Medical Imaging Interaction Toolkit  2016.11.0
Medical Imaging Interaction Toolkit
itkStochasticTractographyFilter_SD.txx
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1 /*===================================================================
2 
3 The Medical Imaging Interaction Toolkit (MITK)
4 
5 Copyright (c) German Cancer Research Center,
6 Division of Medical and Biological Informatics.
7 All rights reserved.
8 
9 This software is distributed WITHOUT ANY WARRANTY; without
10 even the implied warranty of MERCHANTABILITY or FITNESS FOR
11 A PARTICULAR PURPOSE.
12 
13 See LICENSE.txt or http://www.mitk.org for details.
14 
15 ===================================================================*/
16 #include "itkStochasticTractographyFilter.h"
17 
18 namespace itk{
19 
20 template< class TInputDWIImage, class TInputMaskImage, class TOutputConnectivityImage >
21 void
22 StochasticTractographyFilter< TInputDWIImage, TInputMaskImage, TOutputConnectivityImage >
23 ::LoadDefaultSampleDirections( void ){
24  const unsigned int totalsd = 2562;
25  double sdarray[totalsd][3] = {
26  {0.850651, 0.525731, 6.12323e-17},
27  {-0.850651, 0.525731, 6.12323e-17},
28  {-0.850651 , -0.525731, 6.12323e-17},
29  {0.850651, -0.525731, 6.12323e-17},
30  {0.525731, 0, 0.850651},
31  {0.525731, 0, -0.850651},
32  {-0.525731, 6.43835e-17, -0.850651},
33  {-0.525731, 6.43835e-17, 0.850651},
34  {5.20873e-17, 0.850651, 0.525731},
35  {5.20873e-17, -0.850651, 0.525731},
36  {5.20873e-17, -0.850651, -0.525731},
37  {5.20873e-17, 0.850651, -0.525731},
38  {0, 0, 1},
39  {-0.309017, 0.5, 0.809017 },
40  {0.309017, 0.5, 0.809017},
41  {0.309017, -0.5, 0.809017},
42  {-0.309017, -0.5, 0.809017},
43  {0.309017, 0.5, -0.809017},
44  {-0.309017, 0.5, -0.809017},
45  {1.22465e-16, 0, -1},
46  {-0.309017 , -0.5, -0.809017},
47  {0.309017, -0.5, -0.809017},
48  {1, 0, 6.12323e-17},
49  {0.809017, -0.309017, 0.5},
50  {0.809017, 0.309017, 0.5},
51  {0.809017, 0.309017, -0.5},
52  {0.809017, -0.309017, -0.5 },
53  {-1, 1.22465e-16, 6.12323e-17},
54  {-0.809017, 0.309017, 0.5},
55  {-0.809017, -0.309017, 0.5},
56  {-0.809017, -0.309017, -0.5},
57  {-0.809017, 0.309017, -0.5},
58  {6.12323e-17, 1, 6.12323e-17 },
59  {0.5, 0.809017, -0.309017},
60  {0.5, 0.809017, 0.309017},
61  {-0.5, 0.809017, 0.309017},
62  {-0.5, 0.809017, -0.309017},
63  {0.5, -0.809017, 0.309017},
64  {0.5, -0.809017, -0.309017},
65  { 6.12323e-17, -1, 6.12323e-17},
66  {-0.5, -0.809017, -0.309017},
67  {-0.5, -0.809017, 0.309017},
68  {0.273267, 0, 0.961938},
69  {0.16246, 0.262866, 0.951057},
70  {0.433889, 0.259892, 0.862668},
71  {- 0.273267, 3.34655e-17, 0.961938},
72  {-0.433889, 0.259892, 0.862668},
73  {-0.16246, 0.262866, 0.951057},
74  {-8.4544e-17, 0.525731, 0.850651},
75  {-0.160622, 0.702046, 0.69378},
76  {0.160622, 0.702046, 0.69378},
77  {0.433889, -0.259892, 0.862668},
78  {0.16246, -0.262866, 0.951057},
79  {0.160622, -0.702046, 0.69378},
80  {-0.160622, -0.702046, 0.69378},
81  {-8.4544e-17, -0.525731, 0.850651},
82  {-0.16246 , -0.262866, 0.951057},
83  {-0.433889, -0.259892, 0.862668},
84  {0.433889, 0.259892, -0.862668},
85  {0.16246, 0.262866, -0.951057},
86  {0.273267, 0, -0.961938},
87  {0.160622, 0.702046, -0.69378},
88  {- 0.160622, 0.702046, -0.69378},
89  {-8.4544e-17, 0.525731, -0.850651},
90  {-0.16246, 0.262866, -0.951057},
91  {-0.433889, 0.259892, -0.862668},
92  {-0.273267, 3.34655e-17, -0.961938},
93  {0.16246, -0.262866 , -0.951057},
94  {0.433889, -0.259892, -0.862668},
95  {-0.433889, -0.259892, -0.862668},
96  {-0.16246, -0.262866, -0.951057},
97  {-8.4544e-17, -0.525731, -0.850651},
98  {-0.160622, -0.702046, -0.69378},
99  {0.160622, -0.702046, -0.69378},
100  {0.961938, 0.273267, 6.12323e-17},
101  {0.951057, 0.16246, 0.262866},
102  {0.862668, 0.433889, 0.259892},
103  {0.961938, -0.273267, 6.12323e-17},
104  {0.862668, - 0.433889, 0.259892},
105  {0.951057, -0.16246, 0.262866},
106  {0.850651, 0, 0.525731},
107  {0.69378, -0.160622, 0.702046},
108  {0.69378, 0.160622, 0.702046},
109  {0.862668, 0.433889, -0.259892},
110  {0.951057 , 0.16246, -0.262866},
111  {0.69378, 0.160622, -0.702046},
112  {0.69378, -0.160622, -0.702046},
113  {0.850651, 0, -0.525731},
114  {0.951057, -0.16246, -0.262866},
115  {0.862668, -0.433889, -0.259892},
116  {- 0.961938, -0.273267, 6.12323e-17},
117  {-0.951057, -0.16246, 0.262866},
118  {-0.862668, -0.433889, 0.259892},
119  {-0.961938, 0.273267, 6.12323e-17},
120  {-0.862668, 0.433889, 0.259892},
121  {-0.951057, 0.16246 , 0.262866},
122  {-0.850651, 1.04175e-16, 0.525731},
123  {-0.69378, 0.160622, 0.702046},
124  {-0.69378, -0.160622, 0.702046},
125  {-0.862668, -0.433889, -0.259892},
126  {-0.951057, -0.16246, -0.262866},
127  {-0.69378, -0.160622, -0.702046},
128  {-0.69378, 0.160622, -0.702046},
129  {-0.850651, 1.04175e-16, -0.525731},
130  {-0.951057, 0.16246, -0.262866},
131  {-0.862668, 0.433889, -0.259892},
132  {5.89017e-17 , 0.961938, 0.273267},
133  {0.262866, 0.951057, 0.16246},
134  {0.259892, 0.862668, 0.433889},
135  {5.89017e-17, 0.961938, -0.273267},
136  {0.259892, 0.862668, -0.433889},
137  {0.262866, 0.951057, -0.16246},
138  {0.525731, 0.850651, -1.60812e-16},
139  {0.702046, 0.69378, -0.160622},
140  {0.702046, 0.69378, 0.160622},
141  {-0.259892, 0.862668, 0.433889},
142  {-0.262866, 0.951057, 0.16246},
143  {-0.702046, 0.69378 , 0.160622},
144  {-0.702046, 0.69378, -0.160622},
145  {-0.525731, 0.850651, -1.60812e-16},
146  {-0.262866, 0.951057, -0.16246},
147  {-0.259892, 0.862668, -0.433889},
148  {0.259892, -0.862668, 0.433889},
149  {0.262866, -0.951057, 0.16246},
150  {5.89017e-17, -0.961938, 0.273267},
151  {0.702046, -0.69378, 0.160622},
152  {0.702046, -0.69378, -0.160622},
153  {0.525731, -0.850651, -1.60812e-16},
154  {0.262866, - 0.951057, -0.16246},
155  {0.259892, -0.862668, -0.433889},
156  {5.89017e-17, -0.961938, -0.273267},
157  {-0.262866, -0.951057, 0.16246},
158  {-0.259892, -0.862668, 0.433889},
159  {-0.259892, -0.862668, -0.433889 },
160  {-0.262866, -0.951057, -0.16246},
161  {-0.525731, -0.850651, -1.60812e-16},
162  {-0.702046, -0.69378, -0.160622},
163  {-0.702046, -0.69378, 0.160622},
164  {0.425325, 0.688191, 0.587785},
165  {0.688191 , 0.587785, 0.425325},
166  {0.587785, 0.425325, 0.688191},
167  {0.425325, 0.688191, -0.587785},
168  {0.587785, 0.425325, -0.688191},
169  {0.688191, 0.587785, -0.425325},
170  {0.587785, -0.425325, 0.688191},
171  {0.688191, -0.587785, 0.425325},
172  {0.425325, -0.688191, 0.587785},
173  {0.587785, -0.425325, -0.688191},
174  {0.425325, -0.688191, -0.587785},
175  {0.688191, -0.587785, -0.425325},
176  {-0.587785 , 0.425325, 0.688191},
177  {-0.688191, 0.587785, 0.425325},
178  {-0.425325, 0.688191, 0.587785},
179  {-0.587785, 0.425325, -0.688191},
180  {-0.425325, 0.688191, -0.587785},
181  {-0.688191, 0.587785, -0.425325 },
182  {-0.587785, -0.425325, 0.688191},
183  {-0.425325, -0.688191, 0.587785},
184  {-0.688191, -0.587785, 0.425325},
185  {-0.587785, -0.425325, -0.688191},
186  {-0.688191, -0.587785, -0.425325},
187  {-0.425325 , -0.688191, -0.587785},
188  {0.403355, 0, 0.915043},
189  {0.358229, 0.131655, 0.924305},
190  {0.484442, 0.1312, 0.864929},
191  {0.137952, 0, 0.990439},
192  {0.0822425, 0.133071, 0.987688},
193  {0.220117 , 0.132792, 0.966393},
194  {0.301259, 0.264083, 0.916244},
195  {0.238677, 0.386187, 0.891007},
196  {0.375039, 0.383614, 0.843911},
197  {-0.137952, 1.68943e-17, 0.990439},
198  {-0.220117, 0.132792, 0.966393},
199  {-0.0822425, 0.133071, 0.987688},
200  {-0.403355, 4.93968e-17, 0.915043},
201  {-0.484442, 0.1312, 0.864929},
202  {-0.358229, 0.131655, 0.924305},
203  {-0.301259, 0.264083, 0.916244},
204  {-0.375039, 0.383614, 0.843911},
205  {-0.238677, 0.386187, 0.891007},
206  {0.156434, 0.519258, 0.840178},
207  {0.0811419, 0.62024, 0.780204},
208  {0.237086, 0.606825, 0.758652},
209  {-0.156434, 0.519258, 0.840178},
210  {-0.237086, 0.606825, 0.758652},
211  {-0.0811419, 0.62024, 0.780204},
212  {-1.14383e-16, 0.711282, 0.702907},
213  {-0.0810863, 0.783843, 0.615642},
214  {0.0810863, 0.783843, 0.615642},
215  {-4.28411e-17 , 0.266405, 0.963861},
216  {-0.0823236, 0.399607, 0.912982},
217  {0.0823236, 0.399607, 0.912982},
218  {0.484442, -0.1312, 0.864929},
219  {0.358229, -0.131655, 0.924305},
220  {0.375039, -0.383614, 0.843911},
221  {0.238677, -0.386187, 0.891007},
222  {0.301259, -0.264083, 0.916244},
223  {0.220117, -0.132792, 0.966393},
224  {0.0822425, -0.133071, 0.987688},
225  {0.237086, -0.606825, 0.758652},
226  {0.0811419, - 0.62024, 0.780204},
227  {0.156434, -0.519258, 0.840178},
228  {0.0810863, -0.783843, 0.615642},
229  {-0.0810863, -0.783843, 0.615642},
230  {-1.14383e-16, -0.711282, 0.702907},
231  {-0.0811419, -0.62024, 0.780204 },
232  {-0.237086, -0.606825, 0.758652},
233  {-0.156434, -0.519258, 0.840178},
234  {-0.0822425, -0.133071, 0.987688},
235  {-0.220117, -0.132792, 0.966393},
236  {-0.238677, -0.386187, 0.891007},
237  {-0.375039 , -0.383614, 0.843911},
238  {-0.301259, -0.264083, 0.916244},
239  {-0.358229, -0.131655, 0.924305},
240  {-0.484442, -0.1312, 0.864929},
241  {0.0823236, -0.399607, 0.912982},
242  {-0.0823236, -0.399607, 0.912982 },
243  {-4.28411e-17, -0.266405, 0.963861},
244  {0.484442, 0.1312, -0.864929},
245  {0.358229, 0.131655, -0.924305},
246  {0.403355, 0, -0.915043},
247  {0.375039, 0.383614, -0.843911},
248  {0.238677, 0.386187 , -0.891007},
249  {0.301259, 0.264083, -0.916244},
250  {0.220117, 0.132792, -0.966393},
251  {0.0822425, 0.133071, -0.987688},
252  {0.137952, 0, -0.990439},
253  {0.237086, 0.606825, -0.758652},
254  {0.0811419 , 0.62024, -0.780204},
255  {0.156434, 0.519258, -0.840178},
256  {0.0810863, 0.783843, -0.615642},
257  {-0.0810863, 0.783843, -0.615642},
258  {4.35534e-17, 0.711282, -0.702907},
259  {-0.0811419, 0.62024, -0.780204 },
260  {-0.237086, 0.606825, -0.758652},
261  {-0.156434, 0.519258, -0.840178},
262  {-0.0822425, 0.133071, -0.987688},
263  {-0.220117, 0.132792, -0.966393},
264  {-0.137952, 1.68943e-17, -0.990439},
265  {- 0.238677, 0.386187, -0.891007},
266  {-0.375039, 0.383614, -0.843911},
267  {-0.301259, 0.264083, -0.916244},
268  {-0.358229, 0.131655, -0.924305},
269  {-0.484442, 0.1312, -0.864929},
270  {-0.403355, 4.93968e-17 , -0.915043},
271  {0.0823236, 0.399607, -0.912982},
272  {-0.0823236, 0.399607, -0.912982},
273  {1.63126e-17, 0.266405, -0.963861},
274  {0.358229, -0.131655, -0.924305},
275  {0.484442, -0.1312, -0.864929},
276  {0.0822425, -0.133071, -0.987688},
277  {0.220117, -0.132792, -0.966393},
278  {0.301259, -0.264083, -0.916244},
279  {0.238677, -0.386187, -0.891007},
280  {0.375039, -0.383614, -0.843911},
281  {-0.220117, - 0.132792, -0.966393},
282  {-0.0822425, -0.133071, -0.987688},
283  {-0.484442, -0.1312, -0.864929},
284  {-0.358229, -0.131655, -0.924305},
285  {-0.301259, -0.264083, -0.916244},
286  {-0.375039, -0.383614, -0.843911 },
287  {-0.238677, -0.386187, -0.891007},
288  {0.156434, -0.519258, -0.840178},
289  {0.0811419, -0.62024, -0.780204},
290  {0.237086, -0.606825, -0.758652},
291  {-0.156434, -0.519258, -0.840178},
292  {-0.237086 , -0.606825, -0.758652},
293  {-0.0811419, -0.62024, -0.780204},
294  {4.35534e-17, -0.711282, -0.702907},
295  {-0.0810863, -0.783843, -0.615642},
296  {0.0810863, -0.783843, -0.615642},
297  {1.63126e-17, -0.266405 , -0.963861},
298  {-0.0823236, -0.399607, -0.912982},
299  {0.0823236, -0.399607, -0.912982},
300  {0.915043, 0.403355, 6.12323e-17},
301  {0.924305, 0.358229, 0.131655},
302  {0.864929, 0.484442, 0.1312},
303  { 0.990439, 0.137952, 6.12323e-17},
304  {0.987688, 0.0822425, 0.133071},
305  {0.966393, 0.220117, 0.132792},
306  {0.916244, 0.301259, 0.264083},
307  {0.891007, 0.238677, 0.386187},
308  {0.843911, 0.375039, 0.383614 },
309  {0.990439, -0.137952, 6.12323e-17},
310  {0.966393, -0.220117, 0.132792},
311  {0.987688, -0.0822425, 0.133071},
312  {0.915043, -0.403355, 6.12323e-17},
313  {0.864929, -0.484442, 0.1312},
314  {0.924305 , -0.358229, 0.131655},
315  {0.916244, -0.301259, 0.264083},
316  {0.843911, -0.375039, 0.383614},
317  {0.891007, -0.238677, 0.386187},
318  {0.840178, 0.156434, 0.519258},
319  {0.780204, 0.0811419, 0.62024},
320  {0.758652, 0.237086, 0.606825},
321  {0.840178, -0.156434, 0.519258},
322  {0.758652, -0.237086, 0.606825},
323  {0.780204, -0.0811419, 0.62024},
324  {0.702907, 0, 0.711282},
325  {0.615642, -0.0810863, 0.783843},
326  {0.615642, 0.0810863, 0.783843},
327  {0.963861, 0, 0.266405},
328  {0.912982, -0.0823236, 0.399607},
329  {0.912982, 0.0823236, 0.399607},
330  {0.864929, 0.484442, -0.1312},
331  {0.924305, 0.358229 , -0.131655},
332  {0.843911, 0.375039, -0.383614},
333  {0.891007, 0.238677, -0.386187},
