 0.560050f;
 	val_dir[1392*3 + 0] = 0.714997f;	val_dir[1392*3 + 1] = -0.423702f;	val_dir[1392*3 + 2] = 0.556108f;
 	val_dir[1393*3 + 0] = 0.735316f;	val_dir[1393*3 + 1] = -0.393919f;	val_dir[1393*3 + 2] = 0.551487f;
 	val_dir[1394*3 + 0] = 0.754329f;	val_dir[1394*3 + 1] = -0.364159f;	val_dir[1394*3 + 2] = 0.546238f;
 	val_dir[1395*3 + 0] = 0.772027f;	val_dir[1395*3 + 1] = -0.334545f;	val_dir[1395*3 + 2] = 0.540419f;
 	val_dir[1396*3 + 0] = 0.788419f;	val_dir[1396*3 + 1] = -0.305194f;	val_dir[1396*3 + 2] = 0.534090f;
 	val_dir[1397*3 + 0] = 0.803523f;	val_dir[1397*3 + 1] = -0.276211f;	val_dir[1397*3 + 2] = 0.527312f;
 	val_dir[1398*3 + 0] = 0.817373f;	val_dir[1398*3 + 1] = -0.247689f;	val_dir[1398*3 + 2] = 0.520146f;
 	val_dir[1399*3 + 0] = 0.830009f;	val_dir[1399*3 + 1] = -0.219708f;	val_dir[1399*3 + 2] = 0.512653f;
 	val_dir[1400*3 + 0] = 0.841482f;	val_dir[1400*3 + 1] = -0.192339f;	val_dir[1400*3 + 2] = 0.504889f;
 	val_dir[1401*3 + 0] = 0.851847f;	val_dir[1401*3 + 1] = -0.165637f;	val_dir[1401*3 + 2] = 0.496911f;
 	val_dir[1402*3 + 0] = 0.861164f;	val_dir[1402*3 + 1] = -0.139648f;	val_dir[1402*3 + 2] = 0.488769f;
 	val_dir[1403*3 + 0] = 0.869495f;	val_dir[1403*3 + 1] = -0.114407f;	val_dir[1403*3 + 2] = 0.480510f;
 	val_dir[1404*3 + 0] = 0.876903f;	val_dir[1404*3 + 1] = -0.089939f;	val_dir[1404*3 + 2] = 0.472178f;
 	val_dir[1405*3 + 0] = 0.883452f;	val_dir[1405*3 + 1] = -0.066259f;	val_dir[1405*3 + 2] = 0.463812f;
 	val_dir[1406*3 + 0] = 0.889206f;	val_dir[1406*3 + 1] = -0.043376f;	val_dir[1406*3 + 2] = 0.455447f;
 	val_dir[1407*3 + 0] = 0.894224f;	val_dir[1407*3 + 1] = -0.021291f;	val_dir[1407*3 + 2] = 0.447112f;
 	val_dir[1408*3 + 0] = 0.898567f;	val_dir[1408*3 + 1] = 0.0f;	val_dir[1408*3 + 2] = 0.438835f;
 	val_dir[1409*3 + 0] = 0.917863f;	val_dir[1409*3 + 1] = 0.020861f;	val_dir[1409*3 + 2] = 0.396350f;
 	val_dir[1410*3 + 0] = 0.934665f;	val_dir[1410*3 + 1] = 0.041541f;	val_dir[1410*3 + 2] = 0.353096f;
 	val_dir[1411*3 + 0] = 0.948908f;	val_dir[1411*3 + 1] = 0.061885f;	val_dir[1411*3 + 2] = 0.309426f;
 	val_dir[1412*3 + 0] = 0.960585f;	val_dir[1412*3 + 1] = 0.081752f;	val_dir[1412*3 + 2] = 0.265694f;
 	val_dir[1413*3 + 0] = 0.969746f;	val_dir[1413*3 + 1] = 0.101015f;	val_dir[1413*3 + 2] = 0.222234f;
 	val_dir[1414*3 + 0] = 0.976491f;	val_dir[1414*3 + 1] = 0.119570f;	val_dir[1414*3 + 2] = 0.179355f;
 	val_dir[1415*3 + 0] = 0.980958f;	val_dir[1415*3 + 1] = 0.137334f;	val_dir[1415*3 + 2] = 0.137334f;
 	val_dir[1416*3 + 0] = 0.983318f;	val_dir[1416*3 + 1] = 0.154246f;	val_dir[1416*3 + 2] = 0.096404f;
 	val_dir[1417*3 + 0] = 0.983762f;	val_dir[1417*3 + 1] = 0.170267f;	val_dir[1417*3 + 2] = 0.056756f;
 	val_dir[1418*3 + 0] = 0.982493f;	val_dir[1418*3 + 1] = 0.185376f;	val_dir[1418*3 + 2] = 0.018538f;
 	val_dir[1419*3 + 0] = -0.203216f;	val_dir[1419*3 + 1] = -0.979134f;	val_dir[1419*3 + 2] = 0.0f;
 	val_dir[1420*3 + 0] = -0.188713f;	val_dir[1420*3 + 1] = -0.981307f;	val_dir[1420*3 + 2] = 0.037743f;
 	val_dir[1421*3 + 0] = -0.173269f;	val_dir[1421*3 + 1] = -0.981859f;	val_dir[1421*3 + 2] = 0.077009f;
 	val_dir[1422*3 + 0] = -0.156893f;	val_dir[1422*3 + 1] = -0.980581f;	val_dir[1422*3 + 2] = 0.117670f;
 	val_dir[1423*3 + 0] = -0.139610f;	val_dir[1423*3 + 1] = -0.977267f;	val_dir[1423*3 + 2] = 0.159554f;
 	val_dir[1424*3 + 0] = -0.121466f;	val_dir[1424*3 + 1] = -0.971732f;	val_dir[1424*3 + 2] = 0.202444f;
 	val_dir[1425*3 + 0] = -0.102533f;	val_dir[1425*3 + 1] = -0.963811f;	val_dir[1425*3 + 2] = 0.246079f;
 	val_dir[1426*3 + 0] = -0.082903f;	val_dir[1426*3 + 1] = -0.953381f;	val_dir[1426*3 + 2] = 0.290159f;
 	val_dir[1427*3 + 0] = -0.062691f;	val_dir[1427*3 + 1] = -0.940361f;	val_dir[1427*3 + 2] = 0.334351f;
 	val_dir[1428*3 + 0] = -0.042033f;	val_dir[1428*3 + 1] = -0.924729f;	val_dir[1428*3 + 2] = 0.378298f;
 	val_dir[1429*3 + 0] = -0.021082f;	val_dir[1429*3 + 1] = -0.906520f;	val_dir[1429*3 + 2] = 0.421637f;
 	val_dir[1430*3 + 0] = 0.0f;	val_dir[1430*3 + 1] = -0.885832f;	val_dir[1430*3 + 2] = 0.464007f;
 	val_dir[1431*3 + 0] = 0.021487f;	val_dir[1431*3 + 1] = -0.880957f;	val_dir[1431*3 + 2] = 0.472709f;
 	val_dir[1432*3 + 0] = 0.043769f;	val_dir[1432*3 + 1] = -0.875376f;	val_dir[1432*3 + 2] = 0.481457f;
 	val_dir[1433*3 + 0] = 0.066848f;	val_dir[1433*3 + 1] = -0.869030f;	val_dir[1433*3 + 2] = 0.490222f;
 	val_dir[1434*3 + 0] = 0.090722f;	val_dir[1434*3 + 1] = -0.861857f;	val_dir[1434*3 + 2] = 0.498970f;
 	val_dir[1435*3 + 0] = 0.115378f;	val_dir[1435*3 + 1] = -0.853796f;	val_dir[1435*3 + 2] = 0.507662f;
 	val_dir[1436*3 + 0] = 0.140797f;	val_dir[1436*3 + 1] = -0.844782f;	val_dir[1436*3 + 2] = 0.516256f;
 	val_dir[1437*3 + 0] = 0.166951f;	val_dir[1437*3 + 1] = -0.834754f;	val_dir[1437*3 + 2] = 0.524703f;
 	val_dir[1438*3 + 0] = 0.193801f;	val_dir[1438*3 + 1] = -0.823653f;	val_dir[1438*3 + 2] = 0.532952f;
 	val_dir[1439*3 + 0] = 0.221297f;	val_dir[1439*3 + 1] = -0.811421f;	val_dir[1439*3 + 2] = 0.540947f;
 	val_dir[1440*3 + 0] = 0.249377f;	val_dir[1440*3 + 1] = -0.798007f;	val_dir[1440*3 + 2] = 0.548630f;
 	val_dir[1441*3 + 0] = 0.277969f;	val_dir[1441*3 + 1] = -0.783368f;	val_dir[1441*3 + 2] = 0.555939f;
 	val_dir[1442*3 + 0] = 0.306987f;	val_dir[1442*3 + 1] = -0.767467f;	val_dir[1442*3 + 2] = 0.562809f;
 	val_dir[1443*3 + 0] = 0.336332f;	val_dir[1443*3 + 1] = -0.750279f;	val_dir[1443*3 + 2] = 0.569177f;
 	val_dir[1444*3 + 0] = 0.365896f;	val_dir[1444*3 + 1] = -0.731792f;	val_dir[1444*3 + 2] = 0.574979f;
 	val_dir[1445*3 + 0] = 0.395559f;	val_dir[1445*3 + 1] = -0.712007f;	val_dir[1445*3 + 2] = 0.580154f;
 	val_dir[1446*3 + 0] = 0.425195f;	val_dir[1446*3 + 1] = -0.690942f;	val_dir[1446*3 + 2] = 0.584643f;
 	val_dir[1447*3 + 0] = 0.454669f;	val_dir[1447*3 + 1] = -0.668631f;	val_dir[1447*3 + 2] = 0.588395f;
 	val_dir[1448*3 + 0] = 0.483843f;	val_dir[1448*3 + 1] = -0.645124f;	val_dir[1448*3 + 2] = 0.591364f;
 	val_dir[1449*3 + 0] = 0.512578f;	val_dir[1449*3 + 1] = -0.620490f;	val_dir[1449*3 + 2] = 0.593512f;
 	val_dir[1450*3 + 0] = 0.540738f;	val_dir[1450*3 + 1] = -0.594812f;	val_dir[1450*3 + 2] = 0.594812f;
 	val_dir[1451*3 + 0] = 0.568190f;	val_dir[1451*3 + 1] = -0.568190f;	val_dir[1451*3 + 2] = 0.595247f;
 	val_dir[1452*3 + 0] = 0.594812f;	val_dir[1452*3 + 1] = -0.540738f;	val_dir[1452*3 + 2] = 0.594812f;
 	val_dir[1453*3 + 0] = 0.620490f;	val_dir[1453*3 + 1] = -0.512578f;	val_dir[1453*3 + 2] = 0.593512f;
 	val_dir[1454*3 + 0] = 0.645124f;	val_dir[1454*3 + 1] = -0.483843f;	val_dir[1454*3 + 2] = 0.591364f;
 	val_dir[1455*3 + 0] = 0.668631f;	val_dir[1455*3 + 1] = -0.454669f;	val_dir[1455*3 + 2] = 0.588395f;
 	val_dir[1456*3 + 0] = 0.690942f;	val_dir[1456*3 + 1] = -0.425195f;	val_dir[1456*3 + 2] = 0.584643f;
 	val_dir[1457*3 + 0] = 0.712007f;	val_dir[1457*3 + 1] = -0.395559f;	val_dir[1457*3 + 2] = 0.580154f;
 	val_dir[1458*3 + 0] = 0.731792f;	val_dir[1458*3 + 1] = -0.365896f;	val_dir[1458*3 + 2] = 0.574979f;
 	val_dir[1459*3 + 0] = 0.750279f;	val_dir[1459*3 + 1] = -0.336332f;	val_dir[1459*3 + 2] = 0.569177f;
 	val_dir[1460*3 + 0] = 0.767467f;	val_dir[1460*3 + 1] = -0.306987f;	val_dir[1460*3 + 2] = 0.562809f;
 	val_dir[1461*3 + 0] = 0.783368f;	val_dir[1461*3 + 1] = -0.277969f;	val_dir[1461*3 + 2] = 0.555939f;
 	val_dir[1462*3 + 0] = 0.798007f;	val_dir[1462*3 + 1] = -0.249377f;	val_dir[1462*3 + 2] = 0.548630f;
 	val_dir[1463*3 + 0] = 0.811421f;	val_dir[1463*3 + 1] = -0.221297f;	val_dir[1463*3 + 2] = 0.540947f;
 	val_dir[1464*3 + 0] = 0.823653f;	val_dir[1464*3 + 1] = -0.193801f;	val_dir[1464*3 + 2] = 0.532952f;
 	val_dir[1465*3 + 0] = 0.834754f;	val_dir[1465*3 + 1] = -0.166951f;	val_dir[1465*3 + 2] = 0.524703f;
 	val_dir[1466*3 + 0] = 0.844782f;	val_dir[1466*3 + 1] = -0.140797f;	val_dir[1466*3 + 2] = 0.516256f;
 	val_dir[1467*3 + 0] = 0.853796f;	val_dir[1467*3 + 1] = -0.115378f;	val_dir[1467*3 + 2] = 0.507662f;
 	val_dir[1468*3 + 0] = 0.861857f;	val_dir[1468*3 + 1] = -0.090722f;	val_dir[1468*3 + 2] = 0.498970f;
 	val_dir[1469*3 + 0] = 0.869030f;	val_dir[1469*3 + 1] = -0.066848f;	val_dir[1469*3 + 2] = 0.490222f;
 	val_dir[1470*3 + 0] = 0.875376f;	val_dir[1470*3 + 1] = -0.043769f;	val_dir[1470*3 + 2] = 0.481457f;
 	val_dir[1471*3 + 0] = 0.880957f;	val_dir[1471*3 + 1] = -0.021487f;	val_dir[1471*3 + 2] = 0.472709f;
 	val_dir[1472*3 + 0] = 0.885832f;	val_dir[1472*3 + 1] = 0.0f;	val_dir[1472*3 + 2] = 0.464007f;
 	val_dir[1473*3 + 0] = 0.906520f;	val_dir[1473*3 + 1] = 0.021082f;	val_dir[1473*3 + 2] = 0.421637f;
 	val_dir[1474*3 + 0] = 0.924729f;	val_dir[1474*3 + 1] = 0.042033f;	val_dir[1474*3 + 2] = 0.378298f;
 	val_dir[1475*3 + 0] = 0.940361f;	val_dir[1475*3 + 1] = 0.062691f;	val_dir[1475*3 + 2] = 0.334351f;
 	val_dir[1476*3 + 0] = 0.953381f;	val_dir[1476*3 + 1] = 0.082903f;	val_dir[1476*3 + 2] = 0.290159f;
 	val_dir[1477*3 + 0] = 0.963811f;	val_dir[1477*3 + 1] = 0.102533f;	val_dir[1477*3 + 2] = 0.246079f;
 	val_dir[1478*3 + 0] = 0.971732f;	val_dir[1478*3 + 1] = 0.121466f;	val_dir[1478*3 + 2] = 0.202444f;
 	val_dir[1479*3 + 0] = 0.977267f;	val_dir[1479*3 + 1] = 0.139610f;	val_dir[1479*3 + 2] = 0.159554f;
 	val_dir[1480*3 + 0] = 0.980581f;	val_dir[1480*3 + 1] = 0.156893f;	val_dir[1480*3 + 2] = 0.117670f;
 	val_dir[1481*3 + 0] = 0.981859f;	val_dir[1481*3 + 1] = 0.173269f;	val_dir[1481*3 + 2] = 0.077009f;
 	val_dir[1482*3 + 0] = 0.981307f;	val_dir[1482*3 + 1] = 0.188713f;	val_dir[1482*3 + 2] = 0.037743f;
 	val_dir[1483*3 + 0] = 0.979134f;	val_dir[1483*3 + 1] = 0.203216f;	val_dir[1483*3 + 2] = 0.0f;
 	val_dir[1484*3 + 0] = -0.206922f;	val_dir[1484*3 + 1] = -0.978177f;	val_dir[1484*3 + 2] = 0.018811f;
 	val_dir[1485*3 + 0] = -0.192095f;	val_dir[1485*3 + 1] = -0.979683f;	val_dir[1485*3 + 2] = 0.057628f;
 	val_dir[1486*3 + 0] = -0.176301f;	val_dir[1486*3 + 1] = -0.979451f;	val_dir[1486*3 + 2] = 0.097945f;
 	val_dir[1487*3 + 0] = -0.159554f;	val_dir[1487*3 + 1] = -0.977267f;	val_dir[1487*3 + 2] = 0.139610f;
 	val_dir[1488*3 + 0] = -0.141885f;	val_dir[1488*3 + 1] = -0.972929f;	val_dir[1488*3 + 2] = 0.182424f;
 	val_dir[1489*3 + 0] = -0.123351f;	val_dir[1489*3 + 1] = -0.966252f;	val_dir[1489*3 + 2] = 0.226144f;
 	val_dir[1490*3 + 0] = -0.104031f;	val_dir[1490*3 + 1] = -0.957088f;	val_dir[1490*3 + 2] = 0.270481f;
 	val_dir[1491*3 + 0] = -0.084029f;	val_dir[1491*3 + 1] = -0.945328f;	val_dir[1491*3 + 2] = 0.315109f;
 	val_dir[1492*3 + 0] = -0.063472f;	val_dir[1492*3 + 1] = -0.930917f;	val_dir[1492*3 + 2] = 0.359673f;
 	val_dir[1493*3 + 0] = -0.042505f;	val_dir[1493*3 + 1] = -0.913860f;	val_dir[1493*3 + 2] = 0.403799f;
 	val_dir[1494*3 + 0] = -0.021291f;	val_dir[1494*3 + 1] = -0.894224f;	val_dir[1494*3 + 2] = 0.447112f;
 	val_dir[1495*3 + 0] = 0.0f;	val_dir[1495*3 + 1] = -0.872143f;	val_dir[1495*3 + 2] = 0.489251f;
 	val_dir[1496*3 + 0] = 0.021668f;	val_dir[1496*3 + 1] = -0.866703f;	val_dir[1496*3 + 2] = 0.498354f;
 	val_dir[1497*3 + 0] = 0.044130f;	val_dir[1497*3 + 1] = -0.860527f;	val_dir[1497*3 + 2] = 0.507490f;
 	val_dir[1498*3 + 0] = 0.067386f;	val_dir[1498*3 + 1] = -0.853556f;	val_dir[1498*3 + 2] = 0.516626f;
 	val_dir[1499*3 + 0] = 0.091430f;	val_dir[1499*3 + 1] = -0.845728f;	val_dir[1499*3 + 2] = 0.525723f;
 	val_dir[1500*3 + 0] = 0.116248f;	val_dir[1500*3 + 1] = -0.836983f;	val_dir[1500*3 + 2] = 0.534739f;
 	val_dir[1501*3 + 0] = 0.141816f;	val_dir[1501*3 + 1] = -0.827259f;	val_dir[1501*3 + 2] = 0.543627f;
 	val_dir[1502*3 + 0] = 0.168102f;	val_dir[1502*3 + 1] = -0.816497f;	val_dir[1502*3 + 2] = 0.552336f;
 	val_dir[1503*3 + 0] = 0.195064f;	val_dir[1503*3 + 1] = -0.804639f;	val_dir[1503*3 + 2] = 0.560809f;
 	val_dir[1504*3 + 0] = 0.222647f;	val_dir[1504*3 + 1] = -0.791633f;	val_dir[1504*3 + 2] = 0.568986f;
 	val_dir[1505*3 + 0] = 0.250785f;	val_dir[1505*3 + 1] = -0.777433f;	val_dir[1505*3 + 2] = 0.576805f;
 	val_dir[1506*3 + 0] = 0.27940f;	val_dir[1506*3 + 1] = -0.762001f;	val_dir[1506*3 + 2] = 0.584201f;
 	val_dir[1507*3 + 0] = 0.308403f;	val_dir[1507*3 + 1] = -0.745307f;	val_dir[1507*3 + 2] = 0.591105f;
 	val_dir[1508*3 + 0] = 0.337691f;	val_dir[1508*3 + 1] = -0.727334f;	val_dir[1508*3 + 2] = 0.597453f;
 	val_dir[1509*3 + 0] = 0.367152f;	val_dir[1509*3 + 1] = -0.708079f;	val_dir[1509*3 + 2] = 0.603178f;
 	val_dir[1510*3 + 0] = 0.396664f;	val_dir[1510*3 + 1] = -0.687552f;	val_dir[1510*3 + 2] = 0.608219f;
 	val_dir[1511*3 + 0] = 0.426099f;	val_dir[1511*3 + 1] = -0.665780f;	val_dir[1511*3 + 2] = 0.612517f;
 	val_dir[1512*3 + 0] = 0.455321f;	val_dir[1512*3 + 1] = -0.642806f;	val_dir[1512*3 + 2] = 0.616022f;
 	val_dir[1513*3 + 0] = 0.484193f;	val_dir[1513*3 + 1] = -0.618691f;	val_dir[1513*3 + 2] = 0.618691f;
 	val_dir[1514*3 + 0] = 0.512578f;	val_dir[1514*3 + 1] = -0.593512f;	val_dir[1514*3 + 2] = 0.620490f;
 	val_dir[1515*3 + 0] = 0.540343f;	val_dir[1515*3 + 1] = -0.567360f;	val_dir[1515*3 + 2] = 0.621395f;
 	val_dir[1516*3 + 0] = 0.567360f;	val_dir[1516*3 + 1] = -0.540343f;	val_dir[1516*3 + 2] = 0.621395f;
 	val_dir[1517*3 + 0] = 0.593512f;	val_dir[1517*3 + 1] = -0.512578f;	val_dir[1517*3 + 2] = 0.620490f;
 	val_dir[1518*3 + 0] = 0.618691f;	val_dir[1518*3 + 1] = -0.484193f;	val_dir[1518*3 + 2] = 0.618691f;
 	val_dir[1519*3 + 0] = 0.642806f;	val_dir[1519*3 + 1] = -0.455321f;	val_dir[1519*3 + 2] = 0.616022f;
 	val_dir[1520*3 + 0] = 0.665780f;	val_dir[1520*3 + 1] = -0.426099f;	val_dir[1520*3 + 2] = 0.612517f;
 	val_dir[1521*3 + 0] = 0.687552f;	val_dir[1521*3 + 1] = -0.396664f;	val_dir[1521*3 + 2] = 0.608219f;
 	val_dir[1522*3 + 0] = 0.708079f;	val_dir[1522*3 + 1] = -0.367152f;	val_dir[1522*3 + 2] = 0.603178f;
 	val_dir[1523*3 + 0] = 0.727334f;	val_dir[1523*3 + 1] = -0.337691f;	val_dir[1523*3 + 2] = 0.597453f;
 	val_dir[1524*3 + 0] = 0.745307f;	val_dir[1524*3 + 1] = -0.308403f;	val_dir[1524*3 + 2] = 0.591105f;
 	val_dir[1525*3 + 0] = 0.762001f;	val_dir[1525*3 + 1] = -0.27940f;	val_dir[1525*3 + 2] = 0.584201f;
 	val_dir[1526*3 + 0] = 0.777433f;	val_dir[1526*3 + 1] = -0.250785f;	val_dir[1526*3 + 2] = 0.576805f;
 	val_dir[1527*3 + 0] = 0.791633f;	val_dir[1527*3 + 1] = -0.222647f;	val_dir[1527*3 + 2] = 0.568986f;
 	val_dir[1528*3 + 0] = 0.804639f;	val_dir[1528*3 + 1] = -0.195064f;	val_dir[1528*3 + 2] = 0.560809f;
 	val_dir[1529*3 + 0] = 0.816497f;	val_dir[1529*3 + 1] = -0.168102f;	val_dir[1529*3 + 2] = 0.552336f;
 	val_dir[1530*3 + 0] = 0.827259f;	val_dir[1530*3 + 1] = -0.141816f;	val_dir[1530*3 + 2] = 0.543627f;
 	val_dir[1531*3 + 0] = 0.836983f;	val_dir[1531*3 + 1] = -0.116248f;	val_dir[1531*3 + 2] = 0.534739f;
 	val_dir[1532*3 + 0] = 0.845728f;	val_dir[1532*3 + 1] = -0.091430f;	val_dir[1532*3 + 2] = 0.525723f;
 	val_dir[1533*3 + 0] = 0.853556f;	val_dir[1533*3 + 1] = -0.067386f;	val_dir[1533*3 + 2] = 0.516626f;
 	val_dir[1534*3 + 0] = 0.860527f;	val_dir[1534*3 + 1] = -0.044130f;	val_dir[1534*3 + 2] = 0.507490f;
 	val_dir[1535*3 + 0] = 0.866703f;	val_dir[1535*3 + 1] = -0.021668f;	val_dir[1535*3 + 2] = 0.498354f;
 	val_dir[1536*3 + 0] = 0.872143f;	val_dir[1536*3 + 1] = 0.0f;	val_dir[1536*3 + 2] = 0.489251f;
 	val_dir[1537*3 + 0] = 0.894224f;	val_dir[1537*3 + 1] = 0.021291f;	val_dir[1537*3 + 2] = 0.447112f;
 	val_dir[1538*3 + 0] = 0.913860f;	val_dir[1538*3 + 1] = 0.042505f;	val_dir[1538*3 + 2] = 0.403799f;
 	val_dir[1539*3 + 0] = 0.930917f;	val_dir[1539*3 + 1] = 0.063472f;	val_dir[1539*3 + 2] = 0.359673f;
 	val_dir[1540*3 + 0] = 0.945328f;	val_dir[1540*3 + 1] = 0.084029f;	val_dir[1540*3 + 2] = 0.315109f;
 	val_dir[1541*3 + 0] = 0.957088f;	val_dir[1541*3 + 1] = 0.104031f;	val_dir[1541*3 + 2] = 0.270481f;
 	val_dir[1542*3 + 0] = 0.966252f;	val_dir[1542*3 + 1] = 0.123351f;	val_dir[1542*3 + 2] = 0.226144f;
 	val_dir[1543*3 + 0] = 0.972929f;	val_dir[1543*3 + 1] = 0.141885f;	val_dir[1543*3 + 2] = 0.182424f;
 	val_dir[1544*3 + 0] = 0.977267f;	val_dir[1544*3 + 1] = 0.159554f;	val_dir[1544*3 + 2] = 0.139610f;
 	val_dir[1545*3 + 0] = 0.979451f;	val_dir[1545*3 + 1] = 0.176301f;	val_dir[1545*3 + 2] = 0.097945f;
 	val_dir[1546*3 + 0] = 0.979683f;	val_dir[1546*3 + 1] = 0.192095f;	val_dir[1546*3 + 2] = 0.057628f;
 	val_dir[1547*3 + 0] = 0.978177f;	val_dir[1547*3 + 1] = 0.206922f;	val_dir[1547*3 + 2] = 0.018811f;
 	val_dir[1548*3 + 0] = -0.224860f;	val_dir[1548*3 + 1] = -0.974391f;	val_dir[1548*3 + 2] = 0.0f;
 	val_dir[1549*3 + 0] = -0.210683f;	val_dir[1549*3 + 1] = -0.976804f;	val_dir[1549*3 + 2] = 0.038306f;
 	val_dir[1550*3 + 0] = -0.195515f;	val_dir[1550*3 + 1] = -0.977577f;	val_dir[1550*3 + 2] = 0.078206f;
 	val_dir[1551*3 + 0] = -0.179355f;	val_dir[1551*3 + 1] = -0.976491f;	val_dir[1551*3 + 2] = 0.119570f;
 	val_dir[1552*3 + 0] = -0.162221f;	val_dir[1552*3 + 1] = -0.973329f;	val_dir[1552*3 + 2] = 0.162221f;
 	val_dir[1553*3 + 0] = -0.144154f;	val_dir[1553*3 + 1] = -0.967890f;	val_dir[1553*3 + 2] = 0.205934f;
 	val_dir[1554*3 + 0] = -0.125218f;	val_dir[1554*3 + 1] = -0.960001f;	val_dir[1554*3 + 2] = 0.250435f;
 	val_dir[1555*3 + 0] = -0.105503f;	val_dir[1555*3 + 1] = -0.949528f;	val_dir[1555*3 + 2] = 0.295409f;
 	val_dir[1556*3 + 0] = -0.085126f;	val_dir[1556*3 + 1] = -0.936382f;	val_dir[1556*3 + 2] = 0.340503f;
 	val_dir[1557*3 + 0] = -0.064223f;	val_dir[1557*3 + 1] = -0.920537f;	val_dir[1557*3 + 2] = 0.385341f;
 	val_dir[1558*3 + 0] = -0.042954f;	val_dir[1558*3 + 1] = -0.902027f;	val_dir[1558*3 + 2] = 0.429537f;
 	val_dir[1559*3 + 0] = -0.021487f;	val_dir[1559*3 + 1] = -0.880957f;	val_dir[1559*3 + 2] = 0.472709f;
 	val_dir[1560*3 + 0] = 0.0f;	val_dir[1560*3 + 1] = -0.857493f;	val_dir[1560*3 + 2] = 0.514496f;
 	val_dir[1561*3 + 0] = 0.021832f;	val_dir[1561*3 + 1] = -0.851455f;	val_dir[1561*3 + 2] = 0.523973f;
 	val_dir[1562*3 + 0] = 0.044455f;	val_dir[1562*3 + 1] = -0.844653f;	val_dir[1562*3 + 2] = 0.533465f;
 	val_dir[1563*3 + 0] = 0.067867f;	val_dir[1563*3 + 1] = -0.837027f;	val_dir[1563*3 + 2] = 0.542936f;
 	val_dir[1564*3 + 0] = 0.092057f;	val_dir[1564*3 + 1] = -0.828517f;	val_dir[1564*3 + 2] = 0.552345f;
 	val_dir[1565*3 + 0] = 0.117009f;	val_dir[1565*3 + 1] = -0.819064f;	val_dir[1565*3 + 2] = 0.561644f;
 	val_dir[1566*3 + 0] = 0.142695f;	val_dir[1566*3 + 1] = -0.808608f;	val_dir[1566*3 + 2] = 0.570782f;
 	val_dir[1567*3 + 0] = 0.169080f;	val_dir[1567*3 + 1] = -0.797092f;	val_dir[1567*3 + 2] = 0.579703f;
 	val_dir[1568*3 + 0] = 0.196116f;	val_dir[1568*3 + 1] = -0.784465f;	val_dir[1568*3 + 2] = 0.588348f;
 	val_dir[1569*3 + 0] = 0.223745f;	val_dir[1569*3 + 1] = -0.770677f;	val_dir[1569*3 + 2] = 0.596653f;
 	val_dir[1570*3 + 0] = 0.251896f;	val_dir[1570*3 + 1] = -0.755689f;	val_dir[1570*3 + 2] = 0.604551f;
 	val_dir[1571*3 + 0] = 0.280488f;	val_dir[1571*3 + 1] = -0.739469f;	val_dir[1571*3 + 2] = 0.611974f;
 	val_dir[1572*3 + 0] = 0.309426f;	val_dir[1572*3 + 1] = -0.721995f;	val_dir[1572*3 + 2] = 0.618853f;
 	val_dir[1573*3 + 0] = 0.338606f;	val_dir[1573*3 + 1] = -0.703259f;	val_dir[1573*3 + 2] = 0.625119f;
 	val_dir[1574*3 + 0] = 0.367912f;	val_dir[1574*3 + 1] = -0.683265f;	val_dir[1574*3 + 2] = 0.630706f;
 	val_dir[1575*3 + 0] = 0.397220f;	val_dir[1575*3 + 1] = -0.662034f;	val_dir[1575*3 + 2] = 0.635553f;
 	val_dir[1576*3 + 0] = 0.426401f;	val_dir[1576*3 + 1] = -0.639602f;	val_dir[1576*3 + 2] = 0.639602f;
 	val_dir[1577*3 + 0] = 0.455321f;	val_dir[1577*3 + 1] = -0.616022f;	val_dir[1577*3 + 2] = 0.642806f;
 	val_dir[1578*3 + 0] = 0.483843f;	val_dir[1578*3 + 1] = -0.591364f;	val_dir[1578*3 + 2] = 0.645124f;
 	val_dir[1579*3 + 0] = 0.511834f;	val_dir[1579*3 + 1] = -0.565711f;	val_dir[1579*3 + 2] = 0.646527f;
 	val_dir[1580*3 + 0] = 0.539164f;	val_dir[1580*3 + 1] = -0.539164f;	val_dir[1580*3 + 2] = 0.646997f;
 	val_dir[1581*3 + 0] = 0.565711f;	val_dir[1581*3 + 1] = -0.511834f;	val_dir[1581*3 + 2] = 0.646527f;
 	val_dir[1582*3 + 0] = 0.591364f;	val_dir[1582*3 + 1] = -0.483843f;	val_dir[1582*3 + 2] = 0.645124f;
 	val_dir[1583*3 + 0] = 0.616022f;	val_dir[1583*3 + 1] = -0.455321f;	val_dir[1583*3 + 2] = 0.642806f;
 	val_dir[1584*3 + 0] = 0.639602f;	val_dir[1584*3 + 1] = -0.426401f;	val_dir[1584*3 + 2] = 0.639602f;
 	val_dir[1585*3 + 0] = 0.662034f;	val_dir[1585*3 + 1] = -0.397220f;	val_dir[1585*3 + 2] = 0.635553f;
 	val_dir[1586*3 + 0] = 0.683265f;	val_dir[1586*3 + 1] = -0.367912f;	val_dir[1586*3 + 2] = 0.630706f;
 	val_dir[1587*3 + 0] = 0.703259f;	val_dir[1587*3 + 1] = -0.338606f;	val_dir[1587*3 + 2] = 0.625119f;
 	val_dir[1588*3 + 0] = 0.721995f;	val_dir[1588*3 + 1] = -0.309426f;	val_dir[1588*3 + 2] = 0.618853f;
 	val_dir[1589*3 + 0] = 0.739469f;	val_dir[1589*3 + 1] = -0.280488f;	val_dir[1589*3 + 2] = 0.611974f;
 	val_dir[1590*3 + 0] = 0.755689f;	val_dir[1590*3 + 1] = -0.251896f;	val_dir[1590*3 + 2] = 0.604551f;
 	val_dir[1591*3 + 0] = 0.770677f;	val_dir[1591*3 + 1] = -0.223745f;	val_dir[1591*3 + 2] = 0.596653f;
 	val_dir[1592*3 + 0] = 0.784465f;	val_dir[1592*3 + 1] = -0.196116f;	val_dir[1592*3 + 2] = 0.588348f;
 	val_dir[1593*3 + 0] = 0.797092f;	val_dir[1593*3 + 1] = -0.169080f;	val_dir[1593*3 + 2] = 0.579703f;
 	val_dir[1594*3 + 0] = 0.808608f;	val_dir[1594*3 + 1] = -0.142695f;	val_dir[1594*3 + 2] = 0.570782f;
 	val_dir[1595*3 + 0] = 0.819064f;	val_dir[1595*3 + 1] = -0.117009f;	val_dir[1595*3 + 2] = 0.561644f;
 	val_dir[1596*3 + 0] = 0.828517f;	val_dir[1596*3 + 1] = -0.092057f;	val_dir[1596*3 + 2] = 0.552345f;
 	val_dir[1597*3 + 0] = 0.837027f;	val_dir[1597*3 + 1] = -0.067867f;	val_dir[1597*3 + 2] = 0.542936f;
 	val_dir[1598*3 + 0] = 0.844653f;	val_dir[1598*3 + 1] = -0.044455f;	val_dir[1598*3 + 2] = 0.533465f;
 	val_dir[1599*3 + 0] = 0.851455f;	val_dir[1599*3 + 1] = -0.021832f;	val_dir[1599*3 + 2] = 0.523973f;
 	val_dir[1600*3 + 0] = 0.857493f;	val_dir[1600*3 + 1] = 0.0f;	val_dir[1600*3 + 2] = 0.514496f;
 	val_dir[1601*3 + 0] = 0.880957f;	val_dir[1601*3 + 1] = 0.021487f;	val_dir[1601*3 + 2] = 0.472709f;
 	val_dir[1602*3 + 0] = 0.902027f;	val_dir[1602*3 + 1] = 0.042954f;	val_dir[1602*3 + 2] = 0.429537f;
 	val_dir[1603*3 + 0] = 0.920537f;	val_dir[1603*3 + 1] = 0.064223f;	val_dir[1603*3 + 2] = 0.385341f;
 	val_dir[1604*3 + 0] = 0.936382f;	val_dir[1604*3 + 1] = 0.085126f;	val_dir[1604*3 + 2] = 0.340503f;
 	val_dir[1605*3 + 0] = 0.949528f;	val_dir[1605*3 + 1] = 0.105503f;	val_dir[1605*3 + 2] = 0.295409f;
 	val_dir[1606*3 + 0] = 0.960001f;	val_dir[1606*3 + 1] = 0.125218f;	val_dir[1606*3 + 2] = 0.250435f;
 	val_dir[1607*3 + 0] = 0.967890f;	val_dir[1607*3 + 1] = 0.144154f;	val_dir[1607*3 + 2] = 0.205934f;
 	val_dir[1608*3 + 0] = 0.973329f;	val_dir[1608*3 + 1] = 0.162221f;	val_dir[1608*3 + 2] = 0.162221f;
 	val_dir[1609*3 + 0] = 0.976491f;	val_dir[1609*3 + 1] = 0.179355f;	val_dir[1609*3 + 2] = 0.119570f;
 	val_dir[1610*3 + 0] = 0.977577f;	val_dir[1610*3 + 1] = 0.195515f;	val_dir[1610*3 + 2] = 0.078206f;
 	val_dir[1611*3 + 0] = 0.976804f;	val_dir[1611*3 + 1] = 0.210683f;	val_dir[1611*3 + 2] = 0.038306f;
 	val_dir[1612*3 + 0] = 0.974391f;	val_dir[1612*3 + 1] = 0.224860f;	val_dir[1612*3 + 2] = 0.0f;
 	val_dir[1613*3 + 0] = -0.228998f;	val_dir[1613*3 + 1] = -0.973240f;	val_dir[1613*3 + 2] = 0.019083f;
 	val_dir[1614*3 + 0] = -0.214494f;	val_dir[1614*3 + 1] = -0.974972f;	val_dir[1614*3 + 2] = 0.058498f;
 	val_dir[1615*3 + 0] = -0.198968f;	val_dir[1615*3 + 1] = -0.974943f;	val_dir[1615*3 + 2] = 0.099484f;
 	val_dir[1616*3 + 0] = -0.182424f;	val_dir[1616*3 + 1] = -0.972929f;	val_dir[1616*3 + 2] = 0.141885f;
 	val_dir[1617*3 + 0] = -0.164887f;	val_dir[1617*3 + 1] = -0.968712f;	val_dir[1617*3 + 2] = 0.185498f;
 	val_dir[1618*3 + 0] = -0.146406f;	val_dir[1618*3 + 1] = -0.962099f;	val_dir[1618*3 + 2] = 0.230067f;
 	val_dir[1619*3 + 0] = -0.127057f;	val_dir[1619*3 + 1] = -0.952928f;	val_dir[1619*3 + 2] = 0.275290f;
 	val_dir[1620*3 + 0] = -0.106941f;	val_dir[1620*3 + 1] = -0.941082f;	val_dir[1620*3 + 2] = 0.320824f;
 	val_dir[1621*3 + 0] = -0.086186f;	val_dir[1621*3 + 1] = -0.92650f;	val_dir[1621*3 + 2] = 0.366291f;
 	val_dir[1622*3 + 0] = -0.064942f;	val_dir[1622*3 + 1] = -0.909185f;	val_dir[1622*3 + 2] = 0.411298f;
 	val_dir[1623*3 + 0] = -0.043376f;	val_dir[1623*3 + 1] = -0.889206f;	val_dir[1623*3 + 2] = 0.455447f;
 	val_dir[1624*3 + 0] = -0.021668f;	val_dir[1624*3 + 1] = -0.866703f;	val_dir[1624*3 + 2] = 0.498354f;
 	val_dir[1625*3 + 0] = 0.0f;	val_dir[1625*3 + 1] = -0.841879f;	val_dir[1625*3 + 2] = 0.539666f;
 	val_dir[1626*3 + 0] = 0.021979f;	val_dir[1626*3 + 1] = -0.835215f;	val_dir[1626*3 + 2] = 0.549484f;
 	val_dir[1627*3 + 0] = 0.044744f;	val_dir[1627*3 + 1] = -0.827759f;	val_dir[1627*3 + 2] = 0.559297f;
 	val_dir[1628*3 + 0] = 0.068288f;	val_dir[1628*3 + 1] = -0.819453f;	val_dir[1628*3 + 2] = 0.569064f;
 	val_dir[1629*3 + 0] = 0.092599f;	val_dir[1629*3 + 1] = -0.810237f;	val_dir[1629*3 + 2] = 0.578741f;
 	val_dir[1630*3 + 0] = 0.117655f;	val_dir[1630*3 + 1] = -0.800055f;	val_dir[1630*3 + 2] = 0.588276f;
 	val_dir[1631*3 + 0] = 0.143427f;	val_dir[1631*3 + 1] = -0.788851f;	val_dir[1631*3 + 2] = 0.597614f;
 	val_dir[1632*3 + 0] = 0.169875f;	val_dir[1632*3 + 1] = -0.776571f;	val_dir[1632*3 + 2] = 0.606696f;
 	val_dir[1633*3 + 0] = 0.196946f;	val_dir[1633*3 + 1] = -0.763167f;	val_dir[1633*3 + 2] = 0.615457f;
 	val_dir[1634*3 + 0] = 0.224579f;	val_dir[1634*3 + 1] = -0.748598f;	val_dir[1634*3 + 2] = 0.623831f;
 	val_dir[1635*3 + 0] = 0.252699f;	val_dir[1635*3 + 1] = -0.732828f;	val_dir[1635*3 + 2] = 0.631748f;
 	val_dir[1636*3 + 0] = 0.281220f;	val_dir[1636*3 + 1] = -0.715834f;	val_dir[1636*3 + 2] = 0.639138f;
 	val_dir[1637*3 + 0] = 0.310045f;	val_dir[1637*3 + 1] = -0.697602f;	val_dir[1637*3 + 2] = 0.645928f;
 	val_dir[1638*3 + 0] = 0.339066f;	val_dir[1638*3 + 1] = -0.678133f;	val_dir[1638*3 + 2] = 0.652051f;
 	val_dir[1639*3 + 0] = 0.368166f;	val_dir[1639*3 + 1] = -0.657440f;	val_dir[1639*3 + 2] = 0.657440f;
 	val_dir[1640*3 + 0] = 0.397220f;	val_dir[1640*3 + 1] = -0.635553f;	val_dir[1640*3 + 2] = 0.662034f;
 	val_dir[1641*3 + 0] = 0.426099f;	val_dir[1641*3 + 1] = -0.612517f;	val_dir[1641*3 + 2] = 0.665780f;
 	val_dir[1642*3 + 0] = 0.454669f;	val_dir[1642*3 + 1] = -0.588395f;	val_dir[1642*3 + 2] = 0.668631f;
 	val_dir[1643*3 + 0] = 0.482798f;	val_dir[1643*3 + 1] = -0.563264f;	val_dir[1643*3 + 2] = 0.670552f;
 	val_dir[1644*3 + 0] = 0.510355f;	val_dir[1644*3 + 1] = -0.537215f;	val_dir[1644*3 + 2] = 0.671519f;
 	val_dir[1645*3 + 0] = 0.537215f;	val_dir[1645*3 + 1] = -0.510355f;	val_dir[1645*3 + 2] = 0.671519f;
 	val_dir[1646*3 + 0] = 0.563264f;	val_dir[1646*3 + 1] = -0.482798f;	val_dir[1646*3 + 2] = 0.670552f;
 	val_dir[1647*3 + 0] = 0.588395f;	val_dir[1647*3 + 1] = -0.454669f;	val_dir[1647*3 + 2] = 0.668631f;
 	val_dir[1648*3 + 0] = 0.612517f;	val_dir[1648*3 + 1] = -0.426099f;	val_dir[1648*3 + 2] = 0.665780f;
 	val_dir[1649*3 + 0] = 0.635553f;	val_dir[1649*3 + 1] = -0.397220f;	val_dir[1649*3 + 2] = 0.662034f;
 	val_dir[1650*3 + 0] = 0.657440f;	val_dir[1650*3 + 1] = -0.368166f;	val_dir[1650*3 + 2] = 0.657440f;
 	val_dir[1651*3 + 0] = 0.678133f;	val_dir[1651*3 + 1] = -0.339066f;	val_dir[1651*3 + 2] = 0.652051f;
 	val_dir[1652*3 + 0] = 0.697602f;	val_dir[1652*3 + 1] = -0.310045f;	val_dir[1652*3 + 2] = 0.645928f;
 	val_dir[1653*3 + 0] = 0.715834f;	val_dir[1653*3 + 1] = -0.281220f;	val_dir[1653*3 + 2] = 0.639138f;
 	val_dir[1654*3 + 0] = 0.732828f;	val_dir[1654*3 + 1] = -0.252699f;	val_dir[1654*3 + 2] = 0.631748f;
 	val_dir[1655*3 + 0] = 0.748598f;	val_dir[1655*3 + 1] = -0.224579f;	val_dir[1655*3 + 2] = 0.623831f;
 	val_dir[1656*3 + 0] = 0.763167f;	val_dir[1656*3 + 1] = -0.196946f;	val_dir[1656*3 + 2] = 0.615457f;
 	val_dir[1657*3 + 0] = 0.776571f;	val_dir[1657*3 + 1] = -0.169875f;	val_dir[1657*3 + 2] = 0.606696f;
 	val_dir[1658*3 + 0] = 0.788851f;	val_dir[1658*3 + 1] = -0.143427f;	val_dir[1658*3 + 2] = 0.597614f;
 	val_dir[1659*3 + 0] = 0.800055f;	val_dir[1659*3 + 1] = -0.117655f;	val_dir[1659*3 + 2] = 0.588276f;
 	val_dir[1660*3 + 0] = 0.810237f;	val_dir[1660*3 + 1] = -0.092599f;	val_dir[1660*3 + 2] = 0.578741f;
 	val_dir[1661*3 + 0] = 0.819453f;	val_dir[1661*3 + 1] = -0.068288f;	val_dir[1661*3 + 2] = 0.569064f;
 	val_dir[1662*3 + 0] = 0.827759f;	val_dir[1662*3 + 1] = -0.044744f;	val_dir[1662*3 + 2] = 0.559297f;
 	val_dir[1663*3 + 0] = 0.835215f;	val_dir[1663*3 + 1] = -0.021979f;	val_dir[1663*3 + 2] = 0.549484f;
 	val_dir[1664*3 + 0] = 0.841879f;	val_dir[1664*3 + 1] = 0.0f;	val_dir[1664*3 + 2] = 0.539666f;
 	val_dir[1665*3 + 0] = 0.866703f;	val_dir[1665*3 + 1] = 0.021668f;	val_dir[1665*3 + 2] = 0.498354f;
 	val_dir[1666*3 + 0] = 0.889206f;	val_dir[1666*3 + 1] = 0.043376f;	val_dir[1666*3 + 2] = 0.455447f;
 	val_dir[1667*3 + 0] = 0.909185f;	val_dir[1667*3 + 1] = 0.064942f;	val_dir[1667*3 + 2] = 0.411298f;
 	val_dir[1668*3 + 0] = 0.92650f;	val_dir[1668*3 + 1] = 0.086186f;	val_dir[1668*3 + 2] = 0.366291f;
 	val_dir[1669*3 + 0] = 0.941082f;	val_dir[1669*3 + 1] = 0.106941f;	val_dir[1669*3 + 2] = 0.320824f;
 	val_dir[1670*3 + 0] = 0.952928f;	val_dir[1670*3 + 1] = 0.127057f;	val_dir[1670*3 + 2] = 0.275290f;
 	val_dir[1671*3 + 0] = 0.962099f;	val_dir[1671*3 + 1] = 0.146406f;	val_dir[1671*3 + 2] = 0.230067f;
 	val_dir[1672*3 + 0] = 0.968712f;	val_dir[1672*3 + 1] = 0.164887f;	val_dir[1672*3 + 2] = 0.185498f;
 	val_dir[1673*3 + 0] = 0.972929f;	val_dir[1673*3 + 1] = 0.182424f;	val_dir[1673*3 + 2] = 0.141885f;
 	val_dir[1674*3 + 0] = 0.974943f;	val_dir[1674*3 + 1] = 0.198968f;	val_dir[1674*3 + 2] = 0.099484f;
 	val_dir[1675*3 + 0] = 0.974972f;	val_dir[1675*3 + 1] = 0.214494f;	val_dir[1675*3 + 2] = 0.058498f;
 	val_dir[1676*3 + 0] = 0.973240f;	val_dir[1676*3 + 1] = 0.228998f;	val_dir[1676*3 + 2] = 0.019083f;
 	val_dir[1677*3 + 0] = -0.247004f;	val_dir[1677*3 + 1] = -0.969015f;	val_dir[1677*3 + 2] = 0.0f;
 	val_dir[1678*3 + 0] = -0.233197f;	val_dir[1678*3 + 1] = -0.971653f;	val_dir[1678*3 + 2] = 0.038866f;
 	val_dir[1679*3 + 0] = -0.218347f;	val_dir[1679*3 + 1] = -0.972636f;	val_dir[1679*3 + 2] = 0.079399f;
 	val_dir[1680*3 + 0] = -0.202444f;	val_dir[1680*3 + 1] = -0.971732f;	val_dir[1680*3 + 2] = 0.121466f;
 	val_dir[1681*3 + 0] = -0.185498f;	val_dir[1681*3 + 1] = -0.968712f;	val_dir[1681*3 + 2] = 0.164887f;
 	val_dir[1682*3 + 0] = -0.167542f;	val_dir[1682*3 + 1] = -0.963364f;	val_dir[1682*3 + 2] = 0.209427f;
 	val_dir[1683*3 + 0] = -0.148634f;	val_dir[1683*3 + 1] = -0.955502f;	val_dir[1683*3 + 2] = 0.254801f;
 	val_dir[1684*3 + 0] = -0.128861f;	val_dir[1684*3 + 1] = -0.944981f;	val_dir[1684*3 + 2] = 0.300676f;
 	val_dir[1685*3 + 0] = -0.108338f;	val_dir[1685*3 + 1] = -0.931705f;	val_dir[1685*3 + 2] = 0.346681f;
 	val_dir[1686*3 + 0] = -0.087204f;	val_dir[1686*3 + 1] = -0.915644f;	val_dir[1686*3 + 2] = 0.392419f;
 	val_dir[1687*3 + 0] = -0.065622f;	val_dir[1687*3 + 1] = -0.896831f;	val_dir[1687*3 + 2] = 0.437479f;
 	val_dir[1688*3 + 0] = -0.043769f;	val_dir[1688*3 + 1] = -0.875376f;	val_dir[1688*3 + 2] = 0.481457f;
 	val_dir[1689*3 + 0] = -0.021832f;	val_dir[1689*3 + 1] = -0.851455f;	val_dir[1689*3 + 2] = 0.523973f;
 	val_dir[1690*3 + 0] = 0.0f;	val_dir[1690*3 + 1] = -0.825307f;	val_dir[1690*3 + 2] = 0.564684f;
 	val_dir[1691*3 + 0] = 0.022108f;	val_dir[1691*3 + 1] = -0.817992f;	val_dir[1691*3 + 2] = 0.574805f;
 	val_dir[1692*3 + 0] = 0.044992f;	val_dir[1692*3 + 1] = -0.809858f;	val_dir[1692*3 + 2] = 0.584898f;
 	val_dir[1693*3 + 0] = 0.068644f;	val_dir[1693*3 + 1] = -0.800850f;	val_dir[1693*3 + 2] = 0.594917f;
 	val_dir[1694*3 + 0] = 0.093048f;	val_dir[1694*3 + 1] = -0.790912f;	val_dir[1694*3 + 2] = 0.604815f;
 	val_dir[1695*3 + 0] = 0.118180f;	val_dir[1695*3 + 1] = -0.779987f;	val_dir[1695*3 + 2] = 0.614535f;
 	val_dir[1696*3 + 0] = 0.144005f;	val_dir[1696*3 + 1] = -0.768025f;	val_dir[1696*3 + 2] = 0.624020f;
 	val_dir[1697*3 + 0] = 0.170478f;	val_dir[1697*3 + 1] = -0.754976f;	val_dir[1697*3 + 2] = 0.633205f;
 	val_dir[1698*3 + 0] = 0.197546f;	val_dir[1698*3 + 1] = -0.740797f;	val_dir[1698*3 + 2] = 0.642024f;
 	val_dir[1699*3 + 0] = 0.225141f;	val_dir[1699*3 + 1] = -0.725454f;	val_dir[1699*3 + 2] = 0.650407f;
 	val_dir[1700*3 + 0] = 0.253185f;	val_dir[1700*3 + 1] = -0.708918f;	val_dir[1700*3 + 2] = 0.658281f;
 	val_dir[1701*3 + 0] = 0.281589f;	val_dir[1701*3 + 1] = -0.691173f;	val_dir[1701*3 + 2] = 0.665574f;
 	val_dir[1702*3 + 0] = 0.310253f;	val_dir[1702*3 + 1] = -0.672214f;	val_dir[1702*3 + 2] = 0.672214f;
 	val_dir[1703*3 + 0] = 0.339066f;	val_dir[1703*3 + 1] = -0.652051f;	val_dir[1703*3 + 2] = 0.678133f;
 	val_dir[1704*3 + 0] = 0.367912f;	val_dir[1704*3 + 1] = -0.630706f;	val_dir[1704*3 + 2] = 0.683265f;
 	val_dir[1705*3 + 0] = 0.396664f;	val_dir[1705*3 + 1] = -0.608219f;	val_dir[1705*3 + 2] = 0.687552f;
 	val_dir[1706*3 + 0] = 0.425195f;	val_dir[1706*3 + 1] = -0.584643f;	val_dir[1706*3 + 2] = 0.690942f;
 	val_dir[1707*3 + 0] = 0.453374f;	val_dir[1707*3 + 1] = -0.560050f;	val_dir[1707*3 + 2] = 0.693395f;
 	val_dir[1708*3 + 0] = 0.481070f;	val_dir[1708*3 + 1] = -0.534522f;	val_dir[1708*3 + 2] = 0.694879f;
 	val_dir[1709*3 + 0] = 0.508159f;	val_dir[1709*3 + 1] = -0.508159f;	val_dir[1709*3 + 2] = 0.695376f;
 	val_dir[1710*3 + 0] = 0.534522f;	val_dir[1710*3 + 1] = -0.481070f;	val_dir[1710*3 + 2] = 0.694879f;
 	val_dir[1711*3 + 0] = 0.560050f;	val_dir[1711*3 + 1] = -0.453374f;	val_dir[1711*3 + 2] = 0.693395f;
 	val_dir[1712*3 + 0] = 0.584643f;	val_dir[1712*3 + 1] = -0.425195f;	val_dir[1712*3 + 2] = 0.690942f;
 	val_dir[1713*3 + 0] = 0.608219f;	val_dir[1713*3 + 1] = -0.396664f;	val_dir[1713*3 + 2] = 0.687552f;
 	val_dir[1714*3 + 0] = 0.630706f;	val_dir[1714*3 + 1] = -0.367912f;	val_dir[1714*3 + 2] = 0.683265f;
 	val_dir[1715*3 + 0] = 0.652051f;	val_dir[1715*3 + 1] = -0.339066f;	val_dir[1715*3 + 2] = 0.678133f;
 	val_dir[1716*3 + 0] = 0.672214f;	val_dir[1716*3 + 1] = -0.310253f;	val_dir[1716*3 + 2] = 0.672214f;
 	val_dir[1717*3 + 0] = 0.691173f;	val_dir[1717*3 + 1] = -0.281589f;	val_dir[1717*3 + 2] = 0.665574f;
 	val_dir[1718*3 + 0] = 0.708918f;	val_dir[1718*3 + 1] = -0.253185f;	val_dir[1718*3 + 2] = 0.658281f;
 	val_dir[1719*3 + 0] = 0.725454f;	val_dir[1719*3 + 1] = -0.225141f;	val_dir[1719*3 + 2] = 0.650407f;
 	val_dir[1720*3 + 0] = 0.740797f;	val_dir[1720*3 + 1] = -0.197546f;	val_dir[1720*3 + 2] = 0.642024f;
 	val_dir[1721*3 + 0] = 0.754976f;	val_dir[1721*3 + 1] = -0.170478f;	val_dir[1721*3 + 2] = 0.633205f;
 	val_dir[1722*3 + 0] = 0.768025f;	val_dir[1722*3 + 1] = -0.144005f;	val_dir[1722*3 + 2] = 0.624020f;
 	val_dir[1723*3 + 0] = 0.779987f;	val_dir[1723*3 + 1] = -0.118180f;	val_dir[1723*3 + 2] = 0.614535f;
 	val_dir[1724*3 + 0] = 0.790912f;	val_dir[1724*3 + 1] = -0.093048f;	val_dir[1724*3 + 2] = 0.604815f;
 	val_dir[1725*3 + 0] = 0.800850f;	val_dir[1725*3 + 1] = -0.068644f;	val_dir[1725*3 + 2] = 0.594917f;
 	val_dir[1726*3 + 0] = 0.809858f;	val_dir[1726*3 + 1] = -0.044992f;	val_dir[1726*3 + 2] = 0.584898f;
 	val_dir[1727*3 + 0] = 0.817992f;	val_dir[1727*3 + 1] = -0.022108f;	val_dir[1727*3 + 2] = 0.574805f;
 	val_dir[1728*3 + 0] = 0.825307f;	val_dir[1728*3 + 1] = 0.0f;	val_dir[1728*3 + 2] = 0.564684f;
 	val_dir[1729*3 + 0] = 0.851455f;	val_dir[1729*3 + 1] = 0.021832f;	val_dir[1729*3 + 2] = 0.523973f;
 	val_dir[1730*3 + 0] = 0.875376f;	val_dir[1730*3 + 1] = 0.043769f;	val_dir[1730*3 + 2] = 0.481457f;
 	val_dir[1731*3 + 0] = 0.896831f;	val_dir[1731*3 + 1] = 0.065622f;	val_dir[1731*3 + 2] = 0.437479f;
 	val_dir[1732*3 + 0] = 0.915644f;	val_dir[1732*3 + 1] = 0.087204f;	val_dir[1732*3 + 2] = 0.392419f;
 	val_dir[1733*3 + 0] = 0.931705f;	val_dir[1733*3 + 1] = 0.108338f;	val_dir[1733*3 + 2] = 0.346681f;
 	val_dir[1734*3 + 0] = 0.944981f;	val_dir[1734*3 + 1] = 0.128861f;	val_dir[1734*3 + 2] = 0.300676f;
 	val_dir[1735*3 + 0] = 0.955502f;	val_dir[1735*3 + 1] = 0.148634f;	val_dir[1735*3 + 2] = 0.254801f;
 	val_dir[1736*3 + 0] = 0.963364f;	val_dir[1736*3 + 1] = 0.167542f;	val_dir[1736*3 + 2] = 0.209427f;
 	val_dir[1737*3 + 0] = 0.968712f;	val_dir[1737*3 + 1] = 0.185498f;	val_dir[1737*3 + 2] = 0.164887f;
 	val_dir[1738*3 + 0] = 0.971732f;	val_dir[1738*3 + 1] = 0.202444f;	val_dir[1738*3 + 2] = 0.121466f;
 	val_dir[1739*3 + 0] = 0.972636f;	val_dir[1739*3 + 1] = 0.218347f;	val_dir[1739*3 + 2] = 0.079399f;
 	val_dir[1740*3 + 0] = 0.971653f;	val_dir[1740*3 + 1] = 0.233197f;	val_dir[1740*3 + 2] = 0.038866f;
 	val_dir[1741*3 + 0] = 0.969015f;	val_dir[1741*3 + 1] = 0.247004f;	val_dir[1741*3 + 2] = 0.0f;
 	val_dir[1742*3 + 0] = -0.251587f;	val_dir[1742*3 + 1] = -0.967641f;	val_dir[1742*3 + 2] = 0.019353f;
 	val_dir[1743*3 + 0] = -0.237449f;	val_dir[1743*3 + 1] = -0.969584f;	val_dir[1743*3 + 2] = 0.059362f;
 	val_dir[1744*3 + 0] = -0.222234f;	val_dir[1744*3 + 1] = -0.969746f;	val_dir[1744*3 + 2] = 0.101015f;
 	val_dir[1745*3 + 0] = -0.205934f;	val_dir[1745*3 + 1] = -0.967890f;	val_dir[1745*3 + 2] = 0.144154f;
 	val_dir[1746*3 + 0] = -0.188567f;	val_dir[1746*3 + 1] = -0.963787f;	val_dir[1746*3 + 2] = 0.188567f;
 	val_dir[1747*3 + 0] = -0.170174f;	val_dir[1747*3 + 1] = -0.957230f;	val_dir[1747*3 + 2] = 0.233990f;
 	val_dir[1748*3 + 0] = -0.150826f;	val_dir[1748*3 + 1] = -0.948047f;	val_dir[1748*3 + 2] = 0.280105f;
 	val_dir[1749*3 + 0] = -0.130620f;	val_dir[1749*3 + 1] = -0.936111f;	val_dir[1749*3 + 2] = 0.326550f;
 	val_dir[1750*3 + 0] = -0.109685f;	val_dir[1750*3 + 1] = -0.921354f;	val_dir[1750*3 + 2] = 0.372929f;
 	val_dir[1751*3 + 0] = -0.088173f;	val_dir[1751*3 + 1] = -0.903777f;	val_dir[1751*3 + 2] = 0.418823f;
 	val_dir[1752*3 + 0] = -0.066259f;	val_dir[1752*3 + 1] = -0.883452f;	val_dir[1752*3 + 2] = 0.463812f;
 	val_dir[1753*3 + 0] = -0.044130f;	val_dir[1753*3 + 1] = -0.860527f;	val_dir[1753*3 + 2] = 0.507490f;
 	val_dir[1754*3 + 0] = -0.021979f;	val_dir[1754*3 + 1] = -0.835215f;	val_dir[1754*3 + 2] = 0.549484f;
 	val_dir[1755*3 + 0] = 0.0f;	val_dir[1755*3 + 1] = -0.807791f;	val_dir[1755*3 + 2] = 0.589469f;
 	val_dir[1756*3 + 0] = 0.022217f;	val_dir[1756*3 + 1] = -0.799803f;	val_dir[1756*3 + 2] = 0.599852f;
 	val_dir[1757*3 + 0] = 0.045198f;	val_dir[1757*3 + 1] = -0.790973f;	val_dir[1757*3 + 2] = 0.610179f;
 	val_dir[1758*3 + 0] = 0.068934f;	val_dir[1758*3 + 1] = -0.781248f;	val_dir[1758*3 + 2] = 0.620403f;
 	val_dir[1759*3 + 0] = 0.093403f;	val_dir[1759*3 + 1] = -0.770574f;	val_dir[1759*3 + 2] = 0.630470f;
 	val_dir[1760*3 + 0] = 0.118578f;	val_dir[1760*3 + 1] = -0.758899f;	val_dir[1760*3 + 2] = 0.640321f;
 	val_dir[1761*3 + 0] = 0.144421f;	val_dir[1761*3 + 1] = -0.746176f;	val_dir[1761*3 + 2] = 0.649895f;
 	val_dir[1762*3 + 0] = 0.170884f;	val_dir[1762*3 + 1] = -0.732361f;	val_dir[1762*3 + 2] = 0.659125f;
 	val_dir[1763*3 + 0] = 0.197908f;	val_dir[1763*3 + 1] = -0.717418f;	val_dir[1763*3 + 2] = 0.667940f;
 	val_dir[1764*3 + 0] = 0.225423f;	val_dir[1764*3 + 1] = -0.701316f;	val_dir[1764*3 + 2] = 0.676269f;
 	val_dir[1765*3 + 0] = 0.253347f;	val_dir[1765*3 + 1] = -0.684038f;	val_dir[1765*3 + 2] = 0.684038f;
 	val_dir[1766*3 + 0] = 0.281589f;	val_dir[1766*3 + 1] = -0.665574f;	val_dir[1766*3 + 2] = 0.691173f;
 	val_dir[1767*3 + 0] = 0.310045f;	val_dir[1767*3 + 1] = -0.645928f;	val_dir[1767*3 + 2] = 0.697602f;
 	val_dir[1768*3 + 0] = 0.338606f;	val_dir[1768*3 + 1] = -0.625119f;	val_dir[1768*3 + 2] = 0.703259f;
 	val_dir[1769*3 + 0] = 0.367152f;	val_dir[1769*3 + 1] = -0.603178f;	val_dir[1769*3 + 2] = 0.708079f;
 	val_dir[1770*3 + 0] = 0.395559f;	val_dir[1770*3 + 1] = -0.580154f;	val_dir[1770*3 + 2] = 0.712007f;
 	val_dir[1771*3 + 0] = 0.423702f;	val_dir[1771*3 + 1] = -0.556108f;	val_dir[1771*3 + 2] = 0.714997f;
 	val_dir[1772*3 + 0] = 0.451451f;	val_dir[1772*3 + 1] = -0.531119f;	val_dir[1772*3 + 2] = 0.717011f;
 	val_dir[1773*3 + 0] = 0.478683f;	val_dir[1773*3 + 1] = -0.505276f;	val_dir[1773*3 + 2] = 0.718024f;
 	val_dir[1774*3 + 0] = 0.505276f;	val_dir[1774*3 + 1] = -0.478683f;	val_dir[1774*3 + 2] = 0.718024f;
 	val_dir[1775*3 + 0] = 0.531119f;	val_dir[1775*3 + 1] = -0.451451f;	val_dir[1775*3 + 2] = 0.717011f;
 	val_dir[1776*3 + 0] = 0.556108f;	val_dir[1776*3 + 1] = -0.423702f;	val_dir[1776*3 + 2] = 0.714997f;
 	val_dir[1777*3 + 0] = 0.580154f;	val_dir[1777*3 + 1] = -0.395559f;	val_dir[1777*3 + 2] = 0.712007f;
 	val_dir[1778*3 + 0] = 0.603178f;	val_dir[1778*3 + 1] = -0.367152f;	val_dir[1778*3 + 2] = 0.708079f;
 	val_dir[1779*3 + 0] = 0.625119f;	val_dir[1779*3 + 1] = -0.338606f;	val_dir[1779*3 + 2] = 0.703259f;
 	val_dir[1780*3 + 0] = 0.645928f;	val_dir[1780*3 + 1] = -0.310045f;	val_dir[1780*3 + 2] = 0.697602f;
 	val_dir[1781*3 + 0] = 0.665574f;	val_dir[1781*3 + 1] = -0.281589f;	val_dir[1781*3 + 2] = 0.691173f;
 	val_dir[1782*3 + 0] = 0.684038f;	val_dir[1782*3 + 1] = -0.253347f;	val_dir[1782*3 + 2] = 0.684038f;
 	val_dir[1783*3 + 0] = 0.701316f;	val_dir[1783*3 + 1] = -0.225423f;	val_dir[1783*3 + 2] = 0.676269f;
 	val_dir[1784*3 + 0] = 0.717418f;	val_dir[1784*3 + 1] = -0.197908f;	val_dir[1784*3 + 2] = 0.667940f;
 	val_dir[1785*3 + 0] = 0.732361f;	val_dir[1785*3 + 1] = -0.170884f;	val_dir[1785*3 + 2] = 0.659125f;
 	val_dir[1786*3 + 0] = 0.746176f;	val_dir[1786*3 + 1] = -0.144421f;	val_dir[1786*3 + 2] = 0.649895f;
 	val_dir[1787*3 + 0] = 0.758899f;	val_dir[1787*3 + 1] = -0.118578f;	val_dir[1787*3 + 2] = 0.640321f;
 	val_dir[1788*3 + 0] = 0.770574f;	val_dir[1788*3 + 1] = -0.093403f;	val_dir[1788*3 + 2] = 0.630470f;
 	val_dir[1789*3 + 0] = 0.781248f;	val_dir[1789*3 + 1] = -0.068934f;	val_dir[1789*3 + 2] = 0.620403f;
 	val_dir[1790*3 + 0] = 0.790973f;	val_dir[1790*3 + 1] = -0.045198f;	val_dir[1790*3 + 2] = 0.610179f;
 	val_dir[1791*3 + 0] = 0.799803f;	val_dir[1791*3 + 1] = -0.022217f;	val_dir[1791*3 + 2] = 0.599852f;
 	val_dir[1792*3 + 0] = 0.807791f;	val_dir[1792*3 + 1] = 0.0f;	val_dir[1792*3 + 2] = 0.589469f;
 	val_dir[1793*3 + 0] = 0.835215f;	val_dir[1793*3 + 1] = 0.021979f;	val_dir[1793*3 + 2] = 0.549484f;
 	val_dir[1794*3 + 0] = 0.860527f;	val_dir[1794*3 + 1] = 0.044130f;	val_dir[1794*3 + 2] = 0.507490f;
 	val_dir[1795*3 + 0] = 0.883452f;	val_dir[1795*3 + 1] = 0.066259f;	val_dir[1795*3 + 2] = 0.463812f;
 	val_dir[1796*3 + 0] = 0.903777f;	val_dir[1796*3 + 1] = 0.088173f;	val_dir[1796*3 + 2] = 0.418823f;
 	val_dir[1797*3 + 0] = 0.921354f;	val_dir[1797*3 + 1] = 0.109685f;	val_dir[1797*3 + 2] = 0.372929f;
 	val_dir[1798*3 + 0] = 0.936111f;	val_dir[1798*3 + 1] = 0.130620f;	val_dir[1798*3 + 2] = 0.326550f;
 	val_dir[1799*3 + 0] = 0.948047f;	val_dir[1799*3 + 1] = 0.150826f;	val_dir[1799*3 + 2] = 0.280105f;
 	val_dir[1800*3 + 0] = 0.957230f;	val_dir[1800*3 + 1] = 0.170174f;	val_dir[1800*3 + 2] = 0.233990f;
 	val_dir[1801*3 + 0] = 0.963787f;	val_dir[1801*3 + 1] = 0.188567f;	val_dir[1801*3 + 2] = 0.188567f;
 	val_dir[1802*3 + 0] = 0.967890f;	val_dir[1802*3 + 1] = 0.205934f;	val_dir[1802*3 + 2] = 0.144154f;
 	val_dir[1803*3 + 0] = 0.969746f;	val_dir[1803*3 + 1] = 0.222234f;	val_dir[1803*3 + 2] = 0.101015f;
 	val_dir[1804*3 + 0] = 0.969584f;	val_dir[1804*3 + 1] = 0.237449f;	val_dir[1804*3 + 2] = 0.059362f;
 	val_dir[1805*3 + 0] = 0.967641f;	val_dir[1805*3 + 1] = 0.251587f;	val_dir[1805*3 + 2] = 0.019353f;
 	val_dir[1806*3 + 0] = -0.269630f;	val_dir[1806*3 + 1] = -0.962964f;	val_dir[1806*3 + 2] = 0.0f;
 	val_dir[1807*3 + 0] = -0.256235f;	val_dir[1807*3 + 1] = -0.965810f;	val_dir[1807*3 + 2] = 0.039421f;
 	val_dir[1808*3 + 0] = -0.241747f;	val_dir[1808*3 + 1] = -0.966988f;	val_dir[1808*3 + 2] = 0.080582f;
 	val_dir[1809*3 + 0] = -0.226144f;	val_dir[1809*3 + 1] = -0.966252f;	val_dir[1809*3 + 2] = 0.123351f;
 	val_dir[1810*3 + 0] = -0.209427f;	val_dir[1810*3 + 1] = -0.963364f;	val_dir[1810*3 + 2] = 0.167542f;
 	val_dir[1811*3 + 0] = -0.191620f;	val_dir[1811*3 + 1] = -0.958098f;	val_dir[1811*3 + 2] = 0.212911f;
 	val_dir[1812*3 + 0] = -0.172774f;	val_dir[1812*3 + 1] = -0.950255f;	val_dir[1812*3 + 2] = 0.259161f;
 	val_dir[1813*3 + 0] = -0.152971f;	val_dir[1813*3 + 1] = -0.939680f;	val_dir[1813*3 + 2] = 0.305942f;
 	val_dir[1814*3 + 0] = -0.132324f;	val_dir[1814*3 + 1] = -0.926270f;	val_dir[1814*3 + 2] = 0.352865f;
 	val_dir[1815*3 + 0] = -0.110974f;	val_dir[1815*3 + 1] = -0.909988f;	val_dir[1815*3 + 2] = 0.399507f;
 	val_dir[1816*3 + 0] = -0.089087f;	val_dir[1816*3 + 1] = -0.890871f;	val_dir[1816*3 + 2] = 0.445435f;
 	val_dir[1817*3 + 0] = -0.066848f;	val_dir[1817*3 + 1] = -0.869030f;	val_dir[1817*3 + 2] = 0.490222f;
 	val_dir[1818*3 + 0] = -0.044455f;	val_dir[1818*3 + 1] = -0.844653f;	val_dir[1818*3 + 2] = 0.533465f;
 	val_dir[1819*3 + 0] = -0.022108f;	val_dir[1819*3 + 1] = -0.817992f;	val_dir[1819*3 + 2] = 0.574805f;
 	val_dir[1820*3 + 0] = 0.0f;	val_dir[1820*3 + 1] = -0.789352f;	val_dir[1820*3 + 2] = 0.613941f;
 	val_dir[1821*3 + 0] = 0.022305f;	val_dir[1821*3 + 1] = -0.780675f;	val_dir[1821*3 + 2] = 0.624540f;
 	val_dir[1822*3 + 0] = 0.045361f;	val_dir[1822*3 + 1] = -0.771136f;	val_dir[1822*3 + 2] = 0.635053f;
 	val_dir[1823*3 + 0] = 0.069153f;	val_dir[1823*3 + 1] = -0.760684f;	val_dir[1823*3 + 2] = 0.645429f;
 	val_dir[1824*3 + 0] = 0.093659f;	val_dir[1824*3 + 1] = -0.749269f;	val_dir[1824*3 + 2] = 0.655610f;
 	val_dir[1825*3 + 0] = 0.118846f;	val_dir[1825*3 + 1] = -0.736843f;	val_dir[1825*3 + 2] = 0.665536f;
 	val_dir[1826*3 + 0] = 0.144673f;	val_dir[1826*3 + 1] = -0.723364f;	val_dir[1826*3 + 2] = 0.675140f;
 	val_dir[1827*3 + 0] = 0.171088f;	val_dir[1827*3 + 1] = -0.708794f;	val_dir[1827*3 + 2] = 0.684353f;
 	val_dir[1828*3 + 0] = 0.198030f;	val_dir[1828*3 + 1] = -0.693103f;	val_dir[1828*3 + 2] = 0.693103f;
 	val_dir[1829*3 + 0] = 0.225423f;	val_dir[1829*3 + 1] = -0.676269f;	val_dir[1829*3 + 2] = 0.701316f;
 	val_dir[1830*3 + 0] = 0.253185f;	val_dir[1830*3 + 1] = -0.658281f;	val_dir[1830*3 + 2] = 0.708918f;
 	val_dir[1831*3 + 0] = 0.281220f;	val_dir[1831*3 + 1] = -0.639138f;	val_dir[1831*3 + 2] = 0.715834f;
 	val_dir[1832*3 + 0] = 0.309426f;	val_dir[1832*3 + 1] = -0.618853f;	val_dir[1832*3 + 2] = 0.721995f;
 	val_dir[1833*3 + 0] = 0.337691f;	val_dir[1833*3 + 1] = -0.597453f;	val_dir[1833*3 + 2] = 0.727334f;
 	val_dir[1834*3 + 0] = 0.365896f;	val_dir[1834*3 + 1] = -0.574979f;	val_dir[1834*3 + 2] = 0.731792f;
 	val_dir[1835*3 + 0] = 0.393919f;	val_dir[1835*3 + 1] = -0.551487f;	val_dir[1835*3 + 2] = 0.735316f;
 	val_dir[1836*3 + 0] = 0.421637f;	val_dir[1836*3 + 1] = -0.527046f;	val_dir[1836*3 + 2] = 0.737865f;
 	val_dir[1837*3 + 0] = 0.448926f;	val_dir[1837*3 + 1] = -0.501740f;	val_dir[1837*3 + 2] = 0.739407f;
 	val_dir[1838*3 + 0] = 0.475665f;	val_dir[1838*3 + 1] = -0.475665f;	val_dir[1838*3 + 2] = 0.739923f;
 	val_dir[1839*3 + 0] = 0.501740f;	val_dir[1839*3 + 1] = -0.448926f;	val_dir[1839*3 + 2] = 0.739407f;
 	val_dir[1840*3 + 0] = 0.527046f;	val_dir[1840*3 + 1] = -0.421637f;	val_dir[1840*3 + 2] = 0.737865f;
 	val_dir[1841*3 + 0] = 0.551487f;	val_dir[1841*3 + 1] = -0.393919f;	val_dir[1841*3 + 2] = 0.735316f;
 	val_dir[1842*3 + 0] = 0.574979f;	val_dir[1842*3 + 1] = -0.365896f;	val_dir[1842*3 + 2] = 0.731792f;
 	val_dir[1843*3 + 0] = 0.597453f;	val_dir[1843*3 + 1] = -0.337691f;	val_dir[1843*3 + 2] = 0.727334f;
 	val_dir[1844*3 + 0] = 0.618853f;	val_dir[1844*3 + 1] = -0.309426f;	val_dir[1844*3 + 2] = 0.721995f;
 	val_dir[1845*3 + 0] = 0.639138f;	val_dir[1845*3 + 1] = -0.281220f;	val_dir[1845*3 + 2] = 0.715834f;
 	val_dir[1846*3 + 0] = 0.658281f;	val_dir[1846*3 + 1] = -0.253185f;	val_dir[1846*3 + 2] = 0.708918f;
 	val_dir[1847*3 + 0] = 0.676269f;	val_dir[1847*3 + 1] = -0.225423f;	val_dir[1847*3 + 2] = 0.701316f;
 	val_dir[1848*3 + 0] = 0.693103f;	val_dir[1848*3 + 1] = -0.198030f;	val_dir[1848*3 + 2] = 0.693103f;
 	val_dir[1849*3 + 0] = 0.708794f;	val_dir[1849*3 + 1] = -0.171088f;	val_dir[1849*3 + 2] = 0.684353f;
 	val_dir[1850*3 + 0] = 0.723364f;	val_dir[1850*3 + 1] = -0.144673f;	val_dir[1850*3 + 2] = 0.675140f;
 	val_dir[1851*3 + 0] = 0.736843f;	val_dir[1851*3 + 1] = -0.118846f;	val_dir[1851*3 + 2] = 0.665536f;
 	val_dir[1852*3 + 0] = 0.749269f;	val_dir[1852*3 + 1] = -0.093659f;	val_dir[1852*3 + 2] = 0.655610f;
 	val_dir[1853*3 + 0] = 0.760684f;	val_dir[1853*3 + 1] = -0.069153f;	val_dir[1853*3 + 2] = 0.645429f;
 	val_dir[1854*3 + 0] = 0.771136f;	val_dir[1854*3 + 1] = -0.045361f;	val_dir[1854*3 + 2] = 0.635053f;
 	val_dir[1855*3 + 0] = 0.780675f;	val_dir[1855*3 + 1] = -0.022305f;	val_dir[1855*3 + 2] = 0.624540f;
 	val_dir[1856*3 + 0] = 0.789352f;	val_dir[1856*3 + 1] = 0.0f;	val_dir[1856*3 + 2] = 0.613941f;
 	val_dir[1857*3 + 0] = 0.817992f;	val_dir[1857*3 + 1] = 0.022108f;	val_dir[1857*3 + 2] = 0.574805f;
 	val_dir[1858*3 + 0] = 0.844653f;	val_dir[1858*3 + 1] = 0.044455f;	val_dir[1858*3 + 2] = 0.533465f;
 	val_dir[1859*3 + 0] = 0.869030f;	val_dir[1859*3 + 1] = 0.066848f;	val_dir[1859*3 + 2] = 0.490222f;
 	val_dir[1860*3 + 0] = 0.890871f;	val_dir[1860*3 + 1] = 0.089087f;	val_dir[1860*3 + 2] = 0.445435f;
 	val_dir[1861*3 + 0] = 0.909988f;	val_dir[1861*3 + 1] = 0.110974f;	val_dir[1861*3 + 2] = 0.399507f;
 	val_dir[1862*3 + 0] = 0.926270f;	val_dir[1862*3 + 1] = 0.132324f;	val_dir[1862*3 + 2] = 0.352865f;
 	val_dir[1863*3 + 0] = 0.939680f;	val_dir[1863*3 + 1] = 0.152971f;	val_dir[1863*3 + 2] = 0.305942f;
 	val_dir[1864*3 + 0] = 0.950255f;	val_dir[1864*3 + 1] = 0.172774f;	val_dir[1864*3 + 2] = 0.259161f;
 	val_dir[1865*3 + 0] = 0.958098f;	val_dir[1865*3 + 1] = 0.191620f;	val_dir[1865*3 + 2] = 0.212911f;
 	val_dir[1866*3 + 0] = 0.963364f;	val_dir[1866*3 + 1] = 0.209427f;	val_dir[1866*3 + 2] = 0.167542f;
 	val_dir[1867*3 + 0] = 0.966252f;	val_dir[1867*3 + 1] = 0.226144f;	val_dir[1867*3 + 2] = 0.123351f;
 	val_dir[1868*3 + 0] = 0.966988f;	val_dir[1868*3 + 1] = 0.241747f;	val_dir[1868*3 + 2] = 0.080582f;
 	val_dir[1869*3 + 0] = 0.965810f;	val_dir[1869*3 + 1] = 0.256235f;	val_dir[1869*3 + 2] = 0.039421f;
 	val_dir[1870*3 + 0] = 0.962964f;	val_dir[1870*3 + 1] = 0.269630f;	val_dir[1870*3 + 2] = 0.0f;
 	val_dir[1871*3 + 0] = -0.274668f;	val_dir[1871*3 + 1] = -0.961339f;	val_dir[1871*3 + 2] = 0.019619f;
 	val_dir[1872*3 + 0] = -0.260941f;	val_dir[1872*3 + 1] = -0.963475f;	val_dir[1872*3 + 2] = 0.060217f;
 	val_dir[1873*3 + 0] = -0.246079f;	val_dir[1873*3 + 1] = -0.963811f;	val_dir[1873*3 + 2] = 0.102533f;
 	val_dir[1874*3 + 0] = -0.230067f;	val_dir[1874*3 + 1] = -0.962099f;	val_dir[1874*3 + 2] = 0.146406f;
 	val_dir[1875*3 + 0] = -0.212911f;	val_dir[1875*3 + 1] = -0.958098f;	val_dir[1875*3 + 2] = 0.191620f;
 	val_dir[1876*3 + 0] = -0.194643f;	val_dir[1876*3 + 1] = -0.951588f;	val_dir[1876*3 + 2] = 0.237897f;
 	val_dir[1877*3 + 0] = -0.175327f;	val_dir[1877*3 + 1] = -0.942384f;	val_dir[1877*3 + 2] = 0.284907f;
 	val_dir[1878*3 + 0] = -0.155059f;	val_dir[1878*3 + 1] = -0.930352f;	val_dir[1878*3 + 2] = 0.332269f;
 	val_dir[1879*3 + 0] = -0.133963f;	val_dir[1879*3 + 1] = -0.915416f;	val_dir[1879*3 + 2] = 0.379563f;
 	val_dir[1880*3 + 0] = -0.112197f;	val_dir[1880*3 + 1] = -0.897574f;	val_dir[1880*3 + 2] = 0.426348f;
 	val_dir[1881*3 + 0] = -0.089939f;	val_dir[1881*3 + 1] = -0.876903f;	val_dir[1881*3 + 2] = 0.472178f;
 	val_dir[1882*3 + 0] = -0.067386f;	val_dir[1882*3 + 1] = -0.853556f;	val_dir[1882*3 + 2] = 0.516626f;
 	val_dir[1883*3 + 0] = -0.044744f;	val_dir[1883*3 + 1] = -0.827759f;	val_dir[1883*3 + 2] = 0.559297f;
 	val_dir[1884*3 + 0] = -0.022217f;	val_dir[1884*3 + 1] = -0.799803f;	val_dir[1884*3 + 2] = 0.599852f;
 	val_dir[1885*3 + 0] = 0.0f;	val_dir[1885*3 + 1] = -0.770022f;	val_dir[1885*3 + 2] = 0.638018f;
 	val_dir[1886*3 + 0] = 0.022372f;	val_dir[1886*3 + 1] = -0.760644f;	val_dir[1886*3 + 2] = 0.648784f;
 	val_dir[1887*3 + 0] = 0.045478f;	val_dir[1887*3 + 1] = -0.750388f;	val_dir[1887*3 + 2] = 0.659432f;
 	val_dir[1888*3 + 0] = 0.069301f;	val_dir[1888*3 + 1] = -0.739205f;	val_dir[1888*3 + 2] = 0.669905f;
 	val_dir[1889*3 + 0] = 0.093813f;	val_dir[1889*3 + 1] = -0.727051f;	val_dir[1889*3 + 2] = 0.680144f;
 	val_dir[1890*3 + 0] = 0.118980f;	val_dir[1890*3 + 1] = -0.713881f;	val_dir[1890*3 + 2] = 0.690085f;
 	val_dir[1891*3 + 0] = 0.144757f;	val_dir[1891*3 + 1] = -0.699659f;	val_dir[1891*3 + 2] = 0.699659f;
 	val_dir[1892*3 + 0] = 0.171088f;	val_dir[1892*3 + 1] = -0.684353f;	val_dir[1892*3 + 2] = 0.708794f;
 	val_dir[1893*3 + 0] = 0.197908f;	val_dir[1893*3 + 1] = -0.667940f;	val_dir[1893*3 + 2] = 0.717418f;
 	val_dir[1894*3 + 0] = 0.225141f;	val_dir[1894*3 + 1] = -0.650407f;	val_dir[1894*3 + 2] = 0.725454f;
 	val_dir[1895*3 + 0] = 0.252699f;	val_dir[1895*3 + 1] = -0.631748f;	val_dir[1895*3 + 2] = 0.732828f;
 	val_dir[1896*3 + 0] = 0.280488f;	val_dir[1896*3 + 1] = -0.611974f;	val_dir[1896*3 + 2] = 0.739469f;
 	val_dir[1897*3 + 0] = 0.308403f;	val_dir[1897*3 + 1] = -0.591105f;	val_dir[1897*3 + 2] = 0.745307f;
 	val_dir[1898*3 + 0] = 0.336332f;	val_dir[1898*3 + 1] = -0.569177f;	val_dir[1898*3 + 2] = 0.750279f;
 	val_dir[1899*3 + 0] = 0.364159f;	val_dir[1899*3 + 1] = -0.546238f;	val_dir[1899*3 + 2] = 0.754329f;
 	val_dir[1900*3 + 0] = 0.391764f;	val_dir[1900*3 + 1] = -0.522352f;	val_dir[1900*3 + 2] = 0.757410f;
 	val_dir[1901*3 + 0] = 0.419026f;	val_dir[1901*3 + 1] = -0.497594f;	val_dir[1901*3 + 2] = 0.759485f;
 	val_dir[1902*3 + 0] = 0.445827f;	val_dir[1902*3 + 1] = -0.472053f;	val_dir[1902*3 + 2] = 0.760529f;
 	val_dir[1903*3 + 0] = 0.472053f;	val_dir[1903*3 + 1] = -0.445827f;	val_dir[1903*3 + 2] = 0.760529f;
 	val_dir[1904*3 + 0] = 0.497594f;	val_dir[1904*3 + 1] = -0.419026f;	val_dir[1904*3 + 2] = 0.759485f;
 	val_dir[1905*3 + 0] = 0.522352f;	val_dir[1905*3 + 1] = -0.391764f;	val_dir[1905*3 + 2] = 0.757410f;
 	val_dir[1906*3 + 0] = 0.546238f;	val_dir[1906*3 + 1] = -0.364159f;	val_dir[1906*3 + 2] = 0.754329f;
 	val_dir[1907*3 + 0] = 0.569177f;	val_dir[1907*3 + 1] = -0.336332f;	val_dir[1907*3 + 2] = 0.750279f;
 	val_dir[1908*3 + 0] = 0.591105f;	val_dir[1908*3 + 1] = -0.308403f;	val_dir[1908*3 + 2] = 0.745307f;
 	val_dir[1909*3 + 0] = 0.611974f;	val_dir[1909*3 + 1] = -0.280488f;	val_dir[1909*3 + 2] = 0.739469f;
 	val_dir[1910*3 + 0] = 0.631748f;	val_dir[1910*3 + 1] = -0.252699f;	val_dir[1910*3 + 2] = 0.732828f;
 	val_dir[1911*3 + 0] = 0.650407f;	val_dir[1911*3 + 1] = -0.225141f;	val_dir[1911*3 + 2] = 0.725454f;
 	val_dir[1912*3 + 0] = 0.667940f;	val_dir[1912*3 + 1] = -0.197908f;	val_dir[1912*3 + 2] = 0.717418f;
 	val_dir[1913*3 + 0] = 0.684353f;	val_dir[1913*3 + 1] = -0.171088f;	val_dir[1913*3 + 2] = 0.708794f;
 	val_dir[1914*3 + 0] = 0.699659f;	val_dir[1914*3 + 1] = -0.144757f;	val_dir[1914*3 + 2] = 0.699659f;
 	val_dir[1915*3 + 0] = 0.713881f;	val_dir[1915*3 + 1] = -0.118980f;	val_dir[1915*3 + 2] = 0.690085f;
 	val_dir[1916*3 + 0] = 0.727051f;	val_dir[1916*3 + 1] = -0.093813f;	val_dir[1916*3 + 2] = 0.680144f;
 	val_dir[1917*3 + 0] = 0.739205f;	val_dir[1917*3 + 1] = -0.069301f;	val_dir[1917*3 + 2] = 0.669905f;
 	val_dir[1918*3 + 0] = 0.750388f;	val_dir[1918*3 + 1] = -0.045478f;	val_dir[1918*3 + 2] = 0.659432f;
 	val_dir[1919*3 + 0] = 0.760644f;	val_dir[1919*3 + 1] = -0.022372f;	val_dir[1919*3 + 2] = 0.648784f;
 	val_dir[1920*3 + 0] = 0.770022f;	val_dir[1920*3 + 1] = 0.0f;	val_dir[1920*3 + 2] = 0.638018f;
 	val_dir[1921*3 + 0] = 0.799803f;	val_dir[1921*3 + 1] = 0.022217f;	val_dir[1921*3 + 2] = 0.599852f;
 	val_dir[1922*3 + 0] = 0.827759f;	val_dir[1922*3 + 1] = 0.044744f;	val_dir[1922*3 + 2] = 0.559297f;
 	val_dir[1923*3 + 0] = 0.853556f;	val_dir[1923*3 + 1] = 0.067386f;	val_dir[1923*3 + 2] = 0.516626f;
 	val_dir[1924*3 + 0] = 0.876903f;	val_dir[1924*3 + 1] = 0.089939f;	val_dir[1924*3 + 2] = 0.472178f;
 	val_dir[1925*3 + 0] = 0.897574f;	val_dir[1925*3 + 1] = 0.112197f;	val_dir[1925*3 + 2] = 0.426348f;
 	val_dir[1926*3 + 0] = 0.915416f;	val_dir[1926*3 + 1] = 0.133963f;	val_dir[1926*3 + 2] = 0.379563f;
 	val_dir[1927*3 + 0] = 0.930352f;	val_dir[1927*3 + 1] = 0.155059f;	val_dir[1927*3 + 2] = 0.332269f;
 	val_dir[1928*3 + 0] = 0.942384f;	val_dir[1928*3 + 1] = 0.175327f;	val_dir[1928*3 + 2] = 0.284907f;
 	val_dir[1929*3 + 0] = 0.951588f;	val_dir[1929*3 + 1] = 0.194643f;	val_dir[1929*3 + 2] = 0.237897f;
 	val_dir[1930*3 + 0] = 0.958098f;	val_dir[1930*3 + 1] = 0.212911f;	val_dir[1930*3 + 2] = 0.191620f;
 	val_dir[1931*3 + 0] = 0.962099f;	val_dir[1931*3 + 1] = 0.230067f;	val_dir[1931*3 + 2] = 0.146406f;
 	val_dir[1932*3 + 0] = 0.963811f;	val_dir[1932*3 + 1] = 0.246079f;	val_dir[1932*3 + 2] = 0.102533f;
 	val_dir[1933*3 + 0] = 0.963475f;	val_dir[1933*3 + 1] = 0.260941f;	val_dir[1933*3 + 2] = 0.060217f;
 	val_dir[1934*3 + 0] = 0.961339f;	val_dir[1934*3 + 1] = 0.274668f;	val_dir[1934*3 + 2] = 0.019619f;
 	val_dir[1935*3 + 0] = -0.292714f;	val_dir[1935*3 + 1] = -0.95620f;	val_dir[1935*3 + 2] = 0.0f;
 	val_dir[1936*3 + 0] = -0.279776f;	val_dir[1936*3 + 1] = -0.959233f;	val_dir[1936*3 + 2] = 0.039968f;
 	val_dir[1937*3 + 0] = -0.265694f;	val_dir[1937*3 + 1] = -0.960585f;	val_dir[1937*3 + 2] = 0.081752f;
 	val_dir[1938*3 + 0] = -0.250435f;	val_dir[1938*3 + 1] = -0.960001f;	val_dir[1938*3 + 2] = 0.125218f;
 	val_dir[1939*3 + 0] = -0.233990f;	val_dir[1939*3 + 1] = -0.957230f;	val_dir[1939*3 + 2] = 0.170174f;
 	val_dir[1940*3 + 0] = -0.216371f;	val_dir[1940*3 + 1] = -0.952033f;	val_dir[1940*3 + 2] = 0.216371f;
 	val_dir[1941*3 + 0] = -0.197623f;	val_dir[1941*3 + 1] = -0.94420f;	val_dir[1941*3 + 2] = 0.263498f;
 	val_dir[1942*3 + 0] = -0.177822f;	val_dir[1942*3 + 1] = -0.933564f;	val_dir[1942*3 + 2] = 0.311188f;
 	val_dir[1943*3 + 0] = -0.157075f;	val_dir[1943*3 + 1] = -0.920014f;	val_dir[1943*3 + 2] = 0.359030f;
 	val_dir[1944*3 + 0] = -0.135526f;	val_dir[1944*3 + 1] = -0.903508f;	val_dir[1944*3 + 2] = 0.406579f;
 	val_dir[1945*3 + 0] = -0.113344f;	val_dir[1945*3 + 1] = -0.884083f;	val_dir[1945*3 + 2] = 0.453376f;
 	val_dir[1946*3 + 0] = -0.090722f;	val_dir[1946*3 + 1] = -0.861857f;	val_dir[1946*3 + 2] = 0.498970f;
 	val_dir[1947*3 + 0] = -0.067867f;	val_dir[1947*3 + 1] = -0.837027f;	val_dir[1947*3 + 2] = 0.542936f;
 	val_dir[1948*3 + 0] = -0.044992f;	val_dir[1948*3 + 1] = -0.809858f;	val_dir[1948*3 + 2] = 0.584898f;
 	val_dir[1949*3 + 0] = -0.022305f;	val_dir[1949*3 + 1] = -0.780675f;	val_dir[1949*3 + 2] = 0.624540f;
 	val_dir[1950*3 + 0] = 0.0f;	val_dir[1950*3 + 1] = -0.749838f;	val_dir[1950*3 + 2] = 0.661622f;
 	val_dir[1951*3 + 0] = 0.022417f;	val_dir[1951*3 + 1] = -0.739754f;	val_dir[1951*3 + 2] = 0.672504f;
 	val_dir[1952*3 + 0] = 0.045549f;	val_dir[1952*3 + 1] = -0.728780f;	val_dir[1952*3 + 2] = 0.683231f;
 	val_dir[1953*3 + 0] = 0.069375f;	val_dir[1953*3 + 1] = -0.716871f;	val_dir[1953*3 + 2] = 0.693746f;
 	val_dir[1954*3 + 0] = 0.093865f;	val_dir[1954*3 + 1] = -0.703985f;	val_dir[1954*3 + 2] = 0.703985f;
 	val_dir[1955*3 + 0] = 0.118980f;	val_dir[1955*3 + 1] = -0.690085f;	val_dir[1955*3 + 2] = 0.713881f;
 	val_dir[1956*3 + 0] = 0.144673f;	val_dir[1956*3 + 1] = -0.675140f;	val_dir[1956*3 + 2] = 0.723364f;
 	val_dir[1957*3 + 0] = 0.170884f;	val_dir[1957*3 + 1] = -0.659125f;	val_dir[1957*3 + 2] = 0.732361f;
 	val_dir[1958*3 + 0] = 0.197546f;	val_dir[1958*3 + 1] = -0.642024f;	val_dir[1958*3 + 2] = 0.740797f;
 	val_dir[1959*3 + 0] = 0.224579f;	val_dir[1959*3 + 1] = -0.623831f;	val_dir[1959*3 + 2] = 0.748598f;
 	val_dir[1960*3 + 0] = 0.251896f;	val_dir[1960*3 + 1] = -0.604551f;	val_dir[1960*3 + 2] = 0.755689f;
 	val_dir[1961*3 + 0] = 0.27940f;	val_dir[1961*3 + 1] = -0.584201f;	val_dir[1961*3 + 2] = 0.762001f;
 	val_dir[1962*3 + 0] = 0.306987f;	val_dir[1962*3 + 1] = -0.562809f;	val_dir[1962*3 + 2] = 0.767467f;
 	val_dir[1963*3 + 0] = 0.334545f;	val_dir[1963*3 + 1] = -0.540419f;	val_dir[1963*3 + 2] = 0.772027f;
 	val_dir[1964*3 + 0] = 0.361961f;	val_dir[1964*3 + 1] = -0.517088f;	val_dir[1964*3 + 2] = 0.775632f;
 	val_dir[1965*3 + 0] = 0.389118f;	val_dir[1965*3 + 1] = -0.492883f;	val_dir[1965*3 + 2] = 0.778237f;
 	val_dir[1966*3 + 0] = 0.41590f;	val_dir[1966*3 + 1] = -0.467888f;	val_dir[1966*3 + 2] = 0.779813f;
 	val_dir[1967*3 + 0] = 0.442193f;	val_dir[1967*3 + 1] = -0.442193f;	val_dir[1967*3 + 2] = 0.780340f;
 	val_dir[1968*3 + 0] = 0.467888f;	val_dir[1968*3 + 1] = -0.41590f;	val_dir[1968*3 + 2] = 0.779813f;
 	val_dir[1969*3 + 0] = 0.492883f;	val_dir[1969*3 + 1] = -0.389118f;	val_dir[1969*3 + 2] = 0.778237f;
 	val_dir[1970*3 + 0] = 0.517088f;	val_dir[1970*3 + 1] = -0.361961f;	val_dir[1970*3 + 2] = 0.775632f;
 	val_dir[1971*3 + 0] = 0.540419f;	val_dir[1971*3 + 1] = -0.334545f;	val_dir[1971*3 + 2] = 0.772027f;
 	val_dir[1972*3 + 0] = 0.562809f;	val_dir[1972*3 + 1] = -0.306987f;	val_dir[1972*3 + 2] = 0.767467f;
 	val_dir[1973*3 + 0] = 0.584201f;	val_dir[1973*3 + 1] = -0.27940f;	val_dir[1973*3 + 2] = 0.762001f;
 	val_dir[1974*3 + 0] = 0.604551f;	val_dir[1974*3 + 1] = -0.251896f;	val_dir[1974*3 + 2] = 0.755689f;
 	val_dir[1975*3 + 0] = 0.623831f;	val_dir[1975*3 + 1] = -0.224579f;	val_dir[1975*3 + 2] = 0.748598f;
 	val_dir[1976*3 + 0] = 0.642024f;	val_dir[1976*3 + 1] = -0.197546f;	val_dir[1976*3 + 2] = 0.740797f;
 	val_dir[1977*3 + 0] = 0.659125f;	val_dir[1977*3 + 1] = -0.170884f;	val_dir[1977*3 + 2] = 0.732361f;
 	val_dir[1978*3 + 0] = 0.675140f;	val_dir[1978*3 + 1] = -0.144673f;	val_dir[1978*3 + 2] = 0.723364f;
 	val_dir[1979*3 + 0] = 0.690085f;	val_dir[1979*3 + 1] = -0.118980f;	val_dir[1979*3 + 2] = 0.713881f;
 	val_dir[1980*3 + 0] = 0.703985f;	val_dir[1980*3 + 1] = -0.093865f;	val_dir[1980*3 + 2] = 0.703985f;
 	val_dir[1981*3 + 0] = 0.716871f;	val_dir[1981*3 + 1] = -0.069375f;	val_dir[1981*3 + 2] = 0.693746f;
 	val_dir[1982*3 + 0] = 0.728780f;	val_dir[1982*3 + 1] = -0.045549f;	val_dir[1982*3 + 2] = 0.683231f;
 	val_dir[1983*3 + 0] = 0.739754f;	val_dir[1983*3 + 1] = -0.022417f;	val_dir[1983*3 + 2] = 0.672504f;
 	val_dir[1984*3 + 0] = 0.749838f;	val_dir[1984*3 + 1] = 0.0f;	val_dir[1984*3 + 2] = 0.661622f;
 	val_dir[1985*3 + 0] = 0.780675f;	val_dir[1985*3 + 1] = 0.022305f;	val_dir[1985*3 + 2] = 0.624540f;
 	val_dir[1986*3 + 0] = 0.809858f;	val_dir[1986*3 + 1] = 0.044992f;	val_dir[1986*3 + 2] = 0.584898f;
 	val_dir[1987*3 + 0] = 0.837027f;	val_dir[1987*3 + 1] = 0.067867f;	val_dir[1987*3 + 2] = 0.542936f;
 	val_dir[1988*3 + 0] = 0.861857f;	val_dir[1988*3 + 1] = 0.090722f;	val_dir[1988*3 + 2] = 0.498970f;
 	val_dir[1989*3 + 0] = 0.884083f;	val_dir[1989*3 + 1] = 0.113344f;	val_dir[1989*3 + 2] = 0.453376f;
 	val_dir[1990*3 + 0] = 0.903508f;	val_dir[1990*3 + 1] = 0.135526f;	val_dir[1990*3 + 2] = 0.406579f;
 	val_dir[1991*3 + 0] = 0.920014f;	val_dir[1991*3 + 1] = 0.157075f;	val_dir[1991*3 + 2] = 0.359030f;
 	val_dir[1992*3 + 0] = 0.933564f;	val_dir[1992*3 + 1] = 0.177822f;	val_dir[1992*3 + 2] = 0.311188f;
 	val_dir[1993*3 + 0] = 0.94420f;	val_dir[1993*3 + 1] = 0.197623f;	val_dir[1993*3 + 2] = 0.263498f;
 	val_dir[1994*3 + 0] = 0.952033f;	val_dir[1994*3 + 1] = 0.216371f;	val_dir[1994*3 + 2] = 0.216371f;
 	val_dir[1995*3 + 0] = 0.957230f;	val_dir[1995*3 + 1] = 0.233990f;	val_dir[1995*3 + 2] = 0.170174f;
 	val_dir[1996*3 + 0] = 0.960001f;	val_dir[1996*3 + 1] = 0.250435f;	val_dir[1996*3 + 2] = 0.125218f;
 	val_dir[1997*3 + 0] = 0.960585f;	val_dir[1997*3 + 1] = 0.265694f;	val_dir[1997*3 + 2] = 0.081752f;
 	val_dir[1998*3 + 0] = 0.959233f;	val_dir[1998*3 + 1] = 0.279776f;	val_dir[1998*3 + 2] = 0.039968f;
 	val_dir[1999*3 + 0] = 0.95620f;	val_dir[1999*3 + 1] = 0.292714f;	val_dir[1999*3 + 2] = 0.0f;
 	val_dir[2000*3 + 0] = -0.298216f;	val_dir[2000*3 + 1] = -0.954291f;	val_dir[2000*3 + 2] = 0.019881f;
 	val_dir[2001*3 + 0] = -0.284944f;	val_dir[2001*3 + 1] = -0.956597f;	val_dir[2001*3 + 2] = 0.061059f;
 	val_dir[2002*3 + 0] = -0.270481f;	val_dir[2002*3 + 1] = -0.957088f;	val_dir[2002*3 + 2] = 0.104031f;
 	val_dir[2003*3 + 0] = -0.254801f;	val_dir[2003*3 + 1] = -0.955502f;	val_dir[2003*3 + 2] = 0.148634f;
 	val_dir[2004*3 + 0] = -0.237897f;	val_dir[2004*3 + 1] = -0.951588f;	val_dir[2004*3 + 2] = 0.194643f;
 	val_dir[2005*3 + 0] = -0.219793f;	val_dir[2005*3 + 1] = -0.945112f;	val_dir[2005*3 + 2] = 0.241773f;
 	val_dir[2006*3 + 0] = -0.200545f;	val_dir[2006*3 + 1] = -0.935879f;	val_dir[2006*3 + 2] = 0.289677f;
 	val_dir[2007*3 + 0] = -0.180242f;	val_dir[2007*3 + 1] = -0.923742f;	val_dir[2007*3 + 2] = 0.337954f;
 	val_dir[2008*3 + 0] = -0.159009f;	val_dir[2008*3 + 1] = -0.908622f;	val_dir[2008*3 + 2] = 0.386164f;
 	val_dir[2009*3 + 0] = -0.137002f;	val_dir[2009*3 + 1] = -0.890513f;	val_dir[2009*3 + 2] = 0.433840f;
 	val_dir[2010*3 + 0] = -0.114407f;	val_dir[2010*3 + 1] = -0.869495f;	val_dir[2010*3 + 2] = 0.480510f;
 	val_dir[2011*3 + 0] = -0.091430f;	val_dir[2011*3 + 1] = -0.845728f;	val_dir[2011*3 + 2] = 0.525723f;
 	val_dir[2012*3 + 0] = -0.068288f;	val_dir[2012*3 + 1] = -0.819453f;	val_dir[2012*3 + 2] = 0.569064f;
 	val_dir[2013*3 + 0] = -0.045198f;	val_dir[2013*3 + 1] = -0.790973f;	val_dir[2013*3 + 2] = 0.610179f;
 	val_dir[2014*3 + 0] = -0.022372f;	val_dir[2014*3 + 1] = -0.760644f;	val_dir[2014*3 + 2] = 0.648784f;
 	val_dir[2015*3 + 0] = 0.0f;	val_dir[2015*3 + 1] = -0.728848f;	val_dir[2015*3 + 2] = 0.684675f;
 	val_dir[2016*3 + 0] = 0.022439f;	val_dir[2016*3 + 1] = -0.718059f;	val_dir[2016*3 + 2] = 0.695620f;
 	val_dir[2017*3 + 0] = 0.045572f;	val_dir[2017*3 + 1] = -0.706372f;	val_dir[2017*3 + 2] = 0.706372f;
 	val_dir[2018*3 + 0] = 0.069375f;	val_dir[2018*3 + 1] = -0.693746f;	val_dir[2018*3 + 2] = 0.716871f;
 	val_dir[2019*3 + 0] = 0.093813f;	val_dir[2019*3 + 1] = -0.680144f;	val_dir[2019*3 + 2] = 0.727051f;
 	val_dir[2020*3 + 0] = 0.118846f;	val_dir[2020*3 + 1] = -0.665536f;	val_dir[2020*3 + 2] = 0.736843f;
 	val_dir[2021*3 + 0] = 0.144421f;	val_dir[2021*3 + 1] = -0.649895f;	val_dir[2021*3 + 2] = 0.746176f;
 	val_dir[2022*3 + 0] = 0.170478f;	val_dir[2022*3 + 1] = -0.633205f;	val_dir[2022*3 + 2] = 0.754976f;
 	val_dir[2023*3 + 0] = 0.196946f;	val_dir[2023*3 + 1] = -0.615457f;	val_dir[2023*3 + 2] = 0.763167f;
 	val_dir[2024*3 + 0] = 0.223745f;	val_dir[2024*3 + 1] = -0.596653f;	val_dir[2024*3 + 2] = 0.770677f;
 	val_dir[2025*3 + 0] = 0.250785f;	val_dir[2025*3 + 1] = -0.576805f;	val_dir[2025*3 + 2] = 0.777433f;
 	val_dir[2026*3 + 0] = 0.277969f;	val_dir[2026*3 + 1] = -0.555939f;	val_dir[2026*3 + 2] = 0.783368f;
 	val_dir[2027*3 + 0] = 0.305194f;	val_dir[2027*3 + 1] = -0.534090f;	val_dir[2027*3 + 2] = 0.788419f;
 	val_dir[2028*3 + 0] = 0.332352f;	val_dir[2028*3 + 1] = -0.511310f;	val_dir[2028*3 + 2] = 0.792530f;
 	val_dir[2029*3 + 0] = 0.359329f;	val_dir[2029*3 + 1] = -0.487661f;	val_dir[2029*3 + 2] = 0.795657f;
 	val_dir[2030*3 + 0] = 0.386014f;	val_dir[2030*3 + 1] = -0.463217f;	val_dir[2030*3 + 2] = 0.797762f;
 	val_dir[2031*3 + 0] = 0.412294f;	val_dir[2031*3 + 1] = -0.438063f;	val_dir[2031*3 + 2] = 0.798820f;
 	val_dir[2032*3 + 0] = 0.438063f;	val_dir[2032*3 + 1] = -0.412294f;	val_dir[2032*3 + 2] = 0.798820f;
 	val_dir[2033*3 + 0] = 0.463217f;	val_dir[2033*3 + 1] = -0.386014f;	val_dir[2033*3 + 2] = 0.797762f;
 	val_dir[2034*3 + 0] = 0.487661f;	val_dir[2034*3 + 1] = -0.359329f;	val_dir[2034*3 + 2] = 0.795657f;
 	val_dir[2035*3 + 0] = 0.511310f;	val_dir[2035*3 + 1] = -0.332352f;	val_dir[2035*3 + 2] = 0.792530f;
 	val_dir[2036*3 + 0] = 0.534090f;	val_dir[2036*3 + 1] = -0.305194f;	val_dir[2036*3 + 2] = 0.788419f;
 	val_dir[2037*3 + 0] = 0.555939f;	val_dir[2037*3 + 1] = -0.277969f;	val_dir[2037*3 + 2] = 0.783368f;
 	val_dir[2038*3 + 0] = 0.576805f;	val_dir[2038*3 + 1] = -0.250785f;	val_dir[2038*3 + 2] = 0.777433f;
 	val_dir[2039*3 + 0] = 0.596653f;	val_dir[2039*3 + 1] = -0.223745f;	val_dir[2039*3 + 2] = 0.770677f;
 	val_dir[2040*3 + 0] = 0.615457f;	val_dir[2040*3 + 1] = -0.196946f;	val_dir[2040*3 + 2] = 0.763167f;
 	val_dir[2041*3 + 0] = 0.633205f;	val_dir[2041*3 + 1] = -0.170478f;	val_dir[2041*3 + 2] = 0.754976f;
 	val_dir[2042*3 + 0] = 0.649895f;	val_dir[2042*3 + 1] = -0.144421f;	val_dir[2042*3 + 2] = 0.746176f;
 	val_dir[2043*3 + 0] = 0.665536f;	val_dir[2043*3 + 1] = -0.118846f;	val_dir[2043*3 + 2] = 0.736843f;
 	val_dir[2044*3 + 0] = 0.680144f;	val_dir[2044*3 + 1] = -0.093813f;	val_dir[2044*3 + 2] = 0.727051f;
 	val_dir[2045*3 + 0] = 0.693746f;	val_dir[2045*3 + 1] = -0.069375f;	val_dir[2045*3 + 2] = 0.716871f;
 	val_dir[2046*3 + 0] = 0.706372f;	val_dir[2046*3 + 1] = -0.045572f;	val_dir[2046*3 + 2] = 0.706372f;
 	val_dir[2047*3 + 0] = 0.718059f;	val_dir[2047*3 + 1] = -0.022439f;	val_dir[2047*3 + 2] = 0.695620f;
 	val_dir[2048*3 + 0] = 0.728848f;	val_dir[2048*3 + 1] = 0.0f;	val_dir[2048*3 + 2] = 0.684675f;
 	val_dir[2049*3 + 0] = 0.760644f;	val_dir[2049*3 + 1] = 0.022372f;	val_dir[2049*3 + 2] = 0.648784f;
 	val_dir[2050*3 + 0] = 0.790973f;	val_dir[2050*3 + 1] = 0.045198f;	val_dir[2050*3 + 2] = 0.610179f;
 	val_dir[2051*3 + 0] = 0.819453f;	val_dir[2051*3 + 1] = 0.068288f;	val_dir[2051*3 + 2] = 0.569064f;
 	val_dir[2052*3 + 0] = 0.845728f;	val_dir[2052*3 + 1] = 0.091430f;	val_dir[2052*3 + 2] = 0.525723f;
 	val_dir[2053*3 + 0] = 0.869495f;	val_dir[2053*3 + 1] = 0.114407f;	val_dir[2053*3 + 2] = 0.480510f;
 	val_dir[2054*3 + 0] = 0.890513f;	val_dir[2054*3 + 1] = 0.137002f;	val_dir[2054*3 + 2] = 0.433840f;
 	val_dir[2055*3 + 0] = 0.908622f;	val_dir[2055*3 + 1] = 0.159009f;	val_dir[2055*3 + 2] = 0.386164f;
 	val_dir[2056*3 + 0] = 0.923742f;	val_dir[2056*3 + 1] = 0.180242f;	val_dir[2056*3 + 2] = 0.337954f;
 	val_dir[2057*3 + 0] = 0.935879f;	val_dir[2057*3 + 1] = 0.200545f;	val_dir[2057*3 + 2] = 0.289677f;
 	val_dir[2058*3 + 0] = 0.945112f;	val_dir[2058*3 + 1] = 0.219793f;	val_dir[2058*3 + 2] = 0.241773f;
 	val_dir[2059*3 + 0] = 0.951588f;	val_dir[2059*3 + 1] = 0.237897f;	val_dir[2059*3 + 2] = 0.194643f;
 	val_dir[2060*3 + 0] = 0.955502f;	val_dir[2060*3 + 1] = 0.254801f;	val_dir[2060*3 + 2] = 0.148634f;
 	val_dir[2061*3 + 0] = 0.957088f;	val_dir[2061*3 + 1] = 0.270481f;	val_dir[2061*3 + 2] = 0.104031f;
 	val_dir[2062*3 + 0] = 0.956597f;	val_dir[2062*3 + 1] = 0.284944f;	val_dir[2062*3 + 2] = 0.061059f;
 	val_dir[2063*3 + 0] = 0.954291f;	val_dir[2063*3 + 1] = 0.298216f;	val_dir[2063*3 + 2] = 0.019881f;
 	val_dir[2064*3 + 0] = -0.316228f;	val_dir[2064*3 + 1] = -0.948683f;	val_dir[2064*3 + 2] = 0.0f;
 	val_dir[2065*3 + 0] = -0.303791f;	val_dir[2065*3 + 1] = -0.951877f;	val_dir[2065*3 + 2] = 0.040505f;
 	val_dir[2066*3 + 0] = -0.290159f;	val_dir[2066*3 + 1] = -0.953381f;	val_dir[2066*3 + 2] = 0.082903f;
 	val_dir[2067*3 + 0] = -0.275290f;	val_dir[2067*3 + 1] = -0.952928f;	val_dir[2067*3 + 2] = 0.127057f;
 	val_dir[2068*3 + 0] = -0.259161f;	val_dir[2068*3 + 1] = -0.950255f;	val_dir[2068*3 + 2] = 0.172774f;
 	val_dir[2069*3 + 0] = -0.241773f;	val_dir[2069*3 + 1] = -0.945112f;	val_dir[2069*3 + 2] = 0.219793f;
 	val_dir[2070*3 + 0] = -0.223161f;	val_dir[2070*3 + 1] = -0.937276f;	val_dir[2070*3 + 2] = 0.267793f;
 	val_dir[2071*3 + 0] = -0.203393f;	val_dir[2071*3 + 1] = -0.926568f;	val_dir[2071*3 + 2] = 0.316389f;
 	val_dir[2072*3 + 0] = -0.182574f;	val_dir[2072*3 + 1] = -0.912871f;	val_dir[2072*3 + 2] = 0.365148f;
 	val_dir[2073*3 + 0] = -0.160845f;	val_dir[2073*3 + 1] = -0.896137f;	val_dir[2073*3 + 2] = 0.413602f;
 	val_dir[2074*3 + 0] = -0.138380f;	val_dir[2074*3 + 1] = -0.876405f;	val_dir[2074*3 + 2] = 0.461266f;
 	val_dir[2075*3 + 0] = -0.115378f;	val_dir[2075*3 + 1] = -0.853796f;	val_dir[2075*3 + 2] = 0.507662f;
 	val_dir[2076*3 + 0] = -0.092057f;	val_dir[2076*3 + 1] = -0.828517f;	val_dir[2076*3 + 2] = 0.552345f;
 	val_dir[2077*3 + 0] = -0.068644f;	val_dir[2077*3 + 1] = -0.800850f;	val_dir[2077*3 + 2] = 0.594917f;
 	val_dir[2078*3 + 0] = -0.045361f;	val_dir[2078*3 + 1] = -0.771136f;	val_dir[2078*3 + 2] = 0.635053f;
 	val_dir[2079*3 + 0] = -0.022417f;	val_dir[2079*3 + 1] = -0.739754f;	val_dir[2079*3 + 2] = 0.672504f;
 	val_dir[2080*3 + 0] = 0.0f;	val_dir[2080*3 + 1] = -0.707107f;	val_dir[2080*3 + 2] = 0.707107f;
 	val_dir[2081*3 + 0] = 0.022439f;	val_dir[2081*3 + 1] = -0.695620f;	val_dir[2081*3 + 2] = 0.718059f;
 	val_dir[2082*3 + 0] = 0.045549f;	val_dir[2082*3 + 1] = -0.683231f;	val_dir[2082*3 + 2] = 0.728780f;
 	val_dir[2083*3 + 0] = 0.069301f;	val_dir[2083*3 + 1] = -0.669905f;	val_dir[2083*3 + 2] = 0.739205f;
 	val_dir[2084*3 + 0] = 0.093659f;	val_dir[2084*3 + 1] = -0.655610f;	val_dir[2084*3 + 2] = 0.749269f;
 	val_dir[2085*3 + 0] = 0.118578f;	val_dir[2085*3 + 1] = -0.640321f;	val_dir[2085*3 + 2] = 0.758899f;
 	val_dir[2086*3 + 0] = 0.144005f;	val_dir[2086*3 + 1] = -0.624020f;	val_dir[2086*3 + 2] = 0.768025f;
 	val_dir[2087*3 + 0] = 0.169875f;	val_dir[2087*3 + 1] = -0.606696f;	val_dir[2087*3 + 2] = 0.776571f;
 	val_dir[2088*3 + 0] = 0.196116f;	val_dir[2088*3 + 1] = -0.588348f;	val_dir[2088*3 + 2] = 0.784465f;
 	val_dir[2089*3 + 0] = 0.222647f;	val_dir[2089*3 + 1] = -0.568986f;	val_dir[2089*3 + 2] = 0.791633f;
 	val_dir[2090*3 + 0] = 0.249377f;	val_dir[2090*3 + 1] = -0.548630f;	val_dir[2090*3 + 2] = 0.798007f;
 	val_dir[2091*3 + 0] = 0.276211f;	val_dir[2091*3 + 1] = -0.527312f;	val_dir[2091*3 + 2] = 0.803523f;
 	val_dir[2092*3 + 0] = 0.303046f;	val_dir[2092*3 + 1] = -0.505076f;	val_dir[2092*3 + 2] = 0.808122f;
 	val_dir[2093*3 + 0] = 0.329775f;	val_dir[2093*3 + 1] = -0.481979f;	val_dir[2093*3 + 2] = 0.811754f;
 	val_dir[2094*3 + 0] = 0.356291f;	val_dir[2094*3 + 1] = -0.458088f;	val_dir[2094*3 + 2] = 0.814379f;
 	val_dir[2095*3 + 0] = 0.382484f;	val_dir[2095*3 + 1] = -0.433482f;	val_dir[2095*3 + 2] = 0.815966f;
 	val_dir[2096*3 + 0] = 0.408248f;	val_dir[2096*3 + 1] = -0.408248f;	val_dir[2096*3 + 2] = 0.816497f;
 	val_dir[2097*3 + 0] = 0.433482f;	val_dir[2097*3 + 1] = -0.382484f;	val_dir[2097*3 + 2] = 0.815966f;
 	val_dir[2098*3 + 0] = 0.458088f;	val_dir[2098*3 + 1] = -0.356291f;	val_dir[2098*3 + 2] = 0.814379f;
 	val_dir[2099*3 + 0] = 0.481979f;	val_dir[2099*3 + 1] = -0.329775f;	val_dir[2099*3 + 2] = 0.811754f;
 	val_dir[2100*3 + 0] = 0.505076f;	val_dir[2100*3 + 1] = -0.303046f;	val_dir[2100*3 + 2] = 0.808122f;
 	val_dir[2101*3 + 0] = 0.527312f;	val_dir[2101*3 + 1] = -0.276211f;	val_dir[2101*3 + 2] = 0.803523f;
 	val_dir[2102*3 + 0] = 0.548630f;	val_dir[2102*3 + 1] = -0.249377f;	val_dir[2102*3 + 2] = 0.798007f;
 	val_dir[2103*3 + 0] = 0.568986f;	val_dir[2103*3 + 1] = -0.222647f;	val_dir[2103*3 + 2] = 0.791633f;
 	val_dir[2104*3 + 0] = 0.588348f;	val_dir[2104*3 + 1] = -0.196116f;	val_dir[2104*3 + 2] = 0.784465f;
 	val_dir[2105*3 + 0] = 0.606696f;	val_dir[2105*3 + 1] = -0.169875f;	val_dir[2105*3 + 2] = 0.776571f;
 	val_dir[2106*3 + 0] = 0.624020f;	val_dir[2106*3 + 1] = -0.144005f;	val_dir[2106*3 + 2] = 0.768025f;
 	val_dir[2107*3 + 0] = 0.640321f;	val_dir[2107*3 + 1] = -0.118578f;	val_dir[2107*3 + 2] = 0.758899f;
 	val_dir[2108*3 + 0] = 0.655610f;	val_dir[2108*3 + 1] = -0.093659f;	val_dir[2108*3 + 2] = 0.749269f;
 	val_dir[2109*3 + 0] = 0.669905f;	val_dir[2109*3 + 1] = -0.069301f;	val_dir[2109*3 + 2] = 0.739205f;
 	val_dir[2110*3 + 0] = 0.683231f;	val_dir[2110*3 + 1] = -0.045549f;	val_dir[2110*3 + 2] = 0.728780f;
 	val_dir[2111*3 + 0] = 0.695620f;	val_dir[2111*3 + 1] = -0.022439f;	val_dir[2111*3 + 2] = 0.718059f;
 	val_dir[2112*3 + 0] = 0.707107f;	val_dir[2112*3 + 1] = 0.0f;	val_dir[2112*3 + 2] = 0.707107f;
 	val_dir[2113*3 + 0] = 0.739754f;	val_dir[2113*3 + 1] = 0.022417f;	val_dir[2113*3 + 2] = 0.672504f;
 	val_dir[2114*3 + 0] = 0.771136f;	val_dir[2114*3 + 1] = 0.045361f;	val_dir[2114*3 + 2] = 0.635053f;
 	val_dir[2115*3 + 0] = 0.800850f;	val_dir[2115*3 + 1] = 0.068644f;	val_dir[2115*3 + 2] = 0.594917f;
 	val_dir[2116*3 + 0] = 0.828517f;	val_dir[2116*3 + 1] = 0.092057f;	val_dir[2116*3 + 2] = 0.552345f;
 	val_dir[2117*3 + 0] = 0.853796f;	val_dir[2117*3 + 1] = 0.115378f;	val_dir[2117*3 + 2] = 0.507662f;
 	val_dir[2118*3 + 0] = 0.876405f;	val_dir[2118*3 + 1] = 0.138380f;	val_dir[2118*3 + 2] = 0.461266f;
 	val_dir[2119*3 + 0] = 0.896137f;	val_dir[2119*3 + 1] = 0.160845f;	val_dir[2119*3 + 2] = 0.413602f;
 	val_dir[2120*3 + 0] = 0.912871f;	val_dir[2120*3 + 1] = 0.182574f;	val_dir[2120*3 + 2] = 0.365148f;
 	val_dir[2121*3 + 0] = 0.926568f;	val_dir[2121*3 + 1] = 0.203393f;	val_dir[2121*3 + 2] = 0.316389f;
 	val_dir[2122*3 + 0] = 0.937276f;	val_dir[2122*3 + 1] = 0.223161f;	val_dir[2122*3 + 2] = 0.267793f;
 	val_dir[2123*3 + 0] = 0.945112f;	val_dir[2123*3 + 1] = 0.241773f;	val_dir[2123*3 + 2] = 0.219793f;
 	val_dir[2124*3 + 0] = 0.950255f;	val_dir[2124*3 + 1] = 0.259161f;	val_dir[2124*3 + 2] = 0.172774f;
 	val_dir[2125*3 + 0] = 0.952928f;	val_dir[2125*3 + 1] = 0.275290f;	val_dir[2125*3 + 2] = 0.127057f;
 	val_dir[2126*3 + 0] = 0.953381f;	val_dir[2126*3 + 1] = 0.290159f;	val_dir[2126*3 + 2] = 0.082903f;
 	val_dir[2127*3 + 0] = 0.951877f;	val_dir[2127*3 + 1] = 0.303791f;	val_dir[2127*3 + 2] = 0.040505f;
 	val_dir[2128*3 + 0] = 0.948683f;	val_dir[2128*3 + 1] = 0.316228f;	val_dir[2128*3 + 2] = 0.0f;
 	val_dir[2129*3 + 0] = -0.322198f;	val_dir[2129*3 + 1] = -0.946458f;	val_dir[2129*3 + 2] = 0.020137f;
 	val_dir[2130*3 + 0] = -0.309426f;	val_dir[2130*3 + 1] = -0.948908f;	val_dir[2130*3 + 2] = 0.061885f;
 	val_dir[2131*3 + 0] = -0.295409f;	val_dir[2131*3 + 1] = -0.949528f;	val_dir[2131*3 + 2] = 0.105503f;
 	val_dir[2132*3 + 0] = -0.280105f;	val_dir[2132*3 + 1] = -0.948047f;	val_dir[2132*3 + 2] = 0.150826f;
 	val_dir[2133*3 + 0] = -0.263498f;	val_dir[2133*3 + 1] = -0.94420f;	val_dir[2133*3 + 2] = 0.197623f;
 	val_dir[2134*3 + 0] = -0.245599f;	val_dir[2134*3 + 1] = -0.937743f;	val_dir[2134*3 + 2] = 0.245599f;
 	val_dir[2135*3 + 0] = -0.226455f;	val_dir[2135*3 + 1] = -0.928467f;	val_dir[2135*3 + 2] = 0.294392f;
 	val_dir[2136*3 + 0] = -0.206149f;	val_dir[2136*3 + 1] = -0.916217f;	val_dir[2136*3 + 2] = 0.343582f;
 	val_dir[2137*3 + 0] = -0.184801f;	val_dir[2137*3 + 1] = -0.900907f;	val_dir[2137*3 + 2] = 0.392703f;
 	val_dir[2138*3 + 0] = -0.162571f;	val_dir[2138*3 + 1] = -0.882528f;	val_dir[2138*3 + 2] = 0.441264f;
 	val_dir[2139*3 + 0] = -0.139648f;	val_dir[2139*3 + 1] = -0.861164f;	val_dir[2139*3 + 2] = 0.488769f;
 	val_dir[2140*3 + 0] = -0.116248f;	val_dir[2140*3 + 1] = -0.836983f;	val_dir[2140*3 + 2] = 0.534739f;
 	val_dir[2141*3 + 0] = -0.092599f;	val_dir[2141*3 + 1] = -0.810237f;	val_dir[2141*3 + 2] = 0.578741f;
 	val_dir[2142*3 + 0] = -0.068934f;	val_dir[2142*3 + 1] = -0.781248f;	val_dir[2142*3 + 2] = 0.620403f;
 	val_dir[2143*3 + 0] = -0.045478f;	val_dir[2143*3 + 1] = -0.750388f;	val_dir[2143*3 + 2] = 0.659432f;
 	val_dir[2144*3 + 0] = -0.022439f;	val_dir[2144*3 + 1] = -0.718059f;	val_dir[2144*3 + 2] = 0.695620f;
 	val_dir[2145*3 + 0] = 0.0f;	val_dir[2145*3 + 1] = -0.684675f;	val_dir[2145*3 + 2] = 0.728848f;
 	val_dir[2146*3 + 0] = 0.022417f;	val_dir[2146*3 + 1] = -0.672504f;	val_dir[2146*3 + 2] = 0.739754f;
 	val_dir[2147*3 + 0] = 0.045478f;	val_dir[2147*3 + 1] = -0.659432f;	val_dir[2147*3 + 2] = 0.750388f;
 	val_dir[2148*3 + 0] = 0.069153f;	val_dir[2148*3 + 1] = -0.645429f;	val_dir[2148*3 + 2] = 0.760684f;
 	val_dir[2149*3 + 0] = 0.093403f;	val_dir[2149*3 + 1] = -0.630470f;	val_dir[2149*3 + 2] = 0.770574f;
 	val_dir[2150*3 + 0] = 0.118180f;	val_dir[2150*3 + 1] = -0.614535f;	val_dir[2150*3 + 2] = 0.779987f;
 	val_dir[2151*3 + 0] = 0.143427f;	val_dir[2151*3 + 1] = -0.597614f;	val_dir[2151*3 + 2] = 0.788851f;
 	val_dir[2152*3 + 0] = 0.169080f;	val_dir[2152*3 + 1] = -0.579703f;	val_dir[2152*3 + 2] = 0.797092f;
 	val_dir[2153*3 + 0] = 0.195064f;	val_dir[2153*3 + 1] = -0.560809f;	val_dir[2153*3 + 2] = 0.804639f;
 	val_dir[2154*3 + 0] = 0.221297f;	val_dir[2154*3 + 1] = -0.540947f;	val_dir[2154*3 + 2] = 0.811421f;
 	val_dir[2155*3 + 0] = 0.247689f;	val_dir[2155*3 + 1] = -0.520146f;	val_dir[2155*3 + 2] = 0.817373f;
 	val_dir[2156*3 + 0] = 0.274145f;	val_dir[2156*3 + 1] = -0.498445f;	val_dir[2156*3 + 2] = 0.822434f;
 	val_dir[2157*3 + 0] = 0.300564f;	val_dir[2157*3 + 1] = -0.475893f;	val_dir[2157*3 + 2] = 0.826551f;
 	val_dir[2158*3 + 0] = 0.326844f;	val_dir[2158*3 + 1] = -0.452553f;	val_dir[2158*3 + 2] = 0.829680f;
 	val_dir[2159*3 + 0] = 0.352879f;	val_dir[2159*3 + 1] = -0.428496f;	val_dir[2159*3 + 2] = 0.831786f;
 	val_dir[2160*3 + 0] = 0.378566f;	val_dir[2160*3 + 1] = -0.403804f;	val_dir[2160*3 + 2] = 0.832845f;
 	val_dir[2161*3 + 0] = 0.403804f;	val_dir[2161*3 + 1] = -0.378566f;	val_dir[2161*3 + 2] = 0.832845f;
 	val_dir[2162*3 + 0] = 0.428496f;	val_dir[2162*3 + 1] = -0.352879f;	val_dir[2162*3 + 2] = 0.831786f;
 	val_dir[2163*3 + 0] = 0.452553f;	val_dir[2163*3 + 1] = -0.326844f;	val_dir[2163*3 + 2] = 0.829680f;
 	val_dir[2164*3 + 0] = 0.475893f;	val_dir[2164*3 + 1] = -0.300564f;	val_dir[2164*3 + 2] = 0.826551f;
 	val_dir[2165*3 + 0] = 0.498445f;	val_dir[2165*3 + 1] = -0.274145f;	val_dir[2165*3 + 2] = 0.822434f;
 	val_dir[2166*3 + 0] = 0.520146f;	val_dir[2166*3 + 1] = -0.247689f;	val_dir[2166*3 + 2] = 0.817373f;
 	val_dir[2167*3 + 0] = 0.540947f;	val_dir[2167*3 + 1] = -0.221297f;	val_dir[2167*3 + 2] = 0.811421f;
 	val_dir[2168*3 + 0] = 0.560809f;	val_dir[2168*3 + 1] = -0.195064f;	val_dir[2168*3 + 2] = 0.804639f;
 	val_dir[2169*3 + 0] = 0.579703f;	val_dir[2169*3 + 1] = -0.169080f;	val_dir[2169*3 + 2] = 0.797092f;
 	val_dir[2170*3 + 0] = 0.597614f;	val_dir[2170*3 + 1] = -0.143427f;	val_dir[2170*3 + 2] = 0.788851f;
 	val_dir[2171*3 + 0] = 0.614535f;	val_dir[2171*3 + 1] = -0.118180f;	val_dir[2171*3 + 2] = 0.779987f;
 	val_dir[2172*3 + 0] = 0.630470f;	val_dir[2172*3 + 1] = -0.093403f;	val_dir[2172*3 + 2] = 0.770574f;
 	val_dir[2173*3 + 0] = 0.645429f;	val_dir[2173*3 + 1] = -0.069153f;	val_dir[2173*3 + 2] = 0.760684f;
 	val_dir[2174*3 + 0] = 0.659432f;	val_dir[2174*3 + 1] = -0.045478f;	val_dir[2174*3 + 2] = 0.750388f;
 	val_dir[2175*3 + 0] = 0.672504f;	val_dir[2175*3 + 1] = -0.022417f;	val_dir[2175*3 + 2] = 0.739754f;
 	val_dir[2176*3 + 0] = 0.684675f;	val_dir[2176*3 + 1] = 0.0f;	val_dir[2176*3 + 2] = 0.728848f;
 	val_dir[2177*3 + 0] = 0.718059f;	val_dir[2177*3 + 1] = 0.022439f;	val_dir[2177*3 + 2] = 0.695620f;
 	val_dir[2178*3 + 0] = 0.750388f;	val_dir[2178*3 + 1] = 0.045478f;	val_dir[2178*3 + 2] = 0.659432f;
 	val_dir[2179*3 + 0] = 0.781248f;	val_dir[2179*3 + 1] = 0.068934f;	val_dir[2179*3 + 2] = 0.620403f;
 	val_dir[2180*3 + 0] = 0.810237f;	val_dir[2180*3 + 1] = 0.092599f;	val_dir[2180*3 + 2] = 0.578741f;
 	val_dir[2181*3 + 0] = 0.836983f;	val_dir[2181*3 + 1] = 0.116248f;	val_dir[2181*3 + 2] = 0.534739f;
 	val_dir[2182*3 + 0] = 0.861164f;	val_dir[2182*3 + 1] = 0.139648f;	val_dir[2182*3 + 2] = 0.488769f;
 	val_dir[2183*3 + 0] = 0.882528f;	val_dir[2183*3 + 1] = 0.162571f;	val_dir[2183*3 + 2] = 0.441264f;
 	val_dir[2184*3 + 0] = 0.900907f;	val_dir[2184*3 + 1] = 0.184801f;	val_dir[2184*3 + 2] = 0.392703f;
 	val_dir[2185*3 + 0] = 0.916217f;	val_dir[2185*3 + 1] = 0.206149f;	val_dir[2185*3 + 2] = 0.343582f;
 	val_dir[2186*3 + 0] = 0.928467f;	val_dir[2186*3 + 1] = 0.226455f;	val_dir[2186*3 + 2] = 0.294392f;
 	val_dir[2187*3 + 0] = 0.937743f;	val_dir[2187*3 + 1] = 0.245599f;	val_dir[2187*3 + 2] = 0.245599f;
 	val_dir[2188*3 + 0] = 0.94420f;	val_dir[2188*3 + 1] = 0.263498f;	val_dir[2188*3 + 2] = 0.197623f;
 	val_dir[2189*3 + 0] = 0.948047f;	val_dir[2189*3 + 1] = 0.280105f;	val_dir[2189*3 + 2] = 0.150826f;
 	val_dir[2190*3 + 0] = 0.949528f;	val_dir[2190*3 + 1] = 0.295409f;	val_dir[2190*3 + 2] = 0.105503f;
 	val_dir[2191*3 + 0] = 0.948908f;	val_dir[2191*3 + 1] = 0.309426f;	val_dir[2191*3 + 2] = 0.061885f;
 	val_dir[2192*3 + 0] = 0.946458f;	val_dir[2192*3 + 1] = 0.322198f;	val_dir[2192*3 + 2] = 0.020137f;
 	val_dir[2193*3 + 0] = -0.340136f;	val_dir[2193*3 + 1] = -0.940376f;	val_dir[2193*3 + 2] = 0.0f;
 	val_dir[2194*3 + 0] = -0.328244f;	val_dir[2194*3 + 1] = -0.943701f;	val_dir[2194*3 + 2] = 0.041030f;
 	val_dir[2195*3 + 0] = -0.315109f;	val_dir[2195*3 + 1] = -0.945328f;	val_dir[2195*3 + 2] = 0.084029f;
 	val_dir[2196*3 + 0] = -0.300676f;	val_dir[2196*3 + 1] = -0.944981f;	val_dir[2196*3 + 2] = 0.128861f;
 	val_dir[2197*3 + 0] = -0.284907f;	val_dir[2197*3 + 1] = -0.942384f;	val_dir[2197*3 + 2] = 0.175327f;
 	val_dir[2198*3 + 0] = -0.267793f;	val_dir[2198*3 + 1] = -0.937276f;	val_dir[2198*3 + 2] = 0.223161f;
 	val_dir[2199*3 + 0] = -0.249357f;	val_dir[2199*3 + 1] = -0.929421f;	val_dir[2199*3 + 2] = 0.272026f;
 	val_dir[2200*3 + 0] = -0.229658f;	val_dir[2200*3 + 1] = -0.918630f;	val_dir[2200*3 + 2] = 0.321521f;
 	val_dir[2201*3 + 0] = -0.208795f;	val_dir[2201*3 + 1] = -0.904777f;	val_dir[2201*3 + 2] = 0.371191f;
 	val_dir[2202*3 + 0] = -0.186908f;	val_dir[2202*3 + 1] = -0.887812f;	val_dir[2202*3 + 2] = 0.420542f;
 	val_dir[2203*3 + 0] = -0.164173f;	val_dir[2203*3 + 1] = -0.867770f;	val_dir[2203*3 + 2] = 0.469065f;
 	val_dir[2204*3 + 0] = -0.140797f;	val_dir[2204*3 + 1] = -0.844782f;	val_dir[2204*3 + 2] = 0.516256f;
 	val_dir[2205*3 + 0] = -0.117009f;	val_dir[2205*3 + 1] = -0.819064f;	val_dir[2205*3 + 2] = 0.561644f;
 	val_dir[2206*3 + 0] = -0.093048f;	val_dir[2206*3 + 1] = -0.790912f;	val_dir[2206*3 + 2] = 0.604815f;
 	val_dir[2207*3 + 0] = -0.069153f;	val_dir[2207*3 + 1] = -0.760684f;	val_dir[2207*3 + 2] = 0.645429f;
 	val_dir[2208*3 + 0] = -0.045549f;	val_dir[2208*3 + 1] = -0.728780f;	val_dir[2208*3 + 2] = 0.683231f;
 	val_dir[2209*3 + 0] = -0.022439f;	val_dir[2209*3 + 1] = -0.695620f;	val_dir[2209*3 + 2] = 0.718059f;
 	val_dir[2210*3 + 0] = 0.0f;	val_dir[2210*3 + 1] = -0.661622f;	val_dir[2210*3 + 2] = 0.749838f;
 	val_dir[2211*3 + 0] = 0.022372f;	val_dir[2211*3 + 1] = -0.648784f;	val_dir[2211*3 + 2] = 0.760644f;
 	val_dir[2212*3 + 0] = 0.045361f;	val_dir[2212*3 + 1] = -0.635053f;	val_dir[2212*3 + 2] = 0.771136f;
 	val_dir[2213*3 + 0] = 0.068934f;	val_dir[2213*3 + 1] = -0.620403f;	val_dir[2213*3 + 2] = 0.781248f;
 	val_dir[2214*3 + 0] = 0.093048f;	val_dir[2214*3 + 1] = -0.604815f;	val_dir[2214*3 + 2] = 0.790912f;
 	val_dir[2215*3 + 0] = 0.117655f;	val_dir[2215*3 + 1] = -0.588276f;	val_dir[2215*3 + 2] = 0.800055f;
 	val_dir[2216*3 + 0] = 0.142695f;	val_dir[2216*3 + 1] = -0.570782f;	val_dir[2216*3 + 2] = 0.808608f;
 	val_dir[2217*3 + 0] = 0.168102f;	val_dir[2217*3 + 1] = -0.552336f;	val_dir[2217*3 + 2] = 0.816497f;
 	val_dir[2218*3 + 0] = 0.193801f;	val_dir[2218*3 + 1] = -0.532952f;	val_dir[2218*3 + 2] = 0.823653f;
 	val_dir[2219*3 + 0] = 0.219708f;	val_dir[2219*3 + 1] = -0.512653f;	val_dir[2219*3 + 2] = 0.830009f;
 	val_dir[2220*3 + 0] = 0.245737f;	val_dir[2220*3 + 1] = -0.491473f;	val_dir[2220*3 + 2] = 0.835504f;
 	val_dir[2221*3 + 0] = 0.271791f;	val_dir[2221*3 + 1] = -0.469458f;	val_dir[2221*3 + 2] = 0.840083f;
 	val_dir[2222*3 + 0] = 0.297775f;	val_dir[2222*3 + 1] = -0.446662f;	val_dir[2222*3 + 2] = 0.843696f;
 	val_dir[2223*3 + 0] = 0.323587f;	val_dir[2223*3 + 1] = -0.423153f;	val_dir[2223*3 + 2] = 0.846305f;
 	val_dir[2224*3 + 0] = 0.349128f;	val_dir[2224*3 + 1] = -0.399004f;	val_dir[2224*3 + 2] = 0.847883f;
 	val_dir[2225*3 + 0] = 0.374299f;	val_dir[2225*3 + 1] = -0.374299f;	val_dir[2225*3 + 2] = 0.848411f;
 	val_dir[2226*3 + 0] = 0.399004f;	val_dir[2226*3 + 1] = -0.349128f;	val_dir[2226*3 + 2] = 0.847883f;
 	val_dir[2227*3 + 0] = 0.423153f;	val_dir[2227*3 + 1] = -0.323587f;	val_dir[2227*3 + 2] = 0.846305f;
 	val_dir[2228*3 + 0] = 0.446662f;	val_dir[2228*3 + 1] = -0.297775f;	val_dir[2228*3 + 2] = 0.843696f;
 	val_dir[2229*3 + 0] = 0.469458f;	val_dir[2229*3 + 1] = -0.271791f;	val_dir[2229*3 + 2] = 0.840083f;
 	val_dir[2230*3 + 0] = 0.491473f;	val_dir[2230*3 + 1] = -0.245737f;	val_dir[2230*3 + 2] = 0.835504f;
 	val_dir[2231*3 + 0] = 0.512653f;	val_dir[2231*3 + 1] = -0.219708f;	val_dir[2231*3 + 2] = 0.830009f;
 	val_dir[2232*3 + 0] = 0.532952f;	val_dir[2232*3 + 1] = -0.193801f;	val_dir[2232*3 + 2] = 0.823653f;
 	val_dir[2233*3 + 0] = 0.552336f;	val_dir[2233*3 + 1] = -0.168102f;	val_dir[2233*3 + 2] = 0.816497f;
 	val_dir[2234*3 + 0] = 0.570782f;	val_dir[2234*3 + 1] = -0.142695f;	val_dir[2234*3 + 2] = 0.808608f;
 	val_dir[2235*3 + 0] = 0.588276f;	val_dir[2235*3 + 1] = -0.117655f;	val_dir[2235*3 + 2] = 0.800055f;
 	val_dir[2236*3 + 0] = 0.604815f;	val_dir[2236*3 + 1] = -0.093048f;	val_dir[2236*3 + 2] = 0.790912f;
 	val_dir[2237*3 + 0] = 0.620403f;	val_dir[2237*3 + 1] = -0.068934f;	val_dir[2237*3 + 2] = 0.781248f;
 	val_dir[2238*3 + 0] = 0.635053f;	val_dir[2238*3 + 1] = -0.045361f;	val_dir[2238*3 + 2] = 0.771136f;
 	val_dir[2239*3 + 0] = 0.648784f;	val_dir[2239*3 + 1] = -0.022372f;	val_dir[2239*3 + 2] = 0.760644f;
 	val_dir[2240*3 + 0] = 0.661622f;	val_dir[2240*3 + 1] = 0.0f;	val_dir[2240*3 + 2] = 0.749838f;
 	val_dir[2241*3 + 0] = 0.695620f;	val_dir[2241*3 + 1] = 0.022439f;	val_dir[2241*3 + 2] = 0.718059f;
 	val_dir[2242*3 + 0] = 0.728780f;	val_dir[2242*3 + 1] = 0.045549f;	val_dir[2242*3 + 2] = 0.683231f;
 	val_dir[2243*3 + 0] = 0.760684f;	val_dir[2243*3 + 1] = 0.069153f;	val_dir[2243*3 + 2] = 0.645429f;
 	val_dir[2244*3 + 0] = 0.790912f;	val_dir[2244*3 + 1] = 0.093048f;	val_dir[2244*3 + 2] = 0.604815f;
 	val_dir[2245*3 + 0] = 0.819064f;	val_dir[2245*3 + 1] = 0.117009f;	val_dir[2245*3 + 2] = 0.561644f;
 	val_dir[2246*3 + 0] = 0.844782f;	val_dir[2246*3 + 1] = 0.140797f;	val_dir[2246*3 + 2] = 0.516256f;
 	val_dir[2247*3 + 0] = 0.867770f;	val_dir[2247*3 + 1] = 0.164173f;	val_dir[2247*3 + 2] = 0.469065f;
 	val_dir[2248*3 + 0] = 0.887812f;	val_dir[2248*3 + 1] = 0.186908f;	val_dir[2248*3 + 2] = 0.420542f;
 	val_dir[2249*3 + 0] = 0.904777f;	val_dir[2249*3 + 1] = 0.208795f;	val_dir[2249*3 + 2] = 0.371191f;
 	val_dir[2250*3 + 0] = 0.918630f;	val_dir[2250*3 + 1] = 0.229658f;	val_dir[2250*3 + 2] = 0.321521f;
 	val_dir[2251*3 + 0] = 0.929421f;	val_dir[2251*3 + 1] = 0.249357f;	val_dir[2251*3 + 2] = 0.272026f;
 	val_dir[2252*3 + 0] = 0.937276f;	val_dir[2252*3 + 1] = 0.267793f;	val_dir[2252*3 + 2] = 0.223161f;
 	val_dir[2253*3 + 0] = 0.942384f;	val_dir[2253*3 + 1] = 0.284907f;	val_dir[2253*3 + 2] = 0.175327f;
 	val_dir[2254*3 + 0] = 0.944981f;	val_dir[2254*3 + 1] = 0.300676f;	val_dir[2254*3 + 2] = 0.128861f;
 	val_dir[2255*3 + 0] = 0.945328f;	val_dir[2255*3 + 1] = 0.315109f;	val_dir[2255*3 + 2] = 0.084029f;
 	val_dir[2256*3 + 0] = 0.943701f;	val_dir[2256*3 + 1] = 0.328244f;	val_dir[2256*3 + 2] = 0.041030f;
 	val_dir[2257*3 + 0] = 0.940376f;	val_dir[2257*3 + 1] = 0.340136f;	val_dir[2257*3 + 2] = 0.0f;
 	val_dir[2258*3 + 0] = -0.346578f;	val_dir[2258*3 + 1] = -0.93780f;	val_dir[2258*3 + 2] = 0.020387f;
 	val_dir[2259*3 + 0] = -0.334351f;	val_dir[2259*3 + 1] = -0.940361f;	val_dir[2259*3 + 2] = 0.062691f;
 	val_dir[2260*3 + 0] = -0.320824f;	val_dir[2260*3 + 1] = -0.941082f;	val_dir[2260*3 + 2] = 0.106941f;
 	val_dir[2261*3 + 0] = -0.305942f;	val_dir[2261*3 + 1] = -0.939680f;	val_dir[2261*3 + 2] = 0.152971f;
 	val_dir[2262*3 + 0] = -0.289677f;	val_dir[2262*3 + 1] = -0.935879f;	val_dir[2262*3 + 2] = 0.200545f;
 	val_dir[2263*3 + 0] = -0.272026f;	val_dir[2263*3 + 1] = -0.929421f;	val_dir[2263*3 + 2] = 0.249357f;
 	val_dir[2264*3 + 0] = -0.253024f;	val_dir[2264*3 + 1] = -0.920087f;	val_dir[2264*3 + 2] = 0.299028f;
 	val_dir[2265*3 + 0] = -0.232747f;	val_dir[2265*3 + 1] = -0.907713f;	val_dir[2265*3 + 2] = 0.349121f;
 	val_dir[2266*3 + 0] = -0.211312f;	val_dir[2266*3 + 1] = -0.892206f;	val_dir[2266*3 + 2] = 0.399145f;
 	val_dir[2267*3 + 0] = -0.188877f;	val_dir[2267*3 + 1] = -0.873555f;	val_dir[2267*3 + 2] = 0.448583f;
 	val_dir[2268*3 + 0] = -0.165637f;	val_dir[2268*3 + 1] = -0.851847f;	val_dir[2268*3 + 2] = 0.496911f;
 	val_dir[2269*3 + 0] = -0.141816f;	val_dir[2269*3 + 1] = -0.827259f;	val_dir[2269*3 + 2] = 0.543627f;
 	val_dir[2270*3 + 0] = -0.117655f;	val_dir[2270*3 + 1] = -0.800055f;	val_dir[2270*3 + 2] = 0.588276f;
 	val_dir[2271*3 + 0] = -0.093403f;	val_dir[2271*3 + 1] = -0.770574f;	val_dir[2271*3 + 2] = 0.630470f;
 	val_dir[2272*3 + 0] = -0.069301f;	val_dir[2272*3 + 1] = -0.739205f;	val_dir[2272*3 + 2] = 0.669905f;
 	val_dir[2273*3 + 0] = -0.045572f;	val_dir[2273*3 + 1] = -0.706372f;	val_dir[2273*3 + 2] = 0.706372f;
 	val_dir[2274*3 + 0] = -0.022417f;	val_dir[2274*3 + 1] = -0.672504f;	val_dir[2274*3 + 2] = 0.739754f;
 	val_dir[2275*3 + 0] = 0.0f;	val_dir[2275*3 + 1] = -0.638018f;	val_dir[2275*3 + 2] = 0.770022f;
 	val_dir[2276*3 + 0] = 0.022305f;	val_dir[2276*3 + 1] = -0.624540f;	val_dir[2276*3 + 2] = 0.780675f;
 	val_dir[2277*3 + 0] = 0.045198f;	val_dir[2277*3 + 1] = -0.610179f;	val_dir[2277*3 + 2] = 0.790973f;
 	val_dir[2278*3 + 0] = 0.068644f;	val_dir[2278*3 + 1] = -0.594917f;	val_dir[2278*3 + 2] = 0.800850f;
 	val_dir[2279*3 + 0] = 0.092599f;	val_dir[2279*3 + 1] = -0.578741f;	val_dir[2279*3 + 2] = 0.810237f;
 	val_dir[2280*3 + 0] = 0.117009f;	val_dir[2280*3 + 1] = -0.561644f;	val_dir[2280*3 + 2] = 0.819064f;
 	val_dir[2281*3 + 0] = 0.141816f;	val_dir[2281*3 + 1] = -0.543627f;	val_dir[2281*3 + 2] = 0.827259f;
 	val_dir[2282*3 + 0] = 0.166951f;	val_dir[2282*3 + 1] = -0.524703f;	val_dir[2282*3 + 2] = 0.834754f;
 	val_dir[2283*3 + 0] = 0.192339f;	val_dir[2283*3 + 1] = -0.504889f;	val_dir[2283*3 + 2] = 0.841482f;
 	val_dir[2284*3 + 0] = 0.217898f;	val_dir[2284*3 + 1] = -0.484217f;	val_dir[2284*3 + 2] = 0.847381f;
 	val_dir[2285*3 + 0] = 0.243541f;	val_dir[2285*3 + 1] = -0.462727f;	val_dir[2285*3 + 2] = 0.852392f;
 	val_dir[2286*3 + 0] = 0.269175f;	val_dir[2286*3 + 1] = -0.440468f;	val_dir[2286*3 + 2] = 0.856465f;
 	val_dir[2287*3 + 0] = 0.294706f;	val_dir[2287*3 + 1] = -0.41750f;	val_dir[2287*3 + 2] = 0.859559f;
 	val_dir[2288*3 + 0] = 0.320038f;	val_dir[2288*3 + 1] = -0.393893f;	val_dir[2288*3 + 2] = 0.861640f;
 	val_dir[2289*3 + 0] = 0.345075f;	val_dir[2289*3 + 1] = -0.369723f;	val_dir[2289*3 + 2] = 0.862687f;
 	val_dir[2290*3 + 0] = 0.369723f;	val_dir[2290*3 + 1] = -0.345075f;	val_dir[2290*3 + 2] = 0.862687f;
 	val_dir[2291*3 + 0] = 0.393893f;	val_dir[2291*3 + 1] = -0.320038f;	val_dir[2291*3 + 2] = 0.861640f;
 	val_dir[2292*3 + 0] = 0.41750f;	val_dir[2292*3 + 1] = -0.294706f;	val_dir[2292*3 + 2] = 0.859559f;
 	val_dir[2293*3 + 0] = 0.440468f;	val_dir[2293*3 + 1] = -0.269175f;	val_dir[2293*3 + 2] = 0.856465f;
 	val_dir[2294*3 + 0] = 0.462727f;	val_dir[2294*3 + 1] = -0.243541f;	val_dir[2294*3 + 2] = 0.852392f;
 	val_dir[2295*3 + 0] = 0.484217f;	val_dir[2295*3 + 1] = -0.217898f;	val_dir[2295*3 + 2] = 0.847381f;
 	val_dir[2296*3 + 0] = 0.504889f;	val_dir[2296*3 + 1] = -0.192339f;	val_dir[2296*3 + 2] = 0.841482f;
 	val_dir[2297*3 + 0] = 0.524703f;	val_dir[2297*3 + 1] = -0.166951f;	val_dir[2297*3 + 2] = 0.834754f;
 	val_dir[2298*3 + 0] = 0.543627f;	val_dir[2298*3 + 1] = -0.141816f;	val_dir[2298*3 + 2] = 0.827259f;
 	val_dir[2299*3 + 0] = 0.561644f;	val_dir[2299*3 + 1] = -0.117009f;	val_dir[2299*3 + 2] = 0.819064f;
 	val_dir[2300*3 + 0] = 0.578741f;	val_dir[2300*3 + 1] = -0.092599f;	val_dir[2300*3 + 2] = 0.810237f;
 	val_dir[2301*3 + 0] = 0.594917f;	val_dir[2301*3 + 1] = -0.068644f;	val_dir[2301*3 + 2] = 0.800850f;
 	val_dir[2302*3 + 0] = 0.610179f;	val_dir[2302*3 + 1] = -0.045198f;	val_dir[2302*3 + 2] = 0.790973f;
 	val_dir[2303*3 + 0] = 0.624540f;	val_dir[2303*3 + 1] = -0.022305f;	val_dir[2303*3 + 2] = 0.780675f;
 	val_dir[2304*3 + 0] = 0.638018f;	val_dir[2304*3 + 1] = 0.0f;	val_dir[2304*3 + 2] = 0.770022f;
 	val_dir[2305*3 + 0] = 0.672504f;	val_dir[2305*3 + 1] = 0.022417f;	val_dir[2305*3 + 2] = 0.739754f;
 	val_dir[2306*3 + 0] = 0.706372f;	val_dir[2306*3 + 1] = 0.045572f;	val_dir[2306*3 + 2] = 0.706372f;
 	val_dir[2307*3 + 0] = 0.739205f;	val_dir[2307*3 + 1] = 0.069301f;	val_dir[2307*3 + 2] = 0.669905f;
 	val_dir[2308*3 + 0] = 0.770574f;	val_dir[2308*3 + 1] = 0.093403f;	val_dir[2308*3 + 2] = 0.630470f;
 	val_dir[2309*3 + 0] = 0.800055f;	val_dir[2309*3 + 1] = 0.117655f;	val_dir[2309*3 + 2] = 0.588276f;
 	val_dir[2310*3 + 0] = 0.827259f;	val_dir[2310*3 + 1] = 0.141816f;	val_dir[2310*3 + 2] = 0.543627f;
 	val_dir[2311*3 + 0] = 0.851847f;	val_dir[2311*3 + 1] = 0.165637f;	val_dir[2311*3 + 2] = 0.496911f;
 	val_dir[2312*3 + 0] = 0.873555f;	val_dir[2312*3 + 1] = 0.188877f;	val_dir[2312*3 + 2] = 0.448583f;
 	val_dir[2313*3 + 0] = 0.892206f;	val_dir[2313*3 + 1] = 0.211312f;	val_dir[2313*3 + 2] = 0.399145f;
 	val_dir[2314*3 + 0] = 0.907713f;	val_dir[2314*3 + 1] = 0.232747f;	val_dir[2314*3 + 2] = 0.349121f;
 	val_dir[2315*3 + 0] = 0.920087f;	val_dir[2315*3 + 1] = 0.253024f;	val_dir[2315*3 + 2] = 0.299028f;
 	val_dir[2316*3 + 0] = 0.929421f;	val_dir[2316*3 + 1] = 0.272026f;	val_dir[2316*3 + 2] = 0.249357f;
 	val_dir[2317*3 + 0] = 0.935879f;	val_dir[2317*3 + 1] = 0.289677f;	val_dir[2317*3 + 2] = 0.200545f;
 	val_dir[2318*3 + 0] = 0.939680f;	val_dir[2318*3 + 1] = 0.305942f;	val_dir[2318*3 + 2] = 0.152971f;
 	val_dir[2319*3 + 0] = 0.941082f;	val_dir[2319*3 + 1] = 0.320824f;	val_dir[2319*3 + 2] = 0.106941f;
 	val_dir[2320*3 + 0] = 0.940361f;	val_dir[2320*3 + 1] = 0.334351f;	val_dir[2320*3 + 2] = 0.062691f;
 	val_dir[2321*3 + 0] = 0.93780f;	val_dir[2321*3 + 1] = 0.346578f;	val_dir[2321*3 + 2] = 0.020387f;
 	val_dir[2322*3 + 0] = -0.364399f;	val_dir[2322*3 + 1] = -0.931243f;	val_dir[2322*3 + 2] = 0.0f;
 	val_dir[2323*3 + 0] = -0.353096f;	val_dir[2323*3 + 1] = -0.934665f;	val_dir[2323*3 + 2] = 0.041541f;
 	val_dir[2324*3 + 0] = -0.340503f;	val_dir[2324*3 + 1] = -0.936382f;	val_dir[2324*3 + 2] = 0.085126f;
 	val_dir[2325*3 + 0] = -0.326550f;	val_dir[2325*3 + 1] = -0.936111f;	val_dir[2325*3 + 2] = 0.130620f;
 	val_dir[2326*3 + 0] = -0.311188f;	val_dir[2326*3 + 1] = -0.933564f;	val_dir[2326*3 + 2] = 0.177822f;
 	val_dir[2327*3 + 0] = -0.294392f;	val_dir[2327*3 + 1] = -0.928467f;	val_dir[2327*3 + 2] = 0.226455f;
 	val_dir[2328*3 + 0] = -0.276172f;	val_dir[2328*3 + 1] = -0.920575f;	val_dir[2328*3 + 2] = 0.276172f;
 	val_dir[2329*3 + 0] = -0.256578f;	val_dir[2329*3 + 1] = -0.909687f;	val_dir[2329*3 + 2] = 0.326554f;
 	val_dir[2330*3 + 0] = -0.235702f;	val_dir[2330*3 + 1] = -0.895669f;	val_dir[2330*3 + 2] = 0.377124f;
 	val_dir[2331*3 + 0] = -0.213681f;	val_dir[2331*3 + 1] = -0.878466f;	val_dir[2331*3 + 2] = 0.427362f;
 	val_dir[2332*3 + 0] = -0.190693f;	val_dir[2332*3 + 1] = -0.858116f;	val_dir[2332*3 + 2] = 0.476731f;
 	val_dir[2333*3 + 0] = -0.166951f;	val_dir[2333*3 + 1] = -0.834754f;	val_dir[2333*3 + 2] = 0.524703f;
 	val_dir[2334*3 + 0] = -0.142695f;	val_dir[2334*3 + 1] = -0.808608f;	val_dir[2334*3 + 2] = 0.570782f;
 	val_dir[2335*3 + 0] = -0.118180f;	val_dir[2335*3 + 1] = -0.779987f;	val_dir[2335*3 + 2] = 0.614535f;
 	val_dir[2336*3 + 0] = -0.093659f;	val_dir[2336*3 + 1] = -0.749269f;	val_dir[2336*3 + 2] = 0.655610f;
 	val_dir[2337*3 + 0] = -0.069375f;	val_dir[2337*3 + 1] = -0.716871f;	val_dir[2337*3 + 2] = 0.693746f;
 	val_dir[2338*3 + 0] = -0.045549f;	val_dir[2338*3 + 1] = -0.683231f;	val_dir[2338*3 + 2] = 0.728780f;
 	val_dir[2339*3 + 0] = -0.022372f;	val_dir[2339*3 + 1] = -0.648784f;	val_dir[2339*3 + 2] = 0.760644f;
 	val_dir[2340*3 + 0] = 0.0f;	val_dir[2340*3 + 1] = -0.613941f;	val_dir[2340*3 + 2] = 0.789352f;
 	val_dir[2341*3 + 0] = 0.022217f;	val_dir[2341*3 + 1] = -0.599852f;	val_dir[2341*3 + 2] = 0.799803f;
 	val_dir[2342*3 + 0] = 0.044992f;	val_dir[2342*3 + 1] = -0.584898f;	val_dir[2342*3 + 2] = 0.809858f;
 	val_dir[2343*3 + 0] = 0.068288f;	val_dir[2343*3 + 1] = -0.569064f;	val_dir[2343*3 + 2] = 0.819453f;
 	val_dir[2344*3 + 0] = 0.092057f;	val_dir[2344*3 + 1] = -0.552345f;	val_dir[2344*3 + 2] = 0.828517f;
 	val_dir[2345*3 + 0] = 0.116248f;	val_dir[2345*3 + 1] = -0.534739f;	val_dir[2345*3 + 2] = 0.836983f;
 	val_dir[2346*3 + 0] = 0.140797f;	val_dir[2346*3 + 1] = -0.516256f;	val_dir[2346*3 + 2] = 0.844782f;
 	val_dir[2347*3 + 0] = 0.165637f;	val_dir[2347*3 + 1] = -0.496911f;	val_dir[2347*3 + 2] = 0.851847f;
 	val_dir[2348*3 + 0] = 0.190693f;	val_dir[2348*3 + 1] = -0.476731f;	val_dir[2348*3 + 2] = 0.858116f;
 	val_dir[2349*3 + 0] = 0.215883f;	val_dir[2349*3 + 1] = -0.455752f;	val_dir[2349*3 + 2] = 0.863530f;
 	val_dir[2350*3 + 0] = 0.241121f;	val_dir[2350*3 + 1] = -0.434019f;	val_dir[2350*3 + 2] = 0.868037f;
 	val_dir[2351*3 + 0] = 0.266320f;	val_dir[2351*3 + 1] = -0.411585f;	val_dir[2351*3 + 2] = 0.871592f;
 	val_dir[2352*3 + 0] = 0.291386f;	val_dir[2352*3 + 1] = -0.388514f;	val_dir[2352*3 + 2] = 0.874157f;
 	val_dir[2353*3 + 0] = 0.316228f;	val_dir[2353*3 + 1] = -0.364878f;	val_dir[2353*3 + 2] = 0.875708f;
 	val_dir[2354*3 + 0] = 0.340755f;	val_dir[2354*3 + 1] = -0.340755f;	val_dir[2354*3 + 2] = 0.876226f;
 	val_dir[2355*3 + 0] = 0.364878f;	val_dir[2355*3 + 1] = -0.316228f;	val_dir[2355*3 + 2] = 0.875708f;
 	val_dir[2356*3 + 0] = 0.388514f;	val_dir[2356*3 + 1] = -0.291386f;	val_dir[2356*3 + 2] = 0.874157f;
 	val_dir[2357*3 + 0] = 0.411585f;	val_dir[2357*3 + 1] = -0.266320f;	val_dir[2357*3 + 2] = 0.871592f;
 	val_dir[2358*3 + 0] = 0.434019f;	val_dir[2358*3 + 1] = -0.241121f;	val_dir[2358*3 + 2] = 0.868037f;
 	val_dir[2359*3 + 0] = 0.455752f;	val_dir[2359*3 + 1] = -0.215883f;	val_dir[2359*3 + 2] = 0.863530f;
 	val_dir[2360*3 + 0] = 0.476731f;	val_dir[2360*3 + 1] = -0.190693f;	val_dir[2360*3 + 2] = 0.858116f;
 	val_dir[2361*3 + 0] = 0.496911f;	val_dir[2361*3 + 1] = -0.165637f;	val_dir[2361*3 + 2] = 0.851847f;
 	val_dir[2362*3 + 0] = 0.516256f;	val_dir[2362*3 + 1] = -0.140797f;	val_dir[2362*3 + 2] = 0.844782f;
 	val_dir[2363*3 + 0] = 0.534739f;	val_dir[2363*3 + 1] = -0.116248f;	val_dir[2363*3 + 2] = 0.836983f;
 	val_dir[2364*3 + 0] = 0.552345f;	val_dir[2364*3 + 1] = -0.092057f;	val_dir[2364*3 + 2] = 0.828517f;
 	val_dir[2365*3 + 0] = 0.569064f;	val_dir[2365*3 + 1] = -0.068288f;	val_dir[2365*3 + 2] = 0.819453f;
 	val_dir[2366*3 + 0] = 0.584898f;	val_dir[2366*3 + 1] = -0.044992f;	val_dir[2366*3 + 2] = 0.809858f;
 	val_dir[2367*3 + 0] = 0.599852f;	val_dir[2367*3 + 1] = -0.022217f;	val_dir[2367*3 + 2] = 0.799803f;
 	val_dir[2368*3 + 0] = 0.613941f;	val_dir[2368*3 + 1] = 0.0f;	val_dir[2368*3 + 2] = 0.789352f;
 	val_dir[2369*3 + 0] = 0.648784f;	val_dir[2369*3 + 1] = 0.022372f;	val_dir[2369*3 + 2] = 0.760644f;
 	val_dir[2370*3 + 0] = 0.683231f;	val_dir[2370*3 + 1] = 0.045549f;	val_dir[2370*3 + 2] = 0.728780f;
 	val_dir[2371*3 + 0] = 0.716871f;	val_dir[2371*3 + 1] = 0.069375f;	val_dir[2371*3 + 2] = 0.693746f;
 	val_dir[2372*3 + 0] = 0.749269f;	val_dir[2372*3 + 1] = 0.093659f;	val_dir[2372*3 + 2] = 0.655610f;
 	val_dir[2373*3 + 0] = 0.779987f;	val_dir[2373*3 + 1] = 0.118180f;	val_dir[2373*3 + 2] = 0.614535f;
 	val_dir[2374*3 + 0] = 0.808608f;	val_dir[2374*3 + 1] = 0.142695f;	val_dir[2374*3 + 2] = 0.570782f;
 	val_dir[2375*3 + 0] = 0.834754f;	val_dir[2375*3 + 1] = 0.166951f;	val_dir[2375*3 + 2] = 0.524703f;
 	val_dir[2376*3 + 0] = 0.858116f;	val_dir[2376*3 + 1] = 0.190693f;	val_dir[2376*3 + 2] = 0.476731f;
 	val_dir[2377*3 + 0] = 0.878466f;	val_dir[2377*3 + 1] = 0.213681f;	val_dir[2377*3 + 2] = 0.427362f;
 	val_dir[2378*3 + 0] = 0.895669f;	val_dir[2378*3 + 1] = 0.235702f;	val_dir[2378*3 + 2] = 0.377124f;
 	val_dir[2379*3 + 0] = 0.909687f;	val_dir[2379*3 + 1] = 0.256578f;	val_dir[2379*3 + 2] = 0.326554f;
 	val_dir[2380*3 + 0] = 0.920575f;	val_dir[2380*3 + 1] = 0.276172f;	val_dir[2380*3 + 2] = 0.276172f;
 	val_dir[2381*3 + 0] = 0.928467f;	val_dir[2381*3 + 1] = 0.294392f;	val_dir[2381*3 + 2] = 0.226455f;
 	val_dir[2382*3 + 0] = 0.933564f;	val_dir[2382*3 + 1] = 0.311188f;	val_dir[2382*3 + 2] = 0.177822f;
 	val_dir[2383*3 + 0] = 0.936111f;	val_dir[2383*3 + 1] = 0.326550f;	val_dir[2383*3 + 2] = 0.130620f;
 	val_dir[2384*3 + 0] = 0.936382f;	val_dir[2384*3 + 1] = 0.340503f;	val_dir[2384*3 + 2] = 0.085126f;
 	val_dir[2385*3 + 0] = 0.934665f;	val_dir[2385*3 + 1] = 0.353096f;	val_dir[2385*3 + 2] = 0.041541f;
 	val_dir[2386*3 + 0] = 0.931243f;	val_dir[2386*3 + 1] = 0.364399f;	val_dir[2386*3 + 2] = 0.0f;
 	val_dir[2387*3 + 0] = -0.371312f;	val_dir[2387*3 + 1] = -0.928279f;	val_dir[2387*3 + 2] = 0.020628f;
 	val_dir[2388*3 + 0] = -0.359673f;	val_dir[2388*3 + 1] = -0.930917f;	val_dir[2388*3 + 2] = 0.063472f;
 	val_dir[2389*3 + 0] = -0.346681f;	val_dir[2389*3 + 1] = -0.931705f;	val_dir[2389*3 + 2] = 0.108338f;
 	val_dir[2390*3 + 0] = -0.332269f;	val_dir[2390*3 + 1] = -0.930352f;	val_dir[2390*3 + 2] = 0.155059f;
 	val_dir[2391*3 + 0] = -0.316389f;	val_dir[2391*3 + 1] = -0.926568f;	val_dir[2391*3 + 2] = 0.203393f;
 	val_dir[2392*3 + 0] = -0.299028f;	val_dir[2392*3 + 1] = -0.920087f;	val_dir[2392*3 + 2] = 0.253024f;
 	val_dir[2393*3 + 0] = -0.280209f;	val_dir[2393*3 + 1] = -0.910678f;	val_dir[2393*3 + 2] = 0.303559f;
 	val_dir[2394*3 + 0] = -0.259996f;	val_dir[2394*3 + 1] = -0.898167f;	val_dir[2394*3 + 2] = 0.354540f;
 	val_dir[2395*3 + 0] = -0.238501f;	val_dir[2395*3 + 1] = -0.882454f;	val_dir[2395*3 + 2] = 0.405452f;
 	val_dir[2396*3 + 0] = -0.215883f;	val_dir[2396*3 + 1] = -0.863530f;	val_dir[2396*3 + 2] = 0.455752f;
 	val_dir[2397*3 + 0] = -0.192339f;	val_dir[2397*3 + 1] = -0.841482f;	val_dir[2397*3 + 2] = 0.504889f;
 	val_dir[2398*3 + 0] = -0.168102f;	val_dir[2398*3 + 1] = -0.816497f;	val_dir[2398*3 + 2] = 0.552336f;
 	val_dir[2399*3 + 0] = -0.143427f;	val_dir[2399*3 + 1] = -0.788851f;	val_dir[2399*3 + 2] = 0.597614f;
 	val_dir[2400*3 + 0] = -0.118578f;	val_dir[2400*3 + 1] = -0.758899f;	val_dir[2400*3 + 2] = 0.640321f;
 	val_dir[2401*3 + 0] = -0.093813f;	val_dir[2401*3 + 1] = -0.727051f;	val_dir[2401*3 + 2] = 0.680144f;
 	val_dir[2402*3 + 0] = -0.069375f;	val_dir[2402*3 + 1] = -0.693746f;	val_dir[2402*3 + 2] = 0.716871f;
 	val_dir[2403*3 + 0] = -0.045478f;	val_dir[2403*3 + 1] = -0.659432f;	val_dir[2403*3 + 2] = 0.750388f;
 	val_dir[2404*3 + 0] = -0.022305f;	val_dir[2404*3 + 1] = -0.624540f;	val_dir[2404*3 + 2] = 0.780675f;
 	val_dir[2405*3 + 0] = 0.0f;	val_dir[2405*3 + 1] = -0.589469f;	val_dir[2405*3 + 2] = 0.807791f;
 	val_dir[2406*3 + 0] = 0.022108f;	val_dir[2406*3 + 1] = -0.574805f;	val_dir[2406*3 + 2] = 0.817992f;
 	val_dir[2407*3 + 0] = 0.044744f;	val_dir[2407*3 + 1] = -0.559297f;	val_dir[2407*3 + 2] = 0.827759f;
 	val_dir[2408*3 + 0] = 0.067867f;	val_dir[2408*3 + 1] = -0.542936f;	val_dir[2408*3 + 2] = 0.837027f;
 	val_dir[2409*3 + 0] = 0.091430f;	val_dir[2409*3 + 1] = -0.525723f;	val_dir[2409*3 + 2] = 0.845728f;
 	val_dir[2410*3 + 0] = 0.115378f;	val_dir[2410*3 + 1] = -0.507662f;	val_dir[2410*3 + 2] = 0.853796f;
 	val_dir[2411*3 + 0] = 0.139648f;	val_dir[2411*3 + 1] = -0.488769f;	val_dir[2411*3 + 2] = 0.861164f;
 	val_dir[2412*3 + 0] = 0.164173f;	val_dir[2412*3 + 1] = -0.469065f;	val_dir[2412*3 + 2] = 0.867770f;
 	val_dir[2413*3 + 0] = 0.188877f;	val_dir[2413*3 + 1] = -0.448583f;	val_dir[2413*3 + 2] = 0.873555f;
 	val_dir[2414*3 + 0] = 0.213681f;	val_dir[2414*3 + 1] = -0.427362f;	val_dir[2414*3 + 2] = 0.878466f;
 	val_dir[2415*3 + 0] = 0.238501f;	val_dir[2415*3 + 1] = -0.405452f;	val_dir[2415*3 + 2] = 0.882454f;
 	val_dir[2416*3 + 0] = 0.263251f;	val_dir[2416*3 + 1] = -0.382911f;	val_dir[2416*3 + 2] = 0.885482f;
 	val_dir[2417*3 + 0] = 0.287843f;	val_dir[2417*3 + 1] = -0.359804f;	val_dir[2417*3 + 2] = 0.887517f;
 	val_dir[2418*3 + 0] = 0.312190f;	val_dir[2418*3 + 1] = -0.336204f;	val_dir[2418*3 + 2] = 0.888540f;
 	val_dir[2419*3 + 0] = 0.336204f;	val_dir[2419*3 + 1] = -0.312190f;	val_dir[2419*3 + 2] = 0.888540f;
 	val_dir[2420*3 + 0] = 0.359804f;	val_dir[2420*3 + 1] = -0.287843f;	val_dir[2420*3 + 2] = 0.887517f;
 	val_dir[2421*3 + 0] = 0.382911f;	val_dir[2421*3 + 1] = -0.263251f;	val_dir[2421*3 + 2] = 0.885482f;
 	val_dir[2422*3 + 0] = 0.405452f;	val_dir[2422*3 + 1] = -0.238501f;	val_dir[2422*3 + 2] = 0.882454f;
 	val_dir[2423*3 + 0] = 0.427362f;	val_dir[2423*3 + 1] = -0.213681f;	val_dir[2423*3 + 2] = 0.878466f;
 	val_dir[2424*3 + 0] = 0.448583f;	val_dir[2424*3 + 1] = -0.188877f;	val_dir[2424*3 + 2] = 0.873555f;
 	val_dir[2425*3 + 0] = 0.469065f;	val_dir[2425*3 + 1] = -0.164173f;	val_dir[2425*3 + 2] = 0.867770f;
 	val_dir[2426*3 + 0] = 0.488769f;	val_dir[2426*3 + 1] = -0.139648f;	val_dir[2426*3 + 2] = 0.861164f;
 	val_dir[2427*3 + 0] = 0.507662f;	val_dir[2427*3 + 1] = -0.115378f;	val_dir[2427*3 + 2] = 0.853796f;
 	val_dir[2428*3 + 0] = 0.525723f;	val_dir[2428*3 + 1] = -0.091430f;	val_dir[2428*3 + 2] = 0.845728f;
 	val_dir[2429*3 + 0] = 0.542936f;	val_dir[2429*3 + 1] = -0.067867f;	val_dir[2429*3 + 2] = 0.837027f;
 	val_dir[2430*3 + 0] = 0.559297f;	val_dir[2430*3 + 1] = -0.044744f;	val_dir[2430*3 + 2] = 0.827759f;
 	val_dir[2431*3 + 0] = 0.574805f;	val_dir[2431*3 + 1] = -0.022108f;	val_dir[2431*3 + 2] = 0.817992f;
 	val_dir[2432*3 + 0] = 0.589469f;	val_dir[2432*3 + 1] = 0.0f;	val_dir[2432*3 + 2] = 0.807791f;
 	val_dir[2433*3 + 0] = 0.624540f;	val_dir[2433*3 + 1] = 0.022305f;	val_dir[2433*3 + 2] = 0.780675f;
 	val_dir[2434*3 + 0] = 0.659432f;	val_dir[2434*3 + 1] = 0.045478f;	val_dir[2434*3 + 2] = 0.750388f;
 	val_dir[2435*3 + 0] = 0.693746f;	val_dir[2435*3 + 1] = 0.069375f;	val_dir[2435*3 + 2] = 0.716871f;
 	val_dir[2436*3 + 0] = 0.727051f;	val_dir[2436*3 + 1] = 0.093813f;	val_dir[2436*3 + 2] = 0.680144f;
 	val_dir[2437*3 + 0] = 0.758899f;	val_dir[2437*3 + 1] = 0.118578f;	val_dir[2437*3 + 2] = 0.640321f;
 	val_dir[2438*3 + 0] = 0.788851f;	val_dir[2438*3 + 1] = 0.143427f;	val_dir[2438*3 + 2] = 0.597614f;
 	val_dir[2439*3 + 0] = 0.816497f;	val_dir[2439*3 + 1] = 0.168102f;	val_dir[2439*3 + 2] = 0.552336f;
 	val_dir[2440*3 + 0] = 0.841482f;	val_dir[2440*3 + 1] = 0.192339f;	val_dir[2440*3 + 2] = 0.504889f;
 	val_dir[2441*3 + 0] = 0.863530f;	val_dir[2441*3 + 1] = 0.215883f;	val_dir[2441*3 + 2] = 0.455752f;
 	val_dir[2442*3 + 0] = 0.882454f;	val_dir[2442*3 + 1] = 0.238501f;	val_dir[2442*3 + 2] = 0.405452f;
 	val_dir[2443*3 + 0] = 0.898167f;	val_dir[2443*3 + 1] = 0.259996f;	val_dir[2443*3 + 2] = 0.354540f;
 	val_dir[2444*3 + 0] = 0.910678f;	val_dir[2444*3 + 1] = 0.280209f;	val_dir[2444*3 + 2] = 0.303559f;
 	val_dir[2445*3 + 0] = 0.920087f;	val_dir[2445*3 + 1] = 0.299028f;	val_dir[2445*3 + 2] = 0.253024f;
 	val_dir[2446*3 + 0] = 0.926568f;	val_dir[2446*3 + 1] = 0.316389f;	val_dir[2446*3 + 2] = 0.203393f;
 	val_dir[2447*3 + 0] = 0.930352f;	val_dir[2447*3 + 1] = 0.332269f;	val_dir[2447*3 + 2] = 0.155059f;
 	val_dir[2448*3 + 0] = 0.931705f;	val_dir[2448*3 + 1] = 0.346681f;	val_dir[2448*3 + 2] = 0.108338f;
 	val_dir[2449*3 + 0] = 0.930917f;	val_dir[2449*3 + 1] = 0.359673f;	val_dir[2449*3 + 2] = 0.063472f;
 	val_dir[2450*3 + 0] = 0.928279f;	val_dir[2450*3 + 1] = 0.371312f;	val_dir[2450*3 + 2] = 0.020628f;
 	val_dir[2451*3 + 0] = -0.388972f;	val_dir[2451*3 + 1] = -0.921250f;	val_dir[2451*3 + 2] = 0.0f;
 	val_dir[2452*3 + 0] = -0.378298f;	val_dir[2452*3 + 1] = -0.924729f;	val_dir[2452*3 + 2] = 0.042033f;
 	val_dir[2453*3 + 0] = -0.366291f;	val_dir[2453*3 + 1] = -0.92650f;	val_dir[2453*3 + 2] = 0.086186f;
 	val_dir[2454*3 + 0] = -0.352865f;	val_dir[2454*3 + 1] = -0.926270f;	val_dir[2454*3 + 2] = 0.132324f;
 	val_dir[2455*3 + 0] = -0.337954f;	val_dir[2455*3 + 1] = -0.923742f;	val_dir[2455*3 + 2] = 0.180242f;
 	val_dir[2456*3 + 0] = -0.321521f;	val_dir[2456*3 + 1] = -0.918630f;	val_dir[2456*3 + 2] = 0.229658f;
 	val_dir[2457*3 + 0] = -0.303559f;	val_dir[2457*3 + 1] = -0.910678f;	val_dir[2457*3 + 2] = 0.280209f;
 	val_dir[2458*3 + 0] = -0.284108f;	val_dir[2458*3 + 1] = -0.899676f;	val_dir[2458*3 + 2] = 0.331460f;
 	val_dir[2459*3 + 0] = -0.263251f;	val_dir[2459*3 + 1] = -0.885482f;	val_dir[2459*3 + 2] = 0.382911f;
 	val_dir[2460*3 + 0] = -0.241121f;	val_dir[2460*3 + 1] = -0.868037f;	val_dir[2460*3 + 2] = 0.434019f;
 	val_dir[2461*3 + 0] = -0.217898f;	val_dir[2461*3 + 1] = -0.847381f;	val_dir[2461*3 + 2] = 0.484217f;
 	val_dir[2462*3 + 0] = -0.193801f;	val_dir[2462*3 + 1] = -0.823653f;	val_dir[2462*3 + 2] = 0.532952f;
 	val_dir[2463*3 + 0] = -0.169080f;	val_dir[2463*3 + 1] = -0.797092f;	val_dir[2463*3 + 2] = 0.579703f;
 	val_dir[2464*3 + 0] = -0.144005f;	val_dir[2464*3 + 1] = -0.768025f;	val_dir[2464*3 + 2] = 0.624020f;
 	val_dir[2465*3 + 0] = -0.118846f;	val_dir[2465*3 + 1] = -0.736843f;	val_dir[2465*3 + 2] = 0.665536f;
 	val_dir[2466*3 + 0] = -0.093865f;	val_dir[2466*3 + 1] = -0.703985f;	val_dir[2466*3 + 2] = 0.703985f;
 	val_dir[2467*3 + 0] = -0.069301f;	val_dir[2467*3 + 1] = -0.669905f;	val_dir[2467*3 + 2] = 0.739205f;
 	val_dir[2468*3 + 0] = -0.045361f;	val_dir[2468*3 + 1] = -0.635053f;	val_dir[2468*3 + 2] = 0.771136f;
 	val_dir[2469*3 + 0] = -0.022217f;	val_dir[2469*3 + 1] = -0.599852f;	val_dir[2469*3 + 2] = 0.799803f;
 	val_dir[2470*3 + 0] = 0.0f;	val_dir[2470*3 + 1] = -0.564684f;	val_dir[2470*3 + 2] = 0.825307f;
 	val_dir[2471*3 + 0] = 0.021979f;	val_dir[2471*3 + 1] = -0.549484f;	val_dir[2471*3 + 2] = 0.835215f;
 	val_dir[2472*3 + 0] = 0.044455f;	val_dir[2472*3 + 1] = -0.533465f;	val_dir[2472*3 + 2] = 0.844653f;
 	val_dir[2473*3 + 0] = 0.067386f;	val_dir[2473*3 + 1] = -0.516626f;	val_dir[2473*3 + 2] = 0.853556f;
 	val_dir[2474*3 + 0] = 0.090722f;	val_dir[2474*3 + 1] = -0.498970f;	val_dir[2474*3 + 2] = 0.861857f;
 	val_dir[2475*3 + 0] = 0.114407f;	val_dir[2475*3 + 1] = -0.480510f;	val_dir[2475*3 + 2] = 0.869495f;
 	val_dir[2476*3 + 0] = 0.138380f;	val_dir[2476*3 + 1] = -0.461266f;	val_dir[2476*3 + 2] = 0.876405f;
 	val_dir[2477*3 + 0] = 0.162571f;	val_dir[2477*3 + 1] = -0.441264f;	val_dir[2477*3 + 2] = 0.882528f;
 	val_dir[2478*3 + 0] = 0.186908f;	val_dir[2478*3 + 1] = -0.420542f;	val_dir[2478*3 + 2] = 0.887812f;
 	val_dir[2479*3 + 0] = 0.211312f;	val_dir[2479*3 + 1] = -0.399145f;	val_dir[2479*3 + 2] = 0.892206f;
 	val_dir[2480*3 + 0] = 0.235702f;	val_dir[2480*3 + 1] = -0.377124f;	val_dir[2480*3 + 2] = 0.895669f;
 	val_dir[2481*3 + 0] = 0.259996f;	val_dir[2481*3 + 1] = -0.354540f;	val_dir[2481*3 + 2] = 0.898167f;
 	val_dir[2482*3 + 0] = 0.284108f;	val_dir[2482*3 + 1] = -0.331460f;	val_dir[2482*3 + 2] = 0.899676f;
 	val_dir[2483*3 + 0] = 0.307957f;	val_dir[2483*3 + 1] = -0.307957f;	val_dir[2483*3 + 2] = 0.900181f;
 	val_dir[2484*3 + 0] = 0.331460f;	val_dir[2484*3 + 1] = -0.284108f;	val_dir[2484*3 + 2] = 0.899676f;
 	val_dir[2485*3 + 0] = 0.354540f;	val_dir[2485*3 + 1] = -0.259996f;	val_dir[2485*3 + 2] = 0.898167f;
 	val_dir[2486*3 + 0] = 0.377124f;	val_dir[2486*3 + 1] = -0.235702f;	val_dir[2486*3 + 2] = 0.895669f;
 	val_dir[2487*3 + 0] = 0.399145f;	val_dir[2487*3 + 1] = -0.211312f;	val_dir[2487*3 + 2] = 0.892206f;
 	val_dir[2488*3 + 0] = 0.420542f;	val_dir[2488*3 + 1] = -0.186908f;	val_dir[2488*3 + 2] = 0.887812f;
 	val_dir[2489*3 + 0] = 0.441264f;	val_dir[2489*3 + 1] = -0.162571f;	val_dir[2489*3 + 2] = 0.882528f;
 	val_dir[2490*3 + 0] = 0.461266f;	val_dir[2490*3 + 1] = -0.138380f;	val_dir[2490*3 + 2] = 0.876405f;
 	val_dir[2491*3 + 0] = 0.480510f;	val_dir[2491*3 + 1] = -0.114407f;	val_dir[2491*3 + 2] = 0.869495f;
 	val_dir[2492*3 + 0] = 0.498970f;	val_dir[2492*3 + 1] = -0.090722f;	val_dir[2492*3 + 2] = 0.861857f;
 	val_dir[2493*3 + 0] = 0.516626f;	val_dir[2493*3 + 1] = -0.067386f;	val_dir[2493*3 + 2] = 0.853556f;
 	val_dir[2494*3 + 0] = 0.533465f;	val_dir[2494*3 + 1] = -0.044455f;	val_dir[2494*3 + 2] = 0.844653f;
 	val_dir[2495*3 + 0] = 0.549484f;	val_dir[2495*3 + 1] = -0.021979f;	val_dir[2495*3 + 2] = 0.835215f;
 	val_dir[2496*3 + 0] = 0.564684f;	val_dir[2496*3 + 1] = 0.0f;	val_dir[2496*3 + 2] = 0.825307f;
 	val_dir[2497*3 + 0] = 0.599852f;	val_dir[2497*3 + 1] = 0.022217f;	val_dir[2497*3 + 2] = 0.799803f;
 	val_dir[2498*3 + 0] = 0.635053f;	val_dir[2498*3 + 1] = 0.045361f;	val_dir[2498*3 + 2] = 0.771136f;
 	val_dir[2499*3 + 0] = 0.669905f;	val_dir[2499*3 + 1] = 0.069301f;	val_dir[2499*3 + 2] = 0.739205f;
 	val_dir[2500*3 + 0] = 0.703985f;	val_dir[2500*3 + 1] = 0.093865f;	val_dir[2500*3 + 2] = 0.703985f;
 	val_dir[2501*3 + 0] = 0.736843f;	val_dir[2501*3 + 1] = 0.118846f;	val_dir[2501*3 + 2] = 0.665536f;
 	val_dir[2502*3 + 0] = 0.768025f;	val_dir[2502*3 + 1] = 0.144005f;	val_dir[2502*3 + 2] = 0.624020f;
 	val_dir[2503*3 + 0] = 0.797092f;	val_dir[2503*3 + 1] = 0.169080f;	val_dir[2503*3 + 2] = 0.579703f;
 	val_dir[2504*3 + 0] = 0.823653f;	val_dir[2504*3 + 1] = 0.193801f;	val_dir[2504*3 + 2] = 0.532952f;
 	val_dir[2505*3 + 0] = 0.847381f;	val_dir[2505*3 + 1] = 0.217898f;	val_dir[2505*3 + 2] = 0.484217f;
 	val_dir[2506*3 + 0] = 0.868037f;	val_dir[2506*3 + 1] = 0.241121f;	val_dir[2506*3 + 2] = 0.434019f;
 	val_dir[2507*3 + 0] = 0.885482f;	val_dir[2507*3 + 1] = 0.263251f;	val_dir[2507*3 + 2] = 0.382911f;
 	val_dir[2508*3 + 0] = 0.899676f;	val_dir[2508*3 + 1] = 0.284108f;	val_dir[2508*3 + 2] = 0.331460f;
 	val_dir[2509*3 + 0] = 0.910678f;	val_dir[2509*3 + 1] = 0.303559f;	val_dir[2509*3 + 2] = 0.280209f;
 	val_dir[2510*3 + 0] = 0.918630f;	val_dir[2510*3 + 1] = 0.321521f;	val_dir[2510*3 + 2] = 0.229658f;
 	val_dir[2511*3 + 0] = 0.923742f;	val_dir[2511*3 + 1] = 0.337954f;	val_dir[2511*3 + 2] = 0.180242f;
 	val_dir[2512*3 + 0] = 0.926270f;	val_dir[2512*3 + 1] = 0.352865f;	val_dir[2512*3 + 2] = 0.132324f;
 	val_dir[2513*3 + 0] = 0.92650f;	val_dir[2513*3 + 1] = 0.366291f;	val_dir[2513*3 + 2] = 0.086186f;
 	val_dir[2514*3 + 0] = 0.924729f;	val_dir[2514*3 + 1] = 0.378298f;	val_dir[2514*3 + 2] = 0.042033f;
 	val_dir[2515*3 + 0] = 0.921250f;	val_dir[2515*3 + 1] = 0.388972f;	val_dir[2515*3 + 2] = 0.0f;
 	val_dir[2516*3 + 0] = -0.396350f;	val_dir[2516*3 + 1] = -0.917863f;	val_dir[2516*3 + 2] = 0.020861f;
 	val_dir[2517*3 + 0] = -0.385341f;	val_dir[2517*3 + 1] = -0.920537f;	val_dir[2517*3 + 2] = 0.064223f;
 	val_dir[2518*3 + 0] = -0.372929f;	val_dir[2518*3 + 1] = -0.921354f;	val_dir[2518*3 + 2] = 0.109685f;
 	val_dir[2519*3 + 0] = -0.359030f;	val_dir[2519*3 + 1] = -0.920014f;	val_dir[2519*3 + 2] = 0.157075f;
 	val_dir[2520*3 + 0] = -0.343582f;	val_dir[2520*3 + 1] = -0.916217f;	val_dir[2520*3 + 2] = 0.206149f;
 	val_dir[2521*3 + 0] = -0.326554f;	val_dir[2521*3 + 1] = -0.909687f;	val_dir[2521*3 + 2] = 0.256578f;
 	val_dir[2522*3 + 0] = -0.307957f;	val_dir[2522*3 + 1] = -0.900181f;	val_dir[2522*3 + 2] = 0.307957f;
 	val_dir[2523*3 + 0] = -0.287843f;	val_dir[2523*3 + 1] = -0.887517f;	val_dir[2523*3 + 2] = 0.359804f;
 	val_dir[2524*3 + 0] = -0.266320f;	val_dir[2524*3 + 1] = -0.871592f;	val_dir[2524*3 + 2] = 0.411585f;
 	val_dir[2525*3 + 0] = -0.243541f;	val_dir[2525*3 + 1] = -0.852392f;	val_dir[2525*3 + 2] = 0.462727f;
 	val_dir[2526*3 + 0] = -0.219708f;	val_dir[2526*3 + 1] = -0.830009f;	val_dir[2526*3 + 2] = 0.512653f;
 	val_dir[2527*3 + 0] = -0.195064f;	val_dir[2527*3 + 1] = -0.804639f;	val_dir[2527*3 + 2] = 0.560809f;
 	val_dir[2528*3 + 0] = -0.169875f;	val_dir[2528*3 + 1] = -0.776571f;	val_dir[2528*3 + 2] = 0.606696f;
 	val_dir[2529*3 + 0] = -0.144421f;	val_dir[2529*3 + 1] = -0.746176f;	val_dir[2529*3 + 2] = 0.649895f;
 	val_dir[2530*3 + 0] = -0.118980f;	val_dir[2530*3 + 1] = -0.713881f;	val_dir[2530*3 + 2] = 0.690085f;
 	val_dir[2531*3 + 0] = -0.093813f;	val_dir[2531*3 + 1] = -0.680144f;	val_dir[2531*3 + 2] = 0.727051f;
 	val_dir[2532*3 + 0] = -0.069153f;	val_dir[2532*3 + 1] = -0.645429f;	val_dir[2532*3 + 2] = 0.760684f;
 	val_dir[2533*3 + 0] = -0.045198f;	val_dir[2533*3 + 1] = -0.610179f;	val_dir[2533*3 + 2] = 0.790973f;
 	val_dir[2534*3 + 0] = -0.022108f;	val_dir[2534*3 + 1] = -0.574805f;	val_dir[2534*3 + 2] = 0.817992f;
 	val_dir[2535*3 + 0] = 0.0f;	val_dir[2535*3 + 1] = -0.539666f;	val_dir[2535*3 + 2] = 0.841879f;
 	val_dir[2536*3 + 0] = 0.021832f;	val_dir[2536*3 + 1] = -0.523973f;	val_dir[2536*3 + 2] = 0.851455f;
 	val_dir[2537*3 + 0] = 0.044130f;	val_dir[2537*3 + 1] = -0.507490f;	val_dir[2537*3 + 2] = 0.860527f;
 	val_dir[2538*3 + 0] = 0.066848f;	val_dir[2538*3 + 1] = -0.490222f;	val_dir[2538*3 + 2] = 0.869030f;
 	val_dir[2539*3 + 0] = 0.089939f;	val_dir[2539*3 + 1] = -0.472178f;	val_dir[2539*3 + 2] = 0.876903f;
 	val_dir[2540*3 + 0] = 0.113344f;	val_dir[2540*3 + 1] = -0.453376f;	val_dir[2540*3 + 2] = 0.884083f;
 	val_dir[2541*3 + 0] = 0.137002f;	val_dir[2541*3 + 1] = -0.433840f;	val_dir[2541*3 + 2] = 0.890513f;
 	val_dir[2542*3 + 0] = 0.160845f;	val_dir[2542*3 + 1] = -0.413602f;	val_dir[2542*3 + 2] = 0.896137f;
 	val_dir[2543*3 + 0] = 0.184801f;	val_dir[2543*3 + 1] = -0.392703f;	val_dir[2543*3 + 2] = 0.900907f;
 	val_dir[2544*3 + 0] = 0.208795f;	val_dir[2544*3 + 1] = -0.371191f;	val_dir[2544*3 + 2] = 0.904777f;
 	val_dir[2545*3 + 0] = 0.232747f;	val_dir[2545*3 + 1] = -0.349121f;	val_dir[2545*3 + 2] = 0.907713f;
 	val_dir[2546*3 + 0] = 0.256578f;	val_dir[2546*3 + 1] = -0.326554f;	val_dir[2546*3 + 2] = 0.909687f;
 	val_dir[2547*3 + 0] = 0.280209f;	val_dir[2547*3 + 1] = -0.303559f;	val_dir[2547*3 + 2] = 0.910678f;
 	val_dir[2548*3 + 0] = 0.303559f;	val_dir[2548*3 + 1] = -0.280209f;	val_dir[2548*3 + 2] = 0.910678f;
 	val_dir[2549*3 + 0] = 0.326554f;	val_dir[2549*3 + 1] = -0.256578f;	val_dir[2549*3 + 2] = 0.909687f;
 	val_dir[2550*3 + 0] = 0.349121f;	val_dir[2550*3 + 1] = -0.232747f;	val_dir[2550*3 + 2] = 0.907713f;
 	val_dir[2551*3 + 0] = 0.371191f;	val_dir[2551*3 + 1] = -0.208795f;	val_dir[2551*3 + 2] = 0.904777f;
 	val_dir[2552*3 + 0] = 0.392703f;	val_dir[2552*3 + 1] = -0.184801f;	val_dir[2552*3 + 2] = 0.900907f;
 	val_dir[2553*3 + 0] = 0.413602f;	val_dir[2553*3 + 1] = -0.160845f;	val_dir[2553*3 + 2] = 0.896137f;
 	val_dir[2554*3 + 0] = 0.433840f;	val_dir[2554*3 + 1] = -0.137002f;	val_dir[2554*3 + 2] = 0.890513f;
 	val_dir[2555*3 + 0] = 0.453376f;	val_dir[2555*3 + 1] = -0.113344f;	val_dir[2555*3 + 2] = 0.884083f;
 	val_dir[2556*3 + 0] = 0.472178f;	val_dir[2556*3 + 1] = -0.089939f;	val_dir[2556*3 + 2] = 0.876903f;
 	val_dir[2557*3 + 0] = 0.490222f;	val_dir[2557*3 + 1] = -0.066848f;	val_dir[2557*3 + 2] = 0.869030f;
 	val_dir[2558*3 + 0] = 0.507490f;	val_dir[2558*3 + 1] = -0.044130f;	val_dir[2558*3 + 2] = 0.860527f;
 	val_dir[2559*3 + 0] = 0.523973f;	val_dir[2559*3 + 1] = -0.021832f;	val_dir[2559*3 + 2] = 0.851455f;
 	val_dir[2560*3 + 0] = 0.539666f;	val_dir[2560*3 + 1] = 0.0f;	val_dir[2560*3 + 2] = 0.841879f;
 	val_dir[2561*3 + 0] = 0.574805f;	val_dir[2561*3 + 1] = 0.022108f;	val_dir[2561*3 + 2] = 0.817992f;
 	val_dir[2562*3 + 0] = 0.610179f;	val_dir[2562*3 + 1] = 0.045198f;	val_dir[2562*3 + 2] = 0.790973f;
 	val_dir[2563*3 + 0] = 0.645429f;	val_dir[2563*3 + 1] = 0.069153f;	val_dir[2563*3 + 2] = 0.760684f;
 	val_dir[2564*3 + 0] = 0.680144f;	val_dir[2564*3 + 1] = 0.093813f;	val_dir[2564*3 + 2] = 0.727051f;
 	val_dir[2565*3 + 0] = 0.713881f;	val_dir[2565*3 + 1] = 0.118980f;	val_dir[2565*3 + 2] = 0.690085f;
 	val_dir[2566*3 + 0] = 0.746176f;	val_dir[2566*3 + 1] = 0.144421f;	val_dir[2566*3 + 2] = 0.649895f;
 	val_dir[2567*3 + 0] = 0.776571f;	val_dir[2567*3 + 1] = 0.169875f;	val_dir[2567*3 + 2] = 0.606696f;
 	val_dir[2568*3 + 0] = 0.804639f;	val_dir[2568*3 + 1] = 0.195064f;	val_dir[2568*3 + 2] = 0.560809f;
 	val_dir[2569*3 + 0] = 0.830009f;	val_dir[2569*3 + 1] = 0.219708f;	val_dir[2569*3 + 2] = 0.512653f;
 	val_dir[2570*3 + 0] = 0.852392f;	val_dir[2570*3 + 1] = 0.243541f;	val_dir[2570*3 + 2] = 0.462727f;
 	val_dir[2571*3 + 0] = 0.871592f;	val_dir[2571*3 + 1] = 0.266320f;	val_dir[2571*3 + 2] = 0.411585f;
 	val_dir[2572*3 + 0] = 0.887517f;	val_dir[2572*3 + 1] = 0.287843f;	val_dir[2572*3 + 2] = 0.359804f;
 	val_dir[2573*3 + 0] = 0.900181f;	val_dir[2573*3 + 1] = 0.307957f;	val_dir[2573*3 + 2] = 0.307957f;
 	val_dir[2574*3 + 0] = 0.909687f;	val_dir[2574*3 + 1] = 0.326554f;	val_dir[2574*3 + 2] = 0.256578f;
 	val_dir[2575*3 + 0] = 0.916217f;	val_dir[2575*3 + 1] = 0.343582f;	val_dir[2575*3 + 2] = 0.206149f;
 	val_dir[2576*3 + 0] = 0.920014f;	val_dir[2576*3 + 1] = 0.359030f;	val_dir[2576*3 + 2] = 0.157075f;
 	val_dir[2577*3 + 0] = 0.921354f;	val_dir[2577*3 + 1] = 0.372929f;	val_dir[2577*3 + 2] = 0.109685f;
 	val_dir[2578*3 + 0] = 0.920537f;	val_dir[2578*3 + 1] = 0.385341f;	val_dir[2578*3 + 2] = 0.064223f;
 	val_dir[2579*3 + 0] = 0.917863f;	val_dir[2579*3 + 1] = 0.396350f;	val_dir[2579*3 + 2] = 0.020861f;
 	val_dir[2580*3 + 0] = -0.413803f;	val_dir[2580*3 + 1] = -0.910366f;	val_dir[2580*3 + 2] = 0.0f;
 	val_dir[2581*3 + 0] = -0.403799f;	val_dir[2581*3 + 1] = -0.913860f;	val_dir[2581*3 + 2] = 0.042505f;
 	val_dir[2582*3 + 0] = -0.392419f;	val_dir[2582*3 + 1] = -0.915644f;	val_dir[2582*3 + 2] = 0.087204f;
 	val_dir[2583*3 + 0] = -0.379563f;	val_dir[2583*3 + 1] = -0.915416f;	val_dir[2583*3 + 2] = 0.133963f;
 	val_dir[2584*3 + 0] = -0.365148f;	val_dir[2584*3 + 1] = -0.912871f;	val_dir[2584*3 + 2] = 0.182574f;
 	val_dir[2585*3 + 0] = -0.349121f;	val_dir[2585*3 + 1] = -0.907713f;	val_dir[2585*3 + 2] = 0.232747f;
 	val_dir[2586*3 + 0] = -0.331460f;	val_dir[2586*3 + 1] = -0.899676f;	val_dir[2586*3 + 2] = 0.284108f;
 	val_dir[2587*3 + 0] = -0.312190f;	val_dir[2587*3 + 1] = -0.888540f;	val_dir[2587*3 + 2] = 0.336204f;
 	val_dir[2588*3 + 0] = -0.291386f;	val_dir[2588*3 + 1] = -0.874157f;	val_dir[2588*3 + 2] = 0.388514f;
 	val_dir[2589*3 + 0] = -0.269175f;	val_dir[2589*3 + 1] = -0.856465f;	val_dir[2589*3 + 2] = 0.440468f;
 	val_dir[2590*3 + 0] = -0.245737f;	val_dir[2590*3 + 1] = -0.835504f;	val_dir[2590*3 + 2] = 0.491473f;
 	val_dir[2591*3 + 0] = -0.221297f;	val_dir[2591*3 + 1] = -0.811421f;	val_dir[2591*3 + 2] = 0.540947f;
 	val_dir[2592*3 + 0] = -0.196116f;	val_dir[2592*3 + 1] = -0.784465f;	val_dir[2592*3 + 2] = 0.588348f;
 	val_dir[2593*3 + 0] = -0.170478f;	val_dir[2593*3 + 1] = -0.754976f;	val_dir[2593*3 + 2] = 0.633205f;
 	val_dir[2594*3 + 0] = -0.144673f;	val_dir[2594*3 + 1] = -0.723364f;	val_dir[2594*3 + 2] = 0.675140f;
 	val_dir[2595*3 + 0] = -0.118980f;	val_dir[2595*3 + 1] = -0.690085f;	val_dir[2595*3 + 2] = 0.713881f;
 	val_dir[2596*3 + 0] = -0.093659f;	val_dir[2596*3 + 1] = -0.655610f;	val_dir[2596*3 + 2] = 0.749269f;
 	val_dir[2597*3 + 0] = -0.068934f;	val_dir[2597*3 + 1] = -0.620403f;	val_dir[2597*3 + 2] = 0.781248f;
 	val_dir[2598*3 + 0] = -0.044992f;	val_dir[2598*3 + 1] = -0.584898f;	val_dir[2598*3 + 2] = 0.809858f;
 	val_dir[2599*3 + 0] = -0.021979f;	val_dir[2599*3 + 1] = -0.549484f;	val_dir[2599*3 + 2] = 0.835215f;
 	val_dir[2600*3 + 0] = 0.0f;	val_dir[2600*3 + 1] = -0.514496f;	val_dir[2600*3 + 2] = 0.857493f;
 	val_dir[2601*3 + 0] = 0.021668f;	val_dir[2601*3 + 1] = -0.498354f;	val_dir[2601*3 + 2] = 0.866703f;
 	val_dir[2602*3 + 0] = 0.043769f;	val_dir[2602*3 + 1] = -0.481457f;	val_dir[2602*3 + 2] = 0.875376f;
 	val_dir[2603*3 + 0] = 0.066259f;	val_dir[2603*3 + 1] = -0.463812f;	val_dir[2603*3 + 2] = 0.883452f;
 	val_dir[2604*3 + 0] = 0.089087f;	val_dir[2604*3 + 1] = -0.445435f;	val_dir[2604*3 + 2] = 0.890871f;
 	val_dir[2605*3 + 0] = 0.112197f;	val_dir[2605*3 + 1] = -0.426348f;	val_dir[2605*3 + 2] = 0.897574f;
 	val_dir[2606*3 + 0] = 0.135526f;	val_dir[2606*3 + 1] = -0.406579f;	val_dir[2606*3 + 2] = 0.903508f;
 	val_dir[2607*3 + 0] = 0.159009f;	val_dir[2607*3 + 1] = -0.386164f;	val_dir[2607*3 + 2] = 0.908622f;
 	val_dir[2608*3 + 0] = 0.182574f;	val_dir[2608*3 + 1] = -0.365148f;	val_dir[2608*3 + 2] = 0.912871f;
 	val_dir[2609*3 + 0] = 0.206149f;	val_dir[2609*3 + 1] = -0.343582f;	val_dir[2609*3 + 2] = 0.916217f;
 	val_dir[2610*3 + 0] = 0.229658f;	val_dir[2610*3 + 1] = -0.321521f;	val_dir[2610*3 + 2] = 0.918630f;
 	val_dir[2611*3 + 0] = 0.253024f;	val_dir[2611*3 + 1] = -0.299028f;	val_dir[2611*3 + 2] = 0.920087f;
 	val_dir[2612*3 + 0] = 0.276172f;	val_dir[2612*3 + 1] = -0.276172f;	val_dir[2612*3 + 2] = 0.920575f;
 	val_dir[2613*3 + 0] = 0.299028f;	val_dir[2613*3 + 1] = -0.253024f;	val_dir[2613*3 + 2] = 0.920087f;
 	val_dir[2614*3 + 0] = 0.321521f;	val_dir[2614*3 + 1] = -0.229658f;	val_dir[2614*3 + 2] = 0.918630f;
 	val_dir[2615*3 + 0] = 0.343582f;	val_dir[2615*3 + 1] = -0.206149f;	val_dir[2615*3 + 2] = 0.916217f;
 	val_dir[2616*3 + 0] = 0.365148f;	val_dir[2616*3 + 1] = -0.182574f;	val_dir[2616*3 + 2] = 0.912871f;
 	val_dir[2617*3 + 0] = 0.386164f;	val_dir[2617*3 + 1] = -0.159009f;	val_dir[2617*3 + 2] = 0.908622f;
 	val_dir[2618*3 + 0] = 0.406579f;	val_dir[2618*3 + 1] = -0.135526f;	val_dir[2618*3 + 2] = 0.903508f;
 	val_dir[2619*3 + 0] = 0.426348f;	val_dir[2619*3 + 1] = -0.112197f;	val_dir[2619*3 + 2] = 0.897574f;
 	val_dir[2620*3 + 0] = 0.445435f;	val_dir[2620*3 + 1] = -0.089087f;	val_dir[2620*3 + 2] = 0.890871f;
 	val_dir[2621*3 + 0] = 0.463812f;	val_dir[2621*3 + 1] = -0.066259f;	val_dir[2621*3 + 2] = 0.883452f;
 	val_dir[2622*3 + 0] = 0.481457f;	val_dir[2622*3 + 1] = -0.043769f;	val_dir[2622*3 + 2] = 0.875376f;
 	val_dir[2623*3 + 0] = 0.498354f;	val_dir[2623*3 + 1] = -0.021668f;	val_dir[2623*3 + 2] = 0.866703f;
 	val_dir[2624*3 + 0] = 0.514496f;	val_dir[2624*3 + 1] = 0.0f;	val_dir[2624*3 + 2] = 0.857493f;
 	val_dir[2625*3 + 0] = 0.549484f;	val_dir[2625*3 + 1] = 0.021979f;	val_dir[2625*3 + 2] = 0.835215f;
 	val_dir[2626*3 + 0] = 0.584898f;	val_dir[2626*3 + 1] = 0.044992f;	val_dir[2626*3 + 2] = 0.809858f;
 	val_dir[2627*3 + 0] = 0.620403f;	val_dir[2627*3 + 1] = 0.068934f;	val_dir[2627*3 + 2] = 0.781248f;
 	val_dir[2628*3 + 0] = 0.655610f;	val_dir[2628*3 + 1] = 0.093659f;	val_dir[2628*3 + 2] = 0.749269f;
 	val_dir[2629*3 + 0] = 0.690085f;	val_dir[2629*3 + 1] = 0.118980f;	val_dir[2629*3 + 2] = 0.713881f;
 	val_dir[2630*3 + 0] = 0.723364f;	val_dir[2630*3 + 1] = 0.144673f;	val_dir[2630*3 + 2] = 0.675140f;
 	val_dir[2631*3 + 0] = 0.754976f;	val_dir[2631*3 + 1] = 0.170478f;	val_dir[2631*3 + 2] = 0.633205f;
 	val_dir[2632*3 + 0] = 0.784465f;	val_dir[2632*3 + 1] = 0.196116f;	val_dir[2632*3 + 2] = 0.588348f;
 	val_dir[2633*3 + 0] = 0.811421f;	val_dir[2633*3 + 1] = 0.221297f;	val_dir[2633*3 + 2] = 0.540947f;
 	val_dir[2634*3 + 0] = 0.835504f;	val_dir[2634*3 + 1] = 0.245737f;	val_dir[2634*3 + 2] = 0.491473f;
 	val_dir[2635*3 + 0] = 0.856465f;	val_dir[2635*3 + 1] = 0.269175f;	val_dir[2635*3 + 2] = 0.440468f;
 	val_dir[2636*3 + 0] = 0.874157f;	val_dir[2636*3 + 1] = 0.291386f;	val_dir[2636*3 + 2] = 0.388514f;
 	val_dir[2637*3 + 0] = 0.888540f;	val_dir[2637*3 + 1] = 0.312190f;	val_dir[2637*3 + 2] = 0.336204f;
 	val_dir[2638*3 + 0] = 0.899676f;	val_dir[2638*3 + 1] = 0.331460f;	val_dir[2638*3 + 2] = 0.284108f;
 	val_dir[2639*3 + 0] = 0.907713f;	val_dir[2639*3 + 1] = 0.349121f;	val_dir[2639*3 + 2] = 0.232747f;
 	val_dir[2640*3 + 0] = 0.912871f;	val_dir[2640*3 + 1] = 0.365148f;	val_dir[2640*3 + 2] = 0.182574f;
 	val_dir[2641*3 + 0] = 0.915416f;	val_dir[2641*3 + 1] = 0.379563f;	val_dir[2641*3 + 2] = 0.133963f;
 	val_dir[2642*3 + 0] = 0.915644f;	val_dir[2642*3 + 1] = 0.392419f;	val_dir[2642*3 + 2] = 0.087204f;
 	val_dir[2643*3 + 0] = 0.913860f;	val_dir[2643*3 + 1] = 0.403799f;	val_dir[2643*3 + 2] = 0.042505f;
 	val_dir[2644*3 + 0] = 0.910366f;	val_dir[2644*3 + 1] = 0.413803f;	val_dir[2644*3 + 2] = 0.0f;
 	val_dir[2645*3 + 0] = -0.421637f;	val_dir[2645*3 + 1] = -0.906520f;	val_dir[2645*3 + 2] = 0.021082f;
 	val_dir[2646*3 + 0] = -0.411298f;	val_dir[2646*3 + 1] = -0.909185f;	val_dir[2646*3 + 2] = 0.064942f;
 	val_dir[2647*3 + 0] = -0.399507f;	val_dir[2647*3 + 1] = -0.909988f;	val_dir[2647*3 + 2] = 0.110974f;
 	val_dir[2648*3 + 0] = -0.386164f;	val_dir[2648*3 + 1] = -0.908622f;	val_dir[2648*3 + 2] = 0.159009f;
 	val_dir[2649*3 + 0] = -0.371191f;	val_dir[2649*3 + 1] = -0.904777f;	val_dir[2649*3 + 2] = 0.208795f;
 	val_dir[2650*3 + 0] = -0.354540f;	val_dir[2650*3 + 1] = -0.898167f;	val_dir[2650*3 + 2] = 0.259996f;
 	val_dir[2651*3 + 0] = -0.336204f;	val_dir[2651*3 + 1] = -0.888540f;	val_dir[2651*3 + 2] = 0.312190f;
 	val_dir[2652*3 + 0] = -0.316228f;	val_dir[2652*3 + 1] = -0.875708f;	val_dir[2652*3 + 2] = 0.364878f;
 	val_dir[2653*3 + 0] = -0.294706f;	val_dir[2653*3 + 1] = -0.859559f;	val_dir[2653*3 + 2] = 0.41750f;
 	val_dir[2654*3 + 0] = -0.271791f;	val_dir[2654*3 + 1] = -0.840083f;	val_dir[2654*3 + 2] = 0.469458f;
 	val_dir[2655*3 + 0] = -0.247689f;	val_dir[2655*3 + 1] = -0.817373f;	val_dir[2655*3 + 2] = 0.520146f;
 	val_dir[2656*3 + 0] = -0.222647f;	val_dir[2656*3 + 1] = -0.791633f;	val_dir[2656*3 + 2] = 0.568986f;
 	val_dir[2657*3 + 0] = -0.196946f;	val_dir[2657*3 + 1] = -0.763167f;	val_dir[2657*3 + 2] = 0.615457f;
 	val_dir[2658*3 + 0] = -0.170884f;	val_dir[2658*3 + 1] = -0.732361f;	val_dir[2658*3 + 2] = 0.659125f;
 	val_dir[2659*3 + 0] = -0.144757f;	val_dir[2659*3 + 1] = -0.699659f;	val_dir[2659*3 + 2] = 0.699659f;
 	val_dir[2660*3 + 0] = -0.118846f;	val_dir[2660*3 + 1] = -0.665536f;	val_dir[2660*3 + 2] = 0.736843f;
 	val_dir[2661*3 + 0] = -0.093403f;	val_dir[2661*3 + 1] = -0.630470f;	val_dir[2661*3 + 2] = 0.770574f;
 	val_dir[2662*3 + 0] = -0.068644f;	val_dir[2662*3 + 1] = -0.594917f;	val_dir[2662*3 + 2] = 0.800850f;
 	val_dir[2663*3 + 0] = -0.044744f;	val_dir[2663*3 + 1] = -0.559297f;	val_dir[2663*3 + 2] = 0.827759f;
 	val_dir[2664*3 + 0] = -0.021832f;	val_dir[2664*3 + 1] = -0.523973f;	val_dir[2664*3 + 2] = 0.851455f;
 	val_dir[2665*3 + 0] = 0.0f;	val_dir[2665*3 + 1] = -0.489251f;	val_dir[2665*3 + 2] = 0.872143f;
 	val_dir[2666*3 + 0] = 0.021487f;	val_dir[2666*3 + 1] = -0.472709f;	val_dir[2666*3 + 2] = 0.880957f;
 	val_dir[2667*3 + 0] = 0.043376f;	val_dir[2667*3 + 1] = -0.455447f;	val_dir[2667*3 + 2] = 0.889206f;
 	val_dir[2668*3 + 0] = 0.065622f;	val_dir[2668*3 + 1] = -0.437479f;	val_dir[2668*3 + 2] = 0.896831f;
 	val_dir[2669*3 + 0] = 0.088173f;	val_dir[2669*3 + 1] = -0.418823f;	val_dir[2669*3 + 2] = 0.903777f;
 	val_dir[2670*3 + 0] = 0.110974f;	val_dir[2670*3 + 1] = -0.399507f;	val_dir[2670*3 + 2] = 0.909988f;
 	val_dir[2671*3 + 0] = 0.133963f;	val_dir[2671*3 + 1] = -0.379563f;	val_dir[2671*3 + 2] = 0.915416f;
 	val_dir[2672*3 + 0] = 0.157075f;	val_dir[2672*3 + 1] = -0.359030f;	val_dir[2672*3 + 2] = 0.920014f;
 	val_dir[2673*3 + 0] = 0.180242f;	val_dir[2673*3 + 1] = -0.337954f;	val_dir[2673*3 + 2] = 0.923742f;
 	val_dir[2674*3 + 0] = 0.203393f;	val_dir[2674*3 + 1] = -0.316389f;	val_dir[2674*3 + 2] = 0.926568f;
 	val_dir[2675*3 + 0] = 0.226455f;	val_dir[2675*3 + 1] = -0.294392f;	val_dir[2675*3 + 2] = 0.928467f;
 	val_dir[2676*3 + 0] = 0.249357f;	val_dir[2676*3 + 1] = -0.272026f;	val_dir[2676*3 + 2] = 0.929421f;
 	val_dir[2677*3 + 0] = 0.272026f;	val_dir[2677*3 + 1] = -0.249357f;	val_dir[2677*3 + 2] = 0.929421f;
 	val_dir[2678*3 + 0] = 0.294392f;	val_dir[2678*3 + 1] = -0.226455f;	val_dir[2678*3 + 2] = 0.928467f;
 	val_dir[2679*3 + 0] = 0.316389f;	val_dir[2679*3 + 1] = -0.203393f;	val_dir[2679*3 + 2] = 0.926568f;
 	val_dir[2680*3 + 0] = 0.337954f;	val_dir[2680*3 + 1] = -0.180242f;	val_dir[2680*3 + 2] = 0.923742f;
 	val_dir[2681*3 + 0] = 0.359030f;	val_dir[2681*3 + 1] = -0.157075f;	val_dir[2681*3 + 2] = 0.920014f;
 	val_dir[2682*3 + 0] = 0.379563f;	val_dir[2682*3 + 1] = -0.133963f;	val_dir[2682*3 + 2] = 0.915416f;
 	val_dir[2683*3 + 0] = 0.399507f;	val_dir[2683*3 + 1] = -0.110974f;	val_dir[2683*3 + 2] = 0.909988f;
 	val_dir[2684*3 + 0] = 0.418823f;	val_dir[2684*3 + 1] = -0.088173f;	val_dir[2684*3 + 2] = 0.903777f;
 	val_dir[2685*3 + 0] = 0.437479f;	val_dir[2685*3 + 1] = -0.065622f;	val_dir[2685*3 + 2] = 0.896831f;
 	val_dir[2686*3 + 0] = 0.455447f;	val_dir[2686*3 + 1] = -0.043376f;	val_dir[2686*3 + 2] = 0.889206f;
 	val_dir[2687*3 + 0] = 0.472709f;	val_dir[2687*3 + 1] = -0.021487f;	val_dir[2687*3 + 2] = 0.880957f;
 	val_dir[2688*3 + 0] = 0.489251f;	val_dir[2688*3 + 1] = 0.0f;	val_dir[2688*3 + 2] = 0.872143f;
 	val_dir[2689*3 + 0] = 0.523973f;	val_dir[2689*3 + 1] = 0.021832f;	val_dir[2689*3 + 2] = 0.851455f;
 	val_dir[2690*3 + 0] = 0.559297f;	val_dir[2690*3 + 1] = 0.044744f;	val_dir[2690*3 + 2] = 0.827759f;
 	val_dir[2691*3 + 0] = 0.594917f;	val_dir[2691*3 + 1] = 0.068644f;	val_dir[2691*3 + 2] = 0.800850f;
 	val_dir[2692*3 + 0] = 0.630470f;	val_dir[2692*3 + 1] = 0.093403f;	val_dir[2692*3 + 2] = 0.770574f;
 	val_dir[2693*3 + 0] = 0.665536f;	val_dir[2693*3 + 1] = 0.118846f;	val_dir[2693*3 + 2] = 0.736843f;
 	val_dir[2694*3 + 0] = 0.699659f;	val_dir[2694*3 + 1] = 0.144757f;	val_dir[2694*3 + 2] = 0.699659f;
 	val_dir[2695*3 + 0] = 0.732361f;	val_dir[2695*3 + 1] = 0.170884f;	val_dir[2695*3 + 2] = 0.659125f;
 	val_dir[2696*3 + 0] = 0.763167f;	val_dir[2696*3 + 1] = 0.196946f;	val_dir[2696*3 + 2] = 0.615457f;
 	val_dir[2697*3 + 0] = 0.791633f;	val_dir[2697*3 + 1] = 0.222647f;	val_dir[2697*3 + 2] = 0.568986f;
 	val_dir[2698*3 + 0] = 0.817373f;	val_dir[2698*3 + 1] = 0.247689f;	val_dir[2698*3 + 2] = 0.520146f;
 	val_dir[2699*3 + 0] = 0.840083f;	val_dir[2699*3 + 1] = 0.271791f;	val_dir[2699*3 + 2] = 0.469458f;
 	val_dir[2700*3 + 0] = 0.859559f;	val_dir[2700*3 + 1] = 0.294706f;	val_dir[2700*3 + 2] = 0.41750f;
 	val_dir[2701*3 + 0] = 0.875708f;	val_dir[2701*3 + 1] = 0.316228f;	val_dir[2701*3 + 2] = 0.364878f;
 	val_dir[2702*3 + 0] = 0.888540f;	val_dir[2702*3 + 1] = 0.336204f;	val_dir[2702*3 + 2] = 0.312190f;
 	val_dir[2703*3 + 0] = 0.898167f;	val_dir[2703*3 + 1] = 0.354540f;	val_dir[2703*3 + 2] = 0.259996f;
 	val_dir[2704*3 + 0] = 0.904777f;	val_dir[2704*3 + 1] = 0.371191f;	val_dir[2704*3 + 2] = 0.208795f;
 	val_dir[2705*3 + 0] = 0.908622f;	val_dir[2705*3 + 1] = 0.386164f;	val_dir[2705*3 + 2] = 0.159009f;
 	val_dir[2706*3 + 0] = 0.909988f;	val_dir[2706*3 + 1] = 0.399507f;	val_dir[2706*3 + 2] = 0.110974f;
 	val_dir[2707*3 + 0] = 0.909185f;	val_dir[2707*3 + 1] = 0.411298f;	val_dir[2707*3 + 2] = 0.064942f;
 	val_dir[2708*3 + 0] = 0.906520f;	val_dir[2708*3 + 1] = 0.421637f;	val_dir[2708*3 + 2] = 0.021082f;
 	val_dir[2709*3 + 0] = -0.438835f;	val_dir[2709*3 + 1] = -0.898567f;	val_dir[2709*3 + 2] = 0.0f;
 	val_dir[2710*3 + 0] = -0.429537f;	val_dir[2710*3 + 1] = -0.902027f;	val_dir[2710*3 + 2] = 0.042954f;
 	val_dir[2711*3 + 0] = -0.418823f;	val_dir[2711*3 + 1] = -0.903777f;	val_dir[2711*3 + 2] = 0.088173f;
 	val_dir[2712*3 + 0] = -0.406579f;	val_dir[2712*3 + 1] = -0.903508f;	val_dir[2712*3 + 2] = 0.135526f;
 	val_dir[2713*3 + 0] = -0.392703f;	val_dir[2713*3 + 1] = -0.900907f;	val_dir[2713*3 + 2] = 0.184801f;
 	val_dir[2714*3 + 0] = -0.377124f;	val_dir[2714*3 + 1] = -0.895669f;	val_dir[2714*3 + 2] = 0.235702f;
 	val_dir[2715*3 + 0] = -0.359804f;	val_dir[2715*3 + 1] = -0.887517f;	val_dir[2715*3 + 2] = 0.287843f;
 	val_dir[2716*3 + 0] = -0.340755f;	val_dir[2716*3 + 1] = -0.876226f;	val_dir[2716*3 + 2] = 0.340755f;
 	val_dir[2717*3 + 0] = -0.320038f;	val_dir[2717*3 + 1] = -0.861640f;	val_dir[2717*3 + 2] = 0.393893f;
 	val_dir[2718*3 + 0] = -0.297775f;	val_dir[2718*3 + 1] = -0.843696f;	val_dir[2718*3 + 2] = 0.446662f;
 	val_dir[2719*3 + 0] = -0.274145f;	val_dir[2719*3 + 1] = -0.822434f;	val_dir[2719*3 + 2] = 0.498445f;
 	val_dir[2720*3 + 0] = -0.249377f;	val_dir[2720*3 + 1] = -0.798007f;	val_dir[2720*3 + 2] = 0.548630f;
 	val_dir[2721*3 + 0] = -0.223745f;	val_dir[2721*3 + 1] = -0.770677f;	val_dir[2721*3 + 2] = 0.596653f;
 	val_dir[2722*3 + 0] = -0.197546f;	val_dir[2722*3 + 1] = -0.740797f;	val_dir[2722*3 + 2] = 0.642024f;
 	val_dir[2723*3 + 0] = -0.171088f;	val_dir[2723*3 + 1] = -0.708794f;	val_dir[2723*3 + 2] = 0.684353f;
 	val_dir[2724*3 + 0] = -0.144673f;	val_dir[2724*3 + 1] = -0.675140f;	val_dir[2724*3 + 2] = 0.723364f;
 	val_dir[2725*3 + 0] = -0.118578f;	val_dir[2725*3 + 1] = -0.640321f;	val_dir[2725*3 + 2] = 0.758899f;
 	val_dir[2726*3 + 0] = -0.093048f;	val_dir[2726*3 + 1] = -0.604815f;	val_dir[2726*3 + 2] = 0.790912f;
 	val_dir[2727*3 + 0] = -0.068288f;	val_dir[2727*3 + 1] = -0.569064f;	val_dir[2727*3 + 2] = 0.819453f;
 	val_dir[2728*3 + 0] = -0.044455f;	val_dir[2728*3 + 1] = -0.533465f;	val_dir[2728*3 + 2] = 0.844653f;
 	val_dir[2729*3 + 0] = -0.021668f;	val_dir[2729*3 + 1] = -0.498354f;	val_dir[2729*3 + 2] = 0.866703f;
 	val_dir[2730*3 + 0] = 0.0f;	val_dir[2730*3 + 1] = -0.464007f;	val_dir[2730*3 + 2] = 0.885832f;
 	val_dir[2731*3 + 0] = 0.021291f;	val_dir[2731*3 + 1] = -0.447112f;	val_dir[2731*3 + 2] = 0.894224f;
 	val_dir[2732*3 + 0] = 0.042954f;	val_dir[2732*3 + 1] = -0.429537f;	val_dir[2732*3 + 2] = 0.902027f;
 	val_dir[2733*3 + 0] = 0.064942f;	val_dir[2733*3 + 1] = -0.411298f;	val_dir[2733*3 + 2] = 0.909185f;
 	val_dir[2734*3 + 0] = 0.087204f;	val_dir[2734*3 + 1] = -0.392419f;	val_dir[2734*3 + 2] = 0.915644f;
 	val_dir[2735*3 + 0] = 0.109685f;	val_dir[2735*3 + 1] = -0.372929f;	val_dir[2735*3 + 2] = 0.921354f;
 	val_dir[2736*3 + 0] = 0.132324f;	val_dir[2736*3 + 1] = -0.352865f;	val_dir[2736*3 + 2] = 0.926270f;
 	val_dir[2737*3 + 0] = 0.155059f;	val_dir[2737*3 + 1] = -0.332269f;	val_dir[2737*3 + 2] = 0.930352f;
 	val_dir[2738*3 + 0] = 0.177822f;	val_dir[2738*3 + 1] = -0.311188f;	val_dir[2738*3 + 2] = 0.933564f;
 	val_dir[2739*3 + 0] = 0.200545f;	val_dir[2739*3 + 1] = -0.289677f;	val_dir[2739*3 + 2] = 0.935879f;
 	val_dir[2740*3 + 0] = 0.223161f;	val_dir[2740*3 + 1] = -0.267793f;	val_dir[2740*3 + 2] = 0.937276f;
 	val_dir[2741*3 + 0] = 0.245599f;	val_dir[2741*3 + 1] = -0.245599f;	val_dir[2741*3 + 2] = 0.937743f;
 	val_dir[2742*3 + 0] = 0.267793f;	val_dir[2742*3 + 1] = -0.223161f;	val_dir[2742*3 + 2] = 0.937276f;
 	val_dir[2743*3 + 0] = 0.289677f;	val_dir[2743*3 + 1] = -0.200545f;	val_dir[2743*3 + 2] = 0.935879f;
 	val_dir[2744*3 + 0] = 0.311188f;	val_dir[2744*3 + 1] = -0.177822f;	val_dir[2744*3 + 2] = 0.933564f;
 	val_dir[2745*3 + 0] = 0.332269f;	val_dir[2745*3 + 1] = -0.155059f;	val_dir[2745*3 + 2] = 0.930352f;
 	val_dir[2746*3 + 0] = 0.352865f;	val_dir[2746*3 + 1] = -0.132324f;	val_dir[2746*3 + 2] = 0.926270f;
 	val_dir[2747*3 + 0] = 0.372929f;	val_dir[2747*3 + 1] = -0.109685f;	val_dir[2747*3 + 2] = 0.921354f;
 	val_dir[2748*3 + 0] = 0.392419f;	val_dir[2748*3 + 1] = -0.087204f;	val_dir[2748*3 + 2] = 0.915644f;
 	val_dir[2749*3 + 0] = 0.411298f;	val_dir[2749*3 + 1] = -0.064942f;	val_dir[2749*3 + 2] = 0.909185f;
 	val_dir[2750*3 + 0] = 0.429537f;	val_dir[2750*3 + 1] = -0.042954f;	val_dir[2750*3 + 2] = 0.902027f;
 	val_dir[2751*3 + 0] = 0.447112f;	val_dir[2751*3 + 1] = -0.021291f;	val_dir[2751*3 + 2] = 0.894224f;
 	val_dir[2752*3 + 0] = 0.464007f;	val_dir[2752*3 + 1] = 0.0f;	val_dir[2752*3 + 2] = 0.885832f;
 	val_dir[2753*3 + 0] = 0.498354f;	val_dir[2753*3 + 1] = 0.021668f;	val_dir[2753*3 + 2] = 0.866703f;
 	val_dir[2754*3 + 0] = 0.533465f;	val_dir[2754*3 + 1] = 0.044455f;	val_dir[2754*3 + 2] = 0.844653f;
 	val_dir[2755*3 + 0] = 0.569064f;	val_dir[2755*3 + 1] = 0.068288f;	val_dir[2755*3 + 2] = 0.819453f;
 	val_dir[2756*3 + 0] = 0.604815f;	val_dir[2756*3 + 1] = 0.093048f;	val_dir[2756*3 + 2] = 0.790912f;
 	val_dir[2757*3 + 0] = 0.640321f;	val_dir[2757*3 + 1] = 0.118578f;	val_dir[2757*3 + 2] = 0.758899f;
 	val_dir[2758*3 + 0] = 0.675140f;	val_dir[2758*3 + 1] = 0.144673f;	val_dir[2758*3 + 2] = 0.723364f;
 	val_dir[2759*3 + 0] = 0.708794f;	val_dir[2759*3 + 1] = 0.171088f;	val_dir[2759*3 + 2] = 0.684353f;
 	val_dir[2760*3 + 0] = 0.740797f;	val_dir[2760*3 + 1] = 0.197546f;	val_dir[2760*3 + 2] = 0.642024f;
 	val_dir[2761*3 + 0] = 0.770677f;	val_dir[2761*3 + 1] = 0.223745f;	val_dir[2761*3 + 2] = 0.596653f;
 	val_dir[2762*3 + 0] = 0.798007f;	val_dir[2762*3 + 1] = 0.249377f;	val_dir[2762*3 + 2] = 0.548630f;
 	val_dir[2763*3 + 0] = 0.822434f;	val_dir[2763*3 + 1] = 0.274145f;	val_dir[2763*3 + 2] = 0.498445f;
 	val_dir[2764*3 + 0] = 0.843696f;	val_dir[2764*3 + 1] = 0.297775f;	val_dir[2764*3 + 2] = 0.446662f;
 	val_dir[2765*3 + 0] = 0.861640f;	val_dir[2765*3 + 1] = 0.320038f;	val_dir[2765*3 + 2] = 0.393893f;
 	val_dir[2766*3 + 0] = 0.876226f;	val_dir[2766*3 + 1] = 0.340755f;	val_dir[2766*3 + 2] = 0.340755f;
 	val_dir[2767*3 + 0] = 0.887517f;	val_dir[2767*3 + 1] = 0.359804f;	val_dir[2767*3 + 2] = 0.287843f;
 	val_dir[2768*3 + 0] = 0.895669f;	val_dir[2768*3 + 1] = 0.377124f;	val_dir[2768*3 + 2] = 0.235702f;
 	val_dir[2769*3 + 0] = 0.900907f;	val_dir[2769*3 + 1] = 0.392703f;	val_dir[2769*3 + 2] = 0.184801f;
 	val_dir[2770*3 + 0] = 0.903508f;	val_dir[2770*3 + 1] = 0.406579f;	val_dir[2770*3 + 2] = 0.135526f;
 	val_dir[2771*3 + 0] = 0.903777f;	val_dir[2771*3 + 1] = 0.418823f;	val_dir[2771*3 + 2] = 0.088173f;
 	val_dir[2772*3 + 0] = 0.902027f;	val_dir[2772*3 + 1] = 0.429537f;	val_dir[2772*3 + 2] = 0.042954f;
 	val_dir[2773*3 + 0] = 0.898567f;	val_dir[2773*3 + 1] = 0.438835f;	val_dir[2773*3 + 2] = 0.0f;
 	val_dir[2774*3 + 0] = -0.447112f;	val_dir[2774*3 + 1] = -0.894224f;	val_dir[2774*3 + 2] = 0.021291f;
 	val_dir[2775*3 + 0] = -0.437479f;	val_dir[2775*3 + 1] = -0.896831f;	val_dir[2775*3 + 2] = 0.065622f;
 	val_dir[2776*3 + 0] = -0.426348f;	val_dir[2776*3 + 1] = -0.897574f;	val_dir[2776*3 + 2] = 0.112197f;
 	val_dir[2777*3 + 0] = -0.413602f;	val_dir[2777*3 + 1] = -0.896137f;	val_dir[2777*3 + 2] = 0.160845f;
 	val_dir[2778*3 + 0] = -0.399145f;	val_dir[2778*3 + 1] = -0.892206f;	val_dir[2778*3 + 2] = 0.211312f;
 	val_dir[2779*3 + 0] = -0.382911f;	val_dir[2779*3 + 1] = -0.885482f;	val_dir[2779*3 + 2] = 0.263251f;
 	val_dir[2780*3 + 0] = -0.364878f;	val_dir[2780*3 + 1] = -0.875708f;	val_dir[2780*3 + 2] = 0.316228f;
 	val_dir[2781*3 + 0] = -0.345075f;	val_dir[2781*3 + 1] = -0.862687f;	val_dir[2781*3 + 2] = 0.369723f;
 	val_dir[2782*3 + 0] = -0.323587f;	val_dir[2782*3 + 1] = -0.846305f;	val_dir[2782*3 + 2] = 0.423153f;
 	val_dir[2783*3 + 0] = -0.300564f;	val_dir[2783*3 + 1] = -0.826551f;	val_dir[2783*3 + 2] = 0.475893f;
 	val_dir[2784*3 + 0] = -0.276211f;	val_dir[2784*3 + 1] = -0.803523f;	val_dir[2784*3 + 2] = 0.527312f;
 	val_dir[2785*3 + 0] = -0.250785f;	val_dir[2785*3 + 1] = -0.777433f;	val_dir[2785*3 + 2] = 0.576805f;
 	val_dir[2786*3 + 0] = -0.224579f;	val_dir[2786*3 + 1] = -0.748598f;	val_dir[2786*3 + 2] = 0.623831f;
 	val_dir[2787*3 + 0] = -0.197908f;	val_dir[2787*3 + 1] = -0.717418f;	val_dir[2787*3 + 2] = 0.667940f;
 	val_dir[2788*3 + 0] = -0.171088f;	val_dir[2788*3 + 1] = -0.684353f;	val_dir[2788*3 + 2] = 0.708794f;
 	val_dir[2789*3 + 0] = -0.144421f;	val_dir[2789*3 + 1] = -0.649895f;	val_dir[2789*3 + 2] = 0.746176f;
 	val_dir[2790*3 + 0] = -0.118180f;	val_dir[2790*3 + 1] = -0.614535f;	val_dir[2790*3 + 2] = 0.779987f;
 	val_dir[2791*3 + 0] = -0.092599f;	val_dir[2791*3 + 1] = -0.578741f;	val_dir[2791*3 + 2] = 0.810237f;
 	val_dir[2792*3 + 0] = -0.067867f;	val_dir[2792*3 + 1] = -0.542936f;	val_dir[2792*3 + 2] = 0.837027f;
 	val_dir[2793*3 + 0] = -0.044130f;	val_dir[2793*3 + 1] = -0.507490f;	val_dir[2793*3 + 2] = 0.860527f;
 	val_dir[2794*3 + 0] = -0.021487f;	val_dir[2794*3 + 1] = -0.472709f;	val_dir[2794*3 + 2] = 0.880957f;
 	val_dir[2795*3 + 0] = 0.0f;	val_dir[2795*3 + 1] = -0.438835f;	val_dir[2795*3 + 2] = 0.898567f;
 	val_dir[2796*3 + 0] = 0.021082f;	val_dir[2796*3 + 1] = -0.421637f;	val_dir[2796*3 + 2] = 0.906520f;
 	val_dir[2797*3 + 0] = 0.042505f;	val_dir[2797*3 + 1] = -0.403799f;	val_dir[2797*3 + 2] = 0.913860f;
 	val_dir[2798*3 + 0] = 0.064223f;	val_dir[2798*3 + 1] = -0.385341f;	val_dir[2798*3 + 2] = 0.920537f;
 	val_dir[2799*3 + 0] = 0.086186f;	val_dir[2799*3 + 1] = -0.366291f;	val_dir[2799*3 + 2] = 0.92650f;
 	val_dir[2800*3 + 0] = 0.108338f;	val_dir[2800*3 + 1] = -0.346681f;	val_dir[2800*3 + 2] = 0.931705f;
 	val_dir[2801*3 + 0] = 0.130620f;	val_dir[2801*3 + 1] = -0.326550f;	val_dir[2801*3 + 2] = 0.936111f;
 	val_dir[2802*3 + 0] = 0.152971f;	val_dir[2802*3 + 1] = -0.305942f;	val_dir[2802*3 + 2] = 0.939680f;
 	val_dir[2803*3 + 0] = 0.175327f;	val_dir[2803*3 + 1] = -0.284907f;	val_dir[2803*3 + 2] = 0.942384f;
 	val_dir[2804*3 + 0] = 0.197623f;	val_dir[2804*3 + 1] = -0.263498f;	val_dir[2804*3 + 2] = 0.94420f;
 	val_dir[2805*3 + 0] = 0.219793f;	val_dir[2805*3 + 1] = -0.241773f;	val_dir[2805*3 + 2] = 0.945112f;
 	val_dir[2806*3 + 0] = 0.241773f;	val_dir[2806*3 + 1] = -0.219793f;	val_dir[2806*3 + 2] = 0.945112f;
 	val_dir[2807*3 + 0] = 0.263498f;	val_dir[2807*3 + 1] = -0.197623f;	val_dir[2807*3 + 2] = 0.94420f;
 	val_dir[2808*3 + 0] = 0.284907f;	val_dir[2808*3 + 1] = -0.175327f;	val_dir[2808*3 + 2] = 0.942384f;
 	val_dir[2809*3 + 0] = 0.305942f;	val_dir[2809*3 + 1] = -0.152971f;	val_dir[2809*3 + 2] = 0.939680f;
 	val_dir[2810*3 + 0] = 0.326550f;	val_dir[2810*3 + 1] = -0.130620f;	val_dir[2810*3 + 2] = 0.936111f;
 	val_dir[2811*3 + 0] = 0.346681f;	val_dir[2811*3 + 1] = -0.108338f;	val_dir[2811*3 + 2] = 0.931705f;
 	val_dir[2812*3 + 0] = 0.366291f;	val_dir[2812*3 + 1] = -0.086186f;	val_dir[2812*3 + 2] = 0.92650f;
 	val_dir[2813*3 + 0] = 0.385341f;	val_dir[2813*3 + 1] = -0.064223f;	val_dir[2813*3 + 2] = 0.920537f;
 	val_dir[2814*3 + 0] = 0.403799f;	val_dir[2814*3 + 1] = -0.042505f;	val_dir[2814*3 + 2] = 0.913860f;
 	val_dir[2815*3 + 0] = 0.421637f;	val_dir[2815*3 + 1] = -0.021082f;	val_dir[2815*3 + 2] = 0.906520f;
 	val_dir[2816*3 + 0] = 0.438835f;	val_dir[2816*3 + 1] = 0.0f;	val_dir[2816*3 + 2] = 0.898567f;
 	val_dir[2817*3 + 0] = 0.472709f;	val_dir[2817*3 + 1] = 0.021487f;	val_dir[2817*3 + 2] = 0.880957f;
 	val_dir[2818*3 + 0] = 0.507490f;	val_dir[2818*3 + 1] = 0.044130f;	val_dir[2818*3 + 2] = 0.860527f;
 	val_dir[2819*3 + 0] = 0.542936f;	val_dir[2819*3 + 1] = 0.067867f;	val_dir[2819*3 + 2] = 0.837027f;
 	val_dir[2820*3 + 0] = 0.578741f;	val_dir[2820*3 + 1] = 0.092599f;	val_dir[2820*3 + 2] = 0.810237f;
 	val_dir[2821*3 + 0] = 0.614535f;	val_dir[2821*3 + 1] = 0.118180f;	val_dir[2821*3 + 2] = 0.779987f;
 	val_dir[2822*3 + 0] = 0.649895f;	val_dir[2822*3 + 1] = 0.144421f;	val_dir[2822*3 + 2] = 0.746176f;
 	val_dir[2823*3 + 0] = 0.684353f;	val_dir[2823*3 + 1] = 0.171088f;	val_dir[2823*3 + 2] = 0.708794f;
 	val_dir[2824*3 + 0] = 0.717418f;	val_dir[2824*3 + 1] = 0.197908f;	val_dir[2824*3 + 2] = 0.667940f;
 	val_dir[2825*3 + 0] = 0.748598f;	val_dir[2825*3 + 1] = 0.224579f;	val_dir[2825*3 + 2] = 0.623831f;
 	val_dir[2826*3 + 0] = 0.777433f;	val_dir[2826*3 + 1] = 0.250785f;	val_dir[2826*3 + 2] = 0.576805f;
 	val_dir[2827*3 + 0] = 0.803523f;	val_dir[2827*3 + 1] = 0.276211f;	val_dir[2827*3 + 2] = 0.527312f;
 	val_dir[2828*3 + 0] = 0.826551f;	val_dir[2828*3 + 1] = 0.300564f;	val_dir[2828*3 + 2] = 0.475893f;
 	val_dir[2829*3 + 0] = 0.846305f;	val_dir[2829*3 + 1] = 0.323587f;	val_dir[2829*3 + 2] = 0.423153f;
 	val_dir[2830*3 + 0] = 0.862687f;	val_dir[2830*3 + 1] = 0.345075f;	val_dir[2830*3 + 2] = 0.369723f;
 	val_dir[2831*3 + 0] = 0.875708f;	val_dir[2831*3 + 1] = 0.364878f;	val_dir[2831*3 + 2] = 0.316228f;
 	val_dir[2832*3 + 0] = 0.885482f;	val_dir[2832*3 + 1] = 0.382911f;	val_dir[2832*3 + 2] = 0.263251f;
 	val_dir[2833*3 + 0] = 0.892206f;	val_dir[2833*3 + 1] = 0.399145f;	val_dir[2833*3 + 2] = 0.211312f;
 	val_dir[2834*3 + 0] = 0.896137f;	val_dir[2834*3 + 1] = 0.413602f;	val_dir[2834*3 + 2] = 0.160845f;
 	val_dir[2835*3 + 0] = 0.897574f;	val_dir[2835*3 + 1] = 0.426348f;	val_dir[2835*3 + 2] = 0.112197f;
 	val_dir[2836*3 + 0] = 0.896831f;	val_dir[2836*3 + 1] = 0.437479f;	val_dir[2836*3 + 2] = 0.065622f;
 	val_dir[2837*3 + 0] = 0.894224f;	val_dir[2837*3 + 1] = 0.447112f;	val_dir[2837*3 + 2] = 0.021291f;
 	val_dir[2838*3 + 0] = -0.464007f;	val_dir[2838*3 + 1] = -0.885832f;	val_dir[2838*3 + 2] = 0.0f;
 	val_dir[2839*3 + 0] = -0.455447f;	val_dir[2839*3 + 1] = -0.889206f;	val_dir[2839*3 + 2] = 0.043376f;
 	val_dir[2840*3 + 0] = -0.445435f;	val_dir[2840*3 + 1] = -0.890871f;	val_dir[2840*3 + 2] = 0.089087f;
 	val_dir[2841*3 + 0] = -0.433840f;	val_dir[2841*3 + 1] = -0.890513f;	val_dir[2841*3 + 2] = 0.137002f;
 	val_dir[2842*3 + 0] = -0.420542f;	val_dir[2842*3 + 1] = -0.887812f;	val_dir[2842*3 + 2] = 0.186908f;
 	val_dir[2843*3 + 0] = -0.405452f;	val_dir[2843*3 + 1] = -0.882454f;	val_dir[2843*3 + 2] = 0.238501f;
 	val_dir[2844*3 + 0] = -0.388514f;	val_dir[2844*3 + 1] = -0.874157f;	val_dir[2844*3 + 2] = 0.291386f;
 	val_dir[2845*3 + 0] = -0.369723f;	val_dir[2845*3 + 1] = -0.862687f;	val_dir[2845*3 + 2] = 0.345075f;
 	val_dir[2846*3 + 0] = -0.349128f;	val_dir[2846*3 + 1] = -0.847883f;	val_dir[2846*3 + 2] = 0.399004f;
 	val_dir[2847*3 + 0] = -0.326844f;	val_dir[2847*3 + 1] = -0.829680f;	val_dir[2847*3 + 2] = 0.452553f;
 	val_dir[2848*3 + 0] = -0.303046f;	val_dir[2848*3 + 1] = -0.808122f;	val_dir[2848*3 + 2] = 0.505076f;
 	val_dir[2849*3 + 0] = -0.277969f;	val_dir[2849*3 + 1] = -0.783368f;	val_dir[2849*3 + 2] = 0.555939f;
 	val_dir[2850*3 + 0] = -0.251896f;	val_dir[2850*3 + 1] = -0.755689f;	val_dir[2850*3 + 2] = 0.604551f;
 	val_dir[2851*3 + 0] = -0.225141f;	val_dir[2851*3 + 1] = -0.725454f;	val_dir[2851*3 + 2] = 0.650407f;
 	val_dir[2852*3 + 0] = -0.198030f;	val_dir[2852*3 + 1] = -0.693103f;	val_dir[2852*3 + 2] = 0.693103f;
 	val_dir[2853*3 + 0] = -0.170884f;	val_dir[2853*3 + 1] = -0.659125f;	val_dir[2853*3 + 2] = 0.732361f;
 	val_dir[2854*3 + 0] = -0.144005f;	val_dir[2854*3 + 1] = -0.624020f;	val_dir[2854*3 + 2] = 0.768025f;
 	val_dir[2855*3 + 0] = -0.117655f;	val_dir[2855*3 + 1] = -0.588276f;	val_dir[2855*3 + 2] = 0.800055f;
 	val_dir[2856*3 + 0] = -0.092057f;	val_dir[2856*3 + 1] = -0.552345f;	val_dir[2856*3 + 2] = 0.828517f;
 	val_dir[2857*3 + 0] = -0.067386f;	val_dir[2857*3 + 1] = -0.516626f;	val_dir[2857*3 + 2] = 0.853556f;
 	val_dir[2858*3 + 0] = -0.043769f;	val_dir[2858*3 + 1] = -0.481457f;	val_dir[2858*3 + 2] = 0.875376f;
 	val_dir[2859*3 + 0] = -0.021291f;	val_dir[2859*3 + 1] = -0.447112f;	val_dir[2859*3 + 2] = 0.894224f;
 	val_dir[2860*3 + 0] = 0.0f;	val_dir[2860*3 + 1] = -0.413803f;	val_dir[2860*3 + 2] = 0.910366f;
 	val_dir[2861*3 + 0] = 0.020861f;	val_dir[2861*3 + 1] = -0.396350f;	val_dir[2861*3 + 2] = 0.917863f;
 	val_dir[2862*3 + 0] = 0.042033f;	val_dir[2862*3 + 1] = -0.378298f;	val_dir[2862*3 + 2] = 0.924729f;
 	val_dir[2863*3 + 0] = 0.063472f;	val_dir[2863*3 + 1] = -0.359673f;	val_dir[2863*3 + 2] = 0.930917f;
 	val_dir[2864*3 + 0] = 0.085126f;	val_dir[2864*3 + 1] = -0.340503f;	val_dir[2864*3 + 2] = 0.936382f;
 	val_dir[2865*3 + 0] = 0.106941f;	val_dir[2865*3 + 1] = -0.320824f;	val_dir[2865*3 + 2] = 0.941082f;
 	val_dir[2866*3 + 0] = 0.128861f;	val_dir[2866*3 + 1] = -0.300676f;	val_dir[2866*3 + 2] = 0.944981f;
 	val_dir[2867*3 + 0] = 0.150826f;	val_dir[2867*3 + 1] = -0.280105f;	val_dir[2867*3 + 2] = 0.948047f;
 	val_dir[2868*3 + 0] = 0.172774f;	val_dir[2868*3 + 1] = -0.259161f;	val_dir[2868*3 + 2] = 0.950255f;
 	val_dir[2869*3 + 0] = 0.194643f;	val_dir[2869*3 + 1] = -0.237897f;	val_dir[2869*3 + 2] = 0.951588f;
 	val_dir[2870*3 + 0] = 0.216371f;	val_dir[2870*3 + 1] = -0.216371f;	val_dir[2870*3 + 2] = 0.952033f;
 	val_dir[2871*3 + 0] = 0.237897f;	val_dir[2871*3 + 1] = -0.194643f;	val_dir[2871*3 + 2] = 0.951588f;
 	val_dir[2872*3 + 0] = 0.259161f;	val_dir[2872*3 + 1] = -0.172774f;	val_dir[2872*3 + 2] = 0.950255f;
 	val_dir[2873*3 + 0] = 0.280105f;	val_dir[2873*3 + 1] = -0.150826f;	val_dir[2873*3 + 2] = 0.948047f;
 	val_dir[2874*3 + 0] = 0.300676f;	val_dir[2874*3 + 1] = -0.128861f;	val_dir[2874*3 + 2] = 0.944981f;
 	val_dir[2875*3 + 0] = 0.320824f;	val_dir[2875*3 + 1] = -0.106941f;	val_dir[2875*3 + 2] = 0.941082f;
 	val_dir[2876*3 + 0] = 0.340503f;	val_dir[2876*3 + 1] = -0.085126f;	val_dir[2876*3 + 2] = 0.936382f;
 	val_dir[2877*3 + 0] = 0.359673f;	val_dir[2877*3 + 1] = -0.063472f;	val_dir[2877*3 + 2] = 0.930917f;
 	val_dir[2878*3 + 0] = 0.378298f;	val_dir[2878*3 + 1] = -0.042033f;	val_dir[2878*3 + 2] = 0.924729f;
 	val_dir[2879*3 + 0] = 0.396350f;	val_dir[2879*3 + 1] = -0.020861f;	val_dir[2879*3 + 2] = 0.917863f;
 	val_dir[2880*3 + 0] = 0.413803f;	val_dir[2880*3 + 1] = 0.0f;	val_dir[2880*3 + 2] = 0.910366f;
 	val_dir[2881*3 + 0] = 0.447112f;	val_dir[2881*3 + 1] = 0.021291f;	val_dir[2881*3 + 2] = 0.894224f;
 	val_dir[2882*3 + 0] = 0.481457f;	val_dir[2882*3 + 1] = 0.043769f;	val_dir[2882*3 + 2] = 0.875376f;
 	val_dir[2883*3 + 0] = 0.516626f;	val_dir[2883*3 + 1] = 0.067386f;	val_dir[2883*3 + 2] = 0.853556f;
 	val_dir[2884*3 + 0] = 0.552345f;	val_dir[2884*3 + 1] = 0.092057f;	val_dir[2884*3 + 2] = 0.828517f;
 	val_dir[2885*3 + 0] = 0.588276f;	val_dir[2885*3 + 1] = 0.117655f;	val_dir[2885*3 + 2] = 0.800055f;
 	val_dir[2886*3 + 0] = 0.624020f;	val_dir[2886*3 + 1] = 0.144005f;	val_dir[2886*3 + 2] = 0.768025f;
 	val_dir[2887*3 + 0] = 0.659125f;	val_dir[2887*3 + 1] = 0.170884f;	val_dir[2887*3 + 2] = 0.732361f;
 	val_dir[2888*3 + 0] = 0.693103f;	val_dir[2888*3 + 1] = 0.198030f;	val_dir[2888*3 + 2] = 0.693103f;
 	val_dir[2889*3 + 0] = 0.725454f;	val_dir[2889*3 + 1] = 0.225141f;	val_dir[2889*3 + 2] = 0.650407f;
 	val_dir[2890*3 + 0] = 0.755689f;	val_dir[2890*3 + 1] = 0.251896f;	val_dir[2890*3 + 2] = 0.604551f;
 	val_dir[2891*3 + 0] = 0.783368f;	val_dir[2891*3 + 1] = 0.277969f;	val_dir[2891*3 + 2] = 0.555939f;
 	val_dir[2892*3 + 0] = 0.808122f;	val_dir[2892*3 + 1] = 0.303046f;	val_dir[2892*3 + 2] = 0.505076f;
 	val_dir[2893*3 + 0] = 0.829680f;	val_dir[2893*3 + 1] = 0.326844f;	val_dir[2893*3 + 2] = 0.452553f;
 	val_dir[2894*3 + 0] = 0.847883f;	val_dir[2894*3 + 1] = 0.349128f;	val_dir[2894*3 + 2] = 0.399004f;
 	val_dir[2895*3 + 0] = 0.862687f;	val_dir[2895*3 + 1] = 0.369723f;	val_dir[2895*3 + 2] = 0.345075f;
 	val_dir[2896*3 + 0] = 0.874157f;	val_dir[2896*3 + 1] = 0.388514f;	val_dir[2896*3 + 2] = 0.291386f;
 	val_dir[2897*3 + 0] = 0.882454f;	val_dir[2897*3 + 1] = 0.405452f;	val_dir[2897*3 + 2] = 0.238501f;
 	val_dir[2898*3 + 0] = 0.887812f;	val_dir[2898*3 + 1] = 0.420542f;	val_dir[2898*3 + 2] = 0.186908f;
 	val_dir[2899*3 + 0] = 0.890513f;	val_dir[2899*3 + 1] = 0.433840f;	val_dir[2899*3 + 2] = 0.137002f;
 	val_dir[2900*3 + 0] = 0.890871f;	val_dir[2900*3 + 1] = 0.445435f;	val_dir[2900*3 + 2] = 0.089087f;
 	val_dir[2901*3 + 0] = 0.889206f;	val_dir[2901*3 + 1] = 0.455447f;	val_dir[2901*3 + 2] = 0.043376f;
 	val_dir[2902*3 + 0] = 0.885832f;	val_dir[2902*3 + 1] = 0.464007f;	val_dir[2902*3 + 2] = 0.0f;
 	val_dir[2903*3 + 0] = -0.472709f;	val_dir[2903*3 + 1] = -0.880957f;	val_dir[2903*3 + 2] = 0.021487f;
 	val_dir[2904*3 + 0] = -0.463812f;	val_dir[2904*3 + 1] = -0.883452f;	val_dir[2904*3 + 2] = 0.066259f;
 	val_dir[2905*3 + 0] = -0.453376f;	val_dir[2905*3 + 1] = -0.884083f;	val_dir[2905*3 + 2] = 0.113344f;
 	val_dir[2906*3 + 0] = -0.441264f;	val_dir[2906*3 + 1] = -0.882528f;	val_dir[2906*3 + 2] = 0.162571f;
 	val_dir[2907*3 + 0] = -0.427362f;	val_dir[2907*3 + 1] = -0.878466f;	val_dir[2907*3 + 2] = 0.213681f;
 	val_dir[2908*3 + 0] = -0.411585f;	val_dir[2908*3 + 1] = -0.871592f;	val_dir[2908*3 + 2] = 0.266320f;
 	val_dir[2909*3 + 0] = -0.393893f;	val_dir[2909*3 + 1] = -0.861640f;	val_dir[2909*3 + 2] = 0.320038f;
 	val_dir[2910*3 + 0] = -0.374299f;	val_dir[2910*3 + 1] = -0.848411f;	val_dir[2910*3 + 2] = 0.374299f;
 	val_dir[2911*3 + 0] = -0.352879f;	val_dir[2911*3 + 1] = -0.831786f;	val_dir[2911*3 + 2] = 0.428496f;
 	val_dir[2912*3 + 0] = -0.329775f;	val_dir[2912*3 + 1] = -0.811754f;	val_dir[2912*3 + 2] = 0.481979f;
 	val_dir[2913*3 + 0] = -0.305194f;	val_dir[2913*3 + 1] = -0.788419f;	val_dir[2913*3 + 2] = 0.534090f;
 	val_dir[2914*3 + 0] = -0.27940f;	val_dir[2914*3 + 1] = -0.762001f;	val_dir[2914*3 + 2] = 0.584201f;
 	val_dir[2915*3 + 0] = -0.252699f;	val_dir[2915*3 + 1] = -0.732828f;	val_dir[2915*3 + 2] = 0.631748f;
 	val_dir[2916*3 + 0] = -0.225423f;	val_dir[2916*3 + 1] = -0.701316f;	val_dir[2916*3 + 2] = 0.676269f;
 	val_dir[2917*3 + 0] = -0.197908f;	val_dir[2917*3 + 1] = -0.667940f;	val_dir[2917*3 + 2] = 0.717418f;
 	val_dir[2918*3 + 0] = -0.170478f;	val_dir[2918*3 + 1] = -0.633205f;	val_dir[2918*3 + 2] = 0.754976f;
 	val_dir[2919*3 + 0] = -0.143427f;	val_dir[2919*3 + 1] = -0.597614f;	val_dir[2919*3 + 2] = 0.788851f;
 	val_dir[2920*3 + 0] = -0.117009f;	val_dir[2920*3 + 1] = -0.561644f;	val_dir[2920*3 + 2] = 0.819064f;
 	val_dir[2921*3 + 0] = -0.091430f;	val_dir[2921*3 + 1] = -0.525723f;	val_dir[2921*3 + 2] = 0.845728f;
 	val_dir[2922*3 + 0] = -0.066848f;	val_dir[2922*3 + 1] = -0.490222f;	val_dir[2922*3 + 2] = 0.869030f;
 	val_dir[2923*3 + 0] = -0.043376f;	val_dir[2923*3 + 1] = -0.455447f;	val_dir[2923*3 + 2] = 0.889206f;
 	val_dir[2924*3 + 0] = -0.021082f;	val_dir[2924*3 + 1] = -0.421637f;	val_dir[2924*3 + 2] = 0.906520f;
 	val_dir[2925*3 + 0] = 0.0f;	val_dir[2925*3 + 1] = -0.388972f;	val_dir[2925*3 + 2] = 0.921250f;
 	val_dir[2926*3 + 0] = 0.020628f;	val_dir[2926*3 + 1] = -0.371312f;	val_dir[2926*3 + 2] = 0.928279f;
 	val_dir[2927*3 + 0] = 0.041541f;	val_dir[2927*3 + 1] = -0.353096f;	val_dir[2927*3 + 2] = 0.934665f;
 	val_dir[2928*3 + 0] = 0.062691f;	val_dir[2928*3 + 1] = -0.334351f;	val_dir[2928*3 + 2] = 0.940361f;
 	val_dir[2929*3 + 0] = 0.084029f;	val_dir[2929*3 + 1] = -0.315109f;	val_dir[2929*3 + 2] = 0.945328f;
 	val_dir[2930*3 + 0] = 0.105503f;	val_dir[2930*3 + 1] = -0.295409f;	val_dir[2930*3 + 2] = 0.949528f;
 	val_dir[2931*3 + 0] = 0.127057f;	val_dir[2931*3 + 1] = -0.275290f;	val_dir[2931*3 + 2] = 0.952928f;
 	val_dir[2932*3 + 0] = 0.148634f;	val_dir[2932*3 + 1] = -0.254801f;	val_dir[2932*3 + 2] = 0.955502f;
 	val_dir[2933*3 + 0] = 0.170174f;	val_dir[2933*3 + 1] = -0.233990f;	val_dir[2933*3 + 2] = 0.957230f;
 	val_dir[2934*3 + 0] = 0.191620f;	val_dir[2934*3 + 1] = -0.212911f;	val_dir[2934*3 + 2] = 0.958098f;
 	val_dir[2935*3 + 0] = 0.212911f;	val_dir[2935*3 + 1] = -0.191620f;	val_dir[2935*3 + 2] = 0.958098f;
 	val_dir[2936*3 + 0] = 0.233990f;	val_dir[2936*3 + 1] = -0.170174f;	val_dir[2936*3 + 2] = 0.957230f;
 	val_dir[2937*3 + 0] = 0.254801f;	val_dir[2937*3 + 1] = -0.148634f;	val_dir[2937*3 + 2] = 0.955502f;
 	val_dir[2938*3 + 0] = 0.275290f;	val_dir[2938*3 + 1] = -0.127057f;	val_dir[2938*3 + 2] = 0.952928f;
 	val_dir[2939*3 + 0] = 0.295409f;	val_dir[2939*3 + 1] = -0.105503f;	val_dir[2939*3 + 2] = 0.949528f;
 	val_dir[2940*3 + 0] = 0.315109f;	val_dir[2940*3 + 1] = -0.084029f;	val_dir[2940*3 + 2] = 0.945328f;
 	val_dir[2941*3 + 0] = 0.334351f;	val_dir[2941*3 + 1] = -0.062691f;	val_dir[2941*3 + 2] = 0.940361f;
 	val_dir[2942*3 + 0] = 0.353096f;	val_dir[2942*3 + 1] = -0.041541f;	val_dir[2942*3 + 2] = 0.934665f;
 	val_dir[2943*3 + 0] = 0.371312f;	val_dir[2943*3 + 1] = -0.020628f;	val_dir[2943*3 + 2] = 0.928279f;
 	val_dir[2944*3 + 0] = 0.388972f;	val_dir[2944*3 + 1] = 0.0f;	val_dir[2944*3 + 2] = 0.921250f;
 	val_dir[2945*3 + 0] = 0.421637f;	val_dir[2945*3 + 1] = 0.021082f;	val_dir[2945*3 + 2] = 0.906520f;
 	val_dir[2946*3 + 0] = 0.455447f;	val_dir[2946*3 + 1] = 0.043376f;	val_dir[2946*3 + 2] = 0.889206f;
 	val_dir[2947*3 + 0] = 0.490222f;	val_dir[2947*3 + 1] = 0.066848f;	val_dir[2947*3 + 2] = 0.869030f;
 	val_dir[2948*3 + 0] = 0.525723f;	val_dir[2948*3 + 1] = 0.091430f;	val_dir[2948*3 + 2] = 0.845728f;
 	val_dir[2949*3 + 0] = 0.561644f;	val_dir[2949*3 + 1] = 0.117009f;	val_dir[2949*3 + 2] = 0.819064f;
 	val_dir[2950*3 + 0] = 0.597614f;	val_dir[2950*3 + 1] = 0.143427f;	val_dir[2950*3 + 2] = 0.788851f;
 	val_dir[2951*3 + 0] = 0.633205f;	val_dir[2951*3 + 1] = 0.170478f;	val_dir[2951*3 + 2] = 0.754976f;
 	val_dir[2952*3 + 0] = 0.667940f;	val_dir[2952*3 + 1] = 0.197908f;	val_dir[2952*3 + 2] = 0.717418f;
 	val_dir[2953*3 + 0] = 0.701316f;	val_dir[2953*3 + 1] = 0.225423f;	val_dir[2953*3 + 2] = 0.676269f;
 	val_dir[2954*3 + 0] = 0.732828f;	val_dir[2954*3 + 1] = 0.252699f;	val_dir[2954*3 + 2] = 0.631748f;
 	val_dir[2955*3 + 0] = 0.762001f;	val_dir[2955*3 + 1] = 0.27940f;	val_dir[2955*3 + 2] = 0.584201f;
 	val_dir[2956*3 + 0] = 0.788419f;	val_dir[2956*3 + 1] = 0.305194f;	val_dir[2956*3 + 2] = 0.534090f;
 	val_dir[2957*3 + 0] = 0.811754f;	val_dir[2957*3 + 1] = 0.329775f;	val_dir[2957*3 + 2] = 0.481979f;
 	val_dir[2958*3 + 0] = 0.831786f;	val_dir[2958*3 + 1] = 0.352879f;	val_dir[2958*3 + 2] = 0.428496f;
 	val_dir[2959*3 + 0] = 0.848411f;	val_dir[2959*3 + 1] = 0.374299f;	val_dir[2959*3 + 2] = 0.374299f;
 	val_dir[2960*3 + 0] = 0.861640f;	val_dir[2960*3 + 1] = 0.393893f;	val_dir[2960*3 + 2] = 0.320038f;
 	val_dir[2961*3 + 0] = 0.871592f;	val_dir[2961*3 + 1] = 0.411585f;	val_dir[2961*3 + 2] = 0.266320f;
 	val_dir[2962*3 + 0] = 0.878466f;	val_dir[2962*3 + 1] = 0.427362f;	val_dir[2962*3 + 2] = 0.213681f;
 	val_dir[2963*3 + 0] = 0.882528f;	val_dir[2963*3 + 1] = 0.441264f;	val_dir[2963*3 + 2] = 0.162571f;
 	val_dir[2964*3 + 0] = 0.884083f;	val_dir[2964*3 + 1] = 0.453376f;	val_dir[2964*3 + 2] = 0.113344f;
 	val_dir[2965*3 + 0] = 0.883452f;	val_dir[2965*3 + 1] = 0.463812f;	val_dir[2965*3 + 2] = 0.066259f;
 	val_dir[2966*3 + 0] = 0.880957f;	val_dir[2966*3 + 1] = 0.472709f;	val_dir[2966*3 + 2] = 0.021487f;
 	val_dir[2967*3 + 0] = -0.489251f;	val_dir[2967*3 + 1] = -0.872143f;	val_dir[2967*3 + 2] = 0.0f;
 	val_dir[2968*3 + 0] = -0.481457f;	val_dir[2968*3 + 1] = -0.875376f;	val_dir[2968*3 + 2] = 0.043769f;
 	val_dir[2969*3 + 0] = -0.472178f;	val_dir[2969*3 + 1] = -0.876903f;	val_dir[2969*3 + 2] = 0.089939f;
 	val_dir[2970*3 + 0] = -0.461266f;	val_dir[2970*3 + 1] = -0.876405f;	val_dir[2970*3 + 2] = 0.138380f;
 	val_dir[2971*3 + 0] = -0.448583f;	val_dir[2971*3 + 1] = -0.873555f;	val_dir[2971*3 + 2] = 0.188877f;
 	val_dir[2972*3 + 0] = -0.434019f;	val_dir[2972*3 + 1] = -0.868037f;	val_dir[2972*3 + 2] = 0.241121f;
 	val_dir[2973*3 + 0] = -0.41750f;	val_dir[2973*3 + 1] = -0.859559f;	val_dir[2973*3 + 2] = 0.294706f;
 	val_dir[2974*3 + 0] = -0.399004f;	val_dir[2974*3 + 1] = -0.847883f;	val_dir[2974*3 + 2] = 0.349128f;
 	val_dir[2975*3 + 0] = -0.378566f;	val_dir[2975*3 + 1] = -0.832845f;	val_dir[2975*3 + 2] = 0.403804f;
 	val_dir[2976*3 + 0] = -0.356291f;	val_dir[2976*3 + 1] = -0.814379f;	val_dir[2976*3 + 2] = 0.458088f;
 	val_dir[2977*3 + 0] = -0.332352f;	val_dir[2977*3 + 1] = -0.792530f;	val_dir[2977*3 + 2] = 0.511310f;
 	val_dir[2978*3 + 0] = -0.306987f;	val_dir[2978*3 + 1] = -0.767467f;	val_dir[2978*3 + 2] = 0.562809f;
 	val_dir[2979*3 + 0] = -0.280488f;	val_dir[2979*3 + 1] = -0.739469f;	val_dir[2979*3 + 2] = 0.611974f;
 	val_dir[2980*3 + 0] = -0.253185f;	val_dir[2980*3 + 1] = -0.708918f;	val_dir[2980*3 + 2] = 0.658281f;
 	val_dir[2981*3 + 0] = -0.225423f;	val_dir[2981*3 + 1] = -0.676269f;	val_dir[2981*3 + 2] = 0.701316f;
 	val_dir[2982*3 + 0] = -0.197546f;	val_dir[2982*3 + 1] = -0.642024f;	val_dir[2982*3 + 2] = 0.740797f;
 	val_dir[2983*3 + 0] = -0.169875f;	val_dir[2983*3 + 1] = -0.606696f;	val_dir[2983*3 + 2] = 0.776571f;
 	val_dir[2984*3 + 0] = -0.142695f;	val_dir[2984*3 + 1] = -0.570782f;	val_dir[2984*3 + 2] = 0.808608f;
 	val_dir[2985*3 + 0] = -0.116248f;	val_dir[2985*3 + 1] = -0.534739f;	val_dir[2985*3 + 2] = 0.836983f;
 	val_dir[2986*3 + 0] = -0.090722f;	val_dir[2986*3 + 1] = -0.498970f;	val_dir[2986*3 + 2] = 0.861857f;
 	val_dir[2987*3 + 0] = -0.066259f;	val_dir[2987*3 + 1] = -0.463812f;	val_dir[2987*3 + 2] = 0.883452f;
 	val_dir[2988*3 + 0] = -0.042954f;	val_dir[2988*3 + 1] = -0.429537f;	val_dir[2988*3 + 2] = 0.902027f;
 	val_dir[2989*3 + 0] = -0.020861f;	val_dir[2989*3 + 1] = -0.396350f;	val_dir[2989*3 + 2] = 0.917863f;
 	val_dir[2990*3 + 0] = 0.0f;	val_dir[2990*3 + 1] = -0.364399f;	val_dir[2990*3 + 2] = 0.931243f;
 	val_dir[2991*3 + 0] = 0.020387f;	val_dir[2991*3 + 1] = -0.346578f;	val_dir[2991*3 + 2] = 0.93780f;
 	val_dir[2992*3 + 0] = 0.041030f;	val_dir[2992*3 + 1] = -0.328244f;	val_dir[2992*3 + 2] = 0.943701f;
 	val_dir[2993*3 + 0] = 0.061885f;	val_dir[2993*3 + 1] = -0.309426f;	val_dir[2993*3 + 2] = 0.948908f;
 	val_dir[2994*3 + 0] = 0.082903f;	val_dir[2994*3 + 1] = -0.290159f;	val_dir[2994*3 + 2] = 0.953381f;
 	val_dir[2995*3 + 0] = 0.104031f;	val_dir[2995*3 + 1] = -0.270481f;	val_dir[2995*3 + 2] = 0.957088f;
 	val_dir[2996*3 + 0] = 0.125218f;	val_dir[2996*3 + 1] = -0.250435f;	val_dir[2996*3 + 2] = 0.960001f;
 	val_dir[2997*3 + 0] = 0.146406f;	val_dir[2997*3 + 1] = -0.230067f;	val_dir[2997*3 + 2] = 0.962099f;
 	val_dir[2998*3 + 0] = 0.167542f;	val_dir[2998*3 + 1] = -0.209427f;	val_dir[2998*3 + 2] = 0.963364f;
 	val_dir[2999*3 + 0] = 0.188567f;	val_dir[2999*3 + 1] = -0.188567f;	val_dir[2999*3 + 2] = 0.963787f;
 	val_dir[3000*3 + 0] = 0.209427f;	val_dir[3000*3 + 1] = -0.167542f;	val_dir[3000*3 + 2] = 0.963364f;
 	val_dir[3001*3 + 0] = 0.230067f;	val_dir[3001*3 + 1] = -0.146406f;	val_dir[3001*3 + 2] = 0.962099f;
 	val_dir[3002*3 + 0] = 0.250435f;	val_dir[3002*3 + 1] = -0.125218f;	val_dir[3002*3 + 2] = 0.960001f;
 	val_dir[3003*3 + 0] = 0.270481f;	val_dir[3003*3 + 1] = -0.104031f;	val_dir[3003*3 + 2] = 0.957088f;
 	val_dir[3004*3 + 0] = 0.290159f;	val_dir[3004*3 + 1] = -0.082903f;	val_dir[3004*3 + 2] = 0.953381f;
 	val_dir[3005*3 + 0] = 0.309426f;	val_dir[3005*3 + 1] = -0.061885f;	val_dir[3005*3 + 2] = 0.948908f;
 	val_dir[3006*3 + 0] = 0.328244f;	val_dir[3006*3 + 1] = -0.041030f;	val_dir[3006*3 + 2] = 0.943701f;
 	val_dir[3007*3 + 0] = 0.346578f;	val_dir[3007*3 + 1] = -0.020387f;	val_dir[3007*3 + 2] = 0.93780f;
 	val_dir[3008*3 + 0] = 0.364399f;	val_dir[3008*3 + 1] = 0.0f;	val_dir[3008*3 + 2] = 0.931243f;
 	val_dir[3009*3 + 0] = 0.396350f;	val_dir[3009*3 + 1] = 0.020861f;	val_dir[3009*3 + 2] = 0.917863f;
 	val_dir[3010*3 + 0] = 0.429537f;	val_dir[3010*3 + 1] = 0.042954f;	val_dir[3010*3 + 2] = 0.902027f;
 	val_dir[3011*3 + 0] = 0.463812f;	val_dir[3011*3 + 1] = 0.066259f;	val_dir[3011*3 + 2] = 0.883452f;
 	val_dir[3012*3 + 0] = 0.498970f;	val_dir[3012*3 + 1] = 0.090722f;	val_dir[3012*3 + 2] = 0.861857f;
 	val_dir[3013*3 + 0] = 0.534739f;	val_dir[3013*3 + 1] = 0.116248f;	val_dir[3013*3 + 2] = 0.836983f;
 	val_dir[3014*3 + 0] = 0.570782f;	val_dir[3014*3 + 1] = 0.142695f;	val_dir[3014*3 + 2] = 0.808608f;
 	val_dir[3015*3 + 0] = 0.606696f;	val_dir[3015*3 + 1] = 0.169875f;	val_dir[3015*3 + 2] = 0.776571f;
 	val_dir[3016*3 + 0] = 0.642024f;	val_dir[3016*3 + 1] = 0.197546f;	val_dir[3016*3 + 2] = 0.740797f;
 	val_dir[3017*3 + 0] = 0.676269f;	val_dir[3017*3 + 1] = 0.225423f;	val_dir[3017*3 + 2] = 0.701316f;
 	val_dir[3018*3 + 0] = 0.708918f;	val_dir[3018*3 + 1] = 0.253185f;	val_dir[3018*3 + 2] = 0.658281f;
 	val_dir[3019*3 + 0] = 0.739469f;	val_dir[3019*3 + 1] = 0.280488f;	val_dir[3019*3 + 2] = 0.611974f;
 	val_dir[3020*3 + 0] = 0.767467f;	val_dir[3020*3 + 1] = 0.306987f;	val_dir[3020*3 + 2] = 0.562809f;
 	val_dir[3021*3 + 0] = 0.792530f;	val_dir[3021*3 + 1] = 0.332352f;	val_dir[3021*3 + 2] = 0.511310f;
 	val_dir[3022*3 + 0] = 0.814379f;	val_dir[3022*3 + 1] = 0.356291f;	val_dir[3022*3 + 2] = 0.458088f;
 	val_dir[3023*3 + 0] = 0.832845f;	val_dir[3023*3 + 1] = 0.378566f;	val_dir[3023*3 + 2] = 0.403804f;
 	val_dir[3024*3 + 0] = 0.847883f;	val_dir[3024*3 + 1] = 0.399004f;	val_dir[3024*3 + 2] = 0.349128f;
 	val_dir[3025*3 + 0] = 0.859559f;	val_dir[3025*3 + 1] = 0.41750f;	val_dir[3025*3 + 2] = 0.294706f;
 	val_dir[3026*3 + 0] = 0.868037f;	val_dir[3026*3 + 1] = 0.434019f;	val_dir[3026*3 + 2] = 0.241121f;
 	val_dir[3027*3 + 0] = 0.873555f;	val_dir[3027*3 + 1] = 0.448583f;	val_dir[3027*3 + 2] = 0.188877f;
 	val_dir[3028*3 + 0] = 0.876405f;	val_dir[3028*3 + 1] = 0.461266f;	val_dir[3028*3 + 2] = 0.138380f;
 	val_dir[3029*3 + 0] = 0.876903f;	val_dir[3029*3 + 1] = 0.472178f;	val_dir[3029*3 + 2] = 0.089939f;
 	val_dir[3030*3 + 0] = 0.875376f;	val_dir[3030*3 + 1] = 0.481457f;	val_dir[3030*3 + 2] = 0.043769f;
 	val_dir[3031*3 + 0] = 0.872143f;	val_dir[3031*3 + 1] = 0.489251f;	val_dir[3031*3 + 2] = 0.0f;
 	val_dir[3032*3 + 0] = -0.498354f;	val_dir[3032*3 + 1] = -0.866703f;	val_dir[3032*3 + 2] = 0.021668f;
 	val_dir[3033*3 + 0] = -0.490222f;	val_dir[3033*3 + 1] = -0.869030f;	val_dir[3033*3 + 2] = 0.066848f;
 	val_dir[3034*3 + 0] = -0.480510f;	val_dir[3034*3 + 1] = -0.869495f;	val_dir[3034*3 + 2] = 0.114407f;
 	val_dir[3035*3 + 0] = -0.469065f;	val_dir[3035*3 + 1] = -0.867770f;	val_dir[3035*3 + 2] = 0.164173f;
 	val_dir[3036*3 + 0] = -0.455752f;	val_dir[3036*3 + 1] = -0.863530f;	val_dir[3036*3 + 2] = 0.215883f;
 	val_dir[3037*3 + 0] = -0.440468f;	val_dir[3037*3 + 1] = -0.856465f;	val_dir[3037*3 + 2] = 0.269175f;
 	val_dir[3038*3 + 0] = -0.423153f;	val_dir[3038*3 + 1] = -0.846305f;	val_dir[3038*3 + 2] = 0.323587f;
 	val_dir[3039*3 + 0] = -0.403804f;	val_dir[3039*3 + 1] = -0.832845f;	val_dir[3039*3 + 2] = 0.378566f;
 	val_dir[3040*3 + 0] = -0.382484f;	val_dir[3040*3 + 1] = -0.815966f;	val_dir[3040*3 + 2] = 0.433482f;
 	val_dir[3041*3 + 0] = -0.359329f;	val_dir[3041*3 + 1] = -0.795657f;	val_dir[3041*3 + 2] = 0.487661f;
 	val_dir[3042*3 + 0] = -0.334545f;	val_dir[3042*3 + 1] = -0.772027f;	val_dir[3042*3 + 2] = 0.540419f;
 	val_dir[3043*3 + 0] = -0.308403f;	val_dir[3043*3 + 1] = -0.745307f;	val_dir[3043*3 + 2] = 0.591105f;
 	val_dir[3044*3 + 0] = -0.281220f;	val_dir[3044*3 + 1] = -0.715834f;	val_dir[3044*3 + 2] = 0.639138f;
 	val_dir[3045*3 + 0] = -0.253347f;	val_dir[3045*3 + 1] = -0.684038f;	val_dir[3045*3 + 2] = 0.684038f;
 	val_dir[3046*3 + 0] = -0.225141f;	val_dir[3046*3 + 1] = -0.650407f;	val_dir[3046*3 + 2] = 0.725454f;
 	val_dir[3047*3 + 0] = -0.196946f;	val_dir[3047*3 + 1] = -0.615457f;	val_dir[3047*3 + 2] = 0.763167f;
 	val_dir[3048*3 + 0] = -0.169080f;	val_dir[3048*3 + 1] = -0.579703f;	val_dir[3048*3 + 2] = 0.797092f;
 	val_dir[3049*3 + 0] = -0.141816f;	val_dir[3049*3 + 1] = -0.543627f;	val_dir[3049*3 + 2] = 0.827259f;
 	val_dir[3050*3 + 0] = -0.115378f;	val_dir[3050*3 + 1] = -0.507662f;	val_dir[3050*3 + 2] = 0.853796f;
 	val_dir[3051*3 + 0] = -0.089939f;	val_dir[3051*3 + 1] = -0.472178f;	val_dir[3051*3 + 2] = 0.876903f;
 	val_dir[3052*3 + 0] = -0.065622f;	val_dir[3052*3 + 1] = -0.437479f;	val_dir[3052*3 + 2] = 0.896831f;
 	val_dir[3053*3 + 0] = -0.042505f;	val_dir[3053*3 + 1] = -0.403799f;	val_dir[3053*3 + 2] = 0.913860f;
 	val_dir[3054*3 + 0] = -0.020628f;	val_dir[3054*3 + 1] = -0.371312f;	val_dir[3054*3 + 2] = 0.928279f;
 	val_dir[3055*3 + 0] = 0.0f;	val_dir[3055*3 + 1] = -0.340136f;	val_dir[3055*3 + 2] = 0.940376f;
 	val_dir[3056*3 + 0] = 0.020137f;	val_dir[3056*3 + 1] = -0.322198f;	val_dir[3056*3 + 2] = 0.946458f;
 	val_dir[3057*3 + 0] = 0.040505f;	val_dir[3057*3 + 1] = -0.303791f;	val_dir[3057*3 + 2] = 0.951877f;
 	val_dir[3058*3 + 0] = 0.061059f;	val_dir[3058*3 + 1] = -0.284944f;	val_dir[3058*3 + 2] = 0.956597f;
 	val_dir[3059*3 + 0] = 0.081752f;	val_dir[3059*3 + 1] = -0.265694f;	val_dir[3059*3 + 2] = 0.960585f;
 	val_dir[3060*3 + 0] = 0.102533f;	val_dir[3060*3 + 1] = -0.246079f;	val_dir[3060*3 + 2] = 0.963811f;
 	val_dir[3061*3 + 0] = 0.123351f;	val_dir[3061*3 + 1] = -0.226144f;	val_dir[3061*3 + 2] = 0.966252f;
 	val_dir[3062*3 + 0] = 0.144154f;	val_dir[3062*3 + 1] = -0.205934f;	val_dir[3062*3 + 2] = 0.967890f;
 	val_dir[3063*3 + 0] = 0.164887f;	val_dir[3063*3 + 1] = -0.185498f;	val_dir[3063*3 + 2] = 0.968712f;
 	val_dir[3064*3 + 0] = 0.185498f;	val_dir[3064*3 + 1] = -0.164887f;	val_dir[3064*3 + 2] = 0.968712f;
 	val_dir[3065*3 + 0] = 0.205934f;	val_dir[3065*3 + 1] = -0.144154f;	val_dir[3065*3 + 2] = 0.967890f;
 	val_dir[3066*3 + 0] = 0.226144f;	val_dir[3066*3 + 1] = -0.123351f;	val_dir[3066*3 + 2] = 0.966252f;
 	val_dir[3067*3 + 0] = 0.246079f;	val_dir[3067*3 + 1] = -0.102533f;	val_dir[3067*3 + 2] = 0.963811f;
 	val_dir[3068*3 + 0] = 0.265694f;	val_dir[3068*3 + 1] = -0.081752f;	val_dir[3068*3 + 2] = 0.960585f;
 	val_dir[3069*3 + 0] = 0.284944f;	val_dir[3069*3 + 1] = -0.061059f;	val_dir[3069*3 + 2] = 0.956597f;
 	val_dir[3070*3 + 0] = 0.303791f;	val_dir[3070*3 + 1] = -0.040505f;	val_dir[3070*3 + 2] = 0.951877f;
 	val_dir[3071*3 + 0] = 0.322198f;	val_dir[3071*3 + 1] = -0.020137f;	val_dir[3071*3 + 2] = 0.946458f;
 	val_dir[3072*3 + 0] = 0.340136f;	val_dir[3072*3 + 1] = 0.0f;	val_dir[3072*3 + 2] = 0.940376f;
 	val_dir[3073*3 + 0] = 0.371312f;	val_dir[3073*3 + 1] = 0.020628f;	val_dir[3073*3 + 2] = 0.928279f;
 	val_dir[3074*3 + 0] = 0.403799f;	val_dir[3074*3 + 1] = 0.042505f;	val_dir[3074*3 + 2] = 0.913860f;
 	val_dir[3075*3 + 0] = 0.437479f;	val_dir[3075*3 + 1] = 0.065622f;	val_dir[3075*3 + 2] = 0.896831f;
 	val_dir[3076*3 + 0] = 0.472178f;	val_dir[3076*3 + 1] = 0.089939f;	val_dir[3076*3 + 2] = 0.876903f;
 	val_dir[3077*3 + 0] = 0.507662f;	val_dir[3077*3 + 1] = 0.115378f;	val_dir[3077*3 + 2] = 0.853796f;
 	val_dir[3078*3 + 0] = 0.543627f;	val_dir[3078*3 + 1] = 0.141816f;	val_dir[3078*3 + 2] = 0.827259f;
 	val_dir[3079*3 + 0] = 0.579703f;	val_dir[3079*3 + 1] = 0.169080f;	val_dir[3079*3 + 2] = 0.797092f;
 	val_dir[3080*3 + 0] = 0.615457f;	val_dir[3080*3 + 1] = 0.196946f;	val_dir[3080*3 + 2] = 0.763167f;
 	val_dir[3081*3 + 0] = 0.650407f;	val_dir[3081*3 + 1] = 0.225141f;	val_dir[3081*3 + 2] = 0.725454f;
 	val_dir[3082*3 + 0] = 0.684038f;	val_dir[3082*3 + 1] = 0.253347f;	val_dir[3082*3 + 2] = 0.684038f;
 	val_dir[3083*3 + 0] = 0.715834f;	val_dir[3083*3 + 1] = 0.281220f;	val_dir[3083*3 + 2] = 0.639138f;
 	val_dir[3084*3 + 0] = 0.745307f;	val_dir[3084*3 + 1] = 0.308403f;	val_dir[3084*3 + 2] = 0.591105f;
 	val_dir[3085*3 + 0] = 0.772027f;	val_dir[3085*3 + 1] = 0.334545f;	val_dir[3085*3 + 2] = 0.540419f;
 	val_dir[3086*3 + 0] = 0.795657f;	val_dir[3086*3 + 1] = 0.359329f;	val_dir[3086*3 + 2] = 0.487661f;
 	val_dir[3087*3 + 0] = 0.815966f;	val_dir[3087*3 + 1] = 0.382484f;	val_dir[3087*3 + 2] = 0.433482f;
 	val_dir[3088*3 + 0] = 0.832845f;	val_dir[3088*3 + 1] = 0.403804f;	val_dir[3088*3 + 2] = 0.378566f;
 	val_dir[3089*3 + 0] = 0.846305f;	val_dir[3089*3 + 1] = 0.423153f;	val_dir[3089*3 + 2] = 0.323587f;
 	val_dir[3090*3 + 0] = 0.856465f;	val_dir[3090*3 + 1] = 0.440468f;	val_dir[3090*3 + 2] = 0.269175f;
 	val_dir[3091*3 + 0] = 0.863530f;	val_dir[3091*3 + 1] = 0.455752f;	val_dir[3091*3 + 2] = 0.215883f;
 	val_dir[3092*3 + 0] = 0.867770f;	val_dir[3092*3 + 1] = 0.469065f;	val_dir[3092*3 + 2] = 0.164173f;
 	val_dir[3093*3 + 0] = 0.869495f;	val_dir[3093*3 + 1] = 0.480510f;	val_dir[3093*3 + 2] = 0.114407f;
 	val_dir[3094*3 + 0] = 0.869030f;	val_dir[3094*3 + 1] = 0.490222f;	val_dir[3094*3 + 2] = 0.066848f;
 	val_dir[3095*3 + 0] = 0.866703f;	val_dir[3095*3 + 1] = 0.498354f;	val_dir[3095*3 + 2] = 0.021668f;
 	val_dir[3096*3 + 0] = -0.514496f;	val_dir[3096*3 + 1] = -0.857493f;	val_dir[3096*3 + 2] = 0.0f;
 	val_dir[3097*3 + 0] = -0.507490f;	val_dir[3097*3 + 1] = -0.860527f;	val_dir[3097*3 + 2] = 0.044130f;
 	val_dir[3098*3 + 0] = -0.498970f;	val_dir[3098*3 + 1] = -0.861857f;	val_dir[3098*3 + 2] = 0.090722f;
 	val_dir[3099*3 + 0] = -0.488769f;	val_dir[3099*3 + 1] = -0.861164f;	val_dir[3099*3 + 2] = 0.139648f;
 	val_dir[3100*3 + 0] = -0.476731f;	val_dir[3100*3 + 1] = -0.858116f;	val_dir[3100*3 + 2] = 0.190693f;
 	val_dir[3101*3 + 0] = -0.462727f;	val_dir[3101*3 + 1] = -0.852392f;	val_dir[3101*3 + 2] = 0.243541f;
 	val_dir[3102*3 + 0] = -0.446662f;	val_dir[3102*3 + 1] = -0.843696f;	val_dir[3102*3 + 2] = 0.297775f;
 	val_dir[3103*3 + 0] = -0.428496f;	val_dir[3103*3 + 1] = -0.831786f;	val_dir[3103*3 + 2] = 0.352879f;
 	val_dir[3104*3 + 0] = -0.408248f;	val_dir[3104*3 + 1] = -0.816497f;	val_dir[3104*3 + 2] = 0.408248f;
 	val_dir[3105*3 + 0] = -0.386014f;	val_dir[3105*3 + 1] = -0.797762f;	val_dir[3105*3 + 2] = 0.463217f;
 	val_dir[3106*3 + 0] = -0.361961f;	val_dir[3106*3 + 1] = -0.775632f;	val_dir[3106*3 + 2] = 0.517088f;
 	val_dir[3107*3 + 0] = -0.336332f;	val_dir[3107*3 + 1] = -0.750279f;	val_dir[3107*3 + 2] = 0.569177f;
 	val_dir[3108*3 + 0] = -0.309426f;	val_dir[3108*3 + 1] = -0.721995f;	val_dir[3108*3 + 2] = 0.618853f;
 	val_dir[3109*3 + 0] = -0.281589f;	val_dir[3109*3 + 1] = -0.691173f;	val_dir[3109*3 + 2] = 0.665574f;
 	val_dir[3110*3 + 0] = -0.253185f;	val_dir[3110*3 + 1] = -0.658281f;	val_dir[3110*3 + 2] = 0.708918f;
 	val_dir[3111*3 + 0] = -0.224579f;	val_dir[3111*3 + 1] = -0.623831f;	val_dir[3111*3 + 2] = 0.748598f;
 	val_dir[3112*3 + 0] = -0.196116f;	val_dir[3112*3 + 1] = -0.588348f;	val_dir[3112*3 + 2] = 0.784465f;
 	val_dir[3113*3 + 0] = -0.168102f;	val_dir[3113*3 + 1] = -0.552336f;	val_dir[3113*3 + 2] = 0.816497f;
 	val_dir[3114*3 + 0] = -0.140797f;	val_dir[3114*3 + 1] = -0.516256f;	val_dir[3114*3 + 2] = 0.844782f;
 	val_dir[3115*3 + 0] = -0.114407f;	val_dir[3115*3 + 1] = -0.480510f;	val_dir[3115*3 + 2] = 0.869495f;
 	val_dir[3116*3 + 0] = -0.089087f;	val_dir[3116*3 + 1] = -0.445435f;	val_dir[3116*3 + 2] = 0.890871f;
 	val_dir[3117*3 + 0] = -0.064942f;	val_dir[3117*3 + 1] = -0.411298f;	val_dir[3117*3 + 2] = 0.909185f;
 	val_dir[3118*3 + 0] = -0.042033f;	val_dir[3118*3 + 1] = -0.378298f;	val_dir[3118*3 + 2] = 0.924729f;
 	val_dir[3119*3 + 0] = -0.020387f;	val_dir[3119*3 + 1] = -0.346578f;	val_dir[3119*3 + 2] = 0.93780f;
 	val_dir[3120*3 + 0] = 0.0f;	val_dir[3120*3 + 1] = -0.316228f;	val_dir[3120*3 + 2] = 0.948683f;
 	val_dir[3121*3 + 0] = 0.019881f;	val_dir[3121*3 + 1] = -0.298216f;	val_dir[3121*3 + 2] = 0.954291f;
 	val_dir[3122*3 + 0] = 0.039968f;	val_dir[3122*3 + 1] = -0.279776f;	val_dir[3122*3 + 2] = 0.959233f;
 	val_dir[3123*3 + 0] = 0.060217f;	val_dir[3123*3 + 1] = -0.260941f;	val_dir[3123*3 + 2] = 0.963475f;
 	val_dir[3124*3 + 0] = 0.080582f;	val_dir[3124*3 + 1] = -0.241747f;	val_dir[3124*3 + 2] = 0.966988f;
 	val_dir[3125*3 + 0] = 0.101015f;	val_dir[3125*3 + 1] = -0.222234f;	val_dir[3125*3 + 2] = 0.969746f;
 	val_dir[3126*3 + 0] = 0.121466f;	val_dir[3126*3 + 1] = -0.202444f;	val_dir[3126*3 + 2] = 0.971732f;
 	val_dir[3127*3 + 0] = 0.141885f;	val_dir[3127*3 + 1] = -0.182424f;	val_dir[3127*3 + 2] = 0.972929f;
 	val_dir[3128*3 + 0] = 0.162221f;	val_dir[3128*3 + 1] = -0.162221f;	val_dir[3128*3 + 2] = 0.973329f;
 	val_dir[3129*3 + 0] = 0.182424f;	val_dir[3129*3 + 1] = -0.141885f;	val_dir[3129*3 + 2] = 0.972929f;
 	val_dir[3130*3 + 0] = 0.202444f;	val_dir[3130*3 + 1] = -0.121466f;	val_dir[3130*3 + 2] = 0.971732f;
 	val_dir[3131*3 + 0] = 0.222234f;	val_dir[3131*3 + 1] = -0.101015f;	val_dir[3131*3 + 2] = 0.969746f;
 	val_dir[3132*3 + 0] = 0.241747f;	val_dir[3132*3 + 1] = -0.080582f;	val_dir[3132*3 + 2] = 0.966988f;
 	val_dir[3133*3 + 0] = 0.260941f;	val_dir[3133*3 + 1] = -0.060217f;	val_dir[3133*3 + 2] = 0.963475f;
 	val_dir[3134*3 + 0] = 0.279776f;	val_dir[3134*3 + 1] = -0.039968f;	val_dir[3134*3 + 2] = 0.959233f;
 	val_dir[3135*3 + 0] = 0.298216f;	val_dir[3135*3 + 1] = -0.019881f;	val_dir[3135*3 + 2] = 0.954291f;
 	val_dir[3136*3 + 0] = 0.316228f;	val_dir[3136*3 + 1] = 0.0f;	val_dir[3136*3 + 2] = 0.948683f;
 	val_dir[3137*3 + 0] = 0.346578f;	val_dir[3137*3 + 1] = 0.020387f;	val_dir[3137*3 + 2] = 0.93780f;
 	val_dir[3138*3 + 0] = 0.378298f;	val_dir[3138*3 + 1] = 0.042033f;	val_dir[3138*3 + 2] = 0.924729f;
 	val_dir[3139*3 + 0] = 0.411298f;	val_dir[3139*3 + 1] = 0.064942f;	val_dir[3139*3 + 2] = 0.909185f;
 	val_dir[3140*3 + 0] = 0.445435f;	val_dir[3140*3 + 1] = 0.089087f;	val_dir[3140*3 + 2] = 0.890871f;
 	val_dir[3141*3 + 0] = 0.480510f;	val_dir[3141*3 + 1] = 0.114407f;	val_dir[3141*3 + 2] = 0.869495f;
 	val_dir[3142*3 + 0] = 0.516256f;	val_dir[3142*3 + 1] = 0.140797f;	val_dir[3142*3 + 2] = 0.844782f;
 	val_dir[3143*3 + 0] = 0.552336f;	val_dir[3143*3 + 1] = 0.168102f;	val_dir[3143*3 + 2] = 0.816497f;
 	val_dir[3144*3 + 0] = 0.588348f;	val_dir[3144*3 + 1] = 0.196116f;	val_dir[3144*3 + 2] = 0.784465f;
 	val_dir[3145*3 + 0] = 0.623831f;	val_dir[3145*3 + 1] = 0.224579f;	val_dir[3145*3 + 2] = 0.748598f;
 	val_dir[3146*3 + 0] = 0.658281f;	val_dir[3146*3 + 1] = 0.253185f;	val_dir[3146*3 + 2] = 0.708918f;
 	val_dir[3147*3 + 0] = 0.691173f;	val_dir[3147*3 + 1] = 0.281589f;	val_dir[3147*3 + 2] = 0.665574f;
 	val_dir[3148*3 + 0] = 0.721995f;	val_dir[3148*3 + 1] = 0.309426f;	val_dir[3148*3 + 2] = 0.618853f;
 	val_dir[3149*3 + 0] = 0.750279f;	val_dir[3149*3 + 1] = 0.336332f;	val_dir[3149*3 + 2] = 0.569177f;
 	val_dir[3150*3 + 0] = 0.775632f;	val_dir[3150*3 + 1] = 0.361961f;	val_dir[3150*3 + 2] = 0.517088f;
 	val_dir[3151*3 + 0] = 0.797762f;	val_dir[3151*3 + 1] = 0.386014f;	val_dir[3151*3 + 2] = 0.463217f;
 	val_dir[3152*3 + 0] = 0.816497f;	val_dir[3152*3 + 1] = 0.408248f;	val_dir[3152*3 + 2] = 0.408248f;
 	val_dir[3153*3 + 0] = 0.831786f;	val_dir[3153*3 + 1] = 0.428496f;	val_dir[3153*3 + 2] = 0.352879f;
 	val_dir[3154*3 + 0] = 0.843696f;	val_dir[3154*3 + 1] = 0.446662f;	val_dir[3154*3 + 2] = 0.297775f;
 	val_dir[3155*3 + 0] = 0.852392f;	val_dir[3155*3 + 1] = 0.462727f;	val_dir[3155*3 + 2] = 0.243541f;
 	val_dir[3156*3 + 0] = 0.858116f;	val_dir[3156*3 + 1] = 0.476731f;	val_dir[3156*3 + 2] = 0.190693f;
 	val_dir[3157*3 + 0] = 0.861164f;	val_dir[3157*3 + 1] = 0.488769f;	val_dir[3157*3 + 2] = 0.139648f;
 	val_dir[3158*3 + 0] = 0.861857f;	val_dir[3158*3 + 1] = 0.498970f;	val_dir[3158*3 + 2] = 0.090722f;
 	val_dir[3159*3 + 0] = 0.860527f;	val_dir[3159*3 + 1] = 0.507490f;	val_dir[3159*3 + 2] = 0.044130f;
 	val_dir[3160*3 + 0] = 0.857493f;	val_dir[3160*3 + 1] = 0.514496f;	val_dir[3160*3 + 2] = 0.0f;
 	val_dir[3161*3 + 0] = -0.523973f;	val_dir[3161*3 + 1] = -0.851455f;	val_dir[3161*3 + 2] = 0.021832f;
 	val_dir[3162*3 + 0] = -0.516626f;	val_dir[3162*3 + 1] = -0.853556f;	val_dir[3162*3 + 2] = 0.067386f;
 	val_dir[3163*3 + 0] = -0.507662f;	val_dir[3163*3 + 1] = -0.853796f;	val_dir[3163*3 + 2] = 0.115378f;
 	val_dir[3164*3 + 0] = -0.496911f;	val_dir[3164*3 + 1] = -0.851847f;	val_dir[3164*3 + 2] = 0.165637f;
 	val_dir[3165*3 + 0] = -0.484217f;	val_dir[3165*3 + 1] = -0.847381f;	val_dir[3165*3 + 2] = 0.217898f;
 	val_dir[3166*3 + 0] = -0.469458f;	val_dir[3166*3 + 1] = -0.840083f;	val_dir[3166*3 + 2] = 0.271791f;
 	val_dir[3167*3 + 0] = -0.452553f;	val_dir[3167*3 + 1] = -0.829680f;	val_dir[3167*3 + 2] = 0.326844f;
 	val_dir[3168*3 + 0] = -0.433482f;	val_dir[3168*3 + 1] = -0.815966f;	val_dir[3168*3 + 2] = 0.382484f;
 	val_dir[3169*3 + 0] = -0.412294f;	val_dir[3169*3 + 1] = -0.798820f;	val_dir[3169*3 + 2] = 0.438063f;
 	val_dir[3170*3 + 0] = -0.389118f;	val_dir[3170*3 + 1] = -0.778237f;	val_dir[3170*3 + 2] = 0.492883f;
 	val_dir[3171*3 + 0] = -0.364159f;	val_dir[3171*3 + 1] = -0.754329f;	val_dir[3171*3 + 2] = 0.546238f;
 	val_dir[3172*3 + 0] = -0.337691f;	val_dir[3172*3 + 1] = -0.727334f;	val_dir[3172*3 + 2] = 0.597453f;
 	val_dir[3173*3 + 0] = -0.310045f;	val_dir[3173*3 + 1] = -0.697602f;	val_dir[3173*3 + 2] = 0.645928f;
 	val_dir[3174*3 + 0] = -0.281589f;	val_dir[3174*3 + 1] = -0.665574f;	val_dir[3174*3 + 2] = 0.691173f;
 	val_dir[3175*3 + 0] = -0.252699f;	val_dir[3175*3 + 1] = -0.631748f;	val_dir[3175*3 + 2] = 0.732828f;
 	val_dir[3176*3 + 0] = -0.223745f;	val_dir[3176*3 + 1] = -0.596653f;	val_dir[3176*3 + 2] = 0.770677f;
 	val_dir[3177*3 + 0] = -0.195064f;	val_dir[3177*3 + 1] = -0.560809f;	val_dir[3177*3 + 2] = 0.804639f;
 	val_dir[3178*3 + 0] = -0.166951f;	val_dir[3178*3 + 1] = -0.524703f;	val_dir[3178*3 + 2] = 0.834754f;
 	val_dir[3179*3 + 0] = -0.139648f;	val_dir[3179*3 + 1] = -0.488769f;	val_dir[3179*3 + 2] = 0.861164f;
 	val_dir[3180*3 + 0] = -0.113344f;	val_dir[3180*3 + 1] = -0.453376f;	val_dir[3180*3 + 2] = 0.884083f;
 	val_dir[3181*3 + 0] = -0.088173f;	val_dir[3181*3 + 1] = -0.418823f;	val_dir[3181*3 + 2] = 0.903777f;
 	val_dir[3182*3 + 0] = -0.064223f;	val_dir[3182*3 + 1] = -0.385341f;	val_dir[3182*3 + 2] = 0.920537f;
 	val_dir[3183*3 + 0] = -0.041541f;	val_dir[3183*3 + 1] = -0.353096f;	val_dir[3183*3 + 2] = 0.934665f;
 	val_dir[3184*3 + 0] = -0.020137f;	val_dir[3184*3 + 1] = -0.322198f;	val_dir[3184*3 + 2] = 0.946458f;
 	val_dir[3185*3 + 0] = 0.0f;	val_dir[3185*3 + 1] = -0.292714f;	val_dir[3185*3 + 2] = 0.95620f;
 	val_dir[3186*3 + 0] = 0.019619f;	val_dir[3186*3 + 1] = -0.274668f;	val_dir[3186*3 + 2] = 0.961339f;
 	val_dir[3187*3 + 0] = 0.039421f;	val_dir[3187*3 + 1] = -0.256235f;	val_dir[3187*3 + 2] = 0.965810f;
 	val_dir[3188*3 + 0] = 0.059362f;	val_dir[3188*3 + 1] = -0.237449f;	val_dir[3188*3 + 2] = 0.969584f;
 	val_dir[3189*3 + 0] = 0.079399f;	val_dir[3189*3 + 1] = -0.218347f;	val_dir[3189*3 + 2] = 0.972636f;
 	val_dir[3190*3 + 0] = 0.099484f;	val_dir[3190*3 + 1] = -0.198968f;	val_dir[3190*3 + 2] = 0.974943f;
 	val_dir[3191*3 + 0] = 0.119570f;	val_dir[3191*3 + 1] = -0.179355f;	val_dir[3191*3 + 2] = 0.976491f;
 	val_dir[3192*3 + 0] = 0.139610f;	val_dir[3192*3 + 1] = -0.159554f;	val_dir[3192*3 + 2] = 0.977267f;
 	val_dir[3193*3 + 0] = 0.159554f;	val_dir[3193*3 + 1] = -0.139610f;	val_dir[3193*3 + 2] = 0.977267f;
 	val_dir[3194*3 + 0] = 0.179355f;	val_dir[3194*3 + 1] = -0.119570f;	val_dir[3194*3 + 2] = 0.976491f;
 	val_dir[3195*3 + 0] = 0.198968f;	val_dir[3195*3 + 1] = -0.099484f;	val_dir[3195*3 + 2] = 0.974943f;
 	val_dir[3196*3 + 0] = 0.218347f;	val_dir[3196*3 + 1] = -0.079399f;	val_dir[3196*3 + 2] = 0.972636f;
 	val_dir[3197*3 + 0] = 0.237449f;	val_dir[3197*3 + 1] = -0.059362f;	val_dir[3197*3 + 2] = 0.969584f;
 	val_dir[3198*3 + 0] = 0.256235f;	val_dir[3198*3 + 1] = -0.039421f;	val_dir[3198*3 + 2] = 0.965810f;
 	val_dir[3199*3 + 0] = 0.274668f;	val_dir[3199*3 + 1] = -0.019619f;	val_dir[3199*3 + 2] = 0.961339f;
 	val_dir[3200*3 + 0] = 0.292714f;	val_dir[3200*3 + 1] = 0.0f;	val_dir[3200*3 + 2] = 0.95620f;
 	val_dir[3201*3 + 0] = 0.322198f;	val_dir[3201*3 + 1] = 0.020137f;	val_dir[3201*3 + 2] = 0.946458f;
 	val_dir[3202*3 + 0] = 0.353096f;	val_dir[3202*3 + 1] = 0.041541f;	val_dir[3202*3 + 2] = 0.934665f;
 	val_dir[3203*3 + 0] = 0.385341f;	val_dir[3203*3 + 1] = 0.064223f;	val_dir[3203*3 + 2] = 0.920537f;
 	val_dir[3204*3 + 0] = 0.418823f;	val_dir[3204*3 + 1] = 0.088173f;	val_dir[3204*3 + 2] = 0.903777f;
 	val_dir[3205*3 + 0] = 0.453376f;	val_dir[3205*3 + 1] = 0.113344f;	val_dir[3205*3 + 2] = 0.884083f;
 	val_dir[3206*3 + 0] = 0.488769f;	val_dir[3206*3 + 1] = 0.139648f;	val_dir[3206*3 + 2] = 0.861164f;
 	val_dir[3207*3 + 0] = 0.524703f;	val_dir[3207*3 + 1] = 0.166951f;	val_dir[3207*3 + 2] = 0.834754f;
 	val_dir[3208*3 + 0] = 0.560809f;	val_dir[3208*3 + 1] = 0.195064f;	val_dir[3208*3 + 2] = 0.804639f;
 	val_dir[3209*3 + 0] = 0.596653f;	val_dir[3209*3 + 1] = 0.223745f;	val_dir[3209*3 + 2] = 0.770677f;
 	val_dir[3210*3 + 0] = 0.631748f;	val_dir[3210*3 + 1] = 0.252699f;	val_dir[3210*3 + 2] = 0.732828f;
 	val_dir[3211*3 + 0] = 0.665574f;	val_dir[3211*3 + 1] = 0.281589f;	val_dir[3211*3 + 2] = 0.691173f;
 	val_dir[3212*3 + 0] = 0.697602f;	val_dir[3212*3 + 1] = 0.310045f;	val_dir[3212*3 + 2] = 0.645928f;
 	val_dir[3213*3 + 0] = 0.727334f;	val_dir[3213*3 + 1] = 0.337691f;	val_dir[3213*3 + 2] = 0.597453f;
 	val_dir[3214*3 + 0] = 0.754329f;	val_dir[3214*3 + 1] = 0.364159f;	val_dir[3214*3 + 2] = 0.546238f;
 	val_dir[3215*3 + 0] = 0.778237f;	val_dir[3215*3 + 1] = 0.389118f;	val_dir[3215*3 + 2] = 0.492883f;
 	val_dir[3216*3 + 0] = 0.798820f;	val_dir[3216*3 + 1] = 0.412294f;	val_dir[3216*3 + 2] = 0.438063f;
 	val_dir[3217*3 + 0] = 0.815966f;	val_dir[3217*3 + 1] = 0.433482f;	val_dir[3217*3 + 2] = 0.382484f;
 	val_dir[3218*3 + 0] = 0.829680f;	val_dir[3218*3 + 1] = 0.452553f;	val_dir[3218*3 + 2] = 0.326844f;
 	val_dir[3219*3 + 0] = 0.840083f;	val_dir[3219*3 + 1] = 0.469458f;	val_dir[3219*3 + 2] = 0.271791f;
 	val_dir[3220*3 + 0] = 0.847381f;	val_dir[3220*3 + 1] = 0.484217f;	val_dir[3220*3 + 2] = 0.217898f;
 	val_dir[3221*3 + 0] = 0.851847f;	val_dir[3221*3 + 1] = 0.496911f;	val_dir[3221*3 + 2] = 0.165637f;
 	val_dir[3222*3 + 0] = 0.853796f;	val_dir[3222*3 + 1] = 0.507662f;	val_dir[3222*3 + 2] = 0.115378f;
 	val_dir[3223*3 + 0] = 0.853556f;	val_dir[3223*3 + 1] = 0.516626f;	val_dir[3223*3 + 2] = 0.067386f;
 	val_dir[3224*3 + 0] = 0.851455f;	val_dir[3224*3 + 1] = 0.523973f;	val_dir[3224*3 + 2] = 0.021832f;
 	val_dir[3225*3 + 0] = -0.539666f;	val_dir[3225*3 + 1] = -0.841879f;	val_dir[3225*3 + 2] = 0.0f;
 	val_dir[3226*3 + 0] = -0.533465f;	val_dir[3226*3 + 1] = -0.844653f;	val_dir[3226*3 + 2] = 0.044455f;
 	val_dir[3227*3 + 0] = -0.525723f;	val_dir[3227*3 + 1] = -0.845728f;	val_dir[3227*3 + 2] = 0.091430f;
 	val_dir[3228*3 + 0] = -0.516256f;	val_dir[3228*3 + 1] = -0.844782f;	val_dir[3228*3 + 2] = 0.140797f;
 	val_dir[3229*3 + 0] = -0.504889f;	val_dir[3229*3 + 1] = -0.841482f;	val_dir[3229*3 + 2] = 0.192339f;
 	val_dir[3230*3 + 0] = -0.491473f;	val_dir[3230*3 + 1] = -0.835504f;	val_dir[3230*3 + 2] = 0.245737f;
 	val_dir[3231*3 + 0] = -0.475893f;	val_dir[3231*3 + 1] = -0.826551f;	val_dir[3231*3 + 2] = 0.300564f;
 	val_dir[3232*3 + 0] = -0.458088f;	val_dir[3232*3 + 1] = -0.814379f;	val_dir[3232*3 + 2] = 0.356291f;
 	val_dir[3233*3 + 0] = -0.438063f;	val_dir[3233*3 + 1] = -0.798820f;	val_dir[3233*3 + 2] = 0.412294f;
 	val_dir[3234*3 + 0] = -0.41590f;	val_dir[3234*3 + 1] = -0.779813f;	val_dir[3234*3 + 2] = 0.467888f;
 	val_dir[3235*3 + 0] = -0.391764f;	val_dir[3235*3 + 1] = -0.757410f;	val_dir[3235*3 + 2] = 0.522352f;
 	val_dir[3236*3 + 0] = -0.365896f;	val_dir[3236*3 + 1] = -0.731792f;	val_dir[3236*3 + 2] = 0.574979f;
 	val_dir[3237*3 + 0] = -0.338606f;	val_dir[3237*3 + 1] = -0.703259f;	val_dir[3237*3 + 2] = 0.625119f;
 	val_dir[3238*3 + 0] = -0.310253f;	val_dir[3238*3 + 1] = -0.672214f;	val_dir[3238*3 + 2] = 0.672214f;
 	val_dir[3239*3 + 0] = -0.281220f;	val_dir[3239*3 + 1] = -0.639138f;	val_dir[3239*3 + 2] = 0.715834f;
 	val_dir[3240*3 + 0] = -0.251896f;	val_dir[3240*3 + 1] = -0.604551f;	val_dir[3240*3 + 2] = 0.755689f;
 	val_dir[3241*3 + 0] = -0.222647f;	val_dir[3241*3 + 1] = -0.568986f;	val_dir[3241*3 + 2] = 0.791633f;
 	val_dir[3242*3 + 0] = -0.193801f;	val_dir[3242*3 + 1] = -0.532952f;	val_dir[3242*3 + 2] = 0.823653f;
 	val_dir[3243*3 + 0] = -0.165637f;	val_dir[3243*3 + 1] = -0.496911f;	val_dir[3243*3 + 2] = 0.851847f;
 	val_dir[3244*3 + 0] = -0.138380f;	val_dir[3244*3 + 1] = -0.461266f;	val_dir[3244*3 + 2] = 0.876405f;
 	val_dir[3245*3 + 0] = -0.112197f;	val_dir[3245*3 + 1] = -0.426348f;	val_dir[3245*3 + 2] = 0.897574f;
 	val_dir[3246*3 + 0] = -0.087204f;	val_dir[3246*3 + 1] = -0.392419f;	val_dir[3246*3 + 2] = 0.915644f;
 	val_dir[3247*3 + 0] = -0.063472f;	val_dir[3247*3 + 1] = -0.359673f;	val_dir[3247*3 + 2] = 0.930917f;
 	val_dir[3248*3 + 0] = -0.041030f;	val_dir[3248*3 + 1] = -0.328244f;	val_dir[3248*3 + 2] = 0.943701f;
 	val_dir[3249*3 + 0] = -0.019881f;	val_dir[3249*3 + 1] = -0.298216f;	val_dir[3249*3 + 2] = 0.954291f;
 	val_dir[3250*3 + 0] = 0.0f;	val_dir[3250*3 + 1] = -0.269630f;	val_dir[3250*3 + 2] = 0.962964f;
 	val_dir[3251*3 + 0] = 0.019353f;	val_dir[3251*3 + 1] = -0.251587f;	val_dir[3251*3 + 2] = 0.967641f;
 	val_dir[3252*3 + 0] = 0.038866f;	val_dir[3252*3 + 1] = -0.233197f;	val_dir[3252*3 + 2] = 0.971653f;
 	val_dir[3253*3 + 0] = 0.058498f;	val_dir[3253*3 + 1] = -0.214494f;	val_dir[3253*3 + 2] = 0.974972f;
 	val_dir[3254*3 + 0] = 0.078206f;	val_dir[3254*3 + 1] = -0.195515f;	val_dir[3254*3 + 2] = 0.977577f;
 	val_dir[3255*3 + 0] = 0.097945f;	val_dir[3255*3 + 1] = -0.176301f;	val_dir[3255*3 + 2] = 0.979451f;
 	val_dir[3256*3 + 0] = 0.117670f;	val_dir[3256*3 + 1] = -0.156893f;	val_dir[3256*3 + 2] = 0.980581f;
 	val_dir[3257*3 + 0] = 0.137334f;	val_dir[3257*3 + 1] = -0.137334f;	val_dir[3257*3 + 2] = 0.980958f;
 	val_dir[3258*3 + 0] = 0.156893f;	val_dir[3258*3 + 1] = -0.117670f;	val_dir[3258*3 + 2] = 0.980581f;
 	val_dir[3259*3 + 0] = 0.176301f;	val_dir[3259*3 + 1] = -0.097945f;	val_dir[3259*3 + 2] = 0.979451f;
 	val_dir[3260*3 + 0] = 0.195515f;	val_dir[3260*3 + 1] = -0.078206f;	val_dir[3260*3 + 2] = 0.977577f;
 	val_dir[3261*3 + 0] = 0.214494f;	val_dir[3261*3 + 1] = -0.058498f;	val_dir[3261*3 + 2] = 0.974972f;
 	val_dir[3262*3 + 0] = 0.233197f;	val_dir[3262*3 + 1] = -0.038866f;	val_dir[3262*3 + 2] = 0.971653f;
 	val_dir[3263*3 + 0] = 0.251587f;	val_dir[3263*3 + 1] = -0.019353f;	val_dir[3263*3 + 2] = 0.967641f;
 	val_dir[3264*3 + 0] = 0.269630f;	val_dir[3264*3 + 1] = 0.0f;	val_dir[3264*3 + 2] = 0.962964f;
 	val_dir[3265*3 + 0] = 0.298216f;	val_dir[3265*3 + 1] = 0.019881f;	val_dir[3265*3 + 2] = 0.954291f;
 	val_dir[3266*3 + 0] = 0.328244f;	val_dir[3266*3 + 1] = 0.041030f;	val_dir[3266*3 + 2] = 0.943701f;
 	val_dir[3267*3 + 0] = 0.359673f;	val_dir[3267*3 + 1] = 0.063472f;	val_dir[3267*3 + 2] = 0.930917f;
 	val_dir[3268*3 + 0] = 0.392419f;	val_dir[3268*3 + 1] = 0.087204f;	val_dir[3268*3 + 2] = 0.915644f;
 	val_dir[3269*3 + 0] = 0.426348f;	val_dir[3269*3 + 1] = 0.112197f;	val_dir[3269*3 + 2] = 0.897574f;
 	val_dir[3270*3 + 0] = 0.461266f;	val_dir[3270*3 + 1] = 0.138380f;	val_dir[3270*3 + 2] = 0.876405f;
 	val_dir[3271*3 + 0] = 0.496911f;	val_dir[3271*3 + 1] = 0.165637f;	val_dir[3271*3 + 2] = 0.851847f;
 	val_dir[3272*3 + 0] = 0.532952f;	val_dir[3272*3 + 1] = 0.193801f;	val_dir[3272*3 + 2] = 0.823653f;
 	val_dir[3273*3 + 0] = 0.568986f;	val_dir[3273*3 + 1] = 0.222647f;	val_dir[3273*3 + 2] = 0.791633f;
 	val_dir[3274*3 + 0] = 0.604551f;	val_dir[3274*3 + 1] = 0.251896f;	val_dir[3274*3 + 2] = 0.755689f;
 	val_dir[3275*3 + 0] = 0.639138f;	val_dir[3275*3 + 1] = 0.281220f;	val_dir[3275*3 + 2] = 0.715834f;
 	val_dir[3276*3 + 0] = 0.672214f;	val_dir[3276*3 + 1] = 0.310253f;	val_dir[3276*3 + 2] = 0.672214f;
 	val_dir[3277*3 + 0] = 0.703259f;	val_dir[3277*3 + 1] = 0.338606f;	val_dir[3277*3 + 2] = 0.625119f;
 	val_dir[3278*3 + 0] = 0.731792f;	val_dir[3278*3 + 1] = 0.365896f;	val_dir[3278*3 + 2] = 0.574979f;
 	val_dir[3279*3 + 0] = 0.757410f;	val_dir[3279*3 + 1] = 0.391764f;	val_dir[3279*3 + 2] = 0.522352f;
 	val_dir[3280*3 + 0] = 0.779813f;	val_dir[3280*3 + 1] = 0.41590f;	val_dir[3280*3 + 2] = 0.467888f;
 	val_dir[3281*3 + 0] = 0.798820f;	val_dir[3281*3 + 1] = 0.438063f;	val_dir[3281*3 + 2] = 0.412294f;
 	val_dir[3282*3 + 0] = 0.814379f;	val_dir[3282*3 + 1] = 0.458088f;	val_dir[3282*3 + 2] = 0.356291f;
 	val_dir[3283*3 + 0] = 0.826551f;	val_dir[3283*3 + 1] = 0.475893f;	val_dir[3283*3 + 2] = 0.300564f;
 	val_dir[3284*3 + 0] = 0.835504f;	val_dir[3284*3 + 1] = 0.491473f;	val_dir[3284*3 + 2] = 0.245737f;
 	val_dir[3285*3 + 0] = 0.841482f;	val_dir[3285*3 + 1] = 0.504889f;	val_dir[3285*3 + 2] = 0.192339f;
 	val_dir[3286*3 + 0] = 0.844782f;	val_dir[3286*3 + 1] = 0.516256f;	val_dir[3286*3 + 2] = 0.140797f;
 	val_dir[3287*3 + 0] = 0.845728f;	val_dir[3287*3 + 1] = 0.525723f;	val_dir[3287*3 + 2] = 0.091430f;
 	val_dir[3288*3 + 0] = 0.844653f;	val_dir[3288*3 + 1] = 0.533465f;	val_dir[3288*3 + 2] = 0.044455f;
 	val_dir[3289*3 + 0] = 0.841879f;	val_dir[3289*3 + 1] = 0.539666f;	val_dir[3289*3 + 2] = 0.0f;
 	val_dir[3290*3 + 0] = -0.549484f;	val_dir[3290*3 + 1] = -0.835215f;	val_dir[3290*3 + 2] = 0.021979f;
 	val_dir[3291*3 + 0] = -0.542936f;	val_dir[3291*3 + 1] = -0.837027f;	val_dir[3291*3 + 2] = 0.067867f;
 	val_dir[3292*3 + 0] = -0.534739f;	val_dir[3292*3 + 1] = -0.836983f;	val_dir[3292*3 + 2] = 0.116248f;
 	val_dir[3293*3 + 0] = -0.524703f;	val_dir[3293*3 + 1] = -0.834754f;	val_dir[3293*3 + 2] = 0.166951f;
 	val_dir[3294*3 + 0] = -0.512653f;	val_dir[3294*3 + 1] = -0.830009f;	val_dir[3294*3 + 2] = 0.219708f;
 	val_dir[3295*3 + 0] = -0.498445f;	val_dir[3295*3 + 1] = -0.822434f;	val_dir[3295*3 + 2] = 0.274145f;
 	val_dir[3296*3 + 0] = -0.481979f;	val_dir[3296*3 + 1] = -0.811754f;	val_dir[3296*3 + 2] = 0.329775f;
 	val_dir[3297*3 + 0] = -0.463217f;	val_dir[3297*3 + 1] = -0.797762f;	val_dir[3297*3 + 2] = 0.386014f;
 	val_dir[3298*3 + 0] = -0.442193f;	val_dir[3298*3 + 1] = -0.780340f;	val_dir[3298*3 + 2] = 0.442193f;
 	val_dir[3299*3 + 0] = -0.419026f;	val_dir[3299*3 + 1] = -0.759485f;	val_dir[3299*3 + 2] = 0.497594f;
 	val_dir[3300*3 + 0] = -0.393919f;	val_dir[3300*3 + 1] = -0.735316f;	val_dir[3300*3 + 2] = 0.551487f;
 	val_dir[3301*3 + 0] = -0.367152f;	val_dir[3301*3 + 1] = -0.708079f;	val_dir[3301*3 + 2] = 0.603178f;
 	val_dir[3302*3 + 0] = -0.339066f;	val_dir[3302*3 + 1] = -0.678133f;	val_dir[3302*3 + 2] = 0.652051f;
 	val_dir[3303*3 + 0] = -0.310045f;	val_dir[3303*3 + 1] = -0.645928f;	val_dir[3303*3 + 2] = 0.697602f;
 	val_dir[3304*3 + 0] = -0.280488f;	val_dir[3304*3 + 1] = -0.611974f;	val_dir[3304*3 + 2] = 0.739469f;
 	val_dir[3305*3 + 0] = -0.250785f;	val_dir[3305*3 + 1] = -0.576805f;	val_dir[3305*3 + 2] = 0.777433f;
 	val_dir[3306*3 + 0] = -0.221297f;	val_dir[3306*3 + 1] = -0.540947f;	val_dir[3306*3 + 2] = 0.811421f;
 	val_dir[3307*3 + 0] = -0.192339f;	val_dir[3307*3 + 1] = -0.504889f;	val_dir[3307*3 + 2] = 0.841482f;
 	val_dir[3308*3 + 0] = -0.164173f;	val_dir[3308*3 + 1] = -0.469065f;	val_dir[3308*3 + 2] = 0.867770f;
 	val_dir[3309*3 + 0] = -0.137002f;	val_dir[3309*3 + 1] = -0.433840f;	val_dir[3309*3 + 2] = 0.890513f;
 	val_dir[3310*3 + 0] = -0.110974f;	val_dir[3310*3 + 1] = -0.399507f;	val_dir[3310*3 + 2] = 0.909988f;
 	val_dir[3311*3 + 0] = -0.086186f;	val_dir[3311*3 + 1] = -0.366291f;	val_dir[3311*3 + 2] = 0.92650f;
 	val_dir[3312*3 + 0] = -0.062691f;	val_dir[3312*3 + 1] = -0.334351f;	val_dir[3312*3 + 2] = 0.940361f;
 	val_dir[3313*3 + 0] = -0.040505f;	val_dir[3313*3 + 1] = -0.303791f;	val_dir[3313*3 + 2] = 0.951877f;
 	val_dir[3314*3 + 0] = -0.019619f;	val_dir[3314*3 + 1] = -0.274668f;	val_dir[3314*3 + 2] = 0.961339f;
 	val_dir[3315*3 + 0] = 0.0f;	val_dir[3315*3 + 1] = -0.247004f;	val_dir[3315*3 + 2] = 0.969015f;
 	val_dir[3316*3 + 0] = 0.019083f;	val_dir[3316*3 + 1] = -0.228998f;	val_dir[3316*3 + 2] = 0.973240f;
 	val_dir[3317*3 + 0] = 0.038306f;	val_dir[3317*3 + 1] = -0.210683f;	val_dir[3317*3 + 2] = 0.976804f;
 	val_dir[3318*3 + 0] = 0.057628f;	val_dir[3318*3 + 1] = -0.192095f;	val_dir[3318*3 + 2] = 0.979683f;
 	val_dir[3319*3 + 0] = 0.077009f;	val_dir[3319*3 + 1] = -0.173269f;	val_dir[3319*3 + 2] = 0.981859f;
 	val_dir[3320*3 + 0] = 0.096404f;	val_dir[3320*3 + 1] = -0.154246f;	val_dir[3320*3 + 2] = 0.983318f;
 	val_dir[3321*3 + 0] = 0.115771f;	val_dir[3321*3 + 1] = -0.135066f;	val_dir[3321*3 + 2] = 0.984050f;
 	val_dir[3322*3 + 0] = 0.135066f;	val_dir[3322*3 + 1] = -0.115771f;	val_dir[3322*3 + 2] = 0.984050f;
 	val_dir[3323*3 + 0] = 0.154246f;	val_dir[3323*3 + 1] = -0.096404f;	val_dir[3323*3 + 2] = 0.983318f;
 	val_dir[3324*3 + 0] = 0.173269f;	val_dir[3324*3 + 1] = -0.077009f;	val_dir[3324*3 + 2] = 0.981859f;
 	val_dir[3325*3 + 0] = 0.192095f;	val_dir[3325*3 + 1] = -0.057628f;	val_dir[3325*3 + 2] = 0.979683f;
 	val_dir[3326*3 + 0] = 0.210683f;	val_dir[3326*3 + 1] = -0.038306f;	val_dir[3326*3 + 2] = 0.976804f;
 	val_dir[3327*3 + 0] = 0.228998f;	val_dir[3327*3 + 1] = -0.019083f;	val_dir[3327*3 + 2] = 0.973240f;
 	val_dir[3328*3 + 0] = 0.247004f;	val_dir[3328*3 + 1] = 0.0f;	val_dir[3328*3 + 2] = 0.969015f;
 	val_dir[3329*3 + 0] = 0.274668f;	val_dir[3329*3 + 1] = 0.019619f;	val_dir[3329*3 + 2] = 0.961339f;
 	val_dir[3330*3 + 0] = 0.303791f;	val_dir[3330*3 + 1] = 0.040505f;	val_dir[3330*3 + 2] = 0.951877f;
