Version: SMASH-1.8
crosssectionsbrems.h
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1 /*
2  *
3  * Copyright (c) 2020 -
4  * SMASH Team
5  *
6  * GNU General Public License (GPLv3 or later)
7  *
8  */
9 
10 #ifndef SRC_INCLUDE_CROSSSECTIONSBREMS_H_
11 #define SRC_INCLUDE_CROSSSECTIONSBREMS_H_
12 
13 #include <initializer_list>
14 
15 #include "interpolation.h"
16 #include "interpolation2D.h"
17 
18 namespace smash {
19 // sqrt(s), k and theta lists are identical for all channels, so we need
20 // to define them only once
21 
23 const std::initializer_list<double> BREMS_SQRTS = {
24  0.3, 0.31, 0.32, 0.33, 0.34, 0.35, 0.36, 0.37, 0.38, 0.39, 0.4, 0.41,
25  0.42, 0.43, 0.44, 0.45, 0.46, 0.47, 0.48, 0.49, 0.5, 0.51, 0.52, 0.53,
26  0.54, 0.55, 0.56, 0.57, 0.58, 0.59, 0.6, 0.61, 0.62, 0.63, 0.64, 0.65,
27  0.66, 0.67, 0.68, 0.69, 0.7, 0.71, 0.72, 0.73, 0.74, 0.75, 0.76, 0.77,
28  0.78, 0.79, 0.8, 0.81, 0.82, 0.83, 0.84, 0.85, 0.86, 0.87, 0.88, 0.89,
29  0.9, 0.91, 0.92, 0.93, 0.94, 0.95, 0.96, 0.97, 0.98, 0.99, 1.0, 1.01,
30  1.02, 1.03, 1.04, 1.05, 1.06, 1.07, 1.08, 1.09, 1.1, 1.11, 1.12, 1.13,
31  1.14, 1.15, 1.16, 1.17, 1.18, 1.19, 1.2, 1.21, 1.22, 1.23, 1.24, 1.25,
32  1.26, 1.27, 1.28, 1.29, 1.3, 1.31, 1.32, 1.33, 1.34, 1.35, 1.36, 1.37,
33  1.38, 1.39, 1.4, 1.41, 1.42, 1.43, 1.44, 1.45, 1.46, 1.47, 1.48, 1.49,
34  1.5, 1.51, 1.52, 1.53, 1.54, 1.55, 1.56, 1.57, 1.58, 1.59, 1.6, 1.61,
35  1.62, 1.63, 1.64, 1.65, 1.66, 1.67, 1.68, 1.69, 1.7, 1.71, 1.72, 1.73,
36  1.74, 1.75, 1.76, 1.77, 1.78, 1.79, 1.8, 1.81, 1.82, 1.83, 1.84, 1.85,
37  1.86, 1.87, 1.88, 1.89, 1.9, 1.91, 1.92, 1.93, 1.94, 1.95, 1.96, 1.97,
38  1.98, 1.99};
39 
41 const std::initializer_list<double> BREMS_K = {
42  0.001, 0.00107227, 0.00114976, 0.00123285, 0.00132194, 0.00141747,
43  0.00151991, 0.00162975, 0.00174753, 0.00187382, 0.00200923, 0.00215443,
44  0.00231013, 0.00247708, 0.00265609, 0.00284804, 0.00305386, 0.00327455,
45  0.00351119, 0.00376494, 0.00403702, 0.00432876, 0.00464159, 0.00497702,
46  0.0053367, 0.00572237, 0.00613591, 0.00657933, 0.0070548, 0.00756463,
47  0.00811131, 0.00869749, 0.00932603, 0.01, 0.0107227, 0.0114976,
48  0.0123285, 0.0132194, 0.0141747, 0.0151991, 0.0162975, 0.0174753,
49  0.0187382, 0.0200923, 0.0215443, 0.0231013, 0.0247708, 0.0265609,
50  0.0284804, 0.0305386, 0.0327455, 0.0351119, 0.0376494, 0.0403702,
51  0.0432876, 0.0464159, 0.0497702, 0.053367, 0.0572237, 0.0613591,
52  0.0657933, 0.070548, 0.0756463, 0.0811131, 0.0869749, 0.0932603,
53  0.1, 0.107227, 0.114976, 0.123285, 0.132194, 0.141747,
54  0.151991, 0.162975, 0.174753, 0.187382, 0.200923, 0.215443,
55  0.231013, 0.247708, 0.265609, 0.284804, 0.305386, 0.327455,
56  0.351119, 0.376494, 0.403702, 0.432876, 0.464159, 0.497702,
57  0.53367, 0.572237, 0.613591, 0.657933, 0.70548, 0.756463,
58  0.811131, 0.869749, 0.932603, 1.0};
59 
61 const std::initializer_list<double> BREMS_THETA = {
62  0.0, 0.039767, 0.079534, 0.119301, 0.159068, 0.198835, 0.238602,
63  0.278369, 0.318136, 0.357903, 0.39767, 0.437437, 0.477204, 0.516971,
64  0.556738, 0.596505, 0.636272, 0.676039, 0.715806, 0.755573, 0.79534,
65  0.835107, 0.874874, 0.914641, 0.954408, 0.994175, 1.03394, 1.07371,
66  1.11348, 1.15324, 1.19301, 1.23278, 1.27254, 1.31231, 1.35208,
67  1.39184, 1.43161, 1.47138, 1.51115, 1.55091, 1.59068, 1.63045,
68  1.67021, 1.70998, 1.74975, 1.78951, 1.82928, 1.86905, 1.90882,
69  1.94858, 1.98835, 2.02812, 2.06788, 2.10765, 2.14742, 2.18718,
70  2.22695, 2.26672, 2.30649, 2.34625, 2.38602, 2.42579, 2.46555,
71  2.50532, 2.54509, 2.58485, 2.62462, 2.66439, 2.70416, 2.74392,
72  2.78369, 2.82346, 2.86322, 2.90299, 2.94276, 2.98252, 3.02229,
73  3.06206, 3.10183, 3.14159};
74 
78 static std::unique_ptr<InterpolateDataLinear<double>>
80  pipi_pipi_opp_interpolation = nullptr;
81 static std::unique_ptr<InterpolateData2DSpline>
82  pipi_pipi_opp_dsigma_dk_interpolation = nullptr;
83 static std::unique_ptr<InterpolateData2DSpline>
84  pipi_pipi_opp_dsigma_dtheta_interpolation = nullptr;
86 
88 const std::initializer_list<double> BREMS_PIPI_PIPI_OPP_SIG = {
89  0.00702915, 0.0116714, 0.0169907, 0.0228068, 0.0296057, 0.0369843,
90  0.0449269, 0.05348, 0.0627479, 0.0724923, 0.0880587, 0.108509,
91  0.129909, 0.152119, 0.175301, 0.200301, 0.228122, 0.256953,
92  0.2895, 0.324935, 0.364374, 0.405953, 0.454025, 0.507106,
93  0.566173, 0.648423, 0.742896, 0.851243, 0.974879, 1.11292,
94  1.26756, 1.44423, 1.64552, 1.89076, 2.14465, 2.46244,
95  2.82068, 3.2304, 3.71175, 4.26708, 4.9319, 5.61797,
96  6.48261, 7.43571, 8.41891, 9.39968, 10.3162, 11.0723,
97  11.5164, 11.7223, 11.6095, 11.2132, 10.6538, 10.0022,
98  9.29265, 8.58795, 7.91709, 7.27064, 6.68004, 6.15923,
99  5.69516, 5.28397, 4.89076, 4.55128, 4.23501, 3.96089,
100  3.69463, 3.46874, 3.25614, 3.06467, 2.88674, 2.72981,
101  2.57991, 2.44736, 2.32671, 2.21115, 2.10851, 2.01653,
102  1.93118, 1.85254, 1.7793, 1.71372, 1.64793, 1.59196,
103  1.54044, 1.48951, 1.44111, 1.40004, 1.36046, 1.32259,
104  1.28459, 1.2532, 1.22329, 1.19722, 1.16768, 1.14529,
105  1.12508, 1.10376, 1.0882, 1.06677, 1.05622, 1.04074,
106  1.02984, 1.01581, 1.00848, 0.994557, 0.987444, 0.974236,
107  0.973559, 0.963817, 0.958475, 0.958554, 0.954316, 0.94773,
108  0.948656, 0.94397, 0.941896, 0.940145, 0.947171, 0.943495,
109  0.94706, 0.947206, 0.954494, 0.953514, 0.95484, 0.956679,
110  0.963544, 0.962616, 0.974903, 0.979186, 0.983664, 0.986381,
111  0.994494, 1.00366, 1.01088, 1.01061, 1.02817, 1.02938,
112  1.03651, 1.03435, 1.05488, 1.05685, 1.06862, 1.08383,
113  1.08806, 1.09978, 1.10887, 1.11196, 1.13513, 1.14953,
114  1.14513, 1.16836, 1.17018, 1.1849, 1.18855, 1.20444,
115  1.21807, 1.22498, 1.23694, 1.25831, 1.26723, 1.29063,
116  1.2895, 1.30257, 1.324, 1.32931, 1.33476, 1.35888,
117  1.37879, 1.3803};
118 
120 const std::initializer_list<double> BREMS_PIPI_PIPI_OPP_DIFF_SIG_K = {
121  3.06364, 2.81542, 2.63489, 2.44131, 2.26399, 2.10462, 1.94773,
122  1.80911, 1.67539, 1.55167, 1.43768, 1.32811, 1.22934, 1.13691,
123  1.05168, 0.971406, 0.894765, 0.823057, 0.756224, 0.695438, 0.638505,
124  0.584047, 0.535544, 0.489641, 0.447173, 0.407168, 0.369803, 0.334323,
125  0.301657, 0.271722, 0.244341, 0.218086, 0.193989, 0.171195, 0.149889,
126  0.130778, 0.112664, 0.0957914, 0.080642, 0.0662447, 0.0533743, 0.041207,
127  0.0304466, 0.020679, 0.0, 0.0, 0.0, 0.0, 0.0,
128  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
129  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
130  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
131  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
132  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
133  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
134  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
135  0.0, 0.0, 4.55302, 4.25168, 3.92857, 3.63553, 3.39436,
136  3.13576, 2.88999, 2.70171, 2.49983, 2.32878, 2.16222, 2.00527,
137  1.85459, 1.71862, 1.58588, 1.47256, 1.36162, 1.25603, 1.15865,
138  1.07529, 0.989122, 0.911032, 0.840191, 0.772525, 0.711161, 0.652347,
139  0.599233, 0.547274, 0.498524, 0.453418, 0.413041, 0.373906, 0.338643,
140  0.305486, 0.274952, 0.245659, 0.218287, 0.193782, 0.170587, 0.149585,
141  0.129097, 0.110266, 0.092932, 0.077238, 0.0626886, 0.0495815, 0.0376507,
142  0.0266637, 0.0169444, 0.0, 0.0, 0.0, 0.0, 0.0,
143  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
144  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
145  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
146  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
147  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
148  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
149  0.0, 0.0, 0.0, 0.0, 6.2431, 5.74673, 5.21448,
150  4.90946, 4.59494, 4.25769, 3.89607, 3.6552, 3.40519, 3.13712,
151  2.92765, 2.72079, 2.5133, 2.3345, 2.14742, 2.00416, 1.857,
152  1.72796, 1.59819, 1.4681, 1.36132, 1.25852, 1.16374, 1.07667,
153  0.990763, 0.911502, 0.838685, 0.771342, 0.707919, 0.645848, 0.593116,
154  0.541081, 0.495684, 0.449602, 0.408921, 0.370287, 0.334466, 0.30026,
155  0.268375, 0.239581, 0.212432, 0.186701, 0.163741, 0.14114, 0.121508,
156  0.102867, 0.0857885, 0.0702021, 0.0556651, 0.0424649, 0.0307281, 0.0201959,
157  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
158  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
159  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
160  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
161  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
162  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
163  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.76861,
164  7.34046, 6.88137, 6.3891, 5.86125, 5.35872, 5.04765, 4.71409,
165  4.35643, 4.00545, 3.7514, 3.47899, 3.19625, 2.9943, 2.77776,
166  2.57834, 2.39572, 2.21676, 2.05799, 1.90626, 1.7664, 1.63341,
167  1.50492, 1.39054, 1.28451, 1.19131, 1.1006, 1.01188, 0.931032,
168  0.856936, 0.787256, 0.72343, 0.662141, 0.603036, 0.551802, 0.500309,
169  0.456052, 0.41439, 0.373982, 0.336181, 0.302309, 0.26909, 0.240476,
170  0.21281, 0.18634, 0.162472, 0.140348, 0.119501, 0.10049, 0.0829341,
171  0.0666123, 0.0520469, 0.0387146, 0.0268066, 0.0166236, 0.0, 0.0,
172  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
173  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
174  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
175  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
176  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
177  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
178  0.0, 10.0431, 8.94932, 8.21807, 7.78465, 7.31991, 6.82159,
179  6.28725, 5.7143, 5.38442, 5.03603, 4.66245, 4.26188, 3.9983,
180  3.72021, 3.42202, 3.1967, 2.97293, 2.75091, 2.56075, 2.36207,
181  2.19595, 2.02642, 1.87715, 1.73668, 1.6042, 1.48648, 1.37614,
182  1.26942, 1.16789, 1.07794, 0.993396, 0.914261, 0.838772, 0.768498,
183  0.703707, 0.645422, 0.587709, 0.537347, 0.485958, 0.441383, 0.39788,
184  0.359385, 0.322333, 0.288096, 0.257105, 0.227693, 0.199303, 0.174004,
185  0.149988, 0.127826, 0.107965, 0.0888367, 0.0717648, 0.0560864, 0.0417036,
186  0.0292982, 0.0182512, 0.0, 0.0, 0.0, 0.0, 0.0,
187  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
188  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
189  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
190  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
191  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
192  0.0, 0.0, 0.0, 12.4794, 11.4804, 10.4092, 9.26058,
193  8.57191, 8.11062, 7.61599, 7.08561, 6.51691, 5.9331, 5.59277,
194  5.22785, 4.83655, 4.43052, 4.16048, 3.87092, 3.56043, 3.33077,
195  3.09018, 2.85828, 2.65311, 2.44654, 2.27827, 2.10793, 1.94766,
196  1.80059, 1.66191, 1.54246, 1.42754, 1.31947, 1.21607, 1.11737,
197  1.0273, 0.945631, 0.871323, 0.795393, 0.729618, 0.666113, 0.608798,
198  0.555231, 0.501381, 0.453873, 0.412654, 0.37073, 0.331584, 0.296691,
199  0.263569, 0.232304, 0.203689, 0.176952, 0.152593, 0.129868, 0.108822,
200  0.0891151, 0.0715492, 0.0552906, 0.0405321, 0.0278279, 0.0166241, 0.0,
201  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
202  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
203  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
204  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
205  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
206  0.0, 0.0, 0.0, 0.0, 0.0, 14.6489, 13.7214,
207  12.727, 11.6606, 10.5172, 9.31562, 8.84877, 8.34818, 7.81141,
208  7.23584, 6.61869, 6.10299, 5.73773, 5.34608, 4.92612, 4.55394,
209  4.25856, 3.94183, 3.63723, 3.39143, 3.12787, 2.91184, 2.70402,
210  2.50738, 2.31723, 2.15038, 1.98989, 1.84244, 1.70207, 1.57194,
211  1.4492, 1.33457, 1.2322, 1.139, 1.04523, 0.961104, 0.878354,
212  0.808471, 0.737235, 0.673064, 0.613576, 0.560051, 0.506851, 0.458185,
213  0.414581, 0.370908, 0.332353, 0.295918, 0.262405, 0.230667, 0.202145,
214  0.174575, 0.148519, 0.125724, 0.104718, 0.0853879, 0.0670844, 0.0506528,
215  0.0360963, 0.0234395, 0.0127041, 0.0, 0.0, 0.0, 0.0,
216  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
217  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
218  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
219  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
220  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
221  16.6264, 15.7489, 14.808, 13.7991, 12.7173, 11.5573, 10.3135,
222  9.48972, 8.97795, 8.4292, 7.84079, 7.20985, 6.53446, 6.16695,
223  5.77289, 5.35036, 4.89729, 4.59871, 4.27947, 3.93716, 3.67784,
224  3.41693, 3.16013, 2.94018, 2.71213, 2.52436, 2.33285, 2.16048,
225  1.99811, 1.84383, 1.70599, 1.57604, 1.45302, 1.33885, 1.23553,
226  1.13794, 1.04392, 0.95606, 0.877332, 0.803423, 0.734462, 0.668169,
227  0.608884, 0.555373, 0.49902, 0.453895, 0.406934, 0.364789, 0.32418,
228  0.288914, 0.253974, 0.224062, 0.192544, 0.166265, 0.140961, 0.118069,
229  0.0966269, 0.0770895, 0.0592118, 0.0434305, 0.0292442, 0.0171015, 0.0,
230  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
231  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
232  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
233  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
234  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
235  0.0, 0.0, 18.6562, 17.808, 16.8986, 15.9234, 14.8778,
236  13.7566, 12.5543, 11.2652, 10.1549, 9.62119, 9.04886, 8.43517,
237  7.77713, 7.07154, 6.5876, 6.1804, 5.74377, 5.27559, 4.91788,
238  4.59578, 4.25041, 3.94554, 3.66775, 3.37113, 3.1483, 2.90936,
239  2.70636, 2.49938, 2.31455, 2.13199, 1.97227, 1.82904, 1.69037,
240  1.55773, 1.44345, 1.32214, 1.21823, 1.11879, 1.02699, 0.943541,
241  0.865318, 0.790944, 0.71838, 0.654724, 0.593775, 0.538298, 0.485706,
242  0.438661, 0.39295, 0.350749, 0.310202, 0.27585, 0.240929, 0.210589,
243  0.180365, 0.153786, 0.128996, 0.105807, 0.0854255, 0.0661439, 0.0488261,
244  0.0337719, 0.0204507, 0.0, 0.0, 0.0, 0.0, 0.0,
245  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
246  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
247  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
248  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
249  0.0, 0.0, 0.0, 0.0, 20.5915, 19.7609, 18.8702,
250  17.9151, 16.8911, 15.793, 14.6156, 13.3531, 11.9994, 10.6843,
251  10.1439, 9.56459, 8.94336, 8.27724, 7.56298, 7.00863, 6.58904,
252  6.13914, 5.65671, 5.2448, 4.89305, 4.51588, 4.17466, 3.89929,
253  3.60402, 3.34378, 3.07478, 2.85348, 2.64933, 2.4632, 2.27681,
254  2.10792, 1.94623, 1.79354, 1.65474, 1.53205, 1.40367, 1.2908,
255  1.19025, 1.09614, 1.00267, 0.915358, 0.842616, 0.763677, 0.698122,
256  0.629994, 0.572867, 0.516354, 0.46499, 0.417824, 0.373182, 0.331233,
257  0.293242, 0.257483, 0.223203, 0.19323, 0.164481, 0.138313, 0.113802,
258  0.0919156, 0.0715573, 0.0534062, 0.0371944, 0.0229383, 0.0114864, 0.0,
259  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
260  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
261  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
262  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
263  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 32.7539,
264  21.6871, 20.8262, 19.903, 18.9131, 17.8517, 16.7136, 15.4932,
265  14.1847, 12.7815, 11.3606, 10.7811, 10.1597, 9.49342, 8.77897,
266  8.01289, 7.39625, 6.94682, 6.46491, 5.94817, 5.50721, 5.15511,
267  4.77757, 4.41836, 4.11576, 3.79129, 3.5315, 3.27613, 3.03884,
268  2.80745, 2.60007, 2.39603, 2.22152, 2.05482, 1.8981, 1.75277,
269  1.61714, 1.48732, 1.36558, 1.25532, 1.15025, 1.05474, 0.967772,
270  0.883369, 0.802619, 0.734138, 0.664283, 0.603544, 0.545216, 0.489582,
271  0.439269, 0.391228, 0.349049, 0.309171, 0.270296, 0.23534, 0.202924,
272  0.172916, 0.145601, 0.11977, 0.0961943, 0.0753133, 0.0562492, 0.0390706,
273  0.0244936, 0.0124183, 0.0, 0.0, 0.0, 0.0, 0.0,
274  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
275  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
276  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
277  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
278  0.0, 50.6843, 33.9452, 22.7857, 21.8752, 20.8989, 19.852,
279  18.7295, 17.5258, 16.2352, 14.8513, 13.3674, 11.8996, 11.3002,
280  10.6574, 9.96825, 9.22926, 8.43686, 7.80714, 7.33205, 6.82263,
281  6.2764, 5.81131, 5.42593, 5.0127, 4.63091, 4.31847, 3.98345,
282  3.7087, 3.43212, 3.18659, 2.95138, 2.72961, 2.50765, 2.3293,
283  2.1527, 1.98216, 1.8271, 1.68804, 1.55455, 1.43044, 1.31668,
284  1.2044, 1.10406, 1.01203, 0.926671, 0.84141, 0.767593, 0.694718,
285  0.631264, 0.567964, 0.512095, 0.459074, 0.408589, 0.36382, 0.321242,
286  0.282029, 0.244798, 0.211209, 0.179204, 0.150436, 0.124625, 0.0993175,
287  0.0777734, 0.0575902, 0.0401086, 0.0249532, 0.0124573, 0.0, 0.0,
288  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
289  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
290  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
291  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
292  0.0, 0.0, 0.0, 68.4308, 51.7892, 33.9449, 23.9978,
293  23.0263, 21.9846, 20.8676, 19.6699, 18.3856, 17.0086, 15.532,
294  13.9487, 12.5007, 11.8525, 11.1575, 10.4123, 9.61315, 8.7563,
295  8.12892, 7.62688, 7.08856, 6.51134, 6.05265, 5.65795, 5.23472,
296  4.85776, 4.53243, 4.1836, 3.89654, 3.59493, 3.33835, 3.08512,
297  2.85546, 2.62748, 2.43135, 2.24761, 2.07703, 1.92403, 1.77121,
298  1.62416, 1.49344, 1.37412, 1.26436, 1.14574, 1.04975, 0.963254,
299  0.876971, 0.797556, 0.721999, 0.654819, 0.590201, 0.531008, 0.477284,
300  0.422969, 0.375653, 0.331648, 0.290342, 0.253013, 0.216627, 0.183466,
301  0.154507, 0.126145, 0.101447, 0.0785845, 0.058186, 0.0402025, 0.0242973,
302  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
303  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
304  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
305  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
306  0.0, 0.0, 0.0, 0.0, 0.0, 86.1278, 69.5561,
307  51.7869, 32.7335, 25.3992, 24.3401, 23.2045, 21.9868, 20.6811,
308  19.2811, 17.7798, 16.1701, 14.4441, 13.0782, 12.3896, 11.6511,
309  10.8593, 10.0103, 9.09987, 8.51808, 7.9905, 7.4248, 6.81822,
310  6.36258, 5.92401, 5.45376, 5.06565, 4.70799, 4.33664, 4.04436,
311  3.73096, 3.46657, 3.19144, 2.96363, 2.73838, 2.52997, 2.34102,
312  2.15827, 1.98441, 1.82507, 1.69043, 1.54519, 1.42365, 1.3032,
313  1.19004, 1.09363, 0.997958, 0.90412, 0.825453, 0.747688, 0.676044,
314  0.607577, 0.545482, 0.489542, 0.436473, 0.385512, 0.340198, 0.296913,
315  0.257027, 0.221015, 0.187142, 0.156693, 0.127573, 0.10169, 0.0784238,
316  0.0573449, 0.0389945, 0.0233074, 0.0, 0.0, 0.0, 0.0,
317  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
318  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
319  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
320  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
321  103.584, 87.0004, 69.2184, 50.1514, 29.7065, 26.4798, 25.3633,
322  24.1661, 22.8825, 21.506, 20.0301, 18.4475, 16.7506, 14.931,
323  13.7625, 13.0078, 12.1986, 11.331, 10.4006, 9.42123, 8.88564,
324  8.31134, 7.69554, 7.04231, 6.6006, 6.12697, 5.61911, 5.24261,
325  4.85846, 4.48869, 4.17985, 3.86239, 3.59847, 3.33096, 3.08792,
326  2.85644, 2.63185, 2.42161, 2.23051, 2.05896, 1.90284, 1.74996,
327  1.60113, 1.47288, 1.34927, 1.2343, 1.12675, 1.02116, 0.938294,
328  0.847661, 0.76759, 0.694249, 0.624941, 0.563808, 0.499537, 0.44423,
329  0.391826, 0.34473, 0.300969, 0.259851, 0.222873, 0.188167, 0.156476,
330  0.127107, 0.100717, 0.0768971, 0.0555412, 0.0369943, 0.021346, 0.0,
331  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
332  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
333  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
334  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
335  0.0, 0.0, 122.141, 105.355, 87.3558, 68.0558, 47.361,
336  28.8045, 27.6748, 26.4633, 25.1643, 23.7715, 22.278, 20.6765,
337  18.9593, 17.1181, 15.1437, 14.2614, 13.4666, 12.6143, 11.7005,
338  10.7206, 9.83239, 9.25383, 8.63347, 7.96828, 7.34422, 6.88806,
339  6.39892, 5.8993, 5.48582, 5.04245, 4.66569, 4.32771, 4.00604,
340  3.71666, 3.44186, 3.17814, 2.95263, 2.72871, 2.50598, 2.32437,
341  2.13408, 1.96739, 1.81186, 1.65883, 1.51867, 1.37464, 1.26643,
342  1.15428, 1.05233, 0.954656, 0.871188, 0.787074, 0.710676, 0.638413,
343  0.570939, 0.510295, 0.451512, 0.398935, 0.350954, 0.304975, 0.262999,
344  0.222541, 0.18783, 0.155047, 0.125577, 0.0982515, 0.0744576, 0.053015,
345  0.0343598, 0.0187732, 0.0, 0.0, 0.0, 0.0, 0.0,
346  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
347  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
348  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
349  0.0, 0.0, 0.0, 0.0, 142.22, 125.092, 106.725,
350  87.0319, 65.9153, 43.2726, 30.4172, 29.1857, 27.8652, 26.4493,
351  24.9311, 23.3032, 21.5576, 19.6859, 17.6789, 15.8285, 15.0035,
352  14.1189, 13.1704, 12.1534, 11.0628, 10.2554, 9.61103, 8.92011,
353  8.17926, 7.60005, 7.11518, 6.59527, 6.11554, 5.68428, 5.22185,
354  4.86033, 4.48387, 4.16135, 3.84359, 3.56547, 3.28884, 3.04062,
355  2.81502, 2.59482, 2.37212, 2.1885, 2.01764, 1.85989, 1.7006,
356  1.5609, 1.42144, 1.30232, 1.19402, 1.07635, 0.981618, 0.889279,
357  0.803551, 0.722365, 0.649039, 0.580489, 0.51472, 0.458592, 0.403679,
358  0.351709, 0.306185, 0.261526, 0.222292, 0.185976, 0.152236, 0.122729,
359  0.0951581, 0.0702823, 0.0494112, 0.0308993, 0.0, 0.0, 0.0,
360  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
361  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
362  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
363  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 161.577,
364  144.231, 125.632, 105.689, 84.3044, 61.3744, 36.7874, 31.6797,
365  30.3498, 28.9239, 27.3949, 25.7554, 23.9974, 22.1124, 20.0911,
366  17.9238, 16.4662, 15.584, 14.638, 13.6236, 12.536, 11.3697,
367  10.7108, 10.0138, 9.2663, 8.46482, 7.9415, 7.38857, 6.79567,
368  6.33711, 5.87818, 5.42308, 5.03265, 4.62806, 4.31695, 3.99306,
369  3.68198, 3.39559, 3.13072, 2.88356, 2.66465, 2.46161, 2.26699,
370  2.07992, 1.89901, 1.75083, 1.60469, 1.46065, 1.32962, 1.22315,
371  1.10427, 1.00141, 0.905324, 0.816681, 0.735256, 0.66234, 0.587343,
372  0.520853, 0.459936, 0.406176, 0.35212, 0.304187, 0.259754, 0.220018,
373  0.182271, 0.148993, 0.118319, 0.0904609, 0.066503, 0.0451075, 0.0270311,
374  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
375  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
376  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
377  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
378  0.0, 184.209, 166.333, 147.165, 126.612, 104.573, 80.9418,
379  55.6028, 34.602, 33.2325, 31.764, 30.1894, 28.501, 26.6906,
380  24.7494, 22.6679, 20.436, 18.0427, 17.0918, 16.1432, 15.1262,
381  14.0356, 12.8662, 11.8368, 11.1196, 10.3505, 9.5259, 8.77688,
382  8.21467, 7.61184, 7.01467, 6.53676, 6.02431, 5.58296, 5.16425,
383  4.77912, 4.43318, 4.10575, 3.78374, 3.50186, 3.23335, 2.98567,
384  2.74212, 2.52286, 2.32539, 2.13763, 1.96302, 1.77945, 1.64077,
385  1.49546, 1.36501, 1.23847, 1.12766, 1.01529, 0.921738, 0.830197,
386  0.745041, 0.662771, 0.5915, 0.521456, 0.462638, 0.404514, 0.351621,
387  0.301478, 0.256975, 0.215539, 0.177833, 0.143494, 0.112659, 0.0847068,
388  0.0609457, 0.0400777, 0.0227737, 0.0, 0.0, 0.0, 0.0,
389  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
390  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
391  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
392  0.0, 0.0, 0.0, 206.066, 187.874, 168.368, 147.452,
393  125.024, 100.975, 75.1887, 47.5387, 36.5609, 35.0464, 33.4225,
394  31.6812, 29.8141, 27.8121, 25.6654, 23.3635, 20.8953, 18.9159,
395  17.9185, 16.849, 15.7022, 14.4725, 13.154, 12.2875, 11.5029,
396  10.6616, 9.75958, 9.0989, 8.47545, 7.80694, 7.24501, 6.725,
397  6.18522, 5.78467, 5.35518, 4.96447, 4.555, 4.21946, 3.88875,
398  3.58754, 3.32335, 3.0685, 2.82111, 2.58451, 2.38934, 2.17332,
399  1.99361, 1.8328, 1.67318, 1.52554, 1.39048, 1.26301, 1.14312,
400  1.03189, 0.932293, 0.839039, 0.750761, 0.66855, 0.593008, 0.524795,
401  0.462046, 0.402042, 0.348842, 0.298521, 0.25264, 0.209283, 0.171676,
402  0.137718, 0.106248, 0.0793618, 0.0555294, 0.0347344, 0.0, 0.0,
403  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
404  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
405  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
406  0.0, 0.0, 0.0, 0.0, 0.0, 231.264, 212.463,
407  192.303, 170.685, 147.506, 122.651, 96.0008, 67.4241, 39.8685,
408  38.3218, 36.6633, 34.8849, 32.978, 30.9333, 28.7409, 26.39,
409  23.8692, 21.1662, 19.8255, 18.7192, 17.533, 16.261, 14.8971,
410  13.6092, 12.7825, 11.8961, 10.9456, 10.0323, 9.4042, 8.73065,
411  8.03369, 7.49932, 6.92634, 6.41142, 5.946, 5.49322, 5.09041,
412  4.70554, 4.34601, 4.02952, 3.7177, 3.40753, 3.1574, 2.90451,
413  2.6674, 2.43975, 2.23014, 2.05083, 1.87046, 1.70696, 1.5585,
414  1.41459, 1.28201, 1.16197, 1.04662, 0.949139, 0.847391, 0.754619,
415  0.673982, 0.597683, 0.524487, 0.461594, 0.399696, 0.344143, 0.293104,
416  0.245735, 0.203182, 0.164223, 0.130496, 0.0992032, 0.0724097, 0.0487884,
417  0.0291494, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
418  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
419  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
420  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
421  255.228, 236.025, 215.434, 193.355, 169.68, 144.295, 117.074,
422  87.8872, 56.5907, 41.7485, 40.0526, 38.2341, 36.2842, 34.1934,
423  31.9515, 29.5476, 26.97, 24.2061, 21.829, 20.6709, 19.4292,
424  18.0978, 16.6701, 15.1393, 14.1022, 13.2331, 12.3012, 11.302,
425  10.515, 9.79008, 9.01279, 8.34535, 7.75226, 7.11977, 6.64524,
426  6.13643, 5.69934, 5.25187, 4.88197, 4.5052, 4.13828, 3.81984,
427  3.5186, 3.23222, 2.96991, 2.70834, 2.49323, 2.28065, 2.08594,
428  1.90273, 1.74009, 1.59169, 1.43864, 1.30624, 1.17712, 1.05906,
429  0.956562, 0.854153, 0.762689, 0.677233, 0.592278, 0.524349, 0.455831,
430  0.393618, 0.338128, 0.285994, 0.237838, 0.195025, 0.157374, 0.122273,
431  0.091202, 0.0650797, 0.0423467, 0.0, 0.0, 0.0, 0.0,
432  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
433  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
434  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
435  0.0, 0.0, 285.524, 265.479, 243.986, 220.939, 196.226,
436  169.728, 141.315, 110.848, 78.1797, 45.7084, 43.9396, 42.0431,
437  40.0095, 37.829, 35.4908, 32.9837, 30.2954, 27.4129, 24.322,
438  22.7284, 21.4615, 20.1029, 18.6463, 17.0843, 15.5938, 14.6817,
439  13.7037, 12.655, 11.627, 10.9008, 10.1221, 9.30675, 8.66152,
440  7.96966, 7.37138, 6.87011, 6.35996, 5.86824, 5.40597, 4.99258,
441  4.62151, 4.25847, 3.90509, 3.61102, 3.32766, 3.0482, 2.78864,
442  2.54894, 2.34818, 2.12835, 1.94811, 1.77418, 1.61595, 1.46486,
443  1.31937, 1.1906, 1.07199, 0.957478, 0.860792, 0.762586, 0.674004,
444  0.59373, 0.519266, 0.449779, 0.386652, 0.329868, 0.276061, 0.22944,
445  0.186493, 0.148021, 0.113786, 0.0832488, 0.05722, 0.0357037, 0.0,
446  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
447  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
448  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
449  0.0, 0.0, 0.0, 0.0, 317.469, 296.612, 274.249,
450  250.27, 224.557, 196.987, 167.424, 135.725, 101.734, 65.2878,
451  48.5791, 46.5896, 44.4563, 42.1688, 39.716, 37.086, 34.2658,
452  31.2419, 27.9995, 25.2506, 23.9067, 22.4656, 20.9204, 19.2636,
453  17.487, 16.2781, 15.2402, 14.1274, 12.9341, 12.0273, 11.199,
454  10.3109, 9.55847, 8.88995, 8.1797, 7.6178, 7.0153, 6.53105,
455  6.03973, 5.56555, 5.11031, 4.74648, 4.37972, 4.02384, 3.69389,
456  3.38987, 3.11737, 2.84575, 2.60102, 2.37828, 2.17817, 1.97608,
457  1.80478, 1.62864, 1.48193, 1.33497, 1.19932, 1.07781, 0.965242,
458  0.860421, 0.76291, 0.673192, 0.588033, 0.514003, 0.440929, 0.378135,
459  0.319463, 0.266283, 0.219952, 0.176021, 0.137933, 0.10421, 0.0744404,
460  0.0495522, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
461  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
462  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
463  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 353.328,
464  331.473, 308.039, 282.911, 255.968, 227.077, 196.098, 162.881,
465  127.263, 89.0713, 53.3583, 51.2598, 49.0096, 46.5969, 44.0097,
466  41.2356, 38.2611, 35.0715, 31.6515, 27.9843, 26.2561, 24.7822,
467  23.2018, 21.5072, 19.6902, 18.0074, 16.9327, 15.7803, 14.5446,
468  13.3653, 12.5173, 11.6081, 10.6779, 9.97175, 9.2146, 8.52633,
469  7.88453, 7.27495, 6.74608, 6.23061, 5.73003, 5.28735, 4.86697,
470  4.48631, 4.12871, 3.8064, 3.48711, 3.18195, 2.91514, 2.66821,
471  2.43592, 2.22521, 2.0238, 1.83475, 1.6541, 1.50033, 1.34878,
472  1.20828, 1.0862, 0.966062, 0.85772, 0.760867, 0.667529, 0.5853,
473  0.503157, 0.433464, 0.368557, 0.310308, 0.256588, 0.207502, 0.164881,
474  0.127678, 0.0937679, 0.0654928, 0.0416328, 0.0, 0.0, 0.0,
475  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
476  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
477  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
478  0.0, 391.675, 368.803, 344.277, 317.979, 289.78, 259.544,
479  227.122, 192.358, 155.081, 115.11, 72.2505, 56.6302, 54.2635,
480  51.7257, 49.0045, 46.0866, 42.9579, 39.6031, 36.0058, 32.1486,
481  29.146, 27.5942, 25.9302, 24.146, 22.2328, 20.1814, 18.8684,
482  17.6493, 16.3421, 14.9405, 13.9342, 12.967, 11.9298, 11.0953,
483  10.3279, 9.52866, 8.84056, 8.10272, 7.5409, 6.95706, 6.42893,
484  5.91517, 5.44826, 5.05654, 4.6627, 4.26548, 3.88294, 3.54546,
485  3.26972, 2.98979, 2.73767, 2.49515, 2.2595, 2.05103, 1.86235,
486  1.68087, 1.50841, 1.36122, 1.21525, 1.08675, 0.966722, 0.85388,
487  0.75666, 0.657044, 0.574219, 0.496307, 0.423329, 0.358251, 0.297345,
488  0.244022, 0.197063, 0.153627, 0.116052, 0.0838833, 0.0569189, 0.0,
489  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
490  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
491  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
492  0.0, 0.0, 0.0, 435.743, 411.591, 385.693, 357.924,
493  328.148, 296.22, 261.985, 225.276, 185.914, 143.708, 98.4509,
494  62.1579, 59.6838, 57.0309, 54.1863, 51.1361, 47.8655, 44.3585,
495  40.598, 36.5659, 32.2423, 30.5541, 28.7901, 26.8986, 24.8705,
496  22.6958, 20.8628, 19.6677, 18.3863, 17.0123, 15.729, 14.6564,
497  13.5062, 12.3981, 11.5695, 10.6811, 9.89315, 9.12195, 8.40147,
498  7.72968, 7.13615, 6.57558, 6.08371, 5.6113, 5.16788, 4.72246,
499  4.33357, 4.00427, 3.66402, 3.33364, 3.05168, 2.78626, 2.54441,
500  2.29775, 2.0892, 1.8874, 1.70639, 1.5364, 1.37483, 1.22893,
501  1.09353, 0.96891, 0.85721, 0.749677, 0.653764, 0.562724, 0.485598,
502  0.410928, 0.344763, 0.284622, 0.231486, 0.184259, 0.141667, 0.105456,
503  0.0737496, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
504  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
505  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
506  0.0, 0.0, 0.0, 0.0, 0.0, 485.36, 459.759,
507  432.308, 402.874, 371.312, 337.469, 301.181, 262.27, 220.547,
508  175.809, 127.838, 76.4003, 65.907, 63.1197, 60.131, 56.9263,
509  53.49, 49.8053, 45.8544, 41.618, 37.0754, 34.0266, 32.1668,
510  30.1727, 28.0344, 25.7416, 23.2831, 21.9517, 20.5395, 19.0253,
511  17.4016, 16.3099, 15.1525, 13.9114, 12.9281, 11.9361, 10.973,
512  10.2005, 9.39677, 8.74099, 8.0671, 7.4514, 6.85407, 6.27396,
513  5.78067, 5.32939, 4.90364, 4.49025, 4.10025, 3.75309, 3.42953,
514  3.12658, 2.83357, 2.59729, 2.34824, 2.12442, 1.91705, 1.72555,
515  1.54724, 1.38654, 1.23177, 1.09329, 0.965973, 0.852137, 0.739476,
516  0.641785, 0.554501, 0.473952, 0.395808, 0.330144, 0.270651, 0.217869,
517  0.170653, 0.129283, 0.0936502, 0.0638622, 0.0, 0.0, 0.0,
518  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
519  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
520  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
521  542.914, 515.591, 486.293, 454.877, 421.192, 385.072, 346.341,
522  304.812, 260.282, 212.533, 161.334, 106.435, 73.1159, 70.1509,
523  66.9717, 63.5628, 59.9075, 55.988, 51.7853, 47.2789, 42.4468,
524  37.8673, 35.9189, 33.8297, 31.5895, 29.1874, 26.6117, 24.6403,
525  23.0948, 21.4376, 19.6606, 18.1862, 16.9255, 15.5737, 14.3702,
526  13.3868, 12.3323, 11.4719, 10.585, 9.79126, 9.00637, 8.34759,
527  7.69251, 7.0496, 6.50009, 5.99086, 5.46508, 5.01006, 4.58502,
528  4.20466, 3.84998, 3.51089, 3.18871, 2.90457, 2.63662, 2.37847,
529  2.16082, 1.94404, 1.73962, 1.5608, 1.38524, 1.23477, 1.09083,
530  0.95966, 0.841712, 0.730026, 0.633864, 0.538573, 0.459069, 0.384643,
531  0.315955, 0.256862, 0.202767, 0.157145, 0.117476, 0.0827181, 0.0,
532  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
533  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
534  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
535  0.0, 0.0, 603.285, 574.299, 543.217, 509.889, 474.153,
536  435.834, 394.747, 350.689, 303.448, 252.793, 198.477, 140.236,
537  81.5613, 78.391, 74.9917, 71.3466, 67.4382, 63.2473, 58.7535,
538  53.935, 48.7683, 43.2281, 40.3061, 38.0109, 35.5498, 32.9109,
539  30.0813, 27.3635, 25.7207, 23.9593, 22.0706, 20.2226, 18.9899,
540  17.6681, 16.2778, 15.1693, 13.9807, 12.9037, 11.9519, 11.0114,
541  10.1744, 9.37455, 8.64709, 7.9746, 7.31853, 6.70136, 6.16344,
542  5.65649, 5.17897, 4.74965, 4.35179, 3.95969, 3.59522, 3.2709,
543  2.96938, 2.68488, 2.42432, 2.19201, 1.96722, 1.75059, 1.57205,
544  1.39649, 1.24392, 1.09076, 0.956197, 0.8327, 0.721594, 0.619718,
545  0.529006, 0.440777, 0.370243, 0.302048, 0.24147, 0.189352, 0.143725,
546  0.105266, 0.0719873, 0.0, 0.0, 0.0, 0.0, 0.0,
547  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
548  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
549  0.0, 0.0, 0.0, 0.0, 672.525, 641.56, 608.358,
550  572.757, 534.582, 493.649, 449.758, 402.694, 352.23, 298.119,
551  240.097, 177.882, 111.171, 87.0617, 83.4316, 79.5392, 75.3655,
552  70.8901, 66.0914, 60.9458, 55.4284, 49.5123, 44.912, 42.518,
553  39.951, 37.1986, 34.2472, 31.0825, 29.0472, 27.149, 25.1136,
554  22.9312, 21.3362, 19.7908, 18.1337, 16.8448, 15.684, 14.474,
555  13.4193, 12.2884, 11.3925, 10.4644, 9.71541, 8.95612, 8.21133,
556  7.54274, 6.92219, 6.36384, 5.85126, 5.32341, 4.89996, 4.46378,
557  4.05168, 3.65829, 3.35738, 3.02861, 2.74753, 2.47051, 2.21924,
558  1.998, 1.77885, 1.58452, 1.40621, 1.24049, 1.08821, 0.953092,
559  0.823738, 0.712344, 0.604194, 0.514024, 0.427251, 0.353205, 0.285511,
560  0.225532, 0.174574, 0.130448, 0.0923744, 0.0, 0.0, 0.0,
561  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
562  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
563  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 748.409,
564  715.368, 679.94, 641.951, 601.217, 557.539, 510.704, 460.485,
565  406.637, 348.897, 286.985, 220.598, 149.414, 97.4064, 93.4784,
566  89.2666, 84.7503, 79.9077, 74.7151, 69.1473, 63.177, 56.7754,
567  50.1626, 47.6231, 44.9, 41.9802, 38.8494, 35.4923, 32.6999,
568  30.6465, 28.4448, 26.084, 24.0539, 22.4805, 20.7933, 19.1601,
569  17.7721, 16.2837, 15.1083, 13.9798, 12.9321, 11.9248, 11.0018,
570  10.0873, 9.29045, 8.53788, 7.83928, 7.17338, 6.56117, 6.01902,
571  5.52454, 5.04639, 4.55965, 4.15118, 3.78244, 3.41789, 3.09412,
572  2.80635, 2.51896, 2.26193, 2.02138, 1.78249, 1.59097, 1.41176,
573  1.23894, 1.08246, 0.943307, 0.812641, 0.696276, 0.592685, 0.497327,
574  0.411699, 0.333848, 0.267742, 0.209503, 0.159944, 0.11617, 0.0,
575  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
576  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
577  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
578  0.0, 837.408, 801.837, 763.695, 722.797, 678.943, 631.92,
579  581.498, 527.433, 469.461, 407.299, 340.645, 269.174, 192.538,
580  110.364, 104.244, 99.7332, 94.8968, 89.7108, 84.1501, 78.1875,
581  71.794, 64.9384, 57.5874, 53.3777, 50.4663, 47.3444, 43.9969,
582  40.4076, 36.7818, 34.5901, 32.2401, 29.7202, 27.1452, 25.4288,
583  23.5883, 21.6148, 20.0947, 18.4751, 16.9932, 15.773, 14.5245,
584  13.3812, 12.2987, 11.4112, 10.526, 9.64492, 8.86143, 8.16453,
585  7.47616, 6.81658, 6.21625, 5.6859, 5.17866, 4.69243, 4.26994,
586  3.85643, 3.51451, 3.15042, 2.84983, 2.55689, 2.28641, 2.03879,
587  1.81084, 1.59117, 1.4093, 1.23314, 1.07833, 0.934498, 0.801423,
588  0.680126, 0.574765, 0.478083, 0.393906, 0.317029, 0.251137, 0.193759,
589  0.145352, 0.104238, 0.0, 0.0, 0.0, 0.0, 0.0,
590  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
591  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
592  0.0, 0.0, 0.0, 954.153, 915.022, 873.063, 828.072,
593  779.829, 728.1, 672.632, 613.157, 549.383, 481.0, 407.675,
594  329.051, 244.746, 154.348, 116.912, 112.032, 106.799, 101.188,
595  95.1714, 88.7201, 81.8026, 74.3853, 66.4319, 59.9796, 56.8317,
596  53.4563, 49.837, 45.9561, 41.7948, 38.99, 36.4681, 33.764,
597  30.8644, 28.6832, 26.6289, 24.4262, 22.6431, 21.0639, 19.4003,
598  17.9881, 16.4738, 15.2493, 13.9851, 12.8864, 11.8281, 10.9307,
599  10.0381, 9.18017, 8.38707, 7.67262, 7.11949, 6.40392, 5.87358,
600  5.3451, 4.82564, 4.35801, 3.97307, 3.56985, 3.2367, 2.90324,
601  2.59236, 2.3147, 2.05907, 1.82183, 1.60386, 1.41153, 1.2367,
602  1.07211, 0.921161, 0.789556, 0.667329, 0.55906, 0.460214, 0.374618,
603  0.298894, 0.233793, 0.178932, 0.130732, 0.0, 0.0, 0.0,
604  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
605  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
606  0.0, 0.0, 0.0, 0.0, 0.0, 1056.02, 1014.31,
607  969.585, 921.625, 870.2, 815.058, 755.931, 692.531, 624.55,
608  551.656, 473.494, 389.683, 299.816, 203.454, 130.898, 125.672,
609  120.069, 114.06, 107.618, 100.71, 93.3021, 85.3594, 76.8426,
610  67.9058, 64.4006, 60.642, 56.6118, 52.2904, 47.6567, 43.8082,
611  41.1077, 38.2121, 35.1071, 32.3725, 30.222, 27.916, 25.6827,
612  23.8338, 21.8513, 20.2626, 18.7489, 17.3166, 15.9301, 14.7112,
613  13.5352, 12.3746, 11.3179, 10.3965, 9.5705, 8.74422, 7.99426,
614  7.32117, 6.65723, 6.04533, 5.46915, 4.98336, 4.5119, 4.06574,
615  3.67188, 3.29165, 2.93358, 2.64411, 2.3446, 2.08248, 1.84229,
616  1.61413, 1.4181, 1.22517, 1.05886, 0.911428, 0.770415, 0.649086,
617  0.53997, 0.443325, 0.357518, 0.281117, 0.217142, 0.163823, 0.0,
618  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
619  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
620  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
621  1194.74, 1149.17, 1100.3, 1047.89, 991.704, 931.454, 866.849,
622  797.576, 723.297, 643.65, 558.246, 466.672, 368.479, 263.19,
623  150.292, 142.662, 136.478, 129.848, 122.738, 115.115, 106.94,
624  98.1752, 88.7767, 78.699, 72.9217, 68.8494, 64.4827, 59.8005,
625  54.78, 49.7388, 46.7754, 43.5979, 40.1908, 36.7157, 34.3597,
626  31.8335, 29.1247, 27.1818, 25.1083, 23.1603, 21.4591, 19.7332,
627  18.1911, 16.6634, 15.2578, 14.0589, 12.9375, 11.8241, 10.8817,
628  9.98159, 9.12941, 8.33735, 7.58843, 6.90939, 6.27651, 5.6721,
629  5.14106, 4.64472, 4.15991, 3.75657, 3.36311, 3.00158, 2.6852,
630  2.38443, 2.10185, 1.85361, 1.62952, 1.4073, 1.22003, 1.05058,
631  0.895439, 0.753476, 0.631524, 0.520513, 0.42223, 0.337383, 0.263925,
632  0.20055, 0.147601, 0.0, 0.0, 0.0, 0.0, 0.0,
633  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
634  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
635  0.0, 0.0, 1347.84, 1298.08, 1244.73, 1187.52, 1126.18,
636  1060.4, 989.875, 914.25, 833.159, 746.209, 652.975, 553.003,
637  445.806, 330.863, 207.613, 160.78, 154.081, 146.897, 139.194,
638  130.935, 122.078, 112.582, 102.4, 91.4811, 82.836, 78.3802,
639  73.6024, 68.4793, 62.986, 57.0957, 53.253, 49.7198, 45.9314,
640  41.8691, 38.9937, 36.2804, 33.3711, 30.8638, 28.4778, 26.0212,
641  24.2365, 22.3229, 20.7006, 19.0072, 17.5154, 16.0526, 14.7177,
642  13.4889, 12.3609, 11.344, 10.3964, 9.57327, 8.69805, 7.86068,
643  7.16002, 6.51277, 5.84191, 5.30327, 4.76696, 4.29059, 3.85264,
644  3.44238, 3.07013, 2.73323, 2.40751, 2.12647, 1.85841, 1.63541,
645  1.41345, 1.21839, 1.04213, 0.879721, 0.739745, 0.612818, 0.500789,
646  0.40252, 0.318486, 0.247659, 0.184519, 0.0, 0.0, 0.0,
647  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
648  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
649  0.0, 0.0, 0.0, 0.0, 1520.46, 1466.09, 1407.79,
650  1345.27, 1278.24, 1206.36, 1129.29, 1046.64, 958.028, 863.01,
651  761.124, 651.876, 534.733, 409.124, 274.437, 181.326, 174.029,
652  166.204, 157.815, 148.818, 139.172, 128.829, 117.738, 105.845,
653  93.8712, 88.9907, 83.7574, 78.1459, 72.1289, 65.6771, 60.5215,
654  56.7595, 52.7256, 48.4003, 44.6571, 41.5689, 38.2575, 35.166,
655  32.6548, 29.9621, 27.7882, 25.6358, 23.5923, 21.5626, 19.9297,
656  18.3831, 16.8206, 15.3991, 14.1151, 12.9097, 11.8025, 10.8054,
657  9.88501, 8.9662, 8.12866, 7.41196, 6.68974, 6.06211, 5.46882,
658  4.90974, 4.4173, 3.95006, 3.51693, 3.12688, 2.76944, 2.45275,
659  2.1513, 1.87544, 1.63481, 1.4084, 1.21578, 1.02863, 0.867725,
660  0.722426, 0.591064, 0.482837, 0.384345, 0.300292, 0.228855, 0.168022,
661  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
662  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
663  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1724.0,
664  1664.23, 1600.14, 1531.42, 1457.73, 1378.72, 1293.99, 1203.14,
665  1105.73, 1001.28, 889.28, 769.186, 640.413, 502.333, 354.276,
666  206.008, 197.915, 189.236, 179.931, 169.954, 159.255, 147.783,
667  135.482, 122.292, 108.149, 100.898, 95.2451, 89.1837, 82.6842,
668  75.7151, 69.0069, 64.7817, 60.2511, 55.3932, 50.6323, 47.3532,
669  43.8371, 40.1572, 37.3794, 34.4009, 31.7054, 29.3156, 26.9808,
670  24.9523, 22.9619, 21.0678, 19.3548, 17.731, 16.3019, 14.8826,
671  13.6127, 12.4288, 11.3182, 10.292, 9.33323, 8.51122, 7.65026,
672  6.95262, 6.27902, 5.62153, 5.05022, 4.53682, 4.04135, 3.60199,
673  3.18195, 2.81376, 2.46845, 2.16625, 1.88951, 1.63118, 1.40609,
674  1.20211, 1.0146, 0.846196, 0.702224, 0.575623, 0.461154, 0.364698,
675  0.280551, 0.210692, 0.0, 0.0, 0.0, 0.0, 0.0,
676  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
677  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
678  0.0, 1959.25, 1893.27, 1822.53, 1746.67, 1665.32, 1578.1,
679  1484.58, 1384.29, 1276.76, 1161.46, 1037.83, 905.261, 763.113,
680  610.691, 447.255, 272.008, 224.304, 214.855, 204.723, 193.859,
681  182.21, 169.719, 156.325, 141.963, 126.564, 115.458, 109.059,
682  102.198, 94.8403, 86.9514, 78.4925, 73.6276, 68.7883, 63.5993,
683  58.0353, 54.1715, 50.2377, 46.0197, 42.6898, 39.4602, 36.214,
684  33.5422, 30.7131, 28.5419, 26.2733, 24.1834, 22.148, 20.1923,
685  18.6436, 17.0861, 15.5998, 14.2386, 12.9417, 11.8016, 10.725,
686  9.72004, 8.78828, 7.95456, 7.19357, 6.43801, 5.77757, 5.19165,
687  4.6446, 4.14486, 3.66651, 3.26079, 2.85887, 2.51195, 2.18106,
688  1.8992, 1.64217, 1.39902, 1.18665, 0.999305, 0.831034, 0.686585,
689  0.551655, 0.442572, 0.34584, 0.262454, 0.0, 0.0, 0.0,
690  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
691  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
692  0.0, 0.0, 0.0, 2247.18, 2173.6, 2094.7, 2010.1,
693  1919.39, 1822.12, 1717.82, 1605.98, 1486.07, 1357.48, 1219.61,
694  1071.77, 913.244, 743.264, 561.0, 365.564, 256.284, 245.727,
695  234.406, 222.268, 209.252, 195.296, 180.331, 164.284, 147.078,
696  131.337, 124.373, 116.905, 108.898, 100.313, 91.1063, 84.4145,
697  79.1167, 73.436, 67.3448, 62.3306, 57.8815, 53.1108, 48.9327,
698  45.4218, 41.6572, 38.6302, 35.4585, 32.7813, 30.15, 27.7479,
699  25.3282, 23.1072, 21.2697, 19.5573, 17.8063, 16.2414, 14.8421,
700  13.5062, 12.4173, 11.1826, 10.0844, 9.15663, 8.24984, 7.41218,
701  6.68214, 5.98064, 5.35856, 4.76297, 4.21287, 3.73815, 3.30364,
702  2.90411, 2.53182, 2.18885, 1.90874, 1.63376, 1.38928, 1.17086,
703  0.980094, 0.811159, 0.661251, 0.531017, 0.419372, 0.326657, 0.0,
704  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
705  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
706  0.0, 0.0, 0.0, 0.0, 0.0, 2507.43, 2427.68,
707  2342.18, 2250.49, 2152.18, 2046.77, 1933.74, 1812.54, 1682.58,
708  1543.22, 1393.8, 1233.58, 1061.78, 877.566, 680.039, 468.236,
709  289.247, 277.671, 265.259, 251.949, 237.678, 222.376, 205.967,
710  188.373, 169.507, 149.278, 140.969, 132.887, 124.221, 114.929,
711  104.965, 96.1513, 90.1431, 83.7008, 76.7928, 70.5097, 65.9149,
712  60.9881, 56.0723, 52.1227, 47.8877, 44.1943, 40.6925, 37.3883,
713  34.349, 31.6223, 29.0779, 26.7618, 24.4265, 22.1321, 20.3517,
714  18.6565, 17.0315, 15.5236, 14.1147, 12.8656, 11.6091, 10.5293,
715  9.45559, 8.4718, 7.64098, 6.86919, 6.12659, 5.48814, 4.8551,
716  4.33248, 3.80621, 3.33221, 2.91484, 2.5517, 2.21353, 1.89451,
717  1.62825, 1.37979, 1.15692, 0.958841, 0.789376, 0.636964, 0.505915,
718  0.397855, 0.297073, 0.0, 0.0, 0.0, 0.0, 0.0,
719  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
720  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
721  2830.25, 2742.59, 2648.59, 2547.8, 2439.73, 2323.85, 2199.6,
722  2066.36, 1923.5, 1770.31, 1606.06, 1429.93, 1241.07, 1038.57,
723  821.429, 588.598, 338.941, 313.036, 299.597, 285.186, 269.734,
724  253.165, 235.398, 216.348, 195.921, 174.018, 160.768, 151.709,
725  141.997, 131.582, 120.415, 108.989, 102.529, 95.6017, 88.1742,
726  80.467, 75.2098, 69.5726, 63.528, 59.2143, 54.6999, 50.3479,
727  46.4848, 42.5896, 39.373, 36.1441, 33.1625, 30.4578, 27.9213,
728  25.7125, 23.424, 21.3267, 19.456, 17.689, 16.1044, 14.6574,
729  13.2276, 11.9659, 10.8716, 9.77892, 8.75686, 7.87137, 7.05254,
730  6.30259, 5.57879, 4.96678, 4.35855, 3.85536, 3.37065, 2.94918,
731  2.54814, 2.21169, 1.88833, 1.60972, 1.35763, 1.12884, 0.936028,
732  0.762318, 0.61145, 0.478929, 0.369585, 0.0, 0.0, 0.0,
733  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
734  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
735  0.0, 0.0, 3176.23, 3080.4, 2977.64, 2867.45, 2749.31,
736  2622.62, 2486.78, 2341.13, 2184.94, 2017.47, 1837.9, 1645.35,
737  1438.88, 1217.5, 980.115, 725.575, 452.641, 352.096, 337.403,
738  321.649, 304.756, 286.643, 267.22, 246.394, 224.063, 200.118,
739  181.354, 171.609, 161.159, 149.954, 137.939, 125.056, 116.647,
740  108.821, 100.43, 91.4316, 85.1318, 79.1551, 72.7465, 67.2981,
741  62.1241, 56.8087, 52.8488, 48.6027, 44.881, 40.9985, 37.8402,
742  34.6662, 31.6091, 29.0885, 26.6881, 24.4011, 22.2404, 20.2177,
743  18.4027, 16.6614, 15.1424, 13.6819, 12.3569, 11.19, 10.0662,
744  8.97069, 8.05884, 7.20622, 6.39406, 5.6798, 5.02415, 4.42221,
745  3.8681, 3.39628, 2.94327, 2.55829, 2.19325, 1.8681, 1.58763,
746  1.32796, 1.09825, 0.902127, 0.725626, 0.580326, 0.449377, 0.0,
747  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
748  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
749  0.0, 0.0, 0.0, 0.0, 3514.41, 3411.08, 3300.29,
750  3181.49, 3054.11, 2917.53, 2771.07, 2614.02, 2445.63, 2265.07,
751  2071.46, 1863.86, 1641.26, 1402.57, 1146.63, 872.192, 577.923,
752  391.857, 375.892, 358.773, 340.417, 320.735, 299.63, 277.0,
753  252.734, 226.715, 201.595, 191.069, 179.781, 167.678, 154.7,
754  140.785, 130.094, 121.995, 113.311, 103.999, 96.1273, 89.4219,
755  82.232, 75.6198, 70.0416, 64.0602, 59.4678, 54.8442, 50.5678,
756  46.3044, 42.7773, 39.2984, 35.7714, 32.706, 30.0339, 27.6715,
757  25.2594, 22.8945, 20.7567, 18.9746, 17.1049, 15.528, 13.985,
758  12.5946, 11.3675, 10.1769, 9.12904, 8.15373, 7.24195, 6.44642,
759  5.70199, 5.0534, 4.42883, 3.87814, 3.37455, 2.92817, 2.5209,
760  2.15658, 1.83863, 1.53796, 1.283, 1.05622, 0.857993, 0.689063,
761  0.539687, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
762  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
763  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3825.0,
764  3715.42, 3597.93, 3471.94, 3336.86, 3192.0, 3036.68, 2870.14,
765  2691.56, 2500.07, 2294.75, 2074.59, 1838.52, 1585.38, 1313.96,
766  1022.92, 710.843, 431.486, 414.357, 395.989, 376.295, 355.177,
767  332.532, 308.252, 282.216, 254.3, 224.365, 210.922, 198.757,
768  185.713, 171.726, 156.728, 143.206, 134.552, 125.272, 115.321,
769  105.965, 99.0452, 91.6258, 84.1165, 78.2361, 71.9307, 66.4805,
770  61.5079, 56.6225, 51.9897, 47.6642, 43.5829, 40.1431, 36.8355,
771  33.7119, 30.8699, 28.2882, 25.7336, 23.3615, 21.2385, 19.2261,
772  17.4243, 15.7566, 14.2457, 12.8049, 11.4915, 10.2925, 9.20057,
773  8.16634, 7.27824, 6.45195, 5.67598, 4.99534, 4.38642, 3.82318,
774  3.308, 2.87623, 2.45681, 2.09592, 1.76299, 1.4757, 1.22653,
775  0.998253, 0.804437, 0.63196, 0.482919, 0.0, 0.0, 0.0,
776  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
777  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
778  0.0, 4106.65, 3991.65, 3868.34, 3736.12, 3594.35, 3442.33,
779  3279.32, 3104.54, 2917.12, 2716.16, 2500.67, 2269.61, 2021.86,
780  1756.2, 1471.34, 1165.89, 838.377, 487.19, 441.883, 423.055,
781  402.867, 381.22, 358.009, 333.121, 306.433, 277.817, 247.134,
782  228.163, 215.681, 202.298, 187.947, 172.559, 156.574, 147.295,
783  137.346, 126.677, 115.507, 108.262, 100.494, 92.1647, 85.7608,
784  79.0997, 72.7395, 67.3559, 61.8425, 57.1155, 52.3985, 48.2071,
785  44.4271, 40.8494, 37.2577, 34.2372, 31.3276, 28.4423, 25.8683,
786  23.6496, 21.4101, 19.3896, 17.52, 15.7954, 14.2579, 12.7689,
787  11.3842, 10.1962, 9.09726, 8.091, 7.18147, 6.33402, 5.57607,
788  4.86944, 4.26633, 3.71134, 3.20416, 2.75802, 2.34246, 1.99625,
789  1.66838, 1.3944, 1.14187, 0.921589, 0.731389, 0.56395, 0.0,
790  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
791  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
792  0.0, 0.0, 0.0, 4292.53, 4175.18, 4049.35, 3914.43,
793  3769.76, 3614.63, 3448.29, 3269.93, 3078.68, 2873.61, 2653.72,
794  2417.94, 2165.12, 1894.03, 1603.35, 1291.66, 957.448, 599.082,
795  465.53, 446.333, 425.749, 403.678, 380.011, 354.634, 327.423,
796  298.246, 266.96, 242.273, 229.344, 215.481, 200.617, 184.678,
797  167.587, 156.671, 146.649, 135.902, 124.379, 115.992, 107.95,
798  99.3269, 92.0736, 85.2509, 78.1998, 72.7032, 66.8093, 61.9797,
799  56.9419, 52.3707, 48.0261, 44.2929, 40.7638, 37.3101, 34.0385,
800  31.064, 28.3097, 25.7502, 23.4443, 21.2652, 19.1959, 17.3601,
801  15.6184, 13.9721, 12.6256, 11.2435, 9.97737, 8.86735, 7.84379,
802  6.94002, 6.11906, 5.37423, 4.68379, 4.07994, 3.52128, 3.03242,
803  2.6018, 2.20072, 1.85511, 1.54866, 1.27359, 1.03188, 0.827288,
804  0.64787, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
805  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
806  0.0, 0.0, 0.0, 0.0, 0.0, 4322.73, 4207.42,
807  4083.79, 3951.21, 3809.06, 3656.63, 3493.19, 3317.94, 3130.02,
808  2928.52, 2712.46, 2480.78, 2232.36, 1965.99, 1680.37, 1374.11,
809  1045.72, 693.592, 476.712, 457.608, 437.123, 415.158, 391.605,
810  366.35, 339.271, 310.234, 279.099, 249.363, 236.576, 222.865,
811  208.164, 192.4, 175.496, 162.568, 152.576, 141.863, 130.375,
812  120.824, 112.713, 104.015, 96.0984, 89.4303, 82.2802, 76.4434,
813  70.4469, 65.1603, 59.9926, 55.65, 51.3566, 47.2361, 43.3766,
814  39.7153, 36.2498, 33.3657, 30.4231, 27.6193, 25.2121, 22.9186,
815  20.7173, 18.786, 16.8517, 15.071, 13.5563, 12.104, 10.7637,
816  9.59378, 8.48007, 7.51199, 6.59577, 5.78474, 5.05382, 4.39975,
817  3.806, 3.27482, 2.80005, 2.37809, 2.01378, 1.68505, 1.38898,
818  1.12871, 0.90602, 0.711527, 0.0, 0.0, 0.0, 0.0,
819  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
820  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
821  4274.75, 4163.29, 4043.77, 3915.61, 3778.19, 3630.84, 3472.85,
822  3303.43, 3121.77, 2926.98, 2718.12, 2494.16, 2254.02, 1996.52,
823  1720.42, 1424.36, 1106.9, 766.508, 474.45, 456.052, 436.324,
824  415.17, 392.488, 368.166, 342.087, 314.123, 284.138, 251.986,
825  237.955, 224.476, 210.022, 194.524, 177.906, 163.261, 153.729,
826  143.508, 132.548, 122.39, 114.708, 106.47, 98.2496, 91.8078,
827  84.9006, 78.714, 72.7774, 67.2935, 62.4491, 57.617, 52.7077,
828  48.9653, 45.179, 41.2949, 38.1906, 35.0361, 32.1154, 29.3328,
829  26.6369, 24.1403, 21.9404, 19.8552, 17.9146, 16.1009, 14.4059,
830  12.9187, 11.5154, 10.1592, 9.01044, 7.96404, 6.96833, 6.11379,
831  5.34413, 4.64419, 4.0155, 3.46123, 2.96399, 2.51877, 2.1285,
832  1.78103, 1.47331, 1.20535, 0.975273, 0.769488, 0.585226, 0.0,
833  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
834  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
835  0.0, 0.0, 4103.25, 3998.62, 3886.42, 3766.12, 3637.13,
836  3498.81, 3350.49, 3191.46, 3020.94, 2838.09, 2642.03, 2431.8,
837  2206.38, 1964.66, 1705.48, 1427.57, 1129.57, 810.039, 467.416,
838  441.361, 422.738, 402.77, 381.359, 358.4, 333.782, 307.385,
839  279.081, 248.73, 231.095, 218.754, 205.522, 191.333, 176.119,
840  160.768, 151.77, 142.121, 131.776, 121.126, 113.422, 105.163,
841  96.3059, 90.4778, 84.3013, 78.35, 72.9497, 67.5583, 63.0949,
842  58.5127, 53.9912, 49.9873, 46.1886, 42.5025, 39.2806, 36.0727,
843  33.0507, 30.2724, 27.6244, 25.2807, 22.9938, 20.7964, 18.7311,
844  16.7591, 15.1269, 13.4623, 12.0157, 10.6775, 9.42061, 8.3232,
845  7.30533, 6.36764, 5.55208, 4.82535, 4.15773, 3.58136, 3.05592,
846  2.60299, 2.19383, 1.84237, 1.53041, 1.24779, 1.01178, 0.800979,
847  0.620924, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
848  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
849  0.0, 0.0, 0.0, 0.0, 3826.66, 3731.2, 3628.84,
850  3519.08, 3401.39, 3275.19, 3139.88, 2994.78, 2839.2, 2672.38,
851  2493.5, 2301.7, 2096.03, 1875.5, 1639.03, 1385.48, 1113.6,
852  822.071, 509.476, 415.469, 398.428, 380.155, 360.562, 339.554,
853  317.026, 292.871, 266.971, 239.198, 218.795, 207.609, 195.613,
854  182.752, 168.96, 154.172, 145.184, 136.404, 126.99, 116.896,
855  109.75, 102.585, 94.9027, 88.7394, 82.8247, 76.7797, 71.6163,
856  66.1024, 61.9264, 57.5377, 53.4794, 49.5488, 45.8538, 42.5508,
857  39.3514, 36.2908, 33.4001, 30.7298, 28.2075, 25.9227, 23.5982,
858  21.4539, 19.3491, 17.4732, 15.6394, 14.0482, 12.4698, 11.0635,
859  9.78646, 8.60295, 7.53905, 6.55214, 5.6914, 4.93764, 4.24834,
860  3.63677, 3.11458, 2.63261, 2.21894, 1.8604, 1.55323, 1.26729,
861  1.03069, 0.821113, 0.633205, 0.0, 0.0, 0.0, 0.0,
862  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
863  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3523.11,
864  3437.04, 3344.75, 3245.78, 3139.67, 3025.89, 2903.88, 2773.06,
865  2632.78, 2482.36, 2321.08, 2148.14, 1962.7, 1763.86, 1550.65,
866  1322.03, 1076.89, 814.035, 532.184, 384.318, 368.977, 352.526,
867  334.887, 315.973, 295.692, 273.946, 250.628, 225.625, 203.348,
868  193.207, 182.334, 170.675, 158.174, 144.769, 135.168, 127.298,
869  118.86, 109.812, 102.645, 96.2938, 89.4841, 83.5394, 78.3897,
870  72.8679, 68.2242, 63.2888, 59.1515, 55.0293, 51.5325, 48.0032,
871  44.6166, 41.5647, 38.6593, 35.8592, 33.2029, 30.79, 28.309,
872  26.1353, 23.8361, 21.8259, 19.7119, 17.953, 16.0847, 14.4513,
873  12.8712, 11.4248, 10.1083, 8.83443, 7.74262, 6.72468, 5.81515,
874  4.99788, 4.28, 3.67367, 3.124, 2.6402, 2.21768, 1.86085,
875  1.5375, 1.26211, 1.03033, 0.82543, 0.640863, 0.0, 0.0,
876  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
877  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
878  0.0, 3205.29, 3128.57, 3046.31, 2958.1, 2863.51, 2762.1,
879  2653.35, 2536.74, 2411.71, 2277.64, 2133.89, 1979.74, 1814.46,
880  1637.23, 1447.19, 1243.42, 1024.92, 790.631, 539.411, 351.48,
881  337.786, 323.102, 307.356, 290.473, 272.37, 252.958, 232.144,
882  209.825, 186.489, 177.501, 167.863, 157.528, 146.447, 134.564,
883  124.65, 117.55, 109.936, 101.772, 94.6811, 89.2219, 83.3682,
884  77.6946, 72.958, 67.879, 63.6519, 59.5392, 55.6693, 51.9342,
885  48.5889, 45.3259, 42.4742, 39.7029, 37.0614, 34.5301, 32.2822,
886  30.0542, 27.7994, 25.8, 23.7227, 21.8368, 19.9708, 18.1782,
887  16.5114, 14.8137, 13.2344, 11.7428, 10.3506, 9.0893, 7.90465,
888  6.86005, 5.88945, 5.06831, 4.33471, 3.68111, 3.1129, 2.61848,
889  2.19369, 1.82929, 1.51563, 1.24298, 1.01381, 0.805426, 0.639651,
890  0.477864, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
891  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
892  0.0, 0.0, 0.0, 2880.2, 2812.67, 2740.27, 2662.63,
893  2579.38, 2490.12, 2394.41, 2291.77, 2181.73, 2063.72, 1937.2,
894  1801.52, 1656.05, 1500.05, 1332.79, 1153.44, 961.126, 754.915,
895  533.802, 319.107, 306.926, 293.865, 279.861, 264.844, 248.742,
896  231.476, 212.962, 193.111, 171.825, 161.348, 152.859, 143.756,
897  133.995, 123.529, 113.64, 107.42, 100.751, 93.6006, 86.6518,
898  81.6706, 76.3293, 70.8073, 66.7344, 62.3672, 58.3868, 54.747,
899  51.2284, 48.1612, 45.133, 42.1881, 39.6802, 37.2585, 34.9,
900  32.8548, 30.6713, 28.7345, 26.9251, 25.0664, 23.2369, 21.5983,
901  19.8987, 18.2765, 16.563, 15.0615, 13.5177, 12.0862, 10.7072,
902  9.32529, 8.14466, 7.01596, 6.02208, 5.14933, 4.37956, 3.69098,
903  3.10477, 2.60044, 2.17464, 1.79893, 1.4855, 1.21548, 0.981334,
904  0.791313, 0.625449, 0.466714, 0.0, 0.0, 0.0, 0.0,
905  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
906  0.0, 0.0, 0.0, 0.0, 0.0, 2580.73, 2521.33,
907  2457.63, 2389.34, 2316.11, 2237.58, 2153.39, 2063.1, 1966.3,
908  1862.49, 1751.19, 1631.84, 1503.86, 1366.64, 1219.5, 1061.73,
909  892.557, 711.157, 516.648, 308.083, 274.043, 262.789, 250.721,
910  237.781, 223.906, 209.029, 193.076, 175.97, 157.628, 145.921,
911  138.567, 130.683, 122.228, 113.163, 103.577, 97.8812, 91.7744,
912  85.2262, 78.2742, 74.0948, 69.6133, 64.808, 60.9634, 57.0034,
913  53.2031, 50.0809, 46.869, 44.2184, 41.5276, 39.0835, 36.7209,
914  34.4209, 32.4277, 30.4497, 28.6995, 27.1008, 25.4455, 23.9078,
915  22.3472, 20.9656, 19.4288, 18.0682, 16.5954, 15.1695, 13.7529,
916  12.3236, 10.94, 9.64145, 8.40654, 7.25522, 6.1872, 5.27267,
917  4.45316, 3.73809, 3.12175, 2.59512, 2.15344, 1.77648, 1.45305,
918  1.1875, 0.960529, 0.765016, 0.603668, 0.46201, 0.0, 0.0,
919  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
920  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
921  2309.99, 2257.86, 2201.96, 2142.02, 2077.75, 2008.84, 1934.95,
922  1855.71, 1770.76, 1679.66, 1581.97, 1477.23, 1364.92, 1244.49,
923  1115.36, 976.901, 828.432, 669.234, 498.531, 315.492, 247.647,
924  237.641, 226.911, 215.406, 203.07, 189.842, 175.658, 160.449,
925  144.141, 131.346, 124.718, 117.611, 109.99, 101.818, 93.0564,
926  87.5691, 82.5561, 77.1808, 71.417, 67.1582, 63.0436, 58.6316,
927  54.9978, 51.6204, 48.1357, 45.4382, 42.5458, 40.1116, 37.5772,
928  35.4748, 33.3934, 31.4453, 29.6357, 27.9619, 26.4392, 25.0099,
929  23.7075, 22.3481, 21.0777, 19.8813, 18.6707, 17.5009, 16.2992,
930  15.1004, 13.795, 12.5444, 11.2475, 9.92827, 8.70621, 7.49891,
931  6.42554, 5.44385, 4.56738, 3.80713, 3.16117, 2.60743, 2.14631,
932  1.75689, 1.43118, 1.16138, 0.934996, 0.74669, 0.584287, 0.450025,
933  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
934  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
935  0.0, 0.0, 2061.62, 2015.92, 1966.91, 1914.35, 1858.0,
936  1797.58, 1732.79, 1663.32, 1588.83, 1508.96, 1423.31, 1331.48,
937  1233.0, 1127.41, 1014.19, 892.792, 762.617, 623.035, 473.365,
938  312.879, 220.311, 211.632, 202.325, 192.346, 181.646, 170.173,
939  157.87, 144.679, 130.534, 117.423, 111.711, 105.587, 99.0192,
940  91.9774, 84.4266, 78.8774, 74.5466, 69.9028, 64.9234, 60.7299,
941  56.9865, 52.9726, 49.4655, 46.5879, 43.5023, 41.0801, 38.5663,
942  36.287, 33.9939, 32.0556, 30.1569, 28.5179, 26.9871, 25.502,
943  24.0586, 22.942, 21.7006, 20.6376, 19.5857, 18.5906, 17.7204,
944  16.7071, 15.6804, 14.715, 13.681, 12.5948, 11.4018, 10.2171,
945  9.00833, 7.79196, 6.67184, 5.65537, 4.72271, 3.91497, 3.21712,
946  2.64586, 2.1561, 1.7572, 1.4131, 1.14319, 0.918211, 0.729917,
947  0.570558, 0.438717, 0.322555, 0.0, 0.0, 0.0, 0.0,
948  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
949  0.0, 0.0, 0.0, 0.0, 1836.65, 1796.69, 1753.85,
950  1707.92, 1658.66, 1605.85, 1549.22, 1488.49, 1423.38, 1353.56,
951  1278.7, 1198.43, 1112.35, 1020.06, 921.091, 814.975, 701.189,
952  579.181, 448.355, 308.075, 198.225, 190.553, 182.327, 173.505,
953  164.047, 153.904, 143.029, 131.368, 118.864, 105.487, 100.59,
954  95.3383, 89.7076, 83.67, 77.1961, 71.6131, 67.5727, 63.2403,
955  58.5949, 54.4805, 51.3515, 47.9964, 44.7371, 42.1299, 39.3342,
956  36.9223, 34.576, 32.5374, 30.7714, 28.9909, 27.1442, 25.7641,
957  24.41, 23.1095, 21.8901, 20.8296, 19.7611, 18.8314, 17.9842,
958  17.1555, 16.3837, 15.6286, 14.8576, 14.1438, 13.2571, 12.4239,
959  11.4164, 10.3893, 9.27246, 8.10473, 6.99188, 5.91963, 4.94374,
960  4.07113, 3.33534, 2.70539, 2.19176, 1.75861, 1.41131, 1.1321,
961  0.899701, 0.716502, 0.55527, 0.431945, 0.315419, 0.0, 0.0,
962  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
963  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1647.42,
964  1612.22, 1574.49, 1534.02, 1490.63, 1444.11, 1394.22, 1340.73,
965  1283.37, 1221.86, 1155.92, 1085.2, 1009.38, 928.074, 840.894,
966  747.415, 647.179, 539.701, 424.454, 300.88, 178.713, 171.968,
967  164.735, 156.98, 148.664, 139.747, 130.186, 119.934, 108.941,
968  97.1533, 91.1168, 86.2846, 81.1032, 75.5473, 69.5899, 63.9292,
969  60.4859, 56.7939, 52.835, 48.9754, 46.2957, 43.4224, 40.4226,
970  38.0967, 35.6028, 33.3541, 31.35, 29.4316, 27.8301, 26.2311,
971  24.6632, 23.3116, 22.0134, 20.768, 19.8314, 18.807, 17.8781,
972  17.0329, 16.2503, 15.6306, 15.0462, 14.4074, 13.8011, 13.2335,
973  12.6504, 11.9688, 11.2281, 10.3625, 9.43359, 8.38476, 7.28206,
974  6.22314, 5.20988, 4.28797, 3.49506, 2.81242, 2.24579, 1.79361,
975  1.42599, 1.12849, 0.891231, 0.701236, 0.546771, 0.419734, 0.311819,
976  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
977  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
978  0.0, 1480.1, 1449.01, 1415.68, 1379.94, 1341.61, 1300.51,
979  1256.45, 1209.2, 1158.53, 1104.21, 1045.95, 983.492, 916.516,
980  844.7, 767.694, 685.123, 596.585, 501.648, 399.85, 290.696,
981  173.654, 154.444, 148.07, 141.236, 133.908, 126.05, 117.625,
982  108.59, 98.9031, 88.5158, 81.8535, 77.6396, 73.1212, 68.2762,
983  63.0811, 57.5957, 54.6628, 51.518, 48.1459, 44.5573, 42.0223,
984  39.304, 36.3893, 34.3204, 32.2339, 30.1852, 28.3925, 26.5564,
985  25.0936, 23.613, 22.2831, 21.0422, 19.8637, 18.7944, 17.8203,
986  16.953, 16.1699, 15.4498, 14.8173, 14.1254, 13.5646, 13.0937,
987  12.6681, 12.1564, 11.7887, 11.3407, 10.8002, 10.1688, 9.42002,
988  8.58398, 7.56671, 6.54532, 5.53413, 4.5494, 3.68235, 2.94443,
989  2.33681, 1.85133, 1.45317, 1.13803, 0.893289, 0.696042, 0.539412,
990  0.41236, 0.305364, 0.0, 0.0, 0.0, 0.0, 0.0,
991  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
992  0.0, 0.0, 0.0, 1336.86, 1309.23, 1279.61, 1247.84,
993  1213.78, 1177.26, 1138.1, 1096.11, 1051.08, 1002.8, 951.029,
994  895.518, 835.995, 772.171, 703.734, 630.352, 551.666, 467.294,
995  376.825, 279.818, 175.8, 138.922, 133.351, 127.379, 120.974,
996  114.106, 106.743, 98.8467, 90.3802, 81.3018, 74.2682, 70.5596,
997  66.5831, 62.3192, 57.7472, 52.8448, 49.7519, 46.8684, 43.7765,
998  40.4611, 38.0581, 35.7255, 33.2242, 31.1977, 29.3134, 27.3715,
999  25.8102, 24.1362, 22.742, 21.2936, 20.1363, 19.0188, 18.0106,
1000  17.0263, 16.1172, 15.3111, 14.5914, 13.9283, 13.287, 12.748,
1001  12.2835, 11.8826, 11.5002, 11.1371, 10.8736, 10.5428, 10.2233,
1002  9.7997, 9.29087, 8.58807, 7.80215, 6.81239, 5.82751, 4.8562,
1003  3.92904, 3.13542, 2.46074, 1.92354, 1.49824, 1.1696, 0.899744,
1004  0.695731, 0.533999, 0.409233, 0.303698, 0.0, 0.0, 0.0,
1005  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1006  0.0, 0.0, 0.0, 0.0, 0.0, 1198.91, 1174.57,
1007  1148.48, 1120.5, 1090.49, 1058.32, 1023.83, 986.841, 947.18,
1008  904.653, 859.052, 810.157, 757.727, 701.509, 641.228, 576.591,
1009  507.282, 432.965, 353.277, 267.83, 176.209, 126.209, 121.231,
1010  115.893, 110.17, 104.033, 97.452, 90.3957, 82.8295, 74.7165,
1011  67.3713, 64.0904, 60.5723, 56.8, 52.7551, 48.4179, 45.219,
1012  42.5979, 39.7873, 36.7737, 34.405, 32.3629, 30.1733, 28.2466,
1013  26.5937, 24.8213, 23.422, 21.9504, 20.6379, 19.3119, 18.2345,
1014  17.1847, 16.2802, 15.4102, 14.5946, 13.8728, 13.2016, 12.564,
1015  11.9582, 11.5581, 11.0938, 10.7245, 10.3945, 10.1151, 9.84794,
1016  9.68143, 9.46246, 9.23161, 8.92482, 8.4552, 7.84706, 7.06062,
1017  6.13109, 5.15163, 4.20437, 3.34782, 2.61878, 2.03139, 1.56332,
1018  1.19435, 0.918336, 0.702409, 0.535997, 0.404333, 0.29965, 0.210922,
1019  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1020  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1021  1090.42, 1068.62, 1045.25, 1020.2, 993.327, 964.515, 933.622,
1022  900.496, 864.976, 826.889, 786.05, 742.259, 695.304, 644.956,
1023  590.969, 533.08, 471.008, 404.45, 333.082, 256.557, 174.501,
1024  114.125, 109.73, 105.017, 99.963, 94.5441, 88.7335, 82.5031,
1025  75.8224, 68.6588, 61.2246, 58.2582, 55.0775, 51.6669, 48.0099,
1026  44.0886, 40.8936, 38.671, 36.2877, 33.7321, 31.4503, 29.5677,
1027  27.5489, 25.6457, 24.1584, 22.5636, 21.2569, 19.9863, 18.7709,
1028  17.5754, 16.5745, 15.6324, 14.7924, 13.9535, 13.153, 12.4974,
1029  11.8757, 11.3239, 10.8795, 10.4254, 10.0181, 9.66935, 9.36208,
1030  9.14593, 8.94493, 8.7938, 8.66399, 8.5055, 8.40468, 8.16376,
1031  7.7416, 7.17077, 6.37414, 5.46044, 4.51458, 3.60437, 2.82577,
1032  2.15973, 1.64548, 1.25171, 0.947104, 0.718289, 0.539899, 0.403549,
1033  0.299609, 0.210187, 0.0, 0.0, 0.0, 0.0, 0.0,
1034  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1035  0.0, 0.0, 986.022, 966.652, 945.881, 923.61, 899.729,
1036  874.122, 846.664, 817.223, 785.654, 751.803, 715.506, 676.586,
1037  634.853, 590.104, 542.122, 490.672, 435.504, 376.349, 312.919,
1038  244.905, 171.976, 104.44, 100.469, 96.2109, 91.6453, 86.7497,
1039  81.5003, 75.8716, 69.8361, 63.3645, 56.4252, 53.1571, 50.321,
1040  47.2799, 44.0191, 40.5227, 37.3133, 35.2921, 33.1249, 30.8011,
1041  28.5762, 26.9209, 25.146, 23.3454, 22.0366, 20.6333, 19.3711,
1042  18.2001, 17.0816, 16.0925, 15.1406, 14.2261, 13.4774, 12.7438,
1043  12.0058, 11.4457, 10.806, 10.28, 9.84782, 9.43044, 9.06775,
1044  8.72898, 8.46596, 8.25226, 8.08431, 7.93976, 7.84998, 7.8216,
1045  7.75717, 7.65434, 7.45469, 7.12362, 6.50736, 5.73457, 4.83352,
1046  3.88862, 3.04715, 2.32672, 1.75336, 1.3157, 0.98124, 0.736174,
1047  0.550269, 0.408301, 0.301983, 0.212243, 0.0, 0.0, 0.0,
1048  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1049  0.0, 0.0, 0.0, 0.0, 903.545, 886.064, 867.32,
1050  847.222, 825.671, 802.563, 777.785, 751.216, 722.727, 692.179,
1051  659.424, 624.301, 586.64, 546.258, 502.957, 456.528, 406.742,
1052  353.359, 296.118, 234.741, 168.927, 98.3581, 91.9059, 88.053,
1053  83.9216, 79.4917, 74.7417, 69.6483, 64.1869, 58.3308, 52.0515,
1054  48.3831, 45.9012, 43.24, 40.3865, 37.3267, 34.2122, 32.3832,
1055  30.422, 28.3191, 26.1525, 24.7051, 23.1531, 21.489, 20.2447,
1056  18.9302, 17.6901, 16.6238, 15.5584, 14.6966, 13.8162, 12.9621,
1057  12.2353, 11.5713, 10.9458, 10.3898, 9.83962, 9.36706, 8.9828,
1058  8.5608, 8.18641, 7.90479, 7.64537, 7.44707, 7.28834, 7.18349,
1059  7.07302, 7.04774, 7.05718, 7.10297, 7.01199, 6.85502, 6.51192,
1060  5.93936, 5.1039, 4.1966, 3.30903, 2.52895, 1.88699, 1.39924,
1061  1.03331, 0.76024, 0.563701, 0.415259, 0.301498, 0.21436, 0.0,
1062  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1063  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 818.964,
1064  803.378, 786.665, 768.745, 749.53, 728.926, 706.833, 683.143,
1065  657.742, 630.505, 601.299, 569.983, 536.404, 500.398, 461.79,
1066  420.391, 376.002, 328.404, 277.366, 222.64, 163.96, 101.038,
1067  84.1695, 80.7234, 77.0283, 73.0661, 68.8175, 64.2619, 59.3771,
1068  54.1393, 48.523, 44.5299, 42.2776, 39.8625, 37.2728, 34.4961,
1069  31.5186, 29.7659, 28.0072, 26.1215, 24.0995, 22.7106, 21.2944,
1070  19.7759, 18.5864, 17.4328, 16.2743, 15.3162, 14.3038, 13.54,
1071  12.7346, 11.947, 11.2397, 10.6299, 9.99947, 9.46735, 8.99449,
1072  8.53246, 8.11847, 7.75898, 7.45143, 7.15911, 6.91629, 6.72122,
1073  6.57591, 6.46913, 6.39861, 6.37585, 6.3987, 6.44426, 6.50994,
1074  6.48845, 6.35225, 5.9804, 5.32811, 4.50426, 3.59866, 2.74778,
1075  2.05125, 1.50691, 1.09801, 0.801816, 0.583157, 0.425116, 0.307515,
1076  0.215072, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1077  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1078  0.0, 754.084, 739.944, 724.783, 708.526, 691.094, 672.402,
1079  652.36, 630.869, 607.825, 583.116, 556.621, 528.211, 497.748,
1080  465.084, 430.06, 392.504, 352.234, 309.054, 262.753, 213.106,
1081  159.872, 102.79, 77.4279, 74.3067, 70.96, 67.3713, 63.5234,
1082  59.3973, 54.9731, 50.2291, 45.1423, 40.9094, 38.8964, 36.7378,
1083  34.4233, 31.9415, 29.2804, 27.4607, 25.8662, 24.1566, 22.3233,
1084  20.9347, 19.6534, 18.2795, 17.1187, 16.0777, 14.9771, 14.1231,
1085  13.2073, 12.4055, 11.5733, 10.9623, 10.339, 9.73095, 9.18386,
1086  8.68286, 8.23476, 7.81459, 7.41821, 7.08475, 6.79363, 6.52271,
1087  6.31219, 6.09093, 5.94268, 5.81847, 5.76251, 5.7449, 5.75503,
1088  5.8281, 5.93322, 6.01352, 6.04626, 5.86479, 5.45073, 4.73569,
1089  3.88919, 3.03269, 2.24981, 1.63612, 1.17944, 0.847838, 0.606696,
1090  0.437192, 0.31325, 0.219739, 0.0, 0.0, 0.0, 0.0,
1091  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1092  0.0, 0.0, 0.0, 692.908, 680.102, 666.371, 651.648,
1093  635.86, 618.932, 600.78, 581.316, 560.446, 538.068, 514.072,
1094  488.343, 460.754, 431.171, 399.45, 365.437, 328.966, 289.859,
1095  247.926, 202.963, 154.75, 103.053, 70.9975, 68.1974, 65.195,
1096  61.9756, 58.5235, 54.8219, 50.8529, 46.597, 42.0336, 37.6725,
1097  35.8661, 33.9291, 31.8521, 29.625, 27.237, 25.3856, 23.9379,
1098  22.3855, 20.7209, 19.3361, 18.1644, 16.908, 15.7666, 14.8127,
1099  13.79, 13.0078, 12.2158, 11.4838, 10.7512, 10.1197, 9.50092,
1100  8.96842, 8.45686, 7.97872, 7.56019, 7.15431, 6.81283, 6.49158,
1101  6.21754, 5.93392, 5.73317, 5.54704, 5.39453, 5.2926, 5.21097,
1102  5.19516, 5.19809, 5.26773, 5.36727, 5.50621, 5.6112, 5.6464,
1103  5.43721, 4.91992, 4.1788, 3.29704, 2.47333, 1.79277, 1.27199,
1104  0.905712, 0.64097, 0.455699, 0.322863, 0.225045, 0.149671, 0.0,
1105  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1106  0.0, 0.0, 0.0, 0.0, 0.0, 638.038, 626.43,
1107  613.983, 600.637, 586.326, 570.98, 554.526, 536.883, 517.965,
1108  497.679, 475.928, 452.604, 427.595, 400.779, 372.025, 341.193,
1109  308.133, 272.683, 234.672, 193.914, 150.21, 103.348, 66.0426,
1110  63.4721, 60.7158, 57.7603, 54.5913, 51.1932, 47.5496, 43.6426,
1111  39.4533, 34.9612, 33.2756, 31.4983, 29.5926, 27.5491, 25.358,
1112  23.475, 22.1596, 20.7492, 19.2368, 17.8848, 16.8554, 15.7517,
1113  14.6681, 13.7854, 12.839, 12.0551, 11.315, 10.6206, 9.96759,
1114  9.36065, 8.76427, 8.27955, 7.81378, 7.37637, 6.95221, 6.60157,
1115  6.26655, 5.9594, 5.68623, 5.4626, 5.23722, 5.06645, 4.9143,
1116  4.80182, 4.72418, 4.69026, 4.6952, 4.74025, 4.82853, 4.97419,
1117  5.13891, 5.29328, 5.26208, 4.9926, 4.38578, 3.57459, 2.71684,
1118  1.972, 1.39222, 0.97488, 0.6821, 0.477659, 0.330775, 0.231142,
1119  0.154412, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1120  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1121  588.194, 577.649, 566.342, 554.219, 541.218, 527.279, 512.332,
1122  496.305, 479.119, 460.692, 440.933, 419.746, 397.028, 372.668,
1123  346.548, 318.54, 288.508, 256.306, 221.777, 184.752, 145.052,
1124  102.482, 61.1269, 58.8068, 56.3191, 53.6516, 50.7913, 47.7243,
1125  44.4357, 40.9094, 37.1283, 33.074, 31.0459, 29.3886, 27.6116,
1126  25.7061, 23.6629, 21.7404, 20.5632, 19.3008, 17.9473, 16.6272,
1127  15.6639, 14.631, 13.5651, 12.8001, 11.9798, 11.2162, 10.5012,
1128  9.81971, 9.24563, 8.68347, 8.14269, 7.66401, 7.21326, 6.81537,
1129  6.42522, 6.0882, 5.7896, 5.5005, 5.22782, 4.99311, 4.8204,
1130  4.61442, 4.48107, 4.36277, 4.28165, 4.24751, 4.23916, 4.26269,
1131  4.34651, 4.47498, 4.68476, 4.87883, 5.00372, 4.93189, 4.53071,
1132  3.83489, 2.97583, 2.1816, 1.52815, 1.05937, 0.728799, 0.503812,
1133  0.347462, 0.237496, 0.15793, 0.0, 0.0, 0.0, 0.0,
1134  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1135  0.0, 0.0, 546.818, 537.148, 526.779, 515.661, 503.739,
1136  490.956, 477.248, 462.551, 446.791, 429.892, 411.772, 392.343,
1137  371.509, 349.17, 325.217, 299.532, 271.991, 242.46, 210.795,
1138  176.842, 140.434, 101.396, 59.5366, 54.5199, 52.2585, 49.8336,
1139  47.2335, 44.4455, 41.456, 38.2505, 34.8133, 31.1277, 28.8685,
1140  27.3614, 25.7455, 24.0127, 22.1548, 20.238, 19.1721, 18.0292,
1141  16.8037, 15.5226, 14.6379, 13.6894, 12.6722, 11.9396, 11.1792,
1142  10.4414, 9.78705, 9.1281, 8.60471, 8.06928, 7.55585, 7.12217,
1143  6.73025, 6.33583, 5.96, 5.62885, 5.33459, 5.06242, 4.82396,
1144  4.60328, 4.41614, 4.24579, 4.1162, 3.99835, 3.90624, 3.86158,
1145  3.827, 3.86409, 3.91359, 4.02798, 4.20475, 4.42266, 4.64233,
1146  4.74498, 4.5708, 4.04983, 3.25036, 2.41401, 1.69464, 1.16522,
1147  0.785457, 0.535834, 0.365739, 0.247557, 0.163414, 0.0, 0.0,
1148  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1149  0.0, 0.0, 0.0, 0.0, 506.435, 497.611, 488.148,
1150  478.001, 467.122, 455.456, 442.946, 429.533, 415.151, 399.729,
1151  383.193, 365.462, 346.449, 326.062, 304.202, 280.762, 255.629,
1152  228.679, 199.781, 168.795, 135.57, 99.9436, 61.7426, 50.911,
1153  48.8256, 46.5894, 44.1917, 41.6207, 38.8639, 35.9079, 32.7382,
1154  29.3395, 26.8801, 25.5042, 24.0288, 22.4469, 20.7506, 18.9317,
1155  17.8686, 16.8202, 15.696, 14.4905, 13.6326, 12.7619, 11.8283,
1156  11.1082, 10.4216, 9.723, 9.12341, 8.48643, 7.99905, 7.49013,
1157  7.03011, 6.60481, 6.22709, 5.86671, 5.53493, 5.22996, 4.95057,
1158  4.71193, 4.47083, 4.25569, 4.06732, 3.91411, 3.76006, 3.66174,
1159  3.57667, 3.51628, 3.49615, 3.48961, 3.53553, 3.62902, 3.79261,
1160  4.00947, 4.23559, 4.45214, 4.48441, 4.16871, 3.50988, 2.66421,
1161  1.89003, 1.28224, 0.857329, 0.575916, 0.386595, 0.259978, 0.168843,
1162  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1163  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 470.998,
1164  462.909, 454.236, 444.935, 434.963, 424.27, 412.804, 400.509,
1165  387.326, 373.19, 358.033, 341.781, 324.353, 305.667, 285.63,
1166  264.145, 241.107, 216.404, 189.916, 161.514, 131.06, 98.4044,
1167  63.3891, 47.7463, 45.8222, 43.7591, 41.5468, 39.1747, 36.6312,
1168  33.9038, 30.9794, 27.8436, 25.2251, 23.9713, 22.6269, 21.1853,
1169  19.6396, 17.9821, 16.844, 15.8467, 14.7773, 13.6307, 12.7674,
1170  11.975, 11.1253, 10.4052, 9.75885, 9.07507, 8.54711, 7.98099,
1171  7.50701, 7.01957, 6.59743, 6.17867, 5.80233, 5.48758, 5.18486,
1172  4.88346, 4.59102, 4.37279, 4.14529, 3.94355, 3.77288, 3.62636,
1173  3.48549, 3.36775, 3.29104, 3.22704, 3.18032, 3.16675, 3.21042,
1174  3.28964, 3.40266, 3.59283, 3.833, 4.09495, 4.27674, 4.17966,
1175  3.7041, 2.92238, 2.10504, 1.42345, 0.944566, 0.621767, 0.4135,
1176  0.273211, 0.178323, 0.0, 0.0, 0.0, 0.0, 0.0,
1177  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1178  0.0, 441.337, 433.853, 425.829, 417.224, 407.998, 398.105,
1179  387.497, 376.122, 363.925, 350.847, 336.824, 321.787, 305.663,
1180  288.375, 269.837, 249.959, 228.645, 205.791, 181.285, 155.007,
1181  126.831, 96.6191, 64.2234, 44.4876, 42.7268, 40.8387, 38.8142,
1182  36.6434, 34.3158, 31.8199, 29.1436, 26.274, 23.5529, 22.413,
1183  21.1908, 19.8802, 18.4748, 16.968, 15.8003, 14.8732, 13.8792,
1184  12.8133, 11.9526, 11.2413, 10.4785, 9.77629, 9.16887, 8.51756,
1185  8.01566, 7.50389, 7.03459, 6.56511, 6.18585, 5.81409, 5.45461,
1186  5.14674, 4.85782, 4.55241, 4.30865, 4.07565, 3.86227, 3.66634,
1187  3.50053, 3.34868, 3.21821, 3.10694, 3.02351, 2.9563, 2.90816,
1188  2.90243, 2.91685, 2.97123, 3.07501, 3.22812, 3.45457, 3.71215,
1189  3.99915, 4.11795, 3.83027, 3.16144, 2.33151, 1.59181, 1.04777,
1190  0.681063, 0.442228, 0.287981, 0.186446, 0.114689, 0.0, 0.0,
1191  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1192  0.0, 0.0, 0.0, 412.021, 405.128, 397.737, 389.811,
1193  381.312, 372.2, 362.429, 351.951, 340.717, 328.67, 315.753,
1194  301.903, 287.052, 271.127, 254.052, 235.742, 216.11, 195.058,
1195  172.486, 148.282, 122.328, 94.4998, 64.66, 41.6335, 40.0274,
1196  38.3052, 36.4586, 34.4785, 32.3553, 30.0786, 27.6375, 25.0199,
1197  22.2394, 21.1656, 20.0141, 18.7794, 17.4555, 16.036, 14.8383,
1198  13.999, 13.0989, 12.1338, 11.2761, 10.6071, 9.88983, 9.19753,
1199  8.6464, 8.05544, 7.54551, 7.04675, 6.58699, 6.1572, 5.77726,
1200  5.41248, 5.10293, 4.80234, 4.521, 4.27352, 4.02163, 3.80525,
1201  3.60773, 3.43912, 3.2635, 3.13326, 2.99493, 2.87921, 2.79936,
1202  2.72247, 2.66871, 2.65736, 2.66356, 2.68635, 2.77301, 2.91054,
1203  3.11239, 3.35234, 3.65749, 3.88081, 3.86173, 3.3725, 2.5748,
1204  1.77854, 1.16751, 0.744828, 0.478933, 0.308044, 0.196193, 0.121189,
1205  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1206  0.0, 0.0, 0.0, 0.0, 0.0, 386.356, 379.982,
1207  373.147, 365.819, 357.961, 349.535, 340.5, 330.812, 320.424,
1208  309.286, 297.342, 284.535, 270.803, 256.079, 240.29, 223.36,
1209  205.207, 185.742, 164.87, 142.49, 118.493, 92.761, 65.1698,
1210  39.3932, 37.8936, 36.2855, 34.5613, 32.7124, 30.7299, 28.6042,
1211  26.3248, 23.8808, 21.2601, 20.0137, 18.9446, 17.7982, 16.569,
1212  15.251, 14.0276, 13.2351, 12.3853, 11.4741, 10.6075, 9.99249,
1213  9.33308, 8.65799, 8.14073, 7.5861, 7.09059, 6.63628, 6.20153,
1214  5.81824, 5.45923, 5.12661, 4.81051, 4.50964, 4.24622, 4.00166,
1215  3.77631, 3.57494, 3.37944, 3.19274, 3.05459, 2.8917, 2.78458,
1216  2.6792, 2.59011, 2.51992, 2.46297, 2.43222, 2.4416, 2.45641,
1217  2.51617, 2.63008, 2.7786, 3.01189, 3.29995, 3.6181, 3.76509,
1218  3.48551, 2.81057, 1.98978, 1.29708, 0.830189, 0.520567, 0.330113,
1219  0.207349, 0.127533, 0.0, 0.0, 0.0, 0.0, 0.0,
1220  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1221  365.21, 359.262, 352.884, 346.045, 338.711, 330.848, 322.417,
1222  313.376, 303.682, 293.287, 282.141, 270.19, 257.375, 243.634,
1223  228.9, 213.101, 196.16, 177.995, 158.517, 137.632, 115.237,
1224  91.2244, 65.476, 37.8669, 35.8456, 34.3456, 32.7373, 31.0127,
1225  29.1635, 27.1806, 25.0544, 22.7746, 20.33, 18.9007, 17.8863,
1226  16.7985, 15.6322, 14.3815, 13.1258, 12.4236, 11.6707, 10.8633,
1227  10.0371, 9.47256, 8.86725, 8.2182, 7.72325, 7.19589, 6.70383,
1228  6.28222, 5.85924, 5.50023, 5.1482, 4.83326, 4.53583, 4.24905,
1229  3.99849, 3.7762, 3.55859, 3.35196, 3.17045, 3.00711, 2.85157,
1230  2.7184, 2.60016, 2.48646, 2.40802, 2.33415, 2.28212, 2.24191,
1231  2.23129, 2.2455, 2.29214, 2.37622, 2.50924, 2.7087, 2.98766,
1232  3.29375, 3.5808, 3.53537, 3.01795, 2.21414, 1.46512, 0.921961,
1233  0.572695, 0.356171, 0.2218, 0.134445, 0.0, 0.0, 0.0,
1234  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1235  0.0, 0.0, 344.142, 338.608, 332.673, 326.31, 319.487,
1236  312.171, 304.326, 295.915, 286.895, 277.223, 266.853, 255.733,
1237  243.81, 231.025, 217.316, 202.616, 186.854, 169.953, 151.83,
1238  132.398, 111.562, 89.2195, 65.2626, 39.5744, 33.8123, 32.4169,
1239  30.9207, 29.3164, 27.5961, 25.7515, 23.7736, 21.6528, 19.3787,
1240  17.8273, 16.9088, 15.924, 14.868, 13.7356, 12.5215, 11.8304,
1241  11.1099, 10.3374, 9.50902, 8.95551, 8.37623, 7.75509, 7.2857,
1242  6.8235, 6.36123, 5.96104, 5.5441, 5.22502, 4.89663, 4.60111,
1243  4.31322, 4.03299, 3.78777, 3.5631, 3.35627, 3.16393, 2.98551,
1244  2.82199, 2.68029, 2.55179, 2.43836, 2.34006, 2.24481, 2.17059,
1245  2.10786, 2.07022, 2.05491, 2.05652, 2.08911, 2.14974, 2.27371,
1246  2.44155, 2.67183, 2.98104, 3.32454, 3.48963, 3.17456, 2.43647,
1247  1.64238, 1.02904, 0.629242, 0.384836, 0.238032, 0.143045, 0.0,
1248  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1249  0.0, 0.0, 0.0, 0.0, 324.486, 319.336, 313.813,
1250  307.891, 301.542, 294.733, 287.432, 279.604, 271.21, 262.21,
1251  252.558, 242.21, 231.114, 219.215, 206.457, 192.777, 178.108,
1252  162.38, 145.514, 127.43, 108.039, 87.246, 64.9509, 41.0445,
1253  32.0757, 30.7802, 29.3911, 27.9016, 26.3044, 24.5919, 22.7555,
1254  20.7865, 18.6752, 17.0045, 16.1277, 15.1875, 14.1793, 13.0984,
1255  11.9393, 11.2119, 10.5507, 9.84166, 9.08141, 8.52136, 7.98274,
1256  7.40518, 6.93062, 6.49177, 6.03725, 5.67764, 5.29204, 4.98019,
1257  4.65542, 4.36157, 4.06914, 3.7935, 3.58423, 3.37337, 3.16652,
1258  2.9901, 2.82064, 2.66108, 2.53138, 2.40316, 2.2925, 2.17947,
1259  2.09689, 2.02422, 1.97244, 1.92048, 1.90758, 1.89588, 1.92029,
1260  1.96153, 2.05442, 2.19211, 2.39089, 2.68079, 3.0351, 3.30548,
1261  3.24349, 2.66046, 1.84256, 1.16072, 0.70198, 0.422156, 0.256028,
1262  0.153071, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1263  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 307.282,
1264  302.463, 297.297, 291.757, 285.817, 279.447, 272.617, 265.294,
1265  257.441, 249.021, 239.992, 230.311, 219.93, 208.8, 196.864,
1266  184.066, 170.344, 155.629, 139.851, 122.933, 104.793, 85.341,
1267  64.4836, 42.119, 30.3578, 29.1489, 27.8525, 26.4625, 24.972,
1268  23.3738, 21.6602, 19.8226, 17.8523, 16.0941, 15.2919, 14.4318,
1269  13.5095, 12.5205, 11.4601, 10.6958, 10.067, 9.39269, 8.66967,
1270  8.09589, 7.58739, 7.04215, 6.57152, 6.17034, 5.74016, 5.38583,
1271  5.00975, 4.69739, 4.38739, 4.11993, 3.8554, 3.62263, 3.40292,
1272  3.19453, 3.00269, 2.82573, 2.66214, 2.5149, 2.38571, 2.25867,
1273  2.15373, 2.0566, 1.97356, 1.89975, 1.84257, 1.79181, 1.75761,
1274  1.7536, 1.76451, 1.79863, 1.86777, 1.99037, 2.15387, 2.40403,
1275  2.74487, 3.08682, 3.22957, 2.84285, 2.05651, 1.31244, 0.785905,
1276  0.465935, 0.277607, 0.164858, 0.0, 0.0, 0.0, 0.0,
1277  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1278  0.0, 291.716, 287.2, 282.359, 277.167, 271.6, 265.631,
1279  259.231, 252.368, 245.009, 237.118, 228.657, 219.584, 209.856,
1280  199.425, 188.24, 176.247, 163.387, 149.598, 134.812, 118.957,
1281  101.957, 83.7284, 64.1823, 43.2237, 29.042, 27.9006, 26.6768,
1282  25.3646, 23.9575, 22.4488, 20.831, 19.0963, 17.2363, 15.3831,
1283  14.6277, 13.8177, 12.9492, 12.0179, 11.0194, 10.2176, 9.61243,
1284  8.96353, 8.26774, 7.69202, 7.2411, 6.75759, 6.29972, 5.90855,
1285  5.48912, 5.14662, 4.80381, 4.48872, 4.18096, 3.9234, 3.67503,
1286  3.44637, 3.22709, 3.02409, 2.85147, 2.68849, 2.53276, 2.38507,
1287  2.25128, 2.13968, 2.03958, 1.93883, 1.85655, 1.78018, 1.72297,
1288  1.67773, 1.64204, 1.63243, 1.63199, 1.65384, 1.70751, 1.80166,
1289  1.94061, 2.15642, 2.45486, 2.83176, 3.11274, 2.95321, 2.27342,
1290  1.48071, 0.878595, 0.516741, 0.30332, 0.176628, 0.0984212, 0.0,
1291  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1292  0.0, 0.0, 0.0, 276.446, 272.217, 267.682, 262.819,
1293  257.605, 252.014, 246.019, 239.591, 232.699, 225.308, 217.383,
1294  208.885, 199.773, 190.003, 179.527, 168.293, 156.248, 143.333,
1295  129.483, 114.634, 98.7105, 81.6367, 63.3291, 43.6984, 27.4641,
1296  26.4042, 25.2678, 24.0492, 22.7426, 21.3415, 19.8392, 18.2283,
1297  16.501, 14.6489, 13.8975, 13.1437, 12.3355, 11.4689, 10.5396,
1298  9.72975, 9.18041, 8.59138, 7.95978, 7.38333, 6.94352, 6.47194,
1299  6.00565, 5.63433, 5.23619, 4.89194, 4.56416, 4.26453, 3.99727,
1300  3.74502, 3.49731, 3.29169, 3.08676, 2.88655, 2.71797, 2.55184,
1301  2.40646, 2.26907, 2.14764, 2.03081, 1.92862, 1.831, 1.7498,
1302  1.67772, 1.62067, 1.56917, 1.53166, 1.51347, 1.51028, 1.52634,
1303  1.57134, 1.64201, 1.7571, 1.94399, 2.20196, 2.54917, 2.92493,
1304  2.98444, 2.4787, 1.66459, 1.00065, 0.575404, 0.332132, 0.191354,
1305  0.106411, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1306  0.0, 0.0, 0.0, 0.0, 0.0, 263.911, 259.924,
1307  255.648, 251.063, 246.147, 240.876, 235.224, 229.163, 222.665,
1308  215.696, 208.225, 200.213, 191.622, 182.41, 172.533, 161.942,
1309  150.585, 138.408, 125.351, 111.35, 96.3374, 80.2398, 62.9789,
1310  44.4706, 26.3811, 25.3699, 24.2856, 23.1229, 21.8763, 20.5395,
1311  19.1062, 17.5692, 15.9212, 14.1541, 13.2749, 12.5675, 11.809,
1312  10.9957, 10.1236, 9.29809, 8.78553, 8.23593, 7.64661, 7.07074,
1313  6.65253, 6.2041, 5.73988, 5.40233, 5.04038, 4.70356, 4.38942,
1314  4.08728, 3.82871, 3.58019, 3.34784, 3.13667, 2.93453, 2.75183,
1315  2.59462, 2.43963, 2.29482, 2.15575, 2.03295, 1.92778, 1.82629,
1316  1.73361, 1.65349, 1.57864, 1.52142, 1.47607, 1.44012, 1.41343,
1317  1.40388, 1.4167, 1.44272, 1.49912, 1.60008, 1.75608, 1.96904,
1318  2.2921, 2.6879, 2.93286, 2.63935, 1.86844, 1.12827, 0.641323,
1319  0.365641, 0.206678, 0.115457, 0.0, 0.0, 0.0, 0.0,
1320  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1321  252.32, 248.553, 244.513, 240.181, 235.536, 230.555, 225.215,
1322  219.488, 213.348, 206.764, 199.704, 192.134, 184.017, 175.313,
1323  165.98, 155.973, 145.242, 133.737, 121.399, 108.17, 93.9852,
1324  78.7751, 62.4658, 44.9779, 26.2262, 24.3107, 23.2923, 22.2003,
1325  21.0293, 19.7738, 18.4275, 16.9839, 15.436, 13.7762, 12.7838,
1326  12.1121, 11.3918, 10.6195, 9.79138, 8.94423, 8.45676, 7.93405,
1327  7.37357, 6.79235, 6.3943, 5.96748, 5.50981, 5.17857, 4.8312,
1328  4.50205, 4.21977, 3.93278, 3.68526, 3.43914, 3.21698, 3.01155,
1329  2.81489, 2.6351, 2.47876, 2.32797, 2.18515, 2.05813, 1.94215,
1330  1.83424, 1.74299, 1.64762, 1.57086, 1.49455, 1.43668, 1.39082,
1331  1.34945, 1.31969, 1.30736, 1.31089, 1.3352, 1.37634, 1.46253,
1332  1.58719, 1.77963, 2.06094, 2.43282, 2.79848, 2.72469, 2.06952,
1333  1.28425, 0.732192, 0.406314, 0.227034, 0.124469, 0.0, 0.0,
1334  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1335  0.0, 0.0, 241.474, 237.91, 234.087, 229.989, 225.594,
1336  220.882, 215.829, 210.41, 204.601, 198.371, 191.692, 184.529,
1337  176.849, 168.614, 159.784, 150.316, 140.163, 129.277, 117.604,
1338  105.087, 91.6661, 77.2751, 61.8441, 45.298, 27.5561, 23.27,
1339  22.3173, 21.2956, 20.2002, 19.0255, 17.766, 16.4155, 14.9673,
1340  13.4145, 12.3255, 11.6775, 10.9826, 10.2375, 9.43849, 8.58179,
1341  8.09613, 7.59862, 7.06517, 6.49316, 6.11309, 5.72022, 5.29895,
1342  4.96591, 4.63684, 4.30807, 4.03126, 3.74086, 3.51532, 3.28345,
1343  3.08084, 2.88584, 2.69905, 2.52725, 2.37169, 2.22351, 2.08164,
1344  1.96237, 1.8507, 1.75203, 1.66094, 1.57198, 1.49369, 1.42601,
1345  1.36732, 1.31123, 1.27448, 1.24425, 1.22611, 1.22421, 1.2364,
1346  1.26644, 1.33606, 1.43627, 1.59694, 1.8488, 2.19307, 2.60034,
1347  2.73749, 2.25307, 1.46108, 0.825188, 0.453123, 0.248927, 0.135192,
1348  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1349  0.0, 0.0, 0.0, 0.0, 230.115, 226.762, 223.167,
1350  219.312, 215.179, 210.746, 205.994, 200.898, 195.434, 189.575,
1351  183.292, 176.555, 169.332, 161.587, 153.281, 144.376, 134.827,
1352  124.588, 113.609, 101.837, 89.2138, 75.6784, 61.1649, 45.6026,
1353  28.9156, 22.5307, 21.6024, 20.6071, 19.5398, 18.3955, 17.1684,
1354  15.8526, 14.4418, 12.9289, 11.7374, 11.142, 10.5037, 9.81912,
1355  9.08512, 8.29808, 7.79572, 7.33914, 6.84956, 6.3246, 5.92558,
1356  5.53919, 5.12487, 4.78235, 4.46577, 4.13865, 3.89286, 3.62931,
1357  3.40538, 3.17175, 2.9684, 2.77116, 2.5955, 2.43462, 2.28102,
1358  2.13897, 2.01029, 1.88498, 1.77523, 1.66944, 1.58193, 1.50071,
1359  1.41565, 1.35648, 1.29656, 1.24481, 1.20436, 1.17406, 1.14877,
1360  1.14376, 1.15421, 1.17576, 1.22446, 1.31296, 1.45253, 1.65547,
1361  1.96096, 2.36994, 2.66575, 2.40463, 1.63833, 0.938411, 0.508112,
1362  0.275736, 0.147628, 0.0, 0.0, 0.0, 0.0, 0.0,
1363  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 221.886,
1364  218.687, 215.256, 211.577, 207.633, 203.403, 198.868, 194.005,
1365  188.791, 183.2, 177.205, 170.776, 163.883, 156.492, 148.567,
1366  140.069, 130.957, 121.186, 110.709, 99.4756, 87.4299, 74.5137,
1367  60.6641, 45.8136, 29.8898, 21.5889, 20.7282, 19.8053, 18.8156,
1368  17.7545, 16.6167, 15.3966, 14.0884, 12.6856, 11.4355, 10.8526,
1369  10.2277, 9.55751, 8.83894, 8.06844, 7.51871, 7.06769, 6.58408,
1370  6.06553, 5.66718, 5.32193, 4.95173, 4.62609, 4.34048, 4.03422,
1371  3.78757, 3.52561, 3.2965, 3.06466, 2.87038, 2.67512, 2.48976,
1372  2.32987, 2.18673, 2.05653, 1.91708, 1.80115, 1.70439, 1.60631,
1373  1.51366, 1.42933, 1.35645, 1.29536, 1.23222, 1.18197, 1.14103,
1374  1.10476, 1.0857, 1.07186, 1.07328, 1.09729, 1.13286, 1.2033,
1375  1.31564, 1.49008, 1.75057, 2.13792, 2.53659, 2.49921, 1.83707,
1376  1.06113, 0.574394, 0.304858, 0.162004, 0.0, 0.0, 0.0,
1377  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1378  0.0, 213.584, 210.54, 207.275, 203.775, 200.021, 195.996,
1379  191.681, 187.053, 182.091, 176.771, 171.066, 164.949, 158.389,
1380  151.356, 143.814, 135.727, 127.056, 117.759, 107.789, 97.0989,
1381  85.6363, 73.3452, 60.1659, 46.0342, 30.8813, 20.8656, 20.0406,
1382  19.1559, 18.2073, 17.1901, 16.0995, 14.93, 13.676, 12.3314,
1383  11.0056, 10.4535, 9.86151, 9.22671, 8.54604, 7.81618, 7.25123,
1384  6.83917, 6.39734, 5.92357, 5.51609, 5.17157, 4.80214, 4.46383,
1385  4.19039, 3.89719, 3.64683, 3.3915, 3.16798, 2.95527, 2.77121,
1386  2.58989, 2.41778, 2.25818, 2.11251, 1.98317, 1.85594, 1.7428,
1387  1.64062, 1.54213, 1.45531, 1.37598, 1.30028, 1.23359, 1.17658,
1388  1.12657, 1.08145, 1.04956, 1.02172, 1.00919, 1.00701, 1.01738,
1389  1.05042, 1.10486, 1.19845, 1.34726, 1.57537, 1.91904, 2.33971,
1390  2.52008, 2.01669, 1.22216, 0.650226, 0.338822, 0.177866, 0.0897435,
1391  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1392  0.0, 0.0, 0.0, 205.876, 202.972, 199.859, 196.521,
1393  192.941, 189.103, 184.987, 180.574, 175.842, 170.768, 165.327,
1394  159.493, 153.238, 146.53, 139.338, 131.626, 123.357, 114.49,
1395  104.982, 94.7871, 83.8555, 72.1339, 59.5652, 46.0882, 31.6373,
1396  20.0734, 19.294, 18.4582, 17.562, 16.6011, 15.5707, 14.4659,
1397  13.2812, 12.0109, 10.6488, 10.1155, 9.55664, 8.95742, 8.31489,
1398  7.62593, 7.04012, 6.64669, 6.22482, 5.77246, 5.35917, 5.02983,
1399  4.67669, 4.33322, 4.0653, 3.77801, 3.526, 3.28066, 3.06211,
1400  2.86966, 2.68084, 2.48879, 2.33232, 2.18319, 2.04439, 1.90768,
1401  1.7845, 1.66907, 1.57775, 1.48268, 1.39731, 1.31487, 1.24174,
1402  1.18235, 1.12725, 1.07692, 1.03215, 0.998376, 0.968064, 0.951923,
1403  0.944467, 0.953693, 0.974198, 1.02124, 1.09769, 1.22078, 1.425,
1404  1.71234, 2.13554, 2.46962, 2.16938, 1.38293, 0.739368, 0.380959,
1405  0.196168, 0.0979859, 0.0, 0.0, 0.0, 0.0, 0.0,
1406  0.0, 0.0, 0.0, 0.0, 0.0, 197.342, 194.592,
1407  191.644, 188.482, 185.092, 181.457, 177.559, 173.379, 168.898,
1408  164.092, 158.939, 153.414, 147.49, 141.137, 134.326, 127.022,
1409  119.19, 110.792, 101.788, 92.1324, 81.7793, 70.678, 58.7744,
1410  46.0106, 32.3244, 19.4653, 18.7212, 17.9233, 17.0677, 16.1503,
1411  15.1665, 14.1117, 12.9807, 11.7679, 10.4675, 9.83535, 9.29331,
1412  8.7121, 8.08889, 7.42063, 6.80434, 6.42493, 6.0181, 5.58186,
1413  5.16227, 4.85324, 4.52188, 4.18274, 3.92822, 3.65531, 3.41342,
1414  3.19426, 2.98033, 2.78497, 2.60091, 2.42969, 2.26671, 2.11158,
1415  1.97625, 1.85336, 1.7294, 1.623, 1.52714, 1.42862, 1.34716,
1416  1.27019, 1.19917, 1.13554, 1.07668, 1.0277, 0.988925, 0.948016,
1417  0.923516, 0.904051, 0.891618, 0.889387, 0.907205, 0.945699, 1.01016,
1418  1.11323, 1.2798, 1.53416, 1.92129, 2.33836, 2.2846, 1.5569,
1419  0.839354, 0.429186, 0.217848, 0.107688, 0.0, 0.0, 0.0,
1420  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1421  191.297, 188.661, 185.834, 182.802, 179.552, 176.067, 172.33,
1422  168.323, 164.026, 159.419, 154.479, 149.181, 143.501, 137.411,
1423  130.88, 123.878, 116.369, 108.318, 99.6849, 90.4279, 80.502,
1424  69.8587, 58.4463, 46.2091, 33.0876, 19.0179, 18.2128, 17.4401,
1425  16.6116, 15.7232, 14.7706, 13.7492, 12.654, 11.4796, 10.2203,
1426  9.51114, 9.00748, 8.46742, 7.88834, 7.2674, 6.64647, 6.27242,
1427  5.87134, 5.44128, 5.00512, 4.71158, 4.39683, 4.05943, 3.81144,
1428  3.54553, 3.30211, 3.09735, 2.88986, 2.70325, 2.51999, 2.35321,
1429  2.19353, 2.04014, 1.91292, 1.7866, 1.6764, 1.57647, 1.47648,
1430  1.38379, 1.3011, 1.22625, 1.15355, 1.09534, 1.03937, 0.984085,
1431  0.941478, 0.905669, 0.880948, 0.857582, 0.841045, 0.840198, 0.849112,
1432  0.877153, 0.929987, 1.01452, 1.15526, 1.37777, 1.71702, 2.16296,
1433  2.32855, 1.73017, 0.966219, 0.485159, 0.241338, 0.11877, 0.0,
1434  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1435  0.0, 0.0, 185.58, 183.049, 180.335, 177.426, 174.306,
1436  170.961, 167.374, 163.527, 159.403, 154.981, 150.239, 145.154,
1437  139.702, 133.856, 127.588, 120.866, 113.659, 105.931, 97.6442,
1438  88.7587, 79.2311, 69.015, 58.0606, 46.3145, 33.7196, 20.2145,
1439  17.6901, 16.9462, 16.1487, 15.2934, 14.3764, 13.3931, 12.3388,
1440  11.2082, 9.99597, 9.20569, 8.72466, 8.20886, 7.65579, 7.06276,
1441  6.429, 6.08267, 5.71132, 5.31312, 4.88615, 4.60135, 4.29621,
1442  3.96901, 3.7163, 3.46049, 3.21159, 3.00504, 2.79149, 2.61859,
1443  2.44243, 2.28399, 2.13236, 1.98665, 1.86352, 1.74327, 1.62843,
1444  1.52215, 1.427, 1.33931, 1.25819, 1.18457, 1.1152, 1.05177,
1445  0.999029, 0.949151, 0.90104, 0.86993, 0.839198, 0.812957, 0.797991,
1446  0.792781, 0.79896, 0.819724, 0.864752, 0.935136, 1.04896, 1.23517,
1447  1.53291, 1.96591, 2.29502, 1.9083, 1.10635, 0.552655, 0.270908,
1448  0.131027, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1449  0.0, 0.0, 0.0, 0.0, 180.48, 178.045, 175.434,
1450  172.634, 169.631, 166.412, 162.96, 159.258, 155.289, 151.033,
1451  146.47, 141.577, 136.33, 130.704, 124.671, 118.203, 111.267,
1452  103.83, 95.8549, 87.3039, 78.1349, 68.3033, 57.7612, 46.4573,
1453  34.3364, 21.3396, 17.2366, 16.5338, 15.7801, 14.972, 14.1055,
1454  13.1764, 12.1801, 11.1118, 9.96637, 9.10491, 8.62567, 8.11181,
1455  7.5608, 6.96998, 6.33646, 5.95682, 5.59321, 5.20334, 4.78528,
1456  4.48062, 4.17634, 3.85006, 3.60184, 3.37256, 3.13765, 2.93958,
1457  2.72719, 2.5577, 2.37989, 2.22131, 2.06932, 1.93003, 1.8085,
1458  1.69497, 1.58562, 1.4762, 1.38148, 1.30506, 1.22181, 1.14462,
1459  1.0823, 1.01865, 0.958135, 0.915017, 0.867392, 0.834713, 0.801935,
1460  0.772997, 0.760076, 0.750233, 0.752091, 0.769152, 0.803728, 0.861171,
1461  0.959595, 1.1131, 1.36865, 1.76697, 2.20006, 2.03934, 1.26355,
1462  0.630003, 0.304349, 0.144914, 0.0, 0.0, 0.0, 0.0,
1463  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 173.901,
1464  171.581, 169.095, 166.428, 163.569, 160.504, 157.217, 153.692,
1465  149.912, 145.86, 141.514, 136.855, 131.859, 126.501, 120.757,
1466  114.597, 107.993, 100.91, 93.3166, 85.174, 76.443, 67.0809,
1467  57.0423, 46.2783, 34.7363, 22.3603, 16.8442, 16.1633, 15.4333,
1468  14.6505, 13.8111, 12.911, 11.946, 10.9111, 9.80154, 8.87129,
1469  8.41342, 7.92247, 7.39604, 6.83156, 6.22628, 5.8165, 5.46021,
1470  5.07816, 4.66851, 4.36128, 4.07966, 3.77769, 3.52784, 3.30842,
1471  3.07567, 2.88052, 2.67127, 2.48867, 2.29934, 2.16431, 2.02505,
1472  1.88521, 1.76386, 1.65198, 1.54734, 1.44224, 1.3522, 1.2626,
1473  1.18417, 1.11455, 1.04764, 0.988031, 0.932053, 0.881382, 0.839937,
1474  0.802645, 0.769877, 0.745072, 0.723197, 0.713921, 0.712306, 0.72035,
1475  0.748023, 0.796718, 0.878042, 1.01077, 1.22643, 1.58529, 2.03849,
1476  2.11677, 1.42834, 0.725833, 0.343457, 0.160902, 0.0, 0.0,
1477  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1478  0.0, 170.086, 167.84, 165.431, 162.847, 160.078, 157.107,
1479  153.923, 150.508, 146.846, 142.92, 138.71, 134.196, 129.355,
1480  124.165, 118.6, 112.632, 106.233, 99.3722, 92.0152, 84.1264,
1481  75.6676, 66.5975, 56.8719, 46.4434, 35.2613, 23.2712, 16.3798,
1482  15.7269, 15.0268, 14.2761, 13.4712, 12.608, 11.6825, 10.6902,
1483  9.62605, 8.64066, 8.20718, 7.74237, 7.24397, 6.70955, 6.13652,
1484  5.70671, 5.36213, 4.99265, 4.59646, 4.27988, 4.01091, 3.7225,
1485  3.46133, 3.23411, 2.99047, 2.80676, 2.61687, 2.44604, 2.27462,
1486  2.12208, 1.97233, 1.84945, 1.72513, 1.60654, 1.50372, 1.40736,
1487  1.31733, 1.23378, 1.15052, 1.07997, 1.0174, 0.957532, 0.905331,
1488  0.853664, 0.80853, 0.775102, 0.739816, 0.710236, 0.693053, 0.67996,
1489  0.676549, 0.681034, 0.701679, 0.739968, 0.809196, 0.919789, 1.10571,
1490  1.41009, 1.86297, 2.13524, 1.59745, 0.834678, 0.391379, 0.179427,
1491  0.0807685, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1492  0.0, 0.0, 0.0, 166.971, 164.785, 162.441, 159.928,
1493  157.233, 154.343, 151.245, 147.922, 144.36, 140.54, 136.444,
1494  132.052, 127.342, 122.292, 116.878, 111.072, 104.846, 98.1703,
1495  91.0123, 83.337, 75.107, 66.2823, 56.8198, 46.6735, 35.794,
1496  24.1282, 15.9205, 15.2994, 14.6335, 13.9195, 13.1538, 12.3328,
1497  11.4525, 10.5086, 9.49646, 8.46792, 8.04362, 7.58866, 7.10082,
1498  6.57772, 6.01682, 5.56491, 5.23763, 4.8867, 4.51042, 4.18635,
1499  3.92513, 3.64504, 3.38262, 3.17119, 2.94448, 2.75922, 2.5762,
1500  2.39992, 2.22374, 2.07417, 1.93091, 1.80848, 1.68929, 1.57458,
1501  1.46491, 1.37352, 1.28519, 1.20003, 1.12372, 1.05306, 0.989851,
1502  0.929157, 0.87728, 0.828272, 0.785563, 0.745962, 0.713159, 0.684418,
1503  0.661475, 0.650563, 0.643982, 0.644393, 0.658032, 0.691311, 0.746598,
1504  0.842889, 1.00127, 1.25529, 1.68052, 2.08498, 1.75498, 0.957681,
1505  0.443904, 0.201773, 0.090131, 0.0, 0.0, 0.0, 0.0,
1506  0.0, 0.0, 0.0, 0.0, 0.0, 162.405, 160.303,
1507  158.049, 155.632, 153.04, 150.261, 147.281, 144.085, 140.659,
1508  136.985, 133.046, 128.821, 124.292, 119.435, 114.228, 108.644,
1509  102.656, 96.2358, 89.3516, 81.9698, 74.0546, 65.5674, 56.4668,
1510  46.7086, 36.2451, 25.0255, 15.6784, 15.0678, 14.4131, 13.7111,
1511  12.9583, 12.1512, 11.2857, 10.3577, 9.36266, 8.29568, 7.85978,
1512  7.42691, 6.96275, 6.46505, 5.93138, 5.46451, 5.14861, 4.80988,
1513  4.44667, 4.1137, 3.85912, 3.58615, 3.31853, 3.11619, 2.89924,
1514  2.70788, 2.52389, 2.3458, 2.17532, 2.02803, 1.89423, 1.77521,
1515  1.65448, 1.53483, 1.43975, 1.34484, 1.25455, 1.17257, 1.09465,
1516  1.02559, 0.967531, 0.904133, 0.851496, 0.801939, 0.759238, 0.722726,
1517  0.68646, 0.66067, 0.638943, 0.623113, 0.611388, 0.612732, 0.621115,
1518  0.645828, 0.693894, 0.771921, 0.90449, 1.12884, 1.49826, 1.9617,
1519  1.87896, 1.09973, 0.508171, 0.227923, 0.100563, 0.0, 0.0,
1520  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1521  159.605, 157.559, 155.365, 153.013, 150.49, 147.785, 144.885,
1522  141.775, 138.44, 134.864, 131.03, 126.919, 122.511, 117.784,
1523  112.715, 107.281, 101.453, 95.2046, 88.5044, 81.32, 73.6164,
1524  65.3561, 56.4988, 47.0014, 36.8177, 25.8981, 15.3915, 14.7986,
1525  14.1628, 13.481, 12.7499, 11.9661, 11.1256, 10.2243, 9.2579,
1526  8.22167, 7.71161, 7.29074, 6.83945, 6.35555, 5.83668, 5.35063,
1527  5.05034, 4.72836, 4.38311, 4.04821, 3.80491, 3.54404, 3.27362,
1528  3.06058, 2.83215, 2.63921, 2.47729, 2.31144, 2.14737, 1.99271,
1529  1.85071, 1.73102, 1.61804, 1.51369, 1.40754, 1.31968, 1.23628,
1530  1.15007, 1.07266, 0.998842, 0.944045, 0.885009, 0.832076, 0.785564,
1531  0.740671, 0.697833, 0.668546, 0.640227, 0.612552, 0.595439, 0.585004,
1532  0.579068, 0.58848, 0.608132, 0.646661, 0.71436, 0.824194, 1.01948,
1533  1.33934, 1.80914, 1.95313, 1.25255, 0.585376, 0.25845, 0.112127,
1534  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1535  0.0, 0.0, 154.711, 152.748, 150.642, 148.385, 145.964,
1536  143.369, 140.585, 137.601, 134.401, 130.97, 127.29, 123.345,
1537  119.115, 114.579, 109.715, 104.5, 98.9075, 92.9111, 86.4815,
1538  79.5872, 72.1946, 64.2678, 55.7682, 46.6543, 36.8818, 26.403,
1539  15.167, 14.4053, 13.8008, 13.1526, 12.4575, 11.7122, 10.913,
1540  10.0561, 9.13731, 8.15208, 7.5827, 7.1789, 6.74591, 6.28164,
1541  5.78381, 5.28391, 4.9923, 4.67963, 4.34435, 4.00064, 3.75474,
1542  3.49108, 3.20835, 3.02153, 2.82254, 2.62772, 2.44506, 2.26293,
1543  2.11104, 1.9622, 1.82866, 1.70375, 1.58501, 1.48624, 1.38368,
1544  1.2854, 1.19809, 1.12218, 1.04992, 0.981925, 0.92302, 0.864038,
1545  0.812354, 0.759781, 0.718537, 0.682528, 0.64463, 0.618917, 0.59254,
1546  0.57501, 0.561124, 0.55567, 0.557542, 0.573784, 0.602922, 0.659521,
1547  0.753854, 0.918193, 1.19605, 1.64549, 1.96514, 1.40847, 0.671536,
1548  0.29096, 0.125829, 0.0, 0.0, 0.0, 0.0, 0.0,
1549  0.0, 0.0, 0.0, 0.0, 153.316, 151.389, 149.322,
1550  147.106, 144.73, 142.183, 139.451, 136.522, 133.381, 130.013,
1551  126.402, 122.53, 118.378, 113.926, 109.152, 104.033, 98.5448,
1552  92.6595, 86.3488, 79.5821, 72.3264, 64.5464, 56.2041, 47.259,
1553  37.6674, 27.3826, 16.3546, 14.2823, 13.6912, 13.0573, 12.3776,
1554  11.6488, 10.8673, 10.0294, 9.13087, 8.16743, 7.528, 7.12782,
1555  6.69873, 6.23863, 5.74528, 5.21747, 4.93089, 4.6236, 4.2941,
1556  3.94079, 3.70221, 3.44692, 3.17317, 2.9728, 2.77263, 2.57423,
1557  2.40045, 2.22091, 2.07745, 1.93131, 1.80034, 1.68212, 1.57321,
1558  1.46105, 1.36242, 1.26923, 1.18202, 1.10506, 1.02716, 0.962855,
1559  0.903808, 0.844046, 0.791158, 0.742043, 0.697648, 0.660964, 0.627388,
1560  0.599739, 0.573736, 0.552014, 0.537776, 0.531585, 0.530364, 0.544026,
1561  0.566664, 0.61477, 0.695568, 0.829175, 1.06933, 1.47087, 1.90463,
1562  1.55954, 0.773571, 0.333381, 0.141504, 0.0, 0.0, 0.0,
1563  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 150.176,
1564  148.309, 146.306, 144.159, 141.856, 139.388, 136.74, 133.902,
1565  130.858, 127.595, 124.095, 120.343, 116.319, 112.005, 107.379,
1566  102.419, 97.0996, 91.3964, 85.281, 78.7236, 71.6924, 64.1531,
1567  56.0689, 47.4004, 38.1056, 28.139, 17.4522, 14.1457, 13.5532,
1568  12.9178, 12.2366, 11.5061, 10.7228, 9.88293, 8.98235, 8.01669,
1569  7.30821, 6.93343, 6.53158, 6.10068, 5.63864, 5.14321, 4.8383,
1570  4.54199, 4.22427, 3.8836, 3.6455, 3.40878, 3.15495, 2.947,
1571  2.74645, 2.54241, 2.37508, 2.19594, 2.05834, 1.91365, 1.78095,
1572  1.65767, 1.54972, 1.44599, 1.34049, 1.24251, 1.16033, 1.08259,
1573  1.01618, 0.942248, 0.884058, 0.824271, 0.778038, 0.727639, 0.685074,
1574  0.645325, 0.612015, 0.578375, 0.557283, 0.535529, 0.519816, 0.50963,
1575  0.508074, 0.514999, 0.533834, 0.5711, 0.638036, 0.755176, 0.957552,
1576  1.31455, 1.80009, 1.70003, 0.898657, 0.382514, 0.159221, 0.0,
1577  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1578  0.0, 148.188, 146.362, 144.404, 142.305, 140.054, 137.64,
1579  135.052, 132.277, 129.301, 126.111, 122.689, 119.021, 115.087,
1580  110.869, 106.346, 101.497, 96.2965, 90.7206, 84.7417, 78.3308,
1581  71.4566, 64.0855, 56.1818, 47.707, 38.6196, 28.8756, 18.4274,
1582  13.9458, 13.3736, 12.76, 12.102, 11.3965, 10.64, 9.82889,
1583  8.95912, 8.02649, 7.25952, 6.88734, 6.48827, 6.06036, 5.60152,
1584  5.10953, 4.7843, 4.49984, 4.19482, 3.86775, 3.61551, 3.37772,
1585  3.12274, 2.9051, 2.70582, 2.49648, 2.33973, 2.17166, 2.03582,
1586  1.89607, 1.7654, 1.63597, 1.51963, 1.41764, 1.3187, 1.22542,
1587  1.14625, 1.0664, 0.996867, 0.93428, 0.872933, 0.812618, 0.755878,
1588  0.709826, 0.670224, 0.631337, 0.597283, 0.567184, 0.538044, 0.518463,
1589  0.501073, 0.489164, 0.484467, 0.489344, 0.504113, 0.536923, 0.593753,
1590  0.690774, 0.864381, 1.16668, 1.64944, 1.77311, 1.04001, 0.444024,
1591  0.179646, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1592  0.0, 0.0, 0.0, 145.041, 143.272, 141.375, 139.34,
1593  137.159, 134.82, 132.312, 129.623, 126.739, 123.647, 120.332,
1594  116.777, 112.965, 108.877, 104.494, 99.7949, 94.7558, 89.3524,
1595  83.5586, 77.3461, 70.6846, 63.5418, 55.8827, 47.6701, 38.864,
1596  29.4216, 19.2967, 13.7393, 13.1839, 12.5884, 11.9499, 11.2652,
1597  10.531, 9.74371, 8.89957, 7.99443, 7.17601, 6.82312, 6.44473,
1598  6.039, 5.60394, 5.13745, 4.78432, 4.48866, 4.17163, 3.83168,
1599  3.56734, 3.34241, 3.10121, 2.88495, 2.69508, 2.49148, 2.32732,
1600  2.1546, 2.01126, 1.87063, 1.74416, 1.6175, 1.50301, 1.39852,
1601  1.29997, 1.20798, 1.12931, 1.0564, 0.979366, 0.917384, 0.85617,
1602  0.798986, 0.747534, 0.700607, 0.656875, 0.618569, 0.584513, 0.553152,
1603  0.524797, 0.501769, 0.483943, 0.474161, 0.465021, 0.46887, 0.47836,
1604  0.506159, 0.55069, 0.633481, 0.779693, 1.03985, 1.49916, 1.80763,
1605  1.18617, 0.506697, 0.204198, 0.0794999, 0.0, 0.0, 0.0,
1606  0.0, 0.0, 0.0, 0.0, 0.0, 144.3, 142.555,
1607  140.684, 138.678, 136.527, 134.22, 131.747, 129.095, 126.252,
1608  123.203, 119.933, 116.428, 112.669, 108.638, 104.316, 99.6816,
1609  94.7124, 89.3841, 83.6707, 77.5444, 70.9754, 63.9317, 56.379,
1610  48.2804, 39.5966, 30.2852, 20.3009, 13.6249, 13.0797, 12.4952,
1611  11.8683, 11.1962, 10.4756, 9.70283, 8.87423, 7.98575, 7.10647,
1612  6.75456, 6.37721, 5.9726, 5.53874, 5.07353, 4.70205, 4.42054,
1613  4.11868, 3.795, 3.5253, 3.30935, 3.07779, 2.85622, 2.66124,
1614  2.45217, 2.29274, 2.13579, 1.99211, 1.85168, 1.72777, 1.60497,
1615  1.48798, 1.37929, 1.28312, 1.20774, 1.11608, 1.03858, 0.974215,
1616  0.904062, 0.847588, 0.787789, 0.737851, 0.688436, 0.642919, 0.602133,
1617  0.568695, 0.538963, 0.511414, 0.489784, 0.469793, 0.455841, 0.448006,
1618  0.446754, 0.453958, 0.475058, 0.516082, 0.586141, 0.709076, 0.934054,
1619  1.33483, 1.77939, 1.3287, 0.589289, 0.233484, 0.0898714, 0.0,
1620  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1621  140.958, 139.271, 137.461, 135.521, 133.44, 131.209, 128.817,
1622  126.252, 123.501, 120.552, 117.39, 113.999, 110.363, 106.464,
1623  102.283, 97.8009, 92.9944, 87.8405, 82.3142, 76.3885, 70.0345,
1624  63.2214, 55.9159, 48.0825, 39.6829, 30.6764, 21.019, 13.4062,
1625  12.8849, 12.326, 11.7267, 11.0841, 10.3951, 9.65625, 8.86402,
1626  8.01454, 7.10367, 6.74643, 6.36459, 5.95516, 5.51613, 5.04538,
1627  4.64744, 4.37705, 4.08712, 3.77624, 3.50011, 3.29053, 3.0658,
1628  2.84271, 2.65158, 2.44664, 2.27894, 2.12098, 1.97349, 1.83502,
1629  1.70755, 1.58276, 1.4809, 1.38014, 1.2824, 1.1898, 1.10556,
1630  1.03556, 0.963638, 0.893281, 0.833245, 0.775204, 0.723461, 0.6795,
1631  0.634097, 0.593335, 0.559309, 0.528451, 0.499291, 0.476923, 0.456075,
1632  0.44065, 0.430896, 0.428302, 0.434348, 0.449528, 0.483062, 0.542651,
1633  0.648163, 0.837669, 1.19056, 1.67678, 1.46606, 0.683949, 0.266763,
1634  0.102581, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1635  0.0, 0.0, 139.885, 138.227, 136.448, 134.542, 132.497,
1636  130.304, 127.953, 125.433, 122.73, 119.831, 116.724, 113.391,
1637  109.818, 105.987, 101.878, 97.4733, 92.7498, 87.6849, 82.2541,
1638  76.4307, 70.1865, 63.491, 56.3117, 48.6136, 40.3591, 31.5081,
1639  22.0175, 13.3977, 12.8755, 12.3156, 11.7152, 11.0714, 10.3811,
1640  9.64088, 8.84718, 7.99613, 7.08358, 6.66476, 6.29235, 5.89302,
1641  5.46484, 5.00571, 4.58953, 4.32769, 4.04692, 3.74586, 3.45825,
1642  3.23847, 3.0028, 2.76701, 2.60406, 2.42934, 2.26821, 2.11381,
1643  1.96453, 1.82767, 1.69658, 1.57029, 1.4652, 1.36345, 1.26526,
1644  1.18127, 1.09323, 1.01937, 0.948965, 0.884139, 0.825534, 0.76084,
1645  0.715217, 0.66639, 0.624869, 0.586134, 0.549828, 0.516841, 0.487351,
1646  0.463903, 0.442885, 0.426742, 0.419868, 0.4118, 0.413271, 0.429481,
1647  0.454106, 0.503131, 0.593967, 0.758419, 1.05755, 1.56377, 1.57954,
1648  0.794993, 0.307203, 0.115638, 0.0, 0.0, 0.0, 0.0,
1649  0.0, 0.0, 0.0, 0.0, 136.633, 135.029, 133.309,
1650  131.465, 129.488, 127.368, 125.095, 122.657, 120.043, 117.241,
1651  114.235, 111.013, 107.558, 103.853, 99.8804, 95.6206, 91.053,
1652  86.1553, 80.9037, 75.2726, 69.2345, 62.7601, 55.8178, 48.3737,
1653  40.3917, 31.8329, 22.6556, 13.2224, 12.7104, 12.1615, 11.5728,
1654  10.9417, 10.2649, 9.53923, 8.7611, 7.92675, 7.03209, 6.56907,
1655  6.22676, 5.85971, 5.46613, 5.04411, 4.63005, 4.36098, 4.07245,
1656  3.76307, 3.45423, 3.23286, 2.99548, 2.74626, 2.58559, 2.41332,
1657  2.25061, 2.10058, 1.94892, 1.80789, 1.67585, 1.56194, 1.45391,
1658  1.34866, 1.25306, 1.16617, 1.08192, 1.00764, 0.938687, 0.87418,
1659  0.816736, 0.756646, 0.707839, 0.6578, 0.615441, 0.574924, 0.540702,
1660  0.507582, 0.479488, 0.455906, 0.432462, 0.417652, 0.403996, 0.397903,
1661  0.397494, 0.407113, 0.429188, 0.472188, 0.546541, 0.685639, 0.943093,
1662  1.41325, 1.64484, 0.917882, 0.354635, 0.131836, 0.0, 0.0,
1663  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 137.467,
1664  135.864, 134.146, 132.304, 130.328, 128.21, 125.938, 123.503,
1665  120.891, 118.091, 115.088, 111.868, 108.416, 104.714, 100.744,
1666  96.4879, 91.924, 87.0303, 81.7829, 76.1563, 70.1231, 63.6538,
1667  56.7171, 49.2791, 41.3035, 32.7516, 23.5816, 13.7489, 12.5707,
1668  12.0471, 11.4858, 10.8838, 10.2384, 9.54628, 8.80417, 8.00843,
1669  7.15518, 6.62648, 6.2691, 5.88589, 5.47499, 5.0344, 4.5794,
1670  4.32218, 4.04637, 3.75064, 3.44182, 3.23487, 3.01296, 2.77501,
1671  2.59235, 2.40162, 2.2201, 2.0661, 1.9113, 1.78985, 1.66563,
1672  1.54658, 1.44689, 1.35497, 1.24651, 1.15451, 1.07436, 1.0065,
1673  0.940306, 0.866473, 0.805207, 0.753169, 0.701351, 0.65277, 0.606161,
1674  0.567453, 0.532945, 0.501821, 0.470698, 0.444631, 0.424646, 0.406698,
1675  0.392433, 0.385914, 0.381959, 0.38766, 0.408169, 0.442401, 0.505793,
1676  0.624184, 0.844207, 1.27188, 1.65335, 1.05912, 0.408902, 0.149663,
1677  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1678  0.0, 135.006, 133.451, 131.782, 129.994, 128.076, 126.019,
1679  123.814, 121.45, 118.914, 116.196, 113.281, 110.155, 106.804,
1680  103.21, 99.3563, 95.2243, 90.7937, 86.0429, 80.9488, 75.4866,
1681  69.6296, 63.3494, 56.6153, 49.3945, 41.6519, 33.3498, 24.4477,
1682  14.9023, 12.672, 12.1362, 11.5616, 10.9455, 10.2849, 9.57651,
1683  8.81695, 8.00251, 7.1292, 6.53204, 6.18599, 5.81494, 5.41708,
1684  4.99046, 4.53301, 4.2749, 4.00804, 3.72188, 3.41505, 3.20871,
1685  2.99378, 2.76331, 2.5781, 2.39319, 2.21168, 2.06709, 1.91523,
1686  1.78928, 1.66011, 1.54705, 1.43642, 1.32854, 1.23895, 1.15267,
1687  1.07124, 0.997537, 0.930906, 0.860768, 0.799431, 0.746999, 0.689641,
1688  0.642519, 0.601306, 0.562989, 0.52585, 0.491784, 0.463434, 0.4349,
1689  0.413933, 0.394965, 0.38168, 0.371196, 0.367604, 0.37391, 0.38731,
1690  0.413935, 0.471836, 0.570497, 0.756662, 1.13005, 1.60579, 1.2008,
1691  0.478855, 0.171739, 0.0, 0.0, 0.0, 0.0, 0.0,
1692  0.0, 0.0, 0.0, 133.984, 132.452, 130.809, 129.047,
1693  127.158, 125.132, 122.96, 120.631, 118.133, 115.455, 112.584,
1694  109.505, 106.203, 102.663, 98.8676, 94.7974, 90.433, 85.7533,
1695  80.7354, 75.3548, 69.5854, 63.3991, 56.7657, 49.6529, 42.0261,
1696  33.8481, 25.0791, 15.6765, 12.4503, 11.9478, 11.4088, 10.831,
1697  10.2114, 9.54698, 8.83457, 8.07068, 7.25158, 6.61598, 6.26339,
1698  5.88532, 5.47993, 5.04524, 4.57913, 4.2916, 4.02226, 3.73344,
1699  3.42376, 3.20087, 2.98317, 2.74974, 2.56302, 2.38932, 2.21216,
1700  2.07715, 1.93238, 1.80135, 1.66407, 1.54541, 1.42945, 1.32171,
1701  1.22436, 1.13927, 1.06286, 0.985787, 0.917689, 0.852225, 0.795604,
1702  0.73886, 0.688876, 0.64209, 0.597096, 0.554896, 0.517113, 0.48718,
1703  0.45366, 0.430853, 0.405957, 0.390054, 0.372833, 0.362327, 0.355309,
1704  0.357871, 0.368733, 0.391641, 0.438678, 0.523647, 0.682787, 1.00024,
1705  1.51915, 1.32785, 0.557917, 0.197085, 0.0, 0.0, 0.0,
1706  0.0, 0.0, 0.0, 0.0, 0.0, 134.927, 133.396,
1707  131.753, 129.992, 128.103, 126.078, 123.907, 121.579, 119.082,
1708  116.406, 113.535, 110.457, 107.157, 103.619, 99.8242, 95.7555,
1709  91.3929, 86.715, 81.699, 76.3205, 70.5533, 64.3694, 57.7385,
1710  50.6285, 43.0046, 34.8298, 26.0642, 16.6652, 12.3926, 11.8903,
1711  11.3516, 10.7741, 10.1548, 9.49076, 8.77873, 8.01524, 7.19658,
1712  6.50265, 6.15791, 5.78825, 5.39188, 4.96687, 4.51114, 4.21391,
1713  3.96513, 3.69837, 3.41233, 3.19623, 2.99899, 2.7875, 2.59057,
1714  2.39979, 2.19847, 2.07189, 1.93617, 1.80088, 1.65753, 1.54241,
1715  1.42752, 1.32188, 1.23317, 1.14854, 1.06636, 0.990615, 0.922717,
1716  0.855917, 0.792556, 0.7358, 0.683112, 0.635268, 0.592807, 0.553106,
1717  0.514174, 0.479508, 0.450348, 0.423778, 0.399869, 0.380493, 0.365543,
1718  0.352403, 0.343646, 0.345855, 0.352266, 0.371618, 0.411633, 0.482412,
1719  0.618722, 0.895419, 1.38837, 1.44847, 0.65132, 0.226087, 0.0,
1720  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1721  133.999, 132.492, 130.876, 129.143, 127.285, 125.292, 123.156,
1722  120.865, 118.409, 115.775, 112.95, 109.922, 106.675, 103.193,
1723  99.4593, 95.456, 91.1633, 86.5604, 81.6249, 76.3327, 70.658,
1724  64.5732, 58.0488, 51.0528, 43.5512, 35.5075, 26.8825, 17.6342,
1725  12.3994, 11.9036, 11.3721, 10.8021, 10.191, 9.53565, 8.83296,
1726  8.0795, 7.27159, 6.52658, 6.19002, 5.82915, 5.4422, 5.02728,
1727  4.58238, 4.25835, 4.00398, 3.73122, 3.43876, 3.20118, 2.99428,
1728  2.77243, 2.57258, 2.39871, 2.21229, 2.06495, 1.91126, 1.77924,
1729  1.64895, 1.53315, 1.41871, 1.32087, 1.22769, 1.13663, 1.04925,
1730  0.981871, 0.912637, 0.843819, 0.785004, 0.73499, 0.678823, 0.631871,
1731  0.584599, 0.546818, 0.510507, 0.476023, 0.447244, 0.414159, 0.394002,
1732  0.372957, 0.356728, 0.341226, 0.333339, 0.332298, 0.338126, 0.353217,
1733  0.386157, 0.448253, 0.564277, 0.795168, 1.24609, 1.51393, 0.757728,
1734  0.261069, 0.0872874, 0.0, 0.0, 0.0, 0.0, 0.0,
1735  0.0, 0.0, 132.355, 130.88, 129.298, 127.602, 125.783,
1736  123.833, 121.742, 119.5, 117.095, 114.517, 111.753, 108.789,
1737  105.611, 102.203, 98.5487, 94.6304, 90.4289, 85.9238, 81.0931,
1738  75.9134, 70.3593, 64.4038, 58.0179, 51.1706, 43.8284, 35.9556,
1739  27.5139, 18.4621, 12.3294, 11.8408, 11.3168, 10.755, 10.1526,
1740  9.5066, 8.81395, 8.07124, 7.27486, 6.48138, 6.16288, 5.82135,
1741  5.45515, 5.06248, 4.64144, 4.29776, 4.03163, 3.74627, 3.44029,
1742  3.18242, 2.97482, 2.7522, 2.5448, 2.37419, 2.19126, 2.04849,
1743  1.90767, 1.77858, 1.65278, 1.53533, 1.41837, 1.32722, 1.23324,
1744  1.14045, 1.05848, 0.982133, 0.90655, 0.839523, 0.776053, 0.726021,
1745  0.674084, 0.629786, 0.582303, 0.543561, 0.502849, 0.471719, 0.439089,
1746  0.41323, 0.387926, 0.366612, 0.350087, 0.333482, 0.324987, 0.321637,
1747  0.325606, 0.337265, 0.363276, 0.416752, 0.516639, 0.713084, 1.11395,
1748  1.52583, 0.882428, 0.303725, 0.0995775, 0.0, 0.0, 0.0,
1749  0.0, 0.0, 0.0, 0.0, 132.987, 131.516, 129.938,
1750  128.246, 126.432, 124.487, 122.402, 120.165, 117.767, 115.196,
1751  112.439, 109.483, 106.313, 102.914, 99.2693, 95.3613, 91.1709,
1752  86.6776, 81.8596, 76.6934, 71.1539, 65.2141, 58.845, 52.0156,
1753  44.6927, 36.8406, 28.421, 19.393, 12.2759, 11.8032, 11.2962,
1754  10.7527, 10.1698, 9.54483, 8.87469, 8.15612, 7.38563, 6.55945,
1755  6.21988, 5.85712, 5.46815, 5.05106, 4.60383, 4.22963, 3.98283,
1756  3.71819, 3.43443, 3.18142, 2.98778, 2.78014, 2.57604, 2.40719,
1757  2.22613, 2.0625, 1.89988, 1.76385, 1.65247, 1.54121, 1.42654,
1758  1.32462, 1.22765, 1.13829, 1.05341, 0.982821, 0.908513, 0.842177,
1759  0.781256, 0.729141, 0.672493, 0.626741, 0.579496, 0.540611, 0.502575,
1760  0.466285, 0.434035, 0.406246, 0.383583, 0.363085, 0.342467, 0.329594,
1761  0.317077, 0.310999, 0.312885, 0.321228, 0.345206, 0.388857, 0.472538,
1762  0.641952, 0.989655, 1.48542, 1.01443, 0.35418, 0.114563, 0.0,
1763  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 131.6,
1764  130.158, 128.612, 126.954, 125.176, 123.269, 121.225, 119.034,
1765  116.683, 114.163, 111.461, 108.563, 105.457, 102.125, 98.553,
1766  94.7226, 90.6155, 86.2116, 81.4894, 76.4259, 70.9965, 65.1748,
1767  58.9323, 52.2387, 45.0614, 37.3654, 29.1132, 20.2647, 12.301,
1768  11.8192, 11.3026, 10.7487, 10.1547, 9.51788, 8.83498, 8.10274,
1769  7.31758, 6.47568, 6.10774, 5.78101, 5.43066, 5.05499, 4.65217,
1770  4.28265, 4.03211, 3.76347, 3.47541, 3.20732, 3.01875, 2.81655,
1771  2.60805, 2.42631, 2.23144, 2.06528, 1.91613, 1.77556, 1.6516,
1772  1.53474, 1.42362, 1.3257, 1.23099, 1.14151, 1.04624, 0.977528,
1773  0.910966, 0.849676, 0.786217, 0.726308, 0.671188, 0.625354, 0.574593,
1774  0.536847, 0.497616, 0.462372, 0.432039, 0.402808, 0.378271, 0.357313,
1775  0.337423, 0.320438, 0.30988, 0.302404, 0.301243, 0.309304, 0.32764,
1776  0.366226, 0.436997, 0.579705, 0.877256, 1.40166, 1.14587, 0.410305,
1777  0.131763, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1778  0.0, 130.675, 129.254, 127.731, 126.098, 124.347, 122.469,
1779  120.456, 118.297, 115.982, 113.5, 110.838, 107.984, 104.924,
1780  101.643, 98.1243, 94.3516, 90.3063, 85.9685, 81.3174, 76.33,
1781  70.9823, 65.2481, 59.0995, 52.5066, 45.4372, 37.8569, 29.7288,
1782  21.0134, 12.2025, 11.7483, 11.2612, 10.739, 10.179, 9.5785,
1783  8.93465, 8.24427, 7.504, 6.71022, 6.27254, 5.92037, 5.54276,
1784  5.13786, 4.7037, 4.287, 4.0407, 3.77661, 3.49343, 3.2129,
1785  3.01192, 2.79641, 2.5705, 2.40543, 2.22842, 2.07346, 1.9436,
1786  1.80797, 1.67038, 1.54086, 1.42631, 1.33454, 1.24273, 1.13513,
1787  1.0552, 0.98232, 0.911616, 0.844656, 0.783, 0.723676, 0.672837,
1788  0.621337, 0.57739, 0.536073, 0.498349, 0.463753, 0.427914, 0.401638,
1789  0.374344, 0.353226, 0.333173, 0.315708, 0.303504, 0.294091, 0.291682,
1790  0.298346, 0.312072, 0.344902, 0.40475, 0.526219, 0.784338, 1.2814,
1791  1.25904, 0.486266, 0.151063, 0.0, 0.0, 0.0, 0.0,
1792  0.0, 0.0, 0.0, 129.885, 128.488, 126.99, 125.384,
1793  123.661, 121.815, 119.834, 117.711, 115.434, 112.993, 110.375,
1794  107.568, 104.558, 101.331, 97.8704, 94.1598, 90.181, 85.9147,
1795  81.34, 76.4348, 71.175, 65.5352, 59.4878, 53.0034, 46.0503,
1796  38.5948, 30.6005, 22.0284, 12.8369, 11.9354, 11.4267, 10.8812,
1797  10.2963, 9.66917, 8.99668, 8.27558, 7.50238, 6.6733, 6.18148,
1798  5.84756, 5.48951, 5.10558, 4.69391, 4.27395, 4.03208, 3.77273,
1799  3.49464, 3.20711, 3.01261, 2.80405, 2.58042, 2.41047, 2.23126,
1800  2.06685, 1.93487, 1.79583, 1.65597, 1.52576, 1.42791, 1.33256,
1801  1.23586, 1.13444, 1.05631, 0.98161, 0.909971, 0.845116, 0.784027,
1802  0.723914, 0.670154, 0.617993, 0.574501, 0.53573, 0.495848, 0.459119,
1803  0.4261, 0.397482, 0.370868, 0.349149, 0.327844, 0.311158, 0.296738,
1804  0.28827, 0.285075, 0.286701, 0.298769, 0.325339, 0.378362, 0.483742,
1805  0.695102, 1.1542, 1.35654, 0.567566, 0.177176, 0.0, 0.0,
1806  0.0, 0.0, 0.0, 0.0, 0.0, 131.868, 130.459,
1807  128.948, 127.328, 125.591, 123.728, 121.731, 119.589, 117.293,
1808  114.831, 112.191, 109.36, 106.324, 103.069, 99.5789, 95.8365,
1809  91.8236, 87.5208, 82.907, 77.9597, 72.655, 66.9669, 60.8677,
1810  54.3277, 47.3152, 39.7958, 31.7331, 23.0876, 13.8174, 11.9548,
1811  11.4483, 10.9051, 10.3226, 9.69805, 9.02837, 8.31029, 7.54032,
1812  6.71471, 6.17126, 5.84926, 5.50398, 5.13376, 4.73678, 4.31111,
1813  4.06589, 3.80467, 3.52457, 3.22423, 3.02331, 2.80988, 2.58102,
1814  2.4153, 2.25152, 2.08968, 1.9512, 1.80461, 1.6628, 1.5247,
1815  1.4265, 1.32293, 1.21612, 1.14632, 1.06226, 0.98111, 0.911537,
1816  0.84482, 0.782268, 0.722833, 0.668929, 0.620126, 0.574336, 0.53833,
1817  0.493048, 0.459551, 0.426058, 0.396206, 0.370639, 0.345418, 0.324827,
1818  0.30587, 0.293412, 0.28248, 0.277115, 0.277394, 0.285516, 0.308358,
1819  0.353498, 0.443148, 0.624637, 1.02566, 1.39904, 0.670707, 0.203965,
1820  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1821  130.154, 128.776, 127.299, 125.715, 124.016, 122.194, 120.241,
1822  118.147, 115.901, 113.493, 110.911, 108.142, 105.173, 101.99,
1823  98.5769, 94.9169, 90.9924, 86.7843, 82.2721, 77.4338, 72.2459,
1824  66.683, 60.7182, 54.3222, 47.4641, 40.1103, 32.2251, 23.7701,
1825  14.704, 11.9428, 11.4448, 10.9108, 10.3383, 9.72431, 9.06599,
1826  8.36009, 7.60319, 6.79158, 6.19702, 5.8783, 5.53655, 5.17009,
1827  4.77716, 4.35583, 4.08839, 3.82552, 3.54365, 3.24141, 3.03149,
1828  2.82239, 2.59818, 2.42189, 2.25471, 2.08489, 1.94567, 1.79675,
1829  1.67548, 1.54947, 1.44452, 1.33676, 1.2272, 1.1433, 1.06764,
1830  0.992667, 0.911931, 0.843299, 0.790287, 0.736851, 0.674393, 0.624384,
1831  0.576878, 0.532706, 0.495607, 0.45937, 0.423182, 0.394575, 0.366599,
1832  0.34323, 0.32016, 0.302946, 0.28751, 0.276566, 0.268383, 0.270254,
1833  0.275822, 0.294036, 0.331842, 0.407456, 0.562465, 0.910745, 1.38847,
1834  0.78727, 0.237794, 0.0, 0.0, 0.0, 0.0, 0.0,
1835  0.0, 0.0, 130.781, 129.408, 127.934, 126.355, 124.661,
1836  122.845, 120.897, 118.809, 116.57, 114.169, 111.595, 108.834,
1837  105.874, 102.701, 99.2973, 95.6482, 91.7353, 87.5397, 83.0408,
1838  78.2169, 73.0443, 67.4979, 61.5507, 55.1737, 48.3359, 41.0039,
1839  33.142, 24.712, 15.6728, 11.991, 11.5036, 10.981, 10.4206,
1840  9.81968, 9.17536, 8.48447, 7.74365, 6.94929, 6.30077, 5.9641,
1841  5.6031, 5.21601, 4.80095, 4.3559, 4.07092, 3.81951, 3.54992,
1842  3.26085, 3.04106, 2.832, 2.60783, 2.42799, 2.26896, 2.1014,
1843  1.95567, 1.7994, 1.67997, 1.5574, 1.44702, 1.33826, 1.24012,
1844  1.15338, 1.06684, 0.985901, 0.921977, 0.844908, 0.789995, 0.730113,
1845  0.673526, 0.62342, 0.578791, 0.53129, 0.495125, 0.456136, 0.423896,
1846  0.392692, 0.365376, 0.33975, 0.320209, 0.299776, 0.281892, 0.271594,
1847  0.263371, 0.261843, 0.265648, 0.279858, 0.312298, 0.376667, 0.509946,
1848  0.811477, 1.33559, 0.902423, 0.278152, 0.0, 0.0, 0.0,
1849  0.0, 0.0, 0.0, 0.0, 130.379, 129.021, 127.565,
1850  126.004, 124.33, 122.535, 120.61, 118.546, 116.333, 113.961,
1851  111.416, 108.688, 105.763, 102.626, 99.2626, 95.6561, 91.789,
1852  87.6425, 83.1962, 78.4287, 73.3166, 67.8351, 61.9574, 55.655,
1853  48.8971, 41.6509, 33.881, 25.5495, 16.616, 12.045, 11.5464,
1854  11.0118, 10.4385, 9.82388, 9.16479, 8.45807, 7.70027, 6.88771,
1855  6.17669, 5.86773, 5.53645, 5.18122, 4.80032, 4.39189, 4.09,
1856  3.83129, 3.55389, 3.25643, 3.03541, 2.84694, 2.64486, 2.46098,
1857  2.29187, 2.11054, 1.96999, 1.82035, 1.69173, 1.56178, 1.46166,
1858  1.35753, 1.2444, 1.15593, 1.07712, 1.002, 0.930522, 0.856361,
1859  0.789775, 0.733634, 0.67455, 0.624258, 0.580475, 0.538105, 0.493321,
1860  0.457364, 0.424672, 0.391448, 0.36412, 0.338095, 0.314555, 0.296516,
1861  0.280386, 0.264743, 0.258736, 0.254179, 0.256962, 0.268216, 0.29569,
1862  0.35183, 0.461936, 0.71876, 1.23527, 1.02981, 0.327096, 0.0,
1863  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 132.194,
1864  130.825, 129.357, 127.783, 126.095, 124.285, 122.344, 120.263,
1865  118.032, 115.639, 113.074, 110.323, 107.373, 104.21, 100.819,
1866  97.1823, 93.2829, 89.1017, 84.6184, 79.8111, 74.6563, 69.129,
1867  63.2023, 56.8473, 50.0331, 42.7263, 34.8916, 26.4906, 17.4826,
1868  11.9529, 11.4719, 10.9562, 10.4032, 9.81018, 9.17436, 8.49258,
1869  7.76154, 6.97767, 6.23125, 5.91766, 5.58139, 5.22083, 4.83422,
1870  4.41966, 4.10799, 3.87213, 3.61922, 3.34804, 3.10792, 2.8892,
1871  2.65466, 2.45068, 2.29289, 2.1237, 1.98729, 1.84736, 1.71243,
1872  1.57433, 1.46756, 1.36315, 1.25366, 1.15825, 1.0754, 1.00367,
1873  0.916554, 0.858313, 0.789156, 0.73637, 0.669149, 0.62519, 0.579792,
1874  0.532589, 0.493773, 0.454209, 0.422928, 0.390947, 0.361283, 0.337757,
1875  0.312371, 0.294092, 0.276429, 0.262951, 0.253361, 0.247124, 0.248572,
1876  0.25845, 0.281048, 0.327649, 0.424197, 0.643608, 1.12191, 1.14398,
1877  0.383914, 0.105954, 0.0, 0.0, 0.0, 0.0, 0.0,
1878  0.0, 130.676, 129.336, 127.899, 126.359, 124.707, 122.936,
1879  121.037, 119.0, 116.816, 114.475, 111.964, 109.272, 106.386,
1880  103.29, 99.9713, 96.4125, 92.5965, 88.5048, 84.1173, 79.4128,
1881  74.3683, 68.9592, 63.1593, 56.9402, 50.2716, 43.1211, 35.4539,
1882  27.2326, 18.4172, 12.0913, 11.6106, 11.0951, 10.5424, 9.94975,
1883  9.31426, 8.63284, 7.90217, 7.11871, 6.3165, 6.00677, 5.67465,
1884  5.31853, 4.93668, 4.52723, 4.18616, 3.9291, 3.65346, 3.3579,
1885  3.10401, 2.90396, 2.68945, 2.48606, 2.32, 2.14194, 1.99651,
1886  1.85386, 1.72322, 1.59828, 1.48396, 1.37006, 1.26014, 1.16933,
1887  1.09277, 1.00275, 0.92235, 0.861483, 0.803658, 0.735686, 0.684253,
1888  0.631427, 0.582156, 0.534714, 0.494839, 0.459155, 0.420808, 0.3909,
1889  0.362739, 0.336537, 0.311492, 0.293976, 0.275396, 0.259093, 0.249143,
1890  0.24234, 0.242192, 0.248638, 0.266595, 0.307389, 0.39, 0.572006,
1891  1.00518, 1.22859, 0.451231, 0.123431, 0.0, 0.0, 0.0,
1892  0.0, 0.0, 0.0, 130.777, 129.446, 128.018, 126.487,
1893  124.845, 123.085, 121.197, 119.173, 117.003, 114.676, 112.181,
1894  109.506, 106.637, 103.561, 100.262, 96.7256, 92.9332, 88.8667,
1895  84.5063, 79.8309, 74.8176, 69.4419, 63.6778, 57.4971, 50.8698,
1896  43.7636, 36.1437, 27.9733, 19.2123, 12.024, 11.5588, 11.06,
1897  10.5252, 9.95171, 9.33678, 8.67742, 7.97041, 7.21231, 6.39942,
1898  6.06387, 5.72307, 5.35763, 4.96579, 4.54563, 4.17892, 3.92539,
1899  3.65354, 3.36205, 3.09892, 2.90199, 2.69082, 2.48442, 2.32641,
1900  2.15699, 2.00567, 1.85819, 1.72159, 1.59703, 1.48192, 1.3704,
1901  1.26729, 1.16943, 1.08066, 0.998956, 0.924118, 0.864244, 0.802184,
1902  0.737911, 0.682291, 0.634151, 0.57984, 0.538872, 0.498477, 0.462154,
1903  0.423329, 0.389816, 0.360812, 0.33363, 0.311122, 0.289924, 0.269927,
1904  0.257377, 0.244415, 0.236615, 0.235574, 0.239368, 0.255392, 0.288781,
1905  0.359958, 0.516561, 0.891508, 1.27961, 0.536979, 0.143211, 0.0,
1906  0.0, 0.0, 0.0, 0.0, 0.0, 130.377, 129.062,
1907  127.651, 126.138, 124.516, 122.776, 120.911, 118.911, 116.767,
1908  114.467, 112.002, 109.358, 106.523, 103.483, 100.224, 96.729,
1909  92.9815, 88.9632, 84.6545, 80.0344, 75.0804, 69.7685, 64.0726,
1910  57.9651, 51.4163, 44.3942, 36.8646, 28.7908, 20.1336, 12.1343,
1911  11.6622, 11.156, 10.6132, 10.0312, 9.40708, 8.73788, 8.02033,
1912  7.25092, 6.4259, 6.04183, 5.70881, 5.35173, 4.96884, 4.55828,
1913  4.18114, 3.94116, 3.68384, 3.40793, 3.14131, 2.93467, 2.71311,
1914  2.49076, 2.34329, 2.18517, 2.03308, 1.88303, 1.74034, 1.61499,
1915  1.49465, 1.37925, 1.28465, 1.18884, 1.08657, 1.01178, 0.936545,
1916  0.86783, 0.803342, 0.741832, 0.689129, 0.638286, 0.58322, 0.541371,
1917  0.49932, 0.457974, 0.425348, 0.389892, 0.362119, 0.338389, 0.309624,
1918  0.288929, 0.268144, 0.254701, 0.240465, 0.232822, 0.229611, 0.232617,
1919  0.24486, 0.273794, 0.333216, 0.466824, 0.789937, 1.27978, 0.631728,
1920  0.166789, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
1921  131.68, 130.361, 128.946, 127.43, 125.804, 124.06, 122.191,
1922  120.186, 118.036, 115.731, 113.26, 110.61, 107.768, 104.721,
1923  101.454, 97.9507, 94.1942, 90.1663, 85.8473, 81.2161, 76.2503,
1924  70.9256, 65.2161, 59.0939, 52.5294, 45.4904, 37.9428, 29.8497,
1925  21.1718, 12.2581, 11.7802, 11.2677, 10.7182, 10.129, 9.49719,
1926  8.81974, 8.09333, 7.31442, 6.47922, 6.04054, 5.71157, 5.35882,
1927  4.98058, 4.575, 4.18121, 3.94498, 3.69169, 3.42009, 3.14607,
1928  2.9344, 2.70745, 2.46975, 2.32717, 2.17429, 2.02672, 1.88659,
1929  1.75024, 1.63651, 1.51804, 1.39601, 1.28536, 1.18715, 1.1224,
1930  1.03718, 0.952121, 0.879507, 0.813372, 0.747557, 0.68805, 0.637287,
1931  0.587288, 0.542625, 0.500455, 0.465507, 0.427732, 0.390156, 0.362641,
1932  0.333686, 0.310035, 0.28782, 0.269381, 0.251777, 0.238864, 0.229829,
1933  0.223403, 0.225483, 0.234326, 0.259675, 0.311342, 0.424209, 0.698856,
1934  1.23282, 0.738028, 0.195736, 0.0, 0.0, 0.0, 0.0,
1935  0.0, 0.0, 130.109, 128.818, 127.434, 125.949, 124.357,
1936  122.65, 120.82, 118.858, 116.754, 114.497, 112.078, 109.484,
1937  106.702, 103.72, 100.521, 97.0919, 93.4147, 89.4718, 85.2439,
1938  80.7105, 75.8494, 70.6371, 65.0481, 59.0552, 52.6292, 45.7388,
1939  38.3504, 30.4281, 21.9333, 12.8246, 11.8597, 11.3525, 10.8086,
1940  10.2254, 9.60013, 8.92963, 8.21067, 7.43976, 6.61314, 6.12061,
1941  5.79118, 5.43794, 5.05917, 4.65303, 4.23731, 4.00197, 3.74962,
1942  3.47903, 3.19787, 3.00217, 2.79233, 2.56733, 2.38552, 2.19367,
1943  2.02035, 1.88796, 1.75512, 1.64828, 1.53366, 1.4106, 1.30236,
1944  1.20255, 1.11311, 1.0359, 0.961023, 0.888867, 0.81976, 0.75446,
1945  0.693084, 0.636744, 0.589929, 0.545587, 0.502779, 0.462012, 0.426598,
1946  0.393258, 0.36191, 0.334561, 0.311198, 0.289809, 0.26826, 0.250353,
1947  0.235409, 0.225932, 0.220038, 0.218901, 0.226909, 0.24697, 0.291151,
1948  0.387994, 0.619942, 1.15269, 0.855788, 0.228343, 0.0, 0.0,
1949  0.0, 0.0, 0.0, 0.0, 133.024, 131.711, 130.302,
1950  128.793, 127.173, 125.437, 123.576, 121.58, 119.44, 117.145,
1951  114.684, 112.045, 109.216, 106.182, 102.929, 99.4408, 95.7005,
1952  91.69, 87.3897, 82.7785, 77.8342, 72.5325, 66.8477, 60.7521,
1953  54.2159, 47.2074, 39.6924, 31.6343, 22.9939, 13.7291, 11.8718,
1954  11.3731, 10.8383, 10.2649, 9.6501, 8.99084, 8.28394, 7.52596,
1955  6.71319, 6.17196, 5.84369, 5.4917, 5.11427, 4.70956, 4.27561,
1956  4.03601, 3.78098, 3.50753, 3.21431, 3.01962, 2.81287, 2.59118,
1957  2.40549, 2.21548, 2.03739, 1.91178, 1.77865, 1.64853, 1.51829,
1958  1.41192, 1.31053, 1.21341, 1.12705, 1.04081, 0.963474, 0.893005,
1959  0.818374, 0.754564, 0.697436, 0.642688, 0.596312, 0.545717, 0.505793,
1960  0.465281, 0.427513, 0.393342, 0.363178, 0.336169, 0.311152, 0.287232,
1961  0.26362, 0.248216, 0.234844, 0.223759, 0.216071, 0.213828, 0.218465,
1962  0.235663, 0.272108, 0.356217, 0.555794, 1.03351, 0.980233, 0.270485,
1963  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 133.342,
1964  132.037, 130.637, 129.137, 127.527, 125.802, 123.951, 121.967,
1965  119.84, 117.559, 115.113, 112.49, 109.678, 106.662, 103.429,
1966  99.9616, 96.2439, 92.2575, 87.9831, 83.3998, 78.4852, 73.2155,
1967  67.5649, 61.506, 55.0092, 48.043, 40.5733, 32.5637, 23.9754,
1968  14.7664, 12.0274, 11.5211, 10.9782, 10.396, 9.77179, 9.10246,
1969  8.38475, 7.61518, 6.78999, 6.19081, 5.86928, 5.52451, 5.15483,
1970  4.75842, 4.33338, 4.06527, 3.80037, 3.51633, 3.21175, 3.00506,
1971  2.7991, 2.57826, 2.40776, 2.2467, 2.08126, 1.93537, 1.77981,
1972  1.66551, 1.54449, 1.42569, 1.31322, 1.21078, 1.12157, 1.03852,
1973  0.961866, 0.891583, 0.829824, 0.766342, 0.703686, 0.651676, 0.598897,
1974  0.548806, 0.504719, 0.468648, 0.435388, 0.395052, 0.365246, 0.337651,
1975  0.308913, 0.287708, 0.264403, 0.247339, 0.232006, 0.219564, 0.211596,
1976  0.208781, 0.211927, 0.227099, 0.257836, 0.327396, 0.495516, 0.924417,
1977  1.07373, 0.321177, 0.0, 0.0, 0.0, 0.0, 0.0,
1978  0.0, 133.523, 132.225, 130.834, 129.342, 127.743, 126.028,
1979  124.189, 122.217, 120.102, 117.835, 115.403, 112.797, 110.001,
1980  107.004, 103.79, 100.344, 96.6485, 92.6862, 88.4376, 83.8819,
1981  78.997, 73.7591, 68.1427, 62.1204, 55.6628, 48.7386, 41.314,
1982  33.3529, 24.8164, 15.663, 12.0634, 11.5628, 11.026, 10.4504,
1983  9.83323, 9.17146, 8.46186, 7.70099, 6.88512, 6.23715, 5.9189,
1984  5.57766, 5.21175, 4.8194, 4.3987, 4.11116, 3.84505, 3.55971,
1985  3.25376, 3.03638, 2.8333, 2.61554, 2.43746, 2.27555, 2.10525,
1986  1.9543, 1.79244, 1.67844, 1.56145, 1.43603, 1.3178, 1.22039,
1987  1.13359, 1.0559, 0.983903, 0.905239, 0.828917, 0.766263, 0.711766,
1988  0.655551, 0.599466, 0.559109, 0.513189, 0.470097, 0.43584, 0.400467,
1989  0.365539, 0.337759, 0.309522, 0.285933, 0.265438, 0.246655, 0.23071,
1990  0.219076, 0.20831, 0.204936, 0.205687, 0.216235, 0.2447, 0.30573,
1991  0.446575, 0.817607, 1.16261, 0.381347, 0.0, 0.0, 0.0,
1992  0.0, 0.0, 0.0, 133.382, 132.095, 130.714, 129.234,
1993  127.647, 125.946, 124.121, 122.165, 120.067, 117.817, 115.405,
1994  112.819, 110.045, 107.072, 103.883, 100.464, 96.7981, 92.8671,
1995  88.652, 84.1322, 79.2859, 74.0893, 68.5171, 62.5423, 56.1357,
1996  49.2661, 41.9001, 34.0017, 25.5325, 16.4513, 12.0152, 11.5313,
1997  11.0124, 10.4561, 9.85951, 9.21982, 8.53391, 7.79843, 7.0098,
1998  6.3246, 5.99765, 5.64707, 5.27116, 4.86808, 4.43587, 4.13734,
1999  3.88842, 3.62151, 3.33531, 3.09651, 2.87097, 2.62914, 2.43225,
2000  2.27006, 2.0963, 1.96832, 1.83109, 1.70215, 1.56782, 1.44999,
2001  1.33443, 1.23575, 1.15441, 1.07268, 0.984679, 0.901949, 0.839039,
2002  0.774629, 0.718918, 0.662839, 0.608859, 0.560458, 0.520203, 0.473041,
2003  0.433277, 0.403639, 0.369876, 0.337858, 0.309948, 0.285712, 0.265004,
2004  0.245368, 0.229329, 0.21487, 0.205973, 0.199841, 0.200529, 0.209745,
2005  0.233301, 0.283986, 0.405962, 0.721036, 1.17685, 0.457437, 0.0,
2006  0.0, 0.0, 0.0, 0.0, 0.0, 134.502, 133.215,
2007  131.835, 130.355, 128.768, 127.066, 125.242, 123.285, 121.187,
2008  118.938, 116.526, 113.939, 111.166, 108.192, 105.004, 101.585,
2009  97.9188, 93.9877, 89.7726, 85.2529, 80.4065, 75.2099, 69.6378,
2010  63.663, 57.2564, 50.3868, 43.0207, 35.1224, 26.6532, 17.572,
2011  12.2562, 11.7564, 11.2204, 10.6457, 10.0295, 9.36874, 8.66024,
2012  7.90054, 7.08594, 6.32787, 6.00717, 5.6633, 5.29457, 4.8992,
2013  4.47526, 4.15418, 3.89767, 3.62262, 3.32769, 3.09017, 2.88898,
2014  2.67325, 2.47805, 2.31007, 2.12995, 1.98535, 1.83535, 1.70498,
2015  1.57671, 1.46191, 1.34736, 1.24492, 1.15482, 1.07438, 1.00192,
2016  0.922022, 0.844076, 0.781501, 0.724457, 0.662439, 0.613506, 0.56272,
2017  0.511609, 0.474159, 0.438325, 0.405047, 0.369951, 0.339694, 0.3086,
2018  0.28654, 0.264047, 0.246456, 0.2289, 0.21504, 0.204079, 0.195886,
2019  0.19509, 0.202455, 0.221122, 0.266434, 0.369068, 0.639668, 1.16239,
2020  0.53912, 0.121634, 0.0, 0.0, 0.0, 0.0, 0.0,
2021  135.743, 134.452, 133.068, 131.584, 129.993, 128.287, 126.458,
2022  124.496, 122.393, 120.137, 117.719, 115.126, 112.345, 109.364,
2023  106.167, 102.739, 99.0631, 95.1218, 90.8956, 86.3641, 81.505,
2024  76.2948, 70.7081, 64.7176, 58.2942, 51.4066, 44.0213, 36.1023,
2025  27.6109, 18.506, 12.3065, 11.8151, 11.2881, 10.7231, 10.1172,
2026  9.46758, 8.77098, 8.02404, 7.22312, 6.4224, 6.09386, 5.74158,
2027  5.36385, 4.95881, 4.5245, 4.18306, 3.93656, 3.67225, 3.38884,
2028  3.13926, 2.92561, 2.69652, 2.48665, 2.32162, 2.14467, 2.00825,
2029  1.87447, 1.73782, 1.59527, 1.47854, 1.36762, 1.26999, 1.17966,
2030  1.09392, 1.00427, 0.926507, 0.85591, 0.799278, 0.735058, 0.672588,
2031  0.619545, 0.569322, 0.517562, 0.482444, 0.440205, 0.401187, 0.374646,
2032  0.345072, 0.313271, 0.288582, 0.265455, 0.245446, 0.226084, 0.212487,
2033  0.201755, 0.194467, 0.192433, 0.195464, 0.211594, 0.250282, 0.338484,
2034  0.568492, 1.10092, 0.638567, 0.142702, 0.0, 0.0, 0.0,
2035  0.0, 0.0, 136.632, 135.342, 133.958, 132.475, 130.884,
2036  129.178, 127.349, 125.387, 123.284, 121.029, 118.611, 116.018,
2037  113.238, 110.257, 107.061, 103.633, 99.9579, 96.0171, 91.7915,
2038  87.2605, 82.4021, 77.1926, 71.6066, 65.617, 59.1944, 52.3078,
2039  44.9234, 37.0054, 28.5152, 19.4115, 12.3415, 11.8581, 11.3397,
2040  10.7839, 10.1879, 9.5489, 8.86368, 8.12895, 7.34111, 6.50148,
2041  6.1766, 5.82825, 5.45473, 5.05421, 4.62474, 4.2577, 3.99482,
2042  3.71295, 3.4107, 3.14278, 2.93666, 2.71565, 2.50535, 2.34786,
2043  2.179, 2.03313, 1.89072, 1.7546, 1.62292, 1.50654, 1.39512,
2044  1.28829, 1.18603, 1.09219, 1.01005, 0.931339, 0.859086, 0.792899,
2045  0.736304, 0.67062, 0.623395, 0.574056, 0.527484, 0.48812, 0.445007,
2046  0.409554, 0.37642, 0.34561, 0.314525, 0.28812, 0.266827, 0.243941,
2047  0.226426, 0.212675, 0.199892, 0.190965, 0.188274, 0.190928, 0.203527,
2048  0.236522, 0.311208, 0.504374, 1.0095, 0.749641, 0.169636, 0.0,
2049  0.0, 0.0, 0.0, 0.0, 134.819, 133.558, 132.207,
2050  130.758, 129.204, 127.538, 125.751, 123.836, 121.782, 119.579,
2051  117.217, 114.685, 111.97, 109.058, 105.936, 102.588, 98.9988,
2052  95.1498, 91.0227, 86.5973, 81.852, 76.7639, 71.3081, 65.458,
2053  59.1851, 52.4589, 45.2466, 37.513, 29.2207, 20.329, 12.5674,
2054  12.0797, 11.5568, 10.9962, 10.395, 9.75038, 9.05916, 8.318,
2055  7.52327, 6.67112, 6.286, 5.9226, 5.53293, 5.11511, 4.66709,
2056  4.27193, 4.0248, 3.75982, 3.47568, 3.20793, 3.00012, 2.77729,
2057  2.55509, 2.38754, 2.20788, 2.04461, 1.88738, 1.74541, 1.62627,
2058  1.51052, 1.39593, 1.29251, 1.19205, 1.09826, 1.0269, 0.936197,
2059  0.864586, 0.800668, 0.743072, 0.687605, 0.626258, 0.578762, 0.532024,
2060  0.486406, 0.448709, 0.413729, 0.378123, 0.345645, 0.316666, 0.290252,
2061  0.267816, 0.246519, 0.225949, 0.210919, 0.198475, 0.188277, 0.183597,
2062  0.185057, 0.195839, 0.223355, 0.287697, 0.452789, 0.909864, 0.862416,
2063  0.200945, 0.0, 0.0, 0.0, 0.0, 0.0, 138.471,
2064  137.182, 135.801, 134.32, 132.731, 131.028, 129.202, 127.243,
2065  125.144, 122.892, 120.478, 117.889, 115.114, 112.137, 108.946,
2066  105.524, 101.854, 97.9197, 93.7008, 89.177, 84.3263, 79.125,
2067  73.5479, 67.5677, 61.1553, 54.2796, 46.9069, 39.0014, 30.5247,
2068  21.4353, 12.6305, 12.136, 11.6058, 11.0373, 10.4276, 9.77396,
2069  9.07304, 8.32146, 7.51557, 6.65145, 6.22978, 5.88822, 5.52197,
2070  5.12926, 4.70816, 4.31178, 4.06586, 3.80217, 3.51942, 3.24417,
2071  3.04387, 2.8291, 2.60566, 2.42639, 2.23417, 2.06779, 1.92462,
2072  1.78345, 1.65457, 1.53054, 1.41381, 1.31072, 1.21187, 1.12001,
2073  1.03324, 0.956149, 0.880415, 0.80759, 0.748175, 0.69061, 0.634278,
2074  0.583666, 0.536375, 0.491643, 0.454694, 0.413691, 0.382874, 0.346326,
2075  0.31699, 0.291444, 0.267341, 0.246171, 0.226852, 0.210335, 0.196924,
2076  0.18724, 0.181763, 0.181287, 0.188806, 0.213351, 0.267906, 0.405477,
2077  0.801809, 0.967314, 0.238577, 0.0, 0.0, 0.0, 0.0,
2078  0.0, 137.483, 136.214, 134.853, 133.394, 131.829, 130.151,
2079  128.353, 126.424, 124.355, 122.138, 119.76, 117.21, 114.476,
2080  111.544, 108.4, 105.03, 101.415, 97.5395, 93.3839, 88.9279,
2081  84.1499, 79.0266, 73.5331, 67.6426, 61.3263, 54.5536, 47.2915,
2082  39.5046, 31.1549, 22.2018, 12.6711, 12.1872, 11.6683, 11.1119,
2083  10.5153, 9.8756, 9.18966, 8.45415, 7.66548, 6.81982, 6.34872,
2084  6.00663, 5.63982, 5.2465, 4.82476, 4.40407, 4.13692, 3.85047,
2085  3.54331, 3.23419, 3.02849, 2.80792, 2.57273, 2.41522, 2.24632,
2086  2.08704, 1.94413, 1.79697, 1.65602, 1.527, 1.42553, 1.32129,
2087  1.21431, 1.11026, 1.03516, 0.963445, 0.883556, 0.808614, 0.755297,
2088  0.699824, 0.641778, 0.593285, 0.540045, 0.492073, 0.454556, 0.418164,
2089  0.380999, 0.346653, 0.321056, 0.294232, 0.27046, 0.247147, 0.228214,
2090  0.209895, 0.196989, 0.185843, 0.178405, 0.176077, 0.182349, 0.203249,
2091  0.250849, 0.368748, 0.708556, 1.04515, 0.285181, 0.0, 0.0,
2092  0.0, 0.0, 0.0, 138.232, 136.963, 135.602, 134.143,
2093  132.579, 130.902, 129.103, 127.174, 125.106, 122.889, 120.511,
2094  117.962, 115.228, 112.297, 109.153, 105.783, 102.169, 98.294,
2095  94.1389, 89.6835, 84.9061, 79.7835, 74.2907, 68.4009, 62.0855,
2096  55.3137, 48.0525, 40.2666, 31.918, 22.9661, 13.3672, 12.1127,
2097  11.6147, 11.0808, 10.5082, 9.89425, 9.23593, 8.53004, 7.77314,
2098  6.96155, 6.43859, 6.07655, 5.68835, 5.2721, 4.82577, 4.36271,
2099  4.11638, 3.85224, 3.56902, 3.27183, 3.07479, 2.86351, 2.63697,
2100  2.46153, 2.27918, 2.10161, 1.94466, 1.78651, 1.66428, 1.54435,
2101  1.44359, 1.33655, 1.22714, 1.14276, 1.05451, 0.967083, 0.892156,
2102  0.831022, 0.768558, 0.708763, 0.649592, 0.597472, 0.550501, 0.497167,
2103  0.460446, 0.422057, 0.386132, 0.353074, 0.323956, 0.296505, 0.270534,
2104  0.245713, 0.22588, 0.210481, 0.195994, 0.185105, 0.175948, 0.172609,
2105  0.177122, 0.193688, 0.235474, 0.335275, 0.62397, 1.0737, 0.338985,
2106  0.0, 0.0, 0.0, 0.0, 0.0, 135.828, 134.594,
2107  133.27, 131.851, 130.33, 128.698, 126.949, 125.073, 123.062,
2108  120.905, 118.593, 116.113, 113.454, 110.603, 107.546, 104.268,
2109  100.753, 96.9844, 92.9431, 88.6099, 83.9634, 78.9812, 73.6389,
2110  67.9106, 61.7683, 55.1821, 48.1199, 40.5474, 32.4276, 23.721,
2111  14.3853, 12.3086, 11.7973, 11.249, 10.661, 10.0306, 9.35458,
2112  8.62974, 7.85251, 7.01912, 6.44248, 6.08798, 5.70787, 5.30028,
2113  4.86324, 4.39462, 4.14946, 3.89464, 3.62139, 3.32841, 3.11559,
2114  2.89146, 2.65112, 2.4808, 2.31614, 2.1468, 1.98568, 1.81848,
2115  1.69639, 1.57224, 1.46661, 1.35818, 1.24726, 1.15259, 1.07269,
2116  0.99278, 0.910536, 0.841875, 0.772033, 0.712187, 0.656319, 0.598993,
2117  0.551257, 0.507748, 0.463065, 0.424909, 0.388673, 0.355678, 0.325315,
2118  0.297874, 0.271796, 0.249569, 0.227728, 0.21029, 0.196532, 0.183005,
2119  0.175032, 0.169587, 0.172314, 0.186363, 0.219685, 0.306752, 0.551609,
2120  1.08219, 0.410622, 0.0, 0.0, 0.0, 0.0, 0.0,
2121  139.669, 138.407, 137.054, 135.604, 134.048, 132.38, 130.592,
2122  128.674, 126.618, 124.413, 122.049, 119.514, 116.796, 113.881,
2123  110.756, 107.405, 103.811, 99.9583, 95.8269, 91.3969, 86.6467,
2124  81.5533, 76.0917, 70.2355, 63.9561, 57.2228, 50.003, 42.2614,
2125  33.9604, 25.0594, 15.5152, 12.5403, 12.0176, 11.4571, 10.8561,
2126  10.2116, 9.52063, 8.77968, 7.98519, 7.13328, 6.50137, 6.15899,
2127  5.79188, 5.39823, 4.97614, 4.52354, 4.23606, 3.95532, 3.65429,
2128  3.33151, 3.11452, 2.90119, 2.67244, 2.49234, 2.32231, 2.14795,
2129  1.99889, 1.83917, 1.71482, 1.58422, 1.46623, 1.35699, 1.26214,
2130  1.1712, 1.08278, 1.00148, 0.927778, 0.847667, 0.770369, 0.718083,
2131  0.663827, 0.604078, 0.552984, 0.509907, 0.469308, 0.429255, 0.392749,
2132  0.356748, 0.325961, 0.297379, 0.274353, 0.250885, 0.229819, 0.210495,
2133  0.194651, 0.182378, 0.172339, 0.167168, 0.168161, 0.179939, 0.208654,
2134  0.283125, 0.490918, 1.02254, 0.490188, 0.0, 0.0, 0.0,
2135  0.0, 0.0, 138.788, 137.543, 136.208, 134.777, 133.242,
2136  131.597, 129.832, 127.94, 125.912, 123.736, 121.404, 118.902,
2137  116.221, 113.345, 110.261, 106.955, 103.41, 99.6081, 95.5319,
2138  91.1611, 86.4744, 81.449, 76.0604, 70.2825, 64.0869, 57.4437,
2139  50.3203, 42.6822, 34.4921, 25.7101, 16.2934, 12.5162, 11.9973,
2140  11.441, 10.8444, 10.2046, 9.51871, 8.7832, 7.99454, 7.14888,
2141  6.47331, 6.1452, 5.79337, 5.41612, 5.01161, 4.57786, 4.28628,
2142  4.02055, 3.7356, 3.43007, 3.19186, 2.96179, 2.71509, 2.52354,
2143  2.35771, 2.1828, 2.02581, 1.85748, 1.73667, 1.61321, 1.49187,
2144  1.37497, 1.27429, 1.17445, 1.09267, 1.02187, 0.930311, 0.857305,
2145  0.78727, 0.731984, 0.665996, 0.609799, 0.569678, 0.516482, 0.474181,
2146  0.434449, 0.396247, 0.358766, 0.332341, 0.303, 0.27412, 0.253094,
2147  0.228471, 0.210406, 0.196353, 0.181386, 0.170896, 0.165283, 0.164524,
2148  0.173396, 0.198267, 0.262172, 0.433246, 0.93814, 0.583356, 0.0,
2149  0.0, 0.0, 0.0, 0.0, 140.508, 139.256, 137.914,
2150  136.475, 134.931, 133.276, 131.502, 129.599, 127.558, 125.37,
2151  123.025, 120.509, 117.812, 114.92, 111.818, 108.493, 104.928,
2152  101.104, 97.0047, 92.6088, 87.8953, 82.8411, 77.4217, 71.6107,
2153  65.3797, 58.6984, 51.5343, 43.8524, 35.6154, 26.7831, 17.3125,
2154  12.6681, 12.144, 11.5822, 10.9796, 10.3336, 9.64087, 8.89807,
2155  8.1016, 7.24756, 6.51053, 6.17646, 5.81826, 5.43416, 5.02231,
2156  4.58069, 4.27262, 4.01399, 3.73668, 3.43932, 3.2038, 2.98877,
2157  2.75819, 2.56145, 2.39018, 2.20662, 2.05308, 1.88844, 1.75512,
2158  1.62158, 1.5076, 1.39384, 1.29004, 1.19357, 1.10315, 1.01979,
2159  0.93733, 0.857347, 0.79577, 0.732137, 0.677753, 0.614449, 0.572239,
2160  0.518949, 0.483916, 0.438808, 0.397562, 0.364917, 0.332542, 0.305817,
2161  0.277767, 0.254017, 0.23253, 0.211901, 0.195565, 0.180845, 0.170004,
2162  0.162413, 0.161773, 0.167604, 0.188698, 0.242162, 0.391633, 0.84622,
2163  0.683395, 0.0, 0.0, 0.0, 0.0, 0.0, 142.352,
2164  141.091, 139.74, 138.29, 136.736, 135.07, 133.283, 131.368,
2165  129.313, 127.111, 124.749, 122.216, 119.501, 116.589, 113.466,
2166  110.118, 106.529, 102.679, 98.5517, 94.126, 89.3803, 84.2918,
2167  78.8355, 72.9849, 66.7114, 59.9846, 52.7717, 45.0376, 36.7445,
2168  27.852, 18.317, 12.797, 12.2828, 11.7313, 11.14, 10.506,
2169  9.82614, 9.09716, 8.3155, 7.47734, 6.69905, 6.35963, 5.99569,
2170  5.60544, 5.18699, 4.7383, 4.39394, 4.11241, 3.81054, 3.48685,
2171  3.23318, 3.02314, 2.79792, 2.59886, 2.43283, 2.25481, 2.10275,
2172  1.94346, 1.79574, 1.64582, 1.51383, 1.38879, 1.3072, 1.20543,
2173  1.10379, 1.02485, 0.946065, 0.880194, 0.795273, 0.752441, 0.677475,
2174  0.628047, 0.571675, 0.526022, 0.482249, 0.441714, 0.40479, 0.370864,
2175  0.334931, 0.306508, 0.279733, 0.255102, 0.233092, 0.213341, 0.196506,
2176  0.178834, 0.16927, 0.161378, 0.157825, 0.162966, 0.180499, 0.227903,
2177  0.350946, 0.744347, 0.795339, 0.153923, 0.0, 0.0, 0.0,
2178  0.0, 141.989, 140.74, 139.402, 137.967, 136.428, 134.777,
2179  133.008, 131.11, 129.076, 126.894, 124.555, 122.047, 119.357,
2180  116.473, 113.381, 110.065, 106.51, 102.698, 98.6098, 94.2265,
2181  89.5265, 84.4869, 79.083, 73.2886, 67.0755, 60.4133, 53.2697,
2182  45.6099, 37.3965, 28.5895, 19.1461, 12.8363, 12.3256, 11.7781,
2183  11.1909, 10.5614, 9.88632, 9.16248, 8.38634, 7.5541, 6.72914,
2184  6.38593, 6.01791, 5.62329, 5.20016, 4.74645, 4.39009, 4.12722,
2185  3.84534, 3.5431, 3.28659, 3.07545, 2.84905, 2.63458, 2.44966,
2186  2.25138, 2.09793, 1.94614, 1.81089, 1.68108, 1.55548, 1.42841,
2187  1.32443, 1.22602, 1.13479, 1.05332, 0.946859, 0.885607, 0.820609,
2188  0.751837, 0.690859, 0.631393, 0.585503, 0.529885, 0.49207, 0.444384,
2189  0.409967, 0.372299, 0.340731, 0.31241, 0.283165, 0.255859, 0.233151,
2190  0.213653, 0.196005, 0.180595, 0.168155, 0.160272, 0.155141, 0.158928,
2191  0.173576, 0.212556, 0.320344, 0.660804, 0.887468, 0.182976, 0.0,
2192  0.0, 0.0, 0.0, 142.967, 141.722, 140.386, 138.954,
2193  137.418, 135.771, 134.006, 132.113, 130.083, 127.906, 125.572,
2194  123.069, 120.385, 117.508, 114.422, 111.114, 107.566, 103.762,
2195  99.6835, 95.3099, 90.6202, 85.5916, 80.1996, 74.418, 68.2185,
2196  61.571, 54.4431, 46.8001, 38.6048, 29.8172, 20.3945, 13.2501,
2197  12.7123, 12.1356, 11.5173, 10.8543, 10.1433, 9.38101, 8.5636,
2198  7.68713, 6.76528, 6.42525, 6.06064, 5.66969, 5.25048, 4.80098,
2199  4.42518, 4.15981, 3.87525, 3.57013, 3.29799, 3.07979, 2.84583,
2200  2.62271, 2.44813, 2.26093, 2.11437, 1.9768, 1.8361, 1.69065,
2201  1.56783, 1.45257, 1.33339, 1.23297, 1.15004, 1.04967, 0.972096,
2202  0.902591, 0.828622, 0.761305, 0.704275, 0.650676, 0.589579, 0.54014,
2203  0.49185, 0.454299, 0.413209, 0.373578, 0.341525, 0.313837, 0.28401,
2204  0.257992, 0.234376, 0.215512, 0.196606, 0.180034, 0.167369, 0.158745,
2205  0.153388, 0.154627, 0.1657, 0.200724, 0.291367, 0.578293, 0.972562,
2206  0.220013, 0.0, 0.0, 0.0, 0.0, 143.955, 142.707,
2207  141.37, 139.935, 138.397, 136.748, 134.979, 133.083, 131.049,
2208  128.869, 126.531, 124.024, 121.336, 118.454, 115.363, 112.049,
2209  108.496, 104.686, 100.6, 96.2194, 91.522, 86.4852, 81.0843,
2210  75.2931, 69.0835, 62.425, 55.2854, 47.6298, 39.421, 30.619,
2211  21.1808, 13.1899, 12.6723, 12.1172, 11.5221, 10.884, 10.1997,
2212  9.46599, 8.67926, 7.83567, 6.93112, 6.55631, 6.19223, 5.80184,
2213  5.38324, 4.93438, 4.53617, 4.26315, 3.97041, 3.6565, 3.36772,
2214  3.14979, 2.91611, 2.68161, 2.48852, 2.28148, 2.11533, 1.96759,
2215  1.82782, 1.69891, 1.57365, 1.44863, 1.33602, 1.22954, 1.134,
2216  1.05031, 0.976015, 0.905683, 0.83456, 0.764463, 0.699309, 0.645738,
2217  0.596067, 0.54638, 0.498729, 0.456952, 0.421005, 0.379619, 0.345155,
2218  0.315988, 0.286005, 0.259841, 0.238855, 0.216163, 0.198254, 0.180015,
2219  0.167407, 0.157387, 0.15218, 0.151177, 0.161593, 0.190039, 0.26755,
2220  0.513231, 0.990236, 0.263726, 0.0, 0.0, 0.0, 0.0,
2221  143.303, 142.069, 140.745, 139.326, 137.804, 136.173, 134.423,
2222  132.547, 130.535, 128.378, 126.066, 123.586, 120.926, 118.075,
2223  115.018, 111.739, 108.224, 104.455, 100.413, 96.0791, 91.4321,
2224  86.4493, 81.1064, 75.3773, 69.2342, 62.6472, 55.5842, 48.0107,
2225  39.8899, 31.1822, 21.8453, 13.1092, 12.6028, 12.0599, 11.4777,
2226  10.8534, 10.1841, 9.46633, 8.69672, 7.87149, 6.98663, 6.57658,
2227  6.23008, 5.85855, 5.46016, 5.03298, 4.62933, 4.34638, 4.04298,
2228  3.71765, 3.40185, 3.15802, 2.89657, 2.6365, 2.49034, 2.33362,
2229  2.17791, 2.02057, 1.86904, 1.73391, 1.60384, 1.47941, 1.37083,
2230  1.25979, 1.14152, 1.06993, 0.996374, 0.913707, 0.840095, 0.773343,
2231  0.715806, 0.660115, 0.598963, 0.554105, 0.499972, 0.460849, 0.421116,
2232  0.383249, 0.350591, 0.31754, 0.289376, 0.262767, 0.239914, 0.219162,
2233  0.198193, 0.180473, 0.167139, 0.155667, 0.15047, 0.148311, 0.155609,
2234  0.181607, 0.247693, 0.450611, 0.982486, 0.320379, 0.0, 0.0,
2235  0.0, 0.0, 147.825, 146.557, 145.199, 143.742, 142.18,
2236  140.504, 138.708, 136.782, 134.717, 132.503, 130.128, 127.582,
2237  124.852, 121.925, 118.786, 115.42, 111.811, 107.941, 103.792,
2238  99.3423, 94.5714, 89.4558, 83.9705, 78.0887, 71.7819, 65.0193,
2239  57.768, 49.9927, 41.6555, 32.7157, 23.1299, 13.3071, 12.7926,
2240  12.241, 11.6495, 11.0152, 10.3351, 9.6059, 8.82396, 7.98551,
2241  7.08647, 6.60928, 6.24636, 5.85721, 5.43994, 4.99251, 4.55733,
2242  4.28953, 4.00238, 3.69447, 3.38821, 3.17219, 2.94056, 2.69716,
2243  2.53002, 2.3508, 2.17896, 2.01703, 1.86456, 1.74997, 1.62553,
2244  1.48985, 1.3821, 1.28166, 1.18064, 1.1026, 1.01117, 0.921345,
2245  0.847821, 0.780166, 0.71695, 0.660912, 0.602789, 0.558852, 0.511544,
2246  0.468988, 0.427295, 0.390891, 0.353842, 0.321764, 0.291799, 0.263939,
2247  0.242776, 0.219481, 0.197846, 0.181988, 0.166964, 0.156339, 0.14831,
2248  0.145362, 0.150945, 0.172825, 0.229831, 0.401174, 0.924846, 0.383458,
2249  0.0, 0.0, 0.0, 0.0, 149.422, 148.149, 146.784,
2250  145.32, 143.75, 142.067, 140.263, 138.328, 136.253, 134.028,
2251  131.642, 129.084, 126.342, 123.4, 120.247, 116.865, 113.239,
2252  109.351, 105.183, 100.712, 95.9191, 90.7795, 85.2684, 79.3591,
2253  73.0227, 66.2284, 58.9431, 51.1314, 42.755, 33.7734, 24.1427,
2254  13.816, 12.9032, 12.354, 11.7652, 11.1337, 10.4567, 9.73067,
2255  8.95221, 8.11749, 7.22245, 6.69772, 6.3394, 5.95518, 5.5432,
2256  5.10144, 4.65138, 4.37909, 4.08712, 3.77404, 3.45127, 3.23087,
2257  2.99454, 2.74114, 2.57726, 2.40527, 2.23437, 2.07201, 1.91149,
2258  1.78775, 1.65487, 1.51201, 1.39951, 1.30101, 1.20127, 1.10422,
2259  1.01043, 0.926515, 0.85405, 0.791074, 0.729793, 0.663397, 0.617116,
2260  0.569458, 0.513142, 0.473631, 0.430533, 0.389421, 0.356159, 0.324784,
2261  0.293579, 0.269503, 0.243544, 0.219768, 0.200963, 0.182265, 0.167118,
2262  0.155866, 0.146219, 0.143021, 0.147047, 0.165445, 0.213113, 0.360202,
2263  0.850775, 0.466905, 0.0, 0.0, 0.0, 0.0, 146.662,
2264  145.425, 144.098, 142.675, 141.149, 139.513, 137.759, 135.878,
2265  133.861, 131.698, 129.38, 126.893, 124.227, 121.368, 118.302,
2266  115.015, 111.491, 107.712, 103.659, 99.314, 94.6547, 89.6588,
2267  84.3017, 78.5576, 72.3983, 65.7939, 58.7122, 51.1188, 42.9766,
2268  34.246, 24.8844, 14.8464, 13.1033, 12.5434, 11.9431, 11.2994,
2269  10.6091, 9.869, 9.07538, 8.22442, 7.31195, 6.72352, 6.35712,
2270  5.96425, 5.54298, 5.09126, 4.6121, 4.35585, 4.08109, 3.78646,
2271  3.47222, 3.27159, 3.05646, 2.82578, 2.63516, 2.43848, 2.24912,
2272  2.09402, 1.93268, 1.79089, 1.64854, 1.5255, 1.40818, 1.29538,
2273  1.19787, 1.10692, 1.01884, 0.939557, 0.872382, 0.804868, 0.743719,
2274  0.681369, 0.627137, 0.57376, 0.522417, 0.476313, 0.430814, 0.398385,
2275  0.36104, 0.328768, 0.296864, 0.269954, 0.24598, 0.222207, 0.201811,
2276  0.18378, 0.167864, 0.155885, 0.146254, 0.141595, 0.14298, 0.157796,
2277  0.200505, 0.322473, 0.756642, 0.55642, 0.0, 0.0, 0.0,
2278  0.0, 150.57, 149.306, 147.951, 146.498, 144.941, 143.27,
2279  141.479, 139.559, 137.499, 135.291, 132.924, 130.385, 127.663,
2280  124.744, 121.614, 118.258, 114.659, 110.8, 106.663, 102.226,
2281  97.4689, 92.3679, 86.8982, 81.0333, 74.7446, 68.0013, 60.7708,
2282  53.0177, 44.7044, 35.7902, 26.2319, 15.9828, 13.3528, 12.7803,
2283  12.1666, 11.5084, 10.8027, 10.046, 9.23463, 8.3646, 7.43171,
2284  6.78498, 6.42811, 6.04545, 5.63514, 5.19518, 4.72342, 4.44556,
2285  4.16341, 3.86087, 3.53646, 3.31208, 3.08121, 2.83364, 2.64595,
2286  2.46473, 2.28015, 2.1152, 1.94155, 1.80929, 1.67122, 1.54221,
2287  1.42302, 1.315, 1.20727, 1.10845, 1.02635, 0.955687, 0.874067,
2288  0.805956, 0.745306, 0.686286, 0.624967, 0.576401, 0.523519, 0.481643,
2289  0.445214, 0.402019, 0.367753, 0.330884, 0.301505, 0.274617, 0.246692,
2290  0.223811, 0.203262, 0.184986, 0.168927, 0.154653, 0.145038, 0.139828,
2291  0.139528, 0.152502, 0.187836, 0.292753, 0.666467, 0.653309, 0.0,
2292  0.0, 0.0, 0.0, 149.309, 148.064, 146.729, 145.298,
2293  143.763, 142.117, 140.353, 138.461, 136.432, 134.256, 131.924,
2294  129.422, 126.74, 123.864, 120.781, 117.474, 113.929, 110.127,
2295  106.051, 101.68, 96.9926, 91.967, 86.5781, 80.7999, 74.604,
2296  67.9604, 60.8367, 53.1982, 45.0076, 36.2252, 26.8081, 16.7104,
2297  13.291, 12.74, 12.1492, 11.5157, 10.8364, 10.108, 9.327,
2298  8.48953, 7.59154, 6.90763, 6.54458, 6.1553, 5.73789, 5.29032,
2299  4.8104, 4.50805, 4.22126, 3.91373, 3.58399, 3.35041, 3.12245,
2300  2.87802, 2.67843, 2.48981, 2.29677, 2.14308, 1.97829, 1.8265,
2301  1.6693, 1.55422, 1.44096, 1.33411, 1.23816, 1.14252, 1.05299,
2302  0.974881, 0.893652, 0.820151, 0.752833, 0.697705, 0.634917, 0.583578,
2303  0.534721, 0.488138, 0.446806, 0.40347, 0.372901, 0.336526, 0.303341,
2304  0.275399, 0.250144, 0.22616, 0.203551, 0.185542, 0.169106, 0.155889,
2305  0.144315, 0.137622, 0.138155, 0.147393, 0.177996, 0.267929, 0.585329,
2306  0.75325, 0.0, 0.0, 0.0, 0.0, 151.181, 149.928,
2307  148.585, 147.145, 145.6, 143.944, 142.169, 140.265, 138.223,
2308  136.034, 133.687, 131.17, 128.471, 125.577, 122.474, 119.147,
2309  115.58, 111.754, 107.652, 103.254, 98.5376, 93.4806, 88.0581,
2310  82.2437, 76.0091, 69.324, 62.1557, 54.4695, 46.2277, 37.3904,
2311  27.9144, 17.7536, 13.4716, 12.9197, 12.328, 11.6935, 11.0132,
2312  10.2837, 9.50151, 8.66277, 7.76342, 7.01991, 6.63631, 6.22499,
2313  5.78394, 5.31101, 4.80391, 4.49101, 4.22592, 3.94167, 3.63688,
2314  3.39562, 3.16421, 2.91607, 2.71117, 2.52773, 2.33381, 2.16451,
2315  1.98297, 1.83795, 1.68884, 1.58479, 1.47762, 1.37167, 1.25456,
2316  1.14579, 1.05545, 0.980417, 0.896492, 0.834817, 0.763823, 0.703916,
2317  0.642051, 0.591863, 0.53881, 0.493843, 0.448792, 0.409698, 0.375557,
2318  0.339543, 0.307827, 0.280457, 0.253258, 0.228277, 0.20644, 0.186305,
2319  0.169991, 0.155744, 0.143408, 0.136615, 0.134444, 0.14152, 0.168346,
2320  0.244396, 0.511893, 0.848407, 0.0, 0.0, 0.0, 0.0,
2321  150.67, 149.429, 148.099, 146.672, 145.143, 143.503, 141.744,
2322  139.858, 137.836, 135.668, 133.343, 130.851, 128.178, 125.311,
2323  122.238, 118.943, 115.409, 111.62, 107.558, 103.201, 98.5301,
2324  93.5214, 88.1507, 82.3919, 76.2169, 69.5957, 62.496, 54.8832,
2325  46.7203, 37.9674, 28.582, 18.5184, 13.4409, 12.8915, 12.3024,
2326  11.6707, 10.9933, 10.2671, 9.48828, 8.65323, 7.75782, 6.97733,
2327  6.63233, 6.2624, 5.86574, 5.44042, 4.98435, 4.63879, 4.33479,
2328  4.00881, 3.65927, 3.40264, 3.18431, 2.9502, 2.73386, 2.53079,
2329  2.31304, 2.16736, 2.01229, 1.87463, 1.7339, 1.61565, 1.49234,
2330  1.36212, 1.25742, 1.16805, 1.08804, 0.995401, 0.922583, 0.852007,
2331  0.773757, 0.706626, 0.652378, 0.593818, 0.543932, 0.500147, 0.453738,
2332  0.413604, 0.376637, 0.344362, 0.310912, 0.283305, 0.251871, 0.230483,
2333  0.208901, 0.18735, 0.171736, 0.155518, 0.143411, 0.135791, 0.132788,
2334  0.138389, 0.160407, 0.226154, 0.451565, 0.88727, 0.0, 0.0,
2335  0.0, 0.0, 152.569, 151.321, 149.982, 148.547, 147.008,
2336  145.358, 143.589, 141.692, 139.657, 137.476, 135.137, 132.629,
2337  129.94, 127.056, 123.964, 120.649, 117.094, 113.282, 109.195,
2338  104.812, 100.113, 95.0734, 89.6702, 83.8764, 77.664, 71.0026,
2339  63.8599, 56.2009, 47.9884, 39.1825, 29.7402, 19.6154, 13.6682,
2340  13.1167, 12.5253, 11.8912, 11.2113, 10.4822, 9.70051, 8.86227,
2341  7.96346, 7.12351, 6.75864, 6.3674, 5.94788, 5.49805, 5.01571,
2342  4.6508, 4.36059, 4.0494, 3.71572, 3.43992, 3.20044, 2.94366,
2343  2.71828, 2.53427, 2.33696, 2.19326, 2.04642, 1.90305, 1.75469,
2344  1.62385, 1.49454, 1.38311, 1.28173, 1.18373, 1.08498, 1.00466,
2345  0.928461, 0.840473, 0.785732, 0.718648, 0.658003, 0.604538, 0.55642,
2346  0.50584, 0.460502, 0.417899, 0.376698, 0.347671, 0.316092, 0.28552,
2347  0.254911, 0.231723, 0.209545, 0.190147, 0.171694, 0.156227, 0.143823,
2348  0.134659, 0.130088, 0.13462, 0.153507, 0.206937, 0.398465, 0.911514,
2349  0.213432, 0.0, 0.0, 0.0, 154.535, 153.275, 151.924,
2350  150.476, 148.922, 147.257, 145.471, 143.556, 141.502, 139.301,
2351  136.94, 134.408, 131.694, 128.783, 125.662, 122.316, 118.727,
2352  114.88, 110.754, 106.33, 101.586, 96.4999, 91.046, 85.1978,
2353  78.9271, 72.2031, 64.9933, 57.2624, 48.9728, 40.0842, 30.5532,
2354  20.3334, 13.4945, 12.9689, 12.4053, 11.801, 11.153, 10.4582,
2355  9.71317, 8.91431, 8.05771, 7.20497, 6.82849, 6.42481, 5.99195,
2356  5.52781, 5.03013, 4.64302, 4.36319, 4.06315, 3.74142, 3.46975,
2357  3.24831, 3.01087, 2.78269, 2.58041, 2.36351, 2.21208, 2.06745,
2358  1.9246, 1.77824, 1.64012, 1.50266, 1.40123, 1.30128, 1.20225,
2359  1.10267, 1.01563, 0.936349, 0.853437, 0.798033, 0.731853, 0.673658,
2360  0.614166, 0.550722, 0.514621, 0.46322, 0.428734, 0.382318, 0.350402,
2361  0.317281, 0.287887, 0.259237, 0.235134, 0.211124, 0.191826, 0.173349,
2362  0.156246, 0.1431, 0.133646, 0.12906, 0.131244, 0.147014, 0.19493,
2363  0.354227, 0.881078, 0.258648, 0.0, 0.0, 0.0, 153.963,
2364  152.718, 151.383, 149.951, 148.416, 146.77, 145.005, 143.112,
2365  141.082, 138.906, 136.573, 134.071, 131.388, 128.512, 125.427,
2366  122.12, 118.573, 114.771, 110.693, 106.321, 101.633, 96.6058,
2367  91.2155, 85.4357, 79.2382, 72.5928, 65.4672, 57.8266, 49.6339,
2368  40.8491, 31.4294, 21.329, 13.7236, 13.1803, 12.5977, 11.9729,
2369  11.3031, 10.5848, 9.81468, 8.98885, 8.10335, 7.17435, 6.81842,
2370  6.43676, 6.02752, 5.58871, 5.11818, 4.72676, 4.45115, 4.15561,
2371  3.83871, 3.55013, 3.30808, 3.04854, 2.80575, 2.62655, 2.43439,
2372  2.26727, 2.10185, 1.95034, 1.80814, 1.67052, 1.53073, 1.42868,
2373  1.32186, 1.21246, 1.10884, 1.02524, 0.953534, 0.875975, 0.805133,
2374  0.728087, 0.675987, 0.620169, 0.564408, 0.512818, 0.472957, 0.426438,
2375  0.391652, 0.355229, 0.321272, 0.289948, 0.263313, 0.235263, 0.213,
2376  0.193281, 0.172833, 0.158736, 0.14382, 0.133924, 0.128571, 0.128807,
2377  0.14136, 0.182267, 0.318214, 0.822345, 0.31702, 0.0, 0.0,
2378  0.0, 154.174, 152.938, 151.613, 150.192, 148.669, 147.035,
2379  145.284, 143.406, 141.392, 139.232, 136.917, 134.434, 131.771,
2380  128.917, 125.856, 122.573, 119.054, 115.28, 111.234, 106.895,
2381  102.242, 97.2536, 91.9044, 86.1686, 80.0183, 73.4235, 66.3522,
2382  58.7698, 50.6395, 41.9216, 32.5737, 22.5502, 14.1667, 13.6046,
2383  13.002, 12.3558, 11.6629, 10.92, 10.1233, 9.26911, 8.35316,
2384  7.37101, 6.96424, 6.56164, 6.12993, 5.66703, 5.17067, 4.74383,
2385  4.4731, 4.1828, 3.87152, 3.58046, 3.34676, 3.09618, 2.84733,
2386  2.64846, 2.43521, 2.2539, 2.08411, 1.93288, 1.80401, 1.6744,
2387  1.54132, 1.4382, 1.33289, 1.22501, 1.13155, 1.04669, 0.964632,
2388  0.889495, 0.816831, 0.750151, 0.690451, 0.630719, 0.573442, 0.52781,
2389  0.480019, 0.433512, 0.394424, 0.356409, 0.325829, 0.293092, 0.266878,
2390  0.23989, 0.216643, 0.193985, 0.175418, 0.158404, 0.144518, 0.133339,
2391  0.127141, 0.125949, 0.136556, 0.172278, 0.285363, 0.732124, 0.380598,
2392  0.0, 0.0, 0.0, 157.371, 156.115, 154.768, 153.323,
2393  151.774, 150.113, 148.332, 146.422, 144.375, 142.179, 139.824,
2394  137.3, 134.593, 131.69, 128.578, 125.241, 121.662, 117.825,
2395  113.711, 109.299, 104.569, 99.4962, 94.0572, 88.2252, 81.9717,
2396  75.2663, 68.0763, 60.3667, 52.1, 43.2359, 33.7311, 23.5395,
2397  14.1749, 13.6228, 13.0307, 12.3959, 11.7152, 10.9853, 10.2027,
2398  9.36348, 8.46363, 7.49876, 7.05069, 6.6587, 6.23838, 5.78769,
2399  5.30442, 4.85845, 4.56411, 4.24849, 3.91006, 3.59503, 3.38387,
2400  3.15745, 2.92383, 2.72594, 2.51374, 2.32368, 2.14727, 1.98189,
2401  1.83994, 1.69794, 1.55535, 1.44485, 1.34149, 1.24474, 1.14996,
2402  1.05719, 0.967378, 0.890864, 0.816567, 0.741519, 0.688815, 0.636752,
2403  0.579163, 0.52797, 0.483167, 0.44227, 0.399687, 0.362133, 0.330346,
2404  0.297639, 0.26874, 0.243895, 0.218601, 0.196659, 0.177669, 0.159282,
2405  0.144552, 0.133657, 0.125786, 0.124101, 0.132186, 0.162363, 0.260639,
2406  0.65415, 0.465288, 0.0, 0.0, 0.0, 157.911, 156.658,
2407  155.314, 153.874, 152.328, 150.672, 148.895, 146.991, 144.948,
2408  142.758, 140.41, 137.892, 135.192, 132.297, 129.192, 125.864,
2409  122.295, 118.467, 114.364, 109.963, 105.245, 100.186, 94.761,
2410  88.944, 82.7067, 76.0187, 68.8473, 61.1577, 52.9123, 44.0711,
2411  34.591, 24.4257, 14.2433, 13.6965, 13.1102, 12.4815, 11.8074,
2412  11.0846, 10.3095, 9.47844, 8.58729, 7.63175, 7.12426, 6.71902,
2413  6.2845, 5.81857, 5.31898, 4.8419, 4.55836, 4.25432, 3.92831,
2414  3.60984, 3.39528, 3.1652, 2.923, 2.72169, 2.50583, 2.31416,
2415  2.14866, 1.989, 1.85501, 1.719, 1.58314, 1.46314, 1.34978,
2416  1.24836, 1.15688, 1.06936, 0.985767, 0.90329, 0.826557, 0.76514,
2417  0.693881, 0.641264, 0.588007, 0.535023, 0.488993, 0.447111, 0.405648,
2418  0.366988, 0.333192, 0.301022, 0.272204, 0.242962, 0.220792, 0.196791,
2419  0.17779, 0.15936, 0.146036, 0.13357, 0.125693, 0.121921, 0.128178,
2420  0.153344, 0.236195, 0.572136, 0.554279, 0.0, 0.0, 0.0,
2421  161.327, 160.053, 158.686, 157.22, 155.649, 153.963, 152.156,
2422  150.219, 148.141, 145.914, 143.525, 140.964, 138.217, 135.273,
2423  132.115, 128.729, 125.099, 121.206, 117.031, 112.555, 107.756,
2424  102.61, 97.0918, 91.175, 84.8305, 78.0275, 70.7329, 62.9112,
2425  54.5242, 45.531, 35.888, 25.5481, 14.4609, 13.7856, 13.1977,
2426  12.5674, 11.8915, 11.1667, 10.3896, 9.55636, 8.66288, 7.70482,
2427  7.15336, 6.75792, 6.3339, 5.87923, 5.39171, 4.90458, 4.6253,
2428  4.32584, 4.00473, 3.67905, 3.46631, 3.23819, 2.99359, 2.77631,
2429  2.54355, 2.34212, 2.19255, 2.03655, 1.88264, 1.73595, 1.61182,
2430  1.49703, 1.38351, 1.26704, 1.17397, 1.08269, 0.998302, 0.923695,
2431  0.844571, 0.769768, 0.70983, 0.652627, 0.597192, 0.541783, 0.497378,
2432  0.452262, 0.408913, 0.371074, 0.336364, 0.305843, 0.275831, 0.24793,
2433  0.223313, 0.200718, 0.178229, 0.161199, 0.146641, 0.133283, 0.1246,
2434  0.120127, 0.124237, 0.14671, 0.216137, 0.495518, 0.652568, 0.0,
2435  0.0, 0.0, 158.812, 157.568, 156.233, 154.803, 153.269,
2436  151.624, 149.86, 147.969, 145.941, 143.767, 141.435, 138.935,
2437  136.254, 133.38, 130.298, 126.993, 123.449, 119.649, 115.575,
2438  111.206, 106.521, 101.498, 96.1115, 90.336, 84.1432, 77.5028,
2439  70.3825, 62.7477, 54.5611, 45.7829, 36.3703, 26.2775, 15.4554,
2440  13.9527, 13.3709, 12.7471, 12.0783, 11.361, 10.592, 9.76733,
2441  8.88309, 7.93496, 7.33197, 6.92892, 6.49675, 6.03335, 5.53646,
2442  5.01809, 4.72511, 4.41096, 4.0741, 3.7198, 3.48854, 3.24057,
2443  2.97468, 2.77722, 2.57367, 2.37822, 2.21239, 2.04172, 1.8936,
2444  1.74652, 1.61916, 1.50477, 1.39734, 1.28975, 1.18658, 1.09346,
2445  1.00785, 0.925724, 0.854472, 0.783516, 0.716373, 0.652518, 0.59971,
2446  0.547567, 0.50293, 0.457537, 0.416698, 0.382277, 0.338763, 0.307656,
2447  0.277477, 0.250193, 0.225028, 0.20345, 0.180939, 0.162377, 0.145839,
2448  0.133592, 0.124205, 0.118675, 0.122335, 0.139803, 0.199778, 0.435628,
2449  0.738244, 0.0, 0.0, 0.0, 160.281, 159.032, 157.692,
2450  156.255, 154.714, 153.062, 151.29, 149.391, 147.354, 145.17,
2451  142.829, 140.318, 137.625, 134.738, 131.642, 128.323, 124.764,
2452  120.947, 116.855, 112.467, 107.762, 102.717, 97.3068, 91.5061,
2453  85.2861, 78.6167, 71.4653, 63.7971, 55.5747, 46.7581, 37.3044,
2454  27.1674, 16.2979, 13.9544, 13.377, 12.7579, 12.0941, 11.3823,
2455  10.619, 9.80059, 8.92303, 7.98205, 7.33536, 6.93678, 6.50939,
2456  6.05112, 5.55973, 5.03283, 4.75117, 4.45629, 4.14009, 3.80104,
2457  3.55904, 3.30366, 3.02982, 2.81867, 2.60855, 2.40517, 2.24746,
2458  2.08166, 1.93558, 1.78593, 1.65294, 1.52148, 1.39216, 1.29297,
2459  1.21016, 1.11742, 1.01553, 0.941257, 0.858019, 0.781942, 0.724505,
2460  0.657884, 0.611306, 0.550819, 0.508237, 0.457586, 0.419771, 0.381633,
2461  0.347176, 0.312657, 0.282125, 0.253736, 0.227109, 0.204772, 0.183623,
2462  0.162553, 0.147683, 0.133066, 0.123669, 0.117057, 0.119286, 0.134443,
2463  0.185492, 0.38118, 0.803286, 0.0, 0.0, 0.0, 164.032,
2464  162.756, 161.389, 159.922, 158.349, 156.663, 154.855, 152.916,
2465  150.837, 148.608, 146.217, 143.654, 140.906, 137.959, 134.799,
2466  131.411, 127.778, 123.882, 119.705, 115.226, 110.424, 105.274,
2467  99.7519, 93.8309, 87.482, 80.6743, 73.3747, 65.5475, 57.1546,
2468  48.1552, 38.5055, 28.1584, 17.0636, 13.8348, 13.2746, 12.6738,
2469  12.0297, 11.339, 10.5983, 9.8042, 8.95266, 8.03958, 7.3569,
2470  6.95369, 6.52134, 6.05775, 5.56066, 5.02765, 4.72675, 4.43555,
2471  4.12331, 3.7885, 3.55633, 3.32343, 3.07369, 2.86648, 2.66382,
2472  2.4594, 2.2949, 2.11909, 1.95936, 1.79347, 1.65249, 1.52432,
2473  1.41451, 1.32122, 1.21307, 1.1093, 1.02911, 0.947724, 0.87362,
2474  0.804392, 0.739892, 0.682689, 0.612912, 0.562616, 0.515577, 0.467792,
2475  0.424635, 0.386611, 0.348538, 0.315587, 0.284347, 0.2576, 0.229473,
2476  0.205326, 0.18342, 0.16439, 0.14809, 0.135148, 0.123216, 0.116827,
2477  0.117219, 0.128823, 0.173016, 0.339602, 0.837502, 0.0, 0.0,
2478  0.0, 161.52, 160.28, 158.95, 157.525, 155.996, 154.357,
2479  152.6, 150.715, 148.694, 146.528, 144.204, 141.713, 139.042,
2480  136.178, 133.106, 129.813, 126.282, 122.495, 118.435, 114.082,
2481  109.414, 104.408, 99.0412, 93.2862, 87.1153, 80.4984, 73.4034,
2482  65.7956, 57.638, 48.8909, 39.5116, 29.4546, 18.6707, 14.6533,
2483  14.0399, 13.3821, 12.6768, 11.9205, 11.1096, 10.24, 9.30764,
2484  8.30789, 7.52695, 7.13042, 6.70524, 6.24934, 5.76048, 5.2363,
2485  4.88942, 4.5656, 4.21837, 3.84605, 3.58784, 3.34425, 3.08305,