334  {0.916244, 0.301259, -0.264083},
335  {0.966393, 0.220117, -0.132792},
336  {0.987688, 0.0822425, -0.133071},
337  { 0.758652, 0.237086, -0.606825},
338  {0.780204, 0.0811419, -0.62024},
339  {0.840178, 0.156434, -0.519258},
340  {0.615642, 0.0810863, -0.783843},
341  {0.615642, -0.0810863, -0.783843},
342  {0.702907, 0, -0.711282 },
343  {0.780204, -0.0811419, -0.62024},
344  {0.758652, -0.237086, -0.606825},
345  {0.840178, -0.156434, -0.519258},
346  {0.987688, -0.0822425, -0.133071},
347  {0.966393, -0.220117, -0.132792},
348  {0.891007 , -0.238677, -0.386187},
349  {0.843911, -0.375039, -0.383614},
350  {0.916244, -0.301259, -0.264083},
351  {0.924305, -0.358229, -0.131655},
352  {0.864929, -0.484442, -0.1312},
353  {0.912982, 0.0823236, -0.399607 },
354  {0.912982, -0.0823236, -0.399607},
355  {0.963861, 0, -0.266405},
356  {-0.915043, -0.403355, 6.12323e-17},
357  {-0.924305, -0.358229, 0.131655},
358  {-0.864929, -0.484442, 0.1312},
359  {-0.990439, - 0.137952, 6.12323e-17},
360  {-0.987688, -0.0822425, 0.133071},
361  {-0.966393, -0.220117, 0.132792},
362  {-0.916244, -0.301259, 0.264083},
363  {-0.891007, -0.238677, 0.386187},
364  {-0.843911, -0.375039, 0.383614 },
365  {-0.990439, 0.137952, 6.12323e-17},
366  {-0.966393, 0.220117, 0.132792},
367  {-0.987688, 0.0822425, 0.133071},
368  {-0.915043, 0.403355, 6.12323e-17},
369  {-0.864929, 0.484442, 0.1312},
370  {-0.924305 , 0.358229, 0.131655},
371  {-0.916244, 0.301259, 0.264083},
372  {-0.843911, 0.375039, 0.383614},
373  {-0.891007, 0.238677, 0.386187},
374  {-0.840178, -0.156434, 0.519258},
375  {-0.780204, -0.0811419, 0.62024 },
376  {-0.758652, -0.237086, 0.606825},
377  {-0.840178, 0.156434, 0.519258},
378  {-0.758652, 0.237086, 0.606825},
379  {-0.780204, 0.0811419, 0.62024},
380  {-0.702907, 8.60813e-17, 0.711282},
381  {-0.615642 , 0.0810863, 0.783843},
382  {-0.615642, -0.0810863, 0.783843},
383  {-0.963861, 1.18039e-16, 0.266405},
384  {-0.912982, 0.0823236, 0.399607},
385  {-0.912982, -0.0823236, 0.399607},
386  {-0.864929, -0.484442, - 0.1312},
387  {-0.924305, -0.358229, -0.131655},
388  {-0.843911, -0.375039, -0.383614},
389  {-0.891007, -0.238677, -0.386187},
390  {-0.916244, -0.301259, -0.264083},
391  {-0.966393, -0.220117, -0.132792},
392  {-0.987688, -0.0822425, -0.133071},
393  {-0.758652, -0.237086, -0.606825},
394  {-0.780204, -0.0811419, -0.62024},
395  {-0.840178, -0.156434, -0.519258},
396  {-0.615642, -0.0810863, -0.783843},
397  {-0.615642 , 0.0810863, -0.783843},
398  {-0.702907, 8.60813e-17, -0.711282},
399  {-0.780204, 0.0811419, -0.62024},
400  {-0.758652, 0.237086, -0.606825},
401  {-0.840178, 0.156434, -0.519258},
402  {-0.987688, 0.0822425, - 0.133071},
403  {-0.966393, 0.220117, -0.132792},
404  {-0.891007, 0.238677, -0.386187},
405  {-0.843911, 0.375039, -0.383614},
406  {-0.916244, 0.301259, -0.264083},
407  {-0.924305, 0.358229, -0.131655},
408  {- 0.864929, 0.484442, -0.1312},
409  {-0.912982, -0.0823236, -0.399607},
410  {-0.912982, 0.0823236, -0.399607},
411  {-0.963861, 1.18039e-16, -0.266405},
412  {5.60302e-17, 0.915043, 0.403355},
413  {0.131655, 0.924305 , 0.358229},
414  {0.1312, 0.864929, 0.484442},
415  {6.06469e-17, 0.990439, 0.137952},
416  {0.133071, 0.987688, 0.0822425},
417  {0.132792, 0.966393, 0.220117},
418  {0.264083, 0.916244, 0.301259},
419  {0.386187 , 0.891007, 0.238677},
420  {0.383614, 0.843911, 0.375039},
421  {6.06469e-17, 0.990439, -0.137952},
422  {0.132792, 0.966393, -0.220117},
423  {0.133071, 0.987688, -0.0822425},
424  {5.60302e-17, 0.915043, -0.403355 },
425  {0.1312, 0.864929, -0.484442},
426  {0.131655, 0.924305, -0.358229},
427  {0.264083, 0.916244, -0.301259},
428  {0.383614, 0.843911, -0.375039},
429  {0.386187, 0.891007, -0.238677},
430  {0.519258, 0.840178 , 0.156434},
431  {0.62024, 0.780204, 0.0811419},
432  {0.606825, 0.758652, 0.237086},
433  {0.519258, 0.840178, -0.156434},
434  {0.606825, 0.758652, -0.237086},
435  {0.62024, 0.780204, -0.0811419},
436  {0.711282 , 0.702907, -1.60812e-16},
437  {0.783843, 0.615642, -0.0810863},
438  {0.783843, 0.615642, 0.0810863},
439  {0.266405, 0.963861, -1.60812e-16},
440  {0.399607, 0.912982, -0.0823236},
441  {0.399607, 0.912982, 0.0823236 },
442  {-0.1312, 0.864929, 0.484442},
443  {-0.131655, 0.924305, 0.358229},
444  {-0.383614, 0.843911, 0.375039},
445  {-0.386187, 0.891007, 0.238677},
446  {-0.264083, 0.916244, 0.301259},
447  {-0.132792, 0.966393 , 0.220117},
448  {-0.133071, 0.987688, 0.0822425},
449  {-0.606825, 0.758652, 0.237086},
450  {-0.62024, 0.780204, 0.0811419},
451  {-0.519258, 0.840178, 0.156434},
452  {-0.783843, 0.615642, 0.0810863},
453  {- 0.783843, 0.615642, -0.0810863},
454  {-0.711282, 0.702907, -1.60812e-16},
455  {-0.62024, 0.780204, -0.0811419},
456  {-0.606825, 0.758652, -0.237086},
457  {-0.519258, 0.840178, -0.156434},
458  {-0.133071, 0.987688 , -0.0822425},
459  {-0.132792, 0.966393, -0.220117},
460  {-0.386187, 0.891007, -0.238677},
461  {-0.383614, 0.843911, -0.375039},
462  {-0.264083, 0.916244, -0.301259},
463  {-0.131655, 0.924305, -0.358229},
464  {-0.1312, 0.864929, -0.484442},
465  {-0.399607, 0.912982, 0.0823236},
466  {-0.399607, 0.912982, -0.0823236},
467  {-0.266405, 0.963861, -1.60812e-16},
468  {0.1312, -0.864929, 0.484442},
469  {0.131655, -0.924305 , 0.358229},
470  {5.60302e-17, -0.915043, 0.403355},
471  {0.383614, -0.843911, 0.375039},
472  {0.386187, -0.891007, 0.238677},
473  {0.264083, -0.916244, 0.301259},
474  {0.132792, -0.966393, 0.220117},
475  { 0.133071, -0.987688, 0.0822425},
476  {6.06469e-17, -0.990439, 0.137952},
477  {0.606825, -0.758652, 0.237086},
478  {0.62024, -0.780204, 0.0811419},
479  {0.519258, -0.840178, 0.156434},
480  {0.783843, -0.615642 , 0.0810863},
481  {0.783843, -0.615642, -0.0810863},
482  {0.711282, -0.702907, -1.60812e-16},
483  {0.62024, -0.780204, -0.0811419},
484  {0.606825, -0.758652, -0.237086},
485  {0.519258, -0.840178, -0.156434},
486  {0.133071, -0.987688, -0.0822425},
487  {0.132792, -0.966393, -0.220117},
488  {6.06469e-17, -0.990439, -0.137952},
489  {0.386187, -0.891007, -0.238677},
490  {0.383614, -0.843911, -0.375039},
491  {0.264083 , -0.916244, -0.301259},
492  {0.131655, -0.924305, -0.358229},
493  {0.1312, -0.864929, -0.484442},
494  {5.60302e-17, -0.915043, -0.403355},
495  {0.399607, -0.912982, 0.0823236},
496  {0.399607, -0.912982, -0.0823236 },
497  {0.266405, -0.963861, -1.60812e-16},
498  {-0.131655, -0.924305, 0.358229},
499  {-0.1312, -0.864929, 0.484442},
500  {-0.133071, -0.987688, 0.0822425},
501  {-0.132792, -0.966393, 0.220117},
502  {-0.264083 , -0.916244, 0.301259},
503  {-0.386187, -0.891007, 0.238677},
504  {-0.383614, -0.843911, 0.375039},
505  {-0.132792, -0.966393, -0.220117},
506  {-0.133071, -0.987688, -0.0822425},
507  {-0.1312, -0.864929, -0.484442 },
508  {-0.131655, -0.924305, -0.358229},
509  {-0.264083, -0.916244, -0.301259},
510  {-0.383614, -0.843911, -0.375039},
511  {-0.386187, -0.891007, -0.238677},
512  {-0.519258, -0.840178, 0.156434},
513  {- 0.62024, -0.780204, 0.0811419},
514  {-0.606825, -0.758652, 0.237086},
515  {-0.519258, -0.840178, -0.156434},
516  {-0.606825, -0.758652, -0.237086},
517  {-0.62024, -0.780204, -0.0811419},
518  {-0.711282, -0.702907 , -1.60812e-16},
519  {-0.783843, -0.615642, -0.0810863},
520  {-0.783843, -0.615642, 0.0810863},
521  {-0.266405, -0.963861, -1.60812e-16},
522  {-0.399607, -0.912982, -0.0823236},
523  {-0.399607, -0.912982, 0.0823236 },
524  {0.213023, 0.792649, 0.571252},
525  {0.46843, 0.757935, 0.453991},
526  {0.346153, 0.783452, 0.516122},
527  {0.296005, 0.70231, 0.647412},
528  {0.371748, 0.601501, 0.707107},
529  {0.70231, 0.647412 , 0.296005},
530  {0.601501, 0.707107, 0.371748},
531  {0.792649, 0.571252, 0.213023},
532  {0.783452, 0.516122, 0.346153},
533  {0.757935, 0.453991, 0.46843},
534  {0.453991, 0.46843, 0.757935},
535  {0.516122 , 0.346153, 0.783452},
536  {0.707107, 0.371748, 0.601501},
537  {0.647412, 0.296005, 0.70231},
538  {0.571252, 0.213023, 0.792649},
539  {0.564254, 0.646578, 0.513375},
540  {0.646578, 0.513375, 0.564254},
541  { 0.513375, 0.564254, 0.646578},
542  {0.213023, 0.792649, -0.571252},
543  {0.371748, 0.601501, -0.707107},
544  {0.296005, 0.70231, -0.647412},
545  {0.346153, 0.783452, -0.516122},
546  {0.46843, 0.757935, -0.453991 },
547  {0.516122, 0.346153, -0.783452},
548  {0.453991, 0.46843, -0.757935},
549  {0.571252, 0.213023, -0.792649},
550  {0.647412, 0.296005, -0.70231},
551  {0.707107, 0.371748, -0.601501},
552  {0.601501, 0.707107 , -0.371748},
553  {0.70231, 0.647412, -0.296005},
554  {0.757935, 0.453991, -0.46843},
555  {0.783452, 0.516122, -0.346153},
556  {0.792649, 0.571252, -0.213023},
557  {0.513375, 0.564254, -0.646578},
558  {0.646578 , 0.513375, -0.564254},
559  {0.564254, 0.646578, -0.513375},
560  {0.571252, -0.213023, 0.792649},
561  {0.707107, -0.371748, 0.601501},
562  {0.647412, -0.296005, 0.70231},
563  {0.516122, -0.346153, 0.783452},
564  {0.453991, -0.46843, 0.757935},
565  {0.783452, -0.516122, 0.346153},
566  {0.757935, -0.453991, 0.46843},
567  {0.792649, -0.571252, 0.213023},
568  {0.70231, -0.647412, 0.296005},
569  {0.601501, -0.707107 , 0.371748},
570  {0.371748, -0.601501, 0.707107},
571  {0.296005, -0.70231, 0.647412},
572  {0.46843, -0.757935, 0.453991},
573  {0.346153, -0.783452, 0.516122},
574  {0.213023, -0.792649, 0.571252},
575  {0.646578 , -0.513375, 0.564254},
576  {0.564254, -0.646578, 0.513375},
577  {0.513375, -0.564254, 0.646578},
578  {0.571252, -0.213023, -0.792649},
579  {0.453991, -0.46843, -0.757935},
580  {0.516122, -0.346153, -0.783452 },
581  {0.647412, -0.296005, -0.70231},
582  {0.707107, -0.371748, -0.601501},
583  {0.296005, -0.70231, -0.647412},
584  {0.371748, -0.601501, -0.707107},
585  {0.213023, -0.792649, -0.571252},
586  {0.346153 , -0.783452, -0.516122},
587  {0.46843, -0.757935, -0.453991},
588  {0.757935, -0.453991, -0.46843},
589  {0.783452, -0.516122, -0.346153},
590  {0.601501, -0.707107, -0.371748},
591  {0.70231, -0.647412, -0.296005 },
592  {0.792649, -0.571252, -0.213023},
593  {0.513375, -0.564254, -0.646578},
594  {0.564254, -0.646578, -0.513375},
595  {0.646578, -0.513375, -0.564254},
596  {-0.571252, 0.213023, 0.792649},
597  {-0.707107 , 0.371748, 0.601501},
598  {-0.647412, 0.296005, 0.70231},
599  {-0.516122, 0.346153, 0.783452},
600  {-0.453991, 0.46843, 0.757935},
601  {-0.783452, 0.516122, 0.346153},
602  {-0.757935, 0.453991, 0.46843},
603  {-0.792649, 0.571252, 0.213023},
604  {-0.70231, 0.647412, 0.296005},
605  {-0.601501, 0.707107, 0.371748},
606  {-0.371748, 0.601501, 0.707107},
607  {-0.296005, 0.70231, 0.647412},
608  {-0.46843, 0.757935 , 0.453991},
609  {-0.346153, 0.783452, 0.516122},
610  {-0.213023, 0.792649, 0.571252},
611  {-0.646578, 0.513375, 0.564254},
612  {-0.564254, 0.646578, 0.513375},
613  {-0.513375, 0.564254, 0.646578},
614  {- 0.571252, 0.213023, -0.792649},
615  {-0.453991, 0.46843, -0.757935},
616  {-0.516122, 0.346153, -0.783452},
617  {-0.647412, 0.296005, -0.70231},
618  {-0.707107, 0.371748, -0.601501},
619  {-0.296005, 0.70231, - 0.647412},
620  {-0.371748, 0.601501, -0.707107},
621  {-0.213023, 0.792649, -0.571252},
622  {-0.346153, 0.783452, -0.516122},
623  {-0.46843, 0.757935, -0.453991},
624  {-0.757935, 0.453991, -0.46843},
625  {- 0.783452, 0.516122, -0.346153},
626  {-0.601501, 0.707107, -0.371748},
627  {-0.70231, 0.647412, -0.296005},
628  {-0.792649, 0.571252, -0.213023},
629  {-0.513375, 0.564254, -0.646578},
630  {-0.564254, 0.646578 , -0.513375},
631  {-0.646578, 0.513375, -0.564254},
632  {-0.571252, -0.213023, 0.792649},
633  {-0.453991, -0.46843, 0.757935},
634  {-0.516122, -0.346153, 0.783452},
635  {-0.647412, -0.296005, 0.70231},
636  {- 0.707107, -0.371748, 0.601501},
637  {-0.296005, -0.70231, 0.647412},
638  {-0.371748, -0.601501, 0.707107},
639  {-0.213023, -0.792649, 0.571252},
640  {-0.346153, -0.783452, 0.516122},
641  {-0.46843, -0.757935 , 0.453991},
642  {-0.757935, -0.453991, 0.46843},
643  {-0.783452, -0.516122, 0.346153},
644  {-0.601501, -0.707107, 0.371748},
645  {-0.70231, -0.647412, 0.296005},
646  {-0.792649, -0.571252, 0.213023},
647  {- 0.513375, -0.564254, 0.646578},
648  {-0.564254, -0.646578, 0.513375},
649  {-0.646578, -0.513375, 0.564254},
650  {-0.571252, -0.213023, -0.792649},
651  {-0.707107, -0.371748, -0.601501},
652  {-0.647412, -0.296005 , -0.70231},
653  {-0.516122, -0.346153, -0.783452},
654  {-0.453991, -0.46843, -0.757935},
655  {-0.783452, -0.516122, -0.346153},
656  {-0.757935, -0.453991, -0.46843},
657  {-0.792649, -0.571252, -0.213023},
658  {-0.70231, -0.647412, -0.296005},
659  {-0.601501, -0.707107, -0.371748},
660  {-0.371748, -0.601501, -0.707107},
661  {-0.296005, -0.70231, -0.647412},