 	val_dir[3331*3 + 0] = 0.334351f;	val_dir[3331*3 + 1] = 0.062691f;	val_dir[3331*3 + 2] = 0.940361f;
 	val_dir[3332*3 + 0] = 0.366291f;	val_dir[3332*3 + 1] = 0.086186f;	val_dir[3332*3 + 2] = 0.92650f;
 	val_dir[3333*3 + 0] = 0.399507f;	val_dir[3333*3 + 1] = 0.110974f;	val_dir[3333*3 + 2] = 0.909988f;
 	val_dir[3334*3 + 0] = 0.433840f;	val_dir[3334*3 + 1] = 0.137002f;	val_dir[3334*3 + 2] = 0.890513f;
 	val_dir[3335*3 + 0] = 0.469065f;	val_dir[3335*3 + 1] = 0.164173f;	val_dir[3335*3 + 2] = 0.867770f;
 	val_dir[3336*3 + 0] = 0.504889f;	val_dir[3336*3 + 1] = 0.192339f;	val_dir[3336*3 + 2] = 0.841482f;
 	val_dir[3337*3 + 0] = 0.540947f;	val_dir[3337*3 + 1] = 0.221297f;	val_dir[3337*3 + 2] = 0.811421f;
 	val_dir[3338*3 + 0] = 0.576805f;	val_dir[3338*3 + 1] = 0.250785f;	val_dir[3338*3 + 2] = 0.777433f;
 	val_dir[3339*3 + 0] = 0.611974f;	val_dir[3339*3 + 1] = 0.280488f;	val_dir[3339*3 + 2] = 0.739469f;
 	val_dir[3340*3 + 0] = 0.645928f;	val_dir[3340*3 + 1] = 0.310045f;	val_dir[3340*3 + 2] = 0.697602f;
 	val_dir[3341*3 + 0] = 0.678133f;	val_dir[3341*3 + 1] = 0.339066f;	val_dir[3341*3 + 2] = 0.652051f;
 	val_dir[3342*3 + 0] = 0.708079f;	val_dir[3342*3 + 1] = 0.367152f;	val_dir[3342*3 + 2] = 0.603178f;
 	val_dir[3343*3 + 0] = 0.735316f;	val_dir[3343*3 + 1] = 0.393919f;	val_dir[3343*3 + 2] = 0.551487f;
 	val_dir[3344*3 + 0] = 0.759485f;	val_dir[3344*3 + 1] = 0.419026f;	val_dir[3344*3 + 2] = 0.497594f;
 	val_dir[3345*3 + 0] = 0.780340f;	val_dir[3345*3 + 1] = 0.442193f;	val_dir[3345*3 + 2] = 0.442193f;
 	val_dir[3346*3 + 0] = 0.797762f;	val_dir[3346*3 + 1] = 0.463217f;	val_dir[3346*3 + 2] = 0.386014f;
 	val_dir[3347*3 + 0] = 0.811754f;	val_dir[3347*3 + 1] = 0.481979f;	val_dir[3347*3 + 2] = 0.329775f;
 	val_dir[3348*3 + 0] = 0.822434f;	val_dir[3348*3 + 1] = 0.498445f;	val_dir[3348*3 + 2] = 0.274145f;
 	val_dir[3349*3 + 0] = 0.830009f;	val_dir[3349*3 + 1] = 0.512653f;	val_dir[3349*3 + 2] = 0.219708f;
 	val_dir[3350*3 + 0] = 0.834754f;	val_dir[3350*3 + 1] = 0.524703f;	val_dir[3350*3 + 2] = 0.166951f;
 	val_dir[3351*3 + 0] = 0.836983f;	val_dir[3351*3 + 1] = 0.534739f;	val_dir[3351*3 + 2] = 0.116248f;
 	val_dir[3352*3 + 0] = 0.837027f;	val_dir[3352*3 + 1] = 0.542936f;	val_dir[3352*3 + 2] = 0.067867f;
 	val_dir[3353*3 + 0] = 0.835215f;	val_dir[3353*3 + 1] = 0.549484f;	val_dir[3353*3 + 2] = 0.021979f;
 	val_dir[3354*3 + 0] = -0.564684f;	val_dir[3354*3 + 1] = -0.825307f;	val_dir[3354*3 + 2] = 0.0f;
 	val_dir[3355*3 + 0] = -0.559297f;	val_dir[3355*3 + 1] = -0.827759f;	val_dir[3355*3 + 2] = 0.044744f;
 	val_dir[3356*3 + 0] = -0.552345f;	val_dir[3356*3 + 1] = -0.828517f;	val_dir[3356*3 + 2] = 0.092057f;
 	val_dir[3357*3 + 0] = -0.543627f;	val_dir[3357*3 + 1] = -0.827259f;	val_dir[3357*3 + 2] = 0.141816f;
 	val_dir[3358*3 + 0] = -0.532952f;	val_dir[3358*3 + 1] = -0.823653f;	val_dir[3358*3 + 2] = 0.193801f;
 	val_dir[3359*3 + 0] = -0.520146f;	val_dir[3359*3 + 1] = -0.817373f;	val_dir[3359*3 + 2] = 0.247689f;
 	val_dir[3360*3 + 0] = -0.505076f;	val_dir[3360*3 + 1] = -0.808122f;	val_dir[3360*3 + 2] = 0.303046f;
 	val_dir[3361*3 + 0] = -0.487661f;	val_dir[3361*3 + 1] = -0.795657f;	val_dir[3361*3 + 2] = 0.359329f;
 	val_dir[3362*3 + 0] = -0.467888f;	val_dir[3362*3 + 1] = -0.779813f;	val_dir[3362*3 + 2] = 0.41590f;
 	val_dir[3363*3 + 0] = -0.445827f;	val_dir[3363*3 + 1] = -0.760529f;	val_dir[3363*3 + 2] = 0.472053f;
 	val_dir[3364*3 + 0] = -0.421637f;	val_dir[3364*3 + 1] = -0.737865f;	val_dir[3364*3 + 2] = 0.527046f;
 	val_dir[3365*3 + 0] = -0.395559f;	val_dir[3365*3 + 1] = -0.712007f;	val_dir[3365*3 + 2] = 0.580154f;
 	val_dir[3366*3 + 0] = -0.367912f;	val_dir[3366*3 + 1] = -0.683265f;	val_dir[3366*3 + 2] = 0.630706f;
 	val_dir[3367*3 + 0] = -0.339066f;	val_dir[3367*3 + 1] = -0.652051f;	val_dir[3367*3 + 2] = 0.678133f;
 	val_dir[3368*3 + 0] = -0.309426f;	val_dir[3368*3 + 1] = -0.618853f;	val_dir[3368*3 + 2] = 0.721995f;
 	val_dir[3369*3 + 0] = -0.27940f;	val_dir[3369*3 + 1] = -0.584201f;	val_dir[3369*3 + 2] = 0.762001f;
 	val_dir[3370*3 + 0] = -0.249377f;	val_dir[3370*3 + 1] = -0.548630f;	val_dir[3370*3 + 2] = 0.798007f;
 	val_dir[3371*3 + 0] = -0.219708f;	val_dir[3371*3 + 1] = -0.512653f;	val_dir[3371*3 + 2] = 0.830009f;
 	val_dir[3372*3 + 0] = -0.190693f;	val_dir[3372*3 + 1] = -0.476731f;	val_dir[3372*3 + 2] = 0.858116f;
 	val_dir[3373*3 + 0] = -0.162571f;	val_dir[3373*3 + 1] = -0.441264f;	val_dir[3373*3 + 2] = 0.882528f;
 	val_dir[3374*3 + 0] = -0.135526f;	val_dir[3374*3 + 1] = -0.406579f;	val_dir[3374*3 + 2] = 0.903508f;
 	val_dir[3375*3 + 0] = -0.109685f;	val_dir[3375*3 + 1] = -0.372929f;	val_dir[3375*3 + 2] = 0.921354f;
 	val_dir[3376*3 + 0] = -0.085126f;	val_dir[3376*3 + 1] = -0.340503f;	val_dir[3376*3 + 2] = 0.936382f;
 	val_dir[3377*3 + 0] = -0.061885f;	val_dir[3377*3 + 1] = -0.309426f;	val_dir[3377*3 + 2] = 0.948908f;
 	val_dir[3378*3 + 0] = -0.039968f;	val_dir[3378*3 + 1] = -0.279776f;	val_dir[3378*3 + 2] = 0.959233f;
 	val_dir[3379*3 + 0] = -0.019353f;	val_dir[3379*3 + 1] = -0.251587f;	val_dir[3379*3 + 2] = 0.967641f;
 	val_dir[3380*3 + 0] = 0.0f;	val_dir[3380*3 + 1] = -0.224860f;	val_dir[3380*3 + 2] = 0.974391f;
 	val_dir[3381*3 + 0] = 0.018811f;	val_dir[3381*3 + 1] = -0.206922f;	val_dir[3381*3 + 2] = 0.978177f;
 	val_dir[3382*3 + 0] = 0.037743f;	val_dir[3382*3 + 1] = -0.188713f;	val_dir[3382*3 + 2] = 0.981307f;
 	val_dir[3383*3 + 0] = 0.056756f;	val_dir[3383*3 + 1] = -0.170267f;	val_dir[3383*3 + 2] = 0.983762f;
 	val_dir[3384*3 + 0] = 0.075810f;	val_dir[3384*3 + 1] = -0.151620f;	val_dir[3384*3 + 2] = 0.985527f;
 	val_dir[3385*3 + 0] = 0.094865f;	val_dir[3385*3 + 1] = -0.132810f;	val_dir[3385*3 + 2] = 0.986591f;
 	val_dir[3386*3 + 0] = 0.113878f;	val_dir[3386*3 + 1] = -0.113878f;	val_dir[3386*3 + 2] = 0.986947f;
 	val_dir[3387*3 + 0] = 0.132810f;	val_dir[3387*3 + 1] = -0.094865f;	val_dir[3387*3 + 2] = 0.986591f;
 	val_dir[3388*3 + 0] = 0.151620f;	val_dir[3388*3 + 1] = -0.075810f;	val_dir[3388*3 + 2] = 0.985527f;
 	val_dir[3389*3 + 0] = 0.170267f;	val_dir[3389*3 + 1] = -0.056756f;	val_dir[3389*3 + 2] = 0.983762f;
 	val_dir[3390*3 + 0] = 0.188713f;	val_dir[3390*3 + 1] = -0.037743f;	val_dir[3390*3 + 2] = 0.981307f;
 	val_dir[3391*3 + 0] = 0.206922f;	val_dir[3391*3 + 1] = -0.018811f;	val_dir[3391*3 + 2] = 0.978177f;
 	val_dir[3392*3 + 0] = 0.224860f;	val_dir[3392*3 + 1] = 0.0f;	val_dir[3392*3 + 2] = 0.974391f;
 	val_dir[3393*3 + 0] = 0.251587f;	val_dir[3393*3 + 1] = 0.019353f;	val_dir[3393*3 + 2] = 0.967641f;
 	val_dir[3394*3 + 0] = 0.279776f;	val_dir[3394*3 + 1] = 0.039968f;	val_dir[3394*3 + 2] = 0.959233f;
 	val_dir[3395*3 + 0] = 0.309426f;	val_dir[3395*3 + 1] = 0.061885f;	val_dir[3395*3 + 2] = 0.948908f;
 	val_dir[3396*3 + 0] = 0.340503f;	val_dir[3396*3 + 1] = 0.085126f;	val_dir[3396*3 + 2] = 0.936382f;
 	val_dir[3397*3 + 0] = 0.372929f;	val_dir[3397*3 + 1] = 0.109685f;	val_dir[3397*3 + 2] = 0.921354f;
 	val_dir[3398*3 + 0] = 0.406579f;	val_dir[3398*3 + 1] = 0.135526f;	val_dir[3398*3 + 2] = 0.903508f;
 	val_dir[3399*3 + 0] = 0.441264f;	val_dir[3399*3 + 1] = 0.162571f;	val_dir[3399*3 + 2] = 0.882528f;
 	val_dir[3400*3 + 0] = 0.476731f;	val_dir[3400*3 + 1] = 0.190693f;	val_dir[3400*3 + 2] = 0.858116f;
 	val_dir[3401*3 + 0] = 0.512653f;	val_dir[3401*3 + 1] = 0.219708f;	val_dir[3401*3 + 2] = 0.830009f;
 	val_dir[3402*3 + 0] = 0.548630f;	val_dir[3402*3 + 1] = 0.249377f;	val_dir[3402*3 + 2] = 0.798007f;
 	val_dir[3403*3 + 0] = 0.584201f;	val_dir[3403*3 + 1] = 0.27940f;	val_dir[3403*3 + 2] = 0.762001f;
 	val_dir[3404*3 + 0] = 0.618853f;	val_dir[3404*3 + 1] = 0.309426f;	val_dir[3404*3 + 2] = 0.721995f;
 	val_dir[3405*3 + 0] = 0.652051f;	val_dir[3405*3 + 1] = 0.339066f;	val_dir[3405*3 + 2] = 0.678133f;
 	val_dir[3406*3 + 0] = 0.683265f;	val_dir[3406*3 + 1] = 0.367912f;	val_dir[3406*3 + 2] = 0.630706f;
 	val_dir[3407*3 + 0] = 0.712007f;	val_dir[3407*3 + 1] = 0.395559f;	val_dir[3407*3 + 2] = 0.580154f;
 	val_dir[3408*3 + 0] = 0.737865f;	val_dir[3408*3 + 1] = 0.421637f;	val_dir[3408*3 + 2] = 0.527046f;
 	val_dir[3409*3 + 0] = 0.760529f;	val_dir[3409*3 + 1] = 0.445827f;	val_dir[3409*3 + 2] = 0.472053f;
 	val_dir[3410*3 + 0] = 0.779813f;	val_dir[3410*3 + 1] = 0.467888f;	val_dir[3410*3 + 2] = 0.41590f;
 	val_dir[3411*3 + 0] = 0.795657f;	val_dir[3411*3 + 1] = 0.487661f;	val_dir[3411*3 + 2] = 0.359329f;
 	val_dir[3412*3 + 0] = 0.808122f;	val_dir[3412*3 + 1] = 0.505076f;	val_dir[3412*3 + 2] = 0.303046f;
 	val_dir[3413*3 + 0] = 0.817373f;	val_dir[3413*3 + 1] = 0.520146f;	val_dir[3413*3 + 2] = 0.247689f;
 	val_dir[3414*3 + 0] = 0.823653f;	val_dir[3414*3 + 1] = 0.532952f;	val_dir[3414*3 + 2] = 0.193801f;
 	val_dir[3415*3 + 0] = 0.827259f;	val_dir[3415*3 + 1] = 0.543627f;	val_dir[3415*3 + 2] = 0.141816f;
 	val_dir[3416*3 + 0] = 0.828517f;	val_dir[3416*3 + 1] = 0.552345f;	val_dir[3416*3 + 2] = 0.092057f;
 	val_dir[3417*3 + 0] = 0.827759f;	val_dir[3417*3 + 1] = 0.559297f;	val_dir[3417*3 + 2] = 0.044744f;
 	val_dir[3418*3 + 0] = 0.825307f;	val_dir[3418*3 + 1] = 0.564684f;	val_dir[3418*3 + 2] = 0.0f;
 	val_dir[3419*3 + 0] = -0.574805f;	val_dir[3419*3 + 1] = -0.817992f;	val_dir[3419*3 + 2] = 0.022108f;
 	val_dir[3420*3 + 0] = -0.569064f;	val_dir[3420*3 + 1] = -0.819453f;	val_dir[3420*3 + 2] = 0.068288f;
 	val_dir[3421*3 + 0] = -0.561644f;	val_dir[3421*3 + 1] = -0.819064f;	val_dir[3421*3 + 2] = 0.117009f;
 	val_dir[3422*3 + 0] = -0.552336f;	val_dir[3422*3 + 1] = -0.816497f;	val_dir[3422*3 + 2] = 0.168102f;
 	val_dir[3423*3 + 0] = -0.540947f;	val_dir[3423*3 + 1] = -0.811421f;	val_dir[3423*3 + 2] = 0.221297f;
 	val_dir[3424*3 + 0] = -0.527312f;	val_dir[3424*3 + 1] = -0.803523f;	val_dir[3424*3 + 2] = 0.276211f;
 	val_dir[3425*3 + 0] = -0.511310f;	val_dir[3425*3 + 1] = -0.792530f;	val_dir[3425*3 + 2] = 0.332352f;
 	val_dir[3426*3 + 0] = -0.492883f;	val_dir[3426*3 + 1] = -0.778237f;	val_dir[3426*3 + 2] = 0.389118f;
 	val_dir[3427*3 + 0] = -0.472053f;	val_dir[3427*3 + 1] = -0.760529f;	val_dir[3427*3 + 2] = 0.445827f;
 	val_dir[3428*3 + 0] = -0.448926f;	val_dir[3428*3 + 1] = -0.739407f;	val_dir[3428*3 + 2] = 0.501740f;
 	val_dir[3429*3 + 0] = -0.423702f;	val_dir[3429*3 + 1] = -0.714997f;	val_dir[3429*3 + 2] = 0.556108f;
 	val_dir[3430*3 + 0] = -0.396664f;	val_dir[3430*3 + 1] = -0.687552f;	val_dir[3430*3 + 2] = 0.608219f;
 	val_dir[3431*3 + 0] = -0.368166f;	val_dir[3431*3 + 1] = -0.657440f;	val_dir[3431*3 + 2] = 0.657440f;
 	val_dir[3432*3 + 0] = -0.338606f;	val_dir[3432*3 + 1] = -0.625119f;	val_dir[3432*3 + 2] = 0.703259f;
 	val_dir[3433*3 + 0] = -0.308403f;	val_dir[3433*3 + 1] = -0.591105f;	val_dir[3433*3 + 2] = 0.745307f;
 	val_dir[3434*3 + 0] = -0.277969f;	val_dir[3434*3 + 1] = -0.555939f;	val_dir[3434*3 + 2] = 0.783368f;
 	val_dir[3435*3 + 0] = -0.247689f;	val_dir[3435*3 + 1] = -0.520146f;	val_dir[3435*3 + 2] = 0.817373f;
 	val_dir[3436*3 + 0] = -0.217898f;	val_dir[3436*3 + 1] = -0.484217f;	val_dir[3436*3 + 2] = 0.847381f;
 	val_dir[3437*3 + 0] = -0.188877f;	val_dir[3437*3 + 1] = -0.448583f;	val_dir[3437*3 + 2] = 0.873555f;
 	val_dir[3438*3 + 0] = -0.160845f;	val_dir[3438*3 + 1] = -0.413602f;	val_dir[3438*3 + 2] = 0.896137f;
 	val_dir[3439*3 + 0] = -0.133963f;	val_dir[3439*3 + 1] = -0.379563f;	val_dir[3439*3 + 2] = 0.915416f;
 	val_dir[3440*3 + 0] = -0.108338f;	val_dir[3440*3 + 1] = -0.346681f;	val_dir[3440*3 + 2] = 0.931705f;
 	val_dir[3441*3 + 0] = -0.084029f;	val_dir[3441*3 + 1] = -0.315109f;	val_dir[3441*3 + 2] = 0.945328f;
 	val_dir[3442*3 + 0] = -0.061059f;	val_dir[3442*3 + 1] = -0.284944f;	val_dir[3442*3 + 2] = 0.956597f;
 	val_dir[3443*3 + 0] = -0.039421f;	val_dir[3443*3 + 1] = -0.256235f;	val_dir[3443*3 + 2] = 0.965810f;
 	val_dir[3444*3 + 0] = -0.019083f;	val_dir[3444*3 + 1] = -0.228998f;	val_dir[3444*3 + 2] = 0.973240f;
 	val_dir[3445*3 + 0] = 0.0f;	val_dir[3445*3 + 1] = -0.203216f;	val_dir[3445*3 + 2] = 0.979134f;
 	val_dir[3446*3 + 0] = 0.018538f;	val_dir[3446*3 + 1] = -0.185376f;	val_dir[3446*3 + 2] = 0.982493f;
 	val_dir[3447*3 + 0] = 0.037178f;	val_dir[3447*3 + 1] = -0.167299f;	val_dir[3447*3 + 2] = 0.985205f;
 	val_dir[3448*3 + 0] = 0.055882f;	val_dir[3448*3 + 1] = -0.149019f;	val_dir[3448*3 + 2] = 0.987254f;
 	val_dir[3449*3 + 0] = 0.074613f;	val_dir[3449*3 + 1] = -0.130573f;	val_dir[3449*3 + 2] = 0.988627f;
 	val_dir[3450*3 + 0] = 0.093332f;	val_dir[3450*3 + 1] = -0.111998f;	val_dir[3450*3 + 2] = 0.989316f;
 	val_dir[3451*3 + 0] = 0.111998f;	val_dir[3451*3 + 1] = -0.093332f;	val_dir[3451*3 + 2] = 0.989316f;
 	val_dir[3452*3 + 0] = 0.130573f;	val_dir[3452*3 + 1] = -0.074613f;	val_dir[3452*3 + 2] = 0.988627f;
 	val_dir[3453*3 + 0] = 0.149019f;	val_dir[3453*3 + 1] = -0.055882f;	val_dir[3453*3 + 2] = 0.987254f;
 	val_dir[3454*3 + 0] = 0.167299f;	val_dir[3454*3 + 1] = -0.037178f;	val_dir[3454*3 + 2] = 0.985205f;
 	val_dir[3455*3 + 0] = 0.185376f;	val_dir[3455*3 + 1] = -0.018538f;	val_dir[3455*3 + 2] = 0.982493f;
 	val_dir[3456*3 + 0] = 0.203216f;	val_dir[3456*3 + 1] = 0.0f;	val_dir[3456*3 + 2] = 0.979134f;
 	val_dir[3457*3 + 0] = 0.228998f;	val_dir[3457*3 + 1] = 0.019083f;	val_dir[3457*3 + 2] = 0.973240f;
 	val_dir[3458*3 + 0] = 0.256235f;	val_dir[3458*3 + 1] = 0.039421f;	val_dir[3458*3 + 2] = 0.965810f;
 	val_dir[3459*3 + 0] = 0.284944f;	val_dir[3459*3 + 1] = 0.061059f;	val_dir[3459*3 + 2] = 0.956597f;
 	val_dir[3460*3 + 0] = 0.315109f;	val_dir[3460*3 + 1] = 0.084029f;	val_dir[3460*3 + 2] = 0.945328f;
 	val_dir[3461*3 + 0] = 0.346681f;	val_dir[3461*3 + 1] = 0.108338f;	val_dir[3461*3 + 2] = 0.931705f;
 	val_dir[3462*3 + 0] = 0.379563f;	val_dir[3462*3 + 1] = 0.133963f;	val_dir[3462*3 + 2] = 0.915416f;
 	val_dir[3463*3 + 0] = 0.413602f;	val_dir[3463*3 + 1] = 0.160845f;	val_dir[3463*3 + 2] = 0.896137f;
 	val_dir[3464*3 + 0] = 0.448583f;	val_dir[3464*3 + 1] = 0.188877f;	val_dir[3464*3 + 2] = 0.873555f;
 	val_dir[3465*3 + 0] = 0.484217f;	val_dir[3465*3 + 1] = 0.217898f;	val_dir[3465*3 + 2] = 0.847381f;
 	val_dir[3466*3 + 0] = 0.520146f;	val_dir[3466*3 + 1] = 0.247689f;	val_dir[3466*3 + 2] = 0.817373f;
 	val_dir[3467*3 + 0] = 0.555939f;	val_dir[3467*3 + 1] = 0.277969f;	val_dir[3467*3 + 2] = 0.783368f;
 	val_dir[3468*3 + 0] = 0.591105f;	val_dir[3468*3 + 1] = 0.308403f;	val_dir[3468*3 + 2] = 0.745307f;
 	val_dir[3469*3 + 0] = 0.625119f;	val_dir[3469*3 + 1] = 0.338606f;	val_dir[3469*3 + 2] = 0.703259f;
 	val_dir[3470*3 + 0] = 0.657440f;	val_dir[3470*3 + 1] = 0.368166f;	val_dir[3470*3 + 2] = 0.657440f;
 	val_dir[3471*3 + 0] = 0.687552f;	val_dir[3471*3 + 1] = 0.396664f;	val_dir[3471*3 + 2] = 0.608219f;
 	val_dir[3472*3 + 0] = 0.714997f;	val_dir[3472*3 + 1] = 0.423702f;	val_dir[3472*3 + 2] = 0.556108f;
 	val_dir[3473*3 + 0] = 0.739407f;	val_dir[3473*3 + 1] = 0.448926f;	val_dir[3473*3 + 2] = 0.501740f;
 	val_dir[3474*3 + 0] = 0.760529f;	val_dir[3474*3 + 1] = 0.472053f;	val_dir[3474*3 + 2] = 0.445827f;
 	val_dir[3475*3 + 0] = 0.778237f;	val_dir[3475*3 + 1] = 0.492883f;	val_dir[3475*3 + 2] = 0.389118f;
 	val_dir[3476*3 + 0] = 0.792530f;	val_dir[3476*3 + 1] = 0.511310f;	val_dir[3476*3 + 2] = 0.332352f;
 	val_dir[3477*3 + 0] = 0.803523f;	val_dir[3477*3 + 1] = 0.527312f;	val_dir[3477*3 + 2] = 0.276211f;
 	val_dir[3478*3 + 0] = 0.811421f;	val_dir[3478*3 + 1] = 0.540947f;	val_dir[3478*3 + 2] = 0.221297f;
 	val_dir[3479*3 + 0] = 0.816497f;	val_dir[3479*3 + 1] = 0.552336f;	val_dir[3479*3 + 2] = 0.168102f;
 	val_dir[3480*3 + 0] = 0.819064f;	val_dir[3480*3 + 1] = 0.561644f;	val_dir[3480*3 + 2] = 0.117009f;
 	val_dir[3481*3 + 0] = 0.819453f;	val_dir[3481*3 + 1] = 0.569064f;	val_dir[3481*3 + 2] = 0.068288f;
 	val_dir[3482*3 + 0] = 0.817992f;	val_dir[3482*3 + 1] = 0.574805f;	val_dir[3482*3 + 2] = 0.022108f;
 	val_dir[3483*3 + 0] = -0.589469f;	val_dir[3483*3 + 1] = -0.807791f;	val_dir[3483*3 + 2] = 0.0f;
 	val_dir[3484*3 + 0] = -0.584898f;	val_dir[3484*3 + 1] = -0.809858f;	val_dir[3484*3 + 2] = 0.044992f;
 	val_dir[3485*3 + 0] = -0.578741f;	val_dir[3485*3 + 1] = -0.810237f;	val_dir[3485*3 + 2] = 0.092599f;
 	val_dir[3486*3 + 0] = -0.570782f;	val_dir[3486*3 + 1] = -0.808608f;	val_dir[3486*3 + 2] = 0.142695f;
 	val_dir[3487*3 + 0] = -0.560809f;	val_dir[3487*3 + 1] = -0.804639f;	val_dir[3487*3 + 2] = 0.195064f;
 	val_dir[3488*3 + 0] = -0.548630f;	val_dir[3488*3 + 1] = -0.798007f;	val_dir[3488*3 + 2] = 0.249377f;
 	val_dir[3489*3 + 0] = -0.534090f;	val_dir[3489*3 + 1] = -0.788419f;	val_dir[3489*3 + 2] = 0.305194f;
 	val_dir[3490*3 + 0] = -0.517088f;	val_dir[3490*3 + 1] = -0.775632f;	val_dir[3490*3 + 2] = 0.361961f;
 	val_dir[3491*3 + 0] = -0.497594f;	val_dir[3491*3 + 1] = -0.759485f;	val_dir[3491*3 + 2] = 0.419026f;
 	val_dir[3492*3 + 0] = -0.475665f;	val_dir[3492*3 + 1] = -0.739923f;	val_dir[3492*3 + 2] = 0.475665f;
 	val_dir[3493*3 + 0] = -0.451451f;	val_dir[3493*3 + 1] = -0.717011f;	val_dir[3493*3 + 2] = 0.531119f;
 	val_dir[3494*3 + 0] = -0.425195f;	val_dir[3494*3 + 1] = -0.690942f;	val_dir[3494*3 + 2] = 0.584643f;
 	val_dir[3495*3 + 0] = -0.397220f;	val_dir[3495*3 + 1] = -0.662034f;	val_dir[3495*3 + 2] = 0.635553f;
 	val_dir[3496*3 + 0] = -0.367912f;	val_dir[3496*3 + 1] = -0.630706f;	val_dir[3496*3 + 2] = 0.683265f;
 	val_dir[3497*3 + 0] = -0.337691f;	val_dir[3497*3 + 1] = -0.597453f;	val_dir[3497*3 + 2] = 0.727334f;
 	val_dir[3498*3 + 0] = -0.306987f;	val_dir[3498*3 + 1] = -0.562809f;	val_dir[3498*3 + 2] = 0.767467f;
 	val_dir[3499*3 + 0] = -0.276211f;	val_dir[3499*3 + 1] = -0.527312f;	val_dir[3499*3 + 2] = 0.803523f;
 	val_dir[3500*3 + 0] = -0.245737f;	val_dir[3500*3 + 1] = -0.491473f;	val_dir[3500*3 + 2] = 0.835504f;
 	val_dir[3501*3 + 0] = -0.215883f;	val_dir[3501*3 + 1] = -0.455752f;	val_dir[3501*3 + 2] = 0.863530f;
 	val_dir[3502*3 + 0] = -0.186908f;	val_dir[3502*3 + 1] = -0.420542f;	val_dir[3502*3 + 2] = 0.887812f;
 	val_dir[3503*3 + 0] = -0.159009f;	val_dir[3503*3 + 1] = -0.386164f;	val_dir[3503*3 + 2] = 0.908622f;
 	val_dir[3504*3 + 0] = -0.132324f;	val_dir[3504*3 + 1] = -0.352865f;	val_dir[3504*3 + 2] = 0.926270f;
 	val_dir[3505*3 + 0] = -0.106941f;	val_dir[3505*3 + 1] = -0.320824f;	val_dir[3505*3 + 2] = 0.941082f;
 	val_dir[3506*3 + 0] = -0.082903f;	val_dir[3506*3 + 1] = -0.290159f;	val_dir[3506*3 + 2] = 0.953381f;
 	val_dir[3507*3 + 0] = -0.060217f;	val_dir[3507*3 + 1] = -0.260941f;	val_dir[3507*3 + 2] = 0.963475f;
 	val_dir[3508*3 + 0] = -0.038866f;	val_dir[3508*3 + 1] = -0.233197f;	val_dir[3508*3 + 2] = 0.971653f;
 	val_dir[3509*3 + 0] = -0.018811f;	val_dir[3509*3 + 1] = -0.206922f;	val_dir[3509*3 + 2] = 0.978177f;
 	val_dir[3510*3 + 0] = 0.0f;	val_dir[3510*3 + 1] = -0.182089f;	val_dir[3510*3 + 2] = 0.983282f;
 	val_dir[3511*3 + 0] = 0.018264f;	val_dir[3511*3 + 1] = -0.164372f;	val_dir[3511*3 + 2] = 0.986229f;
 	val_dir[3512*3 + 0] = 0.036613f;	val_dir[3512*3 + 1] = -0.146450f;	val_dir[3512*3 + 2] = 0.988540f;
 	val_dir[3513*3 + 0] = 0.055011f;	val_dir[3513*3 + 1] = -0.128359f;	val_dir[3513*3 + 2] = 0.990201f;
 	val_dir[3514*3 + 0] = 0.073422f;	val_dir[3514*3 + 1] = -0.110133f;	val_dir[3514*3 + 2] = 0.991201f;
 	val_dir[3515*3 + 0] = 0.091809f;	val_dir[3515*3 + 1] = -0.091809f;	val_dir[3515*3 + 2] = 0.991535f;
 	val_dir[3516*3 + 0] = 0.110133f;	val_dir[3516*3 + 1] = -0.073422f;	val_dir[3516*3 + 2] = 0.991201f;
 	val_dir[3517*3 + 0] = 0.128359f;	val_dir[3517*3 + 1] = -0.055011f;	val_dir[3517*3 + 2] = 0.990201f;
 	val_dir[3518*3 + 0] = 0.146450f;	val_dir[3518*3 + 1] = -0.036613f;	val_dir[3518*3 + 2] = 0.988540f;
 	val_dir[3519*3 + 0] = 0.164372f;	val_dir[3519*3 + 1] = -0.018264f;	val_dir[3519*3 + 2] = 0.986229f;
 	val_dir[3520*3 + 0] = 0.182089f;	val_dir[3520*3 + 1] = 0.0f;	val_dir[3520*3 + 2] = 0.983282f;
 	val_dir[3521*3 + 0] = 0.206922f;	val_dir[3521*3 + 1] = 0.018811f;	val_dir[3521*3 + 2] = 0.978177f;
 	val_dir[3522*3 + 0] = 0.233197f;	val_dir[3522*3 + 1] = 0.038866f;	val_dir[3522*3 + 2] = 0.971653f;
 	val_dir[3523*3 + 0] = 0.260941f;	val_dir[3523*3 + 1] = 0.060217f;	val_dir[3523*3 + 2] = 0.963475f;
 	val_dir[3524*3 + 0] = 0.290159f;	val_dir[3524*3 + 1] = 0.082903f;	val_dir[3524*3 + 2] = 0.953381f;
 	val_dir[3525*3 + 0] = 0.320824f;	val_dir[3525*3 + 1] = 0.106941f;	val_dir[3525*3 + 2] = 0.941082f;
 	val_dir[3526*3 + 0] = 0.352865f;	val_dir[3526*3 + 1] = 0.132324f;	val_dir[3526*3 + 2] = 0.926270f;
 	val_dir[3527*3 + 0] = 0.386164f;	val_dir[3527*3 + 1] = 0.159009f;	val_dir[3527*3 + 2] = 0.908622f;
 	val_dir[3528*3 + 0] = 0.420542f;	val_dir[3528*3 + 1] = 0.186908f;	val_dir[3528*3 + 2] = 0.887812f;
 	val_dir[3529*3 + 0] = 0.455752f;	val_dir[3529*3 + 1] = 0.215883f;	val_dir[3529*3 + 2] = 0.863530f;
 	val_dir[3530*3 + 0] = 0.491473f;	val_dir[3530*3 + 1] = 0.245737f;	val_dir[3530*3 + 2] = 0.835504f;
 	val_dir[3531*3 + 0] = 0.527312f;	val_dir[3531*3 + 1] = 0.276211f;	val_dir[3531*3 + 2] = 0.803523f;
 	val_dir[3532*3 + 0] = 0.562809f;	val_dir[3532*3 + 1] = 0.306987f;	val_dir[3532*3 + 2] = 0.767467f;
 	val_dir[3533*3 + 0] = 0.597453f;	val_dir[3533*3 + 1] = 0.337691f;	val_dir[3533*3 + 2] = 0.727334f;
 	val_dir[3534*3 + 0] = 0.630706f;	val_dir[3534*3 + 1] = 0.367912f;	val_dir[3534*3 + 2] = 0.683265f;
 	val_dir[3535*3 + 0] = 0.662034f;	val_dir[3535*3 + 1] = 0.397220f;	val_dir[3535*3 + 2] = 0.635553f;
 	val_dir[3536*3 + 0] = 0.690942f;	val_dir[3536*3 + 1] = 0.425195f;	val_dir[3536*3 + 2] = 0.584643f;
 	val_dir[3537*3 + 0] = 0.717011f;	val_dir[3537*3 + 1] = 0.451451f;	val_dir[3537*3 + 2] = 0.531119f;
 	val_dir[3538*3 + 0] = 0.739923f;	val_dir[3538*3 + 1] = 0.475665f;	val_dir[3538*3 + 2] = 0.475665f;
 	val_dir[3539*3 + 0] = 0.759485f;	val_dir[3539*3 + 1] = 0.497594f;	val_dir[3539*3 + 2] = 0.419026f;
 	val_dir[3540*3 + 0] = 0.775632f;	val_dir[3540*3 + 1] = 0.517088f;	val_dir[3540*3 + 2] = 0.361961f;
 	val_dir[3541*3 + 0] = 0.788419f;	val_dir[3541*3 + 1] = 0.534090f;	val_dir[3541*3 + 2] = 0.305194f;
 	val_dir[3542*3 + 0] = 0.798007f;	val_dir[3542*3 + 1] = 0.548630f;	val_dir[3542*3 + 2] = 0.249377f;
 	val_dir[3543*3 + 0] = 0.804639f;	val_dir[3543*3 + 1] = 0.560809f;	val_dir[3543*3 + 2] = 0.195064f;
 	val_dir[3544*3 + 0] = 0.808608f;	val_dir[3544*3 + 1] = 0.570782f;	val_dir[3544*3 + 2] = 0.142695f;
 	val_dir[3545*3 + 0] = 0.810237f;	val_dir[3545*3 + 1] = 0.578741f;	val_dir[3545*3 + 2] = 0.092599f;
 	val_dir[3546*3 + 0] = 0.809858f;	val_dir[3546*3 + 1] = 0.584898f;	val_dir[3546*3 + 2] = 0.044992f;
 	val_dir[3547*3 + 0] = 0.807791f;	val_dir[3547*3 + 1] = 0.589469f;	val_dir[3547*3 + 2] = 0.0f;
 	val_dir[3548*3 + 0] = -0.599852f;	val_dir[3548*3 + 1] = -0.799803f;	val_dir[3548*3 + 2] = 0.022217f;
 	val_dir[3549*3 + 0] = -0.594917f;	val_dir[3549*3 + 1] = -0.800850f;	val_dir[3549*3 + 2] = 0.068644f;
 	val_dir[3550*3 + 0] = -0.588276f;	val_dir[3550*3 + 1] = -0.800055f;	val_dir[3550*3 + 2] = 0.117655f;
 	val_dir[3551*3 + 0] = -0.579703f;	val_dir[3551*3 + 1] = -0.797092f;	val_dir[3551*3 + 2] = 0.169080f;
 	val_dir[3552*3 + 0] = -0.568986f;	val_dir[3552*3 + 1] = -0.791633f;	val_dir[3552*3 + 2] = 0.222647f;
 	val_dir[3553*3 + 0] = -0.555939f;	val_dir[3553*3 + 1] = -0.783368f;	val_dir[3553*3 + 2] = 0.277969f;
 	val_dir[3554*3 + 0] = -0.540419f;	val_dir[3554*3 + 1] = -0.772027f;	val_dir[3554*3 + 2] = 0.334545f;
 	val_dir[3555*3 + 0] = -0.522352f;	val_dir[3555*3 + 1] = -0.757410f;	val_dir[3555*3 + 2] = 0.391764f;
 	val_dir[3556*3 + 0] = -0.501740f;	val_dir[3556*3 + 1] = -0.739407f;	val_dir[3556*3 + 2] = 0.448926f;
 	val_dir[3557*3 + 0] = -0.478683f;	val_dir[3557*3 + 1] = -0.718024f;	val_dir[3557*3 + 2] = 0.505276f;
 	val_dir[3558*3 + 0] = -0.453374f;	val_dir[3558*3 + 1] = -0.693395f;	val_dir[3558*3 + 2] = 0.560050f;
 	val_dir[3559*3 + 0] = -0.426099f;	val_dir[3559*3 + 1] = -0.665780f;	val_dir[3559*3 + 2] = 0.612517f;
 	val_dir[3560*3 + 0] = -0.397220f;	val_dir[3560*3 + 1] = -0.635553f;	val_dir[3560*3 + 2] = 0.662034f;
 	val_dir[3561*3 + 0] = -0.367152f;	val_dir[3561*3 + 1] = -0.603178f;	val_dir[3561*3 + 2] = 0.708079f;
 	val_dir[3562*3 + 0] = -0.336332f;	val_dir[3562*3 + 1] = -0.569177f;	val_dir[3562*3 + 2] = 0.750279f;
 	val_dir[3563*3 + 0] = -0.305194f;	val_dir[3563*3 + 1] = -0.534090f;	val_dir[3563*3 + 2] = 0.788419f;
 	val_dir[3564*3 + 0] = -0.274145f;	val_dir[3564*3 + 1] = -0.498445f;	val_dir[3564*3 + 2] = 0.822434f;
 	val_dir[3565*3 + 0] = -0.243541f;	val_dir[3565*3 + 1] = -0.462727f;	val_dir[3565*3 + 2] = 0.852392f;
 	val_dir[3566*3 + 0] = -0.213681f;	val_dir[3566*3 + 1] = -0.427362f;	val_dir[3566*3 + 2] = 0.878466f;
 	val_dir[3567*3 + 0] = -0.184801f;	val_dir[3567*3 + 1] = -0.392703f;	val_dir[3567*3 + 2] = 0.900907f;
 	val_dir[3568*3 + 0] = -0.157075f;	val_dir[3568*3 + 1] = -0.359030f;	val_dir[3568*3 + 2] = 0.920014f;
 	val_dir[3569*3 + 0] = -0.130620f;	val_dir[3569*3 + 1] = -0.326550f;	val_dir[3569*3 + 2] = 0.936111f;
 	val_dir[3570*3 + 0] = -0.105503f;	val_dir[3570*3 + 1] = -0.295409f;	val_dir[3570*3 + 2] = 0.949528f;
 	val_dir[3571*3 + 0] = -0.081752f;	val_dir[3571*3 + 1] = -0.265694f;	val_dir[3571*3 + 2] = 0.960585f;
 	val_dir[3572*3 + 0] = -0.059362f;	val_dir[3572*3 + 1] = -0.237449f;	val_dir[3572*3 + 2] = 0.969584f;
 	val_dir[3573*3 + 0] = -0.038306f;	val_dir[3573*3 + 1] = -0.210683f;	val_dir[3573*3 + 2] = 0.976804f;
 	val_dir[3574*3 + 0] = -0.018538f;	val_dir[3574*3 + 1] = -0.185376f;	val_dir[3574*3 + 2] = 0.982493f;
 	val_dir[3575*3 + 0] = 0.0f;	val_dir[3575*3 + 1] = -0.161489f;	val_dir[3575*3 + 2] = 0.986875f;
 	val_dir[3576*3 + 0] = 0.017990f;	val_dir[3576*3 + 1] = -0.143917f;	val_dir[3576*3 + 2] = 0.989426f;
 	val_dir[3577*3 + 0] = 0.036049f;	val_dir[3577*3 + 1] = -0.126172f;	val_dir[3577*3 + 2] = 0.991353f;
 	val_dir[3578*3 + 0] = 0.054144f;	val_dir[3578*3 + 1] = -0.108288f;	val_dir[3578*3 + 2] = 0.992644f;
 	val_dir[3579*3 + 0] = 0.072239f;	val_dir[3579*3 + 1] = -0.090299f;	val_dir[3579*3 + 2] = 0.993291f;
 	val_dir[3580*3 + 0] = 0.090299f;	val_dir[3580*3 + 1] = -0.072239f;	val_dir[3580*3 + 2] = 0.993291f;
 	val_dir[3581*3 + 0] = 0.108288f;	val_dir[3581*3 + 1] = -0.054144f;	val_dir[3581*3 + 2] = 0.992644f;
 	val_dir[3582*3 + 0] = 0.126172f;	val_dir[3582*3 + 1] = -0.036049f;	val_dir[3582*3 + 2] = 0.991353f;
 	val_dir[3583*3 + 0] = 0.143917f;	val_dir[3583*3 + 1] = -0.017990f;	val_dir[3583*3 + 2] = 0.989426f;
 	val_dir[3584*3 + 0] = 0.161489f;	val_dir[3584*3 + 1] = 0.0f;	val_dir[3584*3 + 2] = 0.986875f;
 	val_dir[3585*3 + 0] = 0.185376f;	val_dir[3585*3 + 1] = 0.018538f;	val_dir[3585*3 + 2] = 0.982493f;
 	val_dir[3586*3 + 0] = 0.210683f;	val_dir[3586*3 + 1] = 0.038306f;	val_dir[3586*3 + 2] = 0.976804f;
 	val_dir[3587*3 + 0] = 0.237449f;	val_dir[3587*3 + 1] = 0.059362f;	val_dir[3587*3 + 2] = 0.969584f;
 	val_dir[3588*3 + 0] = 0.265694f;	val_dir[3588*3 + 1] = 0.081752f;	val_dir[3588*3 + 2] = 0.960585f;
 	val_dir[3589*3 + 0] = 0.295409f;	val_dir[3589*3 + 1] = 0.105503f;	val_dir[3589*3 + 2] = 0.949528f;
 	val_dir[3590*3 + 0] = 0.326550f;	val_dir[3590*3 + 1] = 0.130620f;	val_dir[3590*3 + 2] = 0.936111f;
 	val_dir[3591*3 + 0] = 0.359030f;	val_dir[3591*3 + 1] = 0.157075f;	val_dir[3591*3 + 2] = 0.920014f;
 	val_dir[3592*3 + 0] = 0.392703f;	val_dir[3592*3 + 1] = 0.184801f;	val_dir[3592*3 + 2] = 0.900907f;
 	val_dir[3593*3 + 0] = 0.427362f;	val_dir[3593*3 + 1] = 0.213681f;	val_dir[3593*3 + 2] = 0.878466f;
 	val_dir[3594*3 + 0] = 0.462727f;	val_dir[3594*3 + 1] = 0.243541f;	val_dir[3594*3 + 2] = 0.852392f;
 	val_dir[3595*3 + 0] = 0.498445f;	val_dir[3595*3 + 1] = 0.274145f;	val_dir[3595*3 + 2] = 0.822434f;
 	val_dir[3596*3 + 0] = 0.534090f;	val_dir[3596*3 + 1] = 0.305194f;	val_dir[3596*3 + 2] = 0.788419f;
 	val_dir[3597*3 + 0] = 0.569177f;	val_dir[3597*3 + 1] = 0.336332f;	val_dir[3597*3 + 2] = 0.750279f;
 	val_dir[3598*3 + 0] = 0.603178f;	val_dir[3598*3 + 1] = 0.367152f;	val_dir[3598*3 + 2] = 0.708079f;
 	val_dir[3599*3 + 0] = 0.635553f;	val_dir[3599*3 + 1] = 0.397220f;	val_dir[3599*3 + 2] = 0.662034f;
 	val_dir[3600*3 + 0] = 0.665780f;	val_dir[3600*3 + 1] = 0.426099f;	val_dir[3600*3 + 2] = 0.612517f;
 	val_dir[3601*3 + 0] = 0.693395f;	val_dir[3601*3 + 1] = 0.453374f;	val_dir[3601*3 + 2] = 0.560050f;
 	val_dir[3602*3 + 0] = 0.718024f;	val_dir[3602*3 + 1] = 0.478683f;	val_dir[3602*3 + 2] = 0.505276f;
 	val_dir[3603*3 + 0] = 0.739407f;	val_dir[3603*3 + 1] = 0.501740f;	val_dir[3603*3 + 2] = 0.448926f;
 	val_dir[3604*3 + 0] = 0.757410f;	val_dir[3604*3 + 1] = 0.522352f;	val_dir[3604*3 + 2] = 0.391764f;
 	val_dir[3605*3 + 0] = 0.772027f;	val_dir[3605*3 + 1] = 0.540419f;	val_dir[3605*3 + 2] = 0.334545f;
 	val_dir[3606*3 + 0] = 0.783368f;	val_dir[3606*3 + 1] = 0.555939f;	val_dir[3606*3 + 2] = 0.277969f;
 	val_dir[3607*3 + 0] = 0.791633f;	val_dir[3607*3 + 1] = 0.568986f;	val_dir[3607*3 + 2] = 0.222647f;
 	val_dir[3608*3 + 0] = 0.797092f;	val_dir[3608*3 + 1] = 0.579703f;	val_dir[3608*3 + 2] = 0.169080f;
 	val_dir[3609*3 + 0] = 0.800055f;	val_dir[3609*3 + 1] = 0.588276f;	val_dir[3609*3 + 2] = 0.117655f;
 	val_dir[3610*3 + 0] = 0.800850f;	val_dir[3610*3 + 1] = 0.594917f;	val_dir[3610*3 + 2] = 0.068644f;
 	val_dir[3611*3 + 0] = 0.799803f;	val_dir[3611*3 + 1] = 0.599852f;	val_dir[3611*3 + 2] = 0.022217f;
 	val_dir[3612*3 + 0] = -0.613941f;	val_dir[3612*3 + 1] = -0.789352f;	val_dir[3612*3 + 2] = 0.0f;
 	val_dir[3613*3 + 0] = -0.610179f;	val_dir[3613*3 + 1] = -0.790973f;	val_dir[3613*3 + 2] = 0.045198f;
 	val_dir[3614*3 + 0] = -0.604815f;	val_dir[3614*3 + 1] = -0.790912f;	val_dir[3614*3 + 2] = 0.093048f;
 	val_dir[3615*3 + 0] = -0.597614f;	val_dir[3615*3 + 1] = -0.788851f;	val_dir[3615*3 + 2] = 0.143427f;
 	val_dir[3616*3 + 0] = -0.588348f;	val_dir[3616*3 + 1] = -0.784465f;	val_dir[3616*3 + 2] = 0.196116f;
 	val_dir[3617*3 + 0] = -0.576805f;	val_dir[3617*3 + 1] = -0.777433f;	val_dir[3617*3 + 2] = 0.250785f;
 	val_dir[3618*3 + 0] = -0.562809f;	val_dir[3618*3 + 1] = -0.767467f;	val_dir[3618*3 + 2] = 0.306987f;
 	val_dir[3619*3 + 0] = -0.546238f;	val_dir[3619*3 + 1] = -0.754329f;	val_dir[3619*3 + 2] = 0.364159f;
 	val_dir[3620*3 + 0] = -0.527046f;	val_dir[3620*3 + 1] = -0.737865f;	val_dir[3620*3 + 2] = 0.421637f;
 	val_dir[3621*3 + 0] = -0.505276f;	val_dir[3621*3 + 1] = -0.718024f;	val_dir[3621*3 + 2] = 0.478683f;
 	val_dir[3622*3 + 0] = -0.481070f;	val_dir[3622*3 + 1] = -0.694879f;	val_dir[3622*3 + 2] = 0.534522f;
 	val_dir[3623*3 + 0] = -0.454669f;	val_dir[3623*3 + 1] = -0.668631f;	val_dir[3623*3 + 2] = 0.588395f;
 	val_dir[3624*3 + 0] = -0.426401f;	val_dir[3624*3 + 1] = -0.639602f;	val_dir[3624*3 + 2] = 0.639602f;
 	val_dir[3625*3 + 0] = -0.396664f;	val_dir[3625*3 + 1] = -0.608219f;	val_dir[3625*3 + 2] = 0.687552f;
 	val_dir[3626*3 + 0] = -0.365896f;	val_dir[3626*3 + 1] = -0.574979f;	val_dir[3626*3 + 2] = 0.731792f;
 	val_dir[3627*3 + 0] = -0.334545f;	val_dir[3627*3 + 1] = -0.540419f;	val_dir[3627*3 + 2] = 0.772027f;
 	val_dir[3628*3 + 0] = -0.303046f;	val_dir[3628*3 + 1] = -0.505076f;	val_dir[3628*3 + 2] = 0.808122f;
 	val_dir[3629*3 + 0] = -0.271791f;	val_dir[3629*3 + 1] = -0.469458f;	val_dir[3629*3 + 2] = 0.840083f;
 	val_dir[3630*3 + 0] = -0.241121f;	val_dir[3630*3 + 1] = -0.434019f;	val_dir[3630*3 + 2] = 0.868037f;
 	val_dir[3631*3 + 0] = -0.211312f;	val_dir[3631*3 + 1] = -0.399145f;	val_dir[3631*3 + 2] = 0.892206f;
 	val_dir[3632*3 + 0] = -0.182574f;	val_dir[3632*3 + 1] = -0.365148f;	val_dir[3632*3 + 2] = 0.912871f;
 	val_dir[3633*3 + 0] = -0.155059f;	val_dir[3633*3 + 1] = -0.332269f;	val_dir[3633*3 + 2] = 0.930352f;
 	val_dir[3634*3 + 0] = -0.128861f;	val_dir[3634*3 + 1] = -0.300676f;	val_dir[3634*3 + 2] = 0.944981f;
 	val_dir[3635*3 + 0] = -0.104031f;	val_dir[3635*3 + 1] = -0.270481f;	val_dir[3635*3 + 2] = 0.957088f;
 	val_dir[3636*3 + 0] = -0.080582f;	val_dir[3636*3 + 1] = -0.241747f;	val_dir[3636*3 + 2] = 0.966988f;
 	val_dir[3637*3 + 0] = -0.058498f;	val_dir[3637*3 + 1] = -0.214494f;	val_dir[3637*3 + 2] = 0.974972f;
 	val_dir[3638*3 + 0] = -0.037743f;	val_dir[3638*3 + 1] = -0.188713f;	val_dir[3638*3 + 2] = 0.981307f;
 	val_dir[3639*3 + 0] = -0.018264f;	val_dir[3639*3 + 1] = -0.164372f;	val_dir[3639*3 + 2] = 0.986229f;
 	val_dir[3640*3 + 0] = 0.0f;	val_dir[3640*3 + 1] = -0.141421f;	val_dir[3640*3 + 2] = 0.989949f;
 	val_dir[3641*3 + 0] = 0.017716f;	val_dir[3641*3 + 1] = -0.124015f;	val_dir[3641*3 + 2] = 0.992122f;
 	val_dir[3642*3 + 0] = 0.035489f;	val_dir[3642*3 + 1] = -0.106466f;	val_dir[3642*3 + 2] = 0.993683f;
 	val_dir[3643*3 + 0] = 0.053283f;	val_dir[3643*3 + 1] = -0.088806f;	val_dir[3643*3 + 2] = 0.994623f;
 	val_dir[3644*3 + 0] = 0.071067f;	val_dir[3644*3 + 1] = -0.071067f;	val_dir[3644*3 + 2] = 0.994937f;
 	val_dir[3645*3 + 0] = 0.088806f;	val_dir[3645*3 + 1] = -0.053283f;	val_dir[3645*3 + 2] = 0.994623f;
 	val_dir[3646*3 + 0] = 0.106466f;	val_dir[3646*3 + 1] = -0.035489f;	val_dir[3646*3 + 2] = 0.993683f;
 	val_dir[3647*3 + 0] = 0.124015f;	val_dir[3647*3 + 1] = -0.017716f;	val_dir[3647*3 + 2] = 0.992122f;
 	val_dir[3648*3 + 0] = 0.141421f;	val_dir[3648*3 + 1] = 0.0f;	val_dir[3648*3 + 2] = 0.989949f;
 	val_dir[3649*3 + 0] = 0.164372f;	val_dir[3649*3 + 1] = 0.018264f;	val_dir[3649*3 + 2] = 0.986229f;
 	val_dir[3650*3 + 0] = 0.188713f;	val_dir[3650*3 + 1] = 0.037743f;	val_dir[3650*3 + 2] = 0.981307f;
 	val_dir[3651*3 + 0] = 0.214494f;	val_dir[3651*3 + 1] = 0.058498f;	val_dir[3651*3 + 2] = 0.974972f;
 	val_dir[3652*3 + 0] = 0.241747f;	val_dir[3652*3 + 1] = 0.080582f;	val_dir[3652*3 + 2] = 0.966988f;
 	val_dir[3653*3 + 0] = 0.270481f;	val_dir[3653*3 + 1] = 0.104031f;	val_dir[3653*3 + 2] = 0.957088f;
 	val_dir[3654*3 + 0] = 0.300676f;	val_dir[3654*3 + 1] = 0.128861f;	val_dir[3654*3 + 2] = 0.944981f;
 	val_dir[3655*3 + 0] = 0.332269f;	val_dir[3655*3 + 1] = 0.155059f;	val_dir[3655*3 + 2] = 0.930352f;
 	val_dir[3656*3 + 0] = 0.365148f;	val_dir[3656*3 + 1] = 0.182574f;	val_dir[3656*3 + 2] = 0.912871f;
 	val_dir[3657*3 + 0] = 0.399145f;	val_dir[3657*3 + 1] = 0.211312f;	val_dir[3657*3 + 2] = 0.892206f;
 	val_dir[3658*3 + 0] = 0.434019f;	val_dir[3658*3 + 1] = 0.241121f;	val_dir[3658*3 + 2] = 0.868037f;
 	val_dir[3659*3 + 0] = 0.469458f;	val_dir[3659*3 + 1] = 0.271791f;	val_dir[3659*3 + 2] = 0.840083f;
 	val_dir[3660*3 + 0] = 0.505076f;	val_dir[3660*3 + 1] = 0.303046f;	val_dir[3660*3 + 2] = 0.808122f;
 	val_dir[3661*3 + 0] = 0.540419f;	val_dir[3661*3 + 1] = 0.334545f;	val_dir[3661*3 + 2] = 0.772027f;
 	val_dir[3662*3 + 0] = 0.574979f;	val_dir[3662*3 + 1] = 0.365896f;	val_dir[3662*3 + 2] = 0.731792f;
 	val_dir[3663*3 + 0] = 0.608219f;	val_dir[3663*3 + 1] = 0.396664f;	val_dir[3663*3 + 2] = 0.687552f;
 	val_dir[3664*3 + 0] = 0.639602f;	val_dir[3664*3 + 1] = 0.426401f;	val_dir[3664*3 + 2] = 0.639602f;
 	val_dir[3665*3 + 0] = 0.668631f;	val_dir[3665*3 + 1] = 0.454669f;	val_dir[3665*3 + 2] = 0.588395f;
 	val_dir[3666*3 + 0] = 0.694879f;	val_dir[3666*3 + 1] = 0.481070f;	val_dir[3666*3 + 2] = 0.534522f;
 	val_dir[3667*3 + 0] = 0.718024f;	val_dir[3667*3 + 1] = 0.505276f;	val_dir[3667*3 + 2] = 0.478683f;
 	val_dir[3668*3 + 0] = 0.737865f;	val_dir[3668*3 + 1] = 0.527046f;	val_dir[3668*3 + 2] = 0.421637f;
 	val_dir[3669*3 + 0] = 0.754329f;	val_dir[3669*3 + 1] = 0.546238f;	val_dir[3669*3 + 2] = 0.364159f;
 	val_dir[3670*3 + 0] = 0.767467f;	val_dir[3670*3 + 1] = 0.562809f;	val_dir[3670*3 + 2] = 0.306987f;
 	val_dir[3671*3 + 0] = 0.777433f;	val_dir[3671*3 + 1] = 0.576805f;	val_dir[3671*3 + 2] = 0.250785f;
 	val_dir[3672*3 + 0] = 0.784465f;	val_dir[3672*3 + 1] = 0.588348f;	val_dir[3672*3 + 2] = 0.196116f;
 	val_dir[3673*3 + 0] = 0.788851f;	val_dir[3673*3 + 1] = 0.597614f;	val_dir[3673*3 + 2] = 0.143427f;
 	val_dir[3674*3 + 0] = 0.790912f;	val_dir[3674*3 + 1] = 0.604815f;	val_dir[3674*3 + 2] = 0.093048f;
 	val_dir[3675*3 + 0] = 0.790973f;	val_dir[3675*3 + 1] = 0.610179f;	val_dir[3675*3 + 2] = 0.045198f;
 	val_dir[3676*3 + 0] = 0.789352f;	val_dir[3676*3 + 1] = 0.613941f;	val_dir[3676*3 + 2] = 0.0f;
 	val_dir[3677*3 + 0] = -0.624540f;	val_dir[3677*3 + 1] = -0.780675f;	val_dir[3677*3 + 2] = 0.022305f;
 	val_dir[3678*3 + 0] = -0.620403f;	val_dir[3678*3 + 1] = -0.781248f;	val_dir[3678*3 + 2] = 0.068934f;
 	val_dir[3679*3 + 0] = -0.614535f;	val_dir[3679*3 + 1] = -0.779987f;	val_dir[3679*3 + 2] = 0.118180f;
 	val_dir[3680*3 + 0] = -0.606696f;	val_dir[3680*3 + 1] = -0.776571f;	val_dir[3680*3 + 2] = 0.169875f;
 	val_dir[3681*3 + 0] = -0.596653f;	val_dir[3681*3 + 1] = -0.770677f;	val_dir[3681*3 + 2] = 0.223745f;
 	val_dir[3682*3 + 0] = -0.584201f;	val_dir[3682*3 + 1] = -0.762001f;	val_dir[3682*3 + 2] = 0.27940f;
 	val_dir[3683*3 + 0] = -0.569177f;	val_dir[3683*3 + 1] = -0.750279f;	val_dir[3683*3 + 2] = 0.336332f;
 	val_dir[3684*3 + 0] = -0.551487f;	val_dir[3684*3 + 1] = -0.735316f;	val_dir[3684*3 + 2] = 0.393919f;
 	val_dir[3685*3 + 0] = -0.531119f;	val_dir[3685*3 + 1] = -0.717011f;	val_dir[3685*3 + 2] = 0.451451f;
 	val_dir[3686*3 + 0] = -0.508159f;	val_dir[3686*3 + 1] = -0.695376f;	val_dir[3686*3 + 2] = 0.508159f;
 	val_dir[3687*3 + 0] = -0.482798f;	val_dir[3687*3 + 1] = -0.670552f;	val_dir[3687*3 + 2] = 0.563264f;
 	val_dir[3688*3 + 0] = -0.455321f;	val_dir[3688*3 + 1] = -0.642806f;	val_dir[3688*3 + 2] = 0.616022f;
 	val_dir[3689*3 + 0] = -0.426099f;	val_dir[3689*3 + 1] = -0.612517f;	val_dir[3689*3 + 2] = 0.665780f;
 	val_dir[3690*3 + 0] = -0.395559f;	val_dir[3690*3 + 1] = -0.580154f;	val_dir[3690*3 + 2] = 0.712007f;
 	val_dir[3691*3 + 0] = -0.364159f;	val_dir[3691*3 + 1] = -0.546238f;	val_dir[3691*3 + 2] = 0.754329f;
 	val_dir[3692*3 + 0] = -0.332352f;	val_dir[3692*3 + 1] = -0.511310f;	val_dir[3692*3 + 2] = 0.792530f;
 	val_dir[3693*3 + 0] = -0.300564f;	val_dir[3693*3 + 1] = -0.475893f;	val_dir[3693*3 + 2] = 0.826551f;
 	val_dir[3694*3 + 0] = -0.269175f;	val_dir[3694*3 + 1] = -0.440468f;	val_dir[3694*3 + 2] = 0.856465f;
 	val_dir[3695*3 + 0] = -0.238501f;	val_dir[3695*3 + 1] = -0.405452f;	val_dir[3695*3 + 2] = 0.882454f;
 	val_dir[3696*3 + 0] = -0.208795f;	val_dir[3696*3 + 1] = -0.371191f;	val_dir[3696*3 + 2] = 0.904777f;
 	val_dir[3697*3 + 0] = -0.180242f;	val_dir[3697*3 + 1] = -0.337954f;	val_dir[3697*3 + 2] = 0.923742f;
 	val_dir[3698*3 + 0] = -0.152971f;	val_dir[3698*3 + 1] = -0.305942f;	val_dir[3698*3 + 2] = 0.939680f;
 	val_dir[3699*3 + 0] = -0.127057f;	val_dir[3699*3 + 1] = -0.275290f;	val_dir[3699*3 + 2] = 0.952928f;
 	val_dir[3700*3 + 0] = -0.102533f;	val_dir[3700*3 + 1] = -0.246079f;	val_dir[3700*3 + 2] = 0.963811f;
 	val_dir[3701*3 + 0] = -0.079399f;	val_dir[3701*3 + 1] = -0.218347f;	val_dir[3701*3 + 2] = 0.972636f;
 	val_dir[3702*3 + 0] = -0.057628f;	val_dir[3702*3 + 1] = -0.192095f;	val_dir[3702*3 + 2] = 0.979683f;
 	val_dir[3703*3 + 0] = -0.037178f;	val_dir[3703*3 + 1] = -0.167299f;	val_dir[3703*3 + 2] = 0.985205f;
 	val_dir[3704*3 + 0] = -0.017990f;	val_dir[3704*3 + 1] = -0.143917f;	val_dir[3704*3 + 2] = 0.989426f;
 	val_dir[3705*3 + 0] = 0.0f;	val_dir[3705*3 + 1] = -0.121891f;	val_dir[3705*3 + 2] = 0.992543f;
 	val_dir[3706*3 + 0] = 0.017445f;	val_dir[3706*3 + 1] = -0.104669f;	val_dir[3706*3 + 2] = 0.994354f;
 	val_dir[3707*3 + 0] = 0.034932f;	val_dir[3707*3 + 1] = -0.087330f;	val_dir[3707*3 + 2] = 0.995567f;
 	val_dir[3708*3 + 0] = 0.052430f;	val_dir[3708*3 + 1] = -0.069907f;	val_dir[3708*3 + 2] = 0.996175f;
 	val_dir[3709*3 + 0] = 0.069907f;	val_dir[3709*3 + 1] = -0.052430f;	val_dir[3709*3 + 2] = 0.996175f;
 	val_dir[3710*3 + 0] = 0.087330f;	val_dir[3710*3 + 1] = -0.034932f;	val_dir[3710*3 + 2] = 0.995567f;
 	val_dir[3711*3 + 0] = 0.104669f;	val_dir[3711*3 + 1] = -0.017445f;	val_dir[3711*3 + 2] = 0.994354f;
 	val_dir[3712*3 + 0] = 0.121891f;	val_dir[3712*3 + 1] = 0.0f;	val_dir[3712*3 + 2] = 0.992543f;
 	val_dir[3713*3 + 0] = 0.143917f;	val_dir[3713*3 + 1] = 0.017990f;	val_dir[3713*3 + 2] = 0.989426f;
 	val_dir[3714*3 + 0] = 0.167299f;	val_dir[3714*3 + 1] = 0.037178f;	val_dir[3714*3 + 2] = 0.985205f;
 	val_dir[3715*3 + 0] = 0.192095f;	val_dir[3715*3 + 1] = 0.057628f;	val_dir[3715*3 + 2] = 0.979683f;
 	val_dir[3716*3 + 0] = 0.218347f;	val_dir[3716*3 + 1] = 0.079399f;	val_dir[3716*3 + 2] = 0.972636f;
 	val_dir[3717*3 + 0] = 0.246079f;	val_dir[3717*3 + 1] = 0.102533f;	val_dir[3717*3 + 2] = 0.963811f;
 	val_dir[3718*3 + 0] = 0.275290f;	val_dir[3718*3 + 1] = 0.127057f;	val_dir[3718*3 + 2] = 0.952928f;
 	val_dir[3719*3 + 0] = 0.305942f;	val_dir[3719*3 + 1] = 0.152971f;	val_dir[3719*3 + 2] = 0.939680f;
 	val_dir[3720*3 + 0] = 0.337954f;	val_dir[3720*3 + 1] = 0.180242f;	val_dir[3720*3 + 2] = 0.923742f;
 	val_dir[3721*3 + 0] = 0.371191f;	val_dir[3721*3 + 1] = 0.208795f;	val_dir[3721*3 + 2] = 0.904777f;
 	val_dir[3722*3 + 0] = 0.405452f;	val_dir[3722*3 + 1] = 0.238501f;	val_dir[3722*3 + 2] = 0.882454f;
 	val_dir[3723*3 + 0] = 0.440468f;	val_dir[3723*3 + 1] = 0.269175f;	val_dir[3723*3 + 2] = 0.856465f;
 	val_dir[3724*3 + 0] = 0.475893f;	val_dir[3724*3 + 1] = 0.300564f;	val_dir[3724*3 + 2] = 0.826551f;
 	val_dir[3725*3 + 0] = 0.511310f;	val_dir[3725*3 + 1] = 0.332352f;	val_dir[3725*3 + 2] = 0.792530f;
 	val_dir[3726*3 + 0] = 0.546238f;	val_dir[3726*3 + 1] = 0.364159f;	val_dir[3726*3 + 2] = 0.754329f;
 	val_dir[3727*3 + 0] = 0.580154f;	val_dir[3727*3 + 1] = 0.395559f;	val_dir[3727*3 + 2] = 0.712007f;
 	val_dir[3728*3 + 0] = 0.612517f;	val_dir[3728*3 + 1] = 0.426099f;	val_dir[3728*3 + 2] = 0.665780f;
 	val_dir[3729*3 + 0] = 0.642806f;	val_dir[3729*3 + 1] = 0.455321f;	val_dir[3729*3 + 2] = 0.616022f;
 	val_dir[3730*3 + 0] = 0.670552f;	val_dir[3730*3 + 1] = 0.482798f;	val_dir[3730*3 + 2] = 0.563264f;
 	val_dir[3731*3 + 0] = 0.695376f;	val_dir[3731*3 + 1] = 0.508159f;	val_dir[3731*3 + 2] = 0.508159f;
 	val_dir[3732*3 + 0] = 0.717011f;	val_dir[3732*3 + 1] = 0.531119f;	val_dir[3732*3 + 2] = 0.451451f;
 	val_dir[3733*3 + 0] = 0.735316f;	val_dir[3733*3 + 1] = 0.551487f;	val_dir[3733*3 + 2] = 0.393919f;
 	val_dir[3734*3 + 0] = 0.750279f;	val_dir[3734*3 + 1] = 0.569177f;	val_dir[3734*3 + 2] = 0.336332f;
 	val_dir[3735*3 + 0] = 0.762001f;	val_dir[3735*3 + 1] = 0.584201f;	val_dir[3735*3 + 2] = 0.27940f;
 	val_dir[3736*3 + 0] = 0.770677f;	val_dir[3736*3 + 1] = 0.596653f;	val_dir[3736*3 + 2] = 0.223745f;
 	val_dir[3737*3 + 0] = 0.776571f;	val_dir[3737*3 + 1] = 0.606696f;	val_dir[3737*3 + 2] = 0.169875f;
 	val_dir[3738*3 + 0] = 0.779987f;	val_dir[3738*3 + 1] = 0.614535f;	val_dir[3738*3 + 2] = 0.118180f;
 	val_dir[3739*3 + 0] = 0.781248f;	val_dir[3739*3 + 1] = 0.620403f;	val_dir[3739*3 + 2] = 0.068934f;
 	val_dir[3740*3 + 0] = 0.780675f;	val_dir[3740*3 + 1] = 0.624540f;	val_dir[3740*3 + 2] = 0.022305f;
 	val_dir[3741*3 + 0] = -0.638018f;	val_dir[3741*3 + 1] = -0.770022f;	val_dir[3741*3 + 2] = 0.0f;
 	val_dir[3742*3 + 0] = -0.635053f;	val_dir[3742*3 + 1] = -0.771136f;	val_dir[3742*3 + 2] = 0.045361f;
 	val_dir[3743*3 + 0] = -0.630470f;	val_dir[3743*3 + 1] = -0.770574f;	val_dir[3743*3 + 2] = 0.093403f;
 	val_dir[3744*3 + 0] = -0.624020f;	val_dir[3744*3 + 1] = -0.768025f;	val_dir[3744*3 + 2] = 0.144005f;
 	val_dir[3745*3 + 0] = -0.615457f;	val_dir[3745*3 + 1] = -0.763167f;	val_dir[3745*3 + 2] = 0.196946f;
 	val_dir[3746*3 + 0] = -0.604551f;	val_dir[3746*3 + 1] = -0.755689f;	val_dir[3746*3 + 2] = 0.251896f;
 	val_dir[3747*3 + 0] = -0.591105f;	val_dir[3747*3 + 1] = -0.745307f;	val_dir[3747*3 + 2] = 0.308403f;
 	val_dir[3748*3 + 0] = -0.574979f;	val_dir[3748*3 + 1] = -0.731792f;	val_dir[3748*3 + 2] = 0.365896f;
 	val_dir[3749*3 + 0] = -0.556108f;	val_dir[3749*3 + 1] = -0.714997f;	val_dir[3749*3 + 2] = 0.423702f;
 	val_dir[3750*3 + 0] = -0.534522f;	val_dir[3750*3 + 1] = -0.694879f;	val_dir[3750*3 + 2] = 0.481070f;
 	val_dir[3751*3 + 0] = -0.510355f;	val_dir[3751*3 + 1] = -0.671519f;	val_dir[3751*3 + 2] = 0.537215f;
 	val_dir[3752*3 + 0] = -0.483843f;	val_dir[3752*3 + 1] = -0.645124f;	val_dir[3752*3 + 2] = 0.591364f;
 	val_dir[3753*3 + 0] = -0.455321f;	val_dir[3753*3 + 1] = -0.616022f;	val_dir[3753*3 + 2] = 0.642806f;
 	val_dir[3754*3 + 0] = -0.425195f;	val_dir[3754*3 + 1] = -0.584643f;	val_dir[3754*3 + 2] = 0.690942f;
 	val_dir[3755*3 + 0] = -0.393919f;	val_dir[3755*3 + 1] = -0.551487f;	val_dir[3755*3 + 2] = 0.735316f;
 	val_dir[3756*3 + 0] = -0.361961f;	val_dir[3756*3 + 1] = -0.517088f;	val_dir[3756*3 + 2] = 0.775632f;
 	val_dir[3757*3 + 0] = -0.329775f;	val_dir[3757*3 + 1] = -0.481979f;	val_dir[3757*3 + 2] = 0.811754f;
 	val_dir[3758*3 + 0] = -0.297775f;	val_dir[3758*3 + 1] = -0.446662f;	val_dir[3758*3 + 2] = 0.843696f;
 	val_dir[3759*3 + 0] = -0.266320f;	val_dir[3759*3 + 1] = -0.411585f;	val_dir[3759*3 + 2] = 0.871592f;
 	val_dir[3760*3 + 0] = -0.235702f;	val_dir[3760*3 + 1] = -0.377124f;	val_dir[3760*3 + 2] = 0.895669f;
 	val_dir[3761*3 + 0] = -0.206149f;	val_dir[3761*3 + 1] = -0.343582f;	val_dir[3761*3 + 2] = 0.916217f;
 	val_dir[3762*3 + 0] = -0.177822f;	val_dir[3762*3 + 1] = -0.311188f;	val_dir[3762*3 + 2] = 0.933564f;
 	val_dir[3763*3 + 0] = -0.150826f;	val_dir[3763*3 + 1] = -0.280105f;	val_dir[3763*3 + 2] = 0.948047f;
 	val_dir[3764*3 + 0] = -0.125218f;	val_dir[3764*3 + 1] = -0.250435f;	val_dir[3764*3 + 2] = 0.960001f;
 	val_dir[3765*3 + 0] = -0.101015f;	val_dir[3765*3 + 1] = -0.222234f;	val_dir[3765*3 + 2] = 0.969746f;
 	val_dir[3766*3 + 0] = -0.078206f;	val_dir[3766*3 + 1] = -0.195515f;	val_dir[3766*3 + 2] = 0.977577f;
 	val_dir[3767*3 + 0] = -0.056756f;	val_dir[3767*3 + 1] = -0.170267f;	val_dir[3767*3 + 2] = 0.983762f;
 	val_dir[3768*3 + 0] = -0.036613f;	val_dir[3768*3 + 1] = -0.146450f;	val_dir[3768*3 + 2] = 0.988540f;
 	val_dir[3769*3 + 0] = -0.017716f;	val_dir[3769*3 + 1] = -0.124015f;	val_dir[3769*3 + 2] = 0.992122f;
 	val_dir[3770*3 + 0] = 0.0f;	val_dir[3770*3 + 1] = -0.102899f;	val_dir[3770*3 + 2] = 0.994692f;
 	val_dir[3771*3 + 0] = 0.017175f;	val_dir[3771*3 + 1] = -0.085876f;	val_dir[3771*3 + 2] = 0.996158f;
 	val_dir[3772*3 + 0] = 0.034381f;	val_dir[3772*3 + 1] = -0.068761f;	val_dir[3772*3 + 2] = 0.997041f;
 	val_dir[3773*3 + 0] = 0.051586f;	val_dir[3773*3 + 1] = -0.051586f;	val_dir[3773*3 + 2] = 0.997335f;
 	val_dir[3774*3 + 0] = 0.068761f;	val_dir[3774*3 + 1] = -0.034381f;	val_dir[3774*3 + 2] = 0.997041f;
 	val_dir[3775*3 + 0] = 0.085876f;	val_dir[3775*3 + 1] = -0.017175f;	val_dir[3775*3 + 2] = 0.996158f;
 	val_dir[3776*3 + 0] = 0.102899f;	val_dir[3776*3 + 1] = 0.0f;	val_dir[3776*3 + 2] = 0.994692f;
 	val_dir[3777*3 + 0] = 0.124015f;	val_dir[3777*3 + 1] = 0.017716f;	val_dir[3777*3 + 2] = 0.992122f;
 	val_dir[3778*3 + 0] = 0.146450f;	val_dir[3778*3 + 1] = 0.036613f;	val_dir[3778*3 + 2] = 0.988540f;
 	val_dir[3779*3 + 0] = 0.170267f;	val_dir[3779*3 + 1] = 0.056756f;	val_dir[3779*3 + 2] = 0.983762f;
 	val_dir[3780*3 + 0] = 0.195515f;	val_dir[3780*3 + 1] = 0.078206f;	val_dir[3780*3 + 2] = 0.977577f;
 	val_dir[3781*3 + 0] = 0.222234f;	val_dir[3781*3 + 1] = 0.101015f;	val_dir[3781*3 + 2] = 0.969746f;
 	val_dir[3782*3 + 0] = 0.250435f;	val_dir[3782*3 + 1] = 0.125218f;	val_dir[3782*3 + 2] = 0.960001f;
 	val_dir[3783*3 + 0] = 0.280105f;	val_dir[3783*3 + 1] = 0.150826f;	val_dir[3783*3 + 2] = 0.948047f;
 	val_dir[3784*3 + 0] = 0.311188f;	val_dir[3784*3 + 1] = 0.177822f;	val_dir[3784*3 + 2] = 0.933564f;
 	val_dir[3785*3 + 0] = 0.343582f;	val_dir[3785*3 + 1] = 0.206149f;	val_dir[3785*3 + 2] = 0.916217f;
 	val_dir[3786*3 + 0] = 0.377124f;	val_dir[3786*3 + 1] = 0.235702f;	val_dir[3786*3 + 2] = 0.895669f;
 	val_dir[3787*3 + 0] = 0.411585f;	val_dir[3787*3 + 1] = 0.266320f;	val_dir[3787*3 + 2] = 0.871592f;
 	val_dir[3788*3 + 0] = 0.446662f;	val_dir[3788*3 + 1] = 0.297775f;	val_dir[3788*3 + 2] = 0.843696f;
 	val_dir[3789*3 + 0] = 0.481979f;	val_dir[3789*3 + 1] = 0.329775f;	val_dir[3789*3 + 2] = 0.811754f;
 	val_dir[3790*3 + 0] = 0.517088f;	val_dir[3790*3 + 1] = 0.361961f;	val_dir[3790*3 + 2] = 0.775632f;
 	val_dir[3791*3 + 0] = 0.551487f;	val_dir[3791*3 + 1] = 0.393919f;	val_dir[3791*3 + 2] = 0.735316f;
 	val_dir[3792*3 + 0] = 0.584643f;	val_dir[3792*3 + 1] = 0.425195f;	val_dir[3792*3 + 2] = 0.690942f;
 	val_dir[3793*3 + 0] = 0.616022f;	val_dir[3793*3 + 1] = 0.455321f;	val_dir[3793*3 + 2] = 0.642806f;
 	val_dir[3794*3 + 0] = 0.645124f;	val_dir[3794*3 + 1] = 0.483843f;	val_dir[3794*3 + 2] = 0.591364f;
 	val_dir[3795*3 + 0] = 0.671519f;	val_dir[3795*3 + 1] = 0.510355f;	val_dir[3795*3 + 2] = 0.537215f;
 	val_dir[3796*3 + 0] = 0.694879f;	val_dir[3796*3 + 1] = 0.534522f;	val_dir[3796*3 + 2] = 0.481070f;
 	val_dir[3797*3 + 0] = 0.714997f;	val_dir[3797*3 + 1] = 0.556108f;	val_dir[3797*3 + 2] = 0.423702f;
 	val_dir[3798*3 + 0] = 0.731792f;	val_dir[3798*3 + 1] = 0.574979f;	val_dir[3798*3 + 2] = 0.365896f;
 	val_dir[3799*3 + 0] = 0.745307f;	val_dir[3799*3 + 1] = 0.591105f;	val_dir[3799*3 + 2] = 0.308403f;
 	val_dir[3800*3 + 0] = 0.755689f;	val_dir[3800*3 + 1] = 0.604551f;	val_dir[3800*3 + 2] = 0.251896f;
 	val_dir[3801*3 + 0] = 0.763167f;	val_dir[3801*3 + 1] = 0.615457f;	val_dir[3801*3 + 2] = 0.196946f;
 	val_dir[3802*3 + 0] = 0.768025f;	val_dir[3802*3 + 1] = 0.624020f;	val_dir[3802*3 + 2] = 0.144005f;
 	val_dir[3803*3 + 0] = 0.770574f;	val_dir[3803*3 + 1] = 0.630470f;	val_dir[3803*3 + 2] = 0.093403f;
 	val_dir[3804*3 + 0] = 0.771136f;	val_dir[3804*3 + 1] = 0.635053f;	val_dir[3804*3 + 2] = 0.045361f;
 	val_dir[3805*3 + 0] = 0.770022f;	val_dir[3805*3 + 1] = 0.638018f;	val_dir[3805*3 + 2] = 0.0f;
 	val_dir[3806*3 + 0] = -0.648784f;	val_dir[3806*3 + 1] = -0.760644f;	val_dir[3806*3 + 2] = 0.022372f;
 	val_dir[3807*3 + 0] = -0.645429f;	val_dir[3807*3 + 1] = -0.760684f;	val_dir[3807*3 + 2] = 0.069153f;
 	val_dir[3808*3 + 0] = -0.640321f;	val_dir[3808*3 + 1] = -0.758899f;	val_dir[3808*3 + 2] = 0.118578f;
 	val_dir[3809*3 + 0] = -0.633205f;	val_dir[3809*3 + 1] = -0.754976f;	val_dir[3809*3 + 2] = 0.170478f;
 	val_dir[3810*3 + 0] = -0.623831f;	val_dir[3810*3 + 1] = -0.748598f;	val_dir[3810*3 + 2] = 0.224579f;
 	val_dir[3811*3 + 0] = -0.611974f;	val_dir[3811*3 + 1] = -0.739469f;	val_dir[3811*3 + 2] = 0.280488f;
 	val_dir[3812*3 + 0] = -0.597453f;	val_dir[3812*3 + 1] = -0.727334f;	val_dir[3812*3 + 2] = 0.337691f;
 	val_dir[3813*3 + 0] = -0.580154f;	val_dir[3813*3 + 1] = -0.712007f;	val_dir[3813*3 + 2] = 0.395559f;
 	val_dir[3814*3 + 0] = -0.560050f;	val_dir[3814*3 + 1] = -0.693395f;	val_dir[3814*3 + 2] = 0.453374f;
 	val_dir[3815*3 + 0] = -0.537215f;	val_dir[3815*3 + 1] = -0.671519f;	val_dir[3815*3 + 2] = 0.510355f;
 	val_dir[3816*3 + 0] = -0.511834f;	val_dir[3816*3 + 1] = -0.646527f;	val_dir[3816*3 + 2] = 0.565711f;
 	val_dir[3817*3 + 0] = -0.484193f;	val_dir[3817*3 + 1] = -0.618691f;	val_dir[3817*3 + 2] = 0.618691f;
 	val_dir[3818*3 + 0] = -0.454669f;	val_dir[3818*3 + 1] = -0.588395f;	val_dir[3818*3 + 2] = 0.668631f;
 	val_dir[3819*3 + 0] = -0.423702f;	val_dir[3819*3 + 1] = -0.556108f;	val_dir[3819*3 + 2] = 0.714997f;
 	val_dir[3820*3 + 0] = -0.391764f;	val_dir[3820*3 + 1] = -0.522352f;	val_dir[3820*3 + 2] = 0.757410f;
 	val_dir[3821*3 + 0] = -0.359329f;	val_dir[3821*3 + 1] = -0.487661f;	val_dir[3821*3 + 2] = 0.795657f;
 	val_dir[3822*3 + 0] = -0.326844f;	val_dir[3822*3 + 1] = -0.452553f;	val_dir[3822*3 + 2] = 0.829680f;
 	val_dir[3823*3 + 0] = -0.294706f;	val_dir[3823*3 + 1] = -0.41750f;	val_dir[3823*3 + 2] = 0.859559f;
 	val_dir[3824*3 + 0] = -0.263251f;	val_dir[3824*3 + 1] = -0.382911f;	val_dir[3824*3 + 2] = 0.885482f;
 	val_dir[3825*3 + 0] = -0.232747f;	val_dir[3825*3 + 1] = -0.349121f;	val_dir[3825*3 + 2] = 0.907713f;
 	val_dir[3826*3 + 0] = -0.203393f;	val_dir[3826*3 + 1] = -0.316389f;	val_dir[3826*3 + 2] = 0.926568f;
 	val_dir[3827*3 + 0] = -0.175327f;	val_dir[3827*3 + 1] = -0.284907f;	val_dir[3827*3 + 2] = 0.942384f;
 	val_dir[3828*3 + 0] = -0.148634f;	val_dir[3828*3 + 1] = -0.254801f;	val_dir[3828*3 + 2] = 0.955502f;
 	val_dir[3829*3 + 0] = -0.123351f;	val_dir[3829*3 + 1] = -0.226144f;	val_dir[3829*3 + 2] = 0.966252f;
 	val_dir[3830*3 + 0] = -0.099484f;	val_dir[3830*3 + 1] = -0.198968f;	val_dir[3830*3 + 2] = 0.974943f;
 	val_dir[3831*3 + 0] = -0.077009f;	val_dir[3831*3 + 1] = -0.173269f;	val_dir[3831*3 + 2] = 0.981859f;
 	val_dir[3832*3 + 0] = -0.055882f;	val_dir[3832*3 + 1] = -0.149019f;	val_dir[3832*3 + 2] = 0.987254f;
 	val_dir[3833*3 + 0] = -0.036049f;	val_dir[3833*3 + 1] = -0.126172f;	val_dir[3833*3 + 2] = 0.991353f;
 	val_dir[3834*3 + 0] = -0.017445f;	val_dir[3834*3 + 1] = -0.104669f;	val_dir[3834*3 + 2] = 0.994354f;
 	val_dir[3835*3 + 0] = 0.0f;	val_dir[3835*3 + 1] = -0.084443f;	val_dir[3835*3 + 2] = 0.996428f;
 	val_dir[3836*3 + 0] = 0.016908f;	val_dir[3836*3 + 1] = -0.067632f;	val_dir[3836*3 + 2] = 0.997567f;
 	val_dir[3837*3 + 0] = 0.033835f;	val_dir[3837*3 + 1] = -0.050753f;	val_dir[3837*3 + 2] = 0.998138f;
 	val_dir[3838*3 + 0] = 0.050753f;	val_dir[3838*3 + 1] = -0.033835f;	val_dir[3838*3 + 2] = 0.998138f;
 	val_dir[3839*3 + 0] = 0.067632f;	val_dir[3839*3 + 1] = -0.016908f;	val_dir[3839*3 + 2] = 0.997567f;
 	val_dir[3840*3 + 0] = 0.084443f;	val_dir[3840*3 + 1] = 0.0f;	val_dir[3840*3 + 2] = 0.996428f;
 	val_dir[3841*3 + 0] = 0.104669f;	val_dir[3841*3 + 1] = 0.017445f;	val_dir[3841*3 + 2] = 0.994354f;
 	val_dir[3842*3 + 0] = 0.126172f;	val_dir[3842*3 + 1] = 0.036049f;	val_dir[3842*3 + 2] = 0.991353f;
 	val_dir[3843*3 + 0] = 0.149019f;	val_dir[3843*3 + 1] = 0.055882f;	val_dir[3843*3 + 2] = 0.987254f;
 	val_dir[3844*3 + 0] = 0.173269f;	val_dir[3844*3 + 1] = 0.077009f;	val_dir[3844*3 + 2] = 0.981859f;
 	val_dir[3845*3 + 0] = 0.198968f;	val_dir[3845*3 + 1] = 0.099484f;	val_dir[3845*3 + 2] = 0.974943f;
 	val_dir[3846*3 + 0] = 0.226144f;	val_dir[3846*3 + 1] = 0.123351f;	val_dir[3846*3 + 2] = 0.966252f;
 	val_dir[3847*3 + 0] = 0.254801f;	val_dir[3847*3 + 1] = 0.148634f;	val_dir[3847*3 + 2] = 0.955502f;
 	val_dir[3848*3 + 0] = 0.284907f;	val_dir[3848*3 + 1] = 0.175327f;	val_dir[3848*3 + 2] = 0.942384f;
 	val_dir[3849*3 + 0] = 0.316389f;	val_dir[3849*3 + 1] = 0.203393f;	val_dir[3849*3 + 2] = 0.926568f;
 	val_dir[3850*3 + 0] = 0.349121f;	val_dir[3850*3 + 1] = 0.232747f;	val_dir[3850*3 + 2] = 0.907713f;
 	val_dir[3851*3 + 0] = 0.382911f;	val_dir[3851*3 + 1] = 0.263251f;	val_dir[3851*3 + 2] = 0.885482f;
 	val_dir[3852*3 + 0] = 0.41750f;	val_dir[3852*3 + 1] = 0.294706f;	val_dir[3852*3 + 2] = 0.859559f;
 	val_dir[3853*3 + 0] = 0.452553f;	val_dir[3853*3 + 1] = 0.326844f;	val_dir[3853*3 + 2] = 0.829680f;
 	val_dir[3854*3 + 0] = 0.487661f;	val_dir[3854*3 + 1] = 0.359329f;	val_dir[3854*3 + 2] = 0.795657f;
 	val_dir[3855*3 + 0] = 0.522352f;	val_dir[3855*3 + 1] = 0.391764f;	val_dir[3855*3 + 2] = 0.757410f;
 	val_dir[3856*3 + 0] = 0.556108f;	val_dir[3856*3 + 1] = 0.423702f;	val_dir[3856*3 + 2] = 0.714997f;
 	val_dir[3857*3 + 0] = 0.588395f;	val_dir[3857*3 + 1] = 0.454669f;	val_dir[3857*3 + 2] = 0.668631f;
 	val_dir[3858*3 + 0] = 0.618691f;	val_dir[3858*3 + 1] = 0.484193f;	val_dir[3858*3 + 2] = 0.618691f;
 	val_dir[3859*3 + 0] = 0.646527f;	val_dir[3859*3 + 1] = 0.511834f;	val_dir[3859*3 + 2] = 0.565711f;
 	val_dir[3860*3 + 0] = 0.671519f;	val_dir[3860*3 + 1] = 0.537215f;	val_dir[3860*3 + 2] = 0.510355f;
 	val_dir[3861*3 + 0] = 0.693395f;	val_dir[3861*3 + 1] = 0.560050f;	val_dir[3861*3 + 2] = 0.453374f;
 	val_dir[3862*3 + 0] = 0.712007f;	val_dir[3862*3 + 1] = 0.580154f;	val_dir[3862*3 + 2] = 0.395559f;
 	val_dir[3863*3 + 0] = 0.727334f;	val_dir[3863*3 + 1] = 0.597453f;	val_dir[3863*3 + 2] = 0.337691f;
 	val_dir[3864*3 + 0] = 0.739469f;	val_dir[3864*3 + 1] = 0.611974f;	val_dir[3864*3 + 2] = 0.280488f;
 	val_dir[3865*3 + 0] = 0.748598f;	val_dir[3865*3 + 1] = 0.623831f;	val_dir[3865*3 + 2] = 0.224579f;
 	val_dir[3866*3 + 0] = 0.754976f;	val_dir[3866*3 + 1] = 0.633205f;	val_dir[3866*3 + 2] = 0.170478f;
 	val_dir[3867*3 + 0] = 0.758899f;	val_dir[3867*3 + 1] = 0.640321f;	val_dir[3867*3 + 2] = 0.118578f;
 	val_dir[3868*3 + 0] = 0.760684f;	val_dir[3868*3 + 1] = 0.645429f;	val_dir[3868*3 + 2] = 0.069153f;
 	val_dir[3869*3 + 0] = 0.760644f;	val_dir[3869*3 + 1] = 0.648784f;	val_dir[3869*3 + 2] = 0.022372f;
 	val_dir[3870*3 + 0] = -0.661622f;	val_dir[3870*3 + 1] = -0.749838f;	val_dir[3870*3 + 2] = 0.0f;
 	val_dir[3871*3 + 0] = -0.659432f;	val_dir[3871*3 + 1] = -0.750388f;	val_dir[3871*3 + 2] = 0.045478f;
 	val_dir[3872*3 + 0] = -0.655610f;	val_dir[3872*3 + 1] = -0.749269f;	val_dir[3872*3 + 2] = 0.093659f;
 	val_dir[3873*3 + 0] = -0.649895f;	val_dir[3873*3 + 1] = -0.746176f;	val_dir[3873*3 + 2] = 0.144421f;
 	val_dir[3874*3 + 0] = -0.642024f;	val_dir[3874*3 + 1] = -0.740797f;	val_dir[3874*3 + 2] = 0.197546f;
 	val_dir[3875*3 + 0] = -0.631748f;	val_dir[3875*3 + 1] = -0.732828f;	val_dir[3875*3 + 2] = 0.252699f;
 	val_dir[3876*3 + 0] = -0.618853f;	val_dir[3876*3 + 1] = -0.721995f;	val_dir[3876*3 + 2] = 0.309426f;
 	val_dir[3877*3 + 0] = -0.603178f;	val_dir[3877*3 + 1] = -0.708079f;	val_dir[3877*3 + 2] = 0.367152f;
 	val_dir[3878*3 + 0] = -0.584643f;	val_dir[3878*3 + 1] = -0.690942f;	val_dir[3878*3 + 2] = 0.425195f;
 	val_dir[3879*3 + 0] = -0.563264f;	val_dir[3879*3 + 1] = -0.670552f;	val_dir[3879*3 + 2] = 0.482798f;
 	val_dir[3880*3 + 0] = -0.539164f;	val_dir[3880*3 + 1] = -0.646997f;	val_dir[3880*3 + 2] = 0.539164f;
 	val_dir[3881*3 + 0] = -0.512578f;	val_dir[3881*3 + 1] = -0.620490f;	val_dir[3881*3 + 2] = 0.593512f;
 	val_dir[3882*3 + 0] = -0.483843f;	val_dir[3882*3 + 1] = -0.591364f;	val_dir[3882*3 + 2] = 0.645124f;
 	val_dir[3883*3 + 0] = -0.453374f;	val_dir[3883*3 + 1] = -0.560050f;	val_dir[3883*3 + 2] = 0.693395f;
 	val_dir[3884*3 + 0] = -0.421637f;	val_dir[3884*3 + 1] = -0.527046f;	val_dir[3884*3 + 2] = 0.737865f;
 	val_dir[3885*3 + 0] = -0.389118f;	val_dir[3885*3 + 1] = -0.492883f;	val_dir[3885*3 + 2] = 0.778237f;
 	val_dir[3886*3 + 0] = -0.356291f;	val_dir[3886*3 + 1] = -0.458088f;	val_dir[3886*3 + 2] = 0.814379f;
 	val_dir[3887*3 + 0] = -0.323587f;	val_dir[3887*3 + 1] = -0.423153f;	val_dir[3887*3 + 2] = 0.846305f;
 	val_dir[3888*3 + 0] = -0.291386f;	val_dir[3888*3 + 1] = -0.388514f;	val_dir[3888*3 + 2] = 0.874157f;
 	val_dir[3889*3 + 0] = -0.259996f;	val_dir[3889*3 + 1] = -0.354540f;	val_dir[3889*3 + 2] = 0.898167f;
 	val_dir[3890*3 + 0] = -0.229658f;	val_dir[3890*3 + 1] = -0.321521f;	val_dir[3890*3 + 2] = 0.918630f;
 	val_dir[3891*3 + 0] = -0.200545f;	val_dir[3891*3 + 1] = -0.289677f;	val_dir[3891*3 + 2] = 0.935879f;
 	val_dir[3892*3 + 0] = -0.172774f;	val_dir[3892*3 + 1] = -0.259161f;	val_dir[3892*3 + 2] = 0.950255f;
 	val_dir[3893*3 + 0] = -0.146406f;	val_dir[3893*3 + 1] = -0.230067f;	val_dir[3893*3 + 2] = 0.962099f;
 	val_dir[3894*3 + 0] = -0.121466f;	val_dir[3894*3 + 1] = -0.202444f;	val_dir[3894*3 + 2] = 0.971732f;
 	val_dir[3895*3 + 0] = -0.097945f;	val_dir[3895*3 + 1] = -0.176301f;	val_dir[3895*3 + 2] = 0.979451f;
 	val_dir[3896*3 + 0] = -0.075810f;	val_dir[3896*3 + 1] = -0.151620f;	val_dir[3896*3 + 2] = 0.985527f;
 	val_dir[3897*3 + 0] = -0.055011f;	val_dir[3897*3 + 1] = -0.128359f;	val_dir[3897*3 + 2] = 0.990201f;
 	val_dir[3898*3 + 0] = -0.035489f;	val_dir[3898*3 + 1] = -0.106466f;	val_dir[3898*3 + 2] = 0.993683f;
 	val_dir[3899*3 + 0] = -0.017175f;	val_dir[3899*3 + 1] = -0.085876f;	val_dir[3899*3 + 2] = 0.996158f;
 	val_dir[3900*3 + 0] = 0.0f;	val_dir[3900*3 + 1] = -0.066519f;	val_dir[3900*3 + 2] = 0.997785f;
 	val_dir[3901*3 + 0] = 0.016644f;	val_dir[3901*3 + 1] = -0.049931f;	val_dir[3901*3 + 2] = 0.998614f;
 	val_dir[3902*3 + 0] = 0.033296f;	val_dir[3902*3 + 1] = -0.033296f;	val_dir[3902*3 + 2] = 0.998891f;
 	val_dir[3903*3 + 0] = 0.049931f;	val_dir[3903*3 + 1] = -0.016644f;	val_dir[3903*3 + 2] = 0.998614f;
 	val_dir[3904*3 + 0] = 0.066519f;	val_dir[3904*3 + 1] = 0.0f;	val_dir[3904*3 + 2] = 0.997785f;
 	val_dir[3905*3 + 0] = 0.085876f;	val_dir[3905*3 + 1] = 0.017175f;	val_dir[3905*3 + 2] = 0.996158f;
 	val_dir[3906*3 + 0] = 0.106466f;	val_dir[3906*3 + 1] = 0.035489f;	val_dir[3906*3 + 2] = 0.993683f;
 	val_dir[3907*3 + 0] = 0.128359f;	val_dir[3907*3 + 1] = 0.055011f;	val_dir[3907*3 + 2] = 0.990201f;
 	val_dir[3908*3 + 0] = 0.151620f;	val_dir[3908*3 + 1] = 0.075810f;	val_dir[3908*3 + 2] = 0.985527f;
 	val_dir[3909*3 + 0] = 0.176301f;	val_dir[3909*3 + 1] = 0.097945f;	val_dir[3909*3 + 2] = 0.979451f;
 	val_dir[3910*3 + 0] = 0.202444f;	val_dir[3910*3 + 1] = 0.121466f;	val_dir[3910*3 + 2] = 0.971732f;
 	val_dir[3911*3 + 0] = 0.230067f;	val_dir[3911*3 + 1] = 0.146406f;	val_dir[3911*3 + 2] = 0.962099f;
 	val_dir[3912*3 + 0] = 0.259161f;	val_dir[3912*3 + 1] = 0.172774f;	val_dir[3912*3 + 2] = 0.950255f;
 	val_dir[3913*3 + 0] = 0.289677f;	val_dir[3913*3 + 1] = 0.200545f;	val_dir[3913*3 + 2] = 0.935879f;
 	val_dir[3914*3 + 0] = 0.321521f;	val_dir[3914*3 + 1] = 0.229658f;	val_dir[3914*3 + 2] = 0.918630f;
 	val_dir[3915*3 + 0] = 0.354540f;	val_dir[3915*3 + 1] = 0.259996f;	val_dir[3915*3 + 2] = 0.898167f;
 	val_dir[3916*3 + 0] = 0.388514f;	val_dir[3916*3 + 1] = 0.291386f;	val_dir[3916*3 + 2] = 0.874157f;
 	val_dir[3917*3 + 0] = 0.423153f;	val_dir[3917*3 + 1] = 0.323587f;	val_dir[3917*3 + 2] = 0.846305f;
 	val_dir[3918*3 + 0] = 0.458088f;	val_dir[3918*3 + 1] = 0.356291f;	val_dir[3918*3 + 2] = 0.814379f;
 	val_dir[3919*3 + 0] = 0.492883f;	val_dir[3919*3 + 1] = 0.389118f;	val_dir[3919*3 + 2] = 0.778237f;
 	val_dir[3920*3 + 0] = 0.527046f;	val_dir[3920*3 + 1] = 0.421637f;	val_dir[3920*3 + 2] = 0.737865f;
 	val_dir[3921*3 + 0] = 0.560050f;	val_dir[3921*3 + 1] = 0.453374f;	val_dir[3921*3 + 2] = 0.693395f;
 	val_dir[3922*3 + 0] = 0.591364f;	val_dir[3922*3 + 1] = 0.483843f;	val_dir[3922*3 + 2] = 0.645124f;
 	val_dir[3923*3 + 0] = 0.620490f;	val_dir[3923*3 + 1] = 0.512578f;	val_dir[3923*3 + 2] = 0.593512f;
 	val_dir[3924*3 + 0] = 0.646997f;	val_dir[3924*3 + 1] = 0.539164f;	val_dir[3924*3 + 2] = 0.539164f;
 	val_dir[3925*3 + 0] = 0.670552f;	val_dir[3925*3 + 1] = 0.563264f;	val_dir[3925*3 + 2] = 0.482798f;
 	val_dir[3926*3 + 0] = 0.690942f;	val_dir[3926*3 + 1] = 0.584643f;	val_dir[3926*3 + 2] = 0.425195f;
 	val_dir[3927*3 + 0] = 0.708079f;	val_dir[3927*3 + 1] = 0.603178f;	val_dir[3927*3 + 2] = 0.367152f;
 	val_dir[3928*3 + 0] = 0.721995f;	val_dir[3928*3 + 1] = 0.618853f;	val_dir[3928*3 + 2] = 0.309426f;
 	val_dir[3929*3 + 0] = 0.732828f;	val_dir[3929*3 + 1] = 0.631748f;	val_dir[3929*3 + 2] = 0.252699f;
 	val_dir[3930*3 + 0] = 0.740797f;	val_dir[3930*3 + 1] = 0.642024f;	val_dir[3930*3 + 2] = 0.197546f;
 	val_dir[3931*3 + 0] = 0.746176f;	val_dir[3931*3 + 1] = 0.649895f;	val_dir[3931*3 + 2] = 0.144421f;
 	val_dir[3932*3 + 0] = 0.749269f;	val_dir[3932*3 + 1] = 0.655610f;	val_dir[3932*3 + 2] = 0.093659f;
 	val_dir[3933*3 + 0] = 0.750388f;	val_dir[3933*3 + 1] = 0.659432f;	val_dir[3933*3 + 2] = 0.045478f;
 	val_dir[3934*3 + 0] = 0.749838f;	val_dir[3934*3 + 1] = 0.661622f;	val_dir[3934*3 + 2] = 0.0f;
 	val_dir[3935*3 + 0] = -0.672504f;	val_dir[3935*3 + 1] = -0.739754f;	val_dir[3935*3 + 2] = 0.022417f;
 	val_dir[3936*3 + 0] = -0.669905f;	val_dir[3936*3 + 1] = -0.739205f;	val_dir[3936*3 + 2] = 0.069301f;
 	val_dir[3937*3 + 0] = -0.665536f;	val_dir[3937*3 + 1] = -0.736843f;	val_dir[3937*3 + 2] = 0.118846f;
 	val_dir[3938*3 + 0] = -0.659125f;	val_dir[3938*3 + 1] = -0.732361f;	val_dir[3938*3 + 2] = 0.170884f;
 	val_dir[3939*3 + 0] = -0.650407f;	val_dir[3939*3 + 1] = -0.725454f;	val_dir[3939*3 + 2] = 0.225141f;
 	val_dir[3940*3 + 0] = -0.639138f;	val_dir[3940*3 + 1] = -0.715834f;	val_dir[3940*3 + 2] = 0.281220f;
 	val_dir[3941*3 + 0] = -0.625119f;	val_dir[3941*3 + 1] = -0.703259f;	val_dir[3941*3 + 2] = 0.338606f;
 	val_dir[3942*3 + 0] = -0.608219f;	val_dir[3942*3 + 1] = -0.687552f;	val_dir[3942*3 + 2] = 0.396664f;
 	val_dir[3943*3 + 0] = -0.588395f;	val_dir[3943*3 + 1] = -0.668631f;	val_dir[3943*3 + 2] = 0.454669f;
 	val_dir[3944*3 + 0] = -0.565711f;	val_dir[3944*3 + 1] = -0.646527f;	val_dir[3944*3 + 2] = 0.511834f;
 	val_dir[3945*3 + 0] = -0.540343f;	val_dir[3945*3 + 1] = -0.621395f;	val_dir[3945*3 + 2] = 0.567360f;
 	val_dir[3946*3 + 0] = -0.512578f;	val_dir[3946*3 + 1] = -0.593512f;	val_dir[3946*3 + 2] = 0.620490f;
 	val_dir[3947*3 + 0] = -0.482798f;	val_dir[3947*3 + 1] = -0.563264f;	val_dir[3947*3 + 2] = 0.670552f;
 	val_dir[3948*3 + 0] = -0.451451f;	val_dir[3948*3 + 1] = -0.531119f;	val_dir[3948*3 + 2] = 0.717011f;
 	val_dir[3949*3 + 0] = -0.419026f;	val_dir[3949*3 + 1] = -0.497594f;	val_dir[3949*3 + 2] = 0.759485f;
 	val_dir[3950*3 + 0] = -0.386014f;	val_dir[3950*3 + 1] = -0.463217f;	val_dir[3950*3 + 2] = 0.797762f;
 	val_dir[3951*3 + 0] = -0.352879f;	val_dir[3951*3 + 1] = -0.428496f;	val_dir[3951*3 + 2] = 0.831786f;
 	val_dir[3952*3 + 0] = -0.320038f;	val_dir[3952*3 + 1] = -0.393893f;	val_dir[3952*3 + 2] = 0.861640f;
 	val_dir[3953*3 + 0] = -0.287843f;	val_dir[3953*3 + 1] = -0.359804f;	val_dir[3953*3 + 2] = 0.887517f;
 	val_dir[3954*3 + 0] = -0.256578f;	val_dir[3954*3 + 1] = -0.326554f;	val_dir[3954*3 + 2] = 0.909687f;
 	val_dir[3955*3 + 0] = -0.226455f;	val_dir[3955*3 + 1] = -0.294392f;	val_dir[3955*3 + 2] = 0.928467f;
 	val_dir[3956*3 + 0] = -0.197623f;	val_dir[3956*3 + 1] = -0.263498f;	val_dir[3956*3 + 2] = 0.94420f;
 	val_dir[3957*3 + 0] = -0.170174f;	val_dir[3957*3 + 1] = -0.233990f;	val_dir[3957*3 + 2] = 0.957230f;
 	val_dir[3958*3 + 0] = -0.144154f;	val_dir[3958*3 + 1] = -0.205934f;	val_dir[3958*3 + 2] = 0.967890f;
 	val_dir[3959*3 + 0] = -0.119570f;	val_dir[3959*3 + 1] = -0.179355f;	val_dir[3959*3 + 2] = 0.976491f;
 	val_dir[3960*3 + 0] = -0.096404f;	val_dir[3960*3 + 1] = -0.154246f;	val_dir[3960*3 + 2] = 0.983318f;
 	val_dir[3961*3 + 0] = -0.074613f;	val_dir[3961*3 + 1] = -0.130573f;	val_dir[3961*3 + 2] = 0.988627f;
 	val_dir[3962*3 + 0] = -0.054144f;	val_dir[3962*3 + 1] = -0.108288f;	val_dir[3962*3 + 2] = 0.992644f;
 	val_dir[3963*3 + 0] = -0.034932f;	val_dir[3963*3 + 1] = -0.087330f;	val_dir[3963*3 + 2] = 0.995567f;
 	val_dir[3964*3 + 0] = -0.016908f;	val_dir[3964*3 + 1] = -0.067632f;	val_dir[3964*3 + 2] = 0.997567f;
 	val_dir[3965*3 + 0] = 0.0f;	val_dir[3965*3 + 1] = -0.049121f;	val_dir[3965*3 + 2] = 0.998793f;
 	val_dir[3966*3 + 0] = 0.016382f;	val_dir[3966*3 + 1] = -0.032765f;	val_dir[3966*3 + 2] = 0.999329f;
 	val_dir[3967*3 + 0] = 0.032765f;	val_dir[3967*3 + 1] = -0.016382f;	val_dir[3967*3 + 2] = 0.999329f;
 	val_dir[3968*3 + 0] = 0.049121f;	val_dir[3968*3 + 1] = 0.0f;	val_dir[3968*3 + 2] = 0.998793f;
 	val_dir[3969*3 + 0] = 0.067632f;	val_dir[3969*3 + 1] = 0.016908f;	val_dir[3969*3 + 2] = 0.997567f;
 	val_dir[3970*3 + 0] = 0.087330f;	val_dir[3970*3 + 1] = 0.034932f;	val_dir[3970*3 + 2] = 0.995567f;
 	val_dir[3971*3 + 0] = 0.108288f;	val_dir[3971*3 + 1] = 0.054144f;	val_dir[3971*3 + 2] = 0.992644f;
 	val_dir[3972*3 + 0] = 0.130573f;	val_dir[3972*3 + 1] = 0.074613f;	val_dir[3972*3 + 2] = 0.988627f;
 	val_dir[3973*3 + 0] = 0.154246f;	val_dir[3973*3 + 1] = 0.096404f;	val_dir[3973*3 + 2] = 0.983318f;
 	val_dir[3974*3 + 0] = 0.179355f;	val_dir[3974*3 + 1] = 0.119570f;	val_dir[3974*3 + 2] = 0.976491f;
 	val_dir[3975*3 + 0] = 0.205934f;	val_dir[3975*3 + 1] = 0.144154f;	val_dir[3975*3 + 2] = 0.967890f;
 	val_dir[3976*3 + 0] = 0.233990f;	val_dir[3976*3 + 1] = 0.170174f;	val_dir[3976*3 + 2] = 0.957230f;
 	val_dir[3977*3 + 0] = 0.263498f;	val_dir[3977*3 + 1] = 0.197623f;	val_dir[3977*3 + 2] = 0.94420f;
 	val_dir[3978*3 + 0] = 0.294392f;	val_dir[3978*3 + 1] = 0.226455f;	val_dir[3978*3 + 2] = 0.928467f;
 	val_dir[3979*3 + 0] = 0.326554f;	val_dir[3979*3 + 1] = 0.256578f;	val_dir[3979*3 + 2] = 0.909687f;
 	val_dir[3980*3 + 0] = 0.359804f;	val_dir[3980*3 + 1] = 0.287843f;	val_dir[3980*3 + 2] = 0.887517f;
 	val_dir[3981*3 + 0] = 0.393893f;	val_dir[3981*3 + 1] = 0.320038f;	val_dir[3981*3 + 2] = 0.861640f;
 	val_dir[3982*3 + 0] = 0.428496f;	val_dir[3982*3 + 1] = 0.352879f;	val_dir[3982*3 + 2] = 0.831786f;
 	val_dir[3983*3 + 0] = 0.463217f;	val_dir[3983*3 + 1] = 0.386014f;	val_dir[3983*3 + 2] = 0.797762f;
 	val_dir[3984*3 + 0] = 0.497594f;	val_dir[3984*3 + 1] = 0.419026f;	val_dir[3984*3 + 2] = 0.759485f;
 	val_dir[3985*3 + 0] = 0.531119f;	val_dir[3985*3 + 1] = 0.451451f;	val_dir[3985*3 + 2] = 0.717011f;
 	val_dir[3986*3 + 0] = 0.563264f;	val_dir[3986*3 + 1] = 0.482798f;	val_dir[3986*3 + 2] = 0.670552f;
 	val_dir[3987*3 + 0] = 0.593512f;	val_dir[3987*3 + 1] = 0.512578f;	val_dir[3987*3 + 2] = 0.620490f;
 	val_dir[3988*3 + 0] = 0.621395f;	val_dir[3988*3 + 1] = 0.540343f;	val_dir[3988*3 + 2] = 0.567360f;
 	val_dir[3989*3 + 0] = 0.646527f;	val_dir[3989*3 + 1] = 0.565711f;	val_dir[3989*3 + 2] = 0.511834f;
 	val_dir[3990*3 + 0] = 0.668631f;	val_dir[3990*3 + 1] = 0.588395f;	val_dir[3990*3 + 2] = 0.454669f;
 	val_dir[3991*3 + 0] = 0.687552f;	val_dir[3991*3 + 1] = 0.608219f;	val_dir[3991*3 + 2] = 0.396664f;
 	val_dir[3992*3 + 0] = 0.703259f;	val_dir[3992*3 + 1] = 0.625119f;	val_dir[3992*3 + 2] = 0.338606f;
 	val_dir[3993*3 + 0] = 0.715834f;	val_dir[3993*3 + 1] = 0.639138f;	val_dir[3993*3 + 2] = 0.281220f;
 	val_dir[3994*3 + 0] = 0.725454f;	val_dir[3994*3 + 1] = 0.650407f;	val_dir[3994*3 + 2] = 0.225141f;
 	val_dir[3995*3 + 0] = 0.732361f;	val_dir[3995*3 + 1] = 0.659125f;	val_dir[3995*3 + 2] = 0.170884f;
 	val_dir[3996*3 + 0] = 0.736843f;	val_dir[3996*3 + 1] = 0.665536f;	val_dir[3996*3 + 2] = 0.118846f;
 	val_dir[3997*3 + 0] = 0.739205f;	val_dir[3997*3 + 1] = 0.669905f;	val_dir[3997*3 + 2] = 0.069301f;
 	val_dir[3998*3 + 0] = 0.739754f;	val_dir[3998*3 + 1] = 0.672504f;	val_dir[3998*3 + 2] = 0.022417f;
 	val_dir[3999*3 + 0] = -0.684675f;	val_dir[3999*3 + 1] = -0.728848f;	val_dir[3999*3 + 2] = 0.0f;
 	val_dir[4000*3 + 0] = -0.683231f;	val_dir[4000*3 + 1] = -0.728780f;	val_dir[4000*3 + 2] = 0.045549f;
 	val_dir[4001*3 + 0] = -0.680144f;	val_dir[4001*3 + 1] = -0.727051f;	val_dir[4001*3 + 2] = 0.093813f;
 	val_dir[4002*3 + 0] = -0.675140f;	val_dir[4002*3 + 1] = -0.723364f;	val_dir[4002*3 + 2] = 0.144673f;
 	val_dir[4003*3 + 0] = -0.667940f;	val_dir[4003*3 + 1] = -0.717418f;	val_dir[4003*3 + 2] = 0.197908f;
 	val_dir[4004*3 + 0] = -0.658281f;	val_dir[4004*3 + 1] = -0.708918f;	val_dir[4004*3 + 2] = 0.253185f;
 	val_dir[4005*3 + 0] = -0.645928f;	val_dir[4005*3 + 1] = -0.697602f;	val_dir[4005*3 + 2] = 0.310045f;
 	val_dir[4006*3 + 0] = -0.630706f;	val_dir[4006*3 + 1] = -0.683265f;	val_dir[4006*3 + 2] = 0.367912f;
 	val_dir[4007*3 + 0] = -0.612517f;	val_dir[4007*3 + 1] = -0.665780f;	val_dir[4007*3 + 2] = 0.426099f;
 	val_dir[4008*3 + 0] = -0.591364f;	val_dir[4008*3 + 1] = -0.645124f;	val_dir[4008*3 + 2] = 0.483843f;
 	val_dir[4009*3 + 0] = -0.567360f;	val_dir[4009*3 + 1] = -0.621395f;	val_dir[4009*3 + 2] = 0.540343f;
 	val_dir[4010*3 + 0] = -0.540738f;	val_dir[4010*3 + 1] = -0.594812f;	val_dir[4010*3 + 2] = 0.594812f;
 	val_dir[4011*3 + 0] = -0.511834f;	val_dir[4011*3 + 1] = -0.565711f;	val_dir[4011*3 + 2] = 0.646527f;
 	val_dir[4012*3 + 0] = -0.481070f;	val_dir[4012*3 + 1] = -0.534522f;	val_dir[4012*3 + 2] = 0.694879f;
 	val_dir[4013*3 + 0] = -0.448926f;	val_dir[4013*3 + 1] = -0.501740f;	val_dir[4013*3 + 2] = 0.739407f;
 	val_dir[4014*3 + 0] = -0.41590f;	val_dir[4014*3 + 1] = -0.467888f;	val_dir[4014*3 + 2] = 0.779813f;
 	val_dir[4015*3 + 0] = -0.382484f;	val_dir[4015*3 + 1] = -0.433482f;	val_dir[4015*3 + 2] = 0.815966f;
 	val_dir[4016*3 + 0] = -0.349128f;	val_dir[4016*3 + 1] = -0.399004f;	val_dir[4016*3 + 2] = 0.847883f;
 	val_dir[4017*3 + 0] = -0.316228f;	val_dir[4017*3 + 1] = -0.364878f;	val_dir[4017*3 + 2] = 0.875708f;
 	val_dir[4018*3 + 0] = -0.284108f;	val_dir[4018*3 + 1] = -0.331460f;	val_dir[4018*3 + 2] = 0.899676f;
 	val_dir[4019*3 + 0] = -0.253024f;	val_dir[4019*3 + 1] = -0.299028f;	val_dir[4019*3 + 2] = 0.920087f;
 	val_dir[4020*3 + 0] = -0.223161f;	val_dir[4020*3 + 1] = -0.267793f;	val_dir[4020*3 + 2] = 0.937276f;
 	val_dir[4021*3 + 0] = -0.194643f;	val_dir[4021*3 + 1] = -0.237897f;	val_dir[4021*3 + 2] = 0.951588f;
 	val_dir[4022*3 + 0] = -0.167542f;	val_dir[4022*3 + 1] = -0.209427f;	val_dir[4022*3 + 2] = 0.963364f;
 	val_dir[4023*3 + 0] = -0.141885f;	val_dir[4023*3 + 1] = -0.182424f;	val_dir[4023*3 + 2] = 0.972929f;
 	val_dir[4024*3 + 0] = -0.117670f;	val_dir[4024*3 + 1] = -0.156893f;	val_dir[4024*3 + 2] = 0.980581f;
 	val_dir[4025*3 + 0] = -0.094865f;	val_dir[4025*3 + 1] = -0.132810f;	val_dir[4025*3 + 2] = 0.986591f;
 	val_dir[4026*3 + 0] = -0.073422f;	val_dir[4026*3 + 1] = -0.110133f;	val_dir[4026*3 + 2] = 0.991201f;
 	val_dir[4027*3 + 0] = -0.053283f;	val_dir[4027*3 + 1] = -0.088806f;	val_dir[4027*3 + 2] = 0.994623f;
 	val_dir[4028*3 + 0] = -0.034381f;	val_dir[4028*3 + 1] = -0.068761f;	val_dir[4028*3 + 2] = 0.997041f;
 	val_dir[4029*3 + 0] = -0.016644f;	val_dir[4029*3 + 1] = -0.049931f;	val_dir[4029*3 + 2] = 0.998614f;
 	val_dir[4030*3 + 0] = 0.0f;	val_dir[4030*3 + 1] = -0.032241f;	val_dir[4030*3 + 2] = 0.999480f;
 	val_dir[4031*3 + 0] = 0.016125f;	val_dir[4031*3 + 1] = -0.016125f;	val_dir[4031*3 + 2] = 0.999740f;
 	val_dir[4032*3 + 0] = 0.032241f;	val_dir[4032*3 + 1] = 0.0f;	val_dir[4032*3 + 2] = 0.999480f;
 	val_dir[4033*3 + 0] = 0.049931f;	val_dir[4033*3 + 1] = 0.016644f;	val_dir[4033*3 + 2] = 0.998614f;
 	val_dir[4034*3 + 0] = 0.068761f;	val_dir[4034*3 + 1] = 0.034381f;	val_dir[4034*3 + 2] = 0.997041f;
 	val_dir[4035*3 + 0] = 0.088806f;	val_dir[4035*3 + 1] = 0.053283f;	val_dir[4035*3 + 2] = 0.994623f;
 	val_dir[4036*3 + 0] = 0.110133f;	val_dir[4036*3 + 1] = 0.073422f;	val_dir[4036*3 + 2] = 0.991201f;
 	val_dir[4037*3 + 0] = 0.132810f;	val_dir[4037*3 + 1] = 0.094865f;	val_dir[4037*3 + 2] = 0.986591f;
 	val_dir[4038*3 + 0] = 0.156893f;	val_dir[4038*3 + 1] = 0.117670f;	val_dir[4038*3 + 2] = 0.980581f;
 	val_dir[4039*3 + 0] = 0.182424f;	val_dir[4039*3 + 1] = 0.141885f;	val_dir[4039*3 + 2] = 0.972929f;
 	val_dir[4040*3 + 0] = 0.209427f;	val_dir[4040*3 + 1] = 0.167542f;	val_dir[4040*3 + 2] = 0.963364f;
 	val_dir[4041*3 + 0] = 0.237897f;	val_dir[4041*3 + 1] = 0.194643f;	val_dir[4041*3 + 2] = 0.951588f;
 	val_dir[4042*3 + 0] = 0.267793f;	val_dir[4042*3 + 1] = 0.223161f;	val_dir[4042*3 + 2] = 0.937276f;
 	val_dir[4043*3 + 0] = 0.299028f;	val_dir[4043*3 + 1] = 0.253024f;	val_dir[4043*3 + 2] = 0.920087f;
 	val_dir[4044*3 + 0] = 0.331460f;	val_dir[4044*3 + 1] = 0.284108f;	val_dir[4044*3 + 2] = 0.899676f;
 	val_dir[4045*3 + 0] = 0.364878f;	val_dir[4045*3 + 1] = 0.316228f;	val_dir[4045*3 + 2] = 0.875708f;
 	val_dir[4046*3 + 0] = 0.399004f;	val_dir[4046*3 + 1] = 0.349128f;	val_dir[4046*3 + 2] = 0.847883f;
 	val_dir[4047*3 + 0] = 0.433482f;	val_dir[4047*3 + 1] = 0.382484f;	val_dir[4047*3 + 2] = 0.815966f;
 	val_dir[4048*3 + 0] = 0.467888f;	val_dir[4048*3 + 1] = 0.41590f;	val_dir[4048*3 + 2] = 0.779813f;
 	val_dir[4049*3 + 0] = 0.501740f;	val_dir[4049*3 + 1] = 0.448926f;	val_dir[4049*3 + 2] = 0.739407f;
 	val_dir[4050*3 + 0] = 0.534522f;	val_dir[4050*3 + 1] = 0.481070f;	val_dir[4050*3 + 2] = 0.694879f;
 	val_dir[4051*3 + 0] = 0.565711f;	val_dir[4051*3 + 1] = 0.511834f;	val_dir[4051*3 + 2] = 0.646527f;
 	val_dir[4052*3 + 0] = 0.594812f;	val_dir[4052*3 + 1] = 0.540738f;	val_dir[4052*3 + 2] = 0.594812f;
 	val_dir[4053*3 + 0] = 0.621395f;	val_dir[4053*3 + 1] = 0.567360f;	val_dir[4053*3 + 2] = 0.540343f;
 	val_dir[4054*3 + 0] = 0.645124f;	val_dir[4054*3 + 1] = 0.591364f;	val_dir[4054*3 + 2] = 0.483843f;
 	val_dir[4055*3 + 0] = 0.665780f;	val_dir[4055*3 + 1] = 0.612517f;	val_dir[4055*3 + 2] = 0.426099f;
 	val_dir[4056*3 + 0] = 0.683265f;	val_dir[4056*3 + 1] = 0.630706f;	val_dir[4056*3 + 2] = 0.367912f;
 	val_dir[4057*3 + 0] = 0.697602f;	val_dir[4057*3 + 1] = 0.645928f;	val_dir[4057*3 + 2] = 0.310045f;
 	val_dir[4058*3 + 0] = 0.708918f;	val_dir[4058*3 + 1] = 0.658281f;	val_dir[4058*3 + 2] = 0.253185f;
 	val_dir[4059*3 + 0] = 0.717418f;	val_dir[4059*3 + 1] = 0.667940f;	val_dir[4059*3 + 2] = 0.197908f;
 	val_dir[4060*3 + 0] = 0.723364f;	val_dir[4060*3 + 1] = 0.675140f;	val_dir[4060*3 + 2] = 0.144673f;
 	val_dir[4061*3 + 0] = 0.727051f;	val_dir[4061*3 + 1] = 0.680144f;	val_dir[4061*3 + 2] = 0.093813f;
 	val_dir[4062*3 + 0] = 0.728780f;	val_dir[4062*3 + 1] = 0.683231f;	val_dir[4062*3 + 2] = 0.045549f;
 	val_dir[4063*3 + 0] = 0.728848f;	val_dir[4063*3 + 1] = 0.684675f;	val_dir[4063*3 + 2] = 0.0f;
 	val_dir[4064*3 + 0] = -0.695620f;	val_dir[4064*3 + 1] = -0.718059f;	val_dir[4064*3 + 2] = 0.022439f;
 	val_dir[4065*3 + 0] = -0.693746f;	val_dir[4065*3 + 1] = -0.716871f;	val_dir[4065*3 + 2] = 0.069375f;
 	val_dir[4066*3 + 0] = -0.690085f;	val_dir[4066*3 + 1] = -0.713881f;	val_dir[4066*3 + 2] = 0.118980f;
 	val_dir[4067*3 + 0] = -0.684353f;	val_dir[4067*3 + 1] = -0.708794f;	val_dir[4067*3 + 2] = 0.171088f;
 	val_dir[4068*3 + 0] = -0.676269f;	val_dir[4068*3 + 1] = -0.701316f;	val_dir[4068*3 + 2] = 0.225423f;
 	val_dir[4069*3 + 0] = -0.665574f;	val_dir[4069*3 + 1] = -0.691173f;	val_dir[4069*3 + 2] = 0.281589f;
 	val_dir[4070*3 + 0] = -0.652051f;	val_dir[4070*3 + 1] = -0.678133f;	val_dir[4070*3 + 2] = 0.339066f;
 	val_dir[4071*3 + 0] = -0.635553f;	val_dir[4071*3 + 1] = -0.662034f;	val_dir[4071*3 + 2] = 0.397220f;
 	val_dir[4072*3 + 0] = -0.616022f;	val_dir[4072*3 + 1] = -0.642806f;	val_dir[4072*3 + 2] = 0.455321f;
 	val_dir[4073*3 + 0] = -0.593512f;	val_dir[4073*3 + 1] = -0.620490f;	val_dir[4073*3 + 2] = 0.512578f;
 	val_dir[4074*3 + 0] = -0.568190f;	val_dir[4074*3 + 1] = -0.595247f;	val_dir[4074*3 + 2] = 0.568190f;
 	val_dir[4075*3 + 0] = -0.540343f;	val_dir[4075*3 + 1] = -0.567360f;	val_dir[4075*3 + 2] = 0.621395f;
 	val_dir[4076*3 + 0] = -0.510355f;	val_dir[4076*3 + 1] = -0.537215f;	val_dir[4076*3 + 2] = 0.671519f;
 	val_dir[4077*3 + 0] = -0.478683f;	val_dir[4077*3 + 1] = -0.505276f;	val_dir[4077*3 + 2] = 0.718024f;
 	val_dir[4078*3 + 0] = -0.445827f;	val_dir[4078*3 + 1] = -0.472053f;	val_dir[4078*3 + 2] = 0.760529f;
 	val_dir[4079*3 + 0] = -0.412294f;	val_dir[4079*3 + 1] = -0.438063f;	val_dir[4079*3 + 2] = 0.798820f;
 	val_dir[4080*3 + 0] = -0.378566f;	val_dir[4080*3 + 1] = -0.403804f;	val_dir[4080*3 + 2] = 0.832845f;
 	val_dir[4081*3 + 0] = -0.345075f;	val_dir[4081*3 + 1] = -0.369723f;	val_dir[4081*3 + 2] = 0.862687f;
 	val_dir[4082*3 + 0] = -0.312190f;	val_dir[4082*3 + 1] = -0.336204f;	val_dir[4082*3 + 2] = 0.888540f;
 	val_dir[4083*3 + 0] = -0.280209f;	val_dir[4083*3 + 1] = -0.303559f;	val_dir[4083*3 + 2] = 0.910678f;
 	val_dir[4084*3 + 0] = -0.249357f;	val_dir[4084*3 + 1] = -0.272026f;	val_dir[4084*3 + 2] = 0.929421f;
 	val_dir[4085*3 + 0] = -0.219793f;	val_dir[4085*3 + 1] = -0.241773f;	val_dir[4085*3 + 2] = 0.945112f;
 	val_dir[4086*3 + 0] = -0.191620f;	val_dir[4086*3 + 1] = -0.212911f;	val_dir[4086*3 + 2] = 0.958098f;
 	val_dir[4087*3 + 0] = -0.164887f;	val_dir[4087*3 + 1] = -0.185498f;	val_dir[4087*3 + 2] = 0.968712f;
 	val_dir[4088*3 + 0] = -0.139610f;	val_dir[4088*3 + 1] = -0.159554f;	val_dir[4088*3 + 2] = 0.977267f;
 	val_dir[4089*3 + 0] = -0.115771f;	val_dir[4089*3 + 1] = -0.135066f;	val_dir[4089*3 + 2] = 0.984050f;
 	val_dir[4090*3 + 0] = -0.093332f;	val_dir[4090*3 + 1] = -0.111998f;	val_dir[4090*3 + 2] = 0.989316f;
 	val_dir[4091*3 + 0] = -0.072239f;	val_dir[4091*3 + 1] = -0.090299f;	val_dir[4091*3 + 2] = 0.993291f;
 	val_dir[4092*3 + 0] = -0.052430f;	val_dir[4092*3 + 1] = -0.069907f;	val_dir[4092*3 + 2] = 0.996175f;
 	val_dir[4093*3 + 0] = -0.033835f;	val_dir[4093*3 + 1] = -0.050753f;	val_dir[4093*3 + 2] = 0.998138f;
 	val_dir[4094*3 + 0] = -0.016382f;	val_dir[4094*3 + 1] = -0.032765f;	val_dir[4094*3 + 2] = 0.999329f;
 	val_dir[4095*3 + 0] = 0.0f;	val_dir[4095*3 + 1] = -0.015871f;	val_dir[4095*3 + 2] = 0.999874f;
 	val_dir[4096*3 + 0] = 0.015871f;	val_dir[4096*3 + 1] = 0.0f;	val_dir[4096*3 + 2] = 0.999874f;
 	val_dir[4097*3 + 0] = 0.032765f;	val_dir[4097*3 + 1] = 0.016382f;	val_dir[4097*3 + 2] = 0.999329f;
 	val_dir[4098*3 + 0] = 0.050753f;	val_dir[4098*3 + 1] = 0.033835f;	val_dir[4098*3 + 2] = 0.998138f;
 	val_dir[4099*3 + 0] = 0.069907f;	val_dir[4099*3 + 1] = 0.052430f;	val_dir[4099*3 + 2] = 0.996175f;
 	val_dir[4100*3 + 0] = 0.090299f;	val_dir[4100*3 + 1] = 0.072239f;	val_dir[4100*3 + 2] = 0.993291f;
 	val_dir[4101*3 + 0] = 0.111998f;	val_dir[4101*3 + 1] = 0.093332f;	val_dir[4101*3 + 2] = 0.989316f;
 	val_dir[4102*3 + 0] = 0.135066f;	val_dir[4102*3 + 1] = 0.115771f;	val_dir[4102*3 + 2] = 0.984050f;
 	val_dir[4103*3 + 0] = 0.159554f;	val_dir[4103*3 + 1] = 0.139610f;	val_dir[4103*3 + 2] = 0.977267f;
 	val_dir[4104*3 + 0] = 0.185498f;	val_dir[4104*3 + 1] = 0.164887f;	val_dir[4104*3 + 2] = 0.968712f;
 	val_dir[4105*3 + 0] = 0.212911f;	val_dir[4105*3 + 1] = 0.191620f;	val_dir[4105*3 + 2] = 0.958098f;
 	val_dir[4106*3 + 0] = 0.241773f;	val_dir[4106*3 + 1] = 0.219793f;	val_dir[4106*3 + 2] = 0.945112f;
 	val_dir[4107*3 + 0] = 0.272026f;	val_dir[4107*3 + 1] = 0.249357f;	val_dir[4107*3 + 2] = 0.929421f;
 	val_dir[4108*3 + 0] = 0.303559f;	val_dir[4108*3 + 1] = 0.280209f;	val_dir[4108*3 + 2] = 0.910678f;
 	val_dir[4109*3 + 0] = 0.336204f;	val_dir[4109*3 + 1] = 0.312190f;	val_dir[4109*3 + 2] = 0.888540f;
 	val_dir[4110*3 + 0] = 0.369723f;	val_dir[4110*3 + 1] = 0.345075f;	val_dir[4110*3 + 2] = 0.862687f;
 	val_dir[4111*3 + 0] = 0.403804f;	val_dir[4111*3 + 1] = 0.378566f;	val_dir[4111*3 + 2] = 0.832845f;
 	val_dir[4112*3 + 0] = 0.438063f;	val_dir[4112*3 + 1] = 0.412294f;	val_dir[4112*3 + 2] = 0.798820f;
 	val_dir[4113*3 + 0] = 0.472053f;	val_dir[4113*3 + 1] = 0.445827f;	val_dir[4113*3 + 2] = 0.760529f;
 	val_dir[4114*3 + 0] = 0.505276f;	val_dir[4114*3 + 1] = 0.478683f;	val_dir[4114*3 + 2] = 0.718024f;
 	val_dir[4115*3 + 0] = 0.537215f;	val_dir[4115*3 + 1] = 0.510355f;	val_dir[4115*3 + 2] = 0.671519f;
 	val_dir[4116*3 + 0] = 0.567360f;	val_dir[4116*3 + 1] = 0.540343f;	val_dir[4116*3 + 2] = 0.621395f;
 	val_dir[4117*3 + 0] = 0.595247f;	val_dir[4117*3 + 1] = 0.568190f;	val_dir[4117*3 + 2] = 0.568190f;
 	val_dir[4118*3 + 0] = 0.620490f;	val_dir[4118*3 + 1] = 0.593512f;	val_dir[4118*3 + 2] = 0.512578f;
 	val_dir[4119*3 + 0] = 0.642806f;	val_dir[4119*3 + 1] = 0.616022f;	val_dir[4119*3 + 2] = 0.455321f;
 	val_dir[4120*3 + 0] = 0.662034f;	val_dir[4120*3 + 1] = 0.635553f;	val_dir[4120*3 + 2] = 0.397220f;
 	val_dir[4121*3 + 0] = 0.678133f;	val_dir[4121*3 + 1] = 0.652051f;	val_dir[4121*3 + 2] = 0.339066f;
 	val_dir[4122*3 + 0] = 0.691173f;	val_dir[4122*3 + 1] = 0.665574f;	val_dir[4122*3 + 2] = 0.281589f;
 	val_dir[4123*3 + 0] = 0.701316f;	val_dir[4123*3 + 1] = 0.676269f;	val_dir[4123*3 + 2] = 0.225423f;
 	val_dir[4124*3 + 0] = 0.708794f;	val_dir[4124*3 + 1] = 0.684353f;	val_dir[4124*3 + 2] = 0.171088f;
 	val_dir[4125*3 + 0] = 0.713881f;	val_dir[4125*3 + 1] = 0.690085f;	val_dir[4125*3 + 2] = 0.118980f;
 	val_dir[4126*3 + 0] = 0.716871f;	val_dir[4126*3 + 1] = 0.693746f;	val_dir[4126*3 + 2] = 0.069375f;
 	val_dir[4127*3 + 0] = 0.718059f;	val_dir[4127*3 + 1] = 0.695620f;	val_dir[4127*3 + 2] = 0.022439f;
 	val_dir[4128*3 + 0] = -0.707107f;	val_dir[4128*3 + 1] = -0.707107f;	val_dir[4128*3 + 2] = 0.0f;
 	val_dir[4129*3 + 0] = -0.706372f;	val_dir[4129*3 + 1] = -0.706372f;	val_dir[4129*3 + 2] = 0.045572f;
 	val_dir[4130*3 + 0] = -0.703985f;	val_dir[4130*3 + 1] = -0.703985f;	val_dir[4130*3 + 2] = 0.093865f;
 	val_dir[4131*3 + 0] = -0.699659f;	val_dir[4131*3 + 1] = -0.699659f;	val_dir[4131*3 + 2] = 0.144757f;
 	val_dir[4132*3 + 0] = -0.693103f;	val_dir[4132*3 + 1] = -0.693103f;	val_dir[4132*3 + 2] = 0.198030f;
 	val_dir[4133*3 + 0] = -0.684038f;	val_dir[4133*3 + 1] = -0.684038f;	val_dir[4133*3 + 2] = 0.253347f;
 	val_dir[4134*3 + 0] = -0.672214f;	val_dir[4134*3 + 1] = -0.672214f;	val_dir[4134*3 + 2] = 0.310253f;
 	val_dir[4135*3 + 0] = -0.657440f;	val_dir[4135*3 + 1] = -0.657440f;	val_dir[4135*3 + 2] = 0.368166f;
 	val_dir[4136*3 + 0] = -0.639602f;	val_dir[4136*3 + 1] = -0.639602f;	val_dir[4136*3 + 2] = 0.426401f;
 	val_dir[4137*3 + 0] = -0.618691f;	val_dir[4137*3 + 1] = -0.618691f;	val_dir[4137*3 + 2] = 0.484193f;
 	val_dir[4138*3 + 0] = -0.594812f;	val_dir[4138*3 + 1] = -0.594812f;	val_dir[4138*3 + 2] = 0.540738f;
 	val_dir[4139*3 + 0] = -0.568190f;	val_dir[4139*3 + 1] = -0.568190f;	val_dir[4139*3 + 2] = 0.595247f;
 	val_dir[4140*3 + 0] = -0.539164f;	val_dir[4140*3 + 1] = -0.539164f;	val_dir[4140*3 + 2] = 0.646997f;
 	val_dir[4141*3 + 0] = -0.508159f;	val_dir[4141*3 + 1] = -0.508159f;	val_dir[4141*3 + 2] = 0.695376f;
 	val_dir[4142*3 + 0] = -0.475665f;	val_dir[4142*3 + 1] = -0.475665f;	val_dir[4142*3 + 2] = 0.739923f;
 	val_dir[4143*3 + 0] = -0.442193f;	val_dir[4143*3 + 1] = -0.442193f;	val_dir[4143*3 + 2] = 0.780340f;
 	val_dir[4144*3 + 0] = -0.408248f;	val_dir[4144*3 + 1] = -0.408248f;	val_dir[4144*3 + 2] = 0.816497f;
 	val_dir[4145*3 + 0] = -0.374299f;	val_dir[4145*3 + 1] = -0.374299f;	val_dir[4145*3 + 2] = 0.848411f;
 	val_dir[4146*3 + 0] = -0.340755f;	val_dir[4146*3 + 1] = -0.340755f;	val_dir[4146*3 + 2] = 0.876226f;
 	val_dir[4147*3 + 0] = -0.307957f;	val_dir[4147*3 + 1] = -0.307957f;	val_dir[4147*3 + 2] = 0.900181f;
 	val_dir[4148*3 + 0] = -0.276172f;	val_dir[4148*3 + 1] = -0.276172f;	val_dir[4148*3 + 2] = 0.920575f;
 	val_dir[4149*3 + 0] = -0.245599f;	val_dir[4149*3 + 1] = -0.245599f;	val_dir[4149*3 + 2] = 0.937743f;
 	val_dir[4150*3 + 0] = -0.216371f;	val_dir[4150*3 + 1] = -0.216371f;	val_dir[4150*3 + 2] = 0.952033f;
 	val_dir[4151*3 + 0] = -0.188567f;	val_dir[4151*3 + 1] = -0.188567f;	val_dir[4151*3 + 2] = 0.963787f;
 	val_dir[4152*3 + 0] = -0.162221f;	val_dir[4152*3 + 1] = -0.162221f;	val_dir[4152*3 + 2] = 0.973329f;
 	val_dir[4153*3 + 0] = -0.137334f;	val_dir[4153*3 + 1] = -0.137334f;	val_dir[4153*3 + 2] = 0.980958f;
 	val_dir[4154*3 + 0] = -0.113878f;	val_dir[4154*3 + 1] = -0.113878f;	val_dir[4154*3 + 2] = 0.986947f;
 	val_dir[4155*3 + 0] = -0.091809f;	val_dir[4155*3 + 1] = -0.091809f;	val_dir[4155*3 + 2] = 0.991535f;
 	val_dir[4156*3 + 0] = -0.071067f;	val_dir[4156*3 + 1] = -0.071067f;	val_dir[4156*3 + 2] = 0.994937f;
 	val_dir[4157*3 + 0] = -0.051586f;	val_dir[4157*3 + 1] = -0.051586f;	val_dir[4157*3 + 2] = 0.997335f;
 	val_dir[4158*3 + 0] = -0.033296f;	val_dir[4158*3 + 1] = -0.033296f;	val_dir[4158*3 + 2] = 0.998891f;
 	val_dir[4159*3 + 0] = -0.016125f;	val_dir[4159*3 + 1] = -0.016125f;	val_dir[4159*3 + 2] = 0.999740f;
 	val_dir[4160*3 + 0] = 0.0f;	val_dir[4160*3 + 1] = 0.0f;	val_dir[4160*3 + 2] = 1.0f;
 	val_dir[4161*3 + 0] = 0.016125f;	val_dir[4161*3 + 1] = 0.016125f;	val_dir[4161*3 + 2] = 0.999740f;
 	val_dir[4162*3 + 0] = 0.033296f;	val_dir[4162*3 + 1] = 0.033296f;	val_dir[4162*3 + 2] = 0.998891f;
 	val_dir[4163*3 + 0] = 0.051586f;	val_dir[4163*3 + 1] = 0.051586f;	val_dir[4163*3 + 2] = 0.997335f;
 	val_dir[4164*3 + 0] = 0.071067f;	val_dir[4164*3 + 1] = 0.071067f;	val_dir[4164*3 + 2] = 0.994937f;
 	val_dir[4165*3 + 0] = 0.091809f;	val_dir[4165*3 + 1] = 0.091809f;	val_dir[4165*3 + 2] = 0.991535f;
 	val_dir[4166*3 + 0] = 0.113878f;	val_dir[4166*3 + 1] = 0.113878f;	val_dir[4166*3 + 2] = 0.986947f;
 	val_dir[4167*3 + 0] = 0.137334f;	val_dir[4167*3 + 1] = 0.137334f;	val_dir[4167*3 + 2] = 0.980958f;
 	val_dir[4168*3 + 0] = 0.162221f;	val_dir[4168*3 + 1] = 0.162221f;	val_dir[4168*3 + 2] = 0.973329f;
 	val_dir[4169*3 + 0] = 0.188567f;	val_dir[4169*3 + 1] = 0.188567f;	val_dir[4169*3 + 2] = 0.963787f;
 	val_dir[4170*3 + 0] = 0.216371f;	val_dir[4170*3 + 1] = 0.216371f;	val_dir[4170*3 + 2] = 0.952033f;
 	val_dir[4171*3 + 0] = 0.245599f;	val_dir[4171*3 + 1] = 0.245599f;	val_dir[4171*3 + 2] = 0.937743f;
 	val_dir[4172*3 + 0] = 0.276172f;	val_dir[4172*3 + 1] = 0.276172f;	val_dir[4172*3 + 2] = 0.920575f;
 	val_dir[4173*3 + 0] = 0.307957f;	val_dir[4173*3 + 1] = 0.307957f;	val_dir[4173*3 + 2] = 0.900181f;
 	val_dir[4174*3 + 0] = 0.340755f;	val_dir[4174*3 + 1] = 0.340755f;	val_dir[4174*3 + 2] = 0.876226f;
 	val_dir[4175*3 + 0] = 0.374299f;	val_dir[4175*3 + 1] = 0.374299f;	val_dir[4175*3 + 2] = 0.848411f;
 	val_dir[4176*3 + 0] = 0.408248f;	val_dir[4176*3 + 1] = 0.408248f;	val_dir[4176*3 + 2] = 0.816497f;
 	val_dir[4177*3 + 0] = 0.442193f;	val_dir[4177*3 + 1] = 0.442193f;	val_dir[4177*3 + 2] = 0.780340f;
 	val_dir[4178*3 + 0] = 0.475665f;	val_dir[4178*3 + 1] = 0.475665f;	val_dir[4178*3 + 2] = 0.739923f;
 	val_dir[4179*3 + 0] = 0.508159f;	val_dir[4179*3 + 1] = 0.508159f;	val_dir[4179*3 + 2] = 0.695376f;
 	val_dir[4180*3 + 0] = 0.539164f;	val_dir[4180*3 + 1] = 0.539164f;	val_dir[4180*3 + 2] = 0.646997f;
 	val_dir[4181*3 + 0] = 0.568190f;	val_dir[4181*3 + 1] = 0.568190f;	val_dir[4181*3 + 2] = 0.595247f;
 	val_dir[4182*3 + 0] = 0.594812f;	val_dir[4182*3 + 1] = 0.594812f;	val_dir[4182*3 + 2] = 0.540738f;
 	val_dir[4183*3 + 0] = 0.618691f;	val_dir[4183*3 + 1] = 0.618691f;	val_dir[4183*3 + 2] = 0.484193f;
 	val_dir[4184*3 + 0] = 0.639602f;	val_dir[4184*3 + 1] = 0.639602f;	val_dir[4184*3 + 2] = 0.426401f;
 	val_dir[4185*3 + 0] = 0.657440f;	val_dir[4185*3 + 1] = 0.657440f;	val_dir[4185*3 + 2] = 0.368166f;
 	val_dir[4186*3 + 0] = 0.672214f;	val_dir[4186*3 + 1] = 0.672214f;	val_dir[4186*3 + 2] = 0.310253f;
 	val_dir[4187*3 + 0] = 0.684038f;	val_dir[4187*3 + 1] = 0.684038f;	val_dir[4187*3 + 2] = 0.253347f;
 	val_dir[4188*3 + 0] = 0.693103f;	val_dir[4188*3 + 1] = 0.693103f;	val_dir[4188*3 + 2] = 0.198030f;
 	val_dir[4189*3 + 0] = 0.699659f;	val_dir[4189*3 + 1] = 0.699659f;	val_dir[4189*3 + 2] = 0.144757f;
 	val_dir[4190*3 + 0] = 0.703985f;	val_dir[4190*3 + 1] = 0.703985f;	val_dir[4190*3 + 2] = 0.093865f;
 	val_dir[4191*3 + 0] = 0.706372f;	val_dir[4191*3 + 1] = 0.706372f;	val_dir[4191*3 + 2] = 0.045572f;
 	val_dir[4192*3 + 0] = 0.707107f;	val_dir[4192*3 + 1] = 0.707107f;	val_dir[4192*3 + 2] = 0.0f;
 	val_dir[4193*3 + 0] = -0.718059f;	val_dir[4193*3 + 1] = -0.695620f;	val_dir[4193*3 + 2] = 0.022439f;
 	val_dir[4194*3 + 0] = -0.716871f;	val_dir[4194*3 + 1] = -0.693746f;	val_dir[4194*3 + 2] = 0.069375f;
 	val_dir[4195*3 + 0] = -0.713881f;	val_dir[4195*3 + 1] = -0.690085f;	val_dir[4195*3 + 2] = 0.118980f;
 	val_dir[4196*3 + 0] = -0.708794f;	val_dir[4196*3 + 1] = -0.684353f;	val_dir[4196*3 + 2] = 0.171088f;
 	val_dir[4197*3 + 0] = -0.701316f;	val_dir[4197*3 + 1] = -0.676269f;	val_dir[4197*3 + 2] = 0.225423f;
 	val_dir[4198*3 + 0] = -0.691173f;	val_dir[4198*3 + 1] = -0.665574f;	val_dir[4198*3 + 2] = 0.281589f;
 	val_dir[4199*3 + 0] = -0.678133f;	val_dir[4199*3 + 1] = -0.652051f;	val_dir[4199*3 + 2] = 0.339066f;
 	val_dir[4200*3 + 0] = -0.662034f;	val_dir[4200*3 + 1] = -0.635553f;	val_dir[4200*3 + 2] = 0.397220f;
 	val_dir[4201*3 + 0] = -0.642806f;	val_dir[4201*3 + 1] = -0.616022f;	val_dir[4201*3 + 2] = 0.455321f;
 	val_dir[4202*3 + 0] = -0.620490f;	val_dir[4202*3 + 1] = -0.593512f;	val_dir[4202*3 + 2] = 0.512578f;
 	val_dir[4203*3 + 0] = -0.595247f;	val_dir[4203*3 + 1] = -0.568190f;	val_dir[4203*3 + 2] = 0.568190f;
 	val_dir[4204*3 + 0] = -0.567360f;	val_dir[4204*3 + 1] = -0.540343f;	val_dir[4204*3 + 2] = 0.621395f;
 	val_dir[4205*3 + 0] = -0.537215f;	val_dir[4205*3 + 1] = -0.510355f;	val_dir[4205*3 + 2] = 0.671519f;
 	val_dir[4206*3 + 0] = -0.505276f;	val_dir[4206*3 + 1] = -0.478683f;	val_dir[4206*3 + 2] = 0.718024f;
 	val_dir[4207*3 + 0] = -0.472053f;	val_dir[4207*3 + 1] = -0.445827f;	val_dir[4207*3 + 2] = 0.760529f;
 	val_dir[4208*3 + 0] = -0.438063f;	val_dir[4208*3 + 1] = -0.412294f;	val_dir[4208*3 + 2] = 0.798820f;
 	val_dir[4209*3 + 0] = -0.403804f;	val_dir[4209*3 + 1] = -0.378566f;	val_dir[4209*3 + 2] = 0.832845f;
 	val_dir[4210*3 + 0] = -0.369723f;	val_dir[4210*3 + 1] = -0.345075f;	val_dir[4210*3 + 2] = 0.862687f;
 	val_dir[4211*3 + 0] = -0.336204f;	val_dir[4211*3 + 1] = -0.312190f;	val_dir[4211*3 + 2] = 0.888540f;
 	val_dir[4212*3 + 0] = -0.303559f;	val_dir[4212*3 + 1] = -0.280209f;	val_dir[4212*3 + 2] = 0.910678f;
 	val_dir[4213*3 + 0] = -0.272026f;	val_dir[4213*3 + 1] = -0.249357f;	val_dir[4213*3 + 2] = 0.929421f;
 	val_dir[4214*3 + 0] = -0.241773f;	val_dir[4214*3 + 1] = -0.219793f;	val_dir[4214*3 + 2] = 0.945112f;
 	val_dir[4215*3 + 0] = -0.212911f;	val_dir[4215*3 + 1] = -0.191620f;	val_dir[4215*3 + 2] = 0.958098f;
 	val_dir[4216*3 + 0] = -0.185498f;	val_dir[4216*3 + 1] = -0.164887f;	val_dir[4216*3 + 2] = 0.968712f;
 	val_dir[4217*3 + 0] = -0.159554f;	val_dir[4217*3 + 1] = -0.139610f;	val_dir[4217*3 + 2] = 0.977267f;
 	val_dir[4218*3 + 0] = -0.135066f;	val_dir[4218*3 + 1] = -0.115771f;	val_dir[4218*3 + 2] = 0.984050f;
 	val_dir[4219*3 + 0] = -0.111998f;	val_dir[4219*3 + 1] = -0.093332f;	val_dir[4219*3 + 2] = 0.989316f;
 	val_dir[4220*3 + 0] = -0.090299f;	val_dir[4220*3 + 1] = -0.072239f;	val_dir[4220*3 + 2] = 0.993291f;
 	val_dir[4221*3 + 0] = -0.069907f;	val_dir[4221*3 + 1] = -0.052430f;	val_dir[4221*3 + 2] = 0.996175f;
 	val_dir[4222*3 + 0] = -0.050753f;	val_dir[4222*3 + 1] = -0.033835f;	val_dir[4222*3 + 2] = 0.998138f;
 	val_dir[4223*3 + 0] = -0.032765f;	val_dir[4223*3 + 1] = -0.016382f;	val_dir[4223*3 + 2] = 0.999329f;
 	val_dir[4224*3 + 0] = -0.015871f;	val_dir[4224*3 + 1] = 0.0f;	val_dir[4224*3 + 2] = 0.999874f;
 	val_dir[4225*3 + 0] = 0.0f;	val_dir[4225*3 + 1] = 0.015871f;	val_dir[4225*3 + 2] = 0.999874f;
 	val_dir[4226*3 + 0] = 0.016382f;	val_dir[4226*3 + 1] = 0.032765f;	val_dir[4226*3 + 2] = 0.999329f;
 	val_dir[4227*3 + 0] = 0.033835f;	val_dir[4227*3 + 1] = 0.050753f;	val_dir[4227*3 + 2] = 0.998138f;
 	val_dir[4228*3 + 0] = 0.052430f;	val_dir[4228*3 + 1] = 0.069907f;	val_dir[4228*3 + 2] = 0.996175f;
 	val_dir[4229*3 + 0] = 0.072239f;	val_dir[4229*3 + 1] = 0.090299f;	val_dir[4229*3 + 2] = 0.993291f;
 	val_dir[4230*3 + 0] = 0.093332f;	val_dir[4230*3 + 1] = 0.111998f;	val_dir[4230*3 + 2] = 0.989316f;
 	val_dir[4231*3 + 0] = 0.115771f;	val_dir[4231*3 + 1] = 0.135066f;	val_dir[4231*3 + 2] = 0.984050f;
 	val_dir[4232*3 + 0] = 0.139610f;	val_dir[4232*3 + 1] = 0.159554f;	val_dir[4232*3 + 2] = 0.977267f;
 	val_dir[4233*3 + 0] = 0.164887f;	val_dir[4233*3 + 1] = 0.185498f;	val_dir[4233*3 + 2] = 0.968712f;
 	val_dir[4234*3 + 0] = 0.191620f;	val_dir[4234*3 + 1] = 0.212911f;	val_dir[4234*3 + 2] = 0.958098f;
 	val_dir[4235*3 + 0] = 0.219793f;	val_dir[4235*3 + 1] = 0.241773f;	val_dir[4235*3 + 2] = 0.945112f;
 	val_dir[4236*3 + 0] = 0.249357f;	val_dir[4236*3 + 1] = 0.272026f;	val_dir[4236*3 + 2] = 0.929421f;
 	val_dir[4237*3 + 0] = 0.280209f;	val_dir[4237*3 + 1] = 0.303559f;	val_dir[4237*3 + 2] = 0.910678f;
 	val_dir[4238*3 + 0] = 0.312190f;	val_dir[4238*3 + 1] = 0.336204f;	val_dir[4238*3 + 2] = 0.888540f;
 	val_dir[4239*3 + 0] = 0.345075f;	val_dir[4239*3 + 1] = 0.369723f;	val_dir[4239*3 + 2] = 0.862687f;
 	val_dir[4240*3 + 0] = 0.378566f;	val_dir[4240*3 + 1] = 0.403804f;	val_dir[4240*3 + 2] = 0.832845f;
 	val_dir[4241*3 + 0] = 0.412294f;	val_dir[4241*3 + 1] = 0.438063f;	val_dir[4241*3 + 2] = 0.798820f;
 	val_dir[4242*3 + 0] = 0.445827f;	val_dir[4242*3 + 1] = 0.472053f;	val_dir[4242*3 + 2] = 0.760529f;
 	val_dir[4243*3 + 0] = 0.478683f;	val_dir[4243*3 + 1] = 0.505276f;	val_dir[4243*3 + 2] = 0.718024f;
 	val_dir[4244*3 + 0] = 0.510355f;	val_dir[4244*3 + 1] = 0.537215f;	val_dir[4244*3 + 2] = 0.671519f;
 	val_dir[4245*3 + 0] = 0.540343f;	val_dir[4245*3 + 1] = 0.567360f;	val_dir[4245*3 + 2] = 0.621395f;
 	val_dir[4246*3 + 0] = 0.568190f;	val_dir[4246*3 + 1] = 0.595247f;	val_dir[4246*3 + 2] = 0.568190f;
 	val_dir[4247*3 + 0] = 0.593512f;	val_dir[4247*3 + 1] = 0.620490f;	val_dir[4247*3 + 2] = 0.512578f;
 	val_dir[4248*3 + 0] = 0.616022f;	val_dir[4248*3 + 1] = 0.642806f;	val_dir[4248*3 + 2] = 0.455321f;
 	val_dir[4249*3 + 0] = 0.635553f;	val_dir[4249*3 + 1] = 0.662034f;	val_dir[4249*3 + 2] = 0.397220f;
 	val_dir[4250*3 + 0] = 0.652051f;	val_dir[4250*3 + 1] = 0.678133f;	val_dir[4250*3 + 2] = 0.339066f;
 	val_dir[4251*3 + 0] = 0.665574f;	val_dir[4251*3 + 1] = 0.691173f;	val_dir[4251*3 + 2] = 0.281589f;
 	val_dir[4252*3 + 0] = 0.676269f;	val_dir[4252*3 + 1] = 0.701316f;	val_dir[4252*3 + 2] = 0.225423f;
 	val_dir[4253*3 + 0] = 0.684353f;	val_dir[4253*3 + 1] = 0.708794f;	val_dir[4253*3 + 2] = 0.171088f;
 	val_dir[4254*3 + 0] = 0.690085f;	val_dir[4254*3 + 1] = 0.713881f;	val_dir[4254*3 + 2] = 0.118980f;
 	val_dir[4255*3 + 0] = 0.693746f;	val_dir[4255*3 + 1] = 0.716871f;	val_dir[4255*3 + 2] = 0.069375f;
 	val_dir[4256*3 + 0] = 0.695620f;	val_dir[4256*3 + 1] = 0.718059f;	val_dir[4256*3 + 2] = 0.022439f;
 	val_dir[4257*3 + 0] = -0.728848f;	val_dir[4257*3 + 1] = -0.684675f;	val_dir[4257*3 + 2] = 0.0f;
 	val_dir[4258*3 + 0] = -0.728780f;	val_dir[4258*3 + 1] = -0.683231f;	val_dir[4258*3 + 2] = 0.045549f;
 	val_dir[4259*3 + 0] = -0.727051f;	val_dir[4259*3 + 1] = -0.680144f;	val_dir[4259*3 + 2] = 0.093813f;
 	val_dir[4260*3 + 0] = -0.723364f;	val_dir[4260*3 + 1] = -0.675140f;	val_dir[4260*3 + 2] = 0.144673f;
 	val_dir[4261*3 + 0] = -0.717418f;	val_dir[4261*3 + 1] = -0.667940f;	val_dir[4261*3 + 2] = 0.197908f;
 	val_dir[4262*3 + 0] = -0.708918f;	val_dir[4262*3 + 1] = -0.658281f;	val_dir[4262*3 + 2] = 0.253185f;
 	val_dir[4263*3 + 0] = -0.697602f;	val_dir[4263*3 + 1] = -0.645928f;	val_dir[4263*3 + 2] = 0.310045f;
 	val_dir[4264*3 + 0] = -0.683265f;	val_dir[4264*3 + 1] = -0.630706f;	val_dir[4264*3 + 2] = 0.367912f;
 	val_dir[4265*3 + 0] = -0.665780f;	val_dir[4265*3 + 1] = -0.612517f;	val_dir[4265*3 + 2] = 0.426099f;
 	val_dir[4266*3 + 0] = -0.645124f;	val_dir[4266*3 + 1] = -0.591364f;	val_dir[4266*3 + 2] = 0.483843f;
 	val_dir[4267*3 + 0] = -0.621395f;	val_dir[4267*3 + 1] = -0.567360f;	val_dir[4267*3 + 2] = 0.540343f;
 	val_dir[4268*3 + 0] = -0.594812f;	val_dir[4268*3 + 1] = -0.540738f;	val_dir[4268*3 + 2] = 0.594812f;
 	val_dir[4269*3 + 0] = -0.565711f;	val_dir[4269*3 + 1] = -0.511834f;	val_dir[4269*3 + 2] = 0.646527f;
 	val_dir[4270*3 + 0] = -0.534522f;	val_dir[4270*3 + 1] = -0.481070f;	val_dir[4270*3 + 2] = 0.694879f;
 	val_dir[4271*3 + 0] = -0.501740f;	val_dir[4271*3 + 1] = -0.448926f;	val_dir[4271*3 + 2] = 0.739407f;
 	val_dir[4272*3 + 0] = -0.467888f;	val_dir[4272*3 + 1] = -0.41590f;	val_dir[4272*3 + 2] = 0.779813f;
 	val_dir[4273*3 + 0] = -0.433482f;	val_dir[4273*3 + 1] = -0.382484f;	val_dir[4273*3 + 2] = 0.815966f;
 	val_dir[4274*3 + 0] = -0.399004f;	val_dir[4274*3 + 1] = -0.349128f;	val_dir[4274*3 + 2] = 0.847883f;
 	val_dir[4275*3 + 0] = -0.364878f;	val_dir[4275*3 + 1] = -0.316228f;	val_dir[4275*3 + 2] = 0.875708f;
 	val_dir[4276*3 + 0] = -0.331460f;	val_dir[4276*3 + 1] = -0.284108f;	val_dir[4276*3 + 2] = 0.899676f;
 	val_dir[4277*3 + 0] = -0.299028f;	val_dir[4277*3 + 1] = -0.253024f;	val_dir[4277*3 + 2] = 0.920087f;
 	val_dir[4278*3 + 0] = -0.267793f;	val_dir[4278*3 + 1] = -0.223161f;	val_dir[4278*3 + 2] = 0.937276f;
 	val_dir[4279*3 + 0] = -0.237897f;	val_dir[4279*3 + 1] = -0.194643f;	val_dir[4279*3 + 2] = 0.951588f;
 	val_dir[4280*3 + 0] = -0.209427f;	val_dir[4280*3 + 1] = -0.167542f;	val_dir[4280*3 + 2] = 0.963364f;
 	val_dir[4281*3 + 0] = -0.182424f;	val_dir[4281*3 + 1] = -0.141885f;	val_dir[4281*3 + 2] = 0.972929f;
 	val_dir[4282*3 + 0] = -0.156893f;	val_dir[4282*3 + 1] = -0.117670f;	val_dir[4282*3 + 2] = 0.980581f;
 	val_dir[4283*3 + 0] = -0.132810f;	val_dir[4283*3 + 1] = -0.094865f;	val_dir[4283*3 + 2] = 0.986591f;
 	val_dir[4284*3 + 0] = -0.110133f;	val_dir[4284*3 + 1] = -0.073422f;	val_dir[4284*3 + 2] = 0.991201f;
 	val_dir[4285*3 + 0] = -0.088806f;	val_dir[4285*3 + 1] = -0.053283f;	val_dir[4285*3 + 2] = 0.994623f;
 	val_dir[4286*3 + 0] = -0.068761f;	val_dir[4286*3 + 1] = -0.034381f;	val_dir[4286*3 + 2] = 0.997041f;
 	val_dir[4287*3 + 0] = -0.049931f;	val_dir[4287*3 + 1] = -0.016644f;	val_dir[4287*3 + 2] = 0.998614f;
 	val_dir[4288*3 + 0] = -0.032241f;	val_dir[4288*3 + 1] = 0.0f;	val_dir[4288*3 + 2] = 0.999480f;
 	val_dir[4289*3 + 0] = -0.016125f;	val_dir[4289*3 + 1] = 0.016125f;	val_dir[4289*3 + 2] = 0.999740f;
 	val_dir[4290*3 + 0] = 0.0f;	val_dir[4290*3 + 1] = 0.032241f;	val_dir[4290*3 + 2] = 0.999480f;
 	val_dir[4291*3 + 0] = 0.016644f;	val_dir[4291*3 + 1] = 0.049931f;	val_dir[4291*3 + 2] = 0.998614f;
 	val_dir[4292*3 + 0] = 0.034381f;	val_dir[4292*3 + 1] = 0.068761f;	val_dir[4292*3 + 2] = 0.997041f;
 	val_dir[4293*3 + 0] = 0.053283f;	val_dir[4293*3 + 1] = 0.088806f;	val_dir[4293*3 + 2] = 0.994623f;
 	val_dir[4294*3 + 0] = 0.073422f;	val_dir[4294*3 + 1] = 0.110133f;	val_dir[4294*3 + 2] = 0.991201f;
 	val_dir[4295*3 + 0] = 0.094865f;	val_dir[4295*3 + 1] = 0.132810f;	val_dir[4295*3 + 2] = 0.986591f;
 	val_dir[4296*3 + 0] = 0.117670f;	val_dir[4296*3 + 1] = 0.156893f;	val_dir[4296*3 + 2] = 0.980581f;
 	val_dir[4297*3 + 0] = 0.141885f;	val_dir[4297*3 + 1] = 0.182424f;	val_dir[4297*3 + 2] = 0.972929f;
 	val_dir[4298*3 + 0] = 0.167542f;	val_dir[4298*3 + 1] = 0.209427f;	val_dir[4298*3 + 2] = 0.963364f;
 	val_dir[4299*3 + 0] = 0.194643f;	val_dir[4299*3 + 1] = 0.237897f;	val_dir[4299*3 + 2] = 0.951588f;
 	val_dir[4300*3 + 0] = 0.223161f;	val_dir[4300*3 + 1] = 0.267793f;	val_dir[4300*3 + 2] = 0.937276f;
 	val_dir[4301*3 + 0] = 0.253024f;	val_dir[4301*3 + 1] = 0.299028f;	val_dir[4301*3 + 2] = 0.920087f;
 	val_dir[4302*3 + 0] = 0.284108f;	val_dir[4302*3 + 1] = 0.331460f;	val_dir[4302*3 + 2] = 0.899676f;
 	val_dir[4303*3 + 0] = 0.316228f;	val_dir[4303*3 + 1] = 0.364878f;	val_dir[4303*3 + 2] = 0.875708f;
 	val_dir[4304*3 + 0] = 0.349128f;	val_dir[4304*3 + 1] = 0.399004f;	val_dir[4304*3 + 2] = 0.847883f;
 	val_dir[4305*3 + 0] = 0.382484f;	val_dir[4305*3 + 1] = 0.433482f;	val_dir[4305*3 + 2] = 0.815966f;
 	val_dir[4306*3 + 0] = 0.41590f;	val_dir[4306*3 + 1] = 0.467888f;	val_dir[4306*3 + 2] = 0.779813f;
 	val_dir[4307*3 + 0] = 0.448926f;	val_dir[4307*3 + 1] = 0.501740f;	val_dir[4307*3 + 2] = 0.739407f;
 	val_dir[4308*3 + 0] = 0.481070f;	val_dir[4308*3 + 1] = 0.534522f;	val_dir[4308*3 + 2] = 0.694879f;
 	val_dir[4309*3 + 0] = 0.511834f;	val_dir[4309*3 + 1] = 0.565711f;	val_dir[4309*3 + 2] = 0.646527f;
 	val_dir[4310*3 + 0] = 0.540738f;	val_dir[4310*3 + 1] = 0.594812f;	val_dir[4310*3 + 2] = 0.594812f;
 	val_dir[4311*3 + 0] = 0.567360f;	val_dir[4311*3 + 1] = 0.621395f;	val_dir[4311*3 + 2] = 0.540343f;
 	val_dir[4312*3 + 0] = 0.591364f;	val_dir[4312*3 + 1] = 0.645124f;	val_dir[4312*3 + 2] = 0.483843f;
 	val_dir[4313*3 + 0] = 0.612517f;	val_dir[4313*3 + 1] = 0.665780f;	val_dir[4313*3 + 2] = 0.426099f;
 	val_dir[4314*3 + 0] = 0.630706f;	val_dir[4314*3 + 1] = 0.683265f;	val_dir[4314*3 + 2] = 0.367912f;
 	val_dir[4315*3 + 0] = 0.645928f;	val_dir[4315*3 + 1] = 0.697602f;	val_dir[4315*3 + 2] = 0.310045f;
 	val_dir[4316*3 + 0] = 0.658281f;	val_dir[4316*3 + 1] = 0.708918f;	val_dir[4316*3 + 2] = 0.253185f;
 	val_dir[4317*3 + 0] = 0.667940f;	val_dir[4317*3 + 1] = 0.717418f;	val_dir[4317*3 + 2] = 0.197908f;
 	val_dir[4318*3 + 0] = 0.675140f;	val_dir[4318*3 + 1] = 0.723364f;	val_dir[4318*3 + 2] = 0.144673f;
 	val_dir[4319*3 + 0] = 0.680144f;	val_dir[4319*3 + 1] = 0.727051f;	val_dir[4319*3 + 2] = 0.093813f;
 	val_dir[4320*3 + 0] = 0.683231f;	val_dir[4320*3 + 1] = 0.728780f;	val_dir[4320*3 + 2] = 0.045549f;
 	val_dir[4321*3 + 0] = 0.684675f;	val_dir[4321*3 + 1] = 0.728848f;	val_dir[4321*3 + 2] = 0.0f;
 	val_dir[4322*3 + 0] = -0.739754f;	val_dir[4322*3 + 1] = -0.672504f;	val_dir[4322*3 + 2] = 0.022417f;
 	val_dir[4323*3 + 0] = -0.739205f;	val_dir[4323*3 + 1] = -0.669905f;	val_dir[4323*3 + 2] = 0.069301f;
 	val_dir[4324*3 + 0] = -0.736843f;	val_dir[4324*3 + 1] = -0.665536f;	val_dir[4324*3 + 2] = 0.118846f;
 	val_dir[4325*3 + 0] = -0.732361f;	val_dir[4325*3 + 1] = -0.659125f;	val_dir[4325*3 + 2] = 0.170884f;
 	val_dir[4326*3 + 0] = -0.725454f;	val_dir[4326*3 + 1] = -0.650407f;	val_dir[4326*3 + 2] = 0.225141f;
 	val_dir[4327*3 + 0] = -0.715834f;	val_dir[4327*3 + 1] = -0.639138f;	val_dir[4327*3 + 2] = 0.281220f;
 	val_dir[4328*3 + 0] = -0.703259f;	val_dir[4328*3 + 1] = -0.625119f;	val_dir[4328*3 + 2] = 0.338606f;
 	val_dir[4329*3 + 0] = -0.687552f;	val_dir[4329*3 + 1] = -0.608219f;	val_dir[4329*3 + 2] = 0.396664f;
 	val_dir[4330*3 + 0] = -0.668631f;	val_dir[4330*3 + 1] = -0.588395f;	val_dir[4330*3 + 2] = 0.454669f;
 	val_dir[4331*3 + 0] = -0.646527f;	val_dir[4331*3 + 1] = -0.565711f;	val_dir[4331*3 + 2] = 0.511834f;
 	val_dir[4332*3 + 0] = -0.621395f;	val_dir[4332*3 + 1] = -0.540343f;	val_dir[4332*3 + 2] = 0.567360f;
 	val_dir[4333*3 + 0] = -0.593512f;	val_dir[4333*3 + 1] = -0.512578f;	val_dir[4333*3 + 2] = 0.620490f;
 	val_dir[4334*3 + 0] = -0.563264f;	val_dir[4334*3 + 1] = -0.482798f;	val_dir[4334*3 + 2] = 0.670552f;
 	val_dir[4335*3 + 0] = -0.531119f;	val_dir[4335*3 + 1] = -0.451451f;	val_dir[4335*3 + 2] = 0.717011f;
 	val_dir[4336*3 + 0] = -0.497594f;	val_dir[4336*3 + 1] = -0.419026f;	val_dir[4336*3 + 2] = 0.759485f;
 	val_dir[4337*3 + 0] = -0.463217f;	val_dir[4337*3 + 1] = -0.386014f;	val_dir[4337*3 + 2] = 0.797762f;
 	val_dir[4338*3 + 0] = -0.428496f;	val_dir[4338*3 + 1] = -0.352879f;	val_dir[4338*3 + 2] = 0.831786f;
 	val_dir[4339*3 + 0] = -0.393893f;	val_dir[4339*3 + 1] = -0.320038f;	val_dir[4339*3 + 2] = 0.861640f;
 	val_dir[4340*3 + 0] = -0.359804f;	val_dir[4340*3 + 1] = -0.287843f;	val_dir[4340*3 + 2] = 0.887517f;
 	val_dir[4341*3 + 0] = -0.326554f;	val_dir[4341*3 + 1] = -0.256578f;	val_dir[4341*3 + 2] = 0.909687f;
 	val_dir[4342*3 + 0] = -0.294392f;	val_dir[4342*3 + 1] = -0.226455f;	val_dir[4342*3 + 2] = 0.928467f;
 	val_dir[4343*3 + 0] = -0.263498f;	val_dir[4343*3 + 1] = -0.197623f;	val_dir[4343*3 + 2] = 0.94420f;
 	val_dir[4344*3 + 0] = -0.233990f;	val_dir[4344*3 + 1] = -0.170174f;	val_dir[4344*3 + 2] = 0.957230f;
 	val_dir[4345*3 + 0] = -0.205934f;	val_dir[4345*3 + 1] = -0.144154f;	val_dir[4345*3 + 2] = 0.967890f;
 	val_dir[4346*3 + 0] = -0.179355f;	val_dir[4346*3 + 1] = -0.119570f;	val_dir[4346*3 + 2] = 0.976491f;
 	val_dir[4347*3 + 0] = -0.154246f;	val_dir[4347*3 + 1] = -0.096404f;	val_dir[4347*3 + 2] = 0.983318f;
 	val_dir[4348*3 + 0] = -0.130573f;	val_dir[4348*3 + 1] = -0.074613f;	val_dir[4348*3 + 2] = 0.988627f;
 	val_dir[4349*3 + 0] = -0.108288f;	val_dir[4349*3 + 1] = -0.054144f;	val_dir[4349*3 + 2] = 0.992644f;
 	val_dir[4350*3 + 0] = -0.087330f;	val_dir[4350*3 + 1] = -0.034932f;	val_dir[4350*3 + 2] = 0.995567f;
 	val_dir[4351*3 + 0] = -0.067632f;	val_dir[4351*3 + 1] = -0.016908f;	val_dir[4351*3 + 2] = 0.997567f;
 	val_dir[4352*3 + 0] = -0.049121f;	val_dir[4352*3 + 1] = 0.0f;	val_dir[4352*3 + 2] = 0.998793f;
 	val_dir[4353*3 + 0] = -0.032765f;	val_dir[4353*3 + 1] = 0.016382f;	val_dir[4353*3 + 2] = 0.999329f;
 	val_dir[4354*3 + 0] = -0.016382f;	val_dir[4354*3 + 1] = 0.032765f;	val_dir[4354*3 + 2] = 0.999329f;
 	val_dir[4355*3 + 0] = 0.0f;	val_dir[4355*3 + 1] = 0.049121f;	val_dir[4355*3 + 2] = 0.998793f;
 	val_dir[4356*3 + 0] = 0.016908f;	val_dir[4356*3 + 1] = 0.067632f;	val_dir[4356*3 + 2] = 0.997567f;
 	val_dir[4357*3 + 0] = 0.034932f;	val_dir[4357*3 + 1] = 0.087330f;	val_dir[4357*3 + 2] = 0.995567f;
 	val_dir[4358*3 + 0] = 0.054144f;	val_dir[4358*3 + 1] = 0.108288f;	val_dir[4358*3 + 2] = 0.992644f;
 	val_dir[4359*3 + 0] = 0.074613f;	val_dir[4359*3 + 1] = 0.130573f;	val_dir[4359*3 + 2] = 0.988627f;
 	val_dir[4360*3 + 0] = 0.096404f;	val_dir[4360*3 + 1] = 0.154246f;	val_dir[4360*3 + 2] = 0.983318f;
 	val_dir[4361*3 + 0] = 0.119570f;	val_dir[4361*3 + 1] = 0.179355f;	val_dir[4361*3 + 2] = 0.976491f;
 	val_dir[4362*3 + 0] = 0.144154f;	val_dir[4362*3 + 1] = 0.205934f;	val_dir[4362*3 + 2] = 0.967890f;
 	val_dir[4363*3 + 0] = 0.170174f;	val_dir[4363*3 + 1] = 0.233990f;	val_dir[4363*3 + 2] = 0.957230f;
 	val_dir[4364*3 + 0] = 0.197623f;	val_dir[4364*3 + 1] = 0.263498f;	val_dir[4364*3 + 2] = 0.94420f;
 	val_dir[4365*3 + 0] = 0.226455f;	val_dir[4365*3 + 1] = 0.294392f;	val_dir[4365*3 + 2] = 0.928467f;
 	val_dir[4366*3 + 0] = 0.256578f;	val_dir[4366*3 + 1] = 0.326554f;	val_dir[4366*3 + 2] = 0.909687f;
 	val_dir[4367*3 + 0] = 0.287843f;	val_dir[4367*3 + 1] = 0.359804f;	val_dir[4367*3 + 2] = 0.887517f;
 	val_dir[4368*3 + 0] = 0.320038f;	val_dir[4368*3 + 1] = 0.393893f;	val_dir[4368*3 + 2] = 0.861640f;
 	val_dir[4369*3 + 0] = 0.352879f;	val_dir[4369*3 + 1] = 0.428496f;	val_dir[4369*3 + 2] = 0.831786f;
 	val_dir[4370*3 + 0] = 0.386014f;	val_dir[4370*3 + 1] = 0.463217f;	val_dir[4370*3 + 2] = 0.797762f;
 	val_dir[4371*3 + 0] = 0.419026f;	val_dir[4371*3 + 1] = 0.497594f;	val_dir[4371*3 + 2] = 0.759485f;
 	val_dir[4372*3 + 0] = 0.451451f;	val_dir[4372*3 + 1] = 0.531119f;	val_dir[4372*3 + 2] = 0.717011f;
 	val_dir[4373*3 + 0] = 0.482798f;	val_dir[4373*3 + 1] = 0.563264f;	val_dir[4373*3 + 2] = 0.670552f;
 	val_dir[4374*3 + 0] = 0.512578f;	val_dir[4374*3 + 1] = 0.593512f;	val_dir[4374*3 + 2] = 0.620490f;
 	val_dir[4375*3 + 0] = 0.540343f;	val_dir[4375*3 + 1] = 0.621395f;	val_dir[4375*3 + 2] = 0.567360f;
 	val_dir[4376*3 + 0] = 0.565711f;	val_dir[4376*3 + 1] = 0.646527f;	val_dir[4376*3 + 2] = 0.511834f;
 	val_dir[4377*3 + 0] = 0.588395f;	val_dir[4377*3 + 1] = 0.668631f;	val_dir[4377*3 + 2] = 0.454669f;
 	val_dir[4378*3 + 0] = 0.608219f;	val_dir[4378*3 + 1] = 0.687552f;	val_dir[4378*3 + 2] = 0.396664f;
 	val_dir[4379*3 + 0] = 0.625119f;	val_dir[4379*3 + 1] = 0.703259f;	val_dir[4379*3 + 2] = 0.338606f;
 	val_dir[4380*3 + 0] = 0.639138f;	val_dir[4380*3 + 1] = 0.715834f;	val_dir[4380*3 + 2] = 0.281220f;
 	val_dir[4381*3 + 0] = 0.650407f;	val_dir[4381*3 + 1] = 0.725454f;	val_dir[4381*3 + 2] = 0.225141f;
 	val_dir[4382*3 + 0] = 0.659125f;	val_dir[4382*3 + 1] = 0.732361f;	val_dir[4382*3 + 2] = 0.170884f;
 	val_dir[4383*3 + 0] = 0.665536f;	val_dir[4383*3 + 1] = 0.736843f;	val_dir[4383*3 + 2] = 0.118846f;
 	val_dir[4384*3 + 0] = 0.669905f;	val_dir[4384*3 + 1] = 0.739205f;	val_dir[4384*3 + 2] = 0.069301f;
 	val_dir[4385*3 + 0] = 0.672504f;	val_dir[4385*3 + 1] = 0.739754f;	val_dir[4385*3 + 2] = 0.022417f;
 	val_dir[4386*3 + 0] = -0.749838f;	val_dir[4386*3 + 1] = -0.661622f;	val_dir[4386*3 + 2] = 0.0f;
 	val_dir[4387*3 + 0] = -0.750388f;	val_dir[4387*3 + 1] = -0.659432f;	val_dir[4387*3 + 2] = 0.045478f;
 	val_dir[4388*3 + 0] = -0.749269f;	val_dir[4388*3 + 1] = -0.655610f;	val_dir[4388*3 + 2] = 0.093659f;
 	val_dir[4389*3 + 0] = -0.746176f;	val_dir[4389*3 + 1] = -0.649895f;	val_dir[4389*3 + 2] = 0.144421f;
 	val_dir[4390*3 + 0] = -0.740797f;	val_dir[4390*3 + 1] = -0.642024f;	val_dir[4390*3 + 2] = 0.197546f;
 	val_dir[4391*3 + 0] = -0.732828f;	val_dir[4391*3 + 1] = -0.631748f;	val_dir[4391*3 + 2] = 0.252699f;
 	val_dir[4392*3 + 0] = -0.721995f;	val_dir[4392*3 + 1] = -0.618853f;	val_dir[4392*3 + 2] = 0.309426f;
 	val_dir[4393*3 + 0] = -0.708079f;	val_dir[4393*3 + 1] = -0.603178f;	val_dir[4393*3 + 2] = 0.367152f;
 	val_dir[4394*3 + 0] = -0.690942f;	val_dir[4394*3 + 1] = -0.584643f;	val_dir[4394*3 + 2] = 0.425195f;
 	val_dir[4395*3 + 0] = -0.670552f;	val_dir[4395*3 + 1] = -0.563264f;	val_dir[4395*3 + 2] = 0.482798f;
 	val_dir[4396*3 + 0] = -0.646997f;	val_dir[4396*3 + 1] = -0.539164f;	val_dir[4396*3 + 2] = 0.539164f;
 	val_dir[4397*3 + 0] = -0.620490f;	val_dir[4397*3 + 1] = -0.512578f;	val_dir[4397*3 + 2] = 0.593512f;
 	val_dir[4398*3 + 0] = -0.591364f;	val_dir[4398*3 + 1] = -0.483843f;	val_dir[4398*3 + 2] = 0.645124f;
 	val_dir[4399*3 + 0] = -0.560050f;	val_dir[4399*3 + 1] = -0.453374f;	val_dir[4399*3 + 2] = 0.693395f;
 	val_dir[4400*3 + 0] = -0.527046f;	val_dir[4400*3 + 1] = -0.421637f;	val_dir[4400*3 + 2] = 0.737865f;
 	val_dir[4401*3 + 0] = -0.492883f;	val_dir[4401*3 + 1] = -0.389118f;	val_dir[4401*3 + 2] = 0.778237f;
 	val_dir[4402*3 + 0] = -0.458088f;	val_dir[4402*3 + 1] = -0.356291f;	val_dir[4402*3 + 2] = 0.814379f;
 	val_dir[4403*3 + 0] = -0.423153f;	val_dir[4403*3 + 1] = -0.323587f;	val_dir[4403*3 + 2] = 0.846305f;
 	val_dir[4404*3 + 0] = -0.388514f;	val_dir[4404*3 + 1] = -0.291386f;	val_dir[4404*3 + 2] = 0.874157f;
 	val_dir[4405*3 + 0] = -0.354540f;	val_dir[4405*3 + 1] = -0.259996f;	val_dir[4405*3 + 2] = 0.898167f;
 	val_dir[4406*3 + 0] = -0.321521f;	val_dir[4406*3 + 1] = -0.229658f;	val_dir[4406*3 + 2] = 0.918630f;
 	val_dir[4407*3 + 0] = -0.289677f;	val_dir[4407*3 + 1] = -0.200545f;	val_dir[4407*3 + 2] = 0.935879f;
 	val_dir[4408*3 + 0] = -0.259161f;	val_dir[4408*3 + 1] = -0.172774f;	val_dir[4408*3 + 2] = 0.950255f;
 	val_dir[4409*3 + 0] = -0.230067f;	val_dir[4409*3 + 1] = -0.146406f;	val_dir[4409*3 + 2] = 0.962099f;
 	val_dir[4410*3 + 0] = -0.202444f;	val_dir[4410*3 + 1] = -0.121466f;	val_dir[4410*3 + 2] = 0.971732f;
 	val_dir[4411*3 + 0] = -0.176301f;	val_dir[4411*3 + 1] = -0.097945f;	val_dir[4411*3 + 2] = 0.979451f;
 	val_dir[4412*3 + 0] = -0.151620f;	val_dir[4412*3 + 1] = -0.075810f;	val_dir[4412*3 + 2] = 0.985527f;
 	val_dir[4413*3 + 0] = -0.128359f;	val_dir[4413*3 + 1] = -0.055011f;	val_dir[4413*3 + 2] = 0.990201f;
 	val_dir[4414*3 + 0] = -0.106466f;	val_dir[4414*3 + 1] = -0.035489f;	val_dir[4414*3 + 2] = 0.993683f;
 	val_dir[4415*3 + 0] = -0.085876f;	val_dir[4415*3 + 1] = -0.017175f;	val_dir[4415*3 + 2] = 0.996158f;
 	val_dir[4416*3 + 0] = -0.066519f;	val_dir[4416*3 + 1] = 0.0f;	val_dir[4416*3 + 2] = 0.997785f;
 	val_dir[4417*3 + 0] = -0.049931f;	val_dir[4417*3 + 1] = 0.016644f;	val_dir[4417*3 + 2] = 0.998614f;
 	val_dir[4418*3 + 0] = -0.033296f;	val_dir[4418*3 + 1] = 0.033296f;	val_dir[4418*3 + 2] = 0.998891f;
 	val_dir[4419*3 + 0] = -0.016644f;	val_dir[4419*3 + 1] = 0.049931f;	val_dir[4419*3 + 2] = 0.998614f;
 	val_dir[4420*3 + 0] = 0.0f;	val_dir[4420*3 + 1] = 0.066519f;	val_dir[4420*3 + 2] = 0.997785f;
 	val_dir[4421*3 + 0] = 0.017175f;	val_dir[4421*3 + 1] = 0.085876f;	val_dir[4421*3 + 2] = 0.996158f;
 	val_dir[4422*3 + 0] = 0.035489f;	val_dir[4422*3 + 1] = 0.106466f;	val_dir[4422*3 + 2] = 0.993683f;
 	val_dir[4423*3 + 0] = 0.055011f;	val_dir[4423*3 + 1] = 0.128359f;	val_dir[4423*3 + 2] = 0.990201f;
 	val_dir[4424*3 + 0] = 0.075810f;	val_dir[4424*3 + 1] = 0.151620f;	val_dir[4424*3 + 2] = 0.985527f;
 	val_dir[4425*3 + 0] = 0.097945f;	val_dir[4425*3 + 1] = 0.176301f;	val_dir[4425*3 + 2] = 0.979451f;
 	val_dir[4426*3 + 0] = 0.121466f;	val_dir[4426*3 + 1] = 0.202444f;	val_dir[4426*3 + 2] = 0.971732f;
 	val_dir[4427*3 + 0] = 0.146406f;	val_dir[4427*3 + 1] = 0.230067f;	val_dir[4427*3 + 2] = 0.962099f;
 	val_dir[4428*3 + 0] = 0.172774f;	val_dir[4428*3 + 1] = 0.259161f;	val_dir[4428*3 + 2] = 0.950255f;
 	val_dir[4429*3 + 0] = 0.200545f;	val_dir[4429*3 + 1] = 0.289677f;	val_dir[4429*3 + 2] = 0.935879f;
 	val_dir[4430*3 + 0] = 0.229658f;	val_dir[4430*3 + 1] = 0.321521f;	val_dir[4430*3 + 2] = 0.918630f;
 	val_dir[4431*3 + 0] = 0.259996f;	val_dir[4431*3 + 1] = 0.354540f;	val_dir[4431*3 + 2] = 0.898167f;
 	val_dir[4432*3 + 0] = 0.291386f;	val_dir[4432*3 + 1] = 0.388514f;	val_dir[4432*3 + 2] = 0.874157f;
 	val_dir[4433*3 + 0] = 0.323587f;	val_dir[4433*3 + 1] = 0.423153f;	val_dir[4433*3 + 2] = 0.846305f;
 	val_dir[4434*3 + 0] = 0.356291f;	val_dir[4434*3 + 1] = 0.458088f;	val_dir[4434*3 + 2] = 0.814379f;
 	val_dir[4435*3 + 0] = 0.389118f;	val_dir[4435*3 + 1] = 0.492883f;	val_dir[4435*3 + 2] = 0.778237f;
 	val_dir[4436*3 + 0] = 0.421637f;	val_dir[4436*3 + 1] = 0.527046f;	val_dir[4436*3 + 2] = 0.737865f;
 	val_dir[4437*3 + 0] = 0.453374f;	val_dir[4437*3 + 1] = 0.560050f;	val_dir[4437*3 + 2] = 0.693395f;
 	val_dir[4438*3 + 0] = 0.483843f;	val_dir[4438*3 + 1] = 0.591364f;	val_dir[4438*3 + 2] = 0.645124f;
 	val_dir[4439*3 + 0] = 0.512578f;	val_dir[4439*3 + 1] = 0.620490f;	val_dir[4439*3 + 2] = 0.593512f;
 	val_dir[4440*3 + 0] = 0.539164f;	val_dir[4440*3 + 1] = 0.646997f;	val_dir[4440*3 + 2] = 0.539164f;
 	val_dir[4441*3 + 0] = 0.563264f;	val_dir[4441*3 + 1] = 0.670552f;	val_dir[4441*3 + 2] = 0.482798f;
 	val_dir[4442*3 + 0] = 0.584643f;	val_dir[4442*3 + 1] = 0.690942f;	val_dir[4442*3 + 2] = 0.425195f;
 	val_dir[4443*3 + 0] = 0.603178f;	val_dir[4443*3 + 1] = 0.708079f;	val_dir[4443*3 + 2] = 0.367152f;
 	val_dir[4444*3 + 0] = 0.618853f;	val_dir[4444*3 + 1] = 0.721995f;	val_dir[4444*3 + 2] = 0.309426f;
 	val_dir[4445*3 + 0] = 0.631748f;	val_dir[4445*3 + 1] = 0.732828f;	val_dir[4445*3 + 2] = 0.252699f;
 	val_dir[4446*3 + 0] = 0.642024f;	val_dir[4446*3 + 1] = 0.740797f;	val_dir[4446*3 + 2] = 0.197546f;
 	val_dir[4447*3 + 0] = 0.649895f;	val_dir[4447*3 + 1] = 0.746176f;	val_dir[4447*3 + 2] = 0.144421f;
 	val_dir[4448*3 + 0] = 0.655610f;	val_dir[4448*3 + 1] = 0.749269f;	val_dir[4448*3 + 2] = 0.093659f;
 	val_dir[4449*3 + 0] = 0.659432f;	val_dir[4449*3 + 1] = 0.750388f;	val_dir[4449*3 + 2] = 0.045478f;
 	val_dir[4450*3 + 0] = 0.661622f;	val_dir[4450*3 + 1] = 0.749838f;	val_dir[4450*3 + 2] = 0.0f;
 	val_dir[4451*3 + 0] = -0.760644f;	val_dir[4451*3 + 1] = -0.648784f;	val_dir[4451*3 + 2] = 0.022372f;
 	val_dir[4452*3 + 0] = -0.760684f;	val_dir[4452*3 + 1] = -0.645429f;	val_dir[4452*3 + 2] = 0.069153f;
 	val_dir[4453*3 + 0] = -0.758899f;	val_dir[4453*3 + 1] = -0.640321f;	val_dir[4453*3 + 2] = 0.118578f;
 	val_dir[4454*3 + 0] = -0.754976f;	val_dir[4454*3 + 1] = -0.633205f;	val_dir[4454*3 + 2] = 0.170478f;
 	val_dir[4455*3 + 0] = -0.748598f;	val_dir[4455*3 + 1] = -0.623831f;	val_dir[4455*3 + 2] = 0.224579f;
 	val_dir[4456*3 + 0] = -0.739469f;	val_dir[4456*3 + 1] = -0.611974f;	val_dir[4456*3 + 2] = 0.280488f;
 	val_dir[4457*3 + 0] = -0.727334f;	val_dir[4457*3 + 1] = -0.597453f;	val_dir[4457*3 + 2] = 0.337691f;
 	val_dir[4458*3 + 0] = -0.712007f;	val_dir[4458*3 + 1] = -0.580154f;	val_dir[4458*3 + 2] = 0.395559f;
 	val_dir[4459*3 + 0] = -0.693395f;	val_dir[4459*3 + 1] = -0.560050f;	val_dir[4459*3 + 2] = 0.453374f;
 	val_dir[4460*3 + 0] = -0.671519f;	val_dir[4460*3 + 1] = -0.537215f;	val_dir[4460*3 + 2] = 0.510355f;
 	val_dir[4461*3 + 0] = -0.646527f;	val_dir[4461*3 + 1] = -0.511834f;	val_dir[4461*3 + 2] = 0.565711f;
 	val_dir[4462*3 + 0] = -0.618691f;	val_dir[4462*3 + 1] = -0.484193f;	val_dir[4462*3 + 2] = 0.618691f;
 	val_dir[4463*3 + 0] = -0.588395f;	val_dir[4463*3 + 1] = -0.454669f;	val_dir[4463*3 + 2] = 0.668631f;
 	val_dir[4464*3 + 0] = -0.556108f;	val_dir[4464*3 + 1] = -0.423702f;	val_dir[4464*3 + 2] = 0.714997f;
 	val_dir[4465*3 + 0] = -0.522352f;	val_dir[4465*3 + 1] = -0.391764f;	val_dir[4465*3 + 2] = 0.757410f;
 	val_dir[4466*3 + 0] = -0.487661f;	val_dir[4466*3 + 1] = -0.359329f;	val_dir[4466*3 + 2] = 0.795657f;
 	val_dir[4467*3 + 0] = -0.452553f;	val_dir[4467*3 + 1] = -0.326844f;	val_dir[4467*3 + 2] = 0.829680f;
 	val_dir[4468*3 + 0] = -0.41750f;	val_dir[4468*3 + 1] = -0.294706f;	val_dir[4468*3 + 2] = 0.859559f;
 	val_dir[4469*3 + 0] = -0.382911f;	val_dir[4469*3 + 1] = -0.263251f;	val_dir[4469*3 + 2] = 0.885482f;
 	val_dir[4470*3 + 0] = -0.349121f;	val_dir[4470*3 + 1] = -0.232747f;	val_dir[4470*3 + 2] = 0.907713f;
 	val_dir[4471*3 + 0] = -0.316389f;	val_dir[4471*3 + 1] = -0.203393f;	val_dir[4471*3 + 2] = 0.926568f;
 	val_dir[4472*3 + 0] = -0.284907f;	val_dir[4472*3 + 1] = -0.175327f;	val_dir[4472*3 + 2] = 0.942384f;
 	val_dir[4473*3 + 0] = -0.254801f;	val_dir[4473*3 + 1] = -0.148634f;	val_dir[4473*3 + 2] = 0.955502f;
 	val_dir[4474*3 + 0] = -0.226144f;	val_dir[4474*3 + 1] = -0.123351f;	val_dir[4474*3 + 2] = 0.966252f;
 	val_dir[4475*3 + 0] = -0.198968f;	val_dir[4475*3 + 1] = -0.099484f;	val_dir[4475*3 + 2] = 0.974943f;
 	val_dir[4476*3 + 0] = -0.173269f;	val_dir[4476*3 + 1] = -0.077009f;	val_dir[4476*3 + 2] = 0.981859f;
 	val_dir[4477*3 + 0] = -0.149019f;	val_dir[4477*3 + 1] = -0.055882f;	val_dir[4477*3 + 2] = 0.987254f;
 	val_dir[4478*3 + 0] = -0.126172f;	val_dir[4478*3 + 1] = -0.036049f;	val_dir[4478*3 + 2] = 0.991353f;
 	val_dir[4479*3 + 0] = -0.104669f;	val_dir[4479*3 + 1] = -0.017445f;	val_dir[4479*3 + 2] = 0.994354f;
 	val_dir[4480*3 + 0] = -0.084443f;	val_dir[4480*3 + 1] = 0.0f;	val_dir[4480*3 + 2] = 0.996428f;
 	val_dir[4481*3 + 0] = -0.067632f;	val_dir[4481*3 + 1] = 0.016908f;	val_dir[4481*3 + 2] = 0.997567f;
 	val_dir[4482*3 + 0] = -0.050753f;	val_dir[4482*3 + 1] = 0.033835f;	val_dir[4482*3 + 2] = 0.998138f;
 	val_dir[4483*3 + 0] = -0.033835f;	val_dir[4483*3 + 1] = 0.050753f;	val_dir[4483*3 + 2] = 0.998138f;
 	val_dir[4484*3 + 0] = -0.016908f;	val_dir[4484*3 + 1] = 0.067632f;	val_dir[4484*3 + 2] = 0.997567f;
 	val_dir[4485*3 + 0] = 0.0f;	val_dir[4485*3 + 1] = 0.084443f;	val_dir[4485*3 + 2] = 0.996428f;
 	val_dir[4486*3 + 0] = 0.017445f;	val_dir[4486*3 + 1] = 0.104669f;	val_dir[4486*3 + 2] = 0.994354f;
 	val_dir[4487*3 + 0] = 0.036049f;	val_dir[4487*3 + 1] = 0.126172f;	val_dir[4487*3 + 2] = 0.991353f;
 	val_dir[4488*3 + 0] = 0.055882f;	val_dir[4488*3 + 1] = 0.149019f;	val_dir[4488*3 + 2] = 0.987254f;
 	val_dir[4489*3 + 0] = 0.077009f;	val_dir[4489*3 + 1] = 0.173269f;	val_dir[4489*3 + 2] = 0.981859f;
 	val_dir[4490*3 + 0] = 0.099484f;	val_dir[4490*3 + 1] = 0.198968f;	val_dir[4490*3 + 2] = 0.974943f;
 	val_dir[4491*3 + 0] = 0.123351f;	val_dir[4491*3 + 1] = 0.226144f;	val_dir[4491*3 + 2] = 0.966252f;
 	val_dir[4492*3 + 0] = 0.148634f;	val_dir[4492*3 + 1] = 0.254801f;	val_dir[4492*3 + 2] = 0.955502f;
 	val_dir[4493*3 + 0] = 0.175327f;	val_dir[4493*3 + 1] = 0.284907f;	val_dir[4493*3 + 2] = 0.942384f;
 	val_dir[4494*3 + 0] = 0.203393f;	val_dir[4494*3 + 1] = 0.316389f;	val_dir[4494*3 + 2] = 0.926568f;
 	val_dir[4495*3 + 0] = 0.232747f;	val_dir[4495*3 + 1] = 0.349121f;	val_dir[4495*3 + 2] = 0.907713f;
 	val_dir[4496*3 + 0] = 0.263251f;	val_dir[4496*3 + 1] = 0.382911f;	val_dir[4496*3 + 2] = 0.885482f;
 	val_dir[4497*3 + 0] = 0.294706f;	val_dir[4497*3 + 1] = 0.41750f;	val_dir[4497*3 + 2] = 0.859559f;
 	val_dir[4498*3 + 0] = 0.326844f;	val_dir[4498*3 + 1] = 0.452553f;	val_dir[4498*3 + 2] = 0.829680f;
 	val_dir[4499*3 + 0] = 0.359329f;	val_dir[4499*3 + 1] = 0.487661f;	val_dir[4499*3 + 2] = 0.795657f;
 	val_dir[4500*3 + 0] = 0.391764f;	val_dir[4500*3 + 1] = 0.522352f;	val_dir[4500*3 + 2] = 0.757410f;
 	val_dir[4501*3 + 0] = 0.423702f;	val_dir[4501*3 + 1] = 0.556108f;	val_dir[4501*3 + 2] = 0.714997f;
 	val_dir[4502*3 + 0] = 0.454669f;	val_dir[4502*3 + 1] = 0.588395f;	val_dir[4502*3 + 2] = 0.668631f;
 	val_dir[4503*3 + 0] = 0.484193f;	val_dir[4503*3 + 1] = 0.618691f;	val_dir[4503*3 + 2] = 0.618691f;
 	val_dir[4504*3 + 0] = 0.511834f;	val_dir[4504*3 + 1] = 0.646527f;	val_dir[4504*3 + 2] = 0.565711f;
 	val_dir[4505*3 + 0] = 0.537215f;	val_dir[4505*3 + 1] = 0.671519f;	val_dir[4505*3 + 2] = 0.510355f;
 	val_dir[4506*3 + 0] = 0.560050f;	val_dir[4506*3 + 1] = 0.693395f;	val_dir[4506*3 + 2] = 0.453374f;
 	val_dir[4507*3 + 0] = 0.580154f;	val_dir[4507*3 + 1] = 0.712007f;	val_dir[4507*3 + 2] = 0.395559f;
 	val_dir[4508*3 + 0] = 0.597453f;	val_dir[4508*3 + 1] = 0.727334f;	val_dir[4508*3 + 2] = 0.337691f;
 	val_dir[4509*3 + 0] = 0.611974f;	val_dir[4509*3 + 1] = 0.739469f;	val_dir[4509*3 + 2] = 0.280488f;
 	val_dir[4510*3 + 0] = 0.623831f;	val_dir[4510*3 + 1] = 0.748598f;	val_dir[4510*3 + 2] = 0.224579f;
 	val_dir[4511*3 + 0] = 0.633205f;	val_dir[4511*3 + 1] = 0.754976f;	val_dir[4511*3 + 2] = 0.170478f;
 	val_dir[4512*3 + 0] = 0.640321f;	val_dir[4512*3 + 1] = 0.758899f;	val_dir[4512*3 + 2] = 0.118578f;
 	val_dir[4513*3 + 0] = 0.645429f;	val_dir[4513*3 + 1] = 0.760684f;	val_dir[4513*3 + 2] = 0.069153f;
 	val_dir[4514*3 + 0] = 0.648784f;	val_dir[4514*3 + 1] = 0.760644f;	val_dir[4514*3 + 2] = 0.022372f;
 	val_dir[4515*3 + 0] = -0.770022f;	val_dir[4515*3 + 1] = -0.638018f;	val_dir[4515*3 + 2] = 0.0f;
 	val_dir[4516*3 + 0] = -0.771136f;	val_dir[4516*3 + 1] = -0.635053f;	val_dir[4516*3 + 2] = 0.045361f;
 	val_dir[4517*3 + 0] = -0.770574f;	val_dir[4517*3 + 1] = -0.630470f;	val_dir[4517*3 + 2] = 0.093403f;
 	val_dir[4518*3 + 0] = -0.768025f;	val_dir[4518*3 + 1] = -0.624020f;	val_dir[4518*3 + 2] = 0.144005f;
 	val_dir[4519*3 + 0] = -0.763167f;	val_dir[4519*3 + 1] = -0.615457f;	val_dir[4519*3 + 2] = 0.196946f;
 	val_dir[4520*3 + 0] = -0.755689f;	val_dir[4520*3 + 1] = -0.604551f;	val_dir[4520*3 + 2] = 0.251896f;
 	val_dir[4521*3 + 0] = -0.745307f;	val_dir[4521*3 + 1] = -0.591105f;	val_dir[4521*3 + 2] = 0.308403f;
 	val_dir[4522*3 + 0] = -0.731792f;	val_dir[4522*3 + 1] = -0.574979f;	val_dir[4522*3 + 2] = 0.365896f;
 	val_dir[4523*3 + 0] = -0.714997f;	val_dir[4523*3 + 1] = -0.556108f;	val_dir[4523*3 + 2] = 0.423702f;
 	val_dir[4524*3 + 0] = -0.694879f;	val_dir[4524*3 + 1] = -0.534522f;	val_dir[4524*3 + 2] = 0.481070f;
 	val_dir[4525*3 + 0] = -0.671519f;	val_dir[4525*3 + 1] = -0.510355f;	val_dir[4525*3 + 2] = 0.537215f;
 	val_dir[4526*3 + 0] = -0.645124f;	val_dir[4526*3 + 1] = -0.483843f;	val_dir[4526*3 + 2] = 0.591364f;
 	val_dir[4527*3 + 0] = -0.616022f;	val_dir[4527*3 + 1] = -0.455321f;	val_dir[4527*3 + 2] = 0.642806f;
 	val_dir[4528*3 + 0] = -0.584643f;	val_dir[4528*3 + 1] = -0.425195f;	val_dir[4528*3 + 2] = 0.690942f;
 	val_dir[4529*3 + 0] = -0.551487f;	val_dir[4529*3 + 1] = -0.393919f;	val_dir[4529*3 + 2] = 0.735316f;
 	val_dir[4530*3 + 0] = -0.517088f;	val_dir[4530*3 + 1] = -0.361961f;	val_dir[4530*3 + 2] = 0.775632f;
 	val_dir[4531*3 + 0] = -0.481979f;	val_dir[4531*3 + 1] = -0.329775f;	val_dir[4531*3 + 2] = 0.811754f;
 	val_dir[4532*3 + 0] = -0.446662f;	val_dir[4532*3 + 1] = -0.297775f;	val_dir[4532*3 + 2] = 0.843696f;
 	val_dir[4533*3 + 0] = -0.411585f;	val_dir[4533*3 + 1] = -0.266320f;	val_dir[4533*3 + 2] = 0.871592f;
 	val_dir[4534*3 + 0] = -0.377124f;	val_dir[4534*3 + 1] = -0.235702f;	val_dir[4534*3 + 2] = 0.895669f;
 	val_dir[4535*3 + 0] = -0.343582f;	val_dir[4535*3 + 1] = -0.206149f;	val_dir[4535*3 + 2] = 0.916217f;
 	val_dir[4536*3 + 0] = -0.311188f;	val_dir[4536*3 + 1] = -0.177822f;	val_dir[4536*3 + 2] = 0.933564f;
 	val_dir[4537*3 + 0] = -0.280105f;	val_dir[4537*3 + 1] = -0.150826f;	val_dir[4537*3 + 2] = 0.948047f;
 	val_dir[4538*3 + 0] = -0.250435f;	val_dir[4538*3 + 1] = -0.125218f;	val_dir[4538*3 + 2] = 0.960001f;
 	val_dir[4539*3 + 0] = -0.222234f;	val_dir[4539*3 + 1] = -0.101015f;	val_dir[4539*3 + 2] = 0.969746f;
 	val_dir[4540*3 + 0] = -0.195515f;	val_dir[4540*3 + 1] = -0.078206f;	val_dir[4540*3 + 2] = 0.977577f;
 	val_dir[4541*3 + 0] = -0.170267f;	val_dir[4541*3 + 1] = -0.056756f;	val_dir[4541*3 + 2] = 0.983762f;
 	val_dir[4542*3 + 0] = -0.146450f;	val_dir[4542*3 + 1] = -0.036613f;	val_dir[4542*3 + 2] = 0.988540f;
 	val_dir[4543*3 + 0] = -0.124015f;	val_dir[4543*3 + 1] = -0.017716f;	val_dir[4543*3 + 2] = 0.992122f;
 	val_dir[4544*3 + 0] = -0.102899f;	val_dir[4544*3 + 1] = 0.0f;	val_dir[4544*3 + 2] = 0.994692f;
 	val_dir[4545*3 + 0] = -0.085876f;	val_dir[4545*3 + 1] = 0.017175f;	val_dir[4545*3 + 2] = 0.996158f;
 	val_dir[4546*3 + 0] = -0.068761f;	val_dir[4546*3 + 1] = 0.034381f;	val_dir[4546*3 + 2] = 0.997041f;
 	val_dir[4547*3 + 0] = -0.051586f;	val_dir[4547*3 + 1] = 0.051586f;	val_dir[4547*3 + 2] = 0.997335f;
 	val_dir[4548*3 + 0] = -0.034381f;	val_dir[4548*3 + 1] = 0.068761f;	val_dir[4548*3 + 2] = 0.997041f;
 	val_dir[4549*3 + 0] = -0.017175f;	val_dir[4549*3 + 1] = 0.085876f;	val_dir[4549*3 + 2] = 0.996158f;
 	val_dir[4550*3 + 0] = 0.0f;	val_dir[4550*3 + 1] = 0.102899f;	val_dir[4550*3 + 2] = 0.994692f;
 	val_dir[4551*3 + 0] = 0.017716f;	val_dir[4551*3 + 1] = 0.124015f;	val_dir[4551*3 + 2] = 0.992122f;
 	val_dir[4552*3 + 0] = 0.036613f;	val_dir[4552*3 + 1] = 0.146450f;	val_dir[4552*3 + 2] = 0.988540f;
 	val_dir[4553*3 + 0] = 0.056756f;	val_dir[4553*3 + 1] = 0.170267f;	val_dir[4553*3 + 2] = 0.983762f;
 	val_dir[4554*3 + 0] = 0.078206f;	val_dir[4554*3 + 1] = 0.195515f;	val_dir[4554*3 + 2] = 0.977577f;
 	val_dir[4555*3 + 0] = 0.101015f;	val_dir[4555*3 + 1] = 0.222234f;	val_dir[4555*3 + 2] = 0.969746f;
 	val_dir[4556*3 + 0] = 0.125218f;	val_dir[4556*3 + 1] = 0.250435f;	val_dir[4556*3 + 2] = 0.960001f;
 	val_dir[4557*3 + 0] = 0.150826f;	val_dir[4557*3 + 1] = 0.280105f;	val_dir[4557*3 + 2] = 0.948047f;
 	val_dir[4558*3 + 0] = 0.177822f;	val_dir[4558*3 + 1] = 0.311188f;	val_dir[4558*3 + 2] = 0.933564f;
 	val_dir[4559*3 + 0] = 0.206149f;	val_dir[4559*3 + 1] = 0.343582f;	val_dir[4559*3 + 2] = 0.916217f;
 	val_dir[4560*3 + 0] = 0.235702f;	val_dir[4560*3 + 1] = 0.377124f;	val_dir[4560*3 + 2] = 0.895669f;
 	val_dir[4561*3 + 0] = 0.266320f;	val_dir[4561*3 + 1] = 0.411585f;	val_dir[4561*3 + 2] = 0.871592f;
 	val_dir[4562*3 + 0] = 0.297775f;	val_dir[4562*3 + 1] = 0.446662f;	val_dir[4562*3 + 2] = 0.843696f;
 	val_dir[4563*3 + 0] = 0.329775f;	val_dir[4563*3 + 1] = 0.481979f;	val_dir[4563*3 + 2] = 0.811754f;
 	val_dir[4564*3 + 0] = 0.361961f;	val_dir[4564*3 + 1] = 0.517088f;	val_dir[4564*3 + 2] = 0.775632f;
 	val_dir[4565*3 + 0] = 0.393919f;	val_dir[4565*3 + 1] = 0.551487f;	val_dir[4565*3 + 2] = 0.735316f;
 	val_dir[4566*3 + 0] = 0.425195f;	val_dir[4566*3 + 1] = 0.584643f;	val_dir[4566*3 + 2] = 0.690942f;
 	val_dir[4567*3 + 0] = 0.455321f;	val_dir[4567*3 + 1] = 0.616022f;	val_dir[4567*3 + 2] = 0.642806f;
 	val_dir[4568*3 + 0] = 0.483843f;	val_dir[4568*3 + 1] = 0.645124f;	val_dir[4568*3 + 2] = 0.591364f;
 	val_dir[4569*3 + 0] = 0.510355f;	val_dir[4569*3 + 1] = 0.671519f;	val_dir[4569*3 + 2] = 0.537215f;
 	val_dir[4570*3 + 0] = 0.534522f;	val_dir[4570*3 + 1] = 0.694879f;	val_dir[4570*3 + 2] = 0.481070f;
 	val_dir[4571*3 + 0] = 0.556108f;	val_dir[4571*3 + 1] = 0.714997f;	val_dir[4571*3 + 2] = 0.423702f;
 	val_dir[4572*3 + 0] = 0.574979f;	val_dir[4572*3 + 1] = 0.731792f;	val_dir[4572*3 + 2] = 0.365896f;
 	val_dir[4573*3 + 0] = 0.591105f;	val_dir[4573*3 + 1] = 0.745307f;	val_dir[4573*3 + 2] = 0.308403f;
 	val_dir[4574*3 + 0] = 0.604551f;	val_dir[4574*3 + 1] = 0.755689f;	val_dir[4574*3 + 2] = 0.251896f;
 	val_dir[4575*3 + 0] = 0.615457f;	val_dir[4575*3 + 1] = 0.763167f;	val_dir[4575*3 + 2] = 0.196946f;
 	val_dir[4576*3 + 0] = 0.624020f;	val_dir[4576*3 + 1] = 0.768025f;	val_dir[4576*3 + 2] = 0.144005f;
 	val_dir[4577*3 + 0] = 0.630470f;	val_dir[4577*3 + 1] = 0.770574f;	val_dir[4577*3 + 2] = 0.093403f;
 	val_dir[4578*3 + 0] = 0.635053f;	val_dir[4578*3 + 1] = 0.771136f;	val_dir[4578*3 + 2] = 0.045361f;
 	val_dir[4579*3 + 0] = 0.638018f;	val_dir[4579*3 + 1] = 0.770022f;	val_dir[4579*3 + 2] = 0.0f;
 	val_dir[4580*3 + 0] = -0.780675f;	val_dir[4580*3 + 1] = -0.624540f;	val_dir[4580*3 + 2] = 0.022305f;
 	val_dir[4581*3 + 0] = -0.781248f;	val_dir[4581*3 + 1] = -0.620403f;	val_dir[4581*3 + 2] = 0.068934f;
 	val_dir[4582*3 + 0] = -0.779987f;	val_dir[4582*3 + 1] = -0.614535f;	val_dir[4582*3 + 2] = 0.118180f;
 	val_dir[4583*3 + 0] = -0.776571f;	val_dir[4583*3 + 1] = -0.606696f;	val_dir[4583*3 + 2] = 0.169875f;
 	val_dir[4584*3 + 0] = -0.770677f;	val_dir[4584*3 + 1] = -0.596653f;	val_dir[4584*3 + 2] = 0.223745f;
 	val_dir[4585*3 + 0] = -0.762001f;	val_dir[4585*3 + 1] = -0.584201f;	val_dir[4585*3 + 2] = 0.27940f;
 	val_dir[4586*3 + 0] = -0.750279f;	val_dir[4586*3 + 1] = -0.569177f;	val_dir[4586*3 + 2] = 0.336332f;
 	val_dir[4587*3 + 0] = -0.735316f;	val_dir[4587*3 + 1] = -0.551487f;	val_dir[4587*3 + 2] = 0.393919f;
 	val_dir[4588*3 + 0] = -0.717011f;	val_dir[4588*3 + 1] = -0.531119f;	val_dir[4588*3 + 2] = 0.451451f;
 	val_dir[4589*3 + 0] = -0.695376f;	val_dir[4589*3 + 1] = -0.508159f;	val_dir[4589*3 + 2] = 0.508159f;
 	val_dir[4590*3 + 0] = -0.670552f;	val_dir[4590*3 + 1] = -0.482798f;	val_dir[4590*3 + 2] = 0.563264f;
 	val_dir[4591*3 + 0] = -0.642806f;	val_dir[4591*3 + 1] = -0.455321f;	val_dir[4591*3 + 2] = 0.616022f;
 	val_dir[4592*3 + 0] = -0.612517f;	val_dir[4592*3 + 1] = -0.426099f;	val_dir[4592*3 + 2] = 0.665780f;
 	val_dir[4593*3 + 0] = -0.580154f;	val_dir[4593*3 + 1] = -0.395559f;	val_dir[4593*3 + 2] = 0.712007f;
 	val_dir[4594*3 + 0] = -0.546238f;	val_dir[4594*3 + 1] = -0.364159f;	val_dir[4594*3 + 2] = 0.754329f;
 	val_dir[4595*3 + 0] = -0.511310f;	val_dir[4595*3 + 1] = -0.332352f;	val_dir[4595*3 + 2] = 0.792530f;
 	val_dir[4596*3 + 0] = -0.475893f;	val_dir[4596*3 + 1] = -0.300564f;	val_dir[4596*3 + 2] = 0.826551f;
 	val_dir[4597*3 + 0] = -0.440468f;	val_dir[4597*3 + 1] = -0.269175f;	val_dir[4597*3 + 2] = 0.856465f;
 	val_dir[4598*3 + 0] = -0.405452f;	val_dir[4598*3 + 1] = -0.238501f;	val_dir[4598*3 + 2] = 0.882454f;
 	val_dir[4599*3 + 0] = -0.371191f;	val_dir[4599*3 + 1] = -0.208795f;	val_dir[4599*3 + 2] = 0.904777f;
 	val_dir[4600*3 + 0] = -0.337954f;	val_dir[4600*3 + 1] = -0.180242f;	val_dir[4600*3 + 2] = 0.923742f;
 	val_dir[4601*3 + 0] = -0.305942f;	val_dir[4601*3 + 1] = -0.152971f;	val_dir[4601*3 + 2] = 0.939680f;
 	val_dir[4602*3 + 0] = -0.275290f;	val_dir[4602*3 + 1] = -0.127057f;	val_dir[4602*3 + 2] = 0.952928f;
 	val_dir[4603*3 + 0] = -0.246079f;	val_dir[4603*3 + 1] = -0.102533f;	val_dir[4603*3 + 2] = 0.963811f;
 	val_dir[4604*3 + 0] = -0.218347f;	val_dir[4604*3 + 1] = -0.079399f;	val_dir[4604*3 + 2] = 0.972636f;
 	val_dir[4605*3 + 0] = -0.192095f;	val_dir[4605*3 + 1] = -0.057628f;	val_dir[4605*3 + 2] = 0.979683f;
 	val_dir[4606*3 + 0] = -0.167299f;	val_dir[4606*3 + 1] = -0.037178f;	val_dir[4606*3 + 2] = 0.985205f;
 	val_dir[4607*3 + 0] = -0.143917f;	val_dir[4607*3 + 1] = -0.017990f;	val_dir[4607*3 + 2] = 0.989426f;
 	val_dir[4608*3 + 0] = -0.121891f;	val_dir[4608*3 + 1] = 0.0f;	val_dir[4608*3 + 2] = 0.992543f;
 	val_dir[4609*3 + 0] = -0.104669f;	val_dir[4609*3 + 1] = 0.017445f;	val_dir[4609*3 + 2] = 0.994354f;
 	val_dir[4610*3 + 0] = -0.087330f;	val_dir[4610*3 + 1] = 0.034932f;	val_dir[4610*3 + 2] = 0.995567f;
 	val_dir[4611*3 + 0] = -0.069907f;	val_dir[4611*3 + 1] = 0.052430f;	val_dir[4611*3 + 2] = 0.996175f;
 	val_dir[4612*3 + 0] = -0.052430f;	val_dir[4612*3 + 1] = 0.069907f;	val_dir[4612*3 + 2] = 0.996175f;
 	val_dir[4613*3 + 0] = -0.034932f;	val_dir[4613*3 + 1] = 0.087330f;	val_dir[4613*3 + 2] = 0.995567f;
 	val_dir[4614*3 + 0] = -0.017445f;	val_dir[4614*3 + 1] = 0.104669f;	val_dir[4614*3 + 2] = 0.994354f;
 	val_dir[4615*3 + 0] = 0.0f;	val_dir[4615*3 + 1] = 0.121891f;	val_dir[4615*3 + 2] = 0.992543f;
 	val_dir[4616*3 + 0] = 0.017990f;	val_dir[4616*3 + 1] = 0.143917f;	val_dir[4616*3 + 2] = 0.989426f;
 	val_dir[4617*3 + 0] = 0.037178f;	val_dir[4617*3 + 1] = 0.167299f;	val_dir[4617*3 + 2] = 0.985205f;
 	val_dir[4618*3 + 0] = 0.057628f;	val_dir[4618*3 + 1] = 0.192095f;	val_dir[4618*3 + 2] = 0.979683f;
 	val_dir[4619*3 + 0] = 0.079399f;	val_dir[4619*3 + 1] = 0.218347f;	val_dir[4619*3 + 2] = 0.972636f;
 	val_dir[4620*3 + 0] = 0.102533f;	val_dir[4620*3 + 1] = 0.246079f;	val_dir[4620*3 + 2] = 0.963811f;
 	val_dir[4621*3 + 0] = 0.127057f;	val_dir[4621*3 + 1] = 0.275290f;	val_dir[4621*3 + 2] = 0.952928f;
 	val_dir[4622*3 + 0] = 0.152971f;	val_dir[4622*3 + 1] = 0.305942f;	val_dir[4622*3 + 2] = 0.939680f;
 	val_dir[4623*3 + 0] = 0.180242f;	val_dir[4623*3 + 1] = 0.337954f;	val_dir[4623*3 + 2] = 0.923742f;
 	val_dir[4624*3 + 0] = 0.208795f;	val_dir[4624*3 + 1] = 0.371191f;	val_dir[4624*3 + 2] = 0.904777f;
 	val_dir[4625*3 + 0] = 0.238501f;	val_dir[4625*3 + 1] = 0.405452f;	val_dir[4625*3 + 2] = 0.882454f;
 	val_dir[4626*3 + 0] = 0.269175f;	val_dir[4626*3 + 1] = 0.440468f;	val_dir[4626*3 + 2] = 0.856465f;
 	val_dir[4627*3 + 0] = 0.300564f;	val_dir[4627*3 + 1] = 0.475893f;	val_dir[4627*3 + 2] = 0.826551f;
 	val_dir[4628*3 + 0] = 0.332352f;	val_dir[4628*3 + 1] = 0.511310f;	val_dir[4628*3 + 2] = 0.792530f;
 	val_dir[4629*3 + 0] = 0.364159f;	val_dir[4629*3 + 1] = 0.546238f;	val_dir[4629*3 + 2] = 0.754329f;
 	val_dir[4630*3 + 0] = 0.395559f;	val_dir[4630*3 + 1] = 0.580154f;	val_dir[4630*3 + 2] = 0.712007f;
 	val_dir[4631*3 + 0] = 0.426099f;	val_dir[4631*3 + 1] = 0.612517f;	val_dir[4631*3 + 2] = 0.665780f;
 	val_dir[4632*3 + 0] = 0.455321f;	val_dir[4632*3 + 1] = 0.642806f;	val_dir[4632*3 + 2] = 0.616022f;
 	val_dir[4633*3 + 0] = 0.482798f;	val_dir[4633*3 + 1] = 0.670552f;	val_dir[4633*3 + 2] = 0.563264f;
 	val_dir[4634*3 + 0] = 0.508159f;	val_dir[4634*3 + 1] = 0.695376f;	val_dir[4634*3 + 2] = 0.508159f;
 	val_dir[4635*3 + 0] = 0.531119f;	val_dir[4635*3 + 1] = 0.717011f;	val_dir[4635*3 + 2] = 0.451451f;
 	val_dir[4636*3 + 0] = 0.551487f;	val_dir[4636*3 + 1] = 0.735316f;	val_dir[4636*3 + 2] = 0.393919f;
 	val_dir[4637*3 + 0] = 0.569177f;	val_dir[4637*3 + 1] = 0.750279f;	val_dir[4637*3 + 2] = 0.336332f;
 	val_dir[4638*3 + 0] = 0.584201f;	val_dir[4638*3 + 1] = 0.762001f;	val_dir[4638*3 + 2] = 0.27940f;
 	val_dir[4639*3 + 0] = 0.596653f;	val_dir[4639*3 + 1] = 0.770677f;	val_dir[4639*3 + 2] = 0.223745f;
 	val_dir[4640*3 + 0] = 0.606696f;	val_dir[4640*3 + 1] = 0.776571f;	val_dir[4640*3 + 2] = 0.169875f;
 	val_dir[4641*3 + 0] = 0.614535f;	val_dir[4641*3 + 1] = 0.779987f;	val_dir[4641*3 + 2] = 0.118180f;
 	val_dir[4642*3 + 0] = 0.620403f;	val_dir[4642*3 + 1] = 0.781248f;	val_dir[4642*3 + 2] = 0.068934f;
 	val_dir[4643*3 + 0] = 0.624540f;	val_dir[4643*3 + 1] = 0.780675f;	val_dir[4643*3 + 2] = 0.022305f;
 	val_dir[4644*3 + 0] = -0.789352f;	val_dir[4644*3 + 1] = -0.613941f;	val_dir[4644*3 + 2] = 0.0f;
 	val_dir[4645*3 + 0] = -0.790973f;	val_dir[4645*3 + 1] = -0.610179f;	val_dir[4645*3 + 2] = 0.045198f;
 	val_dir[4646*3 + 0] = -0.790912f;	val_dir[4646*3 + 1] = -0.604815f;	val_dir[4646*3 + 2] = 0.093048f;
 	val_dir[4647*3 + 0] = -0.788851f;	val_dir[4647*3 + 1] = -0.597614f;	val_dir[4647*3 + 2] = 0.143427f;
 	val_dir[4648*3 + 0] = -0.784465f;	val_dir[4648*3 + 1] = -0.588348f;	val_dir[4648*3 + 2] = 0.196116f;
 	val_dir[4649*3 + 0] = -0.777433f;	val_dir[4649*3 + 1] = -0.576805f;	val_dir[4649*3 + 2] = 0.250785f;
 	val_dir[4650*3 + 0] = -0.767467f;	val_dir[4650*3 + 1] = -0.562809f;	val_dir[4650*3 + 2] = 0.306987f;
 	val_dir[4651*3 + 0] = -0.754329f;	val_dir[4651*3 + 1] = -0.546238f;	val_dir[4651*3 + 2] = 0.364159f;
 	val_dir[4652*3 + 0] = -0.737865f;	val_dir[4652*3 + 1] = -0.527046f;	val_dir[4652*3 + 2] = 0.421637f;
 	val_dir[4653*3 + 0] = -0.718024f;	val_dir[4653*3 + 1] = -0.505276f;	val_dir[4653*3 + 2] = 0.478683f;
 	val_dir[4654*3 + 0] = -0.694879f;	val_dir[4654*3 + 1] = -0.481070f;	val_dir[4654*3 + 2] = 0.534522f;
 	val_dir[4655*3 + 0] = -0.668631f;	val_dir[4655*3 + 1] = -0.454669f;	val_dir[4655*3 + 2] = 0.588395f;
 	val_dir[4656*3 + 0] = -0.639602f;	val_dir[4656*3 + 1] = -0.426401f;	val_dir[4656*3 + 2] = 0.639602f;
 	val_dir[4657*3 + 0] = -0.608219f;	val_dir[4657*3 + 1] = -0.396664f;	val_dir[4657*3 + 2] = 0.687552f;
 	val_dir[4658*3 + 0] = -0.574979f;	val_dir[4658*3 + 1] = -0.365896f;	val_dir[4658*3 + 2] = 0.731792f;
 	val_dir[4659*3 + 0] = -0.540419f;	val_dir[4659*3 + 1] = -0.334545f;	val_dir[4659*3 + 2] = 0.772027f;
 	val_dir[4660*3 + 0] = -0.505076f;	val_dir[4660*3 + 1] = -0.303046f;	val_dir[4660*3 + 2] = 0.808122f;
 	val_dir[4661*3 + 0] = -0.469458f;	val_dir[4661*3 + 1] = -0.271791f;	val_dir[4661*3 + 2] = 0.840083f;
 	val_dir[4662*3 + 0] = -0.434019f;	val_dir[4662*3 + 1] = -0.241121f;	val_dir[4662*3 + 2] = 0.868037f;
 	val_dir[4663*3 + 0] = -0.399145f;	val_dir[4663*3 + 1] = -0.211312f;	val_dir[4663*3 + 2] = 0.892206f;
 	val_dir[4664*3 + 0] = -0.365148f;	val_dir[4664*3 + 1] = -0.182574f;	val_dir[4664*3 + 2] = 0.912871f;
 	val_dir[4665*3 + 0] = -0.332269f;	val_dir[4665*3 + 1] = -0.155059f;	val_dir[4665*3 + 2] = 0.930352f;
 	val_dir[4666*3 + 0] = -0.300676f;	val_dir[4666*3 + 1] = -0.128861f;	val_dir[4666*3 + 2] = 0.944981f;
 	val_dir[4667*3 + 0] = -0.270481f;	val_dir[4667*3 + 1] = -0.104031f;	val_dir[4667*3 + 2] = 0.957088f;
 	val_dir[4668*3 + 0] = -0.241747f;	val_dir[4668*3 + 1] = -0.080582f;	val_dir[4668*3 + 2] = 0.966988f;
 	val_dir[4669*3 + 0] = -0.214494f;	val_dir[4669*3 + 1] = -0.058498f;	val_dir[4669*3 + 2] = 0.974972f;
 	val_dir[4670*3 + 0] = -0.188713f;	val_dir[4670*3 + 1] = -0.037743f;	val_dir[4670*3 + 2] = 0.981307f;
 	val_dir[4671*3 + 0] = -0.164372f;	val_dir[4671*3 + 1] = -0.018264f;	val_dir[4671*3 + 2] = 0.986229f;
 	val_dir[4672*3 + 0] = -0.141421f;	val_dir[4672*3 + 1] = 0.0f;	val_dir[4672*3 + 2] = 0.989949f;
 	val_dir[4673*3 + 0] = -0.124015f;	val_dir[4673*3 + 1] = 0.017716f;	val_dir[4673*3 + 2] = 0.992122f;
 	val_dir[4674*3 + 0] = -0.106466f;	val_dir[4674*3 + 1] = 0.035489f;	val_dir[4674*3 + 2] = 0.993683f;
 	val_dir[4675*3 + 0] = -0.088806f;	val_dir[4675*3 + 1] = 0.053283f;	val_dir[4675*3 + 2] = 0.994623f;
 	val_dir[4676*3 + 0] = -0.071067f;	val_dir[4676*3 + 1] = 0.071067f;	val_dir[4676*3 + 2] = 0.994937f;
 	val_dir[4677*3 + 0] = -0.053283f;	val_dir[4677*3 + 1] = 0.088806f;	val_dir[4677*3 + 2] = 0.994623f;
 	val_dir[4678*3 + 0] = -0.035489f;	val_dir[4678*3 + 1] = 0.106466f;	val_dir[4678*3 + 2] = 0.993683f;
 	val_dir[4679*3 + 0] = -0.017716f;	val_dir[4679*3 + 1] = 0.124015f;	val_dir[4679*3 + 2] = 0.992122f;
 	val_dir[4680*3 + 0] = 0.0f;	val_dir[4680*3 + 1] = 0.141421f;	val_dir[4680*3 + 2] = 0.989949f;
 	val_dir[4681*3 + 0] = 0.018264f;	val_dir[4681*3 + 1] = 0.164372f;	val_dir[4681*3 + 2] = 0.986229f;
 	val_dir[4682*3 + 0] = 0.037743f;	val_dir[4682*3 + 1] = 0.188713f;	val_dir[4682*3 + 2] = 0.981307f;
 	val_dir[4683*3 + 0] = 0.058498f;	val_dir[4683*3 + 1] = 0.214494f;	val_dir[4683*3 + 2] = 0.974972f;
 	val_dir[4684*3 + 0] = 0.080582f;	val_dir[4684*3 + 1] = 0.241747f;	val_dir[4684*3 + 2] = 0.966988f;
 	val_dir[4685*3 + 0] = 0.104031f;	val_dir[4685*3 + 1] = 0.270481f;	val_dir[4685*3 + 2] = 0.957088f;
 	val_dir[4686*3 + 0] = 0.128861f;	val_dir[4686*3 + 1] = 0.300676f;	val_dir[4686*3 + 2] = 0.944981f;
 	val_dir[4687*3 + 0] = 0.155059f;	val_dir[4687*3 + 1] = 0.332269f;	val_dir[4687*3 + 2] = 0.930352f;
 	val_dir[4688*3 + 0] = 0.182574f;	val_dir[4688*3 + 1] = 0.365148f;	val_dir[4688*3 + 2] = 0.912871f;
 	val_dir[4689*3 + 0] = 0.211312f;	val_dir[4689*3 + 1] = 0.399145f;	val_dir[4689*3 + 2] = 0.892206f;
 	val_dir[4690*3 + 0] = 0.241121f;	val_dir[4690*3 + 1] = 0.434019f;	val_dir[4690*3 + 2] = 0.868037f;
 	val_dir[4691*3 + 0] = 0.271791f;	val_dir[4691*3 + 1] = 0.469458f;	val_dir[4691*3 + 2] = 0.840083f;
 	val_dir[4692*3 + 0] = 0.303046f;	val_dir[4692*3 + 1] = 0.505076f;	val_dir[4692*3 + 2] = 0.808122f;
 	val_dir[4693*3 + 0] = 0.334545f;	val_dir[4693*3 + 1] = 0.540419f;	val_dir[4693*3 + 2] = 0.772027f;
 	val_dir[4694*3 + 0] = 0.365896f;	val_dir[4694*3 + 1] = 0.574979f;	val_dir[4694*3 + 2] = 0.731792f;
 	val_dir[4695*3 + 0] = 0.396664f;	val_dir[4695*3 + 1] = 0.608219f;	val_dir[4695*3 + 2] = 0.687552f;
 	val_dir[4696*3 + 0] = 0.426401f;	val_dir[4696*3 + 1] = 0.639602f;	val_dir[4696*3 + 2] = 0.639602f;
 	val_dir[4697*3 + 0] = 0.454669f;	val_dir[4697*3 + 1] = 0.668631f;	val_dir[4697*3 + 2] = 0.588395f;
 	val_dir[4698*3 + 0] = 0.481070f;	val_dir[4698*3 + 1] = 0.694879f;	val_dir[4698*3 + 2] = 0.534522f;
 	val_dir[4699*3 + 0] = 0.505276f;	val_dir[4699*3 + 1] = 0.718024f;	val_dir[4699*3 + 2] = 0.478683f;
 	val_dir[4700*3 + 0] = 0.527046f;	val_dir[4700*3 + 1] = 0.737865f;	val_dir[4700*3 + 2] = 0.421637f;
 	val_dir[4701*3 + 0] = 0.546238f;	val_dir[4701*3 + 1] = 0.754329f;	val_dir[4701*3 + 2] = 0.364159f;
 	val_dir[4702*3 + 0] = 0.562809f;	val_dir[4702*3 + 1] = 0.767467f;	val_dir[4702*3 + 2] = 0.306987f;
 	val_dir[4703*3 + 0] = 0.576805f;	val_dir[4703*3 + 1] = 0.777433f;	val_dir[4703*3 + 2] = 0.250785f;
 	val_dir[4704*3 + 0] = 0.588348f;	val_dir[4704*3 + 1] = 0.784465f;	val_dir[4704*3 + 2] = 0.196116f;
 	val_dir[4705*3 + 0] = 0.597614f;	val_dir[4705*3 + 1] = 0.788851f;	val_dir[4705*3 + 2] = 0.143427f;
 	val_dir[4706*3 + 0] = 0.604815f;	val_dir[4706*3 + 1] = 0.790912f;	val_dir[4706*3 + 2] = 0.093048f;
 	val_dir[4707*3 + 0] = 0.610179f;	val_dir[4707*3 + 1] = 0.790973f;	val_dir[4707*3 + 2] = 0.045198f;
 	val_dir[4708*3 + 0] = 0.613941f;	val_dir[4708*3 + 1] = 0.789352f;	val_dir[4708*3 + 2] = 0.0f;
 	val_dir[4709*3 + 0] = -0.799803f;	val_dir[4709*3 + 1] = -0.599852f;	val_dir[4709*3 + 2] = 0.022217f;
 	val_dir[4710*3 + 0] = -0.800850f;	val_dir[4710*3 + 1] = -0.594917f;	val_dir[4710*3 + 2] = 0.068644f;
 	val_dir[4711*3 + 0] = -0.800055f;	val_dir[4711*3 + 1] = -0.588276f;	val_dir[4711*3 + 2] = 0.117655f;
 	val_dir[4712*3 + 0] = -0.797092f;	val_dir[4712*3 + 1] = -0.579703f;	val_dir[4712*3 + 2] = 0.169080f;
 	val_dir[4713*3 + 0] = -0.791633f;	val_dir[4713*3 + 1] = -0.568986f;	val_dir[4713*3 + 2] = 0.222647f;
 	val_dir[4714*3 + 0] = -0.783368f;	val_dir[4714*3 + 1] = -0.555939f;	val_dir[4714*3 + 2] = 0.277969f;
 	val_dir[4715*3 + 0] = -0.772027f;	val_dir[4715*3 + 1] = -0.540419f;	val_dir[4715*3 + 2] = 0.334545f;
 	val_dir[4716*3 + 0] = -0.757410f;	val_dir[4716*3 + 1] = -0.522352f;	val_dir[4716*3 + 2] = 0.391764f;
 	val_dir[4717*3 + 0] = -0.739407f;	val_dir[4717*3 + 1] = -0.501740f;	val_dir[4717*3 + 2] = 0.448926f;
 	val_dir[4718*3 + 0] = -0.718024f;	val_dir[4718*3 + 1] = -0.478683f;	val_dir[4718*3 + 2] = 0.505276f;
 	val_dir[4719*3 + 0] = -0.693395f;	val_dir[4719*3 + 1] = -0.453374f;	val_dir[4719*3 + 2] = 0.560050f;
 	val_dir[4720*3 + 0] = -0.665780f;	val_dir[4720*3 + 1] = -0.426099f;	val_dir[4720*3 + 2] = 0.612517f;
 	val_dir[4721*3 + 0] = -0.635553f;	val_dir[4721*3 + 1] = -0.397220f;	val_dir[4721*3 + 2] = 0.662034f;
 	val_dir[4722*3 + 0] = -0.603178f;	val_dir[4722*3 + 1] = -0.367152f;	val_dir[4722*3 + 2] = 0.708079f;
 	val_dir[4723*3 + 0] = -0.569177f;	val_dir[4723*3 + 1] = -0.336332f;	val_dir[4723*3 + 2] = 0.750279f;
 	val_dir[4724*3 + 0] = -0.534090f;	val_dir[4724*3 + 1] = -0.305194f;	val_dir[4724*3 + 2] = 0.788419f;
 	val_dir[4725*3 + 0] = -0.498445f;	val_dir[4725*3 + 1] = -0.274145f;	val_dir[4725*3 + 2] = 0.822434f;
 	val_dir[4726*3 + 0] = -0.462727f;	val_dir[4726*3 + 1] = -0.243541f;	val_dir[4726*3 + 2] = 0.852392f;
 	val_dir[4727*3 + 0] = -0.427362f;	val_dir[4727*3 + 1] = -0.213681f;	val_dir[4727*3 + 2] = 0.878466f;
 	val_dir[4728*3 + 0] = -0.392703f;	val_dir[4728*3 + 1] = -0.184801f;	val_dir[4728*3 + 2] = 0.900907f;
 	val_dir[4729*3 + 0] = -0.359030f;	val_dir[4729*3 + 1] = -0.157075f;	val_dir[4729*3 + 2] = 0.920014f;
 	val_dir[4730*3 + 0] = -0.326550f;	val_dir[4730*3 + 1] = -0.130620f;	val_dir[4730*3 + 2] = 0.936111f;
 	val_dir[4731*3 + 0] = -0.295409f;	val_dir[4731*3 + 1] = -0.105503f;	val_dir[4731*3 + 2] = 0.949528f;
 	val_dir[4732*3 + 0] = -0.265694f;	val_dir[4732*3 + 1] = -0.081752f;	val_dir[4732*3 + 2] = 0.960585f;
 	val_dir[4733*3 + 0] = -0.237449f;	val_dir[4733*3 + 1] = -0.059362f;	val_dir[4733*3 + 2] = 0.969584f;
 	val_dir[4734*3 + 0] = -0.210683f;	val_dir[4734*3 + 1] = -0.038306f;	val_dir[4734*3 + 2] = 0.976804f;
 	val_dir[4735*3 + 0] = -0.185376f;	val_dir[4735*3 + 1] = -0.018538f;	val_dir[4735*3 + 2] = 0.982493f;
 	val_dir[4736*3 + 0] = -0.161489f;	val_dir[4736*3 + 1] = 0.0f;	val_dir[4736*3 + 2] = 0.986875f;
 	val_dir[4737*3 + 0] = -0.143917f;	val_dir[4737*3 + 1] = 0.017990f;	val_dir[4737*3 + 2] = 0.989426f;
 	val_dir[4738*3 + 0] = -0.126172f;	val_dir[4738*3 + 1] = 0.036049f;	val_dir[4738*3 + 2] = 0.991353f;
 	val_dir[4739*3 + 0] = -0.108288f;	val_dir[4739*3 + 1] = 0.054144f;	val_dir[4739*3 + 2] = 0.992644f;
 	val_dir[4740*3 + 0] = -0.090299f;	val_dir[4740*3 + 1] = 0.072239f;	val_dir[4740*3 + 2] = 0.993291f;
 	val_dir[4741*3 + 0] = -0.072239f;	val_dir[4741*3 + 1] = 0.090299f;	val_dir[4741*3 + 2] = 0.993291f;
 	val_dir[4742*3 + 0] = -0.054144f;	val_dir[4742*3 + 1] = 0.108288f;	val_dir[4742*3 + 2] = 0.992644f;
 	val_dir[4743*3 + 0] = -0.036049f;	val_dir[4743*3 + 1] = 0.126172f;	val_dir[4743*3 + 2] = 0.991353f;
 	val_dir[4744*3 + 0] = -0.017990f;	val_dir[4744*3 + 1] = 0.143917f;	val_dir[4744*3 + 2] = 0.989426f;
 	val_dir[4745*3 + 0] = 0.0f;	val_dir[4745*3 + 1] = 0.161489f;	val_dir[4745*3 + 2] = 0.986875f;
 	val_dir[4746*3 + 0] = 0.018538f;	val_dir[4746*3 + 1] = 0.185376f;	val_dir[4746*3 + 2] = 0.982493f;
 	val_dir[4747*3 + 0] = 0.038306f;	val_dir[4747*3 + 1] = 0.210683f;	val_dir[4747*3 + 2] = 0.976804f;
 	val_dir[4748*3 + 0] = 0.059362f;	val_dir[4748*3 + 1] = 0.237449f;	val_dir[4748*3 + 2] = 0.969584f;
 	val_dir[4749*3 + 0] = 0.081752f;	val_dir[4749*3 + 1] = 0.265694f;	val_dir[4749*3 + 2] = 0.960585f;
 	val_dir[4750*3 + 0] = 0.105503f;	val_dir[4750*3 + 1] = 0.295409f;	val_dir[4750*3 + 2] = 0.949528f;
 	val_dir[4751*3 + 0] = 0.130620f;	val_dir[4751*3 + 1] = 0.326550f;	val_dir[4751*3 + 2] = 0.936111f;
 	val_dir[4752*3 + 0] = 0.157075f;	val_dir[4752*3 + 1] = 0.359030f;	val_dir[4752*3 + 2] = 0.920014f;
 	val_dir[4753*3 + 0] = 0.184801f;	val_dir[4753*3 + 1] = 0.392703f;	val_dir[4753*3 + 2] = 0.900907f;
 	val_dir[4754*3 + 0] = 0.213681f;	val_dir[4754*3 + 1] = 0.427362f;	val_dir[4754*3 + 2] = 0.878466f;
 	val_dir[4755*3 + 0] = 0.243541f;	val_dir[4755*3 + 1] = 0.462727f;	val_dir[4755*3 + 2] = 0.852392f;
 	val_dir[4756*3 + 0] = 0.274145f;	val_dir[4756*3 + 1] = 0.498445f;	val_dir[4756*3 + 2] = 0.822434f;
 	val_dir[4757*3 + 0] = 0.305194f;	val_dir[4757*3 + 1] = 0.534090f;	val_dir[4757*3 + 2] = 0.788419f;
 	val_dir[4758*3 + 0] = 0.336332f;	val_dir[4758*3 + 1] = 0.569177f;	val_dir[4758*3 + 2] = 0.750279f;
 	val_dir[4759*3 + 0] = 0.367152f;	val_dir[4759*3 + 1] = 0.603178f;	val_dir[4759*3 + 2] = 0.708079f;
 	val_dir[4760*3 + 0] = 0.397220f;	val_dir[4760*3 + 1] = 0.635553f;	val_dir[4760*3 + 2] = 0.662034f;
 	val_dir[4761*3 + 0] = 0.426099f;	val_dir[4761*3 + 1] = 0.665780f;	val_dir[4761*3 + 2] = 0.612517f;
 	val_dir[4762*3 + 0] = 0.453374f;	val_dir[4762*3 + 1] = 0.693395f;	val_dir[4762*3 + 2] = 0.560050f;
 	val_dir[4763*3 + 0] = 0.478683f;	val_dir[4763*3 + 1] = 0.718024f;	val_dir[4763*3 + 2] = 0.505276f;
 	val_dir[4764*3 + 0] = 0.501740f;	val_dir[4764*3 + 1] = 0.739407f;	val_dir[4764*3 + 2] = 0.448926f;
 	val_dir[4765*3 + 0] = 0.522352f;	val_dir[4765*3 + 1] = 0.757410f;	val_dir[4765*3 + 2] = 0.391764f;
 	val_dir[4766*3 + 0] = 0.540419f;	val_dir[4766*3 + 1] = 0.772027f;	val_dir[4766*3 + 2] = 0.334545f;
 	val_dir[4767*3 + 0] = 0.555939f;	val_dir[4767*3 + 1] = 0.783368f;	val_dir[4767*3 + 2] = 0.277969f;
 	val_dir[4768*3 + 0] = 0.568986f;	val_dir[4768*3 + 1] = 0.791633f;	val_dir[4768*3 + 2] = 0.222647f;
 	val_dir[4769*3 + 0] = 0.579703f;	val_dir[4769*3 + 1] = 0.797092f;	val_dir[4769*3 + 2] = 0.169080f;
 	val_dir[4770*3 + 0] = 0.588276f;	val_dir[4770*3 + 1] = 0.800055f;	val_dir[4770*3 + 2] = 0.117655f;
 	val_dir[4771*3 + 0] = 0.594917f;	val_dir[4771*3 + 1] = 0.800850f;	val_dir[4771*3 + 2] = 0.068644f;
 	val_dir[4772*3 + 0] = 0.599852f;	val_dir[4772*3 + 1] = 0.799803f;	val_dir[4772*3 + 2] = 0.022217f;
 	val_dir[4773*3 + 0] = -0.807791f;	val_dir[4773*3 + 1] = -0.589469f;	val_dir[4773*3 + 2] = 0.0f;
 	val_dir[4774*3 + 0] = -0.809858f;	val_dir[4774*3 + 1] = -0.584898f;	val_dir[4774*3 + 2] = 0.044992f;
 	val_dir[4775*3 + 0] = -0.810237f;	val_dir[4775*3 + 1] = -0.578741f;	val_dir[4775*3 + 2] = 0.092599f;
 	val_dir[4776*3 + 0] = -0.808608f;	val_dir[4776*3 + 1] = -0.570782f;	val_dir[4776*3 + 2] = 0.142695f;
 	val_dir[4777*3 + 0] = -0.804639f;	val_dir[4777*3 + 1] = -0.560809f;	val_dir[4777*3 + 2] = 0.195064f;
 	val_dir[4778*3 + 0] = -0.798007f;	val_dir[4778*3 + 1] = -0.548630f;	val_dir[4778*3 + 2] = 0.249377f;
 	val_dir[4779*3 + 0] = -0.788419f;	val_dir[4779*3 + 1] = -0.534090f;	val_dir[4779*3 + 2] = 0.305194f;
 	val_dir[4780*3 + 0] = -0.775632f;	val_dir[4780*3 + 1] = -0.517088f;	val_dir[4780*3 + 2] = 0.361961f;
 	val_dir[4781*3 + 0] = -0.759485f;	val_dir[4781*3 + 1] = -0.497594f;	val_dir[4781*3 + 2] = 0.419026f;
 	val_dir[4782*3 + 0] = -0.739923f;	val_dir[4782*3 + 1] = -0.475665f;	val_dir[4782*3 + 2] = 0.475665f;
 	val_dir[4783*3 + 0] = -0.717011f;	val_dir[4783*3 + 1] = -0.451451f;	val_dir[4783*3 + 2] = 0.531119f;
 	val_dir[4784*3 + 0] = -0.690942f;	val_dir[4784*3 + 1] = -0.425195f;	val_dir[4784*3 + 2] = 0.584643f;
 	val_dir[4785*3 + 0] = -0.662034f;	val_dir[4785*3 + 1] = -0.397220f;	val_dir[4785*3 + 2] = 0.635553f;
 	val_dir[4786*3 + 0] = -0.630706f;	val_dir[4786*3 + 1] = -0.367912f;	val_dir[4786*3 + 2] = 0.683265f;
 	val_dir[4787*3 + 0] = -0.597453f;	val_dir[4787*3 + 1] = -0.337691f;	val_dir[4787*3 + 2] = 0.727334f;
 	val_dir[4788*3 + 0] = -0.562809f;	val_dir[4788*3 + 1] = -0.306987f;	val_dir[4788*3 + 2] = 0.767467f;
 	val_dir[4789*3 + 0] = -0.527312f;	val_dir[4789*3 + 1] = -0.276211f;	val_dir[4789*3 + 2] = 0.803523f;
 	val_dir[4790*3 + 0] = -0.491473f;	val_dir[4790*3 + 1] = -0.245737f;	val_dir[4790*3 + 2] = 0.835504f;
 	val_dir[4791*3 + 0] = -0.455752f;	val_dir[4791*3 + 1] = -0.215883f;	val_dir[4791*3 + 2] = 0.863530f;
 	val_dir[4792*3 + 0] = -0.420542f;	val_dir[4792*3 + 1] = -0.186908f;	val_dir[4792*3 + 2] = 0.887812f;
 	val_dir[4793*3 + 0] = -0.386164f;	val_dir[4793*3 + 1] = -0.159009f;	val_dir[4793*3 + 2] = 0.908622f;
 	val_dir[4794*3 + 0] = -0.352865f;	val_dir[4794*3 + 1] = -0.132324f;	val_dir[4794*3 + 2] = 0.926270f;
 	val_dir[4795*3 + 0] = -0.320824f;	val_dir[4795*3 + 1] = -0.106941f;	val_dir[4795*3 + 2] = 0.941082f;
 	val_dir[4796*3 + 0] = -0.290159f;	val_dir[4796*3 + 1] = -0.082903f;	val_dir[4796*3 + 2] = 0.953381f;
 	val_dir[4797*3 + 0] = -0.260941f;	val_dir[4797*3 + 1] = -0.060217f;	val_dir[4797*3 + 2] = 0.963475f;
 	val_dir[4798*3 + 0] = -0.233197f;	val_dir[4798*3 + 1] = -0.038866f;	val_dir[4798*3 + 2] = 0.971653f;
 	val_dir[4799*3 + 0] = -0.206922f;	val_dir[4799*3 + 1] = -0.018811f;	val_dir[4799*3 + 2] = 0.978177f;
 	val_dir[4800*3 + 0] = -0.182089f;	val_dir[4800*3 + 1] = 0.0f;	val_dir[4800*3 + 2] = 0.983282f;
 	val_dir[4801*3 + 0] = -0.164372f;	val_dir[4801*3 + 1] = 0.018264f;	val_dir[4801*3 + 2] = 0.986229f;
 	val_dir[4802*3 + 0] = -0.146450f;	val_dir[4802*3 + 1] = 0.036613f;	val_dir[4802*3 + 2] = 0.988540f;
 	val_dir[4803*3 + 0] = -0.128359f;	val_dir[4803*3 + 1] = 0.055011f;	val_dir[4803*3 + 2] = 0.990201f;
 	val_dir[4804*3 + 0] = -0.110133f;	val_dir[4804*3 + 1] = 0.073422f;	val_dir[4804*3 + 2] = 0.991201f;
 	val_dir[4805*3 + 0] = -0.091809f;	val_dir[4805*3 + 1] = 0.091809f;	val_dir[4805*3 + 2] = 0.991535f;
 	val_dir[4806*3 + 0] = -0.073422f;	val_dir[4806*3 + 1] = 0.110133f;	val_dir[4806*3 + 2] = 0.991201f;
 	val_dir[4807*3 + 0] = -0.055011f;	val_dir[4807*3 + 1] = 0.128359f;	val_dir[4807*3 + 2] = 0.990201f;
 	val_dir[4808*3 + 0] = -0.036613f;	val_dir[4808*3 + 1] = 0.146450f;	val_dir[4808*3 + 2] = 0.988540f;
 	val_dir[4809*3 + 0] = -0.018264f;	val_dir[4809*3 + 1] = 0.164372f;	val_dir[4809*3 + 2] = 0.986229f;
 	val_dir[4810*3 + 0] = 0.0f;	val_dir[4810*3 + 1] = 0.182089f;	val_dir[4810*3 + 2] = 0.983282f;
 	val_dir[4811*3 + 0] = 0.018811f;	val_dir[4811*3 + 1] = 0.206922f;	val_dir[4811*3 + 2] = 0.978177f;
 	val_dir[4812*3 + 0] = 0.038866f;	val_dir[4812*3 + 1] = 0.233197f;	val_dir[4812*3 + 2] = 0.971653f;
 	val_dir[4813*3 + 0] = 0.060217f;	val_dir[4813*3 + 1] = 0.260941f;	val_dir[4813*3 + 2] = 0.963475f;
 	val_dir[4814*3 + 0] = 0.082903f;	val_dir[4814*3 + 1] = 0.290159f;	val_dir[4814*3 + 2] = 0.953381f;
 	val_dir[4815*3 + 0] = 0.106941f;	val_dir[4815*3 + 1] = 0.320824f;	val_dir[4815*3 + 2] = 0.941082f;
 	val_dir[4816*3 + 0] = 0.132324f;	val_dir[4816*3 + 1] = 0.352865f;	val_dir[4816*3 + 2] = 0.926270f;
 	val_dir[4817*3 + 0] = 0.159009f;	val_dir[4817*3 + 1] = 0.386164f;	val_dir[4817*3 + 2] = 0.908622f;
 	val_dir[4818*3 + 0] = 0.186908f;	val_dir[4818*3 + 1] = 0.420542f;	val_dir[4818*3 + 2] = 0.887812f;
 	val_dir[4819*3 + 0] = 0.215883f;	val_dir[4819*3 + 1] = 0.455752f;	val_dir[4819*3 + 2] = 0.863530f;
 	val_dir[4820*3 + 0] = 0.245737f;	val_dir[4820*3 + 1] = 0.491473f;	val_dir[4820*3 + 2] = 0.835504f;
 	val_dir[4821*3 + 0] = 0.276211f;	val_dir[4821*3 + 1] = 0.527312f;	val_dir[4821*3 + 2] = 0.803523f;
 	val_dir[4822*3 + 0] = 0.306987f;	val_dir[4822*3 + 1] = 0.562809f;	val_dir[4822*3 + 2] = 0.767467f;
 	val_dir[4823*3 + 0] = 0.337691f;	val_dir[4823*3 + 1] = 0.597453f;	val_dir[4823*3 + 2] = 0.727334f;
 	val_dir[4824*3 + 0] = 0.367912f;	val_dir[4824*3 + 1] = 0.630706f;	val_dir[4824*3 + 2] = 0.683265f;
 	val_dir[4825*3 + 0] = 0.397220f;	val_dir[4825*3 + 1] = 0.662034f;	val_dir[4825*3 + 2] = 0.635553f;
 	val_dir[4826*3 + 0] = 0.425195f;	val_dir[4826*3 + 1] = 0.690942f;	val_dir[4826*3 + 2] = 0.584643f;
 	val_dir[4827*3 + 0] = 0.451451f;	val_dir[4827*3 + 1] = 0.717011f;	val_dir[4827*3 + 2] = 0.531119f;
 	val_dir[4828*3 + 0] = 0.475665f;	val_dir[4828*3 + 1] = 0.739923f;	val_dir[4828*3 + 2] = 0.475665f;
 	val_dir[4829*3 + 0] = 0.497594f;	val_dir[4829*3 + 1] = 0.759485f;	val_dir[4829*3 + 2] = 0.419026f;
 	val_dir[4830*3 + 0] = 0.517088f;	val_dir[4830*3 + 1] = 0.775632f;	val_dir[4830*3 + 2] = 0.361961f;
 	val_dir[4831*3 + 0] = 0.534090f;	val_dir[4831*3 + 1] = 0.788419f;	val_dir[4831*3 + 2] = 0.305194f;
 	val_dir[4832*3 + 0] = 0.548630f;	val_dir[4832*3 + 1] = 0.798007f;	val_dir[4832*3 + 2] = 0.249377f;
 	val_dir[4833*3 + 0] = 0.560809f;	val_dir[4833*3 + 1] = 0.804639f;	val_dir[4833*3 + 2] = 0.195064f;
 	val_dir[4834*3 + 0] = 0.570782f;	val_dir[4834*3 + 1] = 0.808608f;	val_dir[4834*3 + 2] = 0.142695f;
 	val_dir[4835*3 + 0] = 0.578741f;	val_dir[4835*3 + 1] = 0.810237f;	val_dir[4835*3 + 2] = 0.092599f;
 	val_dir[4836*3 + 0] = 0.584898f;	val_dir[4836*3 + 1] = 0.809858f;	val_dir[4836*3 + 2] = 0.044992f;
 	val_dir[4837*3 + 0] = 0.589469f;	val_dir[4837*3 + 1] = 0.807791f;	val_dir[4837*3 + 2] = 0.0f;
 	val_dir[4838*3 + 0] = -0.817992f;	val_dir[4838*3 + 1] = -0.574805f;	val_dir[4838*3 + 2] = 0.022108f;
 	val_dir[4839*3 + 0] = -0.819453f;	val_dir[4839*3 + 1] = -0.569064f;	val_dir[4839*3 + 2] = 0.068288f;
 	val_dir[4840*3 + 0] = -0.819064f;	val_dir[4840*3 + 1] = -0.561644f;	val_dir[4840*3 + 2] = 0.117009f;
 	val_dir[4841*3 + 0] = -0.816497f;	val_dir[4841*3 + 1] = -0.552336f;	val_dir[4841*3 + 2] = 0.168102f;
 	val_dir[4842*3 + 0] = -0.811421f;	val_dir[4842*3 + 1] = -0.540947f;	val_dir[4842*3 + 2] = 0.221297f;
 	val_dir[4843*3 + 0] = -0.803523f;	val_dir[4843*3 + 1] = -0.527312f;	val_dir[4843*3 + 2] = 0.276211f;
 	val_dir[4844*3 + 0] = -0.792530f;	val_dir[4844*3 + 1] = -0.511310f;	val_dir[4844*3 + 2] = 0.332352f;
 	val_dir[4845*3 + 0] = -0.778237f;	val_dir[4845*3 + 1] = -0.492883f;	val_dir[4845*3 + 2] = 0.389118f;
 	val_dir[4846*3 + 0] = -0.760529f;	val_dir[4846*3 + 1] = -0.472053f;	val_dir[4846*3 + 2] = 0.445827f;
 	val_dir[4847*3 + 0] = -0.739407f;	val_dir[4847*3 + 1] = -0.448926f;	val_dir[4847*3 + 2] = 0.501740f;
 	val_dir[4848*3 + 0] = -0.714997f;	val_dir[4848*3 + 1] = -0.423702f;	val_dir[4848*3 + 2] = 0.556108f;
 	val_dir[4849*3 + 0] = -0.687552f;	val_dir[4849*3 + 1] = -0.396664f;	val_dir[4849*3 + 2] = 0.608219f;
 	val_dir[4850*3 + 0] = -0.657440f;	val_dir[4850*3 + 1] = -0.368166f;	val_dir[4850*3 + 2] = 0.657440f;
 	val_dir[4851*3 + 0] = -0.625119f;	val_dir[4851*3 + 1] = -0.338606f;	val_dir[4851*3 + 2] = 0.703259f;
 	val_dir[4852*3 + 0] = -0.591105f;	val_dir[4852*3 + 1] = -0.308403f;	val_dir[4852*3 + 2] = 0.745307f;
 	val_dir[4853*3 + 0] = -0.555939f;	val_dir[4853*3 + 1] = -0.277969f;	val_dir[4853*3 + 2] = 0.783368f;
 	val_dir[4854*3 + 0] = -0.520146f;	val_dir[4854*3 + 1] = -0.247689f;	val_dir[4854*3 + 2] = 0.817373f;
 	val_dir[4855*3 + 0] = -0.484217f;	val_dir[4855*3 + 1] = -0.217898f;	val_dir[4855*3 + 2] = 0.847381f;
 	val_dir[4856*3 + 0] = -0.448583f;	val_dir[4856*3 + 1] = -0.188877f;	val_dir[4856*3 + 2] = 0.873555f;
 	val_dir[4857*3 + 0] = -0.413602f;	val_dir[4857*3 + 1] = -0.160845f;	val_dir[4857*3 + 2] = 0.896137f;
 	val_dir[4858*3 + 0] = -0.379563f;	val_dir[4858*3 + 1] = -0.133963f;	val_dir[4858*3 + 2] = 0.915416f;
 	val_dir[4859*3 + 0] = -0.346681f;	val_dir[4859*3 + 1] = -0.108338f;	val_dir[4859*3 + 2] = 0.931705f;
 	val_dir[4860*3 + 0] = -0.315109f;	val_dir[4860*3 + 1] = -0.084029f;	val_dir[4860*3 + 2] = 0.945328f;
 	val_dir[4861*3 + 0] = -0.284944f;	val_dir[4861*3 + 1] = -0.061059f;	val_dir[4861*3 + 2] = 0.956597f;
 	val_dir[4862*3 + 0] = -0.256235f;	val_dir[4862*3 + 1] = -0.039421f;	val_dir[4862*3 + 2] = 0.965810f;
 	val_dir[4863*3 + 0] = -0.228998f;	val_dir[4863*3 + 1] = -0.019083f;	val_dir[4863*3 + 2] = 0.973240f;
 	val_dir[4864*3 + 0] = -0.203216f;	val_dir[4864*3 + 1] = 0.0f;	val_dir[4864*3 + 2] = 0.979134f;
 	val_dir[4865*3 + 0] = -0.185376f;	val_dir[4865*3 + 1] = 0.018538f;	val_dir[4865*3 + 2] = 0.982493f;
 	val_dir[4866*3 + 0] = -0.167299f;	val_dir[4866*3 + 1] = 0.037178f;	val_dir[4866*3 + 2] = 0.985205f;
 	val_dir[4867*3 + 0] = -0.149019f;	val_dir[4867*3 + 1] = 0.055882f;	val_dir[4867*3 + 2] = 0.987254f;
 	val_dir[4868*3 + 0] = -0.130573f;	val_dir[4868*3 + 1] = 0.074613f;	val_dir[4868*3 + 2] = 0.988627f;
 	val_dir[4869*3 + 0] = -0.111998f;	val_dir[4869*3 + 1] = 0.093332f;	val_dir[4869*3 + 2] = 0.989316f;
 	val_dir[4870*3 + 0] = -0.093332f;	val_dir[4870*3 + 1] = 0.111998f;	val_dir[4870*3 + 2] = 0.989316f;
 	val_dir[4871*3 + 0] = -0.074613f;	val_dir[4871*3 + 1] = 0.130573f;	val_dir[4871*3 + 2] = 0.988627f;
 	val_dir[4872*3 + 0] = -0.055882f;	val_dir[4872*3 + 1] = 0.149019f;	val_dir[4872*3 + 2] = 0.987254f;
 	val_dir[4873*3 + 0] = -0.037178f;	val_dir[4873*3 + 1] = 0.167299f;	val_dir[4873*3 + 2] = 0.985205f;
 	val_dir[4874*3 + 0] = -0.018538f;	val_dir[4874*3 + 1] = 0.185376f;	val_dir[4874*3 + 2] = 0.982493f;
 	val_dir[4875*3 + 0] = 0.0f;	val_dir[4875*3 + 1] = 0.203216f;	val_dir[4875*3 + 2] = 0.979134f;
 	val_dir[4876*3 + 0] = 0.019083f;	val_dir[4876*3 + 1] = 0.228998f;	val_dir[4876*3 + 2] = 0.973240f;
 	val_dir[4877*3 + 0] = 0.039421f;	val_dir[4877*3 + 1] = 0.256235f;	val_dir[4877*3 + 2] = 0.965810f;
 	val_dir[4878*3 + 0] = 0.061059f;	val_dir[4878*3 + 1] = 0.284944f;	val_dir[4878*3 + 2] = 0.956597f;
 	val_dir[4879*3 + 0] = 0.084029f;	val_dir[4879*3 + 1] = 0.315109f;	val_dir[4879*3 + 2] = 0.945328f;
 	val_dir[4880*3 + 0] = 0.108338f;	val_dir[4880*3 + 1] = 0.346681f;	val_dir[4880*3 + 2] = 0.931705f;
 	val_dir[4881*3 + 0] = 0.133963f;	val_dir[4881*3 + 1] = 0.379563f;	val_dir[4881*3 + 2] = 0.915416f;
 	val_dir[4882*3 + 0] = 0.160845f;	val_dir[4882*3 + 1] = 0.413602f;	val_dir[4882*3 + 2] = 0.896137f;
 	val_dir[4883*3 + 0] = 0.188877f;	val_dir[4883*3 + 1] = 0.448583f;	val_dir[4883*3 + 2] = 0.873555f;
 	val_dir[4884*3 + 0] = 0.217898f;	val_dir[4884*3 + 1] = 0.484217f;	val_dir[4884*3 + 2] = 0.847381f;
 	val_dir[4885*3 + 0] = 0.247689f;	val_dir[4885*3 + 1] = 0.520146f;	val_dir[4885*3 + 2] = 0.817373f;
 	val_dir[4886*3 + 0] = 0.277969f;	val_dir[4886*3 + 1] = 0.555939f;	val_dir[4886*3 + 2] = 0.783368f;
 	val_dir[4887*3 + 0] = 0.308403f;	val_dir[4887*3 + 1] = 0.591105f;	val_dir[4887*3 + 2] = 0.745307f;
 	val_dir[4888*3 + 0] = 0.338606f;	val_dir[4888*3 + 1] = 0.625119f;	val_dir[4888*3 + 2] = 0.703259f;
 	val_dir[4889*3 + 0] = 0.368166f;	val_dir[4889*3 + 1] = 0.657440f;	val_dir[4889*3 + 2] = 0.657440f;
 	val_dir[4890*3 + 0] = 0.396664f;	val_dir[4890*3 + 1] = 0.687552f;	val_dir[4890*3 + 2] = 0.608219f;
 	val_dir[4891*3 + 0] = 0.423702f;	val_dir[4891*3 + 1] = 0.714997f;	val_dir[4891*3 + 2] = 0.556108f;
 	val_dir[4892*3 + 0] = 0.448926f;	val_dir[4892*3 + 1] = 0.739407f;	val_dir[4892*3 + 2] = 0.501740f;
 	val_dir[4893*3 + 0] = 0.472053f;	val_dir[4893*3 + 1] = 0.760529f;	val_dir[4893*3 + 2] = 0.445827f;
 	val_dir[4894*3 + 0] = 0.492883f;	val_dir[4894*3 + 1] = 0.778237f;	val_dir[4894*3 + 2] = 0.389118f;
 	val_dir[4895*3 + 0] = 0.511310f;	val_dir[4895*3 + 1] = 0.792530f;	val_dir[4895*3 + 2] = 0.332352f;
 	val_dir[4896*3 + 0] = 0.527312f;	val_dir[4896*3 + 1] = 0.803523f;	val_dir[4896*3 + 2] = 0.276211f;
 	val_dir[4897*3 + 0] = 0.540947f;	val_dir[4897*3 + 1] = 0.811421f;	val_dir[4897*3 + 2] = 0.221297f;
 	val_dir[4898*3 + 0] = 0.552336f;	val_dir[4898*3 + 1] = 0.816497f;	val_dir[4898*3 + 2] = 0.168102f;
 	val_dir[4899*3 + 0] = 0.561644f;	val_dir[4899*3 + 1] = 0.819064f;	val_dir[4899*3 + 2] = 0.117009f;
 	val_dir[4900*3 + 0] = 0.569064f;	val_dir[4900*3 + 1] = 0.819453f;	val_dir[4900*3 + 2] = 0.068288f;
 	val_dir[4901*3 + 0] = 0.574805f;	val_dir[4901*3 + 1] = 0.817992f;	val_dir[4901*3 + 2] = 0.022108f;
 	val_dir[4902*3 + 0] = -0.825307f;	val_dir[4902*3 + 1] = -0.564684f;	val_dir[4902*3 + 2] = 0.0f;
 	val_dir[4903*3 + 0] = -0.827759f;	val_dir[4903*3 + 1] = -0.559297f;	val_dir[4903*3 + 2] = 0.044744f;
 	val_dir[4904*3 + 0] = -0.828517f;	val_dir[4904*3 + 1] = -0.552345f;	val_dir[4904*3 + 2] = 0.092057f;
 	val_dir[4905*3 + 0] = -0.827259f;	val_dir[4905*3 + 1] = -0.543627f;	val_dir[4905*3 + 2] = 0.141816f;
 	val_dir[4906*3 + 0] = -0.823653f;	val_dir[4906*3 + 1] = -0.532952f;	val_dir[4906*3 + 2] = 0.193801f;
 	val_dir[4907*3 + 0] = -0.817373f;	val_dir[4907*3 + 1] = -0.520146f;	val_dir[4907*3 + 2] = 0.247689f;
 	val_dir[4908*3 + 0] = -0.808122f;	val_dir[4908*3 + 1] = -0.505076f;	val_dir[4908*3 + 2] = 0.303046f;
 	val_dir[4909*3 + 0] = -0.795657f;	val_dir[4909*3 + 1] = -0.487661f;	val_dir[4909*3 + 2] = 0.359329f;
 	val_dir[4910*3 + 0] = -0.779813f;	val_dir[4910*3 + 1] = -0.467888f;	val_dir[4910*3 + 2] = 0.41590f;
 	val_dir[4911*3 + 0] = -0.760529f;	val_dir[4911*3 + 1] = -0.445827f;	val_dir[4911*3 + 2] = 0.472053f;
 	val_dir[4912*3 + 0] = -0.737865f;	val_dir[4912*3 + 1] = -0.421637f;	val_dir[4912*3 + 2] = 0.527046f;
 	val_dir[4913*3 + 0] = -0.712007f;	val_dir[4913*3 + 1] = -0.395559f;	val_dir[4913*3 + 2] = 0.580154f;
 	val_dir[4914*3 + 0] = -0.683265f;	val_dir[4914*3 + 1] = -0.367912f;	val_dir[4914*3 + 2] = 0.630706f;
 	val_dir[4915*3 + 0] = -0.652051f;	val_dir[4915*3 + 1] = -0.339066f;	val_dir[4915*3 + 2] = 0.678133f;
 	val_dir[4916*3 + 0] = -0.618853f;	val_dir[4916*3 + 1] = -0.309426f;	val_dir[4916*3 + 2] = 0.721995f;
 	val_dir[4917*3 + 0] = -0.584201f;	val_dir[4917*3 + 1] = -0.27940f;	val_dir[4917*3 + 2] = 0.762001f;
 	val_dir[4918*3 + 0] = -0.548630f;	val_dir[4918*3 + 1] = -0.249377f;	val_dir[4918*3 + 2] = 0.798007f;
 	val_dir[4919*3 + 0] = -0.512653f;	val_dir[4919*3 + 1] = -0.219708f;	val_dir[4919*3 + 2] = 0.830009f;
 	val_dir[4920*3 + 0] = -0.476731f;	val_dir[4920*3 + 1] = -0.190693f;	val_dir[4920*3 + 2] = 0.858116f;
 	val_dir[4921*3 + 0] = -0.441264f;	val_dir[4921*3 + 1] = -0.162571f;	val_dir[4921*3 + 2] = 0.882528f;
 	val_dir[4922*3 + 0] = -0.406579f;	val_dir[4922*3 + 1] = -0.135526f;	val_dir[4922*3 + 2] = 0.903508f;
 	val_dir[4923*3 + 0] = -0.372929f;	val_dir[4923*3 + 1] = -0.109685f;	val_dir[4923*3 + 2] = 0.921354f;
 	val_dir[4924*3 + 0] = -0.340503f;	val_dir[4924*3 + 1] = -0.085126f;	val_dir[4924*3 + 2] = 0.936382f;
 	val_dir[4925*3 + 0] = -0.309426f;	val_dir[4925*3 + 1] = -0.061885f;	val_dir[4925*3 + 2] = 0.948908f;
 	val_dir[4926*3 + 0] = -0.279776f;	val_dir[4926*3 + 1] = -0.039968f;	val_dir[4926*3 + 2] = 0.959233f;
 	val_dir[4927*3 + 0] = -0.251587f;	val_dir[4927*3 + 1] = -0.019353f;	val_dir[4927*3 + 2] = 0.967641f;
 	val_dir[4928*3 + 0] = -0.224860f;	val_dir[4928*3 + 1] = 0.0f;	val_dir[4928*3 + 2] = 0.974391f;
 	val_dir[4929*3 + 0] = -0.206922f;	val_dir[4929*3 + 1] = 0.018811f;	val_dir[4929*3 + 2] = 0.978177f;
 	val_dir[4930*3 + 0] = -0.188713f;	val_dir[4930*3 + 1] = 0.037743f;	val_dir[4930*3 + 2] = 0.981307f;
 	val_dir[4931*3 + 0] = -0.170267f;	val_dir[4931*3 + 1] = 0.056756f;	val_dir[4931*3 + 2] = 0.983762f;
 	val_dir[4932*3 + 0] = -0.151620f;	val_dir[4932*3 + 1] = 0.075810f;	val_dir[4932*3 + 2] = 0.985527f;
 	val_dir[4933*3 + 0] = -0.132810f;	val_dir[4933*3 + 1] = 0.094865f;	val_dir[4933*3 + 2] = 0.986591f;
 	val_dir[4934*3 + 0] = -0.113878f;	val_dir[4934*3 + 1] = 0.113878f;	val_dir[4934*3 + 2] = 0.986947f;
 	val_dir[4935*3 + 0] = -0.094865f;	val_dir[4935*3 + 1] = 0.132810f;	val_dir[4935*3 + 2] = 0.986591f;
 	val_dir[4936*3 + 0] = -0.075810f;	val_dir[4936*3 + 1] = 0.151620f;	val_dir[4936*3 + 2] = 0.985527f;
 	val_dir[4937*3 + 0] = -0.056756f;	val_dir[4937*3 + 1] = 0.170267f;	val_dir[4937*3 + 2] = 0.983762f;
 	val_dir[4938*3 + 0] = -0.037743f;	val_dir[4938*3 + 1] = 0.188713f;	val_dir[4938*3 + 2] = 0.981307f;
 	val_dir[4939*3 + 0] = -0.018811f;	val_dir[4939*3 + 1] = 0.206922f;	val_dir[4939*3 + 2] = 0.978177f;
 	val_dir[4940*3 + 0] = 0.0f;	val_dir[4940*3 + 1] = 0.224860f;	val_dir[4940*3 + 2] = 0.974391f;
 	val_dir[4941*3 + 0] = 0.019353f;	val_dir[4941*3 + 1] = 0.251587f;	val_dir[4941*3 + 2] = 0.967641f;
 	val_dir[4942*3 + 0] = 0.039968f;	val_dir[4942*3 + 1] = 0.279776f;	val_dir[4942*3 + 2] = 0.959233f;
 	val_dir[4943*3 + 0] = 0.061885f;	val_dir[4943*3 + 1] = 0.309426f;	val_dir[4943*3 + 2] = 0.948908f;
 	val_dir[4944*3 + 0] = 0.085126f;	val_dir[4944*3 + 1] = 0.340503f;	val_dir[4944*3 + 2] = 0.936382f;
 	val_dir[4945*3 + 0] = 0.109685f;	val_dir[4945*3 + 1] = 0.372929f;	val_dir[4945*3 + 2] = 0.921354f;
 	val_dir[4946*3 + 0] = 0.135526f;	val_dir[4946*3 + 1] = 0.406579f;	val_dir[4946*3 + 2] = 0.903508f;
 	val_dir[4947*3 + 0] = 0.162571f;	val_dir[4947*3 + 1] = 0.441264f;	val_dir[4947*3 + 2] = 0.882528f;
 	val_dir[4948*3 + 0] = 0.190693f;	val_dir[4948*3 + 1] = 0.476731f;	val_dir[4948*3 + 2] = 0.858116f;
 	val_dir[4949*3 + 0] = 0.219708f;	val_dir[4949*3 + 1] = 0.512653f;	val_dir[4949*3 + 2] = 0.830009f;
 	val_dir[4950*3 + 0] = 0.249377f;	val_dir[4950*3 + 1] = 0.548630f;	val_dir[4950*3 + 2] = 0.798007f;
 	val_dir[4951*3 + 0] = 0.27940f;	val_dir[4951*3 + 1] = 0.584201f;	val_dir[4951*3 + 2] = 0.762001f;
 	val_dir[4952*3 + 0] = 0.309426f;	val_dir[4952*3 + 1] = 0.618853f;	val_dir[4952*3 + 2] = 0.721995f;
 	val_dir[4953*3 + 0] = 0.339066f;	val_dir[4953*3 + 1] = 0.652051f;	val_dir[4953*3 + 2] = 0.678133f;
 	val_dir[4954*3 + 0] = 0.367912f;	val_dir[4954*3 + 1] = 0.683265f;	val_dir[4954*3 + 2] = 0.630706f;
 	val_dir[4955*3 + 0] = 0.395559f;	val_dir[4955*3 + 1] = 0.712007f;	val_dir[4955*3 + 2] = 0.580154f;
 	val_dir[4956*3 + 0] = 0.421637f;	val_dir[4956*3 + 1] = 0.737865f;	val_dir[4956*3 + 2] = 0.527046f;
 	val_dir[4957*3 + 0] = 0.445827f;	val_dir[4957*3 + 1] = 0.760529f;	val_dir[4957*3 + 2] = 0.472053f;
 	val_dir[4958*3 + 0] = 0.467888f;	val_dir[4958*3 + 1] = 0.779813f;	val_dir[4958*3 + 2] = 0.41590f;
 	val_dir[4959*3 + 0] = 0.487661f;	val_dir[4959*3 + 1] = 0.795657f;	val_dir[4959*3 + 2] = 0.359329f;
 	val_dir[4960*3 + 0] = 0.505076f;	val_dir[4960*3 + 1] = 0.808122f;	val_dir[4960*3 + 2] = 0.303046f;
 	val_dir[4961*3 + 0] = 0.520146f;	val_dir[4961*3 + 1] = 0.817373f;	val_dir[4961*3 + 2] = 0.247689f;
 	val_dir[4962*3 + 0] = 0.532952f;	val_dir[4962*3 + 1] = 0.823653f;	val_dir[4962*3 + 2] = 0.193801f;
 	val_dir[4963*3 + 0] = 0.543627f;	val_dir[4963*3 + 1] = 0.827259f;	val_dir[4963*3 + 2] = 0.141816f;
 	val_dir[4964*3 + 0] = 0.552345f;	val_dir[4964*3 + 1] = 0.828517f;	val_dir[4964*3 + 2] = 0.092057f;
 	val_dir[4965*3 + 0] = 0.559297f;	val_dir[4965*3 + 1] = 0.827759f;	val_dir[4965*3 + 2] = 0.044744f;
 	val_dir[4966*3 + 0] = 0.564684f;	val_dir[4966*3 + 1] = 0.825307f;	val_dir[4966*3 + 2] = 0.0f;
 	val_dir[4967*3 + 0] = -0.835215f;	val_dir[4967*3 + 1] = -0.549484f;	val_dir[4967*3 + 2] = 0.021979f;
 	val_dir[4968*3 + 0] = -0.837027f;	val_dir[4968*3 + 1] = -0.542936f;	val_dir[4968*3 + 2] = 0.067867f;
 	val_dir[4969*3 + 0] = -0.836983f;	val_dir[4969*3 + 1] = -0.534739f;	val_dir[4969*3 + 2] = 0.116248f;
 	val_dir[4970*3 + 0] = -0.834754f;	val_dir[4970*3 + 1] = -0.524703f;	val_dir[4970*3 + 2] = 0.166951f;
 	val_dir[4971*3 + 0] = -0.830009f;	val_dir[4971*3 + 1] = -0.512653f;	val_dir[4971*3 + 2] = 0.219708f;
 	val_dir[4972*3 + 0] = -0.822434f;	val_dir[4972*3 + 1] = -0.498445f;	val_dir[4972*3 + 2] = 0.274145f;
 	val_dir[4973*3 + 0] = -0.811754f;	val_dir[4973*3 + 1] = -0.481979f;	val_dir[4973*3 + 2] = 0.329775f;
 	val_dir[4974*3 + 0] = -0.797762f;	val_dir[4974*3 + 1] = -0.463217f;	val_dir[4974*3 + 2] = 0.386014f;
 	val_dir[4975*3 + 0] = -0.780340f;	val_dir[4975*3 + 1] = -0.442193f;	val_dir[4975*3 + 2] = 0.442193f;
 	val_dir[4976*3 + 0] = -0.759485f;	val_dir[4976*3 + 1] = -0.419026f;	val_dir[4976*3 + 2] = 0.497594f;
 	val_dir[4977*3 + 0] = -0.735316f;	val_dir[4977*3 + 1] = -0.393919f;	val_dir[4977*3 + 2] = 0.551487f;
 	val_dir[4978*3 + 0] = -0.708079f;	val_dir[4978*3 + 1] = -0.367152f;	val_dir[4978*3 + 2] = 0.603178f;
 	val_dir[4979*3 + 0] = -0.678133f;	val_dir[4979*3 + 1] = -0.339066f;	val_dir[4979*3 + 2] = 0.652051f;
 	val_dir[4980*3 + 0] = -0.645928f;	val_dir[4980*3 + 1] = -0.310045f;	val_dir[4980*3 + 2] = 0.697602f;
 	val_dir[4981*3 + 0] = -0.611974f;	val_dir[4981*3 + 1] = -0.280488f;	val_dir[4981*3 + 2] = 0.739469f;
 	val_dir[4982*3 + 0] = -0.576805f;	val_dir[4982*3 + 1] = -0.250785f;	val_dir[4982*3 + 2] = 0.777433f;
 	val_dir[4983*3 + 0] = -0.540947f;	val_dir[4983*3 + 1] = -0.221297f;	val_dir[4983*3 + 2] = 0.811421f;
 	val_dir[4984*3 + 0] = -0.504889f;	val_dir[4984*3 + 1] = -0.192339f;	val_dir[4984*3 + 2] = 0.841482f;
 	val_dir[4985*3 + 0] = -0.469065f;	val_dir[4985*3 + 1] = -0.164173f;	val_dir[4985*3 + 2] = 0.867770f;
 	val_dir[4986*3 + 0] = -0.433840f;	val_dir[4986*3 + 1] = -0.137002f;	val_dir[4986*3 + 2] = 0.890513f;
 	val_dir[4987*3 + 0] = -0.399507f;	val_dir[4987*3 + 1] = -0.110974f;	val_dir[4987*3 + 2] = 0.909988f;
 	val_dir[4988*3 + 0] = -0.366291f;	val_dir[4988*3 + 1] = -0.086186f;	val_dir[4988*3 + 2] = 0.92650f;
 	val_dir[4989*3 + 0] = -0.334351f;	val_dir[4989*3 + 1] = -0.062691f;	val_dir[4989*3 + 2] = 0.940361f;
 	val_dir[4990*3 + 0] = -0.303791f;	val_dir[4990*3 + 1] = -0.040505f;	val_dir[4990*3 + 2] = 0.951877f;
 	val_dir[4991*3 + 0] = -0.274668f;	val_dir[4991*3 + 1] = -0.019619f;	val_dir[4991*3 + 2] = 0.961339f;
 	val_dir[4992*3 + 0] = -0.247004f;	val_dir[4992*3 + 1] = 0.0f;	val_dir[4992*3 + 2] = 0.969015f;
 	val_dir[4993*3 + 0] = -0.228998f;	val_dir[4993*3 + 1] = 0.019083f;	val_dir[4993*3 + 2] = 0.973240f;
 	val_dir[4994*3 + 0] = -0.210683f;	val_dir[4994*3 + 1] = 0.038306f;	val_dir[4994*3 + 2] = 0.976804f;
 	val_dir[4995*3 + 0] = -0.192095f;	val_dir[4995*3 + 1] = 0.057628f;	val_dir[4995*3 + 2] = 0.979683f;
 	val_dir[4996*3 + 0] = -0.173269f;	val_dir[4996*3 + 1] = 0.077009f;	val_dir[4996*3 + 2] = 0.981859f;
 	val_dir[4997*3 + 0] = -0.154246f;	val_dir[4997*3 + 1] = 0.096404f;	val_dir[4997*3 + 2] = 0.983318f;
 	val_dir[4998*3 + 0] = -0.135066f;	val_dir[4998*3 + 1] = 0.115771f;	val_dir[4998*3 + 2] = 0.984050f;
 	val_dir[4999*3 + 0] = -0.115771f;	val_dir[4999*3 + 1] = 0.135066f;	val_dir[4999*3 + 2] = 0.984050f;
 	val_dir[5000*3 + 0] = -0.096404f;	val_dir[5000*3 + 1] = 0.154246f;	val_dir[5000*3 + 2] = 0.983318f;
 	val_dir[5001*3 + 0] = -0.077009f;	val_dir[5001*3 + 1] = 0.173269f;	val_dir[5001*3 + 2] = 0.981859f;
 	val_dir[5002*3 + 0] = -0.057628f;	val_dir[5002*3 + 1] = 0.192095f;	val_dir[5002*3 + 2] = 0.979683f;
 	val_dir[5003*3 + 0] = -0.038306f;	val_dir[5003*3 + 1] = 0.210683f;	val_dir[5003*3 + 2] = 0.976804f;
 	val_dir[5004*3 + 0] = -0.019083f;	val_dir[5004*3 + 1] = 0.228998f;	val_dir[5004*3 + 2] = 0.973240f;
 	val_dir[5005*3 + 0] = 0.0f;	val_dir[5005*3 + 1] = 0.247004f;	val_dir[5005*3 + 2] = 0.969015f;
 	val_dir[5006*3 + 0] = 0.019619f;	val_dir[5006*3 + 1] = 0.274668f;	val_dir[5006*3 + 2] = 0.961339f;
 	val_dir[5007*3 + 0] = 0.040505f;	val_dir[5007*3 + 1] = 0.303791f;	val_dir[5007*3 + 2] = 0.951877f;
 	val_dir[5008*3 + 0] = 0.062691f;	val_dir[5008*3 + 1] = 0.334351f;	val_dir[5008*3 + 2] = 0.940361f;
 	val_dir[5009*3 + 0] = 0.086186f;	val_dir[5009*3 + 1] = 0.366291f;	val_dir[5009*3 + 2] = 0.92650f;
 	val_dir[5010*3 + 0] = 0.110974f;	val_dir[5010*3 + 1] = 0.399507f;	val_dir[5010*3 + 2] = 0.909988f;
 	val_dir[5011*3 + 0] = 0.137002f;	val_dir[5011*3 + 1] = 0.433840f;	val_dir[5011*3 + 2] = 0.890513f;
 	val_dir[5012*3 + 0] = 0.164173f;	val_dir[5012*3 + 1] = 0.469065f;	val_dir[5012*3 + 2] = 0.867770f;
 	val_dir[5013*3 + 0] = 0.192339f;	val_dir[5013*3 + 1] = 0.504889f;	val_dir[5013*3 + 2] = 0.841482f;
 	val_dir[5014*3 + 0] = 0.221297f;	val_dir[5014*3 + 1] = 0.540947f;	val_dir[5014*3 + 2] = 0.811421f;
 	val_dir[5015*3 + 0] = 0.250785f;	val_dir[5015*3 + 1] = 0.576805f;	val_dir[5015*3 + 2] = 0.777433f;
 	val_dir[5016*3 + 0] = 0.280488f;	val_dir[5016*3 + 1] = 0.611974f;	val_dir[5016*3 + 2] = 0.739469f;
 	val_dir[5017*3 + 0] = 0.310045f;	val_dir[5017*3 + 1] = 0.645928f;	val_dir[5017*3 + 2] = 0.697602f;
 	val_dir[5018*3 + 0] = 0.339066f;	val_dir[5018*3 + 1] = 0.678133f;	val_dir[5018*3 + 2] = 0.652051f;
 	val_dir[5019*3 + 0] = 0.367152f;	val_dir[5019*3 + 1] = 0.708079f;	val_dir[5019*3 + 2] = 0.603178f;
 	val_dir[5020*3 + 0] = 0.393919f;	val_dir[5020*3 + 1] = 0.735316f;	val_dir[5020*3 + 2] = 0.551487f;
 	val_dir[5021*3 + 0] = 0.419026f;	val_dir[5021*3 + 1] = 0.759485f;	val_dir[5021*3 + 2] = 0.497594f;
 	val_dir[5022*3 + 0] = 0.442193f;	val_dir[5022*3 + 1] = 0.780340f;	val_dir[5022*3 + 2] = 0.442193f;
 	val_dir[5023*3 + 0] = 0.463217f;	val_dir[5023*3 + 1] = 0.797762f;	val_dir[5023*3 + 2] = 0.386014f;
 	val_dir[5024*3 + 0] = 0.481979f;	val_dir[5024*3 + 1] = 0.811754f;	val_dir[5024*3 + 2] = 0.329775f;
 	val_dir[5025*3 + 0] = 0.498445f;	val_dir[5025*3 + 1] = 0.822434f;	val_dir[5025*3 + 2] = 0.274145f;
 	val_dir[5026*3 + 0] = 0.512653f;	val_dir[5026*3 + 1] = 0.830009f;	val_dir[5026*3 + 2] = 0.219708f;
 	val_dir[5027*3 + 0] = 0.524703f;	val_dir[5027*3 + 1] = 0.834754f;	val_dir[5027*3 + 2] = 0.166951f;
 	val_dir[5028*3 + 0] = 0.534739f;	val_dir[5028*3 + 1] = 0.836983f;	val_dir[5028*3 + 2] = 0.116248f;
 	val_dir[5029*3 + 0] = 0.542936f;	val_dir[5029*3 + 1] = 0.837027f;	val_dir[5029*3 + 2] = 0.067867f;
 	val_dir[5030*3 + 0] = 0.549484f;	val_dir[5030*3 + 1] = 0.835215f;	val_dir[5030*3 + 2] = 0.021979f;
 	val_dir[5031*3 + 0] = -0.841879f;	val_dir[5031*3 + 1] = -0.539666f;	val_dir[5031*3 + 2] = 0.0f;
 	val_dir[5032*3 + 0] = -0.844653f;	val_dir[5032*3 + 1] = -0.533465f;	val_dir[5032*3 + 2] = 0.044455f;
 	val_dir[5033*3 + 0] = -0.845728f;	val_dir[5033*3 + 1] = -0.525723f;	val_dir[5033*3 + 2] = 0.091430f;
 	val_dir[5034*3 + 0] = -0.844782f;	val_dir[5034*3 + 1] = -0.516256f;	val_dir[5034*3 + 2] = 0.140797f;
 	val_dir[5035*3 + 0] = -0.841482f;	val_dir[5035*3 + 1] = -0.504889f;	val_dir[5035*3 + 2] = 0.192339f;
 	val_dir[5036*3 + 0] = -0.835504f;	val_dir[5036*3 + 1] = -0.491473f;	val_dir[5036*3 + 2] = 0.245737f;
 	val_dir[5037*3 + 0] = -0.826551f;	val_dir[5037*3 + 1] = -0.475893f;	val_dir[5037*3 + 2] = 0.300564f;
 	val_dir[5038*3 + 0] = -0.814379f;	val_dir[5038*3 + 1] = -0.458088f;	val_dir[5038*3 + 2] = 0.356291f;
 	val_dir[5039*3 + 0] = -0.798820f;	val_dir[5039*3 + 1] = -0.438063f;	val_dir[5039*3 + 2] = 0.412294f;
 	val_dir[5040*3 + 0] = -0.779813f;	val_dir[5040*3 + 1] = -0.41590f;	val_dir[5040*3 + 2] = 0.467888f;
 	val_dir[5041*3 + 0] = -0.757410f;	val_dir[5041*3 + 1] = -0.391764f;	val_dir[5041*3 + 2] = 0.522352f;
 	val_dir[5042*3 + 0] = -0.731792f;	val_dir[5042*3 + 1] = -0.365896f;	val_dir[5042*3 + 2] = 0.574979f;
 	val_dir[5043*3 + 0] = -0.703259f;	val_dir[5043*3 + 1] = -0.338606f;	val_dir[5043*3 + 2] = 0.625119f;
 	val_dir[5044*3 + 0] = -0.672214f;	val_dir[5044*3 + 1] = -0.310253f;	val_dir[5044*3 + 2] = 0.672214f;
 	val_dir[5045*3 + 0] = -0.639138f;	val_dir[5045*3 + 1] = -0.281220f;	val_dir[5045*3 + 2] = 0.715834f;
 	val_dir[5046*3 + 0] = -0.604551f;	val_dir[5046*3 + 1] = -0.251896f;	val_dir[5046*3 + 2] = 0.755689f;
 	val_dir[5047*3 + 0] = -0.568986f;	val_dir[5047*3 + 1] = -0.222647f;	val_dir[5047*3 + 2] = 0.791633f;
 	val_dir[5048*3 + 0] = -0.532952f;	val_dir[5048*3 + 1] = -0.193801f;	val_dir[5048*3 + 2] = 0.823653f;
 	val_dir[5049*3 + 0] = -0.496911f;	val_dir[5049*3 + 1] = -0.165637f;	val_dir[5049*3 + 2] = 0.851847f;
 	val_dir[5050*3 + 0] = -0.461266f;	val_dir[5050*3 + 1] = -0.138380f;	val_dir[5050*3 + 2] = 0.876405f;
 	val_dir[5051*3 + 0] = -0.426348f;	val_dir[5051*3 + 1] = -0.112197f;	val_dir[5051*3 + 2] = 0.897574f;
 	val_dir[5052*3 + 0] = -0.392419f;	val_dir[5052*3 + 1] = -0.087204f;	val_dir[5052*3 + 2] = 0.915644f;
 	val_dir[5053*3 + 0] = -0.359673f;	val_dir[5053*3 + 1] = -0.063472f;	val_dir[5053*3 + 2] = 0.930917f;
 	val_dir[5054*3 + 0] = -0.328244f;	val_dir[5054*3 + 1] = -0.041030f;	val_dir[5054*3 + 2] = 0.943701f;
 	val_dir[5055*3 + 0] = -0.298216f;	val_dir[5055*3 + 1] = -0.019881f;	val_dir[5055*3 + 2] = 0.954291f;
 	val_dir[5056*3 + 0] = -0.269630f;	val_dir[5056*3 + 1] = 0.0f;	val_dir[5056*3 + 2] = 0.962964f;
 	val_dir[5057*3 + 0] = -0.251587f;	val_dir[5057*3 + 1] = 0.019353f;	val_dir[5057*3 + 2] = 0.967641f;
 	val_dir[5058*3 + 0] = -0.233197f;	val_dir[5058*3 + 1] = 0.038866f;	val_dir[5058*3 + 2] = 0.971653f;
 	val_dir[5059*3 + 0] = -0.214494f;	val_dir[5059*3 + 1] = 0.058498f;	val_dir[5059*3 + 2] = 0.974972f;
 	val_dir[5060*3 + 0] = -0.195515f;	val_dir[5060*3 + 1] = 0.078206f;	val_dir[5060*3 + 2] = 0.977577f;
 	val_dir[5061*3 + 0] = -0.176301f;	val_dir[5061*3 + 1] = 0.097945f;	val_dir[5061*3 + 2] = 0.979451f;
 	val_dir[5062*3 + 0] = -0.156893f;	val_dir[5062*3 + 1] = 0.117670f;	val_dir[5062*3 + 2] = 0.980581f;
 	val_dir[5063*3 + 0] = -0.137334f;	val_dir[5063*3 + 1] = 0.137334f;	val_dir[5063*3 + 2] = 0.980958f;
 	val_dir[5064*3 + 0] = -0.117670f;	val_dir[5064*3 + 1] = 0.156893f;	val_dir[5064*3 + 2] = 0.980581f;
 	val_dir[5065*3 + 0] = -0.097945f;	val_dir[5065*3 + 1] = 0.176301f;	val_dir[5065*3 + 2] = 0.979451f;
 	val_dir[5066*3 + 0] = -0.078206f;	val_dir[5066*3 + 1] = 0.195515f;	val_dir[5066*3 + 2] = 0.977577f;
 	val_dir[5067*3 + 0] = -0.058498f;	val_dir[5067*3 + 1] = 0.214494f;	val_dir[5067*3 + 2] = 0.974972f;
 	val_dir[5068*3 + 0] = -0.038866f;	val_dir[5068*3 + 1] = 0.233197f;	val_dir[5068*3 + 2] = 0.971653f;
 	val_dir[5069*3 + 0] = -0.019353f;	val_dir[5069*3 + 1] = 0.251587f;	val_dir[5069*3 + 2] = 0.967641f;
 	val_dir[5070*3 + 0] = 0.0f;	val_dir[5070*3 + 1] = 0.269630f;	val_dir[5070*3 + 2] = 0.962964f;
 	val_dir[5071*3 + 0] = 0.019881f;	val_dir[5071*3 + 1] = 0.298216f;	val_dir[5071*3 + 2] = 0.954291f;
 	val_dir[5072*3 + 0] = 0.041030f;	val_dir[5072*3 + 1] = 0.328244f;	val_dir[5072*3 + 2] = 0.943701f;
 	val_dir[5073*3 + 0] = 0.063472f;	val_dir[5073*3 + 1] = 0.359673f;	val_dir[5073*3 + 2] = 0.930917f;
 	val_dir[5074*3 + 0] = 0.087204f;	val_dir[5074*3 + 1] = 0.392419f;	val_dir[5074*3 + 2] = 0.915644f;
 	val_dir[5075*3 + 0] = 0.112197f;	val_dir[5075*3 + 1] = 0.426348f;	val_dir[5075*3 + 2] = 0.897574f;
 	val_dir[5076*3 + 0] = 0.138380f;	val_dir[5076*3 + 1] = 0.461266f;	val_dir[5076*3 + 2] = 0.876405f;
 	val_dir[5077*3 + 0] = 0.165637f;	val_dir[5077*3 + 1] = 0.496911f;	val_dir[5077*3 + 2] = 0.851847f;
 	val_dir[5078*3 + 0] = 0.193801f;	val_dir[5078*3 + 1] = 0.532952f;	val_dir[5078*3 + 2] = 0.823653f;
 	val_dir[5079*3 + 0] = 0.222647f;	val_dir[5079*3 + 1] = 0.568986f;	val_dir[5079*3 + 2] = 0.791633f;
 	val_dir[5080*3 + 0] = 0.251896f;	val_dir[5080*3 + 1] = 0.604551f;	val_dir[5080*3 + 2] = 0.755689f;
 	val_dir[5081*3 + 0] = 0.281220f;	val_dir[5081*3 + 1] = 0.639138f;	val_dir[5081*3 + 2] = 0.715834f;
 	val_dir[5082*3 + 0] = 0.310253f;	val_dir[5082*3 + 1] = 0.672214f;	val_dir[5082*3 + 2] = 0.672214f;
 	val_dir[5083*3 + 0] = 0.338606f;	val_dir[5083*3 + 1] = 0.703259f;	val_dir[5083*3 + 2] = 0.625119f;
 	val_dir[5084*3 + 0] = 0.365896f;	val_dir[5084*3 + 1] = 0.731792f;	val_dir[5084*3 + 2] = 0.574979f;
 	val_dir[5085*3 + 0] = 0.391764f;	val_dir[5085*3 + 1] = 0.757410f;	val_dir[5085*3 + 2] = 0.522352f;
 	val_dir[5086*3 + 0] = 0.41590f;	val_dir[5086*3 + 1] = 0.779813f;	val_dir[5086*3 + 2] = 0.467888f;
 	val_dir[5087*3 + 0] = 0.438063f;	val_dir[5087*3 + 1] = 0.798820f;	val_dir[5087*3 + 2] = 0.412294f;
 	val_dir[5088*3 + 0] = 0.458088f;	val_dir[5088*3 + 1] = 0.814379f;	val_dir[5088*3 + 2] = 0.356291f;
 	val_dir[5089*3 + 0] = 0.475893f;	val_dir[5089*3 + 1] = 0.826551f;	val_dir[5089*3 + 2] = 0.300564f;
 	val_dir[5090*3 + 0] = 0.491473f;	val_dir[5090*3 + 1] = 0.835504f;	val_dir[5090*3 + 2] = 0.245737f;
 	val_dir[5091*3 + 0] = 0.504889f;	val_dir[5091*3 + 1] = 0.841482f;	val_dir[5091*3 + 2] = 0.192339f;
 	val_dir[5092*3 + 0] = 0.516256f;	val_dir[5092*3 + 1] = 0.844782f;	val_dir[5092*3 + 2] = 0.140797f;
 	val_dir[5093*3 + 0] = 0.525723f;	val_dir[5093*3 + 1] = 0.845728f;	val_dir[5093*3 + 2] = 0.091430f;
 	val_dir[5094*3 + 0] = 0.533465f;	val_dir[5094*3 + 1] = 0.844653f;	val_dir[5094*3 + 2] = 0.044455f;
 	val_dir[5095*3 + 0] = 0.539666f;	val_dir[5095*3 + 1] = 0.841879f;	val_dir[5095*3 + 2] = 0.0f;
 	val_dir[5096*3 + 0] = -0.851455f;	val_dir[5096*3 + 1] = -0.523973f;	val_dir[5096*3 + 2] = 0.021832f;
 	val_dir[5097*3 + 0] = -0.853556f;	val_dir[5097*3 + 1] = -0.516626f;	val_dir[5097*3 + 2] = 0.067386f;
 	val_dir[5098*3 + 0] = -0.853796f;	val_dir[5098*3 + 1] = -0.507662f;	val_dir[5098*3 + 2] = 0.115378f;
 	val_dir[5099*3 + 0] = -0.851847f;	val_dir[5099*3 + 1] = -0.496911f;	val_dir[5099*3 + 2] = 0.165637f;
 	val_dir[5100*3 + 0] = -0.847381f;	val_dir[5100*3 + 1] = -0.484217f;	val_dir[5100*3 + 2] = 0.217898f;
 	val_dir[5101*3 + 0] = -0.840083f;	val_dir[5101*3 + 1] = -0.469458f;	val_dir[5101*3 + 2] = 0.271791f;
 	val_dir[5102*3 + 0] = -0.829680f;	val_dir[5102*3 + 1] = -0.452553f;	val_dir[5102*3 + 2] = 0.326844f;
 	val_dir[5103*3 + 0] = -0.815966f;	val_dir[5103*3 + 1] = -0.433482f;	val_dir[5103*3 + 2] = 0.382484f;
 	val_dir[5104*3 + 0] = -0.798820f;	val_dir[5104*3 + 1] = -0.412294f;	val_dir[5104*3 + 2] = 0.438063f;
 	val_dir[5105*3 + 0] = -0.778237f;	val_dir[5105*3 + 1] = -0.389118f;	val_dir[5105*3 + 2] = 0.492883f;
 	val_dir[5106*3 + 0] = -0.754329f;	val_dir[5106*3 + 1] = -0.364159f;	val_dir[5106*3 + 2] = 0.546238f;
 	val_dir[5107*3 + 0] = -0.727334f;	val_dir[5107*3 + 1] = -0.337691f;	val_dir[5107*3 + 2] = 0.597453f;
 	val_dir[5108*3 + 0] = -0.697602f;	val_dir[5108*3 + 1] = -0.310045f;	val_dir[5108*3 + 2] = 0.645928f;
 	val_dir[5109*3 + 0] = -0.665574f;	val_dir[5109*3 + 1] = -0.281589f;	val_dir[5109*3 + 2] = 0.691173f;
 	val_dir[5110*3 + 0] = -0.631748f;	val_dir[5110*3 + 1] = -0.252699f;	val_dir[5110*3 + 2] = 0.732828f;
 	val_dir[5111*3 + 0] = -0.596653f;	val_dir[5111*3 + 1] = -0.223745f;	val_dir[5111*3 + 2] = 0.770677f;
 	val_dir[5112*3 + 0] = -0.560809f;	val_dir[5112*3 + 1] = -0.195064f;	val_dir[5112*3 + 2] = 0.804639f;
 	val_dir[5113*3 + 0] = -0.524703f;	val_dir[5113*3 + 1] = -0.166951f;	val_dir[5113*3 + 2] = 0.834754f;
 	val_dir[5114*3 + 0] = -0.488769f;	val_dir[5114*3 + 1] = -0.139648f;	val_dir[5114*3 + 2] = 0.861164f;
 	val_dir[5115*3 + 0] = -0.453376f;	val_dir[5115*3 + 1] = -0.113344f;	val_dir[5115*3 + 2] = 0.884083f;
 	val_dir[5116*3 + 0] = -0.418823f;	val_dir[5116*3 + 1] = -0.088173f;	val_dir[5116*3 + 2] = 0.903777f;
 	val_dir[5117*3 + 0] = -0.385341f;	val_dir[5117*3 + 1] = -0.064223f;	val_dir[5117*3 + 2] = 0.920537f;
 	val_dir[5118*3 + 0] = -0.353096f;	val_dir[5118*3 + 1] = -0.041541f;	val_dir[5118*3 + 2] = 0.934665f;
 	val_dir[5119*3 + 0] = -0.322198f;	val_dir[5119*3 + 1] = -0.020137f;	val_dir[5119*3 + 2] = 0.946458f;
 	val_dir[5120*3 + 0] = -0.292714f;	val_dir[5120*3 + 1] = 0.0f;	val_dir[5120*3 + 2] = 0.95620f;
 	val_dir[5121*3 + 0] = -0.274668f;	val_dir[5121*3 + 1] = 0.019619f;	val_dir[5121*3 + 2] = 0.961339f;
 	val_dir[5122*3 + 0] = -0.256235f;	val_dir[5122*3 + 1] = 0.039421f;	val_dir[5122*3 + 2] = 0.965810f;
 	val_dir[5123*3 + 0] = -0.237449f;	val_dir[5123*3 + 1] = 0.059362f;	val_dir[5123*3 + 2] = 0.969584f;
 	val_dir[5124*3 + 0] = -0.218347f;	val_dir[5124*3 + 1] = 0.079399f;	val_dir[5124*3 + 2] = 0.972636f;
 	val_dir[5125*3 + 0] = -0.198968f;	val_dir[5125*3 + 1] = 0.099484f;	val_dir[5125*3 + 2] = 0.974943f;
 	val_dir[5126*3 + 0] = -0.179355f;	val_dir[5126*3 + 1] = 0.119570f;	val_dir[5126*3 + 2] = 0.976491f;
 	val_dir[5127*3 + 0] = -0.159554f;	val_dir[5127*3 + 1] = 0.139610f;	val_dir[5127*3 + 2] = 0.977267f;
 	val_dir[5128*3 + 0] = -0.139610f;	val_dir[5128*3 + 1] = 0.159554f;	val_dir[5128*3 + 2] = 0.977267f;
 	val_dir[5129*3 + 0] = -0.119570f;	val_dir[5129*3 + 1] = 0.179355f;	val_dir[5129*3 + 2] = 0.976491f;
 	val_dir[5130*3 + 0] = -0.099484f;	val_dir[5130*3 + 1] = 0.198968f;	val_dir[5130*3 + 2] = 0.974943f;
 	val_dir[5131*3 + 0] = -0.079399f;	val_dir[5131*3 + 1] = 0.218347f;	val_dir[5131*3 + 2] = 0.972636f;
 	val_dir[5132*3 + 0] = -0.059362f;	val_dir[5132*3 + 1] = 0.237449f;	val_dir[5132*3 + 2] = 0.969584f;
 	val_dir[5133*3 + 0] = -0.039421f;	val_dir[5133*3 + 1] = 0.256235f;	val_dir[5133*3 + 2] = 0.965810f;
 	val_dir[5134*3 + 0] = -0.019619f;	val_dir[5134*3 + 1] = 0.274668f;	val_dir[5134*3 + 2] = 0.961339f;
 	val_dir[5135*3 + 0] = 0.0f;	val_dir[5135*3 + 1] = 0.292714f;	val_dir[5135*3 + 2] = 0.95620f;
 	val_dir[5136*3 + 0] = 0.020137f;	val_dir[5136*3 + 1] = 0.322198f;	val_dir[5136*3 + 2] = 0.946458f;
 	val_dir[5137*3 + 0] = 0.041541f;	val_dir[5137*3 + 1] = 0.353096f;	val_dir[5137*3 + 2] = 0.934665f;
 	val_dir[5138*3 + 0] = 0.064223f;	val_dir[5138*3 + 1] = 0.385341f;	val_dir[5138*3 + 2] = 0.920537f;
 	val_dir[5139*3 + 0] = 0.088173f;	val_dir[5139*3 + 1] = 0.418823f;	val_dir[5139*3 + 2] = 0.903777f;
 	val_dir[5140*3 + 0] = 0.113344f;	val_dir[5140*3 + 1] = 0.453376f;	val_dir[5140*3 + 2] = 0.884083f;
 	val_dir[5141*3 + 0] = 0.139648f;	val_dir[5141*3 + 1] = 0.488769f;	val_dir[5141*3 + 2] = 0.861164f;
 	val_dir[5142*3 + 0] = 0.166951f;	val_dir[5142*3 + 1] = 0.524703f;	val_dir[5142*3 + 2] = 0.834754f;
 	val_dir[5143*3 + 0] = 0.195064f;	val_dir[5143*3 + 1] = 0.560809f;	val_dir[5143*3 + 2] = 0.804639f;
 	val_dir[5144*3 + 0] = 0.223745f;	val_dir[5144*3 + 1] = 0.596653f;	val_dir[5144*3 + 2] = 0.770677f;
 	val_dir[5145*3 + 0] = 0.252699f;	val_dir[5145*3 + 1] = 0.631748f;	val_dir[5145*3 + 2] = 0.732828f;
 	val_dir[5146*3 + 0] = 0.281589f;	val_dir[5146*3 + 1] = 0.665574f;	val_dir[5146*3 + 2] = 0.691173f;
 	val_dir[5147*3 + 0] = 0.310045f;	val_dir[5147*3 + 1] = 0.697602f;	val_dir[5147*3 + 2] = 0.645928f;
 	val_dir[5148*3 + 0] = 0.337691f;	val_dir[5148*3 + 1] = 0.727334f;	val_dir[5148*3 + 2] = 0.597453f;
 	val_dir[5149*3 + 0] = 0.364159f;	val_dir[5149*3 + 1] = 0.754329f;	val_dir[5149*3 + 2] = 0.546238f;
 	val_dir[5150*3 + 0] = 0.389118f;	val_dir[5150*3 + 1] = 0.778237f;	val_dir[5150*3 + 2] = 0.492883f;
 	val_dir[5151*3 + 0] = 0.412294f;	val_dir[5151*3 + 1] = 0.798820f;	val_dir[5151*3 + 2] = 0.438063f;
 	val_dir[5152*3 + 0] = 0.433482f;	val_dir[5152*3 + 1] = 0.815966f;	val_dir[5152*3 + 2] = 0.382484f;
 	val_dir[5153*3 + 0] = 0.452553f;	val_dir[5153*3 + 1] = 0.829680f;	val_dir[5153*3 + 2] = 0.326844f;
 	val_dir[5154*3 + 0] = 0.469458f;	val_dir[5154*3 + 1] = 0.840083f;	val_dir[5154*3 + 2] = 0.271791f;
 	val_dir[5155*3 + 0] = 0.484217f;	val_dir[5155*3 + 1] = 0.847381f;	val_dir[5155*3 + 2] = 0.217898f;
 	val_dir[5156*3 + 0] = 0.496911f;	val_dir[5156*3 + 1] = 0.851847f;	val_dir[5156*3 + 2] = 0.165637f;
 	val_dir[5157*3 + 0] = 0.507662f;	val_dir[5157*3 + 1] = 0.853796f;	val_dir[5157*3 + 2] = 0.115378f;
 	val_dir[5158*3 + 0] = 0.516626f;	val_dir[5158*3 + 1] = 0.853556f;	val_dir[5158*3 + 2] = 0.067386f;
 	val_dir[5159*3 + 0] = 0.523973f;	val_dir[5159*3 + 1] = 0.851455f;	val_dir[5159*3 + 2] = 0.021832f;
 	val_dir[5160*3 + 0] = -0.857493f;	val_dir[5160*3 + 1] = -0.514496f;	val_dir[5160*3 + 2] = 0.0f;
 	val_dir[5161*3 + 0] = -0.860527f;	val_dir[5161*3 + 1] = -0.507490f;	val_dir[5161*3 + 2] = 0.044130f;
 	val_dir[5162*3 + 0] = -0.861857f;	val_dir[5162*3 + 1] = -0.498970f;	val_dir[5162*3 + 2] = 0.090722f;
 	val_dir[5163*3 + 0] = -0.861164f;	val_dir[5163*3 + 1] = -0.488769f;	val_dir[5163*3 + 2] = 0.139648f;
 	val_dir[5164*3 + 0] = -0.858116f;	val_dir[5164*3 + 1] = -0.476731f;	val_dir[5164*3 + 2] = 0.190693f;
 	val_dir[5165*3 + 0] = -0.852392f;	val_dir[5165*3 + 1] = -0.462727f;	val_dir[5165*3 + 2] = 0.243541f;
 	val_dir[5166*3 + 0] = -0.843696f;	val_dir[5166*3 + 1] = -0.446662f;	val_dir[5166*3 + 2] = 0.297775f;
 	val_dir[5167*3 + 0] = -0.831786f;	val_dir[5167*3 + 1] = -0.428496f;	val_dir[5167*3 + 2] = 0.352879f;
 	val_dir[5168*3 + 0] = -0.816497f;	val_dir[5168*3 + 1] = -0.408248f;	val_dir[5168*3 + 2] = 0.408248f;
 	val_dir[5169*3 + 0] = -0.797762f;	val_dir[5169*3 + 1] = -0.386014f;	val_dir[5169*3 + 2] = 0.463217f;
 	val_dir[5170*3 + 0] = -0.775632f;	val_dir[5170*3 + 1] = -0.361961f;	val_dir[5170*3 + 2] = 0.517088f;
 	val_dir[5171*3 + 0] = -0.750279f;	val_dir[5171*3 + 1] = -0.336332f;	val_dir[5171*3 + 2] = 0.569177f;
 	val_dir[5172*3 + 0] = -0.721995f;	val_dir[5172*3 + 1] = -0.309426f;	val_dir[5172*3 + 2] = 0.618853f;
 	val_dir[5173*3 + 0] = -0.691173f;	val_dir[5173*3 + 1] = -0.281589f;	val_dir[5173*3 + 2] = 0.665574f;
 	val_dir[5174*3 + 0] = -0.658281f;	val_dir[5174*3 + 1] = -0.253185f;	val_dir[5174*3 + 2] = 0.708918f;
 	val_dir[5175*3 + 0] = -0.623831f;	val_dir[5175*3 + 1] = -0.224579f;	val_dir[5175*3 + 2] = 0.748598f;
 	val_dir[5176*3 + 0] = -0.588348f;	val_dir[5176*3 + 1] = -0.196116f;	val_dir[5176*3 + 2] = 0.784465f;
 	val_dir[5177*3 + 0] = -0.552336f;	val_dir[5177*3 + 1] = -0.168102f;	val_dir[5177*3 + 2] = 0.816497f;
 	val_dir[5178*3 + 0] = -0.516256f;	val_dir[5178*3 + 1] = -0.140797f;	val_dir[5178*3 + 2] = 0.844782f;
 	val_dir[5179*3 + 0] = -0.480510f;	val_dir[5179*3 + 1] = -0.114407f;	val_dir[5179*3 + 2] = 0.869495f;
 	val_dir[5180*3 + 0] = -0.445435f;	val_dir[5180*3 + 1] = -0.089087f;	val_dir[5180*3 + 2] = 0.890871f;
 	val_dir[5181*3 + 0] = -0.411298f;	val_dir[5181*3 + 1] = -0.064942f;	val_dir[5181*3 + 2] = 0.909185f;
 	val_dir[5182*3 + 0] = -0.378298f;	val_dir[5182*3 + 1] = -0.042033f;	val_dir[5182*3 + 2] = 0.924729f;
 	val_dir[5183*3 + 0] = -0.346578f;	val_dir[5183*3 + 1] = -0.020387f;	val_dir[5183*3 + 2] = 0.93780f;
 	val_dir[5184*3 + 0] = -0.316228f;	val_dir[5184*3 + 1] = 0.0f;	val_dir[5184*3 + 2] = 0.948683f;
 	val_dir[5185*3 + 0] = -0.298216f;	val_dir[5185*3 + 1] = 0.019881f;	val_dir[5185*3 + 2] = 0.954291f;
 	val_dir[5186*3 + 0] = -0.279776f;	val_dir[5186*3 + 1] = 0.039968f;	val_dir[5186*3 + 2] = 0.959233f;
 	val_dir[5187*3 + 0] = -0.260941f;	val_dir[5187*3 + 1] = 0.060217f;	val_dir[5187*3 + 2] = 0.963475f;
 	val_dir[5188*3 + 0] = -0.241747f;	val_dir[5188*3 + 1] = 0.080582f;	val_dir[5188*3 + 2] = 0.966988f;
 	val_dir[5189*3 + 0] = -0.222234f;	val_dir[5189*3 + 1] = 0.101015f;	val_dir[5189*3 + 2] = 0.969746f;
 	val_dir[5190*3 + 0] = -0.202444f;	val_dir[5190*3 + 1] = 0.121466f;	val_dir[5190*3 + 2] = 0.971732f;
 	val_dir[5191*3 + 0] = -0.182424f;	val_dir[5191*3 + 1] = 0.141885f;	val_dir[5191*3 + 2] = 0.972929f;
 	val_dir[5192*3 + 0] = -0.162221f;	val_dir[5192*3 + 1] = 0.162221f;	val_dir[5192*3 + 2] = 0.973329f;
 	val_dir[5193*3 + 0] = -0.141885f;	val_dir[5193*3 + 1] = 0.182424f;	val_dir[5193*3 + 2] = 0.972929f;
 	val_dir[5194*3 + 0] = -0.121466f;	val_dir[5194*3 + 1] = 0.202444f;	val_dir[5194*3 + 2] = 0.971732f;
 	val_dir[5195*3 + 0] = -0.101015f;	val_dir[5195*3 + 1] = 0.222234f;	val_dir[5195*3 + 2] = 0.969746f;
 	val_dir[5196*3 + 0] = -0.080582f;	val_dir[5196*3 + 1] = 0.241747f;	val_dir[5196*3 + 2] = 0.966988f;
 	val_dir[5197*3 + 0] = -0.060217f;	val_dir[5197*3 + 1] = 0.260941f;	val_dir[5197*3 + 2] = 0.963475f;
 	val_dir[5198*3 + 0] = -0.039968f;	val_dir[5198*3 + 1] = 0.279776f;	val_dir[5198*3 + 2] = 0.959233f;
 	val_dir[5199*3 + 0] = -0.019881f;	val_dir[5199*3 + 1] = 0.298216f;	val_dir[5199*3 + 2] = 0.954291f;
 	val_dir[5200*3 + 0] = 0.0f;	val_dir[5200*3 + 1] = 0.316228f;	val_dir[5200*3 + 2] = 0.948683f;
 	val_dir[5201*3 + 0] = 0.020387f;	val_dir[5201*3 + 1] = 0.346578f;	val_dir[5201*3 + 2] = 0.93780f;
 	val_dir[5202*3 + 0] = 0.042033f;	val_dir[5202*3 + 1] = 0.378298f;	val_dir[5202*3 + 2] = 0.924729f;
 	val_dir[5203*3 + 0] = 0.064942f;	val_dir[5203*3 + 1] = 0.411298f;	val_dir[5203*3 + 2] = 0.909185f;
 	val_dir[5204*3 + 0] = 0.089087f;	val_dir[5204*3 + 1] = 0.445435f;	val_dir[5204*3 + 2] = 0.890871f;
 	val_dir[5205*3 + 0] = 0.114407f;	val_dir[5205*3 + 1] = 0.480510f;	val_dir[5205*3 + 2] = 0.869495f;
 	val_dir[5206*3 + 0] = 0.140797f;	val_dir[5206*3 + 1] = 0.516256f;	val_dir[5206*3 + 2] = 0.844782f;
 	val_dir[5207*3 + 0] = 0.168102f;	val_dir[5207*3 + 1] = 0.552336f;	val_dir[5207*3 + 2] = 0.816497f;
 	val_dir[5208*3 + 0] = 0.196116f;	val_dir[5208*3 + 1] = 0.588348f;	val_dir[5208*3 + 2] = 0.784465f;
 	val_dir[5209*3 + 0] = 0.224579f;	val_dir[5209*3 + 1] = 0.623831f;	val_dir[5209*3 + 2] = 0.748598f;
 	val_dir[5210*3 + 0] = 0.253185f;	val_dir[5210*3 + 1] = 0.658281f;	val_dir[5210*3 + 2] = 0.708918f;
 	val_dir[5211*3 + 0] = 0.281589f;	val_dir[5211*3 + 1] = 0.691173f;	val_dir[5211*3 + 2] = 0.665574f;
 	val_dir[5212*3 + 0] = 0.309426f;	val_dir[5212*3 + 1] = 0.721995f;	val_dir[5212*3 + 2] = 0.618853f;
 	val_dir[5213*3 + 0] = 0.336332f;	val_dir[5213*3 + 1] = 0.750279f;	val_dir[5213*3 + 2] = 0.569177f;
 	val_dir[5214*3 + 0] = 0.361961f;	val_dir[5214*3 + 1] = 0.775632f;	val_dir[5214*3 + 2] = 0.517088f;
 	val_dir[5215*3 + 0] = 0.386014f;	val_dir[5215*3 + 1] = 0.797762f;	val_dir[5215*3 + 2] = 0.463217f;
 	val_dir[5216*3 + 0] = 0.408248f;	val_dir[5216*3 + 1] = 0.816497f;	val_dir[5216*3 + 2] = 0.408248f;
 	val_dir[5217*3 + 0] = 0.428496f;	val_dir[5217*3 + 1] = 0.831786f;	val_dir[5217*3 + 2] = 0.352879f;
 	val_dir[5218*3 + 0] = 0.446662f;	val_dir[5218*3 + 1] = 0.843696f;	val_dir[5218*3 + 2] = 0.297775f;
 	val_dir[5219*3 + 0] = 0.462727f;	val_dir[5219*3 + 1] = 0.852392f;	val_dir[5219*3 + 2] = 0.243541f;
 	val_dir[5220*3 + 0] = 0.476731f;	val_dir[5220*3 + 1] = 0.858116f;	val_dir[5220*3 + 2] = 0.190693f;
 	val_dir[5221*3 + 0] = 0.488769f;	val_dir[5221*3 + 1] = 0.861164f;	val_dir[5221*3 + 2] = 0.139648f;
 	val_dir[5222*3 + 0] = 0.498970f;	val_dir[5222*3 + 1] = 0.861857f;	val_dir[5222*3 + 2] = 0.090722f;
 	val_dir[5223*3 + 0] = 0.507490f;	val_dir[5223*3 + 1] = 0.860527f;	val_dir[5223*3 + 2] = 0.044130f;
 	val_dir[5224*3 + 0] = 0.514496f;	val_dir[5224*3 + 1] = 0.857493f;	val_dir[5224*3 + 2] = 0.0f;
 	val_dir[5225*3 + 0] = -0.866703f;	val_dir[5225*3 + 1] = -0.498354f;	val_dir[5225*3 + 2] = 0.021668f;
 	val_dir[5226*3 + 0] = -0.869030f;	val_dir[5226*3 + 1] = -0.490222f;	val_dir[5226*3 + 2] = 0.066848f;
 	val_dir[5227*3 + 0] = -0.869495f;	val_dir[5227*3 + 1] = -0.480510f;	val_dir[5227*3 + 2] = 0.114407f;
 	val_dir[5228*3 + 0] = -0.867770f;	val_dir[5228*3 + 1] = -0.469065f;	val_dir[5228*3 + 2] = 0.164173f;
 	val_dir[5229*3 + 0] = -0.863530f;	val_dir[5229*3 + 1] = -0.455752f;	val_dir[5229*3 + 2] = 0.215883f;
 	val_dir[5230*3 + 0] = -0.856465f;	val_dir[5230*3 + 1] = -0.440468f;	val_dir[5230*3 + 2] = 0.269175f;
 	val_dir[5231*3 + 0] = -0.846305f;	val_dir[5231*3 + 1] = -0.423153f;	val_dir[5231*3 + 2] = 0.323587f;
 	val_dir[5232*3 + 0] = -0.832845f;	val_dir[5232*3 + 1] = -0.403804f;	val_dir[5232*3 + 2] = 0.378566f;
 	val_dir[5233*3 + 0] = -0.815966f;	val_dir[5233*3 + 1] = -0.382484f;	val_dir[5233*3 + 2] = 0.433482f;
 	val_dir[5234*3 + 0] = -0.795657f;	val_dir[5234*3 + 1] = -0.359329f;	val_dir[5234*3 + 2] = 0.487661f;
 	val_dir[5235*3 + 0] = -0.772027f;	val_dir[5235*3 + 1] = -0.334545f;	val_dir[5235*3 + 2] = 0.540419f;
 	val_dir[5236*3 + 0] = -0.745307f;	val_dir[5236*3 + 1] = -0.308403f;	val_dir[5236*3 + 2] = 0.591105f;
 	val_dir[5237*3 + 0] = -0.715834f;	val_dir[5237*3 + 1] = -0.281220f;	val_dir[5237*3 + 2] = 0.639138f;
 	val_dir[5238*3 + 0] = -0.684038f;	val_dir[5238*3 + 1] = -0.253347f;	val_dir[5238*3 + 2] = 0.684038f;
 	val_dir[5239*3 + 0] = -0.650407f;	val_dir[5239*3 + 1] = -0.225141f;	val_dir[5239*3 + 2] = 0.725454f;
 	val_dir[5240*3 + 0] = -0.615457f;	val_dir[5240*3 + 1] = -0.196946f;	val_dir[5240*3 + 2] = 0.763167f;
 	val_dir[5241*3 + 0] = -0.579703f;	val_dir[5241*3 + 1] = -0.169080f;	val_dir[5241*3 + 2] = 0.797092f;
 	val_dir[5242*3 + 0] = -0.543627f;	val_dir[5242*3 + 1] = -0.141816f;	val_dir[5242*3 + 2] = 0.827259f;
 	val_dir[5243*3 + 0] = -0.507662f;	val_dir[5243*3 + 1] = -0.115378f;	val_dir[5243*3 + 2] = 0.853796f;
 	val_dir[5244*3 + 0] = -0.472178f;	val_dir[5244*3 + 1] = -0.089939f;	val_dir[5244*3 + 2] = 0.876903f;
 	val_dir[5245*3 + 0] = -0.437479f;	val_dir[5245*3 + 1] = -0.065622f;	val_dir[5245*3 + 2] = 0.896831f;
 	val_dir[5246*3 + 0] = -0.403799f;	val_dir[5246*3 + 1] = -0.042505f;	val_dir[5246*3 + 2] = 0.913860f;
 	val_dir[5247*3 + 0] = -0.371312f;	val_dir[5247*3 + 1] = -0.020628f;	val_dir[5247*3 + 2] = 0.928279f;
 	val_dir[5248*3 + 0] = -0.340136f;	val_dir[5248*3 + 1] = 0.0f;	val_dir[5248*3 + 2] = 0.940376f;
 	val_dir[5249*3 + 0] = -0.322198f;	val_dir[5249*3 + 1] = 0.020137f;	val_dir[5249*3 + 2] = 0.946458f;
 	val_dir[5250*3 + 0] = -0.303791f;	val_dir[5250*3 + 1] = 0.040505f;	val_dir[5250*3 + 2] = 0.951877f;
 	val_dir[5251*3 + 0] = -0.284944f;	val_dir[5251*3 + 1] = 0.061059f;	val_dir[5251*3 + 2] = 0.956597f;
 	val_dir[5252*3 + 0] = -0.265694f;	val_dir[5252*3 + 1] = 0.081752f;	val_dir[5252*3 + 2] = 0.960585f;
 	val_dir[5253*3 + 0] = -0.246079f;	val_dir[5253*3 + 1] = 0.102533f;	val_dir[5253*3 + 2] = 0.963811f;
 	val_dir[5254*3 + 0] = -0.226144f;	val_dir[5254*3 + 1] = 0.123351f;	val_dir[5254*3 + 2] = 0.966252f;
 	val_dir[5255*3 + 0] = -0.205934f;	val_dir[5255*3 + 1] = 0.144154f;	val_dir[5255*3 + 2] = 0.967890f;
 	val_dir[5256*3 + 0] = -0.185498f;	val_dir[5256*3 + 1] = 0.164887f;	val_dir[5256*3 + 2] = 0.968712f;
 	val_dir[5257*3 + 0] = -0.164887f;	val_dir[5257*3 + 1] = 0.185498f;	val_dir[5257*3 + 2] = 0.968712f;
 	val_dir[5258*3 + 0] = -0.144154f;	val_dir[5258*3 + 1] = 0.205934f;	val_dir[5258*3 + 2] = 0.967890f;
 	val_dir[5259*3 + 0] = -0.123351f;	val_dir[5259*3 + 1] = 0.226144f;	val_dir[5259*3 + 2] = 0.966252f;
 	val_dir[5260*3 + 0] = -0.102533f;	val_dir[5260*3 + 1] = 0.246079f;	val_dir[5260*3 + 2] = 0.963811f;
 	val_dir[5261*3 + 0] = -0.081752f;	val_dir[5261*3 + 1] = 0.265694f;	val_dir[5261*3 + 2] = 0.960585f;
 	val_dir[5262*3 + 0] = -0.061059f;	val_dir[5262*3 + 1] = 0.284944f;	val_dir[5262*3 + 2] = 0.956597f;
 	val_dir[5263*3 + 0] = -0.040505f;	val_dir[5263*3 + 1] = 0.303791f;	val_dir[5263*3 + 2] = 0.951877f;
 	val_dir[5264*3 + 0] = -0.020137f;	val_dir[5264*3 + 1] = 0.322198f;	val_dir[5264*3 + 2] = 0.946458f;
 	val_dir[5265*3 + 0] = 0.0f;	val_dir[5265*3 + 1] = 0.340136f;	val_dir[5265*3 + 2] = 0.940376f;
 	val_dir[5266*3 + 0] = 0.020628f;	val_dir[5266*3 + 1] = 0.371312f;	val_dir[5266*3 + 2] = 0.928279f;
 	val_dir[5267*3 + 0] = 0.042505f;	val_dir[5267*3 + 1] = 0.403799f;	val_dir[5267*3 + 2] = 0.913860f;
 	val_dir[5268*3 + 0] = 0.065622f;	val_dir[5268*3 + 1] = 0.437479f;	val_dir[5268*3 + 2] = 0.896831f;
 	val_dir[5269*3 + 0] = 0.089939f;	val_dir[5269*3 + 1] = 0.472178f;	val_dir[5269*3 + 2] = 0.876903f;
 	val_dir[5270*3 + 0] = 0.115378f;	val_dir[5270*3 + 1] = 0.507662f;	val_dir[5270*3 + 2] = 0.853796f;