2486  2.86512, 2.6609, 2.44984, 2.28394, 2.10605, 1.96729, 1.82301,
2487  1.69127, 1.5604, 1.4372, 1.33129, 1.22919, 1.13363, 1.04725,
2488  0.957197, 0.880227, 0.813826, 0.735118, 0.680861, 0.628082, 0.575775,
2489  0.519934, 0.475642, 0.431924, 0.390823, 0.35415, 0.316707, 0.282768,
2490  0.258848, 0.233202, 0.208581, 0.186791, 0.167056, 0.149229, 0.135452,
2491  0.123591, 0.115597, 0.114107, 0.124318, 0.162872, 0.299855, 0.814877,
2492  0.0, 0.0, 0.0, 161.451, 160.217, 158.894, 157.475,
2493  155.954, 154.323, 152.573, 150.698, 148.687, 146.531, 144.218,
2494  141.739, 139.081, 136.23, 133.174, 129.896, 126.382, 122.614,
2495  118.573, 114.241, 109.595, 104.614, 99.2722, 93.5447, 87.4034,
2496  80.8183, 73.7573, 66.186, 58.0676, 49.3624, 40.0282, 30.0194,
2497  19.2873, 14.4736, 13.882, 13.2476, 12.5674, 11.838, 11.0559,
2498  10.2172, 9.31799, 8.35377, 7.54296, 7.14305, 6.71424, 6.25444,
2499  5.76141, 5.23275, 4.87469, 4.56431, 4.23151, 3.87465, 3.61806,
2500  3.38922, 3.14384, 2.92612, 2.72277, 2.50757, 2.34212, 2.16471,
2501  2.00652, 1.84198, 1.72166, 1.59417, 1.45807, 1.34783, 1.25068,
2502  1.15938, 1.05466, 0.96301, 0.892167, 0.816459, 0.748413, 0.684104,
2503  0.639753, 0.572503, 0.525952, 0.479757, 0.438402, 0.391708, 0.358945,
2504  0.322351, 0.291962, 0.260886, 0.236228, 0.210156, 0.188446, 0.168031,
2505  0.150465, 0.136554, 0.123651, 0.115192, 0.112683, 0.120532, 0.153243,
2506  0.270117, 0.770232, 0.0, 0.0, 0.0, 164.899, 163.643,
2507  162.297, 160.854, 159.306, 157.647, 155.868, 153.96, 151.914,
2508  149.72, 147.368, 144.845, 142.141, 139.241, 136.131, 132.797,
2509  129.222, 125.388, 121.278, 116.87, 112.144, 107.076, 101.642,
2510  95.8149, 89.5671, 82.8678, 75.6843, 67.9816, 59.7224, 50.8662,
2511  41.3701, 31.1876, 20.2694, 14.5441, 13.9691, 13.3526, 12.6916,
2512  11.9828, 11.2228, 10.4078, 9.53399, 8.597, 7.753, 7.337,
2513  6.89095, 6.41265, 5.8998, 5.34988, 4.95476, 4.6302, 4.28218,
2514  3.90901, 3.6371, 3.41325, 3.17322, 2.94748, 2.73405, 2.50519,
2515  2.36493, 2.21822, 2.04658, 1.85863, 1.72091, 1.59099, 1.48767,
2516  1.36596, 1.24722, 1.15152, 1.08239, 0.986259, 0.896602, 0.831468,
2517  0.756836, 0.703046, 0.634206, 0.58781, 0.535881, 0.485055, 0.443011,
2518  0.400256, 0.361761, 0.327846, 0.297944, 0.26563, 0.238151, 0.213248,
2519  0.188953, 0.171042, 0.152084, 0.136653, 0.123887, 0.114897, 0.111549,
2520  0.116903, 0.145223, 0.243889, 0.694366, 0.0, 0.0, 0.0,
2521  167.797, 166.525, 165.16, 163.697, 162.128, 160.446, 158.642,
2522  156.708, 154.634, 152.41, 150.025, 147.469, 144.727, 141.787,
2523  138.635, 135.255, 131.63, 127.744, 123.577, 119.109, 114.318,
2524  109.181, 103.672, 97.7652, 91.4316, 84.6403, 77.3582, 69.5499,
2525  61.1773, 52.1996, 42.5731, 32.251, 21.1829, 14.5294, 13.9595,
2526  13.3484, 12.6931, 11.9905, 11.237, 10.4292, 9.56292, 8.63408,
2527  7.75261, 7.35336, 6.92527, 6.46624, 5.97404, 5.44627, 5.03726,
2528  4.70938, 4.35781, 3.98083, 3.69329, 3.47002, 3.23063, 3.00705,
2529  2.80787, 2.59429, 2.4058, 2.20878, 2.04867, 1.89802, 1.75521,
2530  1.61152, 1.48706, 1.36763, 1.26156, 1.18171, 1.09989, 0.992258,
2531  0.911891, 0.835086, 0.766703, 0.696962, 0.639386, 0.593039, 0.531992,
2532  0.488725, 0.446418, 0.405791, 0.366622, 0.331012, 0.298607, 0.268113,
2533  0.239958, 0.215262, 0.192748, 0.171542, 0.153709, 0.136429, 0.12366,
2534  0.114268, 0.110489, 0.114518, 0.13809, 0.221958, 0.611778, 0.327948,
2535  0.0, 0.0, 167.017, 165.758, 164.408, 162.96, 161.408,
2536  159.743, 157.959, 156.045, 153.993, 151.792, 149.433, 146.903,
2537  144.19, 141.281, 138.162, 134.817, 131.231, 127.386, 123.262,
2538  118.841, 114.1, 109.017, 103.566, 97.7218, 91.4548, 84.7349,
2539  77.5294, 69.8032, 61.5186, 52.6353, 43.11, 32.8964, 21.9446,
2540  14.5119, 13.9406, 13.3282, 12.6714, 11.9672, 11.2121, 10.4024,
2541  9.53423, 8.6033, 7.67323, 7.28754, 6.87398, 6.43053, 5.95503,
2542  5.44517, 5.03643, 4.73016, 4.40174, 4.0496, 3.74631, 3.4945,
2543  3.2245, 2.97795, 2.7852, 2.57853, 2.40399, 2.22777, 2.06551,
2544  1.90701, 1.76127, 1.61803, 1.51868, 1.4035, 1.28381, 1.18917,
2545  1.09999, 1.00427, 0.92364, 0.84468, 0.771555, 0.716921, 0.64993,
2546  0.600836, 0.543097, 0.494891, 0.45203, 0.412641, 0.37203, 0.335154,
2547  0.302686, 0.272491, 0.243009, 0.21763, 0.19371, 0.173635, 0.154126,
2548  0.13891, 0.123917, 0.114006, 0.108778, 0.111316, 0.13144, 0.202907,
2549  0.536272, 0.39344, 0.0, 0.0};
2550 
2552 const std::initializer_list<double> BREMS_PIPI_PIPI_OPP_DIFF_SIG_THETA = {
2553  0.00136817, 0.0013701, 0.00137838, 0.00140245, 0.00141918, 0.0014512,
2554  0.00148345, 0.0015254, 0.00156741, 0.00161803, 0.00167088, 0.00172576,
2555  0.00177998, 0.00184321, 0.00190303, 0.0019588, 0.00201848, 0.00208193,
2556  0.0021438, 0.00219151, 0.00224613, 0.00230246, 0.00235687, 0.00240031,
2557  0.00244955, 0.00248877, 0.00253288, 0.00256654, 0.00260352, 0.00263242,
2558  0.00265803, 0.00269082, 0.00270885, 0.0027321, 0.00274501, 0.00276304,
2559  0.0027749, 0.00278003, 0.00278556, 0.00278616, 0.00278954, 0.00278571,
2560  0.002784, 0.00276767, 0.00276093, 0.00274638, 0.00272984, 0.00270641,
2561  0.00268533, 0.00266184, 0.00263397, 0.00259901, 0.00257128, 0.00253373,
2562  0.00248434, 0.00244491, 0.00239515, 0.00235296, 0.0023047, 0.00224777,
2563  0.0022001, 0.0021314, 0.00207915, 0.00201961, 0.0019588, 0.00190026,
2564  0.00184005, 0.00177733, 0.00172607, 0.00166942, 0.00161871, 0.00157142,
2565  0.00152151, 0.00148516, 0.0014521, 0.0014198, 0.00139887, 0.00138054,
2566  0.00137228, 0.0013688, 0.002465, 0.00247136, 0.0024873, 0.00251695,
2567  0.0025518, 0.00260556, 0.00266201, 0.00272499, 0.0027923, 0.00287156,
2568  0.00295082, 0.0030266, 0.00311902, 0.00320529, 0.00330048, 0.00337579,
2569  0.00346662, 0.00354636, 0.00363496, 0.00370388, 0.00377438, 0.00382864,
2570  0.00390955, 0.00396213, 0.00400991, 0.00406947, 0.00411321, 0.00415214,
2571  0.00417925, 0.00422375, 0.00424895, 0.00426687, 0.00429722, 0.00431499,
2572  0.00433589, 0.00434275, 0.00434607, 0.00436269, 0.00436563, 0.00436228,
2573  0.00436666, 0.00436029, 0.00436048, 0.00434542, 0.00434485, 0.00431339,
2574  0.0043177, 0.00429017, 0.00426455, 0.00424117, 0.00421929, 0.00418832,
2575  0.00414181, 0.00410642, 0.0040591, 0.00401681, 0.00396107, 0.00391073,
2576  0.0038487, 0.00377181, 0.00370649, 0.00364177, 0.00355465, 0.00346944,
2577  0.00338206, 0.00329435, 0.00321062, 0.00311862, 0.00303965, 0.00295016,
2578  0.00287288, 0.00279847, 0.00272705, 0.00265662, 0.00260248, 0.00255194,
2579  0.0025152, 0.00248697, 0.00247046, 0.00246155, 0.00382372, 0.00383539,
2580  0.00386406, 0.00389781, 0.00395916, 0.00403382, 0.00412243, 0.00420991,
2581  0.00430359, 0.00441207, 0.00452143, 0.0046531, 0.00475365, 0.00486594,
2582  0.00498388, 0.00508439, 0.00517476, 0.00528957, 0.00538444, 0.00547321,
2583  0.00552537, 0.00560891, 0.00565181, 0.00571274, 0.00575777, 0.00581954,
2584  0.00583682, 0.00587602, 0.00591075, 0.00592646, 0.00593527, 0.00595109,
2585  0.00596848, 0.00596658, 0.00599033, 0.00598248, 0.00598823, 0.00599262,
2586  0.00599491, 0.00601111, 0.00599639, 0.00600196, 0.00599132, 0.00598038,
2587  0.0059829, 0.00597329, 0.00597226, 0.00596532, 0.00594423, 0.00593001,
2588  0.00592715, 0.00588726, 0.00587941, 0.00583358, 0.00580574, 0.00578473,
2589  0.00572727, 0.00566191, 0.00560136, 0.00553368, 0.00544514, 0.00537994,
2590  0.00528824, 0.00519089, 0.00509236, 0.00498235, 0.00486842, 0.00475525,
2591  0.0046441, 0.00452585, 0.00440876, 0.00430077, 0.00420285, 0.00410444,
2592  0.00402947, 0.00395584, 0.00390257, 0.00386208, 0.00383276, 0.00383051,
2593  0.00544724, 0.00546783, 0.00550005, 0.0055606, 0.00563095, 0.0057437,
2594  0.00583464, 0.00596646, 0.00610949, 0.00624382, 0.0064, 0.00652904,
2595  0.00668263, 0.0068244, 0.00694855, 0.00707289, 0.00719167, 0.00727159,
2596  0.00736646, 0.0074418, 0.00752691, 0.00756905, 0.00761152, 0.0076431,
2597  0.00766975, 0.0076898, 0.00769728, 0.00773274, 0.00771081, 0.00770879,
2598  0.00770883, 0.00769804, 0.00769922, 0.00769015, 0.0076728, 0.00766544,
2599  0.0076792, 0.00765743, 0.00765003, 0.00765987, 0.0076744, 0.00766403,
2600  0.00767192, 0.00768454, 0.00767337, 0.00768058, 0.00769838, 0.00770918,
2601  0.00770239, 0.00770975, 0.00771017, 0.00770548, 0.00771775, 0.00770445,
2602  0.00768954, 0.007681, 0.00764504, 0.00762948, 0.00756817, 0.0075165,
2603  0.00744966, 0.00737374, 0.00726892, 0.0071673, 0.00707545, 0.00695732,
2604  0.00683088, 0.00668228, 0.00654109, 0.00639867, 0.0062532, 0.00610385,
2605  0.00596128, 0.00583262, 0.00573817, 0.00564182, 0.00554844, 0.00549811,
2606  0.00546024, 0.00546665, 0.00735403, 0.00737039, 0.00743265, 0.00749084,
2607  0.00759368, 0.00771814, 0.00787855, 0.00804735, 0.00823377, 0.00839648,
2608  0.00859216, 0.00876405, 0.00890315, 0.00908195, 0.00921426, 0.00931695,
2609  0.0094345, 0.00954245, 0.00961452, 0.0096857, 0.00973619, 0.00973585,
2610  0.00977512, 0.00975289, 0.0097424, 0.00971064, 0.00970645, 0.0096515,
2611  0.00963194, 0.00960517, 0.00955579, 0.00953421, 0.00952182, 0.00944613,
2612  0.00941498, 0.00940644, 0.00940358, 0.00937288, 0.00936331, 0.00935973,
2613  0.00934817, 0.00935256, 0.00938512, 0.00938749, 0.00941528, 0.00942154,
2614  0.00945357, 0.00949113, 0.00952235, 0.00958054, 0.0095895, 0.00964559,
2615  0.00966294, 0.00967289, 0.00973768, 0.00974526, 0.00976151, 0.00976452,
2616  0.00975445, 0.0097114, 0.00966618, 0.00960979, 0.00954222, 0.00943393,
2617  0.00933147, 0.00919943, 0.00907669, 0.00892279, 0.00873687, 0.00858511,
2618  0.00840174, 0.00822653, 0.00806329, 0.00788511, 0.00773785, 0.00759078,
2619  0.00748764, 0.00741618, 0.00736341, 0.00734995, 0.00953944, 0.00953909,
2620  0.00962706, 0.00973657, 0.00987742, 0.0100262, 0.0102475, 0.0104178,
2621  0.0106664, 0.0108592, 0.0111308, 0.0112634, 0.0114896, 0.0116515,
2622  0.011779, 0.011917, 0.0120027, 0.0120481, 0.0121049, 0.0121238,
2623  0.012138, 0.0121207, 0.0120827, 0.0120273, 0.0119496, 0.0119083,
2624  0.0118011, 0.0117705, 0.0116727, 0.0115566, 0.011493, 0.0114315,
2625  0.0113569, 0.0112879, 0.0112215, 0.0111546, 0.0111169, 0.0110909,
2626  0.0110958, 0.0110714, 0.0110993, 0.0110973, 0.0111047, 0.0111227,
2627  0.0112044, 0.0112489, 0.0112964, 0.0113578, 0.011399, 0.0115062,
2628  0.0116068, 0.0116646, 0.0117358, 0.0118426, 0.0118749, 0.011989,
2629  0.0120099, 0.0121081, 0.0120833, 0.0121343, 0.0121206, 0.0120861,
2630  0.0120606, 0.011984, 0.0118946, 0.0117999, 0.0116331, 0.0114678,
2631  0.0112916, 0.0110799, 0.0108729, 0.0106758, 0.01044, 0.010241,
2632  0.0100293, 0.00987659, 0.00973996, 0.00962729, 0.00956178, 0.00954752,
2633  0.0120291, 0.0120607, 0.0121733, 0.0122748, 0.0124862, 0.0126828,
2634  0.0129262, 0.0131905, 0.0134589, 0.013677, 0.0139688, 0.0142277,
2635  0.0143937, 0.0145449, 0.0147137, 0.0147968, 0.0148678, 0.0149232,
2636  0.0149131, 0.0148331, 0.0147844, 0.0147004, 0.0146046, 0.0145144,
2637  0.0143313, 0.0142228, 0.0140616, 0.0138985, 0.0137731, 0.0136507,
2638  0.0135195, 0.0133756, 0.0132764, 0.0131775, 0.0130754, 0.0130067,
2639  0.0129391, 0.0129176, 0.0128456, 0.0128149, 0.0128573, 0.0128129,
2640  0.0128746, 0.0129388, 0.0129849, 0.0130811, 0.0131912, 0.0132585,
2641  0.0134139, 0.0135152, 0.0136488, 0.0137724, 0.0139204, 0.0140301,
2642  0.0141796, 0.0143292, 0.0144641, 0.0145925, 0.0146902, 0.0147595,
2643  0.0148441, 0.0148666, 0.0148649, 0.0149049, 0.0148082, 0.0146976,
2644  0.014564, 0.0143849, 0.0141884, 0.0139828, 0.0137194, 0.0134531,
2645  0.0131751, 0.0129022, 0.0126672, 0.0124903, 0.0122373, 0.0121453,
2646  0.0120779, 0.0120305, 0.0148477, 0.0148893, 0.0149775, 0.0151512,
2647  0.0154095, 0.0156197, 0.015948, 0.0162869, 0.0165612, 0.0169305,
2648  0.0172444, 0.0174549, 0.0176751, 0.0178578, 0.0179858, 0.0180291,
2649  0.0179997, 0.0180245, 0.0179649, 0.0177668, 0.0176831, 0.0174829,
2650  0.0173505, 0.0171024, 0.0168882, 0.0166543, 0.0164669, 0.0162303,
2651  0.016084, 0.0158082, 0.0156526, 0.0154289, 0.0152703, 0.015105,
2652  0.0149778, 0.0148375, 0.014747, 0.0146972, 0.014645, 0.0146182,
2653  0.0146558, 0.0146889, 0.0147037, 0.0147672, 0.0148909, 0.0149144,
2654  0.0151248, 0.0152629, 0.0154382, 0.0155949, 0.0158229, 0.0160436,
2655  0.0161906, 0.0164923, 0.0166683, 0.0169016, 0.0171178, 0.0172837,
2656  0.0175009, 0.0176806, 0.0178128, 0.0179698, 0.0179979, 0.0180285,
2657  0.0180077, 0.0179768, 0.017815, 0.0176719, 0.0174478, 0.0172101,
2658  0.0169171, 0.016599, 0.0163088, 0.0160138, 0.0156832, 0.0153878,
2659  0.0151259, 0.0149685, 0.0148756, 0.0148203, 0.0179422, 0.0179827,
2660  0.0181099, 0.0183894, 0.0186938, 0.0190694, 0.0193632, 0.0198341,
2661  0.0201977, 0.0206131, 0.0209331, 0.0211165, 0.0214086, 0.0215224,
2662  0.0216392, 0.0215805, 0.0215891, 0.0214724, 0.0212543, 0.0211042,
2663  0.0208746, 0.0204986, 0.0202721, 0.0199815, 0.0196254, 0.0193247,
2664  0.0190143, 0.0186692, 0.0183375, 0.0180923, 0.0178063, 0.0175424,
2665  0.017282, 0.0171943, 0.0170338, 0.0167811, 0.0166672, 0.0165847,
2666  0.0165468, 0.0164867, 0.0164496, 0.0165487, 0.0165838, 0.0166834,
2667  0.0168165, 0.0169515, 0.0171158, 0.0172898, 0.0175765, 0.0177757,
2668  0.0180664, 0.0183467, 0.0186412, 0.0189402, 0.0193136, 0.0196754,
2669  0.0199216, 0.0202721, 0.0205527, 0.0209148, 0.0210713, 0.0212808,
2670  0.0214508, 0.0216013, 0.0216856, 0.0215909, 0.0214843, 0.0214211,
2671  0.0211327, 0.0209036, 0.0205854, 0.0201024, 0.0198025, 0.019369,
2672  0.0190602, 0.0186804, 0.0183993, 0.0181846, 0.018006, 0.0179451,
2673  0.0214405, 0.0215316, 0.0216544, 0.0219532, 0.0223605, 0.0228614,
2674  0.0232739, 0.0237556, 0.0242521, 0.0246345, 0.0250514, 0.0253037,
2675  0.0255594, 0.0256145, 0.0256573, 0.0255921, 0.0254229, 0.0252358,
2676  0.0250147, 0.0246337, 0.0243231, 0.0239069, 0.0233926, 0.023018,
2677  0.0225469, 0.0221305, 0.0217146, 0.0213338, 0.0208326, 0.0205386,
2678  0.0201605, 0.0198243, 0.0195067, 0.0192565, 0.0190464, 0.0188445,
2679  0.0186465, 0.0185553, 0.0184791, 0.0184141, 0.0184241, 0.0184918,
2680  0.0185709, 0.018652, 0.0188283, 0.019029, 0.0192159, 0.019505,
2681  0.0197766, 0.0201773, 0.0204801, 0.0208701, 0.0212119, 0.0216945,
2682  0.0221398, 0.0225793, 0.0230713, 0.0234257, 0.0238842, 0.0243264,
2683  0.0246537, 0.0249508, 0.0252215, 0.0253976, 0.0255624, 0.0257122,
2684  0.0257055, 0.0255238, 0.0252833, 0.0250205, 0.0246605, 0.0242761,
2685  0.0238232, 0.0233432, 0.0227149, 0.0223145, 0.0219954, 0.0216865,
2686  0.0214978, 0.021458, 0.0253366, 0.0253616, 0.0256065, 0.025947,
2687  0.0264566, 0.0270184, 0.0276524, 0.0282314, 0.0287457, 0.0292654,
2688  0.0296172, 0.0299573, 0.0300729, 0.0302499, 0.0301227, 0.029998,
2689  0.0297658, 0.0294764, 0.0289543, 0.0285475, 0.0279757, 0.0274446,
2690  0.0269532, 0.0262249, 0.0257175, 0.0250927, 0.0245753, 0.0240243,
2691  0.0235373, 0.0230042, 0.0225651, 0.0221341, 0.0218172, 0.0214231,
2692  0.0211733, 0.0209446, 0.0207526, 0.0206344, 0.0205467, 0.0205146,
2693  0.0204926, 0.0205686, 0.0206396, 0.0208145, 0.0209297, 0.0211997,
2694  0.021487, 0.0217604, 0.0222262, 0.0226243, 0.0230867, 0.0235721,
2695  0.0240237, 0.0245696, 0.0251428, 0.0257199, 0.026311, 0.02692,
2696  0.0274278, 0.0280664, 0.0285895, 0.0289858, 0.0294899, 0.0297231,
2697  0.0298414, 0.0301158, 0.0302493, 0.0301611, 0.029937, 0.0297359,
2698  0.0292718, 0.0287794, 0.0282414, 0.0276373, 0.0270213, 0.0264511,
2699  0.0259404, 0.0256189, 0.0253526, 0.0252829, 0.0296097, 0.0296543,
2700  0.0299436, 0.0304208, 0.0310187, 0.0316854, 0.0324704, 0.0331182,
2701  0.0338078, 0.0344293, 0.0348597, 0.0351711, 0.0353523, 0.0351911,
2702  0.0351179, 0.0348563, 0.0345998, 0.0340589, 0.0335338, 0.0327688,
2703  0.0322198, 0.0313436, 0.0305972, 0.0298566, 0.0290795, 0.0284071,
2704  0.0276334, 0.0269764, 0.0263327, 0.0257843, 0.0251936, 0.0247117,
2705  0.0242576, 0.0238865, 0.0235261, 0.0232344, 0.0229546, 0.0227169,
2706  0.0226215, 0.0226843, 0.0225715, 0.0226929, 0.0228231, 0.0229201,
2707  0.0232352, 0.0235132, 0.0238247, 0.0241895, 0.0246819, 0.0252722,
2708  0.0257614, 0.0262677, 0.0269079, 0.027644, 0.028379, 0.0291005,
2709  0.0298731, 0.0305514, 0.0313645, 0.0321525, 0.0328576, 0.0333689,
2710  0.0340319, 0.0344281, 0.0350192, 0.035193, 0.0353092, 0.0353814,
2711  0.03519, 0.0348773, 0.0344314, 0.0339426, 0.0331265, 0.0324274,
2712  0.0316233, 0.0310468, 0.0304665, 0.0299451, 0.0297081, 0.0295636,
2713  0.0342473, 0.0344116, 0.0348528, 0.035307, 0.0360997, 0.0370528,
2714  0.0379448, 0.0387321, 0.0394742, 0.040223, 0.0406787, 0.040856,
2715  0.0410657, 0.040938, 0.0406604, 0.0402429, 0.0397506, 0.0390277,
2716  0.0383505, 0.0375013, 0.0365192, 0.0356527, 0.0346295, 0.0337853,
2717  0.0326275, 0.031871, 0.0310352, 0.0301236, 0.0293727, 0.0286752,
2718  0.0278562, 0.0273094, 0.026868, 0.0263396, 0.0259238, 0.025691,
2719  0.0253393, 0.0250879, 0.0249741, 0.0248827, 0.0248859, 0.025059,
2720  0.0252053, 0.0252807, 0.0256637, 0.0259057, 0.0264629, 0.0268013,
2721  0.0273709, 0.0279976, 0.0285967, 0.0293734, 0.0300936, 0.0309382,
2722  0.0318854, 0.0328004, 0.0336259, 0.0347081, 0.0355868, 0.0365317,
2723  0.0374419, 0.0383173, 0.0391836, 0.0396759, 0.0402547, 0.0407092,
2724  0.0410188, 0.0410535, 0.0410547, 0.0407229, 0.0402063, 0.0395821,
2725  0.0386906, 0.0378713, 0.0369927, 0.0360603, 0.0353223, 0.034863,
2726  0.0344098, 0.034237, 0.039425, 0.0396076, 0.0401155, 0.0407306,
2727  0.04181, 0.0428491, 0.0439125, 0.0449813, 0.0459197, 0.0465184,
2728  0.0471567, 0.0474217, 0.0475311, 0.0473306, 0.046971, 0.0461508,
2729  0.0455434, 0.0446256, 0.0434298, 0.0425829, 0.0413147, 0.0400877,
2730  0.0390055, 0.0379787, 0.0367464, 0.0356221, 0.0345343, 0.033604,
2731  0.0326788, 0.0317458, 0.0310539, 0.0303569, 0.0296483, 0.029027,
2732  0.0285946, 0.0281992, 0.0278369, 0.0275864, 0.0274636, 0.0272415,
2733  0.0274338, 0.0273888, 0.0276162, 0.0278712, 0.0281876, 0.0285625,
2734  0.029152, 0.0296328, 0.0302948, 0.0310487, 0.0318287, 0.0325794,
2735  0.0335629, 0.0344369, 0.0356911, 0.0366985, 0.0378848, 0.0391234,
2736  0.0402711, 0.0413555, 0.0425322, 0.043577, 0.0445497, 0.0455563,
2737  0.0463109, 0.0469698, 0.0472905, 0.0474175, 0.0475037, 0.0469866,
2738  0.046653, 0.0458179, 0.0450309, 0.0438908, 0.0427919, 0.0417685,
2739  0.0407874, 0.0400804, 0.0396191, 0.0395378, 0.0449428, 0.0453504,
2740  0.0460517, 0.0469279, 0.0479548, 0.0493423, 0.0505934, 0.0519665,
2741  0.0528785, 0.0538066, 0.0543614, 0.0547294, 0.0546935, 0.0543199,
2742  0.0535462, 0.0529617, 0.0519935, 0.0506552, 0.0493576, 0.047901,
2743  0.046669, 0.0451606, 0.0439274, 0.0424209, 0.0409429, 0.0397365,
2744  0.0384729, 0.0372731, 0.0361397, 0.0351147, 0.0342495, 0.0334489,
2745  0.032648, 0.031997, 0.0314023, 0.0310168, 0.030608, 0.030339,
2746  0.0301126, 0.0301714, 0.0300738, 0.0301159, 0.0303241, 0.0306154,
2747  0.0310117, 0.0314493, 0.0320196, 0.0325098, 0.0334136, 0.0343169,
2748  0.0352159, 0.0361402, 0.0371277, 0.0384641, 0.0395802, 0.0410017,
2749  0.0423305, 0.0436361, 0.0452315, 0.0466415, 0.0479914, 0.04925,
2750  0.0507097, 0.0519813, 0.0528778, 0.053489, 0.0544819, 0.054644,
2751  0.0545586, 0.0544205, 0.0537906, 0.0530204, 0.0519657, 0.0505606,
2752  0.0492809, 0.0479936, 0.0468471, 0.0459716, 0.0452383, 0.0451403,
2753  0.0513865, 0.051629, 0.0522734, 0.0535767, 0.0550253, 0.0565501,
2754  0.0581634, 0.0595739, 0.0608657, 0.0619883, 0.0624661, 0.062778,
2755  0.0623555, 0.0618952, 0.0611742, 0.060166, 0.0587495, 0.0572552,
2756  0.0557139, 0.0541387, 0.0524984, 0.0507547, 0.0489236, 0.0471586,
2757  0.0456376, 0.0442824, 0.0425528, 0.0413147, 0.039984, 0.0388351,
2758  0.0378922, 0.0367542, 0.0359261, 0.0352394, 0.0345792, 0.0340423,
2759  0.0337038, 0.033439, 0.0330398, 0.032955, 0.0330081, 0.0330773,
2760  0.0332133, 0.0336357, 0.034173, 0.0345289, 0.0351821, 0.0359935,
2761  0.0367197, 0.0377735, 0.0389487, 0.0400114, 0.0413185, 0.0426317,
2762  0.044176, 0.045461, 0.0472333, 0.0489744, 0.0506178, 0.0523481,
2763  0.0540671, 0.0557642, 0.0573215, 0.0588807, 0.0600097, 0.0612039,
2764  0.0622045, 0.0625213, 0.0625865, 0.0624268, 0.0620176, 0.0609591,
2765  0.0596246, 0.0580803, 0.0564803, 0.0550013, 0.0536125, 0.0524602,
2766  0.0515478, 0.0513686, 0.0582698, 0.0585291, 0.0594469, 0.0609199,
2767  0.0627433, 0.0645022, 0.0665136, 0.0682501, 0.0695454, 0.0707598,
2768  0.0715522, 0.0716402, 0.0712944, 0.0706744, 0.0696289, 0.0679824,
2769  0.0662585, 0.0648229, 0.0628901, 0.0608695, 0.0588143, 0.0565242,
2770  0.0544625, 0.052554, 0.0508363, 0.0489858, 0.0473103, 0.0457317,
2771  0.0442004, 0.0429696, 0.0416796, 0.0404709, 0.0395123, 0.0386486,
2772  0.0380239, 0.0373714, 0.0369126, 0.0364056, 0.0363323, 0.0362098,
2773  0.0361762, 0.0362948, 0.0366607, 0.0369955, 0.0373497, 0.0380408,
2774  0.0386917, 0.039653, 0.04057, 0.0416137, 0.0429269, 0.0441684,
2775  0.0457039, 0.047321, 0.0490186, 0.0507383, 0.0528175, 0.0544556,
2776  0.0566382, 0.0588871, 0.0609363, 0.0628836, 0.0646837, 0.0666143,
2777  0.0684079, 0.0695408, 0.0703938, 0.0712239, 0.0715342, 0.0714366,
2778  0.070891, 0.0697814, 0.0681917, 0.0665571, 0.0647832, 0.0628092,
2779  0.0609389, 0.0593962, 0.0585321, 0.058171, 0.065844, 0.0660591,
2780  0.0673582, 0.0691221, 0.0712479, 0.073321, 0.0757904, 0.078024,
2781  0.0796766, 0.0809364, 0.0815084, 0.0816964, 0.0810512, 0.0802978,
2782  0.0787863, 0.07725, 0.075072, 0.0730202, 0.0706302, 0.0683462,
2783  0.0657697, 0.0633781, 0.0606842, 0.0585138, 0.0564094, 0.0545208,
2784  0.0524275, 0.0505957, 0.0487551, 0.0473458, 0.0459449, 0.0446656,
2785  0.0435095, 0.0425608, 0.0417856, 0.0412324, 0.0405578, 0.040138,
2786  0.0399565, 0.0398875, 0.0397533, 0.039772, 0.0402009, 0.0405555,
2787  0.0411435, 0.0418474, 0.0425879, 0.0435312, 0.0446992, 0.0460498,
2788  0.0472722, 0.0488844, 0.0505865, 0.0523478, 0.0541815, 0.0563995,
2789  0.058539, 0.0610651, 0.0630304, 0.0656545, 0.0683702, 0.0706618,
2790  0.0729996, 0.0750701, 0.0771985, 0.0787779, 0.0802913, 0.0813258,
2791  0.0818043, 0.0815503, 0.0809117, 0.0795374, 0.0779653, 0.0758121,
2792  0.0735319, 0.0711762, 0.0689501, 0.0673143, 0.0662364, 0.0658928,
2793  0.0741446, 0.0744707, 0.0759947, 0.0781716, 0.0808396, 0.0836956,
2794  0.0861828, 0.0887494, 0.0909392, 0.0922402, 0.0926932, 0.0927527,
2795  0.0917716, 0.090736, 0.0891597, 0.0868207, 0.0845962, 0.0817372,
2796  0.0792042, 0.0763219, 0.0732577, 0.0702275, 0.0678329, 0.0650383,
2797  0.0626537, 0.0603689, 0.0581554, 0.0557772, 0.0541189, 0.0522974,
2798  0.0505694, 0.0494205, 0.0478476, 0.0468589, 0.0459857, 0.0453306,
2799  0.044565, 0.0440925, 0.0438069, 0.0436205, 0.0437295, 0.0438923,
2800  0.0441539, 0.0445844, 0.045265, 0.046054, 0.0469641, 0.0480909,
2801  0.0492691, 0.0507097, 0.0521971, 0.0541174, 0.0560075, 0.0579857,
2802  0.0600242, 0.0625233, 0.0652248, 0.0678211, 0.070536, 0.0734209,
2803  0.0763661, 0.0787809, 0.0820049, 0.0846084, 0.0870522, 0.0891795,
2804  0.0907741, 0.0917266, 0.092652, 0.0927107, 0.0918128, 0.0906894,
2805  0.0885267, 0.0862922, 0.0833985, 0.0804964, 0.0781102, 0.0761023,
2806  0.0746323, 0.0740695, 0.0832224, 0.0837711, 0.0853966, 0.0882461,
2807  0.09129, 0.0949715, 0.0977463, 0.100683, 0.102796, 0.104398,
2808  0.105323, 0.105336, 0.103966, 0.102806, 0.10051, 0.0982397,
2809  0.0950058, 0.0918734, 0.0885263, 0.0852715, 0.0818447, 0.078946,
2810  0.0755437, 0.0725832, 0.0695271, 0.0667443, 0.0641305, 0.061941,
2811  0.0596799, 0.0576262, 0.0560598, 0.0543496, 0.0530623, 0.0516584,
2812  0.0506246, 0.0498857, 0.0492703, 0.0487353, 0.0482461, 0.0480104,
2813  0.0481786, 0.048426, 0.0488695, 0.0491215, 0.0497823, 0.0506315,
2814  0.0517091, 0.0528572, 0.0541982, 0.0558241, 0.057834, 0.0596696,
2815  0.061785, 0.0642689, 0.0665658, 0.0696956, 0.0725031, 0.0756939,
2816  0.0786448, 0.0820396, 0.0855502, 0.0883315, 0.0921071, 0.0951046,
2817  0.0977085, 0.100309, 0.102397, 0.104587, 0.10478, 0.105073,
2818  0.104816, 0.103132, 0.100606, 0.097911, 0.094321, 0.0910734,
2819  0.088238, 0.0854808, 0.0837162, 0.0833772, 0.0931473, 0.0938695,
2820  0.0960922, 0.098963, 0.103013, 0.107338, 0.111129, 0.114085,
2821  0.117175, 0.118667, 0.119185, 0.118736, 0.117919, 0.115854,
2822  0.113506, 0.10986, 0.106699, 0.103107, 0.0986953, 0.0947519,
2823  0.0915867, 0.0874941, 0.0837646, 0.0803298, 0.0769583, 0.0737675,
2824  0.0710874, 0.0683473, 0.0660431, 0.0637858, 0.0618918, 0.0600787,
2825  0.0586252, 0.0571652, 0.0558805, 0.0551534, 0.0543488, 0.0537048,
2826  0.053476, 0.0532404, 0.053113, 0.0534154, 0.0537189, 0.0541174,
2827  0.0551248, 0.0560704, 0.0571274, 0.0584662, 0.0601332, 0.0618922,
2828  0.0638967, 0.0661323, 0.0685685, 0.0711445, 0.0741996, 0.0770818,
2829  0.0803447, 0.0838157, 0.0872425, 0.0914307, 0.0954481, 0.099127,
2830  0.102891, 0.106613, 0.110003, 0.113259, 0.115673, 0.117186,
2831  0.118913, 0.119206, 0.118554, 0.116709, 0.114588, 0.11097,
2832  0.106996, 0.103167, 0.0991182, 0.0962256, 0.0941822, 0.0934589,
2833  0.104462, 0.105558, 0.107976, 0.111415, 0.115912, 0.120975,
2834  0.125776, 0.129716, 0.132737, 0.134069, 0.134032, 0.134613,
2835  0.132757, 0.130587, 0.127718, 0.123668, 0.119733, 0.115124,
2836  0.110514, 0.105976, 0.101862, 0.0973916, 0.0932716, 0.0892008,
2837  0.0858248, 0.0821154, 0.0787798, 0.0759284, 0.0732951, 0.0707068,
2838  0.0683713, 0.0665144, 0.0647321, 0.0630693, 0.0618239, 0.0608897,
2839  0.0600017, 0.0592566, 0.0593211, 0.0587049, 0.0588509, 0.0587308,
2840  0.0595643, 0.059938, 0.0609828, 0.0621408, 0.0632542, 0.0649136,
2841  0.0666158, 0.0687721, 0.0706805, 0.0733435, 0.0758342, 0.0788888,
2842  0.0821803, 0.0856192, 0.0896004, 0.0933502, 0.097376, 0.101695,
2843  0.105955, 0.110292, 0.115231, 0.119537, 0.12327, 0.127304,
2844  0.130483, 0.132705, 0.134116, 0.13528, 0.134316, 0.132646,
2845  0.129621, 0.125919, 0.121063, 0.116073, 0.111652, 0.107669,
2846  0.105371, 0.10455, 0.116534, 0.11727, 0.121047, 0.125274,
2847  0.130941, 0.136808, 0.141653, 0.145806, 0.150418, 0.152503,
2848  0.152432, 0.151828, 0.150024, 0.146896, 0.143242, 0.13832,
2849  0.133608, 0.128937, 0.123493, 0.118618, 0.113545, 0.10851,
2850  0.103683, 0.0992837, 0.0950699, 0.0913937, 0.0875761, 0.0839651,
2851  0.0811046, 0.0784511, 0.0757419, 0.0736162, 0.0716181, 0.0700281,
2852  0.0687988, 0.0674055, 0.06649, 0.0657727, 0.0654929, 0.0651066,
2853  0.0651459, 0.0654597, 0.0659447, 0.0668228, 0.0675763, 0.068753,
2854  0.0700208, 0.0720078, 0.0736333, 0.0756744, 0.0781907, 0.0807824,
2855  0.0842065, 0.0875078, 0.0907653, 0.0952887, 0.0995155, 0.103415,
2856  0.108548, 0.113143, 0.118554, 0.123407, 0.128673, 0.133723,
2857  0.138788, 0.142783, 0.147045, 0.149644, 0.151944, 0.152421,
2858  0.151831, 0.149799, 0.146486, 0.1421, 0.136354, 0.131006,
2859  0.125398, 0.12088, 0.117759, 0.117142, 0.130522, 0.131867,
2860  0.135357, 0.140486, 0.14775, 0.154254, 0.160798, 0.165708,
2861  0.169309, 0.172208, 0.17241, 0.171337, 0.167994, 0.16501,
2862  0.160551, 0.155955, 0.14971, 0.144061, 0.138377, 0.132507,
2863  0.126619, 0.121061, 0.115396, 0.110441, 0.105978, 0.101171,
2864  0.0972978, 0.0934001, 0.0902597, 0.08699, 0.0843914, 0.0815675,
2865  0.0799149, 0.0776439, 0.0762689, 0.0749156, 0.0737969, 0.0732173,
2866  0.0730705, 0.0723662, 0.0723251, 0.072849, 0.073321, 0.0741721,
2867  0.0749797, 0.0762422, 0.077825, 0.0799832, 0.081709, 0.0844643,
2868  0.0868535, 0.0901713, 0.0935283, 0.0972262, 0.101534, 0.10535,
2869  0.110696, 0.11546, 0.121032, 0.126482, 0.131948, 0.137873,
2870  0.14384, 0.149826, 0.155156, 0.160787, 0.16525, 0.168726,
2871  0.171071, 0.172453, 0.171794, 0.169012, 0.165552, 0.160286,
2872  0.154383, 0.147412, 0.140563, 0.135409, 0.131468, 0.1304,
2873  0.145833, 0.147139, 0.15134, 0.157341, 0.166265, 0.172945,
2874  0.181173, 0.186885, 0.191363, 0.194275, 0.194214, 0.192026,
2875  0.190665, 0.185825, 0.180524, 0.174313, 0.167949, 0.160885,
2876  0.153858, 0.147767, 0.141785, 0.134823, 0.128949, 0.123266,
2877  0.117452, 0.112624, 0.108257, 0.104222, 0.100214, 0.0969997,
2878  0.0938184, 0.0912908, 0.0889309, 0.0869355, 0.0851125, 0.0838019,
2879  0.0824998, 0.0816632, 0.0809204, 0.0810127, 0.0809044, 0.0805757,
2880  0.0817658, 0.0825318, 0.0835305, 0.0848452, 0.0868184, 0.0885499,
2881  0.0909297, 0.0934333, 0.0972746, 0.100265, 0.104178, 0.108262,
2882  0.112831, 0.117384, 0.123277, 0.128836, 0.134559, 0.140882,
2883  0.148168, 0.15449, 0.16108, 0.168449, 0.173979, 0.180433,
2884  0.186238, 0.189545, 0.192436, 0.194273, 0.19452, 0.19175,
2885  0.187667, 0.181047, 0.174226, 0.165511, 0.157971, 0.150767,
2886  0.146747, 0.145304, 0.16184, 0.164473, 0.16944, 0.177345,
2887  0.186857, 0.195724, 0.204288, 0.211892, 0.216559, 0.219474,
2888  0.219082, 0.21683, 0.214336, 0.208949, 0.201926, 0.19502,
2889  0.188051, 0.180299, 0.17261, 0.164568, 0.157252, 0.149919,
2890  0.143443, 0.137321, 0.131145, 0.125978, 0.120856, 0.116017,
2891  0.111478, 0.108076, 0.104806, 0.101795, 0.0994343, 0.0970668,
2892  0.0949299, 0.0935275, 0.0923043, 0.0912065, 0.0905861, 0.0902422,
2893  0.0903562, 0.0908976, 0.0910483, 0.092056, 0.0933578, 0.0948773,
2894  0.0971129, 0.0990389, 0.10187, 0.104781, 0.10791, 0.112056,
2895  0.116377, 0.120413, 0.125695, 0.131296, 0.137303, 0.143893,
2896  0.150917, 0.15813, 0.164928, 0.172285, 0.180457, 0.18782,
2897  0.195882, 0.203687, 0.208496, 0.213351, 0.217951, 0.220503,
2898  0.219335, 0.216621, 0.211848, 0.204511, 0.196023, 0.186332,
2899  0.177025, 0.169557, 0.164395, 0.162403, 0.1817, 0.183072,
2900  0.189371, 0.199146, 0.210114, 0.221145, 0.231406, 0.238563,
2901  0.244218, 0.247271, 0.247655, 0.244566, 0.240334, 0.234471,
2902  0.227282, 0.220223, 0.211256, 0.202138, 0.192846, 0.184748,
2903  0.175944, 0.167602, 0.160475, 0.15363, 0.146769, 0.141113,
2904  0.135095, 0.129611, 0.125308, 0.120759, 0.116728, 0.113723,
2905  0.110743, 0.108381, 0.1059, 0.104858, 0.103263, 0.102151,
2906  0.101474, 0.101331, 0.101355, 0.101215, 0.102326, 0.103052,
2907  0.104606, 0.106508, 0.108665, 0.111002, 0.113767, 0.117348,
2908  0.120946, 0.125046, 0.129787, 0.13541, 0.14042, 0.14645,
2909  0.153159, 0.160353, 0.168094, 0.175925, 0.183902, 0.192963,
2910  0.202062, 0.210487, 0.219131, 0.227914, 0.234802, 0.241768,
2911  0.245189, 0.247789, 0.24743, 0.244906, 0.239675, 0.231556,
2912  0.221093, 0.209974, 0.198986, 0.189285, 0.183197, 0.181415,
2913  0.202772, 0.204978, 0.2118, 0.22348, 0.236291, 0.250039,
2914  0.261699, 0.270342, 0.277353, 0.280412, 0.280694, 0.276762,
2915  0.270369, 0.264493, 0.255692, 0.246249, 0.235438, 0.225981,
2916  0.215875, 0.206117, 0.196447, 0.187662, 0.179348, 0.171423,
2917  0.164557, 0.157422, 0.151254, 0.145497, 0.14026, 0.135395,
2918  0.131165, 0.128114, 0.124827, 0.121413, 0.119287, 0.11759,
2919  0.115916, 0.114844, 0.113907, 0.113932, 0.113488, 0.114129,
2920  0.115035, 0.115736, 0.117621, 0.119589, 0.121862, 0.124301,
2921  0.128041, 0.131275, 0.135452, 0.140397, 0.145703, 0.15092,
2922  0.157133, 0.164462, 0.17146, 0.180064, 0.188183, 0.197494,
2923  0.206395, 0.217279, 0.226689, 0.236779, 0.246177, 0.256254,
2924  0.264175, 0.271348, 0.276535, 0.279235, 0.279749, 0.277298,
2925  0.271356, 0.261345, 0.250277, 0.236525, 0.22383, 0.212807,
2926  0.205277, 0.202227, 0.226646, 0.229194, 0.237733, 0.251176,
2927  0.266336, 0.281407, 0.295635, 0.306912, 0.31485, 0.316628,
2928  0.316669, 0.31256, 0.304984, 0.296787, 0.286721, 0.276757,
2929  0.265137, 0.253335, 0.242278, 0.23169, 0.22117, 0.211101,
2930  0.201736, 0.191585, 0.183799, 0.1764, 0.169154, 0.163273,
2931  0.15765, 0.152503, 0.147932, 0.144273, 0.140025, 0.13716,
2932  0.134088, 0.132363, 0.130508, 0.130043, 0.128646, 0.128571,
2933  0.128135, 0.128355, 0.129485, 0.130943, 0.13252, 0.134816,
2934  0.136706, 0.140633, 0.143818, 0.147173, 0.152264, 0.156917,
2935  0.163668, 0.16919, 0.176444, 0.18381, 0.19238, 0.201129,
2936  0.210025, 0.221471, 0.231185, 0.243169, 0.253722, 0.265695,
2937  0.277073, 0.287422, 0.297509, 0.305909, 0.311567, 0.315665,
2938  0.316747, 0.313509, 0.305773, 0.295475, 0.281738, 0.266605,
2939  0.251082, 0.23706, 0.228429, 0.226322, 0.251405, 0.256395,
2940  0.26662, 0.282288, 0.300273, 0.318163, 0.333948, 0.345832,
2941  0.354017, 0.357538, 0.357476, 0.353069, 0.345089, 0.335665,
2942  0.324347, 0.311923, 0.29791, 0.284857, 0.27293, 0.260364,
2943  0.247821, 0.236287, 0.226094, 0.216308, 0.206897, 0.198811,
2944  0.191132, 0.183669, 0.177594, 0.171367, 0.167079, 0.16217,
2945  0.158045, 0.15421, 0.152201, 0.149556, 0.147794, 0.146633,
2946  0.145702, 0.144819, 0.14439, 0.145457, 0.146567, 0.148053,
2947  0.149466, 0.151779, 0.155185, 0.158355, 0.162212, 0.167195,
2948  0.171992, 0.177246, 0.184024, 0.190732, 0.198829, 0.206565,
2949  0.216114, 0.226259, 0.237165, 0.24799, 0.26041, 0.273179,
2950  0.284888, 0.299013, 0.311446, 0.322993, 0.335401, 0.345739,
2951  0.351627, 0.357809, 0.357863, 0.354795, 0.346504, 0.335549,
2952  0.318271, 0.300567, 0.282104, 0.267093, 0.255922, 0.251849,
2953  0.282315, 0.285994, 0.299334, 0.318572, 0.338549, 0.359315,
2954  0.379812, 0.392805, 0.401437, 0.404648, 0.404884, 0.399233,
2955  0.389575, 0.37791, 0.366175, 0.351126, 0.335641, 0.321174,
2956  0.307015, 0.293647, 0.279948, 0.266074, 0.254609, 0.244414,
2957  0.233568, 0.224165, 0.215349, 0.208158, 0.200164, 0.194212,
2958  0.18812, 0.183597, 0.178917, 0.175202, 0.171879, 0.169834,
2959  0.168038, 0.165626, 0.165, 0.164599, 0.164857, 0.165006,
2960  0.165766, 0.167786, 0.169698, 0.172573, 0.175844, 0.178978,
2961  0.183595, 0.187682, 0.194583, 0.200484, 0.207227, 0.215002,
2962  0.224222, 0.233823, 0.243891, 0.25501, 0.265789, 0.279171,
2963  0.292616, 0.306701, 0.321226, 0.335678, 0.351322, 0.364879,
2964  0.378349, 0.391195, 0.39791, 0.402265, 0.40599, 0.402147,
2965  0.393094, 0.37849, 0.360879, 0.338683, 0.318011, 0.299549,
2966  0.28516, 0.282459, 0.315847, 0.321196, 0.335765, 0.358061,
2967  0.382921, 0.408938, 0.430226, 0.445024, 0.45572, 0.458843,
2968  0.456513, 0.451095, 0.44189, 0.428022, 0.41224, 0.397007,
2969  0.378717, 0.362945, 0.34633, 0.33009, 0.31462, 0.300881,
2970  0.286362, 0.2749, 0.264304, 0.253072, 0.243509, 0.235198,
2971  0.227037, 0.219147, 0.213557, 0.208331, 0.203508, 0.199514,
2972  0.19568, 0.192885, 0.190449, 0.188721, 0.187374, 0.187484,
2973  0.187037, 0.187594, 0.188596, 0.189662, 0.192533, 0.196024,
2974  0.199394, 0.204112, 0.208297, 0.21421, 0.219948, 0.227035,
2975  0.235045, 0.243993, 0.253306, 0.263409, 0.275002, 0.287372,
2976  0.300775, 0.314792, 0.328972, 0.345456, 0.360377, 0.378164,
2977  0.395691, 0.41259, 0.428335, 0.43839, 0.450252, 0.457024,
2978  0.460532, 0.455762, 0.445203, 0.42957, 0.407969, 0.382376,
2979  0.358384, 0.336579, 0.321409, 0.315502, 0.35418, 0.36041,
2980  0.378554, 0.404225, 0.435007, 0.46306, 0.487776, 0.506563,
2981  0.517987, 0.521663, 0.5196, 0.511756, 0.499505, 0.483181,
2982  0.465439, 0.447053, 0.428971, 0.409536, 0.390746, 0.373427,
2983  0.355325, 0.340485, 0.325334, 0.310572, 0.297156, 0.286325,
2984  0.276342, 0.266105, 0.258538, 0.249712, 0.242729, 0.236863,
2985  0.230838, 0.226525, 0.223741, 0.220291, 0.21771, 0.21536,
2986  0.213851, 0.21296, 0.214101, 0.214353, 0.215485, 0.216704,
2987  0.219606, 0.223833, 0.22714, 0.23139, 0.237195, 0.242695,
2988  0.249416, 0.258284, 0.267257, 0.276302, 0.286902, 0.299219,
2989  0.311283, 0.325078, 0.341205, 0.355563, 0.372311, 0.390013,
2990  0.409254, 0.428026, 0.447415, 0.465618, 0.48267, 0.498655,
2991  0.510338, 0.520065, 0.521872, 0.519268, 0.50617, 0.48725,
2992  0.464036, 0.433791, 0.403004, 0.377438, 0.361209, 0.354208,
2993  0.39698, 0.40551, 0.425818, 0.456219, 0.490712, 0.525228,
2994  0.554291, 0.578919, 0.589764, 0.594088, 0.588097, 0.579041,
2995  0.564998, 0.54814, 0.528175, 0.505865, 0.483696, 0.462507,
2996  0.441833, 0.423084, 0.402726, 0.385602, 0.368881, 0.353372,
2997  0.338466, 0.326343, 0.31458, 0.302392, 0.294249, 0.284564,
2998  0.27789, 0.270553, 0.264113, 0.258714, 0.255517, 0.251594,
2999  0.248473, 0.246488, 0.244288, 0.244724, 0.244769, 0.245552,
3000  0.246116, 0.248329, 0.25118, 0.254575, 0.259224, 0.26466,
3001  0.270139, 0.276736, 0.285392, 0.293478, 0.303438, 0.313179,
3002  0.32619, 0.340121, 0.353701, 0.368834, 0.385442, 0.40154,
3003  0.422131, 0.441429, 0.463121, 0.486251, 0.505575, 0.526825,
3004  0.546569, 0.564842, 0.581222, 0.590641, 0.592799, 0.588963,
3005  0.576586, 0.554375, 0.526517, 0.492687, 0.456646, 0.426546,
3006  0.405025, 0.397472, 0.447381, 0.456837, 0.480573, 0.51984,
3007  0.558714, 0.597462, 0.633175, 0.656793, 0.67028, 0.674787,
3008  0.670692, 0.65841, 0.642033, 0.621995, 0.60004, 0.575385,
3009  0.549456, 0.525091, 0.502106, 0.479616, 0.457142, 0.436941,
3010  0.419172, 0.402135, 0.384706, 0.371701, 0.358261, 0.347503,
3011  0.336039, 0.326329, 0.316127, 0.309454, 0.302703, 0.297297,
3012  0.292236, 0.288229, 0.284772, 0.283087, 0.281075, 0.28017,
3013  0.280321, 0.281647, 0.283508, 0.284378, 0.288172, 0.292451,
3014  0.296544, 0.302834, 0.309244, 0.317816, 0.325906, 0.335356,
3015  0.346294, 0.356199, 0.37104, 0.387146, 0.401575, 0.418585,
3016  0.43797, 0.458927, 0.479029, 0.503551, 0.526444, 0.551134,
3017  0.57453, 0.599933, 0.623132, 0.642936, 0.661437, 0.673338,
3018  0.672869, 0.67187, 0.659115, 0.632706, 0.597222, 0.560075,
3019  0.517838, 0.481069, 0.456349, 0.447827, 0.504401, 0.516069,
3020  0.544396, 0.588665, 0.637415, 0.683519, 0.723895, 0.75043,
3021  0.76919, 0.770857, 0.768103, 0.751334, 0.732619, 0.709402,
3022  0.679504, 0.654074, 0.625766, 0.598217, 0.569638, 0.54562,
3023  0.519779, 0.49872, 0.479227, 0.459373, 0.441661, 0.424632,
3024  0.409735, 0.395866, 0.384622, 0.37223, 0.363157, 0.355211,
3025  0.347316, 0.340997, 0.336, 0.331079, 0.328276, 0.325564,
3026  0.323925, 0.322427, 0.32289, 0.32442, 0.325046, 0.32792,
3027  0.331731, 0.335498, 0.342369, 0.347871, 0.355198, 0.362956,
3028  0.373796, 0.382063, 0.396751, 0.409285, 0.424525, 0.441478,
3029  0.458511, 0.477843, 0.498472, 0.52209, 0.544529, 0.572262,
3030  0.599986, 0.626045, 0.653476, 0.679763, 0.705661, 0.729904,
3031  0.751402, 0.764836, 0.771886, 0.766132, 0.752237, 0.720856,
3032  0.681871, 0.634902, 0.589131, 0.542775, 0.513888, 0.503863,
3033  0.569795, 0.579644, 0.614625, 0.667275, 0.724715, 0.779855,
3034  0.825799, 0.85625, 0.876241, 0.880745, 0.871288, 0.859113,
3035  0.833017, 0.809894, 0.774879, 0.745858, 0.713451, 0.680034,
3036  0.651428, 0.622872, 0.594438, 0.569764, 0.546291, 0.525155,
3037  0.502597, 0.485702, 0.468482, 0.454717, 0.440273, 0.428468,
3038  0.417162, 0.408103, 0.400156, 0.393544, 0.387161, 0.382353,
3039  0.378435, 0.374745, 0.373651, 0.372155, 0.373082, 0.372854,
3040  0.375066, 0.377213, 0.381197, 0.387604, 0.392854, 0.400812,
3041  0.40994, 0.418051, 0.429612, 0.439831, 0.453947, 0.47085,
3042  0.487482, 0.506441, 0.525727, 0.546493, 0.569947, 0.594599,
3043  0.620657, 0.649567, 0.680121, 0.714286, 0.746602, 0.77401,
3044  0.804831, 0.834969, 0.855826, 0.87456, 0.880089, 0.875891,
3045  0.859094, 0.823008, 0.780465, 0.726873, 0.668831, 0.614503,
3046  0.58118, 0.570717, 0.643634, 0.658253, 0.697997, 0.759223,
3047  0.825311, 0.894308, 0.946398, 0.98168, 1.00192, 1.00958,
3048  0.999944, 0.978904, 0.948148, 0.920549, 0.88964, 0.848669,
3049  0.815622, 0.779615, 0.746953, 0.709543, 0.6804, 0.653262,
3050  0.628348, 0.600299, 0.579098, 0.557925, 0.540228, 0.523264,
3051  0.507783, 0.493236, 0.483616, 0.47035, 0.462381, 0.454019,
3052  0.446305, 0.442206, 0.437013, 0.433696, 0.432376, 0.430558,
3053  0.430287, 0.43087, 0.433486, 0.438923, 0.441036, 0.447465,
3054  0.453851, 0.461462, 0.471189, 0.481744, 0.494853, 0.507196,
3055  0.524198, 0.540274, 0.556232, 0.57845, 0.60113, 0.623898,
3056  0.650868, 0.682337, 0.710767, 0.746316, 0.778822, 0.814043,
3057  0.849729, 0.887265, 0.919607, 0.954916, 0.980723, 0.997382,
3058  1.00831, 1.00491, 0.982679, 0.945544, 0.894304, 0.824845,
3059  0.760943, 0.700491, 0.658311, 0.643165, 0.725645, 0.742224,
3060  0.795832, 0.86889, 0.949959, 1.02412, 1.08311, 1.12807,
3061  1.15001, 1.15428, 1.14139, 1.12173, 1.08873, 1.04758,
3062  1.01514, 0.970797, 0.931062, 0.891208, 0.84939, 0.817021,
3063  0.783154, 0.749054, 0.716837, 0.691103, 0.668312, 0.64132,
3064  0.622826, 0.600459, 0.585695, 0.568651, 0.557055, 0.543309,
3065  0.532717, 0.524217, 0.517194, 0.512797, 0.505747, 0.501926,
3066  0.501206, 0.498414, 0.499574, 0.500851, 0.502521, 0.506525,
3067  0.509693, 0.516324, 0.526105, 0.534398, 0.541319, 0.555805,
3068  0.569684, 0.585409, 0.602377, 0.620413, 0.641896, 0.664259,
3069  0.691919, 0.717451, 0.747871, 0.784862, 0.817845, 0.850378,
3070  0.892329, 0.928072, 0.974038, 1.01332, 1.05313, 1.08808,
3071  1.12434, 1.14296, 1.16078, 1.15118, 1.12161, 1.0851,
3072  1.02089, 0.947679, 0.864989, 0.795615, 0.743353, 0.725039,
3073  0.822035, 0.843598, 0.902845, 0.988768, 1.07905, 1.17794,
3074  1.24177, 1.29295, 1.32345, 1.32418, 1.30898, 1.28583,
3075  1.24964, 1.20654, 1.15863, 1.11308, 1.06923, 1.02205,
3076  0.976685, 0.931637, 0.895272, 0.86208, 0.82361, 0.793102,
3077  0.765755, 0.741115, 0.713943, 0.694943, 0.672701, 0.657487,
3078  0.644202, 0.629618, 0.617309, 0.607227, 0.597523, 0.592223,
3079  0.585607, 0.581913, 0.578294, 0.579087, 0.579777, 0.577653,
3080  0.580738, 0.585386, 0.591849, 0.598804, 0.607178, 0.618232,
3081  0.62929, 0.642231, 0.657437, 0.674135, 0.694088, 0.718488,
3082  0.742625, 0.764756, 0.793113, 0.824525, 0.859178, 0.896431,
3083  0.935122, 0.975884, 1.02366, 1.06642, 1.11404, 1.15961,
3084  1.20509, 1.24789, 1.27899, 1.30964, 1.3249, 1.31959,
3085  1.28959, 1.24011, 1.17112, 1.08639, 0.989054, 0.905144,
3086  0.84242, 0.82125, 0.929216, 0.954634, 1.028, 1.13226,
3087  1.23915, 1.34274, 1.43064, 1.48541, 1.51403, 1.5274,
3088  1.50564, 1.47158, 1.43067, 1.3823, 1.33241, 1.27572,
3089  1.21884, 1.16643, 1.12116, 1.07562, 1.02829, 0.98719,
3090  0.951412, 0.914349, 0.884337, 0.850069, 0.827911, 0.800068,
3091  0.780767, 0.761236, 0.741691, 0.728067, 0.714008, 0.703911,
3092  0.695827, 0.685231, 0.678146, 0.674318, 0.669597, 0.668526,
3093  0.669929, 0.671039, 0.675946, 0.679603, 0.684663, 0.692765,
3094  0.702031, 0.715708, 0.727807, 0.743723, 0.760329, 0.78151,
3095  0.799733, 0.826176, 0.854461, 0.880863, 0.91367, 0.949784,
3096  0.987601, 1.02884, 1.07098, 1.11617, 1.16577, 1.22154,
3097  1.27246, 1.3356, 1.38105, 1.42834, 1.47333, 1.50366,
3098  1.51321, 1.52171, 1.48426, 1.42476, 1.34308, 1.24122,
3099  1.12679, 1.02377, 0.953013, 0.929975, 1.05064, 1.07976,
3100  1.16162, 1.28441, 1.41402, 1.54041, 1.63692, 1.70555,
3101  1.73748, 1.73536, 1.72402, 1.68299, 1.63369, 1.57981,
3102  1.51848, 1.45504, 1.39512, 1.33989, 1.28158, 1.22955,
3103  1.17884, 1.13244, 1.0923, 1.04797, 1.01499, 0.983418,
3104  0.952483, 0.924389, 0.900062, 0.878632, 0.861138, 0.839038,
3105  0.824388, 0.811454, 0.801757, 0.791725, 0.785064, 0.780183,
3106  0.776195, 0.775287, 0.774875, 0.777602, 0.780256, 0.786482,
3107  0.791519, 0.803161, 0.811702, 0.826626, 0.842763, 0.857962,
3108  0.880051, 0.895196, 0.922467, 0.951267, 0.982378, 1.01307,
3109  1.049, 1.09445, 1.13337, 1.1759, 1.22928, 1.28025,
3110  1.33702, 1.39571, 1.46144, 1.52754, 1.5802, 1.62835,
3111  1.68601, 1.72313, 1.74395, 1.73186, 1.70678, 1.635,
3112  1.54264, 1.42079, 1.28461, 1.16568, 1.07841, 1.048,
3113  1.17872, 1.21536, 1.31354, 1.46032, 1.61106, 1.762,
3114  1.86647, 1.94506, 1.97812, 1.98164, 1.95968, 1.91504,
3115  1.86123, 1.79836, 1.74173, 1.66497, 1.59121, 1.52408,
3116  1.46313, 1.40357, 1.35379, 1.29631, 1.24382, 1.20487,
3117  1.16473, 1.12333, 1.08964, 1.06015, 1.03546, 1.00965,
3118  0.98775, 0.968117, 0.951332, 0.933895, 0.923504, 0.913468,
3119  0.905617, 0.898262, 0.894254, 0.893785, 0.891475, 0.893564,
3120  0.900161, 0.907459, 0.912252, 0.921876, 0.937914, 0.948991,
3121  0.966252, 0.987864, 1.00976, 1.03493, 1.06189, 1.09141,
3122  1.12562, 1.1623, 1.20411, 1.24884, 1.29634, 1.34893,
3123  1.40028, 1.46068, 1.52627, 1.59201, 1.66372, 1.73529,
3124  1.80006, 1.86396, 1.92094, 1.96045, 1.98138, 1.98361,
3125  1.94354, 1.86981, 1.76273, 1.61731, 1.45746, 1.31492,
3126  1.22007, 1.17832, 1.3138, 1.35862, 1.47496, 1.64931,
3127  1.83162, 1.98519, 2.13044, 2.2069, 2.24933, 2.25427,
3128  2.22752, 2.1775, 2.11173, 2.04022, 1.9621, 1.88162,
3129  1.80148, 1.73495, 1.66672, 1.59195, 1.53478, 1.47372,
3130  1.41689, 1.37162, 1.32696, 1.28135, 1.2453, 1.21326,
3131  1.18061, 1.15566, 1.12816, 1.10666, 1.08545, 1.07171,
3132  1.05947, 1.0453, 1.03372, 1.0289, 1.02469, 1.0236,
3133  1.025, 1.02427, 1.02963, 1.03409, 1.04409, 1.05726,
3134  1.06972, 1.0868, 1.10737, 1.12906, 1.15435, 1.18221,
3135  1.21043, 1.24537, 1.28052, 1.32728, 1.36951, 1.41759,
3136  1.4744, 1.5309, 1.59382, 1.65941, 1.73378, 1.80996,
3137  1.88593, 1.96644, 2.03964, 2.11411, 2.17841, 2.22195,
3138  2.24516, 2.25153, 2.2148, 2.12556, 1.99198, 1.82843,
3139  1.64454, 1.48192, 1.36205, 1.31864, 1.45717, 1.50753,
3140  1.6446, 1.84757, 2.05165, 2.24897, 2.39758, 2.49339,
3141  2.5461, 2.54, 2.50805, 2.4458, 2.37922, 2.3006,
3142  2.20898, 2.11804, 2.03325, 1.95375, 1.87415, 1.79347,
3143  1.72739, 1.66394, 1.60241, 1.54388, 1.49522, 1.45131,
3144  1.40445, 1.36759, 1.33631, 1.30339, 1.27314, 1.25376,
3145  1.23282, 1.20958, 1.19983, 1.18559, 1.17677, 1.16675,
3146  1.1611, 1.16132, 1.16131, 1.16075, 1.16839, 1.17476,
3147  1.18446, 1.19929, 1.21162, 1.22956, 1.25233, 1.27286,
3148  1.30519, 1.33318, 1.37175, 1.40647, 1.45306, 1.49872,
3149  1.54743, 1.6057, 1.65872, 1.73189, 1.7967, 1.87273,
3150  1.95336, 2.03686, 2.12514, 2.20993, 2.30341, 2.38381,
3151  2.45876, 2.50755, 2.52436, 2.53905, 2.48198, 2.38824,
3152  2.24424, 2.05699, 1.84452, 1.64517, 1.50484, 1.45447,
3153  1.5888, 1.64284, 1.80964, 2.03067, 2.27983, 2.50276,
3154  2.66678, 2.78403, 2.82661, 2.82965, 2.79639, 2.73608,
3155  2.65253, 2.55765, 2.46291, 2.35822, 2.27024, 2.17609,
3156  2.08705, 1.99423, 1.92628, 1.85009, 1.78098, 1.72526,
3157  1.66947, 1.62263, 1.56992, 1.53119, 1.48533, 1.4552,
3158  1.42414, 1.3997, 1.3758, 1.35563, 1.33628, 1.32278,
3159  1.30952, 1.30474, 1.29816, 1.29347, 1.29391, 1.29613,
3160  1.30181, 1.3113, 1.32453, 1.33476, 1.35752, 1.37286,
3161  1.39992, 1.42899, 1.45521, 1.49505, 1.52913, 1.57055,
3162  1.61651, 1.66871, 1.72413, 1.78326, 1.85009, 1.92402,
3163  1.99563, 2.09006, 2.17454, 2.26418, 2.35991, 2.46004,
3164  2.55194, 2.65262, 2.7324, 2.80081, 2.8343, 2.83185,
3165  2.78127, 2.67231, 2.49261, 2.28116, 2.03793, 1.80895,
3166  1.6515, 1.58823, 1.70362, 1.7718, 1.96379, 2.20858,
3167  2.49768, 2.73752, 2.92941, 3.05576, 3.11186, 3.1084,
3168  3.06949, 2.9969, 2.90937, 2.79756, 2.69168, 2.58859,
3169  2.48764, 2.37492, 2.28223, 2.19184, 2.10585, 2.02134,
3170  1.95424, 1.8831, 1.83377, 1.77451, 1.72298, 1.67733,
3171  1.6327, 1.5936, 1.56363, 1.53298, 1.5087, 1.48473,
3172  1.46718, 1.44954, 1.44091, 1.43128, 1.42303, 1.41965,
3173  1.41889, 1.42134, 1.43224, 1.44018, 1.454, 1.46689,
3174  1.48833, 1.51048, 1.53685, 1.56423, 1.59699, 1.6381,
3175  1.68145, 1.71722, 1.76402, 1.82736, 1.88386, 1.95697,
3176  2.03226, 2.10516, 2.20063, 2.28604, 2.37605, 2.47701,
3177  2.58693, 2.68786, 2.79973, 2.90472, 2.99198, 3.07241,
3178  3.11325, 3.10754, 3.0613, 2.92362, 2.74667, 2.49598,
3179  2.22186, 1.97039, 1.77732, 1.70585, 1.78821, 1.86894,
3180  2.08052, 2.36942, 2.67587, 2.96019, 3.15629, 3.28736,
3181  3.35302, 3.35311, 3.29294, 3.22611, 3.12411, 3.01836,
3182  2.90178, 2.77953, 2.6617, 2.55567, 2.44591, 2.35309,
3183  2.25402, 2.17941, 2.09919, 2.02852, 1.96593, 1.90332,
3184  1.85323, 1.80088, 1.75997, 1.71985, 1.6766, 1.64759,
3185  1.62155, 1.59233, 1.57051, 1.55722, 1.54283, 1.53596,
3186  1.5254, 1.52371, 1.52333, 1.52733, 1.53239, 1.54458,
3187  1.55872, 1.57479, 1.59194, 1.61559, 1.65382, 1.68084,
3188  1.71347, 1.75383, 1.79695, 1.84482, 1.90182, 1.956,
3189  2.03013, 2.09761, 2.17936, 2.25666, 2.35347, 2.45339,
3190  2.55079, 2.66346, 2.78201, 2.89582, 3.00588, 3.13112,
3191  3.22992, 3.31107, 3.36098, 3.34657, 3.28929, 3.15748,
3192  2.95576, 2.67717, 2.35912, 2.07929, 1.86166, 1.79284,
3193  1.82701, 1.913, 2.15284, 2.46779, 2.8011, 3.1022,
3194  3.33088, 3.4763, 3.54041, 3.52409, 3.4881, 3.40145,
3195  3.29525, 3.16187, 3.0401, 2.92315, 2.79522, 2.67731,
3196  2.56547, 2.46506, 2.37025, 2.28224, 2.20121, 2.12444,
3197  2.05214, 1.99033, 1.93437, 1.87853, 1.83124, 1.79985,
3198  1.75578, 1.71457, 1.68994, 1.66895, 1.64485, 1.62467,
3199  1.6153, 1.60743, 1.59355, 1.58686, 1.59101, 1.59693,
3200  1.60643, 1.61182, 1.62992, 1.64559, 1.66377, 1.69594,
3201  1.72252, 1.75239, 1.79431, 1.83425, 1.88478, 1.92857,
3202  1.99222, 2.05144, 2.12191, 2.19889, 2.28265, 2.36962,
3203  2.46881, 2.57046, 2.68492, 2.79178, 2.91579, 3.04143,
3204  3.1634, 3.29463, 3.39914, 3.47816, 3.53452, 3.5364,
3205  3.47756, 3.33556, 3.10447, 2.8194, 2.46634, 2.15037,
3206  1.91828, 1.83183, 1.8214, 1.91653, 2.16745, 2.51502,
3207  2.88085, 3.19439, 3.43429, 3.57058, 3.64453, 3.63974,
3208  3.58597, 3.48943, 3.36113, 3.25567, 3.13063, 2.99382,
3209  2.8558, 2.74218, 2.6272, 2.52455, 2.4209, 2.3277,
3210  2.24703, 2.1683, 2.09714, 2.03364, 1.97184, 1.91512,
3211  1.87004, 1.8193, 1.78978, 1.7532, 1.72747, 1.69937,
3212  1.67672, 1.65475, 1.64237, 1.63106, 1.62454, 1.62,
3213  1.62324, 1.62299, 1.63416, 1.63803, 1.66103, 1.678,
3214  1.69757, 1.72455, 1.75312, 1.78644, 1.82745, 1.87037,
3215  1.91494, 1.9756, 2.02939, 2.09372, 2.16784, 2.24933,
3216  2.32786, 2.41842, 2.51898, 2.61804, 2.7444, 2.86046,
3217  2.99455, 3.12784, 3.25579, 3.38053, 3.49485, 3.60002,
3218  3.63806, 3.6407, 3.57314, 3.43603, 3.19826, 2.8764,
3219  2.51485, 2.16438, 1.91623, 1.81644, 1.76208, 1.86253,
3220  2.13016, 2.5029, 2.86987, 3.21384, 3.44298, 3.59957,
3221  3.66327, 3.66157, 3.59575, 3.47475, 3.37171, 3.259,
3222  3.11809, 2.9866, 2.85588, 2.73649, 2.62378, 2.51315,
3223  2.4171, 2.31753, 2.23849, 2.15413, 2.07988, 2.02354,
3224  1.95496, 1.91211, 1.85785, 1.81315, 1.775, 1.74033,
3225  1.71561, 1.68418, 1.65909, 1.64155, 1.62656, 1.61575,
3226  1.60474, 1.60944, 1.59939, 1.61074, 1.61351, 1.62772,
3227  1.64428, 1.6639, 1.68283, 1.70937, 1.73842, 1.7743,
3228  1.81369, 1.86438, 1.90198, 1.96192, 2.01745, 2.08759,
3229  2.15312, 2.2261, 2.32167, 2.42067, 2.51092, 2.6272,
3230  2.72972, 2.86113, 2.99534, 3.11712, 3.25698, 3.38689,
3231  3.50342, 3.59594, 3.66428, 3.66493, 3.60619, 3.45082,
3232  3.20568, 2.87783, 2.49549, 2.13816, 1.86092, 1.75665,
3233  1.66132, 1.76299, 2.03984, 2.41212, 2.81157, 3.13475,
3234  3.39122, 3.5515, 3.60654, 3.59355, 3.52895, 3.41487,
3235  3.30949, 3.1796, 3.05199, 2.92531, 2.79412, 2.66597,
3236  2.55027, 2.45963, 2.35703, 2.26573, 2.18364, 2.10755,
3237  2.03015, 1.96795, 1.91258, 1.85457, 1.80909, 1.76106,
3238  1.72617, 1.69044, 1.66138, 1.63268, 1.61247, 1.59573,
3239  1.58141, 1.56735, 1.559, 1.55477, 1.55427, 1.56032,
3240  1.56498, 1.57879, 1.59304, 1.61571, 1.63511, 1.65448,
3241  1.69426, 1.72495, 1.76759, 1.80265, 1.85616, 1.90962,
3242  1.96588, 2.02542, 2.10448, 2.17928, 2.26529, 2.35156,
3243  2.44818, 2.56793, 2.67564, 2.79806, 2.91926, 3.05041,
3244  3.18325, 3.31926, 3.43046, 3.51207, 3.58992, 3.61521,
3245  3.54629, 3.39544, 3.14589, 2.81539, 2.41143, 2.0376,
3246  1.76414, 1.65868, 1.52655, 1.62942, 1.9154, 2.29556,
3247  2.68931, 3.03009, 3.27954, 3.40925, 3.47589, 3.47494,
3248  3.40969, 3.29273, 3.19465, 3.05993, 2.92194, 2.8102,
3249  2.68508, 2.56934, 2.45626, 2.35071, 2.25585, 2.16396,
3250  2.08721, 2.01208, 1.95203, 1.88155, 1.82651, 1.77684,
3251  1.72581, 1.6876, 1.64541, 1.61244, 1.58605, 1.56565,
3252  1.54047, 1.51917, 1.50675, 1.5, 1.4884, 1.48316,
3253  1.49107, 1.49203, 1.49872, 1.50976, 1.51928, 1.53745,
3254  1.56061, 1.58956, 1.61647, 1.64955, 1.68633, 1.72258,
3255  1.77236, 1.82267, 1.88086, 1.9463, 2.01412, 2.08542,
3256  2.16661, 2.25449, 2.35743, 2.45356, 2.56211, 2.67737,
3257  2.79087, 2.93808, 3.05966, 3.18631, 3.30769, 3.40503,
3258  3.46766, 3.4835, 3.41872, 3.28021, 3.02421, 2.68871,
3259  2.29169, 1.91258, 1.63312, 1.52479, 1.37917, 1.4808,
3260  1.76925, 2.15502, 2.53263, 2.87151, 3.11954, 3.24246,
3261  3.30686, 3.28852, 3.23746, 3.13311, 3.02611, 2.90068,
3262  2.78388, 2.65384, 2.54502, 2.42307, 2.32395, 2.22232,
3263  2.14309, 2.04951, 1.98112, 1.89843, 1.8417, 1.77559,
3264  1.72401, 1.67781, 1.63019, 1.59718, 1.5611, 1.52109,
3265  1.49593, 1.47286, 1.45726, 1.43885, 1.41911, 1.40946,
3266  1.40931, 1.40373, 1.40011, 1.40964, 1.41924, 1.42836,
3267  1.43857, 1.45852, 1.47305, 1.50227, 1.52913, 1.56497,
3268  1.59502, 1.63299, 1.67892, 1.72525, 1.78115, 1.83825,
3269  1.90289, 1.97389, 2.05469, 2.13445, 2.22604, 2.32625,
3270  2.41975, 2.54795, 2.65615, 2.78305, 2.90701, 3.02502,
3271  3.13896, 3.23599, 3.3, 3.30908, 3.25043, 3.10151,
3272  2.8689, 2.54552, 2.15535, 1.76888, 1.48718, 1.38205,
3273  1.23142, 1.34014, 1.61308, 1.99384, 2.37287, 2.69569,
3274  2.93125, 3.05846, 3.11017, 3.10442, 3.04063, 2.9452,
3275  2.84852, 2.7332, 2.61391, 2.49319, 2.38467, 2.26944,
3276  2.17268, 2.09027, 2.00109, 1.92535, 1.85352, 1.78258,
3277  1.72199, 1.6713, 1.61784, 1.57343, 1.53433, 1.49047,
3278  1.45879, 1.43103, 1.40959, 1.3812, 1.36894, 1.34673,
3279  1.33996, 1.32856, 1.31989, 1.32166, 1.31798, 1.31885,
3280  1.32941, 1.33899, 1.35079, 1.36027, 1.38283, 1.40596,
3281  1.4348, 1.45979, 1.49097, 1.5329, 1.57619, 1.62184,
3282  1.66685, 1.72782, 1.78587, 1.85501, 1.91874, 2.00441,
3283  2.08496, 2.17636, 2.27699, 2.38797, 2.50204, 2.61348,
3284  2.72888, 2.84432, 2.94992, 3.04132, 3.10422, 3.10955,
3285  3.06445, 2.93907, 2.68862, 2.37377, 1.98693, 1.61481,
3286  1.33585, 1.23407, 1.09454, 1.19667, 1.47293, 1.83593,
3287  2.21051, 2.51592, 2.73785, 2.87311, 2.91514, 2.89361,
3288  2.84541, 2.75215, 2.65732, 2.54916, 2.42658, 2.32222,
3289  2.2234, 2.12348, 2.03512, 1.94488, 1.86414, 1.80095,
3290  1.72415, 1.66737, 1.61429, 1.55983, 1.50968, 1.47045,
3291  1.43109, 1.39426, 1.36618, 1.3404, 1.31123, 1.29053,
3292  1.27117, 1.2617, 1.24746, 1.23675, 1.23425, 1.22974,
3293  1.23302, 1.23614, 1.24131, 1.25014, 1.26107, 1.27443,
3294  1.28972, 1.31284, 1.33686, 1.36506, 1.3934, 1.42584,
3295  1.46474, 1.51172, 1.55459, 1.6104, 1.66302, 1.7252,
3296  1.80012, 1.86144, 1.93972, 2.02969, 2.12829, 2.22293,
3297  2.3265, 2.43987, 2.5505, 2.66435, 2.75791, 2.84495,
3298  2.89712, 2.90986, 2.86377, 2.74084, 2.51746, 2.20505,
3299  1.83511, 1.47086, 1.19795, 1.09547, 0.974366, 1.07099,
3300  1.34017, 1.69093, 2.04686, 2.34529, 2.55219, 2.67393,
3301  2.71776, 2.69756, 2.65, 2.56529, 2.46995, 2.36834,
3302  2.25685, 2.16154, 2.06118, 1.97247, 1.88818, 1.81249,
3303  1.73587, 1.67291, 1.60789, 1.54725, 1.4955, 1.45044,
3304  1.40856, 1.36594, 1.3304, 1.29627, 1.26963, 1.24198,
3305  1.22383, 1.20346, 1.19031, 1.17479, 1.16313, 1.15472,
3306  1.14956, 1.1487, 1.14254, 1.14963, 1.1573, 1.16513,
3307  1.17474, 1.18871, 1.20461, 1.2226, 1.24364, 1.26624,
3308  1.29987, 1.32835, 1.36902, 1.39885, 1.44944, 1.49832,
3309  1.55307, 1.61112, 1.67271, 1.73625, 1.81104, 1.88902,
3310  1.97384, 2.06474, 2.15374, 2.27269, 2.36903, 2.46834,
3311  2.55831, 2.643, 2.70169, 2.72293, 2.6766, 2.54953,
3312  2.33959, 2.04741, 1.68844, 1.33792, 1.07038, 0.970542,
3313  0.860261, 0.958843, 1.21345, 1.55987, 1.8938, 2.1769,
3314  2.3736, 2.49174, 2.52989, 2.50028, 2.4511, 2.37748,
3315  2.28709, 2.19584, 2.10345, 2.00385, 1.91629, 1.83134,
3316  1.75037, 1.67887, 1.60936, 1.54344, 1.48637, 1.43631,
3317  1.39021, 1.35078, 1.3041, 1.26786, 1.23338, 1.20945,
3318  1.18047, 1.15383, 1.13414, 1.11759, 1.1054, 1.09153,
3319  1.08019, 1.07274, 1.06748, 1.0677, 1.06642, 1.06728,
3320  1.07518, 1.0807, 1.09234, 1.10417, 1.11827, 1.13943,
3321  1.15386, 1.18167, 1.20552, 1.23368, 1.26838, 1.30385,
3322  1.34618, 1.39054, 1.43377, 1.48904, 1.55038, 1.61557,
3323  1.67798, 1.74883, 1.83559, 1.91089, 2.00647, 2.09513,
3324  2.19918, 2.29169, 2.37573, 2.45143, 2.50676, 2.52991,
3325  2.48294, 2.37453, 2.17475, 1.896, 1.55025, 1.21529,
3326  0.955843, 0.862953, 0.766166, 0.858377, 1.10276, 1.43131,
3327  1.7616, 2.02146, 2.21002, 2.31756, 2.34977, 2.33142,
3328  2.27897, 2.20992, 2.12877, 2.03458, 1.94572, 1.85614,
3329  1.7778, 1.69876, 1.62399, 1.55745, 1.48856, 1.43123,
3330  1.37982, 1.33052, 1.28616, 1.24364, 1.21134, 1.17636,
3331  1.14392, 1.12075, 1.09276, 1.0728, 1.05445, 1.04081,
3332  1.02419, 1.01241, 1.00134, 0.99514, 0.991967, 0.993344,
3333  0.991064, 0.99355, 0.996032, 1.00412, 1.00953, 1.02507,
3334  1.03968, 1.05458, 1.07362, 1.09437, 1.11635, 1.14892,
3335  1.17818, 1.20925, 1.24463, 1.29117, 1.33001, 1.37754,
3336  1.43384, 1.48803, 1.5563, 1.61764, 1.69216, 1.77292,
3337  1.85821, 1.94247, 2.03441, 2.12072, 2.20818, 2.2811,
3338  2.3323, 2.34588, 2.31835, 2.21332, 2.02308, 1.7589,
3339  1.42983, 1.10393, 0.857569, 0.762922, 0.681139, 0.770449,
3340  1.00905, 1.32232, 1.63203, 1.8853, 2.06141, 2.15533,
3341  2.1781, 2.15988, 2.115, 2.04519, 1.96247, 1.88366,
3342  1.79812, 1.72091, 1.64079, 1.5679, 1.5051, 1.44206,
3343  1.3819, 1.32919, 1.27772, 1.23396, 1.19319, 1.15517,
3344  1.12079, 1.0927, 1.06379, 1.04101, 1.01918, 0.99856,
3345  0.979041, 0.965055, 0.951713, 0.940137, 0.928888, 0.925144,
3346  0.92122, 0.919222, 0.917922, 0.923279, 0.926955, 0.932423,
3347  0.939793, 0.952807, 0.964002, 0.978911, 0.995658, 1.0171,
3348  1.04021, 1.06405, 1.08805, 1.12314, 1.15674, 1.19188,
3349  1.23638, 1.28102, 1.32814, 1.38268, 1.4403, 1.5047,
3350  1.57187, 1.64363, 1.72005, 1.80264, 1.88483, 1.96759,
3351  2.04675, 2.11881, 2.16915, 2.18171, 2.15464, 2.06217,
3352  1.88613, 1.62613, 1.32154, 1.00784, 0.770967, 0.682283,
3353  0.608798, 0.696197, 0.921457, 1.22373, 1.5204, 1.76187,
3354  1.91714, 2.01198, 2.03694, 2.01626, 1.96653, 1.89652,
3355  1.82849, 1.74692, 1.66598, 1.59366, 1.51983, 1.45698,
3356  1.38966, 1.33263, 1.28054, 1.22988, 1.18874, 1.14705,
3357  1.10784, 1.07309, 1.04244, 1.01451, 0.988616, 0.965299,
3358  0.944476, 0.924644, 0.909838, 0.896729, 0.88243, 0.873797,
3359  0.865184, 0.859769, 0.856082, 0.853558, 0.856406, 0.857077,
3360  0.858282, 0.867262, 0.874453, 0.882548, 0.897225, 0.909857,
3361  0.927146, 0.944018, 0.966016, 0.989455, 1.01646, 1.04509,
3362  1.07441, 1.10963, 1.14578, 1.18409, 1.23334, 1.28084,
3363  1.33273, 1.39409, 1.45486, 1.52548, 1.59301, 1.67042,
3364  1.74458, 1.82476, 1.90189, 1.96847, 2.01963, 2.03085,
3365  2.00687, 1.91902, 1.76074, 1.51708, 1.22293, 0.924606,
3366  0.695087, 0.608333, 0.546451, 0.630426, 0.847476, 1.13395,
3367  1.4161, 1.63842, 1.79084, 1.86925, 1.89071, 1.87093,
3368  1.82859, 1.76915, 1.69546, 1.62848, 1.55723, 1.48263,
3369  1.41646, 1.35296, 1.29258, 1.23932, 1.18793, 1.14593,
3370  1.09923, 1.06484, 1.02864, 0.99811, 0.967918, 0.941452,
3371  0.917975, 0.894716, 0.877877, 0.858938, 0.847171, 0.831762,
3372  0.821764, 0.812884, 0.806425, 0.801513, 0.796789, 0.794028,
3373  0.791664, 0.796053, 0.801494, 0.805441, 0.815198, 0.821242,
3374  0.831301, 0.846873, 0.860802, 0.876161, 0.896725, 0.917689,
3375  0.939172, 0.965939, 0.997508, 1.02905, 1.06139, 1.097,
3376  1.14486, 1.18782, 1.23663, 1.29496, 1.34839, 1.41558,
3377  1.4774, 1.55003, 1.62119, 1.70017, 1.76719, 1.82866,
3378  1.87823, 1.89536, 1.87274, 1.79356, 1.63896, 1.41723,
3379  1.13262, 0.848707, 0.628535, 0.545223, 0.491665, 0.571919,
3380  0.781907, 1.05988, 1.32194, 1.54073, 1.67715, 1.7471,
3381  1.77043, 1.74968, 1.70204, 1.65189, 1.57579, 1.51143,
3382  1.43986, 1.373, 1.3137, 1.25222, 1.20186, 1.14801,
3383  1.10378, 1.06382, 1.02394, 0.990762, 0.960738, 0.927412,
3384  0.901259, 0.874926, 0.85522, 0.834058, 0.816373, 0.799725,
3385  0.788961, 0.775695, 0.763238, 0.757179, 0.750342, 0.744867,
3386  0.739826, 0.739536, 0.740047, 0.743353, 0.744691, 0.749629,
3387  0.755711, 0.764035, 0.774254, 0.786315, 0.800103, 0.817776,
3388  0.835915, 0.854949, 0.875914, 0.899421, 0.927435, 0.956346,
3389  0.989027, 1.02429, 1.06246, 1.10576, 1.1503, 1.1977,
3390  1.25694, 1.31196, 1.37155, 1.44049, 1.50775, 1.57623,
3391  1.64518, 1.70821, 1.75176, 1.76736, 1.7532, 1.68541,
3392  1.53831, 1.32863, 1.05834, 0.78265, 0.573162, 0.49321,
3393  0.444975, 0.523058, 0.726568, 0.989878, 1.24471, 1.44051,
3394  1.57771, 1.63451, 1.65082, 1.62972, 1.59148, 1.53625,
3395  1.47006, 1.40661, 1.3437, 1.28172, 1.22212, 1.17187,
3396  1.11856, 1.06958, 1.0313, 0.989878, 0.953677, 0.920736,
3397  0.892245, 0.863048, 0.840902, 0.813749, 0.796156, 0.777934,
3398  0.760336, 0.744135, 0.735155, 0.725012, 0.713245, 0.704857,
3399  0.697249, 0.694165, 0.69312, 0.690386, 0.690005, 0.689898,
3400  0.69214, 0.698077, 0.705402, 0.713939, 0.722149, 0.734663,
3401  0.745416, 0.762128, 0.778353, 0.795984, 0.81463, 0.838595,
3402  0.86468, 0.891566, 0.920271, 0.953307, 0.990187, 1.02986,
3403  1.07274, 1.11987, 1.17011, 1.22529, 1.27671, 1.34395,
3404  1.40781, 1.476, 1.53647, 1.59312, 1.63483, 1.65401,
3405  1.64, 1.57778, 1.4422, 1.24137, 0.987159, 0.723289,
3406  0.523443, 0.445585, 0.405006, 0.47975, 0.675309, 0.928884,
3407  1.16635, 1.35355, 1.48759, 1.54161, 1.55459, 1.53076,
3408  1.48843, 1.43027, 1.3748, 1.31184, 1.25234, 1.19591,
3409  1.13844, 1.0877, 1.04126, 0.998335, 0.958584, 0.923538,
3410  0.88704, 0.858381, 0.829467, 0.806951, 0.781945, 0.763783,
3411  0.742011, 0.724029, 0.709882, 0.698351, 0.683736, 0.674745,
3412  0.664762, 0.658299, 0.653445, 0.64726, 0.644195, 0.644523,
3413  0.643608, 0.646075, 0.649297, 0.652652, 0.659211, 0.665426,
3414  0.673841, 0.684522, 0.696327, 0.711873, 0.724131, 0.741908,
3415  0.761862, 0.784305, 0.805529, 0.830348, 0.859929, 0.888378,
3416  0.923268, 0.95884, 1.00395, 1.04283, 1.09116, 1.14025,
3417  1.19367, 1.24887, 1.31036, 1.37646, 1.43219, 1.48707,
3418  1.52437, 1.55033, 1.54743, 1.47763, 1.35811, 1.17306,
3419  0.926749, 0.675161, 0.480482, 0.405921, 0.369601, 0.442977,
3420  0.632908, 0.876146, 1.10342, 1.28388, 1.39892, 1.45147,
3421  1.45672, 1.43389, 1.39452, 1.34288, 1.29064, 1.22984,
3422  1.16946, 1.11397, 1.06012, 1.01655, 0.972635, 0.933532,
3423  0.894311, 0.862751, 0.830714, 0.803073, 0.776736, 0.751032,
3424  0.732734, 0.709619, 0.694996, 0.678318, 0.663641, 0.648854,
3425  0.639894, 0.630773, 0.621061, 0.617069, 0.608669, 0.60566,
3426  0.603205, 0.602431, 0.603182, 0.60367, 0.604852, 0.610335,
3427  0.61517, 0.622556, 0.630197, 0.640081, 0.652057, 0.662616,
3428  0.677868, 0.697738, 0.711514, 0.732127, 0.753625, 0.777472,
3429  0.801853, 0.832147, 0.861744, 0.896786, 0.93306, 0.974115,
3430  1.01539, 1.0674, 1.11515, 1.17088, 1.22938, 1.29109,
3431  1.34131, 1.39838, 1.43941, 1.45674, 1.45158, 1.39144,
3432  1.28032, 1.10236, 0.872821, 0.631368, 0.442809, 0.370578,
3433  0.340417, 0.41073, 0.593195, 0.826596, 1.04561, 1.20939,
3434  1.31995, 1.36663, 1.3754, 1.34938, 1.30783, 1.26212,
3435  1.20189, 1.14936, 1.09214, 1.04545, 0.995792, 0.953154,
3436  0.911874, 0.871936, 0.839537, 0.804892, 0.777663, 0.751143,
3437  0.728471, 0.70173, 0.684552, 0.667008, 0.649278, 0.63486,
3438  0.623292, 0.610144, 0.598381, 0.59085, 0.580879, 0.577695,
3439  0.57259, 0.566584, 0.565459, 0.564197, 0.564224, 0.5661,
3440  0.567854, 0.572128, 0.576284, 0.581196, 0.592055, 0.598457,
3441  0.609016, 0.622533, 0.635547, 0.649323, 0.665647, 0.684098,
3442  0.704738, 0.725855, 0.749183, 0.775364, 0.809109, 0.838973,
3443  0.871235, 0.915912, 0.951866, 0.995571, 1.04641, 1.09489,
3444  1.14674, 1.20562, 1.25836, 1.30848, 1.35042, 1.3729,
3445  1.36115, 1.31609, 1.21551, 1.04424, 0.821818, 0.591994,
3446  0.411149, 0.340152, 0.313948, 0.382235, 0.558405, 0.782387,
3447  0.991372, 1.15308, 1.24748, 1.28935, 1.29305, 1.27035,
3448  1.23137, 1.17959, 1.12868, 1.07446, 1.02816, 0.98001,
3449  0.93415, 0.893107, 0.85697, 0.818687, 0.783234, 0.756268,
3450  0.730835, 0.706279, 0.680369, 0.661948, 0.642365, 0.62352,
3451  0.608836, 0.595735, 0.582504, 0.573093, 0.561406, 0.552636,
3452  0.547016, 0.540957, 0.535443, 0.53208, 0.530345, 0.528282,
3453  0.527378, 0.53041, 0.531027, 0.536389, 0.540694, 0.545704,
3454  0.553818, 0.562455, 0.57331, 0.582229, 0.596844, 0.610278,
3455  0.626575, 0.64161, 0.661331, 0.681631, 0.704536, 0.727761,
3456  0.753324, 0.788679, 0.818973, 0.857089, 0.893354, 0.934383,
3457  0.982282, 1.02836, 1.08153, 1.13209, 1.18701, 1.23318,
3458  1.26963, 1.29283, 1.29279, 1.24952, 1.14909, 0.99135,
3459  0.781304, 0.558523, 0.381793, 0.315059, 0.292315, 0.35806,
3460  0.528839, 0.748905, 0.945208, 1.09039, 1.18318, 1.22393,
3461  1.22446, 1.2036, 1.16249, 1.1167, 1.06343, 1.0162,
3462  0.967693, 0.920416, 0.876771, 0.838805, 0.801399, 0.767776,
3463  0.738671, 0.71061, 0.686176, 0.660728, 0.639413, 0.619124,
3464  0.602309, 0.588029, 0.57148, 0.559057, 0.547244, 0.536976,
3465  0.528145, 0.520168, 0.513709, 0.508252, 0.502567, 0.501072,
3466  0.497904, 0.498102, 0.496973, 0.497007, 0.49904, 0.504348,
3467  0.508633, 0.513598, 0.520191, 0.528511, 0.537269, 0.548129,
3468  0.561265, 0.573192, 0.586896, 0.604669, 0.61999, 0.64188,
3469  0.659752, 0.685467, 0.71098, 0.738026, 0.770898, 0.80281,
3470  0.840536, 0.878167, 0.919397, 0.967941, 1.0121, 1.06406,
3471  1.11519, 1.16139, 1.20065, 1.22958, 1.22624, 1.18541,
3472  1.09527, 0.944007, 0.741202, 0.529426, 0.357203, 0.292429,
3473  0.272683, 0.336639, 0.501724, 0.707728, 0.904355, 1.03913,
3474  1.12494, 1.16026, 1.16219, 1.1348, 1.09421, 1.04887,
3475  1.00509, 0.958264, 0.912908, 0.866713, 0.826756, 0.789171,
3476  0.751803, 0.723388, 0.692952, 0.668751, 0.645354, 0.622228,
3477  0.603052, 0.583815, 0.569577, 0.551969, 0.539462, 0.526909,
3478  0.516233, 0.506197, 0.498353, 0.489309, 0.483719, 0.47872,
3479  0.474011, 0.470167, 0.468372, 0.468032, 0.466747, 0.468879,
3480  0.470808, 0.473897, 0.478099, 0.482743, 0.488828, 0.495864,
3481  0.505835, 0.514384, 0.525598, 0.537906, 0.55028, 0.567736,
3482  0.584704, 0.602305, 0.622308, 0.646486, 0.668976, 0.693364,
3483  0.724269, 0.755303, 0.792248, 0.825189, 0.865084, 0.908401,
3484  0.955972, 1.00352, 1.04972, 1.09633, 1.13964, 1.16009,
3485  1.16302, 1.1263, 1.04078, 0.901625, 0.707987, 0.50119,
3486  0.335363, 0.27231, 0.254512, 0.317811, 0.47681, 0.678608,
3487  0.85845, 0.99382, 1.07288, 1.10691, 1.10102, 1.07362,
3488  1.04034, 0.997001, 0.946771, 0.902834, 0.859262, 0.817787,
3489  0.782601, 0.742926, 0.709859, 0.682062, 0.654093, 0.629568,
3490  0.606461, 0.586084, 0.568411, 0.55026, 0.533594, 0.519276,
3491  0.507265, 0.495539, 0.485919, 0.476074, 0.469908, 0.462518,
3492  0.454992, 0.449905, 0.446111, 0.4443, 0.442553, 0.439164,
3493  0.43985, 0.440605, 0.442916, 0.446435, 0.450473, 0.455121,
3494  0.462194, 0.468436, 0.47689, 0.486053, 0.495555, 0.507585,
3495  0.520141, 0.532949, 0.550714, 0.567518, 0.587369, 0.608032,
3496  0.629743, 0.654334, 0.68223, 0.708773, 0.744043, 0.776649,
3497  0.815477, 0.863826, 0.901842, 0.946558, 0.994629, 1.03973,
3498  1.07673, 1.1028, 1.10769, 1.07518, 0.996825, 0.859624,
3499  0.679046, 0.477469, 0.317334, 0.2548, 0.240322, 0.301759,
3500  0.457786, 0.650936, 0.826516, 0.951652, 1.02662, 1.05237,
3501  1.04755, 1.02352, 0.985988, 0.941048, 0.900119, 0.8531,
3502  0.81296, 0.770799, 0.736043, 0.70046, 0.672606, 0.644637,
3503  0.61843, 0.594423, 0.574191, 0.554539, 0.53513, 0.519745,
3504  0.504813, 0.48958, 0.478773, 0.468661, 0.457909, 0.449527,
3505  0.441097, 0.434466, 0.42978, 0.424167, 0.421216, 0.417086,
3506  0.416491, 0.415309, 0.414646, 0.417502, 0.419336, 0.420918,
3507  0.425692, 0.429223, 0.434813, 0.442649, 0.451247, 0.459026,
3508  0.46791, 0.477717, 0.491658, 0.504611, 0.519951, 0.536503,
3509  0.553578, 0.57384, 0.594171, 0.618361, 0.644481, 0.671531,
3510  0.702595, 0.732795, 0.772454, 0.810154, 0.854057, 0.89565,
3511  0.942851, 0.987113, 1.02273, 1.05148, 1.05154, 1.02449,
3512  0.952746, 0.825444, 0.651424, 0.459186, 0.301534, 0.240712,
3513  0.228361, 0.287451, 0.439003, 0.625949, 0.793758, 0.912892,
3514  0.981958, 1.00776, 1.00365, 0.977123, 0.935721, 0.893057,
3515  0.847491, 0.80869, 0.769164, 0.731914, 0.69863, 0.665651,
3516  0.635451, 0.608017, 0.583823, 0.561528, 0.542207, 0.523542,
3517  0.507894, 0.491215, 0.477183, 0.464928, 0.452566, 0.441783,
3518  0.433528, 0.424354, 0.417441, 0.411336, 0.406539, 0.402783,
3519  0.398966, 0.395916, 0.39274, 0.39298, 0.39245, 0.393472,
3520  0.396968, 0.398044, 0.401918, 0.407573, 0.411279, 0.418729,
3521  0.424495, 0.432144, 0.44173, 0.453104, 0.464661, 0.477008,
3522  0.492462, 0.506105, 0.524259, 0.539721, 0.561677, 0.584624,
3523  0.609233, 0.636496, 0.663454, 0.695614, 0.732101, 0.768313,
3524  0.808514, 0.85318, 0.894403, 0.936526, 0.976296, 1.00011,
3525  1.00526, 0.983453, 0.913114, 0.794421, 0.626857, 0.440464,
3526  0.287192, 0.228493, 0.216576, 0.274929, 0.422405, 0.60534,
3527  0.763917, 0.878518, 0.943401, 0.965093, 0.954931, 0.929151,
3528  0.890971, 0.850088, 0.807298, 0.76463, 0.730919, 0.690847,
3529  0.659493, 0.628981, 0.601756, 0.575941, 0.553406, 0.532019,
3530  0.512866, 0.496035, 0.47888, 0.464398, 0.451853, 0.439652,
3531  0.42965, 0.417952, 0.409925, 0.401594, 0.39473, 0.388988,
3532  0.384336, 0.380263, 0.376512, 0.374394, 0.371909, 0.371999,
3533  0.372252, 0.373447, 0.374645, 0.376699, 0.37939, 0.38543,
3534  0.389701, 0.396534, 0.403195, 0.409208, 0.418718, 0.428979,
3535  0.439816, 0.451304, 0.464982, 0.479452, 0.493782, 0.513789,
3536  0.532118, 0.55357, 0.576406, 0.603601, 0.630685, 0.66021,
3537  0.692811, 0.729756, 0.768138, 0.80562, 0.850381, 0.888664,
3538  0.926021, 0.952701, 0.964712, 0.93868, 0.87647, 0.767471,
3539  0.605325, 0.423568, 0.27499, 0.217689, 0.207467, 0.264308,
3540  0.408796, 0.582664, 0.741458, 0.845859, 0.90368, 0.921022,
3541  0.913651, 0.887494, 0.849611, 0.809281, 0.76956, 0.729405,
3542  0.69389, 0.657937, 0.626689, 0.596208, 0.57079, 0.54721,
3543  0.523459, 0.503932, 0.485908, 0.469367, 0.453928, 0.440933,
3544  0.427679, 0.416182, 0.406249, 0.397304, 0.389243, 0.38169,
3545  0.374865, 0.369429, 0.363412, 0.358739, 0.356476, 0.35365,
3546  0.352721, 0.351732, 0.351372, 0.352845, 0.355212, 0.358035,
3547  0.360034, 0.364699, 0.369928, 0.374303, 0.381453, 0.388061,
3548  0.396778, 0.406528, 0.416346, 0.428678, 0.43985, 0.454667,
3549  0.469756, 0.486846, 0.502887, 0.524561, 0.546215, 0.570462,
3550  0.595762, 0.625904, 0.658322, 0.688666, 0.728326, 0.767955,
3551  0.807961, 0.850259, 0.884592, 0.912824, 0.920717, 0.90731,
3552  0.847487, 0.740852, 0.586271, 0.408274, 0.264958, 0.207487,
3553  0.199418, 0.254301, 0.398844, 0.567781, 0.714843, 0.815808,
3554  0.871166, 0.885389, 0.873317, 0.843503, 0.81105, 0.772748,
3555  0.73273, 0.692373, 0.656805, 0.62442, 0.595144, 0.566077,
3556  0.54061, 0.519386, 0.498754, 0.479792, 0.460928, 0.445692,
3557  0.43042, 0.417277, 0.406577, 0.394002, 0.385461, 0.376565,
3558  0.369194, 0.361744, 0.356068, 0.35112, 0.346082, 0.340843,
3559  0.337673, 0.33562, 0.334511, 0.334785, 0.335032, 0.33496,
3560  0.336745, 0.338438, 0.341951, 0.345289, 0.350049, 0.355435,
3561  0.361704, 0.368297, 0.376579, 0.385274, 0.395329, 0.406303,
3562  0.417605, 0.430577, 0.444921, 0.462232, 0.477519, 0.497324,
3563  0.518406, 0.540347, 0.566447, 0.595079, 0.625511, 0.657834,
3564  0.693456, 0.731453, 0.770689, 0.811237, 0.848052, 0.872417,
3565  0.886258, 0.870915, 0.817517, 0.714187, 0.565646, 0.39674,
3566  0.255129, 0.19997, 0.193069, 0.247807, 0.385411, 0.550729,
3567  0.694477, 0.79282, 0.838721, 0.850686, 0.840502, 0.809109,
3568  0.773316, 0.738968, 0.698321, 0.661853, 0.625812, 0.594637,
3569  0.566721, 0.538436, 0.516755, 0.492611, 0.47321, 0.455018,
3570  0.438798, 0.423999, 0.410215, 0.397521, 0.385922, 0.375919,
3571  0.36529, 0.357359, 0.350084, 0.342681, 0.337698, 0.332292,
3572  0.32831, 0.324773, 0.321876, 0.319222, 0.318044, 0.318012,
3573  0.316605, 0.317756, 0.319864, 0.321383, 0.323705, 0.327876,
3574  0.332782, 0.33731, 0.343816, 0.349657, 0.35769, 0.366831,
3575  0.374954, 0.386181, 0.39783, 0.409086, 0.421894, 0.438973,
3576  0.454717, 0.474133, 0.493217, 0.516317, 0.539081, 0.565841,
3577  0.59482, 0.627196, 0.660835, 0.700285, 0.739445, 0.774814,
3578  0.808724, 0.841154, 0.852257, 0.841943, 0.789979, 0.696548,
3579  0.55296, 0.386216, 0.248051, 0.192595, 0.187545, 0.241022,
3580  0.376766, 0.537613, 0.677544, 0.766849, 0.811019, 0.821246,
3581  0.808899, 0.776515, 0.743742, 0.707232, 0.668156, 0.630567,
3582  0.598507, 0.565284, 0.539912, 0.513651, 0.489862, 0.468181,
3583  0.450896, 0.433513, 0.416106, 0.402551, 0.391207, 0.376876,
3584  0.366694, 0.357492, 0.348135, 0.340995, 0.332454, 0.327158,
3585  0.3212, 0.316024, 0.312607, 0.308901, 0.306412, 0.303384,
3586  0.303247, 0.301718, 0.301912, 0.301706, 0.304684, 0.306144,
3587  0.3083, 0.312277, 0.315589, 0.321404, 0.326041, 0.332505,
3588  0.339732, 0.348241, 0.356295, 0.366937, 0.377616, 0.390887,
3589  0.402818, 0.418295, 0.4328, 0.451266, 0.470907, 0.491082,
3590  0.512816, 0.541082, 0.567392, 0.597733, 0.629801, 0.666318,
3591  0.707937, 0.742899, 0.777636, 0.805696, 0.822691, 0.812064,
3592  0.767318, 0.673231, 0.537605, 0.376104, 0.240725, 0.186631,
3593  0.182828, 0.234848, 0.369009, 0.524, 0.655847, 0.743078,
3594  0.784488, 0.791977, 0.77446, 0.74505, 0.712334, 0.674261,
3595  0.639223, 0.601832, 0.570954, 0.541071, 0.514837, 0.490556,
3596  0.467658, 0.447895, 0.427103, 0.411713, 0.396595, 0.383939,
3597  0.371497, 0.360247, 0.349132, 0.340157, 0.331819, 0.324718,
3598  0.317258, 0.310139, 0.305373, 0.301023, 0.296717, 0.292636,
3599  0.2916, 0.289624, 0.288649, 0.286853, 0.285924, 0.288973,
3600  0.289899, 0.291084, 0.293924, 0.298078, 0.299772, 0.305878,
3601  0.310984, 0.317542, 0.32427, 0.330833, 0.340402, 0.349111,
3602  0.360049, 0.370323, 0.383813, 0.397155, 0.413673, 0.428929,
3603  0.446469, 0.467224, 0.489031, 0.513293, 0.541925, 0.572056,
3604  0.602476, 0.637842, 0.674257, 0.712193, 0.747052, 0.776961,
3605  0.789022, 0.785174, 0.745225, 0.655287, 0.524248, 0.367545,
3606  0.235837, 0.182744, 0.178391, 0.231372, 0.361092, 0.512786,
3607  0.642433, 0.724246, 0.760752, 0.764275, 0.748672, 0.719788,
3608  0.684365, 0.646788, 0.611612, 0.575587, 0.54644, 0.516538,
3609  0.490216, 0.468326, 0.446973, 0.427839, 0.409479, 0.394051,
3610  0.379618, 0.366527, 0.354889, 0.34317, 0.333056, 0.324862,
3611  0.316721, 0.308479, 0.301137, 0.297159, 0.291218, 0.286402,
3612  0.283254, 0.280346, 0.276734, 0.275795, 0.274795, 0.273716,
3613  0.273984, 0.274146, 0.275009, 0.277287, 0.279315, 0.283152,
3614  0.287382, 0.291893, 0.296517, 0.302785, 0.308627, 0.315682,
3615  0.324152, 0.333274, 0.343039, 0.353854, 0.367426, 0.379693,
3616  0.395016, 0.40906, 0.42737, 0.446702, 0.468082, 0.491135,
3617  0.516908, 0.546478, 0.577306, 0.61215, 0.64543, 0.682512,
3618  0.71808, 0.746953, 0.762128, 0.763398, 0.722431, 0.64079,
3619  0.513613, 0.361368, 0.230198, 0.178651, 0.175269, 0.227153,
3620  0.354198, 0.503909, 0.627185, 0.705524, 0.740844, 0.742407,
3621  0.72208, 0.693875, 0.656313, 0.622357, 0.586576, 0.552464,
3622  0.522715, 0.494151, 0.469508, 0.446851, 0.425768, 0.408568,
3623  0.390826, 0.376555, 0.362895, 0.349223, 0.338468, 0.328153,
3624  0.318261, 0.308803, 0.301947, 0.29438, 0.288326, 0.28307,
3625  0.277978, 0.274285, 0.269519, 0.266878, 0.264685, 0.262307,
3626  0.261698, 0.260849, 0.26084, 0.261845, 0.262223, 0.264235,
3627  0.265975, 0.26962, 0.273176, 0.277683, 0.282103, 0.288158,
3628  0.294066, 0.30132, 0.309276, 0.317934, 0.327239, 0.337809,
3629  0.350598, 0.362801, 0.374447, 0.391371, 0.4079, 0.426558,
3630  0.447045, 0.469805, 0.494632, 0.523497, 0.554992, 0.588299,
3631  0.62336, 0.657769, 0.692792, 0.719575, 0.743833, 0.739075,
3632  0.703701, 0.626163, 0.50336, 0.35582, 0.227016, 0.175832,
3633  0.172838, 0.223873, 0.350783, 0.495486, 0.614693, 0.687679,
3634  0.718633, 0.716547, 0.697757, 0.66816, 0.634109, 0.597546,
3635  0.562985, 0.530303, 0.501114, 0.474476, 0.451083, 0.426847,
3636  0.408068, 0.390223, 0.374159, 0.358813, 0.345698, 0.334446,
3637  0.323328, 0.315402, 0.304212, 0.295782, 0.288047, 0.282085,
3638  0.275852, 0.270406, 0.265957, 0.260731, 0.257001, 0.254607,
3639  0.251932, 0.250212, 0.250048, 0.248477, 0.249728, 0.249636,
3640  0.250639, 0.252171, 0.254795, 0.257755, 0.261477, 0.265781,
3641  0.27041, 0.274543, 0.282556, 0.28773, 0.295408, 0.303561,
3642  0.313367, 0.322698, 0.335044, 0.346922, 0.358881, 0.374881,
3643  0.391146, 0.408572, 0.428289, 0.449211, 0.47432, 0.501099,
3644  0.529983, 0.563469, 0.597946, 0.633434, 0.667691, 0.700956,
3645  0.71654, 0.718816, 0.685498, 0.614266, 0.494826, 0.350118,
3646  0.223503, 0.173135, 0.171248, 0.220887, 0.345556, 0.487166,
3647  0.601759, 0.674024, 0.698321, 0.696773, 0.676373, 0.646372,
3648  0.612688, 0.575282, 0.540945, 0.510109, 0.481462, 0.454828,
3649  0.430111, 0.410913, 0.391123, 0.373138, 0.357999, 0.343113,
3650  0.330851, 0.320167, 0.309338, 0.299289, 0.290456, 0.282493,
3651  0.275726, 0.268543, 0.263194, 0.258524, 0.253596, 0.249677,
3652  0.246141, 0.243876, 0.241806, 0.238822, 0.238425, 0.237686,
3653  0.238076, 0.238385, 0.239704, 0.24136, 0.242787, 0.246553,
3654  0.248436, 0.25306, 0.258392, 0.2636, 0.268936, 0.275529,
3655  0.283238, 0.290726, 0.298893, 0.30892, 0.32037, 0.331701,
3656  0.344968, 0.358039, 0.374684, 0.392358, 0.410375, 0.431118,
3657  0.454656, 0.479948, 0.510654, 0.538333, 0.575465, 0.609656,
3658  0.647135, 0.675039, 0.695713, 0.700456, 0.670936, 0.60129,
3659  0.487162, 0.345799, 0.221581, 0.171196, 0.17005, 0.219478,
3660  0.341988, 0.481286, 0.592486, 0.659885, 0.683271, 0.678066,
3661  0.654929, 0.624523, 0.590744, 0.552705, 0.521316, 0.491654,
3662  0.461752, 0.436655, 0.415485, 0.394501, 0.375159, 0.358467,
3663  0.343733, 0.329767, 0.317508, 0.3056, 0.294898, 0.28636,
3664  0.278511, 0.270194, 0.263682, 0.257575, 0.251823, 0.246335,
3665  0.242642, 0.238148, 0.234456, 0.232687, 0.230925, 0.228978,
3666  0.228288, 0.227566, 0.227493, 0.227204, 0.228999, 0.230563,
3667  0.233103, 0.235242, 0.238868, 0.242492, 0.247724, 0.25149,
3668  0.256893, 0.263327, 0.270666, 0.279209, 0.28725, 0.295962,
3669  0.306689, 0.317678, 0.329206, 0.343344, 0.35837, 0.375538,
3670  0.393171, 0.414116, 0.436887, 0.462412, 0.491048, 0.521644,
3671  0.554806, 0.589642, 0.624405, 0.655676, 0.679183, 0.68178,
3672  0.657136, 0.591174, 0.481732, 0.342647, 0.219896, 0.169686,
3673  0.169499, 0.218369, 0.339993, 0.47506, 0.582675, 0.644466,
3674  0.667416, 0.661819, 0.637282, 0.604028, 0.57119, 0.535004,
3675  0.501942, 0.473443, 0.445855, 0.420182, 0.398074, 0.377634,
3676  0.360135, 0.343776, 0.329483, 0.316349, 0.304494, 0.292956,
3677  0.283674, 0.274271, 0.266514, 0.259721, 0.252439, 0.245641,
3678  0.241382, 0.236103, 0.232182, 0.227935, 0.226114, 0.223237,
3679  0.220633, 0.218852, 0.217696, 0.217933, 0.217921, 0.218327,
3680  0.219238, 0.220753, 0.222049, 0.225207, 0.228452, 0.231532,
3681  0.236194, 0.241161, 0.247033, 0.252004, 0.259313, 0.266578,
3682  0.274123, 0.284153, 0.293558, 0.304509, 0.315621, 0.330351,
3683  0.342823, 0.359878, 0.378336, 0.396568, 0.419759, 0.444471,
3684  0.473595, 0.501621, 0.535592, 0.572136, 0.605996, 0.63859,
3685  0.661342, 0.666829, 0.646791, 0.583926, 0.475628, 0.339501,
3686  0.21927, 0.170181, 0.169536, 0.218487, 0.3387, 0.471464,
3687  0.57445, 0.633957, 0.65046, 0.646147, 0.619151, 0.585089,
3688  0.553242, 0.517697, 0.484489, 0.454317, 0.428422, 0.404617,
3689  0.382799, 0.362594, 0.346652, 0.33053, 0.316601, 0.30276,
3690  0.292257, 0.281837, 0.271782, 0.263372, 0.255621, 0.248971,
3691  0.242132, 0.236171, 0.230933, 0.22653, 0.221805, 0.218719,
3692  0.21607, 0.213749, 0.211601, 0.209738, 0.208539, 0.208458,
3693  0.208741, 0.208667, 0.209635, 0.211288, 0.213417, 0.215626,
3694  0.218825, 0.221634, 0.226565, 0.230884, 0.23629, 0.24247,
3695  0.248423, 0.256042, 0.26281, 0.272725, 0.281439, 0.291471,
3696  0.303555, 0.316692, 0.330345, 0.346639, 0.363419, 0.382959,
3697  0.404389, 0.427927, 0.454892, 0.484855, 0.51629, 0.550337,
3698  0.587869, 0.618464, 0.644321, 0.653518, 0.636477, 0.576216,
3699  0.471708, 0.337451, 0.218988, 0.169713, 0.169881, 0.218785,
3700  0.336471, 0.466255, 0.568147, 0.620802, 0.64002, 0.629015,
3701  0.60129, 0.569063, 0.534539, 0.50071, 0.466984, 0.439411,
3702  0.413071, 0.388866, 0.367942, 0.349393, 0.332727, 0.317958,
3703  0.303284, 0.291654, 0.280179, 0.270386, 0.261412, 0.252507,
3704  0.244779, 0.239174, 0.231816, 0.226475, 0.222183, 0.217173,
3705  0.212487, 0.209688, 0.207208, 0.204853, 0.202766, 0.200929,
3706  0.200355, 0.199679, 0.2002, 0.199886, 0.200611, 0.202767,
3707  0.204438, 0.206726, 0.209523, 0.213581, 0.218078, 0.221404,
3708  0.226419, 0.232705, 0.238117, 0.246539, 0.252963, 0.261776,
3709  0.270434, 0.280237, 0.291206, 0.304138, 0.31766, 0.332802,
3710  0.348604, 0.36723, 0.388073, 0.412568, 0.438538, 0.468688,
3711  0.502342, 0.53327, 0.56952, 0.60309, 0.627509, 0.638601,
3712  0.623147, 0.567572, 0.466648, 0.336433, 0.218664, 0.169713,
3713  0.170769, 0.219554, 0.336267, 0.465321, 0.561074, 0.611902,
3714  0.627048, 0.614262, 0.58428, 0.552705, 0.519257, 0.484299,
3715  0.453718, 0.424762, 0.3982, 0.374589, 0.354602, 0.337237,
3716  0.320627, 0.305288, 0.291635, 0.279793, 0.268318, 0.259314,
3717  0.250299, 0.243228, 0.236015, 0.228513, 0.222796, 0.21755,
3718  0.213056, 0.208111, 0.205165, 0.201281, 0.198718, 0.196249,
3719  0.194946, 0.19304, 0.191884, 0.192218, 0.191728, 0.19236,
3720  0.192393, 0.194216, 0.196393, 0.198977, 0.2011, 0.205201,
3721  0.208489, 0.213165, 0.21758, 0.22279, 0.228528, 0.235831,
3722  0.242741, 0.2511, 0.259971, 0.268901, 0.279705, 0.292507,
3723  0.305507, 0.320601, 0.336124, 0.354975, 0.375209, 0.398272,
3724  0.422916, 0.452223, 0.48537, 0.519203, 0.553059, 0.587697,
3725  0.61493, 0.624668, 0.612955, 0.560079, 0.464509, 0.336724,
3726  0.218936, 0.170466, 0.172055, 0.21943, 0.335527, 0.460928,
3727  0.554886, 0.603998, 0.615399, 0.601214, 0.574462, 0.539805,
3728  0.504675, 0.470781, 0.438264, 0.409563, 0.384366, 0.361692,
3729  0.342117, 0.324397, 0.308778, 0.293881, 0.281182, 0.269536,
3730  0.259914, 0.248629, 0.241788, 0.233345, 0.226858, 0.219493,
3731  0.214491, 0.208435, 0.204044, 0.200631, 0.196098, 0.193485,
3732  0.190623, 0.188609, 0.186594, 0.18516, 0.184341, 0.183946,
3733  0.184054, 0.184499, 0.185139, 0.186085, 0.18816, 0.189762,
3734  0.19322, 0.196121, 0.199986, 0.204333, 0.209665, 0.213728,
3735  0.220212, 0.227011, 0.233363, 0.24167, 0.250291, 0.259136,
3736  0.269774, 0.281874, 0.294457, 0.308934, 0.324632, 0.342066,
3737  0.363525, 0.386139, 0.411279, 0.437535, 0.470137, 0.504546,
3738  0.539485, 0.573173, 0.601184, 0.616657, 0.605641, 0.5563,
3739  0.462656, 0.335991, 0.219704, 0.171274, 0.172865, 0.221572,
3740  0.335194, 0.460238, 0.551706, 0.59641, 0.604547, 0.589451,
3741  0.558733, 0.524564, 0.48839, 0.45681, 0.423877, 0.396976,
3742  0.372288, 0.350156, 0.330137, 0.312469, 0.297474, 0.283833,
3743  0.272181, 0.260083, 0.250389, 0.241535, 0.23292, 0.224453,
3744  0.218462, 0.211709, 0.205646, 0.201022, 0.196045, 0.192272,
3745  0.188905, 0.185437, 0.183312, 0.181111, 0.179198, 0.177964,
3746  0.177166, 0.175866, 0.177157, 0.176564, 0.177912, 0.179333,
3747  0.181034, 0.182692, 0.185502, 0.188807, 0.19231, 0.196161,
3748  0.20069, 0.205552, 0.211256, 0.21839, 0.224704, 0.232318,
3749  0.241833, 0.250031, 0.260232, 0.271561, 0.284452, 0.296558,
3750  0.313187, 0.330271, 0.348672, 0.372414, 0.397457, 0.42475,
3751  0.457314, 0.490697, 0.523767, 0.560601, 0.588711, 0.606484,
3752  0.596295, 0.551805, 0.45938, 0.336333, 0.220998, 0.172961,
3753  0.174528, 0.223189, 0.337186, 0.459769, 0.547088, 0.591323,
3754  0.59509, 0.576719, 0.549014, 0.510967, 0.477416, 0.4434,
3755  0.413834, 0.384378, 0.360893, 0.338498, 0.319309, 0.301337,
3756  0.286391, 0.273526, 0.261179, 0.249894, 0.24049, 0.232526,
3757  0.223759, 0.215679, 0.209701, 0.203598, 0.19794, 0.193392,
3758  0.189269, 0.185103, 0.181632, 0.178486, 0.17607, 0.173986,
3759  0.171932, 0.171699, 0.170275, 0.169882, 0.169104, 0.169895,
3760  0.171122, 0.17246, 0.174062, 0.175756, 0.178413, 0.18088,
3761  0.185137, 0.189186, 0.193437, 0.197675, 0.203965, 0.208943,
3762  0.21651, 0.22318, 0.232271, 0.24124, 0.250488, 0.2605,
3763  0.273862, 0.286877, 0.301126, 0.318828, 0.338946, 0.359768,
3764  0.384549, 0.412205, 0.442672, 0.47549, 0.510773, 0.546135,
3765  0.578504, 0.59429, 0.590717, 0.546253, 0.460711, 0.337296,
3766  0.222753, 0.174768, 0.177686, 0.22497, 0.338713, 0.458366,
3767  0.545479, 0.584063, 0.589489, 0.566542, 0.535801, 0.500104,
3768  0.464211, 0.431122, 0.4009, 0.37336, 0.348904, 0.328129,
3769  0.308794, 0.291675, 0.277429, 0.264072, 0.251789, 0.241447,
3770  0.232637, 0.22363, 0.216131, 0.208961, 0.202342, 0.196352,
3771  0.191405, 0.185775, 0.182071, 0.177715, 0.174685, 0.172246,
3772  0.169897, 0.167199, 0.165923, 0.164208, 0.163658, 0.163299,
3773  0.163161, 0.163522, 0.16458, 0.165829, 0.166994, 0.169282,
3774  0.171833, 0.174234, 0.178048, 0.181257, 0.185743, 0.19089,
3775  0.196013, 0.201693, 0.208654, 0.215757, 0.223178, 0.231792,
3776  0.242531, 0.252854, 0.264795, 0.27785, 0.292212, 0.308653,
3777  0.327427, 0.349538, 0.37386, 0.39889, 0.429112, 0.464768,
3778  0.499433, 0.53616, 0.567198, 0.589451, 0.583098, 0.544739,
3779  0.458789, 0.339219, 0.224973, 0.177011, 0.179639, 0.227527,
3780  0.340512, 0.460578, 0.54088, 0.578858, 0.579472, 0.558268,
3781  0.525224, 0.486998, 0.452932, 0.420133, 0.388324, 0.363646,
3782  0.337949, 0.317005, 0.297772, 0.28266, 0.267952, 0.255251,
3783  0.243596, 0.233895, 0.223705, 0.21565, 0.208084, 0.200797,
3784  0.194545, 0.188728, 0.183301, 0.179098, 0.175226, 0.171726,
3785  0.168145, 0.165083, 0.162954, 0.160712, 0.159359, 0.157644,
3786  0.157679, 0.156836, 0.156954, 0.157127, 0.157879, 0.159152,
3787  0.160969, 0.162755, 0.165242, 0.167953, 0.171393, 0.175676,
3788  0.180333, 0.184131, 0.188702, 0.194532, 0.200836, 0.208085,
3789  0.215699, 0.22389, 0.233282, 0.243164, 0.25613, 0.268127,
3790  0.28203, 0.297528, 0.318022, 0.337348, 0.362981, 0.38919,
3791  0.418779, 0.45201, 0.489114, 0.52522, 0.559797, 0.578687,
3792  0.577894, 0.540377, 0.460231, 0.341084, 0.227421, 0.179019,
3793  0.181726, 0.230844, 0.343537, 0.460387, 0.541002, 0.573062,
3794  0.570081, 0.550001, 0.516313, 0.47914, 0.441463, 0.409403,
3795  0.379284, 0.352676, 0.328798, 0.306663, 0.289425, 0.273385,
3796  0.259103, 0.247694, 0.234633, 0.225512, 0.216717, 0.208314,
3797  0.200487, 0.193652, 0.187918, 0.18191, 0.1768, 0.172949,
3798  0.168826, 0.165045, 0.162306, 0.160035, 0.157391, 0.15501,
3799  0.15338, 0.15267, 0.15221, 0.151026, 0.15144, 0.151237,
3800  0.152398, 0.153517, 0.154998, 0.157106, 0.159538, 0.162209,
3801  0.165279, 0.16889, 0.172769, 0.176948, 0.18238, 0.187789,
3802  0.193804, 0.200189, 0.20865, 0.215783, 0.225236, 0.234615,
3803  0.247001, 0.258862, 0.273889, 0.289349, 0.307353, 0.327896,
3804  0.353274, 0.378842, 0.409269, 0.443041, 0.479433, 0.515871,
3805  0.549391, 0.571602, 0.572494, 0.54093, 0.459941, 0.342904,
3806  0.230071, 0.182449, 0.184956, 0.233063, 0.346401, 0.462248,
3807  0.538287, 0.570073, 0.565387, 0.540438, 0.506102, 0.468074,
3808  0.431248, 0.398982, 0.368431, 0.34221, 0.319663, 0.298408,
3809  0.280361, 0.264953, 0.250946, 0.239116, 0.227898, 0.217294,
3810  0.208828, 0.20083, 0.194088, 0.187482, 0.181165, 0.176034,
3811  0.170898, 0.166376, 0.162716, 0.160094, 0.156545, 0.153237,
3812  0.151355, 0.14971, 0.147842, 0.146642, 0.146053, 0.145715,
3813  0.145691, 0.146256, 0.146985, 0.147952, 0.149613, 0.151098,
3814  0.15328, 0.155998, 0.159784, 0.162537, 0.166664, 0.170871,
3815  0.175679, 0.181453, 0.187487, 0.194122, 0.200908, 0.208933,
3816  0.217371, 0.228136, 0.238803, 0.250208, 0.264922, 0.281027,
3817  0.298876, 0.318457, 0.342067, 0.368029, 0.398791, 0.432815,
3818  0.469946, 0.50765, 0.540713, 0.56618, 0.5709, 0.539077,
3819  0.460959, 0.345481, 0.233582, 0.185169, 0.188038, 0.23653,
3820  0.349942, 0.464063, 0.538478, 0.569268, 0.560979, 0.534429,
3821  0.497332, 0.460093, 0.422108, 0.390013, 0.35978, 0.332819,
3822  0.310213, 0.289022, 0.272765, 0.256492, 0.242374, 0.231261,
3823  0.220927, 0.210502, 0.202061, 0.194393, 0.187031, 0.180892,
3824  0.175189, 0.169504, 0.165389, 0.161048, 0.157442, 0.15365,
3825  0.150987, 0.14828, 0.14566, 0.144044, 0.14283, 0.141744,
3826  0.140452, 0.140484, 0.140262, 0.140794, 0.141483, 0.142355,
3827  0.144182, 0.145862, 0.148309, 0.150653, 0.153686, 0.156826,
3828  0.160806, 0.16468, 0.169215, 0.175442, 0.181078, 0.187691,
3829  0.194399, 0.20209, 0.211013, 0.220612, 0.231678, 0.243487,
3830  0.256163, 0.272474, 0.289678, 0.309183, 0.333634, 0.359788,
3831  0.388824, 0.423095, 0.459975, 0.498826, 0.534902, 0.561555,
3832  0.566271, 0.537224, 0.465885, 0.348708, 0.236042, 0.188296,
3833  0.191408, 0.241097, 0.353021, 0.466362, 0.536453, 0.564056,
3834  0.555233, 0.527565, 0.490762, 0.449836, 0.414913, 0.381248,
3835  0.350651, 0.323435, 0.301686, 0.281341, 0.264017, 0.249165,
3836  0.235498, 0.223959, 0.213577, 0.203899, 0.195663, 0.187806,
3837  0.18046, 0.175269, 0.169181, 0.16371, 0.159587, 0.155292,
3838  0.15185, 0.147991, 0.145725, 0.142991, 0.140704, 0.139085,
3839  0.13773, 0.136857, 0.136062, 0.135315, 0.135312, 0.135859,
3840  0.136782, 0.137327, 0.139192, 0.140502, 0.142986, 0.145448,
3841  0.148737, 0.1521, 0.154861, 0.158949, 0.164333, 0.168672,
3842  0.174885, 0.180998, 0.188307, 0.195417, 0.204224, 0.2138,
3843  0.223894, 0.235684, 0.249493, 0.262952, 0.281568, 0.30145,
3844  0.324798, 0.34988, 0.380872, 0.416049, 0.451365, 0.49165,
3845  0.526925, 0.553597, 0.564399, 0.538756, 0.466675, 0.351763,
3846  0.239657, 0.192168, 0.195726, 0.245352, 0.358154, 0.47,
3847  0.537445, 0.561532, 0.552018, 0.519665, 0.483269, 0.443594,
3848  0.405738, 0.372192, 0.342305, 0.315936, 0.293032, 0.273726,
3849  0.257222, 0.241387, 0.228734, 0.217498, 0.206534, 0.197452,
3850  0.18923, 0.181976, 0.175556, 0.169016, 0.164039, 0.158523,
3851  0.153745, 0.150751, 0.146634, 0.142911, 0.139972, 0.137716,
3852  0.136494, 0.133972, 0.132736, 0.131537, 0.130997, 0.130588,
3853  0.130839, 0.131412, 0.131738, 0.132336, 0.134647, 0.136026,
3854  0.137567, 0.140537, 0.143189, 0.146916, 0.150493, 0.154327,
3855  0.158307, 0.163218, 0.169017, 0.175285, 0.181819, 0.188929,
3856  0.197477, 0.206143, 0.215772, 0.228158, 0.242055, 0.256781,
3857  0.274871, 0.29293, 0.316006, 0.343336, 0.372493, 0.407233,
3858  0.444849, 0.483052, 0.519973, 0.552339, 0.56255, 0.539565,
3859  0.46889, 0.356814, 0.245162, 0.19599, 0.199863, 0.248467,
3860  0.361449, 0.473702, 0.541159, 0.560537, 0.547835, 0.515703,
3861  0.475456, 0.436449, 0.397003, 0.364337, 0.335141, 0.307212,
3862  0.285442, 0.265947, 0.248824, 0.234859, 0.222896, 0.20987,
3863  0.200935, 0.191683, 0.183319, 0.176226, 0.169472, 0.164315,
3864  0.158073, 0.153432, 0.148798, 0.144722, 0.141804, 0.138574,
3865  0.13589, 0.133514, 0.131503, 0.12925, 0.128344, 0.127393,
3866  0.126672, 0.126423, 0.126659, 0.127143, 0.127511, 0.12812,
3867  0.129848, 0.131466, 0.13321, 0.135916, 0.138351, 0.14161,
3868  0.145533, 0.149336, 0.153589, 0.158078, 0.163821, 0.16905,
3869  0.176174, 0.182728, 0.191814, 0.200291, 0.21012, 0.221573,
3870  0.235165, 0.249494, 0.266748, 0.28565, 0.30862, 0.334989,
3871  0.364484, 0.398436, 0.434596, 0.475795, 0.515707, 0.547614,
3872  0.560586, 0.541254, 0.473813, 0.360893, 0.248031, 0.199501,
3873  0.203747, 0.253139, 0.366245, 0.477473, 0.539786, 0.55643,
3874  0.543622, 0.511303, 0.470865, 0.430218, 0.390364, 0.356278,
3875  0.32855, 0.30101, 0.278808, 0.258687, 0.243299, 0.228978,
3876  0.215659, 0.203724, 0.194302, 0.185323, 0.177381, 0.170917,
3877  0.164324, 0.158352, 0.153094, 0.147786, 0.144438, 0.139959,
3878  0.136914, 0.134331, 0.131279, 0.128807, 0.126217, 0.125499,
3879  0.123876, 0.123459, 0.122167, 0.121771, 0.122062, 0.12257,
3880  0.123356, 0.12414, 0.12512, 0.126906, 0.128857, 0.131063,
3881  0.13373, 0.137117, 0.140699, 0.144355, 0.14867, 0.153094,
3882  0.159045, 0.164332, 0.170266, 0.177889, 0.186132, 0.194961,
3883  0.204743, 0.216004, 0.228457, 0.242748, 0.259934, 0.278992,
3884  0.30137, 0.326245, 0.356655, 0.39139, 0.429334, 0.469759,
3885  0.511139, 0.545292, 0.559393, 0.541445, 0.474186, 0.366179,
3886  0.253115, 0.202834, 0.20836, 0.257503, 0.370269, 0.480756,
3887  0.543443, 0.560243, 0.542234, 0.505846, 0.465355, 0.421944,
3888  0.384363, 0.350479, 0.320668, 0.293676, 0.272441, 0.252572,
3889  0.237309, 0.221083, 0.208933, 0.199279, 0.18876, 0.180022,
3890  0.172498, 0.165588, 0.160308, 0.153494, 0.148254, 0.143693,
3891  0.139541, 0.135611, 0.132776, 0.129758, 0.127121, 0.12474,
3892  0.122367, 0.121439, 0.120118, 0.119068, 0.118369, 0.117847,
3893  0.117593, 0.118243, 0.118763, 0.119822, 0.121063, 0.122849,
3894  0.124654, 0.126952, 0.129111, 0.132564, 0.135755, 0.139649,
3895  0.143943, 0.148904, 0.153329, 0.159038, 0.165285, 0.173095,
3896  0.180601, 0.188812, 0.199124, 0.210207, 0.222237, 0.236356,
3897  0.253007, 0.272933, 0.294072, 0.318697, 0.350074, 0.382479,
3898  0.421845, 0.464753, 0.506365, 0.542978, 0.559175, 0.542573,
3899  0.480806, 0.371326, 0.257482, 0.207683, 0.212365, 0.26231,
3900  0.376423, 0.484299, 0.546661, 0.55985, 0.538333, 0.50076,
3901  0.459765, 0.416762, 0.378451, 0.343394, 0.313038, 0.287457,
3902  0.266264, 0.246818, 0.230066, 0.216057, 0.203323, 0.193409,
3903  0.18312, 0.175016, 0.167549, 0.160219, 0.154529, 0.14865,
3904  0.144208, 0.139859, 0.135232, 0.131757, 0.128322, 0.125512,
3905  0.12254, 0.12005, 0.118922, 0.117451, 0.115784, 0.115209,
3906  0.114238, 0.114236, 0.114047, 0.1145, 0.114842, 0.115787,
3907  0.117567, 0.118662, 0.120882, 0.122757, 0.12501, 0.128198,
3908  0.131801, 0.135077, 0.139105, 0.143543, 0.148824, 0.154834,
3909  0.16087, 0.167394, 0.17484, 0.183572, 0.193463, 0.204354,
3910  0.216067, 0.229797, 0.245986, 0.265204, 0.287673, 0.313348,
3911  0.343019, 0.376799, 0.416754, 0.45866, 0.502918, 0.539191,
3912  0.55826, 0.546036, 0.486792, 0.376879, 0.262248, 0.212237,
3913  0.2174, 0.267244, 0.380887, 0.487902, 0.549166, 0.558077,
3914  0.536835, 0.497511, 0.454553, 0.410142, 0.371492, 0.335321,
3915  0.307635, 0.280806, 0.258831, 0.24041, 0.224273, 0.210601,
3916  0.198564, 0.188013, 0.17843, 0.169406, 0.162856, 0.155287,
3917  0.14982, 0.144058, 0.13931, 0.134917, 0.13121, 0.127674,
3918  0.124438, 0.121068, 0.119154, 0.116749, 0.115107, 0.113239,
3919  0.112028, 0.111231, 0.110788, 0.110947, 0.110438, 0.110934,
3920  0.111401, 0.112394, 0.113234, 0.115223, 0.117068, 0.118601,
3921  0.121745, 0.123767, 0.12769, 0.131004, 0.134534, 0.13969,
3922  0.143976, 0.149843, 0.155268, 0.162771, 0.170163, 0.177814,
3923  0.187396, 0.198841, 0.210732, 0.2246, 0.240904, 0.260646,
3924  0.281948, 0.307348, 0.337089, 0.3704, 0.411515, 0.454259,
3925  0.497332, 0.53627, 0.560598, 0.548762, 0.49006, 0.383165,
3926  0.267089, 0.217326, 0.221912, 0.274219, 0.387611, 0.493152,
3927  0.550466, 0.561356, 0.533273, 0.493358, 0.448452, 0.404389,
3928  0.366627, 0.331679, 0.300771, 0.275063, 0.254038, 0.236014,
3929  0.219378, 0.205763, 0.193589, 0.182977, 0.17318, 0.165377,
3930  0.157754, 0.151435, 0.145309, 0.140125, 0.135211, 0.13073,
3931  0.127196, 0.123723, 0.120573, 0.11765, 0.115242, 0.113106,
3932  0.11112, 0.109927, 0.108142, 0.107531, 0.107028, 0.107261,
3933  0.106634, 0.107492, 0.107602, 0.10891, 0.109656, 0.111306,
3934  0.113147, 0.115181, 0.117595, 0.120698, 0.123553, 0.12725,
3935  0.13091, 0.135622, 0.140424, 0.144658, 0.151554, 0.157994,
3936  0.164543, 0.173498, 0.182517, 0.192487, 0.205176, 0.219633,
3937  0.23569, 0.253368, 0.275637, 0.300532, 0.330746, 0.366067,
3938  0.405365, 0.449577, 0.494926, 0.533887, 0.559641, 0.552674,
3939  0.4943, 0.387474, 0.273392, 0.222345, 0.226902, 0.278232,
3940  0.393907, 0.502037, 0.556857, 0.561082, 0.535561, 0.491223,
3941  0.446557, 0.401426, 0.360418, 0.32606, 0.295802, 0.270312,
3942  0.247676, 0.229853, 0.21351, 0.20004, 0.188444, 0.178586,
3943  0.16902, 0.160836, 0.153897, 0.146785, 0.141509, 0.135845,
3944  0.13146, 0.126916, 0.123276, 0.119859, 0.117007, 0.114042,
3945  0.111802, 0.109429, 0.107899, 0.106527, 0.105529, 0.104854,
3946  0.103618, 0.103645, 0.103827, 0.103676, 0.104931, 0.105454,
3947  0.106767, 0.107955, 0.109663, 0.111785, 0.113898, 0.116814,
3948  0.120091, 0.123214, 0.126799, 0.131345, 0.136001, 0.141143,
3949  0.147217, 0.153524, 0.160182, 0.168865, 0.178566, 0.187908,
3950  0.2002, 0.213941, 0.230149, 0.247879, 0.26961, 0.296134,
3951  0.325278, 0.360957, 0.400846, 0.445638, 0.491471, 0.533441,
3952  0.561337, 0.556888, 0.502597, 0.395973, 0.27897, 0.226529,
3953  0.232036, 0.285255, 0.401517, 0.506041, 0.55993, 0.564117,
3954  0.532923, 0.489408, 0.441535, 0.395889, 0.355545, 0.320819,
3955  0.291087, 0.264531, 0.242166, 0.224714, 0.209227, 0.19513,
3956  0.183843, 0.173391, 0.164628, 0.156077, 0.149581, 0.142553,
3957  0.1373, 0.132127, 0.1278, 0.12283, 0.119741, 0.116319,
3958  0.113524, 0.1106, 0.108688, 0.10641, 0.104742, 0.103561,
3959  0.10219, 0.101415, 0.10065, 0.100388, 0.100381, 0.101005,
3960  0.101293, 0.102091, 0.103545, 0.104699, 0.106403, 0.108459,
3961  0.110201, 0.113117, 0.116067, 0.119576, 0.123734, 0.127762,
3962  0.13196, 0.137294, 0.143137, 0.148849, 0.156435, 0.164667,
3963  0.173283, 0.183526, 0.196382, 0.209233, 0.22508, 0.243022,
3964  0.264496, 0.291245, 0.319734, 0.356832, 0.39542, 0.442214,
3965  0.48929, 0.53362, 0.563839, 0.560304, 0.506067, 0.400987,
3966  0.284829, 0.231164, 0.237114, 0.291196, 0.407702, 0.513499,
3967  0.564784, 0.565303, 0.531855, 0.488047, 0.437394, 0.391562,
3968  0.352037, 0.3152, 0.285375, 0.259448, 0.238379, 0.219633,
3969  0.204266, 0.190936, 0.179308, 0.169103, 0.160376, 0.15249,
3970  0.145609, 0.138863, 0.134225, 0.128553, 0.124088, 0.119909,
3971  0.116179, 0.112941, 0.110056, 0.107536, 0.105102, 0.103118,
3972  0.101474, 0.100278, 0.0993298, 0.0988051, 0.0977951, 0.0973386,
3973  0.0975079, 0.0977859, 0.0983209, 0.0991895, 0.100061, 0.101576,
3974  0.103367, 0.105203, 0.107799, 0.109891, 0.112861, 0.116474,
3975  0.119776, 0.123994, 0.128438, 0.133533, 0.138998, 0.145362,
3976  0.151996, 0.160241, 0.168882, 0.1789, 0.190797, 0.203941,
3977  0.219765, 0.238028, 0.260299, 0.285916, 0.314774, 0.350607,
3978  0.391512, 0.436758, 0.486964, 0.531721, 0.562752, 0.563503,
3979  0.513133, 0.409018, 0.290817, 0.23743, 0.243703, 0.297304,
3980  0.416289, 0.520282, 0.568777, 0.567095, 0.535085, 0.487025,
3981  0.433852, 0.388576, 0.345679, 0.31091, 0.280457, 0.255156,
3982  0.232941, 0.214901, 0.199634, 0.186897, 0.17467, 0.165064,
3983  0.156234, 0.148098, 0.141838, 0.135436, 0.130123, 0.125183,
3984  0.120685, 0.116646, 0.113221, 0.109648, 0.106844, 0.104551,
3985  0.102273, 0.100326, 0.098722, 0.0971041, 0.0960094, 0.0953086,
3986  0.0948518, 0.0944034, 0.0947991, 0.0949071, 0.0951187, 0.0960899,
3987  0.0973745, 0.0988356, 0.100301, 0.102239, 0.104321, 0.10701,
3988  0.109749, 0.112929, 0.116535, 0.120559, 0.125059, 0.130266,
3989  0.134943, 0.14156, 0.148374, 0.155835, 0.164859, 0.175216,
3990  0.185685, 0.199855, 0.214995, 0.23395, 0.255099, 0.280888,
3991  0.311247, 0.346695, 0.387844, 0.434862, 0.485648, 0.532042,
3992  0.564914, 0.568212, 0.520778, 0.411835, 0.296828, 0.243357,
3993  0.247925, 0.302554, 0.422543, 0.527428, 0.57715, 0.570824,
3994  0.535054, 0.481793, 0.431843, 0.385846, 0.342056, 0.306393,
3995  0.276317, 0.251306, 0.229186, 0.211207, 0.195135, 0.182321,
3996  0.171674, 0.160799, 0.152528, 0.144756, 0.137828, 0.13219,
3997  0.126727, 0.121414, 0.117518, 0.113805, 0.109932, 0.106425,
3998  0.104159, 0.10133, 0.0992596, 0.0973996, 0.0955644, 0.0944167,
3999  0.0933224, 0.0926825, 0.0921495, 0.0918383, 0.091841, 0.091971,
4000  0.092358, 0.0934596, 0.0942642, 0.0958371, 0.0973097, 0.0992787,
4001  0.101213, 0.103833, 0.106642, 0.10977, 0.113691, 0.117033,
4002  0.121571, 0.126388, 0.131564, 0.137423, 0.145086, 0.152246,
4003  0.161054, 0.170946, 0.182481, 0.195325, 0.211738, 0.229172,
4004  0.251143, 0.276574, 0.305482, 0.342825, 0.384729, 0.43166,
4005  0.483441, 0.532393, 0.567049, 0.574107, 0.527718, 0.422794,
4006  0.304012, 0.246852, 0.254269, 0.309816, 0.431362, 0.533784,
4007  0.578896, 0.570626, 0.532004, 0.484714, 0.429326, 0.381701,
4008  0.339469, 0.301802, 0.271865, 0.246479, 0.224124, 0.206105,
4009  0.192147, 0.178869, 0.167347, 0.157053, 0.148572, 0.141136,
4010  0.134136, 0.128183, 0.123433, 0.118093, 0.114376, 0.110298,
4011  0.107005, 0.103689, 0.10092, 0.098542, 0.0965726, 0.0949257,
4012  0.0931679, 0.0919382, 0.0910936, 0.0901388, 0.0893225, 0.0891173,
4013  0.0891825, 0.0895044, 0.089801, 0.0906124, 0.091693, 0.093028,
4014  0.0945136, 0.0963278, 0.0989024, 0.101165, 0.1036, 0.106548,
4015  0.110258, 0.114336, 0.118238, 0.123348, 0.128829, 0.134069,
4016  0.140918, 0.148713, 0.156914, 0.167335, 0.178484, 0.191712,
4017  0.206401, 0.225099, 0.246123, 0.271778, 0.302607, 0.338644,
4018  0.381438, 0.431442, 0.48134, 0.532709, 0.57233, 0.57943,
4019  0.534417, 0.430905, 0.310892, 0.253872, 0.259603, 0.316842,
4020  0.439045, 0.542287, 0.58409, 0.575949, 0.533559, 0.480962,
4021  0.428594, 0.380519, 0.335864, 0.298605, 0.267889, 0.242705,
4022  0.220279, 0.202623, 0.186673, 0.175291, 0.162567, 0.153811,
4023  0.144941, 0.13739, 0.131233, 0.124924, 0.120068, 0.115229,
4024  0.111281, 0.107265, 0.104002, 0.100788, 0.0984181, 0.0961467,
4025  0.0939976, 0.0921918, 0.0901423, 0.0891532, 0.0882346, 0.087369,
4026  0.0868493, 0.086582, 0.0865828, 0.0869679, 0.0873721, 0.0880203,
4027  0.0893793, 0.0904168, 0.0918295, 0.0935077, 0.0957494, 0.0983788,
4028  0.101117, 0.104113, 0.107503, 0.111083, 0.115627, 0.119883,
4029  0.125321, 0.130881, 0.137863, 0.144688, 0.153728, 0.162975,
4030  0.174297, 0.186989, 0.202672, 0.221121, 0.242189, 0.267639,
4031  0.299284, 0.334731, 0.380018, 0.428041, 0.482377, 0.534413,
4032  0.575468, 0.585916, 0.540568, 0.440441, 0.318182, 0.259719,
4033  0.266135, 0.323984, 0.447228, 0.549902, 0.592109, 0.574885,
4034  0.536915, 0.480714, 0.426306, 0.373443, 0.330676, 0.294371,
4035  0.263605, 0.23914, 0.217221, 0.199185, 0.184167, 0.170367,
4036  0.159892, 0.149903, 0.141765, 0.134584, 0.128224, 0.122027,
4037  0.117152, 0.112558, 0.108114, 0.104535, 0.101531, 0.0981478,
4038  0.0954439, 0.0935877, 0.0916042, 0.089427, 0.0879959, 0.0865477,
4039  0.0858972, 0.0851178, 0.0845077, 0.0842866, 0.0841642, 0.0846953,
4040  0.0850618, 0.0856959, 0.0870857, 0.0880661, 0.0899646, 0.0909598,
4041  0.0933593, 0.0955465, 0.0983544, 0.101081, 0.10424, 0.10828,
4042  0.11256, 0.116909, 0.122117, 0.128219, 0.134537, 0.141933,
4043  0.149794, 0.159684, 0.170939, 0.18383, 0.198639, 0.216647,
4044  0.238777, 0.264568, 0.293926, 0.331805, 0.376677, 0.425875,
4045  0.481019, 0.53457, 0.57702, 0.59403, 0.550268, 0.447972,
4046  0.323928, 0.265709, 0.27268, 0.331953, 0.45485, 0.557383,
4047  0.59885, 0.582054, 0.538634, 0.481637, 0.423427, 0.372591,
4048  0.32892, 0.29113, 0.259685, 0.23512, 0.213731, 0.195146,
4049  0.179777, 0.167515, 0.156191, 0.146684, 0.138546, 0.131249,
4050  0.124637, 0.119502, 0.113995, 0.109239, 0.105174, 0.102049,
4051  0.0984917, 0.0954897, 0.0930722, 0.0908096, 0.0887829, 0.0866816,
4052  0.0857374, 0.084356, 0.0834961, 0.083058, 0.0823633, 0.0818241,
4053  0.0820445, 0.0822451, 0.0827232, 0.083667, 0.0842523, 0.0857607,
4054  0.0869431, 0.0888336, 0.0906269, 0.0928839, 0.0954024, 0.0987811,
4055  0.10199, 0.105426, 0.109458, 0.113829, 0.118856, 0.124852,
4056  0.131227, 0.138522, 0.146713, 0.156394, 0.167369, 0.179863,
4057  0.19516, 0.213316, 0.234627, 0.26115, 0.291616, 0.328926,
4058  0.372951, 0.424152, 0.48068, 0.538078, 0.582892, 0.597714,
4059  0.557719, 0.455026, 0.332983, 0.271786, 0.27771, 0.338176,
4060  0.46478, 0.568586, 0.603292, 0.586275, 0.537639, 0.478777,
4061  0.421544, 0.369926, 0.326657, 0.288421, 0.258235, 0.232063,
4062  0.210119, 0.192676, 0.176993, 0.163824, 0.153408, 0.144029,
4063  0.135489, 0.128531, 0.122196, 0.116284, 0.111595, 0.106994,
4064  0.102811, 0.099252, 0.0959438, 0.0931184, 0.0908054, 0.0881183,
4065  0.0862522, 0.0846858, 0.0834858, 0.0819785, 0.0810371, 0.0806764,
4066  0.0803306, 0.0799988, 0.0799851, 0.0802894, 0.0803473, 0.0808899,
4067  0.0819705, 0.0837055, 0.0846793, 0.0864997, 0.0883593, 0.0910429,
4068  0.0932648, 0.0962912, 0.0996047, 0.102961, 0.106993, 0.111034,
4069  0.116293, 0.12171, 0.128319, 0.135632, 0.143614, 0.153117,
4070  0.164054, 0.176509, 0.192224, 0.210877, 0.231679, 0.256446,
4071  0.287378, 0.325968, 0.370729, 0.424563, 0.480539, 0.537418,
4072  0.587598, 0.605492, 0.567, 0.465348, 0.338914, 0.277922,
4073  0.28442, 0.34618, 0.473401, 0.577333, 0.612341, 0.590366,
4074  0.53963, 0.480672, 0.420968, 0.368711, 0.324362, 0.285061,
4075  0.253663, 0.228078, 0.206912, 0.188674, 0.173744, 0.160599,
4076  0.149985, 0.14093, 0.132399, 0.125775, 0.118795, 0.11332,
4077  0.108454, 0.104388, 0.100405, 0.0969257, 0.0939866, 0.0910326,
4078  0.0886193, 0.0860078, 0.0843884, 0.0826531, 0.0812457, 0.0801109,
4079  0.0790212, 0.078289, 0.0779562, 0.0776588, 0.0778986, 0.077979,
4080  0.0786616, 0.0791546, 0.079913, 0.0812819, 0.0824861, 0.0845806,
4081  0.0861188, 0.0882125, 0.0906681, 0.0933944, 0.096769, 0.100487,
4082  0.104746, 0.108263, 0.113398, 0.119448, 0.125931, 0.132428,
4083  0.140145, 0.149972, 0.161537, 0.173972, 0.188982, 0.206732,
4084  0.228748, 0.254732, 0.285168, 0.322943, 0.367745, 0.419557,
4085  0.479963, 0.538154, 0.590549, 0.609313, 0.576856, 0.47514,
4086  0.346247, 0.284714, 0.291798, 0.352525, 0.483563, 0.585756,
4087  0.619742, 0.594213, 0.541326, 0.480627, 0.42019, 0.366058,
4088  0.320694, 0.282725, 0.250385, 0.224937, 0.203356, 0.185392,
4089  0.170889, 0.158202, 0.14679, 0.138612, 0.130293, 0.122382,
4090  0.116861, 0.110862, 0.105866, 0.101851, 0.0980078, 0.0946119,
4091  0.0916027, 0.0888565, 0.0867426, 0.0841699, 0.0821139, 0.080345,
4092  0.0791062, 0.0780206, 0.077046, 0.0763593, 0.0760577, 0.0758712,
4093  0.0758003, 0.0760489, 0.0764573, 0.0771326, 0.0778586, 0.0789308,
4094  0.0805673, 0.0824727, 0.0838519, 0.0861138, 0.0885656, 0.0916839,
4095  0.0942844, 0.097996, 0.101778, 0.10622, 0.111169, 0.11646,
4096  0.122094, 0.129769, 0.138043, 0.147069, 0.158571, 0.170621,
4097  0.18596, 0.204133, 0.225097, 0.251415, 0.282865, 0.321076,
4098  0.366874, 0.420731, 0.480169, 0.542707, 0.59395, 0.616447,
4099  0.586706, 0.483315, 0.352576, 0.290713, 0.298034, 0.362177,
4100  0.493297, 0.598404, 0.624878, 0.601008, 0.542489, 0.482514,
4101  0.418691, 0.363697, 0.319884, 0.28043, 0.24796, 0.222152,
4102  0.200149, 0.18297, 0.168066, 0.155256, 0.144305, 0.135472,
4103  0.126867, 0.120085, 0.11393, 0.108909, 0.103876, 0.0993595,
4104  0.0956449, 0.092225, 0.0893087, 0.0864581, 0.0838881, 0.0816834,
4105  0.0803527, 0.0784217, 0.0770197, 0.0762716, 0.0750365, 0.0745096,
4106  0.0742011, 0.073763, 0.0738591, 0.0739178, 0.0741576, 0.075324,
4107  0.0758365, 0.077295, 0.0787588, 0.0802093, 0.0821452, 0.0839979,
4108  0.0866606, 0.0888382, 0.0923828, 0.0958096, 0.0993748, 0.103633,
4109  0.10885, 0.114141, 0.119996, 0.126792, 0.135304, 0.144745,
4110  0.155182, 0.167756, 0.182309, 0.200651, 0.221558, 0.2484,
4111  0.280904, 0.318805, 0.363878, 0.419038, 0.481069, 0.544903,
4112  0.601077, 0.626643, 0.596734, 0.495875, 0.361452, 0.298115,
4113  0.304591, 0.369383, 0.504043, 0.606823, 0.633011, 0.603372,
4114  0.546474, 0.48036, 0.41696, 0.36295, 0.315571, 0.277092,
4115  0.245795, 0.218954, 0.197532, 0.179756, 0.164659, 0.152035,
4116  0.14205, 0.132089, 0.12482, 0.117195, 0.11158, 0.106241,
4117  0.101182, 0.0972467, 0.0936175, 0.090204, 0.0869885, 0.084465,
4118  0.0820529, 0.0802261, 0.0784206, 0.0765705, 0.0752558, 0.0740482,
4119  0.0732852, 0.0726011, 0.072134, 0.0720105, 0.0719258, 0.0722774,
4120  0.0726507, 0.0735262, 0.0743742, 0.0756207, 0.0765316, 0.0781495,
4121  0.0803126, 0.0821433, 0.0845577, 0.0871563, 0.0898883, 0.0934608,
4122  0.0974218, 0.10174, 0.105918, 0.112042, 0.1178, 0.124473,
4123  0.13249, 0.141261, 0.152394, 0.164588, 0.180577, 0.198024,
4124  0.220368, 0.245694, 0.277455, 0.31621, 0.363817, 0.418321,
4125  0.480901, 0.547439, 0.604791, 0.634205, 0.605603, 0.505709,
4126  0.36938, 0.304478, 0.310282, 0.377661, 0.513956, 0.614819,
4127  0.644801, 0.608066, 0.55081, 0.481557, 0.417589, 0.362877,
4128  0.314179, 0.276332, 0.242264, 0.216522, 0.195118, 0.17736,
4129  0.162796, 0.150532, 0.139337, 0.130224, 0.121827, 0.115748,
4130  0.108945, 0.104134, 0.099268, 0.0946733, 0.0913278, 0.0879898,
4131  0.0851182, 0.0826313, 0.0801231, 0.0783893, 0.076336, 0.0749553,
4132  0.0735742, 0.072558, 0.0716322, 0.0709741, 0.0705779, 0.0704292,
4133  0.0703774, 0.070573, 0.0710523, 0.0714328, 0.0725405, 0.0734755,
4134  0.0748966, 0.0760615, 0.0780351, 0.0802726, 0.0823667, 0.0851689,
4135  0.0879292, 0.0917239, 0.0953379, 0.098881, 0.104268, 0.109146,
4136  0.115476, 0.121755, 0.130219, 0.13924, 0.150436, 0.162601,
4137  0.176767, 0.194626, 0.21583, 0.243057, 0.275817, 0.315121,
4138  0.361867, 0.418596, 0.481042, 0.549803, 0.610362, 0.642094,
4139  0.613565, 0.515546, 0.378103, 0.310486, 0.31796, 0.387855,
4140  0.524297, 0.628496, 0.649766, 0.616813, 0.551374, 0.48386,
4141  0.418116, 0.36017, 0.31202, 0.272256, 0.241077, 0.213526,
4142  0.191661, 0.174968, 0.159571, 0.146774, 0.136189, 0.12765,
4143  0.119871, 0.113509, 0.107253, 0.101652, 0.0970614, 0.0930551,
4144  0.0893698, 0.0860989, 0.0831896, 0.0804392, 0.0786307, 0.0764485,
4145  0.0746987, 0.0732932, 0.071858, 0.0707453, 0.0697806, 0.0694718,
4146  0.068803, 0.0689963, 0.0684323, 0.0690668, 0.0693867, 0.0700258,
4147  0.0706469, 0.0718782, 0.0733012, 0.0746491, 0.0765484, 0.0783203,
4148  0.0804137, 0.0831778, 0.0859529, 0.0893743, 0.0932087, 0.0971834,
4149  0.10209, 0.10701, 0.113235, 0.119862, 0.127889, 0.136507,
4150  0.147633, 0.159719, 0.17423, 0.192675, 0.21504, 0.240143,
4151  0.27409, 0.312465, 0.3604, 0.418013, 0.482548, 0.550371,
4152  0.616169, 0.650338, 0.625667, 0.525281, 0.386486, 0.317694,
4153  0.325472, 0.395741, 0.537208, 0.633225, 0.654768, 0.619845,
4154  0.557623, 0.485828, 0.418356, 0.358636, 0.310097, 0.27005,
4155  0.239635, 0.21174, 0.190638, 0.172354, 0.157701, 0.144738,
4156  0.134752, 0.125616, 0.117334, 0.110264, 0.105237, 0.099798,
4157  0.0949204, 0.0910505, 0.0874602, 0.0841364, 0.0813833, 0.0791817,
4158  0.0768409, 0.0745584, 0.0730137, 0.0715857, 0.070062, 0.0691877,
4159  0.0684632, 0.0675732, 0.0674409, 0.0672083, 0.0670085, 0.0672221,
4160  0.0677574, 0.068345, 0.0689421, 0.070107, 0.0712128, 0.0729679,
4161  0.0747993, 0.0766899, 0.0787905, 0.0814722, 0.0843228, 0.0872036,
4162  0.0908816, 0.095177, 0.0999723, 0.104894, 0.110446, 0.117514,
4163  0.125522, 0.134566, 0.144294, 0.15702, 0.171847, 0.189831,
4164  0.211376, 0.238729, 0.269877, 0.310948, 0.358927, 0.417422,
4165  0.485717, 0.557787, 0.6215, 0.658029, 0.637533, 0.536328,
4166  0.396713, 0.325549, 0.332078, 0.404377, 0.546863, 0.649457,
4167  0.664309, 0.626293, 0.55998, 0.483475, 0.417105, 0.358562,
4168  0.310698, 0.268578, 0.235758, 0.209078, 0.187048, 0.170048,
4169  0.155194, 0.142151, 0.132331, 0.123077, 0.115628, 0.108646,
4170  0.102889, 0.0976913, 0.0931378, 0.0891612, 0.0856848, 0.082936,
4171  0.0797761, 0.0772748, 0.0749866, 0.0730617, 0.0713668, 0.0698973,
4172  0.0688396, 0.0677696, 0.0668369, 0.0660984, 0.0656774, 0.0656961,
4173  0.0656164, 0.0657041, 0.0663817, 0.0668305, 0.0677197, 0.0687641,
4174  0.0702637, 0.071328, 0.073162, 0.0748367, 0.077197, 0.0797025,
4175  0.0825238, 0.0857516, 0.0892885, 0.0929887, 0.097967, 0.102757,
4176  0.108465, 0.115479, 0.123224, 0.132198, 0.142842, 0.155897,
4177  0.169753, 0.186958, 0.209409, 0.236445, 0.268747, 0.309125,
4178  0.358286, 0.417372, 0.486804, 0.557795, 0.626903, 0.667786,
4179  0.646807, 0.54779, 0.405266, 0.33277, 0.340884, 0.412324,
4180  0.557829, 0.658109, 0.677711, 0.629255, 0.562912, 0.486335,
4181  0.415683, 0.357106, 0.308338, 0.266462, 0.234266, 0.207446,
4182  0.185595, 0.16736, 0.152973, 0.140553, 0.129752, 0.120696,
4183  0.113777, 0.106736, 0.100801, 0.0959499, 0.0909857, 0.0874655,
4184  0.0836567, 0.080896, 0.0782299, 0.0755307, 0.0736455, 0.0712784,
4185  0.0696464, 0.0681151, 0.0673471, 0.0662128, 0.065703, 0.0648843,
4186  0.0643974, 0.064212, 0.0643116, 0.0644706, 0.0646486, 0.0655214,
4187  0.0661777, 0.0672819, 0.068467, 0.0696796, 0.07122, 0.0734583,
4188  0.075475, 0.078021, 0.0802093, 0.0838622, 0.0875528, 0.0913453,
4189  0.0959156, 0.10116, 0.106523, 0.112974, 0.120806, 0.129357,
4190  0.140324, 0.152579, 0.16801, 0.18558, 0.207229, 0.23461,
4191  0.266719, 0.308107, 0.357529, 0.418806, 0.48741, 0.562977,
4192  0.636443, 0.677555, 0.658581, 0.560525, 0.412396, 0.338909,
4193  0.347353, 0.421761, 0.57111, 0.672293, 0.686222, 0.639604,
4194  0.565719, 0.490537, 0.417822, 0.356557, 0.307747, 0.266005,
4195  0.232503, 0.205144, 0.183119, 0.165345, 0.150952, 0.138996,
4196  0.128193, 0.118521, 0.111177, 0.104552, 0.0992722, 0.0939164,
4197  0.0893454, 0.0858598, 0.0824506, 0.0791043, 0.0765423, 0.0738686,
4198  0.0719342, 0.0701638, 0.0682077, 0.0667954, 0.0657003, 0.0646776,
4199  0.0640252, 0.0632351, 0.0627589, 0.0630414, 0.0629797, 0.0631162,
4200  0.063353, 0.0641022, 0.0649972, 0.0654757, 0.0670753, 0.0683496,
4201  0.0699442, 0.0717165, 0.0741847, 0.076386, 0.0790147, 0.0819599,
4202  0.0857169, 0.0897423, 0.0938665, 0.0987369, 0.104953, 0.111285,
4203  0.119094, 0.128227, 0.138083, 0.151347, 0.165485, 0.183735,
4204  0.205531, 0.23251, 0.265766, 0.306282, 0.358142, 0.418177,
4205  0.489164, 0.565848, 0.63894, 0.68512, 0.672415, 0.571671,
4206  0.421353, 0.347551, 0.355051, 0.430428, 0.580601, 0.681791,
4207  0.693303, 0.647066, 0.572128, 0.488512, 0.417353, 0.356748,
4208  0.306466, 0.263659, 0.231062, 0.202793, 0.181329, 0.163175,
4209  0.148907, 0.136069, 0.125903, 0.117808, 0.109261, 0.102811,
4210  0.0975049, 0.0920255, 0.0878739, 0.0837966, 0.0805033, 0.0777148,
4211  0.0751723, 0.0728467, 0.0703358, 0.0682985, 0.0670261, 0.0655939,
4212  0.0647649, 0.0632569, 0.0628939, 0.062108, 0.0617774, 0.0616848,
4213  0.0616119, 0.0616722, 0.0620737, 0.0626182, 0.0633976, 0.0645655,
4214  0.0653724, 0.0670753, 0.0688056, 0.070467, 0.0726366, 0.0748032,
4215  0.0779543, 0.0806348, 0.0842458, 0.0879193, 0.0921186, 0.0974336,
4216  0.102975, 0.109622, 0.117086, 0.125717, 0.136138, 0.148573,
4217  0.163752, 0.181806, 0.203429, 0.230539, 0.264467, 0.30511,
4218  0.355938, 0.418344, 0.490174, 0.570988, 0.647363, 0.697616,
4219  0.683919, 0.582671, 0.430905, 0.355414, 0.362301, 0.440418,
4220  0.590949, 0.694333, 0.706203, 0.652694, 0.573398, 0.49321,
4221  0.416659, 0.357187, 0.304971, 0.261894, 0.229428, 0.20078,
4222  0.179455, 0.161135, 0.146637, 0.134207, 0.124199, 0.11512,
4223  0.107378, 0.10084, 0.0956754, 0.0902208, 0.0864402, 0.0824521,
4224  0.0791298, 0.0759021, 0.0734682, 0.0711037, 0.0689414, 0.0669502,
4225  0.0654707, 0.0642708, 0.0629987, 0.0618739, 0.0616943, 0.0607296,
4226  0.0602514, 0.0602778, 0.0603708, 0.0604863, 0.0609241, 0.0615601,
4227  0.0622861, 0.0631974, 0.0644614, 0.0657598, 0.0672621, 0.0689818,
4228  0.0713138, 0.0732924, 0.0763581, 0.0792095, 0.0822622, 0.086513,
4229  0.090665, 0.095116, 0.101283, 0.107815, 0.114939, 0.123803,
4230  0.133979, 0.146731, 0.161823, 0.179559, 0.202438, 0.227846,
4231  0.262208, 0.304513, 0.356247, 0.419046, 0.493358, 0.573455,
4232  0.652153, 0.703987, 0.696376, 0.593748, 0.43998, 0.36161,
4233  0.369534, 0.452296, 0.606873, 0.707335, 0.71604, 0.659302,
4234  0.576517, 0.496329, 0.418097, 0.355534, 0.304077, 0.261642,
4235  0.228428, 0.199125, 0.177793, 0.160377, 0.144954, 0.132006,
4236  0.122147, 0.113166, 0.105653, 0.0995369, 0.0937811, 0.0890567,
4237  0.0847849, 0.081039, 0.0774269, 0.0747315, 0.072433, 0.0695457,
4238  0.0678207, 0.0660545, 0.0643829, 0.062916, 0.0619513, 0.0612775,
4239  0.0601878, 0.059641, 0.0594701, 0.059101, 0.0594858, 0.0594259,
4240  0.0597432, 0.0601195, 0.0611997, 0.0618766, 0.0629206, 0.064071,
4241  0.0658768, 0.0674188, 0.0698046, 0.0720433, 0.0748474, 0.0776275,
4242  0.081089, 0.0846786, 0.0893331, 0.0937452, 0.0995144, 0.106182,
4243  0.113373, 0.121442, 0.13324, 0.144916, 0.159421, 0.177992,
4244  0.200197, 0.226409, 0.260705, 0.303544, 0.35544, 0.418318,
4245  0.494422, 0.578042, 0.658947, 0.714599, 0.704037, 0.606297,
4246  0.450374, 0.369551, 0.37813, 0.461714, 0.61941, 0.717958,
4247  0.721039, 0.667637, 0.580906, 0.497782, 0.420163, 0.35524,
4248  0.303113, 0.258909, 0.225412, 0.198646, 0.175945, 0.158408,
4249  0.142789, 0.131033, 0.120447, 0.111798, 0.103896, 0.0979194,
4250  0.0920572, 0.0874388, 0.0833699, 0.0791981, 0.0759547, 0.0732715,
4251  0.0706965, 0.0685402, 0.0665422, 0.064654, 0.0632069, 0.0618171,
4252  0.0607464, 0.0597264, 0.0591723, 0.0584075, 0.0581047, 0.0579518,
4253  0.0579297, 0.0581138, 0.0585489, 0.0590092, 0.0597371, 0.0608745,
4254  0.0620089, 0.0632485, 0.0647402, 0.066456, 0.0686032, 0.0709581,
4255  0.0734099, 0.0762308, 0.0794211, 0.08318, 0.087149, 0.0922097,
4256  0.0980277, 0.104404, 0.111429, 0.120243, 0.130021, 0.143498,
4257  0.158018, 0.17633, 0.198666, 0.225802, 0.260921, 0.303016,
4258  0.355364, 0.419458, 0.496252, 0.580814, 0.666406, 0.72478,
4259  0.721428, 0.617507, 0.458538, 0.377031, 0.3858, 0.469409,
4260  0.631394, 0.731567, 0.732402, 0.675549, 0.586831, 0.497709,
4261  0.422729, 0.356082, 0.30234, 0.259321, 0.223602, 0.196932,
4262  0.17402, 0.156646, 0.141765, 0.128813, 0.119022, 0.110345,
4263  0.102993, 0.096454, 0.090837, 0.0859937, 0.0820041, 0.078424,
4264  0.074974, 0.0723922, 0.0694775, 0.0672396, 0.0652393, 0.0636595,
4265  0.0621385, 0.0604783, 0.0595594, 0.0587773, 0.0582553, 0.0573512,
4266  0.057254, 0.0570428, 0.0568044, 0.0572559, 0.0576475, 0.05811,
4267  0.058878, 0.0598549, 0.0606404, 0.0618495, 0.0634437, 0.0650997,
4268  0.067047, 0.0696197, 0.0718828, 0.0751437, 0.0781361, 0.0819461,
4269  0.0860482, 0.0909083, 0.0963564, 0.102557, 0.110431, 0.118875,
4270  0.129894, 0.141685, 0.156686, 0.174256, 0.197094, 0.224302,
4271  0.259212, 0.3016, 0.355037, 0.421936, 0.498308, 0.58589,
4272  0.672171, 0.734087, 0.733332, 0.630777, 0.471086, 0.384565,
4273  0.393682, 0.481915, 0.644687, 0.744512, 0.745019, 0.680667,
4274  0.590244, 0.500653, 0.421334, 0.354941, 0.300041, 0.257015,
4275  0.223545, 0.194844, 0.173083, 0.154754, 0.13948, 0.128001,
4276  0.117652, 0.108797, 0.101571, 0.0947477, 0.0894125, 0.0843789,
4277  0.0803675, 0.0768622, 0.0738427, 0.0707453, 0.0681178, 0.0661243,
4278  0.0639093, 0.0622426, 0.0607494, 0.0596211, 0.0586115, 0.0576635,
4279  0.0568041, 0.0561764, 0.0561375, 0.0559808, 0.0561814, 0.0559957,
4280  0.0565009, 0.05679, 0.0574713, 0.0583941, 0.0595971, 0.0609325,
4281  0.0626136, 0.0640801, 0.0662692, 0.0684663, 0.0705272, 0.0738499,
4282  0.0766742, 0.0802989, 0.0845947, 0.0892985, 0.0946943, 0.101189,
4283  0.108387, 0.116959, 0.127018, 0.139878, 0.155083, 0.172649,
4284  0.195819, 0.223948, 0.258469, 0.301349, 0.355461, 0.421044,
4285  0.502224, 0.590721, 0.680369, 0.744954, 0.744493, 0.642365,
4286  0.479563, 0.393266, 0.401422, 0.490106, 0.657258, 0.756718,
4287  0.75464, 0.690783, 0.595159, 0.502533, 0.422325, 0.35497,
4288  0.30103, 0.257611, 0.221433, 0.194212, 0.171485, 0.153046,
4289  0.138638, 0.126132, 0.115745, 0.107357, 0.0999574, 0.0933285,
4290  0.0881, 0.0829677, 0.0793495, 0.0756722, 0.0722694, 0.0694519,
4291  0.0674242, 0.064625, 0.063115, 0.0612939, 0.0597367, 0.0585032,
4292  0.0573207, 0.0568048, 0.0558714, 0.0555057, 0.055047, 0.0550714,
4293  0.0549902, 0.0550832, 0.0555454, 0.0560174, 0.05652, 0.0575621,
4294  0.0586454, 0.0598667, 0.0613885, 0.0631372, 0.064744, 0.067444,
4295  0.0696994, 0.0725641, 0.0752443, 0.079351, 0.0830817, 0.0880321,
4296  0.0932713, 0.0999738, 0.10692, 0.115651, 0.125503, 0.138349,
4297  0.153521, 0.171375, 0.193464, 0.222877, 0.256717, 0.301137,
4298  0.356376, 0.423221, 0.505373, 0.595216, 0.6874, 0.755867,
4299  0.758525, 0.656618, 0.491639, 0.400831, 0.409681, 0.49915,
4300  0.671389, 0.771051, 0.767063, 0.69622, 0.598595, 0.508126,
4301  0.423812, 0.351815, 0.299429, 0.256434, 0.220361, 0.192984,
4302  0.17008, 0.151949, 0.137342, 0.12485, 0.11387, 0.105738,
4303  0.0986522, 0.0918883, 0.0870377, 0.0820758, 0.0781358, 0.0744657,
4304  0.0711346, 0.0684876, 0.066204, 0.0639642, 0.0619559, 0.0602995,
4305  0.0590522, 0.0579705, 0.0565486, 0.0558985, 0.0552552, 0.0546852,
4306  0.0542539, 0.0542318, 0.0541044, 0.0542714, 0.0547618, 0.055052,
4307  0.0556434, 0.0568555, 0.0576639, 0.0592166, 0.060423, 0.0620279,
4308  0.0637838, 0.0660099, 0.0684037, 0.0710397, 0.074463, 0.0779321,
4309  0.0823137, 0.0866888, 0.092048, 0.0984063, 0.105455, 0.114099,
4310  0.125058, 0.137286, 0.151689, 0.170437, 0.192648, 0.2206,
4311  0.255309, 0.300018, 0.35463, 0.423298, 0.506014, 0.599754,
4312  0.694924, 0.76442, 0.771364, 0.672796, 0.50198, 0.408354,
4313  0.416518, 0.511638, 0.687072, 0.78429, 0.778605, 0.703572,
4314  0.60484, 0.508523, 0.424297, 0.35495, 0.298237, 0.25638,
4315  0.219777, 0.190489, 0.169049, 0.150743, 0.135178, 0.123109,
4316  0.113225, 0.104367, 0.0970462, 0.0910303, 0.0854656, 0.0809342,
4317  0.0768855, 0.0734751, 0.0701993, 0.0674611, 0.0650688, 0.0629759,
4318  0.0609946, 0.0592151, 0.0580799, 0.0568235, 0.0555965, 0.0547629,
4319  0.0540926, 0.0535817, 0.053229, 0.0531508, 0.0533071, 0.0532797,
4320  0.053677, 0.0541208, 0.0547992, 0.0557932, 0.0567244, 0.0579827,
4321  0.059509, 0.0608165, 0.0629373, 0.0651176, 0.0673429, 0.0701715,
4322  0.0732505, 0.0768927, 0.0808972, 0.0852231, 0.0908824, 0.0969871,
4323  0.104069, 0.112865, 0.12343, 0.135357, 0.150485, 0.168462,
4324  0.19082, 0.219639, 0.254997, 0.299301, 0.354744, 0.427221,
4325  0.5107, 0.603937, 0.704872, 0.776988, 0.7836, 0.686527,
4326  0.511756, 0.416861, 0.426642, 0.522181, 0.702054, 0.798825,
4327  0.79073, 0.710511, 0.609225, 0.513144, 0.425536, 0.35689,
4328  0.298791, 0.254808, 0.21858, 0.189343, 0.167069, 0.148983,
4329  0.134077, 0.121998, 0.111608, 0.10354, 0.0954203, 0.0895085,
4330  0.0847331, 0.0796831, 0.0755219, 0.0721554, 0.0690584, 0.0665228,
4331  0.0637244, 0.0618899, 0.0601416, 0.0581798, 0.0571148, 0.0557879,
4332  0.054668, 0.0541956, 0.0534097, 0.0528774, 0.0526734, 0.0524629,
4333  0.0524366, 0.0524591, 0.0527824, 0.0533952, 0.0540282, 0.0547649,
4334  0.0558428, 0.0570626, 0.0584971, 0.0601309, 0.0621107, 0.0642448,
4335  0.066347, 0.0690016, 0.0721005, 0.0757187, 0.079759, 0.0842317,
4336  0.089393, 0.0959457, 0.103162, 0.111804, 0.12197, 0.134107,
4337  0.148727, 0.167553, 0.189691, 0.218161, 0.254441, 0.298904,
4338  0.356038, 0.427004, 0.512119, 0.610491, 0.711362, 0.787981,
4339  0.800518, 0.698226, 0.521152, 0.424956, 0.434325, 0.532976,
4340  0.715247, 0.813833, 0.798028, 0.716063, 0.613645, 0.514959,
4341  0.427785, 0.35675, 0.298842, 0.252712, 0.217045, 0.188395,
4342  0.165831, 0.147614, 0.133201, 0.12038, 0.11043, 0.101782,
4343  0.0943259, 0.088672, 0.0828277, 0.0784118, 0.0745275, 0.0709413,
4344  0.0683824, 0.0653922, 0.0630392, 0.0613099, 0.0590946, 0.057601,
4345  0.0563099, 0.0551214, 0.0540499, 0.0532473, 0.0523916, 0.0519276,
4346  0.0516435, 0.0518517, 0.051581, 0.0517689, 0.0521659, 0.0526151,
4347  0.0533064, 0.0539229, 0.0551221, 0.0562355, 0.0575415, 0.0594408,
4348  0.0610583, 0.063099, 0.0656358, 0.068297, 0.0712677, 0.0748245,
4349  0.0787455, 0.0829985, 0.0884531, 0.0947622, 0.101994, 0.110582,
4350  0.120819, 0.13311, 0.148689, 0.165798, 0.188944, 0.218294,
4351  0.253293, 0.298534, 0.356874, 0.427816, 0.515413, 0.614731,
4352  0.718721, 0.801002, 0.813227, 0.711949, 0.531405, 0.436052,
4353  0.443366, 0.54541, 0.726084, 0.829844, 0.808419, 0.726084,
4354  0.62018, 0.517743, 0.429093, 0.356929, 0.297091, 0.252242,
4355  0.216728, 0.188685, 0.165393, 0.146808, 0.131436, 0.119354,
4356  0.109526, 0.100575, 0.0933994, 0.0872573, 0.0821742, 0.0774391,
4357  0.0736413, 0.0701432, 0.0672308, 0.0642532, 0.0621782, 0.0603369,
4358  0.0580677, 0.056727, 0.0555015, 0.0541586, 0.0532537, 0.0523596,
4359  0.0517369, 0.0514269, 0.0511508, 0.0506651, 0.0508836, 0.0511615,
4360  0.0513079, 0.0517472, 0.0525579, 0.0534413, 0.0543733, 0.0556708,
4361  0.0568247, 0.0582698, 0.0601245, 0.0620039, 0.0644622, 0.0670417,
4362  0.070141, 0.073578, 0.0773316, 0.0821604, 0.0872516, 0.0936686,
4363  0.100721, 0.109414, 0.119371, 0.131537, 0.146718, 0.165373,
4364  0.188348, 0.216823, 0.252922, 0.298495, 0.356608, 0.430195,
4365  0.515691, 0.620603, 0.725783, 0.811671, 0.828689, 0.727414,
4366  0.543477, 0.443419, 0.451281, 0.555637, 0.742041, 0.839301,
4367  0.821784, 0.734362, 0.627177, 0.519737, 0.429505, 0.359212,
4368  0.298742, 0.252154, 0.215683, 0.18699, 0.164041, 0.14597,
4369  0.130782, 0.118042, 0.10771, 0.0999715, 0.0921148, 0.0861767,
4370  0.0808522, 0.0761896, 0.0724879, 0.0691717, 0.0659958, 0.0634929,
4371  0.0613374, 0.0593363, 0.05736, 0.0560407, 0.0545929, 0.0534886,
4372  0.0525499, 0.0517884, 0.051229, 0.0504584, 0.0502857, 0.0502712,
4373  0.0501453, 0.0504847, 0.0508176, 0.0510021, 0.0518052, 0.0524854,
4374  0.0535645, 0.0546482, 0.0558802, 0.0574797, 0.059305, 0.0611254,
4375  0.0636027, 0.0664019, 0.0692083, 0.0724559, 0.0761846, 0.0809826,
4376  0.0865145, 0.0922925, 0.0994758, 0.108259, 0.118082, 0.130805,
4377  0.145208, 0.164626, 0.187929, 0.215845, 0.25128, 0.298321,
4378  0.35726, 0.429334, 0.520854, 0.627627, 0.736924, 0.819385,
4379  0.842183, 0.745362, 0.55675, 0.45127, 0.461287, 0.566149,
4380  0.761347, 0.860848, 0.832716, 0.738739, 0.629488, 0.522181,
4381  0.430908, 0.35731, 0.298307, 0.251822, 0.213754, 0.186113,
4382  0.163794, 0.144732, 0.129339, 0.11742, 0.10713, 0.0988036,
4383  0.0917663, 0.0852467, 0.0798036, 0.0752817, 0.072028, 0.0683446,
4384  0.0652229, 0.06285, 0.0603704, 0.058486, 0.0567865, 0.0551526,
4385  0.0539306, 0.0528663, 0.0517289, 0.0510914, 0.0506273, 0.0498983,
4386  0.0497591, 0.0494434, 0.0497076, 0.0496081, 0.049952, 0.0503608,
4387  0.0510212, 0.0518509, 0.0528534, 0.0537224, 0.0553189, 0.0569364,
4388  0.0583117, 0.060481, 0.0627494, 0.0653998, 0.0684056, 0.0718927,
4389  0.0754571, 0.0802577, 0.0850793, 0.0914254, 0.0988734, 0.106731,
4390  0.117014, 0.129727, 0.14467, 0.163302, 0.186061, 0.215132,
4391  0.252618, 0.299655, 0.357466, 0.432022, 0.524637, 0.629667,
4392  0.743765, 0.833234, 0.858065, 0.756367, 0.56904, 0.459438,
4393  0.46873, 0.578092, 0.774155, 0.868318, 0.845093, 0.752123,
4394  0.637438, 0.525449, 0.433577, 0.356612, 0.298079, 0.251725,
4395  0.214367, 0.185537, 0.163074, 0.142914, 0.129042, 0.11658,
4396  0.105834, 0.097559, 0.0904424, 0.0846816, 0.0789487, 0.0746331,
4397  0.0708002, 0.0675649, 0.0642517, 0.0617786, 0.0598133, 0.0577222,
4398  0.0561963, 0.0545189, 0.0531462, 0.0520439, 0.0512073, 0.050516,
4399  0.0499044, 0.0494819, 0.0490914, 0.0487799, 0.0489473, 0.0489145,
4400  0.049165, 0.0498605, 0.0505705, 0.0511295, 0.052106, 0.0531569,
4401  0.0546047, 0.0559827, 0.0576914, 0.059758, 0.0622335, 0.0644199,
4402  0.0675199, 0.0708807, 0.0743593, 0.0793758, 0.0842614, 0.0902509,
4403  0.0971247, 0.106028, 0.11657, 0.128632, 0.144088, 0.161879,
4404  0.186058, 0.214605, 0.250907, 0.298161, 0.357791, 0.433009,
4405  0.525689, 0.637499, 0.749881, 0.847949, 0.872196, 0.772652,
4406  0.578946, 0.469656, 0.477965, 0.591201, 0.788759, 0.888314,
4407  0.857073, 0.756725, 0.638281, 0.527588, 0.434035, 0.359351,
4408  0.298958, 0.250475, 0.214291, 0.183444, 0.161928, 0.143129,
4409  0.127862, 0.114947, 0.105283, 0.0962931, 0.0894224, 0.0833817,
4410  0.0780446, 0.0740592, 0.0698923, 0.0666596, 0.0636927, 0.0616104,
4411  0.0591102, 0.0570203, 0.055365, 0.053831, 0.0526063, 0.0515867,
4412  0.0508237, 0.0496756, 0.0491604, 0.0488333, 0.0485309, 0.0481138,
4413  0.0483708, 0.0484604, 0.048834, 0.0492523, 0.04992, 0.0508382,
4414  0.0514925, 0.0527367, 0.0538535, 0.0551973, 0.0570733, 0.0590991,
4415  0.061125, 0.0635219, 0.0664991, 0.0701093, 0.0738606, 0.0780622,
4416  0.0832498, 0.0891928, 0.0963537, 0.10445, 0.115342, 0.127522,
4417  0.142502, 0.160954, 0.185371, 0.213219, 0.250703, 0.298527,
4418  0.357891, 0.434763, 0.5284, 0.641823, 0.75957, 0.859689,
4419  0.890125, 0.789323, 0.58865, 0.476505, 0.488218, 0.603574,
4420  0.803374, 0.901816, 0.872032, 0.764512, 0.64665, 0.531371,
4421  0.435568, 0.359934, 0.299022, 0.25025, 0.213996, 0.182935,
4422  0.160293, 0.142256, 0.126885, 0.114028, 0.104247, 0.0955454,
4423  0.0886327, 0.0826668, 0.0774628, 0.0728425, 0.0691454, 0.0657987,
4424  0.0630487, 0.0605996, 0.058022, 0.0562851, 0.0547614, 0.0532591,
4425  0.0520808, 0.0511737, 0.0500615, 0.0492626, 0.0486972, 0.0479837,
4426  0.047758, 0.0479254, 0.0477233, 0.0477561, 0.0481923, 0.0486628,
4427  0.0492516, 0.0498655, 0.0510818, 0.0518856, 0.0534158, 0.054676,
4428  0.0561986, 0.0582244, 0.060481, 0.0630449, 0.0658986, 0.0689463,
4429  0.073106, 0.0770498, 0.082406, 0.0886838, 0.0954966, 0.103939,
4430  0.114372, 0.126182, 0.1416, 0.160723, 0.18369, 0.21416,
4431  0.251902, 0.298762, 0.36012, 0.435755, 0.532301, 0.644973,
4432  0.767364, 0.867399, 0.904405, 0.805586, 0.599037, 0.488912,
4433  0.496466, 0.615364, 0.820948, 0.914547, 0.880992, 0.774159,
4434  0.651398, 0.535287, 0.439362, 0.362359, 0.298522, 0.250792,
4435  0.21338, 0.183186, 0.159314, 0.140434, 0.12546, 0.113545,
4436  0.103137, 0.0951374, 0.0875612, 0.0817765, 0.0769537, 0.0719525,
4437  0.0683305, 0.0650387, 0.0623368, 0.0598705, 0.05776, 0.0559633,
4438  0.0543149, 0.0528995, 0.0512603, 0.0504527, 0.0494239, 0.0486956,
4439  0.0481603, 0.0477622, 0.0473267, 0.047347, 0.0473801, 0.0475971,
4440  0.0476821, 0.048232, 0.0485793, 0.0493461, 0.0505495, 0.0513228,
4441  0.0528236, 0.0540652, 0.055741, 0.0577295, 0.0596738, 0.0625438,
4442  0.0651756, 0.0685303, 0.0721764, 0.0764969, 0.0817433, 0.0877515,
4443  0.0947256, 0.103224, 0.113265, 0.125707, 0.140991, 0.159809,
4444  0.183114, 0.212753, 0.25075, 0.299812, 0.360603, 0.438386,
4445  0.534894, 0.650822, 0.772576, 0.882968, 0.921334, 0.821597,
4446  0.613275, 0.496733, 0.505736, 0.627284, 0.834923, 0.936343,
4447  0.895844, 0.784534, 0.653403, 0.537609, 0.439724, 0.360529,
4448  0.297461, 0.250498, 0.212335, 0.181704, 0.158884, 0.140189,
4449  0.124897, 0.112751, 0.10244, 0.0937269, 0.0871422, 0.0809155,
4450  0.0755437, 0.0718408, 0.0677975, 0.0646765, 0.0617782, 0.0593619,
4451  0.0570542, 0.0551134, 0.0536736, 0.0522452, 0.0508641, 0.049957,
4452  0.0486998, 0.0481588, 0.0477862, 0.0471655, 0.0468181, 0.0468372,
4453  0.0467247, 0.0469241, 0.0472726, 0.0476989, 0.0483044, 0.0488985,
4454  0.04987, 0.0510544, 0.0520957, 0.0535371, 0.055381, 0.0570123,
4455  0.059241, 0.0616024, 0.0645682, 0.0674619, 0.0716071, 0.0757294,
4456  0.0807023, 0.0865706, 0.0939088, 0.102472, 0.112442, 0.124868,
4457  0.140162, 0.159161, 0.182157, 0.211674, 0.248858, 0.299035,
4458  0.361002, 0.440548, 0.537723, 0.659397, 0.784618, 0.891082,
4459  0.934489, 0.840189, 0.626003, 0.505343, 0.515268, 0.63968,
4460  0.857012, 0.952758, 0.910639, 0.790783, 0.661174, 0.540202,
4461  0.443957, 0.362436, 0.298595, 0.250308, 0.212436, 0.181758,
4462  0.157992, 0.138907, 0.12379, 0.111896, 0.101809, 0.0929693,
4463  0.0857424, 0.0800499, 0.0752695, 0.0707754, 0.0672133, 0.0638826,
4464  0.0609679, 0.0586648, 0.0567183, 0.05493, 0.0529552, 0.0516641,
4465  0.0503856, 0.0492638, 0.0485237, 0.0477896, 0.0473149, 0.0468051,
4466  0.046587, 0.0465439, 0.0462835, 0.0466305, 0.0468646, 0.0471712,
4467  0.0478823, 0.0482949, 0.0494537, 0.0503234, 0.0517518, 0.053089,
4468  0.0545555, 0.0566637, 0.0585245, 0.0609069, 0.0638879, 0.0669067,
4469  0.0707514, 0.0752138, 0.0798497, 0.0857981, 0.0931576, 0.101577,
4470  0.111572, 0.12404, 0.139366, 0.157701, 0.182506, 0.210898,
4471  0.249591, 0.297986, 0.36107, 0.442603, 0.543145, 0.661567,
4472  0.793064, 0.909945, 0.952418, 0.85697, 0.639657, 0.514075,
4473  0.524419, 0.651043, 0.872985, 0.963999, 0.921491, 0.801315,
4474  0.665212, 0.547317, 0.442912, 0.363716, 0.29839, 0.250012,
4475  0.21133, 0.181519, 0.156995, 0.13862, 0.123058, 0.110945,
4476  0.100458, 0.0922272, 0.0853161, 0.0795786, 0.0741439, 0.0701989,
4477  0.0666391, 0.0631501, 0.0603601, 0.0579506, 0.0559366, 0.0540541,
4478  0.0526787, 0.0513976, 0.0500184, 0.0489015, 0.0479288, 0.0472341,
4479  0.0465809, 0.0462465, 0.0460173, 0.0459037, 0.0458149, 0.0459987,
4480  0.0462953, 0.0468436, 0.0473775, 0.0481244, 0.0489015, 0.0500111,
4481  0.0512332, 0.0525571, 0.054292, 0.0557707, 0.0581177, 0.0604505,
4482  0.0634205, 0.0665506, 0.070311, 0.0742083, 0.0793174, 0.0850271,
4483  0.0925925, 0.100515, 0.110858, 0.123484, 0.138086, 0.157445,
4484  0.180884, 0.211231, 0.250509, 0.299107, 0.362144, 0.444204,
4485  0.544979, 0.669449, 0.803149, 0.922246, 0.968944, 0.871357,
4486  0.651905, 0.523127, 0.531737, 0.665674, 0.884645, 0.984551,
4487  0.933002, 0.808796, 0.672388, 0.546924, 0.445855, 0.363415,
4488  0.300541, 0.249777, 0.210169, 0.180582, 0.156795, 0.138065,
4489  0.122688, 0.110373, 0.0999273, 0.0916011, 0.0845775, 0.078991,
4490  0.0735536, 0.0694573, 0.0656778, 0.062558, 0.0597439, 0.0575762,
4491  0.0553685, 0.0536526, 0.0519257, 0.0507692, 0.0495097, 0.048439,
4492  0.047861, 0.0472021, 0.04638, 0.0458763, 0.0456242, 0.0458275,
4493  0.0457935, 0.0456364, 0.0459617, 0.0464425, 0.0470907, 0.0477473,
4494  0.0483662, 0.0494823, 0.0508183, 0.0520736, 0.0537349, 0.0554344,
4495  0.0576696, 0.0598255, 0.0626849, 0.0658242, 0.0693231, 0.0737008,
4496  0.0787424, 0.0844315, 0.0919089, 0.100248, 0.110236, 0.122892,
4497  0.138617, 0.156977, 0.181119, 0.210663, 0.249566, 0.299115,
4498  0.362754, 0.447251, 0.550157, 0.671782, 0.813258, 0.932373,
4499  0.984665, 0.887559, 0.664797, 0.533754, 0.542127, 0.677799,
4500  0.903855, 1.00006, 0.94517, 0.821231, 0.67712, 0.552243,
4501  0.44825, 0.36483, 0.300606, 0.249004, 0.211065, 0.180386,
4502  0.155883, 0.137787, 0.122216, 0.109267, 0.0995239, 0.0909255,
4503  0.084136, 0.0781811, 0.0731765, 0.0687789, 0.0654471, 0.0621297,
4504  0.0592234, 0.0570927, 0.0547912, 0.0533472, 0.0514986, 0.0501347,
4505  0.0492966, 0.048092, 0.0472459, 0.0467216, 0.0460475, 0.0456322,
4506  0.0453508, 0.0449234, 0.0451869, 0.0454549, 0.0455175, 0.0462416,
4507  0.046746, 0.0473351, 0.0481141, 0.0492443, 0.0505503, 0.0518139,
4508  0.053187, 0.0549608, 0.0570885, 0.0594023, 0.0618384, 0.0653583,
4509  0.0689398, 0.073027, 0.0779341, 0.0841722, 0.0909335, 0.0994106,
4510  0.109391, 0.12201, 0.137238, 0.156503, 0.181077, 0.210226,
4511  0.250101, 0.300278, 0.36491, 0.448109, 0.551218, 0.6795,
4512  0.820197, 0.945551, 1.0018, 0.907146, 0.676972, 0.541818,
4513  0.551706, 0.689684, 0.92366, 1.01778, 0.955949, 0.831495,
4514  0.685696, 0.556514, 0.450603, 0.366089, 0.301104, 0.250131,
4515  0.210517, 0.180029, 0.156028, 0.137174, 0.121, 0.109092,
4516  0.0987308, 0.0903886, 0.0835228, 0.0774109, 0.072417, 0.0683107,
4517  0.064723, 0.0613809, 0.0590358, 0.0564548, 0.0545143, 0.0528488,
4518  0.0513251, 0.0498559, 0.0488905, 0.0477736, 0.046844, 0.0461478,
4519  0.0456227, 0.0453962, 0.045013, 0.0447514, 0.0448875, 0.0448044,
4520  0.0452128, 0.0457501, 0.0461741, 0.0469115, 0.0476642, 0.04881,
4521  0.0498899, 0.0511409, 0.0528282, 0.0545414, 0.0565368, 0.0588448,
4522  0.0614381, 0.0646753, 0.0682344, 0.0723983, 0.0776393, 0.0833676,
4523  0.090026, 0.0986865, 0.108395, 0.121869, 0.136734, 0.155875,
4524  0.18023, 0.210615, 0.25014, 0.300467, 0.367377, 0.449566,
4525  0.556754, 0.686916, 0.829608, 0.957532, 1.01731, 0.921327,
4526  0.690401, 0.551317, 0.560819, 0.703, 0.937921, 1.03589,
4527  0.975015, 0.843003, 0.691987, 0.559473, 0.451766, 0.368078,
4528  0.30078, 0.24997, 0.209798, 0.180147, 0.155254, 0.136716,
4529  0.120642, 0.108623, 0.0976997, 0.0895261, 0.0828098, 0.0768214,
4530  0.0719731, 0.0677662, 0.0642715, 0.0611353, 0.0587598, 0.0562798,
4531  0.0543523, 0.052281, 0.0507981, 0.0497156, 0.0483017, 0.0476314,
4532  0.0467407, 0.0459209, 0.0453417, 0.0447834, 0.0448147, 0.0444216,
4533  0.0444559, 0.0447106, 0.0449009, 0.0454008, 0.0461089, 0.0467315,
4534  0.0475765, 0.0483128, 0.0497179, 0.0509713, 0.0524179, 0.054194,
4535  0.0561021, 0.0585161, 0.061122, 0.0641125, 0.067595, 0.0719621,
4536  0.0770357, 0.0826024, 0.0895757, 0.0985108, 0.108332, 0.120319,
4537  0.136488, 0.155363, 0.178875, 0.210314, 0.250499, 0.301706,
4538  0.36723, 0.451224, 0.559233, 0.691839, 0.83659, 0.97424,
4539  1.03391, 0.939481, 0.703762, 0.560845, 0.571106, 0.716052,
4540  0.958767, 1.05301, 0.984566, 0.847979, 0.696006, 0.562504,
4541  0.452841, 0.368238, 0.301614, 0.25051, 0.210647, 0.178555,
4542  0.155141, 0.135725, 0.120469, 0.107174, 0.0973924, 0.0892687,
4543  0.0823019, 0.0761095, 0.0711331, 0.0672251, 0.0638296, 0.0606034,
4544  0.0578809, 0.0558546, 0.0537635, 0.0521239, 0.0505396, 0.0491193,
4545  0.0481271, 0.0471022, 0.0463559, 0.0454873, 0.0451289, 0.0449302,
4546  0.0444296, 0.0443244, 0.0443941, 0.0443167, 0.0447045, 0.045061,
4547  0.045583, 0.0462987, 0.0468963, 0.0481233, 0.0492459, 0.0505255,
4548  0.0520549, 0.0537132, 0.055757, 0.0580776, 0.0604524, 0.0637389,
4549  0.0673921, 0.0713436, 0.0764233, 0.0824216, 0.0892843, 0.0973996,
4550  0.107852, 0.119947, 0.135585, 0.155001, 0.178538, 0.210275,
4551  0.248655, 0.301333, 0.367743, 0.453112, 0.564319, 0.696605,
4552  0.845485, 0.985531, 1.05113, 0.957284, 0.715388, 0.572288,
4553  0.580772, 0.73183, 0.976158, 1.06528, 0.999765, 0.856783,
4554  0.702679, 0.566111, 0.453142, 0.369648, 0.300564, 0.250092,
4555  0.209794, 0.178018, 0.154356, 0.13576, 0.11941, 0.107349,
4556  0.096674, 0.0886666, 0.0816529, 0.0760702, 0.0708933, 0.0667588,
4557  0.0631078, 0.0601069, 0.0577459, 0.0555946, 0.0536625, 0.051536,
4558  0.050307, 0.0488237, 0.0476608, 0.0467517, 0.0459887, 0.0454191,
4559  0.0450016, 0.0443682, 0.0441936, 0.04407, 0.0441169, 0.0440391,
4560  0.0443636, 0.0449013, 0.0453863, 0.0460257, 0.0470183, 0.0478205,
4561  0.0490216, 0.050042, 0.0516816, 0.0535405, 0.0555153, 0.0577009,
4562  0.0602278, 0.0633434, 0.0668888, 0.0708105, 0.0756828, 0.0815568,
4563  0.0886148, 0.0972357, 0.107167, 0.119431, 0.135044, 0.15443,
4564  0.179314, 0.209737, 0.249858, 0.302755, 0.369055, 0.455491,
4565  0.568243, 0.703472, 0.850778, 1.00402, 1.07092, 0.980193,
4566  0.732078, 0.581478, 0.589718, 0.74738, 0.997096, 1.08547,
4567  1.01197, 0.867365, 0.708532, 0.570149, 0.457417, 0.370507,
4568  0.302845, 0.250322, 0.210077, 0.178682, 0.153873, 0.134511,
4569  0.119073, 0.106967, 0.0963835, 0.0880615, 0.0808937, 0.0751208,
4570  0.0703537, 0.0662597, 0.0630834, 0.0601702, 0.0570881, 0.054835,
4571  0.0529136, 0.0513053, 0.0500977, 0.0484943, 0.0474652, 0.0465184,
4572  0.0457809, 0.0451281, 0.0446046, 0.0443507, 0.0438355, 0.0437738,
4573  0.0438523, 0.0439614, 0.0440369, 0.0444696, 0.0451117, 0.0458297,
4574  0.0464776, 0.0474911, 0.0487738, 0.0499272, 0.051364, 0.0529712,
4575  0.055015, 0.057376, 0.0598873, 0.06259, 0.066578, 0.0707243,
4576  0.0755234, 0.0810074, 0.0879727, 0.096841, 0.106884, 0.119438,
4577  0.1347, 0.154281, 0.178475, 0.209745, 0.249765, 0.302445,
4578  0.370767, 0.459167, 0.572319, 0.707808, 0.866228, 1.01565,
4579  1.08587, 0.994861, 0.74481, 0.590911, 0.60171, 0.761217,
4580  1.01739, 1.1008, 1.02374, 0.876962, 0.715773, 0.575659,
4581  0.462053, 0.370764, 0.302797, 0.250786, 0.209892, 0.178527,
4582  0.153491, 0.133671, 0.118564, 0.106242, 0.0960826, 0.0875124,
4583  0.0807069, 0.0750586, 0.0698817, 0.065862, 0.0625297, 0.0595716,
4584  0.0568552, 0.054726, 0.0526616, 0.0510418, 0.0494971, 0.0483097,
4585  0.0471216, 0.0462149, 0.0457302, 0.0447354, 0.0441817, 0.0441261,
4586  0.0438855, 0.0435572, 0.0433295, 0.0436773, 0.0440033, 0.0442618,
4587  0.0446896, 0.0455319, 0.0465352, 0.0472371, 0.0486396, 0.049695,
4588  0.0512839, 0.0529723, 0.0547698, 0.0567743, 0.0595342, 0.062405,
4589  0.0658151, 0.0698862, 0.0750655, 0.0805643, 0.0873561, 0.0963537,
4590  0.106199, 0.118641, 0.134242, 0.153491, 0.177821, 0.209589,
4591  0.250627, 0.303199, 0.369923, 0.459968, 0.574241, 0.714572,
4592  0.873649, 1.02616, 1.10596, 1.01126, 0.758674, 0.602579,
4593  0.611925, 0.772977, 1.03273, 1.11818, 1.03944, 0.883784,
4594  0.717359, 0.578038, 0.46126, 0.372208, 0.302888, 0.249798,
4595  0.209016, 0.178573, 0.15322, 0.134654, 0.118149, 0.105865,
4596  0.0952056, 0.0868497, 0.0800877, 0.0745706, 0.069352, 0.0654681,
4597  0.0623761, 0.0590313, 0.0567922, 0.0545292, 0.0528107, 0.0508004,
4598  0.0493835, 0.0483791, 0.0470488, 0.0460414, 0.0451365, 0.0446225,
4599  0.0441524, 0.0435625, 0.0436292, 0.0435297, 0.0434073, 0.0435061,
4600  0.0438329, 0.0439789, 0.0448616, 0.0454092, 0.0461443, 0.0471109,
4601  0.0482831, 0.0495623, 0.0510227, 0.0525552, 0.054435, 0.0563545,
4602  0.0592646, 0.0620573, 0.0655039, 0.0697673, 0.0743353, 0.0802509,
4603  0.0873767, 0.0955229, 0.106255, 0.118463, 0.133256, 0.154141,
4604  0.178084, 0.208892, 0.250167, 0.303064, 0.372383, 0.463354,
4605  0.576048, 0.720414, 0.887547, 1.04242, 1.12432, 1.03051,
4606  0.773918, 0.612543, 0.61978, 0.788004, 1.05083, 1.14587,
4607  1.05832, 0.895669, 0.725714, 0.583102, 0.465496, 0.373355,
4608  0.304702, 0.250809, 0.209474, 0.178074, 0.153022, 0.133807,
4609  0.117703, 0.105319, 0.0954531, 0.0868741, 0.0799119, 0.0742518,
4610  0.0690535, 0.0653872, 0.0617938, 0.0587041, 0.0564029, 0.0541959,
4611  0.0524084, 0.0506571, 0.049136, 0.0480219, 0.0469249, 0.0459899,
4612  0.0452197, 0.0445257, 0.044041, 0.043426, 0.0433204, 0.0434195,
4613  0.0430451, 0.0432994, 0.0435755, 0.0439808, 0.0445059, 0.0451384,
4614  0.0457924, 0.0469599, 0.0480508, 0.0493881, 0.0506086, 0.0523276,
4615  0.0542688, 0.0561856, 0.0590042, 0.0616009, 0.0650734, 0.0692445,
4616  0.074288, 0.0798711, 0.0866366, 0.0949868, 0.105365, 0.11809,
4617  0.133535, 0.153711, 0.178079, 0.209957, 0.249988, 0.303549,
4618  0.374847, 0.465428, 0.583541, 0.729012, 0.896161, 1.04925,
4619  1.14651, 1.05223, 0.78641, 0.619742, 0.629915, 0.806135,
4620  1.07342, 1.16055, 1.07429, 0.906227, 0.731098, 0.585005,
4621  0.465988, 0.374523, 0.303602, 0.250333, 0.209162, 0.177326,
4622  0.153156, 0.132658, 0.117675, 0.104917, 0.0946497, 0.0860997,
4623  0.0795302, 0.074028, 0.069063, 0.0649403, 0.0611059, 0.0588757,
4624  0.0564414, 0.0541685, 0.0523054, 0.0504027, 0.0492474, 0.0479166,
4625  0.0467289, 0.0458347, 0.0450759, 0.0445325, 0.0440189, 0.0438416,
4626  0.0434027, 0.0432285, 0.0431553, 0.0432891, 0.0435999, 0.0438107,
4627  0.044478, 0.0451522, 0.0458202, 0.0466469, 0.0477035, 0.0490838,
4628  0.0506887, 0.0521274, 0.0538013, 0.0560049, 0.0585497, 0.0615769,
4629  0.0649571, 0.0687637, 0.0738289, 0.0797426, 0.0863487, 0.0947378,
4630  0.10506, 0.117394, 0.133133, 0.153064, 0.177756, 0.209532,
4631  0.250593, 0.303782, 0.376474, 0.467605, 0.582992, 0.734591,
4632  0.903062, 1.06867, 1.15958, 1.07297, 0.801849, 0.632504,
4633  0.64233, 0.813292, 1.09424, 1.17772, 1.08164, 0.911257,
4634  0.742407, 0.589146, 0.46823, 0.375457, 0.305714, 0.250862,
4635  0.209104, 0.177952, 0.152708, 0.132307, 0.117406, 0.105009,
4636  0.0940091, 0.0861046, 0.078983, 0.0729821, 0.0687648, 0.0647264,
4637  0.0613237, 0.0584349, 0.0557978, 0.0539691, 0.0516507, 0.0503551,
4638  0.0487833, 0.0479212, 0.0467731, 0.0457478, 0.0447503, 0.0442546,
4639  0.0437646, 0.0434676, 0.0431473, 0.0428666, 0.0429967, 0.0429917,
4640  0.0435972, 0.0438706, 0.0443652, 0.0450187, 0.0456174, 0.0466717,
4641  0.0477458, 0.0488733, 0.0503848, 0.0519295, 0.0536442, 0.0556834,
4642  0.058327, 0.0613877, 0.0643642, 0.0686577, 0.073212, 0.0788427,
4643  0.0860108, 0.094316, 0.1045, 0.117277, 0.132745, 0.152811,
4644  0.177508, 0.209714, 0.252437, 0.304803, 0.376392, 0.468669,
4645  0.59103, 0.736661, 0.915703, 1.08475, 1.17726, 1.09694,
4646  0.816201, 0.640428, 0.651928, 0.831301, 1.11441, 1.19971,
4647  1.0921, 0.922467, 0.745256, 0.594679, 0.469107, 0.377822,
4648  0.306407, 0.252517, 0.20917, 0.178671, 0.152579, 0.132755,
4649  0.116975, 0.104133, 0.0943931, 0.0856337, 0.0785037, 0.0727632,
4650  0.0683446, 0.0640111, 0.0605294, 0.0581737, 0.0554966, 0.0533735,
4651  0.0517758, 0.0501145, 0.0487951, 0.0474106, 0.046468, 0.0454809,
4652  0.0447106, 0.0443484, 0.0435068, 0.043413, 0.0431309, 0.043103,
4653  0.0427961, 0.0430523, 0.0433978, 0.0436147, 0.044128, 0.0447358,
4654  0.0455971, 0.0461866, 0.0475326, 0.048924, 0.050092, 0.0518036,
4655  0.0535294, 0.0555946, 0.0582553, 0.0609363, 0.0642376, 0.0682806,
4656  0.0733492, 0.0786013, 0.085384, 0.0940167, 0.104673, 0.117464,
4657  0.13263, 0.152123, 0.17787, 0.210235, 0.251155, 0.306405,
4658  0.378135, 0.471266, 0.593348, 0.746278, 0.923767, 1.09627,
4659  1.19196, 1.1133, 0.831087, 0.652503, 0.663352, 0.84147,
4660  1.13207, 1.21622, 1.11278, 0.927634, 0.749606, 0.597108,
4661  0.473572, 0.380809, 0.306784, 0.252318, 0.210072, 0.177842,
4662  0.152303, 0.133092, 0.116739, 0.103862, 0.0934318, 0.0850656,
4663  0.0785422, 0.0729359, 0.0679435, 0.0640229, 0.0605824, 0.0582751,
4664  0.0554577, 0.0534757, 0.0515505, 0.0498739, 0.0487818, 0.0474125,
4665  0.0463365, 0.0453337, 0.0449451, 0.0440147, 0.0436106, 0.0430458,
4666  0.0430047, 0.0428895, 0.0428327, 0.0430462, 0.0433379, 0.0436803,
4667  0.0443407, 0.0446717, 0.0455747, 0.046367, 0.0474217, 0.0485172,
4668  0.0499909, 0.0516427, 0.0534086, 0.0553971, 0.0579133, 0.0608631,
4669  0.0641964, 0.0678905, 0.0727163, 0.0785194, 0.0853272, 0.0939973,
4670  0.104205, 0.116474, 0.132821, 0.152227, 0.177067, 0.209864,
4671  0.252231, 0.306771, 0.377637, 0.472947, 0.597153, 0.748691,
4672  0.934074, 1.11434, 1.22236, 1.12894, 0.843415, 0.660457,
4673  0.673879, 0.861931, 1.14939, 1.23925, 1.12508, 0.942707,
4674  0.760691, 0.597161, 0.47559, 0.379004, 0.306472, 0.252671,
4675  0.209937, 0.177825, 0.152602, 0.132173, 0.116517, 0.103782,
4676  0.0935656, 0.0850965, 0.078392, 0.0727041, 0.0678535, 0.0639509,
4677  0.0607239, 0.0577059, 0.0555393, 0.0531943, 0.0513205, 0.0497126,
4678  0.0486106, 0.0473115, 0.0462213, 0.0453394, 0.044581, 0.0441707,
4679  0.0435389, 0.0433291, 0.0429349, 0.0429292, 0.0430058, 0.0430302,
4680  0.0430916, 0.0435301, 0.044303, 0.0446008, 0.0452635, 0.0464048,
4681  0.047549, 0.0486819, 0.049655, 0.0515142, 0.0531969, 0.0552781,
4682  0.0578061, 0.0602903, 0.0637465, 0.0678832, 0.072637, 0.0781876,
4683  0.0850736, 0.0935614, 0.103508, 0.116257, 0.132589, 0.152142,
4684  0.177731, 0.209859, 0.252393, 0.308231, 0.381491, 0.475574,
4685  0.598938, 0.756733, 0.941879, 1.12353, 1.23886, 1.15377,
4686  0.861279, 0.672903, 0.685726, 0.874129, 1.17568, 1.2524,
4687  1.14226, 0.952216, 0.763779, 0.60293, 0.477717, 0.381918,
4688  0.308023, 0.253045, 0.211245, 0.177386, 0.151826, 0.132152,
4689  0.115734, 0.103456, 0.0927527, 0.0849394, 0.0778422, 0.0722305,
4690  0.0676377, 0.0640988, 0.0606087, 0.0573936, 0.0550966, 0.0530261,
4691  0.0512321, 0.049769, 0.0484817, 0.0471529, 0.0460101, 0.0454858,
4692  0.0446168, 0.0439415, 0.0435881, 0.0430321, 0.0430287, 0.0425074,
4693  0.0427122, 0.0429848, 0.0432121, 0.0433364, 0.0440426, 0.044621,
4694  0.0455091, 0.0464539, 0.0472959, 0.0482648, 0.0495673, 0.0512568,
4695  0.0530875, 0.0550973, 0.0575907, 0.0602884, 0.063573, 0.0677875,
4696  0.0723373, 0.0779874, 0.0851194, 0.09306, 0.103348, 0.116264,
4697  0.131335, 0.152042, 0.177616, 0.210325, 0.252268, 0.308797,
4698  0.381392, 0.479109, 0.604821, 0.764126, 0.951275, 1.14121,
4699  1.25262, 1.17181, 0.876562, 0.680628, 0.696346, 0.888718,
4700  1.19715, 1.27655, 1.15877, 0.960655, 0.773385, 0.604307,
4701  0.482491, 0.381831, 0.307894, 0.253154, 0.210027, 0.17736,
4702  0.15144, 0.132119, 0.115652, 0.103573, 0.092864, 0.0844776,
4703  0.0778406, 0.072054, 0.067603, 0.0634216, 0.0599449, 0.0571816,
4704  0.0551519, 0.0533163, 0.0515318, 0.049941, 0.0485702, 0.0472741,
4705  0.0461958, 0.0451899, 0.0444704, 0.043834, 0.0436369, 0.0431133,
4706  0.0429112, 0.042843, 0.0426642, 0.0429772, 0.0432292, 0.0434637,
4707  0.0439179, 0.0445181, 0.0454484, 0.0462675, 0.0471506, 0.0484829,
4708  0.049634, 0.05129, 0.0531115, 0.05488, 0.0573543, 0.0600726,
4709  0.0634006, 0.0675691, 0.072049, 0.0777506, 0.0844963, 0.0930005,
4710  0.103129, 0.116502, 0.132251, 0.151729, 0.17753, 0.210491,
4711  0.253057, 0.310197, 0.38323, 0.479372, 0.607635, 0.770243,
4712  0.959896, 1.15136, 1.27288, 1.19012, 0.896695, 0.693684,
4713  0.706115, 0.908336, 1.21368, 1.29244, 1.16627, 0.970763,
4714  0.776446, 0.611429, 0.484257, 0.385567, 0.309855, 0.254119,
4715  0.210648, 0.176889, 0.152174, 0.132138, 0.115783, 0.103136,
4716  0.0928114, 0.0841154, 0.0776389, 0.0719377, 0.0668861, 0.0635379,
4717  0.0601481, 0.0575732, 0.0549936, 0.0528762, 0.0512649, 0.0496813,
4718  0.0481523, 0.0469195, 0.046319, 0.0450805, 0.0444799, 0.0439877,
4719  0.0434451, 0.0431835, 0.0428716, 0.0428258, 0.0428792, 0.0429688,
4720  0.0430569, 0.0435873, 0.0438329, 0.044663, 0.0451949, 0.0460837,
4721  0.0472211, 0.0481576, 0.0498117, 0.0512023, 0.0530288, 0.0549448,
4722  0.0575434, 0.060142, 0.0629358, 0.0671935, 0.0718633, 0.0774879,
4723  0.0849607, 0.0924557, 0.102785, 0.115571, 0.13196, 0.15183,
4724  0.177742, 0.209867, 0.253353, 0.310606, 0.384839, 0.483094,
4725  0.610545, 0.777575, 0.97042, 1.16993, 1.28748, 1.21956,
4726  0.907924, 0.705306, 0.715476, 0.925281, 1.2316, 1.30898,
4727  1.18258, 0.982522, 0.786402, 0.615136, 0.485298, 0.385362,
4728  0.31035, 0.254607, 0.210187, 0.177576, 0.151385, 0.131153,
4729  0.115055, 0.102704, 0.0921659, 0.0846465, 0.077131, 0.0717703,
4730  0.0670734, 0.0632451, 0.0598671, 0.0572151, 0.0551256, 0.0528587,
4731  0.0513632, 0.049472, 0.0482975, 0.0469885, 0.0461066, 0.0454301,
4732  0.0447217, 0.0441379, 0.0434237, 0.0432681, 0.0430069, 0.04292,
4733  0.0428274, 0.0430607, 0.043148, 0.0435305, 0.04385, 0.0446305,
4734  0.045336, 0.0463548, 0.0469618, 0.0483685, 0.0496588, 0.0510121,
4735  0.0531134, 0.0547401, 0.0573204, 0.059983, 0.0634567, 0.0671214,
4736  0.0718995, 0.0775943, 0.0841283, 0.0923821, 0.10233, 0.115443,
4737  0.131211, 0.15202, 0.178151, 0.210575, 0.254594, 0.310772,
4738  0.38779, 0.485275, 0.615479, 0.778791, 0.97996, 1.18508,
4739  1.31443, 1.23951, 0.927637, 0.715544, 0.726171, 0.939568,
4740  1.25703, 1.33025, 1.20522, 0.992936, 0.789918, 0.620569,
4741  0.48977, 0.389079, 0.312397, 0.254992, 0.210819, 0.177663,
4742  0.15165, 0.132008, 0.115661, 0.102705, 0.0922021, 0.0839099,
4743  0.0771371, 0.0716807, 0.0670474, 0.0632165, 0.0599239, 0.0570081,
4744  0.0547698, 0.0531538, 0.0511383, 0.0495905, 0.0481832, 0.0472375,
4745  0.0462232, 0.0452284, 0.0446214, 0.0439793, 0.0435804, 0.043336,
4746  0.0429253, 0.0428624, 0.0430165, 0.0429757, 0.0432388, 0.0434721,
4747  0.043964, 0.0445173, 0.0452692, 0.0463842, 0.0473119, 0.0481938,
4748  0.0495951, 0.0511524, 0.0527844, 0.0549456, 0.0572887, 0.059758,
4749  0.0631261, 0.0668705, 0.0716593, 0.0773133, 0.0840037, 0.0924278,
4750  0.102853, 0.115109, 0.131075, 0.15163, 0.177011, 0.210853,
4751  0.25454, 0.31107, 0.387478, 0.487116, 0.619402, 0.787542,
4752  0.989428, 1.20194, 1.33056, 1.25754, 0.934558, 0.727788,
4753  0.740886, 0.96054, 1.27854, 1.35135, 1.21869, 1.00569,
4754  0.797094, 0.624809, 0.493069, 0.38763, 0.312241, 0.255759,
4755  0.211538, 0.178019, 0.151831, 0.13088, 0.11522, 0.102347,
4756  0.0928636, 0.0837512, 0.0770765, 0.0716235, 0.0671115, 0.0630792,
4757  0.0595922, 0.0572552, 0.0549921, 0.0526166, 0.0512408, 0.0495151,
4758  0.0483601, 0.0473073, 0.0461584, 0.0453302, 0.0446168, 0.0439861,
4759  0.043458, 0.0431667, 0.0431301, 0.0426321, 0.0429143, 0.0431618,
4760  0.0432357, 0.0437028, 0.0439888, 0.0445611, 0.0454057, 0.0463201,
4761  0.047098, 0.0482815, 0.0497454, 0.0511203, 0.0529693, 0.0545464,
4762  0.0568773, 0.0599201, 0.06299, 0.0673098, 0.0715922, 0.0771192,
4763  0.0840117, 0.0919645, 0.102353, 0.115284, 0.131258, 0.151241,
4764  0.176664, 0.211572, 0.254921, 0.312801, 0.387089, 0.487692,
4765  0.6223, 0.797315, 1.00425, 1.21102, 1.3416, 1.28023,
4766  0.957638, 0.739395, 0.748585, 0.975914, 1.30432, 1.37005,
4767  1.23185, 1.01234, 0.802116, 0.627429, 0.491059, 0.392602,
4768  0.311732, 0.255046, 0.21161, 0.178601, 0.151175, 0.13157,
4769  0.115364, 0.102304, 0.0918532, 0.0832765, 0.0770651, 0.0711106,
4770  0.0665708, 0.0631513, 0.0599395, 0.057323, 0.0546993, 0.0531321,
4771  0.0513221, 0.0497499, 0.0484112, 0.0471327, 0.046123, 0.0452803,
4772  0.0446767, 0.0440735, 0.0438473, 0.0433044, 0.0432178, 0.0432986,
4773  0.0429947, 0.0431648, 0.043439, 0.0438634, 0.0441021, 0.0447739,
4774  0.0452631, 0.0463941, 0.0471201, 0.0484234, 0.049872, 0.0512546,
4775  0.0529243, 0.0548083, 0.0573226, 0.0597821, 0.0628596, 0.0669338,
4776  0.0712544, 0.0771135, 0.0836239, 0.0916137, 0.10228, 0.115416,
4777  0.13115, 0.151572, 0.177546, 0.210991, 0.255204, 0.3122,
4778  0.389304, 0.492104, 0.626266, 0.799088, 1.01051, 1.22854,
4779  1.37323, 1.30347, 0.972925, 0.749481, 0.762247, 0.990675,
4780  1.32026, 1.39544, 1.24112, 1.02143, 0.806489, 0.634071,
4781  0.494178, 0.390887, 0.313396, 0.256796, 0.211377, 0.177902,
4782  0.151915, 0.131041, 0.115226, 0.102347, 0.0923958, 0.0837238,
4783  0.0767634, 0.071265, 0.0671065, 0.0633061, 0.0598633, 0.0569417,
4784  0.0548072, 0.0530471, 0.0509751, 0.0496817, 0.0481805, 0.047183,
4785  0.0464009, 0.0456761, 0.0447728, 0.0443404, 0.0437093, 0.0435785,
4786  0.0432266, 0.043087, 0.0432609, 0.0433886, 0.0435095, 0.0437238,
4787  0.0441043, 0.0449596, 0.0456685, 0.0461161, 0.0472268, 0.0485465,
4788  0.04983, 0.0511131, 0.0529845, 0.0548567, 0.0570561, 0.0599037,
4789  0.0629736, 0.0668575, 0.0715259, 0.0771196, 0.0837215, 0.091878,
4790  0.102279, 0.115766, 0.131009, 0.151279, 0.177958, 0.21204,
4791  0.256796, 0.315096, 0.391722, 0.495387, 0.633232, 0.807389,
4792  1.02265, 1.2402, 1.39238, 1.32748, 0.990522, 0.758986,
4793  0.768481, 1.00805, 1.35229, 1.41437, 1.25818, 1.03045,
4794  0.813513, 0.637, 0.496516, 0.392824, 0.31617, 0.256489,
4795  0.212037, 0.177964, 0.151521, 0.131106, 0.115053, 0.102281,
4796  0.092305, 0.0834885, 0.0768401, 0.0709932, 0.0664797, 0.062768,
4797  0.0600921, 0.056899, 0.0551519, 0.0529281, 0.0512401, 0.0496817,
4798  0.0484665, 0.0473023, 0.0464642, 0.0453569, 0.0448711, 0.0444685,
4799  0.0438656, 0.0435343, 0.0432929, 0.043132, 0.0432685, 0.043267,
4800  0.0433677, 0.0438809, 0.0443148, 0.0449905, 0.0454778, 0.046277,
4801  0.0473386, 0.048582, 0.0498067, 0.0510544, 0.0527123, 0.0548148,
4802  0.0571373, 0.0599571, 0.0628649, 0.0669918, 0.0710637, 0.0768374,
4803  0.0834855, 0.0916137, 0.102239, 0.114943, 0.131307, 0.151368,
4804  0.177737, 0.212557, 0.255849, 0.315741, 0.392995, 0.498506,
4805  0.636946, 0.814054, 1.03073, 1.26039, 1.41293, 1.34742,
4806  1.00728, 0.773979, 0.780801, 1.02528, 1.37114, 1.43553,
4807  1.27005, 1.03864, 0.821238, 0.640016, 0.501507, 0.394402,
4808  0.315582, 0.25695, 0.21281, 0.177838, 0.151434, 0.130812,
4809  0.114969, 0.102052, 0.0913098, 0.0834813, 0.0767955, 0.0710313,
4810  0.0665167, 0.0629541, 0.0598419, 0.0573795, 0.0546627, 0.0529026,
4811  0.0510307, 0.0495726, 0.0485511, 0.0475102, 0.0466503, 0.0456284,
4812  0.0449139, 0.0444117, 0.0439484, 0.0437413, 0.0433459, 0.0435747,
4813  0.0432887, 0.0435431, 0.0436655, 0.0439842, 0.0443747, 0.0450328,
4814  0.0456593, 0.0464528, 0.0475948, 0.048529, 0.0497179, 0.0511192,
4815  0.0530093, 0.0552156, 0.0571919, 0.0598659, 0.0629995, 0.0667683,
4816  0.071114, 0.0768092, 0.0834477, 0.0920919, 0.10186, 0.115067,
4817  0.13081, 0.151654, 0.178225, 0.211962, 0.256892, 0.315881,
4818  0.394742, 0.499356, 0.640241, 0.818706, 1.03372, 1.27209,
4819  1.43678, 1.36847, 1.02368, 0.785724};
4820 
4824 static std::unique_ptr<InterpolateDataLinear<double>>
4826  pipi_pipi_same_interpolation = nullptr;
4827 static std::unique_ptr<InterpolateData2DSpline>
4828  pipi_pipi_same_dsigma_dk_interpolation = nullptr;
4829 static std::unique_ptr<InterpolateData2DSpline>
4830  pipi_pipi_same_dsigma_dtheta_interpolation = nullptr;
4832 
4834 const std::initializer_list<double> BREMS_PIPI_PIPI_SAME_SIG = {
4835  0.00108315, 0.00261623, 0.00502433, 0.00833812, 0.012844, 0.0184423,
4836  0.0251933, 0.0330033, 0.0419669, 0.0517941, 0.0665652, 0.0860393,
4837  0.106512, 0.128085, 0.150686, 0.173916, 0.197277, 0.222407,
4838  0.248285, 0.274623, 0.300511, 0.327663, 0.354919, 0.381508,
4839  0.409898, 0.447871, 0.486956, 0.525833, 0.568403, 0.607199,
4840  0.644578, 0.682602, 0.719988, 0.754665, 0.788745, 0.827828,
4841  0.863295, 0.896041, 0.929288, 0.961244, 0.992118, 1.02634,
4842  1.06631, 1.10319, 1.143, 1.17567, 1.21441, 1.25066,
4843  1.28315, 1.31635, 1.35097, 1.37607, 1.40841, 1.43973,
4844  1.46446, 1.49193, 1.52135, 1.54957, 1.57185, 1.60037,
4845  1.63059, 1.66865, 1.69342, 1.72903, 1.75797, 1.7783,
4846  1.80308, 1.837, 1.85311, 1.88327, 1.91168, 1.94006,
4847  1.96478, 1.98658, 2.01305, 2.0269, 2.05218, 2.07264,
4848  2.09878, 2.12631, 2.14816, 2.19451, 2.207, 2.23212,
4849  2.26856, 2.27974, 2.32925, 2.33553, 2.36595, 2.38177,
4850  2.4241, 2.41496, 2.44583, 2.48695, 2.49691, 2.52302,
4851  2.54172, 2.55723, 2.60439, 2.61532, 2.65443, 2.65688,
4852  2.69393, 2.73319, 2.74295, 2.76941, 2.81926, 2.83344,
4853  2.84923, 2.88309, 2.89451, 2.91877, 2.9608, 2.96293,
4854  2.98065, 3.0167, 3.064, 3.06374, 3.09148, 3.13319,
4855  3.15697, 3.19195, 3.1946, 3.26478, 3.25268, 3.30111,
4856  3.31161, 3.34127, 3.35611, 3.3916, 3.41723, 3.4639,
4857  3.47105, 3.50346, 3.52426, 3.51398, 3.57975, 3.59752,
4858  3.61318, 3.63998, 3.65868, 3.71552, 3.74265, 3.7707,
4859  3.81121, 3.87396, 3.85666, 3.88997, 3.87198, 3.94994,
4860  3.95866, 3.966, 4.00929, 4.05115, 4.06428, 4.08749,
4861  4.12569, 4.12816, 4.20878, 4.22362, 4.22597, 4.22332,
4862  4.29187, 4.28844, 4.32845, 4.35766, 4.388, 4.4211,
4863  4.47385, 4.50186};
4864 
4866 const std::initializer_list<double> BREMS_PIPI_PIPI_SAME_DIFF_SIG_K = {
4867  0.50097, 0.460975, 0.429746, 0.39626, 0.36659, 0.341116,
4868  0.315597, 0.292029, 0.269594, 0.249274, 0.229344, 0.210265,
4869  0.194458, 0.179735, 0.165147, 0.151459, 0.138364, 0.126857,
4870  0.11651, 0.106688, 0.0973833, 0.0890234, 0.0808254, 0.0735759,
4871  0.0669758, 0.0605513, 0.0545326, 0.049068, 0.0436749, 0.0392974,
4872  0.0348799, 0.0309242, 0.0272487, 0.0238583, 0.0207966, 0.018092,
4873  0.0155338, 0.0134549, 0.0112424, 0.00939608, 0.00769485, 0.00620897,
4874  0.0048218, 0.00356922, 0.0, 0.0, 0.0, 0.0,
4875  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4876  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4877  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4878  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4879  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4880  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4881  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4882  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4883  0.0, 0.0, 0.0, 0.0, 1.07732, 1.00301,
4884  0.923324, 0.852952, 0.798091, 0.739266, 0.682476, 0.636596,
4885  0.5874, 0.544675, 0.502584, 0.463893, 0.427644, 0.395984,
4886  0.365703, 0.338806, 0.31246, 0.287327, 0.263865, 0.244032,
4887  0.22357, 0.206366, 0.18792, 0.174091, 0.158495, 0.144135,
4888  0.130633, 0.11821, 0.107668, 0.0979565, 0.0878524, 0.0795312,
4889  0.0709979, 0.0641106, 0.0567188, 0.0506359, 0.0445646, 0.0392956,
4890  0.0342766, 0.0299186, 0.0255685, 0.0219089, 0.0185908, 0.015601,
4891  0.0128705, 0.0104217, 0.00827923, 0.00631027, 0.00446842, 0.0,
4892  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4893  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4894  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4895  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4896  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4897  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4898  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4899  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4900  0.0, 0.0, 1.93936, 1.78387, 1.61715, 1.52162,
4901  1.42311, 1.31749, 1.20424, 1.12796, 1.04872, 0.963747,
4902  0.897993, 0.833257, 0.769022, 0.715949, 0.659992, 0.611733,
4903  0.562665, 0.521972, 0.481369, 0.441011, 0.408817, 0.376936,
4904  0.347081, 0.320039, 0.29357, 0.267781, 0.24631, 0.225102,
4905  0.20382, 0.187029, 0.169919, 0.154213, 0.139461, 0.125966,
4906  0.113813, 0.102134, 0.0912921, 0.0814001, 0.0719443, 0.0641134,
4907  0.0563771, 0.049204, 0.0428778, 0.0367933, 0.0316406, 0.0267245,
4908  0.0224767, 0.0184969, 0.0150772, 0.0119958, 0.00925359, 0.00677941,
4909  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4910  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4911  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4912  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4913  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4914  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4915  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4916  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4917  3.00574, 2.83644, 2.6549, 2.46024, 2.25152, 2.05291,
4918  1.93039, 1.79902, 1.65815, 1.52127, 1.42775, 1.32748,
4919  1.22282, 1.14142, 1.05415, 0.975455, 0.905251, 0.835863,
4920  0.77304, 0.712859, 0.65719, 0.606405, 0.55746, 0.512523,
4921  0.472944, 0.43574, 0.402584, 0.369644, 0.336606, 0.308212,
4922  0.281339, 0.256619, 0.234677, 0.21281, 0.191952, 0.174862,
4923  0.158556, 0.14193, 0.12692, 0.11364, 0.100839, 0.0899953,
4924  0.0789784, 0.0693839, 0.0603732, 0.0522475, 0.0445749, 0.0379361,
4925  0.0322054, 0.0265593, 0.0218496, 0.0175167, 0.0137663, 0.0103417,
4926  0.00732232, 0.0, 0.0, 0.0, 0.0, 0.0,
4927  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4928  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4929  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4930  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4931  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4932  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4933  0.0, 0.0, 0.0, 0.0, 4.58664, 4.07862,
4934  3.73944, 3.539, 3.32407, 3.09361, 2.84649, 2.58152,
4935  2.43218, 2.27457, 2.10556, 1.92435, 1.80223, 1.67327,
4936  1.53498, 1.43126, 1.32847, 1.22674, 1.1404, 1.05026,
4937  0.975607, 0.899537, 0.833047, 0.76847, 0.70579, 0.653444,
4938  0.602612, 0.553043, 0.506629, 0.465692, 0.426028, 0.391203,
4939  0.358745, 0.326318, 0.297748, 0.269816, 0.244218, 0.220582,
4940  0.199226, 0.179393, 0.160823, 0.144029, 0.127646, 0.113428,
4941  0.100156, 0.0879305, 0.076426, 0.0664229, 0.0568703, 0.0481362,
4942  0.0407351, 0.0336681, 0.0275536, 0.0220812, 0.0173613, 0.0131583,
4943  0.00938007, 0.0, 0.0, 0.0, 0.0, 0.0,
4944  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4945  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4946  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4947  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4948  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4949  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4950  0.0, 0.0, 6.51873, 6.00238, 5.44871, 4.85502,
4951  4.49135, 4.24068, 3.9719, 3.6837, 3.37467, 3.05838,
4952  2.88485, 2.69879, 2.49927, 2.29165, 2.14596, 1.98974,
4953  1.82223, 1.70464, 1.58196, 1.46372, 1.35914, 1.25315,
4954  1.16386, 1.07484, 0.994305, 0.916771, 0.841313, 0.7759,
4955  0.712363, 0.653101, 0.600894, 0.553824, 0.508149, 0.465218,
4956  0.424989, 0.389373, 0.35035, 0.319189, 0.290625, 0.261173,
4957  0.237887, 0.212265, 0.190128, 0.169793, 0.151458, 0.133849,
4958  0.11772, 0.103125, 0.0901057, 0.0775935, 0.0660594, 0.0561473,
4959  0.0469782, 0.038719, 0.0315107, 0.0251171, 0.0195829, 0.014568,
4960  0.0101343, 0.0, 0.0, 0.0, 0.0, 0.0,
4961  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4962  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4963  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4964  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4965  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4966  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4967  8.54791, 8.00692, 7.42683, 6.80482, 6.13786, 5.43694,
4968  5.1641, 4.87153, 4.55782, 4.22144, 3.86075, 3.55752,
4969  3.3397, 3.10614, 2.8557, 2.63473, 2.46091, 2.27454,
4970  2.09637, 1.95534, 1.80413, 1.6761, 1.55102, 1.43356,
4971  1.32077, 1.22092, 1.12441, 1.04203, 0.961072, 0.883366,
4972  0.810379, 0.743552, 0.68473, 0.632233, 0.575871, 0.526504,
4973  0.48326, 0.438787, 0.398114, 0.362752, 0.329341, 0.296549,
4974  0.266622, 0.238396, 0.214764, 0.190583, 0.16941, 0.149327,
4975  0.130704, 0.114223, 0.0997325, 0.0852344, 0.0726154, 0.0612113,
4976  0.0509199, 0.0417591, 0.0333831, 0.0262637, 0.0198783, 0.0144913,
4977  0.00971437, 0.0, 0.0, 0.0, 0.0, 0.0,
4978  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4979  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4980  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4981  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4982  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4983  0.0, 0.0, 0.0, 0.0, 10.7686, 10.1972,
4984  9.58455, 8.92761, 8.22319, 7.46787, 6.65796, 6.12135,
4985  5.78773, 5.43, 5.04641, 4.63511, 4.19483, 3.95791,
4986  3.70387, 3.43147, 3.13939, 2.94169, 2.73027, 2.50356,
4987  2.33148, 2.15825, 1.98934, 1.84881, 1.70302, 1.58238,
4988  1.46019, 1.3533, 1.25107, 1.15211, 1.05752, 0.972186,
4989  0.894809, 0.822837, 0.753436, 0.690189, 0.635048, 0.579782,