662  {-0.46843, -0.757935, -0.453991},
663  {-0.346153 , -0.783452, -0.516122},
664  {-0.213023, -0.792649, -0.571252},
665  {-0.646578, -0.513375, -0.564254},
666  {-0.564254, -0.646578, -0.513375},
667  {-0.513375, -0.564254, -0.646578},
668  {0.465658, 0, 0.884965 },
669  {0.445365, 0.0658169, 0.892927},
670  {0.506298, 0.0657576, 0.859848},
671  {0.339123, 0, 0.940742},
672  {0.316778, 0.0660424, 0.946198},
673  {0.381722, 0.0659884, 0.921919},
674  {0.422364, 0.131749 , 0.896801},
675  {0.397351, 0.196412, 0.896401},
676  {0.460267, 0.196015, 0.865871},
677  {0.206103, 0, 0.97853},
678  {0.179596, 0.0666044, 0.981483},
679  {0.247326, 0.0665669, 0.966643},
680  {0.0691416, 0, 0.997607},
681  {0.0412484, 0.0667413, 0.996917},
682  {0.110385, 0.0667094, 0.991648},
683  {0.151549, 0.133256, 0.979426},
684  {0.122729, 0.19858, 0.97237},
685  {0.19178, 0.198337, 0.961188},
686  {0.368518 , 0.262661, 0.891742},
687  {0.339209, 0.324864, 0.882837},
688  {0.405434, 0.322525, 0.855337},
689  {0.232455, 0.264151, 0.93605},
690  {0.201189, 0.32553, 0.92388},
691  {0.270627, 0.325929, 0.905832},
692  { 0.307659, 0.385906, 0.869725},
693  {0.274694, 0.444464, 0.85264},
694  {0.342848, 0.442867, 0.828447},
695  {0.289929, 0.13257, 0.947822},
696  {0.26155, 0.199094, 0.944433},
697  {0.330607, 0.198387, 0.922682},
698  {-0.0691416, 8.4674e-18, 0.997607},
699  {-0.110385, 0.0667094, 0.991648},
700  {-0.0412484, 0.0667413, 0.996917},
701  {-0.206103, 2.52403e-17, 0.97853},
702  {-0.247326, 0.0665669, 0.966643},
703  {-0.179596 , 0.0666044, 0.981483},
704  {-0.151549, 0.133256, 0.979426},
705  {-0.19178, 0.198337, 0.961188},
706  {-0.122729, 0.19858, 0.97237},
707  {-0.339123, 4.15305e-17, 0.940742},
708  {-0.381722, 0.0659884, 0.921919 },
709  {-0.316778, 0.0660424, 0.946198},
710  {-0.465658, 5.70266e-17, 0.884965},
711  {-0.506298, 0.0657576, 0.859848},
712  {-0.445365, 0.0658169, 0.892927},
713  {-0.422364, 0.131749, 0.896801},
714  {-0.460267 , 0.196015, 0.865871},
715  {-0.397351, 0.196412, 0.896401},
716  {-0.232455, 0.264151, 0.93605},
717  {-0.270627, 0.325929, 0.905832},
718  {-0.201189, 0.32553, 0.92388},
719  {-0.368518, 0.262661, 0.891742},
720  {-0.405434, 0.322525, 0.855337},
721  {-0.339209, 0.324864, 0.882837},
722  {-0.307659, 0.385906, 0.869725},
723  {-0.342848, 0.442867, 0.828447},
724  {-0.274694, 0.444464, 0.85264},
725  {-0.289929, 0.13257 , 0.947822},
726  {-0.330607, 0.198387, 0.922682},
727  {-0.26155, 0.199094, 0.944433},
728  {0.233445, 0.511205, 0.827147},
729  {0.197274, 0.564513, 0.801504},
730  {0.273707, 0.55474, 0.785715},
731  {0.0784591 , 0.52411, 0.848029},
732  {0.0406752, 0.574458, 0.817523},
733  {0.119078, 0.57114, 0.812169},
734  {0.159613, 0.615456, 0.771841},
735  {0.121193, 0.662842, 0.738886},
736  {0.199331, 0.656006, 0.727958},
737  {- 0.0784591, 0.52411, 0.848029},
738  {-0.119078, 0.57114, 0.812169},
739  {-0.0406752, 0.574458, 0.817523},
740  {-0.233445, 0.511205, 0.827147},
741  {-0.273707, 0.55474, 0.785715},
742  {-0.197274, 0.564513, 0.801504 },
743  {-0.159613, 0.615456, 0.771841},
744  {-0.199331, 0.656006, 0.727958},
745  {-0.121193, 0.662842, 0.738886},
746  {0.080573, 0.708969, 0.700622},
747  {0.0406421, 0.749387, 0.660884},
748  {0.121144, 0.744727 , 0.656282},
749  {-0.080573, 0.708969, 0.700622},
750  {-0.121144, 0.744727, 0.656282},
751  {-0.0406421, 0.749387, 0.660884},
752  {-1.26468e-16, 0.786433, 0.617676},
753  {-0.0406404, 0.819207, 0.572056},
754  {0.0406404, 0.819207, 0.572056},
755  {-1.00072e-16, 0.622292, 0.782786},
756  {-0.0406771, 0.667502, 0.743496},
757  {0.0406771, 0.667502, 0.743496},
758  {-2.14722e-17, 0.133523, 0.991046},
759  {-0.0815011 , 0.265518, 0.960655},
760  {-0.0412509, 0.200368, 0.978852},
761  {0.0412509, 0.200368, 0.978852},
762  {0.0815011, 0.265518, 0.960655},
763  {-0.161006, 0.394136, 0.904839},
764  {-0.1228, 0.332342, 0.93513},
765  {-0.198227, 0.454262, 0.868534},
766  {-0.119755, 0.460882, 0.879345},
767  {-0.0412992, 0.464213, 0.88476},
768  {0.1228, 0.332342, 0.93513},
769  {0.161006, 0.394136, 0.904839},
770  {0.0412992, 0.464213, 0.88476},
771  {0.119755, 0.460882, 0.879345},
772  {0.198227, 0.454262, 0.868534},
773  {-0.041302, 0.33414, 0.941618},
774  {-6.44806e-17, 0.400968, 0.916092},
775  {0.041302, 0.33414, 0.941618},
776  {0.506298 , -0.0657576, 0.859848},
777  {0.445365, -0.0658169, 0.892927},
778  {0.460267, -0.196015, 0.865871},
779  {0.397351, -0.196412, 0.896401},
780  {0.422364, -0.131749, 0.896801},
781  {0.381722, -0.0659884, 0.921919 },
782  {0.316778, -0.0660424, 0.946198},
783  {0.405434, -0.322525, 0.855337},
784  {0.339209, -0.324864, 0.882837},
785  {0.368518, -0.262661, 0.891742},
786  {0.342848, -0.442867, 0.828447},
787  {0.274694, - 0.444464, 0.85264},
788  {0.307659, -0.385906, 0.869725},
789  {0.270627, -0.325929, 0.905832},
790  {0.201189, -0.32553, 0.92388},
791  {0.232455, -0.264151, 0.93605},
792  {0.247326, -0.0665669, 0.966643},
793  {0.179596, -0.0666044, 0.981483},
794  {0.19178, -0.198337, 0.961188},
795  {0.122729, -0.19858, 0.97237},
796  {0.151549, -0.133256, 0.979426},
797  {0.110385, -0.0667094, 0.991648},
798  {0.0412484, -0.0667413 , 0.996917},
799  {0.330607, -0.198387, 0.922682},
800  {0.26155, -0.199094, 0.944433},
801  {0.289929, -0.13257, 0.947822},
802  {0.273707, -0.55474, 0.785715},
803  {0.197274, -0.564513, 0.801504},
804  {0.233445 , -0.511205, 0.827147},
805  {0.199331, -0.656006, 0.727958},
806  {0.121193, -0.662842, 0.738886},
807  {0.159613, -0.615456, 0.771841},
808  {0.119078, -0.57114, 0.812169},
809  {0.0406752, -0.574458, 0.817523 },
810  {0.0784591, -0.52411, 0.848029},
811  {0.121144, -0.744727, 0.656282},
812  {0.0406421, -0.749387, 0.660884},
813  {0.080573, -0.708969, 0.700622},
814  {0.0406404, -0.819207, 0.572056},
815  {-0.0406404 , -0.819207, 0.572056},
816  {-1.26468e-16, -0.786433, 0.617676},
817  {-0.0406421, -0.749387, 0.660884},
818  {-0.121144, -0.744727, 0.656282},
819  {-0.080573, -0.708969, 0.700622},
820  {-0.0406752, -0.574458 , 0.817523},
821  {-0.119078, -0.57114, 0.812169},
822  {-0.0784591, -0.52411, 0.848029},
823  {-0.121193, -0.662842, 0.738886},
824  {-0.199331, -0.656006, 0.727958},
825  {-0.159613, -0.615456, 0.771841},
826  {- 0.197274, -0.564513, 0.801504},
827  {-0.273707, -0.55474, 0.785715},
828  {-0.233445, -0.511205, 0.827147},
829  {0.0406771, -0.667502, 0.743496},
830  {-0.0406771, -0.667502, 0.743496},
831  {-1.00072e-16, -0.622292 , 0.782786},
832  {-0.0412484, -0.0667413, 0.996917},
833  {-0.110385, -0.0667094, 0.991648},
834  {-0.122729, -0.19858, 0.97237},
835  {-0.19178, -0.198337, 0.961188},
836  {-0.151549, -0.133256, 0.979426},
837  {-0.179596, -0.0666044, 0.981483},
838  {-0.247326, -0.0665669, 0.966643},
839  {-0.201189, -0.32553, 0.92388},
840  {-0.270627, -0.325929, 0.905832},
841  {-0.232455, -0.264151, 0.93605},
842  {-0.274694, - 0.444464, 0.85264},
843  {-0.342848, -0.442867, 0.828447},
844  {-0.307659, -0.385906, 0.869725},
845  {-0.339209, -0.324864, 0.882837},
846  {-0.405434, -0.322525, 0.855337},
847  {-0.368518, -0.262661, 0.891742 },
848  {-0.316778, -0.0660424, 0.946198},
849  {-0.381722, -0.0659884, 0.921919},
850  {-0.397351, -0.196412, 0.896401},
851  {-0.460267, -0.196015, 0.865871},
852  {-0.422364, -0.131749, 0.896801},
853  {-0.445365 , -0.0658169, 0.892927},
854  {-0.506298, -0.0657576, 0.859848},
855  {-0.26155, -0.199094, 0.944433},
856  {-0.330607, -0.198387, 0.922682},
857  {-0.289929, -0.13257, 0.947822},
858  {0.198227, -0.454262, 0.868534 },
859  {0.0412992, -0.464213, 0.88476},
860  {0.119755, -0.460882, 0.879345},
861  {0.161006, -0.394136, 0.904839},
862  {0.1228, -0.332342, 0.93513},
863  {-0.119755, -0.460882, 0.879345},
864  {-0.0412992, - 0.464213, 0.88476},
865  {-0.198227, -0.454262, 0.868534},
866  {-0.161006, -0.394136, 0.904839},
867  {-0.1228, -0.332342, 0.93513},
868  {0.0815011, -0.265518, 0.960655},
869  {0.0412509, -0.200368, 0.978852},
870  {-0.0815011, -0.265518, 0.960655},
871  {-0.0412509, -0.200368, 0.978852},
872  {-2.14722e-17, -0.133523, 0.991046},
873  {-6.44806e-17, -0.400968, 0.916092},
874  {-0.041302, -0.33414, 0.941618},
875  { 0.041302, -0.33414, 0.941618},
876  {0.506298, 0.0657576, -0.859848},
877  {0.445365, 0.0658169, -0.892927},
878  {0.465658, 0, -0.884965},
879  {0.460267, 0.196015, -0.865871},
880  {0.397351, 0.196412, -0.896401 },
881  {0.422364, 0.131749, -0.896801},
882  {0.381722, 0.0659884, -0.921919},
883  {0.316778, 0.0660424, -0.946198},
884  {0.339123, 0, -0.940742},
885  {0.405434, 0.322525, -0.855337},
886  {0.339209, 0.324864 , -0.882837},
887  {0.368518, 0.262661, -0.891742},
888  {0.342848, 0.442867, -0.828447},
889  {0.274694, 0.444464, -0.85264},
890  {0.307659, 0.385906, -0.869725},
891  {0.270627, 0.325929, -0.905832},
892  { 0.201189, 0.32553, -0.92388},
893  {0.232455, 0.264151, -0.93605},
894  {0.247326, 0.0665669, -0.966643},
895  {0.179596, 0.0666044, -0.981483},
896  {0.206103, 0, -0.97853},
897  {0.19178, 0.198337, -0.961188},
898  {0.122729, 0.19858, -0.97237},
899  {0.151549, 0.133256, -0.979426},
900  {0.110385, 0.0667094, -0.991648},
901  {0.0412484, 0.0667413, -0.996917},
902  {0.0691416, 0, -0.997607},
903  {0.330607, 0.198387 , -0.922682},
904  {0.26155, 0.199094, -0.944433},
905  {0.289929, 0.13257, -0.947822},
906  {0.273707, 0.55474, -0.785715},
907  {0.197274, 0.564513, -0.801504},
908  {0.233445, 0.511205, -0.827147},
909  {0.199331 , 0.656006, -0.727958},
910  {0.121193, 0.662842, -0.738886},
911  {0.159613, 0.615456, -0.771841},
912  {0.119078, 0.57114, -0.812169},
913  {0.0406752, 0.574458, -0.817523},
914  {0.0784591, 0.52411, -0.848029 },
915  {0.121144, 0.744727, -0.656282},
916  {0.0406421, 0.749387, -0.660884},
917  {0.080573, 0.708969, -0.700622},
918  {0.0406404, 0.819207, -0.572056},
919  {-0.0406404, 0.819207, -0.572056},
920  {-1.26468e-16 , 0.786433, -0.617676},
921  {-0.0406421, 0.749387, -0.660884},
922  {-0.121144, 0.744727, -0.656282},
923  {-0.080573, 0.708969, -0.700622},
924  {-0.0406752, 0.574458, -0.817523},
925  {-0.119078, 0.57114, -0.812169 },
926  {-0.0784591, 0.52411, -0.848029},
927  {-0.121193, 0.662842, -0.738886},
928  {-0.199331, 0.656006, -0.727958},
929  {-0.159613, 0.615456, -0.771841},
930  {-0.197274, 0.564513, -0.801504},
931  {-0.273707 , 0.55474, -0.785715},
932  {-0.233445, 0.511205, -0.827147},
933  {0.0406771, 0.667502, -0.743496},
934  {-0.0406771, 0.667502, -0.743496},
935  {-1.00072e-16, 0.622292, -0.782786},
936  {-0.0412484, 0.0667413, - 0.996917},
937  {-0.110385, 0.0667094, -0.991648},
938  {-0.0691416, 8.4674e-18, -0.997607},
939  {-0.122729, 0.19858, -0.97237},
940  {-0.19178, 0.198337, -0.961188},
941  {-0.151549, 0.133256, -0.979426},
942  {- 0.179596, 0.0666044, -0.981483},
943  {-0.247326, 0.0665669, -0.966643},
944  {-0.206103, 2.52403e-17, -0.97853},
945  {-0.201189, 0.32553, -0.92388},
946  {-0.270627, 0.325929, -0.905832},
947  {-0.232455, 0.264151 , -0.93605},
948  {-0.274694, 0.444464, -0.85264},
949  {-0.342848, 0.442867, -0.828447},
950  {-0.307659, 0.385906, -0.869725},
951  {-0.339209, 0.324864, -0.882837},
952  {-0.405434, 0.322525, -0.855337},
953  {- 0.368518, 0.262661, -0.891742},
954  {-0.316778, 0.0660424, -0.946198},
955  {-0.381722, 0.0659884, -0.921919},
956  {-0.339123, 4.15305e-17, -0.940742},
957  {-0.397351, 0.196412, -0.896401},
958  {-0.460267, 0.196015 , -0.865871},
959  {-0.422364, 0.131749, -0.896801},
960  {-0.445365, 0.0658169, -0.892927},
961  {-0.506298, 0.0657576, -0.859848},
962  {-0.465658, 5.70266e-17, -0.884965},
963  {-0.26155, 0.199094, -0.944433},
964  {-0.330607, 0.198387, -0.922682},
965  {-0.289929, 0.13257, -0.947822},
966  {0.198227, 0.454262, -0.868534},
967  {0.0412992, 0.464213, -0.88476},
968  {0.119755, 0.460882, -0.879345},
969  {0.161006, 0.394136 , -0.904839},
970  {0.1228, 0.332342, -0.93513},
971  {-0.119755, 0.460882, -0.879345},
972  {-0.0412992, 0.464213, -0.88476},
973  {-0.198227, 0.454262, -0.868534},
974  {-0.161006, 0.394136, -0.904839},
975  {- 0.1228, 0.332342, -0.93513},
976  {0.0815011, 0.265518, -0.960655},
977  {0.0412509, 0.200368, -0.978852},
978  {-0.0815011, 0.265518, -0.960655},
979  {-0.0412509, 0.200368, -0.978852},
980  {3.78241e-17, 0.133523 , -0.991046},
981  {-6.44806e-17, 0.400968, -0.916092},
982  {-0.041302, 0.33414, -0.941618},
983  {0.041302, 0.33414, -0.941618},
984  {0.445365, -0.0658169, -0.892927},
985  {0.506298, -0.0657576, -0.859848},
986  {0.316778, -0.0660424, -0.946198},
987  {0.381722, -0.0659884, -0.921919},
988  {0.422364, -0.131749, -0.896801},
989  {0.397351, -0.196412, -0.896401},
990  {0.460267, -0.196015, -0.865871},
991  {0.179596, - 0.0666044, -0.981483},
992  {0.247326, -0.0665669, -0.966643},