 	val_dir[5271*3 + 0] = 0.141816f;	val_dir[5271*3 + 1] = 0.543627f;	val_dir[5271*3 + 2] = 0.827259f;
 	val_dir[5272*3 + 0] = 0.169080f;	val_dir[5272*3 + 1] = 0.579703f;	val_dir[5272*3 + 2] = 0.797092f;
 	val_dir[5273*3 + 0] = 0.196946f;	val_dir[5273*3 + 1] = 0.615457f;	val_dir[5273*3 + 2] = 0.763167f;
 	val_dir[5274*3 + 0] = 0.225141f;	val_dir[5274*3 + 1] = 0.650407f;	val_dir[5274*3 + 2] = 0.725454f;
 	val_dir[5275*3 + 0] = 0.253347f;	val_dir[5275*3 + 1] = 0.684038f;	val_dir[5275*3 + 2] = 0.684038f;
 	val_dir[5276*3 + 0] = 0.281220f;	val_dir[5276*3 + 1] = 0.715834f;	val_dir[5276*3 + 2] = 0.639138f;
 	val_dir[5277*3 + 0] = 0.308403f;	val_dir[5277*3 + 1] = 0.745307f;	val_dir[5277*3 + 2] = 0.591105f;
 	val_dir[5278*3 + 0] = 0.334545f;	val_dir[5278*3 + 1] = 0.772027f;	val_dir[5278*3 + 2] = 0.540419f;
 	val_dir[5279*3 + 0] = 0.359329f;	val_dir[5279*3 + 1] = 0.795657f;	val_dir[5279*3 + 2] = 0.487661f;
 	val_dir[5280*3 + 0] = 0.382484f;	val_dir[5280*3 + 1] = 0.815966f;	val_dir[5280*3 + 2] = 0.433482f;
 	val_dir[5281*3 + 0] = 0.403804f;	val_dir[5281*3 + 1] = 0.832845f;	val_dir[5281*3 + 2] = 0.378566f;
 	val_dir[5282*3 + 0] = 0.423153f;	val_dir[5282*3 + 1] = 0.846305f;	val_dir[5282*3 + 2] = 0.323587f;
 	val_dir[5283*3 + 0] = 0.440468f;	val_dir[5283*3 + 1] = 0.856465f;	val_dir[5283*3 + 2] = 0.269175f;
 	val_dir[5284*3 + 0] = 0.455752f;	val_dir[5284*3 + 1] = 0.863530f;	val_dir[5284*3 + 2] = 0.215883f;
 	val_dir[5285*3 + 0] = 0.469065f;	val_dir[5285*3 + 1] = 0.867770f;	val_dir[5285*3 + 2] = 0.164173f;
 	val_dir[5286*3 + 0] = 0.480510f;	val_dir[5286*3 + 1] = 0.869495f;	val_dir[5286*3 + 2] = 0.114407f;
 	val_dir[5287*3 + 0] = 0.490222f;	val_dir[5287*3 + 1] = 0.869030f;	val_dir[5287*3 + 2] = 0.066848f;
 	val_dir[5288*3 + 0] = 0.498354f;	val_dir[5288*3 + 1] = 0.866703f;	val_dir[5288*3 + 2] = 0.021668f;
 	val_dir[5289*3 + 0] = -0.872143f;	val_dir[5289*3 + 1] = -0.489251f;	val_dir[5289*3 + 2] = 0.0f;
 	val_dir[5290*3 + 0] = -0.875376f;	val_dir[5290*3 + 1] = -0.481457f;	val_dir[5290*3 + 2] = 0.043769f;
 	val_dir[5291*3 + 0] = -0.876903f;	val_dir[5291*3 + 1] = -0.472178f;	val_dir[5291*3 + 2] = 0.089939f;
 	val_dir[5292*3 + 0] = -0.876405f;	val_dir[5292*3 + 1] = -0.461266f;	val_dir[5292*3 + 2] = 0.138380f;
 	val_dir[5293*3 + 0] = -0.873555f;	val_dir[5293*3 + 1] = -0.448583f;	val_dir[5293*3 + 2] = 0.188877f;
 	val_dir[5294*3 + 0] = -0.868037f;	val_dir[5294*3 + 1] = -0.434019f;	val_dir[5294*3 + 2] = 0.241121f;
 	val_dir[5295*3 + 0] = -0.859559f;	val_dir[5295*3 + 1] = -0.41750f;	val_dir[5295*3 + 2] = 0.294706f;
 	val_dir[5296*3 + 0] = -0.847883f;	val_dir[5296*3 + 1] = -0.399004f;	val_dir[5296*3 + 2] = 0.349128f;
 	val_dir[5297*3 + 0] = -0.832845f;	val_dir[5297*3 + 1] = -0.378566f;	val_dir[5297*3 + 2] = 0.403804f;
 	val_dir[5298*3 + 0] = -0.814379f;	val_dir[5298*3 + 1] = -0.356291f;	val_dir[5298*3 + 2] = 0.458088f;
 	val_dir[5299*3 + 0] = -0.792530f;	val_dir[5299*3 + 1] = -0.332352f;	val_dir[5299*3 + 2] = 0.511310f;
 	val_dir[5300*3 + 0] = -0.767467f;	val_dir[5300*3 + 1] = -0.306987f;	val_dir[5300*3 + 2] = 0.562809f;
 	val_dir[5301*3 + 0] = -0.739469f;	val_dir[5301*3 + 1] = -0.280488f;	val_dir[5301*3 + 2] = 0.611974f;
 	val_dir[5302*3 + 0] = -0.708918f;	val_dir[5302*3 + 1] = -0.253185f;	val_dir[5302*3 + 2] = 0.658281f;
 	val_dir[5303*3 + 0] = -0.676269f;	val_dir[5303*3 + 1] = -0.225423f;	val_dir[5303*3 + 2] = 0.701316f;
 	val_dir[5304*3 + 0] = -0.642024f;	val_dir[5304*3 + 1] = -0.197546f;	val_dir[5304*3 + 2] = 0.740797f;
 	val_dir[5305*3 + 0] = -0.606696f;	val_dir[5305*3 + 1] = -0.169875f;	val_dir[5305*3 + 2] = 0.776571f;
 	val_dir[5306*3 + 0] = -0.570782f;	val_dir[5306*3 + 1] = -0.142695f;	val_dir[5306*3 + 2] = 0.808608f;
 	val_dir[5307*3 + 0] = -0.534739f;	val_dir[5307*3 + 1] = -0.116248f;	val_dir[5307*3 + 2] = 0.836983f;
 	val_dir[5308*3 + 0] = -0.498970f;	val_dir[5308*3 + 1] = -0.090722f;	val_dir[5308*3 + 2] = 0.861857f;
 	val_dir[5309*3 + 0] = -0.463812f;	val_dir[5309*3 + 1] = -0.066259f;	val_dir[5309*3 + 2] = 0.883452f;
 	val_dir[5310*3 + 0] = -0.429537f;	val_dir[5310*3 + 1] = -0.042954f;	val_dir[5310*3 + 2] = 0.902027f;
 	val_dir[5311*3 + 0] = -0.396350f;	val_dir[5311*3 + 1] = -0.020861f;	val_dir[5311*3 + 2] = 0.917863f;
 	val_dir[5312*3 + 0] = -0.364399f;	val_dir[5312*3 + 1] = 0.0f;	val_dir[5312*3 + 2] = 0.931243f;
 	val_dir[5313*3 + 0] = -0.346578f;	val_dir[5313*3 + 1] = 0.020387f;	val_dir[5313*3 + 2] = 0.93780f;
 	val_dir[5314*3 + 0] = -0.328244f;	val_dir[5314*3 + 1] = 0.041030f;	val_dir[5314*3 + 2] = 0.943701f;
 	val_dir[5315*3 + 0] = -0.309426f;	val_dir[5315*3 + 1] = 0.061885f;	val_dir[5315*3 + 2] = 0.948908f;
 	val_dir[5316*3 + 0] = -0.290159f;	val_dir[5316*3 + 1] = 0.082903f;	val_dir[5316*3 + 2] = 0.953381f;
 	val_dir[5317*3 + 0] = -0.270481f;	val_dir[5317*3 + 1] = 0.104031f;	val_dir[5317*3 + 2] = 0.957088f;
 	val_dir[5318*3 + 0] = -0.250435f;	val_dir[5318*3 + 1] = 0.125218f;	val_dir[5318*3 + 2] = 0.960001f;
 	val_dir[5319*3 + 0] = -0.230067f;	val_dir[5319*3 + 1] = 0.146406f;	val_dir[5319*3 + 2] = 0.962099f;
 	val_dir[5320*3 + 0] = -0.209427f;	val_dir[5320*3 + 1] = 0.167542f;	val_dir[5320*3 + 2] = 0.963364f;
 	val_dir[5321*3 + 0] = -0.188567f;	val_dir[5321*3 + 1] = 0.188567f;	val_dir[5321*3 + 2] = 0.963787f;
 	val_dir[5322*3 + 0] = -0.167542f;	val_dir[5322*3 + 1] = 0.209427f;	val_dir[5322*3 + 2] = 0.963364f;
 	val_dir[5323*3 + 0] = -0.146406f;	val_dir[5323*3 + 1] = 0.230067f;	val_dir[5323*3 + 2] = 0.962099f;
 	val_dir[5324*3 + 0] = -0.125218f;	val_dir[5324*3 + 1] = 0.250435f;	val_dir[5324*3 + 2] = 0.960001f;
 	val_dir[5325*3 + 0] = -0.104031f;	val_dir[5325*3 + 1] = 0.270481f;	val_dir[5325*3 + 2] = 0.957088f;
 	val_dir[5326*3 + 0] = -0.082903f;	val_dir[5326*3 + 1] = 0.290159f;	val_dir[5326*3 + 2] = 0.953381f;
 	val_dir[5327*3 + 0] = -0.061885f;	val_dir[5327*3 + 1] = 0.309426f;	val_dir[5327*3 + 2] = 0.948908f;
 	val_dir[5328*3 + 0] = -0.041030f;	val_dir[5328*3 + 1] = 0.328244f;	val_dir[5328*3 + 2] = 0.943701f;
 	val_dir[5329*3 + 0] = -0.020387f;	val_dir[5329*3 + 1] = 0.346578f;	val_dir[5329*3 + 2] = 0.93780f;
 	val_dir[5330*3 + 0] = 0.0f;	val_dir[5330*3 + 1] = 0.364399f;	val_dir[5330*3 + 2] = 0.931243f;
 	val_dir[5331*3 + 0] = 0.020861f;	val_dir[5331*3 + 1] = 0.396350f;	val_dir[5331*3 + 2] = 0.917863f;
 	val_dir[5332*3 + 0] = 0.042954f;	val_dir[5332*3 + 1] = 0.429537f;	val_dir[5332*3 + 2] = 0.902027f;
 	val_dir[5333*3 + 0] = 0.066259f;	val_dir[5333*3 + 1] = 0.463812f;	val_dir[5333*3 + 2] = 0.883452f;
 	val_dir[5334*3 + 0] = 0.090722f;	val_dir[5334*3 + 1] = 0.498970f;	val_dir[5334*3 + 2] = 0.861857f;
 	val_dir[5335*3 + 0] = 0.116248f;	val_dir[5335*3 + 1] = 0.534739f;	val_dir[5335*3 + 2] = 0.836983f;
 	val_dir[5336*3 + 0] = 0.142695f;	val_dir[5336*3 + 1] = 0.570782f;	val_dir[5336*3 + 2] = 0.808608f;
 	val_dir[5337*3 + 0] = 0.169875f;	val_dir[5337*3 + 1] = 0.606696f;	val_dir[5337*3 + 2] = 0.776571f;
 	val_dir[5338*3 + 0] = 0.197546f;	val_dir[5338*3 + 1] = 0.642024f;	val_dir[5338*3 + 2] = 0.740797f;
 	val_dir[5339*3 + 0] = 0.225423f;	val_dir[5339*3 + 1] = 0.676269f;	val_dir[5339*3 + 2] = 0.701316f;
 	val_dir[5340*3 + 0] = 0.253185f;	val_dir[5340*3 + 1] = 0.708918f;	val_dir[5340*3 + 2] = 0.658281f;
 	val_dir[5341*3 + 0] = 0.280488f;	val_dir[5341*3 + 1] = 0.739469f;	val_dir[5341*3 + 2] = 0.611974f;
 	val_dir[5342*3 + 0] = 0.306987f;	val_dir[5342*3 + 1] = 0.767467f;	val_dir[5342*3 + 2] = 0.562809f;
 	val_dir[5343*3 + 0] = 0.332352f;	val_dir[5343*3 + 1] = 0.792530f;	val_dir[5343*3 + 2] = 0.511310f;
 	val_dir[5344*3 + 0] = 0.356291f;	val_dir[5344*3 + 1] = 0.814379f;	val_dir[5344*3 + 2] = 0.458088f;
 	val_dir[5345*3 + 0] = 0.378566f;	val_dir[5345*3 + 1] = 0.832845f;	val_dir[5345*3 + 2] = 0.403804f;
 	val_dir[5346*3 + 0] = 0.399004f;	val_dir[5346*3 + 1] = 0.847883f;	val_dir[5346*3 + 2] = 0.349128f;
 	val_dir[5347*3 + 0] = 0.41750f;	val_dir[5347*3 + 1] = 0.859559f;	val_dir[5347*3 + 2] = 0.294706f;
 	val_dir[5348*3 + 0] = 0.434019f;	val_dir[5348*3 + 1] = 0.868037f;	val_dir[5348*3 + 2] = 0.241121f;
 	val_dir[5349*3 + 0] = 0.448583f;	val_dir[5349*3 + 1] = 0.873555f;	val_dir[5349*3 + 2] = 0.188877f;
 	val_dir[5350*3 + 0] = 0.461266f;	val_dir[5350*3 + 1] = 0.876405f;	val_dir[5350*3 + 2] = 0.138380f;
 	val_dir[5351*3 + 0] = 0.472178f;	val_dir[5351*3 + 1] = 0.876903f;	val_dir[5351*3 + 2] = 0.089939f;
 	val_dir[5352*3 + 0] = 0.481457f;	val_dir[5352*3 + 1] = 0.875376f;	val_dir[5352*3 + 2] = 0.043769f;
 	val_dir[5353*3 + 0] = 0.489251f;	val_dir[5353*3 + 1] = 0.872143f;	val_dir[5353*3 + 2] = 0.0f;
 	val_dir[5354*3 + 0] = -0.880957f;	val_dir[5354*3 + 1] = -0.472709f;	val_dir[5354*3 + 2] = 0.021487f;
 	val_dir[5355*3 + 0] = -0.883452f;	val_dir[5355*3 + 1] = -0.463812f;	val_dir[5355*3 + 2] = 0.066259f;
 	val_dir[5356*3 + 0] = -0.884083f;	val_dir[5356*3 + 1] = -0.453376f;	val_dir[5356*3 + 2] = 0.113344f;
 	val_dir[5357*3 + 0] = -0.882528f;	val_dir[5357*3 + 1] = -0.441264f;	val_dir[5357*3 + 2] = 0.162571f;
 	val_dir[5358*3 + 0] = -0.878466f;	val_dir[5358*3 + 1] = -0.427362f;	val_dir[5358*3 + 2] = 0.213681f;
 	val_dir[5359*3 + 0] = -0.871592f;	val_dir[5359*3 + 1] = -0.411585f;	val_dir[5359*3 + 2] = 0.266320f;
 	val_dir[5360*3 + 0] = -0.861640f;	val_dir[5360*3 + 1] = -0.393893f;	val_dir[5360*3 + 2] = 0.320038f;
 	val_dir[5361*3 + 0] = -0.848411f;	val_dir[5361*3 + 1] = -0.374299f;	val_dir[5361*3 + 2] = 0.374299f;
 	val_dir[5362*3 + 0] = -0.831786f;	val_dir[5362*3 + 1] = -0.352879f;	val_dir[5362*3 + 2] = 0.428496f;
 	val_dir[5363*3 + 0] = -0.811754f;	val_dir[5363*3 + 1] = -0.329775f;	val_dir[5363*3 + 2] = 0.481979f;
 	val_dir[5364*3 + 0] = -0.788419f;	val_dir[5364*3 + 1] = -0.305194f;	val_dir[5364*3 + 2] = 0.534090f;
 	val_dir[5365*3 + 0] = -0.762001f;	val_dir[5365*3 + 1] = -0.27940f;	val_dir[5365*3 + 2] = 0.584201f;
 	val_dir[5366*3 + 0] = -0.732828f;	val_dir[5366*3 + 1] = -0.252699f;	val_dir[5366*3 + 2] = 0.631748f;
 	val_dir[5367*3 + 0] = -0.701316f;	val_dir[5367*3 + 1] = -0.225423f;	val_dir[5367*3 + 2] = 0.676269f;
 	val_dir[5368*3 + 0] = -0.667940f;	val_dir[5368*3 + 1] = -0.197908f;	val_dir[5368*3 + 2] = 0.717418f;
 	val_dir[5369*3 + 0] = -0.633205f;	val_dir[5369*3 + 1] = -0.170478f;	val_dir[5369*3 + 2] = 0.754976f;
 	val_dir[5370*3 + 0] = -0.597614f;	val_dir[5370*3 + 1] = -0.143427f;	val_dir[5370*3 + 2] = 0.788851f;
 	val_dir[5371*3 + 0] = -0.561644f;	val_dir[5371*3 + 1] = -0.117009f;	val_dir[5371*3 + 2] = 0.819064f;
 	val_dir[5372*3 + 0] = -0.525723f;	val_dir[5372*3 + 1] = -0.091430f;	val_dir[5372*3 + 2] = 0.845728f;
 	val_dir[5373*3 + 0] = -0.490222f;	val_dir[5373*3 + 1] = -0.066848f;	val_dir[5373*3 + 2] = 0.869030f;
 	val_dir[5374*3 + 0] = -0.455447f;	val_dir[5374*3 + 1] = -0.043376f;	val_dir[5374*3 + 2] = 0.889206f;
 	val_dir[5375*3 + 0] = -0.421637f;	val_dir[5375*3 + 1] = -0.021082f;	val_dir[5375*3 + 2] = 0.906520f;
 	val_dir[5376*3 + 0] = -0.388972f;	val_dir[5376*3 + 1] = 0.0f;	val_dir[5376*3 + 2] = 0.921250f;
 	val_dir[5377*3 + 0] = -0.371312f;	val_dir[5377*3 + 1] = 0.020628f;	val_dir[5377*3 + 2] = 0.928279f;
 	val_dir[5378*3 + 0] = -0.353096f;	val_dir[5378*3 + 1] = 0.041541f;	val_dir[5378*3 + 2] = 0.934665f;
 	val_dir[5379*3 + 0] = -0.334351f;	val_dir[5379*3 + 1] = 0.062691f;	val_dir[5379*3 + 2] = 0.940361f;
 	val_dir[5380*3 + 0] = -0.315109f;	val_dir[5380*3 + 1] = 0.084029f;	val_dir[5380*3 + 2] = 0.945328f;
 	val_dir[5381*3 + 0] = -0.295409f;	val_dir[5381*3 + 1] = 0.105503f;	val_dir[5381*3 + 2] = 0.949528f;
 	val_dir[5382*3 + 0] = -0.275290f;	val_dir[5382*3 + 1] = 0.127057f;	val_dir[5382*3 + 2] = 0.952928f;
 	val_dir[5383*3 + 0] = -0.254801f;	val_dir[5383*3 + 1] = 0.148634f;	val_dir[5383*3 + 2] = 0.955502f;
 	val_dir[5384*3 + 0] = -0.233990f;	val_dir[5384*3 + 1] = 0.170174f;	val_dir[5384*3 + 2] = 0.957230f;
 	val_dir[5385*3 + 0] = -0.212911f;	val_dir[5385*3 + 1] = 0.191620f;	val_dir[5385*3 + 2] = 0.958098f;
 	val_dir[5386*3 + 0] = -0.191620f;	val_dir[5386*3 + 1] = 0.212911f;	val_dir[5386*3 + 2] = 0.958098f;
 	val_dir[5387*3 + 0] = -0.170174f;	val_dir[5387*3 + 1] = 0.233990f;	val_dir[5387*3 + 2] = 0.957230f;
 	val_dir[5388*3 + 0] = -0.148634f;	val_dir[5388*3 + 1] = 0.254801f;	val_dir[5388*3 + 2] = 0.955502f;
 	val_dir[5389*3 + 0] = -0.127057f;	val_dir[5389*3 + 1] = 0.275290f;	val_dir[5389*3 + 2] = 0.952928f;
 	val_dir[5390*3 + 0] = -0.105503f;	val_dir[5390*3 + 1] = 0.295409f;	val_dir[5390*3 + 2] = 0.949528f;
 	val_dir[5391*3 + 0] = -0.084029f;	val_dir[5391*3 + 1] = 0.315109f;	val_dir[5391*3 + 2] = 0.945328f;
 	val_dir[5392*3 + 0] = -0.062691f;	val_dir[5392*3 + 1] = 0.334351f;	val_dir[5392*3 + 2] = 0.940361f;
 	val_dir[5393*3 + 0] = -0.041541f;	val_dir[5393*3 + 1] = 0.353096f;	val_dir[5393*3 + 2] = 0.934665f;
 	val_dir[5394*3 + 0] = -0.020628f;	val_dir[5394*3 + 1] = 0.371312f;	val_dir[5394*3 + 2] = 0.928279f;
 	val_dir[5395*3 + 0] = 0.0f;	val_dir[5395*3 + 1] = 0.388972f;	val_dir[5395*3 + 2] = 0.921250f;
 	val_dir[5396*3 + 0] = 0.021082f;	val_dir[5396*3 + 1] = 0.421637f;	val_dir[5396*3 + 2] = 0.906520f;
 	val_dir[5397*3 + 0] = 0.043376f;	val_dir[5397*3 + 1] = 0.455447f;	val_dir[5397*3 + 2] = 0.889206f;
 	val_dir[5398*3 + 0] = 0.066848f;	val_dir[5398*3 + 1] = 0.490222f;	val_dir[5398*3 + 2] = 0.869030f;
 	val_dir[5399*3 + 0] = 0.091430f;	val_dir[5399*3 + 1] = 0.525723f;	val_dir[5399*3 + 2] = 0.845728f;
 	val_dir[5400*3 + 0] = 0.117009f;	val_dir[5400*3 + 1] = 0.561644f;	val_dir[5400*3 + 2] = 0.819064f;
 	val_dir[5401*3 + 0] = 0.143427f;	val_dir[5401*3 + 1] = 0.597614f;	val_dir[5401*3 + 2] = 0.788851f;
 	val_dir[5402*3 + 0] = 0.170478f;	val_dir[5402*3 + 1] = 0.633205f;	val_dir[5402*3 + 2] = 0.754976f;
 	val_dir[5403*3 + 0] = 0.197908f;	val_dir[5403*3 + 1] = 0.667940f;	val_dir[5403*3 + 2] = 0.717418f;
 	val_dir[5404*3 + 0] = 0.225423f;	val_dir[5404*3 + 1] = 0.701316f;	val_dir[5404*3 + 2] = 0.676269f;
 	val_dir[5405*3 + 0] = 0.252699f;	val_dir[5405*3 + 1] = 0.732828f;	val_dir[5405*3 + 2] = 0.631748f;
 	val_dir[5406*3 + 0] = 0.27940f;	val_dir[5406*3 + 1] = 0.762001f;	val_dir[5406*3 + 2] = 0.584201f;
 	val_dir[5407*3 + 0] = 0.305194f;	val_dir[5407*3 + 1] = 0.788419f;	val_dir[5407*3 + 2] = 0.534090f;
 	val_dir[5408*3 + 0] = 0.329775f;	val_dir[5408*3 + 1] = 0.811754f;	val_dir[5408*3 + 2] = 0.481979f;
 	val_dir[5409*3 + 0] = 0.352879f;	val_dir[5409*3 + 1] = 0.831786f;	val_dir[5409*3 + 2] = 0.428496f;
 	val_dir[5410*3 + 0] = 0.374299f;	val_dir[5410*3 + 1] = 0.848411f;	val_dir[5410*3 + 2] = 0.374299f;
 	val_dir[5411*3 + 0] = 0.393893f;	val_dir[5411*3 + 1] = 0.861640f;	val_dir[5411*3 + 2] = 0.320038f;
 	val_dir[5412*3 + 0] = 0.411585f;	val_dir[5412*3 + 1] = 0.871592f;	val_dir[5412*3 + 2] = 0.266320f;
 	val_dir[5413*3 + 0] = 0.427362f;	val_dir[5413*3 + 1] = 0.878466f;	val_dir[5413*3 + 2] = 0.213681f;
 	val_dir[5414*3 + 0] = 0.441264f;	val_dir[5414*3 + 1] = 0.882528f;	val_dir[5414*3 + 2] = 0.162571f;
 	val_dir[5415*3 + 0] = 0.453376f;	val_dir[5415*3 + 1] = 0.884083f;	val_dir[5415*3 + 2] = 0.113344f;
 	val_dir[5416*3 + 0] = 0.463812f;	val_dir[5416*3 + 1] = 0.883452f;	val_dir[5416*3 + 2] = 0.066259f;
 	val_dir[5417*3 + 0] = 0.472709f;	val_dir[5417*3 + 1] = 0.880957f;	val_dir[5417*3 + 2] = 0.021487f;
 	val_dir[5418*3 + 0] = -0.885832f;	val_dir[5418*3 + 1] = -0.464007f;	val_dir[5418*3 + 2] = 0.0f;
 	val_dir[5419*3 + 0] = -0.889206f;	val_dir[5419*3 + 1] = -0.455447f;	val_dir[5419*3 + 2] = 0.043376f;
 	val_dir[5420*3 + 0] = -0.890871f;	val_dir[5420*3 + 1] = -0.445435f;	val_dir[5420*3 + 2] = 0.089087f;
 	val_dir[5421*3 + 0] = -0.890513f;	val_dir[5421*3 + 1] = -0.433840f;	val_dir[5421*3 + 2] = 0.137002f;
 	val_dir[5422*3 + 0] = -0.887812f;	val_dir[5422*3 + 1] = -0.420542f;	val_dir[5422*3 + 2] = 0.186908f;
 	val_dir[5423*3 + 0] = -0.882454f;	val_dir[5423*3 + 1] = -0.405452f;	val_dir[5423*3 + 2] = 0.238501f;
 	val_dir[5424*3 + 0] = -0.874157f;	val_dir[5424*3 + 1] = -0.388514f;	val_dir[5424*3 + 2] = 0.291386f;
 	val_dir[5425*3 + 0] = -0.862687f;	val_dir[5425*3 + 1] = -0.369723f;	val_dir[5425*3 + 2] = 0.345075f;
 	val_dir[5426*3 + 0] = -0.847883f;	val_dir[5426*3 + 1] = -0.349128f;	val_dir[5426*3 + 2] = 0.399004f;
 	val_dir[5427*3 + 0] = -0.829680f;	val_dir[5427*3 + 1] = -0.326844f;	val_dir[5427*3 + 2] = 0.452553f;
 	val_dir[5428*3 + 0] = -0.808122f;	val_dir[5428*3 + 1] = -0.303046f;	val_dir[5428*3 + 2] = 0.505076f;
 	val_dir[5429*3 + 0] = -0.783368f;	val_dir[5429*3 + 1] = -0.277969f;	val_dir[5429*3 + 2] = 0.555939f;
 	val_dir[5430*3 + 0] = -0.755689f;	val_dir[5430*3 + 1] = -0.251896f;	val_dir[5430*3 + 2] = 0.604551f;
 	val_dir[5431*3 + 0] = -0.725454f;	val_dir[5431*3 + 1] = -0.225141f;	val_dir[5431*3 + 2] = 0.650407f;
 	val_dir[5432*3 + 0] = -0.693103f;	val_dir[5432*3 + 1] = -0.198030f;	val_dir[5432*3 + 2] = 0.693103f;
 	val_dir[5433*3 + 0] = -0.659125f;	val_dir[5433*3 + 1] = -0.170884f;	val_dir[5433*3 + 2] = 0.732361f;
 	val_dir[5434*3 + 0] = -0.624020f;	val_dir[5434*3 + 1] = -0.144005f;	val_dir[5434*3 + 2] = 0.768025f;
 	val_dir[5435*3 + 0] = -0.588276f;	val_dir[5435*3 + 1] = -0.117655f;	val_dir[5435*3 + 2] = 0.800055f;
 	val_dir[5436*3 + 0] = -0.552345f;	val_dir[5436*3 + 1] = -0.092057f;	val_dir[5436*3 + 2] = 0.828517f;
 	val_dir[5437*3 + 0] = -0.516626f;	val_dir[5437*3 + 1] = -0.067386f;	val_dir[5437*3 + 2] = 0.853556f;
 	val_dir[5438*3 + 0] = -0.481457f;	val_dir[5438*3 + 1] = -0.043769f;	val_dir[5438*3 + 2] = 0.875376f;
 	val_dir[5439*3 + 0] = -0.447112f;	val_dir[5439*3 + 1] = -0.021291f;	val_dir[5439*3 + 2] = 0.894224f;
 	val_dir[5440*3 + 0] = -0.413803f;	val_dir[5440*3 + 1] = 0.0f;	val_dir[5440*3 + 2] = 0.910366f;
 	val_dir[5441*3 + 0] = -0.396350f;	val_dir[5441*3 + 1] = 0.020861f;	val_dir[5441*3 + 2] = 0.917863f;
 	val_dir[5442*3 + 0] = -0.378298f;	val_dir[5442*3 + 1] = 0.042033f;	val_dir[5442*3 + 2] = 0.924729f;
 	val_dir[5443*3 + 0] = -0.359673f;	val_dir[5443*3 + 1] = 0.063472f;	val_dir[5443*3 + 2] = 0.930917f;
 	val_dir[5444*3 + 0] = -0.340503f;	val_dir[5444*3 + 1] = 0.085126f;	val_dir[5444*3 + 2] = 0.936382f;
 	val_dir[5445*3 + 0] = -0.320824f;	val_dir[5445*3 + 1] = 0.106941f;	val_dir[5445*3 + 2] = 0.941082f;
 	val_dir[5446*3 + 0] = -0.300676f;	val_dir[5446*3 + 1] = 0.128861f;	val_dir[5446*3 + 2] = 0.944981f;
 	val_dir[5447*3 + 0] = -0.280105f;	val_dir[5447*3 + 1] = 0.150826f;	val_dir[5447*3 + 2] = 0.948047f;
 	val_dir[5448*3 + 0] = -0.259161f;	val_dir[5448*3 + 1] = 0.172774f;	val_dir[5448*3 + 2] = 0.950255f;
 	val_dir[5449*3 + 0] = -0.237897f;	val_dir[5449*3 + 1] = 0.194643f;	val_dir[5449*3 + 2] = 0.951588f;
 	val_dir[5450*3 + 0] = -0.216371f;	val_dir[5450*3 + 1] = 0.216371f;	val_dir[5450*3 + 2] = 0.952033f;
 	val_dir[5451*3 + 0] = -0.194643f;	val_dir[5451*3 + 1] = 0.237897f;	val_dir[5451*3 + 2] = 0.951588f;
 	val_dir[5452*3 + 0] = -0.172774f;	val_dir[5452*3 + 1] = 0.259161f;	val_dir[5452*3 + 2] = 0.950255f;
 	val_dir[5453*3 + 0] = -0.150826f;	val_dir[5453*3 + 1] = 0.280105f;	val_dir[5453*3 + 2] = 0.948047f;
 	val_dir[5454*3 + 0] = -0.128861f;	val_dir[5454*3 + 1] = 0.300676f;	val_dir[5454*3 + 2] = 0.944981f;
 	val_dir[5455*3 + 0] = -0.106941f;	val_dir[5455*3 + 1] = 0.320824f;	val_dir[5455*3 + 2] = 0.941082f;
 	val_dir[5456*3 + 0] = -0.085126f;	val_dir[5456*3 + 1] = 0.340503f;	val_dir[5456*3 + 2] = 0.936382f;
 	val_dir[5457*3 + 0] = -0.063472f;	val_dir[5457*3 + 1] = 0.359673f;	val_dir[5457*3 + 2] = 0.930917f;
 	val_dir[5458*3 + 0] = -0.042033f;	val_dir[5458*3 + 1] = 0.378298f;	val_dir[5458*3 + 2] = 0.924729f;
 	val_dir[5459*3 + 0] = -0.020861f;	val_dir[5459*3 + 1] = 0.396350f;	val_dir[5459*3 + 2] = 0.917863f;
 	val_dir[5460*3 + 0] = 0.0f;	val_dir[5460*3 + 1] = 0.413803f;	val_dir[5460*3 + 2] = 0.910366f;
 	val_dir[5461*3 + 0] = 0.021291f;	val_dir[5461*3 + 1] = 0.447112f;	val_dir[5461*3 + 2] = 0.894224f;
 	val_dir[5462*3 + 0] = 0.043769f;	val_dir[5462*3 + 1] = 0.481457f;	val_dir[5462*3 + 2] = 0.875376f;
 	val_dir[5463*3 + 0] = 0.067386f;	val_dir[5463*3 + 1] = 0.516626f;	val_dir[5463*3 + 2] = 0.853556f;
 	val_dir[5464*3 + 0] = 0.092057f;	val_dir[5464*3 + 1] = 0.552345f;	val_dir[5464*3 + 2] = 0.828517f;
 	val_dir[5465*3 + 0] = 0.117655f;	val_dir[5465*3 + 1] = 0.588276f;	val_dir[5465*3 + 2] = 0.800055f;
 	val_dir[5466*3 + 0] = 0.144005f;	val_dir[5466*3 + 1] = 0.624020f;	val_dir[5466*3 + 2] = 0.768025f;
 	val_dir[5467*3 + 0] = 0.170884f;	val_dir[5467*3 + 1] = 0.659125f;	val_dir[5467*3 + 2] = 0.732361f;
 	val_dir[5468*3 + 0] = 0.198030f;	val_dir[5468*3 + 1] = 0.693103f;	val_dir[5468*3 + 2] = 0.693103f;
 	val_dir[5469*3 + 0] = 0.225141f;	val_dir[5469*3 + 1] = 0.725454f;	val_dir[5469*3 + 2] = 0.650407f;
 	val_dir[5470*3 + 0] = 0.251896f;	val_dir[5470*3 + 1] = 0.755689f;	val_dir[5470*3 + 2] = 0.604551f;
 	val_dir[5471*3 + 0] = 0.277969f;	val_dir[5471*3 + 1] = 0.783368f;	val_dir[5471*3 + 2] = 0.555939f;
 	val_dir[5472*3 + 0] = 0.303046f;	val_dir[5472*3 + 1] = 0.808122f;	val_dir[5472*3 + 2] = 0.505076f;
 	val_dir[5473*3 + 0] = 0.326844f;	val_dir[5473*3 + 1] = 0.829680f;	val_dir[5473*3 + 2] = 0.452553f;
 	val_dir[5474*3 + 0] = 0.349128f;	val_dir[5474*3 + 1] = 0.847883f;	val_dir[5474*3 + 2] = 0.399004f;
 	val_dir[5475*3 + 0] = 0.369723f;	val_dir[5475*3 + 1] = 0.862687f;	val_dir[5475*3 + 2] = 0.345075f;
 	val_dir[5476*3 + 0] = 0.388514f;	val_dir[5476*3 + 1] = 0.874157f;	val_dir[5476*3 + 2] = 0.291386f;
 	val_dir[5477*3 + 0] = 0.405452f;	val_dir[5477*3 + 1] = 0.882454f;	val_dir[5477*3 + 2] = 0.238501f;
 	val_dir[5478*3 + 0] = 0.420542f;	val_dir[5478*3 + 1] = 0.887812f;	val_dir[5478*3 + 2] = 0.186908f;
 	val_dir[5479*3 + 0] = 0.433840f;	val_dir[5479*3 + 1] = 0.890513f;	val_dir[5479*3 + 2] = 0.137002f;
 	val_dir[5480*3 + 0] = 0.445435f;	val_dir[5480*3 + 1] = 0.890871f;	val_dir[5480*3 + 2] = 0.089087f;
 	val_dir[5481*3 + 0] = 0.455447f;	val_dir[5481*3 + 1] = 0.889206f;	val_dir[5481*3 + 2] = 0.043376f;
 	val_dir[5482*3 + 0] = 0.464007f;	val_dir[5482*3 + 1] = 0.885832f;	val_dir[5482*3 + 2] = 0.0f;
 	val_dir[5483*3 + 0] = -0.894224f;	val_dir[5483*3 + 1] = -0.447112f;	val_dir[5483*3 + 2] = 0.021291f;
 	val_dir[5484*3 + 0] = -0.896831f;	val_dir[5484*3 + 1] = -0.437479f;	val_dir[5484*3 + 2] = 0.065622f;
 	val_dir[5485*3 + 0] = -0.897574f;	val_dir[5485*3 + 1] = -0.426348f;	val_dir[5485*3 + 2] = 0.112197f;
 	val_dir[5486*3 + 0] = -0.896137f;	val_dir[5486*3 + 1] = -0.413602f;	val_dir[5486*3 + 2] = 0.160845f;
 	val_dir[5487*3 + 0] = -0.892206f;	val_dir[5487*3 + 1] = -0.399145f;	val_dir[5487*3 + 2] = 0.211312f;
 	val_dir[5488*3 + 0] = -0.885482f;	val_dir[5488*3 + 1] = -0.382911f;	val_dir[5488*3 + 2] = 0.263251f;
 	val_dir[5489*3 + 0] = -0.875708f;	val_dir[5489*3 + 1] = -0.364878f;	val_dir[5489*3 + 2] = 0.316228f;
 	val_dir[5490*3 + 0] = -0.862687f;	val_dir[5490*3 + 1] = -0.345075f;	val_dir[5490*3 + 2] = 0.369723f;
 	val_dir[5491*3 + 0] = -0.846305f;	val_dir[5491*3 + 1] = -0.323587f;	val_dir[5491*3 + 2] = 0.423153f;
 	val_dir[5492*3 + 0] = -0.826551f;	val_dir[5492*3 + 1] = -0.300564f;	val_dir[5492*3 + 2] = 0.475893f;
 	val_dir[5493*3 + 0] = -0.803523f;	val_dir[5493*3 + 1] = -0.276211f;	val_dir[5493*3 + 2] = 0.527312f;
 	val_dir[5494*3 + 0] = -0.777433f;	val_dir[5494*3 + 1] = -0.250785f;	val_dir[5494*3 + 2] = 0.576805f;
 	val_dir[5495*3 + 0] = -0.748598f;	val_dir[5495*3 + 1] = -0.224579f;	val_dir[5495*3 + 2] = 0.623831f;
 	val_dir[5496*3 + 0] = -0.717418f;	val_dir[5496*3 + 1] = -0.197908f;	val_dir[5496*3 + 2] = 0.667940f;
 	val_dir[5497*3 + 0] = -0.684353f;	val_dir[5497*3 + 1] = -0.171088f;	val_dir[5497*3 + 2] = 0.708794f;
 	val_dir[5498*3 + 0] = -0.649895f;	val_dir[5498*3 + 1] = -0.144421f;	val_dir[5498*3 + 2] = 0.746176f;
 	val_dir[5499*3 + 0] = -0.614535f;	val_dir[5499*3 + 1] = -0.118180f;	val_dir[5499*3 + 2] = 0.779987f;
 	val_dir[5500*3 + 0] = -0.578741f;	val_dir[5500*3 + 1] = -0.092599f;	val_dir[5500*3 + 2] = 0.810237f;
 	val_dir[5501*3 + 0] = -0.542936f;	val_dir[5501*3 + 1] = -0.067867f;	val_dir[5501*3 + 2] = 0.837027f;
 	val_dir[5502*3 + 0] = -0.507490f;	val_dir[5502*3 + 1] = -0.044130f;	val_dir[5502*3 + 2] = 0.860527f;
 	val_dir[5503*3 + 0] = -0.472709f;	val_dir[5503*3 + 1] = -0.021487f;	val_dir[5503*3 + 2] = 0.880957f;
 	val_dir[5504*3 + 0] = -0.438835f;	val_dir[5504*3 + 1] = 0.0f;	val_dir[5504*3 + 2] = 0.898567f;
 	val_dir[5505*3 + 0] = -0.421637f;	val_dir[5505*3 + 1] = 0.021082f;	val_dir[5505*3 + 2] = 0.906520f;
 	val_dir[5506*3 + 0] = -0.403799f;	val_dir[5506*3 + 1] = 0.042505f;	val_dir[5506*3 + 2] = 0.913860f;
 	val_dir[5507*3 + 0] = -0.385341f;	val_dir[5507*3 + 1] = 0.064223f;	val_dir[5507*3 + 2] = 0.920537f;
 	val_dir[5508*3 + 0] = -0.366291f;	val_dir[5508*3 + 1] = 0.086186f;	val_dir[5508*3 + 2] = 0.92650f;
 	val_dir[5509*3 + 0] = -0.346681f;	val_dir[5509*3 + 1] = 0.108338f;	val_dir[5509*3 + 2] = 0.931705f;
 	val_dir[5510*3 + 0] = -0.326550f;	val_dir[5510*3 + 1] = 0.130620f;	val_dir[5510*3 + 2] = 0.936111f;
 	val_dir[5511*3 + 0] = -0.305942f;	val_dir[5511*3 + 1] = 0.152971f;	val_dir[5511*3 + 2] = 0.939680f;
 	val_dir[5512*3 + 0] = -0.284907f;	val_dir[5512*3 + 1] = 0.175327f;	val_dir[5512*3 + 2] = 0.942384f;
 	val_dir[5513*3 + 0] = -0.263498f;	val_dir[5513*3 + 1] = 0.197623f;	val_dir[5513*3 + 2] = 0.94420f;
 	val_dir[5514*3 + 0] = -0.241773f;	val_dir[5514*3 + 1] = 0.219793f;	val_dir[5514*3 + 2] = 0.945112f;
 	val_dir[5515*3 + 0] = -0.219793f;	val_dir[5515*3 + 1] = 0.241773f;	val_dir[5515*3 + 2] = 0.945112f;
 	val_dir[5516*3 + 0] = -0.197623f;	val_dir[5516*3 + 1] = 0.263498f;	val_dir[5516*3 + 2] = 0.94420f;
 	val_dir[5517*3 + 0] = -0.175327f;	val_dir[5517*3 + 1] = 0.284907f;	val_dir[5517*3 + 2] = 0.942384f;
 	val_dir[5518*3 + 0] = -0.152971f;	val_dir[5518*3 + 1] = 0.305942f;	val_dir[5518*3 + 2] = 0.939680f;
 	val_dir[5519*3 + 0] = -0.130620f;	val_dir[5519*3 + 1] = 0.326550f;	val_dir[5519*3 + 2] = 0.936111f;
 	val_dir[5520*3 + 0] = -0.108338f;	val_dir[5520*3 + 1] = 0.346681f;	val_dir[5520*3 + 2] = 0.931705f;
 	val_dir[5521*3 + 0] = -0.086186f;	val_dir[5521*3 + 1] = 0.366291f;	val_dir[5521*3 + 2] = 0.92650f;
 	val_dir[5522*3 + 0] = -0.064223f;	val_dir[5522*3 + 1] = 0.385341f;	val_dir[5522*3 + 2] = 0.920537f;
 	val_dir[5523*3 + 0] = -0.042505f;	val_dir[5523*3 + 1] = 0.403799f;	val_dir[5523*3 + 2] = 0.913860f;
 	val_dir[5524*3 + 0] = -0.021082f;	val_dir[5524*3 + 1] = 0.421637f;	val_dir[5524*3 + 2] = 0.906520f;
 	val_dir[5525*3 + 0] = 0.0f;	val_dir[5525*3 + 1] = 0.438835f;	val_dir[5525*3 + 2] = 0.898567f;
 	val_dir[5526*3 + 0] = 0.021487f;	val_dir[5526*3 + 1] = 0.472709f;	val_dir[5526*3 + 2] = 0.880957f;
 	val_dir[5527*3 + 0] = 0.044130f;	val_dir[5527*3 + 1] = 0.507490f;	val_dir[5527*3 + 2] = 0.860527f;
 	val_dir[5528*3 + 0] = 0.067867f;	val_dir[5528*3 + 1] = 0.542936f;	val_dir[5528*3 + 2] = 0.837027f;
 	val_dir[5529*3 + 0] = 0.092599f;	val_dir[5529*3 + 1] = 0.578741f;	val_dir[5529*3 + 2] = 0.810237f;
 	val_dir[5530*3 + 0] = 0.118180f;	val_dir[5530*3 + 1] = 0.614535f;	val_dir[5530*3 + 2] = 0.779987f;
 	val_dir[5531*3 + 0] = 0.144421f;	val_dir[5531*3 + 1] = 0.649895f;	val_dir[5531*3 + 2] = 0.746176f;
 	val_dir[5532*3 + 0] = 0.171088f;	val_dir[5532*3 + 1] = 0.684353f;	val_dir[5532*3 + 2] = 0.708794f;
 	val_dir[5533*3 + 0] = 0.197908f;	val_dir[5533*3 + 1] = 0.717418f;	val_dir[5533*3 + 2] = 0.667940f;
 	val_dir[5534*3 + 0] = 0.224579f;	val_dir[5534*3 + 1] = 0.748598f;	val_dir[5534*3 + 2] = 0.623831f;
 	val_dir[5535*3 + 0] = 0.250785f;	val_dir[5535*3 + 1] = 0.777433f;	val_dir[5535*3 + 2] = 0.576805f;
 	val_dir[5536*3 + 0] = 0.276211f;	val_dir[5536*3 + 1] = 0.803523f;	val_dir[5536*3 + 2] = 0.527312f;
 	val_dir[5537*3 + 0] = 0.300564f;	val_dir[5537*3 + 1] = 0.826551f;	val_dir[5537*3 + 2] = 0.475893f;
 	val_dir[5538*3 + 0] = 0.323587f;	val_dir[5538*3 + 1] = 0.846305f;	val_dir[5538*3 + 2] = 0.423153f;
 	val_dir[5539*3 + 0] = 0.345075f;	val_dir[5539*3 + 1] = 0.862687f;	val_dir[5539*3 + 2] = 0.369723f;
 	val_dir[5540*3 + 0] = 0.364878f;	val_dir[5540*3 + 1] = 0.875708f;	val_dir[5540*3 + 2] = 0.316228f;
 	val_dir[5541*3 + 0] = 0.382911f;	val_dir[5541*3 + 1] = 0.885482f;	val_dir[5541*3 + 2] = 0.263251f;
 	val_dir[5542*3 + 0] = 0.399145f;	val_dir[5542*3 + 1] = 0.892206f;	val_dir[5542*3 + 2] = 0.211312f;
 	val_dir[5543*3 + 0] = 0.413602f;	val_dir[5543*3 + 1] = 0.896137f;	val_dir[5543*3 + 2] = 0.160845f;
 	val_dir[5544*3 + 0] = 0.426348f;	val_dir[5544*3 + 1] = 0.897574f;	val_dir[5544*3 + 2] = 0.112197f;
 	val_dir[5545*3 + 0] = 0.437479f;	val_dir[5545*3 + 1] = 0.896831f;	val_dir[5545*3 + 2] = 0.065622f;
 	val_dir[5546*3 + 0] = 0.447112f;	val_dir[5546*3 + 1] = 0.894224f;	val_dir[5546*3 + 2] = 0.021291f;
 	val_dir[5547*3 + 0] = -0.898567f;	val_dir[5547*3 + 1] = -0.438835f;	val_dir[5547*3 + 2] = 0.0f;
 	val_dir[5548*3 + 0] = -0.902027f;	val_dir[5548*3 + 1] = -0.429537f;	val_dir[5548*3 + 2] = 0.042954f;
 	val_dir[5549*3 + 0] = -0.903777f;	val_dir[5549*3 + 1] = -0.418823f;	val_dir[5549*3 + 2] = 0.088173f;
 	val_dir[5550*3 + 0] = -0.903508f;	val_dir[5550*3 + 1] = -0.406579f;	val_dir[5550*3 + 2] = 0.135526f;
 	val_dir[5551*3 + 0] = -0.900907f;	val_dir[5551*3 + 1] = -0.392703f;	val_dir[5551*3 + 2] = 0.184801f;
 	val_dir[5552*3 + 0] = -0.895669f;	val_dir[5552*3 + 1] = -0.377124f;	val_dir[5552*3 + 2] = 0.235702f;
 	val_dir[5553*3 + 0] = -0.887517f;	val_dir[5553*3 + 1] = -0.359804f;	val_dir[5553*3 + 2] = 0.287843f;
 	val_dir[5554*3 + 0] = -0.876226f;	val_dir[5554*3 + 1] = -0.340755f;	val_dir[5554*3 + 2] = 0.340755f;
 	val_dir[5555*3 + 0] = -0.861640f;	val_dir[5555*3 + 1] = -0.320038f;	val_dir[5555*3 + 2] = 0.393893f;
 	val_dir[5556*3 + 0] = -0.843696f;	val_dir[5556*3 + 1] = -0.297775f;	val_dir[5556*3 + 2] = 0.446662f;
 	val_dir[5557*3 + 0] = -0.822434f;	val_dir[5557*3 + 1] = -0.274145f;	val_dir[5557*3 + 2] = 0.498445f;
 	val_dir[5558*3 + 0] = -0.798007f;	val_dir[5558*3 + 1] = -0.249377f;	val_dir[5558*3 + 2] = 0.548630f;
 	val_dir[5559*3 + 0] = -0.770677f;	val_dir[5559*3 + 1] = -0.223745f;	val_dir[5559*3 + 2] = 0.596653f;
 	val_dir[5560*3 + 0] = -0.740797f;	val_dir[5560*3 + 1] = -0.197546f;	val_dir[5560*3 + 2] = 0.642024f;
 	val_dir[5561*3 + 0] = -0.708794f;	val_dir[5561*3 + 1] = -0.171088f;	val_dir[5561*3 + 2] = 0.684353f;
 	val_dir[5562*3 + 0] = -0.675140f;	val_dir[5562*3 + 1] = -0.144673f;	val_dir[5562*3 + 2] = 0.723364f;
 	val_dir[5563*3 + 0] = -0.640321f;	val_dir[5563*3 + 1] = -0.118578f;	val_dir[5563*3 + 2] = 0.758899f;
 	val_dir[5564*3 + 0] = -0.604815f;	val_dir[5564*3 + 1] = -0.093048f;	val_dir[5564*3 + 2] = 0.790912f;
 	val_dir[5565*3 + 0] = -0.569064f;	val_dir[5565*3 + 1] = -0.068288f;	val_dir[5565*3 + 2] = 0.819453f;
 	val_dir[5566*3 + 0] = -0.533465f;	val_dir[5566*3 + 1] = -0.044455f;	val_dir[5566*3 + 2] = 0.844653f;
 	val_dir[5567*3 + 0] = -0.498354f;	val_dir[5567*3 + 1] = -0.021668f;	val_dir[5567*3 + 2] = 0.866703f;
 	val_dir[5568*3 + 0] = -0.464007f;	val_dir[5568*3 + 1] = 0.0f;	val_dir[5568*3 + 2] = 0.885832f;
 	val_dir[5569*3 + 0] = -0.447112f;	val_dir[5569*3 + 1] = 0.021291f;	val_dir[5569*3 + 2] = 0.894224f;
 	val_dir[5570*3 + 0] = -0.429537f;	val_dir[5570*3 + 1] = 0.042954f;	val_dir[5570*3 + 2] = 0.902027f;
 	val_dir[5571*3 + 0] = -0.411298f;	val_dir[5571*3 + 1] = 0.064942f;	val_dir[5571*3 + 2] = 0.909185f;
 	val_dir[5572*3 + 0] = -0.392419f;	val_dir[5572*3 + 1] = 0.087204f;	val_dir[5572*3 + 2] = 0.915644f;
 	val_dir[5573*3 + 0] = -0.372929f;	val_dir[5573*3 + 1] = 0.109685f;	val_dir[5573*3 + 2] = 0.921354f;
 	val_dir[5574*3 + 0] = -0.352865f;	val_dir[5574*3 + 1] = 0.132324f;	val_dir[5574*3 + 2] = 0.926270f;
 	val_dir[5575*3 + 0] = -0.332269f;	val_dir[5575*3 + 1] = 0.155059f;	val_dir[5575*3 + 2] = 0.930352f;
 	val_dir[5576*3 + 0] = -0.311188f;	val_dir[5576*3 + 1] = 0.177822f;	val_dir[5576*3 + 2] = 0.933564f;
 	val_dir[5577*3 + 0] = -0.289677f;	val_dir[5577*3 + 1] = 0.200545f;	val_dir[5577*3 + 2] = 0.935879f;
 	val_dir[5578*3 + 0] = -0.267793f;	val_dir[5578*3 + 1] = 0.223161f;	val_dir[5578*3 + 2] = 0.937276f;
 	val_dir[5579*3 + 0] = -0.245599f;	val_dir[5579*3 + 1] = 0.245599f;	val_dir[5579*3 + 2] = 0.937743f;
 	val_dir[5580*3 + 0] = -0.223161f;	val_dir[5580*3 + 1] = 0.267793f;	val_dir[5580*3 + 2] = 0.937276f;
 	val_dir[5581*3 + 0] = -0.200545f;	val_dir[5581*3 + 1] = 0.289677f;	val_dir[5581*3 + 2] = 0.935879f;
 	val_dir[5582*3 + 0] = -0.177822f;	val_dir[5582*3 + 1] = 0.311188f;	val_dir[5582*3 + 2] = 0.933564f;
 	val_dir[5583*3 + 0] = -0.155059f;	val_dir[5583*3 + 1] = 0.332269f;	val_dir[5583*3 + 2] = 0.930352f;
 	val_dir[5584*3 + 0] = -0.132324f;	val_dir[5584*3 + 1] = 0.352865f;	val_dir[5584*3 + 2] = 0.926270f;
 	val_dir[5585*3 + 0] = -0.109685f;	val_dir[5585*3 + 1] = 0.372929f;	val_dir[5585*3 + 2] = 0.921354f;
 	val_dir[5586*3 + 0] = -0.087204f;	val_dir[5586*3 + 1] = 0.392419f;	val_dir[5586*3 + 2] = 0.915644f;
 	val_dir[5587*3 + 0] = -0.064942f;	val_dir[5587*3 + 1] = 0.411298f;	val_dir[5587*3 + 2] = 0.909185f;
 	val_dir[5588*3 + 0] = -0.042954f;	val_dir[5588*3 + 1] = 0.429537f;	val_dir[5588*3 + 2] = 0.902027f;
 	val_dir[5589*3 + 0] = -0.021291f;	val_dir[5589*3 + 1] = 0.447112f;	val_dir[5589*3 + 2] = 0.894224f;
 	val_dir[5590*3 + 0] = 0.0f;	val_dir[5590*3 + 1] = 0.464007f;	val_dir[5590*3 + 2] = 0.885832f;
 	val_dir[5591*3 + 0] = 0.021668f;	val_dir[5591*3 + 1] = 0.498354f;	val_dir[5591*3 + 2] = 0.866703f;
 	val_dir[5592*3 + 0] = 0.044455f;	val_dir[5592*3 + 1] = 0.533465f;	val_dir[5592*3 + 2] = 0.844653f;
 	val_dir[5593*3 + 0] = 0.068288f;	val_dir[5593*3 + 1] = 0.569064f;	val_dir[5593*3 + 2] = 0.819453f;
 	val_dir[5594*3 + 0] = 0.093048f;	val_dir[5594*3 + 1] = 0.604815f;	val_dir[5594*3 + 2] = 0.790912f;
 	val_dir[5595*3 + 0] = 0.118578f;	val_dir[5595*3 + 1] = 0.640321f;	val_dir[5595*3 + 2] = 0.758899f;
 	val_dir[5596*3 + 0] = 0.144673f;	val_dir[5596*3 + 1] = 0.675140f;	val_dir[5596*3 + 2] = 0.723364f;
 	val_dir[5597*3 + 0] = 0.171088f;	val_dir[5597*3 + 1] = 0.708794f;	val_dir[5597*3 + 2] = 0.684353f;
 	val_dir[5598*3 + 0] = 0.197546f;	val_dir[5598*3 + 1] = 0.740797f;	val_dir[5598*3 + 2] = 0.642024f;
 	val_dir[5599*3 + 0] = 0.223745f;	val_dir[5599*3 + 1] = 0.770677f;	val_dir[5599*3 + 2] = 0.596653f;
 	val_dir[5600*3 + 0] = 0.249377f;	val_dir[5600*3 + 1] = 0.798007f;	val_dir[5600*3 + 2] = 0.548630f;
 	val_dir[5601*3 + 0] = 0.274145f;	val_dir[5601*3 + 1] = 0.822434f;	val_dir[5601*3 + 2] = 0.498445f;
 	val_dir[5602*3 + 0] = 0.297775f;	val_dir[5602*3 + 1] = 0.843696f;	val_dir[5602*3 + 2] = 0.446662f;
 	val_dir[5603*3 + 0] = 0.320038f;	val_dir[5603*3 + 1] = 0.861640f;	val_dir[5603*3 + 2] = 0.393893f;
 	val_dir[5604*3 + 0] = 0.340755f;	val_dir[5604*3 + 1] = 0.876226f;	val_dir[5604*3 + 2] = 0.340755f;
 	val_dir[5605*3 + 0] = 0.359804f;	val_dir[5605*3 + 1] = 0.887517f;	val_dir[5605*3 + 2] = 0.287843f;
 	val_dir[5606*3 + 0] = 0.377124f;	val_dir[5606*3 + 1] = 0.895669f;	val_dir[5606*3 + 2] = 0.235702f;
 	val_dir[5607*3 + 0] = 0.392703f;	val_dir[5607*3 + 1] = 0.900907f;	val_dir[5607*3 + 2] = 0.184801f;
 	val_dir[5608*3 + 0] = 0.406579f;	val_dir[5608*3 + 1] = 0.903508f;	val_dir[5608*3 + 2] = 0.135526f;
 	val_dir[5609*3 + 0] = 0.418823f;	val_dir[5609*3 + 1] = 0.903777f;	val_dir[5609*3 + 2] = 0.088173f;
 	val_dir[5610*3 + 0] = 0.429537f;	val_dir[5610*3 + 1] = 0.902027f;	val_dir[5610*3 + 2] = 0.042954f;
 	val_dir[5611*3 + 0] = 0.438835f;	val_dir[5611*3 + 1] = 0.898567f;	val_dir[5611*3 + 2] = 0.0f;
 	val_dir[5612*3 + 0] = -0.906520f;	val_dir[5612*3 + 1] = -0.421637f;	val_dir[5612*3 + 2] = 0.021082f;
 	val_dir[5613*3 + 0] = -0.909185f;	val_dir[5613*3 + 1] = -0.411298f;	val_dir[5613*3 + 2] = 0.064942f;
 	val_dir[5614*3 + 0] = -0.909988f;	val_dir[5614*3 + 1] = -0.399507f;	val_dir[5614*3 + 2] = 0.110974f;
 	val_dir[5615*3 + 0] = -0.908622f;	val_dir[5615*3 + 1] = -0.386164f;	val_dir[5615*3 + 2] = 0.159009f;
 	val_dir[5616*3 + 0] = -0.904777f;	val_dir[5616*3 + 1] = -0.371191f;	val_dir[5616*3 + 2] = 0.208795f;
 	val_dir[5617*3 + 0] = -0.898167f;	val_dir[5617*3 + 1] = -0.354540f;	val_dir[5617*3 + 2] = 0.259996f;
 	val_dir[5618*3 + 0] = -0.888540f;	val_dir[5618*3 + 1] = -0.336204f;	val_dir[5618*3 + 2] = 0.312190f;
 	val_dir[5619*3 + 0] = -0.875708f;	val_dir[5619*3 + 1] = -0.316228f;	val_dir[5619*3 + 2] = 0.364878f;
 	val_dir[5620*3 + 0] = -0.859559f;	val_dir[5620*3 + 1] = -0.294706f;	val_dir[5620*3 + 2] = 0.41750f;
 	val_dir[5621*3 + 0] = -0.840083f;	val_dir[5621*3 + 1] = -0.271791f;	val_dir[5621*3 + 2] = 0.469458f;
 	val_dir[5622*3 + 0] = -0.817373f;	val_dir[5622*3 + 1] = -0.247689f;	val_dir[5622*3 + 2] = 0.520146f;
 	val_dir[5623*3 + 0] = -0.791633f;	val_dir[5623*3 + 1] = -0.222647f;	val_dir[5623*3 + 2] = 0.568986f;
 	val_dir[5624*3 + 0] = -0.763167f;	val_dir[5624*3 + 1] = -0.196946f;	val_dir[5624*3 + 2] = 0.615457f;
 	val_dir[5625*3 + 0] = -0.732361f;	val_dir[5625*3 + 1] = -0.170884f;	val_dir[5625*3 + 2] = 0.659125f;
 	val_dir[5626*3 + 0] = -0.699659f;	val_dir[5626*3 + 1] = -0.144757f;	val_dir[5626*3 + 2] = 0.699659f;
 	val_dir[5627*3 + 0] = -0.665536f;	val_dir[5627*3 + 1] = -0.118846f;	val_dir[5627*3 + 2] = 0.736843f;
 	val_dir[5628*3 + 0] = -0.630470f;	val_dir[5628*3 + 1] = -0.093403f;	val_dir[5628*3 + 2] = 0.770574f;
 	val_dir[5629*3 + 0] = -0.594917f;	val_dir[5629*3 + 1] = -0.068644f;	val_dir[5629*3 + 2] = 0.800850f;
 	val_dir[5630*3 + 0] = -0.559297f;	val_dir[5630*3 + 1] = -0.044744f;	val_dir[5630*3 + 2] = 0.827759f;
 	val_dir[5631*3 + 0] = -0.523973f;	val_dir[5631*3 + 1] = -0.021832f;	val_dir[5631*3 + 2] = 0.851455f;
 	val_dir[5632*3 + 0] = -0.489251f;	val_dir[5632*3 + 1] = 0.0f;	val_dir[5632*3 + 2] = 0.872143f;
 	val_dir[5633*3 + 0] = -0.472709f;	val_dir[5633*3 + 1] = 0.021487f;	val_dir[5633*3 + 2] = 0.880957f;
 	val_dir[5634*3 + 0] = -0.455447f;	val_dir[5634*3 + 1] = 0.043376f;	val_dir[5634*3 + 2] = 0.889206f;
 	val_dir[5635*3 + 0] = -0.437479f;	val_dir[5635*3 + 1] = 0.065622f;	val_dir[5635*3 + 2] = 0.896831f;
 	val_dir[5636*3 + 0] = -0.418823f;	val_dir[5636*3 + 1] = 0.088173f;	val_dir[5636*3 + 2] = 0.903777f;
 	val_dir[5637*3 + 0] = -0.399507f;	val_dir[5637*3 + 1] = 0.110974f;	val_dir[5637*3 + 2] = 0.909988f;
 	val_dir[5638*3 + 0] = -0.379563f;	val_dir[5638*3 + 1] = 0.133963f;	val_dir[5638*3 + 2] = 0.915416f;
 	val_dir[5639*3 + 0] = -0.359030f;	val_dir[5639*3 + 1] = 0.157075f;	val_dir[5639*3 + 2] = 0.920014f;
 	val_dir[5640*3 + 0] = -0.337954f;	val_dir[5640*3 + 1] = 0.180242f;	val_dir[5640*3 + 2] = 0.923742f;
 	val_dir[5641*3 + 0] = -0.316389f;	val_dir[5641*3 + 1] = 0.203393f;	val_dir[5641*3 + 2] = 0.926568f;
 	val_dir[5642*3 + 0] = -0.294392f;	val_dir[5642*3 + 1] = 0.226455f;	val_dir[5642*3 + 2] = 0.928467f;
 	val_dir[5643*3 + 0] = -0.272026f;	val_dir[5643*3 + 1] = 0.249357f;	val_dir[5643*3 + 2] = 0.929421f;
 	val_dir[5644*3 + 0] = -0.249357f;	val_dir[5644*3 + 1] = 0.272026f;	val_dir[5644*3 + 2] = 0.929421f;
 	val_dir[5645*3 + 0] = -0.226455f;	val_dir[5645*3 + 1] = 0.294392f;	val_dir[5645*3 + 2] = 0.928467f;
 	val_dir[5646*3 + 0] = -0.203393f;	val_dir[5646*3 + 1] = 0.316389f;	val_dir[5646*3 + 2] = 0.926568f;
 	val_dir[5647*3 + 0] = -0.180242f;	val_dir[5647*3 + 1] = 0.337954f;	val_dir[5647*3 + 2] = 0.923742f;
 	val_dir[5648*3 + 0] = -0.157075f;	val_dir[5648*3 + 1] = 0.359030f;	val_dir[5648*3 + 2] = 0.920014f;
 	val_dir[5649*3 + 0] = -0.133963f;	val_dir[5649*3 + 1] = 0.379563f;	val_dir[5649*3 + 2] = 0.915416f;
 	val_dir[5650*3 + 0] = -0.110974f;	val_dir[5650*3 + 1] = 0.399507f;	val_dir[5650*3 + 2] = 0.909988f;
 	val_dir[5651*3 + 0] = -0.088173f;	val_dir[5651*3 + 1] = 0.418823f;	val_dir[5651*3 + 2] = 0.903777f;
 	val_dir[5652*3 + 0] = -0.065622f;	val_dir[5652*3 + 1] = 0.437479f;	val_dir[5652*3 + 2] = 0.896831f;
 	val_dir[5653*3 + 0] = -0.043376f;	val_dir[5653*3 + 1] = 0.455447f;	val_dir[5653*3 + 2] = 0.889206f;
 	val_dir[5654*3 + 0] = -0.021487f;	val_dir[5654*3 + 1] = 0.472709f;	val_dir[5654*3 + 2] = 0.880957f;
 	val_dir[5655*3 + 0] = 0.0f;	val_dir[5655*3 + 1] = 0.489251f;	val_dir[5655*3 + 2] = 0.872143f;
 	val_dir[5656*3 + 0] = 0.021832f;	val_dir[5656*3 + 1] = 0.523973f;	val_dir[5656*3 + 2] = 0.851455f;
 	val_dir[5657*3 + 0] = 0.044744f;	val_dir[5657*3 + 1] = 0.559297f;	val_dir[5657*3 + 2] = 0.827759f;
 	val_dir[5658*3 + 0] = 0.068644f;	val_dir[5658*3 + 1] = 0.594917f;	val_dir[5658*3 + 2] = 0.800850f;
 	val_dir[5659*3 + 0] = 0.093403f;	val_dir[5659*3 + 1] = 0.630470f;	val_dir[5659*3 + 2] = 0.770574f;
 	val_dir[5660*3 + 0] = 0.118846f;	val_dir[5660*3 + 1] = 0.665536f;	val_dir[5660*3 + 2] = 0.736843f;
 	val_dir[5661*3 + 0] = 0.144757f;	val_dir[5661*3 + 1] = 0.699659f;	val_dir[5661*3 + 2] = 0.699659f;
 	val_dir[5662*3 + 0] = 0.170884f;	val_dir[5662*3 + 1] = 0.732361f;	val_dir[5662*3 + 2] = 0.659125f;
 	val_dir[5663*3 + 0] = 0.196946f;	val_dir[5663*3 + 1] = 0.763167f;	val_dir[5663*3 + 2] = 0.615457f;
 	val_dir[5664*3 + 0] = 0.222647f;	val_dir[5664*3 + 1] = 0.791633f;	val_dir[5664*3 + 2] = 0.568986f;
 	val_dir[5665*3 + 0] = 0.247689f;	val_dir[5665*3 + 1] = 0.817373f;	val_dir[5665*3 + 2] = 0.520146f;
 	val_dir[5666*3 + 0] = 0.271791f;	val_dir[5666*3 + 1] = 0.840083f;	val_dir[5666*3 + 2] = 0.469458f;
 	val_dir[5667*3 + 0] = 0.294706f;	val_dir[5667*3 + 1] = 0.859559f;	val_dir[5667*3 + 2] = 0.41750f;
 	val_dir[5668*3 + 0] = 0.316228f;	val_dir[5668*3 + 1] = 0.875708f;	val_dir[5668*3 + 2] = 0.364878f;
 	val_dir[5669*3 + 0] = 0.336204f;	val_dir[5669*3 + 1] = 0.888540f;	val_dir[5669*3 + 2] = 0.312190f;
 	val_dir[5670*3 + 0] = 0.354540f;	val_dir[5670*3 + 1] = 0.898167f;	val_dir[5670*3 + 2] = 0.259996f;
 	val_dir[5671*3 + 0] = 0.371191f;	val_dir[5671*3 + 1] = 0.904777f;	val_dir[5671*3 + 2] = 0.208795f;
 	val_dir[5672*3 + 0] = 0.386164f;	val_dir[5672*3 + 1] = 0.908622f;	val_dir[5672*3 + 2] = 0.159009f;
 	val_dir[5673*3 + 0] = 0.399507f;	val_dir[5673*3 + 1] = 0.909988f;	val_dir[5673*3 + 2] = 0.110974f;
 	val_dir[5674*3 + 0] = 0.411298f;	val_dir[5674*3 + 1] = 0.909185f;	val_dir[5674*3 + 2] = 0.064942f;
 	val_dir[5675*3 + 0] = 0.421637f;	val_dir[5675*3 + 1] = 0.906520f;	val_dir[5675*3 + 2] = 0.021082f;
 	val_dir[5676*3 + 0] = -0.910366f;	val_dir[5676*3 + 1] = -0.413803f;	val_dir[5676*3 + 2] = 0.0f;
 	val_dir[5677*3 + 0] = -0.913860f;	val_dir[5677*3 + 1] = -0.403799f;	val_dir[5677*3 + 2] = 0.042505f;
 	val_dir[5678*3 + 0] = -0.915644f;	val_dir[5678*3 + 1] = -0.392419f;	val_dir[5678*3 + 2] = 0.087204f;
 	val_dir[5679*3 + 0] = -0.915416f;	val_dir[5679*3 + 1] = -0.379563f;	val_dir[5679*3 + 2] = 0.133963f;
 	val_dir[5680*3 + 0] = -0.912871f;	val_dir[5680*3 + 1] = -0.365148f;	val_dir[5680*3 + 2] = 0.182574f;
 	val_dir[5681*3 + 0] = -0.907713f;	val_dir[5681*3 + 1] = -0.349121f;	val_dir[5681*3 + 2] = 0.232747f;
 	val_dir[5682*3 + 0] = -0.899676f;	val_dir[5682*3 + 1] = -0.331460f;	val_dir[5682*3 + 2] = 0.284108f;
 	val_dir[5683*3 + 0] = -0.888540f;	val_dir[5683*3 + 1] = -0.312190f;	val_dir[5683*3 + 2] = 0.336204f;
 	val_dir[5684*3 + 0] = -0.874157f;	val_dir[5684*3 + 1] = -0.291386f;	val_dir[5684*3 + 2] = 0.388514f;
 	val_dir[5685*3 + 0] = -0.856465f;	val_dir[5685*3 + 1] = -0.269175f;	val_dir[5685*3 + 2] = 0.440468f;
 	val_dir[5686*3 + 0] = -0.835504f;	val_dir[5686*3 + 1] = -0.245737f;	val_dir[5686*3 + 2] = 0.491473f;
 	val_dir[5687*3 + 0] = -0.811421f;	val_dir[5687*3 + 1] = -0.221297f;	val_dir[5687*3 + 2] = 0.540947f;
 	val_dir[5688*3 + 0] = -0.784465f;	val_dir[5688*3 + 1] = -0.196116f;	val_dir[5688*3 + 2] = 0.588348f;
 	val_dir[5689*3 + 0] = -0.754976f;	val_dir[5689*3 + 1] = -0.170478f;	val_dir[5689*3 + 2] = 0.633205f;
 	val_dir[5690*3 + 0] = -0.723364f;	val_dir[5690*3 + 1] = -0.144673f;	val_dir[5690*3 + 2] = 0.675140f;
 	val_dir[5691*3 + 0] = -0.690085f;	val_dir[5691*3 + 1] = -0.118980f;	val_dir[5691*3 + 2] = 0.713881f;
 	val_dir[5692*3 + 0] = -0.655610f;	val_dir[5692*3 + 1] = -0.093659f;	val_dir[5692*3 + 2] = 0.749269f;
 	val_dir[5693*3 + 0] = -0.620403f;	val_dir[5693*3 + 1] = -0.068934f;	val_dir[5693*3 + 2] = 0.781248f;
 	val_dir[5694*3 + 0] = -0.584898f;	val_dir[5694*3 + 1] = -0.044992f;	val_dir[5694*3 + 2] = 0.809858f;
 	val_dir[5695*3 + 0] = -0.549484f;	val_dir[5695*3 + 1] = -0.021979f;	val_dir[5695*3 + 2] = 0.835215f;
 	val_dir[5696*3 + 0] = -0.514496f;	val_dir[5696*3 + 1] = 0.0f;	val_dir[5696*3 + 2] = 0.857493f;
 	val_dir[5697*3 + 0] = -0.498354f;	val_dir[5697*3 + 1] = 0.021668f;	val_dir[5697*3 + 2] = 0.866703f;
 	val_dir[5698*3 + 0] = -0.481457f;	val_dir[5698*3 + 1] = 0.043769f;	val_dir[5698*3 + 2] = 0.875376f;
 	val_dir[5699*3 + 0] = -0.463812f;	val_dir[5699*3 + 1] = 0.066259f;	val_dir[5699*3 + 2] = 0.883452f;
 	val_dir[5700*3 + 0] = -0.445435f;	val_dir[5700*3 + 1] = 0.089087f;	val_dir[5700*3 + 2] = 0.890871f;
 	val_dir[5701*3 + 0] = -0.426348f;	val_dir[5701*3 + 1] = 0.112197f;	val_dir[5701*3 + 2] = 0.897574f;
 	val_dir[5702*3 + 0] = -0.406579f;	val_dir[5702*3 + 1] = 0.135526f;	val_dir[5702*3 + 2] = 0.903508f;
 	val_dir[5703*3 + 0] = -0.386164f;	val_dir[5703*3 + 1] = 0.159009f;	val_dir[5703*3 + 2] = 0.908622f;
 	val_dir[5704*3 + 0] = -0.365148f;	val_dir[5704*3 + 1] = 0.182574f;	val_dir[5704*3 + 2] = 0.912871f;
 	val_dir[5705*3 + 0] = -0.343582f;	val_dir[5705*3 + 1] = 0.206149f;	val_dir[5705*3 + 2] = 0.916217f;
 	val_dir[5706*3 + 0] = -0.321521f;	val_dir[5706*3 + 1] = 0.229658f;	val_dir[5706*3 + 2] = 0.918630f;
 	val_dir[5707*3 + 0] = -0.299028f;	val_dir[5707*3 + 1] = 0.253024f;	val_dir[5707*3 + 2] = 0.920087f;
 	val_dir[5708*3 + 0] = -0.276172f;	val_dir[5708*3 + 1] = 0.276172f;	val_dir[5708*3 + 2] = 0.920575f;
 	val_dir[5709*3 + 0] = -0.253024f;	val_dir[5709*3 + 1] = 0.299028f;	val_dir[5709*3 + 2] = 0.920087f;
 	val_dir[5710*3 + 0] = -0.229658f;	val_dir[5710*3 + 1] = 0.321521f;	val_dir[5710*3 + 2] = 0.918630f;
 	val_dir[5711*3 + 0] = -0.206149f;	val_dir[5711*3 + 1] = 0.343582f;	val_dir[5711*3 + 2] = 0.916217f;
 	val_dir[5712*3 + 0] = -0.182574f;	val_dir[5712*3 + 1] = 0.365148f;	val_dir[5712*3 + 2] = 0.912871f;
 	val_dir[5713*3 + 0] = -0.159009f;	val_dir[5713*3 + 1] = 0.386164f;	val_dir[5713*3 + 2] = 0.908622f;
 	val_dir[5714*3 + 0] = -0.135526f;	val_dir[5714*3 + 1] = 0.406579f;	val_dir[5714*3 + 2] = 0.903508f;
 	val_dir[5715*3 + 0] = -0.112197f;	val_dir[5715*3 + 1] = 0.426348f;	val_dir[5715*3 + 2] = 0.897574f;
 	val_dir[5716*3 + 0] = -0.089087f;	val_dir[5716*3 + 1] = 0.445435f;	val_dir[5716*3 + 2] = 0.890871f;
 	val_dir[5717*3 + 0] = -0.066259f;	val_dir[5717*3 + 1] = 0.463812f;	val_dir[5717*3 + 2] = 0.883452f;
 	val_dir[5718*3 + 0] = -0.043769f;	val_dir[5718*3 + 1] = 0.481457f;	val_dir[5718*3 + 2] = 0.875376f;
 	val_dir[5719*3 + 0] = -0.021668f;	val_dir[5719*3 + 1] = 0.498354f;	val_dir[5719*3 + 2] = 0.866703f;
 	val_dir[5720*3 + 0] = 0.0f;	val_dir[5720*3 + 1] = 0.514496f;	val_dir[5720*3 + 2] = 0.857493f;
 	val_dir[5721*3 + 0] = 0.021979f;	val_dir[5721*3 + 1] = 0.549484f;	val_dir[5721*3 + 2] = 0.835215f;
 	val_dir[5722*3 + 0] = 0.044992f;	val_dir[5722*3 + 1] = 0.584898f;	val_dir[5722*3 + 2] = 0.809858f;
 	val_dir[5723*3 + 0] = 0.068934f;	val_dir[5723*3 + 1] = 0.620403f;	val_dir[5723*3 + 2] = 0.781248f;
 	val_dir[5724*3 + 0] = 0.093659f;	val_dir[5724*3 + 1] = 0.655610f;	val_dir[5724*3 + 2] = 0.749269f;
 	val_dir[5725*3 + 0] = 0.118980f;	val_dir[5725*3 + 1] = 0.690085f;	val_dir[5725*3 + 2] = 0.713881f;
 	val_dir[5726*3 + 0] = 0.144673f;	val_dir[5726*3 + 1] = 0.723364f;	val_dir[5726*3 + 2] = 0.675140f;
 	val_dir[5727*3 + 0] = 0.170478f;	val_dir[5727*3 + 1] = 0.754976f;	val_dir[5727*3 + 2] = 0.633205f;
 	val_dir[5728*3 + 0] = 0.196116f;	val_dir[5728*3 + 1] = 0.784465f;	val_dir[5728*3 + 2] = 0.588348f;
 	val_dir[5729*3 + 0] = 0.221297f;	val_dir[5729*3 + 1] = 0.811421f;	val_dir[5729*3 + 2] = 0.540947f;
 	val_dir[5730*3 + 0] = 0.245737f;	val_dir[5730*3 + 1] = 0.835504f;	val_dir[5730*3 + 2] = 0.491473f;
 	val_dir[5731*3 + 0] = 0.269175f;	val_dir[5731*3 + 1] = 0.856465f;	val_dir[5731*3 + 2] = 0.440468f;
 	val_dir[5732*3 + 0] = 0.291386f;	val_dir[5732*3 + 1] = 0.874157f;	val_dir[5732*3 + 2] = 0.388514f;
 	val_dir[5733*3 + 0] = 0.312190f;	val_dir[5733*3 + 1] = 0.888540f;	val_dir[5733*3 + 2] = 0.336204f;
 	val_dir[5734*3 + 0] = 0.331460f;	val_dir[5734*3 + 1] = 0.899676f;	val_dir[5734*3 + 2] = 0.284108f;
 	val_dir[5735*3 + 0] = 0.349121f;	val_dir[5735*3 + 1] = 0.907713f;	val_dir[5735*3 + 2] = 0.232747f;
 	val_dir[5736*3 + 0] = 0.365148f;	val_dir[5736*3 + 1] = 0.912871f;	val_dir[5736*3 + 2] = 0.182574f;
 	val_dir[5737*3 + 0] = 0.379563f;	val_dir[5737*3 + 1] = 0.915416f;	val_dir[5737*3 + 2] = 0.133963f;
 	val_dir[5738*3 + 0] = 0.392419f;	val_dir[5738*3 + 1] = 0.915644f;	val_dir[5738*3 + 2] = 0.087204f;
 	val_dir[5739*3 + 0] = 0.403799f;	val_dir[5739*3 + 1] = 0.913860f;	val_dir[5739*3 + 2] = 0.042505f;
 	val_dir[5740*3 + 0] = 0.413803f;	val_dir[5740*3 + 1] = 0.910366f;	val_dir[5740*3 + 2] = 0.0f;
 	val_dir[5741*3 + 0] = -0.917863f;	val_dir[5741*3 + 1] = -0.396350f;	val_dir[5741*3 + 2] = 0.020861f;
 	val_dir[5742*3 + 0] = -0.920537f;	val_dir[5742*3 + 1] = -0.385341f;	val_dir[5742*3 + 2] = 0.064223f;
 	val_dir[5743*3 + 0] = -0.921354f;	val_dir[5743*3 + 1] = -0.372929f;	val_dir[5743*3 + 2] = 0.109685f;
 	val_dir[5744*3 + 0] = -0.920014f;	val_dir[5744*3 + 1] = -0.359030f;	val_dir[5744*3 + 2] = 0.157075f;
 	val_dir[5745*3 + 0] = -0.916217f;	val_dir[5745*3 + 1] = -0.343582f;	val_dir[5745*3 + 2] = 0.206149f;
 	val_dir[5746*3 + 0] = -0.909687f;	val_dir[5746*3 + 1] = -0.326554f;	val_dir[5746*3 + 2] = 0.256578f;
 	val_dir[5747*3 + 0] = -0.900181f;	val_dir[5747*3 + 1] = -0.307957f;	val_dir[5747*3 + 2] = 0.307957f;
 	val_dir[5748*3 + 0] = -0.887517f;	val_dir[5748*3 + 1] = -0.287843f;	val_dir[5748*3 + 2] = 0.359804f;
 	val_dir[5749*3 + 0] = -0.871592f;	val_dir[5749*3 + 1] = -0.266320f;	val_dir[5749*3 + 2] = 0.411585f;
 	val_dir[5750*3 + 0] = -0.852392f;	val_dir[5750*3 + 1] = -0.243541f;	val_dir[5750*3 + 2] = 0.462727f;
 	val_dir[5751*3 + 0] = -0.830009f;	val_dir[5751*3 + 1] = -0.219708f;	val_dir[5751*3 + 2] = 0.512653f;
 	val_dir[5752*3 + 0] = -0.804639f;	val_dir[5752*3 + 1] = -0.195064f;	val_dir[5752*3 + 2] = 0.560809f;
 	val_dir[5753*3 + 0] = -0.776571f;	val_dir[5753*3 + 1] = -0.169875f;	val_dir[5753*3 + 2] = 0.606696f;
 	val_dir[5754*3 + 0] = -0.746176f;	val_dir[5754*3 + 1] = -0.144421f;	val_dir[5754*3 + 2] = 0.649895f;
 	val_dir[5755*3 + 0] = -0.713881f;	val_dir[5755*3 + 1] = -0.118980f;	val_dir[5755*3 + 2] = 0.690085f;
 	val_dir[5756*3 + 0] = -0.680144f;	val_dir[5756*3 + 1] = -0.093813f;	val_dir[5756*3 + 2] = 0.727051f;
 	val_dir[5757*3 + 0] = -0.645429f;	val_dir[5757*3 + 1] = -0.069153f;	val_dir[5757*3 + 2] = 0.760684f;
 	val_dir[5758*3 + 0] = -0.610179f;	val_dir[5758*3 + 1] = -0.045198f;	val_dir[5758*3 + 2] = 0.790973f;
 	val_dir[5759*3 + 0] = -0.574805f;	val_dir[5759*3 + 1] = -0.022108f;	val_dir[5759*3 + 2] = 0.817992f;
 	val_dir[5760*3 + 0] = -0.539666f;	val_dir[5760*3 + 1] = 0.0f;	val_dir[5760*3 + 2] = 0.841879f;
 	val_dir[5761*3 + 0] = -0.523973f;	val_dir[5761*3 + 1] = 0.021832f;	val_dir[5761*3 + 2] = 0.851455f;
 	val_dir[5762*3 + 0] = -0.507490f;	val_dir[5762*3 + 1] = 0.044130f;	val_dir[5762*3 + 2] = 0.860527f;
 	val_dir[5763*3 + 0] = -0.490222f;	val_dir[5763*3 + 1] = 0.066848f;	val_dir[5763*3 + 2] = 0.869030f;
 	val_dir[5764*3 + 0] = -0.472178f;	val_dir[5764*3 + 1] = 0.089939f;	val_dir[5764*3 + 2] = 0.876903f;
 	val_dir[5765*3 + 0] = -0.453376f;	val_dir[5765*3 + 1] = 0.113344f;	val_dir[5765*3 + 2] = 0.884083f;
 	val_dir[5766*3 + 0] = -0.433840f;	val_dir[5766*3 + 1] = 0.137002f;	val_dir[5766*3 + 2] = 0.890513f;
 	val_dir[5767*3 + 0] = -0.413602f;	val_dir[5767*3 + 1] = 0.160845f;	val_dir[5767*3 + 2] = 0.896137f;
 	val_dir[5768*3 + 0] = -0.392703f;	val_dir[5768*3 + 1] = 0.184801f;	val_dir[5768*3 + 2] = 0.900907f;
 	val_dir[5769*3 + 0] = -0.371191f;	val_dir[5769*3 + 1] = 0.208795f;	val_dir[5769*3 + 2] = 0.904777f;
 	val_dir[5770*3 + 0] = -0.349121f;	val_dir[5770*3 + 1] = 0.232747f;	val_dir[5770*3 + 2] = 0.907713f;
 	val_dir[5771*3 + 0] = -0.326554f;	val_dir[5771*3 + 1] = 0.256578f;	val_dir[5771*3 + 2] = 0.909687f;
 	val_dir[5772*3 + 0] = -0.303559f;	val_dir[5772*3 + 1] = 0.280209f;	val_dir[5772*3 + 2] = 0.910678f;
 	val_dir[5773*3 + 0] = -0.280209f;	val_dir[5773*3 + 1] = 0.303559f;	val_dir[5773*3 + 2] = 0.910678f;
 	val_dir[5774*3 + 0] = -0.256578f;	val_dir[5774*3 + 1] = 0.326554f;	val_dir[5774*3 + 2] = 0.909687f;
 	val_dir[5775*3 + 0] = -0.232747f;	val_dir[5775*3 + 1] = 0.349121f;	val_dir[5775*3 + 2] = 0.907713f;
 	val_dir[5776*3 + 0] = -0.208795f;	val_dir[5776*3 + 1] = 0.371191f;	val_dir[5776*3 + 2] = 0.904777f;
 	val_dir[5777*3 + 0] = -0.184801f;	val_dir[5777*3 + 1] = 0.392703f;	val_dir[5777*3 + 2] = 0.900907f;
 	val_dir[5778*3 + 0] = -0.160845f;	val_dir[5778*3 + 1] = 0.413602f;	val_dir[5778*3 + 2] = 0.896137f;
 	val_dir[5779*3 + 0] = -0.137002f;	val_dir[5779*3 + 1] = 0.433840f;	val_dir[5779*3 + 2] = 0.890513f;
 	val_dir[5780*3 + 0] = -0.113344f;	val_dir[5780*3 + 1] = 0.453376f;	val_dir[5780*3 + 2] = 0.884083f;
 	val_dir[5781*3 + 0] = -0.089939f;	val_dir[5781*3 + 1] = 0.472178f;	val_dir[5781*3 + 2] = 0.876903f;
 	val_dir[5782*3 + 0] = -0.066848f;	val_dir[5782*3 + 1] = 0.490222f;	val_dir[5782*3 + 2] = 0.869030f;
 	val_dir[5783*3 + 0] = -0.044130f;	val_dir[5783*3 + 1] = 0.507490f;	val_dir[5783*3 + 2] = 0.860527f;
 	val_dir[5784*3 + 0] = -0.021832f;	val_dir[5784*3 + 1] = 0.523973f;	val_dir[5784*3 + 2] = 0.851455f;
 	val_dir[5785*3 + 0] = 0.0f;	val_dir[5785*3 + 1] = 0.539666f;	val_dir[5785*3 + 2] = 0.841879f;
 	val_dir[5786*3 + 0] = 0.022108f;	val_dir[5786*3 + 1] = 0.574805f;	val_dir[5786*3 + 2] = 0.817992f;
 	val_dir[5787*3 + 0] = 0.045198f;	val_dir[5787*3 + 1] = 0.610179f;	val_dir[5787*3 + 2] = 0.790973f;
 	val_dir[5788*3 + 0] = 0.069153f;	val_dir[5788*3 + 1] = 0.645429f;	val_dir[5788*3 + 2] = 0.760684f;
 	val_dir[5789*3 + 0] = 0.093813f;	val_dir[5789*3 + 1] = 0.680144f;	val_dir[5789*3 + 2] = 0.727051f;
 	val_dir[5790*3 + 0] = 0.118980f;	val_dir[5790*3 + 1] = 0.713881f;	val_dir[5790*3 + 2] = 0.690085f;
 	val_dir[5791*3 + 0] = 0.144421f;	val_dir[5791*3 + 1] = 0.746176f;	val_dir[5791*3 + 2] = 0.649895f;
 	val_dir[5792*3 + 0] = 0.169875f;	val_dir[5792*3 + 1] = 0.776571f;	val_dir[5792*3 + 2] = 0.606696f;
 	val_dir[5793*3 + 0] = 0.195064f;	val_dir[5793*3 + 1] = 0.804639f;	val_dir[5793*3 + 2] = 0.560809f;
 	val_dir[5794*3 + 0] = 0.219708f;	val_dir[5794*3 + 1] = 0.830009f;	val_dir[5794*3 + 2] = 0.512653f;
 	val_dir[5795*3 + 0] = 0.243541f;	val_dir[5795*3 + 1] = 0.852392f;	val_dir[5795*3 + 2] = 0.462727f;
 	val_dir[5796*3 + 0] = 0.266320f;	val_dir[5796*3 + 1] = 0.871592f;	val_dir[5796*3 + 2] = 0.411585f;
 	val_dir[5797*3 + 0] = 0.287843f;	val_dir[5797*3 + 1] = 0.887517f;	val_dir[5797*3 + 2] = 0.359804f;
 	val_dir[5798*3 + 0] = 0.307957f;	val_dir[5798*3 + 1] = 0.900181f;	val_dir[5798*3 + 2] = 0.307957f;
 	val_dir[5799*3 + 0] = 0.326554f;	val_dir[5799*3 + 1] = 0.909687f;	val_dir[5799*3 + 2] = 0.256578f;
 	val_dir[5800*3 + 0] = 0.343582f;	val_dir[5800*3 + 1] = 0.916217f;	val_dir[5800*3 + 2] = 0.206149f;
 	val_dir[5801*3 + 0] = 0.359030f;	val_dir[5801*3 + 1] = 0.920014f;	val_dir[5801*3 + 2] = 0.157075f;
 	val_dir[5802*3 + 0] = 0.372929f;	val_dir[5802*3 + 1] = 0.921354f;	val_dir[5802*3 + 2] = 0.109685f;
 	val_dir[5803*3 + 0] = 0.385341f;	val_dir[5803*3 + 1] = 0.920537f;	val_dir[5803*3 + 2] = 0.064223f;
 	val_dir[5804*3 + 0] = 0.396350f;	val_dir[5804*3 + 1] = 0.917863f;	val_dir[5804*3 + 2] = 0.020861f;
 	val_dir[5805*3 + 0] = -0.921250f;	val_dir[5805*3 + 1] = -0.388972f;	val_dir[5805*3 + 2] = 0.0f;
 	val_dir[5806*3 + 0] = -0.924729f;	val_dir[5806*3 + 1] = -0.378298f;	val_dir[5806*3 + 2] = 0.042033f;
 	val_dir[5807*3 + 0] = -0.92650f;	val_dir[5807*3 + 1] = -0.366291f;	val_dir[5807*3 + 2] = 0.086186f;
 	val_dir[5808*3 + 0] = -0.926270f;	val_dir[5808*3 + 1] = -0.352865f;	val_dir[5808*3 + 2] = 0.132324f;
 	val_dir[5809*3 + 0] = -0.923742f;	val_dir[5809*3 + 1] = -0.337954f;	val_dir[5809*3 + 2] = 0.180242f;
 	val_dir[5810*3 + 0] = -0.918630f;	val_dir[5810*3 + 1] = -0.321521f;	val_dir[5810*3 + 2] = 0.229658f;
 	val_dir[5811*3 + 0] = -0.910678f;	val_dir[5811*3 + 1] = -0.303559f;	val_dir[5811*3 + 2] = 0.280209f;
 	val_dir[5812*3 + 0] = -0.899676f;	val_dir[5812*3 + 1] = -0.284108f;	val_dir[5812*3 + 2] = 0.331460f;
 	val_dir[5813*3 + 0] = -0.885482f;	val_dir[5813*3 + 1] = -0.263251f;	val_dir[5813*3 + 2] = 0.382911f;
 	val_dir[5814*3 + 0] = -0.868037f;	val_dir[5814*3 + 1] = -0.241121f;	val_dir[5814*3 + 2] = 0.434019f;
 	val_dir[5815*3 + 0] = -0.847381f;	val_dir[5815*3 + 1] = -0.217898f;	val_dir[5815*3 + 2] = 0.484217f;
 	val_dir[5816*3 + 0] = -0.823653f;	val_dir[5816*3 + 1] = -0.193801f;	val_dir[5816*3 + 2] = 0.532952f;
 	val_dir[5817*3 + 0] = -0.797092f;	val_dir[5817*3 + 1] = -0.169080f;	val_dir[5817*3 + 2] = 0.579703f;
 	val_dir[5818*3 + 0] = -0.768025f;	val_dir[5818*3 + 1] = -0.144005f;	val_dir[5818*3 + 2] = 0.624020f;
 	val_dir[5819*3 + 0] = -0.736843f;	val_dir[5819*3 + 1] = -0.118846f;	val_dir[5819*3 + 2] = 0.665536f;
 	val_dir[5820*3 + 0] = -0.703985f;	val_dir[5820*3 + 1] = -0.093865f;	val_dir[5820*3 + 2] = 0.703985f;
 	val_dir[5821*3 + 0] = -0.669905f;	val_dir[5821*3 + 1] = -0.069301f;	val_dir[5821*3 + 2] = 0.739205f;
 	val_dir[5822*3 + 0] = -0.635053f;	val_dir[5822*3 + 1] = -0.045361f;	val_dir[5822*3 + 2] = 0.771136f;
 	val_dir[5823*3 + 0] = -0.599852f;	val_dir[5823*3 + 1] = -0.022217f;	val_dir[5823*3 + 2] = 0.799803f;
 	val_dir[5824*3 + 0] = -0.564684f;	val_dir[5824*3 + 1] = 0.0f;	val_dir[5824*3 + 2] = 0.825307f;
 	val_dir[5825*3 + 0] = -0.549484f;	val_dir[5825*3 + 1] = 0.021979f;	val_dir[5825*3 + 2] = 0.835215f;
 	val_dir[5826*3 + 0] = -0.533465f;	val_dir[5826*3 + 1] = 0.044455f;	val_dir[5826*3 + 2] = 0.844653f;
 	val_dir[5827*3 + 0] = -0.516626f;	val_dir[5827*3 + 1] = 0.067386f;	val_dir[5827*3 + 2] = 0.853556f;
 	val_dir[5828*3 + 0] = -0.498970f;	val_dir[5828*3 + 1] = 0.090722f;	val_dir[5828*3 + 2] = 0.861857f;
 	val_dir[5829*3 + 0] = -0.480510f;	val_dir[5829*3 + 1] = 0.114407f;	val_dir[5829*3 + 2] = 0.869495f;
 	val_dir[5830*3 + 0] = -0.461266f;	val_dir[5830*3 + 1] = 0.138380f;	val_dir[5830*3 + 2] = 0.876405f;
 	val_dir[5831*3 + 0] = -0.441264f;	val_dir[5831*3 + 1] = 0.162571f;	val_dir[5831*3 + 2] = 0.882528f;
 	val_dir[5832*3 + 0] = -0.420542f;	val_dir[5832*3 + 1] = 0.186908f;	val_dir[5832*3 + 2] = 0.887812f;
 	val_dir[5833*3 + 0] = -0.399145f;	val_dir[5833*3 + 1] = 0.211312f;	val_dir[5833*3 + 2] = 0.892206f;
 	val_dir[5834*3 + 0] = -0.377124f;	val_dir[5834*3 + 1] = 0.235702f;	val_dir[5834*3 + 2] = 0.895669f;
 	val_dir[5835*3 + 0] = -0.354540f;	val_dir[5835*3 + 1] = 0.259996f;	val_dir[5835*3 + 2] = 0.898167f;
 	val_dir[5836*3 + 0] = -0.331460f;	val_dir[5836*3 + 1] = 0.284108f;	val_dir[5836*3 + 2] = 0.899676f;
 	val_dir[5837*3 + 0] = -0.307957f;	val_dir[5837*3 + 1] = 0.307957f;	val_dir[5837*3 + 2] = 0.900181f;
 	val_dir[5838*3 + 0] = -0.284108f;	val_dir[5838*3 + 1] = 0.331460f;	val_dir[5838*3 + 2] = 0.899676f;
 	val_dir[5839*3 + 0] = -0.259996f;	val_dir[5839*3 + 1] = 0.354540f;	val_dir[5839*3 + 2] = 0.898167f;
 	val_dir[5840*3 + 0] = -0.235702f;	val_dir[5840*3 + 1] = 0.377124f;	val_dir[5840*3 + 2] = 0.895669f;
 	val_dir[5841*3 + 0] = -0.211312f;	val_dir[5841*3 + 1] = 0.399145f;	val_dir[5841*3 + 2] = 0.892206f;
 	val_dir[5842*3 + 0] = -0.186908f;	val_dir[5842*3 + 1] = 0.420542f;	val_dir[5842*3 + 2] = 0.887812f;
 	val_dir[5843*3 + 0] = -0.162571f;	val_dir[5843*3 + 1] = 0.441264f;	val_dir[5843*3 + 2] = 0.882528f;
 	val_dir[5844*3 + 0] = -0.138380f;	val_dir[5844*3 + 1] = 0.461266f;	val_dir[5844*3 + 2] = 0.876405f;
 	val_dir[5845*3 + 0] = -0.114407f;	val_dir[5845*3 + 1] = 0.480510f;	val_dir[5845*3 + 2] = 0.869495f;
 	val_dir[5846*3 + 0] = -0.090722f;	val_dir[5846*3 + 1] = 0.498970f;	val_dir[5846*3 + 2] = 0.861857f;
 	val_dir[5847*3 + 0] = -0.067386f;	val_dir[5847*3 + 1] = 0.516626f;	val_dir[5847*3 + 2] = 0.853556f;
 	val_dir[5848*3 + 0] = -0.044455f;	val_dir[5848*3 + 1] = 0.533465f;	val_dir[5848*3 + 2] = 0.844653f;
 	val_dir[5849*3 + 0] = -0.021979f;	val_dir[5849*3 + 1] = 0.549484f;	val_dir[5849*3 + 2] = 0.835215f;
 	val_dir[5850*3 + 0] = 0.0f;	val_dir[5850*3 + 1] = 0.564684f;	val_dir[5850*3 + 2] = 0.825307f;
 	val_dir[5851*3 + 0] = 0.022217f;	val_dir[5851*3 + 1] = 0.599852f;	val_dir[5851*3 + 2] = 0.799803f;
 	val_dir[5852*3 + 0] = 0.045361f;	val_dir[5852*3 + 1] = 0.635053f;	val_dir[5852*3 + 2] = 0.771136f;
 	val_dir[5853*3 + 0] = 0.069301f;	val_dir[5853*3 + 1] = 0.669905f;	val_dir[5853*3 + 2] = 0.739205f;
 	val_dir[5854*3 + 0] = 0.093865f;	val_dir[5854*3 + 1] = 0.703985f;	val_dir[5854*3 + 2] = 0.703985f;
 	val_dir[5855*3 + 0] = 0.118846f;	val_dir[5855*3 + 1] = 0.736843f;	val_dir[5855*3 + 2] = 0.665536f;
 	val_dir[5856*3 + 0] = 0.144005f;	val_dir[5856*3 + 1] = 0.768025f;	val_dir[5856*3 + 2] = 0.624020f;
 	val_dir[5857*3 + 0] = 0.169080f;	val_dir[5857*3 + 1] = 0.797092f;	val_dir[5857*3 + 2] = 0.579703f;
 	val_dir[5858*3 + 0] = 0.193801f;	val_dir[5858*3 + 1] = 0.823653f;	val_dir[5858*3 + 2] = 0.532952f;
 	val_dir[5859*3 + 0] = 0.217898f;	val_dir[5859*3 + 1] = 0.847381f;	val_dir[5859*3 + 2] = 0.484217f;
 	val_dir[5860*3 + 0] = 0.241121f;	val_dir[5860*3 + 1] = 0.868037f;	val_dir[5860*3 + 2] = 0.434019f;
 	val_dir[5861*3 + 0] = 0.263251f;	val_dir[5861*3 + 1] = 0.885482f;	val_dir[5861*3 + 2] = 0.382911f;
 	val_dir[5862*3 + 0] = 0.284108f;	val_dir[5862*3 + 1] = 0.899676f;	val_dir[5862*3 + 2] = 0.331460f;
 	val_dir[5863*3 + 0] = 0.303559f;	val_dir[5863*3 + 1] = 0.910678f;	val_dir[5863*3 + 2] = 0.280209f;
 	val_dir[5864*3 + 0] = 0.321521f;	val_dir[5864*3 + 1] = 0.918630f;	val_dir[5864*3 + 2] = 0.229658f;
 	val_dir[5865*3 + 0] = 0.337954f;	val_dir[5865*3 + 1] = 0.923742f;	val_dir[5865*3 + 2] = 0.180242f;
 	val_dir[5866*3 + 0] = 0.352865f;	val_dir[5866*3 + 1] = 0.926270f;	val_dir[5866*3 + 2] = 0.132324f;
 	val_dir[5867*3 + 0] = 0.366291f;	val_dir[5867*3 + 1] = 0.92650f;	val_dir[5867*3 + 2] = 0.086186f;
 	val_dir[5868*3 + 0] = 0.378298f;	val_dir[5868*3 + 1] = 0.924729f;	val_dir[5868*3 + 2] = 0.042033f;
 	val_dir[5869*3 + 0] = 0.388972f;	val_dir[5869*3 + 1] = 0.921250f;	val_dir[5869*3 + 2] = 0.0f;
 	val_dir[5870*3 + 0] = -0.928279f;	val_dir[5870*3 + 1] = -0.371312f;	val_dir[5870*3 + 2] = 0.020628f;
 	val_dir[5871*3 + 0] = -0.930917f;	val_dir[5871*3 + 1] = -0.359673f;	val_dir[5871*3 + 2] = 0.063472f;
 	val_dir[5872*3 + 0] = -0.931705f;	val_dir[5872*3 + 1] = -0.346681f;	val_dir[5872*3 + 2] = 0.108338f;
 	val_dir[5873*3 + 0] = -0.930352f;	val_dir[5873*3 + 1] = -0.332269f;	val_dir[5873*3 + 2] = 0.155059f;
 	val_dir[5874*3 + 0] = -0.926568f;	val_dir[5874*3 + 1] = -0.316389f;	val_dir[5874*3 + 2] = 0.203393f;
 	val_dir[5875*3 + 0] = -0.920087f;	val_dir[5875*3 + 1] = -0.299028f;	val_dir[5875*3 + 2] = 0.253024f;
 	val_dir[5876*3 + 0] = -0.910678f;	val_dir[5876*3 + 1] = -0.280209f;	val_dir[5876*3 + 2] = 0.303559f;
 	val_dir[5877*3 + 0] = -0.898167f;	val_dir[5877*3 + 1] = -0.259996f;	val_dir[5877*3 + 2] = 0.354540f;
 	val_dir[5878*3 + 0] = -0.882454f;	val_dir[5878*3 + 1] = -0.238501f;	val_dir[5878*3 + 2] = 0.405452f;
 	val_dir[5879*3 + 0] = -0.863530f;	val_dir[5879*3 + 1] = -0.215883f;	val_dir[5879*3 + 2] = 0.455752f;
 	val_dir[5880*3 + 0] = -0.841482f;	val_dir[5880*3 + 1] = -0.192339f;	val_dir[5880*3 + 2] = 0.504889f;
 	val_dir[5881*3 + 0] = -0.816497f;	val_dir[5881*3 + 1] = -0.168102f;	val_dir[5881*3 + 2] = 0.552336f;
 	val_dir[5882*3 + 0] = -0.788851f;	val_dir[5882*3 + 1] = -0.143427f;	val_dir[5882*3 + 2] = 0.597614f;
 	val_dir[5883*3 + 0] = -0.758899f;	val_dir[5883*3 + 1] = -0.118578f;	val_dir[5883*3 + 2] = 0.640321f;
 	val_dir[5884*3 + 0] = -0.727051f;	val_dir[5884*3 + 1] = -0.093813f;	val_dir[5884*3 + 2] = 0.680144f;
 	val_dir[5885*3 + 0] = -0.693746f;	val_dir[5885*3 + 1] = -0.069375f;	val_dir[5885*3 + 2] = 0.716871f;
 	val_dir[5886*3 + 0] = -0.659432f;	val_dir[5886*3 + 1] = -0.045478f;	val_dir[5886*3 + 2] = 0.750388f;
 	val_dir[5887*3 + 0] = -0.624540f;	val_dir[5887*3 + 1] = -0.022305f;	val_dir[5887*3 + 2] = 0.780675f;
 	val_dir[5888*3 + 0] = -0.589469f;	val_dir[5888*3 + 1] = 0.0f;	val_dir[5888*3 + 2] = 0.807791f;
 	val_dir[5889*3 + 0] = -0.574805f;	val_dir[5889*3 + 1] = 0.022108f;	val_dir[5889*3 + 2] = 0.817992f;
 	val_dir[5890*3 + 0] = -0.559297f;	val_dir[5890*3 + 1] = 0.044744f;	val_dir[5890*3 + 2] = 0.827759f;
 	val_dir[5891*3 + 0] = -0.542936f;	val_dir[5891*3 + 1] = 0.067867f;	val_dir[5891*3 + 2] = 0.837027f;
 	val_dir[5892*3 + 0] = -0.525723f;	val_dir[5892*3 + 1] = 0.091430f;	val_dir[5892*3 + 2] = 0.845728f;
 	val_dir[5893*3 + 0] = -0.507662f;	val_dir[5893*3 + 1] = 0.115378f;	val_dir[5893*3 + 2] = 0.853796f;
 	val_dir[5894*3 + 0] = -0.488769f;	val_dir[5894*3 + 1] = 0.139648f;	val_dir[5894*3 + 2] = 0.861164f;
 	val_dir[5895*3 + 0] = -0.469065f;	val_dir[5895*3 + 1] = 0.164173f;	val_dir[5895*3 + 2] = 0.867770f;
 	val_dir[5896*3 + 0] = -0.448583f;	val_dir[5896*3 + 1] = 0.188877f;	val_dir[5896*3 + 2] = 0.873555f;
 	val_dir[5897*3 + 0] = -0.427362f;	val_dir[5897*3 + 1] = 0.213681f;	val_dir[5897*3 + 2] = 0.878466f;
 	val_dir[5898*3 + 0] = -0.405452f;	val_dir[5898*3 + 1] = 0.238501f;	val_dir[5898*3 + 2] = 0.882454f;
 	val_dir[5899*3 + 0] = -0.382911f;	val_dir[5899*3 + 1] = 0.263251f;	val_dir[5899*3 + 2] = 0.885482f;
 	val_dir[5900*3 + 0] = -0.359804f;	val_dir[5900*3 + 1] = 0.287843f;	val_dir[5900*3 + 2] = 0.887517f;
 	val_dir[5901*3 + 0] = -0.336204f;	val_dir[5901*3 + 1] = 0.312190f;	val_dir[5901*3 + 2] = 0.888540f;
 	val_dir[5902*3 + 0] = -0.312190f;	val_dir[5902*3 + 1] = 0.336204f;	val_dir[5902*3 + 2] = 0.888540f;
 	val_dir[5903*3 + 0] = -0.287843f;	val_dir[5903*3 + 1] = 0.359804f;	val_dir[5903*3 + 2] = 0.887517f;
 	val_dir[5904*3 + 0] = -0.263251f;	val_dir[5904*3 + 1] = 0.382911f;	val_dir[5904*3 + 2] = 0.885482f;
 	val_dir[5905*3 + 0] = -0.238501f;	val_dir[5905*3 + 1] = 0.405452f;	val_dir[5905*3 + 2] = 0.882454f;
 	val_dir[5906*3 + 0] = -0.213681f;	val_dir[5906*3 + 1] = 0.427362f;	val_dir[5906*3 + 2] = 0.878466f;
 	val_dir[5907*3 + 0] = -0.188877f;	val_dir[5907*3 + 1] = 0.448583f;	val_dir[5907*3 + 2] = 0.873555f;
 	val_dir[5908*3 + 0] = -0.164173f;	val_dir[5908*3 + 1] = 0.469065f;	val_dir[5908*3 + 2] = 0.867770f;
 	val_dir[5909*3 + 0] = -0.139648f;	val_dir[5909*3 + 1] = 0.488769f;	val_dir[5909*3 + 2] = 0.861164f;
 	val_dir[5910*3 + 0] = -0.115378f;	val_dir[5910*3 + 1] = 0.507662f;	val_dir[5910*3 + 2] = 0.853796f;
 	val_dir[5911*3 + 0] = -0.091430f;	val_dir[5911*3 + 1] = 0.525723f;	val_dir[5911*3 + 2] = 0.845728f;
 	val_dir[5912*3 + 0] = -0.067867f;	val_dir[5912*3 + 1] = 0.542936f;	val_dir[5912*3 + 2] = 0.837027f;
 	val_dir[5913*3 + 0] = -0.044744f;	val_dir[5913*3 + 1] = 0.559297f;	val_dir[5913*3 + 2] = 0.827759f;
 	val_dir[5914*3 + 0] = -0.022108f;	val_dir[5914*3 + 1] = 0.574805f;	val_dir[5914*3 + 2] = 0.817992f;
 	val_dir[5915*3 + 0] = 0.0f;	val_dir[5915*3 + 1] = 0.589469f;	val_dir[5915*3 + 2] = 0.807791f;
 	val_dir[5916*3 + 0] = 0.022305f;	val_dir[5916*3 + 1] = 0.624540f;	val_dir[5916*3 + 2] = 0.780675f;
 	val_dir[5917*3 + 0] = 0.045478f;	val_dir[5917*3 + 1] = 0.659432f;	val_dir[5917*3 + 2] = 0.750388f;
 	val_dir[5918*3 + 0] = 0.069375f;	val_dir[5918*3 + 1] = 0.693746f;	val_dir[5918*3 + 2] = 0.716871f;
 	val_dir[5919*3 + 0] = 0.093813f;	val_dir[5919*3 + 1] = 0.727051f;	val_dir[5919*3 + 2] = 0.680144f;
 	val_dir[5920*3 + 0] = 0.118578f;	val_dir[5920*3 + 1] = 0.758899f;	val_dir[5920*3 + 2] = 0.640321f;
 	val_dir[5921*3 + 0] = 0.143427f;	val_dir[5921*3 + 1] = 0.788851f;	val_dir[5921*3 + 2] = 0.597614f;
 	val_dir[5922*3 + 0] = 0.168102f;	val_dir[5922*3 + 1] = 0.816497f;	val_dir[5922*3 + 2] = 0.552336f;
 	val_dir[5923*3 + 0] = 0.192339f;	val_dir[5923*3 + 1] = 0.841482f;	val_dir[5923*3 + 2] = 0.504889f;
 	val_dir[5924*3 + 0] = 0.215883f;	val_dir[5924*3 + 1] = 0.863530f;	val_dir[5924*3 + 2] = 0.455752f;
 	val_dir[5925*3 + 0] = 0.238501f;	val_dir[5925*3 + 1] = 0.882454f;	val_dir[5925*3 + 2] = 0.405452f;
 	val_dir[5926*3 + 0] = 0.259996f;	val_dir[5926*3 + 1] = 0.898167f;	val_dir[5926*3 + 2] = 0.354540f;
 	val_dir[5927*3 + 0] = 0.280209f;	val_dir[5927*3 + 1] = 0.910678f;	val_dir[5927*3 + 2] = 0.303559f;
 	val_dir[5928*3 + 0] = 0.299028f;	val_dir[5928*3 + 1] = 0.920087f;	val_dir[5928*3 + 2] = 0.253024f;
 	val_dir[5929*3 + 0] = 0.316389f;	val_dir[5929*3 + 1] = 0.926568f;	val_dir[5929*3 + 2] = 0.203393f;
 	val_dir[5930*3 + 0] = 0.332269f;	val_dir[5930*3 + 1] = 0.930352f;	val_dir[5930*3 + 2] = 0.155059f;
 	val_dir[5931*3 + 0] = 0.346681f;	val_dir[5931*3 + 1] = 0.931705f;	val_dir[5931*3 + 2] = 0.108338f;
 	val_dir[5932*3 + 0] = 0.359673f;	val_dir[5932*3 + 1] = 0.930917f;	val_dir[5932*3 + 2] = 0.063472f;
 	val_dir[5933*3 + 0] = 0.371312f;	val_dir[5933*3 + 1] = 0.928279f;	val_dir[5933*3 + 2] = 0.020628f;
 	val_dir[5934*3 + 0] = -0.931243f;	val_dir[5934*3 + 1] = -0.364399f;	val_dir[5934*3 + 2] = 0.0f;
 	val_dir[5935*3 + 0] = -0.934665f;	val_dir[5935*3 + 1] = -0.353096f;	val_dir[5935*3 + 2] = 0.041541f;
 	val_dir[5936*3 + 0] = -0.936382f;	val_dir[5936*3 + 1] = -0.340503f;	val_dir[5936*3 + 2] = 0.085126f;
 	val_dir[5937*3 + 0] = -0.936111f;	val_dir[5937*3 + 1] = -0.326550f;	val_dir[5937*3 + 2] = 0.130620f;
 	val_dir[5938*3 + 0] = -0.933564f;	val_dir[5938*3 + 1] = -0.311188f;	val_dir[5938*3 + 2] = 0.177822f;
 	val_dir[5939*3 + 0] = -0.928467f;	val_dir[5939*3 + 1] = -0.294392f;	val_dir[5939*3 + 2] = 0.226455f;
 	val_dir[5940*3 + 0] = -0.920575f;	val_dir[5940*3 + 1] = -0.276172f;	val_dir[5940*3 + 2] = 0.276172f;
 	val_dir[5941*3 + 0] = -0.909687f;	val_dir[5941*3 + 1] = -0.256578f;	val_dir[5941*3 + 2] = 0.326554f;
 	val_dir[5942*3 + 0] = -0.895669f;	val_dir[5942*3 + 1] = -0.235702f;	val_dir[5942*3 + 2] = 0.377124f;
 	val_dir[5943*3 + 0] = -0.878466f;	val_dir[5943*3 + 1] = -0.213681f;	val_dir[5943*3 + 2] = 0.427362f;
 	val_dir[5944*3 + 0] = -0.858116f;	val_dir[5944*3 + 1] = -0.190693f;	val_dir[5944*3 + 2] = 0.476731f;
 	val_dir[5945*3 + 0] = -0.834754f;	val_dir[5945*3 + 1] = -0.166951f;	val_dir[5945*3 + 2] = 0.524703f;
 	val_dir[5946*3 + 0] = -0.808608f;	val_dir[5946*3 + 1] = -0.142695f;	val_dir[5946*3 + 2] = 0.570782f;
 	val_dir[5947*3 + 0] = -0.779987f;	val_dir[5947*3 + 1] = -0.118180f;	val_dir[5947*3 + 2] = 0.614535f;
 	val_dir[5948*3 + 0] = -0.749269f;	val_dir[5948*3 + 1] = -0.093659f;	val_dir[5948*3 + 2] = 0.655610f;
 	val_dir[5949*3 + 0] = -0.716871f;	val_dir[5949*3 + 1] = -0.069375f;	val_dir[5949*3 + 2] = 0.693746f;
 	val_dir[5950*3 + 0] = -0.683231f;	val_dir[5950*3 + 1] = -0.045549f;	val_dir[5950*3 + 2] = 0.728780f;
 	val_dir[5951*3 + 0] = -0.648784f;	val_dir[5951*3 + 1] = -0.022372f;	val_dir[5951*3 + 2] = 0.760644f;
 	val_dir[5952*3 + 0] = -0.613941f;	val_dir[5952*3 + 1] = 0.0f;	val_dir[5952*3 + 2] = 0.789352f;
 	val_dir[5953*3 + 0] = -0.599852f;	val_dir[5953*3 + 1] = 0.022217f;	val_dir[5953*3 + 2] = 0.799803f;
 	val_dir[5954*3 + 0] = -0.584898f;	val_dir[5954*3 + 1] = 0.044992f;	val_dir[5954*3 + 2] = 0.809858f;
 	val_dir[5955*3 + 0] = -0.569064f;	val_dir[5955*3 + 1] = 0.068288f;	val_dir[5955*3 + 2] = 0.819453f;
 	val_dir[5956*3 + 0] = -0.552345f;	val_dir[5956*3 + 1] = 0.092057f;	val_dir[5956*3 + 2] = 0.828517f;
 	val_dir[5957*3 + 0] = -0.534739f;	val_dir[5957*3 + 1] = 0.116248f;	val_dir[5957*3 + 2] = 0.836983f;
 	val_dir[5958*3 + 0] = -0.516256f;	val_dir[5958*3 + 1] = 0.140797f;	val_dir[5958*3 + 2] = 0.844782f;
 	val_dir[5959*3 + 0] = -0.496911f;	val_dir[5959*3 + 1] = 0.165637f;	val_dir[5959*3 + 2] = 0.851847f;
 	val_dir[5960*3 + 0] = -0.476731f;	val_dir[5960*3 + 1] = 0.190693f;	val_dir[5960*3 + 2] = 0.858116f;
 	val_dir[5961*3 + 0] = -0.455752f;	val_dir[5961*3 + 1] = 0.215883f;	val_dir[5961*3 + 2] = 0.863530f;
 	val_dir[5962*3 + 0] = -0.434019f;	val_dir[5962*3 + 1] = 0.241121f;	val_dir[5962*3 + 2] = 0.868037f;
 	val_dir[5963*3 + 0] = -0.411585f;	val_dir[5963*3 + 1] = 0.266320f;	val_dir[5963*3 + 2] = 0.871592f;
 	val_dir[5964*3 + 0] = -0.388514f;	val_dir[5964*3 + 1] = 0.291386f;	val_dir[5964*3 + 2] = 0.874157f;
 	val_dir[5965*3 + 0] = -0.364878f;	val_dir[5965*3 + 1] = 0.316228f;	val_dir[5965*3 + 2] = 0.875708f;
 	val_dir[5966*3 + 0] = -0.340755f;	val_dir[5966*3 + 1] = 0.340755f;	val_dir[5966*3 + 2] = 0.876226f;
 	val_dir[5967*3 + 0] = -0.316228f;	val_dir[5967*3 + 1] = 0.364878f;	val_dir[5967*3 + 2] = 0.875708f;
 	val_dir[5968*3 + 0] = -0.291386f;	val_dir[5968*3 + 1] = 0.388514f;	val_dir[5968*3 + 2] = 0.874157f;
 	val_dir[5969*3 + 0] = -0.266320f;	val_dir[5969*3 + 1] = 0.411585f;	val_dir[5969*3 + 2] = 0.871592f;
 	val_dir[5970*3 + 0] = -0.241121f;	val_dir[5970*3 + 1] = 0.434019f;	val_dir[5970*3 + 2] = 0.868037f;
 	val_dir[5971*3 + 0] = -0.215883f;	val_dir[5971*3 + 1] = 0.455752f;	val_dir[5971*3 + 2] = 0.863530f;
 	val_dir[5972*3 + 0] = -0.190693f;	val_dir[5972*3 + 1] = 0.476731f;	val_dir[5972*3 + 2] = 0.858116f;
 	val_dir[5973*3 + 0] = -0.165637f;	val_dir[5973*3 + 1] = 0.496911f;	val_dir[5973*3 + 2] = 0.851847f;
 	val_dir[5974*3 + 0] = -0.140797f;	val_dir[5974*3 + 1] = 0.516256f;	val_dir[5974*3 + 2] = 0.844782f;
 	val_dir[5975*3 + 0] = -0.116248f;	val_dir[5975*3 + 1] = 0.534739f;	val_dir[5975*3 + 2] = 0.836983f;
 	val_dir[5976*3 + 0] = -0.092057f;	val_dir[5976*3 + 1] = 0.552345f;	val_dir[5976*3 + 2] = 0.828517f;
 	val_dir[5977*3 + 0] = -0.068288f;	val_dir[5977*3 + 1] = 0.569064f;	val_dir[5977*3 + 2] = 0.819453f;
 	val_dir[5978*3 + 0] = -0.044992f;	val_dir[5978*3 + 1] = 0.584898f;	val_dir[5978*3 + 2] = 0.809858f;
 	val_dir[5979*3 + 0] = -0.022217f;	val_dir[5979*3 + 1] = 0.599852f;	val_dir[5979*3 + 2] = 0.799803f;
 	val_dir[5980*3 + 0] = 0.0f;	val_dir[5980*3 + 1] = 0.613941f;	val_dir[5980*3 + 2] = 0.789352f;
 	val_dir[5981*3 + 0] = 0.022372f;	val_dir[5981*3 + 1] = 0.648784f;	val_dir[5981*3 + 2] = 0.760644f;
 	val_dir[5982*3 + 0] = 0.045549f;	val_dir[5982*3 + 1] = 0.683231f;	val_dir[5982*3 + 2] = 0.728780f;
 	val_dir[5983*3 + 0] = 0.069375f;	val_dir[5983*3 + 1] = 0.716871f;	val_dir[5983*3 + 2] = 0.693746f;
 	val_dir[5984*3 + 0] = 0.093659f;	val_dir[5984*3 + 1] = 0.749269f;	val_dir[5984*3 + 2] = 0.655610f;
 	val_dir[5985*3 + 0] = 0.118180f;	val_dir[5985*3 + 1] = 0.779987f;	val_dir[5985*3 + 2] = 0.614535f;
 	val_dir[5986*3 + 0] = 0.142695f;	val_dir[5986*3 + 1] = 0.808608f;	val_dir[5986*3 + 2] = 0.570782f;
 	val_dir[5987*3 + 0] = 0.166951f;	val_dir[5987*3 + 1] = 0.834754f;	val_dir[5987*3 + 2] = 0.524703f;
 	val_dir[5988*3 + 0] = 0.190693f;	val_dir[5988*3 + 1] = 0.858116f;	val_dir[5988*3 + 2] = 0.476731f;
 	val_dir[5989*3 + 0] = 0.213681f;	val_dir[5989*3 + 1] = 0.878466f;	val_dir[5989*3 + 2] = 0.427362f;
 	val_dir[5990*3 + 0] = 0.235702f;	val_dir[5990*3 + 1] = 0.895669f;	val_dir[5990*3 + 2] = 0.377124f;
 	val_dir[5991*3 + 0] = 0.256578f;	val_dir[5991*3 + 1] = 0.909687f;	val_dir[5991*3 + 2] = 0.326554f;
 	val_dir[5992*3 + 0] = 0.276172f;	val_dir[5992*3 + 1] = 0.920575f;	val_dir[5992*3 + 2] = 0.276172f;
 	val_dir[5993*3 + 0] = 0.294392f;	val_dir[5993*3 + 1] = 0.928467f;	val_dir[5993*3 + 2] = 0.226455f;
 	val_dir[5994*3 + 0] = 0.311188f;	val_dir[5994*3 + 1] = 0.933564f;	val_dir[5994*3 + 2] = 0.177822f;
 	val_dir[5995*3 + 0] = 0.326550f;	val_dir[5995*3 + 1] = 0.936111f;	val_dir[5995*3 + 2] = 0.130620f;
 	val_dir[5996*3 + 0] = 0.340503f;	val_dir[5996*3 + 1] = 0.936382f;	val_dir[5996*3 + 2] = 0.085126f;
 	val_dir[5997*3 + 0] = 0.353096f;	val_dir[5997*3 + 1] = 0.934665f;	val_dir[5997*3 + 2] = 0.041541f;
 	val_dir[5998*3 + 0] = 0.364399f;	val_dir[5998*3 + 1] = 0.931243f;	val_dir[5998*3 + 2] = 0.0f;
 	val_dir[5999*3 + 0] = -0.93780f;	val_dir[5999*3 + 1] = -0.346578f;	val_dir[5999*3 + 2] = 0.020387f;
 	val_dir[6000*3 + 0] = -0.940361f;	val_dir[6000*3 + 1] = -0.334351f;	val_dir[6000*3 + 2] = 0.062691f;
 	val_dir[6001*3 + 0] = -0.941082f;	val_dir[6001*3 + 1] = -0.320824f;	val_dir[6001*3 + 2] = 0.106941f;
 	val_dir[6002*3 + 0] = -0.939680f;	val_dir[6002*3 + 1] = -0.305942f;	val_dir[6002*3 + 2] = 0.152971f;
 	val_dir[6003*3 + 0] = -0.935879f;	val_dir[6003*3 + 1] = -0.289677f;	val_dir[6003*3 + 2] = 0.200545f;
 	val_dir[6004*3 + 0] = -0.929421f;	val_dir[6004*3 + 1] = -0.272026f;	val_dir[6004*3 + 2] = 0.249357f;
 	val_dir[6005*3 + 0] = -0.920087f;	val_dir[6005*3 + 1] = -0.253024f;	val_dir[6005*3 + 2] = 0.299028f;
 	val_dir[6006*3 + 0] = -0.907713f;	val_dir[6006*3 + 1] = -0.232747f;	val_dir[6006*3 + 2] = 0.349121f;
 	val_dir[6007*3 + 0] = -0.892206f;	val_dir[6007*3 + 1] = -0.211312f;	val_dir[6007*3 + 2] = 0.399145f;
 	val_dir[6008*3 + 0] = -0.873555f;	val_dir[6008*3 + 1] = -0.188877f;	val_dir[6008*3 + 2] = 0.448583f;
 	val_dir[6009*3 + 0] = -0.851847f;	val_dir[6009*3 + 1] = -0.165637f;	val_dir[6009*3 + 2] = 0.496911f;
 	val_dir[6010*3 + 0] = -0.827259f;	val_dir[6010*3 + 1] = -0.141816f;	val_dir[6010*3 + 2] = 0.543627f;
 	val_dir[6011*3 + 0] = -0.800055f;	val_dir[6011*3 + 1] = -0.117655f;	val_dir[6011*3 + 2] = 0.588276f;
 	val_dir[6012*3 + 0] = -0.770574f;	val_dir[6012*3 + 1] = -0.093403f;	val_dir[6012*3 + 2] = 0.630470f;
 	val_dir[6013*3 + 0] = -0.739205f;	val_dir[6013*3 + 1] = -0.069301f;	val_dir[6013*3 + 2] = 0.669905f;
 	val_dir[6014*3 + 0] = -0.706372f;	val_dir[6014*3 + 1] = -0.045572f;	val_dir[6014*3 + 2] = 0.706372f;
 	val_dir[6015*3 + 0] = -0.672504f;	val_dir[6015*3 + 1] = -0.022417f;	val_dir[6015*3 + 2] = 0.739754f;
 	val_dir[6016*3 + 0] = -0.638018f;	val_dir[6016*3 + 1] = 0.0f;	val_dir[6016*3 + 2] = 0.770022f;
 	val_dir[6017*3 + 0] = -0.624540f;	val_dir[6017*3 + 1] = 0.022305f;	val_dir[6017*3 + 2] = 0.780675f;
 	val_dir[6018*3 + 0] = -0.610179f;	val_dir[6018*3 + 1] = 0.045198f;	val_dir[6018*3 + 2] = 0.790973f;
 	val_dir[6019*3 + 0] = -0.594917f;	val_dir[6019*3 + 1] = 0.068644f;	val_dir[6019*3 + 2] = 0.800850f;
 	val_dir[6020*3 + 0] = -0.578741f;	val_dir[6020*3 + 1] = 0.092599f;	val_dir[6020*3 + 2] = 0.810237f;
 	val_dir[6021*3 + 0] = -0.561644f;	val_dir[6021*3 + 1] = 0.117009f;	val_dir[6021*3 + 2] = 0.819064f;
 	val_dir[6022*3 + 0] = -0.543627f;	val_dir[6022*3 + 1] = 0.141816f;	val_dir[6022*3 + 2] = 0.827259f;
 	val_dir[6023*3 + 0] = -0.524703f;	val_dir[6023*3 + 1] = 0.166951f;	val_dir[6023*3 + 2] = 0.834754f;
 	val_dir[6024*3 + 0] = -0.504889f;	val_dir[6024*3 + 1] = 0.192339f;	val_dir[6024*3 + 2] = 0.841482f;
 	val_dir[6025*3 + 0] = -0.484217f;	val_dir[6025*3 + 1] = 0.217898f;	val_dir[6025*3 + 2] = 0.847381f;
 	val_dir[6026*3 + 0] = -0.462727f;	val_dir[6026*3 + 1] = 0.243541f;	val_dir[6026*3 + 2] = 0.852392f;
 	val_dir[6027*3 + 0] = -0.440468f;	val_dir[6027*3 + 1] = 0.269175f;	val_dir[6027*3 + 2] = 0.856465f;
 	val_dir[6028*3 + 0] = -0.41750f;	val_dir[6028*3 + 1] = 0.294706f;	val_dir[6028*3 + 2] = 0.859559f;
 	val_dir[6029*3 + 0] = -0.393893f;	val_dir[6029*3 + 1] = 0.320038f;	val_dir[6029*3 + 2] = 0.861640f;
 	val_dir[6030*3 + 0] = -0.369723f;	val_dir[6030*3 + 1] = 0.345075f;	val_dir[6030*3 + 2] = 0.862687f;
 	val_dir[6031*3 + 0] = -0.345075f;	val_dir[6031*3 + 1] = 0.369723f;	val_dir[6031*3 + 2] = 0.862687f;
 	val_dir[6032*3 + 0] = -0.320038f;	val_dir[6032*3 + 1] = 0.393893f;	val_dir[6032*3 + 2] = 0.861640f;
 	val_dir[6033*3 + 0] = -0.294706f;	val_dir[6033*3 + 1] = 0.41750f;	val_dir[6033*3 + 2] = 0.859559f;
 	val_dir[6034*3 + 0] = -0.269175f;	val_dir[6034*3 + 1] = 0.440468f;	val_dir[6034*3 + 2] = 0.856465f;
 	val_dir[6035*3 + 0] = -0.243541f;	val_dir[6035*3 + 1] = 0.462727f;	val_dir[6035*3 + 2] = 0.852392f;
 	val_dir[6036*3 + 0] = -0.217898f;	val_dir[6036*3 + 1] = 0.484217f;	val_dir[6036*3 + 2] = 0.847381f;
 	val_dir[6037*3 + 0] = -0.192339f;	val_dir[6037*3 + 1] = 0.504889f;	val_dir[6037*3 + 2] = 0.841482f;
 	val_dir[6038*3 + 0] = -0.166951f;	val_dir[6038*3 + 1] = 0.524703f;	val_dir[6038*3 + 2] = 0.834754f;
 	val_dir[6039*3 + 0] = -0.141816f;	val_dir[6039*3 + 1] = 0.543627f;	val_dir[6039*3 + 2] = 0.827259f;
 	val_dir[6040*3 + 0] = -0.117009f;	val_dir[6040*3 + 1] = 0.561644f;	val_dir[6040*3 + 2] = 0.819064f;
 	val_dir[6041*3 + 0] = -0.092599f;	val_dir[6041*3 + 1] = 0.578741f;	val_dir[6041*3 + 2] = 0.810237f;
 	val_dir[6042*3 + 0] = -0.068644f;	val_dir[6042*3 + 1] = 0.594917f;	val_dir[6042*3 + 2] = 0.800850f;
 	val_dir[6043*3 + 0] = -0.045198f;	val_dir[6043*3 + 1] = 0.610179f;	val_dir[6043*3 + 2] = 0.790973f;
 	val_dir[6044*3 + 0] = -0.022305f;	val_dir[6044*3 + 1] = 0.624540f;	val_dir[6044*3 + 2] = 0.780675f;
 	val_dir[6045*3 + 0] = 0.0f;	val_dir[6045*3 + 1] = 0.638018f;	val_dir[6045*3 + 2] = 0.770022f;
 	val_dir[6046*3 + 0] = 0.022417f;	val_dir[6046*3 + 1] = 0.672504f;	val_dir[6046*3 + 2] = 0.739754f;
 	val_dir[6047*3 + 0] = 0.045572f;	val_dir[6047*3 + 1] = 0.706372f;	val_dir[6047*3 + 2] = 0.706372f;
 	val_dir[6048*3 + 0] = 0.069301f;	val_dir[6048*3 + 1] = 0.739205f;	val_dir[6048*3 + 2] = 0.669905f;
 	val_dir[6049*3 + 0] = 0.093403f;	val_dir[6049*3 + 1] = 0.770574f;	val_dir[6049*3 + 2] = 0.630470f;
 	val_dir[6050*3 + 0] = 0.117655f;	val_dir[6050*3 + 1] = 0.800055f;	val_dir[6050*3 + 2] = 0.588276f;
 	val_dir[6051*3 + 0] = 0.141816f;	val_dir[6051*3 + 1] = 0.827259f;	val_dir[6051*3 + 2] = 0.543627f;
 	val_dir[6052*3 + 0] = 0.165637f;	val_dir[6052*3 + 1] = 0.851847f;	val_dir[6052*3 + 2] = 0.496911f;
 	val_dir[6053*3 + 0] = 0.188877f;	val_dir[6053*3 + 1] = 0.873555f;	val_dir[6053*3 + 2] = 0.448583f;
 	val_dir[6054*3 + 0] = 0.211312f;	val_dir[6054*3 + 1] = 0.892206f;	val_dir[6054*3 + 2] = 0.399145f;
 	val_dir[6055*3 + 0] = 0.232747f;	val_dir[6055*3 + 1] = 0.907713f;	val_dir[6055*3 + 2] = 0.349121f;
 	val_dir[6056*3 + 0] = 0.253024f;	val_dir[6056*3 + 1] = 0.920087f;	val_dir[6056*3 + 2] = 0.299028f;
 	val_dir[6057*3 + 0] = 0.272026f;	val_dir[6057*3 + 1] = 0.929421f;	val_dir[6057*3 + 2] = 0.249357f;
 	val_dir[6058*3 + 0] = 0.289677f;	val_dir[6058*3 + 1] = 0.935879f;	val_dir[6058*3 + 2] = 0.200545f;
 	val_dir[6059*3 + 0] = 0.305942f;	val_dir[6059*3 + 1] = 0.939680f;	val_dir[6059*3 + 2] = 0.152971f;
 	val_dir[6060*3 + 0] = 0.320824f;	val_dir[6060*3 + 1] = 0.941082f;	val_dir[6060*3 + 2] = 0.106941f;
 	val_dir[6061*3 + 0] = 0.334351f;	val_dir[6061*3 + 1] = 0.940361f;	val_dir[6061*3 + 2] = 0.062691f;
 	val_dir[6062*3 + 0] = 0.346578f;	val_dir[6062*3 + 1] = 0.93780f;	val_dir[6062*3 + 2] = 0.020387f;
 	val_dir[6063*3 + 0] = -0.940376f;	val_dir[6063*3 + 1] = -0.340136f;	val_dir[6063*3 + 2] = 0.0f;
 	val_dir[6064*3 + 0] = -0.943701f;	val_dir[6064*3 + 1] = -0.328244f;	val_dir[6064*3 + 2] = 0.041030f;
 	val_dir[6065*3 + 0] = -0.945328f;	val_dir[6065*3 + 1] = -0.315109f;	val_dir[6065*3 + 2] = 0.084029f;
 	val_dir[6066*3 + 0] = -0.944981f;	val_dir[6066*3 + 1] = -0.300676f;	val_dir[6066*3 + 2] = 0.128861f;
 	val_dir[6067*3 + 0] = -0.942384f;	val_dir[6067*3 + 1] = -0.284907f;	val_dir[6067*3 + 2] = 0.175327f;
 	val_dir[6068*3 + 0] = -0.937276f;	val_dir[6068*3 + 1] = -0.267793f;	val_dir[6068*3 + 2] = 0.223161f;
 	val_dir[6069*3 + 0] = -0.929421f;	val_dir[6069*3 + 1] = -0.249357f;	val_dir[6069*3 + 2] = 0.272026f;
 	val_dir[6070*3 + 0] = -0.918630f;	val_dir[6070*3 + 1] = -0.229658f;	val_dir[6070*3 + 2] = 0.321521f;
 	val_dir[6071*3 + 0] = -0.904777f;	val_dir[6071*3 + 1] = -0.208795f;	val_dir[6071*3 + 2] = 0.371191f;
 	val_dir[6072*3 + 0] = -0.887812f;	val_dir[6072*3 + 1] = -0.186908f;	val_dir[6072*3 + 2] = 0.420542f;
 	val_dir[6073*3 + 0] = -0.867770f;	val_dir[6073*3 + 1] = -0.164173f;	val_dir[6073*3 + 2] = 0.469065f;
 	val_dir[6074*3 + 0] = -0.844782f;	val_dir[6074*3 + 1] = -0.140797f;	val_dir[6074*3 + 2] = 0.516256f;
 	val_dir[6075*3 + 0] = -0.819064f;	val_dir[6075*3 + 1] = -0.117009f;	val_dir[6075*3 + 2] = 0.561644f;
 	val_dir[6076*3 + 0] = -0.790912f;	val_dir[6076*3 + 1] = -0.093048f;	val_dir[6076*3 + 2] = 0.604815f;
 	val_dir[6077*3 + 0] = -0.760684f;	val_dir[6077*3 + 1] = -0.069153f;	val_dir[6077*3 + 2] = 0.645429f;
 	val_dir[6078*3 + 0] = -0.728780f;	val_dir[6078*3 + 1] = -0.045549f;	val_dir[6078*3 + 2] = 0.683231f;
 	val_dir[6079*3 + 0] = -0.695620f;	val_dir[6079*3 + 1] = -0.022439f;	val_dir[6079*3 + 2] = 0.718059f;
 	val_dir[6080*3 + 0] = -0.661622f;	val_dir[6080*3 + 1] = 0.0f;	val_dir[6080*3 + 2] = 0.749838f;
 	val_dir[6081*3 + 0] = -0.648784f;	val_dir[6081*3 + 1] = 0.022372f;	val_dir[6081*3 + 2] = 0.760644f;
 	val_dir[6082*3 + 0] = -0.635053f;	val_dir[6082*3 + 1] = 0.045361f;	val_dir[6082*3 + 2] = 0.771136f;
 	val_dir[6083*3 + 0] = -0.620403f;	val_dir[6083*3 + 1] = 0.068934f;	val_dir[6083*3 + 2] = 0.781248f;
 	val_dir[6084*3 + 0] = -0.604815f;	val_dir[6084*3 + 1] = 0.093048f;	val_dir[6084*3 + 2] = 0.790912f;
 	val_dir[6085*3 + 0] = -0.588276f;	val_dir[6085*3 + 1] = 0.117655f;	val_dir[6085*3 + 2] = 0.800055f;
 	val_dir[6086*3 + 0] = -0.570782f;	val_dir[6086*3 + 1] = 0.142695f;	val_dir[6086*3 + 2] = 0.808608f;
 	val_dir[6087*3 + 0] = -0.552336f;	val_dir[6087*3 + 1] = 0.168102f;	val_dir[6087*3 + 2] = 0.816497f;
 	val_dir[6088*3 + 0] = -0.532952f;	val_dir[6088*3 + 1] = 0.193801f;	val_dir[6088*3 + 2] = 0.823653f;
 	val_dir[6089*3 + 0] = -0.512653f;	val_dir[6089*3 + 1] = 0.219708f;	val_dir[6089*3 + 2] = 0.830009f;
 	val_dir[6090*3 + 0] = -0.491473f;	val_dir[6090*3 + 1] = 0.245737f;	val_dir[6090*3 + 2] = 0.835504f;
 	val_dir[6091*3 + 0] = -0.469458f;	val_dir[6091*3 + 1] = 0.271791f;	val_dir[6091*3 + 2] = 0.840083f;
 	val_dir[6092*3 + 0] = -0.446662f;	val_dir[6092*3 + 1] = 0.297775f;	val_dir[6092*3 + 2] = 0.843696f;
 	val_dir[6093*3 + 0] = -0.423153f;	val_dir[6093*3 + 1] = 0.323587f;	val_dir[6093*3 + 2] = 0.846305f;
 	val_dir[6094*3 + 0] = -0.399004f;	val_dir[6094*3 + 1] = 0.349128f;	val_dir[6094*3 + 2] = 0.847883f;
 	val_dir[6095*3 + 0] = -0.374299f;	val_dir[6095*3 + 1] = 0.374299f;	val_dir[6095*3 + 2] = 0.848411f;
 	val_dir[6096*3 + 0] = -0.349128f;	val_dir[6096*3 + 1] = 0.399004f;	val_dir[6096*3 + 2] = 0.847883f;
 	val_dir[6097*3 + 0] = -0.323587f;	val_dir[6097*3 + 1] = 0.423153f;	val_dir[6097*3 + 2] = 0.846305f;
 	val_dir[6098*3 + 0] = -0.297775f;	val_dir[6098*3 + 1] = 0.446662f;	val_dir[6098*3 + 2] = 0.843696f;
 	val_dir[6099*3 + 0] = -0.271791f;	val_dir[6099*3 + 1] = 0.469458f;	val_dir[6099*3 + 2] = 0.840083f;
 	val_dir[6100*3 + 0] = -0.245737f;	val_dir[6100*3 + 1] = 0.491473f;	val_dir[6100*3 + 2] = 0.835504f;
 	val_dir[6101*3 + 0] = -0.219708f;	val_dir[6101*3 + 1] = 0.512653f;	val_dir[6101*3 + 2] = 0.830009f;
 	val_dir[6102*3 + 0] = -0.193801f;	val_dir[6102*3 + 1] = 0.532952f;	val_dir[6102*3 + 2] = 0.823653f;
 	val_dir[6103*3 + 0] = -0.168102f;	val_dir[6103*3 + 1] = 0.552336f;	val_dir[6103*3 + 2] = 0.816497f;
 	val_dir[6104*3 + 0] = -0.142695f;	val_dir[6104*3 + 1] = 0.570782f;	val_dir[6104*3 + 2] = 0.808608f;
 	val_dir[6105*3 + 0] = -0.117655f;	val_dir[6105*3 + 1] = 0.588276f;	val_dir[6105*3 + 2] = 0.800055f;
 	val_dir[6106*3 + 0] = -0.093048f;	val_dir[6106*3 + 1] = 0.604815f;	val_dir[6106*3 + 2] = 0.790912f;
 	val_dir[6107*3 + 0] = -0.068934f;	val_dir[6107*3 + 1] = 0.620403f;	val_dir[6107*3 + 2] = 0.781248f;
 	val_dir[6108*3 + 0] = -0.045361f;	val_dir[6108*3 + 1] = 0.635053f;	val_dir[6108*3 + 2] = 0.771136f;
 	val_dir[6109*3 + 0] = -0.022372f;	val_dir[6109*3 + 1] = 0.648784f;	val_dir[6109*3 + 2] = 0.760644f;
 	val_dir[6110*3 + 0] = 0.0f;	val_dir[6110*3 + 1] = 0.661622f;	val_dir[6110*3 + 2] = 0.749838f;
 	val_dir[6111*3 + 0] = 0.022439f;	val_dir[6111*3 + 1] = 0.695620f;	val_dir[6111*3 + 2] = 0.718059f;
 	val_dir[6112*3 + 0] = 0.045549f;	val_dir[6112*3 + 1] = 0.728780f;	val_dir[6112*3 + 2] = 0.683231f;
 	val_dir[6113*3 + 0] = 0.069153f;	val_dir[6113*3 + 1] = 0.760684f;	val_dir[6113*3 + 2] = 0.645429f;
 	val_dir[6114*3 + 0] = 0.093048f;	val_dir[6114*3 + 1] = 0.790912f;	val_dir[6114*3 + 2] = 0.604815f;
 	val_dir[6115*3 + 0] = 0.117009f;	val_dir[6115*3 + 1] = 0.819064f;	val_dir[6115*3 + 2] = 0.561644f;
 	val_dir[6116*3 + 0] = 0.140797f;	val_dir[6116*3 + 1] = 0.844782f;	val_dir[6116*3 + 2] = 0.516256f;
 	val_dir[6117*3 + 0] = 0.164173f;	val_dir[6117*3 + 1] = 0.867770f;	val_dir[6117*3 + 2] = 0.469065f;
 	val_dir[6118*3 + 0] = 0.186908f;	val_dir[6118*3 + 1] = 0.887812f;	val_dir[6118*3 + 2] = 0.420542f;
 	val_dir[6119*3 + 0] = 0.208795f;	val_dir[6119*3 + 1] = 0.904777f;	val_dir[6119*3 + 2] = 0.371191f;
 	val_dir[6120*3 + 0] = 0.229658f;	val_dir[6120*3 + 1] = 0.918630f;	val_dir[6120*3 + 2] = 0.321521f;
 	val_dir[6121*3 + 0] = 0.249357f;	val_dir[6121*3 + 1] = 0.929421f;	val_dir[6121*3 + 2] = 0.272026f;
 	val_dir[6122*3 + 0] = 0.267793f;	val_dir[6122*3 + 1] = 0.937276f;	val_dir[6122*3 + 2] = 0.223161f;
 	val_dir[6123*3 + 0] = 0.284907f;	val_dir[6123*3 + 1] = 0.942384f;	val_dir[6123*3 + 2] = 0.175327f;
 	val_dir[6124*3 + 0] = 0.300676f;	val_dir[6124*3 + 1] = 0.944981f;	val_dir[6124*3 + 2] = 0.128861f;
 	val_dir[6125*3 + 0] = 0.315109f;	val_dir[6125*3 + 1] = 0.945328f;	val_dir[6125*3 + 2] = 0.084029f;
 	val_dir[6126*3 + 0] = 0.328244f;	val_dir[6126*3 + 1] = 0.943701f;	val_dir[6126*3 + 2] = 0.041030f;
 	val_dir[6127*3 + 0] = 0.340136f;	val_dir[6127*3 + 1] = 0.940376f;	val_dir[6127*3 + 2] = 0.0f;
 	val_dir[6128*3 + 0] = -0.946458f;	val_dir[6128*3 + 1] = -0.322198f;	val_dir[6128*3 + 2] = 0.020137f;
 	val_dir[6129*3 + 0] = -0.948908f;	val_dir[6129*3 + 1] = -0.309426f;	val_dir[6129*3 + 2] = 0.061885f;
 	val_dir[6130*3 + 0] = -0.949528f;	val_dir[6130*3 + 1] = -0.295409f;	val_dir[6130*3 + 2] = 0.105503f;
 	val_dir[6131*3 + 0] = -0.948047f;	val_dir[6131*3 + 1] = -0.280105f;	val_dir[6131*3 + 2] = 0.150826f;
 	val_dir[6132*3 + 0] = -0.94420f;	val_dir[6132*3 + 1] = -0.263498f;	val_dir[6132*3 + 2] = 0.197623f;
 	val_dir[6133*3 + 0] = -0.937743f;	val_dir[6133*3 + 1] = -0.245599f;	val_dir[6133*3 + 2] = 0.245599f;
 	val_dir[6134*3 + 0] = -0.928467f;	val_dir[6134*3 + 1] = -0.226455f;	val_dir[6134*3 + 2] = 0.294392f;
 	val_dir[6135*3 + 0] = -0.916217f;	val_dir[6135*3 + 1] = -0.206149f;	val_dir[6135*3 + 2] = 0.343582f;
 	val_dir[6136*3 + 0] = -0.900907f;	val_dir[6136*3 + 1] = -0.184801f;	val_dir[6136*3 + 2] = 0.392703f;
 	val_dir[6137*3 + 0] = -0.882528f;	val_dir[6137*3 + 1] = -0.162571f;	val_dir[6137*3 + 2] = 0.441264f;
 	val_dir[6138*3 + 0] = -0.861164f;	val_dir[6138*3 + 1] = -0.139648f;	val_dir[6138*3 + 2] = 0.488769f;
 	val_dir[6139*3 + 0] = -0.836983f;	val_dir[6139*3 + 1] = -0.116248f;	val_dir[6139*3 + 2] = 0.534739f;
 	val_dir[6140*3 + 0] = -0.810237f;	val_dir[6140*3 + 1] = -0.092599f;	val_dir[6140*3 + 2] = 0.578741f;
 	val_dir[6141*3 + 0] = -0.781248f;	val_dir[6141*3 + 1] = -0.068934f;	val_dir[6141*3 + 2] = 0.620403f;
 	val_dir[6142*3 + 0] = -0.750388f;	val_dir[6142*3 + 1] = -0.045478f;	val_dir[6142*3 + 2] = 0.659432f;
 	val_dir[6143*3 + 0] = -0.718059f;	val_dir[6143*3 + 1] = -0.022439f;	val_dir[6143*3 + 2] = 0.695620f;
 	val_dir[6144*3 + 0] = -0.684675f;	val_dir[6144*3 + 1] = 0.0f;	val_dir[6144*3 + 2] = 0.728848f;
 	val_dir[6145*3 + 0] = -0.672504f;	val_dir[6145*3 + 1] = 0.022417f;	val_dir[6145*3 + 2] = 0.739754f;
 	val_dir[6146*3 + 0] = -0.659432f;	val_dir[6146*3 + 1] = 0.045478f;	val_dir[6146*3 + 2] = 0.750388f;
 	val_dir[6147*3 + 0] = -0.645429f;	val_dir[6147*3 + 1] = 0.069153f;	val_dir[6147*3 + 2] = 0.760684f;
 	val_dir[6148*3 + 0] = -0.630470f;	val_dir[6148*3 + 1] = 0.093403f;	val_dir[6148*3 + 2] = 0.770574f;
 	val_dir[6149*3 + 0] = -0.614535f;	val_dir[6149*3 + 1] = 0.118180f;	val_dir[6149*3 + 2] = 0.779987f;
 	val_dir[6150*3 + 0] = -0.597614f;	val_dir[6150*3 + 1] = 0.143427f;	val_dir[6150*3 + 2] = 0.788851f;
 	val_dir[6151*3 + 0] = -0.579703f;	val_dir[6151*3 + 1] = 0.169080f;	val_dir[6151*3 + 2] = 0.797092f;
 	val_dir[6152*3 + 0] = -0.560809f;	val_dir[6152*3 + 1] = 0.195064f;	val_dir[6152*3 + 2] = 0.804639f;
 	val_dir[6153*3 + 0] = -0.540947f;	val_dir[6153*3 + 1] = 0.221297f;	val_dir[6153*3 + 2] = 0.811421f;
 	val_dir[6154*3 + 0] = -0.520146f;	val_dir[6154*3 + 1] = 0.247689f;	val_dir[6154*3 + 2] = 0.817373f;
 	val_dir[6155*3 + 0] = -0.498445f;	val_dir[6155*3 + 1] = 0.274145f;	val_dir[6155*3 + 2] = 0.822434f;
 	val_dir[6156*3 + 0] = -0.475893f;	val_dir[6156*3 + 1] = 0.300564f;	val_dir[6156*3 + 2] = 0.826551f;
 	val_dir[6157*3 + 0] = -0.452553f;	val_dir[6157*3 + 1] = 0.326844f;	val_dir[6157*3 + 2] = 0.829680f;
 	val_dir[6158*3 + 0] = -0.428496f;	val_dir[6158*3 + 1] = 0.352879f;	val_dir[6158*3 + 2] = 0.831786f;
 	val_dir[6159*3 + 0] = -0.403804f;	val_dir[6159*3 + 1] = 0.378566f;	val_dir[6159*3 + 2] = 0.832845f;
 	val_dir[6160*3 + 0] = -0.378566f;	val_dir[6160*3 + 1] = 0.403804f;	val_dir[6160*3 + 2] = 0.832845f;
 	val_dir[6161*3 + 0] = -0.352879f;	val_dir[6161*3 + 1] = 0.428496f;	val_dir[6161*3 + 2] = 0.831786f;
 	val_dir[6162*3 + 0] = -0.326844f;	val_dir[6162*3 + 1] = 0.452553f;	val_dir[6162*3 + 2] = 0.829680f;
 	val_dir[6163*3 + 0] = -0.300564f;	val_dir[6163*3 + 1] = 0.475893f;	val_dir[6163*3 + 2] = 0.826551f;
 	val_dir[6164*3 + 0] = -0.274145f;	val_dir[6164*3 + 1] = 0.498445f;	val_dir[6164*3 + 2] = 0.822434f;
 	val_dir[6165*3 + 0] = -0.247689f;	val_dir[6165*3 + 1] = 0.520146f;	val_dir[6165*3 + 2] = 0.817373f;
 	val_dir[6166*3 + 0] = -0.221297f;	val_dir[6166*3 + 1] = 0.540947f;	val_dir[6166*3 + 2] = 0.811421f;
 	val_dir[6167*3 + 0] = -0.195064f;	val_dir[6167*3 + 1] = 0.560809f;	val_dir[6167*3 + 2] = 0.804639f;
 	val_dir[6168*3 + 0] = -0.169080f;	val_dir[6168*3 + 1] = 0.579703f;	val_dir[6168*3 + 2] = 0.797092f;
 	val_dir[6169*3 + 0] = -0.143427f;	val_dir[6169*3 + 1] = 0.597614f;	val_dir[6169*3 + 2] = 0.788851f;
 	val_dir[6170*3 + 0] = -0.118180f;	val_dir[6170*3 + 1] = 0.614535f;	val_dir[6170*3 + 2] = 0.779987f;
 	val_dir[6171*3 + 0] = -0.093403f;	val_dir[6171*3 + 1] = 0.630470f;	val_dir[6171*3 + 2] = 0.770574f;
 	val_dir[6172*3 + 0] = -0.069153f;	val_dir[6172*3 + 1] = 0.645429f;	val_dir[6172*3 + 2] = 0.760684f;
 	val_dir[6173*3 + 0] = -0.045478f;	val_dir[6173*3 + 1] = 0.659432f;	val_dir[6173*3 + 2] = 0.750388f;
 	val_dir[6174*3 + 0] = -0.022417f;	val_dir[6174*3 + 1] = 0.672504f;	val_dir[6174*3 + 2] = 0.739754f;
 	val_dir[6175*3 + 0] = 0.0f;	val_dir[6175*3 + 1] = 0.684675f;	val_dir[6175*3 + 2] = 0.728848f;
 	val_dir[6176*3 + 0] = 0.022439f;	val_dir[6176*3 + 1] = 0.718059f;	val_dir[6176*3 + 2] = 0.695620f;
 	val_dir[6177*3 + 0] = 0.045478f;	val_dir[6177*3 + 1] = 0.750388f;	val_dir[6177*3 + 2] = 0.659432f;
 	val_dir[6178*3 + 0] = 0.068934f;	val_dir[6178*3 + 1] = 0.781248f;	val_dir[6178*3 + 2] = 0.620403f;
 	val_dir[6179*3 + 0] = 0.092599f;	val_dir[6179*3 + 1] = 0.810237f;	val_dir[6179*3 + 2] = 0.578741f;
 	val_dir[6180*3 + 0] = 0.116248f;	val_dir[6180*3 + 1] = 0.836983f;	val_dir[6180*3 + 2] = 0.534739f;
 	val_dir[6181*3 + 0] = 0.139648f;	val_dir[6181*3 + 1] = 0.861164f;	val_dir[6181*3 + 2] = 0.488769f;
 	val_dir[6182*3 + 0] = 0.162571f;	val_dir[6182*3 + 1] = 0.882528f;	val_dir[6182*3 + 2] = 0.441264f;
 	val_dir[6183*3 + 0] = 0.184801f;	val_dir[6183*3 + 1] = 0.900907f;	val_dir[6183*3 + 2] = 0.392703f;
 	val_dir[6184*3 + 0] = 0.206149f;	val_dir[6184*3 + 1] = 0.916217f;	val_dir[6184*3 + 2] = 0.343582f;
 	val_dir[6185*3 + 0] = 0.226455f;	val_dir[6185*3 + 1] = 0.928467f;	val_dir[6185*3 + 2] = 0.294392f;
 	val_dir[6186*3 + 0] = 0.245599f;	val_dir[6186*3 + 1] = 0.937743f;	val_dir[6186*3 + 2] = 0.245599f;
 	val_dir[6187*3 + 0] = 0.263498f;	val_dir[6187*3 + 1] = 0.94420f;	val_dir[6187*3 + 2] = 0.197623f;
 	val_dir[6188*3 + 0] = 0.280105f;	val_dir[6188*3 + 1] = 0.948047f;	val_dir[6188*3 + 2] = 0.150826f;
 	val_dir[6189*3 + 0] = 0.295409f;	val_dir[6189*3 + 1] = 0.949528f;	val_dir[6189*3 + 2] = 0.105503f;
 	val_dir[6190*3 + 0] = 0.309426f;	val_dir[6190*3 + 1] = 0.948908f;	val_dir[6190*3 + 2] = 0.061885f;
 	val_dir[6191*3 + 0] = 0.322198f;	val_dir[6191*3 + 1] = 0.946458f;	val_dir[6191*3 + 2] = 0.020137f;
 	val_dir[6192*3 + 0] = -0.948683f;	val_dir[6192*3 + 1] = -0.316228f;	val_dir[6192*3 + 2] = 0.0f;
 	val_dir[6193*3 + 0] = -0.951877f;	val_dir[6193*3 + 1] = -0.303791f;	val_dir[6193*3 + 2] = 0.040505f;
 	val_dir[6194*3 + 0] = -0.953381f;	val_dir[6194*3 + 1] = -0.290159f;	val_dir[6194*3 + 2] = 0.082903f;
 	val_dir[6195*3 + 0] = -0.952928f;	val_dir[6195*3 + 1] = -0.275290f;	val_dir[6195*3 + 2] = 0.127057f;
 	val_dir[6196*3 + 0] = -0.950255f;	val_dir[6196*3 + 1] = -0.259161f;	val_dir[6196*3 + 2] = 0.172774f;
 	val_dir[6197*3 + 0] = -0.945112f;	val_dir[6197*3 + 1] = -0.241773f;	val_dir[6197*3 + 2] = 0.219793f;
 	val_dir[6198*3 + 0] = -0.937276f;	val_dir[6198*3 + 1] = -0.223161f;	val_dir[6198*3 + 2] = 0.267793f;
 	val_dir[6199*3 + 0] = -0.926568f;	val_dir[6199*3 + 1] = -0.203393f;	val_dir[6199*3 + 2] = 0.316389f;
 	val_dir[6200*3 + 0] = -0.912871f;	val_dir[6200*3 + 1] = -0.182574f;	val_dir[6200*3 + 2] = 0.365148f;
 	val_dir[6201*3 + 0] = -0.896137f;	val_dir[6201*3 + 1] = -0.160845f;	val_dir[6201*3 + 2] = 0.413602f;
 	val_dir[6202*3 + 0] = -0.876405f;	val_dir[6202*3 + 1] = -0.138380f;	val_dir[6202*3 + 2] = 0.461266f;
 	val_dir[6203*3 + 0] = -0.853796f;	val_dir[6203*3 + 1] = -0.115378f;	val_dir[6203*3 + 2] = 0.507662f;
 	val_dir[6204*3 + 0] = -0.828517f;	val_dir[6204*3 + 1] = -0.092057f;	val_dir[6204*3 + 2] = 0.552345f;
 	val_dir[6205*3 + 0] = -0.800850f;	val_dir[6205*3 + 1] = -0.068644f;	val_dir[6205*3 + 2] = 0.594917f;
 	val_dir[6206*3 + 0] = -0.771136f;	val_dir[6206*3 + 1] = -0.045361f;	val_dir[6206*3 + 2] = 0.635053f;
 	val_dir[6207*3 + 0] = -0.739754f;	val_dir[6207*3 + 1] = -0.022417f;	val_dir[6207*3 + 2] = 0.672504f;
 	val_dir[6208*3 + 0] = -0.707107f;	val_dir[6208*3 + 1] = 0.0f;	val_dir[6208*3 + 2] = 0.707107f;
 	val_dir[6209*3 + 0] = -0.695620f;	val_dir[6209*3 + 1] = 0.022439f;	val_dir[6209*3 + 2] = 0.718059f;
 	val_dir[6210*3 + 0] = -0.683231f;	val_dir[6210*3 + 1] = 0.045549f;	val_dir[6210*3 + 2] = 0.728780f;
 	val_dir[6211*3 + 0] = -0.669905f;	val_dir[6211*3 + 1] = 0.069301f;	val_dir[6211*3 + 2] = 0.739205f;
 	val_dir[6212*3 + 0] = -0.655610f;	val_dir[6212*3 + 1] = 0.093659f;	val_dir[6212*3 + 2] = 0.749269f;
 	val_dir[6213*3 + 0] = -0.640321f;	val_dir[6213*3 + 1] = 0.118578f;	val_dir[6213*3 + 2] = 0.758899f;
 	val_dir[6214*3 + 0] = -0.624020f;	val_dir[6214*3 + 1] = 0.144005f;	val_dir[6214*3 + 2] = 0.768025f;
 	val_dir[6215*3 + 0] = -0.606696f;	val_dir[6215*3 + 1] = 0.169875f;	val_dir[6215*3 + 2] = 0.776571f;
 	val_dir[6216*3 + 0] = -0.588348f;	val_dir[6216*3 + 1] = 0.196116f;	val_dir[6216*3 + 2] = 0.784465f;
 	val_dir[6217*3 + 0] = -0.568986f;	val_dir[6217*3 + 1] = 0.222647f;	val_dir[6217*3 + 2] = 0.791633f;
 	val_dir[6218*3 + 0] = -0.548630f;	val_dir[6218*3 + 1] = 0.249377f;	val_dir[6218*3 + 2] = 0.798007f;
 	val_dir[6219*3 + 0] = -0.527312f;	val_dir[6219*3 + 1] = 0.276211f;	val_dir[6219*3 + 2] = 0.803523f;
 	val_dir[6220*3 + 0] = -0.505076f;	val_dir[6220*3 + 1] = 0.303046f;	val_dir[6220*3 + 2] = 0.808122f;
 	val_dir[6221*3 + 0] = -0.481979f;	val_dir[6221*3 + 1] = 0.329775f;	val_dir[6221*3 + 2] = 0.811754f;
 	val_dir[6222*3 + 0] = -0.458088f;	val_dir[6222*3 + 1] = 0.356291f;	val_dir[6222*3 + 2] = 0.814379f;
 	val_dir[6223*3 + 0] = -0.433482f;	val_dir[6223*3 + 1] = 0.382484f;	val_dir[6223*3 + 2] = 0.815966f;
 	val_dir[6224*3 + 0] = -0.408248f;	val_dir[6224*3 + 1] = 0.408248f;	val_dir[6224*3 + 2] = 0.816497f;
 	val_dir[6225*3 + 0] = -0.382484f;	val_dir[6225*3 + 1] = 0.433482f;	val_dir[6225*3 + 2] = 0.815966f;
 	val_dir[6226*3 + 0] = -0.356291f;	val_dir[6226*3 + 1] = 0.458088f;	val_dir[6226*3 + 2] = 0.814379f;
 	val_dir[6227*3 + 0] = -0.329775f;	val_dir[6227*3 + 1] = 0.481979f;	val_dir[6227*3 + 2] = 0.811754f;
 	val_dir[6228*3 + 0] = -0.303046f;	val_dir[6228*3 + 1] = 0.505076f;	val_dir[6228*3 + 2] = 0.808122f;
 	val_dir[6229*3 + 0] = -0.276211f;	val_dir[6229*3 + 1] = 0.527312f;	val_dir[6229*3 + 2] = 0.803523f;
 	val_dir[6230*3 + 0] = -0.249377f;	val_dir[6230*3 + 1] = 0.548630f;	val_dir[6230*3 + 2] = 0.798007f;
 	val_dir[6231*3 + 0] = -0.222647f;	val_dir[6231*3 + 1] = 0.568986f;	val_dir[6231*3 + 2] = 0.791633f;
 	val_dir[6232*3 + 0] = -0.196116f;	val_dir[6232*3 + 1] = 0.588348f;	val_dir[6232*3 + 2] = 0.784465f;
 	val_dir[6233*3 + 0] = -0.169875f;	val_dir[6233*3 + 1] = 0.606696f;	val_dir[6233*3 + 2] = 0.776571f;
 	val_dir[6234*3 + 0] = -0.144005f;	val_dir[6234*3 + 1] = 0.624020f;	val_dir[6234*3 + 2] = 0.768025f;
 	val_dir[6235*3 + 0] = -0.118578f;	val_dir[6235*3 + 1] = 0.640321f;	val_dir[6235*3 + 2] = 0.758899f;
 	val_dir[6236*3 + 0] = -0.093659f;	val_dir[6236*3 + 1] = 0.655610f;	val_dir[6236*3 + 2] = 0.749269f;
 	val_dir[6237*3 + 0] = -0.069301f;	val_dir[6237*3 + 1] = 0.669905f;	val_dir[6237*3 + 2] = 0.739205f;
 	val_dir[6238*3 + 0] = -0.045549f;	val_dir[6238*3 + 1] = 0.683231f;	val_dir[6238*3 + 2] = 0.728780f;
 	val_dir[6239*3 + 0] = -0.022439f;	val_dir[6239*3 + 1] = 0.695620f;	val_dir[6239*3 + 2] = 0.718059f;
 	val_dir[6240*3 + 0] = 0.0f;	val_dir[6240*3 + 1] = 0.707107f;	val_dir[6240*3 + 2] = 0.707107f;
 	val_dir[6241*3 + 0] = 0.022417f;	val_dir[6241*3 + 1] = 0.739754f;	val_dir[6241*3 + 2] = 0.672504f;
 	val_dir[6242*3 + 0] = 0.045361f;	val_dir[6242*3 + 1] = 0.771136f;	val_dir[6242*3 + 2] = 0.635053f;
 	val_dir[6243*3 + 0] = 0.068644f;	val_dir[6243*3 + 1] = 0.800850f;	val_dir[6243*3 + 2] = 0.594917f;
 	val_dir[6244*3 + 0] = 0.092057f;	val_dir[6244*3 + 1] = 0.828517f;	val_dir[6244*3 + 2] = 0.552345f;
 	val_dir[6245*3 + 0] = 0.115378f;	val_dir[6245*3 + 1] = 0.853796f;	val_dir[6245*3 + 2] = 0.507662f;
 	val_dir[6246*3 + 0] = 0.138380f;	val_dir[6246*3 + 1] = 0.876405f;	val_dir[6246*3 + 2] = 0.461266f;
 	val_dir[6247*3 + 0] = 0.160845f;	val_dir[6247*3 + 1] = 0.896137f;	val_dir[6247*3 + 2] = 0.413602f;
 	val_dir[6248*3 + 0] = 0.182574f;	val_dir[6248*3 + 1] = 0.912871f;	val_dir[6248*3 + 2] = 0.365148f;
 	val_dir[6249*3 + 0] = 0.203393f;	val_dir[6249*3 + 1] = 0.926568f;	val_dir[6249*3 + 2] = 0.316389f;
 	val_dir[6250*3 + 0] = 0.223161f;	val_dir[6250*3 + 1] = 0.937276f;	val_dir[6250*3 + 2] = 0.267793f;
 	val_dir[6251*3 + 0] = 0.241773f;	val_dir[6251*3 + 1] = 0.945112f;	val_dir[6251*3 + 2] = 0.219793f;
 	val_dir[6252*3 + 0] = 0.259161f;	val_dir[6252*3 + 1] = 0.950255f;	val_dir[6252*3 + 2] = 0.172774f;
 	val_dir[6253*3 + 0] = 0.275290f;	val_dir[6253*3 + 1] = 0.952928f;	val_dir[6253*3 + 2] = 0.127057f;
 	val_dir[6254*3 + 0] = 0.290159f;	val_dir[6254*3 + 1] = 0.953381f;	val_dir[6254*3 + 2] = 0.082903f;
 	val_dir[6255*3 + 0] = 0.303791f;	val_dir[6255*3 + 1] = 0.951877f;	val_dir[6255*3 + 2] = 0.040505f;
 	val_dir[6256*3 + 0] = 0.316228f;	val_dir[6256*3 + 1] = 0.948683f;	val_dir[6256*3 + 2] = 0.0f;
 	val_dir[6257*3 + 0] = -0.954291f;	val_dir[6257*3 + 1] = -0.298216f;	val_dir[6257*3 + 2] = 0.019881f;
 	val_dir[6258*3 + 0] = -0.956597f;	val_dir[6258*3 + 1] = -0.284944f;	val_dir[6258*3 + 2] = 0.061059f;
 	val_dir[6259*3 + 0] = -0.957088f;	val_dir[6259*3 + 1] = -0.270481f;	val_dir[6259*3 + 2] = 0.104031f;
 	val_dir[6260*3 + 0] = -0.955502f;	val_dir[6260*3 + 1] = -0.254801f;	val_dir[6260*3 + 2] = 0.148634f;
 	val_dir[6261*3 + 0] = -0.951588f;	val_dir[6261*3 + 1] = -0.237897f;	val_dir[6261*3 + 2] = 0.194643f;
 	val_dir[6262*3 + 0] = -0.945112f;	val_dir[6262*3 + 1] = -0.219793f;	val_dir[6262*3 + 2] = 0.241773f;
 	val_dir[6263*3 + 0] = -0.935879f;	val_dir[6263*3 + 1] = -0.200545f;	val_dir[6263*3 + 2] = 0.289677f;
 	val_dir[6264*3 + 0] = -0.923742f;	val_dir[6264*3 + 1] = -0.180242f;	val_dir[6264*3 + 2] = 0.337954f;
 	val_dir[6265*3 + 0] = -0.908622f;	val_dir[6265*3 + 1] = -0.159009f;	val_dir[6265*3 + 2] = 0.386164f;
 	val_dir[6266*3 + 0] = -0.890513f;	val_dir[6266*3 + 1] = -0.137002f;	val_dir[6266*3 + 2] = 0.433840f;
 	val_dir[6267*3 + 0] = -0.869495f;	val_dir[6267*3 + 1] = -0.114407f;	val_dir[6267*3 + 2] = 0.480510f;
 	val_dir[6268*3 + 0] = -0.845728f;	val_dir[6268*3 + 1] = -0.091430f;	val_dir[6268*3 + 2] = 0.525723f;
 	val_dir[6269*3 + 0] = -0.819453f;	val_dir[6269*3 + 1] = -0.068288f;	val_dir[6269*3 + 2] = 0.569064f;
 	val_dir[6270*3 + 0] = -0.790973f;	val_dir[6270*3 + 1] = -0.045198f;	val_dir[6270*3 + 2] = 0.610179f;
 	val_dir[6271*3 + 0] = -0.760644f;	val_dir[6271*3 + 1] = -0.022372f;	val_dir[6271*3 + 2] = 0.648784f;
 	val_dir[6272*3 + 0] = -0.728848f;	val_dir[6272*3 + 1] = 0.0f;	val_dir[6272*3 + 2] = 0.684675f;
 	val_dir[6273*3 + 0] = -0.718059f;	val_dir[6273*3 + 1] = 0.022439f;	val_dir[6273*3 + 2] = 0.695620f;
 	val_dir[6274*3 + 0] = -0.706372f;	val_dir[6274*3 + 1] = 0.045572f;	val_dir[6274*3 + 2] = 0.706372f;
 	val_dir[6275*3 + 0] = -0.693746f;	val_dir[6275*3 + 1] = 0.069375f;	val_dir[6275*3 + 2] = 0.716871f;
 	val_dir[6276*3 + 0] = -0.680144f;	val_dir[6276*3 + 1] = 0.093813f;	val_dir[6276*3 + 2] = 0.727051f;
 	val_dir[6277*3 + 0] = -0.665536f;	val_dir[6277*3 + 1] = 0.118846f;	val_dir[6277*3 + 2] = 0.736843f;
 	val_dir[6278*3 + 0] = -0.649895f;	val_dir[6278*3 + 1] = 0.144421f;	val_dir[6278*3 + 2] = 0.746176f;
 	val_dir[6279*3 + 0] = -0.633205f;	val_dir[6279*3 + 1] = 0.170478f;	val_dir[6279*3 + 2] = 0.754976f;
 	val_dir[6280*3 + 0] = -0.615457f;	val_dir[6280*3 + 1] = 0.196946f;	val_dir[6280*3 + 2] = 0.763167f;
 	val_dir[6281*3 + 0] = -0.596653f;	val_dir[6281*3 + 1] = 0.223745f;	val_dir[6281*3 + 2] = 0.770677f;
 	val_dir[6282*3 + 0] = -0.576805f;	val_dir[6282*3 + 1] = 0.250785f;	val_dir[6282*3 + 2] = 0.777433f;
 	val_dir[6283*3 + 0] = -0.555939f;	val_dir[6283*3 + 1] = 0.277969f;	val_dir[6283*3 + 2] = 0.783368f;
 	val_dir[6284*3 + 0] = -0.534090f;	val_dir[6284*3 + 1] = 0.305194f;	val_dir[6284*3 + 2] = 0.788419f;
 	val_dir[6285*3 + 0] = -0.511310f;	val_dir[6285*3 + 1] = 0.332352f;	val_dir[6285*3 + 2] = 0.792530f;
 	val_dir[6286*3 + 0] = -0.487661f;	val_dir[6286*3 + 1] = 0.359329f;	val_dir[6286*3 + 2] = 0.795657f;
 	val_dir[6287*3 + 0] = -0.463217f;	val_dir[6287*3 + 1] = 0.386014f;	val_dir[6287*3 + 2] = 0.797762f;
 	val_dir[6288*3 + 0] = -0.438063f;	val_dir[6288*3 + 1] = 0.412294f;	val_dir[6288*3 + 2] = 0.798820f;
 	val_dir[6289*3 + 0] = -0.412294f;	val_dir[6289*3 + 1] = 0.438063f;	val_dir[6289*3 + 2] = 0.798820f;
 	val_dir[6290*3 + 0] = -0.386014f;	val_dir[6290*3 + 1] = 0.463217f;	val_dir[6290*3 + 2] = 0.797762f;
 	val_dir[6291*3 + 0] = -0.359329f;	val_dir[6291*3 + 1] = 0.487661f;	val_dir[6291*3 + 2] = 0.795657f;
 	val_dir[6292*3 + 0] = -0.332352f;	val_dir[6292*3 + 1] = 0.511310f;	val_dir[6292*3 + 2] = 0.792530f;
 	val_dir[6293*3 + 0] = -0.305194f;	val_dir[6293*3 + 1] = 0.534090f;	val_dir[6293*3 + 2] = 0.788419f;
 	val_dir[6294*3 + 0] = -0.277969f;	val_dir[6294*3 + 1] = 0.555939f;	val_dir[6294*3 + 2] = 0.783368f;
 	val_dir[6295*3 + 0] = -0.250785f;	val_dir[6295*3 + 1] = 0.576805f;	val_dir[6295*3 + 2] = 0.777433f;
 	val_dir[6296*3 + 0] = -0.223745f;	val_dir[6296*3 + 1] = 0.596653f;	val_dir[6296*3 + 2] = 0.770677f;
 	val_dir[6297*3 + 0] = -0.196946f;	val_dir[6297*3 + 1] = 0.615457f;	val_dir[6297*3 + 2] = 0.763167f;
 	val_dir[6298*3 + 0] = -0.170478f;	val_dir[6298*3 + 1] = 0.633205f;	val_dir[6298*3 + 2] = 0.754976f;
 	val_dir[6299*3 + 0] = -0.144421f;	val_dir[6299*3 + 1] = 0.649895f;	val_dir[6299*3 + 2] = 0.746176f;
 	val_dir[6300*3 + 0] = -0.118846f;	val_dir[6300*3 + 1] = 0.665536f;	val_dir[6300*3 + 2] = 0.736843f;
 	val_dir[6301*3 + 0] = -0.093813f;	val_dir[6301*3 + 1] = 0.680144f;	val_dir[6301*3 + 2] = 0.727051f;
 	val_dir[6302*3 + 0] = -0.069375f;	val_dir[6302*3 + 1] = 0.693746f;	val_dir[6302*3 + 2] = 0.716871f;
 	val_dir[6303*3 + 0] = -0.045572f;	val_dir[6303*3 + 1] = 0.706372f;	val_dir[6303*3 + 2] = 0.706372f;
 	val_dir[6304*3 + 0] = -0.022439f;	val_dir[6304*3 + 1] = 0.718059f;	val_dir[6304*3 + 2] = 0.695620f;
 	val_dir[6305*3 + 0] = 0.0f;	val_dir[6305*3 + 1] = 0.728848f;	val_dir[6305*3 + 2] = 0.684675f;
 	val_dir[6306*3 + 0] = 0.022372f;	val_dir[6306*3 + 1] = 0.760644f;	val_dir[6306*3 + 2] = 0.648784f;
 	val_dir[6307*3 + 0] = 0.045198f;	val_dir[6307*3 + 1] = 0.790973f;	val_dir[6307*3 + 2] = 0.610179f;
 	val_dir[6308*3 + 0] = 0.068288f;	val_dir[6308*3 + 1] = 0.819453f;	val_dir[6308*3 + 2] = 0.569064f;
 	val_dir[6309*3 + 0] = 0.091430f;	val_dir[6309*3 + 1] = 0.845728f;	val_dir[6309*3 + 2] = 0.525723f;
 	val_dir[6310*3 + 0] = 0.114407f;	val_dir[6310*3 + 1] = 0.869495f;	val_dir[6310*3 + 2] = 0.480510f;
 	val_dir[6311*3 + 0] = 0.137002f;	val_dir[6311*3 + 1] = 0.890513f;	val_dir[6311*3 + 2] = 0.433840f;
 	val_dir[6312*3 + 0] = 0.159009f;	val_dir[6312*3 + 1] = 0.908622f;	val_dir[6312*3 + 2] = 0.386164f;
 	val_dir[6313*3 + 0] = 0.180242f;	val_dir[6313*3 + 1] = 0.923742f;	val_dir[6313*3 + 2] = 0.337954f;
 	val_dir[6314*3 + 0] = 0.200545f;	val_dir[6314*3 + 1] = 0.935879f;	val_dir[6314*3 + 2] = 0.289677f;
 	val_dir[6315*3 + 0] = 0.219793f;	val_dir[6315*3 + 1] = 0.945112f;	val_dir[6315*3 + 2] = 0.241773f;
 	val_dir[6316*3 + 0] = 0.237897f;	val_dir[6316*3 + 1] = 0.951588f;	val_dir[6316*3 + 2] = 0.194643f;
 	val_dir[6317*3 + 0] = 0.254801f;	val_dir[6317*3 + 1] = 0.955502f;	val_dir[6317*3 + 2] = 0.148634f;
 	val_dir[6318*3 + 0] = 0.270481f;	val_dir[6318*3 + 1] = 0.957088f;	val_dir[6318*3 + 2] = 0.104031f;
 	val_dir[6319*3 + 0] = 0.284944f;	val_dir[6319*3 + 1] = 0.956597f;	val_dir[6319*3 + 2] = 0.061059f;
 	val_dir[6320*3 + 0] = 0.298216f;	val_dir[6320*3 + 1] = 0.954291f;	val_dir[6320*3 + 2] = 0.019881f;
 	val_dir[6321*3 + 0] = -0.95620f;	val_dir[6321*3 + 1] = -0.292714f;	val_dir[6321*3 + 2] = 0.0f;
 	val_dir[6322*3 + 0] = -0.959233f;	val_dir[6322*3 + 1] = -0.279776f;	val_dir[6322*3 + 2] = 0.039968f;
 	val_dir[6323*3 + 0] = -0.960585f;	val_dir[6323*3 + 1] = -0.265694f;	val_dir[6323*3 + 2] = 0.081752f;
 	val_dir[6324*3 + 0] = -0.960001f;	val_dir[6324*3 + 1] = -0.250435f;	val_dir[6324*3 + 2] = 0.125218f;
 	val_dir[6325*3 + 0] = -0.957230f;	val_dir[6325*3 + 1] = -0.233990f;	val_dir[6325*3 + 2] = 0.170174f;
 	val_dir[6326*3 + 0] = -0.952033f;	val_dir[6326*3 + 1] = -0.216371f;	val_dir[6326*3 + 2] = 0.216371f;
 	val_dir[6327*3 + 0] = -0.94420f;	val_dir[6327*3 + 1] = -0.197623f;	val_dir[6327*3 + 2] = 0.263498f;
 	val_dir[6328*3 + 0] = -0.933564f;	val_dir[6328*3 + 1] = -0.177822f;	val_dir[6328*3 + 2] = 0.311188f;
 	val_dir[6329*3 + 0] = -0.920014f;	val_dir[6329*3 + 1] = -0.157075f;	val_dir[6329*3 + 2] = 0.359030f;
 	val_dir[6330*3 + 0] = -0.903508f;	val_dir[6330*3 + 1] = -0.135526f;	val_dir[6330*3 + 2] = 0.406579f;
 	val_dir[6331*3 + 0] = -0.884083f;	val_dir[6331*3 + 1] = -0.113344f;	val_dir[6331*3 + 2] = 0.453376f;
 	val_dir[6332*3 + 0] = -0.861857f;	val_dir[6332*3 + 1] = -0.090722f;	val_dir[6332*3 + 2] = 0.498970f;
 	val_dir[6333*3 + 0] = -0.837027f;	val_dir[6333*3 + 1] = -0.067867f;	val_dir[6333*3 + 2] = 0.542936f;
 	val_dir[6334*3 + 0] = -0.809858f;	val_dir[6334*3 + 1] = -0.044992f;	val_dir[6334*3 + 2] = 0.584898f;
 	val_dir[6335*3 + 0] = -0.780675f;	val_dir[6335*3 + 1] = -0.022305f;	val_dir[6335*3 + 2] = 0.624540f;
 	val_dir[6336*3 + 0] = -0.749838f;	val_dir[6336*3 + 1] = 0.0f;	val_dir[6336*3 + 2] = 0.661622f;
 	val_dir[6337*3 + 0] = -0.739754f;	val_dir[6337*3 + 1] = 0.022417f;	val_dir[6337*3 + 2] = 0.672504f;
 	val_dir[6338*3 + 0] = -0.728780f;	val_dir[6338*3 + 1] = 0.045549f;	val_dir[6338*3 + 2] = 0.683231f;
 	val_dir[6339*3 + 0] = -0.716871f;	val_dir[6339*3 + 1] = 0.069375f;	val_dir[6339*3 + 2] = 0.693746f;
 	val_dir[6340*3 + 0] = -0.703985f;	val_dir[6340*3 + 1] = 0.093865f;	val_dir[6340*3 + 2] = 0.703985f;
 	val_dir[6341*3 + 0] = -0.690085f;	val_dir[6341*3 + 1] = 0.118980f;	val_dir[6341*3 + 2] = 0.713881f;
 	val_dir[6342*3 + 0] = -0.675140f;	val_dir[6342*3 + 1] = 0.144673f;	val_dir[6342*3 + 2] = 0.723364f;
 	val_dir[6343*3 + 0] = -0.659125f;	val_dir[6343*3 + 1] = 0.170884f;	val_dir[6343*3 + 2] = 0.732361f;
 	val_dir[6344*3 + 0] = -0.642024f;	val_dir[6344*3 + 1] = 0.197546f;	val_dir[6344*3 + 2] = 0.740797f;
 	val_dir[6345*3 + 0] = -0.623831f;	val_dir[6345*3 + 1] = 0.224579f;	val_dir[6345*3 + 2] = 0.748598f;
 	val_dir[6346*3 + 0] = -0.604551f;	val_dir[6346*3 + 1] = 0.251896f;	val_dir[6346*3 + 2] = 0.755689f;
 	val_dir[6347*3 + 0] = -0.584201f;	val_dir[6347*3 + 1] = 0.27940f;	val_dir[6347*3 + 2] = 0.762001f;
 	val_dir[6348*3 + 0] = -0.562809f;	val_dir[6348*3 + 1] = 0.306987f;	val_dir[6348*3 + 2] = 0.767467f;
 	val_dir[6349*3 + 0] = -0.540419f;	val_dir[6349*3 + 1] = 0.334545f;	val_dir[6349*3 + 2] = 0.772027f;
 	val_dir[6350*3 + 0] = -0.517088f;	val_dir[6350*3 + 1] = 0.361961f;	val_dir[6350*3 + 2] = 0.775632f;
 	val_dir[6351*3 + 0] = -0.492883f;	val_dir[6351*3 + 1] = 0.389118f;	val_dir[6351*3 + 2] = 0.778237f;
 	val_dir[6352*3 + 0] = -0.467888f;	val_dir[6352*3 + 1] = 0.41590f;	val_dir[6352*3 + 2] = 0.779813f;
 	val_dir[6353*3 + 0] = -0.442193f;	val_dir[6353*3 + 1] = 0.442193f;	val_dir[6353*3 + 2] = 0.780340f;
 	val_dir[6354*3 + 0] = -0.41590f;	val_dir[6354*3 + 1] = 0.467888f;	val_dir[6354*3 + 2] = 0.779813f;
 	val_dir[6355*3 + 0] = -0.389118f;	val_dir[6355*3 + 1] = 0.492883f;	val_dir[6355*3 + 2] = 0.778237f;
 	val_dir[6356*3 + 0] = -0.361961f;	val_dir[6356*3 + 1] = 0.517088f;	val_dir[6356*3 + 2] = 0.775632f;
 	val_dir[6357*3 + 0] = -0.334545f;	val_dir[6357*3 + 1] = 0.540419f;	val_dir[6357*3 + 2] = 0.772027f;
 	val_dir[6358*3 + 0] = -0.306987f;	val_dir[6358*3 + 1] = 0.562809f;	val_dir[6358*3 + 2] = 0.767467f;
 	val_dir[6359*3 + 0] = -0.27940f;	val_dir[6359*3 + 1] = 0.584201f;	val_dir[6359*3 + 2] = 0.762001f;
 	val_dir[6360*3 + 0] = -0.251896f;	val_dir[6360*3 + 1] = 0.604551f;	val_dir[6360*3 + 2] = 0.755689f;
 	val_dir[6361*3 + 0] = -0.224579f;	val_dir[6361*3 + 1] = 0.623831f;	val_dir[6361*3 + 2] = 0.748598f;
 	val_dir[6362*3 + 0] = -0.197546f;	val_dir[6362*3 + 1] = 0.642024f;	val_dir[6362*3 + 2] = 0.740797f;
 	val_dir[6363*3 + 0] = -0.170884f;	val_dir[6363*3 + 1] = 0.659125f;	val_dir[6363*3 + 2] = 0.732361f;
 	val_dir[6364*3 + 0] = -0.144673f;	val_dir[6364*3 + 1] = 0.675140f;	val_dir[6364*3 + 2] = 0.723364f;
 	val_dir[6365*3 + 0] = -0.118980f;	val_dir[6365*3 + 1] = 0.690085f;	val_dir[6365*3 + 2] = 0.713881f;
 	val_dir[6366*3 + 0] = -0.093865f;	val_dir[6366*3 + 1] = 0.703985f;	val_dir[6366*3 + 2] = 0.703985f;
 	val_dir[6367*3 + 0] = -0.069375f;	val_dir[6367*3 + 1] = 0.716871f;	val_dir[6367*3 + 2] = 0.693746f;
 	val_dir[6368*3 + 0] = -0.045549f;	val_dir[6368*3 + 1] = 0.728780f;	val_dir[6368*3 + 2] = 0.683231f;
 	val_dir[6369*3 + 0] = -0.022417f;	val_dir[6369*3 + 1] = 0.739754f;	val_dir[6369*3 + 2] = 0.672504f;
 	val_dir[6370*3 + 0] = 0.0f;	val_dir[6370*3 + 1] = 0.749838f;	val_dir[6370*3 + 2] = 0.661622f;
 	val_dir[6371*3 + 0] = 0.022305f;	val_dir[6371*3 + 1] = 0.780675f;	val_dir[6371*3 + 2] = 0.624540f;
 	val_dir[6372*3 + 0] = 0.044992f;	val_dir[6372*3 + 1] = 0.809858f;	val_dir[6372*3 + 2] = 0.584898f;
 	val_dir[6373*3 + 0] = 0.067867f;	val_dir[6373*3 + 1] = 0.837027f;	val_dir[6373*3 + 2] = 0.542936f;
 	val_dir[6374*3 + 0] = 0.090722f;	val_dir[6374*3 + 1] = 0.861857f;	val_dir[6374*3 + 2] = 0.498970f;
 	val_dir[6375*3 + 0] = 0.113344f;	val_dir[6375*3 + 1] = 0.884083f;	val_dir[6375*3 + 2] = 0.453376f;
 	val_dir[6376*3 + 0] = 0.135526f;	val_dir[6376*3 + 1] = 0.903508f;	val_dir[6376*3 + 2] = 0.406579f;
 	val_dir[6377*3 + 0] = 0.157075f;	val_dir[6377*3 + 1] = 0.920014f;	val_dir[6377*3 + 2] = 0.359030f;
 	val_dir[6378*3 + 0] = 0.177822f;	val_dir[6378*3 + 1] = 0.933564f;	val_dir[6378*3 + 2] = 0.311188f;
 	val_dir[6379*3 + 0] = 0.197623f;	val_dir[6379*3 + 1] = 0.94420f;	val_dir[6379*3 + 2] = 0.263498f;
 	val_dir[6380*3 + 0] = 0.216371f;	val_dir[6380*3 + 1] = 0.952033f;	val_dir[6380*3 + 2] = 0.216371f;
 	val_dir[6381*3 + 0] = 0.233990f;	val_dir[6381*3 + 1] = 0.957230f;	val_dir[6381*3 + 2] = 0.170174f;
 	val_dir[6382*3 + 0] = 0.250435f;	val_dir[6382*3 + 1] = 0.960001f;	val_dir[6382*3 + 2] = 0.125218f;
 	val_dir[6383*3 + 0] = 0.265694f;	val_dir[6383*3 + 1] = 0.960585f;	val_dir[6383*3 + 2] = 0.081752f;
 	val_dir[6384*3 + 0] = 0.279776f;	val_dir[6384*3 + 1] = 0.959233f;	val_dir[6384*3 + 2] = 0.039968f;
 	val_dir[6385*3 + 0] = 0.292714f;	val_dir[6385*3 + 1] = 0.95620f;	val_dir[6385*3 + 2] = 0.0f;
 	val_dir[6386*3 + 0] = -0.961339f;	val_dir[6386*3 + 1] = -0.274668f;	val_dir[6386*3 + 2] = 0.019619f;
 	val_dir[6387*3 + 0] = -0.963475f;	val_dir[6387*3 + 1] = -0.260941f;	val_dir[6387*3 + 2] = 0.060217f;
 	val_dir[6388*3 + 0] = -0.963811f;	val_dir[6388*3 + 1] = -0.246079f;	val_dir[6388*3 + 2] = 0.102533f;
 	val_dir[6389*3 + 0] = -0.962099f;	val_dir[6389*3 + 1] = -0.230067f;	val_dir[6389*3 + 2] = 0.146406f;
 	val_dir[6390*3 + 0] = -0.958098f;	val_dir[6390*3 + 1] = -0.212911f;	val_dir[6390*3 + 2] = 0.191620f;
 	val_dir[6391*3 + 0] = -0.951588f;	val_dir[6391*3 + 1] = -0.194643f;	val_dir[6391*3 + 2] = 0.237897f;
 	val_dir[6392*3 + 0] = -0.942384f;	val_dir[6392*3 + 1] = -0.175327f;	val_dir[6392*3 + 2] = 0.284907f;
 	val_dir[6393*3 + 0] = -0.930352f;	val_dir[6393*3 + 1] = -0.155059f;	val_dir[6393*3 + 2] = 0.332269f;
 	val_dir[6394*3 + 0] = -0.915416f;	val_dir[6394*3 + 1] = -0.133963f;	val_dir[6394*3 + 2] = 0.379563f;
 	val_dir[6395*3 + 0] = -0.897574f;	val_dir[6395*3 + 1] = -0.112197f;	val_dir[6395*3 + 2] = 0.426348f;
 	val_dir[6396*3 + 0] = -0.876903f;	val_dir[6396*3 + 1] = -0.089939f;	val_dir[6396*3 + 2] = 0.472178f;
 	val_dir[6397*3 + 0] = -0.853556f;	val_dir[6397*3 + 1] = -0.067386f;	val_dir[6397*3 + 2] = 0.516626f;
 	val_dir[6398*3 + 0] = -0.827759f;	val_dir[6398*3 + 1] = -0.044744f;	val_dir[6398*3 + 2] = 0.559297f;
 	val_dir[6399*3 + 0] = -0.799803f;	val_dir[6399*3 + 1] = -0.022217f;	val_dir[6399*3 + 2] = 0.599852f;
 	val_dir[6400*3 + 0] = -0.770022f;	val_dir[6400*3 + 1] = 0.0f;	val_dir[6400*3 + 2] = 0.638018f;
 	val_dir[6401*3 + 0] = -0.760644f;	val_dir[6401*3 + 1] = 0.022372f;	val_dir[6401*3 + 2] = 0.648784f;
 	val_dir[6402*3 + 0] = -0.750388f;	val_dir[6402*3 + 1] = 0.045478f;	val_dir[6402*3 + 2] = 0.659432f;
 	val_dir[6403*3 + 0] = -0.739205f;	val_dir[6403*3 + 1] = 0.069301f;	val_dir[6403*3 + 2] = 0.669905f;
 	val_dir[6404*3 + 0] = -0.727051f;	val_dir[6404*3 + 1] = 0.093813f;	val_dir[6404*3 + 2] = 0.680144f;
 	val_dir[6405*3 + 0] = -0.713881f;	val_dir[6405*3 + 1] = 0.118980f;	val_dir[6405*3 + 2] = 0.690085f;
 	val_dir[6406*3 + 0] = -0.699659f;	val_dir[6406*3 + 1] = 0.144757f;	val_dir[6406*3 + 2] = 0.699659f;
 	val_dir[6407*3 + 0] = -0.684353f;	val_dir[6407*3 + 1] = 0.171088f;	val_dir[6407*3 + 2] = 0.708794f;
 	val_dir[6408*3 + 0] = -0.667940f;	val_dir[6408*3 + 1] = 0.197908f;	val_dir[6408*3 + 2] = 0.717418f;
 	val_dir[6409*3 + 0] = -0.650407f;	val_dir[6409*3 + 1] = 0.225141f;	val_dir[6409*3 + 2] = 0.725454f;
 	val_dir[6410*3 + 0] = -0.631748f;	val_dir[6410*3 + 1] = 0.252699f;	val_dir[6410*3 + 2] = 0.732828f;
 	val_dir[6411*3 + 0] = -0.611974f;	val_dir[6411*3 + 1] = 0.280488f;	val_dir[6411*3 + 2] = 0.739469f;
 	val_dir[6412*3 + 0] = -0.591105f;	val_dir[6412*3 + 1] = 0.308403f;	val_dir[6412*3 + 2] = 0.745307f;
 	val_dir[6413*3 + 0] = -0.569177f;	val_dir[6413*3 + 1] = 0.336332f;	val_dir[6413*3 + 2] = 0.750279f;
 	val_dir[6414*3 + 0] = -0.546238f;	val_dir[6414*3 + 1] = 0.364159f;	val_dir[6414*3 + 2] = 0.754329f;
 	val_dir[6415*3 + 0] = -0.522352f;	val_dir[6415*3 + 1] = 0.391764f;	val_dir[6415*3 + 2] = 0.757410f;
 	val_dir[6416*3 + 0] = -0.497594f;	val_dir[6416*3 + 1] = 0.419026f;	val_dir[6416*3 + 2] = 0.759485f;
 	val_dir[6417*3 + 0] = -0.472053f;	val_dir[6417*3 + 1] = 0.445827f;	val_dir[6417*3 + 2] = 0.760529f;
 	val_dir[6418*3 + 0] = -0.445827f;	val_dir[6418*3 + 1] = 0.472053f;	val_dir[6418*3 + 2] = 0.760529f;
 	val_dir[6419*3 + 0] = -0.419026f;	val_dir[6419*3 + 1] = 0.497594f;	val_dir[6419*3 + 2] = 0.759485f;
 	val_dir[6420*3 + 0] = -0.391764f;	val_dir[6420*3 + 1] = 0.522352f;	val_dir[6420*3 + 2] = 0.757410f;
 	val_dir[6421*3 + 0] = -0.364159f;	val_dir[6421*3 + 1] = 0.546238f;	val_dir[6421*3 + 2] = 0.754329f;
 	val_dir[6422*3 + 0] = -0.336332f;	val_dir[6422*3 + 1] = 0.569177f;	val_dir[6422*3 + 2] = 0.750279f;
 	val_dir[6423*3 + 0] = -0.308403f;	val_dir[6423*3 + 1] = 0.591105f;	val_dir[6423*3 + 2] = 0.745307f;
 	val_dir[6424*3 + 0] = -0.280488f;	val_dir[6424*3 + 1] = 0.611974f;	val_dir[6424*3 + 2] = 0.739469f;
 	val_dir[6425*3 + 0] = -0.252699f;	val_dir[6425*3 + 1] = 0.631748f;	val_dir[6425*3 + 2] = 0.732828f;
 	val_dir[6426*3 + 0] = -0.225141f;	val_dir[6426*3 + 1] = 0.650407f;	val_dir[6426*3 + 2] = 0.725454f;
 	val_dir[6427*3 + 0] = -0.197908f;	val_dir[6427*3 + 1] = 0.667940f;	val_dir[6427*3 + 2] = 0.717418f;
 	val_dir[6428*3 + 0] = -0.171088f;	val_dir[6428*3 + 1] = 0.684353f;	val_dir[6428*3 + 2] = 0.708794f;
 	val_dir[6429*3 + 0] = -0.144757f;	val_dir[6429*3 + 1] = 0.699659f;	val_dir[6429*3 + 2] = 0.699659f;
 	val_dir[6430*3 + 0] = -0.118980f;	val_dir[6430*3 + 1] = 0.713881f;	val_dir[6430*3 + 2] = 0.690085f;
 	val_dir[6431*3 + 0] = -0.093813f;	val_dir[6431*3 + 1] = 0.727051f;	val_dir[6431*3 + 2] = 0.680144f;
 	val_dir[6432*3 + 0] = -0.069301f;	val_dir[6432*3 + 1] = 0.739205f;	val_dir[6432*3 + 2] = 0.669905f;
 	val_dir[6433*3 + 0] = -0.045478f;	val_dir[6433*3 + 1] = 0.750388f;	val_dir[6433*3 + 2] = 0.659432f;
 	val_dir[6434*3 + 0] = -0.022372f;	val_dir[6434*3 + 1] = 0.760644f;	val_dir[6434*3 + 2] = 0.648784f;
 	val_dir[6435*3 + 0] = 0.0f;	val_dir[6435*3 + 1] = 0.770022f;	val_dir[6435*3 + 2] = 0.638018f;
 	val_dir[6436*3 + 0] = 0.022217f;	val_dir[6436*3 + 1] = 0.799803f;	val_dir[6436*3 + 2] = 0.599852f;
 	val_dir[6437*3 + 0] = 0.044744f;	val_dir[6437*3 + 1] = 0.827759f;	val_dir[6437*3 + 2] = 0.559297f;
 	val_dir[6438*3 + 0] = 0.067386f;	val_dir[6438*3 + 1] = 0.853556f;	val_dir[6438*3 + 2] = 0.516626f;
 	val_dir[6439*3 + 0] = 0.089939f;	val_dir[6439*3 + 1] = 0.876903f;	val_dir[6439*3 + 2] = 0.472178f;
 	val_dir[6440*3 + 0] = 0.112197f;	val_dir[6440*3 + 1] = 0.897574f;	val_dir[6440*3 + 2] = 0.426348f;
 	val_dir[6441*3 + 0] = 0.133963f;	val_dir[6441*3 + 1] = 0.915416f;	val_dir[6441*3 + 2] = 0.379563f;
 	val_dir[6442*3 + 0] = 0.155059f;	val_dir[6442*3 + 1] = 0.930352f;	val_dir[6442*3 + 2] = 0.332269f;
 	val_dir[6443*3 + 0] = 0.175327f;	val_dir[6443*3 + 1] = 0.942384f;	val_dir[6443*3 + 2] = 0.284907f;
 	val_dir[6444*3 + 0] = 0.194643f;	val_dir[6444*3 + 1] = 0.951588f;	val_dir[6444*3 + 2] = 0.237897f;
 	val_dir[6445*3 + 0] = 0.212911f;	val_dir[6445*3 + 1] = 0.958098f;	val_dir[6445*3 + 2] = 0.191620f;
 	val_dir[6446*3 + 0] = 0.230067f;	val_dir[6446*3 + 1] = 0.962099f;	val_dir[6446*3 + 2] = 0.146406f;
 	val_dir[6447*3 + 0] = 0.246079f;	val_dir[6447*3 + 1] = 0.963811f;	val_dir[6447*3 + 2] = 0.102533f;
 	val_dir[6448*3 + 0] = 0.260941f;	val_dir[6448*3 + 1] = 0.963475f;	val_dir[6448*3 + 2] = 0.060217f;
 	val_dir[6449*3 + 0] = 0.274668f;	val_dir[6449*3 + 1] = 0.961339f;	val_dir[6449*3 + 2] = 0.019619f;
 	val_dir[6450*3 + 0] = -0.962964f;	val_dir[6450*3 + 1] = -0.269630f;	val_dir[6450*3 + 2] = 0.0f;
 	val_dir[6451*3 + 0] = -0.965810f;	val_dir[6451*3 + 1] = -0.256235f;	val_dir[6451*3 + 2] = 0.039421f;
 	val_dir[6452*3 + 0] = -0.966988f;	val_dir[6452*3 + 1] = -0.241747f;	val_dir[6452*3 + 2] = 0.080582f;
 	val_dir[6453*3 + 0] = -0.966252f;	val_dir[6453*3 + 1] = -0.226144f;	val_dir[6453*3 + 2] = 0.123351f;
 	val_dir[6454*3 + 0] = -0.963364f;	val_dir[6454*3 + 1] = -0.209427f;	val_dir[6454*3 + 2] = 0.167542f;
 	val_dir[6455*3 + 0] = -0.958098f;	val_dir[6455*3 + 1] = -0.191620f;	val_dir[6455*3 + 2] = 0.212911f;
 	val_dir[6456*3 + 0] = -0.950255f;	val_dir[6456*3 + 1] = -0.172774f;	val_dir[6456*3 + 2] = 0.259161f;
 	val_dir[6457*3 + 0] = -0.939680f;	val_dir[6457*3 + 1] = -0.152971f;	val_dir[6457*3 + 2] = 0.305942f;
 	val_dir[6458*3 + 0] = -0.926270f;	val_dir[6458*3 + 1] = -0.132324f;	val_dir[6458*3 + 2] = 0.352865f;
 	val_dir[6459*3 + 0] = -0.909988f;	val_dir[6459*3 + 1] = -0.110974f;	val_dir[6459*3 + 2] = 0.399507f;
 	val_dir[6460*3 + 0] = -0.890871f;	val_dir[6460*3 + 1] = -0.089087f;	val_dir[6460*3 + 2] = 0.445435f;
 	val_dir[6461*3 + 0] = -0.869030f;	val_dir[6461*3 + 1] = -0.066848f;	val_dir[6461*3 + 2] = 0.490222f;
 	val_dir[6462*3 + 0] = -0.844653f;	val_dir[6462*3 + 1] = -0.044455f;	val_dir[6462*3 + 2] = 0.533465f;
 	val_dir[6463*3 + 0] = -0.817992f;	val_dir[6463*3 + 1] = -0.022108f;	val_dir[6463*3 + 2] = 0.574805f;
 	val_dir[6464*3 + 0] = -0.789352f;	val_dir[6464*3 + 1] = 0.0f;	val_dir[6464*3 + 2] = 0.613941f;
 	val_dir[6465*3 + 0] = -0.780675f;	val_dir[6465*3 + 1] = 0.022305f;	val_dir[6465*3 + 2] = 0.624540f;
 	val_dir[6466*3 + 0] = -0.771136f;	val_dir[6466*3 + 1] = 0.045361f;	val_dir[6466*3 + 2] = 0.635053f;
 	val_dir[6467*3 + 0] = -0.760684f;	val_dir[6467*3 + 1] = 0.069153f;	val_dir[6467*3 + 2] = 0.645429f;
 	val_dir[6468*3 + 0] = -0.749269f;	val_dir[6468*3 + 1] = 0.093659f;	val_dir[6468*3 + 2] = 0.655610f;
 	val_dir[6469*3 + 0] = -0.736843f;	val_dir[6469*3 + 1] = 0.118846f;	val_dir[6469*3 + 2] = 0.665536f;
 	val_dir[6470*3 + 0] = -0.723364f;	val_dir[6470*3 + 1] = 0.144673f;	val_dir[6470*3 + 2] = 0.675140f;
 	val_dir[6471*3 + 0] = -0.708794f;	val_dir[6471*3 + 1] = 0.171088f;	val_dir[6471*3 + 2] = 0.684353f;
 	val_dir[6472*3 + 0] = -0.693103f;	val_dir[6472*3 + 1] = 0.198030f;	val_dir[6472*3 + 2] = 0.693103f;
 	val_dir[6473*3 + 0] = -0.676269f;	val_dir[6473*3 + 1] = 0.225423f;	val_dir[6473*3 + 2] = 0.701316f;
 	val_dir[6474*3 + 0] = -0.658281f;	val_dir[6474*3 + 1] = 0.253185f;	val_dir[6474*3 + 2] = 0.708918f;
 	val_dir[6475*3 + 0] = -0.639138f;	val_dir[6475*3 + 1] = 0.281220f;	val_dir[6475*3 + 2] = 0.715834f;
 	val_dir[6476*3 + 0] = -0.618853f;	val_dir[6476*3 + 1] = 0.309426f;	val_dir[6476*3 + 2] = 0.721995f;
 	val_dir[6477*3 + 0] = -0.597453f;	val_dir[6477*3 + 1] = 0.337691f;	val_dir[6477*3 + 2] = 0.727334f;
 	val_dir[6478*3 + 0] = -0.574979f;	val_dir[6478*3 + 1] = 0.365896f;	val_dir[6478*3 + 2] = 0.731792f;
 	val_dir[6479*3 + 0] = -0.551487f;	val_dir[6479*3 + 1] = 0.393919f;	val_dir[6479*3 + 2] = 0.735316f;
 	val_dir[6480*3 + 0] = -0.527046f;	val_dir[6480*3 + 1] = 0.421637f;	val_dir[6480*3 + 2] = 0.737865f;
 	val_dir[6481*3 + 0] = -0.501740f;	val_dir[6481*3 + 1] = 0.448926f;	val_dir[6481*3 + 2] = 0.739407f;
 	val_dir[6482*3 + 0] = -0.475665f;	val_dir[6482*3 + 1] = 0.475665f;	val_dir[6482*3 + 2] = 0.739923f;
 	val_dir[6483*3 + 0] = -0.448926f;	val_dir[6483*3 + 1] = 0.501740f;	val_dir[6483*3 + 2] = 0.739407f;
 	val_dir[6484*3 + 0] = -0.421637f;	val_dir[6484*3 + 1] = 0.527046f;	val_dir[6484*3 + 2] = 0.737865f;
 	val_dir[6485*3 + 0] = -0.393919f;	val_dir[6485*3 + 1] = 0.551487f;	val_dir[6485*3 + 2] = 0.735316f;
 	val_dir[6486*3 + 0] = -0.365896f;	val_dir[6486*3 + 1] = 0.574979f;	val_dir[6486*3 + 2] = 0.731792f;
 	val_dir[6487*3 + 0] = -0.337691f;	val_dir[6487*3 + 1] = 0.597453f;	val_dir[6487*3 + 2] = 0.727334f;
 	val_dir[6488*3 + 0] = -0.309426f;	val_dir[6488*3 + 1] = 0.618853f;	val_dir[6488*3 + 2] = 0.721995f;
 	val_dir[6489*3 + 0] = -0.281220f;	val_dir[6489*3 + 1] = 0.639138f;	val_dir[6489*3 + 2] = 0.715834f;
 	val_dir[6490*3 + 0] = -0.253185f;	val_dir[6490*3 + 1] = 0.658281f;	val_dir[6490*3 + 2] = 0.708918f;
 	val_dir[6491*3 + 0] = -0.225423f;	val_dir[6491*3 + 1] = 0.676269f;	val_dir[6491*3 + 2] = 0.701316f;
 	val_dir[6492*3 + 0] = -0.198030f;	val_dir[6492*3 + 1] = 0.693103f;	val_dir[6492*3 + 2] = 0.693103f;
 	val_dir[6493*3 + 0] = -0.171088f;	val_dir[6493*3 + 1] = 0.708794f;	val_dir[6493*3 + 2] = 0.684353f;
 	val_dir[6494*3 + 0] = -0.144673f;	val_dir[6494*3 + 1] = 0.723364f;	val_dir[6494*3 + 2] = 0.675140f;
 	val_dir[6495*3 + 0] = -0.118846f;	val_dir[6495*3 + 1] = 0.736843f;	val_dir[6495*3 + 2] = 0.665536f;
 	val_dir[6496*3 + 0] = -0.093659f;	val_dir[6496*3 + 1] = 0.749269f;	val_dir[6496*3 + 2] = 0.655610f;
 	val_dir[6497*3 + 0] = -0.069153f;	val_dir[6497*3 + 1] = 0.760684f;	val_dir[6497*3 + 2] = 0.645429f;
 	val_dir[6498*3 + 0] = -0.045361f;	val_dir[6498*3 + 1] = 0.771136f;	val_dir[6498*3 + 2] = 0.635053f;
 	val_dir[6499*3 + 0] = -0.022305f;	val_dir[6499*3 + 1] = 0.780675f;	val_dir[6499*3 + 2] = 0.624540f;
 	val_dir[6500*3 + 0] = 0.0f;	val_dir[6500*3 + 1] = 0.789352f;	val_dir[6500*3 + 2] = 0.613941f;
 	val_dir[6501*3 + 0] = 0.022108f;	val_dir[6501*3 + 1] = 0.817992f;	val_dir[6501*3 + 2] = 0.574805f;
 	val_dir[6502*3 + 0] = 0.044455f;	val_dir[6502*3 + 1] = 0.844653f;	val_dir[6502*3 + 2] = 0.533465f;
 	val_dir[6503*3 + 0] = 0.066848f;	val_dir[6503*3 + 1] = 0.869030f;	val_dir[6503*3 + 2] = 0.490222f;
 	val_dir[6504*3 + 0] = 0.089087f;	val_dir[6504*3 + 1] = 0.890871f;	val_dir[6504*3 + 2] = 0.445435f;
 	val_dir[6505*3 + 0] = 0.110974f;	val_dir[6505*3 + 1] = 0.909988f;	val_dir[6505*3 + 2] = 0.399507f;
 	val_dir[6506*3 + 0] = 0.132324f;	val_dir[6506*3 + 1] = 0.926270f;	val_dir[6506*3 + 2] = 0.352865f;
 	val_dir[6507*3 + 0] = 0.152971f;	val_dir[6507*3 + 1] = 0.939680f;	val_dir[6507*3 + 2] = 0.305942f;
 	val_dir[6508*3 + 0] = 0.172774f;	val_dir[6508*3 + 1] = 0.950255f;	val_dir[6508*3 + 2] = 0.259161f;
 	val_dir[6509*3 + 0] = 0.191620f;	val_dir[6509*3 + 1] = 0.958098f;	val_dir[6509*3 + 2] = 0.212911f;
 	val_dir[6510*3 + 0] = 0.209427f;	val_dir[6510*3 + 1] = 0.963364f;	val_dir[6510*3 + 2] = 0.167542f;
 	val_dir[6511*3 + 0] = 0.226144f;	val_dir[6511*3 + 1] = 0.966252f;	val_dir[6511*3 + 2] = 0.123351f;
 	val_dir[6512*3 + 0] = 0.241747f;	val_dir[6512*3 + 1] = 0.966988f;	val_dir[6512*3 + 2] = 0.080582f;
 	val_dir[6513*3 + 0] = 0.256235f;	val_dir[6513*3 + 1] = 0.965810f;	val_dir[6513*3 + 2] = 0.039421f;
 	val_dir[6514*3 + 0] = 0.269630f;	val_dir[6514*3 + 1] = 0.962964f;	val_dir[6514*3 + 2] = 0.0f;
 	val_dir[6515*3 + 0] = -0.967641f;	val_dir[6515*3 + 1] = -0.251587f;	val_dir[6515*3 + 2] = 0.019353f;
 	val_dir[6516*3 + 0] = -0.969584f;	val_dir[6516*3 + 1] = -0.237449f;	val_dir[6516*3 + 2] = 0.059362f;
 	val_dir[6517*3 + 0] = -0.969746f;	val_dir[6517*3 + 1] = -0.222234f;	val_dir[6517*3 + 2] = 0.101015f;
 	val_dir[6518*3 + 0] = -0.967890f;	val_dir[6518*3 + 1] = -0.205934f;	val_dir[6518*3 + 2] = 0.144154f;
 	val_dir[6519*3 + 0] = -0.963787f;	val_dir[6519*3 + 1] = -0.188567f;	val_dir[6519*3 + 2] = 0.188567f;
 	val_dir[6520*3 + 0] = -0.957230f;	val_dir[6520*3 + 1] = -0.170174f;	val_dir[6520*3 + 2] = 0.233990f;
 	val_dir[6521*3 + 0] = -0.948047f;	val_dir[6521*3 + 1] = -0.150826f;	val_dir[6521*3 + 2] = 0.280105f;
 	val_dir[6522*3 + 0] = -0.936111f;	val_dir[6522*3 + 1] = -0.130620f;	val_dir[6522*3 + 2] = 0.326550f;
 	val_dir[6523*3 + 0] = -0.921354f;	val_dir[6523*3 + 1] = -0.109685f;	val_dir[6523*3 + 2] = 0.372929f;
 	val_dir[6524*3 + 0] = -0.903777f;	val_dir[6524*3 + 1] = -0.088173f;	val_dir[6524*3 + 2] = 0.418823f;
 	val_dir[6525*3 + 0] = -0.883452f;	val_dir[6525*3 + 1] = -0.066259f;	val_dir[6525*3 + 2] = 0.463812f;
 	val_dir[6526*3 + 0] = -0.860527f;	val_dir[6526*3 + 1] = -0.044130f;	val_dir[6526*3 + 2] = 0.507490f;
 	val_dir[6527*3 + 0] = -0.835215f;	val_dir[6527*3 + 1] = -0.021979f;	val_dir[6527*3 + 2] = 0.549484f;
 	val_dir[6528*3 + 0] = -0.807791f;	val_dir[6528*3 + 1] = 0.0f;	val_dir[6528*3 + 2] = 0.589469f;
 	val_dir[6529*3 + 0] = -0.799803f;	val_dir[6529*3 + 1] = 0.022217f;	val_dir[6529*3 + 2] = 0.599852f;
 	val_dir[6530*3 + 0] = -0.790973f;	val_dir[6530*3 + 1] = 0.045198f;	val_dir[6530*3 + 2] = 0.610179f;
 	val_dir[6531*3 + 0] = -0.781248f;	val_dir[6531*3 + 1] = 0.068934f;	val_dir[6531*3 + 2] = 0.620403f;
 	val_dir[6532*3 + 0] = -0.770574f;	val_dir[6532*3 + 1] = 0.093403f;	val_dir[6532*3 + 2] = 0.630470f;
 	val_dir[6533*3 + 0] = -0.758899f;	val_dir[6533*3 + 1] = 0.118578f;	val_dir[6533*3 + 2] = 0.640321f;
 	val_dir[6534*3 + 0] = -0.746176f;	val_dir[6534*3 + 1] = 0.144421f;	val_dir[6534*3 + 2] = 0.649895f;
 	val_dir[6535*3 + 0] = -0.732361f;	val_dir[6535*3 + 1] = 0.170884f;	val_dir[6535*3 + 2] = 0.659125f;
 	val_dir[6536*3 + 0] = -0.717418f;	val_dir[6536*3 + 1] = 0.197908f;	val_dir[6536*3 + 2] = 0.667940f;
 	val_dir[6537*3 + 0] = -0.701316f;	val_dir[6537*3 + 1] = 0.225423f;	val_dir[6537*3 + 2] = 0.676269f;
 	val_dir[6538*3 + 0] = -0.684038f;	val_dir[6538*3 + 1] = 0.253347f;	val_dir[6538*3 + 2] = 0.684038f;
 	val_dir[6539*3 + 0] = -0.665574f;	val_dir[6539*3 + 1] = 0.281589f;	val_dir[6539*3 + 2] = 0.691173f;
 	val_dir[6540*3 + 0] = -0.645928f;	val_dir[6540*3 + 1] = 0.310045f;	val_dir[6540*3 + 2] = 0.697602f;
 	val_dir[6541*3 + 0] = -0.625119f;	val_dir[6541*3 + 1] = 0.338606f;	val_dir[6541*3 + 2] = 0.703259f;
 	val_dir[6542*3 + 0] = -0.603178f;	val_dir[6542*3 + 1] = 0.367152f;	val_dir[6542*3 + 2] = 0.708079f;
 	val_dir[6543*3 + 0] = -0.580154f;	val_dir[6543*3 + 1] = 0.395559f;	val_dir[6543*3 + 2] = 0.712007f;
 	val_dir[6544*3 + 0] = -0.556108f;	val_dir[6544*3 + 1] = 0.423702f;	val_dir[6544*3 + 2] = 0.714997f;
 	val_dir[6545*3 + 0] = -0.531119f;	val_dir[6545*3 + 1] = 0.451451f;	val_dir[6545*3 + 2] = 0.717011f;
 	val_dir[6546*3 + 0] = -0.505276f;	val_dir[6546*3 + 1] = 0.478683f;	val_dir[6546*3 + 2] = 0.718024f;
 	val_dir[6547*3 + 0] = -0.478683f;	val_dir[6547*3 + 1] = 0.505276f;	val_dir[6547*3 + 2] = 0.718024f;
 	val_dir[6548*3 + 0] = -0.451451f;	val_dir[6548*3 + 1] = 0.531119f;	val_dir[6548*3 + 2] = 0.717011f;
 	val_dir[6549*3 + 0] = -0.423702f;	val_dir[6549*3 + 1] = 0.556108f;	val_dir[6549*3 + 2] = 0.714997f;
 	val_dir[6550*3 + 0] = -0.395559f;	val_dir[6550*3 + 1] = 0.580154f;	val_dir[6550*3 + 2] = 0.712007f;
 	val_dir[6551*3 + 0] = -0.367152f;	val_dir[6551*3 + 1] = 0.603178f;	val_dir[6551*3 + 2] = 0.708079f;
 	val_dir[6552*3 + 0] = -0.338606f;	val_dir[6552*3 + 1] = 0.625119f;	val_dir[6552*3 + 2] = 0.703259f;
 	val_dir[6553*3 + 0] = -0.310045f;	val_dir[6553*3 + 1] = 0.645928f;	val_dir[6553*3 + 2] = 0.697602f;
 	val_dir[6554*3 + 0] = -0.281589f;	val_dir[6554*3 + 1] = 0.665574f;	val_dir[6554*3 + 2] = 0.691173f;
 	val_dir[6555*3 + 0] = -0.253347f;	val_dir[6555*3 + 1] = 0.684038f;	val_dir[6555*3 + 2] = 0.684038f;
 	val_dir[6556*3 + 0] = -0.225423f;	val_dir[6556*3 + 1] = 0.701316f;	val_dir[6556*3 + 2] = 0.676269f;
 	val_dir[6557*3 + 0] = -0.197908f;	val_dir[6557*3 + 1] = 0.717418f;	val_dir[6557*3 + 2] = 0.667940f;
 	val_dir[6558*3 + 0] = -0.170884f;	val_dir[6558*3 + 1] = 0.732361f;	val_dir[6558*3 + 2] = 0.659125f;
 	val_dir[6559*3 + 0] = -0.144421f;	val_dir[6559*3 + 1] = 0.746176f;	val_dir[6559*3 + 2] = 0.649895f;
 	val_dir[6560*3 + 0] = -0.118578f;	val_dir[6560*3 + 1] = 0.758899f;	val_dir[6560*3 + 2] = 0.640321f;
 	val_dir[6561*3 + 0] = -0.093403f;	val_dir[6561*3 + 1] = 0.770574f;	val_dir[6561*3 + 2] = 0.630470f;
 	val_dir[6562*3 + 0] = -0.068934f;	val_dir[6562*3 + 1] = 0.781248f;	val_dir[6562*3 + 2] = 0.620403f;
 	val_dir[6563*3 + 0] = -0.045198f;	val_dir[6563*3 + 1] = 0.790973f;	val_dir[6563*3 + 2] = 0.610179f;
 	val_dir[6564*3 + 0] = -0.022217f;	val_dir[6564*3 + 1] = 0.799803f;	val_dir[6564*3 + 2] = 0.599852f;
 	val_dir[6565*3 + 0] = 0.0f;	val_dir[6565*3 + 1] = 0.807791f;	val_dir[6565*3 + 2] = 0.589469f;
 	val_dir[6566*3 + 0] = 0.021979f;	val_dir[6566*3 + 1] = 0.835215f;	val_dir[6566*3 + 2] = 0.549484f;
 	val_dir[6567*3 + 0] = 0.044130f;	val_dir[6567*3 + 1] = 0.860527f;	val_dir[6567*3 + 2] = 0.507490f;
 	val_dir[6568*3 + 0] = 0.066259f;	val_dir[6568*3 + 1] = 0.883452f;	val_dir[6568*3 + 2] = 0.463812f;
 	val_dir[6569*3 + 0] = 0.088173f;	val_dir[6569*3 + 1] = 0.903777f;	val_dir[6569*3 + 2] = 0.418823f;
 	val_dir[6570*3 + 0] = 0.109685f;	val_dir[6570*3 + 1] = 0.921354f;	val_dir[6570*3 + 2] = 0.372929f;
 	val_dir[6571*3 + 0] = 0.130620f;	val_dir[6571*3 + 1] = 0.936111f;	val_dir[6571*3 + 2] = 0.326550f;
 	val_dir[6572*3 + 0] = 0.150826f;	val_dir[6572*3 + 1] = 0.948047f;	val_dir[6572*3 + 2] = 0.280105f;
 	val_dir[6573*3 + 0] = 0.170174f;	val_dir[6573*3 + 1] = 0.957230f;	val_dir[6573*3 + 2] = 0.233990f;
 	val_dir[6574*3 + 0] = 0.188567f;	val_dir[6574*3 + 1] = 0.963787f;	val_dir[6574*3 + 2] = 0.188567f;
 	val_dir[6575*3 + 0] = 0.205934f;	val_dir[6575*3 + 1] = 0.967890f;	val_dir[6575*3 + 2] = 0.144154f;
 	val_dir[6576*3 + 0] = 0.222234f;	val_dir[6576*3 + 1] = 0.969746f;	val_dir[6576*3 + 2] = 0.101015f;
 	val_dir[6577*3 + 0] = 0.237449f;	val_dir[6577*3 + 1] = 0.969584f;	val_dir[6577*3 + 2] = 0.059362f;
 	val_dir[6578*3 + 0] = 0.251587f;	val_dir[6578*3 + 1] = 0.967641f;	val_dir[6578*3 + 2] = 0.019353f;
 	val_dir[6579*3 + 0] = -0.969015f;	val_dir[6579*3 + 1] = -0.247004f;	val_dir[6579*3 + 2] = 0.0f;
 	val_dir[6580*3 + 0] = -0.971653f;	val_dir[6580*3 + 1] = -0.233197f;	val_dir[6580*3 + 2] = 0.038866f;
 	val_dir[6581*3 + 0] = -0.972636f;	val_dir[6581*3 + 1] = -0.218347f;	val_dir[6581*3 + 2] = 0.079399f;
 	val_dir[6582*3 + 0] = -0.971732f;	val_dir[6582*3 + 1] = -0.202444f;	val_dir[6582*3 + 2] = 0.121466f;
 	val_dir[6583*3 + 0] = -0.968712f;	val_dir[6583*3 + 1] = -0.185498f;	val_dir[6583*3 + 2] = 0.164887f;
 	val_dir[6584*3 + 0] = -0.963364f;	val_dir[6584*3 + 1] = -0.167542f;	val_dir[6584*3 + 2] = 0.209427f;
 	val_dir[6585*3 + 0] = -0.955502f;	val_dir[6585*3 + 1] = -0.148634f;	val_dir[6585*3 + 2] = 0.254801f;
 	val_dir[6586*3 + 0] = -0.944981f;	val_dir[6586*3 + 1] = -0.128861f;	val_dir[6586*3 + 2] = 0.300676f;
 	val_dir[6587*3 + 0] = -0.931705f;	val_dir[6587*3 + 1] = -0.108338f;	val_dir[6587*3 + 2] = 0.346681f;
 	val_dir[6588*3 + 0] = -0.915644f;	val_dir[6588*3 + 1] = -0.087204f;	val_dir[6588*3 + 2] = 0.392419f;
 	val_dir[6589*3 + 0] = -0.896831f;	val_dir[6589*3 + 1] = -0.065622f;	val_dir[6589*3 + 2] = 0.437479f;
 	val_dir[6590*3 + 0] = -0.875376f;	val_dir[6590*3 + 1] = -0.043769f;	val_dir[6590*3 + 2] = 0.481457f;
 	val_dir[6591*3 + 0] = -0.851455f;	val_dir[6591*3 + 1] = -0.021832f;	val_dir[6591*3 + 2] = 0.523973f;
 	val_dir[6592*3 + 0] = -0.825307f;	val_dir[6592*3 + 1] = 0.0f;	val_dir[6592*3 + 2] = 0.564684f;
 	val_dir[6593*3 + 0] = -0.817992f;	val_dir[6593*3 + 1] = 0.022108f;	val_dir[6593*3 + 2] = 0.574805f;
 	val_dir[6594*3 + 0] = -0.809858f;	val_dir[6594*3 + 1] = 0.044992f;	val_dir[6594*3 + 2] = 0.584898f;
 	val_dir[6595*3 + 0] = -0.800850f;	val_dir[6595*3 + 1] = 0.068644f;	val_dir[6595*3 + 2] = 0.594917f;
 	val_dir[6596*3 + 0] = -0.790912f;	val_dir[6596*3 + 1] = 0.093048f;	val_dir[6596*3 + 2] = 0.604815f;
 	val_dir[6597*3 + 0] = -0.779987f;	val_dir[6597*3 + 1] = 0.118180f;	val_dir[6597*3 + 2] = 0.614535f;
 	val_dir[6598*3 + 0] = -0.768025f;	val_dir[6598*3 + 1] = 0.144005f;	val_dir[6598*3 + 2] = 0.624020f;
 	val_dir[6599*3 + 0] = -0.754976f;	val_dir[6599*3 + 1] = 0.170478f;	val_dir[6599*3 + 2] = 0.633205f;
 	val_dir[6600*3 + 0] = -0.740797f;	val_dir[6600*3 + 1] = 0.197546f;	val_dir[6600*3 + 2] = 0.642024f;
 	val_dir[6601*3 + 0] = -0.725454f;	val_dir[6601*3 + 1] = 0.225141f;	val_dir[6601*3 + 2] = 0.650407f;
 	val_dir[6602*3 + 0] = -0.708918f;	val_dir[6602*3 + 1] = 0.253185f;	val_dir[6602*3 + 2] = 0.658281f;
 	val_dir[6603*3 + 0] = -0.691173f;	val_dir[6603*3 + 1] = 0.281589f;	val_dir[6603*3 + 2] = 0.665574f;
 	val_dir[6604*3 + 0] = -0.672214f;	val_dir[6604*3 + 1] = 0.310253f;	val_dir[6604*3 + 2] = 0.672214f;
 	val_dir[6605*3 + 0] = -0.652051f;	val_dir[6605*3 + 1] = 0.339066f;	val_dir[6605*3 + 2] = 0.678133f;
 	val_dir[6606*3 + 0] = -0.630706f;	val_dir[6606*3 + 1] = 0.367912f;	val_dir[6606*3 + 2] = 0.683265f;
 	val_dir[6607*3 + 0] = -0.608219f;	val_dir[6607*3 + 1] = 0.396664f;	val_dir[6607*3 + 2] = 0.687552f;
 	val_dir[6608*3 + 0] = -0.584643f;	val_dir[6608*3 + 1] = 0.425195f;	val_dir[6608*3 + 2] = 0.690942f;
 	val_dir[6609*3 + 0] = -0.560050f;	val_dir[6609*3 + 1] = 0.453374f;	val_dir[6609*3 + 2] = 0.693395f;
 	val_dir[6610*3 + 0] = -0.534522f;	val_dir[6610*3 + 1] = 0.481070f;	val_dir[6610*3 + 2] = 0.694879f;
 	val_dir[6611*3 + 0] = -0.508159f;	val_dir[6611*3 + 1] = 0.508159f;	val_dir[6611*3 + 2] = 0.695376f;
 	val_dir[6612*3 + 0] = -0.481070f;	val_dir[6612*3 + 1] = 0.534522f;	val_dir[6612*3 + 2] = 0.694879f;
 	val_dir[6613*3 + 0] = -0.453374f;	val_dir[6613*3 + 1] = 0.560050f;	val_dir[6613*3 + 2] = 0.693395f;
 	val_dir[6614*3 + 0] = -0.425195f;	val_dir[6614*3 + 1] = 0.584643f;	val_dir[6614*3 + 2] = 0.690942f;
 	val_dir[6615*3 + 0] = -0.396664f;	val_dir[6615*3 + 1] = 0.608219f;	val_dir[6615*3 + 2] = 0.687552f;
 	val_dir[6616*3 + 0] = -0.367912f;	val_dir[6616*3 + 1] = 0.630706f;	val_dir[6616*3 + 2] = 0.683265f;
 	val_dir[6617*3 + 0] = -0.339066f;	val_dir[6617*3 + 1] = 0.652051f;	val_dir[6617*3 + 2] = 0.678133f;
 	val_dir[6618*3 + 0] = -0.310253f;	val_dir[6618*3 + 1] = 0.672214f;	val_dir[6618*3 + 2] = 0.672214f;
 	val_dir[6619*3 + 0] = -0.281589f;	val_dir[6619*3 + 1] = 0.691173f;	val_dir[6619*3 + 2] = 0.665574f;
 	val_dir[6620*3 + 0] = -0.253185f;	val_dir[6620*3 + 1] = 0.708918f;	val_dir[6620*3 + 2] = 0.658281f;
 	val_dir[6621*3 + 0] = -0.225141f;	val_dir[6621*3 + 1] = 0.725454f;	val_dir[6621*3 + 2] = 0.650407f;
 	val_dir[6622*3 + 0] = -0.197546f;	val_dir[6622*3 + 1] = 0.740797f;	val_dir[6622*3 + 2] = 0.642024f;
 	val_dir[6623*3 + 0] = -0.170478f;	val_dir[6623*3 + 1] = 0.754976f;	val_dir[6623*3 + 2] = 0.633205f;
 	val_dir[6624*3 + 0] = -0.144005f;	val_dir[6624*3 + 1] = 0.768025f;	val_dir[6624*3 + 2] = 0.624020f;
 	val_dir[6625*3 + 0] = -0.118180f;	val_dir[6625*3 + 1] = 0.779987f;	val_dir[6625*3 + 2] = 0.614535f;
 	val_dir[6626*3 + 0] = -0.093048f;	val_dir[6626*3 + 1] = 0.790912f;	val_dir[6626*3 + 2] = 0.604815f;
 	val_dir[6627*3 + 0] = -0.068644f;	val_dir[6627*3 + 1] = 0.800850f;	val_dir[6627*3 + 2] = 0.594917f;
 	val_dir[6628*3 + 0] = -0.044992f;	val_dir[6628*3 + 1] = 0.809858f;	val_dir[6628*3 + 2] = 0.584898f;
 	val_dir[6629*3 + 0] = -0.022108f;	val_dir[6629*3 + 1] = 0.817992f;	val_dir[6629*3 + 2] = 0.574805f;
 	val_dir[6630*3 + 0] = 0.0f;	val_dir[6630*3 + 1] = 0.825307f;	val_dir[6630*3 + 2] = 0.564684f;
 	val_dir[6631*3 + 0] = 0.021832f;	val_dir[6631*3 + 1] = 0.851455f;	val_dir[6631*3 + 2] = 0.523973f;
 	val_dir[6632*3 + 0] = 0.043769f;	val_dir[6632*3 + 1] = 0.875376f;	val_dir[6632*3 + 2] = 0.481457f;
 	val_dir[6633*3 + 0] = 0.065622f;	val_dir[6633*3 + 1] = 0.896831f;	val_dir[6633*3 + 2] = 0.437479f;
 	val_dir[6634*3 + 0] = 0.087204f;	val_dir[6634*3 + 1] = 0.915644f;	val_dir[6634*3 + 2] = 0.392419f;
 	val_dir[6635*3 + 0] = 0.108338f;	val_dir[6635*3 + 1] = 0.931705f;	val_dir[6635*3 + 2] = 0.346681f;
 	val_dir[6636*3 + 0] = 0.128861f;	val_dir[6636*3 + 1] = 0.944981f;	val_dir[6636*3 + 2] = 0.300676f;
 	val_dir[6637*3 + 0] = 0.148634f;	val_dir[6637*3 + 1] = 0.955502f;	val_dir[6637*3 + 2] = 0.254801f;
 	val_dir[6638*3 + 0] = 0.167542f;	val_dir[6638*3 + 1] = 0.963364f;	val_dir[6638*3 + 2] = 0.209427f;
 	val_dir[6639*3 + 0] = 0.185498f;	val_dir[6639*3 + 1] = 0.968712f;	val_dir[6639*3 + 2] = 0.164887f;
 	val_dir[6640*3 + 0] = 0.202444f;	val_dir[6640*3 + 1] = 0.971732f;	val_dir[6640*3 + 2] = 0.121466f;
 	val_dir[6641*3 + 0] = 0.218347f;	val_dir[6641*3 + 1] = 0.972636f;	val_dir[6641*3 + 2] = 0.079399f;
 	val_dir[6642*3 + 0] = 0.233197f;	val_dir[6642*3 + 1] = 0.971653f;	val_dir[6642*3 + 2] = 0.038866f;
 	val_dir[6643*3 + 0] = 0.247004f;	val_dir[6643*3 + 1] = 0.969015f;	val_dir[6643*3 + 2] = 0.0f;
 	val_dir[6644*3 + 0] = -0.973240f;	val_dir[6644*3 + 1] = -0.228998f;	val_dir[6644*3 + 2] = 0.019083f;
 	val_dir[6645*3 + 0] = -0.974972f;	val_dir[6645*3 + 1] = -0.214494f;	val_dir[6645*3 + 2] = 0.058498f;
 	val_dir[6646*3 + 0] = -0.974943f;	val_dir[6646*3 + 1] = -0.198968f;	val_dir[6646*3 + 2] = 0.099484f;
 	val_dir[6647*3 + 0] = -0.972929f;	val_dir[6647*3 + 1] = -0.182424f;	val_dir[6647*3 + 2] = 0.141885f;
 	val_dir[6648*3 + 0] = -0.968712f;	val_dir[6648*3 + 1] = -0.164887f;	val_dir[6648*3 + 2] = 0.185498f;
 	val_dir[6649*3 + 0] = -0.962099f;	val_dir[6649*3 + 1] = -0.146406f;	val_dir[6649*3 + 2] = 0.230067f;
 	val_dir[6650*3 + 0] = -0.952928f;	val_dir[6650*3 + 1] = -0.127057f;	val_dir[6650*3 + 2] = 0.275290f;
 	val_dir[6651*3 + 0] = -0.941082f;	val_dir[6651*3 + 1] = -0.106941f;	val_dir[6651*3 + 2] = 0.320824f;
 	val_dir[6652*3 + 0] = -0.92650f;	val_dir[6652*3 + 1] = -0.086186f;	val_dir[6652*3 + 2] = 0.366291f;
 	val_dir[6653*3 + 0] = -0.909185f;	val_dir[6653*3 + 1] = -0.064942f;	val_dir[6653*3 + 2] = 0.411298f;
 	val_dir[6654*3 + 0] = -0.889206f;	val_dir[6654*3 + 1] = -0.043376f;	val_dir[6654*3 + 2] = 0.455447f;
 	val_dir[6655*3 + 0] = -0.866703f;	val_dir[6655*3 + 1] = -0.021668f;	val_dir[6655*3 + 2] = 0.498354f;
 	val_dir[6656*3 + 0] = -0.841879f;	val_dir[6656*3 + 1] = 0.0f;	val_dir[6656*3 + 2] = 0.539666f;
 	val_dir[6657*3 + 0] = -0.835215f;	val_dir[6657*3 + 1] = 0.021979f;	val_dir[6657*3 + 2] = 0.549484f;
 	val_dir[6658*3 + 0] = -0.827759f;	val_dir[6658*3 + 1] = 0.044744f;	val_dir[6658*3 + 2] = 0.559297f;
 	val_dir[6659*3 + 0] = -0.819453f;	val_dir[6659*3 + 1] = 0.068288f;	val_dir[6659*3 + 2] = 0.569064f;
 	val_dir[6660*3 + 0] = -0.810237f;	val_dir[6660*3 + 1] = 0.092599f;	val_dir[6660*3 + 2] = 0.578741f;
 	val_dir[6661*3 + 0] = -0.800055f;	val_dir[6661*3 + 1] = 0.117655f;	val_dir[6661*3 + 2] = 0.588276f;
 	val_dir[6662*3 + 0] = -0.788851f;	val_dir[6662*3 + 1] = 0.143427f;	val_dir[6662*3 + 2] = 0.597614f;
 	val_dir[6663*3 + 0] = -0.776571f;	val_dir[6663*3 + 1] = 0.169875f;	val_dir[6663*3 + 2] = 0.606696f;
 	val_dir[6664*3 + 0] = -0.763167f;	val_dir[6664*3 + 1] = 0.196946f;	val_dir[6664*3 + 2] = 0.615457f;
 	val_dir[6665*3 + 0] = -0.748598f;	val_dir[6665*3 + 1] = 0.224579f;	val_dir[6665*3 + 2] = 0.623831f;
 	val_dir[6666*3 + 0] = -0.732828f;	val_dir[6666*3 + 1] = 0.252699f;	val_dir[6666*3 + 2] = 0.631748f;
 	val_dir[6667*3 + 0] = -0.715834f;	val_dir[6667*3 + 1] = 0.281220f;	val_dir[6667*3 + 2] = 0.639138f;
 	val_dir[6668*3 + 0] = -0.697602f;	val_dir[6668*3 + 1] = 0.310045f;	val_dir[6668*3 + 2] = 0.645928f;
 	val_dir[6669*3 + 0] = -0.678133f;	val_dir[6669*3 + 1] = 0.339066f;	val_dir[6669*3 + 2] = 0.652051f;
 	val_dir[6670*3 + 0] = -0.657440f;	val_dir[6670*3 + 1] = 0.368166f;	val_dir[6670*3 + 2] = 0.657440f;
 	val_dir[6671*3 + 0] = -0.635553f;	val_dir[6671*3 + 1] = 0.397220f;	val_dir[6671*3 + 2] = 0.662034f;
 	val_dir[6672*3 + 0] = -0.612517f;	val_dir[6672*3 + 1] = 0.426099f;	val_dir[6672*3 + 2] = 0.665780f;
 	val_dir[6673*3 + 0] = -0.588395f;	val_dir[6673*3 + 1] = 0.454669f;	val_dir[6673*3 + 2] = 0.668631f;
 	val_dir[6674*3 + 0] = -0.563264f;	val_dir[6674*3 + 1] = 0.482798f;	val_dir[6674*3 + 2] = 0.670552f;
 	val_dir[6675*3 + 0] = -0.537215f;	val_dir[6675*3 + 1] = 0.510355f;	val_dir[6675*3 + 2] = 0.671519f;
 	val_dir[6676*3 + 0] = -0.510355f;	val_dir[6676*3 + 1] = 0.537215f;	val_dir[6676*3 + 2] = 0.671519f;
 	val_dir[6677*3 + 0] = -0.482798f;	val_dir[6677*3 + 1] = 0.563264f;	val_dir[6677*3 + 2] = 0.670552f;
 	val_dir[6678*3 + 0] = -0.454669f;	val_dir[6678*3 + 1] = 0.588395f;	val_dir[6678*3 + 2] = 0.668631f;
 	val_dir[6679*3 + 0] = -0.426099f;	val_dir[6679*3 + 1] = 0.612517f;	val_dir[6679*3 + 2] = 0.665780f;
 	val_dir[6680*3 + 0] = -0.397220f;	val_dir[6680*3 + 1] = 0.635553f;	val_dir[6680*3 + 2] = 0.662034f;
 	val_dir[6681*3 + 0] = -0.368166f;	val_dir[6681*3 + 1] = 0.657440f;	val_dir[6681*3 + 2] = 0.657440f;
 	val_dir[6682*3 + 0] = -0.339066f;	val_dir[6682*3 + 1] = 0.678133f;	val_dir[6682*3 + 2] = 0.652051f;
 	val_dir[6683*3 + 0] = -0.310045f;	val_dir[6683*3 + 1] = 0.697602f;	val_dir[6683*3 + 2] = 0.645928f;
 	val_dir[6684*3 + 0] = -0.281220f;	val_dir[6684*3 + 1] = 0.715834f;	val_dir[6684*3 + 2] = 0.639138f;
 	val_dir[6685*3 + 0] = -0.252699f;	val_dir[6685*3 + 1] = 0.732828f;	val_dir[6685*3 + 2] = 0.631748f;
 	val_dir[6686*3 + 0] = -0.224579f;	val_dir[6686*3 + 1] = 0.748598f;	val_dir[6686*3 + 2] = 0.623831f;
 	val_dir[6687*3 + 0] = -0.196946f;	val_dir[6687*3 + 1] = 0.763167f;	val_dir[6687*3 + 2] = 0.615457f;
 	val_dir[6688*3 + 0] = -0.169875f;	val_dir[6688*3 + 1] = 0.776571f;	val_dir[6688*3 + 2] = 0.606696f;
 	val_dir[6689*3 + 0] = -0.143427f;	val_dir[6689*3 + 1] = 0.788851f;	val_dir[6689*3 + 2] = 0.597614f;
 	val_dir[6690*3 + 0] = -0.117655f;	val_dir[6690*3 + 1] = 0.800055f;	val_dir[6690*3 + 2] = 0.588276f;
 	val_dir[6691*3 + 0] = -0.092599f;	val_dir[6691*3 + 1] = 0.810237f;	val_dir[6691*3 + 2] = 0.578741f;
 	val_dir[6692*3 + 0] = -0.068288f;	val_dir[6692*3 + 1] = 0.819453f;	val_dir[6692*3 + 2] = 0.569064f;
 	val_dir[6693*3 + 0] = -0.044744f;	val_dir[6693*3 + 1] = 0.827759f;	val_dir[6693*3 + 2] = 0.559297f;
 	val_dir[6694*3 + 0] = -0.021979f;	val_dir[6694*3 + 1] = 0.835215f;	val_dir[6694*3 + 2] = 0.549484f;
 	val_dir[6695*3 + 0] = 0.0f;	val_dir[6695*3 + 1] = 0.841879f;	val_dir[6695*3 + 2] = 0.539666f;
 	val_dir[6696*3 + 0] = 0.021668f;	val_dir[6696*3 + 1] = 0.866703f;	val_dir[6696*3 + 2] = 0.498354f;
 	val_dir[6697*3 + 0] = 0.043376f;	val_dir[6697*3 + 1] = 0.889206f;	val_dir[6697*3 + 2] = 0.455447f;
 	val_dir[6698*3 + 0] = 0.064942f;	val_dir[6698*3 + 1] = 0.909185f;	val_dir[6698*3 + 2] = 0.411298f;
 	val_dir[6699*3 + 0] = 0.086186f;	val_dir[6699*3 + 1] = 0.92650f;	val_dir[6699*3 + 2] = 0.366291f;
 	val_dir[6700*3 + 0] = 0.106941f;	val_dir[6700*3 + 1] = 0.941082f;	val_dir[6700*3 + 2] = 0.320824f;
 	val_dir[6701*3 + 0] = 0.127057f;	val_dir[6701*3 + 1] = 0.952928f;	val_dir[6701*3 + 2] = 0.275290f;
 	val_dir[6702*3 + 0] = 0.146406f;	val_dir[6702*3 + 1] = 0.962099f;	val_dir[6702*3 + 2] = 0.230067f;
 	val_dir[6703*3 + 0] = 0.164887f;	val_dir[6703*3 + 1] = 0.968712f;	val_dir[6703*3 + 2] = 0.185498f;
 	val_dir[6704*3 + 0] = 0.182424f;	val_dir[6704*3 + 1] = 0.972929f;	val_dir[6704*3 + 2] = 0.141885f;
 	val_dir[6705*3 + 0] = 0.198968f;	val_dir[6705*3 + 1] = 0.974943f;	val_dir[6705*3 + 2] = 0.099484f;
 	val_dir[6706*3 + 0] = 0.214494f;	val_dir[6706*3 + 1] = 0.974972f;	val_dir[6706*3 + 2] = 0.058498f;
 	val_dir[6707*3 + 0] = 0.228998f;	val_dir[6707*3 + 1] = 0.973240f;	val_dir[6707*3 + 2] = 0.019083f;
 	val_dir[6708*3 + 0] = -0.974391f;	val_dir[6708*3 + 1] = -0.224860f;	val_dir[6708*3 + 2] = 0.0f;
 	val_dir[6709*3 + 0] = -0.976804f;	val_dir[6709*3 + 1] = -0.210683f;	val_dir[6709*3 + 2] = 0.038306f;
 	val_dir[6710*3 + 0] = -0.977577f;	val_dir[6710*3 + 1] = -0.195515f;	val_dir[6710*3 + 2] = 0.078206f;
 	val_dir[6711*3 + 0] = -0.976491f;	val_dir[6711*3 + 1] = -0.179355f;	val_dir[6711*3 + 2] = 0.119570f;
 	val_dir[6712*3 + 0] = -0.973329f;	val_dir[6712*3 + 1] = -0.162221f;	val_dir[6712*3 + 2] = 0.162221f;
 	val_dir[6713*3 + 0] = -0.967890f;	val_dir[6713*3 + 1] = -0.144154f;	val_dir[6713*3 + 2] = 0.205934f;
 	val_dir[6714*3 + 0] = -0.960001f;	val_dir[6714*3 + 1] = -0.125218f;	val_dir[6714*3 + 2] = 0.250435f;
 	val_dir[6715*3 + 0] = -0.949528f;	val_dir[6715*3 + 1] = -0.105503f;	val_dir[6715*3 + 2] = 0.295409f;
 	val_dir[6716*3 + 0] = -0.936382f;	val_dir[6716*3 + 1] = -0.085126f;	val_dir[6716*3 + 2] = 0.340503f;
 	val_dir[6717*3 + 0] = -0.920537f;	val_dir[6717*3 + 1] = -0.064223f;	val_dir[6717*3 + 2] = 0.385341f;
 	val_dir[6718*3 + 0] = -0.902027f;	val_dir[6718*3 + 1] = -0.042954f;	val_dir[6718*3 + 2] = 0.429537f;
 	val_dir[6719*3 + 0] = -0.880957f;	val_dir[6719*3 + 1] = -0.021487f;	val_dir[6719*3 + 2] = 0.472709f;
 	val_dir[6720*3 + 0] = -0.857493f;	val_dir[6720*3 + 1] = 0.0f;	val_dir[6720*3 + 2] = 0.514496f;
 	val_dir[6721*3 + 0] = -0.851455f;	val_dir[6721*3 + 1] = 0.021832f;	val_dir[6721*3 + 2] = 0.523973f;
 	val_dir[6722*3 + 0] = -0.844653f;	val_dir[6722*3 + 1] = 0.044455f;	val_dir[6722*3 + 2] = 0.533465f;
 	val_dir[6723*3 + 0] = -0.837027f;	val_dir[6723*3 + 1] = 0.067867f;	val_dir[6723*3 + 2] = 0.542936f;
 	val_dir[6724*3 + 0] = -0.828517f;	val_dir[6724*3 + 1] = 0.092057f;	val_dir[6724*3 + 2] = 0.552345f;
 	val_dir[6725*3 + 0] = -0.819064f;	val_dir[6725*3 + 1] = 0.117009f;	val_dir[6725*3 + 2] = 0.561644f;
 	val_dir[6726*3 + 0] = -0.808608f;	val_dir[6726*3 + 1] = 0.142695f;	val_dir[6726*3 + 2] = 0.570782f;
 	val_dir[6727*3 + 0] = -0.797092f;	val_dir[6727*3 + 1] = 0.169080f;	val_dir[6727*3 + 2] = 0.579703f;
 	val_dir[6728*3 + 0] = -0.784465f;	val_dir[6728*3 + 1] = 0.196116f;	val_dir[6728*3 + 2] = 0.588348f;
 	val_dir[6729*3 + 0] = -0.770677f;	val_dir[6729*3 + 1] = 0.223745f;	val_dir[6729*3 + 2] = 0.596653f;
 	val_dir[6730*3 + 0] = -0.755689f;	val_dir[6730*3 + 1] = 0.251896f;	val_dir[6730*3 + 2] = 0.604551f;
 	val_dir[6731*3 + 0] = -0.739469f;	val_dir[6731*3 + 1] = 0.280488f;	val_dir[6731*3 + 2] = 0.611974f;
 	val_dir[6732*3 + 0] = -0.721995f;	val_dir[6732*3 + 1] = 0.309426f;	val_dir[6732*3 + 2] = 0.618853f;
 	val_dir[6733*3 + 0] = -0.703259f;	val_dir[6733*3 + 1] = 0.338606f;	val_dir[6733*3 + 2] = 0.625119f;
 	val_dir[6734*3 + 0] = -0.683265f;	val_dir[6734*3 + 1] = 0.367912f;	val_dir[6734*3 + 2] = 0.630706f;
 	val_dir[6735*3 + 0] = -0.662034f;	val_dir[6735*3 + 1] = 0.397220f;	val_dir[6735*3 + 2] = 0.635553f;
 	val_dir[6736*3 + 0] = -0.639602f;	val_dir[6736*3 + 1] = 0.426401f;	val_dir[6736*3 + 2] = 0.639602f;
 	val_dir[6737*3 + 0] = -0.616022f;	val_dir[6737*3 + 1] = 0.455321f;	val_dir[6737*3 + 2] = 0.642806f;
 	val_dir[6738*3 + 0] = -0.591364f;	val_dir[6738*3 + 1] = 0.483843f;	val_dir[6738*3 + 2] = 0.645124f;
 	val_dir[6739*3 + 0] = -0.565711f;	val_dir[6739*3 + 1] = 0.511834f;	val_dir[6739*3 + 2] = 0.646527f;
 	val_dir[6740*3 + 0] = -0.539164f;	val_dir[6740*3 + 1] = 0.539164f;	val_dir[6740*3 + 2] = 0.646997f;
 	val_dir[6741*3 + 0] = -0.511834f;	val_dir[6741*3 + 1] = 0.565711f;	val_dir[6741*3 + 2] = 0.646527f;
 	val_dir[6742*3 + 0] = -0.483843f;	val_dir[6742*3 + 1] = 0.591364f;	val_dir[6742*3 + 2] = 0.645124f;
 	val_dir[6743*3 + 0] = -0.455321f;	val_dir[6743*3 + 1] = 0.616022f;	val_dir[6743*3 + 2] = 0.642806f;
 	val_dir[6744*3 + 0] = -0.426401f;	val_dir[6744*3 + 1] = 0.639602f;	val_dir[6744*3 + 2] = 0.639602f;
 	val_dir[6745*3 + 0] = -0.397220f;	val_dir[6745*3 + 1] = 0.662034f;	val_dir[6745*3 + 2] = 0.635553f;
 	val_dir[6746*3 + 0] = -0.367912f;	val_dir[6746*3 + 1] = 0.683265f;	val_dir[6746*3 + 2] = 0.630706f;
 	val_dir[6747*3 + 0] = -0.338606f;	val_dir[6747*3 + 1] = 0.703259f;	val_dir[6747*3 + 2] = 0.625119f;
 	val_dir[6748*3 + 0] = -0.309426f;	val_dir[6748*3 + 1] = 0.721995f;	val_dir[6748*3 + 2] = 0.618853f;
 	val_dir[6749*3 + 0] = -0.280488f;	val_dir[6749*3 + 1] = 0.739469f;	val_dir[6749*3 + 2] = 0.611974f;
 	val_dir[6750*3 + 0] = -0.251896f;	val_dir[6750*3 + 1] = 0.755689f;	val_dir[6750*3 + 2] = 0.604551f;
 	val_dir[6751*3 + 0] = -0.223745f;	val_dir[6751*3 + 1] = 0.770677f;	val_dir[6751*3 + 2] = 0.596653f;
 	val_dir[6752*3 + 0] = -0.196116f;	val_dir[6752*3 + 1] = 0.784465f;	val_dir[6752*3 + 2] = 0.588348f;
 	val_dir[6753*3 + 0] = -0.169080f;	val_dir[6753*3 + 1] = 0.797092f;	val_dir[6753*3 + 2] = 0.579703f;
 	val_dir[6754*3 + 0] = -0.142695f;	val_dir[6754*3 + 1] = 0.808608f;	val_dir[6754*3 + 2] = 0.570782f;
 	val_dir[6755*3 + 0] = -0.117009f;	val_dir[6755*3 + 1] = 0.819064f;	val_dir[6755*3 + 2] = 0.561644f;
 	val_dir[6756*3 + 0] = -0.092057f;	val_dir[6756*3 + 1] = 0.828517f;	val_dir[6756*3 + 2] = 0.552345f;
 	val_dir[6757*3 + 0] = -0.067867f;	val_dir[6757*3 + 1] = 0.837027f;	val_dir[6757*3 + 2] = 0.542936f;
 	val_dir[6758*3 + 0] = -0.044455f;	val_dir[6758*3 + 1] = 0.844653f;	val_dir[6758*3 + 2] = 0.533465f;
 	val_dir[6759*3 + 0] = -0.021832f;	val_dir[6759*3 + 1] = 0.851455f;	val_dir[6759*3 + 2] = 0.523973f;
 	val_dir[6760*3 + 0] = 0.0f;	val_dir[6760*3 + 1] = 0.857493f;	val_dir[6760*3 + 2] = 0.514496f;
 	val_dir[6761*3 + 0] = 0.021487f;	val_dir[6761*3 + 1] = 0.880957f;	val_dir[6761*3 + 2] = 0.472709f;
 	val_dir[6762*3 + 0] = 0.042954f;	val_dir[6762*3 + 1] = 0.902027f;	val_dir[6762*3 + 2] = 0.429537f;
 	val_dir[6763*3 + 0] = 0.064223f;	val_dir[6763*3 + 1] = 0.920537f;	val_dir[6763*3 + 2] = 0.385341f;
 	val_dir[6764*3 + 0] = 0.085126f;	val_dir[6764*3 + 1] = 0.936382f;	val_dir[6764*3 + 2] = 0.340503f;
 	val_dir[6765*3 + 0] = 0.105503f;	val_dir[6765*3 + 1] = 0.949528f;	val_dir[6765*3 + 2] = 0.295409f;
 	val_dir[6766*3 + 0] = 0.125218f;	val_dir[6766*3 + 1] = 0.960001f;	val_dir[6766*3 + 2] = 0.250435f;
 	val_dir[6767*3 + 0] = 0.144154f;	val_dir[6767*3 + 1] = 0.967890f;	val_dir[6767*3 + 2] = 0.205934f;
 	val_dir[6768*3 + 0] = 0.162221f;	val_dir[6768*3 + 1] = 0.973329f;	val_dir[6768*3 + 2] = 0.162221f;
 	val_dir[6769*3 + 0] = 0.179355f;	val_dir[6769*3 + 1] = 0.976491f;	val_dir[6769*3 + 2] = 0.119570f;
 	val_dir[6770*3 + 0] = 0.195515f;	val_dir[6770*3 + 1] = 0.977577f;	val_dir[6770*3 + 2] = 0.078206f;
 	val_dir[6771*3 + 0] = 0.210683f;	val_dir[6771*3 + 1] = 0.976804f;	val_dir[6771*3 + 2] = 0.038306f;
 	val_dir[6772*3 + 0] = 0.224860f;	val_dir[6772*3 + 1] = 0.974391f;	val_dir[6772*3 + 2] = 0.0f;
 	val_dir[6773*3 + 0] = -0.978177f;	val_dir[6773*3 + 1] = -0.206922f;	val_dir[6773*3 + 2] = 0.018811f;
 	val_dir[6774*3 + 0] = -0.979683f;	val_dir[6774*3 + 1] = -0.192095f;	val_dir[6774*3 + 2] = 0.057628f;
 	val_dir[6775*3 + 0] = -0.979451f;	val_dir[6775*3 + 1] = -0.176301f;	val_dir[6775*3 + 2] = 0.097945f;
 	val_dir[6776*3 + 0] = -0.977267f;	val_dir[6776*3 + 1] = -0.159554f;	val_dir[6776*3 + 2] = 0.139610f;
 	val_dir[6777*3 + 0] = -0.972929f;	val_dir[6777*3 + 1] = -0.141885f;	val_dir[6777*3 + 2] = 0.182424f;
 	val_dir[6778*3 + 0] = -0.966252f;	val_dir[6778*3 + 1] = -0.123351f;	val_dir[6778*3 + 2] = 0.226144f;
 	val_dir[6779*3 + 0] = -0.957088f;	val_dir[6779*3 + 1] = -0.104031f;	val_dir[6779*3 + 2] = 0.270481f;
 	val_dir[6780*3 + 0] = -0.945328f;	val_dir[6780*3 + 1] = -0.084029f;	val_dir[6780*3 + 2] = 0.315109f;
 	val_dir[6781*3 + 0] = -0.930917f;	val_dir[6781*3 + 1] = -0.063472f;	val_dir[6781*3 + 2] = 0.359673f;
 	val_dir[6782*3 + 0] = -0.913860f;	val_dir[6782*3 + 1] = -0.042505f;	val_dir[6782*3 + 2] = 0.403799f;
 	val_dir[6783*3 + 0] = -0.894224f;	val_dir[6783*3 + 1] = -0.021291f;	val_dir[6783*3 + 2] = 0.447112f;
 	val_dir[6784*3 + 0] = -0.872143f;	val_dir[6784*3 + 1] = 0.0f;	val_dir[6784*3 + 2] = 0.489251f;
 	val_dir[6785*3 + 0] = -0.866703f;	val_dir[6785*3 + 1] = 0.021668f;	val_dir[6785*3 + 2] = 0.498354f;
 	val_dir[6786*3 + 0] = -0.860527f;	val_dir[6786*3 + 1] = 0.044130f;	val_dir[6786*3 + 2] = 0.507490f;
 	val_dir[6787*3 + 0] = -0.853556f;	val_dir[6787*3 + 1] = 0.067386f;	val_dir[6787*3 + 2] = 0.516626f;
 	val_dir[6788*3 + 0] = -0.845728f;	val_dir[6788*3 + 1] = 0.091430f;	val_dir[6788*3 + 2] = 0.525723f;
 	val_dir[6789*3 + 0] = -0.836983f;	val_dir[6789*3 + 1] = 0.116248f;	val_dir[6789*3 + 2] = 0.534739f;
 	val_dir[6790*3 + 0] = -0.827259f;	val_dir[6790*3 + 1] = 0.141816f;	val_dir[6790*3 + 2] = 0.543627f;
 	val_dir[6791*3 + 0] = -0.816497f;	val_dir[6791*3 + 1] = 0.168102f;	val_dir[6791*3 + 2] = 0.552336f;
 	val_dir[6792*3 + 0] = -0.804639f;	val_dir[6792*3 + 1] = 0.195064f;	val_dir[6792*3 + 2] = 0.560809f;
 	val_dir[6793*3 + 0] = -0.791633f;	val_dir[6793*3 + 1] = 0.222647f;	val_dir[6793*3 + 2] = 0.568986f;
 	val_dir[6794*3 + 0] = -0.777433f;	val_dir[6794*3 + 1] = 0.250785f;	val_dir[6794*3 + 2] = 0.576805f;
 	val_dir[6795*3 + 0] = -0.762001f;	val_dir[6795*3 + 1] = 0.27940f;	val_dir[6795*3 + 2] = 0.584201f;
 	val_dir[6796*3 + 0] = -0.745307f;	val_dir[6796*3 + 1] = 0.308403f;	val_dir[6796*3 + 2] = 0.591105f;
 	val_dir[6797*3 + 0] = -0.727334f;	val_dir[6797*3 + 1] = 0.337691f;	val_dir[6797*3 + 2] = 0.597453f;
 	val_dir[6798*3 + 0] = -0.708079f;	val_dir[6798*3 + 1] = 0.367152f;	val_dir[6798*3 + 2] = 0.603178f;
 	val_dir[6799*3 + 0] = -0.687552f;	val_dir[6799*3 + 1] = 0.396664f;	val_dir[6799*3 + 2] = 0.608219f;
 	val_dir[6800*3 + 0] = -0.665780f;	val_dir[6800*3 + 1] = 0.426099f;	val_dir[6800*3 + 2] = 0.612517f;
 	val_dir[6801*3 + 0] = -0.642806f;	val_dir[6801*3 + 1] = 0.455321f;	val_dir[6801*3 + 2] = 0.616022f;
 	val_dir[6802*3 + 0] = -0.618691f;	val_dir[6802*3 + 1] = 0.484193f;	val_dir[6802*3 + 2] = 0.618691f;
 	val_dir[6803*3 + 0] = -0.593512f;	val_dir[6803*3 + 1] = 0.512578f;	val_dir[6803*3 + 2] = 0.620490f;
 	val_dir[6804*3 + 0] = -0.567360f;	val_dir[6804*3 + 1] = 0.540343f;	val_dir[6804*3 + 2] = 0.621395f;
 	val_dir[6805*3 + 0] = -0.540343f;	val_dir[6805*3 + 1] = 0.567360f;	val_dir[6805*3 + 2] = 0.621395f;
 	val_dir[6806*3 + 0] = -0.512578f;	val_dir[6806*3 + 1] = 0.593512f;	val_dir[6806*3 + 2] = 0.620490f;
 	val_dir[6807*3 + 0] = -0.484193f;	val_dir[6807*3 + 1] = 0.618691f;	val_dir[6807*3 + 2] = 0.618691f;
 	val_dir[6808*3 + 0] = -0.455321f;	val_dir[6808*3 + 1] = 0.642806f;	val_dir[6808*3 + 2] = 0.616022f;
 	val_dir[6809*3 + 0] = -0.426099f;	val_dir[6809*3 + 1] = 0.665780f;	val_dir[6809*3 + 2] = 0.612517f;
 	val_dir[6810*3 + 0] = -0.396664f;	val_dir[6810*3 + 1] = 0.687552f;	val_dir[6810*3 + 2] = 0.608219f;
 	val_dir[6811*3 + 0] = -0.367152f;	val_dir[6811*3 + 1] = 0.708079f;	val_dir[6811*3 + 2] = 0.603178f;
 	val_dir[6812*3 + 0] = -0.337691f;	val_dir[6812*3 + 1] = 0.727334f;	val_dir[6812*3 + 2] = 0.597453f;
 	val_dir[6813*3 + 0] = -0.308403f;	val_dir[6813*3 + 1] = 0.745307f;	val_dir[6813*3 + 2] = 0.591105f;
 	val_dir[6814*3 + 0] = -0.27940f;	val_dir[6814*3 + 1] = 0.762001f;	val_dir[6814*3 + 2] = 0.584201f;
 	val_dir[6815*3 + 0] = -0.250785f;	val_dir[6815*3 + 1] = 0.777433f;	val_dir[6815*3 + 2] = 0.576805f;
 	val_dir[6816*3 + 0] = -0.222647f;	val_dir[6816*3 + 1] = 0.791633f;	val_dir[6816*3 + 2] = 0.568986f;
 	val_dir[6817*3 + 0] = -0.195064f;	val_dir[6817*3 + 1] = 0.804639f;	val_dir[6817*3 + 2] = 0.560809f;
 	val_dir[6818*3 + 0] = -0.168102f;	val_dir[6818*3 + 1] = 0.816497f;	val_dir[6818*3 + 2] = 0.552336f;
 	val_dir[6819*3 + 0] = -0.141816f;	val_dir[6819*3 + 1] = 0.827259f;	val_dir[6819*3 + 2] = 0.543627f;
 	val_dir[6820*3 + 0] = -0.116248f;	val_dir[6820*3 + 1] = 0.836983f;	val_dir[6820*3 + 2] = 0.534739f;
 	val_dir[6821*3 + 0] = -0.091430f;	val_dir[6821*3 + 1] = 0.845728f;	val_dir[6821*3 + 2] = 0.525723f;
 	val_dir[6822*3 + 0] = -0.067386f;	val_dir[6822*3 + 1] = 0.853556f;	val_dir[6822*3 + 2] = 0.516626f;
 	val_dir[6823*3 + 0] = -0.044130f;	val_dir[6823*3 + 1] = 0.860527f;	val_dir[6823*3 + 2] = 0.507490f;
 	val_dir[6824*3 + 0] = -0.021668f;	val_dir[6824*3 + 1] = 0.866703f;	val_dir[6824*3 + 2] = 0.498354f;
 	val_dir[6825*3 + 0] = 0.0f;	val_dir[6825*3 + 1] = 0.872143f;	val_dir[6825*3 + 2] = 0.489251f;
 	val_dir[6826*3 + 0] = 0.021291f;	val_dir[6826*3 + 1] = 0.894224f;	val_dir[6826*3 + 2] = 0.447112f;
 	val_dir[6827*3 + 0] = 0.042505f;	val_dir[6827*3 + 1] = 0.913860f;	val_dir[6827*3 + 2] = 0.403799f;
 	val_dir[6828*3 + 0] = 0.063472f;	val_dir[6828*3 + 1] = 0.930917f;	val_dir[6828*3 + 2] = 0.359673f;
 	val_dir[6829*3 + 0] = 0.084029f;	val_dir[6829*3 + 1] = 0.945328f;	val_dir[6829*3 + 2] = 0.315109f;
 	val_dir[6830*3 + 0] = 0.104031f;	val_dir[6830*3 + 1] = 0.957088f;	val_dir[6830*3 + 2] = 0.270481f;
 	val_dir[6831*3 + 0] = 0.123351f;	val_dir[6831*3 + 1] = 0.966252f;	val_dir[6831*3 + 2] = 0.226144f;
 	val_dir[6832*3 + 0] = 0.141885f;	val_dir[6832*3 + 1] = 0.972929f;	val_dir[6832*3 + 2] = 0.182424f;
 	val_dir[6833*3 + 0] = 0.159554f;	val_dir[6833*3 + 1] = 0.977267f;	val_dir[6833*3 + 2] = 0.139610f;
 	val_dir[6834*3 + 0] = 0.176301f;	val_dir[6834*3 + 1] = 0.979451f;	val_dir[6834*3 + 2] = 0.097945f;
 	val_dir[6835*3 + 0] = 0.192095f;	val_dir[6835*3 + 1] = 0.979683f;	val_dir[6835*3 + 2] = 0.057628f;
 	val_dir[6836*3 + 0] = 0.206922f;	val_dir[6836*3 + 1] = 0.978177f;	val_dir[6836*3 + 2] = 0.018811f;
 	val_dir[6837*3 + 0] = -0.979134f;	val_dir[6837*3 + 1] = -0.203216f;	val_dir[6837*3 + 2] = 0.0f;
 	val_dir[6838*3 + 0] = -0.981307f;	val_dir[6838*3 + 1] = -0.188713f;	val_dir[6838*3 + 2] = 0.037743f;
 	val_dir[6839*3 + 0] = -0.981859f;	val_dir[6839*3 + 1] = -0.173269f;	val_dir[6839*3 + 2] = 0.077009f;
 	val_dir[6840*3 + 0] = -0.980581f;	val_dir[6840*3 + 1] = -0.156893f;	val_dir[6840*3 + 2] = 0.117670f;
 	val_dir[6841*3 + 0] = -0.977267f;	val_dir[6841*3 + 1] = -0.139610f;	val_dir[6841*3 + 2] = 0.159554f;
 	val_dir[6842*3 + 0] = -0.971732f;	val_dir[6842*3 + 1] = -0.121466f;	val_dir[6842*3 + 2] = 0.202444f;
 	val_dir[6843*3 + 0] = -0.963811f;	val_dir[6843*3 + 1] = -0.102533f;	val_dir[6843*3 + 2] = 0.246079f;
 	val_dir[6844*3 + 0] = -0.953381f;	val_dir[6844*3 + 1] = -0.082903f;	val_dir[6844*3 + 2] = 0.290159f;
 	val_dir[6845*3 + 0] = -0.940361f;	val_dir[6845*3 + 1] = -0.062691f;	val_dir[6845*3 + 2] = 0.334351f;
 	val_dir[6846*3 + 0] = -0.924729f;	val_dir[6846*3 + 1] = -0.042033f;	val_dir[6846*3 + 2] = 0.378298f;
 	val_dir[6847*3 + 0] = -0.906520f;	val_dir[6847*3 + 1] = -0.021082f;	val_dir[6847*3 + 2] = 0.421637f;
 	val_dir[6848*3 + 0] = -0.885832f;	val_dir[6848*3 + 1] = 0.0f;	val_dir[6848*3 + 2] = 0.464007f;
 	val_dir[6849*3 + 0] = -0.880957f;	val_dir[6849*3 + 1] = 0.021487f;	val_dir[6849*3 + 2] = 0.472709f;
 	val_dir[6850*3 + 0] = -0.875376f;	val_dir[6850*3 + 1] = 0.043769f;	val_dir[6850*3 + 2] = 0.481457f;
 	val_dir[6851*3 + 0] = -0.869030f;	val_dir[6851*3 + 1] = 0.066848f;	val_dir[6851*3 + 2] = 0.490222f;
 	val_dir[6852*3 + 0] = -0.861857f;	val_dir[6852*3 + 1] = 0.090722f;	val_dir[6852*3 + 2] = 0.498970f;
 	val_dir[6853*3 + 0] = -0.853796f;	val_dir[6853*3 + 1] = 0.115378f;	val_dir[6853*3 + 2] = 0.507662f;
 	val_dir[6854*3 + 0] = -0.844782f;	val_dir[6854*3 + 1] = 0.140797f;	val_dir[6854*3 + 2] = 0.516256f;
 	val_dir[6855*3 + 0] = -0.834754f;	val_dir[6855*3 + 1] = 0.166951f;	val_dir[6855*3 + 2] = 0.524703f;
 	val_dir[6856*3 + 0] = -0.823653f;	val_dir[6856*3 + 1] = 0.193801f;	val_dir[6856*3 + 2] = 0.532952f;
 	val_dir[6857*3 + 0] = -0.811421f;	val_dir[6857*3 + 1] = 0.221297f;	val_dir[6857*3 + 2] = 0.540947f;
 	val_dir[6858*3 + 0] = -0.798007f;	val_dir[6858*3 + 1] = 0.249377f;	val_dir[6858*3 + 2] = 0.548630f;
 	val_dir[6859*3 + 0] = -0.783368f;	val_dir[6859*3 + 1] = 0.277969f;	val_dir[6859*3 + 2] = 0.555939f;
 	val_dir[6860*3 + 0] = -0.767467f;	val_dir[6860*3 + 1] = 0.306987f;	val_dir[6860*3 + 2] = 0.562809f;
 	val_dir[6861*3 + 0] = -0.750279f;	val_dir[6861*3 + 1] = 0.336332f;	val_dir[6861*3 + 2] = 0.569177f;
 	val_dir[6862*3 + 0] = -0.731792f;	val_dir[6862*3 + 1] = 0.365896f;	val_dir[6862*3 + 2] = 0.574979f;
 	val_dir[6863*3 + 0] = -0.712007f;	val_dir[6863*3 + 1] = 0.395559f;	val_dir[6863*3 + 2] = 0.580154f;
 	val_dir[6864*3 + 0] = -0.690942f;	val_dir[6864*3 + 1] = 0.425195f;	val_dir[6864*3 + 2] = 0.584643f;
 	val_dir[6865*3 + 0] = -0.668631f;	val_dir[6865*3 + 1] = 0.454669f;	val_dir[6865*3 + 2] = 0.588395f;
 	val_dir[6866*3 + 0] = -0.645124f;	val_dir[6866*3 + 1] = 0.483843f;	val_dir[6866*3 + 2] = 0.591364f;
 	val_dir[6867*3 + 0] = -0.620490f;	val_dir[6867*3 + 1] = 0.512578f;	val_dir[6867*3 + 2] = 0.593512f;
 	val_dir[6868*3 + 0] = -0.594812f;	val_dir[6868*3 + 1] = 0.540738f;	val_dir[6868*3 + 2] = 0.594812f;
 	val_dir[6869*3 + 0] = -0.568190f;	val_dir[6869*3 + 1] = 0.568190f;	val_dir[6869*3 + 2] = 0.595247f;
 	val_dir[6870*3 + 0] = -0.540738f;	val_dir[6870*3 + 1] = 0.594812f;	val_dir[6870*3 + 2] = 0.594812f;
 	val_dir[6871*3 + 0] = -0.512578f;	val_dir[6871*3 + 1] = 0.620490f;	val_dir[6871*3 + 2] = 0.593512f;
 	val_dir[6872*3 + 0] = -0.483843f;	val_dir[6872*3 + 1] = 0.645124f;	val_dir[6872*3 + 2] = 0.591364f;
 	val_dir[6873*3 + 0] = -0.454669f;	val_dir[6873*3 + 1] = 0.668631f;	val_dir[6873*3 + 2] = 0.588395f;
 	val_dir[6874*3 + 0] = -0.425195f;	val_dir[6874*3 + 1] = 0.690942f;	val_dir[6874*3 + 2] = 0.584643f;
 	val_dir[6875*3 + 0] = -0.395559f;	val_dir[6875*3 + 1] = 0.712007f;	val_dir[6875*3 + 2] = 0.580154f;
 	val_dir[6876*3 + 0] = -0.365896f;	val_dir[6876*3 + 1] = 0.731792f;	val_dir[6876*3 + 2] = 0.574979f;
 	val_dir[6877*3 + 0] = -0.336332f;	val_dir[6877*3 + 1] = 0.750279f;	val_dir[6877*3 + 2] = 0.569177f;
 	val_dir[6878*3 + 0] = -0.306987f;	val_dir[6878*3 + 1] = 0.767467f;	val_dir[6878*3 + 2] = 0.562809f;
 	val_dir[6879*3 + 0] = -0.277969f;	val_dir[6879*3 + 1] = 0.783368f;	val_dir[6879*3 + 2] = 0.555939f;
 	val_dir[6880*3 + 0] = -0.249377f;	val_dir[6880*3 + 1] = 0.798007f;	val_dir[6880*3 + 2] = 0.548630f;
 	val_dir[6881*3 + 0] = -0.221297f;	val_dir[6881*3 + 1] = 0.811421f;	val_dir[6881*3 + 2] = 0.540947f;
 	val_dir[6882*3 + 0] = -0.193801f;	val_dir[6882*3 + 1] = 0.823653f;	val_dir[6882*3 + 2] = 0.532952f;
 	val_dir[6883*3 + 0] = -0.166951f;	val_dir[6883*3 + 1] = 0.834754f;	val_dir[6883*3 + 2] = 0.524703f;
 	val_dir[6884*3 + 0] = -0.140797f;	val_dir[6884*3 + 1] = 0.844782f;	val_dir[6884*3 + 2] = 0.516256f;
 	val_dir[6885*3 + 0] = -0.115378f;	val_dir[6885*3 + 1] = 0.853796f;	val_dir[6885*3 + 2] = 0.507662f;
 	val_dir[6886*3 + 0] = -0.090722f;	val_dir[6886*3 + 1] = 0.861857f;	val_dir[6886*3 + 2] = 0.498970f;
 	val_dir[6887*3 + 0] = -0.066848f;	val_dir[6887*3 + 1] = 0.869030f;	val_dir[6887*3 + 2] = 0.490222f;
 	val_dir[6888*3 + 0] = -0.043769f;	val_dir[6888*3 + 1] = 0.875376f;	val_dir[6888*3 + 2] = 0.481457f;
 	val_dir[6889*3 + 0] = -0.021487f;	val_dir[6889*3 + 1] = 0.880957f;	val_dir[6889*3 + 2] = 0.472709f;
 	val_dir[6890*3 + 0] = 0.0f;	val_dir[6890*3 + 1] = 0.885832f;	val_dir[6890*3 + 2] = 0.464007f;
 	val_dir[6891*3 + 0] = 0.021082f;	val_dir[6891*3 + 1] = 0.906520f;	val_dir[6891*3 + 2] = 0.421637f;
 	val_dir[6892*3 + 0] = 0.042033f;	val_dir[6892*3 + 1] = 0.924729f;	val_dir[6892*3 + 2] = 0.378298f;
 	val_dir[6893*3 + 0] = 0.062691f;	val_dir[6893*3 + 1] = 0.940361f;	val_dir[6893*3 + 2] = 0.334351f;
 	val_dir[6894*3 + 0] = 0.082903f;	val_dir[6894*3 + 1] = 0.953381f;	val_dir[6894*3 + 2] = 0.290159f;
 	val_dir[6895*3 + 0] = 0.102533f;	val_dir[6895*3 + 1] = 0.963811f;	val_dir[6895*3 + 2] = 0.246079f;
 	val_dir[6896*3 + 0] = 0.121466f;	val_dir[6896*3 + 1] = 0.971732f;	val_dir[6896*3 + 2] = 0.202444f;
 	val_dir[6897*3 + 0] = 0.139610f;	val_dir[6897*3 + 1] = 0.977267f;	val_dir[6897*3 + 2] = 0.159554f;
 	val_dir[6898*3 + 0] = 0.156893f;	val_dir[6898*3 + 1] = 0.980581f;	val_dir[6898*3 + 2] = 0.117670f;
 	val_dir[6899*3 + 0] = 0.173269f;	val_dir[6899*3 + 1] = 0.981859f;	val_dir[6899*3 + 2] = 0.077009f;
 	val_dir[6900*3 + 0] = 0.188713f;	val_dir[6900*3 + 1] = 0.981307f;	val_dir[6900*3 + 2] = 0.037743f;
 	val_dir[6901*3 + 0] = 0.203216f;	val_dir[6901*3 + 1] = 0.979134f;	val_dir[6901*3 + 2] = 0.0f;
 	val_dir[6902*3 + 0] = -0.982493f;	val_dir[6902*3 + 1] = -0.185376f;	val_dir[6902*3 + 2] = 0.018538f;
 	val_dir[6903*3 + 0] = -0.983762f;	val_dir[6903*3 + 1] = -0.170267f;	val_dir[6903*3 + 2] = 0.056756f;
 	val_dir[6904*3 + 0] = -0.983318f;	val_dir[6904*3 + 1] = -0.154246f;	val_dir[6904*3 + 2] = 0.096404f;
 	val_dir[6905*3 + 0] = -0.980958f;	val_dir[6905*3 + 1] = -0.137334f;	val_dir[6905*3 + 2] = 0.137334f;
 	val_dir[6906*3 + 0] = -0.976491f;	val_dir[6906*3 + 1] = -0.119570f;	val_dir[6906*3 + 2] = 0.179355f;
 	val_dir[6907*3 + 0] = -0.969746f;	val_dir[6907*3 + 1] = -0.101015f;	val_dir[6907*3 + 2] = 0.222234f;
 	val_dir[6908*3 + 0] = -0.960585f;	val_dir[6908*3 + 1] = -0.081752f;	val_dir[6908*3 + 2] = 0.265694f;
 	val_dir[6909*3 + 0] = -0.948908f;	val_dir[6909*3 + 1] = -0.061885f;	val_dir[6909*3 + 2] = 0.309426f;
 	val_dir[6910*3 + 0] = -0.934665f;	val_dir[6910*3 + 1] = -0.041541f;	val_dir[6910*3 + 2] = 0.353096f;
 	val_dir[6911*3 + 0] = -0.917863f;	val_dir[6911*3 + 1] = -0.020861f;	val_dir[6911*3 + 2] = 0.396350f;
 	val_dir[6912*3 + 0] = -0.898567f;	val_dir[6912*3 + 1] = 0.0f;	val_dir[6912*3 + 2] = 0.438835f;
 	val_dir[6913*3 + 0] = -0.894224f;	val_dir[6913*3 + 1] = 0.021291f;	val_dir[6913*3 + 2] = 0.447112f;
 	val_dir[6914*3 + 0] = -0.889206f;	val_dir[6914*3 + 1] = 0.043376f;	val_dir[6914*3 + 2] = 0.455447f;
 	val_dir[6915*3 + 0] = -0.883452f;	val_dir[6915*3 + 1] = 0.066259f;	val_dir[6915*3 + 2] = 0.463812f;
 	val_dir[6916*3 + 0] = -0.876903f;	val_dir[6916*3 + 1] = 0.089939f;	val_dir[6916*3 + 2] = 0.472178f;
 	val_dir[6917*3 + 0] = -0.869495f;	val_dir[6917*3 + 1] = 0.114407f;	val_dir[6917*3 + 2] = 0.480510f;
 	val_dir[6918*3 + 0] = -0.861164f;	val_dir[6918*3 + 1] = 0.139648f;	val_dir[6918*3 + 2] = 0.488769f;
 	val_dir[6919*3 + 0] = -0.851847f;	val_dir[6919*3 + 1] = 0.165637f;	val_dir[6919*3 + 2] = 0.496911f;
 	val_dir[6920*3 + 0] = -0.841482f;	val_dir[6920*3 + 1] = 0.192339f;	val_dir[6920*3 + 2] = 0.504889f;
 	val_dir[6921*3 + 0] = -0.830009f;	val_dir[6921*3 + 1] = 0.219708f;	val_dir[6921*3 + 2] = 0.512653f;
 	val_dir[6922*3 + 0] = -0.817373f;	val_dir[6922*3 + 1] = 0.247689f;	val_dir[6922*3 + 2] = 0.520146f;
 	val_dir[6923*3 + 0] = -0.803523f;	val_dir[6923*3 + 1] = 0.276211f;	val_dir[6923*3 + 2] = 0.527312f;
 	val_dir[6924*3 + 0] = -0.788419f;	val_dir[6924*3 + 1] = 0.305194f;	val_dir[6924*3 + 2] = 0.534090f;
 	val_dir[6925*3 + 0] = -0.772027f;	val_dir[6925*3 + 1] = 0.334545f;	val_dir[6925*3 + 2] = 0.540419f;
 	val_dir[6926*3 + 0] = -0.754329f;	val_dir[6926*3 + 1] = 0.364159f;	val_dir[6926*3 + 2] = 0.546238f;
 	val_dir[6927*3 + 0] = -0.735316f;	val_dir[6927*3 + 1] = 0.393919f;	val_dir[6927*3 + 2] = 0.551487f;
 	val_dir[6928*3 + 0] = -0.714997f;	val_dir[6928*3 + 1] = 0.423702f;	val_dir[6928*3 + 2] = 0.556108f;
 	val_dir[6929*3 + 0] = -0.693395f;	val_dir[6929*3 + 1] = 0.453374f;	val_dir[6929*3 + 2] = 0.560050f;
 	val_dir[6930*3 + 0] = -0.670552f;	val_dir[6930*3 + 1] = 0.482798f;	val_dir[6930*3 + 2] = 0.563264f;
 	val_dir[6931*3 + 0] = -0.646527f;	val_dir[6931*3 + 1] = 0.511834f;	val_dir[6931*3 + 2] = 0.565711f;
 	val_dir[6932*3 + 0] = -0.621395f;	val_dir[6932*3 + 1] = 0.540343f;	val_dir[6932*3 + 2] = 0.567360f;
 	val_dir[6933*3 + 0] = -0.595247f;	val_dir[6933*3 + 1] = 0.568190f;	val_dir[6933*3 + 2] = 0.568190f;
 	val_dir[6934*3 + 0] = -0.568190f;	val_dir[6934*3 + 1] = 0.595247f;	val_dir[6934*3 + 2] = 0.568190f;
 	val_dir[6935*3 + 0] = -0.540343f;	val_dir[6935*3 + 1] = 0.621395f;	val_dir[6935*3 + 2] = 0.567360f;
 	val_dir[6936*3 + 0] = -0.511834f;	val_dir[6936*3 + 1] = 0.646527f;	val_dir[6936*3 + 2] = 0.565711f;
 	val_dir[6937*3 + 0] = -0.482798f;	val_dir[6937*3 + 1] = 0.670552f;	val_dir[6937*3 + 2] = 0.563264f;
 	val_dir[6938*3 + 0] = -0.453374f;	val_dir[6938*3 + 1] = 0.693395f;	val_dir[6938*3 + 2] = 0.560050f;
 	val_dir[6939*3 + 0] = -0.423702f;	val_dir[6939*3 + 1] = 0.714997f;	val_dir[6939*3 + 2] = 0.556108f;
 	val_dir[6940*3 + 0] = -0.393919f;	val_dir[6940*3 + 1] = 0.735316f;	val_dir[6940*3 + 2] = 0.551487f;
 	val_dir[6941*3 + 0] = -0.364159f;	val_dir[6941*3 + 1] = 0.754329f;	val_dir[6941*3 + 2] = 0.546238f;
 	val_dir[6942*3 + 0] = -0.334545f;	val_dir[6942*3 + 1] = 0.772027f;	val_dir[6942*3 + 2] = 0.540419f;
 	val_dir[6943*3 + 0] = -0.305194f;	val_dir[6943*3 + 1] = 0.788419f;	val_dir[6943*3 + 2] = 0.534090f;
 	val_dir[6944*3 + 0] = -0.276211f;	val_dir[6944*3 + 1] = 0.803523f;	val_dir[6944*3 + 2] = 0.527312f;
 	val_dir[6945*3 + 0] = -0.247689f;	val_dir[6945*3 + 1] = 0.817373f;	val_dir[6945*3 + 2] = 0.520146f;
 	val_dir[6946*3 + 0] = -0.219708f;	val_dir[6946*3 + 1] = 0.830009f;	val_dir[6946*3 + 2] = 0.512653f;
 	val_dir[6947*3 + 0] = -0.192339f;	val_dir[6947*3 + 1] = 0.841482f;	val_dir[6947*3 + 2] = 0.504889f;
 	val_dir[6948*3 + 0] = -0.165637f;	val_dir[6948*3 + 1] = 0.851847f;	val_dir[6948*3 + 2] = 0.496911f;
 	val_dir[6949*3 + 0] = -0.139648f;	val_dir[6949*3 + 1] = 0.861164f;	val_dir[6949*3 + 2] = 0.488769f;
 	val_dir[6950*3 + 0] = -0.114407f;	val_dir[6950*3 + 1] = 0.869495f;	val_dir[6950*3 + 2] = 0.480510f;
 	val_dir[6951*3 + 0] = -0.089939f;	val_dir[6951*3 + 1] = 0.876903f;	val_dir[6951*3 + 2] = 0.472178f;
 	val_dir[6952*3 + 0] = -0.066259f;	val_dir[6952*3 + 1] = 0.883452f;	val_dir[6952*3 + 2] = 0.463812f;
 	val_dir[6953*3 + 0] = -0.043376f;	val_dir[6953*3 + 1] = 0.889206f;	val_dir[6953*3 + 2] = 0.455447f;
 	val_dir[6954*3 + 0] = -0.021291f;	val_dir[6954*3 + 1] = 0.894224f;	val_dir[6954*3 + 2] = 0.447112f;
 	val_dir[6955*3 + 0] = 0.0f;	val_dir[6955*3 + 1] = 0.898567f;	val_dir[6955*3 + 2] = 0.438835f;
 	val_dir[6956*3 + 0] = 0.020861f;	val_dir[6956*3 + 1] = 0.917863f;	val_dir[6956*3 + 2] = 0.396350f;
 	val_dir[6957*3 + 0] = 0.041541f;	val_dir[6957*3 + 1] = 0.934665f;	val_dir[6957*3 + 2] = 0.353096f;
 	val_dir[6958*3 + 0] = 0.061885f;	val_dir[6958*3 + 1] = 0.948908f;	val_dir[6958*3 + 2] = 0.309426f;
 	val_dir[6959*3 + 0] = 0.081752f;	val_dir[6959*3 + 1] = 0.960585f;	val_dir[6959*3 + 2] = 0.265694f;
 	val_dir[6960*3 + 0] = 0.101015f;	val_dir[6960*3 + 1] = 0.969746f;	val_dir[6960*3 + 2] = 0.222234f;
 	val_dir[6961*3 + 0] = 0.119570f;	val_dir[6961*3 + 1] = 0.976491f;	val_dir[6961*3 + 2] = 0.179355f;
 	val_dir[6962*3 + 0] = 0.137334f;	val_dir[6962*3 + 1] = 0.980958f;	val_dir[6962*3 + 2] = 0.137334f;
 	val_dir[6963*3 + 0] = 0.154246f;	val_dir[6963*3 + 1] = 0.983318f;	val_dir[6963*3 + 2] = 0.096404f;
 	val_dir[6964*3 + 0] = 0.170267f;	val_dir[6964*3 + 1] = 0.983762f;	val_dir[6964*3 + 2] = 0.056756f;
 	val_dir[6965*3 + 0] = 0.185376f;	val_dir[6965*3 + 1] = 0.982493f;	val_dir[6965*3 + 2] = 0.018538f;
 	val_dir[6966*3 + 0] = -0.983282f;	val_dir[6966*3 + 1] = -0.182089f;	val_dir[6966*3 + 2] = 0.0f;
 	val_dir[6967*3 + 0] = -0.985205f;	val_dir[6967*3 + 1] = -0.167299f;	val_dir[6967*3 + 2] = 0.037178f;
 	val_dir[6968*3 + 0] = -0.985527f;	val_dir[6968*3 + 1] = -0.151620f;	val_dir[6968*3 + 2] = 0.075810f;
 	val_dir[6969*3 + 0] = -0.984050f;	val_dir[6969*3 + 1] = -0.135066f;	val_dir[6969*3 + 2] = 0.115771f;
 	val_dir[6970*3 + 0] = -0.980581f;	val_dir[6970*3 + 1] = -0.117670f;	val_dir[6970*3 + 2] = 0.156893f;
 	val_dir[6971*3 + 0] = -0.974943f;	val_dir[6971*3 + 1] = -0.099484f;	val_dir[6971*3 + 2] = 0.198968f;
 	val_dir[6972*3 + 0] = -0.966988f;	val_dir[6972*3 + 1] = -0.080582f;	val_dir[6972*3 + 2] = 0.241747f;
 	val_dir[6973*3 + 0] = -0.956597f;	val_dir[6973*3 + 1] = -0.061059f;	val_dir[6973*3 + 2] = 0.284944f;
 	val_dir[6974*3 + 0] = -0.943701f;	val_dir[6974*3 + 1] = -0.041030f;	val_dir[6974*3 + 2] = 0.328244f;
 	val_dir[6975*3 + 0] = -0.928279f;	val_dir[6975*3 + 1] = -0.020628f;	val_dir[6975*3 + 2] = 0.371312f;
 	val_dir[6976*3 + 0] = -0.910366f;	val_dir[6976*3 + 1] = 0.0f;	val_dir[6976*3 + 2] = 0.413803f;
 	val_dir[6977*3 + 0] = -0.906520f;	val_dir[6977*3 + 1] = 0.021082f;	val_dir[6977*3 + 2] = 0.421637f;
 	val_dir[6978*3 + 0] = -0.902027f;	val_dir[6978*3 + 1] = 0.042954f;	val_dir[6978*3 + 2] = 0.429537f;
 	val_dir[6979*3 + 0] = -0.896831f;	val_dir[6979*3 + 1] = 0.065622f;	val_dir[6979*3 + 2] = 0.437479f;
 	val_dir[6980*3 + 0] = -0.890871f;	val_dir[6980*3 + 1] = 0.089087f;	val_dir[6980*3 + 2] = 0.445435f;
 	val_dir[6981*3 + 0] = -0.884083f;	val_dir[6981*3 + 1] = 0.113344f;	val_dir[6981*3 + 2] = 0.453376f;
 	val_dir[6982*3 + 0] = -0.876405f;	val_dir[6982*3 + 1] = 0.138380f;	val_dir[6982*3 + 2] = 0.461266f;
 	val_dir[6983*3 + 0] = -0.867770f;	val_dir[6983*3 + 1] = 0.164173f;	val_dir[6983*3 + 2] = 0.469065f;
 	val_dir[6984*3 + 0] = -0.858116f;	val_dir[6984*3 + 1] = 0.190693f;	val_dir[6984*3 + 2] = 0.476731f;
 	val_dir[6985*3 + 0] = -0.847381f;	val_dir[6985*3 + 1] = 0.217898f;	val_dir[6985*3 + 2] = 0.484217f;
 	val_dir[6986*3 + 0] = -0.835504f;	val_dir[6986*3 + 1] = 0.245737f;	val_dir[6986*3 + 2] = 0.491473f;
 	val_dir[6987*3 + 0] = -0.822434f;	val_dir[6987*3 + 1] = 0.274145f;	val_dir[6987*3 + 2] = 0.498445f;
 	val_dir[6988*3 + 0] = -0.808122f;	val_dir[6988*3 + 1] = 0.303046f;	val_dir[6988*3 + 2] = 0.505076f;
 	val_dir[6989*3 + 0] = -0.792530f;	val_dir[6989*3 + 1] = 0.332352f;	val_dir[6989*3 + 2] = 0.511310f;
 	val_dir[6990*3 + 0] = -0.775632f;	val_dir[6990*3 + 1] = 0.361961f;	val_dir[6990*3 + 2] = 0.517088f;
 	val_dir[6991*3 + 0] = -0.757410f;	val_dir[6991*3 + 1] = 0.391764f;	val_dir[6991*3 + 2] = 0.522352f;
 	val_dir[6992*3 + 0] = -0.737865f;	val_dir[6992*3 + 1] = 0.421637f;	val_dir[6992*3 + 2] = 0.527046f;
 	val_dir[6993*3 + 0] = -0.717011f;	val_dir[6993*3 + 1] = 0.451451f;	val_dir[6993*3 + 2] = 0.531119f;
 	val_dir[6994*3 + 0] = -0.694879f;	val_dir[6994*3 + 1] = 0.481070f;	val_dir[6994*3 + 2] = 0.534522f;
 	val_dir[6995*3 + 0] = -0.671519f;	val_dir[6995*3 + 1] = 0.510355f;	val_dir[6995*3 + 2] = 0.537215f;
 	val_dir[6996*3 + 0] = -0.646997f;	val_dir[6996*3 + 1] = 0.539164f;	val_dir[6996*3 + 2] = 0.539164f;
 	val_dir[6997*3 + 0] = -0.621395f;	val_dir[6997*3 + 1] = 0.567360f;	val_dir[6997*3 + 2] = 0.540343f;
 	val_dir[6998*3 + 0] = -0.594812f;	val_dir[6998*3 + 1] = 0.594812f;	val_dir[6998*3 + 2] = 0.540738f;
 	val_dir[6999*3 + 0] = -0.567360f;	val_dir[6999*3 + 1] = 0.621395f;	val_dir[6999*3 + 2] = 0.540343f;
 	val_dir[7000*3 + 0] = -0.539164f;	val_dir[7000*3 + 1] = 0.646997f;	val_dir[7000*3 + 2] = 0.539164f;
 	val_dir[7001*3 + 0] = -0.510355f;	val_dir[7001*3 + 1] = 0.671519f;	val_dir[7001*3 + 2] = 0.537215f;
 	val_dir[7002*3 + 0] = -0.481070f;	val_dir[7002*3 + 1] = 0.694879f;	val_dir[7002*3 + 2] = 0.534522f;
 	val_dir[7003*3 + 0] = -0.451451f;	val_dir[7003*3 + 1] = 0.717011f;	val_dir[7003*3 + 2] = 0.531119f;
 	val_dir[7004*3 + 0] = -0.421637f;	val_dir[7004*3 + 1] = 0.737865f;	val_dir[7004*3 + 2] = 0.527046f;
 	val_dir[7005*3 + 0] = -0.391764f;	val_dir[7005*3 + 1] = 0.757410f;	val_dir[7005*3 + 2] = 0.522352f;
 	val_dir[7006*3 + 0] = -0.361961f;	val_dir[7006*3 + 1] = 0.775632f;	val_dir[7006*3 + 2] = 0.517088f;
 	val_dir[7007*3 + 0] = -0.332352f;	val_dir[7007*3 + 1] = 0.792530f;	val_dir[7007*3 + 2] = 0.511310f;
 	val_dir[7008*3 + 0] = -0.303046f;	val_dir[7008*3 + 1] = 0.808122f;	val_dir[7008*3 + 2] = 0.505076f;
 	val_dir[7009*3 + 0] = -0.274145f;	val_dir[7009*3 + 1] = 0.822434f;	val_dir[7009*3 + 2] = 0.498445f;
 	val_dir[7010*3 + 0] = -0.245737f;	val_dir[7010*3 + 1] = 0.835504f;	val_dir[7010*3 + 2] = 0.491473f;
 	val_dir[7011*3 + 0] = -0.217898f;	val_dir[7011*3 + 1] = 0.847381f;	val_dir[7011*3 + 2] = 0.484217f;
 	val_dir[7012*3 + 0] = -0.190693f;	val_dir[7012*3 + 1] = 0.858116f;	val_dir[7012*3 + 2] = 0.476731f;
 	val_dir[7013*3 + 0] = -0.164173f;	val_dir[7013*3 + 1] = 0.867770f;	val_dir[7013*3 + 2] = 0.469065f;
 	val_dir[7014*3 + 0] = -0.138380f;	val_dir[7014*3 + 1] = 0.876405f;	val_dir[7014*3 + 2] = 0.461266f;
 	val_dir[7015*3 + 0] = -0.113344f;	val_dir[7015*3 + 1] = 0.884083f;	val_dir[7015*3 + 2] = 0.453376f;
 	val_dir[7016*3 + 0] = -0.089087f;	val_dir[7016*3 + 1] = 0.890871f;	val_dir[7016*3 + 2] = 0.445435f;
 	val_dir[7017*3 + 0] = -0.065622f;	val_dir[7017*3 + 1] = 0.896831f;	val_dir[7017*3 + 2] = 0.437479f;
 	val_dir[7018*3 + 0] = -0.042954f;	val_dir[7018*3 + 1] = 0.902027f;	val_dir[7018*3 + 2] = 0.429537f;
 	val_dir[7019*3 + 0] = -0.021082f;	val_dir[7019*3 + 1] = 0.906520f;	val_dir[7019*3 + 2] = 0.421637f;
 	val_dir[7020*3 + 0] = 0.0f;	val_dir[7020*3 + 1] = 0.910366f;	val_dir[7020*3 + 2] = 0.413803f;
 	val_dir[7021*3 + 0] = 0.020628f;	val_dir[7021*3 + 1] = 0.928279f;	val_dir[7021*3 + 2] = 0.371312f;
 	val_dir[7022*3 + 0] = 0.041030f;	val_dir[7022*3 + 1] = 0.943701f;	val_dir[7022*3 + 2] = 0.328244f;
 	val_dir[7023*3 + 0] = 0.061059f;	val_dir[7023*3 + 1] = 0.956597f;	val_dir[7023*3 + 2] = 0.284944f;
 	val_dir[7024*3 + 0] = 0.080582f;	val_dir[7024*3 + 1] = 0.966988f;	val_dir[7024*3 + 2] = 0.241747f;
 	val_dir[7025*3 + 0] = 0.099484f;	val_dir[7025*3 + 1] = 0.974943f;	val_dir[7025*3 + 2] = 0.198968f;
 	val_dir[7026*3 + 0] = 0.117670f;	val_dir[7026*3 + 1] = 0.980581f;	val_dir[7026*3 + 2] = 0.156893f;
 	val_dir[7027*3 + 0] = 0.135066f;	val_dir[7027*3 + 1] = 0.984050f;	val_dir[7027*3 + 2] = 0.115771f;
 	val_dir[7028*3 + 0] = 0.151620f;	val_dir[7028*3 + 1] = 0.985527f;	val_dir[7028*3 + 2] = 0.075810f;
 	val_dir[7029*3 + 0] = 0.167299f;	val_dir[7029*3 + 1] = 0.985205f;	val_dir[7029*3 + 2] = 0.037178f;
 	val_dir[7030*3 + 0] = 0.182089f;	val_dir[7030*3 + 1] = 0.983282f;	val_dir[7030*3 + 2] = 0.0f;
 	val_dir[7031*3 + 0] = -0.986229f;	val_dir[7031*3 + 1] = -0.164372f;	val_dir[7031*3 + 2] = 0.018264f;
 	val_dir[7032*3 + 0] = -0.987254f;	val_dir[7032*3 + 1] = -0.149019f;	val_dir[7032*3 + 2] = 0.055882f;
 	val_dir[7033*3 + 0] = -0.986591f;	val_dir[7033*3 + 1] = -0.132810f;	val_dir[7033*3 + 2] = 0.094865f;
 	val_dir[7034*3 + 0] = -0.984050f;	val_dir[7034*3 + 1] = -0.115771f;	val_dir[7034*3 + 2] = 0.135066f;
 	val_dir[7035*3 + 0] = -0.979451f;	val_dir[7035*3 + 1] = -0.097945f;	val_dir[7035*3 + 2] = 0.176301f;
 	val_dir[7036*3 + 0] = -0.972636f;	val_dir[7036*3 + 1] = -0.079399f;	val_dir[7036*3 + 2] = 0.218347f;
 	val_dir[7037*3 + 0] = -0.963475f;	val_dir[7037*3 + 1] = -0.060217f;	val_dir[7037*3 + 2] = 0.260941f;
 	val_dir[7038*3 + 0] = -0.951877f;	val_dir[7038*3 + 1] = -0.040505f;	val_dir[7038*3 + 2] = 0.303791f;
 	val_dir[7039*3 + 0] = -0.93780f;	val_dir[7039*3 + 1] = -0.020387f;	val_dir[7039*3 + 2] = 0.346578f;
 	val_dir[7040*3 + 0] = -0.921250f;	val_dir[7040*3 + 1] = 0.0f;	val_dir[7040*3 + 2] = 0.388972f;
 	val_dir[7041*3 + 0] = -0.917863f;	val_dir[7041*3 + 1] = 0.020861f;	val_dir[7041*3 + 2] = 0.396350f;
 	val_dir[7042*3 + 0] = -0.913860f;	val_dir[7042*3 + 1] = 0.042505f;	val_dir[7042*3 + 2] = 0.403799f;
 	val_dir[7043*3 + 0] = -0.909185f;	val_dir[7043*3 + 1] = 0.064942f;	val_dir[7043*3 + 2] = 0.411298f;
 	val_dir[7044*3 + 0] = -0.903777f;	val_dir[7044*3 + 1] = 0.088173f;	val_dir[7044*3 + 2] = 0.418823f;
 	val_dir[7045*3 + 0] = -0.897574f;	val_dir[7045*3 + 1] = 0.112197f;	val_dir[7045*3 + 2] = 0.426348f;
 	val_dir[7046*3 + 0] = -0.890513f;	val_dir[7046*3 + 1] = 0.137002f;	val_dir[7046*3 + 2] = 0.433840f;
 	val_dir[7047*3 + 0] = -0.882528f;	val_dir[7047*3 + 1] = 0.162571f;	val_dir[7047*3 + 2] = 0.441264f;
 	val_dir[7048*3 + 0] = -0.873555f;	val_dir[7048*3 + 1] = 0.188877f;	val_dir[7048*3 + 2] = 0.448583f;
 	val_dir[7049*3 + 0] = -0.863530f;	val_dir[7049*3 + 1] = 0.215883f;	val_dir[7049*3 + 2] = 0.455752f;
 	val_dir[7050*3 + 0] = -0.852392f;	val_dir[7050*3 + 1] = 0.243541f;	val_dir[7050*3 + 2] = 0.462727f;
 	val_dir[7051*3 + 0] = -0.840083f;	val_dir[7051*3 + 1] = 0.271791f;	val_dir[7051*3 + 2] = 0.469458f;
 	val_dir[7052*3 + 0] = -0.826551f;	val_dir[7052*3 + 1] = 0.300564f;	val_dir[7052*3 + 2] = 0.475893f;
 	val_dir[7053*3 + 0] = -0.811754f;	val_dir[7053*3 + 1] = 0.329775f;	val_dir[7053*3 + 2] = 0.481979f;
 	val_dir[7054*3 + 0] = -0.795657f;	val_dir[7054*3 + 1] = 0.359329f;	val_dir[7054*3 + 2] = 0.487661f;
 	val_dir[7055*3 + 0] = -0.778237f;	val_dir[7055*3 + 1] = 0.389118f;	val_dir[7055*3 + 2] = 0.492883f;
 	val_dir[7056*3 + 0] = -0.759485f;	val_dir[7056*3 + 1] = 0.419026f;	val_dir[7056*3 + 2] = 0.497594f;
 	val_dir[7057*3 + 0] = -0.739407f;	val_dir[7057*3 + 1] = 0.448926f;	val_dir[7057*3 + 2] = 0.501740f;
 	val_dir[7058*3 + 0] = -0.718024f;	val_dir[7058*3 + 1] = 0.478683f;	val_dir[7058*3 + 2] = 0.505276f;
 	val_dir[7059*3 + 0] = -0.695376f;	val_dir[7059*3 + 1] = 0.508159f;	val_dir[7059*3 + 2] = 0.508159f;
 	val_dir[7060*3 + 0] = -0.671519f;	val_dir[7060*3 + 1] = 0.537215f;	val_dir[7060*3 + 2] = 0.510355f;
 	val_dir[7061*3 + 0] = -0.646527f;	val_dir[7061*3 + 1] = 0.565711f;	val_dir[7061*3 + 2] = 0.511834f;
 	val_dir[7062*3 + 0] = -0.620490f;	val_dir[7062*3 + 1] = 0.593512f;	val_dir[7062*3 + 2] = 0.512578f;
 	val_dir[7063*3 + 0] = -0.593512f;	val_dir[7063*3 + 1] = 0.620490f;	val_dir[7063*3 + 2] = 0.512578f;
 	val_dir[7064*3 + 0] = -0.565711f;	val_dir[7064*3 + 1] = 0.646527f;	val_dir[7064*3 + 2] = 0.511834f;
 	val_dir[7065*3 + 0] = -0.537215f;	val_dir[7065*3 + 1] = 0.671519f;	val_dir[7065*3 + 2] = 0.510355f;
 	val_dir[7066*3 + 0] = -0.508159f;	val_dir[7066*3 + 1] = 0.695376f;	val_dir[7066*3 + 2] = 0.508159f;
 	val_dir[7067*3 + 0] = -0.478683f;	val_dir[7067*3 + 1] = 0.718024f;	val_dir[7067*3 + 2] = 0.505276f;
 	val_dir[7068*3 + 0] = -0.448926f;	val_dir[7068*3 + 1] = 0.739407f;	val_dir[7068*3 + 2] = 0.501740f;
 	val_dir[7069*3 + 0] = -0.419026f;	val_dir[7069*3 + 1] = 0.759485f;	val_dir[7069*3 + 2] = 0.497594f;
 	val_dir[7070*3 + 0] = -0.389118f;	val_dir[7070*3 + 1] = 0.778237f;	val_dir[7070*3 + 2] = 0.492883f;
 	val_dir[7071*3 + 0] = -0.359329f;	val_dir[7071*3 + 1] = 0.795657f;	val_dir[7071*3 + 2] = 0.487661f;
 	val_dir[7072*3 + 0] = -0.329775f;	val_dir[7072*3 + 1] = 0.811754f;	val_dir[7072*3 + 2] = 0.481979f;
 	val_dir[7073*3 + 0] = -0.300564f;	val_dir[7073*3 + 1] = 0.826551f;	val_dir[7073*3 + 2] = 0.475893f;
 	val_dir[7074*3 + 0] = -0.271791f;	val_dir[7074*3 + 1] = 0.840083f;	val_dir[7074*3 + 2] = 0.469458f;
 	val_dir[7075*3 + 0] = -0.243541f;	val_dir[7075*3 + 1] = 0.852392f;	val_dir[7075*3 + 2] = 0.462727f;
 	val_dir[7076*3 + 0] = -0.215883f;	val_dir[7076*3 + 1] = 0.863530f;	val_dir[7076*3 + 2] = 0.455752f;
 	val_dir[7077*3 + 0] = -0.188877f;	val_dir[7077*3 + 1] = 0.873555f;	val_dir[7077*3 + 2] = 0.448583f;
 	val_dir[7078*3 + 0] = -0.162571f;	val_dir[7078*3 + 1] = 0.882528f;	val_dir[7078*3 + 2] = 0.441264f;
 	val_dir[7079*3 + 0] = -0.137002f;	val_dir[7079*3 + 1] = 0.890513f;	val_dir[7079*3 + 2] = 0.433840f;
 	val_dir[7080*3 + 0] = -0.112197f;	val_dir[7080*3 + 1] = 0.897574f;	val_dir[7080*3 + 2] = 0.426348f;
 	val_dir[7081*3 + 0] = -0.088173f;	val_dir[7081*3 + 1] = 0.903777f;	val_dir[7081*3 + 2] = 0.418823f;
 	val_dir[7082*3 + 0] = -0.064942f;	val_dir[7082*3 + 1] = 0.909185f;	val_dir[7082*3 + 2] = 0.411298f;
 	val_dir[7083*3 + 0] = -0.042505f;	val_dir[7083*3 + 1] = 0.913860f;	val_dir[7083*3 + 2] = 0.403799f;
 	val_dir[7084*3 + 0] = -0.020861f;	val_dir[7084*3 + 1] = 0.917863f;	val_dir[7084*3 + 2] = 0.396350f;
 	val_dir[7085*3 + 0] = 0.0f;	val_dir[7085*3 + 1] = 0.921250f;	val_dir[7085*3 + 2] = 0.388972f;
 	val_dir[7086*3 + 0] = 0.020387f;	val_dir[7086*3 + 1] = 0.93780f;	val_dir[7086*3 + 2] = 0.346578f;
 	val_dir[7087*3 + 0] = 0.040505f;	val_dir[7087*3 + 1] = 0.951877f;	val_dir[7087*3 + 2] = 0.303791f;
 	val_dir[7088*3 + 0] = 0.060217f;	val_dir[7088*3 + 1] = 0.963475f;	val_dir[7088*3 + 2] = 0.260941f;
 	val_dir[7089*3 + 0] = 0.079399f;	val_dir[7089*3 + 1] = 0.972636f;	val_dir[7089*3 + 2] = 0.218347f;
 	val_dir[7090*3 + 0] = 0.097945f;	val_dir[7090*3 + 1] = 0.979451f;	val_dir[7090*3 + 2] = 0.176301f;
 	val_dir[7091*3 + 0] = 0.115771f;	val_dir[7091*3 + 1] = 0.984050f;	val_dir[7091*3 + 2] = 0.135066f;
 	val_dir[7092*3 + 0] = 0.132810f;	val_dir[7092*3 + 1] = 0.986591f;	val_dir[7092*3 + 2] = 0.094865f;
 	val_dir[7093*3 + 0] = 0.149019f;	val_dir[7093*3 + 1] = 0.987254f;	val_dir[7093*3 + 2] = 0.055882f;
 	val_dir[7094*3 + 0] = 0.164372f;	val_dir[7094*3 + 1] = 0.986229f;	val_dir[7094*3 + 2] = 0.018264f;
 	val_dir[7095*3 + 0] = -0.986875f;	val_dir[7095*3 + 1] = -0.161489f;	val_dir[7095*3 + 2] = 0.0f;
 	val_dir[7096*3 + 0] = -0.988540f;	val_dir[7096*3 + 1] = -0.146450f;	val_dir[7096*3 + 2] = 0.036613f;
 	val_dir[7097*3 + 0] = -0.988627f;	val_dir[7097*3 + 1] = -0.130573f;	val_dir[7097*3 + 2] = 0.074613f;
 	val_dir[7098*3 + 0] = -0.986947f;	val_dir[7098*3 + 1] = -0.113878f;	val_dir[7098*3 + 2] = 0.113878f;
 	val_dir[7099*3 + 0] = -0.983318f;	val_dir[7099*3 + 1] = -0.096404f;	val_dir[7099*3 + 2] = 0.154246f;
 	val_dir[7100*3 + 0] = -0.977577f;	val_dir[7100*3 + 1] = -0.078206f;	val_dir[7100*3 + 2] = 0.195515f;
 	val_dir[7101*3 + 0] = -0.969584f;	val_dir[7101*3 + 1] = -0.059362f;	val_dir[7101*3 + 2] = 0.237449f;
 	val_dir[7102*3 + 0] = -0.959233f;	val_dir[7102*3 + 1] = -0.039968f;	val_dir[7102*3 + 2] = 0.279776f;
 	val_dir[7103*3 + 0] = -0.946458f;	val_dir[7103*3 + 1] = -0.020137f;	val_dir[7103*3 + 2] = 0.322198f;
 	val_dir[7104*3 + 0] = -0.931243f;	val_dir[7104*3 + 1] = 0.0f;	val_dir[7104*3 + 2] = 0.364399f;
 	val_dir[7105*3 + 0] = -0.928279f;	val_dir[7105*3 + 1] = 0.020628f;	val_dir[7105*3 + 2] = 0.371312f;
 	val_dir[7106*3 + 0] = -0.924729f;	val_dir[7106*3 + 1] = 0.042033f;	val_dir[7106*3 + 2] = 0.378298f;
 	val_dir[7107*3 + 0] = -0.920537f;	val_dir[7107*3 + 1] = 0.064223f;	val_dir[7107*3 + 2] = 0.385341f;
 	val_dir[7108*3 + 0] = -0.915644f;	val_dir[7108*3 + 1] = 0.087204f;	val_dir[7108*3 + 2] = 0.392419f;
 	val_dir[7109*3 + 0] = -0.909988f;	val_dir[7109*3 + 1] = 0.110974f;	val_dir[7109*3 + 2] = 0.399507f;
 	val_dir[7110*3 + 0] = -0.903508f;	val_dir[7110*3 + 1] = 0.135526f;	val_dir[7110*3 + 2] = 0.406579f;
 	val_dir[7111*3 + 0] = -0.896137f;	val_dir[7111*3 + 1] = 0.160845f;	val_dir[7111*3 + 2] = 0.413602f;
 	val_dir[7112*3 + 0] = -0.887812f;	val_dir[7112*3 + 1] = 0.186908f;	val_dir[7112*3 + 2] = 0.420542f;
 	val_dir[7113*3 + 0] = -0.878466f;	val_dir[7113*3 + 1] = 0.213681f;	val_dir[7113*3 + 2] = 0.427362f;
 	val_dir[7114*3 + 0] = -0.868037f;	val_dir[7114*3 + 1] = 0.241121f;	val_dir[7114*3 + 2] = 0.434019f;
 	val_dir[7115*3 + 0] = -0.856465f;	val_dir[7115*3 + 1] = 0.269175f;	val_dir[7115*3 + 2] = 0.440468f;
 	val_dir[7116*3 + 0] = -0.843696f;	val_dir[7116*3 + 1] = 0.297775f;	val_dir[7116*3 + 2] = 0.446662f;
 	val_dir[7117*3 + 0] = -0.829680f;	val_dir[7117*3 + 1] = 0.326844f;	val_dir[7117*3 + 2] = 0.452553f;
 	val_dir[7118*3 + 0] = -0.814379f;	val_dir[7118*3 + 1] = 0.356291f;	val_dir[7118*3 + 2] = 0.458088f;
 	val_dir[7119*3 + 0] = -0.797762f;	val_dir[7119*3 + 1] = 0.386014f;	val_dir[7119*3 + 2] = 0.463217f;
 	val_dir[7120*3 + 0] = -0.779813f;	val_dir[7120*3 + 1] = 0.41590f;	val_dir[7120*3 + 2] = 0.467888f;
 	val_dir[7121*3 + 0] = -0.760529f;	val_dir[7121*3 + 1] = 0.445827f;	val_dir[7121*3 + 2] = 0.472053f;
 	val_dir[7122*3 + 0] = -0.739923f;	val_dir[7122*3 + 1] = 0.475665f;	val_dir[7122*3 + 2] = 0.475665f;
 	val_dir[7123*3 + 0] = -0.718024f;	val_dir[7123*3 + 1] = 0.505276f;	val_dir[7123*3 + 2] = 0.478683f;
 	val_dir[7124*3 + 0] = -0.694879f;	val_dir[7124*3 + 1] = 0.534522f;	val_dir[7124*3 + 2] = 0.481070f;
 	val_dir[7125*3 + 0] = -0.670552f;	val_dir[7125*3 + 1] = 0.563264f;	val_dir[7125*3 + 2] = 0.482798f;
 	val_dir[7126*3 + 0] = -0.645124f;	val_dir[7126*3 + 1] = 0.591364f;	val_dir[7126*3 + 2] = 0.483843f;
 	val_dir[7127*3 + 0] = -0.618691f;	val_dir[7127*3 + 1] = 0.618691f;	val_dir[7127*3 + 2] = 0.484193f;
 	val_dir[7128*3 + 0] = -0.591364f;	val_dir[7128*3 + 1] = 0.645124f;	val_dir[7128*3 + 2] = 0.483843f;
 	val_dir[7129*3 + 0] = -0.563264f;	val_dir[7129*3 + 1] = 0.670552f;	val_dir[7129*3 + 2] = 0.482798f;
 	val_dir[7130*3 + 0] = -0.534522f;	val_dir[7130*3 + 1] = 0.694879f;	val_dir[7130*3 + 2] = 0.481070f;
 	val_dir[7131*3 + 0] = -0.505276f;	val_dir[7131*3 + 1] = 0.718024f;	val_dir[7131*3 + 2] = 0.478683f;
 	val_dir[7132*3 + 0] = -0.475665f;	val_dir[7132*3 + 1] = 0.739923f;	val_dir[7132*3 + 2] = 0.475665f;
 	val_dir[7133*3 + 0] = -0.445827f;	val_dir[7133*3 + 1] = 0.760529f;	val_dir[7133*3 + 2] = 0.472053f;
 	val_dir[7134*3 + 0] = -0.41590f;	val_dir[7134*3 + 1] = 0.779813f;	val_dir[7134*3 + 2] = 0.467888f;
 	val_dir[7135*3 + 0] = -0.386014f;	val_dir[7135*3 + 1] = 0.797762f;	val_dir[7135*3 + 2] = 0.463217f;
 	val_dir[7136*3 + 0] = -0.356291f;	val_dir[7136*3 + 1] = 0.814379f;	val_dir[7136*3 + 2] = 0.458088f;
 	val_dir[7137*3 + 0] = -0.326844f;	val_dir[7137*3 + 1] = 0.829680f;	val_dir[7137*3 + 2] = 0.452553f;
 	val_dir[7138*3 + 0] = -0.297775f;	val_dir[7138*3 + 1] = 0.843696f;	val_dir[7138*3 + 2] = 0.446662f;
 	val_dir[7139*3 + 0] = -0.269175f;	val_dir[7139*3 + 1] = 0.856465f;	val_dir[7139*3 + 2] = 0.440468f;
 	val_dir[7140*3 + 0] = -0.241121f;	val_dir[7140*3 + 1] = 0.868037f;	val_dir[7140*3 + 2] = 0.434019f;
 	val_dir[7141*3 + 0] = -0.213681f;	val_dir[7141*3 + 1] = 0.878466f;	val_dir[7141*3 + 2] = 0.427362f;
 	val_dir[7142*3 + 0] = -0.186908f;	val_dir[7142*3 + 1] = 0.887812f;	val_dir[7142*3 + 2] = 0.420542f;
 	val_dir[7143*3 + 0] = -0.160845f;	val_dir[7143*3 + 1] = 0.896137f;	val_dir[7143*3 + 2] = 0.413602f;
 	val_dir[7144*3 + 0] = -0.135526f;	val_dir[7144*3 + 1] = 0.903508f;	val_dir[7144*3 + 2] = 0.406579f;
 	val_dir[7145*3 + 0] = -0.110974f;	val_dir[7145*3 + 1] = 0.909988f;	val_dir[7145*3 + 2] = 0.399507f;
 	val_dir[7146*3 + 0] = -0.087204f;	val_dir[7146*3 + 1] = 0.915644f;	val_dir[7146*3 + 2] = 0.392419f;
 	val_dir[7147*3 + 0] = -0.064223f;	val_dir[7147*3 + 1] = 0.920537f;	val_dir[7147*3 + 2] = 0.385341f;
 	val_dir[7148*3 + 0] = -0.042033f;	val_dir[7148*3 + 1] = 0.924729f;	val_dir[7148*3 + 2] = 0.378298f;
 	val_dir[7149*3 + 0] = -0.020628f;	val_dir[7149*3 + 1] = 0.928279f;	val_dir[7149*3 + 2] = 0.371312f;
 	val_dir[7150*3 + 0] = 0.0f;	val_dir[7150*3 + 1] = 0.931243f;	val_dir[7150*3 + 2] = 0.364399f;
 	val_dir[7151*3 + 0] = 0.020137f;	val_dir[7151*3 + 1] = 0.946458f;	val_dir[7151*3 + 2] = 0.322198f;
 	val_dir[7152*3 + 0] = 0.039968f;	val_dir[7152*3 + 1] = 0.959233f;	val_dir[7152*3 + 2] = 0.279776f;
 	val_dir[7153*3 + 0] = 0.059362f;	val_dir[7153*3 + 1] = 0.969584f;	val_dir[7153*3 + 2] = 0.237449f;
 	val_dir[7154*3 + 0] = 0.078206f;	val_dir[7154*3 + 1] = 0.977577f;	val_dir[7154*3 + 2] = 0.195515f;
 	val_dir[7155*3 + 0] = 0.096404f;	val_dir[7155*3 + 1] = 0.983318f;	val_dir[7155*3 + 2] = 0.154246f;
 	val_dir[7156*3 + 0] = 0.113878f;	val_dir[7156*3 + 1] = 0.986947f;	val_dir[7156*3 + 2] = 0.113878f;
 	val_dir[7157*3 + 0] = 0.130573f;	val_dir[7157*3 + 1] = 0.988627f;	val_dir[7157*3 + 2] = 0.074613f;
 	val_dir[7158*3 + 0] = 0.146450f;	val_dir[7158*3 + 1] = 0.988540f;	val_dir[7158*3 + 2] = 0.036613f;
 	val_dir[7159*3 + 0] = 0.161489f;	val_dir[7159*3 + 1] = 0.986875f;	val_dir[7159*3 + 2] = 0.0f;
 	val_dir[7160*3 + 0] = -0.989426f;	val_dir[7160*3 + 1] = -0.143917f;	val_dir[7160*3 + 2] = 0.017990f;
 	val_dir[7161*3 + 0] = -0.990201f;	val_dir[7161*3 + 1] = -0.128359f;	val_dir[7161*3 + 2] = 0.055011f;
 	val_dir[7162*3 + 0] = -0.989316f;	val_dir[7162*3 + 1] = -0.111998f;	val_dir[7162*3 + 2] = 0.093332f;
 	val_dir[7163*3 + 0] = -0.986591f;	val_dir[7163*3 + 1] = -0.094865f;	val_dir[7163*3 + 2] = 0.132810f;
 	val_dir[7164*3 + 0] = -0.981859f;	val_dir[7164*3 + 1] = -0.077009f;	val_dir[7164*3 + 2] = 0.173269f;
 	val_dir[7165*3 + 0] = -0.974972f;	val_dir[7165*3 + 1] = -0.058498f;	val_dir[7165*3 + 2] = 0.214494f;
 	val_dir[7166*3 + 0] = -0.965810f;	val_dir[7166*3 + 1] = -0.039421f;	val_dir[7166*3 + 2] = 0.256235f;
 	val_dir[7167*3 + 0] = -0.954291f;	val_dir[7167*3 + 1] = -0.019881f;	val_dir[7167*3 + 2] = 0.298216f;
 	val_dir[7168*3 + 0] = -0.940376f;	val_dir[7168*3 + 1] = 0.0f;	val_dir[7168*3 + 2] = 0.340136f;
 	val_dir[7169*3 + 0] = -0.93780f;	val_dir[7169*3 + 1] = 0.020387f;	val_dir[7169*3 + 2] = 0.346578f;
 	val_dir[7170*3 + 0] = -0.934665f;	val_dir[7170*3 + 1] = 0.041541f;	val_dir[7170*3 + 2] = 0.353096f;
 	val_dir[7171*3 + 0] = -0.930917f;	val_dir[7171*3 + 1] = 0.063472f;	val_dir[7171*3 + 2] = 0.359673f;
 	val_dir[7172*3 + 0] = -0.92650f;	val_dir[7172*3 + 1] = 0.086186f;	val_dir[7172*3 + 2] = 0.366291f;
 	val_dir[7173*3 + 0] = -0.921354f;	val_dir[7173*3 + 1] = 0.109685f;	val_dir[7173*3 + 2] = 0.372929f;
 	val_dir[7174*3 + 0] = -0.915416f;	val_dir[7174*3 + 1] = 0.133963f;	val_dir[7174*3 + 2] = 0.379563f;
 	val_dir[7175*3 + 0] = -0.908622f;	val_dir[7175*3 + 1] = 0.159009f;	val_dir[7175*3 + 2] = 0.386164f;
 	val_dir[7176*3 + 0] = -0.900907f;	val_dir[7176*3 + 1] = 0.184801f;	val_dir[7176*3 + 2] = 0.392703f;
 	val_dir[7177*3 + 0] = -0.892206f;	val_dir[7177*3 + 1] = 0.211312f;	val_dir[7177*3 + 2] = 0.399145f;
 	val_dir[7178*3 + 0] = -0.882454f;	val_dir[7178*3 + 1] = 0.238501f;	val_dir[7178*3 + 2] = 0.405452f;
 	val_dir[7179*3 + 0] = -0.871592f;	val_dir[7179*3 + 1] = 0.266320f;	val_dir[7179*3 + 2] = 0.411585f;
 	val_dir[7180*3 + 0] = -0.859559f;	val_dir[7180*3 + 1] = 0.294706f;	val_dir[7180*3 + 2] = 0.41750f;
 	val_dir[7181*3 + 0] = -0.846305f;	val_dir[7181*3 + 1] = 0.323587f;	val_dir[7181*3 + 2] = 0.423153f;
 	val_dir[7182*3 + 0] = -0.831786f;	val_dir[7182*3 + 1] = 0.352879f;	val_dir[7182*3 + 2] = 0.428496f;
 	val_dir[7183*3 + 0] = -0.815966f;	val_dir[7183*3 + 1] = 0.382484f;	val_dir[7183*3 + 2] = 0.433482f;
 	val_dir[7184*3 + 0] = -0.798820f;	val_dir[7184*3 + 1] = 0.412294f;	val_dir[7184*3 + 2] = 0.438063f;
 	val_dir[7185*3 + 0] = -0.780340f;	val_dir[7185*3 + 1] = 0.442193f;	val_dir[7185*3 + 2] = 0.442193f;
 	val_dir[7186*3 + 0] = -0.760529f;	val_dir[7186*3 + 1] = 0.472053f;	val_dir[7186*3 + 2] = 0.445827f;
 	val_dir[7187*3 + 0] = -0.739407f;	val_dir[7187*3 + 1] = 0.501740f;	val_dir[7187*3 + 2] = 0.448926f;
 	val_dir[7188*3 + 0] = -0.717011f;	val_dir[7188*3 + 1] = 0.531119f;	val_dir[7188*3 + 2] = 0.451451f;
 	val_dir[7189*3 + 0] = -0.693395f;	val_dir[7189*3 + 1] = 0.560050f;	val_dir[7189*3 + 2] = 0.453374f;
 	val_dir[7190*3 + 0] = -0.668631f;	val_dir[7190*3 + 1] = 0.588395f;	val_dir[7190*3 + 2] = 0.454669f;
 	val_dir[7191*3 + 0] = -0.642806f;	val_dir[7191*3 + 1] = 0.616022f;	val_dir[7191*3 + 2] = 0.455321f;
 	val_dir[7192*3 + 0] = -0.616022f;	val_dir[7192*3 + 1] = 0.642806f;	val_dir[7192*3 + 2] = 0.455321f;
 	val_dir[7193*3 + 0] = -0.588395f;	val_dir[7193*3 + 1] = 0.668631f;	val_dir[7193*3 + 2] = 0.454669f;
 	val_dir[7194*3 + 0] = -0.560050f;	val_dir[7194*3 + 1] = 0.693395f;	val_dir[7194*3 + 2] = 0.453374f;
 	val_dir[7195*3 + 0] = -0.531119f;	val_dir[7195*3 + 1] = 0.717011f;	val_dir[7195*3 + 2] = 0.451451f;
 	val_dir[7196*3 + 0] = -0.501740f;	val_dir[7196*3 + 1] = 0.739407f;	val_dir[7196*3 + 2] = 0.448926f;
 	val_dir[7197*3 + 0] = -0.472053f;	val_dir[7197*3 + 1] = 0.760529f;	val_dir[7197*3 + 2] = 0.445827f;
 	val_dir[7198*3 + 0] = -0.442193f;	val_dir[7198*3 + 1] = 0.780340f;	val_dir[7198*3 + 2] = 0.442193f;
 	val_dir[7199*3 + 0] = -0.412294f;	val_dir[7199*3 + 1] = 0.798820f;	val_dir[7199*3 + 2] = 0.438063f;
 	val_dir[7200*3 + 0] = -0.382484f;	val_dir[7200*3 + 1] = 0.815966f;	val_dir[7200*3 + 2] = 0.433482f;
 	val_dir[7201*3 + 0] = -0.352879f;	val_dir[7201*3 + 1] = 0.831786f;	val_dir[7201*3 + 2] = 0.428496f;
 	val_dir[7202*3 + 0] = -0.323587f;	val_dir[7202*3 + 1] = 0.846305f;	val_dir[7202*3 + 2] = 0.423153f;
 	val_dir[7203*3 + 0] = -0.294706f;	val_dir[7203*3 + 1] = 0.859559f;	val_dir[7203*3 + 2] = 0.41750f;
 	val_dir[7204*3 + 0] = -0.266320f;	val_dir[7204*3 + 1] = 0.871592f;	val_dir[7204*3 + 2] = 0.411585f;
 	val_dir[7205*3 + 0] = -0.238501f;	val_dir[7205*3 + 1] = 0.882454f;	val_dir[7205*3 + 2] = 0.405452f;
 	val_dir[7206*3 + 0] = -0.211312f;	val_dir[7206*3 + 1] = 0.892206f;	val_dir[7206*3 + 2] = 0.399145f;
 	val_dir[7207*3 + 0] = -0.184801f;	val_dir[7207*3 + 1] = 0.900907f;	val_dir[7207*3 + 2] = 0.392703f;
 	val_dir[7208*3 + 0] = -0.159009f;	val_dir[7208*3 + 1] = 0.908622f;	val_dir[7208*3 + 2] = 0.386164f;
 	val_dir[7209*3 + 0] = -0.133963f;	val_dir[7209*3 + 1] = 0.915416f;	val_dir[7209*3 + 2] = 0.379563f;
 	val_dir[7210*3 + 0] = -0.109685f;	val_dir[7210*3 + 1] = 0.921354f;	val_dir[7210*3 + 2] = 0.372929f;