4990  0.527378, 0.479936, 0.435581, 0.396021, 0.358914, 0.324416,
4991  0.289872, 0.260013, 0.231611, 0.206943, 0.182321, 0.161356,
4992  0.140593, 0.121438, 0.105111, 0.0899767, 0.0753192, 0.0629192,
4993  0.0514986, 0.0417179, 0.0329549, 0.0251983, 0.0185474, 0.0127987,
4994  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4995  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4996  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4997  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4998  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
4999  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5000  0.0, 0.0, 12.9065, 12.3219, 11.6951, 11.0229,
5001  10.3022, 9.52944, 8.7008, 7.81227, 7.04589, 6.67413,
5002  6.27549, 5.84805, 5.38971, 4.89826, 4.55815, 4.27004,
5003  3.9611, 3.62983, 3.37746, 3.15064, 2.90744, 2.69687,
5004  2.50873, 2.30779, 2.15208, 1.98513, 1.84033, 1.69195,
5005  1.56891, 1.44564, 1.33113, 1.22943, 1.13431, 1.04513,
5006  0.958442, 0.875, 0.809531, 0.736771, 0.674138, 0.615691,
5007  0.558126, 0.507143, 0.460983, 0.419219, 0.377261, 0.338509,
5008  0.304619, 0.272035, 0.241164, 0.214687, 0.187812, 0.165371,
5009  0.143766, 0.123314, 0.105605, 0.088515, 0.0745541, 0.061607,
5010  0.0498042, 0.0393708, 0.0302634, 0.0223758, 0.0156318, 0.0,
5011  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5012  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5013  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5014  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5015  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5016  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5017  15.2326, 14.6216, 13.9664, 13.2639, 12.5106, 11.7028,
5018  10.8367, 9.90802, 8.9122, 7.94331, 7.53473, 7.09662,
5019  6.62685, 6.12313, 5.58301, 5.1613, 4.83925, 4.49393,
5020  4.12366, 3.8205, 3.57555, 3.31289, 3.06738, 2.85588,
5021  2.62908, 2.43977, 2.24638, 2.08216, 1.92736, 1.77991,
5022  1.63226, 1.51431, 1.39352, 1.27748, 1.18073, 1.08045,
5023  0.996382, 0.913963, 0.840652, 0.76686, 0.699411, 0.636974,
5024  0.577923, 0.524567, 0.476058, 0.428134, 0.387082, 0.346212,
5025  0.312296, 0.275214, 0.245699, 0.215382, 0.188748, 0.16484,
5026  0.141164, 0.121286, 0.102248, 0.08553, 0.0705765, 0.0573197,
5027  0.0451378, 0.0347663, 0.0257868, 0.0180408, 0.0115587, 0.0,
5028  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5029  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5030  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5031  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5032  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5033  0.0, 0.0, 0.0, 0.0, 25.618, 16.8854,
5034  16.2192, 15.5049, 14.739, 13.9177, 13.037, 12.0927,
5035  11.0802, 9.99449, 8.89334, 8.42413, 7.92101, 7.38154,
5036  6.80308, 6.18282, 5.69746, 5.36287, 5.0041, 4.61941,
5037  4.28173, 3.9995, 3.69688, 3.40926, 3.16761, 2.90851,
5038  2.70284, 2.5013, 2.31942, 2.14597, 1.98321, 1.82035,
5039  1.68957, 1.56166, 1.43693, 1.31357, 1.20669, 1.11131,
5040  1.02107, 0.933599, 0.856452, 0.779907, 0.710534, 0.648169,
5041  0.586895, 0.530256, 0.48289, 0.432818, 0.389235, 0.347618,
5042  0.309134, 0.273604, 0.241334, 0.211087, 0.183266, 0.158434,
5043  0.135338, 0.114629, 0.0956804, 0.0788353, 0.0635418, 0.0500847,
5044  0.0384108, 0.0283959, 0.0199249, 0.0126447, 0.0, 0.0,
5045  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5046  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5047  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5048  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5049  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5050  0.0, 0.0, 41.5044, 27.7367, 18.5594, 17.8137,
5051  17.0141, 16.1567, 15.2373, 14.2515, 13.1945, 12.061,
5052  10.8457, 9.64379, 9.15497, 8.63083, 8.06881, 7.46617,
5053  6.81999, 6.30975, 5.92885, 5.52042, 5.08248, 4.70491,
5054  4.38654, 4.04516, 3.72959, 3.47104, 3.1938, 2.96852,
5055  2.74232, 2.54253, 2.35179, 2.1754, 1.99887, 1.84509,
5056  1.70816, 1.58127, 1.44784, 1.3262, 1.21832, 1.12103,
5057  1.02189, 0.943765, 0.855489, 0.781681, 0.706027, 0.644642,
5058  0.581531, 0.524277, 0.474351, 0.426275, 0.376065, 0.337841,
5059  0.299239, 0.264562, 0.231601, 0.201208, 0.17297, 0.147872,
5060  0.125077, 0.10386, 0.0851151, 0.0686494, 0.0542341, 0.0415192,
5061  0.0301087, 0.021035, 0.013347, 0.0, 0.0, 0.0,
5062  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5063  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5064  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5065  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5066  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5067  57.2738, 43.3687, 28.4587, 20.1429, 19.3219, 18.4415,
5068  17.4975, 16.4853, 15.4, 14.2362, 12.9884, 11.6503,
5069  10.4294, 9.89487, 9.32167, 8.70704, 8.048, 7.34133,
5070  6.8159, 6.38856, 5.93034, 5.439, 5.04453, 4.70179,
5071  4.33428, 4.01524, 3.75017, 3.46595, 3.22696, 2.97538,
5072  2.75977, 2.54633, 2.36172, 2.17517, 1.99397, 1.84172,
5073  1.7013, 1.56241, 1.43259, 1.30922, 1.21248, 1.10263,
5074  1.01302, 0.927093, 0.844324, 0.763588, 0.696189, 0.628445,
5075  0.569875, 0.508576, 0.457884, 0.409267, 0.362191, 0.323245,
5076  0.282871, 0.249076, 0.216176, 0.184913, 0.157995, 0.133553,
5077  0.111227, 0.0909797, 0.0729175, 0.0572478, 0.0436669, 0.031169,
5078  0.0213637, 0.0, 0.0, 0.0, 0.0, 0.0,
5079  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5080  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5081  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5082  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5083  0.0, 0.0, 0.0, 0.0, 74.2587, 59.9318,
5084  44.5696, 28.0972, 21.7646, 20.862, 19.8943, 18.8566,
5085  17.7439, 16.5508, 15.2714, 13.8997, 12.4287, 11.256,
5086  10.6459, 9.9916, 9.29004, 8.53779, 7.73117, 7.23252,
5087  6.78721, 6.30973, 5.79774, 5.41651, 5.05079, 4.65865,
5088  4.32171, 4.00251, 3.67281, 3.42877, 3.1671, 2.94239,
5089  2.70812, 2.51306, 2.3159, 2.12537, 1.95747, 1.81052,
5090  1.67891, 1.54023, 1.40868, 1.28327, 1.18642, 1.08589,
5091  0.984455, 0.899359, 0.819774, 0.742778, 0.668849, 0.606844,
5092  0.543615, 0.488561, 0.436346, 0.385983, 0.340334, 0.298931,
5093  0.262802, 0.227684, 0.19606, 0.166868, 0.140705, 0.115767,
5094  0.0950135, 0.07536, 0.0586615, 0.0439972, 0.0314068, 0.020881,
5095  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5096  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5097  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5098  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5099  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5100  0.0, 0.0, 91.0163, 76.4015, 60.7306, 43.9271,
5101  25.9094, 23.0683, 22.0874, 21.0357, 19.9079, 18.6987,
5102  17.402, 16.0117, 14.5209, 12.9223, 11.909, 11.2688,
5103  10.5823, 9.84623, 9.05694, 8.22578, 7.7617, 7.26409,
5104  6.73051, 6.16433, 5.77501, 5.35756, 4.90993, 4.57721,
5105  4.23757, 3.9066, 3.62076, 3.32756, 3.08744, 2.84636,
5106  2.63429, 2.43414, 2.24183, 2.06585, 1.91263, 1.76453,
5107  1.61943, 1.48649, 1.36106, 1.24465, 1.13908, 1.03451,
5108  0.942752, 0.858626, 0.777391, 0.704965, 0.635277, 0.569862,
5109  0.515105, 0.452678, 0.404264, 0.359753, 0.312677, 0.274509,
5110  0.236835, 0.203019, 0.17333, 0.144824, 0.119705, 0.0965775,
5111  0.0766978, 0.058797, 0.043402, 0.0304848, 0.0197143, 0.0,
5112  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5113  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5114  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5115  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5116  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5117  107.804, 92.9515, 77.0261, 59.9498, 41.6395, 25.2234,
5118  24.2386, 23.1827, 22.0504, 20.8363, 19.5345, 18.1386,
5119  16.6418, 15.0368, 13.3159, 12.5366, 11.8317, 11.0758,
5120  10.2653, 9.39618, 8.60669, 8.08767, 7.53113, 6.93438,
5121  6.37728, 5.97751, 5.54886, 5.11568, 4.78126, 4.42268,
5122  4.09702, 3.78719, 3.49724, 3.24399, 3.00203, 2.76839,
5123  2.55927, 2.35683, 2.16699, 1.99559, 1.83623, 1.69149,
5124  1.55791, 1.43066, 1.30496, 1.1881, 1.0859, 0.982327,
5125  0.896413, 0.810206, 0.732343, 0.659947, 0.593701, 0.530539,
5126  0.473917, 0.419466, 0.36919, 0.324719, 0.282842, 0.243553,
5127  0.208509, 0.17578, 0.146684, 0.120316, 0.0975288, 0.0758833,
5128  0.0577553, 0.0417467, 0.0287323, 0.0180016, 0.0, 0.0,
5129  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5130  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5131  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5132  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5133  0.0, 0.0, 0.0, 0.0, 124.771, 109.73,
5134  93.6029, 76.3101, 57.7676, 37.8851, 26.5968, 25.5156,
5135  24.3562, 23.1131, 21.7801, 20.3508, 18.8182, 17.1748,
5136  15.4127, 13.7927, 13.0917, 12.3401, 11.5341, 10.6699,
5137  9.74327, 9.04001, 8.46358, 7.8455, 7.18275, 6.66433,
5138  6.23011, 5.76451, 5.33519, 4.94958, 4.53611, 4.24461,
5139  3.94468, 3.65997, 3.36744, 3.11414, 2.86273, 2.63704,
5140  2.43393, 2.24693, 2.07489, 1.9089, 1.75327, 1.6103,
5141  1.47367, 1.34749, 1.2348, 1.11602, 1.01669, 0.925948,
5142  0.837954, 0.757022, 0.683307, 0.609442, 0.544, 0.487049,
5143  0.431255, 0.37849, 0.332974, 0.287727, 0.247708, 0.211118,
5144  0.177433, 0.147093, 0.119633, 0.0955709, 0.0740985, 0.055503,
5145  0.0394876, 0.0262352, 0.0, 0.0, 0.0, 0.0,
5146  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5147  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5148  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5149  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5150  0.0, 0.0, 141.424, 126.237, 109.952, 92.4907,
5151  73.7671, 53.6904, 32.1628, 27.6889, 26.5224, 25.2716,
5152  23.9303, 22.4922, 20.9501, 19.2966, 17.5236, 15.6225,
5153  14.3398, 13.5584, 12.7205, 11.8221, 10.8587, 9.82572,
5154  9.25761, 8.65701, 8.013, 7.32245, 6.88555, 6.42448,
5155  5.93009, 5.51805, 5.09807, 4.68936, 4.36089, 4.01946,
5156  3.74763, 3.4648, 3.19381, 2.94368, 2.71249, 2.51113,
5157  2.32239, 2.13974, 1.96394, 1.80276, 1.64661, 1.50233,
5158  1.37972, 1.26224, 1.14456, 1.03853, 0.945938, 0.856499,
5159  0.766842, 0.69616, 0.625949, 0.55938, 0.492578, 0.436145,
5160  0.382692, 0.336387, 0.28961, 0.248965, 0.209119, 0.177065,
5161  0.145514, 0.117517, 0.0929854, 0.0714238, 0.052376, 0.0359431,
5162  0.0230963, 0.0, 0.0, 0.0, 0.0, 0.0,
5163  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5164  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5165  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5166  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5167  157.376, 142.131, 125.784, 108.255, 89.4598, 69.3062,
5168  47.6962, 29.7829, 28.6013, 27.3343, 25.9757, 24.519,
5169  22.957, 21.2821, 19.4862, 17.5605, 15.4956, 14.6733,
5170  13.8529, 12.9733, 12.03, 11.0187, 10.1377, 9.54373,
5171  8.90682, 8.22388, 7.59115, 7.09013, 6.5529, 6.02538,
5172  5.61982, 5.18496, 4.80812, 4.44916, 4.11811, 3.81967,
5173  3.5335, 3.24925, 3.01752, 2.78582, 2.55785, 2.3656,
5174  2.17073, 1.9905, 1.8273, 1.68093, 1.53422, 1.4041,
5175  1.28297, 1.16718, 1.0612, 0.964258, 0.86815, 0.785089,
5176  0.703909, 0.635087, 0.561485, 0.49783, 0.439458, 0.385045,
5177  0.334347, 0.28895, 0.246399, 0.208513, 0.173595, 0.141502,
5178  0.113786, 0.0887968, 0.0666195, 0.0479931, 0.0318587, 0.0191995,
5179  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5180  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5181  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5182  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5183  0.0, 0.0, 0.0, 0.0, 173.425, 158.099,
5184  141.666, 124.045, 105.151, 84.8916, 63.1679, 39.8743,
5185  30.6388, 29.3835, 28.0374, 26.5941, 25.0465, 23.387,
5186  21.6076, 19.6996, 17.6537, 16.0069, 15.1631, 14.2585,
5187  13.2884, 12.2482, 11.1329, 10.4051, 9.7483, 9.04406,
5188  8.28892, 7.73332, 7.208, 6.64472, 6.17102, 5.7325,
5189  5.27556, 4.9183, 4.53521, 4.20551, 3.86228, 3.5902,
5190  3.31699, 3.0581, 2.81395, 2.59262, 2.39591, 2.20738,
5191  2.04346, 1.87107, 1.70246, 1.55485, 1.41512, 1.30196,
5192  1.17505, 1.06486, 0.968437, 0.87427, 0.787794, 0.703931,
5193  0.631732, 0.561609, 0.496151, 0.435527, 0.383149, 0.331287,
5194  0.285714, 0.242847, 0.203658, 0.168822, 0.136838, 0.10811,
5195  0.0828495, 0.061103, 0.0425238, 0.0273104, 0.0, 0.0,
5196  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5197  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5198  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5199  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5200  0.0, 0.0, 190.088, 174.669, 158.135, 140.407,
5201  121.397, 101.014, 79.1572, 55.7213, 33.1201, 31.8249,
5202  30.4361, 28.947, 27.3503, 25.6381, 23.8023, 21.8337,
5203  19.7229, 17.4596, 16.3355, 15.4073, 14.4119, 13.3447,
5204  12.2003, 11.1304, 10.4824, 9.7875, 9.0424, 8.3223,
5205  7.81164, 7.26407, 6.69498, 6.23698, 5.74589, 5.31748,
5206  4.94371, 4.57546, 4.23874, 3.91471, 3.6091, 3.34951,
5207  3.09764, 2.84988, 2.62854, 2.419, 2.22233, 2.03749,
5208  1.86391, 1.71005, 1.56059, 1.42749, 1.29783, 1.18293,
5209  1.07589, 0.971564, 0.875024, 0.791999, 0.708066, 0.628053,
5210  0.559973, 0.494912, 0.435998, 0.376859, 0.325551, 0.27834,
5211  0.236967, 0.19666, 0.161505, 0.129346, 0.100647, 0.076606,
5212  0.0544623, 0.0366492, 0.0221144, 0.0, 0.0, 0.0,
5213  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5214  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5215  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5216  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5217  206.989, 191.402, 174.688, 156.767, 137.55, 116.945,
5218  94.8507, 71.1597, 45.7566, 33.7095, 32.3331, 30.8572,
5219  29.2747, 27.5778, 25.7583, 23.8073, 21.7153, 19.4722,
5220  17.5489, 16.6296, 15.644, 14.587, 13.4538, 12.2386,
5221  11.3992, 10.6856, 9.9204, 9.09993, 8.46221, 7.87962,
5222  7.25493, 6.71743, 6.23881, 5.72877, 5.36896, 4.98315,
5223  4.61825, 4.23652, 3.93963, 3.64123, 3.35826, 3.10096,
5224  2.85796, 2.63426, 2.43564, 2.2276, 2.04224, 1.87553,
5225  1.71122, 1.56629, 1.4333, 1.29986, 1.1836, 1.06978,
5226  0.967388, 0.868635, 0.785136, 0.69886, 0.622819, 0.550946,
5227  0.484689, 0.425666, 0.368347, 0.317168, 0.269605, 0.226958,
5228  0.188491, 0.15274, 0.12147, 0.0930315, 0.0683556, 0.0478889,
5229  0.0305381, 0.0, 0.0, 0.0, 0.0, 0.0,
5230  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5231  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5232  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5233  0.0, 0.0, 0.0, 0.0, 222.779, 207.112,
5234  190.313, 172.299, 152.984, 132.272, 110.064, 86.2516,
5235  60.7179, 35.3396, 33.9776, 32.5171, 30.9512, 29.2721,
5236  27.4716, 25.541, 23.4709, 21.2512, 18.871, 17.6454,
5237  16.6718, 15.6278, 14.5084, 13.308, 12.1587, 11.4394,
5238  10.6682, 9.84113, 9.033, 8.47356, 7.87369, 7.24717,
5239  6.77133, 6.26111, 5.80229, 5.39656, 4.99022, 4.61257,
5240  4.25537, 3.93279, 3.64142, 3.35851, 3.09044, 2.84738,
5241  2.62915, 2.41753, 2.21893, 2.0342, 1.86417, 1.69845,
5242  1.54461, 1.40887, 1.29126, 1.17489, 1.05987, 0.955414,
5243  0.865599, 0.770608, 0.691304, 0.611087, 0.541046, 0.474988,
5244  0.413599, 0.358879, 0.307223, 0.258757, 0.215658, 0.177836,
5245  0.142168, 0.111318, 0.084047, 0.0597537, 0.0399161, 0.0238268,
5246  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5247  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5248  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5249  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5250  0.0, 0.0, 235.739, 220.271, 203.685, 185.9,
5251  166.83, 146.382, 124.456, 100.946, 75.7367, 48.7055,
5252  36.2951, 34.7871, 33.1701, 31.4363, 29.5771, 27.5836,
5253  25.4461, 23.154, 20.6964, 18.6309, 17.6718, 16.6433,
5254  15.5405, 14.3579, 13.09, 12.202, 11.425, 10.5918,
5255  9.69843, 9.03957, 8.44873, 7.81519, 7.25755, 6.74377,
5256  6.19837, 5.78052, 5.33248, 4.95788, 4.57446, 4.22609,
5257  3.89424, 3.63411, 3.35416, 3.08093, 2.83136, 2.60116,
5258  2.38611, 2.18618, 2.01936, 1.8518, 1.67742, 1.54642,
5259  1.41327, 1.27011, 1.15281, 1.04249, 0.939978, 0.845274,
5260  0.758961, 0.673219, 0.598484, 0.527043, 0.461445, 0.400504,
5261  0.344078, 0.293224, 0.246197, 0.202997, 0.165658, 0.130519,
5262  0.099846, 0.0736168, 0.0509248, 0.0320374, 0.0, 0.0,
5263  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5264  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5265  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5266  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5267  249.769, 234.328, 217.771, 200.017, 180.98, 160.567,
5268  138.68, 115.21, 90.0443, 63.06, 37.8288, 36.3589,
5269  34.7828, 33.0927, 31.2805, 29.3374, 27.2538, 25.0196,
5270  22.624, 20.0553, 18.8365, 17.7938, 16.6757, 15.4769,
5271  14.1914, 12.9997, 12.2349, 11.4149, 10.5356, 9.69091,
5272  9.06611, 8.39616, 7.71094, 7.19186, 6.63527, 6.14674,
5273  5.70722, 5.28293, 4.9026, 4.54615, 4.21582, 3.90158,
5274  3.58634, 3.27547, 3.03387, 2.80102, 2.57591, 2.36515,
5275  2.16214, 1.98651, 1.82636, 1.66702, 1.51197, 1.38052,
5276  1.25427, 1.13555, 1.01864, 0.926907, 0.829265, 0.736637,
5277  0.655495, 0.580205, 0.508747, 0.444748, 0.385109, 0.3285,
5278  0.277785, 0.231204, 0.188884, 0.152315, 0.118677, 0.0887965,
5279  0.0629702, 0.0415285, 0.0242717, 0.0, 0.0, 0.0,
5280  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5281  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5282  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5283  0.0, 0.0, 0.0, 0.0, 266.676, 251.084,
5284  234.365, 216.438, 197.216, 176.604, 154.503, 130.804,
5285  105.393, 78.1458, 48.9293, 38.3031, 36.7236, 35.0299,
5286  33.2139, 31.2666, 29.1786, 26.9397, 24.5389, 21.9647,
5287  19.9487, 18.8819, 17.7381, 16.5116, 15.1964, 13.7862,
5288  12.9106, 12.1073, 11.246, 10.3224, 9.64254, 8.98346,
5289  8.27675, 7.69878, 7.16157, 6.60265, 6.12583, 5.61454,
5290  5.24855, 4.86721, 4.47809, 4.11672, 3.8185, 3.5397,
5291  3.26479, 3.00033, 2.75749, 2.54248, 2.31892, 2.13445,
5292  1.96169, 1.78125, 1.62968, 1.48824, 1.34658, 1.22717,
5293  1.10846, 0.99348, 0.896838, 0.797459, 0.716198, 0.633294,
5294  0.558263, 0.491654, 0.425435, 0.365402, 0.311729, 0.261906,
5295  0.215041, 0.174338, 0.137938, 0.104905, 0.0762555, 0.0522793,
5296  0.0323491, 0.0, 0.0, 0.0, 0.0, 0.0,
5297  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5298  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5299  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5300  0.0, 0.0, 279.668, 264.18, 247.572, 229.763,
5301  210.668, 190.193, 168.238, 144.697, 119.454, 92.3871,
5302  63.3641, 40.0889, 38.4994, 36.795, 34.9675, 33.0078,
5303  30.9066, 28.6535, 26.2376, 23.6471, 20.8694, 19.7909,
5304  18.6643, 17.4563, 16.1609, 14.7719, 13.5827, 12.7709,
5305  11.9005, 10.9672, 10.1318, 9.50009, 8.82275, 8.15415,
5306  7.60302, 7.01206, 6.50598, 6.02038, 5.57051, 5.15515,
5307  4.77004, 4.39315, 4.08824, 3.78108, 3.47568, 3.18886,
5308  2.9654, 2.72968, 2.49555, 2.28758, 2.081, 1.91655,
5309  1.7439, 1.59286, 1.45342, 1.32324, 1.19594, 1.07675,
5310  0.970466, 0.865658, 0.779466, 0.692407, 0.60851, 0.535691,
5311  0.466708, 0.405837, 0.345173, 0.291789, 0.242472, 0.198254,
5312  0.158537, 0.122457, 0.0912146, 0.0639169, 0.0416557, 0.0,
5313  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5314  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5315  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5316  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5317  292.119, 276.721, 260.21, 242.506, 223.523, 203.167,
5318  181.341, 157.937, 132.842, 105.933, 77.0801, 46.1417,
5319  39.8443, 38.1854, 36.4067, 34.4994, 32.4542, 30.2613,
5320  27.9099, 25.3886, 22.685, 20.8648, 19.7475, 18.5495,
5321  17.2648, 15.8873, 14.4103, 13.5554, 12.6474, 11.6737,
5322  10.6297, 9.98724, 9.30806, 8.57981, 8.00407, 7.42357,
5323  6.86012, 6.40865, 5.93294, 5.49329, 5.04695, 4.65987,
5324  4.30308, 3.97263, 3.67326, 3.39966, 3.14067, 2.88826,
5325  2.65275, 2.44591, 2.23743, 2.04719, 1.87921, 1.70251,
5326  1.54734, 1.41796, 1.27866, 1.15573, 1.04609, 0.944195,
5327  0.839609, 0.751103, 0.661535, 0.582926, 0.512201, 0.443293,
5328  0.381112, 0.324864, 0.269935, 0.222933, 0.180203, 0.140598,
5329  0.106907, 0.0769774, 0.0516335, 0.0311169, 0.0, 0.0,
5330  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5331  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5332  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5333  0.0, 0.0, 0.0, 0.0, 305.675, 290.311,
5334  273.837, 256.172, 237.231, 216.921, 195.143, 171.791,
5335  146.752, 119.903, 91.114, 60.2444, 41.5128, 39.8544,
5336  38.0762, 36.1695, 34.125, 31.9327, 29.5821, 27.0615,
5337  24.3588, 21.7899, 20.6554, 19.4389, 18.1345, 16.7359,
5338  15.2361, 14.1253, 13.2917, 12.3979, 11.4396, 10.619,
5339  9.89296, 9.11447, 8.41545, 7.8352, 7.21301, 6.72945,
5340  6.2351, 5.78634, 5.33931, 4.95758, 4.58091, 4.23878,
5341  3.91206, 3.59468, 3.28732, 3.03992, 2.80096, 2.5696,
5342  2.37195, 2.1805, 2.00084, 1.82438, 1.66106, 1.50543,
5343  1.36709, 1.24141, 1.11801, 1.00555, 0.900276, 0.810844,
5344  0.714741, 0.631777, 0.554556, 0.482511, 0.416314, 0.356542,
5345  0.299956, 0.249407, 0.203895, 0.161496, 0.123748, 0.0899859,
5346  0.0631713, 0.0399623, 0.0, 0.0, 0.0, 0.0,
5347  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5348  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5349  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5350  0.0, 0.0, 317.534, 302.281, 285.925, 268.387,
5351  249.582, 229.418, 207.797, 184.613, 159.754, 133.098,
5352  104.516, 73.868, 42.9927, 41.3352, 39.5579, 37.6521,
5353  35.6086, 33.4175, 31.068, 28.5487, 25.8473, 22.9507,
5354  21.4281, 20.2349, 18.9555, 17.5837, 16.1127, 14.6982,
5355  13.8353, 12.9101, 11.918, 10.944, 10.2789, 9.56568,
5356  8.81662, 8.23447, 7.61026, 7.04485, 6.54539, 6.05608,
5357  5.63049, 5.22047, 4.84258, 4.47753, 4.11936, 3.79214,
5358  3.50333, 3.23106, 2.98232, 2.74394, 2.51229, 2.30091,
5359  2.11221, 1.91664, 1.76265, 1.60269, 1.45221, 1.32015,
5360  1.19307, 1.07492, 0.964731, 0.866522, 0.766304, 0.678945,
5361  0.601393, 0.524303, 0.455731, 0.392445, 0.332516, 0.277406,
5362  0.227346, 0.182368, 0.142742, 0.106462, 0.0753227, 0.0493652,
5363  0.0282342, 0.0, 0.0, 0.0, 0.0, 0.0,
5364  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5365  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5366  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5367  329.587, 314.406, 298.126, 280.671, 261.954, 241.884,
5368  220.364, 197.289, 172.547, 146.016, 117.568, 87.0637,
5369  54.3553, 42.5675, 40.8388, 38.9851, 36.9974, 34.8661,
5370  32.5808, 30.1304, 27.5028, 24.6854, 22.4672, 21.258,
5371  19.9615, 18.5712, 17.0804, 15.4819, 14.5008, 13.6021,
5372  12.6385, 11.6053, 10.8499, 10.118, 9.33319, 8.65813,
5373  8.00978, 7.34875, 6.87927, 6.37586, 5.93757, 5.48036,
5374  5.10427, 4.72593, 4.3597, 3.9971, 3.68526, 3.41565,
5375  3.13966, 2.89111, 2.6618, 2.41588, 2.22977, 2.0295,
5376  1.86678, 1.69847, 1.54156, 1.3951, 1.2666, 1.14494,
5377  1.02892, 0.921324, 0.823537, 0.730746, 0.64686, 0.569131,
5378  0.492441, 0.42525, 0.363355, 0.304566, 0.252725, 0.205167,
5379  0.161554, 0.121714, 0.088844, 0.0599561, 0.0363437, 0.0,
5380  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5381  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5382  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5383  0.0, 0.0, 0.0, 0.0, 342.525, 327.383,
5384  311.146, 293.736, 275.068, 255.051, 233.587, 210.573,
5385  185.895, 159.433, 131.059, 100.635, 68.0123, 44.1992,
5386  42.4675, 40.6106, 38.6196, 36.4846, 34.1954, 31.7408,
5387  29.1087, 26.2865, 23.3675, 22.1768, 20.9001, 19.5312,
5388  18.0633, 16.4893, 15.194, 14.2625, 13.2636, 12.1926,
5389  11.2817, 10.5907, 9.84979, 9.1206, 8.47356, 7.77976,
5390  7.23521, 6.71389, 6.22585, 5.75326, 5.32323, 4.89891,
5391  4.53748, 4.18996, 3.86361, 3.56313, 3.26737, 3.01784,
5392  2.79453, 2.55791, 2.33486, 2.14545, 1.9536, 1.7929,
5393  1.62519, 1.48042, 1.34408, 1.21655, 1.09429, 0.983724,
5394  0.876956, 0.781337, 0.691933, 0.607601, 0.53216, 0.460565,
5395  0.395799, 0.332402, 0.276009, 0.226278, 0.180522, 0.139059,
5396  0.103141, 0.0710805, 0.0453624, 0.0, 0.0, 0.0,
5397  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5398  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5399  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5400  0.0, 0.0, 351.819, 336.897, 320.896, 303.739,
5401  285.342, 265.616, 244.464, 221.783, 197.464, 171.386,
5402  143.425, 113.442, 81.2933, 46.8209, 44.2381, 42.3294,
5403  40.2826, 38.088, 35.7348, 33.2115, 30.5058, 27.6047,
5404  24.4938, 22.7194, 21.498, 20.1884, 18.7841, 17.2783,
5405  15.756, 14.8254, 13.8276, 12.7577, 11.6681, 10.9734,
5406  10.2285, 9.4298, 8.81865, 8.16762, 7.552, 7.01133,
5407  6.46699, 5.99882, 5.5343, 5.10762, 4.74029, 4.39713,
5408  4.06247, 3.74918, 3.45248, 3.17008, 2.90813, 2.68226,
5409  2.46616, 2.26308, 2.06937, 1.88547, 1.7115, 1.56455,
5410  1.4174, 1.2837, 1.16003, 1.03865, 0.93669, 0.837625,
5411  0.740536, 0.655875, 0.572848, 0.49754, 0.425613, 0.362998,
5412  0.303173, 0.250157, 0.201656, 0.156465, 0.11912, 0.0844891,
5413  0.0552719, 0.0318352, 0.0, 0.0, 0.0, 0.0,
5414  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5415  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5416  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5417  361.027, 346.261, 330.429, 313.452, 295.249, 275.73,
5418  254.801, 232.359, 208.295, 182.492, 154.824, 125.157,
5419  93.3466, 59.2367, 45.1099, 43.2665, 41.29, 39.1706,
5420  36.8981, 34.4613, 31.8484, 29.0467, 26.0426, 23.5913,
5421  22.3613, 21.0424, 19.6283, 18.1119, 16.486, 15.4063,
5422  14.4432, 13.4104, 12.303, 11.4862, 10.724, 9.90679,
5423  9.21344, 8.57516, 7.90249, 7.32808, 6.71217, 6.24646,
5424  5.77075, 5.37972, 4.97526, 4.57092, 4.22866, 3.91112,
5425  3.61107, 3.31371, 3.04634, 2.80607, 2.59688, 2.37012,
5426  2.16289, 1.9761, 1.80763, 1.63992, 1.49125, 1.35228,
5427  1.21688, 1.10549, 0.992052, 0.883243, 0.787346, 0.697908,
5428  0.614574, 0.530626, 0.45883, 0.393876, 0.331638, 0.275913,
5429  0.222387, 0.176078, 0.133694, 0.0971597, 0.0663633, 0.0398625,
5430  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5431  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5432  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5433  0.0, 0.0, 0.0, 0.0, 372.991, 358.255,
5434  342.454, 325.512, 307.344, 287.864, 266.976, 244.579,
5435  220.563, 194.812, 167.199, 137.591, 105.844, 71.8016,
5436  46.1798, 44.3683, 42.4259, 40.3431, 38.1098, 35.7151,
5437  33.1473, 30.394, 27.4417, 24.3437, 23.1236, 21.8153,
5438  20.4125, 18.9083, 17.2954, 15.9465, 14.9847, 13.9534,
5439  12.8476, 11.8694, 11.0935, 10.2616, 9.46321, 8.82097,
5440  8.13233, 7.55424, 6.99102, 6.48042, 6.0059, 5.57321,
5441  5.14724, 4.77703, 4.4175, 4.07933, 3.77582, 3.48055,
5442  3.20694, 2.93928, 2.6936, 2.48435, 2.26513, 2.0768,
5443  1.9022, 1.72636, 1.56834, 1.42659, 1.28744, 1.16123,
5444  1.04399, 0.934792, 0.837231, 0.738543, 0.65129, 0.568968,
5445  0.493369, 0.421525, 0.357683, 0.298414, 0.243855, 0.196106,
5446  0.151058, 0.111537, 0.0774443, 0.0486595, 0.0, 0.0,
5447  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5448  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5449  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5450  0.0, 0.0, 381.133, 366.61, 351.038, 334.34,
5451  316.435, 297.236, 276.65, 254.577, 230.908, 205.528,
5452  178.315, 149.134, 117.846, 84.2954, 48.3207, 45.9121,
5453  43.9664, 41.8802, 39.6432, 37.2445, 34.6725, 31.9146,
5454  28.9575, 25.7866, 23.949, 22.638, 21.2322, 19.7249,
5455  18.1086, 16.4816, 15.4939, 14.4349, 13.2993, 12.1484,
5456  11.4274, 10.6544, 9.82543, 9.20013, 8.53234, 7.8906,
5457  7.30712, 6.72978, 6.26259, 5.80344, 5.38839, 4.98128,
5458  4.5826, 4.24107, 3.90954, 3.59868, 3.31496, 3.05893,
5459  2.81717, 2.58682, 2.36958, 2.17476, 1.98723, 1.7997,
5460  1.64081, 1.49852, 1.34888, 1.22764, 1.1033, 0.987034,
5461  0.882767, 0.781952, 0.691841, 0.606168, 0.529865, 0.454446,
5462  0.385712, 0.326016, 0.265195, 0.215585, 0.16972, 0.126328,
5463  0.0896915, 0.0587944, 0.0333218, 0.0, 0.0, 0.0,
5464  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5465  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5466  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5467  391.943, 377.497, 362.008, 345.399, 327.59, 308.494,
5468  288.018, 266.063, 242.52, 217.276, 190.208, 161.184,
5469  130.063, 96.6918, 60.9095, 47.299, 45.3324, 43.2236,
5470  40.9624, 38.5379, 35.9381, 33.1504, 30.1613, 26.9561,
5471  24.4349, 23.1707, 21.8152, 20.3617, 18.8032, 17.132,
5472  16.0405, 15.0364, 13.9597, 12.8052, 11.9573, 11.1456,
5473  10.2752, 9.54165, 8.85371, 8.14277, 7.60318, 7.02461,
5474  6.52193, 5.99789, 5.57468, 5.15464, 4.76196, 4.40275,
5475  4.0682, 3.75931, 3.4643, 3.19807, 2.93825, 2.69492,
5476  2.47299, 2.25603, 2.05889, 1.8927, 1.71991, 1.56342,
5477  1.41452, 1.28361, 1.1517, 1.04111, 0.926305, 0.822583,
5478  0.732599, 0.641175, 0.561806, 0.483822, 0.414146, 0.348465,
5479  0.289301, 0.235368, 0.186175, 0.141654, 0.102459, 0.0686756,
5480  0.0415223, 0.0, 0.0, 0.0, 0.0, 0.0,
5481  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5482  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5483  0.0, 0.0, 0.0, 0.0, 402.281, 387.9,
5484  372.48, 355.944, 338.214, 319.203, 298.818, 276.96,
5485  253.522, 228.39, 201.442, 172.546, 141.563, 108.34,
5486  72.7163, 48.0958, 46.1855, 44.1373, 41.941, 39.586,
5487  37.0608, 34.3531, 31.4498, 28.3366, 25.2031, 23.9374,
5488  22.5802, 21.125, 19.5646, 17.8914, 16.5381, 15.5288,
5489  14.4464, 13.2859, 12.3028, 11.5188, 10.6782, 9.87556,
5490  9.18768, 8.45008, 7.86854, 7.29741, 6.76997, 6.25623,
5491  5.80518, 5.36374, 4.97028, 4.58087, 4.20677, 3.87314,
5492  3.58216, 3.30551, 3.04853, 2.78732, 2.56056, 2.33902,
5493  2.14544, 1.96626, 1.78867, 1.62968, 1.4839, 1.3391,
5494  1.21216, 1.09284, 0.975439, 0.867771, 0.772885, 0.68246,
5495  0.595105, 0.516447, 0.444203, 0.376111, 0.314989, 0.257286,
5496  0.205504, 0.158209, 0.116636, 0.0804951, 0.0501986, 0.0260806,
5497  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5498  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5499  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5500  0.0, 0.0, 406.984, 392.896, 377.79, 361.592,
5501  344.223, 325.6, 305.63, 284.218, 261.258, 236.638,
5502  210.24, 181.933, 151.581, 119.036, 84.1388, 49.1921,
5503  47.2861, 45.2423, 43.0508, 40.701, 38.1813, 35.4795,
5504  32.5825, 29.4762, 26.1453, 24.4244, 23.0755, 21.629,
5505  20.078, 18.4149, 16.8249, 15.8699, 14.846, 13.748,
5506  12.6589, 11.8503, 10.9833, 10.0769, 9.4046, 8.68377,
5507  8.04199, 7.48556, 6.93543, 6.44257, 5.96052, 5.50408,
5508  5.09709, 4.70718, 4.34663, 4.02174, 3.71072, 3.42101,
5509  3.15475, 2.89184, 2.65127, 2.43997, 2.24937, 2.03798,
5510  1.85009, 1.70167, 1.54516, 1.40684, 1.26494, 1.13992,
5511  1.02337, 0.909625, 0.81011, 0.715935, 0.630979, 0.54851,
5512  0.471934, 0.40329, 0.336413, 0.277946, 0.223734, 0.174151,
5513  0.1309, 0.0923939, 0.0596688, 0.0334301, 0.0, 0.0,
5514  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5515  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5516  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5517  417.053, 403.036, 388.007, 371.891, 354.611, 336.082,
5518  316.214, 294.91, 272.067, 247.572, 221.308, 193.145,
5519  162.948, 130.568, 95.8475, 58.6184, 48.4754, 46.4561,
5520  44.2908, 41.969, 39.4794, 36.81, 33.9476, 30.8783,
5521  27.5873, 25.22, 23.8655, 22.4131, 20.8557, 19.1859,
5522  17.3953, 16.3617, 15.333, 14.2299, 13.047, 12.1981,
5523  11.3296, 10.3982, 9.69245, 9.01931, 8.33618, 7.74792,
5524  7.12581, 6.66684, 6.18563, 5.73248, 5.29036, 4.8646,
5525  4.53735, 4.17494, 3.83244, 3.55372, 3.27622, 3.01681,
5526  2.77263, 2.52903, 2.32682, 2.12368, 1.93447, 1.77725,
5527  1.61401, 1.45905, 1.32111, 1.18667, 1.06606, 0.959608,
5528  0.853396, 0.755558, 0.663452, 0.579248, 0.503481, 0.43097,
5529  0.361865, 0.30004, 0.243792, 0.192132, 0.145553, 0.105158,
5530  0.0696721, 0.0405849, 0.0, 0.0, 0.0, 0.0,
5531  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5532  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5533  0.0, 0.0, 0.0, 0.0, 423.514, 409.685,
5534  394.857, 378.957, 361.908, 343.626, 324.024, 303.005,
5535  280.467, 256.3, 230.387, 202.601, 172.807, 140.86,
5536  106.605, 69.8733, 49.3312, 47.3398, 45.2045, 42.9148,
5537  40.4597, 37.8272, 35.0044, 31.9776, 28.7321, 25.7627,
5538  24.4479, 23.038, 21.5263, 19.9053, 18.1672, 16.8612,
5539  15.7903, 14.642, 13.4106, 12.4543, 11.6513, 10.7903,
5540  10.0018, 9.29543, 8.53805, 7.9662, 7.37065, 6.83806,
5541  6.30205, 5.8786, 5.45769, 5.04592, 4.66286, 4.30809,
5542  3.98544, 3.63399, 3.3831, 3.1199, 2.84849, 2.61751,
5543  2.40482, 2.18656, 2.01628, 1.83007, 1.67178, 1.52539,
5544  1.36728, 1.23639, 1.11796, 1.00294, 0.888166, 0.788165,
5545  0.697469, 0.610547, 0.53192, 0.456481, 0.387419, 0.321991,
5546  0.264188, 0.209552, 0.162213, 0.117941, 0.0806221, 0.0489309,
5547  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5548  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5549  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5550  0.0, 0.0, 428.417, 414.809, 400.216, 384.569,
5551  367.791, 349.801, 330.511, 309.827, 287.648, 263.866,
5552  238.365, 211.021, 181.702, 150.264, 116.553, 80.4068,
5553  49.8675, 47.9267, 45.8456, 43.6142, 41.2214, 38.6558,
5554  35.9047, 32.9548, 29.7917, 26.4001, 24.9532, 23.5373,
5555  22.019, 20.391, 18.6453, 17.1196, 16.1211, 15.0504,
5556  13.9024, 12.8388, 12.0175, 11.1369, 10.2617, 9.57188,
5557  8.83223, 8.21413, 7.64598, 7.09627, 6.57331, 6.07909,
5558  5.59657, 5.17752, 4.78361, 4.429, 4.08705, 3.78194,
5559  3.48924, 3.20755, 2.95325, 2.71477, 2.49047, 2.28185,
5560  2.07821, 1.90048, 1.74658, 1.57515, 1.42449, 1.29219,
5561  1.16235, 1.04424, 0.928649, 0.829107, 0.731203, 0.639356,
5562  0.559091, 0.482137, 0.409193, 0.346947, 0.284402, 0.227768,
5563  0.176907, 0.131856, 0.0920232, 0.0584136, 0.0308755, 0.0,
5564  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5565  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5566  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5567  433.595, 420.197, 405.831, 390.427, 373.91, 356.199,
5568  337.208, 316.844, 295.009, 271.596, 246.491, 219.572,
5569  190.708, 159.757, 126.57, 90.9844, 52.8272, 48.8502,
5570  46.7759, 44.5518, 42.167, 39.6098, 36.8678, 33.9277,
5571  30.775, 27.3946, 25.372, 24.0093, 22.5481, 20.9814,
5572  19.3014, 17.5796, 16.5744, 15.4966, 14.3409, 13.1417,
5573  12.3247, 11.4486, 10.5092, 9.82449, 9.10681, 8.41847,
5574  7.81396, 7.20953, 6.73154, 6.24526, 5.78112, 5.35138,
5575  4.93973, 4.56312, 4.23117, 3.89645, 3.58055, 3.29885,
5576  3.03128, 2.78892, 2.55503, 2.35286, 2.15045, 1.95996,
5577  1.79518, 1.63347, 1.4794, 1.34208, 1.21215, 1.07902,
5578  0.970624, 0.863055, 0.767578, 0.676049, 0.589585, 0.510573,
5579  0.435832, 0.36701, 0.304343, 0.246979, 0.192578, 0.146383,
5580  0.103438, 0.0674017, 0.0382501, 0.0, 0.0, 0.0,
5581  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5582  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5583  0.0, 0.0, 0.0, 0.0, 441.987, 428.671,
5584  414.393, 399.083, 382.667, 365.064, 346.189, 325.951,
5585  304.249, 280.98, 256.028, 229.274, 200.586, 169.825,
5586  136.841, 101.473, 63.5494, 49.588, 47.5606, 45.3868,
5587  43.0558, 40.5563, 37.8763, 35.0025, 31.9211, 28.617,
5588  26.0121, 24.6266, 23.141, 21.548, 19.84, 18.0084,
5589  16.8391, 15.7601, 14.6033, 13.3628, 12.5094, 11.7051,
5590  10.8427, 10.0964, 9.37992, 8.63745, 8.03408, 7.38709,
5591  6.90184, 6.39939, 5.95431, 5.50999, 5.08725, 4.72299,
5592  4.36864, 4.02649, 3.69963, 3.37688, 3.12212, 2.87756,
5593  2.64212, 2.43169, 2.21633, 2.03794, 1.85735, 1.68612,
5594  1.53238, 1.3919, 1.24695, 1.12973, 1.0064, 0.901953,
5595  0.799923, 0.704139, 0.615276, 0.534556, 0.460226, 0.388273,
5596  0.323162, 0.264297, 0.209846, 0.160729, 0.115894, 0.0785991,
5597  0.0460509, 0.0, 0.0, 0.0, 0.0, 0.0,
5598  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5599  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5600  0.0, 0.0, 444.317, 431.291, 417.323, 402.346,
5601  386.287, 369.067, 350.603, 330.804, 309.575, 286.811,
5602  262.402, 236.23, 208.166, 178.073, 145.807, 111.208,
5603  74.1089, 50.6472, 48.6242, 46.455, 44.1291, 41.635,
5604  38.9607, 36.0932, 33.0184, 29.7215, 26.5338, 25.1669,
5605  23.7012, 22.1296, 20.4444, 18.6375, 17.2629, 16.2367,
5606  15.1364, 13.9566, 12.9407, 12.0561, 11.1077, 10.2558,
5607  9.56998, 8.83458, 8.24897, 7.65452, 7.1197, 6.5947,
5608  6.11722, 5.63889, 5.20436, 4.82249, 4.46758, 4.10281,
5609  3.79592, 3.49046, 3.22409, 2.97002, 2.73423, 2.49873,
5610  2.28463, 2.09149, 1.91119, 1.73301, 1.58076, 1.4351,
5611  1.29435, 1.16958, 1.05055, 0.933867, 0.834806, 0.737193,
5612  0.647225, 0.561521, 0.485275, 0.41425, 0.345069, 0.284289,
5613  0.226237, 0.175215, 0.129023, 0.0890323, 0.0543435, 0.0,
5614  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5615  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5616  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5617  448.95, 436.109, 422.34, 407.577, 391.746, 374.771,
5618  356.569, 337.053, 316.125, 293.685, 269.624, 243.824,
5619  216.159, 186.495, 154.687, 120.581, 84.0099, 51.275,
5620  49.2812, 47.1434, 44.851, 42.393, 39.7573, 36.9312,
5621  33.9008, 30.6515, 27.1673, 25.5986, 24.1779, 22.6545,
5622  21.0211, 19.2696, 17.6881, 16.6697, 15.5777, 14.4068,
5623  13.2891, 12.4175, 11.4829, 10.5474, 9.86861, 9.14077,
5624  8.47421, 7.8352, 7.24139, 6.72855, 6.24777, 5.79215,
5625  5.37826, 4.97113, 4.57934, 4.21612, 3.90635, 3.5878,
5626  3.30186, 3.04068, 2.8017, 2.58392, 2.35583, 2.15384,
5627  1.96478, 1.7894, 1.63348, 1.48395, 1.34077, 1.21608,
5628  1.08793, 0.972714, 0.865333, 0.766484, 0.677205, 0.585262,
5629  0.512713, 0.435122, 0.364997, 0.301817, 0.242832, 0.191671,
5630  0.142206, 0.100264, 0.0640728, 0.0337616, 0.0, 0.0,
5631  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5632  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5633  0.0, 0.0, 0.0, 0.0, 455.515, 442.782,
5634  429.129, 414.489, 398.791, 381.959, 363.91, 344.557,
5635  323.805, 301.554, 277.694, 252.11, 224.678, 195.263,
5636  163.722, 129.902, 93.6374, 54.7524, 49.7128, 47.6014,
5637  45.3374, 42.9098, 40.3067, 37.5156, 34.5227, 31.3136,
5638  27.8725, 25.7752, 24.4247, 22.9766, 21.4239, 19.759,
5639  18.0257, 16.96, 15.8172, 14.5918, 13.3107, 12.5151,
5640  11.662, 10.7472, 10.0631, 9.35359, 8.66135, 8.04489,
5641  7.41558, 6.88566, 6.36631, 5.92981, 5.4954, 5.06253,
5642  4.68105, 4.32875, 3.99119, 3.67248, 3.38573, 3.13523,
5643  2.89357, 2.6506, 2.436, 2.21697, 2.02049, 1.84768,
5644  1.67696, 1.53453, 1.38143, 1.24912, 1.12648, 1.01395,
5645  0.900198, 0.79344, 0.699114, 0.61895, 0.531657, 0.458052,
5646  0.387912, 0.320397, 0.260529, 0.204414, 0.156677, 0.111006,
5647  0.0726843, 0.0408215, 0.0, 0.0, 0.0, 0.0,
5648  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5649  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5650  0.0, 0.0, 459.226, 446.699, 433.266, 418.863,
5651  403.418, 386.858, 369.101, 350.06, 329.643, 307.752,
5652  284.278, 259.107, 232.118, 203.178, 172.146, 138.873,
5653  103.194, 64.9374, 50.6522, 48.5589, 46.3143, 43.9075,
5654  41.3268, 38.5596, 35.5924, 32.4108, 28.9992, 26.3126,
5655  24.917, 23.4205, 21.8159, 20.0953, 18.2503, 17.1114,
5656  16.0808, 14.9757, 13.7908, 12.8663, 11.958, 10.9839,
5657  10.2233, 9.54368, 8.8372, 8.25346, 7.62754, 7.08535,
5658  6.5204, 6.06568, 5.61846, 5.20596, 4.79303, 4.41318,
5659  4.07301, 3.75514, 3.48239, 3.20521, 2.95741, 2.70786,
5660  2.48627, 2.26946, 2.07914, 1.90063, 1.73903, 1.57063,
5661  1.43257, 1.29565, 1.16435, 1.04852, 0.929859, 0.825668,
5662  0.731733, 0.644599, 0.557977, 0.484282, 0.403607, 0.339282,
5663  0.278909, 0.220419, 0.168247, 0.123099, 0.0824499, 0.0483851,
5664  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5665  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5666  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5667  462.757, 450.426, 437.203, 423.025, 407.822, 391.52,
5668  374.041, 355.298, 335.2, 313.651, 290.544, 265.767,
5669  239.199, 210.712, 180.166, 147.412, 112.291, 74.6326,
5670  51.425, 49.3506, 47.1263, 44.7413, 42.1839, 39.4417,
5671  36.5013, 33.3484, 29.9677, 26.7472, 25.4113, 23.9788,
5672  22.4427, 20.7957, 19.0297, 17.6517, 16.5583, 15.386,
5673  14.1289, 13.1028, 12.2503, 11.3362, 10.498, 9.78242,
5674  9.01515, 8.41118, 7.79488, 7.21822, 6.63678, 6.15028,
5675  5.68267, 5.31302, 4.93917, 4.56534, 4.20188, 3.84176,
5676  3.54231, 3.28522, 3.00669, 2.77019, 2.55435, 2.34472,
5677  2.12518, 1.95301, 1.77577, 1.6102, 1.48131, 1.32908,
5678  1.19136, 1.08291, 0.968149, 0.860174, 0.765297, 0.667961,
5679  0.581826, 0.503527, 0.426257, 0.35839, 0.296214, 0.238613,
5680  0.18419, 0.135244, 0.0929761, 0.0569486, 0.0, 0.0,
5681  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5682  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5683  0.0, 0.0, 0.0, 0.0, 468.655, 456.422,
5684  443.305, 429.239, 414.158, 397.986, 380.646, 362.052,
5685  342.115, 320.737, 297.815, 273.235, 246.88, 218.619,
5686  188.317, 155.824, 120.983, 83.625, 51.5739, 49.5662,
5687  47.4133, 45.1049, 42.6297, 39.9756, 37.1297, 34.0781,
5688  30.806, 27.2974, 25.7895, 24.3453, 22.7968, 21.1363,
5689  19.3559, 17.783, 16.7507, 15.6438, 14.4568, 13.3528,
5690  12.5087, 11.6037, 10.6993, 9.9858, 9.2207, 8.57255,
5691  7.97597, 7.38433, 6.80636, 6.3085, 5.86611, 5.44307,
5692  5.02945, 4.63847, 4.25139, 3.95384, 3.65688, 3.34692,
5693  3.09123, 2.85347, 2.6077, 2.39576, 2.19179, 2.01182,
5694  1.82439, 1.66551, 1.50499, 1.37069, 1.23819, 1.11228,
5695  0.998104, 0.886976, 0.786729, 0.697074, 0.606162, 0.52396,
5696  0.449384, 0.377457, 0.314425, 0.25462, 0.198933, 0.147996,
5697  0.102999, 0.0654542, 0.0343594, 0.0, 0.0, 0.0,
5698  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5699  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5700  0.0, 0.0, 472.28, 460.222, 447.294, 433.431,
5701  418.567, 402.628, 385.537, 367.212, 347.562, 326.492,
5702  303.899, 279.673, 253.697, 225.844, 195.977, 163.953,
5703  129.614, 92.7932, 53.3117, 50.3242, 48.1947, 45.9113,
5704  43.4629, 40.8376, 38.0225, 35.004, 31.7673, 28.2967,
5705  26.261, 24.8209, 23.2768, 21.621, 19.8457, 18.059,
5706  17.0517, 15.9716, 14.8134, 13.6221, 12.7701, 11.8565,
5707  10.8769, 10.1669, 9.41237, 8.70695, 8.10195, 7.49082,
5708  6.9596, 6.43631, 5.96424, 5.51692, 5.08655, 4.7186,
5709  4.37134, 4.0415, 3.72588, 3.43744, 3.17167, 2.92053,
5710  2.67829, 2.43868, 2.23931, 2.05491, 1.88019, 1.71327,
5711  1.55405, 1.41834, 1.27593, 1.15198, 1.03065, 0.916221,
5712  0.812777, 0.720874, 0.631244, 0.54679, 0.47286, 0.39704,
5713  0.331557, 0.269687, 0.213368, 0.161626, 0.114333, 0.0749429,
5714  0.0416101, 0.0, 0.0, 0.0, 0.0, 0.0,
5715  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5716  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5717  476.634, 464.724, 451.953, 438.259, 423.576, 407.831,
5718  390.949, 372.846, 353.436, 332.622, 310.305, 286.374,
5719  260.714, 233.2, 203.698, 172.063, 138.143, 101.771,
5720  62.77, 51.0511, 48.9389, 46.6741, 44.2456, 41.6416,
5721  38.8495, 35.8556, 32.6453, 29.203, 26.6624, 25.25,
5722  23.7355, 22.1116, 20.3703, 18.5032, 17.3731, 16.2704,
5723  15.0879, 13.82, 12.9337, 12.0473, 11.0969, 10.3598,
5724  9.66366, 8.94265, 8.28219, 7.57739, 7.08118, 6.56339,
5725  6.11204, 5.66329, 5.2256, 4.84803, 4.48356, 4.13241,
5726  3.7961, 3.49167, 3.22062, 2.96936, 2.73942, 2.5209,
5727  2.29526, 2.11114, 1.9254, 1.74742, 1.5863, 1.44535,
5728  1.3122, 1.18075, 1.06171, 0.952357, 0.846142, 0.747504,
5729  0.655609, 0.575202, 0.490026, 0.417372, 0.349238, 0.286259,
5730  0.226655, 0.174523, 0.126893, 0.0841339, 0.0487807, 0.0,
5731  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5732  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5733  0.0, 0.0, 0.0, 0.0, 480.604, 468.845,
5734  456.236, 442.716, 428.219, 412.674, 396.006, 378.133,
5735  358.969, 338.419, 316.385, 292.758, 267.424, 240.259,
5736  211.131, 179.897, 146.407, 110.496, 71.9906, 51.7801,
5737  49.6654, 47.3978, 44.9663, 42.3591, 39.5636, 36.5659,
5738  33.3517, 29.9052, 26.8453, 25.4924, 24.0418, 22.4863,
5739  20.8184, 19.03, 17.715, 16.611, 15.4272, 14.1579,
5740  13.1735, 12.3163, 11.397, 10.581, 9.85909, 9.08499,
5741  8.4293, 7.73222, 7.17643, 6.63261, 6.19093, 5.74521,
5742  5.30846, 4.92783, 4.56511, 4.20197, 3.83497, 3.57665,
5743  3.31598, 3.04843, 2.78186, 2.56666, 2.35985, 2.15791,
5744  1.97229, 1.80222, 1.6345, 1.49363, 1.34017, 1.21316,
5745  1.0945, 0.980043, 0.87519, 0.772953, 0.678913, 0.593361,
5746  0.511889, 0.438145, 0.366791, 0.302948, 0.240565, 0.187236,
5747  0.137761, 0.094423, 0.0563739, 0.0, 0.0, 0.0,
5748  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5749  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5750  0.0, 0.0, 481.329, 469.789, 457.415, 444.146,
5751  429.919, 414.663, 398.305, 380.765, 361.957, 341.79,
5752  320.166, 296.978, 272.116, 245.456, 216.87, 186.218,
5753  153.35, 118.108, 80.3187, 52.0505, 49.9943, 47.7895,
5754  45.4253, 42.8903, 40.1721, 37.2574, 34.1321, 30.781,
5755  27.2761, 25.8987, 24.4218, 22.8381, 21.14, 19.3192,
5756  17.8248, 16.7943, 15.6893, 14.5044, 13.4373, 12.5553,
5757  11.6095, 10.705, 9.97992, 9.20241, 8.57505, 7.97343,
5758  7.39412, 6.82342, 6.32085, 5.83558, 5.41559, 5.0247,
5759  4.66042, 4.26287, 3.92956, 3.64111, 3.37379, 3.09741,
5760  2.85783, 2.63418, 2.40718, 2.19937, 2.01561, 1.83991,
5761  1.67454, 1.53358, 1.38503, 1.24677, 1.12439, 1.01197,
5762  0.892444, 0.798923, 0.707747, 0.616211, 0.53323, 0.455128,
5763  0.38488, 0.318371, 0.25675, 0.202084, 0.149785, 0.104142,
5764  0.0647949, 0.0328785, 0.0, 0.0, 0.0, 0.0,
5765  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5766  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5767  485.231, 473.812, 461.569, 448.441, 434.364, 419.27,
5768  403.084, 385.73, 367.121, 347.167, 325.771, 302.83,
5769  278.23, 251.852, 223.568, 193.24, 160.721, 125.851,
5770  88.4616, 52.1621, 50.1565, 48.006, 45.7, 43.2274,
5771  40.5761, 37.7332, 34.6849, 31.4162, 27.9114, 26.1653,
5772  24.7401, 23.212, 21.5735, 19.8165, 18.1578, 17.1195,
5773  16.006, 14.8122, 13.6398, 12.753, 11.8022, 10.8204,
5774  10.1088, 9.34565, 8.66575, 8.06043, 7.4658, 6.92813,
5775  6.42362, 5.96606, 5.52725, 5.10387, 4.72866, 4.38327,
5776  4.0453, 3.72357, 3.43958, 3.18431, 2.90768, 2.66176,
5777  2.45493, 2.24861, 2.0671, 1.88741, 1.72733, 1.55477,
5778  1.41491, 1.27889, 1.14858, 1.03751, 0.926956, 0.824031,
5779  0.721526, 0.63946, 0.552391, 0.475368, 0.40064, 0.334785,
5780  0.272856, 0.213493, 0.16159, 0.114821, 0.0734057, 0.0392347,
5781  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5782  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5783  0.0, 0.0, 0.0, 0.0, 489.273, 477.982,
5784  465.875, 452.893, 438.972, 424.046, 408.041, 390.88,
5785  372.478, 352.746, 331.589, 308.902, 284.576, 258.492,
5786  230.523, 200.533, 168.375, 133.894, 96.9203, 57.2749,
5787  50.8037, 48.6634, 46.3685, 43.9078, 41.2692, 38.44,
5788  35.4062, 32.1533, 28.6652, 26.4305, 25.0178, 23.5029,
5789  21.8786, 20.1369, 18.2963, 17.2418, 16.111, 14.8986,
5790  13.6107, 12.8082, 11.9477, 11.0249, 10.3053, 9.56705,
5791  8.85062, 8.24292, 7.61531, 7.08256, 6.54796, 6.08168,
5792  5.63296, 5.19529, 4.79277, 4.4453, 4.11711, 3.78232,
5793  3.47115, 3.22778, 2.96571, 2.71325, 2.50406, 2.29495,
5794  2.09939, 1.91724, 1.75921, 1.59081, 1.45811, 1.30771,
5795  1.1848, 1.06404, 0.950333, 0.846758, 0.747572, 0.657682,
5796  0.5714, 0.49314, 0.419352, 0.351344, 0.287122, 0.22715,
5797  0.174718, 0.12566, 0.0826961, 0.0465644, 0.0, 0.0,
5798  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5799  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5800  0.0, 0.0, 487.099, 476.082, 464.268, 451.601,
5801  438.019, 423.454, 407.838, 391.093, 373.137, 353.885,
5802  333.24, 311.104, 287.369, 261.917, 234.627, 205.364,
5803  173.987, 140.342, 104.266, 65.5823, 51.2468, 49.1363,
5804  46.8733, 44.4468, 41.8449, 39.055, 36.0634, 32.8557,
5805  29.4161, 26.7266, 25.3522, 23.8785, 22.2983, 20.6039,
5806  18.7871, 17.5819, 16.4553, 15.2472, 13.9518, 13.0436,
5807  12.1829, 11.26, 10.4919, 9.77301, 9.02486, 8.39479,
5808  7.71918, 7.2009, 6.66414, 6.20009, 5.7293, 5.26851,
5809  4.89412, 4.52278, 4.16675, 3.85597, 3.54627, 3.29896,
5810  3.0178, 2.7817, 2.56007, 2.3436, 2.15154, 1.96259,
5811  1.79572, 1.62814, 1.48163, 1.33833, 1.20358, 1.08971,
5812  0.972156, 0.870311, 0.769268, 0.676708, 0.591666, 0.510594,
5813  0.436845, 0.369126, 0.302598, 0.241382, 0.186034, 0.136263,
5814  0.091367, 0.0542006, 0.0, 0.0, 0.0, 0.0,
5815  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5816  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5817  493.103, 482.152, 470.409, 457.818, 444.317, 429.84,
5818  414.317, 397.672, 379.825, 360.687, 340.167, 318.164,
5819  294.57, 269.271, 242.145, 213.057, 181.868, 148.425,
5820  112.565, 74.1135, 51.928, 49.8339, 47.5885, 45.1808,
5821  42.5991, 39.8308, 36.8625, 33.6797, 30.2668, 27.1005,
5822  25.7069, 24.2126, 22.6103, 20.8923, 19.05, 17.6855,
5823  16.6108, 15.4584, 14.2228, 13.2241, 12.3679, 11.4497,
5824  10.6286, 9.92926, 9.17934, 8.53805, 7.86576, 7.29893,
5825  6.74699, 6.27477, 5.80734, 5.38634, 4.98187, 4.60674,
5826  4.27529, 3.88073, 3.60985, 3.34281, 3.0974, 2.81451,
5827  2.58772, 2.39945, 2.19489, 2.00683, 1.82674, 1.66463,
5828  1.50527, 1.38142, 1.24086, 1.12037, 1.0064, 0.888635,
5829  0.794052, 0.702518, 0.611484, 0.533606, 0.453235, 0.382619,
5830  0.318314, 0.255092, 0.199262, 0.147714, 0.10103, 0.061732,
5831  0.0295139, 0.0, 0.0, 0.0, 0.0, 0.0,
5832  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5833  0.0, 0.0, 0.0, 0.0, 496.546, 485.708,
5834  474.087, 461.626, 448.264, 433.937, 418.574, 402.101,
5835  384.438, 365.499, 345.19, 323.414, 300.064, 275.027,
5836  248.181, 219.394, 188.527, 155.429, 119.94, 81.8853,
5837  52.0955, 50.0494, 47.8556, 45.5031, 42.9807, 40.276,
5838  37.3758, 34.2661, 30.9316, 27.3639, 25.989, 24.5148,
5839  22.9339, 21.2389, 19.4213, 17.8869, 16.8354, 15.7079,
5840  14.4988, 13.4098, 12.549, 11.626, 10.7249, 9.99109,
5841  9.20423, 8.56573, 7.96511, 7.41207, 6.89911, 6.39042,
5842  5.86781, 5.43772, 5.02453, 4.64302, 4.31351, 3.99813,
5843  3.71279, 3.40725, 3.12445, 2.87441, 2.6595, 2.43523,
5844  2.222, 2.0619, 1.86795, 1.69772, 1.53945, 1.40236,
5845  1.2667, 1.14177, 1.02958, 0.923059, 0.815216, 0.722436,
5846  0.631385, 0.547273, 0.471392, 0.400453, 0.330551, 0.26918,
5847  0.212014, 0.159519, 0.111538, 0.0695871, 0.0357435, 0.0,
5848  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5849  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5850  0.0, 0.0, 493.919, 483.347, 472.012, 459.857,
5851  446.824, 432.849, 417.864, 401.796, 384.567, 366.093,
5852  346.284, 325.043, 302.268, 277.846, 251.66, 223.581,
5853  193.473, 161.189, 126.572, 89.4532, 52.7548, 50.6922,
5854  48.4806, 46.1091, 43.5663, 40.8397, 37.9161, 34.7811,
5855  31.4197, 27.8153, 26.0235, 24.6173, 23.1096, 21.4929,
5856  19.7593, 18.1044, 17.0665, 15.9536, 14.7603, 13.5859,
5857  12.7247, 11.8013, 10.8412, 10.1419, 9.39198, 8.70921,
5858  8.09318, 7.49177, 6.96378, 6.4477, 5.95641, 5.54017,
5859  5.1369, 4.73452, 4.40245, 4.05926, 3.75358, 3.47368,
5860  3.1914, 2.9257, 2.68553, 2.46913, 2.27582, 2.07995,
5861  1.89315, 1.73227, 1.57554, 1.43411, 1.29597, 1.17336,
5862  1.04936, 0.939312, 0.833965, 0.744087, 0.654314, 0.568588,
5863  0.488104, 0.415623, 0.347577, 0.283443, 0.224062, 0.16978,
5864  0.120898, 0.0781448, 0.0427332, 0.0, 0.0, 0.0,
5865  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5866  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5867  497.282, 486.811, 475.583, 463.544, 450.635, 436.793,
5868  421.951, 406.036, 388.972, 370.673, 351.053, 330.014,
5869  307.456, 283.266, 257.329, 229.518, 199.696, 167.72,
5870  133.432, 96.6671, 57.2449, 50.7973, 48.6781, 46.4058,
5871  43.9693, 41.3567, 38.5553, 35.5514, 32.3304, 28.8767,
5872  26.6297, 25.1735, 23.6121, 21.9379, 20.1427, 18.2464,
5873  17.207, 16.0925, 14.8975, 13.6269, 12.7877, 11.8878,
5874  10.9229, 10.2464, 9.56566, 8.88678, 8.26808, 7.62846,
5875  7.08217, 6.53731, 6.07281, 5.65015, 5.2497, 4.81187,
5876  4.43625, 4.107, 3.79778, 3.49, 3.22105, 2.98336,
5877  2.73834, 2.52205, 2.31172, 2.12029, 1.9255, 1.76707,
5878  1.59847, 1.46577, 1.32194, 1.20133, 1.07506, 0.968027,
5879  0.864609, 0.763049, 0.672532, 0.589023, 0.507782, 0.432704,
5880  0.363857, 0.29911, 0.236705, 0.181446, 0.13129, 0.0872816,
5881  0.0491475, 0.0, 0.0, 0.0, 0.0, 0.0,
5882  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5883  0.0, 0.0, 0.0, 0.0, 494.764, 484.545,
5884  473.588, 461.84, 449.242, 435.734, 421.249, 405.718,
5885  389.065, 371.208, 352.06, 331.529, 309.514, 285.908,
5886  260.597, 233.455, 204.353, 173.147, 139.687, 103.808,
5887  65.3361, 51.6405, 49.4946, 47.1937, 44.7265, 42.081,
5888  39.2443, 36.2026, 32.9411, 29.4439, 26.7446, 25.3415,
5889  23.837, 22.2238, 20.494, 18.6391, 17.4913, 16.4287,
5890  15.2893, 14.0675, 13.1508, 12.2511, 11.2864, 10.4768,
5891  9.70766, 8.92254, 8.34319, 7.72197, 7.18942, 6.63267,
5892  6.15071, 5.67942, 5.24417, 4.87918, 4.51315, 4.16339,
5893  3.86102, 3.56438, 3.28527, 3.01781, 2.76463, 2.54518,
5894  2.33809, 2.15537, 1.96832, 1.79673, 1.64629, 1.4877,
5895  1.35297, 1.22304, 1.09653, 0.979481, 0.877799, 0.781188,
5896  0.689556, 0.602459, 0.522325, 0.446386, 0.37729, 0.310382,
5897  0.249554, 0.193717, 0.141534, 0.0963253, 0.0559317, 0.0,
5898  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5899  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5900  0.0, 0.0, 495.205, 485.144, 474.356, 462.789,
5901  450.385, 437.086, 422.825, 407.533, 391.137, 373.555,
5902  354.703, 334.489, 312.814, 289.572, 264.651, 237.928,
5903  209.275, 178.551, 145.606, 110.281, 72.4029, 51.7149,
5904  49.6206, 47.375, 44.9671, 42.3853, 39.6168, 36.6482,
5905  33.4652, 30.052, 26.9598, 25.5697, 24.0792, 22.481,
5906  20.7672, 18.9297, 17.5908, 16.507, 15.3449, 14.0988,
5907  13.1138, 12.2601, 11.3447, 10.5317, 9.82532, 9.06788,
5908  8.47215, 7.84588, 7.30275, 6.75981, 6.25771, 5.75902,
5909  5.33335, 4.95271, 4.58313, 4.21648, 3.92957, 3.62067,
5910  3.35288, 3.08241, 2.81793, 2.6133, 2.38281, 2.18112,
5911  1.98296, 1.8296, 1.67155, 1.50255, 1.37821, 1.24732,
5912  1.1287, 1.00277, 0.90881, 0.805437, 0.713047, 0.6194,
5913  0.538858, 0.463717, 0.393407, 0.324538, 0.262526, 0.205582,
5914  0.15308, 0.10444, 0.0643236, 0.0303498, 0.0, 0.0,
5915  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5916  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5917  504.257, 494.15, 483.313, 471.693, 459.232, 445.872,
5918  431.546, 416.184, 399.713, 382.051, 363.112, 342.805,
5919  321.031, 297.683, 272.647, 245.803, 217.018, 186.153,
5920  153.058, 117.571, 79.5192, 51.5299, 49.5205, 47.3659,
5921  45.0556, 42.5783, 39.922, 37.0738, 34.0197, 30.7449,
5922  27.3444, 25.946, 24.4466, 22.8389, 21.1149, 19.2664,
5923  17.7654, 16.7291, 15.6178, 14.4263, 13.3672, 12.5004,
5924  11.571, 10.6778, 9.93915, 9.14712, 8.53591, 7.95753,
5925  7.38729, 6.81236, 6.30492, 5.8143, 5.44465, 5.05806,
5926  4.66485, 4.30175, 3.97641, 3.66081, 3.38746, 3.11976,
5927  2.85799, 2.64135, 2.42252, 2.22713, 2.03216, 1.86731,
5928  1.69076, 1.53857, 1.4043, 1.27416, 1.14617, 1.0275,
5929  0.920655, 0.820386, 0.726757, 0.642191, 0.555367, 0.478161,
5930  0.405088, 0.338213, 0.275697, 0.217312, 0.163273, 0.113682,
5931  0.0711003, 0.0360182, 0.0, 0.0, 0.0, 0.0,
5932  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5933  0.0, 0.0, 0.0, 0.0, 504.46, 494.525,
5934  483.873, 472.451, 460.203, 447.07, 432.988, 417.889,
5935  401.698, 384.337, 365.722, 345.761, 324.358, 301.408,
5936  276.799, 250.413, 222.119, 191.78, 159.249, 124.368,
5937  86.9648, 52.327, 50.282, 48.0893, 45.7381, 43.217,
5938  40.5136, 37.615, 34.5068, 31.174, 27.6004, 25.9366,
5939  24.4997, 22.959, 21.307, 19.5355, 17.9099, 16.8873,
5940  15.7908, 14.6151, 13.4864, 12.6375, 11.7272, 10.7955,
5941  10.065, 9.28177, 8.62363, 8.05451, 7.47287, 6.89299,
5942  6.38075, 5.93843, 5.53691, 5.13804, 4.74462, 4.38573,
5943  4.03441, 3.71463, 3.43142, 3.17473, 2.91141, 2.68557,
5944  2.45832, 2.25555, 2.06976, 1.89294, 1.72723, 1.57833,
5945  1.43756, 1.29963, 1.1688, 1.05011, 0.942593, 0.834925,
5946  0.744324, 0.654599, 0.5717, 0.491698, 0.419759, 0.351565,
5947  0.285954, 0.228541, 0.173524, 0.123724, 0.0794926, 0.0420708,
5948  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5949  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5950  0.0, 0.0, 506.166, 496.353, 485.831, 474.549,
5951  462.451, 449.479, 435.569, 420.654, 404.661, 387.513,
5952  369.125, 349.409, 328.267, 305.598, 281.291, 255.227,
5953  227.279, 197.312, 165.179, 130.724, 93.7784, 54.1633,
5954  50.5761, 48.4522, 46.1747, 43.7327, 41.1142, 38.3064,
5955  35.2958, 32.0675, 28.606, 26.5124, 25.0339, 23.4486,
5956  21.7487, 19.9259, 18.0777, 17.0605, 15.9697, 14.8002,
5957  13.591, 12.7406, 11.8287, 10.851, 10.1429, 9.39606,
5958  8.70321, 8.12837, 7.54382, 7.03153, 6.5108, 6.01123,
5959  5.56764, 5.15547, 4.79199, 4.43384, 4.08285, 3.75829,
5960  3.47005, 3.20973, 2.95402, 2.70848, 2.50515, 2.29184,
5961  2.09682, 1.93063, 1.75455, 1.60591, 1.44997, 1.32523,
5962  1.19396, 1.07224, 0.962479, 0.862848, 0.762981, 0.675594,
5963  0.587249, 0.510736, 0.43265, 0.363986, 0.300598, 0.240192,
5964  0.184646, 0.134105, 0.0878611, 0.048855, 0.0, 0.0,
5965  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5966  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5967  503.874, 494.261, 483.955, 472.903, 461.053, 448.346,
5968  434.721, 420.111, 404.445, 387.648, 369.636, 350.323,
5969  329.614, 307.409, 283.598, 258.068, 230.692, 201.337,
5970  169.862, 136.111, 99.9218, 61.1171, 50.7224, 48.6087,
5971  46.3423, 43.9121, 41.3062, 38.512, 35.5159, 32.3033,
5972  28.8585, 26.3966, 24.9889, 23.4795, 21.8609, 20.1254,
5973  18.2645, 17.2191, 16.1779, 15.0614, 13.8642, 12.962,
5974  12.0303, 11.0313, 10.2774, 9.5571, 8.83812, 8.26081,
5975  7.647, 7.10078, 6.54192, 6.09144, 5.65193, 5.22778,
5976  4.8235, 4.47225, 4.14433, 3.81565, 3.52828, 3.24888,
5977  2.99227, 2.76598, 2.55477, 2.3392, 2.13846, 1.95906,
5978  1.77783, 1.63783, 1.48978, 1.3435, 1.20965, 1.09339,
5979  0.987788, 0.880254, 0.779619, 0.685101, 0.601359, 0.523233,
5980  0.447604, 0.378062, 0.313847, 0.252153, 0.194794, 0.143949,
5981  0.0957892, 0.0558545, 0.0, 0.0, 0.0, 0.0,
5982  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5983  0.0, 0.0, 0.0, 0.0, 509.437, 499.856,
5984  489.582, 478.566, 466.753, 454.087, 440.506, 425.943,
5985  410.328, 393.584, 375.631, 356.38, 335.737, 313.603,
5986  289.869, 264.421, 237.133, 207.873, 176.498, 142.856,
5987  106.783, 68.103, 50.9507, 48.8948, 46.6904, 44.3266,
5988  41.7919, 39.0742, 36.16, 33.0352, 29.6845, 26.8739,
5989  25.477, 23.9793, 22.3733, 20.6512, 18.8047, 17.5372,
5990  16.4238, 15.23, 13.95, 13.0107, 12.1594, 11.2467,
5991  10.4514, 9.71842, 8.94364, 8.34843, 7.71021, 7.19489,
5992  6.66822, 6.20379, 5.73982, 5.31514, 4.93318, 4.55684,
5993  4.18994, 3.86356, 3.59249, 3.29967, 3.04011, 2.80597,
5994  2.57912, 2.36124, 2.16921, 1.98558, 1.81506, 1.64992,
5995  1.50839, 1.36481, 1.23806, 1.11659, 1.00289, 0.897822,
5996  0.799392, 0.703424, 0.618893, 0.542731, 0.461622, 0.391813,
5997  0.325736, 0.264102, 0.207136, 0.153239, 0.105371, 0.0625615,
5998  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
5999  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6000  0.0, 0.0, 503.165, 493.863, 483.89, 473.195,
6001  461.728, 449.432, 436.248, 422.11, 406.951, 390.697,
6002  373.267, 354.579, 334.539, 313.052, 290.011, 265.306,
6003  238.815, 210.409, 179.951, 147.292, 112.273, 74.7227,
6004  51.4301, 49.3747, 47.1707, 44.8075, 42.2735, 39.5563,
6005  36.6428, 33.5187, 30.1688, 26.9596, 25.5818, 24.1046,
6006  22.5205, 20.822, 19.0008, 17.6182, 16.5679, 15.4417,
6007  14.2341, 13.2032, 12.3044, 11.3407, 10.475, 9.76691,
6008  9.00765, 8.42923, 7.84407, 7.28978, 6.72814, 6.23702,
6009  5.75404, 5.34071, 4.94592, 4.57472, 4.24007, 3.91113,
6010  3.62945, 3.34609, 3.10289, 2.83838, 2.60285, 2.39787,
6011  2.18193, 2.01324, 1.83801, 1.68564, 1.53469, 1.38591,
6012  1.26491, 1.13129, 1.02042, 0.915176, 0.816935, 0.722352,
6013  0.637167, 0.55086, 0.475634, 0.404545, 0.338984, 0.275018,
6014  0.215884, 0.163175, 0.113384, 0.0702285, 0.0336237, 0.0,
6015  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6016  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6017  510.177, 500.868, 490.887, 480.184, 468.708, 456.402,
6018  443.207, 429.059, 413.888, 397.62, 380.177, 361.474,
6019  341.419, 319.914, 296.856, 272.131, 245.619, 217.192,
6020  186.71, 154.025, 118.978, 81.3983, 51.4931, 49.4731,
6021  47.3071, 44.9845, 42.4942, 39.8238, 36.9605, 33.8902,
6022  30.5981, 27.0681, 25.6969, 24.2498, 22.6981, 21.0343,
6023  19.2503, 17.7184, 16.6506, 15.5057, 14.278, 13.1835,
6024  12.3561, 11.4688, 10.6003, 9.90061, 9.15038, 8.52264,
6025  7.92642, 7.33771, 6.75326, 6.25442, 5.79417, 5.41039,
6026  5.02488, 4.64462, 4.29142, 3.97998, 3.66064, 3.39024,
6027  3.11132, 2.85867, 2.64442, 2.40914, 2.23481, 2.04779,
6028  1.86592, 1.69749, 1.56162, 1.41136, 1.27157, 1.14979,
6029  1.0353, 0.92821, 0.834727, 0.739917, 0.651166, 0.567359,
6030  0.489705, 0.417923, 0.350942, 0.28553, 0.228296, 0.172589,
6031  0.122247, 0.0774404, 0.039811, 0.0, 0.0, 0.0,
6032  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6033  0.0, 0.0, 0.0, 0.0, 502.791, 493.776,
6034  484.109, 473.743, 462.629, 450.711, 437.932, 424.229,
6035  409.537, 393.782, 376.889, 358.775, 339.352, 318.525,
6036  296.193, 272.248, 246.571, 219.04, 189.518, 157.864,
6037  123.921, 87.5262, 52.1648, 50.1346, 47.9576, 45.6234,
6038  43.1204, 40.4365, 37.5587, 34.473, 31.1642, 27.6163,
6039  25.8489, 24.408, 22.863, 21.2064, 19.43, 17.7635,
6040  16.7613, 15.6868, 14.5346, 13.4018, 12.5408, 11.6176,
6041  10.6675, 10.0087, 9.30229, 8.64204, 8.02116, 7.40948,
6042  6.85305, 6.3533, 5.92991, 5.5156, 5.09817, 4.68943,
6043  4.33922, 4.03385, 3.72993, 3.42057, 3.16883, 2.94812,
6044  2.6806, 2.44796, 2.25481, 2.06908, 1.88523, 1.7284,
6045  1.57474, 1.43695, 1.29776, 1.1809, 1.06252, 0.956375,
6046  0.851034, 0.755145, 0.664873, 0.579826, 0.502818, 0.429582,
6047  0.363855, 0.296964, 0.238123, 0.180722, 0.131417, 0.0853502,
6048  0.0460567, 0.0, 0.0, 0.0, 0.0, 0.0,
6049  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6050  0.0, 0.0, 507.261, 498.282, 488.653, 478.329,
6051  467.258, 455.388, 442.659, 429.011, 414.376, 398.684,
6052  381.858, 363.815, 344.469, 323.725, 301.482, 277.631,
6053  252.057, 224.634, 195.23, 163.7, 129.892, 93.6412,
6054  54.7703, 50.0861, 47.9566, 45.6731, 43.2247, 40.5992,
6055  37.7841, 34.7655, 31.5288, 28.0582, 25.9533, 24.5706,
6056  23.088, 21.4982, 19.7935, 18.0309, 16.9975, 15.8893,
6057  14.7011, 13.4627, 12.6641, 11.8077, 10.8895, 10.1827,
6058  9.44432, 8.72781, 8.09209, 7.45662, 6.97366, 6.48143,
6059  6.01392, 5.56466, 5.13632, 4.81821, 4.43203, 4.06856,
6060  3.76588, 3.48001, 3.20006, 2.95992, 2.71863, 2.46277,
6061  2.28936, 2.1014, 1.92141, 1.74434, 1.60741, 1.46915,
6062  1.31313, 1.19717, 1.07749, 0.969094, 0.871168, 0.76729,
6063  0.681203, 0.596107, 0.515746, 0.441139, 0.375241, 0.309476,
6064  0.248741, 0.191622, 0.140599, 0.0927935, 0.0520279, 0.0,
6065  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6066  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6067  513.141, 504.173, 494.557, 484.245, 473.189, 461.334,
6068  448.622, 434.991, 420.375, 404.703, 387.898, 369.879,
6069  350.558, 329.84, 307.626, 283.806, 258.264, 230.877,
6070  201.51, 170.021, 136.257, 100.052, 61.2313, 50.2492,
6071  48.1651, 45.9304, 43.5342, 40.9648, 38.2098, 35.2557,
6072  32.088, 28.6915, 26.2332, 24.857, 23.3815, 21.7993,
6073  20.1027, 18.2836, 17.2005, 16.1286, 14.9792, 13.7468,
6074  12.8683, 11.9764, 11.02, 10.2713, 9.55269, 8.82445,
6075  8.21202, 7.56138, 7.06273, 6.53981, 6.05285, 5.61222,
6076  5.23368, 4.8294, 4.46978, 4.1322, 3.79644, 3.51494,
6077  3.2534, 2.97753, 2.72294, 2.52172, 2.31395, 2.12264,
6078  1.95085, 1.78748, 1.61856, 1.47712, 1.34649, 1.21467,
6079  1.10157, 0.984346, 0.885718, 0.784577, 0.697187, 0.611379,
6080  0.529362, 0.453667, 0.387406, 0.321297, 0.259574, 0.200793,
6081  0.149294, 0.10122, 0.0589139, 0.0, 0.0, 0.0,
6082  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6083  0.0, 0.0, 0.0, 0.0, 509.206, 500.444,
6084  491.049, 480.974, 470.172, 458.589, 446.169, 432.851,
6085  418.571, 403.259, 386.841, 369.236, 350.358, 330.117,
6086  308.412, 285.14, 260.185, 233.427, 204.735, 173.969,
6087  140.981, 105.608, 67.679, 50.7367, 48.6563, 46.4255,
6088  44.0335, 41.4686, 38.7184, 35.7695, 32.6074, 29.2168,
6089  26.38, 25.0067, 23.5342, 21.9553, 20.2623, 18.4469,
6090  17.2309, 16.1822, 15.0576, 13.8518, 12.9052, 12.0161,
6091  11.0628, 10.2778, 9.59223, 8.86667, 8.2999, 7.69217,
6092  7.11955, 6.5179, 6.11714, 5.69158, 5.23301, 4.85015,
6093  4.49851, 4.17493, 3.87304, 3.54022, 3.30592, 2.99272,
6094  2.78515, 2.54507, 2.35999, 2.16217, 1.96944, 1.81168,
6095  1.65075, 1.50571, 1.35952, 1.23236, 1.12522, 0.997866,
6096  0.896383, 0.800926, 0.705811, 0.622354, 0.542867, 0.466591,
6097  0.396333, 0.330645, 0.270487, 0.212192, 0.158013, 0.109276,
6098  0.0657935, 0.0, 0.0, 0.0, 0.0, 0.0,
6099  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6100  0.0, 0.0, 513.537, 504.799, 495.43, 485.384,
6101  474.611, 463.061, 450.675, 437.394, 423.154, 407.885,
6102  391.512, 373.956, 355.131, 334.945, 313.301, 290.093,
6103  265.208, 238.524, 209.912, 179.232, 146.335, 111.061,
6104  73.2372, 50.2263, 48.2453, 46.1212, 43.8437, 41.4015,
6105  38.7828, 35.9749, 32.9641, 29.7357, 26.6626, 25.3082,
6106  23.8559, 22.2986, 20.6288, 18.8384, 17.4787, 16.4271,
6107  15.2996, 14.0905, 13.0897, 12.238, 11.3248, 10.485,
6108  9.7596, 8.98181, 8.38344, 7.77349, 7.23536, 6.70755,
6109  6.21444, 5.72269, 5.3138, 4.93556, 4.57326, 4.21484,
6110  3.89413, 3.60727, 3.32323, 3.05027, 2.83799, 2.60657,
6111  2.38224, 2.18601, 2.01355, 1.83165, 1.65764, 1.51145,
6112  1.38267, 1.25213, 1.13628, 1.0231, 0.912469, 0.819283,
6113  0.725298, 0.642148, 0.555582, 0.482192, 0.411327, 0.342009,
6114  0.281033, 0.222488, 0.168145, 0.11832, 0.0730541, 0.0351652,
6115  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6116  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6117  513.858, 505.239, 495.997, 486.087, 475.462, 464.068,
6118  451.851, 438.751, 424.705, 409.643, 393.493, 376.176,
6119  357.607, 337.696, 316.347, 293.454, 268.907, 242.587,
6120  214.364, 184.101, 151.652, 116.857, 79.5483, 50.7647,
6121  48.7806, 46.653, 44.3718, 41.9256, 39.3027, 36.4903,
6122  33.4746, 30.2409, 26.806, 25.4795, 24.0571, 22.5319,
6123  20.8965, 19.1429, 17.6611, 16.6184, 15.5004, 14.3016,
6124  13.2207, 12.3514, 11.4192, 10.5413, 9.90246, 9.21749,
6125  8.56881, 7.90653, 7.32199, 6.801, 6.30135, 5.79668,
6126  5.39577, 4.99363, 4.60259, 4.2574, 3.93398, 3.62977,
6127  3.35304, 3.09727, 2.84991, 2.6351, 2.4111, 2.21463,
6128  2.03504, 1.84404, 1.6877, 1.54271, 1.40449, 1.2789,
6129  1.15135, 1.04113, 0.926537, 0.826003, 0.744636, 0.651466,
6130  0.570456, 0.49326, 0.420649, 0.354276, 0.292551, 0.23178,
6131  0.175974, 0.126803, 0.0800821, 0.0410194, 0.0, 0.0,
6132  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6133  0.0, 0.0, 0.0, 0.0, 509.307, 500.891,
6134  491.867, 482.191, 471.815, 460.69, 448.761, 435.969,
6135  422.254, 407.547, 391.777, 374.868, 356.736, 337.295,
6136  316.448, 294.095, 270.126, 244.425, 216.867, 187.318,
6137  155.633, 121.658, 85.2275, 51.1933, 49.2137, 47.091,
6138  44.815, 42.3744, 39.7575, 36.9515, 33.9427, 30.7164,
6139  27.257, 25.6274, 24.2358, 22.7435, 21.1434, 19.4276,
6140  17.8326, 16.7921, 15.6764, 14.4801, 13.3357, 12.5026,
6141  11.6093, 10.6935, 9.98367, 9.22253, 8.57, 7.99731,
6142  7.42408, 6.87405, 6.35756, 5.87757, 5.45055, 5.03835,
6143  4.65196, 4.28034, 3.96147, 3.65323, 3.36732, 3.11627,
6144  2.86046, 2.65518, 2.46003, 2.24007, 2.05275, 1.87571,
6145  1.71588, 1.56424, 1.42247, 1.29296, 1.16717, 1.05343,
6146  0.948795, 0.843949, 0.749973, 0.663946, 0.581965, 0.502827,
6147  0.435891, 0.364765, 0.300987, 0.24241, 0.187482, 0.134338,
6148  0.0878855, 0.0469746, 0.0, 0.0, 0.0, 0.0,
6149  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6150  0.0, 0.0, 513.67, 505.294, 496.313, 486.682,
6151  476.356, 465.284, 453.411, 440.681, 427.03, 412.393,
6152  396.698, 379.869, 361.824, 342.475, 321.727, 299.48,
6153  275.625, 250.046, 222.619, 193.21, 161.675, 127.862,
6154  91.6048, 52.7275, 49.8846, 47.7761, 45.5152, 43.0909,
6155  40.4914, 37.704, 34.7152, 31.5105, 28.0741, 26.0435,
6156  24.5852, 23.0215, 21.3449, 19.547, 17.7471, 16.7815,
6157  15.7462, 14.6361, 13.4883, 12.6043, 11.6563, 10.6399,
6158  9.97702, 9.2734, 8.60838, 8.02448, 7.44274, 6.9631,
6159  6.45543, 5.92371, 5.45185, 5.02206, 4.6903, 4.36507,
6160  4.05099, 3.72163, 3.40156, 3.15119, 2.90323, 2.64979,
6161  2.44473, 2.27192, 2.07596, 1.89493, 1.75028, 1.58474,
6162  1.43644, 1.31064, 1.18953, 1.06903, 0.959548, 0.858173,
6163  0.76575, 0.677783, 0.59514, 0.515406, 0.441598, 0.377029,
6164  0.309751, 0.250073, 0.194941, 0.143198, 0.0948182, 0.0528861,
6165  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6166  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6167  514.682, 506.392, 497.502, 487.97, 477.75, 466.791,
6168  455.039, 442.439, 428.928, 414.44, 398.906, 382.249,
6169  364.388, 345.236, 324.701, 302.681, 279.07, 253.753,
6170  226.606, 197.497, 166.285, 132.817, 96.9305, 58.4505,
6171  49.8333, 47.7614, 45.5399, 43.1577, 40.6034, 37.8645,
6172  34.9277, 31.7787, 28.4021, 26.0885, 24.7055, 23.2225,
6173  21.6323, 19.9273, 18.099, 17.0265, 15.9063, 14.7052,
6174  13.4173, 12.648, 11.8492, 10.9926, 10.2602, 9.51375,
6175  8.76816, 8.12572, 7.45791, 6.96359, 6.45673, 6.00873,
6176  5.55572, 5.0991, 4.72095, 4.37279, 4.06266, 3.77334,
6177  3.47268, 3.19933, 2.94466, 2.72107, 2.498, 2.29743,
6178  2.11697, 1.92002, 1.76084, 1.61014, 1.46387, 1.33207,
6179  1.19265, 1.08436, 0.976588, 0.86981, 0.779177, 0.689438,
6180  0.60636, 0.529632, 0.455531, 0.386463, 0.321338, 0.262239,
6181  0.204288, 0.153644, 0.102671, 0.0598127, 0.0, 0.0,
6182  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6183  0.0, 0.0, 0.0, 0.0, 515.7, 507.501,
6184  498.708, 489.281, 479.172, 468.332, 456.709, 444.247,
6185  430.883, 416.554, 401.189, 384.714, 367.049, 348.106,
6186  327.795, 306.016, 282.663, 257.622, 230.772, 201.981,
6187  171.11, 138.008, 102.513, 64.4539, 50.1646, 48.0851,
6188  45.8554, 43.4646, 40.9009, 38.152, 35.2045, 32.0439,
6189  28.655, 25.9952, 24.645, 23.1972, 21.6447, 19.9801,
6190  18.1952, 17.0416, 15.9797, 14.841, 13.6201, 12.7273,
6191  11.871, 10.9529, 10.1933, 9.48769, 8.75824, 8.19234,
6192  7.58555, 7.06354, 6.51816, 6.04504, 5.58821, 5.18292,
6193  4.81653, 4.43934, 4.08497, 3.80695, 3.48858, 3.2252,
6194  2.96737, 2.75641, 2.54141, 2.32545, 2.12244, 1.9573,
6195  1.78229, 1.63006, 1.48789, 1.34703, 1.21648, 1.10133,
6196  0.992907, 0.892039, 0.796214, 0.709482, 0.618055, 0.54145,
6197  0.462352, 0.397546, 0.330893, 0.270907, 0.213248, 0.158796,
6198  0.111198, 0.0657921, 0.0, 0.0, 0.0, 0.0,
6199  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6200  0.0, 0.0, 507.312, 499.354, 490.822, 481.673,
6201  471.862, 461.343, 450.064, 437.969, 425.0, 411.095,
6202  396.184, 380.196, 363.052, 344.669, 324.958, 303.822,
6203  281.159, 256.858, 230.801, 202.861, 172.902, 140.778,
6204  106.332, 69.3968, 49.9686, 47.9624, 45.8112, 43.5046,
6205  41.0313, 38.3793, 35.5356, 32.4864, 29.2168, 26.298,
6206  24.9619, 23.5291, 21.9929, 20.3456, 18.5793, 17.2897,
6207  16.216, 15.0647, 13.8302, 12.8687, 12.0296, 11.1299,
6208  10.339, 9.64861, 8.90837, 8.29087, 7.63508, 7.113,
6209  6.60287, 6.1445, 5.67726, 5.22478, 4.84543, 4.49699,
6210  4.15982, 3.82335, 3.53153, 3.26435, 3.0345, 2.77303,
6211  2.55799, 2.36387, 2.14023, 1.95916, 1.81439, 1.65104,
6212  1.5067, 1.36514, 1.24078, 1.11643, 1.01393, 0.900364,
6213  0.806874, 0.71933, 0.635675, 0.55098, 0.474414, 0.410697,
6214  0.339684, 0.281457, 0.222714, 0.169267, 0.11903, 0.0726099,
6215  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6216  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6217  518.049, 510.01, 501.389, 492.146, 482.234, 471.607,
6218  460.211, 447.992, 434.889, 420.84, 405.776, 389.623,
6219  372.302, 353.73, 333.816, 312.462, 289.565, 265.014,
6220  238.688, 210.46, 180.192, 147.737, 112.936, 75.6201,
6221  50.3805, 48.3772, 46.2292, 43.9259, 41.4562, 38.808,
6222  35.9684, 32.9236, 29.6587, 26.4063, 25.0833, 23.6647,
6223  22.1436, 20.5125, 18.7636, 17.3675, 16.3239, 15.2049,
6224  14.0051, 12.9931, 12.1761, 11.3001, 10.464, 9.73725,
6225  8.95802, 8.32766, 7.69855, 7.16939, 6.68538, 6.19983,
6226  5.70217, 5.29717, 4.91295, 4.55096, 4.21002, 3.88317,
6227  3.57904, 3.30266, 3.05859, 2.82251, 2.56946, 2.37424,
6228  2.17568, 2.00365, 1.83676, 1.68023, 1.5291, 1.38331,
6229  1.25342, 1.13486, 1.02966, 0.920046, 0.820461, 0.732138,
6230  0.647094, 0.562299, 0.489936, 0.419374, 0.353098, 0.290959,
6231  0.232633, 0.176759, 0.125992, 0.0791113, 0.0395765, 0.0,
6232  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6233  0.0, 0.0, 0.0, 0.0, 515.709, 507.806,
6234  499.332, 490.245, 480.502, 470.055, 458.853, 446.841,
6235  433.961, 420.151, 405.342, 389.463, 372.437, 354.18,
6236  334.604, 313.614, 291.106, 266.971, 241.093, 213.344,
6237  183.591, 151.686, 117.477, 80.7946, 50.4622, 48.4958,
6238  46.3873, 44.1265, 41.7022, 39.1027, 36.3154, 33.3267,
6239  30.122, 26.6856, 25.2768, 23.8621, 22.345, 20.7184,
6240  18.9742, 17.4581, 16.438, 15.3441, 14.1713, 13.0975,
6241  12.2716, 11.386, 10.5127, 9.8258, 9.08924, 8.43472,
6242  7.80059, 7.22081, 6.70358, 6.23239, 5.78248, 5.36633,
6243  4.95614, 4.56709, 4.25073, 3.89333, 3.60043, 3.33943,
6244  3.08773, 2.84033, 2.58816, 2.37572, 2.19835, 2.02357,
6245  1.85414, 1.68337, 1.53565, 1.40059, 1.27863, 1.14931,
6246  1.03169, 0.930553, 0.836546, 0.738653, 0.652797, 0.57677,
6247  0.497752, 0.425552, 0.36218, 0.298982, 0.240391, 0.185726,
6248  0.13443, 0.0873495, 0.0454505, 0.0, 0.0, 0.0,
6249  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6250  0.0, 0.0, 519.153, 511.295, 502.87, 493.835,
6251  484.147, 473.759, 462.621, 450.678, 437.871, 424.139,
6252  409.415, 393.626, 376.697, 358.544, 339.079, 318.208,
6253  295.828, 271.831, 246.1, 218.509, 188.924, 157.201,
6254  123.186, 86.7126, 51.0667, 49.0994, 46.9899, 44.728,
6255  42.3026, 39.702, 36.9134, 33.9233, 30.717, 27.2791,
6256  25.5739, 24.2044, 22.7359, 21.1613, 19.4729, 17.8481,
6257  16.7373, 15.5461, 14.2689, 13.0508, 12.2832, 11.4601,
6258  10.6021, 9.91918, 9.18691, 8.5145, 7.89685, 7.30088,
6259  6.78686, 6.3083, 5.88135, 5.45341, 5.02954, 4.63974,
6260  4.30482, 3.96578, 3.66598, 3.38654, 3.10698, 2.86563,
6261  2.62494, 2.42322, 2.24282, 2.04586, 1.88209, 1.71451,
6262  1.56735, 1.42563, 1.28669, 1.16382, 1.04636, 0.941508,
6263  0.845788, 0.752743, 0.670239, 0.584368, 0.509875, 0.439441,
6264  0.372308, 0.308666, 0.249523, 0.193416, 0.141573, 0.0936564,
6265  0.0508915, 0.0, 0.0, 0.0, 0.0, 0.0,
6266  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6267  517.071, 509.338, 501.046, 492.155, 482.621, 472.398,
6268  461.437, 449.683, 437.08, 423.566, 409.075, 393.538,
6269  376.877, 359.013, 339.857, 319.317, 297.293, 273.677,
6270  248.354, 221.202, 192.087, 160.868, 127.393, 91.4988,
6271  53.0107, 49.0954, 47.0234, 44.8016, 42.4193, 39.8648,
6272  37.1257, 34.1886, 31.0393, 27.6624, 25.6231, 24.2246,
6273  22.725, 21.117, 19.3928, 17.6316, 16.6457, 15.5886,
6274  14.4551, 13.2789, 12.4639, 11.59, 10.6529, 9.96525,
6275  9.24343, 8.54872, 7.9331, 7.31552, 6.8166, 6.32515,
6276  5.89239, 5.46851, 5.04961, 4.67463, 4.3314, 4.02441,
6277  3.72701, 3.42205, 3.1429, 2.89994, 2.67873, 2.46642,
6278  2.25775, 2.07476, 1.89726, 1.73808, 1.58161, 1.44498,
6279  1.31234, 1.18193, 1.07422, 0.961332, 0.862709, 0.772904,
6280  0.677615, 0.600052, 0.519631, 0.447364, 0.381081, 0.316867,
6281  0.257377, 0.202284, 0.149181, 0.100894, 0.0573276, 0.0,
6282  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6283  0.0, 0.0, 0.0, 0.0, 513.981, 506.395,
6284  498.262, 489.541, 480.19, 470.163, 459.411, 447.883,
6285  435.521, 422.266, 408.052, 392.812, 376.471, 358.948,
6286  340.159, 320.013, 298.41, 275.246, 250.408, 223.776,
6287  195.218, 164.597, 131.763, 96.5563, 58.8051, 49.6399,
6288  47.5528, 45.3149, 42.9152, 40.3422, 37.5831, 34.6247,
6289  31.4525, 28.051, 25.6848, 24.3031, 22.8216, 21.233,
6290  19.5296, 17.7032, 16.7109, 15.6988, 14.6136, 13.45,
6291  12.5982, 11.7098, 10.7571, 10.03, 9.31996, 8.61494,
6292  8.03625, 7.42689, 6.923, 6.40471, 5.95068, 5.52051,
6293  5.11597, 4.75133, 4.39892, 4.06126, 3.74367, 3.46284,
6294  3.21216, 2.92378, 2.67699, 2.47835, 2.27501, 2.07451,
6295  1.90923, 1.75398, 1.58771, 1.4573, 1.31637, 1.19656,
6296  1.08372, 0.9742, 0.875044, 0.777373, 0.686293, 0.609263,
6297  0.530557, 0.456912, 0.39051, 0.326746, 0.265308, 0.211229,
6298  0.156556, 0.10755, 0.0631567, 0.0, 0.0, 0.0,
6299  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6300  0.0, 0.0, 514.999, 507.486, 499.431, 490.793,
6301  481.531, 471.6, 460.951, 449.533, 437.289, 424.161,
6302  410.084, 394.989, 378.804, 361.449, 342.84, 322.886,
6303  301.49, 278.547, 253.947, 227.569, 199.285, 168.956,
6304  136.436, 101.566, 64.1756, 49.8829, 47.8248, 45.6179,
6305  43.2516, 40.7143, 37.9936, 35.0763, 31.9482, 28.594,
6306  25.933, 24.562, 23.092, 21.5158, 19.8256, 18.0133,
6307  16.8537, 15.7986, 14.6672, 13.454, 12.5867, 11.7662,
6308  10.8865, 10.1381, 9.43261, 8.70201, 8.13833, 7.53391,
6309  7.01734, 6.47936, 6.03969, 5.58297, 5.1186, 4.74885,
6310  4.40333, 4.07486, 3.75805, 3.4603, 3.18647, 2.95961,
6311  2.72497, 2.52948, 2.30335, 2.11509, 1.93436, 1.77344,
6312  1.62791, 1.47304, 1.34313, 1.2141, 1.0933, 0.984021,
6313  0.886747, 0.795563, 0.704623, 0.619177, 0.540114, 0.469896,
6314  0.398968, 0.336222, 0.273562, 0.218868, 0.163743, 0.114985,
6315  0.0696557, 0.0, 0.0, 0.0, 0.0, 0.0,
6316  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6317  515.391, 507.951, 499.973, 491.419, 482.247, 472.411,
6318  461.865, 450.557, 438.431, 425.429, 411.488, 396.539,
6319  380.51, 363.322, 344.892, 325.131, 303.941, 281.22,
6320  256.857, 230.733, 202.722, 172.686, 140.479, 105.945,
6321  68.9158, 49.6219, 47.6392, 45.5133, 43.2337, 40.7893,
6322  38.1683, 35.3579, 32.3444, 29.1131, 26.2261, 24.8541,
6323  23.383, 21.8056, 20.1142, 18.3005, 17.0154, 15.9676,
6324  14.8441, 13.6395, 12.6946, 11.8616, 10.9683, 10.1799,
6325  9.48553, 8.74095, 8.14491, 7.51206, 6.98065, 6.45012,
6326  6.03125, 5.60976, 5.19632, 4.79371, 4.42678, 4.11911,
6327  3.81561, 3.54198, 3.2258, 2.99922, 2.75575, 2.54525,
6328  2.32783, 2.14026, 1.95569, 1.78788, 1.63604, 1.49258,
6329  1.36983, 1.23308, 1.10289, 1.00538, 0.908558, 0.803855,
6330  0.712233, 0.629406, 0.551152, 0.476163, 0.409691, 0.342701,
6331  0.283409, 0.226216, 0.171492, 0.122276, 0.0754294, 0.0,
6332  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6333  0.0, 0.0, 0.0, 0.0, 517.021, 509.642,
6334  501.73, 493.247, 484.15, 474.396, 463.937, 452.722,
6335  440.697, 427.802, 413.976, 399.15, 383.254, 366.208,
6336  347.93, 328.332, 307.317, 284.784, 260.622, 234.714,
6337  206.934, 177.146, 145.206, 110.957, 74.2335, 49.972,
6338  48.0037, 45.8932, 43.6302, 41.2036, 38.6017, 35.8117,
6339  32.8201, 29.6123, 26.4421, 25.0608, 23.5797, 21.9915,
6340  20.2886, 18.4626, 17.0442, 16.0034, 14.8875, 13.6908,
6341  12.699, 11.9032, 11.0499, 10.253, 9.58097, 8.86042,
6342  8.26894, 7.67185, 7.12359, 6.58504, 6.13757, 5.69897,
6343  5.23812, 4.82537, 4.46377, 4.15601, 3.79927, 3.53862,
6344  3.27349, 3.00533, 2.77934, 2.54645, 2.35267, 2.15311,
6345  1.98181, 1.80512, 1.65882, 1.50438, 1.37454, 1.23955,
6346  1.12947, 1.01269, 0.909578, 0.819169, 0.723044, 0.642416,
6347  0.563117, 0.488336, 0.419199, 0.353631, 0.292498, 0.234478,
6348  0.18082, 0.129243, 0.0826931, 0.0414752, 0.0, 0.0,
6349  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6350  0.0, 0.0, 518.95, 511.618, 503.756, 495.325,
6351  486.286, 476.593, 466.199, 455.055, 443.105, 430.292,
6352  416.552, 401.82, 386.023, 369.085, 350.922, 331.447,
6353  310.564, 288.172, 264.162, 238.417, 210.812, 181.211,
6354  149.471, 115.438, 78.9448, 49.7499, 47.811, 45.732,
6355  43.5028, 41.1125, 38.5494, 35.8011, 32.8542, 29.6943,
6356  26.3061, 24.961, 23.5509, 22.0389, 20.4176, 18.6792,
6357  17.1935, 16.1809, 15.0952, 13.931, 12.8754, 12.049,
6358  11.1629, 10.3101, 9.67305, 8.99, 8.35498, 7.71729,
6359  7.13953, 6.61972, 6.16104, 5.72787, 5.27302, 4.86568,
6360  4.52915, 4.22689, 3.85003, 3.55331, 3.30551, 3.05366,
6361  2.77325, 2.56084, 2.3685, 2.1802, 2.00794, 1.8114,
6362  1.66689, 1.53033, 1.38966, 1.25565, 1.13508, 1.03485,
6363  0.922027, 0.831653, 0.737512, 0.656374, 0.576767, 0.497059,
6364  0.430047, 0.360972, 0.301157, 0.242884, 0.188282, 0.136979,
6365  0.0890415, 0.0463879, 0.0, 0.0, 0.0, 0.0,
6366  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6367  518.012, 510.788, 503.043, 494.738, 485.832, 476.283,
6368  466.045, 455.066, 443.293, 430.67, 417.135, 402.622,
6369  387.059, 370.372, 352.48, 333.294, 312.721, 290.662,
6370  267.009, 241.646, 214.451, 185.29, 154.022, 120.494,
6371  84.5429, 50.764, 48.8045, 46.7033, 44.4504, 42.0346,
6372  39.4442, 36.6667, 33.6884, 30.4948, 27.0705, 25.4186,
6373  24.0071, 22.4937, 20.8709, 19.1308, 17.5038, 16.4296,
6374  15.2778, 14.0428, 12.8796, 12.1038, 11.2719, 10.4157,
6375  9.73912, 9.01364, 8.37319, 7.79537, 7.22421, 6.69,
6376  6.18357, 5.70878, 5.34112, 4.97365, 4.57451, 4.21428,
6377  3.89461, 3.6152, 3.33584, 3.07665, 2.83752, 2.60577,
6378  2.39913, 2.21786, 2.03214, 1.85043, 1.68801, 1.53144,
6379  1.40123, 1.28012, 1.15538, 1.04007, 0.932627, 0.836834,
6380  0.746373, 0.664233, 0.582171, 0.507409, 0.43472, 0.369404,
6381  0.309301, 0.249655, 0.195483, 0.143374, 0.0958897, 0.052109,
6382  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6383  0.0, 0.0, 0.0, 0.0, 512.594, 505.538,
6384  497.973, 489.861, 481.162, 471.835, 461.834, 451.11,
6385  439.612, 427.282, 414.061, 399.885, 384.684, 368.385,
6386  350.908, 332.167, 312.073, 290.526, 267.423, 242.649,
6387  216.085, 187.602, 157.06, 124.311, 89.1956, 51.5422,
6388  49.3447, 47.2306, 44.9638, 42.5331, 39.9267, 37.132,
6389  34.1354, 30.9222, 27.4767, 25.4958, 24.0581, 22.5164,
6390  20.8633, 19.0908, 17.3318, 16.3662, 15.3309, 14.2208,
6391  13.0857, 12.2542, 11.3625, 10.4067, 9.76236, 9.0715,
6392  8.43808, 7.90367, 7.35138, 6.82078, 6.29551, 5.80941,
6393  5.38705, 4.98591, 4.58807, 4.26061, 3.95044, 3.65578,
6394  3.38975, 3.11436, 2.8494, 2.62106, 2.42773, 2.20739,
6395  2.03915, 1.86926, 1.7088, 1.56629, 1.42575, 1.29541,
6396  1.1716, 1.0562, 0.950057, 0.850399, 0.761971, 0.673121,
6397  0.592277, 0.517292, 0.445984, 0.38001, 0.317039, 0.258297,
6398  0.202973, 0.150304, 0.102399, 0.0577507, 0.0, 0.0,
6399  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6400  0.0, 0.0, 518.824, 511.743, 504.151, 496.01,
6401  487.281, 477.921, 467.885, 457.123, 445.584, 433.211,
6402  419.943, 405.717, 390.463, 374.106, 356.567, 337.761,
6403  317.596, 295.973, 272.788, 247.927, 221.27, 192.686,
6404  162.036, 129.172, 93.9325, 56.1464, 49.1023, 47.0447,
6405  44.8385, 42.4728, 39.9362, 37.2163, 34.2998, 31.1725,
6406  27.8192, 25.581, 24.1569, 22.63, 20.9926, 19.237,
6407  17.3614, 16.4354, 15.4425, 14.3779, 13.2363, 12.4491,
6408  11.6057, 10.7014, 9.97516, 9.23411, 8.52771, 7.97978,
6409  7.40154, 6.84726, 6.30533, 5.8971, 5.47832, 5.04891,
6410  4.64977, 4.29015, 3.97009, 3.66851, 3.37504, 3.1397,
6411  2.91858, 2.66907, 2.46303, 2.24737, 2.06474, 1.89126,
6412  1.73229, 1.5816, 1.44043, 1.30456, 1.19251, 1.07036,
6413  0.965288, 0.867709, 0.76398, 0.679227, 0.605505, 0.526448,
6414  0.45496, 0.389847, 0.325484, 0.266461, 0.211124, 0.1575,
6415  0.108644, 0.0640112, 0.0, 0.0, 0.0, 0.0,
6416  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6417  520.406, 513.373, 505.831, 497.743, 489.072, 479.774,
6418  469.804, 459.113, 447.65, 435.358, 422.178, 408.045,
6419  392.892, 376.643, 359.22, 340.537, 320.505, 299.025,
6420  275.992, 251.296, 224.814, 196.419, 165.971, 133.323,
6421  98.3161, 60.779, 48.9311, 46.9047, 44.7318, 42.4018,
6422  39.9035, 37.2247, 34.3522, 31.2722, 27.9696, 25.51,
6423  24.1837, 22.7615, 21.2365, 19.6013, 17.8479, 16.7654,
6424  15.7203, 14.5997, 13.3981, 12.5337, 11.6729, 10.7499,
6425  9.98878, 9.25565, 8.52019, 7.98046, 7.40173, 6.89293,
6426  6.36406, 5.93589, 5.49085, 5.03214, 4.68005, 4.33918,
6427  4.02226, 3.73494, 3.43275, 3.15807, 2.92628, 2.69792,
6428  2.47672, 2.27761, 2.09225, 1.9069, 1.74576, 1.60452,
6429  1.44165, 1.32308, 1.19379, 1.0888, 0.973655, 0.872089,
6430  0.778589, 0.694867, 0.612625, 0.537124, 0.464505, 0.396517,
6431  0.332278, 0.273759, 0.218905, 0.165363, 0.11541, 0.0694851,
6432  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6433  0.0, 0.0, 0.0, 0.0, 520.892, 513.928,
6434  506.461, 498.455, 489.87, 480.664, 470.794, 460.21,
6435  448.861, 436.692, 423.643, 409.652, 394.65, 378.563,
6436  361.314, 342.818, 322.985, 301.72, 278.917, 254.467,
6437  228.249, 200.137, 169.994, 137.672, 103.014, 65.8517,
6438  49.3105, 47.3051, 45.1547, 42.849, 40.3766, 37.7256,
6439  34.8829, 31.8349, 28.5665, 25.8204, 24.4525, 22.9858,
6440  21.413, 19.7266, 17.9184, 16.7298, 15.716, 14.6289,
6441  13.4632, 12.5673, 11.7348, 10.8422, 10.085, 9.40402,
6442  8.68216, 8.08689, 7.44861, 6.9562, 6.45793, 5.99398,
6443  5.52758, 5.09507, 4.71824, 4.3638, 4.03651, 3.74812,
6444  3.45693, 3.2013, 2.94268, 2.68701, 2.5118, 2.28528,
6445  2.09969, 1.93596, 1.77133, 1.61599, 1.47565, 1.34068,
6446  1.21, 1.10211, 0.98939, 0.887989, 0.792647, 0.703967,
6447  0.62042, 0.544318, 0.47578, 0.405422, 0.340631, 0.280341,
6448  0.226346, 0.173791, 0.122008, 0.0755526, 0.0, 0.0,
6449  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6450  0.0, 0.0, 522.98, 516.065, 508.65, 500.699,
6451  492.173, 483.032, 473.229, 462.719, 451.449, 439.364,
6452  426.406, 412.511, 397.613, 381.638, 364.508, 346.14,
6453  326.445, 305.327, 282.682, 258.401, 232.365, 204.448,
6454  174.513, 142.415, 107.998, 71.0928, 49.8771, 47.8573,
6455  45.6916, 43.3693, 40.8792, 38.2092, 35.3462, 32.2763,
6456  28.9845, 25.9397, 24.6162, 23.197, 21.6753, 20.0436,
6457  18.294, 16.9985, 15.975, 14.8775, 13.7007, 12.7278,
6458  11.8728, 10.956, 10.1509, 9.48286, 8.76657, 8.15467,
6459  7.51284, 6.98247, 6.47033, 6.05618, 5.64009, 5.21266,
6460  4.78802, 4.3973, 4.08266, 3.79003, 3.48885, 3.23497,
6461  2.95533, 2.73862, 2.53259, 2.31476, 2.14019, 1.95487,
6462  1.77856, 1.63193, 1.49004, 1.35822, 1.20738, 1.11141,
6463  1.00236, 0.894024, 0.797004, 0.712338, 0.631017, 0.553654,
6464  0.481345, 0.413283, 0.347723, 0.289811, 0.233043, 0.178612,
6465  0.128691, 0.081928, 0.0397659, 0.0, 0.0, 0.0,
6466  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6467  527.456, 520.536, 513.116, 505.16, 496.628, 487.481,
6468  477.672, 467.154, 455.876, 443.783, 430.817, 416.913,
6469  402.004, 386.018, 368.877, 350.497, 330.789, 309.656,
6470  286.997, 262.699, 236.646, 208.71, 178.756, 146.636,
6471  112.195, 75.2656, 49.2908, 47.3483, 45.2655, 43.0321,
6472  40.6373, 38.0695, 35.3161, 32.3637, 29.1979, 25.985,
6473  24.7122, 23.3474, 21.884, 20.3148, 18.6322, 17.229,
6474  16.1462, 14.9852, 13.7404, 12.6995, 11.9028, 11.0486,
6475  10.2409, 9.57489, 8.86071, 8.23218, 7.59532, 7.06864,
6476  6.60428, 6.11448, 5.60292, 5.22514, 4.85882, 4.5031,
6477  4.14571, 3.8073, 3.53719, 3.27247, 2.99226, 2.76373,
6478  2.54594, 2.33618, 2.15241, 1.96979, 1.79174, 1.64224,
6479  1.49885, 1.36012, 1.24541, 1.11281, 1.01301, 0.910067,
6480  0.812745, 0.723272, 0.641165, 0.560742, 0.490209, 0.422916,
6481  0.360991, 0.298199, 0.238873, 0.187185, 0.135183, 0.0875828,
6482  0.045158, 0.0, 0.0, 0.0, 0.0, 0.0,
6483  0.0, 0.0, 0.0, 0.0, 516.143, 509.463,
6484  502.299, 494.618, 486.382, 477.55, 468.081, 457.927,
6485  447.039, 435.365, 422.846, 409.423, 395.03, 379.597,
6486  363.049, 345.305, 326.278, 305.876, 284.0, 260.543,
6487  235.391, 208.421, 179.503, 148.494, 115.244, 79.5917,
6488  49.8844, 47.9218, 45.8175, 43.561, 41.1415, 38.5472,
6489  35.7653, 32.7825, 29.584, 26.1545, 24.777, 23.4121,
6490  21.9485, 20.3792, 18.6965, 17.2203, 16.2127, 15.1323,
6491  13.9738, 12.9058, 12.0766, 11.1876, 10.3067, 9.60615,
6492  8.85502, 8.24024, 7.67897, 7.12391, 6.57866, 6.08182,
6493  5.60874, 5.24625, 4.89265, 4.54707, 4.18837, 3.84982,
6494  3.55612, 3.27573, 3.03728, 2.79877, 2.55748, 2.36869,
6495  2.16498, 1.9896, 1.81229, 1.66263, 1.5187, 1.3774,
6496  1.25299, 1.14484, 1.02796, 0.922076, 0.829299, 0.739043,
6497  0.649907, 0.572651, 0.496971, 0.430974, 0.366282, 0.30467,
6498  0.247336, 0.192381, 0.142632, 0.0942592, 0.050319, 0.0,
6499  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6500  0.0, 0.0, 519.891, 513.223, 506.073, 498.406,
6501  490.185, 481.37, 471.918, 461.783, 450.915, 439.262,
6502  426.767, 413.369, 399.003, 383.598, 367.081, 349.369,
6503  330.378, 310.014, 288.179, 264.765, 239.66, 212.74,
6504  183.875, 152.924, 119.736, 84.1494, 49.9105, 47.9892,
6505  45.929, 43.7199, 41.3512, 38.8113, 36.0878, 33.1675,
6506  30.0362, 26.6786, 25.0196, 23.6479, 22.177, 20.5999,
6507  18.9087, 17.3174, 16.3087, 15.2271, 14.0673, 12.9482,
6508  12.1562, 11.3069, 10.4291, 9.75872, 9.03991, 8.39517,
6509  7.81281, 7.22854, 6.67322, 6.17309, 5.74365, 5.32981,
6510  4.92875, 4.56884, 4.21463, 3.8976, 3.61478, 3.32315,
6511  3.06017, 2.82346, 2.59152, 2.40884, 2.19078, 2.01989,
6512  1.8359, 1.68922, 1.53306, 1.41231, 1.27104, 1.15385,
6513  1.03759, 0.93436, 0.83611, 0.744415, 0.661244, 0.58159,
6514  0.50518, 0.441304, 0.375218, 0.311813, 0.254017, 0.199657,
6515  0.148734, 0.100705, 0.0562806, 0.0, 0.0, 0.0,
6516  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6517  525.416, 518.744, 511.589, 503.917, 495.691, 486.87,
6518  477.412, 467.27, 456.396, 444.735, 432.232, 418.826,
6519  404.45, 389.036, 372.507, 354.785, 335.781, 315.404,
6520  293.554, 270.126, 245.004, 218.067, 189.183, 158.212,
6521  125.003, 89.3935, 51.2109, 48.6146, 46.5519, 44.3401,
6522  41.9685, 39.4255, 36.6987, 33.7748, 30.6397, 27.278,
6523  25.323, 23.927, 22.43, 20.8249, 19.1038, 17.3752,
6524  16.3639, 15.2796, 14.1169, 12.935, 12.1712, 11.3522,
6525  10.474, 9.83924, 9.16206, 8.49413, 7.86025, 7.23884,
6526  6.75682, 6.25497, 5.74472, 5.34615, 4.99229, 4.6308,
6527  4.26743, 3.92643, 3.63623, 3.34935, 3.06956, 2.85197,
6528  2.60474, 2.39771, 2.22057, 2.04132, 1.85353, 1.69815,
6529  1.55461, 1.40353, 1.28068, 1.16708, 1.05524, 0.944086,
6530  0.843863, 0.756896, 0.67402, 0.587858, 0.515724, 0.448367,
6531  0.380343, 0.319896, 0.261829, 0.208487, 0.155151, 0.105803,
6532  0.0616065, 0.0, 0.0, 0.0, 0.0, 0.0,
6533  0.0, 0.0, 0.0, 0.0, 529.383, 522.714,
6534  515.563, 507.895, 499.673, 490.857, 481.403, 471.267,
6535  460.398, 448.743, 436.246, 422.847, 408.478, 393.072,
6536  376.552, 358.838, 339.844, 319.477, 297.638, 274.222,
6537  249.113, 222.189, 193.32, 162.364, 129.172, 93.5803,
6538  55.4168, 48.2905, 46.3004, 44.1665, 41.8784, 39.4249,
6539  36.7941, 33.9732, 30.9484, 27.705, 25.5272, 24.1347,
6540  22.6415, 21.0405, 19.3237, 17.487, 16.4731, 15.3859,
6541  14.2202, 12.9702, 12.2028, 11.382, 10.5019, 9.83237,
6542  9.15767, 8.49141, 7.91426, 7.31405, 6.80512, 6.28718,
6543  5.82452, 5.41834, 5.05209, 4.64022, 4.27352, 3.95281,
6544  3.67356, 3.40416, 3.12411, 2.88314, 2.64037, 2.42895,
6545  2.23834, 2.04922, 1.86976, 1.7058, 1.58214, 1.44133,
6546  1.30184, 1.17217, 1.07122, 0.96445, 0.854336, 0.771965,
6547  0.682361, 0.600132, 0.525178, 0.453296, 0.390114, 0.326406,
6548  0.268339, 0.213577, 0.162083, 0.11235, 0.0671467, 0.0,
6549  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6550  0.0, 0.0, 523.709, 517.188, 510.195, 502.697,
6551  494.657, 486.036, 476.792, 466.88, 456.252, 444.855,
6552  432.635, 419.532, 405.482, 390.417, 374.262, 356.941,
6553  338.367, 318.452, 297.097, 274.199, 249.646, 223.319,
6554  195.089, 164.819, 132.361, 97.5582, 60.24, 48.7317,
6555  46.7167, 44.5561, 42.2394, 39.7552, 37.0915, 34.2353,
6556  31.1728, 27.8888, 25.456, 24.1287, 22.7055, 21.1794,
6557  19.543, 17.7884, 16.675, 15.5852, 14.4166, 13.1636,
6558  12.3561, 11.5686, 10.7242, 9.98745, 9.2563, 8.52381,
6559  7.97926, 7.39591, 6.87849, 6.33833, 5.87412, 5.43709,
6560  5.04596, 4.65045, 4.296, 3.97605, 3.67465, 3.40377,
6561  3.08941, 2.91257, 2.69647, 2.45407, 2.26201, 2.08016,
6562  1.8976, 1.73534, 1.57769, 1.44394, 1.31078, 1.19399,
6563  1.08432, 0.969802, 0.865696, 0.774559, 0.693668, 0.610314,
6564  0.534747, 0.462067, 0.398274, 0.335908, 0.275138, 0.222214,
6565  0.168382, 0.118922, 0.0729408, 0.0, 0.0, 0.0,
6566  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6567  518.686, 512.297, 505.447, 498.103, 490.227, 481.782,
6568  472.727, 463.017, 452.606, 441.442, 429.472, 416.636,
6569  402.873, 388.115, 372.291, 355.323, 337.129, 317.621,
6570  296.702, 274.271, 250.22, 224.43, 196.777, 167.126,
6571  135.331, 101.239, 64.6827, 48.9983, 46.9887, 44.8338,
6572  42.5232, 40.0456, 37.389, 34.5404, 31.4859, 28.2107,
6573  25.5092, 24.1782, 22.7511, 21.2208, 19.58, 17.8205,
6574  16.6434, 15.6066, 14.4949, 13.3028, 12.4204, 11.6056,
6575  10.7319, 9.99396, 9.32426, 8.61634, 8.01586, 7.37199,
6576  6.89673, 6.41571, 5.95308, 5.4849, 5.04146, 4.69959,
6577  4.35663, 4.00296, 3.69171, 3.44206, 3.18949, 2.92773,
6578  2.68593, 2.47218, 2.24564, 2.07829, 1.91257, 1.74307,
6579  1.59871, 1.44899, 1.32167, 1.1956, 1.09594, 0.989367,
6580  0.878098, 0.787795, 0.700772, 0.618108, 0.545976, 0.475083,
6581  0.403935, 0.342213, 0.281754, 0.22557, 0.175981, 0.125876,
6582  0.0779856, 0.0, 0.0, 0.0, 0.0, 0.0,
6583  0.0, 0.0, 0.0, 0.0, 521.131, 514.767,
6584  507.942, 500.624, 492.778, 484.364, 475.342, 465.669,
6585  455.296, 444.174, 432.248, 419.46, 405.748, 391.045,
6586  375.279, 358.374, 340.248, 320.811, 299.97, 277.623,
6587  253.66, 227.967, 200.416, 170.874, 139.197, 105.231,
6588  68.8109, 48.8448, 46.8986, 44.8117, 42.574, 40.1745,
6589  37.6017, 34.843, 31.8849, 28.713, 25.8251, 24.4989,
6590  23.0768, 21.5519, 19.9168, 18.1636, 16.8875, 15.8598,
6591  14.7579, 13.5763, 12.6007, 11.7248, 10.7856, 9.99139,
6592  9.35088, 8.66408, 8.04934, 7.3976, 6.90086, 6.43132,
6593  5.96155, 5.49741, 5.1344, 4.76595, 4.40151, 4.06023,
6594  3.76102, 3.50568, 3.17767, 2.95064, 2.73087, 2.51405,
6595  2.32143, 2.10309, 1.92927, 1.78463, 1.61435, 1.47018,
6596  1.34401, 1.21773, 1.0942, 0.998119, 0.888776, 0.79619,
6597  0.708323, 0.624683, 0.548238, 0.478362, 0.411325, 0.347108,
6598  0.288498, 0.233111, 0.180005, 0.131038, 0.0835391, 0.0414034,
6599  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6600  0.0, 0.0, 524.953, 518.604, 511.797, 504.497,
6601  496.67, 488.277, 479.278, 469.628, 459.281, 448.186,
6602  436.29, 423.533, 409.855, 395.188, 379.462, 362.598,
6603  344.517, 325.128, 304.339, 282.046, 258.143, 232.513,
6604  205.03, 175.561, 143.963, 110.081, 73.7503, 49.4633,
6605  47.4947, 45.3838, 43.1203, 40.6933, 38.0909, 35.3004,
6606  32.3082, 29.0998, 25.9185, 24.5924, 23.1704, 21.6456,
6607  20.0106, 18.2575, 16.8787, 15.8598, 14.7673, 13.5958,
6608  12.5976, 11.7715, 10.8857, 10.0776, 9.43682, 8.74977,
6609  8.15282, 7.54293, 6.99313, 6.46134, 6.02222, 5.599,
6610  5.19911, 4.8209, 4.45681, 4.0879, 3.78568, 3.48004,
6611  3.22125, 2.99566, 2.76, 2.53211, 2.3017, 2.13197,
6612  1.94722, 1.78011, 1.62648, 1.49852, 1.35887, 1.22497,
6613  1.11292, 1.00493, 0.896323, 0.806001, 0.716628, 0.637942,
6614  0.551736, 0.483124, 0.417129, 0.355296, 0.294945, 0.238127,
6615  0.186295, 0.137437, 0.0893245, 0.0461802, 0.0, 0.0,
6616  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6617  524.484, 518.199, 511.46, 504.235, 496.487, 488.179,
6618  479.271, 469.719, 459.476, 448.494, 436.718, 424.09,
6619  410.551, 396.032, 380.465, 363.773, 345.874, 326.682,
6620  306.102, 284.036, 260.375, 235.004, 207.8, 178.629,
6621  147.35, 113.812, 77.8488, 49.5059, 47.5881, 45.5318,
6622  43.3268, 40.9625, 38.4273, 35.7089, 32.7941, 29.6686,
6623  26.3172, 24.97, 23.5298, 21.9856, 20.3297, 18.5542,
6624  17.0534, 16.0339, 14.9407, 13.7685, 12.7028, 11.8492,
6625  10.9339, 10.0644, 9.43321, 8.75638, 8.17124, 7.60288,
6626  7.06116, 6.54114, 6.04342, 5.5436, 5.18243, 4.8332,
6627  4.49376, 4.11214, 3.8086, 3.52612, 3.27459, 2.99554,
6628  2.78061, 2.56486, 2.35728, 2.15205, 1.96135, 1.79082,
6629  1.6585, 1.51405, 1.36699, 1.24383, 1.12675, 1.00622,
6630  0.911851, 0.814043, 0.725059, 0.64521, 0.56662, 0.495122,
6631  0.425704, 0.362092, 0.304256, 0.246053, 0.193297, 0.14246,
6632  0.095234, 0.0508951, 0.0, 0.0, 0.0, 0.0,
6633  0.0, 0.0, 0.0, 0.0, 526.176, 519.929,
6634  513.231, 506.049, 498.347, 490.089, 481.234, 471.739,
6635  461.558, 450.641, 438.936, 426.384, 412.925, 398.494,
6636  383.02, 366.427, 348.636, 329.558, 309.102, 287.168,
6637  263.649, 238.43, 211.388, 182.392, 151.301, 117.963,
6638  82.2152, 49.7512, 47.8055, 45.7192, 43.4821, 41.0833,
6639  38.5112, 35.7532, 32.7959, 29.6249, 26.2248, 24.7151,
6640  23.3891, 21.9672, 20.4425, 18.8077, 17.289, 16.2278,
6641  15.0901, 13.87, 12.7372, 11.9638, 11.1345, 10.2933,
6642  9.64674, 8.95346, 8.30556, 7.67772, 7.09952, 6.61507,
6643  6.13302, 5.65022, 5.26475, 4.89241, 4.5273, 4.12918,
6644  3.81471, 3.53973, 3.28009, 3.04637, 2.7992, 2.55586,
6645  2.36781, 2.17389, 1.96468, 1.82448, 1.66491, 1.52119,
6646  1.38019, 1.24446, 1.13974, 1.02531, 0.92439, 0.82546,
6647  0.735176, 0.650547, 0.575657, 0.50204, 0.43152, 0.372223,
6648  0.310283, 0.255064, 0.199957, 0.148957, 0.101148, 0.0565775,
6649  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6650  0.0, 0.0, 527.228, 521.027, 514.379, 507.25,
6651  499.606, 491.409, 482.621, 473.197, 463.092, 452.256,
6652  440.638, 428.18, 414.822, 400.498, 385.14, 368.671,
6653  351.012, 332.077, 311.774, 290.003, 266.659, 241.628,
6654  214.789, 186.009, 155.15, 122.06, 86.5798, 50.1125,
6655  48.1951, 46.1392, 43.9346, 41.5708, 39.0361, 36.3183,
6656  33.404, 30.2791, 26.9285, 25.1006, 23.689, 22.1753,
6657  20.5523, 18.812, 17.1266, 16.1413, 15.0847, 13.9518,
6658  12.8314, 12.0824, 11.2792, 10.4287, 9.73123, 8.98337,
6659  8.32905, 7.7913, 7.2266, 6.64898, 6.13786, 5.74595,
6660  5.30279, 4.85649, 4.48937, 4.17127, 3.88253, 3.58238,
6661  3.32011, 3.08398, 2.81702, 2.61327, 2.39104, 2.18515,
6662  2.03014, 1.84019, 1.68414, 1.53168, 1.40587, 1.26989,
6663  1.14798, 1.03779, 0.937671, 0.835002, 0.749881, 0.661109,
6664  0.585839, 0.511255, 0.439923, 0.376638, 0.317012, 0.260036,
6665  0.206836, 0.155374, 0.10704, 0.0613873, 0.0, 0.0,
6666  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6667  530.258, 524.076, 517.446, 510.338, 502.716, 494.543,
6668  485.78, 476.383, 466.307, 455.503, 443.918, 431.496,
6669  418.176, 403.894, 388.579, 372.158, 354.55, 335.67,
6670  315.425, 293.717, 270.441, 245.482, 218.719, 190.023,
6671  159.253, 126.258, 90.8801, 52.9449, 48.3656, 46.307,
6672  44.0997, 41.7329, 39.195, 36.4738, 33.5558, 30.4271,
6673  27.0721, 25.0188, 23.6548, 22.1922, 20.6239, 18.9422,
6674  17.2101, 16.2931, 15.3098, 14.2554, 13.1498, 12.3383,
6675  11.4681, 10.535, 9.80917, 9.05027, 8.34099, 7.765,
6676  7.17902, 6.68714, 6.19186, 5.73667, 5.33266, 4.95934,
6677  4.62263, 4.24775, 3.90881, 3.61286, 3.34926, 3.10869,
6678  2.84578, 2.59725, 2.40505, 2.19533, 2.00791, 1.85314,
6679  1.69196, 1.5419, 1.41296, 1.27979, 1.16495, 1.05438,
6680  0.947127, 0.846848, 0.756742, 0.674115, 0.590364, 0.519653,
6681  0.450223, 0.383002, 0.326078, 0.27094, 0.212567, 0.16001,
6682  0.1127, 0.066699, 0.0, 0.0, 0.0, 0.0,
6683  0.0, 0.0, 0.0, 0.0, 528.561, 522.446,
6684  515.888, 508.857, 501.318, 493.234, 484.565, 475.27,
6685  465.304, 454.617, 443.158, 430.87, 417.695, 403.568,
6686  388.419, 372.176, 354.759, 336.084, 316.058, 294.586,
6687  271.562, 246.874, 220.401, 192.016, 161.58, 128.943,
6688  93.9487, 56.425, 47.7485, 45.7605, 43.6289, 41.3432,
6689  38.8923, 36.2643, 33.4464, 30.4248, 27.1849, 24.9687,
6690  23.6834, 22.3053, 20.8276, 19.243, 17.544, 16.5269,
6691  15.4705, 14.3377, 13.1231, 12.3279, 11.5013, 10.6149,
6692  9.91528, 9.22052, 8.53319, 7.96833, 7.3685, 6.79358,
6693  6.21317, 5.74715, 5.33441, 4.97483, 4.63277, 4.2784,
6694  3.92833, 3.62442, 3.37286, 3.07273, 2.86812, 2.66109,
6695  2.42345, 2.22233, 2.03906, 1.86681, 1.71103, 1.56486,
6696  1.41359, 1.29168, 1.18256, 1.06196, 0.955735, 0.861176,
6697  0.765586, 0.681576, 0.599307, 0.525814, 0.458916, 0.388004,
6698  0.328725, 0.272704, 0.218462, 0.16741, 0.118223, 0.0723462,
6699  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6700  0.0, 0.0, 525.826, 519.809, 513.357, 506.438,
6701  499.02, 491.066, 482.537, 473.391, 463.585, 453.07,
6702  441.795, 429.705, 416.742, 402.841, 387.936, 371.954,
6703  354.817, 336.442, 316.739, 295.611, 272.957, 248.666,
6704  222.619, 194.69, 164.743, 132.631, 98.1991, 61.2786,
6705  48.5932, 46.5931, 44.4484, 42.1487, 39.6829, 37.0388,
6706  34.2037, 31.1637, 27.904, 25.4048, 24.0751, 22.6493,
6707  21.1205, 19.4812, 17.7235, 16.6043, 15.5447, 14.4086,
6708  13.1904, 12.355, 11.551, 10.689, 9.9515, 9.2386,
6709  8.50933, 7.93955, 7.3286, 6.77984, 6.21688, 5.87045,
6710  5.48648, 5.05641, 4.68215, 4.31125, 3.96589, 3.67355,
6711  3.38777, 3.12508, 2.90842, 2.66777, 2.43848, 2.26186,
6712  2.05804, 1.88979, 1.71539, 1.57488, 1.43808, 1.29962,
6713  1.19001, 1.07261, 0.969329, 0.869463, 0.777201, 0.685863,
6714  0.603597, 0.530944, 0.465375, 0.400418, 0.336755, 0.277704,
6715  0.224889, 0.172067, 0.123869, 0.0773369, 0.0, 0.0,
6716  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6717  519.757, 513.867, 507.551, 500.779, 493.518, 485.731,
6718  477.382, 468.43, 458.831, 448.538, 437.501, 425.667,
6719  412.977, 399.371, 384.781, 369.137, 352.362, 334.375,
6720  315.088, 294.407, 272.231, 248.453, 222.957, 195.618,
6721  166.304, 134.871, 101.166, 65.0257, 48.5859, 46.6343,
6722  44.5417, 42.2979, 39.892, 37.3122, 34.5459, 31.5797,
6723  28.3992, 25.6995, 24.348, 22.8989, 21.345, 19.6788,
6724  17.8922, 16.6793, 15.6355, 14.5163, 13.3162, 12.4402,
6725  11.6572, 10.8176, 10.0578, 9.33894, 8.57728, 8.01136,
6726  7.40453, 6.9023, 6.38874, 5.94175, 5.49769, 5.09797,
6727  4.69227, 4.32161, 4.0034, 3.69195, 3.42486, 3.15817,
6728  2.91918, 2.6796, 2.45964, 2.24244, 2.08015, 1.89707,
6729  1.73566, 1.60045, 1.45179, 1.3148, 1.20005, 1.08019,
6730  0.974679, 0.876139, 0.773482, 0.705449, 0.615317, 0.543493,
6731  0.468319, 0.402773, 0.343639, 0.285381, 0.228935, 0.179214,
6732  0.128845, 0.0830249, 0.0, 0.0, 0.0, 0.0,
6733  0.0, 0.0, 0.0, 0.0, 526.363, 520.451,
6734  514.112, 507.314, 500.025, 492.21, 483.83, 474.844,
6735  465.208, 454.877, 443.798, 431.92, 419.182, 405.525,
6736  390.88, 375.177, 358.339, 340.284, 320.924, 300.166,
6737  277.907, 254.04, 228.447, 201.006, 171.581, 140.03,
6738  106.198, 69.9221, 49.3541, 47.3353, 45.1706, 42.8494,
6739  40.3605, 37.6918, 34.8301, 31.7617, 28.4715, 25.454,
6740  24.1642, 22.7811, 21.2981, 19.7078, 18.0027, 16.7462,
6741  15.7466, 14.6748, 13.5255, 12.5638, 11.7028, 10.7795,
6742  9.98794, 9.35007, 8.6661, 8.0811, 7.46594, 6.95324,
6743  6.45392, 5.98388, 5.5192, 5.14384, 4.76279, 4.39652,
6744  4.06662, 3.70222, 3.46045, 3.22237, 2.95635, 2.71419,
6745  2.47541, 2.30095, 2.10454, 1.92921, 1.76984, 1.60902,
6746  1.46622, 1.34124, 1.21528, 1.09348, 0.985688, 0.885207,
6747  0.789592, 0.706214, 0.625304, 0.547513, 0.479182, 0.410782,
6748  0.352201, 0.291777, 0.234944, 0.18357, 0.134068, 0.0877756,
6749  0.0443062, 0.0, 0.0, 0.0, 0.0, 0.0,
6750  0.0, 0.0, 528.0, 522.109, 515.792, 509.019,
6751  501.756, 493.968, 485.618, 476.664, 467.063, 456.768,
6752  445.729, 433.892, 421.201, 407.591, 392.999, 377.351,
6753  360.573, 342.583, 323.292, 302.608, 280.428, 256.646,
6754  231.144, 203.8, 174.48, 143.041, 109.33, 73.1833,
6755  48.7047, 46.7844, 44.7253, 42.5174, 40.15, 37.6115,
6756  34.8895, 31.9708, 28.8411, 25.7198, 24.4374, 23.0624,
6757  21.588, 20.007, 18.3118, 16.9507, 15.9249, 14.825,
6758  13.6456, 12.6536, 11.8572, 11.0033, 10.189, 9.48365,
6759  8.7273, 8.14364, 7.57, 7.01657, 6.45866, 6.01472,
6760  5.59563, 5.19947, 4.79866, 4.412, 4.08341, 3.75557,
6761  3.49246, 3.21878, 2.96635, 2.74543, 2.52015, 2.32867,
6762  2.13642, 1.95602, 1.78688, 1.63323, 1.47296, 1.35208,
6763  1.21795, 1.1128, 0.995555, 0.901514, 0.804188, 0.715989,
6764  0.631823, 0.556408, 0.487268, 0.417511, 0.35641, 0.295398,
6765  0.243158, 0.190408, 0.140155, 0.0934213, 0.0488878, 0.0,
6766  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6767  532.265, 526.383, 520.076, 513.313, 506.061, 498.285,
6768  489.947, 481.007, 471.421, 461.141, 450.119, 438.3,
6769  425.628, 412.039, 397.469, 381.845, 365.092, 347.129,
6770  327.868, 307.214, 285.068, 261.322, 235.859, 208.556,
6771  179.281, 147.889, 114.229, 78.1369, 49.6648, 47.7003,
6772  45.5939, 43.3353, 40.9134, 38.3166, 35.532, 32.5462,
6773  29.3447, 25.9118, 24.6044, 23.2083, 21.7114, 20.1063,
6774  18.3851, 16.9272, 15.932, 14.865, 13.7208, 12.6955,
6775  11.9017, 11.0504, 10.211, 9.50867, 8.7556, 8.15794,
6776  7.60541, 7.07177, 6.5525, 6.06516, 5.58194, 5.17434,
6777  4.7815, 4.41838, 4.1123, 3.81269, 3.49914, 3.2357,
6778  2.98711, 2.77491, 2.52826, 2.33463, 2.14611, 1.9635,
6779  1.79758, 1.64654, 1.50959, 1.35915, 1.23548, 1.12659,
6780  1.00969, 0.904519, 0.810583, 0.724161, 0.639998, 0.563167,
6781  0.491642, 0.424893, 0.364558, 0.30369, 0.246722, 0.195895,
6782  0.146628, 0.0986422, 0.0536309, 0.0, 0.0, 0.0,
6783  0.0, 0.0, 0.0, 0.0, 530.913, 525.091,
6784  518.849, 512.156, 504.98, 497.284, 489.033, 480.185,
6785  470.698, 460.525, 449.618, 437.921, 425.38, 411.932,
6786  397.513, 382.051, 365.472, 347.695, 328.633, 308.194,
6787  286.277, 262.777, 237.578, 210.558, 181.586, 150.52,
6788  117.209, 81.4905, 49.35, 47.4451, 45.4026, 43.2125,
6789  40.864, 38.3459, 35.6458, 32.7505, 29.6461, 26.3172,
6790  24.7755, 23.3793, 21.8822, 20.2769, 18.5556, 17.0069,
6791  16.0399, 15.0029, 13.891, 12.8244, 11.9854, 11.0857,
6792  10.1877, 9.55976, 8.8865, 8.29461, 7.74812, 7.18227,
6793  6.60336, 6.0981, 5.65835, 5.22689, 4.80642, 4.4188,
6794  4.06906, 3.80691, 3.55413, 3.30305, 3.03184, 2.79184,
6795  2.55385, 2.33325, 2.15002, 1.98279, 1.80002, 1.6574,
6796  1.5068, 1.37629, 1.25675, 1.13258, 1.0212, 0.920042,
6797  0.832116, 0.729967, 0.650576, 0.569142, 0.500149, 0.4328,
6798  0.368655, 0.309615, 0.252156, 0.201791, 0.151209, 0.103835,
6799  0.0589115, 0.0, 0.0, 0.0, 0.0, 0.0,
6800  0.0, 0.0, 529.902, 524.145, 517.972, 511.353,
6801  504.255, 496.645, 488.484, 479.734, 470.352, 460.292,
6802  449.504, 437.937, 425.534, 412.235, 397.975, 382.684,
6803  366.288, 348.707, 329.855, 309.642, 287.967, 264.726,
6804  239.806, 213.085, 184.432, 153.709, 120.766, 85.4417,
6805  49.7268, 47.8111, 45.7569, 43.5543, 41.1925, 38.66,
6806  35.9445, 33.0327, 29.9105, 26.5627, 24.8072, 23.4446,
6807  21.9835, 20.4168, 18.7369, 17.121, 16.1496, 15.1081,
6808  13.9914, 12.8814, 12.0691, 11.1982, 10.2872, 9.6527,
6809  8.97231, 8.3103, 7.67085, 7.07109, 6.61487, 6.17113,
6810  5.75676, 5.30919, 4.86421, 4.48739, 4.19701, 3.89548,
6811  3.58287, 3.29514, 3.04401, 2.79279, 2.56757, 2.38908,
6812  2.1739, 1.99972, 1.82941, 1.66277, 1.5285, 1.39158,
6813  1.26394, 1.13681, 1.03187, 0.928016, 0.829757, 0.743335,
6814  0.660909, 0.578644, 0.50136, 0.439658, 0.373754, 0.316715,
6815  0.261091, 0.207043, 0.156118, 0.109238, 0.0633478, 0.0,
6816  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6817  526.655, 520.982, 514.898, 508.375, 501.381, 493.882,
6818  485.84, 477.217, 467.971, 458.057, 447.426, 436.027,
6819  423.805, 410.699, 396.646, 381.577, 365.419, 348.094,
6820  329.517, 309.597, 288.238, 265.335, 240.776, 214.444,
6821  186.208, 155.931, 123.467, 88.6563, 51.3301, 47.7198,
6822  45.7106, 43.5563, 41.2463, 38.7694, 36.1134, 33.2655,
6823  30.2119, 26.9375, 24.9743, 23.6231, 22.1742, 20.6206,
6824  18.9548, 17.2553, 16.2751, 15.224, 14.097, 12.933,
6825  12.159, 11.3291, 10.4393, 9.75058, 9.02361, 8.31892,
6826  7.68276, 7.05627, 6.59187, 6.14424, 5.77067, 5.35665,
6827  4.92873, 4.59067, 4.23087, 3.89159, 3.59318, 3.32909,
6828  3.07372, 2.81647, 2.59849, 2.38292, 2.20817, 1.99668,
6829  1.83205, 1.68492, 1.54362, 1.40328, 1.27276, 1.15457,
6830  1.04752, 0.938201, 0.840742, 0.750765, 0.668737, 0.58612,
6831  0.51257, 0.44564, 0.382718, 0.321132, 0.265124, 0.212166,
6832  0.162855, 0.11357, 0.0683003, 0.0, 0.0, 0.0,
6833  0.0, 0.0, 0.0, 0.0, 537.408, 531.665,
6834  525.508, 518.905, 511.826, 504.234, 496.094, 487.366,
6835  478.007, 467.972, 457.211, 445.673, 433.301, 420.035,
6836  405.811, 390.558, 374.203, 356.666, 337.862, 317.699,
6837  296.078, 272.896, 248.038, 221.383, 192.802, 162.156,
6838  129.295, 94.0594, 56.2773, 48.6877, 46.625, 44.4133,
6839  42.0418, 39.4988, 36.7721, 33.8483, 30.7133, 27.3517,
6840  25.1168, 23.7651, 22.3157, 20.7616, 19.0951, 17.3083,
6841  16.3077, 15.2422, 14.0998, 12.8748, 12.1307, 11.3423,
6842  10.4969, 9.78736, 9.06092, 8.36543, 7.8321, 7.27424,
6843  6.78972, 6.28437, 5.7932, 5.34464, 4.93456, 4.59413,
6844  4.25846, 3.93862, 3.64205, 3.3607, 3.08556, 2.82475,
6845  2.61424, 2.41399, 2.20796, 2.03374, 1.86632, 1.72195,
6846  1.54812, 1.42383, 1.27897, 1.1607, 1.05624, 0.949691,
6847  0.850068, 0.75739, 0.67691, 0.593305, 0.521887, 0.453586,
6848  0.390268, 0.329772, 0.271176, 0.217358, 0.167399, 0.117842,
6849  0.0733259, 0.0, 0.0, 0.0, 0.0, 0.0,
6850  0.0, 0.0, 530.961, 525.333, 519.298, 512.827,
6851  505.888, 498.448, 490.471, 481.916, 472.744, 462.909,
6852  452.363, 441.054, 428.929, 415.927, 401.986, 387.037,
6853  371.008, 353.821, 335.391, 315.63, 294.441, 271.72,
6854  247.357, 221.234, 193.223, 163.187, 130.981, 96.4474,
6855  59.4182, 48.1791, 46.2002, 44.0784, 41.8032, 39.3636,
6856  36.7477, 33.9428, 30.9352, 27.7102, 25.3165, 23.9807,
6857  22.5484, 21.0125, 19.3657, 17.5998, 16.5112, 15.4482,
6858  14.3085, 13.0863, 12.2852, 11.4975, 10.6529, 9.91725,
6859  9.18636, 8.45524, 7.91001, 7.32607, 6.7722, 6.20861,
6860  5.83197, 5.42732, 4.99241, 4.61929, 4.2679, 3.93828,
6861  3.63913, 3.39018, 3.09346, 2.86727, 2.63059, 2.4483,
6862  2.221, 2.0494, 1.86835, 1.72584, 1.57072, 1.43,
6863  1.28991, 1.18347, 1.06077, 0.956302, 0.867465, 0.772216,
6864  0.685033, 0.609354, 0.528123, 0.457003, 0.396038, 0.331743,
6865  0.276691, 0.225059, 0.171604, 0.125012, 0.0786068, 0.0,
6866  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6867  527.905, 522.368, 516.431, 510.065, 503.238, 495.919,
6868  488.07, 479.655, 470.631, 460.955, 450.58, 439.455,
6869  427.526, 414.735, 401.02, 386.313, 370.544, 353.635,
6870  335.504, 316.063, 295.216, 272.864, 248.896, 223.196,
6871  195.638, 166.089, 134.405, 100.431, 64.0017, 49.1181,
6872  47.0787, 44.8919, 42.5471, 40.0329, 37.3369, 34.4462,
6873  31.3465, 28.0228, 25.3454, 24.0391, 22.6384, 21.1365,
6874  19.526, 17.7992, 16.6036, 15.5063, 14.3297, 13.0681,
6875  12.2278, 11.478, 10.674, 9.91959, 9.17073, 8.3958,
6876  7.88513, 7.33756, 6.85778, 6.35577, 5.87646, 5.41039,
6877  5.00275, 4.66446, 4.32585, 3.98547, 3.67109, 3.37899,
6878  3.12549, 2.90888, 2.67568, 2.45506, 2.24737, 2.06807,
6879  1.90045, 1.74374, 1.58463, 1.4196, 1.29707, 1.18097,
6880  1.06999, 0.969481, 0.864907, 0.777464, 0.697335, 0.612703,
6881  0.534415, 0.464857, 0.399446, 0.340141, 0.283766, 0.22887,
6882  0.176952, 0.128945, 0.0833393, 0.0, 0.0, 0.0,
6883  0.0, 0.0, 0.0, 0.0, 531.36, 525.821,
6884  519.881, 513.512, 506.683, 499.361, 491.509, 483.09,
6885  474.063, 464.383, 454.003, 442.874, 430.94, 418.144,
6886  404.423, 389.71, 373.934, 357.019, 338.88, 319.431,
6887  298.576, 276.215, 252.237, 226.526, 198.958, 169.397,
6888  137.699, 103.711, 67.2672, 48.6584, 46.7001, 44.6003,
6889  42.3487, 39.9344, 37.3456, 34.5697, 31.5932, 28.4017,
6890  25.5868, 24.287, 22.8932, 21.3987, 19.7963, 18.078,
6891  16.8163, 15.741, 14.588, 13.3516, 12.4068, 11.5824,
6892  10.6985, 9.92322, 9.23944, 8.50624, 7.97445, 7.40927,
6893  6.89312, 6.36217, 5.92632, 5.49242, 5.09266, 4.69363,
6894  4.33031, 4.02674, 3.7103, 3.41986, 3.14952, 2.88281,
6895  2.66843, 2.47286, 2.26996, 2.08523, 1.8915, 1.74985,
6896  1.59441, 1.46027, 1.32175, 1.21941, 1.08382, 0.9677,
6897  0.869912, 0.789151, 0.697288, 0.618405, 0.541473, 0.472055,
6898  0.405476, 0.342659, 0.288126, 0.234313, 0.181783, 0.134627,
6899  0.0881583, 0.0, 0.0, 0.0, 0.0, 0.0,
6900  0.0, 0.0, 530.476, 524.995, 519.118, 512.816,
6901  506.059, 498.813, 491.044, 482.713, 473.781, 464.203,
6902  453.932, 442.92, 431.111, 418.45, 404.873, 390.315,
6903  374.705, 357.967, 340.019, 320.774, 300.139, 278.012,
6904  254.286, 228.846, 201.567, 172.317, 140.952, 107.322,
6905  71.2605, 49.1094, 47.1491, 45.0471, 42.7932, 40.3764,
6906  37.785, 35.0063, 32.0267, 28.8319, 25.7813, 24.4504,
6907  23.0234, 21.4933, 19.8525, 18.0932, 16.7746, 15.781,
6908  14.7156, 13.5732, 12.5981, 11.7434, 10.8271, 9.98952,
6909  9.27752, 8.51407, 8.00092, 7.49374, 6.96193, 6.39692,
6910  5.9324, 5.48817, 5.13671, 4.76703, 4.39097, 4.03472,
6911  3.76543, 3.45289, 3.19016, 2.92371, 2.72069, 2.50336,
6912  2.28807, 2.08777, 1.92823, 1.77815, 1.61432, 1.47576,
6913  1.34263, 1.21577, 1.09226, 0.984175, 0.879015, 0.791973,
6914  0.707617, 0.629645, 0.548998, 0.48186, 0.41178, 0.351981,
6915  0.293024, 0.240224, 0.188275, 0.139937, 0.0929268, 0.0484204,
6916  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6917  528.358, 522.945, 517.14, 510.915, 504.241, 497.084,
6918  489.41, 481.182, 472.359, 462.898, 452.754, 441.876,
6919  430.212, 417.706, 404.296, 389.916, 374.498, 357.965,
6920  340.237, 321.228, 300.846, 278.99, 255.555, 230.427,
6921  203.482, 174.591, 143.611, 110.393, 74.7739, 49.2143,
6922  47.2729, 45.1913, 42.9592, 40.5659, 37.9995, 35.2477,
6923  32.297, 29.1331, 25.8894, 24.5738, 23.1631, 21.6504,
6924  20.0284, 18.2892, 16.9021, 15.9447, 14.918, 13.8172,
6925  12.8047, 11.9113, 10.9533, 10.0823, 9.4534, 8.77909,
6926  8.159, 7.52419, 6.94326, 6.38808, 5.93406, 5.51115,
6927  5.17734, 4.80351, 4.40634, 4.05139, 3.76694, 3.46884,
6928  3.21898, 2.96131, 2.72515, 2.5279, 2.31782, 2.09844,
6929  1.94809, 1.76845, 1.62375, 1.49248, 1.34993, 1.21799,
6930  1.1105, 0.992083, 0.889083, 0.810826, 0.720676, 0.633003,
6931  0.559754, 0.482747, 0.41864, 0.354766, 0.300203, 0.246234,
6932  0.192608, 0.14289, 0.0983717, 0.0532187, 0.0, 0.0,
6933  0.0, 0.0, 0.0, 0.0, 532.912, 527.486,
6934  521.668, 515.43, 508.74, 501.567, 493.876, 485.629,
6935  476.786, 467.304, 457.137, 446.235, 434.545, 422.01,
6936  408.57, 394.158, 378.704, 362.134, 344.367, 325.315,
6937  304.887, 282.982, 259.494, 234.309, 207.304, 178.347,
6938  147.298, 114.004, 78.305, 49.0107, 47.1024, 45.0562,
6939  42.8621, 40.5095, 37.9868, 35.2818, 32.3813, 29.2712,
6940  25.9364, 24.5815, 23.2073, 21.7338, 20.1538, 18.4597,
6941  16.9993, 16.0272, 14.9847, 13.867, 12.8168, 11.9463,
6942  11.013, 10.1096, 9.44876, 8.74021, 8.15284, 7.60692,
6943  7.06793, 6.5372, 6.06201, 5.61318, 5.21373, 4.82915,
6944  4.47131, 4.14112, 3.84485, 3.50678, 3.23584, 2.99948,
6945  2.76841, 2.49021, 2.32789, 2.16716, 1.95661, 1.79257,
6946  1.63873, 1.49265, 1.35164, 1.22873, 1.1198, 1.0132,
6947  0.912008, 0.814505, 0.723742, 0.643461, 0.563733, 0.489621,
6948  0.424053, 0.366265, 0.304808, 0.250916, 0.197837, 0.148893,
6949  0.10279, 0.0581514, 0.0, 0.0, 0.0, 0.0,
6950  0.0, 0.0, 533.642, 528.263, 522.494, 516.309,
6951  509.677, 502.566, 494.941, 486.764, 477.997, 468.597,
6952  458.517, 447.708, 436.118, 423.691, 410.366, 396.077,
6953  380.757, 364.329, 346.713, 327.825, 307.572, 285.855,
6954  262.569, 237.599, 210.826, 182.117, 151.334, 118.326,
6955  82.9332, 50.2192, 48.2118, 46.0593, 43.7513, 41.2765,
6956  38.6228, 35.7774, 32.7263, 29.4547, 25.9467, 24.4043,
6957  23.0998, 21.701, 20.2012, 18.593, 17.1001, 16.1031,
6958  15.0341, 13.8878, 12.7977, 12.0057, 11.1565, 10.2873,
6959  9.6021, 8.86742, 8.20173, 7.57896, 7.00949, 6.54816,
6960  6.08084, 5.60623, 5.22767, 4.851, 4.45676, 4.1538,
6961  3.85838, 3.55268, 3.25477, 3.01286, 2.80483, 2.55512,
6962  2.33668, 2.158, 1.97426, 1.80285, 1.66345, 1.51014,
6963  1.37522, 1.24795, 1.12156, 1.02255, 0.922377, 0.823122,
6964  0.727137, 0.647783, 0.567473, 0.496804, 0.433498, 0.370563,
6965  0.30963, 0.255373, 0.203062, 0.155247, 0.107426, 0.0624246,
6966  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
6967  534.68, 529.32, 523.574, 517.412, 510.805, 503.72,
6968  496.123, 487.978, 479.243, 469.878, 459.835, 449.067,
6969  437.521, 425.14, 411.865, 397.63, 382.367, 366.0,
6970  348.451, 329.633, 309.456, 287.82, 264.621, 239.745,
6971  213.072, 184.471, 153.803, 120.919, 85.6579, 49.4417,
6972  47.5559, 45.5339, 43.3657, 41.0409, 38.5481, 35.875,
6973  33.0089, 29.9356, 26.6402, 24.8798, 23.541, 22.1055,
6974  20.5663, 18.9158, 17.3046, 16.2943, 15.2111, 14.0496,
6975  12.8951, 12.0912, 11.2292, 10.3226, 9.70098, 9.03441,
6976  8.3745, 7.72762, 7.10782, 6.61559, 6.13329, 5.68162,
6977  5.31493, 4.94182, 4.47987, 4.14091, 3.85607, 3.59573,
6978  3.34833, 3.06083, 2.78613, 2.56864, 2.34513, 2.18773,
6979  1.99914, 1.83104, 1.67389, 1.52092, 1.38031, 1.27422,
6980  1.14263, 1.02288, 0.926894, 0.823759, 0.737027, 0.655905,
6981  0.585434, 0.504053, 0.433744, 0.372773, 0.317163, 0.262901,
6982  0.209623, 0.15703, 0.112824, 0.0667817, 0.0, 0.0,
6983  0.0, 0.0, 0.0, 0.0, 537.418, 532.069,
6984  526.334, 520.184, 513.59, 506.52, 498.938, 490.808,
6985  482.091, 472.744, 462.721, 451.975, 440.451, 428.095,
6986  414.846, 400.639, 385.405, 369.071, 351.556, 332.776,
6987  312.638, 291.045, 267.892, 243.065, 216.444, 187.9,
6988  157.292, 124.473, 89.2819, 51.5476, 47.6542, 45.6709,
6989  43.5444, 41.2641, 38.8191, 36.1973, 33.3861, 30.3718,
6990  27.1396, 25.1697, 23.8122, 22.3565, 20.7956, 19.122,
6991  17.4053, 16.3935, 15.3086, 14.1453, 12.9404, 12.15,
6992  11.3024, 10.3936, 9.71346, 8.99948, 8.33693, 7.79638,
6993  7.23677, 6.71475, 6.20464, 5.76638, 5.3318, 4.90299,
6994  4.54057, 4.1865, 3.86935, 3.57672, 3.30068, 3.061,
6995  2.81954, 2.5829, 2.37794, 2.18552, 2.00742, 1.86413,
6996  1.6698, 1.53234, 1.41674, 1.25384, 1.15961, 1.03501,
6997  0.93749, 0.837386, 0.747763, 0.661672, 0.583881, 0.509389,
6998  0.437672, 0.382765, 0.320088, 0.26611, 0.213165, 0.163068,
6999  0.117417, 0.0714864, 0.0, 0.0, 0.0, 0.0,
7000  0.0, 0.0, 530.541, 525.315, 519.712, 513.704,
7001  507.262, 500.354, 492.947, 485.005, 476.488, 467.356,
7002  457.565, 447.065, 435.807, 423.736, 410.792, 396.912,
7003  382.03, 366.072, 348.96, 330.613, 310.939, 289.843,
7004  267.223, 242.968, 216.961, 189.074, 159.171, 127.108,
7005  92.7274, 55.8623, 48.4328, 46.3994, 44.2191, 41.8811,
7006  39.3742, 36.6862, 33.8038, 30.7132, 27.3992, 25.1826,
7007  23.8262, 22.3717, 20.8121, 19.1399, 17.3467, 16.3625,
7008  15.3151, 14.1919, 12.9876, 12.2475, 11.4632, 10.6223,
7009  9.90554, 9.1694, 8.45076, 7.86036, 7.24518, 6.73098,
7010  6.21102, 5.76591, 5.3653, 4.99835, 4.59186, 4.22967,
7011  3.91216, 3.63674, 3.36158, 3.06764, 2.85505, 2.63248,
7012  2.38405, 2.19375, 2.02509, 1.86272, 1.69299, 1.54741,
7013  1.40556, 1.2827, 1.15096, 1.04092, 0.943861, 0.851331,
7014  0.759164, 0.66788, 0.587145, 0.520377, 0.448618, 0.388159,
7015  0.328193, 0.270123, 0.21987, 0.168252, 0.121422, 0.0755421,
7016  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
7017  538.125, 532.855, 527.203, 521.143, 514.645, 507.678,
7018  500.207, 492.196, 483.606, 474.395, 464.519, 453.929,
7019  442.574, 430.398, 417.342, 403.342, 388.331, 372.235,
7020  354.976, 336.47, 316.626, 295.348, 272.533, 248.069,
7021  221.836, 193.708, 163.548, 131.207, 96.5297, 59.3461,
7022  48.3134, 46.3065, 44.1545, 41.8471, 39.3729, 36.7199,
7023  33.8751, 30.8248, 27.5541, 25.1693, 23.8733, 22.4836,
7024  20.9935, 19.3957, 17.6824, 16.5887, 15.5055, 14.3439,
7025  13.0985, 12.2441, 11.3909, 10.476, 9.80177, 9.17953,
7026  8.5254, 7.88072, 7.19393, 6.7273, 6.23963, 5.80602,
7027  5.39429, 5.01757, 4.62686, 4.2748, 3.96353, 3.6679,
7028  3.35587, 3.08386, 2.87851, 2.63761, 2.42256, 2.22996,
7029  2.03204, 1.86927, 1.72612, 1.55942, 1.42121, 1.28247,
7030  1.16295, 1.05993, 0.957866, 0.857188, 0.76702, 0.680693,
7031  0.598216, 0.526121, 0.453704, 0.392296, 0.333186, 0.275776,
7032  0.222298, 0.173167, 0.125554, 0.0808526, 0.0, 0.0,
7033  0.0, 0.0, 0.0, 0.0, 541.964, 536.688,
7034  531.032, 524.966, 518.463, 511.489, 504.011, 495.993,
7035  487.396, 478.177, 468.292, 457.693, 446.327, 434.141,
7036  421.073, 407.062, 392.037, 375.927, 358.653, 340.13,
7037  320.269, 298.972, 276.137, 251.651, 225.395, 197.243,
7038  167.055, 134.686, 99.9783, 62.7619, 48.1699, 46.205,
7039  44.098, 41.8388, 39.4164, 36.8189, 34.0336, 31.0471,
7040  27.8448, 25.2836, 23.9857, 22.5941, 21.1019, 19.5019,
7041  17.7863, 16.6449, 15.6013, 14.4823, 13.2824, 12.4077,
7042  11.5814, 10.6954, 9.94001, 9.23206, 8.49919, 7.96485,
7043  7.3919, 6.87431, 6.33097, 5.84345, 5.41654, 5.13195,
7044  4.70207, 4.30346, 3.97179, 3.66556, 3.3795, 3.183,
7045  2.92396, 2.64184, 2.42664, 2.2387, 2.05592, 1.87136,
7046  1.71837, 1.58267, 1.43468, 1.29696, 1.18206, 1.06786,
7047  0.965168, 0.865915, 0.773651, 0.682962, 0.606778, 0.533186,
7048  0.463354, 0.398335, 0.336158, 0.281724, 0.228926, 0.17894,
7049  0.131198, 0.0841228, 0.0, 0.0, 0.0, 0.0,
7050  0.0, 0.0, 538.357, 533.158, 527.584, 521.607,
7051  515.198, 508.326, 500.958, 493.057, 484.584, 475.5,
7052  465.759, 455.314, 444.115, 432.105, 419.229, 405.421,
7053  390.616, 374.74, 357.718, 339.465, 319.894, 298.907,
7054  276.405, 252.276, 226.403, 198.66, 168.913, 137.016,
7055  102.814, 66.1399, 48.231, 46.2883, 44.2053, 41.9717,
7056  39.5767, 37.0087, 34.255, 31.3023, 28.1363, 25.3836,
7057  24.0643, 22.6495, 21.1326, 19.506, 17.7619, 16.5482,
7058  15.5302, 14.4386, 13.2681, 12.3818, 11.597, 10.7554,
7059  9.99583, 9.29338, 8.54081, 7.98023, 7.37914, 6.83149,
7060  6.26527, 5.88082, 5.48133, 5.04605, 4.68749, 4.34466,
7061  4.00201, 3.692, 3.42525, 3.13361, 2.93358, 2.6598,
7062  2.45406, 2.25804, 2.08286, 1.91172, 1.75092, 1.59251,
7063  1.44616, 1.31922, 1.17925, 1.08255, 0.973482, 0.87288,
7064  0.792498, 0.699799, 0.609553, 0.536725, 0.469283, 0.405681,
7065  0.342052, 0.285651, 0.236141, 0.182607, 0.135064, 0.089582,
7066  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
7067  531.228, 526.153, 520.711, 514.875, 508.619, 501.909,
7068  494.716, 487.002, 478.73, 469.861, 460.352, 450.154,
7069  439.22, 427.496, 414.924, 401.444, 386.99, 371.491,
7070  354.872, 337.052, 317.945, 297.456, 275.487, 251.93,
7071  226.671, 199.586, 170.544, 139.403, 106.012, 70.2077,
7072  49.2573, 47.3051, 45.2118, 42.9672, 40.5604, 37.9797,
7073  35.2125, 32.2453, 29.0637, 26.0752, 24.6751, 23.1738,
7074  21.564, 19.8378, 17.987, 16.68, 15.7242, 14.6992,
7075  13.6002, 12.6681, 11.8359, 10.9435, 10.1421, 9.4606,
7076  8.7298, 8.14756, 7.54418, 6.96934, 6.38019, 5.94884,
7077  5.5279, 5.09239, 4.70062, 4.35479, 4.05793, 3.67527,
7078  3.46932, 3.17843, 2.9396, 2.68008, 2.47887, 2.27248,
7079  2.09855, 1.925, 1.75838, 1.60563, 1.4669, 1.32261,
7080  1.20448, 1.08782, 0.984105, 0.881709, 0.791758, 0.695483,
7081  0.624828, 0.546608, 0.473383, 0.407689, 0.348229, 0.291177,
7082  0.238744, 0.186453, 0.140618, 0.0935997, 0.0497878, 0.0,
7083  0.0, 0.0, 0.0, 0.0, 537.348, 532.243,
7084  526.769, 520.9, 514.607, 507.858, 500.622, 492.864,
7085  484.544, 475.623, 466.058, 455.801, 444.803, 433.01,
7086  420.365, 406.807, 392.268, 376.679, 359.963, 342.039,
7087  322.82, 302.212, 280.114, 256.42, 231.013, 203.77,
7088  174.559, 143.236, 109.65, 73.6367, 49.1165, 47.1746,
7089  45.0923, 42.8595, 40.4653, 37.8982, 35.1455, 32.1939,
7090  29.0289, 25.8627, 24.5428, 23.1275, 21.6099, 19.9826,
7091  18.2378, 16.8599, 15.8572, 14.7821, 13.6292, 12.6325,
7092  11.8017, 10.9108, 10.0885, 9.42962, 8.72315, 8.14352,
7093  7.56374, 7.00334, 6.43823, 5.99346, 5.57696, 5.18792,
7094  4.80239, 4.42835, 4.08264, 3.75447, 3.48322, 3.20113,
7095  2.98346, 2.72123, 2.50055, 2.29477, 2.10293, 1.9374,
7096  1.76344, 1.60945, 1.49416, 1.33476, 1.20917, 1.1028,
7097  0.988637, 0.888735, 0.803733, 0.71226, 0.631709, 0.554979,
7098  0.483005, 0.417332, 0.355689, 0.296529, 0.244283, 0.192148,
7099  0.145295, 0.0986542, 0.0535709, 0.0, 0.0, 0.0,
7100  0.0, 0.0, 534.303, 529.263, 523.859, 518.064,
7101  511.851, 505.188, 498.044, 490.384, 482.171, 473.363,
7102  463.92, 453.793, 442.935, 431.293, 418.809, 405.422,
7103  391.069, 375.678, 359.174, 341.478, 322.504, 302.158,
7104  280.341, 256.949, 231.865, 204.969, 176.129, 145.205,
7105  112.046, 76.4909, 48.8733, 46.9656, 44.9199, 42.7265,
7106  40.3745, 37.8525, 35.1483, 32.2487, 29.1395, 25.8256,
7107  24.5155, 23.1107, 21.6044, 19.9893, 18.2574, 16.8066,
7108  15.8192, 14.7605, 13.6252, 12.6189, 11.8448, 11.0148,
7109  10.1921, 9.48183, 8.72019, 8.16335, 7.66964, 7.14517,
7110  6.58705, 6.08664, 5.6029, 5.22331, 4.82023, 4.40989,
7111  4.09134, 3.78585, 3.52132, 3.22143, 2.99099, 2.73786,
7112  2.53165, 2.33456, 2.10693, 1.94535, 1.77331, 1.63756,
7113  1.49285, 1.34697, 1.22844, 1.11512, 1.00442, 0.896041,
7114  0.805373, 0.721946, 0.636263, 0.562001, 0.487047, 0.424036,
7115  0.356678, 0.301847, 0.249035, 0.198624, 0.148579, 0.10321,
7116  0.0586451, 0.0, 0.0, 0.0, 0.0, 0.0,
7117  541.093, 536.025, 530.59, 524.763, 518.514, 511.814,
7118  504.63, 496.927, 488.667, 479.81, 470.312, 460.129,
7119  449.21, 437.501, 424.947, 411.485, 397.05, 381.572,
7120  364.976, 347.18, 328.098, 307.637, 285.697, 262.172,
7121  236.947, 209.899, 180.896, 149.798, 116.452, 80.6957,
7122  49.4955, 47.5982, 45.5639, 43.3825, 41.0435, 38.5355,
7123  35.8462, 32.9626, 29.8705, 26.5551, 25.0508, 23.6301,
7124  22.1066, 20.4731, 18.7215, 17.158, 16.1333, 15.0346,
7125  13.8565, 12.7688, 11.9795, 11.1332, 10.2685, 9.5219,
7126  8.72139, 8.11, 7.60444, 7.11512, 6.65608, 6.1592,
7127  5.62269, 5.20339, 4.80874, 4.44527, 4.13012, 3.85155,
7128  3.54979, 3.26178, 3.00429, 2.75822, 2.51798, 2.32955,
7129  2.12306, 1.96806, 1.80063, 1.65484, 1.51493, 1.37173,
7130  1.2319, 1.12198, 1.00335, 0.907083, 0.82348, 0.72461,
7131  0.644317, 0.559381, 0.493928, 0.428615, 0.364523, 0.306428,
7132  0.252452, 0.201161, 0.153194, 0.107305, 0.0626519, 0.0,
7133  0.0, 0.0, 0.0, 0.0, 544.903, 539.831,
7134  534.392, 528.56, 522.306, 515.601, 508.411, 500.702,
7135  492.435, 483.571, 474.066, 463.875, 452.946, 441.229,
7136  428.664, 415.191, 400.745, 385.255, 368.645, 350.835,
7137  331.738, 311.261, 289.304, 265.76, 240.515, 213.445,
7138  184.419, 153.295, 119.923, 84.1382, 49.4777, 47.5697,
7139  45.5239, 43.3302, 40.9779, 38.4557, 35.7512, 32.8513,
7140  29.7418, 26.4075, 24.7486, 23.3895, 21.9322, 20.3695,
7141  18.6939, 17.1066, 16.0845, 14.9886, 13.8135, 12.6895,
7142  11.9459, 11.1486, 10.3193, 9.65565, 8.94408, 8.2585,
7143  7.59201, 6.9944, 6.56653, 6.10906, 5.62002, 5.24881,
7144  4.87342, 4.43507, 4.15148, 3.84039, 3.54667, 3.28242,
7145  3.01571, 2.78883, 2.55078, 2.38786, 2.16238, 1.96569,
7146  1.8204, 1.65663, 1.51209, 1.37707, 1.25589, 1.12752,
7147  1.0293, 0.91684, 0.824081, 0.73383, 0.647721, 0.567858,
7148  0.50387, 0.431728, 0.369902, 0.312387, 0.258026, 0.206728,
7149  0.157982, 0.111856, 0.066262, 0.0, 0.0, 0.0,
7150  0.0, 0.0, 535.43, 530.494, 525.202, 519.527,
7151  513.441, 506.917, 499.92, 492.418, 484.374, 475.748,
7152  466.5, 456.582, 445.948, 434.546, 422.319, 409.209,
7153  395.152, 380.079, 363.916, 346.585, 328.002, 308.076,
7154  286.71, 263.8, 239.234, 212.893, 184.648, 154.363,
7155  121.888, 87.0667, 49.9986, 48.0766, 46.0157, 43.8059,
7156  41.4363, 38.8956, 36.1712, 33.2499, 30.1175, 26.7587,
7157  24.8974, 23.5529, 22.1112, 20.5653, 18.9076, 17.2681,
7158  16.3139, 15.2907, 14.1936, 13.0754, 12.2379, 11.3399,
7159  10.3824, 9.74217, 9.05566, 8.39392, 7.77937, 7.17592,
7160  6.68284, 6.18033, 5.68521, 5.27545, 4.89509, 4.51999,
7161  4.20825, 3.87799, 3.56257, 3.28893, 3.03093, 2.79215,
7162  2.57409, 2.41369, 2.18378, 1.97988, 1.82352, 1.67918,
7163  1.53402, 1.39017, 1.26113, 1.14235, 1.02554, 0.937674,
7164  0.828642, 0.734919, 0.65779, 0.578524, 0.506789, 0.438591,
7165  0.37677, 0.318646, 0.26159, 0.211967, 0.163271, 0.1169,
7166  0.0708658, 0.0, 0.0, 0.0, 0.0, 0.0,
7167  540.521, 535.568, 530.258, 524.563, 518.457, 511.91,
7168  504.89, 497.362, 489.291, 480.636, 471.356, 461.404,
7169  450.734, 439.293, 427.025, 413.87, 399.765, 384.64,
7170  368.422, 351.033, 332.386, 312.392, 290.953, 267.965,
7171  243.316, 216.885, 188.544, 158.155, 125.569, 90.6294,
7172  53.1644, 48.1941, 46.1643, 43.9878, 41.6539, 39.1514,
7173  36.4681, 33.5909, 30.5057, 27.1976, 25.1377, 23.7799,
7174  22.3241, 20.763, 19.0892, 17.3478, 16.3421, 15.2638,
7175  14.1075, 12.8962, 12.1313, 11.3111, 10.4316, 9.76671,
7176  9.07747, 8.3918, 7.75594, 7.12467, 6.68374, 6.22325,
7177  5.76026, 5.33388, 4.93169, 4.57901, 4.24511, 3.90055,
7178  3.58916, 3.31579, 3.02527, 2.81952, 2.61695, 2.3875,
7179  2.1912, 2.01894, 1.83771, 1.69516, 1.53532, 1.40137,
7180  1.28385, 1.15903, 1.04007, 0.936511, 0.828305, 0.751423,
7181  0.667124, 0.591831, 0.516898, 0.445143, 0.381425, 0.323277,
7182  0.267405, 0.217272, 0.167958, 0.120235, 0.0748999, 0.0,
7183  0.0, 0.0, 0.0, 0.0, 543.657, 538.706,
7184  533.396, 527.702, 521.597, 515.051, 508.032, 500.506,
7185  492.435, 483.782, 474.503, 464.554, 453.885, 442.446,
7186  430.179, 417.027, 402.924, 387.801, 371.586, 354.199,
7187  335.556, 315.565, 294.129, 271.145, 246.499, 220.072,
7188  191.736, 161.352, 128.771, 93.8369, 56.3778, 48.0891,
7189  46.0936, 43.9539, 41.6595, 39.1993, 36.5613, 33.7327,
7190  30.6997, 27.4475, 25.2171, 23.8714, 22.4285, 20.8814,
7191  19.2224, 17.4435, 16.4373, 15.3866, 14.26, 13.0519,
7192  12.2473, 11.4042, 10.5003, 9.78698, 9.07486, 8.38317,
7193  7.84521, 7.27501, 6.7317, 6.19505, 5.80632, 5.39011,
7194  4.95081, 4.63887, 4.3183, 3.97634, 3.63731, 3.35836,
7195  3.0919, 2.83848, 2.62472, 2.42207, 2.20994, 2.04671,
7196  1.84366, 1.68882, 1.54335, 1.42107, 1.28482, 1.15946,
7197  1.04499, 0.951473, 0.848892, 0.759744, 0.675869, 0.594065,
7198  0.521647, 0.4472, 0.384936, 0.327805, 0.273176, 0.218582,
7199  0.172185, 0.123967, 0.0801127, 0.0, 0.0, 0.0,
7200  0.0, 0.0, 539.698, 534.817, 529.584, 523.972,
7201  517.955, 511.503, 504.585, 497.166, 489.212, 480.683,
7202  471.537, 461.731, 451.216, 439.941, 427.851, 414.887,
7203  400.987, 386.082, 370.1, 352.962, 334.587, 314.883,
7204  293.756, 271.102, 246.81, 220.763, 192.834, 162.887,
7205  130.775, 96.3424, 59.4217, 47.9561, 45.9953, 43.8929,
7206  41.6385, 39.2211, 36.6291, 33.8498, 30.8696, 27.674,
7207  25.2788, 23.938, 22.5003, 20.9587, 19.3058, 17.5333,
7208  16.5052, 15.5241, 14.4722, 13.3442, 12.4787, 11.6023,
7209  10.6626, 9.90648, 9.18487, 8.46046, 7.91885, 7.33827,
7210  6.7851, 6.21287, 5.76777, 5.3642, 5.02652, 4.63482,
7211  4.27767, 3.95207, 3.63821, 3.35348, 3.08022, 2.81852,
7212  2.63477, 2.41081, 2.23394, 2.05624, 1.88304, 1.71828,
7213  1.56977, 1.41983, 1.2988, 1.17596, 1.05557, 0.962326,
7214  0.857782, 0.76459, 0.685874, 0.592714, 0.528232, 0.456077,
7215  0.392212, 0.331458, 0.276652, 0.223469, 0.175924, 0.127831,
7216  0.08312, 0.0, 0.0, 0.0, 0.0, 0.0,
7217  540.457, 535.612, 530.418, 524.848, 518.876, 512.472,
7218  505.605, 498.242, 490.347, 481.881, 472.804, 463.07,
7219  452.633, 441.442, 429.443, 416.576, 402.779, 387.985,
7220  372.122, 355.112, 336.873, 317.317, 296.347, 273.861,
7221  249.751, 223.898, 196.176, 166.452, 134.579, 100.403,
7222  63.7575, 49.0481, 47.0124, 44.8295, 42.4889, 39.9792,
7223  37.288, 34.4024, 31.3083, 27.9905, 25.324, 23.9921,
7224  22.5639, 21.0325, 19.3904, 17.6297, 16.4887, 15.4673,
7225  14.372, 13.1976, 12.3503, 11.5585, 10.7096, 9.95723,
7226  9.2361, 8.48731, 7.94072, 7.35464, 6.86577, 6.35775,
7227  5.9157, 5.46551, 5.0272, 4.69404, 4.35215, 3.99589,
7228  3.67541, 3.42216, 3.1886, 2.88814, 2.68459, 2.45625,
7229  2.23253, 2.04763, 1.90204, 1.73174, 1.56938, 1.43674,
7230  1.30685, 1.18403, 1.06366, 0.955586, 0.871053, 0.772512,
7231  0.687686, 0.604749, 0.530582, 0.462691, 0.398583, 0.339712,
7232  0.282353, 0.228812, 0.179847, 0.132741, 0.0875883, 0.0,
7233  0.0, 0.0, 0.0, 0.0, 537.236, 532.457,
7234  527.333, 521.839, 515.948, 509.63, 502.857, 495.593,
7235  487.805, 479.454, 470.5, 460.898, 450.603, 439.563,
7236  427.726, 415.033, 401.423, 386.829, 371.181, 354.402,
7237  336.41, 317.119, 296.433, 274.252, 250.468, 224.965,
7238  197.619, 168.297, 136.856, 103.143, 66.9938, 49.2551,
7239  47.2347, 45.0682, 42.7452, 40.2543, 37.5834, 34.7194,
7240  31.6485, 28.3557, 25.5039, 24.1791, 22.7586, 21.2354,
7241  19.6022, 17.8509, 16.6107, 15.5571, 14.4274, 13.216,
7242  12.3326, 11.5724, 10.7572, 10.0276, 9.35878, 8.64202,
7243  8.07603, 7.46914, 6.95227, 6.42724, 5.93755, 5.45133,
7244  5.02519, 4.70267, 4.37472, 4.01014, 3.71043, 3.45438,
7245  3.18441, 2.90184, 2.64121, 2.45799, 2.28363, 2.06674,
7246  1.91347, 1.73736, 1.59624, 1.44488, 1.31729, 1.19251,
7247  1.08053, 0.977948, 0.869832, 0.775134, 0.684276, 0.613919,
7248  0.537307, 0.467763, 0.405593, 0.343467, 0.285387, 0.232308,
7249  0.184385, 0.137177, 0.091258, 0.0, 0.0, 0.0,
7250  0.0, 0.0, 541.563, 536.772, 531.634, 526.125,
7251  520.218, 513.883, 507.092, 499.809, 492.0, 483.627,
7252  474.648, 465.021, 454.698, 443.629, 431.76, 419.033,
7253  405.387, 390.754, 375.064, 358.24, 340.2, 320.857,
7254  300.115, 277.875, 254.027, 228.457, 201.038, 171.637,
7255  140.112, 106.309, 70.0629, 49.0691, 47.0907, 44.9695,
7256  42.6949, 40.2559, 37.6407, 34.8365, 31.8296, 28.6055,
7257  25.6174, 24.3419, 22.9743, 21.5078, 19.9354, 18.2493,
7258  16.9668, 15.9288, 14.8157, 13.6222, 12.6627, 11.8462,
7259  10.9707, 10.152, 9.40816, 8.61058, 8.03577, 7.44656,
7260  6.96366, 6.50044, 6.01611, 5.52374, 5.11131, 4.74294,
7261  4.38845, 4.03407, 3.78905, 3.47041, 3.17992, 2.90991,
7262  2.69541, 2.47352, 2.29603, 2.1174, 1.93967, 1.739,
7263  1.61245, 1.46533, 1.32312, 1.20402, 1.08825, 1.0012,
7264  0.886683, 0.790832, 0.703809, 0.613261, 0.544307, 0.474417,
7265  0.409908, 0.347776, 0.292695, 0.238578, 0.188494, 0.140653,
7266  0.0953097, 0.0520621, 0.0, 0.0, 0.0, 0.0,
7267  546.385, 541.577, 536.421, 530.892, 524.963, 518.607,
7268  511.791, 504.482, 496.645, 488.242, 479.231, 469.569,
7269  459.209, 448.101, 436.189, 423.417, 409.722, 395.037,
7270  379.291, 362.407, 344.302, 324.89, 304.074, 281.754,
7271  257.821, 232.159, 204.642, 175.137, 143.499, 109.575,
7272  73.1988, 48.8961, 46.9363, 44.8349, 42.5816, 40.1655,
7273  37.5747, 34.7968, 31.818, 28.6241, 25.4625, 24.1865,
7274  22.8183, 21.3512, 19.778, 18.0912, 16.78, 15.8298,
7275  14.811, 13.7186, 12.7222, 11.8194, 10.8513, 9.99603,
7276  9.36998, 8.69869, 8.07674, 7.43095, 6.92864, 6.49527,
7277  6.0267, 5.54093, 5.19796, 4.80105, 4.39251, 4.07219,
7278  3.75511, 3.4445, 3.23937, 2.95914, 2.7237, 2.4872,
7279  2.28699, 2.11769, 1.94387, 1.79846, 1.62404, 1.47808,
7280  1.3272, 1.22483, 1.10026, 0.997945, 0.890155, 0.79268,
7281  0.703414, 0.625786, 0.553929, 0.480899, 0.414557, 0.351825,
7282  0.296872, 0.243249, 0.192775, 0.145199, 0.0993291, 0.0550893,
7283  0.0, 0.0, 0.0, 0.0, 544.075, 539.322,
7284  534.224, 528.758, 522.897, 516.613, 509.874, 502.649,
7285  494.901, 486.593, 477.685, 468.134, 457.891, 446.909,
7286  435.133, 422.507, 408.967, 394.449, 378.882, 362.19,
7287  344.292, 325.1, 304.522, 282.456, 258.795, 233.425,
7288  206.221, 177.052, 145.774, 112.236, 76.2739, 49.0336,
7289  47.0735, 44.9718, 42.7182, 40.3017, 37.7106, 34.9323,
7290  31.9532, 28.7587, 25.3997, 24.1873, 22.8872, 21.4932,
7291  19.9984, 18.3957, 17.0093, 15.9531, 14.8206, 13.6063,
7292  12.5469, 11.7357, 10.8659, 10.049, 9.44293, 8.79305,
7293  8.17088, 7.53073, 6.99775, 6.54841, 6.04091, 5.48592,
7294  5.13236, 4.8007, 4.488, 4.13316, 3.77269, 3.52515,
7295  3.2717, 2.98239, 2.72712, 2.49394, 2.29995, 2.11795,
7296  1.94662, 1.7866, 1.64191, 1.48813, 1.3487, 1.22073,
7297  1.10677, 0.995009, 0.896243, 0.808472, 0.709229, 0.635802,
7298  0.55829, 0.48642, 0.416014, 0.357805, 0.30149, 0.247171,
7299  0.196829, 0.148983, 0.104458, 0.0598663, 0.0, 0.0,
7300  0.0, 0.0, 547.564, 542.811, 537.714, 532.25,
7301  526.39, 520.107, 513.37, 506.145, 498.399, 490.093,
7302  481.187, 471.637, 461.397, 450.417, 438.644, 426.02,
7303  412.483, 397.968, 382.404, 365.716, 347.821, 328.634,
7304  308.059, 285.998, 262.342, 236.977, 209.779, 180.615,
7305  149.344, 115.813, 79.8582, 49.4264, 47.5006, 45.4356,
7306  43.2214, 40.8472, 38.3014, 35.5716, 32.6446, 29.506,
7307  26.1406, 24.7371, 23.3722, 21.9088, 20.3395, 18.6569,
7308  17.1711, 16.1683, 15.0929, 13.9399, 12.8667, 12.0291,
7309  11.131, 10.2416, 9.55498, 8.8188, 8.19841, 7.62517,
7310  7.06577, 6.52807, 6.01994, 5.52418, 5.21468, 4.88443,
7311  4.5065, 4.1109, 3.81083, 3.51509, 3.2482, 2.99103,
7312  2.7492, 2.56038, 2.32438, 2.15554, 1.97617, 1.79963,
7313  1.63598, 1.49898, 1.36753, 1.23339, 1.11903, 1.00401,
7314  0.917208, 0.799011, 0.723144, 0.641173, 0.561554, 0.489787,
7315  0.422137, 0.362693, 0.306317, 0.252977, 0.200947, 0.155606,
7316  0.106876, 0.0627968, 0.0, 0.0, 0.0, 0.0,
7317  543.715, 539.024, 533.993, 528.599, 522.816, 516.614,
7318  509.964, 502.834, 495.188, 486.99, 478.199, 468.773,
7319  458.665, 447.828, 436.207, 423.746, 410.385, 396.058,
7320  380.696, 364.224, 346.561, 327.622, 307.314, 285.539,
7321  262.19, 237.153, 210.307, 181.522, 150.656, 117.559,
7322  82.0703, 48.8788, 47.0624, 45.1147, 43.0263, 40.7869,
7323  38.3857, 35.811, 33.0502, 30.0899, 26.9156, 25.2685,
7324  23.8062, 22.2382, 20.5569, 18.754, 17.1051, 16.1202,
7325  15.064, 13.9316, 12.8473, 12.0577, 11.2111, 10.3383,
7326  9.63227, 8.87517, 8.22105, 7.64275, 7.09411, 6.61952,
7327  6.14248, 5.66322, 5.28482, 4.89522, 4.45526, 4.11393,
7328  3.80925, 3.54487, 3.30272, 2.98993, 2.78204, 2.5808,
7329  2.34633, 2.15864, 1.9968, 1.81001, 1.63329, 1.51112,
7330  1.3776, 1.24119, 1.12164, 1.01341, 0.908874, 0.819514,
7331  0.726463, 0.636929, 0.565534, 0.49652, 0.430831, 0.363253,
7332  0.310476, 0.258286, 0.205834, 0.157587, 0.111688, 0.0678546,
7333  0.0, 0.0, 0.0, 0.0, 543.011, 538.37,
7334  533.394, 528.058, 522.336, 516.201, 509.622, 502.568,
7335  495.004, 486.894, 478.197, 468.872, 458.873, 448.151,
7336  436.655, 424.328, 411.11, 396.936, 381.739, 365.443,
7337  347.97, 329.233, 309.143, 287.601, 264.502, 239.734,
7338  213.176, 184.698, 154.163, 121.421, 86.3126, 50.3333,
7339  48.386, 46.298, 44.0591, 41.6584, 39.0842, 36.3239,
7340  33.3642, 30.1906, 26.7876, 24.9941, 23.6379, 22.1837,
7341  20.6244, 18.9524, 17.3214, 16.2946, 15.1936, 14.0131,
7342  12.8494, 12.0826, 11.2604, 10.3936, 9.74594, 9.05146,
7343  8.37953, 7.73889, 7.10855, 6.56345, 6.08337, 5.71742,
7344  5.30136, 4.87818, 4.51682, 4.16857, 3.89345, 3.58803,
7345  3.26161, 3.03062, 2.83809, 2.57499, 2.3599, 2.16982,
7346  1.98165, 1.82873, 1.67111, 1.52695, 1.38587, 1.26001,
7347  1.14266, 1.01442, 0.922144, 0.833769, 0.737173, 0.659207,
7348  0.563246, 0.505702, 0.43544, 0.37373, 0.314731, 0.26023,
7349  0.209744, 0.162726, 0.115954, 0.0710965, 0.0, 0.0,
7350  0.0, 0.0, 551.919, 547.224, 542.189, 536.79,
7351  531.001, 524.793, 518.137, 511.0, 503.347, 495.141,
7352  486.342, 476.907, 466.791, 455.943, 444.312, 431.839,
7353  418.466, 404.126, 388.749, 372.262, 354.583, 335.626,
7354  315.299, 293.504, 270.133, 245.073, 218.203, 189.39,
7355  158.496, 125.368, 89.8469, 51.7585, 48.3637, 46.3066,
7356  44.1008, 41.7355, 39.1994, 36.48, 33.564, 30.4373,
7357  27.0847, 25.1014, 23.732, 22.2635, 20.6889, 19.0006,
7358  17.2895, 16.3383, 15.3185, 14.2249, 13.0899, 12.2385,
7359  11.3255, 10.3465, 9.75732, 9.14144, 8.51447, 7.89383,
7360  7.26295, 6.70972, 6.16919, 5.69709, 5.30164, 4.93581,
7361  4.54944, 4.23799, 3.92146, 3.58302, 3.29106, 3.05356,
7362  2.81938, 2.62323, 2.39155, 2.17306, 1.98831, 1.83322,
7363  1.67338, 1.54465, 1.38423, 1.26941, 1.15573, 1.0379,
7364  0.933346, 0.833266, 0.748414, 0.661355, 0.578648, 0.507332,
7365  0.440542, 0.377517, 0.320433, 0.264148, 0.21347, 0.165116,
7366  0.120196, 0.0751431, 0.0, 0.0, 0.0, 0.0,
7367  546.708, 542.089, 537.136, 531.826, 526.132, 520.026,
7368  513.479, 506.459, 498.932, 490.861, 482.206, 472.926,
7369  462.975, 452.305, 440.864, 428.597, 415.442, 401.338,
7370  386.213, 369.996, 352.607, 333.961, 313.968, 292.53,
7371  269.542, 244.893, 218.464, 190.123, 159.735, 127.151,
7372  92.2124, 54.7486, 48.2953, 46.2692, 44.0966, 41.767,
7373  39.269, 36.5905, 33.7185, 30.6389, 27.3368, 25.1999,
7374  23.8611, 22.4255, 20.8862, 19.2356, 17.4827, 16.4449,
7375  15.3322, 14.139, 12.8671, 12.1096, 11.2973, 10.4264,
7376  9.74926, 9.05811, 8.39719, 7.867, 7.31832, 6.8545,
7377  6.35181, 5.79642, 5.34813, 4.9769, 4.58919, 4.24461,
7378  3.97153, 3.6815, 3.31264, 3.06501, 2.81641, 2.62174,
7379  2.45255, 2.19595, 2.02262, 1.84694, 1.70756, 1.55889,
7380  1.40482, 1.27566, 1.16412, 1.04454, 0.941615, 0.842059,
7381  0.743826, 0.663904, 0.586961, 0.515147, 0.44781, 0.384846,
7382  0.324172, 0.267662, 0.216604, 0.168842, 0.123685, 0.0795666,
7383  0.0, 0.0, 0.0, 0.0, 544.761, 540.194,
7384  535.297, 530.046, 524.415, 518.378, 511.904, 504.963,
7385  497.52, 489.539, 480.981, 471.805, 461.966, 451.415,
7386  440.103, 427.972, 414.965, 401.018, 386.063, 370.028,
7387  352.833, 334.396, 314.627, 293.429, 270.699, 246.326,
7388  220.192, 192.169, 162.121, 129.902, 95.3545, 58.3101,
7389  48.8108, 46.7507, 44.5417, 42.1732, 39.6334, 36.9101,
7390  33.99, 30.8589, 27.5015, 25.138, 23.7807, 22.3254,
7391  20.7648, 19.0915, 17.2973, 16.3005, 15.2958, 14.2185,
7392  13.0634, 12.2751, 11.4652, 10.5968, 9.9136, 9.2449,
7393  8.56071, 7.93817, 7.28554, 6.83453, 6.35579, 5.86716,
7394  5.40704, 4.98005, 4.61238, 4.27767, 3.94689, 3.62469,
7395  3.37902, 3.11077, 2.85998, 2.60813, 2.42346, 2.21182,
7396  2.04141, 1.8481, 1.71386, 1.55678, 1.4183, 1.28619,
7397  1.18066, 1.05272, 0.950208, 0.841528, 0.760885, 0.662401,
7398  0.59439, 0.520385, 0.453447, 0.389073, 0.33021, 0.2745,
7399  0.222353, 0.172392, 0.127218, 0.0828901, 0.0, 0.0,
7400  0.0, 0.0, 547.395, 542.841, 537.957, 532.721,
7401  527.106, 521.085, 514.63, 507.707, 500.285, 492.326,
7402  483.792, 474.641, 464.829, 454.308, 443.026, 430.929,
7403  417.958, 404.049, 389.136, 373.144, 355.997, 337.611,
7404  317.896, 296.757, 274.089, 249.784, 223.722, 195.776,
7405  165.811, 133.681, 99.2286, 62.2864, 49.7407, 47.6709,
7406  45.4516, 43.0719, 40.5202, 37.7842, 34.8504, 31.7045,
7407  28.3314, 25.747, 24.3466, 22.8449, 21.2348, 19.5082,
7408  17.6569, 16.6041, 15.6395, 14.6052, 13.4962, 12.5547,
7409  11.5917, 10.559, 9.79552, 9.11662, 8.42355, 7.88261,
7410  7.30257, 6.77624, 6.22902, 5.80186, 5.3684, 4.93896,
7411  4.65851, 4.32801, 3.97455, 3.67049, 3.36081, 3.10794,
7412  2.85316, 2.67836, 2.45923, 2.25901, 2.07225, 1.87576,
7413  1.73192, 1.55963, 1.43826, 1.29293, 1.16915, 1.06102,
7414  0.965491, 0.858404, 0.761194, 0.681079, 0.607824, 0.522176,
7415  0.458639, 0.392031, 0.33364, 0.27936, 0.228723, 0.176924,
7416  0.130714, 0.0861131, 0.0, 0.0, 0.0, 0.0,
7417  553.384, 548.79, 543.865, 538.583, 532.919, 526.847,
7418  520.335, 513.353, 505.866, 497.838, 489.23, 480.0,
7419  470.103, 459.491, 448.112, 435.91, 422.827, 408.798,
7420  393.756, 377.626, 360.33, 341.785, 321.9, 300.577,
7421  277.714, 253.198, 226.91, 198.723, 168.499, 136.091,
7422  101.34, 64.0785, 48.4207, 46.4733, 44.3852, 42.1463,
7423  39.7455, 37.1712, 34.4109, 31.4511, 28.2774, 25.6599,
7424  24.3244, 22.8924, 21.3569, 19.7105, 17.945, 16.7497,
7425  15.6808, 14.5346, 13.3057, 12.4205, 11.6094, 10.7397,
7426  10.0183, 9.36997, 8.682, 8.04409, 7.36009, 6.82702,
7427  6.28102, 5.8814, 5.46405, 5.03936, 4.68988, 4.34125,
7428  3.99866, 3.70652, 3.3814, 3.15459, 2.93243, 2.70069,
7429  2.48189, 2.2693, 2.06722, 1.8984, 1.73282, 1.59181,
7430  1.44119, 1.29234, 1.19388, 1.07028, 0.960623, 0.868528,
7431  0.772275, 0.692982, 0.603874, 0.52938, 0.463475, 0.398181,
7432  0.338565, 0.282479, 0.230235, 0.181889, 0.134741, 0.0899749,
7433  0.0, 0.0, 0.0, 0.0, 535.716, 531.316,
7434  526.597, 521.537, 516.111, 510.294, 504.056, 497.367,
7435  490.195, 482.504, 474.258, 465.416, 455.934, 445.768,
7436  434.867, 423.178, 410.644, 397.205, 382.794, 367.342,
7437  350.773, 333.007, 313.957, 293.53, 271.627, 248.142,
7438  222.959, 195.956, 167.001, 135.955, 102.664, 66.9677,
7439  48.9332, 46.9371, 44.7968, 42.5017, 40.0409, 37.4022,
7440  34.5728, 31.5389, 28.2858, 25.4406, 24.151, 22.7681,
7441  21.2853, 19.6953, 17.9905, 16.746, 15.6822, 14.5415,
7442  13.3184, 12.3912, 11.582, 10.7142, 9.96997, 9.32708,
7443  8.63773, 8.03651, 7.39362, 6.92424, 6.47375, 6.02357,
7444  5.55118, 5.06735, 4.69259, 4.35462, 4.02526, 3.71184,
7445  3.40779, 3.19093, 2.92207, 2.72238, 2.49494, 2.26946,
7446  2.08414, 1.90113, 1.74383, 1.59955, 1.4612, 1.31258,
7447  1.20463, 1.09026, 0.971689, 0.881492, 0.779007, 0.688754,
7448  0.612057, 0.536076, 0.468802, 0.39911, 0.343499, 0.288529,
7449  0.233828, 0.184619, 0.137952, 0.0945822, 0.0, 0.0,
7450  0.0, 0.0, 545.085, 540.626, 535.845, 530.718,
7451  525.221, 519.326, 513.006, 506.229, 498.962, 491.17,
7452  482.814, 473.855, 464.249, 453.948, 442.903, 431.059,
7453  418.36, 404.743, 390.142, 374.486, 357.698, 339.697,
7454  320.395, 299.699, 277.506, 253.71, 228.195, 200.835,
7455  171.498, 140.041, 106.31, 70.1424, 48.9034, 46.9473,
7456  44.8498, 42.6007, 40.1891, 37.6033, 34.8305, 31.8573,
7457  28.6693, 25.6839, 24.3563, 22.9327, 21.4063, 19.7695,
7458  18.0145, 16.7301, 15.7492, 14.6975, 13.5698, 12.6186,
7459  11.7757, 10.8718, 10.0604, 9.37237, 8.63462, 8.07268,
7460  7.49461, 6.95247, 6.40083, 5.97376, 5.55181, 5.1191,
7461  4.74714, 4.40988, 4.08909, 3.80247, 3.48286, 3.20384,
7462  2.93844, 2.6822, 2.50707, 2.28515, 2.12683, 1.92166,
7463  1.75895, 1.60884, 1.44491, 1.33554, 1.18625, 1.09743,
7464  0.980985, 0.884988, 0.780541, 0.699327, 0.620664, 0.542532,
7465  0.473215, 0.405972, 0.347405, 0.291951, 0.237583, 0.19064,
7466  0.14114, 0.0978718, 0.0542031, 0.0, 0.0, 0.0,
7467  555.114, 550.597, 545.753, 540.559, 534.989, 529.017,
7468  522.614, 515.747, 508.385, 500.49, 492.025, 482.948,
7469  473.215, 462.779, 451.589, 439.59, 426.724, 412.927,
7470  398.134, 382.272, 365.264, 347.027, 327.471, 306.502,
7471  284.018, 259.909, 234.058, 206.339, 176.616, 144.746,
7472  110.572, 73.9283, 49.3853, 47.4414, 45.357, 43.1219,
7473  40.7254, 38.1556, 35.4001, 32.4455, 29.2774, 26.1266,
7474  24.7623, 23.2994, 21.7309, 20.0489, 18.2454, 16.8687,
7475  15.9068, 14.8754, 13.7694, 12.7776, 11.8991, 10.957,
7476  10.1065, 9.45047, 8.74708, 8.14213, 7.52608, 6.99794,
7477  6.50556, 6.05927, 5.61398, 5.2046, 4.81106, 4.44293,
7478  4.11949, 3.80536, 3.46246, 3.20782, 2.9817, 2.74812,
7479  2.50075, 2.27484, 2.11242, 1.92898, 1.77701, 1.61324,
7480  1.46083, 1.33676, 1.221, 1.10055, 0.99914, 0.8913,
7481  0.797457, 0.708633, 0.623682, 0.553623, 0.476466, 0.409062,
7482  0.351077, 0.296366, 0.242406, 0.190943, 0.145125, 0.101208,
7483  0.0574002, 0.0, 0.0, 0.0, 552.264, 547.801,
7484  543.016, 537.884, 532.382, 526.482, 520.156, 513.372,
7485  506.099, 498.299, 489.936, 480.969, 471.354, 461.043,
7486  449.988, 438.134, 425.423, 411.793, 397.179, 381.508,
7487  364.705, 346.687, 327.368, 306.652, 284.439, 260.621,
7488  235.082, 207.697, 178.333, 146.847, 113.086, 76.8846,
7489  49.624, 47.6713, 45.5774, 43.3322, 40.9248, 38.3434,
7490  35.5755, 32.6075, 29.425, 26.0851, 24.7684, 23.3565,
7491  21.8427, 20.2194, 18.4788, 17.0414, 16.0465, 14.9797,
7492  13.8358, 12.8172, 11.9986, 11.1209, 10.2683, 9.55634,
7493  8.79292, 8.17799, 7.59064, 7.05113, 6.54331, 6.05812,
7494  5.56848, 5.19364, 4.80197, 4.4157, 4.1266, 3.82004,
7495  3.49264, 3.19305, 2.96828, 2.70659, 2.54739, 2.33659,
7496  2.1234, 1.95379, 1.7804, 1.63861, 1.47988, 1.36459,
7497  1.23241, 1.10101, 1.00917, 0.898824, 0.810332, 0.721045,
7498  0.631154, 0.553805, 0.48735, 0.41868, 0.356311, 0.301227,
7499  0.246922, 0.19639, 0.149162, 0.105794, 0.0604551, 0.0,
7500  0.0, 0.0, 566.34, 561.778, 556.886, 551.64,
7501  546.016, 539.985, 533.518, 526.583, 519.148, 511.175,
7502  502.627, 493.46, 483.631, 473.091, 461.79, 449.673,
7503  436.679, 422.747, 407.807, 391.788, 374.612, 356.194,
7504  336.445, 315.269, 292.562, 268.215, 242.108, 214.114,
7505  184.098, 151.912, 117.4, 80.3943, 49.4727, 47.5364,
7506  45.4602, 43.2339, 40.8467, 38.287, 35.5423, 32.5993,
7507  29.4436, 26.0598, 24.6944, 23.3478, 21.9038, 20.3555,
7508  18.6954, 17.2268, 16.205, 15.1092, 13.9344, 12.857,
7509  12.0368, 11.1573, 10.2957, 9.65109, 8.95986, 8.30193,
7510  7.63976, 7.04879, 6.54363, 6.10265, 5.69905, 5.27816,
7511  4.85522, 4.44471, 4.07687, 3.82217, 3.57149, 3.27093,
7512  3.01474, 2.74924, 2.54921, 2.34376, 2.1266, 1.9807,
7513  1.80435, 1.65103, 1.50471, 1.36543, 1.23182, 1.11369,
7514  1.00778, 0.906311, 0.800675, 0.720174, 0.638095, 0.562725,
7515  0.489159, 0.423898, 0.360723, 0.303982, 0.249354, 0.202303,
7516  0.15273, 0.108623, 0.0648519, 0.0, 0.0, 0.0,
7517  552.088, 547.684, 542.961, 537.897, 532.467, 526.644,
7518  520.401, 513.707, 506.528, 498.831, 490.578, 481.728,
7519  472.239, 462.064, 451.154, 439.455, 426.911, 413.46,
7520  399.037, 383.572, 366.989, 349.208, 330.142, 309.698,
7521  287.777, 264.271, 239.067, 212.041, 183.062, 151.989,
7522  118.671, 82.9445, 50.1156, 48.1694, 46.0825, 43.8449,
7523  41.4455, 38.8728, 36.1141, 33.1561, 29.9843, 26.5832,
7524  25.0203, 23.6587, 22.1986, 20.6331, 18.9544, 17.3906,
7525  16.3152, 15.162, 13.9255, 12.7745, 12.0031, 11.1759,
7526  10.3363, 9.70742, 9.03313, 8.38817, 7.75365, 7.15988,
7527  6.6521, 6.14744, 5.64414, 5.25658, 4.8753, 4.48021,
7528  4.14122, 3.83383, 3.55097, 3.27073, 3.02017, 2.78906,
7529  2.54323, 2.34802, 2.15838, 1.98183, 1.81147, 1.65191,
7530  1.51029, 1.36991, 1.24342, 1.12689, 1.01236, 0.908238,
7531  0.812622, 0.726447, 0.642866, 0.56374, 0.493848, 0.429832,
7532  0.369311, 0.306307, 0.254319, 0.205413, 0.157439, 0.112195,
7533  0.0682247, 0.0, 0.0, 0.0, 559.431, 554.989,
7534  550.226, 545.119, 539.642, 533.77, 527.473, 520.722,
7535  513.482, 505.719, 497.396, 488.47, 478.9, 468.638,
7536  457.634, 445.836, 433.184, 419.619, 405.073, 389.476,
7537  372.751, 354.818, 335.589, 314.971, 292.862, 269.156,
7538  243.736, 216.48, 187.253, 155.915, 122.312, 86.2802,
7539  50.1861, 48.221, 46.1139, 43.8544, 41.4317, 38.8339,
7540  36.0484, 33.0616, 29.8589, 26.4248, 24.6905, 23.3542,
7541  21.9213, 20.3849, 18.7374, 17.1667, 16.2442, 15.2549,
7542  14.1942, 13.1337, 12.3108, 11.4284, 10.5017, 9.762,
7543  8.96882, 8.28923, 7.73241, 7.17996, 6.68079, 6.18244,
7544  5.6962, 5.29507, 4.90569, 4.49996, 4.21978, 3.87696,
7545  3.56917, 3.28873, 3.03195, 2.81645, 2.60535, 2.37584,
7546  2.16946, 1.98182, 1.83027, 1.67084, 1.53013, 1.38144,
7547  1.25761, 1.14505, 1.02574, 0.913868, 0.830262, 0.731408,
7548  0.650763, 0.574477, 0.497332, 0.435826, 0.366385, 0.31463,
7549  0.259329, 0.208357, 0.160288, 0.11539, 0.0719903, 0.0,
7550  0.0, 0.0, 548.017, 543.704, 539.08, 534.121,
7551  528.804, 523.103, 516.99, 510.435, 503.407, 495.87,
7552  487.789, 479.124, 469.833, 459.87, 449.187, 437.732,
7553  425.45, 412.279, 398.157, 383.015, 366.778, 349.368,
7554  330.699, 310.682, 289.217, 266.202, 241.523, 215.061,
7555  186.687, 156.262, 123.638, 88.657, 51.1477, 48.7817,
7556  46.7051, 44.4783, 42.0907, 39.5305, 36.7853, 33.8416,
7557  30.6853, 27.3009, 25.3384, 23.9201, 22.3993, 20.7686,
7558  19.0201, 17.2744, 16.2838, 15.2217, 14.0828, 12.9256,
7559  12.1528, 11.3241, 10.4356, 9.72277, 8.9596, 8.26794,
7560  7.70096, 7.1406, 6.68529, 6.22938, 5.7989, 5.34512,
7561  4.89689, 4.55927, 4.24894, 3.92262, 3.62512, 3.34711,
7562  3.05803, 2.82237, 2.60571, 2.36351, 2.18295, 2.01545,
7563  1.8408, 1.68134, 1.54428, 1.40466, 1.26497, 1.1416,
7564  1.04166, 0.934219, 0.82881, 0.743212, 0.65542, 0.580294,
7565  0.50928, 0.438739, 0.379536, 0.316642, 0.262273, 0.211434,
7566  0.163802, 0.11982, 0.0759423, 0.0, 0.0, 0.0,
7567  554.241, 549.903, 545.252, 540.264, 534.916, 529.181,
7568  523.032, 516.439, 509.369, 501.788, 493.66, 484.944,
7569  475.598, 465.576, 454.831, 443.309, 430.954, 417.706,
7570  403.501, 388.27, 371.937, 354.425, 335.647, 315.511,
7571  293.921, 270.77, 245.947, 219.329, 190.788, 160.184,
7572  127.369, 92.182, 54.4522, 49.1253, 46.9935, 44.7076,
7573  42.2565, 39.6284, 36.8102, 33.7884, 30.5483, 27.074,
7574  24.9764, 23.6854, 22.3012, 20.817, 19.2255, 17.5614,
7575  16.5488, 15.4631, 14.299, 13.0714, 12.1996, 11.2648,
7576  10.2625, 9.63349, 9.00068, 8.38327, 7.83837, 7.26526,
7577  6.7053, 6.19625, 5.88642, 5.45315, 4.94846, 4.58891,
7578  4.24685, 3.95022, 3.64753, 3.31557, 3.1035, 2.90092,
7579  2.63044, 2.39719, 2.19708, 2.01505, 1.83499, 1.69092,
7580  1.54365, 1.41472, 1.27016, 1.15117, 1.05015, 0.940388,
7581  0.842864, 0.760437, 0.666079, 0.585811, 0.514188, 0.441059,
7582  0.37832, 0.324704, 0.267814, 0.217325, 0.167791, 0.122681,
7583  0.0794983, 0.0, 0.0, 0.0, 552.863, 548.563,
7584  543.953, 539.009, 533.708, 528.024, 521.93, 515.394,
7585  508.387, 500.873, 492.816, 484.177, 474.913, 464.98,
7586  454.33, 442.909, 430.663, 417.533, 403.453, 388.356,
7587  372.167, 354.809, 336.197, 316.239, 294.839, 271.893,
7588  247.288, 220.905, 192.616, 162.282, 129.756, 94.8798,
7589  57.4829, 49.3261, 47.2196, 44.9609, 42.5389, 39.9419,
7590  37.1572, 34.1713, 30.9696, 27.5365, 25.2459, 23.9214,
7591  22.5012, 20.9784, 19.3455, 17.5946, 16.552, 15.4552,
7592  14.2791, 13.0179, 12.2522, 11.451, 10.5919, 9.89186,
7593  9.18492, 8.48485, 7.89379, 7.2771, 6.77987, 6.2817,
7594  5.88497, 5.48691, 5.08352, 4.63647, 4.28894, 3.97592,
7595  3.65579, 3.36885, 3.11859, 2.85584, 2.62402, 2.38318,
7596  2.21653, 2.03791, 1.86555, 1.6859, 1.55992, 1.41059,
7597  1.28804, 1.16109, 1.05566, 0.947436, 0.854373, 0.759125,
7598  0.670007, 0.592242, 0.516635, 0.451429, 0.382611, 0.327443,
7599  0.27128, 0.219128, 0.172359, 0.126157, 0.0829826, 0.0,
7600  0.0, 0.0, 551.495, 547.229, 542.656, 537.752,
7601  532.494, 526.855, 520.809, 514.326, 507.375, 499.921,
7602  491.929, 483.359, 474.17, 464.317, 453.751, 442.422,
7603  430.275, 417.249, 403.283, 388.306, 372.248, 355.029,
7604  336.566, 316.768, 295.54, 272.777, 248.37, 222.199,
7605  194.136, 164.046, 131.781, 97.1838, 60.0867, 49.173,
7606  47.1337, 44.947, 42.6023, 40.0882, 37.3923, 34.5017,
7607  31.4021, 28.0785, 25.6269, 24.2319, 22.7361, 21.1323,
7608  19.4125, 17.5684, 16.5334, 15.533, 14.4603, 13.31,
7609  12.4378, 11.5482, 10.5943, 9.86401, 9.17518, 8.4721,
7610  7.86903, 7.22724, 6.78378, 6.31737, 5.87952, 5.42876,
7611  4.96795, 4.63312, 4.26899, 3.9285, 3.66606, 3.40844,
7612  3.14848, 2.88448, 2.64713, 2.43132, 2.21594, 2.04599,
7613  1.87637, 1.70411, 1.57617, 1.41889, 1.29221, 1.17497,
7614  1.0598, 0.963594, 0.852943, 0.758803, 0.67371, 0.59818,
7615  0.523805, 0.454609, 0.387953, 0.327937, 0.276659, 0.223786,
7616  0.174457, 0.129994, 0.0857937, 0.0, 0.0, 0.0,
7617  551.802, 547.553, 542.996, 538.11, 532.871, 527.254,
7618  521.23, 514.772, 507.846, 500.42, 492.457, 483.919,
7619  474.764, 464.947, 454.421, 443.134, 431.032, 418.054,
7620  404.139, 389.219, 373.22, 356.065, 337.67, 317.946,
7621  296.796, 274.118, 249.801, 223.727, 195.768, 165.789,
7622  133.644, 99.1753, 62.2158, 48.547, 46.6012, 44.5147,
7623  42.2774, 39.8785, 37.3062, 34.548, 31.5904, 28.4192,
7624  25.8958, 24.5184, 23.0415, 21.4578, 19.7598, 17.9389,
7625  16.7458, 15.6361, 14.4463, 13.1704, 12.3502, 11.5999,
7626  10.7953, 10.0458, 9.29567, 8.53062, 8.01014, 7.45205,
7627  6.90829, 6.33872, 5.90848, 5.47009, 5.03778, 4.68132,
7628  4.34768, 4.02168, 3.6908, 3.42506, 3.1378, 2.91988,
7629  2.68726, 2.45227, 2.2351, 2.06286, 1.89214, 1.73695,
7630  1.57231, 1.44205, 1.31641, 1.17643, 1.06579, 0.956722,
7631  0.854878, 0.770102, 0.684759, 0.601075, 0.528096, 0.457173,
7632  0.395177, 0.335761, 0.280134, 0.228813, 0.179464, 0.132362,
7633  0.0900511, 0.0, 0.0, 0.0, 553.56, 549.322,
7634  544.777, 539.905, 534.68, 529.077, 523.07, 516.629,
7635  509.722, 502.316, 494.374, 485.859, 476.728, 466.938,
7636  456.44, 445.183, 433.113, 420.171, 406.293, 391.413,
7637  375.457, 358.347, 340.002, 320.331, 299.238, 276.621,
7638  252.369, 226.365, 198.481, 168.583, 136.523, 102.147,
7639  65.2868, 48.7786, 46.7901, 44.6579, 42.3716, 39.9201,
7640  37.2914, 34.4728, 31.4504, 28.2096, 25.505, 24.2261,
7641  22.8548, 21.3844, 19.8077, 18.1171, 16.9152, 15.8417,
7642  14.6906, 13.4563, 12.5548, 11.7432, 10.8729, 10.0913,
7643  9.35374, 8.57854, 8.10795, 7.60335, 7.0953, 6.55578,
7644  6.02168, 5.49674, 5.04161, 4.69441, 4.36532, 4.03163,
7645  3.70437, 3.42316, 3.18987, 2.89009, 2.67735, 2.46302,
7646  2.29129, 2.08487, 1.90554, 1.72677, 1.59093, 1.44357,
7647  1.3133, 1.18412, 1.08429, 0.970898, 0.880181, 0.777583,
7648  0.688711, 0.610818, 0.53606, 0.463202, 0.396753, 0.338906,
7649  0.285898, 0.231474, 0.18233, 0.136783, 0.0918243, 0.0,
7650  0.0, 0.0, 569.913, 565.568, 560.908, 555.912,
7651  550.555, 544.811, 538.652, 532.047, 524.965, 517.372,
7652  509.229, 500.498, 491.137, 481.098, 470.335, 458.793,
7653  446.417, 433.147, 418.918, 403.661, 387.301, 369.759,
7654  350.949, 330.78, 309.153, 285.963, 261.097, 234.435,
7655  205.845, 175.19, 142.319, 107.072, 69.2788, 49.4461,
7656  47.427, 45.2619, 42.9404, 40.451, 37.7818, 34.9197,
7657  31.8508, 28.5601, 25.6248, 24.2827, 22.8435, 21.3004,
7658  19.6457, 17.8715, 16.6438, 15.6711, 14.628, 13.5096,
7659  12.5818, 11.7302, 10.817, 10.0314, 9.36394, 8.64828,
7660  8.08117, 7.4801, 6.94973, 6.41221, 5.99111, 5.55972,
7661  5.1066, 4.76259, 4.41906, 4.02301, 3.69105, 3.43864,
7662  3.15717, 2.92245, 2.69787, 2.48099, 2.26673, 2.09849,
7663  1.93972, 1.77118, 1.59909, 1.44478, 1.31989, 1.2039,
7664  1.08412, 0.969836, 0.886784, 0.781826, 0.691354, 0.616087,
7665  0.541513, 0.470802, 0.405053, 0.337149, 0.286724, 0.234684,
7666  0.184559, 0.140588, 0.0959605, 0.0, 0.0, 0.0,
7667  567.29, 562.988, 558.374, 553.427, 548.122, 542.434,
7668  536.335, 529.795, 522.782, 515.263, 507.2, 498.555,
7669  489.285, 479.345, 468.686, 457.258, 445.003, 431.863,
7670  417.773, 402.665, 386.466, 369.095, 350.469, 330.497,
7671  309.082, 286.119, 261.497, 235.096, 206.786, 176.43,
7672  143.881, 108.98, 71.5563, 49.0499, 47.1003, 45.0098,
7673  42.7683, 40.3648, 37.7875, 35.024, 32.0609, 28.8835,
7674  25.8732, 24.5361, 23.1024, 21.5651, 19.9167, 18.1492,
7675  16.8313, 15.8256, 14.7471, 13.5908, 12.6271, 11.7952,
7676  10.9032, 10.0869, 9.38306, 8.6284, 8.13198, 7.63899,
7677  7.06712, 6.43614, 5.96191, 5.51229, 5.11308, 4.73841,
7678  4.38674, 4.06521, 3.78189, 3.49722, 3.22477, 2.93863,
7679  2.71981, 2.51033, 2.31362, 2.11205, 1.94825, 1.78332,
7680  1.611, 1.46191, 1.32331, 1.21052, 1.09739, 0.996468,
7681  0.883413, 0.795239, 0.702254, 0.613165, 0.544467, 0.475168,
7682  0.410543, 0.351665, 0.294086, 0.239287, 0.190676, 0.143061,
7683  0.0993013, 0.0557728, 0.0, 0.0, 561.707, 557.48,
7684  552.948, 548.088, 542.877, 537.289, 531.298, 524.873,
7685  517.985, 510.598, 502.678, 494.185, 485.078, 475.314,
7686  464.843, 453.616, 441.578, 428.67, 414.829, 399.987,
7687  384.073, 367.009, 348.712, 329.093, 308.055, 285.498,
7688  261.31, 235.374, 207.564, 177.744, 145.769, 111.484,
7689  74.7205, 49.7424, 47.7481, 45.6097, 43.3167, 40.8581,
7690  38.2217, 35.3949, 32.3637, 29.1135, 25.8723, 24.5856,
7691  23.2059, 21.7265, 20.1402, 18.4392, 17.0629, 16.0154,
7692  14.8922, 13.6878, 12.6642, 11.8312, 10.938, 10.1107,
7693  9.44111, 8.72308, 8.16051, 7.60545, 7.07968, 6.5562,
7694  6.09141, 5.6309, 5.19319, 4.80601, 4.47252, 4.18985,
7695  3.81882, 3.5109, 3.21757, 2.96565, 2.76005, 2.50553,
7696  2.29485, 2.1399, 1.97145, 1.77223, 1.62536, 1.49765,
7697  1.3511, 1.21917, 1.10805, 0.990924, 0.895467, 0.801051,
7698  0.702583, 0.628345, 0.549371, 0.475083, 0.415606, 0.353837,
7699  0.294117, 0.242396, 0.192584, 0.146158, 0.102867, 0.059951,
7700  0.0, 0.0};
7701 
7703 const std::initializer_list<double> BREMS_PIPI_PIPI_SAME_DIFF_SIG_THETA = {
7704  0.000136851, 0.000139417, 0.000148353, 0.000162834, 0.000181017,
7705  0.000204793, 0.00023246, 0.000262819, 0.000294525, 0.000326507,
7706  0.000359434, 0.000391146, 0.000421391, 0.000448662, 0.000473523,
7707  0.000492359, 0.000507932, 0.000518456, 0.000524705, 0.000526982,
7708  0.00052016, 0.000512568, 0.000500016, 0.00048333, 0.000463029,
7709  0.000439347, 0.000413075, 0.000384915, 0.000356119, 0.000326575,
7710  0.000298284, 0.00027046, 0.000243258, 0.000218871, 0.000196257,
7711  0.000177898, 0.000162038, 0.000149812, 0.000141364, 0.000137636,
7712  0.000137601, 0.000140895, 0.000150269, 0.000161427, 0.000177515,
7713  0.000196565, 0.000218914, 0.000242992, 0.000269973, 0.000298784,
7714  0.000327439, 0.00035598, 0.000384957, 0.000413868, 0.000439404,
7715  0.000462217, 0.000482045, 0.000499627, 0.000513171, 0.000521617,
7716  0.000526158, 0.000524347, 0.000519489, 0.00050821, 0.000493393,
7717  0.000471624, 0.000448212, 0.000420541, 0.000391154, 0.000359484,
7718  0.00032587, 0.000294883, 0.000261932, 0.000231978, 0.0002053,
7719  0.000181584, 0.000162648, 0.000148205, 0.000139979, 0.000136603,
7720  0.000345003, 0.000352051, 0.000372964, 0.000408842, 0.000458156,
7721  0.000515222, 0.000581615, 0.000655653, 0.000734457, 0.000812781,
7722  0.000894041, 0.000969345, 0.00103607, 0.00110014, 0.00115866,
7723  0.00119882, 0.00123163, 0.00125301, 0.00126488, 0.00126115,
7724  0.00124979, 0.00122211, 0.00118564, 0.00114364, 0.00109283,
7725  0.0010346, 0.000974248, 0.000907447, 0.000840807, 0.000774426,
7726  0.000706595, 0.000644092, 0.000580601, 0.000527394, 0.000476611,
7727  0.000434001, 0.00039844, 0.000372286, 0.000354666, 0.000342677,
7728  0.000344518, 0.00035454, 0.000372421, 0.000398783, 0.000433635,
7729  0.000476531, 0.000525537, 0.000583224, 0.00064249, 0.000707644,
7730  0.000773621, 0.000841341, 0.000906277, 0.000971762, 0.00103486,
7731  0.00109442, 0.00114364, 0.00118606, 0.00122499, 0.00124443,
7732  0.00125965, 0.00126372, 0.00125474, 0.00123308, 0.00120154,
7733  0.00115605, 0.0011029, 0.0010405, 0.000966405, 0.000887898,
7734  0.000814138, 0.000732829, 0.000655291, 0.000581611, 0.000515947,
7735  0.000455373, 0.000409765, 0.000373307, 0.000352517, 0.000344621,
7736  0.00067455, 0.000688628, 0.000730759, 0.000802638, 0.000903062,
7737  0.00101755, 0.00114707, 0.00129032, 0.00144807, 0.00159996,
7738  0.00175246, 0.00189611, 0.00202565, 0.00214622, 0.00222906,
7739  0.00232016, 0.00237013, 0.0024013, 0.00241045, 0.00240137,
7740  0.002362, 0.00230539, 0.00223554, 0.00214649, 0.00205274,
7741  0.00193803, 0.00181858, 0.00169374, 0.00156532, 0.00144486,
7742  0.00132291, 0.00120357, 0.00109685, 0.000996608, 0.000905266,
7743  0.000829772, 0.00077102, 0.000723354, 0.000689071, 0.000674932,
7744  0.000673723, 0.000692891, 0.000720723, 0.000774616, 0.000833059,
7745  0.000908885, 0.000996535, 0.00110338, 0.00120577, 0.00132385,
7746  0.00144654, 0.00157359, 0.00169338, 0.00181772, 0.00193599,
7747  0.00205088, 0.00215034, 0.00223628, 0.00230441, 0.00236422,
7748  0.00239693, 0.00240945, 0.0023941, 0.00237065, 0.00231463,
7749  0.00223398, 0.00214268, 0.00202408, 0.00189551, 0.00175021,
7750  0.00159851, 0.00144751, 0.00129574, 0.00115231, 0.00101469,
7751  0.00089899, 0.000805479, 0.000731224, 0.000688426, 0.000675107,
7752  0.00114416, 0.00117092, 0.00124841, 0.00137156, 0.00153533,
7753  0.00173637, 0.00197584, 0.00221808, 0.00247066, 0.00274382,
7754  0.00298848, 0.00322467, 0.00343762, 0.00362001, 0.00378166,
7755  0.00389487, 0.00396987, 0.00401296, 0.00400991, 0.00397159,
7756  0.00390475, 0.00379852, 0.00367798, 0.00351669, 0.00334681,
7757  0.00315634, 0.00296193, 0.00276283, 0.00256576, 0.00235825,
7758  0.0021646, 0.00197923, 0.00180829, 0.00165065, 0.00151014,
7759  0.00138814, 0.00129187, 0.00121853, 0.00116615, 0.00113852,
7760  0.00114151, 0.00116335, 0.00121319, 0.00129611, 0.00138895,