993  {0.0412484, -0.0667413, -0.996917},
994  {0.110385, -0.0667094, -0.991648},
995  {0.151549, -0.133256, -0.979426},
996  {0.122729, -0.19858, -0.97237 },
997  {0.19178, -0.198337, -0.961188},
998  {0.368518, -0.262661, -0.891742},
999  {0.339209, -0.324864, -0.882837},
1000  {0.405434, -0.322525, -0.855337},
1001  {0.232455, -0.264151, -0.93605},
1002  {0.201189 , -0.32553, -0.92388},
1003  {0.270627, -0.325929, -0.905832},
1004  {0.307659, -0.385906, -0.869725},
1005  {0.274694, -0.444464, -0.85264},
1006  {0.342848, -0.442867, -0.828447},
1007  {0.289929, -0.13257, -0.947822 },
1008  {0.26155, -0.199094, -0.944433},
1009  {0.330607, -0.198387, -0.922682},
1010  {-0.110385, -0.0667094, -0.991648},
1011  {-0.0412484, -0.0667413, -0.996917},
1012  {-0.247326, -0.0665669, -0.966643},
1013  {- 0.179596, -0.0666044, -0.981483},
1014  {-0.151549, -0.133256, -0.979426},
1015  {-0.19178, -0.198337, -0.961188},
1016  {-0.122729, -0.19858, -0.97237},
1017  {-0.381722, -0.0659884, -0.921919},
1018  {-0.316778, -0.0660424 , -0.946198},
1019  {-0.506298, -0.0657576, -0.859848},
1020  {-0.445365, -0.0658169, -0.892927},
1021  {-0.422364, -0.131749, -0.896801},
1022  {-0.460267, -0.196015, -0.865871},
1023  {-0.397351, -0.196412, -0.896401 },
1024  {-0.232455, -0.264151, -0.93605},
1025  {-0.270627, -0.325929, -0.905832},
1026  {-0.201189, -0.32553, -0.92388},
1027  {-0.368518, -0.262661, -0.891742},
1028  {-0.405434, -0.322525, -0.855337},
1029  {-0.339209 , -0.324864, -0.882837},
1030  {-0.307659, -0.385906, -0.869725},
1031  {-0.342848, -0.442867, -0.828447},
1032  {-0.274694, -0.444464, -0.85264},
1033  {-0.289929, -0.13257, -0.947822},
1034  {-0.330607, -0.198387, - 0.922682},
1035  {-0.26155, -0.199094, -0.944433},
1036  {0.233445, -0.511205, -0.827147},
1037  {0.197274, -0.564513, -0.801504},
1038  {0.273707, -0.55474, -0.785715},
1039  {0.0784591, -0.52411, -0.848029},
1040  { 0.0406752, -0.574458, -0.817523},
1041  {0.119078, -0.57114, -0.812169},
1042  {0.159613, -0.615456, -0.771841},
1043  {0.121193, -0.662842, -0.738886},
1044  {0.199331, -0.656006, -0.727958},
1045  {-0.0784591, -0.52411 , -0.848029},
1046  {-0.119078, -0.57114, -0.812169},
1047  {-0.0406752, -0.574458, -0.817523},
1048  {-0.233445, -0.511205, -0.827147},
1049  {-0.273707, -0.55474, -0.785715},
1050  {-0.197274, -0.564513, -0.801504},
1051  {-0.159613, -0.615456, -0.771841},
1052  {-0.199331, -0.656006, -0.727958},
1053  {-0.121193, -0.662842, -0.738886},
1054  {0.080573, -0.708969, -0.700622},
1055  {0.0406421, -0.749387, -0.660884},
1056  {0.121144 , -0.744727, -0.656282},
1057  {-0.080573, -0.708969, -0.700622},
1058  {-0.121144, -0.744727, -0.656282},
1059  {-0.0406421, -0.749387, -0.660884},
1060  {-1.26468e-16, -0.786433, -0.617676},
1061  {-0.0406404, -0.819207 , -0.572056},
1062  {0.0406404, -0.819207, -0.572056},
1063  {-1.00072e-16, -0.622292, -0.782786},
1064  {-0.0406771, -0.667502, -0.743496},
1065  {0.0406771, -0.667502, -0.743496},
1066  {3.78241e-17, -0.133523, -0.991046 },
1067  {-0.0815011, -0.265518, -0.960655},
1068  {-0.0412509, -0.200368, -0.978852},
1069  {0.0412509, -0.200368, -0.978852},
1070  {0.0815011, -0.265518, -0.960655},
1071  {-0.161006, -0.394136, -0.904839},
1072  {- 0.1228, -0.332342, -0.93513},
1073  {-0.198227, -0.454262, -0.868534},
1074  {-0.119755, -0.460882, -0.879345},
1075  {-0.0412992, -0.464213, -0.88476},
1076  {0.1228, -0.332342, -0.93513},
1077  {0.161006, -0.394136 , -0.904839},
1078  {0.0412992, -0.464213, -0.88476},
1079  {0.119755, -0.460882, -0.879345},
1080  {0.198227, -0.454262, -0.868534},
1081  {-0.041302, -0.33414, -0.941618},
1082  {-6.44806e-17, -0.400968, -0.916092},
1083  {0.041302, -0.33414, -0.941618},
1084  {0.884965, 0.465658, 6.12323e-17},
1085  {0.892927, 0.445365, 0.0658169},
1086  {0.859848, 0.506298, 0.0657576},
1087  {0.940742, 0.339123, 6.12323e-17},
1088  {0.946198 , 0.316778, 0.0660424},
1089  {0.921919, 0.381722, 0.0659884},
1090  {0.896801, 0.422364, 0.131749},
1091  {0.896401, 0.397351, 0.196412},
1092  {0.865871, 0.460267, 0.196015},
1093  {0.97853, 0.206103, 6.12323e-17},
1094  {0.981483, 0.179596, 0.0666044},
1095  {0.966643, 0.247326, 0.0665669},
1096  {0.997607, 0.0691416, 6.12323e-17},
1097  {0.996917, 0.0412484, 0.0667413},
1098  {0.991648, 0.110385, 0.0667094},
1099  {0.979426 , 0.151549, 0.133256},
1100  {0.97237, 0.122729, 0.19858},
1101  {0.961188, 0.19178, 0.198337},
1102  {0.891742, 0.368518, 0.262661},
1103  {0.882837, 0.339209, 0.324864},
1104  {0.855337, 0.405434, 0.322525},
1105  { 0.93605, 0.232455, 0.264151},
1106  {0.92388, 0.201189, 0.32553},
1107  {0.905832, 0.270627, 0.325929},
1108  {0.869725, 0.307659, 0.385906},
1109  {0.85264, 0.274694, 0.444464},
1110  {0.828447, 0.342848, 0.442867},
1111  {0.947822, 0.289929, 0.13257},
1112  {0.944433, 0.26155, 0.199094},
1113  {0.922682, 0.330607, 0.198387},
1114  {0.997607, -0.0691416, 6.12323e-17},
1115  {0.991648, -0.110385, 0.0667094},
1116  {0.996917, -0.0412484 , 0.0667413},
1117  {0.97853, -0.206103, 6.12323e-17},
1118  {0.966643, -0.247326, 0.0665669},
1119  {0.981483, -0.179596, 0.0666044},
1120  {0.979426, -0.151549, 0.133256},
1121  {0.961188, -0.19178, 0.198337},
1122  { 0.97237, -0.122729, 0.19858},
1123  {0.940742, -0.339123, 6.12323e-17},
1124  {0.921919, -0.381722, 0.0659884},
1125  {0.946198, -0.316778, 0.0660424},
1126  {0.884965, -0.465658, 6.12323e-17},
1127  {0.859848, -0.506298 , 0.0657576},
1128  {0.892927, -0.445365, 0.0658169},
1129  {0.896801, -0.422364, 0.131749},
1130  {0.865871, -0.460267, 0.196015},
1131  {0.896401, -0.397351, 0.196412},
1132  {0.93605, -0.232455, 0.264151},
1133  { 0.905832, -0.270627, 0.325929},
1134  {0.92388, -0.201189, 0.32553},
1135  {0.891742, -0.368518, 0.262661},
1136  {0.855337, -0.405434, 0.322525},
1137  {0.882837, -0.339209, 0.324864},
1138  {0.869725, -0.307659, 0.385906 },
1139  {0.828447, -0.342848, 0.442867},
1140  {0.85264, -0.274694, 0.444464},
1141  {0.947822, -0.289929, 0.13257},
1142  {0.922682, -0.330607, 0.198387},
1143  {0.944433, -0.26155, 0.199094},
1144  {0.827147, 0.233445 , 0.511205},
1145  {0.801504, 0.197274, 0.564513},
1146  {0.785715, 0.273707, 0.55474},
1147  {0.848029, 0.0784591, 0.52411},
1148  {0.817523, 0.0406752, 0.574458},
1149  {0.812169, 0.119078, 0.57114},
1150  {0.771841 , 0.159613, 0.615456},
1151  {0.738886, 0.121193, 0.662842},
1152  {0.727958, 0.199331, 0.656006},
1153  {0.848029, -0.0784591, 0.52411},
1154  {0.812169, -0.119078, 0.57114},
1155  {0.817523, -0.0406752, 0.574458},
1156  {0.827147, -0.233445, 0.511205},
1157  {0.785715, -0.273707, 0.55474},
1158  {0.801504, -0.197274, 0.564513},
1159  {0.771841, -0.159613, 0.615456},
1160  {0.727958, -0.199331, 0.656006},
1161  {0.738886, -0.121193 , 0.662842},
1162  {0.700622, 0.080573, 0.708969},
1163  {0.660884, 0.0406421, 0.749387},
1164  {0.656282, 0.121144, 0.744727},
1165  {0.700622, -0.080573, 0.708969},
1166  {0.656282, -0.121144, 0.744727},
1167  {0.660884 , -0.0406421, 0.749387},
1168  {0.617676, 0, 0.786433},
1169  {0.572056, -0.0406404, 0.819207},
1170  {0.572056, 0.0406404, 0.819207},
1171  {0.782786, 0, 0.622292},
1172  {0.743496, -0.0406771, 0.667502},
1173  {0.743496 , 0.0406771, 0.667502},
1174  {0.991046, 0, 0.133523},
1175  {0.960655, -0.0815011, 0.265518},
1176  {0.978852, -0.0412509, 0.200368},
1177  {0.978852, 0.0412509, 0.200368},
1178  {0.960655, 0.0815011, 0.265518},
1179  {0.904839, -0.161006, 0.394136},
1180  {0.93513, -0.1228, 0.332342},
1181  {0.868534, -0.198227, 0.454262},
1182  {0.879345, -0.119755, 0.460882},
1183  {0.88476, -0.0412992, 0.464213},
1184  {0.93513, 0.1228, 0.332342 },
1185  {0.904839, 0.161006, 0.394136},
1186  {0.88476, 0.0412992, 0.464213},
1187  {0.879345, 0.119755, 0.460882},
1188  {0.868534, 0.198227, 0.454262},
1189  {0.941618, -0.041302, 0.33414},
1190  {0.916092, 0, 0.400968 },
1191  {0.941618, 0.041302, 0.33414},
1192  {0.859848, 0.506298, -0.0657576},
1193  {0.892927, 0.445365, -0.0658169},
1194  {0.865871, 0.460267, -0.196015},
1195  {0.896401, 0.397351, -0.196412},
1196  {0.896801, 0.422364, -0.131749},
1197  {0.921919, 0.381722, -0.0659884},
1198  {0.946198, 0.316778, -0.0660424},
1199  {0.855337, 0.405434, -0.322525},
1200  {0.882837, 0.339209, -0.324864},
1201  {0.891742, 0.368518, -0.262661 },
1202  {0.828447, 0.342848, -0.442867},
1203  {0.85264, 0.274694, -0.444464},
1204  {0.869725, 0.307659, -0.385906},
1205  {0.905832, 0.270627, -0.325929},
1206  {0.92388, 0.201189, -0.32553},
1207  {0.93605, 0.232455 , -0.264151},
1208  {0.966643, 0.247326, -0.0665669},
1209  {0.981483, 0.179596, -0.0666044},
1210  {0.961188, 0.19178, -0.198337},
1211  {0.97237, 0.122729, -0.19858},
1212  {0.979426, 0.151549, -0.133256},
1213  { 0.991648, 0.110385, -0.0667094},
1214  {0.996917, 0.0412484, -0.0667413},
1215  {0.922682, 0.330607, -0.198387},
1216  {0.944433, 0.26155, -0.199094},
1217  {0.947822, 0.289929, -0.13257},
1218  {0.785715, 0.273707, - 0.55474},
1219  {0.801504, 0.197274, -0.564513},
1220  {0.827147, 0.233445, -0.511205},
1221  {0.727958, 0.199331, -0.656006},
1222  {0.738886, 0.121193, -0.662842},
1223  {0.771841, 0.159613, -0.615456},
1224  {0.812169 , 0.119078, -0.57114},
1225  {0.817523, 0.0406752, -0.574458},
1226  {0.848029, 0.0784591, -0.52411},
1227  {0.656282, 0.121144, -0.744727},
1228  {0.660884, 0.0406421, -0.749387},
1229  {0.700622, 0.080573, -0.708969 },
1230  {0.572056, 0.0406404, -0.819207},
1231  {0.572056, -0.0406404, -0.819207},
1232  {0.617676, 0, -0.786433},
1233  {0.660884, -0.0406421, -0.749387},
1234  {0.656282, -0.121144, -0.744727},
1235  {0.700622, - 0.080573, -0.708969},
1236  {0.817523, -0.0406752, -0.574458},
1237  {0.812169, -0.119078, -0.57114},
1238  {0.848029, -0.0784591, -0.52411},
1239  {0.738886, -0.121193, -0.662842},
1240  {0.727958, -0.199331, -0.656006 },
1241  {0.771841, -0.159613, -0.615456},
1242  {0.801504, -0.197274, -0.564513},
1243  {0.785715, -0.273707, -0.55474},
1244  {0.827147, -0.233445, -0.511205},
1245  {0.743496, 0.0406771, -0.667502},
1246  {0.743496 , -0.0406771, -0.667502},
1247  {0.782786, 0, -0.622292},
1248  {0.996917, -0.0412484, -0.0667413},
1249  {0.991648, -0.110385, -0.0667094},
1250  {0.97237, -0.122729, -0.19858},
1251  {0.961188, -0.19178, -0.198337},
1252  {0.979426, -0.151549, -0.133256},
1253  {0.981483, -0.179596, -0.0666044},
1254  {0.966643, -0.247326, -0.0665669},
1255  {0.92388, -0.201189, -0.32553},
1256  {0.905832, -0.270627, -0.325929},
1257  {0.93605 , -0.232455, -0.264151},
1258  {0.85264, -0.274694, -0.444464},
1259  {0.828447, -0.342848, -0.442867},
1260  {0.869725, -0.307659, -0.385906},
1261  {0.882837, -0.339209, -0.324864},
1262  {0.855337, -0.405434, -0.322525 },
1263  {0.891742, -0.368518, -0.262661},
1264  {0.946198, -0.316778, -0.0660424},
1265  {0.921919, -0.381722, -0.0659884},
1266  {0.896401, -0.397351, -0.196412},
1267  {0.865871, -0.460267, -0.196015},
1268  {0.896801 , -0.422364, -0.131749},
1269  {0.892927, -0.445365, -0.0658169},
1270  {0.859848, -0.506298, -0.0657576},
1271  {0.944433, -0.26155, -0.199094},
1272  {0.922682, -0.330607, -0.198387},
1273  {0.947822, -0.289929, -0.13257 },
1274  {0.868534, 0.198227, -0.454262},
1275  {0.88476, 0.0412992, -0.464213},
1276  {0.879345, 0.119755, -0.460882},
1277  {0.904839, 0.161006, -0.394136},
1278  {0.93513, 0.1228, -0.332342},
1279  {0.879345, -0.119755 , -0.460882},
1280  {0.88476, -0.0412992, -0.464213},
1281  {0.868534, -0.198227, -0.454262},
1282  {0.904839, -0.161006, -0.394136},
1283  {0.93513, -0.1228, -0.332342},
1284  {0.960655, 0.0815011, -0.265518},
1285  { 0.978852, 0.0412509, -0.200368},
1286  {0.960655, -0.0815011, -0.265518},
1287  {0.978852, -0.0412509, -0.200368},
1288  {0.991046, 0, -0.133523},
1289  {0.916092, 0, -0.400968},
1290  {0.941618, -0.041302, -0.33414},
1291  {0.941618, 0.041302, -0.33414},
1292  {-0.884965, -0.465658, 6.12323e-17},
1293  {-0.892927, -0.445365, 0.0658169},
1294  {-0.859848, -0.506298, 0.0657576},
1295  {-0.940742, -0.339123, 6.12323e-17},
1296  {- 0.946198, -0.316778, 0.0660424},
1297  {-0.921919, -0.381722, 0.0659884},
1298  {-0.896801, -0.422364, 0.131749},
1299  {-0.896401, -0.397351, 0.196412},
1300  {-0.865871, -0.460267, 0.196015},
1301  {-0.97853, -0.206103 , 6.12323e-17},
1302  {-0.981483, -0.179596, 0.0666044},
1303  {-0.966643, -0.247326, 0.0665669},
1304  {-0.997607, -0.0691416, 6.12323e-17},
1305  {-0.996917, -0.0412484, 0.0667413},
1306  {-0.991648, -0.110385, 0.0667094 },
1307  {-0.979426, -0.151549, 0.133256},
1308  {-0.97237, -0.122729, 0.19858},
1309  {-0.961188, -0.19178, 0.198337},
1310  {-0.891742, -0.368518, 0.262661},
1311  {-0.882837, -0.339209, 0.324864},
1312  {-0.855337 , -0.405434, 0.322525},
1313  {-0.93605, -0.232455, 0.264151},