 	val_dir[7211*3 + 0] = -0.086186f;	val_dir[7211*3 + 1] = 0.92650f;	val_dir[7211*3 + 2] = 0.366291f;
 	val_dir[7212*3 + 0] = -0.063472f;	val_dir[7212*3 + 1] = 0.930917f;	val_dir[7212*3 + 2] = 0.359673f;
 	val_dir[7213*3 + 0] = -0.041541f;	val_dir[7213*3 + 1] = 0.934665f;	val_dir[7213*3 + 2] = 0.353096f;
 	val_dir[7214*3 + 0] = -0.020387f;	val_dir[7214*3 + 1] = 0.93780f;	val_dir[7214*3 + 2] = 0.346578f;
 	val_dir[7215*3 + 0] = 0.0f;	val_dir[7215*3 + 1] = 0.940376f;	val_dir[7215*3 + 2] = 0.340136f;
 	val_dir[7216*3 + 0] = 0.019881f;	val_dir[7216*3 + 1] = 0.954291f;	val_dir[7216*3 + 2] = 0.298216f;
 	val_dir[7217*3 + 0] = 0.039421f;	val_dir[7217*3 + 1] = 0.965810f;	val_dir[7217*3 + 2] = 0.256235f;
 	val_dir[7218*3 + 0] = 0.058498f;	val_dir[7218*3 + 1] = 0.974972f;	val_dir[7218*3 + 2] = 0.214494f;
 	val_dir[7219*3 + 0] = 0.077009f;	val_dir[7219*3 + 1] = 0.981859f;	val_dir[7219*3 + 2] = 0.173269f;
 	val_dir[7220*3 + 0] = 0.094865f;	val_dir[7220*3 + 1] = 0.986591f;	val_dir[7220*3 + 2] = 0.132810f;
 	val_dir[7221*3 + 0] = 0.111998f;	val_dir[7221*3 + 1] = 0.989316f;	val_dir[7221*3 + 2] = 0.093332f;
 	val_dir[7222*3 + 0] = 0.128359f;	val_dir[7222*3 + 1] = 0.990201f;	val_dir[7222*3 + 2] = 0.055011f;
 	val_dir[7223*3 + 0] = 0.143917f;	val_dir[7223*3 + 1] = 0.989426f;	val_dir[7223*3 + 2] = 0.017990f;
 	val_dir[7224*3 + 0] = -0.989949f;	val_dir[7224*3 + 1] = -0.141421f;	val_dir[7224*3 + 2] = 0.0f;
 	val_dir[7225*3 + 0] = -0.991353f;	val_dir[7225*3 + 1] = -0.126172f;	val_dir[7225*3 + 2] = 0.036049f;
 	val_dir[7226*3 + 0] = -0.991201f;	val_dir[7226*3 + 1] = -0.110133f;	val_dir[7226*3 + 2] = 0.073422f;
 	val_dir[7227*3 + 0] = -0.989316f;	val_dir[7227*3 + 1] = -0.093332f;	val_dir[7227*3 + 2] = 0.111998f;
 	val_dir[7228*3 + 0] = -0.985527f;	val_dir[7228*3 + 1] = -0.075810f;	val_dir[7228*3 + 2] = 0.151620f;
 	val_dir[7229*3 + 0] = -0.979683f;	val_dir[7229*3 + 1] = -0.057628f;	val_dir[7229*3 + 2] = 0.192095f;
 	val_dir[7230*3 + 0] = -0.971653f;	val_dir[7230*3 + 1] = -0.038866f;	val_dir[7230*3 + 2] = 0.233197f;
 	val_dir[7231*3 + 0] = -0.961339f;	val_dir[7231*3 + 1] = -0.019619f;	val_dir[7231*3 + 2] = 0.274668f;
 	val_dir[7232*3 + 0] = -0.948683f;	val_dir[7232*3 + 1] = 0.0f;	val_dir[7232*3 + 2] = 0.316228f;
 	val_dir[7233*3 + 0] = -0.946458f;	val_dir[7233*3 + 1] = 0.020137f;	val_dir[7233*3 + 2] = 0.322198f;
 	val_dir[7234*3 + 0] = -0.943701f;	val_dir[7234*3 + 1] = 0.041030f;	val_dir[7234*3 + 2] = 0.328244f;
 	val_dir[7235*3 + 0] = -0.940361f;	val_dir[7235*3 + 1] = 0.062691f;	val_dir[7235*3 + 2] = 0.334351f;
 	val_dir[7236*3 + 0] = -0.936382f;	val_dir[7236*3 + 1] = 0.085126f;	val_dir[7236*3 + 2] = 0.340503f;
 	val_dir[7237*3 + 0] = -0.931705f;	val_dir[7237*3 + 1] = 0.108338f;	val_dir[7237*3 + 2] = 0.346681f;
 	val_dir[7238*3 + 0] = -0.926270f;	val_dir[7238*3 + 1] = 0.132324f;	val_dir[7238*3 + 2] = 0.352865f;
 	val_dir[7239*3 + 0] = -0.920014f;	val_dir[7239*3 + 1] = 0.157075f;	val_dir[7239*3 + 2] = 0.359030f;
 	val_dir[7240*3 + 0] = -0.912871f;	val_dir[7240*3 + 1] = 0.182574f;	val_dir[7240*3 + 2] = 0.365148f;
 	val_dir[7241*3 + 0] = -0.904777f;	val_dir[7241*3 + 1] = 0.208795f;	val_dir[7241*3 + 2] = 0.371191f;
 	val_dir[7242*3 + 0] = -0.895669f;	val_dir[7242*3 + 1] = 0.235702f;	val_dir[7242*3 + 2] = 0.377124f;
 	val_dir[7243*3 + 0] = -0.885482f;	val_dir[7243*3 + 1] = 0.263251f;	val_dir[7243*3 + 2] = 0.382911f;
 	val_dir[7244*3 + 0] = -0.874157f;	val_dir[7244*3 + 1] = 0.291386f;	val_dir[7244*3 + 2] = 0.388514f;
 	val_dir[7245*3 + 0] = -0.861640f;	val_dir[7245*3 + 1] = 0.320038f;	val_dir[7245*3 + 2] = 0.393893f;
 	val_dir[7246*3 + 0] = -0.847883f;	val_dir[7246*3 + 1] = 0.349128f;	val_dir[7246*3 + 2] = 0.399004f;
 	val_dir[7247*3 + 0] = -0.832845f;	val_dir[7247*3 + 1] = 0.378566f;	val_dir[7247*3 + 2] = 0.403804f;
 	val_dir[7248*3 + 0] = -0.816497f;	val_dir[7248*3 + 1] = 0.408248f;	val_dir[7248*3 + 2] = 0.408248f;
 	val_dir[7249*3 + 0] = -0.798820f;	val_dir[7249*3 + 1] = 0.438063f;	val_dir[7249*3 + 2] = 0.412294f;
 	val_dir[7250*3 + 0] = -0.779813f;	val_dir[7250*3 + 1] = 0.467888f;	val_dir[7250*3 + 2] = 0.41590f;
 	val_dir[7251*3 + 0] = -0.759485f;	val_dir[7251*3 + 1] = 0.497594f;	val_dir[7251*3 + 2] = 0.419026f;
 	val_dir[7252*3 + 0] = -0.737865f;	val_dir[7252*3 + 1] = 0.527046f;	val_dir[7252*3 + 2] = 0.421637f;
 	val_dir[7253*3 + 0] = -0.714997f;	val_dir[7253*3 + 1] = 0.556108f;	val_dir[7253*3 + 2] = 0.423702f;
 	val_dir[7254*3 + 0] = -0.690942f;	val_dir[7254*3 + 1] = 0.584643f;	val_dir[7254*3 + 2] = 0.425195f;
 	val_dir[7255*3 + 0] = -0.665780f;	val_dir[7255*3 + 1] = 0.612517f;	val_dir[7255*3 + 2] = 0.426099f;
 	val_dir[7256*3 + 0] = -0.639602f;	val_dir[7256*3 + 1] = 0.639602f;	val_dir[7256*3 + 2] = 0.426401f;
 	val_dir[7257*3 + 0] = -0.612517f;	val_dir[7257*3 + 1] = 0.665780f;	val_dir[7257*3 + 2] = 0.426099f;
 	val_dir[7258*3 + 0] = -0.584643f;	val_dir[7258*3 + 1] = 0.690942f;	val_dir[7258*3 + 2] = 0.425195f;
 	val_dir[7259*3 + 0] = -0.556108f;	val_dir[7259*3 + 1] = 0.714997f;	val_dir[7259*3 + 2] = 0.423702f;
 	val_dir[7260*3 + 0] = -0.527046f;	val_dir[7260*3 + 1] = 0.737865f;	val_dir[7260*3 + 2] = 0.421637f;
 	val_dir[7261*3 + 0] = -0.497594f;	val_dir[7261*3 + 1] = 0.759485f;	val_dir[7261*3 + 2] = 0.419026f;
 	val_dir[7262*3 + 0] = -0.467888f;	val_dir[7262*3 + 1] = 0.779813f;	val_dir[7262*3 + 2] = 0.41590f;
 	val_dir[7263*3 + 0] = -0.438063f;	val_dir[7263*3 + 1] = 0.798820f;	val_dir[7263*3 + 2] = 0.412294f;
 	val_dir[7264*3 + 0] = -0.408248f;	val_dir[7264*3 + 1] = 0.816497f;	val_dir[7264*3 + 2] = 0.408248f;
 	val_dir[7265*3 + 0] = -0.378566f;	val_dir[7265*3 + 1] = 0.832845f;	val_dir[7265*3 + 2] = 0.403804f;
 	val_dir[7266*3 + 0] = -0.349128f;	val_dir[7266*3 + 1] = 0.847883f;	val_dir[7266*3 + 2] = 0.399004f;
 	val_dir[7267*3 + 0] = -0.320038f;	val_dir[7267*3 + 1] = 0.861640f;	val_dir[7267*3 + 2] = 0.393893f;
 	val_dir[7268*3 + 0] = -0.291386f;	val_dir[7268*3 + 1] = 0.874157f;	val_dir[7268*3 + 2] = 0.388514f;
 	val_dir[7269*3 + 0] = -0.263251f;	val_dir[7269*3 + 1] = 0.885482f;	val_dir[7269*3 + 2] = 0.382911f;
 	val_dir[7270*3 + 0] = -0.235702f;	val_dir[7270*3 + 1] = 0.895669f;	val_dir[7270*3 + 2] = 0.377124f;
 	val_dir[7271*3 + 0] = -0.208795f;	val_dir[7271*3 + 1] = 0.904777f;	val_dir[7271*3 + 2] = 0.371191f;
 	val_dir[7272*3 + 0] = -0.182574f;	val_dir[7272*3 + 1] = 0.912871f;	val_dir[7272*3 + 2] = 0.365148f;
 	val_dir[7273*3 + 0] = -0.157075f;	val_dir[7273*3 + 1] = 0.920014f;	val_dir[7273*3 + 2] = 0.359030f;
 	val_dir[7274*3 + 0] = -0.132324f;	val_dir[7274*3 + 1] = 0.926270f;	val_dir[7274*3 + 2] = 0.352865f;
 	val_dir[7275*3 + 0] = -0.108338f;	val_dir[7275*3 + 1] = 0.931705f;	val_dir[7275*3 + 2] = 0.346681f;
 	val_dir[7276*3 + 0] = -0.085126f;	val_dir[7276*3 + 1] = 0.936382f;	val_dir[7276*3 + 2] = 0.340503f;
 	val_dir[7277*3 + 0] = -0.062691f;	val_dir[7277*3 + 1] = 0.940361f;	val_dir[7277*3 + 2] = 0.334351f;
 	val_dir[7278*3 + 0] = -0.041030f;	val_dir[7278*3 + 1] = 0.943701f;	val_dir[7278*3 + 2] = 0.328244f;
 	val_dir[7279*3 + 0] = -0.020137f;	val_dir[7279*3 + 1] = 0.946458f;	val_dir[7279*3 + 2] = 0.322198f;
 	val_dir[7280*3 + 0] = 0.0f;	val_dir[7280*3 + 1] = 0.948683f;	val_dir[7280*3 + 2] = 0.316228f;
 	val_dir[7281*3 + 0] = 0.019619f;	val_dir[7281*3 + 1] = 0.961339f;	val_dir[7281*3 + 2] = 0.274668f;
 	val_dir[7282*3 + 0] = 0.038866f;	val_dir[7282*3 + 1] = 0.971653f;	val_dir[7282*3 + 2] = 0.233197f;
 	val_dir[7283*3 + 0] = 0.057628f;	val_dir[7283*3 + 1] = 0.979683f;	val_dir[7283*3 + 2] = 0.192095f;
 	val_dir[7284*3 + 0] = 0.075810f;	val_dir[7284*3 + 1] = 0.985527f;	val_dir[7284*3 + 2] = 0.151620f;
 	val_dir[7285*3 + 0] = 0.093332f;	val_dir[7285*3 + 1] = 0.989316f;	val_dir[7285*3 + 2] = 0.111998f;
 	val_dir[7286*3 + 0] = 0.110133f;	val_dir[7286*3 + 1] = 0.991201f;	val_dir[7286*3 + 2] = 0.073422f;
 	val_dir[7287*3 + 0] = 0.126172f;	val_dir[7287*3 + 1] = 0.991353f;	val_dir[7287*3 + 2] = 0.036049f;
 	val_dir[7288*3 + 0] = 0.141421f;	val_dir[7288*3 + 1] = 0.989949f;	val_dir[7288*3 + 2] = 0.0f;
 	val_dir[7289*3 + 0] = -0.992122f;	val_dir[7289*3 + 1] = -0.124015f;	val_dir[7289*3 + 2] = 0.017716f;
 	val_dir[7290*3 + 0] = -0.992644f;	val_dir[7290*3 + 1] = -0.108288f;	val_dir[7290*3 + 2] = 0.054144f;
 	val_dir[7291*3 + 0] = -0.991535f;	val_dir[7291*3 + 1] = -0.091809f;	val_dir[7291*3 + 2] = 0.091809f;
 	val_dir[7292*3 + 0] = -0.988627f;	val_dir[7292*3 + 1] = -0.074613f;	val_dir[7292*3 + 2] = 0.130573f;
 	val_dir[7293*3 + 0] = -0.983762f;	val_dir[7293*3 + 1] = -0.056756f;	val_dir[7293*3 + 2] = 0.170267f;
 	val_dir[7294*3 + 0] = -0.976804f;	val_dir[7294*3 + 1] = -0.038306f;	val_dir[7294*3 + 2] = 0.210683f;
 	val_dir[7295*3 + 0] = -0.967641f;	val_dir[7295*3 + 1] = -0.019353f;	val_dir[7295*3 + 2] = 0.251587f;
 	val_dir[7296*3 + 0] = -0.95620f;	val_dir[7296*3 + 1] = 0.0f;	val_dir[7296*3 + 2] = 0.292714f;
 	val_dir[7297*3 + 0] = -0.954291f;	val_dir[7297*3 + 1] = 0.019881f;	val_dir[7297*3 + 2] = 0.298216f;
 	val_dir[7298*3 + 0] = -0.951877f;	val_dir[7298*3 + 1] = 0.040505f;	val_dir[7298*3 + 2] = 0.303791f;
 	val_dir[7299*3 + 0] = -0.948908f;	val_dir[7299*3 + 1] = 0.061885f;	val_dir[7299*3 + 2] = 0.309426f;
 	val_dir[7300*3 + 0] = -0.945328f;	val_dir[7300*3 + 1] = 0.084029f;	val_dir[7300*3 + 2] = 0.315109f;
 	val_dir[7301*3 + 0] = -0.941082f;	val_dir[7301*3 + 1] = 0.106941f;	val_dir[7301*3 + 2] = 0.320824f;
 	val_dir[7302*3 + 0] = -0.936111f;	val_dir[7302*3 + 1] = 0.130620f;	val_dir[7302*3 + 2] = 0.326550f;
 	val_dir[7303*3 + 0] = -0.930352f;	val_dir[7303*3 + 1] = 0.155059f;	val_dir[7303*3 + 2] = 0.332269f;
 	val_dir[7304*3 + 0] = -0.923742f;	val_dir[7304*3 + 1] = 0.180242f;	val_dir[7304*3 + 2] = 0.337954f;
 	val_dir[7305*3 + 0] = -0.916217f;	val_dir[7305*3 + 1] = 0.206149f;	val_dir[7305*3 + 2] = 0.343582f;
 	val_dir[7306*3 + 0] = -0.907713f;	val_dir[7306*3 + 1] = 0.232747f;	val_dir[7306*3 + 2] = 0.349121f;
 	val_dir[7307*3 + 0] = -0.898167f;	val_dir[7307*3 + 1] = 0.259996f;	val_dir[7307*3 + 2] = 0.354540f;
 	val_dir[7308*3 + 0] = -0.887517f;	val_dir[7308*3 + 1] = 0.287843f;	val_dir[7308*3 + 2] = 0.359804f;
 	val_dir[7309*3 + 0] = -0.875708f;	val_dir[7309*3 + 1] = 0.316228f;	val_dir[7309*3 + 2] = 0.364878f;
 	val_dir[7310*3 + 0] = -0.862687f;	val_dir[7310*3 + 1] = 0.345075f;	val_dir[7310*3 + 2] = 0.369723f;
 	val_dir[7311*3 + 0] = -0.848411f;	val_dir[7311*3 + 1] = 0.374299f;	val_dir[7311*3 + 2] = 0.374299f;
 	val_dir[7312*3 + 0] = -0.832845f;	val_dir[7312*3 + 1] = 0.403804f;	val_dir[7312*3 + 2] = 0.378566f;
 	val_dir[7313*3 + 0] = -0.815966f;	val_dir[7313*3 + 1] = 0.433482f;	val_dir[7313*3 + 2] = 0.382484f;
 	val_dir[7314*3 + 0] = -0.797762f;	val_dir[7314*3 + 1] = 0.463217f;	val_dir[7314*3 + 2] = 0.386014f;
 	val_dir[7315*3 + 0] = -0.778237f;	val_dir[7315*3 + 1] = 0.492883f;	val_dir[7315*3 + 2] = 0.389118f;
 	val_dir[7316*3 + 0] = -0.757410f;	val_dir[7316*3 + 1] = 0.522352f;	val_dir[7316*3 + 2] = 0.391764f;
 	val_dir[7317*3 + 0] = -0.735316f;	val_dir[7317*3 + 1] = 0.551487f;	val_dir[7317*3 + 2] = 0.393919f;
 	val_dir[7318*3 + 0] = -0.712007f;	val_dir[7318*3 + 1] = 0.580154f;	val_dir[7318*3 + 2] = 0.395559f;
 	val_dir[7319*3 + 0] = -0.687552f;	val_dir[7319*3 + 1] = 0.608219f;	val_dir[7319*3 + 2] = 0.396664f;
 	val_dir[7320*3 + 0] = -0.662034f;	val_dir[7320*3 + 1] = 0.635553f;	val_dir[7320*3 + 2] = 0.397220f;
 	val_dir[7321*3 + 0] = -0.635553f;	val_dir[7321*3 + 1] = 0.662034f;	val_dir[7321*3 + 2] = 0.397220f;
 	val_dir[7322*3 + 0] = -0.608219f;	val_dir[7322*3 + 1] = 0.687552f;	val_dir[7322*3 + 2] = 0.396664f;
 	val_dir[7323*3 + 0] = -0.580154f;	val_dir[7323*3 + 1] = 0.712007f;	val_dir[7323*3 + 2] = 0.395559f;
 	val_dir[7324*3 + 0] = -0.551487f;	val_dir[7324*3 + 1] = 0.735316f;	val_dir[7324*3 + 2] = 0.393919f;
 	val_dir[7325*3 + 0] = -0.522352f;	val_dir[7325*3 + 1] = 0.757410f;	val_dir[7325*3 + 2] = 0.391764f;
 	val_dir[7326*3 + 0] = -0.492883f;	val_dir[7326*3 + 1] = 0.778237f;	val_dir[7326*3 + 2] = 0.389118f;
 	val_dir[7327*3 + 0] = -0.463217f;	val_dir[7327*3 + 1] = 0.797762f;	val_dir[7327*3 + 2] = 0.386014f;
 	val_dir[7328*3 + 0] = -0.433482f;	val_dir[7328*3 + 1] = 0.815966f;	val_dir[7328*3 + 2] = 0.382484f;
 	val_dir[7329*3 + 0] = -0.403804f;	val_dir[7329*3 + 1] = 0.832845f;	val_dir[7329*3 + 2] = 0.378566f;
 	val_dir[7330*3 + 0] = -0.374299f;	val_dir[7330*3 + 1] = 0.848411f;	val_dir[7330*3 + 2] = 0.374299f;
 	val_dir[7331*3 + 0] = -0.345075f;	val_dir[7331*3 + 1] = 0.862687f;	val_dir[7331*3 + 2] = 0.369723f;
 	val_dir[7332*3 + 0] = -0.316228f;	val_dir[7332*3 + 1] = 0.875708f;	val_dir[7332*3 + 2] = 0.364878f;
 	val_dir[7333*3 + 0] = -0.287843f;	val_dir[7333*3 + 1] = 0.887517f;	val_dir[7333*3 + 2] = 0.359804f;
 	val_dir[7334*3 + 0] = -0.259996f;	val_dir[7334*3 + 1] = 0.898167f;	val_dir[7334*3 + 2] = 0.354540f;
 	val_dir[7335*3 + 0] = -0.232747f;	val_dir[7335*3 + 1] = 0.907713f;	val_dir[7335*3 + 2] = 0.349121f;
 	val_dir[7336*3 + 0] = -0.206149f;	val_dir[7336*3 + 1] = 0.916217f;	val_dir[7336*3 + 2] = 0.343582f;
 	val_dir[7337*3 + 0] = -0.180242f;	val_dir[7337*3 + 1] = 0.923742f;	val_dir[7337*3 + 2] = 0.337954f;
 	val_dir[7338*3 + 0] = -0.155059f;	val_dir[7338*3 + 1] = 0.930352f;	val_dir[7338*3 + 2] = 0.332269f;
 	val_dir[7339*3 + 0] = -0.130620f;	val_dir[7339*3 + 1] = 0.936111f;	val_dir[7339*3 + 2] = 0.326550f;
 	val_dir[7340*3 + 0] = -0.106941f;	val_dir[7340*3 + 1] = 0.941082f;	val_dir[7340*3 + 2] = 0.320824f;
 	val_dir[7341*3 + 0] = -0.084029f;	val_dir[7341*3 + 1] = 0.945328f;	val_dir[7341*3 + 2] = 0.315109f;
 	val_dir[7342*3 + 0] = -0.061885f;	val_dir[7342*3 + 1] = 0.948908f;	val_dir[7342*3 + 2] = 0.309426f;
 	val_dir[7343*3 + 0] = -0.040505f;	val_dir[7343*3 + 1] = 0.951877f;	val_dir[7343*3 + 2] = 0.303791f;
 	val_dir[7344*3 + 0] = -0.019881f;	val_dir[7344*3 + 1] = 0.954291f;	val_dir[7344*3 + 2] = 0.298216f;
 	val_dir[7345*3 + 0] = 0.0f;	val_dir[7345*3 + 1] = 0.95620f;	val_dir[7345*3 + 2] = 0.292714f;
 	val_dir[7346*3 + 0] = 0.019353f;	val_dir[7346*3 + 1] = 0.967641f;	val_dir[7346*3 + 2] = 0.251587f;
 	val_dir[7347*3 + 0] = 0.038306f;	val_dir[7347*3 + 1] = 0.976804f;	val_dir[7347*3 + 2] = 0.210683f;
 	val_dir[7348*3 + 0] = 0.056756f;	val_dir[7348*3 + 1] = 0.983762f;	val_dir[7348*3 + 2] = 0.170267f;
 	val_dir[7349*3 + 0] = 0.074613f;	val_dir[7349*3 + 1] = 0.988627f;	val_dir[7349*3 + 2] = 0.130573f;
 	val_dir[7350*3 + 0] = 0.091809f;	val_dir[7350*3 + 1] = 0.991535f;	val_dir[7350*3 + 2] = 0.091809f;
 	val_dir[7351*3 + 0] = 0.108288f;	val_dir[7351*3 + 1] = 0.992644f;	val_dir[7351*3 + 2] = 0.054144f;
 	val_dir[7352*3 + 0] = 0.124015f;	val_dir[7352*3 + 1] = 0.992122f;	val_dir[7352*3 + 2] = 0.017716f;
 	val_dir[7353*3 + 0] = -0.992543f;	val_dir[7353*3 + 1] = -0.121891f;	val_dir[7353*3 + 2] = 0.0f;
 	val_dir[7354*3 + 0] = -0.993683f;	val_dir[7354*3 + 1] = -0.106466f;	val_dir[7354*3 + 2] = 0.035489f;
 	val_dir[7355*3 + 0] = -0.993291f;	val_dir[7355*3 + 1] = -0.090299f;	val_dir[7355*3 + 2] = 0.072239f;
 	val_dir[7356*3 + 0] = -0.991201f;	val_dir[7356*3 + 1] = -0.073422f;	val_dir[7356*3 + 2] = 0.110133f;
 	val_dir[7357*3 + 0] = -0.987254f;	val_dir[7357*3 + 1] = -0.055882f;	val_dir[7357*3 + 2] = 0.149019f;
 	val_dir[7358*3 + 0] = -0.981307f;	val_dir[7358*3 + 1] = -0.037743f;	val_dir[7358*3 + 2] = 0.188713f;
 	val_dir[7359*3 + 0] = -0.973240f;	val_dir[7359*3 + 1] = -0.019083f;	val_dir[7359*3 + 2] = 0.228998f;
 	val_dir[7360*3 + 0] = -0.962964f;	val_dir[7360*3 + 1] = 0.0f;	val_dir[7360*3 + 2] = 0.269630f;
 	val_dir[7361*3 + 0] = -0.961339f;	val_dir[7361*3 + 1] = 0.019619f;	val_dir[7361*3 + 2] = 0.274668f;
 	val_dir[7362*3 + 0] = -0.959233f;	val_dir[7362*3 + 1] = 0.039968f;	val_dir[7362*3 + 2] = 0.279776f;
 	val_dir[7363*3 + 0] = -0.956597f;	val_dir[7363*3 + 1] = 0.061059f;	val_dir[7363*3 + 2] = 0.284944f;
 	val_dir[7364*3 + 0] = -0.953381f;	val_dir[7364*3 + 1] = 0.082903f;	val_dir[7364*3 + 2] = 0.290159f;
 	val_dir[7365*3 + 0] = -0.949528f;	val_dir[7365*3 + 1] = 0.105503f;	val_dir[7365*3 + 2] = 0.295409f;
 	val_dir[7366*3 + 0] = -0.944981f;	val_dir[7366*3 + 1] = 0.128861f;	val_dir[7366*3 + 2] = 0.300676f;
 	val_dir[7367*3 + 0] = -0.939680f;	val_dir[7367*3 + 1] = 0.152971f;	val_dir[7367*3 + 2] = 0.305942f;
 	val_dir[7368*3 + 0] = -0.933564f;	val_dir[7368*3 + 1] = 0.177822f;	val_dir[7368*3 + 2] = 0.311188f;
 	val_dir[7369*3 + 0] = -0.926568f;	val_dir[7369*3 + 1] = 0.203393f;	val_dir[7369*3 + 2] = 0.316389f;
 	val_dir[7370*3 + 0] = -0.918630f;	val_dir[7370*3 + 1] = 0.229658f;	val_dir[7370*3 + 2] = 0.321521f;
 	val_dir[7371*3 + 0] = -0.909687f;	val_dir[7371*3 + 1] = 0.256578f;	val_dir[7371*3 + 2] = 0.326554f;
 	val_dir[7372*3 + 0] = -0.899676f;	val_dir[7372*3 + 1] = 0.284108f;	val_dir[7372*3 + 2] = 0.331460f;
 	val_dir[7373*3 + 0] = -0.888540f;	val_dir[7373*3 + 1] = 0.312190f;	val_dir[7373*3 + 2] = 0.336204f;
 	val_dir[7374*3 + 0] = -0.876226f;	val_dir[7374*3 + 1] = 0.340755f;	val_dir[7374*3 + 2] = 0.340755f;
 	val_dir[7375*3 + 0] = -0.862687f;	val_dir[7375*3 + 1] = 0.369723f;	val_dir[7375*3 + 2] = 0.345075f;
 	val_dir[7376*3 + 0] = -0.847883f;	val_dir[7376*3 + 1] = 0.399004f;	val_dir[7376*3 + 2] = 0.349128f;
 	val_dir[7377*3 + 0] = -0.831786f;	val_dir[7377*3 + 1] = 0.428496f;	val_dir[7377*3 + 2] = 0.352879f;
 	val_dir[7378*3 + 0] = -0.814379f;	val_dir[7378*3 + 1] = 0.458088f;	val_dir[7378*3 + 2] = 0.356291f;
 	val_dir[7379*3 + 0] = -0.795657f;	val_dir[7379*3 + 1] = 0.487661f;	val_dir[7379*3 + 2] = 0.359329f;
 	val_dir[7380*3 + 0] = -0.775632f;	val_dir[7380*3 + 1] = 0.517088f;	val_dir[7380*3 + 2] = 0.361961f;
 	val_dir[7381*3 + 0] = -0.754329f;	val_dir[7381*3 + 1] = 0.546238f;	val_dir[7381*3 + 2] = 0.364159f;
 	val_dir[7382*3 + 0] = -0.731792f;	val_dir[7382*3 + 1] = 0.574979f;	val_dir[7382*3 + 2] = 0.365896f;
 	val_dir[7383*3 + 0] = -0.708079f;	val_dir[7383*3 + 1] = 0.603178f;	val_dir[7383*3 + 2] = 0.367152f;
 	val_dir[7384*3 + 0] = -0.683265f;	val_dir[7384*3 + 1] = 0.630706f;	val_dir[7384*3 + 2] = 0.367912f;
 	val_dir[7385*3 + 0] = -0.657440f;	val_dir[7385*3 + 1] = 0.657440f;	val_dir[7385*3 + 2] = 0.368166f;
 	val_dir[7386*3 + 0] = -0.630706f;	val_dir[7386*3 + 1] = 0.683265f;	val_dir[7386*3 + 2] = 0.367912f;
 	val_dir[7387*3 + 0] = -0.603178f;	val_dir[7387*3 + 1] = 0.708079f;	val_dir[7387*3 + 2] = 0.367152f;
 	val_dir[7388*3 + 0] = -0.574979f;	val_dir[7388*3 + 1] = 0.731792f;	val_dir[7388*3 + 2] = 0.365896f;
 	val_dir[7389*3 + 0] = -0.546238f;	val_dir[7389*3 + 1] = 0.754329f;	val_dir[7389*3 + 2] = 0.364159f;
 	val_dir[7390*3 + 0] = -0.517088f;	val_dir[7390*3 + 1] = 0.775632f;	val_dir[7390*3 + 2] = 0.361961f;
 	val_dir[7391*3 + 0] = -0.487661f;	val_dir[7391*3 + 1] = 0.795657f;	val_dir[7391*3 + 2] = 0.359329f;
 	val_dir[7392*3 + 0] = -0.458088f;	val_dir[7392*3 + 1] = 0.814379f;	val_dir[7392*3 + 2] = 0.356291f;
 	val_dir[7393*3 + 0] = -0.428496f;	val_dir[7393*3 + 1] = 0.831786f;	val_dir[7393*3 + 2] = 0.352879f;
 	val_dir[7394*3 + 0] = -0.399004f;	val_dir[7394*3 + 1] = 0.847883f;	val_dir[7394*3 + 2] = 0.349128f;
 	val_dir[7395*3 + 0] = -0.369723f;	val_dir[7395*3 + 1] = 0.862687f;	val_dir[7395*3 + 2] = 0.345075f;
 	val_dir[7396*3 + 0] = -0.340755f;	val_dir[7396*3 + 1] = 0.876226f;	val_dir[7396*3 + 2] = 0.340755f;
 	val_dir[7397*3 + 0] = -0.312190f;	val_dir[7397*3 + 1] = 0.888540f;	val_dir[7397*3 + 2] = 0.336204f;
 	val_dir[7398*3 + 0] = -0.284108f;	val_dir[7398*3 + 1] = 0.899676f;	val_dir[7398*3 + 2] = 0.331460f;
 	val_dir[7399*3 + 0] = -0.256578f;	val_dir[7399*3 + 1] = 0.909687f;	val_dir[7399*3 + 2] = 0.326554f;
 	val_dir[7400*3 + 0] = -0.229658f;	val_dir[7400*3 + 1] = 0.918630f;	val_dir[7400*3 + 2] = 0.321521f;
 	val_dir[7401*3 + 0] = -0.203393f;	val_dir[7401*3 + 1] = 0.926568f;	val_dir[7401*3 + 2] = 0.316389f;
 	val_dir[7402*3 + 0] = -0.177822f;	val_dir[7402*3 + 1] = 0.933564f;	val_dir[7402*3 + 2] = 0.311188f;
 	val_dir[7403*3 + 0] = -0.152971f;	val_dir[7403*3 + 1] = 0.939680f;	val_dir[7403*3 + 2] = 0.305942f;
 	val_dir[7404*3 + 0] = -0.128861f;	val_dir[7404*3 + 1] = 0.944981f;	val_dir[7404*3 + 2] = 0.300676f;
 	val_dir[7405*3 + 0] = -0.105503f;	val_dir[7405*3 + 1] = 0.949528f;	val_dir[7405*3 + 2] = 0.295409f;
 	val_dir[7406*3 + 0] = -0.082903f;	val_dir[7406*3 + 1] = 0.953381f;	val_dir[7406*3 + 2] = 0.290159f;
 	val_dir[7407*3 + 0] = -0.061059f;	val_dir[7407*3 + 1] = 0.956597f;	val_dir[7407*3 + 2] = 0.284944f;
 	val_dir[7408*3 + 0] = -0.039968f;	val_dir[7408*3 + 1] = 0.959233f;	val_dir[7408*3 + 2] = 0.279776f;
 	val_dir[7409*3 + 0] = -0.019619f;	val_dir[7409*3 + 1] = 0.961339f;	val_dir[7409*3 + 2] = 0.274668f;
 	val_dir[7410*3 + 0] = 0.0f;	val_dir[7410*3 + 1] = 0.962964f;	val_dir[7410*3 + 2] = 0.269630f;
 	val_dir[7411*3 + 0] = 0.019083f;	val_dir[7411*3 + 1] = 0.973240f;	val_dir[7411*3 + 2] = 0.228998f;
 	val_dir[7412*3 + 0] = 0.037743f;	val_dir[7412*3 + 1] = 0.981307f;	val_dir[7412*3 + 2] = 0.188713f;
 	val_dir[7413*3 + 0] = 0.055882f;	val_dir[7413*3 + 1] = 0.987254f;	val_dir[7413*3 + 2] = 0.149019f;
 	val_dir[7414*3 + 0] = 0.073422f;	val_dir[7414*3 + 1] = 0.991201f;	val_dir[7414*3 + 2] = 0.110133f;
 	val_dir[7415*3 + 0] = 0.090299f;	val_dir[7415*3 + 1] = 0.993291f;	val_dir[7415*3 + 2] = 0.072239f;
 	val_dir[7416*3 + 0] = 0.106466f;	val_dir[7416*3 + 1] = 0.993683f;	val_dir[7416*3 + 2] = 0.035489f;
 	val_dir[7417*3 + 0] = 0.121891f;	val_dir[7417*3 + 1] = 0.992543f;	val_dir[7417*3 + 2] = 0.0f;
 	val_dir[7418*3 + 0] = -0.994354f;	val_dir[7418*3 + 1] = -0.104669f;	val_dir[7418*3 + 2] = 0.017445f;
 	val_dir[7419*3 + 0] = -0.994623f;	val_dir[7419*3 + 1] = -0.088806f;	val_dir[7419*3 + 2] = 0.053283f;
 	val_dir[7420*3 + 0] = -0.993291f;	val_dir[7420*3 + 1] = -0.072239f;	val_dir[7420*3 + 2] = 0.090299f;
 	val_dir[7421*3 + 0] = -0.990201f;	val_dir[7421*3 + 1] = -0.055011f;	val_dir[7421*3 + 2] = 0.128359f;
 	val_dir[7422*3 + 0] = -0.985205f;	val_dir[7422*3 + 1] = -0.037178f;	val_dir[7422*3 + 2] = 0.167299f;
 	val_dir[7423*3 + 0] = -0.978177f;	val_dir[7423*3 + 1] = -0.018811f;	val_dir[7423*3 + 2] = 0.206922f;
 	val_dir[7424*3 + 0] = -0.969015f;	val_dir[7424*3 + 1] = 0.0f;	val_dir[7424*3 + 2] = 0.247004f;
 	val_dir[7425*3 + 0] = -0.967641f;	val_dir[7425*3 + 1] = 0.019353f;	val_dir[7425*3 + 2] = 0.251587f;
 	val_dir[7426*3 + 0] = -0.965810f;	val_dir[7426*3 + 1] = 0.039421f;	val_dir[7426*3 + 2] = 0.256235f;
 	val_dir[7427*3 + 0] = -0.963475f;	val_dir[7427*3 + 1] = 0.060217f;	val_dir[7427*3 + 2] = 0.260941f;
 	val_dir[7428*3 + 0] = -0.960585f;	val_dir[7428*3 + 1] = 0.081752f;	val_dir[7428*3 + 2] = 0.265694f;
 	val_dir[7429*3 + 0] = -0.957088f;	val_dir[7429*3 + 1] = 0.104031f;	val_dir[7429*3 + 2] = 0.270481f;
 	val_dir[7430*3 + 0] = -0.952928f;	val_dir[7430*3 + 1] = 0.127057f;	val_dir[7430*3 + 2] = 0.275290f;
 	val_dir[7431*3 + 0] = -0.948047f;	val_dir[7431*3 + 1] = 0.150826f;	val_dir[7431*3 + 2] = 0.280105f;
 	val_dir[7432*3 + 0] = -0.942384f;	val_dir[7432*3 + 1] = 0.175327f;	val_dir[7432*3 + 2] = 0.284907f;
 	val_dir[7433*3 + 0] = -0.935879f;	val_dir[7433*3 + 1] = 0.200545f;	val_dir[7433*3 + 2] = 0.289677f;
 	val_dir[7434*3 + 0] = -0.928467f;	val_dir[7434*3 + 1] = 0.226455f;	val_dir[7434*3 + 2] = 0.294392f;
 	val_dir[7435*3 + 0] = -0.920087f;	val_dir[7435*3 + 1] = 0.253024f;	val_dir[7435*3 + 2] = 0.299028f;
 	val_dir[7436*3 + 0] = -0.910678f;	val_dir[7436*3 + 1] = 0.280209f;	val_dir[7436*3 + 2] = 0.303559f;
 	val_dir[7437*3 + 0] = -0.900181f;	val_dir[7437*3 + 1] = 0.307957f;	val_dir[7437*3 + 2] = 0.307957f;
 	val_dir[7438*3 + 0] = -0.888540f;	val_dir[7438*3 + 1] = 0.336204f;	val_dir[7438*3 + 2] = 0.312190f;
 	val_dir[7439*3 + 0] = -0.875708f;	val_dir[7439*3 + 1] = 0.364878f;	val_dir[7439*3 + 2] = 0.316228f;
 	val_dir[7440*3 + 0] = -0.861640f;	val_dir[7440*3 + 1] = 0.393893f;	val_dir[7440*3 + 2] = 0.320038f;
 	val_dir[7441*3 + 0] = -0.846305f;	val_dir[7441*3 + 1] = 0.423153f;	val_dir[7441*3 + 2] = 0.323587f;
 	val_dir[7442*3 + 0] = -0.829680f;	val_dir[7442*3 + 1] = 0.452553f;	val_dir[7442*3 + 2] = 0.326844f;
 	val_dir[7443*3 + 0] = -0.811754f;	val_dir[7443*3 + 1] = 0.481979f;	val_dir[7443*3 + 2] = 0.329775f;
 	val_dir[7444*3 + 0] = -0.792530f;	val_dir[7444*3 + 1] = 0.511310f;	val_dir[7444*3 + 2] = 0.332352f;
 	val_dir[7445*3 + 0] = -0.772027f;	val_dir[7445*3 + 1] = 0.540419f;	val_dir[7445*3 + 2] = 0.334545f;
 	val_dir[7446*3 + 0] = -0.750279f;	val_dir[7446*3 + 1] = 0.569177f;	val_dir[7446*3 + 2] = 0.336332f;
 	val_dir[7447*3 + 0] = -0.727334f;	val_dir[7447*3 + 1] = 0.597453f;	val_dir[7447*3 + 2] = 0.337691f;
 	val_dir[7448*3 + 0] = -0.703259f;	val_dir[7448*3 + 1] = 0.625119f;	val_dir[7448*3 + 2] = 0.338606f;
 	val_dir[7449*3 + 0] = -0.678133f;	val_dir[7449*3 + 1] = 0.652051f;	val_dir[7449*3 + 2] = 0.339066f;
 	val_dir[7450*3 + 0] = -0.652051f;	val_dir[7450*3 + 1] = 0.678133f;	val_dir[7450*3 + 2] = 0.339066f;
 	val_dir[7451*3 + 0] = -0.625119f;	val_dir[7451*3 + 1] = 0.703259f;	val_dir[7451*3 + 2] = 0.338606f;
 	val_dir[7452*3 + 0] = -0.597453f;	val_dir[7452*3 + 1] = 0.727334f;	val_dir[7452*3 + 2] = 0.337691f;
 	val_dir[7453*3 + 0] = -0.569177f;	val_dir[7453*3 + 1] = 0.750279f;	val_dir[7453*3 + 2] = 0.336332f;
 	val_dir[7454*3 + 0] = -0.540419f;	val_dir[7454*3 + 1] = 0.772027f;	val_dir[7454*3 + 2] = 0.334545f;
 	val_dir[7455*3 + 0] = -0.511310f;	val_dir[7455*3 + 1] = 0.792530f;	val_dir[7455*3 + 2] = 0.332352f;
 	val_dir[7456*3 + 0] = -0.481979f;	val_dir[7456*3 + 1] = 0.811754f;	val_dir[7456*3 + 2] = 0.329775f;
 	val_dir[7457*3 + 0] = -0.452553f;	val_dir[7457*3 + 1] = 0.829680f;	val_dir[7457*3 + 2] = 0.326844f;
 	val_dir[7458*3 + 0] = -0.423153f;	val_dir[7458*3 + 1] = 0.846305f;	val_dir[7458*3 + 2] = 0.323587f;
 	val_dir[7459*3 + 0] = -0.393893f;	val_dir[7459*3 + 1] = 0.861640f;	val_dir[7459*3 + 2] = 0.320038f;
 	val_dir[7460*3 + 0] = -0.364878f;	val_dir[7460*3 + 1] = 0.875708f;	val_dir[7460*3 + 2] = 0.316228f;
 	val_dir[7461*3 + 0] = -0.336204f;	val_dir[7461*3 + 1] = 0.888540f;	val_dir[7461*3 + 2] = 0.312190f;
 	val_dir[7462*3 + 0] = -0.307957f;	val_dir[7462*3 + 1] = 0.900181f;	val_dir[7462*3 + 2] = 0.307957f;
 	val_dir[7463*3 + 0] = -0.280209f;	val_dir[7463*3 + 1] = 0.910678f;	val_dir[7463*3 + 2] = 0.303559f;
 	val_dir[7464*3 + 0] = -0.253024f;	val_dir[7464*3 + 1] = 0.920087f;	val_dir[7464*3 + 2] = 0.299028f;
 	val_dir[7465*3 + 0] = -0.226455f;	val_dir[7465*3 + 1] = 0.928467f;	val_dir[7465*3 + 2] = 0.294392f;
 	val_dir[7466*3 + 0] = -0.200545f;	val_dir[7466*3 + 1] = 0.935879f;	val_dir[7466*3 + 2] = 0.289677f;
 	val_dir[7467*3 + 0] = -0.175327f;	val_dir[7467*3 + 1] = 0.942384f;	val_dir[7467*3 + 2] = 0.284907f;
 	val_dir[7468*3 + 0] = -0.150826f;	val_dir[7468*3 + 1] = 0.948047f;	val_dir[7468*3 + 2] = 0.280105f;
 	val_dir[7469*3 + 0] = -0.127057f;	val_dir[7469*3 + 1] = 0.952928f;	val_dir[7469*3 + 2] = 0.275290f;
 	val_dir[7470*3 + 0] = -0.104031f;	val_dir[7470*3 + 1] = 0.957088f;	val_dir[7470*3 + 2] = 0.270481f;
 	val_dir[7471*3 + 0] = -0.081752f;	val_dir[7471*3 + 1] = 0.960585f;	val_dir[7471*3 + 2] = 0.265694f;
 	val_dir[7472*3 + 0] = -0.060217f;	val_dir[7472*3 + 1] = 0.963475f;	val_dir[7472*3 + 2] = 0.260941f;
 	val_dir[7473*3 + 0] = -0.039421f;	val_dir[7473*3 + 1] = 0.965810f;	val_dir[7473*3 + 2] = 0.256235f;
 	val_dir[7474*3 + 0] = -0.019353f;	val_dir[7474*3 + 1] = 0.967641f;	val_dir[7474*3 + 2] = 0.251587f;
 	val_dir[7475*3 + 0] = 0.0f;	val_dir[7475*3 + 1] = 0.969015f;	val_dir[7475*3 + 2] = 0.247004f;
 	val_dir[7476*3 + 0] = 0.018811f;	val_dir[7476*3 + 1] = 0.978177f;	val_dir[7476*3 + 2] = 0.206922f;
 	val_dir[7477*3 + 0] = 0.037178f;	val_dir[7477*3 + 1] = 0.985205f;	val_dir[7477*3 + 2] = 0.167299f;
 	val_dir[7478*3 + 0] = 0.055011f;	val_dir[7478*3 + 1] = 0.990201f;	val_dir[7478*3 + 2] = 0.128359f;
 	val_dir[7479*3 + 0] = 0.072239f;	val_dir[7479*3 + 1] = 0.993291f;	val_dir[7479*3 + 2] = 0.090299f;
 	val_dir[7480*3 + 0] = 0.088806f;	val_dir[7480*3 + 1] = 0.994623f;	val_dir[7480*3 + 2] = 0.053283f;
 	val_dir[7481*3 + 0] = 0.104669f;	val_dir[7481*3 + 1] = 0.994354f;	val_dir[7481*3 + 2] = 0.017445f;
 	val_dir[7482*3 + 0] = -0.994692f;	val_dir[7482*3 + 1] = -0.102899f;	val_dir[7482*3 + 2] = 0.0f;
 	val_dir[7483*3 + 0] = -0.995567f;	val_dir[7483*3 + 1] = -0.087330f;	val_dir[7483*3 + 2] = 0.034932f;
 	val_dir[7484*3 + 0] = -0.994937f;	val_dir[7484*3 + 1] = -0.071067f;	val_dir[7484*3 + 2] = 0.071067f;
 	val_dir[7485*3 + 0] = -0.992644f;	val_dir[7485*3 + 1] = -0.054144f;	val_dir[7485*3 + 2] = 0.108288f;
 	val_dir[7486*3 + 0] = -0.988540f;	val_dir[7486*3 + 1] = -0.036613f;	val_dir[7486*3 + 2] = 0.146450f;
 	val_dir[7487*3 + 0] = -0.982493f;	val_dir[7487*3 + 1] = -0.018538f;	val_dir[7487*3 + 2] = 0.185376f;
 	val_dir[7488*3 + 0] = -0.974391f;	val_dir[7488*3 + 1] = 0.0f;	val_dir[7488*3 + 2] = 0.224860f;
 	val_dir[7489*3 + 0] = -0.973240f;	val_dir[7489*3 + 1] = 0.019083f;	val_dir[7489*3 + 2] = 0.228998f;
 	val_dir[7490*3 + 0] = -0.971653f;	val_dir[7490*3 + 1] = 0.038866f;	val_dir[7490*3 + 2] = 0.233197f;
 	val_dir[7491*3 + 0] = -0.969584f;	val_dir[7491*3 + 1] = 0.059362f;	val_dir[7491*3 + 2] = 0.237449f;
 	val_dir[7492*3 + 0] = -0.966988f;	val_dir[7492*3 + 1] = 0.080582f;	val_dir[7492*3 + 2] = 0.241747f;
 	val_dir[7493*3 + 0] = -0.963811f;	val_dir[7493*3 + 1] = 0.102533f;	val_dir[7493*3 + 2] = 0.246079f;
 	val_dir[7494*3 + 0] = -0.960001f;	val_dir[7494*3 + 1] = 0.125218f;	val_dir[7494*3 + 2] = 0.250435f;
 	val_dir[7495*3 + 0] = -0.955502f;	val_dir[7495*3 + 1] = 0.148634f;	val_dir[7495*3 + 2] = 0.254801f;
 	val_dir[7496*3 + 0] = -0.950255f;	val_dir[7496*3 + 1] = 0.172774f;	val_dir[7496*3 + 2] = 0.259161f;
 	val_dir[7497*3 + 0] = -0.94420f;	val_dir[7497*3 + 1] = 0.197623f;	val_dir[7497*3 + 2] = 0.263498f;
 	val_dir[7498*3 + 0] = -0.937276f;	val_dir[7498*3 + 1] = 0.223161f;	val_dir[7498*3 + 2] = 0.267793f;
 	val_dir[7499*3 + 0] = -0.929421f;	val_dir[7499*3 + 1] = 0.249357f;	val_dir[7499*3 + 2] = 0.272026f;
 	val_dir[7500*3 + 0] = -0.920575f;	val_dir[7500*3 + 1] = 0.276172f;	val_dir[7500*3 + 2] = 0.276172f;
 	val_dir[7501*3 + 0] = -0.910678f;	val_dir[7501*3 + 1] = 0.303559f;	val_dir[7501*3 + 2] = 0.280209f;
 	val_dir[7502*3 + 0] = -0.899676f;	val_dir[7502*3 + 1] = 0.331460f;	val_dir[7502*3 + 2] = 0.284108f;
 	val_dir[7503*3 + 0] = -0.887517f;	val_dir[7503*3 + 1] = 0.359804f;	val_dir[7503*3 + 2] = 0.287843f;
 	val_dir[7504*3 + 0] = -0.874157f;	val_dir[7504*3 + 1] = 0.388514f;	val_dir[7504*3 + 2] = 0.291386f;
 	val_dir[7505*3 + 0] = -0.859559f;	val_dir[7505*3 + 1] = 0.41750f;	val_dir[7505*3 + 2] = 0.294706f;
 	val_dir[7506*3 + 0] = -0.843696f;	val_dir[7506*3 + 1] = 0.446662f;	val_dir[7506*3 + 2] = 0.297775f;
 	val_dir[7507*3 + 0] = -0.826551f;	val_dir[7507*3 + 1] = 0.475893f;	val_dir[7507*3 + 2] = 0.300564f;
 	val_dir[7508*3 + 0] = -0.808122f;	val_dir[7508*3 + 1] = 0.505076f;	val_dir[7508*3 + 2] = 0.303046f;
 	val_dir[7509*3 + 0] = -0.788419f;	val_dir[7509*3 + 1] = 0.534090f;	val_dir[7509*3 + 2] = 0.305194f;
 	val_dir[7510*3 + 0] = -0.767467f;	val_dir[7510*3 + 1] = 0.562809f;	val_dir[7510*3 + 2] = 0.306987f;
 	val_dir[7511*3 + 0] = -0.745307f;	val_dir[7511*3 + 1] = 0.591105f;	val_dir[7511*3 + 2] = 0.308403f;
 	val_dir[7512*3 + 0] = -0.721995f;	val_dir[7512*3 + 1] = 0.618853f;	val_dir[7512*3 + 2] = 0.309426f;
 	val_dir[7513*3 + 0] = -0.697602f;	val_dir[7513*3 + 1] = 0.645928f;	val_dir[7513*3 + 2] = 0.310045f;
 	val_dir[7514*3 + 0] = -0.672214f;	val_dir[7514*3 + 1] = 0.672214f;	val_dir[7514*3 + 2] = 0.310253f;
 	val_dir[7515*3 + 0] = -0.645928f;	val_dir[7515*3 + 1] = 0.697602f;	val_dir[7515*3 + 2] = 0.310045f;
 	val_dir[7516*3 + 0] = -0.618853f;	val_dir[7516*3 + 1] = 0.721995f;	val_dir[7516*3 + 2] = 0.309426f;
 	val_dir[7517*3 + 0] = -0.591105f;	val_dir[7517*3 + 1] = 0.745307f;	val_dir[7517*3 + 2] = 0.308403f;
 	val_dir[7518*3 + 0] = -0.562809f;	val_dir[7518*3 + 1] = 0.767467f;	val_dir[7518*3 + 2] = 0.306987f;
 	val_dir[7519*3 + 0] = -0.534090f;	val_dir[7519*3 + 1] = 0.788419f;	val_dir[7519*3 + 2] = 0.305194f;
 	val_dir[7520*3 + 0] = -0.505076f;	val_dir[7520*3 + 1] = 0.808122f;	val_dir[7520*3 + 2] = 0.303046f;
 	val_dir[7521*3 + 0] = -0.475893f;	val_dir[7521*3 + 1] = 0.826551f;	val_dir[7521*3 + 2] = 0.300564f;
 	val_dir[7522*3 + 0] = -0.446662f;	val_dir[7522*3 + 1] = 0.843696f;	val_dir[7522*3 + 2] = 0.297775f;
 	val_dir[7523*3 + 0] = -0.41750f;	val_dir[7523*3 + 1] = 0.859559f;	val_dir[7523*3 + 2] = 0.294706f;
 	val_dir[7524*3 + 0] = -0.388514f;	val_dir[7524*3 + 1] = 0.874157f;	val_dir[7524*3 + 2] = 0.291386f;
 	val_dir[7525*3 + 0] = -0.359804f;	val_dir[7525*3 + 1] = 0.887517f;	val_dir[7525*3 + 2] = 0.287843f;
 	val_dir[7526*3 + 0] = -0.331460f;	val_dir[7526*3 + 1] = 0.899676f;	val_dir[7526*3 + 2] = 0.284108f;
 	val_dir[7527*3 + 0] = -0.303559f;	val_dir[7527*3 + 1] = 0.910678f;	val_dir[7527*3 + 2] = 0.280209f;
 	val_dir[7528*3 + 0] = -0.276172f;	val_dir[7528*3 + 1] = 0.920575f;	val_dir[7528*3 + 2] = 0.276172f;
 	val_dir[7529*3 + 0] = -0.249357f;	val_dir[7529*3 + 1] = 0.929421f;	val_dir[7529*3 + 2] = 0.272026f;
 	val_dir[7530*3 + 0] = -0.223161f;	val_dir[7530*3 + 1] = 0.937276f;	val_dir[7530*3 + 2] = 0.267793f;
 	val_dir[7531*3 + 0] = -0.197623f;	val_dir[7531*3 + 1] = 0.94420f;	val_dir[7531*3 + 2] = 0.263498f;
 	val_dir[7532*3 + 0] = -0.172774f;	val_dir[7532*3 + 1] = 0.950255f;	val_dir[7532*3 + 2] = 0.259161f;
 	val_dir[7533*3 + 0] = -0.148634f;	val_dir[7533*3 + 1] = 0.955502f;	val_dir[7533*3 + 2] = 0.254801f;
 	val_dir[7534*3 + 0] = -0.125218f;	val_dir[7534*3 + 1] = 0.960001f;	val_dir[7534*3 + 2] = 0.250435f;
 	val_dir[7535*3 + 0] = -0.102533f;	val_dir[7535*3 + 1] = 0.963811f;	val_dir[7535*3 + 2] = 0.246079f;
 	val_dir[7536*3 + 0] = -0.080582f;	val_dir[7536*3 + 1] = 0.966988f;	val_dir[7536*3 + 2] = 0.241747f;
 	val_dir[7537*3 + 0] = -0.059362f;	val_dir[7537*3 + 1] = 0.969584f;	val_dir[7537*3 + 2] = 0.237449f;
 	val_dir[7538*3 + 0] = -0.038866f;	val_dir[7538*3 + 1] = 0.971653f;	val_dir[7538*3 + 2] = 0.233197f;
 	val_dir[7539*3 + 0] = -0.019083f;	val_dir[7539*3 + 1] = 0.973240f;	val_dir[7539*3 + 2] = 0.228998f;
 	val_dir[7540*3 + 0] = 0.0f;	val_dir[7540*3 + 1] = 0.974391f;	val_dir[7540*3 + 2] = 0.224860f;
 	val_dir[7541*3 + 0] = 0.018538f;	val_dir[7541*3 + 1] = 0.982493f;	val_dir[7541*3 + 2] = 0.185376f;
 	val_dir[7542*3 + 0] = 0.036613f;	val_dir[7542*3 + 1] = 0.988540f;	val_dir[7542*3 + 2] = 0.146450f;
 	val_dir[7543*3 + 0] = 0.054144f;	val_dir[7543*3 + 1] = 0.992644f;	val_dir[7543*3 + 2] = 0.108288f;
 	val_dir[7544*3 + 0] = 0.071067f;	val_dir[7544*3 + 1] = 0.994937f;	val_dir[7544*3 + 2] = 0.071067f;
 	val_dir[7545*3 + 0] = 0.087330f;	val_dir[7545*3 + 1] = 0.995567f;	val_dir[7545*3 + 2] = 0.034932f;
 	val_dir[7546*3 + 0] = 0.102899f;	val_dir[7546*3 + 1] = 0.994692f;	val_dir[7546*3 + 2] = 0.0f;
 	val_dir[7547*3 + 0] = -0.996158f;	val_dir[7547*3 + 1] = -0.085876f;	val_dir[7547*3 + 2] = 0.017175f;
 	val_dir[7548*3 + 0] = -0.996175f;	val_dir[7548*3 + 1] = -0.069907f;	val_dir[7548*3 + 2] = 0.052430f;
 	val_dir[7549*3 + 0] = -0.994623f;	val_dir[7549*3 + 1] = -0.053283f;	val_dir[7549*3 + 2] = 0.088806f;
 	val_dir[7550*3 + 0] = -0.991353f;	val_dir[7550*3 + 1] = -0.036049f;	val_dir[7550*3 + 2] = 0.126172f;
 	val_dir[7551*3 + 0] = -0.986229f;	val_dir[7551*3 + 1] = -0.018264f;	val_dir[7551*3 + 2] = 0.164372f;
 	val_dir[7552*3 + 0] = -0.979134f;	val_dir[7552*3 + 1] = 0.0f;	val_dir[7552*3 + 2] = 0.203216f;
 	val_dir[7553*3 + 0] = -0.978177f;	val_dir[7553*3 + 1] = 0.018811f;	val_dir[7553*3 + 2] = 0.206922f;
 	val_dir[7554*3 + 0] = -0.976804f;	val_dir[7554*3 + 1] = 0.038306f;	val_dir[7554*3 + 2] = 0.210683f;
 	val_dir[7555*3 + 0] = -0.974972f;	val_dir[7555*3 + 1] = 0.058498f;	val_dir[7555*3 + 2] = 0.214494f;
 	val_dir[7556*3 + 0] = -0.972636f;	val_dir[7556*3 + 1] = 0.079399f;	val_dir[7556*3 + 2] = 0.218347f;
 	val_dir[7557*3 + 0] = -0.969746f;	val_dir[7557*3 + 1] = 0.101015f;	val_dir[7557*3 + 2] = 0.222234f;
 	val_dir[7558*3 + 0] = -0.966252f;	val_dir[7558*3 + 1] = 0.123351f;	val_dir[7558*3 + 2] = 0.226144f;
 	val_dir[7559*3 + 0] = -0.962099f;	val_dir[7559*3 + 1] = 0.146406f;	val_dir[7559*3 + 2] = 0.230067f;
 	val_dir[7560*3 + 0] = -0.957230f;	val_dir[7560*3 + 1] = 0.170174f;	val_dir[7560*3 + 2] = 0.233990f;
 	val_dir[7561*3 + 0] = -0.951588f;	val_dir[7561*3 + 1] = 0.194643f;	val_dir[7561*3 + 2] = 0.237897f;
 	val_dir[7562*3 + 0] = -0.945112f;	val_dir[7562*3 + 1] = 0.219793f;	val_dir[7562*3 + 2] = 0.241773f;
 	val_dir[7563*3 + 0] = -0.937743f;	val_dir[7563*3 + 1] = 0.245599f;	val_dir[7563*3 + 2] = 0.245599f;
 	val_dir[7564*3 + 0] = -0.929421f;	val_dir[7564*3 + 1] = 0.272026f;	val_dir[7564*3 + 2] = 0.249357f;
 	val_dir[7565*3 + 0] = -0.920087f;	val_dir[7565*3 + 1] = 0.299028f;	val_dir[7565*3 + 2] = 0.253024f;
 	val_dir[7566*3 + 0] = -0.909687f;	val_dir[7566*3 + 1] = 0.326554f;	val_dir[7566*3 + 2] = 0.256578f;
 	val_dir[7567*3 + 0] = -0.898167f;	val_dir[7567*3 + 1] = 0.354540f;	val_dir[7567*3 + 2] = 0.259996f;
 	val_dir[7568*3 + 0] = -0.885482f;	val_dir[7568*3 + 1] = 0.382911f;	val_dir[7568*3 + 2] = 0.263251f;
 	val_dir[7569*3 + 0] = -0.871592f;	val_dir[7569*3 + 1] = 0.411585f;	val_dir[7569*3 + 2] = 0.266320f;
 	val_dir[7570*3 + 0] = -0.856465f;	val_dir[7570*3 + 1] = 0.440468f;	val_dir[7570*3 + 2] = 0.269175f;
 	val_dir[7571*3 + 0] = -0.840083f;	val_dir[7571*3 + 1] = 0.469458f;	val_dir[7571*3 + 2] = 0.271791f;
 	val_dir[7572*3 + 0] = -0.822434f;	val_dir[7572*3 + 1] = 0.498445f;	val_dir[7572*3 + 2] = 0.274145f;
 	val_dir[7573*3 + 0] = -0.803523f;	val_dir[7573*3 + 1] = 0.527312f;	val_dir[7573*3 + 2] = 0.276211f;
 	val_dir[7574*3 + 0] = -0.783368f;	val_dir[7574*3 + 1] = 0.555939f;	val_dir[7574*3 + 2] = 0.277969f;
 	val_dir[7575*3 + 0] = -0.762001f;	val_dir[7575*3 + 1] = 0.584201f;	val_dir[7575*3 + 2] = 0.27940f;
 	val_dir[7576*3 + 0] = -0.739469f;	val_dir[7576*3 + 1] = 0.611974f;	val_dir[7576*3 + 2] = 0.280488f;
 	val_dir[7577*3 + 0] = -0.715834f;	val_dir[7577*3 + 1] = 0.639138f;	val_dir[7577*3 + 2] = 0.281220f;
 	val_dir[7578*3 + 0] = -0.691173f;	val_dir[7578*3 + 1] = 0.665574f;	val_dir[7578*3 + 2] = 0.281589f;
 	val_dir[7579*3 + 0] = -0.665574f;	val_dir[7579*3 + 1] = 0.691173f;	val_dir[7579*3 + 2] = 0.281589f;
 	val_dir[7580*3 + 0] = -0.639138f;	val_dir[7580*3 + 1] = 0.715834f;	val_dir[7580*3 + 2] = 0.281220f;
 	val_dir[7581*3 + 0] = -0.611974f;	val_dir[7581*3 + 1] = 0.739469f;	val_dir[7581*3 + 2] = 0.280488f;
 	val_dir[7582*3 + 0] = -0.584201f;	val_dir[7582*3 + 1] = 0.762001f;	val_dir[7582*3 + 2] = 0.27940f;
 	val_dir[7583*3 + 0] = -0.555939f;	val_dir[7583*3 + 1] = 0.783368f;	val_dir[7583*3 + 2] = 0.277969f;
 	val_dir[7584*3 + 0] = -0.527312f;	val_dir[7584*3 + 1] = 0.803523f;	val_dir[7584*3 + 2] = 0.276211f;
 	val_dir[7585*3 + 0] = -0.498445f;	val_dir[7585*3 + 1] = 0.822434f;	val_dir[7585*3 + 2] = 0.274145f;
 	val_dir[7586*3 + 0] = -0.469458f;	val_dir[7586*3 + 1] = 0.840083f;	val_dir[7586*3 + 2] = 0.271791f;
 	val_dir[7587*3 + 0] = -0.440468f;	val_dir[7587*3 + 1] = 0.856465f;	val_dir[7587*3 + 2] = 0.269175f;
 	val_dir[7588*3 + 0] = -0.411585f;	val_dir[7588*3 + 1] = 0.871592f;	val_dir[7588*3 + 2] = 0.266320f;
 	val_dir[7589*3 + 0] = -0.382911f;	val_dir[7589*3 + 1] = 0.885482f;	val_dir[7589*3 + 2] = 0.263251f;
 	val_dir[7590*3 + 0] = -0.354540f;	val_dir[7590*3 + 1] = 0.898167f;	val_dir[7590*3 + 2] = 0.259996f;
 	val_dir[7591*3 + 0] = -0.326554f;	val_dir[7591*3 + 1] = 0.909687f;	val_dir[7591*3 + 2] = 0.256578f;
 	val_dir[7592*3 + 0] = -0.299028f;	val_dir[7592*3 + 1] = 0.920087f;	val_dir[7592*3 + 2] = 0.253024f;
 	val_dir[7593*3 + 0] = -0.272026f;	val_dir[7593*3 + 1] = 0.929421f;	val_dir[7593*3 + 2] = 0.249357f;
 	val_dir[7594*3 + 0] = -0.245599f;	val_dir[7594*3 + 1] = 0.937743f;	val_dir[7594*3 + 2] = 0.245599f;
 	val_dir[7595*3 + 0] = -0.219793f;	val_dir[7595*3 + 1] = 0.945112f;	val_dir[7595*3 + 2] = 0.241773f;
 	val_dir[7596*3 + 0] = -0.194643f;	val_dir[7596*3 + 1] = 0.951588f;	val_dir[7596*3 + 2] = 0.237897f;
 	val_dir[7597*3 + 0] = -0.170174f;	val_dir[7597*3 + 1] = 0.957230f;	val_dir[7597*3 + 2] = 0.233990f;
 	val_dir[7598*3 + 0] = -0.146406f;	val_dir[7598*3 + 1] = 0.962099f;	val_dir[7598*3 + 2] = 0.230067f;
 	val_dir[7599*3 + 0] = -0.123351f;	val_dir[7599*3 + 1] = 0.966252f;	val_dir[7599*3 + 2] = 0.226144f;
 	val_dir[7600*3 + 0] = -0.101015f;	val_dir[7600*3 + 1] = 0.969746f;	val_dir[7600*3 + 2] = 0.222234f;
 	val_dir[7601*3 + 0] = -0.079399f;	val_dir[7601*3 + 1] = 0.972636f;	val_dir[7601*3 + 2] = 0.218347f;
 	val_dir[7602*3 + 0] = -0.058498f;	val_dir[7602*3 + 1] = 0.974972f;	val_dir[7602*3 + 2] = 0.214494f;
 	val_dir[7603*3 + 0] = -0.038306f;	val_dir[7603*3 + 1] = 0.976804f;	val_dir[7603*3 + 2] = 0.210683f;
 	val_dir[7604*3 + 0] = -0.018811f;	val_dir[7604*3 + 1] = 0.978177f;	val_dir[7604*3 + 2] = 0.206922f;
 	val_dir[7605*3 + 0] = 0.0f;	val_dir[7605*3 + 1] = 0.979134f;	val_dir[7605*3 + 2] = 0.203216f;
 	val_dir[7606*3 + 0] = 0.018264f;	val_dir[7606*3 + 1] = 0.986229f;	val_dir[7606*3 + 2] = 0.164372f;
 	val_dir[7607*3 + 0] = 0.036049f;	val_dir[7607*3 + 1] = 0.991353f;	val_dir[7607*3 + 2] = 0.126172f;
 	val_dir[7608*3 + 0] = 0.053283f;	val_dir[7608*3 + 1] = 0.994623f;	val_dir[7608*3 + 2] = 0.088806f;
 	val_dir[7609*3 + 0] = 0.069907f;	val_dir[7609*3 + 1] = 0.996175f;	val_dir[7609*3 + 2] = 0.052430f;
 	val_dir[7610*3 + 0] = 0.085876f;	val_dir[7610*3 + 1] = 0.996158f;	val_dir[7610*3 + 2] = 0.017175f;
 	val_dir[7611*3 + 0] = -0.996428f;	val_dir[7611*3 + 1] = -0.084443f;	val_dir[7611*3 + 2] = 0.0f;
 	val_dir[7612*3 + 0] = -0.997041f;	val_dir[7612*3 + 1] = -0.068761f;	val_dir[7612*3 + 2] = 0.034381f;
 	val_dir[7613*3 + 0] = -0.996175f;	val_dir[7613*3 + 1] = -0.052430f;	val_dir[7613*3 + 2] = 0.069907f;
 	val_dir[7614*3 + 0] = -0.993683f;	val_dir[7614*3 + 1] = -0.035489f;	val_dir[7614*3 + 2] = 0.106466f;
 	val_dir[7615*3 + 0] = -0.989426f;	val_dir[7615*3 + 1] = -0.017990f;	val_dir[7615*3 + 2] = 0.143917f;
 	val_dir[7616*3 + 0] = -0.983282f;	val_dir[7616*3 + 1] = 0.0f;	val_dir[7616*3 + 2] = 0.182089f;
 	val_dir[7617*3 + 0] = -0.982493f;	val_dir[7617*3 + 1] = 0.018538f;	val_dir[7617*3 + 2] = 0.185376f;
 	val_dir[7618*3 + 0] = -0.981307f;	val_dir[7618*3 + 1] = 0.037743f;	val_dir[7618*3 + 2] = 0.188713f;
 	val_dir[7619*3 + 0] = -0.979683f;	val_dir[7619*3 + 1] = 0.057628f;	val_dir[7619*3 + 2] = 0.192095f;
 	val_dir[7620*3 + 0] = -0.977577f;	val_dir[7620*3 + 1] = 0.078206f;	val_dir[7620*3 + 2] = 0.195515f;
 	val_dir[7621*3 + 0] = -0.974943f;	val_dir[7621*3 + 1] = 0.099484f;	val_dir[7621*3 + 2] = 0.198968f;
 	val_dir[7622*3 + 0] = -0.971732f;	val_dir[7622*3 + 1] = 0.121466f;	val_dir[7622*3 + 2] = 0.202444f;
 	val_dir[7623*3 + 0] = -0.967890f;	val_dir[7623*3 + 1] = 0.144154f;	val_dir[7623*3 + 2] = 0.205934f;
 	val_dir[7624*3 + 0] = -0.963364f;	val_dir[7624*3 + 1] = 0.167542f;	val_dir[7624*3 + 2] = 0.209427f;
 	val_dir[7625*3 + 0] = -0.958098f;	val_dir[7625*3 + 1] = 0.191620f;	val_dir[7625*3 + 2] = 0.212911f;
 	val_dir[7626*3 + 0] = -0.952033f;	val_dir[7626*3 + 1] = 0.216371f;	val_dir[7626*3 + 2] = 0.216371f;
 	val_dir[7627*3 + 0] = -0.945112f;	val_dir[7627*3 + 1] = 0.241773f;	val_dir[7627*3 + 2] = 0.219793f;
 	val_dir[7628*3 + 0] = -0.937276f;	val_dir[7628*3 + 1] = 0.267793f;	val_dir[7628*3 + 2] = 0.223161f;
 	val_dir[7629*3 + 0] = -0.928467f;	val_dir[7629*3 + 1] = 0.294392f;	val_dir[7629*3 + 2] = 0.226455f;
 	val_dir[7630*3 + 0] = -0.918630f;	val_dir[7630*3 + 1] = 0.321521f;	val_dir[7630*3 + 2] = 0.229658f;
 	val_dir[7631*3 + 0] = -0.907713f;	val_dir[7631*3 + 1] = 0.349121f;	val_dir[7631*3 + 2] = 0.232747f;
 	val_dir[7632*3 + 0] = -0.895669f;	val_dir[7632*3 + 1] = 0.377124f;	val_dir[7632*3 + 2] = 0.235702f;
 	val_dir[7633*3 + 0] = -0.882454f;	val_dir[7633*3 + 1] = 0.405452f;	val_dir[7633*3 + 2] = 0.238501f;
 	val_dir[7634*3 + 0] = -0.868037f;	val_dir[7634*3 + 1] = 0.434019f;	val_dir[7634*3 + 2] = 0.241121f;
 	val_dir[7635*3 + 0] = -0.852392f;	val_dir[7635*3 + 1] = 0.462727f;	val_dir[7635*3 + 2] = 0.243541f;
 	val_dir[7636*3 + 0] = -0.835504f;	val_dir[7636*3 + 1] = 0.491473f;	val_dir[7636*3 + 2] = 0.245737f;
 	val_dir[7637*3 + 0] = -0.817373f;	val_dir[7637*3 + 1] = 0.520146f;	val_dir[7637*3 + 2] = 0.247689f;
 	val_dir[7638*3 + 0] = -0.798007f;	val_dir[7638*3 + 1] = 0.548630f;	val_dir[7638*3 + 2] = 0.249377f;
 	val_dir[7639*3 + 0] = -0.777433f;	val_dir[7639*3 + 1] = 0.576805f;	val_dir[7639*3 + 2] = 0.250785f;
 	val_dir[7640*3 + 0] = -0.755689f;	val_dir[7640*3 + 1] = 0.604551f;	val_dir[7640*3 + 2] = 0.251896f;
 	val_dir[7641*3 + 0] = -0.732828f;	val_dir[7641*3 + 1] = 0.631748f;	val_dir[7641*3 + 2] = 0.252699f;
 	val_dir[7642*3 + 0] = -0.708918f;	val_dir[7642*3 + 1] = 0.658281f;	val_dir[7642*3 + 2] = 0.253185f;
 	val_dir[7643*3 + 0] = -0.684038f;	val_dir[7643*3 + 1] = 0.684038f;	val_dir[7643*3 + 2] = 0.253347f;
 	val_dir[7644*3 + 0] = -0.658281f;	val_dir[7644*3 + 1] = 0.708918f;	val_dir[7644*3 + 2] = 0.253185f;
 	val_dir[7645*3 + 0] = -0.631748f;	val_dir[7645*3 + 1] = 0.732828f;	val_dir[7645*3 + 2] = 0.252699f;
 	val_dir[7646*3 + 0] = -0.604551f;	val_dir[7646*3 + 1] = 0.755689f;	val_dir[7646*3 + 2] = 0.251896f;
 	val_dir[7647*3 + 0] = -0.576805f;	val_dir[7647*3 + 1] = 0.777433f;	val_dir[7647*3 + 2] = 0.250785f;
 	val_dir[7648*3 + 0] = -0.548630f;	val_dir[7648*3 + 1] = 0.798007f;	val_dir[7648*3 + 2] = 0.249377f;
 	val_dir[7649*3 + 0] = -0.520146f;	val_dir[7649*3 + 1] = 0.817373f;	val_dir[7649*3 + 2] = 0.247689f;
 	val_dir[7650*3 + 0] = -0.491473f;	val_dir[7650*3 + 1] = 0.835504f;	val_dir[7650*3 + 2] = 0.245737f;
 	val_dir[7651*3 + 0] = -0.462727f;	val_dir[7651*3 + 1] = 0.852392f;	val_dir[7651*3 + 2] = 0.243541f;
 	val_dir[7652*3 + 0] = -0.434019f;	val_dir[7652*3 + 1] = 0.868037f;	val_dir[7652*3 + 2] = 0.241121f;
 	val_dir[7653*3 + 0] = -0.405452f;	val_dir[7653*3 + 1] = 0.882454f;	val_dir[7653*3 + 2] = 0.238501f;
 	val_dir[7654*3 + 0] = -0.377124f;	val_dir[7654*3 + 1] = 0.895669f;	val_dir[7654*3 + 2] = 0.235702f;
 	val_dir[7655*3 + 0] = -0.349121f;	val_dir[7655*3 + 1] = 0.907713f;	val_dir[7655*3 + 2] = 0.232747f;
 	val_dir[7656*3 + 0] = -0.321521f;	val_dir[7656*3 + 1] = 0.918630f;	val_dir[7656*3 + 2] = 0.229658f;
 	val_dir[7657*3 + 0] = -0.294392f;	val_dir[7657*3 + 1] = 0.928467f;	val_dir[7657*3 + 2] = 0.226455f;
 	val_dir[7658*3 + 0] = -0.267793f;	val_dir[7658*3 + 1] = 0.937276f;	val_dir[7658*3 + 2] = 0.223161f;
 	val_dir[7659*3 + 0] = -0.241773f;	val_dir[7659*3 + 1] = 0.945112f;	val_dir[7659*3 + 2] = 0.219793f;
 	val_dir[7660*3 + 0] = -0.216371f;	val_dir[7660*3 + 1] = 0.952033f;	val_dir[7660*3 + 2] = 0.216371f;
 	val_dir[7661*3 + 0] = -0.191620f;	val_dir[7661*3 + 1] = 0.958098f;	val_dir[7661*3 + 2] = 0.212911f;
 	val_dir[7662*3 + 0] = -0.167542f;	val_dir[7662*3 + 1] = 0.963364f;	val_dir[7662*3 + 2] = 0.209427f;
 	val_dir[7663*3 + 0] = -0.144154f;	val_dir[7663*3 + 1] = 0.967890f;	val_dir[7663*3 + 2] = 0.205934f;
 	val_dir[7664*3 + 0] = -0.121466f;	val_dir[7664*3 + 1] = 0.971732f;	val_dir[7664*3 + 2] = 0.202444f;
 	val_dir[7665*3 + 0] = -0.099484f;	val_dir[7665*3 + 1] = 0.974943f;	val_dir[7665*3 + 2] = 0.198968f;
 	val_dir[7666*3 + 0] = -0.078206f;	val_dir[7666*3 + 1] = 0.977577f;	val_dir[7666*3 + 2] = 0.195515f;
 	val_dir[7667*3 + 0] = -0.057628f;	val_dir[7667*3 + 1] = 0.979683f;	val_dir[7667*3 + 2] = 0.192095f;
 	val_dir[7668*3 + 0] = -0.037743f;	val_dir[7668*3 + 1] = 0.981307f;	val_dir[7668*3 + 2] = 0.188713f;
 	val_dir[7669*3 + 0] = -0.018538f;	val_dir[7669*3 + 1] = 0.982493f;	val_dir[7669*3 + 2] = 0.185376f;
 	val_dir[7670*3 + 0] = 0.0f;	val_dir[7670*3 + 1] = 0.983282f;	val_dir[7670*3 + 2] = 0.182089f;
 	val_dir[7671*3 + 0] = 0.017990f;	val_dir[7671*3 + 1] = 0.989426f;	val_dir[7671*3 + 2] = 0.143917f;
 	val_dir[7672*3 + 0] = 0.035489f;	val_dir[7672*3 + 1] = 0.993683f;	val_dir[7672*3 + 2] = 0.106466f;
 	val_dir[7673*3 + 0] = 0.052430f;	val_dir[7673*3 + 1] = 0.996175f;	val_dir[7673*3 + 2] = 0.069907f;
 	val_dir[7674*3 + 0] = 0.068761f;	val_dir[7674*3 + 1] = 0.997041f;	val_dir[7674*3 + 2] = 0.034381f;
 	val_dir[7675*3 + 0] = 0.084443f;	val_dir[7675*3 + 1] = 0.996428f;	val_dir[7675*3 + 2] = 0.0f;
 	val_dir[7676*3 + 0] = -0.997567f;	val_dir[7676*3 + 1] = -0.067632f;	val_dir[7676*3 + 2] = 0.016908f;
 	val_dir[7677*3 + 0] = -0.997335f;	val_dir[7677*3 + 1] = -0.051586f;	val_dir[7677*3 + 2] = 0.051586f;
 	val_dir[7678*3 + 0] = -0.995567f;	val_dir[7678*3 + 1] = -0.034932f;	val_dir[7678*3 + 2] = 0.087330f;
 	val_dir[7679*3 + 0] = -0.992122f;	val_dir[7679*3 + 1] = -0.017716f;	val_dir[7679*3 + 2] = 0.124015f;
 	val_dir[7680*3 + 0] = -0.986875f;	val_dir[7680*3 + 1] = 0.0f;	val_dir[7680*3 + 2] = 0.161489f;
 	val_dir[7681*3 + 0] = -0.986229f;	val_dir[7681*3 + 1] = 0.018264f;	val_dir[7681*3 + 2] = 0.164372f;
 	val_dir[7682*3 + 0] = -0.985205f;	val_dir[7682*3 + 1] = 0.037178f;	val_dir[7682*3 + 2] = 0.167299f;
 	val_dir[7683*3 + 0] = -0.983762f;	val_dir[7683*3 + 1] = 0.056756f;	val_dir[7683*3 + 2] = 0.170267f;
 	val_dir[7684*3 + 0] = -0.981859f;	val_dir[7684*3 + 1] = 0.077009f;	val_dir[7684*3 + 2] = 0.173269f;
 	val_dir[7685*3 + 0] = -0.979451f;	val_dir[7685*3 + 1] = 0.097945f;	val_dir[7685*3 + 2] = 0.176301f;
 	val_dir[7686*3 + 0] = -0.976491f;	val_dir[7686*3 + 1] = 0.119570f;	val_dir[7686*3 + 2] = 0.179355f;
 	val_dir[7687*3 + 0] = -0.972929f;	val_dir[7687*3 + 1] = 0.141885f;	val_dir[7687*3 + 2] = 0.182424f;
 	val_dir[7688*3 + 0] = -0.968712f;	val_dir[7688*3 + 1] = 0.164887f;	val_dir[7688*3 + 2] = 0.185498f;
 	val_dir[7689*3 + 0] = -0.963787f;	val_dir[7689*3 + 1] = 0.188567f;	val_dir[7689*3 + 2] = 0.188567f;
 	val_dir[7690*3 + 0] = -0.958098f;	val_dir[7690*3 + 1] = 0.212911f;	val_dir[7690*3 + 2] = 0.191620f;
 	val_dir[7691*3 + 0] = -0.951588f;	val_dir[7691*3 + 1] = 0.237897f;	val_dir[7691*3 + 2] = 0.194643f;
 	val_dir[7692*3 + 0] = -0.94420f;	val_dir[7692*3 + 1] = 0.263498f;	val_dir[7692*3 + 2] = 0.197623f;
 	val_dir[7693*3 + 0] = -0.935879f;	val_dir[7693*3 + 1] = 0.289677f;	val_dir[7693*3 + 2] = 0.200545f;
 	val_dir[7694*3 + 0] = -0.926568f;	val_dir[7694*3 + 1] = 0.316389f;	val_dir[7694*3 + 2] = 0.203393f;
 	val_dir[7695*3 + 0] = -0.916217f;	val_dir[7695*3 + 1] = 0.343582f;	val_dir[7695*3 + 2] = 0.206149f;
 	val_dir[7696*3 + 0] = -0.904777f;	val_dir[7696*3 + 1] = 0.371191f;	val_dir[7696*3 + 2] = 0.208795f;
 	val_dir[7697*3 + 0] = -0.892206f;	val_dir[7697*3 + 1] = 0.399145f;	val_dir[7697*3 + 2] = 0.211312f;
 	val_dir[7698*3 + 0] = -0.878466f;	val_dir[7698*3 + 1] = 0.427362f;	val_dir[7698*3 + 2] = 0.213681f;
 	val_dir[7699*3 + 0] = -0.863530f;	val_dir[7699*3 + 1] = 0.455752f;	val_dir[7699*3 + 2] = 0.215883f;
 	val_dir[7700*3 + 0] = -0.847381f;	val_dir[7700*3 + 1] = 0.484217f;	val_dir[7700*3 + 2] = 0.217898f;
 	val_dir[7701*3 + 0] = -0.830009f;	val_dir[7701*3 + 1] = 0.512653f;	val_dir[7701*3 + 2] = 0.219708f;
 	val_dir[7702*3 + 0] = -0.811421f;	val_dir[7702*3 + 1] = 0.540947f;	val_dir[7702*3 + 2] = 0.221297f;
 	val_dir[7703*3 + 0] = -0.791633f;	val_dir[7703*3 + 1] = 0.568986f;	val_dir[7703*3 + 2] = 0.222647f;
 	val_dir[7704*3 + 0] = -0.770677f;	val_dir[7704*3 + 1] = 0.596653f;	val_dir[7704*3 + 2] = 0.223745f;
 	val_dir[7705*3 + 0] = -0.748598f;	val_dir[7705*3 + 1] = 0.623831f;	val_dir[7705*3 + 2] = 0.224579f;
 	val_dir[7706*3 + 0] = -0.725454f;	val_dir[7706*3 + 1] = 0.650407f;	val_dir[7706*3 + 2] = 0.225141f;
 	val_dir[7707*3 + 0] = -0.701316f;	val_dir[7707*3 + 1] = 0.676269f;	val_dir[7707*3 + 2] = 0.225423f;
 	val_dir[7708*3 + 0] = -0.676269f;	val_dir[7708*3 + 1] = 0.701316f;	val_dir[7708*3 + 2] = 0.225423f;
 	val_dir[7709*3 + 0] = -0.650407f;	val_dir[7709*3 + 1] = 0.725454f;	val_dir[7709*3 + 2] = 0.225141f;
 	val_dir[7710*3 + 0] = -0.623831f;	val_dir[7710*3 + 1] = 0.748598f;	val_dir[7710*3 + 2] = 0.224579f;
 	val_dir[7711*3 + 0] = -0.596653f;	val_dir[7711*3 + 1] = 0.770677f;	val_dir[7711*3 + 2] = 0.223745f;
 	val_dir[7712*3 + 0] = -0.568986f;	val_dir[7712*3 + 1] = 0.791633f;	val_dir[7712*3 + 2] = 0.222647f;
 	val_dir[7713*3 + 0] = -0.540947f;	val_dir[7713*3 + 1] = 0.811421f;	val_dir[7713*3 + 2] = 0.221297f;
 	val_dir[7714*3 + 0] = -0.512653f;	val_dir[7714*3 + 1] = 0.830009f;	val_dir[7714*3 + 2] = 0.219708f;
 	val_dir[7715*3 + 0] = -0.484217f;	val_dir[7715*3 + 1] = 0.847381f;	val_dir[7715*3 + 2] = 0.217898f;
 	val_dir[7716*3 + 0] = -0.455752f;	val_dir[7716*3 + 1] = 0.863530f;	val_dir[7716*3 + 2] = 0.215883f;
 	val_dir[7717*3 + 0] = -0.427362f;	val_dir[7717*3 + 1] = 0.878466f;	val_dir[7717*3 + 2] = 0.213681f;
 	val_dir[7718*3 + 0] = -0.399145f;	val_dir[7718*3 + 1] = 0.892206f;	val_dir[7718*3 + 2] = 0.211312f;
 	val_dir[7719*3 + 0] = -0.371191f;	val_dir[7719*3 + 1] = 0.904777f;	val_dir[7719*3 + 2] = 0.208795f;
 	val_dir[7720*3 + 0] = -0.343582f;	val_dir[7720*3 + 1] = 0.916217f;	val_dir[7720*3 + 2] = 0.206149f;
 	val_dir[7721*3 + 0] = -0.316389f;	val_dir[7721*3 + 1] = 0.926568f;	val_dir[7721*3 + 2] = 0.203393f;
 	val_dir[7722*3 + 0] = -0.289677f;	val_dir[7722*3 + 1] = 0.935879f;	val_dir[7722*3 + 2] = 0.200545f;
 	val_dir[7723*3 + 0] = -0.263498f;	val_dir[7723*3 + 1] = 0.94420f;	val_dir[7723*3 + 2] = 0.197623f;
 	val_dir[7724*3 + 0] = -0.237897f;	val_dir[7724*3 + 1] = 0.951588f;	val_dir[7724*3 + 2] = 0.194643f;
 	val_dir[7725*3 + 0] = -0.212911f;	val_dir[7725*3 + 1] = 0.958098f;	val_dir[7725*3 + 2] = 0.191620f;
 	val_dir[7726*3 + 0] = -0.188567f;	val_dir[7726*3 + 1] = 0.963787f;	val_dir[7726*3 + 2] = 0.188567f;
 	val_dir[7727*3 + 0] = -0.164887f;	val_dir[7727*3 + 1] = 0.968712f;	val_dir[7727*3 + 2] = 0.185498f;
 	val_dir[7728*3 + 0] = -0.141885f;	val_dir[7728*3 + 1] = 0.972929f;	val_dir[7728*3 + 2] = 0.182424f;
 	val_dir[7729*3 + 0] = -0.119570f;	val_dir[7729*3 + 1] = 0.976491f;	val_dir[7729*3 + 2] = 0.179355f;
 	val_dir[7730*3 + 0] = -0.097945f;	val_dir[7730*3 + 1] = 0.979451f;	val_dir[7730*3 + 2] = 0.176301f;
 	val_dir[7731*3 + 0] = -0.077009f;	val_dir[7731*3 + 1] = 0.981859f;	val_dir[7731*3 + 2] = 0.173269f;
 	val_dir[7732*3 + 0] = -0.056756f;	val_dir[7732*3 + 1] = 0.983762f;	val_dir[7732*3 + 2] = 0.170267f;
 	val_dir[7733*3 + 0] = -0.037178f;	val_dir[7733*3 + 1] = 0.985205f;	val_dir[7733*3 + 2] = 0.167299f;
 	val_dir[7734*3 + 0] = -0.018264f;	val_dir[7734*3 + 1] = 0.986229f;	val_dir[7734*3 + 2] = 0.164372f;
 	val_dir[7735*3 + 0] = 0.0f;	val_dir[7735*3 + 1] = 0.986875f;	val_dir[7735*3 + 2] = 0.161489f;
 	val_dir[7736*3 + 0] = 0.017716f;	val_dir[7736*3 + 1] = 0.992122f;	val_dir[7736*3 + 2] = 0.124015f;
 	val_dir[7737*3 + 0] = 0.034932f;	val_dir[7737*3 + 1] = 0.995567f;	val_dir[7737*3 + 2] = 0.087330f;
 	val_dir[7738*3 + 0] = 0.051586f;	val_dir[7738*3 + 1] = 0.997335f;	val_dir[7738*3 + 2] = 0.051586f;
 	val_dir[7739*3 + 0] = 0.067632f;	val_dir[7739*3 + 1] = 0.997567f;	val_dir[7739*3 + 2] = 0.016908f;
 	val_dir[7740*3 + 0] = -0.997785f;	val_dir[7740*3 + 1] = -0.066519f;	val_dir[7740*3 + 2] = 0.0f;
 	val_dir[7741*3 + 0] = -0.998138f;	val_dir[7741*3 + 1] = -0.050753f;	val_dir[7741*3 + 2] = 0.033835f;
 	val_dir[7742*3 + 0] = -0.997041f;	val_dir[7742*3 + 1] = -0.034381f;	val_dir[7742*3 + 2] = 0.068761f;
 	val_dir[7743*3 + 0] = -0.994354f;	val_dir[7743*3 + 1] = -0.017445f;	val_dir[7743*3 + 2] = 0.104669f;
 	val_dir[7744*3 + 0] = -0.989949f;	val_dir[7744*3 + 1] = 0.0f;	val_dir[7744*3 + 2] = 0.141421f;
 	val_dir[7745*3 + 0] = -0.989426f;	val_dir[7745*3 + 1] = 0.017990f;	val_dir[7745*3 + 2] = 0.143917f;
 	val_dir[7746*3 + 0] = -0.988540f;	val_dir[7746*3 + 1] = 0.036613f;	val_dir[7746*3 + 2] = 0.146450f;
 	val_dir[7747*3 + 0] = -0.987254f;	val_dir[7747*3 + 1] = 0.055882f;	val_dir[7747*3 + 2] = 0.149019f;
 	val_dir[7748*3 + 0] = -0.985527f;	val_dir[7748*3 + 1] = 0.075810f;	val_dir[7748*3 + 2] = 0.151620f;
 	val_dir[7749*3 + 0] = -0.983318f;	val_dir[7749*3 + 1] = 0.096404f;	val_dir[7749*3 + 2] = 0.154246f;
 	val_dir[7750*3 + 0] = -0.980581f;	val_dir[7750*3 + 1] = 0.117670f;	val_dir[7750*3 + 2] = 0.156893f;
 	val_dir[7751*3 + 0] = -0.977267f;	val_dir[7751*3 + 1] = 0.139610f;	val_dir[7751*3 + 2] = 0.159554f;
 	val_dir[7752*3 + 0] = -0.973329f;	val_dir[7752*3 + 1] = 0.162221f;	val_dir[7752*3 + 2] = 0.162221f;
 	val_dir[7753*3 + 0] = -0.968712f;	val_dir[7753*3 + 1] = 0.185498f;	val_dir[7753*3 + 2] = 0.164887f;
 	val_dir[7754*3 + 0] = -0.963364f;	val_dir[7754*3 + 1] = 0.209427f;	val_dir[7754*3 + 2] = 0.167542f;
 	val_dir[7755*3 + 0] = -0.957230f;	val_dir[7755*3 + 1] = 0.233990f;	val_dir[7755*3 + 2] = 0.170174f;
 	val_dir[7756*3 + 0] = -0.950255f;	val_dir[7756*3 + 1] = 0.259161f;	val_dir[7756*3 + 2] = 0.172774f;
 	val_dir[7757*3 + 0] = -0.942384f;	val_dir[7757*3 + 1] = 0.284907f;	val_dir[7757*3 + 2] = 0.175327f;
 	val_dir[7758*3 + 0] = -0.933564f;	val_dir[7758*3 + 1] = 0.311188f;	val_dir[7758*3 + 2] = 0.177822f;
 	val_dir[7759*3 + 0] = -0.923742f;	val_dir[7759*3 + 1] = 0.337954f;	val_dir[7759*3 + 2] = 0.180242f;
 	val_dir[7760*3 + 0] = -0.912871f;	val_dir[7760*3 + 1] = 0.365148f;	val_dir[7760*3 + 2] = 0.182574f;
 	val_dir[7761*3 + 0] = -0.900907f;	val_dir[7761*3 + 1] = 0.392703f;	val_dir[7761*3 + 2] = 0.184801f;
 	val_dir[7762*3 + 0] = -0.887812f;	val_dir[7762*3 + 1] = 0.420542f;	val_dir[7762*3 + 2] = 0.186908f;
 	val_dir[7763*3 + 0] = -0.873555f;	val_dir[7763*3 + 1] = 0.448583f;	val_dir[7763*3 + 2] = 0.188877f;
 	val_dir[7764*3 + 0] = -0.858116f;	val_dir[7764*3 + 1] = 0.476731f;	val_dir[7764*3 + 2] = 0.190693f;
 	val_dir[7765*3 + 0] = -0.841482f;	val_dir[7765*3 + 1] = 0.504889f;	val_dir[7765*3 + 2] = 0.192339f;
 	val_dir[7766*3 + 0] = -0.823653f;	val_dir[7766*3 + 1] = 0.532952f;	val_dir[7766*3 + 2] = 0.193801f;
 	val_dir[7767*3 + 0] = -0.804639f;	val_dir[7767*3 + 1] = 0.560809f;	val_dir[7767*3 + 2] = 0.195064f;
 	val_dir[7768*3 + 0] = -0.784465f;	val_dir[7768*3 + 1] = 0.588348f;	val_dir[7768*3 + 2] = 0.196116f;
 	val_dir[7769*3 + 0] = -0.763167f;	val_dir[7769*3 + 1] = 0.615457f;	val_dir[7769*3 + 2] = 0.196946f;
 	val_dir[7770*3 + 0] = -0.740797f;	val_dir[7770*3 + 1] = 0.642024f;	val_dir[7770*3 + 2] = 0.197546f;
 	val_dir[7771*3 + 0] = -0.717418f;	val_dir[7771*3 + 1] = 0.667940f;	val_dir[7771*3 + 2] = 0.197908f;
 	val_dir[7772*3 + 0] = -0.693103f;	val_dir[7772*3 + 1] = 0.693103f;	val_dir[7772*3 + 2] = 0.198030f;
 	val_dir[7773*3 + 0] = -0.667940f;	val_dir[7773*3 + 1] = 0.717418f;	val_dir[7773*3 + 2] = 0.197908f;
 	val_dir[7774*3 + 0] = -0.642024f;	val_dir[7774*3 + 1] = 0.740797f;	val_dir[7774*3 + 2] = 0.197546f;
 	val_dir[7775*3 + 0] = -0.615457f;	val_dir[7775*3 + 1] = 0.763167f;	val_dir[7775*3 + 2] = 0.196946f;
 	val_dir[7776*3 + 0] = -0.588348f;	val_dir[7776*3 + 1] = 0.784465f;	val_dir[7776*3 + 2] = 0.196116f;
 	val_dir[7777*3 + 0] = -0.560809f;	val_dir[7777*3 + 1] = 0.804639f;	val_dir[7777*3 + 2] = 0.195064f;
 	val_dir[7778*3 + 0] = -0.532952f;	val_dir[7778*3 + 1] = 0.823653f;	val_dir[7778*3 + 2] = 0.193801f;
 	val_dir[7779*3 + 0] = -0.504889f;	val_dir[7779*3 + 1] = 0.841482f;	val_dir[7779*3 + 2] = 0.192339f;
 	val_dir[7780*3 + 0] = -0.476731f;	val_dir[7780*3 + 1] = 0.858116f;	val_dir[7780*3 + 2] = 0.190693f;
 	val_dir[7781*3 + 0] = -0.448583f;	val_dir[7781*3 + 1] = 0.873555f;	val_dir[7781*3 + 2] = 0.188877f;
 	val_dir[7782*3 + 0] = -0.420542f;	val_dir[7782*3 + 1] = 0.887812f;	val_dir[7782*3 + 2] = 0.186908f;
 	val_dir[7783*3 + 0] = -0.392703f;	val_dir[7783*3 + 1] = 0.900907f;	val_dir[7783*3 + 2] = 0.184801f;
 	val_dir[7784*3 + 0] = -0.365148f;	val_dir[7784*3 + 1] = 0.912871f;	val_dir[7784*3 + 2] = 0.182574f;
 	val_dir[7785*3 + 0] = -0.337954f;	val_dir[7785*3 + 1] = 0.923742f;	val_dir[7785*3 + 2] = 0.180242f;
 	val_dir[7786*3 + 0] = -0.311188f;	val_dir[7786*3 + 1] = 0.933564f;	val_dir[7786*3 + 2] = 0.177822f;
 	val_dir[7787*3 + 0] = -0.284907f;	val_dir[7787*3 + 1] = 0.942384f;	val_dir[7787*3 + 2] = 0.175327f;
 	val_dir[7788*3 + 0] = -0.259161f;	val_dir[7788*3 + 1] = 0.950255f;	val_dir[7788*3 + 2] = 0.172774f;
 	val_dir[7789*3 + 0] = -0.233990f;	val_dir[7789*3 + 1] = 0.957230f;	val_dir[7789*3 + 2] = 0.170174f;
 	val_dir[7790*3 + 0] = -0.209427f;	val_dir[7790*3 + 1] = 0.963364f;	val_dir[7790*3 + 2] = 0.167542f;
 	val_dir[7791*3 + 0] = -0.185498f;	val_dir[7791*3 + 1] = 0.968712f;	val_dir[7791*3 + 2] = 0.164887f;
 	val_dir[7792*3 + 0] = -0.162221f;	val_dir[7792*3 + 1] = 0.973329f;	val_dir[7792*3 + 2] = 0.162221f;
 	val_dir[7793*3 + 0] = -0.139610f;	val_dir[7793*3 + 1] = 0.977267f;	val_dir[7793*3 + 2] = 0.159554f;
 	val_dir[7794*3 + 0] = -0.117670f;	val_dir[7794*3 + 1] = 0.980581f;	val_dir[7794*3 + 2] = 0.156893f;
 	val_dir[7795*3 + 0] = -0.096404f;	val_dir[7795*3 + 1] = 0.983318f;	val_dir[7795*3 + 2] = 0.154246f;
 	val_dir[7796*3 + 0] = -0.075810f;	val_dir[7796*3 + 1] = 0.985527f;	val_dir[7796*3 + 2] = 0.151620f;
 	val_dir[7797*3 + 0] = -0.055882f;	val_dir[7797*3 + 1] = 0.987254f;	val_dir[7797*3 + 2] = 0.149019f;
 	val_dir[7798*3 + 0] = -0.036613f;	val_dir[7798*3 + 1] = 0.988540f;	val_dir[7798*3 + 2] = 0.146450f;
 	val_dir[7799*3 + 0] = -0.017990f;	val_dir[7799*3 + 1] = 0.989426f;	val_dir[7799*3 + 2] = 0.143917f;
 	val_dir[7800*3 + 0] = 0.0f;	val_dir[7800*3 + 1] = 0.989949f;	val_dir[7800*3 + 2] = 0.141421f;
 	val_dir[7801*3 + 0] = 0.017445f;	val_dir[7801*3 + 1] = 0.994354f;	val_dir[7801*3 + 2] = 0.104669f;
 	val_dir[7802*3 + 0] = 0.034381f;	val_dir[7802*3 + 1] = 0.997041f;	val_dir[7802*3 + 2] = 0.068761f;
 	val_dir[7803*3 + 0] = 0.050753f;	val_dir[7803*3 + 1] = 0.998138f;	val_dir[7803*3 + 2] = 0.033835f;
 	val_dir[7804*3 + 0] = 0.066519f;	val_dir[7804*3 + 1] = 0.997785f;	val_dir[7804*3 + 2] = 0.0f;
 	val_dir[7805*3 + 0] = -0.998614f;	val_dir[7805*3 + 1] = -0.049931f;	val_dir[7805*3 + 2] = 0.016644f;
 	val_dir[7806*3 + 0] = -0.998138f;	val_dir[7806*3 + 1] = -0.033835f;	val_dir[7806*3 + 2] = 0.050753f;
 	val_dir[7807*3 + 0] = -0.996158f;	val_dir[7807*3 + 1] = -0.017175f;	val_dir[7807*3 + 2] = 0.085876f;
 	val_dir[7808*3 + 0] = -0.992543f;	val_dir[7808*3 + 1] = 0.0f;	val_dir[7808*3 + 2] = 0.121891f;
 	val_dir[7809*3 + 0] = -0.992122f;	val_dir[7809*3 + 1] = 0.017716f;	val_dir[7809*3 + 2] = 0.124015f;
 	val_dir[7810*3 + 0] = -0.991353f;	val_dir[7810*3 + 1] = 0.036049f;	val_dir[7810*3 + 2] = 0.126172f;
 	val_dir[7811*3 + 0] = -0.990201f;	val_dir[7811*3 + 1] = 0.055011f;	val_dir[7811*3 + 2] = 0.128359f;
 	val_dir[7812*3 + 0] = -0.988627f;	val_dir[7812*3 + 1] = 0.074613f;	val_dir[7812*3 + 2] = 0.130573f;
 	val_dir[7813*3 + 0] = -0.986591f;	val_dir[7813*3 + 1] = 0.094865f;	val_dir[7813*3 + 2] = 0.132810f;
 	val_dir[7814*3 + 0] = -0.984050f;	val_dir[7814*3 + 1] = 0.115771f;	val_dir[7814*3 + 2] = 0.135066f;
 	val_dir[7815*3 + 0] = -0.980958f;	val_dir[7815*3 + 1] = 0.137334f;	val_dir[7815*3 + 2] = 0.137334f;
 	val_dir[7816*3 + 0] = -0.977267f;	val_dir[7816*3 + 1] = 0.159554f;	val_dir[7816*3 + 2] = 0.139610f;
 	val_dir[7817*3 + 0] = -0.972929f;	val_dir[7817*3 + 1] = 0.182424f;	val_dir[7817*3 + 2] = 0.141885f;
 	val_dir[7818*3 + 0] = -0.967890f;	val_dir[7818*3 + 1] = 0.205934f;	val_dir[7818*3 + 2] = 0.144154f;
 	val_dir[7819*3 + 0] = -0.962099f;	val_dir[7819*3 + 1] = 0.230067f;	val_dir[7819*3 + 2] = 0.146406f;
 	val_dir[7820*3 + 0] = -0.955502f;	val_dir[7820*3 + 1] = 0.254801f;	val_dir[7820*3 + 2] = 0.148634f;
 	val_dir[7821*3 + 0] = -0.948047f;	val_dir[7821*3 + 1] = 0.280105f;	val_dir[7821*3 + 2] = 0.150826f;
 	val_dir[7822*3 + 0] = -0.939680f;	val_dir[7822*3 + 1] = 0.305942f;	val_dir[7822*3 + 2] = 0.152971f;
 	val_dir[7823*3 + 0] = -0.930352f;	val_dir[7823*3 + 1] = 0.332269f;	val_dir[7823*3 + 2] = 0.155059f;
 	val_dir[7824*3 + 0] = -0.920014f;	val_dir[7824*3 + 1] = 0.359030f;	val_dir[7824*3 + 2] = 0.157075f;
 	val_dir[7825*3 + 0] = -0.908622f;	val_dir[7825*3 + 1] = 0.386164f;	val_dir[7825*3 + 2] = 0.159009f;
 	val_dir[7826*3 + 0] = -0.896137f;	val_dir[7826*3 + 1] = 0.413602f;	val_dir[7826*3 + 2] = 0.160845f;
 	val_dir[7827*3 + 0] = -0.882528f;	val_dir[7827*3 + 1] = 0.441264f;	val_dir[7827*3 + 2] = 0.162571f;
 	val_dir[7828*3 + 0] = -0.867770f;	val_dir[7828*3 + 1] = 0.469065f;	val_dir[7828*3 + 2] = 0.164173f;
 	val_dir[7829*3 + 0] = -0.851847f;	val_dir[7829*3 + 1] = 0.496911f;	val_dir[7829*3 + 2] = 0.165637f;
 	val_dir[7830*3 + 0] = -0.834754f;	val_dir[7830*3 + 1] = 0.524703f;	val_dir[7830*3 + 2] = 0.166951f;
 	val_dir[7831*3 + 0] = -0.816497f;	val_dir[7831*3 + 1] = 0.552336f;	val_dir[7831*3 + 2] = 0.168102f;
 	val_dir[7832*3 + 0] = -0.797092f;	val_dir[7832*3 + 1] = 0.579703f;	val_dir[7832*3 + 2] = 0.169080f;
 	val_dir[7833*3 + 0] = -0.776571f;	val_dir[7833*3 + 1] = 0.606696f;	val_dir[7833*3 + 2] = 0.169875f;
 	val_dir[7834*3 + 0] = -0.754976f;	val_dir[7834*3 + 1] = 0.633205f;	val_dir[7834*3 + 2] = 0.170478f;
 	val_dir[7835*3 + 0] = -0.732361f;	val_dir[7835*3 + 1] = 0.659125f;	val_dir[7835*3 + 2] = 0.170884f;
 	val_dir[7836*3 + 0] = -0.708794f;	val_dir[7836*3 + 1] = 0.684353f;	val_dir[7836*3 + 2] = 0.171088f;
 	val_dir[7837*3 + 0] = -0.684353f;	val_dir[7837*3 + 1] = 0.708794f;	val_dir[7837*3 + 2] = 0.171088f;
 	val_dir[7838*3 + 0] = -0.659125f;	val_dir[7838*3 + 1] = 0.732361f;	val_dir[7838*3 + 2] = 0.170884f;
 	val_dir[7839*3 + 0] = -0.633205f;	val_dir[7839*3 + 1] = 0.754976f;	val_dir[7839*3 + 2] = 0.170478f;
 	val_dir[7840*3 + 0] = -0.606696f;	val_dir[7840*3 + 1] = 0.776571f;	val_dir[7840*3 + 2] = 0.169875f;
 	val_dir[7841*3 + 0] = -0.579703f;	val_dir[7841*3 + 1] = 0.797092f;	val_dir[7841*3 + 2] = 0.169080f;
 	val_dir[7842*3 + 0] = -0.552336f;	val_dir[7842*3 + 1] = 0.816497f;	val_dir[7842*3 + 2] = 0.168102f;
 	val_dir[7843*3 + 0] = -0.524703f;	val_dir[7843*3 + 1] = 0.834754f;	val_dir[7843*3 + 2] = 0.166951f;
 	val_dir[7844*3 + 0] = -0.496911f;	val_dir[7844*3 + 1] = 0.851847f;	val_dir[7844*3 + 2] = 0.165637f;
 	val_dir[7845*3 + 0] = -0.469065f;	val_dir[7845*3 + 1] = 0.867770f;	val_dir[7845*3 + 2] = 0.164173f;
 	val_dir[7846*3 + 0] = -0.441264f;	val_dir[7846*3 + 1] = 0.882528f;	val_dir[7846*3 + 2] = 0.162571f;
 	val_dir[7847*3 + 0] = -0.413602f;	val_dir[7847*3 + 1] = 0.896137f;	val_dir[7847*3 + 2] = 0.160845f;
 	val_dir[7848*3 + 0] = -0.386164f;	val_dir[7848*3 + 1] = 0.908622f;	val_dir[7848*3 + 2] = 0.159009f;
 	val_dir[7849*3 + 0] = -0.359030f;	val_dir[7849*3 + 1] = 0.920014f;	val_dir[7849*3 + 2] = 0.157075f;
 	val_dir[7850*3 + 0] = -0.332269f;	val_dir[7850*3 + 1] = 0.930352f;	val_dir[7850*3 + 2] = 0.155059f;
 	val_dir[7851*3 + 0] = -0.305942f;	val_dir[7851*3 + 1] = 0.939680f;	val_dir[7851*3 + 2] = 0.152971f;
 	val_dir[7852*3 + 0] = -0.280105f;	val_dir[7852*3 + 1] = 0.948047f;	val_dir[7852*3 + 2] = 0.150826f;
 	val_dir[7853*3 + 0] = -0.254801f;	val_dir[7853*3 + 1] = 0.955502f;	val_dir[7853*3 + 2] = 0.148634f;
 	val_dir[7854*3 + 0] = -0.230067f;	val_dir[7854*3 + 1] = 0.962099f;	val_dir[7854*3 + 2] = 0.146406f;
 	val_dir[7855*3 + 0] = -0.205934f;	val_dir[7855*3 + 1] = 0.967890f;	val_dir[7855*3 + 2] = 0.144154f;
 	val_dir[7856*3 + 0] = -0.182424f;	val_dir[7856*3 + 1] = 0.972929f;	val_dir[7856*3 + 2] = 0.141885f;
 	val_dir[7857*3 + 0] = -0.159554f;	val_dir[7857*3 + 1] = 0.977267f;	val_dir[7857*3 + 2] = 0.139610f;
 	val_dir[7858*3 + 0] = -0.137334f;	val_dir[7858*3 + 1] = 0.980958f;	val_dir[7858*3 + 2] = 0.137334f;
 	val_dir[7859*3 + 0] = -0.115771f;	val_dir[7859*3 + 1] = 0.984050f;	val_dir[7859*3 + 2] = 0.135066f;
 	val_dir[7860*3 + 0] = -0.094865f;	val_dir[7860*3 + 1] = 0.986591f;	val_dir[7860*3 + 2] = 0.132810f;
 	val_dir[7861*3 + 0] = -0.074613f;	val_dir[7861*3 + 1] = 0.988627f;	val_dir[7861*3 + 2] = 0.130573f;
 	val_dir[7862*3 + 0] = -0.055011f;	val_dir[7862*3 + 1] = 0.990201f;	val_dir[7862*3 + 2] = 0.128359f;
 	val_dir[7863*3 + 0] = -0.036049f;	val_dir[7863*3 + 1] = 0.991353f;	val_dir[7863*3 + 2] = 0.126172f;
 	val_dir[7864*3 + 0] = -0.017716f;	val_dir[7864*3 + 1] = 0.992122f;	val_dir[7864*3 + 2] = 0.124015f;
 	val_dir[7865*3 + 0] = 0.0f;	val_dir[7865*3 + 1] = 0.992543f;	val_dir[7865*3 + 2] = 0.121891f;
 	val_dir[7866*3 + 0] = 0.017175f;	val_dir[7866*3 + 1] = 0.996158f;	val_dir[7866*3 + 2] = 0.085876f;
 	val_dir[7867*3 + 0] = 0.033835f;	val_dir[7867*3 + 1] = 0.998138f;	val_dir[7867*3 + 2] = 0.050753f;
 	val_dir[7868*3 + 0] = 0.049931f;	val_dir[7868*3 + 1] = 0.998614f;	val_dir[7868*3 + 2] = 0.016644f;
 	val_dir[7869*3 + 0] = -0.998793f;	val_dir[7869*3 + 1] = -0.049121f;	val_dir[7869*3 + 2] = 0.0f;
 	val_dir[7870*3 + 0] = -0.998891f;	val_dir[7870*3 + 1] = -0.033296f;	val_dir[7870*3 + 2] = 0.033296f;
 	val_dir[7871*3 + 0] = -0.997567f;	val_dir[7871*3 + 1] = -0.016908f;	val_dir[7871*3 + 2] = 0.067632f;
 	val_dir[7872*3 + 0] = -0.994692f;	val_dir[7872*3 + 1] = 0.0f;	val_dir[7872*3 + 2] = 0.102899f;
 	val_dir[7873*3 + 0] = -0.994354f;	val_dir[7873*3 + 1] = 0.017445f;	val_dir[7873*3 + 2] = 0.104669f;
 	val_dir[7874*3 + 0] = -0.993683f;	val_dir[7874*3 + 1] = 0.035489f;	val_dir[7874*3 + 2] = 0.106466f;
 	val_dir[7875*3 + 0] = -0.992644f;	val_dir[7875*3 + 1] = 0.054144f;	val_dir[7875*3 + 2] = 0.108288f;
 	val_dir[7876*3 + 0] = -0.991201f;	val_dir[7876*3 + 1] = 0.073422f;	val_dir[7876*3 + 2] = 0.110133f;
 	val_dir[7877*3 + 0] = -0.989316f;	val_dir[7877*3 + 1] = 0.093332f;	val_dir[7877*3 + 2] = 0.111998f;
 	val_dir[7878*3 + 0] = -0.986947f;	val_dir[7878*3 + 1] = 0.113878f;	val_dir[7878*3 + 2] = 0.113878f;
 	val_dir[7879*3 + 0] = -0.984050f;	val_dir[7879*3 + 1] = 0.135066f;	val_dir[7879*3 + 2] = 0.115771f;
 	val_dir[7880*3 + 0] = -0.980581f;	val_dir[7880*3 + 1] = 0.156893f;	val_dir[7880*3 + 2] = 0.117670f;
 	val_dir[7881*3 + 0] = -0.976491f;	val_dir[7881*3 + 1] = 0.179355f;	val_dir[7881*3 + 2] = 0.119570f;
 	val_dir[7882*3 + 0] = -0.971732f;	val_dir[7882*3 + 1] = 0.202444f;	val_dir[7882*3 + 2] = 0.121466f;
 	val_dir[7883*3 + 0] = -0.966252f;	val_dir[7883*3 + 1] = 0.226144f;	val_dir[7883*3 + 2] = 0.123351f;
 	val_dir[7884*3 + 0] = -0.960001f;	val_dir[7884*3 + 1] = 0.250435f;	val_dir[7884*3 + 2] = 0.125218f;
 	val_dir[7885*3 + 0] = -0.952928f;	val_dir[7885*3 + 1] = 0.275290f;	val_dir[7885*3 + 2] = 0.127057f;
 	val_dir[7886*3 + 0] = -0.944981f;	val_dir[7886*3 + 1] = 0.300676f;	val_dir[7886*3 + 2] = 0.128861f;
 	val_dir[7887*3 + 0] = -0.936111f;	val_dir[7887*3 + 1] = 0.326550f;	val_dir[7887*3 + 2] = 0.130620f;
 	val_dir[7888*3 + 0] = -0.926270f;	val_dir[7888*3 + 1] = 0.352865f;	val_dir[7888*3 + 2] = 0.132324f;
 	val_dir[7889*3 + 0] = -0.915416f;	val_dir[7889*3 + 1] = 0.379563f;	val_dir[7889*3 + 2] = 0.133963f;
 	val_dir[7890*3 + 0] = -0.903508f;	val_dir[7890*3 + 1] = 0.406579f;	val_dir[7890*3 + 2] = 0.135526f;
 	val_dir[7891*3 + 0] = -0.890513f;	val_dir[7891*3 + 1] = 0.433840f;	val_dir[7891*3 + 2] = 0.137002f;
 	val_dir[7892*3 + 0] = -0.876405f;	val_dir[7892*3 + 1] = 0.461266f;	val_dir[7892*3 + 2] = 0.138380f;
 	val_dir[7893*3 + 0] = -0.861164f;	val_dir[7893*3 + 1] = 0.488769f;	val_dir[7893*3 + 2] = 0.139648f;
 	val_dir[7894*3 + 0] = -0.844782f;	val_dir[7894*3 + 1] = 0.516256f;	val_dir[7894*3 + 2] = 0.140797f;
 	val_dir[7895*3 + 0] = -0.827259f;	val_dir[7895*3 + 1] = 0.543627f;	val_dir[7895*3 + 2] = 0.141816f;
 	val_dir[7896*3 + 0] = -0.808608f;	val_dir[7896*3 + 1] = 0.570782f;	val_dir[7896*3 + 2] = 0.142695f;
 	val_dir[7897*3 + 0] = -0.788851f;	val_dir[7897*3 + 1] = 0.597614f;	val_dir[7897*3 + 2] = 0.143427f;
 	val_dir[7898*3 + 0] = -0.768025f;	val_dir[7898*3 + 1] = 0.624020f;	val_dir[7898*3 + 2] = 0.144005f;
 	val_dir[7899*3 + 0] = -0.746176f;	val_dir[7899*3 + 1] = 0.649895f;	val_dir[7899*3 + 2] = 0.144421f;
 	val_dir[7900*3 + 0] = -0.723364f;	val_dir[7900*3 + 1] = 0.675140f;	val_dir[7900*3 + 2] = 0.144673f;
 	val_dir[7901*3 + 0] = -0.699659f;	val_dir[7901*3 + 1] = 0.699659f;	val_dir[7901*3 + 2] = 0.144757f;
 	val_dir[7902*3 + 0] = -0.675140f;	val_dir[7902*3 + 1] = 0.723364f;	val_dir[7902*3 + 2] = 0.144673f;
 	val_dir[7903*3 + 0] = -0.649895f;	val_dir[7903*3 + 1] = 0.746176f;	val_dir[7903*3 + 2] = 0.144421f;
 	val_dir[7904*3 + 0] = -0.624020f;	val_dir[7904*3 + 1] = 0.768025f;	val_dir[7904*3 + 2] = 0.144005f;
 	val_dir[7905*3 + 0] = -0.597614f;	val_dir[7905*3 + 1] = 0.788851f;	val_dir[7905*3 + 2] = 0.143427f;
 	val_dir[7906*3 + 0] = -0.570782f;	val_dir[7906*3 + 1] = 0.808608f;	val_dir[7906*3 + 2] = 0.142695f;
 	val_dir[7907*3 + 0] = -0.543627f;	val_dir[7907*3 + 1] = 0.827259f;	val_dir[7907*3 + 2] = 0.141816f;
 	val_dir[7908*3 + 0] = -0.516256f;	val_dir[7908*3 + 1] = 0.844782f;	val_dir[7908*3 + 2] = 0.140797f;
 	val_dir[7909*3 + 0] = -0.488769f;	val_dir[7909*3 + 1] = 0.861164f;	val_dir[7909*3 + 2] = 0.139648f;
 	val_dir[7910*3 + 0] = -0.461266f;	val_dir[7910*3 + 1] = 0.876405f;	val_dir[7910*3 + 2] = 0.138380f;
 	val_dir[7911*3 + 0] = -0.433840f;	val_dir[7911*3 + 1] = 0.890513f;	val_dir[7911*3 + 2] = 0.137002f;
 	val_dir[7912*3 + 0] = -0.406579f;	val_dir[7912*3 + 1] = 0.903508f;	val_dir[7912*3 + 2] = 0.135526f;
 	val_dir[7913*3 + 0] = -0.379563f;	val_dir[7913*3 + 1] = 0.915416f;	val_dir[7913*3 + 2] = 0.133963f;
 	val_dir[7914*3 + 0] = -0.352865f;	val_dir[7914*3 + 1] = 0.926270f;	val_dir[7914*3 + 2] = 0.132324f;
 	val_dir[7915*3 + 0] = -0.326550f;	val_dir[7915*3 + 1] = 0.936111f;	val_dir[7915*3 + 2] = 0.130620f;
 	val_dir[7916*3 + 0] = -0.300676f;	val_dir[7916*3 + 1] = 0.944981f;	val_dir[7916*3 + 2] = 0.128861f;
 	val_dir[7917*3 + 0] = -0.275290f;	val_dir[7917*3 + 1] = 0.952928f;	val_dir[7917*3 + 2] = 0.127057f;
 	val_dir[7918*3 + 0] = -0.250435f;	val_dir[7918*3 + 1] = 0.960001f;	val_dir[7918*3 + 2] = 0.125218f;
 	val_dir[7919*3 + 0] = -0.226144f;	val_dir[7919*3 + 1] = 0.966252f;	val_dir[7919*3 + 2] = 0.123351f;
 	val_dir[7920*3 + 0] = -0.202444f;	val_dir[7920*3 + 1] = 0.971732f;	val_dir[7920*3 + 2] = 0.121466f;
 	val_dir[7921*3 + 0] = -0.179355f;	val_dir[7921*3 + 1] = 0.976491f;	val_dir[7921*3 + 2] = 0.119570f;
 	val_dir[7922*3 + 0] = -0.156893f;	val_dir[7922*3 + 1] = 0.980581f;	val_dir[7922*3 + 2] = 0.117670f;
 	val_dir[7923*3 + 0] = -0.135066f;	val_dir[7923*3 + 1] = 0.984050f;	val_dir[7923*3 + 2] = 0.115771f;
 	val_dir[7924*3 + 0] = -0.113878f;	val_dir[7924*3 + 1] = 0.986947f;	val_dir[7924*3 + 2] = 0.113878f;
 	val_dir[7925*3 + 0] = -0.093332f;	val_dir[7925*3 + 1] = 0.989316f;	val_dir[7925*3 + 2] = 0.111998f;
 	val_dir[7926*3 + 0] = -0.073422f;	val_dir[7926*3 + 1] = 0.991201f;	val_dir[7926*3 + 2] = 0.110133f;
 	val_dir[7927*3 + 0] = -0.054144f;	val_dir[7927*3 + 1] = 0.992644f;	val_dir[7927*3 + 2] = 0.108288f;
 	val_dir[7928*3 + 0] = -0.035489f;	val_dir[7928*3 + 1] = 0.993683f;	val_dir[7928*3 + 2] = 0.106466f;
 	val_dir[7929*3 + 0] = -0.017445f;	val_dir[7929*3 + 1] = 0.994354f;	val_dir[7929*3 + 2] = 0.104669f;
 	val_dir[7930*3 + 0] = 0.0f;	val_dir[7930*3 + 1] = 0.994692f;	val_dir[7930*3 + 2] = 0.102899f;
 	val_dir[7931*3 + 0] = 0.016908f;	val_dir[7931*3 + 1] = 0.997567f;	val_dir[7931*3 + 2] = 0.067632f;
 	val_dir[7932*3 + 0] = 0.033296f;	val_dir[7932*3 + 1] = 0.998891f;	val_dir[7932*3 + 2] = 0.033296f;
 	val_dir[7933*3 + 0] = 0.049121f;	val_dir[7933*3 + 1] = 0.998793f;	val_dir[7933*3 + 2] = 0.0f;
 	val_dir[7934*3 + 0] = -0.999329f;	val_dir[7934*3 + 1] = -0.032765f;	val_dir[7934*3 + 2] = 0.016382f;
 	val_dir[7935*3 + 0] = -0.998614f;	val_dir[7935*3 + 1] = -0.016644f;	val_dir[7935*3 + 2] = 0.049931f;
 	val_dir[7936*3 + 0] = -0.996428f;	val_dir[7936*3 + 1] = 0.0f;	val_dir[7936*3 + 2] = 0.084443f;
 	val_dir[7937*3 + 0] = -0.996158f;	val_dir[7937*3 + 1] = 0.017175f;	val_dir[7937*3 + 2] = 0.085876f;
 	val_dir[7938*3 + 0] = -0.995567f;	val_dir[7938*3 + 1] = 0.034932f;	val_dir[7938*3 + 2] = 0.087330f;
 	val_dir[7939*3 + 0] = -0.994623f;	val_dir[7939*3 + 1] = 0.053283f;	val_dir[7939*3 + 2] = 0.088806f;
 	val_dir[7940*3 + 0] = -0.993291f;	val_dir[7940*3 + 1] = 0.072239f;	val_dir[7940*3 + 2] = 0.090299f;
 	val_dir[7941*3 + 0] = -0.991535f;	val_dir[7941*3 + 1] = 0.091809f;	val_dir[7941*3 + 2] = 0.091809f;
 	val_dir[7942*3 + 0] = -0.989316f;	val_dir[7942*3 + 1] = 0.111998f;	val_dir[7942*3 + 2] = 0.093332f;
 	val_dir[7943*3 + 0] = -0.986591f;	val_dir[7943*3 + 1] = 0.132810f;	val_dir[7943*3 + 2] = 0.094865f;
 	val_dir[7944*3 + 0] = -0.983318f;	val_dir[7944*3 + 1] = 0.154246f;	val_dir[7944*3 + 2] = 0.096404f;
 	val_dir[7945*3 + 0] = -0.979451f;	val_dir[7945*3 + 1] = 0.176301f;	val_dir[7945*3 + 2] = 0.097945f;
 	val_dir[7946*3 + 0] = -0.974943f;	val_dir[7946*3 + 1] = 0.198968f;	val_dir[7946*3 + 2] = 0.099484f;
 	val_dir[7947*3 + 0] = -0.969746f;	val_dir[7947*3 + 1] = 0.222234f;	val_dir[7947*3 + 2] = 0.101015f;
 	val_dir[7948*3 + 0] = -0.963811f;	val_dir[7948*3 + 1] = 0.246079f;	val_dir[7948*3 + 2] = 0.102533f;
 	val_dir[7949*3 + 0] = -0.957088f;	val_dir[7949*3 + 1] = 0.270481f;	val_dir[7949*3 + 2] = 0.104031f;
 	val_dir[7950*3 + 0] = -0.949528f;	val_dir[7950*3 + 1] = 0.295409f;	val_dir[7950*3 + 2] = 0.105503f;
 	val_dir[7951*3 + 0] = -0.941082f;	val_dir[7951*3 + 1] = 0.320824f;	val_dir[7951*3 + 2] = 0.106941f;
 	val_dir[7952*3 + 0] = -0.931705f;	val_dir[7952*3 + 1] = 0.346681f;	val_dir[7952*3 + 2] = 0.108338f;
 	val_dir[7953*3 + 0] = -0.921354f;	val_dir[7953*3 + 1] = 0.372929f;	val_dir[7953*3 + 2] = 0.109685f;
 	val_dir[7954*3 + 0] = -0.909988f;	val_dir[7954*3 + 1] = 0.399507f;	val_dir[7954*3 + 2] = 0.110974f;
 	val_dir[7955*3 + 0] = -0.897574f;	val_dir[7955*3 + 1] = 0.426348f;	val_dir[7955*3 + 2] = 0.112197f;
 	val_dir[7956*3 + 0] = -0.884083f;	val_dir[7956*3 + 1] = 0.453376f;	val_dir[7956*3 + 2] = 0.113344f;
 	val_dir[7957*3 + 0] = -0.869495f;	val_dir[7957*3 + 1] = 0.480510f;	val_dir[7957*3 + 2] = 0.114407f;
 	val_dir[7958*3 + 0] = -0.853796f;	val_dir[7958*3 + 1] = 0.507662f;	val_dir[7958*3 + 2] = 0.115378f;
 	val_dir[7959*3 + 0] = -0.836983f;	val_dir[7959*3 + 1] = 0.534739f;	val_dir[7959*3 + 2] = 0.116248f;
 	val_dir[7960*3 + 0] = -0.819064f;	val_dir[7960*3 + 1] = 0.561644f;	val_dir[7960*3 + 2] = 0.117009f;
 	val_dir[7961*3 + 0] = -0.800055f;	val_dir[7961*3 + 1] = 0.588276f;	val_dir[7961*3 + 2] = 0.117655f;
 	val_dir[7962*3 + 0] = -0.779987f;	val_dir[7962*3 + 1] = 0.614535f;	val_dir[7962*3 + 2] = 0.118180f;
 	val_dir[7963*3 + 0] = -0.758899f;	val_dir[7963*3 + 1] = 0.640321f;	val_dir[7963*3 + 2] = 0.118578f;
 	val_dir[7964*3 + 0] = -0.736843f;	val_dir[7964*3 + 1] = 0.665536f;	val_dir[7964*3 + 2] = 0.118846f;
 	val_dir[7965*3 + 0] = -0.713881f;	val_dir[7965*3 + 1] = 0.690085f;	val_dir[7965*3 + 2] = 0.118980f;
 	val_dir[7966*3 + 0] = -0.690085f;	val_dir[7966*3 + 1] = 0.713881f;	val_dir[7966*3 + 2] = 0.118980f;
 	val_dir[7967*3 + 0] = -0.665536f;	val_dir[7967*3 + 1] = 0.736843f;	val_dir[7967*3 + 2] = 0.118846f;
 	val_dir[7968*3 + 0] = -0.640321f;	val_dir[7968*3 + 1] = 0.758899f;	val_dir[7968*3 + 2] = 0.118578f;
 	val_dir[7969*3 + 0] = -0.614535f;	val_dir[7969*3 + 1] = 0.779987f;	val_dir[7969*3 + 2] = 0.118180f;
 	val_dir[7970*3 + 0] = -0.588276f;	val_dir[7970*3 + 1] = 0.800055f;	val_dir[7970*3 + 2] = 0.117655f;
 	val_dir[7971*3 + 0] = -0.561644f;	val_dir[7971*3 + 1] = 0.819064f;	val_dir[7971*3 + 2] = 0.117009f;
 	val_dir[7972*3 + 0] = -0.534739f;	val_dir[7972*3 + 1] = 0.836983f;	val_dir[7972*3 + 2] = 0.116248f;
 	val_dir[7973*3 + 0] = -0.507662f;	val_dir[7973*3 + 1] = 0.853796f;	val_dir[7973*3 + 2] = 0.115378f;
 	val_dir[7974*3 + 0] = -0.480510f;	val_dir[7974*3 + 1] = 0.869495f;	val_dir[7974*3 + 2] = 0.114407f;
 	val_dir[7975*3 + 0] = -0.453376f;	val_dir[7975*3 + 1] = 0.884083f;	val_dir[7975*3 + 2] = 0.113344f;
 	val_dir[7976*3 + 0] = -0.426348f;	val_dir[7976*3 + 1] = 0.897574f;	val_dir[7976*3 + 2] = 0.112197f;
 	val_dir[7977*3 + 0] = -0.399507f;	val_dir[7977*3 + 1] = 0.909988f;	val_dir[7977*3 + 2] = 0.110974f;
 	val_dir[7978*3 + 0] = -0.372929f;	val_dir[7978*3 + 1] = 0.921354f;	val_dir[7978*3 + 2] = 0.109685f;
 	val_dir[7979*3 + 0] = -0.346681f;	val_dir[7979*3 + 1] = 0.931705f;	val_dir[7979*3 + 2] = 0.108338f;
 	val_dir[7980*3 + 0] = -0.320824f;	val_dir[7980*3 + 1] = 0.941082f;	val_dir[7980*3 + 2] = 0.106941f;
 	val_dir[7981*3 + 0] = -0.295409f;	val_dir[7981*3 + 1] = 0.949528f;	val_dir[7981*3 + 2] = 0.105503f;
 	val_dir[7982*3 + 0] = -0.270481f;	val_dir[7982*3 + 1] = 0.957088f;	val_dir[7982*3 + 2] = 0.104031f;
 	val_dir[7983*3 + 0] = -0.246079f;	val_dir[7983*3 + 1] = 0.963811f;	val_dir[7983*3 + 2] = 0.102533f;
 	val_dir[7984*3 + 0] = -0.222234f;	val_dir[7984*3 + 1] = 0.969746f;	val_dir[7984*3 + 2] = 0.101015f;
 	val_dir[7985*3 + 0] = -0.198968f;	val_dir[7985*3 + 1] = 0.974943f;	val_dir[7985*3 + 2] = 0.099484f;
 	val_dir[7986*3 + 0] = -0.176301f;	val_dir[7986*3 + 1] = 0.979451f;	val_dir[7986*3 + 2] = 0.097945f;
 	val_dir[7987*3 + 0] = -0.154246f;	val_dir[7987*3 + 1] = 0.983318f;	val_dir[7987*3 + 2] = 0.096404f;
 	val_dir[7988*3 + 0] = -0.132810f;	val_dir[7988*3 + 1] = 0.986591f;	val_dir[7988*3 + 2] = 0.094865f;
 	val_dir[7989*3 + 0] = -0.111998f;	val_dir[7989*3 + 1] = 0.989316f;	val_dir[7989*3 + 2] = 0.093332f;
 	val_dir[7990*3 + 0] = -0.091809f;	val_dir[7990*3 + 1] = 0.991535f;	val_dir[7990*3 + 2] = 0.091809f;
 	val_dir[7991*3 + 0] = -0.072239f;	val_dir[7991*3 + 1] = 0.993291f;	val_dir[7991*3 + 2] = 0.090299f;
 	val_dir[7992*3 + 0] = -0.053283f;	val_dir[7992*3 + 1] = 0.994623f;	val_dir[7992*3 + 2] = 0.088806f;
 	val_dir[7993*3 + 0] = -0.034932f;	val_dir[7993*3 + 1] = 0.995567f;	val_dir[7993*3 + 2] = 0.087330f;
 	val_dir[7994*3 + 0] = -0.017175f;	val_dir[7994*3 + 1] = 0.996158f;	val_dir[7994*3 + 2] = 0.085876f;
 	val_dir[7995*3 + 0] = 0.0f;	val_dir[7995*3 + 1] = 0.996428f;	val_dir[7995*3 + 2] = 0.084443f;
 	val_dir[7996*3 + 0] = 0.016644f;	val_dir[7996*3 + 1] = 0.998614f;	val_dir[7996*3 + 2] = 0.049931f;
 	val_dir[7997*3 + 0] = 0.032765f;	val_dir[7997*3 + 1] = 0.999329f;	val_dir[7997*3 + 2] = 0.016382f;
 	val_dir[7998*3 + 0] = -0.999480f;	val_dir[7998*3 + 1] = -0.032241f;	val_dir[7998*3 + 2] = 0.0f;
 	val_dir[7999*3 + 0] = -0.999329f;	val_dir[7999*3 + 1] = -0.016382f;	val_dir[7999*3 + 2] = 0.032765f;
 	val_dir[8000*3 + 0] = -0.997785f;	val_dir[8000*3 + 1] = 0.0f;	val_dir[8000*3 + 2] = 0.066519f;
 	val_dir[8001*3 + 0] = -0.997567f;	val_dir[8001*3 + 1] = 0.016908f;	val_dir[8001*3 + 2] = 0.067632f;
 	val_dir[8002*3 + 0] = -0.997041f;	val_dir[8002*3 + 1] = 0.034381f;	val_dir[8002*3 + 2] = 0.068761f;
 	val_dir[8003*3 + 0] = -0.996175f;	val_dir[8003*3 + 1] = 0.052430f;	val_dir[8003*3 + 2] = 0.069907f;
 	val_dir[8004*3 + 0] = -0.994937f;	val_dir[8004*3 + 1] = 0.071067f;	val_dir[8004*3 + 2] = 0.071067f;
 	val_dir[8005*3 + 0] = -0.993291f;	val_dir[8005*3 + 1] = 0.090299f;	val_dir[8005*3 + 2] = 0.072239f;
 	val_dir[8006*3 + 0] = -0.991201f;	val_dir[8006*3 + 1] = 0.110133f;	val_dir[8006*3 + 2] = 0.073422f;
 	val_dir[8007*3 + 0] = -0.988627f;	val_dir[8007*3 + 1] = 0.130573f;	val_dir[8007*3 + 2] = 0.074613f;
 	val_dir[8008*3 + 0] = -0.985527f;	val_dir[8008*3 + 1] = 0.151620f;	val_dir[8008*3 + 2] = 0.075810f;
 	val_dir[8009*3 + 0] = -0.981859f;	val_dir[8009*3 + 1] = 0.173269f;	val_dir[8009*3 + 2] = 0.077009f;
 	val_dir[8010*3 + 0] = -0.977577f;	val_dir[8010*3 + 1] = 0.195515f;	val_dir[8010*3 + 2] = 0.078206f;
 	val_dir[8011*3 + 0] = -0.972636f;	val_dir[8011*3 + 1] = 0.218347f;	val_dir[8011*3 + 2] = 0.079399f;
 	val_dir[8012*3 + 0] = -0.966988f;	val_dir[8012*3 + 1] = 0.241747f;	val_dir[8012*3 + 2] = 0.080582f;
 	val_dir[8013*3 + 0] = -0.960585f;	val_dir[8013*3 + 1] = 0.265694f;	val_dir[8013*3 + 2] = 0.081752f;
 	val_dir[8014*3 + 0] = -0.953381f;	val_dir[8014*3 + 1] = 0.290159f;	val_dir[8014*3 + 2] = 0.082903f;
 	val_dir[8015*3 + 0] = -0.945328f;	val_dir[8015*3 + 1] = 0.315109f;	val_dir[8015*3 + 2] = 0.084029f;
 	val_dir[8016*3 + 0] = -0.936382f;	val_dir[8016*3 + 1] = 0.340503f;	val_dir[8016*3 + 2] = 0.085126f;
 	val_dir[8017*3 + 0] = -0.92650f;	val_dir[8017*3 + 1] = 0.366291f;	val_dir[8017*3 + 2] = 0.086186f;
 	val_dir[8018*3 + 0] = -0.915644f;	val_dir[8018*3 + 1] = 0.392419f;	val_dir[8018*3 + 2] = 0.087204f;
 	val_dir[8019*3 + 0] = -0.903777f;	val_dir[8019*3 + 1] = 0.418823f;	val_dir[8019*3 + 2] = 0.088173f;
 	val_dir[8020*3 + 0] = -0.890871f;	val_dir[8020*3 + 1] = 0.445435f;	val_dir[8020*3 + 2] = 0.089087f;
 	val_dir[8021*3 + 0] = -0.876903f;	val_dir[8021*3 + 1] = 0.472178f;	val_dir[8021*3 + 2] = 0.089939f;
 	val_dir[8022*3 + 0] = -0.861857f;	val_dir[8022*3 + 1] = 0.498970f;	val_dir[8022*3 + 2] = 0.090722f;
 	val_dir[8023*3 + 0] = -0.845728f;	val_dir[8023*3 + 1] = 0.525723f;	val_dir[8023*3 + 2] = 0.091430f;
 	val_dir[8024*3 + 0] = -0.828517f;	val_dir[8024*3 + 1] = 0.552345f;	val_dir[8024*3 + 2] = 0.092057f;
 	val_dir[8025*3 + 0] = -0.810237f;	val_dir[8025*3 + 1] = 0.578741f;	val_dir[8025*3 + 2] = 0.092599f;
 	val_dir[8026*3 + 0] = -0.790912f;	val_dir[8026*3 + 1] = 0.604815f;	val_dir[8026*3 + 2] = 0.093048f;
 	val_dir[8027*3 + 0] = -0.770574f;	val_dir[8027*3 + 1] = 0.630470f;	val_dir[8027*3 + 2] = 0.093403f;
 	val_dir[8028*3 + 0] = -0.749269f;	val_dir[8028*3 + 1] = 0.655610f;	val_dir[8028*3 + 2] = 0.093659f;
 	val_dir[8029*3 + 0] = -0.727051f;	val_dir[8029*3 + 1] = 0.680144f;	val_dir[8029*3 + 2] = 0.093813f;
 	val_dir[8030*3 + 0] = -0.703985f;	val_dir[8030*3 + 1] = 0.703985f;	val_dir[8030*3 + 2] = 0.093865f;
 	val_dir[8031*3 + 0] = -0.680144f;	val_dir[8031*3 + 1] = 0.727051f;	val_dir[8031*3 + 2] = 0.093813f;
 	val_dir[8032*3 + 0] = -0.655610f;	val_dir[8032*3 + 1] = 0.749269f;	val_dir[8032*3 + 2] = 0.093659f;
 	val_dir[8033*3 + 0] = -0.630470f;	val_dir[8033*3 + 1] = 0.770574f;	val_dir[8033*3 + 2] = 0.093403f;
 	val_dir[8034*3 + 0] = -0.604815f;	val_dir[8034*3 + 1] = 0.790912f;	val_dir[8034*3 + 2] = 0.093048f;
 	val_dir[8035*3 + 0] = -0.578741f;	val_dir[8035*3 + 1] = 0.810237f;	val_dir[8035*3 + 2] = 0.092599f;
 	val_dir[8036*3 + 0] = -0.552345f;	val_dir[8036*3 + 1] = 0.828517f;	val_dir[8036*3 + 2] = 0.092057f;
 	val_dir[8037*3 + 0] = -0.525723f;	val_dir[8037*3 + 1] = 0.845728f;	val_dir[8037*3 + 2] = 0.091430f;
 	val_dir[8038*3 + 0] = -0.498970f;	val_dir[8038*3 + 1] = 0.861857f;	val_dir[8038*3 + 2] = 0.090722f;
 	val_dir[8039*3 + 0] = -0.472178f;	val_dir[8039*3 + 1] = 0.876903f;	val_dir[8039*3 + 2] = 0.089939f;
 	val_dir[8040*3 + 0] = -0.445435f;	val_dir[8040*3 + 1] = 0.890871f;	val_dir[8040*3 + 2] = 0.089087f;
 	val_dir[8041*3 + 0] = -0.418823f;	val_dir[8041*3 + 1] = 0.903777f;	val_dir[8041*3 + 2] = 0.088173f;
 	val_dir[8042*3 + 0] = -0.392419f;	val_dir[8042*3 + 1] = 0.915644f;	val_dir[8042*3 + 2] = 0.087204f;
 	val_dir[8043*3 + 0] = -0.366291f;	val_dir[8043*3 + 1] = 0.92650f;	val_dir[8043*3 + 2] = 0.086186f;
 	val_dir[8044*3 + 0] = -0.340503f;	val_dir[8044*3 + 1] = 0.936382f;	val_dir[8044*3 + 2] = 0.085126f;
 	val_dir[8045*3 + 0] = -0.315109f;	val_dir[8045*3 + 1] = 0.945328f;	val_dir[8045*3 + 2] = 0.084029f;
 	val_dir[8046*3 + 0] = -0.290159f;	val_dir[8046*3 + 1] = 0.953381f;	val_dir[8046*3 + 2] = 0.082903f;
 	val_dir[8047*3 + 0] = -0.265694f;	val_dir[8047*3 + 1] = 0.960585f;	val_dir[8047*3 + 2] = 0.081752f;
 	val_dir[8048*3 + 0] = -0.241747f;	val_dir[8048*3 + 1] = 0.966988f;	val_dir[8048*3 + 2] = 0.080582f;
 	val_dir[8049*3 + 0] = -0.218347f;	val_dir[8049*3 + 1] = 0.972636f;	val_dir[8049*3 + 2] = 0.079399f;
 	val_dir[8050*3 + 0] = -0.195515f;	val_dir[8050*3 + 1] = 0.977577f;	val_dir[8050*3 + 2] = 0.078206f;
 	val_dir[8051*3 + 0] = -0.173269f;	val_dir[8051*3 + 1] = 0.981859f;	val_dir[8051*3 + 2] = 0.077009f;
 	val_dir[8052*3 + 0] = -0.151620f;	val_dir[8052*3 + 1] = 0.985527f;	val_dir[8052*3 + 2] = 0.075810f;
 	val_dir[8053*3 + 0] = -0.130573f;	val_dir[8053*3 + 1] = 0.988627f;	val_dir[8053*3 + 2] = 0.074613f;
 	val_dir[8054*3 + 0] = -0.110133f;	val_dir[8054*3 + 1] = 0.991201f;	val_dir[8054*3 + 2] = 0.073422f;
 	val_dir[8055*3 + 0] = -0.090299f;	val_dir[8055*3 + 1] = 0.993291f;	val_dir[8055*3 + 2] = 0.072239f;
 	val_dir[8056*3 + 0] = -0.071067f;	val_dir[8056*3 + 1] = 0.994937f;	val_dir[8056*3 + 2] = 0.071067f;
 	val_dir[8057*3 + 0] = -0.052430f;	val_dir[8057*3 + 1] = 0.996175f;	val_dir[8057*3 + 2] = 0.069907f;
 	val_dir[8058*3 + 0] = -0.034381f;	val_dir[8058*3 + 1] = 0.997041f;	val_dir[8058*3 + 2] = 0.068761f;
 	val_dir[8059*3 + 0] = -0.016908f;	val_dir[8059*3 + 1] = 0.997567f;	val_dir[8059*3 + 2] = 0.067632f;
 	val_dir[8060*3 + 0] = 0.0f;	val_dir[8060*3 + 1] = 0.997785f;	val_dir[8060*3 + 2] = 0.066519f;
 	val_dir[8061*3 + 0] = 0.016382f;	val_dir[8061*3 + 1] = 0.999329f;	val_dir[8061*3 + 2] = 0.032765f;
 	val_dir[8062*3 + 0] = 0.032241f;	val_dir[8062*3 + 1] = 0.999480f;	val_dir[8062*3 + 2] = 0.0f;
 	val_dir[8063*3 + 0] = -0.999740f;	val_dir[8063*3 + 1] = -0.016125f;	val_dir[8063*3 + 2] = 0.016125f;
 	val_dir[8064*3 + 0] = -0.998793f;	val_dir[8064*3 + 1] = 0.0f;	val_dir[8064*3 + 2] = 0.049121f;
 	val_dir[8065*3 + 0] = -0.998614f;	val_dir[8065*3 + 1] = 0.016644f;	val_dir[8065*3 + 2] = 0.049931f;
 	val_dir[8066*3 + 0] = -0.998138f;	val_dir[8066*3 + 1] = 0.033835f;	val_dir[8066*3 + 2] = 0.050753f;
 	val_dir[8067*3 + 0] = -0.997335f;	val_dir[8067*3 + 1] = 0.051586f;	val_dir[8067*3 + 2] = 0.051586f;
 	val_dir[8068*3 + 0] = -0.996175f;	val_dir[8068*3 + 1] = 0.069907f;	val_dir[8068*3 + 2] = 0.052430f;
 	val_dir[8069*3 + 0] = -0.994623f;	val_dir[8069*3 + 1] = 0.088806f;	val_dir[8069*3 + 2] = 0.053283f;
 	val_dir[8070*3 + 0] = -0.992644f;	val_dir[8070*3 + 1] = 0.108288f;	val_dir[8070*3 + 2] = 0.054144f;
 	val_dir[8071*3 + 0] = -0.990201f;	val_dir[8071*3 + 1] = 0.128359f;	val_dir[8071*3 + 2] = 0.055011f;
 	val_dir[8072*3 + 0] = -0.987254f;	val_dir[8072*3 + 1] = 0.149019f;	val_dir[8072*3 + 2] = 0.055882f;
 	val_dir[8073*3 + 0] = -0.983762f;	val_dir[8073*3 + 1] = 0.170267f;	val_dir[8073*3 + 2] = 0.056756f;
 	val_dir[8074*3 + 0] = -0.979683f;	val_dir[8074*3 + 1] = 0.192095f;	val_dir[8074*3 + 2] = 0.057628f;
 	val_dir[8075*3 + 0] = -0.974972f;	val_dir[8075*3 + 1] = 0.214494f;	val_dir[8075*3 + 2] = 0.058498f;
 	val_dir[8076*3 + 0] = -0.969584f;	val_dir[8076*3 + 1] = 0.237449f;	val_dir[8076*3 + 2] = 0.059362f;
 	val_dir[8077*3 + 0] = -0.963475f;	val_dir[8077*3 + 1] = 0.260941f;	val_dir[8077*3 + 2] = 0.060217f;
 	val_dir[8078*3 + 0] = -0.956597f;	val_dir[8078*3 + 1] = 0.284944f;	val_dir[8078*3 + 2] = 0.061059f;
 	val_dir[8079*3 + 0] = -0.948908f;	val_dir[8079*3 + 1] = 0.309426f;	val_dir[8079*3 + 2] = 0.061885f;
 	val_dir[8080*3 + 0] = -0.940361f;	val_dir[8080*3 + 1] = 0.334351f;	val_dir[8080*3 + 2] = 0.062691f;
 	val_dir[8081*3 + 0] = -0.930917f;	val_dir[8081*3 + 1] = 0.359673f;	val_dir[8081*3 + 2] = 0.063472f;
 	val_dir[8082*3 + 0] = -0.920537f;	val_dir[8082*3 + 1] = 0.385341f;	val_dir[8082*3 + 2] = 0.064223f;
 	val_dir[8083*3 + 0] = -0.909185f;	val_dir[8083*3 + 1] = 0.411298f;	val_dir[8083*3 + 2] = 0.064942f;
 	val_dir[8084*3 + 0] = -0.896831f;	val_dir[8084*3 + 1] = 0.437479f;	val_dir[8084*3 + 2] = 0.065622f;
 	val_dir[8085*3 + 0] = -0.883452f;	val_dir[8085*3 + 1] = 0.463812f;	val_dir[8085*3 + 2] = 0.066259f;
 	val_dir[8086*3 + 0] = -0.869030f;	val_dir[8086*3 + 1] = 0.490222f;	val_dir[8086*3 + 2] = 0.066848f;
 	val_dir[8087*3 + 0] = -0.853556f;	val_dir[8087*3 + 1] = 0.516626f;	val_dir[8087*3 + 2] = 0.067386f;
 	val_dir[8088*3 + 0] = -0.837027f;	val_dir[8088*3 + 1] = 0.542936f;	val_dir[8088*3 + 2] = 0.067867f;
 	val_dir[8089*3 + 0] = -0.819453f;	val_dir[8089*3 + 1] = 0.569064f;	val_dir[8089*3 + 2] = 0.068288f;
 	val_dir[8090*3 + 0] = -0.800850f;	val_dir[8090*3 + 1] = 0.594917f;	val_dir[8090*3 + 2] = 0.068644f;
 	val_dir[8091*3 + 0] = -0.781248f;	val_dir[8091*3 + 1] = 0.620403f;	val_dir[8091*3 + 2] = 0.068934f;
 	val_dir[8092*3 + 0] = -0.760684f;	val_dir[8092*3 + 1] = 0.645429f;	val_dir[8092*3 + 2] = 0.069153f;
 	val_dir[8093*3 + 0] = -0.739205f;	val_dir[8093*3 + 1] = 0.669905f;	val_dir[8093*3 + 2] = 0.069301f;
 	val_dir[8094*3 + 0] = -0.716871f;	val_dir[8094*3 + 1] = 0.693746f;	val_dir[8094*3 + 2] = 0.069375f;
 	val_dir[8095*3 + 0] = -0.693746f;	val_dir[8095*3 + 1] = 0.716871f;	val_dir[8095*3 + 2] = 0.069375f;
 	val_dir[8096*3 + 0] = -0.669905f;	val_dir[8096*3 + 1] = 0.739205f;	val_dir[8096*3 + 2] = 0.069301f;
 	val_dir[8097*3 + 0] = -0.645429f;	val_dir[8097*3 + 1] = 0.760684f;	val_dir[8097*3 + 2] = 0.069153f;
 	val_dir[8098*3 + 0] = -0.620403f;	val_dir[8098*3 + 1] = 0.781248f;	val_dir[8098*3 + 2] = 0.068934f;
 	val_dir[8099*3 + 0] = -0.594917f;	val_dir[8099*3 + 1] = 0.800850f;	val_dir[8099*3 + 2] = 0.068644f;
 	val_dir[8100*3 + 0] = -0.569064f;	val_dir[8100*3 + 1] = 0.819453f;	val_dir[8100*3 + 2] = 0.068288f;
 	val_dir[8101*3 + 0] = -0.542936f;	val_dir[8101*3 + 1] = 0.837027f;	val_dir[8101*3 + 2] = 0.067867f;
 	val_dir[8102*3 + 0] = -0.516626f;	val_dir[8102*3 + 1] = 0.853556f;	val_dir[8102*3 + 2] = 0.067386f;
 	val_dir[8103*3 + 0] = -0.490222f;	val_dir[8103*3 + 1] = 0.869030f;	val_dir[8103*3 + 2] = 0.066848f;
 	val_dir[8104*3 + 0] = -0.463812f;	val_dir[8104*3 + 1] = 0.883452f;	val_dir[8104*3 + 2] = 0.066259f;
 	val_dir[8105*3 + 0] = -0.437479f;	val_dir[8105*3 + 1] = 0.896831f;	val_dir[8105*3 + 2] = 0.065622f;
 	val_dir[8106*3 + 0] = -0.411298f;	val_dir[8106*3 + 1] = 0.909185f;	val_dir[8106*3 + 2] = 0.064942f;
 	val_dir[8107*3 + 0] = -0.385341f;	val_dir[8107*3 + 1] = 0.920537f;	val_dir[8107*3 + 2] = 0.064223f;
 	val_dir[8108*3 + 0] = -0.359673f;	val_dir[8108*3 + 1] = 0.930917f;	val_dir[8108*3 + 2] = 0.063472f;
 	val_dir[8109*3 + 0] = -0.334351f;	val_dir[8109*3 + 1] = 0.940361f;	val_dir[8109*3 + 2] = 0.062691f;
 	val_dir[8110*3 + 0] = -0.309426f;	val_dir[8110*3 + 1] = 0.948908f;	val_dir[8110*3 + 2] = 0.061885f;
 	val_dir[8111*3 + 0] = -0.284944f;	val_dir[8111*3 + 1] = 0.956597f;	val_dir[8111*3 + 2] = 0.061059f;
 	val_dir[8112*3 + 0] = -0.260941f;	val_dir[8112*3 + 1] = 0.963475f;	val_dir[8112*3 + 2] = 0.060217f;
 	val_dir[8113*3 + 0] = -0.237449f;	val_dir[8113*3 + 1] = 0.969584f;	val_dir[8113*3 + 2] = 0.059362f;
 	val_dir[8114*3 + 0] = -0.214494f;	val_dir[8114*3 + 1] = 0.974972f;	val_dir[8114*3 + 2] = 0.058498f;
 	val_dir[8115*3 + 0] = -0.192095f;	val_dir[8115*3 + 1] = 0.979683f;	val_dir[8115*3 + 2] = 0.057628f;
 	val_dir[8116*3 + 0] = -0.170267f;	val_dir[8116*3 + 1] = 0.983762f;	val_dir[8116*3 + 2] = 0.056756f;
 	val_dir[8117*3 + 0] = -0.149019f;	val_dir[8117*3 + 1] = 0.987254f;	val_dir[8117*3 + 2] = 0.055882f;
 	val_dir[8118*3 + 0] = -0.128359f;	val_dir[8118*3 + 1] = 0.990201f;	val_dir[8118*3 + 2] = 0.055011f;
 	val_dir[8119*3 + 0] = -0.108288f;	val_dir[8119*3 + 1] = 0.992644f;	val_dir[8119*3 + 2] = 0.054144f;
 	val_dir[8120*3 + 0] = -0.088806f;	val_dir[8120*3 + 1] = 0.994623f;	val_dir[8120*3 + 2] = 0.053283f;
 	val_dir[8121*3 + 0] = -0.069907f;	val_dir[8121*3 + 1] = 0.996175f;	val_dir[8121*3 + 2] = 0.052430f;
 	val_dir[8122*3 + 0] = -0.051586f;	val_dir[8122*3 + 1] = 0.997335f;	val_dir[8122*3 + 2] = 0.051586f;
 	val_dir[8123*3 + 0] = -0.033835f;	val_dir[8123*3 + 1] = 0.998138f;	val_dir[8123*3 + 2] = 0.050753f;
 	val_dir[8124*3 + 0] = -0.016644f;	val_dir[8124*3 + 1] = 0.998614f;	val_dir[8124*3 + 2] = 0.049931f;
 	val_dir[8125*3 + 0] = 0.0f;	val_dir[8125*3 + 1] = 0.998793f;	val_dir[8125*3 + 2] = 0.049121f;
 	val_dir[8126*3 + 0] = 0.016125f;	val_dir[8126*3 + 1] = 0.999740f;	val_dir[8126*3 + 2] = 0.016125f;
 	val_dir[8127*3 + 0] = -0.999874f;	val_dir[8127*3 + 1] = -0.015871f;	val_dir[8127*3 + 2] = 0.0f;
 	val_dir[8128*3 + 0] = -0.999480f;	val_dir[8128*3 + 1] = 0.0f;	val_dir[8128*3 + 2] = 0.032241f;
 	val_dir[8129*3 + 0] = -0.999329f;	val_dir[8129*3 + 1] = 0.016382f;	val_dir[8129*3 + 2] = 0.032765f;
 	val_dir[8130*3 + 0] = -0.998891f;	val_dir[8130*3 + 1] = 0.033296f;	val_dir[8130*3 + 2] = 0.033296f;
 	val_dir[8131*3 + 0] = -0.998138f;	val_dir[8131*3 + 1] = 0.050753f;	val_dir[8131*3 + 2] = 0.033835f;
 	val_dir[8132*3 + 0] = -0.997041f;	val_dir[8132*3 + 1] = 0.068761f;	val_dir[8132*3 + 2] = 0.034381f;
 	val_dir[8133*3 + 0] = -0.995567f;	val_dir[8133*3 + 1] = 0.087330f;	val_dir[8133*3 + 2] = 0.034932f;
 	val_dir[8134*3 + 0] = -0.993683f;	val_dir[8134*3 + 1] = 0.106466f;	val_dir[8134*3 + 2] = 0.035489f;
 	val_dir[8135*3 + 0] = -0.991353f;	val_dir[8135*3 + 1] = 0.126172f;	val_dir[8135*3 + 2] = 0.036049f;
 	val_dir[8136*3 + 0] = -0.988540f;	val_dir[8136*3 + 1] = 0.146450f;	val_dir[8136*3 + 2] = 0.036613f;
 	val_dir[8137*3 + 0] = -0.985205f;	val_dir[8137*3 + 1] = 0.167299f;	val_dir[8137*3 + 2] = 0.037178f;
 	val_dir[8138*3 + 0] = -0.981307f;	val_dir[8138*3 + 1] = 0.188713f;	val_dir[8138*3 + 2] = 0.037743f;
 	val_dir[8139*3 + 0] = -0.976804f;	val_dir[8139*3 + 1] = 0.210683f;	val_dir[8139*3 + 2] = 0.038306f;
 	val_dir[8140*3 + 0] = -0.971653f;	val_dir[8140*3 + 1] = 0.233197f;	val_dir[8140*3 + 2] = 0.038866f;
 	val_dir[8141*3 + 0] = -0.965810f;	val_dir[8141*3 + 1] = 0.256235f;	val_dir[8141*3 + 2] = 0.039421f;
 	val_dir[8142*3 + 0] = -0.959233f;	val_dir[8142*3 + 1] = 0.279776f;	val_dir[8142*3 + 2] = 0.039968f;
 	val_dir[8143*3 + 0] = -0.951877f;	val_dir[8143*3 + 1] = 0.303791f;	val_dir[8143*3 + 2] = 0.040505f;
 	val_dir[8144*3 + 0] = -0.943701f;	val_dir[8144*3 + 1] = 0.328244f;	val_dir[8144*3 + 2] = 0.041030f;
 	val_dir[8145*3 + 0] = -0.934665f;	val_dir[8145*3 + 1] = 0.353096f;	val_dir[8145*3 + 2] = 0.041541f;
 	val_dir[8146*3 + 0] = -0.924729f;	val_dir[8146*3 + 1] = 0.378298f;	val_dir[8146*3 + 2] = 0.042033f;
 	val_dir[8147*3 + 0] = -0.913860f;	val_dir[8147*3 + 1] = 0.403799f;	val_dir[8147*3 + 2] = 0.042505f;
 	val_dir[8148*3 + 0] = -0.902027f;	val_dir[8148*3 + 1] = 0.429537f;	val_dir[8148*3 + 2] = 0.042954f;
 	val_dir[8149*3 + 0] = -0.889206f;	val_dir[8149*3 + 1] = 0.455447f;	val_dir[8149*3 + 2] = 0.043376f;
 	val_dir[8150*3 + 0] = -0.875376f;	val_dir[8150*3 + 1] = 0.481457f;	val_dir[8150*3 + 2] = 0.043769f;
 	val_dir[8151*3 + 0] = -0.860527f;	val_dir[8151*3 + 1] = 0.507490f;	val_dir[8151*3 + 2] = 0.044130f;
 	val_dir[8152*3 + 0] = -0.844653f;	val_dir[8152*3 + 1] = 0.533465f;	val_dir[8152*3 + 2] = 0.044455f;
 	val_dir[8153*3 + 0] = -0.827759f;	val_dir[8153*3 + 1] = 0.559297f;	val_dir[8153*3 + 2] = 0.044744f;
 	val_dir[8154*3 + 0] = -0.809858f;	val_dir[8154*3 + 1] = 0.584898f;	val_dir[8154*3 + 2] = 0.044992f;
 	val_dir[8155*3 + 0] = -0.790973f;	val_dir[8155*3 + 1] = 0.610179f;	val_dir[8155*3 + 2] = 0.045198f;
 	val_dir[8156*3 + 0] = -0.771136f;	val_dir[8156*3 + 1] = 0.635053f;	val_dir[8156*3 + 2] = 0.045361f;
 	val_dir[8157*3 + 0] = -0.750388f;	val_dir[8157*3 + 1] = 0.659432f;	val_dir[8157*3 + 2] = 0.045478f;
 	val_dir[8158*3 + 0] = -0.728780f;	val_dir[8158*3 + 1] = 0.683231f;	val_dir[8158*3 + 2] = 0.045549f;
 	val_dir[8159*3 + 0] = -0.706372f;	val_dir[8159*3 + 1] = 0.706372f;	val_dir[8159*3 + 2] = 0.045572f;
 	val_dir[8160*3 + 0] = -0.683231f;	val_dir[8160*3 + 1] = 0.728780f;	val_dir[8160*3 + 2] = 0.045549f;
 	val_dir[8161*3 + 0] = -0.659432f;	val_dir[8161*3 + 1] = 0.750388f;	val_dir[8161*3 + 2] = 0.045478f;
 	val_dir[8162*3 + 0] = -0.635053f;	val_dir[8162*3 + 1] = 0.771136f;	val_dir[8162*3 + 2] = 0.045361f;
 	val_dir[8163*3 + 0] = -0.610179f;	val_dir[8163*3 + 1] = 0.790973f;	val_dir[8163*3 + 2] = 0.045198f;
 	val_dir[8164*3 + 0] = -0.584898f;	val_dir[8164*3 + 1] = 0.809858f;	val_dir[8164*3 + 2] = 0.044992f;
 	val_dir[8165*3 + 0] = -0.559297f;	val_dir[8165*3 + 1] = 0.827759f;	val_dir[8165*3 + 2] = 0.044744f;
 	val_dir[8166*3 + 0] = -0.533465f;	val_dir[8166*3 + 1] = 0.844653f;	val_dir[8166*3 + 2] = 0.044455f;
 	val_dir[8167*3 + 0] = -0.507490f;	val_dir[8167*3 + 1] = 0.860527f;	val_dir[8167*3 + 2] = 0.044130f;
 	val_dir[8168*3 + 0] = -0.481457f;	val_dir[8168*3 + 1] = 0.875376f;	val_dir[8168*3 + 2] = 0.043769f;
 	val_dir[8169*3 + 0] = -0.455447f;	val_dir[8169*3 + 1] = 0.889206f;	val_dir[8169*3 + 2] = 0.043376f;
 	val_dir[8170*3 + 0] = -0.429537f;	val_dir[8170*3 + 1] = 0.902027f;	val_dir[8170*3 + 2] = 0.042954f;
 	val_dir[8171*3 + 0] = -0.403799f;	val_dir[8171*3 + 1] = 0.913860f;	val_dir[8171*3 + 2] = 0.042505f;
 	val_dir[8172*3 + 0] = -0.378298f;	val_dir[8172*3 + 1] = 0.924729f;	val_dir[8172*3 + 2] = 0.042033f;
 	val_dir[8173*3 + 0] = -0.353096f;	val_dir[8173*3 + 1] = 0.934665f;	val_dir[8173*3 + 2] = 0.041541f;
 	val_dir[8174*3 + 0] = -0.328244f;	val_dir[8174*3 + 1] = 0.943701f;	val_dir[8174*3 + 2] = 0.041030f;
 	val_dir[8175*3 + 0] = -0.303791f;	val_dir[8175*3 + 1] = 0.951877f;	val_dir[8175*3 + 2] = 0.040505f;
 	val_dir[8176*3 + 0] = -0.279776f;	val_dir[8176*3 + 1] = 0.959233f;	val_dir[8176*3 + 2] = 0.039968f;
 	val_dir[8177*3 + 0] = -0.256235f;	val_dir[8177*3 + 1] = 0.965810f;	val_dir[8177*3 + 2] = 0.039421f;
 	val_dir[8178*3 + 0] = -0.233197f;	val_dir[8178*3 + 1] = 0.971653f;	val_dir[8178*3 + 2] = 0.038866f;
 	val_dir[8179*3 + 0] = -0.210683f;	val_dir[8179*3 + 1] = 0.976804f;	val_dir[8179*3 + 2] = 0.038306f;
 	val_dir[8180*3 + 0] = -0.188713f;	val_dir[8180*3 + 1] = 0.981307f;	val_dir[8180*3 + 2] = 0.037743f;
 	val_dir[8181*3 + 0] = -0.167299f;	val_dir[8181*3 + 1] = 0.985205f;	val_dir[8181*3 + 2] = 0.037178f;
 	val_dir[8182*3 + 0] = -0.146450f;	val_dir[8182*3 + 1] = 0.988540f;	val_dir[8182*3 + 2] = 0.036613f;
 	val_dir[8183*3 + 0] = -0.126172f;	val_dir[8183*3 + 1] = 0.991353f;	val_dir[8183*3 + 2] = 0.036049f;
 	val_dir[8184*3 + 0] = -0.106466f;	val_dir[8184*3 + 1] = 0.993683f;	val_dir[8184*3 + 2] = 0.035489f;
 	val_dir[8185*3 + 0] = -0.087330f;	val_dir[8185*3 + 1] = 0.995567f;	val_dir[8185*3 + 2] = 0.034932f;
 	val_dir[8186*3 + 0] = -0.068761f;	val_dir[8186*3 + 1] = 0.997041f;	val_dir[8186*3 + 2] = 0.034381f;
 	val_dir[8187*3 + 0] = -0.050753f;	val_dir[8187*3 + 1] = 0.998138f;	val_dir[8187*3 + 2] = 0.033835f;
 	val_dir[8188*3 + 0] = -0.033296f;	val_dir[8188*3 + 1] = 0.998891f;	val_dir[8188*3 + 2] = 0.033296f;
 	val_dir[8189*3 + 0] = -0.016382f;	val_dir[8189*3 + 1] = 0.999329f;	val_dir[8189*3 + 2] = 0.032765f;
 	val_dir[8190*3 + 0] = 0.0f;	val_dir[8190*3 + 1] = 0.999480f;	val_dir[8190*3 + 2] = 0.032241f;
 	val_dir[8191*3 + 0] = 0.015871f;	val_dir[8191*3 + 1] = 0.999874f;	val_dir[8191*3 + 2] = 0.0f;
 	val_dir[8192*3 + 0] = -0.999874f;	val_dir[8192*3 + 1] = 0.0f;	val_dir[8192*3 + 2] = 0.015871f;
 	val_dir[8193*3 + 0] = -0.999740f;	val_dir[8193*3 + 1] = 0.016125f;	val_dir[8193*3 + 2] = 0.016125f;
 	val_dir[8194*3 + 0] = -0.999329f;	val_dir[8194*3 + 1] = 0.032765f;	val_dir[8194*3 + 2] = 0.016382f;
 	val_dir[8195*3 + 0] = -0.998614f;	val_dir[8195*3 + 1] = 0.049931f;	val_dir[8195*3 + 2] = 0.016644f;
 	val_dir[8196*3 + 0] = -0.997567f;	val_dir[8196*3 + 1] = 0.067632f;	val_dir[8196*3 + 2] = 0.016908f;
 	val_dir[8197*3 + 0] = -0.996158f;	val_dir[8197*3 + 1] = 0.085876f;	val_dir[8197*3 + 2] = 0.017175f;
 	val_dir[8198*3 + 0] = -0.994354f;	val_dir[8198*3 + 1] = 0.104669f;	val_dir[8198*3 + 2] = 0.017445f;
 	val_dir[8199*3 + 0] = -0.992122f;	val_dir[8199*3 + 1] = 0.124015f;	val_dir[8199*3 + 2] = 0.017716f;
 	val_dir[8200*3 + 0] = -0.989426f;	val_dir[8200*3 + 1] = 0.143917f;	val_dir[8200*3 + 2] = 0.017990f;
 	val_dir[8201*3 + 0] = -0.986229f;	val_dir[8201*3 + 1] = 0.164372f;	val_dir[8201*3 + 2] = 0.018264f;
 	val_dir[8202*3 + 0] = -0.982493f;	val_dir[8202*3 + 1] = 0.185376f;	val_dir[8202*3 + 2] = 0.018538f;
 	val_dir[8203*3 + 0] = -0.978177f;	val_dir[8203*3 + 1] = 0.206922f;	val_dir[8203*3 + 2] = 0.018811f;
 	val_dir[8204*3 + 0] = -0.973240f;	val_dir[8204*3 + 1] = 0.228998f;	val_dir[8204*3 + 2] = 0.019083f;
 	val_dir[8205*3 + 0] = -0.967641f;	val_dir[8205*3 + 1] = 0.251587f;	val_dir[8205*3 + 2] = 0.019353f;
 	val_dir[8206*3 + 0] = -0.961339f;	val_dir[8206*3 + 1] = 0.274668f;	val_dir[8206*3 + 2] = 0.019619f;
 	val_dir[8207*3 + 0] = -0.954291f;	val_dir[8207*3 + 1] = 0.298216f;	val_dir[8207*3 + 2] = 0.019881f;
 	val_dir[8208*3 + 0] = -0.946458f;	val_dir[8208*3 + 1] = 0.322198f;	val_dir[8208*3 + 2] = 0.020137f;
 	val_dir[8209*3 + 0] = -0.93780f;	val_dir[8209*3 + 1] = 0.346578f;	val_dir[8209*3 + 2] = 0.020387f;
 	val_dir[8210*3 + 0] = -0.928279f;	val_dir[8210*3 + 1] = 0.371312f;	val_dir[8210*3 + 2] = 0.020628f;
 	val_dir[8211*3 + 0] = -0.917863f;	val_dir[8211*3 + 1] = 0.396350f;	val_dir[8211*3 + 2] = 0.020861f;
 	val_dir[8212*3 + 0] = -0.906520f;	val_dir[8212*3 + 1] = 0.421637f;	val_dir[8212*3 + 2] = 0.021082f;
 	val_dir[8213*3 + 0] = -0.894224f;	val_dir[8213*3 + 1] = 0.447112f;	val_dir[8213*3 + 2] = 0.021291f;
 	val_dir[8214*3 + 0] = -0.880957f;	val_dir[8214*3 + 1] = 0.472709f;	val_dir[8214*3 + 2] = 0.021487f;
 	val_dir[8215*3 + 0] = -0.866703f;	val_dir[8215*3 + 1] = 0.498354f;	val_dir[8215*3 + 2] = 0.021668f;
 	val_dir[8216*3 + 0] = -0.851455f;	val_dir[8216*3 + 1] = 0.523973f;	val_dir[8216*3 + 2] = 0.021832f;
 	val_dir[8217*3 + 0] = -0.835215f;	val_dir[8217*3 + 1] = 0.549484f;	val_dir[8217*3 + 2] = 0.021979f;
 	val_dir[8218*3 + 0] = -0.817992f;	val_dir[8218*3 + 1] = 0.574805f;	val_dir[8218*3 + 2] = 0.022108f;
 	val_dir[8219*3 + 0] = -0.799803f;	val_dir[8219*3 + 1] = 0.599852f;	val_dir[8219*3 + 2] = 0.022217f;
 	val_dir[8220*3 + 0] = -0.780675f;	val_dir[8220*3 + 1] = 0.624540f;	val_dir[8220*3 + 2] = 0.022305f;
 	val_dir[8221*3 + 0] = -0.760644f;	val_dir[8221*3 + 1] = 0.648784f;	val_dir[8221*3 + 2] = 0.022372f;
 	val_dir[8222*3 + 0] = -0.739754f;	val_dir[8222*3 + 1] = 0.672504f;	val_dir[8222*3 + 2] = 0.022417f;
 	val_dir[8223*3 + 0] = -0.718059f;	val_dir[8223*3 + 1] = 0.695620f;	val_dir[8223*3 + 2] = 0.022439f;
 	val_dir[8224*3 + 0] = -0.695620f;	val_dir[8224*3 + 1] = 0.718059f;	val_dir[8224*3 + 2] = 0.022439f;
 	val_dir[8225*3 + 0] = -0.672504f;	val_dir[8225*3 + 1] = 0.739754f;	val_dir[8225*3 + 2] = 0.022417f;
 	val_dir[8226*3 + 0] = -0.648784f;	val_dir[8226*3 + 1] = 0.760644f;	val_dir[8226*3 + 2] = 0.022372f;
 	val_dir[8227*3 + 0] = -0.624540f;	val_dir[8227*3 + 1] = 0.780675f;	val_dir[8227*3 + 2] = 0.022305f;
 	val_dir[8228*3 + 0] = -0.599852f;	val_dir[8228*3 + 1] = 0.799803f;	val_dir[8228*3 + 2] = 0.022217f;
 	val_dir[8229*3 + 0] = -0.574805f;	val_dir[8229*3 + 1] = 0.817992f;	val_dir[8229*3 + 2] = 0.022108f;
 	val_dir[8230*3 + 0] = -0.549484f;	val_dir[8230*3 + 1] = 0.835215f;	val_dir[8230*3 + 2] = 0.021979f;
 	val_dir[8231*3 + 0] = -0.523973f;	val_dir[8231*3 + 1] = 0.851455f;	val_dir[8231*3 + 2] = 0.021832f;
 	val_dir[8232*3 + 0] = -0.498354f;	val_dir[8232*3 + 1] = 0.866703f;	val_dir[8232*3 + 2] = 0.021668f;
 	val_dir[8233*3 + 0] = -0.472709f;	val_dir[8233*3 + 1] = 0.880957f;	val_dir[8233*3 + 2] = 0.021487f;
 	val_dir[8234*3 + 0] = -0.447112f;	val_dir[8234*3 + 1] = 0.894224f;	val_dir[8234*3 + 2] = 0.021291f;
 	val_dir[8235*3 + 0] = -0.421637f;	val_dir[8235*3 + 1] = 0.906520f;	val_dir[8235*3 + 2] = 0.021082f;
 	val_dir[8236*3 + 0] = -0.396350f;	val_dir[8236*3 + 1] = 0.917863f;	val_dir[8236*3 + 2] = 0.020861f;
 	val_dir[8237*3 + 0] = -0.371312f;	val_dir[8237*3 + 1] = 0.928279f;	val_dir[8237*3 + 2] = 0.020628f;
 	val_dir[8238*3 + 0] = -0.346578f;	val_dir[8238*3 + 1] = 0.93780f;	val_dir[8238*3 + 2] = 0.020387f;
 	val_dir[8239*3 + 0] = -0.322198f;	val_dir[8239*3 + 1] = 0.946458f;	val_dir[8239*3 + 2] = 0.020137f;
 	val_dir[8240*3 + 0] = -0.298216f;	val_dir[8240*3 + 1] = 0.954291f;	val_dir[8240*3 + 2] = 0.019881f;
 	val_dir[8241*3 + 0] = -0.274668f;	val_dir[8241*3 + 1] = 0.961339f;	val_dir[8241*3 + 2] = 0.019619f;
 	val_dir[8242*3 + 0] = -0.251587f;	val_dir[8242*3 + 1] = 0.967641f;	val_dir[8242*3 + 2] = 0.019353f;
 	val_dir[8243*3 + 0] = -0.228998f;	val_dir[8243*3 + 1] = 0.973240f;	val_dir[8243*3 + 2] = 0.019083f;
 	val_dir[8244*3 + 0] = -0.206922f;	val_dir[8244*3 + 1] = 0.978177f;	val_dir[8244*3 + 2] = 0.018811f;
 	val_dir[8245*3 + 0] = -0.185376f;	val_dir[8245*3 + 1] = 0.982493f;	val_dir[8245*3 + 2] = 0.018538f;
 	val_dir[8246*3 + 0] = -0.164372f;	val_dir[8246*3 + 1] = 0.986229f;	val_dir[8246*3 + 2] = 0.018264f;
 	val_dir[8247*3 + 0] = -0.143917f;	val_dir[8247*3 + 1] = 0.989426f;	val_dir[8247*3 + 2] = 0.017990f;
 	val_dir[8248*3 + 0] = -0.124015f;	val_dir[8248*3 + 1] = 0.992122f;	val_dir[8248*3 + 2] = 0.017716f;
 	val_dir[8249*3 + 0] = -0.104669f;	val_dir[8249*3 + 1] = 0.994354f;	val_dir[8249*3 + 2] = 0.017445f;
 	val_dir[8250*3 + 0] = -0.085876f;	val_dir[8250*3 + 1] = 0.996158f;	val_dir[8250*3 + 2] = 0.017175f;
 	val_dir[8251*3 + 0] = -0.067632f;	val_dir[8251*3 + 1] = 0.997567f;	val_dir[8251*3 + 2] = 0.016908f;
 	val_dir[8252*3 + 0] = -0.049931f;	val_dir[8252*3 + 1] = 0.998614f;	val_dir[8252*3 + 2] = 0.016644f;
 	val_dir[8253*3 + 0] = -0.032765f;	val_dir[8253*3 + 1] = 0.999329f;	val_dir[8253*3 + 2] = 0.016382f;
 	val_dir[8254*3 + 0] = -0.016125f;	val_dir[8254*3 + 1] = 0.999740f;	val_dir[8254*3 + 2] = 0.016125f;
 	val_dir[8255*3 + 0] = 0.0f;	val_dir[8255*3 + 1] = 0.999874f;	val_dir[8255*3 + 2] = 0.015871f;
 	val_dir[8256*3 + 0] = -1.0f;	val_dir[8256*3 + 1] = 0.0f;	val_dir[8256*3 + 2] = 0.0f;
 	val_dir[8257*3 + 0] = -0.999874f;	val_dir[8257*3 + 1] = 0.015871f;	val_dir[8257*3 + 2] = 0.0f;
 	val_dir[8258*3 + 0] = -0.999480f;	val_dir[8258*3 + 1] = 0.032241f;	val_dir[8258*3 + 2] = 0.0f;
 	val_dir[8259*3 + 0] = -0.998793f;	val_dir[8259*3 + 1] = 0.049121f;	val_dir[8259*3 + 2] = 0.0f;
 	val_dir[8260*3 + 0] = -0.997785f;	val_dir[8260*3 + 1] = 0.066519f;	val_dir[8260*3 + 2] = 0.0f;
 	val_dir[8261*3 + 0] = -0.996428f;	val_dir[8261*3 + 1] = 0.084443f;	val_dir[8261*3 + 2] = 0.0f;
 	val_dir[8262*3 + 0] = -0.994692f;	val_dir[8262*3 + 1] = 0.102899f;	val_dir[8262*3 + 2] = 0.0f;
 	val_dir[8263*3 + 0] = -0.992543f;	val_dir[8263*3 + 1] = 0.121891f;	val_dir[8263*3 + 2] = 0.0f;
 	val_dir[8264*3 + 0] = -0.989949f;	val_dir[8264*3 + 1] = 0.141421f;	val_dir[8264*3 + 2] = 0.0f;
 	val_dir[8265*3 + 0] = -0.986875f;	val_dir[8265*3 + 1] = 0.161489f;	val_dir[8265*3 + 2] = 0.0f;
 	val_dir[8266*3 + 0] = -0.983282f;	val_dir[8266*3 + 1] = 0.182089f;	val_dir[8266*3 + 2] = 0.0f;
 	val_dir[8267*3 + 0] = -0.979134f;	val_dir[8267*3 + 1] = 0.203216f;	val_dir[8267*3 + 2] = 0.0f;
 	val_dir[8268*3 + 0] = -0.974391f;	val_dir[8268*3 + 1] = 0.224860f;	val_dir[8268*3 + 2] = 0.0f;
 	val_dir[8269*3 + 0] = -0.969015f;	val_dir[8269*3 + 1] = 0.247004f;	val_dir[8269*3 + 2] = 0.0f;
 	val_dir[8270*3 + 0] = -0.962964f;	val_dir[8270*3 + 1] = 0.269630f;	val_dir[8270*3 + 2] = 0.0f;
 	val_dir[8271*3 + 0] = -0.95620f;	val_dir[8271*3 + 1] = 0.292714f;	val_dir[8271*3 + 2] = 0.0f;
 	val_dir[8272*3 + 0] = -0.948683f;	val_dir[8272*3 + 1] = 0.316228f;	val_dir[8272*3 + 2] = 0.0f;
 	val_dir[8273*3 + 0] = -0.940376f;	val_dir[8273*3 + 1] = 0.340136f;	val_dir[8273*3 + 2] = 0.0f;
 	val_dir[8274*3 + 0] = -0.931243f;	val_dir[8274*3 + 1] = 0.364399f;	val_dir[8274*3 + 2] = 0.0f;
 	val_dir[8275*3 + 0] = -0.921250f;	val_dir[8275*3 + 1] = 0.388972f;	val_dir[8275*3 + 2] = 0.0f;
 	val_dir[8276*3 + 0] = -0.910366f;	val_dir[8276*3 + 1] = 0.413803f;	val_dir[8276*3 + 2] = 0.0f;
 	val_dir[8277*3 + 0] = -0.898567f;	val_dir[8277*3 + 1] = 0.438835f;	val_dir[8277*3 + 2] = 0.0f;
 	val_dir[8278*3 + 0] = -0.885832f;	val_dir[8278*3 + 1] = 0.464007f;	val_dir[8278*3 + 2] = 0.0f;
 	val_dir[8279*3 + 0] = -0.872143f;	val_dir[8279*3 + 1] = 0.489251f;	val_dir[8279*3 + 2] = 0.0f;
 	val_dir[8280*3 + 0] = -0.857493f;	val_dir[8280*3 + 1] = 0.514496f;	val_dir[8280*3 + 2] = 0.0f;
 	val_dir[8281*3 + 0] = -0.841879f;	val_dir[8281*3 + 1] = 0.539666f;	val_dir[8281*3 + 2] = 0.0f;
 	val_dir[8282*3 + 0] = -0.825307f;	val_dir[8282*3 + 1] = 0.564684f;	val_dir[8282*3 + 2] = 0.0f;
 	val_dir[8283*3 + 0] = -0.807791f;	val_dir[8283*3 + 1] = 0.589469f;	val_dir[8283*3 + 2] = 0.0f;
 	val_dir[8284*3 + 0] = -0.789352f;	val_dir[8284*3 + 1] = 0.613941f;	val_dir[8284*3 + 2] = 0.0f;
 	val_dir[8285*3 + 0] = -0.770022f;	val_dir[8285*3 + 1] = 0.638018f;	val_dir[8285*3 + 2] = 0.0f;
 	val_dir[8286*3 + 0] = -0.749838f;	val_dir[8286*3 + 1] = 0.661622f;	val_dir[8286*3 + 2] = 0.0f;
 	val_dir[8287*3 + 0] = -0.728848f;	val_dir[8287*3 + 1] = 0.684675f;	val_dir[8287*3 + 2] = 0.0f;
 	val_dir[8288*3 + 0] = -0.707107f;	val_dir[8288*3 + 1] = 0.707107f;	val_dir[8288*3 + 2] = 0.0f;
 	val_dir[8289*3 + 0] = -0.684675f;	val_dir[8289*3 + 1] = 0.728848f;	val_dir[8289*3 + 2] = 0.0f;
 	val_dir[8290*3 + 0] = -0.661622f;	val_dir[8290*3 + 1] = 0.749838f;	val_dir[8290*3 + 2] = 0.0f;
 	val_dir[8291*3 + 0] = -0.638018f;	val_dir[8291*3 + 1] = 0.770022f;	val_dir[8291*3 + 2] = 0.0f;
 	val_dir[8292*3 + 0] = -0.613941f;	val_dir[8292*3 + 1] = 0.789352f;	val_dir[8292*3 + 2] = 0.0f;
 	val_dir[8293*3 + 0] = -0.589469f;	val_dir[8293*3 + 1] = 0.807791f;	val_dir[8293*3 + 2] = 0.0f;
 	val_dir[8294*3 + 0] = -0.564684f;	val_dir[8294*3 + 1] = 0.825307f;	val_dir[8294*3 + 2] = 0.0f;
 	val_dir[8295*3 + 0] = -0.539666f;	val_dir[8295*3 + 1] = 0.841879f;	val_dir[8295*3 + 2] = 0.0f;
 	val_dir[8296*3 + 0] = -0.514496f;	val_dir[8296*3 + 1] = 0.857493f;	val_dir[8296*3 + 2] = 0.0f;
 	val_dir[8297*3 + 0] = -0.489251f;	val_dir[8297*3 + 1] = 0.872143f;	val_dir[8297*3 + 2] = 0.0f;
 	val_dir[8298*3 + 0] = -0.464007f;	val_dir[8298*3 + 1] = 0.885832f;	val_dir[8298*3 + 2] = 0.0f;
 	val_dir[8299*3 + 0] = -0.438835f;	val_dir[8299*3 + 1] = 0.898567f;	val_dir[8299*3 + 2] = 0.0f;
 	val_dir[8300*3 + 0] = -0.413803f;	val_dir[8300*3 + 1] = 0.910366f;	val_dir[8300*3 + 2] = 0.0f;
 	val_dir[8301*3 + 0] = -0.388972f;	val_dir[8301*3 + 1] = 0.921250f;	val_dir[8301*3 + 2] = 0.0f;
 	val_dir[8302*3 + 0] = -0.364399f;	val_dir[8302*3 + 1] = 0.931243f;	val_dir[8302*3 + 2] = 0.0f;
 	val_dir[8303*3 + 0] = -0.340136f;	val_dir[8303*3 + 1] = 0.940376f;	val_dir[8303*3 + 2] = 0.0f;
 	val_dir[8304*3 + 0] = -0.316228f;	val_dir[8304*3 + 1] = 0.948683f;	val_dir[8304*3 + 2] = 0.0f;
 	val_dir[8305*3 + 0] = -0.292714f;	val_dir[8305*3 + 1] = 0.95620f;	val_dir[8305*3 + 2] = 0.0f;
 	val_dir[8306*3 + 0] = -0.269630f;	val_dir[8306*3 + 1] = 0.962964f;	val_dir[8306*3 + 2] = 0.0f;
 	val_dir[8307*3 + 0] = -0.247004f;	val_dir[8307*3 + 1] = 0.969015f;	val_dir[8307*3 + 2] = 0.0f;
 	val_dir[8308*3 + 0] = -0.224860f;	val_dir[8308*3 + 1] = 0.974391f;	val_dir[8308*3 + 2] = 0.0f;
 	val_dir[8309*3 + 0] = -0.203216f;	val_dir[8309*3 + 1] = 0.979134f;	val_dir[8309*3 + 2] = 0.0f;
 	val_dir[8310*3 + 0] = -0.182089f;	val_dir[8310*3 + 1] = 0.983282f;	val_dir[8310*3 + 2] = 0.0f;
 	val_dir[8311*3 + 0] = -0.161489f;	val_dir[8311*3 + 1] = 0.986875f;	val_dir[8311*3 + 2] = 0.0f;
 	val_dir[8312*3 + 0] = -0.141421f;	val_dir[8312*3 + 1] = 0.989949f;	val_dir[8312*3 + 2] = 0.0f;
 	val_dir[8313*3 + 0] = -0.121891f;	val_dir[8313*3 + 1] = 0.992543f;	val_dir[8313*3 + 2] = 0.0f;
 	val_dir[8314*3 + 0] = -0.102899f;	val_dir[8314*3 + 1] = 0.994692f;	val_dir[8314*3 + 2] = 0.0f;
 	val_dir[8315*3 + 0] = -0.084443f;	val_dir[8315*3 + 1] = 0.996428f;	val_dir[8315*3 + 2] = 0.0f;
 	val_dir[8316*3 + 0] = -0.066519f;	val_dir[8316*3 + 1] = 0.997785f;	val_dir[8316*3 + 2] = 0.0f;
 	val_dir[8317*3 + 0] = -0.049121f;	val_dir[8317*3 + 1] = 0.998793f;	val_dir[8317*3 + 2] = 0.0f;
 	val_dir[8318*3 + 0] = -0.032241f;	val_dir[8318*3 + 1] = 0.999480f;	val_dir[8318*3 + 2] = 0.0f;
 	val_dir[8319*3 + 0] = -0.015871f;	val_dir[8319*3 + 1] = 0.999874f;	val_dir[8319*3 + 2] = 0.0f;
 	val_dir[8320*3 + 0] = 0.0f;	val_dir[8320*3 + 1] = 1.0f;	val_dir[8320*3 + 2] = 0.0f;
 	val_dir[8321*3 + 0] = 0.0f;	val_dir[8321*3 + 1] = -1.0f;	val_dir[8321*3 + 2] = 0.0f;
 	val_dir[8322*3 + 0] = 0.015871f;	val_dir[8322*3 + 1] = -0.999874f;	val_dir[8322*3 + 2] = 0.0f;
 	val_dir[8323*3 + 0] = 0.032241f;	val_dir[8323*3 + 1] = -0.999480f;	val_dir[8323*3 + 2] = 0.0f;
 	val_dir[8324*3 + 0] = 0.049121f;	val_dir[8324*3 + 1] = -0.998793f;	val_dir[8324*3 + 2] = 0.0f;
 	val_dir[8325*3 + 0] = 0.066519f;	val_dir[8325*3 + 1] = -0.997785f;	val_dir[8325*3 + 2] = 0.0f;
 	val_dir[8326*3 + 0] = 0.084443f;	val_dir[8326*3 + 1] = -0.996428f;	val_dir[8326*3 + 2] = 0.0f;
 	val_dir[8327*3 + 0] = 0.102899f;	val_dir[8327*3 + 1] = -0.994692f;	val_dir[8327*3 + 2] = 0.0f;
 	val_dir[8328*3 + 0] = 0.121891f;	val_dir[8328*3 + 1] = -0.992543f;	val_dir[8328*3 + 2] = 0.0f;
 	val_dir[8329*3 + 0] = 0.141421f;	val_dir[8329*3 + 1] = -0.989949f;	val_dir[8329*3 + 2] = 0.0f;
 	val_dir[8330*3 + 0] = 0.161489f;	val_dir[8330*3 + 1] = -0.986875f;	val_dir[8330*3 + 2] = 0.0f;
 	val_dir[8331*3 + 0] = 0.182089f;	val_dir[8331*3 + 1] = -0.983282f;	val_dir[8331*3 + 2] = 0.0f;
 	val_dir[8332*3 + 0] = 0.203216f;	val_dir[8332*3 + 1] = -0.979134f;	val_dir[8332*3 + 2] = 0.0f;
 	val_dir[8333*3 + 0] = 0.224860f;	val_dir[8333*3 + 1] = -0.974391f;	val_dir[8333*3 + 2] = 0.0f;
 	val_dir[8334*3 + 0] = 0.247004f;	val_dir[8334*3 + 1] = -0.969015f;	val_dir[8334*3 + 2] = 0.0f;
 	val_dir[8335*3 + 0] = 0.269630f;	val_dir[8335*3 + 1] = -0.962964f;	val_dir[8335*3 + 2] = 0.0f;
 	val_dir[8336*3 + 0] = 0.292714f;	val_dir[8336*3 + 1] = -0.95620f;	val_dir[8336*3 + 2] = 0.0f;
 	val_dir[8337*3 + 0] = 0.316228f;	val_dir[8337*3 + 1] = -0.948683f;	val_dir[8337*3 + 2] = 0.0f;
 	val_dir[8338*3 + 0] = 0.340136f;	val_dir[8338*3 + 1] = -0.940376f;	val_dir[8338*3 + 2] = 0.0f;
 	val_dir[8339*3 + 0] = 0.364399f;	val_dir[8339*3 + 1] = -0.931243f;	val_dir[8339*3 + 2] = 0.0f;
 	val_dir[8340*3 + 0] = 0.388972f;	val_dir[8340*3 + 1] = -0.921250f;	val_dir[8340*3 + 2] = 0.0f;
 	val_dir[8341*3 + 0] = 0.413803f;	val_dir[8341*3 + 1] = -0.910366f;	val_dir[8341*3 + 2] = 0.0f;
 	val_dir[8342*3 + 0] = 0.438835f;	val_dir[8342*3 + 1] = -0.898567f;	val_dir[8342*3 + 2] = 0.0f;
 	val_dir[8343*3 + 0] = 0.464007f;	val_dir[8343*3 + 1] = -0.885832f;	val_dir[8343*3 + 2] = 0.0f;
 	val_dir[8344*3 + 0] = 0.489251f;	val_dir[8344*3 + 1] = -0.872143f;	val_dir[8344*3 + 2] = 0.0f;
 	val_dir[8345*3 + 0] = 0.514496f;	val_dir[8345*3 + 1] = -0.857493f;	val_dir[8345*3 + 2] = 0.0f;
 	val_dir[8346*3 + 0] = 0.539666f;	val_dir[8346*3 + 1] = -0.841879f;	val_dir[8346*3 + 2] = 0.0f;
 	val_dir[8347*3 + 0] = 0.564684f;	val_dir[8347*3 + 1] = -0.825307f;	val_dir[8347*3 + 2] = 0.0f;
 	val_dir[8348*3 + 0] = 0.589469f;	val_dir[8348*3 + 1] = -0.807791f;	val_dir[8348*3 + 2] = 0.0f;
 	val_dir[8349*3 + 0] = 0.613941f;	val_dir[8349*3 + 1] = -0.789352f;	val_dir[8349*3 + 2] = 0.0f;
 	val_dir[8350*3 + 0] = 0.638018f;	val_dir[8350*3 + 1] = -0.770022f;	val_dir[8350*3 + 2] = 0.0f;
 	val_dir[8351*3 + 0] = 0.661622f;	val_dir[8351*3 + 1] = -0.749838f;	val_dir[8351*3 + 2] = 0.0f;
 	val_dir[8352*3 + 0] = 0.684675f;	val_dir[8352*3 + 1] = -0.728848f;	val_dir[8352*3 + 2] = 0.0f;
 	val_dir[8353*3 + 0] = 0.707107f;	val_dir[8353*3 + 1] = -0.707107f;	val_dir[8353*3 + 2] = 0.0f;
 	val_dir[8354*3 + 0] = 0.728848f;	val_dir[8354*3 + 1] = -0.684675f;	val_dir[8354*3 + 2] = 0.0f;
 	val_dir[8355*3 + 0] = 0.749838f;	val_dir[8355*3 + 1] = -0.661622f;	val_dir[8355*3 + 2] = 0.0f;
 	val_dir[8356*3 + 0] = 0.770022f;	val_dir[8356*3 + 1] = -0.638018f;	val_dir[8356*3 + 2] = 0.0f;
 	val_dir[8357*3 + 0] = 0.789352f;	val_dir[8357*3 + 1] = -0.613941f;	val_dir[8357*3 + 2] = 0.0f;
 	val_dir[8358*3 + 0] = 0.807791f;	val_dir[8358*3 + 1] = -0.589469f;	val_dir[8358*3 + 2] = 0.0f;
 	val_dir[8359*3 + 0] = 0.825307f;	val_dir[8359*3 + 1] = -0.564684f;	val_dir[8359*3 + 2] = 0.0f;
 	val_dir[8360*3 + 0] = 0.841879f;	val_dir[8360*3 + 1] = -0.539666f;	val_dir[8360*3 + 2] = 0.0f;
 	val_dir[8361*3 + 0] = 0.857493f;	val_dir[8361*3 + 1] = -0.514496f;	val_dir[8361*3 + 2] = 0.0f;
 	val_dir[8362*3 + 0] = 0.872143f;	val_dir[8362*3 + 1] = -0.489251f;	val_dir[8362*3 + 2] = 0.0f;
 	val_dir[8363*3 + 0] = 0.885832f;	val_dir[8363*3 + 1] = -0.464007f;	val_dir[8363*3 + 2] = 0.0f;
 	val_dir[8364*3 + 0] = 0.898567f;	val_dir[8364*3 + 1] = -0.438835f;	val_dir[8364*3 + 2] = 0.0f;
 	val_dir[8365*3 + 0] = 0.910366f;	val_dir[8365*3 + 1] = -0.413803f;	val_dir[8365*3 + 2] = 0.0f;
 	val_dir[8366*3 + 0] = 0.921250f;	val_dir[8366*3 + 1] = -0.388972f;	val_dir[8366*3 + 2] = 0.0f;
 	val_dir[8367*3 + 0] = 0.931243f;	val_dir[8367*3 + 1] = -0.364399f;	val_dir[8367*3 + 2] = 0.0f;
 	val_dir[8368*3 + 0] = 0.940376f;	val_dir[8368*3 + 1] = -0.340136f;	val_dir[8368*3 + 2] = 0.0f;
 	val_dir[8369*3 + 0] = 0.948683f;	val_dir[8369*3 + 1] = -0.316228f;	val_dir[8369*3 + 2] = 0.0f;
 	val_dir[8370*3 + 0] = 0.95620f;	val_dir[8370*3 + 1] = -0.292714f;	val_dir[8370*3 + 2] = 0.0f;
 	val_dir[8371*3 + 0] = 0.962964f;	val_dir[8371*3 + 1] = -0.269630f;	val_dir[8371*3 + 2] = 0.0f;
 	val_dir[8372*3 + 0] = 0.969015f;	val_dir[8372*3 + 1] = -0.247004f;	val_dir[8372*3 + 2] = 0.0f;
 	val_dir[8373*3 + 0] = 0.974391f;	val_dir[8373*3 + 1] = -0.224860f;	val_dir[8373*3 + 2] = 0.0f;
 	val_dir[8374*3 + 0] = 0.979134f;	val_dir[8374*3 + 1] = -0.203216f;	val_dir[8374*3 + 2] = 0.0f;
 	val_dir[8375*3 + 0] = 0.983282f;	val_dir[8375*3 + 1] = -0.182089f;	val_dir[8375*3 + 2] = 0.0f;
 	val_dir[8376*3 + 0] = 0.986875f;	val_dir[8376*3 + 1] = -0.161489f;	val_dir[8376*3 + 2] = 0.0f;
 	val_dir[8377*3 + 0] = 0.989949f;	val_dir[8377*3 + 1] = -0.141421f;	val_dir[8377*3 + 2] = 0.0f;
 	val_dir[8378*3 + 0] = 0.992543f;	val_dir[8378*3 + 1] = -0.121891f;	val_dir[8378*3 + 2] = 0.0f;
 	val_dir[8379*3 + 0] = 0.994692f;	val_dir[8379*3 + 1] = -0.102899f;	val_dir[8379*3 + 2] = 0.0f;
 	val_dir[8380*3 + 0] = 0.996428f;	val_dir[8380*3 + 1] = -0.084443f;	val_dir[8380*3 + 2] = 0.0f;
 	val_dir[8381*3 + 0] = 0.997785f;	val_dir[8381*3 + 1] = -0.066519f;	val_dir[8381*3 + 2] = 0.0f;
 	val_dir[8382*3 + 0] = 0.998793f;	val_dir[8382*3 + 1] = -0.049121f;	val_dir[8382*3 + 2] = 0.0f;
 	val_dir[8383*3 + 0] = 0.999480f;	val_dir[8383*3 + 1] = -0.032241f;	val_dir[8383*3 + 2] = 0.0f;
 	val_dir[8384*3 + 0] = 0.999874f;	val_dir[8384*3 + 1] = -0.015871f;	val_dir[8384*3 + 2] = 0.0f;
 	val_dir[8385*3 + 0] = 1.0f;	val_dir[8385*3 + 1] = 0.0f;	val_dir[8385*3 + 2] = 0.0f;
 	val_dir[8386*3 + 0] = 0.0f;	val_dir[8386*3 + 1] = -0.999874f;	val_dir[8386*3 + 2] = -0.015871f;
 	val_dir[8387*3 + 0] = 0.016125f;	val_dir[8387*3 + 1] = -0.999740f;	val_dir[8387*3 + 2] = -0.016125f;
 	val_dir[8388*3 + 0] = 0.032765f;	val_dir[8388*3 + 1] = -0.999329f;	val_dir[8388*3 + 2] = -0.016382f;
 	val_dir[8389*3 + 0] = 0.049931f;	val_dir[8389*3 + 1] = -0.998614f;	val_dir[8389*3 + 2] = -0.016644f;
 	val_dir[8390*3 + 0] = 0.067632f;	val_dir[8390*3 + 1] = -0.997567f;	val_dir[8390*3 + 2] = -0.016908f;
 	val_dir[8391*3 + 0] = 0.085876f;	val_dir[8391*3 + 1] = -0.996158f;	val_dir[8391*3 + 2] = -0.017175f;
 	val_dir[8392*3 + 0] = 0.104669f;	val_dir[8392*3 + 1] = -0.994354f;	val_dir[8392*3 + 2] = -0.017445f;
 	val_dir[8393*3 + 0] = 0.124015f;	val_dir[8393*3 + 1] = -0.992122f;	val_dir[8393*3 + 2] = -0.017716f;
 	val_dir[8394*3 + 0] = 0.143917f;	val_dir[8394*3 + 1] = -0.989426f;	val_dir[8394*3 + 2] = -0.017990f;
 	val_dir[8395*3 + 0] = 0.164372f;	val_dir[8395*3 + 1] = -0.986229f;	val_dir[8395*3 + 2] = -0.018264f;
 	val_dir[8396*3 + 0] = 0.185376f;	val_dir[8396*3 + 1] = -0.982493f;	val_dir[8396*3 + 2] = -0.018538f;
 	val_dir[8397*3 + 0] = 0.206922f;	val_dir[8397*3 + 1] = -0.978177f;	val_dir[8397*3 + 2] = -0.018811f;
 	val_dir[8398*3 + 0] = 0.228998f;	val_dir[8398*3 + 1] = -0.973240f;	val_dir[8398*3 + 2] = -0.019083f;
 	val_dir[8399*3 + 0] = 0.251587f;	val_dir[8399*3 + 1] = -0.967641f;	val_dir[8399*3 + 2] = -0.019353f;
 	val_dir[8400*3 + 0] = 0.274668f;	val_dir[8400*3 + 1] = -0.961339f;	val_dir[8400*3 + 2] = -0.019619f;
 	val_dir[8401*3 + 0] = 0.298216f;	val_dir[8401*3 + 1] = -0.954291f;	val_dir[8401*3 + 2] = -0.019881f;
 	val_dir[8402*3 + 0] = 0.322198f;	val_dir[8402*3 + 1] = -0.946458f;	val_dir[8402*3 + 2] = -0.020137f;
 	val_dir[8403*3 + 0] = 0.346578f;	val_dir[8403*3 + 1] = -0.93780f;	val_dir[8403*3 + 2] = -0.020387f;
 	val_dir[8404*3 + 0] = 0.371312f;	val_dir[8404*3 + 1] = -0.928279f;	val_dir[8404*3 + 2] = -0.020628f;
 	val_dir[8405*3 + 0] = 0.396350f;	val_dir[8405*3 + 1] = -0.917863f;	val_dir[8405*3 + 2] = -0.020861f;
 	val_dir[8406*3 + 0] = 0.421637f;	val_dir[8406*3 + 1] = -0.906520f;	val_dir[8406*3 + 2] = -0.021082f;
 	val_dir[8407*3 + 0] = 0.447112f;	val_dir[8407*3 + 1] = -0.894224f;	val_dir[8407*3 + 2] = -0.021291f;
 	val_dir[8408*3 + 0] = 0.472709f;	val_dir[8408*3 + 1] = -0.880957f;	val_dir[8408*3 + 2] = -0.021487f;
 	val_dir[8409*3 + 0] = 0.498354f;	val_dir[8409*3 + 1] = -0.866703f;	val_dir[8409*3 + 2] = -0.021668f;
 	val_dir[8410*3 + 0] = 0.523973f;	val_dir[8410*3 + 1] = -0.851455f;	val_dir[8410*3 + 2] = -0.021832f;
 	val_dir[8411*3 + 0] = 0.549484f;	val_dir[8411*3 + 1] = -0.835215f;	val_dir[8411*3 + 2] = -0.021979f;
 	val_dir[8412*3 + 0] = 0.574805f;	val_dir[8412*3 + 1] = -0.817992f;	val_dir[8412*3 + 2] = -0.022108f;
 	val_dir[8413*3 + 0] = 0.599852f;	val_dir[8413*3 + 1] = -0.799803f;	val_dir[8413*3 + 2] = -0.022217f;
 	val_dir[8414*3 + 0] = 0.624540f;	val_dir[8414*3 + 1] = -0.780675f;	val_dir[8414*3 + 2] = -0.022305f;
 	val_dir[8415*3 + 0] = 0.648784f;	val_dir[8415*3 + 1] = -0.760644f;	val_dir[8415*3 + 2] = -0.022372f;
 	val_dir[8416*3 + 0] = 0.672504f;	val_dir[8416*3 + 1] = -0.739754f;	val_dir[8416*3 + 2] = -0.022417f;
 	val_dir[8417*3 + 0] = 0.695620f;	val_dir[8417*3 + 1] = -0.718059f;	val_dir[8417*3 + 2] = -0.022439f;
 	val_dir[8418*3 + 0] = 0.718059f;	val_dir[8418*3 + 1] = -0.695620f;	val_dir[8418*3 + 2] = -0.022439f;
 	val_dir[8419*3 + 0] = 0.739754f;	val_dir[8419*3 + 1] = -0.672504f;	val_dir[8419*3 + 2] = -0.022417f;
 	val_dir[8420*3 + 0] = 0.760644f;	val_dir[8420*3 + 1] = -0.648784f;	val_dir[8420*3 + 2] = -0.022372f;
 	val_dir[8421*3 + 0] = 0.780675f;	val_dir[8421*3 + 1] = -0.624540f;	val_dir[8421*3 + 2] = -0.022305f;
 	val_dir[8422*3 + 0] = 0.799803f;	val_dir[8422*3 + 1] = -0.599852f;	val_dir[8422*3 + 2] = -0.022217f;
 	val_dir[8423*3 + 0] = 0.817992f;	val_dir[8423*3 + 1] = -0.574805f;	val_dir[8423*3 + 2] = -0.022108f;
 	val_dir[8424*3 + 0] = 0.835215f;	val_dir[8424*3 + 1] = -0.549484f;	val_dir[8424*3 + 2] = -0.021979f;
 	val_dir[8425*3 + 0] = 0.851455f;	val_dir[8425*3 + 1] = -0.523973f;	val_dir[8425*3 + 2] = -0.021832f;
 	val_dir[8426*3 + 0] = 0.866703f;	val_dir[8426*3 + 1] = -0.498354f;	val_dir[8426*3 + 2] = -0.021668f;
 	val_dir[8427*3 + 0] = 0.880957f;	val_dir[8427*3 + 1] = -0.472709f;	val_dir[8427*3 + 2] = -0.021487f;
 	val_dir[8428*3 + 0] = 0.894224f;	val_dir[8428*3 + 1] = -0.447112f;	val_dir[8428*3 + 2] = -0.021291f;
 	val_dir[8429*3 + 0] = 0.906520f;	val_dir[8429*3 + 1] = -0.421637f;	val_dir[8429*3 + 2] = -0.021082f;
 	val_dir[8430*3 + 0] = 0.917863f;	val_dir[8430*3 + 1] = -0.396350f;	val_dir[8430*3 + 2] = -0.020861f;
 	val_dir[8431*3 + 0] = 0.928279f;	val_dir[8431*3 + 1] = -0.371312f;	val_dir[8431*3 + 2] = -0.020628f;
 	val_dir[8432*3 + 0] = 0.93780f;	val_dir[8432*3 + 1] = -0.346578f;	val_dir[8432*3 + 2] = -0.020387f;
 	val_dir[8433*3 + 0] = 0.946458f;	val_dir[8433*3 + 1] = -0.322198f;	val_dir[8433*3 + 2] = -0.020137f;
 	val_dir[8434*3 + 0] = 0.954291f;	val_dir[8434*3 + 1] = -0.298216f;	val_dir[8434*3 + 2] = -0.019881f;
 	val_dir[8435*3 + 0] = 0.961339f;	val_dir[8435*3 + 1] = -0.274668f;	val_dir[8435*3 + 2] = -0.019619f;
 	val_dir[8436*3 + 0] = 0.967641f;	val_dir[8436*3 + 1] = -0.251587f;	val_dir[8436*3 + 2] = -0.019353f;
 	val_dir[8437*3 + 0] = 0.973240f;	val_dir[8437*3 + 1] = -0.228998f;	val_dir[8437*3 + 2] = -0.019083f;
 	val_dir[8438*3 + 0] = 0.978177f;	val_dir[8438*3 + 1] = -0.206922f;	val_dir[8438*3 + 2] = -0.018811f;
 	val_dir[8439*3 + 0] = 0.982493f;	val_dir[8439*3 + 1] = -0.185376f;	val_dir[8439*3 + 2] = -0.018538f;
 	val_dir[8440*3 + 0] = 0.986229f;	val_dir[8440*3 + 1] = -0.164372f;	val_dir[8440*3 + 2] = -0.018264f;
 	val_dir[8441*3 + 0] = 0.989426f;	val_dir[8441*3 + 1] = -0.143917f;	val_dir[8441*3 + 2] = -0.017990f;
 	val_dir[8442*3 + 0] = 0.992122f;	val_dir[8442*3 + 1] = -0.124015f;	val_dir[8442*3 + 2] = -0.017716f;
 	val_dir[8443*3 + 0] = 0.994354f;	val_dir[8443*3 + 1] = -0.104669f;	val_dir[8443*3 + 2] = -0.017445f;
 	val_dir[8444*3 + 0] = 0.996158f;	val_dir[8444*3 + 1] = -0.085876f;	val_dir[8444*3 + 2] = -0.017175f;
 	val_dir[8445*3 + 0] = 0.997567f;	val_dir[8445*3 + 1] = -0.067632f;	val_dir[8445*3 + 2] = -0.016908f;
 	val_dir[8446*3 + 0] = 0.998614f;	val_dir[8446*3 + 1] = -0.049931f;	val_dir[8446*3 + 2] = -0.016644f;
 	val_dir[8447*3 + 0] = 0.999329f;	val_dir[8447*3 + 1] = -0.032765f;	val_dir[8447*3 + 2] = -0.016382f;
 	val_dir[8448*3 + 0] = 0.999740f;	val_dir[8448*3 + 1] = -0.016125f;	val_dir[8448*3 + 2] = -0.016125f;
 	val_dir[8449*3 + 0] = 0.999874f;	val_dir[8449*3 + 1] = 0.0f;	val_dir[8449*3 + 2] = -0.015871f;
 	val_dir[8450*3 + 0] = -0.015871f;	val_dir[8450*3 + 1] = -0.999874f;	val_dir[8450*3 + 2] = 0.0f;
 	val_dir[8451*3 + 0] = 0.0f;	val_dir[8451*3 + 1] = -0.999480f;	val_dir[8451*3 + 2] = -0.032241f;
 	val_dir[8452*3 + 0] = 0.016382f;	val_dir[8452*3 + 1] = -0.999329f;	val_dir[8452*3 + 2] = -0.032765f;
 	val_dir[8453*3 + 0] = 0.033296f;	val_dir[8453*3 + 1] = -0.998891f;	val_dir[8453*3 + 2] = -0.033296f;
 	val_dir[8454*3 + 0] = 0.050753f;	val_dir[8454*3 + 1] = -0.998138f;	val_dir[8454*3 + 2] = -0.033835f;
 	val_dir[8455*3 + 0] = 0.068761f;	val_dir[8455*3 + 1] = -0.997041f;	val_dir[8455*3 + 2] = -0.034381f;
 	val_dir[8456*3 + 0] = 0.087330f;	val_dir[8456*3 + 1] = -0.995567f;	val_dir[8456*3 + 2] = -0.034932f;
 	val_dir[8457*3 + 0] = 0.106466f;	val_dir[8457*3 + 1] = -0.993683f;	val_dir[8457*3 + 2] = -0.035489f;
 	val_dir[8458*3 + 0] = 0.126172f;	val_dir[8458*3 + 1] = -0.991353f;	val_dir[8458*3 + 2] = -0.036049f;
 	val_dir[8459*3 + 0] = 0.146450f;	val_dir[8459*3 + 1] = -0.988540f;	val_dir[8459*3 + 2] = -0.036613f;
 	val_dir[8460*3 + 0] = 0.167299f;	val_dir[8460*3 + 1] = -0.985205f;	val_dir[8460*3 + 2] = -0.037178f;
 	val_dir[8461*3 + 0] = 0.188713f;	val_dir[8461*3 + 1] = -0.981307f;	val_dir[8461*3 + 2] = -0.037743f;
 	val_dir[8462*3 + 0] = 0.210683f;	val_dir[8462*3 + 1] = -0.976804f;	val_dir[8462*3 + 2] = -0.038306f;
 	val_dir[8463*3 + 0] = 0.233197f;	val_dir[8463*3 + 1] = -0.971653f;	val_dir[8463*3 + 2] = -0.038866f;
 	val_dir[8464*3 + 0] = 0.256235f;	val_dir[8464*3 + 1] = -0.965810f;	val_dir[8464*3 + 2] = -0.039421f;
 	val_dir[8465*3 + 0] = 0.279776f;	val_dir[8465*3 + 1] = -0.959233f;	val_dir[8465*3 + 2] = -0.039968f;
 	val_dir[8466*3 + 0] = 0.303791f;	val_dir[8466*3 + 1] = -0.951877f;	val_dir[8466*3 + 2] = -0.040505f;
 	val_dir[8467*3 + 0] = 0.328244f;	val_dir[8467*3 + 1] = -0.943701f;	val_dir[8467*3 + 2] = -0.041030f;
 	val_dir[8468*3 + 0] = 0.353096f;	val_dir[8468*3 + 1] = -0.934665f;	val_dir[8468*3 + 2] = -0.041541f;
 	val_dir[8469*3 + 0] = 0.378298f;	val_dir[8469*3 + 1] = -0.924729f;	val_dir[8469*3 + 2] = -0.042033f;
 	val_dir[8470*3 + 0] = 0.403799f;	val_dir[8470*3 + 1] = -0.913860f;	val_dir[8470*3 + 2] = -0.042505f;
 	val_dir[8471*3 + 0] = 0.429537f;	val_dir[8471*3 + 1] = -0.902027f;	val_dir[8471*3 + 2] = -0.042954f;
 	val_dir[8472*3 + 0] = 0.455447f;	val_dir[8472*3 + 1] = -0.889206f;	val_dir[8472*3 + 2] = -0.043376f;
 	val_dir[8473*3 + 0] = 0.481457f;	val_dir[8473*3 + 1] = -0.875376f;	val_dir[8473*3 + 2] = -0.043769f;
 	val_dir[8474*3 + 0] = 0.507490f;	val_dir[8474*3 + 1] = -0.860527f;	val_dir[8474*3 + 2] = -0.044130f;
 	val_dir[8475*3 + 0] = 0.533465f;	val_dir[8475*3 + 1] = -0.844653f;	val_dir[8475*3 + 2] = -0.044455f;
 	val_dir[8476*3 + 0] = 0.559297f;	val_dir[8476*3 + 1] = -0.827759f;	val_dir[8476*3 + 2] = -0.044744f;
 	val_dir[8477*3 + 0] = 0.584898f;	val_dir[8477*3 + 1] = -0.809858f;	val_dir[8477*3 + 2] = -0.044992f;
 	val_dir[8478*3 + 0] = 0.610179f;	val_dir[8478*3 + 1] = -0.790973f;	val_dir[8478*3 + 2] = -0.045198f;
 	val_dir[8479*3 + 0] = 0.635053f;	val_dir[8479*3 + 1] = -0.771136f;	val_dir[8479*3 + 2] = -0.045361f;
 	val_dir[8480*3 + 0] = 0.659432f;	val_dir[8480*3 + 1] = -0.750388f;	val_dir[8480*3 + 2] = -0.045478f;
 	val_dir[8481*3 + 0] = 0.683231f;	val_dir[8481*3 + 1] = -0.728780f;	val_dir[8481*3 + 2] = -0.045549f;
 	val_dir[8482*3 + 0] = 0.706372f;	val_dir[8482*3 + 1] = -0.706372f;	val_dir[8482*3 + 2] = -0.045572f;
 	val_dir[8483*3 + 0] = 0.728780f;	val_dir[8483*3 + 1] = -0.683231f;	val_dir[8483*3 + 2] = -0.045549f;
 	val_dir[8484*3 + 0] = 0.750388f;	val_dir[8484*3 + 1] = -0.659432f;	val_dir[8484*3 + 2] = -0.045478f;
 	val_dir[8485*3 + 0] = 0.771136f;	val_dir[8485*3 + 1] = -0.635053f;	val_dir[8485*3 + 2] = -0.045361f;
 	val_dir[8486*3 + 0] = 0.790973f;	val_dir[8486*3 + 1] = -0.610179f;	val_dir[8486*3 + 2] = -0.045198f;
 	val_dir[8487*3 + 0] = 0.809858f;	val_dir[8487*3 + 1] = -0.584898f;	val_dir[8487*3 + 2] = -0.044992f;
 	val_dir[8488*3 + 0] = 0.827759f;	val_dir[8488*3 + 1] = -0.559297f;	val_dir[8488*3 + 2] = -0.044744f;
 	val_dir[8489*3 + 0] = 0.844653f;	val_dir[8489*3 + 1] = -0.533465f;	val_dir[8489*3 + 2] = -0.044455f;
 	val_dir[8490*3 + 0] = 0.860527f;	val_dir[8490*3 + 1] = -0.507490f;	val_dir[8490*3 + 2] = -0.044130f;
 	val_dir[8491*3 + 0] = 0.875376f;	val_dir[8491*3 + 1] = -0.481457f;	val_dir[8491*3 + 2] = -0.043769f;
 	val_dir[8492*3 + 0] = 0.889206f;	val_dir[8492*3 + 1] = -0.455447f;	val_dir[8492*3 + 2] = -0.043376f;
 	val_dir[8493*3 + 0] = 0.902027f;	val_dir[8493*3 + 1] = -0.429537f;	val_dir[8493*3 + 2] = -0.042954f;
 	val_dir[8494*3 + 0] = 0.913860f;	val_dir[8494*3 + 1] = -0.403799f;	val_dir[8494*3 + 2] = -0.042505f;
 	val_dir[8495*3 + 0] = 0.924729f;	val_dir[8495*3 + 1] = -0.378298f;	val_dir[8495*3 + 2] = -0.042033f;
 	val_dir[8496*3 + 0] = 0.934665f;	val_dir[8496*3 + 1] = -0.353096f;	val_dir[8496*3 + 2] = -0.041541f;
 	val_dir[8497*3 + 0] = 0.943701f;	val_dir[8497*3 + 1] = -0.328244f;	val_dir[8497*3 + 2] = -0.041030f;
 	val_dir[8498*3 + 0] = 0.951877f;	val_dir[8498*3 + 1] = -0.303791f;	val_dir[8498*3 + 2] = -0.040505f;
 	val_dir[8499*3 + 0] = 0.959233f;	val_dir[8499*3 + 1] = -0.279776f;	val_dir[8499*3 + 2] = -0.039968f;
 	val_dir[8500*3 + 0] = 0.965810f;	val_dir[8500*3 + 1] = -0.256235f;	val_dir[8500*3 + 2] = -0.039421f;
 	val_dir[8501*3 + 0] = 0.971653f;	val_dir[8501*3 + 1] = -0.233197f;	val_dir[8501*3 + 2] = -0.038866f;
 	val_dir[8502*3 + 0] = 0.976804f;	val_dir[8502*3 + 1] = -0.210683f;	val_dir[8502*3 + 2] = -0.038306f;
 	val_dir[8503*3 + 0] = 0.981307f;	val_dir[8503*3 + 1] = -0.188713f;	val_dir[8503*3 + 2] = -0.037743f;
 	val_dir[8504*3 + 0] = 0.985205f;	val_dir[8504*3 + 1] = -0.167299f;	val_dir[8504*3 + 2] = -0.037178f;
 	val_dir[8505*3 + 0] = 0.988540f;	val_dir[8505*3 + 1] = -0.146450f;	val_dir[8505*3 + 2] = -0.036613f;
 	val_dir[8506*3 + 0] = 0.991353f;	val_dir[8506*3 + 1] = -0.126172f;	val_dir[8506*3 + 2] = -0.036049f;
 	val_dir[8507*3 + 0] = 0.993683f;	val_dir[8507*3 + 1] = -0.106466f;	val_dir[8507*3 + 2] = -0.035489f;
 	val_dir[8508*3 + 0] = 0.995567f;	val_dir[8508*3 + 1] = -0.087330f;	val_dir[8508*3 + 2] = -0.034932f;
 	val_dir[8509*3 + 0] = 0.997041f;	val_dir[8509*3 + 1] = -0.068761f;	val_dir[8509*3 + 2] = -0.034381f;
 	val_dir[8510*3 + 0] = 0.998138f;	val_dir[8510*3 + 1] = -0.050753f;	val_dir[8510*3 + 2] = -0.033835f;
 	val_dir[8511*3 + 0] = 0.998891f;	val_dir[8511*3 + 1] = -0.033296f;	val_dir[8511*3 + 2] = -0.033296f;
 	val_dir[8512*3 + 0] = 0.999329f;	val_dir[8512*3 + 1] = -0.016382f;	val_dir[8512*3 + 2] = -0.032765f;
 	val_dir[8513*3 + 0] = 0.999480f;	val_dir[8513*3 + 1] = 0.0f;	val_dir[8513*3 + 2] = -0.032241f;
 	val_dir[8514*3 + 0] = 0.999874f;	val_dir[8514*3 + 1] = 0.015871f;	val_dir[8514*3 + 2] = 0.0f;
 	val_dir[8515*3 + 0] = -0.016125f;	val_dir[8515*3 + 1] = -0.999740f;	val_dir[8515*3 + 2] = -0.016125f;
 	val_dir[8516*3 + 0] = 0.0f;	val_dir[8516*3 + 1] = -0.998793f;	val_dir[8516*3 + 2] = -0.049121f;
 	val_dir[8517*3 + 0] = 0.016644f;	val_dir[8517*3 + 1] = -0.998614f;	val_dir[8517*3 + 2] = -0.049931f;
 	val_dir[8518*3 + 0] = 0.033835f;	val_dir[8518*3 + 1] = -0.998138f;	val_dir[8518*3 + 2] = -0.050753f;
 	val_dir[8519*3 + 0] = 0.051586f;	val_dir[8519*3 + 1] = -0.997335f;	val_dir[8519*3 + 2] = -0.051586f;
 	val_dir[8520*3 + 0] = 0.069907f;	val_dir[8520*3 + 1] = -0.996175f;	val_dir[8520*3 + 2] = -0.052430f;
 	val_dir[8521*3 + 0] = 0.088806f;	val_dir[8521*3 + 1] = -0.994623f;	val_dir[8521*3 + 2] = -0.053283f;
 	val_dir[8522*3 + 0] = 0.108288f;	val_dir[8522*3 + 1] = -0.992644f;	val_dir[8522*3 + 2] = -0.054144f;
 	val_dir[8523*3 + 0] = 0.128359f;	val_dir[8523*3 + 1] = -0.990201f;	val_dir[8523*3 + 2] = -0.055011f;
 	val_dir[8524*3 + 0] = 0.149019f;	val_dir[8524*3 + 1] = -0.987254f;	val_dir[8524*3 + 2] = -0.055882f;
 	val_dir[8525*3 + 0] = 0.170267f;	val_dir[8525*3 + 1] = -0.983762f;	val_dir[8525*3 + 2] = -0.056756f;
 	val_dir[8526*3 + 0] = 0.192095f;	val_dir[8526*3 + 1] = -0.979683f;	val_dir[8526*3 + 2] = -0.057628f;
 	val_dir[8527*3 + 0] = 0.214494f;	val_dir[8527*3 + 1] = -0.974972f;	val_dir[8527*3 + 2] = -0.058498f;
 	val_dir[8528*3 + 0] = 0.237449f;	val_dir[8528*3 + 1] = -0.969584f;	val_dir[8528*3 + 2] = -0.059362f;
 	val_dir[8529*3 + 0] = 0.260941f;	val_dir[8529*3 + 1] = -0.963475f;	val_dir[8529*3 + 2] = -0.060217f;
 	val_dir[8530*3 + 0] = 0.284944f;	val_dir[8530*3 + 1] = -0.956597f;	val_dir[8530*3 + 2] = -0.061059f;
 	val_dir[8531*3 + 0] = 0.309426f;	val_dir[8531*3 + 1] = -0.948908f;	val_dir[8531*3 + 2] = -0.061885f;
 	val_dir[8532*3 + 0] = 0.334351f;	val_dir[8532*3 + 1] = -0.940361f;	val_dir[8532*3 + 2] = -0.062691f;
 	val_dir[8533*3 + 0] = 0.359673f;	val_dir[8533*3 + 1] = -0.930917f;	val_dir[8533*3 + 2] = -0.063472f;
 	val_dir[8534*3 + 0] = 0.385341f;	val_dir[8534*3 + 1] = -0.920537f;	val_dir[8534*3 + 2] = -0.064223f;
 	val_dir[8535*3 + 0] = 0.411298f;	val_dir[8535*3 + 1] = -0.909185f;	val_dir[8535*3 + 2] = -0.064942f;
 	val_dir[8536*3 + 0] = 0.437479f;	val_dir[8536*3 + 1] = -0.896831f;	val_dir[8536*3 + 2] = -0.065622f;
 	val_dir[8537*3 + 0] = 0.463812f;	val_dir[8537*3 + 1] = -0.883452f;	val_dir[8537*3 + 2] = -0.066259f;
 	val_dir[8538*3 + 0] = 0.490222f;	val_dir[8538*3 + 1] = -0.869030f;	val_dir[8538*3 + 2] = -0.066848f;
 	val_dir[8539*3 + 0] = 0.516626f;	val_dir[8539*3 + 1] = -0.853556f;	val_dir[8539*3 + 2] = -0.067386f;
 	val_dir[8540*3 + 0] = 0.542936f;	val_dir[8540*3 + 1] = -0.837027f;	val_dir[8540*3 + 2] = -0.067867f;
 	val_dir[8541*3 + 0] = 0.569064f;	val_dir[8541*3 + 1] = -0.819453f;	val_dir[8541*3 + 2] = -0.068288f;
 	val_dir[8542*3 + 0] = 0.594917f;	val_dir[8542*3 + 1] = -0.800850f;	val_dir[8542*3 + 2] = -0.068644f;
 	val_dir[8543*3 + 0] = 0.620403f;	val_dir[8543*3 + 1] = -0.781248f;	val_dir[8543*3 + 2] = -0.068934f;
 	val_dir[8544*3 + 0] = 0.645429f;	val_dir[8544*3 + 1] = -0.760684f;	val_dir[8544*3 + 2] = -0.069153f;
 	val_dir[8545*3 + 0] = 0.669905f;	val_dir[8545*3 + 1] = -0.739205f;	val_dir[8545*3 + 2] = -0.069301f;
 	val_dir[8546*3 + 0] = 0.693746f;	val_dir[8546*3 + 1] = -0.716871f;	val_dir[8546*3 + 2] = -0.069375f;
 	val_dir[8547*3 + 0] = 0.716871f;	val_dir[8547*3 + 1] = -0.693746f;	val_dir[8547*3 + 2] = -0.069375f;
 	val_dir[8548*3 + 0] = 0.739205f;	val_dir[8548*3 + 1] = -0.669905f;	val_dir[8548*3 + 2] = -0.069301f;
 	val_dir[8549*3 + 0] = 0.760684f;	val_dir[8549*3 + 1] = -0.645429f;	val_dir[8549*3 + 2] = -0.069153f;
 	val_dir[8550*3 + 0] = 0.781248f;	val_dir[8550*3 + 1] = -0.620403f;	val_dir[8550*3 + 2] = -0.068934f;
 	val_dir[8551*3 + 0] = 0.800850f;	val_dir[8551*3 + 1] = -0.594917f;	val_dir[8551*3 + 2] = -0.068644f;
 	val_dir[8552*3 + 0] = 0.819453f;	val_dir[8552*3 + 1] = -0.569064f;	val_dir[8552*3 + 2] = -0.068288f;
 	val_dir[8553*3 + 0] = 0.837027f;	val_dir[8553*3 + 1] = -0.542936f;	val_dir[8553*3 + 2] = -0.067867f;
 	val_dir[8554*3 + 0] = 0.853556f;	val_dir[8554*3 + 1] = -0.516626f;	val_dir[8554*3 + 2] = -0.067386f;
 	val_dir[8555*3 + 0] = 0.869030f;	val_dir[8555*3 + 1] = -0.490222f;	val_dir[8555*3 + 2] = -0.066848f;
 	val_dir[8556*3 + 0] = 0.883452f;	val_dir[8556*3 + 1] = -0.463812f;	val_dir[8556*3 + 2] = -0.066259f;
 	val_dir[8557*3 + 0] = 0.896831f;	val_dir[8557*3 + 1] = -0.437479f;	val_dir[8557*3 + 2] = -0.065622f;
 	val_dir[8558*3 + 0] = 0.909185f;	val_dir[8558*3 + 1] = -0.411298f;	val_dir[8558*3 + 2] = -0.064942f;
 	val_dir[8559*3 + 0] = 0.920537f;	val_dir[8559*3 + 1] = -0.385341f;	val_dir[8559*3 + 2] = -0.064223f;
 	val_dir[8560*3 + 0] = 0.930917f;	val_dir[8560*3 + 1] = -0.359673f;	val_dir[8560*3 + 2] = -0.063472f;
 	val_dir[8561*3 + 0] = 0.940361f;	val_dir[8561*3 + 1] = -0.334351f;	val_dir[8561*3 + 2] = -0.062691f;
 	val_dir[8562*3 + 0] = 0.948908f;	val_dir[8562*3 + 1] = -0.309426f;	val_dir[8562*3 + 2] = -0.061885f;
 	val_dir[8563*3 + 0] = 0.956597f;	val_dir[8563*3 + 1] = -0.284944f;	val_dir[8563*3 + 2] = -0.061059f;
 	val_dir[8564*3 + 0] = 0.963475f;	val_dir[8564*3 + 1] = -0.260941f;	val_dir[8564*3 + 2] = -0.060217f;
 	val_dir[8565*3 + 0] = 0.969584f;	val_dir[8565*3 + 1] = -0.237449f;	val_dir[8565*3 + 2] = -0.059362f;
 	val_dir[8566*3 + 0] = 0.974972f;	val_dir[8566*3 + 1] = -0.214494f;	val_dir[8566*3 + 2] = -0.058498f;
 	val_dir[8567*3 + 0] = 0.979683f;	val_dir[8567*3 + 1] = -0.192095f;	val_dir[8567*3 + 2] = -0.057628f;
 	val_dir[8568*3 + 0] = 0.983762f;	val_dir[8568*3 + 1] = -0.170267f;	val_dir[8568*3 + 2] = -0.056756f;
 	val_dir[8569*3 + 0] = 0.987254f;	val_dir[8569*3 + 1] = -0.149019f;	val_dir[8569*3 + 2] = -0.055882f;
 	val_dir[8570*3 + 0] = 0.990201f;	val_dir[8570*3 + 1] = -0.128359f;	val_dir[8570*3 + 2] = -0.055011f;
 	val_dir[8571*3 + 0] = 0.992644f;	val_dir[8571*3 + 1] = -0.108288f;	val_dir[8571*3 + 2] = -0.054144f;
 	val_dir[8572*3 + 0] = 0.994623f;	val_dir[8572*3 + 1] = -0.088806f;	val_dir[8572*3 + 2] = -0.053283f;
 	val_dir[8573*3 + 0] = 0.996175f;	val_dir[8573*3 + 1] = -0.069907f;	val_dir[8573*3 + 2] = -0.052430f;
 	val_dir[8574*3 + 0] = 0.997335f;	val_dir[8574*3 + 1] = -0.051586f;	val_dir[8574*3 + 2] = -0.051586f;
 	val_dir[8575*3 + 0] = 0.998138f;	val_dir[8575*3 + 1] = -0.033835f;	val_dir[8575*3 + 2] = -0.050753f;
 	val_dir[8576*3 + 0] = 0.998614f;	val_dir[8576*3 + 1] = -0.016644f;	val_dir[8576*3 + 2] = -0.049931f;
 	val_dir[8577*3 + 0] = 0.998793f;	val_dir[8577*3 + 1] = 0.0f;	val_dir[8577*3 + 2] = -0.049121f;
 	val_dir[8578*3 + 0] = 0.999740f;	val_dir[8578*3 + 1] = 0.016125f;	val_dir[8578*3 + 2] = -0.016125f;
 	val_dir[8579*3 + 0] = -0.032241f;	val_dir[8579*3 + 1] = -0.999480f;	val_dir[8579*3 + 2] = 0.0f;
 	val_dir[8580*3 + 0] = -0.016382f;	val_dir[8580*3 + 1] = -0.999329f;	val_dir[8580*3 + 2] = -0.032765f;
 	val_dir[8581*3 + 0] = 0.0f;	val_dir[8581*3 + 1] = -0.997785f;	val_dir[8581*3 + 2] = -0.066519f;
 	val_dir[8582*3 + 0] = 0.016908f;	val_dir[8582*3 + 1] = -0.997567f;	val_dir[8582*3 + 2] = -0.067632f;
 	val_dir[8583*3 + 0] = 0.034381f;	val_dir[8583*3 + 1] = -0.997041f;	val_dir[8583*3 + 2] = -0.068761f;
 	val_dir[8584*3 + 0] = 0.052430f;	val_dir[8584*3 + 1] = -0.996175f;	val_dir[8584*3 + 2] = -0.069907f;
 	val_dir[8585*3 + 0] = 0.071067f;	val_dir[8585*3 + 1] = -0.994937f;	val_dir[8585*3 + 2] = -0.071067f;
 	val_dir[8586*3 + 0] = 0.090299f;	val_dir[8586*3 + 1] = -0.993291f;	val_dir[8586*3 + 2] = -0.072239f;
 	val_dir[8587*3 + 0] = 0.110133f;	val_dir[8587*3 + 1] = -0.991201f;	val_dir[8587*3 + 2] = -0.073422f;
 	val_dir[8588*3 + 0] = 0.130573f;	val_dir[8588*3 + 1] = -0.988627f;	val_dir[8588*3 + 2] = -0.074613f;
 	val_dir[8589*3 + 0] = 0.151620f;	val_dir[8589*3 + 1] = -0.985527f;	val_dir[8589*3 + 2] = -0.075810f;
 	val_dir[8590*3 + 0] = 0.173269f;	val_dir[8590*3 + 1] = -0.981859f;	val_dir[8590*3 + 2] = -0.077009f;
 	val_dir[8591*3 + 0] = 0.195515f;	val_dir[8591*3 + 1] = -0.977577f;	val_dir[8591*3 + 2] = -0.078206f;
 	val_dir[8592*3 + 0] = 0.218347f;	val_dir[8592*3 + 1] = -0.972636f;	val_dir[8592*3 + 2] = -0.079399f;
 	val_dir[8593*3 + 0] = 0.241747f;	val_dir[8593*3 + 1] = -0.966988f;	val_dir[8593*3 + 2] = -0.080582f;
 	val_dir[8594*3 + 0] = 0.265694f;	val_dir[8594*3 + 1] = -0.960585f;	val_dir[8594*3 + 2] = -0.081752f;
 	val_dir[8595*3 + 0] = 0.290159f;	val_dir[8595*3 + 1] = -0.953381f;	val_dir[8595*3 + 2] = -0.082903f;
 	val_dir[8596*3 + 0] = 0.315109f;	val_dir[8596*3 + 1] = -0.945328f;	val_dir[8596*3 + 2] = -0.084029f;
 	val_dir[8597*3 + 0] = 0.340503f;	val_dir[8597*3 + 1] = -0.936382f;	val_dir[8597*3 + 2] = -0.085126f;
 	val_dir[8598*3 + 0] = 0.366291f;	val_dir[8598*3 + 1] = -0.92650f;	val_dir[8598*3 + 2] = -0.086186f;
 	val_dir[8599*3 + 0] = 0.392419f;	val_dir[8599*3 + 1] = -0.915644f;	val_dir[8599*3 + 2] = -0.087204f;
 	val_dir[8600*3 + 0] = 0.418823f;	val_dir[8600*3 + 1] = -0.903777f;	val_dir[8600*3 + 2] = -0.088173f;
 	val_dir[8601*3 + 0] = 0.445435f;	val_dir[8601*3 + 1] = -0.890871f;	val_dir[8601*3 + 2] = -0.089087f;
 	val_dir[8602*3 + 0] = 0.472178f;	val_dir[8602*3 + 1] = -0.876903f;	val_dir[8602*3 + 2] = -0.089939f;
 	val_dir[8603*3 + 0] = 0.498970f;	val_dir[8603*3 + 1] = -0.861857f;	val_dir[8603*3 + 2] = -0.090722f;
 	val_dir[8604*3 + 0] = 0.525723f;	val_dir[8604*3 + 1] = -0.845728f;	val_dir[8604*3 + 2] = -0.091430f;
 	val_dir[8605*3 + 0] = 0.552345f;	val_dir[8605*3 + 1] = -0.828517f;	val_dir[8605*3 + 2] = -0.092057f;
 	val_dir[8606*3 + 0] = 0.578741f;	val_dir[8606*3 + 1] = -0.810237f;	val_dir[8606*3 + 2] = -0.092599f;
 	val_dir[8607*3 + 0] = 0.604815f;	val_dir[8607*3 + 1] = -0.790912f;	val_dir[8607*3 + 2] = -0.093048f;
 	val_dir[8608*3 + 0] = 0.630470f;	val_dir[8608*3 + 1] = -0.770574f;	val_dir[8608*3 + 2] = -0.093403f;
 	val_dir[8609*3 + 0] = 0.655610f;	val_dir[8609*3 + 1] = -0.749269f;	val_dir[8609*3 + 2] = -0.093659f;
 	val_dir[8610*3 + 0] = 0.680144f;	val_dir[8610*3 + 1] = -0.727051f;	val_dir[8610*3 + 2] = -0.093813f;
 	val_dir[8611*3 + 0] = 0.703985f;	val_dir[8611*3 + 1] = -0.703985f;	val_dir[8611*3 + 2] = -0.093865f;
 	val_dir[8612*3 + 0] = 0.727051f;	val_dir[8612*3 + 1] = -0.680144f;	val_dir[8612*3 + 2] = -0.093813f;
 	val_dir[8613*3 + 0] = 0.749269f;	val_dir[8613*3 + 1] = -0.655610f;	val_dir[8613*3 + 2] = -0.093659f;
 	val_dir[8614*3 + 0] = 0.770574f;	val_dir[8614*3 + 1] = -0.630470f;	val_dir[8614*3 + 2] = -0.093403f;
 	val_dir[8615*3 + 0] = 0.790912f;	val_dir[8615*3 + 1] = -0.604815f;	val_dir[8615*3 + 2] = -0.093048f;
 	val_dir[8616*3 + 0] = 0.810237f;	val_dir[8616*3 + 1] = -0.578741f;	val_dir[8616*3 + 2] = -0.092599f;
 	val_dir[8617*3 + 0] = 0.828517f;	val_dir[8617*3 + 1] = -0.552345f;	val_dir[8617*3 + 2] = -0.092057f;
 	val_dir[8618*3 + 0] = 0.845728f;	val_dir[8618*3 + 1] = -0.525723f;	val_dir[8618*3 + 2] = -0.091430f;
 	val_dir[8619*3 + 0] = 0.861857f;	val_dir[8619*3 + 1] = -0.498970f;	val_dir[8619*3 + 2] = -0.090722f;
 	val_dir[8620*3 + 0] = 0.876903f;	val_dir[8620*3 + 1] = -0.472178f;	val_dir[8620*3 + 2] = -0.089939f;
 	val_dir[8621*3 + 0] = 0.890871f;	val_dir[8621*3 + 1] = -0.445435f;	val_dir[8621*3 + 2] = -0.089087f;
 	val_dir[8622*3 + 0] = 0.903777f;	val_dir[8622*3 + 1] = -0.418823f;	val_dir[8622*3 + 2] = -0.088173f;
 	val_dir[8623*3 + 0] = 0.915644f;	val_dir[8623*3 + 1] = -0.392419f;	val_dir[8623*3 + 2] = -0.087204f;
 	val_dir[8624*3 + 0] = 0.92650f;	val_dir[8624*3 + 1] = -0.366291f;	val_dir[8624*3 + 2] = -0.086186f;
 	val_dir[8625*3 + 0] = 0.936382f;	val_dir[8625*3 + 1] = -0.340503f;	val_dir[8625*3 + 2] = -0.085126f;
 	val_dir[8626*3 + 0] = 0.945328f;	val_dir[8626*3 + 1] = -0.315109f;	val_dir[8626*3 + 2] = -0.084029f;
 	val_dir[8627*3 + 0] = 0.953381f;	val_dir[8627*3 + 1] = -0.290159f;	val_dir[8627*3 + 2] = -0.082903f;
 	val_dir[8628*3 + 0] = 0.960585f;	val_dir[8628*3 + 1] = -0.265694f;	val_dir[8628*3 + 2] = -0.081752f;
 	val_dir[8629*3 + 0] = 0.966988f;	val_dir[8629*3 + 1] = -0.241747f;	val_dir[8629*3 + 2] = -0.080582f;
 	val_dir[8630*3 + 0] = 0.972636f;	val_dir[8630*3 + 1] = -0.218347f;	val_dir[8630*3 + 2] = -0.079399f;
 	val_dir[8631*3 + 0] = 0.977577f;	val_dir[8631*3 + 1] = -0.195515f;	val_dir[8631*3 + 2] = -0.078206f;
 	val_dir[8632*3 + 0] = 0.981859f;	val_dir[8632*3 + 1] = -0.173269f;	val_dir[8632*3 + 2] = -0.077009f;
 	val_dir[8633*3 + 0] = 0.985527f;	val_dir[8633*3 + 1] = -0.151620f;	val_dir[8633*3 + 2] = -0.075810f;
 	val_dir[8634*3 + 0] = 0.988627f;	val_dir[8634*3 + 1] = -0.130573f;	val_dir[8634*3 + 2] = -0.074613f;
 	val_dir[8635*3 + 0] = 0.991201f;	val_dir[8635*3 + 1] = -0.110133f;	val_dir[8635*3 + 2] = -0.073422f;
 	val_dir[8636*3 + 0] = 0.993291f;	val_dir[8636*3 + 1] = -0.090299f;	val_dir[8636*3 + 2] = -0.072239f;
 	val_dir[8637*3 + 0] = 0.994937f;	val_dir[8637*3 + 1] = -0.071067f;	val_dir[8637*3 + 2] = -0.071067f;
 	val_dir[8638*3 + 0] = 0.996175f;	val_dir[8638*3 + 1] = -0.052430f;	val_dir[8638*3 + 2] = -0.069907f;
 	val_dir[8639*3 + 0] = 0.997041f;	val_dir[8639*3 + 1] = -0.034381f;	val_dir[8639*3 + 2] = -0.068761f;
 	val_dir[8640*3 + 0] = 0.997567f;	val_dir[8640*3 + 1] = -0.016908f;	val_dir[8640*3 + 2] = -0.067632f;
 	val_dir[8641*3 + 0] = 0.997785f;	val_dir[8641*3 + 1] = 0.0f;	val_dir[8641*3 + 2] = -0.066519f;
 	val_dir[8642*3 + 0] = 0.999329f;	val_dir[8642*3 + 1] = 0.016382f;	val_dir[8642*3 + 2] = -0.032765f;
 	val_dir[8643*3 + 0] = 0.999480f;	val_dir[8643*3 + 1] = 0.032241f;	val_dir[8643*3 + 2] = 0.0f;
 	val_dir[8644*3 + 0] = -0.032765f;	val_dir[8644*3 + 1] = -0.999329f;	val_dir[8644*3 + 2] = -0.016382f;
 	val_dir[8645*3 + 0] = -0.016644f;	val_dir[8645*3 + 1] = -0.998614f;	val_dir[8645*3 + 2] = -0.049931f;
 	val_dir[8646*3 + 0] = 0.0f;	val_dir[8646*3 + 1] = -0.996428f;	val_dir[8646*3 + 2] = -0.084443f;
 	val_dir[8647*3 + 0] = 0.017175f;	val_dir[8647*3 + 1] = -0.996158f;	val_dir[8647*3 + 2] = -0.085876f;
 	val_dir[8648*3 + 0] = 0.034932f;	val_dir[8648*3 + 1] = -0.995567f;	val_dir[8648*3 + 2] = -0.087330f;
 	val_dir[8649*3 + 0] = 0.053283f;	val_dir[8649*3 + 1] = -0.994623f;	val_dir[8649*3 + 2] = -0.088806f;
 	val_dir[8650*3 + 0] = 0.072239f;	val_dir[8650*3 + 1] = -0.993291f;	val_dir[8650*3 + 2] = -0.090299f;
 	val_dir[8651*3 + 0] = 0.091809f;	val_dir[8651*3 + 1] = -0.991535f;	val_dir[8651*3 + 2] = -0.091809f;
 	val_dir[8652*3 + 0] = 0.111998f;	val_dir[8652*3 + 1] = -0.989316f;	val_dir[8652*3 + 2] = -0.093332f;
 	val_dir[8653*3 + 0] = 0.132810f;	val_dir[8653*3 + 1] = -0.986591f;	val_dir[8653*3 + 2] = -0.094865f;
 	val_dir[8654*3 + 0] = 0.154246f;	val_dir[8654*3 + 1] = -0.983318f;	val_dir[8654*3 + 2] = -0.096404f;
 	val_dir[8655*3 + 0] = 0.176301f;	val_dir[8655*3 + 1] = -0.979451f;	val_dir[8655*3 + 2] = -0.097945f;
 	val_dir[8656*3 + 0] = 0.198968f;	val_dir[8656*3 + 1] = -0.974943f;	val_dir[8656*3 + 2] = -0.099484f;
 	val_dir[8657*3 + 0] = 0.222234f;	val_dir[8657*3 + 1] = -0.969746f;	val_dir[8657*3 + 2] = -0.101015f;
 	val_dir[8658*3 + 0] = 0.246079f;	val_dir[8658*3 + 1] = -0.963811f;	val_dir[8658*3 + 2] = -0.102533f;
 	val_dir[8659*3 + 0] = 0.270481f;	val_dir[8659*3 + 1] = -0.957088f;	val_dir[8659*3 + 2] = -0.104031f;
 	val_dir[8660*3 + 0] = 0.295409f;	val_dir[8660*3 + 1] = -0.949528f;	val_dir[8660*3 + 2] = -0.105503f;
 	val_dir[8661*3 + 0] = 0.320824f;	val_dir[8661*3 + 1] = -0.941082f;	val_dir[8661*3 + 2] = -0.106941f;
 	val_dir[8662*3 + 0] = 0.346681f;	val_dir[8662*3 + 1] = -0.931705f;	val_dir[8662*3 + 2] = -0.108338f;
 	val_dir[8663*3 + 0] = 0.372929f;	val_dir[8663*3 + 1] = -0.921354f;	val_dir[8663*3 + 2] = -0.109685f;
 	val_dir[8664*3 + 0] = 0.399507f;	val_dir[8664*3 + 1] = -0.909988f;	val_dir[8664*3 + 2] = -0.110974f;
 	val_dir[8665*3 + 0] = 0.426348f;	val_dir[8665*3 + 1] = -0.897574f;	val_dir[8665*3 + 2] = -0.112197f;
 	val_dir[8666*3 + 0] = 0.453376f;	val_dir[8666*3 + 1] = -0.884083f;	val_dir[8666*3 + 2] = -0.113344f;
 	val_dir[8667*3 + 0] = 0.480510f;	val_dir[8667*3 + 1] = -0.869495f;	val_dir[8667*3 + 2] = -0.114407f;
 	val_dir[8668*3 + 0] = 0.507662f;	val_dir[8668*3 + 1] = -0.853796f;	val_dir[8668*3 + 2] = -0.115378f;
 	val_dir[8669*3 + 0] = 0.534739f;	val_dir[8669*3 + 1] = -0.836983f;	val_dir[8669*3 + 2] = -0.116248f;
 	val_dir[8670*3 + 0] = 0.561644f;	val_dir[8670*3 + 1] = -0.819064f;	val_dir[8670*3 + 2] = -0.117009f;
 	val_dir[8671*3 + 0] = 0.588276f;	val_dir[8671*3 + 1] = -0.800055f;	val_dir[8671*3 + 2] = -0.117655f;
 	val_dir[8672*3 + 0] = 0.614535f;	val_dir[8672*3 + 1] = -0.779987f;	val_dir[8672*3 + 2] = -0.118180f;
 	val_dir[8673*3 + 0] = 0.640321f;	val_dir[8673*3 + 1] = -0.758899f;	val_dir[8673*3 + 2] = -0.118578f;
 	val_dir[8674*3 + 0] = 0.665536f;	val_dir[8674*3 + 1] = -0.736843f;	val_dir[8674*3 + 2] = -0.118846f;
 	val_dir[8675*3 + 0] = 0.690085f;	val_dir[8675*3 + 1] = -0.713881f;	val_dir[8675*3 + 2] = -0.118980f;
 	val_dir[8676*3 + 0] = 0.713881f;	val_dir[8676*3 + 1] = -0.690085f;	val_dir[8676*3 + 2] = -0.118980f;
 	val_dir[8677*3 + 0] = 0.736843f;	val_dir[8677*3 + 1] = -0.665536f;	val_dir[8677*3 + 2] = -0.118846f;
 	val_dir[8678*3 + 0] = 0.758899f;	val_dir[8678*3 + 1] = -0.640321f;	val_dir[8678*3 + 2] = -0.118578f;
 	val_dir[8679*3 + 0] = 0.779987f;	val_dir[8679*3 + 1] = -0.614535f;	val_dir[8679*3 + 2] = -0.118180f;
 	val_dir[8680*3 + 0] = 0.800055f;	val_dir[8680*3 + 1] = -0.588276f;	val_dir[8680*3 + 2] = -0.117655f;
 	val_dir[8681*3 + 0] = 0.819064f;	val_dir[8681*3 + 1] = -0.561644f;	val_dir[8681*3 + 2] = -0.117009f;
 	val_dir[8682*3 + 0] = 0.836983f;	val_dir[8682*3 + 1] = -0.534739f;	val_dir[8682*3 + 2] = -0.116248f;
 	val_dir[8683*3 + 0] = 0.853796f;	val_dir[8683*3 + 1] = -0.507662f;	val_dir[8683*3 + 2] = -0.115378f;
 	val_dir[8684*3 + 0] = 0.869495f;	val_dir[8684*3 + 1] = -0.480510f;	val_dir[8684*3 + 2] = -0.114407f;
 	val_dir[8685*3 + 0] = 0.884083f;	val_dir[8685*3 + 1] = -0.453376f;	val_dir[8685*3 + 2] = -0.113344f;
 	val_dir[8686*3 + 0] = 0.897574f;	val_dir[8686*3 + 1] = -0.426348f;	val_dir[8686*3 + 2] = -0.112197f;
 	val_dir[8687*3 + 0] = 0.909988f;	val_dir[8687*3 + 1] = -0.399507f;	val_dir[8687*3 + 2] = -0.110974f;
 	val_dir[8688*3 + 0] = 0.921354f;	val_dir[8688*3 + 1] = -0.372929f;	val_dir[8688*3 + 2] = -0.109685f;
 	val_dir[8689*3 + 0] = 0.931705f;	val_dir[8689*3 + 1] = -0.346681f;	val_dir[8689*3 + 2] = -0.108338f;
 	val_dir[8690*3 + 0] = 0.941082f;	val_dir[8690*3 + 1] = -0.320824f;	val_dir[8690*3 + 2] = -0.106941f;
 	val_dir[8691*3 + 0] = 0.949528f;	val_dir[8691*3 + 1] = -0.295409f;	val_dir[8691*3 + 2] = -0.105503f;
 	val_dir[8692*3 + 0] = 0.957088f;	val_dir[8692*3 + 1] = -0.270481f;	val_dir[8692*3 + 2] = -0.104031f;
 	val_dir[8693*3 + 0] = 0.963811f;	val_dir[8693*3 + 1] = -0.246079f;	val_dir[8693*3 + 2] = -0.102533f;
 	val_dir[8694*3 + 0] = 0.969746f;	val_dir[8694*3 + 1] = -0.222234f;	val_dir[8694*3 + 2] = -0.101015f;
 	val_dir[8695*3 + 0] = 0.974943f;	val_dir[8695*3 + 1] = -0.198968f;	val_dir[8695*3 + 2] = -0.099484f;
 	val_dir[8696*3 + 0] = 0.979451f;	val_dir[8696*3 + 1] = -0.176301f;	val_dir[8696*3 + 2] = -0.097945f;
 	val_dir[8697*3 + 0] = 0.983318f;	val_dir[8697*3 + 1] = -0.154246f;	val_dir[8697*3 + 2] = -0.096404f;
 	val_dir[8698*3 + 0] = 0.986591f;	val_dir[8698*3 + 1] = -0.132810f;	val_dir[8698*3 + 2] = -0.094865f;
 	val_dir[8699*3 + 0] = 0.989316f;	val_dir[8699*3 + 1] = -0.111998f;	val_dir[8699*3 + 2] = -0.093332f;
 	val_dir[8700*3 + 0] = 0.991535f;	val_dir[8700*3 + 1] = -0.091809f;	val_dir[8700*3 + 2] = -0.091809f;
 	val_dir[8701*3 + 0] = 0.993291f;	val_dir[8701*3 + 1] = -0.072239f;	val_dir[8701*3 + 2] = -0.090299f;
 	val_dir[8702*3 + 0] = 0.994623f;	val_dir[8702*3 + 1] = -0.053283f;	val_dir[8702*3 + 2] = -0.088806f;
 	val_dir[8703*3 + 0] = 0.995567f;	val_dir[8703*3 + 1] = -0.034932f;	val_dir[8703*3 + 2] = -0.087330f;
 	val_dir[8704*3 + 0] = 0.996158f;	val_dir[8704*3 + 1] = -0.017175f;	val_dir[8704*3 + 2] = -0.085876f;
 	val_dir[8705*3 + 0] = 0.996428f;	val_dir[8705*3 + 1] = 0.0f;	val_dir[8705*3 + 2] = -0.084443f;
 	val_dir[8706*3 + 0] = 0.998614f;	val_dir[8706*3 + 1] = 0.016644f;	val_dir[8706*3 + 2] = -0.049931f;
 	val_dir[8707*3 + 0] = 0.999329f;	val_dir[8707*3 + 1] = 0.032765f;	val_dir[8707*3 + 2] = -0.016382f;
 	val_dir[8708*3 + 0] = -0.049121f;	val_dir[8708*3 + 1] = -0.998793f;	val_dir[8708*3 + 2] = 0.0f;
 	val_dir[8709*3 + 0] = -0.033296f;	val_dir[8709*3 + 1] = -0.998891f;	val_dir[8709*3 + 2] = -0.033296f;
 	val_dir[8710*3 + 0] = -0.016908f;	val_dir[8710*3 + 1] = -0.997567f;	val_dir[8710*3 + 2] = -0.067632f;
 	val_dir[8711*3 + 0] = 0.0f;	val_dir[8711*3 + 1] = -0.994692f;	val_dir[8711*3 + 2] = -0.102899f;
 	val_dir[8712*3 + 0] = 0.017445f;	val_dir[8712*3 + 1] = -0.994354f;	val_dir[8712*3 + 2] = -0.104669f;
 	val_dir[8713*3 + 0] = 0.035489f;	val_dir[8713*3 + 1] = -0.993683f;	val_dir[8713*3 + 2] = -0.106466f;
 	val_dir[8714*3 + 0] = 0.054144f;	val_dir[8714*3 + 1] = -0.992644f;	val_dir[8714*3 + 2] = -0.108288f;
 	val_dir[8715*3 + 0] = 0.073422f;	val_dir[8715*3 + 1] = -0.991201f;	val_dir[8715*3 + 2] = -0.110133f;
 	val_dir[8716*3 + 0] = 0.093332f;	val_dir[8716*3 + 1] = -0.989316f;	val_dir[8716*3 + 2] = -0.111998f;
 	val_dir[8717*3 + 0] = 0.113878f;	val_dir[8717*3 + 1] = -0.986947f;	val_dir[8717*3 + 2] = -0.113878f;
 	val_dir[8718*3 + 0] = 0.135066f;	val_dir[8718*3 + 1] = -0.984050f;	val_dir[8718*3 + 2] = -0.115771f;
 	val_dir[8719*3 + 0] = 0.156893f;	val_dir[8719*3 + 1] = -0.980581f;	val_dir[8719*3 + 2] = -0.117670f;
 	val_dir[8720*3 + 0] = 0.179355f;	val_dir[8720*3 + 1] = -0.976491f;	val_dir[8720*3 + 2] = -0.119570f;
 	val_dir[8721*3 + 0] = 0.202444f;	val_dir[8721*3 + 1] = -0.971732f;	val_dir[8721*3 + 2] = -0.121466f;
 	val_dir[8722*3 + 0] = 0.226144f;	val_dir[8722*3 + 1] = -0.966252f;	val_dir[8722*3 + 2] = -0.123351f;
 	val_dir[8723*3 + 0] = 0.250435f;	val_dir[8723*3 + 1] = -0.960001f;	val_dir[8723*3 + 2] = -0.125218f;
 	val_dir[8724*3 + 0] = 0.275290f;	val_dir[8724*3 + 1] = -0.952928f;	val_dir[8724*3 + 2] = -0.127057f;
 	val_dir[8725*3 + 0] = 0.300676f;	val_dir[8725*3 + 1] = -0.944981f;	val_dir[8725*3 + 2] = -0.128861f;
 	val_dir[8726*3 + 0] = 0.326550f;	val_dir[8726*3 + 1] = -0.936111f;	val_dir[8726*3 + 2] = -0.130620f;
 	val_dir[8727*3 + 0] = 0.352865f;	val_dir[8727*3 + 1] = -0.926270f;	val_dir[8727*3 + 2] = -0.132324f;
 	val_dir[8728*3 + 0] = 0.379563f;	val_dir[8728*3 + 1] = -0.915416f;	val_dir[8728*3 + 2] = -0.133963f;
 	val_dir[8729*3 + 0] = 0.406579f;	val_dir[8729*3 + 1] = -0.903508f;	val_dir[8729*3 + 2] = -0.135526f;
 	val_dir[8730*3 + 0] = 0.433840f;	val_dir[8730*3 + 1] = -0.890513f;	val_dir[8730*3 + 2] = -0.137002f;
 	val_dir[8731*3 + 0] = 0.461266f;	val_dir[8731*3 + 1] = -0.876405f;	val_dir[8731*3 + 2] = -0.138380f;
 	val_dir[8732*3 + 0] = 0.488769f;	val_dir[8732*3 + 1] = -0.861164f;	val_dir[8732*3 + 2] = -0.139648f;
 	val_dir[8733*3 + 0] = 0.516256f;	val_dir[8733*3 + 1] = -0.844782f;	val_dir[8733*3 + 2] = -0.140797f;
 	val_dir[8734*3 + 0] = 0.543627f;	val_dir[8734*3 + 1] = -0.827259f;	val_dir[8734*3 + 2] = -0.141816f;
 	val_dir[8735*3 + 0] = 0.570782f;	val_dir[8735*3 + 1] = -0.808608f;	val_dir[8735*3 + 2] = -0.142695f;
 	val_dir[8736*3 + 0] = 0.597614f;	val_dir[8736*3 + 1] = -0.788851f;	val_dir[8736*3 + 2] = -0.143427f;
 	val_dir[8737*3 + 0] = 0.624020f;	val_dir[8737*3 + 1] = -0.768025f;	val_dir[8737*3 + 2] = -0.144005f;
 	val_dir[8738*3 + 0] = 0.649895f;	val_dir[8738*3 + 1] = -0.746176f;	val_dir[8738*3 + 2] = -0.144421f;
 	val_dir[8739*3 + 0] = 0.675140f;	val_dir[8739*3 + 1] = -0.723364f;	val_dir[8739*3 + 2] = -0.144673f;
 	val_dir[8740*3 + 0] = 0.699659f;	val_dir[8740*3 + 1] = -0.699659f;	val_dir[8740*3 + 2] = -0.144757f;
 	val_dir[8741*3 + 0] = 0.723364f;	val_dir[8741*3 + 1] = -0.675140f;	val_dir[8741*3 + 2] = -0.144673f;
 	val_dir[8742*3 + 0] = 0.746176f;	val_dir[8742*3 + 1] = -0.649895f;	val_dir[8742*3 + 2] = -0.144421f;
 	val_dir[8743*3 + 0] = 0.768025f;	val_dir[8743*3 + 1] = -0.624020f;	val_dir[8743*3 + 2] = -0.144005f;
 	val_dir[8744*3 + 0] = 0.788851f;	val_dir[8744*3 + 1] = -0.597614f;	val_dir[8744*3 + 2] = -0.143427f;
 	val_dir[8745*3 + 0] = 0.808608f;	val_dir[8745*3 + 1] = -0.570782f;	val_dir[8745*3 + 2] = -0.142695f;
 	val_dir[8746*3 + 0] = 0.827259f;	val_dir[8746*3 + 1] = -0.543627f;	val_dir[8746*3 + 2] = -0.141816f;
 	val_dir[8747*3 + 0] = 0.844782f;	val_dir[8747*3 + 1] = -0.516256f;	val_dir[8747*3 + 2] = -0.140797f;
 	val_dir[8748*3 + 0] = 0.861164f;	val_dir[8748*3 + 1] = -0.488769f;	val_dir[8748*3 + 2] = -0.139648f;
 	val_dir[8749*3 + 0] = 0.876405f;	val_dir[8749*3 + 1] = -0.461266f;	val_dir[8749*3 + 2] = -0.138380f;
 	val_dir[8750*3 + 0] = 0.890513f;	val_dir[8750*3 + 1] = -0.433840f;	val_dir[8750*3 + 2] = -0.137002f;
 	val_dir[8751*3 + 0] = 0.903508f;	val_dir[8751*3 + 1] = -0.406579f;	val_dir[8751*3 + 2] = -0.135526f;
 	val_dir[8752*3 + 0] = 0.915416f;	val_dir[8752*3 + 1] = -0.379563f;	val_dir[8752*3 + 2] = -0.133963f;
 	val_dir[8753*3 + 0] = 0.926270f;	val_dir[8753*3 + 1] = -0.352865f;	val_dir[8753*3 + 2] = -0.132324f;
 	val_dir[8754*3 + 0] = 0.936111f;	val_dir[8754*3 + 1] = -0.326550f;	val_dir[8754*3 + 2] = -0.130620f;
 	val_dir[8755*3 + 0] = 0.944981f;	val_dir[8755*3 + 1] = -0.300676f;	val_dir[8755*3 + 2] = -0.128861f;
 	val_dir[8756*3 + 0] = 0.952928f;	val_dir[8756*3 + 1] = -0.275290f;	val_dir[8756*3 + 2] = -0.127057f;
 	val_dir[8757*3 + 0] = 0.960001f;	val_dir[8757*3 + 1] = -0.250435f;	val_dir[8757*3 + 2] = -0.125218f;
 	val_dir[8758*3 + 0] = 0.966252f;	val_dir[8758*3 + 1] = -0.226144f;	val_dir[8758*3 + 2] = -0.123351f;
 	val_dir[8759*3 + 0] = 0.971732f;	val_dir[8759*3 + 1] = -0.202444f;	val_dir[8759*3 + 2] = -0.121466f;
 	val_dir[8760*3 + 0] = 0.976491f;	val_dir[8760*3 + 1] = -0.179355f;	val_dir[8760*3 + 2] = -0.119570f;
 	val_dir[8761*3 + 0] = 0.980581f;	val_dir[8761*3 + 1] = -0.156893f;	val_dir[8761*3 + 2] = -0.117670f;
 	val_dir[8762*3 + 0] = 0.984050f;	val_dir[8762*3 + 1] = -0.135066f;	val_dir[8762*3 + 2] = -0.115771f;
 	val_dir[8763*3 + 0] = 0.986947f;	val_dir[8763*3 + 1] = -0.113878f;	val_dir[8763*3 + 2] = -0.113878f;
 	val_dir[8764*3 + 0] = 0.989316f;	val_dir[8764*3 + 1] = -0.093332f;	val_dir[8764*3 + 2] = -0.111998f;
 	val_dir[8765*3 + 0] = 0.991201f;	val_dir[8765*3 + 1] = -0.073422f;	val_dir[8765*3 + 2] = -0.110133f;
 	val_dir[8766*3 + 0] = 0.992644f;	val_dir[8766*3 + 1] = -0.054144f;	val_dir[8766*3 + 2] = -0.108288f;
 	val_dir[8767*3 + 0] = 0.993683f;	val_dir[8767*3 + 1] = -0.035489f;	val_dir[8767*3 + 2] = -0.106466f;
 	val_dir[8768*3 + 0] = 0.994354f;	val_dir[8768*3 + 1] = -0.017445f;	val_dir[8768*3 + 2] = -0.104669f;
 	val_dir[8769*3 + 0] = 0.994692f;	val_dir[8769*3 + 1] = 0.0f;	val_dir[8769*3 + 2] = -0.102899f;
 	val_dir[8770*3 + 0] = 0.997567f;	val_dir[8770*3 + 1] = 0.016908f;	val_dir[8770*3 + 2] = -0.067632f;
 	val_dir[8771*3 + 0] = 0.998891f;	val_dir[8771*3 + 1] = 0.033296f;	val_dir[8771*3 + 2] = -0.033296f;
 	val_dir[8772*3 + 0] = 0.998793f;	val_dir[8772*3 + 1] = 0.049121f;	val_dir[8772*3 + 2] = 0.0f;
 	val_dir[8773*3 + 0] = -0.049931f;	val_dir[8773*3 + 1] = -0.998614f;	val_dir[8773*3 + 2] = -0.016644f;
 	val_dir[8774*3 + 0] = -0.033835f;	val_dir[8774*3 + 1] = -0.998138f;	val_dir[8774*3 + 2] = -0.050753f;
 	val_dir[8775*3 + 0] = -0.017175f;	val_dir[8775*3 + 1] = -0.996158f;	val_dir[8775*3 + 2] = -0.085876f;
 	val_dir[8776*3 + 0] = 0.0f;	val_dir[8776*3 + 1] = -0.992543f;	val_dir[8776*3 + 2] = -0.121891f;
 	val_dir[8777*3 + 0] = 0.017716f;	val_dir[8777*3 + 1] = -0.992122f;	val_dir[8777*3 + 2] = -0.124015f;
 	val_dir[8778*3 + 0] = 0.036049f;	val_dir[8778*3 + 1] = -0.991353f;	val_dir[8778*3 + 2] = -0.126172f;
 	val_dir[8779*3 + 0] = 0.055011f;	val_dir[8779*3 + 1] = -0.990201f;	val_dir[8779*3 + 2] = -0.128359f;
 	val_dir[8780*3 + 0] = 0.074613f;	val_dir[8780*3 + 1] = -0.988627f;	val_dir[8780*3 + 2] = -0.130573f;
 	val_dir[8781*3 + 0] = 0.094865f;	val_dir[8781*3 + 1] = -0.986591f;	val_dir[8781*3 + 2] = -0.132810f;
 	val_dir[8782*3 + 0] = 0.115771f;	val_dir[8782*3 + 1] = -0.984050f;	val_dir[8782*3 + 2] = -0.135066f;
 	val_dir[8783*3 + 0] = 0.137334f;	val_dir[8783*3 + 1] = -0.980958f;	val_dir[8783*3 + 2] = -0.137334f;
 	val_dir[8784*3 + 0] = 0.159554f;	val_dir[8784*3 + 1] = -0.977267f;	val_dir[8784*3 + 2] = -0.139610f;
 	val_dir[8785*3 + 0] = 0.182424f;	val_dir[8785*3 + 1] = -0.972929f;	val_dir[8785*3 + 2] = -0.141885f;
 	val_dir[8786*3 + 0] = 0.205934f;	val_dir[8786*3 + 1] = -0.967890f;	val_dir[8786*3 + 2] = -0.144154f;
 	val_dir[8787*3 + 0] = 0.230067f;	val_dir[8787*3 + 1] = -0.962099f;	val_dir[8787*3 + 2] = -0.146406f;
 	val_dir[8788*3 + 0] = 0.254801f;	val_dir[8788*3 + 1] = -0.955502f;	val_dir[8788*3 + 2] = -0.148634f;
 	val_dir[8789*3 + 0] = 0.280105f;	val_dir[8789*3 + 1] = -0.948047f;	val_dir[8789*3 + 2] = -0.150826f;
 	val_dir[8790*3 + 0] = 0.305942f;	val_dir[8790*3 + 1] = -0.939680f;	val_dir[8790*3 + 2] = -0.152971f;
 	val_dir[8791*3 + 0] = 0.332269f;	val_dir[8791*3 + 1] = -0.930352f;	val_dir[8791*3 + 2] = -0.155059f;
 	val_dir[8792*3 + 0] = 0.359030f;	val_dir[8792*3 + 1] = -0.920014f;	val_dir[8792*3 + 2] = -0.157075f;
 	val_dir[8793*3 + 0] = 0.386164f;	val_dir[8793*3 + 1] = -0.908622f;	val_dir[8793*3 + 2] = -0.159009f;
 	val_dir[8794*3 + 0] = 0.413602f;	val_dir[8794*3 + 1] = -0.896137f;	val_dir[8794*3 + 2] = -0.160845f;
 	val_dir[8795*3 + 0] = 0.441264f;	val_dir[8795*3 + 1] = -0.882528f;	val_dir[8795*3 + 2] = -0.162571f;
 	val_dir[8796*3 + 0] = 0.469065f;	val_dir[8796*3 + 1] = -0.867770f;	val_dir[8796*3 + 2] = -0.164173f;
 	val_dir[8797*3 + 0] = 0.496911f;	val_dir[8797*3 + 1] = -0.851847f;	val_dir[8797*3 + 2] = -0.165637f;
 	val_dir[8798*3 + 0] = 0.524703f;	val_dir[8798*3 + 1] = -0.834754f;	val_dir[8798*3 + 2] = -0.166951f;
 	val_dir[8799*3 + 0] = 0.552336f;	val_dir[8799*3 + 1] = -0.816497f;	val_dir[8799*3 + 2] = -0.168102f;
 	val_dir[8800*3 + 0] = 0.579703f;	val_dir[8800*3 + 1] = -0.797092f;	val_dir[8800*3 + 2] = -0.169080f;
 	val_dir[8801*3 + 0] = 0.606696f;	val_dir[8801*3 + 1] = -0.776571f;	val_dir[8801*3 + 2] = -0.169875f;
 	val_dir[8802*3 + 0] = 0.633205f;	val_dir[8802*3 + 1] = -0.754976f;	val_dir[8802*3 + 2] = -0.170478f;
 	val_dir[8803*3 + 0] = 0.659125f;	val_dir[8803*3 + 1] = -0.732361f;	val_dir[8803*3 + 2] = -0.170884f;
 	val_dir[8804*3 + 0] = 0.684353f;	val_dir[8804*3 + 1] = -0.708794f;	val_dir[8804*3 + 2] = -0.171088f;
 	val_dir[8805*3 + 0] = 0.708794f;	val_dir[8805*3 + 1] = -0.684353f;	val_dir[8805*3 + 2] = -0.171088f;
 	val_dir[8806*3 + 0] = 0.732361f;	val_dir[8806*3 + 1] = -0.659125f;	val_dir[8806*3 + 2] = -0.170884f;
 	val_dir[8807*3 + 0] = 0.754976f;	val_dir[8807*3 + 1] = -0.633205f;	val_dir[8807*3 + 2] = -0.170478f;
 	val_dir[8808*3 + 0] = 0.776571f;	val_dir[8808*3 + 1] = -0.606696f;	val_dir[8808*3 + 2] = -0.169875f;
 	val_dir[8809*3 + 0] = 0.797092f;	val_dir[8809*3 + 1] = -0.579703f;	val_dir[8809*3 + 2] = -0.169080f;
 	val_dir[8810*3 + 0] = 0.816497f;	val_dir[8810*3 + 1] = -0.552336f;	val_dir[8810*3 + 2] = -0.168102f;
 	val_dir[8811*3 + 0] = 0.834754f;	val_dir[8811*3 + 1] = -0.524703f;	val_dir[8811*3 + 2] = -0.166951f;
 	val_dir[8812*3 + 0] = 0.851847f;	val_dir[8812*3 + 1] = -0.496911f;	val_dir[8812*3 + 2] = -0.165637f;
 	val_dir[8813*3 + 0] = 0.867770f;	val_dir[8813*3 + 1] = -0.469065f;	val_dir[8813*3 + 2] = -0.164173f;
 	val_dir[8814*3 + 0] = 0.882528f;	val_dir[8814*3 + 1] = -0.441264f;	val_dir[8814*3 + 2] = -0.162571f;
 	val_dir[8815*3 + 0] = 0.896137f;	val_dir[8815*3 + 1] = -0.413602f;	val_dir[8815*3 + 2] = -0.160845f;
 	val_dir[8816*3 + 0] = 0.908622f;	val_dir[8816*3 + 1] = -0.386164f;	val_dir[8816*3 + 2] = -0.159009f;
 	val_dir[8817*3 + 0] = 0.920014f;	val_dir[8817*3 + 1] = -0.359030f;	val_dir[8817*3 + 2] = -0.157075f;
 	val_dir[8818*3 + 0] = 0.930352f;	val_dir[8818*3 + 1] = -0.332269f;	val_dir[8818*3 + 2] = -0.155059f;
 	val_dir[8819*3 + 0] = 0.939680f;	val_dir[8819*3 + 1] = -0.305942f;	val_dir[8819*3 + 2] = -0.152971f;
 	val_dir[8820*3 + 0] = 0.948047f;	val_dir[8820*3 + 1] = -0.280105f;	val_dir[8820*3 + 2] = -0.150826f;
 	val_dir[8821*3 + 0] = 0.955502f;	val_dir[8821*3 + 1] = -0.254801f;	val_dir[8821*3 + 2] = -0.148634f;
 	val_dir[8822*3 + 0] = 0.962099f;	val_dir[8822*3 + 1] = -0.230067f;	val_dir[8822*3 + 2] = -0.146406f;
 	val_dir[8823*3 + 0] = 0.967890f;	val_dir[8823*3 + 1] = -0.205934f;	val_dir[8823*3 + 2] = -0.144154f;
 	val_dir[8824*3 + 0] = 0.972929f;	val_dir[8824*3 + 1] = -0.182424f;	val_dir[8824*3 + 2] = -0.141885f;
 	val_dir[8825*3 + 0] = 0.977267f;	val_dir[8825*3 + 1] = -0.159554f;	val_dir[8825*3 + 2] = -0.139610f;
 	val_dir[8826*3 + 0] = 0.980958f;	val_dir[8826*3 + 1] = -0.137334f;	val_dir[8826*3 + 2] = -0.137334f;
 	val_dir[8827*3 + 0] = 0.984050f;	val_dir[8827*3 + 1] = -0.115771f;	val_dir[8827*3 + 2] = -0.135066f;
 	val_dir[8828*3 + 0] = 0.986591f;	val_dir[8828*3 + 1] = -0.094865f;	val_dir[8828*3 + 2] = -0.132810f;
 	val_dir[8829*3 + 0] = 0.988627f;	val_dir[8829*3 + 1] = -0.074613f;	val_dir[8829*3 + 2] = -0.130573f;
 	val_dir[8830*3 + 0] = 0.990201f;	val_dir[8830*3 + 1] = -0.055011f;	val_dir[8830*3 + 2] = -0.128359f;
 	val_dir[8831*3 + 0] = 0.991353f;	val_dir[8831*3 + 1] = -0.036049f;	val_dir[8831*3 + 2] = -0.126172f;
 	val_dir[8832*3 + 0] = 0.992122f;	val_dir[8832*3 + 1] = -0.017716f;	val_dir[8832*3 + 2] = -0.124015f;
 	val_dir[8833*3 + 0] = 0.992543f;	val_dir[8833*3 + 1] = 0.0f;	val_dir[8833*3 + 2] = -0.121891f;
 	val_dir[8834*3 + 0] = 0.996158f;	val_dir[8834*3 + 1] = 0.017175f;	val_dir[8834*3 + 2] = -0.085876f;
 	val_dir[8835*3 + 0] = 0.998138f;	val_dir[8835*3 + 1] = 0.033835f;	val_dir[8835*3 + 2] = -0.050753f;
 	val_dir[8836*3 + 0] = 0.998614f;	val_dir[8836*3 + 1] = 0.049931f;	val_dir[8836*3 + 2] = -0.016644f;
 	val_dir[8837*3 + 0] = -0.066519f;	val_dir[8837*3 + 1] = -0.997785f;	val_dir[8837*3 + 2] = 0.0f;
 	val_dir[8838*3 + 0] = -0.050753f;	val_dir[8838*3 + 1] = -0.998138f;	val_dir[8838*3 + 2] = -0.033835f;
 	val_dir[8839*3 + 0] = -0.034381f;	val_dir[8839*3 + 1] = -0.997041f;	val_dir[8839*3 + 2] = -0.068761f;
 	val_dir[8840*3 + 0] = -0.017445f;	val_dir[8840*3 + 1] = -0.994354f;	val_dir[8840*3 + 2] = -0.104669f;
 	val_dir[8841*3 + 0] = 0.0f;	val_dir[8841*3 + 1] = -0.989949f;	val_dir[8841*3 + 2] = -0.141421f;
 	val_dir[8842*3 + 0] = 0.017990f;	val_dir[8842*3 + 1] = -0.989426f;	val_dir[8842*3 + 2] = -0.143917f;
 	val_dir[8843*3 + 0] = 0.036613f;	val_dir[8843*3 + 1] = -0.988540f;	val_dir[8843*3 + 2] = -0.146450f;
 	val_dir[8844*3 + 0] = 0.055882f;	val_dir[8844*3 + 1] = -0.987254f;	val_dir[8844*3 + 2] = -0.149019f;
 	val_dir[8845*3 + 0] = 0.075810f;	val_dir[8845*3 + 1] = -0.985527f;	val_dir[8845*3 + 2] = -0.151620f;
 	val_dir[8846*3 + 0] = 0.096404f;	val_dir[8846*3 + 1] = -0.983318f;	val_dir[8846*3 + 2] = -0.154246f;
 	val_dir[8847*3 + 0] = 0.117670f;	val_dir[8847*3 + 1] = -0.980581f;	val_dir[8847*3 + 2] = -0.156893f;
 	val_dir[8848*3 + 0] = 0.139610f;	val_dir[8848*3 + 1] = -0.977267f;	val_dir[8848*3 + 2] = -0.159554f;
 	val_dir[8849*3 + 0] = 0.162221f;	val_dir[8849*3 + 1] = -0.973329f;	val_dir[8849*3 + 2] = -0.162221f;
 	val_dir[8850*3 + 0] = 0.185498f;	val_dir[8850*3 + 1] = -0.968712f;	val_dir[8850*3 + 2] = -0.164887f;
 	val_dir[8851*3 + 0] = 0.209427f;	val_dir[8851*3 + 1] = -0.963364f;	val_dir[8851*3 + 2] = -0.167542f;
 	val_dir[8852*3 + 0] = 0.233990f;	val_dir[8852*3 + 1] = -0.957230f;	val_dir[8852*3 + 2] = -0.170174f;
 	val_dir[8853*3 + 0] = 0.259161f;	val_dir[8853*3 + 1] = -0.950255f;	val_dir[8853*3 + 2] = -0.172774f;
 	val_dir[8854*3 + 0] = 0.284907f;	val_dir[8854*3 + 1] = -0.942384f;	val_dir[8854*3 + 2] = -0.175327f;
 	val_dir[8855*3 + 0] = 0.311188f;	val_dir[8855*3 + 1] = -0.933564f;	val_dir[8855*3 + 2] = -0.177822f;
 	val_dir[8856*3 + 0] = 0.337954f;	val_dir[8856*3 + 1] = -0.923742f;	val_dir[8856*3 + 2] = -0.180242f;
 	val_dir[8857*3 + 0] = 0.365148f;	val_dir[8857*3 + 1] = -0.912871f;	val_dir[8857*3 + 2] = -0.182574f;
 	val_dir[8858*3 + 0] = 0.392703f;	val_dir[8858*3 + 1] = -0.900907f;	val_dir[8858*3 + 2] = -0.184801f;
 	val_dir[8859*3 + 0] = 0.420542f;	val_dir[8859*3 + 1] = -0.887812f;	val_dir[8859*3 + 2] = -0.186908f;
 	val_dir[8860*3 + 0] = 0.448583f;	val_dir[8860*3 + 1] = -0.873555f;	val_dir[8860*3 + 2] = -0.188877f;
 	val_dir[8861*3 + 0] = 0.476731f;	val_dir[8861*3 + 1] = -0.858116f;	val_dir[8861*3 + 2] = -0.190693f;
 	val_dir[8862*3 + 0] = 0.504889f;	val_dir[8862*3 + 1] = -0.841482f;	val_dir[8862*3 + 2] = -0.192339f;
 	val_dir[8863*3 + 0] = 0.532952f;	val_dir[8863*3 + 1] = -0.823653f;	val_dir[8863*3 + 2] = -0.193801f;
 	val_dir[8864*3 + 0] = 0.560809f;	val_dir[8864*3 + 1] = -0.804639f;	val_dir[8864*3 + 2] = -0.195064f;
 	val_dir[8865*3 + 0] = 0.588348f;	val_dir[8865*3 + 1] = -0.784465f;	val_dir[8865*3 + 2] = -0.196116f;
 	val_dir[8866*3 + 0] = 0.615457f;	val_dir[8866*3 + 1] = -0.763167f;	val_dir[8866*3 + 2] = -0.196946f;
 	val_dir[8867*3 + 0] = 0.642024f;	val_dir[8867*3 + 1] = -0.740797f;	val_dir[8867*3 + 2] = -0.197546f;
 	val_dir[8868*3 + 0] = 0.667940f;	val_dir[8868*3 + 1] = -0.717418f;	val_dir[8868*3 + 2] = -0.197908f;
 	val_dir[8869*3 + 0] = 0.693103f;	val_dir[8869*3 + 1] = -0.693103f;	val_dir[8869*3 + 2] = -0.198030f;
 	val_dir[8870*3 + 0] = 0.717418f;	val_dir[8870*3 + 1] = -0.667940f;	val_dir[8870*3 + 2] = -0.197908f;
 	val_dir[8871*3 + 0] = 0.740797f;	val_dir[8871*3 + 1] = -0.642024f;	val_dir[8871*3 + 2] = -0.197546f;
 	val_dir[8872*3 + 0] = 0.763167f;	val_dir[8872*3 + 1] = -0.615457f;	val_dir[8872*3 + 2] = -0.196946f;
 	val_dir[8873*3 + 0] = 0.784465f;	val_dir[8873*3 + 1] = -0.588348f;	val_dir[8873*3 + 2] = -0.196116f;
 	val_dir[8874*3 + 0] = 0.804639f;	val_dir[8874*3 + 1] = -0.560809f;	val_dir[8874*3 + 2] = -0.195064f;
 	val_dir[8875*3 + 0] = 0.823653f;	val_dir[8875*3 + 1] = -0.532952f;	val_dir[8875*3 + 2] = -0.193801f;
 	val_dir[8876*3 + 0] = 0.841482f;	val_dir[8876*3 + 1] = -0.504889f;	val_dir[8876*3 + 2] = -0.192339f;
 	val_dir[8877*3 + 0] = 0.858116f;	val_dir[8877*3 + 1] = -0.476731f;	val_dir[8877*3 + 2] = -0.190693f;
 	val_dir[8878*3 + 0] = 0.873555f;	val_dir[8878*3 + 1] = -0.448583f;	val_dir[8878*3 + 2] = -0.188877f;
 	val_dir[8879*3 + 0] = 0.887812f;	val_dir[8879*3 + 1] = -0.420542f;	val_dir[8879*3 + 2] = -0.186908f;
 	val_dir[8880*3 + 0] = 0.900907f;	val_dir[8880*3 + 1] = -0.392703f;	val_dir[8880*3 + 2] = -0.184801f;
 	val_dir[8881*3 + 0] = 0.912871f;	val_dir[8881*3 + 1] = -0.365148f;	val_dir[8881*3 + 2] = -0.182574f;
 	val_dir[8882*3 + 0] = 0.923742f;	val_dir[8882*3 + 1] = -0.337954f;	val_dir[8882*3 + 2] = -0.180242f;
 	val_dir[8883*3 + 0] = 0.933564f;	val_dir[8883*3 + 1] = -0.311188f;	val_dir[8883*3 + 2] = -0.177822f;
 	val_dir[8884*3 + 0] = 0.942384f;	val_dir[8884*3 + 1] = -0.284907f;	val_dir[8884*3 + 2] = -0.175327f;
 	val_dir[8885*3 + 0] = 0.950255f;	val_dir[8885*3 + 1] = -0.259161f;	val_dir[8885*3 + 2] = -0.172774f;
 	val_dir[8886*3 + 0] = 0.957230f;	val_dir[8886*3 + 1] = -0.233990f;	val_dir[8886*3 + 2] = -0.170174f;
 	val_dir[8887*3 + 0] = 0.963364f;	val_dir[8887*3 + 1] = -0.209427f;	val_dir[8887*3 + 2] = -0.167542f;
 	val_dir[8888*3 + 0] = 0.968712f;	val_dir[8888*3 + 1] = -0.185498f;	val_dir[8888*3 + 2] = -0.164887f;
 	val_dir[8889*3 + 0] = 0.973329f;	val_dir[8889*3 + 1] = -0.162221f;	val_dir[8889*3 + 2] = -0.162221f;
 	val_dir[8890*3 + 0] = 0.977267f;	val_dir[8890*3 + 1] = -0.139610f;	val_dir[8890*3 + 2] = -0.159554f;
 	val_dir[8891*3 + 0] = 0.980581f;	val_dir[8891*3 + 1] = -0.117670f;	val_dir[8891*3 + 2] = -0.156893f;
 	val_dir[8892*3 + 0] = 0.983318f;	val_dir[8892*3 + 1] = -0.096404f;	val_dir[8892*3 + 2] = -0.154246f;
 	val_dir[8893*3 + 0] = 0.985527f;	val_dir[8893*3 + 1] = -0.075810f;	val_dir[8893*3 + 2] = -0.151620f;
 	val_dir[8894*3 + 0] = 0.987254f;	val_dir[8894*3 + 1] = -0.055882f;	val_dir[8894*3 + 2] = -0.149019f;
 	val_dir[8895*3 + 0] = 0.988540f;	val_dir[8895*3 + 1] = -0.036613f;	val_dir[8895*3 + 2] = -0.146450f;
 	val_dir[8896*3 + 0] = 0.989426f;	val_dir[8896*3 + 1] = -0.017990f;	val_dir[8896*3 + 2] = -0.143917f;
 	val_dir[8897*3 + 0] = 0.989949f;	val_dir[8897*3 + 1] = 0.0f;	val_dir[8897*3 + 2] = -0.141421f;
 	val_dir[8898*3 + 0] = 0.994354f;	val_dir[8898*3 + 1] = 0.017445f;	val_dir[8898*3 + 2] = -0.104669f;
 	val_dir[8899*3 + 0] = 0.997041f;	val_dir[8899*3 + 1] = 0.034381f;	val_dir[8899*3 + 2] = -0.068761f;
 	val_dir[8900*3 + 0] = 0.998138f;	val_dir[8900*3 + 1] = 0.050753f;	val_dir[8900*3 + 2] = -0.033835f;
 	val_dir[8901*3 + 0] = 0.997785f;	val_dir[8901*3 + 1] = 0.066519f;	val_dir[8901*3 + 2] = 0.0f;
 	val_dir[8902*3 + 0] = -0.067632f;	val_dir[8902*3 + 1] = -0.997567f;	val_dir[8902*3 + 2] = -0.016908f;
 	val_dir[8903*3 + 0] = -0.051586f;	val_dir[8903*3 + 1] = -0.997335f;	val_dir[8903*3 + 2] = -0.051586f;
 	val_dir[8904*3 + 0] = -0.034932f;	val_dir[8904*3 + 1] = -0.995567f;	val_dir[8904*3 + 2] = -0.087330f;
 	val_dir[8905*3 + 0] = -0.017716f;	val_dir[8905*3 + 1] = -0.992122f;	val_dir[8905*3 + 2] = -0.124015f;
 	val_dir[8906*3 + 0] = 0.0f;	val_dir[8906*3 + 1] = -0.986875f;	val_dir[8906*3 + 2] = -0.161489f;
 	val_dir[8907*3 + 0] = 0.018264f;	val_dir[8907*3 + 1] = -0.986229f;	val_dir[8907*3 + 2] = -0.164372f;
 	val_dir[8908*3 + 0] = 0.037178f;	val_dir[8908*3 + 1] = -0.985205f;	val_dir[8908*3 + 2] = -0.167299f;
 	val_dir[8909*3 + 0] = 0.056756f;	val_dir[8909*3 + 1] = -0.983762f;	val_dir[8909*3 + 2] = -0.170267f;
 	val_dir[8910*3 + 0] = 0.077009f;	val_dir[8910*3 + 1] = -0.981859f;	val_dir[8910*3 + 2] = -0.173269f;
 	val_dir[8911*3 + 0] = 0.097945f;	val_dir[8911*3 + 1] = -0.979451f;	val_dir[8911*3 + 2] = -0.176301f;
 	val_dir[8912*3 + 0] = 0.119570f;	val_dir[8912*3 + 1] = -0.976491f;	val_dir[8912*3 + 2] = -0.179355f;
 	val_dir[8913*3 + 0] = 0.141885f;	val_dir[8913*3 + 1] = -0.972929f;	val_dir[8913*3 + 2] = -0.182424f;
 	val_dir[8914*3 + 0] = 0.164887f;	val_dir[8914*3 + 1] = -0.968712f;	val_dir[8914*3 + 2] = -0.185498f;
 	val_dir[8915*3 + 0] = 0.188567f;	val_dir[8915*3 + 1] = -0.963787f;	val_dir[8915*3 + 2] = -0.188567f;
 	val_dir[8916*3 + 0] = 0.212911f;	val_dir[8916*3 + 1] = -0.958098f;	val_dir[8916*3 + 2] = -0.191620f;
 	val_dir[8917*3 + 0] = 0.237897f;	val_dir[8917*3 + 1] = -0.951588f;	val_dir[8917*3 + 2] = -0.194643f;
 	val_dir[8918*3 + 0] = 0.263498f;	val_dir[8918*3 + 1] = -0.94420f;	val_dir[8918*3 + 2] = -0.197623f;
 	val_dir[8919*3 + 0] = 0.289677f;	val_dir[8919*3 + 1] = -0.935879f;	val_dir[8919*3 + 2] = -0.200545f;
 	val_dir[8920*3 + 0] = 0.316389f;	val_dir[8920*3 + 1] = -0.926568f;	val_dir[8920*3 + 2] = -0.203393f;
 	val_dir[8921*3 + 0] = 0.343582f;	val_dir[8921*3 + 1] = -0.916217f;	val_dir[8921*3 + 2] = -0.206149f;
 	val_dir[8922*3 + 0] = 0.371191f;	val_dir[8922*3 + 1] = -0.904777f;	val_dir[8922*3 + 2] = -0.208795f;
 	val_dir[8923*3 + 0] = 0.399145f;	val_dir[8923*3 + 1] = -0.892206f;	val_dir[8923*3 + 2] = -0.211312f;
 	val_dir[8924*3 + 0] = 0.427362f;	val_dir[8924*3 + 1] = -0.878466f;	val_dir[8924*3 + 2] = -0.213681f;
 	val_dir[8925*3 + 0] = 0.455752f;	val_dir[8925*3 + 1] = -0.863530f;	val_dir[8925*3 + 2] = -0.215883f;
 	val_dir[8926*3 + 0] = 0.484217f;	val_dir[8926*3 + 1] = -0.847381f;	val_dir[8926*3 + 2] = -0.217898f;
 	val_dir[8927*3 + 0] = 0.512653f;	val_dir[8927*3 + 1] = -0.830009f;	val_dir[8927*3 + 2] = -0.219708f;
 	val_dir[8928*3 + 0] = 0.540947f;	val_dir[8928*3 + 1] = -0.811421f;	val_dir[8928*3 + 2] = -0.221297f;
 	val_dir[8929*3 + 0] = 0.568986f;	val_dir[8929*3 + 1] = -0.791633f;	val_dir[8929*3 + 2] = -0.222647f;
 	val_dir[8930*3 + 0] = 0.596653f;	val_dir[8930*3 + 1] = -0.770677f;	val_dir[8930*3 + 2] = -0.223745f;
 	val_dir[8931*3 + 0] = 0.623831f;	val_dir[8931*3 + 1] = -0.748598f;	val_dir[8931*3 + 2] = -0.224579f;
 	val_dir[8932*3 + 0] = 0.650407f;	val_dir[8932*3 + 1] = -0.725454f;	val_dir[8932*3 + 2] = -0.225141f;
 	val_dir[8933*3 + 0] = 0.676269f;	val_dir[8933*3 + 1] = -0.701316f;	val_dir[8933*3 + 2] = -0.225423f;
 	val_dir[8934*3 + 0] = 0.701316f;	val_dir[8934*3 + 1] = -0.676269f;	val_dir[8934*3 + 2] = -0.225423f;
 	val_dir[8935*3 + 0] = 0.725454f;	val_dir[8935*3 + 1] = -0.650407f;	val_dir[8935*3 + 2] = -0.225141f;
 	val_dir[8936*3 + 0] = 0.748598f;	val_dir[8936*3 + 1] = -0.623831f;	val_dir[8936*3 + 2] = -0.224579f;
 	val_dir[8937*3 + 0] = 0.770677f;	val_dir[8937*3 + 1] = -0.596653f;	val_dir[8937*3 + 2] = -0.223745f;
 	val_dir[8938*3 + 0] = 0.791633f;	val_dir[8938*3 + 1] = -0.568986f;	val_dir[8938*3 + 2] = -0.222647f;
 	val_dir[8939*3 + 0] = 0.811421f;	val_dir[8939*3 + 1] = -0.540947f;	val_dir[8939*3 + 2] = -0.221297f;
 	val_dir[8940*3 + 0] = 0.830009f;	val_dir[8940*3 + 1] = -0.512653f;	val_dir[8940*3 + 2] = -0.219708f;
 	val_dir[8941*3 + 0] = 0.847381f;	val_dir[8941*3 + 1] = -0.484217f;	val_dir[8941*3 + 2] = -0.217898f;
 	val_dir[8942*3 + 0] = 0.863530f;	val_dir[8942*3 + 1] = -0.455752f;	val_dir[8942*3 + 2] = -0.215883f;
 	val_dir[8943*3 + 0] = 0.878466f;	val_dir[8943*3 + 1] = -0.427362f;	val_dir[8943*3 + 2] = -0.213681f;
 	val_dir[8944*3 + 0] = 0.892206f;	val_dir[8944*3 + 1] = -0.399145f;	val_dir[8944*3 + 2] = -0.211312f;
 	val_dir[8945*3 + 0] = 0.904777f;	val_dir[8945*3 + 1] = -0.371191f;	val_dir[8945*3 + 2] = -0.208795f;
 	val_dir[8946*3 + 0] = 0.916217f;	val_dir[8946*3 + 1] = -0.343582f;	val_dir[8946*3 + 2] = -0.206149f;
 	val_dir[8947*3 + 0] = 0.926568f;	val_dir[8947*3 + 1] = -0.316389f;	val_dir[8947*3 + 2] = -0.203393f;
 	val_dir[8948*3 + 0] = 0.935879f;	val_dir[8948*3 + 1] = -0.289677f;	val_dir[8948*3 + 2] = -0.200545f;
 	val_dir[8949*3 + 0] = 0.94420f;	val_dir[8949*3 + 1] = -0.263498f;	val_dir[8949*3 + 2] = -0.197623f;
 	val_dir[8950*3 + 0] = 0.951588f;	val_dir[8950*3 + 1] = -0.237897f;	val_dir[8950*3 + 2] = -0.194643f;
 	val_dir[8951*3 + 0] = 0.958098f;	val_dir[8951*3 + 1] = -0.212911f;	val_dir[8951*3 + 2] = -0.191620f;
 	val_dir[8952*3 + 0] = 0.963787f;	val_dir[8952*3 + 1] = -0.188567f;	val_dir[8952*3 + 2] = -0.188567f;
 	val_dir[8953*3 + 0] = 0.968712f;	val_dir[8953*3 + 1] = -0.164887f;	val_dir[8953*3 + 2] = -0.185498f;
 	val_dir[8954*3 + 0] = 0.972929f;	val_dir[8954*3 + 1] = -0.141885f;	val_dir[8954*3 + 2] = -0.182424f;
 	val_dir[8955*3 + 0] = 0.976491f;	val_dir[8955*3 + 1] = -0.119570f;	val_dir[8955*3 + 2] = -0.179355f;
 	val_dir[8956*3 + 0] = 0.979451f;	val_dir[8956*3 + 1] = -0.097945f;	val_dir[8956*3 + 2] = -0.176301f;
 	val_dir[8957*3 + 0] = 0.981859f;	val_dir[8957*3 + 1] = -0.077009f;	val_dir[8957*3 + 2] = -0.173269f;
 	val_dir[8958*3 + 0] = 0.983762f;	val_dir[8958*3 + 1] = -0.056756f;	val_dir[8958*3 + 2] = -0.170267f;
 	val_dir[8959*3 + 0] = 0.985205f;	val_dir[8959*3 + 1] = -0.037178f;	val_dir[8959*3 + 2] = -0.167299f;
 	val_dir[8960*3 + 0] = 0.986229f;	val_dir[8960*3 + 1] = -0.018264f;	val_dir[8960*3 + 2] = -0.164372f;
 	val_dir[8961*3 + 0] = 0.986875f;	val_dir[8961*3 + 1] = 0.0f;	val_dir[8961*3 + 2] = -0.161489f;
 	val_dir[8962*3 + 0] = 0.992122f;	val_dir[8962*3 + 1] = 0.017716f;	val_dir[8962*3 + 2] = -0.124015f;
 	val_dir[8963*3 + 0] = 0.995567f;	val_dir[8963*3 + 1] = 0.034932f;	val_dir[8963*3 + 2] = -0.087330f;
 	val_dir[8964*3 + 0] = 0.997335f;	val_dir[8964*3 + 1] = 0.051586f;	val_dir[8964*3 + 2] = -0.051586f;
 	val_dir[8965*3 + 0] = 0.997567f;	val_dir[8965*3 + 1] = 0.067632f;	val_dir[8965*3 + 2] = -0.016908f;
 	val_dir[8966*3 + 0] = -0.084443f;	val_dir[8966*3 + 1] = -0.996428f;	val_dir[8966*3 + 2] = 0.0f;
 	val_dir[8967*3 + 0] = -0.068761f;	val_dir[8967*3 + 1] = -0.997041f;	val_dir[8967*3 + 2] = -0.034381f;
 	val_dir[8968*3 + 0] = -0.052430f;	val_dir[8968*3 + 1] = -0.996175f;	val_dir[8968*3 + 2] = -0.069907f;
 	val_dir[8969*3 + 0] = -0.035489f;	val_dir[8969*3 + 1] = -0.993683f;	val_dir[8969*3 + 2] = -0.106466f;
 	val_dir[8970*3 + 0] = -0.017990f;	val_dir[8970*3 + 1] = -0.989426f;	val_dir[8970*3 + 2] = -0.143917f;
 	val_dir[8971*3 + 0] = 0.0f;	val_dir[8971*3 + 1] = -0.983282f;	val_dir[8971*3 + 2] = -0.182089f;
 	val_dir[8972*3 + 0] = 0.018538f;	val_dir[8972*3 + 1] = -0.982493f;	val_dir[8972*3 + 2] = -0.185376f;
 	val_dir[8973*3 + 0] = 0.037743f;	val_dir[8973*3 + 1] = -0.981307f;	val_dir[8973*3 + 2] = -0.188713f;
 	val_dir[8974*3 + 0] = 0.057628f;	val_dir[8974*3 + 1] = -0.979683f;	val_dir[8974*3 + 2] = -0.192095f;
 	val_dir[8975*3 + 0] = 0.078206f;	val_dir[8975*3 + 1] = -0.977577f;	val_dir[8975*3 + 2] = -0.195515f;
 	val_dir[8976*3 + 0] = 0.099484f;	val_dir[8976*3 + 1] = -0.974943f;	val_dir[8976*3 + 2] = -0.198968f;
 	val_dir[8977*3 + 0] = 0.121466f;	val_dir[8977*3 + 1] = -0.971732f;	val_dir[8977*3 + 2] = -0.202444f;
 	val_dir[8978*3 + 0] = 0.144154f;	val_dir[8978*3 + 1] = -0.967890f;	val_dir[8978*3 + 2] = -0.205934f;
 	val_dir[8979*3 + 0] = 0.167542f;	val_dir[8979*3 + 1] = -0.963364f;	val_dir[8979*3 + 2] = -0.209427f;
 	val_dir[8980*3 + 0] = 0.191620f;	val_dir[8980*3 + 1] = -0.958098f;	val_dir[8980*3 + 2] = -0.212911f;
 	val_dir[8981*3 + 0] = 0.216371f;	val_dir[8981*3 + 1] = -0.952033f;	val_dir[8981*3 + 2] = -0.216371f;
 	val_dir[8982*3 + 0] = 0.241773f;	val_dir[8982*3 + 1] = -0.945112f;	val_dir[8982*3 + 2] = -0.219793f;
 	val_dir[8983*3 + 0] = 0.267793f;	val_dir[8983*3 + 1] = -0.937276f;	val_dir[8983*3 + 2] = -0.223161f;
 	val_dir[8984*3 + 0] = 0.294392f;	val_dir[8984*3 + 1] = -0.928467f;	val_dir[8984*3 + 2] = -0.226455f;
 	val_dir[8985*3 + 0] = 0.321521f;	val_dir[8985*3 + 1] = -0.918630f;	val_dir[8985*3 + 2] = -0.229658f;
 	val_dir[8986*3 + 0] = 0.349121f;	val_dir[8986*3 + 1] = -0.907713f;	val_dir[8986*3 + 2] = -0.232747f;
 	val_dir[8987*3 + 0] = 0.377124f;	val_dir[8987*3 + 1] = -0.895669f;	val_dir[8987*3 + 2] = -0.235702f;
 	val_dir[8988*3 + 0] = 0.405452f;	val_dir[8988*3 + 1] = -0.882454f;	val_dir[8988*3 + 2] = -0.238501f;
 	val_dir[8989*3 + 0] = 0.434019f;	val_dir[8989*3 + 1] = -0.868037f;	val_dir[8989*3 + 2] = -0.241121f;
 	val_dir[8990*3 + 0] = 0.462727f;	val_dir[8990*3 + 1] = -0.852392f;	val_dir[8990*3 + 2] = -0.243541f;
 	val_dir[8991*3 + 0] = 0.491473f;	val_dir[8991*3 + 1] = -0.835504f;	val_dir[8991*3 + 2] = -0.245737f;
 	val_dir[8992*3 + 0] = 0.520146f;	val_dir[8992*3 + 1] = -0.817373f;	val_dir[8992*3 + 2] = -0.247689f;
 	val_dir[8993*3 + 0] = 0.548630f;	val_dir[8993*3 + 1] = -0.798007f;	val_dir[8993*3 + 2] = -0.249377f;
 	val_dir[8994*3 + 0] = 0.576805f;	val_dir[8994*3 + 1] = -0.777433f;	val_dir[8994*3 + 2] = -0.250785f;
 	val_dir[8995*3 + 0] = 0.604551f;	val_dir[8995*3 + 1] = -0.755689f;	val_dir[8995*3 + 2] = -0.251896f;
 	val_dir[8996*3 + 0] = 0.631748f;	val_dir[8996*3 + 1] = -0.732828f;	val_dir[8996*3 + 2] = -0.252699f;
 	val_dir[8997*3 + 0] = 0.658281f;	val_dir[8997*3 + 1] = -0.708918f;	val_dir[8997*3 + 2] = -0.253185f;
 	val_dir[8998*3 + 0] = 0.684038f;	val_dir[8998*3 + 1] = -0.684038f;	val_dir[8998*3 + 2] = -0.253347f;
 	val_dir[8999*3 + 0] = 0.708918f;	val_dir[8999*3 + 1] = -0.658281f;	val_dir[8999*3 + 2] = -0.253185f;
 	val_dir[9000*3 + 0] = 0.732828f;	val_dir[9000*3 + 1] = -0.631748f;	val_dir[9000*3 + 2] = -0.252699f;
 	val_dir[9001*3 + 0] = 0.755689f;	val_dir[9001*3 + 1] = -0.604551f;	val_dir[9001*3 + 2] = -0.251896f;
 	val_dir[9002*3 + 0] = 0.777433f;	val_dir[9002*3 + 1] = -0.576805f;	val_dir[9002*3 + 2] = -0.250785f;
 	val_dir[9003*3 + 0] = 0.798007f;	val_dir[9003*3 + 1] = -0.548630f;	val_dir[9003*3 + 2] = -0.249377f;
 	val_dir[9004*3 + 0] = 0.817373f;	val_dir[9004*3 + 1] = -0.520146f;	val_dir[9004*3 + 2] = -0.247689f;
 	val_dir[9005*3 + 0] = 0.835504f;	val_dir[9005*3 + 1] = -0.491473f;	val_dir[9005*3 + 2] = -0.245737f;
 	val_dir[9006*3 + 0] = 0.852392f;	val_dir[9006*3 + 1] = -0.462727f;	val_dir[9006*3 + 2] = -0.243541f;
 	val_dir[9007*3 + 0] = 0.868037f;	val_dir[9007*3 + 1] = -0.434019f;	val_dir[9007*3 + 2] = -0.241121f;
 	val_dir[9008*3 + 0] = 0.882454f;	val_dir[9008*3 + 1] = -0.405452f;	val_dir[9008*3 + 2] = -0.238501f;
 	val_dir[9009*3 + 0] = 0.895669f;	val_dir[9009*3 + 1] = -0.377124f;	val_dir[9009*3 + 2] = -0.235702f;
 	val_dir[9010*3 + 0] = 0.907713f;	val_dir[9010*3 + 1] = -0.349121f;	val_dir[9010*3 + 2] = -0.232747f;
 	val_dir[9011*3 + 0] = 0.918630f;	val_dir[9011*3 + 1] = -0.321521f;	val_dir[9011*3 + 2] = -0.229658f;
 	val_dir[9012*3 + 0] = 0.928467f;	val_dir[9012*3 + 1] = -0.294392f;	val_dir[9012*3 + 2] = -0.226455f;
 	val_dir[9013*3 + 0] = 0.937276f;	val_dir[9013*3 + 1] = -0.267793f;	val_dir[9013*3 + 2] = -0.223161f;
 	val_dir[9014*3 + 0] = 0.945112f;	val_dir[9014*3 + 1] = -0.241773f;	val_dir[9014*3 + 2] = -0.219793f;
 	val_dir[9015*3 + 0] = 0.952033f;	val_dir[9015*3 + 1] = -0.216371f;	val_dir[9015*3 + 2] = -0.216371f;
 	val_dir[9016*3 + 0] = 0.958098f;	val_dir[9016*3 + 1] = -0.191620f;	val_dir[9016*3 + 2] = -0.212911f;
 	val_dir[9017*3 + 0] = 0.963364f;	val_dir[9017*3 + 1] = -0.167542f;	val_dir[9017*3 + 2] = -0.209427f;
 	val_dir[9018*3 + 0] = 0.967890f;	val_dir[9018*3 + 1] = -0.144154f;	val_dir[9018*3 + 2] = -0.205934f;
 	val_dir[9019*3 + 0] = 0.971732f;	val_dir[9019*3 + 1] = -0.121466f;	val_dir[9019*3 + 2] = -0.202444f;
 	val_dir[9020*3 + 0] = 0.974943f;	val_dir[9020*3 + 1] = -0.099484f;	val_dir[9020*3 + 2] = -0.198968f;
 	val_dir[9021*3 + 0] = 0.977577f;	val_dir[9021*3 + 1] = -0.078206f;	val_dir[9021*3 + 2] = -0.195515f;
 	val_dir[9022*3 + 0] = 0.979683f;	val_dir[9022*3 + 1] = -0.057628f;	val_dir[9022*3 + 2] = -0.192095f;
 	val_dir[9023*3 + 0] = 0.981307f;	val_dir[9023*3 + 1] = -0.037743f;	val_dir[9023*3 + 2] = -0.188713f;
 	val_dir[9024*3 + 0] = 0.982493f;	val_dir[9024*3 + 1] = -0.018538f;	val_dir[9024*3 + 2] = -0.185376f;
 	val_dir[9025*3 + 0] = 0.983282f;	val_dir[9025*3 + 1] = 0.0f;	val_dir[9025*3 + 2] = -0.182089f;
 	val_dir[9026*3 + 0] = 0.989426f;	val_dir[9026*3 + 1] = 0.017990f;	val_dir[9026*3 + 2] = -0.143917f;
 	val_dir[9027*3 + 0] = 0.993683f;	val_dir[9027*3 + 1] = 0.035489f;	val_dir[9027*3 + 2] = -0.106466f;
 	val_dir[9028*3 + 0] = 0.996175f;	val_dir[9028*3 + 1] = 0.052430f;	val_dir[9028*3 + 2] = -0.069907f;
 	val_dir[9029*3 + 0] = 0.997041f;	val_dir[9029*3 + 1] = 0.068761f;	val_dir[9029*3 + 2] = -0.034381f;
 	val_dir[9030*3 + 0] = 0.996428f;	val_dir[9030*3 + 1] = 0.084443f;	val_dir[9030*3 + 2] = 0.0f;
 	val_dir[9031*3 + 0] = -0.085876f;	val_dir[9031*3 + 1] = -0.996158f;	val_dir[9031*3 + 2] = -0.017175f;
 	val_dir[9032*3 + 0] = -0.069907f;	val_dir[9032*3 + 1] = -0.996175f;	val_dir[9032*3 + 2] = -0.052430f;
 	val_dir[9033*3 + 0] = -0.053283f;	val_dir[9033*3 + 1] = -0.994623f;	val_dir[9033*3 + 2] = -0.088806f;
 	val_dir[9034*3 + 0] = -0.036049f;	val_dir[9034*3 + 1] = -0.991353f;	val_dir[9034*3 + 2] = -0.126172f;
 	val_dir[9035*3 + 0] = -0.018264f;	val_dir[9035*3 + 1] = -0.986229f;	val_dir[9035*3 + 2] = -0.164372f;
 	val_dir[9036*3 + 0] = 0.0f;	val_dir[9036*3 + 1] = -0.979134f;	val_dir[9036*3 + 2] = -0.203216f;
 	val_dir[9037*3 + 0] = 0.018811f;	val_dir[9037*3 + 1] = -0.978177f;	val_dir[9037*3 + 2] = -0.206922f;
 	val_dir[9038*3 + 0] = 0.038306f;	val_dir[9038*3 + 1] = -0.976804f;	val_dir[9038*3 + 2] = -0.210683f;
 	val_dir[9039*3 + 0] = 0.058498f;	val_dir[9039*3 + 1] = -0.974972f;	val_dir[9039*3 + 2] = -0.214494f;
 	val_dir[9040*3 + 0] = 0.079399f;	val_dir[9040*3 + 1] = -0.972636f;	val_dir[9040*3 + 2] = -0.218347f;
 	val_dir[9041*3 + 0] = 0.101015f;	val_dir[9041*3 + 1] = -0.969746f;	val_dir[9041*3 + 2] = -0.222234f;
 	val_dir[9042*3 + 0] = 0.123351f;	val_dir[9042*3 + 1] = -0.966252f;	val_dir[9042*3 + 2] = -0.226144f;
 	val_dir[9043*3 + 0] = 0.146406f;	val_dir[9043*3 + 1] = -0.962099f;	val_dir[9043*3 + 2] = -0.230067f;
 	val_dir[9044*3 + 0] = 0.170174f;	val_dir[9044*3 + 1] = -0.957230f;	val_dir[9044*3 + 2] = -0.233990f;
 	val_dir[9045*3 + 0] = 0.194643f;	val_dir[9045*3 + 1] = -0.951588f;	val_dir[9045*3 + 2] = -0.237897f;
 	val_dir[9046*3 + 0] = 0.219793f;	val_dir[9046*3 + 1] = -0.945112f;	val_dir[9046*3 + 2] = -0.241773f;
 	val_dir[9047*3 + 0] = 0.245599f;	val_dir[9047*3 + 1] = -0.937743f;	val_dir[9047*3 + 2] = -0.245599f;
 	val_dir[9048*3 + 0] = 0.272026f;	val_dir[9048*3 + 1] = -0.929421f;	val_dir[9048*3 + 2] = -0.249357f;
 	val_dir[9049*3 + 0] = 0.299028f;	val_dir[9049*3 + 1] = -0.920087f;	val_dir[9049*3 + 2] = -0.253024f;
 	val_dir[9050*3 + 0] = 0.326554f;	val_dir[9050*3 + 1] = -0.909687f;	val_dir[9050*3 + 2] = -0.256578f;
 	val_dir[9051*3 + 0] = 0.354540f;	val_dir[9051*3 + 1] = -0.898167f;	val_dir[9051*3 + 2] = -0.259996f;
 	val_dir[9052*3 + 0] = 0.382911f;	val_dir[9052*3 + 1] = -0.885482f;	val_dir[9052*3 + 2] = -0.263251f;
 	val_dir[9053*3 + 0] = 0.411585f;	val_dir[9053*3 + 1] = -0.871592f;	val_dir[9053*3 + 2] = -0.266320f;
 	val_dir[9054*3 + 0] = 0.440468f;	val_dir[9054*3 + 1] = -0.856465f;	val_dir[9054*3 + 2] = -0.269175f;
 	val_dir[9055*3 + 0] = 0.469458f;	val_dir[9055*3 + 1] = -0.840083f;	val_dir[9055*3 + 2] = -0.271791f;
 	val_dir[9056*3 + 0] = 0.498445f;	val_dir[9056*3 + 1] = -0.822434f;	val_dir[9056*3 + 2] = -0.274145f;
 	val_dir[9057*3 + 0] = 0.527312f;	val_dir[9057*3 + 1] = -0.803523f;	val_dir[9057*3 + 2] = -0.276211f;
 	val_dir[9058*3 + 0] = 0.555939f;	val_dir[9058*3 + 1] = -0.783368f;	val_dir[9058*3 + 2] = -0.277969f;
 	val_dir[9059*3 + 0] = 0.584201f;	val_dir[9059*3 + 1] = -0.762001f;	val_dir[9059*3 + 2] = -0.27940f;
 	val_dir[9060*3 + 0] = 0.611974f;	val_dir[9060*3 + 1] = -0.739469f;	val_dir[9060*3 + 2] = -0.280488f;
 	val_dir[9061*3 + 0] = 0.639138f;	val_dir[9061*3 + 1] = -0.715834f;	val_dir[9061*3 + 2] = -0.281220f;
 	val_dir[9062*3 + 0] = 0.665574f;	val_dir[9062*3 + 1] = -0.691173f;	val_dir[9062*3 + 2] = -0.281589f;
 	val_dir[9063*3 + 0] = 0.691173f;	val_dir[9063*3 + 1] = -0.665574f;	val_dir[9063*3 + 2] = -0.281589f;
 	val_dir[9064*3 + 0] = 0.715834f;	val_dir[9064*3 + 1] = -0.639138f;	val_dir[9064*3 + 2] = -0.281220f;
 	val_dir[9065*3 + 0] = 0.739469f;	val_dir[9065*3 + 1] = -0.611974f;	val_dir[9065*3 + 2] = -0.280488f;
 	val_dir[9066*3 + 0] = 0.762001f;	val_dir[9066*3 + 1] = -0.584201f;	val_dir[9066*3 + 2] = -0.27940f;
 	val_dir[9067*3 + 0] = 0.783368f;	val_dir[9067*3 + 1] = -0.555939f;	val_dir[9067*3 + 2] = -0.277969f;
 	val_dir[9068*3 + 0] = 0.803523f;	val_dir[9068*3 + 1] = -0.527312f;	val_dir[9068*3 + 2] = -0.276211f;
 	val_dir[9069*3 + 0] = 0.822434f;	val_dir[9069*3 + 1] = -0.498445f;	val_dir[9069*3 + 2] = -0.274145f;
 	val_dir[9070*3 + 0] = 0.840083f;	val_dir[9070*3 + 1] = -0.469458f;	val_dir[9070*3 + 2] = -0.271791f;
 	val_dir[9071*3 + 0] = 0.856465f;	val_dir[9071*3 + 1] = -0.440468f;	val_dir[9071*3 + 2] = -0.269175f;
 	val_dir[9072*3 + 0] = 0.871592f;	val_dir[9072*3 + 1] = -0.411585f;	val_dir[9072*3 + 2] = -0.266320f;
 	val_dir[9073*3 + 0] = 0.885482f;	val_dir[9073*3 + 1] = -0.382911f;	val_dir[9073*3 + 2] = -0.263251f;
 	val_dir[9074*3 + 0] = 0.898167f;	val_dir[9074*3 + 1] = -0.354540f;	val_dir[9074*3 + 2] = -0.259996f;
 	val_dir[9075*3 + 0] = 0.909687f;	val_dir[9075*3 + 1] = -0.326554f;	val_dir[9075*3 + 2] = -0.256578f;
 	val_dir[9076*3 + 0] = 0.920087f;	val_dir[9076*3 + 1] = -0.299028f;	val_dir[9076*3 + 2] = -0.253024f;
 	val_dir[9077*3 + 0] = 0.929421f;	val_dir[9077*3 + 1] = -0.272026f;	val_dir[9077*3 + 2] = -0.249357f;
 	val_dir[9078*3 + 0] = 0.937743f;	val_dir[9078*3 + 1] = -0.245599f;	val_dir[9078*3 + 2] = -0.245599f;
 	val_dir[9079*3 + 0] = 0.945112f;	val_dir[9079*3 + 1] = -0.219793f;	val_dir[9079*3 + 2] = -0.241773f;
 	val_dir[9080*3 + 0] = 0.951588f;	val_dir[9080*3 + 1] = -0.194643f;	val_dir[9080*3 + 2] = -0.237897f;
 	val_dir[9081*3 + 0] = 0.957230f;	val_dir[9081*3 + 1] = -0.170174f;	val_dir[9081*3 + 2] = -0.233990f;
 	val_dir[9082*3 + 0] = 0.962099f;	val_dir[9082*3 + 1] = -0.146406f;	val_dir[9082*3 + 2] = -0.230067f;
 	val_dir[9083*3 + 0] = 0.966252f;	val_dir[9083*3 + 1] = -0.123351f;	val_dir[9083*3 + 2] = -0.226144f;
 	val_dir[9084*3 + 0] = 0.969746f;	val_dir[9084*3 + 1] = -0.101015f;	val_dir[9084*3 + 2] = -0.222234f;
 	val_dir[9085*3 + 0] = 0.972636f;	val_dir[9085*3 + 1] = -0.079399f;	val_dir[9085*3 + 2] = -0.218347f;
 	val_dir[9086*3 + 0] = 0.974972f;	val_dir[9086*3 + 1] = -0.058498f;	val_dir[9086*3 + 2] = -0.214494f;
 	val_dir[9087*3 + 0] = 0.976804f;	val_dir[9087*3 + 1] = -0.038306f;	val_dir[9087*3 + 2] = -0.210683f;
 	val_dir[9088*3 + 0] = 0.978177f;	val_dir[9088*3 + 1] = -0.018811f;	val_dir[9088*3 + 2] = -0.206922f;
 	val_dir[9089*3 + 0] = 0.979134f;	val_dir[9089*3 + 1] = 0.0f;	val_dir[9089*3 + 2] = -0.203216f;
 	val_dir[9090*3 + 0] = 0.986229f;	val_dir[9090*3 + 1] = 0.018264f;	val_dir[9090*3 + 2] = -0.164372f;
 	val_dir[9091*3 + 0] = 0.991353f;	val_dir[9091*3 + 1] = 0.036049f;	val_dir[9091*3 + 2] = -0.126172f;
 	val_dir[9092*3 + 0] = 0.994623f;	val_dir[9092*3 + 1] = 0.053283f;	val_dir[9092*3 + 2] = -0.088806f;
 	val_dir[9093*3 + 0] = 0.996175f;	val_dir[9093*3 + 1] = 0.069907f;	val_dir[9093*3 + 2] = -0.052430f;
 	val_dir[9094*3 + 0] = 0.996158f;	val_dir[9094*3 + 1] = 0.085876f;	val_dir[9094*3 + 2] = -0.017175f;
 	val_dir[9095*3 + 0] = -0.102899f;	val_dir[9095*3 + 1] = -0.994692f;	val_dir[9095*3 + 2] = 0.0f;
 	val_dir[9096*3 + 0] = -0.087330f;	val_dir[9096*3 + 1] = -0.995567f;	val_dir[9096*3 + 2] = -0.034932f;
 	val_dir[9097*3 + 0] = -0.071067f;	val_dir[9097*3 + 1] = -0.994937f;	val_dir[9097*3 + 2] = -0.071067f;
 	val_dir[9098*3 + 0] = -0.054144f;	val_dir[9098*3 + 1] = -0.992644f;	val_dir[9098*3 + 2] = -0.108288f;
 	val_dir[9099*3 + 0] = -0.036613f;	val_dir[9099*3 + 1] = -0.988540f;	val_dir[9099*3 + 2] = -0.146450f;
 	val_dir[9100*3 + 0] = -0.018538f;	val_dir[9100*3 + 1] = -0.982493f;	val_dir[9100*3 + 2] = -0.185376f;
 	val_dir[9101*3 + 0] = 0.0f;	val_dir[9101*3 + 1] = -0.974391f;	val_dir[9101*3 + 2] = -0.224860f;
 	val_dir[9102*3 + 0] = 0.019083f;	val_dir[9102*3 + 1] = -0.973240f;	val_dir[9102*3 + 2] = -0.228998f;
 	val_dir[9103*3 + 0] = 0.038866f;	val_dir[9103*3 + 1] = -0.971653f;	val_dir[9103*3 + 2] = -0.233197f;
 	val_dir[9104*3 + 0] = 0.059362f;	val_dir[9104*3 + 1] = -0.969584f;	val_dir[9104*3 + 2] = -0.237449f;
 	val_dir[9105*3 + 0] = 0.080582f;	val_dir[9105*3 + 1] = -0.966988f;	val_dir[9105*3 + 2] = -0.241747f;
 	val_dir[9106*3 + 0] = 0.102533f;	val_dir[9106*3 + 1] = -0.963811f;	val_dir[9106*3 + 2] = -0.246079f;
 	val_dir[9107*3 + 0] = 0.125218f;	val_dir[9107*3 + 1] = -0.960001f;	val_dir[9107*3 + 2] = -0.250435f;
 	val_dir[9108*3 + 0] = 0.148634f;	val_dir[9108*3 + 1] = -0.955502f;	val_dir[9108*3 + 2] = -0.254801f;
 	val_dir[9109*3 + 0] = 0.172774f;	val_dir[9109*3 + 1] = -0.950255f;	val_dir[9109*3 + 2] = -0.259161f;
 	val_dir[9110*3 + 0] = 0.197623f;	val_dir[9110*3 + 1] = -0.94420f;	val_dir[9110*3 + 2] = -0.263498f;
 	val_dir[9111*3 + 0] = 0.223161f;	val_dir[9111*3 + 1] = -0.937276f;	val_dir[9111*3 + 2] = -0.267793f;
 	val_dir[9112*3 + 0] = 0.249357f;	val_dir[9112*3 + 1] = -0.929421f;	val_dir[9112*3 + 2] = -0.272026f;
 	val_dir[9113*3 + 0] = 0.276172f;	val_dir[9113*3 + 1] = -0.920575f;	val_dir[9113*3 + 2] = -0.276172f;
 	val_dir[9114*3 + 0] = 0.303559f;	val_dir[9114*3 + 1] = -0.910678f;	val_dir[9114*3 + 2] = -0.280209f;
 	val_dir[9115*3 + 0] = 0.331460f;	val_dir[9115*3 + 1] = -0.899676f;	val_dir[9115*3 + 2] = -0.284108f;
 	val_dir[9116*3 + 0] = 0.359804f;	val_dir[9116*3 + 1] = -0.887517f;	val_dir[9116*3 + 2] = -0.287843f;
 	val_dir[9117*3 + 0] = 0.388514f;	val_dir[9117*3 + 1] = -0.874157f;	val_dir[9117*3 + 2] = -0.291386f;
 	val_dir[9118*3 + 0] = 0.41750f;	val_dir[9118*3 + 1] = -0.859559f;	val_dir[9118*3 + 2] = -0.294706f;
 	val_dir[9119*3 + 0] = 0.446662f;	val_dir[9119*3 + 1] = -0.843696f;	val_dir[9119*3 + 2] = -0.297775f;
 	val_dir[9120*3 + 0] = 0.475893f;	val_dir[9120*3 + 1] = -0.826551f;	val_dir[9120*3 + 2] = -0.300564f;
 	val_dir[9121*3 + 0] = 0.505076f;	val_dir[9121*3 + 1] = -0.808122f;	val_dir[9121*3 + 2] = -0.303046f;
 	val_dir[9122*3 + 0] = 0.534090f;	val_dir[9122*3 + 1] = -0.788419f;	val_dir[9122*3 + 2] = -0.305194f;
 	val_dir[9123*3 + 0] = 0.562809f;	val_dir[9123*3 + 1] = -0.767467f;	val_dir[9123*3 + 2] = -0.306987f;
 	val_dir[9124*3 + 0] = 0.591105f;	val_dir[9124*3 + 1] = -0.745307f;	val_dir[9124*3 + 2] = -0.308403f;
 	val_dir[9125*3 + 0] = 0.618853f;	val_dir[9125*3 + 1] = -0.721995f;	val_dir[9125*3 + 2] = -0.309426f;
 	val_dir[9126*3 + 0] = 0.645928f;	val_dir[9126*3 + 1] = -0.697602f;	val_dir[9126*3 + 2] = -0.310045f;
 	val_dir[9127*3 + 0] = 0.672214f;	val_dir[9127*3 + 1] = -0.672214f;	val_dir[9127*3 + 2] = -0.310253f;
 	val_dir[9128*3 + 0] = 0.697602f;	val_dir[9128*3 + 1] = -0.645928f;	val_dir[9128*3 + 2] = -0.310045f;
 	val_dir[9129*3 + 0] = 0.721995f;	val_dir[9129*3 + 1] = -0.618853f;	val_dir[9129*3 + 2] = -0.309426f;
 	val_dir[9130*3 + 0] = 0.745307f;	val_dir[9130*3 + 1] = -0.591105f;	val_dir[9130*3 + 2] = -0.308403f;
 	val_dir[9131*3 + 0] = 0.767467f;	val_dir[9131*3 + 1] = -0.562809f;	val_dir[9131*3 + 2] = -0.306987f;
 	val_dir[9132*3 + 0] = 0.788419f;	val_dir[9132*3 + 1] = -0.534090f;	val_dir[9132*3 + 2] = -0.305194f;
 	val_dir[9133*3 + 0] = 0.808122f;	val_dir[9133*3 + 1] = -0.505076f;	val_dir[9133*3 + 2] = -0.303046f;
 	val_dir[9134*3 + 0] = 0.826551f;	val_dir[9134*3 + 1] = -0.475893f;	val_dir[9134*3 + 2] = -0.300564f;
 	val_dir[9135*3 + 0] = 0.843696f;	val_dir[9135*3 + 1] = -0.446662f;	val_dir[9135*3 + 2] = -0.297775f;
 	val_dir[9136*3 + 0] = 0.859559f;	val_dir[9136*3 + 1] = -0.41750f;	val_dir[9136*3 + 2] = -0.294706f;
 	val_dir[9137*3 + 0] = 0.874157f;	val_dir[9137*3 + 1] = -0.388514f;	val_dir[9137*3 + 2] = -0.291386f;
 	val_dir[9138*3 + 0] = 0.887517f;	val_dir[9138*3 + 1] = -0.359804f;	val_dir[9138*3 + 2] = -0.287843f;
 	val_dir[9139*3 + 0] = 0.899676f;	val_dir[9139*3 + 1] = -0.331460f;	val_dir[9139*3 + 2] = -0.284108f;
 	val_dir[9140*3 + 0] = 0.910678f;	val_dir[9140*3 + 1] = -0.303559f;	val_dir[9140*3 + 2] = -0.280209f;
 	val_dir[9141*3 + 0] = 0.920575f;	val_dir[9141*3 + 1] = -0.276172f;	val_dir[9141*3 + 2] = -0.276172f;
 	val_dir[9142*3 + 0] = 0.929421f;	val_dir[9142*3 + 1] = -0.249357f;	val_dir[9142*3 + 2] = -0.272026f;
 	val_dir[9143*3 + 0] = 0.937276f;	val_dir[9143*3 + 1] = -0.223161f;	val_dir[9143*3 + 2] = -0.267793f;
 	val_dir[9144*3 + 0] = 0.94420f;	val_dir[9144*3 + 1] = -0.197623f;	val_dir[9144*3 + 2] = -0.263498f;
 	val_dir[9145*3 + 0] = 0.950255f;	val_dir[9145*3 + 1] = -0.172774f;	val_dir[9145*3 + 2] = -0.259161f;
 	val_dir[9146*3 + 0] = 0.955502f;	val_dir[9146*3 + 1] = -0.148634f;	val_dir[9146*3 + 2] = -0.254801f;
 	val_dir[9147*3 + 0] = 0.960001f;	val_dir[9147*3 + 1] = -0.125218f;	val_dir[9147*3 + 2] = -0.250435f;
 	val_dir[9148*3 + 0] = 0.963811f;	val_dir[9148*3 + 1] = -0.102533f;	val_dir[9148*3 + 2] = -0.246079f;