7761  0.00151187, 0.00164597, 0.00180647, 0.0019781, 0.00216468,
7762  0.00235639, 0.00255993, 0.00276402, 0.00296674, 0.00315539,
7763  0.00334738, 0.00351739, 0.00366917, 0.00380365, 0.0039081,
7764  0.00398025, 0.00400858, 0.00401304, 0.00398383, 0.00388858,
7765  0.00377372, 0.00363112, 0.0034622, 0.00322995, 0.00299606,
7766  0.00273689, 0.00249001, 0.00222008, 0.00197461, 0.0017429,
7767  0.00154, 0.00137512, 0.0012471, 0.00117046, 0.00114656,
7768  0.00176635, 0.00181283, 0.00193091, 0.0021368, 0.00239534,
7769  0.00272612, 0.00308548, 0.00347527, 0.00388576, 0.00428533,
7770  0.0046812, 0.0050344, 0.00535748, 0.0056268, 0.00583564,
7771  0.00599266, 0.00610407, 0.00611288, 0.00609534, 0.00603757,
7772  0.00590812, 0.00573024, 0.00552403, 0.00527702, 0.00501133,
7773  0.00473313, 0.00442229, 0.00412468, 0.00382254, 0.00352497,
7774  0.0032358, 0.00297032, 0.00272233, 0.0024922, 0.00228023,
7775  0.00211492, 0.00196936, 0.0018612, 0.00179378, 0.00174975,
7776  0.00175453, 0.00179606, 0.00186306, 0.00197471, 0.00211471,
7777  0.00228894, 0.0024858, 0.00271885, 0.00296691, 0.00323438,
7778  0.00351197, 0.00382372, 0.00412667, 0.00442214, 0.00471792,
7779  0.00500355, 0.0052869, 0.00550474, 0.00572826, 0.00588807,
7780  0.00602343, 0.00610068, 0.00611601, 0.00608855, 0.00598637,
7781  0.00584014, 0.00562298, 0.00535904, 0.00502475, 0.0046709,
7782  0.00430245, 0.00390261, 0.00347716, 0.00308901, 0.00271832,
7783  0.00240126, 0.00212593, 0.00192796, 0.0018044, 0.00176736,
7784  0.00256098, 0.00261592, 0.00280888, 0.00311059, 0.00352119,
7785  0.00398299, 0.00453268, 0.00509976, 0.00569898, 0.00629549,
7786  0.00681673, 0.00734026, 0.00778128, 0.00817829, 0.00844212,
7787  0.00864554, 0.00874247, 0.00877061, 0.00870423, 0.00856009,
7788  0.00837188, 0.00809662, 0.00776584, 0.00741908, 0.00704079,
7789  0.00663001, 0.00621675, 0.00577653, 0.00535843, 0.00493438,
7790  0.00454183, 0.0041619, 0.00382643, 0.00350823, 0.00324258,
7791  0.00301089, 0.00282853, 0.00268039, 0.00256601, 0.00253908,
7792  0.00253382, 0.00257056, 0.00267715, 0.00281567, 0.00300604,
7793  0.00323873, 0.00351191, 0.003818, 0.00418615, 0.00454911,
7794  0.00493137, 0.0053433, 0.00577406, 0.00621103, 0.00663352,
7795  0.00704559, 0.00744177, 0.00777213, 0.00810943, 0.00835362,
7796  0.00855567, 0.00870087, 0.00875593, 0.00874903, 0.00862983,
7797  0.00844219, 0.00814768, 0.00780458, 0.00733897, 0.0068464,
7798  0.00625591, 0.00570134, 0.00512214, 0.00453356, 0.00398109,
7799  0.00349417, 0.00310335, 0.00280297, 0.00260878, 0.00254964,
7800  0.00351449, 0.00360884, 0.00386734, 0.00430969, 0.00488318,
7801  0.00556213, 0.00633583, 0.00715445, 0.00796614, 0.00879319,
7802  0.00953616, 0.0102135, 0.0108118, 0.0113136, 0.0116324,
7803  0.0118548, 0.0119643, 0.0119866, 0.011847, 0.0116299,
7804  0.0113166, 0.0109505, 0.0104862, 0.0099766, 0.00940934,
7805  0.00888211, 0.00830046, 0.00770902, 0.00715468, 0.0065905,
7806  0.00608878, 0.00559175, 0.00515138, 0.00472981, 0.00438298,
7807  0.00409048, 0.00383573, 0.0036359, 0.00354176, 0.00346651,
7808  0.00347014, 0.00352053, 0.00367116, 0.00384896, 0.0040755,
7809  0.00438046, 0.00474038, 0.00514231, 0.0055789, 0.00610358,
7810  0.00660332, 0.00715533, 0.00772481, 0.00829848, 0.00887017,
7811  0.00942653, 0.00998915, 0.0104733, 0.0109099, 0.0113277,
7812  0.0116148, 0.0118021, 0.0119663, 0.012002, 0.0118432,
7813  0.0115975, 0.0112844, 0.0108309, 0.01022, 0.00955675,
7814  0.00876093, 0.00798398, 0.00717222, 0.00632824, 0.00557574,
7815  0.00488626, 0.00430981, 0.00387687, 0.0035972, 0.00351403,
7816  0.0046428, 0.00476989, 0.00514597, 0.00574515, 0.00653693,
7817  0.00746457, 0.00854583, 0.00964262, 0.0107656, 0.0118087,
7818  0.0128578, 0.0136962, 0.0144033, 0.0150164, 0.0154656,
7819  0.0156531, 0.0157754, 0.0156888, 0.0155197, 0.0151655,
7820  0.0147034, 0.0141788, 0.0135423, 0.0128943, 0.0121707,
7821  0.011449, 0.01067, 0.00993489, 0.0092225, 0.00854278,
7822  0.00788759, 0.00723582, 0.00664736, 0.00615688, 0.00571838,
7823  0.00533037, 0.00502803, 0.00479559, 0.00464391, 0.00456803,
7824  0.004571, 0.00466373, 0.00479849, 0.00501724, 0.00535737,
7825  0.0057198, 0.00615418, 0.00668225, 0.00724532, 0.00786467,
7826  0.00851685, 0.00921582, 0.00996101, 0.0107119, 0.0114558,
7827  0.0121831, 0.0129033, 0.0135726, 0.014161, 0.0147119,
7828  0.0151107, 0.0154789, 0.0157485, 0.0157782, 0.0156762,
7829  0.0154702, 0.0150113, 0.0144453, 0.0136673, 0.0127895,
7830  0.0118269, 0.0107677, 0.0096764, 0.00855701, 0.00747391,
7831  0.00652305, 0.0057479, 0.00514391, 0.00478041, 0.00466042,
7832  0.00596833, 0.0061525, 0.00664221, 0.00745553, 0.00847133,
7833  0.00976883, 0.0111802, 0.0125883, 0.0140564, 0.0153701,
7834  0.0166945, 0.0177957, 0.0186383, 0.0193909, 0.0198793,
7835  0.0201047, 0.0202118, 0.0200001, 0.0196584, 0.0192304,
7836  0.0185745, 0.0178773, 0.0170981, 0.0162179, 0.0152662,
7837  0.0143501, 0.0133855, 0.0124656, 0.0115303, 0.0106592,
7838  0.00982309, 0.0090911, 0.00839529, 0.00779764, 0.00726709,
7839  0.00677403, 0.00640065, 0.00613477, 0.00593222, 0.00584471,
7840  0.00584547, 0.00593062, 0.00609607, 0.00640149, 0.00677589,
7841  0.00722888, 0.00776077, 0.00838645, 0.00909659, 0.00985779,
7842  0.0106576, 0.011549, 0.0124769, 0.0133724, 0.0143407,
7843  0.0152483, 0.0161694, 0.0170492, 0.0178663, 0.0185452,
7844  0.0192025, 0.0197138, 0.0199842, 0.0201347, 0.0201287,
7845  0.0198561, 0.0193479, 0.0187042, 0.017749, 0.0166924,
7846  0.0154179, 0.0140474, 0.0125993, 0.0111466, 0.00977638,
7847  0.00853066, 0.00746678, 0.00663664, 0.0061244, 0.00598065,
7848  0.00745561, 0.00771181, 0.00837676, 0.00941586, 0.0108072,
7849  0.0124506, 0.0142179, 0.0160479, 0.0179402, 0.0196669,
7850  0.0212054, 0.022552, 0.0236274, 0.0244025, 0.0249041,
7851  0.0251505, 0.0251515, 0.0248516, 0.0244164, 0.0237162,
7852  0.022867, 0.0219348, 0.0209325, 0.0198138, 0.0186737,
7853  0.0174736, 0.0164035, 0.0151719, 0.014053, 0.0130325,
7854  0.0120236, 0.0111458, 0.0103115, 0.00955171, 0.00892005,
7855  0.00839602, 0.00795435, 0.00761877, 0.00735788, 0.00727548,
7856  0.00728696, 0.00736055, 0.00758083, 0.00792705, 0.00835636,
7857  0.00895608, 0.00957387, 0.0103199, 0.0111302, 0.0120578,
7858  0.0130933, 0.0141013, 0.01519, 0.0163648, 0.0175365,
7859  0.0187262, 0.0198611, 0.0208921, 0.0219614, 0.0229742,
7860  0.0237389, 0.0243362, 0.024837, 0.0251508, 0.0252246,
7861  0.0249457, 0.0243533, 0.0235902, 0.0225353, 0.0211439,
7862  0.0196566, 0.0178838, 0.0160719, 0.0141935, 0.0124508,
7863  0.0107792, 0.00941113, 0.00834691, 0.00769877, 0.00748783,
7864  0.00916454, 0.0094602, 0.0103176, 0.0117088, 0.0134637,
7865  0.0155276, 0.0177829, 0.0200903, 0.0223905, 0.0245171,
7866  0.0263647, 0.0278643, 0.0292115, 0.030174, 0.0306946,
7867  0.0308177, 0.0306809, 0.0303362, 0.0296091, 0.0287418,
7868  0.0276546, 0.0264493, 0.0251089, 0.0238444, 0.0223573,
7869  0.0209251, 0.0195971, 0.018194, 0.0168576, 0.0156289,
7870  0.0144659, 0.0133725, 0.0123771, 0.0115629, 0.0107672,
7871  0.0101514, 0.00962851, 0.00926196, 0.00897225, 0.00887852,
7872  0.00883822, 0.00898132, 0.00921762, 0.00965223, 0.0101579,
7873  0.0107681, 0.011574, 0.0124043, 0.0133712, 0.0144435,
7874  0.0156683, 0.0168793, 0.0181966, 0.0196118, 0.021019,
7875  0.0223735, 0.0238557, 0.025143, 0.0264695, 0.0277032,
7876  0.0287501, 0.0296407, 0.03033, 0.0306925, 0.0307322,
7877  0.0306411, 0.0300606, 0.02919, 0.0279885, 0.0264263,
7878  0.0244703, 0.0224894, 0.0200171, 0.0177878, 0.015525,
7879  0.0134414, 0.0116806, 0.0103377, 0.00945521, 0.00923775,
7880  0.0110659, 0.0114086, 0.0124822, 0.0141991, 0.0164899,
7881  0.0189602, 0.0218161, 0.0246305, 0.027382, 0.0299982,
7882  0.0322035, 0.0339378, 0.0354496, 0.0364208, 0.0369485,
7883  0.0371196, 0.0368673, 0.0362013, 0.0352869, 0.034138,
7884  0.0327758, 0.0313662, 0.0297706, 0.0280362, 0.0263431,
7885  0.0246955, 0.023017, 0.0214125, 0.0198713, 0.0184314,
7886  0.0170667, 0.015814, 0.0146812, 0.0136736, 0.0128195,
7887  0.0121304, 0.0114859, 0.010996, 0.0107398, 0.0105836,
7888  0.0105841, 0.0107511, 0.0110528, 0.0115089, 0.0120657,
7889  0.0127591, 0.0137005, 0.0146438, 0.015787, 0.0170287,
7890  0.0184174, 0.0199588, 0.0214152, 0.0230271, 0.0246519,
7891  0.0263784, 0.0280591, 0.0297625, 0.0313607, 0.0327292,
7892  0.0341821, 0.035288, 0.0362252, 0.0367859, 0.0371173,
7893  0.0368798, 0.0364184, 0.0354626, 0.0340648, 0.0321708,
7894  0.0300063, 0.0274244, 0.0246381, 0.021864, 0.018958,
7895  0.016441, 0.0142007, 0.0124724, 0.0113906, 0.0110736,
7896  0.0131232, 0.0136223, 0.0149159, 0.0170491, 0.0197346,
7897  0.0229853, 0.0263176, 0.0297766, 0.033094, 0.0359747,
7898  0.0386025, 0.0407817, 0.0426207, 0.0432155, 0.0439068,
7899  0.043858, 0.0434317, 0.0426195, 0.0413044, 0.0398585,
7900  0.0382502, 0.0364443, 0.0346119, 0.0325912, 0.0306666,
7901  0.0286012, 0.0267031, 0.0248217, 0.0230002, 0.0213524,
7902  0.0198527, 0.0184297, 0.0171131, 0.0159633, 0.0150499,
7903  0.0142171, 0.0134865, 0.012974, 0.0126505, 0.0125027,
7904  0.0124403, 0.0126412, 0.0130093, 0.0134568, 0.0141944,
7905  0.0149606, 0.0159748, 0.0171164, 0.0183599, 0.0198505,
7906  0.0213857, 0.0230225, 0.0248124, 0.0266865, 0.0286668,
7907  0.0305885, 0.0326542, 0.0345465, 0.0364817, 0.0382853,
7908  0.0399134, 0.041219, 0.042578, 0.0434161, 0.0439419,
7909  0.0437894, 0.0433021, 0.0423225, 0.040734, 0.0386525,
7910  0.0359378, 0.0330468, 0.0297612, 0.0262757, 0.0229243,
7911  0.019756, 0.0170197, 0.0149075, 0.0135768, 0.0131303,
7912  0.0153811, 0.0158724, 0.0175924, 0.0201024, 0.0234556,
7913  0.0272174, 0.031537, 0.035356, 0.0394071, 0.0430401,
7914  0.0458862, 0.0481355, 0.0499833, 0.0508931, 0.0513064,
7915  0.0512462, 0.0506018, 0.0495238, 0.0480318, 0.0461264,
7916  0.0439838, 0.0419198, 0.039735, 0.0374344, 0.0351033,
7917  0.0326834, 0.0305855, 0.0283315, 0.0263481, 0.0244926,
7918  0.0227228, 0.0211436, 0.0195992, 0.0183979, 0.0172687,
7919  0.0164051, 0.0156597, 0.0150857, 0.0147128, 0.0144996,
7920  0.0145049, 0.014747, 0.0150691, 0.0156262, 0.016327,
7921  0.0173164, 0.0183108, 0.0197236, 0.0211099, 0.0227338,
7922  0.024467, 0.0263523, 0.0283373, 0.0306213, 0.0327142,
7923  0.0351273, 0.0372795, 0.0397933, 0.0420464, 0.044075,
7924  0.0461844, 0.0479647, 0.0494823, 0.0505392, 0.0512729,
7925  0.0513812, 0.0509438, 0.049915, 0.0481904, 0.0458751,
7926  0.042989, 0.0393941, 0.0354458, 0.0313741, 0.0273332,
7927  0.023485, 0.0201699, 0.0175563, 0.015907, 0.0153836,
7928  0.0178137, 0.0184595, 0.0204779, 0.0235527, 0.027561,
7929  0.0321855, 0.0370348, 0.0417791, 0.0463498, 0.050373,
7930  0.0536164, 0.0563042, 0.0582225, 0.0591971, 0.0594606,
7931  0.0589992, 0.058126, 0.0565844, 0.0548365, 0.0526467,
7932  0.0501766, 0.0477622, 0.0451083, 0.0423824, 0.0396393,
7933  0.0370244, 0.0346278, 0.0321355, 0.0298412, 0.0277423,
7934  0.0257148, 0.0239844, 0.0223774, 0.0210005, 0.0197249,
7935  0.0186757, 0.0179042, 0.017298, 0.0168889, 0.016704,
7936  0.0166985, 0.0168522, 0.0173055, 0.0179238, 0.0187236,
7937  0.019737, 0.0209645, 0.0223419, 0.0239953, 0.0256744,
7938  0.0277319, 0.0298209, 0.0321796, 0.0345823, 0.0371031,
7939  0.0397571, 0.0422947, 0.044984, 0.0476798, 0.0503612,
7940  0.0526433, 0.0547954, 0.0567358, 0.0582549, 0.0590774,
7941  0.0595525, 0.05922, 0.0581569, 0.0564037, 0.0537193,
7942  0.050606, 0.0463849, 0.0418615, 0.0370353, 0.0321853,
7943  0.0275057, 0.0235014, 0.0204526, 0.0184629, 0.0178257,
7944  0.0204548, 0.0212562, 0.0236241, 0.0273292, 0.0320661,
7945  0.0375965, 0.0431171, 0.0489431, 0.0539359, 0.0586713,
7946  0.0623631, 0.0650944, 0.0669113, 0.0677715, 0.0678505,
7947  0.0673776, 0.0661666, 0.0642883, 0.0620817, 0.0594389,
7948  0.0566252, 0.0536831, 0.0506044, 0.0476306, 0.0444422,
7949  0.0416831, 0.0388229, 0.0359555, 0.0334753, 0.0311752,
7950  0.0289714, 0.0270222, 0.0251258, 0.023567, 0.0222307,
7951  0.0211709, 0.0203437, 0.0196519, 0.019132, 0.0189324,
7952  0.0189435, 0.0192323, 0.0196901, 0.0202864, 0.0212065,
7953  0.022319, 0.023653, 0.0251257, 0.0269495, 0.0288921,
7954  0.031086, 0.0335583, 0.0359986, 0.0386929, 0.0415835,
7955  0.044552, 0.0476207, 0.0506632, 0.0535862, 0.0566897,
7956  0.0594362, 0.062015, 0.0643764, 0.0661251, 0.0672842,
7957  0.0681338, 0.0679092, 0.0668228, 0.0648462, 0.0622815,
7958  0.0587846, 0.0538657, 0.048754, 0.043063, 0.0374751,
7959  0.0320176, 0.0272695, 0.0235718, 0.0212503, 0.0203948,
7960  0.0231707, 0.0241928, 0.0269972, 0.0313791, 0.0369869,
7961  0.0432891, 0.0500645, 0.0564323, 0.0622033, 0.0675656,
7962  0.071225, 0.0743021, 0.0762605, 0.0772874, 0.0772431,
7963  0.0758777, 0.0745282, 0.0719487, 0.0696098, 0.0666802,
7964  0.063409, 0.0597691, 0.0563736, 0.0528797, 0.0495143,
7965  0.046171, 0.0431351, 0.040064, 0.0372339, 0.0345705,
7966  0.0321779, 0.0300369, 0.0281474, 0.0263775, 0.0248778,
7967  0.023655, 0.0228771, 0.022037, 0.02154, 0.0213146,
7968  0.0213097, 0.0215973, 0.0220364, 0.0227482, 0.0237997,
7969  0.0249995, 0.0263724, 0.0280914, 0.0300596, 0.0321167,
7970  0.0346006, 0.0371226, 0.0399169, 0.0428213, 0.046237,
7971  0.0495917, 0.0528724, 0.0564323, 0.0598972, 0.0631169,
7972  0.0665472, 0.0696414, 0.0722309, 0.074516, 0.0761987,
7973  0.077242, 0.0773388, 0.0764847, 0.0744463, 0.0715388,
7974  0.0673498, 0.0623193, 0.0563053, 0.0498666, 0.0432891,
7975  0.0369589, 0.0313584, 0.0269644, 0.0241818, 0.0232801,
7976  0.026185, 0.0273085, 0.0305826, 0.0356416, 0.0422657,
7977  0.0495173, 0.0573333, 0.0647211, 0.071294, 0.0768332,
7978  0.0810356, 0.0845016, 0.0864898, 0.0868245, 0.0867937,
7979  0.0853493, 0.0833497, 0.0803752, 0.0772469, 0.0740303,
7980  0.0700578, 0.0661224, 0.0622293, 0.0582561, 0.0545742,
7981  0.0508557, 0.0473782, 0.0441383, 0.0410043, 0.0381621,
7982  0.0355647, 0.0331713, 0.0311278, 0.0292745, 0.0275928,
7983  0.0264723, 0.0253925, 0.0245676, 0.024083, 0.0238014,
7984  0.0238695, 0.0240416, 0.0244498, 0.0254173, 0.0263858,
7985  0.0277155, 0.0293204, 0.0311296, 0.0332416, 0.0354783,
7986  0.0380971, 0.0409914, 0.0441505, 0.0473405, 0.0509396,
7987  0.0544259, 0.0582885, 0.0623151, 0.0663085, 0.0700571,
7988  0.0737378, 0.0774025, 0.0803424, 0.083188, 0.0853569,
7989  0.0866316, 0.0870419, 0.0865264, 0.0844753, 0.0813952,
7990  0.0767783, 0.0710561, 0.0643493, 0.0572048, 0.04961,
7991  0.0424247, 0.0357099, 0.0305823, 0.0272203, 0.0261123,
7992  0.0292246, 0.0306597, 0.034419, 0.0405044, 0.0479898,
7993  0.0564876, 0.0650414, 0.0734251, 0.0806447, 0.0868978,
7994  0.0916915, 0.0952457, 0.0969085, 0.0971796, 0.0965741,
7995  0.0949002, 0.0923634, 0.0888123, 0.0853756, 0.0810646,
7996  0.0770395, 0.0723155, 0.0681422, 0.0639173, 0.0598423,
7997  0.0557734, 0.0517972, 0.0483143, 0.0449501, 0.0418653,
7998  0.0390181, 0.0364242, 0.0343553, 0.0322064, 0.0305405,
7999  0.0291866, 0.0279745, 0.0272726, 0.0266617, 0.0263102,
8000  0.0264422, 0.0264579, 0.0271335, 0.0280569, 0.0292023,
8001  0.0303912, 0.0322107, 0.0342219, 0.0363042, 0.0389876,
8002  0.0419103, 0.0448471, 0.0482487, 0.0518246, 0.0558245,
8003  0.0597638, 0.0637873, 0.0681868, 0.0727582, 0.0767749,
8004  0.0812434, 0.0851994, 0.0888298, 0.0922997, 0.0947713,
8005  0.0966096, 0.097061, 0.0966042, 0.0951198, 0.0916236,
8006  0.0870125, 0.0808568, 0.0735098, 0.0652835, 0.0565871,
8007  0.0480333, 0.0403004, 0.0345402, 0.0306441, 0.0292731,
8008  0.0326615, 0.0341397, 0.0385255, 0.0454389, 0.0542672,
8009  0.0636466, 0.0737782, 0.0828117, 0.0908363, 0.0977607,
8010  0.102858, 0.106074, 0.108336, 0.108087, 0.106701,
8011  0.104614, 0.101595, 0.097829, 0.0935008, 0.0885557,
8012  0.0840445, 0.078983, 0.0741511, 0.069336, 0.0648542,
8013  0.0604509, 0.0562809, 0.0523706, 0.0488912, 0.0453192,
8014  0.0424144, 0.0397617, 0.0374451, 0.0352238, 0.0333722,
8015  0.0319673, 0.0306845, 0.0298611, 0.0292644, 0.0288712,
8016  0.0290092, 0.0292185, 0.029767, 0.0308133, 0.0319983,
8017  0.0335262, 0.0350557, 0.0372076, 0.0396255, 0.042438,
8018  0.0454789, 0.0487315, 0.0523908, 0.0563785, 0.060648,
8019  0.0650368, 0.0694355, 0.0743601, 0.0791866, 0.0839423,
8020  0.0888538, 0.093534, 0.0977112, 0.101454, 0.104601,
8021  0.106922, 0.108257, 0.107861, 0.10598, 0.10291,
8022  0.0976055, 0.0908488, 0.0827061, 0.073453, 0.0637114,
8023  0.0541937, 0.045487, 0.0385137, 0.0341335, 0.032596,
8024  0.0360054, 0.0377269, 0.0428773, 0.0508435, 0.0608878,
8025  0.071654, 0.082472, 0.0925407, 0.102442, 0.109052,
8026  0.114311, 0.117603, 0.119071, 0.118965, 0.117908,
8027  0.114721, 0.111115, 0.106742, 0.101692, 0.096133,
8028  0.0911173, 0.0855273, 0.0801803, 0.0750422, 0.0701375,
8029  0.0654787, 0.0606286, 0.0565787, 0.0527855, 0.0492089,
8030  0.0460852, 0.0431004, 0.0405125, 0.0382967, 0.0362939,
8031  0.0347607, 0.0336063, 0.032629, 0.0318727, 0.0317397,
8032  0.0315813, 0.0319782, 0.0326283, 0.0335419, 0.0348658,
8033  0.0363689, 0.0383344, 0.0403779, 0.0430973, 0.0460196,
8034  0.0491772, 0.052599, 0.0566016, 0.0609504, 0.0652515,
8035  0.0700902, 0.0748539, 0.0801925, 0.0857455, 0.091242,
8036  0.0966603, 0.10169, 0.106549, 0.110928, 0.114759,
8037  0.117532, 0.119138, 0.119161, 0.11782, 0.114597,
8038  0.108968, 0.101804, 0.0930059, 0.0828235, 0.0718118,
8039  0.0606899, 0.0507684, 0.0429109, 0.0377988, 0.0359784,
8040  0.0395725, 0.041916, 0.0474579, 0.0566035, 0.0678924,
8041  0.0801765, 0.0923031, 0.103306, 0.113447, 0.121379,
8042  0.126495, 0.12975, 0.130792, 0.130477, 0.128379,
8043  0.125257, 0.120384, 0.115226, 0.109977, 0.10388,
8044  0.0984246, 0.0926478, 0.0863163, 0.0806032, 0.0751887,
8045  0.0701627, 0.0653224, 0.0607117, 0.0568285, 0.0528759,
8046  0.0495307, 0.046319, 0.0438607, 0.0414203, 0.0393552,
8047  0.0376835, 0.0364165, 0.035457, 0.0347069, 0.0344288,
8048  0.0343855, 0.0346324, 0.035371, 0.036358, 0.0377054,
8049  0.0393701, 0.0412941, 0.0438123, 0.0466019, 0.0495559,
8050  0.0529746, 0.0567495, 0.0608634, 0.0653163, 0.0699778,
8051  0.075284, 0.0806291, 0.0864337, 0.0923329, 0.0980925,
8052  0.10405, 0.11023, 0.115606, 0.120601, 0.125197,
8053  0.128381, 0.130657, 0.131007, 0.130164, 0.126848,
8054  0.121084, 0.113485, 0.10345, 0.0923527, 0.0799363,
8055  0.0676766, 0.056528, 0.0473904, 0.0416129, 0.0397235,
8056  0.0433219, 0.0455617, 0.0521457, 0.062354, 0.0752234,
8057  0.0886956, 0.102346, 0.114794, 0.125927, 0.133757,
8058  0.139188, 0.142647, 0.143638, 0.142313, 0.139364,
8059  0.135293, 0.130638, 0.124697, 0.118285, 0.111679,
8060  0.105223, 0.0988616, 0.0926253, 0.0862537, 0.0805143,
8061  0.0750243, 0.0698142, 0.0650715, 0.060651, 0.0566634,
8062  0.0529376, 0.0497171, 0.0466213, 0.044621, 0.0423439,
8063  0.0405197, 0.0390578, 0.0381214, 0.0374884, 0.037119,
8064  0.037141, 0.0375019, 0.0381911, 0.039091, 0.0405067,
8065  0.0423259, 0.0445081, 0.0469046, 0.0497557, 0.052909,
8066  0.0566393, 0.0607368, 0.0650139, 0.0698527, 0.0750952,
8067  0.0805509, 0.0862976, 0.0924671, 0.0989157, 0.10516,
8068  0.112041, 0.118509, 0.124533, 0.13019, 0.135622,
8069  0.139482, 0.142653, 0.143589, 0.142862, 0.139195,
8070  0.133261, 0.125243, 0.115096, 0.102408, 0.0890083,
8071  0.0750716, 0.0625599, 0.052408, 0.0456776, 0.0433787,
8072  0.0471742, 0.0498857, 0.057421, 0.0687759, 0.0831228,
8073  0.0982114, 0.112924, 0.126723, 0.137895, 0.146764,
8074  0.152038, 0.155322, 0.155611, 0.154144, 0.150888,
8075  0.145813, 0.140234, 0.133916, 0.126799, 0.11963,
8076  0.112421, 0.105441, 0.0984845, 0.0919756, 0.0856555,
8077  0.079629, 0.0744016, 0.0690725, 0.0645484, 0.0603014,
8078  0.0565612, 0.052972, 0.0502456, 0.0475243, 0.0453916,
8079  0.0435148, 0.0420316, 0.0408896, 0.0403546, 0.0399546,
8080  0.0398951, 0.0403657, 0.0409029, 0.0421421, 0.0434329,
8081  0.0455392, 0.0475536, 0.0500843, 0.0533533, 0.056557,
8082  0.0604547, 0.0642929, 0.0692422, 0.0742232, 0.0798726,
8083  0.0854831, 0.0917445, 0.0984067, 0.105746, 0.112507,
8084  0.119556, 0.12699, 0.133922, 0.140335, 0.145644,
8085  0.150957, 0.153738, 0.156078, 0.155379, 0.152665,
8086  0.14675, 0.138293, 0.12637, 0.113213, 0.0981725,
8087  0.0827991, 0.0688472, 0.0572555, 0.0496958, 0.0472406,
8088  0.051393, 0.0542074, 0.0628264, 0.0754933, 0.0912141,
8089  0.107854, 0.124473, 0.139478, 0.151919, 0.160377,
8090  0.166119, 0.168882, 0.169111, 0.166515, 0.162351,
8091  0.156516, 0.149841, 0.143147, 0.135288, 0.127344,
8092  0.119556, 0.111914, 0.104614, 0.0974122, 0.0905392,
8093  0.0845939, 0.0786318, 0.0733508, 0.0685124, 0.0642231,
8094  0.0600882, 0.0562817, 0.053473, 0.0507646, 0.0482209,
8095  0.0464356, 0.0449913, 0.0439129, 0.0429993, 0.042631,
8096  0.042724, 0.043161, 0.0438073, 0.0450523, 0.0464951,
8097  0.0484634, 0.0505472, 0.0533453, 0.0564986, 0.0600005,
8098  0.0639726, 0.068483, 0.0734766, 0.0784153, 0.0843617,
8099  0.0909423, 0.0974035, 0.104474, 0.111927, 0.119798,
8100  0.127387, 0.135297, 0.142721, 0.150092, 0.156895,
8101  0.162255, 0.166531, 0.169069, 0.168719, 0.165753,
8102  0.160296, 0.151734, 0.138768, 0.124883, 0.108241,
8103  0.0912957, 0.0756882, 0.0625633, 0.0544255, 0.05134,
8104  0.0553849, 0.0586088, 0.068321, 0.0827332, 0.100007,
8105  0.118671, 0.136449, 0.152055, 0.16509, 0.173799,
8106  0.180153, 0.182462, 0.182197, 0.178658, 0.174665,
8107  0.167666, 0.159921, 0.152009, 0.143706, 0.135241,
8108  0.126687, 0.118911, 0.110094, 0.102629, 0.0959328,
8109  0.0892798, 0.0829703, 0.0775009, 0.0721985, 0.0673822,
8110  0.0636004, 0.0597657, 0.056409, 0.0536068, 0.0514467,
8111  0.0493858, 0.047673, 0.0466648, 0.045837, 0.0455045,
8112  0.0453264, 0.0460639, 0.0465927, 0.0478873, 0.0496142,
8113  0.0513445, 0.0536106, 0.0566115, 0.0597557, 0.0634044,
8114  0.0676526, 0.0723155, 0.0773549, 0.0830931, 0.0890277,
8115  0.096194, 0.102654, 0.110702, 0.11868, 0.126569,
8116  0.13517, 0.143327, 0.151737, 0.159978, 0.167794,
8117  0.174063, 0.178824, 0.181816, 0.181853, 0.18012,
8118  0.174026, 0.165166, 0.152084, 0.136162, 0.118546,
8119  0.100024, 0.0824857, 0.068183, 0.0590538, 0.0557616,
8120  0.0598728, 0.0634208, 0.0739376, 0.090034, 0.109048,
8121  0.129903, 0.148808, 0.166536, 0.179368, 0.188225,
8122  0.194232, 0.196432, 0.195461, 0.190746, 0.186016,
8123  0.178538, 0.169839, 0.161372, 0.151705, 0.142757,
8124  0.133503, 0.124889, 0.115865, 0.108128, 0.100575,
8125  0.0938699, 0.0871151, 0.0815073, 0.0762311, 0.0714504,
8126  0.0667981, 0.0629564, 0.059607, 0.0567564, 0.0540987,
8127  0.0523249, 0.050731, 0.0496752, 0.0485035, 0.048047,
8128  0.0482182, 0.0487627, 0.0494735, 0.0505408, 0.0522719,
8129  0.0542287, 0.0566245, 0.0596783, 0.0632668, 0.0668758,
8130  0.0711655, 0.0759806, 0.0813707, 0.0873633, 0.0935561,
8131  0.100605, 0.108105, 0.116314, 0.124777, 0.133616,
8132  0.14265, 0.152038, 0.161475, 0.170135, 0.178893,
8133  0.185852, 0.191633, 0.19476, 0.196493, 0.193867,
8134  0.188683, 0.179591, 0.165607, 0.148862, 0.129461,
8135  0.108938, 0.0899032, 0.0738549, 0.0635047, 0.0597943,
8136  0.0642612, 0.0683073, 0.0800289, 0.0976761, 0.118881,
8137  0.140858, 0.161926, 0.179234, 0.194118, 0.203725,
8138  0.209189, 0.209813, 0.208148, 0.20428, 0.197702,
8139  0.188615, 0.17912, 0.170227, 0.1603, 0.150186,
8140  0.140553, 0.130717, 0.121693, 0.113466, 0.105439,
8141  0.0983605, 0.0914982, 0.0854252, 0.0796922, 0.0747273,
8142  0.0702923, 0.0663191, 0.0628134, 0.0597336, 0.0571103,
8143  0.0548838, 0.0533784, 0.0521518, 0.0514071, 0.0509472,
8144  0.0511264, 0.0515276, 0.0520786, 0.0533304, 0.0549361,
8145  0.0574775, 0.0596108, 0.0628516, 0.066297, 0.0702233,
8146  0.074839, 0.0796877, 0.0851083, 0.091571, 0.0983788,
8147  0.105931, 0.113395, 0.121998, 0.130509, 0.140634,
8148  0.149912, 0.160234, 0.169993, 0.179685, 0.188916,
8149  0.197461, 0.204015, 0.207933, 0.210056, 0.208808,
8150  0.204293, 0.193226, 0.179891, 0.161852, 0.140925,
8151  0.11843, 0.0979762, 0.0802223, 0.0685402, 0.0643131,
8152  0.0690127, 0.0736787, 0.0865126, 0.106032, 0.128829,
8153  0.152902, 0.175692, 0.193789, 0.208784, 0.218516,
8154  0.22322, 0.22484, 0.222248, 0.216486, 0.20926,
8155  0.199973, 0.189651, 0.178573, 0.168009, 0.157096,
8156  0.147217, 0.137122, 0.127388, 0.118814, 0.110528,
8157  0.102715, 0.0958767, 0.0891814, 0.0834286, 0.0781876,
8158  0.0734659, 0.069476, 0.0658398, 0.0625034, 0.0602091,
8159  0.0579949, 0.0562176, 0.0548911, 0.0541681, 0.0538612,
8160  0.0538085, 0.0540533, 0.0551454, 0.0562374, 0.0578103,
8161  0.0601859, 0.0627292, 0.0658212, 0.0691881, 0.0735346,
8162  0.0781323, 0.0832391, 0.0890971, 0.0953539, 0.102692,
8163  0.110089, 0.11875, 0.127166, 0.137291, 0.146935,
8164  0.157316, 0.168311, 0.178542, 0.189938, 0.199063,
8165  0.20859, 0.216248, 0.221754, 0.225061, 0.22408,
8166  0.219022, 0.209489, 0.194451, 0.176074, 0.152819,
8167  0.128487, 0.105729, 0.0866716, 0.073469, 0.0692342,
8168  0.073853, 0.0787958, 0.0930181, 0.114268, 0.139728,
8169  0.165562, 0.189222, 0.209595, 0.224376, 0.233937,
8170  0.238934, 0.239012, 0.236376, 0.229154, 0.220707,
8171  0.210408, 0.199119, 0.187782, 0.176178, 0.164373,
8172  0.153611, 0.142439, 0.13303, 0.123707, 0.114702,
8173  0.106869, 0.0993405, 0.0930116, 0.0870137, 0.0816651,
8174  0.0770117, 0.0723975, 0.0686989, 0.0655325, 0.0629156,
8175  0.0606076, 0.0592395, 0.0579587, 0.0566691, 0.0561177,
8176  0.0566149, 0.0569516, 0.0575796, 0.0590442, 0.0605336,
8177  0.0629801, 0.065764, 0.0689238, 0.0725809, 0.07672,
8178  0.08159, 0.0870205, 0.0928499, 0.0995403, 0.106811,
8179  0.114853, 0.123541, 0.132834, 0.143036, 0.153526,
8180  0.164897, 0.175778, 0.187583, 0.199076, 0.210603,
8181  0.220176, 0.228694, 0.235357, 0.23923, 0.239299,
8182  0.234603, 0.22404, 0.209104, 0.189368, 0.165959,
8183  0.138813, 0.113968, 0.0929529, 0.0787577, 0.07393,
8184  0.0787096, 0.0838279, 0.0996021, 0.12321, 0.150214,
8185  0.178473, 0.203539, 0.225458, 0.239305, 0.250097,
8186  0.254604, 0.253421, 0.249625, 0.241127, 0.23176,
8187  0.220251, 0.20868, 0.196391, 0.183704, 0.171515,
8188  0.159954, 0.148925, 0.137712, 0.12838, 0.119773,
8189  0.111199, 0.103287, 0.096462, 0.0903467, 0.0848177,
8190  0.080053, 0.0755898, 0.0717142, 0.0681696, 0.065759,
8191  0.0631566, 0.0616371, 0.0604417, 0.0594496, 0.0589016,
8192  0.0587613, 0.0592944, 0.0603395, 0.0617218, 0.0635882,
8193  0.0657186, 0.0683633, 0.0716189, 0.0752836, 0.0798875,
8194  0.0848101, 0.0901171, 0.0962916, 0.103361, 0.111014,
8195  0.119287, 0.128402, 0.138458, 0.148542, 0.160027,
8196  0.171667, 0.183545, 0.196033, 0.208317, 0.220288,
8197  0.232232, 0.241925, 0.248621, 0.254419, 0.254938,
8198  0.24998, 0.240429, 0.225414, 0.20442, 0.177761,
8199  0.150516, 0.122745, 0.0997656, 0.0842732, 0.0787912,
8200  0.0836536, 0.0899478, 0.106764, 0.132227, 0.162011,
8201  0.191983, 0.219214, 0.24132, 0.256861, 0.266574,
8202  0.269906, 0.268151, 0.263018, 0.254431, 0.243493,
8203  0.230719, 0.218613, 0.204622, 0.191562, 0.178283,
8204  0.166563, 0.154124, 0.143162, 0.132978, 0.123422,
8205  0.115245, 0.106902, 0.0998659, 0.0936266, 0.087779,
8206  0.0826801, 0.0783196, 0.0744211, 0.0710759, 0.0683092,
8207  0.0659512, 0.0644614, 0.0629065, 0.0620012, 0.0615303,
8208  0.0616112, 0.0619555, 0.0630102, 0.0644668, 0.0658978,
8209  0.0682989, 0.0710191, 0.0744581, 0.0786353, 0.0828723,
8210  0.0880809, 0.0934978, 0.0999563, 0.107393, 0.114714,
8211  0.123817, 0.132805, 0.143232, 0.154212, 0.165471,
8212  0.17828, 0.191097, 0.20453, 0.217723, 0.231603,
8213  0.243722, 0.254085, 0.263276, 0.268126, 0.270209,
8214  0.266553, 0.257343, 0.24045, 0.21902, 0.191427,
8215  0.161851, 0.131816, 0.106952, 0.0894979, 0.0836529,
8216  0.0888607, 0.0951008, 0.11392, 0.141814, 0.172864,
8217  0.206402, 0.234092, 0.257271, 0.27346, 0.282793,
8218  0.286002, 0.283611, 0.277368, 0.266801, 0.254537,
8219  0.241188, 0.226322, 0.212501, 0.198745, 0.184663,
8220  0.172172, 0.159677, 0.14821, 0.137588, 0.127913,
8221  0.118801, 0.110811, 0.103353, 0.0968418, 0.091091,
8222  0.085718, 0.0811092, 0.0771978, 0.0738446, 0.0711548,
8223  0.068721, 0.0668949, 0.0656488, 0.0645663, 0.0639531,
8224  0.0639615, 0.0642162, 0.0654795, 0.0666962, 0.0683557,
8225  0.0711057, 0.0738838, 0.0772008, 0.0815381, 0.0859037,
8226  0.0910761, 0.0970424, 0.103523, 0.111075, 0.118961,
8227  0.127674, 0.137527, 0.14807, 0.159346, 0.171918,
8228  0.184615, 0.198337, 0.212555, 0.226638, 0.24148,
8229  0.254462, 0.266546, 0.276735, 0.283189, 0.28513,
8230  0.283645, 0.273972, 0.256462, 0.233881, 0.206101,
8231  0.173692, 0.14156, 0.114193, 0.0953795, 0.0891505,
8232  0.0939286, 0.101112, 0.121852, 0.151112, 0.185361,
8233  0.219766, 0.251068, 0.274301, 0.290605, 0.298513,
8234  0.301239, 0.297297, 0.289855, 0.279135, 0.265652,
8235  0.250679, 0.235896, 0.221399, 0.205842, 0.19105,
8236  0.177585, 0.164551, 0.152768, 0.141733, 0.131971,
8237  0.12264, 0.114114, 0.106857, 0.0998617, 0.0940815,
8238  0.0885827, 0.0839728, 0.0799977, 0.0763452, 0.0735426,
8239  0.0709871, 0.0696018, 0.06795, 0.0671382, 0.0663008,
8240  0.0665414, 0.0669063, 0.0678177, 0.0692151, 0.0708872,
8241  0.073427, 0.0765678, 0.0799923, 0.0840761, 0.0884314,
8242  0.0938905, 0.0999449, 0.10639, 0.114016, 0.122562,
8243  0.132274, 0.142198, 0.152838, 0.164982, 0.177421,
8244  0.191729, 0.205675, 0.220702, 0.236232, 0.250901,
8245  0.265372, 0.279044, 0.289433, 0.296555, 0.301502,
8246  0.299443, 0.290596, 0.273097, 0.250159, 0.220447,
8247  0.185465, 0.151515, 0.12134, 0.101561, 0.0940343,
8248  0.0995533, 0.107409, 0.129251, 0.160947, 0.198388,
8249  0.235542, 0.266452, 0.291971, 0.308069, 0.315392,
8250  0.317873, 0.312489, 0.303548, 0.29093, 0.276247,
8251  0.260355, 0.24436, 0.228828, 0.212779, 0.198017,
8252  0.183735, 0.169515, 0.157348, 0.145947, 0.135557,
8253  0.126099, 0.117537, 0.109712, 0.102673, 0.0970347,
8254  0.0916225, 0.0864337, 0.0824148, 0.0789476, 0.0759841,
8255  0.0736043, 0.0716284, 0.0704654, 0.0693173, 0.0689429,
8256  0.068962, 0.0695495, 0.0701753, 0.0718057, 0.0736653,
8257  0.0761785, 0.0789876, 0.0824209, 0.0867254, 0.0915005,
8258  0.096801, 0.102858, 0.10973, 0.117942, 0.125693,
8259  0.135857, 0.146074, 0.157389, 0.16959, 0.183097,
8260  0.197333, 0.212163, 0.227972, 0.24468, 0.260743,
8261  0.276823, 0.291975, 0.30287, 0.312804, 0.317393,
8262  0.31643, 0.306878, 0.292675, 0.266191, 0.235428,
8263  0.198425, 0.16149, 0.129697, 0.107543, 0.0995128,
8264  0.105193, 0.113519, 0.137827, 0.171806, 0.211808,
8265  0.250363, 0.283641, 0.309836, 0.32527, 0.333428,
8266  0.333287, 0.326956, 0.316964, 0.303376, 0.286883,
8267  0.270262, 0.253143, 0.236655, 0.218898, 0.203378,
8268  0.188502, 0.174149, 0.162012, 0.150094, 0.139399,
8269  0.129632, 0.120632, 0.112624, 0.105883, 0.0994267,
8270  0.0938169, 0.0892416, 0.0849264, 0.0810428, 0.0783169,
8271  0.0758624, 0.0740257, 0.0724513, 0.0716814, 0.0709501,
8272  0.0710839, 0.071646, 0.072799, 0.0739326, 0.0760592,
8273  0.0784473, 0.0813246, 0.0850271, 0.0892409, 0.0941681,
8274  0.0993058, 0.105466, 0.112795, 0.120574, 0.129544,
8275  0.139651, 0.149887, 0.161477, 0.174936, 0.188215,
8276  0.203688, 0.219689, 0.235715, 0.25378, 0.27083,
8277  0.286985, 0.303696, 0.315783, 0.327867, 0.332913,
8278  0.333094, 0.324646, 0.308938, 0.283801, 0.249878,
8279  0.211185, 0.171774, 0.137358, 0.113405, 0.105155,
8280  0.110834, 0.12038, 0.146188, 0.182534, 0.224671,
8281  0.266401, 0.300855, 0.326636, 0.343383, 0.350224,
8282  0.349202, 0.341269, 0.329494, 0.315659, 0.297891,
8283  0.279332, 0.261076, 0.242902, 0.225966, 0.208729,
8284  0.194322, 0.179018, 0.165929, 0.153659, 0.142551,
8285  0.132845, 0.12369, 0.115893, 0.108581, 0.101993,
8286  0.0967552, 0.0918315, 0.0875689, 0.0837379, 0.0805631,
8287  0.078278, 0.0761625, 0.0748131, 0.073941, 0.0731468,
8288  0.0732032, 0.0737519, 0.0750037, 0.0759105, 0.0780999,
8289  0.0805079, 0.0837844, 0.0874747, 0.0914425, 0.0966184,
8290  0.101763, 0.10855, 0.115823, 0.123906, 0.133093,
8291  0.142726, 0.15418, 0.16582, 0.178957, 0.193543,
8292  0.209103, 0.225525, 0.243303, 0.26136, 0.280056,
8293  0.299298, 0.314636, 0.329402, 0.342182, 0.348364,
8294  0.350665, 0.343368, 0.326223, 0.300205, 0.265805,
8295  0.226012, 0.183046, 0.145947, 0.119936, 0.11095,
8296  0.116758, 0.126446, 0.154263, 0.193809, 0.238458,
8297  0.282483, 0.3189, 0.344458, 0.36165, 0.366691,
8298  0.365639, 0.35686, 0.34267, 0.325846, 0.308135,
8299  0.288508, 0.269527, 0.249952, 0.231534, 0.214707,
8300  0.198844, 0.183613, 0.170202, 0.157682, 0.145774,
8301  0.135923, 0.126866, 0.118447, 0.110859, 0.10492,
8302  0.0989946, 0.0934802, 0.0894937, 0.0857668, 0.083029,
8303  0.0807881, 0.0784881, 0.0768839, 0.0761183, 0.0755852,
8304  0.0750895, 0.0757579, 0.0769339, 0.078034, 0.0805128,
8305  0.0828025, 0.0858869, 0.0893495, 0.094006, 0.0989321,
8306  0.104207, 0.111054, 0.118853, 0.126489, 0.135645,
8307  0.146372, 0.157834, 0.169586, 0.184117, 0.198852,
8308  0.214699, 0.232486, 0.250325, 0.269375, 0.288906,
8309  0.307747, 0.326282, 0.34161, 0.356287, 0.365285,
8310  0.36746, 0.361096, 0.344905, 0.318275, 0.282338,
8311  0.239808, 0.194042, 0.154131, 0.126207, 0.11669,
8312  0.122426, 0.133244, 0.163086, 0.205785, 0.254189,
8313  0.299281, 0.335516, 0.363157, 0.378713, 0.384233,
8314  0.380779, 0.370789, 0.355852, 0.338707, 0.317309,
8315  0.297806, 0.27743, 0.256373, 0.237826, 0.219318,
8316  0.202777, 0.188103, 0.173892, 0.161118, 0.149101,
8317  0.138823, 0.129311, 0.12098, 0.113614, 0.107028,
8318  0.10111, 0.0960182, 0.0916435, 0.0879238, 0.084838,
8319  0.0827881, 0.080665, 0.0789468, 0.0781743, 0.0774315,
8320  0.077001, 0.0780206, 0.078927, 0.0803725, 0.0826699,
8321  0.0852867, 0.0878872, 0.0918284, 0.096335, 0.101258,
8322  0.107058, 0.113136, 0.121037, 0.12944, 0.138884,
8323  0.149185, 0.160318, 0.174063, 0.187693, 0.202415,
8324  0.219415, 0.237821, 0.25707, 0.276878, 0.29583,
8325  0.317264, 0.337248, 0.356387, 0.371521, 0.380235,
8326  0.38389, 0.378856, 0.362398, 0.336926, 0.298309,
8327  0.252523, 0.206545, 0.162598, 0.133555, 0.122623,
8328  0.128868, 0.140126, 0.172798, 0.21763, 0.268926,
8329  0.315757, 0.35464, 0.382997, 0.397216, 0.402173,
8330  0.396721, 0.385781, 0.370038, 0.348653, 0.327859,
8331  0.306317, 0.284689, 0.263606, 0.243703, 0.224116,
8332  0.20801, 0.191822, 0.177166, 0.163821, 0.152102,
8333  0.141159, 0.131903, 0.123626, 0.115755, 0.109532,
8334  0.103401, 0.0979514, 0.093815, 0.0896378, 0.0869275,
8335  0.0843224, 0.0826626, 0.0805067, 0.0795889, 0.0793975,
8336  0.0793803, 0.0796633, 0.0804518, 0.0824487, 0.0840353,
8337  0.087321, 0.0898288, 0.0938775, 0.098327, 0.103315,
8338  0.109313, 0.116011, 0.123227, 0.131858, 0.141769,
8339  0.152279, 0.163686, 0.177005, 0.191318, 0.207316,
8340  0.225126, 0.243238, 0.263274, 0.285147, 0.306152,
8341  0.327769, 0.349252, 0.368384, 0.38434, 0.396759,
8342  0.401414, 0.397285, 0.381625, 0.354352, 0.316746,
8343  0.269102, 0.217078, 0.172191, 0.140609, 0.128885,
8344  0.135238, 0.146926, 0.181586, 0.229944, 0.282881,
8345  0.333275, 0.373027, 0.400633, 0.414024, 0.418783,
8346  0.411896, 0.398406, 0.381476, 0.360121, 0.337531,
8347  0.313751, 0.291637, 0.269539, 0.247646, 0.229806,
8348  0.211682, 0.195893, 0.180828, 0.167424, 0.154767,
8349  0.144113, 0.134379, 0.125769, 0.118145, 0.111347,
8350  0.105531, 0.100455, 0.0957467, 0.0919718, 0.0891314,
8351  0.0863708, 0.0841524, 0.0824178, 0.0814196, 0.0811332,
8352  0.0808087, 0.0819168, 0.0827545, 0.0841261, 0.0860677,
8353  0.0886651, 0.0916595, 0.0957909, 0.0999971, 0.105092,
8354  0.110923, 0.117644, 0.125581, 0.134568, 0.144162,
8355  0.154974, 0.166991, 0.18055, 0.195578, 0.212218,
8356  0.229686, 0.248981, 0.269553, 0.29131, 0.314352,
8357  0.33784, 0.358968, 0.38128, 0.399397, 0.412026,
8358  0.419446, 0.415187, 0.401144, 0.373292, 0.333063,
8359  0.283119, 0.230512, 0.181592, 0.147429, 0.134684,
8360  0.140856, 0.153604, 0.190836, 0.242255, 0.299262,
8361  0.35081, 0.392946, 0.419187, 0.434695, 0.435694,
8362  0.426375, 0.413258, 0.393785, 0.370329, 0.346201,
8363  0.321737, 0.298335, 0.276122, 0.253539, 0.234127,
8364  0.215844, 0.198924, 0.183617, 0.170046, 0.157701,
8365  0.146665, 0.136053, 0.127904, 0.119923, 0.113092,
8366  0.107375, 0.102061, 0.097575, 0.0935294, 0.0904046,
8367  0.0877744, 0.0858194, 0.0844082, 0.0834275, 0.0828247,
8368  0.0826748, 0.0834359, 0.0846263, 0.085925, 0.0880119,
8369  0.0907051, 0.0939004, 0.0971499, 0.101899, 0.10747,
8370  0.11336, 0.120285, 0.128018, 0.136686, 0.146383,
8371  0.157929, 0.1699, 0.183533, 0.199313, 0.216057,
8372  0.233782, 0.253991, 0.275351, 0.296752, 0.322328,
8373  0.347562, 0.370342, 0.392393, 0.413418, 0.42652,
8374  0.436006, 0.434634, 0.420053, 0.392423, 0.350568,
8375  0.298961, 0.242961, 0.190717, 0.154282, 0.14156,
8376  0.147966, 0.162011, 0.201509, 0.255334, 0.315044,
8377  0.368188, 0.410875, 0.438035, 0.452589, 0.451914,
8378  0.443697, 0.425158, 0.404568, 0.380301, 0.355933,
8379  0.329341, 0.305326, 0.280072, 0.259215, 0.238234,
8380  0.219543, 0.202597, 0.186737, 0.172762, 0.160099,
8381  0.148468, 0.138686, 0.129735, 0.122048, 0.115086,
8382  0.108951, 0.10352, 0.0993378, 0.0957719, 0.092313,
8383  0.0897095, 0.0874724, 0.0859708, 0.0849089, 0.0844833,
8384  0.0845451, 0.0850221, 0.0861695, 0.0876531, 0.0894449,
8385  0.0919844, 0.0953029, 0.0990618, 0.103887, 0.109102,
8386  0.115078, 0.121761, 0.130184, 0.138565, 0.148986,
8387  0.16048, 0.173176, 0.186911, 0.201989, 0.219583,
8388  0.238621, 0.259477, 0.281634, 0.304448, 0.329012,
8389  0.355374, 0.379933, 0.406223, 0.425276, 0.441333,
8390  0.45225, 0.452917, 0.439362, 0.411058, 0.36901,
8391  0.315046, 0.256549, 0.201454, 0.16164, 0.147954,
8392  0.154667, 0.168774, 0.211073, 0.269261, 0.332345,
8393  0.387104, 0.430733, 0.458164, 0.470812, 0.470785,
8394  0.457405, 0.440132, 0.417208, 0.390536, 0.363611,
8395  0.337004, 0.310425, 0.286135, 0.263548, 0.241721,
8396  0.223256, 0.20577, 0.18927, 0.175217, 0.162533,
8397  0.150856, 0.141266, 0.132124, 0.123845, 0.116779,
8398  0.110782, 0.105235, 0.100836, 0.0966794, 0.0940118,
8399  0.0911546, 0.0894037, 0.0875544, 0.0865531, 0.0860284,
8400  0.0862255, 0.0863956, 0.0876081, 0.0887738, 0.0912614,
8401  0.0940903, 0.096626, 0.100987, 0.105326, 0.11075,
8402  0.116614, 0.123662, 0.131548, 0.140789, 0.151006,
8403  0.162379, 0.175205, 0.189818, 0.205828, 0.222458,
8404  0.241249, 0.264105, 0.286919, 0.31116, 0.336795,
8405  0.36489, 0.390162, 0.417094, 0.439442, 0.459289,
8406  0.469862, 0.470137, 0.459087, 0.431896, 0.38776,
8407  0.332165, 0.268592, 0.210878, 0.169357, 0.154607,
8408  0.161036, 0.176741, 0.221141, 0.282532, 0.348118,
8409  0.407809, 0.451758, 0.477, 0.490197, 0.487932,
8410  0.473485, 0.453184, 0.427663, 0.400175, 0.373114,
8411  0.343716, 0.317484, 0.291845, 0.267716, 0.246464,
8412  0.226152, 0.208285, 0.191865, 0.177197, 0.165181,
8413  0.153059, 0.142714, 0.133356, 0.125594, 0.118801,
8414  0.112198, 0.106787, 0.102406, 0.0984665, 0.0950546,
8415  0.0928297, 0.0906307, 0.0888943, 0.0878907, 0.0873763,
8416  0.087761, 0.0878716, 0.0890117, 0.0903871, 0.0924198,
8417  0.0951336, 0.0982286, 0.102115, 0.106954, 0.112264,
8418  0.118401, 0.125045, 0.133345, 0.14254, 0.152932,
8419  0.164564, 0.177484, 0.192508, 0.208306, 0.225206,
8420  0.246695, 0.268463, 0.291923, 0.31669, 0.344775,
8421  0.372356, 0.401529, 0.428941, 0.453668, 0.472596,
8422  0.486217, 0.488874, 0.479521, 0.450404, 0.407222,
8423  0.348116, 0.283173, 0.221698, 0.17696, 0.16094,
8424  0.168199, 0.184762, 0.23193, 0.29712, 0.365483,
8425  0.425925, 0.470042, 0.498376, 0.507413, 0.504008,
8426  0.488714, 0.466728, 0.440662, 0.408308, 0.379821,
8427  0.3513, 0.321886, 0.296599, 0.272777, 0.250328,
8428  0.22975, 0.211409, 0.194498, 0.179695, 0.166359,
8429  0.154762, 0.144348, 0.135024, 0.127049, 0.119767,
8430  0.113505, 0.108139, 0.103693, 0.0996509, 0.0965985,
8431  0.0937875, 0.0921174, 0.0904908, 0.0885526, 0.0885976,
8432  0.0883349, 0.089178, 0.0903112, 0.0919043, 0.0941364,
8433  0.0964449, 0.0999102, 0.103367, 0.108567, 0.113594,
8434  0.119996, 0.127255, 0.135238, 0.144377, 0.155391,
8435  0.166433, 0.179381, 0.194683, 0.211432, 0.228893,
8436  0.248673, 0.272187, 0.296721, 0.323017, 0.350001,
8437  0.380929, 0.410966, 0.438477, 0.466171, 0.48847,
8438  0.503108, 0.508054, 0.497507, 0.470656, 0.426428,
8439  0.364964, 0.295994, 0.232194, 0.184946, 0.16811,
8440  0.175028, 0.193548, 0.24303, 0.310551, 0.383486,
8441  0.446591, 0.490857, 0.51703, 0.527497, 0.521453,
8442  0.503551, 0.479006, 0.449302, 0.419877, 0.387432,
8443  0.358601, 0.327249, 0.30194, 0.276036, 0.253061,
8444  0.23226, 0.21339, 0.19649, 0.181375, 0.168411,
8445  0.156473, 0.145959, 0.136911, 0.12822, 0.12113,
8446  0.114816, 0.109522, 0.104794, 0.101242, 0.0981131,
8447  0.0951892, 0.0931584, 0.0918585, 0.0900321, 0.0902346,
8448  0.0899745, 0.0905076, 0.0918806, 0.0929803, 0.0952361,
8449  0.0977604, 0.101413, 0.105025, 0.109821, 0.115146,
8450  0.121254, 0.128491, 0.136646, 0.146124, 0.155881,
8451  0.167717, 0.181591, 0.197013, 0.213145, 0.232097,
8452  0.253029, 0.275881, 0.301765, 0.328312, 0.357017,
8453  0.388179, 0.419458, 0.450199, 0.480257, 0.504031,
8454  0.520629, 0.526353, 0.51828, 0.490457, 0.445802,
8455  0.383592, 0.310208, 0.243365, 0.193125, 0.175122,
8456  0.181857, 0.201476, 0.254694, 0.325722, 0.401151,
8457  0.467636, 0.51242, 0.53812, 0.546119, 0.537986,
8458  0.517239, 0.491635, 0.460639, 0.429753, 0.395436,
8459  0.362579, 0.33406, 0.30542, 0.280442, 0.256182,
8460  0.235287, 0.215416, 0.198704, 0.183407, 0.170522,
8461  0.15809, 0.147191, 0.138025, 0.129654, 0.122236,
8462  0.116033, 0.110802, 0.106289, 0.102265, 0.0992257,
8463  0.0962454, 0.0941586, 0.0924118, 0.0914379, 0.0911893,
8464  0.0912492, 0.0916808, 0.0928884, 0.0938489, 0.0964292,
8465  0.0992227, 0.102182, 0.106364, 0.111104, 0.11649,
8466  0.123001, 0.129885, 0.138018, 0.147595, 0.157996,
8467  0.17002, 0.183703, 0.19988, 0.215761, 0.235251,
8468  0.256462, 0.279641, 0.305593, 0.333193, 0.363604,
8469  0.395569, 0.427553, 0.462652, 0.491395, 0.517853,
8470  0.534879, 0.547054, 0.538406, 0.514704, 0.467483,
8471  0.401834, 0.32679, 0.254303, 0.2023, 0.181926,
8472  0.189435, 0.210313, 0.265903, 0.341478, 0.419881,
8473  0.486529, 0.533933, 0.557543, 0.562729, 0.552407,
8474  0.531363, 0.503139, 0.470221, 0.435766, 0.401815,
8475  0.369478, 0.339838, 0.308875, 0.28275, 0.259334,
8476  0.237525, 0.218199, 0.201057, 0.18455, 0.171729,
8477  0.159794, 0.148397, 0.139499, 0.130983, 0.123859,
8478  0.117277, 0.111949, 0.106838, 0.103634, 0.0997168,
8479  0.0973299, 0.0951275, 0.0931138, 0.0927775, 0.0925525,
8480  0.0920946, 0.0923805, 0.0933143, 0.0952586, 0.0969962,
8481  0.0998225, 0.103311, 0.107159, 0.111888, 0.117125,
8482  0.123809, 0.130823, 0.139179, 0.14905, 0.15981,
8483  0.171664, 0.185157, 0.200525, 0.217738, 0.237776,
8484  0.258874, 0.2833, 0.31018, 0.338631, 0.369835,
8485  0.40207, 0.436445, 0.471273, 0.503631, 0.533784,
8486  0.55468, 0.564182, 0.557749, 0.531733, 0.485805,
8487  0.41818, 0.340938, 0.265545, 0.209862, 0.189803,
8488  0.197136, 0.219128, 0.278636, 0.357442, 0.437425,
8489  0.5063, 0.553162, 0.579289, 0.581482, 0.571228,
8490  0.545601, 0.516378, 0.481645, 0.444487, 0.409544,
8491  0.374152, 0.343513, 0.312919, 0.286447, 0.262191,
8492  0.239549, 0.220281, 0.202073, 0.187179, 0.17313,
8493  0.160797, 0.149887, 0.140193, 0.132125, 0.124655,
8494  0.118634, 0.112988, 0.108217, 0.103816, 0.100963,
8495  0.097805, 0.0964578, 0.0946806, 0.0934383, 0.0931588,
8496  0.0929982, 0.0932743, 0.0945582, 0.0960841, 0.098494,
8497  0.10096, 0.104297, 0.108156, 0.113092, 0.118201,
8498  0.124695, 0.132111, 0.140563, 0.149902, 0.160475,
8499  0.172821, 0.187134, 0.202299, 0.219971, 0.240104,
8500  0.261883, 0.285753, 0.313491, 0.343492, 0.374837,
8501  0.408896, 0.4451, 0.480173, 0.516675, 0.547534,
8502  0.56981, 0.582061, 0.578446, 0.554043, 0.507345,
8503  0.439785, 0.356898, 0.277429, 0.218519, 0.196287,
8504  0.203955, 0.227362, 0.289488, 0.373188, 0.458454,
8505  0.527847, 0.574946, 0.59935, 0.600779, 0.586637,
8506  0.559999, 0.526578, 0.48993, 0.453333, 0.415332,
8507  0.38087, 0.347726, 0.317281, 0.289774, 0.264506,
8508  0.242024, 0.222121, 0.204236, 0.188023, 0.174497,
8509  0.161338, 0.150802, 0.141565, 0.132943, 0.12532,
8510  0.119209, 0.113931, 0.109183, 0.10508, 0.101841,
8511  0.0991983, 0.0969844, 0.0953867, 0.0942546, 0.0940659,
8512  0.0935816, 0.0945246, 0.0954943, 0.0971705, 0.0988406,
8513  0.101463, 0.105259, 0.109339, 0.113806, 0.11925,
8514  0.125681, 0.132726, 0.140879, 0.151093, 0.161805,
8515  0.174104, 0.188489, 0.204571, 0.222607, 0.24161,
8516  0.264594, 0.289998, 0.317514, 0.34807, 0.379897,
8517  0.41632, 0.45387, 0.491784, 0.527905, 0.561135,
8518  0.58685, 0.601214, 0.598793, 0.575232, 0.526715,
8519  0.457352, 0.372125, 0.289891, 0.227554, 0.204728,
8520  0.21209, 0.236572, 0.30203, 0.389258, 0.478804,
8521  0.549929, 0.595925, 0.618243, 0.617889, 0.600722,
8522  0.574332, 0.539199, 0.499196, 0.460631, 0.423828,
8523  0.387344, 0.351439, 0.321056, 0.292271, 0.267246,
8524  0.243656, 0.223868, 0.206023, 0.189781, 0.17572,
8525  0.16287, 0.152041, 0.142292, 0.133894, 0.1265,
8526  0.119919, 0.114729, 0.110233, 0.105283, 0.102263,
8527  0.0997309, 0.0979586, 0.0961444, 0.0950214, 0.0950813,
8528  0.0945315, 0.0952731, 0.0956521, 0.0980124, 0.0998442,
8529  0.102593, 0.105962, 0.109721, 0.114881, 0.120091,
8530  0.12623, 0.133968, 0.141957, 0.151879, 0.163063,
8531  0.175325, 0.190039, 0.205228, 0.223513, 0.243832,
8532  0.267697, 0.29197, 0.320029, 0.35109, 0.387035,
8533  0.422005, 0.460353, 0.500352, 0.539081, 0.572037,
8534  0.601348, 0.617652, 0.618461, 0.596955, 0.549132,
8535  0.477668, 0.38956, 0.302035, 0.237569, 0.212403,
8536  0.219875, 0.244579, 0.314776, 0.405742, 0.496455,
8537  0.570714, 0.618506, 0.640988, 0.635459, 0.616211,
8538  0.588357, 0.549204, 0.508466, 0.469805, 0.42806,
8539  0.38964, 0.355796, 0.324392, 0.294299, 0.269033,
8540  0.245777, 0.224894, 0.206915, 0.190988, 0.176545,
8541  0.163927, 0.152644, 0.142915, 0.134266, 0.127074,
8542  0.120761, 0.115071, 0.110796, 0.106444, 0.102971,
8543  0.100499, 0.0983548, 0.0968666, 0.0960285, 0.0954546,
8544  0.0951095, 0.0958054, 0.097058, 0.0985897, 0.100188,
8545  0.103563, 0.106371, 0.110362, 0.115848, 0.12052,
8546  0.12735, 0.134566, 0.14337, 0.152954, 0.163629,
8547  0.176616, 0.190922, 0.206523, 0.225048, 0.245916,
8548  0.268941, 0.295708, 0.324315, 0.355633, 0.391535,
8549  0.428975, 0.467925, 0.508546, 0.550287, 0.586549,
8550  0.618979, 0.637747, 0.63833, 0.614994, 0.570832,
8551  0.496089, 0.405761, 0.31422, 0.246781, 0.221091,
8552  0.228199, 0.255485, 0.328717, 0.423477, 0.517121,
8553  0.591979, 0.639177, 0.658356, 0.656698, 0.633118,
8554  0.60147, 0.560254, 0.517358, 0.476043, 0.434634,
8555  0.395809, 0.359514, 0.326617, 0.297996, 0.271336,
8556  0.247295, 0.227127, 0.208877, 0.191508, 0.177223,
8557  0.164696, 0.153812, 0.143902, 0.135323, 0.127764,
8558  0.121408, 0.116083, 0.11107, 0.107057, 0.103467,
8559  0.101, 0.0988353, 0.0976414, 0.0961802, 0.0953139,
8560  0.0957497, 0.0962569, 0.0975476, 0.0989207, 0.101453,
8561  0.103694, 0.106941, 0.111434, 0.115828, 0.121148,
8562  0.127503, 0.135416, 0.143486, 0.154099, 0.164906,
8563  0.177809, 0.191854, 0.208558, 0.226723, 0.247043,
8564  0.271551, 0.297489, 0.325976, 0.359449, 0.395512,
8565  0.433135, 0.475563, 0.517731, 0.559438, 0.600726,
8566  0.633312, 0.653735, 0.659813, 0.641697, 0.59008,
8567  0.517224, 0.425078, 0.328488, 0.255277, 0.22813,
8568  0.236357, 0.264266, 0.340978, 0.441764, 0.537635,
8569  0.614529, 0.661937, 0.680815, 0.672819, 0.648488,
8570  0.611387, 0.572407, 0.52694, 0.481641, 0.439541,
8571  0.399336, 0.362454, 0.329244, 0.299513, 0.273146,
8572  0.248381, 0.228032, 0.209581, 0.193561, 0.178385,
8573  0.165452, 0.153984, 0.144226, 0.135459, 0.128489,
8574  0.122293, 0.1161, 0.111437, 0.107249, 0.104387,
8575  0.101382, 0.0995319, 0.097588, 0.0971777, 0.0963404,
8576  0.0964174, 0.0967594, 0.0981462, 0.0993904, 0.101571,
8577  0.104016, 0.107436, 0.112034, 0.116263, 0.121975,
8578  0.128362, 0.13602, 0.143909, 0.153819, 0.165736,
8579  0.178135, 0.192434, 0.20957, 0.227493, 0.248975,
8580  0.272826, 0.29991, 0.329075, 0.364107, 0.399512,
8581  0.439671, 0.481237, 0.526269, 0.569924, 0.614179,
8582  0.64797, 0.67121, 0.680129, 0.663432, 0.614903,
8583  0.538997, 0.440464, 0.341144, 0.265278, 0.23644,
8584  0.244079, 0.274663, 0.353762, 0.459277, 0.559946,
8585  0.638521, 0.684018, 0.700685, 0.691534, 0.663958,
8586  0.624809, 0.58163, 0.536312, 0.488996, 0.445573,
8587  0.403733, 0.36576, 0.332786, 0.302636, 0.275545,
8588  0.250764, 0.229475, 0.209921, 0.193095, 0.179005,
8589  0.166233, 0.154717, 0.145205, 0.136374, 0.128869,
8590  0.122503, 0.1168, 0.111874, 0.108171, 0.10512,
8591  0.101402, 0.100151, 0.098327, 0.0971636, 0.0967427,
8592  0.0963198, 0.0973447, 0.098444, 0.0995677, 0.101782,
8593  0.104599, 0.10802, 0.112047, 0.116662, 0.122341,
8594  0.128806, 0.135956, 0.145224, 0.154577, 0.166023,
8595  0.178865, 0.193494, 0.210077, 0.229159, 0.25036,
8596  0.275066, 0.302369, 0.33188, 0.366389, 0.40501,
8597  0.445093, 0.487833, 0.535496, 0.581222, 0.624805,
8598  0.66366, 0.689212, 0.699259, 0.683706, 0.636062,
8599  0.557616, 0.458561, 0.353441, 0.27521, 0.24567,
8600  0.252963, 0.285827, 0.367428, 0.477607, 0.579983,
8601  0.658311, 0.705692, 0.718446, 0.709451, 0.679084,
8602  0.635501, 0.591091, 0.543664, 0.495627, 0.449497,
8603  0.408938, 0.36989, 0.33377, 0.304048, 0.275669,
8604  0.252099, 0.230142, 0.210465, 0.194324, 0.178913,
8605  0.166682, 0.155205, 0.145886, 0.136761, 0.129265,
8606  0.122218, 0.117196, 0.11212, 0.107908, 0.105044,
8607  0.102336, 0.100102, 0.0986046, 0.0975724, 0.0974626,
8608  0.0970729, 0.0973333, 0.0987232, 0.100022, 0.102317,
8609  0.104985, 0.108708, 0.112206, 0.117171, 0.122493,
8610  0.129179, 0.136514, 0.145215, 0.15482, 0.166586,
8611  0.179591, 0.194127, 0.21119, 0.229749, 0.251721,
8612  0.276903, 0.303619, 0.334539, 0.368698, 0.408392,
8613  0.450416, 0.496462, 0.54273, 0.591518, 0.639402,
8614  0.6795, 0.706313, 0.720166, 0.705978, 0.65963,
8615  0.580311, 0.476787, 0.367087, 0.284809, 0.252687,
8616  0.261408, 0.294379, 0.381299, 0.494437, 0.601062,
8617  0.681292, 0.725394, 0.739822, 0.725333, 0.693006,
8618  0.650151, 0.601656, 0.550463, 0.501358, 0.453085,
8619  0.411473, 0.372993, 0.33686, 0.304738, 0.276901,
8620  0.253407, 0.230968, 0.211715, 0.195117, 0.180513,
8621  0.166921, 0.155544, 0.145369, 0.137814, 0.129378,
8622  0.12299, 0.117664, 0.112765, 0.108693, 0.105336,
8623  0.102257, 0.100383, 0.0990263, 0.0977337, 0.0973977,
8624  0.0970519, 0.0978023, 0.0988497, 0.10047, 0.102194,
8625  0.104967, 0.108773, 0.112339, 0.117256, 0.122682,
8626  0.129556, 0.136953, 0.145388, 0.155379, 0.16717,
8627  0.179926, 0.194567, 0.21166, 0.231281, 0.252652,
8628  0.278111, 0.306241, 0.337654, 0.373641, 0.410558,
8629  0.456151, 0.501614, 0.550863, 0.600074, 0.648446,
8630  0.693612, 0.726858, 0.739342, 0.727346, 0.679751,
8631  0.602526, 0.495463, 0.381865, 0.294711, 0.261845,
8632  0.270564, 0.305169, 0.396492, 0.511467, 0.623612,
8633  0.706523, 0.749137, 0.760782, 0.741446, 0.706645,
8634  0.662036, 0.611323, 0.556438, 0.507409, 0.460002,
8635  0.414981, 0.37524, 0.338465, 0.307175, 0.279573,
8636  0.254141, 0.231962, 0.212294, 0.195319, 0.180201,
8637  0.167458, 0.155982, 0.145749, 0.1374, 0.129795,
8638  0.123119, 0.117688, 0.112916, 0.108724, 0.105573,
8639  0.102797, 0.100588, 0.098926, 0.0977119, 0.0971118,
8640  0.0970069, 0.0975487, 0.098913, 0.100805, 0.102499,
8641  0.105483, 0.108949, 0.113063, 0.117741, 0.123232,
8642  0.129742, 0.137213, 0.145882, 0.155555, 0.166755,
8643  0.180475, 0.195033, 0.212654, 0.23162, 0.253919,
8644  0.278335, 0.306895, 0.339556, 0.374157, 0.415191,
8645  0.459483, 0.507184, 0.559396, 0.611033, 0.662257,
8646  0.708414, 0.742491, 0.756664, 0.747643, 0.704864,
8647  0.627009, 0.515222, 0.397548, 0.305039, 0.270873,
8648  0.279368, 0.315956, 0.412651, 0.533575, 0.64845,
8649  0.727319, 0.772073, 0.780404, 0.761762, 0.721375,
8650  0.674634, 0.619726, 0.565905, 0.514235, 0.462438,
8651  0.418466, 0.377195, 0.340904, 0.308225, 0.279342,
8652  0.254192, 0.232699, 0.212559, 0.196043, 0.180776,
8653  0.167024, 0.155989, 0.145894, 0.137453, 0.129692,
8654  0.123111, 0.117564, 0.112895, 0.108881, 0.105581,
8655  0.102568, 0.100494, 0.0991643, 0.0978805, 0.0974832,
8656  0.0972201, 0.0976639, 0.0989226, 0.100342, 0.10271,
8657  0.105577, 0.108621, 0.112907, 0.117826, 0.12311,
8658  0.130204, 0.137482, 0.14618, 0.156021, 0.167683,
8659  0.180363, 0.195481, 0.212823, 0.231712, 0.254742,
8660  0.280093, 0.308795, 0.341317, 0.37744, 0.417429,
8661  0.463456, 0.512896, 0.56377, 0.620687, 0.674249,
8662  0.720936, 0.762018, 0.775886, 0.77327, 0.729096,
8663  0.645781, 0.533685, 0.411149, 0.316728, 0.279738,
8664  0.289361, 0.326023, 0.427179, 0.552613, 0.669086,
8665  0.752916, 0.794863, 0.801754, 0.77727, 0.738026,
8666  0.684476, 0.630346, 0.573306, 0.517731, 0.467388,
8667  0.421601, 0.379691, 0.34298, 0.3112, 0.280629,
8668  0.255636, 0.232728, 0.212955, 0.195736, 0.180816,
8669  0.167927, 0.156112, 0.146674, 0.137546, 0.130069,
8670  0.123101, 0.117865, 0.113127, 0.108624, 0.105531,
8671  0.103022, 0.100727, 0.0993878, 0.0980646, 0.0974683,
8672  0.0970595, 0.0981886, 0.0989493, 0.100373, 0.102669,
8673  0.1056, 0.108936, 0.113014, 0.117865, 0.123486,
8674  0.129809, 0.137256, 0.14613, 0.155682, 0.167552,
8675  0.180984, 0.19552, 0.212602, 0.232747, 0.254933,
8676  0.281403, 0.30982, 0.342533, 0.380492, 0.422703,
8677  0.467731, 0.519516, 0.571976, 0.628721, 0.686569,
8678  0.737435, 0.77918, 0.7991, 0.793327, 0.75141,
8679  0.670776, 0.552933, 0.426901, 0.327158, 0.288488,
8680  0.296534, 0.338106, 0.44096, 0.573383, 0.69336,
8681  0.777198, 0.817639, 0.816461, 0.796274, 0.750045,
8682  0.6959, 0.638403, 0.579137, 0.522196, 0.469946,
8683  0.423828, 0.382506, 0.345844, 0.310818, 0.281829,
8684  0.255724, 0.23261, 0.213127, 0.196168, 0.180474,
8685  0.167721, 0.155986, 0.145807, 0.137655, 0.129759,
8686  0.12315, 0.117695, 0.113109, 0.108929, 0.105188,
8687  0.103034, 0.100624, 0.098648, 0.0976208, 0.0971007,
8688  0.0972067, 0.0980452, 0.0988311, 0.100549, 0.102965,
8689  0.105182, 0.108714, 0.113151, 0.117889, 0.123137,
8690  0.129698, 0.137499, 0.146385, 0.156513, 0.167786,
8691  0.180812, 0.196255, 0.213399, 0.233787, 0.255912,
8692  0.281424, 0.31116, 0.344099, 0.382422, 0.424918,
8693  0.47191, 0.523512, 0.578847, 0.638082, 0.695999,
8694  0.752073, 0.79264, 0.822005, 0.818115, 0.779478,
8695  0.692472, 0.575202, 0.443327, 0.338495, 0.29727,
8696  0.306772, 0.348651, 0.457767, 0.593401, 0.717485,
8697  0.801269, 0.835915, 0.841577, 0.810318, 0.763303,
8698  0.706241, 0.647009, 0.584929, 0.527062, 0.475765,
8699  0.426821, 0.383478, 0.344941, 0.311603, 0.281992,
8700  0.256647, 0.233789, 0.214525, 0.196804, 0.18102,
8701  0.166953, 0.155974, 0.145977, 0.137593, 0.129859,
8702  0.123183, 0.117668, 0.112735, 0.108562, 0.105145,
8703  0.102582, 0.100238, 0.099175, 0.0977401, 0.097575,
8704  0.0971773, 0.0977493, 0.0986591, 0.100542, 0.102501,
8705  0.105182, 0.108582, 0.112657, 0.117328, 0.123734,
8706  0.129686, 0.137246, 0.14623, 0.156197, 0.167819,
8707  0.181162, 0.195935, 0.213964, 0.233837, 0.256473,
8708  0.282725, 0.312089, 0.344961, 0.383497, 0.426893,
8709  0.475002, 0.528457, 0.58616, 0.647935, 0.706771,
8710  0.762327, 0.811252, 0.839873, 0.839152, 0.800293,
8711  0.713958, 0.593089, 0.457611, 0.348806, 0.306551,
8712  0.316769, 0.361357, 0.472646, 0.613961, 0.738812,
8713  0.822493, 0.862091, 0.859548, 0.827705, 0.778368,
8714  0.71689, 0.655481, 0.592845, 0.531302, 0.47861,
8715  0.429631, 0.38641, 0.346778, 0.313026, 0.283583,
8716  0.255562, 0.233763, 0.213591, 0.196695, 0.181409,
8717  0.167254, 0.155621, 0.145607, 0.137, 0.129593,
8718  0.123313, 0.117499, 0.112699, 0.108509, 0.105418,
8719  0.102383, 0.100515, 0.0986034, 0.0980013, 0.0970492,
8720  0.0974671, 0.0976879, 0.0986782, 0.100058, 0.102481,
8721  0.105414, 0.108763, 0.112678, 0.117436, 0.123076,
8722  0.129708, 0.137149, 0.145657, 0.155663, 0.167319,
8723  0.181041, 0.196095, 0.213896, 0.233325, 0.257149,
8724  0.282134, 0.312498, 0.347308, 0.385243, 0.430828,
8725  0.478617, 0.532774, 0.59008, 0.652702, 0.716444,
8726  0.774628, 0.828209, 0.859887, 0.861298, 0.827198,
8727  0.742785, 0.613973, 0.474194, 0.361429, 0.316709,
8728  0.326078, 0.371929, 0.488146, 0.636275, 0.765381,
8729  0.850801, 0.889583, 0.882903, 0.846015, 0.788572,
8730  0.725729, 0.662353, 0.597336, 0.537365, 0.479181,
8731  0.432369, 0.387051, 0.346908, 0.313027, 0.28348,
8732  0.257558, 0.233605, 0.21437, 0.195486, 0.180739,
8733  0.167501, 0.155894, 0.145276, 0.136925, 0.129665,
8734  0.122356, 0.117319, 0.112729, 0.108373, 0.105218,
8735  0.102005, 0.100203, 0.0981527, 0.0974305, 0.0969665,
8736  0.0965165, 0.0976605, 0.0984822, 0.100086, 0.10248,
8737  0.104858, 0.108346, 0.112348, 0.117271, 0.122767,
8738  0.129549, 0.137537, 0.145595, 0.155738, 0.167438,
8739  0.181339, 0.196195, 0.213992, 0.233371, 0.257043,
8740  0.283126, 0.314255, 0.34789, 0.38673, 0.431072,
8741  0.482064, 0.537628, 0.597146, 0.661643, 0.730568,
8742  0.790547, 0.843777, 0.882811, 0.885435, 0.848864,
8743  0.762914, 0.636843, 0.489122, 0.372743, 0.327314,
8744  0.336558, 0.383802, 0.509003, 0.656473, 0.788278,
8745  0.874487, 0.909628, 0.898285, 0.865218, 0.801605,
8746  0.73501, 0.669048, 0.604009, 0.541189, 0.48614,
8747  0.43466, 0.389014, 0.348311, 0.314223, 0.284684,
8748  0.257898, 0.233181, 0.213009, 0.195606, 0.180738,
8749  0.167037, 0.155828, 0.145798, 0.137272, 0.129489,
8750  0.122767, 0.117125, 0.112221, 0.108089, 0.104562,
8751  0.101985, 0.09957, 0.0978847, 0.097434, 0.0968944,
8752  0.096849, 0.0971011, 0.0981992, 0.0997942, 0.101915,
8753  0.104695, 0.108134, 0.111852, 0.116932, 0.122716,
8754  0.128659, 0.13691, 0.145736, 0.155676, 0.167632,
8755  0.180316, 0.195962, 0.213925, 0.233112, 0.257336,
8756  0.284721, 0.313318, 0.351013, 0.389182, 0.435255,
8757  0.484333, 0.540907, 0.603155, 0.66914, 0.73665,
8758  0.805162, 0.862339, 0.899215, 0.907852, 0.876543,
8759  0.788141, 0.657518, 0.506491, 0.384401, 0.335359,
8760  0.346654, 0.39584, 0.524675, 0.680137, 0.812964,
8761  0.899459, 0.93031, 0.918257, 0.877545, 0.816811,
8762  0.745877, 0.678154, 0.610762, 0.544213, 0.488325,
8763  0.437818, 0.391093, 0.350434, 0.315433, 0.285154,
8764  0.25709, 0.234315, 0.213611, 0.195834, 0.180421,
8765  0.167339, 0.155828, 0.14523, 0.136261, 0.128211,
8766  0.122532, 0.116866, 0.111421, 0.108126, 0.104873,
8767  0.101559, 0.0996646, 0.0976616, 0.0966191, 0.0961795,
8768  0.0961676, 0.0967305, 0.097556, 0.0995117, 0.10153,
8769  0.104469, 0.107844, 0.111879, 0.116805, 0.122411,
8770  0.128786, 0.136495, 0.145686, 0.155712, 0.167448,
8771  0.181199, 0.195534, 0.213407, 0.233685, 0.256677,
8772  0.284761, 0.315382, 0.350846, 0.39017, 0.436468,
8773  0.487219, 0.545288, 0.608962, 0.67802, 0.747963,
8774  0.81709, 0.878426, 0.918997, 0.933086, 0.900267,
8775  0.811713, 0.68101, 0.523413, 0.395878, 0.346395,
8776  0.355714, 0.408625, 0.542692, 0.699919, 0.837939,
8777  0.922875, 0.950867, 0.940274, 0.893015, 0.829192,
8778  0.75507, 0.685608, 0.613385, 0.547965, 0.491967,
8779  0.439438, 0.391272, 0.350945, 0.315704, 0.284868,
8780  0.257018, 0.233956, 0.213219, 0.195574, 0.179858,
8781  0.167026, 0.155321, 0.143988, 0.136722, 0.12829,
8782  0.121885, 0.115741, 0.111476, 0.107096, 0.104183,
8783  0.101279, 0.0990465, 0.0974912, 0.0965684, 0.0956315,
8784  0.0959709, 0.0965238, 0.0977626, 0.0989062, 0.10103,
8785  0.103783, 0.107528, 0.111241, 0.116407, 0.122007,
8786  0.128416, 0.136728, 0.145104, 0.155559, 0.166858,
8787  0.180533, 0.195567, 0.21293, 0.233676, 0.257469,
8788  0.284739, 0.314474, 0.35188, 0.392625, 0.438851,
8789  0.493545, 0.54848, 0.61427, 0.681948, 0.75925,
8790  0.826596, 0.895066, 0.937673, 0.952216, 0.924232,
8791  0.83993, 0.700014, 0.542688, 0.410005, 0.356568,
8792  0.367, 0.422619, 0.557578, 0.727026, 0.862011,
8793  0.948396, 0.976399, 0.96239, 0.91094, 0.839575,
8794  0.76696, 0.691339, 0.619978, 0.553887, 0.493042,
8795  0.439648, 0.393697, 0.350341, 0.316005, 0.284896,
8796  0.257894, 0.23379, 0.213336, 0.194849, 0.179627,
8797  0.166447, 0.155052, 0.144331, 0.13577, 0.128208,
8798  0.121908, 0.116084, 0.111071, 0.106796, 0.103508,
8799  0.100325, 0.0987964, 0.0967247, 0.0957394, 0.0955488,
8800  0.0954481, 0.0953745, 0.0971751, 0.0988883, 0.100882,
8801  0.103533, 0.106605, 0.111063, 0.116108, 0.122136,
8802  0.128337, 0.136196, 0.144951, 0.154943, 0.166624,
8803  0.179834, 0.19622, 0.213132, 0.234169, 0.257468,
8804  0.285286, 0.316465, 0.351393, 0.392991, 0.438996,
8805  0.492485, 0.554638, 0.619097, 0.69156, 0.765743,
8806  0.840631, 0.90495, 0.960441, 0.975693, 0.946874,
8807  0.864818, 0.722732, 0.559671, 0.422657, 0.367377,
8808  0.378837, 0.434191, 0.576746, 0.745073, 0.890129,
8809  0.97392, 1.00138, 0.97768, 0.925128, 0.854515,
8810  0.775604, 0.699221, 0.626605, 0.557837, 0.496424,
8811  0.442157, 0.394326, 0.353455, 0.316179, 0.28521,
8812  0.257467, 0.233621, 0.212726, 0.195187, 0.179827,
8813  0.165764, 0.15484, 0.144138, 0.135457, 0.127866,
8814  0.120991, 0.115261, 0.110436, 0.106568, 0.102894,
8815  0.100196, 0.0981382, 0.0965188, 0.0953753, 0.095079,
8816  0.094732, 0.0955938, 0.0966134, 0.0979899, 0.100914,
8817  0.102813, 0.106301, 0.110675, 0.115046, 0.121135,
8818  0.127565, 0.135384, 0.144097, 0.154338, 0.165832,
8819  0.17916, 0.194722, 0.212901, 0.233071, 0.257578,
8820  0.284971, 0.315944, 0.351725, 0.393685, 0.442912,
8821  0.497698, 0.556701, 0.623726, 0.70059, 0.776355,
8822  0.851952, 0.925834, 0.979575, 1.00095, 0.974767,
8823  0.891063, 0.747235, 0.576994, 0.432945, 0.375883,
8824  0.38776, 0.448681, 0.595556, 0.771428, 0.918928,
8825  1.00057, 1.02363, 1.00112, 0.941326, 0.864471,
8826  0.785575, 0.70663, 0.629961, 0.559091, 0.49944,
8827  0.443987, 0.395153, 0.35285, 0.316016, 0.284212,
8828  0.257276, 0.232604, 0.212495, 0.19471, 0.178669,
8829  0.165772, 0.153697, 0.143674, 0.134707, 0.127613,
8830  0.120491, 0.115013, 0.109898, 0.106242, 0.102387,
8831  0.0999086, 0.0975804, 0.0960186, 0.0946363, 0.0947046,
8832  0.0945887, 0.0948281, 0.0958428, 0.0974424, 0.0998034,
8833  0.102548, 0.105999, 0.109923, 0.114954, 0.119889,
8834  0.126947, 0.134817, 0.143481, 0.153917, 0.165253,
8835  0.179287, 0.195008, 0.21293, 0.233314, 0.257448,
8836  0.284578, 0.316223, 0.35328, 0.394356, 0.442424,
8837  0.499124, 0.560723, 0.626674, 0.703476, 0.78686,
8838  0.86775, 0.939366, 0.997283, 1.02336, 1.00133,
8839  0.914475, 0.772298, 0.595826, 0.446832, 0.389453,
8840  0.400259, 0.46033, 0.61382, 0.793594, 0.94395,
8841  1.02664, 1.04718, 1.01604, 0.954161, 0.874968,
8842  0.791344, 0.714343, 0.634582, 0.563141, 0.502136,
8843  0.444468, 0.395752, 0.353049, 0.316583, 0.284692,
8844  0.257045, 0.232845, 0.211905, 0.194554, 0.179085,
8845  0.165257, 0.152939, 0.143008, 0.134293, 0.126586,
8846  0.119916, 0.114449, 0.109861, 0.105462, 0.102331,
8847  0.0991872, 0.0973703, 0.0951404, 0.0947347, 0.0940705,
8848  0.0941822, 0.0943637, 0.0955137, 0.0969806, 0.0991106,
8849  0.101673, 0.105406, 0.109551, 0.114543, 0.120127,
8850  0.126249, 0.134468, 0.143441, 0.153547, 0.165293,
8851  0.178466, 0.194034, 0.212276, 0.233257, 0.257766,
8852  0.283836, 0.31614, 0.353402, 0.395649, 0.445284,
8853  0.500172, 0.564163, 0.63337, 0.712544, 0.793376,
8854  0.87639, 0.954733, 1.01743, 1.04388, 1.02809,
8855  0.943004, 0.797731, 0.613328, 0.461062, 0.399432,
8856  0.409754, 0.47268, 0.634933, 0.819385, 0.969989,
8857  1.05069, 1.06936, 1.031, 0.967625, 0.889053,
8858  0.798333, 0.719155, 0.637667, 0.565665, 0.5019,
8859  0.445356, 0.397281, 0.354465, 0.316934, 0.285067,
8860  0.256389, 0.232735, 0.211733, 0.193748, 0.178524,
8861  0.164563, 0.152658, 0.142312, 0.133659, 0.12607,
8862  0.11945, 0.113706, 0.108997, 0.105086, 0.101496,
8863  0.0988902, 0.0965848, 0.0948563, 0.0937879, 0.0932587,
8864  0.0929921, 0.0936369, 0.094949, 0.0965638, 0.0990881,
8865  0.101582, 0.104838, 0.109153, 0.113837, 0.119793,
8866  0.125866, 0.133708, 0.142663, 0.152732, 0.165222,
8867  0.177931, 0.193055, 0.211763, 0.232315, 0.256494,
8868  0.283619, 0.315938, 0.354107, 0.396698, 0.445756,
8869  0.500744, 0.567209, 0.639817, 0.719762, 0.802364,
8870  0.88847, 0.967785, 1.03067, 1.06919, 1.05096,
8871  0.970485, 0.82014, 0.634327, 0.474381, 0.41044,
8872  0.421894, 0.489027, 0.653952, 0.844239, 0.993115,
8873  1.07875, 1.08851, 1.05497, 0.981287, 0.89851,
8874  0.80904, 0.724848, 0.641724, 0.569928, 0.504984,
8875  0.446854, 0.397388, 0.354125, 0.316273, 0.283673,
8876  0.256298, 0.23169, 0.2108, 0.193065, 0.177912,
8877  0.164146, 0.152184, 0.141965, 0.133267, 0.125847,
8878  0.119373, 0.113556, 0.108452, 0.103949, 0.10054,
8879  0.0979849, 0.0962622, 0.0939435, 0.0928328, 0.092429,
8880  0.0926558, 0.0933037, 0.0941399, 0.0958172, 0.098152,
8881  0.100864, 0.104374, 0.108241, 0.113469, 0.118919,
8882  0.125174, 0.133475, 0.142018, 0.152274, 0.164084,
8883  0.177085, 0.193428, 0.210941, 0.232561, 0.256328,
8884  0.285414, 0.316769, 0.353704, 0.397861, 0.446923,
8885  0.503619, 0.568883, 0.642506, 0.725397, 0.80835,
8886  0.896359, 0.985035, 1.05224, 1.09011, 1.08011,
8887  0.998347, 0.845005, 0.653846, 0.487216, 0.420952,
8888  0.431972, 0.500565, 0.671092, 0.869664, 1.01954,
8889  1.10471, 1.10822, 1.07154, 0.996905, 0.913064,
8890  0.82189, 0.726633, 0.646879, 0.573478, 0.50598,
8891  0.448094, 0.398055, 0.354429, 0.316962, 0.282296,
8892  0.256174, 0.231981, 0.210378, 0.192533, 0.176814,
8893  0.163588, 0.151965, 0.14143, 0.132426, 0.125315,
8894  0.11804, 0.112582, 0.10786, 0.103675, 0.100314,
8895  0.0974298, 0.0951946, 0.0932472, 0.0922421, 0.0920782,
8896  0.0916892, 0.0923588, 0.0931698, 0.0955187, 0.0975213,
8897  0.100509, 0.103824, 0.107463, 0.112948, 0.118127,
8898  0.125024, 0.132441, 0.141387, 0.151617, 0.163869,
8899  0.176905, 0.192973, 0.211632, 0.231594, 0.255739,
8900  0.284465, 0.316592, 0.353374, 0.398303, 0.449264,
8901  0.506769, 0.572719, 0.647806, 0.72974, 0.818398,
8902  0.90935, 1.00056, 1.07063, 1.11282, 1.10048,
8903  1.02241, 0.870007, 0.672915, 0.501903, 0.43217,
8904  0.442336, 0.516374, 0.695255, 0.894064, 1.05441,
8905  1.12995, 1.13369, 1.09269, 1.0111, 0.924724,
8906  0.827976, 0.735178, 0.651085, 0.576048, 0.508836,
8907  0.449421, 0.39677, 0.355503, 0.316964, 0.283425,
8908  0.255603, 0.231267, 0.210231, 0.192161, 0.176974,
8909  0.162762, 0.150998, 0.141064, 0.131728, 0.124232,
8910  0.117975, 0.111701, 0.107033, 0.102909, 0.099448,
8911  0.0967163, 0.0946371, 0.0929231, 0.0920076, 0.0909621,
8912  0.0911276, 0.0919016, 0.0929944, 0.0948853, 0.0969669,
8913  0.0991571, 0.103103, 0.107007, 0.111908, 0.117576,
8914  0.124237, 0.131722, 0.140558, 0.151169, 0.163288,
8915  0.176492, 0.191922, 0.210676, 0.231361, 0.255526,
8916  0.284535, 0.316676, 0.354369, 0.398395, 0.449832,
8917  0.509057, 0.575568, 0.652637, 0.734987, 0.827961,
8918  0.92501, 1.01379, 1.08743, 1.13604, 1.12539,
8919  1.05314, 0.894365, 0.690771, 0.514658, 0.444231,
8920  0.45625, 0.530944, 0.71506, 0.921346, 1.07964,
8921  1.1512, 1.1608, 1.10913, 1.02916, 0.933723,
8922  0.834969, 0.743647, 0.655485, 0.578359, 0.510769,
8923  0.450687, 0.398646, 0.353645, 0.315844, 0.283032,
8924  0.254542, 0.230442, 0.209735, 0.191756, 0.176036,
8925  0.162513, 0.15044, 0.14006, 0.131747, 0.123445,
8926  0.116698, 0.111551, 0.106627, 0.101848, 0.0986625,
8927  0.095884, 0.0939793, 0.0917922, 0.0911016, 0.0906582,
8928  0.0906483, 0.0909255, 0.0924999, 0.0939973, 0.0957761,
8929  0.0987407, 0.102082, 0.106445, 0.111085, 0.116932,
8930  0.123648, 0.130895, 0.139895, 0.150513, 0.162065,
8931  0.176028, 0.191107, 0.210409, 0.22999, 0.255643,
8932  0.282669, 0.315141, 0.354939, 0.397495, 0.450206,
8933  0.508691, 0.576273, 0.656465, 0.743669, 0.834809,
8934  0.932324, 1.02787, 1.10775, 1.16, 1.1562,
8935  1.07913, 0.922688, 0.713199, 0.531054, 0.454671,
8936  0.467533, 0.545509, 0.735536, 0.945982, 1.10752,
8937  1.18591, 1.18206, 1.1258, 1.04444, 0.946295,
8938  0.843087, 0.745153, 0.655908, 0.579575, 0.511104,
8939  0.450984, 0.398757, 0.355037, 0.316283, 0.283729,
8940  0.253999, 0.229834, 0.20915, 0.190672, 0.175037,
8941  0.161617, 0.149648, 0.139553, 0.130516, 0.122325,
8942  0.116588, 0.110115, 0.105943, 0.101476, 0.0979064,
8943  0.0952247, 0.0929716, 0.0913891, 0.0909064, 0.0897366,
8944  0.089981, 0.0905312, 0.0912854, 0.0930341, 0.0952933,
8945  0.0978416, 0.101133, 0.10552, 0.110576, 0.11627,
8946  0.122838, 0.130298, 0.138839, 0.149386, 0.161474,
8947  0.174977, 0.190232, 0.209325, 0.230279, 0.255597,
8948  0.282583, 0.317331, 0.353957, 0.399756, 0.44854,
8949  0.510647, 0.580761, 0.658749, 0.746808, 0.842927,
8950  0.943084, 1.04183, 1.12684, 1.18178, 1.17755,
8951  1.10519, 0.946935, 0.735685, 0.544163, 0.466358,
8952  0.479185, 0.558256, 0.756047, 0.974332, 1.13774,
8953  1.20549, 1.20387, 1.14763, 1.05494, 0.956144,
8954  0.851357, 0.75144, 0.659371, 0.581821, 0.511181,
8955  0.45074, 0.397575, 0.354664, 0.315896, 0.281797,
8956  0.253926, 0.228759, 0.207799, 0.190201, 0.174294,
8957  0.161161, 0.148848, 0.138839, 0.129594, 0.121973,
8958  0.115163, 0.109508, 0.104984, 0.100706, 0.097638,
8959  0.0945097, 0.0924903, 0.0903524, 0.0896279, 0.0893358,
8960  0.0887578, 0.0895345, 0.0907146, 0.0926616, 0.0945368,
8961  0.0972833, 0.100797, 0.104967, 0.10985, 0.115815,
8962  0.121899, 0.129754, 0.139214, 0.149361, 0.161542,
8963  0.174473, 0.190788, 0.20818, 0.230672, 0.253504,
8964  0.282471, 0.315522, 0.353572, 0.398242, 0.450652,
8965  0.511608, 0.583079, 0.661769, 0.749122, 0.850114,
8966  0.955282, 1.05288, 1.14877, 1.20556, 1.20953,
8967  1.13617, 0.974252, 0.759578, 0.559808, 0.476783,
8968  0.491616, 0.574363, 0.776332, 0.999403, 1.16286,
8969  1.23362, 1.22839, 1.16645, 1.07128, 0.960521,
8970  0.857702, 0.757995, 0.665536, 0.585367, 0.514155,
8971  0.452006, 0.398131, 0.353945, 0.316136, 0.282169,
8972  0.253487, 0.228852, 0.20744, 0.189373, 0.174322,
8973  0.160004, 0.14806, 0.138166, 0.129025, 0.121478,
8974  0.114347, 0.108941, 0.104159, 0.0993958, 0.096345,
8975  0.0938062, 0.0914608, 0.0900306, 0.0886952, 0.0882041,
8976  0.088325, 0.0889709, 0.0899314, 0.0916431, 0.0937105,
8977  0.0967255, 0.100063, 0.104273, 0.108681, 0.114434,
8978  0.121402, 0.128577, 0.138051, 0.148563, 0.160097,
8979  0.173826, 0.190124, 0.207524, 0.229085, 0.253498,
8980  0.281573, 0.315052, 0.354216, 0.399512, 0.451907,
8981  0.513217, 0.584155, 0.663466, 0.757663, 0.858213,
8982  0.964144, 1.06808, 1.16155, 1.22525, 1.23794,
8983  1.16382, 1.00305, 0.775325, 0.575244, 0.491738,
8984  0.502437, 0.59058, 0.80382, 1.02874, 1.19222,
8985  1.25829, 1.25321, 1.18389, 1.08131, 0.9763,
8986  0.862629, 0.763204, 0.667313, 0.586969, 0.514117,
8987  0.452936, 0.399092, 0.353795, 0.315312, 0.282978,
8988  0.252367, 0.228626, 0.20795, 0.188647, 0.173535,
8989  0.159145, 0.1474, 0.137579, 0.128389, 0.120396,
8990  0.114145, 0.107901, 0.103274, 0.0989908, 0.0957932,
8991  0.0931119, 0.0905373, 0.0890403, 0.088052, 0.087676,
8992  0.0874888, 0.0882746, 0.0886948, 0.0909991, 0.092628,
8993  0.095471, 0.0994259, 0.103155, 0.108343, 0.11364,
8994  0.120309, 0.128021, 0.136653, 0.147698, 0.159077,
8995  0.172978, 0.188723, 0.207399, 0.228465, 0.252529,
8996  0.28163, 0.315531, 0.35402, 0.399073, 0.451354,
8997  0.512996, 0.588536, 0.666627, 0.761366, 0.864379,
8998  0.974092, 1.08595, 1.18388, 1.25253, 1.26338,
8999  1.19589, 1.02884, 0.799687, 0.588948, 0.503242,
9000  0.51563, 0.607742, 0.826622, 1.05716, 1.22399,
9001  1.29139, 1.27417, 1.20165, 1.0957, 0.98674,
9002  0.874129, 0.767985, 0.672667, 0.590023, 0.515798,
9003  0.454042, 0.398932, 0.353937, 0.314929, 0.281271,
9004  0.252057, 0.227257, 0.206563, 0.18764, 0.172103,
9005  0.158527, 0.147035, 0.136414, 0.127815, 0.119773,
9006  0.113149, 0.107747, 0.102486, 0.0981398, 0.0947225,
9007  0.09213, 0.0900405, 0.0879666, 0.0871044, 0.0866854,
9008  0.0867071, 0.0872691, 0.0880756, 0.0900786, 0.091889,
9009  0.0947259, 0.0985256, 0.102583, 0.107452, 0.113259,
9010  0.11999, 0.127363, 0.13668, 0.146784, 0.158348,
9011  0.172525, 0.187909, 0.206047, 0.228293, 0.252186,
9012  0.281085, 0.313815, 0.354306, 0.399836, 0.453321,
9013  0.515745, 0.58857, 0.672602, 0.764775, 0.870434,
9014  0.984219, 1.09818, 1.20152, 1.27044, 1.29251,
9015  1.218, 1.05675, 0.823545, 0.60759, 0.514521,
9016  0.528454, 0.622586, 0.848063, 1.0845, 1.25504,
9017  1.319, 1.29663, 1.22056, 1.10961, 0.995624,
9018  0.878846, 0.771123, 0.672209, 0.588612, 0.516145,
9019  0.453672, 0.400263, 0.353118, 0.314356, 0.280433,
9020  0.252209, 0.226521, 0.20562, 0.187182, 0.171802,
9021  0.157896, 0.145634, 0.135663, 0.126695, 0.119323,
9022  0.112453, 0.10658, 0.101943, 0.0974412, 0.0939042,
9023  0.0912545, 0.0894056, 0.0876566, 0.0863315, 0.0857664,
9024  0.0860131, 0.0863285, 0.08735, 0.0890071, 0.0913163,
9025  0.093905, 0.0974729, 0.101358, 0.106468, 0.112034,
9026  0.118882, 0.126308, 0.135742, 0.145551, 0.15774,
9027  0.171125, 0.188085, 0.206253, 0.227187, 0.252006,
9028  0.280763, 0.31431, 0.352081, 0.400614, 0.453337,
9029  0.516713, 0.58952, 0.672442, 0.769861, 0.87875,
9030  0.995338, 1.10993, 1.21574, 1.299, 1.32126,
9031  1.25355, 1.08392, 0.841806, 0.623177, 0.527607,
9032  0.541021, 0.638693, 0.869965, 1.11252, 1.28218,
9033  1.34681, 1.32307, 1.23479, 1.12584, 1.00267,
9034  0.883974, 0.77682, 0.677246, 0.593375, 0.515505,
9035  0.452891, 0.399306, 0.3541, 0.313847, 0.280088,
9036  0.250826, 0.225863, 0.204787, 0.186485, 0.170178,
9037  0.156746, 0.145237, 0.134486, 0.125812, 0.118023,
9038  0.11141, 0.105982, 0.101066, 0.0966847, 0.0934387,
9039  0.0901865, 0.0879555, 0.0863479, 0.0855186, 0.084759,
9040  0.085095, 0.0855781, 0.0864227, 0.0884706, 0.0903817,
9041  0.0929071, 0.0966672, 0.100878, 0.105655, 0.111426,
9042  0.118213, 0.126301, 0.134942, 0.145439, 0.156643,
9043  0.171047, 0.186531, 0.204892, 0.225871, 0.249723,
9044  0.280329, 0.31357, 0.35335, 0.399748, 0.454732,
9045  0.517373, 0.59204, 0.67823, 0.775974, 0.887482,
9046  1.00295, 1.12333, 1.23611, 1.31886, 1.34509,
9047  1.28036, 1.11647, 0.869603, 0.63687, 0.543656,
9048  0.555423, 0.656484, 0.893381, 1.14573, 1.31191,
9049  1.37017, 1.34292, 1.25576, 1.13788, 1.00917,
9050  0.891566, 0.782418, 0.679725, 0.593287, 0.518795,
9051  0.453855, 0.400503, 0.353049, 0.313599, 0.278703,
9052  0.250065, 0.225133, 0.203917, 0.186006, 0.170417,
9053  0.156342, 0.144204, 0.134287, 0.124717, 0.11759,
9054  0.110857, 0.105097, 0.099949, 0.0956514, 0.0922795,
9055  0.0894552, 0.0874457, 0.0858053, 0.0847403, 0.0844166,
9056  0.0842145, 0.0844479, 0.0861397, 0.0875414, 0.089581,
9057  0.0921643, 0.0953936, 0.100026, 0.104466, 0.110661,
9058  0.117541, 0.124793, 0.134034, 0.144758, 0.156275,
9059  0.169932, 0.18586, 0.204661, 0.225654, 0.250293,
9060  0.279698, 0.313258, 0.351809, 0.399432, 0.45442,
9061  0.518547, 0.592654, 0.679908, 0.780927, 0.892127,
9062  1.00922, 1.13647, 1.25466, 1.34377, 1.37061,
9063  1.31285, 1.1428, 0.894025, 0.652477, 0.552796,
9064  0.568079, 0.667969, 0.916355, 1.17408, 1.34658,
9065  1.39756, 1.36659, 1.27326, 1.15406, 1.0267,
9066  0.89642, 0.785499, 0.683919, 0.595979, 0.518311,
9067  0.454122, 0.399664, 0.35213, 0.312802, 0.279464,
9068  0.249366, 0.224444, 0.203015, 0.185127, 0.169142,
9069  0.15448, 0.1437, 0.133288, 0.124131, 0.116346,
9070  0.109613, 0.104126, 0.0992066, 0.0947271, 0.0914868,
9071  0.088606, 0.0864116, 0.0849123, 0.0838546, 0.0832075,
9072  0.0833009, 0.0840052, 0.0848841, 0.0866362, 0.0886567,
9073  0.0910997, 0.0943286, 0.099048, 0.104123, 0.109924,
9074  0.116667, 0.124746, 0.133266, 0.143569, 0.155589,
9075  0.168925, 0.184887, 0.203186, 0.224502, 0.250013,
9076  0.278922, 0.311647, 0.351467, 0.399897, 0.453596,
9077  0.519379, 0.593519, 0.683301, 0.78257, 0.899215,
9078  1.02085, 1.14635, 1.26931, 1.36956, 1.40145,
9079  1.34415, 1.17293, 0.91905, 0.672011, 0.566603,
9080  0.581516, 0.689158, 0.938764, 1.19934, 1.3739,
9081  1.42623, 1.38703, 1.28591, 1.15957, 1.02822,
9082  0.905198, 0.787847, 0.686565, 0.596852, 0.519726,
9083  0.455167, 0.399359, 0.351781, 0.312329, 0.277489,
9084  0.250135, 0.224135, 0.202689, 0.184461, 0.168499,
9085  0.154181, 0.14241, 0.131971, 0.122808, 0.115409,
9086  0.108994, 0.10304, 0.0979628, 0.0937925, 0.0910635,
9087  0.0878522, 0.0855655, 0.0839289, 0.0828094, 0.0822992,
9088  0.0822405, 0.0825383, 0.0842183, 0.0852963, 0.0876901,
9089  0.0905499, 0.0946451, 0.0984665, 0.103065, 0.108807,
9090  0.11551, 0.123563, 0.132259, 0.142378, 0.154529,
9091  0.167914, 0.183971, 0.201961, 0.224246, 0.249261,
9092  0.278335, 0.310682, 0.35265, 0.399054, 0.454473,
9093  0.520492, 0.597386, 0.685932, 0.786814, 0.906875,
9094  1.0293, 1.15666, 1.29151, 1.38598, 1.43142,
9095  1.3678, 1.20717, 0.940701, 0.689707, 0.580929,
9096  0.594015, 0.705451, 0.967777, 1.24224, 1.4001,
9097  1.45675, 1.40954, 1.30551, 1.17721, 1.03265,
9098  0.911451, 0.79131, 0.69007, 0.598065, 0.519352,
9099  0.456155, 0.399252, 0.351731, 0.311759, 0.276403,
9100  0.247955, 0.223362, 0.201445, 0.18304, 0.167237,
9101  0.153867, 0.141721, 0.131759, 0.122835, 0.114765,
9102  0.108419, 0.102484, 0.0970572, 0.0933216, 0.0898563,
9103  0.0867994, 0.0843121, 0.0832845, 0.0814615, 0.0815305,
9104  0.0812438, 0.0821547, 0.0834286, 0.0842134, 0.08691,
9105  0.0895505, 0.0931874, 0.0975731, 0.102383, 0.108322,
9106  0.114695, 0.122886, 0.131457, 0.14108, 0.153091,
9107  0.167641, 0.183136, 0.201905, 0.222739, 0.247226,
9108  0.27636, 0.31085, 0.351334, 0.398799, 0.455495,
9109  0.52127, 0.597214, 0.688952, 0.792465, 0.912629,
9110  1.03954, 1.17676, 1.30826, 1.40844, 1.45495,
9111  1.40679, 1.23163, 0.964266, 0.706389, 0.595723,
9112  0.608108, 0.721401, 0.996059, 1.2645, 1.43537,
9113  1.48214, 1.43105, 1.32549, 1.18453, 1.04918,
9114  0.916511, 0.792564, 0.690264, 0.599136, 0.522208,
9115  0.454503, 0.398627, 0.3515, 0.311608, 0.276228,
9116  0.247642, 0.222017, 0.201082, 0.182946, 0.16664,
9117  0.152717, 0.140697, 0.130154, 0.121441, 0.114178,
9118  0.107054, 0.101185, 0.096539, 0.0920011, 0.0885458,
9119  0.0860902, 0.0837051, 0.0821684, 0.080986, 0.0805914,
9120  0.0806478, 0.080779, 0.0823335, 0.0836624, 0.0863292,
9121  0.0890373, 0.0923569, 0.0959911, 0.101387, 0.107211,
9122  0.114341, 0.121342, 0.130612, 0.140739, 0.152943,
9123  0.166366, 0.182591, 0.200688, 0.221801, 0.246175,
9124  0.27559, 0.310965, 0.351115, 0.397388, 0.454728,
9125  0.521907, 0.600005, 0.690016, 0.795893, 0.914311,
9126  1.0461, 1.19017, 1.32259, 1.43323, 1.48218,
9127  1.43783, 1.26446, 0.988665, 0.724269, 0.608276,
9128  0.622971, 0.736699, 1.01855, 1.29503, 1.46692,
9129  1.51236, 1.45555, 1.34063, 1.19746, 1.0556,
9130  0.919592, 0.799134, 0.689166, 0.60137, 0.521808,
9131  0.453577, 0.399321, 0.351387, 0.309733, 0.276376,
9132  0.246349, 0.221808, 0.200179, 0.181594, 0.165349,
9133  0.151761, 0.139516, 0.129395, 0.121056, 0.113235,
9134  0.106158, 0.100677, 0.0956979, 0.0915119, 0.0876093,
9135  0.0851544, 0.0828742, 0.0812712, 0.0806569, 0.0796873,
9136  0.0797113, 0.08022, 0.0813715, 0.0828167, 0.0849119,
9137  0.0875757, 0.0914006, 0.0957394, 0.100616, 0.105961,
9138  0.112754, 0.120699, 0.129642, 0.139957, 0.151607,
9139  0.165354, 0.18096, 0.200286, 0.221485, 0.246469,
9140  0.275718, 0.310831, 0.351733, 0.396942, 0.454275,
9141  0.521201, 0.599014, 0.694031, 0.799595, 0.921929,
9142  1.05546, 1.19998, 1.33938, 1.45198, 1.51276,
9143  1.47064, 1.29492, 1.01433, 0.741122, 0.623414,
9144  0.638784, 0.756676, 1.04376, 1.32654, 1.50008,
9145  1.53158, 1.47554, 1.35121, 1.20725, 1.06639,
9146  0.927401, 0.805315, 0.693131, 0.602873, 0.523317,
9147  0.454923, 0.39881, 0.349971, 0.309373, 0.275375,
9148  0.246382, 0.219892, 0.198396, 0.180932, 0.16454,
9149  0.151115, 0.139045, 0.129036, 0.119908, 0.11206,
9150  0.105487, 0.0994015, 0.0943305, 0.0907036, 0.0871311,
9151  0.0841318, 0.0824472, 0.0806085, 0.0794581, 0.079057,
9152  0.0787992, 0.0793456, 0.0803428, 0.0822851, 0.0844021,
9153  0.0866369, 0.0905571, 0.0945742, 0.0996017, 0.105426,
9154  0.111863, 0.119761, 0.128247, 0.139771, 0.150576,
9155  0.164795, 0.180415, 0.199374, 0.220195, 0.245804,
9156  0.275011, 0.309363, 0.350796, 0.398219, 0.454595,
9157  0.521884, 0.598736, 0.695846, 0.802478, 0.929342,
9158  1.06219, 1.21436, 1.35526, 1.47429, 1.5389,
9159  1.50543, 1.3284, 1.04373, 0.761187, 0.639619,
9160  0.65409, 0.777301, 1.06486, 1.3579, 1.52922,
9161  1.56673, 1.4972, 1.37024, 1.22414, 1.07457,
9162  0.93341, 0.80843, 0.696353, 0.602068, 0.522132,
9163  0.456662, 0.398013, 0.34894, 0.308135, 0.273586,
9164  0.244429, 0.219396, 0.19738, 0.179595, 0.163753,
9165  0.14973, 0.138268, 0.127914, 0.118565, 0.110756,
9166  0.104556, 0.098807, 0.0938615, 0.0895734, 0.0860066,
9167  0.083124, 0.0806264, 0.0794497, 0.0781727, 0.0778139,
9168  0.0780736, 0.0781258, 0.0796175, 0.0812114, 0.0833108,
9169  0.0863403, 0.0895257, 0.0938806, 0.0987701, 0.104611,
9170  0.110845, 0.118894, 0.127493, 0.137648, 0.149688,
9171  0.163945, 0.179456, 0.199012, 0.219751, 0.245178,
9172  0.273202, 0.309185, 0.349724, 0.398753, 0.455632,
9173  0.522113, 0.602267, 0.697726, 0.805441, 0.932793,
9174  1.07049, 1.22392, 1.37491, 1.50107, 1.56524,
9175  1.52884, 1.36102, 1.07253, 0.776176, 0.65115,
9176  0.665578, 0.793685, 1.09747, 1.3862, 1.56866,
9177  1.59581, 1.51917, 1.3916, 1.23612, 1.08048,
9178  0.936224, 0.810531, 0.699511, 0.606167, 0.52397,
9179  0.454717, 0.397891, 0.348929, 0.307289, 0.273556,
9180  0.243904, 0.218895, 0.19734, 0.179508, 0.163018,
9181  0.148968, 0.137166, 0.126926, 0.118026, 0.110388,
9182  0.10351, 0.0974138, 0.0926795, 0.0885587, 0.085135,
9183  0.0822912, 0.0799084, 0.0781945, 0.0778814, 0.0770102,
9184  0.0771627, 0.0776168, 0.0788267, 0.0802684, 0.0825284,
9185  0.0850278, 0.0886865, 0.093089, 0.0978633, 0.10367,
9186  0.110176, 0.117817, 0.126575, 0.137208, 0.149203,
9187  0.16249, 0.178308, 0.197529, 0.219487, 0.244347,
9188  0.2737, 0.307789, 0.349306, 0.396008, 0.452654,
9189  0.521148, 0.604124, 0.697555, 0.809189, 0.936411,
9190  1.08179, 1.23538, 1.38542, 1.51859, 1.59372,
9191  1.56344, 1.39142, 1.09626, 0.795031, 0.664518,
9192  0.678451, 0.8124, 1.12343, 1.4283, 1.59378,
9193  1.61954, 1.54104, 1.40653, 1.24616, 1.087,
9194  0.942566, 0.813345, 0.699659, 0.603418, 0.521998,
9195  0.454957, 0.396717, 0.348613, 0.307883, 0.273053,
9196  0.242965, 0.217302, 0.196363, 0.177102, 0.161611,
9197  0.147986, 0.135843, 0.126071, 0.117113, 0.109433,
9198  0.102851, 0.0965837, 0.0917441, 0.0877484, 0.0842393,
9199  0.0817055, 0.0791676, 0.0774475, 0.076238, 0.0760802,
9200  0.0761347, 0.0766174, 0.0772744, 0.0795371, 0.0816502,
9201  0.0841211, 0.0878472, 0.091865, 0.0967915, 0.102301,
9202  0.109129, 0.11727, 0.125895, 0.136308, 0.148442,
9203  0.162211, 0.177949, 0.196162, 0.217497, 0.243535,
9204  0.273535, 0.307644, 0.348269, 0.396343, 0.45299,
9205  0.520652, 0.602301, 0.699362, 0.814123, 0.940941,
9206  1.092, 1.24616, 1.40902, 1.54233, 1.62032,
9207  1.59873, 1.42114, 1.11985, 0.814573, 0.680369,
9208  0.69402, 0.8341, 1.15693, 1.4585, 1.62624,
9209  1.65407, 1.56869, 1.42248, 1.25856, 1.09787,
9210  0.945094, 0.815027, 0.701985, 0.607326, 0.524663,
9211  0.455407, 0.39706, 0.346286, 0.305813, 0.271438,
9212  0.2426, 0.217168, 0.19486, 0.176989, 0.160693,
9213  0.146934, 0.135447, 0.124852, 0.116206, 0.108452,
9214  0.101456, 0.0955046, 0.0913209, 0.0866385, 0.0833798,
9215  0.0805189, 0.0784805, 0.0763745, 0.0759028, 0.0751585,
9216  0.0752664, 0.0755864, 0.0770685, 0.0779478, 0.0806383,
9217  0.0833848, 0.0867944, 0.0906849, 0.0959534, 0.101828,
9218  0.1086, 0.115758, 0.125067, 0.135149, 0.147385,
9219  0.161214, 0.176774, 0.195557, 0.217035, 0.242538,
9220  0.271306, 0.306131, 0.346569, 0.397029, 0.452688,
9221  0.521998, 0.606228, 0.701699, 0.817113, 0.948792,
9222  1.09899, 1.25586, 1.42217, 1.56338, 1.64834,
9223  1.63556, 1.45811, 1.14989, 0.832651, 0.695839,
9224  0.70968, 0.851663, 1.17978, 1.48981, 1.66137,
9225  1.67641, 1.58445, 1.43586, 1.27377, 1.10247,
9226  0.950073, 0.82157, 0.704967, 0.605755, 0.52273,
9227  0.45662, 0.396255, 0.346768, 0.306505, 0.270936,
9228  0.241832, 0.21652, 0.194674, 0.176565, 0.159786,
9229  0.146644, 0.134176, 0.124159, 0.114527, 0.10695,
9230  0.100734, 0.0947839, 0.0901228, 0.0860246, 0.0823293,
9231  0.0795916, 0.0772435, 0.075936, 0.0748489, 0.0742404,
9232  0.0743574, 0.0747593, 0.0757442, 0.0776534, 0.0795466,
9233  0.0822824, 0.085983, 0.089793, 0.0951038, 0.100737,
9234  0.10746, 0.115413, 0.124073, 0.134538, 0.14612,
9235  0.159939, 0.176182, 0.195217, 0.21632, 0.241495,
9236  0.27058, 0.305749, 0.347739, 0.396015, 0.453882,
9237  0.52392, 0.60627, 0.702115, 0.817562, 0.950969,
9238  1.10473, 1.27149, 1.43354, 1.58312, 1.6819,
9239  1.66126, 1.49306, 1.18309, 0.852292, 0.709566,
9240  0.723403, 0.872726, 1.21048, 1.52801, 1.69657,
9241  1.71102, 1.60504, 1.45317, 1.27833, 1.11294,
9242  0.957501, 0.822268, 0.708372, 0.609652, 0.524092,
9243  0.455281, 0.396004, 0.346845, 0.30478, 0.270311,
9244  0.240336, 0.214785, 0.193914, 0.175269, 0.158885,
9245  0.14516, 0.133446, 0.123124, 0.114316, 0.106313,
9246  0.0995529, 0.0939961, 0.0893343, 0.0848334, 0.0814218,
9247  0.0786761, 0.0763074, 0.0747387, 0.0739132, 0.0734179,
9248  0.0734594, 0.0739525, 0.0746899, 0.0765758, 0.0789449,
9249  0.0814131, 0.084833, 0.0895371, 0.0941471, 0.0998602,
9250  0.106658, 0.114156, 0.123428, 0.133344, 0.14497,
9251  0.159658, 0.175044, 0.194054, 0.214974, 0.240867,
9252  0.270162, 0.305101, 0.346058, 0.395222, 0.453424,
9253  0.523455, 0.607246, 0.705448, 0.822245, 0.957471,
9254  1.11503, 1.28303, 1.45774, 1.60941, 1.70987,
9255  1.70024, 1.53336, 1.20695, 0.875326, 0.724185,
9256  0.736368, 0.895955, 1.23408, 1.56298, 1.73136,
9257  1.74085, 1.62781, 1.47307, 1.29215, 1.11701,
9258  0.964346, 0.825982, 0.706965, 0.607952, 0.525018,
9259  0.453684, 0.392915, 0.344842, 0.304133, 0.268673,
9260  0.240118, 0.215343, 0.192551, 0.174296, 0.158234,
9261  0.144031, 0.132741, 0.122109, 0.113282, 0.10553,
9262  0.0988875, 0.0929308, 0.0883326, 0.0838427, 0.0804278,
9263  0.0780877, 0.0757442, 0.0740173, 0.0727129, 0.0724963,
9264  0.0723125, 0.0727883, 0.0741915, 0.0754727, 0.0777972,
9265  0.0805132, 0.0841226, 0.088407, 0.093208, 0.0987868,
9266  0.105398, 0.113055, 0.122672, 0.132684, 0.144742,
9267  0.15819, 0.174308, 0.192523, 0.213947, 0.239739,
9268  0.268449, 0.30378, 0.345447, 0.39743, 0.453722,
9269  0.522585, 0.608608, 0.707369, 0.824224, 0.961718,
9270  1.11456, 1.29368, 1.47017, 1.62521, 1.73497,
9271  1.72888, 1.55824, 1.23974, 0.890731, 0.741839,
9272  0.751959, 0.913468, 1.26213, 1.59387, 1.75982,
9273  1.76176, 1.6466, 1.48541, 1.30319, 1.12419,
9274  0.967816, 0.827568, 0.708708, 0.607761, 0.523836,
9275  0.453058, 0.393308, 0.34649, 0.302153, 0.267429,
9276  0.23852, 0.213488, 0.191673, 0.1732, 0.15761,
9277  0.143569, 0.130805, 0.121048, 0.112108, 0.104613,
9278  0.0979922, 0.0923233, 0.0871597, 0.0832433, 0.0795718,
9279  0.0769602, 0.0747071, 0.0729268, 0.0721561, 0.0714831,
9280  0.0716757, 0.0719476, 0.0731308, 0.0745618, 0.077157,
9281  0.0796656, 0.0830881, 0.0870724, 0.0917865, 0.0977611,
9282  0.104609, 0.112469, 0.121485, 0.131798, 0.143569,
9283  0.157021, 0.173037, 0.192006, 0.213578, 0.239284,
9284  0.269338, 0.303374, 0.345703, 0.396679, 0.45363,
9285  0.523771, 0.607346, 0.708082, 0.827251, 0.96597,
9286  1.12917, 1.29825, 1.48863, 1.64967, 1.76113,
9287  1.76082, 1.59285, 1.26868, 0.913327, 0.756123,
9288  0.76903, 0.934089, 1.29774, 1.63181, 1.79396,
9289  1.79474, 1.67034, 1.49684, 1.31551, 1.13498,
9290  0.970035, 0.829917, 0.710366, 0.609, 0.523398,
9291  0.454584, 0.395672, 0.343732, 0.302922, 0.268544,
9292  0.238432, 0.212337, 0.190905, 0.17183, 0.15631,
9293  0.142334, 0.13069, 0.120345, 0.111159, 0.10394,
9294  0.0966527, 0.0912667, 0.0862705, 0.082443, 0.0789815,
9295  0.0758594, 0.0738743, 0.0721664, 0.0710347, 0.0706744,
9296  0.07065, 0.0710542, 0.0722728, 0.0742945, 0.0761892,
9297  0.0788816, 0.0818531, 0.086428, 0.0910498, 0.0967301,
9298  0.103644, 0.11108, 0.120226, 0.130481, 0.142381,
9299  0.156189, 0.172274, 0.190728, 0.212519, 0.237588,
9300  0.267824, 0.302793, 0.345623, 0.394288, 0.453668,
9301  0.524484, 0.607269, 0.71122, 0.832395, 0.970012,
9302  1.13312, 1.31369, 1.49987, 1.67872, 1.79313,
9303  1.79377, 1.62227, 1.30015, 0.931077, 0.772374,
9304  0.78257, 0.954287, 1.3329, 1.66634, 1.83073,
9305  1.82071, 1.69119, 1.5147, 1.32157, 1.14131,
9306  0.972361, 0.83206, 0.711114, 0.608493, 0.524439,
9307  0.453215, 0.392797, 0.343196, 0.302026, 0.267009,
9308  0.236655, 0.212017, 0.190194, 0.171181, 0.155176,
9309  0.141665, 0.12961, 0.11928, 0.110072, 0.102302,
9310  0.0959438, 0.0904706, 0.0853634, 0.081272, 0.0779676,
9311  0.0749496, 0.0731784, 0.0712696, 0.0703938, 0.0698561,
9312  0.0696716, 0.0702328, 0.07118, 0.0731578, 0.0753053,
9313  0.077989, 0.0812468, 0.0855396, 0.0901411, 0.0963331,
9314  0.102627, 0.110681, 0.119193, 0.129747, 0.141489,
9315  0.15521, 0.170875, 0.190309, 0.21187, 0.237266,
9316  0.267517, 0.30381, 0.344649, 0.39364, 0.453241,
9317  0.524541, 0.609984, 0.711792, 0.83193, 0.976014,
9318  1.13819, 1.32452, 1.51798, 1.70061, 1.81894,
9319  1.82983, 1.66567, 1.3186, 0.954058, 0.78636,
9320  0.802878, 0.971892, 1.36033, 1.6982, 1.87099,
9321  1.85152, 1.71249, 1.52635, 1.33254, 1.14627,
9322  0.985321, 0.836807, 0.710202, 0.608165, 0.523466,
9323  0.453966, 0.393178, 0.344103, 0.300663, 0.265557,
9324  0.236838, 0.210439, 0.189003, 0.170346, 0.154622,
9325  0.140717, 0.128481, 0.118053, 0.109585, 0.101811,
9326  0.0950901, 0.0891658, 0.084388, 0.0804133, 0.0770685,
9327  0.0742335, 0.072012, 0.0704647, 0.0694085, 0.0690817,
9328  0.0688537, 0.0696319, 0.0704944, 0.0720288, 0.0744436,
9329  0.077131, 0.0804472, 0.0842957, 0.0894578, 0.095325,
9330  0.10151, 0.110076, 0.118447, 0.12921, 0.140542,
9331  0.154119, 0.170299, 0.189515, 0.21103, 0.236507,
9332  0.26529, 0.301741, 0.343764, 0.392545, 0.452109,
9333  0.52535, 0.611891, 0.71429, 0.833741, 0.981573,
9334  1.14766, 1.33427, 1.53061, 1.71712, 1.85007,
9335  1.8579, 1.70493, 1.35982, 0.976429, 0.799126,
9336  0.819713, 0.994167, 1.38507, 1.74176, 1.90052,
9337  1.87339, 1.73922, 1.54557, 1.34231, 1.15927,
9338  0.986412, 0.840113, 0.713264, 0.611399, 0.524663,
9339  0.451529, 0.390513, 0.341369, 0.300106, 0.265156,
9340  0.235474, 0.209994, 0.187446, 0.168843, 0.153124,
9341  0.139915, 0.127768, 0.117732, 0.108433, 0.100394,
9342  0.0943401, 0.0885713, 0.08376, 0.0798333, 0.0761332,
9343  0.073334, 0.0711914, 0.069757, 0.0685669, 0.0682375,
9344  0.0676991, 0.0685818, 0.0694085, 0.0712593, 0.0734381,
9345  0.0758251, 0.0797117, 0.083572, 0.0882167, 0.0944247,
9346  0.100883, 0.108488, 0.117482, 0.127846, 0.139511,
9347  0.153085, 0.169938, 0.18821, 0.209318, 0.235895,
9348  0.264949, 0.299817, 0.34234, 0.394745, 0.451987,
9349  0.525697, 0.608539, 0.716197, 0.837146, 0.982633,
9350  1.15391, 1.34568, 1.54521, 1.73919, 1.8725,
9351  1.8961, 1.73406, 1.38956, 0.994042, 0.817833,
9352  0.835099, 1.01862, 1.42028, 1.77238, 1.93352,
9353  1.90608, 1.7577, 1.56292, 1.35495, 1.16029,
9354  0.986355, 0.837554, 0.715911, 0.611216, 0.52318,
9355  0.450077, 0.391661, 0.341283, 0.299181, 0.264172,
9356  0.233634, 0.209263, 0.186494, 0.168839, 0.152536,
9357  0.139038, 0.127255, 0.116393, 0.107388, 0.0998964,
9358  0.0935835, 0.0874876, 0.0822683, 0.0784233, 0.0752378,
9359  0.0725108, 0.0704315, 0.0684815, 0.06746, 0.0671675,
9360  0.0671813, 0.0676385, 0.0684491, 0.0704414, 0.07246,
9361  0.0753885, 0.0786368, 0.0828106, 0.0876184, 0.0933056,
9362  0.100012, 0.107283, 0.11676, 0.127181, 0.138581,
9363  0.152414, 0.168587, 0.187322, 0.208603, 0.233221,
9364  0.263329, 0.299856, 0.341714, 0.391882, 0.45257,
9365  0.523466, 0.610522, 0.716197, 0.839632, 0.987197,
9366  1.15718, 1.35813, 1.55807, 1.76658, 1.9069,
9367  1.93051, 1.77919, 1.42524, 1.01823, 0.838935,
9368  0.851563, 1.04115, 1.45424, 1.81334, 1.96891,
9369  1.93471, 1.78181, 1.57786, 1.36048, 1.16573,
9370  0.991769, 0.841798, 0.713615, 0.610709, 0.525884,
9371  0.451472, 0.39152, 0.342391, 0.299039, 0.263137,
9372  0.233502, 0.20896, 0.186264, 0.167688, 0.151507,
9373  0.137567, 0.126093, 0.115568, 0.106531, 0.0988444,
9374  0.0924747, 0.0866838, 0.0819728, 0.07778, 0.0741851,
9375  0.0715022, 0.0694096, 0.0678047, 0.0666391, 0.0664884,
9376  0.0663767, 0.0669056, 0.0680705, 0.069333, 0.0713505,
9377  0.0745591, 0.0778254, 0.0818474, 0.0865161, 0.0923329,
9378  0.099011, 0.106593, 0.116269, 0.125779, 0.137654,
9379  0.151728, 0.166996, 0.186353, 0.208371, 0.233575,
9380  0.262606, 0.298322, 0.342159, 0.391077, 0.451281,
9381  0.524442, 0.609999, 0.716799, 0.84269, 0.995147,
9382  1.16255, 1.36626, 1.583, 1.78001, 1.92835,
9383  1.96808, 1.81084, 1.45082, 1.04147, 0.851136,
9384  0.86762, 1.06301, 1.49182, 1.85334, 2.00423,
9385  1.96727, 1.81122, 1.59311, 1.38069, 1.17925,
9386  0.994263, 0.846031, 0.719979, 0.611894, 0.523203,
9387  0.451156, 0.389971, 0.340812, 0.297151, 0.260707,
9388  0.23202, 0.206983, 0.184452, 0.166947, 0.150599,
9389  0.136903, 0.124785, 0.114499, 0.106095, 0.098179,
9390  0.0914067, 0.0860154, 0.0809113, 0.0768531, 0.0733351,
9391  0.0703724, 0.0686981, 0.0669826, 0.0656511, 0.0655062,
9392  0.0655504, 0.0657701, 0.0669193, 0.068536, 0.0707888,
9393  0.0735521, 0.0770025, 0.0807839, 0.0856913, 0.0914185,
9394  0.0977123, 0.10573, 0.114959, 0.124623, 0.137154,
9395  0.150613, 0.166605, 0.185345, 0.20681, 0.232244,
9396  0.262628, 0.297364, 0.339064, 0.390383, 0.450427,
9397  0.524557, 0.610575, 0.713939, 0.845615, 0.997039,
9398  1.17168, 1.37396, 1.59156, 1.80437, 1.96848,
9399  2.00592, 1.84684, 1.48497, 1.05557, 0.867658,
9400  0.883166, 1.08685, 1.51766, 1.88681, 2.0437,
9401  1.9906, 1.82665, 1.61202, 1.38852, 1.18138,
9402  0.997542, 0.845989, 0.718927, 0.614796, 0.524515,
9403  0.450591, 0.389548, 0.340201, 0.298759, 0.261135,
9404  0.231217, 0.206222, 0.184106, 0.165607, 0.149783,
9405  0.136062, 0.123904, 0.113935, 0.105217, 0.0970969,
9406  0.0905987, 0.0846847, 0.0802036, 0.0758823, 0.0725885,
9407  0.0699953, 0.0677734, 0.0658559, 0.0650772, 0.0645838,
9408  0.0646395, 0.0650704, 0.0663088, 0.0676358, 0.0698149,
9409  0.0724177, 0.0760237, 0.0802379, 0.0847705, 0.0909217,
9410  0.0973344, 0.105158, 0.11416, 0.124284, 0.136238,
9411  0.149782, 0.165664, 0.184464, 0.206545, 0.231133,
9412  0.261271, 0.297059, 0.339724, 0.390029, 0.450671,
9413  0.522948, 0.613389, 0.720772, 0.846934, 1.00111,
9414  1.17896, 1.38251, 1.60991, 1.8276, 1.98937,
9415  2.03959, 1.89332, 1.5193, 1.08233, 0.883536,
9416  0.90124, 1.10547, 1.55429, 1.92899, 2.06902,
9417  2.02461, 1.84908, 1.62267, 1.39488, 1.18928,
9418  1.00485, 0.848768, 0.719537, 0.612855, 0.521152,
9419  0.45008, 0.387871, 0.33883, 0.296894, 0.260934,
9420  0.23045, 0.205353, 0.183187, 0.164105, 0.149379,
9421  0.13523, 0.123057, 0.112875, 0.103319, 0.0963228,
9422  0.0897099, 0.0840708, 0.0791908, 0.0750072, 0.0714831,
9423  0.068827, 0.0668774, 0.0653964, 0.0641979, 0.0639326,
9424  0.0639146, 0.0642441, 0.0653449, 0.0669147, 0.0689029,
9425  0.0717931, 0.0750167, 0.0791516, 0.0840258, 0.0900222,
9426  0.0962084, 0.103834, 0.112271, 0.122871, 0.135624,
9427  0.148814, 0.164541, 0.183624, 0.205226, 0.23073,
9428  0.260227, 0.296709, 0.337804, 0.389152, 0.450404,
9429  0.523359, 0.612932, 0.7202, 0.849699, 1.00434,
9430  1.1872, 1.39543, 1.6202, 1.83941, 2.0195,
9431  2.08034, 1.92235, 1.54849, 1.10782, 0.899501,
9432  0.916175, 1.13134, 1.58222, 1.96717, 2.10934,
9433  2.0374, 1.86697, 1.63548, 1.40537, 1.1902,
9434  1.00635, 0.851987, 0.720379, 0.614895, 0.52339,
9435  0.449066, 0.387825, 0.340136, 0.295806, 0.260096,
9436  0.229936, 0.204653, 0.182609, 0.163409, 0.147642,
9437  0.133635, 0.122109, 0.111913, 0.10319, 0.0956209,
9438  0.0889694, 0.083291, 0.0780115, 0.0742461, 0.0709447,
9439  0.0681505, 0.06626, 0.0644256, 0.063438, 0.0627848,
9440  0.0629888, 0.0632435, 0.0645831, 0.0662124, 0.0680831,
9441  0.0705265, 0.0743445, 0.0783344, 0.0830348, 0.0886735,
9442  0.0950718, 0.102635, 0.111702, 0.122, 0.134009,
9443  0.14764, 0.163751, 0.182933, 0.204332, 0.229971,
9444  0.260832, 0.294988, 0.339179, 0.391115, 0.45095,
9445  0.523573, 0.612337, 0.722458, 0.853561, 1.0066,
9446  1.19691, 1.40351, 1.63005, 1.85825, 2.04149,
9447  2.10925, 1.96606, 1.59086, 1.12887, 0.917338,
9448  0.932404, 1.15667, 1.6216, 2.00905, 2.14258,
9449  2.07499, 1.88154, 1.64835, 1.41467, 1.19561,
9450  1.01206, 0.852749, 0.72351, 0.612985, 0.52352,
9451  0.447484, 0.387821, 0.33659, 0.29375, 0.259342,
9452  0.228782, 0.203581, 0.180915, 0.163244, 0.147073,
9453  0.133345, 0.121182, 0.111058, 0.101968, 0.0945772,
9454  0.0879143, 0.0822153, 0.0773232, 0.0735315, 0.0701127,
9455  0.0672427, 0.0650227, 0.0636199, 0.062614, 0.0618541,
9456  0.0621419, 0.0629511, 0.063592, 0.0650231, 0.0674406,
9457  0.0698466, 0.0733908, 0.0773953, 0.0825215, 0.0879444,
9458  0.094146, 0.102106, 0.110927, 0.121325, 0.133067,
9459  0.14647, 0.162863, 0.181311, 0.203628, 0.229694,
9460  0.258607, 0.293703, 0.337176, 0.387501, 0.450309,
9461  0.52363, 0.611189, 0.722023, 0.85209, 1.01136,
9462  1.19922, 1.41169, 1.65035, 1.88374, 2.07684,
9463  2.14801, 2.0079, 1.62053, 1.15154, 0.934501,
9464  0.954043, 1.17996, 1.6569, 2.0447, 2.17905,
9465  2.10135, 1.91083, 1.66006, 1.42502, 1.205,
9466  1.00935, 0.852658, 0.720871, 0.614274, 0.521804,
9467  0.446305, 0.387607, 0.335647, 0.29384, 0.257669,
9468  0.228264, 0.201575, 0.180171, 0.161649, 0.145658,
9469  0.13205, 0.120167, 0.110322, 0.10139, 0.0936049,
9470  0.0866648, 0.0812853, 0.0765625, 0.0727167, 0.0692826,
9471  0.0662086, 0.0644778, 0.0627158, 0.0618114, 0.0613851,
9472  0.0613416, 0.0619574, 0.0627223, 0.0643158, 0.0663279,
9473  0.0690134, 0.0724818, 0.0765579, 0.081452, 0.086831,
9474  0.0934375, 0.101462, 0.10971, 0.120008, 0.132008,
9475  0.145514, 0.161723, 0.180498, 0.201812, 0.228078,
9476  0.258286, 0.292691, 0.334574, 0.386425, 0.449257,
9477  0.522048, 0.610678, 0.722389, 0.854217, 1.01421,
9478  1.20464, 1.43001, 1.6658, 1.90849, 2.10572,
9479  2.184, 2.04426, 1.65827, 1.17772, 0.951629,
9480  0.970141, 1.20162, 1.69524, 2.08051, 2.21982,
9481  2.13901, 1.92791, 1.67482, 1.43193, 1.21302,
9482  1.02124, 0.856021, 0.722827, 0.611868, 0.522925,
9483  0.447865, 0.386185, 0.335744, 0.293005, 0.255952,
9484  0.22735, 0.201704, 0.180115, 0.161209, 0.145328,
9485  0.130985, 0.119089, 0.109142, 0.0997035, 0.0927222,
9486  0.0857836, 0.0805132, 0.075928, 0.0717619, 0.0683709,
9487  0.0654795, 0.0634452, 0.0618731, 0.0611132, 0.060359,
9488  0.0605328, 0.0609755, 0.0620588, 0.0637228, 0.0656755,
9489  0.0681357, 0.0716013, 0.0759471, 0.080514, 0.0861718,
9490  0.0924179, 0.100221, 0.10909, 0.119196, 0.131436,
9491  0.144401, 0.161233, 0.179565, 0.200839, 0.227266,
9492  0.256351, 0.293097, 0.336063, 0.388667, 0.447518,
9493  0.523664, 0.611021, 0.723895, 0.855338, 1.0143,
9494  1.20617, 1.43266, 1.68286, 1.91989, 2.13886,
9495  2.22241, 2.08254, 1.68418, 1.19752, 0.966672,
9496  0.986335, 1.22575, 1.72424, 2.11424, 2.25386,
9497  2.16608, 1.94439, 1.68727, 1.43949, 1.2193,
9498  1.01861, 0.861054, 0.724879, 0.6113, 0.523203,
9499  0.446999, 0.387161, 0.333289, 0.290878, 0.255117,
9500  0.225723, 0.200063, 0.178666, 0.159968, 0.143574,
9501  0.130531, 0.118064, 0.108608, 0.0990274, 0.0916892,
9502  0.085106, 0.0795294, 0.0745976, 0.0708265, 0.0675805,
9503  0.0648256, 0.0627208, 0.061149, 0.0603014, 0.0598122,
9504  0.0596883, 0.0600657, 0.0611795, 0.0628218, 0.0649567,
9505  0.0675309, 0.0708284, 0.074887, 0.0795031, 0.0850519,
9506  0.0918055, 0.0993332, 0.108117, 0.118399, 0.13005,
9507  0.143442, 0.159661, 0.178581, 0.200597, 0.225627,
9508  0.255849, 0.29225, 0.335014, 0.384031, 0.448357,
9509  0.521407, 0.611917, 0.719502, 0.860116, 1.02048,
9510  1.21264, 1.4423, 1.69379, 1.9445, 2.15939,
9511  2.25262, 2.12675, 1.72779, 1.22703, 0.992051,
9512  1.00659, 1.25479, 1.75021, 2.1655, 2.29975,
9513  2.19248, 1.96899, 1.70731, 1.45115, 1.22058,
9514  1.02495, 0.860372, 0.725634, 0.61218, 0.522437,
9515  0.445852, 0.385304, 0.333458, 0.289441, 0.255811,
9516  0.224721, 0.198066, 0.178062, 0.159266, 0.142863,
9517  0.129563, 0.117244, 0.107057, 0.0988406, 0.0908404,
9518  0.0842805, 0.0787912, 0.0740943, 0.070112, 0.0666734,
9519  0.0638494, 0.0618064, 0.0604287, 0.0594095, 0.0590587,
9520  0.0593031, 0.0596497, 0.0604364, 0.0620764, 0.0642117,
9521  0.066641, 0.0698687, 0.0738987, 0.0787173, 0.0842488,
9522  0.0908401, 0.0983293, 0.107067, 0.117456, 0.129002,
9523  0.142903, 0.158184, 0.177764, 0.198567, 0.224847,
9524  0.254501, 0.290322, 0.333618, 0.384591, 0.444212,
9525  0.521293, 0.616295, 0.72354, 0.861062, 1.02226,
9526  1.22422, 1.44351, 1.70379, 1.96947, 2.19192,
9527  2.28637, 2.17519, 1.75958, 1.25088, 1.00393,
9528  1.0229, 1.27733, 1.79835, 2.19885, 2.32522,
9529  2.21744, 1.98744, 1.71946, 1.45778, 1.22426,
9530  1.02736, 0.860421, 0.724517, 0.615479, 0.522494,
9531  0.445139, 0.384744, 0.332784, 0.291307, 0.254226,
9532  0.223651, 0.198835, 0.176364, 0.15786, 0.141981,
9533  0.127976, 0.116671, 0.106082, 0.0973821, 0.0900367,
9534  0.0835762, 0.0777247, 0.073122, 0.0689677, 0.0660187,
9535  0.0634125, 0.0610114, 0.0596543, 0.0587991, 0.0581733,
9536  0.0580624, 0.0585043, 0.059705, 0.060942, 0.0631936,
9537  0.065894, 0.06937, 0.0732516, 0.0778235, 0.0830351,
9538  0.0899131, 0.0973367, 0.106495, 0.116316, 0.128774,
9539  0.141538, 0.1578, 0.177315, 0.199025, 0.22411,
9540  0.254311, 0.290046, 0.331701, 0.383394, 0.446366,
9541  0.522776, 0.612756, 0.725245, 0.865977, 1.02842,
9542  1.2285, 1.45332, 1.72168, 1.99495, 2.21063,
9543  2.32034, 2.20521, 1.79894, 1.27673, 1.02206,
9544  1.04122, 1.30572, 1.83683, 2.25246, 2.37284,
9545  2.24439, 2.01212, 1.73602, 1.46543, 1.22793,
9546  1.028, 0.865439, 0.724703, 0.614705, 0.521739,
9547  0.445005, 0.383756, 0.331484, 0.288126, 0.253707,
9548  0.223269, 0.197119, 0.176057, 0.15711, 0.141311,
9549  0.127284, 0.11573, 0.105131, 0.0966035, 0.08916,
9550  0.082573, 0.0770025, 0.072473, 0.0684541, 0.065094,
9551  0.0623154, 0.060203, 0.058976, 0.0578664, 0.0576944,
9552  0.0575846, 0.0578992, 0.0590092, 0.0604272, 0.0623547,
9553  0.0651905, 0.0684327, 0.0724383, 0.0770918, 0.0823179,
9554  0.0891398, 0.0965455, 0.105334, 0.115191, 0.12757,
9555  0.141217, 0.156819, 0.175711, 0.196724, 0.22309,
9556  0.252359, 0.288955, 0.330585, 0.383409, 0.444917,
9557  0.521468, 0.613443, 0.725089, 0.861107, 1.02948,
9558  1.22962, 1.46745, 1.73419, 2.00608, 2.24691,
9559  2.3699, 2.24084, 1.83555, 1.30319, 1.03973,
9560  1.05947, 1.32844, 1.88134, 2.28668, 2.40034,
9561  2.27238, 2.02129, 1.75028, 1.47063, 1.23508,
9562  1.03221, 0.861489, 0.724105, 0.61093, 0.51934,
9563  0.443617, 0.382361, 0.330512, 0.288567, 0.251857,
9564  0.221745, 0.195934, 0.174755, 0.156261, 0.140151,
9565  0.126196, 0.114433, 0.104451, 0.0958195, 0.0884985,
9566  0.0820209, 0.0760897, 0.0714694, 0.0676301, 0.0643085,
9567  0.0615864, 0.0597298, 0.0582668, 0.0570786, 0.0565238,
9568  0.0565337, 0.0569154, 0.0579903, 0.0595933, 0.0615254,
9569  0.0643043, 0.0674558, 0.0713005, 0.0763208, 0.0819202,
9570  0.0880916, 0.0955042, 0.104376, 0.114497, 0.126554,
9571  0.140404, 0.156328, 0.173855, 0.196004, 0.221765,
9572  0.252801, 0.287622, 0.330897, 0.384069, 0.446164,
9573  0.5204, 0.615475, 0.726621, 0.865836, 1.03181,
9574  1.23997, 1.47478, 1.74624, 2.02544, 2.28161,
9575  2.40293, 2.28382, 1.87706, 1.33534, 1.06061,
9576  1.07738, 1.34963, 1.91223, 2.32566, 2.44029,
9577  2.29538, 2.05151, 1.76428, 1.48327, 1.23971,
9578  1.03627, 0.87212, 0.727403, 0.613965, 0.520458,
9579  0.444105, 0.382372, 0.329497, 0.288105, 0.251078,
9580  0.221343, 0.194607, 0.173603, 0.154432, 0.139289,
9581  0.124597, 0.113697, 0.103808, 0.0948087, 0.0871109,
9582  0.080983, 0.0754235, 0.0707896, 0.0669185, 0.0634868,
9583  0.0609336, 0.0590145, 0.0575278, 0.0561658, 0.056043,
9584  0.0559442, 0.0563774, 0.0573409, 0.0587121, 0.0608676,
9585  0.0634197, 0.0667954, 0.0704483, 0.0753034, 0.0809223,
9586  0.0871666, 0.0948205, 0.103952, 0.113175, 0.125542,
9587  0.139093, 0.155177, 0.174378, 0.195409, 0.220688,
9588  0.250935, 0.28684, 0.33036, 0.381392, 0.443491,
9589  0.520252, 0.612935, 0.728303, 0.866606, 1.03772,
9590  1.24089, 1.48181, 1.7501, 2.04595, 2.31042,
9591  2.44624, 2.32852, 1.91528, 1.35635, 1.07704,
9592  1.09694, 1.37535, 1.94932, 2.37258, 2.47254,
9593  2.33061, 2.06516, 1.77697, 1.48847, 1.24605,
9594  1.03689, 0.868387, 0.727521, 0.614228, 0.517708,
9595  0.443899, 0.381041, 0.329491, 0.286188, 0.250151,
9596  0.219449, 0.194487, 0.172943, 0.155006, 0.137945,
9597  0.124928, 0.112549, 0.102438, 0.0941872, 0.0864341,
9598  0.0799824, 0.0743254, 0.069715, 0.065905, 0.0625648,
9599  0.0602003, 0.0579892, 0.056655, 0.0557768, 0.0552217,
9600  0.0550287, 0.0554787, 0.0565391, 0.0580517, 0.0600459,
9601  0.0631127, 0.0660366, 0.069821, 0.0745248, 0.0802497,
9602  0.0863994, 0.0940064, 0.102305, 0.112793, 0.124882,
9603  0.137808, 0.154485, 0.173022, 0.195048, 0.220223,
9604  0.250488, 0.28612, 0.329039, 0.382372, 0.443007,
9605  0.517156, 0.613866, 0.728692, 0.868444, 1.03828,
9606  1.24405, 1.4883, 1.7759, 2.07102, 2.33067,
9607  2.47234, 2.37082, 1.94768, 1.38225, 1.0961,
9608  1.11895, 1.40842, 1.98431, 2.414, 2.51667,
9609  2.35526, 2.08636, 1.7889, 1.50065, 1.24855,
9610  1.03687, 0.868131, 0.726065, 0.616123, 0.52138,
9611  0.442618, 0.380626, 0.328805, 0.2849, 0.249802,
9612  0.219321, 0.193428, 0.171111, 0.152972, 0.137413,
9613  0.123451, 0.111922, 0.101261, 0.0927988, 0.0853981,
9614  0.0790646, 0.0737378, 0.0690268, 0.0650376, 0.0620985,
9615  0.0594099, 0.0574885, 0.0557372, 0.0550497, 0.0543492,
9616  0.0544377, 0.0548438, 0.0559187, 0.0573188, 0.0592913,
9617  0.0619334, 0.0654021, 0.0690924, 0.0737176, 0.079444,
9618  0.0854396, 0.0930962, 0.10192, 0.112008, 0.123898,
9619  0.13752, 0.153158, 0.171648, 0.193641, 0.218627,
9620  0.249344, 0.285138, 0.327316, 0.379562, 0.442935,
9621  0.520679, 0.611475, 0.726877, 0.864204, 1.04055,
9622  1.24826, 1.50078, 1.7904, 2.08286, 2.35203,
9623  2.52171, 2.41953, 1.98547, 1.40054, 1.11784,
9624  1.13567, 1.43296, 2.03052, 2.46526, 2.54309,
9625  2.38253, 2.1045, 1.79164, 1.50929, 1.25579,
9626  1.0446, 0.87276, 0.726606, 0.612497, 0.518791,
9627  0.442111, 0.378599, 0.326661, 0.285102, 0.248685,
9628  0.217971, 0.192696, 0.171201, 0.152188, 0.136626,
9629  0.122671, 0.110972, 0.100839, 0.0922497, 0.0847552,
9630  0.0782883, 0.0732905, 0.068308, 0.0644424, 0.0612627,
9631  0.0589153, 0.0566698, 0.0552472, 0.0539405, 0.0539477,
9632  0.0535595, 0.054395, 0.0552788, 0.0565002, 0.0586553,
9633  0.0611601, 0.0645015, 0.0681673, 0.0728238, 0.0783081,
9634  0.0847537, 0.0921689, 0.100532, 0.11104, 0.122444,
9635  0.136141, 0.152662, 0.170711, 0.19235, 0.218915,
9636  0.248829, 0.284167, 0.326991, 0.378428, 0.442161,
9637  0.519848, 0.611582, 0.730339, 0.867708, 1.04317,
9638  1.25627, 1.51511, 1.79812, 2.10622, 2.39498,
9639  2.54525, 2.45434, 2.02561, 1.42765, 1.13854,
9640  1.15424, 1.46291, 2.07158, 2.49937, 2.58929,
9641  2.40196, 2.13235, 1.81323, 1.51643, 1.26502,
9642  1.04333, 0.873035, 0.728562, 0.610491, 0.517255,
9643  0.441509, 0.378993, 0.326101, 0.283317, 0.247725,
9644  0.217342, 0.191503, 0.169551, 0.151239, 0.13517,
9645  0.122221, 0.110256, 0.0997306, 0.0914402, 0.0838496,
9646  0.077263, 0.0720631, 0.0673288, 0.0636492, 0.0605927,
9647  0.057845, 0.0559686, 0.05422, 0.0535798, 0.0532091,
9648  0.0531043, 0.0533998, 0.0545517, 0.0559458, 0.0578553,
9649  0.0606034, 0.0638464, 0.0678508, 0.072028, 0.0773613,
9650  0.0838969, 0.0917266, 0.099641, 0.110182, 0.121749,
9651  0.13528, 0.151189, 0.169422, 0.192657, 0.217232,
9652  0.246371, 0.283689, 0.326736, 0.378622, 0.441429,
9653  0.520023, 0.60929, 0.731426, 0.870255, 1.04791,
9654  1.25745, 1.51687, 1.80926, 2.12694, 2.41231,
9655  2.59246, 2.50748, 2.07362, 1.45634, 1.15366,
9656  1.17517, 1.48617, 2.10912, 2.54408, 2.61544,
9657  2.46004, 2.14296, 1.81252, 1.52645, 1.26587,
9658  1.04436, 0.872394, 0.72738, 0.613893, 0.516854,
9659  0.439602, 0.374936, 0.325482, 0.283512, 0.245481,
9660  0.216124, 0.191259, 0.16868, 0.149607, 0.134337,
9661  0.120511, 0.109103, 0.0989149, 0.0904877, 0.0832929,
9662  0.076545, 0.0709752, 0.0668335, 0.0629793, 0.0596974,
9663  0.0571671, 0.0552907, 0.0535912, 0.0526951, 0.0523577,
9664  0.052331, 0.0525849, 0.0537704, 0.0552075, 0.057161,
9665  0.0598686, 0.0632435, 0.0666776, 0.0712959, 0.0766948,
9666  0.083392, 0.0903547, 0.0988524, 0.109158, 0.120927,
9667  0.134078, 0.150136, 0.168631, 0.190763, 0.216454,
9668  0.246221, 0.285022, 0.325674, 0.377682, 0.440666,
9669  0.517491, 0.611586, 0.729889, 0.87345, 1.04894,
9670  1.2601, 1.52964, 1.82267, 2.13864, 2.44557,
9671  2.62336, 2.54865, 2.10567, 1.48521, 1.17545,
9672  1.19119, 1.51378, 2.14632, 2.58466, 2.65695,
9673  2.481, 2.16804, 1.83817, 1.53054, 1.2684,
9674  1.05096, 0.874781, 0.72852, 0.615345, 0.517594,
9675  0.44139, 0.375961, 0.325975, 0.280744, 0.245284,
9676  0.214596, 0.190146, 0.168142, 0.149198, 0.132944,
9677  0.119674, 0.107588, 0.098661, 0.0893366, 0.0819583,
9678  0.0756371, 0.0705795, 0.0660568, 0.0622003, 0.0590416,
9679  0.0563808, 0.0543134, 0.0531085, 0.052061, 0.0516385,
9680  0.051679, 0.0519306, 0.0531306, 0.0546695, 0.0565802,
9681  0.0589969, 0.0619395, 0.0660091, 0.0705951, 0.0760264,
9682  0.0821875, 0.0893789, 0.098213, 0.1084, 0.119766,
9683  0.133447, 0.149283, 0.167645, 0.189479, 0.21506,
9684  0.245112, 0.280746, 0.32411, 0.378373, 0.438367,
9685  0.517133, 0.612466, 0.73037, 0.875056, 1.05176,
9686  1.27031, 1.52925, 1.83759, 2.17062, 2.47276,
9687  2.65791, 2.58475, 2.14495, 1.51651, 1.19517,
9688  1.21514, 1.54468, 2.1869, 2.6374, 2.69372,
9689  2.49839, 2.18256, 1.84905, 1.54148, 1.27414,
9690  1.05391, 0.876028, 0.72735, 0.614049, 0.517137,
9691  0.437116, 0.377246, 0.324836, 0.28039, 0.244646,
9692  0.214382, 0.188757, 0.16692, 0.148521, 0.132583,
9693  0.119412, 0.107091, 0.0977127, 0.0886518, 0.0813059,
9694  0.0752699, 0.0696212, 0.0648885, 0.0614731, 0.058258,
9695  0.0558432, 0.0537151, 0.0520744, 0.0513087, 0.0510174,
9696  0.0511554, 0.0512633, 0.0522818, 0.0535569, 0.0557425,
9697  0.0582606, 0.0611731, 0.0652492, 0.069797, 0.0749751,
9698  0.0815385, 0.0891543, 0.0974912, 0.106829, 0.119453,
9699  0.132813, 0.147847, 0.166702, 0.18806, 0.213927,
9700  0.24442, 0.281177, 0.323488, 0.376255, 0.438759,
9701  0.516633, 0.613485, 0.728692, 0.877645, 1.05407,
9702  1.27793, 1.53609, 1.84693, 2.18764, 2.49346,
9703  2.70529, 2.62715, 2.18861, 1.54735, 1.21536,
9704  1.23397, 1.57249, 2.23781, 2.67309, 2.73611,
9705  2.53239, 2.20755, 1.85831, 1.54507, 1.28151,
9706  1.05511, 0.872051, 0.729165, 0.610671, 0.515264,
9707  0.43802, 0.375416, 0.322428, 0.279018, 0.243829,
9708  0.21323, 0.18725, 0.165312, 0.147227, 0.131756,
9709  0.118316, 0.106291, 0.0962683, 0.0875547, 0.0808297,
9710  0.074137, 0.0690287, 0.0641964, 0.0605927, 0.0576948,
9711  0.05506, 0.0534314, 0.0517583, 0.0505781, 0.050389,
9712  0.0501926, 0.0507394, 0.051785, 0.0530318, 0.0550871,
9713  0.0576948, 0.0604737, 0.0644401, 0.0688232, 0.0742705,
9714  0.0805902, 0.0881256, 0.0967796, 0.106199, 0.117603,
9715  0.131561, 0.147191, 0.166153, 0.187167, 0.213588,
9716  0.243794, 0.279599, 0.323545, 0.376057, 0.437589,
9717  0.515634, 0.611849, 0.728078, 0.872894, 1.05561,
9718  1.27841, 1.55021, 1.85033, 2.20801, 2.52144,
9719  2.72603, 2.68545, 2.23047, 1.56937, 1.23357,
9720  1.25544, 1.59512, 2.26848, 2.73123, 2.77284,
9721  2.54448, 2.22575, 1.87291, 1.55457, 1.28074,
9722  1.05698, 0.874144, 0.730209, 0.611776, 0.515573,
9723  0.436453, 0.374452, 0.321163, 0.279394, 0.241683,
9724  0.212882, 0.187383, 0.165228, 0.146143, 0.130315,
9725  0.116919, 0.105358, 0.0955595, 0.0869134, 0.0796678,
9726  0.0735471, 0.068321, 0.0635047, 0.0600753, 0.0570485,
9727  0.0543084, 0.0523756, 0.0510513, 0.0500451, 0.049756,
9728  0.0496333, 0.0499158, 0.0511554, 0.0523268, 0.0545429,
9729  0.0567762, 0.0600642, 0.0637926, 0.0680926, 0.0734419,
9730  0.0796572, 0.0872749, 0.095627, 0.105436, 0.117147,
9731  0.130661, 0.146262, 0.164654, 0.18725, 0.211856,
9732  0.243437, 0.278247, 0.321447, 0.373386, 0.437478,
9733  0.517506, 0.610133, 0.731323, 0.872936, 1.05596,
9734  1.2851, 1.54949, 1.87741, 2.22072, 2.55443,
9735  2.78217, 2.71814, 2.27545, 1.6004, 1.25112,
9736  1.27639, 1.62822, 2.31931, 2.76089, 2.80716,
9737  2.59947, 2.24931, 1.88226, 1.55514, 1.28766,
9738  1.06334, 0.879265, 0.731262, 0.610594, 0.515527,
9739  0.437154, 0.371644, 0.321746, 0.278361, 0.241489,
9740  0.211538, 0.185015, 0.163756, 0.145388, 0.129845,
9741  0.116885, 0.104599, 0.0947217, 0.0862, 0.0787607,
9742  0.0729622, 0.067476, 0.0630292, 0.0592212, 0.0560453,
9743  0.053632, 0.0518799, 0.0503959, 0.0493084, 0.0490258,
9744  0.0493774, 0.0495021, 0.0503696, 0.0515512, 0.0537727,
9745  0.0562405, 0.0593138, 0.0629004, 0.0677902, 0.0725024,
9746  0.0790646, 0.0863719, 0.0947805, 0.104469, 0.116077,
9747  0.129836, 0.145425, 0.163455, 0.185828, 0.211479,
9748  0.241208, 0.278585, 0.320701, 0.373239, 0.437974,
9749  0.515009, 0.612276, 0.731998, 0.879982, 1.05387,
9750  1.28629, 1.55606, 1.88456, 2.24806, 2.5829,
9751  2.7996, 2.77568, 2.32033, 1.6336, 1.27782,
9752  1.29113, 1.65592, 2.35987, 2.81715, 2.84446,
9753  2.60816, 2.2574, 1.899, 1.567, 1.28864,
9754  1.06411, 0.880131, 0.731521, 0.611761, 0.513941,
9755  0.435099, 0.371106, 0.320529, 0.276774, 0.240994,
9756  0.209313, 0.184332, 0.163196, 0.144474, 0.129253,
9757  0.114784, 0.103508, 0.093995, 0.0854137, 0.078408,
9758  0.0720684, 0.0669506, 0.0623574, 0.0585112, 0.0554577,
9759  0.0531455, 0.0511505, 0.0495791, 0.0487002, 0.0482064,
9760  0.0482789, 0.0488951, 0.0495951, 0.0511726, 0.0530806,
9761  0.0556129, 0.0584456, 0.0622857, 0.066872, 0.0719975,
9762  0.0784073, 0.085477, 0.0936118, 0.103738, 0.115308,
9763  0.128435, 0.144727, 0.162883, 0.18496, 0.210028,
9764  0.240506, 0.276837, 0.319218, 0.372776, 0.437135,
9765  0.512576, 0.612691, 0.730747, 0.88039, 1.06284,
9766  1.29033, 1.56566, 1.89693, 2.2574, 2.60876,
9767  2.84199, 2.8126, 2.36353, 1.66045, 1.29318,
9768  1.31825, 1.69068, 2.41199, 2.87128, 2.87379,
9769  2.63026, 2.27656, 1.90288, 1.57914, 1.29577,
9770  1.06124, 0.881477, 0.72722, 0.608093, 0.511981,
9771  0.435351, 0.373158, 0.318628, 0.275084, 0.239482,
9772  0.208984, 0.183465, 0.1616, 0.14333, 0.12806,
9773  0.114667, 0.102439, 0.092943, 0.0846923, 0.0775413,
9774  0.071318, 0.0661075, 0.0615326, 0.0579903, 0.0548125,
9775  0.0525319, 0.0504111, 0.0489618, 0.048137, 0.0476162,
9776  0.0476653, 0.048158, 0.0491093, 0.0505488, 0.0524286,
9777  0.0550825, 0.0579007, 0.0615307, 0.0658856, 0.0714645,
9778  0.0772477, 0.0848757, 0.0932491, 0.10285, 0.114444,
9779  0.127711, 0.143401, 0.161762, 0.183928, 0.208254,
9780  0.240259, 0.276524, 0.31934, 0.371314, 0.435938,
9781  0.514441, 0.611696, 0.728818, 0.883463, 1.0607,
9782  1.29694, 1.5708, 1.90645, 2.27314, 2.6307,
9783  2.88646, 2.84814, 2.40894, 1.68143, 1.31654,
9784  1.34057, 1.72453, 2.45155, 2.91255, 2.92779,
9785  2.6612, 2.28776, 1.91107, 1.57629, 1.2982,
9786  1.06913, 0.878785, 0.729317, 0.610956, 0.512279,
9787  0.435778, 0.370577, 0.318241, 0.274507, 0.23765,
9788  0.208169, 0.183277, 0.161049, 0.142938, 0.127273,
9789  0.11366, 0.102004, 0.092204, 0.0840345, 0.0763406,
9790  0.0705673, 0.0649819, 0.0609977, 0.0573242, 0.0544007,
9791  0.0515215, 0.0499562, 0.0484863, 0.0476272, 0.0471822,
9792  0.0471475, 0.0476158, 0.0484912, 0.0498792, 0.0516889,
9793  0.054281, 0.0573257, 0.060664, 0.0650555, 0.0704292,
9794  0.076678, 0.083773, 0.0922745, 0.102233, 0.113755,
9795  0.126829, 0.142263, 0.161214, 0.182696, 0.208973,
9796  0.238947, 0.274858, 0.318617, 0.371141, 0.434725,
9797  0.514875, 0.608207, 0.734141, 0.879193, 1.06895,
9798  1.29715, 1.5866, 1.92462, 2.29243, 2.67081,
9799  2.92398, 2.90103, 2.44882, 1.71901, 1.33728,
9800  1.35594, 1.74728, 2.49727, 2.95076, 2.97128,
9801  2.68105, 2.31222, 1.93689, 1.59095, 1.30304,
9802  1.06896, 0.878911, 0.731407, 0.610129, 0.5116,
9803  0.434153, 0.370263, 0.317848, 0.272822, 0.237884,
9804  0.2065, 0.181167, 0.159588, 0.141932, 0.125667,
9805  0.112134, 0.100943, 0.0916263, 0.0830904, 0.0757785,
9806  0.0696533, 0.0644698, 0.059901, 0.0564495, 0.0535626,
9807  0.0511611, 0.0491681, 0.0478175, 0.0469695, 0.0467289,
9808  0.0466122, 0.0468596, 0.0479662, 0.0493217, 0.0511173,
9809  0.0537937, 0.0564681, 0.0603971, 0.0647146, 0.0698988,
9810  0.0758632, 0.0829249, 0.0913926, 0.101293, 0.112306,
9811  0.126254, 0.141632, 0.159606, 0.181991, 0.207159,
9812  0.237183, 0.273839, 0.317775, 0.36795, 0.434359,
9813  0.511142, 0.606972, 0.730351, 0.885309, 1.06596,
9814  1.30765, 1.58525, 1.93126, 2.30574, 2.69426,
9815  2.96359, 2.93519, 2.49932, 1.75184, 1.35609,
9816  1.37821, 1.78295, 2.54673, 3.00352, 2.99157,
9817  2.71243, 2.3234, 1.93468, 1.59386, 1.30435,
9818  1.07043, 0.883856, 0.726629, 0.609534, 0.511791,
9819  0.433635, 0.368678, 0.317693, 0.273614, 0.237323,
9820  0.206253, 0.180249, 0.159348, 0.140501, 0.125081,
9821  0.111568, 0.100454, 0.090063, 0.0822645, 0.0751185,
9822  0.0686367, 0.0639669, 0.0595815, 0.0559316, 0.0528644,
9823  0.0505777, 0.0486384, 0.0474183, 0.0462416, 0.0458259,
9824  0.0460673, 0.0462496, 0.0473481, 0.0487513, 0.0505369,
9825  0.0527355, 0.0558249, 0.0595807, 0.0637922, 0.0689982,
9826  0.0751036, 0.0822653, 0.0908641, 0.100308, 0.111868,
9827  0.124502, 0.140447, 0.159379, 0.180503, 0.207179,
9828  0.236262, 0.272881, 0.316356, 0.369441, 0.433757,
9829  0.510189, 0.612207, 0.730057, 0.883883, 1.06779,
9830  1.30818, 1.60051, 1.93425, 2.3303, 2.73051,
9831  2.99011, 2.98931, 2.53443, 1.77604, 1.37207,
9832  1.39543, 1.81272, 2.57468, 3.04256, 3.03616,
9833  2.7468, 2.34143, 1.9482, 1.60167, 1.309,
9834  1.06986, 0.881755, 0.730248, 0.61199, 0.510883,
9835  0.431038, 0.36709, 0.31536, 0.27066, 0.236015,
9836  0.205575, 0.180075, 0.158483, 0.139716, 0.124276,
9837  0.110943, 0.0995189, 0.0897427, 0.0812998, 0.0740356,
9838  0.0683709, 0.0630182, 0.0587777, 0.055105, 0.0522711,
9839  0.0496291, 0.0481427, 0.0468249, 0.0456292, 0.0454012,
9840  0.0454633, 0.0457748, 0.0468295, 0.0480036, 0.049782,
9841  0.0521064, 0.0551141, 0.0588166, 0.0629793, 0.067926,
9842  0.0742609, 0.0814302, 0.0896531, 0.0998183, 0.11016,
9843  0.124125, 0.139612, 0.157501, 0.180178, 0.205469,
9844  0.23544, 0.27245, 0.315601, 0.3681, 0.432312,
9845  0.510647, 0.608775, 0.72913, 0.882125, 1.07165,
9846  1.30143, 1.59717, 1.94578, 2.34659, 2.75454,
9847  3.02936, 3.05154, 2.58592, 1.81832, 1.39904,
9848  1.42345, 1.84959, 2.63559, 3.08045, 3.08689,
9849  2.78401, 2.37243, 1.96141, 1.60815, 1.31776,
9850  1.07744, 0.879151, 0.73273, 0.607262, 0.511993,
9851  0.430565, 0.367336, 0.315404, 0.270732, 0.235101,
9852  0.204107, 0.17883, 0.157071, 0.139358, 0.123363,
9853  0.110197, 0.0985748, 0.0888275, 0.0806695, 0.0736581,
9854  0.0675317, 0.0625049, 0.0583381, 0.0545921, 0.0516,
9855  0.0492058, 0.047493, 0.0461306, 0.0450732, 0.0446328,
9856  0.0445017, 0.0451956, 0.0459056, 0.0474068, 0.0494361,
9857  0.0517472, 0.0544831, 0.058189, 0.06237, 0.0675359,
9858  0.0738293, 0.0807915, 0.0891761, 0.0987678, 0.109746,
9859  0.123254, 0.139225, 0.15669, 0.178974, 0.204668,
9860  0.235822, 0.270331, 0.314813, 0.367259, 0.431149,
9861  0.508694, 0.608787, 0.729679, 0.883521, 1.07745,
9862  1.31537, 1.61065, 1.96291, 2.36458, 2.783,
9863  3.08323, 3.09326, 2.62798, 1.84818, 1.42318,
9864  1.43914, 1.8756, 2.66962, 3.13109, 3.11383,
9865  2.81358, 2.37515, 1.97447, 1.61226, 1.31173,
9866  1.07233, 0.879749, 0.730206, 0.608325, 0.510837,
9867  0.430252, 0.366085, 0.312211, 0.269181, 0.233359,
9868  0.20389, 0.17841, 0.156508, 0.137569, 0.122408,
9869  0.108994, 0.0977867, 0.0878262, 0.0798951, 0.0730526,
9870  0.0668301, 0.0617027, 0.0573665, 0.0536869, 0.0510635,
9871  0.0485995, 0.0468444, 0.0452589, 0.0446008, 0.0442267,
9872  0.0442119, 0.0447632, 0.0454031, 0.0468147, 0.0488062,
9873  0.0509526, 0.054035, 0.0574153, 0.061716, 0.0670715,
9874  0.0727155, 0.0796255, 0.0880279, 0.0978069, 0.109616,
9875  0.12224, 0.137567, 0.155961, 0.177198, 0.203004,
9876  0.233123, 0.269874, 0.314213, 0.366983, 0.431854,
9877  0.50898, 0.604821, 0.730339, 0.884863, 1.07159,
9878  1.31866, 1.61603, 1.97432, 2.37738, 2.80045,
9879  3.12731, 3.12994, 2.67603, 1.87956, 1.43755,
9880  1.4627, 1.90557, 2.71709, 3.18066, 3.15231,
9881  2.81875, 2.3938, 1.9813, 1.62216, 1.32477,
9882  1.07593, 0.883894, 0.730865, 0.606179, 0.508241,
9883  0.429707, 0.366127, 0.312693, 0.268878, 0.232791,
9884  0.202249, 0.176951, 0.155866, 0.137282, 0.121677,
9885  0.1083, 0.0968582, 0.0871365, 0.0789884, 0.0716845,
9886  0.0658681, 0.0609386, 0.0568777, 0.0534471, 0.0502807,
9887  0.0481854, 0.0462137, 0.0449024, 0.044099, 0.0440048,
9888  0.0435747, 0.04398, 0.0447571, 0.0464292, 0.0479326,
9889  0.0502738, 0.0533739, 0.0567068, 0.0608242, 0.0664774,
9890  0.072086, 0.0791638, 0.0869809, 0.0968754, 0.108303,
9891  0.121796, 0.13702, 0.155385, 0.176096, 0.202645,
9892  0.231524, 0.268134, 0.312601, 0.362415, 0.43095,
9893  0.508428, 0.60513, 0.727327, 0.886289, 1.07535,
9894  1.31125, 1.62518, 1.98051, 2.40059, 2.82382,
9895  3.15907, 3.20549, 2.7253, 1.91081, 1.46584,
9896  1.49111, 1.94306, 2.75463, 3.23571, 3.19436,
9897  2.85456, 2.42153, 1.98525, 1.62583, 1.32248,
9898  1.079, 0.883139, 0.731548, 0.605653, 0.507345,
9899  0.428956, 0.364855, 0.311643, 0.267568, 0.23079,
9900  0.200445, 0.175583, 0.154128, 0.135964, 0.120072,
9901  0.107718, 0.0962271, 0.086306, 0.0783032, 0.0713138,
9902  0.0656038, 0.0602835, 0.0560815, 0.0526234, 0.0497457,
9903  0.0474419, 0.0457638, 0.0442328, 0.0435183, 0.0429879,
9904  0.0431354, 0.0437356, 0.0443499, 0.0455159, 0.0476394,
9905  0.0498029, 0.0526894, 0.0560212, 0.0606735, 0.0654589,
9906  0.0714092, 0.0782681, 0.0866789, 0.0959274, 0.107184,
9907  0.12052, 0.13646, 0.153546, 0.176067, 0.200453,
9908  0.23175, 0.267195, 0.312074, 0.364624, 0.428967,
9909  0.507417, 0.607387, 0.72976, 0.883612, 1.07405,
9910  1.32667, 1.6283, 1.98973, 2.40442, 2.85202,
9911  3.19676, 3.22603, 2.76987, 1.94147, 1.48992,
9912  1.50824, 1.98274, 2.83677, 3.27853, 3.21476,
9913  2.88458, 2.43304, 1.99619, 1.63288, 1.32523,
9914  1.0776, 0.885759, 0.726625, 0.60494, 0.509244,
9915  0.428232, 0.3647, 0.310278, 0.266515, 0.23122,
9916  0.200251, 0.174783, 0.153538, 0.135908, 0.11963,
9917  0.106535, 0.0951477, 0.0855277, 0.0777423, 0.070446,
9918  0.0646277, 0.059718, 0.0555881, 0.0520282, 0.0492123,
9919  0.0468154, 0.045228, 0.0438855, 0.0429486, 0.0424186,
9920  0.0426718, 0.0429517, 0.0439983, 0.0450256, 0.046958,
9921  0.0493046, 0.0519527, 0.0555385, 0.0598274, 0.0648755,
9922  0.0707678, 0.0773289, 0.0858686, 0.0953383, 0.1062,
9923  0.119445, 0.135165, 0.153074, 0.174814, 0.199949,
9924  0.230536, 0.2659, 0.311471, 0.361494, 0.427412,
9925  0.508401, 0.606777, 0.72502, 0.882857, 1.07417,
9926  1.32751, 1.62529, 2.00289, 2.43901, 2.88511,
9927  3.23655, 3.27497, 2.81162, 1.976, 1.5073,
9928  1.53165, 2.00694, 2.85971, 3.33335, 3.27124,
9929  2.90325, 2.45996, 2.01343, 1.64263, 1.32677,
9930  1.07796, 0.882971, 0.732139, 0.604787, 0.50625,
9931  0.42793, 0.361194, 0.307822, 0.265503, 0.229137,
9932  0.199614, 0.173731, 0.15167, 0.135079, 0.118366,
9933  0.105524, 0.0945273, 0.0848833, 0.0766708, 0.0697196,
9934  0.0640969, 0.0589958, 0.0549971, 0.0515867, 0.0484871,
9935  0.0461237, 0.0444612, 0.0433387, 0.0425166, 0.0420567,
9936  0.0420659, 0.0423984, 0.0432578, 0.0444311, 0.0460719,
9937  0.0485408, 0.0514223, 0.0547816, 0.0591964, 0.0642098,
9938  0.0698702, 0.0771821, 0.0849474, 0.0943038, 0.105342,
9939  0.118826, 0.134461, 0.152415, 0.174126, 0.19902,
9940  0.230407, 0.265169, 0.310117, 0.361457, 0.426802,
9941  0.504771, 0.603525, 0.731643, 0.886178, 1.08299,
9942  1.32267, 1.6399, 2.01288, 2.45252, 2.91153,
9943  3.26612, 3.3201, 2.87265, 2.00692, 1.53668,
9944  1.56042, 2.04012, 2.92422, 3.38416, 3.29478,
9945  2.93018, 2.47, 2.02427, 1.65328, 1.32911,
9946  1.07976, 0.883097, 0.729107, 0.604817, 0.505221,
9947  0.42599, 0.361529, 0.309006, 0.263219, 0.228721,
9948  0.197749, 0.172612, 0.151323, 0.133335, 0.117548,
9949  0.105128, 0.0937365, 0.0838652, 0.0760188, 0.0690474,
9950  0.0633015, 0.058454, 0.0542081, 0.0508424, 0.0480371,
9951  0.0457947, 0.0439838, 0.0428369, 0.0418832, 0.041386,
9952  0.0413929, 0.0419973, 0.0426901, 0.0440311, 0.0457615,
9953  0.0481458, 0.0509049, 0.0543927, 0.0585413, 0.0633743,
9954  0.0690687, 0.0761061, 0.0839956, 0.0938177, 0.104494,
9955  0.117857, 0.13287, 0.150961, 0.172205, 0.197766,
9956  0.227513, 0.263343, 0.308035, 0.360918, 0.425307,
9957  0.503894, 0.607658, 0.730663, 0.885366, 1.0767,
9958  1.33039, 1.64264, 2.02731, 2.46754, 2.92535,
9959  3.30707, 3.36879, 2.91877, 2.04307, 1.55225,
9960  1.58228, 2.07848, 2.97648, 3.42921, 3.34811,
9961  2.95675, 2.48272, 2.03535, 1.64131, 1.33636,
9962  1.08511, 0.886773, 0.727052, 0.603708, 0.504576,
9963  0.423705, 0.361275, 0.306376, 0.262977, 0.227805,
9964  0.197541, 0.171749, 0.150402, 0.131987, 0.117061,
9965  0.103625, 0.0925975, 0.0833894, 0.0752325, 0.0686626,
9966  0.062566, 0.0580563, 0.0536945, 0.0502452, 0.0477058,
9967  0.0452322, 0.0435579, 0.0421654, 0.0415668, 0.0410566,
9968  0.0408167, 0.0413708, 0.0422287, 0.0435087, 0.0451327,
9969  0.0474587, 0.0502418, 0.0537067, 0.0578633, 0.0626845,
9970  0.0685646, 0.0754907, 0.0836124, 0.0928522, 0.10399,
9971  0.117053, 0.132136, 0.15034, 0.171907, 0.197684,
9972  0.227663, 0.262594, 0.306641, 0.360448, 0.424914,
9973  0.505472, 0.60346, 0.73154, 0.88537, 1.08189,
9974  1.33523, 1.6473, 2.04139, 2.47852, 2.95839,
9975  3.34603, 3.42623, 2.96533, 2.0828, 1.5746,
9976  1.59901, 2.11466, 3.00677, 3.48098, 3.37361,
9977  2.98774, 2.50212, 2.04888, 1.64702, 1.33896,
9978  1.08585, 0.886998, 0.727525, 0.604905, 0.503718,
9979  0.424319, 0.359567, 0.306085, 0.262827, 0.226569,
9980  0.196656, 0.170669, 0.149773, 0.132057, 0.116509,
9981  0.102943, 0.0924587, 0.0826191, 0.074757, 0.0678832,
9982  0.0619624, 0.0570794, 0.053256, 0.0496714, 0.0471147,
9983  0.0445585, 0.0430985, 0.0415363, 0.0409311, 0.040358,
9984  0.0403771, 0.0409632, 0.0417395, 0.042838, 0.0445219,
9985  0.0469424, 0.0496782, 0.0530955, 0.0572628, 0.0615818,
9986  0.0676613, 0.0744726, 0.0823564, 0.0922006, 0.103475,
9987  0.116093, 0.131538, 0.149371, 0.170862, 0.196267,
9988  0.226865, 0.262516, 0.306178, 0.360178, 0.423366,
9989  0.505316, 0.603879, 0.729805, 0.886235, 1.08629,
9990  1.33508, 1.65438, 2.04465, 2.5018, 2.98843,
9991  3.38853, 3.46515, 3.00875, 2.10284, 1.59855,
9992  1.61641, 2.14042, 3.06494, 3.54049, 3.42362,
9993  3.00919, 2.51937, 2.03561, 1.66183, 1.3454,
9994  1.08486, 0.886071, 0.727193, 0.601839, 0.503917,
9995  0.422493, 0.357311, 0.304567, 0.260985, 0.224874,
9996  0.195704, 0.169972, 0.148435, 0.129666, 0.11496,
9997  0.102011, 0.0914318, 0.08185, 0.0739784, 0.0670543,
9998  0.0615124, 0.0565719, 0.0524637, 0.0491582, 0.0462263,
9999  0.0441207, 0.0424754, 0.0412739, 0.0404057, 0.0399508,
10000  0.040048, 0.0402993, 0.041158, 0.0424274, 0.0441928,
10001  0.0462408, 0.0489866, 0.0525403, 0.0563823, 0.0614117,
10002  0.0671313, 0.074044, 0.0819191, 0.0914246, 0.101986,
10003  0.115388, 0.13032, 0.14865, 0.169767, 0.196251,
10004  0.225331, 0.262008, 0.303604, 0.358331, 0.422764,
10005  0.503722, 0.60375, 0.728875, 0.887456, 1.08567,
10006  1.34135, 1.65281, 2.0509, 2.52303, 3.0121,
10007  3.42159, 3.53008, 3.06014, 2.14475, 1.6198,
10008  1.64361, 2.18005, 3.1117, 3.56655, 3.4576,
10009  3.04167, 2.52247, 2.06705, 1.65697, 1.34174,
10010  1.09042, 0.886315, 0.726877, 0.60121, 0.503959,
10011  0.420972, 0.358017, 0.304914, 0.25968, 0.224359,
10012  0.194132, 0.168747, 0.147807, 0.129247, 0.114647,
10013  0.101274, 0.0903516, 0.0810996, 0.0730065, 0.0664637,
10014  0.0607567, 0.0558287, 0.0518284, 0.0484886, 0.0458275,
10015  0.0435961, 0.0420552, 0.0406875, 0.0398688, 0.0395397,
10016  0.0397792, 0.0397647, 0.040702, 0.0419359, 0.0436815,
10017  0.0457279, 0.0487555, 0.0520645, 0.0556255, 0.0610133,
10018  0.0664739, 0.073212, 0.0813486, 0.0900733, 0.10132,
10019  0.114699, 0.129413, 0.147142, 0.16831, 0.194545,
10020  0.224257, 0.260534, 0.304032, 0.357851, 0.42178,
10021  0.502876, 0.602598, 0.726076, 0.888973, 1.08908,
10022  1.33903, 1.66051, 2.06759, 2.53615, 3.03735,
10023  3.4682, 3.57206, 3.11991, 2.18474, 1.64289,
10024  1.67041, 2.21738, 3.15476, 3.62549, 3.49521,
10025  3.06266, 2.54792, 2.06315, 1.67286, 1.33892,
10026  1.0867, 0.884542, 0.726801, 0.602392, 0.502128,
10027  0.423824, 0.355921, 0.302394, 0.260001, 0.223749,
10028  0.192935, 0.168165, 0.14671, 0.129048, 0.112818,
10029  0.100695, 0.0894967, 0.0800888, 0.0722191, 0.0659207,
10030  0.0600612, 0.0553589, 0.051367, 0.0479109, 0.0452669,
10031  0.0431049, 0.0414539, 0.0401094, 0.0395371, 0.0388427,
10032  0.0389804, 0.0394452, 0.0403725, 0.0415321, 0.0430493,
10033  0.0452723, 0.0481046, 0.0514128, 0.0552994, 0.0600276,
10034  0.0660389, 0.0728234, 0.0805685, 0.089637, 0.100427,
10035  0.113415, 0.12855, 0.146937, 0.168021, 0.192532,
10036  0.222702, 0.260024, 0.303556, 0.356477, 0.421524,
10037  0.502296, 0.601252, 0.727285, 0.886956, 1.09076,
10038  1.34573, 1.66538, 2.06794, 2.54422, 3.06208,
10039  3.49659, 3.62662, 3.17276, 2.21636, 1.66531,
10040  1.68631, 2.25551, 3.21961, 3.67415, 3.53565,
10041  3.07828, 2.56982, 2.0858, 1.67409, 1.34292,
10042  1.08552, 0.886152, 0.730118, 0.597866, 0.501694,
10043  0.419675, 0.354112, 0.300641, 0.257898, 0.222904,
10044  0.191822, 0.167336, 0.14612, 0.127592, 0.111979,
10045  0.0997443, 0.0892996, 0.0795515, 0.0717527, 0.0652469,
10046  0.0593615, 0.0546219, 0.0508679, 0.0475197, 0.0446904,
10047  0.0426592, 0.041052, 0.0398158, 0.0388648, 0.0385716,
10048  0.0386372, 0.0389541, 0.0396259, 0.0409082, 0.0425986,
10049  0.0447762, 0.0474427, 0.0508367, 0.0546684, 0.0594217,
10050  0.0652099, 0.0717989, 0.0794402, 0.0888733, 0.0999021,
10051  0.112849, 0.127926, 0.145672, 0.166558, 0.191564,
10052  0.222023, 0.258836, 0.30236, 0.353948, 0.420156,
10053  0.501118, 0.597085, 0.725272, 0.884295, 1.08847,
10054  1.35322, 1.67345, 2.08007, 2.5611, 3.08008,
10055  3.5259, 3.68313, 3.21259, 2.26671, 1.69093,
10056  1.71917, 2.28798, 3.26619, 3.72472, 3.58915,
10057  3.10815, 2.58344, 2.08424, 1.67758, 1.35047,
10058  1.09278, 0.883578, 0.731773, 0.600066, 0.5023,
10059  0.418661, 0.355406, 0.3004, 0.257801, 0.222371,
10060  0.190774, 0.166064, 0.145023, 0.126557, 0.111494,
10061  0.0990042, 0.0884066, 0.079078, 0.0713226, 0.0645949,
10062  0.0587243, 0.0539733, 0.0502716, 0.0471792, 0.0443034,
10063  0.0423618, 0.0404282, 0.0391539, 0.0384134, 0.0379412,
10064  0.038204, 0.0384954, 0.0393773, 0.0405193, 0.041945,
10065  0.0443362, 0.0468787, 0.0502643, 0.0541433, 0.0587453,
10066  0.0646315, 0.0710828, 0.078787, 0.0881004, 0.0990762,
10067  0.111947, 0.126649, 0.144714, 0.166197, 0.190849,
10068  0.2194, 0.257228, 0.299988, 0.352981, 0.419,
10069  0.498998, 0.6011, 0.724883, 0.887166, 1.09196,
10070  1.34701, 1.68155, 2.09163, 2.56674, 3.11961,
10071  3.57527, 3.72075, 3.26294, 2.28452, 1.72038,
10072  1.74729, 2.3253, 3.32011, 3.76963, 3.61202,
10073  3.13785, 2.58515, 2.09203, 1.68309, 1.35386,
10074  1.09084, 0.886594, 0.723624, 0.600924, 0.497755,
10075  0.418039, 0.353509, 0.30075, 0.256093, 0.219856,
10076  0.190135, 0.165272, 0.14406, 0.126035, 0.110927,
10077  0.0978149, 0.0874853, 0.0783211, 0.0703278, 0.0637236,
10078  0.0581871, 0.0536, 0.0497595, 0.0463437, 0.0436826,
10079  0.0416186, 0.0400068, 0.0387962, 0.0379647, 0.0376351,
10080  0.0374527, 0.0380775, 0.0387813, 0.0401803, 0.0416083,
10081  0.0436864, 0.0465081, 0.0496554, 0.0535393, 0.0582934,
10082  0.0637991, 0.0704544, 0.0782322, 0.0872699, 0.0981981,
10083  0.111033, 0.125803, 0.14406, 0.164902, 0.190214,
10084  0.220495, 0.256472, 0.299646, 0.352365, 0.419118,
10085  0.498315, 0.600894, 0.727456, 0.890746, 1.0911,
10086  1.35027, 1.68454, 2.10104, 2.58884, 3.143,
10087  3.61705, 3.77389, 3.31437, 2.3187, 1.7412,
10088  1.75833, 2.3682, 3.37345, 3.82753, 3.62334,
10089  3.16971, 2.60757, 2.11455, 1.68768, 1.35434,
10090  1.09137, 0.888523, 0.725844, 0.597447, 0.497961,
10091  0.417056, 0.351538, 0.298888, 0.256375, 0.219954,
10092  0.188542, 0.164035, 0.143105, 0.124943, 0.110232,
10093  0.0968765, 0.0863929, 0.0773964, 0.0695434, 0.0632161,
10094  0.057641, 0.0528675, 0.0491048, 0.045901, 0.0431511,
10095  0.0411447, 0.0396492, 0.0384557, 0.0375906, 0.0370777,
10096  0.0371316, 0.0376328, 0.0384393, 0.0395691, 0.0412663,
10097  0.0431496, 0.045845, 0.0489713, 0.053118, 0.0577669,
10098  0.0630102, 0.069564, 0.0772938, 0.0869416, 0.0972467,
10099  0.110144, 0.125319, 0.143068, 0.164398, 0.18858,
10100  0.219414, 0.255562, 0.297965, 0.351756, 0.41614,
10101  0.497442, 0.598168, 0.724074, 0.885709, 1.09207,
10102  1.35443, 1.68548, 2.10969, 2.61804, 3.16478,
10103  3.64415, 3.836, 3.36608, 2.36309, 1.76856,
10104  1.79, 2.40525, 3.4408, 3.87909, 3.68816,
10105  3.1687, 2.61197, 2.11055, 1.6953, 1.35927,
10106  1.08859, 0.88778, 0.722496, 0.594743, 0.497065,
10107  0.415671, 0.351011, 0.297488, 0.254891, 0.217774,
10108  0.187432, 0.162194, 0.142074, 0.12327, 0.108893,
10109  0.0967194, 0.0858701, 0.076675, 0.0691168, 0.0627539,
10110  0.0570073, 0.0525254, 0.0487849, 0.0454107, 0.0428727,
10111  0.0406127, 0.0390883, 0.0379161, 0.0372342, 0.0366773,
10112  0.036715, 0.0370539, 0.0377897, 0.0389766, 0.0405319,
10113  0.0427858, 0.0453573, 0.0485778, 0.0524179, 0.057347,
10114  0.0626407, 0.0690458, 0.076686, 0.0855807, 0.0965333,
10115  0.10936, 0.124246, 0.142211, 0.162591, 0.18887,
10116  0.217171, 0.253515, 0.297422, 0.351187, 0.416034,
10117  0.496108, 0.596082, 0.725466, 0.886171, 1.09295,
10118  1.35694, 1.69059, 2.1188, 2.62525, 3.17532,
10119  3.69182, 3.88675, 3.42766, 2.39844, 1.78476,
10120  1.80424, 2.44212, 3.48856, 3.91577, 3.70852,
10121  3.21951, 2.64488, 2.11752, 1.69888, 1.35798,
10122  1.09131, 0.884001, 0.72457, 0.596166, 0.496306,
10123  0.417841, 0.349094, 0.297246, 0.253527, 0.217303,
10124  0.187164, 0.162571, 0.141206, 0.123153, 0.108472,
10125  0.0958085, 0.0852006, 0.0759753, 0.068324, 0.0619894,
10126  0.0563667, 0.0517056, 0.0481748, 0.0448033, 0.0422051,
10127  0.0401003, 0.0388156, 0.0374537, 0.03663, 0.036289,
10128  0.0364559, 0.0365965, 0.0375784, 0.0386441, 0.0399916,
10129  0.0421929, 0.0447205, 0.0478114, 0.0518513, 0.0567404,
10130  0.0618281, 0.0685059, 0.0759394, 0.0850744, 0.0958969,
10131  0.108636, 0.12295, 0.140898, 0.162324, 0.188037,
10132  0.216969, 0.254369, 0.29845, 0.348497, 0.416049,
10133  0.496893, 0.595487, 0.724989, 0.882563, 1.09395,
10134  1.36219, 1.70248, 2.12617, 2.63571, 3.21305,
10135  3.72816, 3.93487, 3.46922, 2.44309, 1.8083,
10136  1.83701, 2.47475, 3.54145, 3.97171, 3.77412,
10137  3.23205, 2.65897, 2.12936, 1.70375, 1.36008,
10138  1.09519, 0.886838, 0.7238, 0.593584, 0.493252,
10139  0.415519, 0.34894, 0.29659, 0.251959, 0.215719,
10140  0.186636, 0.161016, 0.140271, 0.122405, 0.107463,
10141  0.0949616, 0.0841322, 0.0754213, 0.0679046, 0.0614487,
10142  0.055921, 0.0513365, 0.0474705, 0.0443537, 0.0418577,
10143  0.0398627, 0.0382174, 0.0369822, 0.0361276, 0.0359028,
10144  0.0359565, 0.0362802, 0.0370155, 0.0382136, 0.039603,
10145  0.0417715, 0.0443583, 0.0475208, 0.0510639, 0.0559198,
10146  0.0611311, 0.0677059, 0.075059, 0.0843426, 0.0948049,
10147  0.107521, 0.122403, 0.140337, 0.161726, 0.185892,
10148  0.216325, 0.252287, 0.294785, 0.348653, 0.414478,
10149  0.495356, 0.59607, 0.72417, 0.888565, 1.08944,
10150  1.35899, 1.70077, 2.14155, 2.65297, 3.23342,
10151  3.76519, 3.96606, 3.53712, 2.48903, 1.8328,
10152  1.85831, 2.5006, 3.5999, 4.04377, 3.79804,
10153  3.2565, 2.66431, 2.14285, 1.71209, 1.36907,
10154  1.0949, 0.885442, 0.720345, 0.594328, 0.49329,
10155  0.413586, 0.347233, 0.294762, 0.251338, 0.214666,
10156  0.184358, 0.159796, 0.138607, 0.121649, 0.106566,
10157  0.0939912, 0.083577, 0.0747292, 0.0674573, 0.0608379,
10158  0.055341, 0.0508271, 0.0469622, 0.0439286, 0.0414947,
10159  0.0393659, 0.0376357, 0.0366094, 0.0358483, 0.0354777,
10160  0.0354512, 0.0358557, 0.0363639, 0.037743, 0.0394894,
10161  0.0413334, 0.0439221, 0.0470293, 0.0506662, 0.0552098,
10162  0.0606621, 0.0668328, 0.0750941, 0.083376, 0.0942829,
10163  0.106669, 0.121849, 0.139207, 0.160374, 0.185521,
10164  0.214809, 0.250799, 0.294657, 0.346272, 0.411508,
10165  0.49279, 0.594686, 0.723628, 0.885744, 1.08987,
10166  1.36713, 1.70622, 2.13206, 2.66948, 3.25576,
10167  3.80915, 4.03226, 3.58679, 2.52037, 1.86135,
10168  1.88777, 2.56584, 3.63739, 4.08388, 3.85445,
10169  3.28728, 2.68959, 2.14434, 1.71212, 1.36759,
10170  1.0995, 0.885572, 0.724989, 0.596345, 0.494502,
10171  0.412941, 0.345167, 0.293445, 0.250513, 0.213299,
10172  0.184095, 0.159256, 0.138738, 0.121066, 0.106004,
10173  0.0931664, 0.0833753, 0.0737645, 0.0664583, 0.060134,
10174  0.0547526, 0.0502742, 0.0467388, 0.043394, 0.0406322,
10175  0.0387737, 0.0372631, 0.0360594, 0.0352718, 0.0349805,
10176  0.0349821, 0.0353398, 0.0360754, 0.0373006, 0.0389186,
10177  0.0409876, 0.0434538, 0.0464936, 0.050156, 0.0548377,
10178  0.0601778, 0.0662577, 0.0739429, 0.0831774, 0.0934779,
10179  0.105925, 0.1208, 0.13811, 0.159332, 0.183608,
10180  0.213916, 0.249416, 0.292695, 0.345259, 0.411931,
10181  0.494449, 0.595148, 0.720444, 0.886682, 1.09791,
10182  1.3668, 1.71818, 2.13772, 2.67513, 3.27983,
10183  3.83024, 4.09384, 3.66165, 2.55582, 1.88252,
10184  1.90825, 2.59495, 3.69251, 4.13616, 3.88023,
10185  3.3053, 2.69833, 2.16507, 1.7103, 1.36449,
10186  1.09402, 0.883086, 0.722709, 0.594412, 0.491025,
10187  0.411134, 0.345202, 0.293316, 0.247855, 0.213127,
10188  0.182926, 0.157745, 0.13727, 0.11985, 0.105096,
10189  0.0929353, 0.0821467, 0.0735475, 0.065658, 0.0595716,
10190  0.0543431, 0.0497385, 0.0461306, 0.0428845, 0.0404293,
10191  0.0383009, 0.0367627, 0.0356695, 0.0349569, 0.0345842,
10192  0.0346598, 0.0349121, 0.0357058, 0.0366353, 0.038437,
10193  0.0402227, 0.042896, 0.0459666, 0.0496916, 0.0542627,
10194  0.0592044, 0.0658784, 0.0733763, 0.0820712, 0.0924923,
10195  0.105106, 0.119954, 0.13702, 0.158186, 0.182955,
10196  0.21301, 0.249136, 0.292934, 0.346436, 0.412304,
10197  0.493301, 0.592295, 0.724322, 0.886441, 1.09402,
10198  1.36472, 1.71038, 2.15397, 2.69548, 3.31055,
10199  3.88366, 4.13872, 3.70805, 2.59243, 1.91742,
10200  1.93224, 2.63349, 3.7785, 4.19423, 3.91005,
10201  3.32206, 2.71053, 2.16433, 1.71992, 1.36996,
10202  1.09645, 0.884375, 0.717325, 0.592227, 0.491829,
10203  0.408945, 0.344067, 0.292281, 0.248329, 0.211261,
10204  0.182265, 0.157141, 0.135659, 0.118718, 0.104572,
10205  0.0920255, 0.0812625, 0.0723472, 0.0651379, 0.0589664,
10206  0.05395, 0.0491841, 0.0454259, 0.0423454, 0.0398658,
10207  0.0378987, 0.0363119, 0.0352055, 0.0345304, 0.0342486,
10208  0.034247, 0.0347391, 0.0354879, 0.0364791, 0.0379892,
10209  0.0399462, 0.0422482, 0.0455457, 0.0492123, 0.0537483,
10210  0.0588681, 0.0651996, 0.072974, 0.0813383, 0.0917743,
10211  0.10418, 0.119615, 0.136179, 0.156709, 0.18129,
10212  0.211205, 0.247233, 0.290176, 0.345609, 0.409258,
10213  0.490895, 0.590564, 0.720784, 0.887749, 1.09518,
10214  1.36411, 1.72577, 2.15804, 2.71693, 3.33773,
10215  3.91901, 4.18009, 3.74754, 2.64155, 1.93346,
10216  1.96047, 2.67108, 3.82563, 4.23652, 3.96255,
10217  3.35612, 2.7234, 2.16508, 1.71603, 1.37448,
10218  1.09514, 0.883742, 0.719521, 0.591163, 0.490354,
10219  0.407401, 0.343679, 0.290662, 0.246706, 0.210125,
10220  0.180897, 0.156524, 0.135293, 0.117513, 0.103226,
10221  0.0909445, 0.0806802, 0.0720761, 0.0649259, 0.0583537,
10222  0.0530795, 0.0487788, 0.044822, 0.0417772, 0.0395859,
10223  0.037623, 0.0359301, 0.0348203, 0.0342519, 0.0338314,
10224  0.0338455, 0.0341989, 0.0349779, 0.035975, 0.0374413,
10225  0.0395832, 0.041987, 0.045061, 0.048574, 0.0531737,
10226  0.0583087, 0.0644595, 0.0713863, 0.0805387, 0.0911745,
10227  0.103612, 0.117991, 0.135463, 0.155891, 0.181012,
10228  0.210517, 0.247143, 0.290793, 0.343685, 0.408999,
10229  0.487021, 0.594046, 0.722385, 0.880394, 1.09903,
10230  1.37032, 1.71775, 2.1719, 2.72442, 3.34521,
10231  3.95134, 4.24041, 3.84103, 2.67479, 1.96302,
10232  1.98135, 2.71722, 3.89384, 4.29284, 4.00537,
10233  3.36427, 2.74321, 2.18615, 1.72028, 1.37339,
10234  1.09481, 0.884173, 0.719449, 0.592665, 0.488905,
10235  0.405906, 0.342792, 0.288853, 0.246633, 0.210032,
10236  0.180203, 0.15537, 0.134756, 0.117097, 0.103023,
10237  0.0905434, 0.0800156, 0.0714854, 0.063798, 0.0578111,
10238  0.0524141, 0.0481191, 0.0445764, 0.0415542, 0.0391226,
10239  0.0371071, 0.0355171, 0.0344969, 0.0338767, 0.0334004,
10240  0.0335046, 0.0338891, 0.0343997, 0.0357457, 0.0371542,
10241  0.0390399, 0.0416064, 0.0445627, 0.0481271, 0.0523398,
10242  0.0577589, 0.0639417, 0.0713699, 0.079921, 0.0904305,
10243  0.102637, 0.117231, 0.13445, 0.155417, 0.180641,
10244  0.210185, 0.246049, 0.289731, 0.342755, 0.408446,
10245  0.489053, 0.588898, 0.718412, 0.881706, 1.09922,
10246  1.36896, 1.73208, 2.1897, 2.71844, 3.3835,
10247  3.98322, 4.2962, 3.87157, 2.71963, 1.99098,
10248  2.00751, 2.75266, 3.9176, 4.36113, 4.03405,
10249  3.4083, 2.76205, 2.18794, 1.72875, 1.37435,
10250  1.09553, 0.883257, 0.719929, 0.589764, 0.488718,
10251  0.405628, 0.340929, 0.288442, 0.243965, 0.209121,
10252  0.179409, 0.154487, 0.133892, 0.116493, 0.101812,
10253  0.0893686, 0.0791359, 0.0706649, 0.0635642, 0.0572002,
10254  0.0520225, 0.0478228, 0.0440822, 0.0409891, 0.0386563,
10255  0.0367296, 0.0352382, 0.0341386, 0.0333693, 0.0331167,
10256  0.0330401, 0.0333204, 0.0342342, 0.0353766, 0.0366317,
10257  0.038797, 0.0410364, 0.0440365, 0.0475902, 0.0519596,
10258  0.0569318, 0.0632874, 0.0706016, 0.0793681, 0.0895036,
10259  0.101741, 0.116037, 0.133423, 0.154035, 0.179036,
10260  0.208778, 0.2449, 0.287909, 0.341343, 0.406589,
10261  0.488211, 0.589009, 0.716982, 0.882319, 1.10459,
10262  1.37642, 1.73198, 2.19062, 2.7489, 3.40476,
10263  4.0305, 4.34008, 3.93655, 2.75434, 2.01037,
10264  2.03843, 2.79782, 3.99676, 4.40159, 4.07477,
10265  3.42315, 2.76041, 2.19232, 1.73893, 1.37274,
10266  1.09819, 0.886983, 0.7153, 0.586488, 0.484211,
10267  0.405635, 0.340509, 0.286757, 0.243036, 0.207817,
10268  0.177514, 0.153307, 0.132679, 0.115545, 0.10084,
10269  0.0890697, 0.0787329, 0.0700552, 0.0627082, 0.0566355,
10270  0.0516786, 0.0471872, 0.0437143, 0.0405567, 0.0382616,
10271  0.0363473, 0.0347711, 0.0337777, 0.0331919, 0.0325738,
10272  0.032703, 0.0329086, 0.033701, 0.0348848, 0.0361828,
10273  0.0383013, 0.0406116, 0.043476, 0.047313, 0.0514982,
10274  0.0565383, 0.0627456, 0.0701455, 0.0785525, 0.0890845,
10275  0.100938, 0.115225, 0.133141, 0.153391, 0.177599,
10276  0.207738, 0.242729, 0.287576, 0.339031, 0.405616,
10277  0.487158, 0.587072, 0.722366, 0.885808, 1.09632,
10278  1.37585, 1.73682, 2.1949, 2.77113, 3.42559,
10279  4.07576, 4.38961, 3.99516, 2.78789, 2.0354,
10280  2.06423, 2.84005, 4.05414, 4.44754, 4.09975,
10281  3.47863, 2.78291, 2.19895, 1.73239, 1.37242,
10282  1.10206, 0.884661, 0.716479, 0.588822, 0.486209,
10283  0.404488, 0.337604, 0.285975, 0.242187, 0.206464,
10284  0.176667, 0.152227, 0.131206, 0.11463, 0.100033,
10285  0.0885214, 0.0777476, 0.0692304, 0.0620436, 0.0560193,
10286  0.0511413, 0.0467003, 0.0432659, 0.0402749, 0.0378589,
10287  0.0358565, 0.0344323, 0.0333421, 0.0326909, 0.0322077,
10288  0.0323083, 0.032592, 0.0333, 0.0342921, 0.0359281,
10289  0.0378632, 0.0401529, 0.0431595, 0.0466995, 0.0509678,
10290  0.0560342, 0.0620977, 0.0694676, 0.0779745, 0.0881622,
10291  0.100043, 0.114923, 0.13188, 0.152674, 0.177496,
10292  0.206911, 0.242812, 0.284631, 0.339444, 0.403779,
10293  0.485908, 0.589436, 0.714774, 0.882567, 1.09787,
10294  1.37908, 1.73688, 2.19393, 2.77168, 3.44207,
10295  4.09235, 4.44239, 4.04819, 2.8381, 2.06439,
10296  2.09492, 2.87419, 4.10554, 4.49676, 4.1394,
10297  3.47696, 2.79081, 2.19959, 1.7424, 1.37453,
10298  1.09842, 0.886746, 0.718, 0.588387, 0.485667,
10299  0.403729, 0.338299, 0.283766, 0.24196, 0.205505,
10300  0.17606, 0.151944, 0.130924, 0.113678, 0.0989477,
10301  0.0872772, 0.0771932, 0.0687145, 0.0614678, 0.0556358,
10302  0.0504569, 0.0462885, 0.0427721, 0.0395733, 0.037421,
10303  0.0356406, 0.0340874, 0.0330155, 0.0325129, 0.0318469,
10304  0.0319462, 0.0322559, 0.0328204, 0.0341655, 0.0353452,
10305  0.0373275, 0.0396915, 0.0426783, 0.0461188, 0.0504862,
10306  0.0553696, 0.061599, 0.0686916, 0.077377, 0.0874499,
10307  0.0991815, 0.1136, 0.130751, 0.151532, 0.17572,
10308  0.205066, 0.240847, 0.28423, 0.33796, 0.402699,
10309  0.48463, 0.587205, 0.718477, 0.888153, 1.09966,
10310  1.37993, 1.74215, 2.20396, 2.79612, 3.48979,
10311  4.14783, 4.49539, 4.09044, 2.87408, 2.09329,
10312  2.11595, 2.91598, 4.16255, 4.56235, 4.18001,
10313  3.50477, 2.80422, 2.20736, 1.75022, 1.38055,
10314  1.10051, 0.882377, 0.72012, 0.586347, 0.482308,
10315  0.401243, 0.33618, 0.28409, 0.240163, 0.204051,
10316  0.174626, 0.150468, 0.130207, 0.113248, 0.0987864,
10317  0.0867994, 0.0763978, 0.06843, 0.0609347, 0.0551294,
10318  0.0498445, 0.0455243, 0.0420956, 0.0394334, 0.0368906,
10319  0.0351413, 0.0336325, 0.0326014, 0.0319102, 0.0315986,
10320  0.0316104, 0.0317996, 0.0326419, 0.0337716, 0.0351269,
10321  0.036969, 0.039388, 0.0423084, 0.0458034, 0.0500409,
10322  0.0547976, 0.0609279, 0.0677631, 0.0763284, 0.0864055,
10323  0.0985089, 0.112798, 0.129853, 0.150742, 0.17553,
10324  0.204496, 0.239842, 0.28214, 0.336067, 0.401613,
10325  0.484577, 0.585741, 0.714873, 0.880806, 1.09611,
10326  1.38199, 1.74011, 2.21831, 2.80519, 3.48647,
10327  4.18184, 4.56086, 4.16773, 2.92766, 2.12239,
10328  2.14605, 2.97761, 4.21814, 4.61539, 4.21658,
10329  3.51593, 2.82044, 2.21804, 1.75306, 1.38092,
10330  1.10324, 0.879669, 0.711914, 0.5878, 0.48325,
10331  0.400602, 0.335715, 0.282403, 0.2382, 0.203614,
10332  0.173998, 0.149446, 0.129314, 0.112266, 0.0981577,
10333  0.0857294, 0.0756813, 0.0672766, 0.0603056, 0.0543553,
10334  0.049517, 0.045241, 0.0417029, 0.0389335, 0.0367358,
10335  0.0348325, 0.0332456, 0.0323337, 0.0315765, 0.0312646,
10336  0.0311835, 0.0316988, 0.0322792, 0.0332925, 0.0346494,
10337  0.0365127, 0.0390223, 0.041871, 0.0453596, 0.0493488,
10338  0.054276, 0.0603079, 0.0674836, 0.0757431, 0.0861401,
10339  0.0977333, 0.111946, 0.129447, 0.150083, 0.173966,
10340  0.202942, 0.237994, 0.283952, 0.335911, 0.401944,
10341  0.481328, 0.584002, 0.712936, 0.879849, 1.10169,
10342  1.38102, 1.74926, 2.23115, 2.817, 3.51519,
10343  4.22813, 4.61634, 4.21532, 2.96689, 2.14786,
10344  2.17639, 3.01759, 4.25307, 4.6674, 4.23431,
10345  3.543, 2.82728, 2.22959, 1.7493, 1.38135,
10346  1.10284, 0.882487, 0.714168, 0.583468, 0.481729,
10347  0.400873, 0.334599, 0.282011, 0.238254, 0.201958,
10348  0.172931, 0.14816, 0.128648, 0.111165, 0.0968387,
10349  0.0852173, 0.0752794, 0.0670318, 0.0596707, 0.0538066,
10350  0.0489031, 0.0448082, 0.0413841, 0.0384641, 0.0360201,
10351  0.0343203, 0.0330127, 0.0318617, 0.0312657, 0.0309655,
10352  0.0309609, 0.0312084, 0.0319346, 0.0329146, 0.0343567,
10353  0.0361222, 0.0384279, 0.0413414, 0.0447793, 0.0489526,
10354  0.0537864, 0.0596459, 0.0671225, 0.0752363, 0.0852379,
10355  0.0974035, 0.110985, 0.128262, 0.148753, 0.173275,
10356  0.201533, 0.237908, 0.281376, 0.335071, 0.398128,
10357  0.482049, 0.585851, 0.714507, 0.884508, 1.09929,
10358  1.38176, 1.75156, 2.22603, 2.82134, 3.53344,
10359  4.23805, 4.6645, 4.2801, 3.01767, 2.17119,
10360  2.2046, 3.06306, 4.34901, 4.72326, 4.27416,
10361  3.5741, 2.84729, 2.23627, 1.75056, 1.38446,
10362  1.08833, 0.880951, 0.708471, 0.583392, 0.477561,
10363  0.398219, 0.330636, 0.279625, 0.236928, 0.200831,
10364  0.172721, 0.148038, 0.127149, 0.11044, 0.0965486,
10365  0.0842927, 0.0742789, 0.0664221, 0.0593802, 0.0532126,
10366  0.0483673, 0.0443491, 0.040885, 0.0380555, 0.0356951,
10367  0.034166, 0.0324996, 0.0315796, 0.0308151, 0.0305793,
10368  0.0305869, 0.0308337, 0.0314264, 0.0326276, 0.0338571,
10369  0.0359203, 0.0382494, 0.0409479, 0.0444982, 0.0484173,
10370  0.0534166, 0.0594313, 0.0661117, 0.0745477, 0.0846603,
10371  0.0962466, 0.110077, 0.127156, 0.148064, 0.17211,
10372  0.201201, 0.237322, 0.280857, 0.332646, 0.398501,
10373  0.480047, 0.583926, 0.711751, 0.877831, 1.10217,
10374  1.38077, 1.75667, 2.23405, 2.84689, 3.55272,
10375  4.29253, 4.69466, 4.32941, 3.04828, 2.19087,
10376  2.22196, 3.09567, 4.39404, 4.76596, 4.31709,
10377  3.58882, 2.84875, 2.24078, 1.76005, 1.3813,
10378  1.1006, 0.880005, 0.711979, 0.580178, 0.477977,
10379  0.396526, 0.331262, 0.27955, 0.236732, 0.199038,
10380  0.171161, 0.146211, 0.126479, 0.109681, 0.0956109,
10381  0.0836788, 0.0740977, 0.0654486, 0.0587163, 0.0528408,
10382  0.0481027, 0.0438043, 0.0406871, 0.0376908, 0.0355016,
10383  0.033527, 0.0321832, 0.0312575, 0.0304912, 0.0303133,
10384  0.0301288, 0.0305236, 0.0312841, 0.0322722, 0.0335528,
10385  0.0354304, 0.0377264, 0.0404793, 0.0440677, 0.0481115,
10386  0.0528412, 0.058711, 0.0657232, 0.0734381, 0.0836334,
10387  0.0959846, 0.109489, 0.12638, 0.146876, 0.170566,
10388  0.199951, 0.235355, 0.279156, 0.33119, 0.398665,
10389  0.479887, 0.583785, 0.709497, 0.880363, 1.09887,
10390  1.38348, 1.75424, 2.23945, 2.8488, 3.58636,
10391  4.32502, 4.76947, 4.38763, 3.09862, 2.23127,
10392  2.25381, 3.13888, 4.47705, 4.82297, 4.35881,
10393  3.59491, 2.87369, 2.24842, 1.75844, 1.38219,
10394  1.09836, 0.878617, 0.712048, 0.581036, 0.478324,
10395  0.397495, 0.331831, 0.278854, 0.234539, 0.198681,
10396  0.169507, 0.146398, 0.125978, 0.108545, 0.0950649,
10397  0.0830687, 0.0734633, 0.0649758, 0.058171, 0.0523154,
10398  0.0476436, 0.0434447, 0.0400164, 0.0375337, 0.0349477,
10399  0.0332681, 0.031925, 0.030857, 0.0301716, 0.0299248,
10400  0.0297649, 0.0302207, 0.030847, 0.0318541, 0.0333436,
10401  0.0351197, 0.0374001, 0.0401849, 0.043476, 0.0474251,
10402  0.0521514, 0.0582664, 0.0651508, 0.0734156, 0.0828186,
10403  0.095169, 0.109248, 0.125724, 0.145538, 0.17013,
10404  0.198627, 0.235548, 0.276816, 0.331983, 0.395172,
10405  0.479014, 0.583316, 0.712929, 0.879181, 1.09992,
10406  1.38931, 1.75619, 2.25693, 2.86672, 3.60923,
10407  4.33799, 4.80611, 4.46233, 3.13742, 2.2647,
10408  2.28009, 3.18334, 4.52513, 4.87471, 4.39221,
10409  3.61739, 2.88959, 2.26259, 1.76666, 1.39254,
10410  1.09681, 0.880878, 0.711381, 0.579224, 0.475468,
10411  0.394578, 0.328919, 0.276493, 0.234108, 0.198398,
10412  0.16926, 0.144473, 0.124741, 0.108484, 0.0941624,
10413  0.0824289, 0.0727899, 0.0644302, 0.0575655, 0.0520553,
10414  0.0470198, 0.0428926, 0.0396919, 0.0367705, 0.0346414,
10415  0.0329189, 0.0315125, 0.0305013, 0.0298478, 0.0295628,
10416  0.0296261, 0.0298296, 0.0305119, 0.0315216, 0.0329298,
10417  0.0347167, 0.0368604, 0.0396385, 0.0428693, 0.0469523,
10418  0.0517392, 0.0575876, 0.0643627, 0.0724444, 0.0825894,
10419  0.0940674, 0.108083, 0.124433, 0.145076, 0.169271,
10420  0.198042, 0.234151, 0.275735, 0.330747, 0.394349,
10421  0.474408, 0.582786, 0.710294, 0.882194, 1.09774,
10422  1.38663, 1.7597, 2.25458, 2.87649, 3.63478,
10423  4.39324, 4.88424, 4.5408, 3.18955, 2.27705};
10424 
10427 static std::unique_ptr<InterpolateDataLinear<double>>
10429  pipi0_pipi0_interpolation = nullptr;
10430 static std::unique_ptr<InterpolateData2DSpline>
10431  pipi0_pipi0_dsigma_dk_interpolation = nullptr;
10432 static std::unique_ptr<InterpolateData2DSpline>
10433  pipi0_pipi0_dsigma_dtheta_interpolation = nullptr;
10435 
10437 const std::initializer_list<double> BREMS_PIPI0_PIPI0_SIG = {
10438  0.00238715, 0.00445382, 0.00712715, 0.0104815, 0.0146857, 0.0196161,
10439  0.0253521, 0.0317458, 0.0391626, 0.0471976, 0.0591705, 0.0751607,
10440  0.0925098, 0.111121, 0.13102, 0.151251, 0.173346, 0.197069,
10441  0.224063, 0.252267, 0.282114, 0.314296, 0.350944, 0.389958,
10442  0.428987, 0.487131, 0.550576, 0.618212, 0.6993, 0.774948,
10443  0.8733, 0.971569, 1.08697, 1.20307, 1.35139, 1.50299,
10444  1.66769, 1.86748, 2.08321, 2.33728, 2.58311, 2.87275,
10445  3.19614, 3.55639, 3.91583, 4.20251, 4.49645, 4.65648,
10446  4.77438, 4.72795, 4.56689, 4.38687, 4.11775, 3.79712,
10447  3.48892, 3.16256, 2.88332, 2.6125, 2.38891, 2.17941,
10448  1.97572, 1.81913, 1.67653, 1.55607, 1.47142, 1.34593,
10449  1.26725, 1.20012, 1.13588, 1.08206, 1.04007, 0.98738,
10450  0.95271, 0.927193, 0.902884, 0.873624, 0.851012, 0.833758,
10451  0.825499, 0.811489, 0.801504, 0.804589, 0.796155, 0.795923,
10452  0.777357, 0.790414, 0.789102, 0.795628, 0.796626, 0.797417,
10453  0.804845, 0.808733, 0.815892, 0.822913, 0.820598, 0.832544,
10454  0.846578, 0.852406, 0.87491, 0.873603, 0.894088, 0.897036,
10455  0.909389, 0.91443, 0.934217, 0.945879, 0.960084, 0.975932,
10456  0.989615, 1.00284, 1.01262, 1.03268, 1.04591, 1.0638,
10457  1.07255, 1.08111, 1.09447, 1.10825, 1.12303, 1.14748,
10458  1.17096, 1.17497, 1.20473, 1.19836, 1.2198, 1.24448,
10459  1.25318, 1.27641, 1.2949, 1.31813, 1.31568, 1.36047,
10460  1.36269, 1.39071, 1.39828, 1.4174, 1.42152, 1.48185,
10461  1.4488, 1.46725, 1.48982, 1.51196, 1.54487, 1.5447,
10462  1.57424, 1.60191, 1.62043, 1.66781, 1.63993, 1.65503,
10463  1.67276, 1.70271, 1.72128, 1.72622, 1.74229, 1.72769,
10464  1.7742, 1.78719, 1.82348, 1.85303, 1.86493, 1.89026,
10465  1.88821, 1.90762, 1.93262, 1.9489, 1.97476, 1.98357,
10466  1.98252, 2.00088};
10467 
10469 const std::initializer_list<double> BREMS_PIPI0_PIPI0_DIFF_SIG_K = {
10470  1.04456, 0.96306, 0.906043, 0.844905, 0.784508, 0.724991,
10471  0.667726, 0.620185, 0.575953, 0.537417, 0.493945, 0.452674,
10472  0.424645, 0.389709, 0.359017, 0.328241, 0.302873, 0.279363,
10473  0.256255, 0.236175, 0.212709, 0.196374, 0.182099, 0.16654,
10474  0.149467, 0.136386, 0.124108, 0.112527, 0.10114, 0.0913765,
10475  0.0817971, 0.0732914, 0.0643772, 0.0569512, 0.0499606, 0.0436641,
10476  0.0381932, 0.0328259, 0.0274891, 0.0231227, 0.0187977, 0.0150862,
10477  0.0116508, 0.00836642, 0.0, 0.0, 0.0, 0.0,
10478  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10479  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10480  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10481  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10482  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10483  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10484  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10485  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10486  0.0, 0.0, 0.0, 0.0, 1.78138, 1.65527,
10487  1.52005, 1.4013, 1.30984, 1.21177, 1.11801, 1.04471,
10488  0.966116, 0.900097, 0.836085, 0.772371, 0.708057, 0.653463,
10489  0.602241, 0.560176, 0.519066, 0.479634, 0.441022, 0.405593,
10490  0.375609, 0.34446, 0.316127, 0.288428, 0.26729, 0.243785,
10491  0.224793, 0.203902, 0.186732, 0.169453, 0.154802, 0.139052,
10492  0.125921, 0.112681, 0.101435, 0.0915805, 0.0807783, 0.0720705,
10493  0.0633633, 0.0556048, 0.0477827, 0.0415316, 0.0353832, 0.030144,
10494  0.0248207, 0.0200893, 0.0159329, 0.0119751, 0.00841311, 0.0,
10495  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10496  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10497  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10498  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10499  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10500  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10501  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10502  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10503  0.0, 0.0, 2.65283, 2.4321, 2.19543, 2.07231,
10504  1.94647, 1.81152, 1.66683, 1.56175, 1.4519, 1.33411,
10505  1.24576, 1.15965, 1.07153, 0.989869, 0.904611, 0.8416,
10506  0.77913, 0.734825, 0.680917, 0.617489, 0.568567, 0.52319,
10507  0.485477, 0.452721, 0.414523, 0.381136, 0.349326, 0.322926,
10508  0.294699, 0.264832, 0.24355, 0.224623, 0.201304, 0.182881,
10509  0.166622, 0.149495, 0.135466, 0.1217, 0.109284, 0.0969119,
10510  0.0862772, 0.0761857, 0.0666193, 0.0572589, 0.0495779, 0.0430086,
10511  0.0362558, 0.030406, 0.0247474, 0.0199243, 0.0152195, 0.0112763,
10512  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10513  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10514  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10515  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10516  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10517  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10518  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10519  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10520  3.66024, 3.45574, 3.23645, 3.00131, 2.74919, 2.50955,
10521  2.3628, 2.20545, 2.03673, 1.87216, 1.75716, 1.63385,
10522  1.50504, 1.40385, 1.29536, 1.19745, 1.11001, 1.02585,
10523  0.954487, 0.881863, 0.808793, 0.754525, 0.70105, 0.638713,
10524  0.585989, 0.543732, 0.501466, 0.456841, 0.420755, 0.383591,
10525  0.358655, 0.326753, 0.299619, 0.26844, 0.247851, 0.222293,
10526  0.202948, 0.182044, 0.164287, 0.149446, 0.130591, 0.118459,
10527  0.106137, 0.0933511, 0.0811843, 0.071671, 0.0622969, 0.0540718,
10528  0.0456569, 0.0384815, 0.0314827, 0.0258432, 0.0207246, 0.0154562,
10529  0.0111205, 0.0, 0.0, 0.0, 0.0, 0.0,
10530  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10531  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10532  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10533  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10534  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10535  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10536  0.0, 0.0, 0.0, 0.0, 5.14448, 4.60047,
10537  4.22637, 3.9914, 3.73944, 3.46928, 3.1796, 2.86897,
10538  2.70152, 2.52507, 2.33587, 2.13299, 2.00456, 1.86928,
10539  1.72423, 1.60839, 1.49168, 1.37697, 1.28188, 1.18191,
10540  1.09264, 1.00237, 0.926204, 0.857819, 0.796495, 0.741603,
10541  0.681871, 0.62421, 0.571679, 0.522382, 0.483977, 0.444747,
10542  0.403351, 0.372435, 0.338712, 0.310293, 0.282976, 0.25671,
10543  0.232675, 0.210983, 0.189665, 0.169064, 0.15115, 0.134872,
10544  0.121527, 0.108002, 0.0945037, 0.082141, 0.0707639, 0.061365,
10545  0.0528182, 0.0439455, 0.0370052, 0.0301591, 0.0235131, 0.0182397,
10546  0.0130951, 0.0, 0.0, 0.0, 0.0, 0.0,
10547  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10548  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10549  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10550  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10551  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10552  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10553  0.0, 0.0, 6.78647, 6.2424, 5.65901, 5.03347,
10554  4.65466, 4.3975, 4.12174, 3.82607, 3.50902, 3.18388,
10555  2.99806, 2.7988, 2.58515, 2.364, 2.22367, 2.0732,
10556  1.91185, 1.78799, 1.65788, 1.53175, 1.41881, 1.3051,
10557  1.21238, 1.11726, 1.02479, 0.95424, 0.892049, 0.81141,
10558  0.740931, 0.691212, 0.648051, 0.593178, 0.542407, 0.492652,
10559  0.446904, 0.409815, 0.374132, 0.337213, 0.311432, 0.281078,
10560  0.256017, 0.23119, 0.208607, 0.186588, 0.168131, 0.149345,
10561  0.132554, 0.117187, 0.103034, 0.0897358, 0.0786217, 0.0668812,
10562  0.0571304, 0.0483836, 0.0397477, 0.0321516, 0.0254238, 0.0193955,
10563  0.0139074, 0.0, 0.0, 0.0, 0.0, 0.0,
10564  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10565  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10566  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10567  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10568  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10569  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10570  8.48668, 7.94483, 7.36382, 6.74082, 6.0728, 5.37084,
10571  5.09984, 4.80925, 4.49767, 4.16356, 3.80531, 3.50617,
10572  3.29466, 3.06785, 2.82465, 2.60963, 2.43978, 2.25765,
10573  2.07994, 1.92994, 1.7691, 1.64925, 1.53957, 1.4288,
10574  1.31543, 1.21155, 1.10918, 1.0338, 0.957577, 0.883005,
10575  0.817393, 0.744619, 0.685379, 0.623988, 0.57254, 0.529432,
10576  0.482954, 0.443404, 0.40106, 0.36501, 0.334593, 0.308539,
10577  0.273423, 0.247246, 0.221764, 0.198801, 0.17649, 0.158178,
10578  0.141095, 0.123001, 0.107732, 0.0937105, 0.0806739, 0.0693249,
10579  0.0588743, 0.0495018, 0.0404371, 0.0325797, 0.025754, 0.018962,
10580  0.0132236, 0.0, 0.0, 0.0, 0.0, 0.0,
10581  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10582  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10583  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10584  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10585  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10586  0.0, 0.0, 0.0, 0.0, 10.0377, 9.50436,
10587  8.93242, 8.31915, 7.66156, 6.95645, 6.20038, 5.70438,
10588  5.40182, 5.0774, 4.72953, 4.35652, 3.95722, 3.73786,
10589  3.50265, 3.25043, 2.97999, 2.79064, 2.58809, 2.37091,
10590  2.21619, 2.06274, 1.9045, 1.75002, 1.59412, 1.49803,
10591  1.39356, 1.27671, 1.17676, 1.09084, 1.01476, 0.929814,
10592  0.851469, 0.785773, 0.722423, 0.662206, 0.604892, 0.554759,
10593  0.505853, 0.461946, 0.419063, 0.38232, 0.346126, 0.316769,
10594  0.281063, 0.254992, 0.228051, 0.203397, 0.182768, 0.160557,
10595  0.14311, 0.125712, 0.10901, 0.0944139, 0.0813129, 0.0691921,
10596  0.0578095, 0.0479904, 0.0392666, 0.0309313, 0.0238875, 0.0169148,
10597  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10598  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10599  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10600  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10601  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10602  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10603  0.0, 0.0, 11.8423, 11.3163, 10.7523, 10.1475,
10604  9.49906, 8.80372, 8.05812, 7.25864, 6.56212, 6.20334,
10605  5.81864, 5.40614, 4.96383, 4.48955, 4.17218, 3.9102,
10606  3.62929, 3.32808, 3.0923, 2.87664, 2.64539, 2.45907,
10607  2.30552, 2.14121, 1.99112, 1.83019, 1.69761, 1.56347,
10608  1.44817, 1.33211, 1.22359, 1.12576, 1.04039, 0.965666,
10609  0.876465, 0.81498, 0.739516, 0.683747, 0.623472, 0.568692,
10610  0.513178, 0.476872, 0.436366, 0.393522, 0.354671, 0.317732,
10611  0.289271, 0.259619, 0.23097, 0.204835, 0.182426, 0.163147,
10612  0.142667, 0.123987, 0.108126, 0.0931289, 0.0797779, 0.0663245,
10613  0.0558929, 0.0453639, 0.0360029, 0.0276486, 0.0205567, 0.0,
10614  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10615  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10616  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10617  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10618  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10619  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10620  13.7692, 13.2088, 12.6079, 11.9636, 11.2728, 10.532,
10621  9.73765, 8.88593, 7.97265, 7.08744, 6.73779, 6.36287,
10622  5.96086, 5.52979, 5.06757, 4.69183, 4.38802, 4.06225,
10623  3.71294, 3.43009, 3.20505, 2.96376, 2.74284, 2.56012,
10624  2.3642, 2.20161, 2.03574, 1.87458, 1.71002, 1.58658,
10625  1.47055, 1.35833, 1.2553, 1.15829, 1.06228, 0.97036,
10626  0.893914, 0.820916, 0.752768, 0.692723, 0.63074, 0.571606,
10627  0.527845, 0.478878, 0.43153, 0.389508, 0.359255, 0.323773,
10628  0.285221, 0.254699, 0.23102, 0.203165, 0.179381, 0.157193,
10629  0.13837, 0.120034, 0.103261, 0.0877685, 0.0741934, 0.0619803,
10630  0.0501415, 0.040413, 0.0315873, 0.0228763, 0.0156558, 0.0,
10631  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10632  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10633  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10634  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10635  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10636  0.0, 0.0, 0.0, 0.0, 22.4702, 14.8559,
10637  14.2571, 13.615, 12.9265, 12.1883, 11.3967, 10.5479,
10638  9.63772, 8.66179, 7.67465, 7.28593, 6.86912, 6.42219,
10639  5.94296, 5.4291, 5.02104, 4.73131, 4.42063, 4.0875,
10640  3.78733, 3.52634, 3.24649, 2.98592, 2.77806, 2.55518,
10641  2.3746, 2.19635, 2.03875, 1.89093, 1.74553, 1.5981,
10642  1.49332, 1.38217, 1.26644, 1.15174, 1.06732, 0.982964,
10643  0.906939, 0.820499, 0.746809, 0.687182, 0.627559, 0.572932,
10644  0.524237, 0.474999, 0.432219, 0.387499, 0.348477, 0.317825,
10645  0.278449, 0.248206, 0.220588, 0.196678, 0.172143, 0.151424,
10646  0.131013, 0.113245, 0.0956339, 0.0812304, 0.0677793, 0.0551421,
10647  0.04409, 0.0340603, 0.0253782, 0.017393, 0.0, 0.0,
10648  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10649  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10650  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10651  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10652  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10653  0.0, 0.0, 35.529, 23.7646, 15.9231, 15.2871,
10654  14.6052, 13.874, 13.09, 12.2493, 11.3478, 10.3812,
10655  9.34472, 8.31866, 7.89226, 7.43505, 6.94479, 6.41911,