1314  {-0.92388, -0.201189, 0.32553},
1315  {-0.905832, -0.270627, 0.325929},
1316  {-0.869725, -0.307659, 0.385906},
1317  {-0.85264, -0.274694, 0.444464 },
1318  {-0.828447, -0.342848, 0.442867},
1319  {-0.947822, -0.289929, 0.13257},
1320  {-0.944433, -0.26155, 0.199094},
1321  {-0.922682, -0.330607, 0.198387},
1322  {-0.997607, 0.0691416, 6.12323e-17},
1323  {-0.991648 , 0.110385, 0.0667094},
1324  {-0.996917, 0.0412484, 0.0667413},
1325  {-0.97853, 0.206103, 6.12323e-17},
1326  {-0.966643, 0.247326, 0.0665669},
1327  {-0.981483, 0.179596, 0.0666044},
1328  {-0.979426, 0.151549, 0.133256 },
1329  {-0.961188, 0.19178, 0.198337},
1330  {-0.97237, 0.122729, 0.19858},
1331  {-0.940742, 0.339123, 6.12323e-17},
1332  {-0.921919, 0.381722, 0.0659884},
1333  {-0.946198, 0.316778, 0.0660424},
1334  {-0.884965 , 0.465658, 6.12323e-17},
1335  {-0.859848, 0.506298, 0.0657576},
1336  {-0.892927, 0.445365, 0.0658169},
1337  {-0.896801, 0.422364, 0.131749},
1338  {-0.865871, 0.460267, 0.196015},
1339  {-0.896401, 0.397351, 0.196412 },
1340  {-0.93605, 0.232455, 0.264151},
1341  {-0.905832, 0.270627, 0.325929},
1342  {-0.92388, 0.201189, 0.32553},
1343  {-0.891742, 0.368518, 0.262661},
1344  {-0.855337, 0.405434, 0.322525},
1345  {-0.882837, 0.339209 , 0.324864},
1346  {-0.869725, 0.307659, 0.385906},
1347  {-0.828447, 0.342848, 0.442867},
1348  {-0.85264, 0.274694, 0.444464},
1349  {-0.947822, 0.289929, 0.13257},
1350  {-0.922682, 0.330607, 0.198387},
1351  {-0.944433 , 0.26155, 0.199094},
1352  {-0.827147, -0.233445, 0.511205},
1353  {-0.801504, -0.197274, 0.564513},
1354  {-0.785715, -0.273707, 0.55474},
1355  {-0.848029, -0.0784591, 0.52411},
1356  {-0.817523, -0.0406752, 0.574458 },
1357  {-0.812169, -0.119078, 0.57114},
1358  {-0.771841, -0.159613, 0.615456},
1359  {-0.738886, -0.121193, 0.662842},
1360  {-0.727958, -0.199331, 0.656006},
1361  {-0.848029, 0.0784591, 0.52411},
1362  {-0.812169 , 0.119078, 0.57114},
1363  {-0.817523, 0.0406752, 0.574458},
1364  {-0.827147, 0.233445, 0.511205},
1365  {-0.785715, 0.273707, 0.55474},
1366  {-0.801504, 0.197274, 0.564513},
1367  {-0.771841, 0.159613, 0.615456},
1368  {-0.727958, 0.199331, 0.656006},
1369  {-0.738886, 0.121193, 0.662842},
1370  {-0.700622, -0.080573, 0.708969},
1371  {-0.660884, -0.0406421, 0.749387},
1372  {-0.656282, -0.121144, 0.744727},
1373  {-0.700622 , 0.080573, 0.708969},
1374  {-0.656282, 0.121144, 0.744727},
1375  {-0.660884, 0.0406421, 0.749387},
1376  {-0.617676, 7.56435e-17, 0.786433},
1377  {-0.572056, 0.0406404, 0.819207},
1378  {-0.572056, -0.0406404, 0.819207 },
1379  {-0.782786, 9.58636e-17, 0.622292},
1380  {-0.743496, 0.0406771, 0.667502},
1381  {-0.743496, -0.0406771, 0.667502},
1382  {-0.991046, 1.21368e-16, 0.133523},
1383  {-0.960655, 0.0815011, 0.265518},
1384  {- 0.978852, 0.0412509, 0.200368},
1385  {-0.978852, -0.0412509, 0.200368},
1386  {-0.960655, -0.0815011, 0.265518},
1387  {-0.904839, 0.161006, 0.394136},
1388  {-0.93513, 0.1228, 0.332342},
1389  {-0.868534, 0.198227, 0.454262},
1390  {-0.879345, 0.119755, 0.460882},
1391  {-0.88476, 0.0412992, 0.464213},
1392  {-0.93513, -0.1228, 0.332342},
1393  {-0.904839, -0.161006, 0.394136},
1394  {-0.88476, -0.0412992, 0.464213},
1395  {-0.879345 , -0.119755, 0.460882},
1396  {-0.868534, -0.198227, 0.454262},
1397  {-0.941618, 0.041302, 0.33414},
1398  {-0.916092, 1.12189e-16, 0.400968},
1399  {-0.941618, -0.041302, 0.33414},
1400  {-0.859848, -0.506298, -0.0657576 },
1401  {-0.892927, -0.445365, -0.0658169},
1402  {-0.865871, -0.460267, -0.196015},
1403  {-0.896401, -0.397351, -0.196412},
1404  {-0.896801, -0.422364, -0.131749},
1405  {-0.921919, -0.381722, -0.0659884},
1406  {- 0.946198, -0.316778, -0.0660424},
1407  {-0.855337, -0.405434, -0.322525},
1408  {-0.882837, -0.339209, -0.324864},
1409  {-0.891742, -0.368518, -0.262661},
1410  {-0.828447, -0.342848, -0.442867},
1411  {-0.85264, - 0.274694, -0.444464},
1412  {-0.869725, -0.307659, -0.385906},
1413  {-0.905832, -0.270627, -0.325929},
1414  {-0.92388, -0.201189, -0.32553},
1415  {-0.93605, -0.232455, -0.264151},
1416  {-0.966643, -0.247326, -0.0665669 },
1417  {-0.981483, -0.179596, -0.0666044},
1418  {-0.961188, -0.19178, -0.198337},
1419  {-0.97237, -0.122729, -0.19858},
1420  {-0.979426, -0.151549, -0.133256},
1421  {-0.991648, -0.110385, -0.0667094},
1422  {- 0.996917, -0.0412484, -0.0667413},
1423  {-0.922682, -0.330607, -0.198387},
1424  {-0.944433, -0.26155, -0.199094},
1425  {-0.947822, -0.289929, -0.13257},
1426  {-0.785715, -0.273707, -0.55474},
1427  {-0.801504, -0.197274 , -0.564513},
1428  {-0.827147, -0.233445, -0.511205},
1429  {-0.727958, -0.199331, -0.656006},
1430  {-0.738886, -0.121193, -0.662842},
1431  {-0.771841, -0.159613, -0.615456},
1432  {-0.812169, -0.119078, -0.57114},
1433  {-0.817523, -0.0406752, -0.574458},
1434  {-0.848029, -0.0784591, -0.52411},
1435  {-0.656282, -0.121144, -0.744727},
1436  {-0.660884, -0.0406421, -0.749387},
1437  {-0.700622, -0.080573, -0.708969},
1438  {- 0.572056, -0.0406404, -0.819207},
1439  {-0.572056, 0.0406404, -0.819207},
1440  {-0.617676, 7.56435e-17, -0.786433},
1441  {-0.660884, 0.0406421, -0.749387},
1442  {-0.656282, 0.121144, -0.744727},
1443  {-0.700622, 0.080573, -0.708969},
1444  {-0.817523, 0.0406752, -0.574458},
1445  {-0.812169, 0.119078, -0.57114},
1446  {-0.848029, 0.0784591, -0.52411},
1447  {-0.738886, 0.121193, -0.662842},
1448  {-0.727958, 0.199331, -0.656006 },
1449  {-0.771841, 0.159613, -0.615456},
1450  {-0.801504, 0.197274, -0.564513},
1451  {-0.785715, 0.273707, -0.55474},
1452  {-0.827147, 0.233445, -0.511205},
1453  {-0.743496, -0.0406771, -0.667502},
1454  {-0.743496 , 0.0406771, -0.667502},
1455  {-0.782786, 9.58636e-17, -0.622292},
1456  {-0.996917, 0.0412484, -0.0667413},
1457  {-0.991648, 0.110385, -0.0667094},
1458  {-0.97237, 0.122729, -0.19858},
1459  {-0.961188, 0.19178, - 0.198337},
1460  {-0.979426, 0.151549, -0.133256},
1461  {-0.981483, 0.179596, -0.0666044},
1462  {-0.966643, 0.247326, -0.0665669},
1463  {-0.92388, 0.201189, -0.32553},
1464  {-0.905832, 0.270627, -0.325929},
1465  {- 0.93605, 0.232455, -0.264151},
1466  {-0.85264, 0.274694, -0.444464},
1467  {-0.828447, 0.342848, -0.442867},
1468  {-0.869725, 0.307659, -0.385906},
1469  {-0.882837, 0.339209, -0.324864},
1470  {-0.855337, 0.405434 , -0.322525},
1471  {-0.891742, 0.368518, -0.262661},
1472  {-0.946198, 0.316778, -0.0660424},
1473  {-0.921919, 0.381722, -0.0659884},
1474  {-0.896401, 0.397351, -0.196412},
1475  {-0.865871, 0.460267, -0.196015},
1476  {-0.896801, 0.422364, -0.131749},
1477  {-0.892927, 0.445365, -0.0658169},
1478  {-0.859848, 0.506298, -0.0657576},
1479  {-0.944433, 0.26155, -0.199094},
1480  {-0.922682, 0.330607, -0.198387},
1481  {-0.947822, 0.289929, -0.13257},
1482  {-0.868534, -0.198227, -0.454262},
1483  {-0.88476, -0.0412992, -0.464213},
1484  {-0.879345, -0.119755, -0.460882},
1485  {-0.904839, -0.161006, -0.394136},
1486  {-0.93513, -0.1228, -0.332342 },
1487  {-0.879345, 0.119755, -0.460882},
1488  {-0.88476, 0.0412992, -0.464213},
1489  {-0.868534, 0.198227, -0.454262},
1490  {-0.904839, 0.161006, -0.394136},
1491  {-0.93513, 0.1228, -0.332342},
1492  {-0.960655 , -0.0815011, -0.265518},
1493  {-0.978852, -0.0412509, -0.200368},
1494  {-0.960655, 0.0815011, -0.265518},
1495  {-0.978852, 0.0412509, -0.200368},
1496  {-0.991046, 1.21368e-16, -0.133523},
1497  {-0.916092, 1.12189e-16 , -0.400968},
1498  {-0.941618, 0.041302, -0.33414},
1499  {-0.941618, -0.041302, -0.33414},
1500  {5.41885e-17, 0.884965, 0.465658},
1501  {0.0658169, 0.892927, 0.445365},
1502  {0.0657576, 0.859848, 0.506298},
1503  { 5.76038e-17, 0.940742, 0.339123},
1504  {0.0660424, 0.946198, 0.316778},
1505  {0.0659884, 0.921919, 0.381722},
1506  {0.131749, 0.896801, 0.422364},
1507  {0.196412, 0.896401, 0.397351},
1508  {0.196015, 0.865871, 0.460267 },
1509  {5.99177e-17, 0.97853, 0.206103},
1510  {0.0666044, 0.981483, 0.179596},
1511  {0.0665669, 0.966643, 0.247326},
1512  {6.10858e-17, 0.997607, 0.0691416},
1513  {0.0667413, 0.996917, 0.0412484},
1514  {0.0667094 , 0.991648, 0.110385},
1515  {0.133256, 0.979426, 0.151549},
1516  {0.19858, 0.97237, 0.122729},
1517  {0.198337, 0.961188, 0.19178},
1518  {0.262661, 0.891742, 0.368518},
1519  {0.324864, 0.882837, 0.339209},
1520  { 0.322525, 0.855337, 0.405434},
1521  {0.264151, 0.93605, 0.232455},
1522  {0.32553, 0.92388, 0.201189},
1523  {0.325929, 0.905832, 0.270627},
1524  {0.385906, 0.869725, 0.307659},
1525  {0.444464, 0.85264, 0.274694},
1526  {0.442867, 0.828447, 0.342848},
1527  {0.13257, 0.947822, 0.289929},
1528  {0.199094, 0.944433, 0.26155},
1529  {0.198387, 0.922682, 0.330607},
1530  {6.10858e-17, 0.997607, -0.0691416},
1531  {0.0667094, 0.991648 , -0.110385},
1532  {0.0667413, 0.996917, -0.0412484},
1533  {5.99177e-17, 0.97853, -0.206103},
1534  {0.0665669, 0.966643, -0.247326},
1535  {0.0666044, 0.981483, -0.179596},
1536  {0.133256, 0.979426, -0.151549},
1537  {0.198337, 0.961188, -0.19178},
1538  {0.19858, 0.97237, -0.122729},
1539  {5.76038e-17, 0.940742, -0.339123},
1540  {0.0659884, 0.921919, -0.381722},
1541  {0.0660424, 0.946198, -0.316778},
1542  {5.41885e-17, 0.884965 , -0.465658},
1543  {0.0657576, 0.859848, -0.506298},
1544  {0.0658169, 0.892927, -0.445365},
1545  {0.131749, 0.896801, -0.422364},
1546  {0.196015, 0.865871, -0.460267},
1547  {0.196412, 0.896401, -0.397351},
1548  { 0.264151, 0.93605, -0.232455},
1549  {0.325929, 0.905832, -0.270627},
1550  {0.32553, 0.92388, -0.201189},
1551  {0.262661, 0.891742, -0.368518},
1552  {0.322525, 0.855337, -0.405434},
1553  {0.324864, 0.882837, -0.339209 },
1554  {0.385906, 0.869725, -0.307659},
1555  {0.442867, 0.828447, -0.342848},
1556  {0.444464, 0.85264, -0.274694},
1557  {0.13257, 0.947822, -0.289929},
1558  {0.198387, 0.922682, -0.330607},
1559  {0.199094, 0.944433 , -0.26155},
1560  {0.511205, 0.827147, 0.233445},
1561  {0.564513, 0.801504, 0.197274},
1562  {0.55474, 0.785715, 0.273707},
1563  {0.52411, 0.848029, 0.0784591},
1564  {0.574458, 0.817523, 0.0406752},
1565  {0.57114 , 0.812169, 0.119078},
1566  {0.615456, 0.771841, 0.159613},
1567  {0.662842, 0.738886, 0.121193},
1568  {0.656006, 0.727958, 0.199331},
1569  {0.52411, 0.848029, -0.0784591},
1570  {0.57114, 0.812169, -0.119078},
1571  {0.574458, 0.817523, -0.0406752},
1572  {0.511205, 0.827147, -0.233445},
1573  {0.55474, 0.785715, -0.273707},
1574  {0.564513, 0.801504, -0.197274},
1575  {0.615456, 0.771841, -0.159613},
1576  {0.656006, 0.727958 , -0.199331},
1577  {0.662842, 0.738886, -0.121193},
1578  {0.708969, 0.700622, 0.080573},
1579  {0.749387, 0.660884, 0.0406421},
1580  {0.744727, 0.656282, 0.121144},
1581  {0.708969, 0.700622, -0.080573},
1582  {0.744727 , 0.656282, -0.121144},
1583  {0.749387, 0.660884, -0.0406421},
1584  {0.786433, 0.617676, -1.60812e-16},
1585  {0.819207, 0.572056, -0.0406404},
1586  {0.819207, 0.572056, 0.0406404},
1587  {0.622292, 0.782786, -1.60812e-16 },
1588  {0.667502, 0.743496, -0.0406771},
1589  {0.667502, 0.743496, 0.0406771},
1590  {0.133523, 0.991046, -1.60812e-16},
1591  {0.265518, 0.960655, -0.0815011},
1592  {0.200368, 0.978852, -0.0412509},
1593  {0.200368 , 0.978852, 0.0412509},
1594  {0.265518, 0.960655, 0.0815011},
1595  {0.394136, 0.904839, -0.161006},
1596  {0.332342, 0.93513, -0.1228},
1597  {0.454262, 0.868534, -0.198227},
1598  {0.460882, 0.879345, -0.119755},
1599  {0.464213, 0.88476, -0.0412992},
1600  {0.332342, 0.93513, 0.1228},
1601  {0.394136, 0.904839, 0.161006},
1602  {0.464213, 0.88476, 0.0412992},
1603  {0.460882, 0.879345, 0.119755},
1604  {0.454262, 0.868534, 0.198227 },
1605  {0.33414, 0.941618, -0.041302},
1606  {0.400968, 0.916092, -1.60812e-16},
1607  {0.33414, 0.941618, 0.041302},
1608  {-0.0657576, 0.859848, 0.506298},
1609  {-0.0658169, 0.892927, 0.445365},
1610  {-0.196015 , 0.865871, 0.460267},
1611  {-0.196412, 0.896401, 0.397351},
1612  {-0.131749, 0.896801, 0.422364},
1613  {-0.0659884, 0.921919, 0.381722},
1614  {-0.0660424, 0.946198, 0.316778},
1615  {-0.322525, 0.855337, 0.405434 },
1616  {-0.324864, 0.882837, 0.339209},
1617  {-0.262661, 0.891742, 0.368518},
1618  {-0.442867, 0.828447, 0.342848},
1619  {-0.444464, 0.85264, 0.274694},
1620  {-0.385906, 0.869725, 0.307659},
1621  {-0.325929, 0.905832, 0.270627},
1622  {-0.32553, 0.92388, 0.201189},
1623  {-0.264151, 0.93605, 0.232455},
1624  {-0.0665669, 0.966643, 0.247326},
1625  {-0.0666044, 0.981483, 0.179596},
1626  {-0.198337, 0.961188, 0.19178},
1627  {-0.19858, 0.97237, 0.122729},
1628  {-0.133256, 0.979426, 0.151549},
1629  {-0.0667094, 0.991648, 0.110385},
1630  {-0.0667413, 0.996917, 0.0412484},
1631  {-0.198387, 0.922682, 0.330607},
1632  {-0.199094, 0.944433 , 0.26155},
1633  {-0.13257, 0.947822, 0.289929},