 	val_dir[9149*3 + 0] = 0.966988f;	val_dir[9149*3 + 1] = -0.080582f;	val_dir[9149*3 + 2] = -0.241747f;
 	val_dir[9150*3 + 0] = 0.969584f;	val_dir[9150*3 + 1] = -0.059362f;	val_dir[9150*3 + 2] = -0.237449f;
 	val_dir[9151*3 + 0] = 0.971653f;	val_dir[9151*3 + 1] = -0.038866f;	val_dir[9151*3 + 2] = -0.233197f;
 	val_dir[9152*3 + 0] = 0.973240f;	val_dir[9152*3 + 1] = -0.019083f;	val_dir[9152*3 + 2] = -0.228998f;
 	val_dir[9153*3 + 0] = 0.974391f;	val_dir[9153*3 + 1] = 0.0f;	val_dir[9153*3 + 2] = -0.224860f;
 	val_dir[9154*3 + 0] = 0.982493f;	val_dir[9154*3 + 1] = 0.018538f;	val_dir[9154*3 + 2] = -0.185376f;
 	val_dir[9155*3 + 0] = 0.988540f;	val_dir[9155*3 + 1] = 0.036613f;	val_dir[9155*3 + 2] = -0.146450f;
 	val_dir[9156*3 + 0] = 0.992644f;	val_dir[9156*3 + 1] = 0.054144f;	val_dir[9156*3 + 2] = -0.108288f;
 	val_dir[9157*3 + 0] = 0.994937f;	val_dir[9157*3 + 1] = 0.071067f;	val_dir[9157*3 + 2] = -0.071067f;
 	val_dir[9158*3 + 0] = 0.995567f;	val_dir[9158*3 + 1] = 0.087330f;	val_dir[9158*3 + 2] = -0.034932f;
 	val_dir[9159*3 + 0] = 0.994692f;	val_dir[9159*3 + 1] = 0.102899f;	val_dir[9159*3 + 2] = 0.0f;
 	val_dir[9160*3 + 0] = -0.104669f;	val_dir[9160*3 + 1] = -0.994354f;	val_dir[9160*3 + 2] = -0.017445f;
 	val_dir[9161*3 + 0] = -0.088806f;	val_dir[9161*3 + 1] = -0.994623f;	val_dir[9161*3 + 2] = -0.053283f;
 	val_dir[9162*3 + 0] = -0.072239f;	val_dir[9162*3 + 1] = -0.993291f;	val_dir[9162*3 + 2] = -0.090299f;
 	val_dir[9163*3 + 0] = -0.055011f;	val_dir[9163*3 + 1] = -0.990201f;	val_dir[9163*3 + 2] = -0.128359f;
 	val_dir[9164*3 + 0] = -0.037178f;	val_dir[9164*3 + 1] = -0.985205f;	val_dir[9164*3 + 2] = -0.167299f;
 	val_dir[9165*3 + 0] = -0.018811f;	val_dir[9165*3 + 1] = -0.978177f;	val_dir[9165*3 + 2] = -0.206922f;
 	val_dir[9166*3 + 0] = 0.0f;	val_dir[9166*3 + 1] = -0.969015f;	val_dir[9166*3 + 2] = -0.247004f;
 	val_dir[9167*3 + 0] = 0.019353f;	val_dir[9167*3 + 1] = -0.967641f;	val_dir[9167*3 + 2] = -0.251587f;
 	val_dir[9168*3 + 0] = 0.039421f;	val_dir[9168*3 + 1] = -0.965810f;	val_dir[9168*3 + 2] = -0.256235f;
 	val_dir[9169*3 + 0] = 0.060217f;	val_dir[9169*3 + 1] = -0.963475f;	val_dir[9169*3 + 2] = -0.260941f;
 	val_dir[9170*3 + 0] = 0.081752f;	val_dir[9170*3 + 1] = -0.960585f;	val_dir[9170*3 + 2] = -0.265694f;
 	val_dir[9171*3 + 0] = 0.104031f;	val_dir[9171*3 + 1] = -0.957088f;	val_dir[9171*3 + 2] = -0.270481f;
 	val_dir[9172*3 + 0] = 0.127057f;	val_dir[9172*3 + 1] = -0.952928f;	val_dir[9172*3 + 2] = -0.275290f;
 	val_dir[9173*3 + 0] = 0.150826f;	val_dir[9173*3 + 1] = -0.948047f;	val_dir[9173*3 + 2] = -0.280105f;
 	val_dir[9174*3 + 0] = 0.175327f;	val_dir[9174*3 + 1] = -0.942384f;	val_dir[9174*3 + 2] = -0.284907f;
 	val_dir[9175*3 + 0] = 0.200545f;	val_dir[9175*3 + 1] = -0.935879f;	val_dir[9175*3 + 2] = -0.289677f;
 	val_dir[9176*3 + 0] = 0.226455f;	val_dir[9176*3 + 1] = -0.928467f;	val_dir[9176*3 + 2] = -0.294392f;
 	val_dir[9177*3 + 0] = 0.253024f;	val_dir[9177*3 + 1] = -0.920087f;	val_dir[9177*3 + 2] = -0.299028f;
 	val_dir[9178*3 + 0] = 0.280209f;	val_dir[9178*3 + 1] = -0.910678f;	val_dir[9178*3 + 2] = -0.303559f;
 	val_dir[9179*3 + 0] = 0.307957f;	val_dir[9179*3 + 1] = -0.900181f;	val_dir[9179*3 + 2] = -0.307957f;
 	val_dir[9180*3 + 0] = 0.336204f;	val_dir[9180*3 + 1] = -0.888540f;	val_dir[9180*3 + 2] = -0.312190f;
 	val_dir[9181*3 + 0] = 0.364878f;	val_dir[9181*3 + 1] = -0.875708f;	val_dir[9181*3 + 2] = -0.316228f;
 	val_dir[9182*3 + 0] = 0.393893f;	val_dir[9182*3 + 1] = -0.861640f;	val_dir[9182*3 + 2] = -0.320038f;
 	val_dir[9183*3 + 0] = 0.423153f;	val_dir[9183*3 + 1] = -0.846305f;	val_dir[9183*3 + 2] = -0.323587f;
 	val_dir[9184*3 + 0] = 0.452553f;	val_dir[9184*3 + 1] = -0.829680f;	val_dir[9184*3 + 2] = -0.326844f;
 	val_dir[9185*3 + 0] = 0.481979f;	val_dir[9185*3 + 1] = -0.811754f;	val_dir[9185*3 + 2] = -0.329775f;
 	val_dir[9186*3 + 0] = 0.511310f;	val_dir[9186*3 + 1] = -0.792530f;	val_dir[9186*3 + 2] = -0.332352f;
 	val_dir[9187*3 + 0] = 0.540419f;	val_dir[9187*3 + 1] = -0.772027f;	val_dir[9187*3 + 2] = -0.334545f;
 	val_dir[9188*3 + 0] = 0.569177f;	val_dir[9188*3 + 1] = -0.750279f;	val_dir[9188*3 + 2] = -0.336332f;
 	val_dir[9189*3 + 0] = 0.597453f;	val_dir[9189*3 + 1] = -0.727334f;	val_dir[9189*3 + 2] = -0.337691f;
 	val_dir[9190*3 + 0] = 0.625119f;	val_dir[9190*3 + 1] = -0.703259f;	val_dir[9190*3 + 2] = -0.338606f;
 	val_dir[9191*3 + 0] = 0.652051f;	val_dir[9191*3 + 1] = -0.678133f;	val_dir[9191*3 + 2] = -0.339066f;
 	val_dir[9192*3 + 0] = 0.678133f;	val_dir[9192*3 + 1] = -0.652051f;	val_dir[9192*3 + 2] = -0.339066f;
 	val_dir[9193*3 + 0] = 0.703259f;	val_dir[9193*3 + 1] = -0.625119f;	val_dir[9193*3 + 2] = -0.338606f;
 	val_dir[9194*3 + 0] = 0.727334f;	val_dir[9194*3 + 1] = -0.597453f;	val_dir[9194*3 + 2] = -0.337691f;
 	val_dir[9195*3 + 0] = 0.750279f;	val_dir[9195*3 + 1] = -0.569177f;	val_dir[9195*3 + 2] = -0.336332f;
 	val_dir[9196*3 + 0] = 0.772027f;	val_dir[9196*3 + 1] = -0.540419f;	val_dir[9196*3 + 2] = -0.334545f;
 	val_dir[9197*3 + 0] = 0.792530f;	val_dir[9197*3 + 1] = -0.511310f;	val_dir[9197*3 + 2] = -0.332352f;
 	val_dir[9198*3 + 0] = 0.811754f;	val_dir[9198*3 + 1] = -0.481979f;	val_dir[9198*3 + 2] = -0.329775f;
 	val_dir[9199*3 + 0] = 0.829680f;	val_dir[9199*3 + 1] = -0.452553f;	val_dir[9199*3 + 2] = -0.326844f;
 	val_dir[9200*3 + 0] = 0.846305f;	val_dir[9200*3 + 1] = -0.423153f;	val_dir[9200*3 + 2] = -0.323587f;
 	val_dir[9201*3 + 0] = 0.861640f;	val_dir[9201*3 + 1] = -0.393893f;	val_dir[9201*3 + 2] = -0.320038f;
 	val_dir[9202*3 + 0] = 0.875708f;	val_dir[9202*3 + 1] = -0.364878f;	val_dir[9202*3 + 2] = -0.316228f;
 	val_dir[9203*3 + 0] = 0.888540f;	val_dir[9203*3 + 1] = -0.336204f;	val_dir[9203*3 + 2] = -0.312190f;
 	val_dir[9204*3 + 0] = 0.900181f;	val_dir[9204*3 + 1] = -0.307957f;	val_dir[9204*3 + 2] = -0.307957f;
 	val_dir[9205*3 + 0] = 0.910678f;	val_dir[9205*3 + 1] = -0.280209f;	val_dir[9205*3 + 2] = -0.303559f;
 	val_dir[9206*3 + 0] = 0.920087f;	val_dir[9206*3 + 1] = -0.253024f;	val_dir[9206*3 + 2] = -0.299028f;
 	val_dir[9207*3 + 0] = 0.928467f;	val_dir[9207*3 + 1] = -0.226455f;	val_dir[9207*3 + 2] = -0.294392f;
 	val_dir[9208*3 + 0] = 0.935879f;	val_dir[9208*3 + 1] = -0.200545f;	val_dir[9208*3 + 2] = -0.289677f;
 	val_dir[9209*3 + 0] = 0.942384f;	val_dir[9209*3 + 1] = -0.175327f;	val_dir[9209*3 + 2] = -0.284907f;
 	val_dir[9210*3 + 0] = 0.948047f;	val_dir[9210*3 + 1] = -0.150826f;	val_dir[9210*3 + 2] = -0.280105f;
 	val_dir[9211*3 + 0] = 0.952928f;	val_dir[9211*3 + 1] = -0.127057f;	val_dir[9211*3 + 2] = -0.275290f;
 	val_dir[9212*3 + 0] = 0.957088f;	val_dir[9212*3 + 1] = -0.104031f;	val_dir[9212*3 + 2] = -0.270481f;
 	val_dir[9213*3 + 0] = 0.960585f;	val_dir[9213*3 + 1] = -0.081752f;	val_dir[9213*3 + 2] = -0.265694f;
 	val_dir[9214*3 + 0] = 0.963475f;	val_dir[9214*3 + 1] = -0.060217f;	val_dir[9214*3 + 2] = -0.260941f;
 	val_dir[9215*3 + 0] = 0.965810f;	val_dir[9215*3 + 1] = -0.039421f;	val_dir[9215*3 + 2] = -0.256235f;
 	val_dir[9216*3 + 0] = 0.967641f;	val_dir[9216*3 + 1] = -0.019353f;	val_dir[9216*3 + 2] = -0.251587f;
 	val_dir[9217*3 + 0] = 0.969015f;	val_dir[9217*3 + 1] = 0.0f;	val_dir[9217*3 + 2] = -0.247004f;
 	val_dir[9218*3 + 0] = 0.978177f;	val_dir[9218*3 + 1] = 0.018811f;	val_dir[9218*3 + 2] = -0.206922f;
 	val_dir[9219*3 + 0] = 0.985205f;	val_dir[9219*3 + 1] = 0.037178f;	val_dir[9219*3 + 2] = -0.167299f;
 	val_dir[9220*3 + 0] = 0.990201f;	val_dir[9220*3 + 1] = 0.055011f;	val_dir[9220*3 + 2] = -0.128359f;
 	val_dir[9221*3 + 0] = 0.993291f;	val_dir[9221*3 + 1] = 0.072239f;	val_dir[9221*3 + 2] = -0.090299f;
 	val_dir[9222*3 + 0] = 0.994623f;	val_dir[9222*3 + 1] = 0.088806f;	val_dir[9222*3 + 2] = -0.053283f;
 	val_dir[9223*3 + 0] = 0.994354f;	val_dir[9223*3 + 1] = 0.104669f;	val_dir[9223*3 + 2] = -0.017445f;
 	val_dir[9224*3 + 0] = -0.121891f;	val_dir[9224*3 + 1] = -0.992543f;	val_dir[9224*3 + 2] = 0.0f;
 	val_dir[9225*3 + 0] = -0.106466f;	val_dir[9225*3 + 1] = -0.993683f;	val_dir[9225*3 + 2] = -0.035489f;
 	val_dir[9226*3 + 0] = -0.090299f;	val_dir[9226*3 + 1] = -0.993291f;	val_dir[9226*3 + 2] = -0.072239f;
 	val_dir[9227*3 + 0] = -0.073422f;	val_dir[9227*3 + 1] = -0.991201f;	val_dir[9227*3 + 2] = -0.110133f;
 	val_dir[9228*3 + 0] = -0.055882f;	val_dir[9228*3 + 1] = -0.987254f;	val_dir[9228*3 + 2] = -0.149019f;
 	val_dir[9229*3 + 0] = -0.037743f;	val_dir[9229*3 + 1] = -0.981307f;	val_dir[9229*3 + 2] = -0.188713f;
 	val_dir[9230*3 + 0] = -0.019083f;	val_dir[9230*3 + 1] = -0.973240f;	val_dir[9230*3 + 2] = -0.228998f;
 	val_dir[9231*3 + 0] = 0.0f;	val_dir[9231*3 + 1] = -0.962964f;	val_dir[9231*3 + 2] = -0.269630f;
 	val_dir[9232*3 + 0] = 0.019619f;	val_dir[9232*3 + 1] = -0.961339f;	val_dir[9232*3 + 2] = -0.274668f;
 	val_dir[9233*3 + 0] = 0.039968f;	val_dir[9233*3 + 1] = -0.959233f;	val_dir[9233*3 + 2] = -0.279776f;
 	val_dir[9234*3 + 0] = 0.061059f;	val_dir[9234*3 + 1] = -0.956597f;	val_dir[9234*3 + 2] = -0.284944f;
 	val_dir[9235*3 + 0] = 0.082903f;	val_dir[9235*3 + 1] = -0.953381f;	val_dir[9235*3 + 2] = -0.290159f;
 	val_dir[9236*3 + 0] = 0.105503f;	val_dir[9236*3 + 1] = -0.949528f;	val_dir[9236*3 + 2] = -0.295409f;
 	val_dir[9237*3 + 0] = 0.128861f;	val_dir[9237*3 + 1] = -0.944981f;	val_dir[9237*3 + 2] = -0.300676f;
 	val_dir[9238*3 + 0] = 0.152971f;	val_dir[9238*3 + 1] = -0.939680f;	val_dir[9238*3 + 2] = -0.305942f;
 	val_dir[9239*3 + 0] = 0.177822f;	val_dir[9239*3 + 1] = -0.933564f;	val_dir[9239*3 + 2] = -0.311188f;
 	val_dir[9240*3 + 0] = 0.203393f;	val_dir[9240*3 + 1] = -0.926568f;	val_dir[9240*3 + 2] = -0.316389f;
 	val_dir[9241*3 + 0] = 0.229658f;	val_dir[9241*3 + 1] = -0.918630f;	val_dir[9241*3 + 2] = -0.321521f;
 	val_dir[9242*3 + 0] = 0.256578f;	val_dir[9242*3 + 1] = -0.909687f;	val_dir[9242*3 + 2] = -0.326554f;
 	val_dir[9243*3 + 0] = 0.284108f;	val_dir[9243*3 + 1] = -0.899676f;	val_dir[9243*3 + 2] = -0.331460f;
 	val_dir[9244*3 + 0] = 0.312190f;	val_dir[9244*3 + 1] = -0.888540f;	val_dir[9244*3 + 2] = -0.336204f;
 	val_dir[9245*3 + 0] = 0.340755f;	val_dir[9245*3 + 1] = -0.876226f;	val_dir[9245*3 + 2] = -0.340755f;
 	val_dir[9246*3 + 0] = 0.369723f;	val_dir[9246*3 + 1] = -0.862687f;	val_dir[9246*3 + 2] = -0.345075f;
 	val_dir[9247*3 + 0] = 0.399004f;	val_dir[9247*3 + 1] = -0.847883f;	val_dir[9247*3 + 2] = -0.349128f;
 	val_dir[9248*3 + 0] = 0.428496f;	val_dir[9248*3 + 1] = -0.831786f;	val_dir[9248*3 + 2] = -0.352879f;
 	val_dir[9249*3 + 0] = 0.458088f;	val_dir[9249*3 + 1] = -0.814379f;	val_dir[9249*3 + 2] = -0.356291f;
 	val_dir[9250*3 + 0] = 0.487661f;	val_dir[9250*3 + 1] = -0.795657f;	val_dir[9250*3 + 2] = -0.359329f;
 	val_dir[9251*3 + 0] = 0.517088f;	val_dir[9251*3 + 1] = -0.775632f;	val_dir[9251*3 + 2] = -0.361961f;
 	val_dir[9252*3 + 0] = 0.546238f;	val_dir[9252*3 + 1] = -0.754329f;	val_dir[9252*3 + 2] = -0.364159f;
 	val_dir[9253*3 + 0] = 0.574979f;	val_dir[9253*3 + 1] = -0.731792f;	val_dir[9253*3 + 2] = -0.365896f;
 	val_dir[9254*3 + 0] = 0.603178f;	val_dir[9254*3 + 1] = -0.708079f;	val_dir[9254*3 + 2] = -0.367152f;
 	val_dir[9255*3 + 0] = 0.630706f;	val_dir[9255*3 + 1] = -0.683265f;	val_dir[9255*3 + 2] = -0.367912f;
 	val_dir[9256*3 + 0] = 0.657440f;	val_dir[9256*3 + 1] = -0.657440f;	val_dir[9256*3 + 2] = -0.368166f;
 	val_dir[9257*3 + 0] = 0.683265f;	val_dir[9257*3 + 1] = -0.630706f;	val_dir[9257*3 + 2] = -0.367912f;
 	val_dir[9258*3 + 0] = 0.708079f;	val_dir[9258*3 + 1] = -0.603178f;	val_dir[9258*3 + 2] = -0.367152f;
 	val_dir[9259*3 + 0] = 0.731792f;	val_dir[9259*3 + 1] = -0.574979f;	val_dir[9259*3 + 2] = -0.365896f;
 	val_dir[9260*3 + 0] = 0.754329f;	val_dir[9260*3 + 1] = -0.546238f;	val_dir[9260*3 + 2] = -0.364159f;
 	val_dir[9261*3 + 0] = 0.775632f;	val_dir[9261*3 + 1] = -0.517088f;	val_dir[9261*3 + 2] = -0.361961f;
 	val_dir[9262*3 + 0] = 0.795657f;	val_dir[9262*3 + 1] = -0.487661f;	val_dir[9262*3 + 2] = -0.359329f;
 	val_dir[9263*3 + 0] = 0.814379f;	val_dir[9263*3 + 1] = -0.458088f;	val_dir[9263*3 + 2] = -0.356291f;
 	val_dir[9264*3 + 0] = 0.831786f;	val_dir[9264*3 + 1] = -0.428496f;	val_dir[9264*3 + 2] = -0.352879f;
 	val_dir[9265*3 + 0] = 0.847883f;	val_dir[9265*3 + 1] = -0.399004f;	val_dir[9265*3 + 2] = -0.349128f;
 	val_dir[9266*3 + 0] = 0.862687f;	val_dir[9266*3 + 1] = -0.369723f;	val_dir[9266*3 + 2] = -0.345075f;
 	val_dir[9267*3 + 0] = 0.876226f;	val_dir[9267*3 + 1] = -0.340755f;	val_dir[9267*3 + 2] = -0.340755f;
 	val_dir[9268*3 + 0] = 0.888540f;	val_dir[9268*3 + 1] = -0.312190f;	val_dir[9268*3 + 2] = -0.336204f;
 	val_dir[9269*3 + 0] = 0.899676f;	val_dir[9269*3 + 1] = -0.284108f;	val_dir[9269*3 + 2] = -0.331460f;
 	val_dir[9270*3 + 0] = 0.909687f;	val_dir[9270*3 + 1] = -0.256578f;	val_dir[9270*3 + 2] = -0.326554f;
 	val_dir[9271*3 + 0] = 0.918630f;	val_dir[9271*3 + 1] = -0.229658f;	val_dir[9271*3 + 2] = -0.321521f;
 	val_dir[9272*3 + 0] = 0.926568f;	val_dir[9272*3 + 1] = -0.203393f;	val_dir[9272*3 + 2] = -0.316389f;
 	val_dir[9273*3 + 0] = 0.933564f;	val_dir[9273*3 + 1] = -0.177822f;	val_dir[9273*3 + 2] = -0.311188f;
 	val_dir[9274*3 + 0] = 0.939680f;	val_dir[9274*3 + 1] = -0.152971f;	val_dir[9274*3 + 2] = -0.305942f;
 	val_dir[9275*3 + 0] = 0.944981f;	val_dir[9275*3 + 1] = -0.128861f;	val_dir[9275*3 + 2] = -0.300676f;
 	val_dir[9276*3 + 0] = 0.949528f;	val_dir[9276*3 + 1] = -0.105503f;	val_dir[9276*3 + 2] = -0.295409f;
 	val_dir[9277*3 + 0] = 0.953381f;	val_dir[9277*3 + 1] = -0.082903f;	val_dir[9277*3 + 2] = -0.290159f;
 	val_dir[9278*3 + 0] = 0.956597f;	val_dir[9278*3 + 1] = -0.061059f;	val_dir[9278*3 + 2] = -0.284944f;
 	val_dir[9279*3 + 0] = 0.959233f;	val_dir[9279*3 + 1] = -0.039968f;	val_dir[9279*3 + 2] = -0.279776f;
 	val_dir[9280*3 + 0] = 0.961339f;	val_dir[9280*3 + 1] = -0.019619f;	val_dir[9280*3 + 2] = -0.274668f;
 	val_dir[9281*3 + 0] = 0.962964f;	val_dir[9281*3 + 1] = 0.0f;	val_dir[9281*3 + 2] = -0.269630f;
 	val_dir[9282*3 + 0] = 0.973240f;	val_dir[9282*3 + 1] = 0.019083f;	val_dir[9282*3 + 2] = -0.228998f;
 	val_dir[9283*3 + 0] = 0.981307f;	val_dir[9283*3 + 1] = 0.037743f;	val_dir[9283*3 + 2] = -0.188713f;
 	val_dir[9284*3 + 0] = 0.987254f;	val_dir[9284*3 + 1] = 0.055882f;	val_dir[9284*3 + 2] = -0.149019f;
 	val_dir[9285*3 + 0] = 0.991201f;	val_dir[9285*3 + 1] = 0.073422f;	val_dir[9285*3 + 2] = -0.110133f;
 	val_dir[9286*3 + 0] = 0.993291f;	val_dir[9286*3 + 1] = 0.090299f;	val_dir[9286*3 + 2] = -0.072239f;
 	val_dir[9287*3 + 0] = 0.993683f;	val_dir[9287*3 + 1] = 0.106466f;	val_dir[9287*3 + 2] = -0.035489f;
 	val_dir[9288*3 + 0] = 0.992543f;	val_dir[9288*3 + 1] = 0.121891f;	val_dir[9288*3 + 2] = 0.0f;
 	val_dir[9289*3 + 0] = -0.124015f;	val_dir[9289*3 + 1] = -0.992122f;	val_dir[9289*3 + 2] = -0.017716f;
 	val_dir[9290*3 + 0] = -0.108288f;	val_dir[9290*3 + 1] = -0.992644f;	val_dir[9290*3 + 2] = -0.054144f;
 	val_dir[9291*3 + 0] = -0.091809f;	val_dir[9291*3 + 1] = -0.991535f;	val_dir[9291*3 + 2] = -0.091809f;
 	val_dir[9292*3 + 0] = -0.074613f;	val_dir[9292*3 + 1] = -0.988627f;	val_dir[9292*3 + 2] = -0.130573f;
 	val_dir[9293*3 + 0] = -0.056756f;	val_dir[9293*3 + 1] = -0.983762f;	val_dir[9293*3 + 2] = -0.170267f;
 	val_dir[9294*3 + 0] = -0.038306f;	val_dir[9294*3 + 1] = -0.976804f;	val_dir[9294*3 + 2] = -0.210683f;
 	val_dir[9295*3 + 0] = -0.019353f;	val_dir[9295*3 + 1] = -0.967641f;	val_dir[9295*3 + 2] = -0.251587f;
 	val_dir[9296*3 + 0] = 0.0f;	val_dir[9296*3 + 1] = -0.95620f;	val_dir[9296*3 + 2] = -0.292714f;
 	val_dir[9297*3 + 0] = 0.019881f;	val_dir[9297*3 + 1] = -0.954291f;	val_dir[9297*3 + 2] = -0.298216f;
 	val_dir[9298*3 + 0] = 0.040505f;	val_dir[9298*3 + 1] = -0.951877f;	val_dir[9298*3 + 2] = -0.303791f;
 	val_dir[9299*3 + 0] = 0.061885f;	val_dir[9299*3 + 1] = -0.948908f;	val_dir[9299*3 + 2] = -0.309426f;
 	val_dir[9300*3 + 0] = 0.084029f;	val_dir[9300*3 + 1] = -0.945328f;	val_dir[9300*3 + 2] = -0.315109f;
 	val_dir[9301*3 + 0] = 0.106941f;	val_dir[9301*3 + 1] = -0.941082f;	val_dir[9301*3 + 2] = -0.320824f;
 	val_dir[9302*3 + 0] = 0.130620f;	val_dir[9302*3 + 1] = -0.936111f;	val_dir[9302*3 + 2] = -0.326550f;
 	val_dir[9303*3 + 0] = 0.155059f;	val_dir[9303*3 + 1] = -0.930352f;	val_dir[9303*3 + 2] = -0.332269f;
 	val_dir[9304*3 + 0] = 0.180242f;	val_dir[9304*3 + 1] = -0.923742f;	val_dir[9304*3 + 2] = -0.337954f;
 	val_dir[9305*3 + 0] = 0.206149f;	val_dir[9305*3 + 1] = -0.916217f;	val_dir[9305*3 + 2] = -0.343582f;
 	val_dir[9306*3 + 0] = 0.232747f;	val_dir[9306*3 + 1] = -0.907713f;	val_dir[9306*3 + 2] = -0.349121f;
 	val_dir[9307*3 + 0] = 0.259996f;	val_dir[9307*3 + 1] = -0.898167f;	val_dir[9307*3 + 2] = -0.354540f;
 	val_dir[9308*3 + 0] = 0.287843f;	val_dir[9308*3 + 1] = -0.887517f;	val_dir[9308*3 + 2] = -0.359804f;
 	val_dir[9309*3 + 0] = 0.316228f;	val_dir[9309*3 + 1] = -0.875708f;	val_dir[9309*3 + 2] = -0.364878f;
 	val_dir[9310*3 + 0] = 0.345075f;	val_dir[9310*3 + 1] = -0.862687f;	val_dir[9310*3 + 2] = -0.369723f;
 	val_dir[9311*3 + 0] = 0.374299f;	val_dir[9311*3 + 1] = -0.848411f;	val_dir[9311*3 + 2] = -0.374299f;
 	val_dir[9312*3 + 0] = 0.403804f;	val_dir[9312*3 + 1] = -0.832845f;	val_dir[9312*3 + 2] = -0.378566f;
 	val_dir[9313*3 + 0] = 0.433482f;	val_dir[9313*3 + 1] = -0.815966f;	val_dir[9313*3 + 2] = -0.382484f;
 	val_dir[9314*3 + 0] = 0.463217f;	val_dir[9314*3 + 1] = -0.797762f;	val_dir[9314*3 + 2] = -0.386014f;
 	val_dir[9315*3 + 0] = 0.492883f;	val_dir[9315*3 + 1] = -0.778237f;	val_dir[9315*3 + 2] = -0.389118f;
 	val_dir[9316*3 + 0] = 0.522352f;	val_dir[9316*3 + 1] = -0.757410f;	val_dir[9316*3 + 2] = -0.391764f;
 	val_dir[9317*3 + 0] = 0.551487f;	val_dir[9317*3 + 1] = -0.735316f;	val_dir[9317*3 + 2] = -0.393919f;
 	val_dir[9318*3 + 0] = 0.580154f;	val_dir[9318*3 + 1] = -0.712007f;	val_dir[9318*3 + 2] = -0.395559f;
 	val_dir[9319*3 + 0] = 0.608219f;	val_dir[9319*3 + 1] = -0.687552f;	val_dir[9319*3 + 2] = -0.396664f;
 	val_dir[9320*3 + 0] = 0.635553f;	val_dir[9320*3 + 1] = -0.662034f;	val_dir[9320*3 + 2] = -0.397220f;
 	val_dir[9321*3 + 0] = 0.662034f;	val_dir[9321*3 + 1] = -0.635553f;	val_dir[9321*3 + 2] = -0.397220f;
 	val_dir[9322*3 + 0] = 0.687552f;	val_dir[9322*3 + 1] = -0.608219f;	val_dir[9322*3 + 2] = -0.396664f;
 	val_dir[9323*3 + 0] = 0.712007f;	val_dir[9323*3 + 1] = -0.580154f;	val_dir[9323*3 + 2] = -0.395559f;
 	val_dir[9324*3 + 0] = 0.735316f;	val_dir[9324*3 + 1] = -0.551487f;	val_dir[9324*3 + 2] = -0.393919f;
 	val_dir[9325*3 + 0] = 0.757410f;	val_dir[9325*3 + 1] = -0.522352f;	val_dir[9325*3 + 2] = -0.391764f;
 	val_dir[9326*3 + 0] = 0.778237f;	val_dir[9326*3 + 1] = -0.492883f;	val_dir[9326*3 + 2] = -0.389118f;
 	val_dir[9327*3 + 0] = 0.797762f;	val_dir[9327*3 + 1] = -0.463217f;	val_dir[9327*3 + 2] = -0.386014f;
 	val_dir[9328*3 + 0] = 0.815966f;	val_dir[9328*3 + 1] = -0.433482f;	val_dir[9328*3 + 2] = -0.382484f;
 	val_dir[9329*3 + 0] = 0.832845f;	val_dir[9329*3 + 1] = -0.403804f;	val_dir[9329*3 + 2] = -0.378566f;
 	val_dir[9330*3 + 0] = 0.848411f;	val_dir[9330*3 + 1] = -0.374299f;	val_dir[9330*3 + 2] = -0.374299f;
 	val_dir[9331*3 + 0] = 0.862687f;	val_dir[9331*3 + 1] = -0.345075f;	val_dir[9331*3 + 2] = -0.369723f;
 	val_dir[9332*3 + 0] = 0.875708f;	val_dir[9332*3 + 1] = -0.316228f;	val_dir[9332*3 + 2] = -0.364878f;
 	val_dir[9333*3 + 0] = 0.887517f;	val_dir[9333*3 + 1] = -0.287843f;	val_dir[9333*3 + 2] = -0.359804f;
 	val_dir[9334*3 + 0] = 0.898167f;	val_dir[9334*3 + 1] = -0.259996f;	val_dir[9334*3 + 2] = -0.354540f;
 	val_dir[9335*3 + 0] = 0.907713f;	val_dir[9335*3 + 1] = -0.232747f;	val_dir[9335*3 + 2] = -0.349121f;
 	val_dir[9336*3 + 0] = 0.916217f;	val_dir[9336*3 + 1] = -0.206149f;	val_dir[9336*3 + 2] = -0.343582f;
 	val_dir[9337*3 + 0] = 0.923742f;	val_dir[9337*3 + 1] = -0.180242f;	val_dir[9337*3 + 2] = -0.337954f;
 	val_dir[9338*3 + 0] = 0.930352f;	val_dir[9338*3 + 1] = -0.155059f;	val_dir[9338*3 + 2] = -0.332269f;
 	val_dir[9339*3 + 0] = 0.936111f;	val_dir[9339*3 + 1] = -0.130620f;	val_dir[9339*3 + 2] = -0.326550f;
 	val_dir[9340*3 + 0] = 0.941082f;	val_dir[9340*3 + 1] = -0.106941f;	val_dir[9340*3 + 2] = -0.320824f;
 	val_dir[9341*3 + 0] = 0.945328f;	val_dir[9341*3 + 1] = -0.084029f;	val_dir[9341*3 + 2] = -0.315109f;
 	val_dir[9342*3 + 0] = 0.948908f;	val_dir[9342*3 + 1] = -0.061885f;	val_dir[9342*3 + 2] = -0.309426f;
 	val_dir[9343*3 + 0] = 0.951877f;	val_dir[9343*3 + 1] = -0.040505f;	val_dir[9343*3 + 2] = -0.303791f;
 	val_dir[9344*3 + 0] = 0.954291f;	val_dir[9344*3 + 1] = -0.019881f;	val_dir[9344*3 + 2] = -0.298216f;
 	val_dir[9345*3 + 0] = 0.95620f;	val_dir[9345*3 + 1] = 0.0f;	val_dir[9345*3 + 2] = -0.292714f;
 	val_dir[9346*3 + 0] = 0.967641f;	val_dir[9346*3 + 1] = 0.019353f;	val_dir[9346*3 + 2] = -0.251587f;
 	val_dir[9347*3 + 0] = 0.976804f;	val_dir[9347*3 + 1] = 0.038306f;	val_dir[9347*3 + 2] = -0.210683f;
 	val_dir[9348*3 + 0] = 0.983762f;	val_dir[9348*3 + 1] = 0.056756f;	val_dir[9348*3 + 2] = -0.170267f;
 	val_dir[9349*3 + 0] = 0.988627f;	val_dir[9349*3 + 1] = 0.074613f;	val_dir[9349*3 + 2] = -0.130573f;
 	val_dir[9350*3 + 0] = 0.991535f;	val_dir[9350*3 + 1] = 0.091809f;	val_dir[9350*3 + 2] = -0.091809f;
 	val_dir[9351*3 + 0] = 0.992644f;	val_dir[9351*3 + 1] = 0.108288f;	val_dir[9351*3 + 2] = -0.054144f;
 	val_dir[9352*3 + 0] = 0.992122f;	val_dir[9352*3 + 1] = 0.124015f;	val_dir[9352*3 + 2] = -0.017716f;
 	val_dir[9353*3 + 0] = -0.141421f;	val_dir[9353*3 + 1] = -0.989949f;	val_dir[9353*3 + 2] = 0.0f;
 	val_dir[9354*3 + 0] = -0.126172f;	val_dir[9354*3 + 1] = -0.991353f;	val_dir[9354*3 + 2] = -0.036049f;
 	val_dir[9355*3 + 0] = -0.110133f;	val_dir[9355*3 + 1] = -0.991201f;	val_dir[9355*3 + 2] = -0.073422f;
 	val_dir[9356*3 + 0] = -0.093332f;	val_dir[9356*3 + 1] = -0.989316f;	val_dir[9356*3 + 2] = -0.111998f;
 	val_dir[9357*3 + 0] = -0.075810f;	val_dir[9357*3 + 1] = -0.985527f;	val_dir[9357*3 + 2] = -0.151620f;
 	val_dir[9358*3 + 0] = -0.057628f;	val_dir[9358*3 + 1] = -0.979683f;	val_dir[9358*3 + 2] = -0.192095f;
 	val_dir[9359*3 + 0] = -0.038866f;	val_dir[9359*3 + 1] = -0.971653f;	val_dir[9359*3 + 2] = -0.233197f;
 	val_dir[9360*3 + 0] = -0.019619f;	val_dir[9360*3 + 1] = -0.961339f;	val_dir[9360*3 + 2] = -0.274668f;
 	val_dir[9361*3 + 0] = 0.0f;	val_dir[9361*3 + 1] = -0.948683f;	val_dir[9361*3 + 2] = -0.316228f;
 	val_dir[9362*3 + 0] = 0.020137f;	val_dir[9362*3 + 1] = -0.946458f;	val_dir[9362*3 + 2] = -0.322198f;
 	val_dir[9363*3 + 0] = 0.041030f;	val_dir[9363*3 + 1] = -0.943701f;	val_dir[9363*3 + 2] = -0.328244f;
 	val_dir[9364*3 + 0] = 0.062691f;	val_dir[9364*3 + 1] = -0.940361f;	val_dir[9364*3 + 2] = -0.334351f;
 	val_dir[9365*3 + 0] = 0.085126f;	val_dir[9365*3 + 1] = -0.936382f;	val_dir[9365*3 + 2] = -0.340503f;
 	val_dir[9366*3 + 0] = 0.108338f;	val_dir[9366*3 + 1] = -0.931705f;	val_dir[9366*3 + 2] = -0.346681f;
 	val_dir[9367*3 + 0] = 0.132324f;	val_dir[9367*3 + 1] = -0.926270f;	val_dir[9367*3 + 2] = -0.352865f;
 	val_dir[9368*3 + 0] = 0.157075f;	val_dir[9368*3 + 1] = -0.920014f;	val_dir[9368*3 + 2] = -0.359030f;
 	val_dir[9369*3 + 0] = 0.182574f;	val_dir[9369*3 + 1] = -0.912871f;	val_dir[9369*3 + 2] = -0.365148f;
 	val_dir[9370*3 + 0] = 0.208795f;	val_dir[9370*3 + 1] = -0.904777f;	val_dir[9370*3 + 2] = -0.371191f;
 	val_dir[9371*3 + 0] = 0.235702f;	val_dir[9371*3 + 1] = -0.895669f;	val_dir[9371*3 + 2] = -0.377124f;
 	val_dir[9372*3 + 0] = 0.263251f;	val_dir[9372*3 + 1] = -0.885482f;	val_dir[9372*3 + 2] = -0.382911f;
 	val_dir[9373*3 + 0] = 0.291386f;	val_dir[9373*3 + 1] = -0.874157f;	val_dir[9373*3 + 2] = -0.388514f;
 	val_dir[9374*3 + 0] = 0.320038f;	val_dir[9374*3 + 1] = -0.861640f;	val_dir[9374*3 + 2] = -0.393893f;
 	val_dir[9375*3 + 0] = 0.349128f;	val_dir[9375*3 + 1] = -0.847883f;	val_dir[9375*3 + 2] = -0.399004f;
 	val_dir[9376*3 + 0] = 0.378566f;	val_dir[9376*3 + 1] = -0.832845f;	val_dir[9376*3 + 2] = -0.403804f;
 	val_dir[9377*3 + 0] = 0.408248f;	val_dir[9377*3 + 1] = -0.816497f;	val_dir[9377*3 + 2] = -0.408248f;
 	val_dir[9378*3 + 0] = 0.438063f;	val_dir[9378*3 + 1] = -0.798820f;	val_dir[9378*3 + 2] = -0.412294f;
 	val_dir[9379*3 + 0] = 0.467888f;	val_dir[9379*3 + 1] = -0.779813f;	val_dir[9379*3 + 2] = -0.41590f;
 	val_dir[9380*3 + 0] = 0.497594f;	val_dir[9380*3 + 1] = -0.759485f;	val_dir[9380*3 + 2] = -0.419026f;
 	val_dir[9381*3 + 0] = 0.527046f;	val_dir[9381*3 + 1] = -0.737865f;	val_dir[9381*3 + 2] = -0.421637f;
 	val_dir[9382*3 + 0] = 0.556108f;	val_dir[9382*3 + 1] = -0.714997f;	val_dir[9382*3 + 2] = -0.423702f;
 	val_dir[9383*3 + 0] = 0.584643f;	val_dir[9383*3 + 1] = -0.690942f;	val_dir[9383*3 + 2] = -0.425195f;
 	val_dir[9384*3 + 0] = 0.612517f;	val_dir[9384*3 + 1] = -0.665780f;	val_dir[9384*3 + 2] = -0.426099f;
 	val_dir[9385*3 + 0] = 0.639602f;	val_dir[9385*3 + 1] = -0.639602f;	val_dir[9385*3 + 2] = -0.426401f;
 	val_dir[9386*3 + 0] = 0.665780f;	val_dir[9386*3 + 1] = -0.612517f;	val_dir[9386*3 + 2] = -0.426099f;
 	val_dir[9387*3 + 0] = 0.690942f;	val_dir[9387*3 + 1] = -0.584643f;	val_dir[9387*3 + 2] = -0.425195f;
 	val_dir[9388*3 + 0] = 0.714997f;	val_dir[9388*3 + 1] = -0.556108f;	val_dir[9388*3 + 2] = -0.423702f;
 	val_dir[9389*3 + 0] = 0.737865f;	val_dir[9389*3 + 1] = -0.527046f;	val_dir[9389*3 + 2] = -0.421637f;
 	val_dir[9390*3 + 0] = 0.759485f;	val_dir[9390*3 + 1] = -0.497594f;	val_dir[9390*3 + 2] = -0.419026f;
 	val_dir[9391*3 + 0] = 0.779813f;	val_dir[9391*3 + 1] = -0.467888f;	val_dir[9391*3 + 2] = -0.41590f;
 	val_dir[9392*3 + 0] = 0.798820f;	val_dir[9392*3 + 1] = -0.438063f;	val_dir[9392*3 + 2] = -0.412294f;
 	val_dir[9393*3 + 0] = 0.816497f;	val_dir[9393*3 + 1] = -0.408248f;	val_dir[9393*3 + 2] = -0.408248f;
 	val_dir[9394*3 + 0] = 0.832845f;	val_dir[9394*3 + 1] = -0.378566f;	val_dir[9394*3 + 2] = -0.403804f;
 	val_dir[9395*3 + 0] = 0.847883f;	val_dir[9395*3 + 1] = -0.349128f;	val_dir[9395*3 + 2] = -0.399004f;
 	val_dir[9396*3 + 0] = 0.861640f;	val_dir[9396*3 + 1] = -0.320038f;	val_dir[9396*3 + 2] = -0.393893f;
 	val_dir[9397*3 + 0] = 0.874157f;	val_dir[9397*3 + 1] = -0.291386f;	val_dir[9397*3 + 2] = -0.388514f;
 	val_dir[9398*3 + 0] = 0.885482f;	val_dir[9398*3 + 1] = -0.263251f;	val_dir[9398*3 + 2] = -0.382911f;
 	val_dir[9399*3 + 0] = 0.895669f;	val_dir[9399*3 + 1] = -0.235702f;	val_dir[9399*3 + 2] = -0.377124f;
 	val_dir[9400*3 + 0] = 0.904777f;	val_dir[9400*3 + 1] = -0.208795f;	val_dir[9400*3 + 2] = -0.371191f;
 	val_dir[9401*3 + 0] = 0.912871f;	val_dir[9401*3 + 1] = -0.182574f;	val_dir[9401*3 + 2] = -0.365148f;
 	val_dir[9402*3 + 0] = 0.920014f;	val_dir[9402*3 + 1] = -0.157075f;	val_dir[9402*3 + 2] = -0.359030f;
 	val_dir[9403*3 + 0] = 0.926270f;	val_dir[9403*3 + 1] = -0.132324f;	val_dir[9403*3 + 2] = -0.352865f;
 	val_dir[9404*3 + 0] = 0.931705f;	val_dir[9404*3 + 1] = -0.108338f;	val_dir[9404*3 + 2] = -0.346681f;
 	val_dir[9405*3 + 0] = 0.936382f;	val_dir[9405*3 + 1] = -0.085126f;	val_dir[9405*3 + 2] = -0.340503f;
 	val_dir[9406*3 + 0] = 0.940361f;	val_dir[9406*3 + 1] = -0.062691f;	val_dir[9406*3 + 2] = -0.334351f;
 	val_dir[9407*3 + 0] = 0.943701f;	val_dir[9407*3 + 1] = -0.041030f;	val_dir[9407*3 + 2] = -0.328244f;
 	val_dir[9408*3 + 0] = 0.946458f;	val_dir[9408*3 + 1] = -0.020137f;	val_dir[9408*3 + 2] = -0.322198f;
 	val_dir[9409*3 + 0] = 0.948683f;	val_dir[9409*3 + 1] = 0.0f;	val_dir[9409*3 + 2] = -0.316228f;
 	val_dir[9410*3 + 0] = 0.961339f;	val_dir[9410*3 + 1] = 0.019619f;	val_dir[9410*3 + 2] = -0.274668f;
 	val_dir[9411*3 + 0] = 0.971653f;	val_dir[9411*3 + 1] = 0.038866f;	val_dir[9411*3 + 2] = -0.233197f;
 	val_dir[9412*3 + 0] = 0.979683f;	val_dir[9412*3 + 1] = 0.057628f;	val_dir[9412*3 + 2] = -0.192095f;
 	val_dir[9413*3 + 0] = 0.985527f;	val_dir[9413*3 + 1] = 0.075810f;	val_dir[9413*3 + 2] = -0.151620f;
 	val_dir[9414*3 + 0] = 0.989316f;	val_dir[9414*3 + 1] = 0.093332f;	val_dir[9414*3 + 2] = -0.111998f;
 	val_dir[9415*3 + 0] = 0.991201f;	val_dir[9415*3 + 1] = 0.110133f;	val_dir[9415*3 + 2] = -0.073422f;
 	val_dir[9416*3 + 0] = 0.991353f;	val_dir[9416*3 + 1] = 0.126172f;	val_dir[9416*3 + 2] = -0.036049f;
 	val_dir[9417*3 + 0] = 0.989949f;	val_dir[9417*3 + 1] = 0.141421f;	val_dir[9417*3 + 2] = 0.0f;
 	val_dir[9418*3 + 0] = -0.143917f;	val_dir[9418*3 + 1] = -0.989426f;	val_dir[9418*3 + 2] = -0.017990f;
 	val_dir[9419*3 + 0] = -0.128359f;	val_dir[9419*3 + 1] = -0.990201f;	val_dir[9419*3 + 2] = -0.055011f;
 	val_dir[9420*3 + 0] = -0.111998f;	val_dir[9420*3 + 1] = -0.989316f;	val_dir[9420*3 + 2] = -0.093332f;
 	val_dir[9421*3 + 0] = -0.094865f;	val_dir[9421*3 + 1] = -0.986591f;	val_dir[9421*3 + 2] = -0.132810f;
 	val_dir[9422*3 + 0] = -0.077009f;	val_dir[9422*3 + 1] = -0.981859f;	val_dir[9422*3 + 2] = -0.173269f;
 	val_dir[9423*3 + 0] = -0.058498f;	val_dir[9423*3 + 1] = -0.974972f;	val_dir[9423*3 + 2] = -0.214494f;
 	val_dir[9424*3 + 0] = -0.039421f;	val_dir[9424*3 + 1] = -0.965810f;	val_dir[9424*3 + 2] = -0.256235f;
 	val_dir[9425*3 + 0] = -0.019881f;	val_dir[9425*3 + 1] = -0.954291f;	val_dir[9425*3 + 2] = -0.298216f;
 	val_dir[9426*3 + 0] = 0.0f;	val_dir[9426*3 + 1] = -0.940376f;	val_dir[9426*3 + 2] = -0.340136f;
 	val_dir[9427*3 + 0] = 0.020387f;	val_dir[9427*3 + 1] = -0.93780f;	val_dir[9427*3 + 2] = -0.346578f;
 	val_dir[9428*3 + 0] = 0.041541f;	val_dir[9428*3 + 1] = -0.934665f;	val_dir[9428*3 + 2] = -0.353096f;
 	val_dir[9429*3 + 0] = 0.063472f;	val_dir[9429*3 + 1] = -0.930917f;	val_dir[9429*3 + 2] = -0.359673f;
 	val_dir[9430*3 + 0] = 0.086186f;	val_dir[9430*3 + 1] = -0.92650f;	val_dir[9430*3 + 2] = -0.366291f;
 	val_dir[9431*3 + 0] = 0.109685f;	val_dir[9431*3 + 1] = -0.921354f;	val_dir[9431*3 + 2] = -0.372929f;
 	val_dir[9432*3 + 0] = 0.133963f;	val_dir[9432*3 + 1] = -0.915416f;	val_dir[9432*3 + 2] = -0.379563f;
 	val_dir[9433*3 + 0] = 0.159009f;	val_dir[9433*3 + 1] = -0.908622f;	val_dir[9433*3 + 2] = -0.386164f;
 	val_dir[9434*3 + 0] = 0.184801f;	val_dir[9434*3 + 1] = -0.900907f;	val_dir[9434*3 + 2] = -0.392703f;
 	val_dir[9435*3 + 0] = 0.211312f;	val_dir[9435*3 + 1] = -0.892206f;	val_dir[9435*3 + 2] = -0.399145f;
 	val_dir[9436*3 + 0] = 0.238501f;	val_dir[9436*3 + 1] = -0.882454f;	val_dir[9436*3 + 2] = -0.405452f;
 	val_dir[9437*3 + 0] = 0.266320f;	val_dir[9437*3 + 1] = -0.871592f;	val_dir[9437*3 + 2] = -0.411585f;
 	val_dir[9438*3 + 0] = 0.294706f;	val_dir[9438*3 + 1] = -0.859559f;	val_dir[9438*3 + 2] = -0.41750f;
 	val_dir[9439*3 + 0] = 0.323587f;	val_dir[9439*3 + 1] = -0.846305f;	val_dir[9439*3 + 2] = -0.423153f;
 	val_dir[9440*3 + 0] = 0.352879f;	val_dir[9440*3 + 1] = -0.831786f;	val_dir[9440*3 + 2] = -0.428496f;
 	val_dir[9441*3 + 0] = 0.382484f;	val_dir[9441*3 + 1] = -0.815966f;	val_dir[9441*3 + 2] = -0.433482f;
 	val_dir[9442*3 + 0] = 0.412294f;	val_dir[9442*3 + 1] = -0.798820f;	val_dir[9442*3 + 2] = -0.438063f;
 	val_dir[9443*3 + 0] = 0.442193f;	val_dir[9443*3 + 1] = -0.780340f;	val_dir[9443*3 + 2] = -0.442193f;
 	val_dir[9444*3 + 0] = 0.472053f;	val_dir[9444*3 + 1] = -0.760529f;	val_dir[9444*3 + 2] = -0.445827f;
 	val_dir[9445*3 + 0] = 0.501740f;	val_dir[9445*3 + 1] = -0.739407f;	val_dir[9445*3 + 2] = -0.448926f;
 	val_dir[9446*3 + 0] = 0.531119f;	val_dir[9446*3 + 1] = -0.717011f;	val_dir[9446*3 + 2] = -0.451451f;
 	val_dir[9447*3 + 0] = 0.560050f;	val_dir[9447*3 + 1] = -0.693395f;	val_dir[9447*3 + 2] = -0.453374f;
 	val_dir[9448*3 + 0] = 0.588395f;	val_dir[9448*3 + 1] = -0.668631f;	val_dir[9448*3 + 2] = -0.454669f;
 	val_dir[9449*3 + 0] = 0.616022f;	val_dir[9449*3 + 1] = -0.642806f;	val_dir[9449*3 + 2] = -0.455321f;
 	val_dir[9450*3 + 0] = 0.642806f;	val_dir[9450*3 + 1] = -0.616022f;	val_dir[9450*3 + 2] = -0.455321f;
 	val_dir[9451*3 + 0] = 0.668631f;	val_dir[9451*3 + 1] = -0.588395f;	val_dir[9451*3 + 2] = -0.454669f;
 	val_dir[9452*3 + 0] = 0.693395f;	val_dir[9452*3 + 1] = -0.560050f;	val_dir[9452*3 + 2] = -0.453374f;
 	val_dir[9453*3 + 0] = 0.717011f;	val_dir[9453*3 + 1] = -0.531119f;	val_dir[9453*3 + 2] = -0.451451f;
 	val_dir[9454*3 + 0] = 0.739407f;	val_dir[9454*3 + 1] = -0.501740f;	val_dir[9454*3 + 2] = -0.448926f;
 	val_dir[9455*3 + 0] = 0.760529f;	val_dir[9455*3 + 1] = -0.472053f;	val_dir[9455*3 + 2] = -0.445827f;
 	val_dir[9456*3 + 0] = 0.780340f;	val_dir[9456*3 + 1] = -0.442193f;	val_dir[9456*3 + 2] = -0.442193f;
 	val_dir[9457*3 + 0] = 0.798820f;	val_dir[9457*3 + 1] = -0.412294f;	val_dir[9457*3 + 2] = -0.438063f;
 	val_dir[9458*3 + 0] = 0.815966f;	val_dir[9458*3 + 1] = -0.382484f;	val_dir[9458*3 + 2] = -0.433482f;
 	val_dir[9459*3 + 0] = 0.831786f;	val_dir[9459*3 + 1] = -0.352879f;	val_dir[9459*3 + 2] = -0.428496f;
 	val_dir[9460*3 + 0] = 0.846305f;	val_dir[9460*3 + 1] = -0.323587f;	val_dir[9460*3 + 2] = -0.423153f;
 	val_dir[9461*3 + 0] = 0.859559f;	val_dir[9461*3 + 1] = -0.294706f;	val_dir[9461*3 + 2] = -0.41750f;
 	val_dir[9462*3 + 0] = 0.871592f;	val_dir[9462*3 + 1] = -0.266320f;	val_dir[9462*3 + 2] = -0.411585f;
 	val_dir[9463*3 + 0] = 0.882454f;	val_dir[9463*3 + 1] = -0.238501f;	val_dir[9463*3 + 2] = -0.405452f;
 	val_dir[9464*3 + 0] = 0.892206f;	val_dir[9464*3 + 1] = -0.211312f;	val_dir[9464*3 + 2] = -0.399145f;
 	val_dir[9465*3 + 0] = 0.900907f;	val_dir[9465*3 + 1] = -0.184801f;	val_dir[9465*3 + 2] = -0.392703f;
 	val_dir[9466*3 + 0] = 0.908622f;	val_dir[9466*3 + 1] = -0.159009f;	val_dir[9466*3 + 2] = -0.386164f;
 	val_dir[9467*3 + 0] = 0.915416f;	val_dir[9467*3 + 1] = -0.133963f;	val_dir[9467*3 + 2] = -0.379563f;
 	val_dir[9468*3 + 0] = 0.921354f;	val_dir[9468*3 + 1] = -0.109685f;	val_dir[9468*3 + 2] = -0.372929f;
 	val_dir[9469*3 + 0] = 0.92650f;	val_dir[9469*3 + 1] = -0.086186f;	val_dir[9469*3 + 2] = -0.366291f;
 	val_dir[9470*3 + 0] = 0.930917f;	val_dir[9470*3 + 1] = -0.063472f;	val_dir[9470*3 + 2] = -0.359673f;
 	val_dir[9471*3 + 0] = 0.934665f;	val_dir[9471*3 + 1] = -0.041541f;	val_dir[9471*3 + 2] = -0.353096f;
 	val_dir[9472*3 + 0] = 0.93780f;	val_dir[9472*3 + 1] = -0.020387f;	val_dir[9472*3 + 2] = -0.346578f;
 	val_dir[9473*3 + 0] = 0.940376f;	val_dir[9473*3 + 1] = 0.0f;	val_dir[9473*3 + 2] = -0.340136f;
 	val_dir[9474*3 + 0] = 0.954291f;	val_dir[9474*3 + 1] = 0.019881f;	val_dir[9474*3 + 2] = -0.298216f;
 	val_dir[9475*3 + 0] = 0.965810f;	val_dir[9475*3 + 1] = 0.039421f;	val_dir[9475*3 + 2] = -0.256235f;
 	val_dir[9476*3 + 0] = 0.974972f;	val_dir[9476*3 + 1] = 0.058498f;	val_dir[9476*3 + 2] = -0.214494f;
 	val_dir[9477*3 + 0] = 0.981859f;	val_dir[9477*3 + 1] = 0.077009f;	val_dir[9477*3 + 2] = -0.173269f;
 	val_dir[9478*3 + 0] = 0.986591f;	val_dir[9478*3 + 1] = 0.094865f;	val_dir[9478*3 + 2] = -0.132810f;
 	val_dir[9479*3 + 0] = 0.989316f;	val_dir[9479*3 + 1] = 0.111998f;	val_dir[9479*3 + 2] = -0.093332f;
 	val_dir[9480*3 + 0] = 0.990201f;	val_dir[9480*3 + 1] = 0.128359f;	val_dir[9480*3 + 2] = -0.055011f;
 	val_dir[9481*3 + 0] = 0.989426f;	val_dir[9481*3 + 1] = 0.143917f;	val_dir[9481*3 + 2] = -0.017990f;
 	val_dir[9482*3 + 0] = -0.161489f;	val_dir[9482*3 + 1] = -0.986875f;	val_dir[9482*3 + 2] = 0.0f;
 	val_dir[9483*3 + 0] = -0.146450f;	val_dir[9483*3 + 1] = -0.988540f;	val_dir[9483*3 + 2] = -0.036613f;
 	val_dir[9484*3 + 0] = -0.130573f;	val_dir[9484*3 + 1] = -0.988627f;	val_dir[9484*3 + 2] = -0.074613f;
 	val_dir[9485*3 + 0] = -0.113878f;	val_dir[9485*3 + 1] = -0.986947f;	val_dir[9485*3 + 2] = -0.113878f;
 	val_dir[9486*3 + 0] = -0.096404f;	val_dir[9486*3 + 1] = -0.983318f;	val_dir[9486*3 + 2] = -0.154246f;
 	val_dir[9487*3 + 0] = -0.078206f;	val_dir[9487*3 + 1] = -0.977577f;	val_dir[9487*3 + 2] = -0.195515f;
 	val_dir[9488*3 + 0] = -0.059362f;	val_dir[9488*3 + 1] = -0.969584f;	val_dir[9488*3 + 2] = -0.237449f;
 	val_dir[9489*3 + 0] = -0.039968f;	val_dir[9489*3 + 1] = -0.959233f;	val_dir[9489*3 + 2] = -0.279776f;
 	val_dir[9490*3 + 0] = -0.020137f;	val_dir[9490*3 + 1] = -0.946458f;	val_dir[9490*3 + 2] = -0.322198f;
 	val_dir[9491*3 + 0] = 0.0f;	val_dir[9491*3 + 1] = -0.931243f;	val_dir[9491*3 + 2] = -0.364399f;
 	val_dir[9492*3 + 0] = 0.020628f;	val_dir[9492*3 + 1] = -0.928279f;	val_dir[9492*3 + 2] = -0.371312f;
 	val_dir[9493*3 + 0] = 0.042033f;	val_dir[9493*3 + 1] = -0.924729f;	val_dir[9493*3 + 2] = -0.378298f;
 	val_dir[9494*3 + 0] = 0.064223f;	val_dir[9494*3 + 1] = -0.920537f;	val_dir[9494*3 + 2] = -0.385341f;
 	val_dir[9495*3 + 0] = 0.087204f;	val_dir[9495*3 + 1] = -0.915644f;	val_dir[9495*3 + 2] = -0.392419f;
 	val_dir[9496*3 + 0] = 0.110974f;	val_dir[9496*3 + 1] = -0.909988f;	val_dir[9496*3 + 2] = -0.399507f;
 	val_dir[9497*3 + 0] = 0.135526f;	val_dir[9497*3 + 1] = -0.903508f;	val_dir[9497*3 + 2] = -0.406579f;
 	val_dir[9498*3 + 0] = 0.160845f;	val_dir[9498*3 + 1] = -0.896137f;	val_dir[9498*3 + 2] = -0.413602f;
 	val_dir[9499*3 + 0] = 0.186908f;	val_dir[9499*3 + 1] = -0.887812f;	val_dir[9499*3 + 2] = -0.420542f;
 	val_dir[9500*3 + 0] = 0.213681f;	val_dir[9500*3 + 1] = -0.878466f;	val_dir[9500*3 + 2] = -0.427362f;
 	val_dir[9501*3 + 0] = 0.241121f;	val_dir[9501*3 + 1] = -0.868037f;	val_dir[9501*3 + 2] = -0.434019f;
 	val_dir[9502*3 + 0] = 0.269175f;	val_dir[9502*3 + 1] = -0.856465f;	val_dir[9502*3 + 2] = -0.440468f;
 	val_dir[9503*3 + 0] = 0.297775f;	val_dir[9503*3 + 1] = -0.843696f;	val_dir[9503*3 + 2] = -0.446662f;
 	val_dir[9504*3 + 0] = 0.326844f;	val_dir[9504*3 + 1] = -0.829680f;	val_dir[9504*3 + 2] = -0.452553f;
 	val_dir[9505*3 + 0] = 0.356291f;	val_dir[9505*3 + 1] = -0.814379f;	val_dir[9505*3 + 2] = -0.458088f;
 	val_dir[9506*3 + 0] = 0.386014f;	val_dir[9506*3 + 1] = -0.797762f;	val_dir[9506*3 + 2] = -0.463217f;
 	val_dir[9507*3 + 0] = 0.41590f;	val_dir[9507*3 + 1] = -0.779813f;	val_dir[9507*3 + 2] = -0.467888f;
 	val_dir[9508*3 + 0] = 0.445827f;	val_dir[9508*3 + 1] = -0.760529f;	val_dir[9508*3 + 2] = -0.472053f;
 	val_dir[9509*3 + 0] = 0.475665f;	val_dir[9509*3 + 1] = -0.739923f;	val_dir[9509*3 + 2] = -0.475665f;
 	val_dir[9510*3 + 0] = 0.505276f;	val_dir[9510*3 + 1] = -0.718024f;	val_dir[9510*3 + 2] = -0.478683f;
 	val_dir[9511*3 + 0] = 0.534522f;	val_dir[9511*3 + 1] = -0.694879f;	val_dir[9511*3 + 2] = -0.481070f;
 	val_dir[9512*3 + 0] = 0.563264f;	val_dir[9512*3 + 1] = -0.670552f;	val_dir[9512*3 + 2] = -0.482798f;
 	val_dir[9513*3 + 0] = 0.591364f;	val_dir[9513*3 + 1] = -0.645124f;	val_dir[9513*3 + 2] = -0.483843f;
 	val_dir[9514*3 + 0] = 0.618691f;	val_dir[9514*3 + 1] = -0.618691f;	val_dir[9514*3 + 2] = -0.484193f;
 	val_dir[9515*3 + 0] = 0.645124f;	val_dir[9515*3 + 1] = -0.591364f;	val_dir[9515*3 + 2] = -0.483843f;
 	val_dir[9516*3 + 0] = 0.670552f;	val_dir[9516*3 + 1] = -0.563264f;	val_dir[9516*3 + 2] = -0.482798f;
 	val_dir[9517*3 + 0] = 0.694879f;	val_dir[9517*3 + 1] = -0.534522f;	val_dir[9517*3 + 2] = -0.481070f;
 	val_dir[9518*3 + 0] = 0.718024f;	val_dir[9518*3 + 1] = -0.505276f;	val_dir[9518*3 + 2] = -0.478683f;
 	val_dir[9519*3 + 0] = 0.739923f;	val_dir[9519*3 + 1] = -0.475665f;	val_dir[9519*3 + 2] = -0.475665f;
 	val_dir[9520*3 + 0] = 0.760529f;	val_dir[9520*3 + 1] = -0.445827f;	val_dir[9520*3 + 2] = -0.472053f;
 	val_dir[9521*3 + 0] = 0.779813f;	val_dir[9521*3 + 1] = -0.41590f;	val_dir[9521*3 + 2] = -0.467888f;
 	val_dir[9522*3 + 0] = 0.797762f;	val_dir[9522*3 + 1] = -0.386014f;	val_dir[9522*3 + 2] = -0.463217f;
 	val_dir[9523*3 + 0] = 0.814379f;	val_dir[9523*3 + 1] = -0.356291f;	val_dir[9523*3 + 2] = -0.458088f;
 	val_dir[9524*3 + 0] = 0.829680f;	val_dir[9524*3 + 1] = -0.326844f;	val_dir[9524*3 + 2] = -0.452553f;
 	val_dir[9525*3 + 0] = 0.843696f;	val_dir[9525*3 + 1] = -0.297775f;	val_dir[9525*3 + 2] = -0.446662f;
 	val_dir[9526*3 + 0] = 0.856465f;	val_dir[9526*3 + 1] = -0.269175f;	val_dir[9526*3 + 2] = -0.440468f;
 	val_dir[9527*3 + 0] = 0.868037f;	val_dir[9527*3 + 1] = -0.241121f;	val_dir[9527*3 + 2] = -0.434019f;
 	val_dir[9528*3 + 0] = 0.878466f;	val_dir[9528*3 + 1] = -0.213681f;	val_dir[9528*3 + 2] = -0.427362f;
 	val_dir[9529*3 + 0] = 0.887812f;	val_dir[9529*3 + 1] = -0.186908f;	val_dir[9529*3 + 2] = -0.420542f;
 	val_dir[9530*3 + 0] = 0.896137f;	val_dir[9530*3 + 1] = -0.160845f;	val_dir[9530*3 + 2] = -0.413602f;
 	val_dir[9531*3 + 0] = 0.903508f;	val_dir[9531*3 + 1] = -0.135526f;	val_dir[9531*3 + 2] = -0.406579f;
 	val_dir[9532*3 + 0] = 0.909988f;	val_dir[9532*3 + 1] = -0.110974f;	val_dir[9532*3 + 2] = -0.399507f;
 	val_dir[9533*3 + 0] = 0.915644f;	val_dir[9533*3 + 1] = -0.087204f;	val_dir[9533*3 + 2] = -0.392419f;
 	val_dir[9534*3 + 0] = 0.920537f;	val_dir[9534*3 + 1] = -0.064223f;	val_dir[9534*3 + 2] = -0.385341f;
 	val_dir[9535*3 + 0] = 0.924729f;	val_dir[9535*3 + 1] = -0.042033f;	val_dir[9535*3 + 2] = -0.378298f;
 	val_dir[9536*3 + 0] = 0.928279f;	val_dir[9536*3 + 1] = -0.020628f;	val_dir[9536*3 + 2] = -0.371312f;
 	val_dir[9537*3 + 0] = 0.931243f;	val_dir[9537*3 + 1] = 0.0f;	val_dir[9537*3 + 2] = -0.364399f;
 	val_dir[9538*3 + 0] = 0.946458f;	val_dir[9538*3 + 1] = 0.020137f;	val_dir[9538*3 + 2] = -0.322198f;
 	val_dir[9539*3 + 0] = 0.959233f;	val_dir[9539*3 + 1] = 0.039968f;	val_dir[9539*3 + 2] = -0.279776f;
 	val_dir[9540*3 + 0] = 0.969584f;	val_dir[9540*3 + 1] = 0.059362f;	val_dir[9540*3 + 2] = -0.237449f;
 	val_dir[9541*3 + 0] = 0.977577f;	val_dir[9541*3 + 1] = 0.078206f;	val_dir[9541*3 + 2] = -0.195515f;
 	val_dir[9542*3 + 0] = 0.983318f;	val_dir[9542*3 + 1] = 0.096404f;	val_dir[9542*3 + 2] = -0.154246f;
 	val_dir[9543*3 + 0] = 0.986947f;	val_dir[9543*3 + 1] = 0.113878f;	val_dir[9543*3 + 2] = -0.113878f;
 	val_dir[9544*3 + 0] = 0.988627f;	val_dir[9544*3 + 1] = 0.130573f;	val_dir[9544*3 + 2] = -0.074613f;
 	val_dir[9545*3 + 0] = 0.988540f;	val_dir[9545*3 + 1] = 0.146450f;	val_dir[9545*3 + 2] = -0.036613f;
 	val_dir[9546*3 + 0] = 0.986875f;	val_dir[9546*3 + 1] = 0.161489f;	val_dir[9546*3 + 2] = 0.0f;
 	val_dir[9547*3 + 0] = -0.164372f;	val_dir[9547*3 + 1] = -0.986229f;	val_dir[9547*3 + 2] = -0.018264f;
 	val_dir[9548*3 + 0] = -0.149019f;	val_dir[9548*3 + 1] = -0.987254f;	val_dir[9548*3 + 2] = -0.055882f;
 	val_dir[9549*3 + 0] = -0.132810f;	val_dir[9549*3 + 1] = -0.986591f;	val_dir[9549*3 + 2] = -0.094865f;
 	val_dir[9550*3 + 0] = -0.115771f;	val_dir[9550*3 + 1] = -0.984050f;	val_dir[9550*3 + 2] = -0.135066f;
 	val_dir[9551*3 + 0] = -0.097945f;	val_dir[9551*3 + 1] = -0.979451f;	val_dir[9551*3 + 2] = -0.176301f;
 	val_dir[9552*3 + 0] = -0.079399f;	val_dir[9552*3 + 1] = -0.972636f;	val_dir[9552*3 + 2] = -0.218347f;
 	val_dir[9553*3 + 0] = -0.060217f;	val_dir[9553*3 + 1] = -0.963475f;	val_dir[9553*3 + 2] = -0.260941f;
 	val_dir[9554*3 + 0] = -0.040505f;	val_dir[9554*3 + 1] = -0.951877f;	val_dir[9554*3 + 2] = -0.303791f;
 	val_dir[9555*3 + 0] = -0.020387f;	val_dir[9555*3 + 1] = -0.93780f;	val_dir[9555*3 + 2] = -0.346578f;
 	val_dir[9556*3 + 0] = 0.0f;	val_dir[9556*3 + 1] = -0.921250f;	val_dir[9556*3 + 2] = -0.388972f;
 	val_dir[9557*3 + 0] = 0.020861f;	val_dir[9557*3 + 1] = -0.917863f;	val_dir[9557*3 + 2] = -0.396350f;
 	val_dir[9558*3 + 0] = 0.042505f;	val_dir[9558*3 + 1] = -0.913860f;	val_dir[9558*3 + 2] = -0.403799f;
 	val_dir[9559*3 + 0] = 0.064942f;	val_dir[9559*3 + 1] = -0.909185f;	val_dir[9559*3 + 2] = -0.411298f;
 	val_dir[9560*3 + 0] = 0.088173f;	val_dir[9560*3 + 1] = -0.903777f;	val_dir[9560*3 + 2] = -0.418823f;
 	val_dir[9561*3 + 0] = 0.112197f;	val_dir[9561*3 + 1] = -0.897574f;	val_dir[9561*3 + 2] = -0.426348f;
 	val_dir[9562*3 + 0] = 0.137002f;	val_dir[9562*3 + 1] = -0.890513f;	val_dir[9562*3 + 2] = -0.433840f;
 	val_dir[9563*3 + 0] = 0.162571f;	val_dir[9563*3 + 1] = -0.882528f;	val_dir[9563*3 + 2] = -0.441264f;
 	val_dir[9564*3 + 0] = 0.188877f;	val_dir[9564*3 + 1] = -0.873555f;	val_dir[9564*3 + 2] = -0.448583f;
 	val_dir[9565*3 + 0] = 0.215883f;	val_dir[9565*3 + 1] = -0.863530f;	val_dir[9565*3 + 2] = -0.455752f;
 	val_dir[9566*3 + 0] = 0.243541f;	val_dir[9566*3 + 1] = -0.852392f;	val_dir[9566*3 + 2] = -0.462727f;
 	val_dir[9567*3 + 0] = 0.271791f;	val_dir[9567*3 + 1] = -0.840083f;	val_dir[9567*3 + 2] = -0.469458f;
 	val_dir[9568*3 + 0] = 0.300564f;	val_dir[9568*3 + 1] = -0.826551f;	val_dir[9568*3 + 2] = -0.475893f;
 	val_dir[9569*3 + 0] = 0.329775f;	val_dir[9569*3 + 1] = -0.811754f;	val_dir[9569*3 + 2] = -0.481979f;
 	val_dir[9570*3 + 0] = 0.359329f;	val_dir[9570*3 + 1] = -0.795657f;	val_dir[9570*3 + 2] = -0.487661f;
 	val_dir[9571*3 + 0] = 0.389118f;	val_dir[9571*3 + 1] = -0.778237f;	val_dir[9571*3 + 2] = -0.492883f;
 	val_dir[9572*3 + 0] = 0.419026f;	val_dir[9572*3 + 1] = -0.759485f;	val_dir[9572*3 + 2] = -0.497594f;
 	val_dir[9573*3 + 0] = 0.448926f;	val_dir[9573*3 + 1] = -0.739407f;	val_dir[9573*3 + 2] = -0.501740f;
 	val_dir[9574*3 + 0] = 0.478683f;	val_dir[9574*3 + 1] = -0.718024f;	val_dir[9574*3 + 2] = -0.505276f;
 	val_dir[9575*3 + 0] = 0.508159f;	val_dir[9575*3 + 1] = -0.695376f;	val_dir[9575*3 + 2] = -0.508159f;
 	val_dir[9576*3 + 0] = 0.537215f;	val_dir[9576*3 + 1] = -0.671519f;	val_dir[9576*3 + 2] = -0.510355f;
 	val_dir[9577*3 + 0] = 0.565711f;	val_dir[9577*3 + 1] = -0.646527f;	val_dir[9577*3 + 2] = -0.511834f;
 	val_dir[9578*3 + 0] = 0.593512f;	val_dir[9578*3 + 1] = -0.620490f;	val_dir[9578*3 + 2] = -0.512578f;
 	val_dir[9579*3 + 0] = 0.620490f;	val_dir[9579*3 + 1] = -0.593512f;	val_dir[9579*3 + 2] = -0.512578f;
 	val_dir[9580*3 + 0] = 0.646527f;	val_dir[9580*3 + 1] = -0.565711f;	val_dir[9580*3 + 2] = -0.511834f;
 	val_dir[9581*3 + 0] = 0.671519f;	val_dir[9581*3 + 1] = -0.537215f;	val_dir[9581*3 + 2] = -0.510355f;
 	val_dir[9582*3 + 0] = 0.695376f;	val_dir[9582*3 + 1] = -0.508159f;	val_dir[9582*3 + 2] = -0.508159f;
 	val_dir[9583*3 + 0] = 0.718024f;	val_dir[9583*3 + 1] = -0.478683f;	val_dir[9583*3 + 2] = -0.505276f;
 	val_dir[9584*3 + 0] = 0.739407f;	val_dir[9584*3 + 1] = -0.448926f;	val_dir[9584*3 + 2] = -0.501740f;
 	val_dir[9585*3 + 0] = 0.759485f;	val_dir[9585*3 + 1] = -0.419026f;	val_dir[9585*3 + 2] = -0.497594f;
 	val_dir[9586*3 + 0] = 0.778237f;	val_dir[9586*3 + 1] = -0.389118f;	val_dir[9586*3 + 2] = -0.492883f;
 	val_dir[9587*3 + 0] = 0.795657f;	val_dir[9587*3 + 1] = -0.359329f;	val_dir[9587*3 + 2] = -0.487661f;
 	val_dir[9588*3 + 0] = 0.811754f;	val_dir[9588*3 + 1] = -0.329775f;	val_dir[9588*3 + 2] = -0.481979f;
 	val_dir[9589*3 + 0] = 0.826551f;	val_dir[9589*3 + 1] = -0.300564f;	val_dir[9589*3 + 2] = -0.475893f;
 	val_dir[9590*3 + 0] = 0.840083f;	val_dir[9590*3 + 1] = -0.271791f;	val_dir[9590*3 + 2] = -0.469458f;
 	val_dir[9591*3 + 0] = 0.852392f;	val_dir[9591*3 + 1] = -0.243541f;	val_dir[9591*3 + 2] = -0.462727f;
 	val_dir[9592*3 + 0] = 0.863530f;	val_dir[9592*3 + 1] = -0.215883f;	val_dir[9592*3 + 2] = -0.455752f;
 	val_dir[9593*3 + 0] = 0.873555f;	val_dir[9593*3 + 1] = -0.188877f;	val_dir[9593*3 + 2] = -0.448583f;
 	val_dir[9594*3 + 0] = 0.882528f;	val_dir[9594*3 + 1] = -0.162571f;	val_dir[9594*3 + 2] = -0.441264f;
 	val_dir[9595*3 + 0] = 0.890513f;	val_dir[9595*3 + 1] = -0.137002f;	val_dir[9595*3 + 2] = -0.433840f;
 	val_dir[9596*3 + 0] = 0.897574f;	val_dir[9596*3 + 1] = -0.112197f;	val_dir[9596*3 + 2] = -0.426348f;
 	val_dir[9597*3 + 0] = 0.903777f;	val_dir[9597*3 + 1] = -0.088173f;	val_dir[9597*3 + 2] = -0.418823f;
 	val_dir[9598*3 + 0] = 0.909185f;	val_dir[9598*3 + 1] = -0.064942f;	val_dir[9598*3 + 2] = -0.411298f;
 	val_dir[9599*3 + 0] = 0.913860f;	val_dir[9599*3 + 1] = -0.042505f;	val_dir[9599*3 + 2] = -0.403799f;
 	val_dir[9600*3 + 0] = 0.917863f;	val_dir[9600*3 + 1] = -0.020861f;	val_dir[9600*3 + 2] = -0.396350f;
 	val_dir[9601*3 + 0] = 0.921250f;	val_dir[9601*3 + 1] = 0.0f;	val_dir[9601*3 + 2] = -0.388972f;
 	val_dir[9602*3 + 0] = 0.93780f;	val_dir[9602*3 + 1] = 0.020387f;	val_dir[9602*3 + 2] = -0.346578f;
 	val_dir[9603*3 + 0] = 0.951877f;	val_dir[9603*3 + 1] = 0.040505f;	val_dir[9603*3 + 2] = -0.303791f;
 	val_dir[9604*3 + 0] = 0.963475f;	val_dir[9604*3 + 1] = 0.060217f;	val_dir[9604*3 + 2] = -0.260941f;
 	val_dir[9605*3 + 0] = 0.972636f;	val_dir[9605*3 + 1] = 0.079399f;	val_dir[9605*3 + 2] = -0.218347f;
 	val_dir[9606*3 + 0] = 0.979451f;	val_dir[9606*3 + 1] = 0.097945f;	val_dir[9606*3 + 2] = -0.176301f;
 	val_dir[9607*3 + 0] = 0.984050f;	val_dir[9607*3 + 1] = 0.115771f;	val_dir[9607*3 + 2] = -0.135066f;
 	val_dir[9608*3 + 0] = 0.986591f;	val_dir[9608*3 + 1] = 0.132810f;	val_dir[9608*3 + 2] = -0.094865f;
 	val_dir[9609*3 + 0] = 0.987254f;	val_dir[9609*3 + 1] = 0.149019f;	val_dir[9609*3 + 2] = -0.055882f;
 	val_dir[9610*3 + 0] = 0.986229f;	val_dir[9610*3 + 1] = 0.164372f;	val_dir[9610*3 + 2] = -0.018264f;
 	val_dir[9611*3 + 0] = -0.182089f;	val_dir[9611*3 + 1] = -0.983282f;	val_dir[9611*3 + 2] = 0.0f;
 	val_dir[9612*3 + 0] = -0.167299f;	val_dir[9612*3 + 1] = -0.985205f;	val_dir[9612*3 + 2] = -0.037178f;
 	val_dir[9613*3 + 0] = -0.151620f;	val_dir[9613*3 + 1] = -0.985527f;	val_dir[9613*3 + 2] = -0.075810f;
 	val_dir[9614*3 + 0] = -0.135066f;	val_dir[9614*3 + 1] = -0.984050f;	val_dir[9614*3 + 2] = -0.115771f;
 	val_dir[9615*3 + 0] = -0.117670f;	val_dir[9615*3 + 1] = -0.980581f;	val_dir[9615*3 + 2] = -0.156893f;
 	val_dir[9616*3 + 0] = -0.099484f;	val_dir[9616*3 + 1] = -0.974943f;	val_dir[9616*3 + 2] = -0.198968f;
 	val_dir[9617*3 + 0] = -0.080582f;	val_dir[9617*3 + 1] = -0.966988f;	val_dir[9617*3 + 2] = -0.241747f;
 	val_dir[9618*3 + 0] = -0.061059f;	val_dir[9618*3 + 1] = -0.956597f;	val_dir[9618*3 + 2] = -0.284944f;
 	val_dir[9619*3 + 0] = -0.041030f;	val_dir[9619*3 + 1] = -0.943701f;	val_dir[9619*3 + 2] = -0.328244f;
 	val_dir[9620*3 + 0] = -0.020628f;	val_dir[9620*3 + 1] = -0.928279f;	val_dir[9620*3 + 2] = -0.371312f;
 	val_dir[9621*3 + 0] = 0.0f;	val_dir[9621*3 + 1] = -0.910366f;	val_dir[9621*3 + 2] = -0.413803f;
 	val_dir[9622*3 + 0] = 0.021082f;	val_dir[9622*3 + 1] = -0.906520f;	val_dir[9622*3 + 2] = -0.421637f;
 	val_dir[9623*3 + 0] = 0.042954f;	val_dir[9623*3 + 1] = -0.902027f;	val_dir[9623*3 + 2] = -0.429537f;
 	val_dir[9624*3 + 0] = 0.065622f;	val_dir[9624*3 + 1] = -0.896831f;	val_dir[9624*3 + 2] = -0.437479f;
 	val_dir[9625*3 + 0] = 0.089087f;	val_dir[9625*3 + 1] = -0.890871f;	val_dir[9625*3 + 2] = -0.445435f;
 	val_dir[9626*3 + 0] = 0.113344f;	val_dir[9626*3 + 1] = -0.884083f;	val_dir[9626*3 + 2] = -0.453376f;
 	val_dir[9627*3 + 0] = 0.138380f;	val_dir[9627*3 + 1] = -0.876405f;	val_dir[9627*3 + 2] = -0.461266f;
 	val_dir[9628*3 + 0] = 0.164173f;	val_dir[9628*3 + 1] = -0.867770f;	val_dir[9628*3 + 2] = -0.469065f;
 	val_dir[9629*3 + 0] = 0.190693f;	val_dir[9629*3 + 1] = -0.858116f;	val_dir[9629*3 + 2] = -0.476731f;
 	val_dir[9630*3 + 0] = 0.217898f;	val_dir[9630*3 + 1] = -0.847381f;	val_dir[9630*3 + 2] = -0.484217f;
 	val_dir[9631*3 + 0] = 0.245737f;	val_dir[9631*3 + 1] = -0.835504f;	val_dir[9631*3 + 2] = -0.491473f;
 	val_dir[9632*3 + 0] = 0.274145f;	val_dir[9632*3 + 1] = -0.822434f;	val_dir[9632*3 + 2] = -0.498445f;
 	val_dir[9633*3 + 0] = 0.303046f;	val_dir[9633*3 + 1] = -0.808122f;	val_dir[9633*3 + 2] = -0.505076f;
 	val_dir[9634*3 + 0] = 0.332352f;	val_dir[9634*3 + 1] = -0.792530f;	val_dir[9634*3 + 2] = -0.511310f;
 	val_dir[9635*3 + 0] = 0.361961f;	val_dir[9635*3 + 1] = -0.775632f;	val_dir[9635*3 + 2] = -0.517088f;
 	val_dir[9636*3 + 0] = 0.391764f;	val_dir[9636*3 + 1] = -0.757410f;	val_dir[9636*3 + 2] = -0.522352f;
 	val_dir[9637*3 + 0] = 0.421637f;	val_dir[9637*3 + 1] = -0.737865f;	val_dir[9637*3 + 2] = -0.527046f;
 	val_dir[9638*3 + 0] = 0.451451f;	val_dir[9638*3 + 1] = -0.717011f;	val_dir[9638*3 + 2] = -0.531119f;
 	val_dir[9639*3 + 0] = 0.481070f;	val_dir[9639*3 + 1] = -0.694879f;	val_dir[9639*3 + 2] = -0.534522f;
 	val_dir[9640*3 + 0] = 0.510355f;	val_dir[9640*3 + 1] = -0.671519f;	val_dir[9640*3 + 2] = -0.537215f;
 	val_dir[9641*3 + 0] = 0.539164f;	val_dir[9641*3 + 1] = -0.646997f;	val_dir[9641*3 + 2] = -0.539164f;
 	val_dir[9642*3 + 0] = 0.567360f;	val_dir[9642*3 + 1] = -0.621395f;	val_dir[9642*3 + 2] = -0.540343f;
 	val_dir[9643*3 + 0] = 0.594812f;	val_dir[9643*3 + 1] = -0.594812f;	val_dir[9643*3 + 2] = -0.540738f;
 	val_dir[9644*3 + 0] = 0.621395f;	val_dir[9644*3 + 1] = -0.567360f;	val_dir[9644*3 + 2] = -0.540343f;
 	val_dir[9645*3 + 0] = 0.646997f;	val_dir[9645*3 + 1] = -0.539164f;	val_dir[9645*3 + 2] = -0.539164f;
 	val_dir[9646*3 + 0] = 0.671519f;	val_dir[9646*3 + 1] = -0.510355f;	val_dir[9646*3 + 2] = -0.537215f;
 	val_dir[9647*3 + 0] = 0.694879f;	val_dir[9647*3 + 1] = -0.481070f;	val_dir[9647*3 + 2] = -0.534522f;
 	val_dir[9648*3 + 0] = 0.717011f;	val_dir[9648*3 + 1] = -0.451451f;	val_dir[9648*3 + 2] = -0.531119f;
 	val_dir[9649*3 + 0] = 0.737865f;	val_dir[9649*3 + 1] = -0.421637f;	val_dir[9649*3 + 2] = -0.527046f;
 	val_dir[9650*3 + 0] = 0.757410f;	val_dir[9650*3 + 1] = -0.391764f;	val_dir[9650*3 + 2] = -0.522352f;
 	val_dir[9651*3 + 0] = 0.775632f;	val_dir[9651*3 + 1] = -0.361961f;	val_dir[9651*3 + 2] = -0.517088f;
 	val_dir[9652*3 + 0] = 0.792530f;	val_dir[9652*3 + 1] = -0.332352f;	val_dir[9652*3 + 2] = -0.511310f;
 	val_dir[9653*3 + 0] = 0.808122f;	val_dir[9653*3 + 1] = -0.303046f;	val_dir[9653*3 + 2] = -0.505076f;
 	val_dir[9654*3 + 0] = 0.822434f;	val_dir[9654*3 + 1] = -0.274145f;	val_dir[9654*3 + 2] = -0.498445f;
 	val_dir[9655*3 + 0] = 0.835504f;	val_dir[9655*3 + 1] = -0.245737f;	val_dir[9655*3 + 2] = -0.491473f;
 	val_dir[9656*3 + 0] = 0.847381f;	val_dir[9656*3 + 1] = -0.217898f;	val_dir[9656*3 + 2] = -0.484217f;
 	val_dir[9657*3 + 0] = 0.858116f;	val_dir[9657*3 + 1] = -0.190693f;	val_dir[9657*3 + 2] = -0.476731f;
 	val_dir[9658*3 + 0] = 0.867770f;	val_dir[9658*3 + 1] = -0.164173f;	val_dir[9658*3 + 2] = -0.469065f;
 	val_dir[9659*3 + 0] = 0.876405f;	val_dir[9659*3 + 1] = -0.138380f;	val_dir[9659*3 + 2] = -0.461266f;
 	val_dir[9660*3 + 0] = 0.884083f;	val_dir[9660*3 + 1] = -0.113344f;	val_dir[9660*3 + 2] = -0.453376f;
 	val_dir[9661*3 + 0] = 0.890871f;	val_dir[9661*3 + 1] = -0.089087f;	val_dir[9661*3 + 2] = -0.445435f;
 	val_dir[9662*3 + 0] = 0.896831f;	val_dir[9662*3 + 1] = -0.065622f;	val_dir[9662*3 + 2] = -0.437479f;
 	val_dir[9663*3 + 0] = 0.902027f;	val_dir[9663*3 + 1] = -0.042954f;	val_dir[9663*3 + 2] = -0.429537f;
 	val_dir[9664*3 + 0] = 0.906520f;	val_dir[9664*3 + 1] = -0.021082f;	val_dir[9664*3 + 2] = -0.421637f;
 	val_dir[9665*3 + 0] = 0.910366f;	val_dir[9665*3 + 1] = 0.0f;	val_dir[9665*3 + 2] = -0.413803f;
 	val_dir[9666*3 + 0] = 0.928279f;	val_dir[9666*3 + 1] = 0.020628f;	val_dir[9666*3 + 2] = -0.371312f;
 	val_dir[9667*3 + 0] = 0.943701f;	val_dir[9667*3 + 1] = 0.041030f;	val_dir[9667*3 + 2] = -0.328244f;
 	val_dir[9668*3 + 0] = 0.956597f;	val_dir[9668*3 + 1] = 0.061059f;	val_dir[9668*3 + 2] = -0.284944f;
 	val_dir[9669*3 + 0] = 0.966988f;	val_dir[9669*3 + 1] = 0.080582f;	val_dir[9669*3 + 2] = -0.241747f;
 	val_dir[9670*3 + 0] = 0.974943f;	val_dir[9670*3 + 1] = 0.099484f;	val_dir[9670*3 + 2] = -0.198968f;
 	val_dir[9671*3 + 0] = 0.980581f;	val_dir[9671*3 + 1] = 0.117670f;	val_dir[9671*3 + 2] = -0.156893f;
 	val_dir[9672*3 + 0] = 0.984050f;	val_dir[9672*3 + 1] = 0.135066f;	val_dir[9672*3 + 2] = -0.115771f;
 	val_dir[9673*3 + 0] = 0.985527f;	val_dir[9673*3 + 1] = 0.151620f;	val_dir[9673*3 + 2] = -0.075810f;
 	val_dir[9674*3 + 0] = 0.985205f;	val_dir[9674*3 + 1] = 0.167299f;	val_dir[9674*3 + 2] = -0.037178f;
 	val_dir[9675*3 + 0] = 0.983282f;	val_dir[9675*3 + 1] = 0.182089f;	val_dir[9675*3 + 2] = 0.0f;
 	val_dir[9676*3 + 0] = -0.185376f;	val_dir[9676*3 + 1] = -0.982493f;	val_dir[9676*3 + 2] = -0.018538f;
 	val_dir[9677*3 + 0] = -0.170267f;	val_dir[9677*3 + 1] = -0.983762f;	val_dir[9677*3 + 2] = -0.056756f;
 	val_dir[9678*3 + 0] = -0.154246f;	val_dir[9678*3 + 1] = -0.983318f;	val_dir[9678*3 + 2] = -0.096404f;
 	val_dir[9679*3 + 0] = -0.137334f;	val_dir[9679*3 + 1] = -0.980958f;	val_dir[9679*3 + 2] = -0.137334f;
 	val_dir[9680*3 + 0] = -0.119570f;	val_dir[9680*3 + 1] = -0.976491f;	val_dir[9680*3 + 2] = -0.179355f;
 	val_dir[9681*3 + 0] = -0.101015f;	val_dir[9681*3 + 1] = -0.969746f;	val_dir[9681*3 + 2] = -0.222234f;
 	val_dir[9682*3 + 0] = -0.081752f;	val_dir[9682*3 + 1] = -0.960585f;	val_dir[9682*3 + 2] = -0.265694f;
 	val_dir[9683*3 + 0] = -0.061885f;	val_dir[9683*3 + 1] = -0.948908f;	val_dir[9683*3 + 2] = -0.309426f;
 	val_dir[9684*3 + 0] = -0.041541f;	val_dir[9684*3 + 1] = -0.934665f;	val_dir[9684*3 + 2] = -0.353096f;
 	val_dir[9685*3 + 0] = -0.020861f;	val_dir[9685*3 + 1] = -0.917863f;	val_dir[9685*3 + 2] = -0.396350f;
 	val_dir[9686*3 + 0] = 0.0f;	val_dir[9686*3 + 1] = -0.898567f;	val_dir[9686*3 + 2] = -0.438835f;
 	val_dir[9687*3 + 0] = 0.021291f;	val_dir[9687*3 + 1] = -0.894224f;	val_dir[9687*3 + 2] = -0.447112f;
 	val_dir[9688*3 + 0] = 0.043376f;	val_dir[9688*3 + 1] = -0.889206f;	val_dir[9688*3 + 2] = -0.455447f;
 	val_dir[9689*3 + 0] = 0.066259f;	val_dir[9689*3 + 1] = -0.883452f;	val_dir[9689*3 + 2] = -0.463812f;
 	val_dir[9690*3 + 0] = 0.089939f;	val_dir[9690*3 + 1] = -0.876903f;	val_dir[9690*3 + 2] = -0.472178f;
 	val_dir[9691*3 + 0] = 0.114407f;	val_dir[9691*3 + 1] = -0.869495f;	val_dir[9691*3 + 2] = -0.480510f;
 	val_dir[9692*3 + 0] = 0.139648f;	val_dir[9692*3 + 1] = -0.861164f;	val_dir[9692*3 + 2] = -0.488769f;
 	val_dir[9693*3 + 0] = 0.165637f;	val_dir[9693*3 + 1] = -0.851847f;	val_dir[9693*3 + 2] = -0.496911f;
 	val_dir[9694*3 + 0] = 0.192339f;	val_dir[9694*3 + 1] = -0.841482f;	val_dir[9694*3 + 2] = -0.504889f;
 	val_dir[9695*3 + 0] = 0.219708f;	val_dir[9695*3 + 1] = -0.830009f;	val_dir[9695*3 + 2] = -0.512653f;
 	val_dir[9696*3 + 0] = 0.247689f;	val_dir[9696*3 + 1] = -0.817373f;	val_dir[9696*3 + 2] = -0.520146f;
 	val_dir[9697*3 + 0] = 0.276211f;	val_dir[9697*3 + 1] = -0.803523f;	val_dir[9697*3 + 2] = -0.527312f;
 	val_dir[9698*3 + 0] = 0.305194f;	val_dir[9698*3 + 1] = -0.788419f;	val_dir[9698*3 + 2] = -0.534090f;
 	val_dir[9699*3 + 0] = 0.334545f;	val_dir[9699*3 + 1] = -0.772027f;	val_dir[9699*3 + 2] = -0.540419f;
 	val_dir[9700*3 + 0] = 0.364159f;	val_dir[9700*3 + 1] = -0.754329f;	val_dir[9700*3 + 2] = -0.546238f;
 	val_dir[9701*3 + 0] = 0.393919f;	val_dir[9701*3 + 1] = -0.735316f;	val_dir[9701*3 + 2] = -0.551487f;
 	val_dir[9702*3 + 0] = 0.423702f;	val_dir[9702*3 + 1] = -0.714997f;	val_dir[9702*3 + 2] = -0.556108f;
 	val_dir[9703*3 + 0] = 0.453374f;	val_dir[9703*3 + 1] = -0.693395f;	val_dir[9703*3 + 2] = -0.560050f;
 	val_dir[9704*3 + 0] = 0.482798f;	val_dir[9704*3 + 1] = -0.670552f;	val_dir[9704*3 + 2] = -0.563264f;
 	val_dir[9705*3 + 0] = 0.511834f;	val_dir[9705*3 + 1] = -0.646527f;	val_dir[9705*3 + 2] = -0.565711f;
 	val_dir[9706*3 + 0] = 0.540343f;	val_dir[9706*3 + 1] = -0.621395f;	val_dir[9706*3 + 2] = -0.567360f;
 	val_dir[9707*3 + 0] = 0.568190f;	val_dir[9707*3 + 1] = -0.595247f;	val_dir[9707*3 + 2] = -0.568190f;
 	val_dir[9708*3 + 0] = 0.595247f;	val_dir[9708*3 + 1] = -0.568190f;	val_dir[9708*3 + 2] = -0.568190f;
 	val_dir[9709*3 + 0] = 0.621395f;	val_dir[9709*3 + 1] = -0.540343f;	val_dir[9709*3 + 2] = -0.567360f;
 	val_dir[9710*3 + 0] = 0.646527f;	val_dir[9710*3 + 1] = -0.511834f;	val_dir[9710*3 + 2] = -0.565711f;
 	val_dir[9711*3 + 0] = 0.670552f;	val_dir[9711*3 + 1] = -0.482798f;	val_dir[9711*3 + 2] = -0.563264f;
 	val_dir[9712*3 + 0] = 0.693395f;	val_dir[9712*3 + 1] = -0.453374f;	val_dir[9712*3 + 2] = -0.560050f;
 	val_dir[9713*3 + 0] = 0.714997f;	val_dir[9713*3 + 1] = -0.423702f;	val_dir[9713*3 + 2] = -0.556108f;
 	val_dir[9714*3 + 0] = 0.735316f;	val_dir[9714*3 + 1] = -0.393919f;	val_dir[9714*3 + 2] = -0.551487f;
 	val_dir[9715*3 + 0] = 0.754329f;	val_dir[9715*3 + 1] = -0.364159f;	val_dir[9715*3 + 2] = -0.546238f;
 	val_dir[9716*3 + 0] = 0.772027f;	val_dir[9716*3 + 1] = -0.334545f;	val_dir[9716*3 + 2] = -0.540419f;
 	val_dir[9717*3 + 0] = 0.788419f;	val_dir[9717*3 + 1] = -0.305194f;	val_dir[9717*3 + 2] = -0.534090f;
 	val_dir[9718*3 + 0] = 0.803523f;	val_dir[9718*3 + 1] = -0.276211f;	val_dir[9718*3 + 2] = -0.527312f;
 	val_dir[9719*3 + 0] = 0.817373f;	val_dir[9719*3 + 1] = -0.247689f;	val_dir[9719*3 + 2] = -0.520146f;
 	val_dir[9720*3 + 0] = 0.830009f;	val_dir[9720*3 + 1] = -0.219708f;	val_dir[9720*3 + 2] = -0.512653f;
 	val_dir[9721*3 + 0] = 0.841482f;	val_dir[9721*3 + 1] = -0.192339f;	val_dir[9721*3 + 2] = -0.504889f;
 	val_dir[9722*3 + 0] = 0.851847f;	val_dir[9722*3 + 1] = -0.165637f;	val_dir[9722*3 + 2] = -0.496911f;
 	val_dir[9723*3 + 0] = 0.861164f;	val_dir[9723*3 + 1] = -0.139648f;	val_dir[9723*3 + 2] = -0.488769f;
 	val_dir[9724*3 + 0] = 0.869495f;	val_dir[9724*3 + 1] = -0.114407f;	val_dir[9724*3 + 2] = -0.480510f;
 	val_dir[9725*3 + 0] = 0.876903f;	val_dir[9725*3 + 1] = -0.089939f;	val_dir[9725*3 + 2] = -0.472178f;
 	val_dir[9726*3 + 0] = 0.883452f;	val_dir[9726*3 + 1] = -0.066259f;	val_dir[9726*3 + 2] = -0.463812f;
 	val_dir[9727*3 + 0] = 0.889206f;	val_dir[9727*3 + 1] = -0.043376f;	val_dir[9727*3 + 2] = -0.455447f;
 	val_dir[9728*3 + 0] = 0.894224f;	val_dir[9728*3 + 1] = -0.021291f;	val_dir[9728*3 + 2] = -0.447112f;
 	val_dir[9729*3 + 0] = 0.898567f;	val_dir[9729*3 + 1] = 0.0f;	val_dir[9729*3 + 2] = -0.438835f;
 	val_dir[9730*3 + 0] = 0.917863f;	val_dir[9730*3 + 1] = 0.020861f;	val_dir[9730*3 + 2] = -0.396350f;
 	val_dir[9731*3 + 0] = 0.934665f;	val_dir[9731*3 + 1] = 0.041541f;	val_dir[9731*3 + 2] = -0.353096f;
 	val_dir[9732*3 + 0] = 0.948908f;	val_dir[9732*3 + 1] = 0.061885f;	val_dir[9732*3 + 2] = -0.309426f;
 	val_dir[9733*3 + 0] = 0.960585f;	val_dir[9733*3 + 1] = 0.081752f;	val_dir[9733*3 + 2] = -0.265694f;
 	val_dir[9734*3 + 0] = 0.969746f;	val_dir[9734*3 + 1] = 0.101015f;	val_dir[9734*3 + 2] = -0.222234f;
 	val_dir[9735*3 + 0] = 0.976491f;	val_dir[9735*3 + 1] = 0.119570f;	val_dir[9735*3 + 2] = -0.179355f;
 	val_dir[9736*3 + 0] = 0.980958f;	val_dir[9736*3 + 1] = 0.137334f;	val_dir[9736*3 + 2] = -0.137334f;
 	val_dir[9737*3 + 0] = 0.983318f;	val_dir[9737*3 + 1] = 0.154246f;	val_dir[9737*3 + 2] = -0.096404f;
 	val_dir[9738*3 + 0] = 0.983762f;	val_dir[9738*3 + 1] = 0.170267f;	val_dir[9738*3 + 2] = -0.056756f;
 	val_dir[9739*3 + 0] = 0.982493f;	val_dir[9739*3 + 1] = 0.185376f;	val_dir[9739*3 + 2] = -0.018538f;
 	val_dir[9740*3 + 0] = -0.203216f;	val_dir[9740*3 + 1] = -0.979134f;	val_dir[9740*3 + 2] = 0.0f;
 	val_dir[9741*3 + 0] = -0.188713f;	val_dir[9741*3 + 1] = -0.981307f;	val_dir[9741*3 + 2] = -0.037743f;
 	val_dir[9742*3 + 0] = -0.173269f;	val_dir[9742*3 + 1] = -0.981859f;	val_dir[9742*3 + 2] = -0.077009f;
 	val_dir[9743*3 + 0] = -0.156893f;	val_dir[9743*3 + 1] = -0.980581f;	val_dir[9743*3 + 2] = -0.117670f;
 	val_dir[9744*3 + 0] = -0.139610f;	val_dir[9744*3 + 1] = -0.977267f;	val_dir[9744*3 + 2] = -0.159554f;
 	val_dir[9745*3 + 0] = -0.121466f;	val_dir[9745*3 + 1] = -0.971732f;	val_dir[9745*3 + 2] = -0.202444f;
 	val_dir[9746*3 + 0] = -0.102533f;	val_dir[9746*3 + 1] = -0.963811f;	val_dir[9746*3 + 2] = -0.246079f;
 	val_dir[9747*3 + 0] = -0.082903f;	val_dir[9747*3 + 1] = -0.953381f;	val_dir[9747*3 + 2] = -0.290159f;
 	val_dir[9748*3 + 0] = -0.062691f;	val_dir[9748*3 + 1] = -0.940361f;	val_dir[9748*3 + 2] = -0.334351f;
 	val_dir[9749*3 + 0] = -0.042033f;	val_dir[9749*3 + 1] = -0.924729f;	val_dir[9749*3 + 2] = -0.378298f;
 	val_dir[9750*3 + 0] = -0.021082f;	val_dir[9750*3 + 1] = -0.906520f;	val_dir[9750*3 + 2] = -0.421637f;
 	val_dir[9751*3 + 0] = 0.0f;	val_dir[9751*3 + 1] = -0.885832f;	val_dir[9751*3 + 2] = -0.464007f;
 	val_dir[9752*3 + 0] = 0.021487f;	val_dir[9752*3 + 1] = -0.880957f;	val_dir[9752*3 + 2] = -0.472709f;
 	val_dir[9753*3 + 0] = 0.043769f;	val_dir[9753*3 + 1] = -0.875376f;	val_dir[9753*3 + 2] = -0.481457f;
 	val_dir[9754*3 + 0] = 0.066848f;	val_dir[9754*3 + 1] = -0.869030f;	val_dir[9754*3 + 2] = -0.490222f;
 	val_dir[9755*3 + 0] = 0.090722f;	val_dir[9755*3 + 1] = -0.861857f;	val_dir[9755*3 + 2] = -0.498970f;
 	val_dir[9756*3 + 0] = 0.115378f;	val_dir[9756*3 + 1] = -0.853796f;	val_dir[9756*3 + 2] = -0.507662f;
 	val_dir[9757*3 + 0] = 0.140797f;	val_dir[9757*3 + 1] = -0.844782f;	val_dir[9757*3 + 2] = -0.516256f;
 	val_dir[9758*3 + 0] = 0.166951f;	val_dir[9758*3 + 1] = -0.834754f;	val_dir[9758*3 + 2] = -0.524703f;
 	val_dir[9759*3 + 0] = 0.193801f;	val_dir[9759*3 + 1] = -0.823653f;	val_dir[9759*3 + 2] = -0.532952f;
 	val_dir[9760*3 + 0] = 0.221297f;	val_dir[9760*3 + 1] = -0.811421f;	val_dir[9760*3 + 2] = -0.540947f;
 	val_dir[9761*3 + 0] = 0.249377f;	val_dir[9761*3 + 1] = -0.798007f;	val_dir[9761*3 + 2] = -0.548630f;
 	val_dir[9762*3 + 0] = 0.277969f;	val_dir[9762*3 + 1] = -0.783368f;	val_dir[9762*3 + 2] = -0.555939f;
 	val_dir[9763*3 + 0] = 0.306987f;	val_dir[9763*3 + 1] = -0.767467f;	val_dir[9763*3 + 2] = -0.562809f;
 	val_dir[9764*3 + 0] = 0.336332f;	val_dir[9764*3 + 1] = -0.750279f;	val_dir[9764*3 + 2] = -0.569177f;
 	val_dir[9765*3 + 0] = 0.365896f;	val_dir[9765*3 + 1] = -0.731792f;	val_dir[9765*3 + 2] = -0.574979f;
 	val_dir[9766*3 + 0] = 0.395559f;	val_dir[9766*3 + 1] = -0.712007f;	val_dir[9766*3 + 2] = -0.580154f;
 	val_dir[9767*3 + 0] = 0.425195f;	val_dir[9767*3 + 1] = -0.690942f;	val_dir[9767*3 + 2] = -0.584643f;
 	val_dir[9768*3 + 0] = 0.454669f;	val_dir[9768*3 + 1] = -0.668631f;	val_dir[9768*3 + 2] = -0.588395f;
 	val_dir[9769*3 + 0] = 0.483843f;	val_dir[9769*3 + 1] = -0.645124f;	val_dir[9769*3 + 2] = -0.591364f;
 	val_dir[9770*3 + 0] = 0.512578f;	val_dir[9770*3 + 1] = -0.620490f;	val_dir[9770*3 + 2] = -0.593512f;
 	val_dir[9771*3 + 0] = 0.540738f;	val_dir[9771*3 + 1] = -0.594812f;	val_dir[9771*3 + 2] = -0.594812f;
 	val_dir[9772*3 + 0] = 0.568190f;	val_dir[9772*3 + 1] = -0.568190f;	val_dir[9772*3 + 2] = -0.595247f;
 	val_dir[9773*3 + 0] = 0.594812f;	val_dir[9773*3 + 1] = -0.540738f;	val_dir[9773*3 + 2] = -0.594812f;
 	val_dir[9774*3 + 0] = 0.620490f;	val_dir[9774*3 + 1] = -0.512578f;	val_dir[9774*3 + 2] = -0.593512f;
 	val_dir[9775*3 + 0] = 0.645124f;	val_dir[9775*3 + 1] = -0.483843f;	val_dir[9775*3 + 2] = -0.591364f;
 	val_dir[9776*3 + 0] = 0.668631f;	val_dir[9776*3 + 1] = -0.454669f;	val_dir[9776*3 + 2] = -0.588395f;
 	val_dir[9777*3 + 0] = 0.690942f;	val_dir[9777*3 + 1] = -0.425195f;	val_dir[9777*3 + 2] = -0.584643f;
 	val_dir[9778*3 + 0] = 0.712007f;	val_dir[9778*3 + 1] = -0.395559f;	val_dir[9778*3 + 2] = -0.580154f;
 	val_dir[9779*3 + 0] = 0.731792f;	val_dir[9779*3 + 1] = -0.365896f;	val_dir[9779*3 + 2] = -0.574979f;
 	val_dir[9780*3 + 0] = 0.750279f;	val_dir[9780*3 + 1] = -0.336332f;	val_dir[9780*3 + 2] = -0.569177f;
 	val_dir[9781*3 + 0] = 0.767467f;	val_dir[9781*3 + 1] = -0.306987f;	val_dir[9781*3 + 2] = -0.562809f;
 	val_dir[9782*3 + 0] = 0.783368f;	val_dir[9782*3 + 1] = -0.277969f;	val_dir[9782*3 + 2] = -0.555939f;
 	val_dir[9783*3 + 0] = 0.798007f;	val_dir[9783*3 + 1] = -0.249377f;	val_dir[9783*3 + 2] = -0.548630f;
 	val_dir[9784*3 + 0] = 0.811421f;	val_dir[9784*3 + 1] = -0.221297f;	val_dir[9784*3 + 2] = -0.540947f;
 	val_dir[9785*3 + 0] = 0.823653f;	val_dir[9785*3 + 1] = -0.193801f;	val_dir[9785*3 + 2] = -0.532952f;
 	val_dir[9786*3 + 0] = 0.834754f;	val_dir[9786*3 + 1] = -0.166951f;	val_dir[9786*3 + 2] = -0.524703f;
 	val_dir[9787*3 + 0] = 0.844782f;	val_dir[9787*3 + 1] = -0.140797f;	val_dir[9787*3 + 2] = -0.516256f;
 	val_dir[9788*3 + 0] = 0.853796f;	val_dir[9788*3 + 1] = -0.115378f;	val_dir[9788*3 + 2] = -0.507662f;
 	val_dir[9789*3 + 0] = 0.861857f;	val_dir[9789*3 + 1] = -0.090722f;	val_dir[9789*3 + 2] = -0.498970f;
 	val_dir[9790*3 + 0] = 0.869030f;	val_dir[9790*3 + 1] = -0.066848f;	val_dir[9790*3 + 2] = -0.490222f;
 	val_dir[9791*3 + 0] = 0.875376f;	val_dir[9791*3 + 1] = -0.043769f;	val_dir[9791*3 + 2] = -0.481457f;
 	val_dir[9792*3 + 0] = 0.880957f;	val_dir[9792*3 + 1] = -0.021487f;	val_dir[9792*3 + 2] = -0.472709f;
 	val_dir[9793*3 + 0] = 0.885832f;	val_dir[9793*3 + 1] = 0.0f;	val_dir[9793*3 + 2] = -0.464007f;
 	val_dir[9794*3 + 0] = 0.906520f;	val_dir[9794*3 + 1] = 0.021082f;	val_dir[9794*3 + 2] = -0.421637f;
 	val_dir[9795*3 + 0] = 0.924729f;	val_dir[9795*3 + 1] = 0.042033f;	val_dir[9795*3 + 2] = -0.378298f;
 	val_dir[9796*3 + 0] = 0.940361f;	val_dir[9796*3 + 1] = 0.062691f;	val_dir[9796*3 + 2] = -0.334351f;
 	val_dir[9797*3 + 0] = 0.953381f;	val_dir[9797*3 + 1] = 0.082903f;	val_dir[9797*3 + 2] = -0.290159f;
 	val_dir[9798*3 + 0] = 0.963811f;	val_dir[9798*3 + 1] = 0.102533f;	val_dir[9798*3 + 2] = -0.246079f;
 	val_dir[9799*3 + 0] = 0.971732f;	val_dir[9799*3 + 1] = 0.121466f;	val_dir[9799*3 + 2] = -0.202444f;
 	val_dir[9800*3 + 0] = 0.977267f;	val_dir[9800*3 + 1] = 0.139610f;	val_dir[9800*3 + 2] = -0.159554f;
 	val_dir[9801*3 + 0] = 0.980581f;	val_dir[9801*3 + 1] = 0.156893f;	val_dir[9801*3 + 2] = -0.117670f;
 	val_dir[9802*3 + 0] = 0.981859f;	val_dir[9802*3 + 1] = 0.173269f;	val_dir[9802*3 + 2] = -0.077009f;
 	val_dir[9803*3 + 0] = 0.981307f;	val_dir[9803*3 + 1] = 0.188713f;	val_dir[9803*3 + 2] = -0.037743f;
 	val_dir[9804*3 + 0] = 0.979134f;	val_dir[9804*3 + 1] = 0.203216f;	val_dir[9804*3 + 2] = 0.0f;
 	val_dir[9805*3 + 0] = -0.206922f;	val_dir[9805*3 + 1] = -0.978177f;	val_dir[9805*3 + 2] = -0.018811f;
 	val_dir[9806*3 + 0] = -0.192095f;	val_dir[9806*3 + 1] = -0.979683f;	val_dir[9806*3 + 2] = -0.057628f;
 	val_dir[9807*3 + 0] = -0.176301f;	val_dir[9807*3 + 1] = -0.979451f;	val_dir[9807*3 + 2] = -0.097945f;
 	val_dir[9808*3 + 0] = -0.159554f;	val_dir[9808*3 + 1] = -0.977267f;	val_dir[9808*3 + 2] = -0.139610f;
 	val_dir[9809*3 + 0] = -0.141885f;	val_dir[9809*3 + 1] = -0.972929f;	val_dir[9809*3 + 2] = -0.182424f;
 	val_dir[9810*3 + 0] = -0.123351f;	val_dir[9810*3 + 1] = -0.966252f;	val_dir[9810*3 + 2] = -0.226144f;
 	val_dir[9811*3 + 0] = -0.104031f;	val_dir[9811*3 + 1] = -0.957088f;	val_dir[9811*3 + 2] = -0.270481f;
 	val_dir[9812*3 + 0] = -0.084029f;	val_dir[9812*3 + 1] = -0.945328f;	val_dir[9812*3 + 2] = -0.315109f;
 	val_dir[9813*3 + 0] = -0.063472f;	val_dir[9813*3 + 1] = -0.930917f;	val_dir[9813*3 + 2] = -0.359673f;
 	val_dir[9814*3 + 0] = -0.042505f;	val_dir[9814*3 + 1] = -0.913860f;	val_dir[9814*3 + 2] = -0.403799f;
 	val_dir[9815*3 + 0] = -0.021291f;	val_dir[9815*3 + 1] = -0.894224f;	val_dir[9815*3 + 2] = -0.447112f;
 	val_dir[9816*3 + 0] = 0.0f;	val_dir[9816*3 + 1] = -0.872143f;	val_dir[9816*3 + 2] = -0.489251f;
 	val_dir[9817*3 + 0] = 0.021668f;	val_dir[9817*3 + 1] = -0.866703f;	val_dir[9817*3 + 2] = -0.498354f;
 	val_dir[9818*3 + 0] = 0.044130f;	val_dir[9818*3 + 1] = -0.860527f;	val_dir[9818*3 + 2] = -0.507490f;
 	val_dir[9819*3 + 0] = 0.067386f;	val_dir[9819*3 + 1] = -0.853556f;	val_dir[9819*3 + 2] = -0.516626f;
 	val_dir[9820*3 + 0] = 0.091430f;	val_dir[9820*3 + 1] = -0.845728f;	val_dir[9820*3 + 2] = -0.525723f;
 	val_dir[9821*3 + 0] = 0.116248f;	val_dir[9821*3 + 1] = -0.836983f;	val_dir[9821*3 + 2] = -0.534739f;
 	val_dir[9822*3 + 0] = 0.141816f;	val_dir[9822*3 + 1] = -0.827259f;	val_dir[9822*3 + 2] = -0.543627f;
 	val_dir[9823*3 + 0] = 0.168102f;	val_dir[9823*3 + 1] = -0.816497f;	val_dir[9823*3 + 2] = -0.552336f;
 	val_dir[9824*3 + 0] = 0.195064f;	val_dir[9824*3 + 1] = -0.804639f;	val_dir[9824*3 + 2] = -0.560809f;
 	val_dir[9825*3 + 0] = 0.222647f;	val_dir[9825*3 + 1] = -0.791633f;	val_dir[9825*3 + 2] = -0.568986f;
 	val_dir[9826*3 + 0] = 0.250785f;	val_dir[9826*3 + 1] = -0.777433f;	val_dir[9826*3 + 2] = -0.576805f;
 	val_dir[9827*3 + 0] = 0.27940f;	val_dir[9827*3 + 1] = -0.762001f;	val_dir[9827*3 + 2] = -0.584201f;
 	val_dir[9828*3 + 0] = 0.308403f;	val_dir[9828*3 + 1] = -0.745307f;	val_dir[9828*3 + 2] = -0.591105f;
 	val_dir[9829*3 + 0] = 0.337691f;	val_dir[9829*3 + 1] = -0.727334f;	val_dir[9829*3 + 2] = -0.597453f;
 	val_dir[9830*3 + 0] = 0.367152f;	val_dir[9830*3 + 1] = -0.708079f;	val_dir[9830*3 + 2] = -0.603178f;
 	val_dir[9831*3 + 0] = 0.396664f;	val_dir[9831*3 + 1] = -0.687552f;	val_dir[9831*3 + 2] = -0.608219f;
 	val_dir[9832*3 + 0] = 0.426099f;	val_dir[9832*3 + 1] = -0.665780f;	val_dir[9832*3 + 2] = -0.612517f;
 	val_dir[9833*3 + 0] = 0.455321f;	val_dir[9833*3 + 1] = -0.642806f;	val_dir[9833*3 + 2] = -0.616022f;
 	val_dir[9834*3 + 0] = 0.484193f;	val_dir[9834*3 + 1] = -0.618691f;	val_dir[9834*3 + 2] = -0.618691f;
 	val_dir[9835*3 + 0] = 0.512578f;	val_dir[9835*3 + 1] = -0.593512f;	val_dir[9835*3 + 2] = -0.620490f;
 	val_dir[9836*3 + 0] = 0.540343f;	val_dir[9836*3 + 1] = -0.567360f;	val_dir[9836*3 + 2] = -0.621395f;
 	val_dir[9837*3 + 0] = 0.567360f;	val_dir[9837*3 + 1] = -0.540343f;	val_dir[9837*3 + 2] = -0.621395f;
 	val_dir[9838*3 + 0] = 0.593512f;	val_dir[9838*3 + 1] = -0.512578f;	val_dir[9838*3 + 2] = -0.620490f;
 	val_dir[9839*3 + 0] = 0.618691f;	val_dir[9839*3 + 1] = -0.484193f;	val_dir[9839*3 + 2] = -0.618691f;
 	val_dir[9840*3 + 0] = 0.642806f;	val_dir[9840*3 + 1] = -0.455321f;	val_dir[9840*3 + 2] = -0.616022f;
 	val_dir[9841*3 + 0] = 0.665780f;	val_dir[9841*3 + 1] = -0.426099f;	val_dir[9841*3 + 2] = -0.612517f;
 	val_dir[9842*3 + 0] = 0.687552f;	val_dir[9842*3 + 1] = -0.396664f;	val_dir[9842*3 + 2] = -0.608219f;
 	val_dir[9843*3 + 0] = 0.708079f;	val_dir[9843*3 + 1] = -0.367152f;	val_dir[9843*3 + 2] = -0.603178f;
 	val_dir[9844*3 + 0] = 0.727334f;	val_dir[9844*3 + 1] = -0.337691f;	val_dir[9844*3 + 2] = -0.597453f;
 	val_dir[9845*3 + 0] = 0.745307f;	val_dir[9845*3 + 1] = -0.308403f;	val_dir[9845*3 + 2] = -0.591105f;
 	val_dir[9846*3 + 0] = 0.762001f;	val_dir[9846*3 + 1] = -0.27940f;	val_dir[9846*3 + 2] = -0.584201f;
 	val_dir[9847*3 + 0] = 0.777433f;	val_dir[9847*3 + 1] = -0.250785f;	val_dir[9847*3 + 2] = -0.576805f;
 	val_dir[9848*3 + 0] = 0.791633f;	val_dir[9848*3 + 1] = -0.222647f;	val_dir[9848*3 + 2] = -0.568986f;
 	val_dir[9849*3 + 0] = 0.804639f;	val_dir[9849*3 + 1] = -0.195064f;	val_dir[9849*3 + 2] = -0.560809f;
 	val_dir[9850*3 + 0] = 0.816497f;	val_dir[9850*3 + 1] = -0.168102f;	val_dir[9850*3 + 2] = -0.552336f;
 	val_dir[9851*3 + 0] = 0.827259f;	val_dir[9851*3 + 1] = -0.141816f;	val_dir[9851*3 + 2] = -0.543627f;
 	val_dir[9852*3 + 0] = 0.836983f;	val_dir[9852*3 + 1] = -0.116248f;	val_dir[9852*3 + 2] = -0.534739f;
 	val_dir[9853*3 + 0] = 0.845728f;	val_dir[9853*3 + 1] = -0.091430f;	val_dir[9853*3 + 2] = -0.525723f;
 	val_dir[9854*3 + 0] = 0.853556f;	val_dir[9854*3 + 1] = -0.067386f;	val_dir[9854*3 + 2] = -0.516626f;
 	val_dir[9855*3 + 0] = 0.860527f;	val_dir[9855*3 + 1] = -0.044130f;	val_dir[9855*3 + 2] = -0.507490f;
 	val_dir[9856*3 + 0] = 0.866703f;	val_dir[9856*3 + 1] = -0.021668f;	val_dir[9856*3 + 2] = -0.498354f;
 	val_dir[9857*3 + 0] = 0.872143f;	val_dir[9857*3 + 1] = 0.0f;	val_dir[9857*3 + 2] = -0.489251f;
 	val_dir[9858*3 + 0] = 0.894224f;	val_dir[9858*3 + 1] = 0.021291f;	val_dir[9858*3 + 2] = -0.447112f;
 	val_dir[9859*3 + 0] = 0.913860f;	val_dir[9859*3 + 1] = 0.042505f;	val_dir[9859*3 + 2] = -0.403799f;
 	val_dir[9860*3 + 0] = 0.930917f;	val_dir[9860*3 + 1] = 0.063472f;	val_dir[9860*3 + 2] = -0.359673f;
 	val_dir[9861*3 + 0] = 0.945328f;	val_dir[9861*3 + 1] = 0.084029f;	val_dir[9861*3 + 2] = -0.315109f;
 	val_dir[9862*3 + 0] = 0.957088f;	val_dir[9862*3 + 1] = 0.104031f;	val_dir[9862*3 + 2] = -0.270481f;
 	val_dir[9863*3 + 0] = 0.966252f;	val_dir[9863*3 + 1] = 0.123351f;	val_dir[9863*3 + 2] = -0.226144f;
 	val_dir[9864*3 + 0] = 0.972929f;	val_dir[9864*3 + 1] = 0.141885f;	val_dir[9864*3 + 2] = -0.182424f;
 	val_dir[9865*3 + 0] = 0.977267f;	val_dir[9865*3 + 1] = 0.159554f;	val_dir[9865*3 + 2] = -0.139610f;
 	val_dir[9866*3 + 0] = 0.979451f;	val_dir[9866*3 + 1] = 0.176301f;	val_dir[9866*3 + 2] = -0.097945f;
 	val_dir[9867*3 + 0] = 0.979683f;	val_dir[9867*3 + 1] = 0.192095f;	val_dir[9867*3 + 2] = -0.057628f;
 	val_dir[9868*3 + 0] = 0.978177f;	val_dir[9868*3 + 1] = 0.206922f;	val_dir[9868*3 + 2] = -0.018811f;
 	val_dir[9869*3 + 0] = -0.224860f;	val_dir[9869*3 + 1] = -0.974391f;	val_dir[9869*3 + 2] = 0.0f;
 	val_dir[9870*3 + 0] = -0.210683f;	val_dir[9870*3 + 1] = -0.976804f;	val_dir[9870*3 + 2] = -0.038306f;
 	val_dir[9871*3 + 0] = -0.195515f;	val_dir[9871*3 + 1] = -0.977577f;	val_dir[9871*3 + 2] = -0.078206f;
 	val_dir[9872*3 + 0] = -0.179355f;	val_dir[9872*3 + 1] = -0.976491f;	val_dir[9872*3 + 2] = -0.119570f;
 	val_dir[9873*3 + 0] = -0.162221f;	val_dir[9873*3 + 1] = -0.973329f;	val_dir[9873*3 + 2] = -0.162221f;
 	val_dir[9874*3 + 0] = -0.144154f;	val_dir[9874*3 + 1] = -0.967890f;	val_dir[9874*3 + 2] = -0.205934f;
 	val_dir[9875*3 + 0] = -0.125218f;	val_dir[9875*3 + 1] = -0.960001f;	val_dir[9875*3 + 2] = -0.250435f;
 	val_dir[9876*3 + 0] = -0.105503f;	val_dir[9876*3 + 1] = -0.949528f;	val_dir[9876*3 + 2] = -0.295409f;
 	val_dir[9877*3 + 0] = -0.085126f;	val_dir[9877*3 + 1] = -0.936382f;	val_dir[9877*3 + 2] = -0.340503f;
 	val_dir[9878*3 + 0] = -0.064223f;	val_dir[9878*3 + 1] = -0.920537f;	val_dir[9878*3 + 2] = -0.385341f;
 	val_dir[9879*3 + 0] = -0.042954f;	val_dir[9879*3 + 1] = -0.902027f;	val_dir[9879*3 + 2] = -0.429537f;
 	val_dir[9880*3 + 0] = -0.021487f;	val_dir[9880*3 + 1] = -0.880957f;	val_dir[9880*3 + 2] = -0.472709f;
 	val_dir[9881*3 + 0] = 0.0f;	val_dir[9881*3 + 1] = -0.857493f;	val_dir[9881*3 + 2] = -0.514496f;
 	val_dir[9882*3 + 0] = 0.021832f;	val_dir[9882*3 + 1] = -0.851455f;	val_dir[9882*3 + 2] = -0.523973f;
 	val_dir[9883*3 + 0] = 0.044455f;	val_dir[9883*3 + 1] = -0.844653f;	val_dir[9883*3 + 2] = -0.533465f;
 	val_dir[9884*3 + 0] = 0.067867f;	val_dir[9884*3 + 1] = -0.837027f;	val_dir[9884*3 + 2] = -0.542936f;
 	val_dir[9885*3 + 0] = 0.092057f;	val_dir[9885*3 + 1] = -0.828517f;	val_dir[9885*3 + 2] = -0.552345f;
 	val_dir[9886*3 + 0] = 0.117009f;	val_dir[9886*3 + 1] = -0.819064f;	val_dir[9886*3 + 2] = -0.561644f;
 	val_dir[9887*3 + 0] = 0.142695f;	val_dir[9887*3 + 1] = -0.808608f;	val_dir[9887*3 + 2] = -0.570782f;
 	val_dir[9888*3 + 0] = 0.169080f;	val_dir[9888*3 + 1] = -0.797092f;	val_dir[9888*3 + 2] = -0.579703f;
 	val_dir[9889*3 + 0] = 0.196116f;	val_dir[9889*3 + 1] = -0.784465f;	val_dir[9889*3 + 2] = -0.588348f;
 	val_dir[9890*3 + 0] = 0.223745f;	val_dir[9890*3 + 1] = -0.770677f;	val_dir[9890*3 + 2] = -0.596653f;
 	val_dir[9891*3 + 0] = 0.251896f;	val_dir[9891*3 + 1] = -0.755689f;	val_dir[9891*3 + 2] = -0.604551f;
 	val_dir[9892*3 + 0] = 0.280488f;	val_dir[9892*3 + 1] = -0.739469f;	val_dir[9892*3 + 2] = -0.611974f;
 	val_dir[9893*3 + 0] = 0.309426f;	val_dir[9893*3 + 1] = -0.721995f;	val_dir[9893*3 + 2] = -0.618853f;
 	val_dir[9894*3 + 0] = 0.338606f;	val_dir[9894*3 + 1] = -0.703259f;	val_dir[9894*3 + 2] = -0.625119f;
 	val_dir[9895*3 + 0] = 0.367912f;	val_dir[9895*3 + 1] = -0.683265f;	val_dir[9895*3 + 2] = -0.630706f;
 	val_dir[9896*3 + 0] = 0.397220f;	val_dir[9896*3 + 1] = -0.662034f;	val_dir[9896*3 + 2] = -0.635553f;
 	val_dir[9897*3 + 0] = 0.426401f;	val_dir[9897*3 + 1] = -0.639602f;	val_dir[9897*3 + 2] = -0.639602f;
 	val_dir[9898*3 + 0] = 0.455321f;	val_dir[9898*3 + 1] = -0.616022f;	val_dir[9898*3 + 2] = -0.642806f;
 	val_dir[9899*3 + 0] = 0.483843f;	val_dir[9899*3 + 1] = -0.591364f;	val_dir[9899*3 + 2] = -0.645124f;
 	val_dir[9900*3 + 0] = 0.511834f;	val_dir[9900*3 + 1] = -0.565711f;	val_dir[9900*3 + 2] = -0.646527f;
 	val_dir[9901*3 + 0] = 0.539164f;	val_dir[9901*3 + 1] = -0.539164f;	val_dir[9901*3 + 2] = -0.646997f;
 	val_dir[9902*3 + 0] = 0.565711f;	val_dir[9902*3 + 1] = -0.511834f;	val_dir[9902*3 + 2] = -0.646527f;
 	val_dir[9903*3 + 0] = 0.591364f;	val_dir[9903*3 + 1] = -0.483843f;	val_dir[9903*3 + 2] = -0.645124f;
 	val_dir[9904*3 + 0] = 0.616022f;	val_dir[9904*3 + 1] = -0.455321f;	val_dir[9904*3 + 2] = -0.642806f;
 	val_dir[9905*3 + 0] = 0.639602f;	val_dir[9905*3 + 1] = -0.426401f;	val_dir[9905*3 + 2] = -0.639602f;
 	val_dir[9906*3 + 0] = 0.662034f;	val_dir[9906*3 + 1] = -0.397220f;	val_dir[9906*3 + 2] = -0.635553f;
 	val_dir[9907*3 + 0] = 0.683265f;	val_dir[9907*3 + 1] = -0.367912f;	val_dir[9907*3 + 2] = -0.630706f;
 	val_dir[9908*3 + 0] = 0.703259f;	val_dir[9908*3 + 1] = -0.338606f;	val_dir[9908*3 + 2] = -0.625119f;
 	val_dir[9909*3 + 0] = 0.721995f;	val_dir[9909*3 + 1] = -0.309426f;	val_dir[9909*3 + 2] = -0.618853f;
 	val_dir[9910*3 + 0] = 0.739469f;	val_dir[9910*3 + 1] = -0.280488f;	val_dir[9910*3 + 2] = -0.611974f;
 	val_dir[9911*3 + 0] = 0.755689f;	val_dir[9911*3 + 1] = -0.251896f;	val_dir[9911*3 + 2] = -0.604551f;
 	val_dir[9912*3 + 0] = 0.770677f;	val_dir[9912*3 + 1] = -0.223745f;	val_dir[9912*3 + 2] = -0.596653f;
 	val_dir[9913*3 + 0] = 0.784465f;	val_dir[9913*3 + 1] = -0.196116f;	val_dir[9913*3 + 2] = -0.588348f;
 	val_dir[9914*3 + 0] = 0.797092f;	val_dir[9914*3 + 1] = -0.169080f;	val_dir[9914*3 + 2] = -0.579703f;
 	val_dir[9915*3 + 0] = 0.808608f;	val_dir[9915*3 + 1] = -0.142695f;	val_dir[9915*3 + 2] = -0.570782f;
 	val_dir[9916*3 + 0] = 0.819064f;	val_dir[9916*3 + 1] = -0.117009f;	val_dir[9916*3 + 2] = -0.561644f;
 	val_dir[9917*3 + 0] = 0.828517f;	val_dir[9917*3 + 1] = -0.092057f;	val_dir[9917*3 + 2] = -0.552345f;
 	val_dir[9918*3 + 0] = 0.837027f;	val_dir[9918*3 + 1] = -0.067867f;	val_dir[9918*3 + 2] = -0.542936f;
 	val_dir[9919*3 + 0] = 0.844653f;	val_dir[9919*3 + 1] = -0.044455f;	val_dir[9919*3 + 2] = -0.533465f;
 	val_dir[9920*3 + 0] = 0.851455f;	val_dir[9920*3 + 1] = -0.021832f;	val_dir[9920*3 + 2] = -0.523973f;
 	val_dir[9921*3 + 0] = 0.857493f;	val_dir[9921*3 + 1] = 0.0f;	val_dir[9921*3 + 2] = -0.514496f;
 	val_dir[9922*3 + 0] = 0.880957f;	val_dir[9922*3 + 1] = 0.021487f;	val_dir[9922*3 + 2] = -0.472709f;
 	val_dir[9923*3 + 0] = 0.902027f;	val_dir[9923*3 + 1] = 0.042954f;	val_dir[9923*3 + 2] = -0.429537f;
 	val_dir[9924*3 + 0] = 0.920537f;	val_dir[9924*3 + 1] = 0.064223f;	val_dir[9924*3 + 2] = -0.385341f;
 	val_dir[9925*3 + 0] = 0.936382f;	val_dir[9925*3 + 1] = 0.085126f;	val_dir[9925*3 + 2] = -0.340503f;
 	val_dir[9926*3 + 0] = 0.949528f;	val_dir[9926*3 + 1] = 0.105503f;	val_dir[9926*3 + 2] = -0.295409f;
 	val_dir[9927*3 + 0] = 0.960001f;	val_dir[9927*3 + 1] = 0.125218f;	val_dir[9927*3 + 2] = -0.250435f;
 	val_dir[9928*3 + 0] = 0.967890f;	val_dir[9928*3 + 1] = 0.144154f;	val_dir[9928*3 + 2] = -0.205934f;
 	val_dir[9929*3 + 0] = 0.973329f;	val_dir[9929*3 + 1] = 0.162221f;	val_dir[9929*3 + 2] = -0.162221f;
 	val_dir[9930*3 + 0] = 0.976491f;	val_dir[9930*3 + 1] = 0.179355f;	val_dir[9930*3 + 2] = -0.119570f;
 	val_dir[9931*3 + 0] = 0.977577f;	val_dir[9931*3 + 1] = 0.195515f;	val_dir[9931*3 + 2] = -0.078206f;
 	val_dir[9932*3 + 0] = 0.976804f;	val_dir[9932*3 + 1] = 0.210683f;	val_dir[9932*3 + 2] = -0.038306f;
 	val_dir[9933*3 + 0] = 0.974391f;	val_dir[9933*3 + 1] = 0.224860f;	val_dir[9933*3 + 2] = 0.0f;
 	val_dir[9934*3 + 0] = -0.228998f;	val_dir[9934*3 + 1] = -0.973240f;	val_dir[9934*3 + 2] = -0.019083f;
 	val_dir[9935*3 + 0] = -0.214494f;	val_dir[9935*3 + 1] = -0.974972f;	val_dir[9935*3 + 2] = -0.058498f;
 	val_dir[9936*3 + 0] = -0.198968f;	val_dir[9936*3 + 1] = -0.974943f;	val_dir[9936*3 + 2] = -0.099484f;
 	val_dir[9937*3 + 0] = -0.182424f;	val_dir[9937*3 + 1] = -0.972929f;	val_dir[9937*3 + 2] = -0.141885f;
 	val_dir[9938*3 + 0] = -0.164887f;	val_dir[9938*3 + 1] = -0.968712f;	val_dir[9938*3 + 2] = -0.185498f;
 	val_dir[9939*3 + 0] = -0.146406f;	val_dir[9939*3 + 1] = -0.962099f;	val_dir[9939*3 + 2] = -0.230067f;
 	val_dir[9940*3 + 0] = -0.127057f;	val_dir[9940*3 + 1] = -0.952928f;	val_dir[9940*3 + 2] = -0.275290f;
 	val_dir[9941*3 + 0] = -0.106941f;	val_dir[9941*3 + 1] = -0.941082f;	val_dir[9941*3 + 2] = -0.320824f;
 	val_dir[9942*3 + 0] = -0.086186f;	val_dir[9942*3 + 1] = -0.92650f;	val_dir[9942*3 + 2] = -0.366291f;
 	val_dir[9943*3 + 0] = -0.064942f;	val_dir[9943*3 + 1] = -0.909185f;	val_dir[9943*3 + 2] = -0.411298f;
 	val_dir[9944*3 + 0] = -0.043376f;	val_dir[9944*3 + 1] = -0.889206f;	val_dir[9944*3 + 2] = -0.455447f;
 	val_dir[9945*3 + 0] = -0.021668f;	val_dir[9945*3 + 1] = -0.866703f;	val_dir[9945*3 + 2] = -0.498354f;
 	val_dir[9946*3 + 0] = 0.0f;	val_dir[9946*3 + 1] = -0.841879f;	val_dir[9946*3 + 2] = -0.539666f;
 	val_dir[9947*3 + 0] = 0.021979f;	val_dir[9947*3 + 1] = -0.835215f;	val_dir[9947*3 + 2] = -0.549484f;
 	val_dir[9948*3 + 0] = 0.044744f;	val_dir[9948*3 + 1] = -0.827759f;	val_dir[9948*3 + 2] = -0.559297f;
 	val_dir[9949*3 + 0] = 0.068288f;	val_dir[9949*3 + 1] = -0.819453f;	val_dir[9949*3 + 2] = -0.569064f;
 	val_dir[9950*3 + 0] = 0.092599f;	val_dir[9950*3 + 1] = -0.810237f;	val_dir[9950*3 + 2] = -0.578741f;
 	val_dir[9951*3 + 0] = 0.117655f;	val_dir[9951*3 + 1] = -0.800055f;	val_dir[9951*3 + 2] = -0.588276f;
 	val_dir[9952*3 + 0] = 0.143427f;	val_dir[9952*3 + 1] = -0.788851f;	val_dir[9952*3 + 2] = -0.597614f;
 	val_dir[9953*3 + 0] = 0.169875f;	val_dir[9953*3 + 1] = -0.776571f;	val_dir[9953*3 + 2] = -0.606696f;
 	val_dir[9954*3 + 0] = 0.196946f;	val_dir[9954*3 + 1] = -0.763167f;	val_dir[9954*3 + 2] = -0.615457f;
 	val_dir[9955*3 + 0] = 0.224579f;	val_dir[9955*3 + 1] = -0.748598f;	val_dir[9955*3 + 2] = -0.623831f;
 	val_dir[9956*3 + 0] = 0.252699f;	val_dir[9956*3 + 1] = -0.732828f;	val_dir[9956*3 + 2] = -0.631748f;
 	val_dir[9957*3 + 0] = 0.281220f;	val_dir[9957*3 + 1] = -0.715834f;	val_dir[9957*3 + 2] = -0.639138f;
 	val_dir[9958*3 + 0] = 0.310045f;	val_dir[9958*3 + 1] = -0.697602f;	val_dir[9958*3 + 2] = -0.645928f;
 	val_dir[9959*3 + 0] = 0.339066f;	val_dir[9959*3 + 1] = -0.678133f;	val_dir[9959*3 + 2] = -0.652051f;
 	val_dir[9960*3 + 0] = 0.368166f;	val_dir[9960*3 + 1] = -0.657440f;	val_dir[9960*3 + 2] = -0.657440f;
 	val_dir[9961*3 + 0] = 0.397220f;	val_dir[9961*3 + 1] = -0.635553f;	val_dir[9961*3 + 2] = -0.662034f;
 	val_dir[9962*3 + 0] = 0.426099f;	val_dir[9962*3 + 1] = -0.612517f;	val_dir[9962*3 + 2] = -0.665780f;
 	val_dir[9963*3 + 0] = 0.454669f;	val_dir[9963*3 + 1] = -0.588395f;	val_dir[9963*3 + 2] = -0.668631f;
 	val_dir[9964*3 + 0] = 0.482798f;	val_dir[9964*3 + 1] = -0.563264f;	val_dir[9964*3 + 2] = -0.670552f;
 	val_dir[9965*3 + 0] = 0.510355f;	val_dir[9965*3 + 1] = -0.537215f;	val_dir[9965*3 + 2] = -0.671519f;
 	val_dir[9966*3 + 0] = 0.537215f;	val_dir[9966*3 + 1] = -0.510355f;	val_dir[9966*3 + 2] = -0.671519f;
 	val_dir[9967*3 + 0] = 0.563264f;	val_dir[9967*3 + 1] = -0.482798f;	val_dir[9967*3 + 2] = -0.670552f;
 	val_dir[9968*3 + 0] = 0.588395f;	val_dir[9968*3 + 1] = -0.454669f;	val_dir[9968*3 + 2] = -0.668631f;
 	val_dir[9969*3 + 0] = 0.612517f;	val_dir[9969*3 + 1] = -0.426099f;	val_dir[9969*3 + 2] = -0.665780f;
 	val_dir[9970*3 + 0] = 0.635553f;	val_dir[9970*3 + 1] = -0.397220f;	val_dir[9970*3 + 2] = -0.662034f;
 	val_dir[9971*3 + 0] = 0.657440f;	val_dir[9971*3 + 1] = -0.368166f;	val_dir[9971*3 + 2] = -0.657440f;
 	val_dir[9972*3 + 0] = 0.678133f;	val_dir[9972*3 + 1] = -0.339066f;	val_dir[9972*3 + 2] = -0.652051f;
 	val_dir[9973*3 + 0] = 0.697602f;	val_dir[9973*3 + 1] = -0.310045f;	val_dir[9973*3 + 2] = -0.645928f;
 	val_dir[9974*3 + 0] = 0.715834f;	val_dir[9974*3 + 1] = -0.281220f;	val_dir[9974*3 + 2] = -0.639138f;
 	val_dir[9975*3 + 0] = 0.732828f;	val_dir[9975*3 + 1] = -0.252699f;	val_dir[9975*3 + 2] = -0.631748f;
 	val_dir[9976*3 + 0] = 0.748598f;	val_dir[9976*3 + 1] = -0.224579f;	val_dir[9976*3 + 2] = -0.623831f;
 	val_dir[9977*3 + 0] = 0.763167f;	val_dir[9977*3 + 1] = -0.196946f;	val_dir[9977*3 + 2] = -0.615457f;
 	val_dir[9978*3 + 0] = 0.776571f;	val_dir[9978*3 + 1] = -0.169875f;	val_dir[9978*3 + 2] = -0.606696f;
 	val_dir[9979*3 + 0] = 0.788851f;	val_dir[9979*3 + 1] = -0.143427f;	val_dir[9979*3 + 2] = -0.597614f;
 	val_dir[9980*3 + 0] = 0.800055f;	val_dir[9980*3 + 1] = -0.117655f;	val_dir[9980*3 + 2] = -0.588276f;
 	val_dir[9981*3 + 0] = 0.810237f;	val_dir[9981*3 + 1] = -0.092599f;	val_dir[9981*3 + 2] = -0.578741f;
 	val_dir[9982*3 + 0] = 0.819453f;	val_dir[9982*3 + 1] = -0.068288f;	val_dir[9982*3 + 2] = -0.569064f;
 	val_dir[9983*3 + 0] = 0.827759f;	val_dir[9983*3 + 1] = -0.044744f;	val_dir[9983*3 + 2] = -0.559297f;
 	val_dir[9984*3 + 0] = 0.835215f;	val_dir[9984*3 + 1] = -0.021979f;	val_dir[9984*3 + 2] = -0.549484f;
 	val_dir[9985*3 + 0] = 0.841879f;	val_dir[9985*3 + 1] = 0.0f;	val_dir[9985*3 + 2] = -0.539666f;
 	val_dir[9986*3 + 0] = 0.866703f;	val_dir[9986*3 + 1] = 0.021668f;	val_dir[9986*3 + 2] = -0.498354f;
 	val_dir[9987*3 + 0] = 0.889206f;	val_dir[9987*3 + 1] = 0.043376f;	val_dir[9987*3 + 2] = -0.455447f;
 	val_dir[9988*3 + 0] = 0.909185f;	val_dir[9988*3 + 1] = 0.064942f;	val_dir[9988*3 + 2] = -0.411298f;
 	val_dir[9989*3 + 0] = 0.92650f;	val_dir[9989*3 + 1] = 0.086186f;	val_dir[9989*3 + 2] = -0.366291f;
 	val_dir[9990*3 + 0] = 0.941082f;	val_dir[9990*3 + 1] = 0.106941f;	val_dir[9990*3 + 2] = -0.320824f;
 	val_dir[9991*3 + 0] = 0.952928f;	val_dir[9991*3 + 1] = 0.127057f;	val_dir[9991*3 + 2] = -0.275290f;
 	val_dir[9992*3 + 0] = 0.962099f;	val_dir[9992*3 + 1] = 0.146406f;	val_dir[9992*3 + 2] = -0.230067f;
 	val_dir[9993*3 + 0] = 0.968712f;	val_dir[9993*3 + 1] = 0.164887f;	val_dir[9993*3 + 2] = -0.185498f;
 	val_dir[9994*3 + 0] = 0.972929f;	val_dir[9994*3 + 1] = 0.182424f;	val_dir[9994*3 + 2] = -0.141885f;
 	val_dir[9995*3 + 0] = 0.974943f;	val_dir[9995*3 + 1] = 0.198968f;	val_dir[9995*3 + 2] = -0.099484f;
 	val_dir[9996*3 + 0] = 0.974972f;	val_dir[9996*3 + 1] = 0.214494f;	val_dir[9996*3 + 2] = -0.058498f;
 	val_dir[9997*3 + 0] = 0.973240f;	val_dir[9997*3 + 1] = 0.228998f;	val_dir[9997*3 + 2] = -0.019083f;
 	val_dir[9998*3 + 0] = -0.247004f;	val_dir[9998*3 + 1] = -0.969015f;	val_dir[9998*3 + 2] = 0.0f;
 	val_dir[9999*3 + 0] = -0.233197f;	val_dir[9999*3 + 1] = -0.971653f;	val_dir[9999*3 + 2] = -0.038866f;
 	val_dir[10000*3 + 0] = -0.218347f;	val_dir[10000*3 + 1] = -0.972636f;	val_dir[10000*3 + 2] = -0.079399f;
 	val_dir[10001*3 + 0] = -0.202444f;	val_dir[10001*3 + 1] = -0.971732f;	val_dir[10001*3 + 2] = -0.121466f;
 	val_dir[10002*3 + 0] = -0.185498f;	val_dir[10002*3 + 1] = -0.968712f;	val_dir[10002*3 + 2] = -0.164887f;
 	val_dir[10003*3 + 0] = -0.167542f;	val_dir[10003*3 + 1] = -0.963364f;	val_dir[10003*3 + 2] = -0.209427f;
 	val_dir[10004*3 + 0] = -0.148634f;	val_dir[10004*3 + 1] = -0.955502f;	val_dir[10004*3 + 2] = -0.254801f;
 	val_dir[10005*3 + 0] = -0.128861f;	val_dir[10005*3 + 1] = -0.944981f;	val_dir[10005*3 + 2] = -0.300676f;
 	val_dir[10006*3 + 0] = -0.108338f;	val_dir[10006*3 + 1] = -0.931705f;	val_dir[10006*3 + 2] = -0.346681f;
 	val_dir[10007*3 + 0] = -0.087204f;	val_dir[10007*3 + 1] = -0.915644f;	val_dir[10007*3 + 2] = -0.392419f;
 	val_dir[10008*3 + 0] = -0.065622f;	val_dir[10008*3 + 1] = -0.896831f;	val_dir[10008*3 + 2] = -0.437479f;
 	val_dir[10009*3 + 0] = -0.043769f;	val_dir[10009*3 + 1] = -0.875376f;	val_dir[10009*3 + 2] = -0.481457f;
 	val_dir[10010*3 + 0] = -0.021832f;	val_dir[10010*3 + 1] = -0.851455f;	val_dir[10010*3 + 2] = -0.523973f;
 	val_dir[10011*3 + 0] = 0.0f;	val_dir[10011*3 + 1] = -0.825307f;	val_dir[10011*3 + 2] = -0.564684f;
 	val_dir[10012*3 + 0] = 0.022108f;	val_dir[10012*3 + 1] = -0.817992f;	val_dir[10012*3 + 2] = -0.574805f;
 	val_dir[10013*3 + 0] = 0.044992f;	val_dir[10013*3 + 1] = -0.809858f;	val_dir[10013*3 + 2] = -0.584898f;
 	val_dir[10014*3 + 0] = 0.068644f;	val_dir[10014*3 + 1] = -0.800850f;	val_dir[10014*3 + 2] = -0.594917f;
 	val_dir[10015*3 + 0] = 0.093048f;	val_dir[10015*3 + 1] = -0.790912f;	val_dir[10015*3 + 2] = -0.604815f;
 	val_dir[10016*3 + 0] = 0.118180f;	val_dir[10016*3 + 1] = -0.779987f;	val_dir[10016*3 + 2] = -0.614535f;
 	val_dir[10017*3 + 0] = 0.144005f;	val_dir[10017*3 + 1] = -0.768025f;	val_dir[10017*3 + 2] = -0.624020f;
 	val_dir[10018*3 + 0] = 0.170478f;	val_dir[10018*3 + 1] = -0.754976f;	val_dir[10018*3 + 2] = -0.633205f;
 	val_dir[10019*3 + 0] = 0.197546f;	val_dir[10019*3 + 1] = -0.740797f;	val_dir[10019*3 + 2] = -0.642024f;
 	val_dir[10020*3 + 0] = 0.225141f;	val_dir[10020*3 + 1] = -0.725454f;	val_dir[10020*3 + 2] = -0.650407f;
 	val_dir[10021*3 + 0] = 0.253185f;	val_dir[10021*3 + 1] = -0.708918f;	val_dir[10021*3 + 2] = -0.658281f;
 	val_dir[10022*3 + 0] = 0.281589f;	val_dir[10022*3 + 1] = -0.691173f;	val_dir[10022*3 + 2] = -0.665574f;
 	val_dir[10023*3 + 0] = 0.310253f;	val_dir[10023*3 + 1] = -0.672214f;	val_dir[10023*3 + 2] = -0.672214f;
 	val_dir[10024*3 + 0] = 0.339066f;	val_dir[10024*3 + 1] = -0.652051f;	val_dir[10024*3 + 2] = -0.678133f;
 	val_dir[10025*3 + 0] = 0.367912f;	val_dir[10025*3 + 1] = -0.630706f;	val_dir[10025*3 + 2] = -0.683265f;
 	val_dir[10026*3 + 0] = 0.396664f;	val_dir[10026*3 + 1] = -0.608219f;	val_dir[10026*3 + 2] = -0.687552f;
 	val_dir[10027*3 + 0] = 0.425195f;	val_dir[10027*3 + 1] = -0.584643f;	val_dir[10027*3 + 2] = -0.690942f;
 	val_dir[10028*3 + 0] = 0.453374f;	val_dir[10028*3 + 1] = -0.560050f;	val_dir[10028*3 + 2] = -0.693395f;
 	val_dir[10029*3 + 0] = 0.481070f;	val_dir[10029*3 + 1] = -0.534522f;	val_dir[10029*3 + 2] = -0.694879f;
 	val_dir[10030*3 + 0] = 0.508159f;	val_dir[10030*3 + 1] = -0.508159f;	val_dir[10030*3 + 2] = -0.695376f;
 	val_dir[10031*3 + 0] = 0.534522f;	val_dir[10031*3 + 1] = -0.481070f;	val_dir[10031*3 + 2] = -0.694879f;
 	val_dir[10032*3 + 0] = 0.560050f;	val_dir[10032*3 + 1] = -0.453374f;	val_dir[10032*3 + 2] = -0.693395f;
 	val_dir[10033*3 + 0] = 0.584643f;	val_dir[10033*3 + 1] = -0.425195f;	val_dir[10033*3 + 2] = -0.690942f;
 	val_dir[10034*3 + 0] = 0.608219f;	val_dir[10034*3 + 1] = -0.396664f;	val_dir[10034*3 + 2] = -0.687552f;
 	val_dir[10035*3 + 0] = 0.630706f;	val_dir[10035*3 + 1] = -0.367912f;	val_dir[10035*3 + 2] = -0.683265f;
 	val_dir[10036*3 + 0] = 0.652051f;	val_dir[10036*3 + 1] = -0.339066f;	val_dir[10036*3 + 2] = -0.678133f;
 	val_dir[10037*3 + 0] = 0.672214f;	val_dir[10037*3 + 1] = -0.310253f;	val_dir[10037*3 + 2] = -0.672214f;
 	val_dir[10038*3 + 0] = 0.691173f;	val_dir[10038*3 + 1] = -0.281589f;	val_dir[10038*3 + 2] = -0.665574f;
 	val_dir[10039*3 + 0] = 0.708918f;	val_dir[10039*3 + 1] = -0.253185f;	val_dir[10039*3 + 2] = -0.658281f;
 	val_dir[10040*3 + 0] = 0.725454f;	val_dir[10040*3 + 1] = -0.225141f;	val_dir[10040*3 + 2] = -0.650407f;
 	val_dir[10041*3 + 0] = 0.740797f;	val_dir[10041*3 + 1] = -0.197546f;	val_dir[10041*3 + 2] = -0.642024f;
 	val_dir[10042*3 + 0] = 0.754976f;	val_dir[10042*3 + 1] = -0.170478f;	val_dir[10042*3 + 2] = -0.633205f;
 	val_dir[10043*3 + 0] = 0.768025f;	val_dir[10043*3 + 1] = -0.144005f;	val_dir[10043*3 + 2] = -0.624020f;
 	val_dir[10044*3 + 0] = 0.779987f;	val_dir[10044*3 + 1] = -0.118180f;	val_dir[10044*3 + 2] = -0.614535f;
 	val_dir[10045*3 + 0] = 0.790912f;	val_dir[10045*3 + 1] = -0.093048f;	val_dir[10045*3 + 2] = -0.604815f;
 	val_dir[10046*3 + 0] = 0.800850f;	val_dir[10046*3 + 1] = -0.068644f;	val_dir[10046*3 + 2] = -0.594917f;
 	val_dir[10047*3 + 0] = 0.809858f;	val_dir[10047*3 + 1] = -0.044992f;	val_dir[10047*3 + 2] = -0.584898f;
 	val_dir[10048*3 + 0] = 0.817992f;	val_dir[10048*3 + 1] = -0.022108f;	val_dir[10048*3 + 2] = -0.574805f;
 	val_dir[10049*3 + 0] = 0.825307f;	val_dir[10049*3 + 1] = 0.0f;	val_dir[10049*3 + 2] = -0.564684f;
 	val_dir[10050*3 + 0] = 0.851455f;	val_dir[10050*3 + 1] = 0.021832f;	val_dir[10050*3 + 2] = -0.523973f;
 	val_dir[10051*3 + 0] = 0.875376f;	val_dir[10051*3 + 1] = 0.043769f;	val_dir[10051*3 + 2] = -0.481457f;
 	val_dir[10052*3 + 0] = 0.896831f;	val_dir[10052*3 + 1] = 0.065622f;	val_dir[10052*3 + 2] = -0.437479f;
 	val_dir[10053*3 + 0] = 0.915644f;	val_dir[10053*3 + 1] = 0.087204f;	val_dir[10053*3 + 2] = -0.392419f;
 	val_dir[10054*3 + 0] = 0.931705f;	val_dir[10054*3 + 1] = 0.108338f;	val_dir[10054*3 + 2] = -0.346681f;
 	val_dir[10055*3 + 0] = 0.944981f;	val_dir[10055*3 + 1] = 0.128861f;	val_dir[10055*3 + 2] = -0.300676f;
 	val_dir[10056*3 + 0] = 0.955502f;	val_dir[10056*3 + 1] = 0.148634f;	val_dir[10056*3 + 2] = -0.254801f;
 	val_dir[10057*3 + 0] = 0.963364f;	val_dir[10057*3 + 1] = 0.167542f;	val_dir[10057*3 + 2] = -0.209427f;
 	val_dir[10058*3 + 0] = 0.968712f;	val_dir[10058*3 + 1] = 0.185498f;	val_dir[10058*3 + 2] = -0.164887f;
 	val_dir[10059*3 + 0] = 0.971732f;	val_dir[10059*3 + 1] = 0.202444f;	val_dir[10059*3 + 2] = -0.121466f;
 	val_dir[10060*3 + 0] = 0.972636f;	val_dir[10060*3 + 1] = 0.218347f;	val_dir[10060*3 + 2] = -0.079399f;
 	val_dir[10061*3 + 0] = 0.971653f;	val_dir[10061*3 + 1] = 0.233197f;	val_dir[10061*3 + 2] = -0.038866f;
 	val_dir[10062*3 + 0] = 0.969015f;	val_dir[10062*3 + 1] = 0.247004f;	val_dir[10062*3 + 2] = 0.0f;
 	val_dir[10063*3 + 0] = -0.251587f;	val_dir[10063*3 + 1] = -0.967641f;	val_dir[10063*3 + 2] = -0.019353f;
 	val_dir[10064*3 + 0] = -0.237449f;	val_dir[10064*3 + 1] = -0.969584f;	val_dir[10064*3 + 2] = -0.059362f;
 	val_dir[10065*3 + 0] = -0.222234f;	val_dir[10065*3 + 1] = -0.969746f;	val_dir[10065*3 + 2] = -0.101015f;
 	val_dir[10066*3 + 0] = -0.205934f;	val_dir[10066*3 + 1] = -0.967890f;	val_dir[10066*3 + 2] = -0.144154f;
 	val_dir[10067*3 + 0] = -0.188567f;	val_dir[10067*3 + 1] = -0.963787f;	val_dir[10067*3 + 2] = -0.188567f;
 	val_dir[10068*3 + 0] = -0.170174f;	val_dir[10068*3 + 1] = -0.957230f;	val_dir[10068*3 + 2] = -0.233990f;
 	val_dir[10069*3 + 0] = -0.150826f;	val_dir[10069*3 + 1] = -0.948047f;	val_dir[10069*3 + 2] = -0.280105f;
 	val_dir[10070*3 + 0] = -0.130620f;	val_dir[10070*3 + 1] = -0.936111f;	val_dir[10070*3 + 2] = -0.326550f;
 	val_dir[10071*3 + 0] = -0.109685f;	val_dir[10071*3 + 1] = -0.921354f;	val_dir[10071*3 + 2] = -0.372929f;
 	val_dir[10072*3 + 0] = -0.088173f;	val_dir[10072*3 + 1] = -0.903777f;	val_dir[10072*3 + 2] = -0.418823f;
 	val_dir[10073*3 + 0] = -0.066259f;	val_dir[10073*3 + 1] = -0.883452f;	val_dir[10073*3 + 2] = -0.463812f;
 	val_dir[10074*3 + 0] = -0.044130f;	val_dir[10074*3 + 1] = -0.860527f;	val_dir[10074*3 + 2] = -0.507490f;
 	val_dir[10075*3 + 0] = -0.021979f;	val_dir[10075*3 + 1] = -0.835215f;	val_dir[10075*3 + 2] = -0.549484f;
 	val_dir[10076*3 + 0] = 0.0f;	val_dir[10076*3 + 1] = -0.807791f;	val_dir[10076*3 + 2] = -0.589469f;
 	val_dir[10077*3 + 0] = 0.022217f;	val_dir[10077*3 + 1] = -0.799803f;	val_dir[10077*3 + 2] = -0.599852f;
 	val_dir[10078*3 + 0] = 0.045198f;	val_dir[10078*3 + 1] = -0.790973f;	val_dir[10078*3 + 2] = -0.610179f;
 	val_dir[10079*3 + 0] = 0.068934f;	val_dir[10079*3 + 1] = -0.781248f;	val_dir[10079*3 + 2] = -0.620403f;
 	val_dir[10080*3 + 0] = 0.093403f;	val_dir[10080*3 + 1] = -0.770574f;	val_dir[10080*3 + 2] = -0.630470f;
 	val_dir[10081*3 + 0] = 0.118578f;	val_dir[10081*3 + 1] = -0.758899f;	val_dir[10081*3 + 2] = -0.640321f;
 	val_dir[10082*3 + 0] = 0.144421f;	val_dir[10082*3 + 1] = -0.746176f;	val_dir[10082*3 + 2] = -0.649895f;
 	val_dir[10083*3 + 0] = 0.170884f;	val_dir[10083*3 + 1] = -0.732361f;	val_dir[10083*3 + 2] = -0.659125f;
 	val_dir[10084*3 + 0] = 0.197908f;	val_dir[10084*3 + 1] = -0.717418f;	val_dir[10084*3 + 2] = -0.667940f;
 	val_dir[10085*3 + 0] = 0.225423f;	val_dir[10085*3 + 1] = -0.701316f;	val_dir[10085*3 + 2] = -0.676269f;
 	val_dir[10086*3 + 0] = 0.253347f;	val_dir[10086*3 + 1] = -0.684038f;	val_dir[10086*3 + 2] = -0.684038f;
 	val_dir[10087*3 + 0] = 0.281589f;	val_dir[10087*3 + 1] = -0.665574f;	val_dir[10087*3 + 2] = -0.691173f;
 	val_dir[10088*3 + 0] = 0.310045f;	val_dir[10088*3 + 1] = -0.645928f;	val_dir[10088*3 + 2] = -0.697602f;
 	val_dir[10089*3 + 0] = 0.338606f;	val_dir[10089*3 + 1] = -0.625119f;	val_dir[10089*3 + 2] = -0.703259f;
 	val_dir[10090*3 + 0] = 0.367152f;	val_dir[10090*3 + 1] = -0.603178f;	val_dir[10090*3 + 2] = -0.708079f;
 	val_dir[10091*3 + 0] = 0.395559f;	val_dir[10091*3 + 1] = -0.580154f;	val_dir[10091*3 + 2] = -0.712007f;
 	val_dir[10092*3 + 0] = 0.423702f;	val_dir[10092*3 + 1] = -0.556108f;	val_dir[10092*3 + 2] = -0.714997f;
 	val_dir[10093*3 + 0] = 0.451451f;	val_dir[10093*3 + 1] = -0.531119f;	val_dir[10093*3 + 2] = -0.717011f;
 	val_dir[10094*3 + 0] = 0.478683f;	val_dir[10094*3 + 1] = -0.505276f;	val_dir[10094*3 + 2] = -0.718024f;
 	val_dir[10095*3 + 0] = 0.505276f;	val_dir[10095*3 + 1] = -0.478683f;	val_dir[10095*3 + 2] = -0.718024f;
 	val_dir[10096*3 + 0] = 0.531119f;	val_dir[10096*3 + 1] = -0.451451f;	val_dir[10096*3 + 2] = -0.717011f;
 	val_dir[10097*3 + 0] = 0.556108f;	val_dir[10097*3 + 1] = -0.423702f;	val_dir[10097*3 + 2] = -0.714997f;
 	val_dir[10098*3 + 0] = 0.580154f;	val_dir[10098*3 + 1] = -0.395559f;	val_dir[10098*3 + 2] = -0.712007f;
 	val_dir[10099*3 + 0] = 0.603178f;	val_dir[10099*3 + 1] = -0.367152f;	val_dir[10099*3 + 2] = -0.708079f;
 	val_dir[10100*3 + 0] = 0.625119f;	val_dir[10100*3 + 1] = -0.338606f;	val_dir[10100*3 + 2] = -0.703259f;
 	val_dir[10101*3 + 0] = 0.645928f;	val_dir[10101*3 + 1] = -0.310045f;	val_dir[10101*3 + 2] = -0.697602f;
 	val_dir[10102*3 + 0] = 0.665574f;	val_dir[10102*3 + 1] = -0.281589f;	val_dir[10102*3 + 2] = -0.691173f;
 	val_dir[10103*3 + 0] = 0.684038f;	val_dir[10103*3 + 1] = -0.253347f;	val_dir[10103*3 + 2] = -0.684038f;
 	val_dir[10104*3 + 0] = 0.701316f;	val_dir[10104*3 + 1] = -0.225423f;	val_dir[10104*3 + 2] = -0.676269f;
 	val_dir[10105*3 + 0] = 0.717418f;	val_dir[10105*3 + 1] = -0.197908f;	val_dir[10105*3 + 2] = -0.667940f;
 	val_dir[10106*3 + 0] = 0.732361f;	val_dir[10106*3 + 1] = -0.170884f;	val_dir[10106*3 + 2] = -0.659125f;
 	val_dir[10107*3 + 0] = 0.746176f;	val_dir[10107*3 + 1] = -0.144421f;	val_dir[10107*3 + 2] = -0.649895f;
 	val_dir[10108*3 + 0] = 0.758899f;	val_dir[10108*3 + 1] = -0.118578f;	val_dir[10108*3 + 2] = -0.640321f;
 	val_dir[10109*3 + 0] = 0.770574f;	val_dir[10109*3 + 1] = -0.093403f;	val_dir[10109*3 + 2] = -0.630470f;
 	val_dir[10110*3 + 0] = 0.781248f;	val_dir[10110*3 + 1] = -0.068934f;	val_dir[10110*3 + 2] = -0.620403f;
 	val_dir[10111*3 + 0] = 0.790973f;	val_dir[10111*3 + 1] = -0.045198f;	val_dir[10111*3 + 2] = -0.610179f;
 	val_dir[10112*3 + 0] = 0.799803f;	val_dir[10112*3 + 1] = -0.022217f;	val_dir[10112*3 + 2] = -0.599852f;
 	val_dir[10113*3 + 0] = 0.807791f;	val_dir[10113*3 + 1] = 0.0f;	val_dir[10113*3 + 2] = -0.589469f;
 	val_dir[10114*3 + 0] = 0.835215f;	val_dir[10114*3 + 1] = 0.021979f;	val_dir[10114*3 + 2] = -0.549484f;
 	val_dir[10115*3 + 0] = 0.860527f;	val_dir[10115*3 + 1] = 0.044130f;	val_dir[10115*3 + 2] = -0.507490f;
 	val_dir[10116*3 + 0] = 0.883452f;	val_dir[10116*3 + 1] = 0.066259f;	val_dir[10116*3 + 2] = -0.463812f;
 	val_dir[10117*3 + 0] = 0.903777f;	val_dir[10117*3 + 1] = 0.088173f;	val_dir[10117*3 + 2] = -0.418823f;
 	val_dir[10118*3 + 0] = 0.921354f;	val_dir[10118*3 + 1] = 0.109685f;	val_dir[10118*3 + 2] = -0.372929f;
 	val_dir[10119*3 + 0] = 0.936111f;	val_dir[10119*3 + 1] = 0.130620f;	val_dir[10119*3 + 2] = -0.326550f;
 	val_dir[10120*3 + 0] = 0.948047f;	val_dir[10120*3 + 1] = 0.150826f;	val_dir[10120*3 + 2] = -0.280105f;
 	val_dir[10121*3 + 0] = 0.957230f;	val_dir[10121*3 + 1] = 0.170174f;	val_dir[10121*3 + 2] = -0.233990f;
 	val_dir[10122*3 + 0] = 0.963787f;	val_dir[10122*3 + 1] = 0.188567f;	val_dir[10122*3 + 2] = -0.188567f;
 	val_dir[10123*3 + 0] = 0.967890f;	val_dir[10123*3 + 1] = 0.205934f;	val_dir[10123*3 + 2] = -0.144154f;
 	val_dir[10124*3 + 0] = 0.969746f;	val_dir[10124*3 + 1] = 0.222234f;	val_dir[10124*3 + 2] = -0.101015f;
 	val_dir[10125*3 + 0] = 0.969584f;	val_dir[10125*3 + 1] = 0.237449f;	val_dir[10125*3 + 2] = -0.059362f;
 	val_dir[10126*3 + 0] = 0.967641f;	val_dir[10126*3 + 1] = 0.251587f;	val_dir[10126*3 + 2] = -0.019353f;
 	val_dir[10127*3 + 0] = -0.269630f;	val_dir[10127*3 + 1] = -0.962964f;	val_dir[10127*3 + 2] = 0.0f;
 	val_dir[10128*3 + 0] = -0.256235f;	val_dir[10128*3 + 1] = -0.965810f;	val_dir[10128*3 + 2] = -0.039421f;
 	val_dir[10129*3 + 0] = -0.241747f;	val_dir[10129*3 + 1] = -0.966988f;	val_dir[10129*3 + 2] = -0.080582f;
 	val_dir[10130*3 + 0] = -0.226144f;	val_dir[10130*3 + 1] = -0.966252f;	val_dir[10130*3 + 2] = -0.123351f;
 	val_dir[10131*3 + 0] = -0.209427f;	val_dir[10131*3 + 1] = -0.963364f;	val_dir[10131*3 + 2] = -0.167542f;
 	val_dir[10132*3 + 0] = -0.191620f;	val_dir[10132*3 + 1] = -0.958098f;	val_dir[10132*3 + 2] = -0.212911f;
 	val_dir[10133*3 + 0] = -0.172774f;	val_dir[10133*3 + 1] = -0.950255f;	val_dir[10133*3 + 2] = -0.259161f;
 	val_dir[10134*3 + 0] = -0.152971f;	val_dir[10134*3 + 1] = -0.939680f;	val_dir[10134*3 + 2] = -0.305942f;
 	val_dir[10135*3 + 0] = -0.132324f;	val_dir[10135*3 + 1] = -0.926270f;	val_dir[10135*3 + 2] = -0.352865f;
 	val_dir[10136*3 + 0] = -0.110974f;	val_dir[10136*3 + 1] = -0.909988f;	val_dir[10136*3 + 2] = -0.399507f;
 	val_dir[10137*3 + 0] = -0.089087f;	val_dir[10137*3 + 1] = -0.890871f;	val_dir[10137*3 + 2] = -0.445435f;
 	val_dir[10138*3 + 0] = -0.066848f;	val_dir[10138*3 + 1] = -0.869030f;	val_dir[10138*3 + 2] = -0.490222f;
 	val_dir[10139*3 + 0] = -0.044455f;	val_dir[10139*3 + 1] = -0.844653f;	val_dir[10139*3 + 2] = -0.533465f;
 	val_dir[10140*3 + 0] = -0.022108f;	val_dir[10140*3 + 1] = -0.817992f;	val_dir[10140*3 + 2] = -0.574805f;
 	val_dir[10141*3 + 0] = 0.0f;	val_dir[10141*3 + 1] = -0.789352f;	val_dir[10141*3 + 2] = -0.613941f;
 	val_dir[10142*3 + 0] = 0.022305f;	val_dir[10142*3 + 1] = -0.780675f;	val_dir[10142*3 + 2] = -0.624540f;
 	val_dir[10143*3 + 0] = 0.045361f;	val_dir[10143*3 + 1] = -0.771136f;	val_dir[10143*3 + 2] = -0.635053f;
 	val_dir[10144*3 + 0] = 0.069153f;	val_dir[10144*3 + 1] = -0.760684f;	val_dir[10144*3 + 2] = -0.645429f;
 	val_dir[10145*3 + 0] = 0.093659f;	val_dir[10145*3 + 1] = -0.749269f;	val_dir[10145*3 + 2] = -0.655610f;
 	val_dir[10146*3 + 0] = 0.118846f;	val_dir[10146*3 + 1] = -0.736843f;	val_dir[10146*3 + 2] = -0.665536f;
 	val_dir[10147*3 + 0] = 0.144673f;	val_dir[10147*3 + 1] = -0.723364f;	val_dir[10147*3 + 2] = -0.675140f;
 	val_dir[10148*3 + 0] = 0.171088f;	val_dir[10148*3 + 1] = -0.708794f;	val_dir[10148*3 + 2] = -0.684353f;
 	val_dir[10149*3 + 0] = 0.198030f;	val_dir[10149*3 + 1] = -0.693103f;	val_dir[10149*3 + 2] = -0.693103f;
 	val_dir[10150*3 + 0] = 0.225423f;	val_dir[10150*3 + 1] = -0.676269f;	val_dir[10150*3 + 2] = -0.701316f;
 	val_dir[10151*3 + 0] = 0.253185f;	val_dir[10151*3 + 1] = -0.658281f;	val_dir[10151*3 + 2] = -0.708918f;
 	val_dir[10152*3 + 0] = 0.281220f;	val_dir[10152*3 + 1] = -0.639138f;	val_dir[10152*3 + 2] = -0.715834f;
 	val_dir[10153*3 + 0] = 0.309426f;	val_dir[10153*3 + 1] = -0.618853f;	val_dir[10153*3 + 2] = -0.721995f;
 	val_dir[10154*3 + 0] = 0.337691f;	val_dir[10154*3 + 1] = -0.597453f;	val_dir[10154*3 + 2] = -0.727334f;
 	val_dir[10155*3 + 0] = 0.365896f;	val_dir[10155*3 + 1] = -0.574979f;	val_dir[10155*3 + 2] = -0.731792f;
 	val_dir[10156*3 + 0] = 0.393919f;	val_dir[10156*3 + 1] = -0.551487f;	val_dir[10156*3 + 2] = -0.735316f;
 	val_dir[10157*3 + 0] = 0.421637f;	val_dir[10157*3 + 1] = -0.527046f;	val_dir[10157*3 + 2] = -0.737865f;
 	val_dir[10158*3 + 0] = 0.448926f;	val_dir[10158*3 + 1] = -0.501740f;	val_dir[10158*3 + 2] = -0.739407f;
 	val_dir[10159*3 + 0] = 0.475665f;	val_dir[10159*3 + 1] = -0.475665f;	val_dir[10159*3 + 2] = -0.739923f;
 	val_dir[10160*3 + 0] = 0.501740f;	val_dir[10160*3 + 1] = -0.448926f;	val_dir[10160*3 + 2] = -0.739407f;
 	val_dir[10161*3 + 0] = 0.527046f;	val_dir[10161*3 + 1] = -0.421637f;	val_dir[10161*3 + 2] = -0.737865f;
 	val_dir[10162*3 + 0] = 0.551487f;	val_dir[10162*3 + 1] = -0.393919f;	val_dir[10162*3 + 2] = -0.735316f;
 	val_dir[10163*3 + 0] = 0.574979f;	val_dir[10163*3 + 1] = -0.365896f;	val_dir[10163*3 + 2] = -0.731792f;
 	val_dir[10164*3 + 0] = 0.597453f;	val_dir[10164*3 + 1] = -0.337691f;	val_dir[10164*3 + 2] = -0.727334f;
 	val_dir[10165*3 + 0] = 0.618853f;	val_dir[10165*3 + 1] = -0.309426f;	val_dir[10165*3 + 2] = -0.721995f;
 	val_dir[10166*3 + 0] = 0.639138f;	val_dir[10166*3 + 1] = -0.281220f;	val_dir[10166*3 + 2] = -0.715834f;
 	val_dir[10167*3 + 0] = 0.658281f;	val_dir[10167*3 + 1] = -0.253185f;	val_dir[10167*3 + 2] = -0.708918f;
 	val_dir[10168*3 + 0] = 0.676269f;	val_dir[10168*3 + 1] = -0.225423f;	val_dir[10168*3 + 2] = -0.701316f;
 	val_dir[10169*3 + 0] = 0.693103f;	val_dir[10169*3 + 1] = -0.198030f;	val_dir[10169*3 + 2] = -0.693103f;
 	val_dir[10170*3 + 0] = 0.708794f;	val_dir[10170*3 + 1] = -0.171088f;	val_dir[10170*3 + 2] = -0.684353f;
 	val_dir[10171*3 + 0] = 0.723364f;	val_dir[10171*3 + 1] = -0.144673f;	val_dir[10171*3 + 2] = -0.675140f;
 	val_dir[10172*3 + 0] = 0.736843f;	val_dir[10172*3 + 1] = -0.118846f;	val_dir[10172*3 + 2] = -0.665536f;
 	val_dir[10173*3 + 0] = 0.749269f;	val_dir[10173*3 + 1] = -0.093659f;	val_dir[10173*3 + 2] = -0.655610f;
 	val_dir[10174*3 + 0] = 0.760684f;	val_dir[10174*3 + 1] = -0.069153f;	val_dir[10174*3 + 2] = -0.645429f;
 	val_dir[10175*3 + 0] = 0.771136f;	val_dir[10175*3 + 1] = -0.045361f;	val_dir[10175*3 + 2] = -0.635053f;
 	val_dir[10176*3 + 0] = 0.780675f;	val_dir[10176*3 + 1] = -0.022305f;	val_dir[10176*3 + 2] = -0.624540f;
 	val_dir[10177*3 + 0] = 0.789352f;	val_dir[10177*3 + 1] = 0.0f;	val_dir[10177*3 + 2] = -0.613941f;
 	val_dir[10178*3 + 0] = 0.817992f;	val_dir[10178*3 + 1] = 0.022108f;	val_dir[10178*3 + 2] = -0.574805f;
 	val_dir[10179*3 + 0] = 0.844653f;	val_dir[10179*3 + 1] = 0.044455f;	val_dir[10179*3 + 2] = -0.533465f;
 	val_dir[10180*3 + 0] = 0.869030f;	val_dir[10180*3 + 1] = 0.066848f;	val_dir[10180*3 + 2] = -0.490222f;
 	val_dir[10181*3 + 0] = 0.890871f;	val_dir[10181*3 + 1] = 0.089087f;	val_dir[10181*3 + 2] = -0.445435f;
 	val_dir[10182*3 + 0] = 0.909988f;	val_dir[10182*3 + 1] = 0.110974f;	val_dir[10182*3 + 2] = -0.399507f;
 	val_dir[10183*3 + 0] = 0.926270f;	val_dir[10183*3 + 1] = 0.132324f;	val_dir[10183*3 + 2] = -0.352865f;
 	val_dir[10184*3 + 0] = 0.939680f;	val_dir[10184*3 + 1] = 0.152971f;	val_dir[10184*3 + 2] = -0.305942f;
 	val_dir[10185*3 + 0] = 0.950255f;	val_dir[10185*3 + 1] = 0.172774f;	val_dir[10185*3 + 2] = -0.259161f;
 	val_dir[10186*3 + 0] = 0.958098f;	val_dir[10186*3 + 1] = 0.191620f;	val_dir[10186*3 + 2] = -0.212911f;
 	val_dir[10187*3 + 0] = 0.963364f;	val_dir[10187*3 + 1] = 0.209427f;	val_dir[10187*3 + 2] = -0.167542f;
 	val_dir[10188*3 + 0] = 0.966252f;	val_dir[10188*3 + 1] = 0.226144f;	val_dir[10188*3 + 2] = -0.123351f;
 	val_dir[10189*3 + 0] = 0.966988f;	val_dir[10189*3 + 1] = 0.241747f;	val_dir[10189*3 + 2] = -0.080582f;
 	val_dir[10190*3 + 0] = 0.965810f;	val_dir[10190*3 + 1] = 0.256235f;	val_dir[10190*3 + 2] = -0.039421f;
 	val_dir[10191*3 + 0] = 0.962964f;	val_dir[10191*3 + 1] = 0.269630f;	val_dir[10191*3 + 2] = 0.0f;
 	val_dir[10192*3 + 0] = -0.274668f;	val_dir[10192*3 + 1] = -0.961339f;	val_dir[10192*3 + 2] = -0.019619f;
 	val_dir[10193*3 + 0] = -0.260941f;	val_dir[10193*3 + 1] = -0.963475f;	val_dir[10193*3 + 2] = -0.060217f;
 	val_dir[10194*3 + 0] = -0.246079f;	val_dir[10194*3 + 1] = -0.963811f;	val_dir[10194*3 + 2] = -0.102533f;
 	val_dir[10195*3 + 0] = -0.230067f;	val_dir[10195*3 + 1] = -0.962099f;	val_dir[10195*3 + 2] = -0.146406f;
 	val_dir[10196*3 + 0] = -0.212911f;	val_dir[10196*3 + 1] = -0.958098f;	val_dir[10196*3 + 2] = -0.191620f;
 	val_dir[10197*3 + 0] = -0.194643f;	val_dir[10197*3 + 1] = -0.951588f;	val_dir[10197*3 + 2] = -0.237897f;
 	val_dir[10198*3 + 0] = -0.175327f;	val_dir[10198*3 + 1] = -0.942384f;	val_dir[10198*3 + 2] = -0.284907f;
 	val_dir[10199*3 + 0] = -0.155059f;	val_dir[10199*3 + 1] = -0.930352f;	val_dir[10199*3 + 2] = -0.332269f;
 	val_dir[10200*3 + 0] = -0.133963f;	val_dir[10200*3 + 1] = -0.915416f;	val_dir[10200*3 + 2] = -0.379563f;
 	val_dir[10201*3 + 0] = -0.112197f;	val_dir[10201*3 + 1] = -0.897574f;	val_dir[10201*3 + 2] = -0.426348f;
 	val_dir[10202*3 + 0] = -0.089939f;	val_dir[10202*3 + 1] = -0.876903f;	val_dir[10202*3 + 2] = -0.472178f;
 	val_dir[10203*3 + 0] = -0.067386f;	val_dir[10203*3 + 1] = -0.853556f;	val_dir[10203*3 + 2] = -0.516626f;
 	val_dir[10204*3 + 0] = -0.044744f;	val_dir[10204*3 + 1] = -0.827759f;	val_dir[10204*3 + 2] = -0.559297f;
 	val_dir[10205*3 + 0] = -0.022217f;	val_dir[10205*3 + 1] = -0.799803f;	val_dir[10205*3 + 2] = -0.599852f;
 	val_dir[10206*3 + 0] = 0.0f;	val_dir[10206*3 + 1] = -0.770022f;	val_dir[10206*3 + 2] = -0.638018f;
 	val_dir[10207*3 + 0] = 0.022372f;	val_dir[10207*3 + 1] = -0.760644f;	val_dir[10207*3 + 2] = -0.648784f;
 	val_dir[10208*3 + 0] = 0.045478f;	val_dir[10208*3 + 1] = -0.750388f;	val_dir[10208*3 + 2] = -0.659432f;
 	val_dir[10209*3 + 0] = 0.069301f;	val_dir[10209*3 + 1] = -0.739205f;	val_dir[10209*3 + 2] = -0.669905f;
 	val_dir[10210*3 + 0] = 0.093813f;	val_dir[10210*3 + 1] = -0.727051f;	val_dir[10210*3 + 2] = -0.680144f;
 	val_dir[10211*3 + 0] = 0.118980f;	val_dir[10211*3 + 1] = -0.713881f;	val_dir[10211*3 + 2] = -0.690085f;
 	val_dir[10212*3 + 0] = 0.144757f;	val_dir[10212*3 + 1] = -0.699659f;	val_dir[10212*3 + 2] = -0.699659f;
 	val_dir[10213*3 + 0] = 0.171088f;	val_dir[10213*3 + 1] = -0.684353f;	val_dir[10213*3 + 2] = -0.708794f;
 	val_dir[10214*3 + 0] = 0.197908f;	val_dir[10214*3 + 1] = -0.667940f;	val_dir[10214*3 + 2] = -0.717418f;
 	val_dir[10215*3 + 0] = 0.225141f;	val_dir[10215*3 + 1] = -0.650407f;	val_dir[10215*3 + 2] = -0.725454f;
 	val_dir[10216*3 + 0] = 0.252699f;	val_dir[10216*3 + 1] = -0.631748f;	val_dir[10216*3 + 2] = -0.732828f;
 	val_dir[10217*3 + 0] = 0.280488f;	val_dir[10217*3 + 1] = -0.611974f;	val_dir[10217*3 + 2] = -0.739469f;
 	val_dir[10218*3 + 0] = 0.308403f;	val_dir[10218*3 + 1] = -0.591105f;	val_dir[10218*3 + 2] = -0.745307f;
 	val_dir[10219*3 + 0] = 0.336332f;	val_dir[10219*3 + 1] = -0.569177f;	val_dir[10219*3 + 2] = -0.750279f;
 	val_dir[10220*3 + 0] = 0.364159f;	val_dir[10220*3 + 1] = -0.546238f;	val_dir[10220*3 + 2] = -0.754329f;
 	val_dir[10221*3 + 0] = 0.391764f;	val_dir[10221*3 + 1] = -0.522352f;	val_dir[10221*3 + 2] = -0.757410f;
 	val_dir[10222*3 + 0] = 0.419026f;	val_dir[10222*3 + 1] = -0.497594f;	val_dir[10222*3 + 2] = -0.759485f;
 	val_dir[10223*3 + 0] = 0.445827f;	val_dir[10223*3 + 1] = -0.472053f;	val_dir[10223*3 + 2] = -0.760529f;
 	val_dir[10224*3 + 0] = 0.472053f;	val_dir[10224*3 + 1] = -0.445827f;	val_dir[10224*3 + 2] = -0.760529f;
 	val_dir[10225*3 + 0] = 0.497594f;	val_dir[10225*3 + 1] = -0.419026f;	val_dir[10225*3 + 2] = -0.759485f;
 	val_dir[10226*3 + 0] = 0.522352f;	val_dir[10226*3 + 1] = -0.391764f;	val_dir[10226*3 + 2] = -0.757410f;
 	val_dir[10227*3 + 0] = 0.546238f;	val_dir[10227*3 + 1] = -0.364159f;	val_dir[10227*3 + 2] = -0.754329f;
 	val_dir[10228*3 + 0] = 0.569177f;	val_dir[10228*3 + 1] = -0.336332f;	val_dir[10228*3 + 2] = -0.750279f;
 	val_dir[10229*3 + 0] = 0.591105f;	val_dir[10229*3 + 1] = -0.308403f;	val_dir[10229*3 + 2] = -0.745307f;
 	val_dir[10230*3 + 0] = 0.611974f;	val_dir[10230*3 + 1] = -0.280488f;	val_dir[10230*3 + 2] = -0.739469f;
 	val_dir[10231*3 + 0] = 0.631748f;	val_dir[10231*3 + 1] = -0.252699f;	val_dir[10231*3 + 2] = -0.732828f;
 	val_dir[10232*3 + 0] = 0.650407f;	val_dir[10232*3 + 1] = -0.225141f;	val_dir[10232*3 + 2] = -0.725454f;
 	val_dir[10233*3 + 0] = 0.667940f;	val_dir[10233*3 + 1] = -0.197908f;	val_dir[10233*3 + 2] = -0.717418f;
 	val_dir[10234*3 + 0] = 0.684353f;	val_dir[10234*3 + 1] = -0.171088f;	val_dir[10234*3 + 2] = -0.708794f;
 	val_dir[10235*3 + 0] = 0.699659f;	val_dir[10235*3 + 1] = -0.144757f;	val_dir[10235*3 + 2] = -0.699659f;
 	val_dir[10236*3 + 0] = 0.713881f;	val_dir[10236*3 + 1] = -0.118980f;	val_dir[10236*3 + 2] = -0.690085f;
 	val_dir[10237*3 + 0] = 0.727051f;	val_dir[10237*3 + 1] = -0.093813f;	val_dir[10237*3 + 2] = -0.680144f;
 	val_dir[10238*3 + 0] = 0.739205f;	val_dir[10238*3 + 1] = -0.069301f;	val_dir[10238*3 + 2] = -0.669905f;
 	val_dir[10239*3 + 0] = 0.750388f;	val_dir[10239*3 + 1] = -0.045478f;	val_dir[10239*3 + 2] = -0.659432f;
 	val_dir[10240*3 + 0] = 0.760644f;	val_dir[10240*3 + 1] = -0.022372f;	val_dir[10240*3 + 2] = -0.648784f;
 	val_dir[10241*3 + 0] = 0.770022f;	val_dir[10241*3 + 1] = 0.0f;	val_dir[10241*3 + 2] = -0.638018f;
 	val_dir[10242*3 + 0] = 0.799803f;	val_dir[10242*3 + 1] = 0.022217f;	val_dir[10242*3 + 2] = -0.599852f;
 	val_dir[10243*3 + 0] = 0.827759f;	val_dir[10243*3 + 1] = 0.044744f;	val_dir[10243*3 + 2] = -0.559297f;
 	val_dir[10244*3 + 0] = 0.853556f;	val_dir[10244*3 + 1] = 0.067386f;	val_dir[10244*3 + 2] = -0.516626f;
 	val_dir[10245*3 + 0] = 0.876903f;	val_dir[10245*3 + 1] = 0.089939f;	val_dir[10245*3 + 2] = -0.472178f;
 	val_dir[10246*3 + 0] = 0.897574f;	val_dir[10246*3 + 1] = 0.112197f;	val_dir[10246*3 + 2] = -0.426348f;
 	val_dir[10247*3 + 0] = 0.915416f;	val_dir[10247*3 + 1] = 0.133963f;	val_dir[10247*3 + 2] = -0.379563f;
 	val_dir[10248*3 + 0] = 0.930352f;	val_dir[10248*3 + 1] = 0.155059f;	val_dir[10248*3 + 2] = -0.332269f;
 	val_dir[10249*3 + 0] = 0.942384f;	val_dir[10249*3 + 1] = 0.175327f;	val_dir[10249*3 + 2] = -0.284907f;
 	val_dir[10250*3 + 0] = 0.951588f;	val_dir[10250*3 + 1] = 0.194643f;	val_dir[10250*3 + 2] = -0.237897f;
 	val_dir[10251*3 + 0] = 0.958098f;	val_dir[10251*3 + 1] = 0.212911f;	val_dir[10251*3 + 2] = -0.191620f;
 	val_dir[10252*3 + 0] = 0.962099f;	val_dir[10252*3 + 1] = 0.230067f;	val_dir[10252*3 + 2] = -0.146406f;
 	val_dir[10253*3 + 0] = 0.963811f;	val_dir[10253*3 + 1] = 0.246079f;	val_dir[10253*3 + 2] = -0.102533f;
 	val_dir[10254*3 + 0] = 0.963475f;	val_dir[10254*3 + 1] = 0.260941f;	val_dir[10254*3 + 2] = -0.060217f;
 	val_dir[10255*3 + 0] = 0.961339f;	val_dir[10255*3 + 1] = 0.274668f;	val_dir[10255*3 + 2] = -0.019619f;
 	val_dir[10256*3 + 0] = -0.292714f;	val_dir[10256*3 + 1] = -0.95620f;	val_dir[10256*3 + 2] = 0.0f;
 	val_dir[10257*3 + 0] = -0.279776f;	val_dir[10257*3 + 1] = -0.959233f;	val_dir[10257*3 + 2] = -0.039968f;
 	val_dir[10258*3 + 0] = -0.265694f;	val_dir[10258*3 + 1] = -0.960585f;	val_dir[10258*3 + 2] = -0.081752f;
 	val_dir[10259*3 + 0] = -0.250435f;	val_dir[10259*3 + 1] = -0.960001f;	val_dir[10259*3 + 2] = -0.125218f;
 	val_dir[10260*3 + 0] = -0.233990f;	val_dir[10260*3 + 1] = -0.957230f;	val_dir[10260*3 + 2] = -0.170174f;
 	val_dir[10261*3 + 0] = -0.216371f;	val_dir[10261*3 + 1] = -0.952033f;	val_dir[10261*3 + 2] = -0.216371f;
 	val_dir[10262*3 + 0] = -0.197623f;	val_dir[10262*3 + 1] = -0.94420f;	val_dir[10262*3 + 2] = -0.263498f;
 	val_dir[10263*3 + 0] = -0.177822f;	val_dir[10263*3 + 1] = -0.933564f;	val_dir[10263*3 + 2] = -0.311188f;
 	val_dir[10264*3 + 0] = -0.157075f;	val_dir[10264*3 + 1] = -0.920014f;	val_dir[10264*3 + 2] = -0.359030f;
 	val_dir[10265*3 + 0] = -0.135526f;	val_dir[10265*3 + 1] = -0.903508f;	val_dir[10265*3 + 2] = -0.406579f;
 	val_dir[10266*3 + 0] = -0.113344f;	val_dir[10266*3 + 1] = -0.884083f;	val_dir[10266*3 + 2] = -0.453376f;
 	val_dir[10267*3 + 0] = -0.090722f;	val_dir[10267*3 + 1] = -0.861857f;	val_dir[10267*3 + 2] = -0.498970f;
 	val_dir[10268*3 + 0] = -0.067867f;	val_dir[10268*3 + 1] = -0.837027f;	val_dir[10268*3 + 2] = -0.542936f;
 	val_dir[10269*3 + 0] = -0.044992f;	val_dir[10269*3 + 1] = -0.809858f;	val_dir[10269*3 + 2] = -0.584898f;
 	val_dir[10270*3 + 0] = -0.022305f;	val_dir[10270*3 + 1] = -0.780675f;	val_dir[10270*3 + 2] = -0.624540f;
 	val_dir[10271*3 + 0] = 0.0f;	val_dir[10271*3 + 1] = -0.749838f;	val_dir[10271*3 + 2] = -0.661622f;
 	val_dir[10272*3 + 0] = 0.022417f;	val_dir[10272*3 + 1] = -0.739754f;	val_dir[10272*3 + 2] = -0.672504f;
 	val_dir[10273*3 + 0] = 0.045549f;	val_dir[10273*3 + 1] = -0.728780f;	val_dir[10273*3 + 2] = -0.683231f;
 	val_dir[10274*3 + 0] = 0.069375f;	val_dir[10274*3 + 1] = -0.716871f;	val_dir[10274*3 + 2] = -0.693746f;
 	val_dir[10275*3 + 0] = 0.093865f;	val_dir[10275*3 + 1] = -0.703985f;	val_dir[10275*3 + 2] = -0.703985f;
 	val_dir[10276*3 + 0] = 0.118980f;	val_dir[10276*3 + 1] = -0.690085f;	val_dir[10276*3 + 2] = -0.713881f;
 	val_dir[10277*3 + 0] = 0.144673f;	val_dir[10277*3 + 1] = -0.675140f;	val_dir[10277*3 + 2] = -0.723364f;
 	val_dir[10278*3 + 0] = 0.170884f;	val_dir[10278*3 + 1] = -0.659125f;	val_dir[10278*3 + 2] = -0.732361f;
 	val_dir[10279*3 + 0] = 0.197546f;	val_dir[10279*3 + 1] = -0.642024f;	val_dir[10279*3 + 2] = -0.740797f;
 	val_dir[10280*3 + 0] = 0.224579f;	val_dir[10280*3 + 1] = -0.623831f;	val_dir[10280*3 + 2] = -0.748598f;
 	val_dir[10281*3 + 0] = 0.251896f;	val_dir[10281*3 + 1] = -0.604551f;	val_dir[10281*3 + 2] = -0.755689f;
 	val_dir[10282*3 + 0] = 0.27940f;	val_dir[10282*3 + 1] = -0.584201f;	val_dir[10282*3 + 2] = -0.762001f;
 	val_dir[10283*3 + 0] = 0.306987f;	val_dir[10283*3 + 1] = -0.562809f;	val_dir[10283*3 + 2] = -0.767467f;
 	val_dir[10284*3 + 0] = 0.334545f;	val_dir[10284*3 + 1] = -0.540419f;	val_dir[10284*3 + 2] = -0.772027f;
 	val_dir[10285*3 + 0] = 0.361961f;	val_dir[10285*3 + 1] = -0.517088f;	val_dir[10285*3 + 2] = -0.775632f;
 	val_dir[10286*3 + 0] = 0.389118f;	val_dir[10286*3 + 1] = -0.492883f;	val_dir[10286*3 + 2] = -0.778237f;
 	val_dir[10287*3 + 0] = 0.41590f;	val_dir[10287*3 + 1] = -0.467888f;	val_dir[10287*3 + 2] = -0.779813f;
 	val_dir[10288*3 + 0] = 0.442193f;	val_dir[10288*3 + 1] = -0.442193f;	val_dir[10288*3 + 2] = -0.780340f;
 	val_dir[10289*3 + 0] = 0.467888f;	val_dir[10289*3 + 1] = -0.41590f;	val_dir[10289*3 + 2] = -0.779813f;
 	val_dir[10290*3 + 0] = 0.492883f;	val_dir[10290*3 + 1] = -0.389118f;	val_dir[10290*3 + 2] = -0.778237f;
 	val_dir[10291*3 + 0] = 0.517088f;	val_dir[10291*3 + 1] = -0.361961f;	val_dir[10291*3 + 2] = -0.775632f;
 	val_dir[10292*3 + 0] = 0.540419f;	val_dir[10292*3 + 1] = -0.334545f;	val_dir[10292*3 + 2] = -0.772027f;
 	val_dir[10293*3 + 0] = 0.562809f;	val_dir[10293*3 + 1] = -0.306987f;	val_dir[10293*3 + 2] = -0.767467f;
 	val_dir[10294*3 + 0] = 0.584201f;	val_dir[10294*3 + 1] = -0.27940f;	val_dir[10294*3 + 2] = -0.762001f;
 	val_dir[10295*3 + 0] = 0.604551f;	val_dir[10295*3 + 1] = -0.251896f;	val_dir[10295*3 + 2] = -0.755689f;
 	val_dir[10296*3 + 0] = 0.623831f;	val_dir[10296*3 + 1] = -0.224579f;	val_dir[10296*3 + 2] = -0.748598f;
 	val_dir[10297*3 + 0] = 0.642024f;	val_dir[10297*3 + 1] = -0.197546f;	val_dir[10297*3 + 2] = -0.740797f;
 	val_dir[10298*3 + 0] = 0.659125f;	val_dir[10298*3 + 1] = -0.170884f;	val_dir[10298*3 + 2] = -0.732361f;
 	val_dir[10299*3 + 0] = 0.675140f;	val_dir[10299*3 + 1] = -0.144673f;	val_dir[10299*3 + 2] = -0.723364f;
 	val_dir[10300*3 + 0] = 0.690085f;	val_dir[10300*3 + 1] = -0.118980f;	val_dir[10300*3 + 2] = -0.713881f;
 	val_dir[10301*3 + 0] = 0.703985f;	val_dir[10301*3 + 1] = -0.093865f;	val_dir[10301*3 + 2] = -0.703985f;
 	val_dir[10302*3 + 0] = 0.716871f;	val_dir[10302*3 + 1] = -0.069375f;	val_dir[10302*3 + 2] = -0.693746f;
 	val_dir[10303*3 + 0] = 0.728780f;	val_dir[10303*3 + 1] = -0.045549f;	val_dir[10303*3 + 2] = -0.683231f;
 	val_dir[10304*3 + 0] = 0.739754f;	val_dir[10304*3 + 1] = -0.022417f;	val_dir[10304*3 + 2] = -0.672504f;
 	val_dir[10305*3 + 0] = 0.749838f;	val_dir[10305*3 + 1] = 0.0f;	val_dir[10305*3 + 2] = -0.661622f;
 	val_dir[10306*3 + 0] = 0.780675f;	val_dir[10306*3 + 1] = 0.022305f;	val_dir[10306*3 + 2] = -0.624540f;
 	val_dir[10307*3 + 0] = 0.809858f;	val_dir[10307*3 + 1] = 0.044992f;	val_dir[10307*3 + 2] = -0.584898f;
 	val_dir[10308*3 + 0] = 0.837027f;	val_dir[10308*3 + 1] = 0.067867f;	val_dir[10308*3 + 2] = -0.542936f;
 	val_dir[10309*3 + 0] = 0.861857f;	val_dir[10309*3 + 1] = 0.090722f;	val_dir[10309*3 + 2] = -0.498970f;
 	val_dir[10310*3 + 0] = 0.884083f;	val_dir[10310*3 + 1] = 0.113344f;	val_dir[10310*3 + 2] = -0.453376f;
 	val_dir[10311*3 + 0] = 0.903508f;	val_dir[10311*3 + 1] = 0.135526f;	val_dir[10311*3 + 2] = -0.406579f;
 	val_dir[10312*3 + 0] = 0.920014f;	val_dir[10312*3 + 1] = 0.157075f;	val_dir[10312*3 + 2] = -0.359030f;
 	val_dir[10313*3 + 0] = 0.933564f;	val_dir[10313*3 + 1] = 0.177822f;	val_dir[10313*3 + 2] = -0.311188f;
 	val_dir[10314*3 + 0] = 0.94420f;	val_dir[10314*3 + 1] = 0.197623f;	val_dir[10314*3 + 2] = -0.263498f;
 	val_dir[10315*3 + 0] = 0.952033f;	val_dir[10315*3 + 1] = 0.216371f;	val_dir[10315*3 + 2] = -0.216371f;
 	val_dir[10316*3 + 0] = 0.957230f;	val_dir[10316*3 + 1] = 0.233990f;	val_dir[10316*3 + 2] = -0.170174f;
 	val_dir[10317*3 + 0] = 0.960001f;	val_dir[10317*3 + 1] = 0.250435f;	val_dir[10317*3 + 2] = -0.125218f;
 	val_dir[10318*3 + 0] = 0.960585f;	val_dir[10318*3 + 1] = 0.265694f;	val_dir[10318*3 + 2] = -0.081752f;
 	val_dir[10319*3 + 0] = 0.959233f;	val_dir[10319*3 + 1] = 0.279776f;	val_dir[10319*3 + 2] = -0.039968f;
 	val_dir[10320*3 + 0] = 0.95620f;	val_dir[10320*3 + 1] = 0.292714f;	val_dir[10320*3 + 2] = 0.0f;
 	val_dir[10321*3 + 0] = -0.298216f;	val_dir[10321*3 + 1] = -0.954291f;	val_dir[10321*3 + 2] = -0.019881f;
 	val_dir[10322*3 + 0] = -0.284944f;	val_dir[10322*3 + 1] = -0.956597f;	val_dir[10322*3 + 2] = -0.061059f;
 	val_dir[10323*3 + 0] = -0.270481f;	val_dir[10323*3 + 1] = -0.957088f;	val_dir[10323*3 + 2] = -0.104031f;
 	val_dir[10324*3 + 0] = -0.254801f;	val_dir[10324*3 + 1] = -0.955502f;	val_dir[10324*3 + 2] = -0.148634f;
 	val_dir[10325*3 + 0] = -0.237897f;	val_dir[10325*3 + 1] = -0.951588f;	val_dir[10325*3 + 2] = -0.194643f;
 	val_dir[10326*3 + 0] = -0.219793f;	val_dir[10326*3 + 1] = -0.945112f;	val_dir[10326*3 + 2] = -0.241773f;
 	val_dir[10327*3 + 0] = -0.200545f;	val_dir[10327*3 + 1] = -0.935879f;	val_dir[10327*3 + 2] = -0.289677f;
 	val_dir[10328*3 + 0] = -0.180242f;	val_dir[10328*3 + 1] = -0.923742f;	val_dir[10328*3 + 2] = -0.337954f;
 	val_dir[10329*3 + 0] = -0.159009f;	val_dir[10329*3 + 1] = -0.908622f;	val_dir[10329*3 + 2] = -0.386164f;
 	val_dir[10330*3 + 0] = -0.137002f;	val_dir[10330*3 + 1] = -0.890513f;	val_dir[10330*3 + 2] = -0.433840f;
 	val_dir[10331*3 + 0] = -0.114407f;	val_dir[10331*3 + 1] = -0.869495f;	val_dir[10331*3 + 2] = -0.480510f;
 	val_dir[10332*3 + 0] = -0.091430f;	val_dir[10332*3 + 1] = -0.845728f;	val_dir[10332*3 + 2] = -0.525723f;
 	val_dir[10333*3 + 0] = -0.068288f;	val_dir[10333*3 + 1] = -0.819453f;	val_dir[10333*3 + 2] = -0.569064f;
 	val_dir[10334*3 + 0] = -0.045198f;	val_dir[10334*3 + 1] = -0.790973f;	val_dir[10334*3 + 2] = -0.610179f;
 	val_dir[10335*3 + 0] = -0.022372f;	val_dir[10335*3 + 1] = -0.760644f;	val_dir[10335*3 + 2] = -0.648784f;
 	val_dir[10336*3 + 0] = 0.0f;	val_dir[10336*3 + 1] = -0.728848f;	val_dir[10336*3 + 2] = -0.684675f;
 	val_dir[10337*3 + 0] = 0.022439f;	val_dir[10337*3 + 1] = -0.718059f;	val_dir[10337*3 + 2] = -0.695620f;
 	val_dir[10338*3 + 0] = 0.045572f;	val_dir[10338*3 + 1] = -0.706372f;	val_dir[10338*3 + 2] = -0.706372f;
 	val_dir[10339*3 + 0] = 0.069375f;	val_dir[10339*3 + 1] = -0.693746f;	val_dir[10339*3 + 2] = -0.716871f;
 	val_dir[10340*3 + 0] = 0.093813f;	val_dir[10340*3 + 1] = -0.680144f;	val_dir[10340*3 + 2] = -0.727051f;
 	val_dir[10341*3 + 0] = 0.118846f;	val_dir[10341*3 + 1] = -0.665536f;	val_dir[10341*3 + 2] = -0.736843f;
 	val_dir[10342*3 + 0] = 0.144421f;	val_dir[10342*3 + 1] = -0.649895f;	val_dir[10342*3 + 2] = -0.746176f;
 	val_dir[10343*3 + 0] = 0.170478f;	val_dir[10343*3 + 1] = -0.633205f;	val_dir[10343*3 + 2] = -0.754976f;
 	val_dir[10344*3 + 0] = 0.196946f;	val_dir[10344*3 + 1] = -0.615457f;	val_dir[10344*3 + 2] = -0.763167f;
 	val_dir[10345*3 + 0] = 0.223745f;	val_dir[10345*3 + 1] = -0.596653f;	val_dir[10345*3 + 2] = -0.770677f;
 	val_dir[10346*3 + 0] = 0.250785f;	val_dir[10346*3 + 1] = -0.576805f;	val_dir[10346*3 + 2] = -0.777433f;
 	val_dir[10347*3 + 0] = 0.277969f;	val_dir[10347*3 + 1] = -0.555939f;	val_dir[10347*3 + 2] = -0.783368f;
 	val_dir[10348*3 + 0] = 0.305194f;	val_dir[10348*3 + 1] = -0.534090f;	val_dir[10348*3 + 2] = -0.788419f;
 	val_dir[10349*3 + 0] = 0.332352f;	val_dir[10349*3 + 1] = -0.511310f;	val_dir[10349*3 + 2] = -0.792530f;
 	val_dir[10350*3 + 0] = 0.359329f;	val_dir[10350*3 + 1] = -0.487661f;	val_dir[10350*3 + 2] = -0.795657f;
 	val_dir[10351*3 + 0] = 0.386014f;	val_dir[10351*3 + 1] = -0.463217f;	val_dir[10351*3 + 2] = -0.797762f;
 	val_dir[10352*3 + 0] = 0.412294f;	val_dir[10352*3 + 1] = -0.438063f;	val_dir[10352*3 + 2] = -0.798820f;
 	val_dir[10353*3 + 0] = 0.438063f;	val_dir[10353*3 + 1] = -0.412294f;	val_dir[10353*3 + 2] = -0.798820f;
 	val_dir[10354*3 + 0] = 0.463217f;	val_dir[10354*3 + 1] = -0.386014f;	val_dir[10354*3 + 2] = -0.797762f;
 	val_dir[10355*3 + 0] = 0.487661f;	val_dir[10355*3 + 1] = -0.359329f;	val_dir[10355*3 + 2] = -0.795657f;
 	val_dir[10356*3 + 0] = 0.511310f;	val_dir[10356*3 + 1] = -0.332352f;	val_dir[10356*3 + 2] = -0.792530f;
 	val_dir[10357*3 + 0] = 0.534090f;	val_dir[10357*3 + 1] = -0.305194f;	val_dir[10357*3 + 2] = -0.788419f;
 	val_dir[10358*3 + 0] = 0.555939f;	val_dir[10358*3 + 1] = -0.277969f;	val_dir[10358*3 + 2] = -0.783368f;
 	val_dir[10359*3 + 0] = 0.576805f;	val_dir[10359*3 + 1] = -0.250785f;	val_dir[10359*3 + 2] = -0.777433f;
 	val_dir[10360*3 + 0] = 0.596653f;	val_dir[10360*3 + 1] = -0.223745f;	val_dir[10360*3 + 2] = -0.770677f;
 	val_dir[10361*3 + 0] = 0.615457f;	val_dir[10361*3 + 1] = -0.196946f;	val_dir[10361*3 + 2] = -0.763167f;
 	val_dir[10362*3 + 0] = 0.633205f;	val_dir[10362*3 + 1] = -0.170478f;	val_dir[10362*3 + 2] = -0.754976f;
 	val_dir[10363*3 + 0] = 0.649895f;	val_dir[10363*3 + 1] = -0.144421f;	val_dir[10363*3 + 2] = -0.746176f;
 	val_dir[10364*3 + 0] = 0.665536f;	val_dir[10364*3 + 1] = -0.118846f;	val_dir[10364*3 + 2] = -0.736843f;
 	val_dir[10365*3 + 0] = 0.680144f;	val_dir[10365*3 + 1] = -0.093813f;	val_dir[10365*3 + 2] = -0.727051f;
 	val_dir[10366*3 + 0] = 0.693746f;	val_dir[10366*3 + 1] = -0.069375f;	val_dir[10366*3 + 2] = -0.716871f;
 	val_dir[10367*3 + 0] = 0.706372f;	val_dir[10367*3 + 1] = -0.045572f;	val_dir[10367*3 + 2] = -0.706372f;
 	val_dir[10368*3 + 0] = 0.718059f;	val_dir[10368*3 + 1] = -0.022439f;	val_dir[10368*3 + 2] = -0.695620f;
 	val_dir[10369*3 + 0] = 0.728848f;	val_dir[10369*3 + 1] = 0.0f;	val_dir[10369*3 + 2] = -0.684675f;
 	val_dir[10370*3 + 0] = 0.760644f;	val_dir[10370*3 + 1] = 0.022372f;	val_dir[10370*3 + 2] = -0.648784f;
 	val_dir[10371*3 + 0] = 0.790973f;	val_dir[10371*3 + 1] = 0.045198f;	val_dir[10371*3 + 2] = -0.610179f;
 	val_dir[10372*3 + 0] = 0.819453f;	val_dir[10372*3 + 1] = 0.068288f;	val_dir[10372*3 + 2] = -0.569064f;
 	val_dir[10373*3 + 0] = 0.845728f;	val_dir[10373*3 + 1] = 0.091430f;	val_dir[10373*3 + 2] = -0.525723f;
 	val_dir[10374*3 + 0] = 0.869495f;	val_dir[10374*3 + 1] = 0.114407f;	val_dir[10374*3 + 2] = -0.480510f;
 	val_dir[10375*3 + 0] = 0.890513f;	val_dir[10375*3 + 1] = 0.137002f;	val_dir[10375*3 + 2] = -0.433840f;
 	val_dir[10376*3 + 0] = 0.908622f;	val_dir[10376*3 + 1] = 0.159009f;	val_dir[10376*3 + 2] = -0.386164f;
 	val_dir[10377*3 + 0] = 0.923742f;	val_dir[10377*3 + 1] = 0.180242f;	val_dir[10377*3 + 2] = -0.337954f;
 	val_dir[10378*3 + 0] = 0.935879f;	val_dir[10378*3 + 1] = 0.200545f;	val_dir[10378*3 + 2] = -0.289677f;
 	val_dir[10379*3 + 0] = 0.945112f;	val_dir[10379*3 + 1] = 0.219793f;	val_dir[10379*3 + 2] = -0.241773f;
 	val_dir[10380*3 + 0] = 0.951588f;	val_dir[10380*3 + 1] = 0.237897f;	val_dir[10380*3 + 2] = -0.194643f;
 	val_dir[10381*3 + 0] = 0.955502f;	val_dir[10381*3 + 1] = 0.254801f;	val_dir[10381*3 + 2] = -0.148634f;
 	val_dir[10382*3 + 0] = 0.957088f;	val_dir[10382*3 + 1] = 0.270481f;	val_dir[10382*3 + 2] = -0.104031f;
 	val_dir[10383*3 + 0] = 0.956597f;	val_dir[10383*3 + 1] = 0.284944f;	val_dir[10383*3 + 2] = -0.061059f;
 	val_dir[10384*3 + 0] = 0.954291f;	val_dir[10384*3 + 1] = 0.298216f;	val_dir[10384*3 + 2] = -0.019881f;
 	val_dir[10385*3 + 0] = -0.316228f;	val_dir[10385*3 + 1] = -0.948683f;	val_dir[10385*3 + 2] = 0.0f;
 	val_dir[10386*3 + 0] = -0.303791f;	val_dir[10386*3 + 1] = -0.951877f;	val_dir[10386*3 + 2] = -0.040505f;
 	val_dir[10387*3 + 0] = -0.290159f;	val_dir[10387*3 + 1] = -0.953381f;	val_dir[10387*3 + 2] = -0.082903f;
 	val_dir[10388*3 + 0] = -0.275290f;	val_dir[10388*3 + 1] = -0.952928f;	val_dir[10388*3 + 2] = -0.127057f;
 	val_dir[10389*3 + 0] = -0.259161f;	val_dir[10389*3 + 1] = -0.950255f;	val_dir[10389*3 + 2] = -0.172774f;
 	val_dir[10390*3 + 0] = -0.241773f;	val_dir[10390*3 + 1] = -0.945112f;	val_dir[10390*3 + 2] = -0.219793f;
 	val_dir[10391*3 + 0] = -0.223161f;	val_dir[10391*3 + 1] = -0.937276f;	val_dir[10391*3 + 2] = -0.267793f;
 	val_dir[10392*3 + 0] = -0.203393f;	val_dir[10392*3 + 1] = -0.926568f;	val_dir[10392*3 + 2] = -0.316389f;
 	val_dir[10393*3 + 0] = -0.182574f;	val_dir[10393*3 + 1] = -0.912871f;	val_dir[10393*3 + 2] = -0.365148f;
 	val_dir[10394*3 + 0] = -0.160845f;	val_dir[10394*3 + 1] = -0.896137f;	val_dir[10394*3 + 2] = -0.413602f;
 	val_dir[10395*3 + 0] = -0.138380f;	val_dir[10395*3 + 1] = -0.876405f;	val_dir[10395*3 + 2] = -0.461266f;
 	val_dir[10396*3 + 0] = -0.115378f;	val_dir[10396*3 + 1] = -0.853796f;	val_dir[10396*3 + 2] = -0.507662f;
 	val_dir[10397*3 + 0] = -0.092057f;	val_dir[10397*3 + 1] = -0.828517f;	val_dir[10397*3 + 2] = -0.552345f;
 	val_dir[10398*3 + 0] = -0.068644f;	val_dir[10398*3 + 1] = -0.800850f;	val_dir[10398*3 + 2] = -0.594917f;
 	val_dir[10399*3 + 0] = -0.045361f;	val_dir[10399*3 + 1] = -0.771136f;	val_dir[10399*3 + 2] = -0.635053f;
 	val_dir[10400*3 + 0] = -0.022417f;	val_dir[10400*3 + 1] = -0.739754f;	val_dir[10400*3 + 2] = -0.672504f;
 	val_dir[10401*3 + 0] = 0.0f;	val_dir[10401*3 + 1] = -0.707107f;	val_dir[10401*3 + 2] = -0.707107f;
 	val_dir[10402*3 + 0] = 0.022439f;	val_dir[10402*3 + 1] = -0.695620f;	val_dir[10402*3 + 2] = -0.718059f;
 	val_dir[10403*3 + 0] = 0.045549f;	val_dir[10403*3 + 1] = -0.683231f;	val_dir[10403*3 + 2] = -0.728780f;
 	val_dir[10404*3 + 0] = 0.069301f;	val_dir[10404*3 + 1] = -0.669905f;	val_dir[10404*3 + 2] = -0.739205f;
 	val_dir[10405*3 + 0] = 0.093659f;	val_dir[10405*3 + 1] = -0.655610f;	val_dir[10405*3 + 2] = -0.749269f;
 	val_dir[10406*3 + 0] = 0.118578f;	val_dir[10406*3 + 1] = -0.640321f;	val_dir[10406*3 + 2] = -0.758899f;
 	val_dir[10407*3 + 0] = 0.144005f;	val_dir[10407*3 + 1] = -0.624020f;	val_dir[10407*3 + 2] = -0.768025f;
 	val_dir[10408*3 + 0] = 0.169875f;	val_dir[10408*3 + 1] = -0.606696f;	val_dir[10408*3 + 2] = -0.776571f;
 	val_dir[10409*3 + 0] = 0.196116f;	val_dir[10409*3 + 1] = -0.588348f;	val_dir[10409*3 + 2] = -0.784465f;
 	val_dir[10410*3 + 0] = 0.222647f;	val_dir[10410*3 + 1] = -0.568986f;	val_dir[10410*3 + 2] = -0.791633f;
 	val_dir[10411*3 + 0] = 0.249377f;	val_dir[10411*3 + 1] = -0.548630f;	val_dir[10411*3 + 2] = -0.798007f;
 	val_dir[10412*3 + 0] = 0.276211f;	val_dir[10412*3 + 1] = -0.527312f;	val_dir[10412*3 + 2] = -0.803523f;
 	val_dir[10413*3 + 0] = 0.303046f;	val_dir[10413*3 + 1] = -0.505076f;	val_dir[10413*3 + 2] = -0.808122f;
 	val_dir[10414*3 + 0] = 0.329775f;	val_dir[10414*3 + 1] = -0.481979f;	val_dir[10414*3 + 2] = -0.811754f;
 	val_dir[10415*3 + 0] = 0.356291f;	val_dir[10415*3 + 1] = -0.458088f;	val_dir[10415*3 + 2] = -0.814379f;
 	val_dir[10416*3 + 0] = 0.382484f;	val_dir[10416*3 + 1] = -0.433482f;	val_dir[10416*3 + 2] = -0.815966f;
 	val_dir[10417*3 + 0] = 0.408248f;	val_dir[10417*3 + 1] = -0.408248f;	val_dir[10417*3 + 2] = -0.816497f;
 	val_dir[10418*3 + 0] = 0.433482f;	val_dir[10418*3 + 1] = -0.382484f;	val_dir[10418*3 + 2] = -0.815966f;
 	val_dir[10419*3 + 0] = 0.458088f;	val_dir[10419*3 + 1] = -0.356291f;	val_dir[10419*3 + 2] = -0.814379f;
 	val_dir[10420*3 + 0] = 0.481979f;	val_dir[10420*3 + 1] = -0.329775f;	val_dir[10420*3 + 2] = -0.811754f;
 	val_dir[10421*3 + 0] = 0.505076f;	val_dir[10421*3 + 1] = -0.303046f;	val_dir[10421*3 + 2] = -0.808122f;
 	val_dir[10422*3 + 0] = 0.527312f;	val_dir[10422*3 + 1] = -0.276211f;	val_dir[10422*3 + 2] = -0.803523f;
 	val_dir[10423*3 + 0] = 0.548630f;	val_dir[10423*3 + 1] = -0.249377f;	val_dir[10423*3 + 2] = -0.798007f;
 	val_dir[10424*3 + 0] = 0.568986f;	val_dir[10424*3 + 1] = -0.222647f;	val_dir[10424*3 + 2] = -0.791633f;
 	val_dir[10425*3 + 0] = 0.588348f;	val_dir[10425*3 + 1] = -0.196116f;	val_dir[10425*3 + 2] = -0.784465f;
 	val_dir[10426*3 + 0] = 0.606696f;	val_dir[10426*3 + 1] = -0.169875f;	val_dir[10426*3 + 2] = -0.776571f;
 	val_dir[10427*3 + 0] = 0.624020f;	val_dir[10427*3 + 1] = -0.144005f;	val_dir[10427*3 + 2] = -0.768025f;
 	val_dir[10428*3 + 0] = 0.640321f;	val_dir[10428*3 + 1] = -0.118578f;	val_dir[10428*3 + 2] = -0.758899f;
 	val_dir[10429*3 + 0] = 0.655610f;	val_dir[10429*3 + 1] = -0.093659f;	val_dir[10429*3 + 2] = -0.749269f;
 	val_dir[10430*3 + 0] = 0.669905f;	val_dir[10430*3 + 1] = -0.069301f;	val_dir[10430*3 + 2] = -0.739205f;
 	val_dir[10431*3 + 0] = 0.683231f;	val_dir[10431*3 + 1] = -0.045549f;	val_dir[10431*3 + 2] = -0.728780f;
 	val_dir[10432*3 + 0] = 0.695620f;	val_dir[10432*3 + 1] = -0.022439f;	val_dir[10432*3 + 2] = -0.718059f;
 	val_dir[10433*3 + 0] = 0.707107f;	val_dir[10433*3 + 1] = 0.0f;	val_dir[10433*3 + 2] = -0.707107f;
 	val_dir[10434*3 + 0] = 0.739754f;	val_dir[10434*3 + 1] = 0.022417f;	val_dir[10434*3 + 2] = -0.672504f;
 	val_dir[10435*3 + 0] = 0.771136f;	val_dir[10435*3 + 1] = 0.045361f;	val_dir[10435*3 + 2] = -0.635053f;
 	val_dir[10436*3 + 0] = 0.800850f;	val_dir[10436*3 + 1] = 0.068644f;	val_dir[10436*3 + 2] = -0.594917f;
 	val_dir[10437*3 + 0] = 0.828517f;	val_dir[10437*3 + 1] = 0.092057f;	val_dir[10437*3 + 2] = -0.552345f;
 	val_dir[10438*3 + 0] = 0.853796f;	val_dir[10438*3 + 1] = 0.115378f;	val_dir[10438*3 + 2] = -0.507662f;
 	val_dir[10439*3 + 0] = 0.876405f;	val_dir[10439*3 + 1] = 0.138380f;	val_dir[10439*3 + 2] = -0.461266f;
 	val_dir[10440*3 + 0] = 0.896137f;	val_dir[10440*3 + 1] = 0.160845f;	val_dir[10440*3 + 2] = -0.413602f;
 	val_dir[10441*3 + 0] = 0.912871f;	val_dir[10441*3 + 1] = 0.182574f;	val_dir[10441*3 + 2] = -0.365148f;
 	val_dir[10442*3 + 0] = 0.926568f;	val_dir[10442*3 + 1] = 0.203393f;	val_dir[10442*3 + 2] = -0.316389f;
 	val_dir[10443*3 + 0] = 0.937276f;	val_dir[10443*3 + 1] = 0.223161f;	val_dir[10443*3 + 2] = -0.267793f;
 	val_dir[10444*3 + 0] = 0.945112f;	val_dir[10444*3 + 1] = 0.241773f;	val_dir[10444*3 + 2] = -0.219793f;
 	val_dir[10445*3 + 0] = 0.950255f;	val_dir[10445*3 + 1] = 0.259161f;	val_dir[10445*3 + 2] = -0.172774f;
 	val_dir[10446*3 + 0] = 0.952928f;	val_dir[10446*3 + 1] = 0.275290f;	val_dir[10446*3 + 2] = -0.127057f;
 	val_dir[10447*3 + 0] = 0.953381f;	val_dir[10447*3 + 1] = 0.290159f;	val_dir[10447*3 + 2] = -0.082903f;
 	val_dir[10448*3 + 0] = 0.951877f;	val_dir[10448*3 + 1] = 0.303791f;	val_dir[10448*3 + 2] = -0.040505f;
 	val_dir[10449*3 + 0] = 0.948683f;	val_dir[10449*3 + 1] = 0.316228f;	val_dir[10449*3 + 2] = 0.0f;
 	val_dir[10450*3 + 0] = -0.322198f;	val_dir[10450*3 + 1] = -0.946458f;	val_dir[10450*3 + 2] = -0.020137f;
 	val_dir[10451*3 + 0] = -0.309426f;	val_dir[10451*3 + 1] = -0.948908f;	val_dir[10451*3 + 2] = -0.061885f;
 	val_dir[10452*3 + 0] = -0.295409f;	val_dir[10452*3 + 1] = -0.949528f;	val_dir[10452*3 + 2] = -0.105503f;
 	val_dir[10453*3 + 0] = -0.280105f;	val_dir[10453*3 + 1] = -0.948047f;	val_dir[10453*3 + 2] = -0.150826f;
 	val_dir[10454*3 + 0] = -0.263498f;	val_dir[10454*3 + 1] = -0.94420f;	val_dir[10454*3 + 2] = -0.197623f;
 	val_dir[10455*3 + 0] = -0.245599f;	val_dir[10455*3 + 1] = -0.937743f;	val_dir[10455*3 + 2] = -0.245599f;
 	val_dir[10456*3 + 0] = -0.226455f;	val_dir[10456*3 + 1] = -0.928467f;	val_dir[10456*3 + 2] = -0.294392f;
 	val_dir[10457*3 + 0] = -0.206149f;	val_dir[10457*3 + 1] = -0.916217f;	val_dir[10457*3 + 2] = -0.343582f;
 	val_dir[10458*3 + 0] = -0.184801f;	val_dir[10458*3 + 1] = -0.900907f;	val_dir[10458*3 + 2] = -0.392703f;
 	val_dir[10459*3 + 0] = -0.162571f;	val_dir[10459*3 + 1] = -0.882528f;	val_dir[10459*3 + 2] = -0.441264f;
 	val_dir[10460*3 + 0] = -0.139648f;	val_dir[10460*3 + 1] = -0.861164f;	val_dir[10460*3 + 2] = -0.488769f;
 	val_dir[10461*3 + 0] = -0.116248f;	val_dir[10461*3 + 1] = -0.836983f;	val_dir[10461*3 + 2] = -0.534739f;
 	val_dir[10462*3 + 0] = -0.092599f;	val_dir[10462*3 + 1] = -0.810237f;	val_dir[10462*3 + 2] = -0.578741f;
 	val_dir[10463*3 + 0] = -0.068934f;	val_dir[10463*3 + 1] = -0.781248f;	val_dir[10463*3 + 2] = -0.620403f;
 	val_dir[10464*3 + 0] = -0.045478f;	val_dir[10464*3 + 1] = -0.750388f;	val_dir[10464*3 + 2] = -0.659432f;
 	val_dir[10465*3 + 0] = -0.022439f;	val_dir[10465*3 + 1] = -0.718059f;	val_dir[10465*3 + 2] = -0.695620f;
 	val_dir[10466*3 + 0] = 0.0f;	val_dir[10466*3 + 1] = -0.684675f;	val_dir[10466*3 + 2] = -0.728848f;
 	val_dir[10467*3 + 0] = 0.022417f;	val_dir[10467*3 + 1] = -0.672504f;	val_dir[10467*3 + 2] = -0.739754f;
 	val_dir[10468*3 + 0] = 0.045478f;	val_dir[10468*3 + 1] = -0.659432f;	val_dir[10468*3 + 2] = -0.750388f;
 	val_dir[10469*3 + 0] = 0.069153f;	val_dir[10469*3 + 1] = -0.645429f;	val_dir[10469*3 + 2] = -0.760684f;
 	val_dir[10470*3 + 0] = 0.093403f;	val_dir[10470*3 + 1] = -0.630470f;	val_dir[10470*3 + 2] = -0.770574f;
 	val_dir[10471*3 + 0] = 0.118180f;	val_dir[10471*3 + 1] = -0.614535f;	val_dir[10471*3 + 2] = -0.779987f;
 	val_dir[10472*3 + 0] = 0.143427f;	val_dir[10472*3 + 1] = -0.597614f;	val_dir[10472*3 + 2] = -0.788851f;
 	val_dir[10473*3 + 0] = 0.169080f;	val_dir[10473*3 + 1] = -0.579703f;	val_dir[10473*3 + 2] = -0.797092f;
 	val_dir[10474*3 + 0] = 0.195064f;	val_dir[10474*3 + 1] = -0.560809f;	val_dir[10474*3 + 2] = -0.804639f;
 	val_dir[10475*3 + 0] = 0.221297f;	val_dir[10475*3 + 1] = -0.540947f;	val_dir[10475*3 + 2] = -0.811421f;
 	val_dir[10476*3 + 0] = 0.247689f;	val_dir[10476*3 + 1] = -0.520146f;	val_dir[10476*3 + 2] = -0.817373f;
 	val_dir[10477*3 + 0] = 0.274145f;	val_dir[10477*3 + 1] = -0.498445f;	val_dir[10477*3 + 2] = -0.822434f;
 	val_dir[10478*3 + 0] = 0.300564f;	val_dir[10478*3 + 1] = -0.475893f;	val_dir[10478*3 + 2] = -0.826551f;
 	val_dir[10479*3 + 0] = 0.326844f;	val_dir[10479*3 + 1] = -0.452553f;	val_dir[10479*3 + 2] = -0.829680f;
 	val_dir[10480*3 + 0] = 0.352879f;	val_dir[10480*3 + 1] = -0.428496f;	val_dir[10480*3 + 2] = -0.831786f;
 	val_dir[10481*3 + 0] = 0.378566f;	val_dir[10481*3 + 1] = -0.403804f;	val_dir[10481*3 + 2] = -0.832845f;
 	val_dir[10482*3 + 0] = 0.403804f;	val_dir[10482*3 + 1] = -0.378566f;	val_dir[10482*3 + 2] = -0.832845f;
 	val_dir[10483*3 + 0] = 0.428496f;	val_dir[10483*3 + 1] = -0.352879f;	val_dir[10483*3 + 2] = -0.831786f;
 	val_dir[10484*3 + 0] = 0.452553f;	val_dir[10484*3 + 1] = -0.326844f;	val_dir[10484*3 + 2] = -0.829680f;
 	val_dir[10485*3 + 0] = 0.475893f;	val_dir[10485*3 + 1] = -0.300564f;	val_dir[10485*3 + 2] = -0.826551f;
 	val_dir[10486*3 + 0] = 0.498445f;	val_dir[10486*3 + 1] = -0.274145f;	val_dir[10486*3 + 2] = -0.822434f;
 	val_dir[10487*3 + 0] = 0.520146f;	val_dir[10487*3 + 1] = -0.247689f;	val_dir[10487*3 + 2] = -0.817373f;
 	val_dir[10488*3 + 0] = 0.540947f;	val_dir[10488*3 + 1] = -0.221297f;	val_dir[10488*3 + 2] = -0.811421f;
 	val_dir[10489*3 + 0] = 0.560809f;	val_dir[10489*3 + 1] = -0.195064f;	val_dir[10489*3 + 2] = -0.804639f;
 	val_dir[10490*3 + 0] = 0.579703f;	val_dir[10490*3 + 1] = -0.169080f;	val_dir[10490*3 + 2] = -0.797092f;
 	val_dir[10491*3 + 0] = 0.597614f;	val_dir[10491*3 + 1] = -0.143427f;	val_dir[10491*3 + 2] = -0.788851f;
 	val_dir[10492*3 + 0] = 0.614535f;	val_dir[10492*3 + 1] = -0.118180f;	val_dir[10492*3 + 2] = -0.779987f;
 	val_dir[10493*3 + 0] = 0.630470f;	val_dir[10493*3 + 1] = -0.093403f;	val_dir[10493*3 + 2] = -0.770574f;
 	val_dir[10494*3 + 0] = 0.645429f;	val_dir[10494*3 + 1] = -0.069153f;	val_dir[10494*3 + 2] = -0.760684f;
 	val_dir[10495*3 + 0] = 0.659432f;	val_dir[10495*3 + 1] = -0.045478f;	val_dir[10495*3 + 2] = -0.750388f;
 	val_dir[10496*3 + 0] = 0.672504f;	val_dir[10496*3 + 1] = -0.022417f;	val_dir[10496*3 + 2] = -0.739754f;
 	val_dir[10497*3 + 0] = 0.684675f;	val_dir[10497*3 + 1] = 0.0f;	val_dir[10497*3 + 2] = -0.728848f;
 	val_dir[10498*3 + 0] = 0.718059f;	val_dir[10498*3 + 1] = 0.022439f;	val_dir[10498*3 + 2] = -0.695620f;
 	val_dir[10499*3 + 0] = 0.750388f;	val_dir[10499*3 + 1] = 0.045478f;	val_dir[10499*3 + 2] = -0.659432f;
 	val_dir[10500*3 + 0] = 0.781248f;	val_dir[10500*3 + 1] = 0.068934f;	val_dir[10500*3 + 2] = -0.620403f;
 	val_dir[10501*3 + 0] = 0.810237f;	val_dir[10501*3 + 1] = 0.092599f;	val_dir[10501*3 + 2] = -0.578741f;
 	val_dir[10502*3 + 0] = 0.836983f;	val_dir[10502*3 + 1] = 0.116248f;	val_dir[10502*3 + 2] = -0.534739f;
 	val_dir[10503*3 + 0] = 0.861164f;	val_dir[10503*3 + 1] = 0.139648f;	val_dir[10503*3 + 2] = -0.488769f;
 	val_dir[10504*3 + 0] = 0.882528f;	val_dir[10504*3 + 1] = 0.162571f;	val_dir[10504*3 + 2] = -0.441264f;
 	val_dir[10505*3 + 0] = 0.900907f;	val_dir[10505*3 + 1] = 0.184801f;	val_dir[10505*3 + 2] = -0.392703f;
 	val_dir[10506*3 + 0] = 0.916217f;	val_dir[10506*3 + 1] = 0.206149f;	val_dir[10506*3 + 2] = -0.343582f;
 	val_dir[10507*3 + 0] = 0.928467f;	val_dir[10507*3 + 1] = 0.226455f;	val_dir[10507*3 + 2] = -0.294392f;
 	val_dir[10508*3 + 0] = 0.937743f;	val_dir[10508*3 + 1] = 0.245599f;	val_dir[10508*3 + 2] = -0.245599f;
 	val_dir[10509*3 + 0] = 0.94420f;	val_dir[10509*3 + 1] = 0.263498f;	val_dir[10509*3 + 2] = -0.197623f;
 	val_dir[10510*3 + 0] = 0.948047f;	val_dir[10510*3 + 1] = 0.280105f;	val_dir[10510*3 + 2] = -0.150826f;
 	val_dir[10511*3 + 0] = 0.949528f;	val_dir[10511*3 + 1] = 0.295409f;	val_dir[10511*3 + 2] = -0.105503f;
 	val_dir[10512*3 + 0] = 0.948908f;	val_dir[10512*3 + 1] = 0.309426f;	val_dir[10512*3 + 2] = -0.061885f;
 	val_dir[10513*3 + 0] = 0.946458f;	val_dir[10513*3 + 1] = 0.322198f;	val_dir[10513*3 + 2] = -0.020137f;
 	val_dir[10514*3 + 0] = -0.340136f;	val_dir[10514*3 + 1] = -0.940376f;	val_dir[10514*3 + 2] = 0.0f;
 	val_dir[10515*3 + 0] = -0.328244f;	val_dir[10515*3 + 1] = -0.943701f;	val_dir[10515*3 + 2] = -0.041030f;
 	val_dir[10516*3 + 0] = -0.315109f;	val_dir[10516*3 + 1] = -0.945328f;	val_dir[10516*3 + 2] = -0.084029f;
 	val_dir[10517*3 + 0] = -0.300676f;	val_dir[10517*3 + 1] = -0.944981f;	val_dir[10517*3 + 2] = -0.128861f;
 	val_dir[10518*3 + 0] = -0.284907f;	val_dir[10518*3 + 1] = -0.942384f;	val_dir[10518*3 + 2] = -0.175327f;
 	val_dir[10519*3 + 0] = -0.267793f;	val_dir[10519*3 + 1] = -0.937276f;	val_dir[10519*3 + 2] = -0.223161f;
 	val_dir[10520*3 + 0] = -0.249357f;	val_dir[10520*3 + 1] = -0.929421f;	val_dir[10520*3 + 2] = -0.272026f;
 	val_dir[10521*3 + 0] = -0.229658f;	val_dir[10521*3 + 1] = -0.918630f;	val_dir[10521*3 + 2] = -0.321521f;
 	val_dir[10522*3 + 0] = -0.208795f;	val_dir[10522*3 + 1] = -0.904777f;	val_dir[10522*3 + 2] = -0.371191f;
 	val_dir[10523*3 + 0] = -0.186908f;	val_dir[10523*3 + 1] = -0.887812f;	val_dir[10523*3 + 2] = -0.420542f;
 	val_dir[10524*3 + 0] = -0.164173f;	val_dir[10524*3 + 1] = -0.867770f;	val_dir[10524*3 + 2] = -0.469065f;
 	val_dir[10525*3 + 0] = -0.140797f;	val_dir[10525*3 + 1] = -0.844782f;	val_dir[10525*3 + 2] = -0.516256f;
 	val_dir[10526*3 + 0] = -0.117009f;	val_dir[10526*3 + 1] = -0.819064f;	val_dir[10526*3 + 2] = -0.561644f;
 	val_dir[10527*3 + 0] = -0.093048f;	val_dir[10527*3 + 1] = -0.790912f;	val_dir[10527*3 + 2] = -0.604815f;
 	val_dir[10528*3 + 0] = -0.069153f;	val_dir[10528*3 + 1] = -0.760684f;	val_dir[10528*3 + 2] = -0.645429f;
 	val_dir[10529*3 + 0] = -0.045549f;	val_dir[10529*3 + 1] = -0.728780f;	val_dir[10529*3 + 2] = -0.683231f;
 	val_dir[10530*3 + 0] = -0.022439f;	val_dir[10530*3 + 1] = -0.695620f;	val_dir[10530*3 + 2] = -0.718059f;
 	val_dir[10531*3 + 0] = 0.0f;	val_dir[10531*3 + 1] = -0.661622f;	val_dir[10531*3 + 2] = -0.749838f;
 	val_dir[10532*3 + 0] = 0.022372f;	val_dir[10532*3 + 1] = -0.648784f;	val_dir[10532*3 + 2] = -0.760644f;
 	val_dir[10533*3 + 0] = 0.045361f;	val_dir[10533*3 + 1] = -0.635053f;	val_dir[10533*3 + 2] = -0.771136f;
 	val_dir[10534*3 + 0] = 0.068934f;	val_dir[10534*3 + 1] = -0.620403f;	val_dir[10534*3 + 2] = -0.781248f;
 	val_dir[10535*3 + 0] = 0.093048f;	val_dir[10535*3 + 1] = -0.604815f;	val_dir[10535*3 + 2] = -0.790912f;
 	val_dir[10536*3 + 0] = 0.117655f;	val_dir[10536*3 + 1] = -0.588276f;	val_dir[10536*3 + 2] = -0.800055f;
 	val_dir[10537*3 + 0] = 0.142695f;	val_dir[10537*3 + 1] = -0.570782f;	val_dir[10537*3 + 2] = -0.808608f;
 	val_dir[10538*3 + 0] = 0.168102f;	val_dir[10538*3 + 1] = -0.552336f;	val_dir[10538*3 + 2] = -0.816497f;
 	val_dir[10539*3 + 0] = 0.193801f;	val_dir[10539*3 + 1] = -0.532952f;	val_dir[10539*3 + 2] = -0.823653f;
 	val_dir[10540*3 + 0] = 0.219708f;	val_dir[10540*3 + 1] = -0.512653f;	val_dir[10540*3 + 2] = -0.830009f;
 	val_dir[10541*3 + 0] = 0.245737f;	val_dir[10541*3 + 1] = -0.491473f;	val_dir[10541*3 + 2] = -0.835504f;
 	val_dir[10542*3 + 0] = 0.271791f;	val_dir[10542*3 + 1] = -0.469458f;	val_dir[10542*3 + 2] = -0.840083f;
 	val_dir[10543*3 + 0] = 0.297775f;	val_dir[10543*3 + 1] = -0.446662f;	val_dir[10543*3 + 2] = -0.843696f;
 	val_dir[10544*3 + 0] = 0.323587f;	val_dir[10544*3 + 1] = -0.423153f;	val_dir[10544*3 + 2] = -0.846305f;
 	val_dir[10545*3 + 0] = 0.349128f;	val_dir[10545*3 + 1] = -0.399004f;	val_dir[10545*3 + 2] = -0.847883f;
 	val_dir[10546*3 + 0] = 0.374299f;	val_dir[10546*3 + 1] = -0.374299f;	val_dir[10546*3 + 2] = -0.848411f;
 	val_dir[10547*3 + 0] = 0.399004f;	val_dir[10547*3 + 1] = -0.349128f;	val_dir[10547*3 + 2] = -0.847883f;
 	val_dir[10548*3 + 0] = 0.423153f;	val_dir[10548*3 + 1] = -0.323587f;	val_dir[10548*3 + 2] = -0.846305f;
 	val_dir[10549*3 + 0] = 0.446662f;	val_dir[10549*3 + 1] = -0.297775f;	val_dir[10549*3 + 2] = -0.843696f;
 	val_dir[10550*3 + 0] = 0.469458f;	val_dir[10550*3 + 1] = -0.271791f;	val_dir[10550*3 + 2] = -0.840083f;
 	val_dir[10551*3 + 0] = 0.491473f;	val_dir[10551*3 + 1] = -0.245737f;	val_dir[10551*3 + 2] = -0.835504f;
 	val_dir[10552*3 + 0] = 0.512653f;	val_dir[10552*3 + 1] = -0.219708f;	val_dir[10552*3 + 2] = -0.830009f;
 	val_dir[10553*3 + 0] = 0.532952f;	val_dir[10553*3 + 1] = -0.193801f;	val_dir[10553*3 + 2] = -0.823653f;
 	val_dir[10554*3 + 0] = 0.552336f;	val_dir[10554*3 + 1] = -0.168102f;	val_dir[10554*3 + 2] = -0.816497f;
 	val_dir[10555*3 + 0] = 0.570782f;	val_dir[10555*3 + 1] = -0.142695f;	val_dir[10555*3 + 2] = -0.808608f;
 	val_dir[10556*3 + 0] = 0.588276f;	val_dir[10556*3 + 1] = -0.117655f;	val_dir[10556*3 + 2] = -0.800055f;
 	val_dir[10557*3 + 0] = 0.604815f;	val_dir[10557*3 + 1] = -0.093048f;	val_dir[10557*3 + 2] = -0.790912f;
 	val_dir[10558*3 + 0] = 0.620403f;	val_dir[10558*3 + 1] = -0.068934f;	val_dir[10558*3 + 2] = -0.781248f;
 	val_dir[10559*3 + 0] = 0.635053f;	val_dir[10559*3 + 1] = -0.045361f;	val_dir[10559*3 + 2] = -0.771136f;
 	val_dir[10560*3 + 0] = 0.648784f;	val_dir[10560*3 + 1] = -0.022372f;	val_dir[10560*3 + 2] = -0.760644f;
 	val_dir[10561*3 + 0] = 0.661622f;	val_dir[10561*3 + 1] = 0.0f;	val_dir[10561*3 + 2] = -0.749838f;
 	val_dir[10562*3 + 0] = 0.695620f;	val_dir[10562*3 + 1] = 0.022439f;	val_dir[10562*3 + 2] = -0.718059f;
 	val_dir[10563*3 + 0] = 0.728780f;	val_dir[10563*3 + 1] = 0.045549f;	val_dir[10563*3 + 2] = -0.683231f;
 	val_dir[10564*3 + 0] = 0.760684f;	val_dir[10564*3 + 1] = 0.069153f;	val_dir[10564*3 + 2] = -0.645429f;
 	val_dir[10565*3 + 0] = 0.790912f;	val_dir[10565*3 + 1] = 0.093048f;	val_dir[10565*3 + 2] = -0.604815f;
 	val_dir[10566*3 + 0] = 0.819064f;	val_dir[10566*3 + 1] = 0.117009f;	val_dir[10566*3 + 2] = -0.561644f;
 	val_dir[10567*3 + 0] = 0.844782f;	val_dir[10567*3 + 1] = 0.140797f;	val_dir[10567*3 + 2] = -0.516256f;
 	val_dir[10568*3 + 0] = 0.867770f;	val_dir[10568*3 + 1] = 0.164173f;	val_dir[10568*3 + 2] = -0.469065f;
 	val_dir[10569*3 + 0] = 0.887812f;	val_dir[10569*3 + 1] = 0.186908f;	val_dir[10569*3 + 2] = -0.420542f;
 	val_dir[10570*3 + 0] = 0.904777f;	val_dir[10570*3 + 1] = 0.208795f;	val_dir[10570*3 + 2] = -0.371191f;
 	val_dir[10571*3 + 0] = 0.918630f;	val_dir[10571*3 + 1] = 0.229658f;	val_dir[10571*3 + 2] = -0.321521f;
 	val_dir[10572*3 + 0] = 0.929421f;	val_dir[10572*3 + 1] = 0.249357f;	val_dir[10572*3 + 2] = -0.272026f;
 	val_dir[10573*3 + 0] = 0.937276f;	val_dir[10573*3 + 1] = 0.267793f;	val_dir[10573*3 + 2] = -0.223161f;
 	val_dir[10574*3 + 0] = 0.942384f;	val_dir[10574*3 + 1] = 0.284907f;	val_dir[10574*3 + 2] = -0.175327f;
 	val_dir[10575*3 + 0] = 0.944981f;	val_dir[10575*3 + 1] = 0.300676f;	val_dir[10575*3 + 2] = -0.128861f;
 	val_dir[10576*3 + 0] = 0.945328f;	val_dir[10576*3 + 1] = 0.315109f;	val_dir[10576*3 + 2] = -0.084029f;
 	val_dir[10577*3 + 0] = 0.943701f;	val_dir[10577*3 + 1] = 0.328244f;	val_dir[10577*3 + 2] = -0.041030f;
 	val_dir[10578*3 + 0] = 0.940376f;	val_dir[10578*3 + 1] = 0.340136f;	val_dir[10578*3 + 2] = 0.0f;
 	val_dir[10579*3 + 0] = -0.346578f;	val_dir[10579*3 + 1] = -0.93780f;	val_dir[10579*3 + 2] = -0.020387f;
 	val_dir[10580*3 + 0] = -0.334351f;	val_dir[10580*3 + 1] = -0.940361f;	val_dir[10580*3 + 2] = -0.062691f;
 	val_dir[10581*3 + 0] = -0.320824f;	val_dir[10581*3 + 1] = -0.941082f;	val_dir[10581*3 + 2] = -0.106941f;
 	val_dir[10582*3 + 0] = -0.305942f;	val_dir[10582*3 + 1] = -0.939680f;	val_dir[10582*3 + 2] = -0.152971f;
 	val_dir[10583*3 + 0] = -0.289677f;	val_dir[10583*3 + 1] = -0.935879f;	val_dir[10583*3 + 2] = -0.200545f;
 	val_dir[10584*3 + 0] = -0.272026f;	val_dir[10584*3 + 1] = -0.929421f;	val_dir[10584*3 + 2] = -0.249357f;
 	val_dir[10585*3 + 0] = -0.253024f;	val_dir[10585*3 + 1] = -0.920087f;	val_dir[10585*3 + 2] = -0.299028f;
 	val_dir[10586*3 + 0] = -0.232747f;	val_dir[10586*3 + 1] = -0.907713f;	val_dir[10586*3 + 2] = -0.349121f;
 	val_dir[10587*3 + 0] = -0.211312f;	val_dir[10587*3 + 1] = -0.892206f;	val_dir[10587*3 + 2] = -0.399145f;
 	val_dir[10588*3 + 0] = -0.188877f;	val_dir[10588*3 + 1] = -0.873555f;	val_dir[10588*3 + 2] = -0.448583f;
 	val_dir[10589*3 + 0] = -0.165637f;	val_dir[10589*3 + 1] = -0.851847f;	val_dir[10589*3 + 2] = -0.496911f;
 	val_dir[10590*3 + 0] = -0.141816f;	val_dir[10590*3 + 1] = -0.827259f;	val_dir[10590*3 + 2] = -0.543627f;
 	val_dir[10591*3 + 0] = -0.117655f;	val_dir[10591*3 + 1] = -0.800055f;	val_dir[10591*3 + 2] = -0.588276f;
 	val_dir[10592*3 + 0] = -0.093403f;	val_dir[10592*3 + 1] = -0.770574f;	val_dir[10592*3 + 2] = -0.630470f;
 	val_dir[10593*3 + 0] = -0.069301f;	val_dir[10593*3 + 1] = -0.739205f;	val_dir[10593*3 + 2] = -0.669905f;
 	val_dir[10594*3 + 0] = -0.045572f;	val_dir[10594*3 + 1] = -0.706372f;	val_dir[10594*3 + 2] = -0.706372f;
 	val_dir[10595*3 + 0] = -0.022417f;	val_dir[10595*3 + 1] = -0.672504f;	val_dir[10595*3 + 2] = -0.739754f;
 	val_dir[10596*3 + 0] = 0.0f;	val_dir[10596*3 + 1] = -0.638018f;	val_dir[10596*3 + 2] = -0.770022f;
 	val_dir[10597*3 + 0] = 0.022305f;	val_dir[10597*3 + 1] = -0.624540f;	val_dir[10597*3 + 2] = -0.780675f;
 	val_dir[10598*3 + 0] = 0.045198f;	val_dir[10598*3 + 1] = -0.610179f;	val_dir[10598*3 + 2] = -0.790973f;
 	val_dir[10599*3 + 0] = 0.068644f;	val_dir[10599*3 + 1] = -0.594917f;	val_dir[10599*3 + 2] = -0.800850f;
 	val_dir[10600*3 + 0] = 0.092599f;	val_dir[10600*3 + 1] = -0.578741f;	val_dir[10600*3 + 2] = -0.810237f;
 	val_dir[10601*3 + 0] = 0.117009f;	val_dir[10601*3 + 1] = -0.561644f;	val_dir[10601*3 + 2] = -0.819064f;
 	val_dir[10602*3 + 0] = 0.141816f;	val_dir[10602*3 + 1] = -0.543627f;	val_dir[10602*3 + 2] = -0.827259f;
 	val_dir[10603*3 + 0] = 0.166951f;	val_dir[10603*3 + 1] = -0.524703f;	val_dir[10603*3 + 2] = -0.834754f;
 	val_dir[10604*3 + 0] = 0.192339f;	val_dir[10604*3 + 1] = -0.504889f;	val_dir[10604*3 + 2] = -0.841482f;
 	val_dir[10605*3 + 0] = 0.217898f;	val_dir[10605*3 + 1] = -0.484217f;	val_dir[10605*3 + 2] = -0.847381f;
 	val_dir[10606*3 + 0] = 0.243541f;	val_dir[10606*3 + 1] = -0.462727f;	val_dir[10606*3 + 2] = -0.852392f;
 	val_dir[10607*3 + 0] = 0.269175f;	val_dir[10607*3 + 1] = -0.440468f;	val_dir[10607*3 + 2] = -0.856465f;
 	val_dir[10608*3 + 0] = 0.294706f;	val_dir[10608*3 + 1] = -0.41750f;	val_dir[10608*3 + 2] = -0.859559f;
 	val_dir[10609*3 + 0] = 0.320038f;	val_dir[10609*3 + 1] = -0.393893f;	val_dir[10609*3 + 2] = -0.861640f;
 	val_dir[10610*3 + 0] = 0.345075f;	val_dir[10610*3 + 1] = -0.369723f;	val_dir[10610*3 + 2] = -0.862687f;
 	val_dir[10611*3 + 0] = 0.369723f;	val_dir[10611*3 + 1] = -0.345075f;	val_dir[10611*3 + 2] = -0.862687f;
 	val_dir[10612*3 + 0] = 0.393893f;	val_dir[10612*3 + 1] = -0.320038f;	val_dir[10612*3 + 2] = -0.861640f;
 	val_dir[10613*3 + 0] = 0.41750f;	val_dir[10613*3 + 1] = -0.294706f;	val_dir[10613*3 + 2] = -0.859559f;
 	val_dir[10614*3 + 0] = 0.440468f;	val_dir[10614*3 + 1] = -0.269175f;	val_dir[10614*3 + 2] = -0.856465f;
 	val_dir[10615*3 + 0] = 0.462727f;	val_dir[10615*3 + 1] = -0.243541f;	val_dir[10615*3 + 2] = -0.852392f;
 	val_dir[10616*3 + 0] = 0.484217f;	val_dir[10616*3 + 1] = -0.217898f;	val_dir[10616*3 + 2] = -0.847381f;
 	val_dir[10617*3 + 0] = 0.504889f;	val_dir[10617*3 + 1] = -0.192339f;	val_dir[10617*3 + 2] = -0.841482f;
 	val_dir[10618*3 + 0] = 0.524703f;	val_dir[10618*3 + 1] = -0.166951f;	val_dir[10618*3 + 2] = -0.834754f;
 	val_dir[10619*3 + 0] = 0.543627f;	val_dir[10619*3 + 1] = -0.141816f;	val_dir[10619*3 + 2] = -0.827259f;
 	val_dir[10620*3 + 0] = 0.561644f;	val_dir[10620*3 + 1] = -0.117009f;	val_dir[10620*3 + 2] = -0.819064f;
 	val_dir[10621*3 + 0] = 0.578741f;	val_dir[10621*3 + 1] = -0.092599f;	val_dir[10621*3 + 2] = -0.810237f;
 	val_dir[10622*3 + 0] = 0.594917f;	val_dir[10622*3 + 1] = -0.068644f;	val_dir[10622*3 + 2] = -0.800850f;
 	val_dir[10623*3 + 0] = 0.610179f;	val_dir[10623*3 + 1] = -0.045198f;	val_dir[10623*3 + 2] = -0.790973f;
 	val_dir[10624*3 + 0] = 0.624540f;	val_dir[10624*3 + 1] = -0.022305f;	val_dir[10624*3 + 2] = -0.780675f;
 	val_dir[10625*3 + 0] = 0.638018f;	val_dir[10625*3 + 1] = 0.0f;	val_dir[10625*3 + 2] = -0.770022f;
 	val_dir[10626*3 + 0] = 0.672504f;	val_dir[10626*3 + 1] = 0.022417f;	val_dir[10626*3 + 2] = -0.739754f;
 	val_dir[10627*3 + 0] = 0.706372f;	val_dir[10627*3 + 1] = 0.045572f;	val_dir[10627*3 + 2] = -0.706372f;
 	val_dir[10628*3 + 0] = 0.739205f;	val_dir[10628*3 + 1] = 0.069301f;	val_dir[10628*3 + 2] = -0.669905f;
 	val_dir[10629*3 + 0] = 0.770574f;	val_dir[10629*3 + 1] = 0.093403f;	val_dir[10629*3 + 2] = -0.630470f;
 	val_dir[10630*3 + 0] = 0.800055f;	val_dir[10630*3 + 1] = 0.117655f;	val_dir[10630*3 + 2] = -0.588276f;
 	val_dir[10631*3 + 0] = 0.827259f;	val_dir[10631*3 + 1] = 0.141816f;	val_dir[10631*3 + 2] = -0.543627f;
 	val_dir[10632*3 + 0] = 0.851847f;	val_dir[10632*3 + 1] = 0.165637f;	val_dir[10632*3 + 2] = -0.496911f;
 	val_dir[10633*3 + 0] = 0.873555f;	val_dir[10633*3 + 1] = 0.188877f;	val_dir[10633*3 + 2] = -0.448583f;
 	val_dir[10634*3 + 0] = 0.892206f;	val_dir[10634*3 + 1] = 0.211312f;	val_dir[10634*3 + 2] = -0.399145f;
 	val_dir[10635*3 + 0] = 0.907713f;	val_dir[10635*3 + 1] = 0.232747f;	val_dir[10635*3 + 2] = -0.349121f;
 	val_dir[10636*3 + 0] = 0.920087f;	val_dir[10636*3 + 1] = 0.253024f;	val_dir[10636*3 + 2] = -0.299028f;
 	val_dir[10637*3 + 0] = 0.929421f;	val_dir[10637*3 + 1] = 0.272026f;	val_dir[10637*3 + 2] = -0.249357f;
 	val_dir[10638*3 + 0] = 0.935879f;	val_dir[10638*3 + 1] = 0.289677f;	val_dir[10638*3 + 2] = -0.200545f;
 	val_dir[10639*3 + 0] = 0.939680f;	val_dir[10639*3 + 1] = 0.305942f;	val_dir[10639*3 + 2] = -0.152971f;
 	val_dir[10640*3 + 0] = 0.941082f;	val_dir[10640*3 + 1] = 0.320824f;	val_dir[10640*3 + 2] = -0.106941f;
 	val_dir[10641*3 + 0] = 0.940361f;	val_dir[10641*3 + 1] = 0.334351f;	val_dir[10641*3 + 2] = -0.062691f;
 	val_dir[10642*3 + 0] = 0.93780f;	val_dir[10642*3 + 1] = 0.346578f;	val_dir[10642*3 + 2] = -0.020387f;
 	val_dir[10643*3 + 0] = -0.364399f;	val_dir[10643*3 + 1] = -0.931243f;	val_dir[10643*3 + 2] = 0.0f;
 	val_dir[10644*3 + 0] = -0.353096f;	val_dir[10644*3 + 1] = -0.934665f;	val_dir[10644*3 + 2] = -0.041541f;
 	val_dir[10645*3 + 0] = -0.340503f;	val_dir[10645*3 + 1] = -0.936382f;	val_dir[10645*3 + 2] = -0.085126f;
 	val_dir[10646*3 + 0] = -0.326550f;	val_dir[10646*3 + 1] = -0.936111f;	val_dir[10646*3 + 2] = -0.130620f;
 	val_dir[10647*3 + 0] = -0.311188f;	val_dir[10647*3 + 1] = -0.933564f;	val_dir[10647*3 + 2] = -0.177822f;
 	val_dir[10648*3 + 0] = -0.294392f;	val_dir[10648*3 + 1] = -0.928467f;	val_dir[10648*3 + 2] = -0.226455f;
 	val_dir[10649*3 + 0] = -0.276172f;	val_dir[10649*3 + 1] = -0.920575f;	val_dir[10649*3 + 2] = -0.276172f;
 	val_dir[10650*3 + 0] = -0.256578f;	val_dir[10650*3 + 1] = -0.909687f;	val_dir[10650*3 + 2] = -0.326554f;
 	val_dir[10651*3 + 0] = -0.235702f;	val_dir[10651*3 + 1] = -0.895669f;	val_dir[10651*3 + 2] = -0.377124f;
 	val_dir[10652*3 + 0] = -0.213681f;	val_dir[10652*3 + 1] = -0.878466f;	val_dir[10652*3 + 2] = -0.427362f;
 	val_dir[10653*3 + 0] = -0.190693f;	val_dir[10653*3 + 1] = -0.858116f;	val_dir[10653*3 + 2] = -0.476731f;
 	val_dir[10654*3 + 0] = -0.166951f;	val_dir[10654*3 + 1] = -0.834754f;	val_dir[10654*3 + 2] = -0.524703f;
 	val_dir[10655*3 + 0] = -0.142695f;	val_dir[10655*3 + 1] = -0.808608f;	val_dir[10655*3 + 2] = -0.570782f;
 	val_dir[10656*3 + 0] = -0.118180f;	val_dir[10656*3 + 1] = -0.779987f;	val_dir[10656*3 + 2] = -0.614535f;
 	val_dir[10657*3 + 0] = -0.093659f;	val_dir[10657*3 + 1] = -0.749269f;	val_dir[10657*3 + 2] = -0.655610f;
 	val_dir[10658*3 + 0] = -0.069375f;	val_dir[10658*3 + 1] = -0.716871f;	val_dir[10658*3 + 2] = -0.693746f;
 	val_dir[10659*3 + 0] = -0.045549f;	val_dir[10659*3 + 1] = -0.683231f;	val_dir[10659*3 + 2] = -0.728780f;
 	val_dir[10660*3 + 0] = -0.022372f;	val_dir[10660*3 + 1] = -0.648784f;	val_dir[10660*3 + 2] = -0.760644f;
 	val_dir[10661*3 + 0] = 0.0f;	val_dir[10661*3 + 1] = -0.613941f;	val_dir[10661*3 + 2] = -0.789352f;
 	val_dir[10662*3 + 0] = 0.022217f;	val_dir[10662*3 + 1] = -0.599852f;	val_dir[10662*3 + 2] = -0.799803f;
 	val_dir[10663*3 + 0] = 0.044992f;	val_dir[10663*3 + 1] = -0.584898f;	val_dir[10663*3 + 2] = -0.809858f;
 	val_dir[10664*3 + 0] = 0.068288f;	val_dir[10664*3 + 1] = -0.569064f;	val_dir[10664*3 + 2] = -0.819453f;
 	val_dir[10665*3 + 0] = 0.092057f;	val_dir[10665*3 + 1] = -0.552345f;	val_dir[10665*3 + 2] = -0.828517f;
 	val_dir[10666*3 + 0] = 0.116248f;	val_dir[10666*3 + 1] = -0.534739f;	val_dir[10666*3 + 2] = -0.836983f;
 	val_dir[10667*3 + 0] = 0.140797f;	val_dir[10667*3 + 1] = -0.516256f;	val_dir[10667*3 + 2] = -0.844782f;
 	val_dir[10668*3 + 0] = 0.165637f;	val_dir[10668*3 + 1] = -0.496911f;	val_dir[10668*3 + 2] = -0.851847f;
 	val_dir[10669*3 + 0] = 0.190693f;	val_dir[10669*3 + 1] = -0.476731f;	val_dir[10669*3 + 2] = -0.858116f;
 	val_dir[10670*3 + 0] = 0.215883f;	val_dir[10670*3 + 1] = -0.455752f;	val_dir[10670*3 + 2] = -0.863530f;
 	val_dir[10671*3 + 0] = 0.241121f;	val_dir[10671*3 + 1] = -0.434019f;	val_dir[10671*3 + 2] = -0.868037f;
 	val_dir[10672*3 + 0] = 0.266320f;	val_dir[10672*3 + 1] = -0.411585f;	val_dir[10672*3 + 2] = -0.871592f;
 	val_dir[10673*3 + 0] = 0.291386f;	val_dir[10673*3 + 1] = -0.388514f;	val_dir[10673*3 + 2] = -0.874157f;
 	val_dir[10674*3 + 0] = 0.316228f;	val_dir[10674*3 + 1] = -0.364878f;	val_dir[10674*3 + 2] = -0.875708f;
 	val_dir[10675*3 + 0] = 0.340755f;	val_dir[10675*3 + 1] = -0.340755f;	val_dir[10675*3 + 2] = -0.876226f;
 	val_dir[10676*3 + 0] = 0.364878f;	val_dir[10676*3 + 1] = -0.316228f;	val_dir[10676*3 + 2] = -0.875708f;
 	val_dir[10677*3 + 0] = 0.388514f;	val_dir[10677*3 + 1] = -0.291386f;	val_dir[10677*3 + 2] = -0.874157f;
 	val_dir[10678*3 + 0] = 0.411585f;	val_dir[10678*3 + 1] = -0.266320f;	val_dir[10678*3 + 2] = -0.871592f;
 	val_dir[10679*3 + 0] = 0.434019f;	val_dir[10679*3 + 1] = -0.241121f;	val_dir[10679*3 + 2] = -0.868037f;
 	val_dir[10680*3 + 0] = 0.455752f;	val_dir[10680*3 + 1] = -0.215883f;	val_dir[10680*3 + 2] = -0.863530f;
 	val_dir[10681*3 + 0] = 0.476731f;	val_dir[10681*3 + 1] = -0.190693f;	val_dir[10681*3 + 2] = -0.858116f;
 	val_dir[10682*3 + 0] = 0.496911f;	val_dir[10682*3 + 1] = -0.165637f;	val_dir[10682*3 + 2] = -0.851847f;
 	val_dir[10683*3 + 0] = 0.516256f;	val_dir[10683*3 + 1] = -0.140797f;	val_dir[10683*3 + 2] = -0.844782f;
 	val_dir[10684*3 + 0] = 0.534739f;	val_dir[10684*3 + 1] = -0.116248f;	val_dir[10684*3 + 2] = -0.836983f;
 	val_dir[10685*3 + 0] = 0.552345f;	val_dir[10685*3 + 1] = -0.092057f;	val_dir[10685*3 + 2] = -0.828517f;
 	val_dir[10686*3 + 0] = 0.569064f;	val_dir[10686*3 + 1] = -0.068288f;	val_dir[10686*3 + 2] = -0.819453f;
 	val_dir[10687*3 + 0] = 0.584898f;	val_dir[10687*3 + 1] = -0.044992f;	val_dir[10687*3 + 2] = -0.809858f;
 	val_dir[10688*3 + 0] = 0.599852f;	val_dir[10688*3 + 1] = -0.022217f;	val_dir[10688*3 + 2] = -0.799803f;
 	val_dir[10689*3 + 0] = 0.613941f;	val_dir[10689*3 + 1] = 0.0f;	val_dir[10689*3 + 2] = -0.789352f;
 	val_dir[10690*3 + 0] = 0.648784f;	val_dir[10690*3 + 1] = 0.022372f;	val_dir[10690*3 + 2] = -0.760644f;
 	val_dir[10691*3 + 0] = 0.683231f;	val_dir[10691*3 + 1] = 0.045549f;	val_dir[10691*3 + 2] = -0.728780f;
 	val_dir[10692*3 + 0] = 0.716871f;	val_dir[10692*3 + 1] = 0.069375f;	val_dir[10692*3 + 2] = -0.693746f;
 	val_dir[10693*3 + 0] = 0.749269f;	val_dir[10693*3 + 1] = 0.093659f;	val_dir[10693*3 + 2] = -0.655610f;
 	val_dir[10694*3 + 0] = 0.779987f;	val_dir[10694*3 + 1] = 0.118180f;	val_dir[10694*3 + 2] = -0.614535f;
 	val_dir[10695*3 + 0] = 0.808608f;	val_dir[10695*3 + 1] = 0.142695f;	val_dir[10695*3 + 2] = -0.570782f;
 	val_dir[10696*3 + 0] = 0.834754f;	val_dir[10696*3 + 1] = 0.166951f;	val_dir[10696*3 + 2] = -0.524703f;
 	val_dir[10697*3 + 0] = 0.858116f;	val_dir[10697*3 + 1] = 0.190693f;	val_dir[10697*3 + 2] = -0.476731f;
 	val_dir[10698*3 + 0] = 0.878466f;	val_dir[10698*3 + 1] = 0.213681f;	val_dir[10698*3 + 2] = -0.427362f;
 	val_dir[10699*3 + 0] = 0.895669f;	val_dir[10699*3 + 1] = 0.235702f;	val_dir[10699*3 + 2] = -0.377124f;
 	val_dir[10700*3 + 0] = 0.909687f;	val_dir[10700*3 + 1] = 0.256578f;	val_dir[10700*3 + 2] = -0.326554f;
 	val_dir[10701*3 + 0] = 0.920575f;	val_dir[10701*3 + 1] = 0.276172f;	val_dir[10701*3 + 2] = -0.276172f;
 	val_dir[10702*3 + 0] = 0.928467f;	val_dir[10702*3 + 1] = 0.294392f;	val_dir[10702*3 + 2] = -0.226455f;
 	val_dir[10703*3 + 0] = 0.933564f;	val_dir[10703*3 + 1] = 0.311188f;	val_dir[10703*3 + 2] = -0.177822f;
 	val_dir[10704*3 + 0] = 0.936111f;	val_dir[10704*3 + 1] = 0.326550f;	val_dir[10704*3 + 2] = -0.130620f;
 	val_dir[10705*3 + 0] = 0.936382f;	val_dir[10705*3 + 1] = 0.340503f;	val_dir[10705*3 + 2] = -0.085126f;
 	val_dir[10706*3 + 0] = 0.934665f;	val_dir[10706*3 + 1] = 0.353096f;	val_dir[10706*3 + 2] = -0.041541f;
 	val_dir[10707*3 + 0] = 0.931243f;	val_dir[10707*3 + 1] = 0.364399f;	val_dir[10707*3 + 2] = 0.0f;
 	val_dir[10708*3 + 0] = -0.371312f;	val_dir[10708*3 + 1] = -0.928279f;	val_dir[10708*3 + 2] = -0.020628f;
 	val_dir[10709*3 + 0] = -0.359673f;	val_dir[10709*3 + 1] = -0.930917f;	val_dir[10709*3 + 2] = -0.063472f;
 	val_dir[10710*3 + 0] = -0.346681f;	val_dir[10710*3 + 1] = -0.931705f;	val_dir[10710*3 + 2] = -0.108338f;
 	val_dir[10711*3 + 0] = -0.332269f;	val_dir[10711*3 + 1] = -0.930352f;	val_dir[10711*3 + 2] = -0.155059f;
 	val_dir[10712*3 + 0] = -0.316389f;	val_dir[10712*3 + 1] = -0.926568f;	val_dir[10712*3 + 2] = -0.203393f;
 	val_dir[10713*3 + 0] = -0.299028f;	val_dir[10713*3 + 1] = -0.920087f;	val_dir[10713*3 + 2] = -0.253024f;
 	val_dir[10714*3 + 0] = -0.280209f;	val_dir[10714*3 + 1] = -0.910678f;	val_dir[10714*3 + 2] = -0.303559f;
 	val_dir[10715*3 + 0] = -0.259996f;	val_dir[10715*3 + 1] = -0.898167f;	val_dir[10715*3 + 2] = -0.354540f;
 	val_dir[10716*3 + 0] = -0.238501f;	val_dir[10716*3 + 1] = -0.882454f;	val_dir[10716*3 + 2] = -0.405452f;
 	val_dir[10717*3 + 0] = -0.215883f;	val_dir[10717*3 + 1] = -0.863530f;	val_dir[10717*3 + 2] = -0.455752f;
 	val_dir[10718*3 + 0] = -0.192339f;	val_dir[10718*3 + 1] = -0.841482f;	val_dir[10718*3 + 2] = -0.504889f;
 	val_dir[10719*3 + 0] = -0.168102f;	val_dir[10719*3 + 1] = -0.816497f;	val_dir[10719*3 + 2] = -0.552336f;
 	val_dir[10720*3 + 0] = -0.143427f;	val_dir[10720*3 + 1] = -0.788851f;	val_dir[10720*3 + 2] = -0.597614f;
 	val_dir[10721*3 + 0] = -0.118578f;	val_dir[10721*3 + 1] = -0.758899f;	val_dir[10721*3 + 2] = -0.640321f;
 	val_dir[10722*3 + 0] = -0.093813f;	val_dir[10722*3 + 1] = -0.727051f;	val_dir[10722*3 + 2] = -0.680144f;
 	val_dir[10723*3 + 0] = -0.069375f;	val_dir[10723*3 + 1] = -0.693746f;	val_dir[10723*3 + 2] = -0.716871f;
 	val_dir[10724*3 + 0] = -0.045478f;	val_dir[10724*3 + 1] = -0.659432f;	val_dir[10724*3 + 2] = -0.750388f;
 	val_dir[10725*3 + 0] = -0.022305f;	val_dir[10725*3 + 1] = -0.624540f;	val_dir[10725*3 + 2] = -0.780675f;
 	val_dir[10726*3 + 0] = 0.0f;	val_dir[10726*3 + 1] = -0.589469f;	val_dir[10726*3 + 2] = -0.807791f;
 	val_dir[10727*3 + 0] = 0.022108f;	val_dir[10727*3 + 1] = -0.574805f;	val_dir[10727*3 + 2] = -0.817992f;
 	val_dir[10728*3 + 0] = 0.044744f;	val_dir[10728*3 + 1] = -0.559297f;	val_dir[10728*3 + 2] = -0.827759f;
 	val_dir[10729*3 + 0] = 0.067867f;	val_dir[10729*3 + 1] = -0.542936f;	val_dir[10729*3 + 2] = -0.837027f;
 	val_dir[10730*3 + 0] = 0.091430f;	val_dir[10730*3 + 1] = -0.525723f;	val_dir[10730*3 + 2] = -0.845728f;
 	val_dir[10731*3 + 0] = 0.115378f;	val_dir[10731*3 + 1] = -0.507662f;	val_dir[10731*3 + 2] = -0.853796f;
 	val_dir[10732*3 + 0] = 0.139648f;	val_dir[10732*3 + 1] = -0.488769f;	val_dir[10732*3 + 2] = -0.861164f;
 	val_dir[10733*3 + 0] = 0.164173f;	val_dir[10733*3 + 1] = -0.469065f;	val_dir[10733*3 + 2] = -0.867770f;
 	val_dir[10734*3 + 0] = 0.188877f;	val_dir[10734*3 + 1] = -0.448583f;	val_dir[10734*3 + 2] = -0.873555f;
 	val_dir[10735*3 + 0] = 0.213681f;	val_dir[10735*3 + 1] = -0.427362f;	val_dir[10735*3 + 2] = -0.878466f;
 	val_dir[10736*3 + 0] = 0.238501f;	val_dir[10736*3 + 1] = -0.405452f;	val_dir[10736*3 + 2] = -0.882454f;
 	val_dir[10737*3 + 0] = 0.263251f;	val_dir[10737*3 + 1] = -0.382911f;	val_dir[10737*3 + 2] = -0.885482f;
 	val_dir[10738*3 + 0] = 0.287843f;	val_dir[10738*3 + 1] = -0.359804f;	val_dir[10738*3 + 2] = -0.887517f;
 	val_dir[10739*3 + 0] = 0.312190f;	val_dir[10739*3 + 1] = -0.336204f;	val_dir[10739*3 + 2] = -0.888540f;
 	val_dir[10740*3 + 0] = 0.336204f;	val_dir[10740*3 + 1] = -0.312190f;	val_dir[10740*3 + 2] = -0.888540f;
 	val_dir[10741*3 + 0] = 0.359804f;	val_dir[10741*3 + 1] = -0.287843f;	val_dir[10741*3 + 2] = -0.887517f;
 	val_dir[10742*3 + 0] = 0.382911f;	val_dir[10742*3 + 1] = -0.263251f;	val_dir[10742*3 + 2] = -0.885482f;
 	val_dir[10743*3 + 0] = 0.405452f;	val_dir[10743*3 + 1] = -0.238501f;	val_dir[10743*3 + 2] = -0.882454f;
 	val_dir[10744*3 + 0] = 0.427362f;	val_dir[10744*3 + 1] = -0.213681f;	val_dir[10744*3 + 2] = -0.878466f;
 	val_dir[10745*3 + 0] = 0.448583f;	val_dir[10745*3 + 1] = -0.188877f;	val_dir[10745*3 + 2] = -0.873555f;
 	val_dir[10746*3 + 0] = 0.469065f;	val_dir[10746*3 + 1] = -0.164173f;	val_dir[10746*3 + 2] = -0.867770f;
 	val_dir[10747*3 + 0] = 0.488769f;	val_dir[10747*3 + 1] = -0.139648f;	val_dir[10747*3 + 2] = -0.861164f;
 	val_dir[10748*3 + 0] = 0.507662f;	val_dir[10748*3 + 1] = -0.115378f;	val_dir[10748*3 + 2] = -0.853796f;
 	val_dir[10749*3 + 0] = 0.525723f;	val_dir[10749*3 + 1] = -0.091430f;	val_dir[10749*3 + 2] = -0.845728f;
 	val_dir[10750*3 + 0] = 0.542936f;	val_dir[10750*3 + 1] = -0.067867f;	val_dir[10750*3 + 2] = -0.837027f;
 	val_dir[10751*3 + 0] = 0.559297f;	val_dir[10751*3 + 1] = -0.044744f;	val_dir[10751*3 + 2] = -0.827759f;
 	val_dir[10752*3 + 0] = 0.574805f;	val_dir[10752*3 + 1] = -0.022108f;	val_dir[10752*3 + 2] = -0.817992f;
 	val_dir[10753*3 + 0] = 0.589469f;	val_dir[10753*3 + 1] = 0.0f;	val_dir[10753*3 + 2] = -0.807791f;
 	val_dir[10754*3 + 0] = 0.624540f;	val_dir[10754*3 + 1] = 0.022305f;	val_dir[10754*3 + 2] = -0.780675f;
 	val_dir[10755*3 + 0] = 0.659432f;	val_dir[10755*3 + 1] = 0.045478f;	val_dir[10755*3 + 2] = -0.750388f;
 	val_dir[10756*3 + 0] = 0.693746f;	val_dir[10756*3 + 1] = 0.069375f;	val_dir[10756*3 + 2] = -0.716871f;
 	val_dir[10757*3 + 0] = 0.727051f;	val_dir[10757*3 + 1] = 0.093813f;	val_dir[10757*3 + 2] = -0.680144f;
 	val_dir[10758*3 + 0] = 0.758899f;	val_dir[10758*3 + 1] = 0.118578f;	val_dir[10758*3 + 2] = -0.640321f;
 	val_dir[10759*3 + 0] = 0.788851f;	val_dir[10759*3 + 1] = 0.143427f;	val_dir[10759*3 + 2] = -0.597614f;
 	val_dir[10760*3 + 0] = 0.816497f;	val_dir[10760*3 + 1] = 0.168102f;	val_dir[10760*3 + 2] = -0.552336f;
 	val_dir[10761*3 + 0] = 0.841482f;	val_dir[10761*3 + 1] = 0.192339f;	val_dir[10761*3 + 2] = -0.504889f;
 	val_dir[10762*3 + 0] = 0.863530f;	val_dir[10762*3 + 1] = 0.215883f;	val_dir[10762*3 + 2] = -0.455752f;
 	val_dir[10763*3 + 0] = 0.882454f;	val_dir[10763*3 + 1] = 0.238501f;	val_dir[10763*3 + 2] = -0.405452f;
 	val_dir[10764*3 + 0] = 0.898167f;	val_dir[10764*3 + 1] = 0.259996f;	val_dir[10764*3 + 2] = -0.354540f;
 	val_dir[10765*3 + 0] = 0.910678f;	val_dir[10765*3 + 1] = 0.280209f;	val_dir[10765*3 + 2] = -0.303559f;
 	val_dir[10766*3 + 0] = 0.920087f;	val_dir[10766*3 + 1] = 0.299028f;	val_dir[10766*3 + 2] = -0.253024f;
 	val_dir[10767*3 + 0] = 0.926568f;	val_dir[10767*3 + 1] = 0.316389f;	val_dir[10767*3 + 2] = -0.203393f;
 	val_dir[10768*3 + 0] = 0.930352f;	val_dir[10768*3 + 1] = 0.332269f;	val_dir[10768*3 + 2] = -0.155059f;
 	val_dir[10769*3 + 0] = 0.931705f;	val_dir[10769*3 + 1] = 0.346681f;	val_dir[10769*3 + 2] = -0.108338f;
 	val_dir[10770*3 + 0] = 0.930917f;	val_dir[10770*3 + 1] = 0.359673f;	val_dir[10770*3 + 2] = -0.063472f;
 	val_dir[10771*3 + 0] = 0.928279f;	val_dir[10771*3 + 1] = 0.371312f;	val_dir[10771*3 + 2] = -0.020628f;
 	val_dir[10772*3 + 0] = -0.388972f;	val_dir[10772*3 + 1] = -0.921250f;	val_dir[10772*3 + 2] = 0.0f;
 	val_dir[10773*3 + 0] = -0.378298f;	val_dir[10773*3 + 1] = -0.924729f;	val_dir[10773*3 + 2] = -0.042033f;
 	val_dir[10774*3 + 0] = -0.366291f;	val_dir[10774*3 + 1] = -0.92650f;	val_dir[10774*3 + 2] = -0.086186f;
 	val_dir[10775*3 + 0] = -0.352865f;	val_dir[10775*3 + 1] = -0.926270f;	val_dir[10775*3 + 2] = -0.132324f;
 	val_dir[10776*3 + 0] = -0.337954f;	val_dir[10776*3 + 1] = -0.923742f;	val_dir[10776*3 + 2] = -0.180242f;
 	val_dir[10777*3 + 0] = -0.321521f;	val_dir[10777*3 + 1] = -0.918630f;	val_dir[10777*3 + 2] = -0.229658f;
 	val_dir[10778*3 + 0] = -0.303559f;	val_dir[10778*3 + 1] = -0.910678f;	val_dir[10778*3 + 2] = -0.280209f;
 	val_dir[10779*3 + 0] = -0.284108f;	val_dir[10779*3 + 1] = -0.899676f;	val_dir[10779*3 + 2] = -0.331460f;
 	val_dir[10780*3 + 0] = -0.263251f;	val_dir[10780*3 + 1] = -0.885482f;	val_dir[10780*3 + 2] = -0.382911f;
 	val_dir[10781*3 + 0] = -0.241121f;	val_dir[10781*3 + 1] = -0.868037f;	val_dir[10781*3 + 2] = -0.434019f;
 	val_dir[10782*3 + 0] = -0.217898f;	val_dir[10782*3 + 1] = -0.847381f;	val_dir[10782*3 + 2] = -0.484217f;
 	val_dir[10783*3 + 0] = -0.193801f;	val_dir[10783*3 + 1] = -0.823653f;	val_dir[10783*3 + 2] = -0.532952f;
 	val_dir[10784*3 + 0] = -0.169080f;	val_dir[10784*3 + 1] = -0.797092f;	val_dir[10784*3 + 2] = -0.579703f;
 	val_dir[10785*3 + 0] = -0.144005f;	val_dir[10785*3 + 1] = -0.768025f;	val_dir[10785*3 + 2] = -0.624020f;
 	val_dir[10786*3 + 0] = -0.118846f;	val_dir[10786*3 + 1] = -0.736843f;	val_dir[10786*3 + 2] = -0.665536f;
 	val_dir[10787*3 + 0] = -0.093865f;	val_dir[10787*3 + 1] = -0.703985f;	val_dir[10787*3 + 2] = -0.703985f;
 	val_dir[10788*3 + 0] = -0.069301f;	val_dir[10788*3 + 1] = -0.669905f;	val_dir[10788*3 + 2] = -0.739205f;
 	val_dir[10789*3 + 0] = -0.045361f;	val_dir[10789*3 + 1] = -0.635053f;	val_dir[10789*3 + 2] = -0.771136f;
 	val_dir[10790*3 + 0] = -0.022217f;	val_dir[10790*3 + 1] = -0.599852f;	val_dir[10790*3 + 2] = -0.799803f;
 	val_dir[10791*3 + 0] = 0.0f;	val_dir[10791*3 + 1] = -0.564684f;	val_dir[10791*3 + 2] = -0.825307f;
 	val_dir[10792*3 + 0] = 0.021979f;	val_dir[10792*3 + 1] = -0.549484f;	val_dir[10792*3 + 2] = -0.835215f;
 	val_dir[10793*3 + 0] = 0.044455f;	val_dir[10793*3 + 1] = -0.533465f;	val_dir[10793*3 + 2] = -0.844653f;
 	val_dir[10794*3 + 0] = 0.067386f;	val_dir[10794*3 + 1] = -0.516626f;	val_dir[10794*3 + 2] = -0.853556f;
 	val_dir[10795*3 + 0] = 0.090722f;	val_dir[10795*3 + 1] = -0.498970f;	val_dir[10795*3 + 2] = -0.861857f;
 	val_dir[10796*3 + 0] = 0.114407f;	val_dir[10796*3 + 1] = -0.480510f;	val_dir[10796*3 + 2] = -0.869495f;
 	val_dir[10797*3 + 0] = 0.138380f;	val_dir[10797*3 + 1] = -0.461266f;	val_dir[10797*3 + 2] = -0.876405f;
 	val_dir[10798*3 + 0] = 0.162571f;	val_dir[10798*3 + 1] = -0.441264f;	val_dir[10798*3 + 2] = -0.882528f;
 	val_dir[10799*3 + 0] = 0.186908f;	val_dir[10799*3 + 1] = -0.420542f;	val_dir[10799*3 + 2] = -0.887812f;
 	val_dir[10800*3 + 0] = 0.211312f;	val_dir[10800*3 + 1] = -0.399145f;	val_dir[10800*3 + 2] = -0.892206f;
 	val_dir[10801*3 + 0] = 0.235702f;	val_dir[10801*3 + 1] = -0.377124f;	val_dir[10801*3 + 2] = -0.895669f;
 	val_dir[10802*3 + 0] = 0.259996f;	val_dir[10802*3 + 1] = -0.354540f;	val_dir[10802*3 + 2] = -0.898167f;
 	val_dir[10803*3 + 0] = 0.284108f;	val_dir[10803*3 + 1] = -0.331460f;	val_dir[10803*3 + 2] = -0.899676f;
 	val_dir[10804*3 + 0] = 0.307957f;	val_dir[10804*3 + 1] = -0.307957f;	val_dir[10804*3 + 2] = -0.900181f;
 	val_dir[10805*3 + 0] = 0.331460f;	val_dir[10805*3 + 1] = -0.284108f;	val_dir[10805*3 + 2] = -0.899676f;
 	val_dir[10806*3 + 0] = 0.354540f;	val_dir[10806*3 + 1] = -0.259996f;	val_dir[10806*3 + 2] = -0.898167f;
 	val_dir[10807*3 + 0] = 0.377124f;	val_dir[10807*3 + 1] = -0.235702f;	val_dir[10807*3 + 2] = -0.895669f;
 	val_dir[10808*3 + 0] = 0.399145f;	val_dir[10808*3 + 1] = -0.211312f;	val_dir[10808*3 + 2] = -0.892206f;
 	val_dir[10809*3 + 0] = 0.420542f;	val_dir[10809*3 + 1] = -0.186908f;	val_dir[10809*3 + 2] = -0.887812f;
 	val_dir[10810*3 + 0] = 0.441264f;	val_dir[10810*3 + 1] = -0.162571f;	val_dir[10810*3 + 2] = -0.882528f;
 	val_dir[10811*3 + 0] = 0.461266f;	val_dir[10811*3 + 1] = -0.138380f;	val_dir[10811*3 + 2] = -0.876405f;
 	val_dir[10812*3 + 0] = 0.480510f;	val_dir[10812*3 + 1] = -0.114407f;	val_dir[10812*3 + 2] = -0.869495f;
 	val_dir[10813*3 + 0] = 0.498970f;	val_dir[10813*3 + 1] = -0.090722f;	val_dir[10813*3 + 2] = -0.861857f;
 	val_dir[10814*3 + 0] = 0.516626f;	val_dir[10814*3 + 1] = -0.067386f;	val_dir[10814*3 + 2] = -0.853556f;
 	val_dir[10815*3 + 0] = 0.533465f;	val_dir[10815*3 + 1] = -0.044455f;	val_dir[10815*3 + 2] = -0.844653f;
 	val_dir[10816*3 + 0] = 0.549484f;	val_dir[10816*3 + 1] = -0.021979f;	val_dir[10816*3 + 2] = -0.835215f;
 	val_dir[10817*3 + 0] = 0.564684f;	val_dir[10817*3 + 1] = 0.0f;	val_dir[10817*3 + 2] = -0.825307f;
 	val_dir[10818*3 + 0] = 0.599852f;	val_dir[10818*3 + 1] = 0.022217f;	val_dir[10818*3 + 2] = -0.799803f;
 	val_dir[10819*3 + 0] = 0.635053f;	val_dir[10819*3 + 1] = 0.045361f;	val_dir[10819*3 + 2] = -0.771136f;
 	val_dir[10820*3 + 0] = 0.669905f;	val_dir[10820*3 + 1] = 0.069301f;	val_dir[10820*3 + 2] = -0.739205f;
 	val_dir[10821*3 + 0] = 0.703985f;	val_dir[10821*3 + 1] = 0.093865f;	val_dir[10821*3 + 2] = -0.703985f;
 	val_dir[10822*3 + 0] = 0.736843f;	val_dir[10822*3 + 1] = 0.118846f;	val_dir[10822*3 + 2] = -0.665536f;
 	val_dir[10823*3 + 0] = 0.768025f;	val_dir[10823*3 + 1] = 0.144005f;	val_dir[10823*3 + 2] = -0.624020f;
 	val_dir[10824*3 + 0] = 0.797092f;	val_dir[10824*3 + 1] = 0.169080f;	val_dir[10824*3 + 2] = -0.579703f;
 	val_dir[10825*3 + 0] = 0.823653f;	val_dir[10825*3 + 1] = 0.193801f;	val_dir[10825*3 + 2] = -0.532952f;
 	val_dir[10826*3 + 0] = 0.847381f;	val_dir[10826*3 + 1] = 0.217898f;	val_dir[10826*3 + 2] = -0.484217f;
 	val_dir[10827*3 + 0] = 0.868037f;	val_dir[10827*3 + 1] = 0.241121f;	val_dir[10827*3 + 2] = -0.434019f;
 	val_dir[10828*3 + 0] = 0.885482f;	val_dir[10828*3 + 1] = 0.263251f;	val_dir[10828*3 + 2] = -0.382911f;
 	val_dir[10829*3 + 0] = 0.899676f;	val_dir[10829*3 + 1] = 0.284108f;	val_dir[10829*3 + 2] = -0.331460f;
 	val_dir[10830*3 + 0] = 0.910678f;	val_dir[10830*3 + 1] = 0.303559f;	val_dir[10830*3 + 2] = -0.280209f;
 	val_dir[10831*3 + 0] = 0.918630f;	val_dir[10831*3 + 1] = 0.321521f;	val_dir[10831*3 + 2] = -0.229658f;
 	val_dir[10832*3 + 0] = 0.923742f;	val_dir[10832*3 + 1] = 0.337954f;	val_dir[10832*3 + 2] = -0.180242f;
 	val_dir[10833*3 + 0] = 0.926270f;	val_dir[10833*3 + 1] = 0.352865f;	val_dir[10833*3 + 2] = -0.132324f;
 	val_dir[10834*3 + 0] = 0.92650f;	val_dir[10834*3 + 1] = 0.366291f;	val_dir[10834*3 + 2] = -0.086186f;
 	val_dir[10835*3 + 0] = 0.924729f;	val_dir[10835*3 + 1] = 0.378298f;	val_dir[10835*3 + 2] = -0.042033f;
 	val_dir[10836*3 + 0] = 0.921250f;	val_dir[10836*3 + 1] = 0.388972f;	val_dir[10836*3 + 2] = 0.0f;
 	val_dir[10837*3 + 0] = -0.396350f;	val_dir[10837*3 + 1] = -0.917863f;	val_dir[10837*3 + 2] = -0.020861f;
 	val_dir[10838*3 + 0] = -0.385341f;	val_dir[10838*3 + 1] = -0.920537f;	val_dir[10838*3 + 2] = -0.064223f;
 	val_dir[10839*3 + 0] = -0.372929f;	val_dir[10839*3 + 1] = -0.921354f;	val_dir[10839*3 + 2] = -0.109685f;
 	val_dir[10840*3 + 0] = -0.359030f;	val_dir[10840*3 + 1] = -0.920014f;	val_dir[10840*3 + 2] = -0.157075f;
 	val_dir[10841*3 + 0] = -0.343582f;	val_dir[10841*3 + 1] = -0.916217f;	val_dir[10841*3 + 2] = -0.206149f;
 	val_dir[10842*3 + 0] = -0.326554f;	val_dir[10842*3 + 1] = -0.909687f;	val_dir[10842*3 + 2] = -0.256578f;
 	val_dir[10843*3 + 0] = -0.307957f;	val_dir[10843*3 + 1] = -0.900181f;	val_dir[10843*3 + 2] = -0.307957f;
 	val_dir[10844*3 + 0] = -0.287843f;	val_dir[10844*3 + 1] = -0.887517f;	val_dir[10844*3 + 2] = -0.359804f;
 	val_dir[10845*3 + 0] = -0.266320f;	val_dir[10845*3 + 1] = -0.871592f;	val_dir[10845*3 + 2] = -0.411585f;
 	val_dir[10846*3 + 0] = -0.243541f;	val_dir[10846*3 + 1] = -0.852392f;	val_dir[10846*3 + 2] = -0.462727f;
 	val_dir[10847*3 + 0] = -0.219708f;	val_dir[10847*3 + 1] = -0.830009f;	val_dir[10847*3 + 2] = -0.512653f;
 	val_dir[10848*3 + 0] = -0.195064f;	val_dir[10848*3 + 1] = -0.804639f;	val_dir[10848*3 + 2] = -0.560809f;
 	val_dir[10849*3 + 0] = -0.169875f;	val_dir[10849*3 + 1] = -0.776571f;	val_dir[10849*3 + 2] = -0.606696f;
 	val_dir[10850*3 + 0] = -0.144421f;	val_dir[10850*3 + 1] = -0.746176f;	val_dir[10850*3 + 2] = -0.649895f;
 	val_dir[10851*3 + 0] = -0.118980f;	val_dir[10851*3 + 1] = -0.713881f;	val_dir[10851*3 + 2] = -0.690085f;
 	val_dir[10852*3 + 0] = -0.093813f;	val_dir[10852*3 + 1] = -0.680144f;	val_dir[10852*3 + 2] = -0.727051f;
 	val_dir[10853*3 + 0] = -0.069153f;	val_dir[10853*3 + 1] = -0.645429f;	val_dir[10853*3 + 2] = -0.760684f;
 	val_dir[10854*3 + 0] = -0.045198f;	val_dir[10854*3 + 1] = -0.610179f;	val_dir[10854*3 + 2] = -0.790973f;
 	val_dir[10855*3 + 0] = -0.022108f;	val_dir[10855*3 + 1] = -0.574805f;	val_dir[10855*3 + 2] = -0.817992f;
 	val_dir[10856*3 + 0] = 0.0f;	val_dir[10856*3 + 1] = -0.539666f;	val_dir[10856*3 + 2] = -0.841879f;
 	val_dir[10857*3 + 0] = 0.021832f;	val_dir[10857*3 + 1] = -0.523973f;	val_dir[10857*3 + 2] = -0.851455f;
 	val_dir[10858*3 + 0] = 0.044130f;	val_dir[10858*3 + 1] = -0.507490f;	val_dir[10858*3 + 2] = -0.860527f;
 	val_dir[10859*3 + 0] = 0.066848f;	val_dir[10859*3 + 1] = -0.490222f;	val_dir[10859*3 + 2] = -0.869030f;
 	val_dir[10860*3 + 0] = 0.089939f;	val_dir[10860*3 + 1] = -0.472178f;	val_dir[10860*3 + 2] = -0.876903f;
 	val_dir[10861*3 + 0] = 0.113344f;	val_dir[10861*3 + 1] = -0.453376f;	val_dir[10861*3 + 2] = -0.884083f;
 	val_dir[10862*3 + 0] = 0.137002f;	val_dir[10862*3 + 1] = -0.433840f;	val_dir[10862*3 + 2] = -0.890513f;
 	val_dir[10863*3 + 0] = 0.160845f;	val_dir[10863*3 + 1] = -0.413602f;	val_dir[10863*3 + 2] = -0.896137f;
 	val_dir[10864*3 + 0] = 0.184801f;	val_dir[10864*3 + 1] = -0.392703f;	val_dir[10864*3 + 2] = -0.900907f;
 	val_dir[10865*3 + 0] = 0.208795f;	val_dir[10865*3 + 1] = -0.371191f;	val_dir[10865*3 + 2] = -0.904777f;
 	val_dir[10866*3 + 0] = 0.232747f;	val_dir[10866*3 + 1] = -0.349121f;	val_dir[10866*3 + 2] = -0.907713f;
 	val_dir[10867*3 + 0] = 0.256578f;	val_dir[10867*3 + 1] = -0.326554f;	val_dir[10867*3 + 2] = -0.909687f;
 	val_dir[10868*3 + 0] = 0.280209f;	val_dir[10868*3 + 1] = -0.303559f;	val_dir[10868*3 + 2] = -0.910678f;
 	val_dir[10869*3 + 0] = 0.303559f;	val_dir[10869*3 + 1] = -0.280209f;	val_dir[10869*3 + 2] = -0.910678f;
 	val_dir[10870*3 + 0] = 0.326554f;	val_dir[10870*3 + 1] = -0.256578f;	val_dir[10870*3 + 2] = -0.909687f;
 	val_dir[10871*3 + 0] = 0.349121f;	val_dir[10871*3 + 1] = -0.232747f;	val_dir[10871*3 + 2] = -0.907713f;
 	val_dir[10872*3 + 0] = 0.371191f;	val_dir[10872*3 + 1] = -0.208795f;	val_dir[10872*3 + 2] = -0.904777f;
 	val_dir[10873*3 + 0] = 0.392703f;	val_dir[10873*3 + 1] = -0.184801f;	val_dir[10873*3 + 2] = -0.900907f;
 	val_dir[10874*3 + 0] = 0.413602f;	val_dir[10874*3 + 1] = -0.160845f;	val_dir[10874*3 + 2] = -0.896137f;
 	val_dir[10875*3 + 0] = 0.433840f;	val_dir[10875*3 + 1] = -0.137002f;	val_dir[10875*3 + 2] = -0.890513f;
 	val_dir[10876*3 + 0] = 0.453376f;	val_dir[10876*3 + 1] = -0.113344f;	val_dir[10876*3 + 2] = -0.884083f;
 	val_dir[10877*3 + 0] = 0.472178f;	val_dir[10877*3 + 1] = -0.089939f;	val_dir[10877*3 + 2] = -0.876903f;
 	val_dir[10878*3 + 0] = 0.490222f;	val_dir[10878*3 + 1] = -0.066848f;	val_dir[10878*3 + 2] = -0.869030f;
 	val_dir[10879*3 + 0] = 0.507490f;	val_dir[10879*3 + 1] = -0.044130f;	val_dir[10879*3 + 2] = -0.860527f;
 	val_dir[10880*3 + 0] = 0.523973f;	val_dir[10880*3 + 1] = -0.021832f;	val_dir[10880*3 + 2] = -0.851455f;
 	val_dir[10881*3 + 0] = 0.539666f;	val_dir[10881*3 + 1] = 0.0f;	val_dir[10881*3 + 2] = -0.841879f;
 	val_dir[10882*3 + 0] = 0.574805f;	val_dir[10882*3 + 1] = 0.022108f;	val_dir[10882*3 + 2] = -0.817992f;
 	val_dir[10883*3 + 0] = 0.610179f;	val_dir[10883*3 + 1] = 0.045198f;	val_dir[10883*3 + 2] = -0.790973f;
 	val_dir[10884*3 + 0] = 0.645429f;	val_dir[10884*3 + 1] = 0.069153f;	val_dir[10884*3 + 2] = -0.760684f;
 	val_dir[10885*3 + 0] = 0.680144f;	val_dir[10885*3 + 1] = 0.093813f;	val_dir[10885*3 + 2] = -0.727051f;
 	val_dir[10886*3 + 0] = 0.713881f;	val_dir[10886*3 + 1] = 0.118980f;	val_dir[10886*3 + 2] = -0.690085f;
 	val_dir[10887*3 + 0] = 0.746176f;	val_dir[10887*3 + 1] = 0.144421f;	val_dir[10887*3 + 2] = -0.649895f;
 	val_dir[10888*3 + 0] = 0.776571f;	val_dir[10888*3 + 1] = 0.169875f;	val_dir[10888*3 + 2] = -0.606696f;
 	val_dir[10889*3 + 0] = 0.804639f;	val_dir[10889*3 + 1] = 0.195064f;	val_dir[10889*3 + 2] = -0.560809f;
 	val_dir[10890*3 + 0] = 0.830009f;	val_dir[10890*3 + 1] = 0.219708f;	val_dir[10890*3 + 2] = -0.512653f;
 	val_dir[10891*3 + 0] = 0.852392f;	val_dir[10891*3 + 1] = 0.243541f;	val_dir[10891*3 + 2] = -0.462727f;
 	val_dir[10892*3 + 0] = 0.871592f;	val_dir[10892*3 + 1] = 0.266320f;	val_dir[10892*3 + 2] = -0.411585f;
 	val_dir[10893*3 + 0] = 0.887517f;	val_dir[10893*3 + 1] = 0.287843f;	val_dir[10893*3 + 2] = -0.359804f;
 	val_dir[10894*3 + 0] = 0.900181f;	val_dir[10894*3 + 1] = 0.307957f;	val_dir[10894*3 + 2] = -0.307957f;
 	val_dir[10895*3 + 0] = 0.909687f;	val_dir[10895*3 + 1] = 0.326554f;	val_dir[10895*3 + 2] = -0.256578f;
 	val_dir[10896*3 + 0] = 0.916217f;	val_dir[10896*3 + 1] = 0.343582f;	val_dir[10896*3 + 2] = -0.206149f;
 	val_dir[10897*3 + 0] = 0.920014f;	val_dir[10897*3 + 1] = 0.359030f;	val_dir[10897*3 + 2] = -0.157075f;
 	val_dir[10898*3 + 0] = 0.921354f;	val_dir[10898*3 + 1] = 0.372929f;	val_dir[10898*3 + 2] = -0.109685f;
 	val_dir[10899*3 + 0] = 0.920537f;	val_dir[10899*3 + 1] = 0.385341f;	val_dir[10899*3 + 2] = -0.064223f;
 	val_dir[10900*3 + 0] = 0.917863f;	val_dir[10900*3 + 1] = 0.396350f;	val_dir[10900*3 + 2] = -0.020861f;
 	val_dir[10901*3 + 0] = -0.413803f;	val_dir[10901*3 + 1] = -0.910366f;	val_dir[10901*3 + 2] = 0.0f;
 	val_dir[10902*3 + 0] = -0.403799f;	val_dir[10902*3 + 1] = -0.913860f;	val_dir[10902*3 + 2] = -0.042505f;
 	val_dir[10903*3 + 0] = -0.392419f;	val_dir[10903*3 + 1] = -0.915644f;	val_dir[10903*3 + 2] = -0.087204f;
 	val_dir[10904*3 + 0] = -0.379563f;	val_dir[10904*3 + 1] = -0.915416f;	val_dir[10904*3 + 2] = -0.133963f;
 	val_dir[10905*3 + 0] = -0.365148f;	val_dir[10905*3 + 1] = -0.912871f;	val_dir[10905*3 + 2] = -0.182574f;
 	val_dir[10906*3 + 0] = -0.349121f;	val_dir[10906*3 + 1] = -0.907713f;	val_dir[10906*3 + 2] = -0.232747f;
 	val_dir[10907*3 + 0] = -0.331460f;	val_dir[10907*3 + 1] = -0.899676f;	val_dir[10907*3 + 2] = -0.284108f;
 	val_dir[10908*3 + 0] = -0.312190f;	val_dir[10908*3 + 1] = -0.888540f;	val_dir[10908*3 + 2] = -0.336204f;
 	val_dir[10909*3 + 0] = -0.291386f;	val_dir[10909*3 + 1] = -0.874157f;	val_dir[10909*3 + 2] = -0.388514f;
 	val_dir[10910*3 + 0] = -0.269175f;	val_dir[10910*3 + 1] = -0.856465f;	val_dir[10910*3 + 2] = -0.440468f;
 	val_dir[10911*3 + 0] = -0.245737f;	val_dir[10911*3 + 1] = -0.835504f;	val_dir[10911*3 + 2] = -0.491473f;
 	val_dir[10912*3 + 0] = -0.221297f;	val_dir[10912*3 + 1] = -0.811421f;	val_dir[10912*3 + 2] = -0.540947f;
 	val_dir[10913*3 + 0] = -0.196116f;	val_dir[10913*3 + 1] = -0.784465f;	val_dir[10913*3 + 2] = -0.588348f;
 	val_dir[10914*3 + 0] = -0.170478f;	val_dir[10914*3 + 1] = -0.754976f;	val_dir[10914*3 + 2] = -0.633205f;
 	val_dir[10915*3 + 0] = -0.144673f;	val_dir[10915*3 + 1] = -0.723364f;	val_dir[10915*3 + 2] = -0.675140f;
 	val_dir[10916*3 + 0] = -0.118980f;	val_dir[10916*3 + 1] = -0.690085f;	val_dir[10916*3 + 2] = -0.713881f;
 	val_dir[10917*3 + 0] = -0.093659f;	val_dir[10917*3 + 1] = -0.655610f;	val_dir[10917*3 + 2] = -0.749269f;
 	val_dir[10918*3 + 0] = -0.068934f;	val_dir[10918*3 + 1] = -0.620403f;	val_dir[10918*3 + 2] = -0.781248f;
 	val_dir[10919*3 + 0] = -0.044992f;	val_dir[10919*3 + 1] = -0.584898f;	val_dir[10919*3 + 2] = -0.809858f;
 	val_dir[10920*3 + 0] = -0.021979f;	val_dir[10920*3 + 1] = -0.549484f;	val_dir[10920*3 + 2] = -0.835215f;
 	val_dir[10921*3 + 0] = 0.0f;	val_dir[10921*3 + 1] = -0.514496f;	val_dir[10921*3 + 2] = -0.857493f;
 	val_dir[10922*3 + 0] = 0.021668f;	val_dir[10922*3 + 1] = -0.498354f;	val_dir[10922*3 + 2] = -0.866703f;
 	val_dir[10923*3 + 0] = 0.043769f;	val_dir[10923*3 + 1] = -0.481457f;	val_dir[10923*3 + 2] = -0.875376f;
 	val_dir[10924*3 + 0] = 0.066259f;	val_dir[10924*3 + 1] = -0.463812f;	val_dir[10924*3 + 2] = -0.883452f;
 	val_dir[10925*3 + 0] = 0.089087f;	val_dir[10925*3 + 1] = -0.445435f;	val_dir[10925*3 + 2] = -0.890871f;
 	val_dir[10926*3 + 0] = 0.112197f;	val_dir[10926*3 + 1] = -0.426348f;	val_dir[10926*3 + 2] = -0.897574f;
 	val_dir[10927*3 + 0] = 0.135526f;	val_dir[10927*3 + 1] = -0.406579f;	val_dir[10927*3 + 2] = -0.903508f;
 	val_dir[10928*3 + 0] = 0.159009f;	val_dir[10928*3 + 1] = -0.386164f;	val_dir[10928*3 + 2] = -0.908622f;
 	val_dir[10929*3 + 0] = 0.182574f;	val_dir[10929*3 + 1] = -0.365148f;	val_dir[10929*3 + 2] = -0.912871f;
 	val_dir[10930*3 + 0] = 0.206149f;	val_dir[10930*3 + 1] = -0.343582f;	val_dir[10930*3 + 2] = -0.916217f;
 	val_dir[10931*3 + 0] = 0.229658f;	val_dir[10931*3 + 1] = -0.321521f;	val_dir[10931*3 + 2] = -0.918630f;
 	val_dir[10932*3 + 0] = 0.253024f;	val_dir[10932*3 + 1] = -0.299028f;	val_dir[10932*3 + 2] = -0.920087f;
 	val_dir[10933*3 + 0] = 0.276172f;	val_dir[10933*3 + 1] = -0.276172f;	val_dir[10933*3 + 2] = -0.920575f;
 	val_dir[10934*3 + 0] = 0.299028f;	val_dir[10934*3 + 1] = -0.253024f;	val_dir[10934*3 + 2] = -0.920087f;
 	val_dir[10935*3 + 0] = 0.321521f;	val_dir[10935*3 + 1] = -0.229658f;	val_dir[10935*3 + 2] = -0.918630f;
 	val_dir[10936*3 + 0] = 0.343582f;	val_dir[10936*3 + 1] = -0.206149f;	val_dir[10936*3 + 2] = -0.916217f;
 	val_dir[10937*3 + 0] = 0.365148f;	val_dir[10937*3 + 1] = -0.182574f;	val_dir[10937*3 + 2] = -0.912871f;
 	val_dir[10938*3 + 0] = 0.386164f;	val_dir[10938*3 + 1] = -0.159009f;	val_dir[10938*3 + 2] = -0.908622f;
 	val_dir[10939*3 + 0] = 0.406579f;	val_dir[10939*3 + 1] = -0.135526f;	val_dir[10939*3 + 2] = -0.903508f;
 	val_dir[10940*3 + 0] = 0.426348f;	val_dir[10940*3 + 1] = -0.112197f;	val_dir[10940*3 + 2] = -0.897574f;
 	val_dir[10941*3 + 0] = 0.445435f;	val_dir[10941*3 + 1] = -0.089087f;	val_dir[10941*3 + 2] = -0.890871f;
 	val_dir[10942*3 + 0] = 0.463812f;	val_dir[10942*3 + 1] = -0.066259f;	val_dir[10942*3 + 2] = -0.883452f;
 	val_dir[10943*3 + 0] = 0.481457f;	val_dir[10943*3 + 1] = -0.043769f;	val_dir[10943*3 + 2] = -0.875376f;
 	val_dir[10944*3 + 0] = 0.498354f;	val_dir[10944*3 + 1] = -0.021668f;	val_dir[10944*3 + 2] = -0.866703f;
 	val_dir[10945*3 + 0] = 0.514496f;	val_dir[10945*3 + 1] = 0.0f;	val_dir[10945*3 + 2] = -0.857493f;
 	val_dir[10946*3 + 0] = 0.549484f;	val_dir[10946*3 + 1] = 0.021979f;	val_dir[10946*3 + 2] = -0.835215f;
 	val_dir[10947*3 + 0] = 0.584898f;	val_dir[10947*3 + 1] = 0.044992f;	val_dir[10947*3 + 2] = -0.809858f;
 	val_dir[10948*3 + 0] = 0.620403f;	val_dir[10948*3 + 1] = 0.068934f;	val_dir[10948*3 + 2] = -0.781248f;
 	val_dir[10949*3 + 0] = 0.655610f;	val_dir[10949*3 + 1] = 0.093659f;	val_dir[10949*3 + 2] = -0.749269f;
 	val_dir[10950*3 + 0] = 0.690085f;	val_dir[10950*3 + 1] = 0.118980f;	val_dir[10950*3 + 2] = -0.713881f;
 	val_dir[10951*3 + 0] = 0.723364f;	val_dir[10951*3 + 1] = 0.144673f;	val_dir[10951*3 + 2] = -0.675140f;
 	val_dir[10952*3 + 0] = 0.754976f;	val_dir[10952*3 + 1] = 0.170478f;	val_dir[10952*3 + 2] = -0.633205f;
 	val_dir[10953*3 + 0] = 0.784465f;	val_dir[10953*3 + 1] = 0.196116f;	val_dir[10953*3 + 2] = -0.588348f;
 	val_dir[10954*3 + 0] = 0.811421f;	val_dir[10954*3 + 1] = 0.221297f;	val_dir[10954*3 + 2] = -0.540947f;
 	val_dir[10955*3 + 0] = 0.835504f;	val_dir[10955*3 + 1] = 0.245737f;	val_dir[10955*3 + 2] = -0.491473f;
 	val_dir[10956*3 + 0] = 0.856465f;	val_dir[10956*3 + 1] = 0.269175f;	val_dir[10956*3 + 2] = -0.440468f;
 	val_dir[10957*3 + 0] = 0.874157f;	val_dir[10957*3 + 1] = 0.291386f;	val_dir[10957*3 + 2] = -0.388514f;
 	val_dir[10958*3 + 0] = 0.888540f;	val_dir[10958*3 + 1] = 0.312190f;	val_dir[10958*3 + 2] = -0.336204f;
 	val_dir[10959*3 + 0] = 0.899676f;	val_dir[10959*3 + 1] = 0.331460f;	val_dir[10959*3 + 2] = -0.284108f;
 	val_dir[10960*3 + 0] = 0.907713f;	val_dir[10960*3 + 1] = 0.349121f;	val_dir[10960*3 + 2] = -0.232747f;
 	val_dir[10961*3 + 0] = 0.912871f;	val_dir[10961*3 + 1] = 0.365148f;	val_dir[10961*3 + 2] = -0.182574f;
 	val_dir[10962*3 + 0] = 0.915416f;	val_dir[10962*3 + 1] = 0.379563f;	val_dir[10962*3 + 2] = -0.133963f;
 	val_dir[10963*3 + 0] = 0.915644f;	val_dir[10963*3 + 1] = 0.392419f;	val_dir[10963*3 + 2] = -0.087204f;
 	val_dir[10964*3 + 0] = 0.913860f;	val_dir[10964*3 + 1] = 0.403799f;	val_dir[10964*3 + 2] = -0.042505f;
 	val_dir[10965*3 + 0] = 0.910366f;	val_dir[10965*3 + 1] = 0.413803f;	val_dir[10965*3 + 2] = 0.0f;
 	val_dir[10966*3 + 0] = -0.421637f;	val_dir[10966*3 + 1] = -0.906520f;	val_dir[10966*3 + 2] = -0.021082f;
 	val_dir[10967*3 + 0] = -0.411298f;	val_dir[10967*3 + 1] = -0.909185f;	val_dir[10967*3 + 2] = -0.064942f;
 	val_dir[10968*3 + 0] = -0.399507f;	val_dir[10968*3 + 1] = -0.909988f;	val_dir[10968*3 + 2] = -0.110974f;
 	val_dir[10969*3 + 0] = -0.386164f;	val_dir[10969*3 + 1] = -0.908622f;	val_dir[10969*3 + 2] = -0.159009f;
 	val_dir[10970*3 + 0] = -0.371191f;	val_dir[10970*3 + 1] = -0.904777f;	val_dir[10970*3 + 2] = -0.208795f;
 	val_dir[10971*3 + 0] = -0.354540f;	val_dir[10971*3 + 1] = -0.898167f;	val_dir[10971*3 + 2] = -0.259996f;
 	val_dir[10972*3 + 0] = -0.336204f;	val_dir[10972*3 + 1] = -0.888540f;	val_dir[10972*3 + 2] = -0.312190f;
 	val_dir[10973*3 + 0] = -0.316228f;	val_dir[10973*3 + 1] = -0.875708f;	val_dir[10973*3 + 2] = -0.364878f;
 	val_dir[10974*3 + 0] = -0.294706f;	val_dir[10974*3 + 1] = -0.859559f;	val_dir[10974*3 + 2] = -0.41750f;
 	val_dir[10975*3 + 0] = -0.271791f;	val_dir[10975*3 + 1] = -0.840083f;	val_dir[10975*3 + 2] = -0.469458f;
 	val_dir[10976*3 + 0] = -0.247689f;	val_dir[10976*3 + 1] = -0.817373f;	val_dir[10976*3 + 2] = -0.520146f;
 	val_dir[10977*3 + 0] = -0.222647f;	val_dir[10977*3 + 1] = -0.791633f;	val_dir[10977*3 + 2] = -0.568986f;
 	val_dir[10978*3 + 0] = -0.196946f;	val_dir[10978*3 + 1] = -0.763167f;	val_dir[10978*3 + 2] = -0.615457f;
 	val_dir[10979*3 + 0] = -0.170884f;	val_dir[10979*3 + 1] = -0.732361f;	val_dir[10979*3 + 2] = -0.659125f;
 	val_dir[10980*3 + 0] = -0.144757f;	val_dir[10980*3 + 1] = -0.699659f;	val_dir[10980*3 + 2] = -0.699659f;
 	val_dir[10981*3 + 0] = -0.118846f;	val_dir[10981*3 + 1] = -0.665536f;	val_dir[10981*3 + 2] = -0.736843f;
 	val_dir[10982*3 + 0] = -0.093403f;	val_dir[10982*3 + 1] = -0.630470f;	val_dir[10982*3 + 2] = -0.770574f;
 	val_dir[10983*3 + 0] = -0.068644f;	val_dir[10983*3 + 1] = -0.594917f;	val_dir[10983*3 + 2] = -0.800850f;
 	val_dir[10984*3 + 0] = -0.044744f;	val_dir[10984*3 + 1] = -0.559297f;	val_dir[10984*3 + 2] = -0.827759f;
 	val_dir[10985*3 + 0] = -0.021832f;	val_dir[10985*3 + 1] = -0.523973f;	val_dir[10985*3 + 2] = -0.851455f;
 	val_dir[10986*3 + 0] = 0.0f;	val_dir[10986*3 + 1] = -0.489251f;	val_dir[10986*3 + 2] = -0.872143f;
 	val_dir[10987*3 + 0] = 0.021487f;	val_dir[10987*3 + 1] = -0.472709f;	val_dir[10987*3 + 2] = -0.880957f;
 	val_dir[10988*3 + 0] = 0.043376f;	val_dir[10988*3 + 1] = -0.455447f;	val_dir[10988*3 + 2] = -0.889206f;
 	val_dir[10989*3 + 0] = 0.065622f;	val_dir[10989*3 + 1] = -0.437479f;	val_dir[10989*3 + 2] = -0.896831f;
 	val_dir[10990*3 + 0] = 0.088173f;	val_dir[10990*3 + 1] = -0.418823f;	val_dir[10990*3 + 2] = -0.903777f;
 	val_dir[10991*3 + 0] = 0.110974f;	val_dir[10991*3 + 1] = -0.399507f;	val_dir[10991*3 + 2] = -0.909988f;
 	val_dir[10992*3 + 0] = 0.133963f;	val_dir[10992*3 + 1] = -0.379563f;	val_dir[10992*3 + 2] = -0.915416f;
 	val_dir[10993*3 + 0] = 0.157075f;	val_dir[10993*3 + 1] = -0.359030f;	val_dir[10993*3 + 2] = -0.920014f;
 	val_dir[10994*3 + 0] = 0.180242f;	val_dir[10994*3 + 1] = -0.337954f;	val_dir[10994*3 + 2] = -0.923742f;
 	val_dir[10995*3 + 0] = 0.203393f;	val_dir[10995*3 + 1] = -0.316389f;	val_dir[10995*3 + 2] = -0.926568f;
 	val_dir[10996*3 + 0] = 0.226455f;	val_dir[10996*3 + 1] = -0.294392f;	val_dir[10996*3 + 2] = -0.928467f;
 	val_dir[10997*3 + 0] = 0.249357f;	val_dir[10997*3 + 1] = -0.272026f;	val_dir[10997*3 + 2] = -0.929421f;
 	val_dir[10998*3 + 0] = 0.272026f;	val_dir[10998*3 + 1] = -0.249357f;	val_dir[10998*3 + 2] = -0.929421f;
 	val_dir[10999*3 + 0] = 0.294392f;	val_dir[10999*3 + 1] = -0.226455f;	val_dir[10999*3 + 2] = -0.928467f;
 	val_dir[11000*3 + 0] = 0.316389f;	val_dir[11000*3 + 1] = -0.203393f;	val_dir[11000*3 + 2] = -0.926568f;
 	val_dir[11001*3 + 0] = 0.337954f;	val_dir[11001*3 + 1] = -0.180242f;	val_dir[11001*3 + 2] = -0.923742f;
 	val_dir[11002*3 + 0] = 0.359030f;	val_dir[11002*3 + 1] = -0.157075f;	val_dir[11002*3 + 2] = -0.920014f;
 	val_dir[11003*3 + 0] = 0.379563f;	val_dir[11003*3 + 1] = -0.133963f;	val_dir[11003*3 + 2] = -0.915416f;
 	val_dir[11004*3 + 0] = 0.399507f;	val_dir[11004*3 + 1] = -0.110974f;	val_dir[11004*3 + 2] = -0.909988f;
 	val_dir[11005*3 + 0] = 0.418823f;	val_dir[11005*3 + 1] = -0.088173f;	val_dir[11005*3 + 2] = -0.903777f;
 	val_dir[11006*3 + 0] = 0.437479f;	val_dir[11006*3 + 1] = -0.065622f;	val_dir[11006*3 + 2] = -0.896831f;
 	val_dir[11007*3 + 0] = 0.455447f;	val_dir[11007*3 + 1] = -0.043376f;	val_dir[11007*3 + 2] = -0.889206f;
 	val_dir[11008*3 + 0] = 0.472709f;	val_dir[11008*3 + 1] = -0.021487f;	val_dir[11008*3 + 2] = -0.880957f;
 	val_dir[11009*3 + 0] = 0.489251f;	val_dir[11009*3 + 1] = 0.0f;	val_dir[11009*3 + 2] = -0.872143f;
 	val_dir[11010*3 + 0] = 0.523973f;	val_dir[11010*3 + 1] = 0.021832f;	val_dir[11010*3 + 2] = -0.851455f;
 	val_dir[11011*3 + 0] = 0.559297f;	val_dir[11011*3 + 1] = 0.044744f;	val_dir[11011*3 + 2] = -0.827759f;
 	val_dir[11012*3 + 0] = 0.594917f;	val_dir[11012*3 + 1] = 0.068644f;	val_dir[11012*3 + 2] = -0.800850f;
 	val_dir[11013*3 + 0] = 0.630470f;	val_dir[11013*3 + 1] = 0.093403f;	val_dir[11013*3 + 2] = -0.770574f;
 	val_dir[11014*3 + 0] = 0.665536f;	val_dir[11014*3 + 1] = 0.118846f;	val_dir[11014*3 + 2] = -0.736843f;
 	val_dir[11015*3 + 0] = 0.699659f;	val_dir[11015*3 + 1] = 0.144757f;	val_dir[11015*3 + 2] = -0.699659f;
 	val_dir[11016*3 + 0] = 0.732361f;	val_dir[11016*3 + 1] = 0.170884f;	val_dir[11016*3 + 2] = -0.659125f;
 	val_dir[11017*3 + 0] = 0.763167f;	val_dir[11017*3 + 1] = 0.196946f;	val_dir[11017*3 + 2] = -0.615457f;
 	val_dir[11018*3 + 0] = 0.791633f;	val_dir[11018*3 + 1] = 0.222647f;	val_dir[11018*3 + 2] = -0.568986f;
 	val_dir[11019*3 + 0] = 0.817373f;	val_dir[11019*3 + 1] = 0.247689f;	val_dir[11019*3 + 2] = -0.520146f;
 	val_dir[11020*3 + 0] = 0.840083f;	val_dir[11020*3 + 1] = 0.271791f;	val_dir[11020*3 + 2] = -0.469458f;
 	val_dir[11021*3 + 0] = 0.859559f;	val_dir[11021*3 + 1] = 0.294706f;	val_dir[11021*3 + 2] = -0.41750f;
 	val_dir[11022*3 + 0] = 0.875708f;	val_dir[11022*3 + 1] = 0.316228f;	val_dir[11022*3 + 2] = -0.364878f;
 	val_dir[11023*3 + 0] = 0.888540f;	val_dir[11023*3 + 1] = 0.336204f;	val_dir[11023*3 + 2] = -0.312190f;
 	val_dir[11024*3 + 0] = 0.898167f;	val_dir[11024*3 + 1] = 0.354540f;	val_dir[11024*3 + 2] = -0.259996f;
 	val_dir[11025*3 + 0] = 0.904777f;	val_dir[11025*3 + 1] = 0.371191f;	val_dir[11025*3 + 2] = -0.208795f;
 	val_dir[11026*3 + 0] = 0.908622f;	val_dir[11026*3 + 1] = 0.386164f;	val_dir[11026*3 + 2] = -0.159009f;
 	val_dir[11027*3 + 0] = 0.909988f;	val_dir[11027*3 + 1] = 0.399507f;	val_dir[11027*3 + 2] = -0.110974f;
 	val_dir[11028*3 + 0] = 0.909185f;	val_dir[11028*3 + 1] = 0.411298f;	val_dir[11028*3 + 2] = -0.064942f;
 	val_dir[11029*3 + 0] = 0.906520f;	val_dir[11029*3 + 1] = 0.421637f;	val_dir[11029*3 + 2] = -0.021082f;
 	val_dir[11030*3 + 0] = -0.438835f;	val_dir[11030*3 + 1] = -0.898567f;	val_dir[11030*3 + 2] = 0.0f;
 	val_dir[11031*3 + 0] = -0.429537f;	val_dir[11031*3 + 1] = -0.902027f;	val_dir[11031*3 + 2] = -0.042954f;
 	val_dir[11032*3 + 0] = -0.418823f;	val_dir[11032*3 + 1] = -0.903777f;	val_dir[11032*3 + 2] = -0.088173f;
 	val_dir[11033*3 + 0] = -0.406579f;	val_dir[11033*3 + 1] = -0.903508f;	val_dir[11033*3 + 2] = -0.135526f;
 	val_dir[11034*3 + 0] = -0.392703f;	val_dir[11034*3 + 1] = -0.900907f;	val_dir[11034*3 + 2] = -0.184801f;
 	val_dir[11035*3 + 0] = -0.377124f;	val_dir[11035*3 + 1] = -0.895669f;	val_dir[11035*3 + 2] = -0.235702f;
 	val_dir[11036*3 + 0] = -0.359804f;	val_dir[11036*3 + 1] = -0.887517f;	val_dir[11036*3 + 2] = -0.287843f;
 	val_dir[11037*3 + 0] = -0.340755f;	val_dir[11037*3 + 1] = -0.876226f;	val_dir[11037*3 + 2] = -0.340755f;
 	val_dir[11038*3 + 0] = -0.320038f;	val_dir[11038*3 + 1] = -0.861640f;	val_dir[11038*3 + 2] = -0.393893f;
 	val_dir[11039*3 + 0] = -0.297775f;	val_dir[11039*3 + 1] = -0.843696f;	val_dir[11039*3 + 2] = -0.446662f;