10656  5.85543, 5.41455, 5.09063, 4.7433, 4.37087, 4.05787,
10657  3.80339, 3.53051, 3.26747, 3.03216, 2.77985, 2.5855,
10658  2.39336, 2.21635, 2.04249, 1.88666, 1.73363, 1.61139,
10659  1.4789, 1.34877, 1.25001, 1.17282, 1.06245, 0.970651,
10660  0.891107, 0.811088, 0.74568, 0.682389, 0.620196, 0.563316,
10661  0.520146, 0.462312, 0.421605, 0.373592, 0.340568, 0.299278,
10662  0.272513, 0.239214, 0.209932, 0.184493, 0.161318, 0.140801,
10663  0.121868, 0.104258, 0.0869759, 0.0722097, 0.0586337, 0.047301,
10664  0.0366833, 0.0273832, 0.0188903, 0.0, 0.0, 0.0,
10665  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10666  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10667  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10668  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10669  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10670  49.3288, 37.2822, 24.3651, 17.1715, 16.4831, 15.7449,
10671  14.9534, 14.1046, 13.1946, 12.2188, 11.1724, 10.0505,
10672  9.02177, 8.55009, 8.04433, 7.50203, 6.92053, 6.297,
10673  5.85165, 5.50487, 5.13302, 4.73431, 4.38879, 4.06802,
10674  3.72407, 3.43801, 3.21622, 2.9784, 2.76953, 2.54885,
10675  2.37128, 2.20021, 2.02294, 1.848, 1.71829, 1.58378,
10676  1.44779, 1.32112, 1.24165, 1.12395, 1.04314, 0.953678,
10677  0.875815, 0.804302, 0.735501, 0.658425, 0.592785, 0.549882,
10678  0.495022, 0.450854, 0.399023, 0.360096, 0.32272, 0.286363,
10679  0.254471, 0.22292, 0.198589, 0.171086, 0.148924, 0.128486,
10680  0.109086, 0.0911525, 0.0764693, 0.0617834, 0.0502799, 0.0379432,
10681  0.0281446, 0.0339253, 0.0, 0.0, 0.0, 0.0,
10682  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10683  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10684  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10685  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10686  0.0, 0.0, 0.0, 0.0, 63.7946, 51.531,
10687  38.3812, 24.2811, 18.852, 18.066, 17.2232, 16.3195,
10688  15.3505, 14.3114, 13.1972, 12.0026, 10.7216, 9.70277,
10689  9.17799, 8.61529, 8.01192, 7.36496, 6.67123, 6.23785,
10690  5.84893, 5.43191, 4.98474, 4.64202, 4.30965, 3.95325,
10691  3.66331, 3.39888, 3.12539, 2.91969, 2.69912, 2.51527,
10692  2.32363, 2.15163, 1.98063, 1.82062, 1.66965, 1.53899,
10693  1.42966, 1.32318, 1.20944, 1.11156, 1.01534, 0.929882,
10694  0.847307, 0.774291, 0.703876, 0.646495, 0.581313, 0.525934,
10695  0.471656, 0.422384, 0.380487, 0.340678, 0.303161, 0.268661,
10696  0.233543, 0.206931, 0.181225, 0.157721, 0.134943, 0.113844,
10697  0.0947053, 0.0779586, 0.0629979, 0.0513331, 0.0392981, 0.0285682,
10698  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10699  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10700  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10701  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10702  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10703  0.0, 0.0, 79.2775, 66.5157, 52.8317, 38.1587,
10704  22.4253, 19.9505, 19.1012, 18.1906, 17.2141, 16.1671,
10705  15.0444, 13.8405, 12.5497, 11.1656, 10.2786, 9.70787,
10706  9.09588, 8.43966, 7.73601, 6.99566, 6.60035, 6.17648,
10707  5.72196, 5.24021, 4.92837, 4.59399, 4.23545, 3.92529,
10708  3.60137, 3.303, 3.08489, 2.85955, 2.66553, 2.46959,
10709  2.29376, 2.10289, 1.90542, 1.77151, 1.63667, 1.5143,
10710  1.39897, 1.27696, 1.16652, 1.0695, 0.980433, 0.895001,
10711  0.812225, 0.734979, 0.672969, 0.613344, 0.551727, 0.492769,
10712  0.448443, 0.399086, 0.356938, 0.314849, 0.280441, 0.243198,
10713  0.213422, 0.187445, 0.159158, 0.138127, 0.116398, 0.0972193,
10714  0.0805666, 0.0658083, 0.0515954, 0.039606, 0.0287239, 0.0,
10715  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10716  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10717  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10718  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10719  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10720  93.8599, 80.8899, 66.9826, 52.0703, 36.0802, 21.7458,
10721  20.8941, 19.9808, 19.0016, 17.9516, 16.8257, 15.6184,
10722  14.3239, 12.9358, 11.4475, 10.7681, 10.1518, 9.49107,
10723  8.78256, 8.02285, 7.3453, 6.934, 6.49298, 6.02008,
10724  5.56243, 5.18969, 4.79002, 4.39137, 4.11091, 3.81018,
10725  3.54136, 3.289, 3.04279, 2.81205, 2.59014, 2.37444,
10726  2.20555, 2.03435, 1.85307, 1.70569, 1.58021, 1.45274,
10727  1.32774, 1.21943, 1.12572, 1.02624, 0.924723, 0.849875,
10728  0.773479, 0.696836, 0.63642, 0.574922, 0.513504, 0.464737,
10729  0.414386, 0.367604, 0.326543, 0.288556, 0.252763, 0.222397,
10730  0.192198, 0.166289, 0.141588, 0.119715, 0.0995045, 0.0811123,
10731  0.0656816, 0.0514514, 0.0386158, 0.02696, 0.0, 0.0,
10732  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10733  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10734  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10735  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10736  0.0, 0.0, 0.0, 0.0, 107.892, 94.9319,
10737  81.0351, 66.134, 50.1561, 33.0235, 23.2884, 22.3391,
10738  21.3213, 20.2299, 19.0596, 17.8048, 16.4593, 15.0165,
10739  13.4695, 12.0461, 11.4246, 10.7582, 10.0437, 9.27756,
10740  8.45603, 7.84524, 7.35558, 6.83053, 6.26755, 5.82244,
10741  5.44552, 5.04136, 4.67451, 4.35223, 4.00666, 3.72805,
10742  3.43695, 3.17188, 2.90392, 2.71428, 2.526, 2.3186,
10743  2.12334, 1.94243, 1.78402, 1.64372, 1.52851, 1.392,
10744  1.26997, 1.1719, 1.07069, 0.977212, 0.875142, 0.804545,
10745  0.721008, 0.658856, 0.601136, 0.531389, 0.477076, 0.422928,
10746  0.381587, 0.33642, 0.297123, 0.259043, 0.228554, 0.197716,
10747  0.167566, 0.1435, 0.12156, 0.099311, 0.0816465, 0.0655518,
10748  0.0499139, 0.0374642, 0.0431529, 0.0, 0.0, 0.0,
10749  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10750  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10751  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10752  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10753  0.0, 0.0, 124.025, 110.702, 96.4165, 81.0987,
10754  64.6739, 47.0622, 28.1776, 24.2622, 23.2506, 22.1659,
10755  21.0028, 19.7557, 18.4184, 16.9845, 15.4469, 13.7982,
10756  12.6812, 11.9948, 11.2587, 10.4695, 9.62324, 8.71581,
10757  8.22553, 7.70746, 7.15196, 6.55632, 6.15403, 5.72845,
10758  5.27211, 4.92163, 4.57152, 4.2104, 3.86092, 3.50494,
10759  3.28714, 3.05513, 2.81204, 2.57802, 2.3548, 2.20612,
10760  2.03053, 1.85732, 1.70964, 1.57512, 1.44806, 1.33855,
10761  1.20493, 1.10744, 0.99736, 0.911921, 0.82801, 0.750168,
10762  0.675711, 0.607868, 0.552376, 0.488387, 0.433362, 0.391762,
10763  0.343704, 0.302803, 0.264669, 0.229963, 0.198648, 0.167362,
10764  0.144133, 0.120483, 0.0992702, 0.0807913, 0.063836, 0.0477825,
10765  0.0357223, 0.0, 0.0, 0.0, 0.0, 0.0,
10766  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10767  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10768  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10769  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10770  143.618, 129.664, 114.702, 98.6586, 81.4557, 63.0095,
10771  43.2303, 26.8394, 25.7797, 24.6434, 23.425, 22.1185,
10772  20.7177, 19.2155, 17.6049, 15.8778, 14.0259, 13.2674,
10773  12.5082, 11.6941, 10.8212, 9.88514, 9.07072, 8.5234,
10774  7.93654, 7.30726, 6.73867, 6.31817, 5.86728, 5.41834,
10775  5.05084, 4.65678, 4.31325, 3.98473, 3.6836, 3.41439,
10776  3.15609, 2.89941, 2.69301, 2.49152, 2.29695, 2.10695,
10777  1.93918, 1.77757, 1.62333, 1.49279, 1.35935, 1.24951,
10778  1.14398, 1.03253, 0.937537, 0.846691, 0.759834, 0.693676,
10779  0.621629, 0.56222, 0.494076, 0.440536, 0.392633, 0.347876,
10780  0.306135, 0.268693, 0.233403, 0.196644, 0.169842, 0.14339,
10781  0.119129, 0.0990722, 0.0786769, 0.0614977, 0.0464431, 0.0323168,
10782  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10783  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10784  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10785  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10786  0.0, 0.0, 0.0, 0.0, 160.794, 146.561,
10787  131.299, 114.935, 97.3875, 78.5722, 58.3972, 36.7643,
10788  28.1921, 27.0342, 25.7927, 24.4615, 23.034, 21.5034,
10789  19.8622, 18.1024, 16.2154, 14.7019, 13.939, 13.1209,
10790  12.2437, 11.3032, 10.2946, 9.60282, 8.96392, 8.27885,
10791  7.54428, 7.02277, 6.53734, 6.01682, 5.6094, 5.25281,
10792  4.87456, 4.50999, 4.11907, 3.82378, 3.52047, 3.25836,
10793  3.00611, 2.78851, 2.56524, 2.35705, 2.16328, 1.9677,
10794  1.82965, 1.67713, 1.54278, 1.39134, 1.27919, 1.16939,
10795  1.05274, 0.9535, 0.861487, 0.781002, 0.708594, 0.632592,
10796  0.566353, 0.507568, 0.453369, 0.396676, 0.351909, 0.309117,
10797  0.264735, 0.230272, 0.194575, 0.167761, 0.140274, 0.117275,
10798  0.0955808, 0.0752447, 0.0590477, 0.0417527, 0.0, 0.0,
10799  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10800  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10801  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10802  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10803  0.0, 0.0, 179.566, 164.964, 149.307, 132.518,
10804  114.516, 95.213, 74.5151, 52.3215, 30.919, 29.6996,
10805  28.3921, 26.99, 25.4867, 23.8747, 22.1462, 20.2928,
10806  18.3055, 16.1746, 15.1506, 14.3208, 13.431, 12.4769,
10807  11.4539, 10.4872, 9.86472, 9.19721, 8.48146, 7.7903,
10808  7.30223, 6.77889, 6.23907, 5.84009, 5.41228, 5.00297,
10809  4.60717, 4.22778, 3.9014, 3.60907, 3.36072, 3.106,
10810  2.85261, 2.61894, 2.41828, 2.22112, 2.05243, 1.88794,
10811  1.71174, 1.57361, 1.4241, 1.29366, 1.19175, 1.07158,
10812  0.974143, 0.883376, 0.792711, 0.71509, 0.647785, 0.572758,
10813  0.511466, 0.455964, 0.402807, 0.351748, 0.30893, 0.265926,
10814  0.229152, 0.198916, 0.164746, 0.140567, 0.114009, 0.0903949,
10815  0.0726379, 0.055779, 0.0388421, 0.0, 0.0, 0.0,
10816  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10817  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10818  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10819  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10820  197.751, 182.861, 166.895, 149.776, 131.419, 111.736,
10821  90.6305, 67.9997, 43.7333, 32.2346, 30.9369, 29.5453,
10822  28.0533, 26.4534, 24.7379, 22.8984, 20.926, 18.811,
10823  16.9839, 16.0698, 15.0897, 14.0387, 12.9118, 11.7034,
10824  10.8893, 10.21, 9.48161, 8.70056, 8.1005, 7.55634,
10825  6.97286, 6.4745, 6.03413, 5.56391, 5.17687, 4.76185,
10826  4.40764, 4.04557, 3.72965, 3.41996, 3.15396, 2.91115,
10827  2.68494, 2.47788, 2.27857, 2.06494, 1.9376, 1.73558,
10828  1.61352, 1.46917, 1.32246, 1.2081, 1.09695, 0.98143,
10829  0.901993, 0.799341, 0.727957, 0.651922, 0.58388, 0.51558,
10830  0.44827, 0.399765, 0.346759, 0.306101, 0.2627, 0.2276,
10831  0.193306, 0.161955, 0.135399, 0.10971, 0.0883268, 0.0676751,
10832  0.0505332, 0.0, 0.0, 0.0, 0.0, 0.0,
10833  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10834  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10835  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10836  0.0, 0.0, 0.0, 0.0, 221.521, 205.97,
10837  189.296, 171.416, 152.245, 131.688, 109.645, 86.0096,
10838  60.6659, 35.4746, 34.0952, 32.6161, 31.0302, 29.3296,
10839  27.5061, 25.5509, 23.4543, 21.2063, 18.7958, 17.5481,
10840  16.5536, 15.4873, 14.3438, 13.1178, 11.9547, 11.2718,
10841  10.5395, 9.7543, 8.9753, 8.38569, 7.75347, 7.09448,
10842  6.60975, 6.08999, 5.6493, 5.29071, 4.90869, 4.50409,
10843  4.14093, 3.84097, 3.54491, 3.25149, 2.97966, 2.73558,
10844  2.51307, 2.32319, 2.12633, 1.94142, 1.77341, 1.60899,
10845  1.48996, 1.35551, 1.2258, 1.11186, 1.00182, 0.902935,
10846  0.811036, 0.72453, 0.647097, 0.583558, 0.516625, 0.452376,
10847  0.402615, 0.349326, 0.302382, 0.262602, 0.223051, 0.188063,
10848  0.158538, 0.129644, 0.104118, 0.0830029, 0.0629429, 0.045587,
10849  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10850  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10851  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10852  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10853  0.0, 0.0, 246.153, 229.957, 212.59, 193.968,
10854  174.0, 152.589, 129.631, 105.014, 78.6183, 50.3146,
10855  37.3327, 35.7764, 34.1077, 32.3183, 30.3997, 28.3424,
10856  26.1364, 23.771, 21.2346, 19.0976, 18.0897, 17.009,
10857  15.8502, 14.6077, 13.2754, 12.3471, 11.5376, 10.6695,
10858  9.7387, 9.09625, 8.54486, 7.95363, 7.41283, 6.89738,
10859  6.34877, 5.88468, 5.38705, 4.99154, 4.59128, 4.22629,
10860  3.86882, 3.56221, 3.30066, 3.04959, 2.80376, 2.5726,
10861  2.37133, 2.17127, 1.97188, 1.80664, 1.65683, 1.48565,
10862  1.3681, 1.24647, 1.11698, 1.01397, 0.907884, 0.816984,
10863  0.73134, 0.654551, 0.579919, 0.516507, 0.446089, 0.395222,
10864  0.344526, 0.298188, 0.256463, 0.216649, 0.182399, 0.152361,
10865  0.12212, 0.0993891, 0.0775671, 0.0572615, 0.0, 0.0,
10866  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10867  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10868  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10869  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10870  266.187, 249.744, 232.114, 213.209, 192.938, 171.203,
10871  147.896, 122.906, 96.1087, 67.3754, 40.5034, 38.8952,
10872  37.1707, 35.3217, 33.339, 31.2131, 28.9335, 26.4892,
10873  23.8682, 21.0578, 19.7623, 18.6688, 17.4962, 16.239,
10874  14.8908, 13.6349, 12.8091, 11.9237, 10.9743, 10.0781,
10875  9.46552, 8.80872, 8.12961, 7.56507, 6.95973, 6.43455,
10876  5.96787, 5.50085, 5.05311, 4.63863, 4.26053, 3.95664,
10877  3.67213, 3.40854, 3.0958, 2.86081, 2.62415, 2.40218,
10878  2.21386, 2.0076, 1.84896, 1.6806, 1.52441, 1.38202,
10879  1.24554, 1.1284, 1.0125, 0.904434, 0.821322, 0.731671,
10880  0.649643, 0.572869, 0.509802, 0.447522, 0.393922, 0.339574,
10881  0.293217, 0.25013, 0.213751, 0.175642, 0.144717, 0.117524,
10882  0.0928136, 0.0704084, 0.0497389, 0.0, 0.0, 0.0,
10883  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10884  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10885  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10886  0.0, 0.0, 0.0, 0.0, 294.445, 277.205,
10887  258.719, 238.896, 217.642, 194.851, 170.413, 144.209,
10888  116.112, 85.9837, 53.6784, 41.9432, 40.2189, 38.3701,
10889  36.3876, 34.2619, 31.9825, 29.5385, 26.9178, 24.1077,
10890  21.8952, 20.7009, 19.4204, 18.0473, 16.575, 14.9963,
10891  14.0685, 13.2366, 12.3446, 11.3882, 10.5982, 9.80417,
10892  8.95274, 8.2883, 7.6899, 7.07151, 6.57477, 6.04214,
10893  5.65002, 5.23867, 4.78878, 4.37681, 4.04764, 3.74305,
10894  3.46519, 3.18826, 2.87398, 2.64361, 2.44131, 2.21575,
10895  2.02712, 1.83474, 1.68793, 1.53424, 1.38658, 1.2511,
10896  1.12726, 1.02308, 0.915121, 0.815116, 0.728454, 0.649483,
10897  0.574458, 0.505805, 0.441581, 0.380898, 0.334231, 0.283739,
10898  0.240099, 0.200614, 0.170118, 0.135909, 0.108406, 0.0847715,
10899  0.0625217, 0.0, 0.0, 0.0, 0.0, 0.0,
10900  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10901  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10902  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10903  0.0, 0.0, 321.29, 303.471, 284.364, 263.876,
10904  241.908, 218.351, 193.093, 166.009, 136.968, 105.828,
10905  72.438, 45.6647, 43.8533, 41.911, 39.8283, 37.5951,
10906  35.2005, 32.6329, 29.8797, 26.9275, 23.762, 22.5338,
10907  21.2507, 19.8748, 18.3996, 16.8177, 15.4626, 14.5362,
10908  13.5428, 12.4777, 11.5092, 10.7479, 9.93153, 9.13837,
10909  8.52408, 7.86541, 7.30422, 6.76736, 6.27564, 5.82783,
10910  5.32234, 4.76518, 4.4674, 4.15571, 3.8234, 3.51406,
10911  3.22857, 2.95624, 2.70609, 2.45887, 2.26367, 2.06973,
10912  1.88023, 1.70745, 1.54633, 1.38572, 1.25492, 1.14103,
10913  1.02158, 0.918569, 0.82239, 0.724089, 0.639489, 0.5681,
10914  0.494758, 0.437374, 0.375276, 0.325121, 0.276627, 0.235081,
10915  0.194574, 0.15952, 0.129489, 0.10209, 0.0772607, 0.06562,
10916  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10917  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10918  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10919  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10920  348.766, 330.409, 310.725, 289.62, 266.988, 242.722,
10921  216.701, 188.801, 158.884, 126.805, 92.4073, 55.5242,
10922  47.9561, 45.9021, 43.6996, 41.3379, 38.8056, 36.0903,
10923  33.1787, 30.0568, 26.7092, 24.4848, 23.1557, 21.7306,
10924  20.2024, 18.5639, 16.8069, 15.8622, 14.8604, 13.7861,
10925  12.6343, 11.8332, 10.9831, 10.0715, 9.38783, 8.70753,
10926  8.01889, 7.38612, 6.73881, 6.30666, 5.85152, 5.39362,
10927  4.95879, 4.5455, 4.20029, 3.85826, 3.54644, 3.26886,
10928  2.98431, 2.7191, 2.51143, 2.26694, 2.06548, 1.8914,
10929  1.71152, 1.5441, 1.40022, 1.25874, 1.13572, 1.02056,
10930  0.904678, 0.80665, 0.715933, 0.637243, 0.559088, 0.489072,
10931  0.425652, 0.364474, 0.312033, 0.266272, 0.222502, 0.18413,
10932  0.151995, 0.119243, 0.0934823, 0.0685222, 0.0, 0.0,
10933  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10934  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10935  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10936  0.0, 0.0, 0.0, 0.0, 386.783, 367.31,
10937  346.429, 324.039, 300.031, 274.288, 246.685, 217.087,
10938  185.35, 151.319, 114.829, 75.7025, 51.9505, 49.8251,
10939  47.5462, 45.1025, 42.4823, 39.6727, 36.6601, 33.4297,
10940  29.9659, 26.6939, 25.3611, 23.9321, 22.3997, 20.7566,
10941  18.9948, 17.6309, 16.5463, 15.3832, 14.1361, 13.0925,
10942  12.1917, 11.2259, 10.3534, 9.62154, 8.83676, 8.17324,
10943  7.48519, 6.94332, 6.44461, 5.99845, 5.54167, 5.06228,
10944  4.65671, 4.28879, 3.92304, 3.63567, 3.29351, 3.04394,
10945  2.78046, 2.52681, 2.30052, 2.08659, 1.89478, 1.71215,
10946  1.55256, 1.3951, 1.27041, 1.12972, 1.01363, 0.90664,
10947  0.80265, 0.712042, 0.622918, 0.546303, 0.477302, 0.413209,
10948  0.351651, 0.304554, 0.254911, 0.214304, 0.172939, 0.140102,
10949  0.112995, 0.0833042, 0.114973, 0.0, 0.0, 0.0,
10950  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10951  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10952  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10953  0.0, 0.0, 413.131, 393.318, 372.073, 349.293,
10954  324.866, 298.674, 270.59, 240.476, 208.185, 173.561,
10955  136.435, 96.6254, 56.5169, 54.3038, 51.9308, 49.3863,
10956  46.6578, 43.7323, 40.5952, 37.2315, 33.6247, 29.7572,
10957  27.7696, 26.2379, 24.5955, 22.8344, 20.946, 19.1277,
10958  18.0082, 16.8079, 15.5208, 14.2475, 13.3334, 12.3532,
10959  11.3256, 10.554, 9.72673, 9.00278, 8.39419, 7.76815,
10960  7.15368, 6.54592, 5.96238, 5.52359, 5.11348, 4.67961,
10961  4.33996, 3.9935, 3.65834, 3.3385, 3.03984, 2.78282,
10962  2.53144, 2.29392, 2.1022, 1.90068, 1.71203, 1.55977,
10963  1.40434, 1.25245, 1.12166, 0.999361, 0.892572, 0.792827,
10964  0.69895, 0.611251, 0.53565, 0.466744, 0.39933, 0.341479,
10965  0.289893, 0.240208, 0.201599, 0.163505, 0.128971, 0.0997976,
10966  0.0724514, 0.0, 0.0, 0.0, 0.0, 0.0,
10967  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10968  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10969  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10970  461.741, 440.473, 417.669, 393.216, 366.996, 338.881,
10971  308.734, 276.409, 241.747, 204.581, 164.729, 121.997,
10972  76.1765, 59.575, 57.017, 54.2742, 51.3332, 48.1796,
10973  44.7982, 41.1724, 37.2845, 33.1157, 29.9289, 28.3808,
10974  26.7208, 24.9408, 23.0322, 20.9857, 19.6548, 18.4085,
10975  17.072, 15.639, 14.5626, 13.5101, 12.3816, 11.5329,
10976  10.7868, 10.007, 9.31311, 8.56905, 7.92095, 7.24476,
10977  6.68681, 6.16002, 5.70822, 5.21767, 4.77749, 4.39224,
10978  4.01616, 3.65919, 3.35334, 3.09276, 2.82071, 2.55399,
10979  2.31306, 2.12779, 1.89094, 1.73108, 1.54891, 1.39538,
10980  1.25158, 1.1205, 1.00191, 0.888848, 0.782114, 0.691465,
10981  0.598428, 0.520766, 0.448878, 0.38474, 0.329261, 0.276357,
10982  0.228804, 0.187761, 0.14807, 0.117582, 0.0903993, 0.0,
10983  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10984  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10985  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
10986  0.0, 0.0, 0.0, 0.0, 499.214, 477.181,
10987  453.556, 428.224, 401.061, 371.935, 340.704, 307.216,
10988  271.308, 232.805, 191.52, 147.251, 99.7827, 65.0932,
10989  62.4453, 59.606, 56.5615, 53.2971, 49.7967, 46.0433,
10990  42.0187, 37.7033, 33.2474, 31.5717, 29.7748, 27.8482,
10991  25.7823, 23.5671, 21.7094, 20.3207, 18.8317, 17.235,
10992  15.8922, 14.8966, 13.829, 12.8001, 11.9362, 11.0099,
10993  10.23, 9.46065, 8.7238, 7.99669, 7.37879, 6.79002,
10994  6.24495, 5.73258, 5.26842, 4.86825, 4.48088, 4.13871,
10995  3.75145, 3.39415, 3.11754, 2.82791, 2.5722, 2.32606,
10996  2.12157, 1.90542, 1.71929, 1.55391, 1.39262, 1.23858,
10997  1.10868, 0.98392, 0.876319, 0.763895, 0.671638, 0.580762,
10998  0.503687, 0.435058, 0.372326, 0.315668, 0.263411, 0.217519,
10999  0.176325, 0.138458, 0.105032, 0.126986, 0.0, 0.0,
11000  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11001  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11002  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11003  0.0, 0.0, 549.522, 526.163, 501.116, 474.259,
11004  445.461, 414.582, 381.471, 345.967, 307.898, 267.078,
11005  223.307, 176.374, 126.049, 72.0865, 68.0609, 65.092,
11006  61.9084, 58.4949, 54.8346, 50.9098, 46.7014, 42.1889,
11007  37.3503, 34.6349, 32.8025, 30.8376, 28.7308, 26.4716,
11008  24.1811, 22.7279, 21.1697, 19.4989, 17.7902, 16.6396,
11009  15.4057, 14.0828, 13.1882, 12.2382, 11.3086, 10.4409,
11010  9.57208, 8.84138, 8.14337, 7.55778, 6.9621, 6.37424,
11011  5.90106, 5.37936, 4.89959, 4.4755, 4.10438, 3.77559,
11012  3.43791, 3.13597, 2.85627, 2.59628, 2.35608, 2.11747,
11013  1.92124, 1.73116, 1.55207, 1.38965, 1.23306, 1.09335,
11014  0.968432, 0.850408, 0.74592, 0.653315, 0.567654, 0.490559,
11015  0.421377, 0.357024, 0.302142, 0.247991, 0.201681, 0.15968,
11016  0.125953, 0.0921289, 0.0, 0.0, 0.0, 0.0,
11017  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11018  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11019  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11020  595.005, 570.634, 544.501, 516.48, 486.433, 454.216,
11021  419.67, 382.627, 342.908, 300.318, 254.651, 205.683,
11022  153.176, 96.8746, 73.5667, 70.5401, 67.2949, 63.8152,
11023  60.084, 56.0831, 51.7931, 47.1931, 42.2606, 38.2246,
11024  36.1725, 33.972, 31.6126, 29.0827, 26.3699, 24.6126,
11025  23.0658, 21.4071, 19.6286, 18.3104, 17.0777, 15.7558,
11026  14.5885, 13.4805, 12.3203, 11.4259, 10.4669, 9.77198,
11027  9.06513, 8.3156, 7.61443, 7.06573, 6.54945, 5.97745,
11028  5.40842, 5.0225, 4.57202, 4.16667, 3.83462, 3.49308,
11029  3.16301, 2.84634, 2.60737, 2.34619, 2.10136, 1.91601,
11030  1.71835, 1.54173, 1.37814, 1.22552, 1.09, 0.959557,
11031  0.843796, 0.732107, 0.641594, 0.553253, 0.471168, 0.404703,
11032  0.339414, 0.28363, 0.230984, 0.187016, 0.146712, 0.110304,
11033  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11034  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11035  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11036  0.0, 0.0, 0.0, 0.0, 663.393, 637.099,
11037  608.905, 578.673, 546.257, 511.497, 474.226, 434.262,
11038  391.409, 345.459, 296.189, 243.358, 186.709, 125.966,
11039  80.2777, 77.1472, 73.7904, 70.191, 66.3314, 62.193,
11040  57.7555, 52.9973, 47.8953, 42.539, 40.3542, 38.0115,
11041  35.4996, 32.8061, 29.918, 27.5088, 25.8009, 23.9695,
11042  22.0058, 20.2446, 18.8087, 17.2691, 15.8552, 14.8801,
11043  13.8345, 12.8243, 11.7804, 10.8043, 9.86991, 9.10827,
11044  8.40941, 7.76362, 7.14347, 6.55732, 5.97682, 5.4588,
11045  5.07948, 4.64768, 4.26, 3.84984, 3.49873, 3.19508,
11046  2.89845, 2.63394, 2.36039, 2.11892, 1.91815, 1.72806,
11047  1.52692, 1.35988, 1.20738, 1.05949, 0.945332, 0.817057,
11048  0.714517, 0.620369, 0.533175, 0.45617, 0.380709, 0.321894,
11049  0.264841, 0.219145, 0.170242, 0.128853, 0.146306, 0.0,
11050  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11051  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11052  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11053  0.0, 0.0, 722.88, 695.239, 665.601, 633.82,
11054  599.743, 563.203, 524.023, 482.011, 436.963, 388.66,
11055  336.865, 281.328, 221.777, 157.923, 89.4542, 84.9588,
11056  81.3526, 77.4857, 73.3394, 68.8935, 64.1263, 59.0145,
11057  53.5334, 47.6561, 44.2219, 41.7499, 39.0992, 36.257,
11058  33.2094, 30.1544, 28.3975, 26.5137, 24.4937, 22.4264,
11059  20.9667, 19.4016, 17.7233, 16.5165, 15.2285, 14.058,
11060  13.0996, 12.1102, 11.1694, 10.243, 9.40204, 8.64954,
11061  7.93576, 7.2716, 6.72408, 6.17703, 5.64602, 5.1471,
11062  4.66752, 4.26025, 3.90517, 3.55471, 3.21679, 2.8732,
11063  2.60481, 2.36956, 2.11573, 1.9056, 1.69661, 1.5203,
11064  1.34343, 1.19913, 1.05243, 0.917165, 0.807041, 0.69192,
11065  0.601299, 0.516802, 0.43457, 0.364641, 0.307735, 0.247937,
11066  0.198291, 0.153757, 0.115537, 0.0, 0.0, 0.0,
11067  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11068  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11069  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11070  783.223, 754.378, 723.448, 690.284, 654.723, 616.592,
11071  575.705, 531.863, 484.854, 434.447, 380.397, 322.441,
11072  260.297, 193.662, 122.211, 94.9749, 90.9556, 86.6459,
11073  82.0247, 77.0695, 71.7562, 66.0589, 59.95, 53.3995,
11074  48.2512, 45.679, 42.9211, 39.9637, 36.7927, 33.3925,
11075  31.2347, 29.2743, 27.1722, 24.9182, 23.1998, 21.5317,
11076  19.7431, 18.2683, 16.9059, 15.505, 14.5033, 13.4292,
11077  12.4279, 11.3777, 10.5237, 9.64976, 8.7842, 8.05506,
11078  7.3794, 6.77543, 6.2514, 5.71215, 5.16904, 4.75442,
11079  4.34293, 3.93844, 3.56106, 3.22303, 2.93046, 2.63412,
11080  2.36677, 2.11894, 1.89834, 1.6913, 1.5029, 1.33352,
11081  1.17311, 1.02898, 0.900056, 0.778119, 0.673366, 0.584345,
11082  0.495558, 0.413501, 0.347161, 0.284165, 0.228399, 0.174555,
11083  0.139028, 0.0, 0.0, 0.0, 0.0, 0.0,
11084  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11085  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11086  0.0, 0.0, 0.0, 0.0, 868.022, 836.975,
11087  803.684, 767.987, 729.711, 688.668, 644.659, 597.47,
11088  546.871, 492.615, 434.438, 372.057, 305.168, 233.445,
11089  156.539, 103.4, 99.3159, 94.9365, 90.2406, 85.2053,
11090  79.8062, 74.0168, 67.8091, 61.1527, 54.436, 51.5395,
11091  48.4336, 45.1032, 41.5322, 37.7031, 34.6478, 32.4243,
11092  30.0402, 27.4837, 25.4039, 23.8577, 22.1997, 20.5553,
11093  19.0256, 17.3853, 16.0099, 14.6311, 13.556, 12.6493,
11094  11.6541, 10.6019, 9.78342, 9.0215, 8.30618, 7.58955,
11095  6.95754, 6.32181, 5.81911, 5.31399, 4.83688, 4.35828,
11096  3.9945, 3.59823, 3.25146, 2.95187, 2.64533, 2.35957,
11097  2.13313, 1.88813, 1.6917, 1.48412, 1.31228, 1.15284,
11098  1.01131, 0.871294, 0.753973, 0.652208, 0.548746, 0.471574,
11099  0.396205, 0.327037, 0.263502, 0.207629, 0.160249, 0.113828,
11100  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11101  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11102  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11103  0.0, 0.0, 962.005, 928.61, 892.802, 854.407,
11104  813.236, 769.091, 721.755, 670.998, 616.574, 558.216,
11105  495.641, 428.543, 356.597, 279.452, 196.731, 113.894,
11106  109.396, 104.572, 99.4001, 93.8541, 87.9074, 81.5309,
11107  74.6936, 67.3622, 59.501, 55.5414, 52.4943, 49.2269,
11108  45.7234, 41.9667, 38.3464, 36.0473, 33.5822, 30.9388,
11109  28.3168, 26.3704, 24.2833, 22.1201, 20.766, 19.3141,
11110  17.8965, 16.5163, 15.1524, 13.9322, 12.8033, 11.8265,
11111  10.8807, 9.97866, 9.22863, 8.47999, 7.75198, 7.04467,
11112  6.41033, 5.85955, 5.35406, 4.83219, 4.42088, 3.97045,
11113  3.61152, 3.25658, 2.95147, 2.62951, 2.36624, 2.08937,
11114  1.87396, 1.6739, 1.46958, 1.29324, 1.13476, 0.985294,
11115  0.84991, 0.734516, 0.62841, 0.536412, 0.448634, 0.37182,
11116  0.302048, 0.238675, 0.189906, 0.137183, 0.0, 0.0,
11117  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11118  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11119  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11120  1066.03, 1030.12, 991.619, 950.331, 906.059, 858.588,
11121  807.686, 753.106, 694.581, 631.827, 564.538, 492.386,
11122  415.02, 332.062, 243.11, 147.729, 121.743, 116.569,
11123  111.021, 105.072, 98.6932, 91.8534, 84.5193, 76.6552,
11124  68.2228, 62.2166, 58.8703, 55.2821, 51.4345, 47.309,
11125  42.8853, 40.2088, 37.5242, 34.6456, 31.559, 29.421,
11126  27.2451, 24.912, 23.1646, 21.5066, 19.8168, 18.3336,
11127  16.763, 15.5537, 14.2926, 13.1451, 12.1193, 11.2454,
11128  10.2716, 9.38318, 8.61912, 7.93278, 7.19832, 6.60459,
11129  6.01279, 5.48062, 4.91332, 4.46502, 4.01897, 3.65337,
11130  3.3062, 2.90617, 2.63949, 2.33944, 2.09099, 1.85399,
11131  1.62746, 1.44111, 1.26732, 1.10207, 0.955866, 0.830591,
11132  0.698847, 0.595941, 0.501404, 0.4189, 0.344024, 0.27877,
11133  0.220297, 0.165602, 0.0, 0.0, 0.0, 0.0,
11134  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11135  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11136  0.0, 0.0, 0.0, 0.0, 1161.23, 1123.16,
11137  1082.34, 1038.58, 991.647, 941.326, 887.368, 829.511,
11138  767.473, 700.951, 629.622, 553.138, 471.127, 383.19,
11139  288.897, 187.79, 131.304, 125.948, 120.205, 114.046,
11140  107.443, 100.362, 92.7701, 84.6291, 75.8997, 67.9241,
11141  64.4404, 60.705, 56.6996, 52.4047, 47.7994, 44.3383,
11142  41.4992, 38.4548, 35.1905, 32.6067, 30.3963, 28.0262,
11143  25.8998, 24.0487, 22.0639, 20.5333, 18.9359, 17.5282,
11144  16.1197, 14.837, 13.5447, 12.3556, 11.365, 10.4215,
11145  9.44604, 8.7392, 7.93281, 7.27973, 6.67131, 6.09576,
11146  5.49589, 4.95888, 4.48355, 4.08352, 3.65825, 3.29557,
11147  2.92448, 2.62219, 2.31124, 2.06274, 1.82806, 1.61082,
11148  1.42223, 1.22709, 1.05807, 0.931885, 0.796204, 0.67277,
11149  0.571064, 0.47615, 0.394669, 0.320065, 0.257231, 0.194131,
11150  0.250664, 0.0, 0.0, 0.0, 0.0, 0.0,
11151  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11152  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11153  0.0, 0.0, 1264.96, 1224.73, 1181.6, 1135.35,
11154  1085.76, 1032.58, 975.562, 914.423, 848.866, 778.571,
11155  703.196, 622.374, 535.711, 442.786, 343.144, 236.302,
11156  146.038, 140.32, 134.189, 127.615, 120.565, 113.007,
11157  104.902, 96.2109, 86.8921, 76.8998, 72.6596, 68.5134,
11158  64.0676, 59.3004, 54.1888, 49.6224, 46.4103, 42.9661,
11159  39.273, 35.9323, 33.5307, 30.9556, 28.4084, 26.4477,
11160  24.3454, 22.5207, 20.7964, 19.1686, 17.6701, 16.2747,
11161  14.9292, 13.7408, 12.6698, 11.7668, 10.7427, 9.73957,
11162  8.88094, 8.14529, 7.43627, 6.78868, 6.05845, 5.51546,
11163  4.99784, 4.51617, 4.02373, 3.67024, 3.23167, 2.91858,
11164  2.58515, 2.28962, 2.05747, 1.80391, 1.57148, 1.38042,
11165  1.20014, 1.04025, 0.890906, 0.760064, 0.648297, 0.535666,
11166  0.448246, 0.361339, 0.289786, 0.222447, 0.164626, 0.0,
11167  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11168  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11169  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11170  1370.75, 1328.42, 1283.02, 1234.34, 1182.14, 1126.18,
11171  1066.16, 1001.81, 932.811, 858.824, 779.49, 694.423,
11172  603.208, 505.401, 400.526, 288.073, 167.492, 154.7,
11173  147.891, 140.59, 132.761, 124.367, 115.366, 105.715,
11174  95.3662, 84.2695, 77.8238, 73.6559, 69.1867, 64.3945,
11175  59.2561, 53.9866, 50.8751, 47.5388, 43.9613, 40.2465,
11176  37.6806, 34.9294, 31.9793, 29.681, 27.261, 25.0198,
11177  23.1984, 21.3339, 19.6789, 18.0866, 16.7773, 15.3721,
11178  13.9458, 12.8613, 11.746, 10.6815, 9.7522, 8.96511,
11179  8.21273, 7.48582, 6.76197, 6.13314, 5.52442, 4.97922,
11180  4.54465, 4.03999, 3.60584, 3.19421, 2.89825, 2.56387,
11181  2.25676, 2.00536, 1.77315, 1.53041, 1.33688, 1.16444,
11182  0.98726, 0.84541, 0.716921, 0.600129, 0.504859, 0.406451,
11183  0.330189, 0.259465, 0.193894, 0.0, 0.0, 0.0,
11184  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11185  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11186  0.0, 0.0, 0.0, 0.0, 1509.08, 1463.49,
11187  1414.62, 1362.2, 1306.01, 1245.75, 1181.13, 1111.85,
11188  1037.56, 957.895, 872.478, 780.888, 682.679, 577.373,
11189  464.456, 343.38, 213.553, 165.737, 158.763, 151.285,
11190  143.267, 134.669, 125.45, 115.565, 104.965, 93.5998,
11191  84.7214, 80.167, 75.2835, 70.0471, 64.4322, 58.4116,
11192  54.7809, 51.5099, 48.0025, 44.2417, 41.1892, 38.144,
11193  34.8787, 32.2897, 29.9417, 27.5117, 25.5614, 23.4701,
11194  21.8202, 20.0988, 18.4668, 16.8935, 15.4945, 14.2298,
11195  13.0104, 11.91, 10.9856, 9.9599, 9.04809, 8.22025,
11196  7.46979, 6.81447, 6.11637, 5.52683, 4.99404, 4.4706,
11197  3.99363, 3.56548, 3.1887, 2.8273, 2.51185, 2.20824,
11198  1.94103, 1.7101, 1.47219, 1.27756, 1.1031, 0.950109,
11199  0.796488, 0.666218, 0.555069, 0.461324, 0.371983, 0.292208,
11200  0.224258, 0.0, 0.0, 0.0, 0.0, 0.0,
11201  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11202  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11203  0.0, 0.0, 1623.81, 1575.99, 1524.73, 1469.76,
11204  1410.81, 1347.61, 1279.83, 1207.17, 1129.24, 1045.69,
11205  956.102, 860.037, 757.03, 646.579, 528.145, 401.153,
11206  264.984, 178.96, 171.759, 164.038, 155.759, 146.882,
11207  137.363, 127.156, 116.211, 104.476, 93.1252, 88.2305,
11208  82.982, 77.3542, 71.3198, 64.8492, 59.9008, 56.1771,
11209  52.1844, 47.9032, 44.4192, 41.5926, 38.5617, 35.6442,
11210  32.9738, 30.1104, 28.0677, 26.047, 24.1214, 22.1707,
11211  20.2567, 18.3482, 16.9796, 15.6867, 14.4105, 13.0719,
11212  11.9226, 10.935, 9.90209, 9.04118, 8.19057, 7.39226,
11213  6.75404, 6.09836, 5.42785, 4.91427, 4.3887, 3.91933,
11214  3.48284, 3.09579, 2.76984, 2.43337, 2.12915, 1.85468,
11215  1.61455, 1.40381, 1.21543, 1.03833, 0.8802, 0.742496,
11216  0.615736, 0.506721, 0.413385, 0.329911, 0.253396, 0.234824,
11217  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11218  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11219  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11220  1681.61, 1633.47, 1581.85, 1526.49, 1467.13, 1403.49,
11221  1335.25, 1262.07, 1183.61, 1099.47, 1009.26, 912.521,
11222  808.796, 697.575, 578.316, 450.439, 313.32, 190.588,
11223  183.134, 175.142, 166.572, 157.382, 147.529, 136.963,
11224  125.634, 113.486, 100.461, 94.6332, 89.3664, 83.7189,
11225  77.6632, 71.17, 65.2375, 61.2285, 56.9297, 52.3203,
11226  47.9711, 44.7138, 41.2211, 37.7405, 35.2948, 32.6725,
11227  30.3229, 28.111, 25.9511, 23.9226, 22.0266, 20.2355,
11228  18.5599, 16.9444, 15.4631, 14.1245, 12.9583, 11.9356,
11229  10.877, 9.82323, 8.95291, 8.13185, 7.35394, 6.65403,
11230  5.9914, 5.36015, 4.82789, 4.27332, 3.80803, 3.39516,
11231  2.98725, 2.61968, 2.30369, 2.04803, 1.76073, 1.54164,
11232  1.32032, 1.13615, 0.968908, 0.810391, 0.674882, 0.552636,
11233  0.457934, 0.36742, 0.282144, 0.21226, 0.0, 0.0,
11234  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11235  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11236  0.0, 0.0, 0.0, 0.0, 1771.82, 1722.21,
11237  1669.02, 1611.98, 1550.82, 1485.25, 1414.93, 1339.53,
11238  1258.68, 1171.99, 1079.04, 979.367, 872.492, 757.893,
11239  635.013, 503.252, 361.969, 210.477, 190.955, 182.86,
11240  174.181, 164.873, 154.893, 144.192, 132.718, 120.414,
11241  107.222, 99.1125, 93.8234, 88.1521, 82.0709, 75.5502,
11242  68.7694, 64.7162, 60.3702, 55.7101, 50.8206, 47.4638,
11243  43.8644, 40.0049, 37.2264, 34.3578, 31.7716, 29.898,
11244  27.8563, 25.5173, 23.2326, 21.333, 19.8124, 18.4492,
11245  16.6498, 15.294, 14.0159, 12.7979, 11.6848, 10.5786,
11246  9.65151, 8.73851, 7.84533, 7.18808, 6.42108, 5.74394,
11247  5.1202, 4.66168, 4.10628, 3.65223, 3.23056, 2.85533,
11248  2.47803, 2.1708, 1.89964, 1.64627, 1.42324, 1.2174,
11249  1.03458, 0.871357, 0.718659, 0.600932, 0.488683, 0.39658,
11250  0.305499, 0.230499, 0.0, 0.0, 0.0, 0.0,
11251  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11252  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11253  0.0, 0.0, 1773.93, 1725.57, 1673.72, 1618.13,
11254  1558.52, 1494.6, 1426.06, 1352.56, 1273.76, 1189.26,
11255  1098.65, 1001.5, 897.321, 785.617, 665.841, 537.409,
11256  399.695, 252.03, 196.849, 188.703, 179.969, 170.603,
11257  160.561, 149.793, 138.246, 125.865, 112.59, 102.073,
11258  96.4785, 90.4799, 84.0478, 77.1508, 69.7555, 65.3561,
11259  61.4403, 57.2416, 52.7393, 49.4125, 46.2046, 42.7649,
11260  39.5861, 36.4217, 33.1961, 31.0449, 28.7382, 26.7741,
11261  24.7285, 23.0478, 21.1631, 19.0052, 17.5305, 16.1567,
11262  14.7928, 13.4401, 12.3302, 11.2861, 10.4198, 9.39402,
11263  8.46307, 7.6112, 6.85952, 6.16285, 5.51022, 4.9282,
11264  4.44628, 3.8838, 3.41937, 3.04688, 2.67085, 2.32081,
11265  2.00543, 1.7317, 1.50998, 1.27992, 1.10062, 0.922983,
11266  0.76202, 0.635936, 0.516392, 0.413606, 0.332694, 0.245723,
11267  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11268  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11269  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11270  1799.18, 1751.02, 1699.38, 1644.01, 1584.64, 1520.97,
11271  1452.71, 1379.51, 1301.02, 1216.86, 1126.62, 1029.86,
11272  926.103, 814.849, 695.555, 567.64, 430.481, 283.41,
11273  192.914, 185.145, 176.814, 167.881, 158.302, 148.031,
11274  137.018, 125.21, 112.547, 100.493, 95.5348, 90.2188,
11275  84.5186, 78.4064, 71.8526, 66.7638, 62.7517, 58.4497,
11276  53.8369, 49.961, 46.629, 43.0563, 39.8457, 37.2042,
11277  34.3718, 31.9457, 29.4317, 27.3193, 25.3099, 23.4863,
11278  21.6479, 19.9118, 18.4142, 16.9599, 15.3072, 14.018,
11279  12.7332, 11.7236, 10.7422, 9.86515, 8.8634, 7.96803,
11280  7.21497, 6.49092, 5.81109, 5.18592, 4.62365, 4.08223,
11281  3.58783, 3.16273, 2.78362, 2.42848, 2.10407, 1.82789,
11282  1.56827, 1.34249, 1.13516, 0.952821, 0.799136, 0.657622,
11283  0.536538, 0.427, 0.340797, 0.259532, 0.268313, 0.0,
11284  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11285  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11286  0.0, 0.0, 0.0, 0.0, 1710.33, 1665.79,
11287  1618.02, 1566.81, 1511.89, 1453.0, 1389.86, 1322.15,
11288  1249.55, 1171.7, 1088.23, 998.728, 902.756, 799.848,
11289  689.503, 571.184, 444.315, 308.277, 191.519, 183.969,
11290  175.875, 167.195, 157.888, 147.909, 137.208, 125.734,
11291  113.431, 100.238, 94.9555, 89.9698, 84.6238, 78.8915,
11292  72.7449, 67.1524, 63.0974, 58.7493, 54.0869, 49.7405,
11293  46.3951, 42.808, 39.2782, 36.7197, 33.9763, 31.7153,
11294  29.6797, 27.6762, 25.7384, 23.7907, 21.8001, 20.1455,
11295  18.5544, 17.0674, 15.8369, 14.4701, 13.3319, 12.14,
11296  11.0742, 10.1461, 9.24312, 8.23605, 7.47371, 6.68118,
11297  5.97699, 5.38287, 4.77464, 4.25415, 3.74047, 3.30114,
11298  2.87054, 2.51713, 2.18321, 1.86613, 1.59741, 1.37534,
11299  1.16273, 0.97116, 0.819057, 0.667667, 0.546587, 0.442596,
11300  0.349392, 0.262373, 0.192756, 0.0, 0.0, 0.0,
11301  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11302  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11303  0.0, 0.0, 1598.86, 1558.21, 1514.64, 1467.91,
11304  1417.8, 1364.07, 1306.47, 1244.69, 1178.46, 1107.43,
11305  1031.28, 949.617, 862.056, 768.167, 667.494, 559.544,
11306  443.794, 319.679, 186.594, 176.078, 168.409, 160.187,
11307  151.37, 141.916, 131.779, 120.91, 109.255, 96.7571,
11308  89.6182, 84.7229, 79.4739, 73.8455, 67.8104, 61.7708,
11309  58.6443, 55.2918, 51.697, 47.9586, 44.9247, 41.6716,
11310  38.1834, 36.1207, 33.9422, 31.6741, 29.3413, 27.0198,
11311  25.1247, 23.2736, 21.6366, 19.9807, 18.3398, 16.9697,
11312  15.7791, 14.6206, 13.3612, 12.1872, 11.23, 10.2226,
11313  9.37457, 8.39439, 7.67344, 6.96489, 6.17442, 5.53228,
11314  4.93549, 4.34526, 3.82524, 3.36869, 2.92292, 2.54586,
11315  2.21031, 1.89453, 1.61867, 1.38997, 1.16852, 0.983896,
11316  0.819861, 0.668013, 0.549314, 0.437486, 0.337695, 0.261156,
11317  0.194144, 0.0, 0.0, 0.0, 0.0, 0.0,
11318  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11319  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11320  1500.96, 1463.43, 1423.18, 1380.02, 1333.75, 1284.13,
11321  1230.92, 1173.87, 1112.7, 1047.11, 976.776, 901.36,
11322  820.493, 733.783, 640.807, 541.111, 434.211, 319.585,
11323  196.675, 159.905, 153.479, 146.588, 139.199, 131.276,
11324  122.781, 113.672, 103.904, 93.4305, 85.639, 81.2053,
11325  76.4512, 71.3536, 65.8875, 60.0264, 56.4484, 52.9499,
11326  49.1986, 45.1762, 42.5286, 39.915, 37.1126, 34.794,
11327  32.5374, 30.1931, 28.0137, 25.6907, 24.258, 22.7115,
11328  20.979, 19.5024, 18.3899, 16.8523, 15.6513, 14.5385,
11329  13.2483, 12.3511, 11.4948, 10.3924, 9.38415, 8.5341,
11330  7.76954, 6.98382, 6.29406, 5.57582, 4.97196, 4.4159,
11331  3.91744, 3.44728, 2.97091, 2.58364, 2.25291, 1.921,
11332  1.64023, 1.39108, 1.17056, 0.970248, 0.806104, 0.658726,
11333  0.539236, 0.434235, 0.335481, 0.258256, 0.184139, 0.0,
11334  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11335  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11336  0.0, 0.0, 0.0, 0.0, 1356.28, 1323.14,
11337  1287.61, 1249.52, 1208.67, 1164.86, 1117.89, 1067.53,
11338  1013.53, 955.625, 893.536, 826.959, 755.572, 679.025,
11339  596.947, 508.937, 414.567, 313.377, 204.874, 147.983,
11340  142.14, 135.875, 129.158, 121.954, 114.231, 105.949,
11341  97.0688, 87.5468, 79.0316, 75.042, 70.7641, 66.177,
11342  61.2585, 55.9844, 52.1942, 49.0773, 45.7352, 42.1516,
11343  39.5897, 37.5169, 35.2943, 33.0269, 30.7002, 28.2054,
11344  26.6522, 25.0254, 23.3302, 21.5259, 20.083, 18.6414,
11345  17.2679, 16.0842, 15.0291, 14.079, 13.0797, 12.3357,
11346  11.1805, 10.2246, 9.39387, 8.63785, 7.85576, 7.08175,
11347  6.37527, 5.64755, 5.09771, 4.50738, 4.02329, 3.47968,
11348  3.09228, 2.62473, 2.27294, 1.92261, 1.62871, 1.38415,
11349  1.16824, 0.972547, 0.791798, 0.656352, 0.526466, 0.415549,
11350  0.328273, 0.246296, 0.18517, 0.0, 0.0, 0.0,
11351  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11352  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11353  0.0, 0.0, 1209.28, 1180.34, 1149.3, 1116.03,
11354  1080.35, 1042.09, 1001.07, 957.081, 909.914, 859.339,
11355  805.11, 746.961, 684.609, 617.752, 546.064, 469.194,
11356  386.77, 298.388, 203.62, 132.737, 127.609, 122.11,
11357  116.214, 109.892, 103.112, 95.8432, 88.0487, 79.691,
11358  70.9545, 67.6534, 64.1138, 60.3183, 56.2486, 51.8847,
11359  48.1728, 45.4004, 42.4277, 39.2402, 36.4457, 34.2532,
11360  31.9022, 29.6678, 27.9115, 26.0284, 24.3209, 22.5975,
11361  21.2665, 20.2361, 18.8798, 17.3154, 16.1883, 15.1735,
11362  14.2818, 13.3924, 12.3553, 11.5709, 10.5918, 9.95048,
11363  9.0661, 8.44151, 7.69892, 6.95307, 6.40953, 5.80697,
11364  5.20251, 4.61348, 4.07244, 3.51152, 3.06764, 2.68057,
11365  2.29988, 1.94431, 1.65778, 1.39036, 1.15494, 0.951846,
11366  0.783705, 0.63772, 0.518723, 0.412388, 0.31475, 0.240834,
11367  0.178001, 0.124412, 0.0, 0.0, 0.0, 0.0,
11368  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11369  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11370  1080.79, 1055.4, 1028.18, 998.983, 967.681, 934.116,
11371  898.126, 859.535, 818.155, 773.785, 726.208, 675.193,
11372  620.491, 561.836, 498.942, 431.503, 359.19, 281.652,
11373  198.51, 117.79, 113.302, 108.491, 103.332, 97.7999,
11374  91.8681, 85.5077, 78.6876, 71.3747, 63.5333, 59.782,
11375  56.7945, 53.5912, 50.1564, 46.4733, 42.9974, 40.8257,
11376  38.4971, 36.0003, 33.5157, 31.5136, 29.3668, 27.1349,
11377  25.3726, 23.483, 21.859, 20.4773, 19.1074, 17.8436,
11378  16.7302, 15.8166, 14.9185, 14.0664, 13.3615, 12.3183,
11379  11.5815, 10.9954, 10.3267, 9.48647, 8.81908, 8.16727,
11380  7.615, 6.92346, 6.38163, 5.85365, 5.23189, 4.62352,
11381  4.17008, 3.61306, 3.17846, 2.72118, 2.37222, 1.95641,
11382  1.68019, 1.39633, 1.15076, 0.956549, 0.78752, 0.620553,
11383  0.505308, 0.395229, 0.305212, 0.231962, 0.170993, 0.121066,
11384  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11385  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11386  0.0, 0.0, 0.0, 0.0, 935.523, 914.077,
11387  891.081, 866.423, 839.983, 811.632, 781.233, 748.637,
11388  713.685, 676.207, 636.021, 592.931, 546.726, 497.183,
11389  444.059, 387.097, 326.017, 260.524, 190.297, 114.996,
11390  102.608, 98.4255, 93.9412, 89.1328, 83.977, 78.4485,
11391  72.5206, 66.1642, 59.3485, 54.8508, 51.8641, 48.6616,
11392  45.2277, 41.5456, 37.6645, 35.7864, 33.7725, 31.6131,
11393  29.3132, 27.5795, 25.7205, 23.7272, 22.5055, 21.3093,
11394  20.0504, 18.7514, 17.4085, 16.2603, 15.0988, 14.0566,
11395  13.2528, 12.616, 11.9576, 11.3401, 10.8547, 10.3012,
11396  9.55424, 9.03411, 8.38498, 7.86648, 7.29531, 6.81779,
11397  6.33567, 5.76346, 5.19718, 4.67914, 4.20061, 3.70775,
11398  3.21201, 2.79657, 2.40885, 2.03856, 1.72478, 1.41514,
11399  1.17494, 0.960845, 0.774837, 0.630205, 0.497218, 0.394717,
11400  0.299843, 0.222725, 0.165041, 0.118239, 0.0, 0.0,
11401  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11402  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11403  0.0, 0.0, 828.778, 810.08, 790.031, 768.533,
11404  745.482, 720.765, 694.261, 665.843, 635.37, 602.695,
11405  567.659, 530.091, 489.809, 446.615, 400.299, 350.636,
11406  297.385, 240.285, 179.058, 113.407, 89.1191, 85.6012,
11407  81.8291, 77.7843, 73.4473, 68.7969, 63.8103, 58.4635,
11408  52.7302, 48.2125, 45.8322, 43.2799, 40.5432, 37.6086,
11409  34.4621, 32.3289, 30.3182, 28.1621, 25.8502, 24.4024,
11410  23.0924, 21.6877, 20.3443, 18.9807, 17.5844, 16.5873,
11411  15.5181, 14.9537, 14.3635, 13.3622, 12.4252, 11.6451,
11412  11.0669, 10.4347, 9.79564, 9.30139, 8.80702, 8.37478,
11413  7.84048, 7.31584, 6.87881, 6.50576, 6.05295, 5.57235,
11414  5.18529, 4.73012, 4.27484, 3.79151, 3.32036, 2.89815,
11415  2.447, 2.09343, 1.75406, 1.44294, 1.18554, 0.979613,
11416  0.785427, 0.619695, 0.492809, 0.383072, 0.297669, 0.221523,
11417  0.158688, 0.108714, 0.0, 0.0, 0.0, 0.0,
11418  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11419  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11420  724.461, 708.461, 691.305, 672.909, 653.183, 632.032,
11421  609.352, 585.034, 558.958, 530.997, 501.016, 468.869,
11422  434.398, 397.436, 357.802, 315.305, 269.736, 220.875,
11423  168.482, 112.303, 79.8376, 76.6638, 73.2606, 69.6114,
11424  65.6986, 61.503, 57.0041, 52.1802, 47.0077, 42.207,
11425  40.0858, 37.8113, 35.3725, 32.7574, 29.9533, 28.0427,
11426  26.6908, 25.2413, 23.687, 22.2238, 20.7886, 19.2497,
11427  17.9709, 17.0111, 15.9819, 15.0505, 14.0681, 13.2641,
11428  12.4924, 11.8928, 11.275, 10.5396, 9.86968, 9.26913,
11429  8.76205, 8.30336, 7.93867, 7.56603, 7.12492, 6.84118,
11430  6.42846, 6.06341, 5.76695, 5.43886, 5.04269, 4.67953,
11431  4.25297, 3.85542, 3.43933, 3.02055, 2.55216, 2.20648,
11432  1.83538, 1.48945, 1.22657, 0.987371, 0.798065, 0.633427,
11433  0.496223, 0.384902, 0.292779, 0.217594, 0.156334, 0.110038,
11434  0.0711604, 0.0, 0.0, 0.0, 0.0, 0.0,
11435  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11436  0.0, 0.0, 0.0, 0.0, 645.786, 631.782,
11437  616.767, 600.666, 583.402, 564.891, 545.041, 523.757,
11438  500.935, 476.463, 450.223, 422.087, 391.918, 359.568,
11439  324.88, 287.686, 247.803, 205.039, 159.184, 110.015,
11440  71.4698, 68.6191, 65.5624, 62.2849, 58.7704, 55.002,
11441  50.9612, 46.6285, 41.9826, 37.0127, 35.3598, 33.5875,
11442  31.687, 29.6493, 27.4642, 25.5243, 24.0214, 22.4099,
11443  20.6819, 19.2058, 18.1807, 17.0815, 16.0016, 15.1024,
11444  14.1382, 13.2345, 12.3186, 11.5885, 11.0271, 10.5481,
11445  10.1025, 9.37557, 8.82415, 8.47193, 8.01304, 7.50912,
11446  7.27525, 6.91222, 6.53511, 6.15363, 6.06967, 5.67055,
11447  5.38017, 5.07942, 4.87625, 4.47068, 4.22529, 3.88478,
11448  3.51661, 3.0811, 2.69261, 2.28407, 1.90673, 1.59475,
11449  1.27058, 1.03198, 0.829183, 0.649437, 0.505741, 0.389584,
11450  0.294875, 0.217494, 0.157026, 0.106916, 0.0678704, 0.0,
11451  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11452  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11453  0.0, 0.0, 578.622, 566.219, 552.919, 538.658,
11454  523.366, 506.969, 489.387, 470.535, 450.32, 428.645,
11455  405.403, 380.481, 353.758, 325.105, 294.38, 261.435,
11456  226.109, 188.231, 147.615, 104.063, 61.0168, 58.7503,
11457  56.3201, 53.7142, 50.9201, 47.924, 44.7114, 41.2666,
11458  37.5729, 33.6122, 31.5445, 29.8689, 28.0722, 26.1457,
11459  24.0799, 22.1514, 21.1185, 20.011, 18.8234, 17.5922,
11460  16.4313, 15.1866, 13.9101, 13.1801, 12.3974, 11.698,
11461  11.082, 10.4471, 9.81722, 9.19511, 8.59414, 8.14328,
11462  7.7623, 7.47443, 7.07826, 6.77929, 6.49778, 6.20616,
11463  5.89264, 5.62776, 5.46388, 5.18497, 5.02972, 4.72733,
11464  4.5531, 4.38077, 4.10113, 3.81198, 3.50256, 3.13626,
11465  2.71325, 2.40654, 2.02216, 1.67112, 1.35774, 1.08485,
11466  0.861004, 0.677733, 0.522202, 0.396943, 0.300358, 0.220798,
11467  0.15604, 0.109008, 0.0682991, 0.0, 0.0, 0.0,
11468  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11469  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11470  499.692, 489.198, 477.946, 465.88, 452.943, 439.07,
11471  424.196, 408.246, 391.143, 372.805, 353.141, 332.056,
11472  309.448, 285.206, 259.211, 231.339, 201.451, 169.404,
11473  135.042, 98.1954, 58.6865, 52.2204, 50.0914, 47.8085,
11474  45.3606, 42.7358, 39.9214, 36.9036, 33.6676, 30.1978,
11475  27.9491, 26.5013, 24.9489, 23.2843, 21.4994, 19.6152,
11476  18.6247, 17.5627, 16.4239, 15.2126, 14.383, 13.4935,
11477  12.5396, 11.8273, 11.1022, 10.4237, 9.90784, 9.3622,
11478  8.82077, 8.27561, 7.79468, 7.32914, 6.8898, 6.648,
11479  6.4326, 6.03321, 5.58603, 5.41163, 5.27652, 5.13645,
11480  4.91596, 4.7992, 4.55641, 4.40696, 4.29969, 4.12022,
11481  3.83006, 3.70836, 3.46768, 3.18743, 2.88217, 2.47504,
11482  2.14286, 1.7882, 1.45914, 1.15561, 0.908184, 0.708945,
11483  0.553006, 0.407344, 0.305879, 0.223767, 0.157389, 0.110126,
11484  0.0701362, 0.0, 0.0, 0.0, 0.0, 0.0,
11485  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11486  0.0, 0.0, 0.0, 0.0, 443.007, 433.9,
11487  424.135, 413.664, 402.436, 390.397, 377.488, 363.645,
11488  348.803, 332.888, 315.823, 297.524, 277.903, 256.864,
11489  234.305, 210.115, 184.178, 156.366, 126.544, 94.5664,
11490  60.2783, 48.0166, 46.0195, 43.878, 41.5818, 39.1196,
11491  36.4796, 33.6487, 30.6132, 27.3584, 24.889, 23.6897,
11492  22.4037, 21.0248, 19.5462, 17.9608, 16.9244, 15.9458,
11493  14.8965, 13.7714, 12.951, 12.153, 11.2973, 10.6119,
11494  9.97916, 9.33323, 8.85637, 8.34506, 7.77045, 7.18279,
11495  6.95739, 6.62797, 6.13961, 5.82497, 5.57976, 5.38155,
11496  5.15753, 4.82928, 4.70957, 4.54627, 4.37333, 4.22151,
11497  4.07785, 4.06169, 3.91975, 3.8476, 3.66169, 3.58648,
11498  3.4187, 3.17728, 2.91707, 2.60165, 2.24981, 1.8819,
11499  1.54226, 1.24331, 0.971164, 0.756882, 0.57602, 0.43174,
11500  0.32088, 0.237043, 0.165595, 0.114055, 0.0721179, 0.0,
11501  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11502  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11503  0.0, 0.0, 399.544, 391.415, 382.699, 373.353,
11504  363.331, 352.585, 341.063, 328.708, 315.46, 301.254,
11505  286.022, 269.69, 252.176, 233.398, 213.262, 191.671,
11506  168.52, 143.695, 117.077, 88.5348, 57.9301, 41.2564,
11507  39.651, 37.9297, 36.0839, 34.1048, 31.9826, 29.7071,
11508  27.2671, 24.6508, 22.2783, 21.2035, 20.051, 18.8153,
11509  17.4902, 16.0694, 15.0633, 14.2727, 13.425, 12.5161,
11510  11.738, 11.0172, 10.2442, 9.55964, 8.96701, 8.33156,
11511  7.94109, 7.53919, 7.0712, 6.55801, 6.19501, 5.85362,
11512  5.57137, 5.31394, 5.07447, 4.84326, 4.54528, 4.36633,
11513  4.24175, 4.05884, 3.96282, 3.82786, 3.71794, 3.68457,
11514  3.54264, 3.51274, 3.39024, 3.35658, 3.25438, 3.06485,
11515  2.91398, 2.58588, 2.33459, 2.00517, 1.65843, 1.33832,
11516  1.04943, 0.804921, 0.612289, 0.453736, 0.342497, 0.247788,
11517  0.172961, 0.117374, 0.075337, 0.0425086, 0.0, 0.0,
11518  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11519  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11520  358.623, 351.471, 343.802, 335.579, 326.762, 317.307,
11521  307.17, 296.299, 284.644, 272.145, 258.744, 244.374,
11522  228.965, 212.444, 194.728, 175.731, 155.362, 133.521,
11523  110.102, 84.99, 58.0634, 38.2449, 36.7832, 35.2158,
11524  33.5352, 31.7331, 29.8008, 27.7288, 25.5071, 23.1248,
11525  20.6497, 19.6017, 18.4781, 17.2732, 15.9813, 14.596,
11526  13.5032, 12.7993, 12.0446, 11.2353, 10.5093, 9.90526,
11527  9.25758, 8.6544, 8.20093, 7.71469, 7.29814, 6.88539,
11528  6.4131, 5.88494, 5.56979, 5.34392, 5.0723, 4.80717,
11529  4.55373, 4.31611, 4.10362, 3.88861, 3.76406, 3.63436,
11530  3.44713, 3.4141, 3.35267, 3.28283, 3.18503, 3.1788,
11531  3.14463, 3.05787, 3.05815, 2.90782, 2.82387, 2.65216,
11532  2.40609, 2.10139, 1.76626, 1.44152, 1.12788, 0.875255,
11533  0.664737, 0.485066, 0.36416, 0.258319, 0.18356, 0.123322,
11534  0.0784375, 0.0453313, 0.0, 0.0, 0.0, 0.0,
11535  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11536  0.0, 0.0, 0.0, 0.0, 338.492, 331.823,
11537  324.671, 317.003, 308.78, 299.963, 290.509, 280.372,
11538  269.502, 257.847, 245.349, 231.948, 217.579, 202.171,
11539  185.65, 167.935, 148.94, 128.572, 106.732, 83.3135,
11540  58.2028, 34.9565, 33.645, 32.2386, 30.7306, 29.1136,
11541  27.3798, 25.5207, 23.5272, 21.3896, 19.0976, 17.9555,
11542  16.9415, 15.8541, 14.6883, 13.4381, 12.3151, 11.6833,
11543  11.0057, 10.2793, 9.56538, 8.97813, 8.34845, 7.7172,
11544  7.30687, 6.86688, 6.44826, 6.03934, 5.6613, 5.34848,
11545  5.07346, 4.83752, 4.54899, 4.27106, 4.0458, 3.88013,
11546  3.69487, 3.56689, 3.38004, 3.27383, 3.16167, 3.05017,
11547  2.95039, 2.91952, 2.85919, 2.83697, 2.80482, 2.81168,
11548  2.78619, 2.77758, 2.7204, 2.59258, 2.44386, 2.19584,
11549  1.88227, 1.56067, 1.22052, 0.956886, 0.715533, 0.533913,
11550  0.38905, 0.276978, 0.193953, 0.1318, 0.0834485, 0.0484301,
11551  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11552  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11553  0.0, 0.0, 291.931, 286.291, 280.243, 273.758,
11554  266.805, 259.349, 251.354, 242.782, 233.59, 223.733,
11555  213.165, 201.832, 189.681, 176.652, 162.681, 147.7,
11556  131.637, 114.412, 95.9434, 76.1398, 54.9051, 32.1357,
11557  30.1048, 28.9185, 27.6465, 26.2825, 24.82, 23.2518,
11558  21.5702, 19.7671, 17.8337, 16.6136, 15.7094, 14.7398,
11559  13.7002, 12.5854, 11.4537, 10.8177, 10.1356, 9.40433,
11560  8.65727, 8.22442, 7.7603, 7.26263, 6.80766, 6.32267,
11561  5.89688, 5.58703, 5.26579, 4.96088, 4.66763, 4.42248,
11562  4.17409, 3.92301, 3.69242, 3.51559, 3.33848, 3.17645,
11563  3.05013, 2.93607, 2.80737, 2.69159, 2.69174, 2.58911,
11564  2.5667, 2.53672, 2.52157, 2.54496, 2.55813, 2.56301,
11565  2.52226, 2.49149, 2.41624, 2.21269, 1.96832, 1.66602,
11566  1.34468, 1.04882, 0.77677, 0.580711, 0.419116, 0.303913,
11567  0.210353, 0.142042, 0.0896513, 0.0523487, 0.0, 0.0,
11568  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11569  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11570  269.894, 264.767, 259.268, 253.373, 247.051, 240.273,
11571  233.004, 225.211, 216.854, 207.893, 198.285, 187.982,
11572  176.935, 165.089, 152.388, 138.768, 124.164, 108.505,
11573  91.7145, 73.7102, 54.4049, 33.7044, 28.1392, 26.9842,
11574  25.7458, 24.4178, 22.9939, 21.4671, 19.8299, 18.0744,
11575  16.192, 14.8724, 14.1562, 13.3883, 12.5648, 11.6819,
11576  10.7351, 10.1201, 9.49425, 8.82314, 8.10352, 7.60511,
11577  7.09625, 6.55062, 6.14748, 5.76575, 5.38423, 5.07606,
11578  4.75143, 4.52811, 4.27939, 3.96138, 3.72039, 3.57028,
11579  3.41643, 3.21552, 3.00857, 2.84852, 2.75289, 2.71505,
11580  2.54946, 2.47231, 2.42471, 2.35616, 2.28516, 2.27685,
11581  2.25491, 2.26659, 2.32137, 2.31521, 2.32468, 2.35463,
11582  2.32075, 2.22336, 2.03679, 1.78454, 1.44007, 1.13353,
11583  0.869217, 0.630183, 0.460111, 0.323644, 0.224527, 0.15379,
11584  0.0997186, 0.0582167, 0.0, 0.0, 0.0, 0.0,
11585  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11586  0.0, 0.0, 0.0, 0.0, 251.839, 247.133,
11587  242.087, 236.676, 230.874, 224.653, 217.983, 210.83,
11588  203.16, 194.936, 186.118, 176.662, 166.523, 155.652,
11589  143.994, 131.495, 118.092, 103.72, 88.3098, 71.7859,
11590  54.0679, 35.0694, 26.603, 25.5203, 24.3594, 23.1146,
11591  21.7798, 20.3486, 18.8139, 17.1683, 15.4039, 13.9334,
11592  13.2282, 12.4721, 11.6614, 10.792, 9.85983, 9.23265,
11593  8.68864, 8.10533, 7.47985, 6.99643, 6.54546, 6.0619,
11594  5.68273, 5.36705, 5.03088, 4.71945, 4.38551, 4.14649,
11595  3.90844, 3.69891, 3.46935, 3.2102, 3.09258, 2.94005,
11596  2.73253, 2.61673, 2.4949, 2.33439, 2.3068, 2.21073,
11597  2.15878, 2.09709, 2.10345, 2.04244, 2.04307, 2.01685,
11598  2.06683, 2.10175, 2.13549, 2.17918, 2.18497, 2.17443,
11599  2.03773, 1.84259, 1.5591, 1.23438, 0.938893, 0.691365,
11600  0.497732, 0.354179, 0.245878, 0.164311, 0.105367, 0.065215,
11601  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11602  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11603  0.0, 0.0, 232.772, 228.479, 223.876, 218.939,
11604  213.647, 207.971, 201.886, 195.36, 188.364, 180.861,
11605  172.816, 164.19, 154.941, 145.023, 134.388, 122.985,
11606  110.758, 97.6473, 83.589, 68.5148, 52.3511, 35.0194,
11607  24.2805, 23.361, 22.3751, 21.318, 20.1844, 18.969,
11608  17.6657, 16.2682, 14.7697, 13.324, 12.6426, 11.9119,
11609  11.1285, 10.2884, 9.38766, 8.71317, 8.21073, 7.67199,
11610  7.09432, 6.6071, 6.18817, 5.73897, 5.32395, 4.96644,
11611  4.5831, 4.32672, 4.07481, 3.85543, 3.64287, 3.44438,
11612  3.24458, 3.06731, 2.90259, 2.74878, 2.60358, 2.4241,
11613  2.28697, 2.19644, 2.131, 2.05147, 1.9426, 1.8904,
11614  1.8818, 1.86511, 1.82369, 1.83986, 1.83512, 1.89035,
11615  1.95091, 1.99856, 2.04059, 2.06115, 2.02428, 1.88933,
11616  1.64069, 1.35948, 1.02477, 0.767533, 0.54941, 0.388748,
11617  0.269207, 0.180029, 0.116969, 0.0701379, 0.0361669, 0.0,
11618  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11619  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11620  220.889, 216.862, 212.544, 207.913, 202.948, 197.624,
11621  191.916, 185.795, 179.231, 172.193, 164.647, 156.555,
11622  147.879, 138.575, 128.599, 117.902, 106.433, 94.1338,
11623  80.9463, 66.8057, 51.6432, 35.385, 22.4554, 21.615,
11624  20.7139, 19.7477, 18.7116, 17.6006, 16.4094, 15.1321,
11625  13.7624, 12.2938, 11.6606, 10.9906, 10.2723, 9.502,
11626  8.67606, 7.97732, 7.50997, 7.00884, 6.4715, 6.00753,
11627  5.68492, 5.339, 4.99021, 4.678, 4.34322, 4.04159,
11628  3.74312, 3.50509, 3.32572, 3.17133, 3.02792, 2.84966,
11629  2.67018, 2.50292, 2.40502, 2.236, 2.12386, 2.03276,
11630  1.9749, 1.90432, 1.80477, 1.73924, 1.68099, 1.68183,
11631  1.6681, 1.64954, 1.66859, 1.70575, 1.73128, 1.80862,
11632  1.86406, 1.90979, 1.94714, 1.87713, 1.71732, 1.44715,
11633  1.14893, 0.852304, 0.606386, 0.424389, 0.292668, 0.198173,
11634  0.129057, 0.0777588, 0.0418827, 0.0, 0.0, 0.0,
11635  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11636  0.0, 0.0, 0.0, 0.0, 211.322, 207.52,
11637  203.444, 199.073, 194.387, 189.361, 183.972, 178.194,
11638  171.999, 165.356, 158.232, 150.594, 142.404, 133.622,
11639  124.205, 114.108, 103.281, 91.6711, 79.2227, 65.8747,
11640  51.5621, 36.2151, 21.3076, 20.4893, 19.6118, 18.6709,
11641  17.662, 16.5802, 15.4202, 14.1763, 12.8426, 11.4126,
11642  10.7243, 10.1748, 9.5856, 8.95382, 8.27639, 7.62701,
11643  7.18452, 6.71005, 6.20129, 5.7168, 5.40753, 5.07592,
11644  4.73034, 4.45043, 4.1503, 3.88314, 3.64566, 3.40608,
11645  3.17692, 2.95941, 2.75896, 2.63574, 2.51396, 2.3533,
11646  2.19949, 2.10758, 1.99089, 1.88686, 1.80865, 1.73105,
11647  1.6309, 1.57969, 1.55243, 1.51972, 1.50264, 1.49604,
11648  1.49955, 1.4985, 1.55633, 1.63411, 1.68665, 1.76601,
11649  1.82692, 1.84295, 1.75694, 1.53626, 1.26355, 0.929858,
11650  0.674994, 0.475396, 0.320387, 0.215887, 0.138843, 0.0860916,
11651  0.047439, 0.0, 0.0, 0.0, 0.0, 0.0,
11652  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11653  0.0, 0.0, 194.2, 190.768, 187.089, 183.143,
11654  178.913, 174.376, 169.512, 164.297, 158.704, 152.707,
11655  146.277, 139.382, 131.989, 124.062, 115.562, 106.447,
11656  96.6741, 86.1947, 74.9579, 62.9091, 49.9895, 36.1363,
11657  21.2819, 19.4843, 18.6619, 17.78, 16.8344, 15.8205,
11658  14.7332, 13.5675, 12.3174, 10.9771, 10.1725, 9.65202,
11659  9.09392, 8.49548, 7.8538, 7.19259, 6.83592, 6.45348,
11660  6.04339, 5.61094, 5.25512, 4.87358, 4.46446, 4.20514,
11661  3.93961, 3.67922, 3.44285, 3.20167, 2.99576, 2.79617,
11662  2.63204, 2.46599, 2.30517, 2.20351, 2.06679, 1.94088,
11663  1.84184, 1.75521, 1.67661, 1.61594, 1.52314, 1.45077,
11664  1.42614, 1.39717, 1.34724, 1.36925, 1.35649, 1.36789,
11665  1.39075, 1.4616, 1.52648, 1.61078, 1.71757, 1.75405,
11666  1.74483, 1.59616, 1.33375, 1.04284, 0.748153, 0.525021,
11667  0.35129, 0.237672, 0.152725, 0.094731, 0.0534152, 0.0,
11668  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11669  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11670  184.918, 181.697, 178.243, 174.539, 170.568, 166.309,
11671  161.743, 156.847, 151.597, 145.968, 139.932, 133.46,
11672  126.519, 119.078, 111.098, 102.542, 93.3679, 83.5305,
11673  72.9822, 61.6716, 49.5436, 36.5391, 22.5949, 18.6464,
11674  17.8925, 17.0842, 16.2175, 15.2881, 14.2916, 13.223,
11675  12.0772, 10.8487, 9.94062, 9.40263, 8.82575, 8.20719,
11676  7.54393, 6.83273, 6.44521, 6.06836, 5.66426, 5.23097,
11677  4.89929, 4.55867, 4.19343, 3.96855, 3.77814, 3.57401,
11678  3.35527, 3.12121, 2.88609, 2.65181, 2.51228, 2.36525,
11679  2.21055, 2.0906, 1.95325, 1.83032, 1.74787, 1.66346,
11680  1.58869, 1.51299, 1.4231, 1.38559, 1.33185, 1.31395,
11681  1.2401, 1.25039, 1.21992, 1.25846, 1.25186, 1.31565,
11682  1.38332, 1.47009, 1.57244, 1.65272, 1.68123, 1.60985,
11683  1.40916, 1.12807, 0.828289, 0.581266, 0.39754, 0.261552,
11684  0.168295, 0.105873, 0.061751, 0.0, 0.0, 0.0,
11685  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11686  0.0, 0.0, 0.0, 0.0, 179.859, 176.765,
11687  173.447, 169.89, 166.076, 161.986, 157.6, 152.898,
11688  147.856, 142.449, 136.652, 130.436, 123.77, 116.623,
11689  108.959, 100.741, 91.93, 82.4818, 72.3508, 61.4877,
11690  49.8395, 37.3495, 23.9569, 17.9774, 17.2477, 16.4652,
11691  15.6262, 14.7265, 13.7619, 12.7275, 11.6184, 10.4291,
11692  9.43934, 8.97429, 8.47564, 7.94094, 7.36761, 6.75285,
11693  6.31418, 5.92082, 5.49903, 5.04676, 4.73303, 4.45897,
11694  4.1651, 3.89634, 3.63868, 3.36485, 3.12547, 2.86879,
11695  2.72636, 2.59439, 2.4041, 2.2163, 2.05443, 1.96692,
11696  1.88259, 1.78457, 1.69261, 1.5542, 1.4644, 1.41675,
11697  1.34432, 1.27099, 1.23264, 1.19291, 1.16965, 1.14326,
11698  1.13042, 1.13201, 1.14784, 1.18291, 1.24508, 1.31727,
11699  1.40987, 1.51605, 1.61805, 1.62157, 1.47901, 1.22229,
11700  0.923626, 0.637075, 0.434058, 0.290231, 0.186019, 0.118229,
11701  0.0669323, 0.0, 0.0, 0.0, 0.0, 0.0,
11702  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11703  0.0, 0.0, 174.896, 171.927, 168.743, 165.33,
11704  161.67, 157.745, 153.537, 149.025, 144.186, 138.998,
11705  133.435, 127.47, 121.074, 114.216, 106.862, 98.9762,
11706  90.5208, 81.4545, 71.7329, 61.3088, 50.1314, 38.1462,
11707  25.2949, 17.4647, 16.7638, 16.0123, 15.2065, 14.3424,
11708  13.4159, 12.4224, 11.3572, 10.2149, 9.1337, 8.69127,
11709  8.21686, 7.70817, 7.16271, 6.57784, 6.12416, 5.76351,
11710  5.37679, 4.96213, 4.60212, 4.2795, 3.93357, 3.64939,
11711  3.45376, 3.24399, 3.01762, 2.77469, 2.57981, 2.3987,
11712  2.27441, 2.15555, 2.01978, 1.89137, 1.76837, 1.65191,
11713  1.56328, 1.49297, 1.42521, 1.3278, 1.26338, 1.21622,
11714  1.15739, 1.09366, 1.0767, 1.04128, 1.04004, 1.0412,
11715  1.04112, 1.06381, 1.11346, 1.18239, 1.26867, 1.38528,
11716  1.48602, 1.55184, 1.48927, 1.30534, 1.00603, 0.724435,
11717  0.490378, 0.321392, 0.209908, 0.13088, 0.0749118, 0.0374142,
11718  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11719  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11720  165.916, 163.135, 160.154, 156.957, 153.529, 149.854,
11721  145.912, 141.686, 137.155, 132.296, 127.086, 121.5,
11722  115.509, 109.086, 102.199, 94.814, 86.8953, 78.4043,
11723  69.2997, 59.5371, 49.069, 37.8444, 25.8087, 16.5259,
11724  15.8957, 15.22, 14.4955, 13.7186, 12.8856, 11.9923,
11725  11.0346, 10.0076, 8.91633, 8.47194, 7.99545, 7.48452,
11726  6.93667, 6.34922, 5.86781, 5.55513, 5.21985, 4.86034,
11727  4.53047, 4.25548, 3.96062, 3.66916, 3.41812, 3.14893,
11728  2.94391, 2.75652, 2.58531, 2.42677, 2.26418, 2.09374,
11729  1.98749, 1.86168, 1.72003, 1.60439, 1.52164, 1.43319,
11730  1.34885, 1.2612, 1.18869, 1.12777, 1.09486, 1.03917,
11731  1.00233, 0.984906, 0.971046, 0.967869, 0.96686, 0.972372,
11732  1.0104, 1.06113, 1.13231, 1.26524, 1.3489, 1.45862,
11733  1.48978, 1.34645, 1.0973, 0.803711, 0.547137, 0.356694,
11734  0.232585, 0.144939, 0.0836552, 0.0431159, 0.0, 0.0,
11735  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11736  0.0, 0.0, 0.0, 0.0, 160.742, 158.086,
11737  155.238, 152.184, 148.909, 145.397, 141.632, 137.594,
11738  133.265, 128.623, 123.646, 118.308, 112.585, 106.449,
11739  99.8689, 92.8134, 85.248, 77.1359, 68.4375, 59.1105,
11740  49.1095, 38.3857, 26.887, 16.1458, 15.5309, 14.8716,
11741  14.1647, 13.4066, 12.5938, 11.7223, 10.7877, 9.78564,
11742  8.71114, 8.19359, 7.74716, 7.26847, 6.75518, 6.20479,
11743  5.69888, 5.38694, 5.05246, 4.69381, 4.34306, 4.06329,
11744  3.7633, 3.46141, 3.26555, 3.05554, 2.84721, 2.63691,
11745  2.44755, 2.30167, 2.16152, 2.02761, 1.89795, 1.77452,
11746  1.66749, 1.56208, 1.46694, 1.36694, 1.27779, 1.20975,
11747  1.15611, 1.08888, 1.02747, 0.980403, 0.931552, 0.911986,
11748  0.895525, 0.887433, 0.883264, 0.892731, 0.916556, 0.950633,
11749  1.01564, 1.10777, 1.24649, 1.36269, 1.42226, 1.38092,
11750  1.17978, 0.887582, 0.613824, 0.400426, 0.256672, 0.158177,
11751  0.0950601, 0.0515083, 0.0, 0.0, 0.0, 0.0,
11752  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11753  0.0, 0.0, 156.25, 153.705, 150.975, 148.048,
11754  144.91, 141.545, 137.937, 134.068, 129.919, 125.471,
11755  120.701, 115.586, 110.102, 104.221, 97.9154, 91.1541,
11756  83.9042, 76.1304, 67.7948, 58.8568, 49.2728, 38.9963,
11757  27.977, 16.1615, 15.3003, 14.6625, 13.9786, 13.2453,
11758  12.4591, 11.616, 10.7119, 9.74256, 8.70314, 8.0715,
11759  7.60414, 7.103, 6.56565, 5.98946, 5.41851, 5.16008,
11760  4.88298, 4.58585, 4.2742, 3.99671, 3.69916, 3.38011,
11761  3.18915, 2.98691, 2.78864, 2.6029, 2.417, 2.26072,
11762  2.10459, 1.9589, 1.82918, 1.71248, 1.63038, 1.48403,
11763  1.38975, 1.31559, 1.23214, 1.18642, 1.12552, 1.04549,
11764  1.00073, 0.938835, 0.917059, 0.870317, 0.821532, 0.831248,
11765  0.81978, 0.821143, 0.832702, 0.871704, 0.926302, 0.981742,
11766  1.12549, 1.24845, 1.35756, 1.38224, 1.25222, 0.964887,
11767  0.691689, 0.442315, 0.281758, 0.177534, 0.105882, 0.0571104,
11768  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11769  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11770  155.073, 152.582, 149.911, 147.046, 143.975, 140.681,
11771  137.15, 133.364, 129.303, 124.95, 120.281, 115.276,
11772  109.908, 104.153, 97.9821, 91.365, 84.2696, 76.6615,
11773  68.5036, 59.7562, 50.3766, 40.3191, 29.5348, 17.9712,
11774  15.3594, 14.7081, 14.0097, 13.2608, 12.4578, 11.5968,
11775  10.6735, 9.68351, 8.62199, 7.89936, 7.47354, 7.01694,
11776  6.52735, 6.00238, 5.43947, 5.13363, 4.81571, 4.47481,
11777  4.10928, 3.86196, 3.60292, 3.32515, 3.12371, 2.92787,
11778  2.7267, 2.53631, 2.34142, 2.22994, 2.1052, 1.95003,
11779  1.79886, 1.65264, 1.5489, 1.45565, 1.38194, 1.29975,
11780  1.18317, 1.1331, 1.05282, 0.990504, 0.940018, 0.903566,
11781  0.846863, 0.820532, 0.789665, 0.773821, 0.771762, 0.753224,
11782  0.762379, 0.7809, 0.836268, 0.905021, 0.993915, 1.12826,
11783  1.27484, 1.33736, 1.27871, 1.03873, 0.757996, 0.504932,
11784  0.316345, 0.199851, 0.118689, 0.0651368, 0.0, 0.0,
11785  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11786  0.0, 0.0, 0.0, 0.0, 150.695, 148.305,
11787  145.743, 142.996, 140.05, 136.891, 133.504, 129.872,
11788  125.978, 121.802, 117.325, 112.524, 107.375, 101.855,
11789  95.9365, 89.5897, 82.7844, 75.4872, 67.6626, 59.2726,
11790  50.2763, 40.6299, 30.2863, 19.1952, 15.0209, 14.3988,
11791  13.7317, 13.0165, 12.2495, 11.4272, 10.5454, 9.59988,
11792  8.58604, 7.789, 7.3816, 6.94476, 6.47635, 5.97409,
11793  5.43553, 5.09202, 4.77753, 4.44032, 4.07874, 3.83407,
11794  3.60641, 3.3623, 3.14879, 2.94319, 2.72632, 2.52242,
11795  2.30378, 2.16987, 2.03241, 1.87302, 1.73173, 1.62988,
11796  1.50792, 1.40748, 1.33127, 1.25595, 1.17489, 1.08897,
11797  1.01555, 0.96839, 0.923571, 0.88414, 0.819945, 0.786184,
11798  0.753757, 0.733085, 0.713629, 0.714106, 0.702442, 0.726864,
11799  0.754912, 0.812682, 0.889472, 1.0048, 1.12236, 1.2791,
11800  1.28207, 1.12089, 0.834644, 0.567782, 0.356565, 0.220726,
11801  0.13043, 0.0745388, 0.0, 0.0, 0.0, 0.0,
11802  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11803  0.0, 0.0, 148.626, 146.294, 143.794, 141.113,
11804  138.239, 135.156, 131.851, 128.307, 124.507, 120.433,
11805  116.064, 111.379, 106.355, 100.969, 95.1934, 89.0003,
11806  82.3597, 75.2392, 67.6041, 59.4172, 50.6387, 41.2258,
11807  31.1326, 20.31, 14.6166, 14.0276, 13.3959, 12.7186,
11808  11.9924, 11.2137, 10.3787, 9.48338, 8.52334, 7.6695,
11809  7.29035, 6.88379, 6.44786, 5.98043, 5.47921, 5.11148,
11810  4.80395, 4.4742, 4.12062, 3.81965, 3.53834, 3.2367,
11811  2.99779, 2.8183, 2.62585, 2.45487, 2.2728, 2.11608,
11812  1.95859, 1.85151, 1.74242, 1.62124, 1.48564, 1.36809,
11813  1.29194, 1.21342, 1.12464, 1.0654, 1.00068, 0.94109,
11814  0.879847, 0.824297, 0.788801, 0.744482, 0.718669, 0.700254,
11815  0.670027, 0.669417, 0.654981, 0.663573, 0.701687, 0.732795,
11816  0.81597, 0.900777, 1.03445, 1.16242, 1.25749, 1.17649,
11817  0.919608, 0.625334, 0.402133, 0.246361, 0.145358, 0.0819685,
11818  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11819  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11820  151.185, 148.829, 146.303, 143.595, 140.69, 137.576,
11821  134.237, 130.657, 126.818, 122.701, 118.287, 113.554,
11822  108.479, 103.037, 97.202, 90.9452, 84.2363, 77.0424,
11823  69.3287, 61.0576, 52.1887, 42.6789, 32.4819, 21.5479,
11824  14.1678, 13.6234, 13.0396, 12.4136, 11.7424, 11.0227,
11825  10.2509, 9.42342, 8.53612, 7.65087, 7.27851, 6.87924,
11826  6.45112, 5.99207, 5.49983, 5.10282, 4.80091, 4.47718,
11827  4.13005, 3.81564, 3.53498, 3.23404, 2.97657, 2.80794,
11828  2.62711, 2.454, 2.27311, 2.10802, 1.94755, 1.8268,
11829  1.71659, 1.62046, 1.50707, 1.39014, 1.30439, 1.20251,
11830  1.13071, 1.04567, 0.990571, 0.937225, 0.863432, 0.817869,
11831  0.759311, 0.739784, 0.699123, 0.660366, 0.640068, 0.631706,
11832  0.621563, 0.625863, 0.642365, 0.676913, 0.72844, 0.817094,
11833  0.929027, 1.07518, 1.21563, 1.20443, 0.994613, 0.691132,
11834  0.445068, 0.27605, 0.163137, 0.0938594, 0.0464943, 0.0,
11835  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11836  0.0, 0.0, 0.0, 0.0, 147.169, 144.916,
11837  142.5, 139.91, 137.132, 134.153, 130.959, 127.535,
11838  123.863, 119.925, 115.703, 111.176, 106.322, 101.116,
11839  95.5351, 89.5504, 83.1332, 76.2523, 68.8742, 60.9628,
11840  52.4797, 43.3835, 33.63, 23.1716, 14.5224, 13.9565,
11841  13.3497, 12.6991, 12.0014, 11.2533, 10.4512, 9.59106,
11842  8.66878, 7.67985, 7.27167, 6.86144, 6.42157, 5.94991,
11843  5.44417, 5.00467, 4.7092, 4.39236, 4.05263, 3.75006,
11844  3.53479, 3.30396, 3.06467, 2.83496, 2.58865, 2.40097,
11845  2.23796, 2.09199, 1.96552, 1.84995, 1.73931, 1.57887,
11846  1.43373, 1.32653, 1.31657, 1.20293, 1.11997, 1.04578,
11847  0.965696, 0.904852, 0.821229, 0.791544, 0.74294, 0.72161,
11848  0.67258, 0.649984, 0.628136, 0.596933, 0.594118, 0.595551,
11849  0.599132, 0.610661, 0.663721, 0.718349, 0.835272, 0.966556,
11850  1.12638, 1.19378, 1.06042, 0.768482, 0.506318, 0.30664,
11851  0.18175, 0.103251, 0.0534644, 0.0, 0.0, 0.0,
11852  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11853  0.0, 0.0, 147.415, 145.185, 142.794, 140.229,
11854  137.48, 134.532, 131.37, 127.98, 124.346, 120.448,
11855  116.269, 111.788, 106.983, 101.831, 96.3062, 90.3825,
11856  84.0306, 77.2196, 69.9165, 62.0856, 53.6888, 44.6852,
11857  35.0309, 24.6789, 14.5611, 13.9947, 13.3873, 12.7361,
11858  12.0378, 11.2891, 10.4862, 9.62537, 8.70228, 7.71249,
11859  7.21627, 6.81512, 6.38497, 5.92374, 5.42918, 4.96219,
11860  4.67667, 4.37053, 4.04225, 3.72466, 3.50643, 3.27244,
11861  3.02937, 2.84429, 2.64584, 2.45902, 2.28251, 2.11784,
11862  1.98764, 1.85351, 1.7162, 1.58333, 1.46564, 1.38946,
11863  1.27144, 1.17082, 1.09471, 1.02851, 0.949015, 0.891753,
11864  0.821381, 0.784369, 0.724279, 0.683958, 0.664727, 0.62972,
11865  0.594231, 0.581802, 0.561698, 0.554273, 0.548292, 0.569248,
11866  0.611756, 0.666942, 0.746635, 0.883067, 1.02411, 1.13931,
11867  1.09931, 0.84413, 0.561469, 0.343865, 0.204223, 0.117041,
11868  0.0610342, 0.0, 0.0, 0.0, 0.0, 0.0,
11869  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11870  139.123, 137.058, 134.844, 132.47, 129.924, 127.195,
11871  124.268, 121.129, 117.764, 114.156, 110.286, 106.137,
11872  101.689, 96.9186, 91.8037, 86.3191, 80.4382, 74.1323,
11873  67.3707, 60.1205, 52.3463, 44.0103, 35.0718, 25.4874,
11874  15.2104, 14.1051, 13.4844, 12.8187, 12.1049, 11.3396,
11875  10.5189, 9.63899, 8.69544, 7.68371, 7.09901, 6.72132,
11876  6.31633, 5.88208, 5.41644, 4.93973, 4.66129, 4.36272,
11877  4.04258, 3.70985, 3.47309, 3.21921, 2.947, 2.77316,
11878  2.59254, 2.42305, 2.28073, 2.12752, 1.96091, 1.80667,
11879  1.69408, 1.56898, 1.44045, 1.34584, 1.26241, 1.17207,
11880  1.08543, 1.01515, 0.942589, 0.875555, 0.827923, 0.772983,
11881  0.729881, 0.684882, 0.654318, 0.60545, 0.573281, 0.558004,
11882  0.531304, 0.524255, 0.523736, 0.531633, 0.555939, 0.598551,
11883  0.680039, 0.785011, 0.938689, 1.09324, 1.11292, 0.921733,
11884  0.631844, 0.376831, 0.223839, 0.130942, 0.0686587, 0.0,
11885  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11886  0.0, 0.0, 0.0, 0.0, 144.332, 142.204,
11887  139.922, 137.475, 134.851, 132.037, 129.021, 125.786,
11888  122.317, 118.598, 114.61, 110.334, 105.748, 100.832,
11889  95.5598, 89.9069, 83.8455, 77.346, 70.3768, 62.9039,
11890  54.891, 46.2991, 37.0862, 27.2075, 16.615, 14.0405,
11891  13.4511, 12.8192, 12.1416, 11.415, 10.6359, 9.80048,
11892  8.9047, 7.9442, 7.27129, 6.87183, 6.44351, 5.98423,
11893  5.49177, 4.96371, 4.68634, 4.40443, 4.10216, 3.77803,
11894  3.55772, 3.32947, 3.08473, 2.86229, 2.63323, 2.41056,
11895  2.24392, 2.06871, 1.92727, 1.78092, 1.64855, 1.55162,
11896  1.49055, 1.36924, 1.26751, 1.17836, 1.09375, 1.01432,
11897  0.93923, 0.875335, 0.821986, 0.764809, 0.704797, 0.673001,
11898  0.626025, 0.596912, 0.557921, 0.535197, 0.522534, 0.490249,
11899  0.494322, 0.51024, 0.521534, 0.55421, 0.62317, 0.707964,
11900  0.849996, 1.01819, 1.11909, 0.986141, 0.68996, 0.428413,
11901  0.253387, 0.145874, 0.0783736, 0.0, 0.0, 0.0,
11902  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11903  0.0, 0.0, 144.727, 142.612, 140.345, 137.914,
11904  135.307, 132.512, 129.515, 126.301, 122.855, 119.16,
11905  115.198, 110.949, 106.394, 101.509, 96.2713, 90.6551,
11906  84.633, 78.1758, 71.2519, 63.8276, 55.8668, 47.3307,
11907  38.1777, 28.3632, 17.8395, 13.8136, 13.2295, 12.6031,
11908  11.9315, 11.2114, 10.4392, 9.61116, 8.72332, 7.77132,
11909  7.03144, 6.68319, 6.30977, 5.90937, 5.48003, 5.01967,
11910  4.7084, 4.41846, 4.10757, 3.77422, 3.52099, 3.27582,
11911  3.01293, 2.7945, 2.5919, 2.38497, 2.25075, 2.10683,
11912  1.98449, 1.85454, 1.68913, 1.5451, 1.4481, 1.35458,
11913  1.25687, 1.16336, 1.08509, 0.988398, 0.957888, 0.870714,
11914  0.813245, 0.75845, 0.70939, 0.66418, 0.616562, 0.58082,
11915  0.546733, 0.515253, 0.500255, 0.481359, 0.476264, 0.474073,
11916  0.492608, 0.515127, 0.557753, 0.635131, 0.753959, 0.913534,
11917  1.06688, 1.03565, 0.768998, 0.481222, 0.286037, 0.164447,
11918  0.0864617, 0.0, 0.0, 0.0, 0.0, 0.0,
11919  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11920  145.622, 143.522, 141.271, 138.856, 136.267, 133.491,
11921  130.515, 127.323, 123.901, 120.231, 116.296, 112.077,
11922  107.552, 102.701, 97.4995, 91.9219, 85.9411, 79.5282,
11923  72.6518, 65.2785, 57.3723, 48.8947, 39.8045, 30.0574,
11924  19.6059, 14.1436, 13.5507, 12.915, 12.2333, 11.5024,
11925  10.7187, 9.87831, 8.97721, 8.01099, 7.16526, 6.82619,
11926  6.46262, 6.07278, 5.65476, 5.20654, 4.83768, 4.49814,
11927  4.13406, 3.74367, 3.48408, 3.28831, 3.07839, 2.87566,
11928  2.67822, 2.46651, 2.29728, 2.11761, 1.9748, 1.83497,
11929  1.6989, 1.56764, 1.47054, 1.35457, 1.24101, 1.15012,
11930  1.08993, 1.01605, 0.920137, 0.868514, 0.813044, 0.74525,
11931  0.693212, 0.655496, 0.61856, 0.575673, 0.54305, 0.509793,
11932  0.486643, 0.466276, 0.45503, 0.458322, 0.454541, 0.468971,
11933  0.514035, 0.569029, 0.671086, 0.830755, 1.00674, 1.03571,
11934  0.843086, 0.544022, 0.315129, 0.18312, 0.0991046, 0.0,
11935  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11936  0.0, 0.0, 0.0, 0.0, 145.457, 143.378,
11937  141.15, 138.761, 136.199, 133.452, 130.506, 127.347,
11938  123.96, 120.329, 116.435, 112.259, 107.782, 102.981,
11939  97.8336, 92.3139, 86.3953, 80.0489, 73.244, 65.9472,
11940  58.1232, 49.7337, 40.7379, 31.092, 20.7491, 13.9164,
11941  13.363, 12.7697, 12.1335, 11.4513, 10.7198, 9.93547,
11942  9.09443, 8.19262, 7.304, 6.93837, 6.54633, 6.12595,
11943  5.67519, 5.19185, 4.80319, 4.50179, 4.1786, 3.83206,
11944  3.55182, 3.33526, 3.10306, 2.87816, 2.67421, 2.45552,
11945  2.3003, 2.1501, 2.01072, 1.87287, 1.72111, 1.56659,
11946  1.48727, 1.3849, 1.26229, 1.12888, 1.0899, 1.01158,
11947  0.946136, 0.85288, 0.795966, 0.745185, 0.694588, 0.651039,
11948  0.615471, 0.563573, 0.524707, 0.508684, 0.475593, 0.457412,
11949  0.437593, 0.436062, 0.430819, 0.444779, 0.474028, 0.529655,
11950  0.618576, 0.744391, 0.923795, 1.02557, 0.896541, 0.609418,
11951  0.358941, 0.200441, 0.111773, 0.0545677, 0.0, 0.0,
11952  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11953  0.0, 0.0, 144.686, 142.644, 140.455, 138.107,
11954  135.589, 132.89, 129.996, 126.892, 123.564, 119.996,
11955  116.169, 112.067, 107.667, 102.95, 97.8918, 92.4681,
11956  86.6525, 80.4166, 73.73, 66.5602, 58.8723, 50.6288,
11957  41.7895, 32.3115, 22.1485, 14.019, 13.4835, 12.9092,
11958  12.2934, 11.6331, 10.925, 10.1659, 9.35181, 8.47893,
11959  7.54297, 7.13335, 6.70249, 6.24048, 5.74509, 5.2139,
11960  4.7731, 4.49807, 4.20317, 3.88695, 3.59277, 3.34853,
11961  3.08664, 2.83903, 2.66825, 2.48513, 2.30646, 2.12273,
11962  1.95743, 1.81002, 1.69622, 1.60052, 1.48083, 1.37237,
11963  1.28153, 1.19776, 1.09168, 1.02198, 0.946092, 0.873108,
11964  0.793424, 0.758658, 0.703481, 0.635581, 0.593227, 0.57314,
11965  0.535102, 0.496149, 0.465769, 0.443157, 0.433615, 0.40611,
11966  0.411882, 0.414764, 0.443081, 0.485535, 0.542075, 0.66181,
11967  0.840356, 0.984301, 0.949506, 0.67951, 0.406689, 0.227742,
11968  0.122279, 0.0623533, 0.0, 0.0, 0.0, 0.0,
11969  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11970  145.698, 143.67, 141.494, 139.162, 136.661, 133.98,
11971  131.104, 128.021, 124.715, 121.17, 117.369, 113.293,
11972  108.923, 104.236, 99.2116, 93.8236, 88.0462, 81.8513,
11973  75.2087, 68.0861, 60.4488, 52.2595, 43.4784, 34.0627,
11974  23.9666, 14.4764, 13.8928, 13.2671, 12.5961, 11.8767,
11975  11.1052, 10.2781, 9.39108, 8.44002, 7.42022, 6.96641,
11976  6.5938, 6.19426, 5.76585, 5.30648, 4.87551, 4.58632,
11977  4.27623, 3.94373, 3.62743, 3.40594, 3.16843, 2.92398,
11978  2.73083, 2.52373, 2.34381, 2.18427, 2.02779, 1.88361,
11979  1.74605, 1.61608, 1.49871, 1.38747, 1.28852, 1.18275,
11980  1.09775, 1.00705, 0.932565, 0.873172, 0.817523, 0.769084,
11981  0.695818, 0.645437, 0.60846, 0.547305, 0.520239, 0.493584,
11982  0.461884, 0.436142, 0.412664, 0.40675, 0.400771, 0.398501,
11983  0.412747, 0.443272, 0.498999, 0.600281, 0.741695, 0.941526,
11984  0.996199, 0.748653, 0.452649, 0.254492, 0.139755, 0.0712429,
11985  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
11986  0.0, 0.0, 0.0, 0.0, 147.064, 145.025,
11987  142.839, 140.496, 137.983, 135.288, 132.399, 129.301,
11988  125.979, 122.416, 118.597, 114.501, 110.11, 105.401,
11989  100.352, 94.9376, 89.1322, 82.9073, 76.2325, 69.0754,
11990  61.401, 53.172, 44.3484, 34.887, 24.742, 13.8638,
11991  13.3062, 12.7787, 12.2132, 11.6068, 10.9565, 10.2593,
11992  9.51165, 8.70999, 7.8504, 7.309, 6.88079, 6.42164,
11993  5.9293, 5.40138, 4.87846, 4.59821, 4.29772, 3.97551,
11994  3.64905, 3.43166, 3.19856, 2.94867, 2.74685, 2.53046,
11995  2.3324, 2.16585, 2.00211, 1.87068, 1.75015, 1.65691,
11996  1.52256, 1.38225, 1.30689, 1.19819, 1.11142, 1.03038,
11997  0.951058, 0.881735, 0.808749, 0.767586, 0.710199, 0.658405,
11998  0.59747, 0.563394, 0.520082, 0.486901, 0.453389, 0.426017,
11999  0.413138, 0.39528, 0.386019, 0.384599, 0.387158, 0.407733,
12000  0.460694, 0.542015, 0.680369, 0.868778, 0.959095, 0.802702,
12001  0.508482, 0.278302, 0.152581, 0.0795111, 0.0, 0.0,
12002  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
12003  0.0, 0.0, 147.366, 145.353, 143.196, 140.882,
12004  138.401, 135.74, 132.888, 129.829, 126.55, 123.033,
12005  119.262, 115.218, 110.883, 106.234, 101.249, 95.9038,
12006  90.1724, 84.0267, 77.437, 70.371, 62.7944, 54.6702,
12007  45.9589, 36.6181, 26.6023, 15.8626, 13.8614, 13.2777,
12008  12.6518, 11.9807, 11.2611, 10.4895, 9.66214, 8.77499,
12009  7.82372, 7.20416, 6.82775, 6.42414, 5.99136, 5.5273,
12010  5.03133, 4.75196, 4.4524, 4.1312, 3.78678, 3.54151,
12011  3.27869, 2.99687, 2.79265, 2.5888, 2.3953, 2.24736,
12012  2.08864, 1.91779, 1.7531, 1.63751, 1.51955, 1.40043,
12013  1.30656, 1.20382, 1.11251, 1.03861, 0.968774, 0.900982,
12014  0.827307, 0.76427, 0.70552, 0.640277, 0.60499, 0.56589,
12015  0.510516, 0.493763, 0.450497, 0.426368, 0.40414, 0.382229,
12016  0.372116, 0.365822, 0.369778, 0.380553, 0.422746, 0.490137,
12017  0.6095, 0.785426, 0.929299, 0.861978, 0.571214, 0.316475,
12018  0.171952, 0.0907037, 0.0, 0.0, 0.0, 0.0,
12019  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
12020  149.076, 147.056, 144.89, 142.568, 140.077, 137.407,
12021  134.543, 131.473, 128.181, 124.65, 120.865, 116.806,
12022  112.454, 107.788, 102.784, 97.4181, 91.6649, 85.4958,
12023  78.8809, 71.788, 64.1825, 56.0274, 47.2829, 37.9065,
12024  27.8525, 17.0719, 13.6922, 13.1435, 12.5552, 11.9244,
12025  11.248, 10.5227, 9.74497, 8.91106, 8.01688, 7.33863,
12026  6.95135, 6.53608, 6.0908, 5.61334, 5.10138, 4.7774,
12027  4.46264, 4.12515, 3.76326, 3.51422, 3.26885, 3.00575,
12028  2.8088, 2.6285, 2.44247, 2.27883, 2.10336, 1.92266,
12029  1.74193, 1.65791, 1.55735, 1.43577, 1.31981, 1.21929,
12030  1.13226, 1.05579, 0.998248, 0.903404, 0.829809, 0.768494,
12031  0.701187, 0.641713, 0.604491, 0.552954, 0.518996, 0.487127,
12032  0.452898, 0.421861, 0.39869, 0.375568, 0.358559, 0.352754,
12033  0.352765, 0.365028, 0.387631, 0.449238, 0.544576, 0.703281,
12034  0.896081, 0.900142, 0.625642, 0.358704, 0.191476, 0.101131,
12035  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
12036  0.0, 0.0, 0.0, 0.0, 145.053, 143.123,
12037  141.054, 138.835, 136.455, 133.904, 131.168, 128.234,
12038  125.089, 121.716, 118.099, 114.221, 110.063, 105.604,
12039  100.823, 95.6969, 90.2, 84.3058, 77.9857, 71.2088,
12040  63.9422, 56.1504, 47.7955, 38.8369, 29.2309, 18.9306,
12041  14.3207, 13.7208, 13.0776, 12.3879, 11.6484, 10.8554,
12042  10.0051, 9.09342, 8.1158, 7.30349, 6.92301, 6.51504,
12043  6.07759, 5.60852, 5.10556, 4.7644, 4.46743, 4.149,
12044  3.80755, 3.56207, 3.34253, 3.10713, 2.90397, 2.71842,
12045  2.52053, 2.33136, 2.12852, 1.97245, 1.8146, 1.69654,
12046  1.57247, 1.44288, 1.33173, 1.23511, 1.14895, 1.05141,
12047  0.960128, 0.89991, 0.843709, 0.779963, 0.718997, 0.657981,
12048  0.623912, 0.578386, 0.518189, 0.487667, 0.442783, 0.425442,
12049  0.400526, 0.37548, 0.355293, 0.345784, 0.341834, 0.34306,
12050  0.364575, 0.409242, 0.490692, 0.630724, 0.826324, 0.917454,
12051  0.702282, 0.401757, 0.21947, 0.112708, 0.0, 0.0,
12052  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
12053  0.0, 0.0, 149.427, 147.448, 145.326, 143.05,
12054  140.611, 137.994, 135.189, 132.181, 128.956, 125.497,
12055  121.789, 117.812, 113.549, 108.977, 104.074, 98.8177,
12056  93.1813, 87.1374, 80.6569, 73.708, 66.2569, 58.2673,
12057  49.7004, 40.5144, 30.6645, 20.1028, 14.0384, 13.4764,
12058  12.8737, 12.2276, 11.5347, 10.7917, 9.99508, 9.14086,
12059  8.22491, 7.37503, 6.99341, 6.58421, 6.14543, 5.67495,
12060  5.17046, 4.80778, 4.53114, 4.23452, 3.91646, 3.64284,
12061  3.39336, 3.12585, 2.88377, 2.67333, 2.44769, 2.28586,
12062  2.11967, 1.9747, 1.83116, 1.71005, 1.58888, 1.47208,
12063  1.37293, 1.2782, 1.17499, 1.05824, 0.98466, 0.900582,
12064  0.8562, 0.773792, 0.710276, 0.659366, 0.609184, 0.56644,
12065  0.522135, 0.482688, 0.451513, 0.42251, 0.392314, 0.370091,
12066  0.349634, 0.334924, 0.328478, 0.329794, 0.347452, 0.375342,
12067  0.451344, 0.568213, 0.744753, 0.911186, 0.760307, 0.456624,
12068  0.239837, 0.124999, 0.0599799, 0.0, 0.0, 0.0,
12069  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
12070  151.024, 149.052, 146.939, 144.672, 142.242, 139.636,
12071  136.842, 133.845, 130.633, 127.188, 123.494, 119.533,
12072  115.286, 110.732, 105.849, 100.613, 94.999, 88.979,
12073  82.5239, 75.6023, 68.1805, 60.2224, 51.6892, 42.5392,
12074  32.7281, 22.2079, 14.79, 14.1818, 13.5297, 12.8304,
12075  12.0806, 11.2766, 10.4145, 9.49011, 8.49891, 7.49555,
12076  7.1308, 6.73969, 6.32031, 5.87062, 5.38844, 4.99481,
12077  4.70255, 4.38917, 4.05315, 3.74265, 3.46382, 3.16484,
12078  2.89594, 2.70298, 2.49607, 2.32899, 2.16465, 2.0142,
12079  1.86942, 1.74323, 1.62035, 1.50837, 1.39717, 1.28357,
12080  1.15629, 1.09548, 1.00993, 0.939183, 0.860858, 0.788875,
12081  0.720792, 0.676648, 0.608855, 0.569192, 0.531739, 0.487611,
12082  0.46105, 0.415635, 0.387377, 0.370221, 0.343475, 0.33093,
12083  0.322508, 0.317541, 0.330408, 0.35225, 0.405135, 0.508064,
12084  0.674117, 0.866059, 0.811329, 0.513708, 0.275428, 0.142895,
12085  0.0676504, 0.0, 0.0, 0.0, 0.0, 0.0,
12086  0.0, 0.0, 0.0, 0.0, 152.301, 150.32,
12087  148.197, 145.919, 143.478, 140.86, 138.053, 135.042,
12088  131.815, 128.354, 124.643, 120.664, 116.397, 111.822,
12089  106.916, 101.656, 96.0151, 89.967, 83.4819, 76.5281,
12090  69.0717, 61.0765, 52.5036, 43.311, 33.4542, 22.885,
12091  14.0895, 13.5593, 12.9907, 12.381, 11.7273, 11.0263,
12092  10.2747, 9.46872, 8.60453, 7.67788, 7.26713, 6.85511,
12093  6.41331, 5.93959, 5.43163, 4.98504, 4.67812, 4.34902,
12094  3.99613, 3.68487, 3.47287, 3.24555, 3.01616, 2.81865,
12095  2.60686, 2.41677, 2.23195, 2.05905, 1.90064, 1.76595,
12096  1.64544, 1.53654, 1.42043, 1.29728, 1.19126, 1.10962,
12097  1.02439, 0.939489, 0.857118, 0.801864, 0.740093, 0.671636,
12098  0.619734, 0.588925, 0.528837, 0.492937, 0.455224, 0.424124,
12099  0.389941, 0.363928, 0.346051, 0.330804, 0.315545, 0.306845,
12100  0.3097, 0.334017, 0.3722, 0.459421, 0.597156, 0.800717,
12101  0.840466, 0.57985, 0.309551, 0.158418, 0.0751975, 0.0,
12102  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
12103  0.0, 0.0, 157.981, 155.946, 153.763, 151.422,
12104  148.913, 146.222, 143.337, 140.243, 136.925, 133.368,
12105  129.554, 125.464, 121.079, 116.376, 111.334, 105.927,
12106  100.13, 93.9137, 87.2482, 80.1009, 72.4372, 64.2196,
12107  55.4082, 45.96, 35.8289, 24.9658, 14.5164, 13.9536,
12108  13.3502, 12.7032, 12.0094, 11.2655, 10.4678, 9.61249,
12109  8.69536, 7.71195, 7.24432, 6.86597, 6.46028, 6.02527,
12110  5.55882, 5.11589, 4.82071, 4.5042, 4.16483, 3.82781,
12111  3.55466, 3.26177, 2.96475, 2.78706, 2.59652, 2.41517,
12112  2.24055, 2.07383, 1.93139, 1.80501, 1.69901, 1.55463,
12113  1.41461, 1.31388, 1.22596, 1.12469, 1.02304, 0.93989,
12114  0.863554, 0.792864, 0.754639, 0.693665, 0.632708, 0.577301,
12115  0.54037, 0.496565, 0.45777, 0.428336, 0.388739, 0.362739,
12116  0.343151, 0.325321, 0.305544, 0.298988, 0.30152, 0.316577,
12117  0.346752, 0.416814, 0.542734, 0.75029, 0.861256, 0.643785,
12118  0.347017, 0.176827, 0.0866842, 0.0, 0.0, 0.0,
12119  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
12120  154.71, 152.74, 150.627, 148.361, 145.931, 143.326,
12121  140.533, 137.538, 134.326, 130.882, 127.19, 123.23,
12122  118.984, 114.432, 109.551, 104.316, 98.7038, 92.6857,
12123  86.2327, 79.3134, 71.894, 63.9384, 55.408, 46.261,
12124  36.453, 25.9362, 14.6594, 13.9275, 13.3563, 12.7439,
12125  12.0872, 11.383, 10.6279, 9.81829, 8.95015, 8.01928,
12126  7.47007, 7.07174, 6.64461, 6.18662, 5.69554, 5.19911,
12127  4.8842, 4.54653, 4.18445, 3.81792, 3.59342, 3.3527,
12128  3.09458, 2.89575, 2.68343, 2.47848, 2.29085, 2.10277,
12129  1.9426, 1.79401, 1.67772, 1.56274, 1.44901, 1.34862,
12130  1.22438, 1.11603, 1.03541, 0.974286, 0.897055, 0.814869,
12131  0.757766, 0.697747, 0.650445, 0.592725, 0.543666, 0.496993,
12132  0.45947, 0.428586, 0.394283, 0.364748, 0.33987, 0.322204,
12133  0.302254, 0.297724, 0.28894, 0.300277, 0.324559, 0.380858,
12134  0.481082, 0.67066, 0.846743, 0.685606, 0.38687, 0.194321,
12135  0.0981558, 0.0, 0.0, 0.0, 0.0, 0.0,
12136  0.0, 0.0, 0.0, 0.0, 158.961, 156.958,
12137  154.81, 152.507, 150.037, 147.389, 144.549, 141.504,
12138  138.239, 134.738, 130.985, 126.96, 122.644, 118.016,
12139  113.053, 107.732, 102.027, 95.9091, 89.3492, 82.3153,
12140  74.773, 66.6856, 58.0138, 48.7153, 38.7448, 28.0538,
12141  16.5902, 14.4401, 13.8307, 13.1772, 12.4765, 11.7251,
12142  10.9194, 10.0555, 9.12923, 8.13597, 7.48495, 7.08713,
12143  6.66056, 6.20316, 5.71271, 5.18791, 4.88331, 4.55669,
12144  4.20648, 3.83095, 3.62172, 3.39808, 3.15829, 2.95044,
12145  2.73533, 2.52008, 2.32626, 2.12837, 1.98788, 1.84383,
12146  1.71135, 1.5887, 1.47209, 1.34217, 1.22808, 1.14698,
12147  1.07603, 0.975407, 0.899836, 0.832814, 0.772533, 0.720221,
12148  0.646748, 0.607434, 0.554974, 0.512607, 0.474569, 0.432432,
12149  0.393916, 0.366897, 0.346383, 0.319226, 0.30314, 0.292015,
12150  0.283893, 0.288211, 0.307436, 0.35312, 0.43135, 0.601824,
12151  0.798297, 0.7544, 0.43732, 0.223016, 0.110548, 0.0,
12152  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
12153  0.0, 0.0, 157.173, 155.218, 153.122, 150.874,
12154  148.463, 145.878, 143.107, 140.135, 136.948, 133.532,
12155  129.868, 125.939, 121.727, 117.21, 112.366, 107.173,
12156  101.604, 95.6334, 89.2308, 82.3655, 75.0041, 67.1107,
12157  58.6468, 49.5713, 39.84, 29.4054, 18.2167, 14.7571,
12158  14.1399, 13.478, 12.7684, 12.0074, 11.1915, 10.3166,
12159  9.37845, 8.37252, 7.62192, 7.20322, 6.75427, 6.27288,
12160  5.75669, 5.20321, 4.89644, 4.60632, 4.29524, 3.96169,
12161  3.69102, 3.41352, 3.11595, 2.91306, 2.73608, 2.54788,
12162  2.35343, 2.14536, 2.00762, 1.86502, 1.752, 1.62528,
12163  1.48232, 1.37593, 1.27046, 1.16457, 1.06798, 1.00073,
12164  0.909445, 0.839416, 0.771174, 0.717449, 0.660887, 0.606865,
12165  0.575639, 0.513883, 0.466441, 0.435382, 0.397757, 0.367413,
12166  0.341322, 0.321333, 0.30094, 0.286909, 0.278281, 0.27544,
12167  0.289195, 0.323528, 0.394706, 0.540541, 0.749167, 0.775054,
12168  0.492757, 0.248055, 0.12082, 0.0, 0.0, 0.0,
12169  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
12170  158.1, 156.154, 154.067, 151.83, 149.43, 146.858,
12171  144.1, 141.142, 137.97, 134.57, 130.923, 127.013,
12172  122.821, 118.326, 113.505, 108.337, 102.794, 96.8516,
12173  90.4794, 83.6467, 76.3202, 68.4643, 60.0406, 51.0082,
12174  41.3231, 30.938, 19.8024, 15.0244, 14.4119, 13.7551,
12175  13.0509, 12.2957, 11.486, 10.6178, 9.68683, 8.68858,
12176  7.85648, 7.4246, 6.96151, 6.46496, 5.93252, 5.36161,
12177  5.00162, 4.69572, 4.36771, 4.016, 3.75189, 3.5062,
12178  3.24276, 3.00835, 2.7864, 2.55385, 2.38938, 2.21302,
12179  2.04606, 1.86998, 1.75536, 1.63545, 1.51281, 1.40163,
12180  1.29367, 1.18842, 1.08976, 1.03317, 0.929782, 0.847726,
12181  0.801105, 0.735862, 0.661491, 0.614518, 0.570261, 0.516556,
12182  0.476481, 0.437737, 0.406577, 0.371276, 0.340347, 0.315935,
12183  0.30019, 0.283412, 0.269755, 0.269009, 0.278737, 0.299582,
12184  0.364569, 0.479794, 0.684699, 0.803878, 0.549925, 0.27927,
12185  0.134863, 0.0, 0.0, 0.0, 0.0, 0.0,
12186  0.0, 0.0, 0.0, 0.0, 157.593, 155.672,
12187  153.613, 151.404, 149.036, 146.497, 143.774, 140.855,
12188  137.724, 134.368, 130.768, 126.909, 122.771, 118.333,
12189  113.575, 108.473, 103.003, 97.137, 90.8472, 84.1028,
12190  76.871, 69.1167, 60.8019, 51.8863, 42.3263, 32.0755,
12191  21.0838, 15.0468, 14.4358, 13.7806, 13.078, 12.3247,
12192  11.517, 10.6508, 9.7221, 8.72626, 7.8211, 7.41145,
12193  6.97219, 6.5012, 5.99616, 5.45463, 5.06876, 4.76493,
12194  4.43914, 4.0898, 3.80543, 3.55319, 3.28273, 3.03666,
12195  2.81639, 2.58021, 2.42224, 2.25868, 2.09347, 1.91949,
12196  1.78861, 1.65711, 1.51975, 1.39697, 1.29392, 1.21463,
12197  1.11223, 1.01289, 0.939794, 0.864339, 0.791358, 0.733922,
12198  0.679909, 0.624773, 0.586104, 0.528247, 0.491338, 0.453916,
12199  0.410986, 0.37702, 0.350009, 0.314576, 0.297053, 0.278925,
12200  0.266593, 0.260101, 0.267156, 0.286858, 0.330189, 0.432246,
12201  0.624056, 0.79039, 0.598515, 0.317802, 0.150315, 0.0677494,
12202  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
12203  0.0, 0.0, 161.043, 159.1, 157.016, 154.782,
12204  152.387, 149.819, 147.064, 144.111, 140.945, 137.549,
12205  133.909, 130.005, 125.819, 121.33, 116.517, 111.357,
12206  105.823, 99.8894, 93.527, 86.7049, 79.3897, 71.5459,
12207  63.1352, 54.1167, 44.4465, 34.0774, 22.959, 15.5149,
12208  14.8811, 14.2015, 13.4728, 12.6915, 11.8537, 10.9553,
12209  9.99201, 8.95911, 7.93591, 7.51769, 7.06924, 6.58838,
12210  6.07278, 5.51991, 5.10158, 4.81304, 4.50366, 4.17191,
12211  3.87871, 3.62349, 3.34984, 3.09646, 2.88862, 2.66577,
12212  2.4908, 2.31701, 2.14104, 1.95809, 1.81231, 1.67453,
12213  1.5496, 1.43585, 1.33083, 1.22766, 1.11707, 1.05713,
12214  0.964427, 0.866842, 0.824671, 0.741385, 0.687101, 0.628976,
12215  0.579771, 0.541316, 0.482323, 0.448766, 0.414898, 0.380098,
12216  0.348335, 0.321743, 0.29933, 0.278747, 0.264922, 0.257514,
12217  0.257091, 0.273699, 0.308268, 0.388488, 0.550171, 0.764262,
12218  0.669816, 0.352052, 0.171148, 0.0776453, 0.0, 0.0,
12219  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
12220  163.107, 161.154, 159.06, 156.814, 154.406, 151.824,
12221  149.056, 146.087, 142.904, 139.491, 135.831, 131.907,
12222  127.699, 123.187, 118.349, 113.161, 107.598, 101.634,
12223  95.2382, 88.3804, 81.027, 73.1422, 64.6875, 55.6219,
12224  45.9011, 35.4779, 24.3013, 15.4872, 14.8691, 14.2063,
12225  13.4957, 12.7337, 11.9166, 11.0405, 10.101, 9.09369,
12226  8.01356, 7.60682, 7.17216, 6.70609, 6.20634, 5.67047,
12227  5.21515, 4.90147, 4.56512, 4.20446, 3.88839, 3.65634,
12228  3.40752, 3.15462, 2.92082, 2.67012, 2.47835, 2.30509,
12229  2.13791, 1.97536, 1.83229, 1.69655, 1.55709, 1.43096,
12230  1.32601, 1.24505, 1.15108, 1.0576, 0.968149, 0.903526,
12231  0.819581, 0.754773, 0.70314, 0.643975, 0.595088, 0.540537,
12232  0.49493, 0.458738, 0.412291, 0.381202, 0.350046, 0.324451,
12233  0.302899, 0.278559, 0.260404, 0.251382, 0.249998, 0.260445,
12234  0.286834, 0.358548, 0.492109, 0.720353, 0.707844, 0.396388,
12235  0.192189, 0.0862358, 0.0, 0.0, 0.0, 0.0,
12236  0.0, 0.0, 0.0, 0.0, 163.783, 161.843,
12237  159.764, 157.534, 155.143, 152.579, 149.83, 146.883,
12238  143.722, 140.333, 136.699, 132.802, 128.624, 124.144,
12239  119.34, 114.189, 108.665, 102.743, 96.392, 89.5825,
12240  82.2808, 74.4515, 66.0564, 57.0547, 47.4023, 37.0525,
12241  25.9546, 15.8733, 15.2502, 14.5821, 13.8657, 13.0975,
12242  12.2738, 11.3906, 10.4435, 9.42801, 8.33913, 7.84111,
12243  7.39882, 6.92457, 6.41604, 5.87077, 5.37726, 5.06897,
12244  4.7384, 4.38394, 4.03861, 3.75574, 3.45244, 3.15501,
12245  2.98395, 2.80053, 2.58888, 2.35143, 2.15506, 2.02757,
12246  1.88388, 1.72341, 1.59641, 1.47483, 1.35789, 1.2749,
12247  1.17788, 1.0836, 1.00027, 0.908762, 0.836446, 0.79031,
12248  0.710581, 0.65262, 0.598787, 0.542954, 0.495233, 0.458646,
12249  0.425092, 0.384977, 0.358831, 0.329238, 0.304931, 0.281602,
12250  0.264005, 0.249829, 0.246568, 0.251172, 0.269176, 0.320812,
12251  0.445793, 0.652651, 0.738945, 0.461424, 0.214365, 0.0984144,
12252  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
12253  0.0, 0.0, 168.089, 166.106, 163.98, 161.7,
12254  159.255, 156.634, 153.823, 150.809, 147.577, 144.112,
12255  140.396, 136.411, 132.139, 127.558, 122.646, 117.379,
12256  111.731, 105.676, 99.182, 92.2193, 84.7534, 76.7479,
12257  68.1639, 58.9596, 49.0901, 38.5074, 27.1598, 15.4976,
12258  14.9041, 14.2678, 13.5855, 12.8539, 12.0694, 11.2282,
12259  10.3262, 9.35904, 8.32198, 7.76765, 7.34649, 6.8949,
12260  6.41067, 5.89144, 5.38782, 5.08938, 4.76938, 4.42625,
12261  4.07809, 3.79963, 3.50104, 3.18752, 2.98497, 2.76779,
12262  2.56688, 2.38696, 2.21015, 2.05829, 1.9022, 1.74454,
12263  1.62875, 1.51368, 1.36193, 1.28411, 1.19889, 1.10494,
12264  1.01653, 0.931751, 0.853544, 0.786573, 0.722871, 0.654904,
12265  0.621681, 0.563336, 0.506656, 0.474182, 0.423766, 0.395294,
12266  0.365039, 0.328299, 0.305706, 0.281273, 0.262351, 0.246282,
12267  0.240091, 0.241351, 0.259963, 0.302845, 0.400099, 0.59151,
12268  0.745092, 0.506713, 0.240723, 0.10763, 0.0, 0.0,
12269  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
12270  167.764, 165.814, 163.724, 161.482, 159.078, 156.501,
12271  153.737, 150.774, 147.596, 144.189, 140.536, 136.618,
12272  132.418, 127.914, 123.084, 117.905, 112.353, 106.398,
12273  100.014, 93.1682, 85.8277, 77.9567, 69.5168, 60.4671,
12274  50.7633, 40.3583, 29.2014, 17.2381, 15.7668, 15.0864,
12275  14.3568, 13.5744, 12.7355, 11.836, 10.8715, 9.83731,
12276  8.72836, 8.04776, 7.59384, 7.10712, 6.58522, 6.02561,
12277  5.44828, 5.12994, 4.7886, 4.42259, 4.04202, 3.81207,
12278  3.56551, 3.30114, 3.08001, 2.84731, 2.62614, 2.43903,
12279  2.24577, 2.07033, 1.90348, 1.77481, 1.65586, 1.53958,
12280  1.41496, 1.30275, 1.21136, 1.12833, 1.03433, 0.947388,
12281  0.878864, 0.804901, 0.73494, 0.674384, 0.616732, 0.563602,
12282  0.510305, 0.471383, 0.437532, 0.398674, 0.365822, 0.335545,
12283  0.303192, 0.28091, 0.26233, 0.24411, 0.235143, 0.232591,
12284  0.249001, 0.282315, 0.359661, 0.53161, 0.749714, 0.570508,
12285  0.273516, 0.125098, 0.0, 0.0, 0.0, 0.0,
12286  0.0, 0.0, 0.0, 0.0, 169.84, 167.881,
12287  165.78, 163.527, 161.111, 158.521, 155.743, 152.765,
12288  149.571, 146.147, 142.475, 138.538, 134.317, 129.79,
12289  124.936, 119.732, 114.151, 108.167, 101.751, 94.8707,
12290  87.4934, 79.5829, 71.1008, 62.0057, 52.2533, 41.7961,
12291  30.5833, 18.5601, 15.7502, 15.0744, 14.3497, 13.5727,
12292  12.7396, 11.8462, 10.8883, 9.86109, 8.75969, 8.01526,
12293  7.59573, 7.14587, 6.6635, 6.14628, 5.59167, 5.25228,
12294  4.89924, 4.52068, 4.11477, 3.84881, 3.57237, 3.27594,
12295  3.06785, 2.86898, 2.66443, 2.47102, 2.27036, 2.13369,
12296  1.98856, 1.83908, 1.70954, 1.59922, 1.47067, 1.34541,
12297  1.23008, 1.12883, 1.0404, 0.968062, 0.890147, 0.814707,
12298  0.750411, 0.686851, 0.628055, 0.570064, 0.527439, 0.48904,
12299  0.438924, 0.399006, 0.369331, 0.334704, 0.308409, 0.282663,
12300  0.263728, 0.244894, 0.230972, 0.230127, 0.236166, 0.265803,
12301  0.33032, 0.474543, 0.708806, 0.623568, 0.309623, 0.135923,
12302  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
12303  0.0, 0.0, 170.844, 168.89, 166.794, 164.547,
12304  162.138, 159.554, 156.784, 153.813, 150.628, 147.213,
12305  143.551, 139.624, 135.413, 130.898, 126.057, 120.866,
12306  115.3, 109.331, 102.931, 96.0689, 88.7107, 80.8207,
12307  72.3606, 63.289, 53.5618, 43.1317, 31.9479, 19.9558,
12308  15.8225, 15.1534, 14.4359, 13.6665, 12.8416, 11.957,
12309  11.0085, 9.99146, 8.90092, 8.07202, 7.64467, 7.18643,
12310  6.69508, 6.16823, 5.60329, 5.25279, 4.92382, 4.57107,
12311  4.19283, 3.91498, 3.64197, 3.34922, 3.12793, 2.92927,
12312  2.72311, 2.54343, 2.35078, 2.17779, 1.9972, 1.84839,
12313  1.70848, 1.58737, 1.46209, 1.34453, 1.24025, 1.15192,
12314  1.07504, 0.970298, 0.884714, 0.821394, 0.756219, 0.707367,
12315  0.642516, 0.577872, 0.534391, 0.490042, 0.450482, 0.40942,
12316  0.367473, 0.341782, 0.314103, 0.288202, 0.266937, 0.2466,
12317  0.234578, 0.227957, 0.229514, 0.247992, 0.301382, 0.422476,
12318  0.645689, 0.661055, 0.347261, 0.15496, 0.0, 0.0,
12319  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
12320  173.895, 171.923, 169.809, 167.541, 165.11, 162.503,
12321  159.707, 156.71, 153.496, 150.05, 146.354, 142.392,
12322  138.143, 133.587, 128.702, 123.464, 117.847, 111.825,
12323  105.367, 98.4426, 91.0178, 83.0563, 74.5195, 65.3658,
12324  55.5505, 45.026, 33.7408, 21.6401, 16.1258, 15.455,
12325  14.7356, 13.9643, 13.1373, 12.2504, 11.2995, 10.2799,
12326  9.18652, 8.2693, 7.8398, 7.37926, 6.88544, 6.35593,
12327  5.78815, 5.39884, 5.06159, 4.69996, 4.31219, 4.01369,
12328  3.73824, 3.44288, 3.18954, 2.96116, 2.72006, 2.56614,
12329  2.4011, 2.22079, 2.02688, 1.87046, 1.72152, 1.60281,
12330  1.47208, 1.35364, 1.26338, 1.19556, 1.08156, 0.987453,
12331  0.916945, 0.834203, 0.778338, 0.696408, 0.646353, 0.595925,
12332  0.541275, 0.500032, 0.456278, 0.411129, 0.379967, 0.348038,
12333  0.322646, 0.286278, 0.26167, 0.244055, 0.23224, 0.222029,
12334  0.227953, 0.236451, 0.280363, 0.383535, 0.590728, 0.696375,
12335  0.392467, 0.175901, 0.0, 0.0, 0.0, 0.0,
12336  0.0, 0.0, 0.0, 0.0, 175.807, 173.828,
12337  171.706, 169.431, 166.992, 164.376, 161.571, 158.563,
12338  155.338, 151.88, 148.172, 144.196, 139.933, 135.362,
12339  130.46, 125.204, 119.569, 113.526, 107.046, 100.098,
12340  92.6478, 84.6593, 76.0935, 66.9087, 57.0601, 46.4998,
12341  35.1763, 23.0345, 16.1545, 15.488, 14.7734, 14.0071,
12342  13.1854, 12.3043, 11.3596, 10.3466, 9.26037, 8.26612,
12343  7.84971, 7.40322, 6.92446, 6.41109, 5.86063, 5.45324,
12344  5.12762, 4.77847, 4.40409, 4.08893, 3.80529, 3.50116,
12345  3.23835, 3.02384, 2.79383, 2.60812, 2.41396, 2.22428,
12346  2.02724, 1.88729, 1.75601, 1.64531, 1.52196, 1.40086,
12347  1.29571, 1.17315, 1.08933, 1.00327, 0.940488, 0.859103,
12348  0.782698, 0.720536, 0.654533, 0.6038, 0.552497, 0.50168,
12349  0.465156, 0.420342, 0.384659, 0.352602, 0.321806, 0.292939,
12350  0.272828, 0.250721, 0.23145, 0.218956, 0.21426, 0.227261,
12351  0.258815, 0.343211, 0.531467, 0.701989, 0.449794, 0.194177,
12352  0.0823032, 0.0, 0.0, 0.0, 0.0, 0.0,
12353  0.0, 0.0, 178.208, 176.218, 174.084, 171.797,
12354  169.343, 166.713, 163.893, 160.868, 157.626, 154.149,
12355  150.42, 146.422, 142.135, 137.539, 132.61, 127.325,
12356  121.658, 115.582, 109.066, 102.08, 94.5888, 86.5562,
12357  77.943, 68.7075, 58.8045, 48.1858, 36.7997, 24.5908,
12358  16.3237, 15.677, 14.9835, 14.2399, 13.4426, 12.5876,
12359  11.6709, 10.6879, 9.63387, 8.58021, 8.12436, 7.63556,
12360  7.11144, 6.54945, 5.94684, 5.48142, 5.15405, 4.80303,
12361  4.42664, 4.10359, 3.83619, 3.54947, 3.29127, 3.09587,
12362  2.88635, 2.66412, 2.42638, 2.25816, 2.12773, 1.97234,
12363  1.8047, 1.67188, 1.5375, 1.40828, 1.30002, 1.19541,
12364  1.11383, 1.02613, 0.947517, 0.87363, 0.794571, 0.728799,
12365  0.659661, 0.618103, 0.557471, 0.516796, 0.467858, 0.428701,
12366  0.393667, 0.358084, 0.320446, 0.297662, 0.27029, 0.249458,
12367  0.232049, 0.218049, 0.213926, 0.218389, 0.246405, 0.309134,
12368  0.482173, 0.708973, 0.49228, 0.22208, 0.0919903, 0.0,
12369  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
12370  178.182, 176.208, 174.091, 171.822, 169.388, 166.779,
12371  163.981, 160.981, 157.764, 154.314, 150.615, 146.649,
12372  142.397, 137.837, 132.947, 127.705, 122.083, 116.055,
12373  109.591, 102.66, 95.2289, 87.2602, 78.7157, 69.5537,
12374  59.7296, 49.1955, 37.9001, 25.7885, 16.2411, 15.6093,
12375  14.9319, 14.2055, 13.4266, 12.5915, 11.6959, 10.7357,
12376  9.70603, 8.60197, 8.18094, 7.73136, 7.2493, 6.73239,
12377  6.17813, 5.70178, 5.36394, 5.00169, 4.61325, 4.25755,
12378  3.96826, 3.65805, 3.35692, 3.11896, 2.8638, 2.65592,
12379  2.46067, 2.30226, 2.17826, 2.01727, 1.82876, 1.67815,
12380  1.55083, 1.45004, 1.33693, 1.24042, 1.12494, 1.04397,
12381  0.957736, 0.865532, 0.815623, 0.744469, 0.675718, 0.626704,
12382  0.571588, 0.520813, 0.480775, 0.434706, 0.394725, 0.358725,
12383  0.325965, 0.302543, 0.274172, 0.249113, 0.233865, 0.221071,
12384  0.210834, 0.211874, 0.234528, 0.286572, 0.431524, 0.660866,
12385  0.55164, 0.248569, 0.105325, 0.0, 0.0, 0.0,
12386  0.0, 0.0, 0.0, 0.0, 178.747, 176.784,
12387  174.679, 172.423, 170.003, 167.409, 164.627, 161.643,
12388  158.445, 155.015, 151.337, 147.394, 143.165, 138.631,
12389  133.77, 128.557, 122.967, 116.973, 110.546, 103.655,
12390  96.2654, 88.342, 79.8461, 70.7361, 60.9678, 50.4936,
12391  39.2625, 27.2196, 16.3833, 15.7418, 15.054, 14.3165,
12392  13.5256, 12.6776, 11.7684, 10.7934, 9.74797, 8.62698,
12393  8.12595, 7.67756, 7.19676, 6.68122, 6.12842, 5.62705,
12394  5.30276, 4.95503, 4.58217, 4.23315, 3.98201, 3.71272,
12395  3.43504, 3.19292, 2.93331, 2.70868, 2.50426, 2.31762,
12396  2.16249, 2.0126, 1.86642, 1.7189, 1.5817, 1.46832,
12397  1.35657, 1.24854, 1.1606, 1.06374, 0.967085, 0.886614,
12398  0.825293, 0.746248, 0.693646, 0.63379, 0.584148, 0.530311,
12399  0.48788, 0.437603, 0.40211, 0.364818, 0.334695, 0.305146,
12400  0.279773, 0.254516, 0.231088, 0.220589, 0.21057, 0.20511,
12401  0.2212, 0.266451, 0.386349, 0.623998, 0.603609, 0.283564,
12402  0.116248, 0.0, 0.0, 0.0, 0.0, 0.0,
12403  0.0, 0.0, 178.371, 176.435, 174.36, 172.135,
12404  169.749, 167.191, 164.447, 161.506, 158.352, 154.97,
12405  151.343, 147.454, 143.285, 138.814, 134.02, 128.88,
12406  123.368, 117.457, 111.12, 104.325, 97.0381, 89.2251,
12407  80.8474, 71.8643, 62.2321, 51.9037, 40.8289, 28.9538,
12408  16.9463, 16.2836, 15.5731, 14.8112, 13.9942, 13.1182,
12409  12.1789, 11.1717, 10.0917, 8.93369, 8.35437, 7.92089,
12410  7.45608, 6.95768, 6.42326, 5.89723, 5.52624, 5.12843,
12411  4.70188, 4.28614, 4.0201, 3.73484, 3.43539, 3.21024,
12412  2.96883, 2.75153, 2.56184, 2.36939, 2.18686, 2.02573,
12413  1.89971, 1.77836, 1.64911, 1.50076, 1.38202, 1.25046,
12414  1.14318, 1.06112, 0.991632, 0.924917, 0.839893, 0.776097,
12415  0.690609, 0.643207, 0.58855, 0.536464, 0.490566, 0.443289,
12416  0.403932, 0.373312, 0.340444, 0.309519, 0.282674, 0.252742,
12417  0.237001, 0.218195, 0.209695, 0.201937, 0.212875, 0.246549,
12418  0.340574, 0.566785, 0.643098, 0.312621, 0.131906, 0.0,
12419  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
12420  178.866, 176.943, 174.881, 172.67, 170.299, 167.757,
12421  165.032, 162.109, 158.975, 155.615, 152.012, 148.148,
12422  144.005, 139.563, 134.8, 129.693, 124.216, 118.344,
12423  112.047, 105.295, 98.0558, 90.293, 81.9692, 73.0438,
12424  63.4734, 53.2114, 42.2079, 30.4091, 17.7576, 16.5047,
12425  15.7908, 15.0254, 14.2047, 13.3247, 12.381, 11.3692,
12426  10.2842, 9.12086, 8.44917, 8.00935, 7.53774, 7.03204,
12427  6.4898, 5.9344, 5.59159, 5.22401, 4.82986, 4.42128,
12428  4.13313, 3.82416, 3.49286, 3.27337, 3.0439, 2.81921,
12429  2.6124, 2.405, 2.23614, 2.07462, 1.94272, 1.80094,
12430  1.65376, 1.52226, 1.40303, 1.29084, 1.19417, 1.09731,
12431  0.995456, 0.915391, 0.840329, 0.793123, 0.717105, 0.653924,
12432  0.598867, 0.546295, 0.504753, 0.451722, 0.416211, 0.38461,
12433  0.340342, 0.314757, 0.284734, 0.25892, 0.239568, 0.221638,
12434  0.207472, 0.199312, 0.203178, 0.232449, 0.309721, 0.513595,
12435  0.664633, 0.364704, 0.145187, 0.0, 0.0, 0.0,
12436  0.0, 0.0, 0.0, 0.0, 182.097, 180.147,
12437  178.056, 175.814, 173.41, 170.832, 168.068, 165.104,
12438  161.926, 158.518, 154.864, 150.946, 146.745, 142.24,
12439  137.41, 132.231, 126.677, 120.722, 114.336, 107.489,
12440  100.148, 92.2755, 83.8344, 74.7832, 65.0779, 54.6712,
12441  43.5125, 31.5474, 18.7176, 16.1671, 15.5003, 14.7854,
12442  14.0187, 13.1967, 12.3152, 11.3701, 10.3566, 9.26993,
12443  8.53049, 8.06237, 7.56042, 7.02219, 6.44507, 5.82625,
12444  5.50513, 5.1636, 4.79739, 4.40472, 4.14106, 3.86096,
12445  3.56062, 3.34841, 3.14004, 2.91637, 2.6759, 2.42841,
12446  2.24711, 2.06474, 1.91219, 1.76375, 1.62199, 1.54723,
12447  1.42304, 1.30029, 1.19953, 1.10011, 1.02794, 0.948694,
12448  0.864208, 0.788143, 0.736834, 0.663403, 0.61057, 0.555204,
12449  0.504597, 0.466749, 0.418567, 0.388214, 0.35292, 0.321613,
12450  0.287562, 0.264831, 0.240328, 0.222361, 0.206676, 0.201569,
12451  0.202662, 0.216422, 0.287323, 0.440213, 0.653455, 0.410707,
12452  0.169671, 0.0, 0.0, 0.0, 0.0, 0.0,
12453  0.0, 0.0, 184.133, 182.187, 180.1, 177.863,
12454  175.464, 172.891, 170.133, 167.175, 164.004, 160.603,
12455  156.957, 153.047, 148.854, 144.359, 139.539, 134.37,
12456  128.828, 122.885, 116.513, 109.68, 102.354, 94.4979,
12457  86.0743, 77.0419, 67.3568, 56.9718, 45.8363, 33.8961,
12458  21.0929, 17.1782, 16.453, 15.6755, 14.8417, 13.9477,
12459  12.9891, 11.9612, 10.859, 9.67722, 8.80643, 8.33114,
12460  7.82151, 7.27504, 6.68908, 6.06078, 5.69057, 5.33294,
12461  4.94947, 4.53828, 4.22802, 3.91363, 3.57652, 3.32208,
12462  3.08575, 2.84621, 2.65233, 2.44529, 2.31278, 2.16553,
12463  1.96889, 1.80062, 1.67349, 1.5439, 1.42055, 1.31569,
12464  1.23048, 1.12645, 1.01884, 0.958385, 0.877044, 0.799507,
12465  0.73867, 0.678703, 0.622871, 0.559161, 0.521985, 0.469359,
12466  0.427982, 0.389241, 0.356132, 0.328953, 0.296338, 0.266418,
12467  0.24479, 0.223098, 0.210439, 0.197344, 0.194558, 0.211929,
12468  0.262748, 0.413225, 0.641185, 0.463237, 0.185108, 0.0,
12469  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
12470  188.371, 186.391, 184.268, 181.992, 179.551, 176.934,
12471  174.127, 171.118, 167.892, 164.432, 160.722, 156.744,
12472  152.479, 147.905, 143.001, 137.742, 132.104, 126.058,
12473  119.575, 112.623, 105.169, 97.1766, 88.6064, 79.4169,
12474  69.5633, 58.9976, 47.6683, 35.5203, 22.4944, 17.1805,
12475  16.4643, 15.6964, 14.8731, 13.9902, 13.0435, 12.0284,
12476  10.9399, 9.77277, 8.83324, 8.37636, 7.88647, 7.36118,
12477  6.79793, 6.19397, 5.77983, 5.40152, 4.99587, 4.56091,
12478  4.25776, 3.98089, 3.68401, 3.42843, 3.18942, 2.93864,
12479  2.73251, 2.51149, 2.32917, 2.14052, 1.99554, 1.84953,
12480  1.71115, 1.58843, 1.47629, 1.36281, 1.22548, 1.13893,
12481  1.03176, 0.979253, 0.896271, 0.813888, 0.762285, 0.680743,
12482  0.624136, 0.572226, 0.521669, 0.482636, 0.43831, 0.391567,
12483  0.356508, 0.32612, 0.295423, 0.275267, 0.244082, 0.224859,
12484  0.20989, 0.198764, 0.191106, 0.202426, 0.243254, 0.355828,
12485  0.611284, 0.51489, 0.211485, 0.0, 0.0, 0.0,
12486  0.0, 0.0, 0.0, 0.0, 186.348, 184.406,
12487  182.324, 180.092, 177.698, 175.131, 172.379, 169.428,
12488  166.263, 162.87, 159.232, 155.33, 151.147, 146.661,
12489  141.852, 136.694, 131.164, 125.235, 118.877, 112.059,
12490  104.749, 96.9099, 88.5048, 79.4922, 69.8284, 59.4661,
12491  48.355, 36.441, 23.6659, 17.1413, 16.4518, 15.7124,
12492  14.9196, 14.0696, 13.1581, 12.1807, 11.1327, 10.009,
12493  9.01428, 8.54265, 8.03694, 7.49469, 6.91324, 6.28978,
12494  5.86463, 5.52503, 5.16089, 4.77044, 4.42649, 4.09471,
12495  3.73895, 3.43326, 3.17027, 2.88827, 2.73011, 2.56336,
12496  2.37399, 2.16828, 1.99973, 1.84502, 1.74538, 1.60687,
12497  1.46724, 1.35553, 1.27477, 1.14643, 1.07621, 0.989286,
12498  0.901222, 0.822566, 0.761696, 0.712719, 0.638379, 0.593822,
12499  0.53536, 0.488472, 0.453348, 0.401206, 0.364584, 0.333344,
12500  0.308262, 0.274029, 0.248563, 0.226259, 0.211683, 0.195507,
12501  0.188899, 0.196935, 0.230262, 0.320754, 0.56155, 0.563732,
12502  0.239199, 0.0, 0.0, 0.0, 0.0, 0.0,
12503  0.0, 0.0, 192.442, 190.448, 188.311, 186.018,
12504  183.56, 180.925, 178.099, 175.068, 171.819, 168.335,
12505  164.599, 160.593, 156.298, 151.692, 146.753, 141.458,
12506  135.78, 129.691, 123.162, 116.162, 108.656, 100.607,
12507  91.9764, 82.7223, 72.7994, 62.1594, 50.7505, 38.5171,
12508  25.3996, 17.3459, 16.6422, 15.8876, 15.0784, 14.2108,
12509  13.2805, 12.2829, 11.2133, 10.0664, 8.97791, 8.54184,
12510  8.07427, 7.5729, 7.0353, 6.45885, 5.99811, 5.62055,
12511  5.21571, 4.78161, 4.41434, 4.09562, 3.75387, 3.46138,
12512  3.24263, 3.00808, 2.78508, 2.54998, 2.37142, 2.21193,
12513  2.0729, 1.92843, 1.75618, 1.61594, 1.50189, 1.4063,
12514  1.27471, 1.16778, 1.07068, 1.00103, 0.918324, 0.847584,
12515  0.769697, 0.700169, 0.646151, 0.592374, 0.54508, 0.493063,
12516  0.446949, 0.412913, 0.370009, 0.336508, 0.308337, 0.277328,
12517  0.250954, 0.23342, 0.211025, 0.197488, 0.188157, 0.19179,
12518  0.214344, 0.295061, 0.499061, 0.609666, 0.270106, 0.10075,
12519  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
12520  187.009, 185.094, 183.041, 180.84, 178.479, 175.949,
12521  173.235, 170.325, 167.204, 163.859, 160.271, 156.424,
12522  152.3, 147.877, 143.134, 138.049, 132.596, 126.749,
12523  120.48, 113.758, 106.55, 98.8204, 90.5327, 81.6461,
12524  72.1173, 61.8999, 50.944, 39.1965, 26.5999, 17.5582,
12525  16.8635, 16.1186, 15.3198, 14.4634, 13.545, 12.5603,
12526  11.5044, 10.3721, 9.21047, 8.72581, 8.20613, 7.64889,
12527  7.05138, 6.41069, 5.89027, 5.51698, 5.1167, 4.68751,
12528  4.3396, 4.09513, 3.833, 3.57158, 3.32969, 3.07033,
12529  2.8468, 2.62307, 2.42944, 2.25323, 2.10908, 1.97119,
12530  1.78533, 1.63774, 1.52267, 1.39845, 1.3059, 1.19858,
12531  1.10206, 1.02176, 0.931526, 0.85144, 0.783226, 0.729051,
12532  0.659413, 0.605724, 0.549541, 0.503441, 0.460629, 0.42188,
12533  0.375926, 0.345417, 0.309392, 0.283431, 0.258096, 0.230992,
12534  0.211735, 0.197433, 0.188162, 0.185077, 0.200579, 0.269419,
12535  0.445004, 0.628654, 0.30755, 0.115761, 0.0, 0.0,
12536  0.0, 0.0, 0.0, 0.0, 190.181, 188.248,
12537  186.175, 183.952, 181.568, 179.013, 176.272, 173.334,
12538  170.183, 166.805, 163.182, 159.298, 155.133, 150.667,
12539  145.878, 140.743, 135.237, 129.333, 123.003, 116.215,
12540  108.936, 101.131, 92.7628, 83.7894, 74.1676, 63.8503,
12541  52.7875, 40.9252, 28.2057, 17.7632, 17.0613, 16.3086,
12542  15.5016, 14.6362, 13.7084, 12.7134, 11.6466, 10.5026,
12543  9.27599, 8.77518, 8.26703, 7.72216, 7.13791, 6.51143,
12544  5.97999, 5.64397, 5.28366, 4.89732, 4.53471, 4.23492,
12545  3.91347, 3.60056, 3.3655, 3.11345, 2.87889, 2.64474,
12546  2.44472, 2.2822, 2.10947, 1.92525, 1.79917, 1.66677,
12547  1.5289, 1.43512, 1.3006, 1.20064, 1.10719, 1.02544,
12548  0.955927, 0.872778, 0.795776, 0.735681, 0.676679, 0.610262,
12549  0.553796, 0.51652, 0.463979, 0.42077, 0.392999, 0.34742,
12550  0.314623, 0.289116, 0.261235, 0.232009, 0.214039, 0.200874,
12551  0.184883, 0.181178, 0.194145, 0.242179, 0.40889, 0.629906,
12552  0.349389, 0.127441, 0.0, 0.0, 0.0, 0.0,
12553  0.0, 0.0, 194.445, 192.481, 190.376, 188.118,
12554  185.697, 183.102, 180.318, 177.334, 174.133, 170.702,
12555  167.022, 163.077, 158.847, 154.31, 149.446, 144.231,
12556  138.638, 132.642, 126.212, 119.317, 111.924, 103.997,
12557  95.4966, 86.3823, 76.6092, 66.1299, 54.8933, 42.8447,
12558  29.9253, 17.9868, 17.2758, 16.5133, 15.6957, 14.8191,
12559  13.879, 12.8711, 11.7903, 10.6314, 9.38879, 8.81987,
12560  8.33006, 7.80485, 7.24169, 6.63782, 6.07675, 5.7004,
12561  5.29684, 4.86413, 4.45705, 4.17488, 3.87232, 3.56886,
12562  3.3687, 3.15407, 2.94428, 2.73451, 2.53185, 2.34837,
12563  2.16688, 1.98706, 1.84536, 1.71338, 1.59167, 1.44228,
12564  1.33779, 1.23613, 1.1327, 1.04841, 0.949646, 0.875719,
12565  0.814216, 0.7398, 0.67075, 0.625661, 0.572283, 0.517077,
12566  0.47743, 0.433467, 0.389543, 0.349665, 0.324977, 0.29149,
12567  0.264131, 0.2389, 0.217468, 0.19901, 0.186168, 0.181497,
12568  0.185199, 0.230623, 0.354737, 0.616666, 0.397468, 0.148897,
12569  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
12570  192.859, 190.928, 188.858, 186.638, 184.257, 181.705,
12571  178.968, 176.033, 172.886, 169.512, 165.894, 162.014,
12572  157.854, 153.393, 148.61, 143.482, 137.982, 132.086,
12573  125.763, 118.983, 111.713, 103.918, 95.5598, 86.5973,
12574  76.9872, 66.6825, 55.6332, 43.7853, 31.0813, 18.0328,
12575  17.3497, 16.6174, 15.8321, 14.99, 14.0871, 13.1189,
12576  12.0808, 10.9676, 9.77402, 9.11202, 8.59341, 8.03733,
12577  7.44107, 6.80171, 6.18074, 5.80732, 5.40692, 4.97757,
12578  4.56043, 4.31955, 4.06127, 3.78575, 3.51857, 3.23208,
12579  2.9739, 2.75134, 2.53214, 2.34246, 2.16892, 2.02577,
12580  1.87572, 1.72902, 1.61098, 1.48983, 1.35854, 1.25224,
12581  1.16285, 1.06853, 0.962857, 0.89224, 0.823111, 0.759833,
12582  0.684497, 0.632039, 0.576335, 0.531709, 0.483319, 0.438829,
12583  0.401573, 0.365757, 0.328347, 0.29618, 0.265532, 0.243368,
12584  0.220142, 0.198616, 0.18787, 0.17766, 0.181624, 0.2134,
12585  0.314608, 0.583424, 0.444105, 0.166898, 0.0, 0.0,
12586  0.0, 0.0, 0.0, 0.0, 195.962, 194.017,
12587  191.932, 189.695, 187.298, 184.727, 181.97, 179.014,
12588  175.844, 172.445, 168.801, 164.893, 160.703, 156.21,
12589  151.392, 146.226, 140.687, 134.748, 128.379, 121.55,
12590  114.228, 106.376, 97.9568, 88.9294, 79.2495, 68.8701,
12591  57.7406, 45.8068, 33.0106, 19.2897, 17.8242, 17.0466,
12592  16.2129, 15.319, 14.3604, 13.3325, 12.2304, 11.0487,
12593  9.78149, 9.05005, 8.58224, 8.08061, 7.54273, 6.96598,
12594  6.37222, 5.99799, 5.59671, 5.16643, 4.71861, 4.39824,
12595  4.05471, 3.68635, 3.45035, 3.20555, 2.97753, 2.78986,
12596  2.59379, 2.40366, 2.21071, 2.02775, 1.9019, 1.79391,
12597  1.61297, 1.50001, 1.38999, 1.26711, 1.15815, 1.07888,
12598  0.999211, 0.909587, 0.845454, 0.777069, 0.70187, 0.647933,
12599  0.590979, 0.538082, 0.49203, 0.444271, 0.402517, 0.364745,
12600  0.332529, 0.298734, 0.273021, 0.245326, 0.22421, 0.20234,
12601  0.187156, 0.180389, 0.177312, 0.200848, 0.284706, 0.518589,
12602  0.500725, 0.192523, 0.0, 0.0, 0.0, 0.0,
12603  0.0, 0.0, 198.165, 196.213, 194.121, 191.877,
12604  189.472, 186.892, 184.126, 181.16, 177.98, 174.57,
12605  170.914, 166.993, 162.789, 158.281, 153.447, 148.264,
12606  142.707, 136.748, 130.358, 123.507, 116.16, 108.282,
12607  99.8354, 90.7781, 81.0663, 70.6525, 59.4863, 47.513,
12608  34.6745, 20.9082, 18.111, 17.3228, 16.4778, 15.5716,
12609  14.6, 13.5581, 12.441, 11.2431, 9.95864, 9.11763,
12610  8.62516, 8.09711, 7.53089, 6.92375, 6.27274, 5.92729,
12611  5.55984, 5.16582, 4.74334, 4.46779, 4.17532, 3.86171,
12612  3.58993, 3.30979, 3.04191, 2.83751, 2.62144, 2.4149,
12613  2.21237, 2.06305, 1.90678, 1.74772, 1.66152, 1.53618,
12614  1.40579, 1.29299, 1.19553, 1.11389, 1.00905, 0.926391,
12615  0.845677, 0.779621, 0.716575, 0.660028, 0.597837, 0.543051,
12616  0.492339, 0.453244, 0.416751, 0.374111, 0.33384, 0.302681,
12617  0.277555, 0.245144, 0.228128, 0.200868, 0.185109, 0.17737,
12618  0.173188, 0.189175, 0.260048, 0.468707, 0.544918, 0.216679,
12619  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
12620  201.446, 199.473, 197.356, 195.087, 192.654, 190.045,
12621  187.248, 184.248, 181.032, 177.583, 173.885, 169.919,
12622  165.667, 161.108, 156.219, 150.977, 145.356, 139.329,
12623  132.867, 125.937, 118.507, 110.539, 101.996, 92.8355,
12624  83.0129, 72.4805, 61.1869, 49.0772, 36.0923, 22.169,
12625  18.0379, 17.2864, 16.4807, 15.6167, 14.6903, 13.6969,
12626  12.6317, 11.4896, 10.2649, 9.37854, 8.90764, 8.40271,
12627  7.86129, 7.28075, 6.65825, 6.21708, 5.77125, 5.29321,
12628  4.78061, 4.47644, 4.18234, 3.867, 3.59583, 3.32703,
12629  3.05952, 2.86246, 2.65165, 2.45529, 2.25343, 2.0981,
12630  1.94856, 1.80892, 1.66632, 1.54238, 1.42154, 1.29634,
12631  1.21569, 1.12602, 1.02093, 0.934993, 0.856571, 0.782975,
12632  0.727579, 0.657969, 0.604807, 0.556333, 0.506745, 0.461582,
12633  0.418225, 0.381219, 0.343882, 0.306502, 0.282474, 0.254201,
12634  0.226859, 0.206406, 0.192375, 0.17687, 0.170725, 0.182837,
12635  0.238137, 0.417449, 0.584463, 0.240819, 0.0, 0.0,
12636  0.0, 0.0, 0.0, 0.0, 198.953, 197.015,
12637  194.938, 192.711, 190.323, 187.762, 185.016, 182.071,
12638  178.914, 175.529, 171.899, 168.006, 163.833, 159.357,
12639  154.559, 149.413, 143.896, 137.98, 131.637, 124.835,
12640  117.541, 109.72, 101.335, 92.3428, 82.7012, 72.3628,
12641  61.2773, 49.3906, 36.645, 22.9782, 17.6392, 16.9491,
12642  16.2092, 15.4158, 14.5651, 13.6528, 12.6747, 11.6258,
12643  10.5012, 9.57759, 9.0558, 8.4963, 7.89637, 7.25308,
12644  6.5633, 6.12543, 5.7338, 5.31387, 4.86358, 4.5357,
12645  4.22612, 3.89416, 3.62374, 3.3786, 3.12201, 2.90688,
12646  2.67621, 2.49248, 2.30318, 2.16416, 2.01084, 1.83877,
12647  1.67934, 1.54198, 1.42844, 1.31932, 1.20363, 1.13127,
12648  1.01488, 0.941128, 0.888705, 0.786783, 0.737038, 0.675404,
12649  0.609544, 0.57078, 0.504979, 0.464944, 0.427159, 0.380445,
12650  0.350668, 0.317767, 0.286422, 0.255997, 0.235854, 0.208364,
12651  0.192074, 0.17898, 0.172895, 0.176974, 0.220596, 0.376744,
12652  0.597825, 0.272575, 0.0, 0.0, 0.0, 0.0,
12653  0.0, 0.0, 206.628, 204.635, 202.499, 200.208,
12654  197.751, 195.117, 192.292, 189.263, 186.015, 182.533,
12655  178.799, 174.795, 170.502, 165.899, 160.962, 155.669,
12656  149.994, 143.909, 137.383, 130.386, 122.884, 114.839,
12657  106.213, 96.9636, 87.0457, 76.4111, 65.0079, 52.7807,
12658  39.6698, 25.6115, 18.7274, 17.947, 17.1103, 16.2131,
12659  15.2511, 14.2195, 13.1134, 11.9274, 10.6556, 9.55816,
12660  9.05814, 8.52199, 7.9471, 7.33066, 6.66967, 6.20127,
12661  5.80277, 5.37547, 4.91728, 4.59144, 4.31623, 4.02114,
12662  3.75251, 3.50193, 3.23339, 3.00417, 2.75839, 2.54437,
12663  2.32561, 2.15239, 1.9922, 1.88034, 1.73463, 1.59055,
12664  1.4632, 1.32468, 1.23505, 1.14929, 1.0425, 0.95536,
12665  0.888831, 0.813289, 0.744414, 0.687185, 0.620697, 0.570785,
12666  0.510352, 0.473601, 0.426363, 0.389952, 0.356079, 0.320266,
12667  0.28592, 0.261886, 0.235198, 0.21122, 0.192861, 0.181598,
12668  0.168838, 0.171927, 0.205744, 0.331156, 0.592636, 0.316769,
12669  0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
12670  204.478, 202.521, 200.424, 198.174, 195.762, 193.176,
12671  190.403, 187.429, 184.24, 180.821, 177.155, 173.224,
12672  169.009, 164.49, 159.643, 154.447, 148.875, 142.9,
12673  136.494, 129.624, 122.258, 114.36, 105.891, 96.81,
12674  87.0726, 76.6316, 65.4361, 53.4315, 40.5593, 26.7569,
12675  18.6747, 17.9089, 17.0877, 16.2072, 15.2631, 14.2507,
12676  13.1651, 12.0011, 10.753, 9.5892, 9.08543, 8.54525,
12677  7.96604, 7.34497, 6.67902, 6.19645, 5.83121, 5.43957,
12678  5.01963, 4.66864, 4.35978, 4.0286, 3.73852, 3.50184,
12679  3.24806, 3.05191, 2.84948, 2.60225, 2.32577, 2.16352,
12680  2.01778, 1.87387, 1.77964, 1.67048, 1.48181, 1.35592,
12681  1.24046, 1.15738, 1.07579, 0.982086, 0.901536, 0.820232,
12682  0.74601, 0.693714, 0.633133, 0.588614, 0.532501, 0.484062,
12683  0.438063, 0.397283, 0.355187, 0.330439, 0.298886, 0.266902,
12684  0.24333, 0.215129, 0.194661, 0.179595, 0.168625, 0.167966,
12685  0.194314, 0.295363, 0.574418, 0.360408, 0.123748, 0.0,
12686  0.0, 0.0, 0.0, 0.0, 209.062, 207.07,
12687  204.935, 202.645, 200.19, 197.558, 194.735, 191.708,
12688  188.462, 184.982, 181.251, 177.249, 172.959, 168.359,
12689  163.426, 158.136, 152.464, 146.383, 139.862, 132.869,
12690  125.372, 117.332, 108.712, 99.4683, 89.5568, 78.929,
12691  67.5332, 55.3139, 42.2115, 28.1623, 18.6111, 17.8941,
12692  17.1253, 16.3009, 15.417, 14.4691, 13.4528, 12.363,
12693  11.1945, 10.0194, 9.47013, 8.88115, 8.2496, 7.57242,
12694  6.84629, 6.29684, 5.92827, 5.53307, 5.10931, 4.74821,
12695  4.45371, 4.13792, 3.82918, 3.54822, 3.24695, 3.02742,
12696  2.81632, 2.60322, 2.38247, 2.19643, 2.0206, 1.90425,
12697  1.76569, 1.61821, 1.49772, 1.38751, 1.30719, 1.1999,
12698  1.09837, 0.997006, 0.912264, 0.846768, 0.778798, 0.704383,
12699  0.644942, 0.587505, 0.533118, 0.487282, 0.437585, 0.401069,
12700  0.362984, 0.330645, 0.297993, 0.269071, 0.244764, 0.2181,
12701  0.198228, 0.180263, 0.165695, 0.162556, 0.187304, 0.263186,
12702  0.522983, 0.41087, 0.134616, 0.0, 0.0, 0.0,
12703  0.0, 0.0, 208.186, 206.219, 204.11, 201.849,
12704  199.424, 196.824, 194.037, 191.048, 187.842, 184.406,
12705  180.72, 176.769, 172.532, 167.988, 163.117, 157.893,
12706  152.292, 146.286, 139.846, 132.941, 125.536, 117.597,
12707  109.084, 99.9552, 90.167, 79.6715, 68.4174, 56.3501,
12708  43.4107, 29.5362, 18.7609, 18.023, 17.2318, 16.3833,
12709  15.4736, 14.4981, 13.4521, 12.3305, 11.1279, 9.84616,
12710  9.3493, 8.81652, 8.24525, 7.63269, 6.97587, 6.43238,
12711  6.0745, 5.69076, 5.27929, 4.88426, 4.52741, 4.14477,
12712  3.80089, 3.60144, 3.38757, 3.14838, 2.88798, 2.64412,
12713  2.41302, 2.23693, 2.08674, 1.90807, 1.76006, 1.64702,
12714  1.52194, 1.42261, 1.30915, 1.20569, 1.0767, 1.01932,
12715  0.937589, 0.85455, 0.777101, 0.7143, 0.649728, 0.604914,
12716  0.542741, 0.496486, 0.446767, 0.409144, 0.369391, 0.334979,
12717  0.303721, 0.270945, 0.244896, 0.22166, 0.201028, 0.183639,
12718  0.167364, 0.162249, 0.174896, 0.248133, 0.485096, 0.457716,
12719  0.15423, 0.0, 0.0, 0.0, 0.0, 0.0,
12720  209.656, 207.691, 205.585, 203.327, 200.905, 198.309,
12721  195.524, 192.539, 189.338, 185.905, 182.225, 178.278,
12722  174.046, 169.509, 164.643, 159.426, 153.832, 147.834,
12723  141.402, 134.505, 127.11, 119.18, 110.678, 101.561,
12724  91.7848, 81.3024, 70.0625, 58.0103, 45.0871, 31.2299,
12725  19.1377, 18.3983, 17.6056, 16.7555, 15.844, 14.8667,
12726  13.8187, 12.695, 11.4901, 10.1981, 9.61006, 9.0543,
12727  8.45837, 7.81938, 7.1342, 6.52866, 6.14693, 5.73761,
12728  5.29871, 4.88588, 4.56733, 4.22576, 3.88828, 3.64801,
12729  3.39038, 3.14273, 2.89455, 2.66552, 2.46605, 2.28536,
12730  2.11802, 1.96578, 1.80849, 1.648, 1.55555, 1.43177,
12731  1.31496, 1.21476, 1.10343, 1.03542, 0.927672, 0.852506,
12732  0.796159, 0.716813, 0.669917, 0.60808, 0.553038, 0.500524,
12733  0.459692, 0.412969, 0.376839, 0.342557, 0.308299, 0.278072,
12734  0.248074, 0.225135, 0.205914, 0.185148, 0.168919, 0.162332,
12735  0.171261, 0.224968, 0.422784, 0.494638, 0.174855, 0.0,
12736  0.0, 0.0, 0.0, 0.0, 208.274, 206.336,
12737  204.258, 202.03, 199.641, 197.079, 194.332, 191.387,
12738  188.228, 184.842, 181.211, 177.317, 173.142, 168.666,
12739  163.865, 158.718, 153.199, 147.281, 140.936, 134.131,
12740  126.836, 119.012, 110.624, 101.629, 91.9844, 81.6427,
12741  70.5536, 58.6631, 45.9133, 32.2421, 18.9999, 18.2669,
12742  17.4808, 16.638, 15.7342, 14.7651, 13.726, 12.6118,
12743  11.4171, 10.136, 9.50014, 8.97989, 8.42204, 7.82388,
12744  7.18249, 6.57737, 6.19691, 5.78895, 5.35151, 4.93161,
12745  4.64819, 4.34429, 4.02304, 3.71919, 3.39338, 3.13543,
12746  2.93987, 2.741, 2.54744, 2.35598, 2.16916, 1.99507,
12747  1.82988, 1.68699, 1.52636, 1.42064, 1.32177, 1.21173,
12748  1.10602, 1.01138, 0.937098, 0.87674, 0.80029, 0.738357,
12749  0.67942, 0.616811, 0.565025, 0.514512, 0.461173, 0.418928,
12750  0.382799, 0.348475, 0.315656, 0.28304, 0.256144, 0.228403,
12751  0.20671, 0.185199, 0.171323, 0.160434, 0.162835, 0.209524,
12752  0.375444, 0.536786, 0.195114, 0.0, 0.0, 0.0,
12753  0.0, 0.0, 220.927, 218.876, 216.677, 214.319,
12754  211.791, 209.08, 206.173, 203.057, 199.714, 196.131,
12755  192.288, 188.168, 183.75, 179.012, 173.932, 168.486,
12756  162.645, 156.383, 149.667, 142.467, 134.746, 126.467,
12757  117.59, 108.072, 97.8654, 86.9214, 75.1865, 62.6036,
12758  49.1113, 34.6439, 19.2435, 18.5027, 17.7082, 16.8564,
12759  15.943, 14.9636, 13.9134, 12.7874, 11.5799, 10.2852,
12760  9.58761, 9.09807, 8.57316, 8.01031, 7.40679, 6.80199,
12761  6.40038, 5.96975, 5.50801, 5.04116, 4.71625, 4.36787,
12762  3.99693, 3.78679, 3.56145, 3.29389, 2.97387, 2.68199,
12763  2.51126, 2.33441, 2.15514, 2.01021, 1.86805, 1.69251,
12764  1.58859, 1.45821, 1.33824, 1.25475, 1.15824, 1.05874,
12765  0.967713, 0.877773, 0.823151, 0.743645, 0.675872, 0.619707,
12766  0.567887, 0.524623, 0.466578, 0.427055, 0.38442, 0.354117,
12767  0.316835, 0.285286, 0.257063, 0.233169, 0.206461, 0.185641,
12768  0.170594, 0.158352, 0.160128, 0.194636, 0.334492, 0.56241,
12769  0.224986, 0.0, 0.0, 0.0, 0.0, 0.0,
12770  208.418, 206.508, 204.459, 202.262, 199.906, 197.38,
12771  194.671, 191.766, 188.652, 185.313, 181.732, 177.893,
12772  173.776, 169.361, 164.628, 159.552, 154.11, 148.274,
12773  142.017, 135.308, 128.113, 120.399, 112.127, 103.257,
12774  93.7467, 83.5487, 72.6138, 60.8887, 48.3162, 34.8352,
12775  20.3799, 18.476, 17.709, 16.8865, 16.0045, 15.0588,
12776  14.0448, 12.9575, 11.7916, 10.5415, 9.75929, 9.24001,
12777  8.68321, 8.08616, 7.44597, 6.77948, 6.38616, 5.96441,
12778  5.51219, 5.0382, 4.73382, 4.40745, 4.05749, 3.80861,
12779  3.55251, 3.29216, 3.03953, 2.78578, 2.59367, 2.40072,
12780  2.22641, 2.05165, 1.87903, 1.7439, 1.61392, 1.4842,
12781  1.36581, 1.26081, 1.15559, 1.05522, 0.97446, 0.895294,
12782  0.831704, 0.749427, 0.691237, 0.633767, 0.575578, 0.524021,
12783  0.481674, 0.432624, 0.400994, 0.35874, 0.327273, 0.289205,
12784  0.260613, 0.236943, 0.210459, 0.19106, 0.17168, 0.160033,
12785  0.158394, 0.179679, 0.299808, 0.564519, 0.255575, 0.0,
12786  0.0, 0.0, 0.0, 0.0, 210.655, 208.738,
12787  206.681, 204.477, 202.112, 199.577, 196.859, 193.944,
12788  190.819, 187.468, 183.875, 180.021, 175.89, 171.46,
12789  166.71, 161.616, 156.155, 150.298, 144.019, 137.286,
12790  130.066, 122.324, 114.023, 105.122, 95.5777, 85.3437,
12791  74.3701, 62.6035, 49.9865, 36.4577, 21.9513, 18.7365,
12792  17.9573, 17.1219, 16.226, 15.2654, 14.2354, 13.131,
12793  11.9468, 10.6769, 9.8141, 9.30403, 8.75709, 8.17063,
12794  7.54179, 6.8675, 6.41702, 5.9425, 5.4337, 4.88812,
12795  4.63418, 4.37514, 4.09738, 3.82016, 3.52716, 3.24837,
12796  3.04973, 2.83658, 2.60656, 2.38032, 2.22071, 2.06844,
12797  1.92215, 1.76422, 1.62703, 1.48279, 1.34946, 1.28866,
12798  1.20747, 1.09098, 0.991494, 0.927994, 0.825546, 0.758493,
12799  0.701826, 0.643611, 0.581425, 0.532097, 0.478277, 0.434877,
12800  0.400375, 0.362273, 0.331937, 0.296793, 0.264987, 0.23712,
12801  0.212878, 0.190885, 0.176593, 0.159946, 0.155416, 0.17146,
12802  0.263101, 0.530394, 0.298194, 0.0, 0.0, 0.0,
12803  0.0, 0.0, 212.644, 210.724, 208.666, 206.458,
12804  204.092, 201.554, 198.832, 195.915, 192.786, 189.431,
12805  185.834, 181.976, 177.84, 173.405, 168.65, 163.551,
12806  158.083, 152.22, 145.934, 139.193, 131.965, 124.215,
12807  115.904, 106.994, 97.4387, 87.1934, 76.2076, 64.428,
12808  51.797, 38.2533, 23.7307, 19.1962, 18.3896, 17.5247,
12809  16.5972, 15.6028, 14.5365, 13.3931, 12.1671, 10.8525,
12810  9.87889, 9.35408, 8.79134, 8.18794, 7.54093, 6.84717,
12811  6.45619, 6.08604, 5.68914, 5.26357, 4.87958, 4.47869,
12812  4.04882, 3.78013, 3.56016, 3.32728, 3.0918, 2.83947,
12813  2.63054, 2.41606, 2.26304, 2.09135, 1.89743, 1.75214,
12814  1.63273, 1.53705, 1.43613, 1.28246, 1.17714, 1.08943,
12815  1.00019, 0.930001, 0.856607, 0.77379, 0.708746, 0.656816,
12816  0.591357, 0.540318, 0.495351, 0.444331, 0.408994, 0.370596,
12817  0.334895, 0.301616, 0.269658, 0.245315, 0.217557, 0.194106,
12818  0.1755, 0.159501, 0.154795, 0.166034, 0.239994, 0.501362,
12819  0.333752, 0.0, 0.0, 0.0, 0.0, 0.0,
12820  215.61, 213.67, 211.59, 209.36, 206.969, 204.405,
12821  201.655, 198.707, 195.546, 192.157, 188.522, 184.625,
12822  180.446, 175.965, 171.161, 166.009, 160.485, 154.561,
12823  148.21, 141.4, 134.097, 126.267, 117.871, 108.868,
12824  99.214, 88.8628, 77.7635, 65.8621, 53.1006, 39.4169,
12825  24.7443, 18.8832, 18.1145, 17.2902, 16.4064, 15.4587,
12826  14.4425, 13.3528, 12.1844, 10.9316, 9.92373, 9.41804,
12827  8.8758, 8.29438, 7.67094, 7.00245, 6.56395, 6.16901,
12828  5.74553, 5.29144, 4.94529, 4.61403, 4.25883, 3.96834,
12829  3.70584, 3.4273, 3.15943, 2.87221, 2.67382, 2.47272,
12830  2.29534, 2.11882, 1.95511, 1.80333, 1.66828, 1.54842,
12831  1.43145, 1.35497, 1.21214, 1.1054, 1.0242, 0.923285,
12832  0.873538, 0.777469, 0.724003, 0.65632, 0.59295, 0.549024,
12833  0.501129, 0.455521, 0.420162, 0.377023, 0.338766, 0.305664,
12834  0.274495, 0.248104, 0.21639, 0.200334, 0.177819, 0.163361,
12835  0.153814, 0.158342, 0.222388, 0.46123, 0.377253, 0.0,
12836  0.0, 0.0, 0.0, 0.0, 219.967, 218.005,
12837  215.9, 213.644, 211.225, 208.631, 205.849, 202.866,
12838  199.668, 196.239, 192.562, 188.619, 184.391, 179.858,
12839  174.997, 169.785, 164.196, 158.203, 151.777, 144.887,
12840  137.498, 129.576, 121.082, 111.973, 102.206, 91.7335,
12841  80.5041, 68.4631, 55.5519, 41.7077, 26.863, 19.6001,
12842  18.8107, 17.9642, 17.0566, 16.0834, 15.0398, 13.9208,
12843  12.721, 11.4344, 10.31, 9.7555, 9.16092, 8.52337,
12844  7.83974, 7.10671, 6.61055, 6.20412, 5.76832, 5.30103,
12845  4.93361, 4.59979, 4.24184, 3.93607, 3.66954, 3.38389,
12846  3.14933, 2.89783, 2.69205, 2.48534, 2.29099, 2.11208,
12847  1.99798, 1.81741, 1.65087, 1.53558, 1.41311, 1.32597,
12848  1.21601, 1.11553, 1.04559, 0.950516, 0.872162, 0.802623,
12849  0.745867, 0.664101, 0.608771, 0.553098, 0.513043, 0.462925,
12850  0.417834, 0.383996, 0.344452, 0.312556, 0.276013, 0.248558,
12851  0.225133, 0.197416, 0.181256, 0.165875, 0.151967, 0.156346,
12852  0.202472, 0.405772, 0.441507, 0.0, 0.0, 0.0,
12853  0.0, 0.0, 217.429, 215.503, 213.437, 211.222,
12854  208.848, 206.301, 203.57, 200.642, 197.503, 194.136,
12855  190.527, 186.656, 182.506, 178.055, 173.283, 168.167,
12856  162.68, 156.797, 150.489, 143.725, 136.472, 128.695,
12857  120.356, 111.415, 101.827, 91.5463, 80.5227, 68.7024,
12858  56.0279, 42.4374, 27.8648, 19.4348, 18.6626, 17.8346,
12859  16.9468, 15.9948, 14.974, 13.8795, 12.7058, 11.4474,
12860  10.2712, 9.72246, 9.13404, 8.50309, 7.82654, 7.1011,
12861  6.59442, 6.22508, 5.82905, 5.4044, 5.01697, 4.64657,
12862  4.24942, 3.92368, 3.68627, 3.43171, 3.21037, 2.97803,
12863  2.74172, 2.49304, 2.32165, 2.15934, 2.00417, 1.85661,
12864  1.71472, 1.58057, 1.46163, 1.3268, 1.23847, 1.14554,
12865  1.05724, 0.969113, 0.88107, 0.808511, 0.746733, 0.688953,
12866  0.626201, 0.557745, 0.515926, 0.459949, 0.422207, 0.380441,
12867  0.348234, 0.319909, 0.28535, 0.255963, 0.227645, 0.204719,
12868  0.181494, 0.163046, 0.152038, 0.149007, 0.187741, 0.364858,
12869  0.477238, 0.145743, 0.0, 0.0, 0.0, 0.0,
12870  221.87, 219.914, 217.816, 215.567, 213.155, 210.569,
12871  207.796, 204.822, 201.634, 198.215, 194.55, 190.619,
12872  186.404, 181.885, 177.039, 171.843, 166.271, 160.297,
12873  153.891, 147.022, 139.657, 131.759, 123.291, 114.211,
12874  104.474, 94.0338, 82.8392, 70.8355, 57.9644, 44.1631,
12875  29.3644, 19.4939, 18.7414, 17.9344, 17.0692, 16.1414,
12876  15.1466, 14.0799, 12.9361, 11.7097, 10.4902, 9.94951,
12877  9.36979, 8.74818, 8.08164, 7.36694, 6.8074, 6.39691,
12878  5.95675, 5.48478, 5.05892, 4.67814, 4.26984, 3.92104,
12879  3.68875, 3.43966, 3.20913, 2.96983, 2.738, 2.50313,
12880  2.33505, 2.18111, 2.00949, 1.87362, 1.7614, 1.64155,
12881  1.4887, 1.33916, 1.22813, 1.14513, 1.06642, 0.971631,
12882  0.883861, 0.821367, 0.751939, 0.687477, 0.621946, 0.566581,
12883  0.511876, 0.478286, 0.428342, 0.387095, 0.355035, 0.315555,
12884  0.29099, 0.258983, 0.229153, 0.208329, 0.184383, 0.166105,
12885  0.152577, 0.145367, 0.175517, 0.322129, 0.512755, 0.162137,
12886  0.0, 0.0, 0.0, 0.0, 226.143, 224.16,
12887  222.035, 219.755, 217.312, 214.691, 211.881, 208.868,
12888  205.638, 202.173, 198.459, 194.476, 190.205, 185.626,
12889  180.715, 175.45, 169.804, 163.751, 157.26, 150.299,
12890  142.836, 134.833, 126.252, 117.051, 107.185, 96.6062,
12891  85.2626, 73.0993, 60.057, 46.0721, 31.0766, 19.7267,
12892  18.9404, 18.0972, 17.1932, 16.2237, 15.1843, 14.0697,
12893  12.8746, 11.593, 10.2452, 9.74914, 9.21719, 8.64679,
12894  8.03518, 7.37936, 6.82712, 6.43054, 6.0053, 5.54933,
12895  5.14426, 4.82211, 4.47668, 4.12866, 3.80761, 3.46336,
12896  3.24384, 3.06253, 2.84877, 2.60417, 2.38424, 2.16996,
12897  2.017, 1.8704, 1.73701, 1.63038, 1.47711, 1.37173,
12898  1.25793, 1.15279, 1.05317, 0.970961, 0.902215, 0.823908,
12899  0.759885, 0.692103, 0.633694, 0.585731, 0.52281, 0.487578,
12900  0.431482, 0.396333, 0.359061, 0.322642, 0.291217, 0.266244,
12901  0.235578, 0.211589, 0.186809, 0.165888, 0.151743, 0.148013,
12902  0.16469, 0.282298, 0.535805, 0.191726, 0.0, 0.0,
12903  0.0, 0.0, 226.712, 224.741, 222.628, 220.362,
12904  217.932, 215.327, 212.533, 209.538, 206.326, 202.882,
12905  199.189, 195.229, 190.983, 186.43, 181.548, 176.313,
12906  170.7, 164.681, 158.228, 151.308, 143.887, 135.931,
12907  127.4, 118.252, 108.443, 97.9249, 86.6469, 74.5539,
12908  61.587, 47.683, 32.7742, 20.1544, 19.3512, 18.49,
12909  17.5665, 16.5763, 15.5145, 14.376, 13.1552, 11.8462,
12910  10.4425, 9.88918, 9.35631, 8.78493, 8.17225, 7.5153,
12911  6.92237, 6.49324, 6.03309, 5.53969, 5.09931, 4.79725,
12912  4.47337, 4.14232, 3.84632, 3.52892, 3.29219, 3.09473,
12913  2.87053, 2.6161, 2.42327, 2.27385, 2.09665, 1.91881,
12914  1.75082, 1.61973, 1.4824, 1.38789, 1.27337, 1.1891,
12915  1.08298, 0.992536, 0.918981, 0.864929, 0.768591, 0.718651,
12916  0.642337, 0.597682, 0.533985, 0.487683, 0.447901, 0.406397,
12917  0.370458, 0.326926, 0.295679, 0.264394, 0.238848, 0.211364,
12918  0.18804, 0.170137, 0.157311, 0.145394, 0.160655, 0.257167,
12919  0.531706, 0.217021, 0.0, 0.0, 0.0, 0.0,
12920  235.799, 233.756, 231.566, 229.217, 226.699, 223.999,
12921  221.103, 217.999, 214.67, 211.1, 207.273, 203.169,
12922  198.768, 194.05, 188.99, 183.565, 177.747, 171.509,
12923  164.821, 157.649, 149.958, 141.712, 132.87, 123.39,
12924  113.223, 102.323, 90.6341, 78.1009, 64.6619, 50.2518,
12925  34.8002, 20.3484, 19.5549, 18.704, 17.7916, 16.8133,
12926  15.7643, 14.6395, 13.4334, 12.1402, 10.7534, 10.0856,
12927  9.51107, 8.89506, 8.23454, 7.52628, 6.87971, 6.49744,
12928  6.08755, 5.64803, 5.21416, 4.85628, 4.47253, 4.08541,
12929  3.82959, 3.55528, 3.30018, 3.05711, 2.82888, 2.63569,
12930  2.45388, 2.28459, 2.11066, 1.92946, 1.74269, 1.64892,
12931  1.54586, 1.42542, 1.32262, 1.2065, 1.09507, 1.00862,
12932  0.926204, 0.856929, 0.770446, 0.715171, 0.655722, 0.593303,
12933  0.552547, 0.494473, 0.454644, 0.413335, 0.36738, 0.336918,
12934  0.302201, 0.270392, 0.243125, 0.212617, 0.191726, 0.172887,
12935  0.153669, 0.143842, 0.151844, 0.226386, 0.50708, 0.245964,
12936  0.0, 0.0, 0.0, 0.0, 225.046, 223.12,
12937  221.055, 218.841, 216.466, 213.92, 211.19, 208.263,
12938  205.124, 201.758, 198.149, 194.28, 190.13, 185.681,
12939  180.91, 175.795, 170.309, 164.428, 158.121, 151.358,
12940  144.107, 136.332, 127.995, 119.055, 109.47, 99.1913,
12941  88.1701, 76.3525, 63.6808, 50.0934, 35.524, 20.5932,
12942  19.7849, 18.9181, 17.9887, 16.9921, 15.9235, 14.7777,
12943  13.549, 12.2316, 10.819, 10.088, 9.54363, 8.95995,
12944  8.3341, 7.66301, 7.0085, 6.59691, 6.15557, 5.68235,
12945  5.20868, 4.85955, 4.48518, 4.09484, 3.88584, 3.66174,
12946  3.43163, 3.19607, 2.95536, 2.7247, 2.50454, 2.30722,
12947  2.13143, 1.96088, 1.79512, 1.68487, 1.55192, 1.42726,
12948  1.32708, 1.20714, 1.09535, 1.00674, 0.934511, 0.859879,
12949  0.788197, 0.729575, 0.654864, 0.603731, 0.547038, 0.498746,
12950  0.454506, 0.41313, 0.377965, 0.336243, 0.30294, 0.274284,
12951  0.253262, 0.22039, 0.195688, 0.176646, 0.157703, 0.145721,
12952  0.149968, 0.209247, 0.474576, 0.293699, 0.0, 0.0,
12953  0.0, 0.0, 224.371, 222.469, 220.429, 218.242,
12954  215.897, 213.382, 210.686, 207.795, 204.695, 201.37,
12955  197.806, 193.984, 189.886, 185.492, 180.78, 175.727,
12956  170.31, 164.501, 158.272, 151.593, 144.431, 136.752,
12957  128.517, 119.688, 110.221, 100.069, 89.1842, 77.5124,
12958  64.9972, 51.5774, 37.1879, 21.7585, 20.3368, 19.4516,
12959  18.5025, 17.4848, 16.3935, 15.2233, 13.9686, 12.6232,
12960  11.1806, 10.3365, 9.76158, 9.14509, 8.48403, 7.77521,
12961  7.05733, 6.66302, 6.2402, 5.78683, 5.31946, 5.00075,
12962  4.65901, 4.29258, 3.99359, 3.67625, 3.37951, 3.12861,
12963  2.87959, 2.68383, 2.49701, 2.34381, 2.16173, 1.97065,
12964  1.83145, 1.68913, 1.55514, 1.43915, 1.3329, 1.22434,
12965  1.12652, 1.0308, 0.949784, 0.875406, 0.801219, 0.74077,
12966  0.659848, 0.619373, 0.550115, 0.508934, 0.465379, 0.416437,
12967  0.379919, 0.340838, 0.30878, 0.278308, 0.246597, 0.223016,
12968  0.197299, 0.177028, 0.161285, 0.14388, 0.14502, 0.189728,
12969  0.425497, 0.332351, 0.0, 0.0, 0.0, 0.0,
12970  227.215, 225.293, 223.232, 221.022, 218.652, 216.111,
12971  213.386, 210.465, 207.332, 203.973, 200.371, 196.509,
12972  192.368, 187.927, 183.166, 178.06, 172.586, 166.716,
12973  160.421, 153.672, 146.435, 138.675, 130.355, 121.432,
12974  111.866, 101.607, 90.608, 78.8136, 66.1668, 52.6061,
12975  38.0654, 22.4739, 19.7904, 18.9499, 18.0485, 17.0821,
12976  16.0458, 14.9346, 13.7431, 12.4655, 11.0956, 10.2248,
12977  9.69692, 9.13086, 8.52389, 7.87305, 7.18206, 6.78148,
12978  6.35195, 5.89139, 5.40009, 5.08124, 4.73933, 4.37273,
12979  4.05783, 3.73081, 3.4293, 3.21535, 2.98344, 2.71897,
12980  2.47613, 2.34041, 2.18559, 2.01676, 1.87791, 1.73827,
12981  1.60883, 1.47514, 1.33286, 1.23867, 1.13594, 1.0352,
12982  0.963318, 0.887366, 0.813305, 0.73771, 0.683598, 0.629982,
12983  0.569012, 0.507693, 0.466263, 0.42522, 0.380615, 0.347383,
12984  0.319757, 0.286508, 0.253981, 0.222236, 0.199083, 0.181895,
12985  0.159066, 0.144541, 0.145184, 0.177183, 0.373391, 0.3851,
12986  0.0, 0.0, 0.0, 0.0, 231.506, 229.557,
12987  227.467, 225.227, 222.824, 220.248, 217.486, 214.524,
12988  211.348, 207.942, 204.291, 200.375, 196.177, 191.675,
12989  186.848, 181.672, 176.122, 170.171, 163.789, 156.947,
12990  149.61, 141.743, 133.307, 124.262, 114.563, 104.163,
12991  93.0119, 81.0546, 68.2332, 54.4852, 39.7437, 23.9369,
12992  19.9355, 19.1262, 18.2585, 17.328, 16.3303, 15.2605,
12993  14.1134, 12.8834, 11.5645, 10.61, 10.0242, 9.39612,
12994  8.72262, 8.00043, 7.22606, 6.78683, 6.34295, 5.86699,
12995  5.35664, 5.04852, 4.73695, 4.40286, 4.10933, 3.81125,
12996  3.50983, 3.24822, 2.97081, 2.72534, 2.48382, 2.33484,
12997  2.17936, 2.01713, 1.85951, 1.71676, 1.59902, 1.48746,
12998  1.35151, 1.2693, 1.13937, 1.06452, 0.989851, 0.881268,
12999  0.812367, 0.753789, 0.693853, 0.626271, 0.576084, 0.518772,
13000  0.479338, 0.436521, 0.394907, 0.351431, 0.316272, 0.288114,
13001  0.260122, 0.231702, 0.207648, 0.184874, 0.162236, 0.145161,
13002  0.142523, 0.169424, 0.335298, 0.418516, 0.0, 0.0,
13003  0.0, 0.0, 232.688, 230.744, 228.66, 226.425,
13004  224.028, 221.458, 218.702, 215.748, 212.579, 209.182,
13005  205.539, 201.633, 197.445, 192.954, 188.139, 182.975,
13006  177.439, 171.502, 165.136, 158.31, 150.991, 143.143,
13007  134.728, 125.705, 116.029, 105.655, 94.5302, 82.6019,
13008  69.8115, 56.0968, 41.3911, 25.6225, 20.2956, 19.4542,
13009  18.5519, 17.5845, 16.5472, 15.4348, 14.2421, 12.9632,
13010  11.5919, 10.5418, 9.97359, 9.36435, 8.71109, 8.01062,
13011  7.25953, 6.8087, 6.38776, 5.9364, 5.45243, 5.0875,
13012  4.72507, 4.33645, 4.04739, 3.78932, 3.52774, 3.33504,
13013  3.1284, 2.87642, 2.61468, 2.43441, 2.25988, 2.09976,
13014  1.91084, 1.73534, 1.58837, 1.47165, 1.36423, 1.30218,
13015  1.17434, 1.06514, 0.991016, 0.89281, 0.820616, 0.76993,
13016  0.681493, 0.633222, 0.580836, 0.526697, 0.478093, 0.438137,
13017  0.396887, 0.355625, 0.323387, 0.296532, 0.260913, 0.233605,
13018  0.208886, 0.186814, 0.163766, 0.145327, 0.139127, 0.155788,
13019  0.294051, 0.466194, 0.0, 0.0, 0.0, 0.0,
13020  229.984, 228.081, 226.041, 223.854, 221.508, 218.993,
13021  216.296, 213.405, 210.304, 206.979, 203.414, 199.591,
13022  195.493, 191.097, 186.385, 181.331, 175.913, 170.103,
13023  163.873, 157.193, 150.03, 142.349, 134.113, 125.282,
13024  115.813, 105.66, 94.773, 83.0992, 70.5817, 57.1596,
13025  42.7675, 27.3354, 20.8103, 19.9359, 18.9983, 17.9929,
13026  16.9149, 15.7589, 14.5195, 13.1904, 11.7654, 10.5968,
13027  10.0171, 9.39558, 8.72911, 8.01447, 7.24819, 6.79908,
13028  6.43118, 6.0367, 5.61371, 5.24836, 4.88475, 4.49487,
13029  4.15158, 3.82781, 3.49006, 3.25867, 3.01056, 2.8227,
13030  2.63086, 2.41216, 2.22089, 2.10421, 1.93996, 1.78742,
13031  1.65997, 1.53366, 1.4208, 1.26218, 1.19121, 1.11326,
13032  1.00429, 0.933494, 0.840559, 0.779014, 0.694296, 0.646408,
13033  0.583883, 0.538485, 0.480642, 0.441928, 0.401623, 0.363929,
13034  0.332471, 0.298031, 0.267123, 0.24024, 0.212137, 0.183138,
13035  0.164846, 0.148492, 0.139947, 0.148899, 0.257986, 0.503511,
13036  0.0, 0.0, 0.0, 0.0, 231.632, 229.724,
13037  227.677, 225.482, 223.129, 220.606, 217.9, 214.999,
13038  211.889, 208.553, 204.976, 201.141, 197.029, 192.62,
13039  187.892, 182.822, 177.386, 171.557, 165.307, 158.605,
13040  151.418, 143.713, 135.45, 126.591, 117.091, 106.905,
13041  95.9822, 84.2704, 71.7122, 58.2465, 43.8076, 28.3253,
13042  20.5196, 19.6855, 18.791, 17.8319, 16.8035, 15.7008,
13043  14.5184, 13.2506, 11.8911, 10.6939, 10.1236, 9.51219,
13044  8.85655, 8.15352, 7.39969, 6.89959, 6.50626, 6.08451,
13045  5.63228, 5.2413, 4.86725, 4.46617, 4.12363, 3.82927,
13046  3.51363, 3.27978, 3.03039, 2.87166, 2.72756, 2.52169,
13047  2.3012, 2.07905, 1.94047, 1.82387, 1.69622, 1.55194,
13048  1.44102, 1.29671, 1.20478, 1.1184, 1.01904, 0.925868,
13049  0.853935, 0.779886, 0.72329, 0.643711, 0.596184, 0.548863,
13050  0.49731, 0.446543, 0.41174, 0.363538, 0.33472, 0.302446,
13051  0.275316, 0.242628, 0.21235, 0.193684, 0.170605, 0.151011,
13052  0.13846, 0.14794, 0.231662, 0.494674, 0.0, 0.0,
13053  0.0, 0.0, 224.999, 223.161, 221.19, 219.077,
13054  216.812, 214.382, 211.777, 208.984, 205.989, 202.777,
13055  199.334, 195.641, 191.682, 187.436, 182.884, 178.003,
13056  172.768, 167.156, 161.138, 154.685, 147.766, 140.347,
13057  132.392, 123.862, 114.715, 104.907, 94.3907, 83.1142,
13058  71.0228, 58.0576, 44.1555, 29.2487, 20.4869, 19.6625,
13059  18.7785, 17.8307, 16.8143, 15.7246, 14.556, 13.303,
13060  11.9595, 10.7072, 10.1796, 9.61391, 9.00731, 8.35687,
13061  7.65943, 7.12515, 6.694, 6.23169, 5.73596, 5.32498,
13062  4.967, 4.58316, 4.24451, 3.96557, 3.66647, 3.40579,
13063  3.13269, 2.90916, 2.69595, 2.47804, 2.26583, 2.13401,
13064  1.95583, 1.78253, 1.67451, 1.56963, 1.4141, 1.28175,
13065  1.22497, 1.10199, 1.03272, 0.948231, 0.856803, 0.794411,
13066  0.719329, 0.659116, 0.607483, 0.552569, 0.502869, 0.447429,
13067  0.415343, 0.381069, 0.338476, 0.306998, 0.276111, 0.245612,
13068  0.219698, 0.193976, 0.17082, 0.151089, 0.138526, 0.141385,
13069  0.207222, 0.498062, 0.192457, 0.0, 0.0, 0.0,
13070  232.888, 230.994, 228.963, 226.785, 224.45, 221.946,
13071  219.261, 216.382, 213.295, 209.985, 206.436, 202.63,
13072  198.549, 194.174, 189.482, 184.451, 179.056, 173.272,
13073  167.069, 160.418, 153.287, 145.64, 137.441, 128.649,
13074  119.222, 109.114, 98.2746, 86.6523, 74.1902, 60.8274,
13075  46.4989, 31.1349, 20.8393, 20.0103, 19.1214, 18.1682,
13076  17.1462, 16.0503, 14.8752, 13.6152, 12.2641, 10.9249,
13077  10.3853, 9.80674, 9.18632, 8.52108, 7.80775, 7.22592,
13078  6.77099, 6.28318, 5.76013, 5.31786, 4.95664, 4.56932,
13079  4.21639, 3.93808, 3.63967, 3.39372, 3.14618, 2.91171,
13080  2.67758, 2.47856, 2.28916, 2.15812, 1.97312, 1.78154,
13081  1.69636, 1.57325, 1.44305, 1.33146, 1.21324, 1.10768,
13082  1.01847, 0.941085, 0.88165, 0.785603, 0.727094, 0.668501,
13083  0.607403, 0.552285, 0.512754, 0.462254, 0.413635, 0.382905,
13084  0.340261, 0.313761, 0.276465, 0.249809, 0.222411, 0.196143,
13085  0.173067, 0.153206, 0.140845, 0.13813, 0.189613, 0.47071,
13086  0.22824, 0.0, 0.0, 0.0, 232.204, 230.328,
13087  228.317, 226.16, 223.848, 221.369, 218.71, 215.859,
13088  212.802, 209.525, 206.01, 202.242, 198.201, 193.868,
13089  189.222, 184.24, 178.898, 173.171, 167.029, 160.443,
13090  153.382, 145.81, 137.691, 128.985, 119.65, 109.64,
13091  98.9075, 87.399, 75.0588, 61.8267, 47.6385, 32.4249,
13092  20.9683, 20.1467, 19.2656, 18.3209, 17.308, 16.2218,
13093  15.0572, 13.8083, 12.4693, 11.064, 10.5142, 9.92458,
13094  9.29237, 8.61448, 7.88759, 7.27567, 6.83288, 6.3581,
13095  5.849, 5.39186, 5.01847, 4.61809, 4.24584, 3.97705,
13096  3.68884, 3.44063, 3.196, 2.963, 2.73609, 2.52913,
13097  2.32556, 2.16536, 2.02269, 1.89144, 1.71751, 1.58447,
13098  1.43344, 1.35269, 1.24223, 1.13398, 1.04101, 0.970207,
13099  0.882204, 0.803535, 0.746662, 0.694098, 0.614982, 0.564788,
13100  0.502221, 0.464327, 0.422687, 0.38436, 0.346628, 0.321757,
13101  0.280528, 0.249065, 0.223321, 0.195549, 0.172122, 0.159872,
13102  0.138051, 0.135462, 0.173946, 0.431838, 0.255178, 0.0,
13103  0.0, 0.0, 237.493, 235.585, 233.539, 231.345,
13104  228.992, 226.469, 223.764, 220.864, 217.754, 214.419,
13105  210.843, 207.009, 202.898, 198.49, 193.763, 188.694,
13106  183.259, 177.432, 171.183, 164.483, 157.298, 149.594,
13107  141.334, 132.476, 122.979, 112.795, 101.875, 90.1658,
13108  77.6105, 64.148, 49.7125, 34.2338, 21.295, 20.4613,
13109  19.5674, 18.609, 17.5812, 16.4792, 15.2976, 14.0305,
13110  12.6719, 11.2151, 10.6079, 10.0065, 9.36154, 8.67,
13111  7.92849, 7.28091, 6.84824, 6.3843, 5.88683, 5.42951,
13112  5.07886, 4.70288, 4.33119, 4.04046, 3.72873, 3.46673,
13113  3.22338, 2.98785, 2.76273, 2.56924, 2.39471, 2.2091,
13114  2.01919, 1.83647, 1.74048, 1.57476, 1.46048, 1.35576,
13115  1.25743, 1.15156, 1.05889, 0.967612, 0.899769, 0.822553,
13116  0.760507, 0.697567, 0.622058, 0.573268, 0.528064, 0.469088,
13117  0.425568, 0.387932, 0.355701, 0.315188, 0.285947, 0.257194,
13118  0.224493, 0.197309, 0.175814, 0.156676, 0.139496, 0.132079,
13119  0.161513, 0.38354, 0.28956, 0.0, 0.0, 0.0,
13120  241.779, 239.842, 237.764, 235.537, 233.148, 230.587,
13121  227.841, 224.896, 221.739, 218.353, 214.723, 210.83,
13122  206.656, 202.18, 197.381, 192.235, 186.717, 180.8,
13123  174.456, 167.653, 160.359, 152.538, 144.151, 135.158,
13124  125.516, 115.176, 104.089, 92.2015, 79.4545, 65.7863,
13125  51.1304, 35.4153, 20.9835, 20.1906, 19.3404, 18.4287,
13126  17.4512, 16.403, 15.2791, 14.0739, 12.7816, 11.396,
13127  10.7315, 10.1428, 9.51165, 8.83484, 8.10911, 7.43688,
13128  6.98571, 6.50193, 5.98319, 5.49523, 5.15266, 4.78534,
13129  4.41314, 4.13852, 3.84405, 3.55531, 3.26544, 3.00577,
13130  2.80346, 2.59869, 2.39067, 2.19753, 2.02633, 1.8993,
13131  1.75226, 1.59567, 1.48254, 1.37473, 1.28342, 1.15592,
13132  1.05403, 0.996178, 0.909271, 0.828051, 0.749032, 0.697974,
13133  0.631699, 0.573024, 0.536523, 0.474874, 0.440002, 0.394337,
13134  0.353148, 0.320425, 0.28816, 0.26183, 0.231169, 0.205902,
13135  0.180839, 0.159804, 0.140731, 0.132414, 0.154619, 0.321591,
13136  0.33856, 0.0, 0.0, 0.0, 240.166, 238.264,
13137  236.224, 234.037, 231.693, 229.178, 226.482, 223.591,
13138  220.491, 217.167, 213.603, 209.782, 205.684, 201.29,
13139  196.578, 191.526, 186.109, 180.301, 174.072, 167.394,
13140  160.233, 152.554, 144.321, 135.492, 126.026, 115.875,
13141  104.991, 93.3204, 80.8062, 67.3877, 52.9994, 37.5714,
13142  22.1136, 21.2259, 20.274, 19.2533, 18.1589, 16.9854,
13143  15.7271, 14.3778, 12.931, 11.3797, 10.6106, 10.0262,
13144  9.3996, 8.72769, 8.00721, 7.32333, 6.93484, 6.51827,
13145  6.0716, 5.61812, 5.23586, 4.82598, 4.39927, 4.10793,
13146  3.79554, 3.51337, 3.26393, 3.02642, 2.83438, 2.64116,
13147  2.45056, 2.238, 2.04107, 1.91918, 1.78553, 1.63717,
13148  1.49639, 1.38761, 1.27434, 1.18746, 1.09706, 0.972018,
13149  0.89393, 0.841311, 0.760902, 0.70439, 0.634524, 0.587488,
13150  0.538655, 0.483374, 0.442835, 0.398791, 0.362224, 0.330183,
13151  0.29125, 0.260853, 0.236354, 0.210044, 0.18112, 0.163703,
13152  0.144822, 0.13344, 0.147124, 0.289148, 0.382891, 0.0,
13153  0.0, 0.0, 244.456, 242.521, 240.447, 238.222,
13154  235.837, 233.279, 230.537, 227.596, 224.443, 221.062,
13155  217.437, 213.55, 209.382, 204.912, 200.12, 194.981,
13156  189.471, 183.562, 177.227, 170.434, 163.15, 155.339,
13157  146.965, 137.984, 128.355, 118.03, 106.959, 95.088,
13158  82.3589, 68.7098, 54.0745, 38.3814, 21.5543, 20.5488,
13159  19.6777, 18.7438, 17.7423, 16.6685, 15.517, 14.2824,
13160  12.9585, 11.539, 10.7198, 10.1308, 9.49928, 8.82209,
13161  8.09596, 7.36987, 6.94957, 6.4989, 6.01566, 5.52734,
13162  5.22235, 4.89532, 4.54465, 4.22495, 3.88242, 3.58314,
13163  3.35602, 3.11601, 2.86944, 2.64384, 2.47205, 2.30525,
13164  2.13242, 1.93941, 1.7954, 1.64607, 1.50371, 1.37862,
13165  1.28715, 1.19436, 1.1044, 1.01839, 0.922692, 0.827253,
13166  0.776509, 0.720405, 0.644994, 0.588654, 0.532473, 0.485276,
13167  0.445902, 0.408766, 0.366891, 0.328496, 0.296913, 0.264526,
13168  0.236282, 0.212255, 0.188496, 0.164789, 0.144344, 0.134817,
13169  0.139452, 0.26641, 0.423804, 0.0, 0.0, 0.0,
13170  241.952, 240.05, 238.009, 235.822, 233.476, 230.96,
13171  228.263, 225.371, 222.27, 218.945, 215.379, 211.556,
13172  207.457, 203.061, 198.348, 193.294, 187.874, 182.064,
13173  175.833, 169.152, 161.988, 154.306, 146.069, 137.237,
13174  127.767, 117.613, 106.724, 95.0487, 82.5296, 69.1058,
13175  54.7118, 39.2777, 22.7281, 20.4545, 19.5934, 18.67,
13176  17.6799, 16.6183, 15.4799, 14.2593, 12.9505, 11.547,
13177  10.6622, 10.0784, 9.45249, 8.7813, 8.06161, 7.31316,
13178  6.93396, 6.52736, 6.09138, 5.63005, 5.26803, 4.87985,
13179  4.46361, 4.18974, 3.91218, 3.63166, 3.36363, 3.09156,
13180  2.8747, 2.65704, 2.46208, 2.28501, 2.11955, 1.97081,
13181  1.80602, 1.66873, 1.55811, 1.42438, 1.28896, 1.19115,
13182  1.09759, 1.01612, 0.933735, 0.856005, 0.786432, 0.71629,
13183  0.653893, 0.597495, 0.542041, 0.495364, 0.446191, 0.412987,
13184  0.367137, 0.332345, 0.302, 0.270078, 0.242415, 0.216665,
13185  0.191358, 0.166084, 0.147765, 0.132855, 0.136173, 0.233171,
13186  0.472975, 0.0, 0.0, 0.0, 241.771, 239.884,
13187  237.861, 235.691, 233.365, 230.871, 228.197, 225.329,
13188  222.254, 218.957, 215.421, 211.63, 207.566, 203.207,
13189  198.533, 193.522, 188.148, 182.386, 176.208, 169.583,
13190  162.48, 154.863, 146.696, 137.938, 128.547, 118.478,
13191  107.682, 96.1047, 83.691, 70.3803, 56.1077, 40.8035,
13192  24.3935, 20.8648, 20.0053, 19.0836, 18.0953, 17.0356,
13193  15.8993, 14.6809, 13.3745, 11.9736, 11.0073, 10.4072,
13194  9.76372, 9.07373, 8.33388, 7.54057, 7.10968, 6.65822,
13195  6.17413, 5.65506, 5.31822, 4.96448, 4.58518, 4.26884,
13196  3.9475, 3.63352, 3.38107, 3.12179, 2.9533, 2.75959,
13197  2.50064, 2.29836, 2.14853, 2.00095, 1.83752, 1.6801,
13198  1.55423, 1.44985, 1.32747, 1.22236, 1.1028, 1.04607,
13199  0.94083, 0.867082, 0.784451, 0.730439, 0.664939, 0.607796,
13200  0.554169, 0.501959, 0.454908, 0.412111, 0.377642, 0.339222,
13201  0.309948, 0.275908, 0.247175, 0.219787, 0.190896, 0.168279,
13202  0.146575, 0.130419, 0.135544, 0.202534, 0.462383, 0.0,
13203  0.0, 0.0, 243.416, 241.531, 239.511, 237.345,
13204  235.022, 232.531, 229.861, 226.997, 223.926, 220.634,
13205  217.103, 213.318, 209.259, 204.906, 200.239, 195.235,
13206  189.869, 184.115, 177.945, 171.33, 164.237, 156.63,
13207  148.475, 139.729, 130.352, 120.297, 109.516, 97.955,
13208  85.5589, 72.2669, 58.0144, 42.7319, 26.3449, 21.5282,
13209  20.6333, 19.6737, 18.6448, 17.5415, 16.3585, 15.0899,
13210  13.7297, 12.2713, 11.2064, 10.6183, 9.98761, 9.3114,
13211  8.58631, 7.80882, 7.29393, 6.77886, 6.22656, 5.63435,
13212  5.29806, 4.97523, 4.62907, 4.30797, 3.97981, 3.65476,
13213  3.42017, 3.16917, 2.92743, 2.68006, 2.49585, 2.31654,
13214  2.14613, 1.99159, 1.85405, 1.71404, 1.56155, 1.44399,
13215  1.32003, 1.23224, 1.10799, 1.02369, 0.949258, 0.856406,
13216  0.789029, 0.733418, 0.66474, 0.617611, 0.572265, 0.518112,
13217  0.467396, 0.419388, 0.379515, 0.34759, 0.310748, 0.274198,
13218  0.249786, 0.220345, 0.195292, 0.172538, 0.147784, 0.132318,
13219  0.133288, 0.188719, 0.479428, 0.0, 0.0, 0.0,
13220  244.691, 242.807, 240.787, 238.62, 236.297, 233.807,
13221  231.136, 228.272, 225.201, 221.909, 218.378, 214.592,
13222  210.533, 206.18, 201.513, 196.508, 191.142, 185.388,
13223  179.218, 172.602, 165.508, 157.902, 149.745, 141.0,
13224  131.622, 121.566, 110.784, 99.2231, 86.8263, 73.5336,
13225  59.2803, 43.997, 27.6092, 21.5337, 20.6477, 19.6977,
13226  18.679, 17.5867, 16.4155, 15.1597, 13.8131, 12.3692,
13227  11.236, 10.6496, 10.0209, 9.34666, 8.62374, 7.84858,
13228  7.32362, 6.8292, 6.29904, 5.73058, 5.34223, 4.978,
13229  4.58744, 4.26113, 3.95509, 3.63919, 3.39407, 3.13123,
13230  2.92962, 2.7223, 2.56948, 2.37431, 2.11349, 1.9899,
13231  1.84403, 1.70084, 1.63087, 1.46766, 1.34824, 1.25545,
13232  1.13458, 1.03672, 0.946625, 0.887513, 0.797066, 0.747244,
13233  0.673804, 0.622884, 0.573515, 0.515407, 0.46249, 0.424974,
13234  0.381651, 0.347998, 0.314707, 0.282407, 0.253858, 0.225505,
13235  0.201622, 0.173372, 0.152062, 0.13379, 0.127543, 0.169037,
13236  0.458958, 0.0, 0.0, 0.0, 246.895, 245.005,
13237  242.98, 240.807, 238.478, 235.981, 233.303, 230.431,
13238  227.352, 224.051, 220.511, 216.715, 212.645, 208.28,
13239  203.601, 198.583, 193.202, 187.433, 181.246, 174.613,
13240  167.5, 159.873, 151.695, 142.926, 133.523, 123.441,
13241  112.63, 101.038, 88.608, 75.2799, 60.9885, 45.6644,
13242  29.2328, 21.8612, 20.9527, 19.9784, 18.9338, 17.8137,
13243  16.6127, 15.3248, 13.9439, 12.4632, 11.2236, 10.6269,
13244  9.98709, 9.30104, 8.56542, 7.77663, 7.27182, 6.85067,
13245  6.39909, 5.91487, 5.50591, 5.10788, 4.68109, 4.34373,
13246  4.06176, 3.7619, 3.49737, 3.21373, 2.98861, 2.75974,
13247  2.53941, 2.34384, 2.22664, 2.03786, 1.88914, 1.78866,
13248  1.60448, 1.47989, 1.36018, 1.24827, 1.15067, 1.07105,
13249  0.969302, 0.889164, 0.808367, 0.751142, 0.690708, 0.632024,
13250  0.565638, 0.522018, 0.47153, 0.431409, 0.390703, 0.354574,
13251  0.319031, 0.277876, 0.253071, 0.221188, 0.203909, 0.178722,
13252  0.151161, 0.134376, 0.127086, 0.159165, 0.416984, 0.0,
13253  0.0, 0.0, 245.768, 243.896, 241.888, 239.736,
13254  237.428, 234.953, 232.299, 229.453, 226.402, 223.13,
13255  219.622, 215.861, 211.827, 207.502, 202.864, 197.892,
13256  192.56, 186.842, 180.712, 174.138, 167.089, 159.531,
13257  151.427, 142.737, 133.419, 123.428, 112.714, 101.226,
13258  88.9087, 75.7007, 61.5382, 46.3522, 30.0688, 21.5262,
13259  20.6608, 19.7329, 18.738, 17.6712, 16.5272, 15.3006,
13260  13.9854, 12.5751, 11.3214, 10.7636, 10.1655, 9.52416,
13261  8.8365, 8.09914, 7.55674, 7.1016, 6.61356, 6.09026,
13262  5.65564, 5.25641, 4.82832, 4.45376, 4.12853, 3.77981,
13263  3.5106, 3.2256, 2.99788, 2.77496, 2.60909, 2.43401,
13264  2.22802, 2.06565, 1.91813, 1.76794, 1.60384, 1.48018,
13265  1.4032, 1.27332, 1.1612, 1.07318, 0.982756, 0.904997,
13266  0.81581, 0.752615, 0.697025, 0.63519, 0.592082, 0.536092,
13267  0.48791, 0.440294, 0.390992, 0.356434, 0.318445, 0.28993,
13268  0.25811, 0.229768, 0.202529, 0.178284, 0.15607, 0.138979,
13269  0.127708, 0.147405, 0.373027, 0.0, 0.0, 0.0,
13270  243.467, 241.626, 239.652, 237.535, 235.266, 232.832,
13271  230.223, 227.425, 224.425, 221.208, 217.759, 214.06,
13272  210.094, 205.841, 201.281, 196.392, 191.149, 185.527,
13273  179.499, 173.036, 166.105, 158.674, 150.705, 142.161,
13274  132.999, 123.175, 112.641, 101.345, 89.2337, 76.2469,
13275  62.3215, 47.3898, 31.3791, 21.7304, 20.8498, 19.9057,
13276  18.8933, 17.8077, 16.6437, 15.3956, 14.0573, 12.6223,
13277  11.2703, 10.7112, 10.1118, 9.46897, 8.77972, 8.04067,
13278  7.46716, 7.00667, 6.5129, 5.98344, 5.5485, 5.17892,
13279  4.78264, 4.41342, 4.08571, 3.73432, 3.51594, 3.30169,
13280  3.07581, 2.8352, 2.63359, 2.43193, 2.22849, 2.08861,
13281  1.94896, 1.7382, 1.63096, 1.49472, 1.38549, 1.26006,
13282  1.16384, 1.08542, 0.997284, 0.915056, 0.836528, 0.756509,
13283  0.712573, 0.632286, 0.58637, 0.543105, 0.488753, 0.443909,
13284  0.396294, 0.365042, 0.323618, 0.289503, 0.262922, 0.22968,
13285  0.210367, 0.184669, 0.160914, 0.135988, 0.125746, 0.144335,
13286  0.333236, 0.261286, 0.0, 0.0, 244.443, 242.605,
13287  240.635, 238.522, 236.257, 233.828, 231.223, 228.43,
13288  225.436, 222.225, 218.782, 215.09, 211.131, 206.886,
13289  202.334, 197.454, 192.221, 186.609, 180.592, 174.14,
13290  167.222, 159.804, 151.85, 143.321, 134.176, 124.37,
13291  113.855, 102.581, 90.491, 77.5279, 63.6279, 48.7234,
13292  32.7418, 21.8777, 20.995, 20.0484, 19.0334, 17.9451,
13293  16.7781, 15.5268, 14.1851, 12.7464, 11.3133, 10.7598,
13294  10.1663, 9.52998, 8.84764, 8.11599, 7.51917, 7.05881,
13295  6.56518, 6.03588, 5.60107, 5.26596, 4.90663, 4.54649,
13296  4.20224, 3.83312, 3.56093, 3.29779, 3.06209, 2.83631,
13297  2.64036, 2.44982, 2.28898, 2.11445, 1.94254, 1.81429,
13298  1.63401, 1.53522, 1.39404, 1.29689, 1.16529, 1.09118,
13299  1.01449, 0.917688, 0.844614, 0.788593, 0.704341, 0.642937,
13300  0.589951, 0.54274, 0.492958, 0.446725, 0.407059, 0.35812,
13301  0.330523, 0.301735, 0.267169, 0.236246, 0.208216, 0.187092,
13302  0.159637, 0.141678, 0.124184, 0.136655, 0.286126, 0.305243,
13303  0.0, 0.0};
13304 
13306 const std::initializer_list<double> BREMS_PIPI0_PIPI0_DIFF_SIG_THETA = {
13307  0.000281175, 0.000282942, 0.000292284, 0.000307005, 0.000326019,
13308  0.000349885, 0.000380151, 0.000413162, 0.000450397, 0.000492512,
13309  0.000534387, 0.000578908, 0.000624565, 0.000671161, 0.000716273,
13310  0.000763501, 0.000809124, 0.000852501, 0.000894689, 0.000934695,
13311  0.000970904, 0.00100455, 0.00103552, 0.0010626, 0.0010877,
13312  0.00110873, 0.00112682, 0.00113864, 0.00115056, 0.00116169,
13313  0.00116489, 0.00116437, 0.00116206, 0.00116215, 0.00115501,
13314  0.00114705, 0.00113525, 0.00112142, 0.00110441, 0.001087,
13315  0.0010674, 0.00104737, 0.00102697, 0.00100186, 0.000981661,
13316  0.000955782, 0.000931134, 0.000904237, 0.000877744, 0.000851602,
13317  0.000825204, 0.000798085, 0.000771631, 0.000743597, 0.000718477,
13318  0.000691682, 0.000666982, 0.000643085, 0.000617923, 0.000596375,
13319  0.000572239, 0.000550535, 0.000528499, 0.00050924, 0.000489751,
13320  0.00047265, 0.000454359, 0.000438382, 0.000422645, 0.000409315,
13321  0.000396755, 0.000385484, 0.000375535, 0.000367554, 0.00035907,
13322  0.000353063, 0.000349019, 0.000344954, 0.000343442, 0.000343484,
13323  0.000470575, 0.000477584, 0.000496874, 0.00052768, 0.000569509,
13324  0.000623475, 0.000685231, 0.000757309, 0.000837085, 0.000919645,
13325  0.00101109, 0.0011018, 0.00119436, 0.00128837, 0.00138089,
13326  0.00147213, 0.00156207, 0.00164531, 0.00172388, 0.00179898,
13327  0.0018643, 0.00192701, 0.00198297, 0.00202528, 0.00207249,
13328  0.00210668, 0.00213455, 0.00215735, 0.0021752, 0.0021717,
13329  0.0021793, 0.00217609, 0.00216974, 0.002159, 0.00214022,
13330  0.00211683, 0.00209189, 0.00206145, 0.00202684, 0.00199939,
13331  0.00195933, 0.00192336, 0.00187566, 0.00183127, 0.00178797,
13332  0.00174409, 0.00169254, 0.00164462, 0.00159875, 0.00155089,
13333  0.00149946, 0.00145252, 0.00140524, 0.00135585, 0.00131206,
13334  0.00126573, 0.00121672, 0.0011736, 0.00113144, 0.00108777,
13335  0.00105031, 0.00100886, 0.000975739, 0.000936545, 0.000903097,
13336  0.000870545, 0.000842054, 0.000812945, 0.000788267, 0.000761762,
13337  0.000741431, 0.000721695, 0.000704395, 0.000688194, 0.000674455,
13338  0.0006648, 0.00065759, 0.000652114, 0.000646978, 0.000646082,
13339  0.000679721, 0.000692174, 0.000725081, 0.000780873, 0.000860814,
13340  0.000954714, 0.00107013, 0.00120184, 0.00133965, 0.00149,
13341  0.00164264, 0.00180156, 0.00196564, 0.00212912, 0.0022805,
13342  0.00243988, 0.00258417, 0.00272249, 0.00284653, 0.00296457,
13343  0.00306841, 0.00316035, 0.00324282, 0.00331497, 0.00337777,
13344  0.00342514, 0.00345407, 0.00348034, 0.00350049, 0.0035058,
13345  0.00350295, 0.00349789, 0.00347741, 0.00346246, 0.00341302,
13346  0.00336906, 0.00333344, 0.00327908, 0.00322578, 0.00316222,
13347  0.00310338, 0.00303092, 0.00296705, 0.00289563, 0.00282577,
13348  0.00275057, 0.00267623, 0.00260159, 0.0025234, 0.00245478,
13349  0.00236986, 0.00229543, 0.00222251, 0.00214816, 0.00207542,
13350  0.00200727, 0.00193553, 0.00186572, 0.00179493, 0.00173691,
13351  0.00167243, 0.00161538, 0.00155408, 0.00150227, 0.00144856,
13352  0.00139701, 0.00134923, 0.00130692, 0.00126843, 0.00123293,
13353  0.00119696, 0.00116903, 0.00114082, 0.00111649, 0.00109857,
13354  0.00108053, 0.00106863, 0.00105736, 0.00105456, 0.00104972,
13355  0.0008974, 0.000916625, 0.000973219, 0.00106757, 0.00119542,
13356  0.0013533, 0.00153748, 0.00174319, 0.00196979, 0.00221199,
13357  0.0024604, 0.00270858, 0.00296023, 0.00320134, 0.00345691,
13358  0.0036724, 0.00390414, 0.00410265, 0.00428117, 0.00446431,
13359  0.00460292, 0.00473695, 0.0048463, 0.00494201, 0.00502044,
13360  0.00508965, 0.00512942, 0.00514837, 0.00515287, 0.00516599,
13361  0.00513979, 0.00509621, 0.0050855, 0.00503013, 0.00498144,
13362  0.00492077, 0.00483627, 0.00476375, 0.00468413, 0.00460559,
13363  0.00450351, 0.00441082, 0.00429486, 0.00420625, 0.00409532,
13364  0.00399901, 0.00388542, 0.00377756, 0.00367729, 0.00355431,
13365  0.00345243, 0.00334892, 0.00323806, 0.00314239, 0.00302942,
13366  0.00292492, 0.00282721, 0.00272829, 0.00263839, 0.00254997,
13367  0.00245883, 0.00236649, 0.00228996, 0.00220824, 0.00213341,
13368  0.0020656, 0.00200044, 0.00193941, 0.0018849, 0.0018276,
13369  0.00178371, 0.00174283, 0.00169835, 0.00166649, 0.0016381,
13370  0.00161626, 0.00160285, 0.0015886, 0.00157522, 0.00157374,