1634  {-0.55474, 0.785715, 0.273707},
1635  {-0.564513, 0.801504, 0.197274},
1636  {-0.511205, 0.827147, 0.233445},
1637  {-0.656006, 0.727958, 0.199331},
1638  {-0.662842 , 0.738886, 0.121193},
1639  {-0.615456, 0.771841, 0.159613},
1640  {-0.57114, 0.812169, 0.119078},
1641  {-0.574458, 0.817523, 0.0406752},
1642  {-0.52411, 0.848029, 0.0784591},
1643  {-0.744727, 0.656282, 0.121144},
1644  {-0.749387, 0.660884, 0.0406421},
1645  {-0.708969, 0.700622, 0.080573},
1646  {-0.819207, 0.572056, 0.0406404},
1647  {-0.819207, 0.572056, -0.0406404},
1648  {-0.786433, 0.617676, -1.60812e-16},
1649  {-0.749387 , 0.660884, -0.0406421},
1650  {-0.744727, 0.656282, -0.121144},
1651  {-0.708969, 0.700622, -0.080573},
1652  {-0.574458, 0.817523, -0.0406752},
1653  {-0.57114, 0.812169, -0.119078},
1654  {-0.52411, 0.848029, -0.0784591 },
1655  {-0.662842, 0.738886, -0.121193},
1656  {-0.656006, 0.727958, -0.199331},
1657  {-0.615456, 0.771841, -0.159613},
1658  {-0.564513, 0.801504, -0.197274},
1659  {-0.55474, 0.785715, -0.273707},
1660  {-0.511205 , 0.827147, -0.233445},
1661  {-0.667502, 0.743496, 0.0406771},
1662  {-0.667502, 0.743496, -0.0406771},
1663  {-0.622292, 0.782786, -1.60812e-16},
1664  {-0.0667413, 0.996917, -0.0412484},
1665  {-0.0667094, 0.991648 , -0.110385},
1666  {-0.19858, 0.97237, -0.122729},
1667  {-0.198337, 0.961188, -0.19178},
1668  {-0.133256, 0.979426, -0.151549},
1669  {-0.0666044, 0.981483, -0.179596},
1670  {-0.0665669, 0.966643, -0.247326},
1671  {-0.32553, 0.92388, -0.201189},
1672  {-0.325929, 0.905832, -0.270627},
1673  {-0.264151, 0.93605, -0.232455},
1674  {-0.444464, 0.85264, -0.274694},
1675  {-0.442867, 0.828447, -0.342848},
1676  {-0.385906, 0.869725 , -0.307659},
1677  {-0.324864, 0.882837, -0.339209},
1678  {-0.322525, 0.855337, -0.405434},
1679  {-0.262661, 0.891742, -0.368518},
1680  {-0.0660424, 0.946198, -0.316778},
1681  {-0.0659884, 0.921919, -0.381722},
1682  {-0.196412, 0.896401, -0.397351},
1683  {-0.196015, 0.865871, -0.460267},
1684  {-0.131749, 0.896801, -0.422364},
1685  {-0.0658169, 0.892927, -0.445365},
1686  {-0.0657576, 0.859848, -0.506298},
1687  {-0.199094 , 0.944433, -0.26155},
1688  {-0.198387, 0.922682, -0.330607},
1689  {-0.13257, 0.947822, -0.289929},
1690  {-0.454262, 0.868534, 0.198227},
1691  {-0.464213, 0.88476, 0.0412992},
1692  {-0.460882, 0.879345, 0.119755 },
1693  {-0.394136, 0.904839, 0.161006},
1694  {-0.332342, 0.93513, 0.1228},
1695  {-0.460882, 0.879345, -0.119755},
1696  {-0.464213, 0.88476, -0.0412992},
1697  {-0.454262, 0.868534, -0.198227},
1698  {-0.394136, 0.904839, -0.161006},
1699  {-0.332342, 0.93513, -0.1228},
1700  {-0.265518, 0.960655, 0.0815011},
1701  {-0.200368, 0.978852, 0.0412509},
1702  {-0.265518, 0.960655, -0.0815011},
1703  {-0.200368, 0.978852, -0.0412509 },
1704  {-0.133523, 0.991046, -1.60812e-16},
1705  {-0.400968, 0.916092, -1.60812e-16},
1706  {-0.33414, 0.941618, -0.041302},
1707  {-0.33414, 0.941618, 0.041302},
1708  {0.0657576, -0.859848, 0.506298},
1709  {0.0658169 , -0.892927, 0.445365},
1710  {5.41885e-17, -0.884965, 0.465658},
1711  {0.196015, -0.865871, 0.460267},
1712  {0.196412, -0.896401, 0.397351},
1713  {0.131749, -0.896801, 0.422364},
1714  {0.0659884, -0.921919, 0.381722 },
1715  {0.0660424, -0.946198, 0.316778},
1716  {5.76038e-17, -0.940742, 0.339123},
1717  {0.322525, -0.855337, 0.405434},
1718  {0.324864, -0.882837, 0.339209},
1719  {0.262661, -0.891742, 0.368518},
1720  {0.442867 , -0.828447, 0.342848},
1721  {0.444464, -0.85264, 0.274694},
1722  {0.385906, -0.869725, 0.307659},
1723  {0.325929, -0.905832, 0.270627},
1724  {0.32553, -0.92388, 0.201189},
1725  {0.264151, -0.93605, 0.232455},
1726  {0.0665669, -0.966643, 0.247326},
1727  {0.0666044, -0.981483, 0.179596},
1728  {5.99177e-17, -0.97853, 0.206103},
1729  {0.198337, -0.961188, 0.19178},
1730  {0.19858, -0.97237, 0.122729},
1731  {0.133256, -0.979426 , 0.151549},
1732  {0.0667094, -0.991648, 0.110385},
1733  {0.0667413, -0.996917, 0.0412484},
1734  {6.10858e-17, -0.997607, 0.0691416},
1735  {0.198387, -0.922682, 0.330607},
1736  {0.199094, -0.944433, 0.26155},
1737  {0.13257, -0.947822, 0.289929},
1738  {0.55474, -0.785715, 0.273707},
1739  {0.564513, -0.801504, 0.197274},
1740  {0.511205, -0.827147, 0.233445},
1741  {0.656006, -0.727958, 0.199331},
1742  {0.662842, -0.738886 , 0.121193},
1743  {0.615456, -0.771841, 0.159613},
1744  {0.57114, -0.812169, 0.119078},
1745  {0.574458, -0.817523, 0.0406752},
1746  {0.52411, -0.848029, 0.0784591},
1747  {0.744727, -0.656282, 0.121144},
1748  { 0.749387, -0.660884, 0.0406421},
1749  {0.708969, -0.700622, 0.080573},
1750  {0.819207, -0.572056, 0.0406404},
1751  {0.819207, -0.572056, -0.0406404},
1752  {0.786433, -0.617676, -1.60812e-16},
1753  {0.749387, -0.660884 , -0.0406421},
1754  {0.744727, -0.656282, -0.121144},
1755  {0.708969, -0.700622, -0.080573},
1756  {0.574458, -0.817523, -0.0406752},
1757  {0.57114, -0.812169, -0.119078},
1758  {0.52411, -0.848029, -0.0784591},
1759  {0.662842, -0.738886, -0.121193},
1760  {0.656006, -0.727958, -0.199331},
1761  {0.615456, -0.771841, -0.159613},
1762  {0.564513, -0.801504, -0.197274},
1763  {0.55474, -0.785715, -0.273707},
1764  {0.511205, -0.827147 , -0.233445},
1765  {0.667502, -0.743496, 0.0406771},
1766  {0.667502, -0.743496, -0.0406771},
1767  {0.622292, -0.782786, -1.60812e-16},
1768  {0.0667413, -0.996917, -0.0412484},
1769  {0.0667094, -0.991648, -0.110385 },
1770  {6.10858e-17, -0.997607, -0.0691416},
1771  {0.19858, -0.97237, -0.122729},
1772  {0.198337, -0.961188, -0.19178},
1773  {0.133256, -0.979426, -0.151549},
1774  {0.0666044, -0.981483, -0.179596},
1775  {0.0665669 , -0.966643, -0.247326},
1776  {5.99177e-17, -0.97853, -0.206103},
1777  {0.32553, -0.92388, -0.201189},
1778  {0.325929, -0.905832, -0.270627},
1779  {0.264151, -0.93605, -0.232455},
1780  {0.444464, -0.85264, -0.274694 },
1781  {0.442867, -0.828447, -0.342848},
1782  {0.385906, -0.869725, -0.307659},
1783  {0.324864, -0.882837, -0.339209},
1784  {0.322525, -0.855337, -0.405434},
1785  {0.262661, -0.891742, -0.368518},
1786  {0.0660424 , -0.946198, -0.316778},
1787  {0.0659884, -0.921919, -0.381722},
1788  {5.76038e-17, -0.940742, -0.339123},
1789  {0.196412, -0.896401, -0.397351},
1790  {0.196015, -0.865871, -0.460267},
1791  {0.131749, -0.896801, - 0.422364},
1792  {0.0658169, -0.892927, -0.445365},
1793  {0.0657576, -0.859848, -0.506298},
1794  {5.41885e-17, -0.884965, -0.465658},
1795  {0.199094, -0.944433, -0.26155},
1796  {0.198387, -0.922682, -0.330607},
1797  {0.13257, -0.947822, -0.289929},
1798  {0.454262, -0.868534, 0.198227},
1799  {0.464213, -0.88476, 0.0412992},
1800  {0.460882, -0.879345, 0.119755},
1801  {0.394136, -0.904839, 0.161006},
1802  {0.332342, -0.93513 , 0.1228},
1803  {0.460882, -0.879345, -0.119755},
1804  {0.464213, -0.88476, -0.0412992},
1805  {0.454262, -0.868534, -0.198227},
1806  {0.394136, -0.904839, -0.161006},
1807  {0.332342, -0.93513, -0.1228},
1808  { 0.265518, -0.960655, 0.0815011},
1809  {0.200368, -0.978852, 0.0412509},
1810  {0.265518, -0.960655, -0.0815011},
1811  {0.200368, -0.978852, -0.0412509},
1812  {0.133523, -0.991046, -1.60812e-16},
1813  {0.400968, - 0.916092, -1.60812e-16},
1814  {0.33414, -0.941618, -0.041302},
1815  {0.33414, -0.941618, 0.041302},
1816  {-0.0658169, -0.892927, 0.445365},
1817  {-0.0657576, -0.859848, 0.506298},
1818  {-0.0660424, -0.946198, 0.316778 },
1819  {-0.0659884, -0.921919, 0.381722},
1820  {-0.131749, -0.896801, 0.422364},
1821  {-0.196412, -0.896401, 0.397351},
1822  {-0.196015, -0.865871, 0.460267},
1823  {-0.0666044, -0.981483, 0.179596},
1824  {-0.0665669 , -0.966643, 0.247326},
1825  {-0.0667413, -0.996917, 0.0412484},
1826  {-0.0667094, -0.991648, 0.110385},
1827  {-0.133256, -0.979426, 0.151549},
1828  {-0.19858, -0.97237, 0.122729},
1829  {-0.198337, -0.961188, 0.19178 },
1830  {-0.262661, -0.891742, 0.368518},
1831  {-0.324864, -0.882837, 0.339209},
1832  {-0.322525, -0.855337, 0.405434},
1833  {-0.264151, -0.93605, 0.232455},
1834  {-0.32553, -0.92388, 0.201189},
1835  {-0.325929 , -0.905832, 0.270627},
1836  {-0.385906, -0.869725, 0.307659},
1837  {-0.444464, -0.85264, 0.274694},
1838  {-0.442867, -0.828447, 0.342848},
1839  {-0.13257, -0.947822, 0.289929},
1840  {-0.199094, -0.944433, 0.26155 },
1841  {-0.198387, -0.922682, 0.330607},
1842  {-0.0667094, -0.991648, -0.110385},
1843  {-0.0667413, -0.996917, -0.0412484},
1844  {-0.0665669, -0.966643, -0.247326},
1845  {-0.0666044, -0.981483, -0.179596},
1846  {- 0.133256, -0.979426, -0.151549},
1847  {-0.198337, -0.961188, -0.19178},
1848  {-0.19858, -0.97237, -0.122729},
1849  {-0.0659884, -0.921919, -0.381722},
1850  {-0.0660424, -0.946198, -0.316778},
1851  {-0.0657576, - 0.859848, -0.506298},
1852  {-0.0658169, -0.892927, -0.445365},
1853  {-0.131749, -0.896801, -0.422364},
1854  {-0.196015, -0.865871, -0.460267},
1855  {-0.196412, -0.896401, -0.397351},
1856  {-0.264151, -0.93605, - 0.232455},
1857  {-0.325929, -0.905832, -0.270627},
1858  {-0.32553, -0.92388, -0.201189},
1859  {-0.262661, -0.891742, -0.368518},
1860  {-0.322525, -0.855337, -0.405434},
1861  {-0.324864, -0.882837, -0.339209},
1862  {-0.385906, -0.869725, -0.307659},
1863  {-0.442867, -0.828447, -0.342848},
1864  {-0.444464, -0.85264, -0.274694},
1865  {-0.13257, -0.947822, -0.289929},
1866  {-0.198387, -0.922682, -0.330607},
1867  {-0.199094 , -0.944433, -0.26155},
1868  {-0.511205, -0.827147, 0.233445},
1869  {-0.564513, -0.801504, 0.197274},
1870  {-0.55474, -0.785715, 0.273707},
1871  {-0.52411, -0.848029, 0.0784591},
1872  {-0.574458, -0.817523, 0.0406752 },
1873  {-0.57114, -0.812169, 0.119078},
1874  {-0.615456, -0.771841, 0.159613},
1875  {-0.662842, -0.738886, 0.121193},
1876  {-0.656006, -0.727958, 0.199331},
1877  {-0.52411, -0.848029, -0.0784591},
1878  {-0.57114 , -0.812169, -0.119078},
1879  {-0.574458, -0.817523, -0.0406752},
1880  {-0.511205, -0.827147, -0.233445},
1881  {-0.55474, -0.785715, -0.273707},
1882  {-0.564513, -0.801504, -0.197274},
1883  {-0.615456, -0.771841 , -0.159613},
1884  {-0.656006, -0.727958, -0.199331},
1885  {-0.662842, -0.738886, -0.121193},
1886  {-0.708969, -0.700622, 0.080573},
1887  {-0.749387, -0.660884, 0.0406421},
1888  {-0.744727, -0.656282, 0.121144},
1889  {-0.708969, -0.700622, -0.080573},
1890  {-0.744727, -0.656282, -0.121144},
1891  {-0.749387, -0.660884, -0.0406421},
1892  {-0.786433, -0.617676, -1.60812e-16},
1893  {-0.819207, -0.572056, -0.0406404},
1894  {- 0.819207, -0.572056, 0.0406404},
1895  {-0.622292, -0.782786, -1.60812e-16},
1896  {-0.667502, -0.743496, -0.0406771},
1897  {-0.667502, -0.743496, 0.0406771},
1898  {-0.133523, -0.991046, -1.60812e-16},
1899  {-0.265518 , -0.960655, -0.0815011},
1900  {-0.200368, -0.978852, -0.0412509},
1901  {-0.200368, -0.978852, 0.0412509},
1902  {-0.265518, -0.960655, 0.0815011},
1903  {-0.394136, -0.904839, -0.161006},
1904  {-0.332342, -0.93513 , -0.1228},
1905  {-0.454262, -0.868534, -0.198227},
1906  {-0.460882, -0.879345, -0.119755},
1907  {-0.464213, -0.88476, -0.0412992},
1908  {-0.332342, -0.93513, 0.1228},
1909  {-0.394136, -0.904839, 0.161006},
1910  {- 0.464213, -0.88476, 0.0412992},
1911  {-0.460882, -0.879345, 0.119755},
1912  {-0.454262, -0.868534, 0.198227},
1913  {-0.33414, -0.941618, -0.041302},
1914  {-0.400968, -0.916092, -1.60812e-16},
1915  {-0.33414, -0.941618 , 0.041302},
1916  {0.106494, 0.82711, 0.551859},
1917  {0.237229, 0.830359, 0.504209},
1918  {0.172532, 0.830812, 0.529135},
1919  {0.147414, 0.79017, 0.594895},
1920  {0.187432, 0.749786, 0.634579},
1921  {0.366027 , 0.816233, 0.446977},
1922  {0.303801, 0.825175, 0.476226},
1923  {0.485712, 0.785899, 0.382683},
1924  {0.427135, 0.803016, 0.415597},
1925  {0.408286, 0.772575, 0.48624},
1926  {0.448259, 0.725299, 0.522499},
1927  { 0.38673, 0.737712, 0.553372},
1928  {0.2289, 0.703983, 0.672319},
1929  {0.267381, 0.65662, 0.705236},
1930  {0.361592, 0.697037, 0.619186},
1931  {0.399769, 0.64684, 0.649448},
1932  {0.334692, 0.653497, 0.678913},
1933  {0.305212, 0.605741, 0.734794},
1934  {0.341435, 0.552454, 0.760406},
1935  {0.280319, 0.790112, 0.545109},
1936  {0.322141, 0.745338, 0.583691},
1937  {0.25518, 0.749435, 0.610926},
1938  {0.605741, 0.734794, 0.305212 },
1939  {0.552454, 0.760406, 0.341435},
1940  {0.703983, 0.672319, 0.2289},
1941  {0.65662, 0.705236, 0.267381},
1942  {0.653497, 0.678913, 0.334692},
1943  {0.697037, 0.619186, 0.361592},
1944  {0.64684, 0.649448, 0.399769},
1945  {0.79017, 0.594895, 0.147414},
1946  {0.749786, 0.634579, 0.187432},
1947  {0.82711, 0.551859, 0.106494},
1948  {0.830812, 0.529135, 0.172532},
1949  {0.830359, 0.504209, 0.237229},
1950  {0.737712, 0.553372, 0.38673},
1951  {0.772575, 0.48624, 0.408286},