 	val_dir[11040*3 + 0] = -0.274145f;	val_dir[11040*3 + 1] = -0.822434f;	val_dir[11040*3 + 2] = -0.498445f;
 	val_dir[11041*3 + 0] = -0.249377f;	val_dir[11041*3 + 1] = -0.798007f;	val_dir[11041*3 + 2] = -0.548630f;
 	val_dir[11042*3 + 0] = -0.223745f;	val_dir[11042*3 + 1] = -0.770677f;	val_dir[11042*3 + 2] = -0.596653f;
 	val_dir[11043*3 + 0] = -0.197546f;	val_dir[11043*3 + 1] = -0.740797f;	val_dir[11043*3 + 2] = -0.642024f;
 	val_dir[11044*3 + 0] = -0.171088f;	val_dir[11044*3 + 1] = -0.708794f;	val_dir[11044*3 + 2] = -0.684353f;
 	val_dir[11045*3 + 0] = -0.144673f;	val_dir[11045*3 + 1] = -0.675140f;	val_dir[11045*3 + 2] = -0.723364f;
 	val_dir[11046*3 + 0] = -0.118578f;	val_dir[11046*3 + 1] = -0.640321f;	val_dir[11046*3 + 2] = -0.758899f;
 	val_dir[11047*3 + 0] = -0.093048f;	val_dir[11047*3 + 1] = -0.604815f;	val_dir[11047*3 + 2] = -0.790912f;
 	val_dir[11048*3 + 0] = -0.068288f;	val_dir[11048*3 + 1] = -0.569064f;	val_dir[11048*3 + 2] = -0.819453f;
 	val_dir[11049*3 + 0] = -0.044455f;	val_dir[11049*3 + 1] = -0.533465f;	val_dir[11049*3 + 2] = -0.844653f;
 	val_dir[11050*3 + 0] = -0.021668f;	val_dir[11050*3 + 1] = -0.498354f;	val_dir[11050*3 + 2] = -0.866703f;
 	val_dir[11051*3 + 0] = 0.0f;	val_dir[11051*3 + 1] = -0.464007f;	val_dir[11051*3 + 2] = -0.885832f;
 	val_dir[11052*3 + 0] = 0.021291f;	val_dir[11052*3 + 1] = -0.447112f;	val_dir[11052*3 + 2] = -0.894224f;
 	val_dir[11053*3 + 0] = 0.042954f;	val_dir[11053*3 + 1] = -0.429537f;	val_dir[11053*3 + 2] = -0.902027f;
 	val_dir[11054*3 + 0] = 0.064942f;	val_dir[11054*3 + 1] = -0.411298f;	val_dir[11054*3 + 2] = -0.909185f;
 	val_dir[11055*3 + 0] = 0.087204f;	val_dir[11055*3 + 1] = -0.392419f;	val_dir[11055*3 + 2] = -0.915644f;
 	val_dir[11056*3 + 0] = 0.109685f;	val_dir[11056*3 + 1] = -0.372929f;	val_dir[11056*3 + 2] = -0.921354f;
 	val_dir[11057*3 + 0] = 0.132324f;	val_dir[11057*3 + 1] = -0.352865f;	val_dir[11057*3 + 2] = -0.926270f;
 	val_dir[11058*3 + 0] = 0.155059f;	val_dir[11058*3 + 1] = -0.332269f;	val_dir[11058*3 + 2] = -0.930352f;
 	val_dir[11059*3 + 0] = 0.177822f;	val_dir[11059*3 + 1] = -0.311188f;	val_dir[11059*3 + 2] = -0.933564f;
 	val_dir[11060*3 + 0] = 0.200545f;	val_dir[11060*3 + 1] = -0.289677f;	val_dir[11060*3 + 2] = -0.935879f;
 	val_dir[11061*3 + 0] = 0.223161f;	val_dir[11061*3 + 1] = -0.267793f;	val_dir[11061*3 + 2] = -0.937276f;
 	val_dir[11062*3 + 0] = 0.245599f;	val_dir[11062*3 + 1] = -0.245599f;	val_dir[11062*3 + 2] = -0.937743f;
 	val_dir[11063*3 + 0] = 0.267793f;	val_dir[11063*3 + 1] = -0.223161f;	val_dir[11063*3 + 2] = -0.937276f;
 	val_dir[11064*3 + 0] = 0.289677f;	val_dir[11064*3 + 1] = -0.200545f;	val_dir[11064*3 + 2] = -0.935879f;
 	val_dir[11065*3 + 0] = 0.311188f;	val_dir[11065*3 + 1] = -0.177822f;	val_dir[11065*3 + 2] = -0.933564f;
 	val_dir[11066*3 + 0] = 0.332269f;	val_dir[11066*3 + 1] = -0.155059f;	val_dir[11066*3 + 2] = -0.930352f;
 	val_dir[11067*3 + 0] = 0.352865f;	val_dir[11067*3 + 1] = -0.132324f;	val_dir[11067*3 + 2] = -0.926270f;
 	val_dir[11068*3 + 0] = 0.372929f;	val_dir[11068*3 + 1] = -0.109685f;	val_dir[11068*3 + 2] = -0.921354f;
 	val_dir[11069*3 + 0] = 0.392419f;	val_dir[11069*3 + 1] = -0.087204f;	val_dir[11069*3 + 2] = -0.915644f;
 	val_dir[11070*3 + 0] = 0.411298f;	val_dir[11070*3 + 1] = -0.064942f;	val_dir[11070*3 + 2] = -0.909185f;
 	val_dir[11071*3 + 0] = 0.429537f;	val_dir[11071*3 + 1] = -0.042954f;	val_dir[11071*3 + 2] = -0.902027f;
 	val_dir[11072*3 + 0] = 0.447112f;	val_dir[11072*3 + 1] = -0.021291f;	val_dir[11072*3 + 2] = -0.894224f;
 	val_dir[11073*3 + 0] = 0.464007f;	val_dir[11073*3 + 1] = 0.0f;	val_dir[11073*3 + 2] = -0.885832f;
 	val_dir[11074*3 + 0] = 0.498354f;	val_dir[11074*3 + 1] = 0.021668f;	val_dir[11074*3 + 2] = -0.866703f;
 	val_dir[11075*3 + 0] = 0.533465f;	val_dir[11075*3 + 1] = 0.044455f;	val_dir[11075*3 + 2] = -0.844653f;
 	val_dir[11076*3 + 0] = 0.569064f;	val_dir[11076*3 + 1] = 0.068288f;	val_dir[11076*3 + 2] = -0.819453f;
 	val_dir[11077*3 + 0] = 0.604815f;	val_dir[11077*3 + 1] = 0.093048f;	val_dir[11077*3 + 2] = -0.790912f;
 	val_dir[11078*3 + 0] = 0.640321f;	val_dir[11078*3 + 1] = 0.118578f;	val_dir[11078*3 + 2] = -0.758899f;
 	val_dir[11079*3 + 0] = 0.675140f;	val_dir[11079*3 + 1] = 0.144673f;	val_dir[11079*3 + 2] = -0.723364f;
 	val_dir[11080*3 + 0] = 0.708794f;	val_dir[11080*3 + 1] = 0.171088f;	val_dir[11080*3 + 2] = -0.684353f;
 	val_dir[11081*3 + 0] = 0.740797f;	val_dir[11081*3 + 1] = 0.197546f;	val_dir[11081*3 + 2] = -0.642024f;
 	val_dir[11082*3 + 0] = 0.770677f;	val_dir[11082*3 + 1] = 0.223745f;	val_dir[11082*3 + 2] = -0.596653f;
 	val_dir[11083*3 + 0] = 0.798007f;	val_dir[11083*3 + 1] = 0.249377f;	val_dir[11083*3 + 2] = -0.548630f;
 	val_dir[11084*3 + 0] = 0.822434f;	val_dir[11084*3 + 1] = 0.274145f;	val_dir[11084*3 + 2] = -0.498445f;
 	val_dir[11085*3 + 0] = 0.843696f;	val_dir[11085*3 + 1] = 0.297775f;	val_dir[11085*3 + 2] = -0.446662f;
 	val_dir[11086*3 + 0] = 0.861640f;	val_dir[11086*3 + 1] = 0.320038f;	val_dir[11086*3 + 2] = -0.393893f;
 	val_dir[11087*3 + 0] = 0.876226f;	val_dir[11087*3 + 1] = 0.340755f;	val_dir[11087*3 + 2] = -0.340755f;
 	val_dir[11088*3 + 0] = 0.887517f;	val_dir[11088*3 + 1] = 0.359804f;	val_dir[11088*3 + 2] = -0.287843f;
 	val_dir[11089*3 + 0] = 0.895669f;	val_dir[11089*3 + 1] = 0.377124f;	val_dir[11089*3 + 2] = -0.235702f;
 	val_dir[11090*3 + 0] = 0.900907f;	val_dir[11090*3 + 1] = 0.392703f;	val_dir[11090*3 + 2] = -0.184801f;
 	val_dir[11091*3 + 0] = 0.903508f;	val_dir[11091*3 + 1] = 0.406579f;	val_dir[11091*3 + 2] = -0.135526f;
 	val_dir[11092*3 + 0] = 0.903777f;	val_dir[11092*3 + 1] = 0.418823f;	val_dir[11092*3 + 2] = -0.088173f;
 	val_dir[11093*3 + 0] = 0.902027f;	val_dir[11093*3 + 1] = 0.429537f;	val_dir[11093*3 + 2] = -0.042954f;
 	val_dir[11094*3 + 0] = 0.898567f;	val_dir[11094*3 + 1] = 0.438835f;	val_dir[11094*3 + 2] = 0.0f;
 	val_dir[11095*3 + 0] = -0.447112f;	val_dir[11095*3 + 1] = -0.894224f;	val_dir[11095*3 + 2] = -0.021291f;
 	val_dir[11096*3 + 0] = -0.437479f;	val_dir[11096*3 + 1] = -0.896831f;	val_dir[11096*3 + 2] = -0.065622f;
 	val_dir[11097*3 + 0] = -0.426348f;	val_dir[11097*3 + 1] = -0.897574f;	val_dir[11097*3 + 2] = -0.112197f;
 	val_dir[11098*3 + 0] = -0.413602f;	val_dir[11098*3 + 1] = -0.896137f;	val_dir[11098*3 + 2] = -0.160845f;
 	val_dir[11099*3 + 0] = -0.399145f;	val_dir[11099*3 + 1] = -0.892206f;	val_dir[11099*3 + 2] = -0.211312f;
 	val_dir[11100*3 + 0] = -0.382911f;	val_dir[11100*3 + 1] = -0.885482f;	val_dir[11100*3 + 2] = -0.263251f;
 	val_dir[11101*3 + 0] = -0.364878f;	val_dir[11101*3 + 1] = -0.875708f;	val_dir[11101*3 + 2] = -0.316228f;
 	val_dir[11102*3 + 0] = -0.345075f;	val_dir[11102*3 + 1] = -0.862687f;	val_dir[11102*3 + 2] = -0.369723f;
 	val_dir[11103*3 + 0] = -0.323587f;	val_dir[11103*3 + 1] = -0.846305f;	val_dir[11103*3 + 2] = -0.423153f;
 	val_dir[11104*3 + 0] = -0.300564f;	val_dir[11104*3 + 1] = -0.826551f;	val_dir[11104*3 + 2] = -0.475893f;
 	val_dir[11105*3 + 0] = -0.276211f;	val_dir[11105*3 + 1] = -0.803523f;	val_dir[11105*3 + 2] = -0.527312f;
 	val_dir[11106*3 + 0] = -0.250785f;	val_dir[11106*3 + 1] = -0.777433f;	val_dir[11106*3 + 2] = -0.576805f;
 	val_dir[11107*3 + 0] = -0.224579f;	val_dir[11107*3 + 1] = -0.748598f;	val_dir[11107*3 + 2] = -0.623831f;
 	val_dir[11108*3 + 0] = -0.197908f;	val_dir[11108*3 + 1] = -0.717418f;	val_dir[11108*3 + 2] = -0.667940f;
 	val_dir[11109*3 + 0] = -0.171088f;	val_dir[11109*3 + 1] = -0.684353f;	val_dir[11109*3 + 2] = -0.708794f;
 	val_dir[11110*3 + 0] = -0.144421f;	val_dir[11110*3 + 1] = -0.649895f;	val_dir[11110*3 + 2] = -0.746176f;
 	val_dir[11111*3 + 0] = -0.118180f;	val_dir[11111*3 + 1] = -0.614535f;	val_dir[11111*3 + 2] = -0.779987f;
 	val_dir[11112*3 + 0] = -0.092599f;	val_dir[11112*3 + 1] = -0.578741f;	val_dir[11112*3 + 2] = -0.810237f;
 	val_dir[11113*3 + 0] = -0.067867f;	val_dir[11113*3 + 1] = -0.542936f;	val_dir[11113*3 + 2] = -0.837027f;
 	val_dir[11114*3 + 0] = -0.044130f;	val_dir[11114*3 + 1] = -0.507490f;	val_dir[11114*3 + 2] = -0.860527f;
 	val_dir[11115*3 + 0] = -0.021487f;	val_dir[11115*3 + 1] = -0.472709f;	val_dir[11115*3 + 2] = -0.880957f;
 	val_dir[11116*3 + 0] = 0.0f;	val_dir[11116*3 + 1] = -0.438835f;	val_dir[11116*3 + 2] = -0.898567f;
 	val_dir[11117*3 + 0] = 0.021082f;	val_dir[11117*3 + 1] = -0.421637f;	val_dir[11117*3 + 2] = -0.906520f;
 	val_dir[11118*3 + 0] = 0.042505f;	val_dir[11118*3 + 1] = -0.403799f;	val_dir[11118*3 + 2] = -0.913860f;
 	val_dir[11119*3 + 0] = 0.064223f;	val_dir[11119*3 + 1] = -0.385341f;	val_dir[11119*3 + 2] = -0.920537f;
 	val_dir[11120*3 + 0] = 0.086186f;	val_dir[11120*3 + 1] = -0.366291f;	val_dir[11120*3 + 2] = -0.92650f;
 	val_dir[11121*3 + 0] = 0.108338f;	val_dir[11121*3 + 1] = -0.346681f;	val_dir[11121*3 + 2] = -0.931705f;
 	val_dir[11122*3 + 0] = 0.130620f;	val_dir[11122*3 + 1] = -0.326550f;	val_dir[11122*3 + 2] = -0.936111f;
 	val_dir[11123*3 + 0] = 0.152971f;	val_dir[11123*3 + 1] = -0.305942f;	val_dir[11123*3 + 2] = -0.939680f;
 	val_dir[11124*3 + 0] = 0.175327f;	val_dir[11124*3 + 1] = -0.284907f;	val_dir[11124*3 + 2] = -0.942384f;
 	val_dir[11125*3 + 0] = 0.197623f;	val_dir[11125*3 + 1] = -0.263498f;	val_dir[11125*3 + 2] = -0.94420f;
 	val_dir[11126*3 + 0] = 0.219793f;	val_dir[11126*3 + 1] = -0.241773f;	val_dir[11126*3 + 2] = -0.945112f;
 	val_dir[11127*3 + 0] = 0.241773f;	val_dir[11127*3 + 1] = -0.219793f;	val_dir[11127*3 + 2] = -0.945112f;
 	val_dir[11128*3 + 0] = 0.263498f;	val_dir[11128*3 + 1] = -0.197623f;	val_dir[11128*3 + 2] = -0.94420f;
 	val_dir[11129*3 + 0] = 0.284907f;	val_dir[11129*3 + 1] = -0.175327f;	val_dir[11129*3 + 2] = -0.942384f;
 	val_dir[11130*3 + 0] = 0.305942f;	val_dir[11130*3 + 1] = -0.152971f;	val_dir[11130*3 + 2] = -0.939680f;
 	val_dir[11131*3 + 0] = 0.326550f;	val_dir[11131*3 + 1] = -0.130620f;	val_dir[11131*3 + 2] = -0.936111f;
 	val_dir[11132*3 + 0] = 0.346681f;	val_dir[11132*3 + 1] = -0.108338f;	val_dir[11132*3 + 2] = -0.931705f;
 	val_dir[11133*3 + 0] = 0.366291f;	val_dir[11133*3 + 1] = -0.086186f;	val_dir[11133*3 + 2] = -0.92650f;
 	val_dir[11134*3 + 0] = 0.385341f;	val_dir[11134*3 + 1] = -0.064223f;	val_dir[11134*3 + 2] = -0.920537f;
 	val_dir[11135*3 + 0] = 0.403799f;	val_dir[11135*3 + 1] = -0.042505f;	val_dir[11135*3 + 2] = -0.913860f;
 	val_dir[11136*3 + 0] = 0.421637f;	val_dir[11136*3 + 1] = -0.021082f;	val_dir[11136*3 + 2] = -0.906520f;
 	val_dir[11137*3 + 0] = 0.438835f;	val_dir[11137*3 + 1] = 0.0f;	val_dir[11137*3 + 2] = -0.898567f;
 	val_dir[11138*3 + 0] = 0.472709f;	val_dir[11138*3 + 1] = 0.021487f;	val_dir[11138*3 + 2] = -0.880957f;
 	val_dir[11139*3 + 0] = 0.507490f;	val_dir[11139*3 + 1] = 0.044130f;	val_dir[11139*3 + 2] = -0.860527f;
 	val_dir[11140*3 + 0] = 0.542936f;	val_dir[11140*3 + 1] = 0.067867f;	val_dir[11140*3 + 2] = -0.837027f;
 	val_dir[11141*3 + 0] = 0.578741f;	val_dir[11141*3 + 1] = 0.092599f;	val_dir[11141*3 + 2] = -0.810237f;
 	val_dir[11142*3 + 0] = 0.614535f;	val_dir[11142*3 + 1] = 0.118180f;	val_dir[11142*3 + 2] = -0.779987f;
 	val_dir[11143*3 + 0] = 0.649895f;	val_dir[11143*3 + 1] = 0.144421f;	val_dir[11143*3 + 2] = -0.746176f;
 	val_dir[11144*3 + 0] = 0.684353f;	val_dir[11144*3 + 1] = 0.171088f;	val_dir[11144*3 + 2] = -0.708794f;
 	val_dir[11145*3 + 0] = 0.717418f;	val_dir[11145*3 + 1] = 0.197908f;	val_dir[11145*3 + 2] = -0.667940f;
 	val_dir[11146*3 + 0] = 0.748598f;	val_dir[11146*3 + 1] = 0.224579f;	val_dir[11146*3 + 2] = -0.623831f;
 	val_dir[11147*3 + 0] = 0.777433f;	val_dir[11147*3 + 1] = 0.250785f;	val_dir[11147*3 + 2] = -0.576805f;
 	val_dir[11148*3 + 0] = 0.803523f;	val_dir[11148*3 + 1] = 0.276211f;	val_dir[11148*3 + 2] = -0.527312f;
 	val_dir[11149*3 + 0] = 0.826551f;	val_dir[11149*3 + 1] = 0.300564f;	val_dir[11149*3 + 2] = -0.475893f;
 	val_dir[11150*3 + 0] = 0.846305f;	val_dir[11150*3 + 1] = 0.323587f;	val_dir[11150*3 + 2] = -0.423153f;
 	val_dir[11151*3 + 0] = 0.862687f;	val_dir[11151*3 + 1] = 0.345075f;	val_dir[11151*3 + 2] = -0.369723f;
 	val_dir[11152*3 + 0] = 0.875708f;	val_dir[11152*3 + 1] = 0.364878f;	val_dir[11152*3 + 2] = -0.316228f;
 	val_dir[11153*3 + 0] = 0.885482f;	val_dir[11153*3 + 1] = 0.382911f;	val_dir[11153*3 + 2] = -0.263251f;
 	val_dir[11154*3 + 0] = 0.892206f;	val_dir[11154*3 + 1] = 0.399145f;	val_dir[11154*3 + 2] = -0.211312f;
 	val_dir[11155*3 + 0] = 0.896137f;	val_dir[11155*3 + 1] = 0.413602f;	val_dir[11155*3 + 2] = -0.160845f;
 	val_dir[11156*3 + 0] = 0.897574f;	val_dir[11156*3 + 1] = 0.426348f;	val_dir[11156*3 + 2] = -0.112197f;
 	val_dir[11157*3 + 0] = 0.896831f;	val_dir[11157*3 + 1] = 0.437479f;	val_dir[11157*3 + 2] = -0.065622f;
 	val_dir[11158*3 + 0] = 0.894224f;	val_dir[11158*3 + 1] = 0.447112f;	val_dir[11158*3 + 2] = -0.021291f;
 	val_dir[11159*3 + 0] = -0.464007f;	val_dir[11159*3 + 1] = -0.885832f;	val_dir[11159*3 + 2] = 0.0f;
 	val_dir[11160*3 + 0] = -0.455447f;	val_dir[11160*3 + 1] = -0.889206f;	val_dir[11160*3 + 2] = -0.043376f;
 	val_dir[11161*3 + 0] = -0.445435f;	val_dir[11161*3 + 1] = -0.890871f;	val_dir[11161*3 + 2] = -0.089087f;
 	val_dir[11162*3 + 0] = -0.433840f;	val_dir[11162*3 + 1] = -0.890513f;	val_dir[11162*3 + 2] = -0.137002f;
 	val_dir[11163*3 + 0] = -0.420542f;	val_dir[11163*3 + 1] = -0.887812f;	val_dir[11163*3 + 2] = -0.186908f;
 	val_dir[11164*3 + 0] = -0.405452f;	val_dir[11164*3 + 1] = -0.882454f;	val_dir[11164*3 + 2] = -0.238501f;
 	val_dir[11165*3 + 0] = -0.388514f;	val_dir[11165*3 + 1] = -0.874157f;	val_dir[11165*3 + 2] = -0.291386f;
 	val_dir[11166*3 + 0] = -0.369723f;	val_dir[11166*3 + 1] = -0.862687f;	val_dir[11166*3 + 2] = -0.345075f;
 	val_dir[11167*3 + 0] = -0.349128f;	val_dir[11167*3 + 1] = -0.847883f;	val_dir[11167*3 + 2] = -0.399004f;
 	val_dir[11168*3 + 0] = -0.326844f;	val_dir[11168*3 + 1] = -0.829680f;	val_dir[11168*3 + 2] = -0.452553f;
 	val_dir[11169*3 + 0] = -0.303046f;	val_dir[11169*3 + 1] = -0.808122f;	val_dir[11169*3 + 2] = -0.505076f;
 	val_dir[11170*3 + 0] = -0.277969f;	val_dir[11170*3 + 1] = -0.783368f;	val_dir[11170*3 + 2] = -0.555939f;
 	val_dir[11171*3 + 0] = -0.251896f;	val_dir[11171*3 + 1] = -0.755689f;	val_dir[11171*3 + 2] = -0.604551f;
 	val_dir[11172*3 + 0] = -0.225141f;	val_dir[11172*3 + 1] = -0.725454f;	val_dir[11172*3 + 2] = -0.650407f;
 	val_dir[11173*3 + 0] = -0.198030f;	val_dir[11173*3 + 1] = -0.693103f;	val_dir[11173*3 + 2] = -0.693103f;
 	val_dir[11174*3 + 0] = -0.170884f;	val_dir[11174*3 + 1] = -0.659125f;	val_dir[11174*3 + 2] = -0.732361f;
 	val_dir[11175*3 + 0] = -0.144005f;	val_dir[11175*3 + 1] = -0.624020f;	val_dir[11175*3 + 2] = -0.768025f;
 	val_dir[11176*3 + 0] = -0.117655f;	val_dir[11176*3 + 1] = -0.588276f;	val_dir[11176*3 + 2] = -0.800055f;
 	val_dir[11177*3 + 0] = -0.092057f;	val_dir[11177*3 + 1] = -0.552345f;	val_dir[11177*3 + 2] = -0.828517f;
 	val_dir[11178*3 + 0] = -0.067386f;	val_dir[11178*3 + 1] = -0.516626f;	val_dir[11178*3 + 2] = -0.853556f;
 	val_dir[11179*3 + 0] = -0.043769f;	val_dir[11179*3 + 1] = -0.481457f;	val_dir[11179*3 + 2] = -0.875376f;
 	val_dir[11180*3 + 0] = -0.021291f;	val_dir[11180*3 + 1] = -0.447112f;	val_dir[11180*3 + 2] = -0.894224f;
 	val_dir[11181*3 + 0] = 0.0f;	val_dir[11181*3 + 1] = -0.413803f;	val_dir[11181*3 + 2] = -0.910366f;
 	val_dir[11182*3 + 0] = 0.020861f;	val_dir[11182*3 + 1] = -0.396350f;	val_dir[11182*3 + 2] = -0.917863f;
 	val_dir[11183*3 + 0] = 0.042033f;	val_dir[11183*3 + 1] = -0.378298f;	val_dir[11183*3 + 2] = -0.924729f;
 	val_dir[11184*3 + 0] = 0.063472f;	val_dir[11184*3 + 1] = -0.359673f;	val_dir[11184*3 + 2] = -0.930917f;
 	val_dir[11185*3 + 0] = 0.085126f;	val_dir[11185*3 + 1] = -0.340503f;	val_dir[11185*3 + 2] = -0.936382f;
 	val_dir[11186*3 + 0] = 0.106941f;	val_dir[11186*3 + 1] = -0.320824f;	val_dir[11186*3 + 2] = -0.941082f;
 	val_dir[11187*3 + 0] = 0.128861f;	val_dir[11187*3 + 1] = -0.300676f;	val_dir[11187*3 + 2] = -0.944981f;
 	val_dir[11188*3 + 0] = 0.150826f;	val_dir[11188*3 + 1] = -0.280105f;	val_dir[11188*3 + 2] = -0.948047f;
 	val_dir[11189*3 + 0] = 0.172774f;	val_dir[11189*3 + 1] = -0.259161f;	val_dir[11189*3 + 2] = -0.950255f;
 	val_dir[11190*3 + 0] = 0.194643f;	val_dir[11190*3 + 1] = -0.237897f;	val_dir[11190*3 + 2] = -0.951588f;
 	val_dir[11191*3 + 0] = 0.216371f;	val_dir[11191*3 + 1] = -0.216371f;	val_dir[11191*3 + 2] = -0.952033f;
 	val_dir[11192*3 + 0] = 0.237897f;	val_dir[11192*3 + 1] = -0.194643f;	val_dir[11192*3 + 2] = -0.951588f;
 	val_dir[11193*3 + 0] = 0.259161f;	val_dir[11193*3 + 1] = -0.172774f;	val_dir[11193*3 + 2] = -0.950255f;
 	val_dir[11194*3 + 0] = 0.280105f;	val_dir[11194*3 + 1] = -0.150826f;	val_dir[11194*3 + 2] = -0.948047f;
 	val_dir[11195*3 + 0] = 0.300676f;	val_dir[11195*3 + 1] = -0.128861f;	val_dir[11195*3 + 2] = -0.944981f;
 	val_dir[11196*3 + 0] = 0.320824f;	val_dir[11196*3 + 1] = -0.106941f;	val_dir[11196*3 + 2] = -0.941082f;
 	val_dir[11197*3 + 0] = 0.340503f;	val_dir[11197*3 + 1] = -0.085126f;	val_dir[11197*3 + 2] = -0.936382f;
 	val_dir[11198*3 + 0] = 0.359673f;	val_dir[11198*3 + 1] = -0.063472f;	val_dir[11198*3 + 2] = -0.930917f;
 	val_dir[11199*3 + 0] = 0.378298f;	val_dir[11199*3 + 1] = -0.042033f;	val_dir[11199*3 + 2] = -0.924729f;
 	val_dir[11200*3 + 0] = 0.396350f;	val_dir[11200*3 + 1] = -0.020861f;	val_dir[11200*3 + 2] = -0.917863f;
 	val_dir[11201*3 + 0] = 0.413803f;	val_dir[11201*3 + 1] = 0.0f;	val_dir[11201*3 + 2] = -0.910366f;
 	val_dir[11202*3 + 0] = 0.447112f;	val_dir[11202*3 + 1] = 0.021291f;	val_dir[11202*3 + 2] = -0.894224f;
 	val_dir[11203*3 + 0] = 0.481457f;	val_dir[11203*3 + 1] = 0.043769f;	val_dir[11203*3 + 2] = -0.875376f;
 	val_dir[11204*3 + 0] = 0.516626f;	val_dir[11204*3 + 1] = 0.067386f;	val_dir[11204*3 + 2] = -0.853556f;
 	val_dir[11205*3 + 0] = 0.552345f;	val_dir[11205*3 + 1] = 0.092057f;	val_dir[11205*3 + 2] = -0.828517f;
 	val_dir[11206*3 + 0] = 0.588276f;	val_dir[11206*3 + 1] = 0.117655f;	val_dir[11206*3 + 2] = -0.800055f;
 	val_dir[11207*3 + 0] = 0.624020f;	val_dir[11207*3 + 1] = 0.144005f;	val_dir[11207*3 + 2] = -0.768025f;
 	val_dir[11208*3 + 0] = 0.659125f;	val_dir[11208*3 + 1] = 0.170884f;	val_dir[11208*3 + 2] = -0.732361f;
 	val_dir[11209*3 + 0] = 0.693103f;	val_dir[11209*3 + 1] = 0.198030f;	val_dir[11209*3 + 2] = -0.693103f;
 	val_dir[11210*3 + 0] = 0.725454f;	val_dir[11210*3 + 1] = 0.225141f;	val_dir[11210*3 + 2] = -0.650407f;
 	val_dir[11211*3 + 0] = 0.755689f;	val_dir[11211*3 + 1] = 0.251896f;	val_dir[11211*3 + 2] = -0.604551f;
 	val_dir[11212*3 + 0] = 0.783368f;	val_dir[11212*3 + 1] = 0.277969f;	val_dir[11212*3 + 2] = -0.555939f;
 	val_dir[11213*3 + 0] = 0.808122f;	val_dir[11213*3 + 1] = 0.303046f;	val_dir[11213*3 + 2] = -0.505076f;
 	val_dir[11214*3 + 0] = 0.829680f;	val_dir[11214*3 + 1] = 0.326844f;	val_dir[11214*3 + 2] = -0.452553f;
 	val_dir[11215*3 + 0] = 0.847883f;	val_dir[11215*3 + 1] = 0.349128f;	val_dir[11215*3 + 2] = -0.399004f;
 	val_dir[11216*3 + 0] = 0.862687f;	val_dir[11216*3 + 1] = 0.369723f;	val_dir[11216*3 + 2] = -0.345075f;
 	val_dir[11217*3 + 0] = 0.874157f;	val_dir[11217*3 + 1] = 0.388514f;	val_dir[11217*3 + 2] = -0.291386f;
 	val_dir[11218*3 + 0] = 0.882454f;	val_dir[11218*3 + 1] = 0.405452f;	val_dir[11218*3 + 2] = -0.238501f;
 	val_dir[11219*3 + 0] = 0.887812f;	val_dir[11219*3 + 1] = 0.420542f;	val_dir[11219*3 + 2] = -0.186908f;
 	val_dir[11220*3 + 0] = 0.890513f;	val_dir[11220*3 + 1] = 0.433840f;	val_dir[11220*3 + 2] = -0.137002f;
 	val_dir[11221*3 + 0] = 0.890871f;	val_dir[11221*3 + 1] = 0.445435f;	val_dir[11221*3 + 2] = -0.089087f;
 	val_dir[11222*3 + 0] = 0.889206f;	val_dir[11222*3 + 1] = 0.455447f;	val_dir[11222*3 + 2] = -0.043376f;
 	val_dir[11223*3 + 0] = 0.885832f;	val_dir[11223*3 + 1] = 0.464007f;	val_dir[11223*3 + 2] = 0.0f;
 	val_dir[11224*3 + 0] = -0.472709f;	val_dir[11224*3 + 1] = -0.880957f;	val_dir[11224*3 + 2] = -0.021487f;
 	val_dir[11225*3 + 0] = -0.463812f;	val_dir[11225*3 + 1] = -0.883452f;	val_dir[11225*3 + 2] = -0.066259f;
 	val_dir[11226*3 + 0] = -0.453376f;	val_dir[11226*3 + 1] = -0.884083f;	val_dir[11226*3 + 2] = -0.113344f;
 	val_dir[11227*3 + 0] = -0.441264f;	val_dir[11227*3 + 1] = -0.882528f;	val_dir[11227*3 + 2] = -0.162571f;
 	val_dir[11228*3 + 0] = -0.427362f;	val_dir[11228*3 + 1] = -0.878466f;	val_dir[11228*3 + 2] = -0.213681f;
 	val_dir[11229*3 + 0] = -0.411585f;	val_dir[11229*3 + 1] = -0.871592f;	val_dir[11229*3 + 2] = -0.266320f;
 	val_dir[11230*3 + 0] = -0.393893f;	val_dir[11230*3 + 1] = -0.861640f;	val_dir[11230*3 + 2] = -0.320038f;
 	val_dir[11231*3 + 0] = -0.374299f;	val_dir[11231*3 + 1] = -0.848411f;	val_dir[11231*3 + 2] = -0.374299f;
 	val_dir[11232*3 + 0] = -0.352879f;	val_dir[11232*3 + 1] = -0.831786f;	val_dir[11232*3 + 2] = -0.428496f;
 	val_dir[11233*3 + 0] = -0.329775f;	val_dir[11233*3 + 1] = -0.811754f;	val_dir[11233*3 + 2] = -0.481979f;
 	val_dir[11234*3 + 0] = -0.305194f;	val_dir[11234*3 + 1] = -0.788419f;	val_dir[11234*3 + 2] = -0.534090f;
 	val_dir[11235*3 + 0] = -0.27940f;	val_dir[11235*3 + 1] = -0.762001f;	val_dir[11235*3 + 2] = -0.584201f;
 	val_dir[11236*3 + 0] = -0.252699f;	val_dir[11236*3 + 1] = -0.732828f;	val_dir[11236*3 + 2] = -0.631748f;
 	val_dir[11237*3 + 0] = -0.225423f;	val_dir[11237*3 + 1] = -0.701316f;	val_dir[11237*3 + 2] = -0.676269f;
 	val_dir[11238*3 + 0] = -0.197908f;	val_dir[11238*3 + 1] = -0.667940f;	val_dir[11238*3 + 2] = -0.717418f;
 	val_dir[11239*3 + 0] = -0.170478f;	val_dir[11239*3 + 1] = -0.633205f;	val_dir[11239*3 + 2] = -0.754976f;
 	val_dir[11240*3 + 0] = -0.143427f;	val_dir[11240*3 + 1] = -0.597614f;	val_dir[11240*3 + 2] = -0.788851f;
 	val_dir[11241*3 + 0] = -0.117009f;	val_dir[11241*3 + 1] = -0.561644f;	val_dir[11241*3 + 2] = -0.819064f;
 	val_dir[11242*3 + 0] = -0.091430f;	val_dir[11242*3 + 1] = -0.525723f;	val_dir[11242*3 + 2] = -0.845728f;
 	val_dir[11243*3 + 0] = -0.066848f;	val_dir[11243*3 + 1] = -0.490222f;	val_dir[11243*3 + 2] = -0.869030f;
 	val_dir[11244*3 + 0] = -0.043376f;	val_dir[11244*3 + 1] = -0.455447f;	val_dir[11244*3 + 2] = -0.889206f;
 	val_dir[11245*3 + 0] = -0.021082f;	val_dir[11245*3 + 1] = -0.421637f;	val_dir[11245*3 + 2] = -0.906520f;
 	val_dir[11246*3 + 0] = 0.0f;	val_dir[11246*3 + 1] = -0.388972f;	val_dir[11246*3 + 2] = -0.921250f;
 	val_dir[11247*3 + 0] = 0.020628f;	val_dir[11247*3 + 1] = -0.371312f;	val_dir[11247*3 + 2] = -0.928279f;
 	val_dir[11248*3 + 0] = 0.041541f;	val_dir[11248*3 + 1] = -0.353096f;	val_dir[11248*3 + 2] = -0.934665f;
 	val_dir[11249*3 + 0] = 0.062691f;	val_dir[11249*3 + 1] = -0.334351f;	val_dir[11249*3 + 2] = -0.940361f;
 	val_dir[11250*3 + 0] = 0.084029f;	val_dir[11250*3 + 1] = -0.315109f;	val_dir[11250*3 + 2] = -0.945328f;
 	val_dir[11251*3 + 0] = 0.105503f;	val_dir[11251*3 + 1] = -0.295409f;	val_dir[11251*3 + 2] = -0.949528f;
 	val_dir[11252*3 + 0] = 0.127057f;	val_dir[11252*3 + 1] = -0.275290f;	val_dir[11252*3 + 2] = -0.952928f;
 	val_dir[11253*3 + 0] = 0.148634f;	val_dir[11253*3 + 1] = -0.254801f;	val_dir[11253*3 + 2] = -0.955502f;
 	val_dir[11254*3 + 0] = 0.170174f;	val_dir[11254*3 + 1] = -0.233990f;	val_dir[11254*3 + 2] = -0.957230f;
 	val_dir[11255*3 + 0] = 0.191620f;	val_dir[11255*3 + 1] = -0.212911f;	val_dir[11255*3 + 2] = -0.958098f;
 	val_dir[11256*3 + 0] = 0.212911f;	val_dir[11256*3 + 1] = -0.191620f;	val_dir[11256*3 + 2] = -0.958098f;
 	val_dir[11257*3 + 0] = 0.233990f;	val_dir[11257*3 + 1] = -0.170174f;	val_dir[11257*3 + 2] = -0.957230f;
 	val_dir[11258*3 + 0] = 0.254801f;	val_dir[11258*3 + 1] = -0.148634f;	val_dir[11258*3 + 2] = -0.955502f;
 	val_dir[11259*3 + 0] = 0.275290f;	val_dir[11259*3 + 1] = -0.127057f;	val_dir[11259*3 + 2] = -0.952928f;
 	val_dir[11260*3 + 0] = 0.295409f;	val_dir[11260*3 + 1] = -0.105503f;	val_dir[11260*3 + 2] = -0.949528f;
 	val_dir[11261*3 + 0] = 0.315109f;	val_dir[11261*3 + 1] = -0.084029f;	val_dir[11261*3 + 2] = -0.945328f;
 	val_dir[11262*3 + 0] = 0.334351f;	val_dir[11262*3 + 1] = -0.062691f;	val_dir[11262*3 + 2] = -0.940361f;
 	val_dir[11263*3 + 0] = 0.353096f;	val_dir[11263*3 + 1] = -0.041541f;	val_dir[11263*3 + 2] = -0.934665f;
 	val_dir[11264*3 + 0] = 0.371312f;	val_dir[11264*3 + 1] = -0.020628f;	val_dir[11264*3 + 2] = -0.928279f;
 	val_dir[11265*3 + 0] = 0.388972f;	val_dir[11265*3 + 1] = 0.0f;	val_dir[11265*3 + 2] = -0.921250f;
 	val_dir[11266*3 + 0] = 0.421637f;	val_dir[11266*3 + 1] = 0.021082f;	val_dir[11266*3 + 2] = -0.906520f;
 	val_dir[11267*3 + 0] = 0.455447f;	val_dir[11267*3 + 1] = 0.043376f;	val_dir[11267*3 + 2] = -0.889206f;
 	val_dir[11268*3 + 0] = 0.490222f;	val_dir[11268*3 + 1] = 0.066848f;	val_dir[11268*3 + 2] = -0.869030f;
 	val_dir[11269*3 + 0] = 0.525723f;	val_dir[11269*3 + 1] = 0.091430f;	val_dir[11269*3 + 2] = -0.845728f;
 	val_dir[11270*3 + 0] = 0.561644f;	val_dir[11270*3 + 1] = 0.117009f;	val_dir[11270*3 + 2] = -0.819064f;
 	val_dir[11271*3 + 0] = 0.597614f;	val_dir[11271*3 + 1] = 0.143427f;	val_dir[11271*3 + 2] = -0.788851f;
 	val_dir[11272*3 + 0] = 0.633205f;	val_dir[11272*3 + 1] = 0.170478f;	val_dir[11272*3 + 2] = -0.754976f;
 	val_dir[11273*3 + 0] = 0.667940f;	val_dir[11273*3 + 1] = 0.197908f;	val_dir[11273*3 + 2] = -0.717418f;
 	val_dir[11274*3 + 0] = 0.701316f;	val_dir[11274*3 + 1] = 0.225423f;	val_dir[11274*3 + 2] = -0.676269f;
 	val_dir[11275*3 + 0] = 0.732828f;	val_dir[11275*3 + 1] = 0.252699f;	val_dir[11275*3 + 2] = -0.631748f;
 	val_dir[11276*3 + 0] = 0.762001f;	val_dir[11276*3 + 1] = 0.27940f;	val_dir[11276*3 + 2] = -0.584201f;
 	val_dir[11277*3 + 0] = 0.788419f;	val_dir[11277*3 + 1] = 0.305194f;	val_dir[11277*3 + 2] = -0.534090f;
 	val_dir[11278*3 + 0] = 0.811754f;	val_dir[11278*3 + 1] = 0.329775f;	val_dir[11278*3 + 2] = -0.481979f;
 	val_dir[11279*3 + 0] = 0.831786f;	val_dir[11279*3 + 1] = 0.352879f;	val_dir[11279*3 + 2] = -0.428496f;
 	val_dir[11280*3 + 0] = 0.848411f;	val_dir[11280*3 + 1] = 0.374299f;	val_dir[11280*3 + 2] = -0.374299f;
 	val_dir[11281*3 + 0] = 0.861640f;	val_dir[11281*3 + 1] = 0.393893f;	val_dir[11281*3 + 2] = -0.320038f;
 	val_dir[11282*3 + 0] = 0.871592f;	val_dir[11282*3 + 1] = 0.411585f;	val_dir[11282*3 + 2] = -0.266320f;
 	val_dir[11283*3 + 0] = 0.878466f;	val_dir[11283*3 + 1] = 0.427362f;	val_dir[11283*3 + 2] = -0.213681f;
 	val_dir[11284*3 + 0] = 0.882528f;	val_dir[11284*3 + 1] = 0.441264f;	val_dir[11284*3 + 2] = -0.162571f;
 	val_dir[11285*3 + 0] = 0.884083f;	val_dir[11285*3 + 1] = 0.453376f;	val_dir[11285*3 + 2] = -0.113344f;
 	val_dir[11286*3 + 0] = 0.883452f;	val_dir[11286*3 + 1] = 0.463812f;	val_dir[11286*3 + 2] = -0.066259f;
 	val_dir[11287*3 + 0] = 0.880957f;	val_dir[11287*3 + 1] = 0.472709f;	val_dir[11287*3 + 2] = -0.021487f;
 	val_dir[11288*3 + 0] = -0.489251f;	val_dir[11288*3 + 1] = -0.872143f;	val_dir[11288*3 + 2] = 0.0f;
 	val_dir[11289*3 + 0] = -0.481457f;	val_dir[11289*3 + 1] = -0.875376f;	val_dir[11289*3 + 2] = -0.043769f;
 	val_dir[11290*3 + 0] = -0.472178f;	val_dir[11290*3 + 1] = -0.876903f;	val_dir[11290*3 + 2] = -0.089939f;
 	val_dir[11291*3 + 0] = -0.461266f;	val_dir[11291*3 + 1] = -0.876405f;	val_dir[11291*3 + 2] = -0.138380f;
 	val_dir[11292*3 + 0] = -0.448583f;	val_dir[11292*3 + 1] = -0.873555f;	val_dir[11292*3 + 2] = -0.188877f;
 	val_dir[11293*3 + 0] = -0.434019f;	val_dir[11293*3 + 1] = -0.868037f;	val_dir[11293*3 + 2] = -0.241121f;
 	val_dir[11294*3 + 0] = -0.41750f;	val_dir[11294*3 + 1] = -0.859559f;	val_dir[11294*3 + 2] = -0.294706f;
 	val_dir[11295*3 + 0] = -0.399004f;	val_dir[11295*3 + 1] = -0.847883f;	val_dir[11295*3 + 2] = -0.349128f;
 	val_dir[11296*3 + 0] = -0.378566f;	val_dir[11296*3 + 1] = -0.832845f;	val_dir[11296*3 + 2] = -0.403804f;
 	val_dir[11297*3 + 0] = -0.356291f;	val_dir[11297*3 + 1] = -0.814379f;	val_dir[11297*3 + 2] = -0.458088f;
 	val_dir[11298*3 + 0] = -0.332352f;	val_dir[11298*3 + 1] = -0.792530f;	val_dir[11298*3 + 2] = -0.511310f;
 	val_dir[11299*3 + 0] = -0.306987f;	val_dir[11299*3 + 1] = -0.767467f;	val_dir[11299*3 + 2] = -0.562809f;
 	val_dir[11300*3 + 0] = -0.280488f;	val_dir[11300*3 + 1] = -0.739469f;	val_dir[11300*3 + 2] = -0.611974f;
 	val_dir[11301*3 + 0] = -0.253185f;	val_dir[11301*3 + 1] = -0.708918f;	val_dir[11301*3 + 2] = -0.658281f;
 	val_dir[11302*3 + 0] = -0.225423f;	val_dir[11302*3 + 1] = -0.676269f;	val_dir[11302*3 + 2] = -0.701316f;
 	val_dir[11303*3 + 0] = -0.197546f;	val_dir[11303*3 + 1] = -0.642024f;	val_dir[11303*3 + 2] = -0.740797f;
 	val_dir[11304*3 + 0] = -0.169875f;	val_dir[11304*3 + 1] = -0.606696f;	val_dir[11304*3 + 2] = -0.776571f;
 	val_dir[11305*3 + 0] = -0.142695f;	val_dir[11305*3 + 1] = -0.570782f;	val_dir[11305*3 + 2] = -0.808608f;
 	val_dir[11306*3 + 0] = -0.116248f;	val_dir[11306*3 + 1] = -0.534739f;	val_dir[11306*3 + 2] = -0.836983f;
 	val_dir[11307*3 + 0] = -0.090722f;	val_dir[11307*3 + 1] = -0.498970f;	val_dir[11307*3 + 2] = -0.861857f;
 	val_dir[11308*3 + 0] = -0.066259f;	val_dir[11308*3 + 1] = -0.463812f;	val_dir[11308*3 + 2] = -0.883452f;
 	val_dir[11309*3 + 0] = -0.042954f;	val_dir[11309*3 + 1] = -0.429537f;	val_dir[11309*3 + 2] = -0.902027f;
 	val_dir[11310*3 + 0] = -0.020861f;	val_dir[11310*3 + 1] = -0.396350f;	val_dir[11310*3 + 2] = -0.917863f;
 	val_dir[11311*3 + 0] = 0.0f;	val_dir[11311*3 + 1] = -0.364399f;	val_dir[11311*3 + 2] = -0.931243f;
 	val_dir[11312*3 + 0] = 0.020387f;	val_dir[11312*3 + 1] = -0.346578f;	val_dir[11312*3 + 2] = -0.93780f;
 	val_dir[11313*3 + 0] = 0.041030f;	val_dir[11313*3 + 1] = -0.328244f;	val_dir[11313*3 + 2] = -0.943701f;
 	val_dir[11314*3 + 0] = 0.061885f;	val_dir[11314*3 + 1] = -0.309426f;	val_dir[11314*3 + 2] = -0.948908f;
 	val_dir[11315*3 + 0] = 0.082903f;	val_dir[11315*3 + 1] = -0.290159f;	val_dir[11315*3 + 2] = -0.953381f;
 	val_dir[11316*3 + 0] = 0.104031f;	val_dir[11316*3 + 1] = -0.270481f;	val_dir[11316*3 + 2] = -0.957088f;
 	val_dir[11317*3 + 0] = 0.125218f;	val_dir[11317*3 + 1] = -0.250435f;	val_dir[11317*3 + 2] = -0.960001f;
 	val_dir[11318*3 + 0] = 0.146406f;	val_dir[11318*3 + 1] = -0.230067f;	val_dir[11318*3 + 2] = -0.962099f;
 	val_dir[11319*3 + 0] = 0.167542f;	val_dir[11319*3 + 1] = -0.209427f;	val_dir[11319*3 + 2] = -0.963364f;
 	val_dir[11320*3 + 0] = 0.188567f;	val_dir[11320*3 + 1] = -0.188567f;	val_dir[11320*3 + 2] = -0.963787f;
 	val_dir[11321*3 + 0] = 0.209427f;	val_dir[11321*3 + 1] = -0.167542f;	val_dir[11321*3 + 2] = -0.963364f;
 	val_dir[11322*3 + 0] = 0.230067f;	val_dir[11322*3 + 1] = -0.146406f;	val_dir[11322*3 + 2] = -0.962099f;
 	val_dir[11323*3 + 0] = 0.250435f;	val_dir[11323*3 + 1] = -0.125218f;	val_dir[11323*3 + 2] = -0.960001f;
 	val_dir[11324*3 + 0] = 0.270481f;	val_dir[11324*3 + 1] = -0.104031f;	val_dir[11324*3 + 2] = -0.957088f;
 	val_dir[11325*3 + 0] = 0.290159f;	val_dir[11325*3 + 1] = -0.082903f;	val_dir[11325*3 + 2] = -0.953381f;
 	val_dir[11326*3 + 0] = 0.309426f;	val_dir[11326*3 + 1] = -0.061885f;	val_dir[11326*3 + 2] = -0.948908f;
 	val_dir[11327*3 + 0] = 0.328244f;	val_dir[11327*3 + 1] = -0.041030f;	val_dir[11327*3 + 2] = -0.943701f;
 	val_dir[11328*3 + 0] = 0.346578f;	val_dir[11328*3 + 1] = -0.020387f;	val_dir[11328*3 + 2] = -0.93780f;
 	val_dir[11329*3 + 0] = 0.364399f;	val_dir[11329*3 + 1] = 0.0f;	val_dir[11329*3 + 2] = -0.931243f;
 	val_dir[11330*3 + 0] = 0.396350f;	val_dir[11330*3 + 1] = 0.020861f;	val_dir[11330*3 + 2] = -0.917863f;
 	val_dir[11331*3 + 0] = 0.429537f;	val_dir[11331*3 + 1] = 0.042954f;	val_dir[11331*3 + 2] = -0.902027f;
 	val_dir[11332*3 + 0] = 0.463812f;	val_dir[11332*3 + 1] = 0.066259f;	val_dir[11332*3 + 2] = -0.883452f;
 	val_dir[11333*3 + 0] = 0.498970f;	val_dir[11333*3 + 1] = 0.090722f;	val_dir[11333*3 + 2] = -0.861857f;
 	val_dir[11334*3 + 0] = 0.534739f;	val_dir[11334*3 + 1] = 0.116248f;	val_dir[11334*3 + 2] = -0.836983f;
 	val_dir[11335*3 + 0] = 0.570782f;	val_dir[11335*3 + 1] = 0.142695f;	val_dir[11335*3 + 2] = -0.808608f;
 	val_dir[11336*3 + 0] = 0.606696f;	val_dir[11336*3 + 1] = 0.169875f;	val_dir[11336*3 + 2] = -0.776571f;
 	val_dir[11337*3 + 0] = 0.642024f;	val_dir[11337*3 + 1] = 0.197546f;	val_dir[11337*3 + 2] = -0.740797f;
 	val_dir[11338*3 + 0] = 0.676269f;	val_dir[11338*3 + 1] = 0.225423f;	val_dir[11338*3 + 2] = -0.701316f;
 	val_dir[11339*3 + 0] = 0.708918f;	val_dir[11339*3 + 1] = 0.253185f;	val_dir[11339*3 + 2] = -0.658281f;
 	val_dir[11340*3 + 0] = 0.739469f;	val_dir[11340*3 + 1] = 0.280488f;	val_dir[11340*3 + 2] = -0.611974f;
 	val_dir[11341*3 + 0] = 0.767467f;	val_dir[11341*3 + 1] = 0.306987f;	val_dir[11341*3 + 2] = -0.562809f;
 	val_dir[11342*3 + 0] = 0.792530f;	val_dir[11342*3 + 1] = 0.332352f;	val_dir[11342*3 + 2] = -0.511310f;
 	val_dir[11343*3 + 0] = 0.814379f;	val_dir[11343*3 + 1] = 0.356291f;	val_dir[11343*3 + 2] = -0.458088f;
 	val_dir[11344*3 + 0] = 0.832845f;	val_dir[11344*3 + 1] = 0.378566f;	val_dir[11344*3 + 2] = -0.403804f;
 	val_dir[11345*3 + 0] = 0.847883f;	val_dir[11345*3 + 1] = 0.399004f;	val_dir[11345*3 + 2] = -0.349128f;
 	val_dir[11346*3 + 0] = 0.859559f;	val_dir[11346*3 + 1] = 0.41750f;	val_dir[11346*3 + 2] = -0.294706f;
 	val_dir[11347*3 + 0] = 0.868037f;	val_dir[11347*3 + 1] = 0.434019f;	val_dir[11347*3 + 2] = -0.241121f;
 	val_dir[11348*3 + 0] = 0.873555f;	val_dir[11348*3 + 1] = 0.448583f;	val_dir[11348*3 + 2] = -0.188877f;
 	val_dir[11349*3 + 0] = 0.876405f;	val_dir[11349*3 + 1] = 0.461266f;	val_dir[11349*3 + 2] = -0.138380f;
 	val_dir[11350*3 + 0] = 0.876903f;	val_dir[11350*3 + 1] = 0.472178f;	val_dir[11350*3 + 2] = -0.089939f;
 	val_dir[11351*3 + 0] = 0.875376f;	val_dir[11351*3 + 1] = 0.481457f;	val_dir[11351*3 + 2] = -0.043769f;
 	val_dir[11352*3 + 0] = 0.872143f;	val_dir[11352*3 + 1] = 0.489251f;	val_dir[11352*3 + 2] = 0.0f;
 	val_dir[11353*3 + 0] = -0.498354f;	val_dir[11353*3 + 1] = -0.866703f;	val_dir[11353*3 + 2] = -0.021668f;
 	val_dir[11354*3 + 0] = -0.490222f;	val_dir[11354*3 + 1] = -0.869030f;	val_dir[11354*3 + 2] = -0.066848f;
 	val_dir[11355*3 + 0] = -0.480510f;	val_dir[11355*3 + 1] = -0.869495f;	val_dir[11355*3 + 2] = -0.114407f;
 	val_dir[11356*3 + 0] = -0.469065f;	val_dir[11356*3 + 1] = -0.867770f;	val_dir[11356*3 + 2] = -0.164173f;
 	val_dir[11357*3 + 0] = -0.455752f;	val_dir[11357*3 + 1] = -0.863530f;	val_dir[11357*3 + 2] = -0.215883f;
 	val_dir[11358*3 + 0] = -0.440468f;	val_dir[11358*3 + 1] = -0.856465f;	val_dir[11358*3 + 2] = -0.269175f;
 	val_dir[11359*3 + 0] = -0.423153f;	val_dir[11359*3 + 1] = -0.846305f;	val_dir[11359*3 + 2] = -0.323587f;
 	val_dir[11360*3 + 0] = -0.403804f;	val_dir[11360*3 + 1] = -0.832845f;	val_dir[11360*3 + 2] = -0.378566f;
 	val_dir[11361*3 + 0] = -0.382484f;	val_dir[11361*3 + 1] = -0.815966f;	val_dir[11361*3 + 2] = -0.433482f;
 	val_dir[11362*3 + 0] = -0.359329f;	val_dir[11362*3 + 1] = -0.795657f;	val_dir[11362*3 + 2] = -0.487661f;
 	val_dir[11363*3 + 0] = -0.334545f;	val_dir[11363*3 + 1] = -0.772027f;	val_dir[11363*3 + 2] = -0.540419f;
 	val_dir[11364*3 + 0] = -0.308403f;	val_dir[11364*3 + 1] = -0.745307f;	val_dir[11364*3 + 2] = -0.591105f;
 	val_dir[11365*3 + 0] = -0.281220f;	val_dir[11365*3 + 1] = -0.715834f;	val_dir[11365*3 + 2] = -0.639138f;
 	val_dir[11366*3 + 0] = -0.253347f;	val_dir[11366*3 + 1] = -0.684038f;	val_dir[11366*3 + 2] = -0.684038f;
 	val_dir[11367*3 + 0] = -0.225141f;	val_dir[11367*3 + 1] = -0.650407f;	val_dir[11367*3 + 2] = -0.725454f;
 	val_dir[11368*3 + 0] = -0.196946f;	val_dir[11368*3 + 1] = -0.615457f;	val_dir[11368*3 + 2] = -0.763167f;
 	val_dir[11369*3 + 0] = -0.169080f;	val_dir[11369*3 + 1] = -0.579703f;	val_dir[11369*3 + 2] = -0.797092f;
 	val_dir[11370*3 + 0] = -0.141816f;	val_dir[11370*3 + 1] = -0.543627f;	val_dir[11370*3 + 2] = -0.827259f;
 	val_dir[11371*3 + 0] = -0.115378f;	val_dir[11371*3 + 1] = -0.507662f;	val_dir[11371*3 + 2] = -0.853796f;
 	val_dir[11372*3 + 0] = -0.089939f;	val_dir[11372*3 + 1] = -0.472178f;	val_dir[11372*3 + 2] = -0.876903f;
 	val_dir[11373*3 + 0] = -0.065622f;	val_dir[11373*3 + 1] = -0.437479f;	val_dir[11373*3 + 2] = -0.896831f;
 	val_dir[11374*3 + 0] = -0.042505f;	val_dir[11374*3 + 1] = -0.403799f;	val_dir[11374*3 + 2] = -0.913860f;
 	val_dir[11375*3 + 0] = -0.020628f;	val_dir[11375*3 + 1] = -0.371312f;	val_dir[11375*3 + 2] = -0.928279f;
 	val_dir[11376*3 + 0] = 0.0f;	val_dir[11376*3 + 1] = -0.340136f;	val_dir[11376*3 + 2] = -0.940376f;
 	val_dir[11377*3 + 0] = 0.020137f;	val_dir[11377*3 + 1] = -0.322198f;	val_dir[11377*3 + 2] = -0.946458f;
 	val_dir[11378*3 + 0] = 0.040505f;	val_dir[11378*3 + 1] = -0.303791f;	val_dir[11378*3 + 2] = -0.951877f;
 	val_dir[11379*3 + 0] = 0.061059f;	val_dir[11379*3 + 1] = -0.284944f;	val_dir[11379*3 + 2] = -0.956597f;
 	val_dir[11380*3 + 0] = 0.081752f;	val_dir[11380*3 + 1] = -0.265694f;	val_dir[11380*3 + 2] = -0.960585f;
 	val_dir[11381*3 + 0] = 0.102533f;	val_dir[11381*3 + 1] = -0.246079f;	val_dir[11381*3 + 2] = -0.963811f;
 	val_dir[11382*3 + 0] = 0.123351f;	val_dir[11382*3 + 1] = -0.226144f;	val_dir[11382*3 + 2] = -0.966252f;
 	val_dir[11383*3 + 0] = 0.144154f;	val_dir[11383*3 + 1] = -0.205934f;	val_dir[11383*3 + 2] = -0.967890f;
 	val_dir[11384*3 + 0] = 0.164887f;	val_dir[11384*3 + 1] = -0.185498f;	val_dir[11384*3 + 2] = -0.968712f;
 	val_dir[11385*3 + 0] = 0.185498f;	val_dir[11385*3 + 1] = -0.164887f;	val_dir[11385*3 + 2] = -0.968712f;
 	val_dir[11386*3 + 0] = 0.205934f;	val_dir[11386*3 + 1] = -0.144154f;	val_dir[11386*3 + 2] = -0.967890f;
 	val_dir[11387*3 + 0] = 0.226144f;	val_dir[11387*3 + 1] = -0.123351f;	val_dir[11387*3 + 2] = -0.966252f;
 	val_dir[11388*3 + 0] = 0.246079f;	val_dir[11388*3 + 1] = -0.102533f;	val_dir[11388*3 + 2] = -0.963811f;
 	val_dir[11389*3 + 0] = 0.265694f;	val_dir[11389*3 + 1] = -0.081752f;	val_dir[11389*3 + 2] = -0.960585f;
 	val_dir[11390*3 + 0] = 0.284944f;	val_dir[11390*3 + 1] = -0.061059f;	val_dir[11390*3 + 2] = -0.956597f;
 	val_dir[11391*3 + 0] = 0.303791f;	val_dir[11391*3 + 1] = -0.040505f;	val_dir[11391*3 + 2] = -0.951877f;
 	val_dir[11392*3 + 0] = 0.322198f;	val_dir[11392*3 + 1] = -0.020137f;	val_dir[11392*3 + 2] = -0.946458f;
 	val_dir[11393*3 + 0] = 0.340136f;	val_dir[11393*3 + 1] = 0.0f;	val_dir[11393*3 + 2] = -0.940376f;
 	val_dir[11394*3 + 0] = 0.371312f;	val_dir[11394*3 + 1] = 0.020628f;	val_dir[11394*3 + 2] = -0.928279f;
 	val_dir[11395*3 + 0] = 0.403799f;	val_dir[11395*3 + 1] = 0.042505f;	val_dir[11395*3 + 2] = -0.913860f;
 	val_dir[11396*3 + 0] = 0.437479f;	val_dir[11396*3 + 1] = 0.065622f;	val_dir[11396*3 + 2] = -0.896831f;
 	val_dir[11397*3 + 0] = 0.472178f;	val_dir[11397*3 + 1] = 0.089939f;	val_dir[11397*3 + 2] = -0.876903f;
 	val_dir[11398*3 + 0] = 0.507662f;	val_dir[11398*3 + 1] = 0.115378f;	val_dir[11398*3 + 2] = -0.853796f;
 	val_dir[11399*3 + 0] = 0.543627f;	val_dir[11399*3 + 1] = 0.141816f;	val_dir[11399*3 + 2] = -0.827259f;
 	val_dir[11400*3 + 0] = 0.579703f;	val_dir[11400*3 + 1] = 0.169080f;	val_dir[11400*3 + 2] = -0.797092f;
 	val_dir[11401*3 + 0] = 0.615457f;	val_dir[11401*3 + 1] = 0.196946f;	val_dir[11401*3 + 2] = -0.763167f;
 	val_dir[11402*3 + 0] = 0.650407f;	val_dir[11402*3 + 1] = 0.225141f;	val_dir[11402*3 + 2] = -0.725454f;
 	val_dir[11403*3 + 0] = 0.684038f;	val_dir[11403*3 + 1] = 0.253347f;	val_dir[11403*3 + 2] = -0.684038f;
 	val_dir[11404*3 + 0] = 0.715834f;	val_dir[11404*3 + 1] = 0.281220f;	val_dir[11404*3 + 2] = -0.639138f;
 	val_dir[11405*3 + 0] = 0.745307f;	val_dir[11405*3 + 1] = 0.308403f;	val_dir[11405*3 + 2] = -0.591105f;
 	val_dir[11406*3 + 0] = 0.772027f;	val_dir[11406*3 + 1] = 0.334545f;	val_dir[11406*3 + 2] = -0.540419f;
 	val_dir[11407*3 + 0] = 0.795657f;	val_dir[11407*3 + 1] = 0.359329f;	val_dir[11407*3 + 2] = -0.487661f;
 	val_dir[11408*3 + 0] = 0.815966f;	val_dir[11408*3 + 1] = 0.382484f;	val_dir[11408*3 + 2] = -0.433482f;
 	val_dir[11409*3 + 0] = 0.832845f;	val_dir[11409*3 + 1] = 0.403804f;	val_dir[11409*3 + 2] = -0.378566f;
 	val_dir[11410*3 + 0] = 0.846305f;	val_dir[11410*3 + 1] = 0.423153f;	val_dir[11410*3 + 2] = -0.323587f;
 	val_dir[11411*3 + 0] = 0.856465f;	val_dir[11411*3 + 1] = 0.440468f;	val_dir[11411*3 + 2] = -0.269175f;
 	val_dir[11412*3 + 0] = 0.863530f;	val_dir[11412*3 + 1] = 0.455752f;	val_dir[11412*3 + 2] = -0.215883f;
 	val_dir[11413*3 + 0] = 0.867770f;	val_dir[11413*3 + 1] = 0.469065f;	val_dir[11413*3 + 2] = -0.164173f;
 	val_dir[11414*3 + 0] = 0.869495f;	val_dir[11414*3 + 1] = 0.480510f;	val_dir[11414*3 + 2] = -0.114407f;
 	val_dir[11415*3 + 0] = 0.869030f;	val_dir[11415*3 + 1] = 0.490222f;	val_dir[11415*3 + 2] = -0.066848f;
 	val_dir[11416*3 + 0] = 0.866703f;	val_dir[11416*3 + 1] = 0.498354f;	val_dir[11416*3 + 2] = -0.021668f;
 	val_dir[11417*3 + 0] = -0.514496f;	val_dir[11417*3 + 1] = -0.857493f;	val_dir[11417*3 + 2] = 0.0f;
 	val_dir[11418*3 + 0] = -0.507490f;	val_dir[11418*3 + 1] = -0.860527f;	val_dir[11418*3 + 2] = -0.044130f;
 	val_dir[11419*3 + 0] = -0.498970f;	val_dir[11419*3 + 1] = -0.861857f;	val_dir[11419*3 + 2] = -0.090722f;
 	val_dir[11420*3 + 0] = -0.488769f;	val_dir[11420*3 + 1] = -0.861164f;	val_dir[11420*3 + 2] = -0.139648f;
 	val_dir[11421*3 + 0] = -0.476731f;	val_dir[11421*3 + 1] = -0.858116f;	val_dir[11421*3 + 2] = -0.190693f;
 	val_dir[11422*3 + 0] = -0.462727f;	val_dir[11422*3 + 1] = -0.852392f;	val_dir[11422*3 + 2] = -0.243541f;
 	val_dir[11423*3 + 0] = -0.446662f;	val_dir[11423*3 + 1] = -0.843696f;	val_dir[11423*3 + 2] = -0.297775f;
 	val_dir[11424*3 + 0] = -0.428496f;	val_dir[11424*3 + 1] = -0.831786f;	val_dir[11424*3 + 2] = -0.352879f;
 	val_dir[11425*3 + 0] = -0.408248f;	val_dir[11425*3 + 1] = -0.816497f;	val_dir[11425*3 + 2] = -0.408248f;
 	val_dir[11426*3 + 0] = -0.386014f;	val_dir[11426*3 + 1] = -0.797762f;	val_dir[11426*3 + 2] = -0.463217f;
 	val_dir[11427*3 + 0] = -0.361961f;	val_dir[11427*3 + 1] = -0.775632f;	val_dir[11427*3 + 2] = -0.517088f;
 	val_dir[11428*3 + 0] = -0.336332f;	val_dir[11428*3 + 1] = -0.750279f;	val_dir[11428*3 + 2] = -0.569177f;
 	val_dir[11429*3 + 0] = -0.309426f;	val_dir[11429*3 + 1] = -0.721995f;	val_dir[11429*3 + 2] = -0.618853f;
 	val_dir[11430*3 + 0] = -0.281589f;	val_dir[11430*3 + 1] = -0.691173f;	val_dir[11430*3 + 2] = -0.665574f;
 	val_dir[11431*3 + 0] = -0.253185f;	val_dir[11431*3 + 1] = -0.658281f;	val_dir[11431*3 + 2] = -0.708918f;
 	val_dir[11432*3 + 0] = -0.224579f;	val_dir[11432*3 + 1] = -0.623831f;	val_dir[11432*3 + 2] = -0.748598f;
 	val_dir[11433*3 + 0] = -0.196116f;	val_dir[11433*3 + 1] = -0.588348f;	val_dir[11433*3 + 2] = -0.784465f;
 	val_dir[11434*3 + 0] = -0.168102f;	val_dir[11434*3 + 1] = -0.552336f;	val_dir[11434*3 + 2] = -0.816497f;
 	val_dir[11435*3 + 0] = -0.140797f;	val_dir[11435*3 + 1] = -0.516256f;	val_dir[11435*3 + 2] = -0.844782f;
 	val_dir[11436*3 + 0] = -0.114407f;	val_dir[11436*3 + 1] = -0.480510f;	val_dir[11436*3 + 2] = -0.869495f;
 	val_dir[11437*3 + 0] = -0.089087f;	val_dir[11437*3 + 1] = -0.445435f;	val_dir[11437*3 + 2] = -0.890871f;
 	val_dir[11438*3 + 0] = -0.064942f;	val_dir[11438*3 + 1] = -0.411298f;	val_dir[11438*3 + 2] = -0.909185f;
 	val_dir[11439*3 + 0] = -0.042033f;	val_dir[11439*3 + 1] = -0.378298f;	val_dir[11439*3 + 2] = -0.924729f;
 	val_dir[11440*3 + 0] = -0.020387f;	val_dir[11440*3 + 1] = -0.346578f;	val_dir[11440*3 + 2] = -0.93780f;
 	val_dir[11441*3 + 0] = 0.0f;	val_dir[11441*3 + 1] = -0.316228f;	val_dir[11441*3 + 2] = -0.948683f;
 	val_dir[11442*3 + 0] = 0.019881f;	val_dir[11442*3 + 1] = -0.298216f;	val_dir[11442*3 + 2] = -0.954291f;
 	val_dir[11443*3 + 0] = 0.039968f;	val_dir[11443*3 + 1] = -0.279776f;	val_dir[11443*3 + 2] = -0.959233f;
 	val_dir[11444*3 + 0] = 0.060217f;	val_dir[11444*3 + 1] = -0.260941f;	val_dir[11444*3 + 2] = -0.963475f;
 	val_dir[11445*3 + 0] = 0.080582f;	val_dir[11445*3 + 1] = -0.241747f;	val_dir[11445*3 + 2] = -0.966988f;
 	val_dir[11446*3 + 0] = 0.101015f;	val_dir[11446*3 + 1] = -0.222234f;	val_dir[11446*3 + 2] = -0.969746f;
 	val_dir[11447*3 + 0] = 0.121466f;	val_dir[11447*3 + 1] = -0.202444f;	val_dir[11447*3 + 2] = -0.971732f;
 	val_dir[11448*3 + 0] = 0.141885f;	val_dir[11448*3 + 1] = -0.182424f;	val_dir[11448*3 + 2] = -0.972929f;
 	val_dir[11449*3 + 0] = 0.162221f;	val_dir[11449*3 + 1] = -0.162221f;	val_dir[11449*3 + 2] = -0.973329f;
 	val_dir[11450*3 + 0] = 0.182424f;	val_dir[11450*3 + 1] = -0.141885f;	val_dir[11450*3 + 2] = -0.972929f;
 	val_dir[11451*3 + 0] = 0.202444f;	val_dir[11451*3 + 1] = -0.121466f;	val_dir[11451*3 + 2] = -0.971732f;
 	val_dir[11452*3 + 0] = 0.222234f;	val_dir[11452*3 + 1] = -0.101015f;	val_dir[11452*3 + 2] = -0.969746f;
 	val_dir[11453*3 + 0] = 0.241747f;	val_dir[11453*3 + 1] = -0.080582f;	val_dir[11453*3 + 2] = -0.966988f;
 	val_dir[11454*3 + 0] = 0.260941f;	val_dir[11454*3 + 1] = -0.060217f;	val_dir[11454*3 + 2] = -0.963475f;
 	val_dir[11455*3 + 0] = 0.279776f;	val_dir[11455*3 + 1] = -0.039968f;	val_dir[11455*3 + 2] = -0.959233f;
 	val_dir[11456*3 + 0] = 0.298216f;	val_dir[11456*3 + 1] = -0.019881f;	val_dir[11456*3 + 2] = -0.954291f;
 	val_dir[11457*3 + 0] = 0.316228f;	val_dir[11457*3 + 1] = 0.0f;	val_dir[11457*3 + 2] = -0.948683f;
 	val_dir[11458*3 + 0] = 0.346578f;	val_dir[11458*3 + 1] = 0.020387f;	val_dir[11458*3 + 2] = -0.93780f;
 	val_dir[11459*3 + 0] = 0.378298f;	val_dir[11459*3 + 1] = 0.042033f;	val_dir[11459*3 + 2] = -0.924729f;
 	val_dir[11460*3 + 0] = 0.411298f;	val_dir[11460*3 + 1] = 0.064942f;	val_dir[11460*3 + 2] = -0.909185f;
 	val_dir[11461*3 + 0] = 0.445435f;	val_dir[11461*3 + 1] = 0.089087f;	val_dir[11461*3 + 2] = -0.890871f;
 	val_dir[11462*3 + 0] = 0.480510f;	val_dir[11462*3 + 1] = 0.114407f;	val_dir[11462*3 + 2] = -0.869495f;
 	val_dir[11463*3 + 0] = 0.516256f;	val_dir[11463*3 + 1] = 0.140797f;	val_dir[11463*3 + 2] = -0.844782f;
 	val_dir[11464*3 + 0] = 0.552336f;	val_dir[11464*3 + 1] = 0.168102f;	val_dir[11464*3 + 2] = -0.816497f;
 	val_dir[11465*3 + 0] = 0.588348f;	val_dir[11465*3 + 1] = 0.196116f;	val_dir[11465*3 + 2] = -0.784465f;
 	val_dir[11466*3 + 0] = 0.623831f;	val_dir[11466*3 + 1] = 0.224579f;	val_dir[11466*3 + 2] = -0.748598f;
 	val_dir[11467*3 + 0] = 0.658281f;	val_dir[11467*3 + 1] = 0.253185f;	val_dir[11467*3 + 2] = -0.708918f;
 	val_dir[11468*3 + 0] = 0.691173f;	val_dir[11468*3 + 1] = 0.281589f;	val_dir[11468*3 + 2] = -0.665574f;
 	val_dir[11469*3 + 0] = 0.721995f;	val_dir[11469*3 + 1] = 0.309426f;	val_dir[11469*3 + 2] = -0.618853f;
 	val_dir[11470*3 + 0] = 0.750279f;	val_dir[11470*3 + 1] = 0.336332f;	val_dir[11470*3 + 2] = -0.569177f;
 	val_dir[11471*3 + 0] = 0.775632f;	val_dir[11471*3 + 1] = 0.361961f;	val_dir[11471*3 + 2] = -0.517088f;
 	val_dir[11472*3 + 0] = 0.797762f;	val_dir[11472*3 + 1] = 0.386014f;	val_dir[11472*3 + 2] = -0.463217f;
 	val_dir[11473*3 + 0] = 0.816497f;	val_dir[11473*3 + 1] = 0.408248f;	val_dir[11473*3 + 2] = -0.408248f;
 	val_dir[11474*3 + 0] = 0.831786f;	val_dir[11474*3 + 1] = 0.428496f;	val_dir[11474*3 + 2] = -0.352879f;
 	val_dir[11475*3 + 0] = 0.843696f;	val_dir[11475*3 + 1] = 0.446662f;	val_dir[11475*3 + 2] = -0.297775f;
 	val_dir[11476*3 + 0] = 0.852392f;	val_dir[11476*3 + 1] = 0.462727f;	val_dir[11476*3 + 2] = -0.243541f;
 	val_dir[11477*3 + 0] = 0.858116f;	val_dir[11477*3 + 1] = 0.476731f;	val_dir[11477*3 + 2] = -0.190693f;
 	val_dir[11478*3 + 0] = 0.861164f;	val_dir[11478*3 + 1] = 0.488769f;	val_dir[11478*3 + 2] = -0.139648f;
 	val_dir[11479*3 + 0] = 0.861857f;	val_dir[11479*3 + 1] = 0.498970f;	val_dir[11479*3 + 2] = -0.090722f;
 	val_dir[11480*3 + 0] = 0.860527f;	val_dir[11480*3 + 1] = 0.507490f;	val_dir[11480*3 + 2] = -0.044130f;
 	val_dir[11481*3 + 0] = 0.857493f;	val_dir[11481*3 + 1] = 0.514496f;	val_dir[11481*3 + 2] = 0.0f;
 	val_dir[11482*3 + 0] = -0.523973f;	val_dir[11482*3 + 1] = -0.851455f;	val_dir[11482*3 + 2] = -0.021832f;
 	val_dir[11483*3 + 0] = -0.516626f;	val_dir[11483*3 + 1] = -0.853556f;	val_dir[11483*3 + 2] = -0.067386f;
 	val_dir[11484*3 + 0] = -0.507662f;	val_dir[11484*3 + 1] = -0.853796f;	val_dir[11484*3 + 2] = -0.115378f;
 	val_dir[11485*3 + 0] = -0.496911f;	val_dir[11485*3 + 1] = -0.851847f;	val_dir[11485*3 + 2] = -0.165637f;
 	val_dir[11486*3 + 0] = -0.484217f;	val_dir[11486*3 + 1] = -0.847381f;	val_dir[11486*3 + 2] = -0.217898f;
 	val_dir[11487*3 + 0] = -0.469458f;	val_dir[11487*3 + 1] = -0.840083f;	val_dir[11487*3 + 2] = -0.271791f;
 	val_dir[11488*3 + 0] = -0.452553f;	val_dir[11488*3 + 1] = -0.829680f;	val_dir[11488*3 + 2] = -0.326844f;
 	val_dir[11489*3 + 0] = -0.433482f;	val_dir[11489*3 + 1] = -0.815966f;	val_dir[11489*3 + 2] = -0.382484f;
 	val_dir[11490*3 + 0] = -0.412294f;	val_dir[11490*3 + 1] = -0.798820f;	val_dir[11490*3 + 2] = -0.438063f;
 	val_dir[11491*3 + 0] = -0.389118f;	val_dir[11491*3 + 1] = -0.778237f;	val_dir[11491*3 + 2] = -0.492883f;
 	val_dir[11492*3 + 0] = -0.364159f;	val_dir[11492*3 + 1] = -0.754329f;	val_dir[11492*3 + 2] = -0.546238f;
 	val_dir[11493*3 + 0] = -0.337691f;	val_dir[11493*3 + 1] = -0.727334f;	val_dir[11493*3 + 2] = -0.597453f;
 	val_dir[11494*3 + 0] = -0.310045f;	val_dir[11494*3 + 1] = -0.697602f;	val_dir[11494*3 + 2] = -0.645928f;
 	val_dir[11495*3 + 0] = -0.281589f;	val_dir[11495*3 + 1] = -0.665574f;	val_dir[11495*3 + 2] = -0.691173f;
 	val_dir[11496*3 + 0] = -0.252699f;	val_dir[11496*3 + 1] = -0.631748f;	val_dir[11496*3 + 2] = -0.732828f;
 	val_dir[11497*3 + 0] = -0.223745f;	val_dir[11497*3 + 1] = -0.596653f;	val_dir[11497*3 + 2] = -0.770677f;
 	val_dir[11498*3 + 0] = -0.195064f;	val_dir[11498*3 + 1] = -0.560809f;	val_dir[11498*3 + 2] = -0.804639f;
 	val_dir[11499*3 + 0] = -0.166951f;	val_dir[11499*3 + 1] = -0.524703f;	val_dir[11499*3 + 2] = -0.834754f;
 	val_dir[11500*3 + 0] = -0.139648f;	val_dir[11500*3 + 1] = -0.488769f;	val_dir[11500*3 + 2] = -0.861164f;
 	val_dir[11501*3 + 0] = -0.113344f;	val_dir[11501*3 + 1] = -0.453376f;	val_dir[11501*3 + 2] = -0.884083f;
 	val_dir[11502*3 + 0] = -0.088173f;	val_dir[11502*3 + 1] = -0.418823f;	val_dir[11502*3 + 2] = -0.903777f;
 	val_dir[11503*3 + 0] = -0.064223f;	val_dir[11503*3 + 1] = -0.385341f;	val_dir[11503*3 + 2] = -0.920537f;
 	val_dir[11504*3 + 0] = -0.041541f;	val_dir[11504*3 + 1] = -0.353096f;	val_dir[11504*3 + 2] = -0.934665f;
 	val_dir[11505*3 + 0] = -0.020137f;	val_dir[11505*3 + 1] = -0.322198f;	val_dir[11505*3 + 2] = -0.946458f;
 	val_dir[11506*3 + 0] = 0.0f;	val_dir[11506*3 + 1] = -0.292714f;	val_dir[11506*3 + 2] = -0.95620f;
 	val_dir[11507*3 + 0] = 0.019619f;	val_dir[11507*3 + 1] = -0.274668f;	val_dir[11507*3 + 2] = -0.961339f;
 	val_dir[11508*3 + 0] = 0.039421f;	val_dir[11508*3 + 1] = -0.256235f;	val_dir[11508*3 + 2] = -0.965810f;
 	val_dir[11509*3 + 0] = 0.059362f;	val_dir[11509*3 + 1] = -0.237449f;	val_dir[11509*3 + 2] = -0.969584f;
 	val_dir[11510*3 + 0] = 0.079399f;	val_dir[11510*3 + 1] = -0.218347f;	val_dir[11510*3 + 2] = -0.972636f;
 	val_dir[11511*3 + 0] = 0.099484f;	val_dir[11511*3 + 1] = -0.198968f;	val_dir[11511*3 + 2] = -0.974943f;
 	val_dir[11512*3 + 0] = 0.119570f;	val_dir[11512*3 + 1] = -0.179355f;	val_dir[11512*3 + 2] = -0.976491f;
 	val_dir[11513*3 + 0] = 0.139610f;	val_dir[11513*3 + 1] = -0.159554f;	val_dir[11513*3 + 2] = -0.977267f;
 	val_dir[11514*3 + 0] = 0.159554f;	val_dir[11514*3 + 1] = -0.139610f;	val_dir[11514*3 + 2] = -0.977267f;
 	val_dir[11515*3 + 0] = 0.179355f;	val_dir[11515*3 + 1] = -0.119570f;	val_dir[11515*3 + 2] = -0.976491f;
 	val_dir[11516*3 + 0] = 0.198968f;	val_dir[11516*3 + 1] = -0.099484f;	val_dir[11516*3 + 2] = -0.974943f;
 	val_dir[11517*3 + 0] = 0.218347f;	val_dir[11517*3 + 1] = -0.079399f;	val_dir[11517*3 + 2] = -0.972636f;
 	val_dir[11518*3 + 0] = 0.237449f;	val_dir[11518*3 + 1] = -0.059362f;	val_dir[11518*3 + 2] = -0.969584f;
 	val_dir[11519*3 + 0] = 0.256235f;	val_dir[11519*3 + 1] = -0.039421f;	val_dir[11519*3 + 2] = -0.965810f;
 	val_dir[11520*3 + 0] = 0.274668f;	val_dir[11520*3 + 1] = -0.019619f;	val_dir[11520*3 + 2] = -0.961339f;
 	val_dir[11521*3 + 0] = 0.292714f;	val_dir[11521*3 + 1] = 0.0f;	val_dir[11521*3 + 2] = -0.95620f;
 	val_dir[11522*3 + 0] = 0.322198f;	val_dir[11522*3 + 1] = 0.020137f;	val_dir[11522*3 + 2] = -0.946458f;
 	val_dir[11523*3 + 0] = 0.353096f;	val_dir[11523*3 + 1] = 0.041541f;	val_dir[11523*3 + 2] = -0.934665f;
 	val_dir[11524*3 + 0] = 0.385341f;	val_dir[11524*3 + 1] = 0.064223f;	val_dir[11524*3 + 2] = -0.920537f;
 	val_dir[11525*3 + 0] = 0.418823f;	val_dir[11525*3 + 1] = 0.088173f;	val_dir[11525*3 + 2] = -0.903777f;
 	val_dir[11526*3 + 0] = 0.453376f;	val_dir[11526*3 + 1] = 0.113344f;	val_dir[11526*3 + 2] = -0.884083f;
 	val_dir[11527*3 + 0] = 0.488769f;	val_dir[11527*3 + 1] = 0.139648f;	val_dir[11527*3 + 2] = -0.861164f;
 	val_dir[11528*3 + 0] = 0.524703f;	val_dir[11528*3 + 1] = 0.166951f;	val_dir[11528*3 + 2] = -0.834754f;
 	val_dir[11529*3 + 0] = 0.560809f;	val_dir[11529*3 + 1] = 0.195064f;	val_dir[11529*3 + 2] = -0.804639f;
 	val_dir[11530*3 + 0] = 0.596653f;	val_dir[11530*3 + 1] = 0.223745f;	val_dir[11530*3 + 2] = -0.770677f;
 	val_dir[11531*3 + 0] = 0.631748f;	val_dir[11531*3 + 1] = 0.252699f;	val_dir[11531*3 + 2] = -0.732828f;
 	val_dir[11532*3 + 0] = 0.665574f;	val_dir[11532*3 + 1] = 0.281589f;	val_dir[11532*3 + 2] = -0.691173f;
 	val_dir[11533*3 + 0] = 0.697602f;	val_dir[11533*3 + 1] = 0.310045f;	val_dir[11533*3 + 2] = -0.645928f;
 	val_dir[11534*3 + 0] = 0.727334f;	val_dir[11534*3 + 1] = 0.337691f;	val_dir[11534*3 + 2] = -0.597453f;
 	val_dir[11535*3 + 0] = 0.754329f;	val_dir[11535*3 + 1] = 0.364159f;	val_dir[11535*3 + 2] = -0.546238f;
 	val_dir[11536*3 + 0] = 0.778237f;	val_dir[11536*3 + 1] = 0.389118f;	val_dir[11536*3 + 2] = -0.492883f;
 	val_dir[11537*3 + 0] = 0.798820f;	val_dir[11537*3 + 1] = 0.412294f;	val_dir[11537*3 + 2] = -0.438063f;
 	val_dir[11538*3 + 0] = 0.815966f;	val_dir[11538*3 + 1] = 0.433482f;	val_dir[11538*3 + 2] = -0.382484f;
 	val_dir[11539*3 + 0] = 0.829680f;	val_dir[11539*3 + 1] = 0.452553f;	val_dir[11539*3 + 2] = -0.326844f;
 	val_dir[11540*3 + 0] = 0.840083f;	val_dir[11540*3 + 1] = 0.469458f;	val_dir[11540*3 + 2] = -0.271791f;
 	val_dir[11541*3 + 0] = 0.847381f;	val_dir[11541*3 + 1] = 0.484217f;	val_dir[11541*3 + 2] = -0.217898f;
 	val_dir[11542*3 + 0] = 0.851847f;	val_dir[11542*3 + 1] = 0.496911f;	val_dir[11542*3 + 2] = -0.165637f;
 	val_dir[11543*3 + 0] = 0.853796f;	val_dir[11543*3 + 1] = 0.507662f;	val_dir[11543*3 + 2] = -0.115378f;
 	val_dir[11544*3 + 0] = 0.853556f;	val_dir[11544*3 + 1] = 0.516626f;	val_dir[11544*3 + 2] = -0.067386f;
 	val_dir[11545*3 + 0] = 0.851455f;	val_dir[11545*3 + 1] = 0.523973f;	val_dir[11545*3 + 2] = -0.021832f;
 	val_dir[11546*3 + 0] = -0.539666f;	val_dir[11546*3 + 1] = -0.841879f;	val_dir[11546*3 + 2] = 0.0f;
 	val_dir[11547*3 + 0] = -0.533465f;	val_dir[11547*3 + 1] = -0.844653f;	val_dir[11547*3 + 2] = -0.044455f;
 	val_dir[11548*3 + 0] = -0.525723f;	val_dir[11548*3 + 1] = -0.845728f;	val_dir[11548*3 + 2] = -0.091430f;
 	val_dir[11549*3 + 0] = -0.516256f;	val_dir[11549*3 + 1] = -0.844782f;	val_dir[11549*3 + 2] = -0.140797f;
 	val_dir[11550*3 + 0] = -0.504889f;	val_dir[11550*3 + 1] = -0.841482f;	val_dir[11550*3 + 2] = -0.192339f;
 	val_dir[11551*3 + 0] = -0.491473f;	val_dir[11551*3 + 1] = -0.835504f;	val_dir[11551*3 + 2] = -0.245737f;
 	val_dir[11552*3 + 0] = -0.475893f;	val_dir[11552*3 + 1] = -0.826551f;	val_dir[11552*3 + 2] = -0.300564f;
 	val_dir[11553*3 + 0] = -0.458088f;	val_dir[11553*3 + 1] = -0.814379f;	val_dir[11553*3 + 2] = -0.356291f;
 	val_dir[11554*3 + 0] = -0.438063f;	val_dir[11554*3 + 1] = -0.798820f;	val_dir[11554*3 + 2] = -0.412294f;
 	val_dir[11555*3 + 0] = -0.41590f;	val_dir[11555*3 + 1] = -0.779813f;	val_dir[11555*3 + 2] = -0.467888f;
 	val_dir[11556*3 + 0] = -0.391764f;	val_dir[11556*3 + 1] = -0.757410f;	val_dir[11556*3 + 2] = -0.522352f;
 	val_dir[11557*3 + 0] = -0.365896f;	val_dir[11557*3 + 1] = -0.731792f;	val_dir[11557*3 + 2] = -0.574979f;
 	val_dir[11558*3 + 0] = -0.338606f;	val_dir[11558*3 + 1] = -0.703259f;	val_dir[11558*3 + 2] = -0.625119f;
 	val_dir[11559*3 + 0] = -0.310253f;	val_dir[11559*3 + 1] = -0.672214f;	val_dir[11559*3 + 2] = -0.672214f;
 	val_dir[11560*3 + 0] = -0.281220f;	val_dir[11560*3 + 1] = -0.639138f;	val_dir[11560*3 + 2] = -0.715834f;
 	val_dir[11561*3 + 0] = -0.251896f;	val_dir[11561*3 + 1] = -0.604551f;	val_dir[11561*3 + 2] = -0.755689f;
 	val_dir[11562*3 + 0] = -0.222647f;	val_dir[11562*3 + 1] = -0.568986f;	val_dir[11562*3 + 2] = -0.791633f;
 	val_dir[11563*3 + 0] = -0.193801f;	val_dir[11563*3 + 1] = -0.532952f;	val_dir[11563*3 + 2] = -0.823653f;
 	val_dir[11564*3 + 0] = -0.165637f;	val_dir[11564*3 + 1] = -0.496911f;	val_dir[11564*3 + 2] = -0.851847f;
 	val_dir[11565*3 + 0] = -0.138380f;	val_dir[11565*3 + 1] = -0.461266f;	val_dir[11565*3 + 2] = -0.876405f;
 	val_dir[11566*3 + 0] = -0.112197f;	val_dir[11566*3 + 1] = -0.426348f;	val_dir[11566*3 + 2] = -0.897574f;
 	val_dir[11567*3 + 0] = -0.087204f;	val_dir[11567*3 + 1] = -0.392419f;	val_dir[11567*3 + 2] = -0.915644f;
 	val_dir[11568*3 + 0] = -0.063472f;	val_dir[11568*3 + 1] = -0.359673f;	val_dir[11568*3 + 2] = -0.930917f;
 	val_dir[11569*3 + 0] = -0.041030f;	val_dir[11569*3 + 1] = -0.328244f;	val_dir[11569*3 + 2] = -0.943701f;
 	val_dir[11570*3 + 0] = -0.019881f;	val_dir[11570*3 + 1] = -0.298216f;	val_dir[11570*3 + 2] = -0.954291f;
 	val_dir[11571*3 + 0] = 0.0f;	val_dir[11571*3 + 1] = -0.269630f;	val_dir[11571*3 + 2] = -0.962964f;
 	val_dir[11572*3 + 0] = 0.019353f;	val_dir[11572*3 + 1] = -0.251587f;	val_dir[11572*3 + 2] = -0.967641f;
 	val_dir[11573*3 + 0] = 0.038866f;	val_dir[11573*3 + 1] = -0.233197f;	val_dir[11573*3 + 2] = -0.971653f;
 	val_dir[11574*3 + 0] = 0.058498f;	val_dir[11574*3 + 1] = -0.214494f;	val_dir[11574*3 + 2] = -0.974972f;
 	val_dir[11575*3 + 0] = 0.078206f;	val_dir[11575*3 + 1] = -0.195515f;	val_dir[11575*3 + 2] = -0.977577f;
 	val_dir[11576*3 + 0] = 0.097945f;	val_dir[11576*3 + 1] = -0.176301f;	val_dir[11576*3 + 2] = -0.979451f;
 	val_dir[11577*3 + 0] = 0.117670f;	val_dir[11577*3 + 1] = -0.156893f;	val_dir[11577*3 + 2] = -0.980581f;
 	val_dir[11578*3 + 0] = 0.137334f;	val_dir[11578*3 + 1] = -0.137334f;	val_dir[11578*3 + 2] = -0.980958f;
 	val_dir[11579*3 + 0] = 0.156893f;	val_dir[11579*3 + 1] = -0.117670f;	val_dir[11579*3 + 2] = -0.980581f;
 	val_dir[11580*3 + 0] = 0.176301f;	val_dir[11580*3 + 1] = -0.097945f;	val_dir[11580*3 + 2] = -0.979451f;
 	val_dir[11581*3 + 0] = 0.195515f;	val_dir[11581*3 + 1] = -0.078206f;	val_dir[11581*3 + 2] = -0.977577f;
 	val_dir[11582*3 + 0] = 0.214494f;	val_dir[11582*3 + 1] = -0.058498f;	val_dir[11582*3 + 2] = -0.974972f;
 	val_dir[11583*3 + 0] = 0.233197f;	val_dir[11583*3 + 1] = -0.038866f;	val_dir[11583*3 + 2] = -0.971653f;
 	val_dir[11584*3 + 0] = 0.251587f;	val_dir[11584*3 + 1] = -0.019353f;	val_dir[11584*3 + 2] = -0.967641f;
 	val_dir[11585*3 + 0] = 0.269630f;	val_dir[11585*3 + 1] = 0.0f;	val_dir[11585*3 + 2] = -0.962964f;
 	val_dir[11586*3 + 0] = 0.298216f;	val_dir[11586*3 + 1] = 0.019881f;	val_dir[11586*3 + 2] = -0.954291f;
 	val_dir[11587*3 + 0] = 0.328244f;	val_dir[11587*3 + 1] = 0.041030f;	val_dir[11587*3 + 2] = -0.943701f;
 	val_dir[11588*3 + 0] = 0.359673f;	val_dir[11588*3 + 1] = 0.063472f;	val_dir[11588*3 + 2] = -0.930917f;
 	val_dir[11589*3 + 0] = 0.392419f;	val_dir[11589*3 + 1] = 0.087204f;	val_dir[11589*3 + 2] = -0.915644f;
 	val_dir[11590*3 + 0] = 0.426348f;	val_dir[11590*3 + 1] = 0.112197f;	val_dir[11590*3 + 2] = -0.897574f;
 	val_dir[11591*3 + 0] = 0.461266f;	val_dir[11591*3 + 1] = 0.138380f;	val_dir[11591*3 + 2] = -0.876405f;
 	val_dir[11592*3 + 0] = 0.496911f;	val_dir[11592*3 + 1] = 0.165637f;	val_dir[11592*3 + 2] = -0.851847f;
 	val_dir[11593*3 + 0] = 0.532952f;	val_dir[11593*3 + 1] = 0.193801f;	val_dir[11593*3 + 2] = -0.823653f;
 	val_dir[11594*3 + 0] = 0.568986f;	val_dir[11594*3 + 1] = 0.222647f;	val_dir[11594*3 + 2] = -0.791633f;
 	val_dir[11595*3 + 0] = 0.604551f;	val_dir[11595*3 + 1] = 0.251896f;	val_dir[11595*3 + 2] = -0.755689f;
 	val_dir[11596*3 + 0] = 0.639138f;	val_dir[11596*3 + 1] = 0.281220f;	val_dir[11596*3 + 2] = -0.715834f;
 	val_dir[11597*3 + 0] = 0.672214f;	val_dir[11597*3 + 1] = 0.310253f;	val_dir[11597*3 + 2] = -0.672214f;
 	val_dir[11598*3 + 0] = 0.703259f;	val_dir[11598*3 + 1] = 0.338606f;	val_dir[11598*3 + 2] = -0.625119f;
 	val_dir[11599*3 + 0] = 0.731792f;	val_dir[11599*3 + 1] = 0.365896f;	val_dir[11599*3 + 2] = -0.574979f;
 	val_dir[11600*3 + 0] = 0.757410f;	val_dir[11600*3 + 1] = 0.391764f;	val_dir[11600*3 + 2] = -0.522352f;
 	val_dir[11601*3 + 0] = 0.779813f;	val_dir[11601*3 + 1] = 0.41590f;	val_dir[11601*3 + 2] = -0.467888f;
 	val_dir[11602*3 + 0] = 0.798820f;	val_dir[11602*3 + 1] = 0.438063f;	val_dir[11602*3 + 2] = -0.412294f;
 	val_dir[11603*3 + 0] = 0.814379f;	val_dir[11603*3 + 1] = 0.458088f;	val_dir[11603*3 + 2] = -0.356291f;
 	val_dir[11604*3 + 0] = 0.826551f;	val_dir[11604*3 + 1] = 0.475893f;	val_dir[11604*3 + 2] = -0.300564f;
 	val_dir[11605*3 + 0] = 0.835504f;	val_dir[11605*3 + 1] = 0.491473f;	val_dir[11605*3 + 2] = -0.245737f;
 	val_dir[11606*3 + 0] = 0.841482f;	val_dir[11606*3 + 1] = 0.504889f;	val_dir[11606*3 + 2] = -0.192339f;
 	val_dir[11607*3 + 0] = 0.844782f;	val_dir[11607*3 + 1] = 0.516256f;	val_dir[11607*3 + 2] = -0.140797f;
 	val_dir[11608*3 + 0] = 0.845728f;	val_dir[11608*3 + 1] = 0.525723f;	val_dir[11608*3 + 2] = -0.091430f;
 	val_dir[11609*3 + 0] = 0.844653f;	val_dir[11609*3 + 1] = 0.533465f;	val_dir[11609*3 + 2] = -0.044455f;
 	val_dir[11610*3 + 0] = 0.841879f;	val_dir[11610*3 + 1] = 0.539666f;	val_dir[11610*3 + 2] = 0.0f;
 	val_dir[11611*3 + 0] = -0.549484f;	val_dir[11611*3 + 1] = -0.835215f;	val_dir[11611*3 + 2] = -0.021979f;
 	val_dir[11612*3 + 0] = -0.542936f;	val_dir[11612*3 + 1] = -0.837027f;	val_dir[11612*3 + 2] = -0.067867f;
 	val_dir[11613*3 + 0] = -0.534739f;	val_dir[11613*3 + 1] = -0.836983f;	val_dir[11613*3 + 2] = -0.116248f;
 	val_dir[11614*3 + 0] = -0.524703f;	val_dir[11614*3 + 1] = -0.834754f;	val_dir[11614*3 + 2] = -0.166951f;
 	val_dir[11615*3 + 0] = -0.512653f;	val_dir[11615*3 + 1] = -0.830009f;	val_dir[11615*3 + 2] = -0.219708f;
 	val_dir[11616*3 + 0] = -0.498445f;	val_dir[11616*3 + 1] = -0.822434f;	val_dir[11616*3 + 2] = -0.274145f;
 	val_dir[11617*3 + 0] = -0.481979f;	val_dir[11617*3 + 1] = -0.811754f;	val_dir[11617*3 + 2] = -0.329775f;
 	val_dir[11618*3 + 0] = -0.463217f;	val_dir[11618*3 + 1] = -0.797762f;	val_dir[11618*3 + 2] = -0.386014f;
 	val_dir[11619*3 + 0] = -0.442193f;	val_dir[11619*3 + 1] = -0.780340f;	val_dir[11619*3 + 2] = -0.442193f;
 	val_dir[11620*3 + 0] = -0.419026f;	val_dir[11620*3 + 1] = -0.759485f;	val_dir[11620*3 + 2] = -0.497594f;
 	val_dir[11621*3 + 0] = -0.393919f;	val_dir[11621*3 + 1] = -0.735316f;	val_dir[11621*3 + 2] = -0.551487f;
 	val_dir[11622*3 + 0] = -0.367152f;	val_dir[11622*3 + 1] = -0.708079f;	val_dir[11622*3 + 2] = -0.603178f;
 	val_dir[11623*3 + 0] = -0.339066f;	val_dir[11623*3 + 1] = -0.678133f;	val_dir[11623*3 + 2] = -0.652051f;
 	val_dir[11624*3 + 0] = -0.310045f;	val_dir[11624*3 + 1] = -0.645928f;	val_dir[11624*3 + 2] = -0.697602f;
 	val_dir[11625*3 + 0] = -0.280488f;	val_dir[11625*3 + 1] = -0.611974f;	val_dir[11625*3 + 2] = -0.739469f;
 	val_dir[11626*3 + 0] = -0.250785f;	val_dir[11626*3 + 1] = -0.576805f;	val_dir[11626*3 + 2] = -0.777433f;
 	val_dir[11627*3 + 0] = -0.221297f;	val_dir[11627*3 + 1] = -0.540947f;	val_dir[11627*3 + 2] = -0.811421f;
 	val_dir[11628*3 + 0] = -0.192339f;	val_dir[11628*3 + 1] = -0.504889f;	val_dir[11628*3 + 2] = -0.841482f;
 	val_dir[11629*3 + 0] = -0.164173f;	val_dir[11629*3 + 1] = -0.469065f;	val_dir[11629*3 + 2] = -0.867770f;
 	val_dir[11630*3 + 0] = -0.137002f;	val_dir[11630*3 + 1] = -0.433840f;	val_dir[11630*3 + 2] = -0.890513f;
 	val_dir[11631*3 + 0] = -0.110974f;	val_dir[11631*3 + 1] = -0.399507f;	val_dir[11631*3 + 2] = -0.909988f;
 	val_dir[11632*3 + 0] = -0.086186f;	val_dir[11632*3 + 1] = -0.366291f;	val_dir[11632*3 + 2] = -0.92650f;
 	val_dir[11633*3 + 0] = -0.062691f;	val_dir[11633*3 + 1] = -0.334351f;	val_dir[11633*3 + 2] = -0.940361f;
 	val_dir[11634*3 + 0] = -0.040505f;	val_dir[11634*3 + 1] = -0.303791f;	val_dir[11634*3 + 2] = -0.951877f;
 	val_dir[11635*3 + 0] = -0.019619f;	val_dir[11635*3 + 1] = -0.274668f;	val_dir[11635*3 + 2] = -0.961339f;
 	val_dir[11636*3 + 0] = 0.0f;	val_dir[11636*3 + 1] = -0.247004f;	val_dir[11636*3 + 2] = -0.969015f;
 	val_dir[11637*3 + 0] = 0.019083f;	val_dir[11637*3 + 1] = -0.228998f;	val_dir[11637*3 + 2] = -0.973240f;
 	val_dir[11638*3 + 0] = 0.038306f;	val_dir[11638*3 + 1] = -0.210683f;	val_dir[11638*3 + 2] = -0.976804f;
 	val_dir[11639*3 + 0] = 0.057628f;	val_dir[11639*3 + 1] = -0.192095f;	val_dir[11639*3 + 2] = -0.979683f;
 	val_dir[11640*3 + 0] = 0.077009f;	val_dir[11640*3 + 1] = -0.173269f;	val_dir[11640*3 + 2] = -0.981859f;
 	val_dir[11641*3 + 0] = 0.096404f;	val_dir[11641*3 + 1] = -0.154246f;	val_dir[11641*3 + 2] = -0.983318f;
 	val_dir[11642*3 + 0] = 0.115771f;	val_dir[11642*3 + 1] = -0.135066f;	val_dir[11642*3 + 2] = -0.984050f;
 	val_dir[11643*3 + 0] = 0.135066f;	val_dir[11643*3 + 1] = -0.115771f;	val_dir[11643*3 + 2] = -0.984050f;
 	val_dir[11644*3 + 0] = 0.154246f;	val_dir[11644*3 + 1] = -0.096404f;	val_dir[11644*3 + 2] = -0.983318f;
 	val_dir[11645*3 + 0] = 0.173269f;	val_dir[11645*3 + 1] = -0.077009f;	val_dir[11645*3 + 2] = -0.981859f;
 	val_dir[11646*3 + 0] = 0.192095f;	val_dir[11646*3 + 1] = -0.057628f;	val_dir[11646*3 + 2] = -0.979683f;
 	val_dir[11647*3 + 0] = 0.210683f;	val_dir[11647*3 + 1] = -0.038306f;	val_dir[11647*3 + 2] = -0.976804f;
 	val_dir[11648*3 + 0] = 0.228998f;	val_dir[11648*3 + 1] = -0.019083f;	val_dir[11648*3 + 2] = -0.973240f;
 	val_dir[11649*3 + 0] = 0.247004f;	val_dir[11649*3 + 1] = 0.0f;	val_dir[11649*3 + 2] = -0.969015f;
 	val_dir[11650*3 + 0] = 0.274668f;	val_dir[11650*3 + 1] = 0.019619f;	val_dir[11650*3 + 2] = -0.961339f;
 	val_dir[11651*3 + 0] = 0.303791f;	val_dir[11651*3 + 1] = 0.040505f;	val_dir[11651*3 + 2] = -0.951877f;
 	val_dir[11652*3 + 0] = 0.334351f;	val_dir[11652*3 + 1] = 0.062691f;	val_dir[11652*3 + 2] = -0.940361f;
 	val_dir[11653*3 + 0] = 0.366291f;	val_dir[11653*3 + 1] = 0.086186f;	val_dir[11653*3 + 2] = -0.92650f;
 	val_dir[11654*3 + 0] = 0.399507f;	val_dir[11654*3 + 1] = 0.110974f;	val_dir[11654*3 + 2] = -0.909988f;
 	val_dir[11655*3 + 0] = 0.433840f;	val_dir[11655*3 + 1] = 0.137002f;	val_dir[11655*3 + 2] = -0.890513f;
 	val_dir[11656*3 + 0] = 0.469065f;	val_dir[11656*3 + 1] = 0.164173f;	val_dir[11656*3 + 2] = -0.867770f;
 	val_dir[11657*3 + 0] = 0.504889f;	val_dir[11657*3 + 1] = 0.192339f;	val_dir[11657*3 + 2] = -0.841482f;
 	val_dir[11658*3 + 0] = 0.540947f;	val_dir[11658*3 + 1] = 0.221297f;	val_dir[11658*3 + 2] = -0.811421f;
 	val_dir[11659*3 + 0] = 0.576805f;	val_dir[11659*3 + 1] = 0.250785f;	val_dir[11659*3 + 2] = -0.777433f;
 	val_dir[11660*3 + 0] = 0.611974f;	val_dir[11660*3 + 1] = 0.280488f;	val_dir[11660*3 + 2] = -0.739469f;
 	val_dir[11661*3 + 0] = 0.645928f;	val_dir[11661*3 + 1] = 0.310045f;	val_dir[11661*3 + 2] = -0.697602f;
 	val_dir[11662*3 + 0] = 0.678133f;	val_dir[11662*3 + 1] = 0.339066f;	val_dir[11662*3 + 2] = -0.652051f;
 	val_dir[11663*3 + 0] = 0.708079f;	val_dir[11663*3 + 1] = 0.367152f;	val_dir[11663*3 + 2] = -0.603178f;
 	val_dir[11664*3 + 0] = 0.735316f;	val_dir[11664*3 + 1] = 0.393919f;	val_dir[11664*3 + 2] = -0.551487f;
 	val_dir[11665*3 + 0] = 0.759485f;	val_dir[11665*3 + 1] = 0.419026f;	val_dir[11665*3 + 2] = -0.497594f;
 	val_dir[11666*3 + 0] = 0.780340f;	val_dir[11666*3 + 1] = 0.442193f;	val_dir[11666*3 + 2] = -0.442193f;
 	val_dir[11667*3 + 0] = 0.797762f;	val_dir[11667*3 + 1] = 0.463217f;	val_dir[11667*3 + 2] = -0.386014f;
 	val_dir[11668*3 + 0] = 0.811754f;	val_dir[11668*3 + 1] = 0.481979f;	val_dir[11668*3 + 2] = -0.329775f;
 	val_dir[11669*3 + 0] = 0.822434f;	val_dir[11669*3 + 1] = 0.498445f;	val_dir[11669*3 + 2] = -0.274145f;
 	val_dir[11670*3 + 0] = 0.830009f;	val_dir[11670*3 + 1] = 0.512653f;	val_dir[11670*3 + 2] = -0.219708f;
 	val_dir[11671*3 + 0] = 0.834754f;	val_dir[11671*3 + 1] = 0.524703f;	val_dir[11671*3 + 2] = -0.166951f;
 	val_dir[11672*3 + 0] = 0.836983f;	val_dir[11672*3 + 1] = 0.534739f;	val_dir[11672*3 + 2] = -0.116248f;
 	val_dir[11673*3 + 0] = 0.837027f;	val_dir[11673*3 + 1] = 0.542936f;	val_dir[11673*3 + 2] = -0.067867f;
 	val_dir[11674*3 + 0] = 0.835215f;	val_dir[11674*3 + 1] = 0.549484f;	val_dir[11674*3 + 2] = -0.021979f;
 	val_dir[11675*3 + 0] = -0.564684f;	val_dir[11675*3 + 1] = -0.825307f;	val_dir[11675*3 + 2] = 0.0f;
 	val_dir[11676*3 + 0] = -0.559297f;	val_dir[11676*3 + 1] = -0.827759f;	val_dir[11676*3 + 2] = -0.044744f;
 	val_dir[11677*3 + 0] = -0.552345f;	val_dir[11677*3 + 1] = -0.828517f;	val_dir[11677*3 + 2] = -0.092057f;
 	val_dir[11678*3 + 0] = -0.543627f;	val_dir[11678*3 + 1] = -0.827259f;	val_dir[11678*3 + 2] = -0.141816f;
 	val_dir[11679*3 + 0] = -0.532952f;	val_dir[11679*3 + 1] = -0.823653f;	val_dir[11679*3 + 2] = -0.193801f;
 	val_dir[11680*3 + 0] = -0.520146f;	val_dir[11680*3 + 1] = -0.817373f;	val_dir[11680*3 + 2] = -0.247689f;
 	val_dir[11681*3 + 0] = -0.505076f;	val_dir[11681*3 + 1] = -0.808122f;	val_dir[11681*3 + 2] = -0.303046f;
 	val_dir[11682*3 + 0] = -0.487661f;	val_dir[11682*3 + 1] = -0.795657f;	val_dir[11682*3 + 2] = -0.359329f;
 	val_dir[11683*3 + 0] = -0.467888f;	val_dir[11683*3 + 1] = -0.779813f;	val_dir[11683*3 + 2] = -0.41590f;
 	val_dir[11684*3 + 0] = -0.445827f;	val_dir[11684*3 + 1] = -0.760529f;	val_dir[11684*3 + 2] = -0.472053f;
 	val_dir[11685*3 + 0] = -0.421637f;	val_dir[11685*3 + 1] = -0.737865f;	val_dir[11685*3 + 2] = -0.527046f;
 	val_dir[11686*3 + 0] = -0.395559f;	val_dir[11686*3 + 1] = -0.712007f;	val_dir[11686*3 + 2] = -0.580154f;
 	val_dir[11687*3 + 0] = -0.367912f;	val_dir[11687*3 + 1] = -0.683265f;	val_dir[11687*3 + 2] = -0.630706f;
 	val_dir[11688*3 + 0] = -0.339066f;	val_dir[11688*3 + 1] = -0.652051f;	val_dir[11688*3 + 2] = -0.678133f;
 	val_dir[11689*3 + 0] = -0.309426f;	val_dir[11689*3 + 1] = -0.618853f;	val_dir[11689*3 + 2] = -0.721995f;
 	val_dir[11690*3 + 0] = -0.27940f;	val_dir[11690*3 + 1] = -0.584201f;	val_dir[11690*3 + 2] = -0.762001f;
 	val_dir[11691*3 + 0] = -0.249377f;	val_dir[11691*3 + 1] = -0.548630f;	val_dir[11691*3 + 2] = -0.798007f;
 	val_dir[11692*3 + 0] = -0.219708f;	val_dir[11692*3 + 1] = -0.512653f;	val_dir[11692*3 + 2] = -0.830009f;
 	val_dir[11693*3 + 0] = -0.190693f;	val_dir[11693*3 + 1] = -0.476731f;	val_dir[11693*3 + 2] = -0.858116f;
 	val_dir[11694*3 + 0] = -0.162571f;	val_dir[11694*3 + 1] = -0.441264f;	val_dir[11694*3 + 2] = -0.882528f;
 	val_dir[11695*3 + 0] = -0.135526f;	val_dir[11695*3 + 1] = -0.406579f;	val_dir[11695*3 + 2] = -0.903508f;
 	val_dir[11696*3 + 0] = -0.109685f;	val_dir[11696*3 + 1] = -0.372929f;	val_dir[11696*3 + 2] = -0.921354f;
 	val_dir[11697*3 + 0] = -0.085126f;	val_dir[11697*3 + 1] = -0.340503f;	val_dir[11697*3 + 2] = -0.936382f;
 	val_dir[11698*3 + 0] = -0.061885f;	val_dir[11698*3 + 1] = -0.309426f;	val_dir[11698*3 + 2] = -0.948908f;
 	val_dir[11699*3 + 0] = -0.039968f;	val_dir[11699*3 + 1] = -0.279776f;	val_dir[11699*3 + 2] = -0.959233f;
 	val_dir[11700*3 + 0] = -0.019353f;	val_dir[11700*3 + 1] = -0.251587f;	val_dir[11700*3 + 2] = -0.967641f;
 	val_dir[11701*3 + 0] = 0.0f;	val_dir[11701*3 + 1] = -0.224860f;	val_dir[11701*3 + 2] = -0.974391f;
 	val_dir[11702*3 + 0] = 0.018811f;	val_dir[11702*3 + 1] = -0.206922f;	val_dir[11702*3 + 2] = -0.978177f;
 	val_dir[11703*3 + 0] = 0.037743f;	val_dir[11703*3 + 1] = -0.188713f;	val_dir[11703*3 + 2] = -0.981307f;
 	val_dir[11704*3 + 0] = 0.056756f;	val_dir[11704*3 + 1] = -0.170267f;	val_dir[11704*3 + 2] = -0.983762f;
 	val_dir[11705*3 + 0] = 0.075810f;	val_dir[11705*3 + 1] = -0.151620f;	val_dir[11705*3 + 2] = -0.985527f;
 	val_dir[11706*3 + 0] = 0.094865f;	val_dir[11706*3 + 1] = -0.132810f;	val_dir[11706*3 + 2] = -0.986591f;
 	val_dir[11707*3 + 0] = 0.113878f;	val_dir[11707*3 + 1] = -0.113878f;	val_dir[11707*3 + 2] = -0.986947f;
 	val_dir[11708*3 + 0] = 0.132810f;	val_dir[11708*3 + 1] = -0.094865f;	val_dir[11708*3 + 2] = -0.986591f;
 	val_dir[11709*3 + 0] = 0.151620f;	val_dir[11709*3 + 1] = -0.075810f;	val_dir[11709*3 + 2] = -0.985527f;
 	val_dir[11710*3 + 0] = 0.170267f;	val_dir[11710*3 + 1] = -0.056756f;	val_dir[11710*3 + 2] = -0.983762f;
 	val_dir[11711*3 + 0] = 0.188713f;	val_dir[11711*3 + 1] = -0.037743f;	val_dir[11711*3 + 2] = -0.981307f;
 	val_dir[11712*3 + 0] = 0.206922f;	val_dir[11712*3 + 1] = -0.018811f;	val_dir[11712*3 + 2] = -0.978177f;
 	val_dir[11713*3 + 0] = 0.224860f;	val_dir[11713*3 + 1] = 0.0f;	val_dir[11713*3 + 2] = -0.974391f;
 	val_dir[11714*3 + 0] = 0.251587f;	val_dir[11714*3 + 1] = 0.019353f;	val_dir[11714*3 + 2] = -0.967641f;
 	val_dir[11715*3 + 0] = 0.279776f;	val_dir[11715*3 + 1] = 0.039968f;	val_dir[11715*3 + 2] = -0.959233f;
 	val_dir[11716*3 + 0] = 0.309426f;	val_dir[11716*3 + 1] = 0.061885f;	val_dir[11716*3 + 2] = -0.948908f;
 	val_dir[11717*3 + 0] = 0.340503f;	val_dir[11717*3 + 1] = 0.085126f;	val_dir[11717*3 + 2] = -0.936382f;
 	val_dir[11718*3 + 0] = 0.372929f;	val_dir[11718*3 + 1] = 0.109685f;	val_dir[11718*3 + 2] = -0.921354f;
 	val_dir[11719*3 + 0] = 0.406579f;	val_dir[11719*3 + 1] = 0.135526f;	val_dir[11719*3 + 2] = -0.903508f;
 	val_dir[11720*3 + 0] = 0.441264f;	val_dir[11720*3 + 1] = 0.162571f;	val_dir[11720*3 + 2] = -0.882528f;
 	val_dir[11721*3 + 0] = 0.476731f;	val_dir[11721*3 + 1] = 0.190693f;	val_dir[11721*3 + 2] = -0.858116f;
 	val_dir[11722*3 + 0] = 0.512653f;	val_dir[11722*3 + 1] = 0.219708f;	val_dir[11722*3 + 2] = -0.830009f;
 	val_dir[11723*3 + 0] = 0.548630f;	val_dir[11723*3 + 1] = 0.249377f;	val_dir[11723*3 + 2] = -0.798007f;
 	val_dir[11724*3 + 0] = 0.584201f;	val_dir[11724*3 + 1] = 0.27940f;	val_dir[11724*3 + 2] = -0.762001f;
 	val_dir[11725*3 + 0] = 0.618853f;	val_dir[11725*3 + 1] = 0.309426f;	val_dir[11725*3 + 2] = -0.721995f;
 	val_dir[11726*3 + 0] = 0.652051f;	val_dir[11726*3 + 1] = 0.339066f;	val_dir[11726*3 + 2] = -0.678133f;
 	val_dir[11727*3 + 0] = 0.683265f;	val_dir[11727*3 + 1] = 0.367912f;	val_dir[11727*3 + 2] = -0.630706f;
 	val_dir[11728*3 + 0] = 0.712007f;	val_dir[11728*3 + 1] = 0.395559f;	val_dir[11728*3 + 2] = -0.580154f;
 	val_dir[11729*3 + 0] = 0.737865f;	val_dir[11729*3 + 1] = 0.421637f;	val_dir[11729*3 + 2] = -0.527046f;
 	val_dir[11730*3 + 0] = 0.760529f;	val_dir[11730*3 + 1] = 0.445827f;	val_dir[11730*3 + 2] = -0.472053f;
 	val_dir[11731*3 + 0] = 0.779813f;	val_dir[11731*3 + 1] = 0.467888f;	val_dir[11731*3 + 2] = -0.41590f;
 	val_dir[11732*3 + 0] = 0.795657f;	val_dir[11732*3 + 1] = 0.487661f;	val_dir[11732*3 + 2] = -0.359329f;
 	val_dir[11733*3 + 0] = 0.808122f;	val_dir[11733*3 + 1] = 0.505076f;	val_dir[11733*3 + 2] = -0.303046f;
 	val_dir[11734*3 + 0] = 0.817373f;	val_dir[11734*3 + 1] = 0.520146f;	val_dir[11734*3 + 2] = -0.247689f;
 	val_dir[11735*3 + 0] = 0.823653f;	val_dir[11735*3 + 1] = 0.532952f;	val_dir[11735*3 + 2] = -0.193801f;
 	val_dir[11736*3 + 0] = 0.827259f;	val_dir[11736*3 + 1] = 0.543627f;	val_dir[11736*3 + 2] = -0.141816f;
 	val_dir[11737*3 + 0] = 0.828517f;	val_dir[11737*3 + 1] = 0.552345f;	val_dir[11737*3 + 2] = -0.092057f;
 	val_dir[11738*3 + 0] = 0.827759f;	val_dir[11738*3 + 1] = 0.559297f;	val_dir[11738*3 + 2] = -0.044744f;
 	val_dir[11739*3 + 0] = 0.825307f;	val_dir[11739*3 + 1] = 0.564684f;	val_dir[11739*3 + 2] = 0.0f;
 	val_dir[11740*3 + 0] = -0.574805f;	val_dir[11740*3 + 1] = -0.817992f;	val_dir[11740*3 + 2] = -0.022108f;
 	val_dir[11741*3 + 0] = -0.569064f;	val_dir[11741*3 + 1] = -0.819453f;	val_dir[11741*3 + 2] = -0.068288f;
 	val_dir[11742*3 + 0] = -0.561644f;	val_dir[11742*3 + 1] = -0.819064f;	val_dir[11742*3 + 2] = -0.117009f;
 	val_dir[11743*3 + 0] = -0.552336f;	val_dir[11743*3 + 1] = -0.816497f;	val_dir[11743*3 + 2] = -0.168102f;
 	val_dir[11744*3 + 0] = -0.540947f;	val_dir[11744*3 + 1] = -0.811421f;	val_dir[11744*3 + 2] = -0.221297f;
 	val_dir[11745*3 + 0] = -0.527312f;	val_dir[11745*3 + 1] = -0.803523f;	val_dir[11745*3 + 2] = -0.276211f;
 	val_dir[11746*3 + 0] = -0.511310f;	val_dir[11746*3 + 1] = -0.792530f;	val_dir[11746*3 + 2] = -0.332352f;
 	val_dir[11747*3 + 0] = -0.492883f;	val_dir[11747*3 + 1] = -0.778237f;	val_dir[11747*3 + 2] = -0.389118f;
 	val_dir[11748*3 + 0] = -0.472053f;	val_dir[11748*3 + 1] = -0.760529f;	val_dir[11748*3 + 2] = -0.445827f;
 	val_dir[11749*3 + 0] = -0.448926f;	val_dir[11749*3 + 1] = -0.739407f;	val_dir[11749*3 + 2] = -0.501740f;
 	val_dir[11750*3 + 0] = -0.423702f;	val_dir[11750*3 + 1] = -0.714997f;	val_dir[11750*3 + 2] = -0.556108f;
 	val_dir[11751*3 + 0] = -0.396664f;	val_dir[11751*3 + 1] = -0.687552f;	val_dir[11751*3 + 2] = -0.608219f;
 	val_dir[11752*3 + 0] = -0.368166f;	val_dir[11752*3 + 1] = -0.657440f;	val_dir[11752*3 + 2] = -0.657440f;
 	val_dir[11753*3 + 0] = -0.338606f;	val_dir[11753*3 + 1] = -0.625119f;	val_dir[11753*3 + 2] = -0.703259f;
 	val_dir[11754*3 + 0] = -0.308403f;	val_dir[11754*3 + 1] = -0.591105f;	val_dir[11754*3 + 2] = -0.745307f;
 	val_dir[11755*3 + 0] = -0.277969f;	val_dir[11755*3 + 1] = -0.555939f;	val_dir[11755*3 + 2] = -0.783368f;
 	val_dir[11756*3 + 0] = -0.247689f;	val_dir[11756*3 + 1] = -0.520146f;	val_dir[11756*3 + 2] = -0.817373f;
 	val_dir[11757*3 + 0] = -0.217898f;	val_dir[11757*3 + 1] = -0.484217f;	val_dir[11757*3 + 2] = -0.847381f;
 	val_dir[11758*3 + 0] = -0.188877f;	val_dir[11758*3 + 1] = -0.448583f;	val_dir[11758*3 + 2] = -0.873555f;
 	val_dir[11759*3 + 0] = -0.160845f;	val_dir[11759*3 + 1] = -0.413602f;	val_dir[11759*3 + 2] = -0.896137f;
 	val_dir[11760*3 + 0] = -0.133963f;	val_dir[11760*3 + 1] = -0.379563f;	val_dir[11760*3 + 2] = -0.915416f;
 	val_dir[11761*3 + 0] = -0.108338f;	val_dir[11761*3 + 1] = -0.346681f;	val_dir[11761*3 + 2] = -0.931705f;
 	val_dir[11762*3 + 0] = -0.084029f;	val_dir[11762*3 + 1] = -0.315109f;	val_dir[11762*3 + 2] = -0.945328f;
 	val_dir[11763*3 + 0] = -0.061059f;	val_dir[11763*3 + 1] = -0.284944f;	val_dir[11763*3 + 2] = -0.956597f;
 	val_dir[11764*3 + 0] = -0.039421f;	val_dir[11764*3 + 1] = -0.256235f;	val_dir[11764*3 + 2] = -0.965810f;
 	val_dir[11765*3 + 0] = -0.019083f;	val_dir[11765*3 + 1] = -0.228998f;	val_dir[11765*3 + 2] = -0.973240f;
 	val_dir[11766*3 + 0] = 0.0f;	val_dir[11766*3 + 1] = -0.203216f;	val_dir[11766*3 + 2] = -0.979134f;
 	val_dir[11767*3 + 0] = 0.018538f;	val_dir[11767*3 + 1] = -0.185376f;	val_dir[11767*3 + 2] = -0.982493f;
 	val_dir[11768*3 + 0] = 0.037178f;	val_dir[11768*3 + 1] = -0.167299f;	val_dir[11768*3 + 2] = -0.985205f;
 	val_dir[11769*3 + 0] = 0.055882f;	val_dir[11769*3 + 1] = -0.149019f;	val_dir[11769*3 + 2] = -0.987254f;
 	val_dir[11770*3 + 0] = 0.074613f;	val_dir[11770*3 + 1] = -0.130573f;	val_dir[11770*3 + 2] = -0.988627f;
 	val_dir[11771*3 + 0] = 0.093332f;	val_dir[11771*3 + 1] = -0.111998f;	val_dir[11771*3 + 2] = -0.989316f;
 	val_dir[11772*3 + 0] = 0.111998f;	val_dir[11772*3 + 1] = -0.093332f;	val_dir[11772*3 + 2] = -0.989316f;
 	val_dir[11773*3 + 0] = 0.130573f;	val_dir[11773*3 + 1] = -0.074613f;	val_dir[11773*3 + 2] = -0.988627f;
 	val_dir[11774*3 + 0] = 0.149019f;	val_dir[11774*3 + 1] = -0.055882f;	val_dir[11774*3 + 2] = -0.987254f;
 	val_dir[11775*3 + 0] = 0.167299f;	val_dir[11775*3 + 1] = -0.037178f;	val_dir[11775*3 + 2] = -0.985205f;
 	val_dir[11776*3 + 0] = 0.185376f;	val_dir[11776*3 + 1] = -0.018538f;	val_dir[11776*3 + 2] = -0.982493f;
 	val_dir[11777*3 + 0] = 0.203216f;	val_dir[11777*3 + 1] = 0.0f;	val_dir[11777*3 + 2] = -0.979134f;
 	val_dir[11778*3 + 0] = 0.228998f;	val_dir[11778*3 + 1] = 0.019083f;	val_dir[11778*3 + 2] = -0.973240f;
 	val_dir[11779*3 + 0] = 0.256235f;	val_dir[11779*3 + 1] = 0.039421f;	val_dir[11779*3 + 2] = -0.965810f;
 	val_dir[11780*3 + 0] = 0.284944f;	val_dir[11780*3 + 1] = 0.061059f;	val_dir[11780*3 + 2] = -0.956597f;
 	val_dir[11781*3 + 0] = 0.315109f;	val_dir[11781*3 + 1] = 0.084029f;	val_dir[11781*3 + 2] = -0.945328f;
 	val_dir[11782*3 + 0] = 0.346681f;	val_dir[11782*3 + 1] = 0.108338f;	val_dir[11782*3 + 2] = -0.931705f;
 	val_dir[11783*3 + 0] = 0.379563f;	val_dir[11783*3 + 1] = 0.133963f;	val_dir[11783*3 + 2] = -0.915416f;
 	val_dir[11784*3 + 0] = 0.413602f;	val_dir[11784*3 + 1] = 0.160845f;	val_dir[11784*3 + 2] = -0.896137f;
 	val_dir[11785*3 + 0] = 0.448583f;	val_dir[11785*3 + 1] = 0.188877f;	val_dir[11785*3 + 2] = -0.873555f;
 	val_dir[11786*3 + 0] = 0.484217f;	val_dir[11786*3 + 1] = 0.217898f;	val_dir[11786*3 + 2] = -0.847381f;
 	val_dir[11787*3 + 0] = 0.520146f;	val_dir[11787*3 + 1] = 0.247689f;	val_dir[11787*3 + 2] = -0.817373f;
 	val_dir[11788*3 + 0] = 0.555939f;	val_dir[11788*3 + 1] = 0.277969f;	val_dir[11788*3 + 2] = -0.783368f;
 	val_dir[11789*3 + 0] = 0.591105f;	val_dir[11789*3 + 1] = 0.308403f;	val_dir[11789*3 + 2] = -0.745307f;
 	val_dir[11790*3 + 0] = 0.625119f;	val_dir[11790*3 + 1] = 0.338606f;	val_dir[11790*3 + 2] = -0.703259f;
 	val_dir[11791*3 + 0] = 0.657440f;	val_dir[11791*3 + 1] = 0.368166f;	val_dir[11791*3 + 2] = -0.657440f;
 	val_dir[11792*3 + 0] = 0.687552f;	val_dir[11792*3 + 1] = 0.396664f;	val_dir[11792*3 + 2] = -0.608219f;
 	val_dir[11793*3 + 0] = 0.714997f;	val_dir[11793*3 + 1] = 0.423702f;	val_dir[11793*3 + 2] = -0.556108f;
 	val_dir[11794*3 + 0] = 0.739407f;	val_dir[11794*3 + 1] = 0.448926f;	val_dir[11794*3 + 2] = -0.501740f;
 	val_dir[11795*3 + 0] = 0.760529f;	val_dir[11795*3 + 1] = 0.472053f;	val_dir[11795*3 + 2] = -0.445827f;
 	val_dir[11796*3 + 0] = 0.778237f;	val_dir[11796*3 + 1] = 0.492883f;	val_dir[11796*3 + 2] = -0.389118f;
 	val_dir[11797*3 + 0] = 0.792530f;	val_dir[11797*3 + 1] = 0.511310f;	val_dir[11797*3 + 2] = -0.332352f;
 	val_dir[11798*3 + 0] = 0.803523f;	val_dir[11798*3 + 1] = 0.527312f;	val_dir[11798*3 + 2] = -0.276211f;
 	val_dir[11799*3 + 0] = 0.811421f;	val_dir[11799*3 + 1] = 0.540947f;	val_dir[11799*3 + 2] = -0.221297f;
 	val_dir[11800*3 + 0] = 0.816497f;	val_dir[11800*3 + 1] = 0.552336f;	val_dir[11800*3 + 2] = -0.168102f;
 	val_dir[11801*3 + 0] = 0.819064f;	val_dir[11801*3 + 1] = 0.561644f;	val_dir[11801*3 + 2] = -0.117009f;
 	val_dir[11802*3 + 0] = 0.819453f;	val_dir[11802*3 + 1] = 0.569064f;	val_dir[11802*3 + 2] = -0.068288f;
 	val_dir[11803*3 + 0] = 0.817992f;	val_dir[11803*3 + 1] = 0.574805f;	val_dir[11803*3 + 2] = -0.022108f;
 	val_dir[11804*3 + 0] = -0.589469f;	val_dir[11804*3 + 1] = -0.807791f;	val_dir[11804*3 + 2] = 0.0f;
 	val_dir[11805*3 + 0] = -0.584898f;	val_dir[11805*3 + 1] = -0.809858f;	val_dir[11805*3 + 2] = -0.044992f;
 	val_dir[11806*3 + 0] = -0.578741f;	val_dir[11806*3 + 1] = -0.810237f;	val_dir[11806*3 + 2] = -0.092599f;
 	val_dir[11807*3 + 0] = -0.570782f;	val_dir[11807*3 + 1] = -0.808608f;	val_dir[11807*3 + 2] = -0.142695f;
 	val_dir[11808*3 + 0] = -0.560809f;	val_dir[11808*3 + 1] = -0.804639f;	val_dir[11808*3 + 2] = -0.195064f;
 	val_dir[11809*3 + 0] = -0.548630f;	val_dir[11809*3 + 1] = -0.798007f;	val_dir[11809*3 + 2] = -0.249377f;
 	val_dir[11810*3 + 0] = -0.534090f;	val_dir[11810*3 + 1] = -0.788419f;	val_dir[11810*3 + 2] = -0.305194f;
 	val_dir[11811*3 + 0] = -0.517088f;	val_dir[11811*3 + 1] = -0.775632f;	val_dir[11811*3 + 2] = -0.361961f;
 	val_dir[11812*3 + 0] = -0.497594f;	val_dir[11812*3 + 1] = -0.759485f;	val_dir[11812*3 + 2] = -0.419026f;
 	val_dir[11813*3 + 0] = -0.475665f;	val_dir[11813*3 + 1] = -0.739923f;	val_dir[11813*3 + 2] = -0.475665f;
 	val_dir[11814*3 + 0] = -0.451451f;	val_dir[11814*3 + 1] = -0.717011f;	val_dir[11814*3 + 2] = -0.531119f;
 	val_dir[11815*3 + 0] = -0.425195f;	val_dir[11815*3 + 1] = -0.690942f;	val_dir[11815*3 + 2] = -0.584643f;
 	val_dir[11816*3 + 0] = -0.397220f;	val_dir[11816*3 + 1] = -0.662034f;	val_dir[11816*3 + 2] = -0.635553f;
 	val_dir[11817*3 + 0] = -0.367912f;	val_dir[11817*3 + 1] = -0.630706f;	val_dir[11817*3 + 2] = -0.683265f;
 	val_dir[11818*3 + 0] = -0.337691f;	val_dir[11818*3 + 1] = -0.597453f;	val_dir[11818*3 + 2] = -0.727334f;
 	val_dir[11819*3 + 0] = -0.306987f;	val_dir[11819*3 + 1] = -0.562809f;	val_dir[11819*3 + 2] = -0.767467f;
 	val_dir[11820*3 + 0] = -0.276211f;	val_dir[11820*3 + 1] = -0.527312f;	val_dir[11820*3 + 2] = -0.803523f;
 	val_dir[11821*3 + 0] = -0.245737f;	val_dir[11821*3 + 1] = -0.491473f;	val_dir[11821*3 + 2] = -0.835504f;
 	val_dir[11822*3 + 0] = -0.215883f;	val_dir[11822*3 + 1] = -0.455752f;	val_dir[11822*3 + 2] = -0.863530f;
 	val_dir[11823*3 + 0] = -0.186908f;	val_dir[11823*3 + 1] = -0.420542f;	val_dir[11823*3 + 2] = -0.887812f;
 	val_dir[11824*3 + 0] = -0.159009f;	val_dir[11824*3 + 1] = -0.386164f;	val_dir[11824*3 + 2] = -0.908622f;
 	val_dir[11825*3 + 0] = -0.132324f;	val_dir[11825*3 + 1] = -0.352865f;	val_dir[11825*3 + 2] = -0.926270f;
 	val_dir[11826*3 + 0] = -0.106941f;	val_dir[11826*3 + 1] = -0.320824f;	val_dir[11826*3 + 2] = -0.941082f;
 	val_dir[11827*3 + 0] = -0.082903f;	val_dir[11827*3 + 1] = -0.290159f;	val_dir[11827*3 + 2] = -0.953381f;
 	val_dir[11828*3 + 0] = -0.060217f;	val_dir[11828*3 + 1] = -0.260941f;	val_dir[11828*3 + 2] = -0.963475f;
 	val_dir[11829*3 + 0] = -0.038866f;	val_dir[11829*3 + 1] = -0.233197f;	val_dir[11829*3 + 2] = -0.971653f;
 	val_dir[11830*3 + 0] = -0.018811f;	val_dir[11830*3 + 1] = -0.206922f;	val_dir[11830*3 + 2] = -0.978177f;
 	val_dir[11831*3 + 0] = 0.0f;	val_dir[11831*3 + 1] = -0.182089f;	val_dir[11831*3 + 2] = -0.983282f;
 	val_dir[11832*3 + 0] = 0.018264f;	val_dir[11832*3 + 1] = -0.164372f;	val_dir[11832*3 + 2] = -0.986229f;
 	val_dir[11833*3 + 0] = 0.036613f;	val_dir[11833*3 + 1] = -0.146450f;	val_dir[11833*3 + 2] = -0.988540f;
 	val_dir[11834*3 + 0] = 0.055011f;	val_dir[11834*3 + 1] = -0.128359f;	val_dir[11834*3 + 2] = -0.990201f;
 	val_dir[11835*3 + 0] = 0.073422f;	val_dir[11835*3 + 1] = -0.110133f;	val_dir[11835*3 + 2] = -0.991201f;
 	val_dir[11836*3 + 0] = 0.091809f;	val_dir[11836*3 + 1] = -0.091809f;	val_dir[11836*3 + 2] = -0.991535f;
 	val_dir[11837*3 + 0] = 0.110133f;	val_dir[11837*3 + 1] = -0.073422f;	val_dir[11837*3 + 2] = -0.991201f;
 	val_dir[11838*3 + 0] = 0.128359f;	val_dir[11838*3 + 1] = -0.055011f;	val_dir[11838*3 + 2] = -0.990201f;
 	val_dir[11839*3 + 0] = 0.146450f;	val_dir[11839*3 + 1] = -0.036613f;	val_dir[11839*3 + 2] = -0.988540f;
 	val_dir[11840*3 + 0] = 0.164372f;	val_dir[11840*3 + 1] = -0.018264f;	val_dir[11840*3 + 2] = -0.986229f;
 	val_dir[11841*3 + 0] = 0.182089f;	val_dir[11841*3 + 1] = 0.0f;	val_dir[11841*3 + 2] = -0.983282f;
 	val_dir[11842*3 + 0] = 0.206922f;	val_dir[11842*3 + 1] = 0.018811f;	val_dir[11842*3 + 2] = -0.978177f;
 	val_dir[11843*3 + 0] = 0.233197f;	val_dir[11843*3 + 1] = 0.038866f;	val_dir[11843*3 + 2] = -0.971653f;
 	val_dir[11844*3 + 0] = 0.260941f;	val_dir[11844*3 + 1] = 0.060217f;	val_dir[11844*3 + 2] = -0.963475f;
 	val_dir[11845*3 + 0] = 0.290159f;	val_dir[11845*3 + 1] = 0.082903f;	val_dir[11845*3 + 2] = -0.953381f;
 	val_dir[11846*3 + 0] = 0.320824f;	val_dir[11846*3 + 1] = 0.106941f;	val_dir[11846*3 + 2] = -0.941082f;
 	val_dir[11847*3 + 0] = 0.352865f;	val_dir[11847*3 + 1] = 0.132324f;	val_dir[11847*3 + 2] = -0.926270f;
 	val_dir[11848*3 + 0] = 0.386164f;	val_dir[11848*3 + 1] = 0.159009f;	val_dir[11848*3 + 2] = -0.908622f;
 	val_dir[11849*3 + 0] = 0.420542f;	val_dir[11849*3 + 1] = 0.186908f;	val_dir[11849*3 + 2] = -0.887812f;
 	val_dir[11850*3 + 0] = 0.455752f;	val_dir[11850*3 + 1] = 0.215883f;	val_dir[11850*3 + 2] = -0.863530f;
 	val_dir[11851*3 + 0] = 0.491473f;	val_dir[11851*3 + 1] = 0.245737f;	val_dir[11851*3 + 2] = -0.835504f;
 	val_dir[11852*3 + 0] = 0.527312f;	val_dir[11852*3 + 1] = 0.276211f;	val_dir[11852*3 + 2] = -0.803523f;
 	val_dir[11853*3 + 0] = 0.562809f;	val_dir[11853*3 + 1] = 0.306987f;	val_dir[11853*3 + 2] = -0.767467f;
 	val_dir[11854*3 + 0] = 0.597453f;	val_dir[11854*3 + 1] = 0.337691f;	val_dir[11854*3 + 2] = -0.727334f;
 	val_dir[11855*3 + 0] = 0.630706f;	val_dir[11855*3 + 1] = 0.367912f;	val_dir[11855*3 + 2] = -0.683265f;
 	val_dir[11856*3 + 0] = 0.662034f;	val_dir[11856*3 + 1] = 0.397220f;	val_dir[11856*3 + 2] = -0.635553f;
 	val_dir[11857*3 + 0] = 0.690942f;	val_dir[11857*3 + 1] = 0.425195f;	val_dir[11857*3 + 2] = -0.584643f;
 	val_dir[11858*3 + 0] = 0.717011f;	val_dir[11858*3 + 1] = 0.451451f;	val_dir[11858*3 + 2] = -0.531119f;
 	val_dir[11859*3 + 0] = 0.739923f;	val_dir[11859*3 + 1] = 0.475665f;	val_dir[11859*3 + 2] = -0.475665f;
 	val_dir[11860*3 + 0] = 0.759485f;	val_dir[11860*3 + 1] = 0.497594f;	val_dir[11860*3 + 2] = -0.419026f;
 	val_dir[11861*3 + 0] = 0.775632f;	val_dir[11861*3 + 1] = 0.517088f;	val_dir[11861*3 + 2] = -0.361961f;
 	val_dir[11862*3 + 0] = 0.788419f;	val_dir[11862*3 + 1] = 0.534090f;	val_dir[11862*3 + 2] = -0.305194f;
 	val_dir[11863*3 + 0] = 0.798007f;	val_dir[11863*3 + 1] = 0.548630f;	val_dir[11863*3 + 2] = -0.249377f;
 	val_dir[11864*3 + 0] = 0.804639f;	val_dir[11864*3 + 1] = 0.560809f;	val_dir[11864*3 + 2] = -0.195064f;
 	val_dir[11865*3 + 0] = 0.808608f;	val_dir[11865*3 + 1] = 0.570782f;	val_dir[11865*3 + 2] = -0.142695f;
 	val_dir[11866*3 + 0] = 0.810237f;	val_dir[11866*3 + 1] = 0.578741f;	val_dir[11866*3 + 2] = -0.092599f;
 	val_dir[11867*3 + 0] = 0.809858f;	val_dir[11867*3 + 1] = 0.584898f;	val_dir[11867*3 + 2] = -0.044992f;
 	val_dir[11868*3 + 0] = 0.807791f;	val_dir[11868*3 + 1] = 0.589469f;	val_dir[11868*3 + 2] = 0.0f;
 	val_dir[11869*3 + 0] = -0.599852f;	val_dir[11869*3 + 1] = -0.799803f;	val_dir[11869*3 + 2] = -0.022217f;
 	val_dir[11870*3 + 0] = -0.594917f;	val_dir[11870*3 + 1] = -0.800850f;	val_dir[11870*3 + 2] = -0.068644f;
 	val_dir[11871*3 + 0] = -0.588276f;	val_dir[11871*3 + 1] = -0.800055f;	val_dir[11871*3 + 2] = -0.117655f;
 	val_dir[11872*3 + 0] = -0.579703f;	val_dir[11872*3 + 1] = -0.797092f;	val_dir[11872*3 + 2] = -0.169080f;
 	val_dir[11873*3 + 0] = -0.568986f;	val_dir[11873*3 + 1] = -0.791633f;	val_dir[11873*3 + 2] = -0.222647f;
 	val_dir[11874*3 + 0] = -0.555939f;	val_dir[11874*3 + 1] = -0.783368f;	val_dir[11874*3 + 2] = -0.277969f;
 	val_dir[11875*3 + 0] = -0.540419f;	val_dir[11875*3 + 1] = -0.772027f;	val_dir[11875*3 + 2] = -0.334545f;
 	val_dir[11876*3 + 0] = -0.522352f;	val_dir[11876*3 + 1] = -0.757410f;	val_dir[11876*3 + 2] = -0.391764f;
 	val_dir[11877*3 + 0] = -0.501740f;	val_dir[11877*3 + 1] = -0.739407f;	val_dir[11877*3 + 2] = -0.448926f;
 	val_dir[11878*3 + 0] = -0.478683f;	val_dir[11878*3 + 1] = -0.718024f;	val_dir[11878*3 + 2] = -0.505276f;
 	val_dir[11879*3 + 0] = -0.453374f;	val_dir[11879*3 + 1] = -0.693395f;	val_dir[11879*3 + 2] = -0.560050f;
 	val_dir[11880*3 + 0] = -0.426099f;	val_dir[11880*3 + 1] = -0.665780f;	val_dir[11880*3 + 2] = -0.612517f;
 	val_dir[11881*3 + 0] = -0.397220f;	val_dir[11881*3 + 1] = -0.635553f;	val_dir[11881*3 + 2] = -0.662034f;
 	val_dir[11882*3 + 0] = -0.367152f;	val_dir[11882*3 + 1] = -0.603178f;	val_dir[11882*3 + 2] = -0.708079f;
 	val_dir[11883*3 + 0] = -0.336332f;	val_dir[11883*3 + 1] = -0.569177f;	val_dir[11883*3 + 2] = -0.750279f;
 	val_dir[11884*3 + 0] = -0.305194f;	val_dir[11884*3 + 1] = -0.534090f;	val_dir[11884*3 + 2] = -0.788419f;
 	val_dir[11885*3 + 0] = -0.274145f;	val_dir[11885*3 + 1] = -0.498445f;	val_dir[11885*3 + 2] = -0.822434f;
 	val_dir[11886*3 + 0] = -0.243541f;	val_dir[11886*3 + 1] = -0.462727f;	val_dir[11886*3 + 2] = -0.852392f;
 	val_dir[11887*3 + 0] = -0.213681f;	val_dir[11887*3 + 1] = -0.427362f;	val_dir[11887*3 + 2] = -0.878466f;
 	val_dir[11888*3 + 0] = -0.184801f;	val_dir[11888*3 + 1] = -0.392703f;	val_dir[11888*3 + 2] = -0.900907f;
 	val_dir[11889*3 + 0] = -0.157075f;	val_dir[11889*3 + 1] = -0.359030f;	val_dir[11889*3 + 2] = -0.920014f;
 	val_dir[11890*3 + 0] = -0.130620f;	val_dir[11890*3 + 1] = -0.326550f;	val_dir[11890*3 + 2] = -0.936111f;
 	val_dir[11891*3 + 0] = -0.105503f;	val_dir[11891*3 + 1] = -0.295409f;	val_dir[11891*3 + 2] = -0.949528f;
 	val_dir[11892*3 + 0] = -0.081752f;	val_dir[11892*3 + 1] = -0.265694f;	val_dir[11892*3 + 2] = -0.960585f;
 	val_dir[11893*3 + 0] = -0.059362f;	val_dir[11893*3 + 1] = -0.237449f;	val_dir[11893*3 + 2] = -0.969584f;
 	val_dir[11894*3 + 0] = -0.038306f;	val_dir[11894*3 + 1] = -0.210683f;	val_dir[11894*3 + 2] = -0.976804f;
 	val_dir[11895*3 + 0] = -0.018538f;	val_dir[11895*3 + 1] = -0.185376f;	val_dir[11895*3 + 2] = -0.982493f;
 	val_dir[11896*3 + 0] = 0.0f;	val_dir[11896*3 + 1] = -0.161489f;	val_dir[11896*3 + 2] = -0.986875f;
 	val_dir[11897*3 + 0] = 0.017990f;	val_dir[11897*3 + 1] = -0.143917f;	val_dir[11897*3 + 2] = -0.989426f;
 	val_dir[11898*3 + 0] = 0.036049f;	val_dir[11898*3 + 1] = -0.126172f;	val_dir[11898*3 + 2] = -0.991353f;
 	val_dir[11899*3 + 0] = 0.054144f;	val_dir[11899*3 + 1] = -0.108288f;	val_dir[11899*3 + 2] = -0.992644f;
 	val_dir[11900*3 + 0] = 0.072239f;	val_dir[11900*3 + 1] = -0.090299f;	val_dir[11900*3 + 2] = -0.993291f;
 	val_dir[11901*3 + 0] = 0.090299f;	val_dir[11901*3 + 1] = -0.072239f;	val_dir[11901*3 + 2] = -0.993291f;
 	val_dir[11902*3 + 0] = 0.108288f;	val_dir[11902*3 + 1] = -0.054144f;	val_dir[11902*3 + 2] = -0.992644f;
 	val_dir[11903*3 + 0] = 0.126172f;	val_dir[11903*3 + 1] = -0.036049f;	val_dir[11903*3 + 2] = -0.991353f;
 	val_dir[11904*3 + 0] = 0.143917f;	val_dir[11904*3 + 1] = -0.017990f;	val_dir[11904*3 + 2] = -0.989426f;
 	val_dir[11905*3 + 0] = 0.161489f;	val_dir[11905*3 + 1] = 0.0f;	val_dir[11905*3 + 2] = -0.986875f;
 	val_dir[11906*3 + 0] = 0.185376f;	val_dir[11906*3 + 1] = 0.018538f;	val_dir[11906*3 + 2] = -0.982493f;
 	val_dir[11907*3 + 0] = 0.210683f;	val_dir[11907*3 + 1] = 0.038306f;	val_dir[11907*3 + 2] = -0.976804f;
 	val_dir[11908*3 + 0] = 0.237449f;	val_dir[11908*3 + 1] = 0.059362f;	val_dir[11908*3 + 2] = -0.969584f;
 	val_dir[11909*3 + 0] = 0.265694f;	val_dir[11909*3 + 1] = 0.081752f;	val_dir[11909*3 + 2] = -0.960585f;
 	val_dir[11910*3 + 0] = 0.295409f;	val_dir[11910*3 + 1] = 0.105503f;	val_dir[11910*3 + 2] = -0.949528f;
 	val_dir[11911*3 + 0] = 0.326550f;	val_dir[11911*3 + 1] = 0.130620f;	val_dir[11911*3 + 2] = -0.936111f;
 	val_dir[11912*3 + 0] = 0.359030f;	val_dir[11912*3 + 1] = 0.157075f;	val_dir[11912*3 + 2] = -0.920014f;
 	val_dir[11913*3 + 0] = 0.392703f;	val_dir[11913*3 + 1] = 0.184801f;	val_dir[11913*3 + 2] = -0.900907f;
 	val_dir[11914*3 + 0] = 0.427362f;	val_dir[11914*3 + 1] = 0.213681f;	val_dir[11914*3 + 2] = -0.878466f;
 	val_dir[11915*3 + 0] = 0.462727f;	val_dir[11915*3 + 1] = 0.243541f;	val_dir[11915*3 + 2] = -0.852392f;
 	val_dir[11916*3 + 0] = 0.498445f;	val_dir[11916*3 + 1] = 0.274145f;	val_dir[11916*3 + 2] = -0.822434f;
 	val_dir[11917*3 + 0] = 0.534090f;	val_dir[11917*3 + 1] = 0.305194f;	val_dir[11917*3 + 2] = -0.788419f;
 	val_dir[11918*3 + 0] = 0.569177f;	val_dir[11918*3 + 1] = 0.336332f;	val_dir[11918*3 + 2] = -0.750279f;
 	val_dir[11919*3 + 0] = 0.603178f;	val_dir[11919*3 + 1] = 0.367152f;	val_dir[11919*3 + 2] = -0.708079f;
 	val_dir[11920*3 + 0] = 0.635553f;	val_dir[11920*3 + 1] = 0.397220f;	val_dir[11920*3 + 2] = -0.662034f;
 	val_dir[11921*3 + 0] = 0.665780f;	val_dir[11921*3 + 1] = 0.426099f;	val_dir[11921*3 + 2] = -0.612517f;
 	val_dir[11922*3 + 0] = 0.693395f;	val_dir[11922*3 + 1] = 0.453374f;	val_dir[11922*3 + 2] = -0.560050f;
 	val_dir[11923*3 + 0] = 0.718024f;	val_dir[11923*3 + 1] = 0.478683f;	val_dir[11923*3 + 2] = -0.505276f;
 	val_dir[11924*3 + 0] = 0.739407f;	val_dir[11924*3 + 1] = 0.501740f;	val_dir[11924*3 + 2] = -0.448926f;
 	val_dir[11925*3 + 0] = 0.757410f;	val_dir[11925*3 + 1] = 0.522352f;	val_dir[11925*3 + 2] = -0.391764f;
 	val_dir[11926*3 + 0] = 0.772027f;	val_dir[11926*3 + 1] = 0.540419f;	val_dir[11926*3 + 2] = -0.334545f;
 	val_dir[11927*3 + 0] = 0.783368f;	val_dir[11927*3 + 1] = 0.555939f;	val_dir[11927*3 + 2] = -0.277969f;
 	val_dir[11928*3 + 0] = 0.791633f;	val_dir[11928*3 + 1] = 0.568986f;	val_dir[11928*3 + 2] = -0.222647f;
 	val_dir[11929*3 + 0] = 0.797092f;	val_dir[11929*3 + 1] = 0.579703f;	val_dir[11929*3 + 2] = -0.169080f;
 	val_dir[11930*3 + 0] = 0.800055f;	val_dir[11930*3 + 1] = 0.588276f;	val_dir[11930*3 + 2] = -0.117655f;
 	val_dir[11931*3 + 0] = 0.800850f;	val_dir[11931*3 + 1] = 0.594917f;	val_dir[11931*3 + 2] = -0.068644f;
 	val_dir[11932*3 + 0] = 0.799803f;	val_dir[11932*3 + 1] = 0.599852f;	val_dir[11932*3 + 2] = -0.022217f;
 	val_dir[11933*3 + 0] = -0.613941f;	val_dir[11933*3 + 1] = -0.789352f;	val_dir[11933*3 + 2] = 0.0f;
 	val_dir[11934*3 + 0] = -0.610179f;	val_dir[11934*3 + 1] = -0.790973f;	val_dir[11934*3 + 2] = -0.045198f;
 	val_dir[11935*3 + 0] = -0.604815f;	val_dir[11935*3 + 1] = -0.790912f;	val_dir[11935*3 + 2] = -0.093048f;
 	val_dir[11936*3 + 0] = -0.597614f;	val_dir[11936*3 + 1] = -0.788851f;	val_dir[11936*3 + 2] = -0.143427f;
 	val_dir[11937*3 + 0] = -0.588348f;	val_dir[11937*3 + 1] = -0.784465f;	val_dir[11937*3 + 2] = -0.196116f;
 	val_dir[11938*3 + 0] = -0.576805f;	val_dir[11938*3 + 1] = -0.777433f;	val_dir[11938*3 + 2] = -0.250785f;
 	val_dir[11939*3 + 0] = -0.562809f;	val_dir[11939*3 + 1] = -0.767467f;	val_dir[11939*3 + 2] = -0.306987f;
 	val_dir[11940*3 + 0] = -0.546238f;	val_dir[11940*3 + 1] = -0.754329f;	val_dir[11940*3 + 2] = -0.364159f;
 	val_dir[11941*3 + 0] = -0.527046f;	val_dir[11941*3 + 1] = -0.737865f;	val_dir[11941*3 + 2] = -0.421637f;
 	val_dir[11942*3 + 0] = -0.505276f;	val_dir[11942*3 + 1] = -0.718024f;	val_dir[11942*3 + 2] = -0.478683f;
 	val_dir[11943*3 + 0] = -0.481070f;	val_dir[11943*3 + 1] = -0.694879f;	val_dir[11943*3 + 2] = -0.534522f;
 	val_dir[11944*3 + 0] = -0.454669f;	val_dir[11944*3 + 1] = -0.668631f;	val_dir[11944*3 + 2] = -0.588395f;
 	val_dir[11945*3 + 0] = -0.426401f;	val_dir[11945*3 + 1] = -0.639602f;	val_dir[11945*3 + 2] = -0.639602f;
 	val_dir[11946*3 + 0] = -0.396664f;	val_dir[11946*3 + 1] = -0.608219f;	val_dir[11946*3 + 2] = -0.687552f;
 	val_dir[11947*3 + 0] = -0.365896f;	val_dir[11947*3 + 1] = -0.574979f;	val_dir[11947*3 + 2] = -0.731792f;
 	val_dir[11948*3 + 0] = -0.334545f;	val_dir[11948*3 + 1] = -0.540419f;	val_dir[11948*3 + 2] = -0.772027f;
 	val_dir[11949*3 + 0] = -0.303046f;	val_dir[11949*3 + 1] = -0.505076f;	val_dir[11949*3 + 2] = -0.808122f;
 	val_dir[11950*3 + 0] = -0.271791f;	val_dir[11950*3 + 1] = -0.469458f;	val_dir[11950*3 + 2] = -0.840083f;
 	val_dir[11951*3 + 0] = -0.241121f;	val_dir[11951*3 + 1] = -0.434019f;	val_dir[11951*3 + 2] = -0.868037f;
 	val_dir[11952*3 + 0] = -0.211312f;	val_dir[11952*3 + 1] = -0.399145f;	val_dir[11952*3 + 2] = -0.892206f;
 	val_dir[11953*3 + 0] = -0.182574f;	val_dir[11953*3 + 1] = -0.365148f;	val_dir[11953*3 + 2] = -0.912871f;
 	val_dir[11954*3 + 0] = -0.155059f;	val_dir[11954*3 + 1] = -0.332269f;	val_dir[11954*3 + 2] = -0.930352f;
 	val_dir[11955*3 + 0] = -0.128861f;	val_dir[11955*3 + 1] = -0.300676f;	val_dir[11955*3 + 2] = -0.944981f;
 	val_dir[11956*3 + 0] = -0.104031f;	val_dir[11956*3 + 1] = -0.270481f;	val_dir[11956*3 + 2] = -0.957088f;
 	val_dir[11957*3 + 0] = -0.080582f;	val_dir[11957*3 + 1] = -0.241747f;	val_dir[11957*3 + 2] = -0.966988f;
 	val_dir[11958*3 + 0] = -0.058498f;	val_dir[11958*3 + 1] = -0.214494f;	val_dir[11958*3 + 2] = -0.974972f;
 	val_dir[11959*3 + 0] = -0.037743f;	val_dir[11959*3 + 1] = -0.188713f;	val_dir[11959*3 + 2] = -0.981307f;
 	val_dir[11960*3 + 0] = -0.018264f;	val_dir[11960*3 + 1] = -0.164372f;	val_dir[11960*3 + 2] = -0.986229f;
 	val_dir[11961*3 + 0] = 0.0f;	val_dir[11961*3 + 1] = -0.141421f;	val_dir[11961*3 + 2] = -0.989949f;
 	val_dir[11962*3 + 0] = 0.017716f;	val_dir[11962*3 + 1] = -0.124015f;	val_dir[11962*3 + 2] = -0.992122f;
 	val_dir[11963*3 + 0] = 0.035489f;	val_dir[11963*3 + 1] = -0.106466f;	val_dir[11963*3 + 2] = -0.993683f;
 	val_dir[11964*3 + 0] = 0.053283f;	val_dir[11964*3 + 1] = -0.088806f;	val_dir[11964*3 + 2] = -0.994623f;
 	val_dir[11965*3 + 0] = 0.071067f;	val_dir[11965*3 + 1] = -0.071067f;	val_dir[11965*3 + 2] = -0.994937f;
 	val_dir[11966*3 + 0] = 0.088806f;	val_dir[11966*3 + 1] = -0.053283f;	val_dir[11966*3 + 2] = -0.994623f;
 	val_dir[11967*3 + 0] = 0.106466f;	val_dir[11967*3 + 1] = -0.035489f;	val_dir[11967*3 + 2] = -0.993683f;
 	val_dir[11968*3 + 0] = 0.124015f;	val_dir[11968*3 + 1] = -0.017716f;	val_dir[11968*3 + 2] = -0.992122f;
 	val_dir[11969*3 + 0] = 0.141421f;	val_dir[11969*3 + 1] = 0.0f;	val_dir[11969*3 + 2] = -0.989949f;
 	val_dir[11970*3 + 0] = 0.164372f;	val_dir[11970*3 + 1] = 0.018264f;	val_dir[11970*3 + 2] = -0.986229f;
 	val_dir[11971*3 + 0] = 0.188713f;	val_dir[11971*3 + 1] = 0.037743f;	val_dir[11971*3 + 2] = -0.981307f;
 	val_dir[11972*3 + 0] = 0.214494f;	val_dir[11972*3 + 1] = 0.058498f;	val_dir[11972*3 + 2] = -0.974972f;
 	val_dir[11973*3 + 0] = 0.241747f;	val_dir[11973*3 + 1] = 0.080582f;	val_dir[11973*3 + 2] = -0.966988f;
 	val_dir[11974*3 + 0] = 0.270481f;	val_dir[11974*3 + 1] = 0.104031f;	val_dir[11974*3 + 2] = -0.957088f;
 	val_dir[11975*3 + 0] = 0.300676f;	val_dir[11975*3 + 1] = 0.128861f;	val_dir[11975*3 + 2] = -0.944981f;
 	val_dir[11976*3 + 0] = 0.332269f;	val_dir[11976*3 + 1] = 0.155059f;	val_dir[11976*3 + 2] = -0.930352f;
 	val_dir[11977*3 + 0] = 0.365148f;	val_dir[11977*3 + 1] = 0.182574f;	val_dir[11977*3 + 2] = -0.912871f;
 	val_dir[11978*3 + 0] = 0.399145f;	val_dir[11978*3 + 1] = 0.211312f;	val_dir[11978*3 + 2] = -0.892206f;
 	val_dir[11979*3 + 0] = 0.434019f;	val_dir[11979*3 + 1] = 0.241121f;	val_dir[11979*3 + 2] = -0.868037f;
 	val_dir[11980*3 + 0] = 0.469458f;	val_dir[11980*3 + 1] = 0.271791f;	val_dir[11980*3 + 2] = -0.840083f;
 	val_dir[11981*3 + 0] = 0.505076f;	val_dir[11981*3 + 1] = 0.303046f;	val_dir[11981*3 + 2] = -0.808122f;
 	val_dir[11982*3 + 0] = 0.540419f;	val_dir[11982*3 + 1] = 0.334545f;	val_dir[11982*3 + 2] = -0.772027f;
 	val_dir[11983*3 + 0] = 0.574979f;	val_dir[11983*3 + 1] = 0.365896f;	val_dir[11983*3 + 2] = -0.731792f;
 	val_dir[11984*3 + 0] = 0.608219f;	val_dir[11984*3 + 1] = 0.396664f;	val_dir[11984*3 + 2] = -0.687552f;
 	val_dir[11985*3 + 0] = 0.639602f;	val_dir[11985*3 + 1] = 0.426401f;	val_dir[11985*3 + 2] = -0.639602f;
 	val_dir[11986*3 + 0] = 0.668631f;	val_dir[11986*3 + 1] = 0.454669f;	val_dir[11986*3 + 2] = -0.588395f;
 	val_dir[11987*3 + 0] = 0.694879f;	val_dir[11987*3 + 1] = 0.481070f;	val_dir[11987*3 + 2] = -0.534522f;
 	val_dir[11988*3 + 0] = 0.718024f;	val_dir[11988*3 + 1] = 0.505276f;	val_dir[11988*3 + 2] = -0.478683f;
 	val_dir[11989*3 + 0] = 0.737865f;	val_dir[11989*3 + 1] = 0.527046f;	val_dir[11989*3 + 2] = -0.421637f;
 	val_dir[11990*3 + 0] = 0.754329f;	val_dir[11990*3 + 1] = 0.546238f;	val_dir[11990*3 + 2] = -0.364159f;
 	val_dir[11991*3 + 0] = 0.767467f;	val_dir[11991*3 + 1] = 0.562809f;	val_dir[11991*3 + 2] = -0.306987f;
 	val_dir[11992*3 + 0] = 0.777433f;	val_dir[11992*3 + 1] = 0.576805f;	val_dir[11992*3 + 2] = -0.250785f;
 	val_dir[11993*3 + 0] = 0.784465f;	val_dir[11993*3 + 1] = 0.588348f;	val_dir[11993*3 + 2] = -0.196116f;
 	val_dir[11994*3 + 0] = 0.788851f;	val_dir[11994*3 + 1] = 0.597614f;	val_dir[11994*3 + 2] = -0.143427f;
 	val_dir[11995*3 + 0] = 0.790912f;	val_dir[11995*3 + 1] = 0.604815f;	val_dir[11995*3 + 2] = -0.093048f;
 	val_dir[11996*3 + 0] = 0.790973f;	val_dir[11996*3 + 1] = 0.610179f;	val_dir[11996*3 + 2] = -0.045198f;
 	val_dir[11997*3 + 0] = 0.789352f;	val_dir[11997*3 + 1] = 0.613941f;	val_dir[11997*3 + 2] = 0.0f;
 	val_dir[11998*3 + 0] = -0.624540f;	val_dir[11998*3 + 1] = -0.780675f;	val_dir[11998*3 + 2] = -0.022305f;
 	val_dir[11999*3 + 0] = -0.620403f;	val_dir[11999*3 + 1] = -0.781248f;	val_dir[11999*3 + 2] = -0.068934f;
 	val_dir[12000*3 + 0] = -0.614535f;	val_dir[12000*3 + 1] = -0.779987f;	val_dir[12000*3 + 2] = -0.118180f;
 	val_dir[12001*3 + 0] = -0.606696f;	val_dir[12001*3 + 1] = -0.776571f;	val_dir[12001*3 + 2] = -0.169875f;
 	val_dir[12002*3 + 0] = -0.596653f;	val_dir[12002*3 + 1] = -0.770677f;	val_dir[12002*3 + 2] = -0.223745f;
 	val_dir[12003*3 + 0] = -0.584201f;	val_dir[12003*3 + 1] = -0.762001f;	val_dir[12003*3 + 2] = -0.27940f;
 	val_dir[12004*3 + 0] = -0.569177f;	val_dir[12004*3 + 1] = -0.750279f;	val_dir[12004*3 + 2] = -0.336332f;
 	val_dir[12005*3 + 0] = -0.551487f;	val_dir[12005*3 + 1] = -0.735316f;	val_dir[12005*3 + 2] = -0.393919f;
 	val_dir[12006*3 + 0] = -0.531119f;	val_dir[12006*3 + 1] = -0.717011f;	val_dir[12006*3 + 2] = -0.451451f;
 	val_dir[12007*3 + 0] = -0.508159f;	val_dir[12007*3 + 1] = -0.695376f;	val_dir[12007*3 + 2] = -0.508159f;
 	val_dir[12008*3 + 0] = -0.482798f;	val_dir[12008*3 + 1] = -0.670552f;	val_dir[12008*3 + 2] = -0.563264f;
 	val_dir[12009*3 + 0] = -0.455321f;	val_dir[12009*3 + 1] = -0.642806f;	val_dir[12009*3 + 2] = -0.616022f;
 	val_dir[12010*3 + 0] = -0.426099f;	val_dir[12010*3 + 1] = -0.612517f;	val_dir[12010*3 + 2] = -0.665780f;
 	val_dir[12011*3 + 0] = -0.395559f;	val_dir[12011*3 + 1] = -0.580154f;	val_dir[12011*3 + 2] = -0.712007f;
 	val_dir[12012*3 + 0] = -0.364159f;	val_dir[12012*3 + 1] = -0.546238f;	val_dir[12012*3 + 2] = -0.754329f;
 	val_dir[12013*3 + 0] = -0.332352f;	val_dir[12013*3 + 1] = -0.511310f;	val_dir[12013*3 + 2] = -0.792530f;
 	val_dir[12014*3 + 0] = -0.300564f;	val_dir[12014*3 + 1] = -0.475893f;	val_dir[12014*3 + 2] = -0.826551f;
 	val_dir[12015*3 + 0] = -0.269175f;	val_dir[12015*3 + 1] = -0.440468f;	val_dir[12015*3 + 2] = -0.856465f;
 	val_dir[12016*3 + 0] = -0.238501f;	val_dir[12016*3 + 1] = -0.405452f;	val_dir[12016*3 + 2] = -0.882454f;
 	val_dir[12017*3 + 0] = -0.208795f;	val_dir[12017*3 + 1] = -0.371191f;	val_dir[12017*3 + 2] = -0.904777f;
 	val_dir[12018*3 + 0] = -0.180242f;	val_dir[12018*3 + 1] = -0.337954f;	val_dir[12018*3 + 2] = -0.923742f;
 	val_dir[12019*3 + 0] = -0.152971f;	val_dir[12019*3 + 1] = -0.305942f;	val_dir[12019*3 + 2] = -0.939680f;
 	val_dir[12020*3 + 0] = -0.127057f;	val_dir[12020*3 + 1] = -0.275290f;	val_dir[12020*3 + 2] = -0.952928f;
 	val_dir[12021*3 + 0] = -0.102533f;	val_dir[12021*3 + 1] = -0.246079f;	val_dir[12021*3 + 2] = -0.963811f;
 	val_dir[12022*3 + 0] = -0.079399f;	val_dir[12022*3 + 1] = -0.218347f;	val_dir[12022*3 + 2] = -0.972636f;
 	val_dir[12023*3 + 0] = -0.057628f;	val_dir[12023*3 + 1] = -0.192095f;	val_dir[12023*3 + 2] = -0.979683f;
 	val_dir[12024*3 + 0] = -0.037178f;	val_dir[12024*3 + 1] = -0.167299f;	val_dir[12024*3 + 2] = -0.985205f;
 	val_dir[12025*3 + 0] = -0.017990f;	val_dir[12025*3 + 1] = -0.143917f;	val_dir[12025*3 + 2] = -0.989426f;
 	val_dir[12026*3 + 0] = 0.0f;	val_dir[12026*3 + 1] = -0.121891f;	val_dir[12026*3 + 2] = -0.992543f;
 	val_dir[12027*3 + 0] = 0.017445f;	val_dir[12027*3 + 1] = -0.104669f;	val_dir[12027*3 + 2] = -0.994354f;
 	val_dir[12028*3 + 0] = 0.034932f;	val_dir[12028*3 + 1] = -0.087330f;	val_dir[12028*3 + 2] = -0.995567f;
 	val_dir[12029*3 + 0] = 0.052430f;	val_dir[12029*3 + 1] = -0.069907f;	val_dir[12029*3 + 2] = -0.996175f;
 	val_dir[12030*3 + 0] = 0.069907f;	val_dir[12030*3 + 1] = -0.052430f;	val_dir[12030*3 + 2] = -0.996175f;
 	val_dir[12031*3 + 0] = 0.087330f;	val_dir[12031*3 + 1] = -0.034932f;	val_dir[12031*3 + 2] = -0.995567f;
 	val_dir[12032*3 + 0] = 0.104669f;	val_dir[12032*3 + 1] = -0.017445f;	val_dir[12032*3 + 2] = -0.994354f;
 	val_dir[12033*3 + 0] = 0.121891f;	val_dir[12033*3 + 1] = 0.0f;	val_dir[12033*3 + 2] = -0.992543f;
 	val_dir[12034*3 + 0] = 0.143917f;	val_dir[12034*3 + 1] = 0.017990f;	val_dir[12034*3 + 2] = -0.989426f;
 	val_dir[12035*3 + 0] = 0.167299f;	val_dir[12035*3 + 1] = 0.037178f;	val_dir[12035*3 + 2] = -0.985205f;
 	val_dir[12036*3 + 0] = 0.192095f;	val_dir[12036*3 + 1] = 0.057628f;	val_dir[12036*3 + 2] = -0.979683f;
 	val_dir[12037*3 + 0] = 0.218347f;	val_dir[12037*3 + 1] = 0.079399f;	val_dir[12037*3 + 2] = -0.972636f;
 	val_dir[12038*3 + 0] = 0.246079f;	val_dir[12038*3 + 1] = 0.102533f;	val_dir[12038*3 + 2] = -0.963811f;
 	val_dir[12039*3 + 0] = 0.275290f;	val_dir[12039*3 + 1] = 0.127057f;	val_dir[12039*3 + 2] = -0.952928f;
 	val_dir[12040*3 + 0] = 0.305942f;	val_dir[12040*3 + 1] = 0.152971f;	val_dir[12040*3 + 2] = -0.939680f;
 	val_dir[12041*3 + 0] = 0.337954f;	val_dir[12041*3 + 1] = 0.180242f;	val_dir[12041*3 + 2] = -0.923742f;
 	val_dir[12042*3 + 0] = 0.371191f;	val_dir[12042*3 + 1] = 0.208795f;	val_dir[12042*3 + 2] = -0.904777f;
 	val_dir[12043*3 + 0] = 0.405452f;	val_dir[12043*3 + 1] = 0.238501f;	val_dir[12043*3 + 2] = -0.882454f;
 	val_dir[12044*3 + 0] = 0.440468f;	val_dir[12044*3 + 1] = 0.269175f;	val_dir[12044*3 + 2] = -0.856465f;
 	val_dir[12045*3 + 0] = 0.475893f;	val_dir[12045*3 + 1] = 0.300564f;	val_dir[12045*3 + 2] = -0.826551f;
 	val_dir[12046*3 + 0] = 0.511310f;	val_dir[12046*3 + 1] = 0.332352f;	val_dir[12046*3 + 2] = -0.792530f;
 	val_dir[12047*3 + 0] = 0.546238f;	val_dir[12047*3 + 1] = 0.364159f;	val_dir[12047*3 + 2] = -0.754329f;
 	val_dir[12048*3 + 0] = 0.580154f;	val_dir[12048*3 + 1] = 0.395559f;	val_dir[12048*3 + 2] = -0.712007f;
 	val_dir[12049*3 + 0] = 0.612517f;	val_dir[12049*3 + 1] = 0.426099f;	val_dir[12049*3 + 2] = -0.665780f;
 	val_dir[12050*3 + 0] = 0.642806f;	val_dir[12050*3 + 1] = 0.455321f;	val_dir[12050*3 + 2] = -0.616022f;
 	val_dir[12051*3 + 0] = 0.670552f;	val_dir[12051*3 + 1] = 0.482798f;	val_dir[12051*3 + 2] = -0.563264f;
 	val_dir[12052*3 + 0] = 0.695376f;	val_dir[12052*3 + 1] = 0.508159f;	val_dir[12052*3 + 2] = -0.508159f;
 	val_dir[12053*3 + 0] = 0.717011f;	val_dir[12053*3 + 1] = 0.531119f;	val_dir[12053*3 + 2] = -0.451451f;
 	val_dir[12054*3 + 0] = 0.735316f;	val_dir[12054*3 + 1] = 0.551487f;	val_dir[12054*3 + 2] = -0.393919f;
 	val_dir[12055*3 + 0] = 0.750279f;	val_dir[12055*3 + 1] = 0.569177f;	val_dir[12055*3 + 2] = -0.336332f;
 	val_dir[12056*3 + 0] = 0.762001f;	val_dir[12056*3 + 1] = 0.584201f;	val_dir[12056*3 + 2] = -0.27940f;
 	val_dir[12057*3 + 0] = 0.770677f;	val_dir[12057*3 + 1] = 0.596653f;	val_dir[12057*3 + 2] = -0.223745f;
 	val_dir[12058*3 + 0] = 0.776571f;	val_dir[12058*3 + 1] = 0.606696f;	val_dir[12058*3 + 2] = -0.169875f;
 	val_dir[12059*3 + 0] = 0.779987f;	val_dir[12059*3 + 1] = 0.614535f;	val_dir[12059*3 + 2] = -0.118180f;
 	val_dir[12060*3 + 0] = 0.781248f;	val_dir[12060*3 + 1] = 0.620403f;	val_dir[12060*3 + 2] = -0.068934f;
 	val_dir[12061*3 + 0] = 0.780675f;	val_dir[12061*3 + 1] = 0.624540f;	val_dir[12061*3 + 2] = -0.022305f;
 	val_dir[12062*3 + 0] = -0.638018f;	val_dir[12062*3 + 1] = -0.770022f;	val_dir[12062*3 + 2] = 0.0f;
 	val_dir[12063*3 + 0] = -0.635053f;	val_dir[12063*3 + 1] = -0.771136f;	val_dir[12063*3 + 2] = -0.045361f;
 	val_dir[12064*3 + 0] = -0.630470f;	val_dir[12064*3 + 1] = -0.770574f;	val_dir[12064*3 + 2] = -0.093403f;
 	val_dir[12065*3 + 0] = -0.624020f;	val_dir[12065*3 + 1] = -0.768025f;	val_dir[12065*3 + 2] = -0.144005f;
 	val_dir[12066*3 + 0] = -0.615457f;	val_dir[12066*3 + 1] = -0.763167f;	val_dir[12066*3 + 2] = -0.196946f;
 	val_dir[12067*3 + 0] = -0.604551f;	val_dir[12067*3 + 1] = -0.755689f;	val_dir[12067*3 + 2] = -0.251896f;
 	val_dir[12068*3 + 0] = -0.591105f;	val_dir[12068*3 + 1] = -0.745307f;	val_dir[12068*3 + 2] = -0.308403f;
 	val_dir[12069*3 + 0] = -0.574979f;	val_dir[12069*3 + 1] = -0.731792f;	val_dir[12069*3 + 2] = -0.365896f;
 	val_dir[12070*3 + 0] = -0.556108f;	val_dir[12070*3 + 1] = -0.714997f;	val_dir[12070*3 + 2] = -0.423702f;
 	val_dir[12071*3 + 0] = -0.534522f;	val_dir[12071*3 + 1] = -0.694879f;	val_dir[12071*3 + 2] = -0.481070f;
 	val_dir[12072*3 + 0] = -0.510355f;	val_dir[12072*3 + 1] = -0.671519f;	val_dir[12072*3 + 2] = -0.537215f;
 	val_dir[12073*3 + 0] = -0.483843f;	val_dir[12073*3 + 1] = -0.645124f;	val_dir[12073*3 + 2] = -0.591364f;
 	val_dir[12074*3 + 0] = -0.455321f;	val_dir[12074*3 + 1] = -0.616022f;	val_dir[12074*3 + 2] = -0.642806f;
 	val_dir[12075*3 + 0] = -0.425195f;	val_dir[12075*3 + 1] = -0.584643f;	val_dir[12075*3 + 2] = -0.690942f;
 	val_dir[12076*3 + 0] = -0.393919f;	val_dir[12076*3 + 1] = -0.551487f;	val_dir[12076*3 + 2] = -0.735316f;
 	val_dir[12077*3 + 0] = -0.361961f;	val_dir[12077*3 + 1] = -0.517088f;	val_dir[12077*3 + 2] = -0.775632f;
 	val_dir[12078*3 + 0] = -0.329775f;	val_dir[12078*3 + 1] = -0.481979f;	val_dir[12078*3 + 2] = -0.811754f;
 	val_dir[12079*3 + 0] = -0.297775f;	val_dir[12079*3 + 1] = -0.446662f;	val_dir[12079*3 + 2] = -0.843696f;
 	val_dir[12080*3 + 0] = -0.266320f;	val_dir[12080*3 + 1] = -0.411585f;	val_dir[12080*3 + 2] = -0.871592f;
 	val_dir[12081*3 + 0] = -0.235702f;	val_dir[12081*3 + 1] = -0.377124f;	val_dir[12081*3 + 2] = -0.895669f;
 	val_dir[12082*3 + 0] = -0.206149f;	val_dir[12082*3 + 1] = -0.343582f;	val_dir[12082*3 + 2] = -0.916217f;
 	val_dir[12083*3 + 0] = -0.177822f;	val_dir[12083*3 + 1] = -0.311188f;	val_dir[12083*3 + 2] = -0.933564f;
 	val_dir[12084*3 + 0] = -0.150826f;	val_dir[12084*3 + 1] = -0.280105f;	val_dir[12084*3 + 2] = -0.948047f;
 	val_dir[12085*3 + 0] = -0.125218f;	val_dir[12085*3 + 1] = -0.250435f;	val_dir[12085*3 + 2] = -0.960001f;
 	val_dir[12086*3 + 0] = -0.101015f;	val_dir[12086*3 + 1] = -0.222234f;	val_dir[12086*3 + 2] = -0.969746f;
 	val_dir[12087*3 + 0] = -0.078206f;	val_dir[12087*3 + 1] = -0.195515f;	val_dir[12087*3 + 2] = -0.977577f;
 	val_dir[12088*3 + 0] = -0.056756f;	val_dir[12088*3 + 1] = -0.170267f;	val_dir[12088*3 + 2] = -0.983762f;
 	val_dir[12089*3 + 0] = -0.036613f;	val_dir[12089*3 + 1] = -0.146450f;	val_dir[12089*3 + 2] = -0.988540f;
 	val_dir[12090*3 + 0] = -0.017716f;	val_dir[12090*3 + 1] = -0.124015f;	val_dir[12090*3 + 2] = -0.992122f;
 	val_dir[12091*3 + 0] = 0.0f;	val_dir[12091*3 + 1] = -0.102899f;	val_dir[12091*3 + 2] = -0.994692f;
 	val_dir[12092*3 + 0] = 0.017175f;	val_dir[12092*3 + 1] = -0.085876f;	val_dir[12092*3 + 2] = -0.996158f;
 	val_dir[12093*3 + 0] = 0.034381f;	val_dir[12093*3 + 1] = -0.068761f;	val_dir[12093*3 + 2] = -0.997041f;
 	val_dir[12094*3 + 0] = 0.051586f;	val_dir[12094*3 + 1] = -0.051586f;	val_dir[12094*3 + 2] = -0.997335f;
 	val_dir[12095*3 + 0] = 0.068761f;	val_dir[12095*3 + 1] = -0.034381f;	val_dir[12095*3 + 2] = -0.997041f;
 	val_dir[12096*3 + 0] = 0.085876f;	val_dir[12096*3 + 1] = -0.017175f;	val_dir[12096*3 + 2] = -0.996158f;
 	val_dir[12097*3 + 0] = 0.102899f;	val_dir[12097*3 + 1] = 0.0f;	val_dir[12097*3 + 2] = -0.994692f;
 	val_dir[12098*3 + 0] = 0.124015f;	val_dir[12098*3 + 1] = 0.017716f;	val_dir[12098*3 + 2] = -0.992122f;
 	val_dir[12099*3 + 0] = 0.146450f;	val_dir[12099*3 + 1] = 0.036613f;	val_dir[12099*3 + 2] = -0.988540f;
 	val_dir[12100*3 + 0] = 0.170267f;	val_dir[12100*3 + 1] = 0.056756f;	val_dir[12100*3 + 2] = -0.983762f;
 	val_dir[12101*3 + 0] = 0.195515f;	val_dir[12101*3 + 1] = 0.078206f;	val_dir[12101*3 + 2] = -0.977577f;
 	val_dir[12102*3 + 0] = 0.222234f;	val_dir[12102*3 + 1] = 0.101015f;	val_dir[12102*3 + 2] = -0.969746f;
 	val_dir[12103*3 + 0] = 0.250435f;	val_dir[12103*3 + 1] = 0.125218f;	val_dir[12103*3 + 2] = -0.960001f;
 	val_dir[12104*3 + 0] = 0.280105f;	val_dir[12104*3 + 1] = 0.150826f;	val_dir[12104*3 + 2] = -0.948047f;
 	val_dir[12105*3 + 0] = 0.311188f;	val_dir[12105*3 + 1] = 0.177822f;	val_dir[12105*3 + 2] = -0.933564f;
 	val_dir[12106*3 + 0] = 0.343582f;	val_dir[12106*3 + 1] = 0.206149f;	val_dir[12106*3 + 2] = -0.916217f;
 	val_dir[12107*3 + 0] = 0.377124f;	val_dir[12107*3 + 1] = 0.235702f;	val_dir[12107*3 + 2] = -0.895669f;
 	val_dir[12108*3 + 0] = 0.411585f;	val_dir[12108*3 + 1] = 0.266320f;	val_dir[12108*3 + 2] = -0.871592f;
 	val_dir[12109*3 + 0] = 0.446662f;	val_dir[12109*3 + 1] = 0.297775f;	val_dir[12109*3 + 2] = -0.843696f;
 	val_dir[12110*3 + 0] = 0.481979f;	val_dir[12110*3 + 1] = 0.329775f;	val_dir[12110*3 + 2] = -0.811754f;
 	val_dir[12111*3 + 0] = 0.517088f;	val_dir[12111*3 + 1] = 0.361961f;	val_dir[12111*3 + 2] = -0.775632f;
 	val_dir[12112*3 + 0] = 0.551487f;	val_dir[12112*3 + 1] = 0.393919f;	val_dir[12112*3 + 2] = -0.735316f;
 	val_dir[12113*3 + 0] = 0.584643f;	val_dir[12113*3 + 1] = 0.425195f;	val_dir[12113*3 + 2] = -0.690942f;
 	val_dir[12114*3 + 0] = 0.616022f;	val_dir[12114*3 + 1] = 0.455321f;	val_dir[12114*3 + 2] = -0.642806f;
 	val_dir[12115*3 + 0] = 0.645124f;	val_dir[12115*3 + 1] = 0.483843f;	val_dir[12115*3 + 2] = -0.591364f;
 	val_dir[12116*3 + 0] = 0.671519f;	val_dir[12116*3 + 1] = 0.510355f;	val_dir[12116*3 + 2] = -0.537215f;
 	val_dir[12117*3 + 0] = 0.694879f;	val_dir[12117*3 + 1] = 0.534522f;	val_dir[12117*3 + 2] = -0.481070f;
 	val_dir[12118*3 + 0] = 0.714997f;	val_dir[12118*3 + 1] = 0.556108f;	val_dir[12118*3 + 2] = -0.423702f;
 	val_dir[12119*3 + 0] = 0.731792f;	val_dir[12119*3 + 1] = 0.574979f;	val_dir[12119*3 + 2] = -0.365896f;
 	val_dir[12120*3 + 0] = 0.745307f;	val_dir[12120*3 + 1] = 0.591105f;	val_dir[12120*3 + 2] = -0.308403f;
 	val_dir[12121*3 + 0] = 0.755689f;	val_dir[12121*3 + 1] = 0.604551f;	val_dir[12121*3 + 2] = -0.251896f;
 	val_dir[12122*3 + 0] = 0.763167f;	val_dir[12122*3 + 1] = 0.615457f;	val_dir[12122*3 + 2] = -0.196946f;
 	val_dir[12123*3 + 0] = 0.768025f;	val_dir[12123*3 + 1] = 0.624020f;	val_dir[12123*3 + 2] = -0.144005f;
 	val_dir[12124*3 + 0] = 0.770574f;	val_dir[12124*3 + 1] = 0.630470f;	val_dir[12124*3 + 2] = -0.093403f;
 	val_dir[12125*3 + 0] = 0.771136f;	val_dir[12125*3 + 1] = 0.635053f;	val_dir[12125*3 + 2] = -0.045361f;
 	val_dir[12126*3 + 0] = 0.770022f;	val_dir[12126*3 + 1] = 0.638018f;	val_dir[12126*3 + 2] = 0.0f;
 	val_dir[12127*3 + 0] = -0.648784f;	val_dir[12127*3 + 1] = -0.760644f;	val_dir[12127*3 + 2] = -0.022372f;
 	val_dir[12128*3 + 0] = -0.645429f;	val_dir[12128*3 + 1] = -0.760684f;	val_dir[12128*3 + 2] = -0.069153f;
 	val_dir[12129*3 + 0] = -0.640321f;	val_dir[12129*3 + 1] = -0.758899f;	val_dir[12129*3 + 2] = -0.118578f;
 	val_dir[12130*3 + 0] = -0.633205f;	val_dir[12130*3 + 1] = -0.754976f;	val_dir[12130*3 + 2] = -0.170478f;
 	val_dir[12131*3 + 0] = -0.623831f;	val_dir[12131*3 + 1] = -0.748598f;	val_dir[12131*3 + 2] = -0.224579f;
 	val_dir[12132*3 + 0] = -0.611974f;	val_dir[12132*3 + 1] = -0.739469f;	val_dir[12132*3 + 2] = -0.280488f;
 	val_dir[12133*3 + 0] = -0.597453f;	val_dir[12133*3 + 1] = -0.727334f;	val_dir[12133*3 + 2] = -0.337691f;
 	val_dir[12134*3 + 0] = -0.580154f;	val_dir[12134*3 + 1] = -0.712007f;	val_dir[12134*3 + 2] = -0.395559f;
 	val_dir[12135*3 + 0] = -0.560050f;	val_dir[12135*3 + 1] = -0.693395f;	val_dir[12135*3 + 2] = -0.453374f;
 	val_dir[12136*3 + 0] = -0.537215f;	val_dir[12136*3 + 1] = -0.671519f;	val_dir[12136*3 + 2] = -0.510355f;
 	val_dir[12137*3 + 0] = -0.511834f;	val_dir[12137*3 + 1] = -0.646527f;	val_dir[12137*3 + 2] = -0.565711f;
 	val_dir[12138*3 + 0] = -0.484193f;	val_dir[12138*3 + 1] = -0.618691f;	val_dir[12138*3 + 2] = -0.618691f;
 	val_dir[12139*3 + 0] = -0.454669f;	val_dir[12139*3 + 1] = -0.588395f;	val_dir[12139*3 + 2] = -0.668631f;
 	val_dir[12140*3 + 0] = -0.423702f;	val_dir[12140*3 + 1] = -0.556108f;	val_dir[12140*3 + 2] = -0.714997f;
 	val_dir[12141*3 + 0] = -0.391764f;	val_dir[12141*3 + 1] = -0.522352f;	val_dir[12141*3 + 2] = -0.757410f;
 	val_dir[12142*3 + 0] = -0.359329f;	val_dir[12142*3 + 1] = -0.487661f;	val_dir[12142*3 + 2] = -0.795657f;
 	val_dir[12143*3 + 0] = -0.326844f;	val_dir[12143*3 + 1] = -0.452553f;	val_dir[12143*3 + 2] = -0.829680f;
 	val_dir[12144*3 + 0] = -0.294706f;	val_dir[12144*3 + 1] = -0.41750f;	val_dir[12144*3 + 2] = -0.859559f;
 	val_dir[12145*3 + 0] = -0.263251f;	val_dir[12145*3 + 1] = -0.382911f;	val_dir[12145*3 + 2] = -0.885482f;
 	val_dir[12146*3 + 0] = -0.232747f;	val_dir[12146*3 + 1] = -0.349121f;	val_dir[12146*3 + 2] = -0.907713f;
 	val_dir[12147*3 + 0] = -0.203393f;	val_dir[12147*3 + 1] = -0.316389f;	val_dir[12147*3 + 2] = -0.926568f;
 	val_dir[12148*3 + 0] = -0.175327f;	val_dir[12148*3 + 1] = -0.284907f;	val_dir[12148*3 + 2] = -0.942384f;
 	val_dir[12149*3 + 0] = -0.148634f;	val_dir[12149*3 + 1] = -0.254801f;	val_dir[12149*3 + 2] = -0.955502f;
 	val_dir[12150*3 + 0] = -0.123351f;	val_dir[12150*3 + 1] = -0.226144f;	val_dir[12150*3 + 2] = -0.966252f;
 	val_dir[12151*3 + 0] = -0.099484f;	val_dir[12151*3 + 1] = -0.198968f;	val_dir[12151*3 + 2] = -0.974943f;
 	val_dir[12152*3 + 0] = -0.077009f;	val_dir[12152*3 + 1] = -0.173269f;	val_dir[12152*3 + 2] = -0.981859f;
 	val_dir[12153*3 + 0] = -0.055882f;	val_dir[12153*3 + 1] = -0.149019f;	val_dir[12153*3 + 2] = -0.987254f;
 	val_dir[12154*3 + 0] = -0.036049f;	val_dir[12154*3 + 1] = -0.126172f;	val_dir[12154*3 + 2] = -0.991353f;
 	val_dir[12155*3 + 0] = -0.017445f;	val_dir[12155*3 + 1] = -0.104669f;	val_dir[12155*3 + 2] = -0.994354f;
 	val_dir[12156*3 + 0] = 0.0f;	val_dir[12156*3 + 1] = -0.084443f;	val_dir[12156*3 + 2] = -0.996428f;
 	val_dir[12157*3 + 0] = 0.016908f;	val_dir[12157*3 + 1] = -0.067632f;	val_dir[12157*3 + 2] = -0.997567f;
 	val_dir[12158*3 + 0] = 0.033835f;	val_dir[12158*3 + 1] = -0.050753f;	val_dir[12158*3 + 2] = -0.998138f;
 	val_dir[12159*3 + 0] = 0.050753f;	val_dir[12159*3 + 1] = -0.033835f;	val_dir[12159*3 + 2] = -0.998138f;
 	val_dir[12160*3 + 0] = 0.067632f;	val_dir[12160*3 + 1] = -0.016908f;	val_dir[12160*3 + 2] = -0.997567f;
 	val_dir[12161*3 + 0] = 0.084443f;	val_dir[12161*3 + 1] = 0.0f;	val_dir[12161*3 + 2] = -0.996428f;
 	val_dir[12162*3 + 0] = 0.104669f;	val_dir[12162*3 + 1] = 0.017445f;	val_dir[12162*3 + 2] = -0.994354f;
 	val_dir[12163*3 + 0] = 0.126172f;	val_dir[12163*3 + 1] = 0.036049f;	val_dir[12163*3 + 2] = -0.991353f;
 	val_dir[12164*3 + 0] = 0.149019f;	val_dir[12164*3 + 1] = 0.055882f;	val_dir[12164*3 + 2] = -0.987254f;
 	val_dir[12165*3 + 0] = 0.173269f;	val_dir[12165*3 + 1] = 0.077009f;	val_dir[12165*3 + 2] = -0.981859f;
 	val_dir[12166*3 + 0] = 0.198968f;	val_dir[12166*3 + 1] = 0.099484f;	val_dir[12166*3 + 2] = -0.974943f;
 	val_dir[12167*3 + 0] = 0.226144f;	val_dir[12167*3 + 1] = 0.123351f;	val_dir[12167*3 + 2] = -0.966252f;
 	val_dir[12168*3 + 0] = 0.254801f;	val_dir[12168*3 + 1] = 0.148634f;	val_dir[12168*3 + 2] = -0.955502f;
 	val_dir[12169*3 + 0] = 0.284907f;	val_dir[12169*3 + 1] = 0.175327f;	val_dir[12169*3 + 2] = -0.942384f;
 	val_dir[12170*3 + 0] = 0.316389f;	val_dir[12170*3 + 1] = 0.203393f;	val_dir[12170*3 + 2] = -0.926568f;
 	val_dir[12171*3 + 0] = 0.349121f;	val_dir[12171*3 + 1] = 0.232747f;	val_dir[12171*3 + 2] = -0.907713f;
 	val_dir[12172*3 + 0] = 0.382911f;	val_dir[12172*3 + 1] = 0.263251f;	val_dir[12172*3 + 2] = -0.885482f;
 	val_dir[12173*3 + 0] = 0.41750f;	val_dir[12173*3 + 1] = 0.294706f;	val_dir[12173*3 + 2] = -0.859559f;
 	val_dir[12174*3 + 0] = 0.452553f;	val_dir[12174*3 + 1] = 0.326844f;	val_dir[12174*3 + 2] = -0.829680f;
 	val_dir[12175*3 + 0] = 0.487661f;	val_dir[12175*3 + 1] = 0.359329f;	val_dir[12175*3 + 2] = -0.795657f;
 	val_dir[12176*3 + 0] = 0.522352f;	val_dir[12176*3 + 1] = 0.391764f;	val_dir[12176*3 + 2] = -0.757410f;
 	val_dir[12177*3 + 0] = 0.556108f;	val_dir[12177*3 + 1] = 0.423702f;	val_dir[12177*3 + 2] = -0.714997f;
 	val_dir[12178*3 + 0] = 0.588395f;	val_dir[12178*3 + 1] = 0.454669f;	val_dir[12178*3 + 2] = -0.668631f;
 	val_dir[12179*3 + 0] = 0.618691f;	val_dir[12179*3 + 1] = 0.484193f;	val_dir[12179*3 + 2] = -0.618691f;
 	val_dir[12180*3 + 0] = 0.646527f;	val_dir[12180*3 + 1] = 0.511834f;	val_dir[12180*3 + 2] = -0.565711f;
 	val_dir[12181*3 + 0] = 0.671519f;	val_dir[12181*3 + 1] = 0.537215f;	val_dir[12181*3 + 2] = -0.510355f;
 	val_dir[12182*3 + 0] = 0.693395f;	val_dir[12182*3 + 1] = 0.560050f;	val_dir[12182*3 + 2] = -0.453374f;
 	val_dir[12183*3 + 0] = 0.712007f;	val_dir[12183*3 + 1] = 0.580154f;	val_dir[12183*3 + 2] = -0.395559f;
 	val_dir[12184*3 + 0] = 0.727334f;	val_dir[12184*3 + 1] = 0.597453f;	val_dir[12184*3 + 2] = -0.337691f;
 	val_dir[12185*3 + 0] = 0.739469f;	val_dir[12185*3 + 1] = 0.611974f;	val_dir[12185*3 + 2] = -0.280488f;
 	val_dir[12186*3 + 0] = 0.748598f;	val_dir[12186*3 + 1] = 0.623831f;	val_dir[12186*3 + 2] = -0.224579f;
 	val_dir[12187*3 + 0] = 0.754976f;	val_dir[12187*3 + 1] = 0.633205f;	val_dir[12187*3 + 2] = -0.170478f;
 	val_dir[12188*3 + 0] = 0.758899f;	val_dir[12188*3 + 1] = 0.640321f;	val_dir[12188*3 + 2] = -0.118578f;
 	val_dir[12189*3 + 0] = 0.760684f;	val_dir[12189*3 + 1] = 0.645429f;	val_dir[12189*3 + 2] = -0.069153f;
 	val_dir[12190*3 + 0] = 0.760644f;	val_dir[12190*3 + 1] = 0.648784f;	val_dir[12190*3 + 2] = -0.022372f;
 	val_dir[12191*3 + 0] = -0.661622f;	val_dir[12191*3 + 1] = -0.749838f;	val_dir[12191*3 + 2] = 0.0f;
 	val_dir[12192*3 + 0] = -0.659432f;	val_dir[12192*3 + 1] = -0.750388f;	val_dir[12192*3 + 2] = -0.045478f;
 	val_dir[12193*3 + 0] = -0.655610f;	val_dir[12193*3 + 1] = -0.749269f;	val_dir[12193*3 + 2] = -0.093659f;
 	val_dir[12194*3 + 0] = -0.649895f;	val_dir[12194*3 + 1] = -0.746176f;	val_dir[12194*3 + 2] = -0.144421f;
 	val_dir[12195*3 + 0] = -0.642024f;	val_dir[12195*3 + 1] = -0.740797f;	val_dir[12195*3 + 2] = -0.197546f;
 	val_dir[12196*3 + 0] = -0.631748f;	val_dir[12196*3 + 1] = -0.732828f;	val_dir[12196*3 + 2] = -0.252699f;
 	val_dir[12197*3 + 0] = -0.618853f;	val_dir[12197*3 + 1] = -0.721995f;	val_dir[12197*3 + 2] = -0.309426f;
 	val_dir[12198*3 + 0] = -0.603178f;	val_dir[12198*3 + 1] = -0.708079f;	val_dir[12198*3 + 2] = -0.367152f;
 	val_dir[12199*3 + 0] = -0.584643f;	val_dir[12199*3 + 1] = -0.690942f;	val_dir[12199*3 + 2] = -0.425195f;
 	val_dir[12200*3 + 0] = -0.563264f;	val_dir[12200*3 + 1] = -0.670552f;	val_dir[12200*3 + 2] = -0.482798f;
 	val_dir[12201*3 + 0] = -0.539164f;	val_dir[12201*3 + 1] = -0.646997f;	val_dir[12201*3 + 2] = -0.539164f;
 	val_dir[12202*3 + 0] = -0.512578f;	val_dir[12202*3 + 1] = -0.620490f;	val_dir[12202*3 + 2] = -0.593512f;
 	val_dir[12203*3 + 0] = -0.483843f;	val_dir[12203*3 + 1] = -0.591364f;	val_dir[12203*3 + 2] = -0.645124f;
 	val_dir[12204*3 + 0] = -0.453374f;	val_dir[12204*3 + 1] = -0.560050f;	val_dir[12204*3 + 2] = -0.693395f;
 	val_dir[12205*3 + 0] = -0.421637f;	val_dir[12205*3 + 1] = -0.527046f;	val_dir[12205*3 + 2] = -0.737865f;
 	val_dir[12206*3 + 0] = -0.389118f;	val_dir[12206*3 + 1] = -0.492883f;	val_dir[12206*3 + 2] = -0.778237f;
 	val_dir[12207*3 + 0] = -0.356291f;	val_dir[12207*3 + 1] = -0.458088f;	val_dir[12207*3 + 2] = -0.814379f;
 	val_dir[12208*3 + 0] = -0.323587f;	val_dir[12208*3 + 1] = -0.423153f;	val_dir[12208*3 + 2] = -0.846305f;
 	val_dir[12209*3 + 0] = -0.291386f;	val_dir[12209*3 + 1] = -0.388514f;	val_dir[12209*3 + 2] = -0.874157f;
 	val_dir[12210*3 + 0] = -0.259996f;	val_dir[12210*3 + 1] = -0.354540f;	val_dir[12210*3 + 2] = -0.898167f;
 	val_dir[12211*3 + 0] = -0.229658f;	val_dir[12211*3 + 1] = -0.321521f;	val_dir[12211*3 + 2] = -0.918630f;
 	val_dir[12212*3 + 0] = -0.200545f;	val_dir[12212*3 + 1] = -0.289677f;	val_dir[12212*3 + 2] = -0.935879f;
 	val_dir[12213*3 + 0] = -0.172774f;	val_dir[12213*3 + 1] = -0.259161f;	val_dir[12213*3 + 2] = -0.950255f;
 	val_dir[12214*3 + 0] = -0.146406f;	val_dir[12214*3 + 1] = -0.230067f;	val_dir[12214*3 + 2] = -0.962099f;
 	val_dir[12215*3 + 0] = -0.121466f;	val_dir[12215*3 + 1] = -0.202444f;	val_dir[12215*3 + 2] = -0.971732f;
 	val_dir[12216*3 + 0] = -0.097945f;	val_dir[12216*3 + 1] = -0.176301f;	val_dir[12216*3 + 2] = -0.979451f;
 	val_dir[12217*3 + 0] = -0.075810f;	val_dir[12217*3 + 1] = -0.151620f;	val_dir[12217*3 + 2] = -0.985527f;
 	val_dir[12218*3 + 0] = -0.055011f;	val_dir[12218*3 + 1] = -0.128359f;	val_dir[12218*3 + 2] = -0.990201f;
 	val_dir[12219*3 + 0] = -0.035489f;	val_dir[12219*3 + 1] = -0.106466f;	val_dir[12219*3 + 2] = -0.993683f;
 	val_dir[12220*3 + 0] = -0.017175f;	val_dir[12220*3 + 1] = -0.085876f;	val_dir[12220*3 + 2] = -0.996158f;
 	val_dir[12221*3 + 0] = 0.0f;	val_dir[12221*3 + 1] = -0.066519f;	val_dir[12221*3 + 2] = -0.997785f;
 	val_dir[12222*3 + 0] = 0.016644f;	val_dir[12222*3 + 1] = -0.049931f;	val_dir[12222*3 + 2] = -0.998614f;
 	val_dir[12223*3 + 0] = 0.033296f;	val_dir[12223*3 + 1] = -0.033296f;	val_dir[12223*3 + 2] = -0.998891f;
 	val_dir[12224*3 + 0] = 0.049931f;	val_dir[12224*3 + 1] = -0.016644f;	val_dir[12224*3 + 2] = -0.998614f;
 	val_dir[12225*3 + 0] = 0.066519f;	val_dir[12225*3 + 1] = 0.0f;	val_dir[12225*3 + 2] = -0.997785f;
 	val_dir[12226*3 + 0] = 0.085876f;	val_dir[12226*3 + 1] = 0.017175f;	val_dir[12226*3 + 2] = -0.996158f;
 	val_dir[12227*3 + 0] = 0.106466f;	val_dir[12227*3 + 1] = 0.035489f;	val_dir[12227*3 + 2] = -0.993683f;
 	val_dir[12228*3 + 0] = 0.128359f;	val_dir[12228*3 + 1] = 0.055011f;	val_dir[12228*3 + 2] = -0.990201f;
 	val_dir[12229*3 + 0] = 0.151620f;	val_dir[12229*3 + 1] = 0.075810f;	val_dir[12229*3 + 2] = -0.985527f;
 	val_dir[12230*3 + 0] = 0.176301f;	val_dir[12230*3 + 1] = 0.097945f;	val_dir[12230*3 + 2] = -0.979451f;
 	val_dir[12231*3 + 0] = 0.202444f;	val_dir[12231*3 + 1] = 0.121466f;	val_dir[12231*3 + 2] = -0.971732f;
 	val_dir[12232*3 + 0] = 0.230067f;	val_dir[12232*3 + 1] = 0.146406f;	val_dir[12232*3 + 2] = -0.962099f;
 	val_dir[12233*3 + 0] = 0.259161f;	val_dir[12233*3 + 1] = 0.172774f;	val_dir[12233*3 + 2] = -0.950255f;
 	val_dir[12234*3 + 0] = 0.289677f;	val_dir[12234*3 + 1] = 0.200545f;	val_dir[12234*3 + 2] = -0.935879f;
 	val_dir[12235*3 + 0] = 0.321521f;	val_dir[12235*3 + 1] = 0.229658f;	val_dir[12235*3 + 2] = -0.918630f;
 	val_dir[12236*3 + 0] = 0.354540f;	val_dir[12236*3 + 1] = 0.259996f;	val_dir[12236*3 + 2] = -0.898167f;
 	val_dir[12237*3 + 0] = 0.388514f;	val_dir[12237*3 + 1] = 0.291386f;	val_dir[12237*3 + 2] = -0.874157f;
 	val_dir[12238*3 + 0] = 0.423153f;	val_dir[12238*3 + 1] = 0.323587f;	val_dir[12238*3 + 2] = -0.846305f;
 	val_dir[12239*3 + 0] = 0.458088f;	val_dir[12239*3 + 1] = 0.356291f;	val_dir[12239*3 + 2] = -0.814379f;
 	val_dir[12240*3 + 0] = 0.492883f;	val_dir[12240*3 + 1] = 0.389118f;	val_dir[12240*3 + 2] = -0.778237f;
 	val_dir[12241*3 + 0] = 0.527046f;	val_dir[12241*3 + 1] = 0.421637f;	val_dir[12241*3 + 2] = -0.737865f;
 	val_dir[12242*3 + 0] = 0.560050f;	val_dir[12242*3 + 1] = 0.453374f;	val_dir[12242*3 + 2] = -0.693395f;
 	val_dir[12243*3 + 0] = 0.591364f;	val_dir[12243*3 + 1] = 0.483843f;	val_dir[12243*3 + 2] = -0.645124f;
 	val_dir[12244*3 + 0] = 0.620490f;	val_dir[12244*3 + 1] = 0.512578f;	val_dir[12244*3 + 2] = -0.593512f;
 	val_dir[12245*3 + 0] = 0.646997f;	val_dir[12245*3 + 1] = 0.539164f;	val_dir[12245*3 + 2] = -0.539164f;
 	val_dir[12246*3 + 0] = 0.670552f;	val_dir[12246*3 + 1] = 0.563264f;	val_dir[12246*3 + 2] = -0.482798f;
 	val_dir[12247*3 + 0] = 0.690942f;	val_dir[12247*3 + 1] = 0.584643f;	val_dir[12247*3 + 2] = -0.425195f;
 	val_dir[12248*3 + 0] = 0.708079f;	val_dir[12248*3 + 1] = 0.603178f;	val_dir[12248*3 + 2] = -0.367152f;
 	val_dir[12249*3 + 0] = 0.721995f;	val_dir[12249*3 + 1] = 0.618853f;	val_dir[12249*3 + 2] = -0.309426f;
 	val_dir[12250*3 + 0] = 0.732828f;	val_dir[12250*3 + 1] = 0.631748f;	val_dir[12250*3 + 2] = -0.252699f;
 	val_dir[12251*3 + 0] = 0.740797f;	val_dir[12251*3 + 1] = 0.642024f;	val_dir[12251*3 + 2] = -0.197546f;
 	val_dir[12252*3 + 0] = 0.746176f;	val_dir[12252*3 + 1] = 0.649895f;	val_dir[12252*3 + 2] = -0.144421f;
 	val_dir[12253*3 + 0] = 0.749269f;	val_dir[12253*3 + 1] = 0.655610f;	val_dir[12253*3 + 2] = -0.093659f;
 	val_dir[12254*3 + 0] = 0.750388f;	val_dir[12254*3 + 1] = 0.659432f;	val_dir[12254*3 + 2] = -0.045478f;
 	val_dir[12255*3 + 0] = 0.749838f;	val_dir[12255*3 + 1] = 0.661622f;	val_dir[12255*3 + 2] = 0.0f;
 	val_dir[12256*3 + 0] = -0.672504f;	val_dir[12256*3 + 1] = -0.739754f;	val_dir[12256*3 + 2] = -0.022417f;
 	val_dir[12257*3 + 0] = -0.669905f;	val_dir[12257*3 + 1] = -0.739205f;	val_dir[12257*3 + 2] = -0.069301f;
 	val_dir[12258*3 + 0] = -0.665536f;	val_dir[12258*3 + 1] = -0.736843f;	val_dir[12258*3 + 2] = -0.118846f;
 	val_dir[12259*3 + 0] = -0.659125f;	val_dir[12259*3 + 1] = -0.732361f;	val_dir[12259*3 + 2] = -0.170884f;
 	val_dir[12260*3 + 0] = -0.650407f;	val_dir[12260*3 + 1] = -0.725454f;	val_dir[12260*3 + 2] = -0.225141f;
 	val_dir[12261*3 + 0] = -0.639138f;	val_dir[12261*3 + 1] = -0.715834f;	val_dir[12261*3 + 2] = -0.281220f;
 	val_dir[12262*3 + 0] = -0.625119f;	val_dir[12262*3 + 1] = -0.703259f;	val_dir[12262*3 + 2] = -0.338606f;
 	val_dir[12263*3 + 0] = -0.608219f;	val_dir[12263*3 + 1] = -0.687552f;	val_dir[12263*3 + 2] = -0.396664f;
 	val_dir[12264*3 + 0] = -0.588395f;	val_dir[12264*3 + 1] = -0.668631f;	val_dir[12264*3 + 2] = -0.454669f;
 	val_dir[12265*3 + 0] = -0.565711f;	val_dir[12265*3 + 1] = -0.646527f;	val_dir[12265*3 + 2] = -0.511834f;
 	val_dir[12266*3 + 0] = -0.540343f;	val_dir[12266*3 + 1] = -0.621395f;	val_dir[12266*3 + 2] = -0.567360f;
 	val_dir[12267*3 + 0] = -0.512578f;	val_dir[12267*3 + 1] = -0.593512f;	val_dir[12267*3 + 2] = -0.620490f;
 	val_dir[12268*3 + 0] = -0.482798f;	val_dir[12268*3 + 1] = -0.563264f;	val_dir[12268*3 + 2] = -0.670552f;
 	val_dir[12269*3 + 0] = -0.451451f;	val_dir[12269*3 + 1] = -0.531119f;	val_dir[12269*3 + 2] = -0.717011f;
 	val_dir[12270*3 + 0] = -0.419026f;	val_dir[12270*3 + 1] = -0.497594f;	val_dir[12270*3 + 2] = -0.759485f;
 	val_dir[12271*3 + 0] = -0.386014f;	val_dir[12271*3 + 1] = -0.463217f;	val_dir[12271*3 + 2] = -0.797762f;
 	val_dir[12272*3 + 0] = -0.352879f;	val_dir[12272*3 + 1] = -0.428496f;	val_dir[12272*3 + 2] = -0.831786f;
 	val_dir[12273*3 + 0] = -0.320038f;	val_dir[12273*3 + 1] = -0.393893f;	val_dir[12273*3 + 2] = -0.861640f;
 	val_dir[12274*3 + 0] = -0.287843f;	val_dir[12274*3 + 1] = -0.359804f;	val_dir[12274*3 + 2] = -0.887517f;
 	val_dir[12275*3 + 0] = -0.256578f;	val_dir[12275*3 + 1] = -0.326554f;	val_dir[12275*3 + 2] = -0.909687f;
 	val_dir[12276*3 + 0] = -0.226455f;	val_dir[12276*3 + 1] = -0.294392f;	val_dir[12276*3 + 2] = -0.928467f;
 	val_dir[12277*3 + 0] = -0.197623f;	val_dir[12277*3 + 1] = -0.263498f;	val_dir[12277*3 + 2] = -0.94420f;
 	val_dir[12278*3 + 0] = -0.170174f;	val_dir[12278*3 + 1] = -0.233990f;	val_dir[12278*3 + 2] = -0.957230f;
 	val_dir[12279*3 + 0] = -0.144154f;	val_dir[12279*3 + 1] = -0.205934f;	val_dir[12279*3 + 2] = -0.967890f;
 	val_dir[12280*3 + 0] = -0.119570f;	val_dir[12280*3 + 1] = -0.179355f;	val_dir[12280*3 + 2] = -0.976491f;
 	val_dir[12281*3 + 0] = -0.096404f;	val_dir[12281*3 + 1] = -0.154246f;	val_dir[12281*3 + 2] = -0.983318f;
 	val_dir[12282*3 + 0] = -0.074613f;	val_dir[12282*3 + 1] = -0.130573f;	val_dir[12282*3 + 2] = -0.988627f;
 	val_dir[12283*3 + 0] = -0.054144f;	val_dir[12283*3 + 1] = -0.108288f;	val_dir[12283*3 + 2] = -0.992644f;
 	val_dir[12284*3 + 0] = -0.034932f;	val_dir[12284*3 + 1] = -0.087330f;	val_dir[12284*3 + 2] = -0.995567f;
 	val_dir[12285*3 + 0] = -0.016908f;	val_dir[12285*3 + 1] = -0.067632f;	val_dir[12285*3 + 2] = -0.997567f;
 	val_dir[12286*3 + 0] = 0.0f;	val_dir[12286*3 + 1] = -0.049121f;	val_dir[12286*3 + 2] = -0.998793f;
 	val_dir[12287*3 + 0] = 0.016382f;	val_dir[12287*3 + 1] = -0.032765f;	val_dir[12287*3 + 2] = -0.999329f;
 	val_dir[12288*3 + 0] = 0.032765f;	val_dir[12288*3 + 1] = -0.016382f;	val_dir[12288*3 + 2] = -0.999329f;
 	val_dir[12289*3 + 0] = 0.049121f;	val_dir[12289*3 + 1] = 0.0f;	val_dir[12289*3 + 2] = -0.998793f;
 	val_dir[12290*3 + 0] = 0.067632f;	val_dir[12290*3 + 1] = 0.016908f;	val_dir[12290*3 + 2] = -0.997567f;
 	val_dir[12291*3 + 0] = 0.087330f;	val_dir[12291*3 + 1] = 0.034932f;	val_dir[12291*3 + 2] = -0.995567f;
 	val_dir[12292*3 + 0] = 0.108288f;	val_dir[12292*3 + 1] = 0.054144f;	val_dir[12292*3 + 2] = -0.992644f;
 	val_dir[12293*3 + 0] = 0.130573f;	val_dir[12293*3 + 1] = 0.074613f;	val_dir[12293*3 + 2] = -0.988627f;
 	val_dir[12294*3 + 0] = 0.154246f;	val_dir[12294*3 + 1] = 0.096404f;	val_dir[12294*3 + 2] = -0.983318f;
 	val_dir[12295*3 + 0] = 0.179355f;	val_dir[12295*3 + 1] = 0.119570f;	val_dir[12295*3 + 2] = -0.976491f;
 	val_dir[12296*3 + 0] = 0.205934f;	val_dir[12296*3 + 1] = 0.144154f;	val_dir[12296*3 + 2] = -0.967890f;
 	val_dir[12297*3 + 0] = 0.233990f;	val_dir[12297*3 + 1] = 0.170174f;	val_dir[12297*3 + 2] = -0.957230f;
 	val_dir[12298*3 + 0] = 0.263498f;	val_dir[12298*3 + 1] = 0.197623f;	val_dir[12298*3 + 2] = -0.94420f;
 	val_dir[12299*3 + 0] = 0.294392f;	val_dir[12299*3 + 1] = 0.226455f;	val_dir[12299*3 + 2] = -0.928467f;
 	val_dir[12300*3 + 0] = 0.326554f;	val_dir[12300*3 + 1] = 0.256578f;	val_dir[12300*3 + 2] = -0.909687f;
 	val_dir[12301*3 + 0] = 0.359804f;	val_dir[12301*3 + 1] = 0.287843f;	val_dir[12301*3 + 2] = -0.887517f;
 	val_dir[12302*3 + 0] = 0.393893f;	val_dir[12302*3 + 1] = 0.320038f;	val_dir[12302*3 + 2] = -0.861640f;
 	val_dir[12303*3 + 0] = 0.428496f;	val_dir[12303*3 + 1] = 0.352879f;	val_dir[12303*3 + 2] = -0.831786f;
 	val_dir[12304*3 + 0] = 0.463217f;	val_dir[12304*3 + 1] = 0.386014f;	val_dir[12304*3 + 2] = -0.797762f;
 	val_dir[12305*3 + 0] = 0.497594f;	val_dir[12305*3 + 1] = 0.419026f;	val_dir[12305*3 + 2] = -0.759485f;
 	val_dir[12306*3 + 0] = 0.531119f;	val_dir[12306*3 + 1] = 0.451451f;	val_dir[12306*3 + 2] = -0.717011f;
 	val_dir[12307*3 + 0] = 0.563264f;	val_dir[12307*3 + 1] = 0.482798f;	val_dir[12307*3 + 2] = -0.670552f;
 	val_dir[12308*3 + 0] = 0.593512f;	val_dir[12308*3 + 1] = 0.512578f;	val_dir[12308*3 + 2] = -0.620490f;
 	val_dir[12309*3 + 0] = 0.621395f;	val_dir[12309*3 + 1] = 0.540343f;	val_dir[12309*3 + 2] = -0.567360f;
 	val_dir[12310*3 + 0] = 0.646527f;	val_dir[12310*3 + 1] = 0.565711f;	val_dir[12310*3 + 2] = -0.511834f;
 	val_dir[12311*3 + 0] = 0.668631f;	val_dir[12311*3 + 1] = 0.588395f;	val_dir[12311*3 + 2] = -0.454669f;
 	val_dir[12312*3 + 0] = 0.687552f;	val_dir[12312*3 + 1] = 0.608219f;	val_dir[12312*3 + 2] = -0.396664f;
 	val_dir[12313*3 + 0] = 0.703259f;	val_dir[12313*3 + 1] = 0.625119f;	val_dir[12313*3 + 2] = -0.338606f;
 	val_dir[12314*3 + 0] = 0.715834f;	val_dir[12314*3 + 1] = 0.639138f;	val_dir[12314*3 + 2] = -0.281220f;
 	val_dir[12315*3 + 0] = 0.725454f;	val_dir[12315*3 + 1] = 0.650407f;	val_dir[12315*3 + 2] = -0.225141f;
 	val_dir[12316*3 + 0] = 0.732361f;	val_dir[12316*3 + 1] = 0.659125f;	val_dir[12316*3 + 2] = -0.170884f;
 	val_dir[12317*3 + 0] = 0.736843f;	val_dir[12317*3 + 1] = 0.665536f;	val_dir[12317*3 + 2] = -0.118846f;
 	val_dir[12318*3 + 0] = 0.739205f;	val_dir[12318*3 + 1] = 0.669905f;	val_dir[12318*3 + 2] = -0.069301f;
 	val_dir[12319*3 + 0] = 0.739754f;	val_dir[12319*3 + 1] = 0.672504f;	val_dir[12319*3 + 2] = -0.022417f;
 	val_dir[12320*3 + 0] = -0.684675f;	val_dir[12320*3 + 1] = -0.728848f;	val_dir[12320*3 + 2] = 0.0f;
 	val_dir[12321*3 + 0] = -0.683231f;	val_dir[12321*3 + 1] = -0.728780f;	val_dir[12321*3 + 2] = -0.045549f;
 	val_dir[12322*3 + 0] = -0.680144f;	val_dir[12322*3 + 1] = -0.727051f;	val_dir[12322*3 + 2] = -0.093813f;
 	val_dir[12323*3 + 0] = -0.675140f;	val_dir[12323*3 + 1] = -0.723364f;	val_dir[12323*3 + 2] = -0.144673f;
 	val_dir[12324*3 + 0] = -0.667940f;	val_dir[12324*3 + 1] = -0.717418f;	val_dir[12324*3 + 2] = -0.197908f;
 	val_dir[12325*3 + 0] = -0.658281f;	val_dir[12325*3 + 1] = -0.708918f;	val_dir[12325*3 + 2] = -0.253185f;
 	val_dir[12326*3 + 0] = -0.645928f;	val_dir[12326*3 + 1] = -0.697602f;	val_dir[12326*3 + 2] = -0.310045f;
 	val_dir[12327*3 + 0] = -0.630706f;	val_dir[12327*3 + 1] = -0.683265f;	val_dir[12327*3 + 2] = -0.367912f;
 	val_dir[12328*3 + 0] = -0.612517f;	val_dir[12328*3 + 1] = -0.665780f;	val_dir[12328*3 + 2] = -0.426099f;
 	val_dir[12329*3 + 0] = -0.591364f;	val_dir[12329*3 + 1] = -0.645124f;	val_dir[12329*3 + 2] = -0.483843f;
 	val_dir[12330*3 + 0] = -0.567360f;	val_dir[12330*3 + 1] = -0.621395f;	val_dir[12330*3 + 2] = -0.540343f;
 	val_dir[12331*3 + 0] = -0.540738f;	val_dir[12331*3 + 1] = -0.594812f;	val_dir[12331*3 + 2] = -0.594812f;
 	val_dir[12332*3 + 0] = -0.511834f;	val_dir[12332*3 + 1] = -0.565711f;	val_dir[12332*3 + 2] = -0.646527f;
 	val_dir[12333*3 + 0] = -0.481070f;	val_dir[12333*3 + 1] = -0.534522f;	val_dir[12333*3 + 2] = -0.694879f;
 	val_dir[12334*3 + 0] = -0.448926f;	val_dir[12334*3 + 1] = -0.501740f;	val_dir[12334*3 + 2] = -0.739407f;
 	val_dir[12335*3 + 0] = -0.41590f;	val_dir[12335*3 + 1] = -0.467888f;	val_dir[12335*3 + 2] = -0.779813f;
 	val_dir[12336*3 + 0] = -0.382484f;	val_dir[12336*3 + 1] = -0.433482f;	val_dir[12336*3 + 2] = -0.815966f;
 	val_dir[12337*3 + 0] = -0.349128f;	val_dir[12337*3 + 1] = -0.399004f;	val_dir[12337*3 + 2] = -0.847883f;
 	val_dir[12338*3 + 0] = -0.316228f;	val_dir[12338*3 + 1] = -0.364878f;	val_dir[12338*3 + 2] = -0.875708f;
 	val_dir[12339*3 + 0] = -0.284108f;	val_dir[12339*3 + 1] = -0.331460f;	val_dir[12339*3 + 2] = -0.899676f;
 	val_dir[12340*3 + 0] = -0.253024f;	val_dir[12340*3 + 1] = -0.299028f;	val_dir[12340*3 + 2] = -0.920087f;
 	val_dir[12341*3 + 0] = -0.223161f;	val_dir[12341*3 + 1] = -0.267793f;	val_dir[12341*3 + 2] = -0.937276f;
 	val_dir[12342*3 + 0] = -0.194643f;	val_dir[12342*3 + 1] = -0.237897f;	val_dir[12342*3 + 2] = -0.951588f;
 	val_dir[12343*3 + 0] = -0.167542f;	val_dir[12343*3 + 1] = -0.209427f;	val_dir[12343*3 + 2] = -0.963364f;
 	val_dir[12344*3 + 0] = -0.141885f;	val_dir[12344*3 + 1] = -0.182424f;	val_dir[12344*3 + 2] = -0.972929f;
 	val_dir[12345*3 + 0] = -0.117670f;	val_dir[12345*3 + 1] = -0.156893f;	val_dir[12345*3 + 2] = -0.980581f;
 	val_dir[12346*3 + 0] = -0.094865f;	val_dir[12346*3 + 1] = -0.132810f;	val_dir[12346*3 + 2] = -0.986591f;
 	val_dir[12347*3 + 0] = -0.073422f;	val_dir[12347*3 + 1] = -0.110133f;	val_dir[12347*3 + 2] = -0.991201f;
 	val_dir[12348*3 + 0] = -0.053283f;	val_dir[12348*3 + 1] = -0.088806f;	val_dir[12348*3 + 2] = -0.994623f;
 	val_dir[12349*3 + 0] = -0.034381f;	val_dir[12349*3 + 1] = -0.068761f;	val_dir[12349*3 + 2] = -0.997041f;
 	val_dir[12350*3 + 0] = -0.016644f;	val_dir[12350*3 + 1] = -0.049931f;	val_dir[12350*3 + 2] = -0.998614f;
 	val_dir[12351*3 + 0] = 0.0f;	val_dir[12351*3 + 1] = -0.032241f;	val_dir[12351*3 + 2] = -0.999480f;
 	val_dir[12352*3 + 0] = 0.016125f;	val_dir[12352*3 + 1] = -0.016125f;	val_dir[12352*3 + 2] = -0.999740f;
 	val_dir[12353*3 + 0] = 0.032241f;	val_dir[12353*3 + 1] = 0.0f;	val_dir[12353*3 + 2] = -0.999480f;
 	val_dir[12354*3 + 0] = 0.049931f;	val_dir[12354*3 + 1] = 0.016644f;	val_dir[12354*3 + 2] = -0.998614f;
 	val_dir[12355*3 + 0] = 0.068761f;	val_dir[12355*3 + 1] = 0.034381f;	val_dir[12355*3 + 2] = -0.997041f;
 	val_dir[12356*3 + 0] = 0.088806f;	val_dir[12356*3 + 1] = 0.053283f;	val_dir[12356*3 + 2] = -0.994623f;
 	val_dir[12357*3 + 0] = 0.110133f;	val_dir[12357*3 + 1] = 0.073422f;	val_dir[12357*3 + 2] = -0.991201f;
 	val_dir[12358*3 + 0] = 0.132810f;	val_dir[12358*3 + 1] = 0.094865f;	val_dir[12358*3 + 2] = -0.986591f;
 	val_dir[12359*3 + 0] = 0.156893f;	val_dir[12359*3 + 1] = 0.117670f;	val_dir[12359*3 + 2] = -0.980581f;
 	val_dir[12360*3 + 0] = 0.182424f;	val_dir[12360*3 + 1] = 0.141885f;	val_dir[12360*3 + 2] = -0.972929f;
 	val_dir[12361*3 + 0] = 0.209427f;	val_dir[12361*3 + 1] = 0.167542f;	val_dir[12361*3 + 2] = -0.963364f;
 	val_dir[12362*3 + 0] = 0.237897f;	val_dir[12362*3 + 1] = 0.194643f;	val_dir[12362*3 + 2] = -0.951588f;
 	val_dir[12363*3 + 0] = 0.267793f;	val_dir[12363*3 + 1] = 0.223161f;	val_dir[12363*3 + 2] = -0.937276f;
 	val_dir[12364*3 + 0] = 0.299028f;	val_dir[12364*3 + 1] = 0.253024f;	val_dir[12364*3 + 2] = -0.920087f;
 	val_dir[12365*3 + 0] = 0.331460f;	val_dir[12365*3 + 1] = 0.284108f;	val_dir[12365*3 + 2] = -0.899676f;
 	val_dir[12366*3 + 0] = 0.364878f;	val_dir[12366*3 + 1] = 0.316228f;	val_dir[12366*3 + 2] = -0.875708f;
 	val_dir[12367*3 + 0] = 0.399004f;	val_dir[12367*3 + 1] = 0.349128f;	val_dir[12367*3 + 2] = -0.847883f;
 	val_dir[12368*3 + 0] = 0.433482f;	val_dir[12368*3 + 1] = 0.382484f;	val_dir[12368*3 + 2] = -0.815966f;
 	val_dir[12369*3 + 0] = 0.467888f;	val_dir[12369*3 + 1] = 0.41590f;	val_dir[12369*3 + 2] = -0.779813f;
 	val_dir[12370*3 + 0] = 0.501740f;	val_dir[12370*3 + 1] = 0.448926f;	val_dir[12370*3 + 2] = -0.739407f;
 	val_dir[12371*3 + 0] = 0.534522f;	val_dir[12371*3 + 1] = 0.481070f;	val_dir[12371*3 + 2] = -0.694879f;
 	val_dir[12372*3 + 0] = 0.565711f;	val_dir[12372*3 + 1] = 0.511834f;	val_dir[12372*3 + 2] = -0.646527f;
 	val_dir[12373*3 + 0] = 0.594812f;	val_dir[12373*3 + 1] = 0.540738f;	val_dir[12373*3 + 2] = -0.594812f;
 	val_dir[12374*3 + 0] = 0.621395f;	val_dir[12374*3 + 1] = 0.567360f;	val_dir[12374*3 + 2] = -0.540343f;
 	val_dir[12375*3 + 0] = 0.645124f;	val_dir[12375*3 + 1] = 0.591364f;	val_dir[12375*3 + 2] = -0.483843f;
 	val_dir[12376*3 + 0] = 0.665780f;	val_dir[12376*3 + 1] = 0.612517f;	val_dir[12376*3 + 2] = -0.426099f;
 	val_dir[12377*3 + 0] = 0.683265f;	val_dir[12377*3 + 1] = 0.630706f;	val_dir[12377*3 + 2] = -0.367912f;
 	val_dir[12378*3 + 0] = 0.697602f;	val_dir[12378*3 + 1] = 0.645928f;	val_dir[12378*3 + 2] = -0.310045f;
 	val_dir[12379*3 + 0] = 0.708918f;	val_dir[12379*3 + 1] = 0.658281f;	val_dir[12379*3 + 2] = -0.253185f;
 	val_dir[12380*3 + 0] = 0.717418f;	val_dir[12380*3 + 1] = 0.667940f;	val_dir[12380*3 + 2] = -0.197908f;
 	val_dir[12381*3 + 0] = 0.723364f;	val_dir[12381*3 + 1] = 0.675140f;	val_dir[12381*3 + 2] = -0.144673f;
 	val_dir[12382*3 + 0] = 0.727051f;	val_dir[12382*3 + 1] = 0.680144f;	val_dir[12382*3 + 2] = -0.093813f;
 	val_dir[12383*3 + 0] = 0.728780f;	val_dir[12383*3 + 1] = 0.683231f;	val_dir[12383*3 + 2] = -0.045549f;
 	val_dir[12384*3 + 0] = 0.728848f;	val_dir[12384*3 + 1] = 0.684675f;	val_dir[12384*3 + 2] = 0.0f;
 	val_dir[12385*3 + 0] = -0.695620f;	val_dir[12385*3 + 1] = -0.718059f;	val_dir[12385*3 + 2] = -0.022439f;
 	val_dir[12386*3 + 0] = -0.693746f;	val_dir[12386*3 + 1] = -0.716871f;	val_dir[12386*3 + 2] = -0.069375f;
 	val_dir[12387*3 + 0] = -0.690085f;	val_dir[12387*3 + 1] = -0.713881f;	val_dir[12387*3 + 2] = -0.118980f;
 	val_dir[12388*3 + 0] = -0.684353f;	val_dir[12388*3 + 1] = -0.708794f;	val_dir[12388*3 + 2] = -0.171088f;
 	val_dir[12389*3 + 0] = -0.676269f;	val_dir[12389*3 + 1] = -0.701316f;	val_dir[12389*3 + 2] = -0.225423f;
 	val_dir[12390*3 + 0] = -0.665574f;	val_dir[12390*3 + 1] = -0.691173f;	val_dir[12390*3 + 2] = -0.281589f;
 	val_dir[12391*3 + 0] = -0.652051f;	val_dir[12391*3 + 1] = -0.678133f;	val_dir[12391*3 + 2] = -0.339066f;
 	val_dir[12392*3 + 0] = -0.635553f;	val_dir[12392*3 + 1] = -0.662034f;	val_dir[12392*3 + 2] = -0.397220f;
 	val_dir[12393*3 + 0] = -0.616022f;	val_dir[12393*3 + 1] = -0.642806f;	val_dir[12393*3 + 2] = -0.455321f;
 	val_dir[12394*3 + 0] = -0.593512f;	val_dir[12394*3 + 1] = -0.620490f;	val_dir[12394*3 + 2] = -0.512578f;
 	val_dir[12395*3 + 0] = -0.568190f;	val_dir[12395*3 + 1] = -0.595247f;	val_dir[12395*3 + 2] = -0.568190f;
 	val_dir[12396*3 + 0] = -0.540343f;	val_dir[12396*3 + 1] = -0.567360f;	val_dir[12396*3 + 2] = -0.621395f;
 	val_dir[12397*3 + 0] = -0.510355f;	val_dir[12397*3 + 1] = -0.537215f;	val_dir[12397*3 + 2] = -0.671519f;
 	val_dir[12398*3 + 0] = -0.478683f;	val_dir[12398*3 + 1] = -0.505276f;	val_dir[12398*3 + 2] = -0.718024f;
 	val_dir[12399*3 + 0] = -0.445827f;	val_dir[12399*3 + 1] = -0.472053f;	val_dir[12399*3 + 2] = -0.760529f;
 	val_dir[12400*3 + 0] = -0.412294f;	val_dir[12400*3 + 1] = -0.438063f;	val_dir[12400*3 + 2] = -0.798820f;
 	val_dir[12401*3 + 0] = -0.378566f;	val_dir[12401*3 + 1] = -0.403804f;	val_dir[12401*3 + 2] = -0.832845f;
 	val_dir[12402*3 + 0] = -0.345075f;	val_dir[12402*3 + 1] = -0.369723f;	val_dir[12402*3 + 2] = -0.862687f;
 	val_dir[12403*3 + 0] = -0.312190f;	val_dir[12403*3 + 1] = -0.336204f;	val_dir[12403*3 + 2] = -0.888540f;
 	val_dir[12404*3 + 0] = -0.280209f;	val_dir[12404*3 + 1] = -0.303559f;	val_dir[12404*3 + 2] = -0.910678f;
 	val_dir[12405*3 + 0] = -0.249357f;	val_dir[12405*3 + 1] = -0.272026f;	val_dir[12405*3 + 2] = -0.929421f;
 	val_dir[12406*3 + 0] = -0.219793f;	val_dir[12406*3 + 1] = -0.241773f;	val_dir[12406*3 + 2] = -0.945112f;
 	val_dir[12407*3 + 0] = -0.191620f;	val_dir[12407*3 + 1] = -0.212911f;	val_dir[12407*3 + 2] = -0.958098f;
 	val_dir[12408*3 + 0] = -0.164887f;	val_dir[12408*3 + 1] = -0.185498f;	val_dir[12408*3 + 2] = -0.968712f;
 	val_dir[12409*3 + 0] = -0.139610f;	val_dir[12409*3 + 1] = -0.159554f;	val_dir[12409*3 + 2] = -0.977267f;
 	val_dir[12410*3 + 0] = -0.115771f;	val_dir[12410*3 + 1] = -0.135066f;	val_dir[12410*3 + 2] = -0.984050f;
 	val_dir[12411*3 + 0] = -0.093332f;	val_dir[12411*3 + 1] = -0.111998f;	val_dir[12411*3 + 2] = -0.989316f;
 	val_dir[12412*3 + 0] = -0.072239f;	val_dir[12412*3 + 1] = -0.090299f;	val_dir[12412*3 + 2] = -0.993291f;
 	val_dir[12413*3 + 0] = -0.052430f;	val_dir[12413*3 + 1] = -0.069907f;	val_dir[12413*3 + 2] = -0.996175f;
 	val_dir[12414*3 + 0] = -0.033835f;	val_dir[12414*3 + 1] = -0.050753f;	val_dir[12414*3 + 2] = -0.998138f;
 	val_dir[12415*3 + 0] = -0.016382f;	val_dir[12415*3 + 1] = -0.032765f;	val_dir[12415*3 + 2] = -0.999329f;
 	val_dir[12416*3 + 0] = 0.0f;	val_dir[12416*3 + 1] = -0.015871f;	val_dir[12416*3 + 2] = -0.999874f;
 	val_dir[12417*3 + 0] = 0.015871f;	val_dir[12417*3 + 1] = 0.0f;	val_dir[12417*3 + 2] = -0.999874f;
 	val_dir[12418*3 + 0] = 0.032765f;	val_dir[12418*3 + 1] = 0.016382f;	val_dir[12418*3 + 2] = -0.999329f;
 	val_dir[12419*3 + 0] = 0.050753f;	val_dir[12419*3 + 1] = 0.033835f;	val_dir[12419*3 + 2] = -0.998138f;
 	val_dir[12420*3 + 0] = 0.069907f;	val_dir[12420*3 + 1] = 0.052430f;	val_dir[12420*3 + 2] = -0.996175f;
 	val_dir[12421*3 + 0] = 0.090299f;	val_dir[12421*3 + 1] = 0.072239f;	val_dir[12421*3 + 2] = -0.993291f;
 	val_dir[12422*3 + 0] = 0.111998f;	val_dir[12422*3 + 1] = 0.093332f;	val_dir[12422*3 + 2] = -0.989316f;
 	val_dir[12423*3 + 0] = 0.135066f;	val_dir[12423*3 + 1] = 0.115771f;	val_dir[12423*3 + 2] = -0.984050f;
 	val_dir[12424*3 + 0] = 0.159554f;	val_dir[12424*3 + 1] = 0.139610f;	val_dir[12424*3 + 2] = -0.977267f;
 	val_dir[12425*3 + 0] = 0.185498f;	val_dir[12425*3 + 1] = 0.164887f;	val_dir[12425*3 + 2] = -0.968712f;
 	val_dir[12426*3 + 0] = 0.212911f;	val_dir[12426*3 + 1] = 0.191620f;	val_dir[12426*3 + 2] = -0.958098f;
 	val_dir[12427*3 + 0] = 0.241773f;	val_dir[12427*3 + 1] = 0.219793f;	val_dir[12427*3 + 2] = -0.945112f;
 	val_dir[12428*3 + 0] = 0.272026f;	val_dir[12428*3 + 1] = 0.249357f;	val_dir[12428*3 + 2] = -0.929421f;
 	val_dir[12429*3 + 0] = 0.303559f;	val_dir[12429*3 + 1] = 0.280209f;	val_dir[12429*3 + 2] = -0.910678f;
 	val_dir[12430*3 + 0] = 0.336204f;	val_dir[12430*3 + 1] = 0.312190f;	val_dir[12430*3 + 2] = -0.888540f;
 	val_dir[12431*3 + 0] = 0.369723f;	val_dir[12431*3 + 1] = 0.345075f;	val_dir[12431*3 + 2] = -0.862687f;
 	val_dir[12432*3 + 0] = 0.403804f;	val_dir[12432*3 + 1] = 0.378566f;	val_dir[12432*3 + 2] = -0.832845f;
 	val_dir[12433*3 + 0] = 0.438063f;	val_dir[12433*3 + 1] = 0.412294f;	val_dir[12433*3 + 2] = -0.798820f;
 	val_dir[12434*3 + 0] = 0.472053f;	val_dir[12434*3 + 1] = 0.445827f;	val_dir[12434*3 + 2] = -0.760529f;
 	val_dir[12435*3 + 0] = 0.505276f;	val_dir[12435*3 + 1] = 0.478683f;	val_dir[12435*3 + 2] = -0.718024f;
 	val_dir[12436*3 + 0] = 0.537215f;	val_dir[12436*3 + 1] = 0.510355f;	val_dir[12436*3 + 2] = -0.671519f;
 	val_dir[12437*3 + 0] = 0.567360f;	val_dir[12437*3 + 1] = 0.540343f;	val_dir[12437*3 + 2] = -0.621395f;
 	val_dir[12438*3 + 0] = 0.595247f;	val_dir[12438*3 + 1] = 0.568190f;	val_dir[12438*3 + 2] = -0.568190f;
 	val_dir[12439*3 + 0] = 0.620490f;	val_dir[12439*3 + 1] = 0.593512f;	val_dir[12439*3 + 2] = -0.512578f;
 	val_dir[12440*3 + 0] = 0.642806f;	val_dir[12440*3 + 1] = 0.616022f;	val_dir[12440*3 + 2] = -0.455321f;
 	val_dir[12441*3 + 0] = 0.662034f;	val_dir[12441*3 + 1] = 0.635553f;	val_dir[12441*3 + 2] = -0.397220f;
 	val_dir[12442*3 + 0] = 0.678133f;	val_dir[12442*3 + 1] = 0.652051f;	val_dir[12442*3 + 2] = -0.339066f;
 	val_dir[12443*3 + 0] = 0.691173f;	val_dir[12443*3 + 1] = 0.665574f;	val_dir[12443*3 + 2] = -0.281589f;
 	val_dir[12444*3 + 0] = 0.701316f;	val_dir[12444*3 + 1] = 0.676269f;	val_dir[12444*3 + 2] = -0.225423f;
 	val_dir[12445*3 + 0] = 0.708794f;	val_dir[12445*3 + 1] = 0.684353f;	val_dir[12445*3 + 2] = -0.171088f;
 	val_dir[12446*3 + 0] = 0.713881f;	val_dir[12446*3 + 1] = 0.690085f;	val_dir[12446*3 + 2] = -0.118980f;
 	val_dir[12447*3 + 0] = 0.716871f;	val_dir[12447*3 + 1] = 0.693746f;	val_dir[12447*3 + 2] = -0.069375f;
 	val_dir[12448*3 + 0] = 0.718059f;	val_dir[12448*3 + 1] = 0.695620f;	val_dir[12448*3 + 2] = -0.022439f;
 	val_dir[12449*3 + 0] = -0.707107f;	val_dir[12449*3 + 1] = -0.707107f;	val_dir[12449*3 + 2] = 0.0f;
 	val_dir[12450*3 + 0] = -0.706372f;	val_dir[12450*3 + 1] = -0.706372f;	val_dir[12450*3 + 2] = -0.045572f;
 	val_dir[12451*3 + 0] = -0.703985f;	val_dir[12451*3 + 1] = -0.703985f;	val_dir[12451*3 + 2] = -0.093865f;
 	val_dir[12452*3 + 0] = -0.699659f;	val_dir[12452*3 + 1] = -0.699659f;	val_dir[12452*3 + 2] = -0.144757f;
 	val_dir[12453*3 + 0] = -0.693103f;	val_dir[12453*3 + 1] = -0.693103f;	val_dir[12453*3 + 2] = -0.198030f;
 	val_dir[12454*3 + 0] = -0.684038f;	val_dir[12454*3 + 1] = -0.684038f;	val_dir[12454*3 + 2] = -0.253347f;
 	val_dir[12455*3 + 0] = -0.672214f;	val_dir[12455*3 + 1] = -0.672214f;	val_dir[12455*3 + 2] = -0.310253f;
 	val_dir[12456*3 + 0] = -0.657440f;	val_dir[12456*3 + 1] = -0.657440f;	val_dir[12456*3 + 2] = -0.368166f;
 	val_dir[12457*3 + 0] = -0.639602f;	val_dir[12457*3 + 1] = -0.639602f;	val_dir[12457*3 + 2] = -0.426401f;
 	val_dir[12458*3 + 0] = -0.618691f;	val_dir[12458*3 + 1] = -0.618691f;	val_dir[12458*3 + 2] = -0.484193f;
 	val_dir[12459*3 + 0] = -0.594812f;	val_dir[12459*3 + 1] = -0.594812f;	val_dir[12459*3 + 2] = -0.540738f;
 	val_dir[12460*3 + 0] = -0.568190f;	val_dir[12460*3 + 1] = -0.568190f;	val_dir[12460*3 + 2] = -0.595247f;
 	val_dir[12461*3 + 0] = -0.539164f;	val_dir[12461*3 + 1] = -0.539164f;	val_dir[12461*3 + 2] = -0.646997f;
 	val_dir[12462*3 + 0] = -0.508159f;	val_dir[12462*3 + 1] = -0.508159f;	val_dir[12462*3 + 2] = -0.695376f;
 	val_dir[12463*3 + 0] = -0.475665f;	val_dir[12463*3 + 1] = -0.475665f;	val_dir[12463*3 + 2] = -0.739923f;
 	val_dir[12464*3 + 0] = -0.442193f;	val_dir[12464*3 + 1] = -0.442193f;	val_dir[12464*3 + 2] = -0.780340f;
 	val_dir[12465*3 + 0] = -0.408248f;	val_dir[12465*3 + 1] = -0.408248f;	val_dir[12465*3 + 2] = -0.816497f;
 	val_dir[12466*3 + 0] = -0.374299f;	val_dir[12466*3 + 1] = -0.374299f;	val_dir[12466*3 + 2] = -0.848411f;
 	val_dir[12467*3 + 0] = -0.340755f;	val_dir[12467*3 + 1] = -0.340755f;	val_dir[12467*3 + 2] = -0.876226f;
 	val_dir[12468*3 + 0] = -0.307957f;	val_dir[12468*3 + 1] = -0.307957f;	val_dir[12468*3 + 2] = -0.900181f;
 	val_dir[12469*3 + 0] = -0.276172f;	val_dir[12469*3 + 1] = -0.276172f;	val_dir[12469*3 + 2] = -0.920575f;
 	val_dir[12470*3 + 0] = -0.245599f;	val_dir[12470*3 + 1] = -0.245599f;	val_dir[12470*3 + 2] = -0.937743f;
 	val_dir[12471*3 + 0] = -0.216371f;	val_dir[12471*3 + 1] = -0.216371f;	val_dir[12471*3 + 2] = -0.952033f;
 	val_dir[12472*3 + 0] = -0.188567f;	val_dir[12472*3 + 1] = -0.188567f;	val_dir[12472*3 + 2] = -0.963787f;
 	val_dir[12473*3 + 0] = -0.162221f;	val_dir[12473*3 + 1] = -0.162221f;	val_dir[12473*3 + 2] = -0.973329f;
 	val_dir[12474*3 + 0] = -0.137334f;	val_dir[12474*3 + 1] = -0.137334f;	val_dir[12474*3 + 2] = -0.980958f;
 	val_dir[12475*3 + 0] = -0.113878f;	val_dir[12475*3 + 1] = -0.113878f;	val_dir[12475*3 + 2] = -0.986947f;
 	val_dir[12476*3 + 0] = -0.091809f;	val_dir[12476*3 + 1] = -0.091809f;	val_dir[12476*3 + 2] = -0.991535f;
 	val_dir[12477*3 + 0] = -0.071067f;	val_dir[12477*3 + 1] = -0.071067f;	val_dir[12477*3 + 2] = -0.994937f;
 	val_dir[12478*3 + 0] = -0.051586f;	val_dir[12478*3 + 1] = -0.051586f;	val_dir[12478*3 + 2] = -0.997335f;
 	val_dir[12479*3 + 0] = -0.033296f;	val_dir[12479*3 + 1] = -0.033296f;	val_dir[12479*3 + 2] = -0.998891f;
 	val_dir[12480*3 + 0] = -0.016125f;	val_dir[12480*3 + 1] = -0.016125f;	val_dir[12480*3 + 2] = -0.999740f;
 	val_dir[12481*3 + 0] = 0.0f;	val_dir[12481*3 + 1] = 0.0f;	val_dir[12481*3 + 2] = -1.0f;
 	val_dir[12482*3 + 0] = 0.016125f;	val_dir[12482*3 + 1] = 0.016125f;	val_dir[12482*3 + 2] = -0.999740f;
 	val_dir[12483*3 + 0] = 0.033296f;	val_dir[12483*3 + 1] = 0.033296f;	val_dir[12483*3 + 2] = -0.998891f;
 	val_dir[12484*3 + 0] = 0.051586f;	val_dir[12484*3 + 1] = 0.051586f;	val_dir[12484*3 + 2] = -0.997335f;
 	val_dir[12485*3 + 0] = 0.071067f;	val_dir[12485*3 + 1] = 0.071067f;	val_dir[12485*3 + 2] = -0.994937f;
 	val_dir[12486*3 + 0] = 0.091809f;	val_dir[12486*3 + 1] = 0.091809f;	val_dir[12486*3 + 2] = -0.991535f;
 	val_dir[12487*3 + 0] = 0.113878f;	val_dir[12487*3 + 1] = 0.113878f;	val_dir[12487*3 + 2] = -0.986947f;
 	val_dir[12488*3 + 0] = 0.137334f;	val_dir[12488*3 + 1] = 0.137334f;	val_dir[12488*3 + 2] = -0.980958f;
 	val_dir[12489*3 + 0] = 0.162221f;	val_dir[12489*3 + 1] = 0.162221f;	val_dir[12489*3 + 2] = -0.973329f;
 	val_dir[12490*3 + 0] = 0.188567f;	val_dir[12490*3 + 1] = 0.188567f;	val_dir[12490*3 + 2] = -0.963787f;
 	val_dir[12491*3 + 0] = 0.216371f;	val_dir[12491*3 + 1] = 0.216371f;	val_dir[12491*3 + 2] = -0.952033f;
 	val_dir[12492*3 + 0] = 0.245599f;	val_dir[12492*3 + 1] = 0.245599f;	val_dir[12492*3 + 2] = -0.937743f;
 	val_dir[12493*3 + 0] = 0.276172f;	val_dir[12493*3 + 1] = 0.276172f;	val_dir[12493*3 + 2] = -0.920575f;
 	val_dir[12494*3 + 0] = 0.307957f;	val_dir[12494*3 + 1] = 0.307957f;	val_dir[12494*3 + 2] = -0.900181f;
 	val_dir[12495*3 + 0] = 0.340755f;	val_dir[12495*3 + 1] = 0.340755f;	val_dir[12495*3 + 2] = -0.876226f;
 	val_dir[12496*3 + 0] = 0.374299f;	val_dir[12496*3 + 1] = 0.374299f;	val_dir[12496*3 + 2] = -0.848411f;
 	val_dir[12497*3 + 0] = 0.408248f;	val_dir[12497*3 + 1] = 0.408248f;	val_dir[12497*3 + 2] = -0.816497f;
 	val_dir[12498*3 + 0] = 0.442193f;	val_dir[12498*3 + 1] = 0.442193f;	val_dir[12498*3 + 2] = -0.780340f;
 	val_dir[12499*3 + 0] = 0.475665f;	val_dir[12499*3 + 1] = 0.475665f;	val_dir[12499*3 + 2] = -0.739923f;
 	val_dir[12500*3 + 0] = 0.508159f;	val_dir[12500*3 + 1] = 0.508159f;	val_dir[12500*3 + 2] = -0.695376f;
 	val_dir[12501*3 + 0] = 0.539164f;	val_dir[12501*3 + 1] = 0.539164f;	val_dir[12501*3 + 2] = -0.646997f;
 	val_dir[12502*3 + 0] = 0.568190f;	val_dir[12502*3 + 1] = 0.568190f;	val_dir[12502*3 + 2] = -0.595247f;
 	val_dir[12503*3 + 0] = 0.594812f;	val_dir[12503*3 + 1] = 0.594812f;	val_dir[12503*3 + 2] = -0.540738f;
 	val_dir[12504*3 + 0] = 0.618691f;	val_dir[12504*3 + 1] = 0.618691f;	val_dir[12504*3 + 2] = -0.484193f;
 	val_dir[12505*3 + 0] = 0.639602f;	val_dir[12505*3 + 1] = 0.639602f;	val_dir[12505*3 + 2] = -0.426401f;
 	val_dir[12506*3 + 0] = 0.657440f;	val_dir[12506*3 + 1] = 0.657440f;	val_dir[12506*3 + 2] = -0.368166f;
 	val_dir[12507*3 + 0] = 0.672214f;	val_dir[12507*3 + 1] = 0.672214f;	val_dir[12507*3 + 2] = -0.310253f;
 	val_dir[12508*3 + 0] = 0.684038f;	val_dir[12508*3 + 1] = 0.684038f;	val_dir[12508*3 + 2] = -0.253347f;
 	val_dir[12509*3 + 0] = 0.693103f;	val_dir[12509*3 + 1] = 0.693103f;	val_dir[12509*3 + 2] = -0.198030f;
 	val_dir[12510*3 + 0] = 0.699659f;	val_dir[12510*3 + 1] = 0.699659f;	val_dir[12510*3 + 2] = -0.144757f;
 	val_dir[12511*3 + 0] = 0.703985f;	val_dir[12511*3 + 1] = 0.703985f;	val_dir[12511*3 + 2] = -0.093865f;
 	val_dir[12512*3 + 0] = 0.706372f;	val_dir[12512*3 + 1] = 0.706372f;	val_dir[12512*3 + 2] = -0.045572f;
 	val_dir[12513*3 + 0] = 0.707107f;	val_dir[12513*3 + 1] = 0.707107f;	val_dir[12513*3 + 2] = 0.0f;
 	val_dir[12514*3 + 0] = -0.718059f;	val_dir[12514*3 + 1] = -0.695620f;	val_dir[12514*3 + 2] = -0.022439f;
 	val_dir[12515*3 + 0] = -0.716871f;	val_dir[12515*3 + 1] = -0.693746f;	val_dir[12515*3 + 2] = -0.069375f;
 	val_dir[12516*3 + 0] = -0.713881f;	val_dir[12516*3 + 1] = -0.690085f;	val_dir[12516*3 + 2] = -0.118980f;
 	val_dir[12517*3 + 0] = -0.708794f;	val_dir[12517*3 + 1] = -0.684353f;	val_dir[12517*3 + 2] = -0.171088f;
 	val_dir[12518*3 + 0] = -0.701316f;	val_dir[12518*3 + 1] = -0.676269f;	val_dir[12518*3 + 2] = -0.225423f;
 	val_dir[12519*3 + 0] = -0.691173f;	val_dir[12519*3 + 1] = -0.665574f;	val_dir[12519*3 + 2] = -0.281589f;
 	val_dir[12520*3 + 0] = -0.678133f;	val_dir[12520*3 + 1] = -0.652051f;	val_dir[12520*3 + 2] = -0.339066f;
 	val_dir[12521*3 + 0] = -0.662034f;	val_dir[12521*3 + 1] = -0.635553f;	val_dir[12521*3 + 2] = -0.397220f;
 	val_dir[12522*3 + 0] = -0.642806f;	val_dir[12522*3 + 1] = -0.616022f;	val_dir[12522*3 + 2] = -0.455321f;
 	val_dir[12523*3 + 0] = -0.620490f;	val_dir[12523*3 + 1] = -0.593512f;	val_dir[12523*3 + 2] = -0.512578f;
 	val_dir[12524*3 + 0] = -0.595247f;	val_dir[12524*3 + 1] = -0.568190f;	val_dir[12524*3 + 2] = -0.568190f;
 	val_dir[12525*3 + 0] = -0.567360f;	val_dir[12525*3 + 1] = -0.540343f;	val_dir[12525*3 + 2] = -0.621395f;
 	val_dir[12526*3 + 0] = -0.537215f;	val_dir[12526*3 + 1] = -0.510355f;	val_dir[12526*3 + 2] = -0.671519f;
 	val_dir[12527*3 + 0] = -0.505276f;	val_dir[12527*3 + 1] = -0.478683f;	val_dir[12527*3 + 2] = -0.718024f;
 	val_dir[12528*3 + 0] = -0.472053f;	val_dir[12528*3 + 1] = -0.445827f;	val_dir[12528*3 + 2] = -0.760529f;
 	val_dir[12529*3 + 0] = -0.438063f;	val_dir[12529*3 + 1] = -0.412294f;	val_dir[12529*3 + 2] = -0.798820f;
 	val_dir[12530*3 + 0] = -0.403804f;	val_dir[12530*3 + 1] = -0.378566f;	val_dir[12530*3 + 2] = -0.832845f;
 	val_dir[12531*3 + 0] = -0.369723f;	val_dir[12531*3 + 1] = -0.345075f;	val_dir[12531*3 + 2] = -0.862687f;
 	val_dir[12532*3 + 0] = -0.336204f;	val_dir[12532*3 + 1] = -0.312190f;	val_dir[12532*3 + 2] = -0.888540f;
 	val_dir[12533*3 + 0] = -0.303559f;	val_dir[12533*3 + 1] = -0.280209f;	val_dir[12533*3 + 2] = -0.910678f;
 	val_dir[12534*3 + 0] = -0.272026f;	val_dir[12534*3 + 1] = -0.249357f;	val_dir[12534*3 + 2] = -0.929421f;
 	val_dir[12535*3 + 0] = -0.241773f;	val_dir[12535*3 + 1] = -0.219793f;	val_dir[12535*3 + 2] = -0.945112f;
 	val_dir[12536*3 + 0] = -0.212911f;	val_dir[12536*3 + 1] = -0.191620f;	val_dir[12536*3 + 2] = -0.958098f;
 	val_dir[12537*3 + 0] = -0.185498f;	val_dir[12537*3 + 1] = -0.164887f;	val_dir[12537*3 + 2] = -0.968712f;
 	val_dir[12538*3 + 0] = -0.159554f;	val_dir[12538*3 + 1] = -0.139610f;	val_dir[12538*3 + 2] = -0.977267f;
 	val_dir[12539*3 + 0] = -0.135066f;	val_dir[12539*3 + 1] = -0.115771f;	val_dir[12539*3 + 2] = -0.984050f;
 	val_dir[12540*3 + 0] = -0.111998f;	val_dir[12540*3 + 1] = -0.093332f;	val_dir[12540*3 + 2] = -0.989316f;
 	val_dir[12541*3 + 0] = -0.090299f;	val_dir[12541*3 + 1] = -0.072239f;	val_dir[12541*3 + 2] = -0.993291f;
 	val_dir[12542*3 + 0] = -0.069907f;	val_dir[12542*3 + 1] = -0.052430f;	val_dir[12542*3 + 2] = -0.996175f;
 	val_dir[12543*3 + 0] = -0.050753f;	val_dir[12543*3 + 1] = -0.033835f;	val_dir[12543*3 + 2] = -0.998138f;
 	val_dir[12544*3 + 0] = -0.032765f;	val_dir[12544*3 + 1] = -0.016382f;	val_dir[12544*3 + 2] = -0.999329f;
 	val_dir[12545*3 + 0] = -0.015871f;	val_dir[12545*3 + 1] = 0.0f;	val_dir[12545*3 + 2] = -0.999874f;
 	val_dir[12546*3 + 0] = 0.0f;	val_dir[12546*3 + 1] = 0.015871f;	val_dir[12546*3 + 2] = -0.999874f;
 	val_dir[12547*3 + 0] = 0.016382f;	val_dir[12547*3 + 1] = 0.032765f;	val_dir[12547*3 + 2] = -0.999329f;
 	val_dir[12548*3 + 0] = 0.033835f;	val_dir[12548*3 + 1] = 0.050753f;	val_dir[12548*3 + 2] = -0.998138f;
 	val_dir[12549*3 + 0] = 0.052430f;	val_dir[12549*3 + 1] = 0.069907f;	val_dir[12549*3 + 2] = -0.996175f;
 	val_dir[12550*3 + 0] = 0.072239f;	val_dir[12550*3 + 1] = 0.090299f;	val_dir[12550*3 + 2] = -0.993291f;
 	val_dir[12551*3 + 0] = 0.093332f;	val_dir[12551*3 + 1] = 0.111998f;	val_dir[12551*3 + 2] = -0.989316f;
 	val_dir[12552*3 + 0] = 0.115771f;	val_dir[12552*3 + 1] = 0.135066f;	val_dir[12552*3 + 2] = -0.984050f;
 	val_dir[12553*3 + 0] = 0.139610f;	val_dir[12553*3 + 1] = 0.159554f;	val_dir[12553*3 + 2] = -0.977267f;
 	val_dir[12554*3 + 0] = 0.164887f;	val_dir[12554*3 + 1] = 0.185498f;	val_dir[12554*3 + 2] = -0.968712f;
 	val_dir[12555*3 + 0] = 0.191620f;	val_dir[12555*3 + 1] = 0.212911f;	val_dir[12555*3 + 2] = -0.958098f;
 	val_dir[12556*3 + 0] = 0.219793f;	val_dir[12556*3 + 1] = 0.241773f;	val_dir[12556*3 + 2] = -0.945112f;
 	val_dir[12557*3 + 0] = 0.249357f;	val_dir[12557*3 + 1] = 0.272026f;	val_dir[12557*3 + 2] = -0.929421f;
 	val_dir[12558*3 + 0] = 0.280209f;	val_dir[12558*3 + 1] = 0.303559f;	val_dir[12558*3 + 2] = -0.910678f;
 	val_dir[12559*3 + 0] = 0.312190f;	val_dir[12559*3 + 1] = 0.336204f;	val_dir[12559*3 + 2] = -0.888540f;
 	val_dir[12560*3 + 0] = 0.345075f;	val_dir[12560*3 + 1] = 0.369723f;	val_dir[12560*3 + 2] = -0.862687f;
 	val_dir[12561*3 + 0] = 0.378566f;	val_dir[12561*3 + 1] = 0.403804f;	val_dir[12561*3 + 2] = -0.832845f;
 	val_dir[12562*3 + 0] = 0.412294f;	val_dir[12562*3 + 1] = 0.438063f;	val_dir[12562*3 + 2] = -0.798820f;
 	val_dir[12563*3 + 0] = 0.445827f;	val_dir[12563*3 + 1] = 0.472053f;	val_dir[12563*3 + 2] = -0.760529f;
 	val_dir[12564*3 + 0] = 0.478683f;	val_dir[12564*3 + 1] = 0.505276f;	val_dir[12564*3 + 2] = -0.718024f;
 	val_dir[12565*3 + 0] = 0.510355f;	val_dir[12565*3 + 1] = 0.537215f;	val_dir[12565*3 + 2] = -0.671519f;
 	val_dir[12566*3 + 0] = 0.540343f;	val_dir[12566*3 + 1] = 0.567360f;	val_dir[12566*3 + 2] = -0.621395f;
 	val_dir[12567*3 + 0] = 0.568190f;	val_dir[12567*3 + 1] = 0.595247f;	val_dir[12567*3 + 2] = -0.568190f;
 	val_dir[12568*3 + 0] = 0.593512f;	val_dir[12568*3 + 1] = 0.620490f;	val_dir[12568*3 + 2] = -0.512578f;
 	val_dir[12569*3 + 0] = 0.616022f;	val_dir[12569*3 + 1] = 0.642806f;	val_dir[12569*3 + 2] = -0.455321f;
 	val_dir[12570*3 + 0] = 0.635553f;	val_dir[12570*3 + 1] = 0.662034f;	val_dir[12570*3 + 2] = -0.397220f;
 	val_dir[12571*3 + 0] = 0.652051f;	val_dir[12571*3 + 1] = 0.678133f;	val_dir[12571*3 + 2] = -0.339066f;
 	val_dir[12572*3 + 0] = 0.665574f;	val_dir[12572*3 + 1] = 0.691173f;	val_dir[12572*3 + 2] = -0.281589f;
 	val_dir[12573*3 + 0] = 0.676269f;	val_dir[12573*3 + 1] = 0.701316f;	val_dir[12573*3 + 2] = -0.225423f;
 	val_dir[12574*3 + 0] = 0.684353f;	val_dir[12574*3 + 1] = 0.708794f;	val_dir[12574*3 + 2] = -0.171088f;
 	val_dir[12575*3 + 0] = 0.690085f;	val_dir[12575*3 + 1] = 0.713881f;	val_dir[12575*3 + 2] = -0.118980f;
 	val_dir[12576*3 + 0] = 0.693746f;	val_dir[12576*3 + 1] = 0.716871f;	val_dir[12576*3 + 2] = -0.069375f;
 	val_dir[12577*3 + 0] = 0.695620f;	val_dir[12577*3 + 1] = 0.718059f;	val_dir[12577*3 + 2] = -0.022439f;
 	val_dir[12578*3 + 0] = -0.728848f;	val_dir[12578*3 + 1] = -0.684675f;	val_dir[12578*3 + 2] = 0.0f;
 	val_dir[12579*3 + 0] = -0.728780f;	val_dir[12579*3 + 1] = -0.683231f;	val_dir[12579*3 + 2] = -0.045549f;
 	val_dir[12580*3 + 0] = -0.727051f;	val_dir[12580*3 + 1] = -0.680144f;	val_dir[12580*3 + 2] = -0.093813f;
 	val_dir[12581*3 + 0] = -0.723364f;	val_dir[12581*3 + 1] = -0.675140f;	val_dir[12581*3 + 2] = -0.144673f;
 	val_dir[12582*3 + 0] = -0.717418f;	val_dir[12582*3 + 1] = -0.667940f;	val_dir[12582*3 + 2] = -0.197908f;
 	val_dir[12583*3 + 0] = -0.708918f;	val_dir[12583*3 + 1] = -0.658281f;	val_dir[12583*3 + 2] = -0.253185f;
 	val_dir[12584*3 + 0] = -0.697602f;	val_dir[12584*3 + 1] = -0.645928f;	val_dir[12584*3 + 2] = -0.310045f;
 	val_dir[12585*3 + 0] = -0.683265f;	val_dir[12585*3 + 1] = -0.630706f;	val_dir[12585*3 + 2] = -0.367912f;
 	val_dir[12586*3 + 0] = -0.665780f;	val_dir[12586*3 + 1] = -0.612517f;	val_dir[12586*3 + 2] = -0.426099f;
 	val_dir[12587*3 + 0] = -0.645124f;	val_dir[12587*3 + 1] = -0.591364f;	val_dir[12587*3 + 2] = -0.483843f;
 	val_dir[12588*3 + 0] = -0.621395f;	val_dir[12588*3 + 1] = -0.567360f;	val_dir[12588*3 + 2] = -0.540343f;
 	val_dir[12589*3 + 0] = -0.594812f;	val_dir[12589*3 + 1] = -0.540738f;	val_dir[12589*3 + 2] = -0.594812f;
 	val_dir[12590*3 + 0] = -0.565711f;	val_dir[12590*3 + 1] = -0.511834f;	val_dir[12590*3 + 2] = -0.646527f;
 	val_dir[12591*3 + 0] = -0.534522f;	val_dir[12591*3 + 1] = -0.481070f;	val_dir[12591*3 + 2] = -0.694879f;
 	val_dir[12592*3 + 0] = -0.501740f;	val_dir[12592*3 + 1] = -0.448926f;	val_dir[12592*3 + 2] = -0.739407f;
 	val_dir[12593*3 + 0] = -0.467888f;	val_dir[12593*3 + 1] = -0.41590f;	val_dir[12593*3 + 2] = -0.779813f;
 	val_dir[12594*3 + 0] = -0.433482f;	val_dir[12594*3 + 1] = -0.382484f;	val_dir[12594*3 + 2] = -0.815966f;
 	val_dir[12595*3 + 0] = -0.399004f;	val_dir[12595*3 + 1] = -0.349128f;	val_dir[12595*3 + 2] = -0.847883f;
 	val_dir[12596*3 + 0] = -0.364878f;	val_dir[12596*3 + 1] = -0.316228f;	val_dir[12596*3 + 2] = -0.875708f;
 	val_dir[12597*3 + 0] = -0.331460f;	val_dir[12597*3 + 1] = -0.284108f;	val_dir[12597*3 + 2] = -0.899676f;
 	val_dir[12598*3 + 0] = -0.299028f;	val_dir[12598*3 + 1] = -0.253024f;	val_dir[12598*3 + 2] = -0.920087f;
 	val_dir[12599*3 + 0] = -0.267793f;	val_dir[12599*3 + 1] = -0.223161f;	val_dir[12599*3 + 2] = -0.937276f;
 	val_dir[12600*3 + 0] = -0.237897f;	val_dir[12600*3 + 1] = -0.194643f;	val_dir[12600*3 + 2] = -0.951588f;
 	val_dir[12601*3 + 0] = -0.209427f;	val_dir[12601*3 + 1] = -0.167542f;	val_dir[12601*3 + 2] = -0.963364f;
 	val_dir[12602*3 + 0] = -0.182424f;	val_dir[12602*3 + 1] = -0.141885f;	val_dir[12602*3 + 2] = -0.972929f;
 	val_dir[12603*3 + 0] = -0.156893f;	val_dir[12603*3 + 1] = -0.117670f;	val_dir[12603*3 + 2] = -0.980581f;
 	val_dir[12604*3 + 0] = -0.132810f;	val_dir[12604*3 + 1] = -0.094865f;	val_dir[12604*3 + 2] = -0.986591f;
 	val_dir[12605*3 + 0] = -0.110133f;	val_dir[12605*3 + 1] = -0.073422f;	val_dir[12605*3 + 2] = -0.991201f;
 	val_dir[12606*3 + 0] = -0.088806f;	val_dir[12606*3 + 1] = -0.053283f;	val_dir[12606*3 + 2] = -0.994623f;
 	val_dir[12607*3 + 0] = -0.068761f;	val_dir[12607*3 + 1] = -0.034381f;	val_dir[12607*3 + 2] = -0.997041f;
 	val_dir[12608*3 + 0] = -0.049931f;	val_dir[12608*3 + 1] = -0.016644f;	val_dir[12608*3 + 2] = -0.998614f;
 	val_dir[12609*3 + 0] = -0.032241f;	val_dir[12609*3 + 1] = 0.0f;	val_dir[12609*3 + 2] = -0.999480f;
 	val_dir[12610*3 + 0] = -0.016125f;	val_dir[12610*3 + 1] = 0.016125f;	val_dir[12610*3 + 2] = -0.999740f;
 	val_dir[12611*3 + 0] = 0.0f;	val_dir[12611*3 + 1] = 0.032241f;	val_dir[12611*3 + 2] = -0.999480f;
 	val_dir[12612*3 + 0] = 0.016644f;	val_dir[12612*3 + 1] = 0.049931f;	val_dir[12612*3 + 2] = -0.998614f;
 	val_dir[12613*3 + 0] = 0.034381f;	val_dir[12613*3 + 1] = 0.068761f;	val_dir[12613*3 + 2] = -0.997041f;
 	val_dir[12614*3 + 0] = 0.053283f;	val_dir[12614*3 + 1] = 0.088806f;	val_dir[12614*3 + 2] = -0.994623f;
 	val_dir[12615*3 + 0] = 0.073422f;	val_dir[12615*3 + 1] = 0.110133f;	val_dir[12615*3 + 2] = -0.991201f;
 	val_dir[12616*3 + 0] = 0.094865f;	val_dir[12616*3 + 1] = 0.132810f;	val_dir[12616*3 + 2] = -0.986591f;
 	val_dir[12617*3 + 0] = 0.117670f;	val_dir[12617*3 + 1] = 0.156893f;	val_dir[12617*3 + 2] = -0.980581f;
 	val_dir[12618*3 + 0] = 0.141885f;	val_dir[12618*3 + 1] = 0.182424f;	val_dir[12618*3 + 2] = -0.972929f;
 	val_dir[12619*3 + 0] = 0.167542f;	val_dir[12619*3 + 1] = 0.209427f;	val_dir[12619*3 + 2] = -0.963364f;
 	val_dir[12620*3 + 0] = 0.194643f;	val_dir[12620*3 + 1] = 0.237897f;	val_dir[12620*3 + 2] = -0.951588f;
 	val_dir[12621*3 + 0] = 0.223161f;	val_dir[12621*3 + 1] = 0.267793f;	val_dir[12621*3 + 2] = -0.937276f;
 	val_dir[12622*3 + 0] = 0.253024f;	val_dir[12622*3 + 1] = 0.299028f;	val_dir[12622*3 + 2] = -0.920087f;
 	val_dir[12623*3 + 0] = 0.284108f;	val_dir[12623*3 + 1] = 0.331460f;	val_dir[12623*3 + 2] = -0.899676f;
 	val_dir[12624*3 + 0] = 0.316228f;	val_dir[12624*3 + 1] = 0.364878f;	val_dir[12624*3 + 2] = -0.875708f;
 	val_dir[12625*3 + 0] = 0.349128f;	val_dir[12625*3 + 1] = 0.399004f;	val_dir[12625*3 + 2] = -0.847883f;
 	val_dir[12626*3 + 0] = 0.382484f;	val_dir[12626*3 + 1] = 0.433482f;	val_dir[12626*3 + 2] = -0.815966f;
 	val_dir[12627*3 + 0] = 0.41590f;	val_dir[12627*3 + 1] = 0.467888f;	val_dir[12627*3 + 2] = -0.779813f;
 	val_dir[12628*3 + 0] = 0.448926f;	val_dir[12628*3 + 1] = 0.501740f;	val_dir[12628*3 + 2] = -0.739407f;
 	val_dir[12629*3 + 0] = 0.481070f;	val_dir[12629*3 + 1] = 0.534522f;	val_dir[12629*3 + 2] = -0.694879f;
 	val_dir[12630*3 + 0] = 0.511834f;	val_dir[12630*3 + 1] = 0.565711f;	val_dir[12630*3 + 2] = -0.646527f;
 	val_dir[12631*3 + 0] = 0.540738f;	val_dir[12631*3 + 1] = 0.594812f;	val_dir[12631*3 + 2] = -0.594812f;
 	val_dir[12632*3 + 0] = 0.567360f;	val_dir[12632*3 + 1] = 0.621395f;	val_dir[12632*3 + 2] = -0.540343f;
 	val_dir[12633*3 + 0] = 0.591364f;	val_dir[12633*3 + 1] = 0.645124f;	val_dir[12633*3 + 2] = -0.483843f;
 	val_dir[12634*3 + 0] = 0.612517f;	val_dir[12634*3 + 1] = 0.665780f;	val_dir[12634*3 + 2] = -0.426099f;
 	val_dir[12635*3 + 0] = 0.630706f;	val_dir[12635*3 + 1] = 0.683265f;	val_dir[12635*3 + 2] = -0.367912f;
 	val_dir[12636*3 + 0] = 0.645928f;	val_dir[12636*3 + 1] = 0.697602f;	val_dir[12636*3 + 2] = -0.310045f;
 	val_dir[12637*3 + 0] = 0.658281f;	val_dir[12637*3 + 1] = 0.708918f;	val_dir[12637*3 + 2] = -0.253185f;
 	val_dir[12638*3 + 0] = 0.667940f;	val_dir[12638*3 + 1] = 0.717418f;	val_dir[12638*3 + 2] = -0.197908f;
 	val_dir[12639*3 + 0] = 0.675140f;	val_dir[12639*3 + 1] = 0.723364f;	val_dir[12639*3 + 2] = -0.144673f;
 	val_dir[12640*3 + 0] = 0.680144f;	val_dir[12640*3 + 1] = 0.727051f;	val_dir[12640*3 + 2] = -0.093813f;
 	val_dir[12641*3 + 0] = 0.683231f;	val_dir[12641*3 + 1] = 0.728780f;	val_dir[12641*3 + 2] = -0.045549f;
 	val_dir[12642*3 + 0] = 0.684675f;	val_dir[12642*3 + 1] = 0.728848f;	val_dir[12642*3 + 2] = 0.0f;
 	val_dir[12643*3 + 0] = -0.739754f;	val_dir[12643*3 + 1] = -0.672504f;	val_dir[12643*3 + 2] = -0.022417f;
 	val_dir[12644*3 + 0] = -0.739205f;	val_dir[12644*3 + 1] = -0.669905f;	val_dir[12644*3 + 2] = -0.069301f;
 	val_dir[12645*3 + 0] = -0.736843f;	val_dir[12645*3 + 1] = -0.665536f;	val_dir[12645*3 + 2] = -0.118846f;
 	val_dir[12646*3 + 0] = -0.732361f;	val_dir[12646*3 + 1] = -0.659125f;	val_dir[12646*3 + 2] = -0.170884f;
 	val_dir[12647*3 + 0] = -0.725454f;	val_dir[12647*3 + 1] = -0.650407f;	val_dir[12647*3 + 2] = -0.225141f;
 	val_dir[12648*3 + 0] = -0.715834f;	val_dir[12648*3 + 1] = -0.639138f;	val_dir[12648*3 + 2] = -0.281220f;
 	val_dir[12649*3 + 0] = -0.703259f;	val_dir[12649*3 + 1] = -0.625119f;	val_dir[12649*3 + 2] = -0.338606f;
 	val_dir[12650*3 + 0] = -0.687552f;	val_dir[12650*3 + 1] = -0.608219f;	val_dir[12650*3 + 2] = -0.396664f;
 	val_dir[12651*3 + 0] = -0.668631f;	val_dir[12651*3 + 1] = -0.588395f;	val_dir[12651*3 + 2] = -0.454669f;
 	val_dir[12652*3 + 0] = -0.646527f;	val_dir[12652*3 + 1] = -0.565711f;	val_dir[12652*3 + 2] = -0.511834f;
 	val_dir[12653*3 + 0] = -0.621395f;	val_dir[12653*3 + 1] = -0.540343f;	val_dir[12653*3 + 2] = -0.567360f;
 	val_dir[12654*3 + 0] = -0.593512f;	val_dir[12654*3 + 1] = -0.512578f;	val_dir[12654*3 + 2] = -0.620490f;
 	val_dir[12655*3 + 0] = -0.563264f;	val_dir[12655*3 + 1] = -0.482798f;	val_dir[12655*3 + 2] = -0.670552f;
 	val_dir[12656*3 + 0] = -0.531119f;	val_dir[12656*3 + 1] = -0.451451f;	val_dir[12656*3 + 2] = -0.717011f;
 	val_dir[12657*3 + 0] = -0.497594f;	val_dir[12657*3 + 1] = -0.419026f;	val_dir[12657*3 + 2] = -0.759485f;
 	val_dir[12658*3 + 0] = -0.463217f;	val_dir[12658*3 + 1] = -0.386014f;	val_dir[12658*3 + 2] = -0.797762f;
 	val_dir[12659*3 + 0] = -0.428496f;	val_dir[12659*3 + 1] = -0.352879f;	val_dir[12659*3 + 2] = -0.831786f;
 	val_dir[12660*3 + 0] = -0.393893f;	val_dir[12660*3 + 1] = -0.320038f;	val_dir[12660*3 + 2] = -0.861640f;
 	val_dir[12661*3 + 0] = -0.359804f;	val_dir[12661*3 + 1] = -0.287843f;	val_dir[12661*3 + 2] = -0.887517f;
 	val_dir[12662*3 + 0] = -0.326554f;	val_dir[12662*3 + 1] = -0.256578f;	val_dir[12662*3 + 2] = -0.909687f;
 	val_dir[12663*3 + 0] = -0.294392f;	val_dir[12663*3 + 1] = -0.226455f;	val_dir[12663*3 + 2] = -0.928467f;
 	val_dir[12664*3 + 0] = -0.263498f;	val_dir[12664*3 + 1] = -0.197623f;	val_dir[12664*3 + 2] = -0.94420f;
 	val_dir[12665*3 + 0] = -0.233990f;	val_dir[12665*3 + 1] = -0.170174f;	val_dir[12665*3 + 2] = -0.957230f;
 	val_dir[12666*3 + 0] = -0.205934f;	val_dir[12666*3 + 1] = -0.144154f;	val_dir[12666*3 + 2] = -0.967890f;
 	val_dir[12667*3 + 0] = -0.179355f;	val_dir[12667*3 + 1] = -0.119570f;	val_dir[12667*3 + 2] = -0.976491f;
 	val_dir[12668*3 + 0] = -0.154246f;	val_dir[12668*3 + 1] = -0.096404f;	val_dir[12668*3 + 2] = -0.983318f;
 	val_dir[12669*3 + 0] = -0.130573f;	val_dir[12669*3 + 1] = -0.074613f;	val_dir[12669*3 + 2] = -0.988627f;
 	val_dir[12670*3 + 0] = -0.108288f;	val_dir[12670*3 + 1] = -0.054144f;	val_dir[12670*3 + 2] = -0.992644f;
 	val_dir[12671*3 + 0] = -0.087330f;	val_dir[12671*3 + 1] = -0.034932f;	val_dir[12671*3 + 2] = -0.995567f;
 	val_dir[12672*3 + 0] = -0.067632f;	val_dir[12672*3 + 1] = -0.016908f;	val_dir[12672*3 + 2] = -0.997567f;
 	val_dir[12673*3 + 0] = -0.049121f;	val_dir[12673*3 + 1] = 0.0f;	val_dir[12673*3 + 2] = -0.998793f;
 	val_dir[12674*3 + 0] = -0.032765f;	val_dir[12674*3 + 1] = 0.016382f;	val_dir[12674*3 + 2] = -0.999329f;
 	val_dir[12675*3 + 0] = -0.016382f;	val_dir[12675*3 + 1] = 0.032765f;	val_dir[12675*3 + 2] = -0.999329f;
 	val_dir[12676*3 + 0] = 0.0f;	val_dir[12676*3 + 1] = 0.049121f;	val_dir[12676*3 + 2] = -0.998793f;
 	val_dir[12677*3 + 0] = 0.016908f;	val_dir[12677*3 + 1] = 0.067632f;	val_dir[12677*3 + 2] = -0.997567f;
 	val_dir[12678*3 + 0] = 0.034932f;	val_dir[12678*3 + 1] = 0.087330f;	val_dir[12678*3 + 2] = -0.995567f;
 	val_dir[12679*3 + 0] = 0.054144f;	val_dir[12679*3 + 1] = 0.108288f;	val_dir[12679*3 + 2] = -0.992644f;
 	val_dir[12680*3 + 0] = 0.074613f;	val_dir[12680*3 + 1] = 0.130573f;	val_dir[12680*3 + 2] = -0.988627f;
 	val_dir[12681*3 + 0] = 0.096404f;	val_dir[12681*3 + 1] = 0.154246f;	val_dir[12681*3 + 2] = -0.983318f;
 	val_dir[12682*3 + 0] = 0.119570f;	val_dir[12682*3 + 1] = 0.179355f;	val_dir[12682*3 + 2] = -0.976491f;
 	val_dir[12683*3 + 0] = 0.144154f;	val_dir[12683*3 + 1] = 0.205934f;	val_dir[12683*3 + 2] = -0.967890f;
 	val_dir[12684*3 + 0] = 0.170174f;	val_dir[12684*3 + 1] = 0.233990f;	val_dir[12684*3 + 2] = -0.957230f;
 	val_dir[12685*3 + 0] = 0.197623f;	val_dir[12685*3 + 1] = 0.263498f;	val_dir[12685*3 + 2] = -0.94420f;
 	val_dir[12686*3 + 0] = 0.226455f;	val_dir[12686*3 + 1] = 0.294392f;	val_dir[12686*3 + 2] = -0.928467f;
 	val_dir[12687*3 + 0] = 0.256578f;	val_dir[12687*3 + 1] = 0.326554f;	val_dir[12687*3 + 2] = -0.909687f;
 	val_dir[12688*3 + 0] = 0.287843f;	val_dir[12688*3 + 1] = 0.359804f;	val_dir[12688*3 + 2] = -0.887517f;
 	val_dir[12689*3 + 0] = 0.320038f;	val_dir[12689*3 + 1] = 0.393893f;	val_dir[12689*3 + 2] = -0.861640f;
 	val_dir[12690*3 + 0] = 0.352879f;	val_dir[12690*3 + 1] = 0.428496f;	val_dir[12690*3 + 2] = -0.831786f;
 	val_dir[12691*3 + 0] = 0.386014f;	val_dir[12691*3 + 1] = 0.463217f;	val_dir[12691*3 + 2] = -0.797762f;
 	val_dir[12692*3 + 0] = 0.419026f;	val_dir[12692*3 + 1] = 0.497594f;	val_dir[12692*3 + 2] = -0.759485f;
 	val_dir[12693*3 + 0] = 0.451451f;	val_dir[12693*3 + 1] = 0.531119f;	val_dir[12693*3 + 2] = -0.717011f;
 	val_dir[12694*3 + 0] = 0.482798f;	val_dir[12694*3 + 1] = 0.563264f;	val_dir[12694*3 + 2] = -0.670552f;
 	val_dir[12695*3 + 0] = 0.512578f;	val_dir[12695*3 + 1] = 0.593512f;	val_dir[12695*3 + 2] = -0.620490f;
 	val_dir[12696*3 + 0] = 0.540343f;	val_dir[12696*3 + 1] = 0.621395f;	val_dir[12696*3 + 2] = -0.567360f;
 	val_dir[12697*3 + 0] = 0.565711f;	val_dir[12697*3 + 1] = 0.646527f;	val_dir[12697*3 + 2] = -0.511834f;
 	val_dir[12698*3 + 0] = 0.588395f;	val_dir[12698*3 + 1] = 0.668631f;	val_dir[12698*3 + 2] = -0.454669f;
 	val_dir[12699*3 + 0] = 0.608219f;	val_dir[12699*3 + 1] = 0.687552f;	val_dir[12699*3 + 2] = -0.396664f;
 	val_dir[12700*3 + 0] = 0.625119f;	val_dir[12700*3 + 1] = 0.703259f;	val_dir[12700*3 + 2] = -0.338606f;
 	val_dir[12701*3 + 0] = 0.639138f;	val_dir[12701*3 + 1] = 0.715834f;	val_dir[12701*3 + 2] = -0.281220f;
 	val_dir[12702*3 + 0] = 0.650407f;	val_dir[12702*3 + 1] = 0.725454f;	val_dir[12702*3 + 2] = -0.225141f;
 	val_dir[12703*3 + 0] = 0.659125f;	val_dir[12703*3 + 1] = 0.732361f;	val_dir[12703*3 + 2] = -0.170884f;
 	val_dir[12704*3 + 0] = 0.665536f;	val_dir[12704*3 + 1] = 0.736843f;	val_dir[12704*3 + 2] = -0.118846f;
 	val_dir[12705*3 + 0] = 0.669905f;	val_dir[12705*3 + 1] = 0.739205f;	val_dir[12705*3 + 2] = -0.069301f;
 	val_dir[12706*3 + 0] = 0.672504f;	val_dir[12706*3 + 1] = 0.739754f;	val_dir[12706*3 + 2] = -0.022417f;
 	val_dir[12707*3 + 0] = -0.749838f;	val_dir[12707*3 + 1] = -0.661622f;	val_dir[12707*3 + 2] = 0.0f;
 	val_dir[12708*3 + 0] = -0.750388f;	val_dir[12708*3 + 1] = -0.659432f;	val_dir[12708*3 + 2] = -0.045478f;
 	val_dir[12709*3 + 0] = -0.749269f;	val_dir[12709*3 + 1] = -0.655610f;	val_dir[12709*3 + 2] = -0.093659f;
 	val_dir[12710*3 + 0] = -0.746176f;	val_dir[12710*3 + 1] = -0.649895f;	val_dir[12710*3 + 2] = -0.144421f;
 	val_dir[12711*3 + 0] = -0.740797f;	val_dir[12711*3 + 1] = -0.642024f;	val_dir[12711*3 + 2] = -0.197546f;
 	val_dir[12712*3 + 0] = -0.732828f;	val_dir[12712*3 + 1] = -0.631748f;	val_dir[12712*3 + 2] = -0.252699f;
 	val_dir[12713*3 + 0] = -0.721995f;	val_dir[12713*3 + 1] = -0.618853f;	val_dir[12713*3 + 2] = -0.309426f;
 	val_dir[12714*3 + 0] = -0.708079f;	val_dir[12714*3 + 1] = -0.603178f;	val_dir[12714*3 + 2] = -0.367152f;
 	val_dir[12715*3 + 0] = -0.690942f;	val_dir[12715*3 + 1] = -0.584643f;	val_dir[12715*3 + 2] = -0.425195f;
 	val_dir[12716*3 + 0] = -0.670552f;	val_dir[12716*3 + 1] = -0.563264f;	val_dir[12716*3 + 2] = -0.482798f;
 	val_dir[12717*3 + 0] = -0.646997f;	val_dir[12717*3 + 1] = -0.539164f;	val_dir[12717*3 + 2] = -0.539164f;
 	val_dir[12718*3 + 0] = -0.620490f;	val_dir[12718*3 + 1] = -0.512578f;	val_dir[12718*3 + 2] = -0.593512f;
 	val_dir[12719*3 + 0] = -0.591364f;	val_dir[12719*3 + 1] = -0.483843f;	val_dir[12719*3 + 2] = -0.645124f;
 	val_dir[12720*3 + 0] = -0.560050f;	val_dir[12720*3 + 1] = -0.453374f;	val_dir[12720*3 + 2] = -0.693395f;
 	val_dir[12721*3 + 0] = -0.527046f;	val_dir[12721*3 + 1] = -0.421637f;	val_dir[12721*3 + 2] = -0.737865f;
 	val_dir[12722*3 + 0] = -0.492883f;	val_dir[12722*3 + 1] = -0.389118f;	val_dir[12722*3 + 2] = -0.778237f;
 	val_dir[12723*3 + 0] = -0.458088f;	val_dir[12723*3 + 1] = -0.356291f;	val_dir[12723*3 + 2] = -0.814379f;
 	val_dir[12724*3 + 0] = -0.423153f;	val_dir[12724*3 + 1] = -0.323587f;	val_dir[12724*3 + 2] = -0.846305f;
 	val_dir[12725*3 + 0] = -0.388514f;	val_dir[12725*3 + 1] = -0.291386f;	val_dir[12725*3 + 2] = -0.874157f;
 	val_dir[12726*3 + 0] = -0.354540f;	val_dir[12726*3 + 1] = -0.259996f;	val_dir[12726*3 + 2] = -0.898167f;
 	val_dir[12727*3 + 0] = -0.321521f;	val_dir[12727*3 + 1] = -0.229658f;	val_dir[12727*3 + 2] = -0.918630f;
 	val_dir[12728*3 + 0] = -0.289677f;	val_dir[12728*3 + 1] = -0.200545f;	val_dir[12728*3 + 2] = -0.935879f;
 	val_dir[12729*3 + 0] = -0.259161f;	val_dir[12729*3 + 1] = -0.172774f;	val_dir[12729*3 + 2] = -0.950255f;
 	val_dir[12730*3 + 0] = -0.230067f;	val_dir[12730*3 + 1] = -0.146406f;	val_dir[12730*3 + 2] = -0.962099f;
 	val_dir[12731*3 + 0] = -0.202444f;	val_dir[12731*3 + 1] = -0.121466f;	val_dir[12731*3 + 2] = -0.971732f;
 	val_dir[12732*3 + 0] = -0.176301f;	val_dir[12732*3 + 1] = -0.097945f;	val_dir[12732*3 + 2] = -0.979451f;
 	val_dir[12733*3 + 0] = -0.151620f;	val_dir[12733*3 + 1] = -0.075810f;	val_dir[12733*3 + 2] = -0.985527f;
 	val_dir[12734*3 + 0] = -0.128359f;	val_dir[12734*3 + 1] = -0.055011f;	val_dir[12734*3 + 2] = -0.990201f;
 	val_dir[12735*3 + 0] = -0.106466f;	val_dir[12735*3 + 1] = -0.035489f;	val_dir[12735*3 + 2] = -0.993683f;
 	val_dir[12736*3 + 0] = -0.085876f;	val_dir[12736*3 + 1] = -0.017175f;	val_dir[12736*3 + 2] = -0.996158f;
 	val_dir[12737*3 + 0] = -0.066519f;	val_dir[12737*3 + 1] = 0.0f;	val_dir[12737*3 + 2] = -0.997785f;
 	val_dir[12738*3 + 0] = -0.049931f;	val_dir[12738*3 + 1] = 0.016644f;	val_dir[12738*3 + 2] = -0.998614f;
 	val_dir[12739*3 + 0] = -0.033296f;	val_dir[12739*3 + 1] = 0.033296f;	val_dir[12739*3 + 2] = -0.998891f;
 	val_dir[12740*3 + 0] = -0.016644f;	val_dir[12740*3 + 1] = 0.049931f;	val_dir[12740*3 + 2] = -0.998614f;
 	val_dir[12741*3 + 0] = 0.0f;	val_dir[12741*3 + 1] = 0.066519f;	val_dir[12741*3 + 2] = -0.997785f;
 	val_dir[12742*3 + 0] = 0.017175f;	val_dir[12742*3 + 1] = 0.085876f;	val_dir[12742*3 + 2] = -0.996158f;
 	val_dir[12743*3 + 0] = 0.035489f;	val_dir[12743*3 + 1] = 0.106466f;	val_dir[12743*3 + 2] = -0.993683f;
 	val_dir[12744*3 + 0] = 0.055011f;	val_dir[12744*3 + 1] = 0.128359f;	val_dir[12744*3 + 2] = -0.990201f;
 	val_dir[12745*3 + 0] = 0.075810f;	val_dir[12745*3 + 1] = 0.151620f;	val_dir[12745*3 + 2] = -0.985527f;
 	val_dir[12746*3 + 0] = 0.097945f;	val_dir[12746*3 + 1] = 0.176301f;	val_dir[12746*3 + 2] = -0.979451f;
 	val_dir[12747*3 + 0] = 0.121466f;	val_dir[12747*3 + 1] = 0.202444f;	val_dir[12747*3 + 2] = -0.971732f;
 	val_dir[12748*3 + 0] = 0.146406f;	val_dir[12748*3 + 1] = 0.230067f;	val_dir[12748*3 + 2] = -0.962099f;
 	val_dir[12749*3 + 0] = 0.172774f;	val_dir[12749*3 + 1] = 0.259161f;	val_dir[12749*3 + 2] = -0.950255f;
 	val_dir[12750*3 + 0] = 0.200545f;	val_dir[12750*3 + 1] = 0.289677f;	val_dir[12750*3 + 2] = -0.935879f;
 	val_dir[12751*3 + 0] = 0.229658f;	val_dir[12751*3 + 1] = 0.321521f;	val_dir[12751*3 + 2] = -0.918630f;
 	val_dir[12752*3 + 0] = 0.259996f;	val_dir[12752*3 + 1] = 0.354540f;	val_dir[12752*3 + 2] = -0.898167f;
 	val_dir[12753*3 + 0] = 0.291386f;	val_dir[12753*3 + 1] = 0.388514f;	val_dir[12753*3 + 2] = -0.874157f;
 	val_dir[12754*3 + 0] = 0.323587f;	val_dir[12754*3 + 1] = 0.423153f;	val_dir[12754*3 + 2] = -0.846305f;
 	val_dir[12755*3 + 0] = 0.356291f;	val_dir[12755*3 + 1] = 0.458088f;	val_dir[12755*3 + 2] = -0.814379f;
 	val_dir[12756*3 + 0] = 0.389118f;	val_dir[12756*3 + 1] = 0.492883f;	val_dir[12756*3 + 2] = -0.778237f;
 	val_dir[12757*3 + 0] = 0.421637f;	val_dir[12757*3 + 1] = 0.527046f;	val_dir[12757*3 + 2] = -0.737865f;
 	val_dir[12758*3 + 0] = 0.453374f;	val_dir[12758*3 + 1] = 0.560050f;	val_dir[12758*3 + 2] = -0.693395f;
 	val_dir[12759*3 + 0] = 0.483843f;	val_dir[12759*3 + 1] = 0.591364f;	val_dir[12759*3 + 2] = -0.645124f;
 	val_dir[12760*3 + 0] = 0.512578f;	val_dir[12760*3 + 1] = 0.620490f;	val_dir[12760*3 + 2] = -0.593512f;
 	val_dir[12761*3 + 0] = 0.539164f;	val_dir[12761*3 + 1] = 0.646997f;	val_dir[12761*3 + 2] = -0.539164f;
 	val_dir[12762*3 + 0] = 0.563264f;	val_dir[12762*3 + 1] = 0.670552f;	val_dir[12762*3 + 2] = -0.482798f;
 	val_dir[12763*3 + 0] = 0.584643f;	val_dir[12763*3 + 1] = 0.690942f;	val_dir[12763*3 + 2] = -0.425195f;
 	val_dir[12764*3 + 0] = 0.603178f;	val_dir[12764*3 + 1] = 0.708079f;	val_dir[12764*3 + 2] = -0.367152f;
 	val_dir[12765*3 + 0] = 0.618853f;	val_dir[12765*3 + 1] = 0.721995f;	val_dir[12765*3 + 2] = -0.309426f;
 	val_dir[12766*3 + 0] = 0.631748f;	val_dir[12766*3 + 1] = 0.732828f;	val_dir[12766*3 + 2] = -0.252699f;
 	val_dir[12767*3 + 0] = 0.642024f;	val_dir[12767*3 + 1] = 0.740797f;	val_dir[12767*3 + 2] = -0.197546f;
 	val_dir[12768*3 + 0] = 0.649895f;	val_dir[12768*3 + 1] = 0.746176f;	val_dir[12768*3 + 2] = -0.144421f;
 	val_dir[12769*3 + 0] = 0.655610f;	val_dir[12769*3 + 1] = 0.749269f;	val_dir[12769*3 + 2] = -0.093659f;
 	val_dir[12770*3 + 0] = 0.659432f;	val_dir[12770*3 + 1] = 0.750388f;	val_dir[12770*3 + 2] = -0.045478f;
 	val_dir[12771*3 + 0] = 0.661622f;	val_dir[12771*3 + 1] = 0.749838f;	val_dir[12771*3 + 2] = 0.0f;
 	val_dir[12772*3 + 0] = -0.760644f;	val_dir[12772*3 + 1] = -0.648784f;	val_dir[12772*3 + 2] = -0.022372f;
 	val_dir[12773*3 + 0] = -0.760684f;	val_dir[12773*3 + 1] = -0.645429f;	val_dir[12773*3 + 2] = -0.069153f;
 	val_dir[12774*3 + 0] = -0.758899f;	val_dir[12774*3 + 1] = -0.640321f;	val_dir[12774*3 + 2] = -0.118578f;
 	val_dir[12775*3 + 0] = -0.754976f;	val_dir[12775*3 + 1] = -0.633205f;	val_dir[12775*3 + 2] = -0.170478f;
 	val_dir[12776*3 + 0] = -0.748598f;	val_dir[12776*3 + 1] = -0.623831f;	val_dir[12776*3 + 2] = -0.224579f;
 	val_dir[12777*3 + 0] = -0.739469f;	val_dir[12777*3 + 1] = -0.611974f;	val_dir[12777*3 + 2] = -0.280488f;
 	val_dir[12778*3 + 0] = -0.727334f;	val_dir[12778*3 + 1] = -0.597453f;	val_dir[12778*3 + 2] = -0.337691f;
 	val_dir[12779*3 + 0] = -0.712007f;	val_dir[12779*3 + 1] = -0.580154f;	val_dir[12779*3 + 2] = -0.395559f;
 	val_dir[12780*3 + 0] = -0.693395f;	val_dir[12780*3 + 1] = -0.560050f;	val_dir[12780*3 + 2] = -0.453374f;
 	val_dir[12781*3 + 0] = -0.671519f;	val_dir[12781*3 + 1] = -0.537215f;	val_dir[12781*3 + 2] = -0.510355f;
 	val_dir[12782*3 + 0] = -0.646527f;	val_dir[12782*3 + 1] = -0.511834f;	val_dir[12782*3 + 2] = -0.565711f;
 	val_dir[12783*3 + 0] = -0.618691f;	val_dir[12783*3 + 1] = -0.484193f;	val_dir[12783*3 + 2] = -0.618691f;
 	val_dir[12784*3 + 0] = -0.588395f;	val_dir[12784*3 + 1] = -0.454669f;	val_dir[12784*3 + 2] = -0.668631f;
 	val_dir[12785*3 + 0] = -0.556108f;	val_dir[12785*3 + 1] = -0.423702f;	val_dir[12785*3 + 2] = -0.714997f;
 	val_dir[12786*3 + 0] = -0.522352f;	val_dir[12786*3 + 1] = -0.391764f;	val_dir[12786*3 + 2] = -0.757410f;
 	val_dir[12787*3 + 0] = -0.487661f;	val_dir[12787*3 + 1] = -0.359329f;	val_dir[12787*3 + 2] = -0.795657f;
 	val_dir[12788*3 + 0] = -0.452553f;	val_dir[12788*3 + 1] = -0.326844f;	val_dir[12788*3 + 2] = -0.829680f;
 	val_dir[12789*3 + 0] = -0.41750f;	val_dir[12789*3 + 1] = -0.294706f;	val_dir[12789*3 + 2] = -0.859559f;
 	val_dir[12790*3 + 0] = -0.382911f;	val_dir[12790*3 + 1] = -0.263251f;	val_dir[12790*3 + 2] = -0.885482f;
 	val_dir[12791*3 + 0] = -0.349121f;	val_dir[12791*3 + 1] = -0.232747f;	val_dir[12791*3 + 2] = -0.907713f;
 	val_dir[12792*3 + 0] = -0.316389f;	val_dir[12792*3 + 1] = -0.203393f;	val_dir[12792*3 + 2] = -0.926568f;
 	val_dir[12793*3 + 0] = -0.284907f;	val_dir[12793*3 + 1] = -0.175327f;	val_dir[12793*3 + 2] = -0.942384f;
 	val_dir[12794*3 + 0] = -0.254801f;	val_dir[12794*3 + 1] = -0.148634f;	val_dir[12794*3 + 2] = -0.955502f;
 	val_dir[12795*3 + 0] = -0.226144f;	val_dir[12795*3 + 1] = -0.123351f;	val_dir[12795*3 + 2] = -0.966252f;
 	val_dir[12796*3 + 0] = -0.198968f;	val_dir[12796*3 + 1] = -0.099484f;	val_dir[12796*3 + 2] = -0.974943f;
 	val_dir[12797*3 + 0] = -0.173269f;	val_dir[12797*3 + 1] = -0.077009f;	val_dir[12797*3 + 2] = -0.981859f;
 	val_dir[12798*3 + 0] = -0.149019f;	val_dir[12798*3 + 1] = -0.055882f;	val_dir[12798*3 + 2] = -0.987254f;
 	val_dir[12799*3 + 0] = -0.126172f;	val_dir[12799*3 + 1] = -0.036049f;	val_dir[12799*3 + 2] = -0.991353f;
 	val_dir[12800*3 + 0] = -0.104669f;	val_dir[12800*3 + 1] = -0.017445f;	val_dir[12800*3 + 2] = -0.994354f;
 	val_dir[12801*3 + 0] = -0.084443f;	val_dir[12801*3 + 1] = 0.0f;	val_dir[12801*3 + 2] = -0.996428f;
 	val_dir[12802*3 + 0] = -0.067632f;	val_dir[12802*3 + 1] = 0.016908f;	val_dir[12802*3 + 2] = -0.997567f;
 	val_dir[12803*3 + 0] = -0.050753f;	val_dir[12803*3 + 1] = 0.033835f;	val_dir[12803*3 + 2] = -0.998138f;
 	val_dir[12804*3 + 0] = -0.033835f;	val_dir[12804*3 + 1] = 0.050753f;	val_dir[12804*3 + 2] = -0.998138f;
 	val_dir[12805*3 + 0] = -0.016908f;	val_dir[12805*3 + 1] = 0.067632f;	val_dir[12805*3 + 2] = -0.997567f;
 	val_dir[12806*3 + 0] = 0.0f;	val_dir[12806*3 + 1] = 0.084443f;	val_dir[12806*3 + 2] = -0.996428f;
 	val_dir[12807*3 + 0] = 0.017445f;	val_dir[12807*3 + 1] = 0.104669f;	val_dir[12807*3 + 2] = -0.994354f;
 	val_dir[12808*3 + 0] = 0.036049f;	val_dir[12808*3 + 1] = 0.126172f;	val_dir[12808*3 + 2] = -0.991353f;
 	val_dir[12809*3 + 0] = 0.055882f;	val_dir[12809*3 + 1] = 0.149019f;	val_dir[12809*3 + 2] = -0.987254f;
 	val_dir[12810*3 + 0] = 0.077009f;	val_dir[12810*3 + 1] = 0.173269f;	val_dir[12810*3 + 2] = -0.981859f;
 	val_dir[12811*3 + 0] = 0.099484f;	val_dir[12811*3 + 1] = 0.198968f;	val_dir[12811*3 + 2] = -0.974943f;
 	val_dir[12812*3 + 0] = 0.123351f;	val_dir[12812*3 + 1] = 0.226144f;	val_dir[12812*3 + 2] = -0.966252f;
 	val_dir[12813*3 + 0] = 0.148634f;	val_dir[12813*3 + 1] = 0.254801f;	val_dir[12813*3 + 2] = -0.955502f;
 	val_dir[12814*3 + 0] = 0.175327f;	val_dir[12814*3 + 1] = 0.284907f;	val_dir[12814*3 + 2] = -0.942384f;
 	val_dir[12815*3 + 0] = 0.203393f;	val_dir[12815*3 + 1] = 0.316389f;	val_dir[12815*3 + 2] = -0.926568f;
 	val_dir[12816*3 + 0] = 0.232747f;	val_dir[12816*3 + 1] = 0.349121f;	val_dir[12816*3 + 2] = -0.907713f;
 	val_dir[12817*3 + 0] = 0.263251f;	val_dir[12817*3 + 1] = 0.382911f;	val_dir[12817*3 + 2] = -0.885482f;
 	val_dir[12818*3 + 0] = 0.294706f;	val_dir[12818*3 + 1] = 0.41750f;	val_dir[12818*3 + 2] = -0.859559f;
 	val_dir[12819*3 + 0] = 0.326844f;	val_dir[12819*3 + 1] = 0.452553f;	val_dir[12819*3 + 2] = -0.829680f;
 	val_dir[12820*3 + 0] = 0.359329f;	val_dir[12820*3 + 1] = 0.487661f;	val_dir[12820*3 + 2] = -0.795657f;
 	val_dir[12821*3 + 0] = 0.391764f;	val_dir[12821*3 + 1] = 0.522352f;	val_dir[12821*3 + 2] = -0.757410f;
 	val_dir[12822*3 + 0] = 0.423702f;	val_dir[12822*3 + 1] = 0.556108f;	val_dir[12822*3 + 2] = -0.714997f;
 	val_dir[12823*3 + 0] = 0.454669f;	val_dir[12823*3 + 1] = 0.588395f;	val_dir[12823*3 + 2] = -0.668631f;
 	val_dir[12824*3 + 0] = 0.484193f;	val_dir[12824*3 + 1] = 0.618691f;	val_dir[12824*3 + 2] = -0.618691f;
 	val_dir[12825*3 + 0] = 0.511834f;	val_dir[12825*3 + 1] = 0.646527f;	val_dir[12825*3 + 2] = -0.565711f;
 	val_dir[12826*3 + 0] = 0.537215f;	val_dir[12826*3 + 1] = 0.671519f;	val_dir[12826*3 + 2] = -0.510355f;
 	val_dir[12827*3 + 0] = 0.560050f;	val_dir[12827*3 + 1] = 0.693395f;	val_dir[12827*3 + 2] = -0.453374f;
 	val_dir[12828*3 + 0] = 0.580154f;	val_dir[12828*3 + 1] = 0.712007f;	val_dir[12828*3 + 2] = -0.395559f;
 	val_dir[12829*3 + 0] = 0.597453f;	val_dir[12829*3 + 1] = 0.727334f;	val_dir[12829*3 + 2] = -0.337691f;
 	val_dir[12830*3 + 0] = 0.611974f;	val_dir[12830*3 + 1] = 0.739469f;	val_dir[12830*3 + 2] = -0.280488f;
 	val_dir[12831*3 + 0] = 0.623831f;	val_dir[12831*3 + 1] = 0.748598f;	val_dir[12831*3 + 2] = -0.224579f;
 	val_dir[12832*3 + 0] = 0.633205f;	val_dir[12832*3 + 1] = 0.754976f;	val_dir[12832*3 + 2] = -0.170478f;
 	val_dir[12833*3 + 0] = 0.640321f;	val_dir[12833*3 + 1] = 0.758899f;	val_dir[12833*3 + 2] = -0.118578f;
 	val_dir[12834*3 + 0] = 0.645429f;	val_dir[12834*3 + 1] = 0.760684f;	val_dir[12834*3 + 2] = -0.069153f;
 	val_dir[12835*3 + 0] = 0.648784f;	val_dir[12835*3 + 1] = 0.760644f;	val_dir[12835*3 + 2] = -0.022372f;
 	val_dir[12836*3 + 0] = -0.770022f;	val_dir[12836*3 + 1] = -0.638018f;	val_dir[12836*3 + 2] = 0.0f;
 	val_dir[12837*3 + 0] = -0.771136f;	val_dir[12837*3 + 1] = -0.635053f;	val_dir[12837*3 + 2] = -0.045361f;
 	val_dir[12838*3 + 0] = -0.770574f;	val_dir[12838*3 + 1] = -0.630470f;	val_dir[12838*3 + 2] = -0.093403f;
 	val_dir[12839*3 + 0] = -0.768025f;	val_dir[12839*3 + 1] = -0.624020f;	val_dir[12839*3 + 2] = -0.144005f;
 	val_dir[12840*3 + 0] = -0.763167f;	val_dir[12840*3 + 1] = -0.615457f;	val_dir[12840*3 + 2] = -0.196946f;
 	val_dir[12841*3 + 0] = -0.755689f;	val_dir[12841*3 + 1] = -0.604551f;	val_dir[12841*3 + 2] = -0.251896f;
 	val_dir[12842*3 + 0] = -0.745307f;	val_dir[12842*3 + 1] = -0.591105f;	val_dir[12842*3 + 2] = -0.308403f;
 	val_dir[12843*3 + 0] = -0.731792f;	val_dir[12843*3 + 1] = -0.574979f;	val_dir[12843*3 + 2] = -0.365896f;
 	val_dir[12844*3 + 0] = -0.714997f;	val_dir[12844*3 + 1] = -0.556108f;	val_dir[12844*3 + 2] = -0.423702f;
 	val_dir[12845*3 + 0] = -0.694879f;	val_dir[12845*3 + 1] = -0.534522f;	val_dir[12845*3 + 2] = -0.481070f;
 	val_dir[12846*3 + 0] = -0.671519f;	val_dir[12846*3 + 1] = -0.510355f;	val_dir[12846*3 + 2] = -0.537215f;
 	val_dir[12847*3 + 0] = -0.645124f;	val_dir[12847*3 + 1] = -0.483843f;	val_dir[12847*3 + 2] = -0.591364f;
 	val_dir[12848*3 + 0] = -0.616022f;	val_dir[12848*3 + 1] = -0.455321f;	val_dir[12848*3 + 2] = -0.642806f;
 	val_dir[12849*3 + 0] = -0.584643f;	val_dir[12849*3 + 1] = -0.425195f;	val_dir[12849*3 + 2] = -0.690942f;
 	val_dir[12850*3 + 0] = -0.551487f;	val_dir[12850*3 + 1] = -0.393919f;	val_dir[12850*3 + 2] = -0.735316f;
 	val_dir[12851*3 + 0] = -0.517088f;	val_dir[12851*3 + 1] = -0.361961f;	val_dir[12851*3 + 2] = -0.775632f;
 	val_dir[12852*3 + 0] = -0.481979f;	val_dir[12852*3 + 1] = -0.329775f;	val_dir[12852*3 + 2] = -0.811754f;
 	val_dir[12853*3 + 0] = -0.446662f;	val_dir[12853*3 + 1] = -0.297775f;	val_dir[12853*3 + 2] = -0.843696f;
 	val_dir[12854*3 + 0] = -0.411585f;	val_dir[12854*3 + 1] = -0.266320f;	val_dir[12854*3 + 2] = -0.871592f;
 	val_dir[12855*3 + 0] = -0.377124f;	val_dir[12855*3 + 1] = -0.235702f;	val_dir[12855*3 + 2] = -0.895669f;
 	val_dir[12856*3 + 0] = -0.343582f;	val_dir[12856*3 + 1] = -0.206149f;	val_dir[12856*3 + 2] = -0.916217f;
 	val_dir[12857*3 + 0] = -0.311188f;	val_dir[12857*3 + 1] = -0.177822f;	val_dir[12857*3 + 2] = -0.933564f;
 	val_dir[12858*3 + 0] = -0.280105f;	val_dir[12858*3 + 1] = -0.150826f;	val_dir[12858*3 + 2] = -0.948047f;
 	val_dir[12859*3 + 0] = -0.250435f;	val_dir[12859*3 + 1] = -0.125218f;	val_dir[12859*3 + 2] = -0.960001f;
 	val_dir[12860*3 + 0] = -0.222234f;	val_dir[12860*3 + 1] = -0.101015f;	val_dir[12860*3 + 2] = -0.969746f;
 	val_dir[12861*3 + 0] = -0.195515f;	val_dir[12861*3 + 1] = -0.078206f;	val_dir[12861*3 + 2] = -0.977577f;
 	val_dir[12862*3 + 0] = -0.170267f;	val_dir[12862*3 + 1] = -0.056756f;	val_dir[12862*3 + 2] = -0.983762f;
 	val_dir[12863*3 + 0] = -0.146450f;	val_dir[12863*3 + 1] = -0.036613f;	val_dir[12863*3 + 2] = -0.988540f;
 	val_dir[12864*3 + 0] = -0.124015f;	val_dir[12864*3 + 1] = -0.017716f;	val_dir[12864*3 + 2] = -0.992122f;
 	val_dir[12865*3 + 0] = -0.102899f;	val_dir[12865*3 + 1] = 0.0f;	val_dir[12865*3 + 2] = -0.994692f;
 	val_dir[12866*3 + 0] = -0.085876f;	val_dir[12866*3 + 1] = 0.017175f;	val_dir[12866*3 + 2] = -0.996158f;
 	val_dir[12867*3 + 0] = -0.068761f;	val_dir[12867*3 + 1] = 0.034381f;	val_dir[12867*3 + 2] = -0.997041f;
 	val_dir[12868*3 + 0] = -0.051586f;	val_dir[12868*3 + 1] = 0.051586f;	val_dir[12868*3 + 2] = -0.997335f;
 	val_dir[12869*3 + 0] = -0.034381f;	val_dir[12869*3 + 1] = 0.068761f;	val_dir[12869*3 + 2] = -0.997041f;
 	val_dir[12870*3 + 0] = -0.017175f;	val_dir[12870*3 + 1] = 0.085876f;	val_dir[12870*3 + 2] = -0.996158f;
 	val_dir[12871*3 + 0] = 0.0f;	val_dir[12871*3 + 1] = 0.102899f;	val_dir[12871*3 + 2] = -0.994692f;
 	val_dir[12872*3 + 0] = 0.017716f;	val_dir[12872*3 + 1] = 0.124015f;	val_dir[12872*3 + 2] = -0.992122f;
 	val_dir[12873*3 + 0] = 0.036613f;	val_dir[12873*3 + 1] = 0.146450f;	val_dir[12873*3 + 2] = -0.988540f;
 	val_dir[12874*3 + 0] = 0.056756f;	val_dir[12874*3 + 1] = 0.170267f;	val_dir[12874*3 + 2] = -0.983762f;
 	val_dir[12875*3 + 0] = 0.078206f;	val_dir[12875*3 + 1] = 0.195515f;	val_dir[12875*3 + 2] = -0.977577f;
 	val_dir[12876*3 + 0] = 0.101015f;	val_dir[12876*3 + 1] = 0.222234f;	val_dir[12876*3 + 2] = -0.969746f;
 	val_dir[12877*3 + 0] = 0.125218f;	val_dir[12877*3 + 1] = 0.250435f;	val_dir[12877*3 + 2] = -0.960001f;
 	val_dir[12878*3 + 0] = 0.150826f;	val_dir[12878*3 + 1] = 0.280105f;	val_dir[12878*3 + 2] = -0.948047f;
 	val_dir[12879*3 + 0] = 0.177822f;	val_dir[12879*3 + 1] = 0.311188f;	val_dir[12879*3 + 2] = -0.933564f;
 	val_dir[12880*3 + 0] = 0.206149f;	val_dir[12880*3 + 1] = 0.343582f;	val_dir[12880*3 + 2] = -0.916217f;
 	val_dir[12881*3 + 0] = 0.235702f;	val_dir[12881*3 + 1] = 0.377124f;	val_dir[12881*3 + 2] = -0.895669f;
 	val_dir[12882*3 + 0] = 0.266320f;	val_dir[12882*3 + 1] = 0.411585f;	val_dir[12882*3 + 2] = -0.871592f;
 	val_dir[12883*3 + 0] = 0.297775f;	val_dir[12883*3 + 1] = 0.446662f;	val_dir[12883*3 + 2] = -0.843696f;
 	val_dir[12884*3 + 0] = 0.329775f;	val_dir[12884*3 + 1] = 0.481979f;	val_dir[12884*3 + 2] = -0.811754f;
 	val_dir[12885*3 + 0] = 0.361961f;	val_dir[12885*3 + 1] = 0.517088f;	val_dir[12885*3 + 2] = -0.775632f;
 	val_dir[12886*3 + 0] = 0.393919f;	val_dir[12886*3 + 1] = 0.551487f;	val_dir[12886*3 + 2] = -0.735316f;
 	val_dir[12887*3 + 0] = 0.425195f;	val_dir[12887*3 + 1] = 0.584643f;	val_dir[12887*3 + 2] = -0.690942f;
 	val_dir[12888*3 + 0] = 0.455321f;	val_dir[12888*3 + 1] = 0.616022f;	val_dir[12888*3 + 2] = -0.642806f;
 	val_dir[12889*3 + 0] = 0.483843f;	val_dir[12889*3 + 1] = 0.645124f;	val_dir[12889*3 + 2] = -0.591364f;
 	val_dir[12890*3 + 0] = 0.510355f;	val_dir[12890*3 + 1] = 0.671519f;	val_dir[12890*3 + 2] = -0.537215f;
 	val_dir[12891*3 + 0] = 0.534522f;	val_dir[12891*3 + 1] = 0.694879f;	val_dir[12891*3 + 2] = -0.481070f;
 	val_dir[12892*3 + 0] = 0.556108f;	val_dir[12892*3 + 1] = 0.714997f;	val_dir[12892*3 + 2] = -0.423702f;
 	val_dir[12893*3 + 0] = 0.574979f;	val_dir[12893*3 + 1] = 0.731792f;	val_dir[12893*3 + 2] = -0.365896f;
 	val_dir[12894*3 + 0] = 0.591105f;	val_dir[12894*3 + 1] = 0.745307f;	val_dir[12894*3 + 2] = -0.308403f;
 	val_dir[12895*3 + 0] = 0.604551f;	val_dir[12895*3 + 1] = 0.755689f;	val_dir[12895*3 + 2] = -0.251896f;
 	val_dir[12896*3 + 0] = 0.615457f;	val_dir[12896*3 + 1] = 0.763167f;	val_dir[12896*3 + 2] = -0.196946f;
 	val_dir[12897*3 + 0] = 0.624020f;	val_dir[12897*3 + 1] = 0.768025f;	val_dir[12897*3 + 2] = -0.144005f;
 	val_dir[12898*3 + 0] = 0.630470f;	val_dir[12898*3 + 1] = 0.770574f;	val_dir[12898*3 + 2] = -0.093403f;
 	val_dir[12899*3 + 0] = 0.635053f;	val_dir[12899*3 + 1] = 0.771136f;	val_dir[12899*3 + 2] = -0.045361f;
 	val_dir[12900*3 + 0] = 0.638018f;	val_dir[12900*3 + 1] = 0.770022f;	val_dir[12900*3 + 2] = 0.0f;
 	val_dir[12901*3 + 0] = -0.780675f;	val_dir[12901*3 + 1] = -0.624540f;	val_dir[12901*3 + 2] = -0.022305f;
 	val_dir[12902*3 + 0] = -0.781248f;	val_dir[12902*3 + 1] = -0.620403f;	val_dir[12902*3 + 2] = -0.068934f;
 	val_dir[12903*3 + 0] = -0.779987f;	val_dir[12903*3 + 1] = -0.614535f;	val_dir[12903*3 + 2] = -0.118180f;
 	val_dir[12904*3 + 0] = -0.776571f;	val_dir[12904*3 + 1] = -0.606696f;	val_dir[12904*3 + 2] = -0.169875f;
 	val_dir[12905*3 + 0] = -0.770677f;	val_dir[12905*3 + 1] = -0.596653f;	val_dir[12905*3 + 2] = -0.223745f;