13371  0.00112122, 0.00115069, 0.00123927, 0.00138358, 0.00157417,
13372  0.00182082, 0.00209596, 0.00241082, 0.00275467, 0.0031092,
13373  0.00346546, 0.00385213, 0.0042093, 0.00456471, 0.00489953,
13374  0.00524332, 0.00553688, 0.00582328, 0.00606575, 0.00629156,
13375  0.00650055, 0.00665296, 0.00680663, 0.0069111, 0.00700064,
13376  0.00707209, 0.00713672, 0.00715609, 0.00716277, 0.00714809,
13377  0.00709665, 0.00707163, 0.00701852, 0.00694119, 0.00684796,
13378  0.00676385, 0.006658, 0.00654921, 0.00644549, 0.00630384,
13379  0.00617919, 0.00603483, 0.00591777, 0.00578046, 0.00562653,
13380  0.00548037, 0.00533655, 0.00517941, 0.00503566, 0.00489099,
13381  0.00473969, 0.00460307, 0.00446885, 0.00432266, 0.00418554,
13382  0.00403062, 0.00391428, 0.00378143, 0.00366614, 0.00353009,
13383  0.0034046, 0.0033044, 0.00319353, 0.00308696, 0.00298707,
13384  0.0028876, 0.00280687, 0.00271978, 0.00264811, 0.00257211,
13385  0.00250382, 0.00245186, 0.00240142, 0.00235232, 0.00231529,
13386  0.00228496, 0.00226197, 0.00223858, 0.00224332, 0.00222402,
13387  0.00134456, 0.00138926, 0.0015163, 0.00172697, 0.00200525,
13388  0.00236018, 0.00276703, 0.00321991, 0.00369083, 0.00419973,
13389  0.00471418, 0.00523779, 0.00572742, 0.0062243, 0.00668167,
13390  0.00711796, 0.0075321, 0.0078572, 0.00822866, 0.00852646,
13391  0.00875509, 0.00897526, 0.00912908, 0.0092967, 0.00939092,
13392  0.009452, 0.00950157, 0.00950737, 0.00950832, 0.00946607,
13393  0.00941891, 0.00934844, 0.00926246, 0.00915287, 0.00904237,
13394  0.00890186, 0.00877572, 0.00861344, 0.00846095, 0.00828605,
13395  0.008119, 0.00796656, 0.00778883, 0.00761564, 0.0074264,
13396  0.00723369, 0.00701863, 0.00685368, 0.00665128, 0.0064763,
13397  0.00627867, 0.00608775, 0.00590107, 0.00571419, 0.00554817,
13398  0.00536816, 0.00520095, 0.00504428, 0.00487578, 0.00470896,
13399  0.00456376, 0.00440735, 0.00426863, 0.00413494, 0.00401514,
13400  0.00388355, 0.00377101, 0.00366322, 0.00356389, 0.00347214,
13401  0.00339049, 0.00331353, 0.00324441, 0.00318292, 0.0031396,
13402  0.00309176, 0.00306652, 0.00304636, 0.00303757, 0.00302998,
13403  0.00156899, 0.00163137, 0.00180945, 0.00210625, 0.00249799,
13404  0.0029924, 0.00355494, 0.00417075, 0.00483277, 0.00552056,
13405  0.00621763, 0.00691553, 0.00757705, 0.00822081, 0.00882281,
13406  0.0093884, 0.00989249, 0.0103561, 0.0107464, 0.011085,
13407  0.0114162, 0.0116787, 0.0118578, 0.0120019, 0.0121148,
13408  0.0121773, 0.012227, 0.0122337, 0.0121744, 0.0121471,
13409  0.0120371, 0.0119476, 0.0118131, 0.0117018, 0.0115321,
13410  0.0113659, 0.0111856, 0.0109769, 0.0107915, 0.0105637,
13411  0.0103817, 0.0101626, 0.00989493, 0.00969981, 0.00947816,
13412  0.00921769, 0.00899261, 0.00876207, 0.00852143, 0.00827564,
13413  0.00806592, 0.00780626, 0.00757766, 0.00734728, 0.00712231,
13414  0.00692437, 0.00670211, 0.00650158, 0.00630128, 0.00610079,
13415  0.00591765, 0.00571625, 0.00554607, 0.00537887, 0.00521628,
13416  0.00505911, 0.00491189, 0.00477832, 0.0046616, 0.00454637,
13417  0.00445581, 0.00435114, 0.00427084, 0.00419572, 0.00413578,
13418  0.00407462, 0.00404614, 0.00402204, 0.00400175, 0.00397811,
13419  0.00178781, 0.00186719, 0.00211708, 0.00251877, 0.00306102,
13420  0.00371397, 0.00446927, 0.00531557, 0.00618506, 0.00711285,
13421  0.00801784, 0.00890148, 0.00980875, 0.0105687, 0.011314,
13422  0.0120184, 0.01268, 0.0132378, 0.013696, 0.0141205,
13423  0.0144585, 0.0147307, 0.0149395, 0.0151637, 0.0152372,
13424  0.0153141, 0.0153069, 0.0153083, 0.0152711, 0.0151938,
13425  0.015021, 0.0148987, 0.014712, 0.0145562, 0.0143121,
13426  0.0141356, 0.0139036, 0.0136635, 0.0134332, 0.013155,
13427  0.0129305, 0.0126178, 0.0123488, 0.0120567, 0.0118067,
13428  0.0114907, 0.0111941, 0.0109375, 0.0106632, 0.0103524,
13429  0.0100746, 0.00978416, 0.00950855, 0.00924751, 0.00896912,
13430  0.00869622, 0.00845989, 0.00818626, 0.00793151, 0.0077033,
13431  0.00744916, 0.00726034, 0.00701951, 0.00683042, 0.00662955,
13432  0.00644382, 0.00626575, 0.00609801, 0.00594709, 0.00581127,
13433  0.00568029, 0.00557231, 0.00546394, 0.00537704, 0.00530097,
13434  0.00523367, 0.00519074, 0.00515424, 0.00511859, 0.00512042,
13435  0.00199812, 0.00211416, 0.00243788, 0.00296925, 0.00369798,
13436  0.00456433, 0.00556945, 0.00664248, 0.00779646, 0.00894517,
13437  0.0101197, 0.0112415, 0.0123328, 0.0133322, 0.0142686,
13438  0.0151241, 0.0158588, 0.016526, 0.0170756, 0.0176062,
13439  0.0179386, 0.0182429, 0.018435, 0.0186311, 0.0187346,
13440  0.0187561, 0.0187895, 0.0187254, 0.0186861, 0.0185346,
13441  0.018383, 0.0182455, 0.0179743, 0.017738, 0.0175093,
13442  0.017206, 0.0169435, 0.0166139, 0.0163254, 0.0160668,
13443  0.0156989, 0.0153912, 0.0150836, 0.0147077, 0.0144175,
13444  0.0140796, 0.0136797, 0.0133876, 0.0130374, 0.012708,
13445  0.0123823, 0.0119977, 0.0117174, 0.0113744, 0.0110518,
13446  0.0107323, 0.0104169, 0.0101079, 0.00981531, 0.00957131,
13447  0.00927439, 0.00902468, 0.00874991, 0.0085315, 0.00827434,
13448  0.0080297, 0.00783626, 0.00763196, 0.00745576, 0.00726587,
13449  0.00711381, 0.00699087, 0.00686996, 0.0067489, 0.00666391,
13450  0.00659946, 0.0065232, 0.00648999, 0.00646277, 0.00645728,
13451  0.00221192, 0.00235719, 0.00279014, 0.00347403, 0.00441116,
13452  0.00553277, 0.00681666, 0.00819404, 0.00964227, 0.0111034,
13453  0.0125394, 0.0139692, 0.0152848, 0.0165075, 0.0176321,
13454  0.0186631, 0.0194563, 0.0202608, 0.0209327, 0.0214132,
13455  0.0218263, 0.0221543, 0.0224124, 0.0225717, 0.0226825,
13456  0.0226517, 0.0226536, 0.0225664, 0.0224088, 0.0223139,
13457  0.0220951, 0.021768, 0.0215611, 0.0212886, 0.0209572,
13458  0.020741, 0.0203448, 0.0199481, 0.0195874, 0.0192482,
13459  0.0188253, 0.0185172, 0.0180687, 0.0176288, 0.0172798,
13460  0.0168878, 0.0165285, 0.0161393, 0.0157326, 0.0153542,
13461  0.014969, 0.0145463, 0.014197, 0.0137928, 0.0134033,
13462  0.0130362, 0.0127035, 0.0122966, 0.012022, 0.011642,
13463  0.0112995, 0.0109977, 0.0106863, 0.0104056, 0.0101099,
13464  0.00988768, 0.00958024, 0.00938459, 0.00916412, 0.00898513,
13465  0.00879105, 0.0086338, 0.00846008, 0.00833623, 0.00825211,
13466  0.00814779, 0.00808144, 0.00803904, 0.00799889, 0.00798837,
13467  0.00242587, 0.00261211, 0.00315269, 0.00404511, 0.00524526,
13468  0.00666234, 0.00827412, 0.0100108, 0.0118244, 0.0136804,
13469  0.0154198, 0.017071, 0.0186945, 0.0201253, 0.0214441,
13470  0.022578, 0.0236231, 0.0244889, 0.0251664, 0.0257356,
13471  0.0262329, 0.026539, 0.026843, 0.0269354, 0.0269994,
13472  0.0269844, 0.0268975, 0.0266991, 0.0265401, 0.0263498,
13473  0.0260905, 0.0257702, 0.0254611, 0.0250844, 0.0247467,
13474  0.0244022, 0.0239815, 0.0235785, 0.0231931, 0.0226866,
13475  0.0222663, 0.0218926, 0.0214699, 0.020981, 0.0205496,
13476  0.0200583, 0.0196015, 0.0191309, 0.0186911, 0.0182183,
13477  0.0178429, 0.0173577, 0.0169159, 0.0164452, 0.0160295,
13478  0.0156183, 0.0152459, 0.0148067, 0.0143903, 0.0139846,
13479  0.0135967, 0.0132741, 0.0129133, 0.0125776, 0.0122599,
13480  0.01194, 0.0116747, 0.0113768, 0.0111308, 0.0109309,
13481  0.0107272, 0.0105136, 0.0103306, 0.0101756, 0.010071,
13482  0.00993058, 0.00987151, 0.0097996, 0.0097617, 0.00979346,
13483  0.00263009, 0.0028622, 0.00356893, 0.00467769, 0.00617439,
13484  0.00798265, 0.0099832, 0.0121502, 0.0143804, 0.0165341,
13485  0.0187237, 0.0207792, 0.0226045, 0.0242622, 0.025808,
13486  0.0271191, 0.0282477, 0.0291389, 0.0300044, 0.030584,
13487  0.0310411, 0.0314241, 0.0315679, 0.0316474, 0.0316784,
13488  0.0317005, 0.0315049, 0.0313034, 0.0311216, 0.0308655,
13489  0.0304638, 0.0301431, 0.0297925, 0.0292763, 0.0288125,
13490  0.0284421, 0.0279809, 0.0275845, 0.0271157, 0.0266173,
13491  0.0260897, 0.0255624, 0.0250359, 0.0245975, 0.0240374,
13492  0.0235386, 0.0229805, 0.0225119, 0.0219679, 0.0214712,
13493  0.0209536, 0.0204638, 0.0199594, 0.0194598, 0.0189884,
13494  0.0184332, 0.018002, 0.0175219, 0.0170874, 0.0166857,
13495  0.0162457, 0.0158112, 0.0153999, 0.0150218, 0.0146556,
13496  0.014322, 0.0139525, 0.0137053, 0.0133467, 0.0131047,
13497  0.0128445, 0.0126297, 0.0124089, 0.0122658, 0.0121122,
13498  0.012001, 0.0118978, 0.0118508, 0.0117776, 0.0117714,
13499  0.00284277, 0.00314524, 0.00401178, 0.00543466, 0.0072918,
13500  0.00948735, 0.0119316, 0.0146025, 0.0172657, 0.0199165,
13501  0.0224246, 0.0248251, 0.0270897, 0.0289343, 0.0307311,
13502  0.0321621, 0.0334516, 0.0343798, 0.0352632, 0.0358663,
13503  0.0364028, 0.0366522, 0.0368634, 0.0368913, 0.0368755,
13504  0.0367066, 0.0366246, 0.0363343, 0.0360126, 0.0355286,
13505  0.0352377, 0.034841, 0.0344518, 0.033962, 0.0333764,
13506  0.0329027, 0.0323829, 0.0318355, 0.0312073, 0.0308333,
13507  0.0302326, 0.029643, 0.028995, 0.0285534, 0.027928,
13508  0.0272921, 0.026695, 0.0261719, 0.0255969, 0.0249833,
13509  0.0244913, 0.023846, 0.0233151, 0.0227614, 0.0221907,
13510  0.0216336, 0.0211183, 0.0206163, 0.0200697, 0.019595,
13511  0.019127, 0.0186128, 0.0181676, 0.0178026, 0.0172863,
13512  0.0169013, 0.0165726, 0.0162145, 0.0158657, 0.0155222,
13513  0.015291, 0.0150751, 0.0148185, 0.0146297, 0.0144596,
13514  0.014282, 0.0142272, 0.014143, 0.0140959, 0.0140906,
13515  0.00307962, 0.00344568, 0.00452566, 0.00624317, 0.00853695,
13516  0.0112412, 0.0142423, 0.0174172, 0.0205985, 0.0237528,
13517  0.026764, 0.0295124, 0.0320081, 0.034309, 0.0360973,
13518  0.0377897, 0.0391062, 0.0402047, 0.0410337, 0.0417467,
13519  0.042128, 0.0424052, 0.0425658, 0.0426039, 0.0424937,
13520  0.0423301, 0.0420007, 0.0416895, 0.0413555, 0.0407916,
13521  0.0403298, 0.0398284, 0.0394425, 0.0388111, 0.0382429,
13522  0.0377941, 0.0370859, 0.0364752, 0.0358767, 0.0353229,
13523  0.0346413, 0.0339801, 0.0333596, 0.0326842, 0.0320896,
13524  0.0314757, 0.0307595, 0.0301751, 0.0295433, 0.0288954,
13525  0.0282863, 0.0276691, 0.0270139, 0.0263848, 0.0257935,
13526  0.0251802, 0.0245554, 0.0240123, 0.0234419, 0.0229225,
13527  0.0223177, 0.0218436, 0.0213077, 0.0207758, 0.0202982,
13528  0.0199727, 0.0194349, 0.0190873, 0.0186829, 0.0183164,
13529  0.0180922, 0.0177469, 0.0174889, 0.017261, 0.0171086,
13530  0.0169307, 0.0168616, 0.0167323, 0.0166792, 0.0166038,
13531  0.00333355, 0.00377064, 0.0051004, 0.00721691, 0.00998777,
13532  0.013271, 0.0169269, 0.0206078, 0.0244431, 0.0281854,
13533  0.0315364, 0.034884, 0.0376755, 0.0400755, 0.0422714,
13534  0.0440529, 0.0454359, 0.0466187, 0.047501, 0.048089,
13535  0.0484421, 0.0486811, 0.0488729, 0.0486579, 0.0484874,
13536  0.0482514, 0.0478209, 0.047432, 0.0469931, 0.0464654,
13537  0.0458858, 0.0452585, 0.0447221, 0.0440292, 0.0434119,
13538  0.0428518, 0.0421147, 0.0414825, 0.0407942, 0.0400271,
13539  0.039441, 0.0387203, 0.0379561, 0.0373013, 0.0366975,
13540  0.0359329, 0.0352546, 0.034534, 0.0338676, 0.033109,
13541  0.0324858, 0.0317584, 0.0310908, 0.0303575, 0.0297237,
13542  0.0290134, 0.0282982, 0.0277714, 0.0271353, 0.0264849,
13543  0.0259496, 0.0252805, 0.0247338, 0.0242281, 0.0237112,
13544  0.0232194, 0.0227565, 0.0222991, 0.0219501, 0.021394,
13545  0.0211357, 0.0207623, 0.0205737, 0.0202672, 0.0199783,
13546  0.0198789, 0.0197191, 0.0196262, 0.0195839, 0.0195275,
13547  0.00359652, 0.00414272, 0.00576426, 0.00832704, 0.0116502,
13548  0.0155802, 0.0198848, 0.0243842, 0.0288072, 0.0330831,
13549  0.0370762, 0.0407706, 0.0439175, 0.0465683, 0.0490643,
13550  0.0508591, 0.0522669, 0.053542, 0.054488, 0.0550546,
13551  0.0553658, 0.0554855, 0.0555175, 0.0554047, 0.0550764,
13552  0.0546188, 0.0542104, 0.0538364, 0.0530501, 0.0523973,
13553  0.0519112, 0.0512374, 0.0503917, 0.049729, 0.0490083,
13554  0.048203, 0.0477366, 0.0469008, 0.046142, 0.0453901,
13555  0.0446828, 0.0439145, 0.0431896, 0.042337, 0.0417391,
13556  0.0407988, 0.0400469, 0.0393682, 0.0384225, 0.0377283,
13557  0.0370612, 0.0362269, 0.0355481, 0.0346529, 0.0340451,
13558  0.0333289, 0.0325921, 0.0318925, 0.0312498, 0.0304904,
13559  0.0299164, 0.029249, 0.0285593, 0.0278922, 0.0274093,
13560  0.026775, 0.026295, 0.0257871, 0.0253469, 0.0249451,
13561  0.0245122, 0.0241567, 0.0238329, 0.0235324, 0.0233526,
13562  0.0231212, 0.0228997, 0.0228929, 0.0228117, 0.0228139,
13563  0.00391916, 0.00458072, 0.00653045, 0.00960922, 0.0136211,
13564  0.0182648, 0.0234007, 0.0286478, 0.0338458, 0.0387226,
13565  0.0432304, 0.0473168, 0.0510361, 0.0540289, 0.0565147,
13566  0.0586252, 0.0599125, 0.0612604, 0.0620093, 0.0624489,
13567  0.0627665, 0.0629404, 0.0628386, 0.0623437, 0.0619986,
13568  0.0614911, 0.0608581, 0.0604268, 0.0596776, 0.0588898,
13569  0.0581043, 0.0575488, 0.0567023, 0.0558687, 0.0550626,
13570  0.0542547, 0.0536892, 0.0526642, 0.0519169, 0.051001,
13571  0.050182, 0.0492664, 0.0486365, 0.0478449, 0.0470808,
13572  0.0461283, 0.0452254, 0.0444967, 0.0435724, 0.0428003,
13573  0.0419233, 0.0411305, 0.040326, 0.0395016, 0.0387367,
13574  0.0378621, 0.0372749, 0.0363203, 0.0355235, 0.0349581,
13575  0.0342124, 0.0333826, 0.0327205, 0.0320766, 0.0314903,
13576  0.0308709, 0.0303682, 0.0297761, 0.0291857, 0.0287865,
13577  0.0283134, 0.0279294, 0.0276757, 0.0272534, 0.0269558,
13578  0.0267866, 0.0265906, 0.0265328, 0.0264612, 0.0264579,
13579  0.00430428, 0.0050988, 0.00741839, 0.0110605, 0.0159061,
13580  0.0214306, 0.0274315, 0.033508, 0.039523, 0.0452025,
13581  0.0502895, 0.0549258, 0.0588814, 0.0619128, 0.0647764,
13582  0.0668492, 0.0685376, 0.0696456, 0.0703103, 0.0708338,
13583  0.0707632, 0.0707671, 0.0704422, 0.0702767, 0.0695625,
13584  0.0688598, 0.0681944, 0.0674093, 0.0667409, 0.0658253,
13585  0.0649968, 0.0641774, 0.0631799, 0.0622197, 0.0614983,
13586  0.0606713, 0.0597718, 0.0588765, 0.0578206, 0.057055,
13587  0.0561303, 0.0553837, 0.0544854, 0.0537578, 0.0526585,
13588  0.0518582, 0.0508382, 0.0500843, 0.0491315, 0.0482358,
13589  0.0473839, 0.0465039, 0.045646, 0.0448593, 0.0439129,
13590  0.0430069, 0.0422745, 0.0413593, 0.0405201, 0.0396976,
13591  0.0388858, 0.0380543, 0.0374547, 0.0365882, 0.035946,
13592  0.0353124, 0.0346367, 0.0340478, 0.033573, 0.0329542,
13593  0.0324709, 0.0320766, 0.0316528, 0.031438, 0.0309868,
13594  0.030799, 0.0306963, 0.0305259, 0.0303781, 0.0303412,
13595  0.00474457, 0.00569924, 0.00846965, 0.0128639, 0.0184666,
13596  0.025035, 0.0319859, 0.0391283, 0.0460307, 0.0524869,
13597  0.0581592, 0.0633167, 0.0674463, 0.0710218, 0.0738083,
13598  0.0759517, 0.0775135, 0.0787066, 0.0792046, 0.0793727,
13599  0.0795195, 0.0791283, 0.0789815, 0.0782837, 0.0775177,
13600  0.076784, 0.0758334, 0.0751616, 0.0741801, 0.073236,
13601  0.0720909, 0.0714763, 0.0702111, 0.0692918, 0.0684758,
13602  0.0673948, 0.0664678, 0.0656484, 0.0644851, 0.0634799,
13603  0.0627459, 0.0617061, 0.0608059, 0.0599022, 0.0590587,
13604  0.0581058, 0.0570279, 0.0560659, 0.0550623, 0.0542295,
13605  0.0530986, 0.0523333, 0.0513823, 0.0501778, 0.0494891,
13606  0.048587, 0.0476314, 0.0466595, 0.0458671, 0.0449062,
13607  0.0440151, 0.0433863, 0.0425559, 0.0416522, 0.0409307,
13608  0.040228, 0.0395641, 0.0389426, 0.038384, 0.03777,
13609  0.0370343, 0.0367622, 0.036402, 0.0358701, 0.0357029,
13610  0.0354797, 0.0351363, 0.0349479, 0.0348564, 0.0348307,
13611  0.00528846, 0.00642807, 0.00970664, 0.0148724, 0.0215376,
13612  0.0292077, 0.0373657, 0.0454835, 0.0530936, 0.0604943,
13613  0.0669796, 0.0726862, 0.0771261, 0.0810405, 0.083898,
13614  0.0860143, 0.0871875, 0.0883463, 0.0888508, 0.0889564,
13615  0.0890655, 0.0884474, 0.0880344, 0.0869317, 0.0862095,
13616  0.085331, 0.0842999, 0.0830645, 0.0820125, 0.0810409,
13617  0.0800194, 0.0788248, 0.0779241, 0.0766452, 0.0754868,
13618  0.0747688, 0.0735738, 0.0725302, 0.0716582, 0.0705204,
13619  0.0696193, 0.0684026, 0.0674794, 0.0663699, 0.0656168,
13620  0.0643779, 0.0635612, 0.0625713, 0.0615948, 0.0606011,
13621  0.0595876, 0.0584075, 0.0576406, 0.0566039, 0.0555336,
13622  0.0546444, 0.0536781, 0.0527272, 0.0516927, 0.0508824,
13623  0.0498426, 0.0489031, 0.0481035, 0.0471426, 0.0463548,
13624  0.0455533, 0.0448921, 0.0441707, 0.0434794, 0.0429086,
13625  0.042337, 0.0418676, 0.0413155, 0.0409994, 0.040612,
13626  0.0404187, 0.0400442, 0.0399008, 0.0398475, 0.0398566,
13627  0.00597371, 0.0073085, 0.0111318, 0.0172867, 0.0250672,
13628  0.0339996, 0.0433143, 0.0526841, 0.0614983, 0.0697951,
13629  0.0769903, 0.0829581, 0.0877218, 0.0919832, 0.0948644,
13630  0.0968502, 0.0984627, 0.0989657, 0.0994392, 0.0994865,
13631  0.0989729, 0.0985226, 0.0975781, 0.096385, 0.0956041,
13632  0.0943709, 0.0930966, 0.0917884, 0.0905011, 0.0895044,
13633  0.0882563, 0.0872779, 0.0856932, 0.0845745, 0.0835735,
13634  0.082435, 0.0813528, 0.0803279, 0.0789594, 0.0778994,
13635  0.0768439, 0.0757686, 0.0749606, 0.0738205, 0.0727575,
13636  0.07154, 0.0707167, 0.0695202, 0.0685303, 0.0672907,
13637  0.0663626, 0.0653388, 0.064352, 0.0632458, 0.0622785,
13638  0.0612188, 0.0600131, 0.0590736, 0.0580517, 0.0572407,
13639  0.0561345, 0.055354, 0.0541056, 0.0532938, 0.0524072,
13640  0.0515158, 0.0509438, 0.0501854, 0.0493198, 0.0488432,
13641  0.0480146, 0.0476261, 0.0469725, 0.0465092, 0.0462149,
13642  0.0459087, 0.0455842, 0.0456471, 0.0453462, 0.0455121,
13643  0.00676899, 0.00832925, 0.0129152, 0.0200533, 0.0291458,
13644  0.0393605, 0.0502479, 0.0609271, 0.0710378, 0.0799264,
13645  0.0878819, 0.0943054, 0.099896, 0.103812, 0.106907,
13646  0.10868, 0.110331, 0.110845, 0.110947, 0.110333,
13647  0.109908, 0.108806, 0.107786, 0.106491, 0.105516,
13648  0.103946, 0.102559, 0.10109, 0.100063, 0.0985352,
13649  0.0969672, 0.095855, 0.0942695, 0.0931462, 0.092164,
13650  0.0902868, 0.0895974, 0.0882815, 0.0871521, 0.0861466,
13651  0.0849977, 0.083736, 0.0825417, 0.0815446, 0.0804373,
13652  0.0792846, 0.0783135, 0.0771699, 0.0762243, 0.0748165,
13653  0.0738819, 0.0728459, 0.0716772, 0.0703655, 0.0693208,
13654  0.0681856, 0.0671763, 0.0660324, 0.0651287, 0.06401,
13655  0.0630067, 0.0619757, 0.0611025, 0.0599758, 0.0590557,
13656  0.0583384, 0.057323, 0.0563919, 0.0557425, 0.0550504,
13657  0.0543896, 0.0536472, 0.0532835, 0.0525521, 0.0523729,
13658  0.0519226, 0.0519196, 0.051581, 0.0514105, 0.0515001,
13659  0.00777278, 0.00962191, 0.0149637, 0.0233216, 0.0339812,
13660  0.0458793, 0.0581177, 0.070335, 0.0816624, 0.0916793,
13661  0.100289, 0.10728, 0.112968, 0.116828, 0.120374,
13662  0.122029, 0.123153, 0.12328, 0.123219, 0.122763,
13663  0.121746, 0.120365, 0.119248, 0.117595, 0.116155,
13664  0.114654, 0.11271, 0.111493, 0.109401, 0.107921,
13665  0.10644, 0.105043, 0.103788, 0.102245, 0.100725,
13666  0.0994678, 0.0981977, 0.0970675, 0.095866, 0.0948739,
13667  0.0932987, 0.0922436, 0.0910586, 0.0898899, 0.0886338,
13668  0.0879124, 0.0864974, 0.0853565, 0.0840315, 0.0830595,
13669  0.0821784, 0.0807774, 0.0792637, 0.0785457, 0.0774975,
13670  0.0762254, 0.0751155, 0.0740314, 0.072637, 0.0716265,
13671  0.0705245, 0.0693459, 0.0682581, 0.0674417, 0.0663695,
13672  0.0653491, 0.0645232, 0.0635104, 0.0628394, 0.0619044,
13673  0.0611956, 0.0605462, 0.0600055, 0.059633, 0.0589847,
13674  0.0587308, 0.0584204, 0.058245, 0.0581447, 0.0580281,
13675  0.00899192, 0.0111432, 0.0174073, 0.0271555, 0.0394498,
13676  0.0531378, 0.067105, 0.0808762, 0.0936537, 0.104506,
13677  0.113982, 0.121793, 0.127642, 0.131702, 0.134838,
13678  0.136617, 0.137294, 0.137291, 0.136852, 0.135734,
13679  0.134361, 0.132912, 0.131528, 0.128975, 0.127524,
13680  0.125366, 0.123378, 0.12174, 0.120254, 0.118518,
13681  0.116664, 0.115238, 0.113491, 0.111775, 0.110465,
13682  0.108893, 0.107813, 0.106418, 0.105314, 0.103606,
13683  0.102758, 0.101407, 0.100295, 0.0991365, 0.097996,
13684  0.0968651, 0.0955541, 0.0943103, 0.0931473, 0.0916236,
13685  0.0907592, 0.08934, 0.0883154, 0.0868711, 0.0859392,
13686  0.0845035, 0.083259, 0.0822405, 0.0809792, 0.0799367,
13687  0.0786742, 0.077788, 0.0762967, 0.0753278, 0.0741656,
13688  0.0732139, 0.0723213, 0.0716155, 0.0707777, 0.0696552,
13689  0.0689219, 0.0682623, 0.0675832, 0.066962, 0.0666509,
13690  0.0660496, 0.0658372, 0.0657674, 0.0654364, 0.0654681,
13691  0.0104324, 0.0130362, 0.0202818, 0.0315656, 0.0457085,
13692  0.0614972, 0.0776755, 0.0932716, 0.106945, 0.119161,
13693  0.129489, 0.137686, 0.143493, 0.148502, 0.150929,
13694  0.152217, 0.152729, 0.152661, 0.151455, 0.150256,
13695  0.148372, 0.146216, 0.144306, 0.141919, 0.140007,
13696  0.13776, 0.135426, 0.133457, 0.131282, 0.129173,
13697  0.12716, 0.125544, 0.123994, 0.122505, 0.120853,
13698  0.119087, 0.118056, 0.116199, 0.115374, 0.113686,
13699  0.112447, 0.111353, 0.109998, 0.10896, 0.107718,
13700  0.106382, 0.105166, 0.10382, 0.102595, 0.101468,
13701  0.100243, 0.0988276, 0.0979827, 0.0965326, 0.0950733,
13702  0.0940213, 0.0928061, 0.0913853, 0.0900614, 0.0891875,
13703  0.0878613, 0.0864238, 0.0856646, 0.0841695, 0.0832288,
13704  0.0822397, 0.081169, 0.0800015, 0.07924, 0.078344,
13705  0.0773297, 0.0766388, 0.0761518, 0.0753366, 0.0750792,
13706  0.0741935, 0.0741946, 0.0741511, 0.0737405, 0.0737233,
13707  0.0122584, 0.01518, 0.0236776, 0.0368289, 0.0531885,
13708  0.0713783, 0.089072, 0.106931, 0.122798, 0.136158,
13709  0.146914, 0.155376, 0.161462, 0.165652, 0.168404,
13710  0.169941, 0.169054, 0.169097, 0.167262, 0.165726,
13711  0.162923, 0.160576, 0.158295, 0.155528, 0.153329,
13712  0.15019, 0.147799, 0.145628, 0.143582, 0.141254,
13713  0.139088, 0.137235, 0.135325, 0.133596, 0.131778,
13714  0.130497, 0.128684, 0.127189, 0.125535, 0.1248,
13715  0.123011, 0.121804, 0.120732, 0.119476, 0.117917,
13716  0.116747, 0.115852, 0.11444, 0.113125, 0.111738,
13717  0.110807, 0.109392, 0.108496, 0.106796, 0.105473,
13718  0.103792, 0.102659, 0.101614, 0.100142, 0.098934,
13719  0.0977626, 0.0964517, 0.0952178, 0.0937647, 0.0927046,
13720  0.091685, 0.0904713, 0.0893987, 0.0886567, 0.0875109,
13721  0.0867742, 0.0858945, 0.0851907, 0.0846137, 0.0841535,
13722  0.0835301, 0.0831873, 0.0832464, 0.0830077, 0.0828372,
13723  0.0144685, 0.0178273, 0.027824, 0.0428731, 0.0618613,
13724  0.0823648, 0.103253, 0.122552, 0.13983, 0.154763,
13725  0.166118, 0.175004, 0.181629, 0.185425, 0.188208,
13726  0.188574, 0.187742, 0.187095, 0.184391, 0.182828,
13727  0.179493, 0.176302, 0.173335, 0.170148, 0.167361,
13728  0.164239, 0.161024, 0.158903, 0.156244, 0.153807,
13729  0.151884, 0.149129, 0.147926, 0.145391, 0.143683,
13730  0.141855, 0.14075, 0.138946, 0.137418, 0.136158,
13731  0.134479, 0.133358, 0.131797, 0.130907, 0.129628,
13732  0.127941, 0.127053, 0.125843, 0.124099, 0.123162,
13733  0.121543, 0.120669, 0.11889, 0.118051, 0.116394,
13734  0.115019, 0.11366, 0.112625, 0.111083, 0.110075,
13735  0.108536, 0.107663, 0.106233, 0.104443, 0.103191,
13736  0.10253, 0.101155, 0.0998899, 0.098804, 0.0979533,
13737  0.0973058, 0.0959781, 0.0954436, 0.0946276, 0.094255,
13738  0.0939111, 0.0933986, 0.093383, 0.0930692, 0.0931794,
13739  0.0171494, 0.0211423, 0.0326487, 0.0501575, 0.0716784,
13740  0.0952068, 0.118956, 0.140565, 0.159736, 0.175639,
13741  0.188222, 0.19692, 0.203122, 0.207827, 0.209787,
13742  0.210024, 0.20852, 0.205761, 0.203718, 0.200805,
13743  0.196957, 0.192897, 0.189509, 0.186422, 0.18334,
13744  0.17918, 0.17638, 0.173549, 0.170487, 0.16807,
13745  0.165489, 0.163295, 0.160579, 0.158432, 0.157071,
13746  0.154795, 0.153115, 0.151897, 0.149966, 0.148713,
13747  0.147098, 0.145929, 0.144666, 0.14327, 0.142016,
13748  0.140665, 0.139201, 0.138033, 0.136679, 0.135348,
13749  0.134019, 0.133188, 0.131537, 0.130142, 0.128835,
13750  0.127449, 0.125711, 0.124944, 0.122946, 0.121946,
13751  0.120169, 0.11884, 0.117923, 0.116486, 0.114869,
13752  0.113794, 0.112759, 0.111651, 0.110451, 0.109368,
13753  0.108218, 0.107711, 0.106663, 0.105717, 0.106101,
13754  0.105055, 0.104938, 0.104356, 0.10405, 0.104406,
13755  0.0205001, 0.0250843, 0.038405, 0.0588296, 0.0836864,
13756  0.110242, 0.137232, 0.161239, 0.182336, 0.199728,
13757  0.212614, 0.223028, 0.228302, 0.232037, 0.233403,
13758  0.232372, 0.230665, 0.228005, 0.224124, 0.220563,
13759  0.216438, 0.21235, 0.207733, 0.204365, 0.19932,
13760  0.195672, 0.192274, 0.189121, 0.185905, 0.18326,
13761  0.179882, 0.17749, 0.175099, 0.172817, 0.170633,
13762  0.168069, 0.167556, 0.165459, 0.163928, 0.162153,
13763  0.160786, 0.159414, 0.157759, 0.156712, 0.155378,
13764  0.15441, 0.152694, 0.151464, 0.150369, 0.14926,
13765  0.147506, 0.146394, 0.144641, 0.143325, 0.141929,
13766  0.140732, 0.13911, 0.137965, 0.136652, 0.1353,
13767  0.133449, 0.132157, 0.130797, 0.129442, 0.128221,
13768  0.127278, 0.125771, 0.124272, 0.123265, 0.122759,
13769  0.121222, 0.119961, 0.119198, 0.118953, 0.118057,
13770  0.117367, 0.11697, 0.11709, 0.116852, 0.116615,
13771  0.0243121, 0.02978, 0.0450549, 0.0686581, 0.0970351,
13772  0.127466, 0.157366, 0.184683, 0.207972, 0.226143,
13773  0.240924, 0.250525, 0.256564, 0.259908, 0.259432,
13774  0.258714, 0.255572, 0.252429, 0.248526, 0.242426,
13775  0.238227, 0.23236, 0.227987, 0.222881, 0.218493,
13776  0.21379, 0.209789, 0.205374, 0.20248, 0.1986,
13777  0.195752, 0.192409, 0.1906, 0.188351, 0.186091,
13778  0.183357, 0.18159, 0.179943, 0.178385, 0.176829,
13779  0.175241, 0.173916, 0.17253, 0.171043, 0.17048,
13780  0.168845, 0.167479, 0.166622, 0.165091, 0.163871,
13781  0.162184, 0.160767, 0.159389, 0.15827, 0.157246,
13782  0.155555, 0.15365, 0.152101, 0.151153, 0.149826,
13783  0.148209, 0.14647, 0.145353, 0.143735, 0.14283,
13784  0.14135, 0.139881, 0.138676, 0.137339, 0.136658,
13785  0.135346, 0.13447, 0.133864, 0.132879, 0.132113,
13786  0.132053, 0.131053, 0.131074, 0.130292, 0.13044,
13787  0.0291501, 0.0354324, 0.0534044, 0.0800389, 0.113329,
13788  0.14704, 0.181977, 0.21172, 0.236736, 0.256682,
13789  0.271555, 0.281762, 0.287797, 0.289451, 0.289113,
13790  0.287205, 0.282658, 0.278125, 0.272681, 0.267655,
13791  0.26104, 0.254511, 0.249393, 0.243696, 0.238258,
13792  0.233606, 0.229073, 0.224784, 0.220414, 0.216721,
13793  0.213251, 0.21031, 0.207502, 0.204458, 0.202297,
13794  0.199833, 0.197725, 0.196565, 0.194794, 0.192966,
13795  0.191534, 0.190187, 0.188942, 0.187963, 0.185751,
13796  0.184647, 0.18297, 0.182704, 0.180806, 0.179726,
13797  0.178231, 0.177313, 0.175811, 0.174224, 0.172853,
13798  0.171203, 0.170032, 0.168841, 0.16709, 0.165958,
13799  0.164087, 0.162941, 0.161455, 0.159895, 0.158707,
13800  0.157485, 0.155586, 0.154348, 0.153222, 0.15202,
13801  0.151225, 0.150053, 0.148815, 0.148634, 0.147767,
13802  0.146763, 0.146912, 0.146607, 0.146401, 0.146288,
13803  0.0349232, 0.0422207, 0.0631158, 0.0940617, 0.131446,
13804  0.171049, 0.208966, 0.242669, 0.271137, 0.29312,
13805  0.307948, 0.316803, 0.32286, 0.323689, 0.321813,
13806  0.318992, 0.314035, 0.306613, 0.299865, 0.293358,
13807  0.286625, 0.280058, 0.273202, 0.265826, 0.260899,
13808  0.254637, 0.249985, 0.244526, 0.239969, 0.235995,
13809  0.232912, 0.229665, 0.225924, 0.223264, 0.220316,
13810  0.217919, 0.216314, 0.213769, 0.213097, 0.210645,
13811  0.208548, 0.20774, 0.206568, 0.205125, 0.203774,
13812  0.202862, 0.200624, 0.199777, 0.198273, 0.19764,
13813  0.195896, 0.194257, 0.193878, 0.192126, 0.191217,
13814  0.189169, 0.187927, 0.186645, 0.184661, 0.183298,
13815  0.182458, 0.180215, 0.178903, 0.177851, 0.176335,
13816  0.175065, 0.173336, 0.172301, 0.170985, 0.169882,
13817  0.16878, 0.16746, 0.166615, 0.165808, 0.165073,
13818  0.164318, 0.164145, 0.1634, 0.163415, 0.162993,
13819  0.0423126, 0.0505404, 0.0744665, 0.110158, 0.152927,
13820  0.198921, 0.24077, 0.27773, 0.308469, 0.33183,
13821  0.346499, 0.356939, 0.361413, 0.362177, 0.360002,
13822  0.354606, 0.347704, 0.339978, 0.331367, 0.322067,
13823  0.315373, 0.306966, 0.298199, 0.291264, 0.285024,
13824  0.278621, 0.272484, 0.267025, 0.262802, 0.257397,
13825  0.253204, 0.250012, 0.246138, 0.243216, 0.240426,
13826  0.238103, 0.235704, 0.233909, 0.231417, 0.230543,
13827  0.228614, 0.226918, 0.226062, 0.223912, 0.222626,
13828  0.221469, 0.220967, 0.219049, 0.217927, 0.217268,
13829  0.215122, 0.213745, 0.21324, 0.211922, 0.210246,
13830  0.208982, 0.207498, 0.205852, 0.205032, 0.203791,
13831  0.201337, 0.199969, 0.198647, 0.197374, 0.195795,
13832  0.193851, 0.19277, 0.191607, 0.190622, 0.18875,
13833  0.187958, 0.18661, 0.186098, 0.185184, 0.184313,
13834  0.183589, 0.183422, 0.183365, 0.182782, 0.182864,
13835  0.0505713, 0.0606099, 0.088328, 0.129597, 0.178264,
13836  0.229554, 0.277804, 0.318705, 0.350739, 0.376582,
13837  0.392789, 0.40241, 0.405704, 0.40493, 0.398337,
13838  0.394322, 0.384431, 0.376118, 0.366297, 0.356936,
13839  0.347297, 0.337218, 0.328815, 0.319132, 0.311569,
13840  0.304433, 0.297215, 0.291808, 0.285802, 0.280879,
13841  0.276106, 0.272336, 0.268829, 0.264776, 0.26253,
13842  0.259602, 0.256943, 0.254702, 0.252878, 0.25189,
13843  0.249541, 0.248124, 0.246962, 0.24561, 0.244251,
13844  0.24296, 0.241493, 0.240984, 0.239825, 0.238767,
13845  0.237429, 0.236356, 0.234952, 0.233871, 0.231936,
13846  0.230894, 0.230169, 0.228192, 0.227007, 0.225269,
13847  0.223907, 0.222083, 0.220619, 0.21957, 0.217816,
13848  0.217053, 0.214756, 0.213498, 0.212015, 0.21146,
13849  0.209832, 0.209404, 0.207422, 0.206723, 0.205271,
13850  0.205704, 0.205056, 0.204687, 0.204506, 0.204852,
13851  0.0610236, 0.0722911, 0.104459, 0.152413, 0.208675,
13852  0.265604, 0.320986, 0.366203, 0.402082, 0.428403,
13853  0.44528, 0.454339, 0.456772, 0.453238, 0.447026,
13854  0.438294, 0.428197, 0.417452, 0.405144, 0.393739,
13855  0.381621, 0.369821, 0.360319, 0.350736, 0.341762,
13856  0.332968, 0.325383, 0.318737, 0.311811, 0.306818,
13857  0.301971, 0.297839, 0.292803, 0.289409, 0.285779,
13858  0.283221, 0.280623, 0.278098, 0.277126, 0.274553,
13859  0.273373, 0.27128, 0.269721, 0.269054, 0.268235,
13860  0.266541, 0.265727, 0.263989, 0.263677, 0.261926,
13861  0.260864, 0.259653, 0.258858, 0.257345, 0.256801,
13862  0.254918, 0.253805, 0.253338, 0.252041, 0.249616,
13863  0.248562, 0.24671, 0.245467, 0.244036, 0.242711,
13864  0.240619, 0.239213, 0.237949, 0.236777, 0.235797,
13865  0.233782, 0.232985, 0.231767, 0.230968, 0.230379,
13866  0.229127, 0.229752, 0.229652, 0.228628, 0.228818,
13867  0.0736898, 0.0868066, 0.124203, 0.179523, 0.244433,
13868  0.309613, 0.369765, 0.4221, 0.460425, 0.48818,
13869  0.50357, 0.511535, 0.511653, 0.507444, 0.499463,
13870  0.488794, 0.476135, 0.461535, 0.446893, 0.435198,
13871  0.420178, 0.40819, 0.396572, 0.384443, 0.373767,
13872  0.365113, 0.357375, 0.348669, 0.341796, 0.334977,
13873  0.328965, 0.324404, 0.3205, 0.316605, 0.313101,
13874  0.30966, 0.306602, 0.304413, 0.301867, 0.299514,
13875  0.299535, 0.29746, 0.296176, 0.294692, 0.2934,
13876  0.292984, 0.292096, 0.290702, 0.289817, 0.28836,
13877  0.287243, 0.286681, 0.285613, 0.284303, 0.282174,
13878  0.282141, 0.281437, 0.279842, 0.27836, 0.276345,
13879  0.2766, 0.273891, 0.271746, 0.271021, 0.269034,
13880  0.268425, 0.266959, 0.265433, 0.263919, 0.262402,
13881  0.261239, 0.2603, 0.25897, 0.258539, 0.257721,
13882  0.257341, 0.256555, 0.255219, 0.255796, 0.255796,
13883  0.0891208, 0.104287, 0.147301, 0.210623, 0.285384,
13884  0.360971, 0.42864, 0.483021, 0.526212, 0.555507,
13885  0.572075, 0.581005, 0.57781, 0.568605, 0.559038,
13886  0.545765, 0.529525, 0.513903, 0.496802, 0.480097,
13887  0.464707, 0.449375, 0.435427, 0.423015, 0.41155,
13888  0.400213, 0.390181, 0.38185, 0.374163, 0.367002,
13889  0.360394, 0.355357, 0.350242, 0.345429, 0.341862,
13890  0.338652, 0.33554, 0.333311, 0.330738, 0.328779,
13891  0.327839, 0.325623, 0.324474, 0.323487, 0.322993,
13892  0.320461, 0.320529, 0.319428, 0.318384, 0.318003,
13893  0.317468, 0.315704, 0.315243, 0.313607, 0.312389,
13894  0.311144, 0.31099, 0.309384, 0.308057, 0.307628,
13895  0.30611, 0.305188, 0.301885, 0.30098, 0.299501,
13896  0.298541, 0.296964, 0.296531, 0.294231, 0.29376,
13897  0.291695, 0.291491, 0.290188, 0.289671, 0.288772,
13898  0.287239, 0.286747, 0.286482, 0.286035, 0.285794,
13899  0.107419, 0.125111, 0.175411, 0.249504, 0.333704,
13900  0.419416, 0.495253, 0.558645, 0.604055, 0.633873,
13901  0.650269, 0.655226, 0.651112, 0.640713, 0.625892,
13902  0.608264, 0.590038, 0.570492, 0.550562, 0.531977,
13903  0.513892, 0.497755, 0.480482, 0.465058, 0.452055,
13904  0.439533, 0.42965, 0.41762, 0.410505, 0.402391,
13905  0.395916, 0.388511, 0.38344, 0.377997, 0.374022,
13906  0.370202, 0.366622, 0.365187, 0.362824, 0.360604,
13907  0.357884, 0.357468, 0.356075, 0.354989, 0.353008,
13908  0.352286, 0.35219, 0.350813, 0.349817, 0.349226,
13909  0.349345, 0.348398, 0.348246, 0.34609, 0.345535,
13910  0.345146, 0.343295, 0.34197, 0.341407, 0.339477,
13911  0.339132, 0.337062, 0.337328, 0.334873, 0.334475,
13912  0.332884, 0.330413, 0.330436, 0.328298, 0.326808,
13913  0.325583, 0.32526, 0.324012, 0.323087, 0.320626,
13914  0.321797, 0.321303, 0.321977, 0.319847, 0.319559,
13915  0.129389, 0.149832, 0.208579, 0.293436, 0.392225,
13916  0.489969, 0.573909, 0.64471, 0.690939, 0.726557,
13917  0.741008, 0.743959, 0.737084, 0.721908, 0.702702,
13918  0.680628, 0.658288, 0.634113, 0.612993, 0.589619,
13919  0.567972, 0.548365, 0.529681, 0.512374, 0.497972,
13920  0.484074, 0.470896, 0.459701, 0.449505, 0.440372,
13921  0.432601, 0.424922, 0.419279, 0.414051, 0.409178,
13922  0.405353, 0.402303, 0.3987, 0.396652, 0.394772,
13923  0.392572, 0.391493, 0.388702, 0.388214, 0.387729,
13924  0.386624, 0.386376, 0.386372, 0.385968, 0.385457,
13925  0.383585, 0.383505, 0.382265, 0.382494, 0.381362,
13926  0.380414, 0.379908, 0.378751, 0.377833, 0.376993,
13927  0.376874, 0.375419, 0.373955, 0.371417, 0.37154,
13928  0.370472, 0.368959, 0.367035, 0.36573, 0.364621,
13929  0.362882, 0.362338, 0.361107, 0.359322, 0.360941,
13930  0.358644, 0.358411, 0.35833, 0.357983, 0.356629,
13931  0.155722, 0.180026, 0.247876, 0.347438, 0.459651,
13932  0.569772, 0.662924, 0.741851, 0.794318, 0.824525,
13933  0.838855, 0.844483, 0.828769, 0.812583, 0.789975,
13934  0.760714, 0.736756, 0.706389, 0.679183, 0.653197,
13935  0.628817, 0.607574, 0.584486, 0.566733, 0.547279,
13936  0.531016, 0.518685, 0.505137, 0.492935, 0.482651,
13937  0.474511, 0.46542, 0.4585, 0.453203, 0.448963,
13938  0.444414, 0.438923, 0.43625, 0.435133, 0.432125,
13939  0.429738, 0.429021, 0.426867, 0.425109, 0.424685,
13940  0.425433, 0.424392, 0.423362, 0.42361, 0.421822,
13941  0.422466, 0.422165, 0.421227, 0.421258, 0.420476,
13942  0.420796, 0.420209, 0.418741, 0.418524, 0.417322,
13943  0.417475, 0.415061, 0.41378, 0.412499, 0.411683,
13944  0.41129, 0.409868, 0.408621, 0.407698, 0.405647,
13945  0.404541, 0.404347, 0.402352, 0.4009, 0.400728,
13946  0.400915, 0.399702, 0.40085, 0.399771, 0.399721,
13947  0.187464, 0.215378, 0.295424, 0.408636, 0.537365,
13948  0.662738, 0.769648, 0.853935, 0.91176, 0.941913,
13949  0.956338, 0.953261, 0.936998, 0.912122, 0.881778,
13950  0.85363, 0.820087, 0.788458, 0.756268, 0.724372,
13951  0.696197, 0.669708, 0.644225, 0.623765, 0.602396,
13952  0.584136, 0.567854, 0.552739, 0.540141, 0.530471,
13953  0.518986, 0.513445, 0.501206, 0.496214, 0.489549,
13954  0.485709, 0.47999, 0.477088, 0.474671, 0.471544,
13955  0.471064, 0.468322, 0.469447, 0.466839, 0.464143,
13956  0.46412, 0.464379, 0.465073, 0.464383, 0.464989,
13957  0.464387, 0.463361, 0.464372, 0.463319, 0.463014,
13958  0.46396, 0.463903, 0.462755, 0.461138, 0.461336,
13959  0.459964, 0.458545, 0.457577, 0.457131, 0.456482,
13960  0.456158, 0.454454, 0.454545, 0.452902, 0.45058,
13961  0.449947, 0.449356, 0.449009, 0.448624, 0.446126,
13962  0.446237, 0.445977, 0.445417, 0.445787, 0.446492,
13963  0.224444, 0.257266, 0.350879, 0.480756, 0.627253,
13964  0.770776, 0.890617, 0.983178, 1.04548, 1.07883,
13965  1.08513, 1.08372, 1.0577, 1.02549, 0.991376,
13966  0.954066, 0.913922, 0.876367, 0.839571, 0.803416,
13967  0.769484, 0.740798, 0.710774, 0.686443, 0.664297,
13968  0.642132, 0.623124, 0.607582, 0.592025, 0.579434,
13969  0.566721, 0.557768, 0.549189, 0.540305, 0.534219,
13970  0.529251, 0.524423, 0.51881, 0.518124, 0.51491,
13971  0.513609, 0.510967, 0.510101, 0.509373, 0.509163,
13972  0.508805, 0.508897, 0.508877, 0.508077, 0.507627,
13973  0.50646, 0.50855, 0.508877, 0.509545, 0.510384,
13974  0.50797, 0.507726, 0.50845, 0.505572, 0.508691,
13975  0.507882, 0.506033, 0.505202, 0.505213, 0.505331,
13976  0.503802, 0.502231, 0.50201, 0.499497, 0.499482,
13977  0.498933, 0.498094, 0.498334, 0.498117, 0.495311,
13978  0.493934, 0.49292, 0.494613, 0.495013, 0.495547,
13979  0.267586, 0.305426, 0.41198, 0.563679, 0.733107,
13980  0.893244, 1.02668, 1.12783, 1.19618, 1.22355,
13981  1.2304, 1.21868, 1.18729, 1.15349, 1.11064,
13982  1.06308, 1.01745, 0.973398, 0.928007, 0.888878,
13983  0.849737, 0.813734, 0.782482, 0.75276, 0.726648,
13984  0.701562, 0.682463, 0.662414, 0.644454, 0.631616,
13985  0.617767, 0.606141, 0.596642, 0.587697, 0.581562,
13986  0.573852, 0.568571, 0.567236, 0.561452, 0.561334,
13987  0.557265, 0.554981, 0.552998, 0.553372, 0.554497,
13988  0.553296, 0.550699, 0.552133, 0.55235, 0.553688,
13989  0.554001, 0.555053, 0.553204, 0.555095, 0.555522,
13990  0.554813, 0.557242, 0.554325, 0.555275, 0.555099,
13991  0.554417, 0.554558, 0.553597, 0.55354, 0.554176,
13992  0.552697, 0.55142, 0.550238, 0.549033, 0.549586,
13993  0.547351, 0.548594, 0.546295, 0.547206, 0.545513,
13994  0.547199, 0.544537, 0.544331, 0.542939, 0.54432,
13995  0.315998, 0.360368, 0.483277, 0.655764, 0.853016,
13996  1.03593, 1.18257, 1.28391, 1.35834, 1.38936,
13997  1.38553, 1.36716, 1.33543, 1.28856, 1.23574,
13998  1.18121, 1.12524, 1.0732, 1.0247, 0.976269,
13999  0.932339, 0.893934, 0.853764, 0.821784, 0.795229,
14000  0.766269, 0.743425, 0.718797, 0.700052, 0.686226,
14001  0.671588, 0.656, 0.64405, 0.637354, 0.626674,
14002  0.619601, 0.616592, 0.608573, 0.605687, 0.602522,
14003  0.600288, 0.597176, 0.595239, 0.595636, 0.595411,
14004  0.596192, 0.595628, 0.596353, 0.597748, 0.599098,
14005  0.597271, 0.598919, 0.598709, 0.600711, 0.600867,
14006  0.599144, 0.60052, 0.601981, 0.602926, 0.601847,
14007  0.601321, 0.60341, 0.60306, 0.601958, 0.601828,
14008  0.600848, 0.600406, 0.60314, 0.600166, 0.599704,
14009  0.600162, 0.598122, 0.597817, 0.597382, 0.595033,
14010  0.595456, 0.595441, 0.594816, 0.59546, 0.594358,
14011  0.367602, 0.418646, 0.559919, 0.759612, 0.974828,
14012  1.17566, 1.33889, 1.46444, 1.52971, 1.5637,
14013  1.55337, 1.52541, 1.47972, 1.42709, 1.36058,
14014  1.30202, 1.24181, 1.18114, 1.12017, 1.07081,
14015  1.01689, 0.972944, 0.93272, 0.892428, 0.855769,
14016  0.828144, 0.800671, 0.779604, 0.75766, 0.737721,
14017  0.721481, 0.705718, 0.69259, 0.683717, 0.674375,
14018  0.666078, 0.65764, 0.652206, 0.649072, 0.643261,
14019  0.640877, 0.640443, 0.6392, 0.634266, 0.637015,
14020  0.637144, 0.635017, 0.636573, 0.636675, 0.639078,
14021  0.637499, 0.640172, 0.640897, 0.641926, 0.643638,
14022  0.644919, 0.643253, 0.645255, 0.645114, 0.644298,
14023  0.646277, 0.647161, 0.648679, 0.647733, 0.646727,
14024  0.646887, 0.646788, 0.646917, 0.646761, 0.64567,
14025  0.644107, 0.642437, 0.644996, 0.643398, 0.642914,
14026  0.643375, 0.643356, 0.642788, 0.643234, 0.642292,
14027  0.423423, 0.479933, 0.64241, 0.868512, 1.11015,
14028  1.33702, 1.51468, 1.64009, 1.70705, 1.73332,
14029  1.72138, 1.68611, 1.63025, 1.56416, 1.49895,
14030  1.4225, 1.34744, 1.27785, 1.21526, 1.15718,
14031  1.09777, 1.05001, 0.999136, 0.958939, 0.919508,
14032  0.883955, 0.85456, 0.829497, 0.804957, 0.782837,
14033  0.764325, 0.747052, 0.735647, 0.722984, 0.710671,
14034  0.70128, 0.6936, 0.689871, 0.681235, 0.681395,
14035  0.675839, 0.67158, 0.672255, 0.670307, 0.670272,
14036  0.669391, 0.670226, 0.670154, 0.67187, 0.671954,
14037  0.674741, 0.672613, 0.676861, 0.677845, 0.675649,
14038  0.679458, 0.679172, 0.681483, 0.681967, 0.683393,
14039  0.683694, 0.683667, 0.686089, 0.685387, 0.685654,
14040  0.686935, 0.684678, 0.686664, 0.684686, 0.685848,
14041  0.684445, 0.684697, 0.684769, 0.683111, 0.682234,
14042  0.682451, 0.683824, 0.681109, 0.6817, 0.682482,
14043  0.477759, 0.542108, 0.719049, 0.9749, 1.23813,
14044  1.4829, 1.67997, 1.80749, 1.87868, 1.90005,
14045  1.88629, 1.83673, 1.77068, 1.70145, 1.61704,
14046  1.5294, 1.45135, 1.37275, 1.29789, 1.23296,
14047  1.16808, 1.11394, 1.05919, 1.01433, 0.972117,
14048  0.935016, 0.901747, 0.872718, 0.84531, 0.819961,
14049  0.800171, 0.780446, 0.767192, 0.753088, 0.742018,
14050  0.72987, 0.720963, 0.715769, 0.710477, 0.706511,
14051  0.702771, 0.69842, 0.698401, 0.695065, 0.694516,
14052  0.69238, 0.695129, 0.69678, 0.697242, 0.694538,
14053  0.696597, 0.698927, 0.700967, 0.699675, 0.702855,
14054  0.705802, 0.70568, 0.706447, 0.708818, 0.709283,
14055  0.708258, 0.709569, 0.712494, 0.713443, 0.713035,
14056  0.713318, 0.71159, 0.710389, 0.712307, 0.711472,
14057  0.710374, 0.71222, 0.711365, 0.711236, 0.711678,
14058  0.710637, 0.711201, 0.71042, 0.708872, 0.710027,
14059  0.524534, 0.597855, 0.796331, 1.07089, 1.36685,
14060  1.63122, 1.83889, 1.97184, 2.03365, 2.05646,
14061  2.02811, 1.96508, 1.8977, 1.80511, 1.71871,
14062  1.62677, 1.53324, 1.45125, 1.36305, 1.29647,
14063  1.22436, 1.16371, 1.10791, 1.05794, 1.01267,
14064  0.972284, 0.932671, 0.898982, 0.871353, 0.845756,
14065  0.825158, 0.803534, 0.787626, 0.769606, 0.758171,
14066  0.746926, 0.73522, 0.728638, 0.724154, 0.718031,
14067  0.712559, 0.708475, 0.706134, 0.706813, 0.705791,
14068  0.702042, 0.703228, 0.704067, 0.70597, 0.703934,
14069  0.706877, 0.707091, 0.708113, 0.709249, 0.71124,
14070  0.715205, 0.714847, 0.717947, 0.719075, 0.716132,
14071  0.717615, 0.722477, 0.719693, 0.720479, 0.721847,
14072  0.723552, 0.722858, 0.722728, 0.723533, 0.72335,
14073  0.723495, 0.724246, 0.722881, 0.723071, 0.721558,
14074  0.722911, 0.721954, 0.720978, 0.721378, 0.724097,
14075  0.563724, 0.642387, 0.857504, 1.15499, 1.46992,
14076  1.75021, 1.96246, 2.10251, 2.17024, 2.17016,
14077  2.13853, 2.07995, 1.98666, 1.88453, 1.79002,
14078  1.69103, 1.59307, 1.50227, 1.4127, 1.33651,
14079  1.26353, 1.19639, 1.13737, 1.08097, 1.03411,
14080  0.985901, 0.946672, 0.912622, 0.884142, 0.856105,
14081  0.828761, 0.810299, 0.790219, 0.776103, 0.760588,
14082  0.747761, 0.735845, 0.729725, 0.720936, 0.712887,
14083  0.710275, 0.708117, 0.702481, 0.700205, 0.698794,
14084  0.698836, 0.696605, 0.699411, 0.69688, 0.699278,
14085  0.698588, 0.698576, 0.702573, 0.700971, 0.704536,
14086  0.706683, 0.706992, 0.706637, 0.707541, 0.709161,
14087  0.709711, 0.714103, 0.714084, 0.712727, 0.714153,
14088  0.714313, 0.714473, 0.715072, 0.714347, 0.716158,
14089  0.713672, 0.717691, 0.713104, 0.71477, 0.715708,
14090  0.714446, 0.716616, 0.713756, 0.713165, 0.715316,
14091  0.59008, 0.674066, 0.905369, 1.21567, 1.55034,
14092  1.8433, 2.06148, 2.20373, 2.25861, 2.25573,
14093  2.21006, 2.1399, 2.05509, 1.93522, 1.8346,
14094  1.7231, 1.61975, 1.52316, 1.4337, 1.3481,
14095  1.27215, 1.20399, 1.13971, 1.08427, 1.03772,
14096  0.98356, 0.944346, 0.906689, 0.873908, 0.849188,
14097  0.821417, 0.798211, 0.778162, 0.759665, 0.744535,
14098  0.731708, 0.720662, 0.710191, 0.702531, 0.6981,
14099  0.689978, 0.68395, 0.681921, 0.677982, 0.677139,
14100  0.67341, 0.674467, 0.674463, 0.672827, 0.673315,
14101  0.673563, 0.674573, 0.674955, 0.676781, 0.678665,
14102  0.677936, 0.67953, 0.682055, 0.683328, 0.68438,
14103  0.684255, 0.68602, 0.685273, 0.685795, 0.687351,
14104  0.689749, 0.689547, 0.68925, 0.688144, 0.688621,
14105  0.688396, 0.685376, 0.689978, 0.69156, 0.688785,
14106  0.688575, 0.6892, 0.689219, 0.689944, 0.686962,
14107  0.600002, 0.689429, 0.928751, 1.2632, 1.60107,
14108  1.90385, 2.11717, 2.24288, 2.3042, 2.29392,
14109  2.23989, 2.15764, 2.05507, 1.95079, 1.83999,
14110  1.72055, 1.61652, 1.51654, 1.42676, 1.33804,
14111  1.26171, 1.18745, 1.1234, 1.06374, 1.01037,
14112  0.958843, 0.924747, 0.885156, 0.847453, 0.820091,
14113  0.792831, 0.770269, 0.748279, 0.731422, 0.715728,
14114  0.700574, 0.689036, 0.67945, 0.66774, 0.66342,
14115  0.657697, 0.651051, 0.648751, 0.643444, 0.639348,
14116  0.64045, 0.63491, 0.63515, 0.635265, 0.63671,
14117  0.635017, 0.634605, 0.638205, 0.637846, 0.636492,
14118  0.639196, 0.638628, 0.642544, 0.641255, 0.643436,
14119  0.64421, 0.64461, 0.64585, 0.644073, 0.64524,
14120  0.645526, 0.646128, 0.645953, 0.648347, 0.646906,
14121  0.646849, 0.645792, 0.647787, 0.646155, 0.644191,
14122  0.647386, 0.645731, 0.645339, 0.647123, 0.648218,
14123  0.598656, 0.690481, 0.934814, 1.2716, 1.62491,
14124  1.91658, 2.13771, 2.25923, 2.31265, 2.29104,
14125  2.23474, 2.14545, 2.03708, 1.92791, 1.80409,
14126  1.68871, 1.58248, 1.48197, 1.38897, 1.29941,
14127  1.21896, 1.14944, 1.08425, 1.02475, 0.974168,
14128  0.923935, 0.8823, 0.843461, 0.810211, 0.782044,
14129  0.752943, 0.728604, 0.708231, 0.68965, 0.673509,
14130  0.658589, 0.647482, 0.636451, 0.624851, 0.619418,
14131  0.612188, 0.605527, 0.602347, 0.596951, 0.592322,
14132  0.590892, 0.589611, 0.588658, 0.588623, 0.585874,
14133  0.585356, 0.585523, 0.585497, 0.586671, 0.586801,
14134  0.585653, 0.586625, 0.586831, 0.588955, 0.589756,
14135  0.588925, 0.591624, 0.589268, 0.591533, 0.591205,
14136  0.592231, 0.591506, 0.590934, 0.593897, 0.593424,
14137  0.593199, 0.592391, 0.594137, 0.592299, 0.591499,
14138  0.592616, 0.592086, 0.590869, 0.593577, 0.591891,
14139  0.583758, 0.677311, 0.927046, 1.26579, 1.6051,
14140  1.90744, 2.10982, 2.23491, 2.27307, 2.25307,
14141  2.18816, 2.08489, 1.98427, 1.86345, 1.7511,
14142  1.63668, 1.52664, 1.42277, 1.33214, 1.24682,
14143  1.16592, 1.09321, 1.02776, 0.97254, 0.919779,
14144  0.872779, 0.832269, 0.792415, 0.760039, 0.73045,
14145  0.70295, 0.680011, 0.659821, 0.639806, 0.621782,
14146  0.610552, 0.596597, 0.586587, 0.577074, 0.566889,
14147  0.560681, 0.555366, 0.549936, 0.547012, 0.541429,
14148  0.538173, 0.53497, 0.534902, 0.532499, 0.529426,
14149  0.530028, 0.530307, 0.530261, 0.53007, 0.529605,
14150  0.530761, 0.528793, 0.531588, 0.531012, 0.53073,
14151  0.530307, 0.530272, 0.531283, 0.534387, 0.532515,
14152  0.531001, 0.53211, 0.532762, 0.532011, 0.5329,
14153  0.53351, 0.532434, 0.532473, 0.533304, 0.530433,
14154  0.531885, 0.533365, 0.532625, 0.531329, 0.531439,
14155  0.560193, 0.654829, 0.902132, 1.23765, 1.57819,
14156  1.86519, 2.06342, 2.17238, 2.21078, 2.18479,
14157  2.11017, 2.01462, 1.9073, 1.78705, 1.67223,
14158  1.56274, 1.45134, 1.34975, 1.26506, 1.17701,
14159  1.10184, 1.02995, 0.966805, 0.91319, 0.859407,
14160  0.816949, 0.772572, 0.736627, 0.704201, 0.676179,
14161  0.650086, 0.625072, 0.60497, 0.589157, 0.569417,
14162  0.555206, 0.543229, 0.532774, 0.523828, 0.514856,
14163  0.507753, 0.502407, 0.496859, 0.491166, 0.487372,
14164  0.483887, 0.481176, 0.479201, 0.476364, 0.475647,
14165  0.472745, 0.473622, 0.472063, 0.473058, 0.47143,
14166  0.470728, 0.471853, 0.47151, 0.470457, 0.471132,
14167  0.471102, 0.471083, 0.470804, 0.470732, 0.472394,
14168  0.470492, 0.470572, 0.471811, 0.469676, 0.468806,
14169  0.471574, 0.470656, 0.469191, 0.47072, 0.470228,
14170  0.469561, 0.471544, 0.469519, 0.471014, 0.467361,
14171  0.531435, 0.624172, 0.869481, 1.19786, 1.52785,
14172  1.8033, 2.00133, 2.10551, 2.12724, 2.08937,
14173  2.01856, 1.91802, 1.80634, 1.69084, 1.58641,
14174  1.47336, 1.36806, 1.27541, 1.18485, 1.10117,
14175  1.02837, 0.96033, 0.899318, 0.845642, 0.798913,
14176  0.754941, 0.714042, 0.6795, 0.646891, 0.619951,
14177  0.594179, 0.570477, 0.550863, 0.531965, 0.515577,
14178  0.502716, 0.491181, 0.481431, 0.469676, 0.462789,
14179  0.455819, 0.447636, 0.442984, 0.438245, 0.432578,
14180  0.429353, 0.427808, 0.423313, 0.42207, 0.41982,
14181  0.41945, 0.416796, 0.415492, 0.41566, 0.413925,
14182  0.413723, 0.41317, 0.413284, 0.413868, 0.413959,
14183  0.413593, 0.412998, 0.412987, 0.413231, 0.411969,
14184  0.411805, 0.412457, 0.411759, 0.411534, 0.412346,
14185  0.411508, 0.411454, 0.410184, 0.409967, 0.410673,
14186  0.409696, 0.41031, 0.408541, 0.407736, 0.40888,
14187  0.501945, 0.591049, 0.83111, 1.15451, 1.47804,
14188  1.73483, 1.91315, 2.00699, 2.02325, 1.98682,
14189  1.91525, 1.82001, 1.71001, 1.59656, 1.48615,
14190  1.37948, 1.27869, 1.18872, 1.10491, 1.0245,
14191  0.953475, 0.890319, 0.830401, 0.780202, 0.735102,
14192  0.693208, 0.655279, 0.620108, 0.591224, 0.564163,
14193  0.540507, 0.518696, 0.497858, 0.483281, 0.46523,
14194  0.451987, 0.441379, 0.430554, 0.420224, 0.412693,
14195  0.405128, 0.398318, 0.392934, 0.389327, 0.384057,
14196  0.379424, 0.377563, 0.373853, 0.371835, 0.368359,
14197  0.366956, 0.367172, 0.364445, 0.364099, 0.361961,
14198  0.362116, 0.361597, 0.361257, 0.360273, 0.360484,
14199  0.357938, 0.358234, 0.359605, 0.35821, 0.358522,
14200  0.357626, 0.357404, 0.355427, 0.35569, 0.355361,
14201  0.355522, 0.354801, 0.355131, 0.352967, 0.354528,
14202  0.355698, 0.354079, 0.35435, 0.353391, 0.352372,
14203  0.46992, 0.55797, 0.795851, 1.10146, 1.4169,
14204  1.66318, 1.82726, 1.91169, 1.91594, 1.88295,
14205  1.80312, 1.70636, 1.60363, 1.49071, 1.39328,
14206  1.28784, 1.19312, 1.10246, 1.02186, 0.949696,
14207  0.881221, 0.820476, 0.762376, 0.718656, 0.673795,
14208  0.635143, 0.597493, 0.566462, 0.537674, 0.51237,
14209  0.487536, 0.46979, 0.450187, 0.434111, 0.419927,
14210  0.406383, 0.394254, 0.38458, 0.374679, 0.367937,
14211  0.361269, 0.355615, 0.348983, 0.343548, 0.338933,
14212  0.334702, 0.331987, 0.329207, 0.326575, 0.324131,
14213  0.321533, 0.320075, 0.317976, 0.316994, 0.315685,
14214  0.314681, 0.313729, 0.312524, 0.312545, 0.31271,
14215  0.310396, 0.311128, 0.310199, 0.309771, 0.308741,
14216  0.307651, 0.308045, 0.307864, 0.308367, 0.307308,
14217  0.307193, 0.306842, 0.305278, 0.305548, 0.30586,
14218  0.303503, 0.305608, 0.305035, 0.304774, 0.304685,
14219  0.438763, 0.524545, 0.751776, 1.05584, 1.35022,
14220  1.58707, 1.73453, 1.80957, 1.81273, 1.77218,
14221  1.69527, 1.60195, 1.49847, 1.39353, 1.29585,
14222  1.20237, 1.10872, 1.02294, 0.946863, 0.878907,
14223  0.810184, 0.759242, 0.705036, 0.658555, 0.616752,
14224  0.579838, 0.545605, 0.517304, 0.488909, 0.463254,
14225  0.441047, 0.423191, 0.406238, 0.390624, 0.376779,
14226  0.364053, 0.353372, 0.343522, 0.334687, 0.326231,
14227  0.320046, 0.313887, 0.308347, 0.303645, 0.29835,
14228  0.294508, 0.291556, 0.288968, 0.285421, 0.283536,
14229  0.280828, 0.279216, 0.277905, 0.276433, 0.275373,
14230  0.274785, 0.273122, 0.271284, 0.27068, 0.27036,
14231  0.270137, 0.26839, 0.268105, 0.267156, 0.267074,
14232  0.26582, 0.265278, 0.265095, 0.264612, 0.264278,
14233  0.264163, 0.263586, 0.263156, 0.261952, 0.261449,
14234  0.262598, 0.261121, 0.261508, 0.26188, 0.261366,
14235  0.409052, 0.493477, 0.714412, 1.00342, 1.27997,
14236  1.50759, 1.64921, 1.71354, 1.71423, 1.66957,
14237  1.5957, 1.50064, 1.40565, 1.3037, 1.2035,
14238  1.10871, 1.02598, 0.944735, 0.874587, 0.808533,
14239  0.748825, 0.695274, 0.646456, 0.604612, 0.56451,
14240  0.528915, 0.497187, 0.470217, 0.443625, 0.421746,
14241  0.402013, 0.382628, 0.366801, 0.351122, 0.337764,
14242  0.326914, 0.316709, 0.307276, 0.298659, 0.291707,
14243  0.284213, 0.278952, 0.273017, 0.267385, 0.264513,
14244  0.260526, 0.256621, 0.2539, 0.250958, 0.248758,
14245  0.246778, 0.244539, 0.242679, 0.240933, 0.240478,
14246  0.237927, 0.236975, 0.235701, 0.23589, 0.234004,
14247  0.233433, 0.233139, 0.231289, 0.231297, 0.23033,
14248  0.229897, 0.229187, 0.2289, 0.228233, 0.227898,
14249  0.22688, 0.22619, 0.226494, 0.22564, 0.22511,
14250  0.224269, 0.224779, 0.225207, 0.224533, 0.224217,
14251  0.380975, 0.463132, 0.674901, 0.953547, 1.22302,
14252  1.4345, 1.56859, 1.62581, 1.61159, 1.56689,
14253  1.49842, 1.40538, 1.31374, 1.21418, 1.12373,
14254  1.03535, 0.952476, 0.876588, 0.809418, 0.745919,
14255  0.692369, 0.640958, 0.597454, 0.553757, 0.516351,
14256  0.484554, 0.454359, 0.427599, 0.403622, 0.383703,
14257  0.363458, 0.346713, 0.33213, 0.317691, 0.304972,
14258  0.293673, 0.284195, 0.275038, 0.266913, 0.259605,
14259  0.254684, 0.247597, 0.242448, 0.23761, 0.233832,
14260  0.230593, 0.22648, 0.223274, 0.221451, 0.218092,
14261  0.216247, 0.214413, 0.212317, 0.211412, 0.209217,
14262  0.207716, 0.206519, 0.205583, 0.204631, 0.203492,
14263  0.202994, 0.201832, 0.201052, 0.200482, 0.199089,
14264  0.198604, 0.198119, 0.197431, 0.196923, 0.19617,
14265  0.195207, 0.195557, 0.194579, 0.194408, 0.193512,
14266  0.193657, 0.193571, 0.192866, 0.192895, 0.193241,
14267  0.356056, 0.435576, 0.641629, 0.907878, 1.16538,
14268  1.36652, 1.48309, 1.53684, 1.52487, 1.47577,
14269  1.40537, 1.31561, 1.22364, 1.13132, 1.04643,
14270  0.962832, 0.884931, 0.814218, 0.748859, 0.689734,
14271  0.639448, 0.589016, 0.547793, 0.508367, 0.476036,
14272  0.445692, 0.416503, 0.392236, 0.369598, 0.349801,
14273  0.331362, 0.314882, 0.30002, 0.286967, 0.275097,
14274  0.265661, 0.255538, 0.247483, 0.239849, 0.2323,
14275  0.226991, 0.221946, 0.215824, 0.212432, 0.208105,
14276  0.204323, 0.200678, 0.19741, 0.194855, 0.192757,
14277  0.190653, 0.188669, 0.186638, 0.185226, 0.183156,
14278  0.182448, 0.180951, 0.17968, 0.178455, 0.178136,
14279  0.176895, 0.175657, 0.175095, 0.174881, 0.173741,
14280  0.172859, 0.171783, 0.171307, 0.170598, 0.169876,
14281  0.169155, 0.168549, 0.168257, 0.168103, 0.168046,
14282  0.166967, 0.166848, 0.166404, 0.166122, 0.166031,
14283  0.332576, 0.407878, 0.611399, 0.869153, 1.11294,
14284  1.29971, 1.41051, 1.44724, 1.44241, 1.39208,
14285  1.31565, 1.23368, 1.14461, 1.0589, 0.973825,
14286  0.895387, 0.823335, 0.755425, 0.695103, 0.639604,
14287  0.589893, 0.544915, 0.505747, 0.470011, 0.436876,
14288  0.408289, 0.383318, 0.358971, 0.339271, 0.319444,
14289  0.301922, 0.288197, 0.273648, 0.261393, 0.250169,
14290  0.240491, 0.231099, 0.222643, 0.216229, 0.209363,
14291  0.203613, 0.198578, 0.193864, 0.18923, 0.185513,
14292  0.181913, 0.178802, 0.175755, 0.173363, 0.171257,
14293  0.168885, 0.166759, 0.165138, 0.163672, 0.161741,
14294  0.160446, 0.158776, 0.15755, 0.156705, 0.155923,
14295  0.154884, 0.154395, 0.152935, 0.152375, 0.151641,
14296  0.151077, 0.149671, 0.148889, 0.14823, 0.148003,
14297  0.147295, 0.146954, 0.146583, 0.145654, 0.14541,
14298  0.14475, 0.144761, 0.144768, 0.144593, 0.144552,
14299  0.311571, 0.386269, 0.579953, 0.826985, 1.06365,
14300  1.23932, 1.34039, 1.37375, 1.36182, 1.31463,
14301  1.2392, 1.16444, 1.0751, 0.988905, 0.910967,
14302  0.834855, 0.767798, 0.703854, 0.645587, 0.596013,
14303  0.546924, 0.502609, 0.469168, 0.433921, 0.403523,
14304  0.376237, 0.351107, 0.331105, 0.310769, 0.292528,
14305  0.277087, 0.262536, 0.250197, 0.238254, 0.227718,
14306  0.218916, 0.210402, 0.202569, 0.195833, 0.189476,
14307  0.183941, 0.178857, 0.174517, 0.170191, 0.166729,
14308  0.163129, 0.160011, 0.157888, 0.15509, 0.153066,
14309  0.150417, 0.148121, 0.146787, 0.144678, 0.143682,
14310  0.142143, 0.140919, 0.139884, 0.138777, 0.137725,
14311  0.136932, 0.135468, 0.134952, 0.133897, 0.132721,
14312  0.132336, 0.131211, 0.131149, 0.130418, 0.129832,
14313  0.12881, 0.128202, 0.127922, 0.127805, 0.127464,
14314  0.127324, 0.126561, 0.126566, 0.12644, 0.126308,
14315  0.292724, 0.36463, 0.553494, 0.792583, 1.01727,
14316  1.1813, 1.27766, 1.30643, 1.29035, 1.2397,
14317  1.16864, 1.0902, 1.00907, 0.929319, 0.854419,
14318  0.785754, 0.714587, 0.656111, 0.602042, 0.552777,
14319  0.508927, 0.470389, 0.434515, 0.402539, 0.373797,
14320  0.347733, 0.324569, 0.305654, 0.286437, 0.269435,
14321  0.255084, 0.241213, 0.228722, 0.218268, 0.208611,
14322  0.199641, 0.192095, 0.184287, 0.178102, 0.172718,
14323  0.166931, 0.162483, 0.158877, 0.153975, 0.150423,
14324  0.147431, 0.144108, 0.141513, 0.138829, 0.137079,
14325  0.134878, 0.133182, 0.131182, 0.12969, 0.128339,
14326  0.126384, 0.125898, 0.124632, 0.12298, 0.122455,
14327  0.121482, 0.120658, 0.119536, 0.118789, 0.118305,
14328  0.117603, 0.116485, 0.116057, 0.115905, 0.114533,
14329  0.114044, 0.113913, 0.113213, 0.112177, 0.112168,
14330  0.111738, 0.111572, 0.111469, 0.111315, 0.111392,
14331  0.275712, 0.346705, 0.527916, 0.760943, 0.97686,
14332  1.12899, 1.21394, 1.24432, 1.22479, 1.1757,
14333  1.10205, 1.0307, 0.946687, 0.875147, 0.802108,
14334  0.731304, 0.668469, 0.615246, 0.562611, 0.516599,
14335  0.475121, 0.438573, 0.403351, 0.374394, 0.347537,
14336  0.323005, 0.301923, 0.282464, 0.265902, 0.249006,
14337  0.235052, 0.222999, 0.211356, 0.201374, 0.192243,
14338  0.183729, 0.175801, 0.169398, 0.163212, 0.157492,
14339  0.152672, 0.148152, 0.143886, 0.140199, 0.136694,
14340  0.133487, 0.130717, 0.128369, 0.125776, 0.123623,
14341  0.121969, 0.119997, 0.11849, 0.116715, 0.11558,
14342  0.114203, 0.112758, 0.112054, 0.110995, 0.109741,
14343  0.108735, 0.107969, 0.107153, 0.106534, 0.105907,
14344  0.10492, 0.104334, 0.1035, 0.10282, 0.102904,
14345  0.10193, 0.101549, 0.10054, 0.100343, 0.0998777,
14346  0.0993878, 0.099053, 0.0990919, 0.099072, 0.0986423,
14347  0.259079, 0.327901, 0.506353, 0.727754, 0.93579,
14348  1.08392, 1.16246, 1.18361, 1.16234, 1.115,
14349  1.05112, 0.973718, 0.893263, 0.824041, 0.752203,
14350  0.690222, 0.628626, 0.575899, 0.527741, 0.482838,
14351  0.444681, 0.409662, 0.377944, 0.348739, 0.324533,
14352  0.301478, 0.280735, 0.263144, 0.246918, 0.231606,
14353  0.218428, 0.206791, 0.195517, 0.186926, 0.176955,
14354  0.16948, 0.16255, 0.156021, 0.149609, 0.144708,
14355  0.140259, 0.13571, 0.131917, 0.128457, 0.125312,
14356  0.122095, 0.119615, 0.116804, 0.114798, 0.112753,
14357  0.110723, 0.108968, 0.107547, 0.105977, 0.104654,
14358  0.1035, 0.102203, 0.101322, 0.100176, 0.0993805,
14359  0.0985592, 0.0977741, 0.0970172, 0.0964525, 0.0954664,
14360  0.0950237, 0.0941216, 0.093611, 0.0928545, 0.092077,
14361  0.0915096, 0.0913983, 0.0905693, 0.0900908, 0.0900252,
14362  0.089443, 0.0890571, 0.0892081, 0.0886731, 0.0885358,
14363  0.245513, 0.313263, 0.485416, 0.702275, 0.898384,
14364  1.04447, 1.11225, 1.1325, 1.10687, 1.05747,
14365  0.992978, 0.923027, 0.847522, 0.776832, 0.71156,
14366  0.648904, 0.592696, 0.54096, 0.494426, 0.452204,
14367  0.41738, 0.383013, 0.354483, 0.327452, 0.302362,
14368  0.28147, 0.261636, 0.245981, 0.230881, 0.216099,
14369  0.203508, 0.192513, 0.181723, 0.173027, 0.165319,
14370  0.157756, 0.150526, 0.144837, 0.139107, 0.134126,
14371  0.129925, 0.125585, 0.121614, 0.118535, 0.115522,
14372  0.112558, 0.110021, 0.107518, 0.105383, 0.103387,
14373  0.10144, 0.0998919, 0.0984703, 0.0969238, 0.0959751,
14374  0.0946081, 0.0935492, 0.0925914, 0.0917418, 0.0908271,
14375  0.0901575, 0.0892188, 0.0887951, 0.0880737, 0.0870957,
14376  0.0867109, 0.0862534, 0.0851678, 0.0846675, 0.0842946,
14377  0.0834168, 0.0831522, 0.0826397, 0.0821742, 0.0816937,
14378  0.0812617, 0.0813658, 0.0810485, 0.0806642, 0.0807793,
14379  0.232471, 0.298282, 0.468551, 0.67595, 0.869489,
14380  1.00066, 1.06372, 1.08803, 1.06251, 1.01058,
14381  0.94554, 0.872703, 0.80297, 0.733515, 0.672865,
14382  0.612981, 0.559698, 0.509533, 0.467136, 0.427011,
14383  0.393651, 0.362007, 0.332864, 0.3079, 0.283556,
14384  0.265181, 0.246563, 0.229362, 0.215466, 0.203364,
14385  0.189898, 0.180103, 0.16995, 0.161618, 0.153236,
14386  0.146818, 0.140604, 0.134944, 0.129449, 0.124508,
14387  0.120302, 0.116677, 0.113148, 0.109633, 0.106975,
14388  0.10418, 0.101809, 0.0994732, 0.0971442, 0.0951648,
14389  0.093926, 0.0924511, 0.0908496, 0.0897122, 0.0885095,
14390  0.0874873, 0.0865618, 0.0856776, 0.0847495, 0.0839415,
14391  0.0832479, 0.082626, 0.0821257, 0.0812728, 0.0805921,
14392  0.079865, 0.079616, 0.0788911, 0.0783466, 0.0777773,
14393  0.0773018, 0.0769987, 0.0760413, 0.0758418, 0.0752703,
14394  0.0749599, 0.0751288, 0.0745225, 0.0744836, 0.0746335,
14395  0.220966, 0.28631, 0.451781, 0.657033, 0.836658,
14396  0.966218, 1.03028, 1.04212, 1.01376, 0.961322,
14397  0.899497, 0.830077, 0.76174, 0.699156, 0.635959,
14398  0.579358, 0.529887, 0.483593, 0.442534, 0.403329,
14399  0.370774, 0.341142, 0.312911, 0.289422, 0.268477,
14400  0.24969, 0.232097, 0.215651, 0.20254, 0.189864,
14401  0.179149, 0.169514, 0.159898, 0.151614, 0.144127,
14402  0.137268, 0.13149, 0.126137, 0.121497, 0.11666,
14403  0.112897, 0.108784, 0.105562, 0.10241, 0.0998327,
14404  0.0973123, 0.0950153, 0.0929521, 0.0910544, 0.0889881,
14405  0.0876112, 0.0859689, 0.0847182, 0.0835274, 0.0822722,
14406  0.0817902, 0.0805128, 0.0798917, 0.078954, 0.0780606,
14407  0.0779074, 0.0768245, 0.0764325, 0.0758384, 0.0753755,
14408  0.074974, 0.0740386, 0.0737984, 0.0733969, 0.0728856,
14409  0.0723659, 0.0718595, 0.0714431, 0.0711712, 0.0706774,
14410  0.0702309, 0.069972, 0.069927, 0.0697135, 0.0695171,
14411  0.209472, 0.273904, 0.435964, 0.635978, 0.811843,
14412  0.931199, 0.993172, 0.998671, 0.974633, 0.924232,
14413  0.862072, 0.793685, 0.727472, 0.664065, 0.604501,
14414  0.551614, 0.501484, 0.459476, 0.41831, 0.382982,
14415  0.350992, 0.321698, 0.29681, 0.273566, 0.253798,
14416  0.235747, 0.219578, 0.204987, 0.191717, 0.179975,
14417  0.16889, 0.159699, 0.150949, 0.142852, 0.135775,
14418  0.129884, 0.124155, 0.118972, 0.114112, 0.109923,
14419  0.105961, 0.102586, 0.0990244, 0.0961715, 0.0937959,
14420  0.091099, 0.0889911, 0.0868775, 0.0852765, 0.0837497,
14421  0.0821288, 0.0808526, 0.079698, 0.0785476, 0.077531,
14422  0.0765095, 0.0760466, 0.0752699, 0.0743837, 0.0737992,
14423  0.0734732, 0.0726835, 0.0722282, 0.0717539, 0.0712261,
14424  0.0707182, 0.0702641, 0.0700788, 0.0695133, 0.0689387,
14425  0.0685677, 0.0681166, 0.0676716, 0.0674608, 0.0668148,
14426  0.0664175, 0.06631, 0.0662883, 0.0661136, 0.0659211,
14427  0.199878, 0.262612, 0.423046, 0.615719, 0.789037,
14428  0.901842, 0.960735, 0.965501, 0.933811, 0.883738,
14429  0.822268, 0.758857, 0.693482, 0.633129, 0.578283,
14430  0.524892, 0.477851, 0.43577, 0.396694, 0.363648,
14431  0.332308, 0.306606, 0.282147, 0.25998, 0.240965,
14432  0.223147, 0.207964, 0.19404, 0.181668, 0.170556,
14433  0.160257, 0.151638, 0.142816, 0.135883, 0.128988,
14434  0.122959, 0.117261, 0.112331, 0.108189, 0.104073,
14435  0.100252, 0.0966797, 0.0938436, 0.091253, 0.0885606,
14436  0.0864898, 0.0844978, 0.082406, 0.0806962, 0.0792175,
14437  0.0778757, 0.0766639, 0.0753397, 0.0743513, 0.0738099,
14438  0.072645, 0.0720604, 0.0714809, 0.070862, 0.07034,
14439  0.0699774, 0.0691953, 0.0690924, 0.068475, 0.0681704,
14440  0.0677029, 0.0674852, 0.0669914, 0.0667958, 0.0661838,
14441  0.0656263, 0.0654505, 0.0650597, 0.0647566, 0.0642399,
14442  0.0640252, 0.0635696, 0.063573, 0.0636241, 0.0634929,
14443  0.190664, 0.25285, 0.41073, 0.602579, 0.76826,
14444  0.875223, 0.928503, 0.931756, 0.899085, 0.84952,
14445  0.789434, 0.727399, 0.665388, 0.60563, 0.54954,
14446  0.501068, 0.456185, 0.414009, 0.378543, 0.346605,
14447  0.317472, 0.291699, 0.268533, 0.247527, 0.229195,
14448  0.212728, 0.197603, 0.184631, 0.172596, 0.162121,
14449  0.152537, 0.144107, 0.136455, 0.129377, 0.122531,
14450  0.116865, 0.111782, 0.107162, 0.102832, 0.0989653,
14451  0.0955576, 0.092429, 0.0892588, 0.0867277, 0.0846786,
14452  0.082427, 0.080406, 0.0786036, 0.0770159, 0.0754735,
14453  0.0745324, 0.0730728, 0.0718385, 0.071127, 0.0704334,
14454  0.0696437, 0.0692243, 0.0687263, 0.0680888, 0.0679176,
14455  0.0673376, 0.067309, 0.0667043, 0.0664034, 0.0660541,
14456  0.0657682, 0.0652824, 0.0652015, 0.0649419, 0.0645506,
14457  0.0640172, 0.0638456, 0.0635185, 0.062932, 0.0628645,
14458  0.0622853, 0.0621252, 0.0621896, 0.0620325, 0.0620512,
14459  0.182117, 0.243899, 0.399779, 0.586008, 0.748062,
14460  0.85175, 0.899333, 0.896634, 0.867918, 0.816689,
14461  0.759886, 0.698664, 0.638311, 0.580486, 0.528438,
14462  0.479323, 0.435976, 0.396549, 0.361878, 0.331303,
14463  0.303475, 0.277502, 0.256888, 0.237461, 0.219817,
14464  0.203708, 0.189386, 0.176459, 0.16537, 0.154551,
14465  0.145264, 0.137867, 0.130035, 0.123241, 0.117481,
14466  0.111567, 0.106722, 0.102436, 0.0983552, 0.0947526,
14467  0.0913605, 0.0884104, 0.0857821, 0.0830836, 0.0809105,
14468  0.0789022, 0.0771295, 0.0753469, 0.0739376, 0.0724631,
14469  0.0714107, 0.0705329, 0.069654, 0.0687355, 0.0680972,
14470  0.0675168, 0.0669308, 0.0665388, 0.0661758, 0.0658417,
14471  0.0654383, 0.0656103, 0.0651649, 0.0648248, 0.0647688,
14472  0.0646414, 0.0643188, 0.0639409, 0.0637899, 0.0634986,
14473  0.0633099, 0.0628912, 0.0626415, 0.0621511, 0.0617896,
14474  0.0616817, 0.0612794, 0.061268, 0.06121, 0.0612672,
14475  0.174087, 0.236648, 0.389991, 0.571964, 0.727121,
14476  0.826996, 0.875395, 0.872161, 0.839373, 0.78837,
14477  0.728875, 0.672503, 0.611307, 0.557852, 0.506304,
14478  0.460044, 0.418916, 0.38023, 0.34664, 0.316829,
14479  0.290202, 0.267384, 0.245794, 0.226616, 0.210491,
14480  0.194625, 0.181082, 0.169113, 0.158711, 0.148697,
14481  0.139461, 0.131897, 0.124605, 0.118081, 0.112388,
14482  0.107423, 0.102749, 0.0984212, 0.0944011, 0.0907726,
14483  0.0878079, 0.084865, 0.0822729, 0.0801266, 0.0780343,
14484  0.0759741, 0.0744459, 0.0728158, 0.0711495, 0.0702927,
14485  0.0691477, 0.0681071, 0.0674162, 0.0666791, 0.066204,
14486  0.065722, 0.065348, 0.0649956, 0.0649609, 0.0644058,
14487  0.0643005, 0.0642197, 0.0640008, 0.0640264, 0.0640866,
14488  0.0637164, 0.0637613, 0.0634247, 0.0633949, 0.0629347,
14489  0.0627982, 0.0624104, 0.0623604, 0.0620295, 0.0617549,
14490  0.0615383, 0.0614179, 0.0613702, 0.061109, 0.0609294,
14491  0.167941, 0.228434, 0.380395, 0.559396, 0.711106,
14492  0.813238, 0.846172, 0.845981, 0.81574, 0.765472,
14493  0.708452, 0.647806, 0.591384, 0.535451, 0.48826,
14494  0.442248, 0.400309, 0.36523, 0.332637, 0.304446,
14495  0.278175, 0.256029, 0.235677, 0.218056, 0.20149,
14496  0.18733, 0.174562, 0.161918, 0.152812, 0.143224,
14497  0.134458, 0.12696, 0.119775, 0.114131, 0.108543,
14498  0.103426, 0.0989283, 0.0948575, 0.0911371, 0.0881095,
14499  0.0848967, 0.0821029, 0.0795775, 0.0775646, 0.0752847,
14500  0.0736394, 0.0719907, 0.0708037, 0.0694092, 0.0684026,
14501  0.0674154, 0.0664343, 0.0658143, 0.0652991, 0.0648309,
14502  0.0645205, 0.0640515, 0.0639577, 0.0639543, 0.063825,
14503  0.0637899, 0.0634883, 0.0638334, 0.0638998, 0.0637606,
14504  0.0636939, 0.0636325, 0.0635307, 0.0635215, 0.0633602,
14505  0.0632027, 0.063083, 0.0627913, 0.0624672, 0.0621965,
14506  0.0619818, 0.0618495, 0.0616912, 0.0615814, 0.0616493,
14507  0.161447, 0.220643, 0.372585, 0.549601, 0.700071,
14508  0.792267, 0.831297, 0.826504, 0.792271, 0.738964,
14509  0.686127, 0.625976, 0.569322, 0.517815, 0.469374,
14510  0.426428, 0.387276, 0.351359, 0.321624, 0.292989,
14511  0.268574, 0.245883, 0.227474, 0.210331, 0.194521,
14512  0.18102, 0.16778, 0.156666, 0.147165, 0.137357,
14513  0.129698, 0.122419, 0.11607, 0.109948, 0.10498,
14514  0.0998968, 0.0958691, 0.0920152, 0.0883238, 0.0852787,
14515  0.0824628, 0.0798181, 0.07751, 0.0752668, 0.0736021,
14516  0.0717028, 0.0703091, 0.0688994, 0.0679443, 0.0670661,
14517  0.0660271, 0.06547, 0.0647581, 0.0643158, 0.0639448,
14518  0.0632462, 0.0636351, 0.0633926, 0.0633553, 0.0634944,
14519  0.0634586, 0.0635581, 0.0638521, 0.0635924, 0.0640271,
14520  0.0641762, 0.064217, 0.0643024, 0.0640698, 0.0640016,
14521  0.064058, 0.0639032, 0.0637625, 0.0634533, 0.0632691,
14522  0.0632462, 0.0631825, 0.0629644, 0.0627738, 0.0628317,
14523  0.15546, 0.214915, 0.365162, 0.541925, 0.686775,
14524  0.775222, 0.808789, 0.802402, 0.77014, 0.71972,
14525  0.663454, 0.60669, 0.551645, 0.499112, 0.453295,
14526  0.410047, 0.372992, 0.340294, 0.311039, 0.283662,
14527  0.260051, 0.238698, 0.220385, 0.203501, 0.187963,
14528  0.174553, 0.161963, 0.151646, 0.141902, 0.133504,
14529  0.125551, 0.118512, 0.112528, 0.106915, 0.101674,
14530  0.0973222, 0.0932678, 0.0891116, 0.0861939, 0.0829074,
14531  0.080305, 0.0777072, 0.0754804, 0.0736711, 0.0720574,
14532  0.0702897, 0.0688079, 0.0678539, 0.0665571, 0.0657274,
14533  0.0650833, 0.0643802, 0.0641366, 0.063849, 0.0634533,
14534  0.0632355, 0.063311, 0.0633038, 0.0633366, 0.063568,
14535  0.063748, 0.0639673, 0.0641949, 0.0646105, 0.064617,
14536  0.0647874, 0.0651703, 0.0651482, 0.0652915, 0.0651565,
14537  0.0650254, 0.0654395, 0.0652614, 0.064975, 0.064683,
14538  0.064622, 0.0645358, 0.0646772, 0.0642769, 0.064212,
14539  0.149225, 0.208845, 0.357076, 0.532606, 0.675183,
14540  0.762567, 0.79155, 0.784271, 0.750556, 0.698184,
14541  0.642254, 0.588589, 0.535245, 0.484085, 0.440041,
14542  0.398513, 0.36194, 0.329613, 0.299958, 0.275058,
14543  0.250824, 0.231041, 0.212462, 0.196117, 0.182293,
14544  0.169151, 0.15773, 0.147306, 0.137854, 0.129503,
14545  0.122112, 0.115213, 0.109286, 0.10408, 0.099387,
14546  0.0948018, 0.0910101, 0.0872379, 0.0840902, 0.0811881,
14547  0.0785312, 0.0762685, 0.0741344, 0.0724265, 0.0706515,
14548  0.0690744, 0.0678474, 0.0668541, 0.065902, 0.0651108,
14549  0.0646029, 0.0638864, 0.0635859, 0.063552, 0.0633335,
14550  0.0632611, 0.0632218, 0.0635108, 0.0635779, 0.0640752,
14551  0.0642376, 0.0648179, 0.0651466, 0.0655973, 0.0660591,
14552  0.0660823, 0.0664709, 0.0666577, 0.067031, 0.0670577,
14553  0.0671218, 0.0669151, 0.0666783, 0.0666463, 0.0667428,
14554  0.06662, 0.066583, 0.0665151, 0.0663371, 0.0664667,
14555  0.144022, 0.203373, 0.351795, 0.524389, 0.663191,
14556  0.747643, 0.775802, 0.764504, 0.730278, 0.68297,
14557  0.627425, 0.571007, 0.518788, 0.471052, 0.426153,
14558  0.386631, 0.351138, 0.319229, 0.291202, 0.266343,
14559  0.24336, 0.224498, 0.206248, 0.190493, 0.176258,
14560  0.164608, 0.153517, 0.143251, 0.134345, 0.126599,
14561  0.118844, 0.112627, 0.106707, 0.101568, 0.0967789,
14562  0.0927714, 0.0888394, 0.0855224, 0.0825238, 0.0798116,
14563  0.0771989, 0.0749092, 0.0728635, 0.0711575, 0.0697821,
14564  0.0681505, 0.0671656, 0.0662551, 0.0652397, 0.0644469,
14565  0.0641568, 0.0637366, 0.0635493, 0.0635615, 0.0632107,
14566  0.0633983, 0.0637369, 0.0638468, 0.0642182, 0.0647588,
14567  0.0652725, 0.0658097, 0.0662272, 0.06697, 0.067314,
14568  0.0677708, 0.0682424, 0.0682493, 0.0690729, 0.0691972,
14569  0.0693082, 0.0693623, 0.0692708, 0.0691366, 0.069209,
14570  0.0692979, 0.0691438, 0.0691862, 0.0689623, 0.0689151,
14571  0.139279, 0.199291, 0.348355, 0.518277, 0.655882,
14572  0.735197, 0.762597, 0.750777, 0.714473, 0.664392,
14573  0.610888, 0.55643, 0.503829, 0.456246, 0.414592,
14574  0.375143, 0.340069, 0.309096, 0.282159, 0.258349,
14575  0.236276, 0.21706, 0.200003, 0.184701, 0.171969,
14576  0.160017, 0.149007, 0.14002, 0.131118, 0.123534,
14577  0.116509, 0.110176, 0.104491, 0.0995513, 0.0947656,
14578  0.0911783, 0.0870846, 0.0839495, 0.0810302, 0.0785327,
14579  0.0760611, 0.0741721, 0.0723075, 0.0703606, 0.0689757,
14580  0.0677212, 0.0666501, 0.0661087, 0.0649304, 0.0645373,
14581  0.0641453, 0.0635707, 0.0634857, 0.0638429, 0.0635352,
14582  0.0640942, 0.0643611, 0.0647665, 0.065277, 0.0658654,
14583  0.066427, 0.0673452, 0.0675698, 0.0682432, 0.0690295,
14584  0.0697818, 0.0701646, 0.0706168, 0.0711327, 0.0710256,
14585  0.0715701, 0.0716212, 0.0717687, 0.0717748, 0.0717905,
14586  0.0719525, 0.0716887, 0.0717096, 0.0716982, 0.0718721,
14587  0.134176, 0.194269, 0.342683, 0.512976, 0.646521,
14588  0.725462, 0.750216, 0.734617, 0.698615, 0.651333,
14589  0.597012, 0.543138, 0.491059, 0.445852, 0.40199,
14590  0.364302, 0.332215, 0.301565, 0.276048, 0.251353,
14591  0.230555, 0.212433, 0.195113, 0.180747, 0.168265,
14592  0.156329, 0.145955, 0.136125, 0.127902, 0.120688,
14593  0.113157, 0.108107, 0.102429, 0.0975975, 0.093481,
14594  0.0894113, 0.0856814, 0.0827076, 0.079934, 0.0773587,
14595  0.0751658, 0.0730854, 0.0713421, 0.0698168, 0.0683168,
14596  0.0673307, 0.0662902, 0.0655828, 0.0649987, 0.0644401,
14597  0.0640359, 0.0640142, 0.0641263, 0.0640576, 0.064161,
14598  0.0645945, 0.0653815, 0.065661, 0.0664545, 0.0671858,
14599  0.0677601, 0.068557, 0.0696796, 0.0704193, 0.0710446,
14600  0.0717947, 0.0725424, 0.0729695, 0.0736486, 0.0743307,
14601  0.0743635, 0.0742751, 0.0744596, 0.0748085, 0.074982,
14602  0.0751635, 0.074566, 0.0747433, 0.0747711, 0.0747837,
14603  0.129773, 0.189926, 0.338331, 0.506719, 0.639631,
14604  0.716147, 0.738804, 0.724734, 0.687416, 0.639425,
14605  0.583941, 0.530475, 0.480779, 0.433471, 0.392755,
14606  0.356151, 0.322681, 0.293919, 0.268145, 0.245101,
14607  0.225086, 0.207095, 0.190863, 0.176189, 0.164073,
14608  0.152748, 0.142554, 0.133746, 0.125527, 0.11823,
14609  0.112041, 0.106116, 0.100817, 0.0960559, 0.0919192,
14610  0.0882632, 0.0848376, 0.081635, 0.0788911, 0.0765861,
14611  0.0745934, 0.0727235, 0.0709268, 0.0695682, 0.0682771,
14612  0.0670573, 0.0662551, 0.0656427, 0.0651447, 0.0649449,
14613  0.0643322, 0.0645445, 0.0644035, 0.064577, 0.0649747,
14614  0.0655523, 0.0663207, 0.0667405, 0.067754, 0.0684956,
14615  0.0696914, 0.0703972, 0.0713527, 0.0723277, 0.0735605,
14616  0.0742678, 0.07499, 0.0755444, 0.0764073, 0.0769705,
14617  0.0774365, 0.0775356, 0.0779798, 0.0781095, 0.0783123,
14618  0.0780816, 0.0782082, 0.0782036, 0.0781335, 0.0784126,
14619  0.125875, 0.187321, 0.335655, 0.502838, 0.633991,
14620  0.708273, 0.728124, 0.711358, 0.673681, 0.62532,
14621  0.571495, 0.51907, 0.471189, 0.424823, 0.384206,
14622  0.350259, 0.31603, 0.287558, 0.262216, 0.240019,
14623  0.21975, 0.202293, 0.187371, 0.17301, 0.160502,
14624  0.14962, 0.140394, 0.131906, 0.123802, 0.116634,
14625  0.110615, 0.104364, 0.0993172, 0.0950222, 0.0910204,
14626  0.086974, 0.0839247, 0.0808438, 0.0781739, 0.0760127,
14627  0.0739128, 0.0720806, 0.0705878, 0.0691602, 0.06808,
14628  0.0670036, 0.0663565, 0.0657537, 0.0652782, 0.0651356,
14629  0.0651489, 0.064853, 0.065311, 0.0653922, 0.0659527,
14630  0.0669124, 0.0672884, 0.0682718, 0.0694073, 0.0702832,
14631  0.071519, 0.0723552, 0.0734213, 0.0747955, 0.0758563,
14632  0.0765652, 0.077838, 0.0785579, 0.0795176, 0.079939,
14633  0.0802718, 0.0812754, 0.0813524, 0.0815728, 0.0818173,
14634  0.0819984, 0.0819252, 0.0819866, 0.081921, 0.0817608,
14635  0.122224, 0.183105, 0.33228, 0.499478, 0.627715,
14636  0.697818, 0.718053, 0.702428, 0.661517, 0.61154,
14637  0.559061, 0.510098, 0.460379, 0.415671, 0.375951,
14638  0.341284, 0.308631, 0.280513, 0.25621, 0.235287,
14639  0.215135, 0.19767, 0.182993, 0.169998, 0.158103,
14640  0.147079, 0.137401, 0.129489, 0.121097, 0.114507,
14641  0.108458, 0.103123, 0.0981363, 0.0937304, 0.0898067,
14642  0.0863147, 0.0832532, 0.0804823, 0.0777926, 0.0756817,
14643  0.0737839, 0.0719407, 0.0703042, 0.0693539, 0.0682421,
14644  0.067251, 0.0664976, 0.066082, 0.065905, 0.0654524,
14645  0.0655897, 0.0655466, 0.065894, 0.0662768, 0.0671752,
14646  0.0679343, 0.0685433, 0.0697368, 0.0709356, 0.0717157,
14647  0.0732211, 0.0744615, 0.0757644, 0.07725, 0.0782334,
14648  0.0797388, 0.080652, 0.0816583, 0.0824895, 0.0835575,
14649  0.0840323, 0.0846347, 0.0848097, 0.0851922, 0.0853161,
14650  0.0859796, 0.0858862, 0.0857847, 0.0855792, 0.0856913,
14651  0.118527, 0.179701, 0.33002, 0.495837, 0.623948,
14652  0.69625, 0.711476, 0.690165, 0.651459, 0.603102,
14653  0.549715, 0.50066, 0.44997, 0.408179, 0.36883,
14654  0.334033, 0.304223, 0.275042, 0.25148, 0.23068,
14655  0.211495, 0.195016, 0.179912, 0.166693, 0.155175,
14656  0.144792, 0.135438, 0.127195, 0.119427, 0.113474,
14657  0.107296, 0.102068, 0.0970054, 0.0927798, 0.0890472,
14658  0.0857775, 0.0824567, 0.0800324, 0.0772389, 0.0754994,
14659  0.0736337, 0.0719956, 0.0702584, 0.0693494, 0.0682344,
14660  0.0674993, 0.0671107, 0.0666013, 0.0665296, 0.06617,
14661  0.0665948, 0.0663527, 0.0670459, 0.0676331, 0.068382,
14662  0.0691602, 0.0702672, 0.07149, 0.0724345, 0.0740226,
14663  0.0753397, 0.0767863, 0.0783619, 0.0801185, 0.0811187,
14664  0.0827351, 0.0836407, 0.085199, 0.0858431, 0.0870686,
14665  0.0875563, 0.0882316, 0.0892374, 0.0893004, 0.0895349,
14666  0.0898319, 0.0898559, 0.0900885, 0.090026, 0.0901957,
14667  0.115658, 0.177426, 0.327939, 0.4956, 0.621725,
14668  0.688319, 0.705104, 0.68297, 0.642719, 0.591765,
14669  0.540743, 0.490392, 0.443308, 0.400812, 0.362104,
14670  0.327831, 0.297496, 0.270739, 0.247818, 0.225958,
14671  0.20748, 0.1915, 0.177458, 0.164381, 0.152742,
14672  0.142377, 0.133849, 0.125374, 0.118264, 0.111655,
14673  0.105842, 0.100942, 0.0962275, 0.0921613, 0.0885572,
14674  0.0852151, 0.0817921, 0.0794692, 0.077412, 0.0752825,
14675  0.0735628, 0.0718896, 0.0706393, 0.0695343, 0.0686603,
14676  0.0678318, 0.0675862, 0.0672061, 0.0669121, 0.0667992,
14677  0.0670501, 0.0676629, 0.0681387, 0.0685345, 0.0695736,
14678  0.0706107, 0.0720147, 0.0729142, 0.0742636, 0.0759478,
14679  0.0776454, 0.0792385, 0.080477, 0.0823583, 0.0838824,
14680  0.0853111, 0.0870457, 0.0881618, 0.0896359, 0.0906181,
14681  0.0917251, 0.0923386, 0.0928019, 0.0934783, 0.0938451,
14682  0.0938661, 0.0942707, 0.0943831, 0.0944438, 0.0944403,
14683  0.111792, 0.174379, 0.327305, 0.49409, 0.618945,
14684  0.684079, 0.698313, 0.676377, 0.633526, 0.585718,
14685  0.534192, 0.482869, 0.435469, 0.393281, 0.355781,
14686  0.322625, 0.291604, 0.265846, 0.243341, 0.222561,
14687  0.205405, 0.188597, 0.174984, 0.162001, 0.151463,
14688  0.140851, 0.132634, 0.124195, 0.117033, 0.110706,
14689  0.10497, 0.100233, 0.0959465, 0.0917579, 0.0880016,
14690  0.0848376, 0.0820205, 0.0792027, 0.0772111, 0.0752855,
14691  0.0734675, 0.0720658, 0.0708601, 0.0697974, 0.0686253,
14692  0.0684106, 0.0679797, 0.0677056, 0.0678158, 0.0679301,
14693  0.0682459, 0.0686344, 0.0696636, 0.0699728, 0.071013,
14694  0.0722885, 0.0736104, 0.0748573, 0.0766163, 0.0782902,
14695  0.0797674, 0.0817021, 0.083193, 0.0852078, 0.0869367,
14696  0.0886197, 0.0901602, 0.09218, 0.0930962, 0.0943912,
14697  0.0956689, 0.0964777, 0.0974401, 0.097914, 0.0983826,
14698  0.0985794, 0.0988379, 0.0986957, 0.0990781, 0.0988261,
14699  0.108657, 0.172507, 0.326545, 0.492893, 0.618148,
14700  0.680895, 0.693322, 0.671447, 0.629305, 0.577524,
14701  0.525228, 0.475898, 0.430512, 0.387657, 0.349909,
14702  0.317885, 0.288879, 0.262111, 0.23937, 0.219573,
14703  0.202288, 0.186929, 0.171988, 0.160147, 0.149695,
14704  0.139661, 0.130789, 0.122818, 0.115838, 0.10996,
14705  0.104358, 0.0993866, 0.0949212, 0.0911066, 0.0876409,
14706  0.084783, 0.0817795, 0.0795405, 0.0771127, 0.0752367,
14707  0.0736535, 0.0723598, 0.0708795, 0.0704288, 0.0696033,
14708  0.0689459, 0.068631, 0.0685345, 0.0683984, 0.0686504,
14709  0.068989, 0.0698721, 0.070433, 0.0714488, 0.0726732,
14710  0.0741046, 0.0754186, 0.076749, 0.0786776, 0.0804488,
14711  0.0821932, 0.0845024, 0.0867971, 0.0881706, 0.0907097,
14712  0.0919119, 0.0940648, 0.0956212, 0.0972914, 0.0982557,
14713  0.0996554, 0.100928, 0.101119, 0.102153, 0.102837,
14714  0.103107, 0.103464, 0.103287, 0.103638, 0.103611,
14715  0.105932, 0.170562, 0.327013, 0.492706, 0.617965,
14716  0.678825, 0.688987, 0.663146, 0.622167, 0.568925,
14717  0.519356, 0.47037, 0.422726, 0.382014, 0.345508,
14718  0.313202, 0.284241, 0.258777, 0.236413, 0.21618,
14719  0.199121, 0.184376, 0.170129, 0.157753, 0.147892,
14720  0.13819, 0.129729, 0.122078, 0.115216, 0.109116,
14721  0.10408, 0.0989794, 0.094761, 0.0909815, 0.0876642,
14722  0.084658, 0.0817246, 0.0793178, 0.0774231, 0.0755517,
14723  0.0740142, 0.0724776, 0.0716959, 0.0707735, 0.0699842,
14724  0.0697253, 0.0694775, 0.0691614, 0.0694699, 0.0697829,
14725  0.0700109, 0.0710973, 0.0718126, 0.0728993, 0.073909,
14726  0.0757766, 0.0772935, 0.0789601, 0.080872, 0.0826477,
14727  0.0848719, 0.0874282, 0.0893881, 0.0914833, 0.0937654,
14728  0.0959473, 0.097752, 0.0995628, 0.10138, 0.102404,
14729  0.104056, 0.105392, 0.105785, 0.106771, 0.10783,
14730  0.107704, 0.108137, 0.108523, 0.108576, 0.108389,
14731  0.10312, 0.16862, 0.324877, 0.494891, 0.615517,
14732  0.676892, 0.684217, 0.65886, 0.616543, 0.565539,
14733  0.514044, 0.462976, 0.4186, 0.37568, 0.341527,
14734  0.309096, 0.279899, 0.255277, 0.233658, 0.214318,
14735  0.197115, 0.181358, 0.169073, 0.156596, 0.146206,
14736  0.136823, 0.128178, 0.121122, 0.114266, 0.109158,
14737  0.103378, 0.0984669, 0.0945227, 0.0906548, 0.0875124,
14738  0.0847842, 0.0817742, 0.0794497, 0.0776099, 0.0758304,
14739  0.0742548, 0.0728719, 0.0721317, 0.0712067, 0.0707651,
14740  0.0703106, 0.0702992, 0.0702416, 0.0704654, 0.0707202,
14741  0.0713832, 0.0721725, 0.0730915, 0.0743689, 0.0759875,
14742  0.0772927, 0.0791897, 0.0807416, 0.082923, 0.0854156,
14743  0.0875936, 0.0899939, 0.0921167, 0.0943885, 0.0968959,
14744  0.0994983, 0.101419, 0.103966, 0.105512, 0.106629,
14745  0.108644, 0.109558, 0.11073, 0.111745, 0.112626,
14746  0.112948, 0.113174, 0.113984, 0.113737, 0.113309,
14747  0.10042, 0.167144, 0.32574, 0.494251, 0.617275,
14748  0.674634, 0.681978, 0.656038, 0.61199, 0.561128,
14749  0.510792, 0.459579, 0.414097, 0.373617, 0.337035,
14750  0.305503, 0.278091, 0.252868, 0.231059, 0.211371,
14751  0.195684, 0.180326, 0.166859, 0.155393, 0.144934,
14752  0.13577, 0.127462, 0.120052, 0.113958, 0.108123,
14753  0.103048, 0.0987487, 0.0944445, 0.0904992, 0.0873679,
14754  0.0845501, 0.0818218, 0.0798737, 0.0779341, 0.0761964,
14755  0.0749233, 0.073546, 0.0726522, 0.0718179, 0.0714477,
14756  0.0713001, 0.0709741, 0.0712181, 0.0713794, 0.0719907,
14757  0.0722679, 0.0737916, 0.0749763, 0.0758125, 0.0773068,
14758  0.0789552, 0.081169, 0.0832182, 0.0855472, 0.0876771,
14759  0.0902056, 0.0922673, 0.0952201, 0.0975827, 0.100255,
14760  0.102839, 0.105497, 0.107343, 0.109374, 0.111487,
14761  0.113093, 0.114755, 0.115515, 0.116515, 0.117123,
14762  0.117757, 0.118029, 0.118851, 0.118457, 0.119133,
14763  0.0981546, 0.165653, 0.324993, 0.497785, 0.617606,
14764  0.674936, 0.678177, 0.652114, 0.609321, 0.556216,
14765  0.504336, 0.454202, 0.408423, 0.369312, 0.333335,
14766  0.303188, 0.274779, 0.249036, 0.228796, 0.210078,
14767  0.193425, 0.178442, 0.1657, 0.154518, 0.14462,
14768  0.134814, 0.12716, 0.119605, 0.113533, 0.107629,
14769  0.102727, 0.0979358, 0.0946287, 0.0906445, 0.0876974,
14770  0.0847171, 0.081945, 0.080027, 0.0782048, 0.0765461,
14771  0.0752847, 0.0740573, 0.0729245, 0.072409, 0.0722499,
14772  0.0719964, 0.0719739, 0.0720158, 0.0726034, 0.0732169,
14773  0.0736322, 0.0751784, 0.0759513, 0.0776694, 0.0793273,
14774  0.0811206, 0.0830306, 0.0852265, 0.0874316, 0.0899642,
14775  0.0926806, 0.0957269, 0.098208, 0.10104, 0.104017,
14776  0.106495, 0.109684, 0.111912, 0.113989, 0.116106,
14777  0.117552, 0.119356, 0.120278, 0.121556, 0.122886,
14778  0.122841, 0.123294, 0.124082, 0.124616, 0.124457,
14779  0.0957055, 0.164648, 0.327387, 0.498758, 0.619502,
14780  0.675286, 0.678188, 0.647859, 0.604345, 0.552712,
14781  0.499989, 0.450984, 0.404949, 0.366989, 0.329991,
14782  0.298103, 0.271957, 0.246821, 0.225935, 0.207928,
14783  0.191815, 0.177636, 0.164532, 0.153063, 0.14294,
14784  0.134189, 0.126055, 0.119429, 0.1129, 0.107116,
14785  0.102618, 0.0980288, 0.0943671, 0.0906128, 0.0878987,
14786  0.0849638, 0.0827621, 0.0806352, 0.0785514, 0.0768763,
14787  0.0755841, 0.0746838, 0.0741256, 0.0732185, 0.0730755,
14788  0.0726888, 0.072894, 0.0733775, 0.0732021, 0.0738747,
14789  0.075255, 0.0765, 0.0778063, 0.0792431, 0.0811698,
14790  0.0828422, 0.0848063, 0.0876573, 0.090108, 0.092811,
14791  0.0954428, 0.0987464, 0.101758, 0.104487, 0.107513,
14792  0.110708, 0.113491, 0.116031, 0.118566, 0.120578,
14793  0.123138, 0.12427, 0.125796, 0.12708, 0.128155,
14794  0.128656, 0.129588, 0.12932, 0.130236, 0.12974,
14795  0.0932964, 0.163493, 0.328458, 0.501865, 0.619765,
14796  0.675576, 0.678596, 0.646475, 0.599414, 0.549708,
14797  0.496123, 0.447739, 0.403698, 0.363831, 0.328138,
14798  0.296252, 0.269753, 0.246196, 0.225133, 0.20612,
14799  0.190105, 0.176224, 0.163218, 0.152443, 0.142439,
14800  0.133562, 0.125228, 0.118977, 0.112881, 0.107122,
14801  0.10257, 0.0983971, 0.0942093, 0.0911493, 0.0879151,
14802  0.0853104, 0.0827408, 0.0808377, 0.0793483, 0.0772851,
14803  0.0762605, 0.0753808, 0.0748569, 0.0742701, 0.0739887,
14804  0.0738911, 0.0738915, 0.0742148, 0.0745462, 0.0755017,
14805  0.0763616, 0.0777831, 0.0792816, 0.0807424, 0.0827229,
14806  0.0847731, 0.0871342, 0.0898609, 0.0926333, 0.0949684,
14807  0.0983003, 0.101197, 0.104692, 0.108256, 0.111526,
14808  0.114236, 0.117417, 0.120076, 0.122641, 0.125501,
14809  0.127714, 0.129502, 0.131067, 0.13259, 0.133229,
14810  0.134417, 0.134665, 0.13473, 0.135821, 0.135,
14811  0.0914929, 0.162395, 0.330999, 0.503204, 0.623433,
14812  0.675771, 0.676766, 0.646197, 0.595754, 0.545593,
14813  0.494396, 0.443789, 0.39984, 0.360052, 0.325664,
14814  0.294575, 0.268425, 0.243425, 0.222828, 0.205375,
14815  0.189177, 0.174589, 0.162682, 0.151164, 0.142189,
14816  0.132887, 0.125651, 0.118899, 0.112642, 0.107449,
14817  0.102503, 0.0986518, 0.0942463, 0.0905609, 0.0878781,
14818  0.0855525, 0.0831949, 0.081203, 0.0796549, 0.0783089,
14819  0.0770132, 0.0760279, 0.0754472, 0.0749248, 0.0745446,
14820  0.0745309, 0.074844, 0.0751601, 0.0759417, 0.0765823,
14821  0.0779516, 0.079224, 0.0806482, 0.0825002, 0.0842431,
14822  0.086693, 0.0893457, 0.0919958, 0.0951488, 0.0979773,
14823  0.101264, 0.104551, 0.108187, 0.111493, 0.115151,
14824  0.118257, 0.12161, 0.124555, 0.127792, 0.130083,
14825  0.1327, 0.134547, 0.136163, 0.137901, 0.139159,
14826  0.139792, 0.140317, 0.141514, 0.141352, 0.141286,
14827  0.0890586, 0.161501, 0.330791, 0.507528, 0.625724,
14828  0.677833, 0.678276, 0.643425, 0.596692, 0.543641,
14829  0.489004, 0.441139, 0.396587, 0.357712, 0.322243,
14830  0.292335, 0.266412, 0.24342, 0.222099, 0.203738,
14831  0.188548, 0.173914, 0.162276, 0.151268, 0.141281,
14832  0.132583, 0.124792, 0.118795, 0.112668, 0.10721,
14833  0.102678, 0.0983956, 0.0946508, 0.0913239, 0.0882705,
14834  0.0861035, 0.0837318, 0.0818184, 0.0802188, 0.079052,
14835  0.0777423, 0.0769629, 0.0763009, 0.0758685, 0.0755009,
14836  0.0758171, 0.0758129, 0.0761953, 0.0770857, 0.0782582,
14837  0.0791382, 0.0803279, 0.0822908, 0.0841787, 0.0862019,
14838  0.089099, 0.0912076, 0.0945151, 0.0971038, 0.100912,
14839  0.104158, 0.107778, 0.111396, 0.115505, 0.118577,
14840  0.122135, 0.126037, 0.129113, 0.131822, 0.134655,
14841  0.137586, 0.140427, 0.14196, 0.143566, 0.144053,
14842  0.145688, 0.146059, 0.146505, 0.147088, 0.147545,
14843  0.0873229, 0.161103, 0.332802, 0.511276, 0.628634,
14844  0.681055, 0.676995, 0.643676, 0.59469, 0.541738,
14845  0.488836, 0.440205, 0.393876, 0.356384, 0.322179,
14846  0.291349, 0.263793, 0.240648, 0.222163, 0.20184,
14847  0.187304, 0.173501, 0.161032, 0.150433, 0.140622,
14848  0.132623, 0.124775, 0.118478, 0.112497, 0.107717,
14849  0.102762, 0.0987064, 0.094806, 0.0918517, 0.0889286,
14850  0.0864135, 0.0843979, 0.0822424, 0.0809082, 0.0794337,
14851  0.0784004, 0.0775325, 0.0769167, 0.0765884, 0.076516,
14852  0.0764836, 0.0771394, 0.0771707, 0.0779665, 0.0791203,
14853  0.0803328, 0.0822783, 0.0840734, 0.0857943, 0.0882003,
14854  0.0907371, 0.0937452, 0.0962081, 0.100113, 0.10338,
14855  0.106862, 0.11067, 0.1148, 0.118346, 0.122377,
14856  0.126674, 0.130137, 0.133253, 0.137388, 0.139835,
14857  0.142955, 0.145285, 0.147619, 0.149112, 0.150589,
14858  0.151473, 0.152464, 0.152753, 0.153156, 0.153441,
14859  0.0854865, 0.160893, 0.336018, 0.513484, 0.633442,
14860  0.683789, 0.678901, 0.645705, 0.594625, 0.540057,
14861  0.486586, 0.437349, 0.393487, 0.354604, 0.319404,
14862  0.288885, 0.262984, 0.240159, 0.220117, 0.202493,
14863  0.186619, 0.172629, 0.16113, 0.150441, 0.141064,
14864  0.132283, 0.124824, 0.11932, 0.112874, 0.10794,
14865  0.103402, 0.0991113, 0.0952514, 0.0923584, 0.0898353,
14866  0.0867342, 0.0846999, 0.0832872, 0.0816396, 0.080321,
14867  0.0791836, 0.0784015, 0.0780904, 0.0778566, 0.0775634,
14868  0.0776603, 0.0780545, 0.0786101, 0.0793449, 0.0802551,
14869  0.0818325, 0.0833421, 0.0856589, 0.0878095, 0.0905091,
14870  0.0926818, 0.095903, 0.0989523, 0.10237, 0.105881,
14871  0.109923, 0.113759, 0.11807, 0.122054, 0.126552,
14872  0.130779, 0.134759, 0.138079, 0.14146, 0.145125,
14873  0.148276, 0.150747, 0.152792, 0.154532, 0.156701,
14874  0.157228, 0.158168, 0.159528, 0.159878, 0.159514,
14875  0.083752, 0.160404, 0.338853, 0.520934, 0.640115,
14876  0.685848, 0.680445, 0.644637, 0.594812, 0.539279,
14877  0.486888, 0.435881, 0.390822, 0.353185, 0.316825,
14878  0.28858, 0.262379, 0.23905, 0.218892, 0.201698,
14879  0.18601, 0.17251, 0.160478, 0.150223, 0.141117,
14880  0.1322, 0.125447, 0.118819, 0.112981, 0.108048,
14881  0.103471, 0.0993062, 0.0956674, 0.0925109, 0.0898655,
14882  0.0873965, 0.0855445, 0.0835125, 0.0820987, 0.0809853,
14883  0.0800526, 0.0793148, 0.0787234, 0.0784149, 0.0783855,
14884  0.0787245, 0.078951, 0.0797052, 0.0806642, 0.0820335,
14885  0.0832117, 0.0851396, 0.0869233, 0.0893659, 0.0917651,
14886  0.0948297, 0.0973817, 0.101139, 0.104968, 0.109076,
14887  0.112711, 0.116792, 0.121503, 0.126169, 0.129874,
14888  0.134183, 0.139278, 0.143313, 0.146605, 0.1503,
14889  0.153352, 0.156104, 0.159117, 0.160839, 0.162578,
14890  0.163211, 0.165208, 0.165446, 0.166075, 0.166126,
14891  0.0818287, 0.161, 0.342371, 0.524358, 0.64328,
14892  0.691503, 0.682279, 0.64556, 0.592101, 0.538585,
14893  0.483124, 0.435511, 0.390543, 0.350721, 0.316883,
14894  0.287257, 0.261109, 0.237637, 0.218168, 0.201324,
14895  0.185509, 0.172503, 0.160512, 0.15018, 0.141249,
14896  0.13234, 0.12535, 0.118944, 0.113484, 0.108564,
14897  0.103904, 0.0999571, 0.0961066, 0.0932297, 0.0903764,
14898  0.087795, 0.0858606, 0.0843186, 0.0829291, 0.0818188,
14899  0.0804568, 0.0799878, 0.0796739, 0.0795653, 0.0795218,
14900  0.0797357, 0.0799439, 0.0810264, 0.0820693, 0.083251,
14901  0.084873, 0.0866015, 0.0887017, 0.0910757, 0.0935851,
14902  0.096743, 0.100064, 0.10378, 0.107457, 0.11165,
14903  0.116071, 0.120633, 0.125002, 0.129859, 0.134442,
14904  0.138939, 0.143229, 0.147953, 0.151421, 0.155555,
14905  0.158981, 0.161989, 0.164578, 0.166166, 0.168496,
14906  0.169938, 0.170818, 0.171184, 0.172386, 0.172617,
14907  0.0803984, 0.160552, 0.346334, 0.530147, 0.647585,
14908  0.695114, 0.685383, 0.64673, 0.593973, 0.53619,
14909  0.484192, 0.435251, 0.387977, 0.349406, 0.315712,
14910  0.285886, 0.260978, 0.237214, 0.218109, 0.200344,
14911  0.185518, 0.171978, 0.160334, 0.149455, 0.141288,
14912  0.132895, 0.1251, 0.119221, 0.113884, 0.108895,
14913  0.104317, 0.100136, 0.0968696, 0.0936648, 0.0905754,
14914  0.0885461, 0.0866389, 0.0849947, 0.0837703, 0.0825074,
14915  0.0814596, 0.0809837, 0.0807351, 0.0803183, 0.0805967,
14916  0.08057, 0.0814539, 0.0824357, 0.0832262, 0.0844574,
14917  0.086354, 0.0882949, 0.0904603, 0.0930661, 0.0963289,
14918  0.0988513, 0.102251, 0.106456, 0.110093, 0.114377,
14919  0.118946, 0.124125, 0.128908, 0.132912, 0.138084,
14920  0.143234, 0.147678, 0.152571, 0.156826, 0.160796,
14921  0.164399, 0.167504, 0.170367, 0.172664, 0.174603,
14922  0.176495, 0.177313, 0.177447, 0.178588, 0.178509,
14923  0.078829, 0.161045, 0.350144, 0.535733, 0.654692,
14924  0.69908, 0.68676, 0.649491, 0.593249, 0.538143,
14925  0.48391, 0.431827, 0.388416, 0.349188, 0.314383,
14926  0.285399, 0.26006, 0.23723, 0.217264, 0.201188,
14927  0.184789, 0.171633, 0.160112, 0.149863, 0.140887,
14928  0.132813, 0.125828, 0.119453, 0.113639, 0.108299,
14929  0.104348, 0.100772, 0.0970694, 0.0943835, 0.0917205,
14930  0.0894975, 0.0876295, 0.0856612, 0.0844006, 0.0832796,
14931  0.0825292, 0.081709, 0.0818115, 0.0814398, 0.0815671,
14932  0.0816255, 0.0826729, 0.0835282, 0.0844505, 0.0858675,
14933  0.0876413, 0.0896851, 0.0918738, 0.0946173, 0.0972212,
14934  0.101082, 0.104451, 0.107884, 0.112486, 0.116569,
14935  0.121845, 0.126759, 0.131858, 0.137414, 0.142383,
14936  0.147458, 0.152587, 0.156801, 0.162228, 0.166215,
14937  0.170275, 0.174567, 0.176528, 0.179307, 0.180172,
14938  0.182295, 0.183659, 0.184376, 0.184903, 0.185429,
14939  0.0771211, 0.161203, 0.353857, 0.541826, 0.660877,
14940  0.704529, 0.69047, 0.647097, 0.595357, 0.536789,
14941  0.482628, 0.432338, 0.388076, 0.349673, 0.315215,
14942  0.285013, 0.25975, 0.237151, 0.217254, 0.200372,
14943  0.185149, 0.172184, 0.160085, 0.14997, 0.141537,
14944  0.13292, 0.125943, 0.120335, 0.114559, 0.109644,
14945  0.104949, 0.101244, 0.0976902, 0.0946039, 0.0921598,
14946  0.0897404, 0.0880367, 0.0864574, 0.0850599, 0.0841638,
14947  0.0833478, 0.0827263, 0.0824441, 0.0824251, 0.0824197,
14948  0.0830935, 0.0837528, 0.0844879, 0.0858682, 0.0872657,
14949  0.0889225, 0.0909388, 0.0938017, 0.0968258, 0.0990046,
14950  0.103027, 0.107029, 0.111248, 0.115361, 0.120089,
14951  0.125089, 0.13031, 0.135545, 0.140226, 0.146033,
14952  0.15187, 0.15683, 0.162102, 0.167573, 0.171165,
14953  0.174906, 0.178638, 0.182252, 0.184975, 0.187211,
14954  0.190259, 0.191369, 0.192043, 0.191749, 0.192539,
14955  0.0757782, 0.161848, 0.358676, 0.549696, 0.66901,
14956  0.70637, 0.693848, 0.650719, 0.594049, 0.538139,
14957  0.481557, 0.433452, 0.386463, 0.34836, 0.314049,
14958  0.283549, 0.259708, 0.236838, 0.217439, 0.199246,
14959  0.184881, 0.172479, 0.160719, 0.150405, 0.141183,
14960  0.13318, 0.126604, 0.12027, 0.114805, 0.109816,
14961  0.105504, 0.101961, 0.0984749, 0.0953894, 0.0927264,
14962  0.090887, 0.0888546, 0.0869576, 0.0856292, 0.0845272,
14963  0.0841825, 0.0835186, 0.0833634, 0.0833695, 0.0836925,
14964  0.0838927, 0.0850187, 0.0857348, 0.0871978, 0.0888317,
14965  0.0908237, 0.0927733, 0.0954047, 0.09825, 0.101395,
14966  0.104887, 0.108929, 0.112932, 0.117221, 0.12242,
14967  0.128086, 0.133289, 0.138985, 0.14466, 0.149787,
14968  0.15591, 0.161555, 0.166586, 0.171415, 0.176697,
14969  0.181496, 0.185609, 0.188557, 0.191111, 0.194316,
14970  0.195834, 0.19705, 0.198263, 0.199215, 0.199044,
14971  0.0744257, 0.16229, 0.363329, 0.555065, 0.671816,
14972  0.714149, 0.699663, 0.654151, 0.597142, 0.539843,
14973  0.484421, 0.433242, 0.386502, 0.348712, 0.314549,
14974  0.28362, 0.25829, 0.23689, 0.21677, 0.200144,
14975  0.184874, 0.172382, 0.160311, 0.150913, 0.141669,
14976  0.134103, 0.126665, 0.120792, 0.115558, 0.110007,
14977  0.106046, 0.102429, 0.0990263, 0.0956983, 0.093272,
14978  0.0915577, 0.0896687, 0.0882739, 0.0867712, 0.0855167,
14979  0.0850583, 0.0846458, 0.084536, 0.0843121, 0.0844246,
14980  0.0851152, 0.086004, 0.0870968, 0.0882277, 0.0900378,
14981  0.092154, 0.0940373, 0.0967636, 0.10004, 0.102881,
14982  0.106703, 0.111099, 0.115689, 0.120483, 0.12522,
14983  0.131031, 0.1366, 0.142232, 0.148574, 0.154707,
14984  0.160244, 0.166195, 0.172011, 0.177668, 0.18319,
14985  0.186704, 0.191083, 0.194904, 0.197787, 0.200442,
14986  0.202552, 0.203568, 0.20532, 0.205572, 0.205936,
14987  0.0729843, 0.162913, 0.368412, 0.562916, 0.681948,
14988  0.721493, 0.702805, 0.656172, 0.60012, 0.538764,
14989  0.482057, 0.433822, 0.388744, 0.347541, 0.313648,
14990  0.284362, 0.258818, 0.23724, 0.216931, 0.200761,
14991  0.18535, 0.172469, 0.160987, 0.151306, 0.142114,
14992  0.134284, 0.127705, 0.120864, 0.115495, 0.110721,
14993  0.106627, 0.102798, 0.0994983, 0.0966748, 0.0937342,
14994  0.0923878, 0.0901835, 0.0887665, 0.0877347, 0.0865878,
14995  0.0857973, 0.085718, 0.0850751, 0.0854968, 0.0858446,
14996  0.0863243, 0.0872955, 0.0883223, 0.0895947, 0.0914696,
14997  0.0934966, 0.095953, 0.0988025, 0.101773, 0.105093,
14998  0.10918, 0.113452, 0.117654, 0.122644, 0.12818,
14999  0.133918, 0.139082, 0.145394, 0.152538, 0.157932,
15000  0.164843, 0.170989, 0.175996, 0.182957, 0.188177,
15001  0.192968, 0.196689, 0.201005, 0.20449, 0.206846,
15002  0.209231, 0.210176, 0.21284, 0.212473, 0.212735,
15003  0.0717028, 0.16429, 0.373763, 0.572796, 0.69177,
15004  0.727918, 0.705612, 0.660027, 0.600223, 0.540598,
15005  0.484745, 0.431099, 0.388637, 0.348678, 0.314072,
15006  0.284523, 0.258753, 0.236309, 0.217459, 0.200646,
15007  0.184879, 0.172766, 0.161648, 0.15114, 0.142746,
15008  0.134761, 0.127334, 0.12169, 0.11645, 0.111875,
15009  0.107142, 0.10351, 0.100341, 0.0974408, 0.0950161,
15010  0.0928316, 0.0908271, 0.0897015, 0.0880489, 0.0872039,
15011  0.0870346, 0.0862232, 0.0861085, 0.0861233, 0.0864924,
15012  0.0875917, 0.087938, 0.0896493, 0.0904736, 0.0927798,
15013  0.0947877, 0.0973535, 0.100229, 0.103754, 0.107176,
15014  0.110967, 0.115506, 0.12039, 0.1257, 0.13108,
15015  0.136568, 0.143121, 0.149493, 0.15593, 0.162479,
15016  0.168882, 0.175561, 0.181492, 0.188013, 0.192976,
15017  0.199045, 0.203689, 0.207013, 0.211987, 0.213654,
15018  0.216637, 0.217643, 0.218947, 0.219963, 0.219978,
15019  0.0703225, 0.16552, 0.378115, 0.579095, 0.700216,
15020  0.731914, 0.714046, 0.662917, 0.601081, 0.543271,
15021  0.485092, 0.433223, 0.389483, 0.348581, 0.314253,
15022  0.284761, 0.258502, 0.237176, 0.218213, 0.200735,
15023  0.185935, 0.17294, 0.161728, 0.15193, 0.143045,
15024  0.135093, 0.128306, 0.122383, 0.116789, 0.112113,
15025  0.107802, 0.104839, 0.101151, 0.0983247, 0.095503,
15026  0.0936808, 0.0919245, 0.0902959, 0.0893869, 0.0884112,
15027  0.0879517, 0.0873332, 0.0870686, 0.0870583, 0.0881187,
15028  0.0883048, 0.0892313, 0.0909373, 0.0922055, 0.0941772,
15029  0.0958988, 0.0989058, 0.101713, 0.105135, 0.109035,
15030  0.113142, 0.118055, 0.122542, 0.127796, 0.133775,
15031  0.139313, 0.146452, 0.153043, 0.159728, 0.165949,
15032  0.173179, 0.180005, 0.187264, 0.192554, 0.198722,
15033  0.205226, 0.209549, 0.214348, 0.217732, 0.221606,
15034  0.223639, 0.225277, 0.226496, 0.227763, 0.227127,
15035  0.0691984, 0.166473, 0.383817, 0.586812, 0.706191,
15036  0.741393, 0.71983, 0.668404, 0.605725, 0.544697,
15037  0.487776, 0.434409, 0.389144, 0.349722, 0.315228,
15038  0.285818, 0.259316, 0.237427, 0.217712, 0.200804,
15039  0.186448, 0.173148, 0.16248, 0.152367, 0.143838,
15040  0.135182, 0.129553, 0.122659, 0.117619, 0.112447,
15041  0.108682, 0.104715, 0.10169, 0.0986625, 0.096255,
15042  0.0945238, 0.0929353, 0.0913811, 0.0904938, 0.0892058,
15043  0.0883364, 0.0884386, 0.0880855, 0.0884241, 0.0892485,
15044  0.0900599, 0.0903253, 0.0917594, 0.0935428, 0.0958851,
15045  0.0975293, 0.100283, 0.103632, 0.107017, 0.111216,
15046  0.114644, 0.119749, 0.125075, 0.130897, 0.136296,
15047  0.142909, 0.149325, 0.155806, 0.163179, 0.170111,
15048  0.178246, 0.185333, 0.191803, 0.198969, 0.20501,
15049  0.210282, 0.216965, 0.220185, 0.224156, 0.227984,
15050  0.230384, 0.231883, 0.233531, 0.233569, 0.23452,
15051  0.0680289, 0.167647, 0.390242, 0.597748, 0.717775,
15052  0.746754, 0.724189, 0.67084, 0.611063, 0.545448,
15053  0.488539, 0.434066, 0.389068, 0.350034, 0.314966,
15054  0.286172, 0.25962, 0.238062, 0.217758, 0.20169,
15055  0.186677, 0.174193, 0.162777, 0.15276, 0.14412,
15056  0.136057, 0.12952, 0.123363, 0.117811, 0.113644,
15057  0.109354, 0.105484, 0.102413, 0.0994633, 0.0969066,
15058  0.0953006, 0.0931004, 0.0917937, 0.0909884, 0.0902769,
15059  0.0896386, 0.0891497, 0.089319, 0.0892897, 0.0900454,
15060  0.0907104, 0.0914238, 0.0935778, 0.0946745, 0.0969367,
15061  0.0989527, 0.102323, 0.104796, 0.108934, 0.11297,
15062  0.116941, 0.121979, 0.127064, 0.133319, 0.138369,
15063  0.14506, 0.15285, 0.160008, 0.167129, 0.17456,
15064  0.182035, 0.189659, 0.197079, 0.204032, 0.210776,
15065  0.215984, 0.2223, 0.226875, 0.231585, 0.234002,
15066  0.237211, 0.239909, 0.240164, 0.242238, 0.242573,
15067  0.0668023, 0.169303, 0.396438, 0.606838, 0.725092,
15068  0.752962, 0.72706, 0.675805, 0.611334, 0.546714,
15069  0.488737, 0.434882, 0.389747, 0.350079, 0.31558,
15070  0.286762, 0.260425, 0.237913, 0.218968, 0.201492,
15071  0.187747, 0.17476, 0.163131, 0.153255, 0.144545,
15072  0.13709, 0.13024, 0.124251, 0.119001, 0.113968,
15073  0.109443, 0.106562, 0.102994, 0.100163, 0.0981134,
15074  0.0962386, 0.0942501, 0.0929445, 0.0918784, 0.0909407,
15075  0.0905182, 0.09023, 0.090241, 0.0905415, 0.0909842,
15076  0.091788, 0.0928061, 0.0943728, 0.09599, 0.0981562,
15077  0.100444, 0.103318, 0.106648, 0.109786, 0.114325,
15078  0.119168, 0.123795, 0.129562, 0.135518, 0.141901,
15079  0.148748, 0.156038, 0.163908, 0.171282, 0.178666,
15080  0.186925, 0.194868, 0.202012, 0.209398, 0.216178,
15081  0.222792, 0.228406, 0.233696, 0.238268, 0.241322,
15082  0.24421, 0.246916, 0.248288, 0.248947, 0.249498,
15083  0.0659054, 0.171328, 0.404324, 0.616196, 0.735243,
15084  0.76323, 0.734644, 0.680606, 0.615006, 0.551099,
15085  0.491349, 0.43797, 0.391157, 0.351894, 0.316801,
15086  0.287341, 0.260543, 0.238059, 0.219294, 0.202055,
15087  0.187501, 0.175489, 0.164139, 0.154086, 0.145637,
15088  0.137765, 0.131045, 0.124834, 0.11951, 0.114656,
15089  0.110591, 0.10707, 0.103916, 0.100697, 0.0988086,
15090  0.0967209, 0.0955618, 0.0939736, 0.0931111, 0.0917373,
15091  0.091682, 0.0912549, 0.0914345, 0.0912687, 0.0921487,
15092  0.0931012, 0.0941982, 0.0957189, 0.0974336, 0.0993935,
15093  0.101888, 0.10443, 0.108055, 0.111962, 0.116803,
15094  0.120801, 0.12604, 0.131728, 0.137526, 0.14436,
15095  0.15183, 0.159552, 0.16641, 0.174986, 0.18277,
15096  0.192105, 0.199213, 0.207557, 0.214645, 0.221942,
15097  0.228949, 0.235163, 0.240125, 0.245051, 0.249115,
15098  0.251709, 0.254338, 0.255231, 0.257206, 0.257429,
15099  0.064498, 0.172002, 0.410894, 0.625042, 0.742484,
15100  0.770811, 0.745294, 0.684121, 0.619791, 0.554775,
15101  0.491665, 0.438214, 0.392496, 0.351955, 0.317306,
15102  0.288718, 0.260956, 0.239323, 0.219936, 0.203602,
15103  0.188364, 0.176229, 0.164433, 0.1544, 0.144841,
15104  0.138704, 0.131089, 0.124964, 0.120108, 0.115011,
15105  0.111206, 0.107567, 0.104576, 0.101426, 0.0992566,
15106  0.0976075, 0.0957715, 0.0942291, 0.0931679, 0.0924949,
15107  0.0926406, 0.0919005, 0.0925113, 0.0926829, 0.0930833,
15108  0.0940381, 0.0951759, 0.0964662, 0.098372, 0.100568,
15109  0.103613, 0.106505, 0.109791, 0.113996, 0.118353,
15110  0.123289, 0.128073, 0.134458, 0.140722, 0.147555,
15111  0.154559, 0.162219, 0.1705, 0.178641, 0.187435,
15112  0.194901, 0.204564, 0.212591, 0.220705, 0.228369,
15113  0.23462, 0.241334, 0.246085, 0.251929, 0.25564,
15114  0.2584, 0.261615, 0.262683, 0.264362, 0.264339,
15115  0.0638487, 0.174657, 0.417223, 0.63716, 0.754609,
15116  0.780004, 0.749728, 0.689486, 0.621725, 0.554352,
15117  0.493919, 0.439911, 0.39375, 0.353159, 0.31846,
15118  0.288673, 0.26222, 0.240208, 0.22056, 0.203606,
15119  0.188744, 0.176733, 0.165157, 0.155415, 0.146916,
15120  0.138975, 0.132467, 0.126265, 0.120578, 0.116639,
15121  0.112741, 0.108771, 0.105512, 0.102471, 0.100368,
15122  0.0982324, 0.0967785, 0.0957669, 0.0946344, 0.0934474,
15123  0.0931508, 0.0931969, 0.093126, 0.0936385, 0.0942695,
15124  0.0951446, 0.0965455, 0.0977424, 0.100044, 0.101743,
15125  0.105135, 0.107616, 0.111475, 0.115578, 0.119732,
15126  0.124708, 0.13067, 0.136405, 0.143004, 0.150139,
15127  0.157497, 0.165469, 0.173305, 0.181927, 0.191982,
15128  0.200119, 0.208306, 0.216728, 0.226319, 0.233055,
15129  0.240505, 0.247849, 0.253868, 0.259685, 0.262512,
15130  0.266426, 0.269472, 0.271436, 0.271317, 0.273125,
15131  0.0627738, 0.175869, 0.424941, 0.644561, 0.766346,
15132  0.789655, 0.753065, 0.693509, 0.625728, 0.55728,
15133  0.496405, 0.442759, 0.393487, 0.354623, 0.319052,
15134  0.289791, 0.263556, 0.239878, 0.222284, 0.203916,
15135  0.189874, 0.177622, 0.165389, 0.155854, 0.147017,
15136  0.139838, 0.132781, 0.12696, 0.121734, 0.117382,
15137  0.112608, 0.109617, 0.105981, 0.103592, 0.100857,
15138  0.0994145, 0.0975705, 0.0962256, 0.0954268, 0.0945075,
15139  0.0940594, 0.0940644, 0.0940781, 0.0945719, 0.0953791,
15140  0.0964902, 0.0976391, 0.0993199, 0.10098, 0.103585,
15141  0.10611, 0.109304, 0.11316, 0.116982, 0.121658,
15142  0.127033, 0.132315, 0.138539, 0.144791, 0.152533,
15143  0.160326, 0.168424, 0.177415, 0.186728, 0.196014,
15144  0.204616, 0.214275, 0.222682, 0.231047, 0.24001,
15145  0.247131, 0.254852, 0.261089, 0.266361, 0.270627,
15146  0.273521, 0.277052, 0.278395, 0.28033, 0.280039,
15147  0.0619395, 0.178846, 0.431648, 0.655928, 0.772248,
15148  0.79706, 0.761187, 0.697955, 0.629717, 0.559801,
15149  0.500371, 0.443781, 0.396576, 0.35595, 0.319338,
15150  0.288835, 0.264482, 0.241292, 0.22232, 0.206285,
15151  0.190574, 0.177777, 0.166891, 0.156826, 0.14834,
15152  0.140283, 0.133083, 0.127942, 0.122073, 0.117487,
15153  0.113983, 0.110138, 0.107014, 0.104456, 0.102163,
15154  0.100517, 0.0984597, 0.0970191, 0.0963064, 0.0952868,
15155  0.0954211, 0.094973, 0.0953189, 0.0955644, 0.096361,
15156  0.0973436, 0.0989657, 0.100285, 0.102278, 0.105198,
15157  0.107526, 0.111026, 0.114775, 0.118778, 0.123437,
15158  0.128221, 0.133899, 0.141285, 0.14753, 0.154298,
15159  0.16368, 0.171566, 0.180723, 0.189761, 0.199908,
15160  0.209147, 0.218375, 0.228006, 0.237866, 0.244806,
15161  0.254345, 0.262286, 0.268058, 0.272907, 0.278959,
15162  0.282519, 0.285463, 0.287195, 0.288525, 0.288203,
15163  0.060802, 0.180855, 0.439152, 0.667603, 0.786303,
15164  0.80461, 0.770231, 0.706927, 0.634841, 0.563843,
15165  0.500538, 0.44801, 0.397529, 0.356582, 0.322842,
15166  0.291202, 0.265247, 0.242072, 0.223604, 0.206493,
15167  0.191557, 0.17868, 0.167324, 0.157729, 0.149131,
15168  0.141245, 0.134364, 0.128515, 0.122831, 0.118265,
15169  0.114568, 0.111203, 0.107822, 0.105035, 0.102799,
15170  0.100611, 0.0990976, 0.0980711, 0.0968197, 0.0957391,
15171  0.0960777, 0.0959709, 0.0964189, 0.0963747, 0.0969627,
15172  0.0979621, 0.0996985, 0.10144, 0.103715, 0.106091,
15173  0.108799, 0.112269, 0.116267, 0.120652, 0.125361,
15174  0.13077, 0.136879, 0.142706, 0.150046, 0.157558,
15175  0.166156, 0.175123, 0.183725, 0.193554, 0.203368,
15176  0.213617, 0.223502, 0.233848, 0.243291, 0.251505,
15177  0.260795, 0.267554, 0.274626, 0.280509, 0.285528,
15178  0.289229, 0.293556, 0.29493, 0.296688, 0.29668,
15179  0.0599773, 0.183306, 0.449177, 0.679519, 0.795576,
15180  0.817482, 0.776321, 0.711323, 0.635974, 0.566992,
15181  0.504073, 0.447331, 0.399782, 0.357521, 0.322854,
15182  0.291815, 0.265488, 0.243777, 0.224483, 0.207178,
15183  0.193105, 0.179659, 0.167961, 0.158461, 0.149377,
15184  0.141813, 0.135132, 0.129185, 0.123529, 0.119229,
15185  0.114754, 0.11161, 0.108644, 0.105849, 0.103892,
15186  0.101996, 0.099798, 0.0992799, 0.097702, 0.0975445,
15187  0.096536, 0.097172, 0.0974286, 0.0976597, 0.0980315,
15188  0.0996169, 0.100686, 0.102295, 0.104945, 0.107646,
15189  0.110274, 0.113648, 0.117729, 0.121796, 0.126927,
15190  0.132693, 0.138765, 0.144979, 0.152603, 0.160201,
15191  0.168474, 0.177941, 0.187162, 0.196568, 0.207885,
15192  0.218433, 0.228541, 0.238491, 0.248276, 0.25809,
15193  0.267011, 0.27475, 0.282417, 0.288432, 0.292989,
15194  0.296958, 0.299847, 0.303054, 0.304176, 0.305453,
15195  0.0591094, 0.185683, 0.455914, 0.688727, 0.810138,
15196  0.826737, 0.782986, 0.713855, 0.642864, 0.570969,
15197  0.505816, 0.451018, 0.402112, 0.359599, 0.324871,
15198  0.294833, 0.267125, 0.245178, 0.225315, 0.208554,
15199  0.193343, 0.180277, 0.168869, 0.158975, 0.150453,
15200  0.142023, 0.135392, 0.130106, 0.124621, 0.120011,
15201  0.115871, 0.112101, 0.109389, 0.106332, 0.104641,
15202  0.102584, 0.100753, 0.0999334, 0.0987941, 0.0978934,
15203  0.0978393, 0.0978, 0.0982515, 0.0984738, 0.0994819,
15204  0.100498, 0.102504, 0.103827, 0.106402, 0.108742,
15205  0.111542, 0.114808, 0.118736, 0.123607, 0.128168,
15206  0.134264, 0.139889, 0.146967, 0.154361, 0.162954,
15207  0.172598, 0.181469, 0.190598, 0.200856, 0.211657,
15208  0.221982, 0.233221, 0.24414, 0.254415, 0.263739,
15209  0.272529, 0.281726, 0.289619, 0.295773, 0.300709,
15210  0.304911, 0.308773, 0.311648, 0.313624, 0.313838,
15211  0.058287, 0.18772, 0.465382, 0.704285, 0.819496,
15212  0.835918, 0.791912, 0.721398, 0.645167, 0.574222,
15213  0.510109, 0.451911, 0.402421, 0.361625, 0.326137,
15214  0.294858, 0.268137, 0.245314, 0.226949, 0.208423,
15215  0.194289, 0.180585, 0.17016, 0.159702, 0.150641,
15216  0.143218, 0.1364, 0.13052, 0.125854, 0.120719,
15217  0.116938, 0.113395, 0.110016, 0.10765, 0.105506,
15218  0.103438, 0.102284, 0.10112, 0.0993798, 0.0993065,
15219  0.0988551, 0.0989321, 0.0990598, 0.0996314, 0.100547,
15220  0.101813, 0.102854, 0.105015, 0.107397, 0.110255,
15221  0.113307, 0.116529, 0.120465, 0.125527, 0.130935,
15222  0.136366, 0.142405, 0.149657, 0.157436, 0.164616,
15223  0.174181, 0.184162, 0.194498, 0.20507, 0.215544,
15224  0.226607, 0.238992, 0.248984, 0.259366, 0.268788,
15225  0.279673, 0.28898, 0.296317, 0.302824, 0.3101,
15226  0.312669, 0.317259, 0.319243, 0.321415, 0.321597,
15227  0.0576216, 0.190971, 0.474796, 0.71389, 0.834775,
15228  0.846911, 0.80069, 0.728562, 0.650242, 0.577417,
15229  0.512603, 0.454244, 0.404289, 0.363529, 0.326497,
15230  0.295413, 0.268624, 0.246586, 0.226832, 0.210055,
15231  0.194542, 0.181428, 0.17033, 0.160835, 0.1513,
15232  0.144344, 0.137474, 0.131267, 0.126311, 0.12173,
15233  0.117855, 0.113921, 0.11081, 0.108492, 0.106275,
15234  0.103953, 0.10247, 0.101282, 0.100434, 0.0998442,
15235  0.0997908, 0.0997855, 0.100192, 0.100476, 0.101429,
15236  0.102643, 0.103886, 0.106317, 0.108713, 0.111829,
15237  0.114031, 0.118211, 0.122162, 0.126615, 0.132291,
15238  0.137938, 0.144352, 0.151733, 0.159649, 0.168234,
15239  0.17698, 0.186969, 0.19804, 0.208978, 0.219422,
15240  0.231376, 0.242845, 0.255179, 0.265189, 0.277028,
15241  0.285864, 0.295716, 0.302797, 0.310271, 0.316975,
15242  0.322397, 0.325508, 0.327626, 0.328962, 0.330181,
15243  0.0567694, 0.193554, 0.483239, 0.72629, 0.843518,
15244  0.854332, 0.805475, 0.733695, 0.6524, 0.580414,
15245  0.514082, 0.457333, 0.406936, 0.363755, 0.329308,
15246  0.296923, 0.270515, 0.247815, 0.228203, 0.210874,
15247  0.196003, 0.182596, 0.171518, 0.161747, 0.153205,
15248  0.145765, 0.138151, 0.132524, 0.127331, 0.122819,
15249  0.118217, 0.114831, 0.111941, 0.109416, 0.107254,
15250  0.105059, 0.103362, 0.101927, 0.101505, 0.100823,
15251  0.100796, 0.100576, 0.101082, 0.102085, 0.102427,
15252  0.103799, 0.105263, 0.107468, 0.109437, 0.112243,
15253  0.115856, 0.119435, 0.123673, 0.128954, 0.134109,
15254  0.139308, 0.146225, 0.153889, 0.162111, 0.170222,
15255  0.180251, 0.189949, 0.20074, 0.212033, 0.223481,
15256  0.235786, 0.247179, 0.259616, 0.270706, 0.282331,
15257  0.292616, 0.30114, 0.310971, 0.317626, 0.32393,
15258  0.331143, 0.334246, 0.33642, 0.33718, 0.338007,
15259  0.055932, 0.19668, 0.493541, 0.739506, 0.859796,
15260  0.864577, 0.813555, 0.741473, 0.661773, 0.584307,
15261  0.515756, 0.458461, 0.410104, 0.366701, 0.3286,
15262  0.299257, 0.27138, 0.248555, 0.22857, 0.211687,
15263  0.196954, 0.183879, 0.172798, 0.162967, 0.153618,
15264  0.145801, 0.138592, 0.133223, 0.12761, 0.123285,
15265  0.119776, 0.115919, 0.112786, 0.109896, 0.107868,
15266  0.105732, 0.10441, 0.103521, 0.102264, 0.101624,
15267  0.101763, 0.101369, 0.101869, 0.102527, 0.103453,
15268  0.105006, 0.106435, 0.108631, 0.1109, 0.113795,
15269  0.117089, 0.120912, 0.125785, 0.129781, 0.134996,
15270  0.141335, 0.147821, 0.155367, 0.164464, 0.173098,
15271  0.18248, 0.193673, 0.20403, 0.216386, 0.228581,
15272  0.239639, 0.252616, 0.264913, 0.277193, 0.288272,
15273  0.299405, 0.309482, 0.317762, 0.326146, 0.332091,
15274  0.337324, 0.341666, 0.344907, 0.346995, 0.346237,
15275  0.0552342, 0.200259, 0.504119, 0.752992, 0.870327,
15276  0.876077, 0.821955, 0.743643, 0.663439, 0.588067,
15277  0.522277, 0.46147, 0.411252, 0.368217, 0.331566,
15278  0.300377, 0.272672, 0.249412, 0.229768, 0.212713,
15279  0.198406, 0.183382, 0.173455, 0.16419, 0.154747,
15280  0.146498, 0.139879, 0.134022, 0.129084, 0.123944,
15281  0.120059, 0.116827, 0.113434, 0.111259, 0.108652,
15282  0.1067, 0.105557, 0.10409, 0.103207, 0.102906,
15283  0.102688, 0.102415, 0.102844, 0.103661, 0.104738,
15284  0.105699, 0.107595, 0.109309, 0.112128, 0.11505,
15285  0.118331, 0.122194, 0.126473, 0.13153, 0.136628,
15286  0.143465, 0.150489, 0.158178, 0.166577, 0.175391,
15287  0.184923, 0.196154, 0.207314, 0.218719, 0.231358,
15288  0.24429, 0.257662, 0.270486, 0.283048, 0.294855,
15289  0.30615, 0.315777, 0.326281, 0.333832, 0.340953,
15290  0.34558, 0.350057, 0.353064, 0.354722, 0.355902,
15291  0.054636, 0.203168, 0.514227, 0.767894, 0.881942,
15292  0.888535, 0.832674, 0.751593, 0.671149, 0.591868,
15293  0.52323, 0.461741, 0.412427, 0.369865, 0.332647,
15294  0.301451, 0.274627, 0.250694, 0.231818, 0.214703,
15295  0.198938, 0.185277, 0.174515, 0.164589, 0.155062,
15296  0.147622, 0.140767, 0.134512, 0.129437, 0.124817,
15297  0.121282, 0.117826, 0.114062, 0.112033, 0.109338,
15298  0.108015, 0.106144, 0.105194, 0.104313, 0.103819,
15299  0.103298, 0.10357, 0.103913, 0.10461, 0.105295,
15300  0.106634, 0.108761, 0.111031, 0.112995, 0.116513,
15301  0.119711, 0.123467, 0.128028, 0.133098, 0.138925,
15302  0.145547, 0.152149, 0.160271, 0.168522, 0.177231,
15303  0.188026, 0.19939, 0.21146, 0.223908, 0.236176,
15304  0.249625, 0.26324, 0.275181, 0.287801, 0.30147,
15305  0.313504, 0.322301, 0.332967, 0.341276, 0.348872,
15306  0.354702, 0.359514, 0.361504, 0.363766, 0.363991,
15307  0.053717, 0.205369, 0.521072, 0.780873, 0.895837,
15308  0.902944, 0.839854, 0.759215, 0.672129, 0.59461,
15309  0.525891, 0.465763, 0.415767, 0.371642, 0.33423,
15310  0.303874, 0.274659, 0.252305, 0.231947, 0.215565,
15311  0.199796, 0.18616, 0.175688, 0.165326, 0.156257,
15312  0.148807, 0.142117, 0.135527, 0.130533, 0.125884,
15313  0.121723, 0.118776, 0.115404, 0.112838, 0.110312,
15314  0.108531, 0.106797, 0.105762, 0.10501, 0.104789,
15315  0.104736, 0.104703, 0.104675, 0.105298, 0.106379,
15316  0.10811, 0.109146, 0.111843, 0.113808, 0.117039,
15317  0.120239, 0.124969, 0.128799, 0.134605, 0.141013,
15318  0.146645, 0.15338, 0.162428, 0.170771, 0.180163,
15319  0.191558, 0.202166, 0.214714, 0.226841, 0.240699,
15320  0.253989, 0.268043, 0.28092, 0.294958, 0.307538,
15321  0.319411, 0.33153, 0.340532, 0.348618, 0.356913,
15322  0.363611, 0.366919, 0.370805, 0.37192, 0.372301,
15323  0.0531969, 0.209714, 0.531725, 0.795275, 0.909484,
15324  0.908595, 0.847457, 0.765961, 0.68011, 0.599132,
15325  0.52811, 0.471441, 0.416365, 0.374319, 0.33632,
15326  0.304645, 0.276552, 0.253247, 0.233056, 0.215615,
15327  0.200784, 0.187638, 0.17589, 0.166327, 0.157618,
15328  0.149403, 0.142946, 0.136148, 0.130853, 0.126982,
15329  0.123025, 0.119379, 0.115867, 0.112986, 0.111085,
15330  0.109323, 0.107852, 0.106911, 0.105971, 0.105505,
15331  0.105168, 0.105337, 0.106252, 0.106633, 0.107602,
15332  0.109062, 0.1107, 0.112878, 0.11552, 0.119017,
15333  0.121795, 0.126329, 0.130603, 0.136265, 0.141398,
15334  0.14862, 0.155526, 0.164097, 0.172976, 0.183383,
15335  0.193742, 0.206, 0.217911, 0.230125, 0.244614,
15336  0.257832, 0.271025, 0.28721, 0.301558, 0.312944,
15337  0.324347, 0.336822, 0.348719, 0.356401, 0.363898,
15338  0.370079, 0.376122, 0.378968, 0.381892, 0.381426,
15339  0.0523943, 0.213922, 0.544377, 0.805872, 0.923779,
15340  0.92183, 0.857504, 0.771047, 0.684022, 0.60404,
15341  0.533186, 0.47371, 0.421204, 0.373883, 0.337804,
15342  0.305254, 0.278672, 0.254655, 0.234472, 0.217597,
15343  0.202054, 0.188783, 0.177091, 0.166942, 0.158183,
15344  0.150104, 0.14329, 0.137368, 0.132345, 0.127612,
15345  0.123409, 0.119408, 0.117148, 0.114683, 0.112421,
15346  0.110597, 0.109009, 0.107695, 0.106935, 0.106361,
15347  0.105838, 0.10643, 0.106836, 0.107135, 0.10849,
15348  0.109779, 0.111927, 0.11355, 0.116681, 0.119405,
15349  0.123204, 0.127842, 0.131512, 0.137761, 0.1433,
15350  0.150079, 0.158673, 0.166148, 0.175307, 0.185433,
15351  0.19686, 0.208908, 0.22085, 0.234035, 0.24808,
15352  0.262974, 0.276355, 0.291543, 0.304824, 0.319468,
15353  0.331396, 0.344423, 0.355254, 0.365618, 0.37295,
15354  0.379614, 0.384816, 0.386913, 0.389605, 0.391337,
15355  0.0521175, 0.216904, 0.556781, 0.826214, 0.935649,
15356  0.933315, 0.867468, 0.779196, 0.690172, 0.607224,
15357  0.535561, 0.474739, 0.42215, 0.376314, 0.33951,
15358  0.306145, 0.279404, 0.256755, 0.235754, 0.21767,
15359  0.203247, 0.189337, 0.177781, 0.168127, 0.158845,
15360  0.151225, 0.144101, 0.138477, 0.133396, 0.128242,
15361  0.124345, 0.120731, 0.117583, 0.115162, 0.112918,
15362  0.111289, 0.109792, 0.108903, 0.108, 0.107007,
15363  0.107157, 0.107034, 0.107875, 0.108365, 0.109733,
15364  0.110799, 0.113092, 0.115086, 0.117905, 0.120858,
15365  0.124149, 0.128702, 0.133008, 0.138742, 0.145211,
15366  0.152124, 0.159713, 0.168093, 0.177352, 0.188333,
15367  0.199238, 0.21069, 0.224338, 0.2368, 0.2524,
15368  0.265953, 0.28174, 0.297225, 0.310758, 0.325124,
15369  0.340089, 0.351507, 0.363255, 0.373439, 0.382544,
15370  0.388908, 0.393602, 0.398722, 0.400038, 0.400099,
15371  0.0511356, 0.221629, 0.564357, 0.838652, 0.953578,
15372  0.941849, 0.875368, 0.784816, 0.693013, 0.612302,
15373  0.538837, 0.478324, 0.423656, 0.378713, 0.339671,
15374  0.310101, 0.281906, 0.257723, 0.235946, 0.219157,
15375  0.203959, 0.190406, 0.178818, 0.16917, 0.159857,
15376  0.152477, 0.145428, 0.139234, 0.134363, 0.129489,
15377  0.124265, 0.121517, 0.118538, 0.1159, 0.113718,
15378  0.11203, 0.110482, 0.109104, 0.108631, 0.107869,
15379  0.10823, 0.108397, 0.108785, 0.109129, 0.110644,
15380  0.111985, 0.114518, 0.116522, 0.118403, 0.122693,
15381  0.125423, 0.130612, 0.134813, 0.140102, 0.146857,
15382  0.154094, 0.160934, 0.170259, 0.179648, 0.189718,
15383  0.201387, 0.214017, 0.228495, 0.241328, 0.255644,
15384  0.271525, 0.287064, 0.304043, 0.318064, 0.331957,
15385  0.347161, 0.360712, 0.370218, 0.379333, 0.389971,
15386  0.396488, 0.40241, 0.406722, 0.408796, 0.409738,
15387  0.0506925, 0.224422, 0.577913, 0.852551, 0.966077,
15388  0.956437, 0.884973, 0.792667, 0.700746, 0.61554,
15389  0.54366, 0.47808, 0.425536, 0.380697, 0.34406,
15390  0.309784, 0.28271, 0.259019, 0.238141, 0.220178,
15391  0.204999, 0.19122, 0.180453, 0.170341, 0.160842,
15392  0.153045, 0.146172, 0.14031, 0.134919, 0.129995,
15393  0.126286, 0.122581, 0.119192, 0.116761, 0.11458,
15394  0.113287, 0.111275, 0.110038, 0.109791, 0.108958,
15395  0.108794, 0.109134, 0.10945, 0.110391, 0.111378,
15396  0.11331, 0.115073, 0.116948, 0.119511, 0.123188,
15397  0.126906, 0.131569, 0.136438, 0.141707, 0.147827,
15398  0.155447, 0.163667, 0.171306, 0.182028, 0.192472,
15399  0.204201, 0.216823, 0.230656, 0.244383, 0.260179,
15400  0.274451, 0.291179, 0.307662, 0.324023, 0.338469,
15401  0.351554, 0.366765, 0.378117, 0.388988, 0.398486,
15402  0.405205, 0.410634, 0.415008, 0.418043, 0.418241,
15403  0.050225, 0.228666, 0.591003, 0.87228, 0.979422,
15404  0.967857, 0.893629, 0.802425, 0.707251, 0.620134,
15405  0.547199, 0.482255, 0.427183, 0.384008, 0.344168,
15406  0.311554, 0.284764, 0.259175, 0.238695, 0.22143,
15407  0.206228, 0.192019, 0.180763, 0.170861, 0.162101,
15408  0.154995, 0.146865, 0.140624, 0.135679, 0.13081,
15409  0.127495, 0.123426, 0.119797, 0.117108, 0.115612,
15410  0.11374, 0.112423, 0.111055, 0.110155, 0.109947,
15411  0.109357, 0.109767, 0.110082, 0.111024, 0.112322,
15412  0.113643, 0.115781, 0.117749, 0.120595, 0.124286,
15413  0.128175, 0.132675, 0.13771, 0.143762, 0.149113,
15414  0.156841, 0.16474, 0.173173, 0.183767, 0.194633,
15415  0.206413, 0.220623, 0.233866, 0.248014, 0.263502,
15416  0.280789, 0.296103, 0.312581, 0.327907, 0.344403,
15417  0.358603, 0.372745, 0.387138, 0.396804, 0.406249,
15418  0.414466, 0.419317, 0.424987, 0.425212, 0.426565,
15419  0.0495772, 0.232523, 0.600307, 0.885839, 0.992924,
15420  0.982366, 0.906242, 0.806413, 0.713699, 0.624817,
15421  0.548301, 0.486224, 0.429559, 0.385941, 0.346268,
15422  0.312877, 0.28518, 0.260786, 0.239297, 0.222763,
15423  0.207268, 0.194194, 0.181983, 0.171631, 0.162522,
15424  0.154695, 0.147295, 0.14206, 0.136442, 0.131459,
15425  0.128208, 0.123982, 0.120979, 0.118051, 0.116431,
15426  0.11435, 0.113401, 0.112299, 0.111459, 0.11083,
15427  0.110743, 0.110715, 0.111641, 0.112057, 0.113678,
15428  0.115502, 0.116735, 0.119571, 0.122106, 0.12611,
15429  0.12935, 0.133815, 0.139322, 0.14463, 0.150621,
15430  0.158844, 0.166755, 0.175987, 0.185688, 0.19733,
15431  0.209461, 0.222717, 0.236886, 0.251867, 0.266953,
15432  0.284516, 0.300529, 0.318331, 0.336148, 0.350384,
15433  0.366114, 0.381362, 0.393308, 0.406352, 0.414497,
15434  0.422516, 0.42936, 0.433909, 0.436411, 0.438222,
15435  0.04912, 0.236894, 0.615871, 0.900389, 1.01145,
15436  0.992677, 0.907241, 0.814752, 0.717729, 0.629629,
15437  0.553936, 0.487902, 0.432956, 0.389106, 0.347783,
15438  0.314301, 0.28649, 0.26321, 0.243168, 0.223626,
15439  0.20901, 0.195467, 0.183151, 0.173398, 0.164237,
15440  0.156022, 0.148926, 0.142749, 0.137515, 0.132421,
15441  0.129299, 0.124729, 0.122499, 0.119339, 0.117398,
15442  0.114832, 0.113939, 0.112812, 0.111578, 0.111382,
15443  0.111254, 0.111747, 0.1125, 0.11317, 0.11432,
15444  0.116093, 0.118127, 0.12054, 0.123224, 0.126457,
15445  0.130743, 0.134278, 0.140291, 0.146052, 0.153633,
15446  0.160157, 0.168595, 0.177381, 0.188197, 0.199584,
15447  0.21165, 0.225695, 0.239949, 0.254736, 0.272004,
15448  0.288791, 0.305757, 0.322767, 0.341931, 0.357691,
15449  0.373872, 0.387657, 0.401502, 0.414833, 0.424377,
15450  0.433253, 0.438081, 0.444338, 0.447442, 0.447785,
15451  0.0482545, 0.241988, 0.629347, 0.912069, 1.025,
15452  1.00315, 0.923664, 0.824582, 0.723502, 0.633442,
15453  0.55585, 0.491997, 0.436258, 0.389064, 0.349558,
15454  0.315523, 0.287459, 0.264465, 0.242216, 0.224647,
15455  0.208357, 0.19615, 0.184846, 0.173718, 0.164726,
15456  0.157322, 0.150558, 0.144102, 0.138015, 0.133452,
15457  0.129735, 0.125754, 0.122977, 0.120151, 0.11741,
15458  0.116018, 0.114739, 0.113669, 0.112587, 0.112255,
15459  0.11276, 0.112921, 0.113515, 0.114185, 0.115588,
15460  0.116954, 0.118541, 0.121232, 0.124397, 0.127676,
15461  0.13161, 0.136231, 0.14111, 0.147433, 0.15392,
15462  0.161954, 0.17027, 0.179719, 0.189606, 0.201575,
15463  0.214317, 0.227554, 0.243589, 0.258775, 0.276316,
15464  0.291824, 0.311479, 0.329897, 0.346898, 0.363731,
15465  0.380639, 0.394212, 0.409666, 0.421654, 0.433036,
15466  0.442016, 0.448643, 0.4509, 0.454465, 0.45593,
15467  0.0480192, 0.246696, 0.642098, 0.930349, 1.03848,
15468  1.01692, 0.931752, 0.829326, 0.729893, 0.638227,
15469  0.55884, 0.493599, 0.437066, 0.39171, 0.351629,
15470  0.318452, 0.289205, 0.26599, 0.244593, 0.226253,
15471  0.210599, 0.197068, 0.184989, 0.174695, 0.165563,
15472  0.158092, 0.150852, 0.144646, 0.139184, 0.13433,
15473  0.130059, 0.126555, 0.123562, 0.120586, 0.118482,
15474  0.116858, 0.1156, 0.1145, 0.113569, 0.113388,
15475  0.113533, 0.113708, 0.11392, 0.115163, 0.116613,
15476  0.118107, 0.119731, 0.121842, 0.125755, 0.128744,
15477  0.132702, 0.137085, 0.142777, 0.148423, 0.155632,
15478  0.163156, 0.171595, 0.181831, 0.192319, 0.203673,
15479  0.217418, 0.230957, 0.245189, 0.261888, 0.27909,
15480  0.296344, 0.315746, 0.334504, 0.351993, 0.369931,
15481  0.387287, 0.405117, 0.417837, 0.431808, 0.441837,
15482  0.451045, 0.457958, 0.462061, 0.465626, 0.466309,
15483  0.0474629, 0.251468, 0.652183, 0.949677, 1.0538,
15484  1.03276, 0.93961, 0.837806, 0.73612, 0.642365,
15485  0.562073, 0.496329, 0.443228, 0.393716, 0.353968,
15486  0.319978, 0.291366, 0.266804, 0.246101, 0.227747,
15487  0.212298, 0.198711, 0.186557, 0.176197, 0.167035,
15488  0.159007, 0.151503, 0.14545, 0.139872, 0.13524,
15489  0.131179, 0.127265, 0.124412, 0.122039, 0.119719,
15490  0.118456, 0.116093, 0.115835, 0.114294, 0.114213,
15491  0.11438, 0.114074, 0.115265, 0.116098, 0.117146,
15492  0.119051, 0.121386, 0.123625, 0.125875, 0.130157,
15493  0.134401, 0.138894, 0.14357, 0.150138, 0.156982,
15494  0.164544, 0.173604, 0.183809, 0.19351, 0.206182,
15495  0.219127, 0.233168, 0.248722, 0.266008, 0.283644,
15496  0.302671, 0.320838, 0.340221, 0.358956, 0.378138,
15497  0.394917, 0.410467, 0.427965, 0.43969, 0.449268,
15498  0.460162, 0.46886, 0.471018, 0.476657, 0.4762,
15499  0.0468722, 0.255856, 0.665586, 0.966725, 1.07182,
15500  1.03718, 0.945906, 0.842835, 0.741324, 0.648015,
15501  0.568513, 0.499421, 0.442755, 0.396057, 0.355762,
15502  0.322124, 0.293651, 0.268696, 0.247017, 0.228829,
15503  0.212664, 0.198637, 0.187154, 0.17637, 0.16765,
15504  0.159677, 0.15291, 0.146476, 0.140781, 0.136864,
15505  0.132021, 0.12852, 0.125117, 0.123292, 0.120279,
15506  0.118906, 0.117105, 0.116096, 0.115123, 0.114613,
15507  0.115134, 0.115086, 0.115727, 0.117639, 0.117809,
15508  0.119558, 0.12133, 0.123993, 0.127087, 0.131163,
15509  0.134103, 0.139657, 0.144801, 0.151648, 0.158404,
15510  0.166119, 0.175011, 0.185473, 0.196161, 0.208108,
15511  0.221224, 0.23511, 0.252896, 0.268586, 0.287616,
15512  0.305092, 0.324926, 0.345369, 0.36347, 0.382715,
15513  0.402661, 0.417689, 0.434515, 0.449268, 0.458614,
15514  0.469897, 0.475837, 0.482945, 0.485969, 0.484688,
15515  0.0466351, 0.260662, 0.681029, 0.980284, 1.08458,
15516  1.05526, 0.963812, 0.852364, 0.747593, 0.650185,
15517  0.571579, 0.502369, 0.446416, 0.39648, 0.357764,
15518  0.323697, 0.294427, 0.270867, 0.248947, 0.230689,
15519  0.213244, 0.200554, 0.188755, 0.177426, 0.168237,
15520  0.160187, 0.153533, 0.147529, 0.141695, 0.137089,
15521  0.132873, 0.129366, 0.125869, 0.123265, 0.121511,
15522  0.119522, 0.117989, 0.116958, 0.115734, 0.116541,
15523  0.11581, 0.116354, 0.115825, 0.117872, 0.118978,
15524  0.120943, 0.122849, 0.125215, 0.128999, 0.132363,
15525  0.136339, 0.14143, 0.146176, 0.153121, 0.16021,
15526  0.167949, 0.176585, 0.187103, 0.197305, 0.209722,
15527  0.224009, 0.23971, 0.254237, 0.272839, 0.291342,
15528  0.309781, 0.32966, 0.3504, 0.37181, 0.388389,
15529  0.40766, 0.426794, 0.44157, 0.455384, 0.468135,
15530  0.478476, 0.484859, 0.492131, 0.496275, 0.496558,
15531  0.0458541, 0.266375, 0.695465, 0.997332, 1.10232,
15532  1.06633, 0.96997, 0.85914, 0.751871, 0.655771,
15533  0.573997, 0.508397, 0.44769, 0.399965, 0.360048,
15534  0.325487, 0.295983, 0.270377, 0.249895, 0.23165,
15535  0.215722, 0.201498, 0.189383, 0.178942, 0.170049,
15536  0.162184, 0.154059, 0.148305, 0.142933, 0.137586,
15537  0.13365, 0.129973, 0.126591, 0.124403, 0.12267,
15538  0.120257, 0.119, 0.117329, 0.116784, 0.116693,
15539  0.116666, 0.116941, 0.11716, 0.118404, 0.120311,
15540  0.121661, 0.123883, 0.126273, 0.129731, 0.132871,
15541  0.137562, 0.141642, 0.147776, 0.15373, 0.161547,
15542  0.169288, 0.178079, 0.188281, 0.200141, 0.212833,
15543  0.226469, 0.241972, 0.258607, 0.276875, 0.295123,
15544  0.313719, 0.333694, 0.35369, 0.37602, 0.396099,
15545  0.41569, 0.432304, 0.448826, 0.463113, 0.477313,
15546  0.488215, 0.494483, 0.501023, 0.504664, 0.5054,
15547  0.0456124, 0.271063, 0.708883, 1.01595, 1.11846,
15548  1.07856, 0.979651, 0.867967, 0.759341, 0.658139,
15549  0.579034, 0.508626, 0.450629, 0.402372, 0.361689,
15550  0.327115, 0.297491, 0.272955, 0.252129, 0.232344,
15551  0.216242, 0.202895, 0.190187, 0.178807, 0.170064,
15552  0.162168, 0.155712, 0.149294, 0.14391, 0.138905,
15553  0.134557, 0.130432, 0.127986, 0.125421, 0.122348,
15554  0.121163, 0.119617, 0.1183, 0.117377, 0.117717,
15555  0.117355, 0.117975, 0.118503, 0.119932, 0.120165,
15556  0.122808, 0.125287, 0.127249, 0.130752, 0.134135,
15557  0.138024, 0.143399, 0.148605, 0.155438, 0.162428,
15558  0.170989, 0.179747, 0.19009, 0.20233, 0.214562,
15559  0.228949, 0.244111, 0.261148, 0.278584, 0.297135,
15560  0.317481, 0.339483, 0.361022, 0.381369, 0.4026,
15561  0.422699, 0.440353, 0.458873, 0.474716, 0.487986,
15562  0.49721, 0.506422, 0.510891, 0.515135, 0.517312,
15563  0.0450965, 0.276866, 0.720951, 1.03738, 1.13554,
15564  1.09236, 0.99331, 0.875002, 0.763227, 0.662482,
15565  0.58126, 0.513659, 0.453512, 0.404248, 0.363912,
15566  0.329277, 0.298896, 0.273838, 0.252099, 0.233835,
15567  0.217708, 0.203574, 0.191779, 0.180312, 0.171606,
15568  0.162901, 0.15597, 0.149278, 0.144346, 0.139622,
15569  0.135488, 0.13203, 0.129411, 0.126196, 0.123387,
15570  0.121831, 0.120082, 0.119329, 0.118671, 0.118112,
15571  0.118478, 0.118123, 0.119002, 0.120703, 0.122107,
15572  0.124039, 0.125871, 0.128024, 0.131192, 0.135183,
15573  0.139368, 0.144214, 0.149667, 0.156863, 0.164515,
15574  0.172894, 0.182468, 0.192721, 0.204123, 0.216403,
15575  0.232006, 0.24777, 0.26356, 0.281305, 0.302768,
15576  0.32078, 0.344001, 0.365863, 0.387886, 0.407622,
15577  0.428476, 0.449058, 0.467102, 0.481603, 0.49504,
15578  0.505457, 0.513705, 0.521197, 0.526597, 0.527188,
15579  0.0445714, 0.282896, 0.741363, 1.05159, 1.15076,
15580  1.1078, 0.998877, 0.883482, 0.767589, 0.669151,
15581  0.587952, 0.514944, 0.453668, 0.405792, 0.365773,
15582  0.329809, 0.301398, 0.277287, 0.254279, 0.234756,
15583  0.218213, 0.204528, 0.192739, 0.182066, 0.17212,
15584  0.164982, 0.15699, 0.151153, 0.144749, 0.140272,
15585  0.135819, 0.132279, 0.129124, 0.12698, 0.124465,
15586  0.122546, 0.121211, 0.120028, 0.1197, 0.119339,
15587  0.119377, 0.120101, 0.120693, 0.121389, 0.123015,
15588  0.124275, 0.126495, 0.12938, 0.132849, 0.136088,
15589  0.139973, 0.145977, 0.151392, 0.1578, 0.165645,
15590  0.173228, 0.182741, 0.19405, 0.205767, 0.218487,
15591  0.234201, 0.249853, 0.267272, 0.287334, 0.306488,
15592  0.327112, 0.349212, 0.369704, 0.392999, 0.415019,
15593  0.436403, 0.456143, 0.473142, 0.491315, 0.506426,
15594  0.516511, 0.524294, 0.531203, 0.53468, 0.536209,
15595  0.044136, 0.287481, 0.754731, 1.0769, 1.1641,
15596  1.11603, 1.01095, 0.889202, 0.77361, 0.675077,
15597  0.589725, 0.51775, 0.459441, 0.407325, 0.367281,
15598  0.332721, 0.301812, 0.276608, 0.255471, 0.23674,
15599  0.218947, 0.205659, 0.192289, 0.182961, 0.1733,
15600  0.164554, 0.158248, 0.151863, 0.145901, 0.141608,
15601  0.136194, 0.133375, 0.130475, 0.127294, 0.125848,
15602  0.123585, 0.121765, 0.121163, 0.120613, 0.120162,
15603  0.120313, 0.120395, 0.120935, 0.121538, 0.123686,
15604  0.125452, 0.127513, 0.130189, 0.133535, 0.137531,
15605  0.142374, 0.146974, 0.152406, 0.158959, 0.16707,
15606  0.175683, 0.185243, 0.195934, 0.207425, 0.220966,
15607  0.235658, 0.251791, 0.269758, 0.289562, 0.308483,
15608  0.331739, 0.35365, 0.37677, 0.398692, 0.420987,
15609  0.443205, 0.463182, 0.483273, 0.500142, 0.514952,
15610  0.525045, 0.534291, 0.541307, 0.544541, 0.549559,
15611  0.0439553, 0.292819, 0.76736, 1.09251, 1.18533,
15612  1.13517, 1.01836, 0.896473, 0.778033, 0.67852,
15613  0.59156, 0.520927, 0.46033, 0.410924, 0.369745,
15614  0.332904, 0.303817, 0.278395, 0.256267, 0.237197,
15615  0.220869, 0.206588, 0.19455, 0.184122, 0.174644,
15616  0.165903, 0.159251, 0.152708, 0.147357, 0.14218,
15617  0.137517, 0.134366, 0.130867, 0.12797, 0.126128,
15618  0.123959, 0.122955, 0.121816, 0.121432, 0.121171,
15619  0.120842, 0.120732, 0.122505, 0.122782, 0.123969,
15620  0.126332, 0.128879, 0.131335, 0.134328, 0.138379,
15621  0.142855, 0.148096, 0.153886, 0.160752, 0.167778,
15622  0.176637, 0.185953, 0.197628, 0.209312, 0.22284,
15623  0.237857, 0.253962, 0.273429, 0.291822, 0.314399,
15624  0.335035, 0.357519, 0.380722, 0.404187, 0.428155,
15625  0.451499, 0.471472, 0.490094, 0.507795, 0.523314,
15626  0.534543, 0.545944, 0.551717, 0.555515, 0.556327,
15627  0.0433738, 0.299054, 0.782528, 1.11161, 1.20123,
15628  1.14283, 1.02775, 0.903665, 0.790387, 0.683416,
15629  0.595689, 0.524652, 0.463842, 0.414078, 0.3711,
15630  0.33561, 0.306583, 0.279793, 0.257253, 0.238765,
15631  0.221973, 0.208922, 0.195941, 0.184742, 0.176034,
15632  0.16734, 0.159519, 0.15328, 0.148087, 0.14281,
15633  0.138748, 0.134431, 0.131816, 0.129203, 0.127218,
15634  0.12518, 0.123529, 0.122881, 0.12188, 0.121982,
15635  0.120906, 0.121516, 0.122353, 0.123619, 0.125451,
15636  0.127431, 0.129084, 0.132066, 0.135699, 0.13956,
15637  0.143884, 0.149081, 0.154219, 0.16153, 0.169266,
15638  0.178009, 0.187928, 0.199312, 0.210384, 0.224995,
15639  0.241034, 0.257517, 0.274855, 0.294986, 0.317137,
15640  0.339481, 0.362487, 0.386681, 0.410939, 0.432449,
15641  0.458355, 0.48092, 0.501053, 0.516313, 0.532194,
15642  0.545281, 0.554745, 0.562058, 0.565219, 0.569276,
15643  0.0429375, 0.305768, 0.800915, 1.12748, 1.21867,
15644  1.16225, 1.0465, 0.910288, 0.791108, 0.689006,
15645  0.602926, 0.529014, 0.466107, 0.415851, 0.372684,
15646  0.338039, 0.306466, 0.281939, 0.259311, 0.241101,
15647  0.224014, 0.209466, 0.196583, 0.185732, 0.1762,
15648  0.168102, 0.160644, 0.154675, 0.148955, 0.143826,
15649  0.139266, 0.135898, 0.132444, 0.129961, 0.127674,
15650  0.125634, 0.124434, 0.122906, 0.122571, 0.122122,
15651  0.122046, 0.122248, 0.123703, 0.124506, 0.126409,
15652  0.127767, 0.13049, 0.133084, 0.13624, 0.14013,
15653  0.144929, 0.149776, 0.156196, 0.162674, 0.170013,
15654  0.179582, 0.189877, 0.200359, 0.212865, 0.227782,
15655  0.2422, 0.259856, 0.27795, 0.298379, 0.320449,
15656  0.341815, 0.368059, 0.392839, 0.417822, 0.441425,
15657  0.465618, 0.487788, 0.508157, 0.527001, 0.541567,
15658  0.554977, 0.565474, 0.570668, 0.576452, 0.580082,
15659  0.0426268, 0.312197, 0.817585, 1.14993, 1.23596,
15660  1.17197, 1.04858, 0.922002, 0.800358, 0.693486,
15661  0.605588, 0.532515, 0.470358, 0.416491, 0.376296,
15662  0.338696, 0.308592, 0.282966, 0.260864, 0.241113,
15663  0.224398, 0.209653, 0.198541, 0.187318, 0.176637,
15664  0.16957, 0.161335, 0.154814, 0.149245, 0.144975,
15665  0.140037, 0.136451, 0.13308, 0.130622, 0.128584,
15666  0.126678, 0.125398, 0.124041, 0.123994, 0.123612,
15667  0.122822, 0.123342, 0.124424, 0.125917, 0.126876,
15668  0.128589, 0.131313, 0.134324, 0.137532, 0.141737,
15669  0.145513, 0.151599, 0.156722, 0.164645, 0.171862,
15670  0.180307, 0.190738, 0.202751, 0.215057, 0.228568,
15671  0.245229, 0.261991, 0.280099, 0.301536, 0.324426,
15672  0.347018, 0.372603, 0.398604, 0.42324, 0.448547,
15673  0.472173, 0.495147, 0.516755, 0.533086, 0.551393,
15674  0.56409, 0.573165, 0.582721, 0.587365, 0.589035,
15675  0.0422836, 0.318216, 0.832624, 1.16645, 1.25145,
15676  1.18675, 1.06269, 0.928225, 0.805162, 0.698412,
15677  0.608833, 0.535386, 0.471845, 0.420678, 0.377504,
15678  0.341341, 0.309483, 0.28412, 0.261337, 0.241906,
15679  0.22617, 0.212152, 0.199115, 0.188976, 0.178013,
15680  0.170032, 0.162694, 0.15548, 0.15008, 0.14547,
15681  0.140927, 0.137265, 0.134371, 0.131904, 0.12952,
15682  0.127346, 0.125976, 0.125316, 0.123715, 0.124073,
15683  0.123954, 0.124712, 0.124936, 0.126322, 0.127729,
15684  0.129843, 0.132265, 0.135025, 0.13885, 0.142801,
15685  0.147448, 0.152115, 0.157714, 0.165493, 0.172288,
15686  0.182619, 0.19173, 0.20362, 0.21628, 0.231414,
15687  0.247332, 0.265352, 0.283877, 0.304976, 0.326761,
15688  0.352252, 0.375779, 0.402932, 0.427671, 0.454751,
15689  0.480741, 0.502342, 0.524797, 0.544945, 0.561032,
15690  0.57294, 0.585314, 0.5926, 0.598949, 0.59917,
15691  0.0421132, 0.32404, 0.848772, 1.18553, 1.27167,
15692  1.20409, 1.07416, 0.937433, 0.811305, 0.702054,
15693  0.612047, 0.538364, 0.475727, 0.424068, 0.379335,
15694  0.343012, 0.311736, 0.285742, 0.262721, 0.243907,
15695  0.225765, 0.212588, 0.199375, 0.189874, 0.179519,
15696  0.171065, 0.163227, 0.156525, 0.150767, 0.146293,
15697  0.142512, 0.138035, 0.134788, 0.132243, 0.130205,
15698  0.128412, 0.126744, 0.125794, 0.125258, 0.124711,
15699  0.124631, 0.124999, 0.125533, 0.126963, 0.128716,
15700  0.131038, 0.132945, 0.135915, 0.139377, 0.14313,
15701  0.148026, 0.153443, 0.159818, 0.166328, 0.174427,
15702  0.183631, 0.193695, 0.206, 0.218605, 0.232802,
15703  0.249525, 0.26686, 0.287729, 0.307922, 0.33159,
15704  0.357633, 0.380809, 0.408072, 0.434184, 0.460509,
15705  0.485824, 0.510288, 0.532209, 0.55301, 0.570725,
15706  0.585642, 0.596143, 0.602934, 0.607795, 0.611746,
15707  0.0415523, 0.331443, 0.869027, 1.20361, 1.2817,
15708  1.21011, 1.08507, 0.944339, 0.817246, 0.706309,
15709  0.617824, 0.540774, 0.475285, 0.425982, 0.381995,
15710  0.344572, 0.313568, 0.288, 0.263541, 0.24368,
15711  0.228194, 0.213193, 0.200314, 0.189823, 0.179782,
15712  0.171902, 0.1646, 0.157298, 0.151983, 0.146688,
15713  0.143051, 0.139446, 0.135331, 0.13222, 0.130592,
15714  0.129211, 0.12728, 0.126471, 0.125482, 0.125061,
15715  0.125731, 0.1263, 0.126912, 0.127503, 0.129268,
15716  0.131182, 0.13383, 0.13718, 0.140248, 0.144545,
15717  0.149064, 0.154896, 0.160424, 0.166504, 0.175795,
15718  0.18485, 0.196143, 0.206188, 0.22033, 0.234582,
15719  0.250882, 0.269881, 0.290736, 0.311602, 0.333758,
15720  0.360632, 0.38532, 0.412625, 0.440529, 0.467899,
15721  0.495967, 0.517869, 0.541418, 0.562062, 0.578843,
15722  0.593062, 0.605958, 0.615136, 0.618808, 0.621114,
15723  0.0413044, 0.338208, 0.883745, 1.22784, 1.30645,
15724  1.2254, 1.09503, 0.953864, 0.823316, 0.711937,
15725  0.618659, 0.542707, 0.479448, 0.428788, 0.383119,
15726  0.345565, 0.315053, 0.289514, 0.265979, 0.245659,
15727  0.229059, 0.215198, 0.201916, 0.191171, 0.180571,
15728  0.172613, 0.165165, 0.158583, 0.152492, 0.148043,
15729  0.143517, 0.139861, 0.137048, 0.133671, 0.132282,
15730  0.129168, 0.128495, 0.126667, 0.1265, 0.126101,
15731  0.126515, 0.12647, 0.128101, 0.128459, 0.129748,
15732  0.131727, 0.134363, 0.137518, 0.141159, 0.145019,
15733  0.149285, 0.155483, 0.161992, 0.168652, 0.17663,
15734  0.186057, 0.196552, 0.208162, 0.221467, 0.236233,
15735  0.253322, 0.272076, 0.291523, 0.314313, 0.337175,
15736  0.362895, 0.389445, 0.416655, 0.446065, 0.473794,
15737  0.500432, 0.52604, 0.551149, 0.571106, 0.590172,
15738  0.60598, 0.616714, 0.62593, 0.630399, 0.631585,
15739  0.0409361, 0.345299, 0.89973, 1.24566, 1.32308,
15740  1.24102, 1.1011, 0.958352, 0.828388, 0.719033,
15741  0.623871, 0.546947, 0.483311, 0.429444, 0.385655,
15742  0.348589, 0.31688, 0.290333, 0.267398, 0.247843,
15743  0.229936, 0.215701, 0.202959, 0.192398, 0.18245,
15744  0.174345, 0.166276, 0.160117, 0.153675, 0.148929,
15745  0.143714, 0.141046, 0.137503, 0.134431, 0.132605,
15746  0.13061, 0.128928, 0.128024, 0.127033, 0.126624,
15747  0.127152, 0.127711, 0.128277, 0.129404, 0.131149,
15748  0.133615, 0.135595, 0.138245, 0.141889, 0.145789,
15749  0.151203, 0.156367, 0.162533, 0.1696, 0.177594,
15750  0.187298, 0.19852, 0.207963, 0.222918, 0.238825,
15751  0.255472, 0.274161, 0.295218, 0.316798, 0.342358,
15752  0.367935, 0.393956, 0.424369, 0.453398, 0.479422,
15753  0.506334, 0.536579, 0.558828, 0.580464, 0.599468,
15754  0.613568, 0.627398, 0.637873, 0.639535, 0.641846,
15755  0.0404587, 0.352595, 0.915321, 1.26784, 1.33762,
15756  1.25429, 1.11156, 0.968395, 0.835038, 0.722942,
15757  0.626506, 0.547012, 0.485873, 0.430897, 0.388732,
15758  0.350486, 0.318644, 0.290769, 0.267898, 0.247409,
15759  0.231642, 0.215954, 0.204469, 0.193122, 0.182868,
15760  0.173106, 0.166534, 0.160653, 0.154941, 0.149175,
15761  0.14552, 0.141726, 0.138154, 0.135699, 0.133389,
15762  0.131398, 0.129437, 0.128854, 0.127923, 0.127225,
15763  0.128063, 0.128715, 0.129108, 0.130421, 0.131525,
15764  0.134306, 0.136328, 0.139683, 0.142302, 0.147759,
15765  0.151382, 0.157317, 0.16336, 0.17044, 0.179623,
15766  0.189325, 0.198998, 0.210657, 0.225641, 0.241458,
15767  0.257691, 0.277687, 0.297672, 0.320288, 0.34478,
15768  0.371599, 0.400023, 0.429009, 0.458511, 0.486011,
15769  0.515341, 0.544034, 0.565894, 0.590004, 0.610754,
15770  0.627147, 0.639082, 0.648652, 0.653064, 0.653636,
15771  0.0402715, 0.358338, 0.935858, 1.28728, 1.36155,
15772  1.26576, 1.12165, 0.973596, 0.841352, 0.725969,
15773  0.630754, 0.553951, 0.488096, 0.434184, 0.389201,
15774  0.351458, 0.318782, 0.292356, 0.270079, 0.250515,
15775  0.232711, 0.217985, 0.205202, 0.194162, 0.184567,
15776  0.17666, 0.167544, 0.161633, 0.155153, 0.151132,
15777  0.146161, 0.141974, 0.139035, 0.135521, 0.133886,
15778  0.131991, 0.130059, 0.13008, 0.128473, 0.1288,
15779  0.128958, 0.129134, 0.129865, 0.131222, 0.132552,
15780  0.134509, 0.137588, 0.140813, 0.143685, 0.148578,
15781  0.152857, 0.158355, 0.164359, 0.172864, 0.17981,
15782  0.190476, 0.200173, 0.213229, 0.227397, 0.241747,
15783  0.259585, 0.278298, 0.300157, 0.3225, 0.348796,
15784  0.375048, 0.403443, 0.43254, 0.461493, 0.491334,
15785  0.522749, 0.549216, 0.57763, 0.601939, 0.61856,
15786  0.634483, 0.650959, 0.659031, 0.66403, 0.666207,
15787  0.0398905, 0.368275, 0.957227, 1.31124, 1.37811,
15788  1.2814, 1.13484, 0.978839, 0.845775, 0.730442,
15789  0.634944, 0.55876, 0.490952, 0.436056, 0.392984,
15790  0.355428, 0.322006, 0.294979, 0.27206, 0.250906,
15791  0.233283, 0.220092, 0.206949, 0.194549, 0.184332,
15792  0.176216, 0.168442, 0.161333, 0.155646, 0.151057,
15793  0.146857, 0.142746, 0.139896, 0.136421, 0.13432,
15794  0.133441, 0.130972, 0.129838, 0.12947, 0.129312,
15795  0.128922, 0.129567, 0.130409, 0.131523, 0.133194,
15796  0.135453, 0.138155, 0.141507, 0.144261, 0.14887,
15797  0.154129, 0.159265, 0.165662, 0.172392, 0.181737,
15798  0.190301, 0.202441, 0.214707, 0.228134, 0.243798,
15799  0.261004, 0.279853, 0.301873, 0.327123, 0.350467,
15800  0.381216, 0.408305, 0.437623, 0.469077, 0.498754,
15801  0.530364, 0.557696, 0.585645, 0.605508, 0.630075,
15802  0.647821, 0.65862, 0.66922, 0.675889, 0.675393,
15803  0.0396827, 0.374999, 0.973158, 1.33059, 1.39421,
15804  1.30023, 1.14747, 0.99122, 0.850976, 0.734671,
15805  0.639741, 0.558584, 0.492539, 0.437314, 0.393041,
15806  0.357529, 0.322532, 0.296955, 0.271946, 0.253014,
15807  0.236458, 0.219011, 0.208138, 0.196321, 0.185764,
15808  0.177788, 0.169002, 0.162947, 0.157123, 0.15173,
15809  0.147598, 0.143888, 0.14096, 0.137988, 0.136142,
15810  0.133495, 0.131945, 0.130959, 0.130552, 0.129738,
15811  0.130622, 0.131211, 0.130995, 0.13274, 0.134494,
15812  0.136011, 0.139019, 0.142264, 0.145108, 0.149749,
15813  0.154661, 0.159938, 0.167332, 0.173359, 0.182,
15814  0.192845, 0.203618, 0.21551, 0.229753, 0.244932,
15815  0.264783, 0.28263, 0.305854, 0.328962, 0.356313,
15816  0.382277, 0.412972, 0.442786, 0.471998, 0.506582,
15817  0.53672, 0.566218, 0.590744, 0.620539, 0.6396,
15818  0.65722, 0.669353, 0.681109, 0.686973, 0.690016,
15819  0.0393502, 0.381235, 0.990774, 1.35088, 1.41634,
15820  1.31158, 1.15408, 0.998049, 0.859697, 0.740333,
15821  0.643749, 0.565063, 0.497404, 0.441943, 0.396069,
15822  0.356261, 0.324348, 0.297295, 0.275009, 0.254297,
15823  0.236874, 0.220673, 0.206915, 0.196229, 0.186205,
15824  0.178149, 0.17056, 0.164115, 0.157638, 0.153086,
15825  0.148133, 0.14454, 0.141408, 0.138814, 0.135898,
15826  0.133994, 0.13315, 0.131817, 0.131005, 0.130758,
15827  0.130708, 0.13156, 0.132013, 0.133778, 0.135,
15828  0.137547, 0.140321, 0.142481, 0.146498, 0.150968,
15829  0.156115, 0.161673, 0.1675, 0.174487, 0.183478,
15830  0.193492, 0.20452, 0.217018, 0.231626, 0.246268,
15831  0.266204, 0.285897, 0.30895, 0.332216, 0.356501,
15832  0.386753, 0.419736, 0.446336, 0.478671, 0.511844,
15833  0.544426, 0.574504, 0.601386, 0.625534, 0.651379,
15834  0.670409, 0.681197, 0.691244, 0.696975, 0.700887,
15835  0.039046, 0.391417, 1.00878, 1.37355, 1.42951,
15836  1.32898, 1.16827, 1.00683, 0.864291, 0.748154,
15837  0.644679, 0.565562, 0.498941, 0.443026, 0.398139,
15838  0.359972, 0.326323, 0.298439, 0.276184, 0.25445,
15839  0.238226, 0.223263, 0.209319, 0.198215, 0.189019,
15840  0.17892, 0.171568, 0.164625, 0.159338, 0.153739,
15841  0.149164, 0.145668, 0.142178, 0.139534, 0.137184,
15842  0.135005, 0.133683, 0.132308, 0.131773, 0.13126,
15843  0.130953, 0.131214, 0.133029, 0.133826, 0.136213,
15844  0.138398, 0.141157, 0.143313, 0.147385, 0.151785,
15845  0.156133, 0.162694, 0.168884, 0.177474, 0.185299,
15846  0.194753, 0.205752, 0.219391, 0.232683, 0.248986,
15847  0.267648, 0.287156, 0.310868, 0.3348, 0.362288,
15848  0.389785, 0.4212, 0.454221, 0.484699, 0.517243,
15849  0.551351, 0.579884, 0.610575, 0.637247, 0.659416,
15850  0.680015, 0.690458, 0.702973, 0.708414, 0.713165,
15851  0.0389358, 0.397952, 1.0301, 1.39631, 1.45303,
15852  1.34165, 1.17139, 1.01445, 0.869641, 0.751521,
15853  0.65062, 0.570546, 0.500607, 0.44653, 0.399988,
15854  0.359951, 0.329916, 0.299152, 0.27707, 0.254578,
15855  0.238006, 0.223773, 0.209815, 0.198487, 0.188393,
15856  0.179487, 0.172219, 0.165127, 0.159538, 0.154672,
15857  0.149667, 0.145457, 0.143036, 0.139825, 0.13834,
15858  0.13547, 0.133932, 0.133238, 0.132198, 0.132543,
15859  0.132294, 0.133185, 0.133604, 0.134773, 0.136203,
15860  0.138652, 0.140728, 0.1444, 0.14868, 0.152372,
15861  0.157375, 0.16294, 0.169679, 0.177472, 0.18623,
15862  0.196254, 0.207314, 0.220173, 0.234363, 0.251896,
15863  0.269683, 0.290007, 0.312122, 0.338359, 0.365455,
15864  0.395256, 0.425867, 0.45625, 0.494281, 0.524824,
15865  0.558077, 0.590164, 0.62055, 0.645228, 0.670272,
15866  0.688785, 0.705589, 0.715335, 0.719621, 0.723659,
15867  0.0384812, 0.406478, 1.04733, 1.41925, 1.47106,
15868  1.34979, 1.18971, 1.02183, 0.876032, 0.753278,
15869  0.657601, 0.57275, 0.504809, 0.44899, 0.402208,
15870  0.363473, 0.328702, 0.302323, 0.277797, 0.257779,
15871  0.238926, 0.224046, 0.211186, 0.199415, 0.189939,
15872  0.181159, 0.173112, 0.165701, 0.16027, 0.155056,
15873  0.151236, 0.14642, 0.143101, 0.140905, 0.138239,
15874  0.136568, 0.135504, 0.134086, 0.133409, 0.132367,
15875  0.133251, 0.133139, 0.135013, 0.135609, 0.137914,
15876  0.139674, 0.142605, 0.145383, 0.14906, 0.153408,
15877  0.158207, 0.164067, 0.170429, 0.17811, 0.187421,
15878  0.197486, 0.207973, 0.222023, 0.235583, 0.253386,
15879  0.272304, 0.291043, 0.315953, 0.341195, 0.367596,
15880  0.398753, 0.430809, 0.46364, 0.498742, 0.532255,
15881  0.565387, 0.599418, 0.630407, 0.655634, 0.67916,
15882  0.698432, 0.714526, 0.724314, 0.7339, 0.735574,
15883  0.0383241, 0.414585, 1.06919, 1.44017, 1.48121,
15884  1.37429, 1.20019, 1.03148, 0.880668, 0.760657,
15885  0.659466, 0.574412, 0.504717, 0.449036, 0.404823,
15886  0.363904, 0.331135, 0.301628, 0.279123, 0.258391,
15887  0.241547, 0.225003, 0.213254, 0.200184, 0.190836,
15888  0.181642, 0.173587, 0.166795, 0.16105, 0.15572,
15889  0.151199, 0.147893, 0.144192, 0.141259, 0.138953,
15890  0.137023, 0.136175, 0.134933, 0.132766, 0.133487,
15891  0.134371, 0.134636, 0.135285, 0.135896, 0.138932,
15892  0.140315, 0.143258, 0.145787, 0.149887, 0.154631,
15893  0.158622, 0.164353, 0.172007, 0.178896, 0.187404,
15894  0.19875, 0.209589, 0.223636, 0.238077, 0.254146,
15895  0.273197, 0.295928, 0.317589, 0.343721, 0.370454,
15896  0.402295, 0.434382, 0.469153, 0.503741, 0.540102,
15897  0.575468, 0.6068, 0.637434, 0.663996, 0.690439,
15898  0.711201, 0.725695, 0.737511, 0.744249, 0.74791,
15899  0.0379617, 0.423984, 1.08697, 1.46123, 1.50312,
15900  1.37764, 1.21019, 1.03511, 0.885896, 0.76662,
15901  0.660511, 0.57675, 0.508477, 0.452429, 0.4053,
15902  0.364635, 0.331771, 0.304216, 0.280615, 0.259512,
15903  0.242, 0.226863, 0.213906, 0.20185, 0.191378,
15904  0.18253, 0.174459, 0.168065, 0.162113, 0.157225,
15905  0.152654, 0.148538, 0.144561, 0.141741, 0.139133,
15906  0.137407, 0.136762, 0.135412, 0.134271, 0.134029,
15907  0.134192, 0.135329, 0.135597, 0.137326, 0.138158,
15908  0.141078, 0.144191, 0.1472, 0.150322, 0.155523,
15909  0.159831, 0.166101, 0.172359, 0.180636, 0.189326,
15910  0.199914, 0.212329, 0.223666, 0.239419, 0.255255,
15911  0.274934, 0.297702, 0.321018, 0.345982, 0.375552,
15912  0.405696, 0.439602, 0.472745, 0.509827, 0.543672,
15913  0.580082, 0.612505, 0.644786, 0.676648, 0.701349,
15914  0.720376, 0.737958, 0.751421, 0.75597, 0.76076,
15915  0.0377345, 0.431259, 1.11169, 1.48332, 1.52055,
15916  1.391, 1.21724, 1.04524, 0.895833, 0.768973,
15917  0.668347, 0.57977, 0.51144, 0.453714, 0.407893,
15918  0.368356, 0.336043, 0.307514, 0.282852, 0.260228,
15919  0.243329, 0.226841, 0.214737, 0.202584, 0.192503,
15920  0.183406, 0.175832, 0.168436, 0.162847, 0.157546,
15921  0.153271, 0.149, 0.144573, 0.142914, 0.140044,
15922  0.137537, 0.137966, 0.136015, 0.135632, 0.134766,
15923  0.134459, 0.135791, 0.137172, 0.138084, 0.139957,
15924  0.142025, 0.144553, 0.147242, 0.151631, 0.156023,
15925  0.161077, 0.165835, 0.173838, 0.181537, 0.189606,
15926  0.200558, 0.211844, 0.224854, 0.241011, 0.258422,
15927  0.276548, 0.297373, 0.321688, 0.348999, 0.377423,
15928  0.410806, 0.443739, 0.477912, 0.513644, 0.550626,
15929  0.587971, 0.621339, 0.655085, 0.685036, 0.708765,
15930  0.731662, 0.752249, 0.761896, 0.767615, 0.76996,
15931  0.0374406, 0.44157, 1.12617, 1.50213, 1.546,
15932  1.40542, 1.22791, 1.05064, 0.900511, 0.772412,
15933  0.670192, 0.585642, 0.515272, 0.457931, 0.408083,
15934  0.37069, 0.334911, 0.307983, 0.285006, 0.261369,
15935  0.244751, 0.228015, 0.214936, 0.20352, 0.192733,
15936  0.183759, 0.17668, 0.169648, 0.16396, 0.158173,
15937  0.15389, 0.149776, 0.146693, 0.143691, 0.141127,
15938  0.138886, 0.138412, 0.136239, 0.135903, 0.135657,
15939  0.135336, 0.136699, 0.137281, 0.138434, 0.14021,
15940  0.142202, 0.145129, 0.148579, 0.152075, 0.156351,
15941  0.161476, 0.167541, 0.175113, 0.182112, 0.191954,
15942  0.200743, 0.213449, 0.227713, 0.24154, 0.258448,
15943  0.278797, 0.30125, 0.324995, 0.350714, 0.382155,
15944  0.413006, 0.448223, 0.482636, 0.517949, 0.555812,
15945  0.596429, 0.629976, 0.663641, 0.695789, 0.719609,
15946  0.745046, 0.76079, 0.773873, 0.779142, 0.782978,
15947  0.0370449, 0.449142, 1.14733, 1.52739, 1.56181,
15948  1.42377, 1.23655, 1.06092, 0.907543, 0.774098,
15949  0.672453, 0.587857, 0.516492, 0.460295, 0.412728,
15950  0.370785, 0.33718, 0.311117, 0.283939, 0.263642,
15951  0.244882, 0.229719, 0.216075, 0.204022, 0.195561,
15952  0.184624, 0.176484, 0.169405, 0.164352, 0.158436,
15953  0.154353, 0.150373, 0.147155, 0.144409, 0.141562,
15954  0.139939, 0.138106, 0.137188, 0.136723, 0.136505,
15955  0.136289, 0.137221, 0.137679, 0.138732, 0.141245,
15956  0.143027, 0.146369, 0.148988, 0.15308, 0.15741,
15957  0.163034, 0.168271, 0.175643, 0.183953, 0.192491,
15958  0.203315, 0.216136, 0.229245, 0.244127, 0.260822,
15959  0.279805, 0.304459, 0.3267, 0.354814, 0.384957,
15960  0.416968, 0.450454, 0.487547, 0.525171, 0.563648,
15961  0.601561, 0.638815, 0.672652, 0.706004, 0.734202,
15962  0.751894, 0.769617, 0.785773, 0.791249, 0.798543,
15963  0.0371269, 0.458572, 1.17075, 1.54582, 1.57867,
15964  1.44005, 1.25049, 1.06506, 0.911829, 0.780843,
15965  0.675591, 0.591895, 0.519966, 0.461054, 0.413849,
15966  0.372146, 0.339471, 0.310632, 0.285495, 0.264294,
15967  0.246762, 0.231047, 0.217011, 0.205575, 0.19483,
15968  0.186056, 0.178067, 0.171472, 0.16522, 0.159483,
15969  0.155172, 0.15152, 0.147489, 0.14554, 0.14299,
15970  0.140587, 0.138915, 0.13775, 0.137638, 0.137385,
15971  0.137112, 0.137076, 0.138778, 0.139591, 0.142497,
15972  0.143996, 0.146472, 0.150016, 0.15415, 0.157581,
15973  0.16372, 0.169153, 0.176669, 0.184339, 0.194161,
15974  0.204904, 0.21605, 0.228503, 0.244977, 0.262336,
15975  0.281776, 0.305954, 0.328765, 0.358021, 0.388732,
15976  0.418268, 0.457253, 0.49287, 0.532145, 0.569112,
15977  0.608196, 0.647016, 0.679832, 0.715464, 0.742327,
15978  0.764153, 0.785541, 0.797006, 0.804987, 0.80567,
15979  0.036821, 0.466515, 1.1948, 1.57537, 1.60883,
15980  1.45464, 1.25848, 1.08104, 0.916702, 0.786311,
15981  0.682177, 0.592692, 0.523859, 0.464963, 0.416995,
15982  0.37573, 0.340756, 0.311946, 0.28733, 0.265876,
15983  0.247546, 0.23207, 0.218769, 0.206701, 0.195794,
15984  0.186846, 0.178491, 0.17065, 0.165507, 0.161137,
15985  0.15556, 0.15145, 0.148371, 0.145968, 0.142484,
15986  0.140707, 0.13966, 0.138246, 0.138007, 0.138303,
15987  0.138083, 0.138287, 0.139859, 0.140706, 0.142542,
15988  0.14465, 0.147571, 0.149939, 0.155008, 0.158722,
15989  0.164029, 0.170325, 0.177171, 0.184982, 0.194677,
15990  0.204942, 0.217902, 0.230529, 0.246386, 0.263876,
15991  0.284157, 0.306583, 0.331101, 0.35878, 0.39078,
15992  0.425097, 0.459743, 0.497362, 0.537025, 0.575549,
15993  0.617793, 0.655024, 0.691946, 0.723926, 0.75207,
15994  0.775531, 0.795313, 0.806882, 0.815492, 0.820983,
15995  0.0365668, 0.476257, 1.2198, 1.59983, 1.61889,
15996  1.46623, 1.27222, 1.08552, 0.926455, 0.791962,
15997  0.683347, 0.59829, 0.525186, 0.467277, 0.418516,
15998  0.376423, 0.3433, 0.314238, 0.287989, 0.267281,
15999  0.24821, 0.23263, 0.219716, 0.208672, 0.196771,
16000  0.187365, 0.179823, 0.17275, 0.166977, 0.161007,
16001  0.156479, 0.152971, 0.149575, 0.146513, 0.144069,
16002  0.142378, 0.139865, 0.139006, 0.138859, 0.138909,
16003  0.138978, 0.139152, 0.140677, 0.141792, 0.142976,
16004  0.144713, 0.147533, 0.151135, 0.155388, 0.159079,
16005  0.165213, 0.170925, 0.178178, 0.186502, 0.196833,
16006  0.205083, 0.218215, 0.231584, 0.248717, 0.265224,
16007  0.287198, 0.308954, 0.334276, 0.363379, 0.393255,
16008  0.426336, 0.464684, 0.503585, 0.541326, 0.581806,
16009  0.624638, 0.660469, 0.700498, 0.734511, 0.760104,
16010  0.786185, 0.805433, 0.820491, 0.825543, 0.830977,
16011  0.0361777, 0.486865, 1.24085, 1.62174, 1.63553,
16012  1.48346, 1.27801, 1.09032, 0.92771, 0.794871,
16013  0.688502, 0.601466, 0.526745, 0.467365, 0.419736,
16014  0.377931, 0.344348, 0.315797, 0.290166, 0.26927,
16015  0.250922, 0.233199, 0.219938, 0.208032, 0.19763,
16016  0.188645, 0.1807, 0.173744, 0.167823, 0.161999,
16017  0.15781, 0.153551, 0.150496, 0.146643, 0.14368,
16018  0.142901, 0.141593, 0.139913, 0.139149, 0.13862,
16019  0.139006, 0.140324, 0.141199, 0.142236, 0.14391,
16020  0.14656, 0.149038, 0.153189, 0.156532, 0.161027,
16021  0.1671, 0.172703, 0.179385, 0.187422, 0.197634,
16022  0.207425, 0.220034, 0.23356, 0.248992, 0.266714,
16023  0.287031, 0.309362, 0.336823, 0.365011, 0.395905,
16024  0.433482, 0.468047, 0.509259, 0.5488, 0.589237,
16025  0.628779, 0.675233, 0.708418, 0.743845, 0.77245,
16026  0.799668, 0.81913, 0.832975, 0.841344, 0.846431};
16027 
16030 static std::unique_ptr<InterpolateDataLinear<double>>
16032  pipi_pi0pi0_interpolation = nullptr;
16033 static std::unique_ptr<InterpolateData2DSpline>
16034  pipi_pi0pi0_dsigma_dk_interpolation = nullptr;
16035 static std::unique_ptr<InterpolateData2DSpline>
16036  pipi_pi0pi0_dsigma_dtheta_interpolation = nullptr;
16038 
16040 const std::initializer_list<double> BREMS_PIPI_PI0PI0_SIG = {
16041  0.0152699, 0.0259448, 0.0384348, 0.052547, 0.0692103, 0.0872664, 0.106869,
16042  0.126799, 0.148176, 0.170243, 0.204251, 0.248689, 0.292045, 0.33459,
16043  0.37391, 0.416693, 0.456083, 0.497476, 0.537993, 0.580317, 0.619726,
16044  0.659204, 0.7018, 0.741062, 0.778036, 0.836058, 0.897841, 0.955687,
16045  1.01917, 1.07727, 1.13161, 1.1917, 1.25024, 1.29937, 1.35371,
16046  1.41883, 1.47125, 1.53586, 1.59576, 1.64848, 1.70646, 1.77268,
16047  1.85701, 1.93583, 2.01616, 2.11101, 2.18931, 2.25181, 2.29809,
16048  2.30228, 2.27633, 2.20878, 2.14163, 2.06014, 1.99157, 1.93823,
16049  1.91267, 1.88557, 1.87612, 1.87528, 1.87886, 1.89986, 1.93085,
16050  1.95165, 1.97324, 2.00726, 2.02545, 2.06534, 2.08355, 2.11974,
16051  2.13463, 2.1766, 2.19956, 2.22354, 2.24965, 2.28936, 2.31101,
16052  2.33992, 2.35055, 2.41208, 2.42755, 2.45274, 2.51005, 2.53034,
16053  2.56136, 2.57941, 2.62596, 2.62999, 2.68332, 2.66962, 2.72806,
16054  2.75063, 2.80483, 2.80213, 2.85754, 2.85282, 2.91773, 2.92956,
16055  2.98904, 2.9962, 3.03775, 3.06362, 3.09631, 3.10232, 3.14489,
16056  3.15515, 3.21253, 3.23744, 3.26289, 3.30199, 3.33796, 3.34589,
16057  3.41176, 3.38807, 3.4167, 3.4918, 3.48353, 3.51867, 3.50543,
16058  3.62999, 3.63459, 3.66649, 3.71457, 3.7171, 3.64528, 3.75083,
16059  3.79273, 3.80941, 3.86706, 3.91261, 3.93758, 3.9553, 4.01922,
16060  3.98715, 4.04625, 4.08893, 4.043, 4.11473, 4.17572, 4.23481,
16061  4.198, 4.26506, 4.32608, 4.31905, 4.35795, 4.39544, 4.46374,
16062  4.47, 4.51052, 4.57134, 4.54687, 4.63948, 4.63193, 4.63233,
16063  4.72082, 4.63898, 4.79109, 4.7336, 4.77684, 4.84713, 4.88051,
16064  4.89881, 4.81564, 5.04788, 5.02536, 5.06859, 5.06633, 5.07895,
16065  5.23224, 5.19388};
16066 
16068 const std::initializer_list<double> BREMS_PIPI_PI0PI0_DIFF_SIG_K = {
16069  6.08227, 5.60471, 5.2709, 4.91298, 4.58357, 4.28566, 3.98188,
16070  3.68925, 3.40394, 3.13551, 2.91202, 2.70807, 2.53249, 2.3349,
16071  2.15787, 2.01115, 1.8643, 1.69851, 1.57707, 1.47239, 1.3526,
16072  1.23881, 1.1528, 1.05193, 0.959344, 0.886136, 0.819552, 0.740729,
16073  0.67546, 0.620594, 0.564048, 0.510585, 0.468492, 0.417564, 0.371825,
16074  0.330304, 0.29668, 0.261465, 0.228921, 0.19744, 0.165414, 0.139105,
16075  0.111385, 0.0844302, 0.0, 0.0, 0.0, 0.0, 0.0,
16076  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16077  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16078  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16079  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16080  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16081  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16082  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16083  0.0, 0.0, 9.5057, 8.83579, 8.11746, 7.48627, 6.99952,
16084  6.47759, 5.98779, 5.62939, 5.24509, 4.89397, 4.54012, 4.20592,
16085  3.88434, 3.60915, 3.34944, 3.10287, 2.86673, 2.65212, 2.4801,
16086  2.29053, 2.13583, 1.94865, 1.8097, 1.66228, 1.5443, 1.42699,
16087  1.30018, 1.20389, 1.10941, 1.01291, 0.927514, 0.842577, 0.773277,
16088  0.706962, 0.644451, 0.577393, 0.518099, 0.476626, 0.428288, 0.378152,
16089  0.334869, 0.296625, 0.257633, 0.226735, 0.191827, 0.162154, 0.132361,
16090  0.104039, 0.0768089, 0.0, 0.0, 0.0, 0.0, 0.0,
16091  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16092  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16093  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16094  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16095  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16096  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16097  0.0, 0.0, 0.0, 0.0, 13.2902, 12.1901, 11.0105,
16098  10.4278, 9.83509, 9.1996, 8.51818, 7.93627, 7.32067, 6.66059,
16099  6.22458, 5.81888, 5.40829, 5.04251, 4.65834, 4.34557, 4.02827,
16100  3.76847, 3.5, 3.22356, 2.99657, 2.77276, 2.57079, 2.38471,
16101  2.18727, 2.03275, 1.8559, 1.70725, 1.57397, 1.45472, 1.33391,
16102  1.21947, 1.12996, 1.02583, 0.940071, 0.857537, 0.777393, 0.716087,
16103  0.636226, 0.580871, 0.524039, 0.464406, 0.415861, 0.367106, 0.323631,
16104  0.284972, 0.251259, 0.21159, 0.180655, 0.147683, 0.12019, 0.0895857,
16105  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16106  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16107  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16108  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16109  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16110  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16111  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.8806,
16112  16.0013, 15.0584, 14.0475, 12.9634, 11.9201, 11.2289, 10.4877,
16113  9.69295, 8.91506, 8.36032, 7.76549, 7.14826, 6.70923, 6.23847,
16114  5.76854, 5.29786, 4.87035, 4.56377, 4.25929, 3.96273, 3.65724,
16115  3.3579, 3.09863, 2.89895, 2.67793, 2.48479, 2.30461, 2.10734,
16116  1.92834, 1.78167, 1.6473, 1.50802, 1.37868, 1.27527, 1.16593,
16117  1.06001, 0.967613, 0.880774, 0.805441, 0.733065, 0.659193, 0.587575,
16118  0.525243, 0.477306, 0.424293, 0.373559, 0.328633, 0.286225, 0.243334,
16119  0.209002, 0.173741, 0.141862, 0.113127, 0.0836666, 0.0, 0.0,
16120  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16121  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16122  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16123  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16124  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16125  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16126  0.0, 22.664, 20.2497, 18.6062, 17.5947, 16.51, 15.3469,
16127  14.0998, 12.7626, 12.0283, 11.2541, 10.4238, 9.53363, 8.94119,
16128  8.31585, 7.64531, 7.17813, 6.72476, 6.26704, 5.85217, 5.41113,
16129  4.97243, 4.54627, 4.257, 3.96926, 3.68204, 3.41251, 3.1528,
16130  2.91226, 2.68676, 2.46206, 2.26476, 2.09425, 1.93619, 1.7802,
16131  1.63904, 1.50517, 1.35958, 1.24567, 1.13833, 1.05362, 0.95328,
16132  0.868788, 0.780384, 0.698264, 0.636067, 0.567063, 0.509782, 0.447487,
16133  0.401127, 0.350906, 0.304051, 0.259344, 0.222779, 0.184802, 0.150293,
16134  0.117936, 0.0881917, 0.0, 0.0, 0.0, 0.0, 0.0,
16135  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16136  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16137  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16138  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16139  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16140  0.0, 0.0, 0.0, 28.6884, 26.3706, 23.8852, 21.2203,
16141  19.6245, 18.5573, 17.4131, 16.1861, 14.8705, 13.5208, 12.7438,
16142  11.9106, 11.0173, 10.09, 9.47018, 8.80553, 8.09285, 7.58234,
16143  7.04885, 6.5332, 6.07429, 5.61297, 5.24008, 4.8582, 4.48847,
16144  4.14835, 3.82329, 3.52109, 3.25811, 3.02146, 2.81401, 2.60475,
16145  2.3896, 2.20575, 2.02219, 1.85459, 1.71845, 1.56538, 1.42151,
16146  1.30697, 1.19962, 1.10203, 0.985233, 0.904142, 0.811373, 0.724676,
16147  0.655118, 0.584871, 0.522663, 0.465657, 0.404153, 0.353129, 0.308024,
16148  0.264046, 0.221711, 0.182156, 0.150627, 0.117195, 0.0862325, 0.0,
16149  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16150  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16151  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16152  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16153  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16154  0.0, 0.0, 0.0, 0.0, 0.0, 33.7078, 31.6272,
16155  29.3964, 27.0043, 24.4393, 21.7424, 20.6432, 19.4647, 18.2009,
16156  16.8459, 15.3929, 14.1842, 13.337, 12.4285, 11.4544, 10.5779,
16157  9.861, 9.09226, 8.37197, 7.83968, 7.26893, 6.77662, 6.29156,
16158  5.84032, 5.41089, 5.00139, 4.58831, 4.25066, 3.93635, 3.64646,
16159  3.33934, 3.123, 2.89541, 2.6831, 2.46809, 2.23248, 2.08566,
16160  1.89905, 1.73613, 1.59234, 1.46439, 1.32996, 1.22206, 1.1011,
16161  0.988216, 0.909899, 0.812369, 0.729773, 0.660991, 0.588254, 0.518864,
16162  0.463536, 0.402011, 0.34862, 0.299518, 0.253719, 0.213243, 0.174503,
16163  0.140917, 0.106572, 0.0745226, 0.0, 0.0, 0.0, 0.0,
16164  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16165  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16166  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16167  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16168  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16169  38.1432, 36.1807, 34.0762, 31.8198, 29.4002, 26.8058, 24.0239,
16170  22.1247, 20.8779, 19.541, 18.1074, 16.5703, 14.9252, 14.1189,
16171  13.2543, 12.3273, 11.3333, 10.6341, 9.88614, 9.08414, 8.49444,
16172  7.90513, 7.30739, 6.74889, 6.18341, 5.82048, 5.43784, 5.04946,
16173  4.66255, 4.27838, 3.96358, 3.66463, 3.37914, 3.12003, 2.89303,
16174  2.66318, 2.45733, 2.26299, 2.06287, 1.90472, 1.75068, 1.59537,
16175  1.4281, 1.32602, 1.19393, 1.08942, 0.988246, 0.892648, 0.801813,
16176  0.71832, 0.640038, 0.567761, 0.504222, 0.442735, 0.386441, 0.326862,
16177  0.281742, 0.237428, 0.194852, 0.159405, 0.125432, 0.0897715, 0.0,
16178  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16179  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16180  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16181  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16182  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16183  0.0, 0.0, 42.8275, 40.866, 38.7627, 36.5074, 34.0891,
16184  31.4961, 28.7157, 25.7343, 23.1829, 22.0054, 20.7429, 19.389,
16185  17.9374, 16.3808, 15.272, 14.3126, 13.2839, 12.1808, 11.3373,
16186  10.5773, 9.76233, 9.06944, 8.46218, 7.81308, 7.27266, 6.69319,
16187  6.23211, 5.7699, 5.36121, 4.95923, 4.61168, 4.24373, 3.91935,
16188  3.65398, 3.32794, 3.06246, 2.81432, 2.60722, 2.43506, 2.20392,
16189  2.00202, 1.85737, 1.69877, 1.55909, 1.41623, 1.28546, 1.16452,
16190  1.06997, 0.955132, 0.864249, 0.769138, 0.682113, 0.610821, 0.542656,
16191  0.477496, 0.412061, 0.358506, 0.300361, 0.253339, 0.213674, 0.170349,
16192  0.133595, 0.0988938, 0.0, 0.0, 0.0, 0.0, 0.0,
16193  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16194  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16195  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16196  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16197  0.0, 0.0, 0.0, 0.0, 46.646, 44.796, 42.8123,
16198  40.6853, 38.4045, 35.9589, 33.3366, 30.5248, 27.5097, 24.5731,
16199  23.3123, 21.9604, 20.5108, 18.9565, 17.2898, 16.0321, 15.1209,
16200  14.144, 13.0964, 12.1584, 11.3107, 10.4018, 9.59004, 8.9529,
16201  8.26972, 7.67349, 7.05847, 6.56367, 6.11439, 5.69293, 5.26953,
16202  4.90505, 4.50759, 4.12268, 3.83635, 3.55232, 3.24315, 2.99315,
16203  2.75628, 2.53265, 2.33191, 2.14452, 1.97028, 1.79701, 1.64846,
16204  1.49731, 1.37228, 1.23441, 1.12575, 1.00629, 0.910441, 0.816327,
16205  0.719713, 0.646333, 0.568998, 0.496701, 0.44001, 0.375437, 0.321243,
16206  0.268511, 0.224076, 0.179576, 0.14255, 0.104877, 0.0715706, 0.0,
16207  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16208  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16209  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16210  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16211  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 74.4589,
16212  49.1316, 47.1679, 45.0623, 42.8045, 40.3836, 37.7877, 35.0042,
16213  32.0195, 28.8192, 25.5793, 24.2713, 22.8688, 21.365, 19.7524,
16214  18.0234, 16.6469, 15.6649, 14.6119, 13.4827, 12.5135, 11.7321,