1952  {0.725299, 0.522499, 0.448259},
1953  {0.825175, 0.476226, 0.303801},
1954  {0.816233, 0.446977, 0.366027},
1955  {0.803016, 0.415597, 0.427135},
1956  { 0.785899, 0.382683, 0.485712},
1957  {0.749435, 0.610926, 0.25518},
1958  {0.790112, 0.545109, 0.280319},
1959  {0.745338, 0.583691, 0.322141},
1960  {0.382683, 0.485712, 0.785899},
1961  {0.415597, 0.427135, 0.803016 },
1962  {0.522499, 0.448259, 0.725299},
1963  {0.553372, 0.38673, 0.737712},
1964  {0.48624, 0.408286, 0.772575},
1965  {0.446977, 0.366027, 0.816233},
1966  {0.476226, 0.303801, 0.825175},
1967  {0.649448, 0.399769 , 0.64684},
1968  {0.678913, 0.334692, 0.653497},
1969  {0.619186, 0.361592, 0.697037},
1970  {0.760406, 0.341435, 0.552454},
1971  {0.734794, 0.305212, 0.605741},
1972  {0.705236, 0.267381, 0.65662},
1973  {0.672319 , 0.2289, 0.703983},
1974  {0.504209, 0.237229, 0.830359},
1975  {0.529135, 0.172532, 0.830812},
1976  {0.634579, 0.187432, 0.749786},
1977  {0.594895, 0.147414, 0.79017},
1978  {0.551859, 0.106494, 0.82711},
1979  { 0.583691, 0.322141, 0.745338},
1980  {0.610926, 0.25518, 0.749435},
1981  {0.545109, 0.280319, 0.790112},
1982  {0.536784, 0.735011, 0.414273},
1983  {0.628313, 0.619242, 0.470917},
1984  {0.584716, 0.678977, 0.443957 },
1985  {0.51797, 0.704471, 0.485208},
1986  {0.496441, 0.669612, 0.552418},
1987  {0.704471, 0.485208, 0.51797},
1988  {0.669612, 0.552418, 0.496441},
1989  {0.735011, 0.414273, 0.536784},
1990  {0.678977, 0.443957 , 0.584716},
1991  {0.619242, 0.470917, 0.628313},
1992  {0.470917, 0.628313, 0.619242},
1993  {0.443957, 0.584716, 0.678977},
1994  {0.552418, 0.496441, 0.669612},
1995  {0.485208, 0.51797, 0.704471},
1996  {0.414273 , 0.536784, 0.735011},
1997  {0.607478, 0.581952, 0.54065},
1998  {0.581952, 0.54065, 0.607478},
1999  {0.54065, 0.607478, 0.581952},
2000  {0.106494, 0.82711, -0.551859},
2001  {0.187432, 0.749786, -0.634579},
2002  { 0.147414, 0.79017, -0.594895},
2003  {0.172532, 0.830812, -0.529135},
2004  {0.237229, 0.830359, -0.504209},
2005  {0.267381, 0.65662, -0.705236},
2006  {0.2289, 0.703983, -0.672319},
2007  {0.341435, 0.552454, -0.760406 },
2008  {0.305212, 0.605741, -0.734794},
2009  {0.334692, 0.653497, -0.678913},
2010  {0.399769, 0.64684, -0.649448},
2011  {0.361592, 0.697037, -0.619186},
2012  {0.303801, 0.825175, -0.476226},
2013  {0.366027, 0.816233 , -0.446977},
2014  {0.38673, 0.737712, -0.553372},
2015  {0.448259, 0.725299, -0.522499},
2016  {0.408286, 0.772575, -0.48624},
2017  {0.427135, 0.803016, -0.415597},
2018  {0.485712, 0.785899, -0.382683},
2019  {0.25518 , 0.749435, -0.610926},
2020  {0.322141, 0.745338, -0.583691},
2021  {0.280319, 0.790112, -0.545109},
2022  {0.415597, 0.427135, -0.803016},
2023  {0.382683, 0.485712, -0.785899},
2024  {0.476226, 0.303801, -0.825175 },
2025  {0.446977, 0.366027, -0.816233},
2026  {0.48624, 0.408286, -0.772575},
2027  {0.553372, 0.38673, -0.737712},
2028  {0.522499, 0.448259, -0.725299},
2029  {0.529135, 0.172532, -0.830812},
2030  {0.504209, 0.237229 , -0.830359},
2031  {0.551859, 0.106494, -0.82711},
2032  {0.594895, 0.147414, -0.79017},
2033  {0.634579, 0.187432, -0.749786},
2034  {0.619186, 0.361592, -0.697037},
2035  {0.678913, 0.334692, -0.653497},
2036  {0.649448 , 0.399769, -0.64684},
2037  {0.672319, 0.2289, -0.703983},
2038  {0.705236, 0.267381, -0.65662},
2039  {0.734794, 0.305212, -0.605741},
2040  {0.760406, 0.341435, -0.552454},
2041  {0.545109, 0.280319, -0.790112},
2042  {0.610926, 0.25518, -0.749435},
2043  {0.583691, 0.322141, -0.745338},
2044  {0.552454, 0.760406, -0.341435},
2045  {0.605741, 0.734794, -0.305212},
2046  {0.64684, 0.649448, -0.399769},
2047  {0.697037, 0.619186 , -0.361592},
2048  {0.653497, 0.678913, -0.334692},
2049  {0.65662, 0.705236, -0.267381},
2050  {0.703983, 0.672319, -0.2289},
2051  {0.725299, 0.522499, -0.448259},
2052  {0.772575, 0.48624, -0.408286},
2053  {0.737712 , 0.553372, -0.38673},
2054  {0.785899, 0.382683, -0.485712},
2055  {0.803016, 0.415597, -0.427135},
2056  {0.816233, 0.446977, -0.366027},
2057  {0.825175, 0.476226, -0.303801},
2058  {0.749786, 0.634579, -0.187432},
2059  {0.79017, 0.594895, -0.147414},
2060  {0.830359, 0.504209, -0.237229},
2061  {0.830812, 0.529135, -0.172532},
2062  {0.82711, 0.551859, -0.106494},
2063  {0.745338, 0.583691, -0.322141},
2064  {0.790112, 0.545109 , -0.280319},
2065  {0.749435, 0.610926, -0.25518},
2066  {0.414273, 0.536784, -0.735011},
2067  {0.552418, 0.496441, -0.669612},
2068  {0.485208, 0.51797, -0.704471},
2069  {0.443957, 0.584716, -0.678977},
2070  {0.470917 , 0.628313, -0.619242},
2071  {0.678977, 0.443957, -0.584716},
2072  {0.619242, 0.470917, -0.628313},
2073  {0.735011, 0.414273, -0.536784},
2074  {0.704471, 0.485208, -0.51797},
2075  {0.669612, 0.552418, -0.496441},
2076  {0.496441, 0.669612, -0.552418},
2077  {0.51797, 0.704471, -0.485208},
2078  {0.628313, 0.619242, -0.470917},
2079  {0.584716, 0.678977, -0.443957},
2080  {0.536784, 0.735011, -0.414273},
2081  {0.581952, 0.54065 , -0.607478},
2082  {0.607478, 0.581952, -0.54065},
2083  {0.54065, 0.607478, -0.581952},
2084  {0.551859, -0.106494, 0.82711},
2085  {0.634579, -0.187432, 0.749786},
2086  {0.594895, -0.147414, 0.79017},
2087  {0.529135 , -0.172532, 0.830812},
2088  {0.504209, -0.237229, 0.830359},
2089  {0.705236, -0.267381, 0.65662},
2090  {0.672319, -0.2289, 0.703983},
2091  {0.760406, -0.341435, 0.552454},
2092  {0.734794, -0.305212, 0.605741},
2093  {0.678913, -0.334692, 0.653497},
2094  {0.649448, -0.399769, 0.64684},
2095  {0.619186, -0.361592, 0.697037},
2096  {0.476226, -0.303801, 0.825175},
2097  {0.446977, -0.366027, 0.816233},
2098  {0.553372, -0.38673 , 0.737712},
2099  {0.522499, -0.448259, 0.725299},
2100  {0.48624, -0.408286, 0.772575},
2101  {0.415597, -0.427135, 0.803016},
2102  {0.382683, -0.485712, 0.785899},
2103  {0.610926, -0.25518, 0.749435},
2104  {0.583691 , -0.322141, 0.745338},
2105  {0.545109, -0.280319, 0.790112},
2106  {0.803016, -0.415597, 0.427135},
2107  {0.785899, -0.382683, 0.485712},
2108  {0.825175, -0.476226, 0.303801},
2109  {0.816233, -0.446977, 0.366027 },
2110  {0.772575, -0.48624, 0.408286},
2111  {0.737712, -0.553372, 0.38673},
2112  {0.725299, -0.522499, 0.448259},
2113  {0.830812, -0.529135, 0.172532},
2114  {0.830359, -0.504209, 0.237229},
2115  {0.82711, -0.551859 , 0.106494},
2116  {0.79017, -0.594895, 0.147414},
2117  {0.749786, -0.634579, 0.187432},
2118  {0.697037, -0.619186, 0.361592},
2119  {0.653497, -0.678913, 0.334692},
2120  {0.64684, -0.649448, 0.399769},
2121  {0.703983 , -0.672319, 0.2289},
2122  {0.65662, -0.705236, 0.267381},
2123  {0.605741, -0.734794, 0.305212},
2124  {0.552454, -0.760406, 0.341435},
2125  {0.790112, -0.545109, 0.280319},
2126  {0.749435, -0.610926, 0.25518},
2127  {0.745338, -0.583691, 0.322141},
2128  {0.341435, -0.552454, 0.760406},
2129  {0.305212, -0.605741, 0.734794},
2130  {0.399769, -0.64684, 0.649448},
2131  {0.361592, -0.697037, 0.619186},
2132  {0.334692, -0.653497 , 0.678913},
2133  {0.267381, -0.65662, 0.705236},
2134  {0.2289, -0.703983, 0.672319},
2135  {0.448259, -0.725299, 0.522499},
2136  {0.408286, -0.772575, 0.48624},
2137  {0.38673, -0.737712, 0.553372},
2138  {0.485712 , -0.785899, 0.382683},
2139  {0.427135, -0.803016, 0.415597},
2140  {0.366027, -0.816233, 0.446977},
2141  {0.303801, -0.825175, 0.476226},
2142  {0.187432, -0.749786, 0.634579},
2143  {0.147414, -0.79017, 0.594895},
2144  {0.237229, -0.830359, 0.504209},
2145  {0.172532, -0.830812, 0.529135},
2146  {0.106494, -0.82711, 0.551859},
2147  {0.322141, -0.745338, 0.583691},
2148  {0.280319, -0.790112, 0.545109},
2149  {0.25518, -0.749435 , 0.610926},
2150  {0.735011, -0.414273, 0.536784},
2151  {0.669612, -0.552418, 0.496441},
2152  {0.704471, -0.485208, 0.51797},
2153  {0.678977, -0.443957, 0.584716},
2154  {0.619242, -0.470917, 0.628313},
2155  {0.584716 , -0.678977, 0.443957},
2156  {0.628313, -0.619242, 0.470917},
2157  {0.536784, -0.735011, 0.414273},
2158  {0.51797, -0.704471, 0.485208},
2159  {0.496441, -0.669612, 0.552418},
2160  {0.552418, -0.496441, 0.669612},
2161  {0.485208, -0.51797, 0.704471},
2162  {0.470917, -0.628313, 0.619242},
2163  {0.443957, -0.584716, 0.678977},
2164  {0.414273, -0.536784, 0.735011},
2165  {0.607478, -0.581952, 0.54065},
2166  {0.54065, -0.607478 , 0.581952},
2167  {0.581952, -0.54065, 0.607478},
2168  {0.551859, -0.106494, -0.82711},
2169  {0.504209, -0.237229, -0.830359},
2170  {0.529135, -0.172532, -0.830812},
2171  {0.594895, -0.147414, -0.79017},
2172  { 0.634579, -0.187432, -0.749786},
2173  {0.446977, -0.366027, -0.816233},
2174  {0.476226, -0.303801, -0.825175},
2175  {0.382683, -0.485712, -0.785899},
2176  {0.415597, -0.427135, -0.803016},
2177  {0.48624, -0.408286 , -0.772575},
2178  {0.522499, -0.448259, -0.725299},
2179  {0.553372, -0.38673, -0.737712},
2180  {0.672319, -0.2289, -0.703983},
2181  {0.705236, -0.267381, -0.65662},
2182  {0.619186, -0.361592, -0.697037},
2183  { 0.649448, -0.399769, -0.64684},
2184  {0.678913, -0.334692, -0.653497},
2185  {0.734794, -0.305212, -0.605741},
2186  {0.760406, -0.341435, -0.552454},
2187  {0.545109, -0.280319, -0.790112},
2188  {0.583691, -0.322141 , -0.745338},
2189  {0.610926, -0.25518, -0.749435},
2190  {0.305212, -0.605741, -0.734794},
2191  {0.341435, -0.552454, -0.760406},
2192  {0.2289, -0.703983, -0.672319},
2193  {0.267381, -0.65662, -0.705236},
2194  { 0.334692, -0.653497, -0.678913},
2195  {0.361592, -0.697037, -0.619186},
2196  {0.399769, -0.64684, -0.649448},
2197  {0.147414, -0.79017, -0.594895},
2198  {0.187432, -0.749786, -0.634579},
2199  {0.106494, -0.82711 , -0.551859},
2200  {0.172532, -0.830812, -0.529135},
2201  {0.237229, -0.830359, -0.504209},
2202  {0.38673, -0.737712, -0.553372},
2203  {0.408286, -0.772575, -0.48624},
2204  {0.448259, -0.725299, -0.522499},
2205  { 0.303801, -0.825175, -0.476226},
2206  {0.366027, -0.816233, -0.446977},
2207  {0.427135, -0.803016, -0.415597},
2208  {0.485712, -0.785899, -0.382683},
2209  {0.25518, -0.749435, -0.610926},
2210  {0.280319, -0.790112 , -0.545109},
2211  {0.322141, -0.745338, -0.583691},
2212  {0.785899, -0.382683, -0.485712},
2213  {0.803016, -0.415597, -0.427135},
2214  {0.725299, -0.522499, -0.448259},
2215  {0.737712, -0.553372, -0.38673},
2216  {0.772575, -0.48624, -0.408286},
2217  {0.816233, -0.446977, -0.366027},
2218  {0.825175, -0.476226, -0.303801},
2219  {0.64684, -0.649448, -0.399769},
2220  {0.653497, -0.678913, -0.334692},
2221  {0.697037, -0.619186 , -0.361592},
2222  {0.552454, -0.760406, -0.341435},
2223  {0.605741, -0.734794, -0.305212},
2224  {0.65662, -0.705236, -0.267381},
2225  {0.703983, -0.672319, -0.2289},
2226  {0.830359, -0.504209, -0.237229},
2227  { 0.830812, -0.529135, -0.172532},
2228  {0.749786, -0.634579, -0.187432},
2229  {0.79017, -0.594895, -0.147414},
2230  {0.82711, -0.551859, -0.106494},
2231  {0.745338, -0.583691, -0.322141},
2232  {0.749435, -0.610926 , -0.25518},
2233  {0.790112, -0.545109, -0.280319},
2234  {0.414273, -0.536784, -0.735011},
2235  {0.470917, -0.628313, -0.619242},
2236  {0.443957, -0.584716, -0.678977},
2237  {0.485208, -0.51797, -0.704471},
2238  { 0.552418, -0.496441, -0.669612},
2239  {0.51797, -0.704471, -0.485208},
2240  {0.496441, -0.669612, -0.552418},
2241  {0.536784, -0.735011, -0.414273},
2242  {0.584716, -0.678977, -0.443957},
2243  {0.628313, -0.619242 , -0.470917},
2244  {0.619242, -0.470917, -0.628313},
2245  {0.678977, -0.443957, -0.584716},
2246  {0.669612, -0.552418, -0.496441},
2247  {0.704471, -0.485208, -0.51797},
2248  {0.735011, -0.414273, -0.536784},
2249  {0.54065, -0.607478, -0.581952},
2250  {0.607478, -0.581952, -0.54065},
2251  {0.581952, -0.54065, -0.607478},
2252  {-0.551859, 0.106494, 0.82711},
2253  {-0.634579, 0.187432, 0.749786},
2254  {-0.594895, 0.147414 , 0.79017},
2255  {-0.529135, 0.172532, 0.830812},
2256  {-0.504209, 0.237229, 0.830359},
2257  {-0.705236, 0.267381, 0.65662},
2258  {-0.672319, 0.2289, 0.703983},
2259  {-0.760406, 0.341435, 0.552454},
2260  {-0.734794 , 0.305212, 0.605741},
2261  {-0.678913, 0.334692, 0.653497},
2262  {-0.649448, 0.399769, 0.64684},
2263  {-0.619186, 0.361592, 0.697037},
2264  {-0.476226, 0.303801, 0.825175},
2265  {-0.446977, 0.366027, 0.816233},
2266  {-0.553372, 0.38673, 0.737712},
2267  {-0.522499, 0.448259, 0.725299},
2268  {-0.48624, 0.408286, 0.772575},
2269  {-0.415597, 0.427135, 0.803016},
2270  {-0.382683, 0.485712, 0.785899},
2271  {-0.610926, 0.25518 , 0.749435},
2272  {-0.583691, 0.322141, 0.745338},
2273  {-0.545109, 0.280319, 0.790112},
2274  {-0.803016, 0.415597, 0.427135},
2275  {-0.785899, 0.382683, 0.485712},
2276  {-0.825175, 0.476226, 0.303801},
2277  {- 0.816233, 0.446977, 0.366027},
2278  {-0.772575, 0.48624, 0.408286},