 	val_dir[12906*3 + 0] = -0.762001f;	val_dir[12906*3 + 1] = -0.584201f;	val_dir[12906*3 + 2] = -0.27940f;
 	val_dir[12907*3 + 0] = -0.750279f;	val_dir[12907*3 + 1] = -0.569177f;	val_dir[12907*3 + 2] = -0.336332f;
 	val_dir[12908*3 + 0] = -0.735316f;	val_dir[12908*3 + 1] = -0.551487f;	val_dir[12908*3 + 2] = -0.393919f;
 	val_dir[12909*3 + 0] = -0.717011f;	val_dir[12909*3 + 1] = -0.531119f;	val_dir[12909*3 + 2] = -0.451451f;
 	val_dir[12910*3 + 0] = -0.695376f;	val_dir[12910*3 + 1] = -0.508159f;	val_dir[12910*3 + 2] = -0.508159f;
 	val_dir[12911*3 + 0] = -0.670552f;	val_dir[12911*3 + 1] = -0.482798f;	val_dir[12911*3 + 2] = -0.563264f;
 	val_dir[12912*3 + 0] = -0.642806f;	val_dir[12912*3 + 1] = -0.455321f;	val_dir[12912*3 + 2] = -0.616022f;
 	val_dir[12913*3 + 0] = -0.612517f;	val_dir[12913*3 + 1] = -0.426099f;	val_dir[12913*3 + 2] = -0.665780f;
 	val_dir[12914*3 + 0] = -0.580154f;	val_dir[12914*3 + 1] = -0.395559f;	val_dir[12914*3 + 2] = -0.712007f;
 	val_dir[12915*3 + 0] = -0.546238f;	val_dir[12915*3 + 1] = -0.364159f;	val_dir[12915*3 + 2] = -0.754329f;
 	val_dir[12916*3 + 0] = -0.511310f;	val_dir[12916*3 + 1] = -0.332352f;	val_dir[12916*3 + 2] = -0.792530f;
 	val_dir[12917*3 + 0] = -0.475893f;	val_dir[12917*3 + 1] = -0.300564f;	val_dir[12917*3 + 2] = -0.826551f;
 	val_dir[12918*3 + 0] = -0.440468f;	val_dir[12918*3 + 1] = -0.269175f;	val_dir[12918*3 + 2] = -0.856465f;
 	val_dir[12919*3 + 0] = -0.405452f;	val_dir[12919*3 + 1] = -0.238501f;	val_dir[12919*3 + 2] = -0.882454f;
 	val_dir[12920*3 + 0] = -0.371191f;	val_dir[12920*3 + 1] = -0.208795f;	val_dir[12920*3 + 2] = -0.904777f;
 	val_dir[12921*3 + 0] = -0.337954f;	val_dir[12921*3 + 1] = -0.180242f;	val_dir[12921*3 + 2] = -0.923742f;
 	val_dir[12922*3 + 0] = -0.305942f;	val_dir[12922*3 + 1] = -0.152971f;	val_dir[12922*3 + 2] = -0.939680f;
 	val_dir[12923*3 + 0] = -0.275290f;	val_dir[12923*3 + 1] = -0.127057f;	val_dir[12923*3 + 2] = -0.952928f;
 	val_dir[12924*3 + 0] = -0.246079f;	val_dir[12924*3 + 1] = -0.102533f;	val_dir[12924*3 + 2] = -0.963811f;
 	val_dir[12925*3 + 0] = -0.218347f;	val_dir[12925*3 + 1] = -0.079399f;	val_dir[12925*3 + 2] = -0.972636f;
 	val_dir[12926*3 + 0] = -0.192095f;	val_dir[12926*3 + 1] = -0.057628f;	val_dir[12926*3 + 2] = -0.979683f;
 	val_dir[12927*3 + 0] = -0.167299f;	val_dir[12927*3 + 1] = -0.037178f;	val_dir[12927*3 + 2] = -0.985205f;
 	val_dir[12928*3 + 0] = -0.143917f;	val_dir[12928*3 + 1] = -0.017990f;	val_dir[12928*3 + 2] = -0.989426f;
 	val_dir[12929*3 + 0] = -0.121891f;	val_dir[12929*3 + 1] = 0.0f;	val_dir[12929*3 + 2] = -0.992543f;
 	val_dir[12930*3 + 0] = -0.104669f;	val_dir[12930*3 + 1] = 0.017445f;	val_dir[12930*3 + 2] = -0.994354f;
 	val_dir[12931*3 + 0] = -0.087330f;	val_dir[12931*3 + 1] = 0.034932f;	val_dir[12931*3 + 2] = -0.995567f;
 	val_dir[12932*3 + 0] = -0.069907f;	val_dir[12932*3 + 1] = 0.052430f;	val_dir[12932*3 + 2] = -0.996175f;
 	val_dir[12933*3 + 0] = -0.052430f;	val_dir[12933*3 + 1] = 0.069907f;	val_dir[12933*3 + 2] = -0.996175f;
 	val_dir[12934*3 + 0] = -0.034932f;	val_dir[12934*3 + 1] = 0.087330f;	val_dir[12934*3 + 2] = -0.995567f;
 	val_dir[12935*3 + 0] = -0.017445f;	val_dir[12935*3 + 1] = 0.104669f;	val_dir[12935*3 + 2] = -0.994354f;
 	val_dir[12936*3 + 0] = 0.0f;	val_dir[12936*3 + 1] = 0.121891f;	val_dir[12936*3 + 2] = -0.992543f;
 	val_dir[12937*3 + 0] = 0.017990f;	val_dir[12937*3 + 1] = 0.143917f;	val_dir[12937*3 + 2] = -0.989426f;
 	val_dir[12938*3 + 0] = 0.037178f;	val_dir[12938*3 + 1] = 0.167299f;	val_dir[12938*3 + 2] = -0.985205f;
 	val_dir[12939*3 + 0] = 0.057628f;	val_dir[12939*3 + 1] = 0.192095f;	val_dir[12939*3 + 2] = -0.979683f;
 	val_dir[12940*3 + 0] = 0.079399f;	val_dir[12940*3 + 1] = 0.218347f;	val_dir[12940*3 + 2] = -0.972636f;
 	val_dir[12941*3 + 0] = 0.102533f;	val_dir[12941*3 + 1] = 0.246079f;	val_dir[12941*3 + 2] = -0.963811f;
 	val_dir[12942*3 + 0] = 0.127057f;	val_dir[12942*3 + 1] = 0.275290f;	val_dir[12942*3 + 2] = -0.952928f;
 	val_dir[12943*3 + 0] = 0.152971f;	val_dir[12943*3 + 1] = 0.305942f;	val_dir[12943*3 + 2] = -0.939680f;
 	val_dir[12944*3 + 0] = 0.180242f;	val_dir[12944*3 + 1] = 0.337954f;	val_dir[12944*3 + 2] = -0.923742f;
 	val_dir[12945*3 + 0] = 0.208795f;	val_dir[12945*3 + 1] = 0.371191f;	val_dir[12945*3 + 2] = -0.904777f;
 	val_dir[12946*3 + 0] = 0.238501f;	val_dir[12946*3 + 1] = 0.405452f;	val_dir[12946*3 + 2] = -0.882454f;
 	val_dir[12947*3 + 0] = 0.269175f;	val_dir[12947*3 + 1] = 0.440468f;	val_dir[12947*3 + 2] = -0.856465f;
 	val_dir[12948*3 + 0] = 0.300564f;	val_dir[12948*3 + 1] = 0.475893f;	val_dir[12948*3 + 2] = -0.826551f;
 	val_dir[12949*3 + 0] = 0.332352f;	val_dir[12949*3 + 1] = 0.511310f;	val_dir[12949*3 + 2] = -0.792530f;
 	val_dir[12950*3 + 0] = 0.364159f;	val_dir[12950*3 + 1] = 0.546238f;	val_dir[12950*3 + 2] = -0.754329f;
 	val_dir[12951*3 + 0] = 0.395559f;	val_dir[12951*3 + 1] = 0.580154f;	val_dir[12951*3 + 2] = -0.712007f;
 	val_dir[12952*3 + 0] = 0.426099f;	val_dir[12952*3 + 1] = 0.612517f;	val_dir[12952*3 + 2] = -0.665780f;
 	val_dir[12953*3 + 0] = 0.455321f;	val_dir[12953*3 + 1] = 0.642806f;	val_dir[12953*3 + 2] = -0.616022f;
 	val_dir[12954*3 + 0] = 0.482798f;	val_dir[12954*3 + 1] = 0.670552f;	val_dir[12954*3 + 2] = -0.563264f;
 	val_dir[12955*3 + 0] = 0.508159f;	val_dir[12955*3 + 1] = 0.695376f;	val_dir[12955*3 + 2] = -0.508159f;
 	val_dir[12956*3 + 0] = 0.531119f;	val_dir[12956*3 + 1] = 0.717011f;	val_dir[12956*3 + 2] = -0.451451f;
 	val_dir[12957*3 + 0] = 0.551487f;	val_dir[12957*3 + 1] = 0.735316f;	val_dir[12957*3 + 2] = -0.393919f;
 	val_dir[12958*3 + 0] = 0.569177f;	val_dir[12958*3 + 1] = 0.750279f;	val_dir[12958*3 + 2] = -0.336332f;
 	val_dir[12959*3 + 0] = 0.584201f;	val_dir[12959*3 + 1] = 0.762001f;	val_dir[12959*3 + 2] = -0.27940f;
 	val_dir[12960*3 + 0] = 0.596653f;	val_dir[12960*3 + 1] = 0.770677f;	val_dir[12960*3 + 2] = -0.223745f;
 	val_dir[12961*3 + 0] = 0.606696f;	val_dir[12961*3 + 1] = 0.776571f;	val_dir[12961*3 + 2] = -0.169875f;
 	val_dir[12962*3 + 0] = 0.614535f;	val_dir[12962*3 + 1] = 0.779987f;	val_dir[12962*3 + 2] = -0.118180f;
 	val_dir[12963*3 + 0] = 0.620403f;	val_dir[12963*3 + 1] = 0.781248f;	val_dir[12963*3 + 2] = -0.068934f;
 	val_dir[12964*3 + 0] = 0.624540f;	val_dir[12964*3 + 1] = 0.780675f;	val_dir[12964*3 + 2] = -0.022305f;
 	val_dir[12965*3 + 0] = -0.789352f;	val_dir[12965*3 + 1] = -0.613941f;	val_dir[12965*3 + 2] = 0.0f;
 	val_dir[12966*3 + 0] = -0.790973f;	val_dir[12966*3 + 1] = -0.610179f;	val_dir[12966*3 + 2] = -0.045198f;
 	val_dir[12967*3 + 0] = -0.790912f;	val_dir[12967*3 + 1] = -0.604815f;	val_dir[12967*3 + 2] = -0.093048f;
 	val_dir[12968*3 + 0] = -0.788851f;	val_dir[12968*3 + 1] = -0.597614f;	val_dir[12968*3 + 2] = -0.143427f;
 	val_dir[12969*3 + 0] = -0.784465f;	val_dir[12969*3 + 1] = -0.588348f;	val_dir[12969*3 + 2] = -0.196116f;
 	val_dir[12970*3 + 0] = -0.777433f;	val_dir[12970*3 + 1] = -0.576805f;	val_dir[12970*3 + 2] = -0.250785f;
 	val_dir[12971*3 + 0] = -0.767467f;	val_dir[12971*3 + 1] = -0.562809f;	val_dir[12971*3 + 2] = -0.306987f;
 	val_dir[12972*3 + 0] = -0.754329f;	val_dir[12972*3 + 1] = -0.546238f;	val_dir[12972*3 + 2] = -0.364159f;
 	val_dir[12973*3 + 0] = -0.737865f;	val_dir[12973*3 + 1] = -0.527046f;	val_dir[12973*3 + 2] = -0.421637f;
 	val_dir[12974*3 + 0] = -0.718024f;	val_dir[12974*3 + 1] = -0.505276f;	val_dir[12974*3 + 2] = -0.478683f;
 	val_dir[12975*3 + 0] = -0.694879f;	val_dir[12975*3 + 1] = -0.481070f;	val_dir[12975*3 + 2] = -0.534522f;
 	val_dir[12976*3 + 0] = -0.668631f;	val_dir[12976*3 + 1] = -0.454669f;	val_dir[12976*3 + 2] = -0.588395f;
 	val_dir[12977*3 + 0] = -0.639602f;	val_dir[12977*3 + 1] = -0.426401f;	val_dir[12977*3 + 2] = -0.639602f;
 	val_dir[12978*3 + 0] = -0.608219f;	val_dir[12978*3 + 1] = -0.396664f;	val_dir[12978*3 + 2] = -0.687552f;
 	val_dir[12979*3 + 0] = -0.574979f;	val_dir[12979*3 + 1] = -0.365896f;	val_dir[12979*3 + 2] = -0.731792f;
 	val_dir[12980*3 + 0] = -0.540419f;	val_dir[12980*3 + 1] = -0.334545f;	val_dir[12980*3 + 2] = -0.772027f;
 	val_dir[12981*3 + 0] = -0.505076f;	val_dir[12981*3 + 1] = -0.303046f;	val_dir[12981*3 + 2] = -0.808122f;
 	val_dir[12982*3 + 0] = -0.469458f;	val_dir[12982*3 + 1] = -0.271791f;	val_dir[12982*3 + 2] = -0.840083f;
 	val_dir[12983*3 + 0] = -0.434019f;	val_dir[12983*3 + 1] = -0.241121f;	val_dir[12983*3 + 2] = -0.868037f;
 	val_dir[12984*3 + 0] = -0.399145f;	val_dir[12984*3 + 1] = -0.211312f;	val_dir[12984*3 + 2] = -0.892206f;
 	val_dir[12985*3 + 0] = -0.365148f;	val_dir[12985*3 + 1] = -0.182574f;	val_dir[12985*3 + 2] = -0.912871f;
 	val_dir[12986*3 + 0] = -0.332269f;	val_dir[12986*3 + 1] = -0.155059f;	val_dir[12986*3 + 2] = -0.930352f;
 	val_dir[12987*3 + 0] = -0.300676f;	val_dir[12987*3 + 1] = -0.128861f;	val_dir[12987*3 + 2] = -0.944981f;
 	val_dir[12988*3 + 0] = -0.270481f;	val_dir[12988*3 + 1] = -0.104031f;	val_dir[12988*3 + 2] = -0.957088f;
 	val_dir[12989*3 + 0] = -0.241747f;	val_dir[12989*3 + 1] = -0.080582f;	val_dir[12989*3 + 2] = -0.966988f;
 	val_dir[12990*3 + 0] = -0.214494f;	val_dir[12990*3 + 1] = -0.058498f;	val_dir[12990*3 + 2] = -0.974972f;
 	val_dir[12991*3 + 0] = -0.188713f;	val_dir[12991*3 + 1] = -0.037743f;	val_dir[12991*3 + 2] = -0.981307f;
 	val_dir[12992*3 + 0] = -0.164372f;	val_dir[12992*3 + 1] = -0.018264f;	val_dir[12992*3 + 2] = -0.986229f;
 	val_dir[12993*3 + 0] = -0.141421f;	val_dir[12993*3 + 1] = 0.0f;	val_dir[12993*3 + 2] = -0.989949f;
 	val_dir[12994*3 + 0] = -0.124015f;	val_dir[12994*3 + 1] = 0.017716f;	val_dir[12994*3 + 2] = -0.992122f;
 	val_dir[12995*3 + 0] = -0.106466f;	val_dir[12995*3 + 1] = 0.035489f;	val_dir[12995*3 + 2] = -0.993683f;
 	val_dir[12996*3 + 0] = -0.088806f;	val_dir[12996*3 + 1] = 0.053283f;	val_dir[12996*3 + 2] = -0.994623f;
 	val_dir[12997*3 + 0] = -0.071067f;	val_dir[12997*3 + 1] = 0.071067f;	val_dir[12997*3 + 2] = -0.994937f;
 	val_dir[12998*3 + 0] = -0.053283f;	val_dir[12998*3 + 1] = 0.088806f;	val_dir[12998*3 + 2] = -0.994623f;
 	val_dir[12999*3 + 0] = -0.035489f;	val_dir[12999*3 + 1] = 0.106466f;	val_dir[12999*3 + 2] = -0.993683f;
 	val_dir[13000*3 + 0] = -0.017716f;	val_dir[13000*3 + 1] = 0.124015f;	val_dir[13000*3 + 2] = -0.992122f;
 	val_dir[13001*3 + 0] = 0.0f;	val_dir[13001*3 + 1] = 0.141421f;	val_dir[13001*3 + 2] = -0.989949f;
 	val_dir[13002*3 + 0] = 0.018264f;	val_dir[13002*3 + 1] = 0.164372f;	val_dir[13002*3 + 2] = -0.986229f;
 	val_dir[13003*3 + 0] = 0.037743f;	val_dir[13003*3 + 1] = 0.188713f;	val_dir[13003*3 + 2] = -0.981307f;
 	val_dir[13004*3 + 0] = 0.058498f;	val_dir[13004*3 + 1] = 0.214494f;	val_dir[13004*3 + 2] = -0.974972f;
 	val_dir[13005*3 + 0] = 0.080582f;	val_dir[13005*3 + 1] = 0.241747f;	val_dir[13005*3 + 2] = -0.966988f;
 	val_dir[13006*3 + 0] = 0.104031f;	val_dir[13006*3 + 1] = 0.270481f;	val_dir[13006*3 + 2] = -0.957088f;
 	val_dir[13007*3 + 0] = 0.128861f;	val_dir[13007*3 + 1] = 0.300676f;	val_dir[13007*3 + 2] = -0.944981f;
 	val_dir[13008*3 + 0] = 0.155059f;	val_dir[13008*3 + 1] = 0.332269f;	val_dir[13008*3 + 2] = -0.930352f;
 	val_dir[13009*3 + 0] = 0.182574f;	val_dir[13009*3 + 1] = 0.365148f;	val_dir[13009*3 + 2] = -0.912871f;
 	val_dir[13010*3 + 0] = 0.211312f;	val_dir[13010*3 + 1] = 0.399145f;	val_dir[13010*3 + 2] = -0.892206f;
 	val_dir[13011*3 + 0] = 0.241121f;	val_dir[13011*3 + 1] = 0.434019f;	val_dir[13011*3 + 2] = -0.868037f;
 	val_dir[13012*3 + 0] = 0.271791f;	val_dir[13012*3 + 1] = 0.469458f;	val_dir[13012*3 + 2] = -0.840083f;
 	val_dir[13013*3 + 0] = 0.303046f;	val_dir[13013*3 + 1] = 0.505076f;	val_dir[13013*3 + 2] = -0.808122f;
 	val_dir[13014*3 + 0] = 0.334545f;	val_dir[13014*3 + 1] = 0.540419f;	val_dir[13014*3 + 2] = -0.772027f;
 	val_dir[13015*3 + 0] = 0.365896f;	val_dir[13015*3 + 1] = 0.574979f;	val_dir[13015*3 + 2] = -0.731792f;
 	val_dir[13016*3 + 0] = 0.396664f;	val_dir[13016*3 + 1] = 0.608219f;	val_dir[13016*3 + 2] = -0.687552f;
 	val_dir[13017*3 + 0] = 0.426401f;	val_dir[13017*3 + 1] = 0.639602f;	val_dir[13017*3 + 2] = -0.639602f;
 	val_dir[13018*3 + 0] = 0.454669f;	val_dir[13018*3 + 1] = 0.668631f;	val_dir[13018*3 + 2] = -0.588395f;
 	val_dir[13019*3 + 0] = 0.481070f;	val_dir[13019*3 + 1] = 0.694879f;	val_dir[13019*3 + 2] = -0.534522f;
 	val_dir[13020*3 + 0] = 0.505276f;	val_dir[13020*3 + 1] = 0.718024f;	val_dir[13020*3 + 2] = -0.478683f;
 	val_dir[13021*3 + 0] = 0.527046f;	val_dir[13021*3 + 1] = 0.737865f;	val_dir[13021*3 + 2] = -0.421637f;
 	val_dir[13022*3 + 0] = 0.546238f;	val_dir[13022*3 + 1] = 0.754329f;	val_dir[13022*3 + 2] = -0.364159f;
 	val_dir[13023*3 + 0] = 0.562809f;	val_dir[13023*3 + 1] = 0.767467f;	val_dir[13023*3 + 2] = -0.306987f;
 	val_dir[13024*3 + 0] = 0.576805f;	val_dir[13024*3 + 1] = 0.777433f;	val_dir[13024*3 + 2] = -0.250785f;
 	val_dir[13025*3 + 0] = 0.588348f;	val_dir[13025*3 + 1] = 0.784465f;	val_dir[13025*3 + 2] = -0.196116f;
 	val_dir[13026*3 + 0] = 0.597614f;	val_dir[13026*3 + 1] = 0.788851f;	val_dir[13026*3 + 2] = -0.143427f;
 	val_dir[13027*3 + 0] = 0.604815f;	val_dir[13027*3 + 1] = 0.790912f;	val_dir[13027*3 + 2] = -0.093048f;
 	val_dir[13028*3 + 0] = 0.610179f;	val_dir[13028*3 + 1] = 0.790973f;	val_dir[13028*3 + 2] = -0.045198f;
 	val_dir[13029*3 + 0] = 0.613941f;	val_dir[13029*3 + 1] = 0.789352f;	val_dir[13029*3 + 2] = 0.0f;
 	val_dir[13030*3 + 0] = -0.799803f;	val_dir[13030*3 + 1] = -0.599852f;	val_dir[13030*3 + 2] = -0.022217f;
 	val_dir[13031*3 + 0] = -0.800850f;	val_dir[13031*3 + 1] = -0.594917f;	val_dir[13031*3 + 2] = -0.068644f;
 	val_dir[13032*3 + 0] = -0.800055f;	val_dir[13032*3 + 1] = -0.588276f;	val_dir[13032*3 + 2] = -0.117655f;
 	val_dir[13033*3 + 0] = -0.797092f;	val_dir[13033*3 + 1] = -0.579703f;	val_dir[13033*3 + 2] = -0.169080f;
 	val_dir[13034*3 + 0] = -0.791633f;	val_dir[13034*3 + 1] = -0.568986f;	val_dir[13034*3 + 2] = -0.222647f;
 	val_dir[13035*3 + 0] = -0.783368f;	val_dir[13035*3 + 1] = -0.555939f;	val_dir[13035*3 + 2] = -0.277969f;
 	val_dir[13036*3 + 0] = -0.772027f;	val_dir[13036*3 + 1] = -0.540419f;	val_dir[13036*3 + 2] = -0.334545f;
 	val_dir[13037*3 + 0] = -0.757410f;	val_dir[13037*3 + 1] = -0.522352f;	val_dir[13037*3 + 2] = -0.391764f;
 	val_dir[13038*3 + 0] = -0.739407f;	val_dir[13038*3 + 1] = -0.501740f;	val_dir[13038*3 + 2] = -0.448926f;
 	val_dir[13039*3 + 0] = -0.718024f;	val_dir[13039*3 + 1] = -0.478683f;	val_dir[13039*3 + 2] = -0.505276f;
 	val_dir[13040*3 + 0] = -0.693395f;	val_dir[13040*3 + 1] = -0.453374f;	val_dir[13040*3 + 2] = -0.560050f;
 	val_dir[13041*3 + 0] = -0.665780f;	val_dir[13041*3 + 1] = -0.426099f;	val_dir[13041*3 + 2] = -0.612517f;
 	val_dir[13042*3 + 0] = -0.635553f;	val_dir[13042*3 + 1] = -0.397220f;	val_dir[13042*3 + 2] = -0.662034f;
 	val_dir[13043*3 + 0] = -0.603178f;	val_dir[13043*3 + 1] = -0.367152f;	val_dir[13043*3 + 2] = -0.708079f;
 	val_dir[13044*3 + 0] = -0.569177f;	val_dir[13044*3 + 1] = -0.336332f;	val_dir[13044*3 + 2] = -0.750279f;
 	val_dir[13045*3 + 0] = -0.534090f;	val_dir[13045*3 + 1] = -0.305194f;	val_dir[13045*3 + 2] = -0.788419f;
 	val_dir[13046*3 + 0] = -0.498445f;	val_dir[13046*3 + 1] = -0.274145f;	val_dir[13046*3 + 2] = -0.822434f;
 	val_dir[13047*3 + 0] = -0.462727f;	val_dir[13047*3 + 1] = -0.243541f;	val_dir[13047*3 + 2] = -0.852392f;
 	val_dir[13048*3 + 0] = -0.427362f;	val_dir[13048*3 + 1] = -0.213681f;	val_dir[13048*3 + 2] = -0.878466f;
 	val_dir[13049*3 + 0] = -0.392703f;	val_dir[13049*3 + 1] = -0.184801f;	val_dir[13049*3 + 2] = -0.900907f;
 	val_dir[13050*3 + 0] = -0.359030f;	val_dir[13050*3 + 1] = -0.157075f;	val_dir[13050*3 + 2] = -0.920014f;
 	val_dir[13051*3 + 0] = -0.326550f;	val_dir[13051*3 + 1] = -0.130620f;	val_dir[13051*3 + 2] = -0.936111f;
 	val_dir[13052*3 + 0] = -0.295409f;	val_dir[13052*3 + 1] = -0.105503f;	val_dir[13052*3 + 2] = -0.949528f;
 	val_dir[13053*3 + 0] = -0.265694f;	val_dir[13053*3 + 1] = -0.081752f;	val_dir[13053*3 + 2] = -0.960585f;
 	val_dir[13054*3 + 0] = -0.237449f;	val_dir[13054*3 + 1] = -0.059362f;	val_dir[13054*3 + 2] = -0.969584f;
 	val_dir[13055*3 + 0] = -0.210683f;	val_dir[13055*3 + 1] = -0.038306f;	val_dir[13055*3 + 2] = -0.976804f;
 	val_dir[13056*3 + 0] = -0.185376f;	val_dir[13056*3 + 1] = -0.018538f;	val_dir[13056*3 + 2] = -0.982493f;
 	val_dir[13057*3 + 0] = -0.161489f;	val_dir[13057*3 + 1] = 0.0f;	val_dir[13057*3 + 2] = -0.986875f;
 	val_dir[13058*3 + 0] = -0.143917f;	val_dir[13058*3 + 1] = 0.017990f;	val_dir[13058*3 + 2] = -0.989426f;
 	val_dir[13059*3 + 0] = -0.126172f;	val_dir[13059*3 + 1] = 0.036049f;	val_dir[13059*3 + 2] = -0.991353f;
 	val_dir[13060*3 + 0] = -0.108288f;	val_dir[13060*3 + 1] = 0.054144f;	val_dir[13060*3 + 2] = -0.992644f;
 	val_dir[13061*3 + 0] = -0.090299f;	val_dir[13061*3 + 1] = 0.072239f;	val_dir[13061*3 + 2] = -0.993291f;
 	val_dir[13062*3 + 0] = -0.072239f;	val_dir[13062*3 + 1] = 0.090299f;	val_dir[13062*3 + 2] = -0.993291f;
 	val_dir[13063*3 + 0] = -0.054144f;	val_dir[13063*3 + 1] = 0.108288f;	val_dir[13063*3 + 2] = -0.992644f;
 	val_dir[13064*3 + 0] = -0.036049f;	val_dir[13064*3 + 1] = 0.126172f;	val_dir[13064*3 + 2] = -0.991353f;
 	val_dir[13065*3 + 0] = -0.017990f;	val_dir[13065*3 + 1] = 0.143917f;	val_dir[13065*3 + 2] = -0.989426f;
 	val_dir[13066*3 + 0] = 0.0f;	val_dir[13066*3 + 1] = 0.161489f;	val_dir[13066*3 + 2] = -0.986875f;
 	val_dir[13067*3 + 0] = 0.018538f;	val_dir[13067*3 + 1] = 0.185376f;	val_dir[13067*3 + 2] = -0.982493f;
 	val_dir[13068*3 + 0] = 0.038306f;	val_dir[13068*3 + 1] = 0.210683f;	val_dir[13068*3 + 2] = -0.976804f;
 	val_dir[13069*3 + 0] = 0.059362f;	val_dir[13069*3 + 1] = 0.237449f;	val_dir[13069*3 + 2] = -0.969584f;
 	val_dir[13070*3 + 0] = 0.081752f;	val_dir[13070*3 + 1] = 0.265694f;	val_dir[13070*3 + 2] = -0.960585f;
 	val_dir[13071*3 + 0] = 0.105503f;	val_dir[13071*3 + 1] = 0.295409f;	val_dir[13071*3 + 2] = -0.949528f;
 	val_dir[13072*3 + 0] = 0.130620f;	val_dir[13072*3 + 1] = 0.326550f;	val_dir[13072*3 + 2] = -0.936111f;
 	val_dir[13073*3 + 0] = 0.157075f;	val_dir[13073*3 + 1] = 0.359030f;	val_dir[13073*3 + 2] = -0.920014f;
 	val_dir[13074*3 + 0] = 0.184801f;	val_dir[13074*3 + 1] = 0.392703f;	val_dir[13074*3 + 2] = -0.900907f;
 	val_dir[13075*3 + 0] = 0.213681f;	val_dir[13075*3 + 1] = 0.427362f;	val_dir[13075*3 + 2] = -0.878466f;
 	val_dir[13076*3 + 0] = 0.243541f;	val_dir[13076*3 + 1] = 0.462727f;	val_dir[13076*3 + 2] = -0.852392f;
 	val_dir[13077*3 + 0] = 0.274145f;	val_dir[13077*3 + 1] = 0.498445f;	val_dir[13077*3 + 2] = -0.822434f;
 	val_dir[13078*3 + 0] = 0.305194f;	val_dir[13078*3 + 1] = 0.534090f;	val_dir[13078*3 + 2] = -0.788419f;
 	val_dir[13079*3 + 0] = 0.336332f;	val_dir[13079*3 + 1] = 0.569177f;	val_dir[13079*3 + 2] = -0.750279f;
 	val_dir[13080*3 + 0] = 0.367152f;	val_dir[13080*3 + 1] = 0.603178f;	val_dir[13080*3 + 2] = -0.708079f;
 	val_dir[13081*3 + 0] = 0.397220f;	val_dir[13081*3 + 1] = 0.635553f;	val_dir[13081*3 + 2] = -0.662034f;
 	val_dir[13082*3 + 0] = 0.426099f;	val_dir[13082*3 + 1] = 0.665780f;	val_dir[13082*3 + 2] = -0.612517f;
 	val_dir[13083*3 + 0] = 0.453374f;	val_dir[13083*3 + 1] = 0.693395f;	val_dir[13083*3 + 2] = -0.560050f;
 	val_dir[13084*3 + 0] = 0.478683f;	val_dir[13084*3 + 1] = 0.718024f;	val_dir[13084*3 + 2] = -0.505276f;
 	val_dir[13085*3 + 0] = 0.501740f;	val_dir[13085*3 + 1] = 0.739407f;	val_dir[13085*3 + 2] = -0.448926f;
 	val_dir[13086*3 + 0] = 0.522352f;	val_dir[13086*3 + 1] = 0.757410f;	val_dir[13086*3 + 2] = -0.391764f;
 	val_dir[13087*3 + 0] = 0.540419f;	val_dir[13087*3 + 1] = 0.772027f;	val_dir[13087*3 + 2] = -0.334545f;
 	val_dir[13088*3 + 0] = 0.555939f;	val_dir[13088*3 + 1] = 0.783368f;	val_dir[13088*3 + 2] = -0.277969f;
 	val_dir[13089*3 + 0] = 0.568986f;	val_dir[13089*3 + 1] = 0.791633f;	val_dir[13089*3 + 2] = -0.222647f;
 	val_dir[13090*3 + 0] = 0.579703f;	val_dir[13090*3 + 1] = 0.797092f;	val_dir[13090*3 + 2] = -0.169080f;
 	val_dir[13091*3 + 0] = 0.588276f;	val_dir[13091*3 + 1] = 0.800055f;	val_dir[13091*3 + 2] = -0.117655f;
 	val_dir[13092*3 + 0] = 0.594917f;	val_dir[13092*3 + 1] = 0.800850f;	val_dir[13092*3 + 2] = -0.068644f;
 	val_dir[13093*3 + 0] = 0.599852f;	val_dir[13093*3 + 1] = 0.799803f;	val_dir[13093*3 + 2] = -0.022217f;
 	val_dir[13094*3 + 0] = -0.807791f;	val_dir[13094*3 + 1] = -0.589469f;	val_dir[13094*3 + 2] = 0.0f;
 	val_dir[13095*3 + 0] = -0.809858f;	val_dir[13095*3 + 1] = -0.584898f;	val_dir[13095*3 + 2] = -0.044992f;
 	val_dir[13096*3 + 0] = -0.810237f;	val_dir[13096*3 + 1] = -0.578741f;	val_dir[13096*3 + 2] = -0.092599f;
 	val_dir[13097*3 + 0] = -0.808608f;	val_dir[13097*3 + 1] = -0.570782f;	val_dir[13097*3 + 2] = -0.142695f;
 	val_dir[13098*3 + 0] = -0.804639f;	val_dir[13098*3 + 1] = -0.560809f;	val_dir[13098*3 + 2] = -0.195064f;
 	val_dir[13099*3 + 0] = -0.798007f;	val_dir[13099*3 + 1] = -0.548630f;	val_dir[13099*3 + 2] = -0.249377f;
 	val_dir[13100*3 + 0] = -0.788419f;	val_dir[13100*3 + 1] = -0.534090f;	val_dir[13100*3 + 2] = -0.305194f;
 	val_dir[13101*3 + 0] = -0.775632f;	val_dir[13101*3 + 1] = -0.517088f;	val_dir[13101*3 + 2] = -0.361961f;
 	val_dir[13102*3 + 0] = -0.759485f;	val_dir[13102*3 + 1] = -0.497594f;	val_dir[13102*3 + 2] = -0.419026f;
 	val_dir[13103*3 + 0] = -0.739923f;	val_dir[13103*3 + 1] = -0.475665f;	val_dir[13103*3 + 2] = -0.475665f;
 	val_dir[13104*3 + 0] = -0.717011f;	val_dir[13104*3 + 1] = -0.451451f;	val_dir[13104*3 + 2] = -0.531119f;
 	val_dir[13105*3 + 0] = -0.690942f;	val_dir[13105*3 + 1] = -0.425195f;	val_dir[13105*3 + 2] = -0.584643f;
 	val_dir[13106*3 + 0] = -0.662034f;	val_dir[13106*3 + 1] = -0.397220f;	val_dir[13106*3 + 2] = -0.635553f;
 	val_dir[13107*3 + 0] = -0.630706f;	val_dir[13107*3 + 1] = -0.367912f;	val_dir[13107*3 + 2] = -0.683265f;
 	val_dir[13108*3 + 0] = -0.597453f;	val_dir[13108*3 + 1] = -0.337691f;	val_dir[13108*3 + 2] = -0.727334f;
 	val_dir[13109*3 + 0] = -0.562809f;	val_dir[13109*3 + 1] = -0.306987f;	val_dir[13109*3 + 2] = -0.767467f;
 	val_dir[13110*3 + 0] = -0.527312f;	val_dir[13110*3 + 1] = -0.276211f;	val_dir[13110*3 + 2] = -0.803523f;
 	val_dir[13111*3 + 0] = -0.491473f;	val_dir[13111*3 + 1] = -0.245737f;	val_dir[13111*3 + 2] = -0.835504f;
 	val_dir[13112*3 + 0] = -0.455752f;	val_dir[13112*3 + 1] = -0.215883f;	val_dir[13112*3 + 2] = -0.863530f;
 	val_dir[13113*3 + 0] = -0.420542f;	val_dir[13113*3 + 1] = -0.186908f;	val_dir[13113*3 + 2] = -0.887812f;
 	val_dir[13114*3 + 0] = -0.386164f;	val_dir[13114*3 + 1] = -0.159009f;	val_dir[13114*3 + 2] = -0.908622f;
 	val_dir[13115*3 + 0] = -0.352865f;	val_dir[13115*3 + 1] = -0.132324f;	val_dir[13115*3 + 2] = -0.926270f;
 	val_dir[13116*3 + 0] = -0.320824f;	val_dir[13116*3 + 1] = -0.106941f;	val_dir[13116*3 + 2] = -0.941082f;
 	val_dir[13117*3 + 0] = -0.290159f;	val_dir[13117*3 + 1] = -0.082903f;	val_dir[13117*3 + 2] = -0.953381f;
 	val_dir[13118*3 + 0] = -0.260941f;	val_dir[13118*3 + 1] = -0.060217f;	val_dir[13118*3 + 2] = -0.963475f;
 	val_dir[13119*3 + 0] = -0.233197f;	val_dir[13119*3 + 1] = -0.038866f;	val_dir[13119*3 + 2] = -0.971653f;
 	val_dir[13120*3 + 0] = -0.206922f;	val_dir[13120*3 + 1] = -0.018811f;	val_dir[13120*3 + 2] = -0.978177f;
 	val_dir[13121*3 + 0] = -0.182089f;	val_dir[13121*3 + 1] = 0.0f;	val_dir[13121*3 + 2] = -0.983282f;
 	val_dir[13122*3 + 0] = -0.164372f;	val_dir[13122*3 + 1] = 0.018264f;	val_dir[13122*3 + 2] = -0.986229f;
 	val_dir[13123*3 + 0] = -0.146450f;	val_dir[13123*3 + 1] = 0.036613f;	val_dir[13123*3 + 2] = -0.988540f;
 	val_dir[13124*3 + 0] = -0.128359f;	val_dir[13124*3 + 1] = 0.055011f;	val_dir[13124*3 + 2] = -0.990201f;
 	val_dir[13125*3 + 0] = -0.110133f;	val_dir[13125*3 + 1] = 0.073422f;	val_dir[13125*3 + 2] = -0.991201f;
 	val_dir[13126*3 + 0] = -0.091809f;	val_dir[13126*3 + 1] = 0.091809f;	val_dir[13126*3 + 2] = -0.991535f;
 	val_dir[13127*3 + 0] = -0.073422f;	val_dir[13127*3 + 1] = 0.110133f;	val_dir[13127*3 + 2] = -0.991201f;
 	val_dir[13128*3 + 0] = -0.055011f;	val_dir[13128*3 + 1] = 0.128359f;	val_dir[13128*3 + 2] = -0.990201f;
 	val_dir[13129*3 + 0] = -0.036613f;	val_dir[13129*3 + 1] = 0.146450f;	val_dir[13129*3 + 2] = -0.988540f;
 	val_dir[13130*3 + 0] = -0.018264f;	val_dir[13130*3 + 1] = 0.164372f;	val_dir[13130*3 + 2] = -0.986229f;
 	val_dir[13131*3 + 0] = 0.0f;	val_dir[13131*3 + 1] = 0.182089f;	val_dir[13131*3 + 2] = -0.983282f;
 	val_dir[13132*3 + 0] = 0.018811f;	val_dir[13132*3 + 1] = 0.206922f;	val_dir[13132*3 + 2] = -0.978177f;
 	val_dir[13133*3 + 0] = 0.038866f;	val_dir[13133*3 + 1] = 0.233197f;	val_dir[13133*3 + 2] = -0.971653f;
 	val_dir[13134*3 + 0] = 0.060217f;	val_dir[13134*3 + 1] = 0.260941f;	val_dir[13134*3 + 2] = -0.963475f;
 	val_dir[13135*3 + 0] = 0.082903f;	val_dir[13135*3 + 1] = 0.290159f;	val_dir[13135*3 + 2] = -0.953381f;
 	val_dir[13136*3 + 0] = 0.106941f;	val_dir[13136*3 + 1] = 0.320824f;	val_dir[13136*3 + 2] = -0.941082f;
 	val_dir[13137*3 + 0] = 0.132324f;	val_dir[13137*3 + 1] = 0.352865f;	val_dir[13137*3 + 2] = -0.926270f;
 	val_dir[13138*3 + 0] = 0.159009f;	val_dir[13138*3 + 1] = 0.386164f;	val_dir[13138*3 + 2] = -0.908622f;
 	val_dir[13139*3 + 0] = 0.186908f;	val_dir[13139*3 + 1] = 0.420542f;	val_dir[13139*3 + 2] = -0.887812f;
 	val_dir[13140*3 + 0] = 0.215883f;	val_dir[13140*3 + 1] = 0.455752f;	val_dir[13140*3 + 2] = -0.863530f;
 	val_dir[13141*3 + 0] = 0.245737f;	val_dir[13141*3 + 1] = 0.491473f;	val_dir[13141*3 + 2] = -0.835504f;
 	val_dir[13142*3 + 0] = 0.276211f;	val_dir[13142*3 + 1] = 0.527312f;	val_dir[13142*3 + 2] = -0.803523f;
 	val_dir[13143*3 + 0] = 0.306987f;	val_dir[13143*3 + 1] = 0.562809f;	val_dir[13143*3 + 2] = -0.767467f;
 	val_dir[13144*3 + 0] = 0.337691f;	val_dir[13144*3 + 1] = 0.597453f;	val_dir[13144*3 + 2] = -0.727334f;
 	val_dir[13145*3 + 0] = 0.367912f;	val_dir[13145*3 + 1] = 0.630706f;	val_dir[13145*3 + 2] = -0.683265f;
 	val_dir[13146*3 + 0] = 0.397220f;	val_dir[13146*3 + 1] = 0.662034f;	val_dir[13146*3 + 2] = -0.635553f;
 	val_dir[13147*3 + 0] = 0.425195f;	val_dir[13147*3 + 1] = 0.690942f;	val_dir[13147*3 + 2] = -0.584643f;
 	val_dir[13148*3 + 0] = 0.451451f;	val_dir[13148*3 + 1] = 0.717011f;	val_dir[13148*3 + 2] = -0.531119f;
 	val_dir[13149*3 + 0] = 0.475665f;	val_dir[13149*3 + 1] = 0.739923f;	val_dir[13149*3 + 2] = -0.475665f;
 	val_dir[13150*3 + 0] = 0.497594f;	val_dir[13150*3 + 1] = 0.759485f;	val_dir[13150*3 + 2] = -0.419026f;
 	val_dir[13151*3 + 0] = 0.517088f;	val_dir[13151*3 + 1] = 0.775632f;	val_dir[13151*3 + 2] = -0.361961f;
 	val_dir[13152*3 + 0] = 0.534090f;	val_dir[13152*3 + 1] = 0.788419f;	val_dir[13152*3 + 2] = -0.305194f;
 	val_dir[13153*3 + 0] = 0.548630f;	val_dir[13153*3 + 1] = 0.798007f;	val_dir[13153*3 + 2] = -0.249377f;
 	val_dir[13154*3 + 0] = 0.560809f;	val_dir[13154*3 + 1] = 0.804639f;	val_dir[13154*3 + 2] = -0.195064f;
 	val_dir[13155*3 + 0] = 0.570782f;	val_dir[13155*3 + 1] = 0.808608f;	val_dir[13155*3 + 2] = -0.142695f;
 	val_dir[13156*3 + 0] = 0.578741f;	val_dir[13156*3 + 1] = 0.810237f;	val_dir[13156*3 + 2] = -0.092599f;
 	val_dir[13157*3 + 0] = 0.584898f;	val_dir[13157*3 + 1] = 0.809858f;	val_dir[13157*3 + 2] = -0.044992f;
 	val_dir[13158*3 + 0] = 0.589469f;	val_dir[13158*3 + 1] = 0.807791f;	val_dir[13158*3 + 2] = 0.0f;
 	val_dir[13159*3 + 0] = -0.817992f;	val_dir[13159*3 + 1] = -0.574805f;	val_dir[13159*3 + 2] = -0.022108f;
 	val_dir[13160*3 + 0] = -0.819453f;	val_dir[13160*3 + 1] = -0.569064f;	val_dir[13160*3 + 2] = -0.068288f;
 	val_dir[13161*3 + 0] = -0.819064f;	val_dir[13161*3 + 1] = -0.561644f;	val_dir[13161*3 + 2] = -0.117009f;
 	val_dir[13162*3 + 0] = -0.816497f;	val_dir[13162*3 + 1] = -0.552336f;	val_dir[13162*3 + 2] = -0.168102f;
 	val_dir[13163*3 + 0] = -0.811421f;	val_dir[13163*3 + 1] = -0.540947f;	val_dir[13163*3 + 2] = -0.221297f;
 	val_dir[13164*3 + 0] = -0.803523f;	val_dir[13164*3 + 1] = -0.527312f;	val_dir[13164*3 + 2] = -0.276211f;
 	val_dir[13165*3 + 0] = -0.792530f;	val_dir[13165*3 + 1] = -0.511310f;	val_dir[13165*3 + 2] = -0.332352f;
 	val_dir[13166*3 + 0] = -0.778237f;	val_dir[13166*3 + 1] = -0.492883f;	val_dir[13166*3 + 2] = -0.389118f;
 	val_dir[13167*3 + 0] = -0.760529f;	val_dir[13167*3 + 1] = -0.472053f;	val_dir[13167*3 + 2] = -0.445827f;
 	val_dir[13168*3 + 0] = -0.739407f;	val_dir[13168*3 + 1] = -0.448926f;	val_dir[13168*3 + 2] = -0.501740f;
 	val_dir[13169*3 + 0] = -0.714997f;	val_dir[13169*3 + 1] = -0.423702f;	val_dir[13169*3 + 2] = -0.556108f;
 	val_dir[13170*3 + 0] = -0.687552f;	val_dir[13170*3 + 1] = -0.396664f;	val_dir[13170*3 + 2] = -0.608219f;
 	val_dir[13171*3 + 0] = -0.657440f;	val_dir[13171*3 + 1] = -0.368166f;	val_dir[13171*3 + 2] = -0.657440f;
 	val_dir[13172*3 + 0] = -0.625119f;	val_dir[13172*3 + 1] = -0.338606f;	val_dir[13172*3 + 2] = -0.703259f;
 	val_dir[13173*3 + 0] = -0.591105f;	val_dir[13173*3 + 1] = -0.308403f;	val_dir[13173*3 + 2] = -0.745307f;
 	val_dir[13174*3 + 0] = -0.555939f;	val_dir[13174*3 + 1] = -0.277969f;	val_dir[13174*3 + 2] = -0.783368f;
 	val_dir[13175*3 + 0] = -0.520146f;	val_dir[13175*3 + 1] = -0.247689f;	val_dir[13175*3 + 2] = -0.817373f;
 	val_dir[13176*3 + 0] = -0.484217f;	val_dir[13176*3 + 1] = -0.217898f;	val_dir[13176*3 + 2] = -0.847381f;
 	val_dir[13177*3 + 0] = -0.448583f;	val_dir[13177*3 + 1] = -0.188877f;	val_dir[13177*3 + 2] = -0.873555f;
 	val_dir[13178*3 + 0] = -0.413602f;	val_dir[13178*3 + 1] = -0.160845f;	val_dir[13178*3 + 2] = -0.896137f;
 	val_dir[13179*3 + 0] = -0.379563f;	val_dir[13179*3 + 1] = -0.133963f;	val_dir[13179*3 + 2] = -0.915416f;
 	val_dir[13180*3 + 0] = -0.346681f;	val_dir[13180*3 + 1] = -0.108338f;	val_dir[13180*3 + 2] = -0.931705f;
 	val_dir[13181*3 + 0] = -0.315109f;	val_dir[13181*3 + 1] = -0.084029f;	val_dir[13181*3 + 2] = -0.945328f;
 	val_dir[13182*3 + 0] = -0.284944f;	val_dir[13182*3 + 1] = -0.061059f;	val_dir[13182*3 + 2] = -0.956597f;
 	val_dir[13183*3 + 0] = -0.256235f;	val_dir[13183*3 + 1] = -0.039421f;	val_dir[13183*3 + 2] = -0.965810f;
 	val_dir[13184*3 + 0] = -0.228998f;	val_dir[13184*3 + 1] = -0.019083f;	val_dir[13184*3 + 2] = -0.973240f;
 	val_dir[13185*3 + 0] = -0.203216f;	val_dir[13185*3 + 1] = 0.0f;	val_dir[13185*3 + 2] = -0.979134f;
 	val_dir[13186*3 + 0] = -0.185376f;	val_dir[13186*3 + 1] = 0.018538f;	val_dir[13186*3 + 2] = -0.982493f;
 	val_dir[13187*3 + 0] = -0.167299f;	val_dir[13187*3 + 1] = 0.037178f;	val_dir[13187*3 + 2] = -0.985205f;
 	val_dir[13188*3 + 0] = -0.149019f;	val_dir[13188*3 + 1] = 0.055882f;	val_dir[13188*3 + 2] = -0.987254f;
 	val_dir[13189*3 + 0] = -0.130573f;	val_dir[13189*3 + 1] = 0.074613f;	val_dir[13189*3 + 2] = -0.988627f;
 	val_dir[13190*3 + 0] = -0.111998f;	val_dir[13190*3 + 1] = 0.093332f;	val_dir[13190*3 + 2] = -0.989316f;
 	val_dir[13191*3 + 0] = -0.093332f;	val_dir[13191*3 + 1] = 0.111998f;	val_dir[13191*3 + 2] = -0.989316f;
 	val_dir[13192*3 + 0] = -0.074613f;	val_dir[13192*3 + 1] = 0.130573f;	val_dir[13192*3 + 2] = -0.988627f;
 	val_dir[13193*3 + 0] = -0.055882f;	val_dir[13193*3 + 1] = 0.149019f;	val_dir[13193*3 + 2] = -0.987254f;
 	val_dir[13194*3 + 0] = -0.037178f;	val_dir[13194*3 + 1] = 0.167299f;	val_dir[13194*3 + 2] = -0.985205f;
 	val_dir[13195*3 + 0] = -0.018538f;	val_dir[13195*3 + 1] = 0.185376f;	val_dir[13195*3 + 2] = -0.982493f;
 	val_dir[13196*3 + 0] = 0.0f;	val_dir[13196*3 + 1] = 0.203216f;	val_dir[13196*3 + 2] = -0.979134f;
 	val_dir[13197*3 + 0] = 0.019083f;	val_dir[13197*3 + 1] = 0.228998f;	val_dir[13197*3 + 2] = -0.973240f;
 	val_dir[13198*3 + 0] = 0.039421f;	val_dir[13198*3 + 1] = 0.256235f;	val_dir[13198*3 + 2] = -0.965810f;
 	val_dir[13199*3 + 0] = 0.061059f;	val_dir[13199*3 + 1] = 0.284944f;	val_dir[13199*3 + 2] = -0.956597f;
 	val_dir[13200*3 + 0] = 0.084029f;	val_dir[13200*3 + 1] = 0.315109f;	val_dir[13200*3 + 2] = -0.945328f;
 	val_dir[13201*3 + 0] = 0.108338f;	val_dir[13201*3 + 1] = 0.346681f;	val_dir[13201*3 + 2] = -0.931705f;
 	val_dir[13202*3 + 0] = 0.133963f;	val_dir[13202*3 + 1] = 0.379563f;	val_dir[13202*3 + 2] = -0.915416f;
 	val_dir[13203*3 + 0] = 0.160845f;	val_dir[13203*3 + 1] = 0.413602f;	val_dir[13203*3 + 2] = -0.896137f;
 	val_dir[13204*3 + 0] = 0.188877f;	val_dir[13204*3 + 1] = 0.448583f;	val_dir[13204*3 + 2] = -0.873555f;
 	val_dir[13205*3 + 0] = 0.217898f;	val_dir[13205*3 + 1] = 0.484217f;	val_dir[13205*3 + 2] = -0.847381f;
 	val_dir[13206*3 + 0] = 0.247689f;	val_dir[13206*3 + 1] = 0.520146f;	val_dir[13206*3 + 2] = -0.817373f;
 	val_dir[13207*3 + 0] = 0.277969f;	val_dir[13207*3 + 1] = 0.555939f;	val_dir[13207*3 + 2] = -0.783368f;
 	val_dir[13208*3 + 0] = 0.308403f;	val_dir[13208*3 + 1] = 0.591105f;	val_dir[13208*3 + 2] = -0.745307f;
 	val_dir[13209*3 + 0] = 0.338606f;	val_dir[13209*3 + 1] = 0.625119f;	val_dir[13209*3 + 2] = -0.703259f;
 	val_dir[13210*3 + 0] = 0.368166f;	val_dir[13210*3 + 1] = 0.657440f;	val_dir[13210*3 + 2] = -0.657440f;
 	val_dir[13211*3 + 0] = 0.396664f;	val_dir[13211*3 + 1] = 0.687552f;	val_dir[13211*3 + 2] = -0.608219f;
 	val_dir[13212*3 + 0] = 0.423702f;	val_dir[13212*3 + 1] = 0.714997f;	val_dir[13212*3 + 2] = -0.556108f;
 	val_dir[13213*3 + 0] = 0.448926f;	val_dir[13213*3 + 1] = 0.739407f;	val_dir[13213*3 + 2] = -0.501740f;
 	val_dir[13214*3 + 0] = 0.472053f;	val_dir[13214*3 + 1] = 0.760529f;	val_dir[13214*3 + 2] = -0.445827f;
 	val_dir[13215*3 + 0] = 0.492883f;	val_dir[13215*3 + 1] = 0.778237f;	val_dir[13215*3 + 2] = -0.389118f;
 	val_dir[13216*3 + 0] = 0.511310f;	val_dir[13216*3 + 1] = 0.792530f;	val_dir[13216*3 + 2] = -0.332352f;
 	val_dir[13217*3 + 0] = 0.527312f;	val_dir[13217*3 + 1] = 0.803523f;	val_dir[13217*3 + 2] = -0.276211f;
 	val_dir[13218*3 + 0] = 0.540947f;	val_dir[13218*3 + 1] = 0.811421f;	val_dir[13218*3 + 2] = -0.221297f;
 	val_dir[13219*3 + 0] = 0.552336f;	val_dir[13219*3 + 1] = 0.816497f;	val_dir[13219*3 + 2] = -0.168102f;
 	val_dir[13220*3 + 0] = 0.561644f;	val_dir[13220*3 + 1] = 0.819064f;	val_dir[13220*3 + 2] = -0.117009f;
 	val_dir[13221*3 + 0] = 0.569064f;	val_dir[13221*3 + 1] = 0.819453f;	val_dir[13221*3 + 2] = -0.068288f;
 	val_dir[13222*3 + 0] = 0.574805f;	val_dir[13222*3 + 1] = 0.817992f;	val_dir[13222*3 + 2] = -0.022108f;
 	val_dir[13223*3 + 0] = -0.825307f;	val_dir[13223*3 + 1] = -0.564684f;	val_dir[13223*3 + 2] = 0.0f;
 	val_dir[13224*3 + 0] = -0.827759f;	val_dir[13224*3 + 1] = -0.559297f;	val_dir[13224*3 + 2] = -0.044744f;
 	val_dir[13225*3 + 0] = -0.828517f;	val_dir[13225*3 + 1] = -0.552345f;	val_dir[13225*3 + 2] = -0.092057f;
 	val_dir[13226*3 + 0] = -0.827259f;	val_dir[13226*3 + 1] = -0.543627f;	val_dir[13226*3 + 2] = -0.141816f;
 	val_dir[13227*3 + 0] = -0.823653f;	val_dir[13227*3 + 1] = -0.532952f;	val_dir[13227*3 + 2] = -0.193801f;
 	val_dir[13228*3 + 0] = -0.817373f;	val_dir[13228*3 + 1] = -0.520146f;	val_dir[13228*3 + 2] = -0.247689f;
 	val_dir[13229*3 + 0] = -0.808122f;	val_dir[13229*3 + 1] = -0.505076f;	val_dir[13229*3 + 2] = -0.303046f;
 	val_dir[13230*3 + 0] = -0.795657f;	val_dir[13230*3 + 1] = -0.487661f;	val_dir[13230*3 + 2] = -0.359329f;
 	val_dir[13231*3 + 0] = -0.779813f;	val_dir[13231*3 + 1] = -0.467888f;	val_dir[13231*3 + 2] = -0.41590f;
 	val_dir[13232*3 + 0] = -0.760529f;	val_dir[13232*3 + 1] = -0.445827f;	val_dir[13232*3 + 2] = -0.472053f;
 	val_dir[13233*3 + 0] = -0.737865f;	val_dir[13233*3 + 1] = -0.421637f;	val_dir[13233*3 + 2] = -0.527046f;
 	val_dir[13234*3 + 0] = -0.712007f;	val_dir[13234*3 + 1] = -0.395559f;	val_dir[13234*3 + 2] = -0.580154f;
 	val_dir[13235*3 + 0] = -0.683265f;	val_dir[13235*3 + 1] = -0.367912f;	val_dir[13235*3 + 2] = -0.630706f;
 	val_dir[13236*3 + 0] = -0.652051f;	val_dir[13236*3 + 1] = -0.339066f;	val_dir[13236*3 + 2] = -0.678133f;
 	val_dir[13237*3 + 0] = -0.618853f;	val_dir[13237*3 + 1] = -0.309426f;	val_dir[13237*3 + 2] = -0.721995f;
 	val_dir[13238*3 + 0] = -0.584201f;	val_dir[13238*3 + 1] = -0.27940f;	val_dir[13238*3 + 2] = -0.762001f;
 	val_dir[13239*3 + 0] = -0.548630f;	val_dir[13239*3 + 1] = -0.249377f;	val_dir[13239*3 + 2] = -0.798007f;
 	val_dir[13240*3 + 0] = -0.512653f;	val_dir[13240*3 + 1] = -0.219708f;	val_dir[13240*3 + 2] = -0.830009f;
 	val_dir[13241*3 + 0] = -0.476731f;	val_dir[13241*3 + 1] = -0.190693f;	val_dir[13241*3 + 2] = -0.858116f;
 	val_dir[13242*3 + 0] = -0.441264f;	val_dir[13242*3 + 1] = -0.162571f;	val_dir[13242*3 + 2] = -0.882528f;
 	val_dir[13243*3 + 0] = -0.406579f;	val_dir[13243*3 + 1] = -0.135526f;	val_dir[13243*3 + 2] = -0.903508f;
 	val_dir[13244*3 + 0] = -0.372929f;	val_dir[13244*3 + 1] = -0.109685f;	val_dir[13244*3 + 2] = -0.921354f;
 	val_dir[13245*3 + 0] = -0.340503f;	val_dir[13245*3 + 1] = -0.085126f;	val_dir[13245*3 + 2] = -0.936382f;
 	val_dir[13246*3 + 0] = -0.309426f;	val_dir[13246*3 + 1] = -0.061885f;	val_dir[13246*3 + 2] = -0.948908f;
 	val_dir[13247*3 + 0] = -0.279776f;	val_dir[13247*3 + 1] = -0.039968f;	val_dir[13247*3 + 2] = -0.959233f;
 	val_dir[13248*3 + 0] = -0.251587f;	val_dir[13248*3 + 1] = -0.019353f;	val_dir[13248*3 + 2] = -0.967641f;
 	val_dir[13249*3 + 0] = -0.224860f;	val_dir[13249*3 + 1] = 0.0f;	val_dir[13249*3 + 2] = -0.974391f;
 	val_dir[13250*3 + 0] = -0.206922f;	val_dir[13250*3 + 1] = 0.018811f;	val_dir[13250*3 + 2] = -0.978177f;
 	val_dir[13251*3 + 0] = -0.188713f;	val_dir[13251*3 + 1] = 0.037743f;	val_dir[13251*3 + 2] = -0.981307f;
 	val_dir[13252*3 + 0] = -0.170267f;	val_dir[13252*3 + 1] = 0.056756f;	val_dir[13252*3 + 2] = -0.983762f;
 	val_dir[13253*3 + 0] = -0.151620f;	val_dir[13253*3 + 1] = 0.075810f;	val_dir[13253*3 + 2] = -0.985527f;
 	val_dir[13254*3 + 0] = -0.132810f;	val_dir[13254*3 + 1] = 0.094865f;	val_dir[13254*3 + 2] = -0.986591f;
 	val_dir[13255*3 + 0] = -0.113878f;	val_dir[13255*3 + 1] = 0.113878f;	val_dir[13255*3 + 2] = -0.986947f;
 	val_dir[13256*3 + 0] = -0.094865f;	val_dir[13256*3 + 1] = 0.132810f;	val_dir[13256*3 + 2] = -0.986591f;
 	val_dir[13257*3 + 0] = -0.075810f;	val_dir[13257*3 + 1] = 0.151620f;	val_dir[13257*3 + 2] = -0.985527f;
 	val_dir[13258*3 + 0] = -0.056756f;	val_dir[13258*3 + 1] = 0.170267f;	val_dir[13258*3 + 2] = -0.983762f;
 	val_dir[13259*3 + 0] = -0.037743f;	val_dir[13259*3 + 1] = 0.188713f;	val_dir[13259*3 + 2] = -0.981307f;
 	val_dir[13260*3 + 0] = -0.018811f;	val_dir[13260*3 + 1] = 0.206922f;	val_dir[13260*3 + 2] = -0.978177f;
 	val_dir[13261*3 + 0] = 0.0f;	val_dir[13261*3 + 1] = 0.224860f;	val_dir[13261*3 + 2] = -0.974391f;
 	val_dir[13262*3 + 0] = 0.019353f;	val_dir[13262*3 + 1] = 0.251587f;	val_dir[13262*3 + 2] = -0.967641f;
 	val_dir[13263*3 + 0] = 0.039968f;	val_dir[13263*3 + 1] = 0.279776f;	val_dir[13263*3 + 2] = -0.959233f;
 	val_dir[13264*3 + 0] = 0.061885f;	val_dir[13264*3 + 1] = 0.309426f;	val_dir[13264*3 + 2] = -0.948908f;
 	val_dir[13265*3 + 0] = 0.085126f;	val_dir[13265*3 + 1] = 0.340503f;	val_dir[13265*3 + 2] = -0.936382f;
 	val_dir[13266*3 + 0] = 0.109685f;	val_dir[13266*3 + 1] = 0.372929f;	val_dir[13266*3 + 2] = -0.921354f;
 	val_dir[13267*3 + 0] = 0.135526f;	val_dir[13267*3 + 1] = 0.406579f;	val_dir[13267*3 + 2] = -0.903508f;
 	val_dir[13268*3 + 0] = 0.162571f;	val_dir[13268*3 + 1] = 0.441264f;	val_dir[13268*3 + 2] = -0.882528f;
 	val_dir[13269*3 + 0] = 0.190693f;	val_dir[13269*3 + 1] = 0.476731f;	val_dir[13269*3 + 2] = -0.858116f;
 	val_dir[13270*3 + 0] = 0.219708f;	val_dir[13270*3 + 1] = 0.512653f;	val_dir[13270*3 + 2] = -0.830009f;
 	val_dir[13271*3 + 0] = 0.249377f;	val_dir[13271*3 + 1] = 0.548630f;	val_dir[13271*3 + 2] = -0.798007f;
 	val_dir[13272*3 + 0] = 0.27940f;	val_dir[13272*3 + 1] = 0.584201f;	val_dir[13272*3 + 2] = -0.762001f;
 	val_dir[13273*3 + 0] = 0.309426f;	val_dir[13273*3 + 1] = 0.618853f;	val_dir[13273*3 + 2] = -0.721995f;
 	val_dir[13274*3 + 0] = 0.339066f;	val_dir[13274*3 + 1] = 0.652051f;	val_dir[13274*3 + 2] = -0.678133f;
 	val_dir[13275*3 + 0] = 0.367912f;	val_dir[13275*3 + 1] = 0.683265f;	val_dir[13275*3 + 2] = -0.630706f;
 	val_dir[13276*3 + 0] = 0.395559f;	val_dir[13276*3 + 1] = 0.712007f;	val_dir[13276*3 + 2] = -0.580154f;
 	val_dir[13277*3 + 0] = 0.421637f;	val_dir[13277*3 + 1] = 0.737865f;	val_dir[13277*3 + 2] = -0.527046f;
 	val_dir[13278*3 + 0] = 0.445827f;	val_dir[13278*3 + 1] = 0.760529f;	val_dir[13278*3 + 2] = -0.472053f;
 	val_dir[13279*3 + 0] = 0.467888f;	val_dir[13279*3 + 1] = 0.779813f;	val_dir[13279*3 + 2] = -0.41590f;
 	val_dir[13280*3 + 0] = 0.487661f;	val_dir[13280*3 + 1] = 0.795657f;	val_dir[13280*3 + 2] = -0.359329f;
 	val_dir[13281*3 + 0] = 0.505076f;	val_dir[13281*3 + 1] = 0.808122f;	val_dir[13281*3 + 2] = -0.303046f;
 	val_dir[13282*3 + 0] = 0.520146f;	val_dir[13282*3 + 1] = 0.817373f;	val_dir[13282*3 + 2] = -0.247689f;
 	val_dir[13283*3 + 0] = 0.532952f;	val_dir[13283*3 + 1] = 0.823653f;	val_dir[13283*3 + 2] = -0.193801f;
 	val_dir[13284*3 + 0] = 0.543627f;	val_dir[13284*3 + 1] = 0.827259f;	val_dir[13284*3 + 2] = -0.141816f;
 	val_dir[13285*3 + 0] = 0.552345f;	val_dir[13285*3 + 1] = 0.828517f;	val_dir[13285*3 + 2] = -0.092057f;
 	val_dir[13286*3 + 0] = 0.559297f;	val_dir[13286*3 + 1] = 0.827759f;	val_dir[13286*3 + 2] = -0.044744f;
 	val_dir[13287*3 + 0] = 0.564684f;	val_dir[13287*3 + 1] = 0.825307f;	val_dir[13287*3 + 2] = 0.0f;
 	val_dir[13288*3 + 0] = -0.835215f;	val_dir[13288*3 + 1] = -0.549484f;	val_dir[13288*3 + 2] = -0.021979f;
 	val_dir[13289*3 + 0] = -0.837027f;	val_dir[13289*3 + 1] = -0.542936f;	val_dir[13289*3 + 2] = -0.067867f;
 	val_dir[13290*3 + 0] = -0.836983f;	val_dir[13290*3 + 1] = -0.534739f;	val_dir[13290*3 + 2] = -0.116248f;
 	val_dir[13291*3 + 0] = -0.834754f;	val_dir[13291*3 + 1] = -0.524703f;	val_dir[13291*3 + 2] = -0.166951f;
 	val_dir[13292*3 + 0] = -0.830009f;	val_dir[13292*3 + 1] = -0.512653f;	val_dir[13292*3 + 2] = -0.219708f;
 	val_dir[13293*3 + 0] = -0.822434f;	val_dir[13293*3 + 1] = -0.498445f;	val_dir[13293*3 + 2] = -0.274145f;
 	val_dir[13294*3 + 0] = -0.811754f;	val_dir[13294*3 + 1] = -0.481979f;	val_dir[13294*3 + 2] = -0.329775f;
 	val_dir[13295*3 + 0] = -0.797762f;	val_dir[13295*3 + 1] = -0.463217f;	val_dir[13295*3 + 2] = -0.386014f;
 	val_dir[13296*3 + 0] = -0.780340f;	val_dir[13296*3 + 1] = -0.442193f;	val_dir[13296*3 + 2] = -0.442193f;
 	val_dir[13297*3 + 0] = -0.759485f;	val_dir[13297*3 + 1] = -0.419026f;	val_dir[13297*3 + 2] = -0.497594f;
 	val_dir[13298*3 + 0] = -0.735316f;	val_dir[13298*3 + 1] = -0.393919f;	val_dir[13298*3 + 2] = -0.551487f;
 	val_dir[13299*3 + 0] = -0.708079f;	val_dir[13299*3 + 1] = -0.367152f;	val_dir[13299*3 + 2] = -0.603178f;
 	val_dir[13300*3 + 0] = -0.678133f;	val_dir[13300*3 + 1] = -0.339066f;	val_dir[13300*3 + 2] = -0.652051f;
 	val_dir[13301*3 + 0] = -0.645928f;	val_dir[13301*3 + 1] = -0.310045f;	val_dir[13301*3 + 2] = -0.697602f;
 	val_dir[13302*3 + 0] = -0.611974f;	val_dir[13302*3 + 1] = -0.280488f;	val_dir[13302*3 + 2] = -0.739469f;
 	val_dir[13303*3 + 0] = -0.576805f;	val_dir[13303*3 + 1] = -0.250785f;	val_dir[13303*3 + 2] = -0.777433f;
 	val_dir[13304*3 + 0] = -0.540947f;	val_dir[13304*3 + 1] = -0.221297f;	val_dir[13304*3 + 2] = -0.811421f;
 	val_dir[13305*3 + 0] = -0.504889f;	val_dir[13305*3 + 1] = -0.192339f;	val_dir[13305*3 + 2] = -0.841482f;
 	val_dir[13306*3 + 0] = -0.469065f;	val_dir[13306*3 + 1] = -0.164173f;	val_dir[13306*3 + 2] = -0.867770f;
 	val_dir[13307*3 + 0] = -0.433840f;	val_dir[13307*3 + 1] = -0.137002f;	val_dir[13307*3 + 2] = -0.890513f;
 	val_dir[13308*3 + 0] = -0.399507f;	val_dir[13308*3 + 1] = -0.110974f;	val_dir[13308*3 + 2] = -0.909988f;
 	val_dir[13309*3 + 0] = -0.366291f;	val_dir[13309*3 + 1] = -0.086186f;	val_dir[13309*3 + 2] = -0.92650f;
 	val_dir[13310*3 + 0] = -0.334351f;	val_dir[13310*3 + 1] = -0.062691f;	val_dir[13310*3 + 2] = -0.940361f;
 	val_dir[13311*3 + 0] = -0.303791f;	val_dir[13311*3 + 1] = -0.040505f;	val_dir[13311*3 + 2] = -0.951877f;
 	val_dir[13312*3 + 0] = -0.274668f;	val_dir[13312*3 + 1] = -0.019619f;	val_dir[13312*3 + 2] = -0.961339f;
 	val_dir[13313*3 + 0] = -0.247004f;	val_dir[13313*3 + 1] = 0.0f;	val_dir[13313*3 + 2] = -0.969015f;
 	val_dir[13314*3 + 0] = -0.228998f;	val_dir[13314*3 + 1] = 0.019083f;	val_dir[13314*3 + 2] = -0.973240f;
 	val_dir[13315*3 + 0] = -0.210683f;	val_dir[13315*3 + 1] = 0.038306f;	val_dir[13315*3 + 2] = -0.976804f;
 	val_dir[13316*3 + 0] = -0.192095f;	val_dir[13316*3 + 1] = 0.057628f;	val_dir[13316*3 + 2] = -0.979683f;
 	val_dir[13317*3 + 0] = -0.173269f;	val_dir[13317*3 + 1] = 0.077009f;	val_dir[13317*3 + 2] = -0.981859f;
 	val_dir[13318*3 + 0] = -0.154246f;	val_dir[13318*3 + 1] = 0.096404f;	val_dir[13318*3 + 2] = -0.983318f;
 	val_dir[13319*3 + 0] = -0.135066f;	val_dir[13319*3 + 1] = 0.115771f;	val_dir[13319*3 + 2] = -0.984050f;
 	val_dir[13320*3 + 0] = -0.115771f;	val_dir[13320*3 + 1] = 0.135066f;	val_dir[13320*3 + 2] = -0.984050f;
 	val_dir[13321*3 + 0] = -0.096404f;	val_dir[13321*3 + 1] = 0.154246f;	val_dir[13321*3 + 2] = -0.983318f;
 	val_dir[13322*3 + 0] = -0.077009f;	val_dir[13322*3 + 1] = 0.173269f;	val_dir[13322*3 + 2] = -0.981859f;
 	val_dir[13323*3 + 0] = -0.057628f;	val_dir[13323*3 + 1] = 0.192095f;	val_dir[13323*3 + 2] = -0.979683f;
 	val_dir[13324*3 + 0] = -0.038306f;	val_dir[13324*3 + 1] = 0.210683f;	val_dir[13324*3 + 2] = -0.976804f;
 	val_dir[13325*3 + 0] = -0.019083f;	val_dir[13325*3 + 1] = 0.228998f;	val_dir[13325*3 + 2] = -0.973240f;
 	val_dir[13326*3 + 0] = 0.0f;	val_dir[13326*3 + 1] = 0.247004f;	val_dir[13326*3 + 2] = -0.969015f;
 	val_dir[13327*3 + 0] = 0.019619f;	val_dir[13327*3 + 1] = 0.274668f;	val_dir[13327*3 + 2] = -0.961339f;
 	val_dir[13328*3 + 0] = 0.040505f;	val_dir[13328*3 + 1] = 0.303791f;	val_dir[13328*3 + 2] = -0.951877f;
 	val_dir[13329*3 + 0] = 0.062691f;	val_dir[13329*3 + 1] = 0.334351f;	val_dir[13329*3 + 2] = -0.940361f;
 	val_dir[13330*3 + 0] = 0.086186f;	val_dir[13330*3 + 1] = 0.366291f;	val_dir[13330*3 + 2] = -0.92650f;
 	val_dir[13331*3 + 0] = 0.110974f;	val_dir[13331*3 + 1] = 0.399507f;	val_dir[13331*3 + 2] = -0.909988f;
 	val_dir[13332*3 + 0] = 0.137002f;	val_dir[13332*3 + 1] = 0.433840f;	val_dir[13332*3 + 2] = -0.890513f;
 	val_dir[13333*3 + 0] = 0.164173f;	val_dir[13333*3 + 1] = 0.469065f;	val_dir[13333*3 + 2] = -0.867770f;
 	val_dir[13334*3 + 0] = 0.192339f;	val_dir[13334*3 + 1] = 0.504889f;	val_dir[13334*3 + 2] = -0.841482f;
 	val_dir[13335*3 + 0] = 0.221297f;	val_dir[13335*3 + 1] = 0.540947f;	val_dir[13335*3 + 2] = -0.811421f;
 	val_dir[13336*3 + 0] = 0.250785f;	val_dir[13336*3 + 1] = 0.576805f;	val_dir[13336*3 + 2] = -0.777433f;
 	val_dir[13337*3 + 0] = 0.280488f;	val_dir[13337*3 + 1] = 0.611974f;	val_dir[13337*3 + 2] = -0.739469f;
 	val_dir[13338*3 + 0] = 0.310045f;	val_dir[13338*3 + 1] = 0.645928f;	val_dir[13338*3 + 2] = -0.697602f;
 	val_dir[13339*3 + 0] = 0.339066f;	val_dir[13339*3 + 1] = 0.678133f;	val_dir[13339*3 + 2] = -0.652051f;
 	val_dir[13340*3 + 0] = 0.367152f;	val_dir[13340*3 + 1] = 0.708079f;	val_dir[13340*3 + 2] = -0.603178f;
 	val_dir[13341*3 + 0] = 0.393919f;	val_dir[13341*3 + 1] = 0.735316f;	val_dir[13341*3 + 2] = -0.551487f;
 	val_dir[13342*3 + 0] = 0.419026f;	val_dir[13342*3 + 1] = 0.759485f;	val_dir[13342*3 + 2] = -0.497594f;
 	val_dir[13343*3 + 0] = 0.442193f;	val_dir[13343*3 + 1] = 0.780340f;	val_dir[13343*3 + 2] = -0.442193f;
 	val_dir[13344*3 + 0] = 0.463217f;	val_dir[13344*3 + 1] = 0.797762f;	val_dir[13344*3 + 2] = -0.386014f;
 	val_dir[13345*3 + 0] = 0.481979f;	val_dir[13345*3 + 1] = 0.811754f;	val_dir[13345*3 + 2] = -0.329775f;
 	val_dir[13346*3 + 0] = 0.498445f;	val_dir[13346*3 + 1] = 0.822434f;	val_dir[13346*3 + 2] = -0.274145f;
 	val_dir[13347*3 + 0] = 0.512653f;	val_dir[13347*3 + 1] = 0.830009f;	val_dir[13347*3 + 2] = -0.219708f;
 	val_dir[13348*3 + 0] = 0.524703f;	val_dir[13348*3 + 1] = 0.834754f;	val_dir[13348*3 + 2] = -0.166951f;
 	val_dir[13349*3 + 0] = 0.534739f;	val_dir[13349*3 + 1] = 0.836983f;	val_dir[13349*3 + 2] = -0.116248f;
 	val_dir[13350*3 + 0] = 0.542936f;	val_dir[13350*3 + 1] = 0.837027f;	val_dir[13350*3 + 2] = -0.067867f;
 	val_dir[13351*3 + 0] = 0.549484f;	val_dir[13351*3 + 1] = 0.835215f;	val_dir[13351*3 + 2] = -0.021979f;
 	val_dir[13352*3 + 0] = -0.841879f;	val_dir[13352*3 + 1] = -0.539666f;	val_dir[13352*3 + 2] = 0.0f;
 	val_dir[13353*3 + 0] = -0.844653f;	val_dir[13353*3 + 1] = -0.533465f;	val_dir[13353*3 + 2] = -0.044455f;
 	val_dir[13354*3 + 0] = -0.845728f;	val_dir[13354*3 + 1] = -0.525723f;	val_dir[13354*3 + 2] = -0.091430f;
 	val_dir[13355*3 + 0] = -0.844782f;	val_dir[13355*3 + 1] = -0.516256f;	val_dir[13355*3 + 2] = -0.140797f;
 	val_dir[13356*3 + 0] = -0.841482f;	val_dir[13356*3 + 1] = -0.504889f;	val_dir[13356*3 + 2] = -0.192339f;
 	val_dir[13357*3 + 0] = -0.835504f;	val_dir[13357*3 + 1] = -0.491473f;	val_dir[13357*3 + 2] = -0.245737f;
 	val_dir[13358*3 + 0] = -0.826551f;	val_dir[13358*3 + 1] = -0.475893f;	val_dir[13358*3 + 2] = -0.300564f;
 	val_dir[13359*3 + 0] = -0.814379f;	val_dir[13359*3 + 1] = -0.458088f;	val_dir[13359*3 + 2] = -0.356291f;
 	val_dir[13360*3 + 0] = -0.798820f;	val_dir[13360*3 + 1] = -0.438063f;	val_dir[13360*3 + 2] = -0.412294f;
 	val_dir[13361*3 + 0] = -0.779813f;	val_dir[13361*3 + 1] = -0.41590f;	val_dir[13361*3 + 2] = -0.467888f;
 	val_dir[13362*3 + 0] = -0.757410f;	val_dir[13362*3 + 1] = -0.391764f;	val_dir[13362*3 + 2] = -0.522352f;
 	val_dir[13363*3 + 0] = -0.731792f;	val_dir[13363*3 + 1] = -0.365896f;	val_dir[13363*3 + 2] = -0.574979f;
 	val_dir[13364*3 + 0] = -0.703259f;	val_dir[13364*3 + 1] = -0.338606f;	val_dir[13364*3 + 2] = -0.625119f;
 	val_dir[13365*3 + 0] = -0.672214f;	val_dir[13365*3 + 1] = -0.310253f;	val_dir[13365*3 + 2] = -0.672214f;
 	val_dir[13366*3 + 0] = -0.639138f;	val_dir[13366*3 + 1] = -0.281220f;	val_dir[13366*3 + 2] = -0.715834f;
 	val_dir[13367*3 + 0] = -0.604551f;	val_dir[13367*3 + 1] = -0.251896f;	val_dir[13367*3 + 2] = -0.755689f;
 	val_dir[13368*3 + 0] = -0.568986f;	val_dir[13368*3 + 1] = -0.222647f;	val_dir[13368*3 + 2] = -0.791633f;
 	val_dir[13369*3 + 0] = -0.532952f;	val_dir[13369*3 + 1] = -0.193801f;	val_dir[13369*3 + 2] = -0.823653f;
 	val_dir[13370*3 + 0] = -0.496911f;	val_dir[13370*3 + 1] = -0.165637f;	val_dir[13370*3 + 2] = -0.851847f;
 	val_dir[13371*3 + 0] = -0.461266f;	val_dir[13371*3 + 1] = -0.138380f;	val_dir[13371*3 + 2] = -0.876405f;
 	val_dir[13372*3 + 0] = -0.426348f;	val_dir[13372*3 + 1] = -0.112197f;	val_dir[13372*3 + 2] = -0.897574f;
 	val_dir[13373*3 + 0] = -0.392419f;	val_dir[13373*3 + 1] = -0.087204f;	val_dir[13373*3 + 2] = -0.915644f;
 	val_dir[13374*3 + 0] = -0.359673f;	val_dir[13374*3 + 1] = -0.063472f;	val_dir[13374*3 + 2] = -0.930917f;
 	val_dir[13375*3 + 0] = -0.328244f;	val_dir[13375*3 + 1] = -0.041030f;	val_dir[13375*3 + 2] = -0.943701f;
 	val_dir[13376*3 + 0] = -0.298216f;	val_dir[13376*3 + 1] = -0.019881f;	val_dir[13376*3 + 2] = -0.954291f;
 	val_dir[13377*3 + 0] = -0.269630f;	val_dir[13377*3 + 1] = 0.0f;	val_dir[13377*3 + 2] = -0.962964f;
 	val_dir[13378*3 + 0] = -0.251587f;	val_dir[13378*3 + 1] = 0.019353f;	val_dir[13378*3 + 2] = -0.967641f;
 	val_dir[13379*3 + 0] = -0.233197f;	val_dir[13379*3 + 1] = 0.038866f;	val_dir[13379*3 + 2] = -0.971653f;
 	val_dir[13380*3 + 0] = -0.214494f;	val_dir[13380*3 + 1] = 0.058498f;	val_dir[13380*3 + 2] = -0.974972f;
 	val_dir[13381*3 + 0] = -0.195515f;	val_dir[13381*3 + 1] = 0.078206f;	val_dir[13381*3 + 2] = -0.977577f;
 	val_dir[13382*3 + 0] = -0.176301f;	val_dir[13382*3 + 1] = 0.097945f;	val_dir[13382*3 + 2] = -0.979451f;
 	val_dir[13383*3 + 0] = -0.156893f;	val_dir[13383*3 + 1] = 0.117670f;	val_dir[13383*3 + 2] = -0.980581f;
 	val_dir[13384*3 + 0] = -0.137334f;	val_dir[13384*3 + 1] = 0.137334f;	val_dir[13384*3 + 2] = -0.980958f;
 	val_dir[13385*3 + 0] = -0.117670f;	val_dir[13385*3 + 1] = 0.156893f;	val_dir[13385*3 + 2] = -0.980581f;
 	val_dir[13386*3 + 0] = -0.097945f;	val_dir[13386*3 + 1] = 0.176301f;	val_dir[13386*3 + 2] = -0.979451f;
 	val_dir[13387*3 + 0] = -0.078206f;	val_dir[13387*3 + 1] = 0.195515f;	val_dir[13387*3 + 2] = -0.977577f;
 	val_dir[13388*3 + 0] = -0.058498f;	val_dir[13388*3 + 1] = 0.214494f;	val_dir[13388*3 + 2] = -0.974972f;
 	val_dir[13389*3 + 0] = -0.038866f;	val_dir[13389*3 + 1] = 0.233197f;	val_dir[13389*3 + 2] = -0.971653f;
 	val_dir[13390*3 + 0] = -0.019353f;	val_dir[13390*3 + 1] = 0.251587f;	val_dir[13390*3 + 2] = -0.967641f;
 	val_dir[13391*3 + 0] = 0.0f;	val_dir[13391*3 + 1] = 0.269630f;	val_dir[13391*3 + 2] = -0.962964f;
 	val_dir[13392*3 + 0] = 0.019881f;	val_dir[13392*3 + 1] = 0.298216f;	val_dir[13392*3 + 2] = -0.954291f;
 	val_dir[13393*3 + 0] = 0.041030f;	val_dir[13393*3 + 1] = 0.328244f;	val_dir[13393*3 + 2] = -0.943701f;
 	val_dir[13394*3 + 0] = 0.063472f;	val_dir[13394*3 + 1] = 0.359673f;	val_dir[13394*3 + 2] = -0.930917f;
 	val_dir[13395*3 + 0] = 0.087204f;	val_dir[13395*3 + 1] = 0.392419f;	val_dir[13395*3 + 2] = -0.915644f;
 	val_dir[13396*3 + 0] = 0.112197f;	val_dir[13396*3 + 1] = 0.426348f;	val_dir[13396*3 + 2] = -0.897574f;
 	val_dir[13397*3 + 0] = 0.138380f;	val_dir[13397*3 + 1] = 0.461266f;	val_dir[13397*3 + 2] = -0.876405f;
 	val_dir[13398*3 + 0] = 0.165637f;	val_dir[13398*3 + 1] = 0.496911f;	val_dir[13398*3 + 2] = -0.851847f;
 	val_dir[13399*3 + 0] = 0.193801f;	val_dir[13399*3 + 1] = 0.532952f;	val_dir[13399*3 + 2] = -0.823653f;
 	val_dir[13400*3 + 0] = 0.222647f;	val_dir[13400*3 + 1] = 0.568986f;	val_dir[13400*3 + 2] = -0.791633f;
 	val_dir[13401*3 + 0] = 0.251896f;	val_dir[13401*3 + 1] = 0.604551f;	val_dir[13401*3 + 2] = -0.755689f;
 	val_dir[13402*3 + 0] = 0.281220f;	val_dir[13402*3 + 1] = 0.639138f;	val_dir[13402*3 + 2] = -0.715834f;
 	val_dir[13403*3 + 0] = 0.310253f;	val_dir[13403*3 + 1] = 0.672214f;	val_dir[13403*3 + 2] = -0.672214f;
 	val_dir[13404*3 + 0] = 0.338606f;	val_dir[13404*3 + 1] = 0.703259f;	val_dir[13404*3 + 2] = -0.625119f;
 	val_dir[13405*3 + 0] = 0.365896f;	val_dir[13405*3 + 1] = 0.731792f;	val_dir[13405*3 + 2] = -0.574979f;
 	val_dir[13406*3 + 0] = 0.391764f;	val_dir[13406*3 + 1] = 0.757410f;	val_dir[13406*3 + 2] = -0.522352f;
 	val_dir[13407*3 + 0] = 0.41590f;	val_dir[13407*3 + 1] = 0.779813f;	val_dir[13407*3 + 2] = -0.467888f;
 	val_dir[13408*3 + 0] = 0.438063f;	val_dir[13408*3 + 1] = 0.798820f;	val_dir[13408*3 + 2] = -0.412294f;
 	val_dir[13409*3 + 0] = 0.458088f;	val_dir[13409*3 + 1] = 0.814379f;	val_dir[13409*3 + 2] = -0.356291f;
 	val_dir[13410*3 + 0] = 0.475893f;	val_dir[13410*3 + 1] = 0.826551f;	val_dir[13410*3 + 2] = -0.300564f;
 	val_dir[13411*3 + 0] = 0.491473f;	val_dir[13411*3 + 1] = 0.835504f;	val_dir[13411*3 + 2] = -0.245737f;
 	val_dir[13412*3 + 0] = 0.504889f;	val_dir[13412*3 + 1] = 0.841482f;	val_dir[13412*3 + 2] = -0.192339f;
 	val_dir[13413*3 + 0] = 0.516256f;	val_dir[13413*3 + 1] = 0.844782f;	val_dir[13413*3 + 2] = -0.140797f;
 	val_dir[13414*3 + 0] = 0.525723f;	val_dir[13414*3 + 1] = 0.845728f;	val_dir[13414*3 + 2] = -0.091430f;
 	val_dir[13415*3 + 0] = 0.533465f;	val_dir[13415*3 + 1] = 0.844653f;	val_dir[13415*3 + 2] = -0.044455f;
 	val_dir[13416*3 + 0] = 0.539666f;	val_dir[13416*3 + 1] = 0.841879f;	val_dir[13416*3 + 2] = 0.0f;
 	val_dir[13417*3 + 0] = -0.851455f;	val_dir[13417*3 + 1] = -0.523973f;	val_dir[13417*3 + 2] = -0.021832f;
 	val_dir[13418*3 + 0] = -0.853556f;	val_dir[13418*3 + 1] = -0.516626f;	val_dir[13418*3 + 2] = -0.067386f;
 	val_dir[13419*3 + 0] = -0.853796f;	val_dir[13419*3 + 1] = -0.507662f;	val_dir[13419*3 + 2] = -0.115378f;
 	val_dir[13420*3 + 0] = -0.851847f;	val_dir[13420*3 + 1] = -0.496911f;	val_dir[13420*3 + 2] = -0.165637f;
 	val_dir[13421*3 + 0] = -0.847381f;	val_dir[13421*3 + 1] = -0.484217f;	val_dir[13421*3 + 2] = -0.217898f;
 	val_dir[13422*3 + 0] = -0.840083f;	val_dir[13422*3 + 1] = -0.469458f;	val_dir[13422*3 + 2] = -0.271791f;
 	val_dir[13423*3 + 0] = -0.829680f;	val_dir[13423*3 + 1] = -0.452553f;	val_dir[13423*3 + 2] = -0.326844f;
 	val_dir[13424*3 + 0] = -0.815966f;	val_dir[13424*3 + 1] = -0.433482f;	val_dir[13424*3 + 2] = -0.382484f;
 	val_dir[13425*3 + 0] = -0.798820f;	val_dir[13425*3 + 1] = -0.412294f;	val_dir[13425*3 + 2] = -0.438063f;
 	val_dir[13426*3 + 0] = -0.778237f;	val_dir[13426*3 + 1] = -0.389118f;	val_dir[13426*3 + 2] = -0.492883f;
 	val_dir[13427*3 + 0] = -0.754329f;	val_dir[13427*3 + 1] = -0.364159f;	val_dir[13427*3 + 2] = -0.546238f;
 	val_dir[13428*3 + 0] = -0.727334f;	val_dir[13428*3 + 1] = -0.337691f;	val_dir[13428*3 + 2] = -0.597453f;
 	val_dir[13429*3 + 0] = -0.697602f;	val_dir[13429*3 + 1] = -0.310045f;	val_dir[13429*3 + 2] = -0.645928f;
 	val_dir[13430*3 + 0] = -0.665574f;	val_dir[13430*3 + 1] = -0.281589f;	val_dir[13430*3 + 2] = -0.691173f;
 	val_dir[13431*3 + 0] = -0.631748f;	val_dir[13431*3 + 1] = -0.252699f;	val_dir[13431*3 + 2] = -0.732828f;
 	val_dir[13432*3 + 0] = -0.596653f;	val_dir[13432*3 + 1] = -0.223745f;	val_dir[13432*3 + 2] = -0.770677f;
 	val_dir[13433*3 + 0] = -0.560809f;	val_dir[13433*3 + 1] = -0.195064f;	val_dir[13433*3 + 2] = -0.804639f;
 	val_dir[13434*3 + 0] = -0.524703f;	val_dir[13434*3 + 1] = -0.166951f;	val_dir[13434*3 + 2] = -0.834754f;
 	val_dir[13435*3 + 0] = -0.488769f;	val_dir[13435*3 + 1] = -0.139648f;	val_dir[13435*3 + 2] = -0.861164f;
 	val_dir[13436*3 + 0] = -0.453376f;	val_dir[13436*3 + 1] = -0.113344f;	val_dir[13436*3 + 2] = -0.884083f;
 	val_dir[13437*3 + 0] = -0.418823f;	val_dir[13437*3 + 1] = -0.088173f;	val_dir[13437*3 + 2] = -0.903777f;
 	val_dir[13438*3 + 0] = -0.385341f;	val_dir[13438*3 + 1] = -0.064223f;	val_dir[13438*3 + 2] = -0.920537f;
 	val_dir[13439*3 + 0] = -0.353096f;	val_dir[13439*3 + 1] = -0.041541f;	val_dir[13439*3 + 2] = -0.934665f;
 	val_dir[13440*3 + 0] = -0.322198f;	val_dir[13440*3 + 1] = -0.020137f;	val_dir[13440*3 + 2] = -0.946458f;
 	val_dir[13441*3 + 0] = -0.292714f;	val_dir[13441*3 + 1] = 0.0f;	val_dir[13441*3 + 2] = -0.95620f;
 	val_dir[13442*3 + 0] = -0.274668f;	val_dir[13442*3 + 1] = 0.019619f;	val_dir[13442*3 + 2] = -0.961339f;
 	val_dir[13443*3 + 0] = -0.256235f;	val_dir[13443*3 + 1] = 0.039421f;	val_dir[13443*3 + 2] = -0.965810f;
 	val_dir[13444*3 + 0] = -0.237449f;	val_dir[13444*3 + 1] = 0.059362f;	val_dir[13444*3 + 2] = -0.969584f;
 	val_dir[13445*3 + 0] = -0.218347f;	val_dir[13445*3 + 1] = 0.079399f;	val_dir[13445*3 + 2] = -0.972636f;
 	val_dir[13446*3 + 0] = -0.198968f;	val_dir[13446*3 + 1] = 0.099484f;	val_dir[13446*3 + 2] = -0.974943f;
 	val_dir[13447*3 + 0] = -0.179355f;	val_dir[13447*3 + 1] = 0.119570f;	val_dir[13447*3 + 2] = -0.976491f;
 	val_dir[13448*3 + 0] = -0.159554f;	val_dir[13448*3 + 1] = 0.139610f;	val_dir[13448*3 + 2] = -0.977267f;
 	val_dir[13449*3 + 0] = -0.139610f;	val_dir[13449*3 + 1] = 0.159554f;	val_dir[13449*3 + 2] = -0.977267f;
 	val_dir[13450*3 + 0] = -0.119570f;	val_dir[13450*3 + 1] = 0.179355f;	val_dir[13450*3 + 2] = -0.976491f;
 	val_dir[13451*3 + 0] = -0.099484f;	val_dir[13451*3 + 1] = 0.198968f;	val_dir[13451*3 + 2] = -0.974943f;
 	val_dir[13452*3 + 0] = -0.079399f;	val_dir[13452*3 + 1] = 0.218347f;	val_dir[13452*3 + 2] = -0.972636f;
 	val_dir[13453*3 + 0] = -0.059362f;	val_dir[13453*3 + 1] = 0.237449f;	val_dir[13453*3 + 2] = -0.969584f;
 	val_dir[13454*3 + 0] = -0.039421f;	val_dir[13454*3 + 1] = 0.256235f;	val_dir[13454*3 + 2] = -0.965810f;
 	val_dir[13455*3 + 0] = -0.019619f;	val_dir[13455*3 + 1] = 0.274668f;	val_dir[13455*3 + 2] = -0.961339f;
 	val_dir[13456*3 + 0] = 0.0f;	val_dir[13456*3 + 1] = 0.292714f;	val_dir[13456*3 + 2] = -0.95620f;
 	val_dir[13457*3 + 0] = 0.020137f;	val_dir[13457*3 + 1] = 0.322198f;	val_dir[13457*3 + 2] = -0.946458f;
 	val_dir[13458*3 + 0] = 0.041541f;	val_dir[13458*3 + 1] = 0.353096f;	val_dir[13458*3 + 2] = -0.934665f;
 	val_dir[13459*3 + 0] = 0.064223f;	val_dir[13459*3 + 1] = 0.385341f;	val_dir[13459*3 + 2] = -0.920537f;
 	val_dir[13460*3 + 0] = 0.088173f;	val_dir[13460*3 + 1] = 0.418823f;	val_dir[13460*3 + 2] = -0.903777f;
 	val_dir[13461*3 + 0] = 0.113344f;	val_dir[13461*3 + 1] = 0.453376f;	val_dir[13461*3 + 2] = -0.884083f;
 	val_dir[13462*3 + 0] = 0.139648f;	val_dir[13462*3 + 1] = 0.488769f;	val_dir[13462*3 + 2] = -0.861164f;
 	val_dir[13463*3 + 0] = 0.166951f;	val_dir[13463*3 + 1] = 0.524703f;	val_dir[13463*3 + 2] = -0.834754f;
 	val_dir[13464*3 + 0] = 0.195064f;	val_dir[13464*3 + 1] = 0.560809f;	val_dir[13464*3 + 2] = -0.804639f;
 	val_dir[13465*3 + 0] = 0.223745f;	val_dir[13465*3 + 1] = 0.596653f;	val_dir[13465*3 + 2] = -0.770677f;
 	val_dir[13466*3 + 0] = 0.252699f;	val_dir[13466*3 + 1] = 0.631748f;	val_dir[13466*3 + 2] = -0.732828f;
 	val_dir[13467*3 + 0] = 0.281589f;	val_dir[13467*3 + 1] = 0.665574f;	val_dir[13467*3 + 2] = -0.691173f;
 	val_dir[13468*3 + 0] = 0.310045f;	val_dir[13468*3 + 1] = 0.697602f;	val_dir[13468*3 + 2] = -0.645928f;
 	val_dir[13469*3 + 0] = 0.337691f;	val_dir[13469*3 + 1] = 0.727334f;	val_dir[13469*3 + 2] = -0.597453f;
 	val_dir[13470*3 + 0] = 0.364159f;	val_dir[13470*3 + 1] = 0.754329f;	val_dir[13470*3 + 2] = -0.546238f;
 	val_dir[13471*3 + 0] = 0.389118f;	val_dir[13471*3 + 1] = 0.778237f;	val_dir[13471*3 + 2] = -0.492883f;
 	val_dir[13472*3 + 0] = 0.412294f;	val_dir[13472*3 + 1] = 0.798820f;	val_dir[13472*3 + 2] = -0.438063f;
 	val_dir[13473*3 + 0] = 0.433482f;	val_dir[13473*3 + 1] = 0.815966f;	val_dir[13473*3 + 2] = -0.382484f;
 	val_dir[13474*3 + 0] = 0.452553f;	val_dir[13474*3 + 1] = 0.829680f;	val_dir[13474*3 + 2] = -0.326844f;
 	val_dir[13475*3 + 0] = 0.469458f;	val_dir[13475*3 + 1] = 0.840083f;	val_dir[13475*3 + 2] = -0.271791f;
 	val_dir[13476*3 + 0] = 0.484217f;	val_dir[13476*3 + 1] = 0.847381f;	val_dir[13476*3 + 2] = -0.217898f;
 	val_dir[13477*3 + 0] = 0.496911f;	val_dir[13477*3 + 1] = 0.851847f;	val_dir[13477*3 + 2] = -0.165637f;
 	val_dir[13478*3 + 0] = 0.507662f;	val_dir[13478*3 + 1] = 0.853796f;	val_dir[13478*3 + 2] = -0.115378f;
 	val_dir[13479*3 + 0] = 0.516626f;	val_dir[13479*3 + 1] = 0.853556f;	val_dir[13479*3 + 2] = -0.067386f;
 	val_dir[13480*3 + 0] = 0.523973f;	val_dir[13480*3 + 1] = 0.851455f;	val_dir[13480*3 + 2] = -0.021832f;
 	val_dir[13481*3 + 0] = -0.857493f;	val_dir[13481*3 + 1] = -0.514496f;	val_dir[13481*3 + 2] = 0.0f;
 	val_dir[13482*3 + 0] = -0.860527f;	val_dir[13482*3 + 1] = -0.507490f;	val_dir[13482*3 + 2] = -0.044130f;
 	val_dir[13483*3 + 0] = -0.861857f;	val_dir[13483*3 + 1] = -0.498970f;	val_dir[13483*3 + 2] = -0.090722f;
 	val_dir[13484*3 + 0] = -0.861164f;	val_dir[13484*3 + 1] = -0.488769f;	val_dir[13484*3 + 2] = -0.139648f;
 	val_dir[13485*3 + 0] = -0.858116f;	val_dir[13485*3 + 1] = -0.476731f;	val_dir[13485*3 + 2] = -0.190693f;
 	val_dir[13486*3 + 0] = -0.852392f;	val_dir[13486*3 + 1] = -0.462727f;	val_dir[13486*3 + 2] = -0.243541f;
 	val_dir[13487*3 + 0] = -0.843696f;	val_dir[13487*3 + 1] = -0.446662f;	val_dir[13487*3 + 2] = -0.297775f;
 	val_dir[13488*3 + 0] = -0.831786f;	val_dir[13488*3 + 1] = -0.428496f;	val_dir[13488*3 + 2] = -0.352879f;
 	val_dir[13489*3 + 0] = -0.816497f;	val_dir[13489*3 + 1] = -0.408248f;	val_dir[13489*3 + 2] = -0.408248f;
 	val_dir[13490*3 + 0] = -0.797762f;	val_dir[13490*3 + 1] = -0.386014f;	val_dir[13490*3 + 2] = -0.463217f;
 	val_dir[13491*3 + 0] = -0.775632f;	val_dir[13491*3 + 1] = -0.361961f;	val_dir[13491*3 + 2] = -0.517088f;
 	val_dir[13492*3 + 0] = -0.750279f;	val_dir[13492*3 + 1] = -0.336332f;	val_dir[13492*3 + 2] = -0.569177f;
 	val_dir[13493*3 + 0] = -0.721995f;	val_dir[13493*3 + 1] = -0.309426f;	val_dir[13493*3 + 2] = -0.618853f;
 	val_dir[13494*3 + 0] = -0.691173f;	val_dir[13494*3 + 1] = -0.281589f;	val_dir[13494*3 + 2] = -0.665574f;
 	val_dir[13495*3 + 0] = -0.658281f;	val_dir[13495*3 + 1] = -0.253185f;	val_dir[13495*3 + 2] = -0.708918f;
 	val_dir[13496*3 + 0] = -0.623831f;	val_dir[13496*3 + 1] = -0.224579f;	val_dir[13496*3 + 2] = -0.748598f;
 	val_dir[13497*3 + 0] = -0.588348f;	val_dir[13497*3 + 1] = -0.196116f;	val_dir[13497*3 + 2] = -0.784465f;
 	val_dir[13498*3 + 0] = -0.552336f;	val_dir[13498*3 + 1] = -0.168102f;	val_dir[13498*3 + 2] = -0.816497f;
 	val_dir[13499*3 + 0] = -0.516256f;	val_dir[13499*3 + 1] = -0.140797f;	val_dir[13499*3 + 2] = -0.844782f;
 	val_dir[13500*3 + 0] = -0.480510f;	val_dir[13500*3 + 1] = -0.114407f;	val_dir[13500*3 + 2] = -0.869495f;
 	val_dir[13501*3 + 0] = -0.445435f;	val_dir[13501*3 + 1] = -0.089087f;	val_dir[13501*3 + 2] = -0.890871f;
 	val_dir[13502*3 + 0] = -0.411298f;	val_dir[13502*3 + 1] = -0.064942f;	val_dir[13502*3 + 2] = -0.909185f;
 	val_dir[13503*3 + 0] = -0.378298f;	val_dir[13503*3 + 1] = -0.042033f;	val_dir[13503*3 + 2] = -0.924729f;
 	val_dir[13504*3 + 0] = -0.346578f;	val_dir[13504*3 + 1] = -0.020387f;	val_dir[13504*3 + 2] = -0.93780f;
 	val_dir[13505*3 + 0] = -0.316228f;	val_dir[13505*3 + 1] = 0.0f;	val_dir[13505*3 + 2] = -0.948683f;
 	val_dir[13506*3 + 0] = -0.298216f;	val_dir[13506*3 + 1] = 0.019881f;	val_dir[13506*3 + 2] = -0.954291f;
 	val_dir[13507*3 + 0] = -0.279776f;	val_dir[13507*3 + 1] = 0.039968f;	val_dir[13507*3 + 2] = -0.959233f;
 	val_dir[13508*3 + 0] = -0.260941f;	val_dir[13508*3 + 1] = 0.060217f;	val_dir[13508*3 + 2] = -0.963475f;
 	val_dir[13509*3 + 0] = -0.241747f;	val_dir[13509*3 + 1] = 0.080582f;	val_dir[13509*3 + 2] = -0.966988f;
 	val_dir[13510*3 + 0] = -0.222234f;	val_dir[13510*3 + 1] = 0.101015f;	val_dir[13510*3 + 2] = -0.969746f;
 	val_dir[13511*3 + 0] = -0.202444f;	val_dir[13511*3 + 1] = 0.121466f;	val_dir[13511*3 + 2] = -0.971732f;
 	val_dir[13512*3 + 0] = -0.182424f;	val_dir[13512*3 + 1] = 0.141885f;	val_dir[13512*3 + 2] = -0.972929f;
 	val_dir[13513*3 + 0] = -0.162221f;	val_dir[13513*3 + 1] = 0.162221f;	val_dir[13513*3 + 2] = -0.973329f;
 	val_dir[13514*3 + 0] = -0.141885f;	val_dir[13514*3 + 1] = 0.182424f;	val_dir[13514*3 + 2] = -0.972929f;
 	val_dir[13515*3 + 0] = -0.121466f;	val_dir[13515*3 + 1] = 0.202444f;	val_dir[13515*3 + 2] = -0.971732f;
 	val_dir[13516*3 + 0] = -0.101015f;	val_dir[13516*3 + 1] = 0.222234f;	val_dir[13516*3 + 2] = -0.969746f;
 	val_dir[13517*3 + 0] = -0.080582f;	val_dir[13517*3 + 1] = 0.241747f;	val_dir[13517*3 + 2] = -0.966988f;
 	val_dir[13518*3 + 0] = -0.060217f;	val_dir[13518*3 + 1] = 0.260941f;	val_dir[13518*3 + 2] = -0.963475f;
 	val_dir[13519*3 + 0] = -0.039968f;	val_dir[13519*3 + 1] = 0.279776f;	val_dir[13519*3 + 2] = -0.959233f;
 	val_dir[13520*3 + 0] = -0.019881f;	val_dir[13520*3 + 1] = 0.298216f;	val_dir[13520*3 + 2] = -0.954291f;
 	val_dir[13521*3 + 0] = 0.0f;	val_dir[13521*3 + 1] = 0.316228f;	val_dir[13521*3 + 2] = -0.948683f;
 	val_dir[13522*3 + 0] = 0.020387f;	val_dir[13522*3 + 1] = 0.346578f;	val_dir[13522*3 + 2] = -0.93780f;
 	val_dir[13523*3 + 0] = 0.042033f;	val_dir[13523*3 + 1] = 0.378298f;	val_dir[13523*3 + 2] = -0.924729f;
 	val_dir[13524*3 + 0] = 0.064942f;	val_dir[13524*3 + 1] = 0.411298f;	val_dir[13524*3 + 2] = -0.909185f;
 	val_dir[13525*3 + 0] = 0.089087f;	val_dir[13525*3 + 1] = 0.445435f;	val_dir[13525*3 + 2] = -0.890871f;
 	val_dir[13526*3 + 0] = 0.114407f;	val_dir[13526*3 + 1] = 0.480510f;	val_dir[13526*3 + 2] = -0.869495f;
 	val_dir[13527*3 + 0] = 0.140797f;	val_dir[13527*3 + 1] = 0.516256f;	val_dir[13527*3 + 2] = -0.844782f;
 	val_dir[13528*3 + 0] = 0.168102f;	val_dir[13528*3 + 1] = 0.552336f;	val_dir[13528*3 + 2] = -0.816497f;
 	val_dir[13529*3 + 0] = 0.196116f;	val_dir[13529*3 + 1] = 0.588348f;	val_dir[13529*3 + 2] = -0.784465f;
 	val_dir[13530*3 + 0] = 0.224579f;	val_dir[13530*3 + 1] = 0.623831f;	val_dir[13530*3 + 2] = -0.748598f;
 	val_dir[13531*3 + 0] = 0.253185f;	val_dir[13531*3 + 1] = 0.658281f;	val_dir[13531*3 + 2] = -0.708918f;
 	val_dir[13532*3 + 0] = 0.281589f;	val_dir[13532*3 + 1] = 0.691173f;	val_dir[13532*3 + 2] = -0.665574f;
 	val_dir[13533*3 + 0] = 0.309426f;	val_dir[13533*3 + 1] = 0.721995f;	val_dir[13533*3 + 2] = -0.618853f;
 	val_dir[13534*3 + 0] = 0.336332f;	val_dir[13534*3 + 1] = 0.750279f;	val_dir[13534*3 + 2] = -0.569177f;
 	val_dir[13535*3 + 0] = 0.361961f;	val_dir[13535*3 + 1] = 0.775632f;	val_dir[13535*3 + 2] = -0.517088f;
 	val_dir[13536*3 + 0] = 0.386014f;	val_dir[13536*3 + 1] = 0.797762f;	val_dir[13536*3 + 2] = -0.463217f;
 	val_dir[13537*3 + 0] = 0.408248f;	val_dir[13537*3 + 1] = 0.816497f;	val_dir[13537*3 + 2] = -0.408248f;
 	val_dir[13538*3 + 0] = 0.428496f;	val_dir[13538*3 + 1] = 0.831786f;	val_dir[13538*3 + 2] = -0.352879f;
 	val_dir[13539*3 + 0] = 0.446662f;	val_dir[13539*3 + 1] = 0.843696f;	val_dir[13539*3 + 2] = -0.297775f;
 	val_dir[13540*3 + 0] = 0.462727f;	val_dir[13540*3 + 1] = 0.852392f;	val_dir[13540*3 + 2] = -0.243541f;
 	val_dir[13541*3 + 0] = 0.476731f;	val_dir[13541*3 + 1] = 0.858116f;	val_dir[13541*3 + 2] = -0.190693f;
 	val_dir[13542*3 + 0] = 0.488769f;	val_dir[13542*3 + 1] = 0.861164f;	val_dir[13542*3 + 2] = -0.139648f;
 	val_dir[13543*3 + 0] = 0.498970f;	val_dir[13543*3 + 1] = 0.861857f;	val_dir[13543*3 + 2] = -0.090722f;
 	val_dir[13544*3 + 0] = 0.507490f;	val_dir[13544*3 + 1] = 0.860527f;	val_dir[13544*3 + 2] = -0.044130f;
 	val_dir[13545*3 + 0] = 0.514496f;	val_dir[13545*3 + 1] = 0.857493f;	val_dir[13545*3 + 2] = 0.0f;
 	val_dir[13546*3 + 0] = -0.866703f;	val_dir[13546*3 + 1] = -0.498354f;	val_dir[13546*3 + 2] = -0.021668f;
 	val_dir[13547*3 + 0] = -0.869030f;	val_dir[13547*3 + 1] = -0.490222f;	val_dir[13547*3 + 2] = -0.066848f;
 	val_dir[13548*3 + 0] = -0.869495f;	val_dir[13548*3 + 1] = -0.480510f;	val_dir[13548*3 + 2] = -0.114407f;
 	val_dir[13549*3 + 0] = -0.867770f;	val_dir[13549*3 + 1] = -0.469065f;	val_dir[13549*3 + 2] = -0.164173f;
 	val_dir[13550*3 + 0] = -0.863530f;	val_dir[13550*3 + 1] = -0.455752f;	val_dir[13550*3 + 2] = -0.215883f;
 	val_dir[13551*3 + 0] = -0.856465f;	val_dir[13551*3 + 1] = -0.440468f;	val_dir[13551*3 + 2] = -0.269175f;
 	val_dir[13552*3 + 0] = -0.846305f;	val_dir[13552*3 + 1] = -0.423153f;	val_dir[13552*3 + 2] = -0.323587f;
 	val_dir[13553*3 + 0] = -0.832845f;	val_dir[13553*3 + 1] = -0.403804f;	val_dir[13553*3 + 2] = -0.378566f;
 	val_dir[13554*3 + 0] = -0.815966f;	val_dir[13554*3 + 1] = -0.382484f;	val_dir[13554*3 + 2] = -0.433482f;
 	val_dir[13555*3 + 0] = -0.795657f;	val_dir[13555*3 + 1] = -0.359329f;	val_dir[13555*3 + 2] = -0.487661f;
 	val_dir[13556*3 + 0] = -0.772027f;	val_dir[13556*3 + 1] = -0.334545f;	val_dir[13556*3 + 2] = -0.540419f;
 	val_dir[13557*3 + 0] = -0.745307f;	val_dir[13557*3 + 1] = -0.308403f;	val_dir[13557*3 + 2] = -0.591105f;
 	val_dir[13558*3 + 0] = -0.715834f;	val_dir[13558*3 + 1] = -0.281220f;	val_dir[13558*3 + 2] = -0.639138f;
 	val_dir[13559*3 + 0] = -0.684038f;	val_dir[13559*3 + 1] = -0.253347f;	val_dir[13559*3 + 2] = -0.684038f;
 	val_dir[13560*3 + 0] = -0.650407f;	val_dir[13560*3 + 1] = -0.225141f;	val_dir[13560*3 + 2] = -0.725454f;
 	val_dir[13561*3 + 0] = -0.615457f;	val_dir[13561*3 + 1] = -0.196946f;	val_dir[13561*3 + 2] = -0.763167f;
 	val_dir[13562*3 + 0] = -0.579703f;	val_dir[13562*3 + 1] = -0.169080f;	val_dir[13562*3 + 2] = -0.797092f;
 	val_dir[13563*3 + 0] = -0.543627f;	val_dir[13563*3 + 1] = -0.141816f;	val_dir[13563*3 + 2] = -0.827259f;
 	val_dir[13564*3 + 0] = -0.507662f;	val_dir[13564*3 + 1] = -0.115378f;	val_dir[13564*3 + 2] = -0.853796f;
 	val_dir[13565*3 + 0] = -0.472178f;	val_dir[13565*3 + 1] = -0.089939f;	val_dir[13565*3 + 2] = -0.876903f;
 	val_dir[13566*3 + 0] = -0.437479f;	val_dir[13566*3 + 1] = -0.065622f;	val_dir[13566*3 + 2] = -0.896831f;
 	val_dir[13567*3 + 0] = -0.403799f;	val_dir[13567*3 + 1] = -0.042505f;	val_dir[13567*3 + 2] = -0.913860f;
 	val_dir[13568*3 + 0] = -0.371312f;	val_dir[13568*3 + 1] = -0.020628f;	val_dir[13568*3 + 2] = -0.928279f;
 	val_dir[13569*3 + 0] = -0.340136f;	val_dir[13569*3 + 1] = 0.0f;	val_dir[13569*3 + 2] = -0.940376f;
 	val_dir[13570*3 + 0] = -0.322198f;	val_dir[13570*3 + 1] = 0.020137f;	val_dir[13570*3 + 2] = -0.946458f;
 	val_dir[13571*3 + 0] = -0.303791f;	val_dir[13571*3 + 1] = 0.040505f;	val_dir[13571*3 + 2] = -0.951877f;
 	val_dir[13572*3 + 0] = -0.284944f;	val_dir[13572*3 + 1] = 0.061059f;	val_dir[13572*3 + 2] = -0.956597f;
 	val_dir[13573*3 + 0] = -0.265694f;	val_dir[13573*3 + 1] = 0.081752f;	val_dir[13573*3 + 2] = -0.960585f;
 	val_dir[13574*3 + 0] = -0.246079f;	val_dir[13574*3 + 1] = 0.102533f;	val_dir[13574*3 + 2] = -0.963811f;
 	val_dir[13575*3 + 0] = -0.226144f;	val_dir[13575*3 + 1] = 0.123351f;	val_dir[13575*3 + 2] = -0.966252f;
 	val_dir[13576*3 + 0] = -0.205934f;	val_dir[13576*3 + 1] = 0.144154f;	val_dir[13576*3 + 2] = -0.967890f;
 	val_dir[13577*3 + 0] = -0.185498f;	val_dir[13577*3 + 1] = 0.164887f;	val_dir[13577*3 + 2] = -0.968712f;
 	val_dir[13578*3 + 0] = -0.164887f;	val_dir[13578*3 + 1] = 0.185498f;	val_dir[13578*3 + 2] = -0.968712f;
 	val_dir[13579*3 + 0] = -0.144154f;	val_dir[13579*3 + 1] = 0.205934f;	val_dir[13579*3 + 2] = -0.967890f;
 	val_dir[13580*3 + 0] = -0.123351f;	val_dir[13580*3 + 1] = 0.226144f;	val_dir[13580*3 + 2] = -0.966252f;
 	val_dir[13581*3 + 0] = -0.102533f;	val_dir[13581*3 + 1] = 0.246079f;	val_dir[13581*3 + 2] = -0.963811f;
 	val_dir[13582*3 + 0] = -0.081752f;	val_dir[13582*3 + 1] = 0.265694f;	val_dir[13582*3 + 2] = -0.960585f;
 	val_dir[13583*3 + 0] = -0.061059f;	val_dir[13583*3 + 1] = 0.284944f;	val_dir[13583*3 + 2] = -0.956597f;
 	val_dir[13584*3 + 0] = -0.040505f;	val_dir[13584*3 + 1] = 0.303791f;	val_dir[13584*3 + 2] = -0.951877f;
 	val_dir[13585*3 + 0] = -0.020137f;	val_dir[13585*3 + 1] = 0.322198f;	val_dir[13585*3 + 2] = -0.946458f;
 	val_dir[13586*3 + 0] = 0.0f;	val_dir[13586*3 + 1] = 0.340136f;	val_dir[13586*3 + 2] = -0.940376f;
 	val_dir[13587*3 + 0] = 0.020628f;	val_dir[13587*3 + 1] = 0.371312f;	val_dir[13587*3 + 2] = -0.928279f;
 	val_dir[13588*3 + 0] = 0.042505f;	val_dir[13588*3 + 1] = 0.403799f;	val_dir[13588*3 + 2] = -0.913860f;
 	val_dir[13589*3 + 0] = 0.065622f;	val_dir[13589*3 + 1] = 0.437479f;	val_dir[13589*3 + 2] = -0.896831f;
 	val_dir[13590*3 + 0] = 0.089939f;	val_dir[13590*3 + 1] = 0.472178f;	val_dir[13590*3 + 2] = -0.876903f;
 	val_dir[13591*3 + 0] = 0.115378f;	val_dir[13591*3 + 1] = 0.507662f;	val_dir[13591*3 + 2] = -0.853796f;
 	val_dir[13592*3 + 0] = 0.141816f;	val_dir[13592*3 + 1] = 0.543627f;	val_dir[13592*3 + 2] = -0.827259f;
 	val_dir[13593*3 + 0] = 0.169080f;	val_dir[13593*3 + 1] = 0.579703f;	val_dir[13593*3 + 2] = -0.797092f;
 	val_dir[13594*3 + 0] = 0.196946f;	val_dir[13594*3 + 1] = 0.615457f;	val_dir[13594*3 + 2] = -0.763167f;
 	val_dir[13595*3 + 0] = 0.225141f;	val_dir[13595*3 + 1] = 0.650407f;	val_dir[13595*3 + 2] = -0.725454f;
 	val_dir[13596*3 + 0] = 0.253347f;	val_dir[13596*3 + 1] = 0.684038f;	val_dir[13596*3 + 2] = -0.684038f;
 	val_dir[13597*3 + 0] = 0.281220f;	val_dir[13597*3 + 1] = 0.715834f;	val_dir[13597*3 + 2] = -0.639138f;
 	val_dir[13598*3 + 0] = 0.308403f;	val_dir[13598*3 + 1] = 0.745307f;	val_dir[13598*3 + 2] = -0.591105f;
 	val_dir[13599*3 + 0] = 0.334545f;	val_dir[13599*3 + 1] = 0.772027f;	val_dir[13599*3 + 2] = -0.540419f;
 	val_dir[13600*3 + 0] = 0.359329f;	val_dir[13600*3 + 1] = 0.795657f;	val_dir[13600*3 + 2] = -0.487661f;
 	val_dir[13601*3 + 0] = 0.382484f;	val_dir[13601*3 + 1] = 0.815966f;	val_dir[13601*3 + 2] = -0.433482f;
 	val_dir[13602*3 + 0] = 0.403804f;	val_dir[13602*3 + 1] = 0.832845f;	val_dir[13602*3 + 2] = -0.378566f;
 	val_dir[13603*3 + 0] = 0.423153f;	val_dir[13603*3 + 1] = 0.846305f;	val_dir[13603*3 + 2] = -0.323587f;
 	val_dir[13604*3 + 0] = 0.440468f;	val_dir[13604*3 + 1] = 0.856465f;	val_dir[13604*3 + 2] = -0.269175f;
 	val_dir[13605*3 + 0] = 0.455752f;	val_dir[13605*3 + 1] = 0.863530f;	val_dir[13605*3 + 2] = -0.215883f;
 	val_dir[13606*3 + 0] = 0.469065f;	val_dir[13606*3 + 1] = 0.867770f;	val_dir[13606*3 + 2] = -0.164173f;
 	val_dir[13607*3 + 0] = 0.480510f;	val_dir[13607*3 + 1] = 0.869495f;	val_dir[13607*3 + 2] = -0.114407f;
 	val_dir[13608*3 + 0] = 0.490222f;	val_dir[13608*3 + 1] = 0.869030f;	val_dir[13608*3 + 2] = -0.066848f;
 	val_dir[13609*3 + 0] = 0.498354f;	val_dir[13609*3 + 1] = 0.866703f;	val_dir[13609*3 + 2] = -0.021668f;
 	val_dir[13610*3 + 0] = -0.872143f;	val_dir[13610*3 + 1] = -0.489251f;	val_dir[13610*3 + 2] = 0.0f;
 	val_dir[13611*3 + 0] = -0.875376f;	val_dir[13611*3 + 1] = -0.481457f;	val_dir[13611*3 + 2] = -0.043769f;
 	val_dir[13612*3 + 0] = -0.876903f;	val_dir[13612*3 + 1] = -0.472178f;	val_dir[13612*3 + 2] = -0.089939f;
 	val_dir[13613*3 + 0] = -0.876405f;	val_dir[13613*3 + 1] = -0.461266f;	val_dir[13613*3 + 2] = -0.138380f;
 	val_dir[13614*3 + 0] = -0.873555f;	val_dir[13614*3 + 1] = -0.448583f;	val_dir[13614*3 + 2] = -0.188877f;
 	val_dir[13615*3 + 0] = -0.868037f;	val_dir[13615*3 + 1] = -0.434019f;	val_dir[13615*3 + 2] = -0.241121f;
 	val_dir[13616*3 + 0] = -0.859559f;	val_dir[13616*3 + 1] = -0.41750f;	val_dir[13616*3 + 2] = -0.294706f;
 	val_dir[13617*3 + 0] = -0.847883f;	val_dir[13617*3 + 1] = -0.399004f;	val_dir[13617*3 + 2] = -0.349128f;
 	val_dir[13618*3 + 0] = -0.832845f;	val_dir[13618*3 + 1] = -0.378566f;	val_dir[13618*3 + 2] = -0.403804f;
 	val_dir[13619*3 + 0] = -0.814379f;	val_dir[13619*3 + 1] = -0.356291f;	val_dir[13619*3 + 2] = -0.458088f;
 	val_dir[13620*3 + 0] = -0.792530f;	val_dir[13620*3 + 1] = -0.332352f;	val_dir[13620*3 + 2] = -0.511310f;
 	val_dir[13621*3 + 0] = -0.767467f;	val_dir[13621*3 + 1] = -0.306987f;	val_dir[13621*3 + 2] = -0.562809f;
 	val_dir[13622*3 + 0] = -0.739469f;	val_dir[13622*3 + 1] = -0.280488f;	val_dir[13622*3 + 2] = -0.611974f;
 	val_dir[13623*3 + 0] = -0.708918f;	val_dir[13623*3 + 1] = -0.253185f;	val_dir[13623*3 + 2] = -0.658281f;
 	val_dir[13624*3 + 0] = -0.676269f;	val_dir[13624*3 + 1] = -0.225423f;	val_dir[13624*3 + 2] = -0.701316f;
 	val_dir[13625*3 + 0] = -0.642024f;	val_dir[13625*3 + 1] = -0.197546f;	val_dir[13625*3 + 2] = -0.740797f;
 	val_dir[13626*3 + 0] = -0.606696f;	val_dir[13626*3 + 1] = -0.169875f;	val_dir[13626*3 + 2] = -0.776571f;
 	val_dir[13627*3 + 0] = -0.570782f;	val_dir[13627*3 + 1] = -0.142695f;	val_dir[13627*3 + 2] = -0.808608f;
 	val_dir[13628*3 + 0] = -0.534739f;	val_dir[13628*3 + 1] = -0.116248f;	val_dir[13628*3 + 2] = -0.836983f;
 	val_dir[13629*3 + 0] = -0.498970f;	val_dir[13629*3 + 1] = -0.090722f;	val_dir[13629*3 + 2] = -0.861857f;
 	val_dir[13630*3 + 0] = -0.463812f;	val_dir[13630*3 + 1] = -0.066259f;	val_dir[13630*3 + 2] = -0.883452f;
 	val_dir[13631*3 + 0] = -0.429537f;	val_dir[13631*3 + 1] = -0.042954f;	val_dir[13631*3 + 2] = -0.902027f;
 	val_dir[13632*3 + 0] = -0.396350f;	val_dir[13632*3 + 1] = -0.020861f;	val_dir[13632*3 + 2] = -0.917863f;
 	val_dir[13633*3 + 0] = -0.364399f;	val_dir[13633*3 + 1] = 0.0f;	val_dir[13633*3 + 2] = -0.931243f;
 	val_dir[13634*3 + 0] = -0.346578f;	val_dir[13634*3 + 1] = 0.020387f;	val_dir[13634*3 + 2] = -0.93780f;
 	val_dir[13635*3 + 0] = -0.328244f;	val_dir[13635*3 + 1] = 0.041030f;	val_dir[13635*3 + 2] = -0.943701f;
 	val_dir[13636*3 + 0] = -0.309426f;	val_dir[13636*3 + 1] = 0.061885f;	val_dir[13636*3 + 2] = -0.948908f;
 	val_dir[13637*3 + 0] = -0.290159f;	val_dir[13637*3 + 1] = 0.082903f;	val_dir[13637*3 + 2] = -0.953381f;
 	val_dir[13638*3 + 0] = -0.270481f;	val_dir[13638*3 + 1] = 0.104031f;	val_dir[13638*3 + 2] = -0.957088f;
 	val_dir[13639*3 + 0] = -0.250435f;	val_dir[13639*3 + 1] = 0.125218f;	val_dir[13639*3 + 2] = -0.960001f;
 	val_dir[13640*3 + 0] = -0.230067f;	val_dir[13640*3 + 1] = 0.146406f;	val_dir[13640*3 + 2] = -0.962099f;
 	val_dir[13641*3 + 0] = -0.209427f;	val_dir[13641*3 + 1] = 0.167542f;	val_dir[13641*3 + 2] = -0.963364f;
 	val_dir[13642*3 + 0] = -0.188567f;	val_dir[13642*3 + 1] = 0.188567f;	val_dir[13642*3 + 2] = -0.963787f;
 	val_dir[13643*3 + 0] = -0.167542f;	val_dir[13643*3 + 1] = 0.209427f;	val_dir[13643*3 + 2] = -0.963364f;
 	val_dir[13644*3 + 0] = -0.146406f;	val_dir[13644*3 + 1] = 0.230067f;	val_dir[13644*3 + 2] = -0.962099f;
 	val_dir[13645*3 + 0] = -0.125218f;	val_dir[13645*3 + 1] = 0.250435f;	val_dir[13645*3 + 2] = -0.960001f;
 	val_dir[13646*3 + 0] = -0.104031f;	val_dir[13646*3 + 1] = 0.270481f;	val_dir[13646*3 + 2] = -0.957088f;
 	val_dir[13647*3 + 0] = -0.082903f;	val_dir[13647*3 + 1] = 0.290159f;	val_dir[13647*3 + 2] = -0.953381f;
 	val_dir[13648*3 + 0] = -0.061885f;	val_dir[13648*3 + 1] = 0.309426f;	val_dir[13648*3 + 2] = -0.948908f;
 	val_dir[13649*3 + 0] = -0.041030f;	val_dir[13649*3 + 1] = 0.328244f;	val_dir[13649*3 + 2] = -0.943701f;
 	val_dir[13650*3 + 0] = -0.020387f;	val_dir[13650*3 + 1] = 0.346578f;	val_dir[13650*3 + 2] = -0.93780f;
 	val_dir[13651*3 + 0] = 0.0f;	val_dir[13651*3 + 1] = 0.364399f;	val_dir[13651*3 + 2] = -0.931243f;
 	val_dir[13652*3 + 0] = 0.020861f;	val_dir[13652*3 + 1] = 0.396350f;	val_dir[13652*3 + 2] = -0.917863f;
 	val_dir[13653*3 + 0] = 0.042954f;	val_dir[13653*3 + 1] = 0.429537f;	val_dir[13653*3 + 2] = -0.902027f;
 	val_dir[13654*3 + 0] = 0.066259f;	val_dir[13654*3 + 1] = 0.463812f;	val_dir[13654*3 + 2] = -0.883452f;
 	val_dir[13655*3 + 0] = 0.090722f;	val_dir[13655*3 + 1] = 0.498970f;	val_dir[13655*3 + 2] = -0.861857f;
 	val_dir[13656*3 + 0] = 0.116248f;	val_dir[13656*3 + 1] = 0.534739f;	val_dir[13656*3 + 2] = -0.836983f;
 	val_dir[13657*3 + 0] = 0.142695f;	val_dir[13657*3 + 1] = 0.570782f;	val_dir[13657*3 + 2] = -0.808608f;
 	val_dir[13658*3 + 0] = 0.169875f;	val_dir[13658*3 + 1] = 0.606696f;	val_dir[13658*3 + 2] = -0.776571f;
 	val_dir[13659*3 + 0] = 0.197546f;	val_dir[13659*3 + 1] = 0.642024f;	val_dir[13659*3 + 2] = -0.740797f;
 	val_dir[13660*3 + 0] = 0.225423f;	val_dir[13660*3 + 1] = 0.676269f;	val_dir[13660*3 + 2] = -0.701316f;
 	val_dir[13661*3 + 0] = 0.253185f;	val_dir[13661*3 + 1] = 0.708918f;	val_dir[13661*3 + 2] = -0.658281f;
 	val_dir[13662*3 + 0] = 0.280488f;	val_dir[13662*3 + 1] = 0.739469f;	val_dir[13662*3 + 2] = -0.611974f;
 	val_dir[13663*3 + 0] = 0.306987f;	val_dir[13663*3 + 1] = 0.767467f;	val_dir[13663*3 + 2] = -0.562809f;
 	val_dir[13664*3 + 0] = 0.332352f;	val_dir[13664*3 + 1] = 0.792530f;	val_dir[13664*3 + 2] = -0.511310f;
 	val_dir[13665*3 + 0] = 0.356291f;	val_dir[13665*3 + 1] = 0.814379f;	val_dir[13665*3 + 2] = -0.458088f;
 	val_dir[13666*3 + 0] = 0.378566f;	val_dir[13666*3 + 1] = 0.832845f;	val_dir[13666*3 + 2] = -0.403804f;
 	val_dir[13667*3 + 0] = 0.399004f;	val_dir[13667*3 + 1] = 0.847883f;	val_dir[13667*3 + 2] = -0.349128f;
 	val_dir[13668*3 + 0] = 0.41750f;	val_dir[13668*3 + 1] = 0.859559f;	val_dir[13668*3 + 2] = -0.294706f;
 	val_dir[13669*3 + 0] = 0.434019f;	val_dir[13669*3 + 1] = 0.868037f;	val_dir[13669*3 + 2] = -0.241121f;
 	val_dir[13670*3 + 0] = 0.448583f;	val_dir[13670*3 + 1] = 0.873555f;	val_dir[13670*3 + 2] = -0.188877f;
 	val_dir[13671*3 + 0] = 0.461266f;	val_dir[13671*3 + 1] = 0.876405f;	val_dir[13671*3 + 2] = -0.138380f;
 	val_dir[13672*3 + 0] = 0.472178f;	val_dir[13672*3 + 1] = 0.876903f;	val_dir[13672*3 + 2] = -0.089939f;
 	val_dir[13673*3 + 0] = 0.481457f;	val_dir[13673*3 + 1] = 0.875376f;	val_dir[13673*3 + 2] = -0.043769f;
 	val_dir[13674*3 + 0] = 0.489251f;	val_dir[13674*3 + 1] = 0.872143f;	val_dir[13674*3 + 2] = 0.0f;
 	val_dir[13675*3 + 0] = -0.880957f;	val_dir[13675*3 + 1] = -0.472709f;	val_dir[13675*3 + 2] = -0.021487f;
 	val_dir[13676*3 + 0] = -0.883452f;	val_dir[13676*3 + 1] = -0.463812f;	val_dir[13676*3 + 2] = -0.066259f;
 	val_dir[13677*3 + 0] = -0.884083f;	val_dir[13677*3 + 1] = -0.453376f;	val_dir[13677*3 + 2] = -0.113344f;
 	val_dir[13678*3 + 0] = -0.882528f;	val_dir[13678*3 + 1] = -0.441264f;	val_dir[13678*3 + 2] = -0.162571f;
 	val_dir[13679*3 + 0] = -0.878466f;	val_dir[13679*3 + 1] = -0.427362f;	val_dir[13679*3 + 2] = -0.213681f;
 	val_dir[13680*3 + 0] = -0.871592f;	val_dir[13680*3 + 1] = -0.411585f;	val_dir[13680*3 + 2] = -0.266320f;
 	val_dir[13681*3 + 0] = -0.861640f;	val_dir[13681*3 + 1] = -0.393893f;	val_dir[13681*3 + 2] = -0.320038f;
 	val_dir[13682*3 + 0] = -0.848411f;	val_dir[13682*3 + 1] = -0.374299f;	val_dir[13682*3 + 2] = -0.374299f;
 	val_dir[13683*3 + 0] = -0.831786f;	val_dir[13683*3 + 1] = -0.352879f;	val_dir[13683*3 + 2] = -0.428496f;
 	val_dir[13684*3 + 0] = -0.811754f;	val_dir[13684*3 + 1] = -0.329775f;	val_dir[13684*3 + 2] = -0.481979f;
 	val_dir[13685*3 + 0] = -0.788419f;	val_dir[13685*3 + 1] = -0.305194f;	val_dir[13685*3 + 2] = -0.534090f;
 	val_dir[13686*3 + 0] = -0.762001f;	val_dir[13686*3 + 1] = -0.27940f;	val_dir[13686*3 + 2] = -0.584201f;
 	val_dir[13687*3 + 0] = -0.732828f;	val_dir[13687*3 + 1] = -0.252699f;	val_dir[13687*3 + 2] = -0.631748f;
 	val_dir[13688*3 + 0] = -0.701316f;	val_dir[13688*3 + 1] = -0.225423f;	val_dir[13688*3 + 2] = -0.676269f;
 	val_dir[13689*3 + 0] = -0.667940f;	val_dir[13689*3 + 1] = -0.197908f;	val_dir[13689*3 + 2] = -0.717418f;
 	val_dir[13690*3 + 0] = -0.633205f;	val_dir[13690*3 + 1] = -0.170478f;	val_dir[13690*3 + 2] = -0.754976f;
 	val_dir[13691*3 + 0] = -0.597614f;	val_dir[13691*3 + 1] = -0.143427f;	val_dir[13691*3 + 2] = -0.788851f;
 	val_dir[13692*3 + 0] = -0.561644f;	val_dir[13692*3 + 1] = -0.117009f;	val_dir[13692*3 + 2] = -0.819064f;
 	val_dir[13693*3 + 0] = -0.525723f;	val_dir[13693*3 + 1] = -0.091430f;	val_dir[13693*3 + 2] = -0.845728f;
 	val_dir[13694*3 + 0] = -0.490222f;	val_dir[13694*3 + 1] = -0.066848f;	val_dir[13694*3 + 2] = -0.869030f;
 	val_dir[13695*3 + 0] = -0.455447f;	val_dir[13695*3 + 1] = -0.043376f;	val_dir[13695*3 + 2] = -0.889206f;
 	val_dir[13696*3 + 0] = -0.421637f;	val_dir[13696*3 + 1] = -0.021082f;	val_dir[13696*3 + 2] = -0.906520f;
 	val_dir[13697*3 + 0] = -0.388972f;	val_dir[13697*3 + 1] = 0.0f;	val_dir[13697*3 + 2] = -0.921250f;
 	val_dir[13698*3 + 0] = -0.371312f;	val_dir[13698*3 + 1] = 0.020628f;	val_dir[13698*3 + 2] = -0.928279f;
 	val_dir[13699*3 + 0] = -0.353096f;	val_dir[13699*3 + 1] = 0.041541f;	val_dir[13699*3 + 2] = -0.934665f;
 	val_dir[13700*3 + 0] = -0.334351f;	val_dir[13700*3 + 1] = 0.062691f;	val_dir[13700*3 + 2] = -0.940361f;
 	val_dir[13701*3 + 0] = -0.315109f;	val_dir[13701*3 + 1] = 0.084029f;	val_dir[13701*3 + 2] = -0.945328f;
 	val_dir[13702*3 + 0] = -0.295409f;	val_dir[13702*3 + 1] = 0.105503f;	val_dir[13702*3 + 2] = -0.949528f;
 	val_dir[13703*3 + 0] = -0.275290f;	val_dir[13703*3 + 1] = 0.127057f;	val_dir[13703*3 + 2] = -0.952928f;
 	val_dir[13704*3 + 0] = -0.254801f;	val_dir[13704*3 + 1] = 0.148634f;	val_dir[13704*3 + 2] = -0.955502f;
 	val_dir[13705*3 + 0] = -0.233990f;	val_dir[13705*3 + 1] = 0.170174f;	val_dir[13705*3 + 2] = -0.957230f;
 	val_dir[13706*3 + 0] = -0.212911f;	val_dir[13706*3 + 1] = 0.191620f;	val_dir[13706*3 + 2] = -0.958098f;
 	val_dir[13707*3 + 0] = -0.191620f;	val_dir[13707*3 + 1] = 0.212911f;	val_dir[13707*3 + 2] = -0.958098f;
 	val_dir[13708*3 + 0] = -0.170174f;	val_dir[13708*3 + 1] = 0.233990f;	val_dir[13708*3 + 2] = -0.957230f;
 	val_dir[13709*3 + 0] = -0.148634f;	val_dir[13709*3 + 1] = 0.254801f;	val_dir[13709*3 + 2] = -0.955502f;
 	val_dir[13710*3 + 0] = -0.127057f;	val_dir[13710*3 + 1] = 0.275290f;	val_dir[13710*3 + 2] = -0.952928f;
 	val_dir[13711*3 + 0] = -0.105503f;	val_dir[13711*3 + 1] = 0.295409f;	val_dir[13711*3 + 2] = -0.949528f;
 	val_dir[13712*3 + 0] = -0.084029f;	val_dir[13712*3 + 1] = 0.315109f;	val_dir[13712*3 + 2] = -0.945328f;
 	val_dir[13713*3 + 0] = -0.062691f;	val_dir[13713*3 + 1] = 0.334351f;	val_dir[13713*3 + 2] = -0.940361f;
 	val_dir[13714*3 + 0] = -0.041541f;	val_dir[13714*3 + 1] = 0.353096f;	val_dir[13714*3 + 2] = -0.934665f;
 	val_dir[13715*3 + 0] = -0.020628f;	val_dir[13715*3 + 1] = 0.371312f;	val_dir[13715*3 + 2] = -0.928279f;
 	val_dir[13716*3 + 0] = 0.0f;	val_dir[13716*3 + 1] = 0.388972f;	val_dir[13716*3 + 2] = -0.921250f;
 	val_dir[13717*3 + 0] = 0.021082f;	val_dir[13717*3 + 1] = 0.421637f;	val_dir[13717*3 + 2] = -0.906520f;
 	val_dir[13718*3 + 0] = 0.043376f;	val_dir[13718*3 + 1] = 0.455447f;	val_dir[13718*3 + 2] = -0.889206f;
 	val_dir[13719*3 + 0] = 0.066848f;	val_dir[13719*3 + 1] = 0.490222f;	val_dir[13719*3 + 2] = -0.869030f;
 	val_dir[13720*3 + 0] = 0.091430f;	val_dir[13720*3 + 1] = 0.525723f;	val_dir[13720*3 + 2] = -0.845728f;
 	val_dir[13721*3 + 0] = 0.117009f;	val_dir[13721*3 + 1] = 0.561644f;	val_dir[13721*3 + 2] = -0.819064f;
 	val_dir[13722*3 + 0] = 0.143427f;	val_dir[13722*3 + 1] = 0.597614f;	val_dir[13722*3 + 2] = -0.788851f;
 	val_dir[13723*3 + 0] = 0.170478f;	val_dir[13723*3 + 1] = 0.633205f;	val_dir[13723*3 + 2] = -0.754976f;
 	val_dir[13724*3 + 0] = 0.197908f;	val_dir[13724*3 + 1] = 0.667940f;	val_dir[13724*3 + 2] = -0.717418f;
 	val_dir[13725*3 + 0] = 0.225423f;	val_dir[13725*3 + 1] = 0.701316f;	val_dir[13725*3 + 2] = -0.676269f;
 	val_dir[13726*3 + 0] = 0.252699f;	val_dir[13726*3 + 1] = 0.732828f;	val_dir[13726*3 + 2] = -0.631748f;
 	val_dir[13727*3 + 0] = 0.27940f;	val_dir[13727*3 + 1] = 0.762001f;	val_dir[13727*3 + 2] = -0.584201f;
 	val_dir[13728*3 + 0] = 0.305194f;	val_dir[13728*3 + 1] = 0.788419f;	val_dir[13728*3 + 2] = -0.534090f;
 	val_dir[13729*3 + 0] = 0.329775f;	val_dir[13729*3 + 1] = 0.811754f;	val_dir[13729*3 + 2] = -0.481979f;
 	val_dir[13730*3 + 0] = 0.352879f;	val_dir[13730*3 + 1] = 0.831786f;	val_dir[13730*3 + 2] = -0.428496f;
 	val_dir[13731*3 + 0] = 0.374299f;	val_dir[13731*3 + 1] = 0.848411f;	val_dir[13731*3 + 2] = -0.374299f;
 	val_dir[13732*3 + 0] = 0.393893f;	val_dir[13732*3 + 1] = 0.861640f;	val_dir[13732*3 + 2] = -0.320038f;
 	val_dir[13733*3 + 0] = 0.411585f;	val_dir[13733*3 + 1] = 0.871592f;	val_dir[13733*3 + 2] = -0.266320f;
 	val_dir[13734*3 + 0] = 0.427362f;	val_dir[13734*3 + 1] = 0.878466f;	val_dir[13734*3 + 2] = -0.213681f;
 	val_dir[13735*3 + 0] = 0.441264f;	val_dir[13735*3 + 1] = 0.882528f;	val_dir[13735*3 + 2] = -0.162571f;
 	val_dir[13736*3 + 0] = 0.453376f;	val_dir[13736*3 + 1] = 0.884083f;	val_dir[13736*3 + 2] = -0.113344f;
 	val_dir[13737*3 + 0] = 0.463812f;	val_dir[13737*3 + 1] = 0.883452f;	val_dir[13737*3 + 2] = -0.066259f;
 	val_dir[13738*3 + 0] = 0.472709f;	val_dir[13738*3 + 1] = 0.880957f;	val_dir[13738*3 + 2] = -0.021487f;
 	val_dir[13739*3 + 0] = -0.885832f;	val_dir[13739*3 + 1] = -0.464007f;	val_dir[13739*3 + 2] = 0.0f;
 	val_dir[13740*3 + 0] = -0.889206f;	val_dir[13740*3 + 1] = -0.455447f;	val_dir[13740*3 + 2] = -0.043376f;
 	val_dir[13741*3 + 0] = -0.890871f;	val_dir[13741*3 + 1] = -0.445435f;	val_dir[13741*3 + 2] = -0.089087f;
 	val_dir[13742*3 + 0] = -0.890513f;	val_dir[13742*3 + 1] = -0.433840f;	val_dir[13742*3 + 2] = -0.137002f;
 	val_dir[13743*3 + 0] = -0.887812f;	val_dir[13743*3 + 1] = -0.420542f;	val_dir[13743*3 + 2] = -0.186908f;
 	val_dir[13744*3 + 0] = -0.882454f;	val_dir[13744*3 + 1] = -0.405452f;	val_dir[13744*3 + 2] = -0.238501f;
 	val_dir[13745*3 + 0] = -0.874157f;	val_dir[13745*3 + 1] = -0.388514f;	val_dir[13745*3 + 2] = -0.291386f;
 	val_dir[13746*3 + 0] = -0.862687f;	val_dir[13746*3 + 1] = -0.369723f;	val_dir[13746*3 + 2] = -0.345075f;
 	val_dir[13747*3 + 0] = -0.847883f;	val_dir[13747*3 + 1] = -0.349128f;	val_dir[13747*3 + 2] = -0.399004f;
 	val_dir[13748*3 + 0] = -0.829680f;	val_dir[13748*3 + 1] = -0.326844f;	val_dir[13748*3 + 2] = -0.452553f;
 	val_dir[13749*3 + 0] = -0.808122f;	val_dir[13749*3 + 1] = -0.303046f;	val_dir[13749*3 + 2] = -0.505076f;
 	val_dir[13750*3 + 0] = -0.783368f;	val_dir[13750*3 + 1] = -0.277969f;	val_dir[13750*3 + 2] = -0.555939f;
 	val_dir[13751*3 + 0] = -0.755689f;	val_dir[13751*3 + 1] = -0.251896f;	val_dir[13751*3 + 2] = -0.604551f;
 	val_dir[13752*3 + 0] = -0.725454f;	val_dir[13752*3 + 1] = -0.225141f;	val_dir[13752*3 + 2] = -0.650407f;
 	val_dir[13753*3 + 0] = -0.693103f;	val_dir[13753*3 + 1] = -0.198030f;	val_dir[13753*3 + 2] = -0.693103f;
 	val_dir[13754*3 + 0] = -0.659125f;	val_dir[13754*3 + 1] = -0.170884f;	val_dir[13754*3 + 2] = -0.732361f;
 	val_dir[13755*3 + 0] = -0.624020f;	val_dir[13755*3 + 1] = -0.144005f;	val_dir[13755*3 + 2] = -0.768025f;
 	val_dir[13756*3 + 0] = -0.588276f;	val_dir[13756*3 + 1] = -0.117655f;	val_dir[13756*3 + 2] = -0.800055f;
 	val_dir[13757*3 + 0] = -0.552345f;	val_dir[13757*3 + 1] = -0.092057f;	val_dir[13757*3 + 2] = -0.828517f;
 	val_dir[13758*3 + 0] = -0.516626f;	val_dir[13758*3 + 1] = -0.067386f;	val_dir[13758*3 + 2] = -0.853556f;
 	val_dir[13759*3 + 0] = -0.481457f;	val_dir[13759*3 + 1] = -0.043769f;	val_dir[13759*3 + 2] = -0.875376f;
 	val_dir[13760*3 + 0] = -0.447112f;	val_dir[13760*3 + 1] = -0.021291f;	val_dir[13760*3 + 2] = -0.894224f;
 	val_dir[13761*3 + 0] = -0.413803f;	val_dir[13761*3 + 1] = 0.0f;	val_dir[13761*3 + 2] = -0.910366f;
 	val_dir[13762*3 + 0] = -0.396350f;	val_dir[13762*3 + 1] = 0.020861f;	val_dir[13762*3 + 2] = -0.917863f;
 	val_dir[13763*3 + 0] = -0.378298f;	val_dir[13763*3 + 1] = 0.042033f;	val_dir[13763*3 + 2] = -0.924729f;
 	val_dir[13764*3 + 0] = -0.359673f;	val_dir[13764*3 + 1] = 0.063472f;	val_dir[13764*3 + 2] = -0.930917f;
 	val_dir[13765*3 + 0] = -0.340503f;	val_dir[13765*3 + 1] = 0.085126f;	val_dir[13765*3 + 2] = -0.936382f;
 	val_dir[13766*3 + 0] = -0.320824f;	val_dir[13766*3 + 1] = 0.106941f;	val_dir[13766*3 + 2] = -0.941082f;
 	val_dir[13767*3 + 0] = -0.300676f;	val_dir[13767*3 + 1] = 0.128861f;	val_dir[13767*3 + 2] = -0.944981f;
 	val_dir[13768*3 + 0] = -0.280105f;	val_dir[13768*3 + 1] = 0.150826f;	val_dir[13768*3 + 2] = -0.948047f;
 	val_dir[13769*3 + 0] = -0.259161f;	val_dir[13769*3 + 1] = 0.172774f;	val_dir[13769*3 + 2] = -0.950255f;
 	val_dir[13770*3 + 0] = -0.237897f;	val_dir[13770*3 + 1] = 0.194643f;	val_dir[13770*3 + 2] = -0.951588f;
 	val_dir[13771*3 + 0] = -0.216371f;	val_dir[13771*3 + 1] = 0.216371f;	val_dir[13771*3 + 2] = -0.952033f;
 	val_dir[13772*3 + 0] = -0.194643f;	val_dir[13772*3 + 1] = 0.237897f;	val_dir[13772*3 + 2] = -0.951588f;
 	val_dir[13773*3 + 0] = -0.172774f;	val_dir[13773*3 + 1] = 0.259161f;	val_dir[13773*3 + 2] = -0.950255f;
 	val_dir[13774*3 + 0] = -0.150826f;	val_dir[13774*3 + 1] = 0.280105f;	val_dir[13774*3 + 2] = -0.948047f;
 	val_dir[13775*3 + 0] = -0.128861f;	val_dir[13775*3 + 1] = 0.300676f;	val_dir[13775*3 + 2] = -0.944981f;
 	val_dir[13776*3 + 0] = -0.106941f;	val_dir[13776*3 + 1] = 0.320824f;	val_dir[13776*3 + 2] = -0.941082f;
 	val_dir[13777*3 + 0] = -0.085126f;	val_dir[13777*3 + 1] = 0.340503f;	val_dir[13777*3 + 2] = -0.936382f;
 	val_dir[13778*3 + 0] = -0.063472f;	val_dir[13778*3 + 1] = 0.359673f;	val_dir[13778*3 + 2] = -0.930917f;
 	val_dir[13779*3 + 0] = -0.042033f;	val_dir[13779*3 + 1] = 0.378298f;	val_dir[13779*3 + 2] = -0.924729f;
 	val_dir[13780*3 + 0] = -0.020861f;	val_dir[13780*3 + 1] = 0.396350f;	val_dir[13780*3 + 2] = -0.917863f;
 	val_dir[13781*3 + 0] = 0.0f;	val_dir[13781*3 + 1] = 0.413803f;	val_dir[13781*3 + 2] = -0.910366f;
 	val_dir[13782*3 + 0] = 0.021291f;	val_dir[13782*3 + 1] = 0.447112f;	val_dir[13782*3 + 2] = -0.894224f;
 	val_dir[13783*3 + 0] = 0.043769f;	val_dir[13783*3 + 1] = 0.481457f;	val_dir[13783*3 + 2] = -0.875376f;
 	val_dir[13784*3 + 0] = 0.067386f;	val_dir[13784*3 + 1] = 0.516626f;	val_dir[13784*3 + 2] = -0.853556f;
 	val_dir[13785*3 + 0] = 0.092057f;	val_dir[13785*3 + 1] = 0.552345f;	val_dir[13785*3 + 2] = -0.828517f;
 	val_dir[13786*3 + 0] = 0.117655f;	val_dir[13786*3 + 1] = 0.588276f;	val_dir[13786*3 + 2] = -0.800055f;
 	val_dir[13787*3 + 0] = 0.144005f;	val_dir[13787*3 + 1] = 0.624020f;	val_dir[13787*3 + 2] = -0.768025f;
 	val_dir[13788*3 + 0] = 0.170884f;	val_dir[13788*3 + 1] = 0.659125f;	val_dir[13788*3 + 2] = -0.732361f;
 	val_dir[13789*3 + 0] = 0.198030f;	val_dir[13789*3 + 1] = 0.693103f;	val_dir[13789*3 + 2] = -0.693103f;
 	val_dir[13790*3 + 0] = 0.225141f;	val_dir[13790*3 + 1] = 0.725454f;	val_dir[13790*3 + 2] = -0.650407f;
 	val_dir[13791*3 + 0] = 0.251896f;	val_dir[13791*3 + 1] = 0.755689f;	val_dir[13791*3 + 2] = -0.604551f;
 	val_dir[13792*3 + 0] = 0.277969f;	val_dir[13792*3 + 1] = 0.783368f;	val_dir[13792*3 + 2] = -0.555939f;
 	val_dir[13793*3 + 0] = 0.303046f;	val_dir[13793*3 + 1] = 0.808122f;	val_dir[13793*3 + 2] = -0.505076f;
 	val_dir[13794*3 + 0] = 0.326844f;	val_dir[13794*3 + 1] = 0.829680f;	val_dir[13794*3 + 2] = -0.452553f;
 	val_dir[13795*3 + 0] = 0.349128f;	val_dir[13795*3 + 1] = 0.847883f;	val_dir[13795*3 + 2] = -0.399004f;
 	val_dir[13796*3 + 0] = 0.369723f;	val_dir[13796*3 + 1] = 0.862687f;	val_dir[13796*3 + 2] = -0.345075f;
 	val_dir[13797*3 + 0] = 0.388514f;	val_dir[13797*3 + 1] = 0.874157f;	val_dir[13797*3 + 2] = -0.291386f;
 	val_dir[13798*3 + 0] = 0.405452f;	val_dir[13798*3 + 1] = 0.882454f;	val_dir[13798*3 + 2] = -0.238501f;
 	val_dir[13799*3 + 0] = 0.420542f;	val_dir[13799*3 + 1] = 0.887812f;	val_dir[13799*3 + 2] = -0.186908f;
 	val_dir[13800*3 + 0] = 0.433840f;	val_dir[13800*3 + 1] = 0.890513f;	val_dir[13800*3 + 2] = -0.137002f;
 	val_dir[13801*3 + 0] = 0.445435f;	val_dir[13801*3 + 1] = 0.890871f;	val_dir[13801*3 + 2] = -0.089087f;
 	val_dir[13802*3 + 0] = 0.455447f;	val_dir[13802*3 + 1] = 0.889206f;	val_dir[13802*3 + 2] = -0.043376f;
 	val_dir[13803*3 + 0] = 0.464007f;	val_dir[13803*3 + 1] = 0.885832f;	val_dir[13803*3 + 2] = 0.0f;
 	val_dir[13804*3 + 0] = -0.894224f;	val_dir[13804*3 + 1] = -0.447112f;	val_dir[13804*3 + 2] = -0.021291f;
 	val_dir[13805*3 + 0] = -0.896831f;	val_dir[13805*3 + 1] = -0.437479f;	val_dir[13805*3 + 2] = -0.065622f;
 	val_dir[13806*3 + 0] = -0.897574f;	val_dir[13806*3 + 1] = -0.426348f;	val_dir[13806*3 + 2] = -0.112197f;
 	val_dir[13807*3 + 0] = -0.896137f;	val_dir[13807*3 + 1] = -0.413602f;	val_dir[13807*3 + 2] = -0.160845f;
 	val_dir[13808*3 + 0] = -0.892206f;	val_dir[13808*3 + 1] = -0.399145f;	val_dir[13808*3 + 2] = -0.211312f;
 	val_dir[13809*3 + 0] = -0.885482f;	val_dir[13809*3 + 1] = -0.382911f;	val_dir[13809*3 + 2] = -0.263251f;
 	val_dir[13810*3 + 0] = -0.875708f;	val_dir[13810*3 + 1] = -0.364878f;	val_dir[13810*3 + 2] = -0.316228f;
 	val_dir[13811*3 + 0] = -0.862687f;	val_dir[13811*3 + 1] = -0.345075f;	val_dir[13811*3 + 2] = -0.369723f;
 	val_dir[13812*3 + 0] = -0.846305f;	val_dir[13812*3 + 1] = -0.323587f;	val_dir[13812*3 + 2] = -0.423153f;
 	val_dir[13813*3 + 0] = -0.826551f;	val_dir[13813*3 + 1] = -0.300564f;	val_dir[13813*3 + 2] = -0.475893f;
 	val_dir[13814*3 + 0] = -0.803523f;	val_dir[13814*3 + 1] = -0.276211f;	val_dir[13814*3 + 2] = -0.527312f;
 	val_dir[13815*3 + 0] = -0.777433f;	val_dir[13815*3 + 1] = -0.250785f;	val_dir[13815*3 + 2] = -0.576805f;
 	val_dir[13816*3 + 0] = -0.748598f;	val_dir[13816*3 + 1] = -0.224579f;	val_dir[13816*3 + 2] = -0.623831f;
 	val_dir[13817*3 + 0] = -0.717418f;	val_dir[13817*3 + 1] = -0.197908f;	val_dir[13817*3 + 2] = -0.667940f;
 	val_dir[13818*3 + 0] = -0.684353f;	val_dir[13818*3 + 1] = -0.171088f;	val_dir[13818*3 + 2] = -0.708794f;
 	val_dir[13819*3 + 0] = -0.649895f;	val_dir[13819*3 + 1] = -0.144421f;	val_dir[13819*3 + 2] = -0.746176f;
 	val_dir[13820*3 + 0] = -0.614535f;	val_dir[13820*3 + 1] = -0.118180f;	val_dir[13820*3 + 2] = -0.779987f;
 	val_dir[13821*3 + 0] = -0.578741f;	val_dir[13821*3 + 1] = -0.092599f;	val_dir[13821*3 + 2] = -0.810237f;
 	val_dir[13822*3 + 0] = -0.542936f;	val_dir[13822*3 + 1] = -0.067867f;	val_dir[13822*3 + 2] = -0.837027f;
 	val_dir[13823*3 + 0] = -0.507490f;	val_dir[13823*3 + 1] = -0.044130f;	val_dir[13823*3 + 2] = -0.860527f;
 	val_dir[13824*3 + 0] = -0.472709f;	val_dir[13824*3 + 1] = -0.021487f;	val_dir[13824*3 + 2] = -0.880957f;
 	val_dir[13825*3 + 0] = -0.438835f;	val_dir[13825*3 + 1] = 0.0f;	val_dir[13825*3 + 2] = -0.898567f;
 	val_dir[13826*3 + 0] = -0.421637f;	val_dir[13826*3 + 1] = 0.021082f;	val_dir[13826*3 + 2] = -0.906520f;
 	val_dir[13827*3 + 0] = -0.403799f;	val_dir[13827*3 + 1] = 0.042505f;	val_dir[13827*3 + 2] = -0.913860f;
 	val_dir[13828*3 + 0] = -0.385341f;	val_dir[13828*3 + 1] = 0.064223f;	val_dir[13828*3 + 2] = -0.920537f;
 	val_dir[13829*3 + 0] = -0.366291f;	val_dir[13829*3 + 1] = 0.086186f;	val_dir[13829*3 + 2] = -0.92650f;
 	val_dir[13830*3 + 0] = -0.346681f;	val_dir[13830*3 + 1] = 0.108338f;	val_dir[13830*3 + 2] = -0.931705f;
 	val_dir[13831*3 + 0] = -0.326550f;	val_dir[13831*3 + 1] = 0.130620f;	val_dir[13831*3 + 2] = -0.936111f;
 	val_dir[13832*3 + 0] = -0.305942f;	val_dir[13832*3 + 1] = 0.152971f;	val_dir[13832*3 + 2] = -0.939680f;
 	val_dir[13833*3 + 0] = -0.284907f;	val_dir[13833*3 + 1] = 0.175327f;	val_dir[13833*3 + 2] = -0.942384f;
 	val_dir[13834*3 + 0] = -0.263498f;	val_dir[13834*3 + 1] = 0.197623f;	val_dir[13834*3 + 2] = -0.94420f;
 	val_dir[13835*3 + 0] = -0.241773f;	val_dir[13835*3 + 1] = 0.219793f;	val_dir[13835*3 + 2] = -0.945112f;
 	val_dir[13836*3 + 0] = -0.219793f;	val_dir[13836*3 + 1] = 0.241773f;	val_dir[13836*3 + 2] = -0.945112f;
 	val_dir[13837*3 + 0] = -0.197623f;	val_dir[13837*3 + 1] = 0.263498f;	val_dir[13837*3 + 2] = -0.94420f;
 	val_dir[13838*3 + 0] = -0.175327f;	val_dir[13838*3 + 1] = 0.284907f;	val_dir[13838*3 + 2] = -0.942384f;
 	val_dir[13839*3 + 0] = -0.152971f;	val_dir[13839*3 + 1] = 0.305942f;	val_dir[13839*3 + 2] = -0.939680f;
 	val_dir[13840*3 + 0] = -0.130620f;	val_dir[13840*3 + 1] = 0.326550f;	val_dir[13840*3 + 2] = -0.936111f;
 	val_dir[13841*3 + 0] = -0.108338f;	val_dir[13841*3 + 1] = 0.346681f;	val_dir[13841*3 + 2] = -0.931705f;
 	val_dir[13842*3 + 0] = -0.086186f;	val_dir[13842*3 + 1] = 0.366291f;	val_dir[13842*3 + 2] = -0.92650f;
 	val_dir[13843*3 + 0] = -0.064223f;	val_dir[13843*3 + 1] = 0.385341f;	val_dir[13843*3 + 2] = -0.920537f;
 	val_dir[13844*3 + 0] = -0.042505f;	val_dir[13844*3 + 1] = 0.403799f;	val_dir[13844*3 + 2] = -0.913860f;
 	val_dir[13845*3 + 0] = -0.021082f;	val_dir[13845*3 + 1] = 0.421637f;	val_dir[13845*3 + 2] = -0.906520f;
 	val_dir[13846*3 + 0] = 0.0f;	val_dir[13846*3 + 1] = 0.438835f;	val_dir[13846*3 + 2] = -0.898567f;
 	val_dir[13847*3 + 0] = 0.021487f;	val_dir[13847*3 + 1] = 0.472709f;	val_dir[13847*3 + 2] = -0.880957f;
 	val_dir[13848*3 + 0] = 0.044130f;	val_dir[13848*3 + 1] = 0.507490f;	val_dir[13848*3 + 2] = -0.860527f;
 	val_dir[13849*3 + 0] = 0.067867f;	val_dir[13849*3 + 1] = 0.542936f;	val_dir[13849*3 + 2] = -0.837027f;
 	val_dir[13850*3 + 0] = 0.092599f;	val_dir[13850*3 + 1] = 0.578741f;	val_dir[13850*3 + 2] = -0.810237f;
 	val_dir[13851*3 + 0] = 0.118180f;	val_dir[13851*3 + 1] = 0.614535f;	val_dir[13851*3 + 2] = -0.779987f;
 	val_dir[13852*3 + 0] = 0.144421f;	val_dir[13852*3 + 1] = 0.649895f;	val_dir[13852*3 + 2] = -0.746176f;
 	val_dir[13853*3 + 0] = 0.171088f;	val_dir[13853*3 + 1] = 0.684353f;	val_dir[13853*3 + 2] = -0.708794f;
 	val_dir[13854*3 + 0] = 0.197908f;	val_dir[13854*3 + 1] = 0.717418f;	val_dir[13854*3 + 2] = -0.667940f;
 	val_dir[13855*3 + 0] = 0.224579f;	val_dir[13855*3 + 1] = 0.748598f;	val_dir[13855*3 + 2] = -0.623831f;
 	val_dir[13856*3 + 0] = 0.250785f;	val_dir[13856*3 + 1] = 0.777433f;	val_dir[13856*3 + 2] = -0.576805f;
 	val_dir[13857*3 + 0] = 0.276211f;	val_dir[13857*3 + 1] = 0.803523f;	val_dir[13857*3 + 2] = -0.527312f;
 	val_dir[13858*3 + 0] = 0.300564f;	val_dir[13858*3 + 1] = 0.826551f;	val_dir[13858*3 + 2] = -0.475893f;
 	val_dir[13859*3 + 0] = 0.323587f;	val_dir[13859*3 + 1] = 0.846305f;	val_dir[13859*3 + 2] = -0.423153f;
 	val_dir[13860*3 + 0] = 0.345075f;	val_dir[13860*3 + 1] = 0.862687f;	val_dir[13860*3 + 2] = -0.369723f;
 	val_dir[13861*3 + 0] = 0.364878f;	val_dir[13861*3 + 1] = 0.875708f;	val_dir[13861*3 + 2] = -0.316228f;
 	val_dir[13862*3 + 0] = 0.382911f;	val_dir[13862*3 + 1] = 0.885482f;	val_dir[13862*3 + 2] = -0.263251f;
 	val_dir[13863*3 + 0] = 0.399145f;	val_dir[13863*3 + 1] = 0.892206f;	val_dir[13863*3 + 2] = -0.211312f;
 	val_dir[13864*3 + 0] = 0.413602f;	val_dir[13864*3 + 1] = 0.896137f;	val_dir[13864*3 + 2] = -0.160845f;
 	val_dir[13865*3 + 0] = 0.426348f;	val_dir[13865*3 + 1] = 0.897574f;	val_dir[13865*3 + 2] = -0.112197f;
 	val_dir[13866*3 + 0] = 0.437479f;	val_dir[13866*3 + 1] = 0.896831f;	val_dir[13866*3 + 2] = -0.065622f;
 	val_dir[13867*3 + 0] = 0.447112f;	val_dir[13867*3 + 1] = 0.894224f;	val_dir[13867*3 + 2] = -0.021291f;
 	val_dir[13868*3 + 0] = -0.898567f;	val_dir[13868*3 + 1] = -0.438835f;	val_dir[13868*3 + 2] = 0.0f;
 	val_dir[13869*3 + 0] = -0.902027f;	val_dir[13869*3 + 1] = -0.429537f;	val_dir[13869*3 + 2] = -0.042954f;
 	val_dir[13870*3 + 0] = -0.903777f;	val_dir[13870*3 + 1] = -0.418823f;	val_dir[13870*3 + 2] = -0.088173f;
 	val_dir[13871*3 + 0] = -0.903508f;	val_dir[13871*3 + 1] = -0.406579f;	val_dir[13871*3 + 2] = -0.135526f;
 	val_dir[13872*3 + 0] = -0.900907f;	val_dir[13872*3 + 1] = -0.392703f;	val_dir[13872*3 + 2] = -0.184801f;
 	val_dir[13873*3 + 0] = -0.895669f;	val_dir[13873*3 + 1] = -0.377124f;	val_dir[13873*3 + 2] = -0.235702f;
 	val_dir[13874*3 + 0] = -0.887517f;	val_dir[13874*3 + 1] = -0.359804f;	val_dir[13874*3 + 2] = -0.287843f;
 	val_dir[13875*3 + 0] = -0.876226f;	val_dir[13875*3 + 1] = -0.340755f;	val_dir[13875*3 + 2] = -0.340755f;
 	val_dir[13876*3 + 0] = -0.861640f;	val_dir[13876*3 + 1] = -0.320038f;	val_dir[13876*3 + 2] = -0.393893f;
 	val_dir[13877*3 + 0] = -0.843696f;	val_dir[13877*3 + 1] = -0.297775f;	val_dir[13877*3 + 2] = -0.446662f;
 	val_dir[13878*3 + 0] = -0.822434f;	val_dir[13878*3 + 1] = -0.274145f;	val_dir[13878*3 + 2] = -0.498445f;
 	val_dir[13879*3 + 0] = -0.798007f;	val_dir[13879*3 + 1] = -0.249377f;	val_dir[13879*3 + 2] = -0.548630f;
 	val_dir[13880*3 + 0] = -0.770677f;	val_dir[13880*3 + 1] = -0.223745f;	val_dir[13880*3 + 2] = -0.596653f;
 	val_dir[13881*3 + 0] = -0.740797f;	val_dir[13881*3 + 1] = -0.197546f;	val_dir[13881*3 + 2] = -0.642024f;
 	val_dir[13882*3 + 0] = -0.708794f;	val_dir[13882*3 + 1] = -0.171088f;	val_dir[13882*3 + 2] = -0.684353f;
 	val_dir[13883*3 + 0] = -0.675140f;	val_dir[13883*3 + 1] = -0.144673f;	val_dir[13883*3 + 2] = -0.723364f;
 	val_dir[13884*3 + 0] = -0.640321f;	val_dir[13884*3 + 1] = -0.118578f;	val_dir[13884*3 + 2] = -0.758899f;
 	val_dir[13885*3 + 0] = -0.604815f;	val_dir[13885*3 + 1] = -0.093048f;	val_dir[13885*3 + 2] = -0.790912f;
 	val_dir[13886*3 + 0] = -0.569064f;	val_dir[13886*3 + 1] = -0.068288f;	val_dir[13886*3 + 2] = -0.819453f;
 	val_dir[13887*3 + 0] = -0.533465f;	val_dir[13887*3 + 1] = -0.044455f;	val_dir[13887*3 + 2] = -0.844653f;
 	val_dir[13888*3 + 0] = -0.498354f;	val_dir[13888*3 + 1] = -0.021668f;	val_dir[13888*3 + 2] = -0.866703f;
 	val_dir[13889*3 + 0] = -0.464007f;	val_dir[13889*3 + 1] = 0.0f;	val_dir[13889*3 + 2] = -0.885832f;
 	val_dir[13890*3 + 0] = -0.447112f;	val_dir[13890*3 + 1] = 0.021291f;	val_dir[13890*3 + 2] = -0.894224f;
 	val_dir[13891*3 + 0] = -0.429537f;	val_dir[13891*3 + 1] = 0.042954f;	val_dir[13891*3 + 2] = -0.902027f;
 	val_dir[13892*3 + 0] = -0.411298f;	val_dir[13892*3 + 1] = 0.064942f;	val_dir[13892*3 + 2] = -0.909185f;
 	val_dir[13893*3 + 0] = -0.392419f;	val_dir[13893*3 + 1] = 0.087204f;	val_dir[13893*3 + 2] = -0.915644f;
 	val_dir[13894*3 + 0] = -0.372929f;	val_dir[13894*3 + 1] = 0.109685f;	val_dir[13894*3 + 2] = -0.921354f;
 	val_dir[13895*3 + 0] = -0.352865f;	val_dir[13895*3 + 1] = 0.132324f;	val_dir[13895*3 + 2] = -0.926270f;
 	val_dir[13896*3 + 0] = -0.332269f;	val_dir[13896*3 + 1] = 0.155059f;	val_dir[13896*3 + 2] = -0.930352f;
 	val_dir[13897*3 + 0] = -0.311188f;	val_dir[13897*3 + 1] = 0.177822f;	val_dir[13897*3 + 2] = -0.933564f;
 	val_dir[13898*3 + 0] = -0.289677f;	val_dir[13898*3 + 1] = 0.200545f;	val_dir[13898*3 + 2] = -0.935879f;
 	val_dir[13899*3 + 0] = -0.267793f;	val_dir[13899*3 + 1] = 0.223161f;	val_dir[13899*3 + 2] = -0.937276f;
 	val_dir[13900*3 + 0] = -0.245599f;	val_dir[13900*3 + 1] = 0.245599f;	val_dir[13900*3 + 2] = -0.937743f;
 	val_dir[13901*3 + 0] = -0.223161f;	val_dir[13901*3 + 1] = 0.267793f;	val_dir[13901*3 + 2] = -0.937276f;
 	val_dir[13902*3 + 0] = -0.200545f;	val_dir[13902*3 + 1] = 0.289677f;	val_dir[13902*3 + 2] = -0.935879f;
 	val_dir[13903*3 + 0] = -0.177822f;	val_dir[13903*3 + 1] = 0.311188f;	val_dir[13903*3 + 2] = -0.933564f;
 	val_dir[13904*3 + 0] = -0.155059f;	val_dir[13904*3 + 1] = 0.332269f;	val_dir[13904*3 + 2] = -0.930352f;
 	val_dir[13905*3 + 0] = -0.132324f;	val_dir[13905*3 + 1] = 0.352865f;	val_dir[13905*3 + 2] = -0.926270f;
 	val_dir[13906*3 + 0] = -0.109685f;	val_dir[13906*3 + 1] = 0.372929f;	val_dir[13906*3 + 2] = -0.921354f;
 	val_dir[13907*3 + 0] = -0.087204f;	val_dir[13907*3 + 1] = 0.392419f;	val_dir[13907*3 + 2] = -0.915644f;
 	val_dir[13908*3 + 0] = -0.064942f;	val_dir[13908*3 + 1] = 0.411298f;	val_dir[13908*3 + 2] = -0.909185f;
 	val_dir[13909*3 + 0] = -0.042954f;	val_dir[13909*3 + 1] = 0.429537f;	val_dir[13909*3 + 2] = -0.902027f;
 	val_dir[13910*3 + 0] = -0.021291f;	val_dir[13910*3 + 1] = 0.447112f;	val_dir[13910*3 + 2] = -0.894224f;
 	val_dir[13911*3 + 0] = 0.0f;	val_dir[13911*3 + 1] = 0.464007f;	val_dir[13911*3 + 2] = -0.885832f;
 	val_dir[13912*3 + 0] = 0.021668f;	val_dir[13912*3 + 1] = 0.498354f;	val_dir[13912*3 + 2] = -0.866703f;
 	val_dir[13913*3 + 0] = 0.044455f;	val_dir[13913*3 + 1] = 0.533465f;	val_dir[13913*3 + 2] = -0.844653f;
 	val_dir[13914*3 + 0] = 0.068288f;	val_dir[13914*3 + 1] = 0.569064f;	val_dir[13914*3 + 2] = -0.819453f;
 	val_dir[13915*3 + 0] = 0.093048f;	val_dir[13915*3 + 1] = 0.604815f;	val_dir[13915*3 + 2] = -0.790912f;
 	val_dir[13916*3 + 0] = 0.118578f;	val_dir[13916*3 + 1] = 0.640321f;	val_dir[13916*3 + 2] = -0.758899f;
 	val_dir[13917*3 + 0] = 0.144673f;	val_dir[13917*3 + 1] = 0.675140f;	val_dir[13917*3 + 2] = -0.723364f;
 	val_dir[13918*3 + 0] = 0.171088f;	val_dir[13918*3 + 1] = 0.708794f;	val_dir[13918*3 + 2] = -0.684353f;
 	val_dir[13919*3 + 0] = 0.197546f;	val_dir[13919*3 + 1] = 0.740797f;	val_dir[13919*3 + 2] = -0.642024f;
 	val_dir[13920*3 + 0] = 0.223745f;	val_dir[13920*3 + 1] = 0.770677f;	val_dir[13920*3 + 2] = -0.596653f;
 	val_dir[13921*3 + 0] = 0.249377f;	val_dir[13921*3 + 1] = 0.798007f;	val_dir[13921*3 + 2] = -0.548630f;
 	val_dir[13922*3 + 0] = 0.274145f;	val_dir[13922*3 + 1] = 0.822434f;	val_dir[13922*3 + 2] = -0.498445f;
 	val_dir[13923*3 + 0] = 0.297775f;	val_dir[13923*3 + 1] = 0.843696f;	val_dir[13923*3 + 2] = -0.446662f;
 	val_dir[13924*3 + 0] = 0.320038f;	val_dir[13924*3 + 1] = 0.861640f;	val_dir[13924*3 + 2] = -0.393893f;
 	val_dir[13925*3 + 0] = 0.340755f;	val_dir[13925*3 + 1] = 0.876226f;	val_dir[13925*3 + 2] = -0.340755f;
 	val_dir[13926*3 + 0] = 0.359804f;	val_dir[13926*3 + 1] = 0.887517f;	val_dir[13926*3 + 2] = -0.287843f;
 	val_dir[13927*3 + 0] = 0.377124f;	val_dir[13927*3 + 1] = 0.895669f;	val_dir[13927*3 + 2] = -0.235702f;
 	val_dir[13928*3 + 0] = 0.392703f;	val_dir[13928*3 + 1] = 0.900907f;	val_dir[13928*3 + 2] = -0.184801f;
 	val_dir[13929*3 + 0] = 0.406579f;	val_dir[13929*3 + 1] = 0.903508f;	val_dir[13929*3 + 2] = -0.135526f;
 	val_dir[13930*3 + 0] = 0.418823f;	val_dir[13930*3 + 1] = 0.903777f;	val_dir[13930*3 + 2] = -0.088173f;
 	val_dir[13931*3 + 0] = 0.429537f;	val_dir[13931*3 + 1] = 0.902027f;	val_dir[13931*3 + 2] = -0.042954f;
 	val_dir[13932*3 + 0] = 0.438835f;	val_dir[13932*3 + 1] = 0.898567f;	val_dir[13932*3 + 2] = 0.0f;
 	val_dir[13933*3 + 0] = -0.906520f;	val_dir[13933*3 + 1] = -0.421637f;	val_dir[13933*3 + 2] = -0.021082f;
 	val_dir[13934*3 + 0] = -0.909185f;	val_dir[13934*3 + 1] = -0.411298f;	val_dir[13934*3 + 2] = -0.064942f;
 	val_dir[13935*3 + 0] = -0.909988f;	val_dir[13935*3 + 1] = -0.399507f;	val_dir[13935*3 + 2] = -0.110974f;
 	val_dir[13936*3 + 0] = -0.908622f;	val_dir[13936*3 + 1] = -0.386164f;	val_dir[13936*3 + 2] = -0.159009f;
 	val_dir[13937*3 + 0] = -0.904777f;	val_dir[13937*3 + 1] = -0.371191f;	val_dir[13937*3 + 2] = -0.208795f;
 	val_dir[13938*3 + 0] = -0.898167f;	val_dir[13938*3 + 1] = -0.354540f;	val_dir[13938*3 + 2] = -0.259996f;
 	val_dir[13939*3 + 0] = -0.888540f;	val_dir[13939*3 + 1] = -0.336204f;	val_dir[13939*3 + 2] = -0.312190f;
 	val_dir[13940*3 + 0] = -0.875708f;	val_dir[13940*3 + 1] = -0.316228f;	val_dir[13940*3 + 2] = -0.364878f;
 	val_dir[13941*3 + 0] = -0.859559f;	val_dir[13941*3 + 1] = -0.294706f;	val_dir[13941*3 + 2] = -0.41750f;
 	val_dir[13942*3 + 0] = -0.840083f;	val_dir[13942*3 + 1] = -0.271791f;	val_dir[13942*3 + 2] = -0.469458f;
 	val_dir[13943*3 + 0] = -0.817373f;	val_dir[13943*3 + 1] = -0.247689f;	val_dir[13943*3 + 2] = -0.520146f;
 	val_dir[13944*3 + 0] = -0.791633f;	val_dir[13944*3 + 1] = -0.222647f;	val_dir[13944*3 + 2] = -0.568986f;
 	val_dir[13945*3 + 0] = -0.763167f;	val_dir[13945*3 + 1] = -0.196946f;	val_dir[13945*3 + 2] = -0.615457f;
 	val_dir[13946*3 + 0] = -0.732361f;	val_dir[13946*3 + 1] = -0.170884f;	val_dir[13946*3 + 2] = -0.659125f;
 	val_dir[13947*3 + 0] = -0.699659f;	val_dir[13947*3 + 1] = -0.144757f;	val_dir[13947*3 + 2] = -0.699659f;
 	val_dir[13948*3 + 0] = -0.665536f;	val_dir[13948*3 + 1] = -0.118846f;	val_dir[13948*3 + 2] = -0.736843f;
 	val_dir[13949*3 + 0] = -0.630470f;	val_dir[13949*3 + 1] = -0.093403f;	val_dir[13949*3 + 2] = -0.770574f;
 	val_dir[13950*3 + 0] = -0.594917f;	val_dir[13950*3 + 1] = -0.068644f;	val_dir[13950*3 + 2] = -0.800850f;
 	val_dir[13951*3 + 0] = -0.559297f;	val_dir[13951*3 + 1] = -0.044744f;	val_dir[13951*3 + 2] = -0.827759f;
 	val_dir[13952*3 + 0] = -0.523973f;	val_dir[13952*3 + 1] = -0.021832f;	val_dir[13952*3 + 2] = -0.851455f;
 	val_dir[13953*3 + 0] = -0.489251f;	val_dir[13953*3 + 1] = 0.0f;	val_dir[13953*3 + 2] = -0.872143f;
 	val_dir[13954*3 + 0] = -0.472709f;	val_dir[13954*3 + 1] = 0.021487f;	val_dir[13954*3 + 2] = -0.880957f;
 	val_dir[13955*3 + 0] = -0.455447f;	val_dir[13955*3 + 1] = 0.043376f;	val_dir[13955*3 + 2] = -0.889206f;
 	val_dir[13956*3 + 0] = -0.437479f;	val_dir[13956*3 + 1] = 0.065622f;	val_dir[13956*3 + 2] = -0.896831f;
 	val_dir[13957*3 + 0] = -0.418823f;	val_dir[13957*3 + 1] = 0.088173f;	val_dir[13957*3 + 2] = -0.903777f;
 	val_dir[13958*3 + 0] = -0.399507f;	val_dir[13958*3 + 1] = 0.110974f;	val_dir[13958*3 + 2] = -0.909988f;
 	val_dir[13959*3 + 0] = -0.379563f;	val_dir[13959*3 + 1] = 0.133963f;	val_dir[13959*3 + 2] = -0.915416f;
 	val_dir[13960*3 + 0] = -0.359030f;	val_dir[13960*3 + 1] = 0.157075f;	val_dir[13960*3 + 2] = -0.920014f;
 	val_dir[13961*3 + 0] = -0.337954f;	val_dir[13961*3 + 1] = 0.180242f;	val_dir[13961*3 + 2] = -0.923742f;
 	val_dir[13962*3 + 0] = -0.316389f;	val_dir[13962*3 + 1] = 0.203393f;	val_dir[13962*3 + 2] = -0.926568f;
 	val_dir[13963*3 + 0] = -0.294392f;	val_dir[13963*3 + 1] = 0.226455f;	val_dir[13963*3 + 2] = -0.928467f;
 	val_dir[13964*3 + 0] = -0.272026f;	val_dir[13964*3 + 1] = 0.249357f;	val_dir[13964*3 + 2] = -0.929421f;
 	val_dir[13965*3 + 0] = -0.249357f;	val_dir[13965*3 + 1] = 0.272026f;	val_dir[13965*3 + 2] = -0.929421f;
 	val_dir[13966*3 + 0] = -0.226455f;	val_dir[13966*3 + 1] = 0.294392f;	val_dir[13966*3 + 2] = -0.928467f;
 	val_dir[13967*3 + 0] = -0.203393f;	val_dir[13967*3 + 1] = 0.316389f;	val_dir[13967*3 + 2] = -0.926568f;
 	val_dir[13968*3 + 0] = -0.180242f;	val_dir[13968*3 + 1] = 0.337954f;	val_dir[13968*3 + 2] = -0.923742f;
 	val_dir[13969*3 + 0] = -0.157075f;	val_dir[13969*3 + 1] = 0.359030f;	val_dir[13969*3 + 2] = -0.920014f;
 	val_dir[13970*3 + 0] = -0.133963f;	val_dir[13970*3 + 1] = 0.379563f;	val_dir[13970*3 + 2] = -0.915416f;
 	val_dir[13971*3 + 0] = -0.110974f;	val_dir[13971*3 + 1] = 0.399507f;	val_dir[13971*3 + 2] = -0.909988f;
 	val_dir[13972*3 + 0] = -0.088173f;	val_dir[13972*3 + 1] = 0.418823f;	val_dir[13972*3 + 2] = -0.903777f;
 	val_dir[13973*3 + 0] = -0.065622f;	val_dir[13973*3 + 1] = 0.437479f;	val_dir[13973*3 + 2] = -0.896831f;
 	val_dir[13974*3 + 0] = -0.043376f;	val_dir[13974*3 + 1] = 0.455447f;	val_dir[13974*3 + 2] = -0.889206f;
 	val_dir[13975*3 + 0] = -0.021487f;	val_dir[13975*3 + 1] = 0.472709f;	val_dir[13975*3 + 2] = -0.880957f;
 	val_dir[13976*3 + 0] = 0.0f;	val_dir[13976*3 + 1] = 0.489251f;	val_dir[13976*3 + 2] = -0.872143f;
 	val_dir[13977*3 + 0] = 0.021832f;	val_dir[13977*3 + 1] = 0.523973f;	val_dir[13977*3 + 2] = -0.851455f;
 	val_dir[13978*3 + 0] = 0.044744f;	val_dir[13978*3 + 1] = 0.559297f;	val_dir[13978*3 + 2] = -0.827759f;
 	val_dir[13979*3 + 0] = 0.068644f;	val_dir[13979*3 + 1] = 0.594917f;	val_dir[13979*3 + 2] = -0.800850f;
 	val_dir[13980*3 + 0] = 0.093403f;	val_dir[13980*3 + 1] = 0.630470f;	val_dir[13980*3 + 2] = -0.770574f;
 	val_dir[13981*3 + 0] = 0.118846f;	val_dir[13981*3 + 1] = 0.665536f;	val_dir[13981*3 + 2] = -0.736843f;
 	val_dir[13982*3 + 0] = 0.144757f;	val_dir[13982*3 + 1] = 0.699659f;	val_dir[13982*3 + 2] = -0.699659f;
 	val_dir[13983*3 + 0] = 0.170884f;	val_dir[13983*3 + 1] = 0.732361f;	val_dir[13983*3 + 2] = -0.659125f;
 	val_dir[13984*3 + 0] = 0.196946f;	val_dir[13984*3 + 1] = 0.763167f;	val_dir[13984*3 + 2] = -0.615457f;
 	val_dir[13985*3 + 0] = 0.222647f;	val_dir[13985*3 + 1] = 0.791633f;	val_dir[13985*3 + 2] = -0.568986f;
 	val_dir[13986*3 + 0] = 0.247689f;	val_dir[13986*3 + 1] = 0.817373f;	val_dir[13986*3 + 2] = -0.520146f;
 	val_dir[13987*3 + 0] = 0.271791f;	val_dir[13987*3 + 1] = 0.840083f;	val_dir[13987*3 + 2] = -0.469458f;
 	val_dir[13988*3 + 0] = 0.294706f;	val_dir[13988*3 + 1] = 0.859559f;	val_dir[13988*3 + 2] = -0.41750f;
 	val_dir[13989*3 + 0] = 0.316228f;	val_dir[13989*3 + 1] = 0.875708f;	val_dir[13989*3 + 2] = -0.364878f;
 	val_dir[13990*3 + 0] = 0.336204f;	val_dir[13990*3 + 1] = 0.888540f;	val_dir[13990*3 + 2] = -0.312190f;
 	val_dir[13991*3 + 0] = 0.354540f;	val_dir[13991*3 + 1] = 0.898167f;	val_dir[13991*3 + 2] = -0.259996f;
 	val_dir[13992*3 + 0] = 0.371191f;	val_dir[13992*3 + 1] = 0.904777f;	val_dir[13992*3 + 2] = -0.208795f;
 	val_dir[13993*3 + 0] = 0.386164f;	val_dir[13993*3 + 1] = 0.908622f;	val_dir[13993*3 + 2] = -0.159009f;
 	val_dir[13994*3 + 0] = 0.399507f;	val_dir[13994*3 + 1] = 0.909988f;	val_dir[13994*3 + 2] = -0.110974f;
 	val_dir[13995*3 + 0] = 0.411298f;	val_dir[13995*3 + 1] = 0.909185f;	val_dir[13995*3 + 2] = -0.064942f;
 	val_dir[13996*3 + 0] = 0.421637f;	val_dir[13996*3 + 1] = 0.906520f;	val_dir[13996*3 + 2] = -0.021082f;
 	val_dir[13997*3 + 0] = -0.910366f;	val_dir[13997*3 + 1] = -0.413803f;	val_dir[13997*3 + 2] = 0.0f;
 	val_dir[13998*3 + 0] = -0.913860f;	val_dir[13998*3 + 1] = -0.403799f;	val_dir[13998*3 + 2] = -0.042505f;
 	val_dir[13999*3 + 0] = -0.915644f;	val_dir[13999*3 + 1] = -0.392419f;	val_dir[13999*3 + 2] = -0.087204f;
 	val_dir[14000*3 + 0] = -0.915416f;	val_dir[14000*3 + 1] = -0.379563f;	val_dir[14000*3 + 2] = -0.133963f;
 	val_dir[14001*3 + 0] = -0.912871f;	val_dir[14001*3 + 1] = -0.365148f;	val_dir[14001*3 + 2] = -0.182574f;
 	val_dir[14002*3 + 0] = -0.907713f;	val_dir[14002*3 + 1] = -0.349121f;	val_dir[14002*3 + 2] = -0.232747f;
 	val_dir[14003*3 + 0] = -0.899676f;	val_dir[14003*3 + 1] = -0.331460f;	val_dir[14003*3 + 2] = -0.284108f;
 	val_dir[14004*3 + 0] = -0.888540f;	val_dir[14004*3 + 1] = -0.312190f;	val_dir[14004*3 + 2] = -0.336204f;
 	val_dir[14005*3 + 0] = -0.874157f;	val_dir[14005*3 + 1] = -0.291386f;	val_dir[14005*3 + 2] = -0.388514f;
 	val_dir[14006*3 + 0] = -0.856465f;	val_dir[14006*3 + 1] = -0.269175f;	val_dir[14006*3 + 2] = -0.440468f;
 	val_dir[14007*3 + 0] = -0.835504f;	val_dir[14007*3 + 1] = -0.245737f;	val_dir[14007*3 + 2] = -0.491473f;
 	val_dir[14008*3 + 0] = -0.811421f;	val_dir[14008*3 + 1] = -0.221297f;	val_dir[14008*3 + 2] = -0.540947f;
 	val_dir[14009*3 + 0] = -0.784465f;	val_dir[14009*3 + 1] = -0.196116f;	val_dir[14009*3 + 2] = -0.588348f;
 	val_dir[14010*3 + 0] = -0.754976f;	val_dir[14010*3 + 1] = -0.170478f;	val_dir[14010*3 + 2] = -0.633205f;
 	val_dir[14011*3 + 0] = -0.723364f;	val_dir[14011*3 + 1] = -0.144673f;	val_dir[14011*3 + 2] = -0.675140f;
 	val_dir[14012*3 + 0] = -0.690085f;	val_dir[14012*3 + 1] = -0.118980f;	val_dir[14012*3 + 2] = -0.713881f;
 	val_dir[14013*3 + 0] = -0.655610f;	val_dir[14013*3 + 1] = -0.093659f;	val_dir[14013*3 + 2] = -0.749269f;
 	val_dir[14014*3 + 0] = -0.620403f;	val_dir[14014*3 + 1] = -0.068934f;	val_dir[14014*3 + 2] = -0.781248f;
 	val_dir[14015*3 + 0] = -0.584898f;	val_dir[14015*3 + 1] = -0.044992f;	val_dir[14015*3 + 2] = -0.809858f;
 	val_dir[14016*3 + 0] = -0.549484f;	val_dir[14016*3 + 1] = -0.021979f;	val_dir[14016*3 + 2] = -0.835215f;
 	val_dir[14017*3 + 0] = -0.514496f;	val_dir[14017*3 + 1] = 0.0f;	val_dir[14017*3 + 2] = -0.857493f;
 	val_dir[14018*3 + 0] = -0.498354f;	val_dir[14018*3 + 1] = 0.021668f;	val_dir[14018*3 + 2] = -0.866703f;
 	val_dir[14019*3 + 0] = -0.481457f;	val_dir[14019*3 + 1] = 0.043769f;	val_dir[14019*3 + 2] = -0.875376f;
 	val_dir[14020*3 + 0] = -0.463812f;	val_dir[14020*3 + 1] = 0.066259f;	val_dir[14020*3 + 2] = -0.883452f;
 	val_dir[14021*3 + 0] = -0.445435f;	val_dir[14021*3 + 1] = 0.089087f;	val_dir[14021*3 + 2] = -0.890871f;
 	val_dir[14022*3 + 0] = -0.426348f;	val_dir[14022*3 + 1] = 0.112197f;	val_dir[14022*3 + 2] = -0.897574f;
 	val_dir[14023*3 + 0] = -0.406579f;	val_dir[14023*3 + 1] = 0.135526f;	val_dir[14023*3 + 2] = -0.903508f;
 	val_dir[14024*3 + 0] = -0.386164f;	val_dir[14024*3 + 1] = 0.159009f;	val_dir[14024*3 + 2] = -0.908622f;
 	val_dir[14025*3 + 0] = -0.365148f;	val_dir[14025*3 + 1] = 0.182574f;	val_dir[14025*3 + 2] = -0.912871f;
 	val_dir[14026*3 + 0] = -0.343582f;	val_dir[14026*3 + 1] = 0.206149f;	val_dir[14026*3 + 2] = -0.916217f;
 	val_dir[14027*3 + 0] = -0.321521f;	val_dir[14027*3 + 1] = 0.229658f;	val_dir[14027*3 + 2] = -0.918630f;
 	val_dir[14028*3 + 0] = -0.299028f;	val_dir[14028*3 + 1] = 0.253024f;	val_dir[14028*3 + 2] = -0.920087f;
 	val_dir[14029*3 + 0] = -0.276172f;	val_dir[14029*3 + 1] = 0.276172f;	val_dir[14029*3 + 2] = -0.920575f;
 	val_dir[14030*3 + 0] = -0.253024f;	val_dir[14030*3 + 1] = 0.299028f;	val_dir[14030*3 + 2] = -0.920087f;
 	val_dir[14031*3 + 0] = -0.229658f;	val_dir[14031*3 + 1] = 0.321521f;	val_dir[14031*3 + 2] = -0.918630f;
 	val_dir[14032*3 + 0] = -0.206149f;	val_dir[14032*3 + 1] = 0.343582f;	val_dir[14032*3 + 2] = -0.916217f;
 	val_dir[14033*3 + 0] = -0.182574f;	val_dir[14033*3 + 1] = 0.365148f;	val_dir[14033*3 + 2] = -0.912871f;
 	val_dir[14034*3 + 0] = -0.159009f;	val_dir[14034*3 + 1] = 0.386164f;	val_dir[14034*3 + 2] = -0.908622f;
 	val_dir[14035*3 + 0] = -0.135526f;	val_dir[14035*3 + 1] = 0.406579f;	val_dir[14035*3 + 2] = -0.903508f;
 	val_dir[14036*3 + 0] = -0.112197f;	val_dir[14036*3 + 1] = 0.426348f;	val_dir[14036*3 + 2] = -0.897574f;
 	val_dir[14037*3 + 0] = -0.089087f;	val_dir[14037*3 + 1] = 0.445435f;	val_dir[14037*3 + 2] = -0.890871f;
 	val_dir[14038*3 + 0] = -0.066259f;	val_dir[14038*3 + 1] = 0.463812f;	val_dir[14038*3 + 2] = -0.883452f;
 	val_dir[14039*3 + 0] = -0.043769f;	val_dir[14039*3 + 1] = 0.481457f;	val_dir[14039*3 + 2] = -0.875376f;
 	val_dir[14040*3 + 0] = -0.021668f;	val_dir[14040*3 + 1] = 0.498354f;	val_dir[14040*3 + 2] = -0.866703f;
 	val_dir[14041*3 + 0] = 0.0f;	val_dir[14041*3 + 1] = 0.514496f;	val_dir[14041*3 + 2] = -0.857493f;
 	val_dir[14042*3 + 0] = 0.021979f;	val_dir[14042*3 + 1] = 0.549484f;	val_dir[14042*3 + 2] = -0.835215f;
 	val_dir[14043*3 + 0] = 0.044992f;	val_dir[14043*3 + 1] = 0.584898f;	val_dir[14043*3 + 2] = -0.809858f;
 	val_dir[14044*3 + 0] = 0.068934f;	val_dir[14044*3 + 1] = 0.620403f;	val_dir[14044*3 + 2] = -0.781248f;
 	val_dir[14045*3 + 0] = 0.093659f;	val_dir[14045*3 + 1] = 0.655610f;	val_dir[14045*3 + 2] = -0.749269f;
 	val_dir[14046*3 + 0] = 0.118980f;	val_dir[14046*3 + 1] = 0.690085f;	val_dir[14046*3 + 2] = -0.713881f;
 	val_dir[14047*3 + 0] = 0.144673f;	val_dir[14047*3 + 1] = 0.723364f;	val_dir[14047*3 + 2] = -0.675140f;
 	val_dir[14048*3 + 0] = 0.170478f;	val_dir[14048*3 + 1] = 0.754976f;	val_dir[14048*3 + 2] = -0.633205f;
 	val_dir[14049*3 + 0] = 0.196116f;	val_dir[14049*3 + 1] = 0.784465f;	val_dir[14049*3 + 2] = -0.588348f;
 	val_dir[14050*3 + 0] = 0.221297f;	val_dir[14050*3 + 1] = 0.811421f;	val_dir[14050*3 + 2] = -0.540947f;
 	val_dir[14051*3 + 0] = 0.245737f;	val_dir[14051*3 + 1] = 0.835504f;	val_dir[14051*3 + 2] = -0.491473f;
 	val_dir[14052*3 + 0] = 0.269175f;	val_dir[14052*3 + 1] = 0.856465f;	val_dir[14052*3 + 2] = -0.440468f;
 	val_dir[14053*3 + 0] = 0.291386f;	val_dir[14053*3 + 1] = 0.874157f;	val_dir[14053*3 + 2] = -0.388514f;
 	val_dir[14054*3 + 0] = 0.312190f;	val_dir[14054*3 + 1] = 0.888540f;	val_dir[14054*3 + 2] = -0.336204f;
 	val_dir[14055*3 + 0] = 0.331460f;	val_dir[14055*3 + 1] = 0.899676f;	val_dir[14055*3 + 2] = -0.284108f;
 	val_dir[14056*3 + 0] = 0.349121f;	val_dir[14056*3 + 1] = 0.907713f;	val_dir[14056*3 + 2] = -0.232747f;
 	val_dir[14057*3 + 0] = 0.365148f;	val_dir[14057*3 + 1] = 0.912871f;	val_dir[14057*3 + 2] = -0.182574f;
 	val_dir[14058*3 + 0] = 0.379563f;	val_dir[14058*3 + 1] = 0.915416f;	val_dir[14058*3 + 2] = -0.133963f;
 	val_dir[14059*3 + 0] = 0.392419f;	val_dir[14059*3 + 1] = 0.915644f;	val_dir[14059*3 + 2] = -0.087204f;
 	val_dir[14060*3 + 0] = 0.403799f;	val_dir[14060*3 + 1] = 0.913860f;	val_dir[14060*3 + 2] = -0.042505f;
 	val_dir[14061*3 + 0] = 0.413803f;	val_dir[14061*3 + 1] = 0.910366f;	val_dir[14061*3 + 2] = 0.0f;
 	val_dir[14062*3 + 0] = -0.917863f;	val_dir[14062*3 + 1] = -0.396350f;	val_dir[14062*3 + 2] = -0.020861f;
 	val_dir[14063*3 + 0] = -0.920537f;	val_dir[14063*3 + 1] = -0.385341f;	val_dir[14063*3 + 2] = -0.064223f;
 	val_dir[14064*3 + 0] = -0.921354f;	val_dir[14064*3 + 1] = -0.372929f;	val_dir[14064*3 + 2] = -0.109685f;
 	val_dir[14065*3 + 0] = -0.920014f;	val_dir[14065*3 + 1] = -0.359030f;	val_dir[14065*3 + 2] = -0.157075f;
 	val_dir[14066*3 + 0] = -0.916217f;	val_dir[14066*3 + 1] = -0.343582f;	val_dir[14066*3 + 2] = -0.206149f;
 	val_dir[14067*3 + 0] = -0.909687f;	val_dir[14067*3 + 1] = -0.326554f;	val_dir[14067*3 + 2] = -0.256578f;
 	val_dir[14068*3 + 0] = -0.900181f;	val_dir[14068*3 + 1] = -0.307957f;	val_dir[14068*3 + 2] = -0.307957f;
 	val_dir[14069*3 + 0] = -0.887517f;	val_dir[14069*3 + 1] = -0.287843f;	val_dir[14069*3 + 2] = -0.359804f;
 	val_dir[14070*3 + 0] = -0.871592f;	val_dir[14070*3 + 1] = -0.266320f;	val_dir[14070*3 + 2] = -0.411585f;
 	val_dir[14071*3 + 0] = -0.852392f;	val_dir[14071*3 + 1] = -0.243541f;	val_dir[14071*3 + 2] = -0.462727f;
 	val_dir[14072*3 + 0] = -0.830009f;	val_dir[14072*3 + 1] = -0.219708f;	val_dir[14072*3 + 2] = -0.512653f;
 	val_dir[14073*3 + 0] = -0.804639f;	val_dir[14073*3 + 1] = -0.195064f;	val_dir[14073*3 + 2] = -0.560809f;
 	val_dir[14074*3 + 0] = -0.776571f;	val_dir[14074*3 + 1] = -0.169875f;	val_dir[14074*3 + 2] = -0.606696f;
 	val_dir[14075*3 + 0] = -0.746176f;	val_dir[14075*3 + 1] = -0.144421f;	val_dir[14075*3 + 2] = -0.649895f;
 	val_dir[14076*3 + 0] = -0.713881f;	val_dir[14076*3 + 1] = -0.118980f;	val_dir[14076*3 + 2] = -0.690085f;
 	val_dir[14077*3 + 0] = -0.680144f;	val_dir[14077*3 + 1] = -0.093813f;	val_dir[14077*3 + 2] = -0.727051f;
 	val_dir[14078*3 + 0] = -0.645429f;	val_dir[14078*3 + 1] = -0.069153f;	val_dir[14078*3 + 2] = -0.760684f;
 	val_dir[14079*3 + 0] = -0.610179f;	val_dir[14079*3 + 1] = -0.045198f;	val_dir[14079*3 + 2] = -0.790973f;
 	val_dir[14080*3 + 0] = -0.574805f;	val_dir[14080*3 + 1] = -0.022108f;	val_dir[14080*3 + 2] = -0.817992f;
 	val_dir[14081*3 + 0] = -0.539666f;	val_dir[14081*3 + 1] = 0.0f;	val_dir[14081*3 + 2] = -0.841879f;
 	val_dir[14082*3 + 0] = -0.523973f;	val_dir[14082*3 + 1] = 0.021832f;	val_dir[14082*3 + 2] = -0.851455f;
 	val_dir[14083*3 + 0] = -0.507490f;	val_dir[14083*3 + 1] = 0.044130f;	val_dir[14083*3 + 2] = -0.860527f;
 	val_dir[14084*3 + 0] = -0.490222f;	val_dir[14084*3 + 1] = 0.066848f;	val_dir[14084*3 + 2] = -0.869030f;
 	val_dir[14085*3 + 0] = -0.472178f;	val_dir[14085*3 + 1] = 0.089939f;	val_dir[14085*3 + 2] = -0.876903f;
 	val_dir[14086*3 + 0] = -0.453376f;	val_dir[14086*3 + 1] = 0.113344f;	val_dir[14086*3 + 2] = -0.884083f;
 	val_dir[14087*3 + 0] = -0.433840f;	val_dir[14087*3 + 1] = 0.137002f;	val_dir[14087*3 + 2] = -0.890513f;
 	val_dir[14088*3 + 0] = -0.413602f;	val_dir[14088*3 + 1] = 0.160845f;	val_dir[14088*3 + 2] = -0.896137f;
 	val_dir[14089*3 + 0] = -0.392703f;	val_dir[14089*3 + 1] = 0.184801f;	val_dir[14089*3 + 2] = -0.900907f;
 	val_dir[14090*3 + 0] = -0.371191f;	val_dir[14090*3 + 1] = 0.208795f;	val_dir[14090*3 + 2] = -0.904777f;
 	val_dir[14091*3 + 0] = -0.349121f;	val_dir[14091*3 + 1] = 0.232747f;	val_dir[14091*3 + 2] = -0.907713f;
 	val_dir[14092*3 + 0] = -0.326554f;	val_dir[14092*3 + 1] = 0.256578f;	val_dir[14092*3 + 2] = -0.909687f;
 	val_dir[14093*3 + 0] = -0.303559f;	val_dir[14093*3 + 1] = 0.280209f;	val_dir[14093*3 + 2] = -0.910678f;
 	val_dir[14094*3 + 0] = -0.280209f;	val_dir[14094*3 + 1] = 0.303559f;	val_dir[14094*3 + 2] = -0.910678f;
 	val_dir[14095*3 + 0] = -0.256578f;	val_dir[14095*3 + 1] = 0.326554f;	val_dir[14095*3 + 2] = -0.909687f;
 	val_dir[14096*3 + 0] = -0.232747f;	val_dir[14096*3 + 1] = 0.349121f;	val_dir[14096*3 + 2] = -0.907713f;
 	val_dir[14097*3 + 0] = -0.208795f;	val_dir[14097*3 + 1] = 0.371191f;	val_dir[14097*3 + 2] = -0.904777f;
 	val_dir[14098*3 + 0] = -0.184801f;	val_dir[14098*3 + 1] = 0.392703f;	val_dir[14098*3 + 2] = -0.900907f;
 	val_dir[14099*3 + 0] = -0.160845f;	val_dir[14099*3 + 1] = 0.413602f;	val_dir[14099*3 + 2] = -0.896137f;
 	val_dir[14100*3 + 0] = -0.137002f;	val_dir[14100*3 + 1] = 0.433840f;	val_dir[14100*3 + 2] = -0.890513f;
 	val_dir[14101*3 + 0] = -0.113344f;	val_dir[14101*3 + 1] = 0.453376f;	val_dir[14101*3 + 2] = -0.884083f;
 	val_dir[14102*3 + 0] = -0.089939f;	val_dir[14102*3 + 1] = 0.472178f;	val_dir[14102*3 + 2] = -0.876903f;
 	val_dir[14103*3 + 0] = -0.066848f;	val_dir[14103*3 + 1] = 0.490222f;	val_dir[14103*3 + 2] = -0.869030f;
 	val_dir[14104*3 + 0] = -0.044130f;	val_dir[14104*3 + 1] = 0.507490f;	val_dir[14104*3 + 2] = -0.860527f;
 	val_dir[14105*3 + 0] = -0.021832f;	val_dir[14105*3 + 1] = 0.523973f;	val_dir[14105*3 + 2] = -0.851455f;
 	val_dir[14106*3 + 0] = 0.0f;	val_dir[14106*3 + 1] = 0.539666f;	val_dir[14106*3 + 2] = -0.841879f;
 	val_dir[14107*3 + 0] = 0.022108f;	val_dir[14107*3 + 1] = 0.574805f;	val_dir[14107*3 + 2] = -0.817992f;
 	val_dir[14108*3 + 0] = 0.045198f;	val_dir[14108*3 + 1] = 0.610179f;	val_dir[14108*3 + 2] = -0.790973f;
 	val_dir[14109*3 + 0] = 0.069153f;	val_dir[14109*3 + 1] = 0.645429f;	val_dir[14109*3 + 2] = -0.760684f;
 	val_dir[14110*3 + 0] = 0.093813f;	val_dir[14110*3 + 1] = 0.680144f;	val_dir[14110*3 + 2] = -0.727051f;
 	val_dir[14111*3 + 0] = 0.118980f;	val_dir[14111*3 + 1] = 0.713881f;	val_dir[14111*3 + 2] = -0.690085f;
 	val_dir[14112*3 + 0] = 0.144421f;	val_dir[14112*3 + 1] = 0.746176f;	val_dir[14112*3 + 2] = -0.649895f;
 	val_dir[14113*3 + 0] = 0.169875f;	val_dir[14113*3 + 1] = 0.776571f;	val_dir[14113*3 + 2] = -0.606696f;
 	val_dir[14114*3 + 0] = 0.195064f;	val_dir[14114*3 + 1] = 0.804639f;	val_dir[14114*3 + 2] = -0.560809f;
 	val_dir[14115*3 + 0] = 0.219708f;	val_dir[14115*3 + 1] = 0.830009f;	val_dir[14115*3 + 2] = -0.512653f;
 	val_dir[14116*3 + 0] = 0.243541f;	val_dir[14116*3 + 1] = 0.852392f;	val_dir[14116*3 + 2] = -0.462727f;
 	val_dir[14117*3 + 0] = 0.266320f;	val_dir[14117*3 + 1] = 0.871592f;	val_dir[14117*3 + 2] = -0.411585f;
 	val_dir[14118*3 + 0] = 0.287843f;	val_dir[14118*3 + 1] = 0.887517f;	val_dir[14118*3 + 2] = -0.359804f;
 	val_dir[14119*3 + 0] = 0.307957f;	val_dir[14119*3 + 1] = 0.900181f;	val_dir[14119*3 + 2] = -0.307957f;
 	val_dir[14120*3 + 0] = 0.326554f;	val_dir[14120*3 + 1] = 0.909687f;	val_dir[14120*3 + 2] = -0.256578f;
 	val_dir[14121*3 + 0] = 0.343582f;	val_dir[14121*3 + 1] = 0.916217f;	val_dir[14121*3 + 2] = -0.206149f;
 	val_dir[14122*3 + 0] = 0.359030f;	val_dir[14122*3 + 1] = 0.920014f;	val_dir[14122*3 + 2] = -0.157075f;
 	val_dir[14123*3 + 0] = 0.372929f;	val_dir[14123*3 + 1] = 0.921354f;	val_dir[14123*3 + 2] = -0.109685f;
 	val_dir[14124*3 + 0] = 0.385341f;	val_dir[14124*3 + 1] = 0.920537f;	val_dir[14124*3 + 2] = -0.064223f;
 	val_dir[14125*3 + 0] = 0.396350f;	val_dir[14125*3 + 1] = 0.917863f;	val_dir[14125*3 + 2] = -0.020861f;
 	val_dir[14126*3 + 0] = -0.921250f;	val_dir[14126*3 + 1] = -0.388972f;	val_dir[14126*3 + 2] = 0.0f;
 	val_dir[14127*3 + 0] = -0.924729f;	val_dir[14127*3 + 1] = -0.378298f;	val_dir[14127*3 + 2] = -0.042033f;
 	val_dir[14128*3 + 0] = -0.92650f;	val_dir[14128*3 + 1] = -0.366291f;	val_dir[14128*3 + 2] = -0.086186f;
 	val_dir[14129*3 + 0] = -0.926270f;	val_dir[14129*3 + 1] = -0.352865f;	val_dir[14129*3 + 2] = -0.132324f;
 	val_dir[14130*3 + 0] = -0.923742f;	val_dir[14130*3 + 1] = -0.337954f;	val_dir[14130*3 + 2] = -0.180242f;
 	val_dir[14131*3 + 0] = -0.918630f;	val_dir[14131*3 + 1] = -0.321521f;	val_dir[14131*3 + 2] = -0.229658f;
 	val_dir[14132*3 + 0] = -0.910678f;	val_dir[14132*3 + 1] = -0.303559f;	val_dir[14132*3 + 2] = -0.280209f;
 	val_dir[14133*3 + 0] = -0.899676f;	val_dir[14133*3 + 1] = -0.284108f;	val_dir[14133*3 + 2] = -0.331460f;
 	val_dir[14134*3 + 0] = -0.885482f;	val_dir[14134*3 + 1] = -0.263251f;	val_dir[14134*3 + 2] = -0.382911f;
 	val_dir[14135*3 + 0] = -0.868037f;	val_dir[14135*3 + 1] = -0.241121f;	val_dir[14135*3 + 2] = -0.434019f;
 	val_dir[14136*3 + 0] = -0.847381f;	val_dir[14136*3 + 1] = -0.217898f;	val_dir[14136*3 + 2] = -0.484217f;
 	val_dir[14137*3 + 0] = -0.823653f;	val_dir[14137*3 + 1] = -0.193801f;	val_dir[14137*3 + 2] = -0.532952f;
 	val_dir[14138*3 + 0] = -0.797092f;	val_dir[14138*3 + 1] = -0.169080f;	val_dir[14138*3 + 2] = -0.579703f;
 	val_dir[14139*3 + 0] = -0.768025f;	val_dir[14139*3 + 1] = -0.144005f;	val_dir[14139*3 + 2] = -0.624020f;
 	val_dir[14140*3 + 0] = -0.736843f;	val_dir[14140*3 + 1] = -0.118846f;	val_dir[14140*3 + 2] = -0.665536f;
 	val_dir[14141*3 + 0] = -0.703985f;	val_dir[14141*3 + 1] = -0.093865f;	val_dir[14141*3 + 2] = -0.703985f;
 	val_dir[14142*3 + 0] = -0.669905f;	val_dir[14142*3 + 1] = -0.069301f;	val_dir[14142*3 + 2] = -0.739205f;
 	val_dir[14143*3 + 0] = -0.635053f;	val_dir[14143*3 + 1] = -0.045361f;	val_dir[14143*3 + 2] = -0.771136f;
 	val_dir[14144*3 + 0] = -0.599852f;	val_dir[14144*3 + 1] = -0.022217f;	val_dir[14144*3 + 2] = -0.799803f;
 	val_dir[14145*3 + 0] = -0.564684f;	val_dir[14145*3 + 1] = 0.0f;	val_dir[14145*3 + 2] = -0.825307f;
 	val_dir[14146*3 + 0] = -0.549484f;	val_dir[14146*3 + 1] = 0.021979f;	val_dir[14146*3 + 2] = -0.835215f;
 	val_dir[14147*3 + 0] = -0.533465f;	val_dir[14147*3 + 1] = 0.044455f;	val_dir[14147*3 + 2] = -0.844653f;
 	val_dir[14148*3 + 0] = -0.516626f;	val_dir[14148*3 + 1] = 0.067386f;	val_dir[14148*3 + 2] = -0.853556f;
 	val_dir[14149*3 + 0] = -0.498970f;	val_dir[14149*3 + 1] = 0.090722f;	val_dir[14149*3 + 2] = -0.861857f;
 	val_dir[14150*3 + 0] = -0.480510f;	val_dir[14150*3 + 1] = 0.114407f;	val_dir[14150*3 + 2] = -0.869495f;
 	val_dir[14151*3 + 0] = -0.461266f;	val_dir[14151*3 + 1] = 0.138380f;	val_dir[14151*3 + 2] = -0.876405f;
 	val_dir[14152*3 + 0] = -0.441264f;	val_dir[14152*3 + 1] = 0.162571f;	val_dir[14152*3 + 2] = -0.882528f;
 	val_dir[14153*3 + 0] = -0.420542f;	val_dir[14153*3 + 1] = 0.186908f;	val_dir[14153*3 + 2] = -0.887812f;
 	val_dir[14154*3 + 0] = -0.399145f;	val_dir[14154*3 + 1] = 0.211312f;	val_dir[14154*3 + 2] = -0.892206f;
 	val_dir[14155*3 + 0] = -0.377124f;	val_dir[14155*3 + 1] = 0.235702f;	val_dir[14155*3 + 2] = -0.895669f;
 	val_dir[14156*3 + 0] = -0.354540f;	val_dir[14156*3 + 1] = 0.259996f;	val_dir[14156*3 + 2] = -0.898167f;
 	val_dir[14157*3 + 0] = -0.331460f;	val_dir[14157*3 + 1] = 0.284108f;	val_dir[14157*3 + 2] = -0.899676f;
 	val_dir[14158*3 + 0] = -0.307957f;	val_dir[14158*3 + 1] = 0.307957f;	val_dir[14158*3 + 2] = -0.900181f;
 	val_dir[14159*3 + 0] = -0.284108f;	val_dir[14159*3 + 1] = 0.331460f;	val_dir[14159*3 + 2] = -0.899676f;
 	val_dir[14160*3 + 0] = -0.259996f;	val_dir[14160*3 + 1] = 0.354540f;	val_dir[14160*3 + 2] = -0.898167f;
 	val_dir[14161*3 + 0] = -0.235702f;	val_dir[14161*3 + 1] = 0.377124f;	val_dir[14161*3 + 2] = -0.895669f;
 	val_dir[14162*3 + 0] = -0.211312f;	val_dir[14162*3 + 1] = 0.399145f;	val_dir[14162*3 + 2] = -0.892206f;
 	val_dir[14163*3 + 0] = -0.186908f;	val_dir[14163*3 + 1] = 0.420542f;	val_dir[14163*3 + 2] = -0.887812f;
 	val_dir[14164*3 + 0] = -0.162571f;	val_dir[14164*3 + 1] = 0.441264f;	val_dir[14164*3 + 2] = -0.882528f;
 	val_dir[14165*3 + 0] = -0.138380f;	val_dir[14165*3 + 1] = 0.461266f;	val_dir[14165*3 + 2] = -0.876405f;
 	val_dir[14166*3 + 0] = -0.114407f;	val_dir[14166*3 + 1] = 0.480510f;	val_dir[14166*3 + 2] = -0.869495f;
 	val_dir[14167*3 + 0] = -0.090722f;	val_dir[14167*3 + 1] = 0.498970f;	val_dir[14167*3 + 2] = -0.861857f;
 	val_dir[14168*3 + 0] = -0.067386f;	val_dir[14168*3 + 1] = 0.516626f;	val_dir[14168*3 + 2] = -0.853556f;
 	val_dir[14169*3 + 0] = -0.044455f;	val_dir[14169*3 + 1] = 0.533465f;	val_dir[14169*3 + 2] = -0.844653f;
 	val_dir[14170*3 + 0] = -0.021979f;	val_dir[14170*3 + 1] = 0.549484f;	val_dir[14170*3 + 2] = -0.835215f;
 	val_dir[14171*3 + 0] = 0.0f;	val_dir[14171*3 + 1] = 0.564684f;	val_dir[14171*3 + 2] = -0.825307f;
 	val_dir[14172*3 + 0] = 0.022217f;	val_dir[14172*3 + 1] = 0.599852f;	val_dir[14172*3 + 2] = -0.799803f;
 	val_dir[14173*3 + 0] = 0.045361f;	val_dir[14173*3 + 1] = 0.635053f;	val_dir[14173*3 + 2] = -0.771136f;
 	val_dir[14174*3 + 0] = 0.069301f;	val_dir[14174*3 + 1] = 0.669905f;	val_dir[14174*3 + 2] = -0.739205f;
 	val_dir[14175*3 + 0] = 0.093865f;	val_dir[14175*3 + 1] = 0.703985f;	val_dir[14175*3 + 2] = -0.703985f;
 	val_dir[14176*3 + 0] = 0.118846f;	val_dir[14176*3 + 1] = 0.736843f;	val_dir[14176*3 + 2] = -0.665536f;
 	val_dir[14177*3 + 0] = 0.144005f;	val_dir[14177*3 + 1] = 0.768025f;	val_dir[14177*3 + 2] = -0.624020f;
 	val_dir[14178*3 + 0] = 0.169080f;	val_dir[14178*3 + 1] = 0.797092f;	val_dir[14178*3 + 2] = -0.579703f;
 	val_dir[14179*3 + 0] = 0.193801f;	val_dir[14179*3 + 1] = 0.823653f;	val_dir[14179*3 + 2] = -0.532952f;
 	val_dir[14180*3 + 0] = 0.217898f;	val_dir[14180*3 + 1] = 0.847381f;	val_dir[14180*3 + 2] = -0.484217f;
 	val_dir[14181*3 + 0] = 0.241121f;	val_dir[14181*3 + 1] = 0.868037f;	val_dir[14181*3 + 2] = -0.434019f;
 	val_dir[14182*3 + 0] = 0.263251f;	val_dir[14182*3 + 1] = 0.885482f;	val_dir[14182*3 + 2] = -0.382911f;
 	val_dir[14183*3 + 0] = 0.284108f;	val_dir[14183*3 + 1] = 0.899676f;	val_dir[14183*3 + 2] = -0.331460f;
 	val_dir[14184*3 + 0] = 0.303559f;	val_dir[14184*3 + 1] = 0.910678f;	val_dir[14184*3 + 2] = -0.280209f;
 	val_dir[14185*3 + 0] = 0.321521f;	val_dir[14185*3 + 1] = 0.918630f;	val_dir[14185*3 + 2] = -0.229658f;
 	val_dir[14186*3 + 0] = 0.337954f;	val_dir[14186*3 + 1] = 0.923742f;	val_dir[14186*3 + 2] = -0.180242f;
 	val_dir[14187*3 + 0] = 0.352865f;	val_dir[14187*3 + 1] = 0.926270f;	val_dir[14187*3 + 2] = -0.132324f;
 	val_dir[14188*3 + 0] = 0.366291f;	val_dir[14188*3 + 1] = 0.92650f;	val_dir[14188*3 + 2] = -0.086186f;
 	val_dir[14189*3 + 0] = 0.378298f;	val_dir[14189*3 + 1] = 0.924729f;	val_dir[14189*3 + 2] = -0.042033f;
 	val_dir[14190*3 + 0] = 0.388972f;	val_dir[14190*3 + 1] = 0.921250f;	val_dir[14190*3 + 2] = 0.0f;
 	val_dir[14191*3 + 0] = -0.928279f;	val_dir[14191*3 + 1] = -0.371312f;	val_dir[14191*3 + 2] = -0.020628f;
 	val_dir[14192*3 + 0] = -0.930917f;	val_dir[14192*3 + 1] = -0.359673f;	val_dir[14192*3 + 2] = -0.063472f;
 	val_dir[14193*3 + 0] = -0.931705f;	val_dir[14193*3 + 1] = -0.346681f;	val_dir[14193*3 + 2] = -0.108338f;
 	val_dir[14194*3 + 0] = -0.930352f;	val_dir[14194*3 + 1] = -0.332269f;	val_dir[14194*3 + 2] = -0.155059f;
 	val_dir[14195*3 + 0] = -0.926568f;	val_dir[14195*3 + 1] = -0.316389f;	val_dir[14195*3 + 2] = -0.203393f;
 	val_dir[14196*3 + 0] = -0.920087f;	val_dir[14196*3 + 1] = -0.299028f;	val_dir[14196*3 + 2] = -0.253024f;
 	val_dir[14197*3 + 0] = -0.910678f;	val_dir[14197*3 + 1] = -0.280209f;	val_dir[14197*3 + 2] = -0.303559f;
 	val_dir[14198*3 + 0] = -0.898167f;	val_dir[14198*3 + 1] = -0.259996f;	val_dir[14198*3 + 2] = -0.354540f;
 	val_dir[14199*3 + 0] = -0.882454f;	val_dir[14199*3 + 1] = -0.238501f;	val_dir[14199*3 + 2] = -0.405452f;
 	val_dir[14200*3 + 0] = -0.863530f;	val_dir[14200*3 + 1] = -0.215883f;	val_dir[14200*3 + 2] = -0.455752f;
 	val_dir[14201*3 + 0] = -0.841482f;	val_dir[14201*3 + 1] = -0.192339f;	val_dir[14201*3 + 2] = -0.504889f;
 	val_dir[14202*3 + 0] = -0.816497f;	val_dir[14202*3 + 1] = -0.168102f;	val_dir[14202*3 + 2] = -0.552336f;
 	val_dir[14203*3 + 0] = -0.788851f;	val_dir[14203*3 + 1] = -0.143427f;	val_dir[14203*3 + 2] = -0.597614f;
 	val_dir[14204*3 + 0] = -0.758899f;	val_dir[14204*3 + 1] = -0.118578f;	val_dir[14204*3 + 2] = -0.640321f;
 	val_dir[14205*3 + 0] = -0.727051f;	val_dir[14205*3 + 1] = -0.093813f;	val_dir[14205*3 + 2] = -0.680144f;
 	val_dir[14206*3 + 0] = -0.693746f;	val_dir[14206*3 + 1] = -0.069375f;	val_dir[14206*3 + 2] = -0.716871f;
 	val_dir[14207*3 + 0] = -0.659432f;	val_dir[14207*3 + 1] = -0.045478f;	val_dir[14207*3 + 2] = -0.750388f;
 	val_dir[14208*3 + 0] = -0.624540f;	val_dir[14208*3 + 1] = -0.022305f;	val_dir[14208*3 + 2] = -0.780675f;
 	val_dir[14209*3 + 0] = -0.589469f;	val_dir[14209*3 + 1] = 0.0f;	val_dir[14209*3 + 2] = -0.807791f;
 	val_dir[14210*3 + 0] = -0.574805f;	val_dir[14210*3 + 1] = 0.022108f;	val_dir[14210*3 + 2] = -0.817992f;
 	val_dir[14211*3 + 0] = -0.559297f;	val_dir[14211*3 + 1] = 0.044744f;	val_dir[14211*3 + 2] = -0.827759f;
 	val_dir[14212*3 + 0] = -0.542936f;	val_dir[14212*3 + 1] = 0.067867f;	val_dir[14212*3 + 2] = -0.837027f;
 	val_dir[14213*3 + 0] = -0.525723f;	val_dir[14213*3 + 1] = 0.091430f;	val_dir[14213*3 + 2] = -0.845728f;
 	val_dir[14214*3 + 0] = -0.507662f;	val_dir[14214*3 + 1] = 0.115378f;	val_dir[14214*3 + 2] = -0.853796f;
 	val_dir[14215*3 + 0] = -0.488769f;	val_dir[14215*3 + 1] = 0.139648f;	val_dir[14215*3 + 2] = -0.861164f;
 	val_dir[14216*3 + 0] = -0.469065f;	val_dir[14216*3 + 1] = 0.164173f;	val_dir[14216*3 + 2] = -0.867770f;
 	val_dir[14217*3 + 0] = -0.448583f;	val_dir[14217*3 + 1] = 0.188877f;	val_dir[14217*3 + 2] = -0.873555f;
 	val_dir[14218*3 + 0] = -0.427362f;	val_dir[14218*3 + 1] = 0.213681f;	val_dir[14218*3 + 2] = -0.878466f;
 	val_dir[14219*3 + 0] = -0.405452f;	val_dir[14219*3 + 1] = 0.238501f;	val_dir[14219*3 + 2] = -0.882454f;
 	val_dir[14220*3 + 0] = -0.382911f;	val_dir[14220*3 + 1] = 0.263251f;	val_dir[14220*3 + 2] = -0.885482f;
 	val_dir[14221*3 + 0] = -0.359804f;	val_dir[14221*3 + 1] = 0.287843f;	val_dir[14221*3 + 2] = -0.887517f;
 	val_dir[14222*3 + 0] = -0.336204f;	val_dir[14222*3 + 1] = 0.312190f;	val_dir[14222*3 + 2] = -0.888540f;
 	val_dir[14223*3 + 0] = -0.312190f;	val_dir[14223*3 + 1] = 0.336204f;	val_dir[14223*3 + 2] = -0.888540f;
 	val_dir[14224*3 + 0] = -0.287843f;	val_dir[14224*3 + 1] = 0.359804f;	val_dir[14224*3 + 2] = -0.887517f;
 	val_dir[14225*3 + 0] = -0.263251f;	val_dir[14225*3 + 1] = 0.382911f;	val_dir[14225*3 + 2] = -0.885482f;
 	val_dir[14226*3 + 0] = -0.238501f;	val_dir[14226*3 + 1] = 0.405452f;	val_dir[14226*3 + 2] = -0.882454f;
 	val_dir[14227*3 + 0] = -0.213681f;	val_dir[14227*3 + 1] = 0.427362f;	val_dir[14227*3 + 2] = -0.878466f;
 	val_dir[14228*3 + 0] = -0.188877f;	val_dir[14228*3 + 1] = 0.448583f;	val_dir[14228*3 + 2] = -0.873555f;
 	val_dir[14229*3 + 0] = -0.164173f;	val_dir[14229*3 + 1] = 0.469065f;	val_dir[14229*3 + 2] = -0.867770f;
 	val_dir[14230*3 + 0] = -0.139648f;	val_dir[14230*3 + 1] = 0.488769f;	val_dir[14230*3 + 2] = -0.861164f;
 	val_dir[14231*3 + 0] = -0.115378f;	val_dir[14231*3 + 1] = 0.507662f;	val_dir[14231*3 + 2] = -0.853796f;
 	val_dir[14232*3 + 0] = -0.091430f;	val_dir[14232*3 + 1] = 0.525723f;	val_dir[14232*3 + 2] = -0.845728f;
 	val_dir[14233*3 + 0] = -0.067867f;	val_dir[14233*3 + 1] = 0.542936f;	val_dir[14233*3 + 2] = -0.837027f;
 	val_dir[14234*3 + 0] = -0.044744f;	val_dir[14234*3 + 1] = 0.559297f;	val_dir[14234*3 + 2] = -0.827759f;
 	val_dir[14235*3 + 0] = -0.022108f;	val_dir[14235*3 + 1] = 0.574805f;	val_dir[14235*3 + 2] = -0.817992f;
 	val_dir[14236*3 + 0] = 0.0f;	val_dir[14236*3 + 1] = 0.589469f;	val_dir[14236*3 + 2] = -0.807791f;
 	val_dir[14237*3 + 0] = 0.022305f;	val_dir[14237*3 + 1] = 0.624540f;	val_dir[14237*3 + 2] = -0.780675f;
 	val_dir[14238*3 + 0] = 0.045478f;	val_dir[14238*3 + 1] = 0.659432f;	val_dir[14238*3 + 2] = -0.750388f;
 	val_dir[14239*3 + 0] = 0.069375f;	val_dir[14239*3 + 1] = 0.693746f;	val_dir[14239*3 + 2] = -0.716871f;
 	val_dir[14240*3 + 0] = 0.093813f;	val_dir[14240*3 + 1] = 0.727051f;	val_dir[14240*3 + 2] = -0.680144f;
 	val_dir[14241*3 + 0] = 0.118578f;	val_dir[14241*3 + 1] = 0.758899f;	val_dir[14241*3 + 2] = -0.640321f;
 	val_dir[14242*3 + 0] = 0.143427f;	val_dir[14242*3 + 1] = 0.788851f;	val_dir[14242*3 + 2] = -0.597614f;
 	val_dir[14243*3 + 0] = 0.168102f;	val_dir[14243*3 + 1] = 0.816497f;	val_dir[14243*3 + 2] = -0.552336f;
 	val_dir[14244*3 + 0] = 0.192339f;	val_dir[14244*3 + 1] = 0.841482f;	val_dir[14244*3 + 2] = -0.504889f;
 	val_dir[14245*3 + 0] = 0.215883f;	val_dir[14245*3 + 1] = 0.863530f;	val_dir[14245*3 + 2] = -0.455752f;
 	val_dir[14246*3 + 0] = 0.238501f;	val_dir[14246*3 + 1] = 0.882454f;	val_dir[14246*3 + 2] = -0.405452f;
 	val_dir[14247*3 + 0] = 0.259996f;	val_dir[14247*3 + 1] = 0.898167f;	val_dir[14247*3 + 2] = -0.354540f;
 	val_dir[14248*3 + 0] = 0.280209f;	val_dir[14248*3 + 1] = 0.910678f;	val_dir[14248*3 + 2] = -0.303559f;
 	val_dir[14249*3 + 0] = 0.299028f;	val_dir[14249*3 + 1] = 0.920087f;	val_dir[14249*3 + 2] = -0.253024f;
 	val_dir[14250*3 + 0] = 0.316389f;	val_dir[14250*3 + 1] = 0.926568f;	val_dir[14250*3 + 2] = -0.203393f;
 	val_dir[14251*3 + 0] = 0.332269f;	val_dir[14251*3 + 1] = 0.930352f;	val_dir[14251*3 + 2] = -0.155059f;
 	val_dir[14252*3 + 0] = 0.346681f;	val_dir[14252*3 + 1] = 0.931705f;	val_dir[14252*3 + 2] = -0.108338f;
 	val_dir[14253*3 + 0] = 0.359673f;	val_dir[14253*3 + 1] = 0.930917f;	val_dir[14253*3 + 2] = -0.063472f;
 	val_dir[14254*3 + 0] = 0.371312f;	val_dir[14254*3 + 1] = 0.928279f;	val_dir[14254*3 + 2] = -0.020628f;
 	val_dir[14255*3 + 0] = -0.931243f;	val_dir[14255*3 + 1] = -0.364399f;	val_dir[14255*3 + 2] = 0.0f;
 	val_dir[14256*3 + 0] = -0.934665f;	val_dir[14256*3 + 1] = -0.353096f;	val_dir[14256*3 + 2] = -0.041541f;
 	val_dir[14257*3 + 0] = -0.936382f;	val_dir[14257*3 + 1] = -0.340503f;	val_dir[14257*3 + 2] = -0.085126f;
 	val_dir[14258*3 + 0] = -0.936111f;	val_dir[14258*3 + 1] = -0.326550f;	val_dir[14258*3 + 2] = -0.130620f;
 	val_dir[14259*3 + 0] = -0.933564f;	val_dir[14259*3 + 1] = -0.311188f;	val_dir[14259*3 + 2] = -0.177822f;
 	val_dir[14260*3 + 0] = -0.928467f;	val_dir[14260*3 + 1] = -0.294392f;	val_dir[14260*3 + 2] = -0.226455f;
 	val_dir[14261*3 + 0] = -0.920575f;	val_dir[14261*3 + 1] = -0.276172f;	val_dir[14261*3 + 2] = -0.276172f;
 	val_dir[14262*3 + 0] = -0.909687f;	val_dir[14262*3 + 1] = -0.256578f;	val_dir[14262*3 + 2] = -0.326554f;
 	val_dir[14263*3 + 0] = -0.895669f;	val_dir[14263*3 + 1] = -0.235702f;	val_dir[14263*3 + 2] = -0.377124f;
 	val_dir[14264*3 + 0] = -0.878466f;	val_dir[14264*3 + 1] = -0.213681f;	val_dir[14264*3 + 2] = -0.427362f;
 	val_dir[14265*3 + 0] = -0.858116f;	val_dir[14265*3 + 1] = -0.190693f;	val_dir[14265*3 + 2] = -0.476731f;
 	val_dir[14266*3 + 0] = -0.834754f;	val_dir[14266*3 + 1] = -0.166951f;	val_dir[14266*3 + 2] = -0.524703f;
 	val_dir[14267*3 + 0] = -0.808608f;	val_dir[14267*3 + 1] = -0.142695f;	val_dir[14267*3 + 2] = -0.570782f;
 	val_dir[14268*3 + 0] = -0.779987f;	val_dir[14268*3 + 1] = -0.118180f;	val_dir[14268*3 + 2] = -0.614535f;
 	val_dir[14269*3 + 0] = -0.749269f;	val_dir[14269*3 + 1] = -0.093659f;	val_dir[14269*3 + 2] = -0.655610f;
 	val_dir[14270*3 + 0] = -0.716871f;	val_dir[14270*3 + 1] = -0.069375f;	val_dir[14270*3 + 2] = -0.693746f;
 	val_dir[14271*3 + 0] = -0.683231f;	val_dir[14271*3 + 1] = -0.045549f;	val_dir[14271*3 + 2] = -0.728780f;
 	val_dir[14272*3 + 0] = -0.648784f;	val_dir[14272*3 + 1] = -0.022372f;	val_dir[14272*3 + 2] = -0.760644f;
 	val_dir[14273*3 + 0] = -0.613941f;	val_dir[14273*3 + 1] = 0.0f;	val_dir[14273*3 + 2] = -0.789352f;
 	val_dir[14274*3 + 0] = -0.599852f;	val_dir[14274*3 + 1] = 0.022217f;	val_dir[14274*3 + 2] = -0.799803f;
 	val_dir[14275*3 + 0] = -0.584898f;	val_dir[14275*3 + 1] = 0.044992f;	val_dir[14275*3 + 2] = -0.809858f;
 	val_dir[14276*3 + 0] = -0.569064f;	val_dir[14276*3 + 1] = 0.068288f;	val_dir[14276*3 + 2] = -0.819453f;
 	val_dir[14277*3 + 0] = -0.552345f;	val_dir[14277*3 + 1] = 0.092057f;	val_dir[14277*3 + 2] = -0.828517f;
 	val_dir[14278*3 + 0] = -0.534739f;	val_dir[14278*3 + 1] = 0.116248f;	val_dir[14278*3 + 2] = -0.836983f;
 	val_dir[14279*3 + 0] = -0.516256f;	val_dir[14279*3 + 1] = 0.140797f;	val_dir[14279*3 + 2] = -0.844782f;
 	val_dir[14280*3 + 0] = -0.496911f;	val_dir[14280*3 + 1] = 0.165637f;	val_dir[14280*3 + 2] = -0.851847f;
 	val_dir[14281*3 + 0] = -0.476731f;	val_dir[14281*3 + 1] = 0.190693f;	val_dir[14281*3 + 2] = -0.858116f;
 	val_dir[14282*3 + 0] = -0.455752f;	val_dir[14282*3 + 1] = 0.215883f;	val_dir[14282*3 + 2] = -0.863530f;
 	val_dir[14283*3 + 0] = -0.434019f;	val_dir[14283*3 + 1] = 0.241121f;	val_dir[14283*3 + 2] = -0.868037f;
 	val_dir[14284*3 + 0] = -0.411585f;	val_dir[14284*3 + 1] = 0.266320f;	val_dir[14284*3 + 2] = -0.871592f;
 	val_dir[14285*3 + 0] = -0.388514f;	val_dir[14285*3 + 1] = 0.291386f;	val_dir[14285*3 + 2] = -0.874157f;
 	val_dir[14286*3 + 0] = -0.364878f;	val_dir[14286*3 + 1] = 0.316228f;	val_dir[14286*3 + 2] = -0.875708f;
 	val_dir[14287*3 + 0] = -0.340755f;	val_dir[14287*3 + 1] = 0.340755f;	val_dir[14287*3 + 2] = -0.876226f;
 	val_dir[14288*3 + 0] = -0.316228f;	val_dir[14288*3 + 1] = 0.364878f;	val_dir[14288*3 + 2] = -0.875708f;
 	val_dir[14289*3 + 0] = -0.291386f;	val_dir[14289*3 + 1] = 0.388514f;	val_dir[14289*3 + 2] = -0.874157f;
 	val_dir[14290*3 + 0] = -0.266320f;	val_dir[14290*3 + 1] = 0.411585f;	val_dir[14290*3 + 2] = -0.871592f;
 	val_dir[14291*3 + 0] = -0.241121f;	val_dir[14291*3 + 1] = 0.434019f;	val_dir[14291*3 + 2] = -0.868037f;
 	val_dir[14292*3 + 0] = -0.215883f;	val_dir[14292*3 + 1] = 0.455752f;	val_dir[14292*3 + 2] = -0.863530f;
 	val_dir[14293*3 + 0] = -0.190693f;	val_dir[14293*3 + 1] = 0.476731f;	val_dir[14293*3 + 2] = -0.858116f;
 	val_dir[14294*3 + 0] = -0.165637f;	val_dir[14294*3 + 1] = 0.496911f;	val_dir[14294*3 + 2] = -0.851847f;
 	val_dir[14295*3 + 0] = -0.140797f;	val_dir[14295*3 + 1] = 0.516256f;	val_dir[14295*3 + 2] = -0.844782f;
 	val_dir[14296*3 + 0] = -0.116248f;	val_dir[14296*3 + 1] = 0.534739f;	val_dir[14296*3 + 2] = -0.836983f;
 	val_dir[14297*3 + 0] = -0.092057f;	val_dir[14297*3 + 1] = 0.552345f;	val_dir[14297*3 + 2] = -0.828517f;
 	val_dir[14298*3 + 0] = -0.068288f;	val_dir[14298*3 + 1] = 0.569064f;	val_dir[14298*3 + 2] = -0.819453f;
 	val_dir[14299*3 + 0] = -0.044992f;	val_dir[14299*3 + 1] = 0.584898f;	val_dir[14299*3 + 2] = -0.809858f;
 	val_dir[14300*3 + 0] = -0.022217f;	val_dir[14300*3 + 1] = 0.599852f;	val_dir[14300*3 + 2] = -0.799803f;
 	val_dir[14301*3 + 0] = 0.0f;	val_dir[14301*3 + 1] = 0.613941f;	val_dir[14301*3 + 2] = -0.789352f;
 	val_dir[14302*3 + 0] = 0.022372f;	val_dir[14302*3 + 1] = 0.648784f;	val_dir[14302*3 + 2] = -0.760644f;
 	val_dir[14303*3 + 0] = 0.045549f;	val_dir[14303*3 + 1] = 0.683231f;	val_dir[14303*3 + 2] = -0.728780f;
 	val_dir[14304*3 + 0] = 0.069375f;	val_dir[14304*3 + 1] = 0.716871f;	val_dir[14304*3 + 2] = -0.693746f;
 	val_dir[14305*3 + 0] = 0.093659f;	val_dir[14305*3 + 1] = 0.749269f;	val_dir[14305*3 + 2] = -0.655610f;
 	val_dir[14306*3 + 0] = 0.118180f;	val_dir[14306*3 + 1] = 0.779987f;	val_dir[14306*3 + 2] = -0.614535f;
 	val_dir[14307*3 + 0] = 0.142695f;	val_dir[14307*3 + 1] = 0.808608f;	val_dir[14307*3 + 2] = -0.570782f;
 	val_dir[14308*3 + 0] = 0.166951f;	val_dir[14308*3 + 1] = 0.834754f;	val_dir[14308*3 + 2] = -0.524703f;
 	val_dir[14309*3 + 0] = 0.190693f;	val_dir[14309*3 + 1] = 0.858116f;	val_dir[14309*3 + 2] = -0.476731f;
 	val_dir[14310*3 + 0] = 0.213681f;	val_dir[14310*3 + 1] = 0.878466f;	val_dir[14310*3 + 2] = -0.427362f;
 	val_dir[14311*3 + 0] = 0.235702f;	val_dir[14311*3 + 1] = 0.895669f;	val_dir[14311*3 + 2] = -0.377124f;
 	val_dir[14312*3 + 0] = 0.256578f;	val_dir[14312*3 + 1] = 0.909687f;	val_dir[14312*3 + 2] = -0.326554f;
 	val_dir[14313*3 + 0] = 0.276172f;	val_dir[14313*3 + 1] = 0.920575f;	val_dir[14313*3 + 2] = -0.276172f;
 	val_dir[14314*3 + 0] = 0.294392f;	val_dir[14314*3 + 1] = 0.928467f;	val_dir[14314*3 + 2] = -0.226455f;
 	val_dir[14315*3 + 0] = 0.311188f;	val_dir[14315*3 + 1] = 0.933564f;	val_dir[14315*3 + 2] = -0.177822f;
 	val_dir[14316*3 + 0] = 0.326550f;	val_dir[14316*3 + 1] = 0.936111f;	val_dir[14316*3 + 2] = -0.130620f;
 	val_dir[14317*3 + 0] = 0.340503f;	val_dir[14317*3 + 1] = 0.936382f;	val_dir[14317*3 + 2] = -0.085126f;
 	val_dir[14318*3 + 0] = 0.353096f;	val_dir[14318*3 + 1] = 0.934665f;	val_dir[14318*3 + 2] = -0.041541f;
 	val_dir[14319*3 + 0] = 0.364399f;	val_dir[14319*3 + 1] = 0.931243f;	val_dir[14319*3 + 2] = 0.0f;
 	val_dir[14320*3 + 0] = -0.93780f;	val_dir[14320*3 + 1] = -0.346578f;	val_dir[14320*3 + 2] = -0.020387f;
 	val_dir[14321*3 + 0] = -0.940361f;	val_dir[14321*3 + 1] = -0.334351f;	val_dir[14321*3 + 2] = -0.062691f;
 	val_dir[14322*3 + 0] = -0.941082f;	val_dir[14322*3 + 1] = -0.320824f;	val_dir[14322*3 + 2] = -0.106941f;
 	val_dir[14323*3 + 0] = -0.939680f;	val_dir[14323*3 + 1] = -0.305942f;	val_dir[14323*3 + 2] = -0.152971f;
 	val_dir[14324*3 + 0] = -0.935879f;	val_dir[14324*3 + 1] = -0.289677f;	val_dir[14324*3 + 2] = -0.200545f;
 	val_dir[14325*3 + 0] = -0.929421f;	val_dir[14325*3 + 1] = -0.272026f;	val_dir[14325*3 + 2] = -0.249357f;
 	val_dir[14326*3 + 0] = -0.920087f;	val_dir[14326*3 + 1] = -0.253024f;	val_dir[14326*3 + 2] = -0.299028f;
 	val_dir[14327*3 + 0] = -0.907713f;	val_dir[14327*3 + 1] = -0.232747f;	val_dir[14327*3 + 2] = -0.349121f;
 	val_dir[14328*3 + 0] = -0.892206f;	val_dir[14328*3 + 1] = -0.211312f;	val_dir[14328*3 + 2] = -0.399145f;
 	val_dir[14329*3 + 0] = -0.873555f;	val_dir[14329*3 + 1] = -0.188877f;	val_dir[14329*3 + 2] = -0.448583f;
 	val_dir[14330*3 + 0] = -0.851847f;	val_dir[14330*3 + 1] = -0.165637f;	val_dir[14330*3 + 2] = -0.496911f;
 	val_dir[14331*3 + 0] = -0.827259f;	val_dir[14331*3 + 1] = -0.141816f;	val_dir[14331*3 + 2] = -0.543627f;
 	val_dir[14332*3 + 0] = -0.800055f;	val_dir[14332*3 + 1] = -0.117655f;	val_dir[14332*3 + 2] = -0.588276f;
 	val_dir[14333*3 + 0] = -0.770574f;	val_dir[14333*3 + 1] = -0.093403f;	val_dir[14333*3 + 2] = -0.630470f;
 	val_dir[14334*3 + 0] = -0.739205f;	val_dir[14334*3 + 1] = -0.069301f;	val_dir[14334*3 + 2] = -0.669905f;
 	val_dir[14335*3 + 0] = -0.706372f;	val_dir[14335*3 + 1] = -0.045572f;	val_dir[14335*3 + 2] = -0.706372f;
 	val_dir[14336*3 + 0] = -0.672504f;	val_dir[14336*3 + 1] = -0.022417f;	val_dir[14336*3 + 2] = -0.739754f;
 	val_dir[14337*3 + 0] = -0.638018f;	val_dir[14337*3 + 1] = 0.0f;	val_dir[14337*3 + 2] = -0.770022f;
 	val_dir[14338*3 + 0] = -0.624540f;	val_dir[14338*3 + 1] = 0.022305f;	val_dir[14338*3 + 2] = -0.780675f;
 	val_dir[14339*3 + 0] = -0.610179f;	val_dir[14339*3 + 1] = 0.045198f;	val_dir[14339*3 + 2] = -0.790973f;
 	val_dir[14340*3 + 0] = -0.594917f;	val_dir[14340*3 + 1] = 0.068644f;	val_dir[14340*3 + 2] = -0.800850f;
 	val_dir[14341*3 + 0] = -0.578741f;	val_dir[14341*3 + 1] = 0.092599f;	val_dir[14341*3 + 2] = -0.810237f;
 	val_dir[14342*3 + 0] = -0.561644f;	val_dir[14342*3 + 1] = 0.117009f;	val_dir[14342*3 + 2] = -0.819064f;
 	val_dir[14343*3 + 0] = -0.543627f;	val_dir[14343*3 + 1] = 0.141816f;	val_dir[14343*3 + 2] = -0.827259f;
 	val_dir[14344*3 + 0] = -0.524703f;	val_dir[14344*3 + 1] = 0.166951f;	val_dir[14344*3 + 2] = -0.834754f;
 	val_dir[14345*3 + 0] = -0.504889f;	val_dir[14345*3 + 1] = 0.192339f;	val_dir[14345*3 + 2] = -0.841482f;
 	val_dir[14346*3 + 0] = -0.484217f;	val_dir[14346*3 + 1] = 0.217898f;	val_dir[14346*3 + 2] = -0.847381f;
 	val_dir[14347*3 + 0] = -0.462727f;	val_dir[14347*3 + 1] = 0.243541f;	val_dir[14347*3 + 2] = -0.852392f;
 	val_dir[14348*3 + 0] = -0.440468f;	val_dir[14348*3 + 1] = 0.269175f;	val_dir[14348*3 + 2] = -0.856465f;
 	val_dir[14349*3 + 0] = -0.41750f;	val_dir[14349*3 + 1] = 0.294706f;	val_dir[14349*3 + 2] = -0.859559f;
 	val_dir[14350*3 + 0] = -0.393893f;	val_dir[14350*3 + 1] = 0.320038f;	val_dir[14350*3 + 2] = -0.861640f;
 	val_dir[14351*3 + 0] = -0.369723f;	val_dir[14351*3 + 1] = 0.345075f;	val_dir[14351*3 + 2] = -0.862687f;
 	val_dir[14352*3 + 0] = -0.345075f;	val_dir[14352*3 + 1] = 0.369723f;	val_dir[14352*3 + 2] = -0.862687f;
 	val_dir[14353*3 + 0] = -0.320038f;	val_dir[14353*3 + 1] = 0.393893f;	val_dir[14353*3 + 2] = -0.861640f;
 	val_dir[14354*3 + 0] = -0.294706f;	val_dir[14354*3 + 1] = 0.41750f;	val_dir[14354*3 + 2] = -0.859559f;
 	val_dir[14355*3 + 0] = -0.269175f;	val_dir[14355*3 + 1] = 0.440468f;	val_dir[14355*3 + 2] = -0.856465f;
 	val_dir[14356*3 + 0] = -0.243541f;	val_dir[14356*3 + 1] = 0.462727f;	val_dir[14356*3 + 2] = -0.852392f;
 	val_dir[14357*3 + 0] = -0.217898f;	val_dir[14357*3 + 1] = 0.484217f;	val_dir[14357*3 + 2] = -0.847381f;
 	val_dir[14358*3 + 0] = -0.192339f;	val_dir[14358*3 + 1] = 0.504889f;	val_dir[14358*3 + 2] = -0.841482f;
 	val_dir[14359*3 + 0] = -0.166951f;	val_dir[14359*3 + 1] = 0.524703f;	val_dir[14359*3 + 2] = -0.834754f;
 	val_dir[14360*3 + 0] = -0.141816f;	val_dir[14360*3 + 1] = 0.543627f;	val_dir[14360*3 + 2] = -0.827259f;
 	val_dir[14361*3 + 0] = -0.117009f;	val_dir[14361*3 + 1] = 0.561644f;	val_dir[14361*3 + 2] = -0.819064f;
 	val_dir[14362*3 + 0] = -0.092599f;	val_dir[14362*3 + 1] = 0.578741f;	val_dir[14362*3 + 2] = -0.810237f;
 	val_dir[14363*3 + 0] = -0.068644f;	val_dir[14363*3 + 1] = 0.594917f;	val_dir[14363*3 + 2] = -0.800850f;
 	val_dir[14364*3 + 0] = -0.045198f;	val_dir[14364*3 + 1] = 0.610179f;	val_dir[14364*3 + 2] = -0.790973f;
 	val_dir[14365*3 + 0] = -0.022305f;	val_dir[14365*3 + 1] = 0.624540f;	val_dir[14365*3 + 2] = -0.780675f;
 	val_dir[14366*3 + 0] = 0.0f;	val_dir[14366*3 + 1] = 0.638018f;	val_dir[14366*3 + 2] = -0.770022f;
 	val_dir[14367*3 + 0] = 0.022417f;	val_dir[14367*3 + 1] = 0.672504f;	val_dir[14367*3 + 2] = -0.739754f;
 	val_dir[14368*3 + 0] = 0.045572f;	val_dir[14368*3 + 1] = 0.706372f;	val_dir[14368*3 + 2] = -0.706372f;
 	val_dir[14369*3 + 0] = 0.069301f;	val_dir[14369*3 + 1] = 0.739205f;	val_dir[14369*3 + 2] = -0.669905f;
 	val_dir[14370*3 + 0] = 0.093403f;	val_dir[14370*3 + 1] = 0.770574f;	val_dir[14370*3 + 2] = -0.630470f;
 	val_dir[14371*3 + 0] = 0.117655f;	val_dir[14371*3 + 1] = 0.800055f;	val_dir[14371*3 + 2] = -0.588276f;
 	val_dir[14372*3 + 0] = 0.141816f;	val_dir[14372*3 + 1] = 0.827259f;	val_dir[14372*3 + 2] = -0.543627f;
 	val_dir[14373*3 + 0] = 0.165637f;	val_dir[14373*3 + 1] = 0.851847f;	val_dir[14373*3 + 2] = -0.496911f;
 	val_dir[14374*3 + 0] = 0.188877f;	val_dir[14374*3 + 1] = 0.873555f;	val_dir[14374*3 + 2] = -0.448583f;
 	val_dir[14375*3 + 0] = 0.211312f;	val_dir[14375*3 + 1] = 0.892206f;	val_dir[14375*3 + 2] = -0.399145f;
 	val_dir[14376*3 + 0] = 0.232747f;	val_dir[14376*3 + 1] = 0.907713f;	val_dir[14376*3 + 2] = -0.349121f;
 	val_dir[14377*3 + 0] = 0.253024f;	val_dir[14377*3 + 1] = 0.920087f;	val_dir[14377*3 + 2] = -0.299028f;
 	val_dir[14378*3 + 0] = 0.272026f;	val_dir[14378*3 + 1] = 0.929421f;	val_dir[14378*3 + 2] = -0.249357f;
 	val_dir[14379*3 + 0] = 0.289677f;	val_dir[14379*3 + 1] = 0.935879f;	val_dir[14379*3 + 2] = -0.200545f;
 	val_dir[14380*3 + 0] = 0.305942f;	val_dir[14380*3 + 1] = 0.939680f;	val_dir[14380*3 + 2] = -0.152971f;
 	val_dir[14381*3 + 0] = 0.320824f;	val_dir[14381*3 + 1] = 0.941082f;	val_dir[14381*3 + 2] = -0.106941f;
 	val_dir[14382*3 + 0] = 0.334351f;	val_dir[14382*3 + 1] = 0.940361f;	val_dir[14382*3 + 2] = -0.062691f;
 	val_dir[14383*3 + 0] = 0.346578f;	val_dir[14383*3 + 1] = 0.93780f;	val_dir[14383*3 + 2] = -0.020387f;
 	val_dir[14384*3 + 0] = -0.940376f;	val_dir[14384*3 + 1] = -0.340136f;	val_dir[14384*3 + 2] = 0.0f;
 	val_dir[14385*3 + 0] = -0.943701f;	val_dir[14385*3 + 1] = -0.328244f;	val_dir[14385*3 + 2] = -0.041030f;
 	val_dir[14386*3 + 0] = -0.945328f;	val_dir[14386*3 + 1] = -0.315109f;	val_dir[14386*3 + 2] = -0.084029f;
 	val_dir[14387*3 + 0] = -0.944981f;	val_dir[14387*3 + 1] = -0.300676f;	val_dir[14387*3 + 2] = -0.128861f;
 	val_dir[14388*3 + 0] = -0.942384f;	val_dir[14388*3 + 1] = -0.284907f;	val_dir[14388*3 + 2] = -0.175327f;
 	val_dir[14389*3 + 0] = -0.937276f;	val_dir[14389*3 + 1] = -0.267793f;	val_dir[14389*3 + 2] = -0.223161f;
 	val_dir[14390*3 + 0] = -0.929421f;	val_dir[14390*3 + 1] = -0.249357f;	val_dir[14390*3 + 2] = -0.272026f;
 	val_dir[14391*3 + 0] = -0.918630f;	val_dir[14391*3 + 1] = -0.229658f;	val_dir[14391*3 + 2] = -0.321521f;
 	val_dir[14392*3 + 0] = -0.904777f;	val_dir[14392*3 + 1] = -0.208795f;	val_dir[14392*3 + 2] = -0.371191f;
 	val_dir[14393*3 + 0] = -0.887812f;	val_dir[14393*3 + 1] = -0.186908f;	val_dir[14393*3 + 2] = -0.420542f;
 	val_dir[14394*3 + 0] = -0.867770f;	val_dir[14394*3 + 1] = -0.164173f;	val_dir[14394*3 + 2] = -0.469065f;
 	val_dir[14395*3 + 0] = -0.844782f;	val_dir[14395*3 + 1] = -0.140797f;	val_dir[14395*3 + 2] = -0.516256f;
 	val_dir[14396*3 + 0] = -0.819064f;	val_dir[14396*3 + 1] = -0.117009f;	val_dir[14396*3 + 2] = -0.561644f;
 	val_dir[14397*3 + 0] = -0.790912f;	val_dir[14397*3 + 1] = -0.093048f;	val_dir[14397*3 + 2] = -0.604815f;
 	val_dir[14398*3 + 0] = -0.760684f;	val_dir[14398*3 + 1] = -0.069153f;	val_dir[14398*3 + 2] = -0.645429f;
 	val_dir[14399*3 + 0] = -0.728780f;	val_dir[14399*3 + 1] = -0.045549f;	val_dir[14399*3 + 2] = -0.683231f;
 	val_dir[14400*3 + 0] = -0.695620f;	val_dir[14400*3 + 1] = -0.022439f;	val_dir[14400*3 + 2] = -0.718059f;
 	val_dir[14401*3 + 0] = -0.661622f;	val_dir[14401*3 + 1] = 0.0f;	val_dir[14401*3 + 2] = -0.749838f;
 	val_dir[14402*3 + 0] = -0.648784f;	val_dir[14402*3 + 1] = 0.022372f;	val_dir[14402*3 + 2] = -0.760644f;
 	val_dir[14403*3 + 0] = -0.635053f;	val_dir[14403*3 + 1] = 0.045361f;	val_dir[14403*3 + 2] = -0.771136f;
 	val_dir[14404*3 + 0] = -0.620403f;	val_dir[14404*3 + 1] = 0.068934f;	val_dir[14404*3 + 2] = -0.781248f;
 	val_dir[14405*3 + 0] = -0.604815f;	val_dir[14405*3 + 1] = 0.093048f;	val_dir[14405*3 + 2] = -0.790912f;
 	val_dir[14406*3 + 0] = -0.588276f;	val_dir[14406*3 + 1] = 0.117655f;	val_dir[14406*3 + 2] = -0.800055f;
 	val_dir[14407*3 + 0] = -0.570782f;	val_dir[14407*3 + 1] = 0.142695f;	val_dir[14407*3 + 2] = -0.808608f;
 	val_dir[14408*3 + 0] = -0.552336f;	val_dir[14408*3 + 1] = 0.168102f;	val_dir[14408*3 + 2] = -0.816497f;
 	val_dir[14409*3 + 0] = -0.532952f;	val_dir[14409*3 + 1] = 0.193801f;	val_dir[14409*3 + 2] = -0.823653f;
 	val_dir[14410*3 + 0] = -0.512653f;	val_dir[14410*3 + 1] = 0.219708f;	val_dir[14410*3 + 2] = -0.830009f;
 	val_dir[14411*3 + 0] = -0.491473f;	val_dir[14411*3 + 1] = 0.245737f;	val_dir[14411*3 + 2] = -0.835504f;
 	val_dir[14412*3 + 0] = -0.469458f;	val_dir[14412*3 + 1] = 0.271791f;	val_dir[14412*3 + 2] = -0.840083f;
 	val_dir[14413*3 + 0] = -0.446662f;	val_dir[14413*3 + 1] = 0.297775f;	val_dir[14413*3 + 2] = -0.843696f;
 	val_dir[14414*3 + 0] = -0.423153f;	val_dir[14414*3 + 1] = 0.323587f;	val_dir[14414*3 + 2] = -0.846305f;
 	val_dir[14415*3 + 0] = -0.399004f;	val_dir[14415*3 + 1] = 0.349128f;	val_dir[14415*3 + 2] = -0.847883f;
 	val_dir[14416*3 + 0] = -0.374299f;	val_dir[14416*3 + 1] = 0.374299f;	val_dir[14416*3 + 2] = -0.848411f;
 	val_dir[14417*3 + 0] = -0.349128f;	val_dir[14417*3 + 1] = 0.399004f;	val_dir[14417*3 + 2] = -0.847883f;
 	val_dir[14418*3 + 0] = -0.323587f;	val_dir[14418*3 + 1] = 0.423153f;	val_dir[14418*3 + 2] = -0.846305f;
 	val_dir[14419*3 + 0] = -0.297775f;	val_dir[14419*3 + 1] = 0.446662f;	val_dir[14419*3 + 2] = -0.843696f;
 	val_dir[14420*3 + 0] = -0.271791f;	val_dir[14420*3 + 1] = 0.469458f;	val_dir[14420*3 + 2] = -0.840083f;
 	val_dir[14421*3 + 0] = -0.245737f;	val_dir[14421*3 + 1] = 0.491473f;	val_dir[14421*3 + 2] = -0.835504f;
 	val_dir[14422*3 + 0] = -0.219708f;	val_dir[14422*3 + 1] = 0.512653f;	val_dir[14422*3 + 2] = -0.830009f;
 	val_dir[14423*3 + 0] = -0.193801f;	val_dir[14423*3 + 1] = 0.532952f;	val_dir[14423*3 + 2] = -0.823653f;
 	val_dir[14424*3 + 0] = -0.168102f;	val_dir[14424*3 + 1] = 0.552336f;	val_dir[14424*3 + 2] = -0.816497f;
 	val_dir[14425*3 + 0] = -0.142695f;	val_dir[14425*3 + 1] = 0.570782f;	val_dir[14425*3 + 2] = -0.808608f;
 	val_dir[14426*3 + 0] = -0.117655f;	val_dir[14426*3 + 1] = 0.588276f;	val_dir[14426*3 + 2] = -0.800055f;
 	val_dir[14427*3 + 0] = -0.093048f;	val_dir[14427*3 + 1] = 0.604815f;	val_dir[14427*3 + 2] = -0.790912f;
 	val_dir[14428*3 + 0] = -0.068934f;	val_dir[14428*3 + 1] = 0.620403f;	val_dir[14428*3 + 2] = -0.781248f;
 	val_dir[14429*3 + 0] = -0.045361f;	val_dir[14429*3 + 1] = 0.635053f;	val_dir[14429*3 + 2] = -0.771136f;
 	val_dir[14430*3 + 0] = -0.022372f;	val_dir[14430*3 + 1] = 0.648784f;	val_dir[14430*3 + 2] = -0.760644f;
 	val_dir[14431*3 + 0] = 0.0f;	val_dir[14431*3 + 1] = 0.661622f;	val_dir[14431*3 + 2] = -0.749838f;
 	val_dir[14432*3 + 0] = 0.022439f;	val_dir[14432*3 + 1] = 0.695620f;	val_dir[14432*3 + 2] = -0.718059f;
 	val_dir[14433*3 + 0] = 0.045549f;	val_dir[14433*3 + 1] = 0.728780f;	val_dir[14433*3 + 2] = -0.683231f;
 	val_dir[14434*3 + 0] = 0.069153f;	val_dir[14434*3 + 1] = 0.760684f;	val_dir[14434*3 + 2] = -0.645429f;
 	val_dir[14435*3 + 0] = 0.093048f;	val_dir[14435*3 + 1] = 0.790912f;	val_dir[14435*3 + 2] = -0.604815f;
 	val_dir[14436*3 + 0] = 0.117009f;	val_dir[14436*3 + 1] = 0.819064f;	val_dir[14436*3 + 2] = -0.561644f;
 	val_dir[14437*3 + 0] = 0.140797f;	val_dir[14437*3 + 1] = 0.844782f;	val_dir[14437*3 + 2] = -0.516256f;
 	val_dir[14438*3 + 0] = 0.164173f;	val_dir[14438*3 + 1] = 0.867770f;	val_dir[14438*3 + 2] = -0.469065f;
 	val_dir[14439*3 + 0] = 0.186908f;	val_dir[14439*3 + 1] = 0.887812f;	val_dir[14439*3 + 2] = -0.420542f;
 	val_dir[14440*3 + 0] = 0.208795f;	val_dir[14440*3 + 1] = 0.904777f;	val_dir[14440*3 + 2] = -0.371191f;
 	val_dir[14441*3 + 0] = 0.229658f;	val_dir[14441*3 + 1] = 0.918630f;	val_dir[14441*3 + 2] = -0.321521f;
 	val_dir[14442*3 + 0] = 0.249357f;	val_dir[14442*3 + 1] = 0.929421f;	val_dir[14442*3 + 2] = -0.272026f;
 	val_dir[14443*3 + 0] = 0.267793f;	val_dir[14443*3 + 1] = 0.937276f;	val_dir[14443*3 + 2] = -0.223161f;
 	val_dir[14444*3 + 0] = 0.284907f;	val_dir[14444*3 + 1] = 0.942384f;	val_dir[14444*3 + 2] = -0.175327f;
 	val_dir[14445*3 + 0] = 0.300676f;	val_dir[14445*3 + 1] = 0.944981f;	val_dir[14445*3 + 2] = -0.128861f;
 	val_dir[14446*3 + 0] = 0.315109f;	val_dir[14446*3 + 1] = 0.945328f;	val_dir[14446*3 + 2] = -0.084029f;
 	val_dir[14447*3 + 0] = 0.328244f;	val_dir[14447*3 + 1] = 0.943701f;	val_dir[14447*3 + 2] = -0.041030f;
 	val_dir[14448*3 + 0] = 0.340136f;	val_dir[14448*3 + 1] = 0.940376f;	val_dir[14448*3 + 2] = 0.0f;
 	val_dir[14449*3 + 0] = -0.946458f;	val_dir[14449*3 + 1] = -0.322198f;	val_dir[14449*3 + 2] = -0.020137f;
 	val_dir[14450*3 + 0] = -0.948908f;	val_dir[14450*3 + 1] = -0.309426f;	val_dir[14450*3 + 2] = -0.061885f;
 	val_dir[14451*3 + 0] = -0.949528f;	val_dir[14451*3 + 1] = -0.295409f;	val_dir[14451*3 + 2] = -0.105503f;
 	val_dir[14452*3 + 0] = -0.948047f;	val_dir[14452*3 + 1] = -0.280105f;	val_dir[14452*3 + 2] = -0.150826f;
 	val_dir[14453*3 + 0] = -0.94420f;	val_dir[14453*3 + 1] = -0.263498f;	val_dir[14453*3 + 2] = -0.197623f;
 	val_dir[14454*3 + 0] = -0.937743f;	val_dir[14454*3 + 1] = -0.245599f;	val_dir[14454*3 + 2] = -0.245599f;
 	val_dir[14455*3 + 0] = -0.928467f;	val_dir[14455*3 + 1] = -0.226455f;	val_dir[14455*3 + 2] = -0.294392f;
 	val_dir[14456*3 + 0] = -0.916217f;	val_dir[14456*3 + 1] = -0.206149f;	val_dir[14456*3 + 2] = -0.343582f;
 	val_dir[14457*3 + 0] = -0.900907f;	val_dir[14457*3 + 1] = -0.184801f;	val_dir[14457*3 + 2] = -0.392703f;
 	val_dir[14458*3 + 0] = -0.882528f;	val_dir[14458*3 + 1] = -0.162571f;	val_dir[14458*3 + 2] = -0.441264f;
 	val_dir[14459*3 + 0] = -0.861164f;	val_dir[14459*3 + 1] = -0.139648f;	val_dir[14459*3 + 2] = -0.488769f;
 	val_dir[14460*3 + 0] = -0.836983f;	val_dir[14460*3 + 1] = -0.116248f;	val_dir[14460*3 + 2] = -0.534739f;
 	val_dir[14461*3 + 0] = -0.810237f;	val_dir[14461*3 + 1] = -0.092599f;	val_dir[14461*3 + 2] = -0.578741f;
 	val_dir[14462*3 + 0] = -0.781248f;	val_dir[14462*3 + 1] = -0.068934f;	val_dir[14462*3 + 2] = -0.620403f;
 	val_dir[14463*3 + 0] = -0.750388f;	val_dir[14463*3 + 1] = -0.045478f;	val_dir[14463*3 + 2] = -0.659432f;
 	val_dir[14464*3 + 0] = -0.718059f;	val_dir[14464*3 + 1] = -0.022439f;	val_dir[14464*3 + 2] = -0.695620f;
 	val_dir[14465*3 + 0] = -0.684675f;	val_dir[14465*3 + 1] = 0.0f;	val_dir[14465*3 + 2] = -0.728848f;
 	val_dir[14466*3 + 0] = -0.672504f;	val_dir[14466*3 + 1] = 0.022417f;	val_dir[14466*3 + 2] = -0.739754f;
 	val_dir[14467*3 + 0] = -0.659432f;	val_dir[14467*3 + 1] = 0.045478f;	val_dir[14467*3 + 2] = -0.750388f;
 	val_dir[14468*3 + 0] = -0.645429f;	val_dir[14468*3 + 1] = 0.069153f;	val_dir[14468*3 + 2] = -0.760684f;
 	val_dir[14469*3 + 0] = -0.630470f;	val_dir[14469*3 + 1] = 0.093403f;	val_dir[14469*3 + 2] = -0.770574f;
 	val_dir[14470*3 + 0] = -0.614535f;	val_dir[14470*3 + 1] = 0.118180f;	val_dir[14470*3 + 2] = -0.779987f;
 	val_dir[14471*3 + 0] = -0.597614f;	val_dir[14471*3 + 1] = 0.143427f;	val_dir[14471*3 + 2] = -0.788851f;
 	val_dir[14472*3 + 0] = -0.579703f;	val_dir[14472*3 + 1] = 0.169080f;	val_dir[14472*3 + 2] = -0.797092f;
 	val_dir[14473*3 + 0] = -0.560809f;	val_dir[14473*3 + 1] = 0.195064f;	val_dir[14473*3 + 2] = -0.804639f;
 	val_dir[14474*3 + 0] = -0.540947f;	val_dir[14474*3 + 1] = 0.221297f;	val_dir[14474*3 + 2] = -0.811421f;
 	val_dir[14475*3 + 0] = -0.520146f;	val_dir[14475*3 + 1] = 0.247689f;	val_dir[14475*3 + 2] = -0.817373f;
 	val_dir[14476*3 + 0] = -0.498445f;	val_dir[14476*3 + 1] = 0.274145f;	val_dir[14476*3 + 2] = -0.822434f;
 	val_dir[14477*3 + 0] = -0.475893f;	val_dir[14477*3 + 1] = 0.300564f;	val_dir[14477*3 + 2] = -0.826551f;
 	val_dir[14478*3 + 0] = -0.452553f;	val_dir[14478*3 + 1] = 0.326844f;	val_dir[14478*3 + 2] = -0.829680f;
 	val_dir[14479*3 + 0] = -0.428496f;	val_dir[14479*3 + 1] = 0.352879f;	val_dir[14479*3 + 2] = -0.831786f;
 	val_dir[14480*3 + 0] = -0.403804f;	val_dir[14480*3 + 1] = 0.378566f;	val_dir[14480*3 + 2] = -0.832845f;
 	val_dir[14481*3 + 0] = -0.378566f;	val_dir[14481*3 + 1] = 0.403804f;	val_dir[14481*3 + 2] = -0.832845f;
 	val_dir[14482*3 + 0] = -0.352879f;	val_dir[14482*3 + 1] = 0.428496f;	val_dir[14482*3 + 2] = -0.831786f;
 	val_dir[14483*3 + 0] = -0.326844f;	val_dir[14483*3 + 1] = 0.452553f;	val_dir[14483*3 + 2] = -0.829680f;
 	val_dir[14484*3 + 0] = -0.300564f;	val_dir[14484*3 + 1] = 0.475893f;	val_dir[14484*3 + 2] = -0.826551f;
 	val_dir[14485*3 + 0] = -0.274145f;	val_dir[14485*3 + 1] = 0.498445f;	val_dir[14485*3 + 2] = -0.822434f;
 	val_dir[14486*3 + 0] = -0.247689f;	val_dir[14486*3 + 1] = 0.520146f;	val_dir[14486*3 + 2] = -0.817373f;
 	val_dir[14487*3 + 0] = -0.221297f;	val_dir[14487*3 + 1] = 0.540947f;	val_dir[14487*3 + 2] = -0.811421f;
 	val_dir[14488*3 + 0] = -0.195064f;	val_dir[14488*3 + 1] = 0.560809f;	val_dir[14488*3 + 2] = -0.804639f;
 	val_dir[14489*3 + 0] = -0.169080f;	val_dir[14489*3 + 1] = 0.579703f;	val_dir[14489*3 + 2] = -0.797092f;
 	val_dir[14490*3 + 0] = -0.143427f;	val_dir[14490*3 + 1] = 0.597614f;	val_dir[14490*3 + 2] = -0.788851f;
 	val_dir[14491*3 + 0] = -0.118180f;	val_dir[14491*3 + 1] = 0.614535f;	val_dir[14491*3 + 2] = -0.779987f;
 	val_dir[14492*3 + 0] = -0.093403f;	val_dir[14492*3 + 1] = 0.630470f;	val_dir[14492*3 + 2] = -0.770574f;
 	val_dir[14493*3 + 0] = -0.069153f;	val_dir[14493*3 + 1] = 0.645429f;	val_dir[14493*3 + 2] = -0.760684f;
 	val_dir[14494*3 + 0] = -0.045478f;	val_dir[14494*3 + 1] = 0.659432f;	val_dir[14494*3 + 2] = -0.750388f;
 	val_dir[14495*3 + 0] = -0.022417f;	val_dir[14495*3 + 1] = 0.672504f;	val_dir[14495*3 + 2] = -0.739754f;
 	val_dir[14496*3 + 0] = 0.0f;	val_dir[14496*3 + 1] = 0.684675f;	val_dir[14496*3 + 2] = -0.728848f;
 	val_dir[14497*3 + 0] = 0.022439f;	val_dir[14497*3 + 1] = 0.718059f;	val_dir[14497*3 + 2] = -0.695620f;
 	val_dir[14498*3 + 0] = 0.045478f;	val_dir[14498*3 + 1] = 0.750388f;	val_dir[14498*3 + 2] = -0.659432f;
 	val_dir[14499*3 + 0] = 0.068934f;	val_dir[14499*3 + 1] = 0.781248f;	val_dir[14499*3 + 2] = -0.620403f;
 	val_dir[14500*3 + 0] = 0.092599f;	val_dir[14500*3 + 1] = 0.810237f;	val_dir[14500*3 + 2] = -0.578741f;
 	val_dir[14501*3 + 0] = 0.116248f;	val_dir[14501*3 + 1] = 0.836983f;	val_dir[14501*3 + 2] = -0.534739f;
 	val_dir[14502*3 + 0] = 0.139648f;	val_dir[14502*3 + 1] = 0.861164f;	val_dir[14502*3 + 2] = -0.488769f;
 	val_dir[14503*3 + 0] = 0.162571f;	val_dir[14503*3 + 1] = 0.882528f;	val_dir[14503*3 + 2] = -0.441264f;
 	val_dir[14504*3 + 0] = 0.184801f;	val_dir[14504*3 + 1] = 0.900907f;	val_dir[14504*3 + 2] = -0.392703f;
 	val_dir[14505*3 + 0] = 0.206149f;	val_dir[14505*3 + 1] = 0.916217f;	val_dir[14505*3 + 2] = -0.343582f;
 	val_dir[14506*3 + 0] = 0.226455f;	val_dir[14506*3 + 1] = 0.928467f;	val_dir[14506*3 + 2] = -0.294392f;
 	val_dir[14507*3 + 0] = 0.245599f;	val_dir[14507*3 + 1] = 0.937743f;	val_dir[14507*3 + 2] = -0.245599f;
 	val_dir[14508*3 + 0] = 0.263498f;	val_dir[14508*3 + 1] = 0.94420f;	val_dir[14508*3 + 2] = -0.197623f;
 	val_dir[14509*3 + 0] = 0.280105f;	val_dir[14509*3 + 1] = 0.948047f;	val_dir[14509*3 + 2] = -0.150826f;
 	val_dir[14510*3 + 0] = 0.295409f;	val_dir[14510*3 + 1] = 0.949528f;	val_dir[14510*3 + 2] = -0.105503f;
 	val_dir[14511*3 + 0] = 0.309426f;	val_dir[14511*3 + 1] = 0.948908f;	val_dir[14511*3 + 2] = -0.061885f;
 	val_dir[14512*3 + 0] = 0.322198f;	val_dir[14512*3 + 1] = 0.946458f;	val_dir[14512*3 + 2] = -0.020137f;
 	val_dir[14513*3 + 0] = -0.948683f;	val_dir[14513*3 + 1] = -0.316228f;	val_dir[14513*3 + 2] = 0.0f;
 	val_dir[14514*3 + 0] = -0.951877f;	val_dir[14514*3 + 1] = -0.303791f;	val_dir[14514*3 + 2] = -0.040505f;
 	val_dir[14515*3 + 0] = -0.953381f;	val_dir[14515*3 + 1] = -0.290159f;	val_dir[14515*3 + 2] = -0.082903f;
 	val_dir[14516*3 + 0] = -0.952928f;	val_dir[14516*3 + 1] = -0.275290f;	val_dir[14516*3 + 2] = -0.127057f;
 	val_dir[14517*3 + 0] = -0.950255f;	val_dir[14517*3 + 1] = -0.259161f;	val_dir[14517*3 + 2] = -0.172774f;
 	val_dir[14518*3 + 0] = -0.945112f;	val_dir[14518*3 + 1] = -0.241773f;	val_dir[14518*3 + 2] = -0.219793f;
 	val_dir[14519*3 + 0] = -0.937276f;	val_dir[14519*3 + 1] = -0.223161f;	val_dir[14519*3 + 2] = -0.267793f;
 	val_dir[14520*3 + 0] = -0.926568f;	val_dir[14520*3 + 1] = -0.203393f;	val_dir[14520*3 + 2] = -0.316389f;
 	val_dir[14521*3 + 0] = -0.912871f;	val_dir[14521*3 + 1] = -0.182574f;	val_dir[14521*3 + 2] = -0.365148f;
 	val_dir[14522*3 + 0] = -0.896137f;	val_dir[14522*3 + 1] = -0.160845f;	val_dir[14522*3 + 2] = -0.413602f;
 	val_dir[14523*3 + 0] = -0.876405f;	val_dir[14523*3 + 1] = -0.138380f;	val_dir[14523*3 + 2] = -0.461266f;
 	val_dir[14524*3 + 0] = -0.853796f;	val_dir[14524*3 + 1] = -0.115378f;	val_dir[14524*3 + 2] = -0.507662f;
 	val_dir[14525*3 + 0] = -0.828517f;	val_dir[14525*3 + 1] = -0.092057f;	val_dir[14525*3 + 2] = -0.552345f;
 	val_dir[14526*3 + 0] = -0.800850f;	val_dir[14526*3 + 1] = -0.068644f;	val_dir[14526*3 + 2] = -0.594917f;
 	val_dir[14527*3 + 0] = -0.771136f;	val_dir[14527*3 + 1] = -0.045361f;	val_dir[14527*3 + 2] = -0.635053f;
 	val_dir[14528*3 + 0] = -0.739754f;	val_dir[14528*3 + 1] = -0.022417f;	val_dir[14528*3 + 2] = -0.672504f;
 	val_dir[14529*3 + 0] = -0.707107f;	val_dir[14529*3 + 1] = 0.0f;	val_dir[14529*3 + 2] = -0.707107f;
 	val_dir[14530*3 + 0] = -0.695620f;	val_dir[14530*3 + 1] = 0.022439f;	val_dir[14530*3 + 2] = -0.718059f;
 	val_dir[14531*3 + 0] = -0.683231f;	val_dir[14531*3 + 1] = 0.045549f;	val_dir[14531*3 + 2] = -0.728780f;
 	val_dir[14532*3 + 0] = -0.669905f;	val_dir[14532*3 + 1] = 0.069301f;	val_dir[14532*3 + 2] = -0.739205f;
 	val_dir[14533*3 + 0] = -0.655610f;	val_dir[14533*3 + 1] = 0.093659f;	val_dir[14533*3 + 2] = -0.749269f;
 	val_dir[14534*3 + 0] = -0.640321f;	val_dir[14534*3 + 1] = 0.118578f;	val_dir[14534*3 + 2] = -0.758899f;
 	val_dir[14535*3 + 0] = -0.624020f;	val_dir[14535*3 + 1] = 0.144005f;	val_dir[14535*3 + 2] = -0.768025f;
 	val_dir[14536*3 + 0] = -0.606696f;	val_dir[14536*3 + 1] = 0.169875f;	val_dir[14536*3 + 2] = -0.776571f;
 	val_dir[14537*3 + 0] = -0.588348f;	val_dir[14537*3 + 1] = 0.196116f;	val_dir[14537*3 + 2] = -0.784465f;
 	val_dir[14538*3 + 0] = -0.568986f;	val_dir[14538*3 + 1] = 0.222647f;	val_dir[14538*3 + 2] = -0.791633f;
 	val_dir[14539*3 + 0] = -0.548630f;	val_dir[14539*3 + 1] = 0.249377f;	val_dir[14539*3 + 2] = -0.798007f;
 	val_dir[14540*3 + 0] = -0.527312f;	val_dir[14540*3 + 1] = 0.276211f;	val_dir[14540*3 + 2] = -0.803523f;
 	val_dir[14541*3 + 0] = -0.505076f;	val_dir[14541*3 + 1] = 0.303046f;	val_dir[14541*3 + 2] = -0.808122f;
 	val_dir[14542*3 + 0] = -0.481979f;	val_dir[14542*3 + 1] = 0.329775f;	val_dir[14542*3 + 2] = -0.811754f;
 	val_dir[14543*3 + 0] = -0.458088f;	val_dir[14543*3 + 1] = 0.356291f;	val_dir[14543*3 + 2] = -0.814379f;
 	val_dir[14544*3 + 0] = -0.433482f;	val_dir[14544*3 + 1] = 0.382484f;	val_dir[14544*3 + 2] = -0.815966f;
 	val_dir[14545*3 + 0] = -0.408248f;	val_dir[14545*3 + 1] = 0.408248f;	val_dir[14545*3 + 2] = -0.816497f;
 	val_dir[14546*3 + 0] = -0.382484f;	val_dir[14546*3 + 1] = 0.433482f;	val_dir[14546*3 + 2] = -0.815966f;
 	val_dir[14547*3 + 0] = -0.356291f;	val_dir[14547*3 + 1] = 0.458088f;	val_dir[14547*3 + 2] = -0.814379f;
 	val_dir[14548*3 + 0] = -0.329775f;	val_dir[14548*3 + 1] = 0.481979f;	val_dir[14548*3 + 2] = -0.811754f;
 	val_dir[14549*3 + 0] = -0.303046f;	val_dir[14549*3 + 1] = 0.505076f;	val_dir[14549*3 + 2] = -0.808122f;
 	val_dir[14550*3 + 0] = -0.276211f;	val_dir[14550*3 + 1] = 0.527312f;	val_dir[14550*3 + 2] = -0.803523f;
 	val_dir[14551*3 + 0] = -0.249377f;	val_dir[14551*3 + 1] = 0.548630f;	val_dir[14551*3 + 2] = -0.798007f;
 	val_dir[14552*3 + 0] = -0.222647f;	val_dir[14552*3 + 1] = 0.568986f;	val_dir[14552*3 + 2] = -0.791633f;
 	val_dir[14553*3 + 0] = -0.196116f;	val_dir[14553*3 + 1] = 0.588348f;	val_dir[14553*3 + 2] = -0.784465f;
 	val_dir[14554*3 + 0] = -0.169875f;	val_dir[14554*3 + 1] = 0.606696f;	val_dir[14554*3 + 2] = -0.776571f;
 	val_dir[14555*3 + 0] = -0.144005f;	val_dir[14555*3 + 1] = 0.624020f;	val_dir[14555*3 + 2] = -0.768025f;
 	val_dir[14556*3 + 0] = -0.118578f;	val_dir[14556*3 + 1] = 0.640321f;	val_dir[14556*3 + 2] = -0.758899f;
 	val_dir[14557*3 + 0] = -0.093659f;	val_dir[14557*3 + 1] = 0.655610f;	val_dir[14557*3 + 2] = -0.749269f;
 	val_dir[14558*3 + 0] = -0.069301f;	val_dir[14558*3 + 1] = 0.669905f;	val_dir[14558*3 + 2] = -0.739205f;
 	val_dir[14559*3 + 0] = -0.045549f;	val_dir[14559*3 + 1] = 0.683231f;	val_dir[14559*3 + 2] = -0.728780f;
 	val_dir[14560*3 + 0] = -0.022439f;	val_dir[14560*3 + 1] = 0.695620f;	val_dir[14560*3 + 2] = -0.718059f;
 	val_dir[14561*3 + 0] = 0.0f;	val_dir[14561*3 + 1] = 0.707107f;	val_dir[14561*3 + 2] = -0.707107f;
 	val_dir[14562*3 + 0] = 0.022417f;	val_dir[14562*3 + 1] = 0.739754f;	val_dir[14562*3 + 2] = -0.672504f;
 	val_dir[14563*3 + 0] = 0.045361f;	val_dir[14563*3 + 1] = 0.771136f;	val_dir[14563*3 + 2] = -0.635053f;
 	val_dir[14564*3 + 0] = 0.068644f;	val_dir[14564*3 + 1] = 0.800850f;	val_dir[14564*3 + 2] = -0.594917f;
 	val_dir[14565*3 + 0] = 0.092057f;	val_dir[14565*3 + 1] = 0.828517f;	val_dir[14565*3 + 2] = -0.552345f;
 	val_dir[14566*3 + 0] = 0.115378f;	val_dir[14566*3 + 1] = 0.853796f;	val_dir[14566*3 + 2] = -0.507662f;
 	val_dir[14567*3 + 0] = 0.138380f;	val_dir[14567*3 + 1] = 0.876405f;	val_dir[14567*3 + 2] = -0.461266f;
 	val_dir[14568*3 + 0] = 0.160845f;	val_dir[14568*3 + 1] = 0.896137f;	val_dir[14568*3 + 2] = -0.413602f;
 	val_dir[14569*3 + 0] = 0.182574f;	val_dir[14569*3 + 1] = 0.912871f;	val_dir[14569*3 + 2] = -0.365148f;
 	val_dir[14570*3 + 0] = 0.203393f;	val_dir[14570*3 + 1] = 0.926568f;	val_dir[14570*3 + 2] = -0.316389f;
 	val_dir[14571*3 + 0] = 0.223161f;	val_dir[14571*3 + 1] = 0.937276f;	val_dir[14571*3 + 2] = -0.267793f;
 	val_dir[14572*3 + 0] = 0.241773f;	val_dir[14572*3 + 1] = 0.945112f;	val_dir[14572*3 + 2] = -0.219793f;
 	val_dir[14573*3 + 0] = 0.259161f;	val_dir[14573*3 + 1] = 0.950255f;	val_dir[14573*3 + 2] = -0.172774f;
 	val_dir[14574*3 + 0] = 0.275290f;	val_dir[14574*3 + 1] = 0.952928f;	val_dir[14574*3 + 2] = -0.127057f;
 	val_dir[14575*3 + 0] = 0.290159f;	val_dir[14575*3 + 1] = 0.953381f;	val_dir[14575*3 + 2] = -0.082903f;
 	val_dir[14576*3 + 0] = 0.303791f;	val_dir[14576*3 + 1] = 0.951877f;	val_dir[14576*3 + 2] = -0.040505f;
 	val_dir[14577*3 + 0] = 0.316228f;	val_dir[14577*3 + 1] = 0.948683f;	val_dir[14577*3 + 2] = 0.0f;
 	val_dir[14578*3 + 0] = -0.954291f;	val_dir[14578*3 + 1] = -0.298216f;	val_dir[14578*3 + 2] = -0.019881f;
 	val_dir[14579*3 + 0] = -0.956597f;	val_dir[14579*3 + 1] = -0.284944f;	val_dir[14579*3 + 2] = -0.061059f;
 	val_dir[14580*3 + 0] = -0.957088f;	val_dir[14580*3 + 1] = -0.270481f;	val_dir[14580*3 + 2] = -0.104031f;
 	val_dir[14581*3 + 0] = -0.955502f;	val_dir[14581*3 + 1] = -0.254801f;	val_dir[14581*3 + 2] = -0.148634f;
 	val_dir[14582*3 + 0] = -0.951588f;	val_dir[14582*3 + 1] = -0.237897f;	val_dir[14582*3 + 2] = -0.194643f;
 	val_dir[14583*3 + 0] = -0.945112f;	val_dir[14583*3 + 1] = -0.219793f;	val_dir[14583*3 + 2] = -0.241773f;
 	val_dir[14584*3 + 0] = -0.935879f;	val_dir[14584*3 + 1] = -0.200545f;	val_dir[14584*3 + 2] = -0.289677f;
 	val_dir[14585*3 + 0] = -0.923742f;	val_dir[14585*3 + 1] = -0.180242f;	val_dir[14585*3 + 2] = -0.337954f;
 	val_dir[14586*3 + 0] = -0.908622f;	val_dir[14586*3 + 1] = -0.159009f;	val_dir[14586*3 + 2] = -0.386164f;
 	val_dir[14587*3 + 0] = -0.890513f;	val_dir[14587*3 + 1] = -0.137002f;	val_dir[14587*3 + 2] = -0.433840f;
 	val_dir[14588*3 + 0] = -0.869495f;	val_dir[14588*3 + 1] = -0.114407f;	val_dir[14588*3 + 2] = -0.480510f;
 	val_dir[14589*3 + 0] = -0.845728f;	val_dir[14589*3 + 1] = -0.091430f;	val_dir[14589*3 + 2] = -0.525723f;
 	val_dir[14590*3 + 0] = -0.819453f;	val_dir[14590*3 + 1] = -0.068288f;	val_dir[14590*3 + 2] = -0.569064f;
 	val_dir[14591*3 + 0] = -0.790973f;	val_dir[14591*3 + 1] = -0.045198f;	val_dir[14591*3 + 2] = -0.610179f;
 	val_dir[14592*3 + 0] = -0.760644f;	val_dir[14592*3 + 1] = -0.022372f;	val_dir[14592*3 + 2] = -0.648784f;
 	val_dir[14593*3 + 0] = -0.728848f;	val_dir[14593*3 + 1] = 0.0f;	val_dir[14593*3 + 2] = -0.684675f;
 	val_dir[14594*3 + 0] = -0.718059f;	val_dir[14594*3 + 1] = 0.022439f;	val_dir[14594*3 + 2] = -0.695620f;
 	val_dir[14595*3 + 0] = -0.706372f;	val_dir[14595*3 + 1] = 0.045572f;	val_dir[14595*3 + 2] = -0.706372f;
 	val_dir[14596*3 + 0] = -0.693746f;	val_dir[14596*3 + 1] = 0.069375f;	val_dir[14596*3 + 2] = -0.716871f;
 	val_dir[14597*3 + 0] = -0.680144f;	val_dir[14597*3 + 1] = 0.093813f;	val_dir[14597*3 + 2] = -0.727051f;
 	val_dir[14598*3 + 0] = -0.665536f;	val_dir[14598*3 + 1] = 0.118846f;	val_dir[14598*3 + 2] = -0.736843f;
 	val_dir[14599*3 + 0] = -0.649895f;	val_dir[14599*3 + 1] = 0.144421f;	val_dir[14599*3 + 2] = -0.746176f;
 	val_dir[14600*3 + 0] = -0.633205f;	val_dir[14600*3 + 1] = 0.170478f;	val_dir[14600*3 + 2] = -0.754976f;
 	val_dir[14601*3 + 0] = -0.615457f;	val_dir[14601*3 + 1] = 0.196946f;	val_dir[14601*3 + 2] = -0.763167f;
 	val_dir[14602*3 + 0] = -0.596653f;	val_dir[14602*3 + 1] = 0.223745f;	val_dir[14602*3 + 2] = -0.770677f;
 	val_dir[14603*3 + 0] = -0.576805f;	val_dir[14603*3 + 1] = 0.250785f;	val_dir[14603*3 + 2] = -0.777433f;
 	val_dir[14604*3 + 0] = -0.555939f;	val_dir[14604*3 + 1] = 0.277969f;	val_dir[14604*3 + 2] = -0.783368f;
 	val_dir[14605*3 + 0] = -0.534090f;	val_dir[14605*3 + 1] = 0.305194f;	val_dir[14605*3 + 2] = -0.788419f;
 	val_dir[14606*3 + 0] = -0.511310f;	val_dir[14606*3 + 1] = 0.332352f;	val_dir[14606*3 + 2] = -0.792530f;
 	val_dir[14607*3 + 0] = -0.487661f;	val_dir[14607*3 + 1] = 0.359329f;	val_dir[14607*3 + 2] = -0.795657f;
 	val_dir[14608*3 + 0] = -0.463217f;	val_dir[14608*3 + 1] = 0.386014f;	val_dir[14608*3 + 2] = -0.797762f;
 	val_dir[14609*3 + 0] = -0.438063f;	val_dir[14609*3 + 1] = 0.412294f;	val_dir[14609*3 + 2] = -0.798820f;
 	val_dir[14610*3 + 0] = -0.412294f;	val_dir[14610*3 + 1] = 0.438063f;	val_dir[14610*3 + 2] = -0.798820f;
 	val_dir[14611*3 + 0] = -0.386014f;	val_dir[14611*3 + 1] = 0.463217f;	val_dir[14611*3 + 2] = -0.797762f;
 	val_dir[14612*3 + 0] = -0.359329f;	val_dir[14612*3 + 1] = 0.487661f;	val_dir[14612*3 + 2] = -0.795657f;
 	val_dir[14613*3 + 0] = -0.332352f;	val_dir[14613*3 + 1] = 0.511310f;	val_dir[14613*3 + 2] = -0.792530f;
 	val_dir[14614*3 + 0] = -0.305194f;	val_dir[14614*3 + 1] = 0.534090f;	val_dir[14614*3 + 2] = -0.788419f;
 	val_dir[14615*3 + 0] = -0.277969f;	val_dir[14615*3 + 1] = 0.555939f;	val_dir[14615*3 + 2] = -0.783368f;
 	val_dir[14616*3 + 0] = -0.250785f;	val_dir[14616*3 + 1] = 0.576805f;	val_dir[14616*3 + 2] = -0.777433f;
 	val_dir[14617*3 + 0] = -0.223745f;	val_dir[14617*3 + 1] = 0.596653f;	val_dir[14617*3 + 2] = -0.770677f;
 	val_dir[14618*3 + 0] = -0.196946f;	val_dir[14618*3 + 1] = 0.615457f;	val_dir[14618*3 + 2] = -0.763167f;
 	val_dir[14619*3 + 0] = -0.170478f;	val_dir[14619*3 + 1] = 0.633205f;	val_dir[14619*3 + 2] = -0.754976f;
 	val_dir[14620*3 + 0] = -0.144421f;	val_dir[14620*3 + 1] = 0.649895f;	val_dir[14620*3 + 2] = -0.746176f;
 	val_dir[14621*3 + 0] = -0.118846f;	val_dir[14621*3 + 1] = 0.665536f;	val_dir[14621*3 + 2] = -0.736843f;
 	val_dir[14622*3 + 0] = -0.093813f;	val_dir[14622*3 + 1] = 0.680144f;	val_dir[14622*3 + 2] = -0.727051f;
 	val_dir[14623*3 + 0] = -0.069375f;	val_dir[14623*3 + 1] = 0.693746f;	val_dir[14623*3 + 2] = -0.716871f;
 	val_dir[14624*3 + 0] = -0.045572f;	val_dir[14624*3 + 1] = 0.706372f;	val_dir[14624*3 + 2] = -0.706372f;
 	val_dir[14625*3 + 0] = -0.022439f;	val_dir[14625*3 + 1] = 0.718059f;	val_dir[14625*3 + 2] = -0.695620f;
 	val_dir[14626*3 + 0] = 0.0f;	val_dir[14626*3 + 1] = 0.728848f;	val_dir[14626*3 + 2] = -0.684675f;
 	val_dir[14627*3 + 0] = 0.022372f;	val_dir[14627*3 + 1] = 0.760644f;	val_dir[14627*3 + 2] = -0.648784f;
 	val_dir[14628*3 + 0] = 0.045198f;	val_dir[14628*3 + 1] = 0.790973f;	val_dir[14628*3 + 2] = -0.610179f;
 	val_dir[14629*3 + 0] = 0.068288f;	val_dir[14629*3 + 1] = 0.819453f;	val_dir[14629*3 + 2] = -0.569064f;
 	val_dir[14630*3 + 0] = 0.091430f;	val_dir[14630*3 + 1] = 0.845728f;	val_dir[14630*3 + 2] = -0.525723f;
 	val_dir[14631*3 + 0] = 0.114407f;	val_dir[14631*3 + 1] = 0.869495f;	val_dir[14631*3 + 2] = -0.480510f;
 	val_dir[14632*3 + 0] = 0.137002f;	val_dir[14632*3 + 1] = 0.890513f;	val_dir[14632*3 + 2] = -0.433840f;
 	val_dir[14633*3 + 0] = 0.159009f;	val_dir[14633*3 + 1] = 0.908622f;	val_dir[14633*3 + 2] = -0.386164f;
 	val_dir[14634*3 + 0] = 0.180242f;	val_dir[14634*3 + 1] = 0.923742f;	val_dir[14634*3 + 2] = -0.337954f;
 	val_dir[14635*3 + 0] = 0.200545f;	val_dir[14635*3 + 1] = 0.935879f;	val_dir[14635*3 + 2] = -0.289677f;
 	val_dir[14636*3 + 0] = 0.219793f;	val_dir[14636*3 + 1] = 0.945112f;	val_dir[14636*3 + 2] = -0.241773f;
 	val_dir[14637*3 + 0] = 0.237897f;	val_dir[14637*3 + 1] = 0.951588f;	val_dir[14637*3 + 2] = -0.194643f;
 	val_dir[14638*3 + 0] = 0.254801f;	val_dir[14638*3 + 1] = 0.955502f;	val_dir[14638*3 + 2] = -0.148634f;
 	val_dir[14639*3 + 0] = 0.270481f;	val_dir[14639*3 + 1] = 0.957088f;	val_dir[14639*3 + 2] = -0.104031f;
 	val_dir[14640*3 + 0] = 0.284944f;	val_dir[14640*3 + 1] = 0.956597f;	val_dir[14640*3 + 2] = -0.061059f;
 	val_dir[14641*3 + 0] = 0.298216f;	val_dir[14641*3 + 1] = 0.954291f;	val_dir[14641*3 + 2] = -0.019881f;
 	val_dir[14642*3 + 0] = -0.95620f;	val_dir[14642*3 + 1] = -0.292714f;	val_dir[14642*3 + 2] = 0.0f;
 	val_dir[14643*3 + 0] = -0.959233f;	val_dir[14643*3 + 1] = -0.279776f;	val_dir[14643*3 + 2] = -0.039968f;
 	val_dir[14644*3 + 0] = -0.960585f;	val_dir[14644*3 + 1] = -0.265694f;	val_dir[14644*3 + 2] = -0.081752f;
 	val_dir[14645*3 + 0] = -0.960001f;	val_dir[14645*3 + 1] = -0.250435f;	val_dir[14645*3 + 2] = -0.125218f;
 	val_dir[14646*3 + 0] = -0.957230f;	val_dir[14646*3 + 1] = -0.233990f;	val_dir[14646*3 + 2] = -0.170174f;
 	val_dir[14647*3 + 0] = -0.952033f;	val_dir[14647*3 + 1] = -0.216371f;	val_dir[14647*3 + 2] = -0.216371f;
 	val_dir[14648*3 + 0] = -0.94420f;	val_dir[14648*3 + 1] = -0.197623f;	val_dir[14648*3 + 2] = -0.263498f;
 	val_dir[14649*3 + 0] = -0.933564f;	val_dir[14649*3 + 1] = -0.177822f;	val_dir[14649*3 + 2] = -0.311188f;
 	val_dir[14650*3 + 0] = -0.920014f;	val_dir[14650*3 + 1] = -0.157075f;	val_dir[14650*3 + 2] = -0.359030f;
 	val_dir[14651*3 + 0] = -0.903508f;	val_dir[14651*3 + 1] = -0.135526f;	val_dir[14651*3 + 2] = -0.406579f;
 	val_dir[14652*3 + 0] = -0.884083f;	val_dir[14652*3 + 1] = -0.113344f;	val_dir[14652*3 + 2] = -0.453376f;
 	val_dir[14653*3 + 0] = -0.861857f;	val_dir[14653*3 + 1] = -0.090722f;	val_dir[14653*3 + 2] = -0.498970f;
 	val_dir[14654*3 + 0] = -0.837027f;	val_dir[14654*3 + 1] = -0.067867f;	val_dir[14654*3 + 2] = -0.542936f;
 	val_dir[14655*3 + 0] = -0.809858f;	val_dir[14655*3 + 1] = -0.044992f;	val_dir[14655*3 + 2] = -0.584898f;
 	val_dir[14656*3 + 0] = -0.780675f;	val_dir[14656*3 + 1] = -0.022305f;	val_dir[14656*3 + 2] = -0.624540f;
 	val_dir[14657*3 + 0] = -0.749838f;	val_dir[14657*3 + 1] = 0.0f;	val_dir[14657*3 + 2] = -0.661622f;
 	val_dir[14658*3 + 0] = -0.739754f;	val_dir[14658*3 + 1] = 0.022417f;	val_dir[14658*3 + 2] = -0.672504f;
 	val_dir[14659*3 + 0] = -0.728780f;	val_dir[14659*3 + 1] = 0.045549f;	val_dir[14659*3 + 2] = -0.683231f;
 	val_dir[14660*3 + 0] = -0.716871f;	val_dir[14660*3 + 1] = 0.069375f;	val_dir[14660*3 + 2] = -0.693746f;
 	val_dir[14661*3 + 0] = -0.703985f;	val_dir[14661*3 + 1] = 0.093865f;	val_dir[14661*3 + 2] = -0.703985f;
 	val_dir[14662*3 + 0] = -0.690085f;	val_dir[14662*3 + 1] = 0.118980f;	val_dir[14662*3 + 2] = -0.713881f;
 	val_dir[14663*3 + 0] = -0.675140f;	val_dir[14663*3 + 1] = 0.144673f;	val_dir[14663*3 + 2] = -0.723364f;
 	val_dir[14664*3 + 0] = -0.659125f;	val_dir[14664*3 + 1] = 0.170884f;	val_dir[14664*3 + 2] = -0.732361f;
 	val_dir[14665*3 + 0] = -0.642024f;	val_dir[14665*3 + 1] = 0.197546f;	val_dir[14665*3 + 2] = -0.740797f;
 	val_dir[14666*3 + 0] = -0.623831f;	val_dir[14666*3 + 1] = 0.224579f;	val_dir[14666*3 + 2] = -0.748598f;
 	val_dir[14667*3 + 0] = -0.604551f;	val_dir[14667*3 + 1] = 0.251896f;	val_dir[14667*3 + 2] = -0.755689f;
 	val_dir[14668*3 + 0] = -0.584201f;	val_dir[14668*3 + 1] = 0.27940f;	val_dir[14668*3 + 2] = -0.762001f;
 	val_dir[14669*3 + 0] = -0.562809f;	val_dir[14669*3 + 1] = 0.306987f;	val_dir[14669*3 + 2] = -0.767467f;
 	val_dir[14670*3 + 0] = -0.540419f;	val_dir[14670*3 + 1] = 0.334545f;	val_dir[14670*3 + 2] = -0.772027f;
 	val_dir[14671*3 + 0] = -0.517088f;	val_dir[14671*3 + 1] = 0.361961f;	val_dir[14671*3 + 2] = -0.775632f;
 	val_dir[14672*3 + 0] = -0.492883f;	val_dir[14672*3 + 1] = 0.389118f;	val_dir[14672*3 + 2] = -0.778237f;
 	val_dir[14673*3 + 0] = -0.467888f;	val_dir[14673*3 + 1] = 0.41590f;	val_dir[14673*3 + 2] = -0.779813f;
 	val_dir[14674*3 + 0] = -0.442193f;	val_dir[14674*3 + 1] = 0.442193f;	val_dir[14674*3 + 2] = -0.780340f;
 	val_dir[14675*3 + 0] = -0.41590f;	val_dir[14675*3 + 1] = 0.467888f;	val_dir[14675*3 + 2] = -0.779813f;
 	val_dir[14676*3 + 0] = -0.389118f;	val_dir[14676*3 + 1] = 0.492883f;	val_dir[14676*3 + 2] = -0.778237f;
 	val_dir[14677*3 + 0] = -0.361961f;	val_dir[14677*3 + 1] = 0.517088f;	val_dir[14677*3 + 2] = -0.775632f;
 	val_dir[14678*3 + 0] = -0.334545f;	val_dir[14678*3 + 1] = 0.540419f;	val_dir[14678*3 + 2] = -0.772027f;
 	val_dir[14679*3 + 0] = -0.306987f;	val_dir[14679*3 + 1] = 0.562809f;	val_dir[14679*3 + 2] = -0.767467f;
 	val_dir[14680*3 + 0] = -0.27940f;	val_dir[14680*3 + 1] = 0.584201f;	val_dir[14680*3 + 2] = -0.762001f;
 	val_dir[14681*3 + 0] = -0.251896f;	val_dir[14681*3 + 1] = 0.604551f;	val_dir[14681*3 + 2] = -0.755689f;
 	val_dir[14682*3 + 0] = -0.224579f;	val_dir[14682*3 + 1] = 0.623831f;	val_dir[14682*3 + 2] = -0.748598f;
 	val_dir[14683*3 + 0] = -0.197546f;	val_dir[14683*3 + 1] = 0.642024f;	val_dir[14683*3 + 2] = -0.740797f;
 	val_dir[14684*3 + 0] = -0.170884f;	val_dir[14684*3 + 1] = 0.659125f;	val_dir[14684*3 + 2] = -0.732361f;
 	val_dir[14685*3 + 0] = -0.144673f;	val_dir[14685*3 + 1] = 0.675140f;	val_dir[14685*3 + 2] = -0.723364f;
 	val_dir[14686*3 + 0] = -0.118980f;	val_dir[14686*3 + 1] = 0.690085f;	val_dir[14686*3 + 2] = -0.713881f;
 	val_dir[14687*3 + 0] = -0.093865f;	val_dir[14687*3 + 1] = 0.703985f;	val_dir[14687*3 + 2] = -0.703985f;
 	val_dir[14688*3 + 0] = -0.069375f;	val_dir[14688*3 + 1] = 0.716871f;	val_dir[14688*3 + 2] = -0.693746f;
 	val_dir[14689*3 + 0] = -0.045549f;	val_dir[14689*3 + 1] = 0.728780f;	val_dir[14689*3 + 2] = -0.683231f;
 	val_dir[14690*3 + 0] = -0.022417f;	val_dir[14690*3 + 1] = 0.739754f;	val_dir[14690*3 + 2] = -0.672504f;
 	val_dir[14691*3 + 0] = 0.0f;	val_dir[14691*3 + 1] = 0.749838f;	val_dir[14691*3 + 2] = -0.661622f;
 	val_dir[14692*3 + 0] = 0.022305f;	val_dir[14692*3 + 1] = 0.780675f;	val_dir[14692*3 + 2] = -0.624540f;
 	val_dir[14693*3 + 0] = 0.044992f;	val_dir[14693*3 + 1] = 0.809858f;	val_dir[14693*3 + 2] = -0.584898f;
 	val_dir[14694*3 + 0] = 0.067867f;	val_dir[14694*3 + 1] = 0.837027f;	val_dir[14694*3 + 2] = -0.542936f;
 	val_dir[14695*3 + 0] = 0.090722f;	val_dir[14695*3 + 1] = 0.861857f;	val_dir[14695*3 + 2] = -0.498970f;
 	val_dir[14696*3 + 0] = 0.113344f;	val_dir[14696*3 + 1] = 0.884083f;	val_dir[14696*3 + 2] = -0.453376f;
 	val_dir[14697*3 + 0] = 0.135526f;	val_dir[14697*3 + 1] = 0.903508f;	val_dir[14697*3 + 2] = -0.406579f;
 	val_dir[14698*3 + 0] = 0.157075f;	val_dir[14698*3 + 1] = 0.920014f;	val_dir[14698*3 + 2] = -0.359030f;
 	val_dir[14699*3 + 0] = 0.177822f;	val_dir[14699*3 + 1] = 0.933564f;	val_dir[14699*3 + 2] = -0.311188f;
 	val_dir[14700*3 + 0] = 0.197623f;	val_dir[14700*3 + 1] = 0.94420f;	val_dir[14700*3 + 2] = -0.263498f;
 	val_dir[14701*3 + 0] = 0.216371f;	val_dir[14701*3 + 1] = 0.952033f;	val_dir[14701*3 + 2] = -0.216371f;
 	val_dir[14702*3 + 0] = 0.233990f;	val_dir[14702*3 + 1] = 0.957230f;	val_dir[14702*3 + 2] = -0.170174f;
 	val_dir[14703*3 + 0] = 0.250435f;	val_dir[14703*3 + 1] = 0.960001f;	val_dir[14703*3 + 2] = -0.125218f;
 	val_dir[14704*3 + 0] = 0.265694f;	val_dir[14704*3 + 1] = 0.960585f;	val_dir[14704*3 + 2] = -0.081752f;
 	val_dir[14705*3 + 0] = 0.279776f;	val_dir[14705*3 + 1] = 0.959233f;	val_dir[14705*3 + 2] = -0.039968f;
 	val_dir[14706*3 + 0] = 0.292714f;	val_dir[14706*3 + 1] = 0.95620f;	val_dir[14706*3 + 2] = 0.0f;
 	val_dir[14707*3 + 0] = -0.961339f;	val_dir[14707*3 + 1] = -0.274668f;	val_dir[14707*3 + 2] = -0.019619f;
 	val_dir[14708*3 + 0] = -0.963475f;	val_dir[14708*3 + 1] = -0.260941f;	val_dir[14708*3 + 2] = -0.060217f;
 	val_dir[14709*3 + 0] = -0.963811f;	val_dir[14709*3 + 1] = -0.246079f;	val_dir[14709*3 + 2] = -0.102533f;
 	val_dir[14710*3 + 0] = -0.962099f;	val_dir[14710*3 + 1] = -0.230067f;	val_dir[14710*3 + 2] = -0.146406f;
 	val_dir[14711*3 + 0] = -0.958098f;	val_dir[14711*3 + 1] = -0.212911f;	val_dir[14711*3 + 2] = -0.191620f;
 	val_dir[14712*3 + 0] = -0.951588f;	val_dir[14712*3 + 1] = -0.194643f;	val_dir[14712*3 + 2] = -0.237897f;
 	val_dir[14713*3 + 0] = -0.942384f;	val_dir[14713*3 + 1] = -0.175327f;	val_dir[14713*3 + 2] = -0.284907f;
 	val_dir[14714*3 + 0] = -0.930352f;	val_dir[14714*3 + 1] = -0.155059f;	val_dir[14714*3 + 2] = -0.332269f;
 	val_dir[14715*3 + 0] = -0.915416f;	val_dir[14715*3 + 1] = -0.133963f;	val_dir[14715*3 + 2] = -0.379563f;
 	val_dir[14716*3 + 0] = -0.897574f;	val_dir[14716*3 + 1] = -0.112197f;	val_dir[14716*3 + 2] = -0.426348f;
 	val_dir[14717*3 + 0] = -0.876903f;	val_dir[14717*3 + 1] = -0.089939f;	val_dir[14717*3 + 2] = -0.472178f;
 	val_dir[14718*3 + 0] = -0.853556f;	val_dir[14718*3 + 1] = -0.067386f;	val_dir[14718*3 + 2] = -0.516626f;
 	val_dir[14719*3 + 0] = -0.827759f;	val_dir[14719*3 + 1] = -0.044744f;	val_dir[14719*3 + 2] = -0.559297f;
 	val_dir[14720*3 + 0] = -0.799803f;	val_dir[14720*3 + 1] = -0.022217f;	val_dir[14720*3 + 2] = -0.599852f;
 	val_dir[14721*3 + 0] = -0.770022f;	val_dir[14721*3 + 1] = 0.0f;	val_dir[14721*3 + 2] = -0.638018f;
 	val_dir[14722*3 + 0] = -0.760644f;	val_dir[14722*3 + 1] = 0.022372f;	val_dir[14722*3 + 2] = -0.648784f;
 	val_dir[14723*3 + 0] = -0.750388f;	val_dir[14723*3 + 1] = 0.045478f;	val_dir[14723*3 + 2] = -0.659432f;
 	val_dir[14724*3 + 0] = -0.739205f;	val_dir[14724*3 + 1] = 0.069301f;	val_dir[14724*3 + 2] = -0.669905f;
 	val_dir[14725*3 + 0] = -0.727051f;	val_dir[14725*3 + 1] = 0.093813f;	val_dir[14725*3 + 2] = -0.680144f;
 	val_dir[14726*3 + 0] = -0.713881f;	val_dir[14726*3 + 1] = 0.118980f;	val_dir[14726*3 + 2] = -0.690085f;
 	val_dir[14727*3 + 0] = -0.699659f;	val_dir[14727*3 + 1] = 0.144757f;	val_dir[14727*3 + 2] = -0.699659f;
 	val_dir[14728*3 + 0] = -0.684353f;	val_dir[14728*3 + 1] = 0.171088f;	val_dir[14728*3 + 2] = -0.708794f;
 	val_dir[14729*3 + 0] = -0.667940f;	val_dir[14729*3 + 1] = 0.197908f;	val_dir[14729*3 + 2] = -0.717418f;
 	val_dir[14730*3 + 0] = -0.650407f;	val_dir[14730*3 + 1] = 0.225141f;	val_dir[14730*3 + 2] = -0.725454f;
 	val_dir[14731*3 + 0] = -0.631748f;	val_dir[14731*3 + 1] = 0.252699f;	val_dir[14731*3 + 2] = -0.732828f;
 	val_dir[14732*3 + 0] = -0.611974f;	val_dir[14732*3 + 1] = 0.280488f;	val_dir[14732*3 + 2] = -0.739469f;
 	val_dir[14733*3 + 0] = -0.591105f;	val_dir[14733*3 + 1] = 0.308403f;	val_dir[14733*3 + 2] = -0.745307f;
 	val_dir[14734*3 + 0] = -0.569177f;	val_dir[14734*3 + 1] = 0.336332f;	val_dir[14734*3 + 2] = -0.750279f;
 	val_dir[14735*3 + 0] = -0.546238f;	val_dir[14735*3 + 1] = 0.364159f;	val_dir[14735*3 + 2] = -0.754329f;
 	val_dir[14736*3 + 0] = -0.522352f;	val_dir[14736*3 + 1] = 0.391764f;	val_dir[14736*3 + 2] = -0.757410f;
 	val_dir[14737*3 + 0] = -0.497594f;	val_dir[14737*3 + 1] = 0.419026f;	val_dir[14737*3 + 2] = -0.759485f;
 	val_dir[14738*3 + 0] = -0.472053f;	val_dir[14738*3 + 1] = 0.445827f;	val_dir[14738*3 + 2] = -0.760529f;
 	val_dir[14739*3 + 0] = -0.445827f;	val_dir[14739*3 + 1] = 0.472053f;	val_dir[14739*3 + 2] = -0.760529f;
 	val_dir[14740*3 + 0] = -0.419026f;	val_dir[14740*3 + 1] = 0.497594f;	val_dir[14740*3 + 2] = -0.759485f;
 	val_dir[14741*3 + 0] = -0.391764f;	val_dir[14741*3 + 1] = 0.522352f;	val_dir[14741*3 + 2] = -0.757410f;
 	val_dir[14742*3 + 0] = -0.364159f;	val_dir[14742*3 + 1] = 0.546238f;	val_dir[14742*3 + 2] = -0.754329f;
 	val_dir[14743*3 + 0] = -0.336332f;	val_dir[14743*3 + 1] = 0.569177f;	val_dir[14743*3 + 2] = -0.750279f;
 	val_dir[14744*3 + 0] = -0.308403f;	val_dir[14744*3 + 1] = 0.591105f;	val_dir[14744*3 + 2] = -0.745307f;
 	val_dir[14745*3 + 0] = -0.280488f;	val_dir[14745*3 + 1] = 0.611974f;	val_dir[14745*3 + 2] = -0.739469f;
 	val_dir[14746*3 + 0] = -0.252699f;	val_dir[14746*3 + 1] = 0.631748f;	val_dir[14746*3 + 2] = -0.732828f;
 	val_dir[14747*3 + 0] = -0.225141f;	val_dir[14747*3 + 1] = 0.650407f;	val_dir[14747*3 + 2] = -0.725454f;
 	val_dir[14748*3 + 0] = -0.197908f;	val_dir[14748*3 + 1] = 0.667940f;	val_dir[14748*3 + 2] = -0.717418f;
 	val_dir[14749*3 + 0] = -0.171088f;	val_dir[14749*3 + 1] = 0.684353f;	val_dir[14749*3 + 2] = -0.708794f;
 	val_dir[14750*3 + 0] = -0.144757f;	val_dir[14750*3 + 1] = 0.699659f;	val_dir[14750*3 + 2] = -0.699659f;
 	val_dir[14751*3 + 0] = -0.118980f;	val_dir[14751*3 + 1] = 0.713881f;	val_dir[14751*3 + 2] = -0.690085f;
 	val_dir[14752*3 + 0] = -0.093813f;	val_dir[14752*3 + 1] = 0.727051f;	val_dir[14752*3 + 2] = -0.680144f;
 	val_dir[14753*3 + 0] = -0.069301f;	val_dir[14753*3 + 1] = 0.739205f;	val_dir[14753*3 + 2] = -0.669905f;
 	val_dir[14754*3 + 0] = -0.045478f;	val_dir[14754*3 + 1] = 0.750388f;	val_dir[14754*3 + 2] = -0.659432f;
 	val_dir[14755*3 + 0] = -0.022372f;	val_dir[14755*3 + 1] = 0.760644f;	val_dir[14755*3 + 2] = -0.648784f;
 	val_dir[14756*3 + 0] = 0.0f;	val_dir[14756*3 + 1] = 0.770022f;	val_dir[14756*3 + 2] = -0.638018f;
 	val_dir[14757*3 + 0] = 0.022217f;	val_dir[14757*3 + 1] = 0.799803f;	val_dir[14757*3 + 2] = -0.599852f;
 	val_dir[14758*3 + 0] = 0.044744f;	val_dir[14758*3 + 1] = 0.827759f;	val_dir[14758*3 + 2] = -0.559297f;
 	val_dir[14759*3 + 0] = 0.067386f;	val_dir[14759*3 + 1] = 0.853556f;	val_dir[14759*3 + 2] = -0.516626f;
 	val_dir[14760*3 + 0] = 0.089939f;	val_dir[14760*3 + 1] = 0.876903f;	val_dir[14760*3 + 2] = -0.472178f;
 	val_dir[14761*3 + 0] = 0.112197f;	val_dir[14761*3 + 1] = 0.897574f;	val_dir[14761*3 + 2] = -0.426348f;
 	val_dir[14762*3 + 0] = 0.133963f;	val_dir[14762*3 + 1] = 0.915416f;	val_dir[14762*3 + 2] = -0.379563f;
 	val_dir[14763*3 + 0] = 0.155059f;	val_dir[14763*3 + 1] = 0.930352f;	val_dir[14763*3 + 2] = -0.332269f;
 	val_dir[14764*3 + 0] = 0.175327f;	val_dir[14764*3 + 1] = 0.942384f;	val_dir[14764*3 + 2] = -0.284907f;
 	val_dir[14765*3 + 0] = 0.194643f;	val_dir[14765*3 + 1] = 0.951588f;	val_dir[14765*3 + 2] = -0.237897f;
 	val_dir[14766*3 + 0] = 0.212911f;	val_dir[14766*3 + 1] = 0.958098f;	val_dir[14766*3 + 2] = -0.191620f;
 	val_dir[14767*3 + 0] = 0.230067f;	val_dir[14767*3 + 1] = 0.962099f;	val_dir[14767*3 + 2] = -0.146406f;
 	val_dir[14768*3 + 0] = 0.246079f;	val_dir[14768*3 + 1] = 0.963811f;	val_dir[14768*3 + 2] = -0.102533f;
 	val_dir[14769*3 + 0] = 0.260941f;	val_dir[14769*3 + 1] = 0.963475f;	val_dir[14769*3 + 2] = -0.060217f;
 	val_dir[14770*3 + 0] = 0.274668f;	val_dir[14770*3 + 1] = 0.961339f;	val_dir[14770*3 + 2] = -0.019619f;
 	val_dir[14771*3 + 0] = -0.962964f;	val_dir[14771*3 + 1] = -0.269630f;	val_dir[14771*3 + 2] = 0.0f;
 	val_dir[14772*3 + 0] = -0.965810f;	val_dir[14772*3 + 1] = -0.256235f;	val_dir[14772*3 + 2] = -0.039421f;