16215  10.8942, 10.0938, 9.41303, 8.68311, 8.0587, 7.43081, 6.90103,
16216  6.42347, 5.95002, 5.46637, 5.09002, 4.71001, 4.3412, 4.0216,
16217  3.69091, 3.41225, 3.15656, 2.90981, 2.62893, 2.439, 2.23857,
16218  2.07469, 1.87183, 1.70376, 1.56419, 1.41549, 1.28782, 1.15038,
16219  1.0451, 0.935022, 0.850979, 0.756377, 0.673502, 0.585409, 0.520836,
16220  0.451894, 0.390951, 0.331058, 0.281087, 0.23406, 0.188111, 0.145622,
16221  0.106467, 0.0743447, 0.0, 0.0, 0.0, 0.0, 0.0,
16222  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16223  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16224  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16225  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16226  0.0, 113.961, 75.9832, 50.6834, 48.6689, 46.5088, 44.1925,
16227  41.7089, 39.0458, 36.1902, 33.1283, 29.8451, 26.6001, 25.2958,
16228  23.8972, 22.3976, 20.7896, 19.0654, 17.6577, 16.5497, 15.3616,
16229  14.0876, 13.0372, 12.2073, 11.3174, 10.4659, 9.71543, 8.91068,
16230  8.31118, 7.72451, 7.19816, 6.69023, 6.1853, 5.66913, 5.23829,
16231  4.86228, 4.52662, 4.19387, 3.85332, 3.50203, 3.22291, 2.9718,
16232  2.75977, 2.52753, 2.32046, 2.0937, 1.93928, 1.77031, 1.6087,
16233  1.47759, 1.33007, 1.20794, 1.08706, 0.973607, 0.865177, 0.777799,
16234  0.685731, 0.603214, 0.530996, 0.463277, 0.397225, 0.342779, 0.287911,
16235  0.236842, 0.187958, 0.149576, 0.109798, 0.0722144, 0.0, 0.0,
16236  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16237  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16238  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16239  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16240  0.0, 0.0, 0.0, 150.021, 113.576, 74.4962, 52.7274,
16241  50.6332, 48.3876, 45.9797, 43.3979, 40.6294, 37.6609, 34.4778,
16242  31.0647, 27.9293, 26.4658, 24.8966, 23.2139, 21.4097, 19.4751,
16243  18.0664, 16.9459, 15.7444, 14.4561, 13.4185, 12.5143, 11.5448,
16244  10.6878, 9.95627, 9.17186, 8.58483, 7.97345, 7.39951, 6.81082,
16245  6.32114, 5.84425, 5.44084, 5.0111, 4.60691, 4.27669, 3.91415,
16246  3.59842, 3.31951, 3.05819, 2.83697, 2.58147, 2.34896, 2.16953,
16247  1.99979, 1.82087, 1.65606, 1.49664, 1.35441, 1.23625, 1.10742,
16248  1.00009, 0.892285, 0.790242, 0.700089, 0.610855, 0.542648, 0.466057,
16249  0.401667, 0.340013, 0.284996, 0.233605, 0.185714, 0.146978, 0.107536,
16250  0.131644, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16251  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16252  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16253  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16254  0.0, 0.0, 0.0, 0.0, 0.0, 186.19, 150.128,
16255  111.459, 69.9963, 54.0928, 51.8791, 49.5054, 46.9601, 44.2309,
16256  41.3045, 38.1666, 34.802, 31.1942, 28.3131, 26.8037, 25.1853,
16257  23.45, 21.5892, 19.5939, 18.3494, 17.2332, 16.0365, 14.7532,
16258  13.7727, 12.8228, 11.8042, 10.9583, 10.1753, 9.36288, 8.72895,
16259  8.0492, 7.49927, 6.92752, 6.41127, 5.9211, 5.50583, 5.09485,
16260  4.72029, 4.38425, 4.03946, 3.65608, 3.42444, 3.10825, 2.84331,
16261  2.61164, 2.41905, 2.22147, 2.03097, 1.83729, 1.6633, 1.53123,
16262  1.37757, 1.24972, 1.12702, 1.00758, 0.899528, 0.797358, 0.712403,
16263  0.62226, 0.546098, 0.471356, 0.402211, 0.341799, 0.281773, 0.231901,
16264  0.184509, 0.139722, 0.1017, 0.0, 0.0, 0.0, 0.0,
16265  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16266  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16267  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16268  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16269  215.22, 180.815, 143.924, 104.366, 61.95, 55.2414, 52.908,
16270  50.406, 47.7232, 44.8465, 41.7619, 38.4544, 34.9079, 31.1051,
16271  28.6691, 27.1025, 25.4227, 23.6215, 21.6901, 19.6575, 18.5568,
16272  17.3766, 16.1111, 14.7687, 13.8627, 12.8913, 11.8497, 11.0504,
16273  10.2303, 9.45818, 8.85334, 8.21959, 7.62258, 7.0236, 6.4979,
16274  6.02212, 5.57919, 5.1605, 4.7543, 4.37087, 4.03707, 3.74234,
16275  3.42832, 3.15722, 2.91628, 2.67822, 2.43877, 2.23437, 2.05449,
16276  1.85969, 1.68719, 1.53551, 1.39598, 1.24702, 1.12656, 1.0168,
16277  0.903398, 0.804487, 0.721164, 0.624819, 0.542774, 0.464844, 0.400278,
16278  0.331793, 0.27627, 0.224891, 0.176715, 0.134963, 0.0925906, 0.0,
16279  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16280  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16281  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16282  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16283  0.0, 0.0, 248.326, 214.187, 177.58, 138.328, 96.2395,
16284  58.5015, 56.2155, 53.7642, 51.1358, 48.3175, 45.2955, 42.0551,
16285  38.5805, 34.8548, 30.8599, 29.0717, 27.4599, 25.7317, 23.8786,
16286  21.8916, 20.0835, 18.8863, 17.6026, 16.2261, 14.9385, 14.0078,
16287  13.0098, 12.0013, 11.2232, 10.3889, 9.65699, 8.98111, 8.31566,
16288  7.68298, 7.10336, 6.568, 6.10617, 5.64745, 5.19163, 4.80214,
16289  4.42256, 4.08026, 3.74862, 3.45349, 3.15112, 2.89436, 2.66672,
16290  2.4453, 2.24703, 2.05463, 1.8574, 1.68764, 1.53605, 1.3842,
16291  1.24756, 1.13541, 1.00258, 0.903899, 0.79917, 0.706236, 0.609329,
16292  0.533989, 0.457436, 0.39175, 0.327297, 0.269553, 0.216398, 0.167984,
16293  0.125237, 0.0835404, 0.0, 0.0, 0.0, 0.0, 0.0,
16294  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16295  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16296  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16297  0.0, 0.0, 0.0, 0.0, 275.28, 242.171, 206.669,
16298  168.602, 127.784, 84.0155, 59.1573, 56.7577, 54.1847, 51.4258,
16299  48.4675, 45.2954, 41.8941, 38.247, 34.3363, 30.7433, 29.1984,
16300  27.5419, 25.7657, 23.8611, 21.8189, 20.2731, 19.0097, 17.655,
16301  16.2025, 15.0582, 14.0927, 13.0575, 12.1139, 11.2799, 10.3856,
16302  9.69141, 8.9691, 8.326, 7.68186, 7.116, 6.55799, 6.0808,
16303  5.60986, 5.15618, 4.74989, 4.44343, 4.06422, 3.74268, 3.41599,
16304  3.17001, 2.91158, 2.66636, 2.43162, 2.25842, 2.03212, 1.8498,
16305  1.65612, 1.51678, 1.36978, 1.23653, 1.10501, 0.995852, 0.881298,
16306  0.781262, 0.694754, 0.60267, 0.523306, 0.446638, 0.379402, 0.315537,
16307  0.257598, 0.206056, 0.156735, 0.113222, 0.132293, 0.0, 0.0,
16308  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16309  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16310  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16311  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 305.472,
16312  272.659, 237.475, 199.748, 159.294, 115.917, 69.4052, 59.7494,
16313  57.2423, 54.5539, 51.6713, 48.5804, 45.2661, 41.7123, 37.9016,
16314  33.8156, 31.07, 29.4112, 27.6325, 25.7253, 23.6803, 21.4874,
16315  20.215, 18.8677, 17.4231, 15.874, 14.9154, 13.9047, 12.8209,
16316  11.9878, 11.1553, 10.3326, 9.63495, 8.90601, 8.29161, 7.65536,
16317  7.05724, 6.52947, 6.06275, 5.6069, 5.17835, 4.76732, 4.3771,
16318  4.03281, 3.73482, 3.44476, 3.17479, 2.90815, 2.62787, 2.41736,
16319  2.21446, 2.02485, 1.85758, 1.67239, 1.50959, 1.35864, 1.22115,
16320  1.1069, 0.985922, 0.864032, 0.7632, 0.671617, 0.578825, 0.49986,
16321  0.43005, 0.36098, 0.302128, 0.242143, 0.189561, 0.142382, 0.0996002,
16322  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16323  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16324  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16325  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16326  0.0, 330.77, 298.737, 264.389, 227.559, 188.068, 145.722,
16327  100.316, 62.6829, 60.2222, 57.5838, 54.7546, 51.721, 48.4682,
16328  44.9803, 41.2403, 37.2301, 32.93, 31.166, 29.4001, 27.5065,
16329  25.4761, 23.299, 21.408, 20.1443, 18.7892, 17.3362, 16.0028,
16330  14.973, 13.8689, 12.789, 11.9741, 11.1003, 10.3252, 9.57562,
16331  8.87443, 8.23017, 7.62624, 7.03671, 6.4756, 5.97245, 5.55344,
16332  5.098, 4.67008, 4.3618, 4.0207, 3.70631, 3.41865, 3.12494,
16333  2.85379, 2.62407, 2.39612, 2.19637, 1.99322, 1.81506, 1.63704,
16334  1.48173, 1.32587, 1.21354, 1.06996, 0.957659, 0.851372, 0.744067,
16335  0.642428, 0.566485, 0.487378, 0.412684, 0.341806, 0.284274, 0.226472,
16336  0.174336, 0.129069, 0.0848772, 0.0, 0.0, 0.0, 0.0,
16337  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16338  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16339  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16340  0.0, 0.0, 0.0, 356.731, 325.199, 291.388, 255.134,
16341  216.259, 174.576, 129.88, 81.9535, 62.9455, 60.3528, 57.5727,
16342  54.5918, 51.3954, 47.968, 44.2929, 40.3522, 36.1267, 32.7392,
16343  31.0347, 29.2071, 27.2473, 25.1459, 22.8927, 21.4344, 20.1237,
16344  18.7183, 17.2113, 16.0504, 14.9319, 13.7324, 12.7643, 11.8956,
16345  10.9846, 10.2127, 9.38507, 8.80254, 8.20577, 7.5523, 6.92859,
16346  6.40112, 5.97055, 5.54159, 5.09304, 4.63529, 4.28895, 3.96419,
16347  3.67894, 3.36132, 3.08112, 2.82892, 2.5845, 2.37145, 2.1412,
16348  1.95812, 1.77667, 1.60173, 1.45352, 1.31359, 1.18668, 1.05522,
16349  0.930855, 0.821686, 0.717489, 0.633404, 0.542615, 0.465376, 0.389576,
16350  0.325967, 0.260682, 0.204478, 0.158204, 0.110287, 0.0, 0.0,
16351  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16352  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16353  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16354  0.0, 0.0, 0.0, 0.0, 0.0, 378.761, 347.986,
16355  314.986, 279.602, 241.66, 200.977, 157.353, 110.577, 65.4743,
16356  62.9606, 60.2652, 57.375, 54.276, 50.9529, 47.3898, 43.5691,
16357  39.4723, 35.0795, 32.8509, 30.9892, 28.9929, 26.8523, 24.557,
16358  22.4249, 21.1838, 19.853, 18.426, 17.0192, 15.92, 14.7413,
16359  13.525, 12.6219, 11.6536, 10.7964, 10.0351, 9.29265, 8.6283,
16360  7.99132, 7.39346, 6.81624, 6.2895, 5.89704, 5.4036, 4.99106,
16361  4.59985, 4.24103, 3.92823, 3.58616, 3.29824, 3.03027, 2.78277,
16362  2.50984, 2.31342, 2.09858, 1.91766, 1.73581, 1.56408, 1.40116,
16363  1.2732, 1.15268, 1.02012, 0.899901, 0.797452, 0.689373, 0.601249,
16364  0.513777, 0.441968, 0.367809, 0.299119, 0.249035, 0.189128, 0.135224,
16365  0.0927652, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16366  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16367  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16368  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16369  400.133, 370.038, 337.767, 303.165, 266.062, 226.278, 183.619,
16370  137.877, 88.829, 65.5625, 62.8939, 60.0324, 56.9641, 53.6741,
16371  50.1463, 46.3636, 42.3075, 37.9583, 34.2354, 32.4742, 30.5856,
16372  28.5606, 26.3893, 24.061, 22.4409, 21.0562, 19.5713, 17.9792,
16373  16.7324, 15.588, 14.3608, 13.3111, 12.3821, 11.3913, 10.6442,
16374  9.84322, 9.16118, 8.46439, 7.85481, 7.24972, 6.70908, 6.21331,
16375  5.74366, 5.29856, 4.85545, 4.48611, 4.15125, 3.8127, 3.503,
16376  3.22969, 2.9505, 2.70828, 2.45656, 2.26564, 2.05135, 1.85462,
16377  1.68419, 1.51695, 1.36715, 1.23816, 1.10371, 0.992141, 0.86148,
16378  0.760315, 0.660939, 0.569103, 0.494194, 0.415498, 0.345333, 0.281584,
16379  0.22117, 0.167678, 0.11834, 0.0, 0.0, 0.0, 0.0,
16380  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16381  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16382  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16383  0.0, 0.0, 423.403, 393.753, 361.961, 327.871, 291.317,
16384  252.122, 210.095, 165.03, 116.709, 68.6762, 66.0283, 63.189,
16385  60.1446, 56.8801, 53.3797, 49.6263, 45.6017, 41.2863, 36.6589,
16386  34.2564, 32.3374, 30.2796, 28.0731, 25.7072, 23.4518, 22.0816,
16387  20.6123, 19.0368, 17.5022, 16.4609, 15.3444, 14.1718, 13.2036,
16388  12.1655, 11.254, 10.4735, 9.70224, 9.00768, 8.33828, 7.71588,
16389  7.14857, 6.59297, 6.05823, 5.61587, 5.19509, 4.77224, 4.39466,
16390  4.05103, 3.71048, 3.42645, 3.17144, 2.88898, 2.63119, 2.40545,
16391  2.19853, 1.99335, 1.80541, 1.64302, 1.47108, 1.32785, 1.18495,
16392  1.06738, 0.936454, 0.827715, 0.726969, 0.634372, 0.543065, 0.4644,
16393  0.386272, 0.320218, 0.252862, 0.194861, 0.147307, 0.0988224, 0.0,
16394  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16395  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16396  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16397  0.0, 0.0, 0.0, 0.0, 448.067, 418.581, 386.965,
16398  353.065, 316.714, 277.736, 235.942, 191.127, 143.073, 91.5473,
16399  67.9334, 65.135, 62.1343, 58.9168, 55.4668, 51.7674, 47.8007,
16400  43.5473, 38.9866, 35.1364, 33.2998, 31.3305, 29.2188, 26.9545,
16401  24.5266, 22.8918, 21.4985, 20.0045, 18.4025, 17.1884, 16.0813,
16402  14.8942, 13.8424, 12.8674, 11.8328, 11.0521, 10.2151, 9.46201,
16403  8.67945, 8.12753, 7.57136, 7.03769, 6.49323, 5.94921, 5.44521,
16404  5.05156, 4.67128, 4.29795, 3.95808, 3.60602, 3.31607, 3.054,
16405  2.78938, 2.58418, 2.33421, 2.12448, 1.93392, 1.76413, 1.58504,
16406  1.41166, 1.28181, 1.14046, 1.00859, 0.897752, 0.791442, 0.686561,
16407  0.596786, 0.509671, 0.430037, 0.354185, 0.289095, 0.225325, 0.172644,
16408  0.123317, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16409  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16410  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16411  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 464.799,
16412  436.015, 405.151, 372.056, 336.569, 298.519, 257.718, 213.969,
16413  167.058, 116.757, 69.7313, 67.0535, 64.1821, 61.1033, 57.802,
16414  54.2621, 50.4664, 46.3964, 42.0322, 37.3527, 35.0726, 33.0989,
16415  30.9826, 28.7133, 26.28, 24.0247, 22.5783, 21.0274, 19.3643,
16416  17.7966, 16.732, 15.5903, 14.4143, 13.4663, 12.4499, 11.5634,
16417  10.7712, 9.98874, 9.25621, 8.53355, 7.82212, 7.28627, 6.78246,
16418  6.29219, 5.78865, 5.3204, 4.89678, 4.53384, 4.20267, 3.86316,
16419  3.51263, 3.22116, 2.94909, 2.69259, 2.4566, 2.26203, 2.04053,
16420  1.86081, 1.6949, 1.52512, 1.37307, 1.22533, 1.08324, 0.966433,
16421  0.855617, 0.747775, 0.651912, 0.557688, 0.475033, 0.396812, 0.324479,
16422  0.258569, 0.200224, 0.144216, 0.0992897, 0.0, 0.0, 0.0,
16423  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16424  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16425  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16426  0.0, 480.95, 452.882, 422.786, 390.516, 355.913, 318.81,
16427  279.025, 236.365, 190.622, 141.573, 88.98, 69.8149, 66.9147,
16428  63.8049, 60.4704, 56.895, 53.0611, 48.9502, 44.5422, 39.8156,
16429  36.1412, 34.2522, 32.2267, 30.0549, 27.7261, 25.2289, 23.6461,
16430  22.182, 20.6121, 18.9288, 17.6994, 16.5107, 15.236, 14.1291,
16431  13.0615, 11.9745, 11.2228, 10.4168, 9.69282, 8.93635, 8.31855,
16432  7.69123, 7.07472, 6.57726, 6.1153, 5.66516, 5.19671, 4.77168,
16433  4.37349, 4.02933, 3.73641, 3.41687, 3.1103, 2.86829, 2.62384,
16434  2.37026, 2.16946, 1.95923, 1.78508, 1.63837, 1.44876, 1.30976,
16435  1.1751, 1.04221, 0.912192, 0.809394, 0.703597, 0.609858, 0.526685,
16436  0.435496, 0.361451, 0.295947, 0.232453, 0.177958, 0.121014, 0.0,
16437  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16438  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16439  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16440  0.0, 0.0, 0.0, 502.471, 474.579, 444.671, 412.602,
16441  378.215, 341.344, 301.808, 259.414, 213.957, 165.215, 112.951,
16442  71.0692, 68.3378, 65.409, 62.2686, 58.9012, 55.2904, 51.4187,
16443  47.2672, 42.8157, 38.0425, 36.0561, 33.9753, 31.744, 29.3515,
16444  26.7862, 24.6142, 23.1791, 21.6403, 19.9903, 18.4738, 17.2512,
16445  15.9402, 14.6631, 13.663, 12.5906, 11.7233, 10.9198, 10.1339,
16446  9.36291, 8.6794, 8.03219, 7.42774, 6.87459, 6.38555, 5.84133,
16447  5.43468, 4.96528, 4.58546, 4.24479, 3.89531, 3.58325, 3.27985,
16448  3.01749, 2.76392, 2.53024, 2.29386, 2.06732, 1.88819, 1.72273,
16449  1.54238, 1.39233, 1.24147, 1.11112, 0.978208, 0.866086, 0.762584,
16450  0.661356, 0.572422, 0.484116, 0.400972, 0.32783, 0.26032, 0.202543,
16451  0.147183, 0.118914, 0.0, 0.0, 0.0, 0.0, 0.0,
16452  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16453  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16454  0.0, 0.0, 0.0, 0.0, 0.0, 514.051, 486.994,
16455  457.98, 426.871, 393.513, 357.744, 319.39, 278.265, 234.167,
16456  186.883, 136.182, 81.8167, 70.7202, 67.7668, 64.5998, 61.2041,
16457  57.5629, 53.6586, 49.4721, 44.9831, 40.1697, 36.9412, 34.9744,
16458  32.8655, 30.6041, 28.1794, 25.5794, 24.1229, 22.5769, 20.9192,
16459  19.1416, 17.9612, 16.7101, 15.3687, 14.3495, 13.332, 12.329,
16460  11.4813, 10.5992, 9.8784, 9.12603, 8.39415, 7.76644, 7.22615,
16461  6.66466, 6.15684, 5.71625, 5.3012, 4.85715, 4.47114, 4.09391,
16462  3.75503, 3.44098, 3.18915, 2.91889, 2.65967, 2.43346, 2.1962,
16463  2.01768, 1.80044, 1.62117, 1.47485, 1.33276, 1.17456, 1.0524,
16464  0.937172, 0.818346, 0.710856, 0.62027, 0.532613, 0.444224, 0.364318,
16465  0.292471, 0.228956, 0.170847, 0.118464, 0.0, 0.0, 0.0,
16466  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16467  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16468  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16469  537.546, 510.509, 481.518, 450.432, 417.099, 381.357, 343.033,
16470  301.939, 257.875, 210.627, 159.964, 105.64, 72.6591, 69.6987,
16471  66.5245, 63.1208, 59.4712, 55.5579, 51.3617, 46.8623, 42.0377,
16472  37.4891, 35.6859, 33.7525, 31.6793, 29.4563, 27.0727, 25.1739,
16473  23.6104, 21.9339, 20.1363, 18.6781, 17.4632, 16.1605, 14.9633,
16474  13.9286, 12.8191, 12.0092, 11.1907, 10.3533, 9.47219, 8.77326,
16475  8.1095, 7.57274, 7.04989, 6.51151, 5.93402, 5.50257, 5.08847,
16476  4.68251, 4.31274, 3.94913, 3.6097, 3.30684, 3.02539, 2.77835,
16477  2.54109, 2.32785, 2.09666, 1.91608, 1.70868, 1.55846, 1.4047,
16478  1.2583, 1.11473, 0.989724, 0.867991, 0.76047, 0.659912, 0.563448,
16479  0.485679, 0.39884, 0.326584, 0.259292, 0.198702, 0.139101, 0.180606,
16480  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16481  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16482  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16483  0.0, 0.0, 552.292, 525.747, 497.285, 466.765, 434.039,
16484  398.949, 361.323, 320.977, 277.716, 231.329, 181.589, 128.255,
16485  74.5263, 71.6744, 68.6165, 65.3376, 61.8218, 58.0518, 54.0094,
16486  49.6749, 45.0271, 40.0435, 37.4447, 35.4202, 33.2494, 30.9218,
16487  28.4259, 26.0083, 24.4554, 22.7904, 21.005, 19.2526, 18.0581,
16488  16.7772, 15.4367, 14.464, 13.421, 12.4349, 11.5135, 10.6298,
16489  9.90557, 9.17089, 8.43891, 7.82787, 7.25249, 6.70582, 6.20884,
16490  5.7172, 5.30541, 4.90065, 4.46412, 4.13201, 3.80842, 3.48476,
16491  3.21201, 2.92429, 2.6565, 2.4344, 2.22566, 2.00594, 1.81969,
16492  1.65678, 1.49016, 1.33583, 1.18775, 1.05654, 0.932236, 0.814952,
16493  0.715053, 0.614318, 0.521508, 0.43743, 0.363763, 0.289151, 0.225147,
16494  0.164765, 0.110068, 0.0, 0.0, 0.0, 0.0, 0.0,
16495  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16496  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16497  0.0, 0.0, 0.0, 0.0, 562.542, 536.708, 509.007,
16498  479.305, 447.456, 413.305, 376.686, 337.421, 295.318, 250.173,
16499  201.765, 149.859, 94.2019, 74.0811, 71.0431, 67.7856, 64.2927,
16500  60.5473, 56.5313, 52.2251, 47.6076, 42.6565, 38.7827, 36.7191,
16501  34.5064, 32.1338, 29.5897, 26.8617, 25.1587, 23.5882, 21.9042,
16502  20.0986, 18.797, 17.5417, 16.1958, 15.0499, 13.9561, 12.8311,
16503  11.9589, 11.0238, 10.3006, 9.54865, 8.88098, 8.19484, 7.50624,
16504  6.95905, 6.474, 6.00812, 5.50197, 5.08791, 4.67531, 4.31211,
16505  3.97825, 3.6475, 3.33118, 3.05452, 2.78698, 2.53722, 2.33598,
16506  2.11002, 1.91379, 1.73343, 1.56524, 1.39847, 1.25565, 1.12223,
16507  0.984694, 0.874503, 0.761778, 0.654858, 0.566506, 0.46887, 0.397645,
16508  0.322431, 0.256406, 0.190812, 0.132437, 0.0, 0.0, 0.0,
16509  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16510  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16511  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 583.815,
16512  558.04, 530.403, 500.768, 468.991, 434.918, 398.383, 359.208,
16513  317.201, 272.159, 223.861, 172.074, 116.544, 75.982, 72.9474,
16514  69.6936, 66.2047, 62.4636, 58.4522, 54.1508, 49.5386, 44.5931,
16515  39.4844, 37.5191, 35.4119, 33.1524, 30.7296, 28.1317, 25.9991,
16516  24.4737, 22.8379, 21.084, 19.5228, 18.2333, 16.8507, 15.5436,
16517  14.5045, 13.3904, 12.4436, 11.5062, 10.6506, 9.84021, 9.153,
16518  8.49793, 7.86049, 7.26095, 6.71405, 6.22631, 5.74301, 5.26285,
16519  4.84885, 4.52255, 4.11123, 3.78452, 3.47999, 3.15845, 2.90807,
16520  2.66558, 2.4281, 2.21825, 2.01538, 1.82762, 1.63693, 1.47983,
16521  1.31834, 1.18414, 1.04837, 0.937343, 0.812496, 0.703307, 0.611287,
16522  0.519527, 0.432239, 0.351778, 0.282391, 0.2185, 0.156726, 0.17512,
16523  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16524  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16525  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16526  0.0, 600.23, 574.713, 547.353, 518.015, 486.556, 452.825,
16527  416.656, 377.873, 336.287, 291.696, 243.882, 192.613, 137.639,
16528  78.692, 74.3965, 71.2651, 67.9074, 64.3071, 60.4467, 56.3072,
16529  51.8686, 47.1092, 42.0059, 39.0256, 36.9173, 34.6566, 32.2325,
16530  29.6333, 27.0117, 25.4593, 23.7947, 22.0098, 20.1826, 18.9356,
16531  17.5985, 16.1647, 15.1171, 14.0023, 12.9329, 11.9688, 11.0217,
16532  10.2889, 9.53211, 8.77594, 8.17003, 7.61341, 6.99412, 6.48784,
16533  5.9988, 5.51103, 5.06323, 4.6791, 4.3273, 3.97745, 3.61364,
16534  3.30791, 3.01638, 2.78615, 2.52142, 2.31868, 2.09913, 1.90364,
16535  1.73303, 1.54647, 1.38814, 1.2357, 1.10531, 0.978767, 0.858551,
16536  0.750057, 0.652571, 0.552421, 0.463433, 0.381552, 0.309282, 0.242041,
16537  0.178148, 0.120104, 0.0, 0.0, 0.0, 0.0, 0.0,
16538  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16539  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16540  0.0, 0.0, 0.0, 608.822, 583.937, 557.253, 528.641,
16541  497.961, 465.064, 429.79, 391.966, 351.409, 307.921, 261.291,
16542  211.29, 157.676, 100.188, 76.3753, 73.2627, 69.9252, 66.3465,
16543  62.5092, 58.3946, 53.9826, 49.2517, 44.179, 40.0323, 37.9337,
16544  35.6835, 33.2707, 30.6835, 27.9093, 26.0427, 24.3659, 22.5679,
16545  20.64, 19.2146, 17.8831, 16.4554, 15.3343, 14.3678, 13.3482,
16546  12.4665, 11.521, 10.6865, 9.81574, 9.19238, 8.53613, 7.85651,
16547  7.28809, 6.72906, 6.18713, 5.7142, 5.23922, 4.83995, 4.47849,
16548  4.10272, 3.78202, 3.4241, 3.1687, 2.8825, 2.63635, 2.4226,
16549  2.20258, 2.01744, 1.79966, 1.61943, 1.46636, 1.31059, 1.17202,
16550  1.04882, 0.914334, 0.798935, 0.694035, 0.593423, 0.500302, 0.421342,
16551  0.34016, 0.266379, 0.203984, 0.144083, 0.0, 0.0, 0.0,
16552  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16553  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16554  0.0, 0.0, 0.0, 0.0, 0.0, 622.607, 598.058,
16555  571.734, 543.508, 513.242, 480.789, 445.99, 408.677, 368.667,
16556  325.766, 279.765, 230.439, 177.549, 120.836, 78.1296, 75.0394,
16557  71.7259, 68.1729, 64.3631, 60.278, 55.8977, 51.2009, 46.1646,
16558  40.8811, 38.8434, 36.6585, 34.3157, 31.8035, 29.1099, 26.8604,
16559  25.2618, 23.5476, 21.7095, 20.0866, 18.8039, 17.4286, 16.1049,
16560  15.0303, 13.878, 12.8837, 11.9029, 11.0114, 10.1808, 9.42339,
16561  8.67877, 8.12058, 7.54766, 6.96577, 6.38252, 5.9016, 5.4578,
16562  5.05273, 4.67517, 4.2346, 3.90552, 3.57007, 3.28245, 3.02949,
16563  2.77491, 2.51466, 2.30474, 2.07191, 1.87398, 1.70276, 1.52791,
16564  1.38479, 1.22204, 1.0955, 0.957428, 0.838363, 0.735758, 0.636879,
16565  0.536455, 0.455606, 0.372054, 0.293594, 0.227773, 0.167034, 0.1669,
16566  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16567  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16568  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16569  643.25, 618.759, 592.498, 564.339, 534.145, 501.77, 467.054,
16570  429.83, 389.916, 347.117, 301.225, 252.017, 199.252, 142.675,
16571  82.0086, 77.9237, 74.6175, 71.0724, 67.2711, 63.195, 58.8244,
16572  54.1379, 49.1128, 43.7245, 40.5911, 38.3474, 35.9415, 33.3617,
16573  30.5955, 27.8161, 26.1683, 24.4014, 22.5068, 20.5799, 19.3169,
16574  17.9628, 16.5107, 15.4086, 14.2315, 13.1659, 12.3, 11.417,
16575  10.6128, 9.81143, 9.06484, 8.39902, 7.77572, 7.22673, 6.66399,
16576  6.14619, 5.68985, 5.2565, 4.82041, 4.42196, 4.08293, 3.74719,
16577  3.43052, 3.12861, 2.84513, 2.62791, 2.3834, 2.16425, 1.9636,
16578  1.75734, 1.58769, 1.42887, 1.28315, 1.15238, 1.00615, 0.883465,
16579  0.781223, 0.67264, 0.574667, 0.48731, 0.399152, 0.324746, 0.252772,
16580  0.184762, 0.128309, 0.0, 0.0, 0.0, 0.0, 0.0,
16581  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16582  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16583  0.0, 0.0, 656.561, 632.327, 606.341, 578.478, 548.601,
16584  516.565, 482.213, 445.38, 405.884, 363.534, 318.124, 269.432,
16585  217.221, 161.237, 101.207, 78.4458, 75.2603, 71.8445, 68.182,
16586  64.2547, 60.0436, 55.5282, 50.6865, 45.4949, 41.3528, 39.1508,
16587  36.7896, 34.2579, 31.5432, 28.6322, 26.796, 25.1321, 23.3481,
16588  21.4351, 20.0359, 18.6986, 17.2646, 16.067, 14.9508, 13.7905,
16589  12.8513, 11.8442, 10.9914, 10.1033, 9.36665, 8.66933, 8.07983,
16590  7.50716, 6.91818, 6.34854, 5.86756, 5.43336, 4.99031, 4.59949,
16591  4.23117, 3.87214, 3.51941, 3.26675, 2.9571, 2.70959, 2.48111,
16592  2.23698, 2.03903, 1.84746, 1.6795, 1.49495, 1.3494, 1.20225,
16593  1.06574, 0.934808, 0.824372, 0.705976, 0.607127, 0.519783, 0.436051,
16594  0.351534, 0.278415, 0.209826, 0.147907, 0.0, 0.0, 0.0,
16595  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16596  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16597  0.0, 0.0, 0.0, 0.0, 673.97, 649.924, 624.141,
16598  596.494, 566.849, 535.062, 500.978, 464.431, 425.243, 383.222,
16599  338.165, 289.852, 238.047, 182.498, 122.935, 81.7558, 78.5221,
16600  75.0548, 71.3369, 67.3503, 63.0756, 58.492, 53.5771, 48.3071,
16601  42.9927, 40.7388, 38.322, 35.7305, 32.9517, 29.9721, 27.6299,
16602  25.9728, 24.196, 22.2908, 20.6598, 19.3368, 17.9182, 16.5722,
16603  15.4353, 14.2163, 13.2537, 12.3078, 11.4052, 10.5056, 9.7845,
16604  9.10015, 8.37231, 7.72893, 7.14945, 6.55189, 6.04074, 5.5915,
16605  5.16695, 4.76596, 4.39588, 4.02873, 3.6811, 3.41053, 3.08839,
16606  2.80193, 2.55369, 2.33161, 2.12925, 1.9325, 1.73976, 1.56523,
16607  1.4032, 1.26003, 1.12684, 0.98256, 0.871537, 0.757133, 0.659996,
16608  0.555615, 0.463135, 0.379963, 0.306676, 0.234966, 0.169607, 0.11547,
16609  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16610  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16611  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 693.683,
16612  669.63, 643.838, 616.183, 586.529, 554.732, 520.637, 484.078,
16613  444.877, 402.843, 357.772, 309.443, 257.622, 202.056, 142.474,
16614  82.813, 79.6348, 76.2269, 72.5727, 68.6545, 64.4531, 59.9481,
16615  55.1175, 49.9378, 44.3838, 41.5089, 39.2522, 36.8324, 34.2377,
16616  31.4555, 28.7777, 27.0919, 25.2842, 23.3459, 21.4357, 20.0726,
16617  18.611, 17.0868, 16.0087, 14.8526, 13.7669, 12.7574, 11.7705,
16618  10.9117, 10.0922, 9.3453, 8.64556, 7.97447, 7.38463, 6.83716,
16619  6.25973, 5.77505, 5.33654, 4.9048, 4.50172, 4.15506, 3.79758,
16620  3.49184, 3.18348, 2.91984, 2.66054, 2.41979, 2.20276, 1.99591,
16621  1.81889, 1.63682, 1.46458, 1.31453, 1.17139, 1.03004, 0.903464,
16622  0.801996, 0.688257, 0.592232, 0.497517, 0.412403, 0.329182, 0.257636,
16623  0.189045, 0.13009, 0.0, 0.0, 0.0, 0.0, 0.0,
16624  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16625  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16626  0.0, 703.387, 679.76, 654.426, 627.26, 598.131, 566.897,
16627  533.406, 497.495, 458.989, 417.699, 373.426, 325.954, 275.05,
16628  220.468, 161.942, 99.1859, 82.0628, 78.6238, 74.9364, 70.9825,
16629  66.7428, 62.1968, 57.3222, 52.0953, 46.4907, 42.4867, 40.2373,
16630  37.8254, 35.2392, 32.4661, 29.4926, 27.7386, 25.9863, 24.1075,
16631  22.0929, 20.689, 19.259, 17.7257, 16.4828, 15.2649, 14.0486,
16632  13.0791, 12.0519, 11.2496, 10.4119, 9.6439, 8.92383, 8.26583,
16633  7.6329, 7.01259, 6.46443, 6.00091, 5.52038, 5.10806, 4.65414,
16634  4.28014, 3.94895, 3.60713, 3.30896, 3.03363, 2.7785, 2.52294,
16635  2.28537, 2.07438, 1.85936, 1.70142, 1.51774, 1.35663, 1.21534,
16636  1.08004, 0.945034, 0.835686, 0.72654, 0.627187, 0.525931, 0.443096,
16637  0.358157, 0.284126, 0.210656, 0.151362, 0.0, 0.0, 0.0,
16638  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16639  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16640  0.0, 0.0, 0.0, 717.841, 694.386, 669.237, 642.27,
16641  613.354, 582.349, 549.103, 513.454, 475.229, 434.242, 390.292,
16642  343.167, 292.636, 238.453, 180.355, 118.057, 83.2326, 79.8871,
16643  76.2997, 72.4531, 68.3285, 63.9058, 59.1636, 54.0786, 48.6261,
16644  43.6443, 41.4674, 39.1333, 36.6305, 33.9468, 31.0691, 28.8651,
16645  27.0223, 25.0464, 22.9277, 21.2795, 19.8934, 18.4072, 17.0468,
16646  15.8291, 14.5235, 13.573, 12.5867, 11.717, 10.8466, 10.0192,
16647  9.19557, 8.50591, 7.87015, 7.29526, 6.79148, 6.20998, 5.77566,
16648  5.28287, 4.86119, 4.46127, 4.07932, 3.74999, 3.42211, 3.10929,
16649  2.85373, 2.61947, 2.3758, 2.1529, 1.95622, 1.75788, 1.58542,
16650  1.41459, 1.27355, 1.13223, 1.00116, 0.877568, 0.757571, 0.660119,
16651  0.560287, 0.470176, 0.385469, 0.311998, 0.236642, 0.170379, 0.199706,
16652  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16653  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16654  0.0, 0.0, 0.0, 0.0, 0.0, 734.446, 711.148,
16655  686.166, 659.379, 630.657, 599.858, 566.834, 531.423, 493.453,
16656  452.739, 409.082, 362.271, 312.077, 258.256, 200.545, 138.663,
16657  86.3669, 82.9771, 79.3423, 75.4448, 71.2657, 66.7846, 61.9796,
16658  56.8274, 51.3029, 45.3791, 42.9081, 40.4985, 37.9148, 35.1444,
16659  32.1737, 29.5462, 27.7558, 25.836, 23.7776, 21.9008, 20.5183,
16660  19.036, 17.5601, 16.3867, 15.1285, 14.0546, 13.0517, 12.0743,
16661  11.1356, 10.2736, 9.45246, 8.81188, 8.15493, 7.4787, 6.94478,
16662  6.43666, 5.92585, 5.4481, 5.01886, 4.61861, 4.25729, 3.85623,
16663  3.54828, 3.25821, 2.94303, 2.71203, 2.4533, 2.24967, 1.99435,
16664  1.82628, 1.64718, 1.47856, 1.32985, 1.17723, 1.03414, 0.924412,
16665  0.800166, 0.693725, 0.59015, 0.504318, 0.416718, 0.335615, 0.259905,
16666  0.194623, 0.124839, 0.0, 0.0, 0.0, 0.0, 0.0,
16667  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16668  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16669  755.571, 732.218, 707.177, 680.326, 651.535, 620.663, 587.56,
16670  552.064, 514.004, 473.193, 429.433, 382.51, 332.197, 278.247,
16671  220.399, 158.37, 91.8579, 84.9433, 81.3477, 77.4923, 73.3582,
16672  68.9255, 64.1723, 59.0757, 53.6107, 47.7508, 44.2154, 41.8071,
16673  39.2248, 36.4559, 33.4868, 30.4434, 28.6611, 26.75, 24.7009,
16674  22.5818, 21.224, 19.7682, 18.2071, 17.0048, 15.7398, 14.5386,
16675  13.5059, 12.4503, 11.5191, 10.6213, 9.87881, 9.16593, 8.45947,
16676  7.76844, 7.15329, 6.63303, 6.14056, 5.63405, 5.19465, 4.77689,
16677  4.37314, 4.04305, 3.68058, 3.31662, 3.04507, 2.80519, 2.55044,
16678  2.32437, 2.09398, 1.87892, 1.69596, 1.52932, 1.37489, 1.22536,
16679  1.08901, 0.958821, 0.837395, 0.723369, 0.623081, 0.530369, 0.442815,
16680  0.362817, 0.287497, 0.2132, 0.142958, 0.0, 0.0, 0.0,
16681  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16682  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16683  0.0, 0.0, 771.254, 748.022, 723.11, 696.398, 667.756,
16684  637.043, 604.111, 568.8, 530.936, 490.336, 446.802, 400.122,
16685  350.069, 296.398, 238.849, 177.141, 110.973, 86.5754, 82.9783,
16686  79.1214, 74.9857, 70.5511, 65.796, 60.6973, 55.2302, 49.3679,
16687  44.8222, 42.5598, 40.1339, 37.5327, 34.7435, 31.7528, 29.7371,
16688  27.8382, 25.8021, 23.6188, 22.0718, 20.5974, 19.0166, 17.6476,
16689  16.3329, 14.982, 13.9734, 12.8919, 12.0243, 11.1203, 10.3036,
16690  9.5185, 8.82463, 8.10933, 7.44497, 6.86649, 6.35925, 5.84055,
16691  5.39041, 4.93129, 4.52668, 4.1435, 3.78782, 3.47686, 3.1851,
16692  2.88407, 2.62902, 2.3808, 2.17532, 1.96193, 1.77486, 1.59322,
16693  1.42415, 1.26323, 1.13446, 1.0049, 0.877476, 0.771007, 0.655805,
16694  0.558845, 0.469382, 0.386189, 0.308279, 0.237304, 0.166264, 0.0,
16695  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16696  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16697  0.0, 0.0, 0.0, 0.0, 786.179, 763.126, 738.408,
16698  711.903, 683.483, 653.009, 620.333, 585.296, 547.726, 507.441,
16699  464.245, 417.928, 368.263, 315.009, 257.906, 196.677, 131.023,
16700  89.5001, 85.913, 82.0667, 77.9425, 73.5202, 68.7783, 63.6938,
16701  58.2417, 52.3957, 46.7467, 44.3459, 41.7715, 39.0111, 36.0512,
16702  32.8774, 30.4107, 28.5107, 26.4733, 24.2887, 22.4928, 21.0161,
16703  19.4327, 17.9828, 16.7698, 15.4692, 14.4123, 13.3347, 12.3394,
16704  11.3478, 10.5446, 9.76857, 9.05534, 8.39172, 7.75563, 7.11931,
16705  6.55568, 6.00566, 5.56007, 5.09749, 4.67123, 4.24909, 3.93615,
16706  3.59236, 3.27927, 2.99063, 2.72741, 2.47366, 2.26929, 2.03527,
16707  1.83383, 1.64404, 1.48264, 1.32122, 1.18141, 1.0334, 0.91557,
16708  0.803284, 0.683963, 0.587446, 0.493684, 0.408831, 0.332746, 0.254466,
16709  0.18511, 0.163632, 0.0, 0.0, 0.0, 0.0, 0.0,
16710  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16711  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 812.947,
16712  789.651, 764.672, 737.887, 709.167, 678.371, 645.35, 609.943,
16713  571.977, 531.267, 487.615, 440.808, 390.619, 336.803, 279.097,
16714  217.222, 150.875, 91.4951, 87.9274, 84.1019, 79.9999, 75.6015,
16715  70.8852, 65.8281, 60.4055, 54.591, 48.3564, 45.5646, 43.0407,
16716  40.3343, 37.4324, 34.3208, 31.4846, 29.5863, 27.5508, 25.3682,
16717  23.309, 21.7673, 20.1143, 18.4687, 17.3216, 16.0915, 14.9665,
16718  13.8891, 12.8474, 11.8846, 11.0004, 10.1808, 9.43983, 8.68678,
16719  7.92207, 7.35604, 6.76647, 6.18628, 5.6937, 5.24351, 4.79401,
16720  4.42127, 4.04643, 3.72311, 3.40105, 3.10529, 2.81779, 2.56558,
16721  2.32876, 2.11042, 1.8918, 1.71168, 1.5508, 1.36036, 1.22088,
16722  1.10076, 0.951443, 0.841539, 0.72809, 0.622804, 0.528251, 0.44324,
16723  0.359134, 0.278646, 0.202517, 0.139386, 0.0, 0.0, 0.0,
16724  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16725  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16726  0.0, 825.097, 802.026, 777.287, 750.761, 722.318, 691.819,
16727  659.116, 624.049, 586.449, 546.131, 502.9, 456.544, 406.839,
16728  353.541, 296.392, 235.113, 169.405, 98.9484, 89.8247, 86.008,
16729  81.9155, 77.5272, 72.8218, 67.7764, 62.3663, 56.5653, 50.345,
16730  46.5344, 44.0616, 41.4102, 38.5671, 35.5185, 32.3501, 30.4838,
16731  28.4826, 26.3368, 24.0882, 22.5964, 20.9968, 19.2816, 17.9963,
16732  16.6631, 15.3887, 14.3068, 13.2019, 12.2695, 11.3335, 10.4868,
16733  9.70638, 8.96341, 8.27122, 7.60055, 7.04702, 6.51956, 5.94784,
16734  5.49555, 5.0312, 4.59601, 4.20006, 3.86346, 3.50442, 3.20232,
16735  2.92179, 2.6544, 2.40428, 2.1739, 1.96365, 1.78604, 1.57044,
16736  1.42889, 1.26614, 1.13063, 0.998411, 0.877765, 0.761331, 0.657653,
16737  0.564026, 0.462297, 0.380367, 0.294925, 0.228057, 0.156003, 0.0,
16738  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16739  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16740  0.0, 0.0, 0.0, 827.276, 804.715, 780.523, 754.583,
16741  726.769, 696.944, 664.964, 630.673, 593.904, 554.477, 512.201,
16742  466.87, 418.264, 366.144, 310.258, 250.333, 186.078, 117.179,
16743  91.4436, 87.6605, 83.604, 79.2544, 74.5904, 69.5894, 64.227,
16744  58.477, 52.3115, 47.4828, 45.0294, 42.3987, 39.578, 36.5533,
16745  33.3101, 31.1925, 29.2304, 27.1266, 24.8708, 23.1798, 21.5408,
16746  19.7834, 18.4185, 17.2038, 15.9384, 14.8697, 13.7239, 12.7384,
16747  11.7134, 10.9151, 10.083, 9.23058, 8.54062, 7.91328, 7.302,
16748  6.64916, 6.1377, 5.61415, 5.20358, 4.73739, 4.35815, 4.00535,
16749  3.6506, 3.3249, 3.03049, 2.78057, 2.48995, 2.26707, 2.03549,
16750  1.82749, 1.64168, 1.47385, 1.31994, 1.17106, 1.03772, 0.908806,
16751  0.790529, 0.680836, 0.587443, 0.493635, 0.399443, 0.3247, 0.249422,
16752  0.175465, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16753  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16754  0.0, 0.0, 0.0, 0.0, 0.0, 826.461, 804.408,
16755  780.762, 755.406, 728.219, 699.066, 667.807, 634.289, 598.349,
16756  559.811, 518.489, 474.18, 426.669, 375.724, 321.098, 262.524,
16757  199.717, 132.372, 90.891, 87.2343, 83.3132, 79.1088, 74.6006,
16758  69.7665, 64.5832, 59.0252, 53.0656, 47.3878, 45.0292, 42.5001,
16759  39.7882, 36.8803, 33.7623, 31.3791, 29.5391, 27.5662, 25.4506,
16760  23.6495, 22.0779, 20.3928, 18.8852, 17.6552, 16.3362, 15.2681,
16761  14.1723, 13.1311, 12.0734, 11.1498, 10.2451, 9.49262, 8.83262,
16762  8.21723, 7.58864, 6.9912, 6.44571, 5.87185, 5.3664, 4.91919,
16763  4.50819, 4.11859, 3.79415, 3.4611, 3.12592, 2.83132, 2.60192,
16764  2.35294, 2.11043, 1.90504, 1.69444, 1.53223, 1.3634, 1.21393,
16765  1.07226, 0.942218, 0.817946, 0.714082, 0.612379, 0.515196, 0.432067,
16766  0.341336, 0.266869, 0.198582, 0.189661, 0.0, 0.0, 0.0,
16767  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16768  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16769  801.05, 780.161, 757.762, 733.744, 707.99, 680.375, 650.765,
16770  619.015, 584.97, 548.465, 509.322, 467.35, 422.345, 374.087,
16771  322.342, 266.857, 207.363, 143.57, 88.8395, 85.4136, 81.7402,
16772  77.8013, 73.5777, 69.0489, 64.1928, 58.9858, 53.4025, 47.4157,
16773  44.8883, 42.4764, 39.8902, 37.1171, 34.1436, 31.4953, 29.7064,
16774  27.7882, 25.7313, 23.8061, 22.3064, 20.6983, 19.0905, 17.8179,
16775  16.4533, 15.2837, 14.1974, 13.1894, 12.2928, 11.4188, 10.5474,
16776  9.82425, 9.11016, 8.40854, 7.74906, 7.16266, 6.60187, 6.04542,
16777  5.56138, 5.11023, 4.71176, 4.28143, 3.91519, 3.56868, 3.26592,
16778  2.94864, 2.67663, 2.40411, 2.17984, 1.96608, 1.77514, 1.57404,
16779  1.40949, 1.25045, 1.11805, 0.981975, 0.859467, 0.738953, 0.642608,
16780  0.540182, 0.456268, 0.369564, 0.285583, 0.216246, 0.143123, 0.0,
16781  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16782  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16783  0.0, 0.0, 761.947, 742.545, 721.741, 699.434, 675.515,
16784  649.867, 622.365, 592.876, 561.256, 527.351, 490.995, 452.013,
16785  410.213, 365.392, 317.333, 265.8, 210.543, 151.292, 87.7603,
16786  82.9047, 79.4249, 75.6935, 71.6926, 67.4025, 62.8024, 57.8698,
16787  52.5807, 46.9095, 43.6903, 41.4997, 39.1508, 36.6322, 33.9316,
16788  31.1835, 29.3832, 27.4529, 25.383, 23.273, 21.9291, 20.4881,
16789  18.9429, 17.8059, 16.597, 15.4224, 14.3407, 13.2752, 12.4437,
16790  11.601, 10.7914, 10.0064, 9.24227, 8.59167, 7.98112, 7.37976,
16791  6.83452, 6.30829, 5.77572, 5.30057, 4.8173, 4.4242, 4.06028,
16792  3.66037, 3.35789, 3.05824, 2.74434, 2.49248, 2.23575, 2.04279,
16793  1.8311, 1.63745, 1.4637, 1.30237, 1.15744, 1.0233, 0.894586,
16794  0.771253, 0.663996, 0.570254, 0.479211, 0.393253, 0.307272, 0.237206,
16795  0.161279, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16796  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16797  0.0, 0.0, 0.0, 0.0, 707.867, 690.255, 671.37,
16798  651.12, 629.407, 606.125, 581.16, 554.391, 525.687, 494.909,
16799  461.907, 426.52, 388.576, 347.889, 304.263, 257.483, 207.323,
16800  153.538, 95.8655, 78.5017, 75.3295, 71.9281, 68.2808, 64.37,
16801  60.1765, 55.68, 50.8585, 45.6886, 41.878, 39.7678, 37.5052,
16802  35.079, 32.4775, 29.688, 27.9926, 26.3364, 24.5606, 22.6565,
16803  21.3052, 19.9498, 18.4964, 17.3285, 16.2069, 15.077, 14.1879,
16804  13.2365, 12.3734, 11.4843, 10.7959, 10.0766, 9.3286, 8.6983,
16805  8.05303, 7.4641, 6.94885, 6.3245, 5.8792, 5.38759, 5.01258,
16806  4.61708, 4.17934, 3.79908, 3.49208, 3.1573, 2.8558, 2.58325,
16807  2.34322, 2.12386, 1.89819, 1.70468, 1.51272, 1.35301, 1.2003,
16808  1.05744, 0.922974, 0.801271, 0.692665, 0.605917, 0.499417, 0.407713,
16809  0.328919, 0.255007, 0.178819, 0.0, 0.0, 0.0, 0.0,
16810  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16811  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 663.693,
16812  647.511, 630.161, 611.556, 591.607, 570.216, 547.279, 522.685,
16813  496.313, 468.036, 437.715, 405.203, 370.341, 332.96, 292.877,
16814  249.898, 203.813, 154.398, 101.411, 73.6042, 70.7032, 67.5926,
16815  64.2571, 60.6806, 56.8457, 52.7336, 48.3243, 43.5964, 39.3757,
16816  37.4249, 35.333, 33.09, 30.6849, 28.1059, 26.2808, 24.8014,
16817  23.2152, 21.5142, 20.2172, 19.1037, 17.9097, 16.802, 15.7699,
16818  14.6632, 13.7806, 12.8446, 12.0598, 11.2777, 10.6076, 9.93017,
16819  9.27969, 8.62437, 8.05627, 7.61276, 6.96589, 6.52668, 6.03814,
16820  5.57048, 5.11417, 4.709, 4.28096, 3.95091, 3.59758, 3.27956,
16821  2.96178, 2.67531, 2.44299, 2.17282, 1.95701, 1.74509, 1.56743,
16822  1.38928, 1.23616, 1.09827, 0.959753, 0.829343, 0.734512, 0.624204,
16823  0.522967, 0.43611, 0.351216, 0.273977, 0.199701, 0.0, 0.0,
16824  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16825  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16826  0.0, 615.825, 601.118, 585.348, 568.439, 550.308, 530.867,
16827  510.021, 487.668, 463.7, 437.999, 410.442, 380.893, 349.208,
16828  315.234, 278.805, 239.742, 197.857, 152.945, 104.788, 68.7604,
16829  66.1289, 63.3072, 60.2816, 57.0373, 53.5586, 49.8285, 45.8288,
16830  41.54, 37.0554, 35.3179, 33.4549, 31.4572, 29.3152, 27.0183,
16831  25.0769, 23.6464, 22.1124, 20.4676, 19.063, 18.0199, 16.9014,
16832  15.8068, 14.8669, 13.8591, 13.0084, 12.1754, 11.4475, 10.7938,
16833  10.187, 9.58171, 8.96674, 8.41598, 7.9257, 7.38764, 6.96134,
16834  6.47169, 5.99509, 5.57336, 5.1961, 4.83128, 4.43333, 4.04276,
16835  3.72725, 3.39389, 3.08263, 2.79235, 2.51047, 2.24397, 2.03772,
16836  1.82072, 1.63042, 1.44083, 1.27623, 1.14083, 0.988388, 0.877462,
16837  0.759083, 0.644578, 0.5433, 0.45884, 0.373208, 0.294722, 0.213521,
16838  0.145405, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16839  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16840  0.0, 0.0, 0.0, 581.913, 568.279, 553.659, 537.983,
16841  521.175, 503.151, 483.825, 463.103, 440.883, 417.057, 391.509,
16842  364.115, 334.741, 303.245, 269.472, 233.259, 194.429, 152.792,
16843  108.147, 64.7989, 62.3596, 59.744, 56.9394, 53.9321, 50.7075,
16844  47.2498, 43.5423, 39.5669, 35.3041, 33.1467, 31.3698, 29.4645,
16845  27.4214, 25.2307, 23.1908, 22.0192, 20.7629, 19.4159, 18.0905,
16846  17.0781, 15.9927, 14.8641, 13.9726, 13.0166, 12.2117, 11.5455,
16847  10.8591, 10.1743, 9.55695, 9.03059, 8.5331, 8.04178, 7.57318,
16848  7.13063, 6.71828, 6.30666, 5.92383, 5.55899, 5.19239, 4.82065,
16849  4.51811, 4.13545, 3.78538, 3.45826, 3.15469, 2.86533, 2.60051,
16850  2.33906, 2.1073, 1.87601, 1.68072, 1.49272, 1.32784, 1.18064,
16851  1.03177, 0.907547, 0.786797, 0.674872, 0.573542, 0.482547, 0.397854,
16852  0.314807, 0.235514, 0.158454, 0.0, 0.0, 0.0, 0.0,
16853  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16854  0.0, 0.0, 0.0, 0.0, 0.0, 554.391, 541.66,
16855  528.008, 513.369, 497.673, 480.842, 462.795, 443.444, 422.694,
16856  400.445, 376.588, 351.007, 323.577, 294.165, 262.627, 228.811,
16857  192.55, 153.669, 111.978, 67.2742, 59.9177, 57.4326, 54.7679,
16858  51.9106, 48.8468, 45.5617, 42.0391, 38.2619, 34.2118, 31.6221,
16859  29.9903, 28.2407, 26.3647, 24.353, 22.2284, 21.055, 19.7967,
16860  18.4475, 17.0127, 16.0362, 14.9891, 13.8663, 13.0905, 12.3117,
16861  11.5383, 10.841, 10.1293, 9.57618, 9.02189, 8.5408, 8.07139,
16862  7.60925, 7.19132, 6.75802, 6.41416, 6.10326, 5.72932, 5.44507,
16863  5.12776, 4.82094, 4.46414, 4.17139, 3.84347, 3.53556, 3.24393,
16864  2.9843, 2.69534, 2.44796, 2.18856, 1.96484, 1.75857, 1.54512,
16865  1.37214, 1.21426, 1.07206, 0.940252, 0.815264, 0.705276, 0.604818,
16866  0.505785, 0.415648, 0.337851, 0.252717, 0.17694, 0.0, 0.0,
16867  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16868  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16869  544.461, 532.172, 518.995, 504.866, 489.716, 473.471, 456.052,
16870  437.374, 417.347, 395.872, 372.845, 348.154, 321.679, 293.29,
16871  262.85, 230.21, 195.211, 157.683, 117.443, 74.2953, 58.2857,
16872  55.901, 53.3441, 50.6023, 47.6624, 44.5101, 41.1299, 37.5055,
16873  33.6191, 30.5806, 29.0289, 27.365, 25.5809, 23.6678, 21.6165,
16874  20.3003, 19.0858, 17.7836, 16.3872, 15.363, 14.3759, 13.3176,
16875  12.4667, 11.6886, 10.8846, 10.2517, 9.57321, 9.05991, 8.5277,
16876  8.0455, 7.59421, 7.21832, 6.78158, 6.3842, 6.03635, 5.71175,
16877  5.47382, 5.22693, 4.89089, 4.67673, 4.39747, 4.12662, 3.87213,
16878  3.6252, 3.34335, 3.04651, 2.76918, 2.5106, 2.27228, 2.01747,
16879  1.81774, 1.61196, 1.41634, 1.26659, 1.10848, 0.96981, 0.850756,
16880  0.732745, 0.633461, 0.52982, 0.434695, 0.348773, 0.273021, 0.196437,
16881  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16882  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16883  0.0, 0.0, 532.872, 521.041, 508.354, 494.751, 480.164,
16884  464.524, 447.753, 429.77, 410.487, 389.811, 367.641, 343.869,
16885  318.379, 291.046, 261.739, 230.313, 196.616, 160.485, 121.742,
16886  80.1988, 56.2406, 54.0023, 51.6021, 49.0285, 46.2689, 43.3099,
16887  40.1371, 36.7349, 33.0869, 29.7071, 28.2415, 26.6701, 24.985,
16888  23.1782, 21.2408, 19.7838, 18.616, 17.3638, 16.0211, 14.9448,
16889  14.0297, 13.0485, 12.1713, 11.4246, 10.624, 9.96056, 9.2676,
16890  8.71829, 8.19952, 7.69285, 7.19634, 6.8385, 6.41738, 5.99951,
16891  5.66406, 5.37773, 5.14661, 4.91008, 4.65005, 4.46091, 4.23328,
16892  4.05031, 3.81536, 3.57053, 3.32959, 3.0776, 2.85755, 2.59457,
16893  2.3319, 2.09905, 1.86888, 1.66011, 1.48096, 1.30296, 1.14312,
16894  1.00628, 0.879797, 0.757194, 0.646445, 0.55411, 0.456817, 0.371081,
16895  0.29031, 0.213416, 0.141377, 0.0, 0.0, 0.0, 0.0,
16896  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16897  0.0, 0.0, 0.0, 0.0, 528.604, 517.066, 504.693,
16898  491.427, 477.202, 461.949, 445.594, 428.056, 409.252, 389.088,
16899  367.467, 344.284, 319.426, 292.77, 264.189, 233.542, 200.681,
16900  165.444, 127.661, 87.1479, 55.4388, 53.2823, 50.97, 48.4906,
16901  45.832, 42.9813, 39.9246, 36.647, 33.1325, 29.3723, 27.9455,
16902  26.4155, 24.775, 23.0159, 21.1297, 19.5294, 18.418, 17.2263,
16903  15.9485, 14.7907, 13.8635, 12.8693, 11.9066, 11.1457, 10.3297,
16904  9.64169, 8.98051, 8.40411, 7.90266, 7.43116, 6.96218, 6.49105,
16905  6.07083, 5.72057, 5.40448, 5.10575, 4.87915, 4.59652, 4.38539,
16906  4.14844, 3.98416, 3.85999, 3.68888, 3.4693, 3.30551, 3.08952,
16907  2.87323, 2.63772, 2.40921, 2.16169, 1.93575, 1.73685, 1.53016,
16908  1.35436, 1.1865, 1.04697, 0.910761, 0.786364, 0.674449, 0.577126,
16909  0.478962, 0.39051, 0.310638, 0.229828, 0.156205, 0.0, 0.0,
16910  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16911  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 525.39,
16912  514.125, 502.045, 489.092, 475.203, 460.31, 444.341, 427.218,
16913  408.858, 389.17, 368.06, 345.425, 321.153, 295.128, 267.222,
16914  237.299, 205.213, 170.809, 133.919, 94.3625, 55.2612, 53.1585,
16915  50.9038, 48.4862, 45.8939, 43.1142, 40.1337, 36.9377, 33.5108,
16916  29.8363, 27.9287, 26.3884, 24.7367, 22.9657, 21.0666, 19.2626,
16917  18.167, 16.9922, 15.7325, 14.5008, 13.6305, 12.6974, 11.7287,
16918  11.0405, 10.3025, 9.58632, 8.89033, 8.22989, 7.69136, 7.19288,
16919  6.75626, 6.34568, 5.9367, 5.53604, 5.1691, 4.87501, 4.6187,
16920  4.36049, 4.12092, 3.90674, 3.77454, 3.62152, 3.48914, 3.31546,
16921  3.16948, 3.02802, 2.8503, 2.66866, 2.46266, 2.24877, 2.00878,
16922  1.77602, 1.57786, 1.40199, 1.24815, 1.08161, 0.947404, 0.813347,
16923  0.705992, 0.596912, 0.495932, 0.414119, 0.328063, 0.249488, 0.171031,
16924  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16925  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16926  0.0, 518.551, 507.643, 495.947, 483.405, 469.957, 455.538,
16927  440.076, 423.497, 405.72, 386.658, 366.218, 344.302, 320.801,
16928  295.603, 268.583, 239.611, 208.544, 175.233, 139.515, 101.215,
16929  60.1472, 53.4057, 51.1682, 48.769, 46.1963, 43.4378, 40.4799,
16930  37.3082, 33.9073, 30.2607, 27.9182, 26.4327, 24.8399, 23.1319,
16931  21.3005, 19.3651, 18.2702, 17.0961, 15.8372, 14.4987, 13.6099,
16932  12.657, 11.6351, 10.9172, 10.1946, 9.48911, 8.88128, 8.25066,
16933  7.69841, 7.12836, 6.58186, 6.15296, 5.79995, 5.37547, 5.0747,
16934  4.7741, 4.45373, 4.19039, 3.967, 3.73789, 3.54225, 3.386,
16935  3.25892, 3.136, 3.02723, 2.93395, 2.79719, 2.64654, 2.46786,
16936  2.24698, 2.06944, 1.84039, 1.64861, 1.45762, 1.2822, 1.11793,
16937  0.975143, 0.845088, 0.734758, 0.618497, 0.521581, 0.432044, 0.350513,
16938  0.269317, 0.187983, 0.0, 0.0, 0.0, 0.0, 0.0,
16939  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16940  0.0, 0.0, 0.0, 519.37, 508.642, 497.139, 484.805,
16941  471.579, 457.397, 442.191, 425.886, 408.402, 389.655, 369.553,
16942  347.998, 324.886, 300.103, 273.529, 245.035, 214.482, 181.721,
16943  146.592, 108.925, 68.5352, 54.174, 51.9474, 49.5598, 46.9997,
16944  44.2546, 41.3111, 38.1549, 34.7706, 31.1418, 28.3196, 26.8108,
16945  25.1929, 23.4581, 21.598, 19.6034, 18.3604, 17.2067, 15.9696,
16946  14.6431, 13.7209, 12.838, 11.8913, 11.0902, 10.3255, 9.53365,
16947  8.87055, 8.15952, 7.6649, 7.15113, 6.66595, 6.17829, 5.7056,
16948  5.35119, 5.02169, 4.68708, 4.32033, 4.00956, 3.7953, 3.59614,
16949  3.38393, 3.21835, 3.05598, 2.95141, 2.85898, 2.75445, 2.6639,
16950  2.58057, 2.45942, 2.28293, 2.08956, 1.90344, 1.70231, 1.51414,
16951  1.31996, 1.16559, 1.0149, 0.875975, 0.754264, 0.650458, 0.547663,
16952  0.451005, 0.367249, 0.280099, 0.201856, 0.0, 0.0, 0.0,
16953  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16954  0.0, 0.0, 0.0, 0.0, 0.0, 527.77, 517.018,
16955  505.488, 493.126, 479.869, 465.655, 450.414, 434.071, 416.548,
16956  397.757, 377.609, 356.005, 332.84, 308.0, 281.366, 252.806,
16957  222.183, 189.347, 154.137, 116.383, 75.9011, 53.8361, 51.692,
16958  49.3931, 46.9279, 44.2847, 41.4504, 38.4113, 35.1525, 31.6583,
16959  28.4815, 27.0091, 25.4302, 23.7373, 21.9221, 19.9756, 18.558,
16960  17.411, 16.1811, 14.8623, 13.8321, 12.9488, 12.0018, 11.1461,
16961  10.3853, 9.56953, 8.971, 8.34516, 7.7555, 7.14823, 6.68021,
16962  6.21643, 5.76796, 5.3727, 5.00034, 4.63527, 4.27079, 4.05386,
16963  3.75578, 3.50979, 3.27273, 3.10311, 2.94414, 2.81523, 2.69491,
16964  2.60259, 2.51358, 2.4864, 2.36581, 2.25427, 2.11446, 1.95285,
16965  1.76873, 1.5484, 1.37625, 1.2105, 1.05199, 0.912963, 0.783402,
16966  0.679852, 0.562365, 0.47518, 0.375351, 0.298051, 0.221854, 0.148585,
16967  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16968  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16969  525.208, 514.716, 503.466, 491.403, 478.468, 464.598, 449.726,
16970  433.779, 416.68, 398.345, 378.686, 357.605, 335.001, 310.763,
16971  284.774, 256.907, 227.025, 194.985, 160.628, 123.789, 84.2882,
16972  55.196, 52.9912, 50.6271, 48.0921, 45.374, 42.4593, 39.3341,
16973  35.983, 32.3897, 28.6639, 27.2458, 25.7251, 24.0946, 22.3462,
16974  20.4714, 18.9057, 17.7565, 16.5242, 15.2029, 14.0353, 13.09,
16975  12.0763, 11.1403, 10.456, 9.72225, 9.07865, 8.43484, 7.81918,
16976  7.21366, 6.72571, 6.27703, 5.86616, 5.44056, 5.01282, 4.62486,
16977  4.33263, 4.0079, 3.7405, 3.47967, 3.21967, 3.02874, 2.87542,
16978  2.68747, 2.55818, 2.46005, 2.3944, 2.31874, 2.28113, 2.21592,
16979  2.09589, 1.96941, 1.80299, 1.61303, 1.41107, 1.25232, 1.08475,
16980  0.944401, 0.806912, 0.690914, 0.585199, 0.485524, 0.398435, 0.318361,
16981  0.240812, 0.16531, 0.0, 0.0, 0.0, 0.0, 0.0,
16982  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16983  0.0, 0.0, 527.175, 516.797, 505.67, 493.738, 480.944,
16984  467.225, 452.515, 436.742, 419.829, 401.694, 382.248, 361.397,
16985  339.039, 315.066, 289.36, 261.796, 232.24, 200.548, 166.566,
16986  130.129, 91.0575, 54.8757, 52.747, 50.4644, 48.017, 45.3926,
16987  42.5786, 39.5612, 36.3257, 32.8565, 29.1365, 27.4064, 25.9129,
16988  24.3114, 22.5942, 20.753, 19.0496, 17.9363, 16.7425, 15.4624,
16989  14.2421, 13.3504, 12.3943, 11.4198, 10.6818, 9.89044, 9.1787,
16990  8.51834, 7.89848, 7.36892, 6.8267, 6.27032, 5.81158, 5.39676,
16991  5.04951, 4.68412, 4.29352, 3.9971, 3.73038, 3.46605, 3.22383,
16992  3.00762, 2.80885, 2.63505, 2.46936, 2.33235, 2.24369, 2.17665,
16993  2.1377, 2.09717, 2.04665, 1.95277, 1.82121, 1.65622, 1.46546,
16994  1.28622, 1.11482, 0.974357, 0.836845, 0.719159, 0.61202, 0.515969,
16995  0.425077, 0.335648, 0.253524, 0.181896, 0.0, 0.0, 0.0,
16996  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
16997  0.0, 0.0, 0.0, 0.0, 534.596, 524.231, 513.116,
16998  501.198, 488.419, 474.717, 460.024, 444.269, 427.376, 409.261,
16999  389.838, 369.011, 346.679, 322.734, 297.057, 269.525, 240.004,
17000  208.349, 174.406, 138.011, 98.9853, 57.1393, 53.3388, 51.0826,
17001  48.6634, 46.0694, 43.2879, 40.3054, 37.1074, 33.6782, 30.0013,
17002  27.7898, 26.2386, 24.5753, 22.7917, 20.8793, 18.9404, 17.8751,
17003  16.7327, 15.5079, 14.2435, 13.3737, 12.4411, 11.4411, 10.7298,
17004  9.98025, 9.27487, 8.67158, 8.03419, 7.38486, 6.80152, 6.40837,
17005  5.97598, 5.52047, 5.10061, 4.67255, 4.33143, 4.04672, 3.75689,
17006  3.46196, 3.18872, 2.98037, 2.75794, 2.59063, 2.37498, 2.28892,
17007  2.16338, 2.08109, 2.0344, 1.97602, 1.94196, 1.90224, 1.80789,
17008  1.68923, 1.52084, 1.34747, 1.16237, 1.01502, 0.872548, 0.744623,
17009  0.636093, 0.532068, 0.445842, 0.357435, 0.273053, 0.19049, 0.0,
17010  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17011  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 531.597,
17012  521.458, 510.586, 498.928, 486.428, 473.025, 458.653, 443.242,
17013  426.718, 408.999, 390.0, 369.628, 347.784, 324.361, 299.246,
17014  272.315, 243.438, 212.475, 179.273, 143.673, 105.499, 64.5674,
17015  53.6052, 51.3789, 48.9916, 46.4319, 43.6871, 40.744, 37.5882,
17016  34.2044, 30.5759, 27.984, 26.5035, 24.916, 23.2138, 21.3886,
17017  19.4315, 18.2614, 17.0845, 15.8226, 14.4695, 13.5661, 12.6486,
17018  11.6647, 10.8882, 10.1328, 9.37221, 8.73573, 8.06137, 7.51231,
17019  6.94234, 6.43525, 5.96116, 5.52823, 5.12261, 4.78381, 4.44777,
17020  4.07371, 3.77373, 3.52205, 3.26532, 3.02483, 2.80906, 2.60503,
17021  2.3891, 2.23372, 2.09313, 2.01117, 1.90096, 1.85323, 1.84726,
17022  1.82863, 1.78614, 1.69197, 1.55452, 1.38263, 1.22038, 1.04187,
17023  0.901975, 0.774221, 0.656771, 0.550476, 0.458931, 0.370999, 0.28618,
17024  0.204994, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17025  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17026  0.0, 539.793, 529.648, 518.769, 507.105, 494.597, 481.185,
17027  466.805, 451.385, 434.85, 417.121, 398.11, 377.726, 355.868,
17028  332.431, 307.3, 280.353, 251.459, 220.476, 187.255, 151.632,
17029  113.436, 72.4787, 54.3056, 52.1092, 49.7541, 47.2287, 44.5209,
17030  41.6174, 38.504, 35.1657, 31.5861, 28.5802, 27.0783, 25.4677,
17031  23.7408, 21.8891, 19.9036, 18.5384, 17.3382, 16.0513, 14.6713,
17032  13.6705, 12.7698, 11.8039, 10.9905, 10.2633, 9.49377, 8.88464,
17033  8.23148, 7.62462, 6.98823, 6.53574, 6.07139, 5.61097, 5.18803,
17034  4.80569, 4.46943, 4.14725, 3.89009, 3.56774, 3.26539, 2.98515,
17035  2.80218, 2.61101, 2.39492, 2.21229, 2.08486, 1.9437, 1.84191,
17036  1.75693, 1.71626, 1.70273, 1.70551, 1.65825, 1.56802, 1.40544,
17037  1.24756, 1.0875, 0.943179, 0.802272, 0.684609, 0.574243, 0.475524,
17038  0.390402, 0.307736, 0.227841, 0.0, 0.0, 0.0, 0.0,
17039  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17040  0.0, 0.0, 0.0, 536.935, 527.002, 516.352, 504.931,
17041  492.685, 479.555, 465.475, 450.378, 434.19, 416.832, 398.22,
17042  378.262, 356.863, 333.916, 309.312, 282.929, 254.64, 224.307,
17043  191.781, 156.905, 119.508, 79.4091, 54.5363, 52.3434, 49.9921,
17044  47.4708, 44.7674, 41.8686, 38.7602, 35.4273, 31.8535, 28.4366,
17045  27.0118, 25.484, 23.8459, 22.0893, 20.2058, 18.722, 17.537,
17046  16.2664, 14.904, 13.8485, 13.0341, 12.1608, 11.3298, 10.5773,
17047  9.77036, 9.08841, 8.38443, 7.763, 7.1563, 6.65298, 6.16261,
17048  5.72179, 5.3039, 4.92099, 4.59268, 4.19087, 3.87604, 3.58663,
17049  3.28448, 3.0591, 2.8233, 2.60695, 2.40973, 2.23278, 2.0633,
17050  1.9202, 1.80646, 1.72182, 1.65665, 1.61731, 1.60107, 1.60385,
17051  1.55149, 1.44588, 1.30176, 1.12679, 0.96776, 0.831239, 0.70804,
17052  0.596559, 0.507409, 0.40153, 0.320613, 0.243158, 0.161524, 0.0,
17053  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17054  0.0, 0.0, 0.0, 0.0, 0.0, 542.452, 532.571,
17055  521.976, 510.615, 498.432, 485.37, 471.364, 456.345, 440.241,
17056  422.973, 404.457, 384.604, 363.315, 340.488, 316.011, 289.766,
17057  261.624, 231.448, 199.091, 164.396, 127.194, 87.3028, 55.5466,
17058  53.3561, 51.0072, 48.4886, 45.7879, 42.8921, 39.787, 36.4576,
17059  32.8875, 29.0594, 27.5774, 26.0136, 24.3367, 22.5386, 20.6106,
17060  18.9535, 17.7955, 16.5539, 15.2225, 14.0409, 13.1573, 12.2099,
17061  11.2872, 10.5578, 9.7757, 9.10439, 8.45739, 7.8347, 7.23277,
17062  6.70832, 6.2166, 5.78032, 5.36014, 4.96828, 4.60496, 4.31133,
17063  3.93486, 3.64225, 3.3668, 3.10307, 2.84217, 2.65684, 2.43185,
17064  2.23225, 2.07895, 1.91072, 1.77227, 1.68693, 1.60623, 1.53166,
17065  1.52228, 1.52418, 1.51291, 1.43933, 1.33094, 1.16847, 1.01267,
17066  0.857614, 0.73015, 0.619354, 0.522019, 0.423833, 0.338193, 0.258446,
17067  0.176277, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17068  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17069  538.216, 528.555, 518.197, 507.089, 495.179, 482.408, 468.714,
17070  454.031, 438.287, 421.404, 403.302, 383.891, 363.078, 340.761,
17071  316.83, 291.171, 263.657, 234.155, 202.52, 168.6, 132.228,
17072  93.2277, 55.3393, 53.2068, 50.9201, 48.4683, 45.8392, 43.0201,
17073  39.9973, 36.7561, 33.2806, 29.554, 27.6937, 26.1754, 24.5474,
17074  22.8016, 20.9298, 19.1631, 18.0613, 16.8798, 15.6129, 14.3791,
17075  13.4851, 12.5265, 11.5345, 10.7953, 10.0026, 9.29286, 8.65739,
17076  8.01735, 7.40717, 6.81788, 6.26147, 5.84554, 5.44564, 5.01719,
17077  4.67616, 4.30474, 3.9858, 3.69671, 3.42991, 3.16273, 2.89607,
17078  2.6723, 2.48051, 2.2506, 2.0917, 1.92374, 1.77368, 1.66139,
17079  1.54929, 1.47709, 1.44124, 1.42776, 1.44033, 1.43004, 1.33893,
17080  1.20736, 1.03843, 0.9011, 0.761639, 0.639638, 0.540268, 0.44101,
17081  0.357935, 0.270723, 0.193359, 0.0, 0.0, 0.0, 0.0,
17082  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17083  0.0, 0.0, 549.197, 539.459, 529.016, 517.82, 505.814,
17084  492.94, 479.136, 464.335, 448.464, 431.446, 413.198, 393.631,
17085  372.65, 350.154, 326.031, 300.165, 272.43, 242.69, 210.801,
17086  176.608, 139.944, 100.63, 58.4748, 53.4464, 51.1962, 48.7834,
17087  46.1962, 43.422, 40.4474, 37.2578, 33.8377, 30.1704, 27.9008,
17088  26.3663, 24.721, 22.9567, 21.065, 19.1142, 18.0423, 16.8929,
17089  15.6605, 14.3756, 13.5415, 12.6472, 11.6882, 10.9377, 10.1525,
17090  9.39923, 8.74783, 8.07957, 7.49288, 6.92428, 6.45699, 5.99652,
17091  5.53956, 5.12956, 4.75591, 4.41288, 4.07371, 3.74796, 3.46143,
17092  3.17274, 2.94541, 2.7001, 2.49133, 2.25897, 2.12127, 1.93859,
17093  1.80804, 1.64873, 1.52889, 1.45348, 1.38106, 1.35463, 1.35669,
17094  1.37831, 1.3442, 1.22751, 1.08196, 0.922471, 0.789711, 0.666091,
17095  0.552333, 0.459438, 0.373212, 0.286793, 0.210021, 0.0, 0.0,
17096  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17097  0.0, 0.0, 0.0, 0.0, 546.643, 537.113, 526.896,
17098  515.939, 504.191, 491.594, 478.087, 463.604, 448.074, 431.421,
17099  413.565, 394.419, 373.889, 351.875, 328.271, 302.961, 275.821,
17100  246.721, 215.517, 182.059, 146.182, 107.713, 66.4632, 54.7323,
17101  52.4319, 49.9652, 47.3203, 44.4843, 41.4433, 38.1825, 34.6861,
17102  30.937, 28.2218, 26.6994, 25.0669, 23.3164, 21.4395, 19.4268,
17103  18.2761, 17.1461, 15.9344, 14.6352, 13.7255, 12.8047, 11.8175,
17104  11.0267, 10.2602, 9.48304, 8.82788, 8.13096, 7.56744, 6.98061,
17105  6.46053, 6.00591, 5.6372, 5.24882, 4.83484, 4.41623, 4.05038,
17106  3.79665, 3.52261, 3.24481, 3.01072, 2.75717, 2.53037, 2.33275,
17107  2.13938, 1.97997, 1.82032, 1.66675, 1.5356, 1.42816, 1.35626,
17108  1.30233, 1.28723, 1.30264, 1.30767, 1.22921, 1.11226, 0.96649,
17109  0.814376, 0.688372, 0.576255, 0.480386, 0.390785, 0.300833, 0.220004,
17110  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17111  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 547.512,
17112  538.09, 527.988, 517.155, 505.54, 493.085, 479.73, 465.41,
17113  450.055, 433.591, 415.936, 397.006, 376.708, 354.943, 331.604,
17114  306.58, 279.747, 250.974, 220.123, 187.042, 151.57, 113.534,
17115  72.7505, 54.5344, 52.3, 49.9042, 47.3351, 44.5805, 41.6267,
17116  38.4595, 35.0635, 31.4219, 28.3845, 26.9389, 25.3889, 23.7269,
17117  21.9448, 20.0338, 18.7152, 17.5563, 16.3136, 14.9812, 13.958,
17118  13.0085, 11.9905, 11.1314, 10.3633, 9.55154, 8.9438, 8.29213,
17119  7.68543, 7.04927, 6.60642, 6.14529, 5.67077, 5.25723, 4.881,
17120  4.54411, 4.22283, 3.83892, 3.52703, 3.2889, 3.02743, 2.77247,
17121  2.55609, 2.37194, 2.16489, 1.97806, 1.81536, 1.69558, 1.55169,
17122  1.42515, 1.32222, 1.25557, 1.21561, 1.22257, 1.25064, 1.22602,
17123  1.14641, 0.987601, 0.847058, 0.714501, 0.595433, 0.5041, 0.402587,
17124  0.315406, 0.231347, 0.0, 0.0, 0.0, 0.0, 0.0,
17125  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17126  0.0, 548.582, 539.271, 529.287, 518.582, 507.103, 494.794,
17127  481.596, 467.444, 452.27, 435.998, 418.551, 399.843, 379.783,
17128  358.274, 335.21, 310.479, 283.961, 255.527, 225.037, 192.345,
17129  157.29, 119.701, 79.3961, 54.8419, 52.6518, 50.3033, 47.7852,
17130  45.085, 42.1897, 39.0852, 35.7563, 32.1869, 28.7971, 27.3473,
17131  25.7926, 24.1257, 22.3383, 20.4217, 18.9294, 17.7374, 16.4594,
17132  15.089, 14.0299, 13.2018, 12.3139, 11.4266, 10.5568, 9.62415,
17133  8.95637, 8.28501, 7.7223, 7.18566, 6.6769, 6.16841, 5.74992,
17134  5.36045, 4.98757, 4.6193, 4.24337, 3.9238, 3.56273, 3.31506,
17135  3.06352, 2.81681, 2.60583, 2.43389, 2.20913, 1.99881, 1.83741,
17136  1.69334, 1.55872, 1.42769, 1.33252, 1.21953, 1.17533, 1.15756,
17137  1.17929, 1.20902, 1.1486, 1.02871, 0.873892, 0.745032, 0.623141,
17138  0.516138, 0.422554, 0.332128, 0.251739, 0.169141, 0.0, 0.0,
17139  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17140  0.0, 0.0, 0.0, 555.924, 546.618, 536.64, 525.94,
17141  514.468, 502.166, 488.975, 474.831, 459.664, 443.402, 425.964,
17142  407.267, 387.218, 365.72, 342.668, 317.951, 291.447, 263.028,
17143  232.556, 199.881, 164.845, 127.277, 86.9935, 55.8907, 53.6584,
17144  51.2648, 48.6983, 45.9462, 42.9953, 39.8311, 36.4382, 32.8001,
17145  28.9361, 27.4762, 25.9107, 24.2321, 22.4322, 20.5023, 18.8847,
17146  17.7694, 16.5736, 15.2913, 14.1837, 13.3745, 12.5068, 11.6092,
17147  10.7283, 9.78377, 9.08885, 8.46709, 7.86947, 7.28683, 6.74205,
17148  6.20003, 5.75581, 5.34089, 4.9722, 4.65783, 4.29793, 3.9753,
17149  3.62604, 3.40071, 3.13085, 2.87994, 2.66706, 2.41918, 2.22923,
17150  2.00298, 1.85634, 1.718, 1.57551, 1.43835, 1.33343, 1.22606,
17151  1.16797, 1.11198, 1.11178, 1.15585, 1.14396, 1.0568, 0.921585,
17152  0.776243, 0.641677, 0.527825, 0.44329, 0.349314, 0.263372, 0.1794,
17153  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17154  0.0, 0.0, 0.0, 0.0, 0.0, 554.187, 545.049,
17155  535.251, 524.744, 513.478, 501.398, 488.445, 474.556, 459.663,
17156  443.694, 426.57, 408.21, 388.522, 367.412, 344.776, 320.504,
17157  294.478, 266.572, 236.648, 204.562, 170.158, 133.267, 93.7101,
17158  56.7399, 54.4719, 52.04, 49.4324, 46.6363, 43.6382, 40.4233,
17159  36.9762, 33.2799, 29.3165, 27.5173, 26.007, 24.3876, 22.6512,
17160  20.7893, 19.0733, 18.0006, 16.8504, 15.617, 14.4192, 13.4896,
17161  12.493, 11.4831, 10.7808, 10.0277, 9.3108, 8.6123, 7.96071,
17162  7.41609, 6.89348, 6.39492, 5.91082, 5.45529, 5.07242, 4.70491,
17163  4.3248, 3.97897, 3.69569, 3.41577, 3.12953, 2.93007, 2.69598,
17164  2.43394, 2.24308, 2.08554, 1.91678, 1.74862, 1.58759, 1.46339,
17165  1.34481, 1.22075, 1.14821, 1.0758, 1.06546, 1.07736, 1.11203,
17166  1.07065, 0.948036, 0.80679, 0.671371, 0.553231, 0.455115, 0.358115,
17167  0.281962, 0.198158, 0.0, 0.0, 0.0, 0.0, 0.0,
17168  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17169  557.208, 548.122, 538.378, 527.931, 516.728, 504.716, 491.836,
17170  478.025, 463.216, 447.337, 430.31, 412.053, 392.476, 371.485,
17171  348.977, 324.842, 298.963, 271.213, 241.458, 209.553, 175.343,
17172  138.66, 99.3256, 57.1491, 54.0491, 51.7442, 49.2727, 46.6227,
17173  43.7811, 40.7342, 37.4671, 33.9639, 30.2075, 28.0428, 26.5315,
17174  24.911, 23.1734, 21.3102, 19.4298, 18.2993, 17.0871, 15.7873,
17175  14.457, 13.547, 12.5712, 11.5249, 10.8794, 10.1952, 9.50088,
17176  8.81334, 8.12368, 7.53867, 6.97124, 6.47642, 6.01952, 5.57529,
17177  5.14536, 4.70109, 4.38271, 4.08773, 3.75548, 3.48295, 3.21444,
17178  2.9346, 2.72744, 2.51352, 2.30474, 2.09745, 1.95952, 1.77527,
17179  1.62907, 1.48556, 1.34988, 1.22841, 1.13968, 1.06813, 1.03614,
17180  1.01999, 1.06585, 1.04393, 0.971976, 0.832102, 0.695383, 0.57253,
17181  0.473719, 0.385192, 0.293282, 0.208805, 0.0, 0.0, 0.0,
17182  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17183  0.0, 0.0, 548.017, 539.224, 529.796, 519.687, 508.847,
17184  497.224, 484.761, 471.397, 457.067, 441.702, 425.227, 407.56,
17185  388.618, 368.306, 346.526, 323.172, 298.131, 271.28, 242.488,
17186  211.616, 178.513, 143.017, 104.956, 64.1451, 54.9117, 52.5927,
17187  50.1061, 47.4397, 44.5807, 41.5151, 38.228, 34.7033, 30.9238,
17188  28.3295, 26.7723, 25.1025, 23.3121, 21.3922, 19.3337, 18.2114,
17189  17.0446, 15.7935, 14.4519, 13.6376, 12.7911, 11.8833, 11.0737,
17190  10.2399, 9.43895, 8.84678, 8.2227, 7.66823, 7.08711, 6.51927,
17191  6.04481, 5.65836, 5.24442, 4.88713, 4.5122, 4.10522, 3.7831,
17192  3.50768, 3.23411, 2.99252, 2.76088, 2.54697, 2.32847, 2.14331,
17193  1.95705, 1.802, 1.63479, 1.52597, 1.37455, 1.26335, 1.15213,
17194  1.05125, 0.998425, 0.980064, 1.002, 1.02812, 0.987587, 0.852465,
17195  0.710655, 0.598287, 0.487268, 0.400206, 0.3096, 0.227285, 0.0,
17196  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17197  0.0, 0.0, 0.0, 0.0, 565.158, 556.171, 546.534,
17198  536.2, 525.12, 513.239, 500.499, 486.839, 472.191, 456.485,
17199  439.644, 421.586, 402.222, 381.46, 359.197, 335.325, 309.728,
17200  282.281, 252.851, 221.294, 187.456, 151.173, 112.268, 70.5512,
17201  54.8797, 52.586, 50.1266, 47.4895, 44.6618, 41.6298, 38.3786,
17202  34.8925, 31.1544, 28.2364, 26.7882, 25.2355, 23.5704, 21.7851,
17203  19.8708, 18.6276, 17.481, 16.2515, 14.9332, 13.9287, 12.9509,
17204  11.9024, 11.0564, 10.2838, 9.4867, 8.88054, 8.23057, 7.73562,
17205  7.21891, 6.67376, 6.14306, 5.66424, 5.29872, 4.92541, 4.53468,
17206  4.15414, 3.83007, 3.57637, 3.2936, 3.02403, 2.79431, 2.54484,
17207  2.37441, 2.19772, 1.97398, 1.80733, 1.65978, 1.52492, 1.40344,
17208  1.27095, 1.15876, 1.06761, 0.989167, 0.953411, 0.956243, 0.99682,
17209  0.977099, 0.886656, 0.744914, 0.617582, 0.501914, 0.408114, 0.324774,
17210  0.237162, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17211  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 559.416,
17212  550.636, 541.221, 531.127, 520.302, 508.696, 496.251, 482.906,
17213  468.597, 453.254, 436.802, 419.161, 400.246, 379.963, 358.214,
17214  334.894, 309.889, 283.077, 254.326, 223.499, 190.443, 154.998,
17215  116.992, 76.2399, 54.7969, 52.57, 50.1821, 47.6217, 44.8762,
17216  41.9323, 38.7757, 35.3909, 31.7616, 28.5273, 27.0678, 25.5028,
17217  23.8246, 22.0252, 20.0958, 18.7197, 17.5984, 16.3961, 15.1069,
17218  14.0821, 13.1726, 12.1975, 11.325, 10.5466, 9.71199, 9.08006,
17219  8.41192, 7.75415, 7.06493, 6.6331, 6.21402, 5.79644, 5.34937,
17220  4.92295, 4.55798, 4.19933, 3.92834, 3.56721, 3.3027, 3.07374,
17221  2.83098, 2.59243, 2.43022, 2.1952, 2.03071, 1.84822, 1.69473,
17222  1.54997, 1.41778, 1.28675, 1.1866, 1.07878, 1.00022, 0.927142,
17223  0.894766, 0.942154, 0.957097, 0.897097, 0.776839, 0.64423, 0.530755,
17224  0.431444, 0.34261, 0.253837, 0.0, 0.0, 0.0, 0.0,
17225  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17226  0.0, 557.102, 548.469, 539.212, 529.285, 518.642, 507.229,
17227  494.992, 481.87, 467.8, 452.713, 436.536, 419.19, 400.59,
17228  380.647, 359.261, 336.331, 311.743, 285.378, 257.108, 226.795,
17229  194.292, 159.439, 122.068, 81.9963, 54.8937, 52.7456, 50.4424,
17230  47.9726, 45.3244, 42.4848, 39.44, 36.1752, 32.6744, 29.1802,
17231  27.6955, 26.1036, 24.3967, 22.5664, 20.6038, 19.0761, 17.9837,
17232  16.8124, 15.5565, 14.4032, 13.3553, 12.2317, 11.2523, 10.5733,
17233  9.8452, 9.13484, 8.38917, 7.82468, 7.3542, 6.76946, 6.14264,
17234  5.76821, 5.37373, 4.97277, 4.59921, 4.27843, 3.95345, 3.64807,
17235  3.36554, 3.10781, 2.84936, 2.60502, 2.41045, 2.25209, 2.03585,
17236  1.86798, 1.70275, 1.58708, 1.44978, 1.31535, 1.18498, 1.08793,
17237  1.00348, 0.922201, 0.877768, 0.887799, 0.929314, 0.922003, 0.800286,
17238  0.671144, 0.55081, 0.445619, 0.351118, 0.268254, 0.185389, 0.0,
17239  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17240  0.0, 0.0, 0.0, 568.729, 560.014, 550.668, 540.647,
17241  529.902, 518.381, 506.027, 492.78, 478.575, 463.345, 447.013,
17242  429.502, 410.724, 390.59, 369.001, 345.852, 321.029, 294.413,
17243  265.873, 235.271, 202.457, 167.272, 129.545, 89.0904, 55.6472,
17244  53.5163, 51.2315, 48.7815, 46.1545, 43.3376, 40.3171, 37.0784,
17245  33.6056, 29.8819, 28.2638, 26.6288, 24.8757, 22.9958, 20.9801,
17246  19.2303, 18.0578, 16.8006, 15.4525, 14.25, 13.3903, 12.4685,
17247  11.5557, 10.8236, 10.0387, 9.33383, 8.64645, 7.99883, 7.39767,
17248  6.82906, 6.26978, 5.87627, 5.46457, 5.03075, 4.68258, 4.31114,
17249  3.98977, 3.68553, 3.40538, 3.15657, 2.89155, 2.67035, 2.45789,
17250  2.238, 2.03881, 1.91073, 1.74566, 1.59561, 1.47119, 1.33,
17251  1.22104, 1.08308, 0.9959, 0.905288, 0.857485, 0.847954, 0.887597,
17252  0.912993, 0.820408, 0.683028, 0.562075, 0.461649, 0.366445, 0.280371,
17253  0.19735, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17254  0.0, 0.0, 0.0, 0.0, 0.0, 566.803, 558.218,
17255  549.012, 539.141, 528.557, 517.208, 505.039, 491.99, 477.999,
17256  462.996, 446.909, 429.659, 411.163, 391.331, 370.065, 347.262,
17257  322.811, 296.593, 268.481, 238.337, 206.015, 171.356, 134.193,
17258  94.3447, 55.4062, 53.3263, 51.096, 48.7046, 46.1403, 43.3908,
17259  40.4425, 37.2811, 33.8913, 30.2566, 28.3293, 26.7193, 24.9929,
17260  23.1417, 21.1568, 19.2875, 18.1643, 16.9599, 15.6684, 14.4156,
17261  13.5417, 12.6047, 11.6296, 10.8701, 10.0557, 9.34789, 8.74043,
17262  8.09669, 7.42075, 6.84347, 6.39964, 5.94822, 5.50298, 5.10265,
17263  4.74185, 4.41882, 4.07584, 3.73235, 3.44317, 3.15414, 2.94586,
17264  2.70723, 2.4813, 2.30108, 2.10646, 1.93487, 1.76388, 1.60578,
17265  1.47697, 1.32908, 1.2245, 1.11468, 1.00654, 0.912469, 0.863801,
17266  0.813298, 0.834866, 0.885227, 0.8395, 0.721335, 0.585095, 0.478613,
17267  0.385282, 0.29885, 0.211004, 0.0, 0.0, 0.0, 0.0,
17268  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17269  569.601, 561.078, 551.938, 542.138, 531.63, 520.362, 508.28,
17270  495.325, 481.433, 466.538, 450.566, 433.44, 415.077, 395.386,
17271  374.272, 351.633, 327.357, 301.328, 273.417, 243.488, 211.398,
17272  176.988, 140.091, 100.528, 58.1055, 53.7758, 51.476, 49.0099,
17273  46.3656, 43.5303, 40.49, 37.2301, 33.7345, 29.9863, 27.7848,
17274  26.3301, 24.7701, 23.0975, 21.3039, 19.4639, 18.3479, 17.1512,
17275  15.868, 14.5408, 13.6723, 12.7411, 11.7425, 11.0341, 10.2923,
17276  9.55747, 8.86835, 8.16631, 7.55513, 6.96768, 6.48465, 5.97895,
17277  5.47237, 5.08597, 4.7544, 4.42042, 4.08009, 3.77962, 3.50681,
17278  3.20373, 2.92991, 2.72687, 2.51754, 2.31899, 2.15379, 1.9456,
17279  1.80831, 1.61265, 1.51103, 1.37321, 1.23699, 1.13875, 1.02837,
17280  0.935903, 0.85583, 0.80335, 0.801592, 0.855218, 0.852411, 0.740985,
17281  0.605811, 0.502526, 0.399509, 0.311179, 0.224288, 0.0, 0.0,
17282  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17283  0.0, 0.0, 563.325, 555.012, 546.098, 536.54, 526.291,
17284  515.301, 503.518, 490.882, 477.334, 462.806, 447.229, 430.526,
17285  412.615, 393.411, 372.818, 350.738, 327.061, 301.674, 274.452,
17286  245.263, 213.964, 180.403, 144.417, 105.831, 64.4559, 54.4072,
17287  52.1148, 49.6567, 47.021, 44.1947, 41.1643, 37.9148, 34.4306,
17288  30.6945, 28.1318, 26.6861, 25.136, 23.4738, 21.6915, 19.7804,
17289  18.6657, 17.5206, 16.2928, 14.9763, 13.9636, 12.9029, 11.7654,
17290  10.9643, 10.2042, 9.44371, 8.80012, 8.12426, 7.59013, 7.04224,
17291  6.56948, 6.04634, 5.47617, 5.19691, 4.84128, 4.48263, 4.17226,
17292  3.86092, 3.57402, 3.28629, 3.02721, 2.8009, 2.58513, 2.37342,
17293  2.15212, 1.98601, 1.82601, 1.67699, 1.53054, 1.38381, 1.26071,
17294  1.14038, 1.03367, 0.945474, 0.869295, 0.790684, 0.762334, 0.820734,
17295  0.849031, 0.760156, 0.629142, 0.518068, 0.416372, 0.325054, 0.23426,
17296  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17297  0.0, 0.0, 0.0, 0.0, 572.016, 563.664, 554.709,
17298  545.107, 534.811, 523.771, 511.933, 499.24, 485.629, 471.035,
17299  455.386, 438.606, 420.614, 401.321, 380.634, 358.452, 334.667,
17300  309.163, 281.816, 252.493, 221.05, 187.336, 151.184, 112.421,
17301  70.8558, 55.0086, 52.7866, 50.4039, 47.8491, 45.1096, 42.1722,
17302  39.0224, 35.6451, 32.0237, 29.107, 27.5108, 25.7993, 23.964,
17303  21.9962, 19.8861, 18.5528, 17.3465, 16.0529, 14.6659, 13.6689,
17304  12.724, 11.7108, 10.903, 10.1757, 9.42579, 8.87558, 8.28562,
17305  7.64641, 6.97431, 6.56452, 6.13331, 5.68504, 5.27105, 4.91887,
17306  4.59639, 4.2058, 3.84355, 3.54313, 3.30482, 3.05653, 2.81484,
17307  2.60075, 2.40901, 2.19893, 2.01, 1.84804, 1.69078, 1.53295,
17308  1.40571, 1.27013, 1.17959, 1.06279, 0.952222, 0.867512, 0.796771,
17309  0.754165, 0.760936, 0.818068, 0.779096, 0.66266, 0.53776, 0.426484,
17310  0.341048, 0.250681, 0.0, 0.0, 0.0, 0.0, 0.0,
17311  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 562.687,
17312  554.565, 545.855, 536.516, 526.502, 515.764, 504.251, 491.905,
17313  478.667, 464.472, 449.252, 432.931, 415.432, 396.667, 376.547,
17314  354.972, 331.838, 307.033, 280.435, 251.914, 221.333, 188.542,
17315  153.381, 115.678, 75.2516, 54.1897, 52.0291, 49.7124, 47.2283,
17316  44.5647, 41.7086, 38.646, 35.3622, 31.841, 28.703, 27.2406,
17317  25.6726, 23.9911, 22.1882, 20.255, 18.8649, 17.7162, 16.4845,
17318  15.1638, 14.1359, 13.2353, 12.2697, 11.3836, 10.5667, 9.69079,
17319  9.0415, 8.35428, 7.79712, 7.24767, 6.70123, 6.17661, 5.80235,
17320  5.37342, 4.98123, 4.66982, 4.24378, 3.89377, 3.57431, 3.38501,
17321  3.05703, 2.85206, 2.62057, 2.42771, 2.22127, 2.04953, 1.86786,
17322  1.68338, 1.5598, 1.42006, 1.30521, 1.17605, 1.06554, 0.973127,
17323  0.906762, 0.800648, 0.750476, 0.727834, 0.791967, 0.791008, 0.675153,
17324  0.55601, 0.440044, 0.348765, 0.26572, 0.0, 0.0, 0.0,
17325  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17326  0.0, 575.275, 567.048, 558.227, 548.769, 538.627, 527.752,
17327  516.091, 503.588, 490.181, 475.805, 460.39, 443.861, 426.138,
17328  407.133, 386.756, 364.906, 341.476, 316.354, 289.416, 260.531,
17329  229.559, 196.349, 160.739, 122.555, 81.6116, 54.5868, 52.4575,
17330  50.1743, 47.726, 45.1008, 42.286, 39.2677, 36.0312, 32.5609,
17331  29.1254, 27.5815, 25.9261, 24.151, 22.2476, 20.2067, 18.6605,
17332  17.5741, 16.4092, 15.1601, 14.1265, 13.2993, 12.4122, 11.5575,
17333  10.79, 9.9671, 9.25799, 8.53315, 7.88717, 7.26488, 6.72971,
17334  6.20387, 5.70575, 5.31753, 4.99172, 4.62045, 4.23392, 3.94044,
17335  3.66363, 3.41065, 3.14184, 2.84629, 2.62203, 2.45944, 2.26489,
17336  2.06289, 1.89267, 1.71733, 1.58879, 1.45374, 1.32652, 1.20805,
17337  1.08923, 0.988619, 0.888493, 0.808499, 0.740686, 0.705316, 0.735926,
17338  0.787748, 0.706662, 0.578413, 0.462872, 0.367506, 0.273859, 0.193032,
17339  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17340  0.0, 0.0, 0.0, 557.467, 549.616, 541.199, 532.173,
17341  522.494, 512.117, 500.989, 489.057, 476.263, 462.544, 447.834,
17342  432.061, 415.148, 397.012, 377.566, 356.715, 334.357, 310.383,
17343  284.677, 257.113, 227.557, 195.865, 161.882, 125.444, 86.3728,
17344  55.0981, 52.9537, 50.6543, 48.1888, 45.545, 42.7102, 39.6706,
17345  36.4112, 32.9164, 29.1689, 27.703, 26.167, 24.5199, 22.7539,
17346  20.8602, 19.2125, 18.0332, 16.7686, 15.4126, 14.2117, 13.3252,
17347  12.3747, 11.4386, 10.672, 9.85003, 9.15179, 8.48438, 7.8532,
17348  7.25587, 6.79394, 6.40479, 5.81408, 5.37466, 5.12082, 4.74031,
17349  4.30542, 4.0041, 3.72291, 3.45785, 3.19267, 2.87167, 2.69459,
17350  2.46798, 2.29841, 2.11255, 1.91014, 1.7542, 1.6203, 1.47918,
17351  1.33061, 1.21681, 1.10052, 1.00016, 0.903959, 0.80963, 0.746223,
17352  0.69487, 0.696018, 0.763261, 0.727098, 0.595318, 0.476824, 0.380307,
17353  0.287512, 0.205353, 0.0, 0.0, 0.0, 0.0, 0.0,
17354  0.0, 0.0, 0.0, 0.0, 0.0, 568.762, 560.831,
17355  552.328, 543.21, 533.433, 522.95, 511.709, 499.655, 486.731,
17356  472.872, 458.012, 442.078, 424.993, 406.673, 387.029, 365.965,
17357  343.379, 319.161, 293.193, 265.348, 235.491, 203.476, 169.148,
17358  132.338, 92.8688, 55.7868, 53.6595, 51.3784, 48.9325, 46.3098,
17359  43.4976, 40.4821, 37.2488, 33.7817, 30.0641, 28.1787, 26.5313,
17360  24.7649, 22.8709, 20.8399, 19.0103, 18.0254, 16.9694, 15.8371,
17361  14.7153, 13.7823, 12.7819, 11.7401, 10.8318, 9.85777, 9.14799,
17362  8.65204, 8.11028, 7.51326, 6.95238, 6.43246, 5.96802, 5.51419,
17363  5.07787, 4.71867, 4.34556, 4.04585, 3.75087, 3.47907, 3.19768,
17364  2.92729, 2.70721, 2.48015, 2.29693, 2.12767, 1.95083, 1.79513,
17365  1.61742, 1.49526, 1.34026, 1.2373, 1.13077, 1.02607, 0.914199,
17366  0.822923, 0.75378, 0.67992, 0.677191, 0.729364, 0.737203, 0.614757,
17367  0.492369, 0.39912, 0.302989, 0.215711, 0.0, 0.0, 0.0,
17368  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17369  569.352, 561.506, 553.092, 544.07, 534.396, 524.024, 512.901,
17370  500.975, 488.187, 474.475, 459.772, 444.006, 427.101, 408.974,
17371  389.537, 368.696, 346.348, 322.386, 296.692, 269.141, 239.599,
17372  207.921, 173.955, 137.534, 98.4814, 56.6063, 54.1437, 51.7724,
17373  49.2297, 46.5033, 43.5798, 40.4451, 37.0838, 33.4796, 29.615,
17374  27.5018, 26.0493, 24.4919, 22.8219, 21.0312, 19.2402, 18.1593,
17375  17.0003, 15.7575, 14.5017, 13.6908, 12.8213, 11.889, 11.0339,
17376  10.1171, 9.32274, 8.72559, 8.12886, 7.61846, 7.0791, 6.51476,
17377  6.02571, 5.56975, 5.14925, 4.77513, 4.4251, 4.07295, 3.75671,
17378  3.48741, 3.20316, 2.9189, 2.79504, 2.51735, 2.32298, 2.13328,
17379  1.9803, 1.79403, 1.64883, 1.50359, 1.3734, 1.25938, 1.14353,
17380  1.05106, 0.932743, 0.848922, 0.758069, 0.687745, 0.652504, 0.687512,
17381  0.736855, 0.639515, 0.515951, 0.403237, 0.313972, 0.226088, 0.0,
17382  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17383  0.0, 0.0, 580.303, 572.373, 563.87, 554.753, 544.977,
17384  534.495, 523.255, 511.202, 498.279, 484.422, 469.563, 453.631,
17385  436.547, 418.229, 398.587, 377.525, 354.941, 330.725, 304.759,
17386  276.917, 247.063, 215.051, 180.725, 143.92, 104.454, 62.1359,
17387  54.2736, 52.0023, 49.5669, 46.9554, 44.1552, 41.1527, 37.9332,
17388  34.481, 30.7793, 28.3383, 26.8196, 25.1912, 23.4451, 21.5728,
17389  19.5718, 18.4666, 17.2816, 16.0109, 14.6484, 13.7149, 12.7148,
17390  11.6424, 10.9181, 10.2074, 9.49974, 8.87037, 8.21847, 7.68203,
17391  7.12248, 6.57413, 6.08792, 5.64301, 5.12916, 4.76748, 4.47989,
17392  4.1609, 3.78608, 3.49162, 3.24695, 3.0189, 2.79598, 2.53132,
17393  2.36922, 2.15148, 1.95841, 1.81271, 1.68331, 1.53327, 1.40126,
17394  1.27956, 1.15348, 1.04274, 0.953855, 0.855806, 0.763676, 0.709998,
17395  0.637753, 0.661447, 0.719736, 0.662415, 0.534824, 0.422863, 0.330774,
17396  0.236279, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17397  0.0, 0.0, 0.0, 0.0, 568.299, 560.643, 552.433,
17398  543.629, 534.19, 524.068, 513.215, 501.577, 489.098, 475.718,
17399  461.371, 445.987, 429.491, 411.803, 392.836, 372.499, 350.693,
17400  327.31, 302.238, 275.353, 246.526, 215.616, 182.472, 146.932,
17401  108.824, 67.9626, 55.0146, 52.7352, 50.2911, 47.6704, 44.8603,
17402  41.847, 38.6161, 35.1516, 31.4368, 28.6463, 27.0997, 25.4413,
17403  23.6631, 21.7563, 19.7118, 18.5405, 17.4328, 16.245, 14.9714,
17404  13.9768, 12.9682, 11.8867, 11.0449, 10.2575, 9.45884, 8.82639,
17405  8.14823, 7.63826, 7.10225, 6.61502, 6.0876, 5.51554, 5.21068,
17406  4.83759, 4.43904, 4.11031, 3.80606, 3.52866, 3.26608, 3.03568,
17407  2.80274, 2.62761, 2.413, 2.17348, 2.01781, 1.83341, 1.70383,
17408  1.53748, 1.4074, 1.27869, 1.17139, 1.06224, 0.958382, 0.868401,
17409  0.782914, 0.702448, 0.645902, 0.625078, 0.680851, 0.686485, 0.560942,
17410  0.438775, 0.34501, 0.256296, 0.0, 0.0, 0.0, 0.0,
17411  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 582.613,
17412  574.806, 566.434, 557.458, 547.833, 537.512, 526.445, 514.579,
17413  501.855, 488.212, 473.582, 457.896, 441.076, 423.04, 403.701,
17414  382.964, 360.729, 336.887, 311.322, 283.909, 254.515, 222.997,
17415  189.202, 152.964, 114.107, 72.4421, 53.9493, 51.7926, 49.4802,
17416  47.0006, 44.3418, 41.4909, 38.4339, 35.156, 31.6413, 28.6916,
17417  27.2315, 25.6658, 23.9871, 22.187, 20.2568, 18.8945, 17.6793,
17418  16.3763, 14.9792, 13.9393, 12.9901, 11.9724, 11.1584, 10.4675,
17419  9.72882, 8.98485, 8.18712, 7.70408, 7.2438, 6.7237, 6.20529,
17420  5.74004, 5.30836, 4.91447, 4.55911, 4.19931, 3.91583, 3.61088,
17421  3.31712, 3.01439, 2.81403, 2.60069, 2.38989, 2.18311, 2.0468,
17422  1.86811, 1.69988, 1.56731, 1.42731, 1.31653, 1.17811, 1.08721,
17423  0.963837, 0.88152, 0.794001, 0.723424, 0.646844, 0.609754, 0.649664,
17424  0.685142, 0.570281, 0.457887, 0.354373, 0.266574, 0.0, 0.0,
17425  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17426  0.0, 570.107, 562.57, 554.489, 545.824, 536.533, 526.57,
17427  515.887, 504.432, 492.15, 478.979, 464.857, 449.715, 433.478,
17428  416.067, 397.399, 377.381, 355.917, 332.901, 308.223, 281.761,
17429  253.386, 222.961, 190.337, 155.356, 117.846, 77.6263, 54.5088,
17430  52.3163, 49.9654, 47.4446, 44.7416, 41.8433, 38.7355, 35.4031,
17431  31.8299, 28.5254, 27.092, 25.555, 23.9069, 22.1398, 20.2449,
17432  18.8305, 17.7027, 16.4935, 15.1969, 14.1488, 13.248, 12.2821,
17433  11.4065, 10.6433, 9.82496, 9.19633, 8.54503, 7.87864, 7.17555,
17434  6.70319, 6.25041, 5.7828, 5.34226, 4.93227, 4.5636, 4.18247,
17435  3.94934, 3.68907, 3.34008, 3.10889, 2.8453, 2.64878, 2.41013,
17436  2.22843, 2.06335, 1.86787, 1.73547, 1.59011, 1.43454, 1.32958,
17437  1.21389, 1.11117, 0.981213, 0.904664, 0.806259, 0.722263, 0.656359,
17438  0.609838, 0.616478, 0.679086, 0.595666, 0.477347, 0.364944, 0.282539,
17439  0.191283, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17440  0.0, 0.0, 0.0, 586.52, 578.825, 570.574, 561.727,
17441  552.24, 542.068, 531.161, 519.465, 506.925, 493.477, 479.059,
17442  463.598, 447.02, 429.243, 410.183, 389.744, 367.829, 344.33,
17443  319.132, 292.114, 263.143, 232.079, 198.769, 163.053, 124.755,
17444  83.6897, 54.8024, 52.6316, 50.304, 47.8082, 45.132, 42.2625,
17445  39.1855, 35.8862, 32.3485, 28.7595, 27.3557, 25.8505, 24.2365,
17446  22.5059, 20.6502, 19.1205, 17.9643, 16.7245, 15.3951, 14.2364,
17447  13.2838, 12.2623, 11.3303, 10.6322, 9.88358, 9.20061, 8.50064,
17448  7.88998, 7.32509, 6.77465, 6.21647, 5.79228, 5.40607, 5.03867,
17449  4.61436, 4.30143, 3.9613, 3.71237, 3.40344, 3.12137, 2.86285,
17450  2.63839, 2.48423, 2.25424, 2.08503, 1.91558, 1.7472, 1.59639,
17451  1.4713, 1.35272, 1.21686, 1.1005, 1.01818, 0.908555, 0.815032,
17452  0.733169, 0.657755, 0.610955, 0.592456, 0.65783, 0.613098, 0.488405,
17453  0.375118, 0.288891, 0.191655, 0.0, 0.0, 0.0, 0.0,
17454  0.0, 0.0, 0.0, 0.0, 0.0, 580.468, 572.947,
17455  564.882, 556.234, 546.962, 537.019, 526.358, 514.927, 502.669,
17456  489.525, 475.432, 460.32, 444.116, 426.741, 408.111, 388.134,
17457  366.713, 343.745, 319.116, 292.708, 264.391, 234.028, 201.471,
17458  166.56, 129.127, 88.9889, 55.5439, 53.3354, 50.9672, 48.4279,
17459  45.7051, 42.7855, 39.6549, 36.2981, 32.6987, 28.8391, 27.2932,
17460  25.7619, 24.12, 22.3593, 20.4715, 18.8353, 17.7611, 16.6093,
17461  15.3743, 14.2528, 13.4181, 12.5231, 11.6079, 10.7767, 9.88538,
17462  9.15006, 8.47482, 7.87576, 7.36679, 6.81637, 6.223, 5.84521,
17463  5.44156, 4.99622, 4.62616, 4.36055, 4.00213, 3.68641, 3.41155,
17464  3.14615, 2.92499, 2.70107, 2.47023, 2.28384, 2.09713, 1.92586,
17465  1.79105, 1.63684, 1.48617, 1.36173, 1.24024, 1.11949, 1.0222,
17466  0.911239, 0.837129, 0.752585, 0.669117, 0.598974, 0.574532, 0.62683,
17467  0.630849, 0.512557, 0.390761, 0.301965, 0.213203, 0.0, 0.0,
17468  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17469  589.911, 582.328, 574.196, 565.478, 556.128, 546.104, 535.355,
17470  523.829, 511.47, 498.217, 484.008, 468.771, 452.433, 434.915,
17471  416.13, 395.988, 374.391, 351.232, 326.4, 299.774, 271.223,
17472  240.609, 207.782, 172.584, 134.841, 94.3713, 55.4393, 53.3096,
17473  51.0259, 48.5773, 45.9516, 43.1362, 40.1174, 36.8804, 33.4095,
17474  29.6877, 27.8548, 26.3421, 24.72, 22.9807, 21.1157, 19.3557,
17475  18.2218, 17.0059, 15.7022, 14.4506, 13.5888, 12.6646, 11.7045,
17476  10.9293, 10.0982, 9.33991, 8.64171, 7.96974, 7.38505, 6.88184,
17477  6.48093, 6.01289, 5.54794, 5.15203, 4.76818, 4.40951, 4.0785,
17478  3.75081, 3.45774, 3.15935, 2.93552, 2.73227, 2.4876, 2.32553,
17479  2.07265, 1.95592, 1.78661, 1.65133, 1.49359, 1.3978, 1.2611,
17480  1.14513, 1.03339, 0.928908, 0.832877, 0.762978, 0.679958, 0.603808,
17481  0.562926, 0.594555, 0.638754, 0.528928, 0.407633, 0.310612, 0.226337,
17482  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17483  0.0, 0.0, 579.992, 572.63, 564.736, 556.271, 547.194,
17484  537.462, 527.026, 515.836, 503.837, 490.971, 477.176, 462.383,
17485  446.522, 429.514, 411.277, 391.722, 370.754, 348.27, 324.162,
17486  298.312, 270.593, 240.871, 209.002, 174.829, 138.187, 98.8961,
17487  56.7663, 53.8996, 51.6214, 49.1785, 46.559, 43.7503, 40.7385,
17488  37.5091, 34.0464, 30.3334, 28.1901, 26.672, 25.0443, 23.2989,
17489  21.4273, 19.5447, 18.4206, 17.2153, 15.9229, 14.6007, 13.677,
17490  12.6865, 11.6244, 10.9107, 10.1502, 9.42861, 8.78743, 8.14105,
17491  7.57805, 7.02763, 6.53638, 6.04042, 5.55356, 5.1622, 4.76975,
17492  4.39464, 4.07295, 3.8272, 3.5422, 3.22617, 2.96902, 2.76298,
17493  2.52787, 2.33672, 2.09666, 1.96899, 1.81233, 1.6418, 1.5206,
17494  1.3947, 1.26739, 1.16907, 1.05052, 0.94226, 0.874913, 0.773712,
17495  0.685148, 0.620347, 0.556203, 0.562561, 0.619174, 0.552859, 0.42304,
17496  0.330215, 0.23762, 0.0, 0.0, 0.0, 0.0, 0.0,
17497  0.0, 0.0, 0.0, 0.0, 587.207, 579.808, 571.874,
17498  563.367, 554.245, 544.464, 533.976, 522.731, 510.672, 497.742,
17499  483.877, 469.011, 453.07, 435.978, 417.65, 397.997, 376.924,
17500  354.329, 330.1, 304.121, 276.264, 246.394, 214.365, 180.022,
17501  143.196, 103.71, 61.3699, 53.4658, 51.2605, 48.8959, 46.3604,
17502  43.6417, 40.7265, 37.6006, 34.2489, 30.6549, 28.2545, 26.7346,
17503  25.1049, 23.3574, 21.4836, 19.479, 18.4146, 17.2732, 16.0493,
17504  14.737, 13.8742, 12.951, 11.961, 11.0553, 10.1087, 9.27122,
17505  8.79959, 8.28572, 7.67593, 7.05911, 6.52141, 6.04797, 5.62419,
17506  5.20531, 4.86095, 4.46842, 4.05079, 3.76028, 3.50756, 3.26855,
17507  3.0321, 2.71726, 2.57032, 2.34601, 2.17918, 1.97137, 1.82264,
17508  1.67815, 1.56159, 1.43233, 1.28482, 1.16505, 1.06802, 0.954185,
17509  0.869821, 0.783363, 0.696792, 0.630095, 0.556587, 0.541075, 0.60705,
17510  0.564211, 0.44343, 0.339046, 0.245576, 0.0, 0.0, 0.0,
17511  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 586.342,
17512  579.023, 571.175, 562.759, 553.735, 544.06, 533.685, 522.56,
17513  510.631, 497.84, 484.125, 469.419, 453.65, 436.741, 418.61,
17514  399.169, 378.324, 355.971, 332.004, 306.304, 278.747, 249.199,
17515  217.515, 183.541, 147.113, 108.051, 66.1672, 53.3615, 51.2588,
17516  49.0041, 46.5865, 43.9941, 41.2144, 38.2338, 35.0378, 31.6109,
17517  28.98, 27.3876, 25.6801, 23.8493, 21.8861, 19.7811, 18.5445,
17518  17.3568, 16.0833, 14.7178, 13.7425, 12.7681, 11.7233, 10.9869,
17519  10.3314, 9.64262, 8.97036, 8.25063, 7.69587, 7.11991, 6.65043,
17520  6.16879, 5.68011, 5.24044, 4.85911, 4.50468, 4.123, 3.77158,
17521  3.54956, 3.28263, 3.04151, 2.80895, 2.57384, 2.40097, 2.20613,
17522  2.01613, 1.84514, 1.68324, 1.53742, 1.41253, 1.2906, 1.18709,
17523  1.08192, 0.978023, 0.879191, 0.812042, 0.707769, 0.635459, 0.560125,
17524  0.53077, 0.578485, 0.585909, 0.46396, 0.35112, 0.256273, 0.0,
17525  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17526  0.0, 590.518, 583.203, 575.36, 566.949, 557.931, 548.261,
17527  537.893, 526.775, 514.853, 502.07, 488.363, 473.666, 457.907,
17528  441.008, 422.889, 403.46, 382.627, 360.288, 336.335, 310.651,
17529  283.111, 253.581, 221.916, 187.964, 151.557, 112.52, 70.6613,
17530  52.8473, 50.7937, 48.5918, 46.2307, 43.699, 40.9843, 38.0734,
17531  34.9522, 31.6054, 28.7775, 27.2149, 25.5394, 23.7428, 21.8163,
17532  19.7507, 18.4657, 17.3834, 16.2228, 14.9783, 13.9848, 13.0325,
17533  12.0115, 11.1596, 10.3947, 9.59073, 8.98136, 8.32795, 7.76173,
17534  7.17245, 6.64539, 6.11875, 5.63478, 5.29588, 4.9276, 4.52593,
17535  4.22017, 3.87635, 3.56979, 3.32788, 3.07311, 2.8277, 2.6014,
17536  2.4218, 2.19822, 2.00327, 1.86489, 1.71628, 1.56949, 1.43075,
17537  1.31852, 1.19363, 1.08608, 0.99913, 0.885797, 0.804946, 0.725895,
17538  0.640396, 0.578773, 0.524303, 0.552792, 0.588402, 0.47971, 0.370331,
17539  0.269877, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17540  0.0, 0.0, 0.0, 579.883, 572.801, 565.208, 557.066,
17541  548.335, 538.974, 528.936, 518.172, 506.631, 494.256, 480.987,
17542  466.758, 451.501, 435.142, 417.6, 398.791, 378.623, 356.997,
17543  333.808, 308.943, 282.282, 253.693, 223.039, 190.169, 154.924,
17544  117.132, 76.6088, 54.3931, 52.2267, 49.9037, 47.4129, 44.742,
17545  41.8782, 38.8073, 35.5146, 31.9838, 28.7686, 27.289, 25.7025,
17546  24.0014, 22.1773, 20.2214, 18.7901, 17.6312, 16.3885, 15.0561,
17547  13.9498, 12.9519, 11.8819, 11.0303, 10.4105, 9.7459, 9.14644,
17548  8.51057, 7.91404, 7.30104, 6.69881, 6.10961, 5.66655, 5.32541,
17549  4.96496, 4.51578, 4.22607, 3.95091, 3.59337, 3.34928, 3.10838,
17550  2.84075, 2.65138, 2.42301, 2.23546, 2.04525, 1.8849, 1.74496,
17551  1.59851, 1.45837, 1.32029, 1.21259, 1.11095, 0.991108, 0.910489,
17552  0.82554, 0.739189, 0.657493, 0.58375, 0.523373, 0.527938, 0.579535,
17553  0.496241, 0.383923, 0.282515, 0.192948, 0.0, 0.0, 0.0,
17554  0.0, 0.0, 0.0, 0.0, 0.0, 581.417, 574.397,
17555  566.868, 558.796, 550.14, 540.859, 530.908, 520.236, 508.794,
17556  496.525, 483.369, 469.263, 454.137, 437.918, 420.527, 401.879,
17557  381.883, 360.443, 337.453, 312.801, 286.368, 258.025, 227.634,
17558  195.046, 160.103, 122.635, 82.4592, 55.5708, 53.31, 50.8859,
17559  48.2865, 45.4993, 42.5107, 39.3061, 35.8699, 32.1854, 28.5499,
17560  27.1902, 25.7322, 24.1689, 22.4926, 20.6951, 19.2191, 18.0505,
17561  16.7974, 15.4537, 14.2936, 13.3155, 12.2667, 11.3301, 10.6252,
17562  9.86949, 9.20923, 8.53368, 7.93545, 7.36389, 6.79838, 6.22179,
17563  5.74827, 5.35864, 5.03272, 4.715, 4.30569, 3.97667, 3.62199,
17564  3.38258, 3.12607, 2.91464, 2.67572, 2.42852, 2.27839, 2.06049,
17565  1.90594, 1.75537, 1.60401, 1.48243, 1.34097, 1.21299, 1.11497,
17566  1.02543, 0.931363, 0.821707, 0.749202, 0.670812, 0.590367, 0.529897,
17567  0.503926, 0.580304, 0.52089, 0.395344, 0.295729, 0.20297, 0.0,
17568  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17569  581.116, 574.142, 566.664, 558.646, 550.048, 540.829, 530.943,
17570  520.343, 508.977, 496.79, 483.721, 469.709, 454.684, 438.573,
17571  421.297, 402.774, 382.911, 361.613, 338.777, 314.289, 288.032,
17572  259.878, 229.689, 197.318, 162.608, 125.389, 85.4811, 54.0409,
17573  51.9596, 49.7279, 47.3348, 44.7689, 42.0175, 39.0673, 35.9039,
17574  32.5118, 28.8747, 27.4478, 25.9227, 24.2873, 22.5338, 20.6535,
17575  19.0622, 17.9777, 16.8147, 15.5677, 14.3982, 13.3978, 12.325,
17576  11.3128, 10.5989, 9.83341, 9.16283, 8.50688, 7.85532, 7.20319,
17577  6.6676, 6.18586, 5.81337, 5.40622, 4.98259, 4.70166, 4.29644,
17578  4.05875, 3.76192, 3.39668, 3.1563, 2.92292, 2.68669, 2.45645,
17579  2.27054, 2.10572, 1.9124, 1.79434, 1.61078, 1.48709, 1.35711,
17580  1.23539, 1.13101, 1.02623, 0.930955, 0.835925, 0.752229, 0.672324,
17581  0.592178, 0.52723, 0.495894, 0.539841, 0.540915, 0.409662, 0.308899,
17582  0.213993, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17583  0.0, 0.0, 586.835, 579.881, 572.423, 564.427, 555.853,
17584  546.659, 536.801, 526.23, 514.896, 502.742, 489.711, 475.737,
17585  460.753, 444.687, 427.46, 408.987, 389.18, 367.941, 345.168,
17586  320.749, 294.565, 266.488, 236.383, 204.102, 169.488, 132.373,
17587  92.5755, 56.4191, 54.1565, 51.7305, 49.1291, 46.3398, 43.3489,
17588  40.1418, 36.703, 33.0156, 29.0618, 27.3217, 25.7984, 24.165,
17589  22.4135, 20.5354, 18.8536, 17.8543, 16.7827, 15.6337, 14.5204,
17590  13.6252, 12.6652, 11.6727, 10.8043, 9.87315, 9.18215, 8.65658,
17591  8.08308, 7.45394, 6.93697, 6.5263, 5.99981, 5.51074, 5.14451,
17592  4.71786, 4.41394, 4.04286, 3.75982, 3.42617, 3.16178, 2.94638,
17593  2.6978, 2.4916, 2.2858, 2.10114, 1.97407, 1.78612, 1.63351,
17594  1.50575, 1.37194, 1.26528, 1.14446, 1.05274, 0.946132, 0.849049,
17595  0.770224, 0.676352, 0.619919, 0.544671, 0.483721, 0.513441, 0.541241,
17596  0.427356, 0.315353, 0.226343, 0.0, 0.0, 0.0, 0.0,
17597  0.0, 0.0, 0.0, 0.0, 584.734, 577.863, 570.496,
17598  562.597, 554.126, 545.044, 535.305, 524.862, 513.664, 501.658,
17599  488.783, 474.979, 460.176, 444.304, 427.285, 409.036, 389.468,
17600  368.486, 345.988, 321.864, 295.996, 268.259, 238.518, 206.627,
17601  172.432, 135.765, 96.4486, 56.038, 53.8922, 51.5914, 49.1243,
17602  46.4789, 43.6424, 40.6008, 37.3395, 33.8424, 30.0927, 28.1048,
17603  26.6047, 24.9963, 23.2716, 21.4223, 19.6137, 18.4674, 17.2383,
17604  15.9203, 14.606, 13.6706, 12.6676, 11.614, 10.9232, 10.1825,
17605  9.4516, 8.73827, 8.0498, 7.49055, 6.96199, 6.49778, 5.98698,
17606  5.48289, 5.08805, 4.73976, 4.43482, 4.08571, 3.77894, 3.50401,
17607  3.18708, 2.99743, 2.73651, 2.51626, 2.34653, 2.12003, 1.96198,
17608  1.80625, 1.65411, 1.50297, 1.38805, 1.26973, 1.15349, 1.04663,
17609  0.9465, 0.851861, 0.777822, 0.704268, 0.618614, 0.545657, 0.488003,
17610  0.494029, 0.554936, 0.438508, 0.331552, 0.240968, 0.0, 0.0,
17611  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 587.675,
17612  580.817, 573.463, 565.577, 557.122, 548.055, 538.334, 527.91,
17613  516.732, 504.747, 491.895, 478.115, 463.339, 447.495, 430.507,
17614  412.29, 392.757, 371.812, 349.354, 325.273, 299.452, 271.764,
17615  242.076, 210.242, 176.107, 139.506, 100.26, 58.177, 53.1902,
17616  51.0139, 48.6803, 46.1781, 43.4951, 40.6182, 37.5333, 34.2256,
17617  30.6788, 28.4216, 26.8401, 25.1442, 23.3258, 21.376, 19.3671,
17618  18.2961, 17.1478, 15.9164, 14.6259, 13.689, 12.6845, 11.6074,
17619  10.873, 10.1153, 9.39569, 8.78824, 8.15899, 7.57956, 7.00209,
17620  6.48634, 5.98091, 5.49165, 5.12051, 4.79771, 4.42701, 4.05673,
17621  3.76244, 3.48801, 3.25626, 2.97563, 2.76299, 2.52056, 2.37156,
17622  2.17001, 1.98475, 1.8185, 1.66386, 1.55349, 1.41608, 1.30812,
17623  1.16546, 1.06103, 0.968477, 0.862031, 0.784127, 0.706698, 0.627185,
17624  0.564678, 0.503415, 0.479565, 0.549429, 0.458625, 0.340715, 0.252727,
17625  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17626  0.0, 592.212, 585.361, 578.015, 570.137, 561.691, 552.634,
17627  542.922, 532.509, 521.343, 509.37, 496.532, 482.766, 468.005,
17628  452.178, 435.207, 417.009, 397.496, 376.573, 354.138, 330.082,
17629  304.287, 276.628, 246.971, 215.17, 181.07, 144.507, 105.301,
17630  63.2623, 53.5553, 51.3458, 48.9767, 46.4364, 43.7125, 40.7918,
17631  37.66, 34.3018, 30.701, 28.207, 26.7185, 25.1226, 23.4112,
17632  21.5762, 19.6086, 18.4664, 17.2828, 16.0137, 14.6529, 13.7822,
17633  12.8789, 11.9103, 11.1377, 10.3681, 9.5756, 8.82335, 8.03938,
17634  7.46259, 6.89283, 6.49297, 6.09645, 5.69911, 5.1913, 4.78838,
17635  4.4603, 4.15873, 3.87249, 3.59481, 3.22642, 2.98071, 2.78526,
17636  2.55302, 2.3785, 2.181, 1.9907, 1.82456, 1.68233, 1.52393,
17637  1.42728, 1.29705, 1.17935, 1.09888, 0.980894, 0.900828, 0.793897,
17638  0.714979, 0.64623, 0.572242, 0.499918, 0.470772, 0.525246, 0.482762,
17639  0.357276, 0.258958, 0.0, 0.0, 0.0, 0.0, 0.0,
17640  0.0, 0.0, 0.0, 593.937, 587.141, 579.854, 572.04,
17641  563.662, 554.678, 545.045, 534.716, 523.641, 511.765, 499.031,
17642  485.376, 470.735, 455.036, 438.202, 420.151, 400.797, 380.043,
17643  357.79, 333.928, 308.342, 280.907, 251.489, 219.946, 186.123,
17644  149.855, 110.967, 69.268, 54.9146, 52.6162, 50.1517, 47.509,
17645  44.6754, 41.637, 38.379, 34.8856, 31.1397, 28.2865, 26.804,
17646  25.2144, 23.5098, 21.6821, 19.7223, 18.4829, 17.3121, 16.0567,
17647  14.7106, 13.7445, 12.8017, 11.7907, 11.037, 10.3664, 9.66733,
17648  9.03776, 8.36269, 7.7231, 7.05284, 6.48403, 5.98792, 5.62332,
17649  5.30382, 4.95692, 4.56847, 4.16493, 3.86167, 3.53995, 3.2449,
17650  3.02776, 2.80544, 2.5893, 2.3725, 2.15733, 2.01655, 1.86522,
17651  1.70663, 1.55474, 1.4463, 1.32004, 1.1791, 1.08474, 0.992785,
17652  0.89538, 0.814757, 0.734401, 0.654248, 0.575394, 0.505353, 0.449636,
17653  0.506934, 0.492931, 0.37483, 0.270787, 0.0, 0.0, 0.0,
17654  0.0, 0.0, 0.0, 0.0, 0.0, 583.945, 577.339,
17655  570.255, 562.66, 554.515, 545.783, 536.419, 526.378, 515.612,
17656  504.067, 491.689, 478.416, 464.183, 448.922, 432.559, 415.012,
17657  396.198, 376.024, 354.392, 331.197, 306.325, 279.656, 251.06,
17658  220.398, 187.519, 152.264, 114.462, 73.9275, 55.4629, 53.2278,
17659  50.8313, 48.2615, 45.506, 42.5514, 39.3833, 35.9862, 32.3437,
17660  29.2415, 27.6602, 25.9646, 24.1464, 22.1969, 20.1065, 18.7536,
17661  17.6277, 16.4204, 15.1258, 14.0646, 13.0512, 11.9645, 11.1051,
17662  10.3924, 9.63469, 9.00275, 8.32514, 7.71618, 7.08299, 6.64639,
17663  6.19024, 5.71222, 5.341, 4.94079, 4.4974, 4.14978, 3.92115,
17664  3.65005, 3.33875, 3.09658, 2.83462, 2.60062, 2.37951, 2.22345,
17665  2.03877, 1.88499, 1.73084, 1.58279, 1.44734, 1.32592, 1.20037,
17666  1.10749, 0.984336, 0.906928, 0.817512, 0.741151, 0.662963, 0.58754,
17667  0.518497, 0.46314, 0.479272, 0.510995, 0.392633, 0.279163, 0.0,
17668  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17669  601.456, 594.685, 587.425, 579.641, 571.294, 562.343, 552.746,
17670  542.455, 531.421, 519.589, 506.902, 493.298, 478.712, 463.07,
17671  446.299, 428.316, 409.033, 388.356, 366.186, 342.413, 316.922,
17672  289.589, 260.28, 228.854, 195.156, 159.023, 120.279, 78.7355,
17673  55.2128, 52.9699, 50.5649, 47.9862, 45.221, 42.2561, 39.0769,
17674  35.6679, 32.0126, 28.6362, 27.086, 25.4238, 23.6415, 21.7303,
17675  19.6811, 18.296, 17.3047, 16.2419, 15.1023, 14.1238, 13.2278,
17676  12.267, 11.3846, 10.5953, 9.74906, 9.09986, 8.42481, 7.87445,
17677  7.34388, 6.77249, 6.19567, 5.73352, 5.3438, 4.96961, 4.56189,
17678  4.12609, 3.89906, 3.56156, 3.34944, 3.09568, 2.87681, 2.62441,
17679  2.4162, 2.21716, 2.04423, 1.90538, 1.73183, 1.56718, 1.45894,
17680  1.34604, 1.21499, 1.12407, 1.00297, 0.928049, 0.840549, 0.757452,
17681  0.672303, 0.594296, 0.526943, 0.464189, 0.45737, 0.511005, 0.40099,
17682  0.28928, 0.196176, 0.0, 0.0, 0.0, 0.0, 0.0,
17683  0.0, 0.0, 581.834, 575.371, 568.442, 561.011, 553.044,
17684  544.5, 535.34, 525.517, 514.984, 503.691, 491.581, 478.596,
17685  464.672, 449.743, 433.734, 416.568, 398.162, 378.426, 357.264,
17686  334.572, 310.24, 284.15, 256.175, 226.178, 194.013, 159.523,
17687  122.541, 82.8868, 55.9729, 53.6993, 51.2614, 48.6473, 45.8443,
17688  42.8388, 39.616, 36.1603, 32.4549, 28.7694, 27.3503, 25.8286,
17689  24.1969, 22.4474, 20.5714, 19.0413, 17.858, 16.5891, 15.2286,
17690  14.1352, 13.3214, 12.4487, 11.5804, 10.7609, 9.88219, 9.17058,
17691  8.46049, 7.87193, 7.3404, 6.81263, 6.27312, 5.82936, 5.40885,
17692  5.00053, 4.57265, 4.24973, 3.90687, 3.66454, 3.33476, 3.11512,
17693  2.85249, 2.66061, 2.44672, 2.25994, 2.07929, 1.89298, 1.75565,
17694  1.62516, 1.4521, 1.37917, 1.21465, 1.11511, 1.02564, 0.936213,
17695  0.851835, 0.759094, 0.67576, 0.60368, 0.533054, 0.468462, 0.431964,
17696  0.508251, 0.418263, 0.308502, 0.211933, 0.0, 0.0, 0.0,
17697  0.0, 0.0, 0.0, 0.0, 586.781, 580.302, 573.355,
17698  565.906, 557.919, 549.355, 540.171, 530.324, 519.766, 508.444,
17699  496.304, 483.287, 469.329, 454.362, 438.314, 421.106, 402.655,
17700  382.87, 361.655, 338.907, 314.516, 288.361, 260.317, 230.245,
17701  198.001, 163.426, 126.353, 86.6002, 55.2244, 52.9969, 50.6085,
17702  48.0475, 45.3014, 42.3568, 39.1994, 35.8139, 32.1837, 28.2912,
17703  26.9684, 25.557, 24.0436, 22.4209, 20.6809, 19.1399, 17.9636,
17704  16.7024, 15.3499, 14.1636, 13.2914, 12.3562, 11.421, 10.6007,
17705  9.72103, 9.05282, 8.45209, 7.86033, 7.27298, 6.78515, 6.34253,
17706  5.87678, 5.44357, 5.04812, 4.59688, 4.31041, 4.05217, 3.74199,
17707  3.43007, 3.1756, 2.89667, 2.66329, 2.48547, 2.27793, 2.06632,
17708  1.91982, 1.7866, 1.6485, 1.48338, 1.372, 1.26089, 1.13963,
17709  1.02725, 0.936987, 0.854263, 0.774527, 0.686154, 0.611535, 0.533742,
17710  0.472504, 0.436275, 0.497161, 0.429652, 0.316713, 0.220237, 0.0,
17711  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 600.357,
17712  593.776, 586.72, 579.153, 571.04, 562.34, 553.012, 543.01,
17713  532.284, 520.784, 508.453, 495.23, 481.052, 465.849, 449.548,
17714  432.068, 413.326, 393.228, 371.679, 348.572, 323.795, 297.228,
17715  268.741, 238.195, 205.442, 170.321, 132.663, 92.2831, 55.9438,
17716  53.7628, 51.4243, 48.9167, 46.2279, 43.3448, 40.2534, 36.9385,
17717  33.3841, 29.5728, 27.8779, 26.3636, 24.7398, 22.9987, 21.1318,
17718  19.3904, 18.1308, 16.7803, 15.3321, 14.0413, 13.2924, 12.4893,
17719  11.6449, 10.8227, 9.94118, 9.25439, 8.69323, 8.08683, 7.43012,
17720  6.87016, 6.39714, 5.85641, 5.38476, 5.07155, 4.66653, 4.30632,
17721  3.99065, 3.68693, 3.42744, 3.15132, 2.9525, 2.77142, 2.48466,
17722  2.31342, 2.09573, 1.9394, 1.77994, 1.62284, 1.52264, 1.35335,
17723  1.28597, 1.14299, 1.03951, 0.958868, 0.855833, 0.773802, 0.697498,
17724  0.621739, 0.556, 0.485004, 0.434337, 0.465195, 0.448247, 0.331812,
17725  0.231052, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17726  0.0, 588.164, 581.788, 574.952, 567.621, 559.761, 551.333,
17727  542.295, 532.605, 522.214, 511.072, 499.125, 486.315, 472.578,
17728  457.85, 442.056, 425.122, 406.963, 387.493, 366.615, 344.229,
17729  320.224, 294.485, 266.886, 237.293, 205.56, 171.535, 135.05,
17730  95.9293, 56.3715, 54.1782, 51.8264, 49.3046, 46.6006, 43.7012,
17731  40.5923, 37.2587, 33.6841, 29.8513, 27.8547, 26.3126, 24.6591,
17732  22.8861, 20.985, 19.1589, 18.0728, 16.9083, 15.6596, 14.4309,
17733  13.589, 12.6863, 11.7314, 10.9007, 10.01, 9.2754, 8.71753,
17734  8.11827, 7.47336, 6.88976, 6.40989, 5.9437, 5.48704, 5.07508,
17735  4.68277, 4.36277, 4.04867, 3.75972, 3.50049, 3.22457, 3.01967,
17736  2.72883, 2.51036, 2.2922, 2.15276, 1.96454, 1.80349, 1.64156,
17737  1.51068, 1.37905, 1.28484, 1.16153, 1.06631, 0.954356, 0.87165,
17738  0.79428, 0.715969, 0.634338, 0.55539, 0.495228, 0.426942, 0.44802,
17739  0.466056, 0.346718, 0.242482, 0.0, 0.0, 0.0, 0.0,
17740  0.0, 0.0, 0.0, 588.254, 581.929, 575.147, 567.876,
17741  560.078, 551.717, 542.752, 533.14, 522.832, 511.78, 499.928,
17742  487.221, 473.595, 458.984, 443.317, 426.519, 408.506, 389.191,
17743  368.481, 346.274, 322.462, 296.929, 269.552, 240.195, 208.717,
17744  174.965, 138.773, 99.9655, 58.3537, 54.2903, 52.0073, 49.5592,
17745  46.9342, 44.1196, 41.1015, 37.8653, 34.3953, 30.6745, 28.4274,
17746  26.8666, 25.1931, 23.3986, 21.4744, 19.5119, 18.386, 17.1787,
17747  15.8841, 14.5489, 13.6809, 12.7503, 11.7524, 10.9794, 10.1634,
17748  9.37592, 8.67128, 7.97877, 7.47123, 6.96856, 6.51742, 6.05027,
17749  5.58152, 5.20039, 4.84787, 4.48318, 4.10885, 3.81674, 3.55286,
17750  3.27857, 3.01799, 2.73326, 2.51879, 2.35785, 2.13611, 1.9902,
17751  1.83704, 1.67575, 1.52892, 1.39524, 1.29938, 1.16827, 1.05793,
17752  0.963069, 0.888093, 0.792286, 0.720622, 0.641235, 0.568269, 0.5038,
17753  0.431609, 0.434625, 0.478793, 0.355031, 0.247231, 0.0, 0.0,
17754  0.0, 0.0, 0.0, 0.0, 0.0, 578.179, 572.021,
17755  565.417, 558.336, 550.744, 542.603, 533.873, 524.513, 514.476,
17756  503.714, 492.174, 479.8, 466.532, 452.305, 437.05, 420.693,
17757  403.153, 384.346, 364.18, 342.557, 319.37, 294.508, 267.85,
17758  239.265, 208.614, 175.748, 140.507, 102.719, 62.2005, 54.0234,
17759  51.7639, 49.3411, 46.7432, 43.9575, 40.9706, 37.7678, 34.3335,
17760  30.6511, 28.1424, 26.5507, 24.8439, 23.0138, 21.0515, 18.9473,
17761  17.9976, 16.9899, 15.9094, 14.7508, 13.8421, 12.8734, 11.8346,
17762  11.019, 10.1965, 9.39569, 8.74344, 8.06912, 7.54939, 7.02652,
17763  6.589, 6.10411, 5.58215, 5.19569, 4.79675, 4.43915, 4.13459,
17764  3.83547, 3.56498, 3.27757, 2.97897, 2.76674, 2.54339, 2.38542,
17765  2.13204, 2.00888, 1.85146, 1.70003, 1.51994, 1.41483, 1.32818,
17766  1.22588, 1.06673, 0.965594, 0.88037, 0.803866, 0.741679, 0.653021,
17767  0.568972, 0.498213, 0.441933, 0.412689, 0.476687, 0.370423, 0.258479,
17768  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17769  610.702, 604.207, 597.243, 589.776, 581.769, 573.184, 563.977,
17770  554.106, 543.521, 532.172, 520.002, 506.953, 492.96, 477.957,
17771  461.869, 444.619, 426.122, 406.288, 385.021, 362.217, 337.765,
17772  311.546, 283.432, 253.286, 220.962, 186.302, 149.137, 109.286,
17773  66.5558, 53.6241, 51.3947, 49.0041, 46.4407, 43.6921, 40.7448,
17774  37.5846, 34.196, 30.5625, 27.8984, 26.4662, 24.9306, 23.284,
17775  21.5184, 19.6252, 18.4232, 17.2416, 15.9746, 14.616, 13.6622,
17776  12.71, 11.6889, 10.922, 10.2115, 9.48556, 8.87053, 8.21255,
17777  7.66417, 7.09805, 6.6556, 6.1574, 5.59343, 5.27242, 4.86528,
17778  4.46558, 4.1871, 3.87831, 3.59766, 3.30058, 3.01533, 2.79715,
17779  2.64849, 2.37386, 2.24743, 2.00473, 1.8796, 1.69575, 1.55163,
17780  1.44039, 1.33021, 1.19312, 1.0771, 0.987404, 0.910967, 0.814048,
17781  0.734283, 0.651854, 0.585649, 0.519318, 0.444254, 0.402565, 0.467154,
17782  0.382523, 0.275607, 0.0, 0.0, 0.0, 0.0, 0.0,
17783  0.0, 0.0, 601.396, 595.067, 588.28, 581.003, 573.2,
17784  564.833, 555.862, 546.242, 535.927, 524.866, 513.006, 500.289,
17785  486.653, 472.032, 456.354, 439.543, 421.517, 402.188, 381.463,
17786  359.239, 335.41, 309.859, 282.461, 253.083, 221.582, 187.805,
17787  151.586, 112.751, 71.1083, 54.1842, 52.0003, 49.6586, 47.1477,
17788  44.4553, 41.5684, 38.4728, 35.1535, 31.5943, 28.6549, 27.0508,
17789  25.3308, 23.4864, 21.5088, 19.3883, 18.1979, 17.2267, 16.1853,
17790  15.0686, 14.056, 13.0248, 11.9191, 11.069, 10.3448, 9.58906,
17791  9.01648, 8.40251, 7.74324, 7.04267, 6.6456, 6.1885, 5.6381,
17792  5.26937, 4.86749, 4.42515, 4.0791, 3.90506, 3.65858, 3.26033,
17793  3.05646, 2.81397, 2.54107, 2.3908, 2.21841, 2.05573, 1.88001,
17794  1.74394, 1.60001, 1.46075, 1.33481, 1.20492, 1.08313, 0.989135,
17795  0.914067, 0.825245, 0.742116, 0.670224, 0.593734, 0.527419, 0.452367,
17796  0.408835, 0.446898, 0.392745, 0.284292, 0.0, 0.0, 0.0,
17797  0.0, 0.0, 0.0, 0.0, 600.539, 594.29, 587.589,
17798  580.403, 572.699, 564.437, 555.579, 546.08, 535.895, 524.974,
17799  513.264, 500.707, 487.243, 472.806, 457.325, 440.726, 422.928,
17800  403.843, 383.378, 361.435, 337.907, 312.677, 285.625, 256.617,
17801  225.514, 192.162, 156.4, 118.054, 76.937, 55.895, 53.5936,
17802  51.126, 48.48, 45.6428, 42.6006, 39.3385, 35.8407, 32.0901,
17803  28.7508, 27.1007, 25.3315, 23.4343, 21.4001, 19.2188, 17.8668,
17804  16.8886, 15.8396, 14.7149, 13.8389, 13.063, 12.231, 11.4151,
17805  10.6053, 9.73702, 9.11067, 8.44508, 7.79639, 7.1171, 6.62049,
17806  6.12831, 5.65857, 5.25413, 4.88544, 4.54157, 4.19147, 3.96313,
17807  3.60597, 3.32542, 3.02473, 2.83834, 2.62962, 2.43293, 2.26204,
17808  2.06132, 1.8782, 1.70936, 1.57965, 1.46377, 1.33035, 1.22328,
17809  1.14079, 1.02848, 0.907733, 0.831772, 0.748714, 0.670985, 0.604705,
17810  0.531064, 0.464113, 0.409602, 0.430825, 0.422771, 0.294951, 0.0,
17811  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 605.266,
17812  599.008, 592.297, 585.101, 577.386, 569.112, 560.241, 550.729,
17813  540.529, 529.592, 517.865, 505.29, 491.807, 477.349, 461.846,
17814  445.223, 427.398, 408.286, 387.792, 365.818, 342.255, 316.989,
17815  289.898, 260.848, 229.7, 196.3, 160.487, 122.085, 80.9085,
17816  55.6009, 53.3285, 50.8919, 48.2792, 45.4777, 42.4737, 39.2527,
17817  35.7989, 32.0954, 28.5694, 27.0904, 25.5045, 23.804, 21.9806,
17818  20.0254, 18.628, 17.6471, 16.5952, 15.4673, 14.395, 13.3499,
17819  12.2294, 11.2557, 10.504, 9.69802, 9.07073, 8.4315, 7.83599,
17820  7.23654, 6.7789, 6.32179, 5.77315, 5.32976, 4.96685, 4.65832,
17821  4.35017, 3.9469, 3.61875, 3.3871, 3.14148, 2.9065, 2.65917,
17822  2.44961, 2.2362, 2.08565, 1.89782, 1.81185, 1.64082, 1.48866,
17823  1.33593, 1.20803, 1.11928, 1.0293, 0.927201, 0.839252, 0.762491,
17824  0.695649, 0.604548, 0.547082, 0.47709, 0.407302, 0.413444, 0.428277,
17825  0.314338, 0.202669, 0.0, 0.0, 0.0, 0.0, 0.0,
17826  0.0, 598.412, 592.279, 585.704, 578.653, 571.092, 562.986,
17827  554.293, 544.972, 534.978, 524.261, 512.77, 500.449, 487.237,
17828  473.07, 457.88, 441.591, 424.126, 405.398, 385.318, 363.785,
17829  340.697, 315.94, 289.395, 260.93, 230.409, 197.682, 162.59,
17830  124.962, 84.6147, 55.6473, 53.4025, 50.9955, 48.4145, 45.647,
17831  42.6795, 39.4975, 36.0856, 32.4271, 28.6821, 27.2512, 25.717,
17832  24.0718, 22.3078, 20.4163, 18.8895, 17.8085, 16.6493, 15.4064,
17833  14.2987, 13.3685, 12.371, 11.4143, 10.609, 9.74544, 9.12845,
17834  8.55717, 7.9292, 7.24538, 6.6867, 6.16972, 5.82914, 5.46759,
17835  5.07786, 4.63865, 4.2193, 3.91796, 3.71572, 3.38978, 3.15693,
17836  2.8838, 2.67956, 2.42008, 2.23763, 2.11187, 1.92933, 1.72866,
17837  1.62232, 1.49662, 1.37087, 1.23864, 1.12146, 1.04378, 0.965441,
17838  0.85097, 0.765665, 0.690409, 0.628378, 0.5495, 0.485725, 0.429744,
17839  0.385944, 0.444002, 0.319374, 0.219099, 0.0, 0.0, 0.0,
17840  0.0, 0.0, 0.0, 568.312, 562.558, 556.389, 549.773,
17841  542.68, 535.074, 526.918, 518.173, 508.796, 498.741, 487.959,
17842  476.399, 464.003, 450.711, 436.458, 421.176, 404.789, 387.218,
17843  368.377, 348.175, 326.513, 303.285, 278.378, 251.672, 223.035,
17844  192.329, 159.404, 124.1, 86.2445, 55.1507, 52.9962, 50.686,
17845  48.2088, 45.5527, 42.7045, 39.6506, 36.3759, 32.8646, 29.0995,
17846  27.6724, 26.2347, 24.693, 23.0399, 21.2673, 19.6181, 18.2687,
17847  16.8218, 15.2703, 13.9674, 13.1922, 12.361, 11.4912, 10.6263,
17848  9.69892, 9.00306, 8.40221, 7.82485, 7.27388, 6.73967, 6.20344,
17849  5.84568, 5.50741, 5.17618, 4.73142, 4.26688, 3.95195, 3.67036,
17850  3.45061, 3.19156, 2.91852, 2.66118, 2.50411, 2.28313, 2.08336,
17851  1.94859, 1.78594, 1.63051, 1.49298, 1.40194, 1.26255, 1.15007,
17852  1.04892, 0.947819, 0.877216, 0.772701, 0.704692, 0.623049, 0.554236,
17853  0.484509, 0.424503, 0.383606, 0.446483, 0.329779, 0.226187, 0.0,
17854  0.0, 0.0, 0.0, 0.0, 0.0, 587.936, 582.022,
17855  575.681, 568.882, 561.591, 553.773, 545.39, 536.402, 526.764,
17856  516.429, 505.348, 493.465, 480.724, 467.063, 452.414, 436.706,
17857  419.863, 401.803, 382.438, 361.673, 339.408, 315.534, 289.934,
17858  262.485, 233.051, 201.491, 167.65, 131.363, 92.4539, 56.4917,
17859  54.2967, 51.943, 49.4193, 46.7131, 43.8114, 40.6999, 37.3637,
17860  33.7863, 29.9504, 28.1392, 26.5596, 24.8658, 23.0496, 21.1021,
17861  19.2962, 18.0956, 16.8081, 15.4277, 14.1529, 13.3433, 12.4751,
17862  11.5969, 10.97, 10.2978, 9.57025, 8.78506, 8.07161, 7.50175,
17863  6.93523, 6.37087, 5.91661, 5.47057, 5.01718, 4.70132, 4.41355,
17864  4.07184, 3.7385, 3.42042, 3.15728, 2.97019, 2.68065, 2.49452,
17865  2.32533, 2.10658, 1.97371, 1.78995, 1.62182, 1.51551, 1.39482,
17866  1.27349, 1.16455, 1.0533, 0.970971, 0.869829, 0.794547, 0.706846,
17867  0.63852, 0.565633, 0.49551, 0.42066, 0.381394, 0.441276, 0.339236,
17868  0.23368, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
17869  597.022, 591.036, 584.618, 577.737, 570.357, 562.445, 553.961,
17870  544.863, 535.108, 524.649, 513.433, 501.407, 488.511, 474.684,
17871  459.857, 443.959, 426.913, 408.634, 389.034, 368.018, 345.483,
17872  321.319, 295.41, 267.627, 237.837, 205.895, 171.643, 134.917,
17873  95.5365, 55.0887, 52.9799, 50.7188, 48.2942, 45.6944, 42.9068,
17874  39.9177, 36.7126, 33.2758, 29.5907, 27.6382, 26.1633, 24.5818,
17875  22.886, 21.0677, 19.2882, 18.1505, 16.9306, 15.6226, 14.3367,
17876  13.5154, 12.6348, 11.705, 10.9971, 10.2379, 9.48965, 8.76019,
17877  8.06809, 7.53626, 7.00642, 6.49646, 5.991, 5.50782, 5.12396,
17878  4.71325, 4.42335, 4.11993, 3.77445, 3.44892, 3.1653, 2.9761,
17879  2.7293, 2.51957, 2.32389, 2.12266, 1.99261, 1.80622, 1.67301,
17880  1.51591, 1.43021, 1.28416, 1.20047, 1.07915, 0.983212, 0.871162,
17881  0.803995, 0.711156, 0.634863, 0.569876, 0.505677, 0.430814, 0.384394,
17882  0.418591, 0.364356, 0.25325, 0.0, 0.0, 0.0, 0.0,
17883  0.0, 0.0, 592.634, 586.744, 580.428, 573.656, 566.394,
17884  558.608, 550.259, 541.307, 531.707, 521.414, 510.377, 498.543,
17885  485.853, 472.246, 457.656, 442.011, 425.236, 407.248, 387.961,
17886  367.279, 345.104, 321.325, 295.828, 268.489, 239.174, 207.74,
17887  174.035, 137.894, 99.1406, 57.5871, 53.3257, 51.1712, 48.861,
17888  46.3838, 43.7277, 40.8796, 37.8256, 34.551, 31.0397, 28.7418,
17889  27.0181, 25.1697, 23.1879, 21.0627, 18.9087, 17.9252, 16.8707,
17890  15.74, 14.5618, 13.7025, 12.7811, 11.7932, 11.0358, 10.2394,
17891  9.45666, 8.73466, 8.02361, 7.5074, 6.96935, 6.42629, 5.99668,
17892  5.61659, 5.18901, 4.79025, 4.44477, 4.13464, 3.81377, 3.50997,
17893  3.26185, 3.06936, 2.81816, 2.58597, 2.31894, 2.14397, 1.93977,
17894  1.82108, 1.65066, 1.5332, 1.37973, 1.28734, 1.20226, 1.08432,
17895  0.977484, 0.898134, 0.797194, 0.718607, 0.643572, 0.578501, 0.51636,
17896  0.446988, 0.387999, 0.395304, 0.372165, 0.251441, 0.0, 0.0,
17897  0.0, 0.0, 0.0, 0.0, 602.011, 596.077, 589.714,
17898  582.891, 575.575, 567.731, 559.319, 550.3, 540.629, 530.259,
17899  519.139, 507.216, 494.432, 480.723, 466.024, 450.263, 433.362,
17900  415.24, 395.809, 374.973, 352.632, 328.676, 302.988, 275.445,
17901  245.91, 214.242, 180.285, 143.874, 104.832, 62.9677, 54.4892,
17902  52.1279, 49.5958, 46.8808, 43.9696, 40.848, 37.5008, 33.9117,
17903  30.0633, 27.5865, 26.1898, 24.6922, 23.0864, 21.3646, 19.5183,
17904  18.3871, 17.1812, 15.8882, 14.5018, 13.6486, 12.7444, 11.7749,
17905  10.9589, 10.123, 9.35167, 8.84287, 8.29536, 7.69261, 7.09654,
17906  6.63733, 6.14562, 5.62862, 5.22735, 4.82897, 4.42683, 4.07626,
17907  3.83224, 3.55921, 3.25581, 3.01452, 2.82535, 2.56298, 2.31896,
17908  2.17067, 1.98696, 1.82685, 1.67732, 1.56096, 1.40195, 1.29453,
17909  1.19462, 1.08217, 0.98934, 0.896661, 0.836506, 0.749445, 0.657218,
17910  0.588377, 0.519098, 0.453042, 0.389729, 0.378873, 0.384671, 0.268802,
17911  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 609.848,
17912  603.85, 597.418, 590.522, 583.127, 575.198, 566.695, 557.579,
17913  547.803, 537.321, 526.082, 514.03, 501.108, 487.251, 472.393,
17914  456.462, 439.379, 421.062, 401.42, 380.36, 357.777, 333.563,
17915  307.598, 279.757, 249.904, 217.894, 183.571, 146.766, 107.303,
17916  64.9871, 52.5365, 50.4007, 48.1106, 45.655, 43.022, 40.1987,
17917  37.1713, 33.9251, 30.4444, 27.9044, 26.5205, 25.0366, 23.4455,
17918  21.7394, 19.91, 18.7727, 17.6525, 16.4513, 15.1634, 14.1424,
17919  13.0947, 11.9713, 11.106, 10.2894, 9.47094, 8.84054, 8.16951,
17920  7.74556, 7.28244, 6.72581, 6.18925, 5.68731, 5.22405, 4.81788,
17921  4.48092, 4.18688, 3.86713, 3.55027, 3.24593, 3.01655, 2.75739,
17922  2.6198, 2.40621, 2.22968, 2.01211, 1.8604, 1.72568, 1.5823,
17923  1.43297, 1.30342, 1.18336, 1.09889, 0.995178, 0.906244, 0.808118,
17924  0.750277, 0.656239, 0.589193, 0.529077, 0.452551, 0.400653, 0.365386,
17925  0.405622, 0.27893, 0.0, 0.0, 0.0, 0.0, 0.0,
17926  0.0, 605.954, 600.061, 593.741, 586.965, 579.7, 571.909,
17927  563.555, 554.597, 544.993, 534.694, 523.65, 511.809, 499.112,
17928  485.497, 470.899, 455.245, 438.461, 420.463, 401.165, 380.472,
17929  358.283, 334.491, 308.98, 281.625, 252.293, 220.842, 187.117,
17930  150.956, 112.181, 70.6035, 54.2784, 52.0456, 49.6514, 47.0842,
17931  44.3315, 41.3799, 38.2149, 34.8212, 31.1823, 28.2916, 26.8705,
17932  25.3467, 23.7128, 21.9608, 20.0822, 18.8318, 17.6882, 16.4619,
17933  15.147, 14.1261, 13.137, 12.0763, 11.1834, 10.3539, 9.4951,
17934  8.86662, 8.19272, 7.61909, 7.02354, 6.58024, 6.14976, 5.76922,
17935  5.32413, 4.8739, 4.47227, 4.19347, 3.99578, 3.52742, 3.32091,
17936  3.08213, 2.85238, 2.63642, 2.41082, 2.21529, 2.0356, 1.89533,
17937  1.7076, 1.59392, 1.44425, 1.31374, 1.21655, 1.11287, 0.996015,
17938  0.915525, 0.831842, 0.746384, 0.670352, 0.607, 0.540886, 0.472176,
17939  0.403633, 0.351425, 0.404685, 0.29225, 0.0, 0.0, 0.0,
17940  0.0, 0.0, 0.0, 604.749, 598.913, 592.655, 585.945,
17941  578.75, 571.035, 562.763, 553.892, 544.381, 534.183, 523.247,
17942  511.521, 498.948, 485.466, 471.01, 455.509, 438.888, 421.065,
17943  401.955, 381.464, 359.491, 335.931, 310.669, 283.58, 254.534,
17944  223.389, 189.993, 154.184, 115.787, 74.6153, 54.4849, 52.2571,
17945  49.8684, 47.307, 44.5605, 41.6155, 38.4577, 35.0717, 31.4409,
17946  28.3065, 26.8739, 25.3379, 23.6908, 21.9247, 20.0309, 18.6765,
17947  17.5161, 16.2718, 14.9376, 13.8658, 12.8774, 11.8176, 11.0099,
17948  10.4014, 9.74879, 9.01487, 8.22791, 7.69663, 7.19475, 6.71614,
17949  6.22057, 5.72726, 5.31387, 4.94483, 4.58818, 4.14587, 4.02951,
17950  3.62972, 3.35906, 3.12202, 2.85012, 2.6447, 2.38917, 2.19644,
17951  2.06135, 1.90427, 1.74679, 1.6055, 1.45912, 1.33058, 1.21064,
17952  1.12078, 1.02675, 0.926935, 0.842462, 0.753472, 0.679873, 0.608033,
17953  0.540001, 0.469553, 0.410984, 0.356564, 0.406635, 0.305058, 0.0,
17954  0.0, 0.0, 0.0, 0.0, 0.0, 608.377, 602.557,
17955  596.316, 589.624, 582.449, 574.755, 566.505, 557.659, 548.174,
17956  538.003, 527.097, 515.403, 502.864, 489.419, 475.002, 459.543,
17957  442.967, 425.193, 406.135, 385.699, 363.787, 340.291, 315.097,
17958  288.082, 259.115, 228.055, 194.75, 159.038, 120.745, 79.6854,
17959  55.6765, 53.4753, 51.1151, 48.5842, 45.8705, 42.9607, 39.8406,
17960  36.495, 32.9076, 29.5499, 28.0344, 26.4095, 24.6671, 22.7987,
17961  20.7954, 19.2883, 18.0936, 16.8126, 15.4391, 14.3461, 13.4323,
17962  12.4524, 11.5204, 10.6566, 9.7305, 9.08932, 8.43841, 7.90551,
17963  7.39642, 6.81979, 6.22475, 5.72847, 5.31919, 4.97541, 4.67006,
17964  4.21869, 3.92712, 3.60866, 3.31772, 3.12715, 2.89586, 2.71804,
17965  2.44056, 2.2175, 2.08054, 1.91643, 1.7278, 1.62483, 1.46337,
17966  1.34683, 1.24003, 1.1189, 1.03953, 0.947168, 0.85638, 0.774645,
17967  0.694231, 0.613401, 0.540121, 0.481789, 0.417398, 0.358547, 0.404718,
17968  0.316428, 0.20571, 0.0, 0.0, 0.0, 0.0, 0.0,
17969  597.021, 591.353, 585.276, 578.759, 571.772, 564.279, 556.245,
17970  547.631, 538.393, 528.489, 517.868, 506.48, 494.269, 481.176,
17971  467.136, 452.082, 435.94, 418.632, 400.072, 380.171, 358.832,
17972  335.951, 311.417, 285.109, 256.9, 226.653, 194.22, 159.442,
17973  122.152, 82.1668, 54.9426, 52.7874, 50.4764, 47.9985, 45.3414,
17974  42.4923, 39.4374, 36.1616, 32.6492, 29.1347, 27.6643, 26.0877,
17975  24.3972, 22.5844, 20.6407, 19.058, 17.8438, 16.5418, 15.1457,
17976  14.0499, 13.2735, 12.441, 11.5918, 10.7541, 9.85583, 9.09982,
17977  8.33778, 7.68457, 7.07989, 6.68837, 6.34597, 5.85182, 5.39592,
17978  4.98143, 4.60662, 4.2579, 3.93417, 3.69787, 3.44086, 3.10272,
17979  2.85398, 2.65949, 2.47947, 2.26946, 2.07887, 1.92428, 1.70377,
17980  1.61247, 1.46432, 1.36376, 1.25874, 1.14763, 1.04407, 0.937621,
17981  0.865361, 0.784443, 0.691326, 0.619366, 0.556428, 0.483748, 0.418256,
17982  0.35987, 0.382407, 0.329329, 0.216034, 0.0, 0.0, 0.0,
17983  0.0, 0.0, 603.455, 597.766, 591.667, 585.126, 578.113,
17984  570.593, 562.53, 553.884, 544.613, 534.672, 524.013, 512.584,
17985  500.328, 487.187, 473.096, 457.987, 441.786, 424.414, 405.787,
17986  385.813, 364.396, 341.432, 316.807, 290.404, 262.092, 231.734,
17987  199.182, 164.278, 126.852, 86.7204, 55.5397, 53.3545, 51.0113,
17988  48.4988, 45.8047, 42.9159, 39.8184, 36.497, 32.9356, 29.1403,
17989  27.7088, 26.1739, 24.528, 22.7632, 20.8708, 19.2682, 18.146,
17990  16.9428, 15.6526, 14.5051, 13.6155, 12.6616, 11.712, 10.8804,
17991  9.98858, 9.3142, 8.70319, 8.05648, 7.3703, 6.81214, 6.30932,
17992  5.85022, 5.42427, 5.04492, 4.68977, 4.35436, 3.99878, 3.73045,
17993  3.40418, 3.13296, 2.92521, 2.70916, 2.44358, 2.26199, 2.10894,
17994  1.90666, 1.79271, 1.64377, 1.48043, 1.40974, 1.25169, 1.16153,
17995  1.03776, 0.951462, 0.848272, 0.78252, 0.707787, 0.637557, 0.574183,
17996  0.496182, 0.4246, 0.370255, 0.365334, 0.337805, 0.228355, 0.0,
17997  0.0, 0.0, 0.0, 0.0, 607.872, 602.183, 596.084,
17998  589.543, 582.53, 575.01, 566.946, 558.3, 549.029, 539.087,
17999  528.428, 516.998, 504.742, 491.6, 477.509, 462.399, 446.198,
18000  428.825, 410.197, 390.223, 368.806, 345.84, 321.215, 294.811,
18001  266.498, 236.139, 203.586, 168.681, 131.253, 91.1204, 56.0882,
18002  53.8876, 51.528, 48.9979, 46.2849, 43.3759, 40.2566, 36.9119,
18003  33.3255, 29.48, 27.8404, 26.3152, 24.6797, 22.9261, 21.0457,
18004  19.3391, 18.1507, 16.8764, 15.51, 14.2775, 13.4554, 12.5739,
18005  11.66, 10.8121, 9.90301, 9.16106, 8.50698, 7.91907, 7.42976,
18006  6.90888, 6.35338, 5.89913, 5.46406, 5.05427, 4.6672, 4.35788,
18007  4.06065, 3.81326, 3.46521, 3.18307, 2.9056, 2.77521, 2.53797,
18008  2.35327, 2.15616, 1.98198, 1.80768, 1.65569, 1.50705, 1.39009,
18009  1.27566, 1.13661, 1.06246, 0.973296, 0.872768, 0.792796, 0.730614,
18010  0.642214, 0.573656, 0.512995, 0.43347, 0.374525, 0.346945, 0.361588,
18011  0.237671, 0.0, 0.0, 0.0, 0.0, 0.0, 587.426,
18012  581.984, 576.15, 569.893, 563.185, 555.991, 548.278, 540.008,
18013  531.14, 521.63, 511.434, 500.501, 488.778, 476.207, 462.728,
18014  448.275, 432.778, 416.16, 398.342, 379.236, 358.749, 336.782,
18015  313.227, 287.97, 260.887, 231.848, 200.71, 167.321, 131.52,
18016  93.1317, 55.9407, 53.8055, 51.5161, 49.0613, 46.429, 43.6065,
18017  40.5801, 37.3349, 33.8552, 30.124, 28.1529, 26.4838, 24.694,
18018  22.7749, 20.7172, 18.8177, 17.7783, 16.6638, 15.4687, 14.3239,
18019  13.5603, 12.7415, 11.8775, 11.0743, 10.2131, 9.48668, 8.88254,
18020  8.21663, 7.46965, 6.89408, 6.53585, 6.00131, 5.47548, 5.10633,
18021  4.80874, 4.38561, 4.03273, 3.7282, 3.45059, 3.22053, 2.95386,
18022  2.69659, 2.51294, 2.31905, 2.16017, 1.98846, 1.82356, 1.6599,
18023  1.52289, 1.38792, 1.24663, 1.17004, 1.06258, 0.995146, 0.890445,
18024  0.789148, 0.735575, 0.641387, 0.576888, 0.516977, 0.443418, 0.378757,
18025  0.339198, 0.362395, 0.241596, 0.0, 0.0, 0.0, 0.0,
18026  0.0, 602.683, 597.106, 591.127, 584.716, 577.841, 570.47,
18027  562.566, 554.091, 545.003, 535.259, 524.81, 513.606, 501.593,
18028  488.711, 474.898, 460.088, 444.206, 427.178, 408.918, 389.339,
18029  368.345, 345.834, 321.696, 295.814, 268.061, 238.303, 206.394,
18030  172.179, 135.492, 96.1533, 54.2779, 52.3069, 50.1936, 47.9275,
18031  45.4976, 42.8922, 40.0985, 37.1028, 33.8907, 30.4465, 28.3546,
18032  26.7108, 24.9483, 23.0584, 21.0319, 19.0473, 18.0171, 16.9126,
18033  15.7282, 14.5285, 13.6794, 12.7689, 11.7961, 11.0061, 10.1589,
18034  9.40432, 8.79167, 8.14323, 7.47144, 6.89827, 6.52905, 6.09688,
18035  5.63522, 5.20154, 4.70244, 4.33083, 4.09491, 3.82036, 3.51899,
18036  3.25022, 3.00184, 2.72954, 2.56521, 2.34345, 2.17615, 1.96321,
18037  1.85256, 1.68026, 1.54908, 1.40263, 1.291, 1.19648, 1.08923,
18038  0.981806, 0.887139, 0.806333, 0.73275, 0.662045, 0.599585, 0.519101,
18039  0.446091, 0.385347, 0.333418, 0.373089, 0.258764, 0.0, 0.0,
18040  0.0, 0.0, 0.0, 609.733, 604.135, 598.133, 591.697,
18041  584.795, 577.396, 569.461, 560.953, 551.83, 542.048, 531.559,
18042  520.312, 508.252, 495.321, 481.455, 466.587, 450.644, 433.55,
18043  415.22, 395.565, 374.49, 351.892, 327.661, 301.679, 273.819,
18044  243.946, 211.913, 177.566, 140.737, 101.247, 58.902, 53.3275,
18045  51.0835, 48.6773, 46.0972, 43.3307, 40.3642, 37.1834, 33.7727,
18046  30.1155, 27.8766, 26.4387, 24.8969, 23.2437, 21.471, 19.6264,
18047  18.5517, 17.3994, 16.1638, 14.8658, 13.9778, 13.0255, 12.0044,
18048  11.1758, 10.31, 9.48941, 8.81038, 8.1204, 7.55856, 7.00096,
18049  6.51523, 6.05919, 5.62008, 5.21517, 4.87395, 4.52617, 4.16727,
18050  3.80824, 3.46602, 3.24463, 3.09842, 2.76219, 2.59145, 2.37449,
18051  2.13021, 2.00502, 1.86574, 1.69635, 1.54425, 1.40741, 1.29648,
18052  1.18427, 1.07157, 0.989776, 0.904379, 0.815812, 0.738678, 0.659163,
18053  0.592178, 0.525911, 0.450237, 0.388187, 0.330207, 0.375338, 0.267929,
18054  0.0, 0.0, 0.0, 0.0, 0.0, 615.158, 609.568,
18055  603.575, 597.148, 590.256, 582.867, 574.944, 566.448, 557.338,
18056  547.57, 537.096, 525.864, 513.822, 500.909, 487.062, 472.215,
18057  456.296, 439.225, 420.921, 401.295, 380.25, 357.684, 333.487,
18058  307.542, 279.721, 249.891, 217.904, 183.606, 146.829, 107.394,
18059  65.1098, 55.6086, 53.1694, 50.554, 47.7495, 44.7424, 41.5179,
18060  38.0605, 34.3531, 30.3779, 27.8028, 26.446, 24.9911, 23.4311,
18061  21.7584, 19.9648, 18.746, 17.4612, 16.0835, 14.6062, 13.732,
18062  12.823, 11.8484, 11.065, 10.2788, 9.50079, 8.85052, 8.16263,
18063  7.52106, 6.92365, 6.65102, 6.19864, 5.57986, 5.17943, 4.79771,
18064  4.4562, 4.14403, 3.85884, 3.63381, 3.23723, 2.99924, 2.76094,
18065  2.57639, 2.36275, 2.21395, 2.02178, 1.81819, 1.67883, 1.54876,
18066  1.41316, 1.2976, 1.21166, 1.11079, 0.988412, 0.906613, 0.835193,
18067  0.752472, 0.67014, 0.603027, 0.541387, 0.465245, 0.403298, 0.337875,
18068  0.375659, 0.275077, 0.0, 0.0, 0.0, 0.0, 0.0,
18069  597.908, 592.515, 586.732, 580.532, 573.883, 566.753, 559.109,
18070  550.912, 542.122, 532.698, 522.592, 511.756, 500.137, 487.678,
18071  474.319, 459.994, 444.635, 428.165, 410.505, 391.569, 371.264,
18072  349.492, 326.147, 301.114, 274.272, 245.491, 214.63, 181.538,
18073  146.055, 108.008, 67.2109, 54.5048, 52.285, 49.9049, 47.3528,
18074  44.6162, 41.6819, 38.5355, 35.1617, 31.5441, 28.7797, 27.1424,
18075  25.3868, 23.5043, 21.4858, 19.3213, 18.1059, 16.9564, 15.7239,
18076  14.4022, 13.6069, 12.8472, 12.0327, 11.2784, 10.5119, 9.73602,
18077  9.12326, 8.46634, 7.80993, 7.13576, 6.65201, 6.1542, 5.64736,
18078  5.22765, 4.90966, 4.58581, 4.14885, 3.8321, 3.568, 3.34554,
18079  3.10369, 2.80152, 2.61632, 2.48543, 2.21334, 2.0582, 1.84581,
18080  1.69129, 1.58925, 1.44436, 1.34712, 1.22232, 1.0973, 0.996126,
18081  0.943864, 0.838075, 0.752494, 0.673781, 0.612799, 0.536898, 0.471199,
18082  0.394258, 0.341272, 0.357651, 0.288641, 0.0, 0.0, 0.0,
18083  0.0, 0.0, 607.26, 601.806, 595.959, 589.688, 582.964,
18084  575.755, 568.024, 559.735, 550.847, 541.316, 531.097, 520.139,
18085  508.389, 495.79, 482.281, 467.795, 452.262, 435.607, 417.749,
18086  398.6, 378.066, 356.049, 332.441, 307.127, 279.984, 250.879,
18087  219.67, 186.206, 150.324, 111.849, 70.593, 54.1167, 51.9609,
18088  49.6493, 47.1707, 44.513, 41.6632, 38.6075, 35.3309, 31.8175,
18089  28.98, 27.531, 25.9772, 24.3112, 22.5248, 20.6092, 19.2211,
18090  17.9127, 16.5097, 15.0054, 14.0093, 13.1163, 12.1587, 11.3626,
18091  10.6341, 9.85888, 9.08998, 8.26551, 7.74279, 7.21729, 6.64588,
18092  6.08691, 5.58786, 5.20102, 4.82809, 4.4765, 4.18991, 3.91916,
18093  3.67204, 3.38353, 3.11793, 2.88259, 2.66562, 2.41105, 2.20372,
18094  2.0444, 1.87197, 1.73872, 1.58507, 1.45511, 1.33877, 1.22112,
18095  1.13173, 1.02793, 0.913496, 0.832884, 0.763884, 0.68773, 0.614973,
18096  0.544344, 0.483903, 0.409688, 0.350119, 0.33897, 0.303951, 0.0,
18097  0.0, 0.0, 0.0, 0.0, 614.972, 609.495, 603.621,
18098  597.323, 590.57, 583.329, 575.565, 567.239, 558.312, 548.74,
18099  538.476, 527.47, 515.668, 503.014, 489.446, 474.897, 459.296,
18100  442.568, 424.631, 405.398, 384.775, 362.662, 338.951, 313.526,
18101  286.263, 257.031, 225.686, 192.076, 156.036, 117.393, 75.9563,
18102  55.6136, 53.2794, 50.7764, 48.0927, 45.2149, 42.1292, 38.8206,
18103  35.2727, 31.4686, 28.2019, 26.773, 25.2409, 23.598, 21.8365,
18104  19.9476, 18.6737, 17.6334, 16.5179, 15.3217, 14.3146, 13.3586,
18105  12.3336, 11.4873, 10.7787, 10.019, 9.24188, 8.40857, 7.78895,
18106  7.18428, 6.68359, 6.20758, 5.83981, 5.41835, 4.9971, 4.61199,
18107  4.25249, 3.91019, 3.66135, 3.31394, 3.12015, 2.86852, 2.6767,
18108  2.47444, 2.23938, 2.09344, 1.90775, 1.74982, 1.58568, 1.46007,
18109  1.35115, 1.22535, 1.11938, 1.00273, 0.941318, 0.863098, 0.76102,
18110  0.679486, 0.622307, 0.556711, 0.479553, 0.417959, 0.349558, 0.326891,
18111  0.316049, 0.0, 0.0, 0.0, 0.0, 0.0, 608.339,
18112  602.959, 597.19, 591.004, 584.372, 577.259, 569.633, 561.456,
18113  552.688, 543.286, 533.205, 522.395, 510.804, 498.376, 485.049,
18114  470.759, 455.436, 439.006, 421.389, 402.499, 382.243, 360.524,
18115  337.235, 312.263, 285.486, 256.774, 225.988, 192.976, 157.579,
18116  119.624, 78.9256, 55.3301, 53.0575, 50.6206, 48.0076, 45.2058,
18117  42.2015, 38.9801, 35.5259, 31.8221, 28.3968, 26.9698, 25.4397,
18118  23.7989, 22.0396, 20.1532, 18.7325, 17.5953, 16.3759, 15.0684,
18119  14.0261, 13.147, 12.2045, 11.3637, 10.6522, 9.8892, 9.22362,
18120  8.52471, 7.85201, 7.15882, 6.6375, 6.16376, 5.86466, 5.41686,
18121  4.95146, 4.6012, 4.17123, 4.01524, 3.65346, 3.36731, 3.14521,
18122  2.92474, 2.66984, 2.45367, 2.26915, 2.0746, 1.92617, 1.78034,
18123  1.60101, 1.48051, 1.35804, 1.25286, 1.12396, 1.02976, 0.942768,
18124  0.865297, 0.772135, 0.702319, 0.631068, 0.535481, 0.488855, 0.418586,
18125  0.35576, 0.316915, 0.329623, 0.207438, 0.0, 0.0, 0.0,
18126  0.0, 608.288, 602.948, 597.223, 591.084, 584.501, 577.443,
18127  569.875, 561.759, 553.057, 543.726, 533.721, 522.993, 511.49,
18128  499.155, 485.929, 471.747, 456.54, 440.234, 422.75, 404.002,
18129  383.9, 362.345, 339.232, 314.448, 287.874, 259.379, 228.825,
18130  196.063, 160.933, 123.264, 82.8736, 55.8845, 53.6973, 51.352,
18131  48.8372, 46.1407, 43.2493, 40.149, 36.8247, 33.26, 29.7107,
18132  28.0961, 26.3647, 24.5083, 22.5177, 20.3832, 18.7601, 17.6294,
18133  16.4171, 15.1172, 14.1146, 13.4096, 12.6536, 11.8366, 10.9505,
18134  10.0002, 9.26403, 8.5356, 7.80207, 7.04183, 6.686, 6.42204,
18135  5.83913, 5.34916, 4.93352, 4.54235, 4.34732, 4.00201, 3.60042,
18136  3.3229, 3.25552, 2.91662, 2.68773, 2.46644, 2.2487, 2.09701,
18137  1.92995, 1.77238, 1.65336, 1.46772, 1.36518, 1.23212, 1.13599,
18138  1.03608, 0.949666, 0.860252, 0.788103, 0.712512, 0.639849, 0.568253,
18139  0.496822, 0.431619, 0.358674, 0.311545, 0.342099, 0.215049, 0.0,
18140  0.0, 0.0, 0.0, 613.068, 607.708, 601.96, 595.796,
18141  589.187, 582.101, 574.502, 566.354, 557.618, 548.25, 538.205,
18142  527.434, 515.885, 503.501, 490.222, 475.984, 460.717, 444.346,
18143  426.792, 407.97, 387.787, 366.146, 342.941, 318.059, 291.379,
18144  262.77, 232.094, 199.202, 163.932, 126.114, 85.5622, 54.8697,
18145  52.7446, 50.4659, 48.0225, 45.4026, 42.5933, 39.581, 36.351,
18146  32.8876, 29.2429, 27.823, 26.3004, 24.6678, 22.9173, 21.0402,
18147  19.3954, 18.1084, 16.7284, 15.2487, 14.0369, 13.2388, 12.3831,
18148  11.5376, 10.7987, 10.0065, 9.25567, 8.48624, 7.8669, 7.36657,
18149  6.82266, 6.23749, 5.83072, 5.44342, 5.06054, 4.56623, 4.34693,
18150  4.03158, 3.69896, 3.44273, 3.2438, 2.95268, 2.72845, 2.46949,
18151  2.32767, 2.0843, 2.00622, 1.80984, 1.64284, 1.51818, 1.39648,
18152  1.27864, 1.16533, 1.0521, 0.975252, 0.866504, 0.786199, 0.700722,
18153  0.645447, 0.57317, 0.497758, 0.431453, 0.366882, 0.317038, 0.342255,
18154  0.224611, 0.0, 0.0, 0.0, 0.0, 622.315, 616.907,
18155  611.108, 604.89, 598.222, 591.073, 583.407, 575.187, 566.372,
18156  556.921, 546.787, 535.921, 524.269, 511.775, 498.379, 484.014,
18157  468.611, 452.095, 434.385, 415.396, 395.034, 373.201, 349.79,
18158  324.687, 297.77, 268.908, 237.96, 204.775, 169.192, 131.038,
18159  90.1267, 55.5093, 53.3666, 51.0691, 48.6055, 45.9639, 43.1314,
18160  40.0942, 36.8376, 33.3455, 29.6011, 27.9873, 26.4093, 24.7174,
18161  22.9031, 20.9578, 19.2341, 18.0574, 16.7956, 15.4426, 14.2037,
18162  13.2816, 12.293, 11.3296, 10.6478, 9.9167, 9.32049, 8.78333,
18163  8.18774, 7.52705, 6.9212, 6.34514, 5.84222, 5.44085, 5.17428,
18164  4.71862, 4.35719, 3.98935, 3.77036, 3.52954, 3.30915, 2.99141,
18165  2.8188, 2.53184, 2.29969, 2.11848, 1.94609, 1.79724, 1.65692,
18166  1.52055, 1.38577, 1.29359, 1.17381, 1.04663, 0.978537, 0.887227,
18167  0.799473, 0.730222, 0.662092, 0.57404, 0.500512, 0.443106, 0.375182,
18168  0.312014, 0.350249, 0.242103, 0.0, 0.0, 0.0, 0.0,
18169  620.727, 615.359, 609.603, 603.432, 596.814, 589.718, 582.109,
18170  573.95, 565.202, 555.822, 545.763, 534.978, 523.414, 511.013,
18171  497.717, 483.459, 468.171, 451.779, 434.202, 415.354, 395.144,
18172  373.474, 350.238, 325.323, 298.607, 269.961, 239.244, 206.307,
18173  170.991, 133.122, 92.5158, 54.5408, 52.4823, 50.2749, 47.9081,
18174  45.3702, 42.6489, 39.7309, 36.6021, 33.2471, 29.6497, 27.8996,
18175  26.3875, 24.7661, 23.0275, 21.1633, 19.4241, 18.2745, 17.0419,
18176  15.7203, 14.4628, 13.5726, 12.6182, 11.6345, 10.8403, 9.9886,
18177  9.20583, 8.46832, 7.83897, 7.42104, 6.94343, 6.40144, 6.01095,
18178  5.58427, 5.03453, 4.58089, 4.29754, 4.01488, 3.76217, 3.51749,
18179  3.24019, 2.93114, 2.75441, 2.51627, 2.3276, 2.14588, 1.9801,
18180  1.81002, 1.64181, 1.52751, 1.39426, 1.27282, 1.20921, 1.09901,
18181  0.982213, 0.893277, 0.814509, 0.729053, 0.646209, 0.586543, 0.522119,
18182  0.454179, 0.383789, 0.32031, 0.346553, 0.24517, 0.0, 0.0,
18183  0.0, 0.0, 618.666, 613.368, 607.687, 601.596, 595.064,
18184  588.061, 580.551, 572.498, 563.864, 554.606, 544.678, 534.033,
18185  522.619, 510.38, 497.257, 483.185, 468.096, 451.917, 434.568,
18186  415.966, 396.02, 374.632, 351.698, 327.107, 300.739, 272.465,
18187  242.148, 209.64, 174.783, 137.407, 97.33, 56.2612, 54.097,
18188  51.7764, 49.2881, 46.6199, 43.759, 40.6913, 37.4019, 33.8748,
18189  30.0928, 28.0887, 26.5665, 24.9343, 23.1841, 21.3074, 19.4816,
18190  18.3555, 17.148, 15.8532, 14.5724, 13.7043, 12.7734, 11.7904,
18191  11.0203, 10.1945, 9.45069, 8.80852, 8.14815, 7.50525, 6.96409,
18192  6.59508, 6.08184, 5.57288, 5.26992, 4.821, 4.46745, 4.04469,
18193  3.66219, 3.45914, 3.1808, 3.00998, 2.75277, 2.56312, 2.37359,
18194  2.17689, 1.98436, 1.83912, 1.70182, 1.52691, 1.38871, 1.30336,
18195  1.19232, 1.10085, 0.983769, 0.910257, 0.821322, 0.735809, 0.66339,
18196  0.589021, 0.524168, 0.457466, 0.393406, 0.324989, 0.329595, 0.256993,
18197  0.0, 0.0, 0.0, 0.0, 620.456, 615.19, 609.544,
18198  603.489, 596.997, 590.036, 582.572, 574.568, 565.986, 556.784,
18199  546.917, 536.336, 524.991, 512.827, 499.783, 485.796, 470.799,
18200  454.717, 437.474, 418.985, 399.159, 377.901, 355.106, 330.664,
18201  304.456, 276.353, 246.22, 213.909, 179.263, 142.114, 102.279,
18202  59.5663, 55.7132, 53.3549, 50.8262, 48.1147, 45.2073, 42.0898,
18203  38.747, 35.1626, 31.3192, 29.0447, 27.4732, 25.7883, 23.9815,
18204  22.0442, 20.0718, 18.8915, 17.6258, 16.2687, 14.876, 13.9901,
18205  13.0402, 12.0217, 11.1658, 10.2563, 9.42822, 8.76777, 8.11332,
18206  7.6029, 7.0747, 6.5473, 6.07383, 5.61934, 5.16085, 4.72088,
18207  4.45546, 4.23196, 3.86893, 3.55242, 3.26651, 3.05188, 2.77731,
18208  2.5768, 2.38344, 2.18223, 2.02167, 1.85314, 1.70715, 1.53712,
18209  1.43514, 1.32821, 1.18427, 1.06801, 1.01243, 0.894002, 0.837785,
18210  0.738921, 0.659548, 0.586459, 0.530776, 0.461632, 0.396822, 0.327982,
18211  0.311427, 0.268654, 0.0, 0.0, 0.0, 0.0, 609.871,
18212  604.729, 599.216, 593.304, 586.965, 580.167, 572.879, 565.064,
18213  556.684, 547.698, 538.063, 527.732, 516.654, 504.775, 492.038,
18214  478.381, 463.737, 448.034, 431.197, 413.142, 393.783, 373.025,
18215  350.767, 326.901, 301.309, 273.868, 244.444, 212.894, 179.064,
18216  142.789, 103.892, 62.1844, 54.9595, 52.6543, 50.1825, 47.5321,
18217  44.6901, 41.6428, 38.3753, 34.8716, 31.1147, 28.7203, 27.2613,
18218  25.6969, 24.0194, 22.2207, 20.31, 19.1506, 17.9074, 16.5744,
18219  15.1514, 14.1404, 13.0562, 11.8938, 11.073, 10.2507, 9.46832,
18220  8.8502, 8.21141, 7.67722, 7.13179, 6.63067, 6.13519, 5.64937,
18221  5.28169, 4.95248, 4.55991, 4.13163, 3.79329, 3.50252, 3.26092,
18222  3.0096, 2.82415, 2.59183, 2.37094, 2.20253, 2.00598, 1.83188,
18223  1.69324, 1.53773, 1.45119, 1.31189, 1.18573, 1.11328, 0.998606,
18224  0.916332, 0.832215, 0.748148, 0.682597, 0.5957, 0.544339, 0.472098,
18225  0.400522, 0.336274, 0.302953, 0.28328, 0.0, 0.0, 0.0,
18226  0.0, 629.846, 624.552, 618.876, 612.789, 606.263, 599.265,
18227  591.762, 583.716, 575.089, 565.838, 555.919, 545.282, 533.878,
18228  521.649, 508.536, 494.476, 479.399, 463.233, 445.899, 427.312,
18229  407.382, 386.011, 363.097, 338.526, 312.179, 283.929, 253.637,
18230  221.155, 186.327, 148.981, 108.937, 65.9989, 55.0227, 52.6812,
18231  50.1705, 47.4784, 44.5918, 41.4965, 38.1776, 34.6188, 30.8028,
18232  28.1349, 26.6295, 25.0154, 23.2846, 21.4288, 19.4389, 18.3355,
18233  17.2238, 16.0318, 14.7536, 13.8895, 13.0029, 12.0521, 11.2416,
18234  10.4263, 9.63924, 9.09048, 8.49555, 7.74869, 7.03138, 6.68555,
18235  6.23981, 5.68629, 5.34818, 4.87262, 4.4844, 4.2814, 3.94375,
18236  3.64138, 3.33485, 3.00913, 2.74709, 2.66692, 2.40662, 2.20323,
18237  2.01688, 1.86276, 1.73576, 1.57421, 1.45633, 1.35114, 1.20514,
18238  1.11755, 1.00381, 0.90744, 0.846079, 0.763741, 0.682646, 0.620728,
18239  0.543134, 0.469635, 0.405937, 0.338769, 0.296277, 0.29447, 0.0,
18240  0.0, 0.0, 0.0, 618.438, 613.288, 607.766, 601.846,
18241  595.497, 588.689, 581.39, 573.563, 565.17, 556.171, 546.521,
18242  536.174, 525.08, 513.183, 500.427, 486.749, 472.083, 456.357,
18243  439.494, 421.412, 402.024, 381.235, 358.943, 335.04, 309.41,
18244  281.928, 252.46, 220.862, 186.981, 150.651, 111.695, 69.925,
18245  55.7423, 53.4061, 50.9012, 48.2152, 45.3351, 42.2469, 38.9355,
18246  35.3848, 31.5775, 28.7116, 27.2535, 25.69, 24.0135, 22.2159,
18247  20.2884, 19.0238, 17.8092, 16.5068, 15.1103, 14.1116, 13.1342,
18248  12.0862, 11.2424, 10.4514, 9.6544, 9.09586, 8.49697, 7.76601,
18249  7.01183, 6.55002, 6.09736, 5.67321, 5.29101, 4.92129, 4.52925,
18250  4.12683, 3.93987, 3.62207, 3.40389, 3.08406, 2.82835, 2.6082,
18251  2.36988, 2.24041, 2.04111, 1.89073, 1.78665, 1.61893, 1.43843,
18252  1.33924, 1.24279, 1.11148, 1.01118, 0.941042, 0.848485, 0.761587,
18253  0.68827, 0.625406, 0.555336, 0.482426, 0.410995, 0.349057, 0.292129,
18254  0.304914, 0.0, 0.0, 0.0, 0.0, 615.479, 610.383,
18255  604.918, 599.059, 592.776, 586.039, 578.815, 571.069, 562.763,
18256  553.857, 544.307, 534.067, 523.087, 511.314, 498.69, 485.154,
18257  470.639, 455.075, 438.387, 420.493, 401.305, 380.731, 358.67,
18258  335.015, 309.65, 282.452, 253.289, 222.018, 188.487, 152.533,
18259  113.981, 72.6429, 55.1977, 52.9121, 50.4614, 47.8335, 45.0158,
18260  41.9944, 38.7547, 35.2808, 31.556, 28.5087, 27.0147, 25.4127,
18261  23.695, 21.8531, 19.8781, 18.5775, 17.4321, 16.204, 14.8871,
18262  13.9598, 13.1201, 12.2197, 11.3596, 10.4997, 9.60716, 9.06051,
18263  8.47436, 7.91414, 7.32227, 6.7728, 6.19714, 5.60749, 5.26415,
18264  4.87487, 4.45348, 4.23338, 3.89592, 3.61433, 3.36655, 3.10971,
18265  2.85105, 2.58323, 2.42675, 2.264, 2.05131, 1.88249, 1.76721,
18266  1.61637, 1.48044, 1.35373, 1.26513, 1.15976, 1.02178, 0.946848,
18267  0.856497, 0.764632, 0.69107, 0.631877, 0.536627, 0.483609, 0.420392,
18268  0.348664, 0.286066, 0.314428, 0.0, 0.0, 0.0, 0.0,
18269  629.283, 624.098, 618.537, 612.575, 606.182, 599.327, 591.977,
18270  584.095, 575.644, 566.582, 556.865, 546.446, 535.274, 523.294,
18271  510.449, 496.676, 481.907, 466.071, 449.091, 430.883, 411.36,
18272  390.425, 367.978, 343.909, 318.1, 290.426, 260.752, 228.934,
18273  194.816, 158.233, 119.005, 76.9435, 55.7208, 53.4225, 50.9581,
18274  48.3156, 45.4822, 42.444, 39.1862, 35.6931, 31.9474, 28.6673,
18275  27.1666, 25.5573, 23.8318, 21.9816, 19.9977, 18.6761, 17.6327,
18276  16.5139, 15.3142, 14.2903, 13.3187, 12.2769, 11.3563, 10.533,
18277  9.65017, 9.05376, 8.41876, 7.78955, 7.12728, 6.68716, 6.26983,
18278  5.91727, 5.48927, 5.01987, 4.56286, 4.26124, 3.92902, 3.67037,
18279  3.40808, 3.14603, 2.83327, 2.65066, 2.47607, 2.23646, 2.10151,
18280  1.95068, 1.76732, 1.65001, 1.47257, 1.36764, 1.24258, 1.13416,
18281  1.0312, 0.966645, 0.851834, 0.781032, 0.697322, 0.624567, 0.550274,
18282  0.491012, 0.43161, 0.3553, 0.293385, 0.319896, 0.0, 0.0,
18283  0.0, 0.0, 604.781, 599.831, 594.524, 588.833, 582.73,
18284  576.187, 569.17, 561.647, 553.58, 544.93, 535.655, 525.709,
18285  515.045, 503.61, 491.349, 478.202, 464.104, 448.988, 432.78,
18286  415.4, 396.764, 376.781, 355.354, 332.379, 307.743, 281.327,
18287  253.002, 222.631, 190.064, 155.143, 117.699, 77.5495, 54.0095,
18288  51.9221, 49.6839, 47.284, 44.7106, 41.9512, 38.9925, 35.8199,
18289  32.418, 29.212, 27.6856, 26.0489, 24.2939, 22.4121, 20.3943,
18290  18.8888, 17.7113, 16.4487, 15.0949, 14.007, 13.09, 12.1068,
18291  11.2627, 10.6002, 9.88984, 9.2152, 8.50112, 7.93758, 7.41052,
18292  6.91878, 6.40314, 5.83724, 5.35056, 4.96863, 4.72842, 4.42311,
18293  4.03798, 3.65341, 3.41179, 3.12238, 2.87842, 2.68305, 2.43849,
18294  2.25982, 2.10089, 1.98423, 1.7749, 1.62359, 1.50384, 1.35678,
18295  1.21477, 1.1568, 1.0504, 0.938729, 0.887592, 0.795213, 0.712774,
18296  0.639631, 0.570231, 0.502, 0.42935, 0.369139, 0.303645, 0.318526,
18297  0.208211, 0.0, 0.0, 0.0, 630.656, 625.524, 620.022,
18298  614.122, 607.796, 601.013, 593.739, 585.94, 577.577, 568.61,
18299  558.995, 548.685, 537.629, 525.775, 513.065, 499.435, 484.821,
18300  469.151, 452.348, 434.331, 415.011, 394.296, 372.084, 348.266,
18301  322.727, 295.343, 265.979, 234.494, 200.733, 164.532, 125.715,
18302  84.0932, 56.2073, 53.9765, 51.5845, 49.0196, 46.2694, 43.3204,
18303  40.1583, 36.7676, 33.132, 29.5072, 27.859, 26.0916, 24.1966,
18304  22.1646, 19.9857, 18.4595, 17.5708, 16.6178, 15.596, 14.5827,
18305  13.5745, 12.4935, 11.4744, 10.6063, 9.67557, 9.07766, 8.524,
18306  7.96296, 7.3796, 6.94236, 6.52131, 5.93356, 5.45657, 5.04873,
18307  4.60244, 4.20339, 4.06996, 3.7068, 3.546, 3.00936, 2.93082,
18308  2.64173, 2.46721, 2.33047, 2.07722, 1.94884, 1.77987, 1.67083,
18309  1.5443, 1.40507, 1.27399, 1.15109, 1.0441, 0.972994, 0.897283,
18310  0.805449, 0.714914, 0.647255, 0.56612, 0.500875, 0.446424, 0.37581,
18311  0.301477, 0.309782, 0.227692, 0.0, 0.0, 0.0, 611.498,
18312  606.557, 601.259, 595.578, 589.487, 582.955, 575.951, 568.442,
18313  560.389, 551.755, 542.496, 532.569, 521.924, 510.51, 498.271,
18314  485.147, 471.075, 455.987, 439.807, 422.459, 403.857, 383.91,
18315  362.522, 339.588, 314.997, 288.629, 260.355, 230.038, 197.53,
18316  162.673, 125.297, 85.2197, 55.0485, 52.9145, 50.6263, 48.1728,
18317  45.5419, 42.721, 39.6961, 36.4527, 32.9748, 29.3212, 27.7634,
18318  26.0931, 24.3021, 22.3816, 20.3223, 18.6922, 17.6805, 16.5957,
18319  15.4324, 14.3672, 13.4645, 12.4966, 11.608, 10.9964, 10.3405,
18320  9.5899, 8.76827, 8.03639, 7.36837, 6.8543, 6.40155, 5.9396,
18321  5.39854, 4.84947, 4.65553, 4.42637, 4.09695, 3.75206, 3.45199,
18322  3.15781, 2.94392, 2.74434, 2.51072, 2.26234, 2.15516, 1.99773,
18323  1.80982, 1.6525, 1.55564, 1.426, 1.2791, 1.16884, 1.07538,
18324  0.970928, 0.88236, 0.807249, 0.733555, 0.657635, 0.583632, 0.517864,
18325  0.445213, 0.372137, 0.309571, 0.291341, 0.227848, 0.0, 0.0,
18326  0.0, 616.272, 611.309, 605.986, 600.28, 594.16, 587.598,
18327  580.563, 573.018, 564.929, 556.255, 546.954, 536.981, 526.287,
18328  514.82, 502.525, 489.341, 475.205, 460.046, 443.793, 426.364,
18329  407.677, 387.638, 366.152, 343.113, 318.409, 291.919, 263.516,
18330  233.059, 200.402, 165.384, 127.836, 87.5749, 53.9582, 51.9689,
18331  49.8358, 47.5486, 45.0961, 42.4663, 39.6465, 36.623, 33.3809,
18332  29.9045, 28.2627, 26.6104, 24.8388, 22.9392, 20.9022, 19.1605,
18333  18.0777, 16.9167, 15.6718, 14.5142, 13.5982, 12.616, 11.6217,
18334  10.7572, 9.83014, 9.17905, 8.65934, 8.09372, 7.47821, 6.92986,
18335  6.41865, 5.9753, 5.50273, 5.01188, 4.73761, 4.36743, 4.06825,
18336  3.82773, 3.51247, 3.30862, 2.93081, 2.76554, 2.48334, 2.35685,
18337  2.20993, 1.96541, 1.85781, 1.67009, 1.54243, 1.40834, 1.2788,
18338  1.15383, 1.06564, 0.97388, 0.883327, 0.810918, 0.729495, 0.660476,
18339  0.594769, 0.522009, 0.444415, 0.383836, 0.314213, 0.284897, 0.230905,
18340  0.0, 0.0, 0.0, 621.33, 616.38, 611.072, 605.381,
18341  599.278, 592.735, 585.718, 578.194, 570.127, 561.477, 552.201,
18342  542.256, 531.591, 520.156, 507.894, 494.747, 480.649, 465.532,
18343  449.323, 431.943, 413.306, 393.323, 371.896, 348.92, 324.283,
18344  297.867, 269.541, 239.168, 206.6, 171.679, 134.234, 94.0826,
18345  57.1789, 54.928, 52.5144, 49.9265, 47.1515, 44.176, 40.9854,
18346  37.5642, 33.8959, 29.9624, 28.1477, 26.5642, 24.8663, 23.0457,
18347  21.0935, 19.2938, 18.1114, 16.8435, 15.4839, 14.2169, 13.3633,
18348  12.4479, 11.5171, 10.8103, 10.0525, 9.33502, 8.63522, 8.03134,
18349  7.60186, 7.08123, 6.46585, 6.02264, 5.59044, 5.13559, 4.73626,
18350  4.37455, 4.09628, 3.82377, 3.5908, 3.24606, 3.09283, 2.79305,
18351  2.50274, 2.33145, 2.12501, 1.99352, 1.80844, 1.66502, 1.54444,
18352  1.41358, 1.30814, 1.18955, 1.1057, 0.98748, 0.912864, 0.823598,
18353  0.734842, 0.665905, 0.604214, 0.522172, 0.461751, 0.385443, 0.319576,
18354  0.274538, 0.25444, 0.0, 0.0, 0.0, 622.424, 617.493,
18355  612.206, 606.537, 600.458, 593.94, 586.951, 579.456, 571.42,
18356  562.804, 553.564, 543.657, 533.034, 521.643, 509.429, 496.333,
18357  482.29, 467.232, 451.086, 433.773, 415.209, 395.303, 373.959,
18358  351.072, 326.532, 300.217, 272.002, 241.747, 209.306, 174.52,
18359  137.22, 97.2251, 57.1576, 54.9297, 52.5407, 49.9791, 47.2324,
18360  44.2871, 41.1291, 37.7428, 34.1118, 30.2184, 28.1931, 26.599,
18361  24.8896, 23.0567, 21.0914, 19.211, 18.0774, 16.862, 15.5587,
18362  14.3077, 13.5643, 12.7673, 11.9136, 11.0118, 10.0449, 9.30067,
18363  8.79696, 8.25512, 7.67049, 7.02902, 6.32218, 5.97558, 5.65467,
18364  5.11452, 4.84964, 4.52708, 4.11675, 3.79487, 3.52616, 3.26596,
18365  2.98624, 2.84774, 2.60145, 2.37659, 2.15624, 2.00722, 1.85211,
18366  1.69682, 1.54252, 1.43013, 1.3277, 1.21935, 1.09504, 0.983968,
18367  0.908867, 0.827768, 0.750489, 0.670774, 0.597096, 0.531511, 0.45219,
18368  0.391659, 0.334947, 0.271297, 0.267847, 0.0, 0.0, 0.0,
18369  615.29, 610.456, 605.272, 599.714, 593.754, 587.364, 580.512,
18370  573.164, 565.286, 556.838, 547.78, 538.067, 527.652, 516.485,
18371  504.511, 491.671, 477.903, 463.14, 447.311, 430.337, 412.137,
18372  392.622, 371.696, 349.258, 325.199, 299.4, 271.738, 242.076,
18373  210.271, 176.167, 139.599, 100.388, 58.3436, 55.6452, 53.2671,
18374  50.7172, 47.983, 45.0512, 41.9076, 38.5367, 34.9223, 31.0466,
18375  28.7812, 27.1302, 25.3598, 23.4615, 21.426, 19.4132, 18.4132,
18376  17.3409, 16.1912, 14.9969, 13.9987, 12.9283, 11.7806, 11.0727,
18377  10.3161, 9.58462, 8.91027, 8.24293, 7.69792, 7.17769, 6.7359,
18378  6.20402, 5.66739, 5.33872, 4.85753, 4.51783, 4.21536, 3.89975,
18379  3.60606, 3.31795, 3.01739, 2.78055, 2.55654, 2.38347, 2.18696,
18380  2.01732, 1.80643, 1.7276, 1.59371, 1.43137, 1.2883, 1.2084,
18381  1.08958, 0.971387, 0.91092, 0.816887, 0.767037, 0.687392, 0.597011,
18382  0.524392, 0.468121, 0.405137, 0.335395, 0.272265, 0.274513, 0.0,
18383  0.0, 0.0, 596.223, 591.563, 586.566, 581.207, 575.461,
18384  569.3, 562.694, 555.611, 548.015, 539.871, 531.138, 521.773,
18385  511.733, 500.966, 489.422, 477.043, 463.769, 449.537, 434.275,
18386  417.911, 400.365, 381.55, 361.376, 339.743, 316.548, 291.676,
18387  265.006, 236.41, 205.746, 172.867, 137.612, 99.8087, 59.2736,
18388  53.6484, 51.473, 49.1405, 46.6393, 43.9574, 41.0816, 37.9981,
18389  34.6917, 31.1463, 28.831, 27.2234, 25.4995, 23.6511, 21.6691,
18390  19.6068, 18.541, 17.3981, 16.1726, 14.8736, 13.8059, 12.6609,
18391  11.4333, 10.8778, 10.3533, 9.70755, 8.85557, 8.03433, 7.60479,
18392  7.12721, 6.57123, 6.05972, 5.58563, 5.22547, 4.81805, 4.4771,
18393  4.21643, 3.89667, 3.50613, 3.24582, 3.04075, 2.79787, 2.58229,
18394  2.33243, 2.25371, 2.0164, 1.84873, 1.74591, 1.60716, 1.44671,
18395  1.34373, 1.19385, 1.10747, 1.00076, 0.925764, 0.839054, 0.760842,
18396  0.68477, 0.603066, 0.542733, 0.47376, 0.402043, 0.335345, 0.273823,
18397  0.286581, 0.0, 0.0, 0.0, 640.982, 635.962, 630.579,
18398  624.807, 618.618, 611.982, 604.866, 597.236, 589.055, 580.282,
18399  570.875, 560.789, 549.973, 538.376, 525.941, 512.608, 498.31,
18400  482.98, 466.541, 448.915, 430.015, 409.749, 388.018, 364.717,
18401  339.732, 312.942, 284.215, 253.412, 220.384, 184.968, 146.993,
18402  106.274, 62.6122, 53.3826, 51.2991, 49.0651, 46.6696, 44.101,
18403  41.3468, 38.3936, 35.2269, 31.8313, 29.3917, 27.7534, 25.9966,
18404  24.113, 22.0932, 19.9274, 18.7411, 17.4977, 16.1645, 14.7349,
18405  13.9463, 13.1258, 12.2461, 11.3622, 10.4261, 9.55276, 8.97514,
18406  8.37387, 7.903, 7.37966, 6.74604, 6.18307, 5.69098, 5.35524,
18407  4.97173, 4.62234, 4.25556, 3.78135, 3.56698, 3.36058, 3.05329,
18408  2.81835, 2.60361, 2.41776, 2.23745, 2.06373, 1.90449, 1.74791,
18409  1.61782, 1.43986, 1.36859, 1.21439, 1.12657, 1.01809, 0.944171,
18410  0.86012, 0.747199, 0.697724, 0.609733, 0.542043, 0.486473, 0.407037,
18411  0.353968, 0.280267, 0.294474, 0.0, 0.0, 0.0, 625.165,
18412  620.335, 615.157, 609.604, 603.649, 597.265, 590.419, 583.078,
18413  575.207, 566.767, 557.717, 548.013, 537.607, 526.45, 514.486,
18414  501.658, 487.903, 473.154, 457.339, 440.38, 422.197, 402.699,
18415  381.792, 359.375, 335.337, 309.562, 281.925, 252.29, 220.514,
18416  186.441, 149.906, 110.731, 68.7241, 56.3166, 53.9379, 51.3872,
18417  48.6521, 45.7194, 42.5748, 39.2029, 35.5874, 31.7106, 28.8982,
18418  27.3746, 25.7408, 23.9889, 22.1104, 20.0962, 18.9274, 17.7893,
18419  16.5688, 15.2602, 14.2119, 13.1327, 11.9755, 11.2177, 10.5608,
18420  9.86515, 9.1563, 8.40081, 7.8211, 7.228, 6.78704, 6.29953,
18421  5.75916, 5.33875, 4.89258, 4.47727, 4.15981, 3.87448, 3.52876,
18422  3.24687, 3.05675, 2.81885, 2.6359, 2.40219, 2.21909, 2.09123,
18423  1.88597, 1.73727, 1.59614, 1.47783, 1.34668, 1.24155, 1.1393,
18424  1.02983, 0.942999, 0.859956, 0.767734, 0.68571, 0.622444, 0.570647,
18425  0.489794, 0.414104, 0.345612, 0.280025, 0.290957, 0.0, 0.0,
18426  0.0, 630.776, 625.921, 620.715, 615.134, 609.149, 602.731,
18427  595.849, 588.471, 580.559, 572.075, 562.978, 553.224, 542.765,
18428  531.55, 519.525, 506.63, 492.804, 477.978, 462.081, 445.036,
18429  426.758, 407.16, 386.145, 363.611, 339.449, 313.541, 285.761,
18430  255.973, 224.033, 189.784, 153.06, 113.682, 71.4584, 55.7767,
18431  53.4505, 50.9561, 48.2815, 45.4136, 42.3384, 39.041, 35.5053,
18432  31.7141, 28.746, 27.225, 25.5941, 23.8454, 21.9702, 19.9596,
18433  18.7324, 17.6242, 16.4359, 15.1618, 14.1913, 13.244, 12.2282,
18434  11.3507, 10.5101, 9.65405, 9.08197, 8.46856, 7.87133, 7.24533,
18435  6.76412, 6.31714, 5.95145, 5.43133, 4.98313, 4.60209, 4.19066,
18436  3.88815, 3.60853, 3.35745, 3.13731, 2.84409, 2.64267, 2.38941,
18437  2.23795, 2.05829, 1.90421, 1.75781, 1.61456, 1.50206, 1.36833,
18438  1.2273, 1.17403, 1.05882, 0.957383, 0.863303, 0.793354, 0.702369,
18439  0.62951, 0.549804, 0.499659, 0.427239, 0.353838, 0.282486, 0.282752,
18440  0.0, 0.0, 0.0, 623.911, 619.138, 614.02, 608.532,
18441  602.648, 596.338, 589.573, 582.318, 574.54, 566.199, 557.255,
18442  547.665, 537.382, 526.356, 514.532, 501.855, 488.261, 473.685,
18443  458.056, 441.297, 423.327, 404.058, 383.397, 361.243, 337.488,
18444  312.016, 284.703, 255.416, 224.013, 190.341, 154.235, 115.52,
18445  74.0065, 55.3924, 53.1138, 50.6706, 48.0508, 45.2416, 42.2295,
18446  38.9997, 35.5365, 31.823, 28.7248, 27.2624, 25.6944, 24.013,
18447  22.2101, 20.2769, 19.0109, 17.9378, 16.7871, 15.5533, 14.506,
18448  13.4843, 12.3887, 11.467, 10.6465, 9.7819, 9.20541, 8.58727,
18449  7.94583, 7.26143, 6.75098, 6.22993, 5.72012, 5.37786, 4.9968,
18450  4.53686, 4.14031, 3.86997, 3.6526, 3.53832, 3.18381, 2.91248,
18451  2.63889, 2.47132, 2.35834, 2.08686, 1.9416, 1.76877, 1.63152,
18452  1.51205, 1.35218, 1.24572, 1.13605, 1.03481, 0.930747, 0.86023,
18453  0.7936, 0.679712, 0.634778, 0.56568, 0.500875, 0.429275, 0.360397,
18454  0.294742, 0.273028, 0.0, 0.0, 0.0, 616.957, 612.278,
18455  607.261, 601.882, 596.114, 589.929, 583.297, 576.186, 568.561,
18456  560.385, 551.618, 542.218, 532.138, 521.33, 509.74, 497.313,
18457  483.988, 469.701, 454.38, 437.952, 420.338, 401.45, 381.197,
18458  359.481, 336.195, 311.227, 284.454, 255.746, 224.964, 191.957,
18459  156.565, 118.615, 77.9221, 56.5344, 54.2925, 51.8887, 49.3111,
18460  46.5473, 43.5838, 40.406, 36.9987, 33.345, 30.0568, 28.446,
18461  26.7188, 24.8668, 22.8809, 20.7516, 19.18, 17.8574, 16.4392,
18462  14.9186, 13.8512, 13.0042, 12.0959, 11.2661, 10.5069, 9.69274,
18463  9.30215, 8.90025, 8.13455, 7.22211, 6.78414, 6.37125, 5.9162,
18464  5.48179, 5.06078, 4.65861, 4.27312, 3.90751, 3.70592, 3.3911,
18465  3.19088, 2.95741, 2.65173, 2.49829, 2.3199, 2.10056, 1.92032,
18466  1.79208, 1.65004, 1.46689, 1.35732, 1.26964, 1.12048, 1.03761,
18467  0.98034, 0.875986, 0.803442, 0.712713, 0.631473, 0.576935, 0.507472,
18468  0.439459, 0.361436, 0.292921, 0.257425, 0.0, 0.0, 0.0,
18469  649.988, 645.053, 639.762, 634.089, 628.006, 621.483, 614.488,
18470  606.988, 598.947, 590.324, 581.077, 571.163, 560.532, 549.133,
18471  536.91, 523.804, 509.75, 494.681, 478.523, 461.198, 442.62,
18472  422.7, 401.34, 378.436, 353.878, 327.544, 299.308, 269.03,
18473  236.565, 201.754, 164.427, 124.402, 81.4854, 55.678, 53.4483,
18474  51.0575, 48.494, 45.7452, 42.7977, 39.6372, 36.2483, 32.6146,
18475  29.1791, 27.6929, 26.0992, 24.3904, 22.5582, 20.5935, 19.1073,
18476  17.9516, 16.7123, 15.3835, 14.2474, 13.2397, 12.1592, 11.2833,
18477  10.69, 10.0538, 9.36547, 8.62655, 7.88922, 7.12122, 6.68776,
18478  6.31562, 5.9619, 5.57005, 5.14396, 4.6925, 4.25865, 3.96456,
18479  3.68783, 3.44063, 3.17828, 2.97674, 2.64679, 2.53565, 2.3186,
18480  2.07453, 1.97502, 1.77903, 1.64462, 1.52773, 1.39074, 1.26077,
18481  1.1987, 1.06534, 0.966151, 0.880447, 0.808834, 0.72292, 0.659407,
18482  0.572296, 0.50117, 0.439048, 0.368357, 0.306536, 0.248427, 0.214277,
18483  0.0, 0.0, 633.817, 629.051, 623.94, 618.459, 612.582,
18484  606.281, 599.524, 592.28, 584.511, 576.181, 567.249, 557.672,
18485  547.402, 536.391, 524.583, 511.922, 498.347, 483.79, 468.181,
18486  451.444, 433.498, 414.255, 393.621, 371.496, 347.772, 322.333,
18487  295.057, 265.809, 234.447, 200.819, 164.761, 126.096, 84.6381,
18488  56.4563, 54.1693, 51.717, 49.0874, 46.2679, 43.2445, 40.0027,
18489  36.5266, 32.7993, 29.0787, 27.5667, 25.9455, 24.2071, 22.3431,
18490  20.3443, 18.8351, 17.8234, 16.7385, 15.5753, 14.5253, 13.5943,
18491  12.596, 11.6253, 10.7509, 9.81321, 9.22055, 8.68097, 8.05732,
18492  7.36244, 6.80305, 6.27666, 5.82633, 5.4354, 5.1079, 4.8415,
18493  4.50229, 4.02076, 3.72513, 3.48488, 3.20612, 2.92102, 2.75355,
18494  2.50726, 2.29298, 2.12403, 1.95553, 1.77821, 1.71169, 1.52836,
18495  1.39761, 1.27761, 1.17934, 1.06911, 0.972131, 0.897434, 0.817961,
18496  0.709336, 0.648173, 0.582114, 0.500265, 0.435697, 0.372854, 0.312657,
18497  0.253102, 0.220437, 0.0, 0.0};
18498 
18500 const std::initializer_list<double> BREMS_PIPI_PI0PI0_DIFF_SIG_THETA = {
18501  3.12513e-10, 1.90912e-05, 7.61316e-05, 0.000170562, 0.000300439,
18502  0.000465832, 0.000661289, 0.000891879, 0.00114105, 0.00142015,
18503  0.00171994, 0.00203419, 0.0023628, 0.00271142, 0.00305498,
18504  0.00341878, 0.0037731, 0.00412957, 0.00448711, 0.00483395,
18505  0.00516412, 0.00548735, 0.00580929, 0.00611872, 0.0064018,
18506  0.00668812, 0.00693986, 0.00718995, 0.00741077, 0.00762048,
18507  0.00781514, 0.00798082, 0.00813258, 0.00827358, 0.00837978,
18508  0.00846942, 0.00853893, 0.00859838, 0.00864989, 0.00866888,
18509  0.00867185, 0.00865695, 0.00860665, 0.00854114, 0.00849073,
18510  0.00836879, 0.0082557, 0.00812731, 0.00798352, 0.007813,
18511  0.00762746, 0.00739788, 0.00717634, 0.00693661, 0.00668282,
18512  0.00641274, 0.00611917, 0.00580837, 0.00549181, 0.00515802,
18513  0.00482602, 0.0044796, 0.00412964, 0.00377269, 0.0034158,
18514  0.00306153, 0.00271074, 0.00236814, 0.00203501, 0.00171993,
18515  0.00142055, 0.0011427, 0.000889217, 0.000661872, 0.00046521,
18516  0.00030042, 0.000170205, 7.63169e-05, 1.90957e-05, 3.11319e-10,
18517  1.734e-09, 3.58597e-05, 0.000142406, 0.000318438, 0.000561665,
18518  0.000867715, 0.00123222, 0.00164647, 0.00210904, 0.00261376,
18519  0.00314421, 0.00370634, 0.00429913, 0.00488691, 0.00550146,
18520  0.00610793, 0.00670402, 0.00731182, 0.00788286, 0.00846279,
18521  0.00901652, 0.00952464, 0.010026, 0.010517, 0.0109599,
18522  0.0113814, 0.0117937, 0.0121221, 0.0124496, 0.012748,
18523  0.0130285, 0.0132752, 0.0134996, 0.0136781, 0.0138528,
18524  0.0139544, 0.0140996, 0.0141644, 0.0142244, 0.0142734,
18525  0.0142491, 0.0142201, 0.0141589, 0.0140656, 0.0139835,
18526  0.0138518, 0.0136519, 0.0134625, 0.0132544, 0.0130164,
18527  0.0127727, 0.0124634, 0.0121222, 0.0117622, 0.0113935,
18528  0.0109675, 0.0105079, 0.0100256, 0.0095569, 0.00899139,
18529  0.00847274, 0.00790269, 0.00731586, 0.00671508, 0.00611555,
18530  0.00549654, 0.00489275, 0.00429494, 0.00371723, 0.00315137,
18531  0.00261125, 0.00210656, 0.00164578, 0.00123031, 0.000867929,
18532  0.000561124, 0.000318604, 0.000142556, 3.58457e-05, 1.73861e-09,
18533  6.10815e-09, 5.84193e-05, 0.00023318, 0.000518574, 0.000912664,
18534  0.00140407, 0.00199222, 0.00265637, 0.00339587, 0.00418154,
18535  0.00501858, 0.00588574, 0.00679141, 0.00769377, 0.00861325,
18536  0.00949959, 0.0103755, 0.0112581, 0.0120955, 0.0128945,
18537  0.0136429, 0.0143694, 0.0150842, 0.0157149, 0.0163131,
18538  0.0168657, 0.0173843, 0.0178208, 0.0182525, 0.0186328,
18539  0.0189493, 0.0192915, 0.019545, 0.0197908, 0.0200068,
18540  0.0201516, 0.0202968, 0.0203826, 0.0204636, 0.0204558,
18541  0.0205393, 0.020409, 0.0203604, 0.0203127, 0.0202299,
18542  0.0199609, 0.0198088, 0.019576, 0.0192906, 0.0190221,
18543  0.0186493, 0.0182731, 0.0178562, 0.0173704, 0.0168839,
18544  0.0163317, 0.0157248, 0.0150603, 0.0143817, 0.0136623,
18545  0.0128913, 0.0120923, 0.0112399, 0.0103927, 0.00951724,
18546  0.00860516, 0.00770925, 0.00678421, 0.00589619, 0.00502365,
18547  0.00417448, 0.00338658, 0.00265543, 0.00198966, 0.00140659,
18548  0.000913152, 0.000520225, 0.000232442, 5.8462e-05, 6.12836e-09,
18549  1.66266e-08, 8.78522e-05, 0.000349731, 0.000779386, 0.00136743,
18550  0.00210112, 0.00296294, 0.00394623, 0.00501351, 0.00617019,
18551  0.00737096, 0.00862713, 0.00989298, 0.0111524, 0.0123838,
18552  0.0136329, 0.0147725, 0.0159668, 0.0170912, 0.0181329,
18553  0.0190971, 0.020035, 0.0208832, 0.0216598, 0.0224091,
18554  0.0230317, 0.023733, 0.0242287, 0.0247032, 0.0251777,
18555  0.0256204, 0.0259866, 0.0262508, 0.0265201, 0.0267168,
18556  0.0269074, 0.0270485, 0.027131, 0.027265, 0.0272108,
18557  0.027238, 0.0272055, 0.0271424, 0.027031, 0.0269363,
18558  0.0267119, 0.0265084, 0.0262629, 0.0259661, 0.0255931,
18559  0.0252181, 0.0247647, 0.024262, 0.0237809, 0.0230926,
18560  0.0224127, 0.0217097, 0.0208956, 0.0200262, 0.0191065,
18561  0.0181653, 0.0170912, 0.0159527, 0.0148215, 0.0136255,
18562  0.0123983, 0.0111279, 0.00987373, 0.00862213, 0.00738549,
18563  0.00615982, 0.00501705, 0.00393868, 0.00296773, 0.00210428,
18564  0.00137535, 0.000778616, 0.00034968, 8.79952e-05, 1.6593e-08,
18565  3.78471e-08, 0.000125089, 0.000497072, 0.00110822, 0.00194026,
18566  0.00297329, 0.00419038, 0.00554127, 0.00702881, 0.00860833,
18567  0.0102442, 0.0119166, 0.013581, 0.0152562, 0.0169282,
18568  0.0185145, 0.0200297, 0.0214965, 0.0227543, 0.0242086,
18569  0.025348, 0.0264099, 0.0274961, 0.0284157, 0.0291916,
18570  0.0299662, 0.0306339, 0.0312923, 0.0318653, 0.0322572,
18571  0.0327393, 0.0331371, 0.0334409, 0.0336064, 0.0338991,
18572  0.0341563, 0.0342365, 0.0342966, 0.0344311, 0.0344635,
18573  0.0344636, 0.0343461, 0.0343706, 0.0342462, 0.0340556,
18574  0.0339093, 0.0336447, 0.0334232, 0.0330617, 0.0326977,
18575  0.0323069, 0.031823, 0.0312955, 0.0306468, 0.0299984,
18576  0.029272, 0.0283784, 0.0274206, 0.0264138, 0.0253323,
18577  0.0241476, 0.0228301, 0.0214936, 0.0200503, 0.0185002,
18578  0.01688, 0.0152757, 0.01358, 0.0119014, 0.0102389,
18579  0.00860162, 0.00703636, 0.00554867, 0.00418058, 0.0029731,
18580  0.00193851, 0.00110769, 0.000497679, 0.000125072, 3.78955e-08,
18581  7.65232e-08, 0.000171461, 0.000680228, 0.00151327, 0.00264522,
18582  0.00404453, 0.00567354, 0.00750056, 0.00947343, 0.0115284,
18583  0.0136947, 0.0158613, 0.0179833, 0.0201132, 0.0221618,
18584  0.0241363, 0.0260257, 0.0277908, 0.0293699, 0.0308724,
18585  0.0322687, 0.0335374, 0.0347041, 0.0357191, 0.0366979,
18586  0.0374783, 0.0383005, 0.038866, 0.0394559, 0.0399344,
18587  0.0403264, 0.0406848, 0.0410135, 0.0412266, 0.0415908,
18588  0.0416282, 0.0417841, 0.041921, 0.0420136, 0.0420914,
18589  0.0420396, 0.0420964, 0.0419271, 0.0418413, 0.0417216,
18590  0.0415649, 0.0413079, 0.041031, 0.0407599, 0.0403321,
18591  0.0399485, 0.0394074, 0.0388645, 0.0382033, 0.0375046,
18592  0.036681, 0.0357235, 0.0346703, 0.0335455, 0.0323179,
18593  0.0308812, 0.0293542, 0.0277293, 0.025984, 0.0241337,
18594  0.0221811, 0.0201146, 0.0179967, 0.0158342, 0.0136949,
18595  0.0115509, 0.00946691, 0.00748226, 0.00568235, 0.00404743,
18596  0.00264606, 0.00151103, 0.000680487, 0.000171805, 7.63478e-08,
18597  1.40659e-07, 0.00022791, 0.000903062, 0.00200493, 0.00348881,
18598  0.00533029, 0.00746983, 0.00983765, 0.0123739, 0.01503,
18599  0.0177421, 0.0204317, 0.0230917, 0.0257061, 0.0281663,
18600  0.0304661, 0.0327909, 0.0348476, 0.0366737, 0.038445,
18601  0.0399527, 0.0413056, 0.0425585, 0.0437078, 0.0446725,
18602  0.0455266, 0.0462366, 0.0469283, 0.0473893, 0.0479997,
18603  0.0483239, 0.0487936, 0.0489984, 0.0493191, 0.0494918,
18604  0.0496283, 0.0497183, 0.0497896, 0.0498472, 0.0498327,
18605  0.0498312, 0.0498582, 0.0499097, 0.0497576, 0.0496542,
18606  0.0494312, 0.0492077, 0.0489946, 0.0488074, 0.0483254,
18607  0.0481759, 0.0475197, 0.0468833, 0.0463514, 0.0455178,
18608  0.0446729, 0.0437593, 0.0426108, 0.0413296, 0.0398783,
18609  0.0383905, 0.0366849, 0.0348229, 0.0327327, 0.0305326,
18610  0.0281953, 0.0256683, 0.0231209, 0.0204407, 0.0176831,
18611  0.0150023, 0.0123594, 0.00983987, 0.0074738, 0.00533723,
18612  0.00349893, 0.00200626, 0.000903539, 0.000227393, 1.40891e-07,
18613  2.41193e-07, 0.000294918, 0.00117017, 0.00259383, 0.00450797,
18614  0.0068769, 0.00956761, 0.012579, 0.0157545, 0.0190502,
18615  0.0224154, 0.0257059, 0.0289341, 0.032027, 0.0349471,
18616  0.0377282, 0.0402772, 0.0426157, 0.0446328, 0.0465904,
18617  0.0483952, 0.0497286, 0.0511295, 0.0522013, 0.0532229,
18618  0.054008, 0.0548453, 0.0554542, 0.0558516, 0.0562954,
18619  0.0567026, 0.0570145, 0.0572445, 0.0575266, 0.0576243,
18620  0.0577589, 0.0578454, 0.057932, 0.0579777, 0.0580563,
18621  0.0579991, 0.057898, 0.0578961, 0.0579396, 0.0578363,
18622  0.0577013, 0.0575244, 0.0572891, 0.0570382, 0.0567774,
18623  0.0564315, 0.0558073, 0.0554005, 0.0548621, 0.0540381,
18624  0.0533109, 0.0522284, 0.0511848, 0.0496844, 0.048248,
18625  0.0466499, 0.0446, 0.0425437, 0.0402657, 0.0376937,
18626  0.0349626, 0.0320164, 0.02893, 0.0256626, 0.0223892,
18627  0.0190762, 0.0157554, 0.0125788, 0.00957036, 0.00686523,
18628  0.0045077, 0.00259235, 0.00116681, 0.000295093, 2.41046e-07,
18629  3.90155e-07, 0.000375493, 0.00148611, 0.00328885, 0.00570424,
18630  0.00865546, 0.0120525, 0.0157389, 0.0196908, 0.0237048,
18631  0.0277547, 0.0316931, 0.0355377, 0.0391401, 0.0424712,
18632  0.0457348, 0.0485427, 0.0509701, 0.0532781, 0.0554703,
18633  0.0571716, 0.0586835, 0.0600646, 0.0611509, 0.0621705,
18634  0.0629434, 0.0636656, 0.0642311, 0.0647375, 0.065155,
18635  0.065372, 0.0656778, 0.0658341, 0.065918, 0.0660293,
18636  0.0661201, 0.0663249, 0.0659611, 0.0662128, 0.0662398,
18637  0.0663188, 0.0662848, 0.0663294, 0.0661605, 0.066119,
18638  0.0659416, 0.0659008, 0.0657514, 0.0657014, 0.0654524,
18639  0.0649834, 0.0647276, 0.0641434, 0.0636912, 0.0630148,
18640  0.0621416, 0.0612314, 0.0600208, 0.0587114, 0.0571095,
18641  0.0554012, 0.0533418, 0.051083, 0.0484932, 0.0456566,
18642  0.0425246, 0.0391237, 0.0355369, 0.0317041, 0.0277048,