2279  {-0.737712, 0.553372, 0.38673},
2280  {-0.725299, 0.522499, 0.448259},
2281  {-0.830812, 0.529135, 0.172532},
2282  {-0.830359, 0.504209, 0.237229 },
2283  {-0.82711, 0.551859, 0.106494},
2284  {-0.79017, 0.594895, 0.147414},
2285  {-0.749786, 0.634579, 0.187432},
2286  {-0.697037, 0.619186, 0.361592},
2287  {-0.653497, 0.678913, 0.334692},
2288  {-0.64684, 0.649448 , 0.399769},
2289  {-0.703983, 0.672319, 0.2289},
2290  {-0.65662, 0.705236, 0.267381},
2291  {-0.605741, 0.734794, 0.305212},
2292  {-0.552454, 0.760406, 0.341435},
2293  {-0.790112, 0.545109, 0.280319},
2294  {-0.749435 , 0.610926, 0.25518},
2295  {-0.745338, 0.583691, 0.322141},
2296  {-0.341435, 0.552454, 0.760406},
2297  {-0.305212, 0.605741, 0.734794},
2298  {-0.399769, 0.64684, 0.649448},
2299  {-0.361592, 0.697037, 0.619186},
2300  {-0.334692, 0.653497, 0.678913},
2301  {-0.267381, 0.65662, 0.705236},
2302  {-0.2289, 0.703983, 0.672319},
2303  {-0.448259, 0.725299, 0.522499},
2304  {-0.408286, 0.772575, 0.48624},
2305  {-0.38673, 0.737712, 0.553372},
2306  {-0.485712, 0.785899, 0.382683},
2307  {-0.427135, 0.803016, 0.415597},
2308  {-0.366027, 0.816233, 0.446977},
2309  {-0.303801, 0.825175, 0.476226},
2310  {-0.187432, 0.749786, 0.634579},
2311  {-0.147414 , 0.79017, 0.594895},
2312  {-0.237229, 0.830359, 0.504209},
2313  {-0.172532, 0.830812, 0.529135},
2314  {-0.106494, 0.82711, 0.551859},
2315  {-0.322141, 0.745338, 0.583691},
2316  {-0.280319, 0.790112, 0.545109},
2317  {-0.25518, 0.749435, 0.610926},
2318  {-0.735011, 0.414273, 0.536784},
2319  {-0.669612, 0.552418, 0.496441},
2320  {-0.704471, 0.485208, 0.51797},
2321  {-0.678977, 0.443957, 0.584716},
2322  {-0.619242, 0.470917 , 0.628313},
2323  {-0.584716, 0.678977, 0.443957},
2324  {-0.628313, 0.619242, 0.470917},
2325  {-0.536784, 0.735011, 0.414273},
2326  {-0.51797, 0.704471, 0.485208},
2327  {-0.496441, 0.669612, 0.552418},
2328  {- 0.552418, 0.496441, 0.669612},
2329  {-0.485208, 0.51797, 0.704471},
2330  {-0.470917, 0.628313, 0.619242},
2331  {-0.443957, 0.584716, 0.678977},
2332  {-0.414273, 0.536784, 0.735011},
2333  {-0.607478, 0.581952, 0.54065 },
2334  {-0.54065, 0.607478, 0.581952},
2335  {-0.581952, 0.54065, 0.607478},
2336  {-0.551859, 0.106494, -0.82711},
2337  {-0.504209, 0.237229, -0.830359},
2338  {-0.529135, 0.172532, -0.830812},
2339  {-0.594895, 0.147414, -0.79017},
2340  {-0.634579, 0.187432, -0.749786},
2341  {-0.446977, 0.366027, -0.816233},
2342  {-0.476226, 0.303801, -0.825175},
2343  {-0.382683, 0.485712, -0.785899},
2344  {-0.415597, 0.427135, -0.803016 },
2345  {-0.48624, 0.408286, -0.772575},
2346  {-0.522499, 0.448259, -0.725299},
2347  {-0.553372, 0.38673, -0.737712},
2348  {-0.672319, 0.2289, -0.703983},
2349  {-0.705236, 0.267381, -0.65662},
2350  {-0.619186, 0.361592, -0.697037},
2351  {-0.649448, 0.399769, -0.64684},
2352  {-0.678913, 0.334692, -0.653497},
2353  {-0.734794, 0.305212, -0.605741},
2354  {-0.760406, 0.341435, -0.552454},
2355  {-0.545109, 0.280319, -0.790112 },
2356  {-0.583691, 0.322141, -0.745338},
2357  {-0.610926, 0.25518, -0.749435},
2358  {-0.305212, 0.605741, -0.734794},
2359  {-0.341435, 0.552454, -0.760406},
2360  {-0.2289, 0.703983, -0.672319},
2361  {-0.267381 , 0.65662, -0.705236},
2362  {-0.334692, 0.653497, -0.678913},
2363  {-0.361592, 0.697037, -0.619186},
2364  {-0.399769, 0.64684, -0.649448},
2365  {-0.147414, 0.79017, -0.594895},
2366  {-0.187432, 0.749786, -0.634579 },
2367  {-0.106494, 0.82711, -0.551859},
2368  {-0.172532, 0.830812, -0.529135},
2369  {-0.237229, 0.830359, -0.504209},
2370  {-0.38673, 0.737712, -0.553372},
2371  {-0.408286, 0.772575, -0.48624},
2372  {-0.448259 , 0.725299, -0.522499},
2373  {-0.303801, 0.825175, -0.476226},
2374  {-0.366027, 0.816233, -0.446977},
2375  {-0.427135, 0.803016, -0.415597},
2376  {-0.485712, 0.785899, -0.382683},
2377  {-0.25518, 0.749435, -0.610926 },
2378  {-0.280319, 0.790112, -0.545109},
2379  {-0.322141, 0.745338, -0.583691},
2380  {-0.785899, 0.382683, -0.485712},
2381  {-0.803016, 0.415597, -0.427135},
2382  {-0.725299, 0.522499, -0.448259},
2383  {-0.737712 , 0.553372, -0.38673},
2384  {-0.772575, 0.48624, -0.408286},
2385  {-0.816233, 0.446977, -0.366027},
2386  {-0.825175, 0.476226, -0.303801},
2387  {-0.64684, 0.649448, -0.399769},
2388  {-0.653497, 0.678913, -0.334692 },
2389  {-0.697037, 0.619186, -0.361592},
2390  {-0.552454, 0.760406, -0.341435},
2391  {-0.605741, 0.734794, -0.305212},
2392  {-0.65662, 0.705236, -0.267381},
2393  {-0.703983, 0.672319, -0.2289},
2394  {-0.830359 , 0.504209, -0.237229},
2395  {-0.830812, 0.529135, -0.172532},
2396  {-0.749786, 0.634579, -0.187432},
2397  {-0.79017, 0.594895, -0.147414},
2398  {-0.82711, 0.551859, -0.106494},
2399  {-0.745338, 0.583691, -0.322141 },
2400  {-0.749435, 0.610926, -0.25518},
2401  {-0.790112, 0.545109, -0.280319},
2402  {-0.414273, 0.536784, -0.735011},
2403  {-0.470917, 0.628313, -0.619242},
2404  {-0.443957, 0.584716, -0.678977},
2405  {-0.485208 , 0.51797, -0.704471},
2406  {-0.552418, 0.496441, -0.669612},
2407  {-0.51797, 0.704471, -0.485208},
2408  {-0.496441, 0.669612, -0.552418},
2409  {-0.536784, 0.735011, -0.414273},
2410  {-0.584716, 0.678977, -0.443957 },
2411  {-0.628313, 0.619242, -0.470917},
2412  {-0.619242, 0.470917, -0.628313},
2413  {-0.678977, 0.443957, -0.584716},
2414  {-0.669612, 0.552418, -0.496441},
2415  {-0.704471, 0.485208, -0.51797},
2416  {-0.735011 , 0.414273, -0.536784},
2417  {-0.54065, 0.607478, -0.581952},
2418  {-0.607478, 0.581952, -0.54065},
2419  {-0.581952, 0.54065, -0.607478},
2420  {-0.551859, -0.106494, 0.82711},
2421  {-0.504209, -0.237229, 0.830359 },
2422  {-0.529135, -0.172532, 0.830812},
2423  {-0.594895, -0.147414, 0.79017},
2424  {-0.634579, -0.187432, 0.749786},
2425  {-0.446977, -0.366027, 0.816233},
2426  {-0.476226, -0.303801, 0.825175},
2427  {-0.382683 , -0.485712, 0.785899},
2428  {-0.415597, -0.427135, 0.803016},
2429  {-0.48624, -0.408286, 0.772575},
2430  {-0.522499, -0.448259, 0.725299},
2431  {-0.553372, -0.38673, 0.737712},
2432  {-0.672319, -0.2289, 0.703983 },
2433  {-0.705236, -0.267381, 0.65662},
2434  {-0.619186, -0.361592, 0.697037},
2435  {-0.649448, -0.399769, 0.64684},
2436  {-0.678913, -0.334692, 0.653497},
2437  {-0.734794, -0.305212, 0.605741},
2438  {-0.760406 , -0.341435, 0.552454},
2439  {-0.545109, -0.280319, 0.790112},
2440  {-0.583691, -0.322141, 0.745338},
2441  {-0.610926, -0.25518, 0.749435},
2442  {-0.305212, -0.605741, 0.734794},
2443  {-0.341435, -0.552454, 0.760406 },
2444  {-0.2289, -0.703983, 0.672319},
2445  {-0.267381, -0.65662, 0.705236},
2446  {-0.334692, -0.653497, 0.678913},
2447  {-0.361592, -0.697037, 0.619186},
2448  {-0.399769, -0.64684, 0.649448},
2449  {-0.147414 , -0.79017, 0.594895},
2450  {-0.187432, -0.749786, 0.634579},
2451  {-0.106494, -0.82711, 0.551859},
2452  {-0.172532, -0.830812, 0.529135},
2453  {-0.237229, -0.830359, 0.504209},
2454  {-0.38673, -0.737712, 0.553372 },
2455  {-0.408286, -0.772575, 0.48624},
2456  {-0.448259, -0.725299, 0.522499},
2457  {-0.303801, -0.825175, 0.476226},
2458  {-0.366027, -0.816233, 0.446977},
2459  {-0.427135, -0.803016, 0.415597},
2460  {-0.485712 , -0.785899, 0.382683},
2461  {-0.25518, -0.749435, 0.610926},
2462  {-0.280319, -0.790112, 0.545109},
2463  {-0.322141, -0.745338, 0.583691},
2464  {-0.785899, -0.382683, 0.485712},
2465  {-0.803016, -0.415597, 0.427135 },
2466  {-0.725299, -0.522499, 0.448259},
2467  {-0.737712, -0.553372, 0.38673},
2468  {-0.772575, -0.48624, 0.408286},
2469  {-0.816233, -0.446977, 0.366027},
2470  {-0.825175, -0.476226, 0.303801},
2471  {-0.64684 , -0.649448, 0.399769},
2472  {-0.653497, -0.678913, 0.334692},
2473  {-0.697037, -0.619186, 0.361592},
2474  {-0.552454, -0.760406, 0.341435},
2475  {-0.605741, -0.734794, 0.305212},
2476  {-0.65662, -0.705236, 0.267381 },
2477  {-0.703983, -0.672319, 0.2289},
2478  {-0.830359, -0.504209, 0.237229},
2479  {-0.830812, -0.529135, 0.172532},
2480  {-0.749786, -0.634579, 0.187432},
2481  {-0.79017, -0.594895, 0.147414},
2482  {-0.82711 , -0.551859, 0.106494},
2483  {-0.745338, -0.583691, 0.322141},
2484  {-0.749435, -0.610926, 0.25518},
2485  {-0.790112, -0.545109, 0.280319},
2486  {-0.414273, -0.536784, 0.735011},
2487  {-0.470917, -0.628313, 0.619242 },
2488  {-0.443957, -0.584716, 0.678977},
2489  {-0.485208, -0.51797, 0.704471},
2490  {-0.552418, -0.496441, 0.669612},
2491  {-0.51797, -0.704471, 0.485208},
2492  {-0.496441, -0.669612, 0.552418},
2493  {-0.536784 , -0.735011, 0.414273},
2494  {-0.584716, -0.678977, 0.443957},
2495  {-0.628313, -0.619242, 0.470917},
2496  {-0.619242, -0.470917, 0.628313},
2497  {-0.678977, -0.443957, 0.584716},
2498  {-0.669612, -0.552418, 0.496441 },
2499  {-0.704471, -0.485208, 0.51797},
2500  {-0.735011, -0.414273, 0.536784},
2501  {-0.54065, -0.607478, 0.581952},
2502  {-0.607478, -0.581952, 0.54065},
2503  {-0.581952, -0.54065, 0.607478},
2504  {-0.551859 , -0.106494, -0.82711},
2505  {-0.634579, -0.187432, -0.749786},
2506  {-0.594895, -0.147414, -0.79017},
2507  {-0.529135, -0.172532, -0.830812},
2508  {-0.504209, -0.237229, -0.830359},
2509  {-0.705236, -0.267381, - 0.65662},
2510  {-0.672319, -0.2289, -0.703983},
2511  {-0.760406, -0.341435, -0.552454},
2512  {-0.734794, -0.305212, -0.605741},
2513  {-0.678913, -0.334692, -0.653497},
2514  {-0.649448, -0.399769, -0.64684},
2515  {- 0.619186, -0.361592, -0.697037},
2516  {-0.476226, -0.303801, -0.825175},
2517  {-0.446977, -0.366027, -0.816233},
2518  {-0.553372, -0.38673, -0.737712},
2519  {-0.522499, -0.448259, -0.725299},
2520  {-0.48624, -0.408286 , -0.772575},
2521  {-0.415597, -0.427135, -0.803016},
2522  {-0.382683, -0.485712, -0.785899},
2523  {-0.610926, -0.25518, -0.749435},
2524  {-0.583691, -0.322141, -0.745338},
2525  {-0.545109, -0.280319, -0.790112},
2526  {-0.803016, -0.415597, -0.427135},
2527  {-0.785899, -0.382683, -0.485712},
2528  {-0.825175, -0.476226, -0.303801},
2529  {-0.816233, -0.446977, -0.366027},
2530  {-0.772575, -0.48624, -0.408286},
2531  {-0.737712 , -0.553372, -0.38673},
2532  {-0.725299, -0.522499, -0.448259},
2533  {-0.830812, -0.529135, -0.172532},
2534  {-0.830359, -0.504209, -0.237229},
2535  {-0.82711, -0.551859, -0.106494},
2536  {-0.79017, -0.594895, - 0.147414},
2537  {-0.749786, -0.634579, -0.187432},
2538  {-0.697037, -0.619186, -0.361592},
2539  {-0.653497, -0.678913, -0.334692},
2540  {-0.64684, -0.649448, -0.399769},
2541  {-0.703983, -0.672319, -0.2289},
2542  {-0.65662, -0.705236, -0.267381},
2543  {-0.605741, -0.734794, -0.305212},
2544  {-0.552454, -0.760406, -0.341435},
2545  {-0.790112, -0.545109, -0.280319},
2546  {-0.749435, -0.610926, -0.25518},
2547  {-0.745338 , -0.583691, -0.322141},
2548  {-0.341435, -0.552454, -0.760406},
2549  {-0.305212, -0.605741, -0.734794},
2550  {-0.399769, -0.64684, -0.649448},
2551  {-0.361592, -0.697037, -0.619186},
2552  {-0.334692, -0.653497, - 0.678913},
2553  {-0.267381, -0.65662, -0.705236},
2554  {-0.2289, -0.703983, -0.672319},
2555  {-0.448259, -0.725299, -0.522499},
2556  {-0.408286, -0.772575, -0.48624},
2557  {-0.38673, -0.737712, -0.553372},
2558  {- 0.485712, -0.785899, -0.382683},
2559  {-0.427135, -0.803016, -0.415597},
2560  {-0.366027, -0.816233, -0.446977},
2561  {-0.303801, -0.825175, -0.476226},
2562  {-0.187432, -0.749786, -0.634579},
2563  {-0.147414, - 0.79017, -0.594895},
2564  {-0.237229, -0.830359, -0.504209},
2565  {-0.172532, -0.830812, -0.529135},
2566  {-0.106494, -0.82711, -0.551859},
2567  {-0.322141, -0.745338, -0.583691},
2568  {-0.280319, -0.790112, -0.545109 },
2569  {-0.25518, -0.749435, -0.610926},
2570  {-0.735011, -0.414273, -0.536784},
2571  {-0.669612, -0.552418, -0.496441},
2572  {-0.704471, -0.485208, -0.51797},
2573  {-0.678977, -0.443957, -0.584716},
2574  {-0.619242 , -0.470917, -0.628313},
2575  {-0.584716, -0.678977, -0.443957},
2576  {-0.628313, -0.619242, -0.470917},
2577  {-0.536784, -0.735011, -0.414273},
2578  {-0.51797, -0.704471, -0.485208},
2579  {-0.496441, -0.669612, - 0.552418},
2580  {-0.552418, -0.496441, -0.669612},
2581  {-0.485208, -0.51797, -0.704471},
2582  {-0.470917, -0.628313, -0.619242},
2583  {-0.443957, -0.584716, -0.678977},
2584  {-0.414273, -0.536784, -0.735011},
2585  {-0.607478, -0.581952, -0.54065},
2586  {-0.54065, -0.607478, -0.581952},
2587  {-0.581952, -0.54065, -0.607478}
2588  };
2589  TractOrientationContainerType::Pointer sdcontainerptr =
2590  TractOrientationContainerType::New();
2591 
2592  for(unsigned int i = 0; i<totalsd; i++){
2593  TractOrientationContainerType::Element dir(
2594  sdarray[i][0], sdarray[i][1], sdarray[i][2]);
2595  sdcontainerptr->InsertElement(i, dir);
2596  }
2597 
2598  this->SetSampleDirections( sdcontainerptr );
2599 }
2600 
2601 }