 	val_dir[14773*3 + 0] = -0.966988f;	val_dir[14773*3 + 1] = -0.241747f;	val_dir[14773*3 + 2] = -0.080582f;
 	val_dir[14774*3 + 0] = -0.966252f;	val_dir[14774*3 + 1] = -0.226144f;	val_dir[14774*3 + 2] = -0.123351f;
 	val_dir[14775*3 + 0] = -0.963364f;	val_dir[14775*3 + 1] = -0.209427f;	val_dir[14775*3 + 2] = -0.167542f;
 	val_dir[14776*3 + 0] = -0.958098f;	val_dir[14776*3 + 1] = -0.191620f;	val_dir[14776*3 + 2] = -0.212911f;
 	val_dir[14777*3 + 0] = -0.950255f;	val_dir[14777*3 + 1] = -0.172774f;	val_dir[14777*3 + 2] = -0.259161f;
 	val_dir[14778*3 + 0] = -0.939680f;	val_dir[14778*3 + 1] = -0.152971f;	val_dir[14778*3 + 2] = -0.305942f;
 	val_dir[14779*3 + 0] = -0.926270f;	val_dir[14779*3 + 1] = -0.132324f;	val_dir[14779*3 + 2] = -0.352865f;
 	val_dir[14780*3 + 0] = -0.909988f;	val_dir[14780*3 + 1] = -0.110974f;	val_dir[14780*3 + 2] = -0.399507f;
 	val_dir[14781*3 + 0] = -0.890871f;	val_dir[14781*3 + 1] = -0.089087f;	val_dir[14781*3 + 2] = -0.445435f;
 	val_dir[14782*3 + 0] = -0.869030f;	val_dir[14782*3 + 1] = -0.066848f;	val_dir[14782*3 + 2] = -0.490222f;
 	val_dir[14783*3 + 0] = -0.844653f;	val_dir[14783*3 + 1] = -0.044455f;	val_dir[14783*3 + 2] = -0.533465f;
 	val_dir[14784*3 + 0] = -0.817992f;	val_dir[14784*3 + 1] = -0.022108f;	val_dir[14784*3 + 2] = -0.574805f;
 	val_dir[14785*3 + 0] = -0.789352f;	val_dir[14785*3 + 1] = 0.0f;	val_dir[14785*3 + 2] = -0.613941f;
 	val_dir[14786*3 + 0] = -0.780675f;	val_dir[14786*3 + 1] = 0.022305f;	val_dir[14786*3 + 2] = -0.624540f;
 	val_dir[14787*3 + 0] = -0.771136f;	val_dir[14787*3 + 1] = 0.045361f;	val_dir[14787*3 + 2] = -0.635053f;
 	val_dir[14788*3 + 0] = -0.760684f;	val_dir[14788*3 + 1] = 0.069153f;	val_dir[14788*3 + 2] = -0.645429f;
 	val_dir[14789*3 + 0] = -0.749269f;	val_dir[14789*3 + 1] = 0.093659f;	val_dir[14789*3 + 2] = -0.655610f;
 	val_dir[14790*3 + 0] = -0.736843f;	val_dir[14790*3 + 1] = 0.118846f;	val_dir[14790*3 + 2] = -0.665536f;
 	val_dir[14791*3 + 0] = -0.723364f;	val_dir[14791*3 + 1] = 0.144673f;	val_dir[14791*3 + 2] = -0.675140f;
 	val_dir[14792*3 + 0] = -0.708794f;	val_dir[14792*3 + 1] = 0.171088f;	val_dir[14792*3 + 2] = -0.684353f;
 	val_dir[14793*3 + 0] = -0.693103f;	val_dir[14793*3 + 1] = 0.198030f;	val_dir[14793*3 + 2] = -0.693103f;
 	val_dir[14794*3 + 0] = -0.676269f;	val_dir[14794*3 + 1] = 0.225423f;	val_dir[14794*3 + 2] = -0.701316f;
 	val_dir[14795*3 + 0] = -0.658281f;	val_dir[14795*3 + 1] = 0.253185f;	val_dir[14795*3 + 2] = -0.708918f;
 	val_dir[14796*3 + 0] = -0.639138f;	val_dir[14796*3 + 1] = 0.281220f;	val_dir[14796*3 + 2] = -0.715834f;
 	val_dir[14797*3 + 0] = -0.618853f;	val_dir[14797*3 + 1] = 0.309426f;	val_dir[14797*3 + 2] = -0.721995f;
 	val_dir[14798*3 + 0] = -0.597453f;	val_dir[14798*3 + 1] = 0.337691f;	val_dir[14798*3 + 2] = -0.727334f;
 	val_dir[14799*3 + 0] = -0.574979f;	val_dir[14799*3 + 1] = 0.365896f;	val_dir[14799*3 + 2] = -0.731792f;
 	val_dir[14800*3 + 0] = -0.551487f;	val_dir[14800*3 + 1] = 0.393919f;	val_dir[14800*3 + 2] = -0.735316f;
 	val_dir[14801*3 + 0] = -0.527046f;	val_dir[14801*3 + 1] = 0.421637f;	val_dir[14801*3 + 2] = -0.737865f;
 	val_dir[14802*3 + 0] = -0.501740f;	val_dir[14802*3 + 1] = 0.448926f;	val_dir[14802*3 + 2] = -0.739407f;
 	val_dir[14803*3 + 0] = -0.475665f;	val_dir[14803*3 + 1] = 0.475665f;	val_dir[14803*3 + 2] = -0.739923f;
 	val_dir[14804*3 + 0] = -0.448926f;	val_dir[14804*3 + 1] = 0.501740f;	val_dir[14804*3 + 2] = -0.739407f;
 	val_dir[14805*3 + 0] = -0.421637f;	val_dir[14805*3 + 1] = 0.527046f;	val_dir[14805*3 + 2] = -0.737865f;
 	val_dir[14806*3 + 0] = -0.393919f;	val_dir[14806*3 + 1] = 0.551487f;	val_dir[14806*3 + 2] = -0.735316f;
 	val_dir[14807*3 + 0] = -0.365896f;	val_dir[14807*3 + 1] = 0.574979f;	val_dir[14807*3 + 2] = -0.731792f;
 	val_dir[14808*3 + 0] = -0.337691f;	val_dir[14808*3 + 1] = 0.597453f;	val_dir[14808*3 + 2] = -0.727334f;
 	val_dir[14809*3 + 0] = -0.309426f;	val_dir[14809*3 + 1] = 0.618853f;	val_dir[14809*3 + 2] = -0.721995f;
 	val_dir[14810*3 + 0] = -0.281220f;	val_dir[14810*3 + 1] = 0.639138f;	val_dir[14810*3 + 2] = -0.715834f;
 	val_dir[14811*3 + 0] = -0.253185f;	val_dir[14811*3 + 1] = 0.658281f;	val_dir[14811*3 + 2] = -0.708918f;
 	val_dir[14812*3 + 0] = -0.225423f;	val_dir[14812*3 + 1] = 0.676269f;	val_dir[14812*3 + 2] = -0.701316f;
 	val_dir[14813*3 + 0] = -0.198030f;	val_dir[14813*3 + 1] = 0.693103f;	val_dir[14813*3 + 2] = -0.693103f;
 	val_dir[14814*3 + 0] = -0.171088f;	val_dir[14814*3 + 1] = 0.708794f;	val_dir[14814*3 + 2] = -0.684353f;
 	val_dir[14815*3 + 0] = -0.144673f;	val_dir[14815*3 + 1] = 0.723364f;	val_dir[14815*3 + 2] = -0.675140f;
 	val_dir[14816*3 + 0] = -0.118846f;	val_dir[14816*3 + 1] = 0.736843f;	val_dir[14816*3 + 2] = -0.665536f;
 	val_dir[14817*3 + 0] = -0.093659f;	val_dir[14817*3 + 1] = 0.749269f;	val_dir[14817*3 + 2] = -0.655610f;
 	val_dir[14818*3 + 0] = -0.069153f;	val_dir[14818*3 + 1] = 0.760684f;	val_dir[14818*3 + 2] = -0.645429f;
 	val_dir[14819*3 + 0] = -0.045361f;	val_dir[14819*3 + 1] = 0.771136f;	val_dir[14819*3 + 2] = -0.635053f;
 	val_dir[14820*3 + 0] = -0.022305f;	val_dir[14820*3 + 1] = 0.780675f;	val_dir[14820*3 + 2] = -0.624540f;
 	val_dir[14821*3 + 0] = 0.0f;	val_dir[14821*3 + 1] = 0.789352f;	val_dir[14821*3 + 2] = -0.613941f;
 	val_dir[14822*3 + 0] = 0.022108f;	val_dir[14822*3 + 1] = 0.817992f;	val_dir[14822*3 + 2] = -0.574805f;
 	val_dir[14823*3 + 0] = 0.044455f;	val_dir[14823*3 + 1] = 0.844653f;	val_dir[14823*3 + 2] = -0.533465f;
 	val_dir[14824*3 + 0] = 0.066848f;	val_dir[14824*3 + 1] = 0.869030f;	val_dir[14824*3 + 2] = -0.490222f;
 	val_dir[14825*3 + 0] = 0.089087f;	val_dir[14825*3 + 1] = 0.890871f;	val_dir[14825*3 + 2] = -0.445435f;
 	val_dir[14826*3 + 0] = 0.110974f;	val_dir[14826*3 + 1] = 0.909988f;	val_dir[14826*3 + 2] = -0.399507f;
 	val_dir[14827*3 + 0] = 0.132324f;	val_dir[14827*3 + 1] = 0.926270f;	val_dir[14827*3 + 2] = -0.352865f;
 	val_dir[14828*3 + 0] = 0.152971f;	val_dir[14828*3 + 1] = 0.939680f;	val_dir[14828*3 + 2] = -0.305942f;
 	val_dir[14829*3 + 0] = 0.172774f;	val_dir[14829*3 + 1] = 0.950255f;	val_dir[14829*3 + 2] = -0.259161f;
 	val_dir[14830*3 + 0] = 0.191620f;	val_dir[14830*3 + 1] = 0.958098f;	val_dir[14830*3 + 2] = -0.212911f;
 	val_dir[14831*3 + 0] = 0.209427f;	val_dir[14831*3 + 1] = 0.963364f;	val_dir[14831*3 + 2] = -0.167542f;
 	val_dir[14832*3 + 0] = 0.226144f;	val_dir[14832*3 + 1] = 0.966252f;	val_dir[14832*3 + 2] = -0.123351f;
 	val_dir[14833*3 + 0] = 0.241747f;	val_dir[14833*3 + 1] = 0.966988f;	val_dir[14833*3 + 2] = -0.080582f;
 	val_dir[14834*3 + 0] = 0.256235f;	val_dir[14834*3 + 1] = 0.965810f;	val_dir[14834*3 + 2] = -0.039421f;
 	val_dir[14835*3 + 0] = 0.269630f;	val_dir[14835*3 + 1] = 0.962964f;	val_dir[14835*3 + 2] = 0.0f;
 	val_dir[14836*3 + 0] = -0.967641f;	val_dir[14836*3 + 1] = -0.251587f;	val_dir[14836*3 + 2] = -0.019353f;
 	val_dir[14837*3 + 0] = -0.969584f;	val_dir[14837*3 + 1] = -0.237449f;	val_dir[14837*3 + 2] = -0.059362f;
 	val_dir[14838*3 + 0] = -0.969746f;	val_dir[14838*3 + 1] = -0.222234f;	val_dir[14838*3 + 2] = -0.101015f;
 	val_dir[14839*3 + 0] = -0.967890f;	val_dir[14839*3 + 1] = -0.205934f;	val_dir[14839*3 + 2] = -0.144154f;
 	val_dir[14840*3 + 0] = -0.963787f;	val_dir[14840*3 + 1] = -0.188567f;	val_dir[14840*3 + 2] = -0.188567f;
 	val_dir[14841*3 + 0] = -0.957230f;	val_dir[14841*3 + 1] = -0.170174f;	val_dir[14841*3 + 2] = -0.233990f;
 	val_dir[14842*3 + 0] = -0.948047f;	val_dir[14842*3 + 1] = -0.150826f;	val_dir[14842*3 + 2] = -0.280105f;
 	val_dir[14843*3 + 0] = -0.936111f;	val_dir[14843*3 + 1] = -0.130620f;	val_dir[14843*3 + 2] = -0.326550f;
 	val_dir[14844*3 + 0] = -0.921354f;	val_dir[14844*3 + 1] = -0.109685f;	val_dir[14844*3 + 2] = -0.372929f;
 	val_dir[14845*3 + 0] = -0.903777f;	val_dir[14845*3 + 1] = -0.088173f;	val_dir[14845*3 + 2] = -0.418823f;
 	val_dir[14846*3 + 0] = -0.883452f;	val_dir[14846*3 + 1] = -0.066259f;	val_dir[14846*3 + 2] = -0.463812f;
 	val_dir[14847*3 + 0] = -0.860527f;	val_dir[14847*3 + 1] = -0.044130f;	val_dir[14847*3 + 2] = -0.507490f;
 	val_dir[14848*3 + 0] = -0.835215f;	val_dir[14848*3 + 1] = -0.021979f;	val_dir[14848*3 + 2] = -0.549484f;
 	val_dir[14849*3 + 0] = -0.807791f;	val_dir[14849*3 + 1] = 0.0f;	val_dir[14849*3 + 2] = -0.589469f;
 	val_dir[14850*3 + 0] = -0.799803f;	val_dir[14850*3 + 1] = 0.022217f;	val_dir[14850*3 + 2] = -0.599852f;
 	val_dir[14851*3 + 0] = -0.790973f;	val_dir[14851*3 + 1] = 0.045198f;	val_dir[14851*3 + 2] = -0.610179f;
 	val_dir[14852*3 + 0] = -0.781248f;	val_dir[14852*3 + 1] = 0.068934f;	val_dir[14852*3 + 2] = -0.620403f;
 	val_dir[14853*3 + 0] = -0.770574f;	val_dir[14853*3 + 1] = 0.093403f;	val_dir[14853*3 + 2] = -0.630470f;
 	val_dir[14854*3 + 0] = -0.758899f;	val_dir[14854*3 + 1] = 0.118578f;	val_dir[14854*3 + 2] = -0.640321f;
 	val_dir[14855*3 + 0] = -0.746176f;	val_dir[14855*3 + 1] = 0.144421f;	val_dir[14855*3 + 2] = -0.649895f;
 	val_dir[14856*3 + 0] = -0.732361f;	val_dir[14856*3 + 1] = 0.170884f;	val_dir[14856*3 + 2] = -0.659125f;
 	val_dir[14857*3 + 0] = -0.717418f;	val_dir[14857*3 + 1] = 0.197908f;	val_dir[14857*3 + 2] = -0.667940f;
 	val_dir[14858*3 + 0] = -0.701316f;	val_dir[14858*3 + 1] = 0.225423f;	val_dir[14858*3 + 2] = -0.676269f;
 	val_dir[14859*3 + 0] = -0.684038f;	val_dir[14859*3 + 1] = 0.253347f;	val_dir[14859*3 + 2] = -0.684038f;
 	val_dir[14860*3 + 0] = -0.665574f;	val_dir[14860*3 + 1] = 0.281589f;	val_dir[14860*3 + 2] = -0.691173f;
 	val_dir[14861*3 + 0] = -0.645928f;	val_dir[14861*3 + 1] = 0.310045f;	val_dir[14861*3 + 2] = -0.697602f;
 	val_dir[14862*3 + 0] = -0.625119f;	val_dir[14862*3 + 1] = 0.338606f;	val_dir[14862*3 + 2] = -0.703259f;
 	val_dir[14863*3 + 0] = -0.603178f;	val_dir[14863*3 + 1] = 0.367152f;	val_dir[14863*3 + 2] = -0.708079f;
 	val_dir[14864*3 + 0] = -0.580154f;	val_dir[14864*3 + 1] = 0.395559f;	val_dir[14864*3 + 2] = -0.712007f;
 	val_dir[14865*3 + 0] = -0.556108f;	val_dir[14865*3 + 1] = 0.423702f;	val_dir[14865*3 + 2] = -0.714997f;
 	val_dir[14866*3 + 0] = -0.531119f;	val_dir[14866*3 + 1] = 0.451451f;	val_dir[14866*3 + 2] = -0.717011f;
 	val_dir[14867*3 + 0] = -0.505276f;	val_dir[14867*3 + 1] = 0.478683f;	val_dir[14867*3 + 2] = -0.718024f;
 	val_dir[14868*3 + 0] = -0.478683f;	val_dir[14868*3 + 1] = 0.505276f;	val_dir[14868*3 + 2] = -0.718024f;
 	val_dir[14869*3 + 0] = -0.451451f;	val_dir[14869*3 + 1] = 0.531119f;	val_dir[14869*3 + 2] = -0.717011f;
 	val_dir[14870*3 + 0] = -0.423702f;	val_dir[14870*3 + 1] = 0.556108f;	val_dir[14870*3 + 2] = -0.714997f;
 	val_dir[14871*3 + 0] = -0.395559f;	val_dir[14871*3 + 1] = 0.580154f;	val_dir[14871*3 + 2] = -0.712007f;
 	val_dir[14872*3 + 0] = -0.367152f;	val_dir[14872*3 + 1] = 0.603178f;	val_dir[14872*3 + 2] = -0.708079f;
 	val_dir[14873*3 + 0] = -0.338606f;	val_dir[14873*3 + 1] = 0.625119f;	val_dir[14873*3 + 2] = -0.703259f;
 	val_dir[14874*3 + 0] = -0.310045f;	val_dir[14874*3 + 1] = 0.645928f;	val_dir[14874*3 + 2] = -0.697602f;
 	val_dir[14875*3 + 0] = -0.281589f;	val_dir[14875*3 + 1] = 0.665574f;	val_dir[14875*3 + 2] = -0.691173f;
 	val_dir[14876*3 + 0] = -0.253347f;	val_dir[14876*3 + 1] = 0.684038f;	val_dir[14876*3 + 2] = -0.684038f;
 	val_dir[14877*3 + 0] = -0.225423f;	val_dir[14877*3 + 1] = 0.701316f;	val_dir[14877*3 + 2] = -0.676269f;
 	val_dir[14878*3 + 0] = -0.197908f;	val_dir[14878*3 + 1] = 0.717418f;	val_dir[14878*3 + 2] = -0.667940f;
 	val_dir[14879*3 + 0] = -0.170884f;	val_dir[14879*3 + 1] = 0.732361f;	val_dir[14879*3 + 2] = -0.659125f;
 	val_dir[14880*3 + 0] = -0.144421f;	val_dir[14880*3 + 1] = 0.746176f;	val_dir[14880*3 + 2] = -0.649895f;
 	val_dir[14881*3 + 0] = -0.118578f;	val_dir[14881*3 + 1] = 0.758899f;	val_dir[14881*3 + 2] = -0.640321f;
 	val_dir[14882*3 + 0] = -0.093403f;	val_dir[14882*3 + 1] = 0.770574f;	val_dir[14882*3 + 2] = -0.630470f;
 	val_dir[14883*3 + 0] = -0.068934f;	val_dir[14883*3 + 1] = 0.781248f;	val_dir[14883*3 + 2] = -0.620403f;
 	val_dir[14884*3 + 0] = -0.045198f;	val_dir[14884*3 + 1] = 0.790973f;	val_dir[14884*3 + 2] = -0.610179f;
 	val_dir[14885*3 + 0] = -0.022217f;	val_dir[14885*3 + 1] = 0.799803f;	val_dir[14885*3 + 2] = -0.599852f;
 	val_dir[14886*3 + 0] = 0.0f;	val_dir[14886*3 + 1] = 0.807791f;	val_dir[14886*3 + 2] = -0.589469f;
 	val_dir[14887*3 + 0] = 0.021979f;	val_dir[14887*3 + 1] = 0.835215f;	val_dir[14887*3 + 2] = -0.549484f;
 	val_dir[14888*3 + 0] = 0.044130f;	val_dir[14888*3 + 1] = 0.860527f;	val_dir[14888*3 + 2] = -0.507490f;
 	val_dir[14889*3 + 0] = 0.066259f;	val_dir[14889*3 + 1] = 0.883452f;	val_dir[14889*3 + 2] = -0.463812f;
 	val_dir[14890*3 + 0] = 0.088173f;	val_dir[14890*3 + 1] = 0.903777f;	val_dir[14890*3 + 2] = -0.418823f;
 	val_dir[14891*3 + 0] = 0.109685f;	val_dir[14891*3 + 1] = 0.921354f;	val_dir[14891*3 + 2] = -0.372929f;
 	val_dir[14892*3 + 0] = 0.130620f;	val_dir[14892*3 + 1] = 0.936111f;	val_dir[14892*3 + 2] = -0.326550f;
 	val_dir[14893*3 + 0] = 0.150826f;	val_dir[14893*3 + 1] = 0.948047f;	val_dir[14893*3 + 2] = -0.280105f;
 	val_dir[14894*3 + 0] = 0.170174f;	val_dir[14894*3 + 1] = 0.957230f;	val_dir[14894*3 + 2] = -0.233990f;
 	val_dir[14895*3 + 0] = 0.188567f;	val_dir[14895*3 + 1] = 0.963787f;	val_dir[14895*3 + 2] = -0.188567f;
 	val_dir[14896*3 + 0] = 0.205934f;	val_dir[14896*3 + 1] = 0.967890f;	val_dir[14896*3 + 2] = -0.144154f;
 	val_dir[14897*3 + 0] = 0.222234f;	val_dir[14897*3 + 1] = 0.969746f;	val_dir[14897*3 + 2] = -0.101015f;
 	val_dir[14898*3 + 0] = 0.237449f;	val_dir[14898*3 + 1] = 0.969584f;	val_dir[14898*3 + 2] = -0.059362f;
 	val_dir[14899*3 + 0] = 0.251587f;	val_dir[14899*3 + 1] = 0.967641f;	val_dir[14899*3 + 2] = -0.019353f;
 	val_dir[14900*3 + 0] = -0.969015f;	val_dir[14900*3 + 1] = -0.247004f;	val_dir[14900*3 + 2] = 0.0f;
 	val_dir[14901*3 + 0] = -0.971653f;	val_dir[14901*3 + 1] = -0.233197f;	val_dir[14901*3 + 2] = -0.038866f;
 	val_dir[14902*3 + 0] = -0.972636f;	val_dir[14902*3 + 1] = -0.218347f;	val_dir[14902*3 + 2] = -0.079399f;
 	val_dir[14903*3 + 0] = -0.971732f;	val_dir[14903*3 + 1] = -0.202444f;	val_dir[14903*3 + 2] = -0.121466f;
 	val_dir[14904*3 + 0] = -0.968712f;	val_dir[14904*3 + 1] = -0.185498f;	val_dir[14904*3 + 2] = -0.164887f;
 	val_dir[14905*3 + 0] = -0.963364f;	val_dir[14905*3 + 1] = -0.167542f;	val_dir[14905*3 + 2] = -0.209427f;
 	val_dir[14906*3 + 0] = -0.955502f;	val_dir[14906*3 + 1] = -0.148634f;	val_dir[14906*3 + 2] = -0.254801f;
 	val_dir[14907*3 + 0] = -0.944981f;	val_dir[14907*3 + 1] = -0.128861f;	val_dir[14907*3 + 2] = -0.300676f;
 	val_dir[14908*3 + 0] = -0.931705f;	val_dir[14908*3 + 1] = -0.108338f;	val_dir[14908*3 + 2] = -0.346681f;
 	val_dir[14909*3 + 0] = -0.915644f;	val_dir[14909*3 + 1] = -0.087204f;	val_dir[14909*3 + 2] = -0.392419f;
 	val_dir[14910*3 + 0] = -0.896831f;	val_dir[14910*3 + 1] = -0.065622f;	val_dir[14910*3 + 2] = -0.437479f;
 	val_dir[14911*3 + 0] = -0.875376f;	val_dir[14911*3 + 1] = -0.043769f;	val_dir[14911*3 + 2] = -0.481457f;
 	val_dir[14912*3 + 0] = -0.851455f;	val_dir[14912*3 + 1] = -0.021832f;	val_dir[14912*3 + 2] = -0.523973f;
 	val_dir[14913*3 + 0] = -0.825307f;	val_dir[14913*3 + 1] = 0.0f;	val_dir[14913*3 + 2] = -0.564684f;
 	val_dir[14914*3 + 0] = -0.817992f;	val_dir[14914*3 + 1] = 0.022108f;	val_dir[14914*3 + 2] = -0.574805f;
 	val_dir[14915*3 + 0] = -0.809858f;	val_dir[14915*3 + 1] = 0.044992f;	val_dir[14915*3 + 2] = -0.584898f;
 	val_dir[14916*3 + 0] = -0.800850f;	val_dir[14916*3 + 1] = 0.068644f;	val_dir[14916*3 + 2] = -0.594917f;
 	val_dir[14917*3 + 0] = -0.790912f;	val_dir[14917*3 + 1] = 0.093048f;	val_dir[14917*3 + 2] = -0.604815f;
 	val_dir[14918*3 + 0] = -0.779987f;	val_dir[14918*3 + 1] = 0.118180f;	val_dir[14918*3 + 2] = -0.614535f;
 	val_dir[14919*3 + 0] = -0.768025f;	val_dir[14919*3 + 1] = 0.144005f;	val_dir[14919*3 + 2] = -0.624020f;
 	val_dir[14920*3 + 0] = -0.754976f;	val_dir[14920*3 + 1] = 0.170478f;	val_dir[14920*3 + 2] = -0.633205f;
 	val_dir[14921*3 + 0] = -0.740797f;	val_dir[14921*3 + 1] = 0.197546f;	val_dir[14921*3 + 2] = -0.642024f;
 	val_dir[14922*3 + 0] = -0.725454f;	val_dir[14922*3 + 1] = 0.225141f;	val_dir[14922*3 + 2] = -0.650407f;
 	val_dir[14923*3 + 0] = -0.708918f;	val_dir[14923*3 + 1] = 0.253185f;	val_dir[14923*3 + 2] = -0.658281f;
 	val_dir[14924*3 + 0] = -0.691173f;	val_dir[14924*3 + 1] = 0.281589f;	val_dir[14924*3 + 2] = -0.665574f;
 	val_dir[14925*3 + 0] = -0.672214f;	val_dir[14925*3 + 1] = 0.310253f;	val_dir[14925*3 + 2] = -0.672214f;
 	val_dir[14926*3 + 0] = -0.652051f;	val_dir[14926*3 + 1] = 0.339066f;	val_dir[14926*3 + 2] = -0.678133f;
 	val_dir[14927*3 + 0] = -0.630706f;	val_dir[14927*3 + 1] = 0.367912f;	val_dir[14927*3 + 2] = -0.683265f;
 	val_dir[14928*3 + 0] = -0.608219f;	val_dir[14928*3 + 1] = 0.396664f;	val_dir[14928*3 + 2] = -0.687552f;
 	val_dir[14929*3 + 0] = -0.584643f;	val_dir[14929*3 + 1] = 0.425195f;	val_dir[14929*3 + 2] = -0.690942f;
 	val_dir[14930*3 + 0] = -0.560050f;	val_dir[14930*3 + 1] = 0.453374f;	val_dir[14930*3 + 2] = -0.693395f;
 	val_dir[14931*3 + 0] = -0.534522f;	val_dir[14931*3 + 1] = 0.481070f;	val_dir[14931*3 + 2] = -0.694879f;
 	val_dir[14932*3 + 0] = -0.508159f;	val_dir[14932*3 + 1] = 0.508159f;	val_dir[14932*3 + 2] = -0.695376f;
 	val_dir[14933*3 + 0] = -0.481070f;	val_dir[14933*3 + 1] = 0.534522f;	val_dir[14933*3 + 2] = -0.694879f;
 	val_dir[14934*3 + 0] = -0.453374f;	val_dir[14934*3 + 1] = 0.560050f;	val_dir[14934*3 + 2] = -0.693395f;
 	val_dir[14935*3 + 0] = -0.425195f;	val_dir[14935*3 + 1] = 0.584643f;	val_dir[14935*3 + 2] = -0.690942f;
 	val_dir[14936*3 + 0] = -0.396664f;	val_dir[14936*3 + 1] = 0.608219f;	val_dir[14936*3 + 2] = -0.687552f;
 	val_dir[14937*3 + 0] = -0.367912f;	val_dir[14937*3 + 1] = 0.630706f;	val_dir[14937*3 + 2] = -0.683265f;
 	val_dir[14938*3 + 0] = -0.339066f;	val_dir[14938*3 + 1] = 0.652051f;	val_dir[14938*3 + 2] = -0.678133f;
 	val_dir[14939*3 + 0] = -0.310253f;	val_dir[14939*3 + 1] = 0.672214f;	val_dir[14939*3 + 2] = -0.672214f;
 	val_dir[14940*3 + 0] = -0.281589f;	val_dir[14940*3 + 1] = 0.691173f;	val_dir[14940*3 + 2] = -0.665574f;
 	val_dir[14941*3 + 0] = -0.253185f;	val_dir[14941*3 + 1] = 0.708918f;	val_dir[14941*3 + 2] = -0.658281f;
 	val_dir[14942*3 + 0] = -0.225141f;	val_dir[14942*3 + 1] = 0.725454f;	val_dir[14942*3 + 2] = -0.650407f;
 	val_dir[14943*3 + 0] = -0.197546f;	val_dir[14943*3 + 1] = 0.740797f;	val_dir[14943*3 + 2] = -0.642024f;
 	val_dir[14944*3 + 0] = -0.170478f;	val_dir[14944*3 + 1] = 0.754976f;	val_dir[14944*3 + 2] = -0.633205f;
 	val_dir[14945*3 + 0] = -0.144005f;	val_dir[14945*3 + 1] = 0.768025f;	val_dir[14945*3 + 2] = -0.624020f;
 	val_dir[14946*3 + 0] = -0.118180f;	val_dir[14946*3 + 1] = 0.779987f;	val_dir[14946*3 + 2] = -0.614535f;
 	val_dir[14947*3 + 0] = -0.093048f;	val_dir[14947*3 + 1] = 0.790912f;	val_dir[14947*3 + 2] = -0.604815f;
 	val_dir[14948*3 + 0] = -0.068644f;	val_dir[14948*3 + 1] = 0.800850f;	val_dir[14948*3 + 2] = -0.594917f;
 	val_dir[14949*3 + 0] = -0.044992f;	val_dir[14949*3 + 1] = 0.809858f;	val_dir[14949*3 + 2] = -0.584898f;
 	val_dir[14950*3 + 0] = -0.022108f;	val_dir[14950*3 + 1] = 0.817992f;	val_dir[14950*3 + 2] = -0.574805f;
 	val_dir[14951*3 + 0] = 0.0f;	val_dir[14951*3 + 1] = 0.825307f;	val_dir[14951*3 + 2] = -0.564684f;
 	val_dir[14952*3 + 0] = 0.021832f;	val_dir[14952*3 + 1] = 0.851455f;	val_dir[14952*3 + 2] = -0.523973f;
 	val_dir[14953*3 + 0] = 0.043769f;	val_dir[14953*3 + 1] = 0.875376f;	val_dir[14953*3 + 2] = -0.481457f;
 	val_dir[14954*3 + 0] = 0.065622f;	val_dir[14954*3 + 1] = 0.896831f;	val_dir[14954*3 + 2] = -0.437479f;
 	val_dir[14955*3 + 0] = 0.087204f;	val_dir[14955*3 + 1] = 0.915644f;	val_dir[14955*3 + 2] = -0.392419f;
 	val_dir[14956*3 + 0] = 0.108338f;	val_dir[14956*3 + 1] = 0.931705f;	val_dir[14956*3 + 2] = -0.346681f;
 	val_dir[14957*3 + 0] = 0.128861f;	val_dir[14957*3 + 1] = 0.944981f;	val_dir[14957*3 + 2] = -0.300676f;
 	val_dir[14958*3 + 0] = 0.148634f;	val_dir[14958*3 + 1] = 0.955502f;	val_dir[14958*3 + 2] = -0.254801f;
 	val_dir[14959*3 + 0] = 0.167542f;	val_dir[14959*3 + 1] = 0.963364f;	val_dir[14959*3 + 2] = -0.209427f;
 	val_dir[14960*3 + 0] = 0.185498f;	val_dir[14960*3 + 1] = 0.968712f;	val_dir[14960*3 + 2] = -0.164887f;
 	val_dir[14961*3 + 0] = 0.202444f;	val_dir[14961*3 + 1] = 0.971732f;	val_dir[14961*3 + 2] = -0.121466f;
 	val_dir[14962*3 + 0] = 0.218347f;	val_dir[14962*3 + 1] = 0.972636f;	val_dir[14962*3 + 2] = -0.079399f;
 	val_dir[14963*3 + 0] = 0.233197f;	val_dir[14963*3 + 1] = 0.971653f;	val_dir[14963*3 + 2] = -0.038866f;
 	val_dir[14964*3 + 0] = 0.247004f;	val_dir[14964*3 + 1] = 0.969015f;	val_dir[14964*3 + 2] = 0.0f;
 	val_dir[14965*3 + 0] = -0.973240f;	val_dir[14965*3 + 1] = -0.228998f;	val_dir[14965*3 + 2] = -0.019083f;
 	val_dir[14966*3 + 0] = -0.974972f;	val_dir[14966*3 + 1] = -0.214494f;	val_dir[14966*3 + 2] = -0.058498f;
 	val_dir[14967*3 + 0] = -0.974943f;	val_dir[14967*3 + 1] = -0.198968f;	val_dir[14967*3 + 2] = -0.099484f;
 	val_dir[14968*3 + 0] = -0.972929f;	val_dir[14968*3 + 1] = -0.182424f;	val_dir[14968*3 + 2] = -0.141885f;
 	val_dir[14969*3 + 0] = -0.968712f;	val_dir[14969*3 + 1] = -0.164887f;	val_dir[14969*3 + 2] = -0.185498f;
 	val_dir[14970*3 + 0] = -0.962099f;	val_dir[14970*3 + 1] = -0.146406f;	val_dir[14970*3 + 2] = -0.230067f;
 	val_dir[14971*3 + 0] = -0.952928f;	val_dir[14971*3 + 1] = -0.127057f;	val_dir[14971*3 + 2] = -0.275290f;
 	val_dir[14972*3 + 0] = -0.941082f;	val_dir[14972*3 + 1] = -0.106941f;	val_dir[14972*3 + 2] = -0.320824f;
 	val_dir[14973*3 + 0] = -0.92650f;	val_dir[14973*3 + 1] = -0.086186f;	val_dir[14973*3 + 2] = -0.366291f;
 	val_dir[14974*3 + 0] = -0.909185f;	val_dir[14974*3 + 1] = -0.064942f;	val_dir[14974*3 + 2] = -0.411298f;
 	val_dir[14975*3 + 0] = -0.889206f;	val_dir[14975*3 + 1] = -0.043376f;	val_dir[14975*3 + 2] = -0.455447f;
 	val_dir[14976*3 + 0] = -0.866703f;	val_dir[14976*3 + 1] = -0.021668f;	val_dir[14976*3 + 2] = -0.498354f;
 	val_dir[14977*3 + 0] = -0.841879f;	val_dir[14977*3 + 1] = 0.0f;	val_dir[14977*3 + 2] = -0.539666f;
 	val_dir[14978*3 + 0] = -0.835215f;	val_dir[14978*3 + 1] = 0.021979f;	val_dir[14978*3 + 2] = -0.549484f;
 	val_dir[14979*3 + 0] = -0.827759f;	val_dir[14979*3 + 1] = 0.044744f;	val_dir[14979*3 + 2] = -0.559297f;
 	val_dir[14980*3 + 0] = -0.819453f;	val_dir[14980*3 + 1] = 0.068288f;	val_dir[14980*3 + 2] = -0.569064f;
 	val_dir[14981*3 + 0] = -0.810237f;	val_dir[14981*3 + 1] = 0.092599f;	val_dir[14981*3 + 2] = -0.578741f;
 	val_dir[14982*3 + 0] = -0.800055f;	val_dir[14982*3 + 1] = 0.117655f;	val_dir[14982*3 + 2] = -0.588276f;
 	val_dir[14983*3 + 0] = -0.788851f;	val_dir[14983*3 + 1] = 0.143427f;	val_dir[14983*3 + 2] = -0.597614f;
 	val_dir[14984*3 + 0] = -0.776571f;	val_dir[14984*3 + 1] = 0.169875f;	val_dir[14984*3 + 2] = -0.606696f;
 	val_dir[14985*3 + 0] = -0.763167f;	val_dir[14985*3 + 1] = 0.196946f;	val_dir[14985*3 + 2] = -0.615457f;
 	val_dir[14986*3 + 0] = -0.748598f;	val_dir[14986*3 + 1] = 0.224579f;	val_dir[14986*3 + 2] = -0.623831f;
 	val_dir[14987*3 + 0] = -0.732828f;	val_dir[14987*3 + 1] = 0.252699f;	val_dir[14987*3 + 2] = -0.631748f;
 	val_dir[14988*3 + 0] = -0.715834f;	val_dir[14988*3 + 1] = 0.281220f;	val_dir[14988*3 + 2] = -0.639138f;
 	val_dir[14989*3 + 0] = -0.697602f;	val_dir[14989*3 + 1] = 0.310045f;	val_dir[14989*3 + 2] = -0.645928f;
 	val_dir[14990*3 + 0] = -0.678133f;	val_dir[14990*3 + 1] = 0.339066f;	val_dir[14990*3 + 2] = -0.652051f;
 	val_dir[14991*3 + 0] = -0.657440f;	val_dir[14991*3 + 1] = 0.368166f;	val_dir[14991*3 + 2] = -0.657440f;
 	val_dir[14992*3 + 0] = -0.635553f;	val_dir[14992*3 + 1] = 0.397220f;	val_dir[14992*3 + 2] = -0.662034f;
 	val_dir[14993*3 + 0] = -0.612517f;	val_dir[14993*3 + 1] = 0.426099f;	val_dir[14993*3 + 2] = -0.665780f;
 	val_dir[14994*3 + 0] = -0.588395f;	val_dir[14994*3 + 1] = 0.454669f;	val_dir[14994*3 + 2] = -0.668631f;
 	val_dir[14995*3 + 0] = -0.563264f;	val_dir[14995*3 + 1] = 0.482798f;	val_dir[14995*3 + 2] = -0.670552f;
 	val_dir[14996*3 + 0] = -0.537215f;	val_dir[14996*3 + 1] = 0.510355f;	val_dir[14996*3 + 2] = -0.671519f;
 	val_dir[14997*3 + 0] = -0.510355f;	val_dir[14997*3 + 1] = 0.537215f;	val_dir[14997*3 + 2] = -0.671519f;
 	val_dir[14998*3 + 0] = -0.482798f;	val_dir[14998*3 + 1] = 0.563264f;	val_dir[14998*3 + 2] = -0.670552f;
 	val_dir[14999*3 + 0] = -0.454669f;	val_dir[14999*3 + 1] = 0.588395f;	val_dir[14999*3 + 2] = -0.668631f;
 	val_dir[15000*3 + 0] = -0.426099f;	val_dir[15000*3 + 1] = 0.612517f;	val_dir[15000*3 + 2] = -0.665780f;
 	val_dir[15001*3 + 0] = -0.397220f;	val_dir[15001*3 + 1] = 0.635553f;	val_dir[15001*3 + 2] = -0.662034f;
 	val_dir[15002*3 + 0] = -0.368166f;	val_dir[15002*3 + 1] = 0.657440f;	val_dir[15002*3 + 2] = -0.657440f;
 	val_dir[15003*3 + 0] = -0.339066f;	val_dir[15003*3 + 1] = 0.678133f;	val_dir[15003*3 + 2] = -0.652051f;
 	val_dir[15004*3 + 0] = -0.310045f;	val_dir[15004*3 + 1] = 0.697602f;	val_dir[15004*3 + 2] = -0.645928f;
 	val_dir[15005*3 + 0] = -0.281220f;	val_dir[15005*3 + 1] = 0.715834f;	val_dir[15005*3 + 2] = -0.639138f;
 	val_dir[15006*3 + 0] = -0.252699f;	val_dir[15006*3 + 1] = 0.732828f;	val_dir[15006*3 + 2] = -0.631748f;
 	val_dir[15007*3 + 0] = -0.224579f;	val_dir[15007*3 + 1] = 0.748598f;	val_dir[15007*3 + 2] = -0.623831f;
 	val_dir[15008*3 + 0] = -0.196946f;	val_dir[15008*3 + 1] = 0.763167f;	val_dir[15008*3 + 2] = -0.615457f;
 	val_dir[15009*3 + 0] = -0.169875f;	val_dir[15009*3 + 1] = 0.776571f;	val_dir[15009*3 + 2] = -0.606696f;
 	val_dir[15010*3 + 0] = -0.143427f;	val_dir[15010*3 + 1] = 0.788851f;	val_dir[15010*3 + 2] = -0.597614f;
 	val_dir[15011*3 + 0] = -0.117655f;	val_dir[15011*3 + 1] = 0.800055f;	val_dir[15011*3 + 2] = -0.588276f;
 	val_dir[15012*3 + 0] = -0.092599f;	val_dir[15012*3 + 1] = 0.810237f;	val_dir[15012*3 + 2] = -0.578741f;
 	val_dir[15013*3 + 0] = -0.068288f;	val_dir[15013*3 + 1] = 0.819453f;	val_dir[15013*3 + 2] = -0.569064f;
 	val_dir[15014*3 + 0] = -0.044744f;	val_dir[15014*3 + 1] = 0.827759f;	val_dir[15014*3 + 2] = -0.559297f;
 	val_dir[15015*3 + 0] = -0.021979f;	val_dir[15015*3 + 1] = 0.835215f;	val_dir[15015*3 + 2] = -0.549484f;
 	val_dir[15016*3 + 0] = 0.0f;	val_dir[15016*3 + 1] = 0.841879f;	val_dir[15016*3 + 2] = -0.539666f;
 	val_dir[15017*3 + 0] = 0.021668f;	val_dir[15017*3 + 1] = 0.866703f;	val_dir[15017*3 + 2] = -0.498354f;
 	val_dir[15018*3 + 0] = 0.043376f;	val_dir[15018*3 + 1] = 0.889206f;	val_dir[15018*3 + 2] = -0.455447f;
 	val_dir[15019*3 + 0] = 0.064942f;	val_dir[15019*3 + 1] = 0.909185f;	val_dir[15019*3 + 2] = -0.411298f;
 	val_dir[15020*3 + 0] = 0.086186f;	val_dir[15020*3 + 1] = 0.92650f;	val_dir[15020*3 + 2] = -0.366291f;
 	val_dir[15021*3 + 0] = 0.106941f;	val_dir[15021*3 + 1] = 0.941082f;	val_dir[15021*3 + 2] = -0.320824f;
 	val_dir[15022*3 + 0] = 0.127057f;	val_dir[15022*3 + 1] = 0.952928f;	val_dir[15022*3 + 2] = -0.275290f;
 	val_dir[15023*3 + 0] = 0.146406f;	val_dir[15023*3 + 1] = 0.962099f;	val_dir[15023*3 + 2] = -0.230067f;
 	val_dir[15024*3 + 0] = 0.164887f;	val_dir[15024*3 + 1] = 0.968712f;	val_dir[15024*3 + 2] = -0.185498f;
 	val_dir[15025*3 + 0] = 0.182424f;	val_dir[15025*3 + 1] = 0.972929f;	val_dir[15025*3 + 2] = -0.141885f;
 	val_dir[15026*3 + 0] = 0.198968f;	val_dir[15026*3 + 1] = 0.974943f;	val_dir[15026*3 + 2] = -0.099484f;
 	val_dir[15027*3 + 0] = 0.214494f;	val_dir[15027*3 + 1] = 0.974972f;	val_dir[15027*3 + 2] = -0.058498f;
 	val_dir[15028*3 + 0] = 0.228998f;	val_dir[15028*3 + 1] = 0.973240f;	val_dir[15028*3 + 2] = -0.019083f;
 	val_dir[15029*3 + 0] = -0.974391f;	val_dir[15029*3 + 1] = -0.224860f;	val_dir[15029*3 + 2] = 0.0f;
 	val_dir[15030*3 + 0] = -0.976804f;	val_dir[15030*3 + 1] = -0.210683f;	val_dir[15030*3 + 2] = -0.038306f;
 	val_dir[15031*3 + 0] = -0.977577f;	val_dir[15031*3 + 1] = -0.195515f;	val_dir[15031*3 + 2] = -0.078206f;
 	val_dir[15032*3 + 0] = -0.976491f;	val_dir[15032*3 + 1] = -0.179355f;	val_dir[15032*3 + 2] = -0.119570f;
 	val_dir[15033*3 + 0] = -0.973329f;	val_dir[15033*3 + 1] = -0.162221f;	val_dir[15033*3 + 2] = -0.162221f;
 	val_dir[15034*3 + 0] = -0.967890f;	val_dir[15034*3 + 1] = -0.144154f;	val_dir[15034*3 + 2] = -0.205934f;
 	val_dir[15035*3 + 0] = -0.960001f;	val_dir[15035*3 + 1] = -0.125218f;	val_dir[15035*3 + 2] = -0.250435f;
 	val_dir[15036*3 + 0] = -0.949528f;	val_dir[15036*3 + 1] = -0.105503f;	val_dir[15036*3 + 2] = -0.295409f;
 	val_dir[15037*3 + 0] = -0.936382f;	val_dir[15037*3 + 1] = -0.085126f;	val_dir[15037*3 + 2] = -0.340503f;
 	val_dir[15038*3 + 0] = -0.920537f;	val_dir[15038*3 + 1] = -0.064223f;	val_dir[15038*3 + 2] = -0.385341f;
 	val_dir[15039*3 + 0] = -0.902027f;	val_dir[15039*3 + 1] = -0.042954f;	val_dir[15039*3 + 2] = -0.429537f;
 	val_dir[15040*3 + 0] = -0.880957f;	val_dir[15040*3 + 1] = -0.021487f;	val_dir[15040*3 + 2] = -0.472709f;
 	val_dir[15041*3 + 0] = -0.857493f;	val_dir[15041*3 + 1] = 0.0f;	val_dir[15041*3 + 2] = -0.514496f;
 	val_dir[15042*3 + 0] = -0.851455f;	val_dir[15042*3 + 1] = 0.021832f;	val_dir[15042*3 + 2] = -0.523973f;
 	val_dir[15043*3 + 0] = -0.844653f;	val_dir[15043*3 + 1] = 0.044455f;	val_dir[15043*3 + 2] = -0.533465f;
 	val_dir[15044*3 + 0] = -0.837027f;	val_dir[15044*3 + 1] = 0.067867f;	val_dir[15044*3 + 2] = -0.542936f;
 	val_dir[15045*3 + 0] = -0.828517f;	val_dir[15045*3 + 1] = 0.092057f;	val_dir[15045*3 + 2] = -0.552345f;
 	val_dir[15046*3 + 0] = -0.819064f;	val_dir[15046*3 + 1] = 0.117009f;	val_dir[15046*3 + 2] = -0.561644f;
 	val_dir[15047*3 + 0] = -0.808608f;	val_dir[15047*3 + 1] = 0.142695f;	val_dir[15047*3 + 2] = -0.570782f;
 	val_dir[15048*3 + 0] = -0.797092f;	val_dir[15048*3 + 1] = 0.169080f;	val_dir[15048*3 + 2] = -0.579703f;
 	val_dir[15049*3 + 0] = -0.784465f;	val_dir[15049*3 + 1] = 0.196116f;	val_dir[15049*3 + 2] = -0.588348f;
 	val_dir[15050*3 + 0] = -0.770677f;	val_dir[15050*3 + 1] = 0.223745f;	val_dir[15050*3 + 2] = -0.596653f;
 	val_dir[15051*3 + 0] = -0.755689f;	val_dir[15051*3 + 1] = 0.251896f;	val_dir[15051*3 + 2] = -0.604551f;
 	val_dir[15052*3 + 0] = -0.739469f;	val_dir[15052*3 + 1] = 0.280488f;	val_dir[15052*3 + 2] = -0.611974f;
 	val_dir[15053*3 + 0] = -0.721995f;	val_dir[15053*3 + 1] = 0.309426f;	val_dir[15053*3 + 2] = -0.618853f;
 	val_dir[15054*3 + 0] = -0.703259f;	val_dir[15054*3 + 1] = 0.338606f;	val_dir[15054*3 + 2] = -0.625119f;
 	val_dir[15055*3 + 0] = -0.683265f;	val_dir[15055*3 + 1] = 0.367912f;	val_dir[15055*3 + 2] = -0.630706f;
 	val_dir[15056*3 + 0] = -0.662034f;	val_dir[15056*3 + 1] = 0.397220f;	val_dir[15056*3 + 2] = -0.635553f;
 	val_dir[15057*3 + 0] = -0.639602f;	val_dir[15057*3 + 1] = 0.426401f;	val_dir[15057*3 + 2] = -0.639602f;
 	val_dir[15058*3 + 0] = -0.616022f;	val_dir[15058*3 + 1] = 0.455321f;	val_dir[15058*3 + 2] = -0.642806f;
 	val_dir[15059*3 + 0] = -0.591364f;	val_dir[15059*3 + 1] = 0.483843f;	val_dir[15059*3 + 2] = -0.645124f;
 	val_dir[15060*3 + 0] = -0.565711f;	val_dir[15060*3 + 1] = 0.511834f;	val_dir[15060*3 + 2] = -0.646527f;
 	val_dir[15061*3 + 0] = -0.539164f;	val_dir[15061*3 + 1] = 0.539164f;	val_dir[15061*3 + 2] = -0.646997f;
 	val_dir[15062*3 + 0] = -0.511834f;	val_dir[15062*3 + 1] = 0.565711f;	val_dir[15062*3 + 2] = -0.646527f;
 	val_dir[15063*3 + 0] = -0.483843f;	val_dir[15063*3 + 1] = 0.591364f;	val_dir[15063*3 + 2] = -0.645124f;
 	val_dir[15064*3 + 0] = -0.455321f;	val_dir[15064*3 + 1] = 0.616022f;	val_dir[15064*3 + 2] = -0.642806f;
 	val_dir[15065*3 + 0] = -0.426401f;	val_dir[15065*3 + 1] = 0.639602f;	val_dir[15065*3 + 2] = -0.639602f;
 	val_dir[15066*3 + 0] = -0.397220f;	val_dir[15066*3 + 1] = 0.662034f;	val_dir[15066*3 + 2] = -0.635553f;
 	val_dir[15067*3 + 0] = -0.367912f;	val_dir[15067*3 + 1] = 0.683265f;	val_dir[15067*3 + 2] = -0.630706f;
 	val_dir[15068*3 + 0] = -0.338606f;	val_dir[15068*3 + 1] = 0.703259f;	val_dir[15068*3 + 2] = -0.625119f;
 	val_dir[15069*3 + 0] = -0.309426f;	val_dir[15069*3 + 1] = 0.721995f;	val_dir[15069*3 + 2] = -0.618853f;
 	val_dir[15070*3 + 0] = -0.280488f;	val_dir[15070*3 + 1] = 0.739469f;	val_dir[15070*3 + 2] = -0.611974f;
 	val_dir[15071*3 + 0] = -0.251896f;	val_dir[15071*3 + 1] = 0.755689f;	val_dir[15071*3 + 2] = -0.604551f;
 	val_dir[15072*3 + 0] = -0.223745f;	val_dir[15072*3 + 1] = 0.770677f;	val_dir[15072*3 + 2] = -0.596653f;
 	val_dir[15073*3 + 0] = -0.196116f;	val_dir[15073*3 + 1] = 0.784465f;	val_dir[15073*3 + 2] = -0.588348f;
 	val_dir[15074*3 + 0] = -0.169080f;	val_dir[15074*3 + 1] = 0.797092f;	val_dir[15074*3 + 2] = -0.579703f;
 	val_dir[15075*3 + 0] = -0.142695f;	val_dir[15075*3 + 1] = 0.808608f;	val_dir[15075*3 + 2] = -0.570782f;
 	val_dir[15076*3 + 0] = -0.117009f;	val_dir[15076*3 + 1] = 0.819064f;	val_dir[15076*3 + 2] = -0.561644f;
 	val_dir[15077*3 + 0] = -0.092057f;	val_dir[15077*3 + 1] = 0.828517f;	val_dir[15077*3 + 2] = -0.552345f;
 	val_dir[15078*3 + 0] = -0.067867f;	val_dir[15078*3 + 1] = 0.837027f;	val_dir[15078*3 + 2] = -0.542936f;
 	val_dir[15079*3 + 0] = -0.044455f;	val_dir[15079*3 + 1] = 0.844653f;	val_dir[15079*3 + 2] = -0.533465f;
 	val_dir[15080*3 + 0] = -0.021832f;	val_dir[15080*3 + 1] = 0.851455f;	val_dir[15080*3 + 2] = -0.523973f;
 	val_dir[15081*3 + 0] = 0.0f;	val_dir[15081*3 + 1] = 0.857493f;	val_dir[15081*3 + 2] = -0.514496f;
 	val_dir[15082*3 + 0] = 0.021487f;	val_dir[15082*3 + 1] = 0.880957f;	val_dir[15082*3 + 2] = -0.472709f;
 	val_dir[15083*3 + 0] = 0.042954f;	val_dir[15083*3 + 1] = 0.902027f;	val_dir[15083*3 + 2] = -0.429537f;
 	val_dir[15084*3 + 0] = 0.064223f;	val_dir[15084*3 + 1] = 0.920537f;	val_dir[15084*3 + 2] = -0.385341f;
 	val_dir[15085*3 + 0] = 0.085126f;	val_dir[15085*3 + 1] = 0.936382f;	val_dir[15085*3 + 2] = -0.340503f;
 	val_dir[15086*3 + 0] = 0.105503f;	val_dir[15086*3 + 1] = 0.949528f;	val_dir[15086*3 + 2] = -0.295409f;
 	val_dir[15087*3 + 0] = 0.125218f;	val_dir[15087*3 + 1] = 0.960001f;	val_dir[15087*3 + 2] = -0.250435f;
 	val_dir[15088*3 + 0] = 0.144154f;	val_dir[15088*3 + 1] = 0.967890f;	val_dir[15088*3 + 2] = -0.205934f;
 	val_dir[15089*3 + 0] = 0.162221f;	val_dir[15089*3 + 1] = 0.973329f;	val_dir[15089*3 + 2] = -0.162221f;
 	val_dir[15090*3 + 0] = 0.179355f;	val_dir[15090*3 + 1] = 0.976491f;	val_dir[15090*3 + 2] = -0.119570f;
 	val_dir[15091*3 + 0] = 0.195515f;	val_dir[15091*3 + 1] = 0.977577f;	val_dir[15091*3 + 2] = -0.078206f;
 	val_dir[15092*3 + 0] = 0.210683f;	val_dir[15092*3 + 1] = 0.976804f;	val_dir[15092*3 + 2] = -0.038306f;
 	val_dir[15093*3 + 0] = 0.224860f;	val_dir[15093*3 + 1] = 0.974391f;	val_dir[15093*3 + 2] = 0.0f;
 	val_dir[15094*3 + 0] = -0.978177f;	val_dir[15094*3 + 1] = -0.206922f;	val_dir[15094*3 + 2] = -0.018811f;
 	val_dir[15095*3 + 0] = -0.979683f;	val_dir[15095*3 + 1] = -0.192095f;	val_dir[15095*3 + 2] = -0.057628f;
 	val_dir[15096*3 + 0] = -0.979451f;	val_dir[15096*3 + 1] = -0.176301f;	val_dir[15096*3 + 2] = -0.097945f;
 	val_dir[15097*3 + 0] = -0.977267f;	val_dir[15097*3 + 1] = -0.159554f;	val_dir[15097*3 + 2] = -0.139610f;
 	val_dir[15098*3 + 0] = -0.972929f;	val_dir[15098*3 + 1] = -0.141885f;	val_dir[15098*3 + 2] = -0.182424f;
 	val_dir[15099*3 + 0] = -0.966252f;	val_dir[15099*3 + 1] = -0.123351f;	val_dir[15099*3 + 2] = -0.226144f;
 	val_dir[15100*3 + 0] = -0.957088f;	val_dir[15100*3 + 1] = -0.104031f;	val_dir[15100*3 + 2] = -0.270481f;
 	val_dir[15101*3 + 0] = -0.945328f;	val_dir[15101*3 + 1] = -0.084029f;	val_dir[15101*3 + 2] = -0.315109f;
 	val_dir[15102*3 + 0] = -0.930917f;	val_dir[15102*3 + 1] = -0.063472f;	val_dir[15102*3 + 2] = -0.359673f;
 	val_dir[15103*3 + 0] = -0.913860f;	val_dir[15103*3 + 1] = -0.042505f;	val_dir[15103*3 + 2] = -0.403799f;
 	val_dir[15104*3 + 0] = -0.894224f;	val_dir[15104*3 + 1] = -0.021291f;	val_dir[15104*3 + 2] = -0.447112f;
 	val_dir[15105*3 + 0] = -0.872143f;	val_dir[15105*3 + 1] = 0.0f;	val_dir[15105*3 + 2] = -0.489251f;
 	val_dir[15106*3 + 0] = -0.866703f;	val_dir[15106*3 + 1] = 0.021668f;	val_dir[15106*3 + 2] = -0.498354f;
 	val_dir[15107*3 + 0] = -0.860527f;	val_dir[15107*3 + 1] = 0.044130f;	val_dir[15107*3 + 2] = -0.507490f;
 	val_dir[15108*3 + 0] = -0.853556f;	val_dir[15108*3 + 1] = 0.067386f;	val_dir[15108*3 + 2] = -0.516626f;
 	val_dir[15109*3 + 0] = -0.845728f;	val_dir[15109*3 + 1] = 0.091430f;	val_dir[15109*3 + 2] = -0.525723f;
 	val_dir[15110*3 + 0] = -0.836983f;	val_dir[15110*3 + 1] = 0.116248f;	val_dir[15110*3 + 2] = -0.534739f;
 	val_dir[15111*3 + 0] = -0.827259f;	val_dir[15111*3 + 1] = 0.141816f;	val_dir[15111*3 + 2] = -0.543627f;
 	val_dir[15112*3 + 0] = -0.816497f;	val_dir[15112*3 + 1] = 0.168102f;	val_dir[15112*3 + 2] = -0.552336f;
 	val_dir[15113*3 + 0] = -0.804639f;	val_dir[15113*3 + 1] = 0.195064f;	val_dir[15113*3 + 2] = -0.560809f;
 	val_dir[15114*3 + 0] = -0.791633f;	val_dir[15114*3 + 1] = 0.222647f;	val_dir[15114*3 + 2] = -0.568986f;
 	val_dir[15115*3 + 0] = -0.777433f;	val_dir[15115*3 + 1] = 0.250785f;	val_dir[15115*3 + 2] = -0.576805f;
 	val_dir[15116*3 + 0] = -0.762001f;	val_dir[15116*3 + 1] = 0.27940f;	val_dir[15116*3 + 2] = -0.584201f;
 	val_dir[15117*3 + 0] = -0.745307f;	val_dir[15117*3 + 1] = 0.308403f;	val_dir[15117*3 + 2] = -0.591105f;
 	val_dir[15118*3 + 0] = -0.727334f;	val_dir[15118*3 + 1] = 0.337691f;	val_dir[15118*3 + 2] = -0.597453f;
 	val_dir[15119*3 + 0] = -0.708079f;	val_dir[15119*3 + 1] = 0.367152f;	val_dir[15119*3 + 2] = -0.603178f;
 	val_dir[15120*3 + 0] = -0.687552f;	val_dir[15120*3 + 1] = 0.396664f;	val_dir[15120*3 + 2] = -0.608219f;
 	val_dir[15121*3 + 0] = -0.665780f;	val_dir[15121*3 + 1] = 0.426099f;	val_dir[15121*3 + 2] = -0.612517f;
 	val_dir[15122*3 + 0] = -0.642806f;	val_dir[15122*3 + 1] = 0.455321f;	val_dir[15122*3 + 2] = -0.616022f;
 	val_dir[15123*3 + 0] = -0.618691f;	val_dir[15123*3 + 1] = 0.484193f;	val_dir[15123*3 + 2] = -0.618691f;
 	val_dir[15124*3 + 0] = -0.593512f;	val_dir[15124*3 + 1] = 0.512578f;	val_dir[15124*3 + 2] = -0.620490f;
 	val_dir[15125*3 + 0] = -0.567360f;	val_dir[15125*3 + 1] = 0.540343f;	val_dir[15125*3 + 2] = -0.621395f;
 	val_dir[15126*3 + 0] = -0.540343f;	val_dir[15126*3 + 1] = 0.567360f;	val_dir[15126*3 + 2] = -0.621395f;
 	val_dir[15127*3 + 0] = -0.512578f;	val_dir[15127*3 + 1] = 0.593512f;	val_dir[15127*3 + 2] = -0.620490f;
 	val_dir[15128*3 + 0] = -0.484193f;	val_dir[15128*3 + 1] = 0.618691f;	val_dir[15128*3 + 2] = -0.618691f;
 	val_dir[15129*3 + 0] = -0.455321f;	val_dir[15129*3 + 1] = 0.642806f;	val_dir[15129*3 + 2] = -0.616022f;
 	val_dir[15130*3 + 0] = -0.426099f;	val_dir[15130*3 + 1] = 0.665780f;	val_dir[15130*3 + 2] = -0.612517f;
 	val_dir[15131*3 + 0] = -0.396664f;	val_dir[15131*3 + 1] = 0.687552f;	val_dir[15131*3 + 2] = -0.608219f;
 	val_dir[15132*3 + 0] = -0.367152f;	val_dir[15132*3 + 1] = 0.708079f;	val_dir[15132*3 + 2] = -0.603178f;
 	val_dir[15133*3 + 0] = -0.337691f;	val_dir[15133*3 + 1] = 0.727334f;	val_dir[15133*3 + 2] = -0.597453f;
 	val_dir[15134*3 + 0] = -0.308403f;	val_dir[15134*3 + 1] = 0.745307f;	val_dir[15134*3 + 2] = -0.591105f;
 	val_dir[15135*3 + 0] = -0.27940f;	val_dir[15135*3 + 1] = 0.762001f;	val_dir[15135*3 + 2] = -0.584201f;
 	val_dir[15136*3 + 0] = -0.250785f;	val_dir[15136*3 + 1] = 0.777433f;	val_dir[15136*3 + 2] = -0.576805f;
 	val_dir[15137*3 + 0] = -0.222647f;	val_dir[15137*3 + 1] = 0.791633f;	val_dir[15137*3 + 2] = -0.568986f;
 	val_dir[15138*3 + 0] = -0.195064f;	val_dir[15138*3 + 1] = 0.804639f;	val_dir[15138*3 + 2] = -0.560809f;
 	val_dir[15139*3 + 0] = -0.168102f;	val_dir[15139*3 + 1] = 0.816497f;	val_dir[15139*3 + 2] = -0.552336f;
 	val_dir[15140*3 + 0] = -0.141816f;	val_dir[15140*3 + 1] = 0.827259f;	val_dir[15140*3 + 2] = -0.543627f;
 	val_dir[15141*3 + 0] = -0.116248f;	val_dir[15141*3 + 1] = 0.836983f;	val_dir[15141*3 + 2] = -0.534739f;
 	val_dir[15142*3 + 0] = -0.091430f;	val_dir[15142*3 + 1] = 0.845728f;	val_dir[15142*3 + 2] = -0.525723f;
 	val_dir[15143*3 + 0] = -0.067386f;	val_dir[15143*3 + 1] = 0.853556f;	val_dir[15143*3 + 2] = -0.516626f;
 	val_dir[15144*3 + 0] = -0.044130f;	val_dir[15144*3 + 1] = 0.860527f;	val_dir[15144*3 + 2] = -0.507490f;
 	val_dir[15145*3 + 0] = -0.021668f;	val_dir[15145*3 + 1] = 0.866703f;	val_dir[15145*3 + 2] = -0.498354f;
 	val_dir[15146*3 + 0] = 0.0f;	val_dir[15146*3 + 1] = 0.872143f;	val_dir[15146*3 + 2] = -0.489251f;
 	val_dir[15147*3 + 0] = 0.021291f;	val_dir[15147*3 + 1] = 0.894224f;	val_dir[15147*3 + 2] = -0.447112f;
 	val_dir[15148*3 + 0] = 0.042505f;	val_dir[15148*3 + 1] = 0.913860f;	val_dir[15148*3 + 2] = -0.403799f;
 	val_dir[15149*3 + 0] = 0.063472f;	val_dir[15149*3 + 1] = 0.930917f;	val_dir[15149*3 + 2] = -0.359673f;
 	val_dir[15150*3 + 0] = 0.084029f;	val_dir[15150*3 + 1] = 0.945328f;	val_dir[15150*3 + 2] = -0.315109f;
 	val_dir[15151*3 + 0] = 0.104031f;	val_dir[15151*3 + 1] = 0.957088f;	val_dir[15151*3 + 2] = -0.270481f;
 	val_dir[15152*3 + 0] = 0.123351f;	val_dir[15152*3 + 1] = 0.966252f;	val_dir[15152*3 + 2] = -0.226144f;
 	val_dir[15153*3 + 0] = 0.141885f;	val_dir[15153*3 + 1] = 0.972929f;	val_dir[15153*3 + 2] = -0.182424f;
 	val_dir[15154*3 + 0] = 0.159554f;	val_dir[15154*3 + 1] = 0.977267f;	val_dir[15154*3 + 2] = -0.139610f;
 	val_dir[15155*3 + 0] = 0.176301f;	val_dir[15155*3 + 1] = 0.979451f;	val_dir[15155*3 + 2] = -0.097945f;
 	val_dir[15156*3 + 0] = 0.192095f;	val_dir[15156*3 + 1] = 0.979683f;	val_dir[15156*3 + 2] = -0.057628f;
 	val_dir[15157*3 + 0] = 0.206922f;	val_dir[15157*3 + 1] = 0.978177f;	val_dir[15157*3 + 2] = -0.018811f;
 	val_dir[15158*3 + 0] = -0.979134f;	val_dir[15158*3 + 1] = -0.203216f;	val_dir[15158*3 + 2] = 0.0f;
 	val_dir[15159*3 + 0] = -0.981307f;	val_dir[15159*3 + 1] = -0.188713f;	val_dir[15159*3 + 2] = -0.037743f;
 	val_dir[15160*3 + 0] = -0.981859f;	val_dir[15160*3 + 1] = -0.173269f;	val_dir[15160*3 + 2] = -0.077009f;
 	val_dir[15161*3 + 0] = -0.980581f;	val_dir[15161*3 + 1] = -0.156893f;	val_dir[15161*3 + 2] = -0.117670f;
 	val_dir[15162*3 + 0] = -0.977267f;	val_dir[15162*3 + 1] = -0.139610f;	val_dir[15162*3 + 2] = -0.159554f;
 	val_dir[15163*3 + 0] = -0.971732f;	val_dir[15163*3 + 1] = -0.121466f;	val_dir[15163*3 + 2] = -0.202444f;
 	val_dir[15164*3 + 0] = -0.963811f;	val_dir[15164*3 + 1] = -0.102533f;	val_dir[15164*3 + 2] = -0.246079f;
 	val_dir[15165*3 + 0] = -0.953381f;	val_dir[15165*3 + 1] = -0.082903f;	val_dir[15165*3 + 2] = -0.290159f;
 	val_dir[15166*3 + 0] = -0.940361f;	val_dir[15166*3 + 1] = -0.062691f;	val_dir[15166*3 + 2] = -0.334351f;
 	val_dir[15167*3 + 0] = -0.924729f;	val_dir[15167*3 + 1] = -0.042033f;	val_dir[15167*3 + 2] = -0.378298f;
 	val_dir[15168*3 + 0] = -0.906520f;	val_dir[15168*3 + 1] = -0.021082f;	val_dir[15168*3 + 2] = -0.421637f;
 	val_dir[15169*3 + 0] = -0.885832f;	val_dir[15169*3 + 1] = 0.0f;	val_dir[15169*3 + 2] = -0.464007f;
 	val_dir[15170*3 + 0] = -0.880957f;	val_dir[15170*3 + 1] = 0.021487f;	val_dir[15170*3 + 2] = -0.472709f;
 	val_dir[15171*3 + 0] = -0.875376f;	val_dir[15171*3 + 1] = 0.043769f;	val_dir[15171*3 + 2] = -0.481457f;
 	val_dir[15172*3 + 0] = -0.869030f;	val_dir[15172*3 + 1] = 0.066848f;	val_dir[15172*3 + 2] = -0.490222f;
 	val_dir[15173*3 + 0] = -0.861857f;	val_dir[15173*3 + 1] = 0.090722f;	val_dir[15173*3 + 2] = -0.498970f;
 	val_dir[15174*3 + 0] = -0.853796f;	val_dir[15174*3 + 1] = 0.115378f;	val_dir[15174*3 + 2] = -0.507662f;
 	val_dir[15175*3 + 0] = -0.844782f;	val_dir[15175*3 + 1] = 0.140797f;	val_dir[15175*3 + 2] = -0.516256f;
 	val_dir[15176*3 + 0] = -0.834754f;	val_dir[15176*3 + 1] = 0.166951f;	val_dir[15176*3 + 2] = -0.524703f;
 	val_dir[15177*3 + 0] = -0.823653f;	val_dir[15177*3 + 1] = 0.193801f;	val_dir[15177*3 + 2] = -0.532952f;
 	val_dir[15178*3 + 0] = -0.811421f;	val_dir[15178*3 + 1] = 0.221297f;	val_dir[15178*3 + 2] = -0.540947f;
 	val_dir[15179*3 + 0] = -0.798007f;	val_dir[15179*3 + 1] = 0.249377f;	val_dir[15179*3 + 2] = -0.548630f;
 	val_dir[15180*3 + 0] = -0.783368f;	val_dir[15180*3 + 1] = 0.277969f;	val_dir[15180*3 + 2] = -0.555939f;
 	val_dir[15181*3 + 0] = -0.767467f;	val_dir[15181*3 + 1] = 0.306987f;	val_dir[15181*3 + 2] = -0.562809f;
 	val_dir[15182*3 + 0] = -0.750279f;	val_dir[15182*3 + 1] = 0.336332f;	val_dir[15182*3 + 2] = -0.569177f;
 	val_dir[15183*3 + 0] = -0.731792f;	val_dir[15183*3 + 1] = 0.365896f;	val_dir[15183*3 + 2] = -0.574979f;
 	val_dir[15184*3 + 0] = -0.712007f;	val_dir[15184*3 + 1] = 0.395559f;	val_dir[15184*3 + 2] = -0.580154f;
 	val_dir[15185*3 + 0] = -0.690942f;	val_dir[15185*3 + 1] = 0.425195f;	val_dir[15185*3 + 2] = -0.584643f;
 	val_dir[15186*3 + 0] = -0.668631f;	val_dir[15186*3 + 1] = 0.454669f;	val_dir[15186*3 + 2] = -0.588395f;
 	val_dir[15187*3 + 0] = -0.645124f;	val_dir[15187*3 + 1] = 0.483843f;	val_dir[15187*3 + 2] = -0.591364f;
 	val_dir[15188*3 + 0] = -0.620490f;	val_dir[15188*3 + 1] = 0.512578f;	val_dir[15188*3 + 2] = -0.593512f;
 	val_dir[15189*3 + 0] = -0.594812f;	val_dir[15189*3 + 1] = 0.540738f;	val_dir[15189*3 + 2] = -0.594812f;
 	val_dir[15190*3 + 0] = -0.568190f;	val_dir[15190*3 + 1] = 0.568190f;	val_dir[15190*3 + 2] = -0.595247f;
 	val_dir[15191*3 + 0] = -0.540738f;	val_dir[15191*3 + 1] = 0.594812f;	val_dir[15191*3 + 2] = -0.594812f;
 	val_dir[15192*3 + 0] = -0.512578f;	val_dir[15192*3 + 1] = 0.620490f;	val_dir[15192*3 + 2] = -0.593512f;
 	val_dir[15193*3 + 0] = -0.483843f;	val_dir[15193*3 + 1] = 0.645124f;	val_dir[15193*3 + 2] = -0.591364f;
 	val_dir[15194*3 + 0] = -0.454669f;	val_dir[15194*3 + 1] = 0.668631f;	val_dir[15194*3 + 2] = -0.588395f;
 	val_dir[15195*3 + 0] = -0.425195f;	val_dir[15195*3 + 1] = 0.690942f;	val_dir[15195*3 + 2] = -0.584643f;
 	val_dir[15196*3 + 0] = -0.395559f;	val_dir[15196*3 + 1] = 0.712007f;	val_dir[15196*3 + 2] = -0.580154f;
 	val_dir[15197*3 + 0] = -0.365896f;	val_dir[15197*3 + 1] = 0.731792f;	val_dir[15197*3 + 2] = -0.574979f;
 	val_dir[15198*3 + 0] = -0.336332f;	val_dir[15198*3 + 1] = 0.750279f;	val_dir[15198*3 + 2] = -0.569177f;
 	val_dir[15199*3 + 0] = -0.306987f;	val_dir[15199*3 + 1] = 0.767467f;	val_dir[15199*3 + 2] = -0.562809f;
 	val_dir[15200*3 + 0] = -0.277969f;	val_dir[15200*3 + 1] = 0.783368f;	val_dir[15200*3 + 2] = -0.555939f;
 	val_dir[15201*3 + 0] = -0.249377f;	val_dir[15201*3 + 1] = 0.798007f;	val_dir[15201*3 + 2] = -0.548630f;
 	val_dir[15202*3 + 0] = -0.221297f;	val_dir[15202*3 + 1] = 0.811421f;	val_dir[15202*3 + 2] = -0.540947f;
 	val_dir[15203*3 + 0] = -0.193801f;	val_dir[15203*3 + 1] = 0.823653f;	val_dir[15203*3 + 2] = -0.532952f;
 	val_dir[15204*3 + 0] = -0.166951f;	val_dir[15204*3 + 1] = 0.834754f;	val_dir[15204*3 + 2] = -0.524703f;
 	val_dir[15205*3 + 0] = -0.140797f;	val_dir[15205*3 + 1] = 0.844782f;	val_dir[15205*3 + 2] = -0.516256f;
 	val_dir[15206*3 + 0] = -0.115378f;	val_dir[15206*3 + 1] = 0.853796f;	val_dir[15206*3 + 2] = -0.507662f;
 	val_dir[15207*3 + 0] = -0.090722f;	val_dir[15207*3 + 1] = 0.861857f;	val_dir[15207*3 + 2] = -0.498970f;
 	val_dir[15208*3 + 0] = -0.066848f;	val_dir[15208*3 + 1] = 0.869030f;	val_dir[15208*3 + 2] = -0.490222f;
 	val_dir[15209*3 + 0] = -0.043769f;	val_dir[15209*3 + 1] = 0.875376f;	val_dir[15209*3 + 2] = -0.481457f;
 	val_dir[15210*3 + 0] = -0.021487f;	val_dir[15210*3 + 1] = 0.880957f;	val_dir[15210*3 + 2] = -0.472709f;
 	val_dir[15211*3 + 0] = 0.0f;	val_dir[15211*3 + 1] = 0.885832f;	val_dir[15211*3 + 2] = -0.464007f;
 	val_dir[15212*3 + 0] = 0.021082f;	val_dir[15212*3 + 1] = 0.906520f;	val_dir[15212*3 + 2] = -0.421637f;
 	val_dir[15213*3 + 0] = 0.042033f;	val_dir[15213*3 + 1] = 0.924729f;	val_dir[15213*3 + 2] = -0.378298f;
 	val_dir[15214*3 + 0] = 0.062691f;	val_dir[15214*3 + 1] = 0.940361f;	val_dir[15214*3 + 2] = -0.334351f;
 	val_dir[15215*3 + 0] = 0.082903f;	val_dir[15215*3 + 1] = 0.953381f;	val_dir[15215*3 + 2] = -0.290159f;
 	val_dir[15216*3 + 0] = 0.102533f;	val_dir[15216*3 + 1] = 0.963811f;	val_dir[15216*3 + 2] = -0.246079f;
 	val_dir[15217*3 + 0] = 0.121466f;	val_dir[15217*3 + 1] = 0.971732f;	val_dir[15217*3 + 2] = -0.202444f;
 	val_dir[15218*3 + 0] = 0.139610f;	val_dir[15218*3 + 1] = 0.977267f;	val_dir[15218*3 + 2] = -0.159554f;
 	val_dir[15219*3 + 0] = 0.156893f;	val_dir[15219*3 + 1] = 0.980581f;	val_dir[15219*3 + 2] = -0.117670f;
 	val_dir[15220*3 + 0] = 0.173269f;	val_dir[15220*3 + 1] = 0.981859f;	val_dir[15220*3 + 2] = -0.077009f;
 	val_dir[15221*3 + 0] = 0.188713f;	val_dir[15221*3 + 1] = 0.981307f;	val_dir[15221*3 + 2] = -0.037743f;
 	val_dir[15222*3 + 0] = 0.203216f;	val_dir[15222*3 + 1] = 0.979134f;	val_dir[15222*3 + 2] = 0.0f;
 	val_dir[15223*3 + 0] = -0.982493f;	val_dir[15223*3 + 1] = -0.185376f;	val_dir[15223*3 + 2] = -0.018538f;
 	val_dir[15224*3 + 0] = -0.983762f;	val_dir[15224*3 + 1] = -0.170267f;	val_dir[15224*3 + 2] = -0.056756f;
 	val_dir[15225*3 + 0] = -0.983318f;	val_dir[15225*3 + 1] = -0.154246f;	val_dir[15225*3 + 2] = -0.096404f;
 	val_dir[15226*3 + 0] = -0.980958f;	val_dir[15226*3 + 1] = -0.137334f;	val_dir[15226*3 + 2] = -0.137334f;
 	val_dir[15227*3 + 0] = -0.976491f;	val_dir[15227*3 + 1] = -0.119570f;	val_dir[15227*3 + 2] = -0.179355f;
 	val_dir[15228*3 + 0] = -0.969746f;	val_dir[15228*3 + 1] = -0.101015f;	val_dir[15228*3 + 2] = -0.222234f;
 	val_dir[15229*3 + 0] = -0.960585f;	val_dir[15229*3 + 1] = -0.081752f;	val_dir[15229*3 + 2] = -0.265694f;
 	val_dir[15230*3 + 0] = -0.948908f;	val_dir[15230*3 + 1] = -0.061885f;	val_dir[15230*3 + 2] = -0.309426f;
 	val_dir[15231*3 + 0] = -0.934665f;	val_dir[15231*3 + 1] = -0.041541f;	val_dir[15231*3 + 2] = -0.353096f;
 	val_dir[15232*3 + 0] = -0.917863f;	val_dir[15232*3 + 1] = -0.020861f;	val_dir[15232*3 + 2] = -0.396350f;
 	val_dir[15233*3 + 0] = -0.898567f;	val_dir[15233*3 + 1] = 0.0f;	val_dir[15233*3 + 2] = -0.438835f;
 	val_dir[15234*3 + 0] = -0.894224f;	val_dir[15234*3 + 1] = 0.021291f;	val_dir[15234*3 + 2] = -0.447112f;
 	val_dir[15235*3 + 0] = -0.889206f;	val_dir[15235*3 + 1] = 0.043376f;	val_dir[15235*3 + 2] = -0.455447f;
 	val_dir[15236*3 + 0] = -0.883452f;	val_dir[15236*3 + 1] = 0.066259f;	val_dir[15236*3 + 2] = -0.463812f;
 	val_dir[15237*3 + 0] = -0.876903f;	val_dir[15237*3 + 1] = 0.089939f;	val_dir[15237*3 + 2] = -0.472178f;
 	val_dir[15238*3 + 0] = -0.869495f;	val_dir[15238*3 + 1] = 0.114407f;	val_dir[15238*3 + 2] = -0.480510f;
 	val_dir[15239*3 + 0] = -0.861164f;	val_dir[15239*3 + 1] = 0.139648f;	val_dir[15239*3 + 2] = -0.488769f;
 	val_dir[15240*3 + 0] = -0.851847f;	val_dir[15240*3 + 1] = 0.165637f;	val_dir[15240*3 + 2] = -0.496911f;
 	val_dir[15241*3 + 0] = -0.841482f;	val_dir[15241*3 + 1] = 0.192339f;	val_dir[15241*3 + 2] = -0.504889f;
 	val_dir[15242*3 + 0] = -0.830009f;	val_dir[15242*3 + 1] = 0.219708f;	val_dir[15242*3 + 2] = -0.512653f;
 	val_dir[15243*3 + 0] = -0.817373f;	val_dir[15243*3 + 1] = 0.247689f;	val_dir[15243*3 + 2] = -0.520146f;
 	val_dir[15244*3 + 0] = -0.803523f;	val_dir[15244*3 + 1] = 0.276211f;	val_dir[15244*3 + 2] = -0.527312f;
 	val_dir[15245*3 + 0] = -0.788419f;	val_dir[15245*3 + 1] = 0.305194f;	val_dir[15245*3 + 2] = -0.534090f;
 	val_dir[15246*3 + 0] = -0.772027f;	val_dir[15246*3 + 1] = 0.334545f;	val_dir[15246*3 + 2] = -0.540419f;
 	val_dir[15247*3 + 0] = -0.754329f;	val_dir[15247*3 + 1] = 0.364159f;	val_dir[15247*3 + 2] = -0.546238f;
 	val_dir[15248*3 + 0] = -0.735316f;	val_dir[15248*3 + 1] = 0.393919f;	val_dir[15248*3 + 2] = -0.551487f;
 	val_dir[15249*3 + 0] = -0.714997f;	val_dir[15249*3 + 1] = 0.423702f;	val_dir[15249*3 + 2] = -0.556108f;
 	val_dir[15250*3 + 0] = -0.693395f;	val_dir[15250*3 + 1] = 0.453374f;	val_dir[15250*3 + 2] = -0.560050f;
 	val_dir[15251*3 + 0] = -0.670552f;	val_dir[15251*3 + 1] = 0.482798f;	val_dir[15251*3 + 2] = -0.563264f;
 	val_dir[15252*3 + 0] = -0.646527f;	val_dir[15252*3 + 1] = 0.511834f;	val_dir[15252*3 + 2] = -0.565711f;
 	val_dir[15253*3 + 0] = -0.621395f;	val_dir[15253*3 + 1] = 0.540343f;	val_dir[15253*3 + 2] = -0.567360f;
 	val_dir[15254*3 + 0] = -0.595247f;	val_dir[15254*3 + 1] = 0.568190f;	val_dir[15254*3 + 2] = -0.568190f;
 	val_dir[15255*3 + 0] = -0.568190f;	val_dir[15255*3 + 1] = 0.595247f;	val_dir[15255*3 + 2] = -0.568190f;
 	val_dir[15256*3 + 0] = -0.540343f;	val_dir[15256*3 + 1] = 0.621395f;	val_dir[15256*3 + 2] = -0.567360f;
 	val_dir[15257*3 + 0] = -0.511834f;	val_dir[15257*3 + 1] = 0.646527f;	val_dir[15257*3 + 2] = -0.565711f;
 	val_dir[15258*3 + 0] = -0.482798f;	val_dir[15258*3 + 1] = 0.670552f;	val_dir[15258*3 + 2] = -0.563264f;
 	val_dir[15259*3 + 0] = -0.453374f;	val_dir[15259*3 + 1] = 0.693395f;	val_dir[15259*3 + 2] = -0.560050f;
 	val_dir[15260*3 + 0] = -0.423702f;	val_dir[15260*3 + 1] = 0.714997f;	val_dir[15260*3 + 2] = -0.556108f;
 	val_dir[15261*3 + 0] = -0.393919f;	val_dir[15261*3 + 1] = 0.735316f;	val_dir[15261*3 + 2] = -0.551487f;
 	val_dir[15262*3 + 0] = -0.364159f;	val_dir[15262*3 + 1] = 0.754329f;	val_dir[15262*3 + 2] = -0.546238f;
 	val_dir[15263*3 + 0] = -0.334545f;	val_dir[15263*3 + 1] = 0.772027f;	val_dir[15263*3 + 2] = -0.540419f;
 	val_dir[15264*3 + 0] = -0.305194f;	val_dir[15264*3 + 1] = 0.788419f;	val_dir[15264*3 + 2] = -0.534090f;
 	val_dir[15265*3 + 0] = -0.276211f;	val_dir[15265*3 + 1] = 0.803523f;	val_dir[15265*3 + 2] = -0.527312f;
 	val_dir[15266*3 + 0] = -0.247689f;	val_dir[15266*3 + 1] = 0.817373f;	val_dir[15266*3 + 2] = -0.520146f;
 	val_dir[15267*3 + 0] = -0.219708f;	val_dir[15267*3 + 1] = 0.830009f;	val_dir[15267*3 + 2] = -0.512653f;
 	val_dir[15268*3 + 0] = -0.192339f;	val_dir[15268*3 + 1] = 0.841482f;	val_dir[15268*3 + 2] = -0.504889f;
 	val_dir[15269*3 + 0] = -0.165637f;	val_dir[15269*3 + 1] = 0.851847f;	val_dir[15269*3 + 2] = -0.496911f;
 	val_dir[15270*3 + 0] = -0.139648f;	val_dir[15270*3 + 1] = 0.861164f;	val_dir[15270*3 + 2] = -0.488769f;
 	val_dir[15271*3 + 0] = -0.114407f;	val_dir[15271*3 + 1] = 0.869495f;	val_dir[15271*3 + 2] = -0.480510f;
 	val_dir[15272*3 + 0] = -0.089939f;	val_dir[15272*3 + 1] = 0.876903f;	val_dir[15272*3 + 2] = -0.472178f;
 	val_dir[15273*3 + 0] = -0.066259f;	val_dir[15273*3 + 1] = 0.883452f;	val_dir[15273*3 + 2] = -0.463812f;
 	val_dir[15274*3 + 0] = -0.043376f;	val_dir[15274*3 + 1] = 0.889206f;	val_dir[15274*3 + 2] = -0.455447f;
 	val_dir[15275*3 + 0] = -0.021291f;	val_dir[15275*3 + 1] = 0.894224f;	val_dir[15275*3 + 2] = -0.447112f;
 	val_dir[15276*3 + 0] = 0.0f;	val_dir[15276*3 + 1] = 0.898567f;	val_dir[15276*3 + 2] = -0.438835f;
 	val_dir[15277*3 + 0] = 0.020861f;	val_dir[15277*3 + 1] = 0.917863f;	val_dir[15277*3 + 2] = -0.396350f;
 	val_dir[15278*3 + 0] = 0.041541f;	val_dir[15278*3 + 1] = 0.934665f;	val_dir[15278*3 + 2] = -0.353096f;
 	val_dir[15279*3 + 0] = 0.061885f;	val_dir[15279*3 + 1] = 0.948908f;	val_dir[15279*3 + 2] = -0.309426f;
 	val_dir[15280*3 + 0] = 0.081752f;	val_dir[15280*3 + 1] = 0.960585f;	val_dir[15280*3 + 2] = -0.265694f;
 	val_dir[15281*3 + 0] = 0.101015f;	val_dir[15281*3 + 1] = 0.969746f;	val_dir[15281*3 + 2] = -0.222234f;
 	val_dir[15282*3 + 0] = 0.119570f;	val_dir[15282*3 + 1] = 0.976491f;	val_dir[15282*3 + 2] = -0.179355f;
 	val_dir[15283*3 + 0] = 0.137334f;	val_dir[15283*3 + 1] = 0.980958f;	val_dir[15283*3 + 2] = -0.137334f;
 	val_dir[15284*3 + 0] = 0.154246f;	val_dir[15284*3 + 1] = 0.983318f;	val_dir[15284*3 + 2] = -0.096404f;
 	val_dir[15285*3 + 0] = 0.170267f;	val_dir[15285*3 + 1] = 0.983762f;	val_dir[15285*3 + 2] = -0.056756f;
 	val_dir[15286*3 + 0] = 0.185376f;	val_dir[15286*3 + 1] = 0.982493f;	val_dir[15286*3 + 2] = -0.018538f;
 	val_dir[15287*3 + 0] = -0.983282f;	val_dir[15287*3 + 1] = -0.182089f;	val_dir[15287*3 + 2] = 0.0f;
 	val_dir[15288*3 + 0] = -0.985205f;	val_dir[15288*3 + 1] = -0.167299f;	val_dir[15288*3 + 2] = -0.037178f;
 	val_dir[15289*3 + 0] = -0.985527f;	val_dir[15289*3 + 1] = -0.151620f;	val_dir[15289*3 + 2] = -0.075810f;
 	val_dir[15290*3 + 0] = -0.984050f;	val_dir[15290*3 + 1] = -0.135066f;	val_dir[15290*3 + 2] = -0.115771f;
 	val_dir[15291*3 + 0] = -0.980581f;	val_dir[15291*3 + 1] = -0.117670f;	val_dir[15291*3 + 2] = -0.156893f;
 	val_dir[15292*3 + 0] = -0.974943f;	val_dir[15292*3 + 1] = -0.099484f;	val_dir[15292*3 + 2] = -0.198968f;
 	val_dir[15293*3 + 0] = -0.966988f;	val_dir[15293*3 + 1] = -0.080582f;	val_dir[15293*3 + 2] = -0.241747f;
 	val_dir[15294*3 + 0] = -0.956597f;	val_dir[15294*3 + 1] = -0.061059f;	val_dir[15294*3 + 2] = -0.284944f;
 	val_dir[15295*3 + 0] = -0.943701f;	val_dir[15295*3 + 1] = -0.041030f;	val_dir[15295*3 + 2] = -0.328244f;
 	val_dir[15296*3 + 0] = -0.928279f;	val_dir[15296*3 + 1] = -0.020628f;	val_dir[15296*3 + 2] = -0.371312f;
 	val_dir[15297*3 + 0] = -0.910366f;	val_dir[15297*3 + 1] = 0.0f;	val_dir[15297*3 + 2] = -0.413803f;
 	val_dir[15298*3 + 0] = -0.906520f;	val_dir[15298*3 + 1] = 0.021082f;	val_dir[15298*3 + 2] = -0.421637f;
 	val_dir[15299*3 + 0] = -0.902027f;	val_dir[15299*3 + 1] = 0.042954f;	val_dir[15299*3 + 2] = -0.429537f;
 	val_dir[15300*3 + 0] = -0.896831f;	val_dir[15300*3 + 1] = 0.065622f;	val_dir[15300*3 + 2] = -0.437479f;
 	val_dir[15301*3 + 0] = -0.890871f;	val_dir[15301*3 + 1] = 0.089087f;	val_dir[15301*3 + 2] = -0.445435f;
 	val_dir[15302*3 + 0] = -0.884083f;	val_dir[15302*3 + 1] = 0.113344f;	val_dir[15302*3 + 2] = -0.453376f;
 	val_dir[15303*3 + 0] = -0.876405f;	val_dir[15303*3 + 1] = 0.138380f;	val_dir[15303*3 + 2] = -0.461266f;
 	val_dir[15304*3 + 0] = -0.867770f;	val_dir[15304*3 + 1] = 0.164173f;	val_dir[15304*3 + 2] = -0.469065f;
 	val_dir[15305*3 + 0] = -0.858116f;	val_dir[15305*3 + 1] = 0.190693f;	val_dir[15305*3 + 2] = -0.476731f;
 	val_dir[15306*3 + 0] = -0.847381f;	val_dir[15306*3 + 1] = 0.217898f;	val_dir[15306*3 + 2] = -0.484217f;
 	val_dir[15307*3 + 0] = -0.835504f;	val_dir[15307*3 + 1] = 0.245737f;	val_dir[15307*3 + 2] = -0.491473f;
 	val_dir[15308*3 + 0] = -0.822434f;	val_dir[15308*3 + 1] = 0.274145f;	val_dir[15308*3 + 2] = -0.498445f;
 	val_dir[15309*3 + 0] = -0.808122f;	val_dir[15309*3 + 1] = 0.303046f;	val_dir[15309*3 + 2] = -0.505076f;
 	val_dir[15310*3 + 0] = -0.792530f;	val_dir[15310*3 + 1] = 0.332352f;	val_dir[15310*3 + 2] = -0.511310f;
 	val_dir[15311*3 + 0] = -0.775632f;	val_dir[15311*3 + 1] = 0.361961f;	val_dir[15311*3 + 2] = -0.517088f;
 	val_dir[15312*3 + 0] = -0.757410f;	val_dir[15312*3 + 1] = 0.391764f;	val_dir[15312*3 + 2] = -0.522352f;
 	val_dir[15313*3 + 0] = -0.737865f;	val_dir[15313*3 + 1] = 0.421637f;	val_dir[15313*3 + 2] = -0.527046f;
 	val_dir[15314*3 + 0] = -0.717011f;	val_dir[15314*3 + 1] = 0.451451f;	val_dir[15314*3 + 2] = -0.531119f;
 	val_dir[15315*3 + 0] = -0.694879f;	val_dir[15315*3 + 1] = 0.481070f;	val_dir[15315*3 + 2] = -0.534522f;
 	val_dir[15316*3 + 0] = -0.671519f;	val_dir[15316*3 + 1] = 0.510355f;	val_dir[15316*3 + 2] = -0.537215f;
 	val_dir[15317*3 + 0] = -0.646997f;	val_dir[15317*3 + 1] = 0.539164f;	val_dir[15317*3 + 2] = -0.539164f;
 	val_dir[15318*3 + 0] = -0.621395f;	val_dir[15318*3 + 1] = 0.567360f;	val_dir[15318*3 + 2] = -0.540343f;
 	val_dir[15319*3 + 0] = -0.594812f;	val_dir[15319*3 + 1] = 0.594812f;	val_dir[15319*3 + 2] = -0.540738f;
 	val_dir[15320*3 + 0] = -0.567360f;	val_dir[15320*3 + 1] = 0.621395f;	val_dir[15320*3 + 2] = -0.540343f;
 	val_dir[15321*3 + 0] = -0.539164f;	val_dir[15321*3 + 1] = 0.646997f;	val_dir[15321*3 + 2] = -0.539164f;
 	val_dir[15322*3 + 0] = -0.510355f;	val_dir[15322*3 + 1] = 0.671519f;	val_dir[15322*3 + 2] = -0.537215f;
 	val_dir[15323*3 + 0] = -0.481070f;	val_dir[15323*3 + 1] = 0.694879f;	val_dir[15323*3 + 2] = -0.534522f;
 	val_dir[15324*3 + 0] = -0.451451f;	val_dir[15324*3 + 1] = 0.717011f;	val_dir[15324*3 + 2] = -0.531119f;
 	val_dir[15325*3 + 0] = -0.421637f;	val_dir[15325*3 + 1] = 0.737865f;	val_dir[15325*3 + 2] = -0.527046f;
 	val_dir[15326*3 + 0] = -0.391764f;	val_dir[15326*3 + 1] = 0.757410f;	val_dir[15326*3 + 2] = -0.522352f;
 	val_dir[15327*3 + 0] = -0.361961f;	val_dir[15327*3 + 1] = 0.775632f;	val_dir[15327*3 + 2] = -0.517088f;
 	val_dir[15328*3 + 0] = -0.332352f;	val_dir[15328*3 + 1] = 0.792530f;	val_dir[15328*3 + 2] = -0.511310f;
 	val_dir[15329*3 + 0] = -0.303046f;	val_dir[15329*3 + 1] = 0.808122f;	val_dir[15329*3 + 2] = -0.505076f;
 	val_dir[15330*3 + 0] = -0.274145f;	val_dir[15330*3 + 1] = 0.822434f;	val_dir[15330*3 + 2] = -0.498445f;
 	val_dir[15331*3 + 0] = -0.245737f;	val_dir[15331*3 + 1] = 0.835504f;	val_dir[15331*3 + 2] = -0.491473f;
 	val_dir[15332*3 + 0] = -0.217898f;	val_dir[15332*3 + 1] = 0.847381f;	val_dir[15332*3 + 2] = -0.484217f;
 	val_dir[15333*3 + 0] = -0.190693f;	val_dir[15333*3 + 1] = 0.858116f;	val_dir[15333*3 + 2] = -0.476731f;
 	val_dir[15334*3 + 0] = -0.164173f;	val_dir[15334*3 + 1] = 0.867770f;	val_dir[15334*3 + 2] = -0.469065f;
 	val_dir[15335*3 + 0] = -0.138380f;	val_dir[15335*3 + 1] = 0.876405f;	val_dir[15335*3 + 2] = -0.461266f;
 	val_dir[15336*3 + 0] = -0.113344f;	val_dir[15336*3 + 1] = 0.884083f;	val_dir[15336*3 + 2] = -0.453376f;
 	val_dir[15337*3 + 0] = -0.089087f;	val_dir[15337*3 + 1] = 0.890871f;	val_dir[15337*3 + 2] = -0.445435f;
 	val_dir[15338*3 + 0] = -0.065622f;	val_dir[15338*3 + 1] = 0.896831f;	val_dir[15338*3 + 2] = -0.437479f;
 	val_dir[15339*3 + 0] = -0.042954f;	val_dir[15339*3 + 1] = 0.902027f;	val_dir[15339*3 + 2] = -0.429537f;
 	val_dir[15340*3 + 0] = -0.021082f;	val_dir[15340*3 + 1] = 0.906520f;	val_dir[15340*3 + 2] = -0.421637f;
 	val_dir[15341*3 + 0] = 0.0f;	val_dir[15341*3 + 1] = 0.910366f;	val_dir[15341*3 + 2] = -0.413803f;
 	val_dir[15342*3 + 0] = 0.020628f;	val_dir[15342*3 + 1] = 0.928279f;	val_dir[15342*3 + 2] = -0.371312f;
 	val_dir[15343*3 + 0] = 0.041030f;	val_dir[15343*3 + 1] = 0.943701f;	val_dir[15343*3 + 2] = -0.328244f;
 	val_dir[15344*3 + 0] = 0.061059f;	val_dir[15344*3 + 1] = 0.956597f;	val_dir[15344*3 + 2] = -0.284944f;
 	val_dir[15345*3 + 0] = 0.080582f;	val_dir[15345*3 + 1] = 0.966988f;	val_dir[15345*3 + 2] = -0.241747f;
 	val_dir[15346*3 + 0] = 0.099484f;	val_dir[15346*3 + 1] = 0.974943f;	val_dir[15346*3 + 2] = -0.198968f;
 	val_dir[15347*3 + 0] = 0.117670f;	val_dir[15347*3 + 1] = 0.980581f;	val_dir[15347*3 + 2] = -0.156893f;
 	val_dir[15348*3 + 0] = 0.135066f;	val_dir[15348*3 + 1] = 0.984050f;	val_dir[15348*3 + 2] = -0.115771f;
 	val_dir[15349*3 + 0] = 0.151620f;	val_dir[15349*3 + 1] = 0.985527f;	val_dir[15349*3 + 2] = -0.075810f;
 	val_dir[15350*3 + 0] = 0.167299f;	val_dir[15350*3 + 1] = 0.985205f;	val_dir[15350*3 + 2] = -0.037178f;
 	val_dir[15351*3 + 0] = 0.182089f;	val_dir[15351*3 + 1] = 0.983282f;	val_dir[15351*3 + 2] = 0.0f;
 	val_dir[15352*3 + 0] = -0.986229f;	val_dir[15352*3 + 1] = -0.164372f;	val_dir[15352*3 + 2] = -0.018264f;
 	val_dir[15353*3 + 0] = -0.987254f;	val_dir[15353*3 + 1] = -0.149019f;	val_dir[15353*3 + 2] = -0.055882f;
 	val_dir[15354*3 + 0] = -0.986591f;	val_dir[15354*3 + 1] = -0.132810f;	val_dir[15354*3 + 2] = -0.094865f;
 	val_dir[15355*3 + 0] = -0.984050f;	val_dir[15355*3 + 1] = -0.115771f;	val_dir[15355*3 + 2] = -0.135066f;
 	val_dir[15356*3 + 0] = -0.979451f;	val_dir[15356*3 + 1] = -0.097945f;	val_dir[15356*3 + 2] = -0.176301f;
 	val_dir[15357*3 + 0] = -0.972636f;	val_dir[15357*3 + 1] = -0.079399f;	val_dir[15357*3 + 2] = -0.218347f;
 	val_dir[15358*3 + 0] = -0.963475f;	val_dir[15358*3 + 1] = -0.060217f;	val_dir[15358*3 + 2] = -0.260941f;
 	val_dir[15359*3 + 0] = -0.951877f;	val_dir[15359*3 + 1] = -0.040505f;	val_dir[15359*3 + 2] = -0.303791f;
 	val_dir[15360*3 + 0] = -0.93780f;	val_dir[15360*3 + 1] = -0.020387f;	val_dir[15360*3 + 2] = -0.346578f;
 	val_dir[15361*3 + 0] = -0.921250f;	val_dir[15361*3 + 1] = 0.0f;	val_dir[15361*3 + 2] = -0.388972f;
 	val_dir[15362*3 + 0] = -0.917863f;	val_dir[15362*3 + 1] = 0.020861f;	val_dir[15362*3 + 2] = -0.396350f;
 	val_dir[15363*3 + 0] = -0.913860f;	val_dir[15363*3 + 1] = 0.042505f;	val_dir[15363*3 + 2] = -0.403799f;
 	val_dir[15364*3 + 0] = -0.909185f;	val_dir[15364*3 + 1] = 0.064942f;	val_dir[15364*3 + 2] = -0.411298f;
 	val_dir[15365*3 + 0] = -0.903777f;	val_dir[15365*3 + 1] = 0.088173f;	val_dir[15365*3 + 2] = -0.418823f;
 	val_dir[15366*3 + 0] = -0.897574f;	val_dir[15366*3 + 1] = 0.112197f;	val_dir[15366*3 + 2] = -0.426348f;
 	val_dir[15367*3 + 0] = -0.890513f;	val_dir[15367*3 + 1] = 0.137002f;	val_dir[15367*3 + 2] = -0.433840f;
 	val_dir[15368*3 + 0] = -0.882528f;	val_dir[15368*3 + 1] = 0.162571f;	val_dir[15368*3 + 2] = -0.441264f;
 	val_dir[15369*3 + 0] = -0.873555f;	val_dir[15369*3 + 1] = 0.188877f;	val_dir[15369*3 + 2] = -0.448583f;
 	val_dir[15370*3 + 0] = -0.863530f;	val_dir[15370*3 + 1] = 0.215883f;	val_dir[15370*3 + 2] = -0.455752f;
 	val_dir[15371*3 + 0] = -0.852392f;	val_dir[15371*3 + 1] = 0.243541f;	val_dir[15371*3 + 2] = -0.462727f;
 	val_dir[15372*3 + 0] = -0.840083f;	val_dir[15372*3 + 1] = 0.271791f;	val_dir[15372*3 + 2] = -0.469458f;
 	val_dir[15373*3 + 0] = -0.826551f;	val_dir[15373*3 + 1] = 0.300564f;	val_dir[15373*3 + 2] = -0.475893f;
 	val_dir[15374*3 + 0] = -0.811754f;	val_dir[15374*3 + 1] = 0.329775f;	val_dir[15374*3 + 2] = -0.481979f;
 	val_dir[15375*3 + 0] = -0.795657f;	val_dir[15375*3 + 1] = 0.359329f;	val_dir[15375*3 + 2] = -0.487661f;
 	val_dir[15376*3 + 0] = -0.778237f;	val_dir[15376*3 + 1] = 0.389118f;	val_dir[15376*3 + 2] = -0.492883f;
 	val_dir[15377*3 + 0] = -0.759485f;	val_dir[15377*3 + 1] = 0.419026f;	val_dir[15377*3 + 2] = -0.497594f;
 	val_dir[15378*3 + 0] = -0.739407f;	val_dir[15378*3 + 1] = 0.448926f;	val_dir[15378*3 + 2] = -0.501740f;
 	val_dir[15379*3 + 0] = -0.718024f;	val_dir[15379*3 + 1] = 0.478683f;	val_dir[15379*3 + 2] = -0.505276f;
 	val_dir[15380*3 + 0] = -0.695376f;	val_dir[15380*3 + 1] = 0.508159f;	val_dir[15380*3 + 2] = -0.508159f;
 	val_dir[15381*3 + 0] = -0.671519f;	val_dir[15381*3 + 1] = 0.537215f;	val_dir[15381*3 + 2] = -0.510355f;
 	val_dir[15382*3 + 0] = -0.646527f;	val_dir[15382*3 + 1] = 0.565711f;	val_dir[15382*3 + 2] = -0.511834f;
 	val_dir[15383*3 + 0] = -0.620490f;	val_dir[15383*3 + 1] = 0.593512f;	val_dir[15383*3 + 2] = -0.512578f;
 	val_dir[15384*3 + 0] = -0.593512f;	val_dir[15384*3 + 1] = 0.620490f;	val_dir[15384*3 + 2] = -0.512578f;
 	val_dir[15385*3 + 0] = -0.565711f;	val_dir[15385*3 + 1] = 0.646527f;	val_dir[15385*3 + 2] = -0.511834f;
 	val_dir[15386*3 + 0] = -0.537215f;	val_dir[15386*3 + 1] = 0.671519f;	val_dir[15386*3 + 2] = -0.510355f;
 	val_dir[15387*3 + 0] = -0.508159f;	val_dir[15387*3 + 1] = 0.695376f;	val_dir[15387*3 + 2] = -0.508159f;
 	val_dir[15388*3 + 0] = -0.478683f;	val_dir[15388*3 + 1] = 0.718024f;	val_dir[15388*3 + 2] = -0.505276f;
 	val_dir[15389*3 + 0] = -0.448926f;	val_dir[15389*3 + 1] = 0.739407f;	val_dir[15389*3 + 2] = -0.501740f;
 	val_dir[15390*3 + 0] = -0.419026f;	val_dir[15390*3 + 1] = 0.759485f;	val_dir[15390*3 + 2] = -0.497594f;
 	val_dir[15391*3 + 0] = -0.389118f;	val_dir[15391*3 + 1] = 0.778237f;	val_dir[15391*3 + 2] = -0.492883f;
 	val_dir[15392*3 + 0] = -0.359329f;	val_dir[15392*3 + 1] = 0.795657f;	val_dir[15392*3 + 2] = -0.487661f;
 	val_dir[15393*3 + 0] = -0.329775f;	val_dir[15393*3 + 1] = 0.811754f;	val_dir[15393*3 + 2] = -0.481979f;
 	val_dir[15394*3 + 0] = -0.300564f;	val_dir[15394*3 + 1] = 0.826551f;	val_dir[15394*3 + 2] = -0.475893f;
 	val_dir[15395*3 + 0] = -0.271791f;	val_dir[15395*3 + 1] = 0.840083f;	val_dir[15395*3 + 2] = -0.469458f;
 	val_dir[15396*3 + 0] = -0.243541f;	val_dir[15396*3 + 1] = 0.852392f;	val_dir[15396*3 + 2] = -0.462727f;
 	val_dir[15397*3 + 0] = -0.215883f;	val_dir[15397*3 + 1] = 0.863530f;	val_dir[15397*3 + 2] = -0.455752f;
 	val_dir[15398*3 + 0] = -0.188877f;	val_dir[15398*3 + 1] = 0.873555f;	val_dir[15398*3 + 2] = -0.448583f;
 	val_dir[15399*3 + 0] = -0.162571f;	val_dir[15399*3 + 1] = 0.882528f;	val_dir[15399*3 + 2] = -0.441264f;
 	val_dir[15400*3 + 0] = -0.137002f;	val_dir[15400*3 + 1] = 0.890513f;	val_dir[15400*3 + 2] = -0.433840f;
 	val_dir[15401*3 + 0] = -0.112197f;	val_dir[15401*3 + 1] = 0.897574f;	val_dir[15401*3 + 2] = -0.426348f;
 	val_dir[15402*3 + 0] = -0.088173f;	val_dir[15402*3 + 1] = 0.903777f;	val_dir[15402*3 + 2] = -0.418823f;
 	val_dir[15403*3 + 0] = -0.064942f;	val_dir[15403*3 + 1] = 0.909185f;	val_dir[15403*3 + 2] = -0.411298f;
 	val_dir[15404*3 + 0] = -0.042505f;	val_dir[15404*3 + 1] = 0.913860f;	val_dir[15404*3 + 2] = -0.403799f;
 	val_dir[15405*3 + 0] = -0.020861f;	val_dir[15405*3 + 1] = 0.917863f;	val_dir[15405*3 + 2] = -0.396350f;
 	val_dir[15406*3 + 0] = 0.0f;	val_dir[15406*3 + 1] = 0.921250f;	val_dir[15406*3 + 2] = -0.388972f;
 	val_dir[15407*3 + 0] = 0.020387f;	val_dir[15407*3 + 1] = 0.93780f;	val_dir[15407*3 + 2] = -0.346578f;
 	val_dir[15408*3 + 0] = 0.040505f;	val_dir[15408*3 + 1] = 0.951877f;	val_dir[15408*3 + 2] = -0.303791f;
 	val_dir[15409*3 + 0] = 0.060217f;	val_dir[15409*3 + 1] = 0.963475f;	val_dir[15409*3 + 2] = -0.260941f;
 	val_dir[15410*3 + 0] = 0.079399f;	val_dir[15410*3 + 1] = 0.972636f;	val_dir[15410*3 + 2] = -0.218347f;
 	val_dir[15411*3 + 0] = 0.097945f;	val_dir[15411*3 + 1] = 0.979451f;	val_dir[15411*3 + 2] = -0.176301f;
 	val_dir[15412*3 + 0] = 0.115771f;	val_dir[15412*3 + 1] = 0.984050f;	val_dir[15412*3 + 2] = -0.135066f;
 	val_dir[15413*3 + 0] = 0.132810f;	val_dir[15413*3 + 1] = 0.986591f;	val_dir[15413*3 + 2] = -0.094865f;
 	val_dir[15414*3 + 0] = 0.149019f;	val_dir[15414*3 + 1] = 0.987254f;	val_dir[15414*3 + 2] = -0.055882f;
 	val_dir[15415*3 + 0] = 0.164372f;	val_dir[15415*3 + 1] = 0.986229f;	val_dir[15415*3 + 2] = -0.018264f;
 	val_dir[15416*3 + 0] = -0.986875f;	val_dir[15416*3 + 1] = -0.161489f;	val_dir[15416*3 + 2] = 0.0f;
 	val_dir[15417*3 + 0] = -0.988540f;	val_dir[15417*3 + 1] = -0.146450f;	val_dir[15417*3 + 2] = -0.036613f;
 	val_dir[15418*3 + 0] = -0.988627f;	val_dir[15418*3 + 1] = -0.130573f;	val_dir[15418*3 + 2] = -0.074613f;
 	val_dir[15419*3 + 0] = -0.986947f;	val_dir[15419*3 + 1] = -0.113878f;	val_dir[15419*3 + 2] = -0.113878f;
 	val_dir[15420*3 + 0] = -0.983318f;	val_dir[15420*3 + 1] = -0.096404f;	val_dir[15420*3 + 2] = -0.154246f;
 	val_dir[15421*3 + 0] = -0.977577f;	val_dir[15421*3 + 1] = -0.078206f;	val_dir[15421*3 + 2] = -0.195515f;
 	val_dir[15422*3 + 0] = -0.969584f;	val_dir[15422*3 + 1] = -0.059362f;	val_dir[15422*3 + 2] = -0.237449f;
 	val_dir[15423*3 + 0] = -0.959233f;	val_dir[15423*3 + 1] = -0.039968f;	val_dir[15423*3 + 2] = -0.279776f;
 	val_dir[15424*3 + 0] = -0.946458f;	val_dir[15424*3 + 1] = -0.020137f;	val_dir[15424*3 + 2] = -0.322198f;
 	val_dir[15425*3 + 0] = -0.931243f;	val_dir[15425*3 + 1] = 0.0f;	val_dir[15425*3 + 2] = -0.364399f;
 	val_dir[15426*3 + 0] = -0.928279f;	val_dir[15426*3 + 1] = 0.020628f;	val_dir[15426*3 + 2] = -0.371312f;
 	val_dir[15427*3 + 0] = -0.924729f;	val_dir[15427*3 + 1] = 0.042033f;	val_dir[15427*3 + 2] = -0.378298f;
 	val_dir[15428*3 + 0] = -0.920537f;	val_dir[15428*3 + 1] = 0.064223f;	val_dir[15428*3 + 2] = -0.385341f;
 	val_dir[15429*3 + 0] = -0.915644f;	val_dir[15429*3 + 1] = 0.087204f;	val_dir[15429*3 + 2] = -0.392419f;
 	val_dir[15430*3 + 0] = -0.909988f;	val_dir[15430*3 + 1] = 0.110974f;	val_dir[15430*3 + 2] = -0.399507f;
 	val_dir[15431*3 + 0] = -0.903508f;	val_dir[15431*3 + 1] = 0.135526f;	val_dir[15431*3 + 2] = -0.406579f;
 	val_dir[15432*3 + 0] = -0.896137f;	val_dir[15432*3 + 1] = 0.160845f;	val_dir[15432*3 + 2] = -0.413602f;
 	val_dir[15433*3 + 0] = -0.887812f;	val_dir[15433*3 + 1] = 0.186908f;	val_dir[15433*3 + 2] = -0.420542f;
 	val_dir[15434*3 + 0] = -0.878466f;	val_dir[15434*3 + 1] = 0.213681f;	val_dir[15434*3 + 2] = -0.427362f;
 	val_dir[15435*3 + 0] = -0.868037f;	val_dir[15435*3 + 1] = 0.241121f;	val_dir[15435*3 + 2] = -0.434019f;
 	val_dir[15436*3 + 0] = -0.856465f;	val_dir[15436*3 + 1] = 0.269175f;	val_dir[15436*3 + 2] = -0.440468f;
 	val_dir[15437*3 + 0] = -0.843696f;	val_dir[15437*3 + 1] = 0.297775f;	val_dir[15437*3 + 2] = -0.446662f;
 	val_dir[15438*3 + 0] = -0.829680f;	val_dir[15438*3 + 1] = 0.326844f;	val_dir[15438*3 + 2] = -0.452553f;
 	val_dir[15439*3 + 0] = -0.814379f;	val_dir[15439*3 + 1] = 0.356291f;	val_dir[15439*3 + 2] = -0.458088f;
 	val_dir[15440*3 + 0] = -0.797762f;	val_dir[15440*3 + 1] = 0.386014f;	val_dir[15440*3 + 2] = -0.463217f;
 	val_dir[15441*3 + 0] = -0.779813f;	val_dir[15441*3 + 1] = 0.41590f;	val_dir[15441*3 + 2] = -0.467888f;
 	val_dir[15442*3 + 0] = -0.760529f;	val_dir[15442*3 + 1] = 0.445827f;	val_dir[15442*3 + 2] = -0.472053f;
 	val_dir[15443*3 + 0] = -0.739923f;	val_dir[15443*3 + 1] = 0.475665f;	val_dir[15443*3 + 2] = -0.475665f;
 	val_dir[15444*3 + 0] = -0.718024f;	val_dir[15444*3 + 1] = 0.505276f;	val_dir[15444*3 + 2] = -0.478683f;
 	val_dir[15445*3 + 0] = -0.694879f;	val_dir[15445*3 + 1] = 0.534522f;	val_dir[15445*3 + 2] = -0.481070f;
 	val_dir[15446*3 + 0] = -0.670552f;	val_dir[15446*3 + 1] = 0.563264f;	val_dir[15446*3 + 2] = -0.482798f;
 	val_dir[15447*3 + 0] = -0.645124f;	val_dir[15447*3 + 1] = 0.591364f;	val_dir[15447*3 + 2] = -0.483843f;
 	val_dir[15448*3 + 0] = -0.618691f;	val_dir[15448*3 + 1] = 0.618691f;	val_dir[15448*3 + 2] = -0.484193f;
 	val_dir[15449*3 + 0] = -0.591364f;	val_dir[15449*3 + 1] = 0.645124f;	val_dir[15449*3 + 2] = -0.483843f;
 	val_dir[15450*3 + 0] = -0.563264f;	val_dir[15450*3 + 1] = 0.670552f;	val_dir[15450*3 + 2] = -0.482798f;
 	val_dir[15451*3 + 0] = -0.534522f;	val_dir[15451*3 + 1] = 0.694879f;	val_dir[15451*3 + 2] = -0.481070f;
 	val_dir[15452*3 + 0] = -0.505276f;	val_dir[15452*3 + 1] = 0.718024f;	val_dir[15452*3 + 2] = -0.478683f;
 	val_dir[15453*3 + 0] = -0.475665f;	val_dir[15453*3 + 1] = 0.739923f;	val_dir[15453*3 + 2] = -0.475665f;
 	val_dir[15454*3 + 0] = -0.445827f;	val_dir[15454*3 + 1] = 0.760529f;	val_dir[15454*3 + 2] = -0.472053f;
 	val_dir[15455*3 + 0] = -0.41590f;	val_dir[15455*3 + 1] = 0.779813f;	val_dir[15455*3 + 2] = -0.467888f;
 	val_dir[15456*3 + 0] = -0.386014f;	val_dir[15456*3 + 1] = 0.797762f;	val_dir[15456*3 + 2] = -0.463217f;
 	val_dir[15457*3 + 0] = -0.356291f;	val_dir[15457*3 + 1] = 0.814379f;	val_dir[15457*3 + 2] = -0.458088f;
 	val_dir[15458*3 + 0] = -0.326844f;	val_dir[15458*3 + 1] = 0.829680f;	val_dir[15458*3 + 2] = -0.452553f;
 	val_dir[15459*3 + 0] = -0.297775f;	val_dir[15459*3 + 1] = 0.843696f;	val_dir[15459*3 + 2] = -0.446662f;
 	val_dir[15460*3 + 0] = -0.269175f;	val_dir[15460*3 + 1] = 0.856465f;	val_dir[15460*3 + 2] = -0.440468f;
 	val_dir[15461*3 + 0] = -0.241121f;	val_dir[15461*3 + 1] = 0.868037f;	val_dir[15461*3 + 2] = -0.434019f;
 	val_dir[15462*3 + 0] = -0.213681f;	val_dir[15462*3 + 1] = 0.878466f;	val_dir[15462*3 + 2] = -0.427362f;
 	val_dir[15463*3 + 0] = -0.186908f;	val_dir[15463*3 + 1] = 0.887812f;	val_dir[15463*3 + 2] = -0.420542f;
 	val_dir[15464*3 + 0] = -0.160845f;	val_dir[15464*3 + 1] = 0.896137f;	val_dir[15464*3 + 2] = -0.413602f;
 	val_dir[15465*3 + 0] = -0.135526f;	val_dir[15465*3 + 1] = 0.903508f;	val_dir[15465*3 + 2] = -0.406579f;
 	val_dir[15466*3 + 0] = -0.110974f;	val_dir[15466*3 + 1] = 0.909988f;	val_dir[15466*3 + 2] = -0.399507f;
 	val_dir[15467*3 + 0] = -0.087204f;	val_dir[15467*3 + 1] = 0.915644f;	val_dir[15467*3 + 2] = -0.392419f;
 	val_dir[15468*3 + 0] = -0.064223f;	val_dir[15468*3 + 1] = 0.920537f;	val_dir[15468*3 + 2] = -0.385341f;
 	val_dir[15469*3 + 0] = -0.042033f;	val_dir[15469*3 + 1] = 0.924729f;	val_dir[15469*3 + 2] = -0.378298f;
 	val_dir[15470*3 + 0] = -0.020628f;	val_dir[15470*3 + 1] = 0.928279f;	val_dir[15470*3 + 2] = -0.371312f;
 	val_dir[15471*3 + 0] = 0.0f;	val_dir[15471*3 + 1] = 0.931243f;	val_dir[15471*3 + 2] = -0.364399f;
 	val_dir[15472*3 + 0] = 0.020137f;	val_dir[15472*3 + 1] = 0.946458f;	val_dir[15472*3 + 2] = -0.322198f;
 	val_dir[15473*3 + 0] = 0.039968f;	val_dir[15473*3 + 1] = 0.959233f;	val_dir[15473*3 + 2] = -0.279776f;
 	val_dir[15474*3 + 0] = 0.059362f;	val_dir[15474*3 + 1] = 0.969584f;	val_dir[15474*3 + 2] = -0.237449f;
 	val_dir[15475*3 + 0] = 0.078206f;	val_dir[15475*3 + 1] = 0.977577f;	val_dir[15475*3 + 2] = -0.195515f;
 	val_dir[15476*3 + 0] = 0.096404f;	val_dir[15476*3 + 1] = 0.983318f;	val_dir[15476*3 + 2] = -0.154246f;
 	val_dir[15477*3 + 0] = 0.113878f;	val_dir[15477*3 + 1] = 0.986947f;	val_dir[15477*3 + 2] = -0.113878f;
 	val_dir[15478*3 + 0] = 0.130573f;	val_dir[15478*3 + 1] = 0.988627f;	val_dir[15478*3 + 2] = -0.074613f;
 	val_dir[15479*3 + 0] = 0.146450f;	val_dir[15479*3 + 1] = 0.988540f;	val_dir[15479*3 + 2] = -0.036613f;
 	val_dir[15480*3 + 0] = 0.161489f;	val_dir[15480*3 + 1] = 0.986875f;	val_dir[15480*3 + 2] = 0.0f;
 	val_dir[15481*3 + 0] = -0.989426f;	val_dir[15481*3 + 1] = -0.143917f;	val_dir[15481*3 + 2] = -0.017990f;
 	val_dir[15482*3 + 0] = -0.990201f;	val_dir[15482*3 + 1] = -0.128359f;	val_dir[15482*3 + 2] = -0.055011f;
 	val_dir[15483*3 + 0] = -0.989316f;	val_dir[15483*3 + 1] = -0.111998f;	val_dir[15483*3 + 2] = -0.093332f;
 	val_dir[15484*3 + 0] = -0.986591f;	val_dir[15484*3 + 1] = -0.094865f;	val_dir[15484*3 + 2] = -0.132810f;
 	val_dir[15485*3 + 0] = -0.981859f;	val_dir[15485*3 + 1] = -0.077009f;	val_dir[15485*3 + 2] = -0.173269f;
 	val_dir[15486*3 + 0] = -0.974972f;	val_dir[15486*3 + 1] = -0.058498f;	val_dir[15486*3 + 2] = -0.214494f;
 	val_dir[15487*3 + 0] = -0.965810f;	val_dir[15487*3 + 1] = -0.039421f;	val_dir[15487*3 + 2] = -0.256235f;
 	val_dir[15488*3 + 0] = -0.954291f;	val_dir[15488*3 + 1] = -0.019881f;	val_dir[15488*3 + 2] = -0.298216f;
 	val_dir[15489*3 + 0] = -0.940376f;	val_dir[15489*3 + 1] = 0.0f;	val_dir[15489*3 + 2] = -0.340136f;
 	val_dir[15490*3 + 0] = -0.93780f;	val_dir[15490*3 + 1] = 0.020387f;	val_dir[15490*3 + 2] = -0.346578f;
 	val_dir[15491*3 + 0] = -0.934665f;	val_dir[15491*3 + 1] = 0.041541f;	val_dir[15491*3 + 2] = -0.353096f;
 	val_dir[15492*3 + 0] = -0.930917f;	val_dir[15492*3 + 1] = 0.063472f;	val_dir[15492*3 + 2] = -0.359673f;
 	val_dir[15493*3 + 0] = -0.92650f;	val_dir[15493*3 + 1] = 0.086186f;	val_dir[15493*3 + 2] = -0.366291f;
 	val_dir[15494*3 + 0] = -0.921354f;	val_dir[15494*3 + 1] = 0.109685f;	val_dir[15494*3 + 2] = -0.372929f;
 	val_dir[15495*3 + 0] = -0.915416f;	val_dir[15495*3 + 1] = 0.133963f;	val_dir[15495*3 + 2] = -0.379563f;
 	val_dir[15496*3 + 0] = -0.908622f;	val_dir[15496*3 + 1] = 0.159009f;	val_dir[15496*3 + 2] = -0.386164f;
 	val_dir[15497*3 + 0] = -0.900907f;	val_dir[15497*3 + 1] = 0.184801f;	val_dir[15497*3 + 2] = -0.392703f;
 	val_dir[15498*3 + 0] = -0.892206f;	val_dir[15498*3 + 1] = 0.211312f;	val_dir[15498*3 + 2] = -0.399145f;
 	val_dir[15499*3 + 0] = -0.882454f;	val_dir[15499*3 + 1] = 0.238501f;	val_dir[15499*3 + 2] = -0.405452f;
 	val_dir[15500*3 + 0] = -0.871592f;	val_dir[15500*3 + 1] = 0.266320f;	val_dir[15500*3 + 2] = -0.411585f;
 	val_dir[15501*3 + 0] = -0.859559f;	val_dir[15501*3 + 1] = 0.294706f;	val_dir[15501*3 + 2] = -0.41750f;
 	val_dir[15502*3 + 0] = -0.846305f;	val_dir[15502*3 + 1] = 0.323587f;	val_dir[15502*3 + 2] = -0.423153f;
 	val_dir[15503*3 + 0] = -0.831786f;	val_dir[15503*3 + 1] = 0.352879f;	val_dir[15503*3 + 2] = -0.428496f;
 	val_dir[15504*3 + 0] = -0.815966f;	val_dir[15504*3 + 1] = 0.382484f;	val_dir[15504*3 + 2] = -0.433482f;
 	val_dir[15505*3 + 0] = -0.798820f;	val_dir[15505*3 + 1] = 0.412294f;	val_dir[15505*3 + 2] = -0.438063f;
 	val_dir[15506*3 + 0] = -0.780340f;	val_dir[15506*3 + 1] = 0.442193f;	val_dir[15506*3 + 2] = -0.442193f;
 	val_dir[15507*3 + 0] = -0.760529f;	val_dir[15507*3 + 1] = 0.472053f;	val_dir[15507*3 + 2] = -0.445827f;
 	val_dir[15508*3 + 0] = -0.739407f;	val_dir[15508*3 + 1] = 0.501740f;	val_dir[15508*3 + 2] = -0.448926f;
 	val_dir[15509*3 + 0] = -0.717011f;	val_dir[15509*3 + 1] = 0.531119f;	val_dir[15509*3 + 2] = -0.451451f;
 	val_dir[15510*3 + 0] = -0.693395f;	val_dir[15510*3 + 1] = 0.560050f;	val_dir[15510*3 + 2] = -0.453374f;
 	val_dir[15511*3 + 0] = -0.668631f;	val_dir[15511*3 + 1] = 0.588395f;	val_dir[15511*3 + 2] = -0.454669f;
 	val_dir[15512*3 + 0] = -0.642806f;	val_dir[15512*3 + 1] = 0.616022f;	val_dir[15512*3 + 2] = -0.455321f;
 	val_dir[15513*3 + 0] = -0.616022f;	val_dir[15513*3 + 1] = 0.642806f;	val_dir[15513*3 + 2] = -0.455321f;
 	val_dir[15514*3 + 0] = -0.588395f;	val_dir[15514*3 + 1] = 0.668631f;	val_dir[15514*3 + 2] = -0.454669f;
 	val_dir[15515*3 + 0] = -0.560050f;	val_dir[15515*3 + 1] = 0.693395f;	val_dir[15515*3 + 2] = -0.453374f;
 	val_dir[15516*3 + 0] = -0.531119f;	val_dir[15516*3 + 1] = 0.717011f;	val_dir[15516*3 + 2] = -0.451451f;
 	val_dir[15517*3 + 0] = -0.501740f;	val_dir[15517*3 + 1] = 0.739407f;	val_dir[15517*3 + 2] = -0.448926f;
 	val_dir[15518*3 + 0] = -0.472053f;	val_dir[15518*3 + 1] = 0.760529f;	val_dir[15518*3 + 2] = -0.445827f;
 	val_dir[15519*3 + 0] = -0.442193f;	val_dir[15519*3 + 1] = 0.780340f;	val_dir[15519*3 + 2] = -0.442193f;
 	val_dir[15520*3 + 0] = -0.412294f;	val_dir[15520*3 + 1] = 0.798820f;	val_dir[15520*3 + 2] = -0.438063f;
 	val_dir[15521*3 + 0] = -0.382484f;	val_dir[15521*3 + 1] = 0.815966f;	val_dir[15521*3 + 2] = -0.433482f;
 	val_dir[15522*3 + 0] = -0.352879f;	val_dir[15522*3 + 1] = 0.831786f;	val_dir[15522*3 + 2] = -0.428496f;
 	val_dir[15523*3 + 0] = -0.323587f;	val_dir[15523*3 + 1] = 0.846305f;	val_dir[15523*3 + 2] = -0.423153f;
 	val_dir[15524*3 + 0] = -0.294706f;	val_dir[15524*3 + 1] = 0.859559f;	val_dir[15524*3 + 2] = -0.41750f;
 	val_dir[15525*3 + 0] = -0.266320f;	val_dir[15525*3 + 1] = 0.871592f;	val_dir[15525*3 + 2] = -0.411585f;
 	val_dir[15526*3 + 0] = -0.238501f;	val_dir[15526*3 + 1] = 0.882454f;	val_dir[15526*3 + 2] = -0.405452f;
 	val_dir[15527*3 + 0] = -0.211312f;	val_dir[15527*3 + 1] = 0.892206f;	val_dir[15527*3 + 2] = -0.399145f;
 	val_dir[15528*3 + 0] = -0.184801f;	val_dir[15528*3 + 1] = 0.900907f;	val_dir[15528*3 + 2] = -0.392703f;
 	val_dir[15529*3 + 0] = -0.159009f;	val_dir[15529*3 + 1] = 0.908622f;	val_dir[15529*3 + 2] = -0.386164f;
 	val_dir[15530*3 + 0] = -0.133963f;	val_dir[15530*3 + 1] = 0.915416f;	val_dir[15530*3 + 2] = -0.379563f;
 	val_dir[15531*3 + 0] = -0.109685f;	val_dir[15531*3 + 1] = 0.921354f;	val_dir[15531*3 + 2] = -0.372929f;
 	val_dir[15532*3 + 0] = -0.086186f;	val_dir[15532*3 + 1] = 0.92650f;	val_dir[15532*3 + 2] = -0.366291f;
 	val_dir[15533*3 + 0] = -0.063472f;	val_dir[15533*3 + 1] = 0.930917f;	val_dir[15533*3 + 2] = -0.359673f;
 	val_dir[15534*3 + 0] = -0.041541f;	val_dir[15534*3 + 1] = 0.934665f;	val_dir[15534*3 + 2] = -0.353096f;
 	val_dir[15535*3 + 0] = -0.020387f;	val_dir[15535*3 + 1] = 0.93780f;	val_dir[15535*3 + 2] = -0.346578f;
 	val_dir[15536*3 + 0] = 0.0f;	val_dir[15536*3 + 1] = 0.940376f;	val_dir[15536*3 + 2] = -0.340136f;
 	val_dir[15537*3 + 0] = 0.019881f;	val_dir[15537*3 + 1] = 0.954291f;	val_dir[15537*3 + 2] = -0.298216f;
 	val_dir[15538*3 + 0] = 0.039421f;	val_dir[15538*3 + 1] = 0.965810f;	val_dir[15538*3 + 2] = -0.256235f;
 	val_dir[15539*3 + 0] = 0.058498f;	val_dir[15539*3 + 1] = 0.974972f;	val_dir[15539*3 + 2] = -0.214494f;
 	val_dir[15540*3 + 0] = 0.077009f;	val_dir[15540*3 + 1] = 0.981859f;	val_dir[15540*3 + 2] = -0.173269f;
 	val_dir[15541*3 + 0] = 0.094865f;	val_dir[15541*3 + 1] = 0.986591f;	val_dir[15541*3 + 2] = -0.132810f;
 	val_dir[15542*3 + 0] = 0.111998f;	val_dir[15542*3 + 1] = 0.989316f;	val_dir[15542*3 + 2] = -0.093332f;
 	val_dir[15543*3 + 0] = 0.128359f;	val_dir[15543*3 + 1] = 0.990201f;	val_dir[15543*3 + 2] = -0.055011f;
 	val_dir[15544*3 + 0] = 0.143917f;	val_dir[15544*3 + 1] = 0.989426f;	val_dir[15544*3 + 2] = -0.017990f;
 	val_dir[15545*3 + 0] = -0.989949f;	val_dir[15545*3 + 1] = -0.141421f;	val_dir[15545*3 + 2] = 0.0f;
 	val_dir[15546*3 + 0] = -0.991353f;	val_dir[15546*3 + 1] = -0.126172f;	val_dir[15546*3 + 2] = -0.036049f;
 	val_dir[15547*3 + 0] = -0.991201f;	val_dir[15547*3 + 1] = -0.110133f;	val_dir[15547*3 + 2] = -0.073422f;
 	val_dir[15548*3 + 0] = -0.989316f;	val_dir[15548*3 + 1] = -0.093332f;	val_dir[15548*3 + 2] = -0.111998f;
 	val_dir[15549*3 + 0] = -0.985527f;	val_dir[15549*3 + 1] = -0.075810f;	val_dir[15549*3 + 2] = -0.151620f;
 	val_dir[15550*3 + 0] = -0.979683f;	val_dir[15550*3 + 1] = -0.057628f;	val_dir[15550*3 + 2] = -0.192095f;
 	val_dir[15551*3 + 0] = -0.971653f;	val_dir[15551*3 + 1] = -0.038866f;	val_dir[15551*3 + 2] = -0.233197f;
 	val_dir[15552*3 + 0] = -0.961339f;	val_dir[15552*3 + 1] = -0.019619f;	val_dir[15552*3 + 2] = -0.274668f;
 	val_dir[15553*3 + 0] = -0.948683f;	val_dir[15553*3 + 1] = 0.0f;	val_dir[15553*3 + 2] = -0.316228f;
 	val_dir[15554*3 + 0] = -0.946458f;	val_dir[15554*3 + 1] = 0.020137f;	val_dir[15554*3 + 2] = -0.322198f;
 	val_dir[15555*3 + 0] = -0.943701f;	val_dir[15555*3 + 1] = 0.041030f;	val_dir[15555*3 + 2] = -0.328244f;
 	val_dir[15556*3 + 0] = -0.940361f;	val_dir[15556*3 + 1] = 0.062691f;	val_dir[15556*3 + 2] = -0.334351f;
 	val_dir[15557*3 + 0] = -0.936382f;	val_dir[15557*3 + 1] = 0.085126f;	val_dir[15557*3 + 2] = -0.340503f;
 	val_dir[15558*3 + 0] = -0.931705f;	val_dir[15558*3 + 1] = 0.108338f;	val_dir[15558*3 + 2] = -0.346681f;
 	val_dir[15559*3 + 0] = -0.926270f;	val_dir[15559*3 + 1] = 0.132324f;	val_dir[15559*3 + 2] = -0.352865f;
 	val_dir[15560*3 + 0] = -0.920014f;	val_dir[15560*3 + 1] = 0.157075f;	val_dir[15560*3 + 2] = -0.359030f;
 	val_dir[15561*3 + 0] = -0.912871f;	val_dir[15561*3 + 1] = 0.182574f;	val_dir[15561*3 + 2] = -0.365148f;
 	val_dir[15562*3 + 0] = -0.904777f;	val_dir[15562*3 + 1] = 0.208795f;	val_dir[15562*3 + 2] = -0.371191f;
 	val_dir[15563*3 + 0] = -0.895669f;	val_dir[15563*3 + 1] = 0.235702f;	val_dir[15563*3 + 2] = -0.377124f;
 	val_dir[15564*3 + 0] = -0.885482f;	val_dir[15564*3 + 1] = 0.263251f;	val_dir[15564*3 + 2] = -0.382911f;
 	val_dir[15565*3 + 0] = -0.874157f;	val_dir[15565*3 + 1] = 0.291386f;	val_dir[15565*3 + 2] = -0.388514f;
 	val_dir[15566*3 + 0] = -0.861640f;	val_dir[15566*3 + 1] = 0.320038f;	val_dir[15566*3 + 2] = -0.393893f;
 	val_dir[15567*3 + 0] = -0.847883f;	val_dir[15567*3 + 1] = 0.349128f;	val_dir[15567*3 + 2] = -0.399004f;
 	val_dir[15568*3 + 0] = -0.832845f;	val_dir[15568*3 + 1] = 0.378566f;	val_dir[15568*3 + 2] = -0.403804f;
 	val_dir[15569*3 + 0] = -0.816497f;	val_dir[15569*3 + 1] = 0.408248f;	val_dir[15569*3 + 2] = -0.408248f;
 	val_dir[15570*3 + 0] = -0.798820f;	val_dir[15570*3 + 1] = 0.438063f;	val_dir[15570*3 + 2] = -0.412294f;
 	val_dir[15571*3 + 0] = -0.779813f;	val_dir[15571*3 + 1] = 0.467888f;	val_dir[15571*3 + 2] = -0.41590f;
 	val_dir[15572*3 + 0] = -0.759485f;	val_dir[15572*3 + 1] = 0.497594f;	val_dir[15572*3 + 2] = -0.419026f;
 	val_dir[15573*3 + 0] = -0.737865f;	val_dir[15573*3 + 1] = 0.527046f;	val_dir[15573*3 + 2] = -0.421637f;
 	val_dir[15574*3 + 0] = -0.714997f;	val_dir[15574*3 + 1] = 0.556108f;	val_dir[15574*3 + 2] = -0.423702f;
 	val_dir[15575*3 + 0] = -0.690942f;	val_dir[15575*3 + 1] = 0.584643f;	val_dir[15575*3 + 2] = -0.425195f;
 	val_dir[15576*3 + 0] = -0.665780f;	val_dir[15576*3 + 1] = 0.612517f;	val_dir[15576*3 + 2] = -0.426099f;
 	val_dir[15577*3 + 0] = -0.639602f;	val_dir[15577*3 + 1] = 0.639602f;	val_dir[15577*3 + 2] = -0.426401f;
 	val_dir[15578*3 + 0] = -0.612517f;	val_dir[15578*3 + 1] = 0.665780f;	val_dir[15578*3 + 2] = -0.426099f;
 	val_dir[15579*3 + 0] = -0.584643f;	val_dir[15579*3 + 1] = 0.690942f;	val_dir[15579*3 + 2] = -0.425195f;
 	val_dir[15580*3 + 0] = -0.556108f;	val_dir[15580*3 + 1] = 0.714997f;	val_dir[15580*3 + 2] = -0.423702f;
 	val_dir[15581*3 + 0] = -0.527046f;	val_dir[15581*3 + 1] = 0.737865f;	val_dir[15581*3 + 2] = -0.421637f;
 	val_dir[15582*3 + 0] = -0.497594f;	val_dir[15582*3 + 1] = 0.759485f;	val_dir[15582*3 + 2] = -0.419026f;
 	val_dir[15583*3 + 0] = -0.467888f;	val_dir[15583*3 + 1] = 0.779813f;	val_dir[15583*3 + 2] = -0.41590f;
 	val_dir[15584*3 + 0] = -0.438063f;	val_dir[15584*3 + 1] = 0.798820f;	val_dir[15584*3 + 2] = -0.412294f;
 	val_dir[15585*3 + 0] = -0.408248f;	val_dir[15585*3 + 1] = 0.816497f;	val_dir[15585*3 + 2] = -0.408248f;
 	val_dir[15586*3 + 0] = -0.378566f;	val_dir[15586*3 + 1] = 0.832845f;	val_dir[15586*3 + 2] = -0.403804f;
 	val_dir[15587*3 + 0] = -0.349128f;	val_dir[15587*3 + 1] = 0.847883f;	val_dir[15587*3 + 2] = -0.399004f;
 	val_dir[15588*3 + 0] = -0.320038f;	val_dir[15588*3 + 1] = 0.861640f;	val_dir[15588*3 + 2] = -0.393893f;
 	val_dir[15589*3 + 0] = -0.291386f;	val_dir[15589*3 + 1] = 0.874157f;	val_dir[15589*3 + 2] = -0.388514f;
 	val_dir[15590*3 + 0] = -0.263251f;	val_dir[15590*3 + 1] = 0.885482f;	val_dir[15590*3 + 2] = -0.382911f;
 	val_dir[15591*3 + 0] = -0.235702f;	val_dir[15591*3 + 1] = 0.895669f;	val_dir[15591*3 + 2] = -0.377124f;
 	val_dir[15592*3 + 0] = -0.208795f;	val_dir[15592*3 + 1] = 0.904777f;	val_dir[15592*3 + 2] = -0.371191f;
 	val_dir[15593*3 + 0] = -0.182574f;	val_dir[15593*3 + 1] = 0.912871f;	val_dir[15593*3 + 2] = -0.365148f;
 	val_dir[15594*3 + 0] = -0.157075f;	val_dir[15594*3 + 1] = 0.920014f;	val_dir[15594*3 + 2] = -0.359030f;
 	val_dir[15595*3 + 0] = -0.132324f;	val_dir[15595*3 + 1] = 0.926270f;	val_dir[15595*3 + 2] = -0.352865f;
 	val_dir[15596*3 + 0] = -0.108338f;	val_dir[15596*3 + 1] = 0.931705f;	val_dir[15596*3 + 2] = -0.346681f;
 	val_dir[15597*3 + 0] = -0.085126f;	val_dir[15597*3 + 1] = 0.936382f;	val_dir[15597*3 + 2] = -0.340503f;
 	val_dir[15598*3 + 0] = -0.062691f;	val_dir[15598*3 + 1] = 0.940361f;	val_dir[15598*3 + 2] = -0.334351f;
 	val_dir[15599*3 + 0] = -0.041030f;	val_dir[15599*3 + 1] = 0.943701f;	val_dir[15599*3 + 2] = -0.328244f;
 	val_dir[15600*3 + 0] = -0.020137f;	val_dir[15600*3 + 1] = 0.946458f;	val_dir[15600*3 + 2] = -0.322198f;
 	val_dir[15601*3 + 0] = 0.0f;	val_dir[15601*3 + 1] = 0.948683f;	val_dir[15601*3 + 2] = -0.316228f;
 	val_dir[15602*3 + 0] = 0.019619f;	val_dir[15602*3 + 1] = 0.961339f;	val_dir[15602*3 + 2] = -0.274668f;
 	val_dir[15603*3 + 0] = 0.038866f;	val_dir[15603*3 + 1] = 0.971653f;	val_dir[15603*3 + 2] = -0.233197f;
 	val_dir[15604*3 + 0] = 0.057628f;	val_dir[15604*3 + 1] = 0.979683f;	val_dir[15604*3 + 2] = -0.192095f;
 	val_dir[15605*3 + 0] = 0.075810f;	val_dir[15605*3 + 1] = 0.985527f;	val_dir[15605*3 + 2] = -0.151620f;
 	val_dir[15606*3 + 0] = 0.093332f;	val_dir[15606*3 + 1] = 0.989316f;	val_dir[15606*3 + 2] = -0.111998f;
 	val_dir[15607*3 + 0] = 0.110133f;	val_dir[15607*3 + 1] = 0.991201f;	val_dir[15607*3 + 2] = -0.073422f;
 	val_dir[15608*3 + 0] = 0.126172f;	val_dir[15608*3 + 1] = 0.991353f;	val_dir[15608*3 + 2] = -0.036049f;
 	val_dir[15609*3 + 0] = 0.141421f;	val_dir[15609*3 + 1] = 0.989949f;	val_dir[15609*3 + 2] = 0.0f;
 	val_dir[15610*3 + 0] = -0.992122f;	val_dir[15610*3 + 1] = -0.124015f;	val_dir[15610*3 + 2] = -0.017716f;
 	val_dir[15611*3 + 0] = -0.992644f;	val_dir[15611*3 + 1] = -0.108288f;	val_dir[15611*3 + 2] = -0.054144f;
 	val_dir[15612*3 + 0] = -0.991535f;	val_dir[15612*3 + 1] = -0.091809f;	val_dir[15612*3 + 2] = -0.091809f;
 	val_dir[15613*3 + 0] = -0.988627f;	val_dir[15613*3 + 1] = -0.074613f;	val_dir[15613*3 + 2] = -0.130573f;
 	val_dir[15614*3 + 0] = -0.983762f;	val_dir[15614*3 + 1] = -0.056756f;	val_dir[15614*3 + 2] = -0.170267f;
 	val_dir[15615*3 + 0] = -0.976804f;	val_dir[15615*3 + 1] = -0.038306f;	val_dir[15615*3 + 2] = -0.210683f;
 	val_dir[15616*3 + 0] = -0.967641f;	val_dir[15616*3 + 1] = -0.019353f;	val_dir[15616*3 + 2] = -0.251587f;
 	val_dir[15617*3 + 0] = -0.95620f;	val_dir[15617*3 + 1] = 0.0f;	val_dir[15617*3 + 2] = -0.292714f;
 	val_dir[15618*3 + 0] = -0.954291f;	val_dir[15618*3 + 1] = 0.019881f;	val_dir[15618*3 + 2] = -0.298216f;
 	val_dir[15619*3 + 0] = -0.951877f;	val_dir[15619*3 + 1] = 0.040505f;	val_dir[15619*3 + 2] = -0.303791f;
 	val_dir[15620*3 + 0] = -0.948908f;	val_dir[15620*3 + 1] = 0.061885f;	val_dir[15620*3 + 2] = -0.309426f;
 	val_dir[15621*3 + 0] = -0.945328f;	val_dir[15621*3 + 1] = 0.084029f;	val_dir[15621*3 + 2] = -0.315109f;
 	val_dir[15622*3 + 0] = -0.941082f;	val_dir[15622*3 + 1] = 0.106941f;	val_dir[15622*3 + 2] = -0.320824f;
 	val_dir[15623*3 + 0] = -0.936111f;	val_dir[15623*3 + 1] = 0.130620f;	val_dir[15623*3 + 2] = -0.326550f;
 	val_dir[15624*3 + 0] = -0.930352f;	val_dir[15624*3 + 1] = 0.155059f;	val_dir[15624*3 + 2] = -0.332269f;
 	val_dir[15625*3 + 0] = -0.923742f;	val_dir[15625*3 + 1] = 0.180242f;	val_dir[15625*3 + 2] = -0.337954f;
 	val_dir[15626*3 + 0] = -0.916217f;	val_dir[15626*3 + 1] = 0.206149f;	val_dir[15626*3 + 2] = -0.343582f;
 	val_dir[15627*3 + 0] = -0.907713f;	val_dir[15627*3 + 1] = 0.232747f;	val_dir[15627*3 + 2] = -0.349121f;
 	val_dir[15628*3 + 0] = -0.898167f;	val_dir[15628*3 + 1] = 0.259996f;	val_dir[15628*3 + 2] = -0.354540f;
 	val_dir[15629*3 + 0] = -0.887517f;	val_dir[15629*3 + 1] = 0.287843f;	val_dir[15629*3 + 2] = -0.359804f;
 	val_dir[15630*3 + 0] = -0.875708f;	val_dir[15630*3 + 1] = 0.316228f;	val_dir[15630*3 + 2] = -0.364878f;
 	val_dir[15631*3 + 0] = -0.862687f;	val_dir[15631*3 + 1] = 0.345075f;	val_dir[15631*3 + 2] = -0.369723f;
 	val_dir[15632*3 + 0] = -0.848411f;	val_dir[15632*3 + 1] = 0.374299f;	val_dir[15632*3 + 2] = -0.374299f;
 	val_dir[15633*3 + 0] = -0.832845f;	val_dir[15633*3 + 1] = 0.403804f;	val_dir[15633*3 + 2] = -0.378566f;
 	val_dir[15634*3 + 0] = -0.815966f;	val_dir[15634*3 + 1] = 0.433482f;	val_dir[15634*3 + 2] = -0.382484f;
 	val_dir[15635*3 + 0] = -0.797762f;	val_dir[15635*3 + 1] = 0.463217f;	val_dir[15635*3 + 2] = -0.386014f;
 	val_dir[15636*3 + 0] = -0.778237f;	val_dir[15636*3 + 1] = 0.492883f;	val_dir[15636*3 + 2] = -0.389118f;
 	val_dir[15637*3 + 0] = -0.757410f;	val_dir[15637*3 + 1] = 0.522352f;	val_dir[15637*3 + 2] = -0.391764f;
 	val_dir[15638*3 + 0] = -0.735316f;	val_dir[15638*3 + 1] = 0.551487f;	val_dir[15638*3 + 2] = -0.393919f;
 	val_dir[15639*3 + 0] = -0.712007f;	val_dir[15639*3 + 1] = 0.580154f;	val_dir[15639*3 + 2] = -0.395559f;
 	val_dir[15640*3 + 0] = -0.687552f;	val_dir[15640*3 + 1] = 0.608219f;	val_dir[15640*3 + 2] = -0.396664f;
 	val_dir[15641*3 + 0] = -0.662034f;	val_dir[15641*3 + 1] = 0.635553f;	val_dir[15641*3 + 2] = -0.397220f;
 	val_dir[15642*3 + 0] = -0.635553f;	val_dir[15642*3 + 1] = 0.662034f;	val_dir[15642*3 + 2] = -0.397220f;
 	val_dir[15643*3 + 0] = -0.608219f;	val_dir[15643*3 + 1] = 0.687552f;	val_dir[15643*3 + 2] = -0.396664f;
 	val_dir[15644*3 + 0] = -0.580154f;	val_dir[15644*3 + 1] = 0.712007f;	val_dir[15644*3 + 2] = -0.395559f;
 	val_dir[15645*3 + 0] = -0.551487f;	val_dir[15645*3 + 1] = 0.735316f;	val_dir[15645*3 + 2] = -0.393919f;
 	val_dir[15646*3 + 0] = -0.522352f;	val_dir[15646*3 + 1] = 0.757410f;	val_dir[15646*3 + 2] = -0.391764f;
 	val_dir[15647*3 + 0] = -0.492883f;	val_dir[15647*3 + 1] = 0.778237f;	val_dir[15647*3 + 2] = -0.389118f;
 	val_dir[15648*3 + 0] = -0.463217f;	val_dir[15648*3 + 1] = 0.797762f;	val_dir[15648*3 + 2] = -0.386014f;
 	val_dir[15649*3 + 0] = -0.433482f;	val_dir[15649*3 + 1] = 0.815966f;	val_dir[15649*3 + 2] = -0.382484f;
 	val_dir[15650*3 + 0] = -0.403804f;	val_dir[15650*3 + 1] = 0.832845f;	val_dir[15650*3 + 2] = -0.378566f;
 	val_dir[15651*3 + 0] = -0.374299f;	val_dir[15651*3 + 1] = 0.848411f;	val_dir[15651*3 + 2] = -0.374299f;
 	val_dir[15652*3 + 0] = -0.345075f;	val_dir[15652*3 + 1] = 0.862687f;	val_dir[15652*3 + 2] = -0.369723f;
 	val_dir[15653*3 + 0] = -0.316228f;	val_dir[15653*3 + 1] = 0.875708f;	val_dir[15653*3 + 2] = -0.364878f;
 	val_dir[15654*3 + 0] = -0.287843f;	val_dir[15654*3 + 1] = 0.887517f;	val_dir[15654*3 + 2] = -0.359804f;
 	val_dir[15655*3 + 0] = -0.259996f;	val_dir[15655*3 + 1] = 0.898167f;	val_dir[15655*3 + 2] = -0.354540f;
 	val_dir[15656*3 + 0] = -0.232747f;	val_dir[15656*3 + 1] = 0.907713f;	val_dir[15656*3 + 2] = -0.349121f;
 	val_dir[15657*3 + 0] = -0.206149f;	val_dir[15657*3 + 1] = 0.916217f;	val_dir[15657*3 + 2] = -0.343582f;
 	val_dir[15658*3 + 0] = -0.180242f;	val_dir[15658*3 + 1] = 0.923742f;	val_dir[15658*3 + 2] = -0.337954f;
 	val_dir[15659*3 + 0] = -0.155059f;	val_dir[15659*3 + 1] = 0.930352f;	val_dir[15659*3 + 2] = -0.332269f;
 	val_dir[15660*3 + 0] = -0.130620f;	val_dir[15660*3 + 1] = 0.936111f;	val_dir[15660*3 + 2] = -0.326550f;
 	val_dir[15661*3 + 0] = -0.106941f;	val_dir[15661*3 + 1] = 0.941082f;	val_dir[15661*3 + 2] = -0.320824f;
 	val_dir[15662*3 + 0] = -0.084029f;	val_dir[15662*3 + 1] = 0.945328f;	val_dir[15662*3 + 2] = -0.315109f;
 	val_dir[15663*3 + 0] = -0.061885f;	val_dir[15663*3 + 1] = 0.948908f;	val_dir[15663*3 + 2] = -0.309426f;
 	val_dir[15664*3 + 0] = -0.040505f;	val_dir[15664*3 + 1] = 0.951877f;	val_dir[15664*3 + 2] = -0.303791f;
 	val_dir[15665*3 + 0] = -0.019881f;	val_dir[15665*3 + 1] = 0.954291f;	val_dir[15665*3 + 2] = -0.298216f;
 	val_dir[15666*3 + 0] = 0.0f;	val_dir[15666*3 + 1] = 0.95620f;	val_dir[15666*3 + 2] = -0.292714f;
 	val_dir[15667*3 + 0] = 0.019353f;	val_dir[15667*3 + 1] = 0.967641f;	val_dir[15667*3 + 2] = -0.251587f;
 	val_dir[15668*3 + 0] = 0.038306f;	val_dir[15668*3 + 1] = 0.976804f;	val_dir[15668*3 + 2] = -0.210683f;
 	val_dir[15669*3 + 0] = 0.056756f;	val_dir[15669*3 + 1] = 0.983762f;	val_dir[15669*3 + 2] = -0.170267f;
 	val_dir[15670*3 + 0] = 0.074613f;	val_dir[15670*3 + 1] = 0.988627f;	val_dir[15670*3 + 2] = -0.130573f;
 	val_dir[15671*3 + 0] = 0.091809f;	val_dir[15671*3 + 1] = 0.991535f;	val_dir[15671*3 + 2] = -0.091809f;
 	val_dir[15672*3 + 0] = 0.108288f;	val_dir[15672*3 + 1] = 0.992644f;	val_dir[15672*3 + 2] = -0.054144f;
 	val_dir[15673*3 + 0] = 0.124015f;	val_dir[15673*3 + 1] = 0.992122f;	val_dir[15673*3 + 2] = -0.017716f;
 	val_dir[15674*3 + 0] = -0.992543f;	val_dir[15674*3 + 1] = -0.121891f;	val_dir[15674*3 + 2] = 0.0f;
 	val_dir[15675*3 + 0] = -0.993683f;	val_dir[15675*3 + 1] = -0.106466f;	val_dir[15675*3 + 2] = -0.035489f;
 	val_dir[15676*3 + 0] = -0.993291f;	val_dir[15676*3 + 1] = -0.090299f;	val_dir[15676*3 + 2] = -0.072239f;
 	val_dir[15677*3 + 0] = -0.991201f;	val_dir[15677*3 + 1] = -0.073422f;	val_dir[15677*3 + 2] = -0.110133f;
 	val_dir[15678*3 + 0] = -0.987254f;	val_dir[15678*3 + 1] = -0.055882f;	val_dir[15678*3 + 2] = -0.149019f;
 	val_dir[15679*3 + 0] = -0.981307f;	val_dir[15679*3 + 1] = -0.037743f;	val_dir[15679*3 + 2] = -0.188713f;
 	val_dir[15680*3 + 0] = -0.973240f;	val_dir[15680*3 + 1] = -0.019083f;	val_dir[15680*3 + 2] = -0.228998f;
 	val_dir[15681*3 + 0] = -0.962964f;	val_dir[15681*3 + 1] = 0.0f;	val_dir[15681*3 + 2] = -0.269630f;
 	val_dir[15682*3 + 0] = -0.961339f;	val_dir[15682*3 + 1] = 0.019619f;	val_dir[15682*3 + 2] = -0.274668f;
 	val_dir[15683*3 + 0] = -0.959233f;	val_dir[15683*3 + 1] = 0.039968f;	val_dir[15683*3 + 2] = -0.279776f;
 	val_dir[15684*3 + 0] = -0.956597f;	val_dir[15684*3 + 1] = 0.061059f;	val_dir[15684*3 + 2] = -0.284944f;
 	val_dir[15685*3 + 0] = -0.953381f;	val_dir[15685*3 + 1] = 0.082903f;	val_dir[15685*3 + 2] = -0.290159f;
 	val_dir[15686*3 + 0] = -0.949528f;	val_dir[15686*3 + 1] = 0.105503f;	val_dir[15686*3 + 2] = -0.295409f;
 	val_dir[15687*3 + 0] = -0.944981f;	val_dir[15687*3 + 1] = 0.128861f;	val_dir[15687*3 + 2] = -0.300676f;
 	val_dir[15688*3 + 0] = -0.939680f;	val_dir[15688*3 + 1] = 0.152971f;	val_dir[15688*3 + 2] = -0.305942f;
 	val_dir[15689*3 + 0] = -0.933564f;	val_dir[15689*3 + 1] = 0.177822f;	val_dir[15689*3 + 2] = -0.311188f;
 	val_dir[15690*3 + 0] = -0.926568f;	val_dir[15690*3 + 1] = 0.203393f;	val_dir[15690*3 + 2] = -0.316389f;
 	val_dir[15691*3 + 0] = -0.918630f;	val_dir[15691*3 + 1] = 0.229658f;	val_dir[15691*3 + 2] = -0.321521f;
 	val_dir[15692*3 + 0] = -0.909687f;	val_dir[15692*3 + 1] = 0.256578f;	val_dir[15692*3 + 2] = -0.326554f;
 	val_dir[15693*3 + 0] = -0.899676f;	val_dir[15693*3 + 1] = 0.284108f;	val_dir[15693*3 + 2] = -0.331460f;
 	val_dir[15694*3 + 0] = -0.888540f;	val_dir[15694*3 + 1] = 0.312190f;	val_dir[15694*3 + 2] = -0.336204f;
 	val_dir[15695*3 + 0] = -0.876226f;	val_dir[15695*3 + 1] = 0.340755f;	val_dir[15695*3 + 2] = -0.340755f;
 	val_dir[15696*3 + 0] = -0.862687f;	val_dir[15696*3 + 1] = 0.369723f;	val_dir[15696*3 + 2] = -0.345075f;
 	val_dir[15697*3 + 0] = -0.847883f;	val_dir[15697*3 + 1] = 0.399004f;	val_dir[15697*3 + 2] = -0.349128f;
 	val_dir[15698*3 + 0] = -0.831786f;	val_dir[15698*3 + 1] = 0.428496f;	val_dir[15698*3 + 2] = -0.352879f;
 	val_dir[15699*3 + 0] = -0.814379f;	val_dir[15699*3 + 1] = 0.458088f;	val_dir[15699*3 + 2] = -0.356291f;
 	val_dir[15700*3 + 0] = -0.795657f;	val_dir[15700*3 + 1] = 0.487661f;	val_dir[15700*3 + 2] = -0.359329f;
 	val_dir[15701*3 + 0] = -0.775632f;	val_dir[15701*3 + 1] = 0.517088f;	val_dir[15701*3 + 2] = -0.361961f;
 	val_dir[15702*3 + 0] = -0.754329f;	val_dir[15702*3 + 1] = 0.546238f;	val_dir[15702*3 + 2] = -0.364159f;
 	val_dir[15703*3 + 0] = -0.731792f;	val_dir[15703*3 + 1] = 0.574979f;	val_dir[15703*3 + 2] = -0.365896f;
 	val_dir[15704*3 + 0] = -0.708079f;	val_dir[15704*3 + 1] = 0.603178f;	val_dir[15704*3 + 2] = -0.367152f;
 	val_dir[15705*3 + 0] = -0.683265f;	val_dir[15705*3 + 1] = 0.630706f;	val_dir[15705*3 + 2] = -0.367912f;
 	val_dir[15706*3 + 0] = -0.657440f;	val_dir[15706*3 + 1] = 0.657440f;	val_dir[15706*3 + 2] = -0.368166f;
 	val_dir[15707*3 + 0] = -0.630706f;	val_dir[15707*3 + 1] = 0.683265f;	val_dir[15707*3 + 2] = -0.367912f;
 	val_dir[15708*3 + 0] = -0.603178f;	val_dir[15708*3 + 1] = 0.708079f;	val_dir[15708*3 + 2] = -0.367152f;
 	val_dir[15709*3 + 0] = -0.574979f;	val_dir[15709*3 + 1] = 0.731792f;	val_dir[15709*3 + 2] = -0.365896f;
 	val_dir[15710*3 + 0] = -0.546238f;	val_dir[15710*3 + 1] = 0.754329f;	val_dir[15710*3 + 2] = -0.364159f;
 	val_dir[15711*3 + 0] = -0.517088f;	val_dir[15711*3 + 1] = 0.775632f;	val_dir[15711*3 + 2] = -0.361961f;
 	val_dir[15712*3 + 0] = -0.487661f;	val_dir[15712*3 + 1] = 0.795657f;	val_dir[15712*3 + 2] = -0.359329f;
 	val_dir[15713*3 + 0] = -0.458088f;	val_dir[15713*3 + 1] = 0.814379f;	val_dir[15713*3 + 2] = -0.356291f;
 	val_dir[15714*3 + 0] = -0.428496f;	val_dir[15714*3 + 1] = 0.831786f;	val_dir[15714*3 + 2] = -0.352879f;
 	val_dir[15715*3 + 0] = -0.399004f;	val_dir[15715*3 + 1] = 0.847883f;	val_dir[15715*3 + 2] = -0.349128f;
 	val_dir[15716*3 + 0] = -0.369723f;	val_dir[15716*3 + 1] = 0.862687f;	val_dir[15716*3 + 2] = -0.345075f;
 	val_dir[15717*3 + 0] = -0.340755f;	val_dir[15717*3 + 1] = 0.876226f;	val_dir[15717*3 + 2] = -0.340755f;
 	val_dir[15718*3 + 0] = -0.312190f;	val_dir[15718*3 + 1] = 0.888540f;	val_dir[15718*3 + 2] = -0.336204f;
 	val_dir[15719*3 + 0] = -0.284108f;	val_dir[15719*3 + 1] = 0.899676f;	val_dir[15719*3 + 2] = -0.331460f;
 	val_dir[15720*3 + 0] = -0.256578f;	val_dir[15720*3 + 1] = 0.909687f;	val_dir[15720*3 + 2] = -0.326554f;
 	val_dir[15721*3 + 0] = -0.229658f;	val_dir[15721*3 + 1] = 0.918630f;	val_dir[15721*3 + 2] = -0.321521f;
 	val_dir[15722*3 + 0] = -0.203393f;	val_dir[15722*3 + 1] = 0.926568f;	val_dir[15722*3 + 2] = -0.316389f;
 	val_dir[15723*3 + 0] = -0.177822f;	val_dir[15723*3 + 1] = 0.933564f;	val_dir[15723*3 + 2] = -0.311188f;
 	val_dir[15724*3 + 0] = -0.152971f;	val_dir[15724*3 + 1] = 0.939680f;	val_dir[15724*3 + 2] = -0.305942f;
 	val_dir[15725*3 + 0] = -0.128861f;	val_dir[15725*3 + 1] = 0.944981f;	val_dir[15725*3 + 2] = -0.300676f;
 	val_dir[15726*3 + 0] = -0.105503f;	val_dir[15726*3 + 1] = 0.949528f;	val_dir[15726*3 + 2] = -0.295409f;
 	val_dir[15727*3 + 0] = -0.082903f;	val_dir[15727*3 + 1] = 0.953381f;	val_dir[15727*3 + 2] = -0.290159f;
 	val_dir[15728*3 + 0] = -0.061059f;	val_dir[15728*3 + 1] = 0.956597f;	val_dir[15728*3 + 2] = -0.284944f;
 	val_dir[15729*3 + 0] = -0.039968f;	val_dir[15729*3 + 1] = 0.959233f;	val_dir[15729*3 + 2] = -0.279776f;
 	val_dir[15730*3 + 0] = -0.019619f;	val_dir[15730*3 + 1] = 0.961339f;	val_dir[15730*3 + 2] = -0.274668f;
 	val_dir[15731*3 + 0] = 0.0f;	val_dir[15731*3 + 1] = 0.962964f;	val_dir[15731*3 + 2] = -0.269630f;
 	val_dir[15732*3 + 0] = 0.019083f;	val_dir[15732*3 + 1] = 0.973240f;	val_dir[15732*3 + 2] = -0.228998f;
 	val_dir[15733*3 + 0] = 0.037743f;	val_dir[15733*3 + 1] = 0.981307f;	val_dir[15733*3 + 2] = -0.188713f;
 	val_dir[15734*3 + 0] = 0.055882f;	val_dir[15734*3 + 1] = 0.987254f;	val_dir[15734*3 + 2] = -0.149019f;
 	val_dir[15735*3 + 0] = 0.073422f;	val_dir[15735*3 + 1] = 0.991201f;	val_dir[15735*3 + 2] = -0.110133f;
 	val_dir[15736*3 + 0] = 0.090299f;	val_dir[15736*3 + 1] = 0.993291f;	val_dir[15736*3 + 2] = -0.072239f;
 	val_dir[15737*3 + 0] = 0.106466f;	val_dir[15737*3 + 1] = 0.993683f;	val_dir[15737*3 + 2] = -0.035489f;
 	val_dir[15738*3 + 0] = 0.121891f;	val_dir[15738*3 + 1] = 0.992543f;	val_dir[15738*3 + 2] = 0.0f;
 	val_dir[15739*3 + 0] = -0.994354f;	val_dir[15739*3 + 1] = -0.104669f;	val_dir[15739*3 + 2] = -0.017445f;
 	val_dir[15740*3 + 0] = -0.994623f;	val_dir[15740*3 + 1] = -0.088806f;	val_dir[15740*3 + 2] = -0.053283f;
 	val_dir[15741*3 + 0] = -0.993291f;	val_dir[15741*3 + 1] = -0.072239f;	val_dir[15741*3 + 2] = -0.090299f;
 	val_dir[15742*3 + 0] = -0.990201f;	val_dir[15742*3 + 1] = -0.055011f;	val_dir[15742*3 + 2] = -0.128359f;
 	val_dir[15743*3 + 0] = -0.985205f;	val_dir[15743*3 + 1] = -0.037178f;	val_dir[15743*3 + 2] = -0.167299f;
 	val_dir[15744*3 + 0] = -0.978177f;	val_dir[15744*3 + 1] = -0.018811f;	val_dir[15744*3 + 2] = -0.206922f;
 	val_dir[15745*3 + 0] = -0.969015f;	val_dir[15745*3 + 1] = 0.0f;	val_dir[15745*3 + 2] = -0.247004f;
 	val_dir[15746*3 + 0] = -0.967641f;	val_dir[15746*3 + 1] = 0.019353f;	val_dir[15746*3 + 2] = -0.251587f;
 	val_dir[15747*3 + 0] = -0.965810f;	val_dir[15747*3 + 1] = 0.039421f;	val_dir[15747*3 + 2] = -0.256235f;
 	val_dir[15748*3 + 0] = -0.963475f;	val_dir[15748*3 + 1] = 0.060217f;	val_dir[15748*3 + 2] = -0.260941f;
 	val_dir[15749*3 + 0] = -0.960585f;	val_dir[15749*3 + 1] = 0.081752f;	val_dir[15749*3 + 2] = -0.265694f;
 	val_dir[15750*3 + 0] = -0.957088f;	val_dir[15750*3 + 1] = 0.104031f;	val_dir[15750*3 + 2] = -0.270481f;
 	val_dir[15751*3 + 0] = -0.952928f;	val_dir[15751*3 + 1] = 0.127057f;	val_dir[15751*3 + 2] = -0.275290f;
 	val_dir[15752*3 + 0] = -0.948047f;	val_dir[15752*3 + 1] = 0.150826f;	val_dir[15752*3 + 2] = -0.280105f;
 	val_dir[15753*3 + 0] = -0.942384f;	val_dir[15753*3 + 1] = 0.175327f;	val_dir[15753*3 + 2] = -0.284907f;
 	val_dir[15754*3 + 0] = -0.935879f;	val_dir[15754*3 + 1] = 0.200545f;	val_dir[15754*3 + 2] = -0.289677f;
 	val_dir[15755*3 + 0] = -0.928467f;	val_dir[15755*3 + 1] = 0.226455f;	val_dir[15755*3 + 2] = -0.294392f;
 	val_dir[15756*3 + 0] = -0.920087f;	val_dir[15756*3 + 1] = 0.253024f;	val_dir[15756*3 + 2] = -0.299028f;
 	val_dir[15757*3 + 0] = -0.910678f;	val_dir[15757*3 + 1] = 0.280209f;	val_dir[15757*3 + 2] = -0.303559f;
 	val_dir[15758*3 + 0] = -0.900181f;	val_dir[15758*3 + 1] = 0.307957f;	val_dir[15758*3 + 2] = -0.307957f;
 	val_dir[15759*3 + 0] = -0.888540f;	val_dir[15759*3 + 1] = 0.336204f;	val_dir[15759*3 + 2] = -0.312190f;
 	val_dir[15760*3 + 0] = -0.875708f;	val_dir[15760*3 + 1] = 0.364878f;	val_dir[15760*3 + 2] = -0.316228f;
 	val_dir[15761*3 + 0] = -0.861640f;	val_dir[15761*3 + 1] = 0.393893f;	val_dir[15761*3 + 2] = -0.320038f;
 	val_dir[15762*3 + 0] = -0.846305f;	val_dir[15762*3 + 1] = 0.423153f;	val_dir[15762*3 + 2] = -0.323587f;
 	val_dir[15763*3 + 0] = -0.829680f;	val_dir[15763*3 + 1] = 0.452553f;	val_dir[15763*3 + 2] = -0.326844f;
 	val_dir[15764*3 + 0] = -0.811754f;	val_dir[15764*3 + 1] = 0.481979f;	val_dir[15764*3 + 2] = -0.329775f;
 	val_dir[15765*3 + 0] = -0.792530f;	val_dir[15765*3 + 1] = 0.511310f;	val_dir[15765*3 + 2] = -0.332352f;
 	val_dir[15766*3 + 0] = -0.772027f;	val_dir[15766*3 + 1] = 0.540419f;	val_dir[15766*3 + 2] = -0.334545f;
 	val_dir[15767*3 + 0] = -0.750279f;	val_dir[15767*3 + 1] = 0.569177f;	val_dir[15767*3 + 2] = -0.336332f;
 	val_dir[15768*3 + 0] = -0.727334f;	val_dir[15768*3 + 1] = 0.597453f;	val_dir[15768*3 + 2] = -0.337691f;
 	val_dir[15769*3 + 0] = -0.703259f;	val_dir[15769*3 + 1] = 0.625119f;	val_dir[15769*3 + 2] = -0.338606f;
 	val_dir[15770*3 + 0] = -0.678133f;	val_dir[15770*3 + 1] = 0.652051f;	val_dir[15770*3 + 2] = -0.339066f;
 	val_dir[15771*3 + 0] = -0.652051f;	val_dir[15771*3 + 1] = 0.678133f;	val_dir[15771*3 + 2] = -0.339066f;
 	val_dir[15772*3 + 0] = -0.625119f;	val_dir[15772*3 + 1] = 0.703259f;	val_dir[15772*3 + 2] = -0.338606f;
 	val_dir[15773*3 + 0] = -0.597453f;	val_dir[15773*3 + 1] = 0.727334f;	val_dir[15773*3 + 2] = -0.337691f;
 	val_dir[15774*3 + 0] = -0.569177f;	val_dir[15774*3 + 1] = 0.750279f;	val_dir[15774*3 + 2] = -0.336332f;
 	val_dir[15775*3 + 0] = -0.540419f;	val_dir[15775*3 + 1] = 0.772027f;	val_dir[15775*3 + 2] = -0.334545f;
 	val_dir[15776*3 + 0] = -0.511310f;	val_dir[15776*3 + 1] = 0.792530f;	val_dir[15776*3 + 2] = -0.332352f;
 	val_dir[15777*3 + 0] = -0.481979f;	val_dir[15777*3 + 1] = 0.811754f;	val_dir[15777*3 + 2] = -0.329775f;
 	val_dir[15778*3 + 0] = -0.452553f;	val_dir[15778*3 + 1] = 0.829680f;	val_dir[15778*3 + 2] = -0.326844f;
 	val_dir[15779*3 + 0] = -0.423153f;	val_dir[15779*3 + 1] = 0.846305f;	val_dir[15779*3 + 2] = -0.323587f;
 	val_dir[15780*3 + 0] = -0.393893f;	val_dir[15780*3 + 1] = 0.861640f;	val_dir[15780*3 + 2] = -0.320038f;
 	val_dir[15781*3 + 0] = -0.364878f;	val_dir[15781*3 + 1] = 0.875708f;	val_dir[15781*3 + 2] = -0.316228f;
 	val_dir[15782*3 + 0] = -0.336204f;	val_dir[15782*3 + 1] = 0.888540f;	val_dir[15782*3 + 2] = -0.312190f;
 	val_dir[15783*3 + 0] = -0.307957f;	val_dir[15783*3 + 1] = 0.900181f;	val_dir[15783*3 + 2] = -0.307957f;
 	val_dir[15784*3 + 0] = -0.280209f;	val_dir[15784*3 + 1] = 0.910678f;	val_dir[15784*3 + 2] = -0.303559f;
 	val_dir[15785*3 + 0] = -0.253024f;	val_dir[15785*3 + 1] = 0.920087f;	val_dir[15785*3 + 2] = -0.299028f;
 	val_dir[15786*3 + 0] = -0.226455f;	val_dir[15786*3 + 1] = 0.928467f;	val_dir[15786*3 + 2] = -0.294392f;
 	val_dir[15787*3 + 0] = -0.200545f;	val_dir[15787*3 + 1] = 0.935879f;	val_dir[15787*3 + 2] = -0.289677f;
 	val_dir[15788*3 + 0] = -0.175327f;	val_dir[15788*3 + 1] = 0.942384f;	val_dir[15788*3 + 2] = -0.284907f;
 	val_dir[15789*3 + 0] = -0.150826f;	val_dir[15789*3 + 1] = 0.948047f;	val_dir[15789*3 + 2] = -0.280105f;
 	val_dir[15790*3 + 0] = -0.127057f;	val_dir[15790*3 + 1] = 0.952928f;	val_dir[15790*3 + 2] = -0.275290f;
 	val_dir[15791*3 + 0] = -0.104031f;	val_dir[15791*3 + 1] = 0.957088f;	val_dir[15791*3 + 2] = -0.270481f;
 	val_dir[15792*3 + 0] = -0.081752f;	val_dir[15792*3 + 1] = 0.960585f;	val_dir[15792*3 + 2] = -0.265694f;
 	val_dir[15793*3 + 0] = -0.060217f;	val_dir[15793*3 + 1] = 0.963475f;	val_dir[15793*3 + 2] = -0.260941f;
 	val_dir[15794*3 + 0] = -0.039421f;	val_dir[15794*3 + 1] = 0.965810f;	val_dir[15794*3 + 2] = -0.256235f;
 	val_dir[15795*3 + 0] = -0.019353f;	val_dir[15795*3 + 1] = 0.967641f;	val_dir[15795*3 + 2] = -0.251587f;
 	val_dir[15796*3 + 0] = 0.0f;	val_dir[15796*3 + 1] = 0.969015f;	val_dir[15796*3 + 2] = -0.247004f;
 	val_dir[15797*3 + 0] = 0.018811f;	val_dir[15797*3 + 1] = 0.978177f;	val_dir[15797*3 + 2] = -0.206922f;
 	val_dir[15798*3 + 0] = 0.037178f;	val_dir[15798*3 + 1] = 0.985205f;	val_dir[15798*3 + 2] = -0.167299f;
 	val_dir[15799*3 + 0] = 0.055011f;	val_dir[15799*3 + 1] = 0.990201f;	val_dir[15799*3 + 2] = -0.128359f;
 	val_dir[15800*3 + 0] = 0.072239f;	val_dir[15800*3 + 1] = 0.993291f;	val_dir[15800*3 + 2] = -0.090299f;
 	val_dir[15801*3 + 0] = 0.088806f;	val_dir[15801*3 + 1] = 0.994623f;	val_dir[15801*3 + 2] = -0.053283f;
 	val_dir[15802*3 + 0] = 0.104669f;	val_dir[15802*3 + 1] = 0.994354f;	val_dir[15802*3 + 2] = -0.017445f;
 	val_dir[15803*3 + 0] = -0.994692f;	val_dir[15803*3 + 1] = -0.102899f;	val_dir[15803*3 + 2] = 0.0f;
 	val_dir[15804*3 + 0] = -0.995567f;	val_dir[15804*3 + 1] = -0.087330f;	val_dir[15804*3 + 2] = -0.034932f;
 	val_dir[15805*3 + 0] = -0.994937f;	val_dir[15805*3 + 1] = -0.071067f;	val_dir[15805*3 + 2] = -0.071067f;
 	val_dir[15806*3 + 0] = -0.992644f;	val_dir[15806*3 + 1] = -0.054144f;	val_dir[15806*3 + 2] = -0.108288f;
 	val_dir[15807*3 + 0] = -0.988540f;	val_dir[15807*3 + 1] = -0.036613f;	val_dir[15807*3 + 2] = -0.146450f;
 	val_dir[15808*3 + 0] = -0.982493f;	val_dir[15808*3 + 1] = -0.018538f;	val_dir[15808*3 + 2] = -0.185376f;
 	val_dir[15809*3 + 0] = -0.974391f;	val_dir[15809*3 + 1] = 0.0f;	val_dir[15809*3 + 2] = -0.224860f;
 	val_dir[15810*3 + 0] = -0.973240f;	val_dir[15810*3 + 1] = 0.019083f;	val_dir[15810*3 + 2] = -0.228998f;
 	val_dir[15811*3 + 0] = -0.971653f;	val_dir[15811*3 + 1] = 0.038866f;	val_dir[15811*3 + 2] = -0.233197f;
 	val_dir[15812*3 + 0] = -0.969584f;	val_dir[15812*3 + 1] = 0.059362f;	val_dir[15812*3 + 2] = -0.237449f;
 	val_dir[15813*3 + 0] = -0.966988f;	val_dir[15813*3 + 1] = 0.080582f;	val_dir[15813*3 + 2] = -0.241747f;
 	val_dir[15814*3 + 0] = -0.963811f;	val_dir[15814*3 + 1] = 0.102533f;	val_dir[15814*3 + 2] = -0.246079f;
 	val_dir[15815*3 + 0] = -0.960001f;	val_dir[15815*3 + 1] = 0.125218f;	val_dir[15815*3 + 2] = -0.250435f;
 	val_dir[15816*3 + 0] = -0.955502f;	val_dir[15816*3 + 1] = 0.148634f;	val_dir[15816*3 + 2] = -0.254801f;
 	val_dir[15817*3 + 0] = -0.950255f;	val_dir[15817*3 + 1] = 0.172774f;	val_dir[15817*3 + 2] = -0.259161f;
 	val_dir[15818*3 + 0] = -0.94420f;	val_dir[15818*3 + 1] = 0.197623f;	val_dir[15818*3 + 2] = -0.263498f;
 	val_dir[15819*3 + 0] = -0.937276f;	val_dir[15819*3 + 1] = 0.223161f;	val_dir[15819*3 + 2] = -0.267793f;
 	val_dir[15820*3 + 0] = -0.929421f;	val_dir[15820*3 + 1] = 0.249357f;	val_dir[15820*3 + 2] = -0.272026f;
 	val_dir[15821*3 + 0] = -0.920575f;	val_dir[15821*3 + 1] = 0.276172f;	val_dir[15821*3 + 2] = -0.276172f;
 	val_dir[15822*3 + 0] = -0.910678f;	val_dir[15822*3 + 1] = 0.303559f;	val_dir[15822*3 + 2] = -0.280209f;
 	val_dir[15823*3 + 0] = -0.899676f;	val_dir[15823*3 + 1] = 0.331460f;	val_dir[15823*3 + 2] = -0.284108f;
 	val_dir[15824*3 + 0] = -0.887517f;	val_dir[15824*3 + 1] = 0.359804f;	val_dir[15824*3 + 2] = -0.287843f;
 	val_dir[15825*3 + 0] = -0.874157f;	val_dir[15825*3 + 1] = 0.388514f;	val_dir[15825*3 + 2] = -0.291386f;
 	val_dir[15826*3 + 0] = -0.859559f;	val_dir[15826*3 + 1] = 0.41750f;	val_dir[15826*3 + 2] = -0.294706f;
 	val_dir[15827*3 + 0] = -0.843696f;	val_dir[15827*3 + 1] = 0.446662f;	val_dir[15827*3 + 2] = -0.297775f;
 	val_dir[15828*3 + 0] = -0.826551f;	val_dir[15828*3 + 1] = 0.475893f;	val_dir[15828*3 + 2] = -0.300564f;
 	val_dir[15829*3 + 0] = -0.808122f;	val_dir[15829*3 + 1] = 0.505076f;	val_dir[15829*3 + 2] = -0.303046f;
 	val_dir[15830*3 + 0] = -0.788419f;	val_dir[15830*3 + 1] = 0.534090f;	val_dir[15830*3 + 2] = -0.305194f;
 	val_dir[15831*3 + 0] = -0.767467f;	val_dir[15831*3 + 1] = 0.562809f;	val_dir[15831*3 + 2] = -0.306987f;
 	val_dir[15832*3 + 0] = -0.745307f;	val_dir[15832*3 + 1] = 0.591105f;	val_dir[15832*3 + 2] = -0.308403f;
 	val_dir[15833*3 + 0] = -0.721995f;	val_dir[15833*3 + 1] = 0.618853f;	val_dir[15833*3 + 2] = -0.309426f;
 	val_dir[15834*3 + 0] = -0.697602f;	val_dir[15834*3 + 1] = 0.645928f;	val_dir[15834*3 + 2] = -0.310045f;
 	val_dir[15835*3 + 0] = -0.672214f;	val_dir[15835*3 + 1] = 0.672214f;	val_dir[15835*3 + 2] = -0.310253f;
 	val_dir[15836*3 + 0] = -0.645928f;	val_dir[15836*3 + 1] = 0.697602f;	val_dir[15836*3 + 2] = -0.310045f;
 	val_dir[15837*3 + 0] = -0.618853f;	val_dir[15837*3 + 1] = 0.721995f;	val_dir[15837*3 + 2] = -0.309426f;
 	val_dir[15838*3 + 0] = -0.591105f;	val_dir[15838*3 + 1] = 0.745307f;	val_dir[15838*3 + 2] = -0.308403f;
 	val_dir[15839*3 + 0] = -0.562809f;	val_dir[15839*3 + 1] = 0.767467f;	val_dir[15839*3 + 2] = -0.306987f;
 	val_dir[15840*3 + 0] = -0.534090f;	val_dir[15840*3 + 1] = 0.788419f;	val_dir[15840*3 + 2] = -0.305194f;
 	val_dir[15841*3 + 0] = -0.505076f;	val_dir[15841*3 + 1] = 0.808122f;	val_dir[15841*3 + 2] = -0.303046f;
 	val_dir[15842*3 + 0] = -0.475893f;	val_dir[15842*3 + 1] = 0.826551f;	val_dir[15842*3 + 2] = -0.300564f;
 	val_dir[15843*3 + 0] = -0.446662f;	val_dir[15843*3 + 1] = 0.843696f;	val_dir[15843*3 + 2] = -0.297775f;
 	val_dir[15844*3 + 0] = -0.41750f;	val_dir[15844*3 + 1] = 0.859559f;	val_dir[15844*3 + 2] = -0.294706f;
 	val_dir[15845*3 + 0] = -0.388514f;	val_dir[15845*3 + 1] = 0.874157f;	val_dir[15845*3 + 2] = -0.291386f;
 	val_dir[15846*3 + 0] = -0.359804f;	val_dir[15846*3 + 1] = 0.887517f;	val_dir[15846*3 + 2] = -0.287843f;
 	val_dir[15847*3 + 0] = -0.331460f;	val_dir[15847*3 + 1] = 0.899676f;	val_dir[15847*3 + 2] = -0.284108f;
 	val_dir[15848*3 + 0] = -0.303559f;	val_dir[15848*3 + 1] = 0.910678f;	val_dir[15848*3 + 2] = -0.280209f;
 	val_dir[15849*3 + 0] = -0.276172f;	val_dir[15849*3 + 1] = 0.920575f;	val_dir[15849*3 + 2] = -0.276172f;
 	val_dir[15850*3 + 0] = -0.249357f;	val_dir[15850*3 + 1] = 0.929421f;	val_dir[15850*3 + 2] = -0.272026f;
 	val_dir[15851*3 + 0] = -0.223161f;	val_dir[15851*3 + 1] = 0.937276f;	val_dir[15851*3 + 2] = -0.267793f;
 	val_dir[15852*3 + 0] = -0.197623f;	val_dir[15852*3 + 1] = 0.94420f;	val_dir[15852*3 + 2] = -0.263498f;
 	val_dir[15853*3 + 0] = -0.172774f;	val_dir[15853*3 + 1] = 0.950255f;	val_dir[15853*3 + 2] = -0.259161f;
 	val_dir[15854*3 + 0] = -0.148634f;	val_dir[15854*3 + 1] = 0.955502f;	val_dir[15854*3 + 2] = -0.254801f;
 	val_dir[15855*3 + 0] = -0.125218f;	val_dir[15855*3 + 1] = 0.960001f;	val_dir[15855*3 + 2] = -0.250435f;
 	val_dir[15856*3 + 0] = -0.102533f;	val_dir[15856*3 + 1] = 0.963811f;	val_dir[15856*3 + 2] = -0.246079f;
 	val_dir[15857*3 + 0] = -0.080582f;	val_dir[15857*3 + 1] = 0.966988f;	val_dir[15857*3 + 2] = -0.241747f;
 	val_dir[15858*3 + 0] = -0.059362f;	val_dir[15858*3 + 1] = 0.969584f;	val_dir[15858*3 + 2] = -0.237449f;
 	val_dir[15859*3 + 0] = -0.038866f;	val_dir[15859*3 + 1] = 0.971653f;	val_dir[15859*3 + 2] = -0.233197f;
 	val_dir[15860*3 + 0] = -0.019083f;	val_dir[15860*3 + 1] = 0.973240f;	val_dir[15860*3 + 2] = -0.228998f;
 	val_dir[15861*3 + 0] = 0.0f;	val_dir[15861*3 + 1] = 0.974391f;	val_dir[15861*3 + 2] = -0.224860f;
 	val_dir[15862*3 + 0] = 0.018538f;	val_dir[15862*3 + 1] = 0.982493f;	val_dir[15862*3 + 2] = -0.185376f;
 	val_dir[15863*3 + 0] = 0.036613f;	val_dir[15863*3 + 1] = 0.988540f;	val_dir[15863*3 + 2] = -0.146450f;
 	val_dir[15864*3 + 0] = 0.054144f;	val_dir[15864*3 + 1] = 0.992644f;	val_dir[15864*3 + 2] = -0.108288f;
 	val_dir[15865*3 + 0] = 0.071067f;	val_dir[15865*3 + 1] = 0.994937f;	val_dir[15865*3 + 2] = -0.071067f;
 	val_dir[15866*3 + 0] = 0.087330f;	val_dir[15866*3 + 1] = 0.995567f;	val_dir[15866*3 + 2] = -0.034932f;
 	val_dir[15867*3 + 0] = 0.102899f;	val_dir[15867*3 + 1] = 0.994692f;	val_dir[15867*3 + 2] = 0.0f;
 	val_dir[15868*3 + 0] = -0.996158f;	val_dir[15868*3 + 1] = -0.085876f;	val_dir[15868*3 + 2] = -0.017175f;
 	val_dir[15869*3 + 0] = -0.996175f;	val_dir[15869*3 + 1] = -0.069907f;	val_dir[15869*3 + 2] = -0.052430f;
 	val_dir[15870*3 + 0] = -0.994623f;	val_dir[15870*3 + 1] = -0.053283f;	val_dir[15870*3 + 2] = -0.088806f;
 	val_dir[15871*3 + 0] = -0.991353f;	val_dir[15871*3 + 1] = -0.036049f;	val_dir[15871*3 + 2] = -0.126172f;
 	val_dir[15872*3 + 0] = -0.986229f;	val_dir[15872*3 + 1] = -0.018264f;	val_dir[15872*3 + 2] = -0.164372f;
 	val_dir[15873*3 + 0] = -0.979134f;	val_dir[15873*3 + 1] = 0.0f;	val_dir[15873*3 + 2] = -0.203216f;
 	val_dir[15874*3 + 0] = -0.978177f;	val_dir[15874*3 + 1] = 0.018811f;	val_dir[15874*3 + 2] = -0.206922f;
 	val_dir[15875*3 + 0] = -0.976804f;	val_dir[15875*3 + 1] = 0.038306f;	val_dir[15875*3 + 2] = -0.210683f;
 	val_dir[15876*3 + 0] = -0.974972f;	val_dir[15876*3 + 1] = 0.058498f;	val_dir[15876*3 + 2] = -0.214494f;
 	val_dir[15877*3 + 0] = -0.972636f;	val_dir[15877*3 + 1] = 0.079399f;	val_dir[15877*3 + 2] = -0.218347f;
 	val_dir[15878*3 + 0] = -0.969746f;	val_dir[15878*3 + 1] = 0.101015f;	val_dir[15878*3 + 2] = -0.222234f;
 	val_dir[15879*3 + 0] = -0.966252f;	val_dir[15879*3 + 1] = 0.123351f;	val_dir[15879*3 + 2] = -0.226144f;
 	val_dir[15880*3 + 0] = -0.962099f;	val_dir[15880*3 + 1] = 0.146406f;	val_dir[15880*3 + 2] = -0.230067f;
 	val_dir[15881*3 + 0] = -0.957230f;	val_dir[15881*3 + 1] = 0.170174f;	val_dir[15881*3 + 2] = -0.233990f;
 	val_dir[15882*3 + 0] = -0.951588f;	val_dir[15882*3 + 1] = 0.194643f;	val_dir[15882*3 + 2] = -0.237897f;
 	val_dir[15883*3 + 0] = -0.945112f;	val_dir[15883*3 + 1] = 0.219793f;	val_dir[15883*3 + 2] = -0.241773f;
 	val_dir[15884*3 + 0] = -0.937743f;	val_dir[15884*3 + 1] = 0.245599f;	val_dir[15884*3 + 2] = -0.245599f;
 	val_dir[15885*3 + 0] = -0.929421f;	val_dir[15885*3 + 1] = 0.272026f;	val_dir[15885*3 + 2] = -0.249357f;
 	val_dir[15886*3 + 0] = -0.920087f;	val_dir[15886*3 + 1] = 0.299028f;	val_dir[15886*3 + 2] = -0.253024f;
 	val_dir[15887*3 + 0] = -0.909687f;	val_dir[15887*3 + 1] = 0.326554f;	val_dir[15887*3 + 2] = -0.256578f;
 	val_dir[15888*3 + 0] = -0.898167f;	val_dir[15888*3 + 1] = 0.354540f;	val_dir[15888*3 + 2] = -0.259996f;
 	val_dir[15889*3 + 0] = -0.885482f;	val_dir[15889*3 + 1] = 0.382911f;	val_dir[15889*3 + 2] = -0.263251f;
 	val_dir[15890*3 + 0] = -0.871592f;	val_dir[15890*3 + 1] = 0.411585f;	val_dir[15890*3 + 2] = -0.266320f;
 	val_dir[15891*3 + 0] = -0.856465f;	val_dir[15891*3 + 1] = 0.440468f;	val_dir[15891*3 + 2] = -0.269175f;
 	val_dir[15892*3 + 0] = -0.840083f;	val_dir[15892*3 + 1] = 0.469458f;	val_dir[15892*3 + 2] = -0.271791f;
 	val_dir[15893*3 + 0] = -0.822434f;	val_dir[15893*3 + 1] = 0.498445f;	val_dir[15893*3 + 2] = -0.274145f;
 	val_dir[15894*3 + 0] = -0.803523f;	val_dir[15894*3 + 1] = 0.527312f;	val_dir[15894*3 + 2] = -0.276211f;
 	val_dir[15895*3 + 0] = -0.783368f;	val_dir[15895*3 + 1] = 0.555939f;	val_dir[15895*3 + 2] = -0.277969f;
 	val_dir[15896*3 + 0] = -0.762001f;	val_dir[15896*3 + 1] = 0.584201f;	val_dir[15896*3 + 2] = -0.27940f;
 	val_dir[15897*3 + 0] = -0.739469f;	val_dir[15897*3 + 1] = 0.611974f;	val_dir[15897*3 + 2] = -0.280488f;
 	val_dir[15898*3 + 0] = -0.715834f;	val_dir[15898*3 + 1] = 0.639138f;	val_dir[15898*3 + 2] = -0.281220f;
 	val_dir[15899*3 + 0] = -0.691173f;	val_dir[15899*3 + 1] = 0.665574f;	val_dir[15899*3 + 2] = -0.281589f;
 	val_dir[15900*3 + 0] = -0.665574f;	val_dir[15900*3 + 1] = 0.691173f;	val_dir[15900*3 + 2] = -0.281589f;
 	val_dir[15901*3 + 0] = -0.639138f;	val_dir[15901*3 + 1] = 0.715834f;	val_dir[15901*3 + 2] = -0.281220f;
 	val_dir[15902*3 + 0] = -0.611974f;	val_dir[15902*3 + 1] = 0.739469f;	val_dir[15902*3 + 2] = -0.280488f;
 	val_dir[15903*3 + 0] = -0.584201f;	val_dir[15903*3 + 1] = 0.762001f;	val_dir[15903*3 + 2] = -0.27940f;
 	val_dir[15904*3 + 0] = -0.555939f;	val_dir[15904*3 + 1] = 0.783368f;	val_dir[15904*3 + 2] = -0.277969f;
 	val_dir[15905*3 + 0] = -0.527312f;	val_dir[15905*3 + 1] = 0.803523f;	val_dir[15905*3 + 2] = -0.276211f;
 	val_dir[15906*3 + 0] = -0.498445f;	val_dir[15906*3 + 1] = 0.822434f;	val_dir[15906*3 + 2] = -0.274145f;
 	val_dir[15907*3 + 0] = -0.469458f;	val_dir[15907*3 + 1] = 0.840083f;	val_dir[15907*3 + 2] = -0.271791f;
 	val_dir[15908*3 + 0] = -0.440468f;	val_dir[15908*3 + 1] = 0.856465f;	val_dir[15908*3 + 2] = -0.269175f;
 	val_dir[15909*3 + 0] = -0.411585f;	val_dir[15909*3 + 1] = 0.871592f;	val_dir[15909*3 + 2] = -0.266320f;
 	val_dir[15910*3 + 0] = -0.382911f;	val_dir[15910*3 + 1] = 0.885482f;	val_dir[15910*3 + 2] = -0.263251f;
 	val_dir[15911*3 + 0] = -0.354540f;	val_dir[15911*3 + 1] = 0.898167f;	val_dir[15911*3 + 2] = -0.259996f;
 	val_dir[15912*3 + 0] = -0.326554f;	val_dir[15912*3 + 1] = 0.909687f;	val_dir[15912*3 + 2] = -0.256578f;
 	val_dir[15913*3 + 0] = -0.299028f;	val_dir[15913*3 + 1] = 0.920087f;	val_dir[15913*3 + 2] = -0.253024f;
 	val_dir[15914*3 + 0] = -0.272026f;	val_dir[15914*3 + 1] = 0.929421f;	val_dir[15914*3 + 2] = -0.249357f;
 	val_dir[15915*3 + 0] = -0.245599f;	val_dir[15915*3 + 1] = 0.937743f;	val_dir[15915*3 + 2] = -0.245599f;
 	val_dir[15916*3 + 0] = -0.219793f;	val_dir[15916*3 + 1] = 0.945112f;	val_dir[15916*3 + 2] = -0.241773f;
 	val_dir[15917*3 + 0] = -0.194643f;	val_dir[15917*3 + 1] = 0.951588f;	val_dir[15917*3 + 2] = -0.237897f;
 	val_dir[15918*3 + 0] = -0.170174f;	val_dir[15918*3 + 1] = 0.957230f;	val_dir[15918*3 + 2] = -0.233990f;
 	val_dir[15919*3 + 0] = -0.146406f;	val_dir[15919*3 + 1] = 0.962099f;	val_dir[15919*3 + 2] = -0.230067f;
 	val_dir[15920*3 + 0] = -0.123351f;	val_dir[15920*3 + 1] = 0.966252f;	val_dir[15920*3 + 2] = -0.226144f;
 	val_dir[15921*3 + 0] = -0.101015f;	val_dir[15921*3 + 1] = 0.969746f;	val_dir[15921*3 + 2] = -0.222234f;
 	val_dir[15922*3 + 0] = -0.079399f;	val_dir[15922*3 + 1] = 0.972636f;	val_dir[15922*3 + 2] = -0.218347f;
 	val_dir[15923*3 + 0] = -0.058498f;	val_dir[15923*3 + 1] = 0.974972f;	val_dir[15923*3 + 2] = -0.214494f;
 	val_dir[15924*3 + 0] = -0.038306f;	val_dir[15924*3 + 1] = 0.976804f;	val_dir[15924*3 + 2] = -0.210683f;
 	val_dir[15925*3 + 0] = -0.018811f;	val_dir[15925*3 + 1] = 0.978177f;	val_dir[15925*3 + 2] = -0.206922f;
 	val_dir[15926*3 + 0] = 0.0f;	val_dir[15926*3 + 1] = 0.979134f;	val_dir[15926*3 + 2] = -0.203216f;
 	val_dir[15927*3 + 0] = 0.018264f;	val_dir[15927*3 + 1] = 0.986229f;	val_dir[15927*3 + 2] = -0.164372f;
 	val_dir[15928*3 + 0] = 0.036049f;	val_dir[15928*3 + 1] = 0.991353f;	val_dir[15928*3 + 2] = -0.126172f;
 	val_dir[15929*3 + 0] = 0.053283f;	val_dir[15929*3 + 1] = 0.994623f;	val_dir[15929*3 + 2] = -0.088806f;
 	val_dir[15930*3 + 0] = 0.069907f;	val_dir[15930*3 + 1] = 0.996175f;	val_dir[15930*3 + 2] = -0.052430f;
 	val_dir[15931*3 + 0] = 0.085876f;	val_dir[15931*3 + 1] = 0.996158f;	val_dir[15931*3 + 2] = -0.017175f;
 	val_dir[15932*3 + 0] = -0.996428f;	val_dir[15932*3 + 1] = -0.084443f;	val_dir[15932*3 + 2] = 0.0f;
 	val_dir[15933*3 + 0] = -0.997041f;	val_dir[15933*3 + 1] = -0.068761f;	val_dir[15933*3 + 2] = -0.034381f;
 	val_dir[15934*3 + 0] = -0.996175f;	val_dir[15934*3 + 1] = -0.052430f;	val_dir[15934*3 + 2] = -0.069907f;
 	val_dir[15935*3 + 0] = -0.993683f;	val_dir[15935*3 + 1] = -0.035489f;	val_dir[15935*3 + 2] = -0.106466f;
 	val_dir[15936*3 + 0] = -0.989426f;	val_dir[15936*3 + 1] = -0.017990f;	val_dir[15936*3 + 2] = -0.143917f;
 	val_dir[15937*3 + 0] = -0.983282f;	val_dir[15937*3 + 1] = 0.0f;	val_dir[15937*3 + 2] = -0.182089f;
 	val_dir[15938*3 + 0] = -0.982493f;	val_dir[15938*3 + 1] = 0.018538f;	val_dir[15938*3 + 2] = -0.185376f;
 	val_dir[15939*3 + 0] = -0.981307f;	val_dir[15939*3 + 1] = 0.037743f;	val_dir[15939*3 + 2] = -0.188713f;
 	val_dir[15940*3 + 0] = -0.979683f;	val_dir[15940*3 + 1] = 0.057628f;	val_dir[15940*3 + 2] = -0.192095f;
 	val_dir[15941*3 + 0] = -0.977577f;	val_dir[15941*3 + 1] = 0.078206f;	val_dir[15941*3 + 2] = -0.195515f;
 	val_dir[15942*3 + 0] = -0.974943f;	val_dir[15942*3 + 1] = 0.099484f;	val_dir[15942*3 + 2] = -0.198968f;
 	val_dir[15943*3 + 0] = -0.971732f;	val_dir[15943*3 + 1] = 0.121466f;	val_dir[15943*3 + 2] = -0.202444f;
 	val_dir[15944*3 + 0] = -0.967890f;	val_dir[15944*3 + 1] = 0.144154f;	val_dir[15944*3 + 2] = -0.205934f;
 	val_dir[15945*3 + 0] = -0.963364f;	val_dir[15945*3 + 1] = 0.167542f;	val_dir[15945*3 + 2] = -0.209427f;
 	val_dir[15946*3 + 0] = -0.958098f;	val_dir[15946*3 + 1] = 0.191620f;	val_dir[15946*3 + 2] = -0.212911f;
 	val_dir[15947*3 + 0] = -0.952033f;	val_dir[15947*3 + 1] = 0.216371f;	val_dir[15947*3 + 2] = -0.216371f;
 	val_dir[15948*3 + 0] = -0.945112f;	val_dir[15948*3 + 1] = 0.241773f;	val_dir[15948*3 + 2] = -0.219793f;
 	val_dir[15949*3 + 0] = -0.937276f;	val_dir[15949*3 + 1] = 0.267793f;	val_dir[15949*3 + 2] = -0.223161f;
 	val_dir[15950*3 + 0] = -0.928467f;	val_dir[15950*3 + 1] = 0.294392f;	val_dir[15950*3 + 2] = -0.226455f;
 	val_dir[15951*3 + 0] = -0.918630f;	val_dir[15951*3 + 1] = 0.321521f;	val_dir[15951*3 + 2] = -0.229658f;
 	val_dir[15952*3 + 0] = -0.907713f;	val_dir[15952*3 + 1] = 0.349121f;	val_dir[15952*3 + 2] = -0.232747f;
 	val_dir[15953*3 + 0] = -0.895669f;	val_dir[15953*3 + 1] = 0.377124f;	val_dir[15953*3 + 2] = -0.235702f;
 	val_dir[15954*3 + 0] = -0.882454f;	val_dir[15954*3 + 1] = 0.405452f;	val_dir[15954*3 + 2] = -0.238501f;
 	val_dir[15955*3 + 0] = -0.868037f;	val_dir[15955*3 + 1] = 0.434019f;	val_dir[15955*3 + 2] = -0.241121f;
 	val_dir[15956*3 + 0] = -0.852392f;	val_dir[15956*3 + 1] = 0.462727f;	val_dir[15956*3 + 2] = -0.243541f;
 	val_dir[15957*3 + 0] = -0.835504f;	val_dir[15957*3 + 1] = 0.491473f;	val_dir[15957*3 + 2] = -0.245737f;
 	val_dir[15958*3 + 0] = -0.817373f;	val_dir[15958*3 + 1] = 0.520146f;	val_dir[15958*3 + 2] = -0.247689f;
 	val_dir[15959*3 + 0] = -0.798007f;	val_dir[15959*3 + 1] = 0.548630f;	val_dir[15959*3 + 2] = -0.249377f;
 	val_dir[15960*3 + 0] = -0.777433f;	val_dir[15960*3 + 1] = 0.576805f;	val_dir[15960*3 + 2] = -0.250785f;
 	val_dir[15961*3 + 0] = -0.755689f;	val_dir[15961*3 + 1] = 0.604551f;	val_dir[15961*3 + 2] = -0.251896f;
 	val_dir[15962*3 + 0] = -0.732828f;	val_dir[15962*3 + 1] = 0.631748f;	val_dir[15962*3 + 2] = -0.252699f;
 	val_dir[15963*3 + 0] = -0.708918f;	val_dir[15963*3 + 1] = 0.658281f;	val_dir[15963*3 + 2] = -0.253185f;
 	val_dir[15964*3 + 0] = -0.684038f;	val_dir[15964*3 + 1] = 0.684038f;	val_dir[15964*3 + 2] = -0.253347f;
 	val_dir[15965*3 + 0] = -0.658281f;	val_dir[15965*3 + 1] = 0.708918f;	val_dir[15965*3 + 2] = -0.253185f;
 	val_dir[15966*3 + 0] = -0.631748f;	val_dir[15966*3 + 1] = 0.732828f;	val_dir[15966*3 + 2] = -0.252699f;
 	val_dir[15967*3 + 0] = -0.604551f;	val_dir[15967*3 + 1] = 0.755689f;	val_dir[15967*3 + 2] = -0.251896f;
 	val_dir[15968*3 + 0] = -0.576805f;	val_dir[15968*3 + 1] = 0.777433f;	val_dir[15968*3 + 2] = -0.250785f;
 	val_dir[15969*3 + 0] = -0.548630f;	val_dir[15969*3 + 1] = 0.798007f;	val_dir[15969*3 + 2] = -0.249377f;
 	val_dir[15970*3 + 0] = -0.520146f;	val_dir[15970*3 + 1] = 0.817373f;	val_dir[15970*3 + 2] = -0.247689f;
 	val_dir[15971*3 + 0] = -0.491473f;	val_dir[15971*3 + 1] = 0.835504f;	val_dir[15971*3 + 2] = -0.245737f;
 	val_dir[15972*3 + 0] = -0.462727f;	val_dir[15972*3 + 1] = 0.852392f;	val_dir[15972*3 + 2] = -0.243541f;
 	val_dir[15973*3 + 0] = -0.434019f;	val_dir[15973*3 + 1] = 0.868037f;	val_dir[15973*3 + 2] = -0.241121f;
 	val_dir[15974*3 + 0] = -0.405452f;	val_dir[15974*3 + 1] = 0.882454f;	val_dir[15974*3 + 2] = -0.238501f;
 	val_dir[15975*3 + 0] = -0.377124f;	val_dir[15975*3 + 1] = 0.895669f;	val_dir[15975*3 + 2] = -0.235702f;
 	val_dir[15976*3 + 0] = -0.349121f;	val_dir[15976*3 + 1] = 0.907713f;	val_dir[15976*3 + 2] = -0.232747f;
 	val_dir[15977*3 + 0] = -0.321521f;	val_dir[15977*3 + 1] = 0.918630f;	val_dir[15977*3 + 2] = -0.229658f;
 	val_dir[15978*3 + 0] = -0.294392f;	val_dir[15978*3 + 1] = 0.928467f;	val_dir[15978*3 + 2] = -0.226455f;
 	val_dir[15979*3 + 0] = -0.267793f;	val_dir[15979*3 + 1] = 0.937276f;	val_dir[15979*3 + 2] = -0.223161f;
 	val_dir[15980*3 + 0] = -0.241773f;	val_dir[15980*3 + 1] = 0.945112f;	val_dir[15980*3 + 2] = -0.219793f;
 	val_dir[15981*3 + 0] = -0.216371f;	val_dir[15981*3 + 1] = 0.952033f;	val_dir[15981*3 + 2] = -0.216371f;
 	val_dir[15982*3 + 0] = -0.191620f;	val_dir[15982*3 + 1] = 0.958098f;	val_dir[15982*3 + 2] = -0.212911f;
 	val_dir[15983*3 + 0] = -0.167542f;	val_dir[15983*3 + 1] = 0.963364f;	val_dir[15983*3 + 2] = -0.209427f;
 	val_dir[15984*3 + 0] = -0.144154f;	val_dir[15984*3 + 1] = 0.967890f;	val_dir[15984*3 + 2] = -0.205934f;
 	val_dir[15985*3 + 0] = -0.121466f;	val_dir[15985*3 + 1] = 0.971732f;	val_dir[15985*3 + 2] = -0.202444f;
 	val_dir[15986*3 + 0] = -0.099484f;	val_dir[15986*3 + 1] = 0.974943f;	val_dir[15986*3 + 2] = -0.198968f;
 	val_dir[15987*3 + 0] = -0.078206f;	val_dir[15987*3 + 1] = 0.977577f;	val_dir[15987*3 + 2] = -0.195515f;
 	val_dir[15988*3 + 0] = -0.057628f;	val_dir[15988*3 + 1] = 0.979683f;	val_dir[15988*3 + 2] = -0.192095f;
 	val_dir[15989*3 + 0] = -0.037743f;	val_dir[15989*3 + 1] = 0.981307f;	val_dir[15989*3 + 2] = -0.188713f;
 	val_dir[15990*3 + 0] = -0.018538f;	val_dir[15990*3 + 1] = 0.982493f;	val_dir[15990*3 + 2] = -0.185376f;
 	val_dir[15991*3 + 0] = 0.0f;	val_dir[15991*3 + 1] = 0.983282f;	val_dir[15991*3 + 2] = -0.182089f;
 	val_dir[15992*3 + 0] = 0.017990f;	val_dir[15992*3 + 1] = 0.989426f;	val_dir[15992*3 + 2] = -0.143917f;
 	val_dir[15993*3 + 0] = 0.035489f;	val_dir[15993*3 + 1] = 0.993683f;	val_dir[15993*3 + 2] = -0.106466f;
 	val_dir[15994*3 + 0] = 0.052430f;	val_dir[15994*3 + 1] = 0.996175f;	val_dir[15994*3 + 2] = -0.069907f;
 	val_dir[15995*3 + 0] = 0.068761f;	val_dir[15995*3 + 1] = 0.997041f;	val_dir[15995*3 + 2] = -0.034381f;
 	val_dir[15996*3 + 0] = 0.084443f;	val_dir[15996*3 + 1] = 0.996428f;	val_dir[15996*3 + 2] = 0.0f;
 	val_dir[15997*3 + 0] = -0.997567f;	val_dir[15997*3 + 1] = -0.067632f;	val_dir[15997*3 + 2] = -0.016908f;
 	val_dir[15998*3 + 0] = -0.997335f;	val_dir[15998*3 + 1] = -0.051586f;	val_dir[15998*3 + 2] = -0.051586f;
 	val_dir[15999*3 + 0] = -0.995567f;	val_dir[15999*3 + 1] = -0.034932f;	val_dir[15999*3 + 2] = -0.087330f;
 	val_dir[16000*3 + 0] = -0.992122f;	val_dir[16000*3 + 1] = -0.017716f;	val_dir[16000*3 + 2] = -0.124015f;
 	val_dir[16001*3 + 0] = -0.986875f;	val_dir[16001*3 + 1] = 0.0f;	val_dir[16001*3 + 2] = -0.161489f;
 	val_dir[16002*3 + 0] = -0.986229f;	val_dir[16002*3 + 1] = 0.018264f;	val_dir[16002*3 + 2] = -0.164372f;
 	val_dir[16003*3 + 0] = -0.985205f;	val_dir[16003*3 + 1] = 0.037178f;	val_dir[16003*3 + 2] = -0.167299f;
 	val_dir[16004*3 + 0] = -0.983762f;	val_dir[16004*3 + 1] = 0.056756f;	val_dir[16004*3 + 2] = -0.170267f;
 	val_dir[16005*3 + 0] = -0.981859f;	val_dir[16005*3 + 1] = 0.077009f;	val_dir[16005*3 + 2] = -0.173269f;
 	val_dir[16006*3 + 0] = -0.979451f;	val_dir[16006*3 + 1] = 0.097945f;	val_dir[16006*3 + 2] = -0.176301f;
 	val_dir[16007*3 + 0] = -0.976491f;	val_dir[16007*3 + 1] = 0.119570f;	val_dir[16007*3 + 2] = -0.179355f;
 	val_dir[16008*3 + 0] = -0.972929f;	val_dir[16008*3 + 1] = 0.141885f;	val_dir[16008*3 + 2] = -0.182424f;
 	val_dir[16009*3 + 0] = -0.968712f;	val_dir[16009*3 + 1] = 0.164887f;	val_dir[16009*3 + 2] = -0.185498f;
 	val_dir[16010*3 + 0] = -0.963787f;	val_dir[16010*3 + 1] = 0.188567f;	val_dir[16010*3 + 2] = -0.188567f;
 	val_dir[16011*3 + 0] = -0.958098f;	val_dir[16011*3 + 1] = 0.212911f;	val_dir[16011*3 + 2] = -0.191620f;
 	val_dir[16012*3 + 0] = -0.951588f;	val_dir[16012*3 + 1] = 0.237897f;	val_dir[16012*3 + 2] = -0.194643f;
 	val_dir[16013*3 + 0] = -0.94420f;	val_dir[16013*3 + 1] = 0.263498f;	val_dir[16013*3 + 2] = -0.197623f;
 	val_dir[16014*3 + 0] = -0.935879f;	val_dir[16014*3 + 1] = 0.289677f;	val_dir[16014*3 + 2] = -0.200545f;
 	val_dir[16015*3 + 0] = -0.926568f;	val_dir[16015*3 + 1] = 0.316389f;	val_dir[16015*3 + 2] = -0.203393f;
 	val_dir[16016*3 + 0] = -0.916217f;	val_dir[16016*3 + 1] = 0.343582f;	val_dir[16016*3 + 2] = -0.206149f;
 	val_dir[16017*3 + 0] = -0.904777f;	val_dir[16017*3 + 1] = 0.371191f;	val_dir[16017*3 + 2] = -0.208795f;
 	val_dir[16018*3 + 0] = -0.892206f;	val_dir[16018*3 + 1] = 0.399145f;	val_dir[16018*3 + 2] = -0.211312f;
 	val_dir[16019*3 + 0] = -0.878466f;	val_dir[16019*3 + 1] = 0.427362f;	val_dir[16019*3 + 2] = -0.213681f;
 	val_dir[16020*3 + 0] = -0.863530f;	val_dir[16020*3 + 1] = 0.455752f;	val_dir[16020*3 + 2] = -0.215883f;
 	val_dir[16021*3 + 0] = -0.847381f;	val_dir[16021*3 + 1] = 0.484217f;	val_dir[16021*3 + 2] = -0.217898f;
 	val_dir[16022*3 + 0] = -0.830009f;	val_dir[16022*3 + 1] = 0.512653f;	val_dir[16022*3 + 2] = -0.219708f;
 	val_dir[16023*3 + 0] = -0.811421f;	val_dir[16023*3 + 1] = 0.540947f;	val_dir[16023*3 + 2] = -0.221297f;
 	val_dir[16024*3 + 0] = -0.791633f;	val_dir[16024*3 + 1] = 0.568986f;	val_dir[16024*3 + 2] = -0.222647f;
 	val_dir[16025*3 + 0] = -0.770677f;	val_dir[16025*3 + 1] = 0.596653f;	val_dir[16025*3 + 2] = -0.223745f;
 	val_dir[16026*3 + 0] = -0.748598f;	val_dir[16026*3 + 1] = 0.623831f;	val_dir[16026*3 + 2] = -0.224579f;
 	val_dir[16027*3 + 0] = -0.725454f;	val_dir[16027*3 + 1] = 0.650407f;	val_dir[16027*3 + 2] = -0.225141f;
 	val_dir[16028*3 + 0] = -0.701316f;	val_dir[16028*3 + 1] = 0.676269f;	val_dir[16028*3 + 2] = -0.225423f;
 	val_dir[16029*3 + 0] = -0.676269f;	val_dir[16029*3 + 1] = 0.701316f;	val_dir[16029*3 + 2] = -0.225423f;
 	val_dir[16030*3 + 0] = -0.650407f;	val_dir[16030*3 + 1] = 0.725454f;	val_dir[16030*3 + 2] = -0.225141f;
 	val_dir[16031*3 + 0] = -0.623831f;	val_dir[16031*3 + 1] = 0.748598f;	val_dir[16031*3 + 2] = -0.224579f;
 	val_dir[16032*3 + 0] = -0.596653f;	val_dir[16032*3 + 1] = 0.770677f;	val_dir[16032*3 + 2] = -0.223745f;
 	val_dir[16033*3 + 0] = -0.568986f;	val_dir[16033*3 + 1] = 0.791633f;	val_dir[16033*3 + 2] = -0.222647f;
 	val_dir[16034*3 + 0] = -0.540947f;	val_dir[16034*3 + 1] = 0.811421f;	val_dir[16034*3 + 2] = -0.221297f;
 	val_dir[16035*3 + 0] = -0.512653f;	val_dir[16035*3 + 1] = 0.830009f;	val_dir[16035*3 + 2] = -0.219708f;
 	val_dir[16036*3 + 0] = -0.484217f;	val_dir[16036*3 + 1] = 0.847381f;	val_dir[16036*3 + 2] = -0.217898f;
 	val_dir[16037*3 + 0] = -0.455752f;	val_dir[16037*3 + 1] = 0.863530f;	val_dir[16037*3 + 2] = -0.215883f;
 	val_dir[16038*3 + 0] = -0.427362f;	val_dir[16038*3 + 1] = 0.878466f;	val_dir[16038*3 + 2] = -0.213681f;
 	val_dir[16039*3 + 0] = -0.399145f;	val_dir[16039*3 + 1] = 0.892206f;	val_dir[16039*3 + 2] = -0.211312f;
 	val_dir[16040*3 + 0] = -0.371191f;	val_dir[16040*3 + 1] = 0.904777f;	val_dir[16040*3 + 2] = -0.208795f;
 	val_dir[16041*3 + 0] = -0.343582f;	val_dir[16041*3 + 1] = 0.916217f;	val_dir[16041*3 + 2] = -0.206149f;
 	val_dir[16042*3 + 0] = -0.316389f;	val_dir[16042*3 + 1] = 0.926568f;	val_dir[16042*3 + 2] = -0.203393f;
 	val_dir[16043*3 + 0] = -0.289677f;	val_dir[16043*3 + 1] = 0.935879f;	val_dir[16043*3 + 2] = -0.200545f;
 	val_dir[16044*3 + 0] = -0.263498f;	val_dir[16044*3 + 1] = 0.94420f;	val_dir[16044*3 + 2] = -0.197623f;
 	val_dir[16045*3 + 0] = -0.237897f;	val_dir[16045*3 + 1] = 0.951588f;	val_dir[16045*3 + 2] = -0.194643f;
 	val_dir[16046*3 + 0] = -0.212911f;	val_dir[16046*3 + 1] = 0.958098f;	val_dir[16046*3 + 2] = -0.191620f;
 	val_dir[16047*3 + 0] = -0.188567f;	val_dir[16047*3 + 1] = 0.963787f;	val_dir[16047*3 + 2] = -0.188567f;
 	val_dir[16048*3 + 0] = -0.164887f;	val_dir[16048*3 + 1] = 0.968712f;	val_dir[16048*3 + 2] = -0.185498f;
 	val_dir[16049*3 + 0] = -0.141885f;	val_dir[16049*3 + 1] = 0.972929f;	val_dir[16049*3 + 2] = -0.182424f;
 	val_dir[16050*3 + 0] = -0.119570f;	val_dir[16050*3 + 1] = 0.976491f;	val_dir[16050*3 + 2] = -0.179355f;
 	val_dir[16051*3 + 0] = -0.097945f;	val_dir[16051*3 + 1] = 0.979451f;	val_dir[16051*3 + 2] = -0.176301f;
 	val_dir[16052*3 + 0] = -0.077009f;	val_dir[16052*3 + 1] = 0.981859f;	val_dir[16052*3 + 2] = -0.173269f;
 	val_dir[16053*3 + 0] = -0.056756f;	val_dir[16053*3 + 1] = 0.983762f;	val_dir[16053*3 + 2] = -0.170267f;
 	val_dir[16054*3 + 0] = -0.037178f;	val_dir[16054*3 + 1] = 0.985205f;	val_dir[16054*3 + 2] = -0.167299f;
 	val_dir[16055*3 + 0] = -0.018264f;	val_dir[16055*3 + 1] = 0.986229f;	val_dir[16055*3 + 2] = -0.164372f;
 	val_dir[16056*3 + 0] = 0.0f;	val_dir[16056*3 + 1] = 0.986875f;	val_dir[16056*3 + 2] = -0.161489f;
 	val_dir[16057*3 + 0] = 0.017716f;	val_dir[16057*3 + 1] = 0.992122f;	val_dir[16057*3 + 2] = -0.124015f;
 	val_dir[16058*3 + 0] = 0.034932f;	val_dir[16058*3 + 1] = 0.995567f;	val_dir[16058*3 + 2] = -0.087330f;
 	val_dir[16059*3 + 0] = 0.051586f;	val_dir[16059*3 + 1] = 0.997335f;	val_dir[16059*3 + 2] = -0.051586f;
 	val_dir[16060*3 + 0] = 0.067632f;	val_dir[16060*3 + 1] = 0.997567f;	val_dir[16060*3 + 2] = -0.016908f;
 	val_dir[16061*3 + 0] = -0.997785f;	val_dir[16061*3 + 1] = -0.066519f;	val_dir[16061*3 + 2] = 0.0f;
 	val_dir[16062*3 + 0] = -0.998138f;	val_dir[16062*3 + 1] = -0.050753f;	val_dir[16062*3 + 2] = -0.033835f;
 	val_dir[16063*3 + 0] = -0.997041f;	val_dir[16063*3 + 1] = -0.034381f;	val_dir[16063*3 + 2] = -0.068761f;
 	val_dir[16064*3 + 0] = -0.994354f;	val_dir[16064*3 + 1] = -0.017445f;	val_dir[16064*3 + 2] = -0.104669f;
 	val_dir[16065*3 + 0] = -0.989949f;	val_dir[16065*3 + 1] = 0.0f;	val_dir[16065*3 + 2] = -0.141421f;
 	val_dir[16066*3 + 0] = -0.989426f;	val_dir[16066*3 + 1] = 0.017990f;	val_dir[16066*3 + 2] = -0.143917f;
 	val_dir[16067*3 + 0] = -0.988540f;	val_dir[16067*3 + 1] = 0.036613f;	val_dir[16067*3 + 2] = -0.146450f;
 	val_dir[16068*3 + 0] = -0.987254f;	val_dir[16068*3 + 1] = 0.055882f;	val_dir[16068*3 + 2] = -0.149019f;
 	val_dir[16069*3 + 0] = -0.985527f;	val_dir[16069*3 + 1] = 0.075810f;	val_dir[16069*3 + 2] = -0.151620f;
 	val_dir[16070*3 + 0] = -0.983318f;	val_dir[16070*3 + 1] = 0.096404f;	val_dir[16070*3 + 2] = -0.154246f;
 	val_dir[16071*3 + 0] = -0.980581f;	val_dir[16071*3 + 1] = 0.117670f;	val_dir[16071*3 + 2] = -0.156893f;
 	val_dir[16072*3 + 0] = -0.977267f;	val_dir[16072*3 + 1] = 0.139610f;	val_dir[16072*3 + 2] = -0.159554f;
 	val_dir[16073*3 + 0] = -0.973329f;	val_dir[16073*3 + 1] = 0.162221f;	val_dir[16073*3 + 2] = -0.162221f;
 	val_dir[16074*3 + 0] = -0.968712f;	val_dir[16074*3 + 1] = 0.185498f;	val_dir[16074*3 + 2] = -0.164887f;
 	val_dir[16075*3 + 0] = -0.963364f;	val_dir[16075*3 + 1] = 0.209427f;	val_dir[16075*3 + 2] = -0.167542f;
 	val_dir[16076*3 + 0] = -0.957230f;	val_dir[16076*3 + 1] = 0.233990f;	val_dir[16076*3 + 2] = -0.170174f;
 	val_dir[16077*3 + 0] = -0.950255f;	val_dir[16077*3 + 1] = 0.259161f;	val_dir[16077*3 + 2] = -0.172774f;
 	val_dir[16078*3 + 0] = -0.942384f;	val_dir[16078*3 + 1] = 0.284907f;	val_dir[16078*3 + 2] = -0.175327f;
 	val_dir[16079*3 + 0] = -0.933564f;	val_dir[16079*3 + 1] = 0.311188f;	val_dir[16079*3 + 2] = -0.177822f;
 	val_dir[16080*3 + 0] = -0.923742f;	val_dir[16080*3 + 1] = 0.337954f;	val_dir[16080*3 + 2] = -0.180242f;
 	val_dir[16081*3 + 0] = -0.912871f;	val_dir[16081*3 + 1] = 0.365148f;	val_dir[16081*3 + 2] = -0.182574f;
 	val_dir[16082*3 + 0] = -0.900907f;	val_dir[16082*3 + 1] = 0.392703f;	val_dir[16082*3 + 2] = -0.184801f;
 	val_dir[16083*3 + 0] = -0.887812f;	val_dir[16083*3 + 1] = 0.420542f;	val_dir[16083*3 + 2] = -0.186908f;
 	val_dir[16084*3 + 0] = -0.873555f;	val_dir[16084*3 + 1] = 0.448583f;	val_dir[16084*3 + 2] = -0.188877f;
 	val_dir[16085*3 + 0] = -0.858116f;	val_dir[16085*3 + 1] = 0.476731f;	val_dir[16085*3 + 2] = -0.190693f;
 	val_dir[16086*3 + 0] = -0.841482f;	val_dir[16086*3 + 1] = 0.504889f;	val_dir[16086*3 + 2] = -0.192339f;
 	val_dir[16087*3 + 0] = -0.823653f;	val_dir[16087*3 + 1] = 0.532952f;	val_dir[16087*3 + 2] = -0.193801f;
 	val_dir[16088*3 + 0] = -0.804639f;	val_dir[16088*3 + 1] = 0.560809f;	val_dir[16088*3 + 2] = -0.195064f;
 	val_dir[16089*3 + 0] = -0.784465f;	val_dir[16089*3 + 1] = 0.588348f;	val_dir[16089*3 + 2] = -0.196116f;
 	val_dir[16090*3 + 0] = -0.763167f;	val_dir[16090*3 + 1] = 0.615457f;	val_dir[16090*3 + 2] = -0.196946f;
 	val_dir[16091*3 + 0] = -0.740797f;	val_dir[16091*3 + 1] = 0.642024f;	val_dir[16091*3 + 2] = -0.197546f;
 	val_dir[16092*3 + 0] = -0.717418f;	val_dir[16092*3 + 1] = 0.667940f;	val_dir[16092*3 + 2] = -0.197908f;
 	val_dir[16093*3 + 0] = -0.693103f;	val_dir[16093*3 + 1] = 0.693103f;	val_dir[16093*3 + 2] = -0.198030f;
 	val_dir[16094*3 + 0] = -0.667940f;	val_dir[16094*3 + 1] = 0.717418f;	val_dir[16094*3 + 2] = -0.197908f;
 	val_dir[16095*3 + 0] = -0.642024f;	val_dir[16095*3 + 1] = 0.740797f;	val_dir[16095*3 + 2] = -0.197546f;
 	val_dir[16096*3 + 0] = -0.615457f;	val_dir[16096*3 + 1] = 0.763167f;	val_dir[16096*3 + 2] = -0.196946f;
 	val_dir[16097*3 + 0] = -0.588348f;	val_dir[16097*3 + 1] = 0.784465f;	val_dir[16097*3 + 2] = -0.196116f;
 	val_dir[16098*3 + 0] = -0.560809f;	val_dir[16098*3 + 1] = 0.804639f;	val_dir[16098*3 + 2] = -0.195064f;
 	val_dir[16099*3 + 0] = -0.532952f;	val_dir[16099*3 + 1] = 0.823653f;	val_dir[16099*3 + 2] = -0.193801f;
 	val_dir[16100*3 + 0] = -0.504889f;	val_dir[16100*3 + 1] = 0.841482f;	val_dir[16100*3 + 2] = -0.192339f;
 	val_dir[16101*3 + 0] = -0.476731f;	val_dir[16101*3 + 1] = 0.858116f;	val_dir[16101*3 + 2] = -0.190693f;
 	val_dir[16102*3 + 0] = -0.448583f;	val_dir[16102*3 + 1] = 0.873555f;	val_dir[16102*3 + 2] = -0.188877f;
 	val_dir[16103*3 + 0] = -0.420542f;	val_dir[16103*3 + 1] = 0.887812f;	val_dir[16103*3 + 2] = -0.186908f;
 	val_dir[16104*3 + 0] = -0.392703f;	val_dir[16104*3 + 1] = 0.900907f;	val_dir[16104*3 + 2] = -0.184801f;
 	val_dir[16105*3 + 0] = -0.365148f;	val_dir[16105*3 + 1] = 0.912871f;	val_dir[16105*3 + 2] = -0.182574f;
 	val_dir[16106*3 + 0] = -0.337954f;	val_dir[16106*3 + 1] = 0.923742f;	val_dir[16106*3 + 2] = -0.180242f;
 	val_dir[16107*3 + 0] = -0.311188f;	val_dir[16107*3 + 1] = 0.933564f;	val_dir[16107*3 + 2] = -0.177822f;
 	val_dir[16108*3 + 0] = -0.284907f;	val_dir[16108*3 + 1] = 0.942384f;	val_dir[16108*3 + 2] = -0.175327f;
 	val_dir[16109*3 + 0] = -0.259161f;	val_dir[16109*3 + 1] = 0.950255f;	val_dir[16109*3 + 2] = -0.172774f;
 	val_dir[16110*3 + 0] = -0.233990f;	val_dir[16110*3 + 1] = 0.957230f;	val_dir[16110*3 + 2] = -0.170174f;
 	val_dir[16111*3 + 0] = -0.209427f;	val_dir[16111*3 + 1] = 0.963364f;	val_dir[16111*3 + 2] = -0.167542f;
 	val_dir[16112*3 + 0] = -0.185498f;	val_dir[16112*3 + 1] = 0.968712f;	val_dir[16112*3 + 2] = -0.164887f;
 	val_dir[16113*3 + 0] = -0.162221f;	val_dir[16113*3 + 1] = 0.973329f;	val_dir[16113*3 + 2] = -0.162221f;
 	val_dir[16114*3 + 0] = -0.139610f;	val_dir[16114*3 + 1] = 0.977267f;	val_dir[16114*3 + 2] = -0.159554f;
 	val_dir[16115*3 + 0] = -0.117670f;	val_dir[16115*3 + 1] = 0.980581f;	val_dir[16115*3 + 2] = -0.156893f;
 	val_dir[16116*3 + 0] = -0.096404f;	val_dir[16116*3 + 1] = 0.983318f;	val_dir[16116*3 + 2] = -0.154246f;
 	val_dir[16117*3 + 0] = -0.075810f;	val_dir[16117*3 + 1] = 0.985527f;	val_dir[16117*3 + 2] = -0.151620f;
 	val_dir[16118*3 + 0] = -0.055882f;	val_dir[16118*3 + 1] = 0.987254f;	val_dir[16118*3 + 2] = -0.149019f;
 	val_dir[16119*3 + 0] = -0.036613f;	val_dir[16119*3 + 1] = 0.988540f;	val_dir[16119*3 + 2] = -0.146450f;
 	val_dir[16120*3 + 0] = -0.017990f;	val_dir[16120*3 + 1] = 0.989426f;	val_dir[16120*3 + 2] = -0.143917f;
 	val_dir[16121*3 + 0] = 0.0f;	val_dir[16121*3 + 1] = 0.989949f;	val_dir[16121*3 + 2] = -0.141421f;
 	val_dir[16122*3 + 0] = 0.017445f;	val_dir[16122*3 + 1] = 0.994354f;	val_dir[16122*3 + 2] = -0.104669f;
 	val_dir[16123*3 + 0] = 0.034381f;	val_dir[16123*3 + 1] = 0.997041f;	val_dir[16123*3 + 2] = -0.068761f;
 	val_dir[16124*3 + 0] = 0.050753f;	val_dir[16124*3 + 1] = 0.998138f;	val_dir[16124*3 + 2] = -0.033835f;
 	val_dir[16125*3 + 0] = 0.066519f;	val_dir[16125*3 + 1] = 0.997785f;	val_dir[16125*3 + 2] = 0.0f;
 	val_dir[16126*3 + 0] = -0.998614f;	val_dir[16126*3 + 1] = -0.049931f;	val_dir[16126*3 + 2] = -0.016644f;
 	val_dir[16127*3 + 0] = -0.998138f;	val_dir[16127*3 + 1] = -0.033835f;	val_dir[16127*3 + 2] = -0.050753f;
 	val_dir[16128*3 + 0] = -0.996158f;	val_dir[16128*3 + 1] = -0.017175f;	val_dir[16128*3 + 2] = -0.085876f;
 	val_dir[16129*3 + 0] = -0.992543f;	val_dir[16129*3 + 1] = 0.0f;	val_dir[16129*3 + 2] = -0.121891f;
 	val_dir[16130*3 + 0] = -0.992122f;	val_dir[16130*3 + 1] = 0.017716f;	val_dir[16130*3 + 2] = -0.124015f;
 	val_dir[16131*3 + 0] = -0.991353f;	val_dir[16131*3 + 1] = 0.036049f;	val_dir[16131*3 + 2] = -0.126172f;
 	val_dir[16132*3 + 0] = -0.990201f;	val_dir[16132*3 + 1] = 0.055011f;	val_dir[16132*3 + 2] = -0.128359f;
 	val_dir[16133*3 + 0] = -0.988627f;	val_dir[16133*3 + 1] = 0.074613f;	val_dir[16133*3 + 2] = -0.130573f;
 	val_dir[16134*3 + 0] = -0.986591f;	val_dir[16134*3 + 1] = 0.094865f;	val_dir[16134*3 + 2] = -0.132810f;
 	val_dir[16135*3 + 0] = -0.984050f;	val_dir[16135*3 + 1] = 0.115771f;	val_dir[16135*3 + 2] = -0.135066f;
 	val_dir[16136*3 + 0] = -0.980958f;	val_dir[16136*3 + 1] = 0.137334f;	val_dir[16136*3 + 2] = -0.137334f;
 	val_dir[16137*3 + 0] = -0.977267f;	val_dir[16137*3 + 1] = 0.159554f;	val_dir[16137*3 + 2] = -0.139610f;
 	val_dir[16138*3 + 0] = -0.972929f;	val_dir[16138*3 + 1] = 0.182424f;	val_dir[16138*3 + 2] = -0.141885f;
 	val_dir[16139*3 + 0] = -0.967890f;	val_dir[16139*3 + 1] = 0.205934f;	val_dir[16139*3 + 2] = -0.144154f;
 	val_dir[16140*3 + 0] = -0.962099f;	val_dir[16140*3 + 1] = 0.230067f;	val_dir[16140*3 + 2] = -0.146406f;
 	val_dir[16141*3 + 0] = -0.955502f;	val_dir[16141*3 + 1] = 0.254801f;	val_dir[16141*3 + 2] = -0.148634f;
 	val_dir[16142*3 + 0] = -0.948047f;	val_dir[16142*3 + 1] = 0.280105f;	val_dir[16142*3 + 2] = -0.150826f;
 	val_dir[16143*3 + 0] = -0.939680f;	val_dir[16143*3 + 1] = 0.305942f;	val_dir[16143*3 + 2] = -0.152971f;
 	val_dir[16144*3 + 0] = -0.930352f;	val_dir[16144*3 + 1] = 0.332269f;	val_dir[16144*3 + 2] = -0.155059f;
 	val_dir[16145*3 + 0] = -0.920014f;	val_dir[16145*3 + 1] = 0.359030f;	val_dir[16145*3 + 2] = -0.157075f;
 	val_dir[16146*3 + 0] = -0.908622f;	val_dir[16146*3 + 1] = 0.386164f;	val_dir[16146*3 + 2] = -0.159009f;
 	val_dir[16147*3 + 0] = -0.896137f;	val_dir[16147*3 + 1] = 0.413602f;	val_dir[16147*3 + 2] = -0.160845f;
 	val_dir[16148*3 + 0] = -0.882528f;	val_dir[16148*3 + 1] = 0.441264f;	val_dir[16148*3 + 2] = -0.162571f;
 	val_dir[16149*3 + 0] = -0.867770f;	val_dir[16149*3 + 1] = 0.469065f;	val_dir[16149*3 + 2] = -0.164173f;
 	val_dir[16150*3 + 0] = -0.851847f;	val_dir[16150*3 + 1] = 0.496911f;	val_dir[16150*3 + 2] = -0.165637f;
 	val_dir[16151*3 + 0] = -0.834754f;	val_dir[16151*3 + 1] = 0.524703f;	val_dir[16151*3 + 2] = -0.166951f;
 	val_dir[16152*3 + 0] = -0.816497f;	val_dir[16152*3 + 1] = 0.552336f;	val_dir[16152*3 + 2] = -0.168102f;
 	val_dir[16153*3 + 0] = -0.797092f;	val_dir[16153*3 + 1] = 0.579703f;	val_dir[16153*3 + 2] = -0.169080f;
 	val_dir[16154*3 + 0] = -0.776571f;	val_dir[16154*3 + 1] = 0.606696f;	val_dir[16154*3 + 2] = -0.169875f;
 	val_dir[16155*3 + 0] = -0.754976f;	val_dir[16155*3 + 1] = 0.633205f;	val_dir[16155*3 + 2] = -0.170478f;
 	val_dir[16156*3 + 0] = -0.732361f;	val_dir[16156*3 + 1] = 0.659125f;	val_dir[16156*3 + 2] = -0.170884f;
 	val_dir[16157*3 + 0] = -0.708794f;	val_dir[16157*3 + 1] = 0.684353f;	val_dir[16157*3 + 2] = -0.171088f;
 	val_dir[16158*3 + 0] = -0.684353f;	val_dir[16158*3 + 1] = 0.708794f;	val_dir[16158*3 + 2] = -0.171088f;
 	val_dir[16159*3 + 0] = -0.659125f;	val_dir[16159*3 + 1] = 0.732361f;	val_dir[16159*3 + 2] = -0.170884f;
 	val_dir[16160*3 + 0] = -0.633205f;	val_dir[16160*3 + 1] = 0.754976f;	val_dir[16160*3 + 2] = -0.170478f;
 	val_dir[16161*3 + 0] = -0.606696f;	val_dir[16161*3 + 1] = 0.776571f;	val_dir[16161*3 + 2] = -0.169875f;
 	val_dir[16162*3 + 0] = -0.579703f;	val_dir[16162*3 + 1] = 0.797092f;	val_dir[16162*3 + 2] = -0.169080f;
 	val_dir[16163*3 + 0] = -0.552336f;	val_dir[16163*3 + 1] = 0.816497f;	val_dir[16163*3 + 2] = -0.168102f;
 	val_dir[16164*3 + 0] = -0.524703f;	val_dir[16164*3 + 1] = 0.834754f;	val_dir[16164*3 + 2] = -0.166951f;
 	val_dir[16165*3 + 0] = -0.496911f;	val_dir[16165*3 + 1] = 0.851847f;	val_dir[16165*3 + 2] = -0.165637f;
 	val_dir[16166*3 + 0] = -0.469065f;	val_dir[16166*3 + 1] = 0.867770f;	val_dir[16166*3 + 2] = -0.164173f;
 	val_dir[16167*3 + 0] = -0.441264f;	val_dir[16167*3 + 1] = 0.882528f;	val_dir[16167*3 + 2] = -0.162571f;
 	val_dir[16168*3 + 0] = -0.413602f;	val_dir[16168*3 + 1] = 0.896137f;	val_dir[16168*3 + 2] = -0.160845f;
 	val_dir[16169*3 + 0] = -0.386164f;	val_dir[16169*3 + 1] = 0.908622f;	val_dir[16169*3 + 2] = -0.159009f;
 	val_dir[16170*3 + 0] = -0.359030f;	val_dir[16170*3 + 1] = 0.920014f;	val_dir[16170*3 + 2] = -0.157075f;
 	val_dir[16171*3 + 0] = -0.332269f;	val_dir[16171*3 + 1] = 0.930352f;	val_dir[16171*3 + 2] = -0.155059f;
 	val_dir[16172*3 + 0] = -0.305942f;	val_dir[16172*3 + 1] = 0.939680f;	val_dir[16172*3 + 2] = -0.152971f;
 	val_dir[16173*3 + 0] = -0.280105f;	val_dir[16173*3 + 1] = 0.948047f;	val_dir[16173*3 + 2] = -0.150826f;
 	val_dir[16174*3 + 0] = -0.254801f;	val_dir[16174*3 + 1] = 0.955502f;	val_dir[16174*3 + 2] = -0.148634f;
 	val_dir[16175*3 + 0] = -0.230067f;	val_dir[16175*3 + 1] = 0.962099f;	val_dir[16175*3 + 2] = -0.146406f;
 	val_dir[16176*3 + 0] = -0.205934f;	val_dir[16176*3 + 1] = 0.967890f;	val_dir[16176*3 + 2] = -0.144154f;
 	val_dir[16177*3 + 0] = -0.182424f;	val_dir[16177*3 + 1] = 0.972929f;	val_dir[16177*3 + 2] = -0.141885f;
 	val_dir[16178*3 + 0] = -0.159554f;	val_dir[16178*3 + 1] = 0.977267f;	val_dir[16178*3 + 2] = -0.139610f;
 	val_dir[16179*3 + 0] = -0.137334f;	val_dir[16179*3 + 1] = 0.980958f;	val_dir[16179*3 + 2] = -0.137334f;
 	val_dir[16180*3 + 0] = -0.115771f;	val_dir[16180*3 + 1] = 0.984050f;	val_dir[16180*3 + 2] = -0.135066f;
 	val_dir[16181*3 + 0] = -0.094865f;	val_dir[16181*3 + 1] = 0.986591f;	val_dir[16181*3 + 2] = -0.132810f;
 	val_dir[16182*3 + 0] = -0.074613f;	val_dir[16182*3 + 1] = 0.988627f;	val_dir[16182*3 + 2] = -0.130573f;
 	val_dir[16183*3 + 0] = -0.055011f;	val_dir[16183*3 + 1] = 0.990201f;	val_dir[16183*3 + 2] = -0.128359f;
 	val_dir[16184*3 + 0] = -0.036049f;	val_dir[16184*3 + 1] = 0.991353f;	val_dir[16184*3 + 2] = -0.126172f;
 	val_dir[16185*3 + 0] = -0.017716f;	val_dir[16185*3 + 1] = 0.992122f;	val_dir[16185*3 + 2] = -0.124015f;
 	val_dir[16186*3 + 0] = 0.0f;	val_dir[16186*3 + 1] = 0.992543f;	val_dir[16186*3 + 2] = -0.121891f;
 	val_dir[16187*3 + 0] = 0.017175f;	val_dir[16187*3 + 1] = 0.996158f;	val_dir[16187*3 + 2] = -0.085876f;
 	val_dir[16188*3 + 0] = 0.033835f;	val_dir[16188*3 + 1] = 0.998138f;	val_dir[16188*3 + 2] = -0.050753f;
 	val_dir[16189*3 + 0] = 0.049931f;	val_dir[16189*3 + 1] = 0.998614f;	val_dir[16189*3 + 2] = -0.016644f;
 	val_dir[16190*3 + 0] = -0.998793f;	val_dir[16190*3 + 1] = -0.049121f;	val_dir[16190*3 + 2] = 0.0f;
 	val_dir[16191*3 + 0] = -0.998891f;	val_dir[16191*3 + 1] = -0.033296f;	val_dir[16191*3 + 2] = -0.033296f;
 	val_dir[16192*3 + 0] = -0.997567f;	val_dir[16192*3 + 1] = -0.016908f;	val_dir[16192*3 + 2] = -0.067632f;
 	val_dir[16193*3 + 0] = -0.994692f;	val_dir[16193*3 + 1] = 0.0f;	val_dir[16193*3 + 2] = -0.102899f;
 	val_dir[16194*3 + 0] = -0.994354f;	val_dir[16194*3 + 1] = 0.017445f;	val_dir[16194*3 + 2] = -0.104669f;
 	val_dir[16195*3 + 0] = -0.993683f;	val_dir[16195*3 + 1] = 0.035489f;	val_dir[16195*3 + 2] = -0.106466f;
 	val_dir[16196*3 + 0] = -0.992644f;	val_dir[16196*3 + 1] = 0.054144f;	val_dir[16196*3 + 2] = -0.108288f;
 	val_dir[16197*3 + 0] = -0.991201f;	val_dir[16197*3 + 1] = 0.073422f;	val_dir[16197*3 + 2] = -0.110133f;
 	val_dir[16198*3 + 0] = -0.989316f;	val_dir[16198*3 + 1] = 0.093332f;	val_dir[16198*3 + 2] = -0.111998f;
 	val_dir[16199*3 + 0] = -0.986947f;	val_dir[16199*3 + 1] = 0.113878f;	val_dir[16199*3 + 2] = -0.113878f;
 	val_dir[16200*3 + 0] = -0.984050f;	val_dir[16200*3 + 1] = 0.135066f;	val_dir[16200*3 + 2] = -0.115771f;
 	val_dir[16201*3 + 0] = -0.980581f;	val_dir[16201*3 + 1] = 0.156893f;	val_dir[16201*3 + 2] = -0.117670f;
 	val_dir[16202*3 + 0] = -0.976491f;	val_dir[16202*3 + 1] = 0.179355f;	val_dir[16202*3 + 2] = -0.119570f;
 	val_dir[16203*3 + 0] = -0.971732f;	val_dir[16203*3 + 1] = 0.202444f;	val_dir[16203*3 + 2] = -0.121466f;
 	val_dir[16204*3 + 0] = -0.966252f;	val_dir[16204*3 + 1] = 0.226144f;	val_dir[16204*3 + 2] = -0.123351f;
 	val_dir[16205*3 + 0] = -0.960001f;	val_dir[16205*3 + 1] = 0.250435f;	val_dir[16205*3 + 2] = -0.125218f;
 	val_dir[16206*3 + 0] = -0.952928f;	val_dir[16206*3 + 1] = 0.275290f;	val_dir[16206*3 + 2] = -0.127057f;
 	val_dir[16207*3 + 0] = -0.944981f;	val_dir[16207*3 + 1] = 0.300676f;	val_dir[16207*3 + 2] = -0.128861f;
 	val_dir[16208*3 + 0] = -0.936111f;	val_dir[16208*3 + 1] = 0.326550f;	val_dir[16208*3 + 2] = -0.130620f;
 	val_dir[16209*3 + 0] = -0.926270f;	val_dir[16209*3 + 1] = 0.352865f;	val_dir[16209*3 + 2] = -0.132324f;
 	val_dir[16210*3 + 0] = -0.915416f;	val_dir[16210*3 + 1] = 0.379563f;	val_dir[16210*3 + 2] = -0.133963f;
 	val_dir[16211*3 + 0] = -0.903508f;	val_dir[16211*3 + 1] = 0.406579f;	val_dir[16211*3 + 2] = -0.135526f;
 	val_dir[16212*3 + 0] = -0.890513f;	val_dir[16212*3 + 1] = 0.433840f;	val_dir[16212*3 + 2] = -0.137002f;
 	val_dir[16213*3 + 0] = -0.876405f;	val_dir[16213*3 + 1] = 0.461266f;	val_dir[16213*3 + 2] = -0.138380f;
 	val_dir[16214*3 + 0] = -0.861164f;	val_dir[16214*3 + 1] = 0.488769f;	val_dir[16214*3 + 2] = -0.139648f;
 	val_dir[16215*3 + 0] = -0.844782f;	val_dir[16215*3 + 1] = 0.516256f;	val_dir[16215*3 + 2] = -0.140797f;
 	val_dir[16216*3 + 0] = -0.827259f;	val_dir[16216*3 + 1] = 0.543627f;	val_dir[16216*3 + 2] = -0.141816f;
 	val_dir[16217*3 + 0] = -0.808608f;	val_dir[16217*3 + 1] = 0.570782f;	val_dir[16217*3 + 2] = -0.142695f;
 	val_dir[16218*3 + 0] = -0.788851f;	val_dir[16218*3 + 1] = 0.597614f;	val_dir[16218*3 + 2] = -0.143427f;
 	val_dir[16219*3 + 0] = -0.768025f;	val_dir[16219*3 + 1] = 0.624020f;	val_dir[16219*3 + 2] = -0.144005f;
 	val_dir[16220*3 + 0] = -0.746176f;	val_dir[16220*3 + 1] = 0.649895f;	val_dir[16220*3 + 2] = -0.144421f;
 	val_dir[16221*3 + 0] = -0.723364f;	val_dir[16221*3 + 1] = 0.675140f;	val_dir[16221*3 + 2] = -0.144673f;
 	val_dir[16222*3 + 0] = -0.699659f;	val_dir[16222*3 + 1] = 0.699659f;	val_dir[16222*3 + 2] = -0.144757f;
 	val_dir[16223*3 + 0] = -0.675140f;	val_dir[16223*3 + 1] = 0.723364f;	val_dir[16223*3 + 2] = -0.144673f;
 	val_dir[16224*3 + 0] = -0.649895f;	val_dir[16224*3 + 1] = 0.746176f;	val_dir[16224*3 + 2] = -0.144421f;
 	val_dir[16225*3 + 0] = -0.624020f;	val_dir[16225*3 + 1] = 0.768025f;	val_dir[16225*3 + 2] = -0.144005f;
 	val_dir[16226*3 + 0] = -0.597614f;	val_dir[16226*3 + 1] = 0.788851f;	val_dir[16226*3 + 2] = -0.143427f;
 	val_dir[16227*3 + 0] = -0.570782f;	val_dir[16227*3 + 1] = 0.808608f;	val_dir[16227*3 + 2] = -0.142695f;
 	val_dir[16228*3 + 0] = -0.543627f;	val_dir[16228*3 + 1] = 0.827259f;	val_dir[16228*3 + 2] = -0.141816f;
 	val_dir[16229*3 + 0] = -0.516256f;	val_dir[16229*3 + 1] = 0.844782f;	val_dir[16229*3 + 2] = -0.140797f;
 	val_dir[16230*3 + 0] = -0.488769f;	val_dir[16230*3 + 1] = 0.861164f;	val_dir[16230*3 + 2] = -0.139648f;
 	val_dir[16231*3 + 0] = -0.461266f;	val_dir[16231*3 + 1] = 0.876405f;	val_dir[16231*3 + 2] = -0.138380f;
 	val_dir[16232*3 + 0] = -0.433840f;	val_dir[16232*3 + 1] = 0.890513f;	val_dir[16232*3 + 2] = -0.137002f;
 	val_dir[16233*3 + 0] = -0.406579f;	val_dir[16233*3 + 1] = 0.903508f;	val_dir[16233*3 + 2] = -0.135526f;
 	val_dir[16234*3 + 0] = -0.379563f;	val_dir[16234*3 + 1] = 0.915416f;	val_dir[16234*3 + 2] = -0.133963f;
 	val_dir[16235*3 + 0] = -0.352865f;	val_dir[16235*3 + 1] = 0.926270f;	val_dir[16235*3 + 2] = -0.132324f;
 	val_dir[16236*3 + 0] = -0.326550f;	val_dir[16236*3 + 1] = 0.936111f;	val_dir[16236*3 + 2] = -0.130620f;
 	val_dir[16237*3 + 0] = -0.300676f;	val_dir[16237*3 + 1] = 0.944981f;	val_dir[16237*3 + 2] = -0.128861f;
 	val_dir[16238*3 + 0] = -0.275290f;	val_dir[16238*3 + 1] = 0.952928f;	val_dir[16238*3 + 2] = -0.127057f;
 	val_dir[16239*3 + 0] = -0.250435f;	val_dir[16239*3 + 1] = 0.960001f;	val_dir[16239*3 + 2] = -0.125218f;
 	val_dir[16240*3 + 0] = -0.226144f;	val_dir[16240*3 + 1] = 0.966252f;	val_dir[16240*3 + 2] = -0.123351f;
 	val_dir[16241*3 + 0] = -0.202444f;	val_dir[16241*3 + 1] = 0.971732f;	val_dir[16241*3 + 2] = -0.121466f;
 	val_dir[16242*3 + 0] = -0.179355f;	val_dir[16242*3 + 1] = 0.976491f;	val_dir[16242*3 + 2] = -0.119570f;
 	val_dir[16243*3 + 0] = -0.156893f;	val_dir[16243*3 + 1] = 0.980581f;	val_dir[16243*3 + 2] = -0.117670f;
 	val_dir[16244*3 + 0] = -0.135066f;	val_dir[16244*3 + 1] = 0.984050f;	val_dir[16244*3 + 2] = -0.115771f;
 	val_dir[16245*3 + 0] = -0.113878f;	val_dir[16245*3 + 1] = 0.986947f;	val_dir[16245*3 + 2] = -0.113878f;
 	val_dir[16246*3 + 0] = -0.093332f;	val_dir[16246*3 + 1] = 0.989316f;	val_dir[16246*3 + 2] = -0.111998f;
 	val_dir[16247*3 + 0] = -0.073422f;	val_dir[16247*3 + 1] = 0.991201f;	val_dir[16247*3 + 2] = -0.110133f;
 	val_dir[16248*3 + 0] = -0.054144f;	val_dir[16248*3 + 1] = 0.992644f;	val_dir[16248*3 + 2] = -0.108288f;
 	val_dir[16249*3 + 0] = -0.035489f;	val_dir[16249*3 + 1] = 0.993683f;	val_dir[16249*3 + 2] = -0.106466f;
 	val_dir[16250*3 + 0] = -0.017445f;	val_dir[16250*3 + 1] = 0.994354f;	val_dir[16250*3 + 2] = -0.104669f;
 	val_dir[16251*3 + 0] = 0.0f;	val_dir[16251*3 + 1] = 0.994692f;	val_dir[16251*3 + 2] = -0.102899f;
 	val_dir[16252*3 + 0] = 0.016908f;	val_dir[16252*3 + 1] = 0.997567f;	val_dir[16252*3 + 2] = -0.067632f;
 	val_dir[16253*3 + 0] = 0.033296f;	val_dir[16253*3 + 1] = 0.998891f;	val_dir[16253*3 + 2] = -0.033296f;
 	val_dir[16254*3 + 0] = 0.049121f;	val_dir[16254*3 + 1] = 0.998793f;	val_dir[16254*3 + 2] = 0.0f;
 	val_dir[16255*3 + 0] = -0.999329f;	val_dir[16255*3 + 1] = -0.032765f;	val_dir[16255*3 + 2] = -0.016382f;
 	val_dir[16256*3 + 0] = -0.998614f;	val_dir[16256*3 + 1] = -0.016644f;	val_dir[16256*3 + 2] = -0.049931f;
 	val_dir[16257*3 + 0] = -0.996428f;	val_dir[16257*3 + 1] = 0.0f;	val_dir[16257*3 + 2] = -0.084443f;
 	val_dir[16258*3 + 0] = -0.996158f;	val_dir[16258*3 + 1] = 0.017175f;	val_dir[16258*3 + 2] = -0.085876f;
 	val_dir[16259*3 + 0] = -0.995567f;	val_dir[16259*3 + 1] = 0.034932f;	val_dir[16259*3 + 2] = -0.087330f;
 	val_dir[16260*3 + 0] = -0.994623f;	val_dir[16260*3 + 1] = 0.053283f;	val_dir[16260*3 + 2] = -0.088806f;
 	val_dir[16261*3 + 0] = -0.993291f;	val_dir[16261*3 + 1] = 0.072239f;	val_dir[16261*3 + 2] = -0.090299f;
 	val_dir[16262*3 + 0] = -0.991535f;	val_dir[16262*3 + 1] = 0.091809f;	val_dir[16262*3 + 2] = -0.091809f;
 	val_dir[16263*3 + 0] = -0.989316f;	val_dir[16263*3 + 1] = 0.111998f;	val_dir[16263*3 + 2] = -0.093332f;
 	val_dir[16264*3 + 0] = -0.986591f;	val_dir[16264*3 + 1] = 0.132810f;	val_dir[16264*3 + 2] = -0.094865f;
 	val_dir[16265*3 + 0] = -0.983318f;	val_dir[16265*3 + 1] = 0.154246f;	val_dir[16265*3 + 2] = -0.096404f;
 	val_dir[16266*3 + 0] = -0.979451f;	val_dir[16266*3 + 1] = 0.176301f;	val_dir[16266*3 + 2] = -0.097945f;
 	val_dir[16267*3 + 0] = -0.974943f;	val_dir[16267*3 + 1] = 0.198968f;	val_dir[16267*3 + 2] = -0.099484f;
 	val_dir[16268*3 + 0] = -0.969746f;	val_dir[16268*3 + 1] = 0.222234f;	val_dir[16268*3 + 2] = -0.101015f;
 	val_dir[16269*3 + 0] = -0.963811f;	val_dir[16269*3 + 1] = 0.246079f;	val_dir[16269*3 + 2] = -0.102533f;
 	val_dir[16270*3 + 0] = -0.957088f;	val_dir[16270*3 + 1] = 0.270481f;	val_dir[16270*3 + 2] = -0.104031f;
 	val_dir[16271*3 + 0] = -0.949528f;	val_dir[16271*3 + 1] = 0.295409f;	val_dir[16271*3 + 2] = -0.105503f;
 	val_dir[16272*3 + 0] = -0.941082f;	val_dir[16272*3 + 1] = 0.320824f;	val_dir[16272*3 + 2] = -0.106941f;
 	val_dir[16273*3 + 0] = -0.931705f;	val_dir[16273*3 + 1] = 0.346681f;	val_dir[16273*3 + 2] = -0.108338f;
 	val_dir[16274*3 + 0] = -0.921354f;	val_dir[16274*3 + 1] = 0.372929f;	val_dir[16274*3 + 2] = -0.109685f;
 	val_dir[16275*3 + 0] = -0.909988f;	val_dir[16275*3 + 1] = 0.399507f;	val_dir[16275*3 + 2] = -0.110974f;
 	val_dir[16276*3 + 0] = -0.897574f;	val_dir[16276*3 + 1] = 0.426348f;	val_dir[16276*3 + 2] = -0.112197f;
 	val_dir[16277*3 + 0] = -0.884083f;	val_dir[16277*3 + 1] = 0.453376f;	val_dir[16277*3 + 2] = -0.113344f;
 	val_dir[16278*3 + 0] = -0.869495f;	val_dir[16278*3 + 1] = 0.480510f;	val_dir[16278*3 + 2] = -0.114407f;
 	val_dir[16279*3 + 0] = -0.853796f;	val_dir[16279*3 + 1] = 0.507662f;	val_dir[16279*3 + 2] = -0.115378f;
 	val_dir[16280*3 + 0] = -0.836983f;	val_dir[16280*3 + 1] = 0.534739f;	val_dir[16280*3 + 2] = -0.116248f;
 	val_dir[16281*3 + 0] = -0.819064f;	val_dir[16281*3 + 1] = 0.561644f;	val_dir[16281*3 + 2] = -0.117009f;
 	val_dir[16282*3 + 0] = -0.800055f;	val_dir[16282*3 + 1] = 0.588276f;	val_dir[16282*3 + 2] = -0.117655f;
 	val_dir[16283*3 + 0] = -0.779987f;	val_dir[16283*3 + 1] = 0.614535f;	val_dir[16283*3 + 2] = -0.118180f;
 	val_dir[16284*3 + 0] = -0.758899f;	val_dir[16284*3 + 1] = 0.640321f;	val_dir[16284*3 + 2] = -0.118578f;
 	val_dir[16285*3 + 0] = -0.736843f;	val_dir[16285*3 + 1] = 0.665536f;	val_dir[16285*3 + 2] = -0.118846f;
 	val_dir[16286*3 + 0] = -0.713881f;	val_dir[16286*3 + 1] = 0.690085f;	val_dir[16286*3 + 2] = -0.118980f;
 	val_dir[16287*3 + 0] = -0.690085f;	val_dir[16287*3 + 1] = 0.713881f;	val_dir[16287*3 + 2] = -0.118980f;
 	val_dir[16288*3 + 0] = -0.665536f;	val_dir[16288*3 + 1] = 0.736843f;	val_dir[16288*3 + 2] = -0.118846f;
 	val_dir[16289*3 + 0] = -0.640321f;	val_dir[16289*3 + 1] = 0.758899f;	val_dir[16289*3 + 2] = -0.118578f;
 	val_dir[16290*3 + 0] = -0.614535f;	val_dir[16290*3 + 1] = 0.779987f;	val_dir[16290*3 + 2] = -0.118180f;
 	val_dir[16291*3 + 0] = -0.588276f;	val_dir[16291*3 + 1] = 0.800055f;	val_dir[16291*3 + 2] = -0.117655f;
 	val_dir[16292*3 + 0] = -0.561644f;	val_dir[16292*3 + 1] = 0.819064f;	val_dir[16292*3 + 2] = -0.117009f;
 	val_dir[16293*3 + 0] = -0.534739f;	val_dir[16293*3 + 1] = 0.836983f;	val_dir[16293*3 + 2] = -0.116248f;
 	val_dir[16294*3 + 0] = -0.507662f;	val_dir[16294*3 + 1] = 0.853796f;	val_dir[16294*3 + 2] = -0.115378f;
 	val_dir[16295*3 + 0] = -0.480510f;	val_dir[16295*3 + 1] = 0.869495f;	val_dir[16295*3 + 2] = -0.114407f;
 	val_dir[16296*3 + 0] = -0.453376f;	val_dir[16296*3 + 1] = 0.884083f;	val_dir[16296*3 + 2] = -0.113344f;
 	val_dir[16297*3 + 0] = -0.426348f;	val_dir[16297*3 + 1] = 0.897574f;	val_dir[16297*3 + 2] = -0.112197f;
 	val_dir[16298*3 + 0] = -0.399507f;	val_dir[16298*3 + 1] = 0.909988f;	val_dir[16298*3 + 2] = -0.110974f;
 	val_dir[16299*3 + 0] = -0.372929f;	val_dir[16299*3 + 1] = 0.921354f;	val_dir[16299*3 + 2] = -0.109685f;
 	val_dir[16300*3 + 0] = -0.346681f;	val_dir[16300*3 + 1] = 0.931705f;	val_dir[16300*3 + 2] = -0.108338f;
 	val_dir[16301*3 + 0] = -0.320824f;	val_dir[16301*3 + 1] = 0.941082f;	val_dir[16301*3 + 2] = -0.106941f;
 	val_dir[16302*3 + 0] = -0.295409f;	val_dir[16302*3 + 1] = 0.949528f;	val_dir[16302*3 + 2] = -0.105503f;
 	val_dir[16303*3 + 0] = -0.270481f;	val_dir[16303*3 + 1] = 0.957088f;	val_dir[16303*3 + 2] = -0.104031f;
 	val_dir[16304*3 + 0] = -0.246079f;	val_dir[16304*3 + 1] = 0.963811f;	val_dir[16304*3 + 2] = -0.102533f;
 	val_dir[16305*3 + 0] = -0.222234f;	val_dir[16305*3 + 1] = 0.969746f;	val_dir[16305*3 + 2] = -0.101015f;
 	val_dir[16306*3 + 0] = -0.198968f;	val_dir[16306*3 + 1] = 0.974943f;	val_dir[16306*3 + 2] = -0.099484f;
 	val_dir[16307*3 + 0] = -0.176301f;	val_dir[16307*3 + 1] = 0.979451f;	val_dir[16307*3 + 2] = -0.097945f;
 	val_dir[16308*3 + 0] = -0.154246f;	val_dir[16308*3 + 1] = 0.983318f;	val_dir[16308*3 + 2] = -0.096404f;
 	val_dir[16309*3 + 0] = -0.132810f;	val_dir[16309*3 + 1] = 0.986591f;	val_dir[16309*3 + 2] = -0.094865f;
 	val_dir[16310*3 + 0] = -0.111998f;	val_dir[16310*3 + 1] = 0.989316f;	val_dir[16310*3 + 2] = -0.093332f;
 	val_dir[16311*3 + 0] = -0.091809f;	val_dir[16311*3 + 1] = 0.991535f;	val_dir[16311*3 + 2] = -0.091809f;
 	val_dir[16312*3 + 0] = -0.072239f;	val_dir[16312*3 + 1] = 0.993291f;	val_dir[16312*3 + 2] = -0.090299f;
 	val_dir[16313*3 + 0] = -0.053283f;	val_dir[16313*3 + 1] = 0.994623f;	val_dir[16313*3 + 2] = -0.088806f;
 	val_dir[16314*3 + 0] = -0.034932f;	val_dir[16314*3 + 1] = 0.995567f;	val_dir[16314*3 + 2] = -0.087330f;
 	val_dir[16315*3 + 0] = -0.017175f;	val_dir[16315*3 + 1] = 0.996158f;	val_dir[16315*3 + 2] = -0.085876f;
 	val_dir[16316*3 + 0] = 0.0f;	val_dir[16316*3 + 1] = 0.996428f;	val_dir[16316*3 + 2] = -0.084443f;
 	val_dir[16317*3 + 0] = 0.016644f;	val_dir[16317*3 + 1] = 0.998614f;	val_dir[16317*3 + 2] = -0.049931f;
 	val_dir[16318*3 + 0] = 0.032765f;	val_dir[16318*3 + 1] = 0.999329f;	val_dir[16318*3 + 2] = -0.016382f;
 	val_dir[16319*3 + 0] = -0.999480f;	val_dir[16319*3 + 1] = -0.032241f;	val_dir[16319*3 + 2] = 0.0f;
 	val_dir[16320*3 + 0] = -0.999329f;	val_dir[16320*3 + 1] = -0.016382f;	val_dir[16320*3 + 2] = -0.032765f;
 	val_dir[16321*3 + 0] = -0.997785f;	val_dir[16321*3 + 1] = 0.0f;	val_dir[16321*3 + 2] = -0.066519f;
 	val_dir[16322*3 + 0] = -0.997567f;	val_dir[16322*3 + 1] = 0.016908f;	val_dir[16322*3 + 2] = -0.067632f;
 	val_dir[16323*3 + 0] = -0.997041f;	val_dir[16323*3 + 1] = 0.034381f;	val_dir[16323*3 + 2] = -0.068761f;
 	val_dir[16324*3 + 0] = -0.996175f;	val_dir[16324*3 + 1] = 0.052430f;	val_dir[16324*3 + 2] = -0.069907f;
 	val_dir[16325*3 + 0] = -0.994937f;	val_dir[16325*3 + 1] = 0.071067f;	val_dir[16325*3 + 2] = -0.071067f;
 	val_dir[16326*3 + 0] = -0.993291f;	val_dir[16326*3 + 1] = 0.090299f;	val_dir[16326*3 + 2] = -0.072239f;
 	val_dir[16327*3 + 0] = -0.991201f;	val_dir[16327*3 + 1] = 0.110133f;	val_dir[16327*3 + 2] = -0.073422f;
 	val_dir[16328*3 + 0] = -0.988627f;	val_dir[16328*3 + 1] = 0.130573f;	val_dir[16328*3 + 2] = -0.074613f;
 	val_dir[16329*3 + 0] = -0.985527f;	val_dir[16329*3 + 1] = 0.151620f;	val_dir[16329*3 + 2] = -0.075810f;
 	val_dir[16330*3 + 0] = -0.981859f;	val_dir[16330*3 + 1] = 0.173269f;	val_dir[16330*3 + 2] = -0.077009f;
 	val_dir[16331*3 + 0] = -0.977577f;	val_dir[16331*3 + 1] = 0.195515f;	val_dir[16331*3 + 2] = -0.078206f;
 	val_dir[16332*3 + 0] = -0.972636f;	val_dir[16332*3 + 1] = 0.218347f;	val_dir[16332*3 + 2] = -0.079399f;
 	val_dir[16333*3 + 0] = -0.966988f;	val_dir[16333*3 + 1] = 0.241747f;	val_dir[16333*3 + 2] = -0.080582f;
 	val_dir[16334*3 + 0] = -0.960585f;	val_dir[16334*3 + 1] = 0.265694f;	val_dir[16334*3 + 2] = -0.081752f;
 	val_dir[16335*3 + 0] = -0.953381f;	val_dir[16335*3 + 1] = 0.290159f;	val_dir[16335*3 + 2] = -0.082903f;
 	val_dir[16336*3 + 0] = -0.945328f;	val_dir[16336*3 + 1] = 0.315109f;	val_dir[16336*3 + 2] = -0.084029f;
 	val_dir[16337*3 + 0] = -0.936382f;	val_dir[16337*3 + 1] = 0.340503f;	val_dir[16337*3 + 2] = -0.085126f;
 	val_dir[16338*3 + 0] = -0.92650f;	val_dir[16338*3 + 1] = 0.366291f;	val_dir[16338*3 + 2] = -0.086186f;
 	val_dir[16339*3 + 0] = -0.915644f;	val_dir[16339*3 + 1] = 0.392419f;	val_dir[16339*3 + 2] = -0.087204f;
 	val_dir[16340*3 + 0] = -0.903777f;	val_dir[16340*3 + 1] = 0.418823f;	val_dir[16340*3 + 2] = -0.088173f;
 	val_dir[16341*3 + 0] = -0.890871f;	val_dir[16341*3 + 1] = 0.445435f;	val_dir[16341*3 + 2] = -0.089087f;
 	val_dir[16342*3 + 0] = -0.876903f;	val_dir[16342*3 + 1] = 0.472178f;	val_dir[16342*3 + 2] = -0.089939f;
 	val_dir[16343*3 + 0] = -0.861857f;	val_dir[16343*3 + 1] = 0.498970f;	val_dir[16343*3 + 2] = -0.090722f;
 	val_dir[16344*3 + 0] = -0.845728f;	val_dir[16344*3 + 1] = 0.525723f;	val_dir[16344*3 + 2] = -0.091430f;
 	val_dir[16345*3 + 0] = -0.828517f;	val_dir[16345*3 + 1] = 0.552345f;	val_dir[16345*3 + 2] = -0.092057f;
 	val_dir[16346*3 + 0] = -0.810237f;	val_dir[16346*3 + 1] = 0.578741f;	val_dir[16346*3 + 2] = -0.092599f;
 	val_dir[16347*3 + 0] = -0.790912f;	val_dir[16347*3 + 1] = 0.604815f;	val_dir[16347*3 + 2] = -0.093048f;
 	val_dir[16348*3 + 0] = -0.770574f;	val_dir[16348*3 + 1] = 0.630470f;	val_dir[16348*3 + 2] = -0.093403f;
 	val_dir[16349*3 + 0] = -0.749269f;	val_dir[16349*3 + 1] = 0.655610f;	val_dir[16349*3 + 2] = -0.093659f;
 	val_dir[16350*3 + 0] = -0.727051f;	val_dir[16350*3 + 1] = 0.680144f;	val_dir[16350*3 + 2] = -0.093813f;
 	val_dir[16351*3 + 0] = -0.703985f;	val_dir[16351*3 + 1] = 0.703985f;	val_dir[16351*3 + 2] = -0.093865f;
 	val_dir[16352*3 + 0] = -0.680144f;	val_dir[16352*3 + 1] = 0.727051f;	val_dir[16352*3 + 2] = -0.093813f;
 	val_dir[16353*3 + 0] = -0.655610f;	val_dir[16353*3 + 1] = 0.749269f;	val_dir[16353*3 + 2] = -0.093659f;
 	val_dir[16354*3 + 0] = -0.630470f;	val_dir[16354*3 + 1] = 0.770574f;	val_dir[16354*3 + 2] = -0.093403f;
 	val_dir[16355*3 + 0] = -0.604815f;	val_dir[16355*3 + 1] = 0.790912f;	val_dir[16355*3 + 2] = -0.093048f;
 	val_dir[16356*3 + 0] = -0.578741f;	val_dir[16356*3 + 1] = 0.810237f;	val_dir[16356*3 + 2] = -0.092599f;
 	val_dir[16357*3 + 0] = -0.552345f;	val_dir[16357*3 + 1] = 0.828517f;	val_dir[16357*3 + 2] = -0.092057f;
 	val_dir[16358*3 + 0] = -0.525723f;	val_dir[16358*3 + 1] = 0.845728f;	val_dir[16358*3 + 2] = -0.091430f;
 	val_dir[16359*3 + 0] = -0.498970f;	val_dir[16359*3 + 1] = 0.861857f;	val_dir[16359*3 + 2] = -0.090722f;
 	val_dir[16360*3 + 0] = -0.472178f;	val_dir[16360*3 + 1] = 0.876903f;	val_dir[16360*3 + 2] = -0.089939f;
 	val_dir[16361*3 + 0] = -0.445435f;	val_dir[16361*3 + 1] = 0.890871f;	val_dir[16361*3 + 2] = -0.089087f;
 	val_dir[16362*3 + 0] = -0.418823f;	val_dir[16362*3 + 1] = 0.903777f;	val_dir[16362*3 + 2] = -0.088173f;
 	val_dir[16363*3 + 0] = -0.392419f;	val_dir[16363*3 + 1] = 0.915644f;	val_dir[16363*3 + 2] = -0.087204f;
 	val_dir[16364*3 + 0] = -0.366291f;	val_dir[16364*3 + 1] = 0.92650f;	val_dir[16364*3 + 2] = -0.086186f;
 	val_dir[16365*3 + 0] = -0.340503f;	val_dir[16365*3 + 1] = 0.936382f;	val_dir[16365*3 + 2] = -0.085126f;
 	val_dir[16366*3 + 0] = -0.315109f;	val_dir[16366*3 + 1] = 0.945328f;	val_dir[16366*3 + 2] = -0.084029f;
 	val_dir[16367*3 + 0] = -0.290159f;	val_dir[16367*3 + 1] = 0.953381f;	val_dir[16367*3 + 2] = -0.082903f;
 	val_dir[16368*3 + 0] = -0.265694f;	val_dir[16368*3 + 1] = 0.960585f;	val_dir[16368*3 + 2] = -0.081752f;
 	val_dir[16369*3 + 0] = -0.241747f;	val_dir[16369*3 + 1] = 0.966988f;	val_dir[16369*3 + 2] = -0.080582f;
 	val_dir[16370*3 + 0] = -0.218347f;	val_dir[16370*3 + 1] = 0.972636f;	val_dir[16370*3 + 2] = -0.079399f;
 	val_dir[16371*3 + 0] = -0.195515f;	val_dir[16371*3 + 1] = 0.977577f;	val_dir[16371*3 + 2] = -0.078206f;
 	val_dir[16372*3 + 0] = -0.173269f;	val_dir[16372*3 + 1] = 0.981859f;	val_dir[16372*3 + 2] = -0.077009f;
 	val_dir[16373*3 + 0] = -0.151620f;	val_dir[16373*3 + 1] = 0.985527f;	val_dir[16373*3 + 2] = -0.075810f;
 	val_dir[16374*3 + 0] = -0.130573f;	val_dir[16374*3 + 1] = 0.988627f;	val_dir[16374*3 + 2] = -0.074613f;
 	val_dir[16375*3 + 0] = -0.110133f;	val_dir[16375*3 + 1] = 0.991201f;	val_dir[16375*3 + 2] = -0.073422f;
 	val_dir[16376*3 + 0] = -0.090299f;	val_dir[16376*3 + 1] = 0.993291f;	val_dir[16376*3 + 2] = -0.072239f;
 	val_dir[16377*3 + 0] = -0.071067f;	val_dir[16377*3 + 1] = 0.994937f;	val_dir[16377*3 + 2] = -0.071067f;
 	val_dir[16378*3 + 0] = -0.052430f;	val_dir[16378*3 + 1] = 0.996175f;	val_dir[16378*3 + 2] = -0.069907f;
 	val_dir[16379*3 + 0] = -0.034381f;	val_dir[16379*3 + 1] = 0.997041f;	val_dir[16379*3 + 2] = -0.068761f;
 	val_dir[16380*3 + 0] = -0.016908f;	val_dir[16380*3 + 1] = 0.997567f;	val_dir[16380*3 + 2] = -0.067632f;
 	val_dir[16381*3 + 0] = 0.0f;	val_dir[16381*3 + 1] = 0.997785f;	val_dir[16381*3 + 2] = -0.066519f;
 	val_dir[16382*3 + 0] = 0.016382f;	val_dir[16382*3 + 1] = 0.999329f;	val_dir[16382*3 + 2] = -0.032765f;
 	val_dir[16383*3 + 0] = 0.032241f;	val_dir[16383*3 + 1] = 0.999480f;	val_dir[16383*3 + 2] = 0.0f;
 	val_dir[16384*3 + 0] = -0.999740f;	val_dir[16384*3 + 1] = -0.016125f;	val_dir[16384*3 + 2] = -0.016125f;
 	val_dir[16385*3 + 0] = -0.998793f;	val_dir[16385*3 + 1] = 0.0f;	val_dir[16385*3 + 2] = -0.049121f;
 	val_dir[16386*3 + 0] = -0.998614f;	val_dir[16386*3 + 1] = 0.016644f;	val_dir[16386*3 + 2] = -0.049931f;
 	val_dir[16387*3 + 0] = -0.998138f;	val_dir[16387*3 + 1] = 0.033835f;	val_dir[16387*3 + 2] = -0.050753f;
 	val_dir[16388*3 + 0] = -0.997335f;	val_dir[16388*3 + 1] = 0.051586f;	val_dir[16388*3 + 2] = -0.051586f;
 	val_dir[16389*3 + 0] = -0.996175f;	val_dir[16389*3 + 1] = 0.069907f;	val_dir[16389*3 + 2] = -0.052430f;
 	val_dir[16390*3 + 0] = -0.994623f;	val_dir[16390*3 + 1] = 0.088806f;	val_dir[16390*3 + 2] = -0.053283f;
 	val_dir[16391*3 + 0] = -0.992644f;	val_dir[16391*3 + 1] = 0.108288f;	val_dir[16391*3 + 2] = -0.054144f;
 	val_dir[16392*3 + 0] = -0.990201f;	val_dir[16392*3 + 1] = 0.128359f;	val_dir[16392*3 + 2] = -0.055011f;
 	val_dir[16393*3 + 0] = -0.987254f;	val_dir[16393*3 + 1] = 0.149019f;	val_dir[16393*3 + 2] = -0.055882f;
 	val_dir[16394*3 + 0] = -0.983762f;	val_dir[16394*3 + 1] = 0.170267f;	val_dir[16394*3 + 2] = -0.056756f;
 	val_dir[16395*3 + 0] = -0.979683f;	val_dir[16395*3 + 1] = 0.192095f;	val_dir[16395*3 + 2] = -0.057628f;
 	val_dir[16396*3 + 0] = -0.974972f;	val_dir[16396*3 + 1] = 0.214494f;	val_dir[16396*3 + 2] = -0.058498f;
 	val_dir[16397*3 + 0] = -0.969584f;	val_dir[16397*3 + 1] = 0.237449f;	val_dir[16397*3 + 2] = -0.059362f;
 	val_dir[16398*3 + 0] = -0.963475f;	val_dir[16398*3 + 1] = 0.260941f;	val_dir[16398*3 + 2] = -0.060217f;
 	val_dir[16399*3 + 0] = -0.956597f;	val_dir[16399*3 + 1] = 0.284944f;	val_dir[16399*3 + 2] = -0.061059f;
 	val_dir[16400*3 + 0] = -0.948908f;	val_dir[16400*3 + 1] = 0.309426f;	val_dir[16400*3 + 2] = -0.061885f;
 	val_dir[16401*3 + 0] = -0.940361f;	val_dir[16401*3 + 1] = 0.334351f;	val_dir[16401*3 + 2] = -0.062691f;
 	val_dir[16402*3 + 0] = -0.930917f;	val_dir[16402*3 + 1] = 0.359673f;	val_dir[16402*3 + 2] = -0.063472f;
 	val_dir[16403*3 + 0] = -0.920537f;	val_dir[16403*3 + 1] = 0.385341f;	val_dir[16403*3 + 2] = -0.064223f;
 	val_dir[16404*3 + 0] = -0.909185f;	val_dir[16404*3 + 1] = 0.411298f;	val_dir[16404*3 + 2] = -0.064942f;
 	val_dir[16405*3 + 0] = -0.896831f;	val_dir[16405*3 + 1] = 0.437479f;	val_dir[16405*3 + 2] = -0.065622f;
 	val_dir[16406*3 + 0] = -0.883452f;	val_dir[16406*3 + 1] = 0.463812f;	val_dir[16406*3 + 2] = -0.066259f;
 	val_dir[16407*3 + 0] = -0.869030f;	val_dir[16407*3 + 1] = 0.490222f;	val_dir[16407*3 + 2] = -0.066848f;
 	val_dir[16408*3 + 0] = -0.853556f;	val_dir[16408*3 + 1] = 0.516626f;	val_dir[16408*3 + 2] = -0.067386f;
 	val_dir[16409*3 + 0] = -0.837027f;	val_dir[16409*3 + 1] = 0.542936f;	val_dir[16409*3 + 2] = -0.067867f;
 	val_dir[16410*3 + 0] = -0.819453f;	val_dir[16410*3 + 1] = 0.569064f;	val_dir[16410*3 + 2] = -0.068288f;
 	val_dir[16411*3 + 0] = -0.800850f;	val_dir[16411*3 + 1] = 0.594917f;	val_dir[16411*3 + 2] = -0.068644f;
 	val_dir[16412*3 + 0] = -0.781248f;	val_dir[16412*3 + 1] = 0.620403f;	val_dir[16412*3 + 2] = -0.068934f;
 	val_dir[16413*3 + 0] = -0.760684f;	val_dir[16413*3 + 1] = 0.645429f;	val_dir[16413*3 + 2] = -0.069153f;
 	val_dir[16414*3 + 0] = -0.739205f;	val_dir[16414*3 + 1] = 0.669905f;	val_dir[16414*3 + 2] = -0.069301f;
 	val_dir[16415*3 + 0] = -0.716871f;	val_dir[16415*3 + 1] = 0.693746f;	val_dir[16415*3 + 2] = -0.069375f;
 	val_dir[16416*3 + 0] = -0.693746f;	val_dir[16416*3 + 1] = 0.716871f;	val_dir[16416*3 + 2] = -0.069375f;
 	val_dir[16417*3 + 0] = -0.669905f;	val_dir[16417*3 + 1] = 0.739205f;	val_dir[16417*3 + 2] = -0.069301f;
 	val_dir[16418*3 + 0] = -0.645429f;	val_dir[16418*3 + 1] = 0.760684f;	val_dir[16418*3 + 2] = -0.069153f;
 	val_dir[16419*3 + 0] = -0.620403f;	val_dir[16419*3 + 1] = 0.781248f;	val_dir[16419*3 + 2] = -0.068934f;
 	val_dir[16420*3 + 0] = -0.594917f;	val_dir[16420*3 + 1] = 0.800850f;	val_dir[16420*3 + 2] = -0.068644f;
 	val_dir[16421*3 + 0] = -0.569064f;	val_dir[16421*3 + 1] = 0.819453f;	val_dir[16421*3 + 2] = -0.068288f;
 	val_dir[16422*3 + 0] = -0.542936f;	val_dir[16422*3 + 1] = 0.837027f;	val_dir[16422*3 + 2] = -0.067867f;
 	val_dir[16423*3 + 0] = -0.516626f;	val_dir[16423*3 + 1] = 0.853556f;	val_dir[16423*3 + 2] = -0.067386f;
 	val_dir[16424*3 + 0] = -0.490222f;	val_dir[16424*3 + 1] = 0.869030f;	val_dir[16424*3 + 2] = -0.066848f;
 	val_dir[16425*3 + 0] = -0.463812f;	val_dir[16425*3 + 1] = 0.883452f;	val_dir[16425*3 + 2] = -0.066259f;
 	val_dir[16426*3 + 0] = -0.437479f;	val_dir[16426*3 + 1] = 0.896831f;	val_dir[16426*3 + 2] = -0.065622f;
 	val_dir[16427*3 + 0] = -0.411298f;	val_dir[16427*3 + 1] = 0.909185f;	val_dir[16427*3 + 2] = -0.064942f;
 	val_dir[16428*3 + 0] = -0.385341f;	val_dir[16428*3 + 1] = 0.920537f;	val_dir[16428*3 + 2] = -0.064223f;
 	val_dir[16429*3 + 0] = -0.359673f;	val_dir[16429*3 + 1] = 0.930917f;	val_dir[16429*3 + 2] = -0.063472f;
 	val_dir[16430*3 + 0] = -0.334351f;	val_dir[16430*3 + 1] = 0.940361f;	val_dir[16430*3 + 2] = -0.062691f;
 	val_dir[16431*3 + 0] = -0.309426f;	val_dir[16431*3 + 1] = 0.948908f;	val_dir[16431*3 + 2] = -0.061885f;
 	val_dir[16432*3 + 0] = -0.284944f;	val_dir[16432*3 + 1] = 0.956597f;	val_dir[16432*3 + 2] = -0.061059f;
 	val_dir[16433*3 + 0] = -0.260941f;	val_dir[16433*3 + 1] = 0.963475f;	val_dir[16433*3 + 2] = -0.060217f;
 	val_dir[16434*3 + 0] = -0.237449f;	val_dir[16434*3 + 1] = 0.969584f;	val_dir[16434*3 + 2] = -0.059362f;
 	val_dir[16435*3 + 0] = -0.214494f;	val_dir[16435*3 + 1] = 0.974972f;	val_dir[16435*3 + 2] = -0.058498f;
 	val_dir[16436*3 + 0] = -0.192095f;	val_dir[16436*3 + 1] = 0.979683f;	val_dir[16436*3 + 2] = -0.057628f;
 	val_dir[16437*3 + 0] = -0.170267f;	val_dir[16437*3 + 1] = 0.983762f;	val_dir[16437*3 + 2] = -0.056756f;
 	val_dir[16438*3 + 0] = -0.149019f;	val_dir[16438*3 + 1] = 0.987254f;	val_dir[16438*3 + 2] = -0.055882f;
 	val_dir[16439*3 + 0] = -0.128359f;	val_dir[16439*3 + 1] = 0.990201f;	val_dir[16439*3 + 2] = -0.055011f;
 	val_dir[16440*3 + 0] = -0.108288f;	val_dir[16440*3 + 1] = 0.992644f;	val_dir[16440*3 + 2] = -0.054144f;
 	val_dir[16441*3 + 0] = -0.088806f;	val_dir[16441*3 + 1] = 0.994623f;	val_dir[16441*3 + 2] = -0.053283f;
 	val_dir[16442*3 + 0] = -0.069907f;	val_dir[16442*3 + 1] = 0.996175f;	val_dir[16442*3 + 2] = -0.052430f;
 	val_dir[16443*3 + 0] = -0.051586f;	val_dir[16443*3 + 1] = 0.997335f;	val_dir[16443*3 + 2] = -0.051586f;
 	val_dir[16444*3 + 0] = -0.033835f;	val_dir[16444*3 + 1] = 0.998138f;	val_dir[16444*3 + 2] = -0.050753f;
 	val_dir[16445*3 + 0] = -0.016644f;	val_dir[16445*3 + 1] = 0.998614f;	val_dir[16445*3 + 2] = -0.049931f;
 	val_dir[16446*3 + 0] = 0.0f;	val_dir[16446*3 + 1] = 0.998793f;	val_dir[16446*3 + 2] = -0.049121f;
 	val_dir[16447*3 + 0] = 0.016125f;	val_dir[16447*3 + 1] = 0.999740f;	val_dir[16447*3 + 2] = -0.016125f;
 	val_dir[16448*3 + 0] = -0.999874f;	val_dir[16448*3 + 1] = -0.015871f;	val_dir[16448*3 + 2] = 0.0f;
 	val_dir[16449*3 + 0] = -0.999480f;	val_dir[16449*3 + 1] = 0.0f;	val_dir[16449*3 + 2] = -0.032241f;
 	val_dir[16450*3 + 0] = -0.999329f;	val_dir[16450*3 + 1] = 0.016382f;	val_dir[16450*3 + 2] = -0.032765f;
 	val_dir[16451*3 + 0] = -0.998891f;	val_dir[16451*3 + 1] = 0.033296f;	val_dir[16451*3 + 2] = -0.033296f;
 	val_dir[16452*3 + 0] = -0.998138f;	val_dir[16452*3 + 1] = 0.050753f;	val_dir[16452*3 + 2] = -0.033835f;
 	val_dir[16453*3 + 0] = -0.997041f;	val_dir[16453*3 + 1] = 0.068761f;	val_dir[16453*3 + 2] = -0.034381f;
 	val_dir[16454*3 + 0] = -0.995567f;	val_dir[16454*3 + 1] = 0.087330f;	val_dir[16454*3 + 2] = -0.034932f;
 	val_dir[16455*3 + 0] = -0.993683f;	val_dir[16455*3 + 1] = 0.106466f;	val_dir[16455*3 + 2] = -0.035489f;
 	val_dir[16456*3 + 0] = -0.991353f;	val_dir[16456*3 + 1] = 0.126172f;	val_dir[16456*3 + 2] = -0.036049f;
 	val_dir[16457*3 + 0] = -0.988540f;	val_dir[16457*3 + 1] = 0.146450f;	val_dir[16457*3 + 2] = -0.036613f;
 	val_dir[16458*3 + 0] = -0.985205f;	val_dir[16458*3 + 1] = 0.167299f;	val_dir[16458*3 + 2] = -0.037178f;
 	val_dir[16459*3 + 0] = -0.981307f;	val_dir[16459*3 + 1] = 0.188713f;	val_dir[16459*3 + 2] = -0.037743f;
 	val_dir[16460*3 + 0] = -0.976804f;	val_dir[16460*3 + 1] = 0.210683f;	val_dir[16460*3 + 2] = -0.038306f;
 	val_dir[16461*3 + 0] = -0.971653f;	val_dir[16461*3 + 1] = 0.233197f;	val_dir[16461*3 + 2] = -0.038866f;
 	val_dir[16462*3 + 0] = -0.965810f;	val_dir[16462*3 + 1] = 0.256235f;	val_dir[16462*3 + 2] = -0.039421f;
 	val_dir[16463*3 + 0] = -0.959233f;	val_dir[16463*3 + 1] = 0.279776f;	val_dir[16463*3 + 2] = -0.039968f;
 	val_dir[16464*3 + 0] = -0.951877f;	val_dir[16464*3 + 1] = 0.303791f;	val_dir[16464*3 + 2] = -0.040505f;
 	val_dir[16465*3 + 0] = -0.943701f;	val_dir[16465*3 + 1] = 0.328244f;	val_dir[16465*3 + 2] = -0.041030f;
 	val_dir[16466*3 + 0] = -0.934665f;	val_dir[16466*3 + 1] = 0.353096f;	val_dir[16466*3 + 2] = -0.041541f;
 	val_dir[16467*3 + 0] = -0.924729f;	val_dir[16467*3 + 1] = 0.378298f;	val_dir[16467*3 + 2] = -0.042033f;
 	val_dir[16468*3 + 0] = -0.913860f;	val_dir[16468*3 + 1] = 0.403799f;	val_dir[16468*3 + 2] = -0.042505f;
 	val_dir[16469*3 + 0] = -0.902027f;	val_dir[16469*3 + 1] = 0.429537f;	val_dir[16469*3 + 2] = -0.042954f;
 	val_dir[16470*3 + 0] = -0.889206f;	val_dir[16470*3 + 1] = 0.455447f;	val_dir[16470*3 + 2] = -0.043376f;
 	val_dir[16471*3 + 0] = -0.875376f;	val_dir[16471*3 + 1] = 0.481457f;	val_dir[16471*3 + 2] = -0.043769f;
 	val_dir[16472*3 + 0] = -0.860527f;	val_dir[16472*3 + 1] = 0.507490f;	val_dir[16472*3 + 2] = -0.044130f;
 	val_dir[16473*3 + 0] = -0.844653f;	val_dir[16473*3 + 1] = 0.533465f;	val_dir[16473*3 + 2] = -0.044455f;
 	val_dir[16474*3 + 0] = -0.827759f;	val_dir[16474*3 + 1] = 0.559297f;	val_dir[16474*3 + 2] = -0.044744f;
 	val_dir[16475*3 + 0] = -0.809858f;	val_dir[16475*3 + 1] = 0.584898f;	val_dir[16475*3 + 2] = -0.044992f;
 	val_dir[16476*3 + 0] = -0.790973f;	val_dir[16476*3 + 1] = 0.610179f;	val_dir[16476*3 + 2] = -0.045198f;
 	val_dir[16477*3 + 0] = -0.771136f;	val_dir[16477*3 + 1] = 0.635053f;	val_dir[16477*3 + 2] = -0.045361f;
 	val_dir[16478*3 + 0] = -0.750388f;	val_dir[16478*3 + 1] = 0.659432f;	val_dir[16478*3 + 2] = -0.045478f;
 	val_dir[16479*3 + 0] = -0.728780f;	val_dir[16479*3 + 1] = 0.683231f;	val_dir[16479*3 + 2] = -0.045549f;
 	val_dir[16480*3 + 0] = -0.706372f;	val_dir[16480*3 + 1] = 0.706372f;	val_dir[16480*3 + 2] = -0.045572f;
 	val_dir[16481*3 + 0] = -0.683231f;	val_dir[16481*3 + 1] = 0.728780f;	val_dir[16481*3 + 2] = -0.045549f;
 	val_dir[16482*3 + 0] = -0.659432f;	val_dir[16482*3 + 1] = 0.750388f;	val_dir[16482*3 + 2] = -0.045478f;
 	val_dir[16483*3 + 0] = -0.635053f;	val_dir[16483*3 + 1] = 0.771136f;	val_dir[16483*3 + 2] = -0.045361f;
 	val_dir[16484*3 + 0] = -0.610179f;	val_dir[16484*3 + 1] = 0.790973f;	val_dir[16484*3 + 2] = -0.045198f;
 	val_dir[16485*3 + 0] = -0.584898f;	val_dir[16485*3 + 1] = 0.809858f;	val_dir[16485*3 + 2] = -0.044992f;
 	val_dir[16486*3 + 0] = -0.559297f;	val_dir[16486*3 + 1] = 0.827759f;	val_dir[16486*3 + 2] = -0.044744f;
 	val_dir[16487*3 + 0] = -0.533465f;	val_dir[16487*3 + 1] = 0.844653f;	val_dir[16487*3 + 2] = -0.044455f;
 	val_dir[16488*3 + 0] = -0.507490f;	val_dir[16488*3 + 1] = 0.860527f;	val_dir[16488*3 + 2] = -0.044130f;
 	val_dir[16489*3 + 0] = -0.481457f;	val_dir[16489*3 + 1] = 0.875376f;	val_dir[16489*3 + 2] = -0.043769f;
 	val_dir[16490*3 + 0] = -0.455447f;	val_dir[16490*3 + 1] = 0.889206f;	val_dir[16490*3 + 2] = -0.043376f;
 	val_dir[16491*3 + 0] = -0.429537f;	val_dir[16491*3 + 1] = 0.902027f;	val_dir[16491*3 + 2] = -0.042954f;
 	val_dir[16492*3 + 0] = -0.403799f;	val_dir[16492*3 + 1] = 0.913860f;	val_dir[16492*3 + 2] = -0.042505f;
 	val_dir[16493*3 + 0] = -0.378298f;	val_dir[16493*3 + 1] = 0.924729f;	val_dir[16493*3 + 2] = -0.042033f;
 	val_dir[16494*3 + 0] = -0.353096f;	val_dir[16494*3 + 1] = 0.934665f;	val_dir[16494*3 + 2] = -0.041541f;
 	val_dir[16495*3 + 0] = -0.328244f;	val_dir[16495*3 + 1] = 0.943701f;	val_dir[16495*3 + 2] = -0.041030f;
 	val_dir[16496*3 + 0] = -0.303791f;	val_dir[16496*3 + 1] = 0.951877f;	val_dir[16496*3 + 2] = -0.040505f;
 	val_dir[16497*3 + 0] = -0.279776f;	val_dir[16497*3 + 1] = 0.959233f;	val_dir[16497*3 + 2] = -0.039968f;
 	val_dir[16498*3 + 0] = -0.256235f;	val_dir[16498*3 + 1] = 0.965810f;	val_dir[16498*3 + 2] = -0.039421f;
 	val_dir[16499*3 + 0] = -0.233197f;	val_dir[16499*3 + 1] = 0.971653f;	val_dir[16499*3 + 2] = -0.038866f;
 	val_dir[16500*3 + 0] = -0.210683f;	val_dir[16500*3 + 1] = 0.976804f;	val_dir[16500*3 + 2] = -0.038306f;
 	val_dir[16501*3 + 0] = -0.188713f;	val_dir[16501*3 + 1] = 0.981307f;	val_dir[16501*3 + 2] = -0.037743f;
 	val_dir[16502*3 + 0] = -0.167299f;	val_dir[16502*3 + 1] = 0.985205f;	val_dir[16502*3 + 2] = -0.037178f;
 	val_dir[16503*3 + 0] = -0.146450f;	val_dir[16503*3 + 1] = 0.988540f;	val_dir[16503*3 + 2] = -0.036613f;
 	val_dir[16504*3 + 0] = -0.126172f;	val_dir[16504*3 + 1] = 0.991353f;	val_dir[16504*3 + 2] = -0.036049f;
 	val_dir[16505*3 + 0] = -0.106466f;	val_dir[16505*3 + 1] = 0.993683f;	val_dir[16505*3 + 2] = -0.035489f;
 	val_dir[16506*3 + 0] = -0.087330f;	val_dir[16506*3 + 1] = 0.995567f;	val_dir[16506*3 + 2] = -0.034932f;
 	val_dir[16507*3 + 0] = -0.068761f;	val_dir[16507*3 + 1] = 0.997041f;	val_dir[16507*3 + 2] = -0.034381f;
 	val_dir[16508*3 + 0] = -0.050753f;	val_dir[16508*3 + 1] = 0.998138f;	val_dir[16508*3 + 2] = -0.033835f;
 	val_dir[16509*3 + 0] = -0.033296f;	val_dir[16509*3 + 1] = 0.998891f;	val_dir[16509*3 + 2] = -0.033296f;
 	val_dir[16510*3 + 0] = -0.016382f;	val_dir[16510*3 + 1] = 0.999329f;	val_dir[16510*3 + 2] = -0.032765f;
 	val_dir[16511*3 + 0] = 0.0f;	val_dir[16511*3 + 1] = 0.999480f;	val_dir[16511*3 + 2] = -0.032241f;
 	val_dir[16512*3 + 0] = 0.015871f;	val_dir[16512*3 + 1] = 0.999874f;	val_dir[16512*3 + 2] = 0.0f;
 	val_dir[16513*3 + 0] = -0.999874f;	val_dir[16513*3 + 1] = 0.0f;	val_dir[16513*3 + 2] = -0.015871f;
 	val_dir[16514*3 + 0] = -0.999740f;	val_dir[16514*3 + 1] = 0.016125f;	val_dir[16514*3 + 2] = -0.016125f;
 	val_dir[16515*3 + 0] = -0.999329f;	val_dir[16515*3 + 1] = 0.032765f;	val_dir[16515*3 + 2] = -0.016382f;
 	val_dir[16516*3 + 0] = -0.998614f;	val_dir[16516*3 + 1] = 0.049931f;	val_dir[16516*3 + 2] = -0.016644f;
 	val_dir[16517*3 + 0] = -0.997567f;	val_dir[16517*3 + 1] = 0.067632f;	val_dir[16517*3 + 2] = -0.016908f;
 	val_dir[16518*3 + 0] = -0.996158f;	val_dir[16518*3 + 1] = 0.085876f;	val_dir[16518*3 + 2] = -0.017175f;
 	val_dir[16519*3 + 0] = -0.994354f;	val_dir[16519*3 + 1] = 0.104669f;	val_dir[16519*3 + 2] = -0.017445f;
 	val_dir[16520*3 + 0] = -0.992122f;	val_dir[16520*3 + 1] = 0.124015f;	val_dir[16520*3 + 2] = -0.017716f;
 	val_dir[16521*3 + 0] = -0.989426f;	val_dir[16521*3 + 1] = 0.143917f;	val_dir[16521*3 + 2] = -0.017990f;
 	val_dir[16522*3 + 0] = -0.986229f;	val_dir[16522*3 + 1] = 0.164372f;	val_dir[16522*3 + 2] = -0.018264f;
 	val_dir[16523*3 + 0] = -0.982493f;	val_dir[16523*3 + 1] = 0.185376f;	val_dir[16523*3 + 2] = -0.018538f;
 	val_dir[16524*3 + 0] = -0.978177f;	val_dir[16524*3 + 1] = 0.206922f;	val_dir[16524*3 + 2] = -0.018811f;
 	val_dir[16525*3 + 0] = -0.973240f;	val_dir[16525*3 + 1] = 0.228998f;	val_dir[16525*3 + 2] = -0.019083f;
 	val_dir[16526*3 + 0] = -0.967641f;	val_dir[16526*3 + 1] = 0.251587f;	val_dir[16526*3 + 2] = -0.019353f;
 	val_dir[16527*3 + 0] = -0.961339f;	val_dir[16527*3 + 1] = 0.274668f;	val_dir[16527*3 + 2] = -0.019619f;
 	val_dir[16528*3 + 0] = -0.954291f;	val_dir[16528*3 + 1] = 0.298216f;	val_dir[16528*3 + 2] = -0.019881f;
 	val_dir[16529*3 + 0] = -0.946458f;	val_dir[16529*3 + 1] = 0.322198f;	val_dir[16529*3 + 2] = -0.020137f;
 	val_dir[16530*3 + 0] = -0.93780f;	val_dir[16530*3 + 1] = 0.346578f;	val_dir[16530*3 + 2] = -0.020387f;
 	val_dir[16531*3 + 0] = -0.928279f;	val_dir[16531*3 + 1] = 0.371312f;	val_dir[16531*3 + 2] = -0.020628f;
 	val_dir[16532*3 + 0] = -0.917863f;	val_dir[16532*3 + 1] = 0.396350f;	val_dir[16532*3 + 2] = -0.020861f;
 	val_dir[16533*3 + 0] = -0.906520f;	val_dir[16533*3 + 1] = 0.421637f;	val_dir[16533*3 + 2] = -0.021082f;
 	val_dir[16534*3 + 0] = -0.894224f;	val_dir[16534*3 + 1] = 0.447112f;	val_dir[16534*3 + 2] = -0.021291f;
 	val_dir[16535*3 + 0] = -0.880957f;	val_dir[16535*3 + 1] = 0.472709f;	val_dir[16535*3 + 2] = -0.021487f;
 	val_dir[16536*3 + 0] = -0.866703f;	val_dir[16536*3 + 1] = 0.498354f;	val_dir[16536*3 + 2] = -0.021668f;
 	val_dir[16537*3 + 0] = -0.851455f;	val_dir[16537*3 + 1] = 0.523973f;	val_dir[16537*3 + 2] = -0.021832f;
 	val_dir[16538*3 + 0] = -0.835215f;	val_dir[16538*3 + 1] = 0.549484f;	val_dir[16538*3 + 2] = -0.021979f;
 	val_dir[16539*3 + 0] = -0.817992f;	val_dir[16539*3 + 1] = 0.574805f;	val_dir[16539*3 + 2] = -0.022108f;
 	val_dir[16540*3 + 0] = -0.799803f;	val_dir[16540*3 + 1] = 0.599852f;	val_dir[16540*3 + 2] = -0.022217f;
 	val_dir[16541*3 + 0] = -0.780675f;	val_dir[16541*3 + 1] = 0.624540f;	val_dir[16541*3 + 2] = -0.022305f;
 	val_dir[16542*3 + 0] = -0.760644f;	val_dir[16542*3 + 1] = 0.648784f;	val_dir[16542*3 + 2] = -0.022372f;
 	val_dir[16543*3 + 0] = -0.739754f;	val_dir[16543*3 + 1] = 0.672504f;	val_dir[16543*3 + 2] = -0.022417f;
 	val_dir[16544*3 + 0] = -0.718059f;	val_dir[16544*3 + 1] = 0.695620f;	val_dir[16544*3 + 2] = -0.022439f;
 	val_dir[16545*3 + 0] = -0.695620f;	val_dir[16545*3 + 1] = 0.718059f;	val_dir[16545*3 + 2] = -0.022439f;
 	val_dir[16546*3 + 0] = -0.672504f;	val_dir[16546*3 + 1] = 0.739754f;	val_dir[16546*3 + 2] = -0.022417f;
 	val_dir[16547*3 + 0] = -0.648784f;	val_dir[16547*3 + 1] = 0.760644f;	val_dir[16547*3 + 2] = -0.022372f;
 	val_dir[16548*3 + 0] = -0.624540f;	val_dir[16548*3 + 1] = 0.780675f;	val_dir[16548*3 + 2] = -0.022305f;
 	val_dir[16549*3 + 0] = -0.599852f;	val_dir[16549*3 + 1] = 0.799803f;	val_dir[16549*3 + 2] = -0.022217f;
 	val_dir[16550*3 + 0] = -0.574805f;	val_dir[16550*3 + 1] = 0.817992f;	val_dir[16550*3 + 2] = -0.022108f;
 	val_dir[16551*3 + 0] = -0.549484f;	val_dir[16551*3 + 1] = 0.835215f;	val_dir[16551*3 + 2] = -0.021979f;
 	val_dir[16552*3 + 0] = -0.523973f;	val_dir[16552*3 + 1] = 0.851455f;	val_dir[16552*3 + 2] = -0.021832f;
 	val_dir[16553*3 + 0] = -0.498354f;	val_dir[16553*3 + 1] = 0.866703f;	val_dir[16553*3 + 2] = -0.021668f;
 	val_dir[16554*3 + 0] = -0.472709f;	val_dir[16554*3 + 1] = 0.880957f;	val_dir[16554*3 + 2] = -0.021487f;
 	val_dir[16555*3 + 0] = -0.447112f;	val_dir[16555*3 + 1] = 0.894224f;	val_dir[16555*3 + 2] = -0.021291f;
 	val_dir[16556*3 + 0] = -0.421637f;	val_dir[16556*3 + 1] = 0.906520f;	val_dir[16556*3 + 2] = -0.021082f;
 	val_dir[16557*3 + 0] = -0.396350f;	val_dir[16557*3 + 1] = 0.917863f;	val_dir[16557*3 + 2] = -0.020861f;
 	val_dir[16558*3 + 0] = -0.371312f;	val_dir[16558*3 + 1] = 0.928279f;	val_dir[16558*3 + 2] = -0.020628f;
 	val_dir[16559*3 + 0] = -0.346578f;	val_dir[16559*3 + 1] = 0.93780f;	val_dir[16559*3 + 2] = -0.020387f;
 	val_dir[16560*3 + 0] = -0.322198f;	val_dir[16560*3 + 1] = 0.946458f;	val_dir[16560*3 + 2] = -0.020137f;
 	val_dir[16561*3 + 0] = -0.298216f;	val_dir[16561*3 + 1] = 0.954291f;	val_dir[16561*3 + 2] = -0.019881f;
 	val_dir[16562*3 + 0] = -0.274668f;	val_dir[16562*3 + 1] = 0.961339f;	val_dir[16562*3 + 2] = -0.019619f;
 	val_dir[16563*3 + 0] = -0.251587f;	val_dir[16563*3 + 1] = 0.967641f;	val_dir[16563*3 + 2] = -0.019353f;
 	val_dir[16564*3 + 0] = -0.228998f;	val_dir[16564*3 + 1] = 0.973240f;	val_dir[16564*3 + 2] = -0.019083f;
 	val_dir[16565*3 + 0] = -0.206922f;	val_dir[16565*3 + 1] = 0.978177f;	val_dir[16565*3 + 2] = -0.018811f;
 	val_dir[16566*3 + 0] = -0.185376f;	val_dir[16566*3 + 1] = 0.982493f;	val_dir[16566*3 + 2] = -0.018538f;
 	val_dir[16567*3 + 0] = -0.164372f;	val_dir[16567*3 + 1] = 0.986229f;	val_dir[16567*3 + 2] = -0.018264f;
 	val_dir[16568*3 + 0] = -0.143917f;	val_dir[16568*3 + 1] = 0.989426f;	val_dir[16568*3 + 2] = -0.017990f;
 	val_dir[16569*3 + 0] = -0.124015f;	val_dir[16569*3 + 1] = 0.992122f;	val_dir[16569*3 + 2] = -0.017716f;
 	val_dir[16570*3 + 0] = -0.104669f;	val_dir[16570*3 + 1] = 0.994354f;	val_dir[16570*3 + 2] = -0.017445f;
 	val_dir[16571*3 + 0] = -0.085876f;	val_dir[16571*3 + 1] = 0.996158f;	val_dir[16571*3 + 2] = -0.017175f;
 	val_dir[16572*3 + 0] = -0.067632f;	val_dir[16572*3 + 1] = 0.997567f;	val_dir[16572*3 + 2] = -0.016908f;
 	val_dir[16573*3 + 0] = -0.049931f;	val_dir[16573*3 + 1] = 0.998614f;	val_dir[16573*3 + 2] = -0.016644f;
 	val_dir[16574*3 + 0] = -0.032765f;	val_dir[16574*3 + 1] = 0.999329f;	val_dir[16574*3 + 2] = -0.016382f;
 	val_dir[16575*3 + 0] = -0.016125f;	val_dir[16575*3 + 1] = 0.999740f;	val_dir[16575*3 + 2] = -0.016125f;
 	val_dir[16576*3 + 0] = 0.0f;	val_dir[16576*3 + 1] = 0.999874f;	val_dir[16576*3 + 2] = -0.015871f;
 	val_dir[16577*3 + 0] = -1.0f;	val_dir[16577*3 + 1] = 0.0f;	val_dir[16577*3 + 2] = 0.0f;
 	val_dir[16578*3 + 0] = -0.999874f;	val_dir[16578*3 + 1] = 0.015871f;	val_dir[16578*3 + 2] = 0.0f;
 	val_dir[16579*3 + 0] = -0.999480f;	val_dir[16579*3 + 1] = 0.032241f;	val_dir[16579*3 + 2] = 0.0f;
 	val_dir[16580*3 + 0] = -0.998793f;	val_dir[16580*3 + 1] = 0.049121f;	val_dir[16580*3 + 2] = 0.0f;
 	val_dir[16581*3 + 0] = -0.997785f;	val_dir[16581*3 + 1] = 0.066519f;	val_dir[16581*3 + 2] = 0.0f;
 	val_dir[16582*3 + 0] = -0.996428f;	val_dir[16582*3 + 1] = 0.084443f;	val_dir[16582*3 + 2] = 0.0f;
 	val_dir[16583*3 + 0] = -0.994692f;	val_dir[16583*3 + 1] = 0.102899f;	val_dir[16583*3 + 2] = 0.0f;
 	val_dir[16584*3 + 0] = -0.992543f;	val_dir[16584*3 + 1] = 0.121891f;	val_dir[16584*3 + 2] = 0.0f;
 	val_dir[16585*3 + 0] = -0.989949f;	val_dir[16585*3 + 1] = 0.141421f;	val_dir[16585*3 + 2] = 0.0f;
 	val_dir[16586*3 + 0] = -0.986875f;	val_dir[16586*3 + 1] = 0.161489f;	val_dir[16586*3 + 2] = 0.0f;
 	val_dir[16587*3 + 0] = -0.983282f;	val_dir[16587*3 + 1] = 0.182089f;	val_dir[16587*3 + 2] = 0.0f;
 	val_dir[16588*3 + 0] = -0.979134f;	val_dir[16588*3 + 1] = 0.203216f;	val_dir[16588*3 + 2] = 0.0f;
 	val_dir[16589*3 + 0] = -0.974391f;	val_dir[16589*3 + 1] = 0.224860f;	val_dir[16589*3 + 2] = 0.0f;
 	val_dir[16590*3 + 0] = -0.969015f;	val_dir[16590*3 + 1] = 0.247004f;	val_dir[16590*3 + 2] = 0.0f;
 	val_dir[16591*3 + 0] = -0.962964f;	val_dir[16591*3 + 1] = 0.269630f;	val_dir[16591*3 + 2] = 0.0f;
 	val_dir[16592*3 + 0] = -0.95620f;	val_dir[16592*3 + 1] = 0.292714f;	val_dir[16592*3 + 2] = 0.0f;
 	val_dir[16593*3 + 0] = -0.948683f;	val_dir[16593*3 + 1] = 0.316228f;	val_dir[16593*3 + 2] = 0.0f;
 	val_dir[16594*3 + 0] = -0.940376f;	val_dir[16594*3 + 1] = 0.340136f;	val_dir[16594*3 + 2] = 0.0f;
 	val_dir[16595*3 + 0] = -0.931243f;	val_dir[16595*3 + 1] = 0.364399f;	val_dir[16595*3 + 2] = 0.0f;
 	val_dir[16596*3 + 0] = -0.921250f;	val_dir[16596*3 + 1] = 0.388972f;	val_dir[16596*3 + 2] = 0.0f;
 	val_dir[16597*3 + 0] = -0.910366f;	val_dir[16597*3 + 1] = 0.413803f;	val_dir[16597*3 + 2] = 0.0f;
 	val_dir[16598*3 + 0] = -0.898567f;	val_dir[16598*3 + 1] = 0.438835f;	val_dir[16598*3 + 2] = 0.0f;
 	val_dir[16599*3 + 0] = -0.885832f;	val_dir[16599*3 + 1] = 0.464007f;	val_dir[16599*3 + 2] = 0.0f;
 	val_dir[16600*3 + 0] = -0.872143f;	val_dir[16600*3 + 1] = 0.489251f;	val_dir[16600*3 + 2] = 0.0f;
 	val_dir[16601*3 + 0] = -0.857493f;	val_dir[16601*3 + 1] = 0.514496f;	val_dir[16601*3 + 2] = 0.0f;
 	val_dir[16602*3 + 0] = -0.841879f;	val_dir[16602*3 + 1] = 0.539666f;	val_dir[16602*3 + 2] = 0.0f;
 	val_dir[16603*3 + 0] = -0.825307f;	val_dir[16603*3 + 1] = 0.564684f;	val_dir[16603*3 + 2] = 0.0f;
 	val_dir[16604*3 + 0] = -0.807791f;	val_dir[16604*3 + 1] = 0.589469f;	val_dir[16604*3 + 2] = 0.0f;
 	val_dir[16605*3 + 0] = -0.789352f;	val_dir[16605*3 + 1] = 0.613941f;	val_dir[16605*3 + 2] = 0.0f;
 	val_dir[16606*3 + 0] = -0.770022f;	val_dir[16606*3 + 1] = 0.638018f;	val_dir[16606*3 + 2] = 0.0f;
 	val_dir[16607*3 + 0] = -0.749838f;	val_dir[16607*3 + 1] = 0.661622f;	val_dir[16607*3 + 2] = 0.0f;
 	val_dir[16608*3 + 0] = -0.728848f;	val_dir[16608*3 + 1] = 0.684675f;	val_dir[16608*3 + 2] = 0.0f;
 	val_dir[16609*3 + 0] = -0.707107f;	val_dir[16609*3 + 1] = 0.707107f;	val_dir[16609*3 + 2] = 0.0f;
 	val_dir[16610*3 + 0] = -0.684675f;	val_dir[16610*3 + 1] = 0.728848f;	val_dir[16610*3 + 2] = 0.0f;
 	val_dir[16611*3 + 0] = -0.661622f;	val_dir[16611*3 + 1] = 0.749838f;	val_dir[16611*3 + 2] = 0.0f;
 	val_dir[16612*3 + 0] = -0.638018f;	val_dir[16612*3 + 1] = 0.770022f;	val_dir[16612*3 + 2] = 0.0f;
 	val_dir[16613*3 + 0] = -0.613941f;	val_dir[16613*3 + 1] = 0.789352f;	val_dir[16613*3 + 2] = 0.0f;
 	val_dir[16614*3 + 0] = -0.589469f;	val_dir[16614*3 + 1] = 0.807791f;	val_dir[16614*3 + 2] = 0.0f;
 	val_dir[16615*3 + 0] = -0.564684f;	val_dir[16615*3 + 1] = 0.825307f;	val_dir[16615*3 + 2] = 0.0f;
 	val_dir[16616*3 + 0] = -0.539666f;	val_dir[16616*3 + 1] = 0.841879f;	val_dir[16616*3 + 2] = 0.0f;
 	val_dir[16617*3 + 0] = -0.514496f;	val_dir[16617*3 + 1] = 0.857493f;	val_dir[16617*3 + 2] = 0.0f;
 	val_dir[16618*3 + 0] = -0.489251f;	val_dir[16618*3 + 1] = 0.872143f;	val_dir[16618*3 + 2] = 0.0f;
 	val_dir[16619*3 + 0] = -0.464007f;	val_dir[16619*3 + 1] = 0.885832f;	val_dir[16619*3 + 2] = 0.0f;
 	val_dir[16620*3 + 0] = -0.438835f;	val_dir[16620*3 + 1] = 0.898567f;	val_dir[16620*3 + 2] = 0.0f;
 	val_dir[16621*3 + 0] = -0.413803f;	val_dir[16621*3 + 1] = 0.910366f;	val_dir[16621*3 + 2] = 0.0f;
 	val_dir[16622*3 + 0] = -0.388972f;	val_dir[16622*3 + 1] = 0.921250f;	val_dir[16622*3 + 2] = 0.0f;
 	val_dir[16623*3 + 0] = -0.364399f;	val_dir[16623*3 + 1] = 0.931243f;	val_dir[16623*3 + 2] = 0.0f;
 	val_dir[16624*3 + 0] = -0.340136f;	val_dir[16624*3 + 1] = 0.940376f;	val_dir[16624*3 + 2] = 0.0f;
 	val_dir[16625*3 + 0] = -0.316228f;	val_dir[16625*3 + 1] = 0.948683f;	val_dir[16625*3 + 2] = 0.0f;
 	val_dir[16626*3 + 0] = -0.292714f;	val_dir[16626*3 + 1] = 0.95620f;	val_dir[16626*3 + 2] = 0.0f;
 	val_dir[16627*3 + 0] = -0.269630f;	val_dir[16627*3 + 1] = 0.962964f;	val_dir[16627*3 + 2] = 0.0f;
 	val_dir[16628*3 + 0] = -0.247004f;	val_dir[16628*3 + 1] = 0.969015f;	val_dir[16628*3 + 2] = 0.0f;
 	val_dir[16629*3 + 0] = -0.224860f;	val_dir[16629*3 + 1] = 0.974391f;	val_dir[16629*3 + 2] = 0.0f;
 	val_dir[16630*3 + 0] = -0.203216f;	val_dir[16630*3 + 1] = 0.979134f;	val_dir[16630*3 + 2] = 0.0f;
 	val_dir[16631*3 + 0] = -0.182089f;	val_dir[16631*3 + 1] = 0.983282f;	val_dir[16631*3 + 2] = 0.0f;
 	val_dir[16632*3 + 0] = -0.161489f;	val_dir[16632*3 + 1] = 0.986875f;	val_dir[16632*3 + 2] = 0.0f;
 	val_dir[16633*3 + 0] = -0.141421f;	val_dir[16633*3 + 1] = 0.989949f;	val_dir[16633*3 + 2] = 0.0f;
 	val_dir[16634*3 + 0] = -0.121891f;	val_dir[16634*3 + 1] = 0.992543f;	val_dir[16634*3 + 2] = 0.0f;
 	val_dir[16635*3 + 0] = -0.102899f;	val_dir[16635*3 + 1] = 0.994692f;	val_dir[16635*3 + 2] = 0.0f;
 	val_dir[16636*3 + 0] = -0.084443f;	val_dir[16636*3 + 1] = 0.996428f;	val_dir[16636*3 + 2] = 0.0f;
 	val_dir[16637*3 + 0] = -0.066519f;	val_dir[16637*3 + 1] = 0.997785f;	val_dir[16637*3 + 2] = 0.0f;
 	val_dir[16638*3 + 0] = -0.049121f;	val_dir[16638*3 + 1] = 0.998793f;	val_dir[16638*3 + 2] = 0.0f;
 	val_dir[16639*3 + 0] = -0.032241f;	val_dir[16639*3 + 1] = 0.999480f;	val_dir[16639*3 + 2] = 0.0f;
 	val_dir[16640*3 + 0] = -0.015871f;	val_dir[16640*3 + 1] = 0.999874f;	val_dir[16640*3 + 2] = 0.0f;
 	val_dir[16641*3 + 0] = 0.0f;	val_dir[16641*3 + 1] = 1.0f;	val_dir[16641*3 + 2] = 0.0f;
 	val_dir[16642*3 + 0] = 0.0f;	val_dir[16642*3 + 1] = 0.0f;	val_dir[16642*3 + 2] = 0.0f;
	}
}