18643  0.0236593, 0.0197339, 0.0157685, 0.0120516, 0.00865649,
18644  0.00570412, 0.00328561, 0.0014838, 0.000375984, 3.90639e-07,
18645  6.06949e-07, 0.000469439, 0.00185418, 0.00409243, 0.00708445,
18646  0.0107478, 0.0148857, 0.0194023, 0.0240867, 0.0289854,
18647  0.0337563, 0.0383493, 0.0428281, 0.0469611, 0.0508134,
18648  0.0542814, 0.0573997, 0.060182, 0.0626933, 0.0647878,
18649  0.0665956, 0.0682222, 0.0694195, 0.0706138, 0.0715403,
18650  0.0722149, 0.0729005, 0.0733607, 0.0737229, 0.0740741,
18651  0.0742796, 0.0744036, 0.074561, 0.0744646, 0.0745919,
18652  0.0746037, 0.0745713, 0.0746464, 0.0746754, 0.0746914,
18653  0.0746472, 0.0746015, 0.0745328, 0.0746278, 0.0747258,
18654  0.0747265, 0.0744779, 0.0744451, 0.0744444, 0.0742609,
18655  0.0740051, 0.0737462, 0.073337, 0.0729439, 0.072256,
18656  0.0715106, 0.0706279, 0.0694596, 0.0682112, 0.066734,
18657  0.0648362, 0.0626422, 0.0603128, 0.0575141, 0.0543321,
18658  0.0508458, 0.0469092, 0.0428254, 0.0384019, 0.033738,
18659  0.0289667, 0.0241133, 0.0194276, 0.0148859, 0.010755,
18660  0.00709684, 0.00409319, 0.00185273, 0.000469039, 6.06758e-07,
18661  9.0291e-07, 0.000576826, 0.00228518, 0.00505919, 0.00869698,
18662  0.0131387, 0.0181433, 0.0235574, 0.0292351, 0.0348773,
18663  0.0404457, 0.0457756, 0.0507901, 0.0555873, 0.0598049,
18664  0.0636054, 0.0671996, 0.0700757, 0.07247, 0.0748032,
18665  0.0766582, 0.078254, 0.0795008, 0.08039, 0.0814081,
18666  0.0820392, 0.0822908, 0.0827881, 0.0830214, 0.0832563,
18667  0.0832548, 0.0832639, 0.0833589, 0.0833188, 0.0832304,
18668  0.0832395, 0.0832308, 0.0830687, 0.0831888, 0.0831564,
18669  0.083042, 0.0832094, 0.0831411, 0.0832574, 0.0831934,
18670  0.0833596, 0.0831953, 0.0832323, 0.0832002, 0.0832105,
18671  0.0834062, 0.082965, 0.0828529, 0.0823236, 0.0820338,
18672  0.0813002, 0.0804396, 0.0797464, 0.078278, 0.0767078,
18673  0.0748489, 0.0726598, 0.0700971, 0.0670348, 0.0636797,
18674  0.059723, 0.0555522, 0.0507368, 0.0458294, 0.0404358,
18675  0.0348991, 0.0291572, 0.0235607, 0.0181438, 0.0131355,
18676  0.00870949, 0.00503196, 0.00228145, 0.000577966, 9.02254e-07,
18677  1.3026e-06, 0.000703259, 0.00276871, 0.00609763, 0.0105168,
18678  0.0158495, 0.0218473, 0.0283583, 0.0348892, 0.0415214,
18679  0.047872, 0.0539935, 0.0598236, 0.0649346, 0.0695049,
18680  0.0737008, 0.0774384, 0.0805746, 0.0831633, 0.0852044,
18681  0.087175, 0.0886937, 0.0897839, 0.0907104, 0.0914063,
18682  0.09173, 0.0921998, 0.0923935, 0.0925548, 0.092421,
18683  0.0924373, 0.0922406, 0.0921563, 0.0920366, 0.0919531,
18684  0.0919138, 0.09195, 0.09178, 0.0917384, 0.0917087,
18685  0.0917251, 0.0915424, 0.0918055, 0.0918109, 0.0919912,
18686  0.0920522, 0.0920526, 0.0922314, 0.0923031, 0.0925067,
18687  0.0925388, 0.0922654, 0.0924046, 0.0921369, 0.0917274,
18688  0.0911905, 0.0908454, 0.0896923, 0.0886861, 0.0873366,
18689  0.0853744, 0.0832754, 0.0805727, 0.0773575, 0.0737321,
18690  0.0696315, 0.0649381, 0.0597054, 0.0540038, 0.0479609,
18691  0.0415134, 0.0348895, 0.0282472, 0.0218682, 0.0158159,
18692  0.0105489, 0.00609847, 0.00277599, 0.000701974, 1.29976e-06,
18693  1.8258e-06, 0.000845409, 0.00333042, 0.00732535, 0.0126189,
18694  0.0189193, 0.025995, 0.0335508, 0.0411847, 0.0488485,
18695  0.0560876, 0.0629839, 0.0692918, 0.0749633, 0.0800118,
18696  0.0844547, 0.0880409, 0.0915996, 0.0942562, 0.0963838,
18697  0.0979144, 0.0994335, 0.1003, 0.101262, 0.101875,
18698  0.101968, 0.10203, 0.10229, 0.101931, 0.101635,
18699  0.101787, 0.101237, 0.101268, 0.100974, 0.100749,
18700  0.100771, 0.100608, 0.100179, 0.100285, 0.100108,
18701  0.100175, 0.100251, 0.100413, 0.100474, 0.100512,
18702  0.100828, 0.101192, 0.101102, 0.101366, 0.101603,
18703  0.101854, 0.101904, 0.102082, 0.10208, 0.101945,
18704  0.101798, 0.101112, 0.100578, 0.0995349, 0.0980452,
18705  0.0964731, 0.0941494, 0.0915432, 0.0884844, 0.0843678,
18706  0.080186, 0.0751254, 0.0693631, 0.063022, 0.0559782,
18707  0.0487437, 0.0411855, 0.0335693, 0.0259912, 0.0189354,
18708  0.0126168, 0.00732154, 0.00332709, 0.000845901, 1.82517e-06,
18709  2.50667e-06, 0.00100888, 0.00395992, 0.00868886, 0.0149492,
18710  0.0223493, 0.030552, 0.0392595, 0.0481, 0.0568563,
18711  0.0650768, 0.0727079, 0.0797289, 0.0857859, 0.091412,
18712  0.0959286, 0.0998213, 0.103051, 0.105508, 0.107757,
18713  0.109417, 0.11054, 0.111188, 0.111756, 0.112158,
18714  0.112079, 0.111911, 0.112025, 0.111463, 0.111159,
18715  0.111019, 0.110387, 0.110128, 0.109874, 0.109553,
18716  0.109279, 0.108952, 0.108731, 0.108812, 0.10883,
18717  0.108885, 0.108831, 0.108853, 0.109187, 0.109267,
18718  0.109599, 0.109792, 0.110188, 0.110661, 0.111128,
18719  0.111185, 0.111633, 0.111811, 0.112054, 0.112083,
18720  0.111895, 0.111716, 0.111159, 0.110425, 0.109324,
18721  0.107734, 0.105493, 0.103115, 0.0997756, 0.0958653,
18722  0.0912606, 0.0857554, 0.0797277, 0.0725314, 0.0650326,
18723  0.0568003, 0.0481359, 0.0392286, 0.0306134, 0.022365,
18724  0.0149037, 0.00869752, 0.00396244, 0.00100776, 2.5095e-06,
18725  3.3608e-06, 0.0011911, 0.00467262, 0.0102352, 0.0175366,
18726  0.0262233, 0.0356638, 0.0456909, 0.0557715, 0.0655577,
18727  0.074778, 0.083188, 0.0908126, 0.0973832, 0.103105,
18728  0.107879, 0.11184, 0.11505, 0.117464, 0.119511,
18729  0.12098, 0.121771, 0.122254, 0.12243, 0.122637,
18730  0.122476, 0.122214, 0.121931, 0.121429, 0.120906,
18731  0.120231, 0.119431, 0.119083, 0.11858, 0.118122,
18732  0.117908, 0.117928, 0.117285, 0.117259, 0.117242,
18733  0.117285, 0.117247, 0.117429, 0.117537, 0.117871,
18734  0.118348, 0.11862, 0.119286, 0.119681, 0.119986,
18735  0.120735, 0.121261, 0.121656, 0.122032, 0.12252,
18736  0.122541, 0.122457, 0.122149, 0.121797, 0.120711,
18737  0.119573, 0.117687, 0.115159, 0.111728, 0.107785,
18738  0.103113, 0.0972914, 0.0906868, 0.0831392, 0.0747563,
18739  0.0655531, 0.0558764, 0.0458255, 0.0357088, 0.0262266,
18740  0.0175875, 0.0102496, 0.00467304, 0.00118675, 3.36849e-06,
18741  4.45165e-06, 0.00139425, 0.00547446, 0.0119574, 0.0204423,
18742  0.0304671, 0.0413776, 0.0527237, 0.064087, 0.0749694,
18743  0.085331, 0.0941521, 0.102532, 0.109426, 0.115283,
18744  0.120379, 0.124539, 0.127572, 0.129882, 0.131776,
18745  0.132594, 0.133337, 0.133743, 0.133548, 0.133448,
18746  0.132743, 0.132293, 0.131793, 0.131016, 0.130006,
18747  0.129428, 0.128966, 0.128306, 0.127345, 0.126924,
18748  0.12642, 0.126267, 0.125825, 0.125458, 0.125267,
18749  0.125404, 0.12572, 0.125789, 0.126126, 0.126469,
18750  0.127125, 0.12759, 0.127968, 0.128364, 0.129399,
18751  0.129987, 0.131035, 0.131772, 0.132296, 0.132806,
18752  0.133516, 0.133757, 0.133714, 0.133283, 0.132697,
18753  0.131295, 0.129849, 0.127702, 0.124356, 0.120546,
18754  0.115346, 0.109424, 0.10227, 0.0943481, 0.0850175,
18755  0.0749549, 0.0640805, 0.052811, 0.0413959, 0.030459,
18756  0.020463, 0.011965, 0.00546585, 0.00139541, 4.43979e-06,
18757  5.7453e-06, 0.00162808, 0.00635467, 0.0138568, 0.0236837,
18758  0.0351579, 0.0476543, 0.0603174, 0.0731784, 0.0852093,
18759  0.0961402, 0.106268, 0.115154, 0.122324, 0.128517,
18760  0.133322, 0.137286, 0.140175, 0.142245, 0.144082,
18761  0.144583, 0.144835, 0.145041, 0.144432, 0.144164,
18762  0.143068, 0.142339, 0.141642, 0.140707, 0.139227,
18763  0.138736, 0.137566, 0.136976, 0.136243, 0.13549,
18764  0.13504, 0.13458, 0.134445, 0.134001, 0.133828,
18765  0.133767, 0.134015, 0.134304, 0.134756, 0.135014,
18766  0.13571, 0.136415, 0.136788, 0.137836, 0.13829,
18767  0.13953, 0.140509, 0.141418, 0.142436, 0.143419,
18768  0.14368, 0.144743, 0.144766, 0.144869, 0.14498,
18769  0.14395, 0.142485, 0.140237, 0.137189, 0.133392,
18770  0.128694, 0.122295, 0.114895, 0.106483, 0.0964643,
18771  0.0850183, 0.0731182, 0.0605344, 0.0476314, 0.0350513,
18772  0.0236577, 0.0138887, 0.0063687, 0.00162163, 5.75224e-06,
18773  7.34842e-06, 0.00187763, 0.00734099, 0.0159984, 0.0272982,
18774  0.0402436, 0.0544144, 0.0687576, 0.0826108, 0.0960674,
18775  0.108036, 0.11871, 0.128171, 0.13562, 0.142081,
18776  0.146673, 0.150619, 0.153413, 0.155227, 0.156249,
18777  0.156623, 0.156913, 0.156368, 0.155683, 0.155081,
18778  0.153692, 0.15294, 0.151576, 0.15019, 0.148924,
18779  0.147725, 0.146825, 0.145854, 0.144891, 0.144284,
18780  0.143539, 0.142921, 0.142082, 0.142226, 0.141984,
18781  0.142015, 0.141922, 0.142583, 0.142457, 0.143733,
18782  0.144009, 0.144924, 0.145809, 0.146665, 0.147623,
18783  0.149081, 0.149957, 0.15155, 0.152639, 0.153652,
18784  0.154772, 0.156013, 0.156333, 0.156929, 0.156831,
18785  0.156157, 0.155081, 0.153467, 0.150427, 0.146835,
18786  0.141923, 0.135653, 0.127998, 0.118614, 0.108163,
18787  0.0959576, 0.0827812, 0.0687991, 0.0542535, 0.0402242,
18788  0.0272211, 0.0159978, 0.00733866, 0.00187772, 7.35986e-06,
18789  9.2514e-06, 0.00215321, 0.0084282, 0.0182733, 0.031076,
18790  0.0458255, 0.0616302, 0.0777556, 0.0932667, 0.107853,
18791  0.120785, 0.132149, 0.141512, 0.149884, 0.155521,
18792  0.160875, 0.164491, 0.166899, 0.168082, 0.16908,
18793  0.169067, 0.168699, 0.168169, 0.166965, 0.165502,
18794  0.16419, 0.162852, 0.161289, 0.159242, 0.158234,
18795  0.156986, 0.15487, 0.154424, 0.15328, 0.152539,
18796  0.151482, 0.150722, 0.150887, 0.150208, 0.150105,
18797  0.149982, 0.150213, 0.150303, 0.151114, 0.151565,
18798  0.152413, 0.153319, 0.154277, 0.155241, 0.156856,
18799  0.158079, 0.159085, 0.161066, 0.162624, 0.164328,
18800  0.165519, 0.166622, 0.167699, 0.16896, 0.169492,
18801  0.169401, 0.168453, 0.166568, 0.164237, 0.160776,
18802  0.155989, 0.149473, 0.141758, 0.131616, 0.120698,
18803  0.107646, 0.0930943, 0.0775874, 0.0616333, 0.045744,
18804  0.0310551, 0.0182974, 0.00842077, 0.00215609, 9.27123e-06,
18805  1.15692e-05, 0.00246393, 0.00956723, 0.0208369, 0.0353179,
18806  0.0519032, 0.0695667, 0.0875098, 0.104246, 0.120234,
18807  0.133842, 0.145997, 0.156213, 0.163846, 0.17043,
18808  0.174685, 0.178476, 0.180509, 0.181907, 0.18202,
18809  0.181636, 0.180534, 0.179731, 0.17827, 0.176468,
18810  0.174179, 0.172471, 0.170737, 0.169116, 0.166651,
18811  0.165599, 0.164102, 0.162905, 0.161612, 0.160762,
18812  0.159703, 0.158851, 0.158712, 0.158278, 0.157868,
18813  0.158126, 0.158276, 0.158804, 0.158713, 0.159858,
18814  0.160652, 0.161696, 0.162977, 0.16436, 0.165686,
18815  0.167183, 0.169268, 0.170427, 0.172727, 0.174305,
18816  0.176431, 0.178056, 0.179526, 0.180542, 0.181741,
18817  0.181844, 0.18142, 0.18052, 0.178429, 0.175141,
18818  0.170499, 0.164303, 0.156066, 0.145972, 0.134258,
18819  0.119965, 0.104358, 0.0875147, 0.0695305, 0.0519325,
18820  0.0352582, 0.0208719, 0.00961532, 0.00246417, 1.15003e-05,
18821  1.42127e-05, 0.00281134, 0.010892, 0.0236239, 0.039865,
18822  0.0583483, 0.0778269, 0.0977802, 0.116245, 0.13321,
18823  0.148088, 0.160363, 0.170639, 0.179393, 0.18527,
18824  0.189907, 0.192823, 0.194501, 0.194868, 0.194997,
18825  0.194255, 0.193164, 0.191247, 0.188944, 0.186786,
18826  0.18465, 0.182809, 0.180675, 0.178335, 0.176714,
18827  0.174514, 0.172764, 0.17145, 0.169842, 0.168767,
18828  0.167899, 0.16713, 0.16639, 0.165893, 0.16606,
18829  0.165709, 0.166066, 0.166318, 0.166736, 0.168093,
18830  0.168519, 0.169967, 0.171154, 0.172888, 0.174346,
18831  0.176618, 0.178281, 0.179932, 0.182904, 0.184452,
18832  0.187278, 0.189281, 0.190764, 0.192402, 0.193842,
18833  0.195012, 0.194977, 0.194571, 0.192668, 0.189491,
18834  0.185259, 0.179203, 0.170736, 0.160567, 0.148049,
18835  0.132967, 0.116015, 0.0975926, 0.0779924, 0.0583762,
18836  0.03986, 0.0236502, 0.0109095, 0.00279948, 1.42059e-05,
18837  1.7328e-05, 0.00317459, 0.0123074, 0.0266259, 0.0448559,
18838  0.0655832, 0.0871677, 0.108422, 0.128779, 0.14694,
18839  0.16262, 0.175769, 0.186326, 0.194376, 0.200608,
18840  0.20477, 0.20686, 0.208261, 0.208622, 0.207809,
18841  0.206296, 0.204611, 0.202282, 0.199995, 0.197528,
18842  0.194724, 0.192579, 0.19, 0.187165, 0.185204,
18843  0.183418, 0.181328, 0.179741, 0.178302, 0.176723,
18844  0.175589, 0.174552, 0.17437, 0.173813, 0.17315,
18845  0.173523, 0.173739, 0.173994, 0.174637, 0.175609,
18846  0.176776, 0.177996, 0.179785, 0.180839, 0.183244,
18847  0.184882, 0.187483, 0.189562, 0.192402, 0.19506,
18848  0.197689, 0.199825, 0.202253, 0.204465, 0.205902,
18849  0.207742, 0.208636, 0.208286, 0.207135, 0.204322,
18850  0.200524, 0.19435, 0.186574, 0.175599, 0.162133,
18851  0.146999, 0.128768, 0.108511, 0.0871467, 0.0655569,
18852  0.0447247, 0.0265865, 0.0123323, 0.00316351, 1.72658e-05,
18853  2.10347e-05, 0.00357145, 0.0138545, 0.0298555, 0.0501831,
18854  0.0732432, 0.0967697, 0.120451, 0.142141, 0.1612,
18855  0.17797, 0.191723, 0.201939, 0.210086, 0.215811,
18856  0.220214, 0.221911, 0.222161, 0.221684, 0.22085,
18857  0.218836, 0.216466, 0.213906, 0.210969, 0.207992,
18858  0.20516, 0.20214, 0.199389, 0.196484, 0.19414,
18859  0.191814, 0.18928, 0.187668, 0.185802, 0.18415,
18860  0.183316, 0.182379, 0.181361, 0.180995, 0.180929,
18861  0.180993, 0.180963, 0.181576, 0.182302, 0.183146,
18862  0.184448, 0.186013, 0.187344, 0.189871, 0.191471,
18863  0.194211, 0.196474, 0.199489, 0.20206, 0.205139,
18864  0.208177, 0.210864, 0.213838, 0.216815, 0.21908,
18865  0.220911, 0.221925, 0.22237, 0.221822, 0.219657,
18866  0.216539, 0.210344, 0.202128, 0.191636, 0.1777,
18867  0.161128, 0.142322, 0.120376, 0.0966344, 0.0730755,
18868  0.0502022, 0.0298931, 0.0138773, 0.00356633, 2.08537e-05,
18869  2.50883e-05, 0.00400278, 0.0155089, 0.0333923, 0.0560335,
18870  0.0812445, 0.10733, 0.13275, 0.156034, 0.176469,
18871  0.193657, 0.207726, 0.21873, 0.22615, 0.231996,
18872  0.235403, 0.236913, 0.236509, 0.235414, 0.233674,
18873  0.231709, 0.228953, 0.22484, 0.221563, 0.218186,
18874  0.215454, 0.211553, 0.208564, 0.205708, 0.202819,
18875  0.200134, 0.197687, 0.195388, 0.193906, 0.192179,
18876  0.190909, 0.189466, 0.189114, 0.188361, 0.188138,
18877  0.18843, 0.188385, 0.18861, 0.189859, 0.191179,
18878  0.192021, 0.193909, 0.195457, 0.19801, 0.199807,
18879  0.202907, 0.205365, 0.20834, 0.211282, 0.214576,
18880  0.21832, 0.221764, 0.225621, 0.228431, 0.231475,
18881  0.233825, 0.235907, 0.23694, 0.236645, 0.235733,
18882  0.231706, 0.22666, 0.218731, 0.208121, 0.193539,
18883  0.176393, 0.155788, 0.13239, 0.107415, 0.0813849,
18884  0.0558626, 0.0333559, 0.01556, 0.00400717, 2.50963e-05,
18885  2.98908e-05, 0.00448132, 0.0173168, 0.0372417, 0.0621484,
18886  0.090098, 0.118323, 0.145516, 0.170533, 0.191999,
18887  0.210175, 0.224239, 0.235191, 0.242942, 0.247655,
18888  0.251054, 0.2517, 0.251462, 0.249328, 0.247148,
18889  0.243835, 0.240364, 0.236305, 0.232566, 0.228525,
18890  0.225007, 0.221288, 0.217368, 0.214187, 0.211195,
18891  0.208103, 0.205691, 0.203694, 0.201304, 0.199605,
18892  0.19797, 0.197117, 0.196074, 0.195668, 0.195473,
18893  0.195542, 0.195261, 0.195832, 0.197219, 0.198514,
18894  0.199293, 0.201278, 0.203382, 0.20567, 0.207974,
18895  0.210843, 0.214184, 0.217487, 0.22085, 0.224912,
18896  0.22878, 0.232609, 0.236466, 0.240163, 0.243037,
18897  0.246574, 0.249519, 0.251021, 0.251572, 0.250402,
18898  0.248117, 0.243043, 0.235647, 0.224334, 0.210276,
18899  0.192345, 0.170744, 0.145677, 0.118386, 0.0900641,
18900  0.0621667, 0.0372211, 0.0173394, 0.00448441, 2.99097e-05,
18901  3.52426e-05, 0.0049915, 0.0192462, 0.0413021, 0.0687397,
18902  0.0993111, 0.130433, 0.159535, 0.186726, 0.208919,
18903  0.227278, 0.242233, 0.252876, 0.260007, 0.264657,
18904  0.267005, 0.267104, 0.265276, 0.26319, 0.259747,
18905  0.255543, 0.252107, 0.247414, 0.242987, 0.238824,
18906  0.234537, 0.230261, 0.226335, 0.222729, 0.219218,
18907  0.216538, 0.213543, 0.21091, 0.20851, 0.206974,
18908  0.205476, 0.203807, 0.202994, 0.202407, 0.202117,
18909  0.20207, 0.202456, 0.203137, 0.204097, 0.205373,
18910  0.206596, 0.208411, 0.211192, 0.213213, 0.216721,
18911  0.219822, 0.222797, 0.22653, 0.230587, 0.234373,
18912  0.238656, 0.244112, 0.247745, 0.252492, 0.255993,
18913  0.259825, 0.262639, 0.265806, 0.267092, 0.267377,
18914  0.264384, 0.259802, 0.252441, 0.242404, 0.227445,
18915  0.209011, 0.185977, 0.159441, 0.130102, 0.0987472,
18916  0.0691061, 0.0412861, 0.0191601, 0.00498205, 3.53608e-05,
18917  4.12899e-05, 0.0055346, 0.0213614, 0.0457836, 0.0758838,
18918  0.109212, 0.142745, 0.173715, 0.202185, 0.225561,
18919  0.245175, 0.259446, 0.270534, 0.27699, 0.280899,
18920  0.282307, 0.282636, 0.27976, 0.276719, 0.273091,
18921  0.268403, 0.263632, 0.258488, 0.253458, 0.248495,
18922  0.244171, 0.239584, 0.235235, 0.230985, 0.227484,
18923  0.223953, 0.221407, 0.218346, 0.215916, 0.214171,
18924  0.212274, 0.211077, 0.210243, 0.209169, 0.209285,
18925  0.209397, 0.209329, 0.209816, 0.21128, 0.212676,
18926  0.214204, 0.216189, 0.218136, 0.2213, 0.223741,
18927  0.227064, 0.231181, 0.235295, 0.23935, 0.244161,
18928  0.24868, 0.25387, 0.258805, 0.26388, 0.268241,
18929  0.273416, 0.277028, 0.279611, 0.282201, 0.282571,
18930  0.281363, 0.277063, 0.270376, 0.25982, 0.244883,
18931  0.22578, 0.201778, 0.174213, 0.142524, 0.109177,
18932  0.0757457, 0.0457409, 0.0213531, 0.00554733, 4.12442e-05,
18933  4.8219e-05, 0.0061334, 0.0236015, 0.0504622, 0.0835312,
18934  0.119674, 0.155297, 0.189334, 0.2189, 0.243967,
18935  0.263269, 0.278448, 0.288421, 0.29419, 0.298619,
18936  0.29925, 0.297573, 0.29475, 0.290741, 0.285696,
18937  0.280482, 0.275157, 0.269334, 0.263756, 0.258431,
18938  0.253339, 0.248337, 0.243744, 0.239188, 0.235271,
18939  0.231861, 0.228628, 0.225523, 0.223251, 0.221157,
18940  0.219099, 0.217992, 0.216251, 0.2157, 0.215678,
18941  0.215822, 0.21574, 0.216333, 0.217651, 0.219137,
18942  0.221123, 0.222804, 0.225811, 0.227963, 0.231911,
18943  0.235505, 0.239489, 0.243926, 0.248388, 0.253603,
18944  0.258717, 0.264068, 0.269622, 0.27545, 0.280523,
18945  0.285951, 0.290627, 0.294861, 0.297245, 0.298914,
18946  0.297951, 0.294979, 0.288284, 0.27749, 0.263326,
18947  0.243561, 0.219115, 0.189058, 0.155597, 0.119531,
18948  0.0833589, 0.0504325, 0.0236394, 0.00614331, 4.828e-05,
18949  5.59065e-05, 0.00677769, 0.0260497, 0.0554062, 0.0913487,
18950  0.130552, 0.169317, 0.204926, 0.236418, 0.261878,
18951  0.281539, 0.297252, 0.306944, 0.312084, 0.314495,
18952  0.314842, 0.312229, 0.308508, 0.303979, 0.298222,
18953  0.29309, 0.286304, 0.28047, 0.27481, 0.268492,
18954  0.26276, 0.256832, 0.252157, 0.247549, 0.243848,
18955  0.239776, 0.23632, 0.233301, 0.229933, 0.227797,
18956  0.225956, 0.224499, 0.223153, 0.222476, 0.222147,
18957  0.222409, 0.222308, 0.222989, 0.224128, 0.225674,
18958  0.227938, 0.230447, 0.232798, 0.23596, 0.239184,
18959  0.243461, 0.247299, 0.25181, 0.257226, 0.262178,
18960  0.267757, 0.274393, 0.280142, 0.286584, 0.292305,
18961  0.298632, 0.304337, 0.308219, 0.313061, 0.314742,
18962  0.3151, 0.31211, 0.306365, 0.296452, 0.281321,
18963  0.261952, 0.236303, 0.205276, 0.16917, 0.130621,
18964  0.0914353, 0.055455, 0.026041, 0.00680034, 5.60075e-05,
18965  6.44038e-05, 0.00742404, 0.0286617, 0.0606907, 0.10013,
18966  0.142022, 0.183782, 0.221931, 0.254839, 0.280835,
18967  0.301624, 0.316348, 0.325827, 0.330206, 0.332081,
18968  0.33127, 0.328336, 0.323303, 0.317816, 0.311257,
18969  0.305178, 0.297957, 0.291537, 0.28445, 0.278285,
18970  0.271723, 0.265859, 0.260407, 0.254555, 0.251064,
18971  0.246749, 0.243449, 0.239938, 0.236514, 0.235105,
18972  0.232669, 0.231027, 0.229805, 0.229112, 0.228816,
18973  0.228387, 0.228884, 0.230047, 0.231405, 0.231968,
18974  0.234826, 0.237025, 0.240008, 0.243005, 0.246818,
18975  0.251156, 0.255841, 0.260554, 0.265902, 0.271589,
18976  0.277031, 0.284076, 0.290504, 0.297771, 0.30439,
18977  0.311674, 0.317207, 0.322864, 0.3281, 0.33158,
18978  0.331841, 0.330403, 0.325269, 0.315823, 0.301504,
18979  0.28166, 0.254084, 0.221891, 0.184026, 0.142418,
18980  0.0999898, 0.0607715, 0.0286303, 0.00745282, 6.44721e-05,
18981  7.36917e-05, 0.00817898, 0.0313612, 0.066453, 0.108889,
18982  0.154858, 0.198785, 0.238888, 0.272816, 0.300468,
18983  0.32126, 0.335729, 0.3444, 0.349366, 0.349532,
18984  0.347475, 0.343572, 0.33793, 0.331143, 0.324069,
18985  0.31642, 0.308942, 0.301708, 0.294252, 0.287347,
18986  0.280697, 0.274715, 0.268836, 0.263278, 0.258221,
18987  0.254271, 0.250235, 0.247055, 0.244164, 0.242033,
18988  0.239156, 0.237308, 0.236079, 0.235559, 0.235072,
18989  0.234907, 0.235237, 0.236435, 0.237362, 0.239183,
18990  0.240116, 0.243985, 0.246734, 0.250662, 0.253539,
18991  0.258444, 0.263524, 0.268609, 0.274719, 0.28079,
18992  0.286964, 0.294241, 0.301518, 0.309064, 0.316727,
18993  0.324413, 0.330433, 0.337753, 0.343402, 0.347223,
18994  0.349326, 0.347864, 0.344448, 0.335526, 0.321105,
18995  0.300459, 0.273481, 0.239373, 0.198713, 0.154897,
18996  0.109145, 0.0664793, 0.0313683, 0.00818962, 7.39349e-05,
18997  8.39789e-05, 0.00898052, 0.0343451, 0.0725252, 0.118824,
18998  0.167523, 0.214737, 0.257698, 0.292619, 0.320815,
18999  0.341697, 0.356067, 0.364272, 0.366769, 0.366884,
19000  0.363349, 0.35889, 0.352266, 0.344229, 0.33664,
19001  0.328956, 0.320229, 0.311475, 0.304489, 0.296203,
19002  0.289407, 0.283024, 0.277063, 0.271373, 0.266112,
19003  0.262006, 0.25729, 0.253551, 0.249982, 0.247519,
19004  0.245485, 0.244055, 0.243281, 0.241759, 0.241166,
19005  0.240891, 0.241269, 0.242116, 0.243824, 0.245494,
19006  0.247921, 0.250589, 0.253666, 0.257375, 0.261025,
19007  0.266044, 0.270888, 0.277213, 0.283181, 0.290013,
19008  0.296669, 0.304191, 0.312358, 0.320409, 0.327952,
19009  0.33635, 0.344673, 0.351761, 0.358353, 0.363567,
19010  0.367616, 0.367402, 0.362653, 0.355881, 0.341533,
19011  0.321037, 0.293343, 0.257331, 0.214725, 0.167715,
19012  0.118799, 0.0726442, 0.0343127, 0.00898285, 8.4253e-05,
19013  9.55534e-05, 0.00982351, 0.0374682, 0.07898, 0.128942,
19014  0.18126, 0.231644, 0.275787, 0.313116, 0.341437,
19015  0.361771, 0.376677, 0.383672, 0.385831, 0.38424,
19016  0.379889, 0.374169, 0.366599, 0.357995, 0.349103,
19017  0.340446, 0.331132, 0.322622, 0.314067, 0.305771,
19018  0.298305, 0.291431, 0.284799, 0.278624, 0.273419,
19019  0.268584, 0.264004, 0.26066, 0.257631, 0.253914,
19020  0.252396, 0.250132, 0.248616, 0.247235, 0.247497,
19021  0.246841, 0.247911, 0.248337, 0.250462, 0.252004,
19022  0.25414, 0.257072, 0.26076, 0.264228, 0.26891,
19023  0.273289, 0.278782, 0.285403, 0.291572, 0.298496,
19024  0.305913, 0.313904, 0.322015, 0.331238, 0.340455,
19025  0.348958, 0.358082, 0.366455, 0.375093, 0.380719,
19026  0.384801, 0.385453, 0.383703, 0.375308, 0.362602,
19027  0.342319, 0.313183, 0.276254, 0.231285, 0.181426,
19028  0.12902, 0.0790959, 0.0375714, 0.0098179, 9.53658e-05,
19029  0.000107774, 0.0106804, 0.0408854, 0.086028, 0.139666,
19030  0.195798, 0.249016, 0.295908, 0.334325, 0.363783,
19031  0.383055, 0.396789, 0.403218, 0.405163, 0.401967,
19032  0.397068, 0.39012, 0.380509, 0.371738, 0.36185,
19033  0.352066, 0.342927, 0.332853, 0.324508, 0.315688,
19034  0.306943, 0.299028, 0.293545, 0.28632, 0.281093,
19035  0.275812, 0.271532, 0.267187, 0.263457, 0.260816,
19036  0.258266, 0.256474, 0.254648, 0.253547, 0.253596,
19037  0.25347, 0.25389, 0.25501, 0.255882, 0.257919,
19038  0.260222, 0.263377, 0.267298, 0.271469, 0.275671,
19039  0.281189, 0.2864, 0.293005, 0.299807, 0.307016,
19040  0.314628, 0.323395, 0.333213, 0.342104, 0.351865,
19041  0.362421, 0.372115, 0.381419, 0.39094, 0.396545,
19042  0.401922, 0.404884, 0.402311, 0.396591, 0.383615,
19043  0.363236, 0.333755, 0.295906, 0.249189, 0.195995,
19044  0.13957, 0.0859971, 0.0408922, 0.0107006, 0.000107832,
19045  0.00012142, 0.0116941, 0.0444269, 0.0932354, 0.151361,
19046  0.211425, 0.267855, 0.316583, 0.356336, 0.385545,
19047  0.406047, 0.418287, 0.424186, 0.424441, 0.420495,
19048  0.413578, 0.405719, 0.39595, 0.385525, 0.374601,
19049  0.363073, 0.353237, 0.343792, 0.333438, 0.323687,
19050  0.315982, 0.307927, 0.301205, 0.293924, 0.288431,
19051  0.28296, 0.277629, 0.273754, 0.270415, 0.26712,
19052  0.264281, 0.262519, 0.260777, 0.259952, 0.259066,
19053  0.259379, 0.260009, 0.260644, 0.262505, 0.264574,
19054  0.267209, 0.26984, 0.273738, 0.277932, 0.282102,
19055  0.288386, 0.294574, 0.300824, 0.307926, 0.31599,
19056  0.324585, 0.333184, 0.342751, 0.352934, 0.36362,
19057  0.374626, 0.385758, 0.39656, 0.405719, 0.41468,
19058  0.420381, 0.424205, 0.423412, 0.417948, 0.405982,
19059  0.385853, 0.356573, 0.31678, 0.267671, 0.21121,
19060  0.151432, 0.0930497, 0.0444021, 0.0116741, 0.000121514,
19061  0.00013665, 0.0126949, 0.0483376, 0.101214, 0.163098,
19062  0.226868, 0.286534, 0.338177, 0.378663, 0.407961,
19063  0.428929, 0.439938, 0.445131, 0.444525, 0.437966,
19064  0.431065, 0.422672, 0.410051, 0.39889, 0.387619,
19065  0.37507, 0.364465, 0.353525, 0.343858, 0.332833,
19066  0.324865, 0.316806, 0.308377, 0.301762, 0.295598,
19067  0.289957, 0.283996, 0.280461, 0.276805, 0.273805,
19068  0.270305, 0.26871, 0.266855, 0.265556, 0.265481,
19069  0.266028, 0.26598, 0.26686, 0.268263, 0.270325,
19070  0.273767, 0.276705, 0.280906, 0.285482, 0.289213,
19071  0.295837, 0.301755, 0.309036, 0.316023, 0.324796,
19072  0.334223, 0.343361, 0.35338, 0.364164, 0.376047,
19073  0.387501, 0.399432, 0.410749, 0.421242, 0.430558,
19074  0.43892, 0.443735, 0.443796, 0.439964, 0.42851,
19075  0.408442, 0.377877, 0.338142, 0.286758, 0.227366,
19076  0.163204, 0.100913, 0.0482034, 0.0127402, 0.000136329,
19077  0.000152289, 0.0138051, 0.0523241, 0.109337, 0.176239,
19078  0.244192, 0.30714, 0.360627, 0.40196, 0.432094,
19079  0.451182, 0.462446, 0.466282, 0.46375, 0.457306,
19080  0.449409, 0.437779, 0.425665, 0.412621, 0.399851,
19081  0.387169, 0.37537, 0.363712, 0.352702, 0.342785,
19082  0.332892, 0.325531, 0.316477, 0.309643, 0.302893,
19083  0.297157, 0.291702, 0.287308, 0.28385, 0.280098,
19084  0.276999, 0.274724, 0.273018, 0.271292, 0.270945,
19085  0.271914, 0.272291, 0.273005, 0.274244, 0.276565,
19086  0.280139, 0.283487, 0.287172, 0.291112, 0.296971,
19087  0.302757, 0.309703, 0.316663, 0.32469, 0.333859,
19088  0.342874, 0.353694, 0.364469, 0.374934, 0.387436,
19089  0.400507, 0.412449, 0.42499, 0.43818, 0.447587,
19090  0.457264, 0.464883, 0.465447, 0.462522, 0.452181,
19091  0.432567, 0.402166, 0.359506, 0.307154, 0.244001,
19092  0.176284, 0.109219, 0.0523165, 0.0138149, 0.000151983,
19093  0.000169449, 0.014971, 0.0566035, 0.117992, 0.189703,
19094  0.262493, 0.328415, 0.383699, 0.426802, 0.456265,
19095  0.475887, 0.484863, 0.48717, 0.484535, 0.476707,
19096  0.466801, 0.453668, 0.440529, 0.426348, 0.412979,
19097  0.39942, 0.386887, 0.374483, 0.363567, 0.35266,
19098  0.343157, 0.333749, 0.325145, 0.317363, 0.31073,
19099  0.304269, 0.298937, 0.293803, 0.290074, 0.286513,
19100  0.282863, 0.280921, 0.278924, 0.277939, 0.277633,
19101  0.277763, 0.278323, 0.278788, 0.281491, 0.28313,
19102  0.286585, 0.289618, 0.29393, 0.298658, 0.304359,
19103  0.31024, 0.317494, 0.325186, 0.333732, 0.342886,
19104  0.352834, 0.363874, 0.374014, 0.386917, 0.401441,
19105  0.413452, 0.427683, 0.439999, 0.453985, 0.465824,
19106  0.476672, 0.483929, 0.487189, 0.48651, 0.476379,
19107  0.456067, 0.426596, 0.383749, 0.328121, 0.262729,
19108  0.189702, 0.118021, 0.0566355, 0.0149954, 0.000169586,
19109  0.000187378, 0.0162421, 0.0614842, 0.127505, 0.204267,
19110  0.280973, 0.350665, 0.408064, 0.451583, 0.482156,
19111  0.500271, 0.509362, 0.509819, 0.505526, 0.496142,
19112  0.48391, 0.471757, 0.456833, 0.441059, 0.426893,
19113  0.413033, 0.398639, 0.385747, 0.373645, 0.361781,
19114  0.351746, 0.341347, 0.332756, 0.324979, 0.317677,
19115  0.311212, 0.305861, 0.300565, 0.296683, 0.292504,
19116  0.289918, 0.287271, 0.285828, 0.284337, 0.283344,
19117  0.283725, 0.284196, 0.28586, 0.287307, 0.289931,
19118  0.293259, 0.296228, 0.300906, 0.30564, 0.310962,
19119  0.318034, 0.325472, 0.333132, 0.34197, 0.351775,
19120  0.36245, 0.372986, 0.385861, 0.398665, 0.412236,
19121  0.426683, 0.441581, 0.456364, 0.470602, 0.484733,
19122  0.496184, 0.50466, 0.510673, 0.508763, 0.500637,
19123  0.482243, 0.452116, 0.408148, 0.350598, 0.281323,
19124  0.203946, 0.127517, 0.0613873, 0.0162698, 0.00018727,
19125  0.000207311, 0.0176065, 0.0664, 0.137373, 0.218946,
19126  0.301127, 0.373483, 0.433425, 0.478449, 0.508309,
19127  0.526303, 0.532526, 0.532526, 0.525796, 0.515344,
19128  0.50286, 0.487818, 0.471105, 0.454759, 0.439991,
19129  0.423675, 0.411305, 0.396217, 0.383104, 0.372049,
19130  0.361344, 0.349714, 0.341709, 0.332896, 0.325963,
19131  0.319482, 0.313095, 0.308524, 0.303607, 0.299312,
19132  0.296245, 0.294232, 0.291972, 0.291018, 0.290107,
19133  0.290343, 0.290505, 0.292338, 0.294095, 0.296488,
19134  0.299094, 0.303428, 0.307929, 0.312582, 0.319241,
19135  0.325331, 0.332924, 0.341842, 0.35019, 0.360759,
19136  0.37136, 0.382517, 0.396907, 0.409468, 0.424979,
19137  0.439648, 0.456093, 0.471334, 0.487929, 0.502342,
19138  0.514868, 0.52617, 0.532976, 0.533483, 0.525975,
19139  0.508176, 0.478587, 0.433703, 0.374431, 0.300403,
19140  0.219686, 0.137511, 0.0663218, 0.0175858, 0.000207684,
19141  0.000228852, 0.0190383, 0.0716589, 0.148131, 0.236299,
19142  0.322295, 0.39865, 0.460848, 0.506163, 0.537357,
19143  0.553055, 0.558821, 0.556296, 0.547107, 0.535641,
19144  0.520698, 0.504733, 0.487105, 0.470587, 0.454099,
19145  0.437402, 0.421974, 0.40816, 0.394242, 0.381308,
19146  0.37016, 0.36047, 0.35005, 0.342143, 0.334379,
19147  0.326328, 0.320635, 0.315528, 0.31028, 0.306836,
19148  0.30311, 0.300238, 0.298985, 0.297475, 0.296592,
19149  0.296801, 0.29727, 0.29859, 0.30075, 0.303317,
19150  0.306547, 0.311252, 0.314818, 0.320409, 0.326472,
19151  0.33344, 0.341193, 0.349795, 0.360147, 0.369945,
19152  0.382418, 0.394387, 0.407397, 0.422337, 0.437642,
19153  0.453482, 0.470617, 0.488398, 0.504172, 0.520808,
19154  0.536442, 0.549086, 0.555362, 0.558615, 0.552617,
19155  0.536335, 0.506807, 0.460784, 0.398276, 0.321931,
19156  0.235626, 0.148224, 0.0717665, 0.0190396, 0.000229386,
19157  0.000251727, 0.0205952, 0.0773667, 0.159327, 0.253127,
19158  0.344721, 0.424819, 0.489488, 0.53441, 0.565295,
19159  0.580692, 0.585066, 0.581268, 0.570576, 0.557071,
19160  0.541292, 0.521453, 0.503894, 0.485812, 0.467094,
19161  0.451117, 0.434233, 0.419092, 0.405338, 0.392202,
19162  0.380295, 0.368862, 0.359418, 0.349938, 0.341497,
19163  0.334524, 0.327835, 0.322704, 0.318083, 0.313878,
19164  0.311069, 0.307436, 0.305625, 0.304677, 0.303104,
19165  0.303404, 0.304788, 0.30555, 0.307941, 0.310194,
19166  0.3136, 0.317538, 0.323233, 0.328079, 0.334279,
19167  0.342111, 0.350393, 0.359101, 0.368981, 0.380024,
19168  0.392038, 0.405369, 0.419202, 0.43413, 0.45069,
19169  0.468147, 0.48635, 0.504401, 0.522147, 0.541326,
19170  0.557482, 0.571568, 0.581032, 0.584006, 0.579975,
19171  0.564601, 0.534166, 0.488733, 0.424239, 0.344354,
19172  0.253056, 0.159547, 0.077327, 0.0205544, 0.000251481,
19173  0.000275899, 0.0222716, 0.0836243, 0.171744, 0.271711,
19174  0.367755, 0.4514, 0.518833, 0.565086, 0.594152,
19175  0.609168, 0.61207, 0.606072, 0.594088, 0.57845,
19176  0.559747, 0.540053, 0.521567, 0.500962, 0.482037,
19177  0.465554, 0.446965, 0.431351, 0.416278, 0.402345,
19178  0.389792, 0.378685, 0.368483, 0.359084, 0.350158,
19179  0.342856, 0.335928, 0.329826, 0.325891, 0.320878,
19180  0.317449, 0.315059, 0.312728, 0.311547, 0.309857,
19181  0.310208, 0.311333, 0.312793, 0.31396, 0.317183,
19182  0.321839, 0.325637, 0.329976, 0.336486, 0.342644,
19183  0.349664, 0.359351, 0.368148, 0.378638, 0.390307,
19184  0.403325, 0.416457, 0.430741, 0.447411, 0.463212,
19185  0.481904, 0.501461, 0.520961, 0.540915, 0.560601,
19186  0.577386, 0.593161, 0.603708, 0.611948, 0.60963,
19187  0.593165, 0.566107, 0.517899, 0.451998, 0.36787,
19188  0.271474, 0.171897, 0.0835457, 0.0222634, 0.000275295,
19189  0.000300199, 0.0240281, 0.0899417, 0.184769, 0.290638,
19190  0.39184, 0.481145, 0.548526, 0.596002, 0.625984,
19191  0.638624, 0.640203, 0.632664, 0.617625, 0.599319,
19192  0.580887, 0.558798, 0.538268, 0.517457, 0.497435,
19193  0.477813, 0.459826, 0.443083, 0.427377, 0.413018,
19194  0.401456, 0.38816, 0.377209, 0.368077, 0.358557,
19195  0.351968, 0.343554, 0.336787, 0.333275, 0.328469,
19196  0.32462, 0.322013, 0.320116, 0.318827, 0.317653,
19197  0.317556, 0.319238, 0.319637, 0.322214, 0.325142,
19198  0.328919, 0.333503, 0.337986, 0.343871, 0.35122,
19199  0.359178, 0.367826, 0.377343, 0.38832, 0.400965,
19200  0.41304, 0.428079, 0.443446, 0.461001, 0.478426,
19201  0.497591, 0.517583, 0.537937, 0.559599, 0.581001,
19202  0.600806, 0.617953, 0.632679, 0.639211, 0.637774,
19203  0.624417, 0.596661, 0.549204, 0.480913, 0.392492,
19204  0.290549, 0.184794, 0.0899673, 0.0240019, 0.000302348,
19205  0.000328889, 0.0260096, 0.0970305, 0.198485, 0.310712,
19206  0.419336, 0.510822, 0.580216, 0.628466, 0.656728,
19207  0.669174, 0.669079, 0.657773, 0.641857, 0.622167,
19208  0.602221, 0.578816, 0.555572, 0.533536, 0.513186,
19209  0.491917, 0.472707, 0.45487, 0.440216, 0.423984,
19210  0.410646, 0.398555, 0.386929, 0.376058, 0.367909,
19211  0.359979, 0.352845, 0.346076, 0.340696, 0.335985,
19212  0.331771, 0.329922, 0.327268, 0.325589, 0.325555,
19213  0.325144, 0.326502, 0.326875, 0.328871, 0.332036,
19214  0.336394, 0.340338, 0.346473, 0.353036, 0.359799,
19215  0.367664, 0.376615, 0.386658, 0.397842, 0.410615,
19216  0.424773, 0.439171, 0.45625, 0.472894, 0.492889,
19217  0.512637, 0.534127, 0.556113, 0.577916, 0.601172,
19218  0.622567, 0.6431, 0.658845, 0.66885, 0.669147,
19219  0.65764, 0.628557, 0.579968, 0.511219, 0.419816,
19220  0.310603, 0.198323, 0.0967896, 0.0259822, 0.000326641,
19221  0.000356282, 0.0279304, 0.104161, 0.21247, 0.333083,
19222  0.446813, 0.541681, 0.61313, 0.66191, 0.688876,
19223  0.698718, 0.696964, 0.685284, 0.667897, 0.645312,
19224  0.620703, 0.597027, 0.573775, 0.549826, 0.527035,
19225  0.505617, 0.487349, 0.467506, 0.451186, 0.435354,
19226  0.42011, 0.407904, 0.396633, 0.385434, 0.376441,
19227  0.367759, 0.35964, 0.354388, 0.348019, 0.344132,
19228  0.33962, 0.336804, 0.333966, 0.33325, 0.332014,
19229  0.331785, 0.332316, 0.333573, 0.336526, 0.339698,
19230  0.343569, 0.347539, 0.353757, 0.359914, 0.367487,
19231  0.375467, 0.38543, 0.396042, 0.407161, 0.42027,
19232  0.435579, 0.45026, 0.467548, 0.486731, 0.505286,
19233  0.525838, 0.550074, 0.573856, 0.598198, 0.622556,
19234  0.645163, 0.66612, 0.68544, 0.695694, 0.698851,
19235  0.689639, 0.66305, 0.612958, 0.542047, 0.445985,
19236  0.333009, 0.212565, 0.104455, 0.0279343, 0.000357737,
19237  0.000387455, 0.0300692, 0.111725, 0.228223, 0.354489,
19238  0.473672, 0.572304, 0.646399, 0.693982, 0.721081,
19239  0.729218, 0.723876, 0.710252, 0.689646, 0.66729,
19240  0.6414, 0.615448, 0.589783, 0.564758, 0.540758,
19241  0.519108, 0.497435, 0.478549, 0.460681, 0.446038,
19242  0.429928, 0.417281, 0.404919, 0.394646, 0.38416,
19243  0.375532, 0.367087, 0.361329, 0.356083, 0.350906,
19244  0.346581, 0.343157, 0.341046, 0.339345, 0.338057,
19245  0.338158, 0.340068, 0.341389, 0.343028, 0.346586,
19246  0.350606, 0.355762, 0.36084, 0.367389, 0.374274,
19247  0.382151, 0.393499, 0.404328, 0.416983, 0.43034,
19248  0.445032, 0.461592, 0.478964, 0.498003, 0.51934,
19249  0.541856, 0.56565, 0.591113, 0.615368, 0.641693,
19250  0.666463, 0.692369, 0.712067, 0.724242, 0.729813,
19251  0.721855, 0.693726, 0.646517, 0.572807, 0.473763,
19252  0.354642, 0.227717, 0.111689, 0.0300384, 0.000387752,
19253  0.000419709, 0.0320578, 0.119216, 0.241975, 0.375386,
19254  0.500679, 0.602835, 0.676476, 0.724299, 0.750308,
19255  0.757282, 0.749118, 0.733965, 0.712311, 0.685444,
19256  0.657872, 0.631322, 0.603628, 0.577253, 0.55187,
19257  0.529731, 0.507226, 0.488604, 0.469043, 0.453104,
19258  0.438252, 0.423522, 0.411027, 0.400454, 0.390383,
19259  0.381484, 0.373202, 0.366616, 0.361265, 0.355891,
19260  0.352533, 0.347728, 0.345867, 0.344455, 0.343253,
19261  0.343152, 0.344394, 0.34628, 0.348238, 0.352011,
19262  0.355645, 0.360697, 0.366628, 0.372873, 0.381245,
19263  0.38983, 0.399298, 0.410768, 0.423847, 0.43776,
19264  0.452017, 0.470137, 0.48834, 0.507806, 0.528709,
19265  0.552464, 0.577242, 0.601942, 0.630075, 0.658692,
19266  0.686096, 0.710656, 0.734286, 0.749728, 0.756355,
19267  0.751414, 0.724543, 0.678699, 0.60245, 0.498925,
19268  0.375764, 0.241413, 0.11932, 0.0320814, 0.000418569,
19269  0.000453909, 0.0339874, 0.126132, 0.255517, 0.395157,
19270  0.52323, 0.629282, 0.703899, 0.751277, 0.774441,
19271  0.779211, 0.770212, 0.750922, 0.728246, 0.700876,
19272  0.67084, 0.640836, 0.6126, 0.585848, 0.560792,
19273  0.536751, 0.514292, 0.493366, 0.475143, 0.457081,
19274  0.442489, 0.428033, 0.415149, 0.403245, 0.394025,
19275  0.384706, 0.3766, 0.369804, 0.363679, 0.35836,
19276  0.354255, 0.351926, 0.348673, 0.347893, 0.346635,
19277  0.346735, 0.347131, 0.348652, 0.350618, 0.354971,
19278  0.358643, 0.363034, 0.369743, 0.376059, 0.384584,
19279  0.394116, 0.403916, 0.415588, 0.428182, 0.442653,
19280  0.458107, 0.474488, 0.492603, 0.514322, 0.536991,
19281  0.560865, 0.586336, 0.613054, 0.642059, 0.671885,
19282  0.70038, 0.726865, 0.751925, 0.768908, 0.778662,
19283  0.774917, 0.753747, 0.703869, 0.628603, 0.525041,
19284  0.394391, 0.255109, 0.126373, 0.034043, 0.000454828,
19285  0.000491273, 0.0356591, 0.13203, 0.266269, 0.411408,
19286  0.543729, 0.648648, 0.72375, 0.768588, 0.793628,
19287  0.792877, 0.781598, 0.758735, 0.735822, 0.704826,
19288  0.676015, 0.646898, 0.617343, 0.587891, 0.562058,
19289  0.53918, 0.515581, 0.494037, 0.476951, 0.458469,
19290  0.442248, 0.428842, 0.415088, 0.404309, 0.393788,
19291  0.384279, 0.376105, 0.368877, 0.362699, 0.357741,
19292  0.353579, 0.350598, 0.348259, 0.346775, 0.34638,
19293  0.345798, 0.346062, 0.348171, 0.350627, 0.35409,
19294  0.358144, 0.362358, 0.369156, 0.376265, 0.384584,
19295  0.394227, 0.403828, 0.41489, 0.428079, 0.442553,
19296  0.457722, 0.474991, 0.49491, 0.516748, 0.537639,
19297  0.56247, 0.589215, 0.618434, 0.647382, 0.676876,
19298  0.712181, 0.735266, 0.761431, 0.780179, 0.793853,
19299  0.791115, 0.769125, 0.724738, 0.647962, 0.542535,
19300  0.410718, 0.266058, 0.132255, 0.0356586, 0.000488684,
19301  0.000524164, 0.0369889, 0.136319, 0.27404, 0.421639,
19302  0.553334, 0.661544, 0.734507, 0.778555, 0.799001,
19303  0.794547, 0.784755, 0.763631, 0.734347, 0.703362,
19304  0.673079, 0.641953, 0.611963, 0.585375, 0.556239,
19305  0.532026, 0.50964, 0.489275, 0.470099, 0.452406,
19306  0.437345, 0.423042, 0.410631, 0.39836, 0.387527,
19307  0.379845, 0.37111, 0.363565, 0.358034, 0.352713,
19308  0.348494, 0.345071, 0.342972, 0.341548, 0.340781,
19309  0.340686, 0.341752, 0.343018, 0.345458, 0.348684,
19310  0.35328, 0.358484, 0.364135, 0.371631, 0.378801,
19311  0.387085, 0.398905, 0.409723, 0.422722, 0.436902,
19312  0.453226, 0.46992, 0.489965, 0.510658, 0.532293,
19313  0.557948, 0.58412, 0.613298, 0.642765, 0.673624,
19314  0.70401, 0.733454, 0.760836, 0.783276, 0.797857,
19315  0.796301, 0.778109, 0.733531, 0.660252, 0.555431,
19316  0.421868, 0.274468, 0.136287, 0.0369236, 0.000526959,
19317  0.000564929, 0.0377637, 0.138804, 0.279058, 0.42647,
19318  0.561173, 0.664042, 0.735601, 0.776828, 0.793994,
19319  0.793666, 0.775032, 0.752005, 0.724665, 0.692319,
19320  0.661426, 0.629976, 0.60023, 0.571415, 0.545609,
19321  0.521171, 0.498636, 0.477988, 0.459068, 0.441585,
19322  0.426005, 0.411938, 0.399477, 0.387947, 0.377949,
19323  0.368801, 0.361417, 0.354439, 0.348906, 0.343214,
19324  0.339782, 0.336519, 0.333753, 0.332581, 0.331667,
19325  0.331204, 0.333284, 0.334561, 0.336772, 0.339216,
19326  0.343465, 0.348834, 0.354649, 0.360968, 0.369405,
19327  0.378729, 0.387451, 0.399817, 0.412148, 0.426203,
19328  0.440948, 0.458378, 0.477321, 0.498857, 0.521617,
19329  0.545807, 0.57294, 0.600341, 0.630052, 0.66183,
19330  0.693986, 0.723514, 0.752611, 0.775428, 0.791138,
19331  0.792812, 0.776404, 0.734316, 0.665479, 0.560281,
19332  0.426203, 0.278869, 0.138899, 0.037807, 0.000564056,
19333  0.000605771, 0.0381293, 0.140321, 0.280681, 0.427927,
19334  0.559938, 0.660679, 0.728509, 0.765945, 0.780202,
19335  0.777648, 0.760851, 0.734263, 0.705627, 0.674802,
19336  0.641899, 0.613118, 0.582149, 0.555122, 0.528762,
19337  0.504428, 0.482545, 0.462137, 0.443404, 0.427118,
19338  0.411744, 0.398772, 0.385686, 0.37523, 0.365366,
19339  0.356395, 0.348626, 0.34268, 0.336254, 0.331449,
19340  0.328095, 0.324261, 0.32231, 0.320687, 0.320655,
19341  0.319126, 0.320554, 0.322744, 0.324683, 0.327279,
19342  0.330862, 0.335896, 0.341891, 0.348428, 0.356143,
19343  0.365334, 0.375326, 0.385586, 0.397941, 0.411286,
19344  0.426268, 0.443404, 0.462084, 0.482331, 0.505762,
19345  0.529838, 0.55402, 0.583487, 0.612695, 0.643528,
19346  0.675092, 0.707404, 0.73649, 0.760748, 0.776633,
19347  0.780942, 0.767863, 0.729054, 0.659988, 0.560083,
19348  0.428327, 0.280944, 0.1401, 0.0381465, 0.000604928,
19349  0.000648271, 0.0383733, 0.140908, 0.28116, 0.427438,
19350  0.554775, 0.653396, 0.715209, 0.755669, 0.764355,
19351  0.758312, 0.7402, 0.714999, 0.686447, 0.653598,
19352  0.623112, 0.592074, 0.563194, 0.534779, 0.510223,
19353  0.485973, 0.46531, 0.445009, 0.426188, 0.410859,
19354  0.39637, 0.381834, 0.370952, 0.360104, 0.351175,
19355  0.341486, 0.334335, 0.328906, 0.32365, 0.318207,
19356  0.314542, 0.311451, 0.309332, 0.307816, 0.307649,
19357  0.307478, 0.307908, 0.309246, 0.311205, 0.314188,
19358  0.318379, 0.322794, 0.3277, 0.33465, 0.342076,
19359  0.351013, 0.359909, 0.37044, 0.38262, 0.395809,
19360  0.410993, 0.426893, 0.445596, 0.465691, 0.486773,
19361  0.510189, 0.534326, 0.563412, 0.593028, 0.622647,
19362  0.6547, 0.684556, 0.714275, 0.740017, 0.759848,
19363  0.76429, 0.754499, 0.718114, 0.653243, 0.555492,
19364  0.427225, 0.280824, 0.140961, 0.038458, 0.000648801,
19365  0.000689105, 0.0387234, 0.14115, 0.280817, 0.426264,
19366  0.552323, 0.647352, 0.709005, 0.740287, 0.74913,
19367  0.741496, 0.725245, 0.69614, 0.665929, 0.634712,
19368  0.603704, 0.572212, 0.543046, 0.517781, 0.492813,
19369  0.469371, 0.447396, 0.429105, 0.411069, 0.395466,
19370  0.381094, 0.368303, 0.35713, 0.346445, 0.337512,
19371  0.329111, 0.321863, 0.315714, 0.310429, 0.305765,
19372  0.302144, 0.299264, 0.297415, 0.29594, 0.295296,
19373  0.295042, 0.295585, 0.296683, 0.298935, 0.301414,
19374  0.305765, 0.310078, 0.315731, 0.321887, 0.329131,
19375  0.336953, 0.345851, 0.356218, 0.36772, 0.380841,
19376  0.395722, 0.410577, 0.429276, 0.447895, 0.468688,
19377  0.491631, 0.517396, 0.544278, 0.573623, 0.603834,
19378  0.634799, 0.667405, 0.696014, 0.722656, 0.742404,
19379  0.749065, 0.738427, 0.708181, 0.645628, 0.551515,
19380  0.425608, 0.28101, 0.141552, 0.0386509, 0.000690199,
19381  0.000734911, 0.0390948, 0.142512, 0.281545, 0.425879,
19382  0.549071, 0.642391, 0.70054, 0.728677, 0.736276,
19383  0.728799, 0.7069, 0.679671, 0.649815, 0.616607,
19384  0.586542, 0.554893, 0.527714, 0.501549, 0.476379,
19385  0.454545, 0.432601, 0.414493, 0.397479, 0.382021,
19386  0.368717, 0.355065, 0.344526, 0.333212, 0.325317,
19387  0.317705, 0.310793, 0.304092, 0.298084, 0.294983,
19388  0.291477, 0.288427, 0.286468, 0.28546, 0.284105,
19389  0.284719, 0.285104, 0.2867, 0.289309, 0.291698,
19390  0.295169, 0.2996, 0.304679, 0.310742, 0.317413,
19391  0.325306, 0.334714, 0.344742, 0.354587, 0.368212,
19392  0.382086, 0.39764, 0.414783, 0.433524, 0.4536,
19393  0.47655, 0.500672, 0.527592, 0.556781, 0.586942,
19394  0.61766, 0.648351, 0.679439, 0.708231, 0.726515,
19395  0.73766, 0.73114, 0.702561, 0.641453, 0.54639,
19396  0.426169, 0.282181, 0.142135, 0.0390479, 0.000737702,
19397  0.000784397, 0.0396663, 0.144247, 0.2847, 0.428723,
19398  0.550485, 0.63989, 0.696239, 0.724292, 0.728215,
19399  0.715747, 0.696182, 0.666562, 0.635326, 0.604055,
19400  0.572639, 0.542512, 0.515688, 0.488695, 0.464616,
19401  0.441688, 0.42207, 0.403264, 0.387783, 0.370817,
19402  0.358202, 0.345349, 0.334817, 0.324344, 0.315524,
19403  0.308624, 0.302284, 0.295812, 0.29061, 0.286227,
19404  0.282987, 0.280412, 0.277548, 0.276915, 0.27583,
19405  0.276179, 0.276305, 0.278082, 0.280544, 0.283116,
19406  0.286324, 0.290825, 0.296469, 0.301975, 0.308469,
19407  0.316602, 0.324969, 0.335142, 0.344954, 0.358505,
19408  0.371392, 0.386715, 0.402806, 0.422074, 0.442389,
19409  0.465634, 0.488981, 0.514761, 0.543694, 0.574157,
19410  0.606766, 0.636107, 0.667092, 0.694432, 0.716574,
19411  0.728051, 0.723948, 0.696964, 0.639711, 0.550958,
19412  0.429913, 0.284962, 0.144106, 0.0396355, 0.000783478,
19413  0.000832857, 0.0404934, 0.146991, 0.289502, 0.433101,
19414  0.555362, 0.644187, 0.697192, 0.721279, 0.724341,
19415  0.710172, 0.687397, 0.659622, 0.627642, 0.595971,
19416  0.563843, 0.534684, 0.505686, 0.478937, 0.455072,
19417  0.43299, 0.414051, 0.395348, 0.377968, 0.363935,
19418  0.349877, 0.337308, 0.327414, 0.3174, 0.308958,
19419  0.300983, 0.294186, 0.288902, 0.284061, 0.279475,
19420  0.2764, 0.273875, 0.272144, 0.270259, 0.269631,
19421  0.269396, 0.269979, 0.271292, 0.274204, 0.276436,
19422  0.279678, 0.283314, 0.288457, 0.294973, 0.301579,
19423  0.309075, 0.317407, 0.327049, 0.337366, 0.349539,
19424  0.363234, 0.377988, 0.394471, 0.413372, 0.433204,
19425  0.455849, 0.480058, 0.505164, 0.533872, 0.564357,
19426  0.596429, 0.628138, 0.659683, 0.687458, 0.709749,
19427  0.723373, 0.721611, 0.696498, 0.64222, 0.55561,
19428  0.433619, 0.288989, 0.146324, 0.0404621, 0.000830897,
19429  0.000883093, 0.0416484, 0.150627, 0.294574, 0.441303,
19430  0.56292, 0.650418, 0.704883, 0.722191, 0.724253,
19431  0.707758, 0.684098, 0.654612, 0.620695, 0.589386,
19432  0.557826, 0.527641, 0.499318, 0.472482, 0.4487,
19433  0.426554, 0.406833, 0.387973, 0.372213, 0.357527,
19434  0.344224, 0.331317, 0.321598, 0.311718, 0.303277,
19435  0.295964, 0.288964, 0.283128, 0.278743, 0.274483,
19436  0.271258, 0.268563, 0.266573, 0.265527, 0.264368,
19437  0.264595, 0.265458, 0.266725, 0.268276, 0.27149,
19438  0.274738, 0.278642, 0.283379, 0.289823, 0.296155,
19439  0.304297, 0.312456, 0.321104, 0.33211, 0.34389,
19440  0.357055, 0.372341, 0.388507, 0.407012, 0.427072,
19441  0.448944, 0.472905, 0.498784, 0.526818, 0.557673,
19442  0.590084, 0.622602, 0.655005, 0.684506, 0.708292,
19443  0.724722, 0.724029, 0.701089, 0.649754, 0.562638,
19444  0.440456, 0.294939, 0.150378, 0.0416083, 0.000885854,
19445  0.000940369, 0.0428487, 0.154377, 0.302251, 0.450111,
19446  0.572944, 0.658612, 0.708582, 0.729664, 0.726507,
19447  0.709207, 0.683408, 0.652015, 0.618319, 0.585417,
19448  0.555191, 0.523348, 0.495006, 0.468505, 0.444231,
19449  0.42308, 0.402738, 0.384626, 0.36796, 0.353184,
19450  0.340359, 0.328178, 0.317478, 0.307702, 0.29934,
19451  0.292149, 0.28635, 0.279465, 0.275632, 0.270605,
19452  0.267961, 0.264776, 0.263048, 0.26218, 0.260744,
19453  0.260903, 0.261719, 0.262732, 0.265132, 0.267719,
19454  0.270779, 0.275235, 0.279816, 0.285559, 0.291894,
19455  0.299901, 0.308174, 0.31814, 0.328095, 0.339338,
19456  0.353342, 0.368205, 0.384355, 0.403062, 0.420525,
19457  0.444204, 0.468257, 0.494868, 0.523512, 0.55407,
19458  0.586015, 0.618926, 0.652923, 0.683984, 0.709535,
19459  0.7246, 0.72836, 0.709139, 0.658234, 0.571743,
19460  0.450183, 0.302562, 0.154612, 0.0427885, 0.000938219,
19461  0.000993039, 0.0442748, 0.159472, 0.310921, 0.461192,
19462  0.583937, 0.669586, 0.717028, 0.736112, 0.731941,
19463  0.71339, 0.685231, 0.653308, 0.618937, 0.584303,
19464  0.552361, 0.521239, 0.49189, 0.46616, 0.441364,
19465  0.419313, 0.399405, 0.381411, 0.364891, 0.350335,
19466  0.336468, 0.324694, 0.314342, 0.305116, 0.296928,
19467  0.289549, 0.283025, 0.277987, 0.272061, 0.268022,
19468  0.26481, 0.26197, 0.26029, 0.258926, 0.258685,
19469  0.258528, 0.259345, 0.260505, 0.262214, 0.265744,
19470  0.268606, 0.272399, 0.277275, 0.282895, 0.289558,
19471  0.296206, 0.304634, 0.314686, 0.325451, 0.334485,
19472  0.349949, 0.364873, 0.380776, 0.400255, 0.420186,
19473  0.441871, 0.466156, 0.492775, 0.521403, 0.550443,
19474  0.585283, 0.618701, 0.653712, 0.685883, 0.713276,
19475  0.733523, 0.737061, 0.71821, 0.668869, 0.584437,
19476  0.461626, 0.311101, 0.160122, 0.044266, 0.000993195,
19477  0.00104758, 0.0459964, 0.164855, 0.319856, 0.474114,
19478  0.598431, 0.682272, 0.72918, 0.745767, 0.738095,
19479  0.718869, 0.687759, 0.655832, 0.622293, 0.585329,
19480  0.553204, 0.522273, 0.49091, 0.465024, 0.44041,
19481  0.417582, 0.397319, 0.379985, 0.36362, 0.349183,
19482  0.335253, 0.323111, 0.312825, 0.303047, 0.294979,
19483  0.287627, 0.280974, 0.274936, 0.270594, 0.267038,
19484  0.263344, 0.261353, 0.259006, 0.257309, 0.257008,
19485  0.256821, 0.257525, 0.2588, 0.261013, 0.263669,
19486  0.266462, 0.270778, 0.275927, 0.280584, 0.28746,
19487  0.295442, 0.303376, 0.312842, 0.323016, 0.33564,
19488  0.348614, 0.362556, 0.379332, 0.397742, 0.418169,
19489  0.439995, 0.465477, 0.491848, 0.521663, 0.552281,
19490  0.585863, 0.620169, 0.655756, 0.69047, 0.719018,
19491  0.738785, 0.745271, 0.729794, 0.681139, 0.598572,
19492  0.473363, 0.320176, 0.164616, 0.0459933, 0.00104991,
19493  0.00110539, 0.0475795, 0.170904, 0.330948, 0.486144,
19494  0.614274, 0.696895, 0.742201, 0.755852, 0.747566,
19495  0.726072, 0.695564, 0.660187, 0.623482, 0.586038,
19496  0.554626, 0.522093, 0.492977, 0.465203, 0.441143,
19497  0.417704, 0.397548, 0.378526, 0.361999, 0.347242,
19498  0.334108, 0.322362, 0.311751, 0.302471, 0.294231,
19499  0.286252, 0.280286, 0.274326, 0.26987, 0.264777,
19500  0.263062, 0.259509, 0.257462, 0.256309, 0.256096,
19501  0.256227, 0.257013, 0.257898, 0.259391, 0.262643,
19502  0.265246, 0.269491, 0.274574, 0.279976, 0.286277,
19503  0.293692, 0.3023, 0.311194, 0.32286, 0.334471,
19504  0.347426, 0.362492, 0.378638, 0.397163, 0.417997,
19505  0.440376, 0.465127, 0.490647, 0.521544, 0.554123,
19506  0.587773, 0.622868, 0.658879, 0.695221, 0.725325,
19507  0.747303, 0.754327, 0.741847, 0.697082, 0.612703,
19508  0.488115, 0.331305, 0.171046, 0.0476589, 0.00110786,
19509  0.00116778, 0.0496439, 0.176995, 0.343012, 0.502167,
19510  0.629526, 0.713211, 0.754537, 0.768553, 0.758254,
19511  0.734362, 0.701211, 0.665441, 0.628027, 0.590827,
19512  0.554645, 0.522643, 0.493968, 0.46542, 0.440555,
19513  0.417532, 0.397701, 0.378484, 0.362312, 0.346212,
19514  0.333697, 0.321749, 0.311097, 0.301584, 0.293283,
19515  0.286143, 0.279485, 0.274212, 0.269716, 0.265097,
19516  0.262213, 0.259111, 0.257658, 0.255644, 0.2556,
19517  0.255244, 0.255193, 0.257299, 0.259088, 0.261559,
19518  0.264605, 0.269231, 0.273827, 0.279122, 0.285594,
19519  0.293699, 0.300991, 0.311432, 0.321922, 0.333693,
19520  0.347587, 0.362294, 0.378441, 0.396763, 0.417845,
19521  0.440304, 0.465435, 0.493111, 0.523619, 0.555073,
19522  0.591987, 0.628256, 0.66363, 0.701459, 0.733923,
19523  0.758136, 0.767124, 0.755856, 0.711674, 0.629007,
19524  0.500725, 0.343351, 0.177513, 0.0495944, 0.00116363,
19525  0.00122691, 0.051719, 0.183928, 0.35505, 0.517361,
19526  0.645873, 0.729039, 0.771215, 0.7822, 0.769022,
19527  0.743239, 0.708319, 0.671149, 0.630605, 0.594442,
19528  0.558966, 0.52567, 0.495124, 0.46603, 0.441501,
19529  0.418367, 0.397983, 0.37971, 0.362966, 0.347339,
19530  0.334211, 0.322435, 0.310901, 0.302055, 0.293044,
19531  0.285495, 0.279412, 0.27383, 0.268049, 0.264728,
19532  0.26131, 0.258709, 0.256982, 0.256063, 0.255087,
19533  0.25513, 0.255797, 0.2573, 0.259247, 0.261566,
19534  0.265167, 0.269381, 0.273585, 0.279438, 0.285579,
19535  0.293209, 0.30227, 0.311174, 0.321924, 0.333619,
19536  0.346864, 0.362552, 0.379562, 0.397579, 0.417452,
19537  0.440849, 0.466152, 0.494373, 0.525407, 0.558786,
19538  0.594114, 0.631993, 0.670547, 0.708944, 0.743204,
19539  0.767871, 0.782524, 0.771459, 0.729637, 0.645484,
19540  0.518254, 0.354768, 0.18461, 0.0516755, 0.001234,
19541  0.00129009, 0.0538776, 0.191582, 0.366796, 0.533304,
19542  0.665098, 0.746632, 0.787779, 0.79616, 0.781926,
19543  0.753461, 0.715708, 0.675431, 0.637545, 0.597988,
19544  0.56213, 0.527954, 0.496874, 0.467662, 0.44279,
19545  0.41995, 0.398391, 0.380003, 0.362927, 0.348876,
19546  0.33381, 0.322498, 0.312097, 0.301765, 0.293235,
19547  0.286276, 0.279608, 0.273557, 0.268276, 0.264568,
19548  0.262031, 0.258836, 0.257106, 0.25526, 0.255421,
19549  0.255418, 0.255563, 0.25706, 0.259147, 0.261703,
19550  0.264231, 0.268626, 0.273859, 0.279203, 0.285832,
19551  0.293213, 0.301365, 0.311335, 0.322106, 0.334733,
19552  0.34802, 0.362786, 0.380111, 0.398661, 0.42035,
19553  0.442839, 0.468455, 0.496763, 0.528225, 0.562752,
19554  0.599247, 0.636336, 0.676834, 0.715773, 0.754563,
19555  0.776954, 0.794658, 0.788095, 0.747376, 0.664858,
19556  0.53502, 0.367698, 0.191359, 0.0538532, 0.0012915,
19557  0.00136101, 0.0561284, 0.198782, 0.38079, 0.551366,
19558  0.682478, 0.765358, 0.803408, 0.811557, 0.793235,
19559  0.762449, 0.724173, 0.684114, 0.641724, 0.604059,
19560  0.567553, 0.531066, 0.499688, 0.469542, 0.444773,
19561  0.420605, 0.400579, 0.38135, 0.365075, 0.349145,
19562  0.334737, 0.322511, 0.311849, 0.302044, 0.293699,
19563  0.285852, 0.280339, 0.273923, 0.26921, 0.264586,
19564  0.262099, 0.258826, 0.256814, 0.255653, 0.255238,
19565  0.255802, 0.255849, 0.256931, 0.258789, 0.26207,
19566  0.264774, 0.26901, 0.273709, 0.279315, 0.286323,
19567  0.293935, 0.301684, 0.31149, 0.322548, 0.335202,
19568  0.348427, 0.363633, 0.380419, 0.400675, 0.421147,
19569  0.44414, 0.470301, 0.499131, 0.532, 0.564075,
19570  0.60354, 0.643291, 0.683282, 0.723201, 0.762765,
19571  0.792816, 0.811507, 0.80448, 0.766414, 0.683526,
19572  0.552129, 0.380769, 0.199235, 0.0561143, 0.00136063,
19573  0.00142136, 0.0582751, 0.206984, 0.394372, 0.5692,
19574  0.702866, 0.785266, 0.821299, 0.825684, 0.806203,
19575  0.772431, 0.733641, 0.69156, 0.648305, 0.608108,
19576  0.570729, 0.533937, 0.502807, 0.474198, 0.447198,
19577  0.42332, 0.401868, 0.382105, 0.365438, 0.350176,
19578  0.335808, 0.322985, 0.312797, 0.302776, 0.29421,
19579  0.286058, 0.280036, 0.274463, 0.269517, 0.265281,
19580  0.262276, 0.259404, 0.257002, 0.256855, 0.2551,
19581  0.255324, 0.256055, 0.256989, 0.259309, 0.26187,
19582  0.265676, 0.269152, 0.274599, 0.279905, 0.286467,
19583  0.294486, 0.302303, 0.312643, 0.324208, 0.335863,
19584  0.349768, 0.364887, 0.382593, 0.401014, 0.422253,
19585  0.4469, 0.473794, 0.502075, 0.534875, 0.569356,
19586  0.608459, 0.64837, 0.69103, 0.734175, 0.772771,
19587  0.807183, 0.825719, 0.82096, 0.786978, 0.703694,
19588  0.569261, 0.394223, 0.206845, 0.0584666, 0.00142581,
19589  0.00149293, 0.0609809, 0.215181, 0.40914, 0.587872,
19590  0.7238, 0.80408, 0.840452, 0.840971, 0.819561,
19591  0.785289, 0.742015, 0.697966, 0.653506, 0.612649,
19592  0.574191, 0.537471, 0.504992, 0.475143, 0.448696,
19593  0.424895, 0.403336, 0.383104, 0.365496, 0.351053,
19594  0.336919, 0.324634, 0.313456, 0.303789, 0.295206,
19595  0.287597, 0.280089, 0.275577, 0.270165, 0.265942,
19596  0.262527, 0.260071, 0.257381, 0.256678, 0.255909,
19597  0.255949, 0.256722, 0.25799, 0.259467, 0.262586,
19598  0.265919, 0.269853, 0.275117, 0.280976, 0.287607,
19599  0.294861, 0.303597, 0.31292, 0.324373, 0.336699,
19600  0.350291, 0.365942, 0.383695, 0.403138, 0.424571,
19601  0.44894, 0.475262, 0.507242, 0.538627, 0.573867,
19602  0.612768, 0.655699, 0.699301, 0.742449, 0.784656,
19603  0.819858, 0.841474, 0.840578, 0.801807, 0.72139,
19604  0.587243, 0.408709, 0.21533, 0.0610034, 0.00149773,
19605  0.00156585, 0.0635455, 0.223786, 0.422878, 0.610133,
19606  0.744272, 0.824338, 0.858717, 0.856246, 0.832574,
19607  0.795706, 0.752047, 0.704799, 0.660221, 0.617828,
19608  0.578355, 0.541563, 0.508877, 0.47827, 0.45122,
19609  0.426642, 0.404823, 0.385663, 0.367328, 0.35199,
19610  0.338355, 0.325378, 0.314866, 0.304666, 0.295703,
19611  0.288419, 0.281623, 0.27564, 0.271172, 0.266965,
19612  0.263399, 0.260783, 0.257976, 0.257221, 0.256675,
19613  0.256852, 0.25759, 0.2587, 0.260846, 0.263071,
19614  0.26627, 0.270349, 0.275659, 0.281237, 0.288037,
19615  0.295413, 0.304619, 0.314614, 0.325812, 0.337906,
19616  0.351814, 0.367955, 0.385728, 0.405372, 0.426912,
19617  0.45098, 0.477408, 0.508275, 0.541365, 0.578721,
19618  0.618804, 0.662688, 0.705867, 0.751093, 0.795637,
19619  0.833768, 0.856307, 0.85893, 0.825269, 0.743185,
19620  0.607647, 0.425189, 0.223469, 0.0633671, 0.00156383,
19621  0.00164117, 0.0660686, 0.232494, 0.439758, 0.627806,
19622  0.76455, 0.846225, 0.875433, 0.870301, 0.844437,
19623  0.806936, 0.759921, 0.713276, 0.667607, 0.624111,
19624  0.581966, 0.545296, 0.511299, 0.481729, 0.454374,
19625  0.428319, 0.40575, 0.387497, 0.36935, 0.353019,
19626  0.339669, 0.327424, 0.315017, 0.305751, 0.296681,
19627  0.288671, 0.281946, 0.276334, 0.271882, 0.266676,
19628  0.263571, 0.261568, 0.259377, 0.258028, 0.256631,
19629  0.257099, 0.257634, 0.259332, 0.261482, 0.263763,
19630  0.266717, 0.271436, 0.276433, 0.281777, 0.289148,
19631  0.296226, 0.305998, 0.315736, 0.326464, 0.339339,
19632  0.353301, 0.368947, 0.38731, 0.406879, 0.428998,
19633  0.452891, 0.480047, 0.512912, 0.544754, 0.582225,
19634  0.623219, 0.667687, 0.713039, 0.761999, 0.806352,
19635  0.845417, 0.872936, 0.877462, 0.8469, 0.763997,
19636  0.62752, 0.439137, 0.232092, 0.0660347, 0.00163255,
19637  0.0017162, 0.0688426, 0.24192, 0.455308, 0.647722,
19638  0.785197, 0.866282, 0.893553, 0.885332, 0.859971,
19639  0.817547, 0.770502, 0.720986, 0.674028, 0.627608,
19640  0.586961, 0.550222, 0.514715, 0.4833, 0.45567,
19641  0.430519, 0.40845, 0.388759, 0.370408, 0.354431,
19642  0.340503, 0.327028, 0.317139, 0.306247, 0.297822,
19643  0.29008, 0.283036, 0.27658, 0.272139, 0.267654,
19644  0.264478, 0.262006, 0.260619, 0.258426, 0.257665,
19645  0.257627, 0.258764, 0.259222, 0.261806, 0.264233,
19646  0.267879, 0.27271, 0.276742, 0.283222, 0.288757,
19647  0.297058, 0.30624, 0.316636, 0.327581, 0.339599,
19648  0.354513, 0.370124, 0.388359, 0.408106, 0.430298,
19649  0.455098, 0.483833, 0.515806, 0.549292, 0.586915,
19650  0.628188, 0.673925, 0.721722, 0.76956, 0.816766,
19651  0.860295, 0.890144, 0.894338, 0.865946, 0.787226,
19652  0.647356, 0.454938, 0.241643, 0.0689208, 0.00171124,
19653  0.00178546, 0.0716704, 0.252065, 0.471163, 0.670356,
19654  0.809547, 0.885541, 0.913239, 0.905064, 0.872711,
19655  0.827621, 0.779646, 0.729958, 0.679496, 0.634693,
19656  0.591674, 0.553444, 0.518094, 0.487231, 0.459399,
19657  0.433341, 0.409784, 0.390452, 0.371786, 0.355799,
19658  0.341923, 0.328981, 0.317582, 0.307562, 0.298421,
19659  0.290752, 0.283632, 0.278266, 0.272843, 0.268096,
19660  0.265337, 0.262953, 0.260292, 0.258895, 0.258532,
19661  0.258741, 0.258976, 0.260394, 0.262402, 0.264702,
19662  0.268944, 0.273008, 0.277973, 0.283846, 0.290694,
19663  0.298935, 0.306819, 0.317622, 0.328944, 0.341769,
19664  0.356529, 0.372163, 0.390135, 0.410657, 0.432628,
19665  0.459449, 0.487006, 0.518246, 0.552312, 0.591861,
19666  0.635021, 0.680937, 0.729718, 0.77915, 0.828769,
19667  0.87149, 0.905545, 0.913548, 0.886415, 0.809597,
19668  0.66885, 0.469992, 0.25094, 0.0717054, 0.00178272,
19669  0.00186286, 0.0746834, 0.26047, 0.486453, 0.688926,
19670  0.830752, 0.908073, 0.933094, 0.919882, 0.887406,
19671  0.839213, 0.789598, 0.738343, 0.687179, 0.638738,
19672  0.59678, 0.556807, 0.521529, 0.488992, 0.460829,
19673  0.434763, 0.412118, 0.390993, 0.374012, 0.356173,
19674  0.343161, 0.32997, 0.318368, 0.30816, 0.29949,
19675  0.291433, 0.284804, 0.279068, 0.273843, 0.269203,
19676  0.266268, 0.263567, 0.261235, 0.25999, 0.259473,
19677  0.259058, 0.260435, 0.261334, 0.263133, 0.26686,
19678  0.269424, 0.273466, 0.278201, 0.285219, 0.29221,
19679  0.299785, 0.308622, 0.3186, 0.33065, 0.343137,
19680  0.356868, 0.373316, 0.391909, 0.412541, 0.43476,
19681  0.459964, 0.489408, 0.520778, 0.556937, 0.596128,
19682  0.640958, 0.685841, 0.73843, 0.789113, 0.841619,
19683  0.885069, 0.92013, 0.93322, 0.908847, 0.832441,
19684  0.689906, 0.487311, 0.261117, 0.0747837, 0.00186751,
19685  0.00194757, 0.077796, 0.271278, 0.504717, 0.710656,
19686  0.853558, 0.930501, 0.951721, 0.936796, 0.901339,
19687  0.84878, 0.798532, 0.74677, 0.693223, 0.646311,
19688  0.599273, 0.561429, 0.525071, 0.493011, 0.4629,
19689  0.437432, 0.414261, 0.394429, 0.375068, 0.358905,
19690  0.343773, 0.330581, 0.320101, 0.309323, 0.300614,
19691  0.292728, 0.28587, 0.279818, 0.275445, 0.270645,
19692  0.266741, 0.26408, 0.261968, 0.261473, 0.260259,
19693  0.259403, 0.260323, 0.262156, 0.263807, 0.26692,
19694  0.270355, 0.273963, 0.279976, 0.285465, 0.292868,
19695  0.300318, 0.308929, 0.319462, 0.331506, 0.343904,
19696  0.358444, 0.375892, 0.392999, 0.414878, 0.437596,
19697  0.463986, 0.492802, 0.524511, 0.56064, 0.601374,
19698  0.645548, 0.693208, 0.745282, 0.795618, 0.851994,
19699  0.900134, 0.9364, 0.951183, 0.928324, 0.851994,
19700  0.709242, 0.505145, 0.270421, 0.077727, 0.00194465,
19701  0.00202086, 0.0807915, 0.280979, 0.521522, 0.732219,
19702  0.875852, 0.951839, 0.971976, 0.95341, 0.913319,
19703  0.861939, 0.808545, 0.752131, 0.698687, 0.649907,
19704  0.604837, 0.564723, 0.529258, 0.495593, 0.466663,
19705  0.439728, 0.416339, 0.394917, 0.376508, 0.360319,
19706  0.344896, 0.332054, 0.320116, 0.31122, 0.301679,
19707  0.294046, 0.286295, 0.280301, 0.275694, 0.27083,
19708  0.266988, 0.265407, 0.263202, 0.261008, 0.260241,
19709  0.260754, 0.260905, 0.262757, 0.264629, 0.267462,
19710  0.270819, 0.27572, 0.280398, 0.286152, 0.293014,
19711  0.301038, 0.310415, 0.320952, 0.332732, 0.344787,
19712  0.3601, 0.376878, 0.396313, 0.415908, 0.438702,
19713  0.465824, 0.494655, 0.52837, 0.564186, 0.6046,
19714  0.650643, 0.698119, 0.751158, 0.808945, 0.860646,
19715  0.914597, 0.955122, 0.970797, 0.94928, 0.875875,
19716  0.73236, 0.521853, 0.280527, 0.0808934, 0.00202877,
19717  0.00211039, 0.0840559, 0.291134, 0.539614, 0.751238,
19718  0.899955, 0.972208, 0.989134, 0.968323, 0.926791,
19719  0.874465, 0.816125, 0.759528, 0.705421, 0.655584,
19720  0.609328, 0.568086, 0.530299, 0.497263, 0.468272,
19721  0.441131, 0.417933, 0.397518, 0.378378, 0.362198,
19722  0.346378, 0.333779, 0.321787, 0.310759, 0.301893,
19723  0.293804, 0.287689, 0.281297, 0.276385, 0.2716,
19724  0.268359, 0.265131, 0.263457, 0.262101, 0.261019,
19725  0.261519, 0.261926, 0.263405, 0.26556, 0.268265,
19726  0.271811, 0.27674, 0.28163, 0.287128, 0.294521,
19727  0.302073, 0.311351, 0.321314, 0.333363, 0.347313,
19728  0.361638, 0.378803, 0.397125, 0.418207, 0.441657,
19729  0.468307, 0.497728, 0.531622, 0.568597, 0.609809,
19730  0.655836, 0.705238, 0.759898, 0.817528, 0.872848,
19731  0.927351, 0.971564, 0.987903, 0.972994, 0.898532,
19732  0.754014, 0.537963, 0.291325, 0.0843053, 0.00210626,
19733  0.00218678, 0.0871811, 0.30154, 0.556945, 0.776572,
19734  0.92228, 0.994606, 1.00796, 0.98396, 0.941056,
19735  0.884565, 0.824678, 0.765652, 0.710748, 0.660206,
19736  0.614095, 0.571858, 0.535161, 0.50031, 0.46939,
19737  0.444216, 0.420495, 0.39868, 0.37983, 0.362586,
19738  0.34802, 0.334177, 0.322901, 0.312582, 0.303354,
19739  0.295214, 0.288015, 0.282341, 0.277017, 0.272791,
19740  0.269119, 0.266108, 0.263802, 0.262568, 0.262173,
19741  0.262117, 0.262717, 0.264284, 0.265821, 0.269085,
19742  0.272538, 0.276986, 0.28193, 0.28849, 0.295612,
19743  0.30411, 0.312621, 0.323275, 0.334546, 0.348564,
19744  0.362785, 0.380105, 0.398799, 0.419305, 0.443251,
19745  0.470747, 0.499505, 0.534112, 0.571926, 0.613435,
19746  0.660823, 0.711667, 0.767867, 0.824895, 0.884497,
19747  0.940682, 0.98481, 1.00823, 0.99236, 0.921605,
19748  0.77616, 0.555866, 0.301823, 0.0874438, 0.00219294,
19749  0.00227719, 0.0906601, 0.313517, 0.577672, 0.797735,
19750  0.945044, 1.01644, 1.03012, 1.00256, 0.954477,
19751  0.895863, 0.835652, 0.773053, 0.717535, 0.665632,
19752  0.618571, 0.576532, 0.536934, 0.503734, 0.473119,
19753  0.445798, 0.422119, 0.400892, 0.38132, 0.364089,
19754  0.348968, 0.336054, 0.324015, 0.313831, 0.304216,
19755  0.296465, 0.289317, 0.283113, 0.278486, 0.273217,
19756  0.269346, 0.266996, 0.265157, 0.263146, 0.26261,
19757  0.26358, 0.263646, 0.265398, 0.266856, 0.26993,
19758  0.273817, 0.27807, 0.28326, 0.289975, 0.296584,
19759  0.304433, 0.313276, 0.3238, 0.336884, 0.349404,
19760  0.364955, 0.381766, 0.400328, 0.421589, 0.445646,
19761  0.472749, 0.503356, 0.537441, 0.575701, 0.619414,
19762  0.665414, 0.717497, 0.774673, 0.834824, 0.894304,
19763  0.954336, 1.00135, 1.02826, 1.01301, 0.943603,
19764  0.797685, 0.576147, 0.313547, 0.090826, 0.00227429,
19765  0.00235672, 0.094581, 0.325181, 0.595251, 0.821799,
19766  0.971362, 1.03748, 1.04593, 1.01737, 0.966405,
19767  0.907691, 0.843423, 0.782109, 0.724364, 0.671561,
19768  0.623097, 0.579022, 0.54051, 0.506212, 0.474857,
19769  0.447156, 0.4235, 0.402291, 0.38265, 0.365935,
19770  0.35057, 0.337152, 0.324845, 0.313482, 0.306001,
19771  0.2967, 0.290422, 0.283647, 0.279169, 0.274805,
19772  0.269759, 0.268726, 0.265277, 0.26488, 0.263908,
19773  0.264153, 0.264524, 0.266379, 0.268137, 0.270484,
19774  0.273951, 0.27884, 0.283451, 0.289826, 0.297206,
19775  0.305577, 0.314098, 0.325063, 0.33662, 0.350553,
19776  0.365335, 0.382467, 0.402684, 0.423526, 0.448029,
19777  0.474949, 0.507078, 0.540758, 0.580166, 0.622811,
19778  0.671416, 0.724631, 0.782639, 0.842584, 0.906364,
19779  0.966363, 1.01711, 1.04637, 1.03599, 0.967827,
19780  0.822748, 0.595319, 0.32492, 0.0946371, 0.00236715,
19781  0.00244862, 0.0980193, 0.336444, 0.614419, 0.846481,
19782  0.994717, 1.05895, 1.06576, 1.03645, 0.980654,
19783  0.918048, 0.85233, 0.789605, 0.729515, 0.676228,
19784  0.627558, 0.583205, 0.542798, 0.509896, 0.477504,
19785  0.450019, 0.425875, 0.403531, 0.383184, 0.366993,
19786  0.352493, 0.338535, 0.326485, 0.315049, 0.306782,
19787  0.298026, 0.290619, 0.284881, 0.279604, 0.274971,
19788  0.271201, 0.268573, 0.266433, 0.265093, 0.264149,
19789  0.264335, 0.265029, 0.267189, 0.268211, 0.271541,
19790  0.275337, 0.279328, 0.284343, 0.291139, 0.298376,
19791  0.305716, 0.316141, 0.326559, 0.337981, 0.351805,
19792  0.367557, 0.384721, 0.403519, 0.425833, 0.450786,
19793  0.477813, 0.508977, 0.542367, 0.583464, 0.626788,
19794  0.676129, 0.730171, 0.788633, 0.85262, 0.917609,
19795  0.979007, 1.03431, 1.06655, 1.05879, 0.993168,
19796  0.845024, 0.615029, 0.337311, 0.0980231, 0.00244971,
19797  0.00254127, 0.101515, 0.349853, 0.633747, 0.869572,
19798  1.01694, 1.08222, 1.08378, 1.05137, 0.994141,
19799  0.92954, 0.861454, 0.795557, 0.73546, 0.680377,
19800  0.631112, 0.585867, 0.546535, 0.510479, 0.479944,
19801  0.453279, 0.427008, 0.404953, 0.385766, 0.368641,
19802  0.353342, 0.339332, 0.32792, 0.316574, 0.307191,
19803  0.29907, 0.292001, 0.285941, 0.280655, 0.276337,
19804  0.272231, 0.269481, 0.26727, 0.266089, 0.265275,
19805  0.264986, 0.265885, 0.267119, 0.269306, 0.272145,
19806  0.275748, 0.280312, 0.285404, 0.291958, 0.299369,
19807  0.306975, 0.316908, 0.32707, 0.33887, 0.353284,
19808  0.368723, 0.385316, 0.404175, 0.425799, 0.452852,
19809  0.480089, 0.51115, 0.546398, 0.587636, 0.630373,
19810  0.681742, 0.735986, 0.796995, 0.86309, 0.928198,
19811  0.994301, 1.05123, 1.0865, 1.08511, 1.01605,
19812  0.870861, 0.63345, 0.348215, 0.101692, 0.00255068,
19813  0.00263441, 0.105552, 0.361271, 0.654185, 0.892169,
19814  1.04355, 1.10369, 1.10369, 1.06353, 1.00659,
19815  0.93897, 0.871879, 0.803748, 0.742411, 0.686077,
19816  0.635352, 0.589413, 0.550382, 0.514162, 0.482541,
19817  0.454248, 0.42949, 0.407012, 0.387192, 0.370259,
19818  0.353776, 0.339795, 0.327861, 0.318032, 0.308227,
19819  0.299681, 0.293112, 0.286672, 0.28104, 0.276006,
19820  0.273313, 0.270206, 0.267252, 0.266352, 0.265738,
19821  0.265628, 0.266222, 0.267912, 0.270166, 0.272283,
19822  0.276709, 0.280825, 0.286098, 0.292884, 0.299912,
19823  0.307981, 0.316901, 0.328295, 0.340931, 0.354493,
19824  0.369599, 0.386818, 0.406962, 0.429437, 0.454271,
19825  0.483059, 0.514139, 0.549391, 0.589649, 0.634601,
19826  0.684178, 0.742179, 0.804224, 0.870835, 0.938589,
19827  1.00714, 1.06579, 1.10478, 1.10375, 1.04405,
19828  0.894304, 0.653026, 0.360785, 0.105559, 0.00263604,
19829  0.00272568, 0.109289, 0.373578, 0.674543, 0.918379,
19830  1.067, 1.12652, 1.12296, 1.08363, 1.02026,
19831  0.951065, 0.879082, 0.809174, 0.749034, 0.691282,
19832  0.639242, 0.592711, 0.552628, 0.516553, 0.484241,
19833  0.455991, 0.43124, 0.40869, 0.388526, 0.371444,
19834  0.354773, 0.342167, 0.330048, 0.318329, 0.309278,
19835  0.300289, 0.293933, 0.287153, 0.281558, 0.277259,
19836  0.274098, 0.270554, 0.268529, 0.26736, 0.266846,
19837  0.266151, 0.267071, 0.268708, 0.270834, 0.273758,
19838  0.277225, 0.281328, 0.287289, 0.293451, 0.299746,
19839  0.309173, 0.318729, 0.328817, 0.34148, 0.35532,
19840  0.371155, 0.388408, 0.408354, 0.431942, 0.455994,
19841  0.484901, 0.515497, 0.552053, 0.593302, 0.639661,
19842  0.69058, 0.747841, 0.810852, 0.877656, 0.949418,
19843  1.02101, 1.08181, 1.12455, 1.12613, 1.06626,
19844  0.917701, 0.674974, 0.373072, 0.109445, 0.00273197,
19845  0.00282203, 0.113606, 0.38638, 0.696411, 0.941273,
19846  1.09052, 1.14896, 1.14158, 1.09655, 1.03374,
19847  0.96046, 0.889366, 0.817589, 0.753618, 0.695358,
19848  0.643104, 0.595925, 0.555744, 0.518776, 0.487662,
19849  0.457973, 0.432906, 0.410646, 0.390147, 0.37314,
19850  0.357014, 0.343372, 0.330254, 0.319743, 0.310063,
19851  0.300977, 0.294292, 0.288065, 0.283018, 0.278168,
19852  0.274474, 0.271643, 0.2698, 0.268801, 0.267203,
19853  0.267145, 0.267792, 0.26913, 0.271889, 0.274099,
19854  0.278668, 0.282203, 0.288561, 0.29416, 0.301936,
19855  0.309906, 0.319421, 0.330588, 0.342503, 0.356948,
19856  0.372289, 0.389846, 0.410539, 0.432826, 0.458641,
19857  0.486064, 0.519455, 0.555339, 0.597066, 0.643958,
19858  0.694367, 0.754872, 0.817917, 0.885221, 0.957444,
19859  1.0332, 1.09709, 1.14289, 1.14954, 1.08885,
19860  0.940911, 0.696026, 0.386742, 0.11347, 0.00282637,
19861  0.00292748, 0.117518, 0.398124, 0.71585, 0.968792,
19862  1.11564, 1.16943, 1.16175, 1.11409, 1.04551,
19863  0.971293, 0.895936, 0.823637, 0.758868, 0.701844,
19864  0.647097, 0.600635, 0.558596, 0.521594, 0.489015,
19865  0.460307, 0.434291, 0.411, 0.391882, 0.373786,
19866  0.358287, 0.344205, 0.331388, 0.321045, 0.310582,
19867  0.302285, 0.29537, 0.288408, 0.2832, 0.279347,
19868  0.275918, 0.271853, 0.269925, 0.268825, 0.268357,
19869  0.26784, 0.268568, 0.269917, 0.272772, 0.274941,
19870  0.279346, 0.283847, 0.28866, 0.295927, 0.302817,
19871  0.310813, 0.320775, 0.331969, 0.344167, 0.35771,
19872  0.373892, 0.391016, 0.412388, 0.434184, 0.459464,
19873  0.489225, 0.522257, 0.558134, 0.600089, 0.646395,
19874  0.702229, 0.761404, 0.824762, 0.895604, 0.968624,
19875  1.04488, 1.11415, 1.16151, 1.17338, 1.1166,
19876  0.967617, 0.716181, 0.399771, 0.117662, 0.00291392,
19877  0.00301199, 0.122268, 0.412651, 0.740188, 0.993962,
19878  1.14194, 1.19316, 1.18216, 1.12976, 1.0563,
19879  0.980776, 0.905793, 0.831999, 0.763478, 0.705516,
19880  0.651813, 0.603422, 0.561421, 0.52408, 0.490125,
19881  0.461279, 0.43582, 0.413326, 0.392847, 0.374764,
19882  0.360176, 0.344395, 0.332732, 0.321795, 0.311789,
19883  0.303791, 0.296797, 0.290053, 0.284332, 0.279756,
19884  0.276035, 0.273084, 0.271256, 0.269492, 0.268637,
19885  0.269014, 0.269756, 0.270129, 0.273169, 0.275555,
19886  0.279644, 0.284072, 0.289409, 0.295102, 0.303468,
19887  0.31211, 0.321726, 0.33317, 0.34537, 0.358972,
19888  0.374725, 0.393091, 0.414558, 0.435835, 0.462599,
19889  0.491051, 0.524408, 0.561966, 0.603956, 0.651142,
19890  0.706344, 0.765396, 0.83124, 0.903962, 0.980349,
19891  1.05931, 1.12793, 1.17962, 1.19338, 1.14111,
19892  0.993801, 0.739349, 0.413181, 0.122008, 0.00301311,
19893  0.00311823, 0.126128, 0.426706, 0.758739, 1.01815,
19894  1.16352, 1.21855, 1.19806, 1.14744, 1.07146,
19895  0.990087, 0.91189, 0.840037, 0.768702, 0.708975,
19896  0.655104, 0.606183, 0.564479, 0.526414, 0.494605,
19897  0.464463, 0.438119, 0.414646, 0.393815, 0.375879,
19898  0.360455, 0.346836, 0.333205, 0.322757, 0.312579,
19899  0.304266, 0.297001, 0.290426, 0.285474, 0.280766,
19900  0.27681, 0.273836, 0.271552, 0.270794, 0.269743,
19901  0.269698, 0.27097, 0.271443, 0.273871, 0.27653,
19902  0.280572, 0.285396, 0.290338, 0.29665, 0.304998,
19903  0.312662, 0.322629, 0.333676, 0.346081, 0.359824,
19904  0.37619, 0.394414, 0.414684, 0.438157, 0.465218,
19905  0.493091, 0.528377, 0.563137, 0.607395, 0.655893,
19906  0.710088, 0.770357, 0.838283, 0.912111, 0.992276,
19907  1.06876, 1.14397, 1.1999, 1.21621, 1.16749,
19908  1.0206, 0.759986, 0.427873, 0.126037, 0.0031155,
19909  0.00322699, 0.130718, 0.440033, 0.781197, 1.04461,
19910  1.1894, 1.23932, 1.21992, 1.16049, 1.08217,
19911  1.00052, 0.922051, 0.845211, 0.777278, 0.714221,
19912  0.658417, 0.611014, 0.567659, 0.529029, 0.49544,
19913  0.466072, 0.43935, 0.416224, 0.395489, 0.377175,
19914  0.361088, 0.346936, 0.334634, 0.323716, 0.313997,
19915  0.306109, 0.29713, 0.291325, 0.286519, 0.281087,
19916  0.277892, 0.274377, 0.272074, 0.270932, 0.269869,
19917  0.270536, 0.270734, 0.27234, 0.274737, 0.277561,
19918  0.280827, 0.285814, 0.291258, 0.297462, 0.305014,
19919  0.314646, 0.323303, 0.33405, 0.346707, 0.360884,
19920  0.378418, 0.395329, 0.41659, 0.439305, 0.466126,
19921  0.496264, 0.528107, 0.566912, 0.610446, 0.659336,
19922  0.712383, 0.775184, 0.844334, 0.921285, 1.00209,
19923  1.08233, 1.16063, 1.21875, 1.23917, 1.19166,
19924  1.04602, 0.782536, 0.440662, 0.130657, 0.00322179,
19925  0.0033121, 0.13532, 0.455579, 0.805765, 1.0703,
19926  1.21796, 1.26039, 1.23504, 1.17396, 1.09629,
19927  1.00903, 0.928724, 0.850114, 0.780999, 0.718118,
19928  0.662539, 0.611746, 0.568567, 0.532152, 0.496996,
19929  0.466614, 0.441615, 0.418119, 0.396774, 0.378806,
19930  0.363154, 0.348503, 0.335915, 0.324855, 0.31485,
19931  0.305997, 0.298728, 0.293113, 0.287064, 0.281297,
19932  0.278506, 0.275812, 0.273111, 0.271949, 0.271273,
19933  0.271154, 0.271776, 0.273358, 0.275158, 0.278674,
19934  0.281336, 0.286392, 0.292314, 0.298329, 0.306019,
19935  0.315322, 0.324897, 0.335653, 0.348688, 0.362871,
19936  0.378376, 0.397045, 0.417086, 0.441707, 0.467719,
19937  0.497145, 0.531115, 0.569482, 0.613282, 0.663645,
19938  0.718664, 0.781766, 0.8536, 0.928713, 1.0127,
19939  1.09642, 1.17652, 1.23919, 1.26007, 1.21567,
19940  1.07169, 0.805052, 0.454477, 0.135526, 0.00332644,
19941  0.00342605, 0.140121, 0.470091, 0.827278, 1.09389,
19942  1.24086, 1.28477, 1.25487, 1.19016, 1.10786,
19943  1.01986, 0.93704, 0.857321, 0.785979, 0.723804,
19944  0.665697, 0.616573, 0.572986, 0.53264, 0.499463,
19945  0.469729, 0.4434, 0.419484, 0.398391, 0.379768,
19946  0.364005, 0.349149, 0.3357, 0.32467, 0.314795,
19947  0.307279, 0.299018, 0.292939, 0.287305, 0.282575,
19948  0.278204, 0.275743, 0.273445, 0.272383, 0.271329,
19949  0.272369, 0.272067, 0.273747, 0.276133, 0.279318,
19950  0.282679, 0.286994, 0.293301, 0.299428, 0.30761,
19951  0.31538, 0.326521, 0.337317, 0.349105, 0.363934,
19952  0.380066, 0.398646, 0.419145, 0.44213, 0.469588,
19953  0.499009, 0.534196, 0.572464, 0.616928, 0.667351,
19954  0.72248, 0.7867, 0.859117, 0.935855, 1.0215,
19955  1.10708, 1.19177, 1.25756, 1.28641, 1.24197,
19956  1.09794, 0.82899, 0.470968, 0.140168, 0.00342681,
19957  0.00352319, 0.14451, 0.48492, 0.851792, 1.12427,
19958  1.26671, 1.30598, 1.28038, 1.20549, 1.12027,
19959  1.03147, 0.944056, 0.862602, 0.790982, 0.728494,
19960  0.669185, 0.618518, 0.576448, 0.536778, 0.500622,
19961  0.47178, 0.442245, 0.419065, 0.400576, 0.380239,
19962  0.365363, 0.350247, 0.337112, 0.326492, 0.316541,
19963  0.307776, 0.29994, 0.293745, 0.288051, 0.283646,
19964  0.279988, 0.277071, 0.274293, 0.273578, 0.272256,
19965  0.271892, 0.273216, 0.274945, 0.276549, 0.279703,
19966  0.283867, 0.287914, 0.294361, 0.299216, 0.307472,
19967  0.316431, 0.325538, 0.338139, 0.351187, 0.364632,
19968  0.381411, 0.40053, 0.420891, 0.444403, 0.471445,
19969  0.502025, 0.535123, 0.575701, 0.620268, 0.670589,
19970  0.726267, 0.791043, 0.863712, 0.946924, 1.02871,
19971  1.12047, 1.2064, 1.27578, 1.3105, 1.26872,
19972  1.12367, 0.852086, 0.485, 0.144988, 0.00353843,
19973  0.00363563, 0.149987, 0.499295, 0.874907, 1.15163,
19974  1.2921, 1.32986, 1.29351, 1.22105, 1.13295,
19975  1.04186, 0.953841, 0.871883, 0.797529, 0.732211,
19976  0.672983, 0.619959, 0.578511, 0.538779, 0.503444,
19977  0.472512, 0.445997, 0.422745, 0.401693, 0.382894,
19978  0.366397, 0.350964, 0.338292, 0.327295, 0.316885,
19979  0.308791, 0.30113, 0.29496, 0.28897, 0.284086,
19980  0.280521, 0.276893, 0.274472, 0.273433, 0.273057,
19981  0.272378, 0.273406, 0.27525, 0.277507, 0.280863,
19982  0.284765, 0.28816, 0.294847, 0.301349, 0.308761,
19983  0.317782, 0.327204, 0.338728, 0.351875, 0.366535,
19984  0.382967, 0.402124, 0.422428, 0.446035, 0.472901,
19985  0.503585, 0.537693, 0.578698, 0.623295, 0.67235,
19986  0.730945, 0.797086, 0.872478, 0.952617, 1.04333,
19987  1.13562, 1.22123, 1.29424, 1.32853, 1.29297,
19988  1.15377, 0.876558, 0.499623, 0.149641, 0.00364752,
19989  0.00375267, 0.155028, 0.515993, 0.899539, 1.178,
19990  1.32221, 1.3524, 1.31532, 1.23598, 1.14458,
19991  1.05471, 0.960647, 0.876485, 0.802051, 0.737115,
19992  0.677647, 0.626803, 0.580193, 0.541456, 0.505385,
19993  0.475002, 0.448368, 0.424762, 0.402917, 0.383287,
19994  0.368064, 0.35267, 0.338951, 0.328161, 0.318874,
19995  0.309271, 0.302381, 0.294746, 0.289564, 0.285453,
19996  0.280919, 0.278576, 0.27591, 0.274795, 0.273469,
19997  0.273719, 0.274347, 0.275685, 0.277723, 0.280822,
19998  0.284731, 0.289495, 0.295349, 0.301926, 0.310069,
19999  0.317829, 0.327954, 0.339822, 0.352423, 0.367767,
20000  0.385186, 0.402162, 0.42395, 0.448395, 0.475243,
20001  0.505804, 0.540949, 0.579289, 0.626884, 0.676968,
20002  0.737839, 0.802997, 0.877633, 0.960159, 1.04937,
20003  1.14656, 1.23893, 1.31248, 1.35212, 1.31532,
20004  1.17886, 0.898536, 0.517015, 0.154929, 0.00374943,
20005  0.00385068, 0.160109, 0.531851, 0.923268, 1.20698,
20006  1.34609, 1.37858, 1.33201, 1.24934, 1.1583,
20007  1.06014, 0.96838, 0.883601, 0.806783, 0.739605,
20008  0.681383, 0.62985, 0.583346, 0.542142, 0.508717,
20009  0.476554, 0.448814, 0.424994, 0.403904, 0.385098,
20010  0.367956, 0.354023, 0.341143, 0.329667, 0.318632,
20011  0.310799, 0.303299, 0.295542, 0.290919, 0.285212,
20012  0.282443, 0.278485, 0.276666, 0.274378, 0.274511,
20013  0.274982, 0.275438, 0.276664, 0.279355, 0.281779,
20014  0.286279, 0.290013, 0.295596, 0.302438, 0.310735,
20015  0.319385, 0.329632, 0.34181, 0.35412, 0.368799,
20016  0.384839, 0.404633, 0.42528, 0.449794, 0.476978,
20017  0.507585, 0.543267, 0.583625, 0.628199, 0.682691,
20018  0.740013, 0.806989, 0.88487, 0.968689, 1.05876,
20019  1.15738, 1.2515, 1.33252, 1.3741, 1.34732,
20020  1.20472, 0.922539, 0.531981, 0.160494, 0.00386101,
20021  0.00396099, 0.16585, 0.548537, 0.949227, 1.23508,
20022  1.37363, 1.39501, 1.35001, 1.26812, 1.17052,
20023  1.07036, 0.974877, 0.889049, 0.813677, 0.744916,
20024  0.684937, 0.631253, 0.583972, 0.545395, 0.509674,
20025  0.477771, 0.450416, 0.426581, 0.405449, 0.386185,
20026  0.369305, 0.354327, 0.342173, 0.330073, 0.319931,
20027  0.311079, 0.302952, 0.296498, 0.290476, 0.286546,
20028  0.282735, 0.279573, 0.277943, 0.275976, 0.275699,
20029  0.274778, 0.276048, 0.27716, 0.280055, 0.282953,
20030  0.286408, 0.291477, 0.296927, 0.303282, 0.311388,
20031  0.320145, 0.329653, 0.342549, 0.354536, 0.36933,
20032  0.386883, 0.405708, 0.426325, 0.450938, 0.478186,
20033  0.509888, 0.546775, 0.584227, 0.63284, 0.685582,
20034  0.745324, 0.812945, 0.888683, 0.974332, 1.06945,
20035  1.16729, 1.26365, 1.35126, 1.39776, 1.37064,
20036  1.23439, 0.952533, 0.548625, 0.165456, 0.0039502,
20037  0.00407355, 0.170795, 0.563446, 0.976856, 1.26291,
20038  1.40079, 1.42077, 1.36739, 1.28184, 1.17998,
20039  1.0797, 0.983785, 0.89284, 0.816987, 0.747414,
20040  0.688068, 0.634819, 0.588681, 0.546714, 0.511238,
20041  0.480745, 0.452219, 0.428582, 0.406974, 0.387215,
20042  0.370402, 0.3557, 0.342718, 0.331382, 0.320846,
20043  0.311563, 0.304503, 0.297118, 0.292186, 0.287569,
20044  0.283252, 0.280375, 0.277911, 0.276117, 0.275272,
20045  0.275672, 0.27678, 0.277948, 0.279687, 0.283364,
20046  0.287603, 0.292267, 0.297851, 0.304565, 0.311807,
20047  0.321615, 0.331394, 0.342445, 0.355958, 0.369851,
20048  0.387687, 0.406143, 0.427663, 0.451762, 0.479258,
20049  0.51017, 0.547675, 0.587457, 0.635349, 0.688457,
20050  0.749652, 0.818935, 0.896969, 0.982629, 1.07768,
20051  1.18015, 1.28407, 1.37312, 1.42259, 1.39655,
20052  1.26174, 0.973123, 0.565467, 0.170953, 0.00407229,
20053  0.00418737, 0.176535, 0.581764, 0.999418, 1.2912,
20054  1.42776, 1.44522, 1.3866, 1.29652, 1.19161,
20055  1.0869, 0.989081, 0.90206, 0.822775, 0.752169,
20056  0.691389, 0.637324, 0.59135, 0.549616, 0.515116,
20057  0.48195, 0.454244, 0.42981, 0.407874, 0.388698,
20058  0.371293, 0.35695, 0.343947, 0.332318, 0.32165,
20059  0.313778, 0.305191, 0.298211, 0.292563, 0.288112,
20060  0.283198, 0.281035, 0.279032, 0.276885, 0.276432,
20061  0.276503, 0.277142, 0.279067, 0.280795, 0.283581,
20062  0.287928, 0.292693, 0.298863, 0.304574, 0.312949,
20063  0.32223, 0.331326, 0.343346, 0.356765, 0.37105,
20064  0.38824, 0.407336, 0.429459, 0.455419, 0.482339,
20065  0.513842, 0.548137, 0.588822, 0.637816, 0.691324,
20066  0.751597, 0.821921, 0.902948, 0.991761, 1.08838,
20067  1.19347, 1.29694, 1.38806, 1.44288, 1.42641,
20068  1.29236, 1.00285, 0.581924, 0.176747, 0.00419423,
20069  0.00429471, 0.182329, 0.600532, 1.02659, 1.31877,
20070  1.45278, 1.46678, 1.40597, 1.30856, 1.20337,
20071  1.09721, 0.997058, 0.906204, 0.829905, 0.757591,
20072  0.696098, 0.6423, 0.593824, 0.551118, 0.51597,
20073  0.484161, 0.45548, 0.431057, 0.408587, 0.390235,
20074  0.371988, 0.357756, 0.34428, 0.332264, 0.322807,
20075  0.313448, 0.305561, 0.299425, 0.293948, 0.288614,
20076  0.284429, 0.281703, 0.279693, 0.278086, 0.277775,
20077  0.276317, 0.278241, 0.279583, 0.281505, 0.285122,
20078  0.288985, 0.293867, 0.298948, 0.305707, 0.313374,
20079  0.321597, 0.332172, 0.344304, 0.357921, 0.372713,
20080  0.38861, 0.408808, 0.430611, 0.456254, 0.483761,
20081  0.515165, 0.553322, 0.594034, 0.640363, 0.694965,
20082  0.756409, 0.826965, 0.908618, 0.995601, 1.09741,
20083  1.20405, 1.31053, 1.40524, 1.46276, 1.45443,
20084  1.31903, 1.02384, 0.598255, 0.182402, 0.00428457,
20085  0.00441779, 0.188389, 0.616771, 1.05278, 1.34847,
20086  1.47898, 1.49357, 1.42502, 1.32693, 1.21475,
20087  1.10749, 1.0077, 0.914635, 0.834218, 0.761431,
20088  0.698271, 0.643848, 0.595697, 0.554962, 0.51767,
20089  0.484489, 0.456974, 0.432235, 0.409868, 0.391169,
20090  0.373811, 0.358357, 0.345116, 0.333744, 0.324986,
20091  0.31409, 0.307177, 0.299575, 0.294074, 0.289992,
20092  0.285449, 0.281841, 0.279749, 0.278221, 0.276989,
20093  0.277737, 0.278446, 0.280425, 0.283147, 0.285151,
20094  0.290064, 0.294163, 0.299848, 0.306767, 0.314696,
20095  0.323662, 0.334548, 0.345429, 0.358593, 0.37421,
20096  0.39004, 0.410589, 0.431705, 0.457954, 0.486152,
20097  0.517609, 0.553646, 0.594545, 0.64535, 0.697818,
20098  0.762754, 0.832166, 0.913499, 1.0045, 1.10647,
20099  1.21612, 1.32488, 1.42466, 1.49166, 1.48202,
20100  1.34847, 1.05239, 0.616482, 0.188485, 0.00442866,
20101  0.00451811, 0.194407, 0.635585, 1.08116, 1.37582,
20102  1.50864, 1.51079, 1.44233, 1.34098, 1.22407,
20103  1.11352, 1.0135, 0.920069, 0.837856, 0.763852,
20104  0.701981, 0.645026, 0.600509, 0.556335, 0.519626,
20105  0.487593, 0.459388, 0.434737, 0.410901, 0.392763,
20106  0.374523, 0.359513, 0.345553, 0.334216, 0.324439,
20107  0.314702, 0.308565, 0.301186, 0.29558, 0.290098,
20108  0.286078, 0.283284, 0.280922, 0.278878, 0.278119,
20109  0.278377, 0.279465, 0.2809, 0.283695, 0.285489,
20110  0.290359, 0.294753, 0.301251, 0.306485, 0.314879,
20111  0.325338, 0.33408, 0.346034, 0.35912, 0.375139,
20112  0.392339, 0.410848, 0.433913, 0.457893, 0.486876,
20113  0.51931, 0.55407, 0.599399, 0.647222, 0.701776,
20114  0.764992, 0.838855, 0.920149, 1.01143, 1.11534,
20115  1.22719, 1.34171, 1.44838, 1.51154, 1.51104,
20116  1.37733, 1.08055, 0.634464, 0.194291, 0.00454,
20117  0.0046555, 0.200495, 0.653068, 1.10928, 1.40826,
20118  1.53563, 1.53355, 1.46493, 1.35577, 1.23912,
20119  1.12311, 1.01912, 0.924869, 0.842057, 0.770281,
20120  0.706244, 0.648976, 0.601222, 0.558634, 0.520351,
20121  0.489103, 0.460299, 0.434546, 0.41357, 0.392496,
20122  0.3751, 0.361058, 0.34739, 0.335832, 0.324983,
20123  0.31656, 0.308361, 0.302205, 0.295523, 0.290636,
20124  0.286624, 0.283958, 0.281246, 0.279619, 0.279558,
20125  0.279267, 0.280288, 0.281742, 0.283811, 0.286407,
20126  0.290801, 0.295609, 0.301299, 0.30684, 0.3163,
20127  0.324953, 0.336877, 0.347464, 0.361291, 0.375749,
20128  0.392629, 0.412243, 0.433501, 0.460097, 0.489271,
20129  0.520366, 0.557826, 0.601672, 0.649899, 0.705116,
20130  0.769922, 0.841543, 0.925842, 1.02086, 1.12431,
20131  1.23993, 1.35477, 1.46184, 1.53641, 1.53411,
20132  1.40738, 1.1084, 0.653327, 0.200295, 0.00464292,
20133  0.00476428, 0.206375, 0.671805, 1.13551, 1.4366,
20134  1.56477, 1.55947, 1.4803, 1.36625, 1.24974,
20135  1.13577, 1.02653, 0.927798, 0.847914, 0.772386,
20136  0.708311, 0.651596, 0.60521, 0.558901, 0.522364,
20137  0.489435, 0.461832, 0.436155, 0.413898, 0.394509,
20138  0.376545, 0.361201, 0.347655, 0.337398, 0.325632,
20139  0.317271, 0.308255, 0.302226, 0.296446, 0.291564,
20140  0.288667, 0.283587, 0.281678, 0.280512, 0.279767,
20141  0.279904, 0.281127, 0.281805, 0.284466, 0.287995,
20142  0.291859, 0.297006, 0.302216, 0.309038, 0.316988,
20143  0.32613, 0.336275, 0.348009, 0.361915, 0.376197,
20144  0.394944, 0.414714, 0.435774, 0.46211, 0.490949,
20145  0.52445, 0.560361, 0.603182, 0.652378, 0.709733,
20146  0.772698, 0.846938, 0.931081, 1.02824, 1.13209,
20147  1.25092, 1.36958, 1.4758, 1.55713, 1.56466,
20148  1.43782, 1.13195, 0.671965, 0.207118, 0.00475937,
20149  0.00488546, 0.214086, 0.689925, 1.16489, 1.46604,
20150  1.59011, 1.5804, 1.50002, 1.38539, 1.26136,
20151  1.14177, 1.03273, 0.935557, 0.850759, 0.776134,
20152  0.710889, 0.655153, 0.604371, 0.562882, 0.525823,
20153  0.491761, 0.465081, 0.437463, 0.41595, 0.39523,
20154  0.379273, 0.362545, 0.34897, 0.337258, 0.326832,
20155  0.318661, 0.310002, 0.302724, 0.297311, 0.292172,
20156  0.288675, 0.285571, 0.282969, 0.281821, 0.27996,
20157  0.279982, 0.281488, 0.282375, 0.284666, 0.288151,
20158  0.291868, 0.297016, 0.302715, 0.310267, 0.317672,
20159  0.327013, 0.338004, 0.349525, 0.361546, 0.377882,
20160  0.396095, 0.415145, 0.437947, 0.462839, 0.493339,
20161  0.526368, 0.56197, 0.606739, 0.655081, 0.711663,
20162  0.778071, 0.851895, 0.93624, 1.03325, 1.14391,
20163  1.26101, 1.3823, 1.49843, 1.58097, 1.59314,
20164  1.46962, 1.16468, 0.690275, 0.213556, 0.00488455,
20165  0.00502738, 0.219925, 0.710683, 1.19172, 1.50045,
20166  1.61866, 1.60462, 1.51551, 1.39636, 1.27251,
20167  1.15079, 1.04108, 0.939816, 0.856341, 0.782803,
20168  0.715007, 0.657071, 0.608535, 0.565372, 0.527016,
20169  0.494906, 0.464478, 0.439061, 0.416792, 0.395802,
20170  0.380071, 0.363109, 0.350209, 0.337619, 0.327692,
20171  0.31826, 0.31093, 0.303925, 0.297973, 0.292567,
20172  0.288665, 0.285918, 0.283699, 0.281961, 0.281733,
20173  0.281663, 0.282324, 0.283845, 0.286083, 0.288567,
20174  0.292875, 0.298405, 0.303606, 0.311112, 0.318425,
20175  0.327433, 0.338487, 0.350253, 0.363291, 0.378422,
20176  0.396538, 0.417017, 0.439335, 0.464539, 0.494167,
20177  0.52686, 0.565471, 0.608036, 0.658528, 0.715659,
20178  0.78122, 0.856864, 0.942455, 1.04304, 1.14975,
20179  1.27213, 1.39895, 1.51279, 1.59907, 1.61222,
20180  1.50061, 1.19221, 0.710096, 0.220111, 0.00499574,
20181  0.00512957, 0.226194, 0.731399, 1.21956, 1.52886,
20182  1.64478, 1.62888, 1.53365, 1.41488, 1.28376,
20183  1.15989, 1.04663, 0.94946, 0.861733, 0.785262,
20184  0.718656, 0.659798, 0.611997, 0.568167, 0.528995,
20185  0.495234, 0.465416, 0.440174, 0.417159, 0.399012,
20186  0.37943, 0.364876, 0.351314, 0.339226, 0.328358,
20187  0.320425, 0.310688, 0.304211, 0.298891, 0.293802,
20188  0.290464, 0.286492, 0.283951, 0.282383, 0.282649,
20189  0.281317, 0.282787, 0.283989, 0.285852, 0.28934,
20190  0.293312, 0.299745, 0.305116, 0.310916, 0.319809,
20191  0.328774, 0.339167, 0.351231, 0.365296, 0.380019,
20192  0.397613, 0.417601, 0.440079, 0.465794, 0.49552,
20193  0.529014, 0.566172, 0.609698, 0.659283, 0.718149,
20194  0.783851, 0.861618, 0.95023, 1.04867, 1.16029,
20195  1.28491, 1.414, 1.53389, 1.62434, 1.64263,
20196  1.52849, 1.21922, 0.731963, 0.226761, 0.00514067,
20197  0.00526738, 0.23341, 0.751002, 1.24716, 1.5631,
20198  1.67046, 1.64912, 1.55691, 1.42609, 1.2963,
20199  1.16782, 1.05666, 0.955126, 0.865881, 0.790002,
20200  0.721188, 0.663485, 0.612585, 0.568651, 0.53105,
20201  0.4965, 0.467548, 0.441772, 0.418722, 0.400057,
20202  0.381446, 0.364781, 0.351803, 0.33973, 0.329923,
20203  0.320407, 0.312501, 0.305966, 0.299524, 0.294663,
20204  0.28998, 0.286994, 0.285061, 0.283369, 0.282399,
20205  0.282695, 0.283419, 0.284413, 0.286919, 0.29035,
20206  0.294105, 0.299101, 0.304907, 0.311971, 0.319475,
20207  0.329817, 0.340699, 0.351619, 0.366526, 0.380976,
20208  0.399054, 0.418806, 0.44279, 0.466427, 0.495963,
20209  0.530802, 0.568563, 0.612161, 0.660896, 0.722454,
20210  0.789872, 0.867868, 0.953082, 1.05478, 1.17035,
20211  1.29673, 1.42836, 1.55506, 1.65115, 1.67369,
20212  1.56118, 1.24935, 0.749, 0.233425, 0.00526131,
20213  0.00538253, 0.240043, 0.771177, 1.27871, 1.59324,
20214  1.69984, 1.66975, 1.57133, 1.44184, 1.30487,
20215  1.17943, 1.06285, 0.959633, 0.867944, 0.791737,
20216  0.723731, 0.666615, 0.616375, 0.572212, 0.532934,
20217  0.497705, 0.468867, 0.443186, 0.420163, 0.401075,
20218  0.382559, 0.366223, 0.352702, 0.341158, 0.330005,
20219  0.321176, 0.313218, 0.305489, 0.299777, 0.294855,
20220  0.290808, 0.288897, 0.285938, 0.283222, 0.283066,
20221  0.283502, 0.285398, 0.285435, 0.287718, 0.291268,
20222  0.294797, 0.300579, 0.305878, 0.312693, 0.321144,
20223  0.331242, 0.340884, 0.352359, 0.367202, 0.382078,
20224  0.401399, 0.419873, 0.443137, 0.469012, 0.49989,
20225  0.533689, 0.570721, 0.613797, 0.665025, 0.723926,
20226  0.791824, 0.872222, 0.959084, 1.0634, 1.1765,
20227  1.30575, 1.43989, 1.57253, 1.672, 1.70277,
20228  1.58834, 1.28135, 0.770464, 0.240012, 0.00538173,
20229  0.00550413, 0.247878, 0.791241, 1.30969, 1.6248,
20230  1.729, 1.69517, 1.58951, 1.45876, 1.31594,
20231  1.19003, 1.06999, 0.965539, 0.875418, 0.794787,
20232  0.727582, 0.668282, 0.618849, 0.573154, 0.533765,
20233  0.500077, 0.469984, 0.444513, 0.421437, 0.401235,
20234  0.382879, 0.3679, 0.354031, 0.341858, 0.331829,
20235  0.322188, 0.314378, 0.306546, 0.300632, 0.295388,
20236  0.29231, 0.288523, 0.286053, 0.284517, 0.28397,
20237  0.283874, 0.284515, 0.286246, 0.288747, 0.291585,
20238  0.296038, 0.301184, 0.306886, 0.314726, 0.322248,
20239  0.330632, 0.34265, 0.353655, 0.367449, 0.383424,
20240  0.401441, 0.421254, 0.44483, 0.470518, 0.50111,
20241  0.533746, 0.574599, 0.618148, 0.667405, 0.728627,
20242  0.795916, 0.875647, 0.964746, 1.07073, 1.19005,
20243  1.3179, 1.45482, 1.59296, 1.69754, 1.72758,
20244  1.62181, 1.30829, 0.792152, 0.247764, 0.00550867,
20245  0.00563274, 0.25531, 0.812369, 1.33927, 1.65531,
20246  1.75402, 1.71953, 1.6068, 1.47152, 1.3294,
20247  1.19601, 1.07646, 0.97066, 0.880161, 0.79929,
20248  0.730656, 0.67129, 0.619456, 0.575888, 0.535554,
20249  0.501659, 0.471594, 0.446496, 0.422684, 0.403523,
20250  0.384523, 0.368076, 0.35381, 0.34292, 0.332415,
20251  0.322928, 0.315092, 0.307546, 0.300883, 0.296142,
20252  0.293121, 0.289265, 0.286078, 0.28566, 0.284942,
20253  0.284791, 0.285372, 0.286453, 0.289741, 0.292565,
20254  0.296499, 0.301969, 0.308088, 0.313783, 0.323398,
20255  0.33135, 0.342906, 0.355329, 0.368541, 0.384748,
20256  0.401716, 0.423366, 0.446359, 0.470823, 0.502487,
20257  0.535984, 0.576189, 0.620165, 0.671942, 0.731453,
20258  0.798711, 0.881603, 0.975586, 1.07622, 1.19754,
20259  1.3275, 1.46984, 1.60662, 1.71666, 1.75663,
20260  1.65212, 1.33837, 0.815431, 0.25548, 0.00562664,
20261  0.00576963, 0.262962, 0.833547, 1.36945, 1.69002,
20262  1.78248, 1.73947, 1.62898, 1.48354, 1.34107,
20263  1.20594, 1.08268, 0.976963, 0.884401, 0.803462,
20264  0.733954, 0.673506, 0.62243, 0.578088, 0.538066,
20265  0.504576, 0.473332, 0.447609, 0.424529, 0.403893,
20266  0.38559, 0.369296, 0.355197, 0.34288, 0.333073,
20267  0.323817, 0.315177, 0.308559, 0.302025, 0.297577,
20268  0.292981, 0.290375, 0.287409, 0.286521, 0.285673,
20269  0.285953, 0.287059, 0.28777, 0.290247, 0.292603,
20270  0.297625, 0.302057, 0.308235, 0.315214, 0.323674,
20271  0.332373, 0.344005, 0.356092, 0.370029, 0.386803,
20272  0.402688, 0.424331, 0.448239, 0.472898, 0.504565,
20273  0.537166, 0.57707, 0.621236, 0.674383, 0.734072,
20274  0.802821, 0.884005, 0.97752, 1.08716, 1.20622,
20275  1.33886, 1.48187, 1.62706, 1.73617, 1.78472,
20276  1.68449, 1.36968, 0.833966, 0.262764, 0.00576837,
20277  0.00589989, 0.270802, 0.859895, 1.40098, 1.71796,
20278  1.81145, 1.76249, 1.64183, 1.49475, 1.34828,
20279  1.20921, 1.0862, 0.979361, 0.887681, 0.806505,
20280  0.737367, 0.676655, 0.625991, 0.579346, 0.539073,
20281  0.505549, 0.475246, 0.448833, 0.426741, 0.405651,
20282  0.386479, 0.370054, 0.357449, 0.344518, 0.333881,
20283  0.324443, 0.316684, 0.309382, 0.303227, 0.297484,
20284  0.294658, 0.291455, 0.28858, 0.287052, 0.286348,
20285  0.285936, 0.28686, 0.288462, 0.290464, 0.294526,
20286  0.296937, 0.302848, 0.309414, 0.316127, 0.323416,
20287  0.332961, 0.344818, 0.357699, 0.370245, 0.386372,
20288  0.404488, 0.425662, 0.449043, 0.475994, 0.505213,
20289  0.538718, 0.580185, 0.624359, 0.676308, 0.73803,
20290  0.806764, 0.88691, 0.982221, 1.09222, 1.2134,
20291  1.35145, 1.49871, 1.64502, 1.76615, 1.81086,
20292  1.71338, 1.40081, 0.856574, 0.270523, 0.00590019,
20293  0.00602926, 0.278138, 0.879315, 1.43023, 1.75056,
20294  1.84176, 1.78784, 1.66273, 1.50864, 1.35907,
20295  1.22207, 1.09864, 0.987216, 0.892538, 0.811397,
20296  0.739975, 0.680102, 0.626838, 0.581444, 0.541212,
20297  0.506815, 0.475571, 0.450172, 0.426485, 0.406036,
20298  0.388019, 0.3711, 0.357847, 0.346306, 0.334655,
20299  0.324484, 0.317062, 0.309679, 0.303819, 0.298748,
20300  0.29496, 0.29174, 0.289284, 0.28743, 0.287032,
20301  0.287352, 0.287513, 0.288911, 0.291479, 0.295103,
20302  0.298172, 0.303315, 0.309584, 0.31762, 0.325648,
20303  0.334828, 0.346081, 0.357036, 0.371868, 0.388187,
20304  0.406246, 0.426561, 0.450321, 0.477176, 0.507009,
20305  0.541918, 0.580109, 0.626075, 0.680365, 0.73925,
20306  0.81031, 0.895791, 0.988162, 1.09658, 1.22146,
20307  1.36002, 1.50779, 1.65938, 1.78994, 1.83839,
20308  1.74653, 1.4299, 0.880619, 0.278616, 0.00600802,
20309  0.00615639, 0.285806, 0.902742, 1.46868, 1.78227,
20310  1.867, 1.81147, 1.67863, 1.52359, 1.3735,
20311  1.23251, 1.1048, 0.992147, 0.896001, 0.815744,
20312  0.745107, 0.681723, 0.627703, 0.583178, 0.543496,
20313  0.508317, 0.477694, 0.452128, 0.427648, 0.407797,
20314  0.389994, 0.372376, 0.358706, 0.346899, 0.336105,
20315  0.325709, 0.31773, 0.310626, 0.303757, 0.300004,
20316  0.295896, 0.292414, 0.290434, 0.288557, 0.287366,
20317  0.287941, 0.28733, 0.289552, 0.29253, 0.295903,
20318  0.298837, 0.304644, 0.310948, 0.317911, 0.326111,
20319  0.334828, 0.347097, 0.358937, 0.372345, 0.387951,
20320  0.407363, 0.428041, 0.452585, 0.477355, 0.50898,
20321  0.544152, 0.582835, 0.627391, 0.68104, 0.743792,
20322  0.815511, 0.896874, 0.991453, 1.10154, 1.23338,
20323  1.37422, 1.52072, 1.68099, 1.81316, 1.86988,
20324  1.77724, 1.46604, 0.901213, 0.286532, 0.00613847,
20325  0.00629846, 0.294916, 0.924801, 1.49547, 1.81721,
20326  1.89776, 1.82694, 1.69608, 1.5375, 1.38467,
20327  1.24099, 1.10939, 0.998541, 0.902285, 0.820121,
20328  0.745931, 0.683923, 0.632184, 0.584265, 0.545509,
20329  0.509774, 0.479311, 0.452513, 0.429437, 0.408674,
20330  0.390658, 0.373795, 0.359789, 0.346637, 0.336497,
20331  0.326728, 0.319453, 0.311321, 0.305619, 0.300472,
20332  0.296942, 0.293296, 0.291604, 0.289456, 0.288452,
20333  0.288401, 0.288514, 0.290096, 0.293642, 0.296892,
20334  0.300665, 0.305808, 0.311294, 0.31791, 0.32759,
20335  0.335568, 0.347442, 0.360847, 0.373598, 0.390219,
20336  0.407672, 0.428621, 0.452498, 0.479597, 0.509735,
20337  0.545864, 0.586206, 0.632046, 0.685036, 0.747593,
20338  0.819172, 0.902311, 0.996856, 1.1091, 1.23662,
20339  1.38261, 1.53876, 1.69608, 1.83451, 1.8959,
20340  1.81067, 1.49562, 0.925727, 0.294494, 0.00628985,
20341  0.0064018, 0.303078, 0.949726, 1.52927, 1.85207,
20342  1.92916, 1.85357, 1.71056, 1.55215, 1.39519,
20343  1.24499, 1.11815, 0.999498, 0.903497, 0.819503,
20344  0.749751, 0.687423, 0.634136, 0.586526, 0.54737,
20345  0.510666, 0.480184, 0.453958, 0.42944, 0.408411,
20346  0.390463, 0.374716, 0.360509, 0.348441, 0.337586,
20347  0.327218, 0.319334, 0.312498, 0.305706, 0.300851,
20348  0.296398, 0.293813, 0.291381, 0.288824, 0.288534,
20349  0.289622, 0.290087, 0.291839, 0.294349, 0.29704,
20350  0.300917, 0.30662, 0.311995, 0.319323, 0.327219,
20351  0.337709, 0.348524, 0.361552, 0.375008, 0.389613,
20352  0.408854, 0.430069, 0.452788, 0.482251, 0.511417,
20353  0.54586, 0.588349, 0.633564, 0.687618, 0.748367,
20354  0.820605, 0.905186, 1.00385, 1.11569, 1.24669,
20355  1.39197, 1.5531, 1.71571, 1.85493, 1.92511,
20356  1.84947, 1.53003, 0.948377, 0.30268, 0.00642178,
20357  0.00656366, 0.311859, 0.973409, 1.56483, 1.88146,
20358  1.95393, 1.87782, 1.73161, 1.56607, 1.40142,
20359  1.25392, 1.12311, 1.00804, 0.907569, 0.823534,
20360  0.752035, 0.69005, 0.635997, 0.590023, 0.550016,
20361  0.5129, 0.482728, 0.454656, 0.430924, 0.410409,
20362  0.393213, 0.376547, 0.36093, 0.34788, 0.338355,
20363  0.328457, 0.320654, 0.312408, 0.306754, 0.302143,
20364  0.298029, 0.294212, 0.291841, 0.290628, 0.289637,
20365  0.289515, 0.291134, 0.29144, 0.294049, 0.29713,
20366  0.302305, 0.306059, 0.312851, 0.320187, 0.328256,
20367  0.33825, 0.349365, 0.361043, 0.375982, 0.391725,
20368  0.409548, 0.431679, 0.454519, 0.482171, 0.514181,
20369  0.549616, 0.588631, 0.637354, 0.691896, 0.754235,
20370  0.824701, 0.910887, 1.00606, 1.12288, 1.25132,
20371  1.40544, 1.56596, 1.73156, 1.87303, 1.95295,
20372  1.87246, 1.56288, 0.971735, 0.312111, 0.00655661,
20373  0.00670562, 0.321311, 0.999498, 1.59574, 1.91758,
20374  1.98698, 1.89794, 1.74624, 1.5821, 1.41102,
20375  1.26368, 1.12968, 1.01272, 0.914563, 0.83116,
20376  0.755936, 0.692304, 0.639306, 0.591106, 0.54999,
20377  0.515039, 0.484283, 0.457001, 0.432037, 0.410306,
20378  0.392522, 0.376145, 0.362616, 0.350386, 0.33942,
20379  0.328412, 0.321123, 0.313501, 0.306619, 0.30282,
20380  0.298358, 0.295351, 0.292864, 0.290479, 0.29045,
20381  0.289192, 0.290641, 0.292525, 0.294868, 0.297897,
20382  0.302178, 0.306764, 0.313487, 0.320394, 0.3295,
20383  0.337867, 0.349671, 0.362086, 0.376659, 0.393807,
20384  0.411458, 0.432906, 0.45588, 0.484047, 0.51422,
20385  0.550569, 0.591335, 0.638281, 0.693665, 0.756329,
20386  0.828655, 0.914597, 1.0139, 1.13143, 1.26007,
20387  1.4098, 1.57711, 1.74562, 1.90056, 1.98294,
20388  1.91373, 1.59675, 0.995094, 0.319914, 0.00671553,
20389  0.0068353, 0.32883, 1.02421, 1.63209, 1.94664,
20390  2.01353, 1.92565, 1.76623, 1.59432, 1.42304,
20391  1.27059, 1.13631, 1.02084, 0.918406, 0.830851,
20392  0.758952, 0.695, 0.640462, 0.592517, 0.551427,
20393  0.516069, 0.485778, 0.458236, 0.433467, 0.413361,
20394  0.394456, 0.377237, 0.36422, 0.3512, 0.340413,
20395  0.329848, 0.321212, 0.313968, 0.309087, 0.302739,
20396  0.299507, 0.295049, 0.293283, 0.291865, 0.290755,
20397  0.290691, 0.292184, 0.29331, 0.295792, 0.298862,
20398  0.30348, 0.309111, 0.315045, 0.32124, 0.330464,
20399  0.339708, 0.351449, 0.364057, 0.378185, 0.394917,
20400  0.413162, 0.434127, 0.456517, 0.484787, 0.516984,
20401  0.552129, 0.594541, 0.639928, 0.696109, 0.758483,
20402  0.834527, 0.916892, 1.01787, 1.13408, 1.27143,
20403  1.42797, 1.59366, 1.76373, 1.92762, 2.01029,
20404  1.95187, 1.63396, 1.02306, 0.329297, 0.00683324,
20405  0.00694554, 0.337716, 1.04711, 1.66563, 1.98226,
20406  2.03875, 1.94756, 1.78839, 1.59992, 1.43367,
20407  1.27793, 1.14203, 1.02346, 0.9227, 0.835785,
20408  0.760573, 0.696014, 0.641629, 0.59498, 0.553418,
20409  0.518349, 0.48733, 0.459624, 0.436174, 0.413944,
20410  0.395539, 0.379895, 0.364236, 0.351139, 0.340868,
20411  0.331008, 0.322765, 0.315783, 0.308832, 0.304207,
20412  0.300198, 0.29684, 0.294773, 0.292152, 0.2916,
20413  0.291916, 0.292346, 0.2941, 0.296022, 0.300094,
20414  0.303591, 0.308884, 0.315806, 0.322069, 0.330969,
20415  0.341929, 0.351617, 0.364596, 0.379462, 0.394989,
20416  0.414196, 0.434958, 0.458938, 0.487524, 0.517213,
20417  0.554783, 0.59411, 0.643558, 0.696815, 0.762094,
20418  0.837314, 0.923378, 1.02415, 1.1442, 1.27748,
20419  1.43643, 1.6079, 1.78381, 1.94691, 2.03428,
20420  1.98536, 1.66405, 1.04578, 0.338104, 0.00696914,
20421  0.00711015, 0.347594, 1.07238, 1.70031, 2.01618,
20422  2.06903, 1.97162, 1.80265, 1.61623, 1.44458,
20423  1.28326, 1.14528, 1.02988, 0.926791, 0.840769,
20424  0.764508, 0.699045, 0.645659, 0.596028, 0.553727,
20425  0.518898, 0.488413, 0.460986, 0.435198, 0.413799,
20426  0.394726, 0.380081, 0.365279, 0.35226, 0.341291,
20427  0.331869, 0.32349, 0.315429, 0.309613, 0.304389,
20428  0.30091, 0.296967, 0.294825, 0.292314, 0.291331,
20429  0.29241, 0.293334, 0.294551, 0.296731, 0.301088,
20430  0.30382, 0.309819, 0.316479, 0.322466, 0.332101,
20431  0.340998, 0.351803, 0.365322, 0.379234, 0.395809,
20432  0.415481, 0.435911, 0.460139, 0.488283, 0.519398,
20433  0.555, 0.597401, 0.646067, 0.701501, 0.764862,
20434  0.837817, 0.926802, 1.0287, 1.14831, 1.29116,
20435  1.44407, 1.61237, 1.80381, 1.96392, 2.07268,
20436  2.0172, 1.69829, 1.07027, 0.34694, 0.00710858,
20437  0.00723765, 0.356903, 1.09916, 1.73399, 2.05063,
20438  2.09903, 1.98724, 1.81806, 1.63406, 1.45539,
20439  1.29172, 1.15624, 1.03382, 0.93163, 0.845417,
20440  0.765507, 0.70319, 0.647051, 0.598316, 0.557517,
20441  0.521949, 0.488314, 0.461943, 0.43797, 0.416278,
20442  0.396499, 0.380944, 0.366186, 0.352972, 0.342782,
20443  0.331926, 0.323995, 0.317326, 0.310395, 0.304644,
20444  0.301337, 0.297642, 0.296381, 0.294245, 0.292933,
20445  0.292848, 0.294624, 0.295367, 0.298192, 0.300915,
20446  0.305069, 0.309228, 0.316661, 0.323274, 0.332505,
20447  0.342817, 0.353589, 0.365242, 0.380446, 0.396782,
20448  0.416545, 0.439263, 0.461847, 0.490891, 0.520359,
20449  0.556773, 0.598396, 0.646971, 0.702443, 0.76768,
20450  0.842946, 0.9288, 1.03542, 1.15162, 1.29337,
20451  1.45138, 1.63609, 1.81522, 1.98897, 2.0972,
20452  2.04627, 1.73445, 1.10072, 0.357072, 0.00723643,
20453  0.00738964, 0.366806, 1.12571, 1.77031, 2.08083,
20454  2.12449, 2.01852, 1.83724, 1.64591, 1.46541,
20455  1.30559, 1.15927, 1.03849, 0.935054, 0.847548,
20456  0.772004, 0.705383, 0.64879, 0.603025, 0.560548,
20457  0.521514, 0.490621, 0.463411, 0.439888, 0.416377,
20458  0.398913, 0.381104, 0.367616, 0.355481, 0.342922,
20459  0.333088, 0.324179, 0.319115, 0.311551, 0.305953,
20460  0.302662, 0.299044, 0.295596, 0.293595, 0.293778,
20461  0.294247, 0.29485, 0.2958, 0.29906, 0.301198,
20462  0.305818, 0.310849, 0.317253, 0.324229, 0.333881,
20463  0.341672, 0.353427, 0.366922, 0.382273, 0.398166,
20464  0.416751, 0.43826, 0.46301, 0.490438, 0.521937,
20465  0.558115, 0.600234, 0.649003, 0.704689, 0.770738,
20466  0.842923, 0.937616, 1.03954, 1.1605, 1.3019,
20467  1.4635, 1.64429, 1.84015, 2.00838, 2.13086,
20468  2.08258, 1.76342, 1.12704, 0.365547, 0.00737538,
20469  0.00752783, 0.375736, 1.15699, 1.80444, 2.11573,
20470  2.15665, 2.03682, 1.85561, 1.64903, 1.47434,
20471  1.31114, 1.16675, 1.04487, 0.939282, 0.850217,
20472  0.772835, 0.706755, 0.650566, 0.60317, 0.560903,
20473  0.524084, 0.491582, 0.464311, 0.439995, 0.41799,
20474  0.398059, 0.382788, 0.36898, 0.355514, 0.343696,
20475  0.334382, 0.325267, 0.31834, 0.312442, 0.307539,
20476  0.303632, 0.298919, 0.297474, 0.295748, 0.294086,
20477  0.293827, 0.295371, 0.296783, 0.299358, 0.302328,
20478  0.306673, 0.311175, 0.317934, 0.325731, 0.334602,
20479  0.343113, 0.355715, 0.367361, 0.38278, 0.400282,
20480  0.417917, 0.440319, 0.464639, 0.491501, 0.525098,
20481  0.559736, 0.601923, 0.649663, 0.707625, 0.77361,
20482  0.852604, 0.939885, 1.04429, 1.165, 1.31102,
20483  1.47481, 1.65694, 1.85584, 2.03547, 2.15413,
20484  2.12044, 1.80755, 1.15403, 0.376738, 0.00753496,
20485  0.00768283, 0.38694, 1.17993, 1.84333, 2.14769,
20486  2.18472, 2.05719, 1.87248, 1.67063, 1.48473,
20487  1.31468, 1.17175, 1.04893, 0.942394, 0.852139,
20488  0.776732, 0.708921, 0.654177, 0.606846, 0.561997,
20489  0.525697, 0.493259, 0.464467, 0.440719, 0.419103,
20490  0.401212, 0.384134, 0.369049, 0.356377, 0.343686,
20491  0.335357, 0.32713, 0.318513, 0.312652, 0.307241,
20492  0.303522, 0.300172, 0.297798, 0.29591, 0.295207,
20493  0.294449, 0.2957, 0.296569, 0.299839, 0.303334,
20494  0.306906, 0.313326, 0.319721, 0.326026, 0.33569,
20495  0.344744, 0.355757, 0.367853, 0.384309, 0.399508,
20496  0.419, 0.441451, 0.465455, 0.492375, 0.526162,
20497  0.5603, 0.603651, 0.65258, 0.71058, 0.77722,
20498  0.852185, 0.941879, 1.04863, 1.17009, 1.31722,
20499  1.48492, 1.6734, 1.86661, 2.06156, 2.18254,
20500  2.15097, 1.8412, 1.17953, 0.38771, 0.00765339,
20501  0.00783001, 0.396419, 1.20884, 1.8796, 2.18532,
20502  2.22002, 2.07526, 1.88828, 1.68853, 1.491,
20503  1.32658, 1.17885, 1.04909, 0.950417, 0.858473,
20504  0.77777, 0.712818, 0.656038, 0.608104, 0.562775,
20505  0.527504, 0.49684, 0.466633, 0.443129, 0.419484,
20506  0.400949, 0.384446, 0.370385, 0.356999, 0.344979,
20507  0.336823, 0.328522, 0.319964, 0.314048, 0.308671,
20508  0.304141, 0.300931, 0.297766, 0.297671, 0.296155,
20509  0.296242, 0.295443, 0.298217, 0.301777, 0.304438,
20510  0.309244, 0.31306, 0.319574, 0.327655, 0.336079,
20511  0.344276, 0.356119, 0.369825, 0.384389, 0.401521,
20512  0.419854, 0.442157, 0.467109, 0.493397, 0.527294,
20513  0.563747, 0.605527, 0.656751, 0.713714, 0.780435,
20514  0.855571, 0.946074, 1.05696, 1.17568, 1.32287,
20515  1.49598, 1.68656, 1.89457, 2.08021, 2.21055,
20516  2.18621, 1.87294, 1.21117, 0.397571, 0.00780206,
20517  0.00794696, 0.406821, 1.23872, 1.91009, 2.22444,
20518  2.24438, 2.10236, 1.90477, 1.69777, 1.50259,
20519  1.33238, 1.18252, 1.05928, 0.952232, 0.858804,
20520  0.780454, 0.716574, 0.658299, 0.609965, 0.564746,
20521  0.526341, 0.496397, 0.468978, 0.442923, 0.420232,
20522  0.403336, 0.384904, 0.37034, 0.3573, 0.347381,
20523  0.336745, 0.327596, 0.32, 0.315113, 0.309793,
20524  0.305003, 0.301756, 0.299142, 0.297527, 0.29632,
20525  0.295824, 0.296756, 0.29908, 0.301734, 0.304268,
20526  0.308218, 0.314312, 0.320772, 0.327796, 0.336963,
20527  0.346989, 0.357412, 0.370865, 0.384679, 0.402391,
20528  0.421566, 0.442492, 0.46812, 0.497454, 0.528751,
20529  0.565383, 0.608272, 0.657704, 0.713478, 0.783447,
20530  0.859319, 0.94946, 1.0566, 1.18363, 1.33311,
20531  1.50546, 1.69599, 1.90415, 2.10576, 2.24627,
20532  2.22323, 1.91391, 1.23904, 0.407588, 0.0079849,
20533  0.0081142, 0.418264, 1.26782, 1.95013, 2.26324,
20534  2.26939, 2.12721, 1.92239, 1.7115, 1.51285,
20535  1.34004, 1.19286, 1.06229, 0.951, 0.865374,
20536  0.786578, 0.717691, 0.660072, 0.610918, 0.569314,
20537  0.530871, 0.497999, 0.469832, 0.44401, 0.423252,
20538  0.405018, 0.386258, 0.371891, 0.358658, 0.348258,
20539  0.337597, 0.328525, 0.321804, 0.316779, 0.309928,
20540  0.304966, 0.302695, 0.299478, 0.297927, 0.297099,
20541  0.297938, 0.29842, 0.299153, 0.302403, 0.30594,
20542  0.31009, 0.315563, 0.321752, 0.329126, 0.337156,
20543  0.347483, 0.357962, 0.372139, 0.386978, 0.402829,
20544  0.423145, 0.445722, 0.470461, 0.497351, 0.531283,
20545  0.566607, 0.609927, 0.660469, 0.717173, 0.783325,
20546  0.863529, 0.955057, 1.06405, 1.19034, 1.34054,
20547  1.51593, 1.71243, 1.91511, 2.12396, 2.27513,
20548  2.25845, 1.94958, 1.26805, 0.418543, 0.00808724,
20549  0.00825139, 0.42777, 1.2963, 1.98766, 2.29365,
20550  2.29659, 2.14717, 1.93637, 1.72344, 1.52057,
20551  1.34351, 1.19828, 1.07229, 0.959896, 0.86449,
20552  0.787157, 0.721031, 0.661986, 0.613561, 0.569242,
20553  0.53123, 0.498292, 0.470152, 0.446412, 0.423999,
20554  0.403981, 0.38702, 0.372581, 0.358383, 0.34845,
20555  0.338235, 0.330376, 0.322636, 0.316286, 0.311479,
20556  0.306256, 0.303501, 0.300789, 0.298069, 0.297906,
20557  0.297196, 0.298278, 0.300261, 0.302958, 0.304833,
20558  0.310637, 0.315094, 0.321684, 0.330083, 0.337958,
20559  0.348176, 0.359068, 0.371789, 0.388, 0.403794,
20560  0.42324, 0.444666, 0.470358, 0.500134, 0.531451,
20561  0.569284, 0.611624, 0.662105, 0.719827, 0.787764,
20562  0.864257, 0.961284, 1.06509, 1.19715, 1.34819,
20563  1.52155, 1.72043, 1.94553, 2.15006, 2.2982,
20564  2.28915, 1.98902, 1.29467, 0.428167, 0.00823968,
20565  0.00837059, 0.439228, 1.32305, 2.02344, 2.3269,
20566  2.32314, 2.16957, 1.95823, 1.73736, 1.53366,
20567  1.35629, 1.20166, 1.0732, 0.963495, 0.869626,
20568  0.791828, 0.72078, 0.664198, 0.613675, 0.570981,
20569  0.53192, 0.499551, 0.472364, 0.446164, 0.423679,
20570  0.405594, 0.387703, 0.373413, 0.36087, 0.348588,
20571  0.338668, 0.329545, 0.322779, 0.317124, 0.310681,
20572  0.307225, 0.302884, 0.301576, 0.299891, 0.298378,
20573  0.298318, 0.29973, 0.299789, 0.304157, 0.306904,
20574  0.311849, 0.315645, 0.32395, 0.329938, 0.339223,
20575  0.34821, 0.359398, 0.373583, 0.388591, 0.406135,
20576  0.425429, 0.447457, 0.470091, 0.50029, 0.53367,
20577  0.571419, 0.61308, 0.663515, 0.722297, 0.790978,
20578  0.869397, 0.962908, 1.07406, 1.20295, 1.35373,
20579  1.53515, 1.73365, 1.95695, 2.1727, 2.3272,
20580  2.33046, 2.0323, 1.32213, 0.440193, 0.00838992,
20581  0.00852955, 0.451899, 1.35188, 2.06618, 2.35656,
20582  2.35922, 2.19804, 1.9658, 1.74951, 1.54277,
20583  1.35539, 1.21058, 1.07829, 0.968574, 0.871292,
20584  0.792537, 0.72534, 0.668274, 0.616245, 0.572616,
20585  0.534089, 0.501244, 0.472692, 0.447537, 0.425631,
20586  0.406493, 0.388683, 0.375107, 0.361188, 0.348831,
20587  0.33881, 0.330759, 0.324111, 0.31805, 0.312885,
20588  0.307725, 0.303473, 0.300985, 0.299097, 0.298852,
20589  0.298693, 0.300294, 0.300928, 0.304721, 0.307473,
20590  0.311772, 0.317672, 0.323623, 0.331283, 0.339624,
20591  0.349523, 0.362733, 0.374092, 0.390033, 0.406425,
20592  0.425814, 0.448029, 0.472562, 0.501602, 0.535729,
20593  0.571869, 0.616356, 0.666059, 0.723678, 0.792614,
20594  0.872783, 0.965646, 1.07953, 1.20311, 1.36149,
20595  1.54457, 1.74666, 1.97149, 2.19304, 2.35415,
20596  2.36006, 2.06293, 1.35246, 0.452952, 0.00852105,
20597  0.00868276, 0.462782, 1.38642, 2.10316, 2.40225,
20598  2.38313, 2.21122, 1.99122, 1.75919, 1.55216,
20599  1.37045, 1.21424, 1.08052, 0.968921, 0.878041,
20600  0.794898, 0.729146, 0.667756, 0.617496, 0.573989,
20601  0.535191, 0.504485, 0.474415, 0.44944, 0.427202,
20602  0.406779, 0.389884, 0.376441, 0.362386, 0.3514,
20603  0.341027, 0.331809, 0.323622, 0.318638, 0.312694,
20604  0.308754, 0.306205, 0.301931, 0.301282, 0.299589,
20605  0.300082, 0.300057, 0.302414, 0.304829, 0.308314,
20606  0.312755, 0.318591, 0.323273, 0.331183, 0.34055,
20607  0.350616, 0.363146, 0.374845, 0.390502, 0.407672,
20608  0.427744, 0.449211, 0.472962, 0.503684, 0.535355,
20609  0.575091, 0.616947, 0.669281, 0.727571, 0.798436,
20610  0.875006, 0.969836, 1.08404, 1.2124, 1.37191,
20611  1.55181, 1.75765, 1.9876, 2.20607, 2.38549,
20612  2.39329, 2.09898, 1.38605, 0.463132, 0.00870129,
20613  0.00885629, 0.474522, 1.41258, 2.15174, 2.43779,
20614  2.41684, 2.2368, 2.00452, 1.76834, 1.56103,
20615  1.37815, 1.22212, 1.08605, 0.97323, 0.878117,
20616  0.798989, 0.728166, 0.671062, 0.619334, 0.576121,
20617  0.536514, 0.504839, 0.475933, 0.449859, 0.428041,
20618  0.409113, 0.39232, 0.375255, 0.362823, 0.350545,
20619  0.342085, 0.331779, 0.325694, 0.319138, 0.313815,
20620  0.309127, 0.305176, 0.302962, 0.301354, 0.30017,
20621  0.300355, 0.301981, 0.302727, 0.305654, 0.308847,
20622  0.314141, 0.318287, 0.324147, 0.33308, 0.341868,
20623  0.351997, 0.362207, 0.376722, 0.391337, 0.408362,
20624  0.428815, 0.450992, 0.475902, 0.503444, 0.537384,
20625  0.575613, 0.619006, 0.669632, 0.729413, 0.797525,
20626  0.879727, 0.972753, 1.08727, 1.22066, 1.38215,
20627  1.55944, 1.77588, 2.00051, 2.24291, 2.41544,
20628  2.42942, 2.13618, 1.41851, 0.473881, 0.00883623,
20629  0.00899188, 0.486785, 1.44429, 2.17844, 2.47283,
20630  2.44273, 2.25241, 2.01062, 1.785, 1.56583,
20631  1.37991, 1.22401, 1.0907, 0.978122, 0.881751,
20632  0.802726, 0.732875, 0.673193, 0.622266, 0.576868,
20633  0.53857, 0.506368, 0.47782, 0.452025, 0.42912,
20634  0.409761, 0.392442, 0.378042, 0.365299, 0.351993,
20635  0.342409, 0.334256, 0.326018, 0.320507, 0.314075,
20636  0.31028, 0.305992, 0.303318, 0.303195, 0.30161,
20637  0.301655, 0.301507, 0.303738, 0.305815, 0.310112,
20638  0.314429, 0.319173, 0.326813, 0.333042, 0.341559,
20639  0.352702, 0.364175, 0.377168, 0.392805, 0.410181,
20640  0.429116, 0.452723, 0.475628, 0.50641, 0.538558,
20641  0.575606, 0.621435, 0.671675, 0.733595, 0.803363,
20642  0.884016, 0.978702, 1.09204, 1.22597, 1.38462,
20643  1.57491, 1.78445, 2.01734, 2.25812, 2.44561,
20644  2.46913, 2.18005, 1.44965, 0.487258, 0.00895627,
20645  0.00912988, 0.498746, 1.47861, 2.22054, 2.50768,
20646  2.47339, 2.28009, 2.03581, 1.79557, 1.57867,
20647  1.3936, 1.23262, 1.09374, 0.987102, 0.883399,
20648  0.803904, 0.735872, 0.673898, 0.622281, 0.578019,
20649  0.540735, 0.505938, 0.476962, 0.452372, 0.430569,
20650  0.410497, 0.394029, 0.378617, 0.365191, 0.353676,
20651  0.343596, 0.333774, 0.326669, 0.319772, 0.315688,
20652  0.310466, 0.307162, 0.305379, 0.302247, 0.301208,
20653  0.30234, 0.303391, 0.304602, 0.30674, 0.309999,
20654  0.314548, 0.320164, 0.326161, 0.333426, 0.343878,
20655  0.353755, 0.365274, 0.377085, 0.393018, 0.409967,
20656  0.431191, 0.452387, 0.478385, 0.508733, 0.540941,
20657  0.579255, 0.624218, 0.674836, 0.734427, 0.802833,
20658  0.885805, 0.983525, 1.09453, 1.23147, 1.3942,
20659  1.57992, 1.79454, 2.03981, 2.28022, 2.47002,
20660  2.51327, 2.21665, 1.47826, 0.500161, 0.00915051,
20661  0.00928724, 0.512157, 1.50985, 2.25573, 2.54617,
20662  2.50464, 2.30313, 2.05116, 1.8084, 1.59295,
20663  1.40171, 1.23862, 1.10211, 0.985592, 0.88879,
20664  0.8066, 0.736814, 0.675896, 0.626289, 0.579903,
20665  0.54326, 0.510326, 0.480261, 0.453973, 0.430981,
20666  0.412156, 0.393056, 0.379563, 0.365812, 0.354417,
20667  0.34427, 0.334657, 0.327981, 0.32184, 0.315739,
20668  0.311743, 0.306984, 0.305072, 0.303549, 0.302103,
20669  0.303369, 0.303629, 0.304728, 0.307847, 0.310904,
20670  0.315421, 0.320717, 0.327366, 0.335205, 0.344474,
20671  0.35428, 0.365742, 0.379529, 0.394189, 0.411622,
20672  0.431553, 0.45339, 0.479079, 0.509533, 0.543,
20673  0.581398, 0.623311, 0.675119, 0.735018, 0.807473,
20674  0.890411, 0.984829, 1.10417, 1.23986, 1.39636,
20675  1.58805, 1.80787, 2.05446, 2.30059, 2.50064,
20676  2.54181, 2.26071, 1.51202, 0.510818, 0.00930547,
20677  0.00944689, 0.523878, 1.54187, 2.29419, 2.57882,
20678  2.52889, 2.32517, 2.07297, 1.81431, 1.59969,
20679  1.40806, 1.24152, 1.1047, 0.990393, 0.894308,
20680  0.809601, 0.740611, 0.67775, 0.628355, 0.582565,
20681  0.543111, 0.50882, 0.481038, 0.453661, 0.432594,
20682  0.411164, 0.394246, 0.379999, 0.366549, 0.356122,
20683  0.346711, 0.33705, 0.327346, 0.322149, 0.317344,
20684  0.312152, 0.307885, 0.305626, 0.303837, 0.303766,
20685  0.303595, 0.303412, 0.306337, 0.308068, 0.312027,
20686  0.317373, 0.321492, 0.327482, 0.33558, 0.345221,
20687  0.355339, 0.365603, 0.379605, 0.396049, 0.413994,
20688  0.4323, 0.455422, 0.480604, 0.51155, 0.542554,
20689  0.581482, 0.627131, 0.67921, 0.738636, 0.808792,
20690  0.894536, 0.991529, 1.10548, 1.24354, 1.40874,
20691  1.59909, 1.82522, 2.07148, 2.33142, 2.52806,
20692  2.58532, 2.3061, 1.54148, 0.523565, 0.00940808,
20693  0.0095619, 0.535565, 1.57587, 2.34685, 2.61728,
20694  2.55641, 2.34508, 2.08086, 1.83051, 1.60435,
20695  1.41212, 1.24912, 1.10931, 0.993405, 0.893057,
20696  0.811824, 0.743262, 0.680716, 0.628199, 0.583525,
20697  0.545715, 0.513629, 0.482228, 0.456208, 0.433806,
20698  0.413372, 0.396873, 0.380835, 0.367704, 0.356051,
20699  0.344968, 0.336263, 0.328896, 0.322817, 0.316601,
20700  0.312611, 0.309609, 0.306511, 0.304875, 0.303976,
20701  0.303945, 0.304425, 0.306783, 0.308897, 0.313237,
20702  0.316527, 0.321855, 0.328587, 0.336393, 0.346533,
20703  0.35596, 0.369079, 0.379709, 0.396641, 0.413452,
20704  0.433028, 0.455632, 0.482884, 0.510109, 0.544659,
20705  0.585806, 0.627196, 0.67873, 0.741233, 0.811096,
20706  0.896039, 0.993775, 1.10968, 1.24794, 1.41545,
20707  1.61159, 1.83212, 2.08547, 2.34095, 2.55532,
20708  2.61848, 2.33746, 1.57315, 0.53637, 0.009612,
20709  0.00976578, 0.550047, 1.61026, 2.38097, 2.64665,
20710  2.59926, 2.37109, 2.09904, 1.84911, 1.6158,
20711  1.42224, 1.25648, 1.1183, 1.00044, 0.898258,
20712  0.814428, 0.74582, 0.683054, 0.631185, 0.586031,
20713  0.547141, 0.512984, 0.482171, 0.45689, 0.434157,
20714  0.414646, 0.396522, 0.382059, 0.368834, 0.357304,
20715  0.344695, 0.337318, 0.329455, 0.322269, 0.317421,
20716  0.313284, 0.309552, 0.308526, 0.305929, 0.305276,
20717  0.304411, 0.305722, 0.308199, 0.310225, 0.314022,
20718  0.317871, 0.323236, 0.329381, 0.336868, 0.345898,
20719  0.356592, 0.367789, 0.381465, 0.396431, 0.415294,
20720  0.436231, 0.457432, 0.484241, 0.512435, 0.546966,
20721  0.586477, 0.630971, 0.684548, 0.743757, 0.816083,
20722  0.899009, 0.998594, 1.1118, 1.25259, 1.42109,
20723  1.61851, 1.84379, 2.10229, 2.37208, 2.59095,
20724  2.65924, 2.3796, 1.6109, 0.549688, 0.00977016,
20725  0.00988558, 0.561974, 1.6423, 2.427, 2.69194,
20726  2.62182, 2.39024, 2.12096, 1.85677, 1.62933,
20727  1.42608, 1.26133, 1.11924, 1.00209, 0.899463,
20728  0.819118, 0.743929, 0.685376, 0.632668, 0.586786,
20729  0.548712, 0.513343, 0.485309, 0.458839, 0.435145,
20730  0.414291, 0.397399, 0.383486, 0.37026, 0.356655,
20731  0.347605, 0.337337, 0.33186, 0.324854, 0.317449,
20732  0.314504, 0.310222, 0.308208, 0.307429, 0.305323,
20733  0.305306, 0.306849, 0.308463, 0.310727, 0.315199,
20734  0.318109, 0.324873, 0.329711, 0.338795, 0.347439,
20735  0.35847, 0.36895, 0.382544, 0.398543, 0.416621,
20736  0.43426, 0.460837, 0.485042, 0.512679, 0.54716,
20737  0.587178, 0.633633, 0.684819, 0.74529, 0.81823,
20738  0.90095, 1.00071, 1.12175, 1.25833, 1.42398,
20739  1.62014, 1.85989, 2.11825, 2.38817, 2.62084,
20740  2.69219, 2.4251, 1.64241, 0.562108, 0.00994999,
20741  0.0100793, 0.576605, 1.67857, 2.46849, 2.71547,
20742  2.65229, 2.41384, 2.1341, 1.86827, 1.63459,
20743  1.43886, 1.26641, 1.12356, 1.00362, 0.902948,
20744  0.820357, 0.748062, 0.688422, 0.633274, 0.58894,
20745  0.549875, 0.514525, 0.484405, 0.459197, 0.436125,
20746  0.416331, 0.398608, 0.38323, 0.370308, 0.358442,
20747  0.3483, 0.339009, 0.331882, 0.325068, 0.318838,
20748  0.315432, 0.312452, 0.309016, 0.307279, 0.305896,
20749  0.30558, 0.307124, 0.308804, 0.309977, 0.315354,
20750  0.320166, 0.32549, 0.331166, 0.338873, 0.347572,
20751  0.358702, 0.369853, 0.383894, 0.399672, 0.416663,
20752  0.436697, 0.460551, 0.485031, 0.514769, 0.548522,
20753  0.589115, 0.635059, 0.686359, 0.74799, 0.822451,
20754  0.902429, 1.00531, 1.12171, 1.26819, 1.4338,
20755  1.63392, 1.87063, 2.13398, 2.40917, 2.645,
20756  2.73435, 2.45967, 1.6788, 0.57731, 0.0100692,
20757  0.0102284, 0.589577, 1.70803, 2.50183, 2.76751,
20758  2.67759, 2.43556, 2.1509, 1.88372, 1.64149,
20759  1.44428, 1.27054, 1.12687, 1.00904, 0.908912,
20760  0.823274, 0.751147, 0.688403, 0.635825, 0.590416,
20761  0.551614, 0.516393, 0.486781, 0.460494, 0.437745,
20762  0.417769, 0.400499, 0.384016, 0.372182, 0.35912,
20763  0.348601, 0.338448, 0.332476, 0.324741, 0.32037,
20764  0.315191, 0.312953, 0.307726, 0.307142, 0.307109,
20765  0.307193, 0.306291, 0.308978, 0.311202, 0.314991,
20766  0.320067, 0.32472, 0.332003, 0.339163, 0.348596,
20767  0.35968, 0.371144, 0.385785, 0.400297, 0.416232,
20768  0.438451, 0.461321, 0.487871, 0.517098, 0.550154,
20769  0.590591, 0.636477, 0.687644, 0.749069, 0.821795,
20770  0.905918, 1.00589, 1.12728, 1.27208, 1.44541,
20771  1.64725, 1.88104, 2.1473, 2.4284, 2.67337,
20772  2.76191, 2.49711, 1.71051, 0.590625, 0.0102,
20773  0.0104034, 0.605298, 1.75015, 2.54936, 2.79877,
20774  2.70403, 2.4581, 2.16075, 1.89196, 1.65501,
20775  1.44675, 1.27774, 1.1322, 1.01368, 0.914532,
20776  0.824178, 0.75403, 0.690073, 0.638445, 0.591193,
20777  0.553826, 0.517644, 0.489073, 0.461702, 0.439655,
20778  0.418527, 0.400438, 0.38577, 0.371668, 0.361051,
20779  0.350103, 0.339934, 0.334086, 0.327123, 0.320876,
20780  0.316824, 0.312822, 0.310064, 0.309374, 0.307303,
20781  0.30649, 0.308447, 0.310293, 0.312525, 0.316639,
20782  0.321709, 0.326202, 0.333264, 0.339164, 0.34859,
20783  0.360781, 0.372154, 0.386242, 0.400324, 0.418691,
20784  0.438229, 0.461954, 0.488218, 0.519112, 0.552442,
20785  0.592112, 0.635863, 0.690905, 0.753976, 0.823427,
20786  0.910151, 1.00954, 1.13552, 1.27691, 1.45245,
20787  1.64825, 1.89409, 2.17255, 2.45849, 2.69666,
20788  2.8059, 2.54155, 1.74917, 0.602186, 0.0103779,
20789  0.0105174, 0.619036, 1.77609, 2.59238, 2.83189,
20790  2.73388, 2.46939, 2.17686, 1.90176, 1.66121,
20791  1.45193, 1.27742, 1.1364, 1.01594, 0.913182,
20792  0.825131, 0.754968, 0.694416, 0.639177, 0.595502,
20793  0.553345, 0.519199, 0.49022, 0.464097, 0.438942,
20794  0.421216, 0.402169, 0.385232, 0.373317, 0.361156,
20795  0.349611, 0.34066, 0.333676, 0.327343, 0.320098,
20796  0.316637, 0.313316, 0.310359, 0.309618, 0.307675,
20797  0.306877, 0.309448, 0.310506, 0.314768, 0.31844,
20798  0.322091, 0.326498, 0.334259, 0.341547, 0.350383,
20799  0.360644, 0.372513, 0.386826, 0.402509, 0.41868,
20800  0.440227, 0.463197, 0.489728, 0.518162, 0.553791,
20801  0.590862, 0.639562, 0.691751, 0.754255, 0.830024,
20802  0.9138, 1.01479, 1.13867, 1.27854, 1.45523,
20803  1.65529, 1.90088, 2.18148, 2.47276, 2.73742,
20804  2.84146, 2.59346, 1.77817, 0.616626, 0.0105291,
20805  0.0107054, 0.631913, 1.81703, 2.6362, 2.86467,
20806  2.76015, 2.49083, 2.19477, 1.91638, 1.66963,
20807  1.46579, 1.28451, 1.14052, 1.02007, 0.916587,
20808  0.832079, 0.757095, 0.697082, 0.639367, 0.5949,
20809  0.556098, 0.521133, 0.48961, 0.464677, 0.441013,
20810  0.420724, 0.403721, 0.386814, 0.374387, 0.361754,
20811  0.350669, 0.342332, 0.335631, 0.327377, 0.324697,
20812  0.318494, 0.313672, 0.310758, 0.310205, 0.308268,
20813  0.309081, 0.310326, 0.311667, 0.314255, 0.31704,
20814  0.322324, 0.328729, 0.335367, 0.34296, 0.352105,
20815  0.360056, 0.373708, 0.386647, 0.40371, 0.42117,
20816  0.441093, 0.464581, 0.491177, 0.521247, 0.552991,
20817  0.597012, 0.641461, 0.693349, 0.757099, 0.82952,
20818  0.915642, 1.01679, 1.14137, 1.28944, 1.45994,
20819  1.67004, 1.91275, 2.18907, 2.49532, 2.76263,
20820  2.87306, 2.62438, 1.82273, 0.63255, 0.0107268,
20821  0.0108945, 0.646368, 1.85628, 2.6697, 2.91508,
20822  2.7924, 2.5179, 2.21745, 1.92625, 1.67658,
20823  1.47158, 1.29194, 1.14615, 1.02187, 0.920633,
20824  0.831381, 0.75753, 0.697066, 0.642269, 0.595994,
20825  0.555286, 0.522585, 0.490895, 0.465374, 0.440918,
20826  0.421174, 0.40273, 0.388992, 0.37541, 0.361716,
20827  0.351727, 0.342719, 0.334956, 0.328531, 0.32402,
20828  0.318912, 0.315588, 0.312277, 0.310475, 0.309524,
20829  0.309129, 0.310931, 0.311231, 0.314556, 0.317526,
20830  0.322248, 0.327603, 0.335165, 0.342879, 0.350624,
20831  0.361128, 0.374928, 0.388782, 0.404255, 0.420617,
20832  0.443968, 0.465512, 0.491749, 0.523035, 0.555877,
20833  0.597664, 0.641838, 0.696418, 0.76047, 0.832708,
20834  0.922063, 1.02348, 1.14877, 1.29436, 1.46527,
20835  1.67564, 1.92963, 2.20978, 2.51576, 2.78639,
20836  2.91561, 2.67679, 1.85434, 0.646021, 0.0108775,
20837  0.0110489, 0.66252, 1.88905, 2.72357, 2.94628,
20838  2.82233, 2.52974, 2.23165, 1.94039, 1.68694,
20839  1.47633, 1.29758, 1.1495, 1.02504, 0.922288,
20840  0.834409, 0.76174, 0.698249, 0.645674, 0.599456,
20841  0.55879, 0.523478, 0.493835, 0.467567, 0.444143,
20842  0.425387, 0.403805, 0.389064, 0.375423, 0.36336,
20843  0.352691, 0.344216, 0.3361, 0.329519, 0.32263,
20844  0.3203, 0.315383, 0.313544, 0.309857, 0.310104,
20845  0.310131, 0.311547, 0.313495, 0.314882, 0.319778,
20846  0.324535, 0.329546, 0.336053, 0.342814, 0.351719,
20847  0.362569, 0.373731, 0.389891, 0.403805, 0.42157,
20848  0.444315, 0.466282, 0.49223, 0.522978, 0.557715,
20849  0.598488, 0.645171, 0.698424, 0.759619, 0.835678,
20850  0.91915, 1.02608, 1.15027, 1.29738, 1.46936,
20851  1.68817, 1.94074, 2.22643, 2.54393, 2.82192,
20852  2.95043, 2.72035, 1.88017, 0.661517, 0.0110273,
20853  0.0111844, 0.678222, 1.92672, 2.76178, 2.97718,
20854  2.84921, 2.55626, 2.24551, 1.95075, 1.69817,
20855  1.48044, 1.30312, 1.1509, 1.03406, 0.92816,
20856  0.838702, 0.765816, 0.698912, 0.645487, 0.60004,
20857  0.560605, 0.525338, 0.494399, 0.467643, 0.443732,
20858  0.423843, 0.406474, 0.390906, 0.376349, 0.364762,
20859  0.353733, 0.344234, 0.336331, 0.330269, 0.325571,
20860  0.320328, 0.31676, 0.314261, 0.311131, 0.312196,
20861  0.310732, 0.311085, 0.313705, 0.316594, 0.319323,
20862  0.323514, 0.330183, 0.335759, 0.344567, 0.353278,
20863  0.36391, 0.376179, 0.390063, 0.405094, 0.423172,
20864  0.444365, 0.467666, 0.494407, 0.524114, 0.558478,
20865  0.599815, 0.646997, 0.700944, 0.764759, 0.840361,
20866  0.923233, 1.0305, 1.15221, 1.30189, 1.48179,
20867  1.69971, 1.94616, 2.24303, 2.55882, 2.8455,
20868  2.99474, 2.76412, 1.93072, 0.676091, 0.0112266,
20869  0.0113604, 0.693295, 1.96709, 2.79722, 3.02986,
20870  2.87667, 2.5834, 2.26752, 1.96003, 1.70129,
20871  1.49092, 1.31033, 1.16262, 1.03178, 0.929266,
20872  0.840727, 0.76463, 0.703694, 0.648027, 0.601843,
20873  0.561139, 0.524671, 0.494712, 0.469149, 0.445394,
20874  0.426138, 0.406398, 0.39046, 0.376625, 0.365548,
20875  0.353684, 0.345722, 0.336845, 0.330772, 0.324652,
20876  0.320738, 0.31671, 0.31429, 0.312813, 0.310923,
20877  0.311298, 0.313859, 0.314056, 0.316592, 0.320076,
20878  0.324195, 0.330594, 0.33733, 0.344602, 0.35386,
20879  0.365709, 0.377636, 0.391127, 0.407199, 0.426584,
20880  0.444468, 0.470049, 0.493698, 0.524122, 0.561036,
20881  0.601126, 0.648992, 0.702492, 0.766643, 0.841958,
20882  0.929178, 1.03485, 1.15808, 1.31038, 1.48785,
20883  1.70148, 1.95538, 2.26069, 2.5785, 2.87044,
20884  3.03122, 2.80189, 1.9526, 0.696228, 0.0113838,
20885  0.0115483, 0.706058, 2.00707, 2.84947, 3.06081,
20886  2.89984, 2.59968, 2.27709, 1.96833, 1.71144,
20887  1.49334, 1.30972, 1.16391, 1.03478, 0.932896,
20888  0.842854, 0.769835, 0.704105, 0.651295, 0.604406,
20889  0.562882, 0.526368, 0.495497, 0.469165, 0.44756,
20890  0.425528, 0.40885, 0.39134, 0.377607, 0.365027,
20891  0.354972, 0.34646, 0.338757, 0.330195, 0.325545,
20892  0.321121, 0.317318, 0.31563, 0.31354, 0.313081,
20893  0.31224, 0.312213, 0.315293, 0.318855, 0.321548,
20894  0.325065, 0.332234, 0.337073, 0.34678, 0.354188,
20895  0.366296, 0.37846, 0.393071, 0.408495, 0.42676,
20896  0.445882, 0.471025, 0.496184, 0.527897, 0.562005,
20897  0.603147, 0.647428, 0.705646, 0.76784, 0.84682,
20898  0.930829, 1.03669, 1.16315, 1.31178, 1.49396,
20899  1.72196, 1.97573, 2.2778, 2.59824, 2.90803,
20900  3.05292, 2.84673, 2.00278, 0.708853, 0.0115851,
20901  0.0116667, 0.724448, 2.04047, 2.89618, 3.09553,
20902  2.92188, 2.62125, 2.29554, 1.98895, 1.72931,
20903  1.50232, 1.3186, 1.16644, 1.04028, 0.938714,
20904  0.847335, 0.768809, 0.704696, 0.652088, 0.603449,
20905  0.563091, 0.529125, 0.497164, 0.471292, 0.446538,
20906  0.426035, 0.408385, 0.392507, 0.379108, 0.365113,
20907  0.355908, 0.347478, 0.339372, 0.333088, 0.326329,
20908  0.321843, 0.318884, 0.31624, 0.313188, 0.313803,
20909  0.313823, 0.313785, 0.315491, 0.31948, 0.321036,
20910  0.326775, 0.332733, 0.3389, 0.34692, 0.355924,
20911  0.366631, 0.379149, 0.393491, 0.409304, 0.427568,
20912  0.447773, 0.469939, 0.497572, 0.529502, 0.564159,
20913  0.603883, 0.652446, 0.707396, 0.770182, 0.846545,
20914  0.933315, 1.04035, 1.17075, 1.31869, 1.50218,
20915  1.72168, 1.98286, 2.28218, 2.61888, 2.93713,
20916  3.10534, 2.89303, 2.04169, 0.725805, 0.011681,
20917  0.0118986, 0.740467, 2.08552, 2.93489, 3.13643,
20918  2.96299, 2.64228, 2.31139, 1.99226, 1.72562,
20919  1.50973, 1.32525, 1.16969, 1.04229, 0.93696,
20920  0.849611, 0.772115, 0.710168, 0.653991, 0.606362,
20921  0.565959, 0.528827, 0.499947, 0.471681, 0.449691,
20922  0.42806, 0.408587, 0.393499, 0.379313, 0.366721,
20923  0.357121, 0.347638, 0.340362, 0.334004, 0.327352,
20924  0.324364, 0.318894, 0.317267, 0.314998, 0.312971,
20925  0.314651, 0.3144, 0.316269, 0.319065, 0.323792,
20926  0.327653, 0.332736, 0.339002, 0.346816, 0.355401,
20927  0.367773, 0.38046, 0.393453, 0.409712, 0.428754,
20928  0.449726, 0.472512, 0.498254, 0.529952, 0.564132,
20929  0.605584, 0.655054, 0.708864, 0.775619, 0.849737,
20930  0.939443, 1.04381, 1.17315, 1.3274, 1.50917,
20931  1.73412, 1.99905, 2.30749, 2.63708, 2.96419,
20932  3.14082, 2.9424, 2.08645, 0.741, 0.0118318,
20933  0.0120512, 0.755734, 2.12173, 2.9722, 3.17151,
20934  2.99008, 2.6604, 2.31926, 2.00527, 1.73757,
20935  1.5152, 1.32858, 1.17591, 1.048, 0.941872,
20936  0.851861, 0.777975, 0.708925, 0.655733, 0.607174,
20937  0.567629, 0.529864, 0.500805, 0.472059, 0.447571,
20938  0.429074, 0.409666, 0.394574, 0.379848, 0.370006,
20939  0.356261, 0.347761, 0.339807, 0.333859, 0.328218,
20940  0.323425, 0.319891, 0.317526, 0.314699, 0.314908,
20941  0.314154, 0.315296, 0.318557, 0.318752, 0.323083,
20942  0.327788, 0.333962, 0.340539, 0.348189, 0.357601,
20943  0.367957, 0.380077, 0.394139, 0.410657, 0.428922,
20944  0.450675, 0.472978, 0.500817, 0.53229, 0.566538,
20945  0.60934, 0.655558, 0.710134, 0.775417, 0.851624,
20946  0.943587, 1.04985, 1.17295, 1.32929, 1.51445,
20947  1.74266, 2.01246, 2.32874, 2.67087, 2.98777,
20948  3.17186, 2.97377, 2.11884, 0.756188, 0.0119887,
20949  0.0122061, 0.7743, 2.15625, 3.02728, 3.21744,
20950  3.02523, 2.68307, 2.33435, 2.01907, 1.74675,
20951  1.52466, 1.33837, 1.1771, 1.05054, 0.944556,
20952  0.852692, 0.777152, 0.71437, 0.657746, 0.610423,
20953  0.568014, 0.53142, 0.502639, 0.474164, 0.451998,
20954  0.430195, 0.41264, 0.394906, 0.382124, 0.368226,
20955  0.35701, 0.348783, 0.340285, 0.335395, 0.329485,
20956  0.323444, 0.319813, 0.317647, 0.316408, 0.314823,
20957  0.315834, 0.316451, 0.31709, 0.318819, 0.323976,
20958  0.328551, 0.333946, 0.340876, 0.349654, 0.359387,
20959  0.368958, 0.381111, 0.395672, 0.412038, 0.428838,
20960  0.449985, 0.474377, 0.502514, 0.532865, 0.568369,
20961  0.611002, 0.655901, 0.711133, 0.777884, 0.854358,
20962  0.943115, 1.05374, 1.18304, 1.33437, 1.51536,
20963  1.74731, 2.02475, 2.33077, 2.6935, 3.02089,
20964  3.21133, 3.02917, 2.16572, 0.773617, 0.0122262,
20965  0.0123625, 0.79176, 2.20392, 3.07223, 3.25579,
20966  3.04577, 2.70048, 2.35447, 2.02429, 1.74824,
20967  1.52793, 1.34184, 1.18124, 1.05491, 0.947156,
20968  0.854808, 0.778132, 0.711838, 0.660305, 0.611437,
20969  0.569615, 0.533944, 0.50315, 0.475441, 0.453882,
20970  0.42907, 0.412259, 0.396804, 0.381054, 0.369233,
20971  0.360226, 0.350866, 0.342871, 0.334541, 0.328517,
20972  0.323896, 0.321528, 0.318197, 0.315238, 0.316037,
20973  0.31592, 0.316848, 0.318861, 0.321484, 0.324643,
20974  0.329921, 0.335464, 0.342051, 0.349918, 0.358997,
20975  0.370728, 0.382258, 0.397922, 0.411599, 0.430943,
20976  0.453329, 0.47453, 0.500561, 0.533864, 0.568914,
20977  0.611567, 0.65881, 0.716929, 0.77894, 0.857378,
20978  0.944819, 1.05181, 1.1858, 1.33695, 1.52786,
20979  1.75477, 2.03231, 2.35399, 2.71116, 3.04717,
20980  3.25737, 3.06666, 2.2042, 0.791596, 0.0123481,
20981  0.0125366, 0.806158, 2.23717, 3.12394, 3.29171,
20982  3.07355, 2.7245, 2.3678, 2.04181, 1.76391,
20983  1.53045, 1.34889, 1.18887, 1.05586, 0.950214,
20984  0.857531, 0.782643, 0.716441, 0.6609, 0.611925,
20985  0.569741, 0.534638, 0.502365, 0.476886, 0.452334,
20986  0.43116, 0.412892, 0.39637, 0.383241, 0.370628,
20987  0.359765, 0.350387, 0.343366, 0.336482, 0.330096,
20988  0.325347, 0.321757, 0.320412, 0.318094, 0.315659,
20989  0.316867, 0.317043, 0.319715, 0.322091, 0.326699,
20990  0.330734, 0.337011, 0.34284, 0.349996, 0.358823,
20991  0.370861, 0.38318, 0.397136, 0.412777, 0.431252,
20992  0.453737, 0.476459, 0.504081, 0.535062, 0.571095,
20993  0.612634, 0.660011, 0.71609, 0.78204, 0.85331,
20994  0.94793, 1.0559, 1.189, 1.34869, 1.5306,
20995  1.76733, 2.03975, 2.36407, 2.73117, 3.075,
20996  3.29624, 3.12441, 2.24647, 0.811366, 0.0125316,
20997  0.0127261, 0.824144, 2.28574, 3.16771, 3.33395,
20998  3.10587, 2.74761, 2.37359, 2.04902, 1.77501,
20999  1.54443, 1.35415, 1.1934, 1.0682, 0.954355,
21000  0.858515, 0.782635, 0.71885, 0.659908, 0.614278,
21001  0.570519, 0.535397, 0.503444, 0.479387, 0.454793,
21002  0.433722, 0.414661, 0.397723, 0.383848, 0.372174,
21003  0.360434, 0.351083, 0.343049, 0.337225, 0.331273,
21004  0.32639, 0.321997, 0.320305, 0.317532, 0.316966,
21005  0.317985, 0.317861, 0.32013, 0.32201, 0.324461,
21006  0.331333, 0.336889, 0.342805, 0.351388, 0.360716,
21007  0.370836, 0.383672, 0.39799, 0.414146, 0.432334,
21008  0.453748, 0.478476, 0.504424, 0.538741, 0.572166,
21009  0.614186, 0.664072, 0.718896, 0.786856, 0.859983,
21010  0.953124, 1.06165, 1.18961, 1.34598, 1.54047,
21011  1.77434, 2.04824, 2.37946, 2.73871, 3.11276,
21012  3.33387, 3.16588, 2.28028, 0.826721, 0.0127191,
21013  0.012879, 0.844212, 2.33217, 3.20933, 3.36796,
21014  3.13714, 2.77093, 2.39722, 2.0538, 1.78283,
21015  1.54168, 1.35948, 1.19611, 1.06039, 0.956586,
21016  0.863719, 0.785377, 0.720074, 0.663313, 0.616356,
21017  0.572635, 0.538734, 0.508698, 0.478705, 0.454259,
21018  0.433543, 0.414756, 0.399275, 0.38726, 0.371778,
21019  0.36159, 0.351409, 0.344752, 0.338235, 0.331884,
21020  0.326566, 0.323956, 0.32057, 0.318948, 0.317834,
21021  0.317703, 0.318584, 0.320444, 0.323576, 0.326368,
21022  0.331713, 0.336739, 0.344959, 0.352495, 0.361471,
21023  0.372872, 0.383093, 0.39913, 0.415824, 0.432125,
21024  0.455361, 0.479132, 0.507974, 0.536755, 0.573612,
21025  0.616996, 0.664076, 0.717752, 0.783066, 0.863746,
21026  0.95561, 1.06393, 1.19508, 1.35519, 1.54716,
21027  1.778, 2.06496, 2.39476, 2.76899, 3.12912,
21028  3.37159, 3.20831, 2.32933, 0.843434, 0.012851,
21029  0.0130904, 0.86129, 2.36482, 3.2555, 3.40434,
21030  3.16275, 2.79537, 2.41302, 2.07621, 1.79111,
21031  1.55352, 1.35867, 1.20247, 1.06699, 0.957833,
21032  0.86383, 0.785098, 0.721474, 0.665327, 0.617492,
21033  0.57413, 0.538387, 0.508424, 0.479708, 0.456555,
21034  0.43341, 0.415389, 0.399195, 0.385117, 0.375278,
21035  0.362923, 0.353141, 0.344231, 0.336969, 0.333385,
21036  0.32663, 0.323762, 0.321839, 0.319563, 0.319144,
21037  0.318223, 0.319857, 0.320947, 0.324192, 0.327144,
21038  0.331633, 0.339036, 0.344829, 0.353372, 0.363075,
21039  0.372563, 0.38384, 0.399325, 0.416282, 0.434146,
21040  0.456078, 0.480974, 0.508675, 0.538028, 0.576124,
21041  0.618952, 0.666524, 0.722793, 0.788488, 0.86272,
21042  0.956674, 1.06732, 1.20149, 1.36208, 1.55256,
21043  1.78574, 2.07532, 2.40319, 2.79649, 3.15936,
21044  3.4044, 3.24897, 2.36226, 0.861481, 0.0130786,
21045  0.0132286, 0.877698, 2.4087, 3.30081, 3.4449,
21046  3.18634, 2.80767, 2.42504, 2.07875, 1.79424,
21047  1.55854, 1.36672, 1.2047, 1.07109, 0.960792,
21048  0.865893, 0.790905, 0.724166, 0.665902, 0.619235,
21049  0.576216, 0.540591, 0.508458, 0.480676, 0.45699,
21050  0.434889, 0.416579, 0.400915, 0.385876, 0.373921,
21051  0.362632, 0.353579, 0.344991, 0.338678, 0.334011,
21052  0.329174, 0.32625, 0.322815, 0.320216, 0.319986,
21053  0.318803, 0.319836, 0.32265, 0.323949, 0.328552,
21054  0.332775, 0.338166, 0.344553, 0.354853, 0.364108,
21055  0.37549, 0.386315, 0.402253, 0.417086, 0.436689,
21056  0.455888, 0.481004, 0.508069, 0.540049, 0.576044,
21057  0.619383, 0.666318, 0.725024, 0.791462, 0.869576,
21058  0.960838, 1.07099, 1.20587, 1.36371, 1.56122,
21059  1.79515, 2.07863, 2.42049, 2.80593, 3.17918,
21060  3.43516, 3.30178, 2.4218, 0.881347, 0.0131989,
21061  0.0133821, 0.903794, 2.45702, 3.35398, 3.48677,
21062  3.22185, 2.83555, 2.43672, 2.09204, 1.80186,
21063  1.56851, 1.36671, 1.21192, 1.07517, 0.964674,
21064  0.86929, 0.790017, 0.724398, 0.669441, 0.619353,
21065  0.577707, 0.541372, 0.509632, 0.480337, 0.457962,
21066  0.435892, 0.417746, 0.403085, 0.387066, 0.375711,
21067  0.364478, 0.35405, 0.344704, 0.33707, 0.333041,
21068  0.328484, 0.325104, 0.323732, 0.321257, 0.319049,
21069  0.320021, 0.321838, 0.321821, 0.325549, 0.328922,
21070  0.333255, 0.338937, 0.345707, 0.354855, 0.363063,
21071  0.374104, 0.387882, 0.402009, 0.418276, 0.436658,
21072  0.458572, 0.482781, 0.510883, 0.540918, 0.577878,
21073  0.620855, 0.669189, 0.725458, 0.791805, 0.868162,
21074  0.963411, 1.07798, 1.20494, 1.36788, 1.56395,
21075  1.80677, 2.09578, 2.43588, 2.82796, 3.21296,
21076  3.47868, 3.35316, 2.45621, 0.899455, 0.0134296,
21077  0.0135412, 0.918288, 2.49638, 3.39194, 3.51935,
21078  3.24815, 2.84956, 2.4487, 2.09925, 1.81493,
21079  1.57676, 1.37736, 1.21692, 1.07718, 0.966206,
21080  0.871338, 0.795294, 0.727613, 0.670143, 0.623334,
21081  0.579804, 0.543645, 0.510834, 0.483002, 0.459769,
21082  0.439099, 0.419416, 0.400686, 0.387382, 0.376002,
21083  0.365289, 0.355777, 0.348683, 0.340778, 0.334191,
21084  0.329929, 0.32637, 0.322216, 0.321491, 0.320616,
21085  0.322446, 0.32226, 0.323498, 0.325573, 0.329339,
21086  0.334392, 0.339564, 0.345863, 0.356026, 0.364868,
21087  0.374663, 0.388748, 0.401769, 0.419755, 0.436216,
21088  0.458271, 0.482465, 0.512721, 0.542753, 0.579564,
21089  0.623379, 0.672465, 0.72772, 0.79539, 0.871452,
21090  0.966824, 1.07852, 1.20971, 1.37329, 1.57283,
21091  1.81079, 2.10578, 2.45405, 2.84212, 3.23727,
21092  3.52296, 3.39117, 2.49581, 0.921079, 0.0135479,
21093  0.0137473, 0.937342, 2.54089, 3.44787, 3.57047,
21094  3.26597, 2.86681, 2.46, 2.1127, 1.81867,
21095  1.58157, 1.37919, 1.2161, 1.0797, 0.96984,
21096  0.874476, 0.797487, 0.729645, 0.671134, 0.621366,
21097  0.583148, 0.543569, 0.512088, 0.48542, 0.460448,
21098  0.43834, 0.419183, 0.403771, 0.388282, 0.376665,
21099  0.365228, 0.355091, 0.34745, 0.339775, 0.333944,
21100  0.330198, 0.325881, 0.324595, 0.322067, 0.320429,
21101  0.320083, 0.323168, 0.325138, 0.326764, 0.330317,
21102  0.334831, 0.341957, 0.346624, 0.356025, 0.365218,
21103  0.376614, 0.388187, 0.404133, 0.418646, 0.437394,
21104  0.461375, 0.484688, 0.512458, 0.546524, 0.57887,
21105  0.62095, 0.673319, 0.727605, 0.79444, 0.874262,
21106  0.968635, 1.0753, 1.21656, 1.37692, 1.57461,
21107  1.81883, 2.11406, 2.4633, 2.87078, 3.26562,
21108  3.5589, 3.44503, 2.54576, 0.937536, 0.0137345,
21109  0.013976, 0.956243, 2.58702, 3.48294, 3.59327,
21110  3.29914, 2.88108, 2.4781, 2.13253, 1.82588,
21111  1.58794, 1.38124, 1.22071, 1.08307, 0.972101,
21112  0.8761, 0.796351, 0.734457, 0.673765, 0.625412,
21113  0.581588, 0.543488, 0.514044, 0.486255, 0.460036,
21114  0.440464, 0.421963, 0.402783, 0.389316, 0.377732,
21115  0.366147, 0.357291, 0.348615, 0.34243, 0.336213,
21116  0.330997, 0.327226, 0.323576, 0.322898, 0.322838,
21117  0.320851, 0.32299, 0.324634, 0.32791, 0.331656,
21118  0.336671, 0.341407, 0.349045, 0.357485, 0.366166,
21119  0.376335, 0.390753, 0.404911, 0.422005, 0.438161,
21120  0.459216, 0.486289, 0.513754, 0.545959, 0.580189,
21121  0.623623, 0.673555, 0.7317, 0.797449, 0.87917,
21122  0.972159, 1.08056, 1.21994, 1.38449, 1.58209,
21123  1.83001, 2.12849, 2.47479, 2.8881, 3.2971,
21124  3.60637, 3.49627, 2.58936, 0.956922, 0.0139136,
21125  0.0140681, 0.979701, 2.635, 3.52782, 3.63311,
21126  3.32846, 2.90662, 2.48982, 2.13591, 1.83579,
21127  1.58875, 1.3903, 1.22287, 1.09082, 0.974816,
21128  0.879871, 0.799062, 0.730698, 0.674821, 0.627082,
21129  0.581615, 0.546817, 0.516107, 0.485111, 0.463258,
21130  0.440654, 0.421071, 0.40514, 0.389689, 0.378266,
21131  0.367001, 0.35844, 0.35099, 0.343244, 0.336385,
21132  0.333013, 0.327008, 0.325422, 0.324502, 0.322609,
21133  0.322765, 0.323866, 0.325814, 0.327908, 0.331143,
21134  0.335941, 0.342195, 0.348414, 0.357784, 0.367968,
21135  0.378641, 0.389968, 0.402882, 0.421559, 0.440185,
21136  0.462938, 0.486056, 0.514315, 0.546356, 0.583064,
21137  0.624436, 0.675058, 0.731228, 0.797662, 0.881332,
21138  0.975415, 1.089, 1.22524, 1.39087, 1.59195,
21139  1.83225, 2.13254, 2.49513, 2.91183, 3.32854,
21140  3.6451, 3.53998, 2.62188, 0.97503, 0.0141101,
21141  0.0142842, 0.998926, 2.67936, 3.57868, 3.66571,
21142  3.35413, 2.92208, 2.51415, 2.14518, 1.8463,
21143  1.59524, 1.39101, 1.22654, 1.09047, 0.974645,
21144  0.88291, 0.802863, 0.734968, 0.675717, 0.628039,
21145  0.584139, 0.547835, 0.515852, 0.487799, 0.46396,
21146  0.442328, 0.423034, 0.405754, 0.392168, 0.377601,
21147  0.367475, 0.359098, 0.349645, 0.342641, 0.337013,
21148  0.33347, 0.328916, 0.325173, 0.32436, 0.323368,
21149  0.323807, 0.32372, 0.325062, 0.328517, 0.332467,
21150  0.337252, 0.343846, 0.350502, 0.358772, 0.368062,
21151  0.379189, 0.389529, 0.406558, 0.422661, 0.440719,
21152  0.461519, 0.486548, 0.516031, 0.548464, 0.585947,
21153  0.626033, 0.675283, 0.734484, 0.802657, 0.881599,
21154  0.97903, 1.08909, 1.22622, 1.39238, 1.5941,
21155  1.84422, 2.14064, 2.50724, 2.92258, 3.35374,
21156  3.66896, 3.60236, 2.67887, 0.997756, 0.0142711,
21157  0.0144599, 1.02168, 2.71988, 3.6414, 3.70969,
21158  3.37964, 2.93959, 2.52497, 2.15511, 1.84765,
21159  1.60735, 1.40155, 1.22959, 1.09328, 0.982343,
21160  0.884447, 0.804899, 0.733035, 0.67958, 0.62892,
21161  0.584387, 0.550352, 0.515771, 0.488405, 0.464185,
21162  0.442954, 0.42443, 0.407004, 0.391664, 0.379526,
21163  0.368859, 0.360433, 0.352993, 0.344412, 0.338111,
21164  0.33259, 0.329785, 0.327136, 0.325011, 0.323831,
21165  0.324338, 0.32321, 0.326099, 0.330033, 0.333629,
21166  0.336967, 0.343379, 0.350159, 0.360167, 0.369251,
21167  0.379467, 0.392156, 0.407233, 0.424064, 0.442706,
21168  0.463296, 0.488897, 0.516965, 0.547542, 0.586263,
21169  0.628779, 0.678016, 0.734713, 0.804202, 0.886445,
21170  0.980818, 1.09516, 1.23435, 1.4022, 1.60261,
21171  1.85348, 2.16096, 2.52662, 2.94518, 3.39553,
21172  3.71493, 3.62791, 2.71562, 1.01632, 0.0144542,
21173  0.0146172, 1.04074, 2.76947, 3.68389, 3.74202,
21174  3.41605, 2.9646, 2.53745, 2.16462, 1.86053,
21175  1.60462, 1.3987, 1.23684, 1.09952, 0.98258,
21176  0.888119, 0.807031, 0.73665, 0.680076, 0.629129,
21177  0.585569, 0.549582, 0.518814, 0.491299, 0.46611,
21178  0.442954, 0.425437, 0.407725, 0.393194, 0.382399,
21179  0.369641, 0.360276, 0.350637, 0.343938, 0.338754,
21180  0.333233, 0.33043, 0.32684, 0.326087, 0.32514,
21181  0.323582, 0.326681, 0.327581, 0.330938, 0.333239,
21182  0.337897, 0.34399, 0.350687, 0.358367, 0.369171,
21183  0.379272, 0.393861, 0.408007, 0.424346, 0.443057,
21184  0.46407, 0.490529, 0.518124, 0.549723, 0.58915,
21185  0.630552, 0.682127, 0.738476, 0.805239, 0.885679,
21186  0.978145, 1.09861, 1.23275, 1.40141, 1.6056,
21187  1.86021, 2.16205, 2.53397, 2.9657, 3.40523,
21188  3.75338, 3.68037, 2.77159, 1.0375, 0.0146601,
21189  0.0147715, 1.05544, 2.81635, 3.74556, 3.79298,
21190  3.43348, 2.99667, 2.55635, 2.17116, 1.87251,
21191  1.61442, 1.40709, 1.2373, 1.10407, 0.985821,
21192  0.88815, 0.810405, 0.741347, 0.681528, 0.63337,
21193  0.588864, 0.552846, 0.518166, 0.49096, 0.465634,
21194  0.444319, 0.425448, 0.408186, 0.394806, 0.380498,
21195  0.370744, 0.360655, 0.352031, 0.345423, 0.340684,
21196  0.334107, 0.331374, 0.328479, 0.325082, 0.323983,
21197  0.324219, 0.326887, 0.328273, 0.33032, 0.334505,
21198  0.339351, 0.345277, 0.351233, 0.361509, 0.368864,
21199  0.382147, 0.395935, 0.408621, 0.42456, 0.444147,
21200  0.466362, 0.489961, 0.517941, 0.551137, 0.589516,
21201  0.631086, 0.680892, 0.740974, 0.810741, 0.889221,
21202  0.985317, 1.10279, 1.23996, 1.40478, 1.61521,
21203  1.87182, 2.17609, 2.5562, 2.98478, 3.42957,
21204  3.78464, 3.73296, 2.81398, 1.05897, 0.0148019,
21205  0.014945, 1.08265, 2.85829, 3.77208, 3.83306,
21206  3.47082, 3.00297, 2.563, 2.1844, 1.87029,
21207  1.61703, 1.412, 1.24525, 1.10512, 0.988051,
21208  0.893762, 0.810482, 0.744009, 0.683496, 0.634155,
21209  0.589142, 0.552342, 0.520271, 0.493019, 0.46783,
21210  0.445573, 0.427526, 0.407988, 0.394837, 0.382254,
21211  0.37126, 0.361149, 0.35273, 0.345572, 0.340333,
21212  0.33411, 0.332041, 0.328365, 0.325738, 0.325417,
21213  0.324649, 0.326988, 0.329971, 0.332817, 0.3349,
21214  0.340368, 0.34598, 0.352276, 0.361366, 0.370763,
21215  0.38148, 0.395279, 0.409521, 0.4266, 0.445059,
21216  0.466892, 0.489927, 0.51968, 0.553833, 0.588212,
21217  0.633514, 0.68162, 0.74163, 0.809635, 0.892611,
21218  0.985901, 1.09941, 1.24395, 1.41608, 1.61962,
21219  1.87409, 2.1877, 2.55686, 3.0026, 3.46154,
21220  3.8373, 3.79158, 2.86338, 1.08131, 0.0149599};
21221 
21224 static std::unique_ptr<InterpolateDataLinear<double>>
21226  pi0pi0_pipi_interpolation = nullptr;
21227 static std::unique_ptr<InterpolateData2DSpline>
21228  pi0pi0_pipi_dsigma_dk_interpolation = nullptr;
21229 static std::unique_ptr<InterpolateData2DSpline>
21230  pi0pi0_pipi_dsigma_dtheta_interpolation = nullptr;
21232 
21234 const std::initializer_list<double> BREMS_PI0PI0_PIPI_SIG = {
21235  0.0165184, 0.0291163, 0.044124, 0.0609363, 0.080776, 0.102606, 0.124961,
21236  0.14896, 0.173832, 0.198816, 0.238259, 0.288922, 0.338579, 0.385433,
21237  0.432399, 0.477873, 0.521796, 0.563224, 0.607276, 0.648538, 0.691793,
21238  0.729774, 0.76941, 0.808394, 0.845484, 0.906371, 0.968892, 1.02749,
21239  1.08477, 1.14214, 1.20036, 1.2515, 1.30421, 1.36204, 1.40738,
21240  1.46497, 1.51464, 1.56804, 1.62281, 1.6868, 1.7455, 1.80196,
21241  1.88839, 1.9598, 2.04203, 2.11202, 2.17846, 2.22035, 2.2286,
21242  2.19883, 2.12887, 2.02173, 1.91159, 1.80877, 1.72549, 1.66684,
21243  1.64321, 1.62042, 1.6179, 1.63053, 1.66372, 1.68179, 1.71184,
21244  1.74583, 1.75913, 1.81159, 1.82875, 1.86086, 1.88068, 1.92323,
21245  1.94049, 1.95994, 1.98742, 2.02177, 2.04854, 2.06461, 2.0954,
21246  2.1412, 2.15622, 2.17666, 2.21123, 2.22861, 2.26005, 2.29433,
21247  2.32673, 2.34775, 2.36823, 2.40509, 2.42872, 2.4562, 2.47459,
21248  2.50987, 2.52377, 2.5811, 2.60387, 2.56462, 2.62887, 2.65751,
21249  2.67433, 2.70145, 2.76158, 2.76097, 2.78564, 2.83856, 2.83578,
21250  2.88066, 2.926, 2.9559, 2.95882, 2.95461, 3.04351, 3.00572,
21251  3.08217, 3.11438, 3.1427, 3.1409, 3.17966, 3.17256, 3.22925,
21252  3.25357, 3.28159, 3.37759, 3.39054, 3.36607, 3.34854, 3.40953,
21253  3.45931, 3.50988, 3.57125, 3.51189, 3.53647, 3.57557, 3.65015,
21254  3.60819, 3.67942, 3.65048, 3.63833, 3.80724, 3.80701, 3.80447,
21255  3.89941, 3.87455, 3.89235, 4.03724, 3.97141, 4.0336, 4.01987,
21256  4.0547, 4.08957, 4.0794, 4.08668, 4.13208, 4.15074, 4.22969,
21257  4.20944, 4.30241, 4.28146, 4.34762, 4.35967, 4.43782, 4.40614,
21258  4.53835, 4.44459, 4.47302, 4.64089, 4.59608, 4.60186, 4.6181,
21259  4.70741, 4.66886};
21260 
21262 const std::initializer_list<double> BREMS_PI0PI0_PIPI_DIFF_SIG_K = {
21263  7.78058, 7.14796, 6.64969, 6.11541, 5.65838, 5.28613, 4.90582,
21264  4.53785, 4.17595, 3.83097, 3.57527, 3.33243, 3.06202, 2.80348,
21265  2.58536, 2.38286, 2.18752, 2.00004, 1.8295, 1.6669, 1.53947,
21266  1.39333, 1.27135, 1.14603, 1.04933, 0.942122, 0.853907, 0.761012,
21267  0.679353, 0.595753, 0.534233, 0.46939, 0.408089, 0.35228, 0.302477,
21268  0.258364, 0.216092, 0.175866, 0.140998, 0.108938, 0.0808893, 0.0566988,
21269  0.0359319, 0.0193554, 0.0, 0.0, 0.0, 0.0, 0.0,
21270  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21271  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21272  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21273  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21274  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21275  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21276  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21277  0.0, 0.0, 12.1651, 11.3258, 10.4258, 9.63142, 9.01304,
21278  8.34997, 7.70575, 7.17441, 6.60467, 6.13274, 5.67831, 5.25376,
21279  4.84953, 4.48622, 4.13242, 3.83116, 3.53829, 3.26522, 3.03315,
21280  2.77387, 2.54621, 2.34365, 2.13458, 1.94982, 1.78994, 1.63286,
21281  1.49065, 1.35312, 1.22074, 1.10186, 0.996087, 0.900856, 0.811974,
21282  0.721143, 0.64048, 0.558795, 0.495574, 0.42846, 0.372859, 0.315897,
21283  0.267594, 0.224815, 0.183152, 0.145804, 0.112322, 0.0816213, 0.0564664,
21284  0.0351636, 0.0174331, 0.0, 0.0, 0.0, 0.0, 0.0,
21285  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21286  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21287  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21288  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21289  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21290  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21291  0.0, 0.0, 0.0, 0.0, 17.2439, 15.8233, 14.3001,
21292  13.4842, 12.6478, 11.751, 10.7893, 10.0827, 9.34323, 8.55033,
21293  7.95047, 7.36422, 6.78599, 6.31974, 5.82873, 5.41235, 4.98209,
21294  4.59287, 4.23654, 3.91433, 3.63118, 3.36344, 3.10433, 2.84896,
21295  2.61058, 2.40132, 2.2049, 2.02957, 1.83879, 1.67652, 1.52008,
21296  1.3907, 1.23615, 1.13433, 1.025, 0.911897, 0.812842, 0.72773,
21297  0.647805, 0.564579, 0.496589, 0.43008, 0.367186, 0.314849, 0.262548,
21298  0.215938, 0.17396, 0.138348, 0.103139, 0.0744413, 0.048128, 0.0276295,
21299  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21300  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21301  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21302  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21303  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21304  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21305  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 21.6627,
21306  20.4938, 19.2405, 17.8965, 16.4555, 15.0751, 14.1865, 13.2337,
21307  12.212, 11.2119, 10.4983, 9.73319, 8.93799, 8.35814, 7.73639,
21308  7.16504, 6.6432, 6.13131, 5.67614, 5.24363, 4.84843, 4.45921,
21309  4.09469, 3.81158, 3.50225, 3.21181, 2.95444, 2.71653, 2.50102,
21310  2.29755, 2.10745, 1.92014, 1.75703, 1.59556, 1.44194, 1.30359,
21311  1.18463, 1.05867, 0.948048, 0.854676, 0.750262, 0.67075, 0.589316,
21312  0.511583, 0.443958, 0.382829, 0.32499, 0.267913, 0.220587, 0.175646,
21313  0.137716, 0.102124, 0.070752, 0.0458746, 0.0240264, 0.0, 0.0,
21314  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21315  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21316  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21317  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21318  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21319  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21320  0.0, 28.65, 25.4686, 23.3611, 22.1367, 20.8239, 19.4162,
21321  17.9068, 16.2883, 15.3233, 14.3029, 13.2088, 12.0356, 11.2613,
21322  10.4443, 9.56832, 8.93541, 8.31465, 7.71048, 7.22693, 6.71208,
21323  6.19277, 5.66983, 5.23759, 4.82509, 4.43308, 4.13457, 3.81231,
21324  3.48769, 3.19673, 2.95941, 2.72549, 2.48251, 2.26981, 2.07792,
21325  1.89056, 1.72592, 1.57439, 1.43012, 1.2819, 1.15195, 1.04464,
21326  0.921105, 0.830387, 0.733032, 0.649131, 0.564646, 0.48773, 0.417628,
21327  0.352836, 0.30191, 0.252488, 0.199516, 0.155879, 0.118786, 0.0842596,
21328  0.0546012, 0.0310306, 0.0, 0.0, 0.0, 0.0, 0.0,
21329  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21330  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21331  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21332  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21333  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21334  0.0, 0.0, 0.0, 35.8217, 32.921, 29.8107, 26.4757,
21335  24.5162, 23.2403, 21.8722, 20.4052, 18.8323, 17.2109, 16.1899,
21336  15.095, 13.9211, 12.7056, 11.9304, 11.0992, 10.2079, 9.52219,
21337  8.80169, 8.1099, 7.50279, 6.89537, 6.41667, 5.93927, 5.50694,
21338  5.10491, 4.71653, 4.34724, 4.00045, 3.67175, 3.36754, 3.08889,
21339  2.83631, 2.62256, 2.39731, 2.17094, 1.98045, 1.81761, 1.62945,
21340  1.49581, 1.33705, 1.21291, 1.08946, 0.974408, 0.866133, 0.764398,
21341  0.681676, 0.587619, 0.50619, 0.439395, 0.371546, 0.314062, 0.257434,
21342  0.207549, 0.163019, 0.121623, 0.0861774, 0.0558286, 0.030446, 0.0,
21343  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21344  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21345  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21346  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21347  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21348  0.0, 0.0, 0.0, 0.0, 0.0, 42.3626, 39.6327,
21349  36.7055, 33.5668, 30.2013, 26.6651, 25.3113, 23.8597, 22.3033,
21350  20.6343, 18.8447, 17.3447, 16.2745, 15.1271, 13.8967, 12.8541,
21351  12.1035, 11.2986, 10.4858, 9.73009, 8.9198, 8.27888, 7.67318,
21352  7.08938, 6.51525, 6.02953, 5.57382, 5.22746, 4.84731, 4.44174,
21353  4.06324, 3.73615, 3.42204, 3.15574, 2.89488, 2.68524, 2.42809,
21354  2.19521, 1.99435, 1.83547, 1.65956, 1.52243, 1.36524, 1.22231,
21355  1.10263, 0.994072, 0.869712, 0.770979, 0.673971, 0.583988, 0.511914,
21356  0.442589, 0.366184, 0.30933, 0.249955, 0.201244, 0.155232, 0.114824,
21357  0.0788068, 0.048501, 0.0244955, 0.0, 0.0, 0.0, 0.0,
21358  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21359  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21360  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21361  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21362  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21363  47.7465, 45.2409, 42.5541, 39.6732, 36.5841, 33.2718, 29.72,
21364  27.3328, 25.8085, 24.1741, 22.4215, 20.5423, 18.5309, 17.5193,
21365  16.4346, 15.2715, 14.0244, 13.1437, 12.2016, 11.1914, 10.4361,
21366  9.67848, 8.92881, 8.27635, 7.6049, 7.09026, 6.56074, 6.06792,
21367  5.61928, 5.20411, 4.79594, 4.41004, 4.06276, 3.74984, 3.43846,
21368  3.15421, 2.91127, 2.64466, 2.43266, 2.16825, 2.00344, 1.82989,
21369  1.6544, 1.49149, 1.34593, 1.20194, 1.07607, 0.963072, 0.855898,
21370  0.748733, 0.66172, 0.569451, 0.492162, 0.421933, 0.349385, 0.288249,
21371  0.232263, 0.183233, 0.140124, 0.100114, 0.0651215, 0.0359965, 0.0,
21372  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21373  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21374  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21375  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21376  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21377  0.0, 0.0, 53.0648, 50.639, 48.0378, 45.2487, 42.2581,
21378  39.0513, 35.6128, 31.9258, 28.7656, 27.2924, 25.7128, 24.0191,
21379  22.2029, 20.2555, 18.8637, 17.6566, 16.3623, 14.9744, 13.8967,
21380  12.9159, 11.8642, 11.0028, 10.2789, 9.50519, 8.8662, 8.18103,
21381  7.56534, 6.92906, 6.43548, 5.94981, 5.51694, 5.1089, 4.70212,
21382  4.30224, 3.94749, 3.66659, 3.34145, 3.10084, 2.81775, 2.57841,
21383  2.35833, 2.1568, 1.95567, 1.76661, 1.61661, 1.44587, 1.30273,
21384  1.16733, 1.0391, 0.920533, 0.814321, 0.715051, 0.61644, 0.531342,
21385  0.458424, 0.387847, 0.321211, 0.260787, 0.206481, 0.157178, 0.114133,
21386  0.0780254, 0.0459604, 0.0, 0.0, 0.0, 0.0, 0.0,
21387  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21388  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21389  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21390  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21391  0.0, 0.0, 0.0, 0.0, 57.8692, 55.5217, 53.0045,
21392  50.3054, 47.4113, 44.308, 40.9804, 37.4124, 33.5865, 29.8707,
21393  28.3499, 26.7192, 24.9707, 23.0958, 21.0854, 19.5284, 18.3535,
21394  17.0938, 15.7431, 14.5809, 13.5791, 12.5049, 11.5451, 10.7911,
21395  9.98264, 9.31035, 8.62415, 7.99132, 7.36357, 6.81064, 6.2675,
21396  5.8094, 5.36894, 4.95132, 4.56849, 4.17816, 3.85669, 3.5548,
21397  3.24527, 2.95412, 2.72867, 2.49746, 2.26971, 2.05249, 1.86683,
21398  1.67192, 1.53495, 1.38606, 1.22958, 1.10116, 0.977779, 0.868083,
21399  0.758339, 0.662441, 0.577736, 0.495131, 0.415264, 0.346899, 0.280345,
21400  0.223605, 0.173526, 0.126974, 0.087265, 0.052971, 0.0264061, 0.0,
21401  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21402  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21403  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21404  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21405  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 90.5951,
21406  59.8252, 57.4236, 54.8484, 52.0872, 49.1264, 45.9516, 42.5474,
21407  38.8971, 34.9831, 31.0252, 29.4803, 27.8238, 26.0475, 24.1429,
21408  22.1006, 20.424, 19.157, 17.7984, 16.3416, 15.0981, 14.1046,
21409  13.0393, 12.045, 11.2465, 10.3904, 9.66599, 8.94022, 8.25851,
21410  7.58844, 7.03875, 6.51932, 6.05605, 5.59617, 5.15661, 4.77786,
21411  4.35782, 4.00102, 3.66147, 3.36725, 3.05834, 2.82704, 2.57856,
21412  2.36298, 2.13755, 1.95911, 1.77292, 1.59028, 1.43399, 1.28617,
21413  1.14985, 1.0211, 0.90607, 0.792841, 0.693877, 0.603764, 0.516466,
21414  0.43355, 0.364467, 0.296811, 0.23764, 0.182446, 0.135761, 0.0934575,
21415  0.0580335, 0.0283939, 0.0, 0.0, 0.0, 0.0, 0.0,
21416  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21417  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21418  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21419  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21420  0.0, 136.97, 91.5776, 61.3242, 58.8785, 56.2561, 53.4442,
21421  50.4291, 47.196, 43.7293, 40.0121, 36.0263, 32.083, 30.4666,
21422  28.7334, 26.8748, 24.882, 22.7452, 21.0302, 19.7156, 18.306,
21423  16.7945, 15.5545, 14.5824, 13.5401, 12.5326, 11.6265, 10.6549,
21424  9.9125, 9.18028, 8.53291, 7.91447, 7.29802, 6.67103, 6.18516,
21425  5.72386, 5.28994, 4.8869, 4.47513, 4.1326, 3.78607, 3.48158,
21426  3.19312, 2.92189, 2.67289, 2.42429, 2.20289, 2.0029, 1.82386,
21427  1.62812, 1.47758, 1.32472, 1.18838, 1.05888, 0.929879, 0.810591,
21428  0.71348, 0.619043, 0.527577, 0.44657, 0.372242, 0.305929, 0.244736,
21429  0.189547, 0.13927, 0.0970243, 0.0582828, 0.0277397, 0.0, 0.0,
21430  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21431  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21432  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21433  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21434  0.0, 0.0, 0.0, 181.099, 136.866, 89.4368, 63.0075,
21435  60.4459, 57.6992, 54.754, 51.5959, 48.2097, 44.5787, 40.6853,
21436  36.5106, 32.6999, 31.0248, 29.2286, 27.3026, 25.2374, 23.023,
21437  21.3892, 20.0713, 18.6581, 17.1428, 15.9264, 14.8697, 13.7367,
21438  12.729, 11.8612, 10.9307, 10.137, 9.30055, 8.66408, 8.06691,
21439  7.49612, 6.91307, 6.3626, 5.8539, 5.38034, 4.95494, 4.59573,
21440  4.22264, 3.86736, 3.57342, 3.23622, 2.97295, 2.72515, 2.46339,
21441  2.26994, 2.04995, 1.84242, 1.66831, 1.50026, 1.34089, 1.20045,
21442  1.07487, 0.947728, 0.829519, 0.724256, 0.636052, 0.538237, 0.456462,
21443  0.377495, 0.309396, 0.246025, 0.187111, 0.139184, 0.0937764, 0.0573532,
21444  0.0269505, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21445  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21446  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21447  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21448  0.0, 0.0, 0.0, 0.0, 0.0, 219.949, 177.451,
21449  131.882, 83.0192, 64.2496, 61.5964, 58.7514, 55.7009, 52.4299,
21450  48.9225, 45.1616, 41.1289, 36.8048, 33.3633, 31.5854, 29.679,
21451  27.6348, 25.4429, 23.0926, 21.6215, 20.3002, 18.8833, 17.3641,
21452  16.2015, 15.0746, 13.8663, 12.8846, 11.9902, 11.0595, 10.3091,
21453  9.50452, 8.83089, 8.12994, 7.53798, 6.96036, 6.4404, 5.94469,
21454  5.47278, 5.02865, 4.60751, 4.26427, 3.90994, 3.59541, 3.30905,
21455  3.01233, 2.72799, 2.50444, 2.28782, 2.06048, 1.85851, 1.69117,
21456  1.51526, 1.35454, 1.23043, 1.08072, 0.961425, 0.835381, 0.727644,
21457  0.629477, 0.54155, 0.456642, 0.37676, 0.306519, 0.244122, 0.187931,
21458  0.135895, 0.0931489, 0.0536481, 0.0, 0.0, 0.0, 0.0,
21459  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21460  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21461  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21462  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21463  257.778, 216.409, 172.05, 124.486, 73.4844, 65.4354, 62.6506,
21464  59.6645, 56.4627, 53.0295, 49.3481, 45.4008, 41.1681, 36.6296,
21465  33.7557, 31.9432, 29.9998, 27.9158, 25.6813, 23.3268, 21.9705,
21466  20.5163, 18.9569, 17.3066, 16.3313, 15.2856, 14.1643, 13.1953,
21467  12.1834, 11.2108, 10.4016, 9.569, 8.87227, 8.1885, 7.63454,
21468  7.06826, 6.49026, 5.95889, 5.51433, 5.08149, 4.65859, 4.28447,
21469  3.92861, 3.61244, 3.30326, 3.04522, 2.73838, 2.50094, 2.28296,
21470  2.08109, 1.86643, 1.68256, 1.51734, 1.35842, 1.23338, 1.07777,
21471  0.957807, 0.835332, 0.720414, 0.621885, 0.537568, 0.452258, 0.370501,
21472  0.298748, 0.239825, 0.181854, 0.1282, 0.0846686, 0.0477094, 0.0,
21473  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21474  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21475  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21476  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21477  0.0, 0.0, 293.929, 253.356, 209.852, 163.204, 113.184,
21478  68.3455, 65.6914, 62.8456, 59.7942, 56.5222, 53.0137, 49.2517,
21479  45.2179, 40.8925, 36.2545, 34.1573, 32.2608, 30.2272, 28.0467,
21480  25.7086, 23.5751, 22.1465, 20.6146, 18.9721, 17.437, 16.331,
21481  15.145, 13.9457, 13.0151, 12.0174, 11.1533, 10.3645, 9.59804,
21482  8.88442, 8.21329, 7.57566, 7.02645, 6.48386, 5.94975, 5.49945,
21483  5.06338, 4.64291, 4.27348, 3.92842, 3.59986, 3.30277, 3.03033,
21484  2.74507, 2.52322, 2.27972, 2.06015, 1.86127, 1.67713, 1.50637,
21485  1.34842, 1.21348, 1.05204, 0.936462, 0.82012, 0.71597, 0.609546,
21486  0.526878, 0.436987, 0.359389, 0.291292, 0.2294, 0.170604, 0.120764,
21487  0.0758892, 0.0401887, 0.0, 0.0, 0.0, 0.0, 0.0,
21488  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21489  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21490  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21491  0.0, 0.0, 0.0, 0.0, 324.858, 285.661, 243.632,
21492  198.565, 150.242, 98.4261, 69.0264, 66.2489, 63.2706, 60.0771,
21493  56.6529, 52.9811, 49.0441, 44.8225, 40.2958, 36.1268, 34.2889,
21494  32.3182, 30.205, 27.9391, 25.5095, 23.6767, 22.184, 20.5834,
21495  18.8672, 17.4937, 16.3166, 15.0544, 13.9305, 12.971, 11.9421,
21496  11.1376, 10.2998, 9.56647, 8.83725, 8.19311, 7.5501, 6.96779,
21497  6.44177, 5.93841, 5.44276, 5.00784, 4.65903, 4.27739, 3.89287,
21498  3.59518, 3.27857, 2.99243, 2.71941, 2.48065, 2.25661, 2.04029,
21499  1.85079, 1.65698, 1.49057, 1.33311, 1.18297, 1.04707, 0.914281,
21500  0.796956, 0.707863, 0.591841, 0.503885, 0.42191, 0.351634, 0.277543,
21501  0.215192, 0.157033, 0.106792, 0.0657212, 0.0321324, 0.0, 0.0,
21502  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21503  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21504  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21505  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 353.303,
21506  315.372, 274.7, 231.089, 184.327, 134.185, 80.4192, 69.2528,
21507  66.3485, 63.2344, 59.8953, 56.3148, 52.4756, 48.359, 43.9448,
21508  39.2117, 36.0208, 34.0797, 31.9984, 29.7666, 27.3736, 24.8076,
21509  23.3811, 21.8724, 20.2548, 18.5202, 17.3819, 16.1789, 14.889,
21510  13.8773, 12.8613, 11.8628, 11.0325, 10.1644, 9.42909, 8.6908,
21511  8.08644, 7.499, 6.92539, 6.39449, 5.90036, 5.42988, 4.97727,
21512  4.55492, 4.18206, 3.84685, 3.50457, 3.20699, 2.95053, 2.66956,
21513  2.44225, 2.22168, 1.99452, 1.80287, 1.62688, 1.45843, 1.29929,
21514  1.16689, 1.02034, 0.898893, 0.784964, 0.674459, 0.571262, 0.488334,
21515  0.401009, 0.32866, 0.259725, 0.197484, 0.140748, 0.0958696, 0.0543359,
21516  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21517  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21518  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21519  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21520  0.0, 382.19, 345.276, 305.694, 263.251, 217.741, 168.942,
21521  116.617, 73.2299, 70.3099, 67.179, 63.8218, 60.2219, 56.3619,
21522  52.223, 47.785, 43.0262, 37.9235, 35.8904, 33.8619, 31.6869,
21523  29.3546, 26.8538, 24.671, 23.1893, 21.6006, 19.897, 18.349,
21524  17.1858, 15.9385, 14.6996, 13.6963, 12.6206, 11.7118, 10.8609,
21525  10.0585, 9.31385, 8.633, 7.98153, 7.36294, 6.78899, 6.28509,
21526  5.77581, 5.33315, 4.9112, 4.50646, 4.13341, 3.78377, 3.48352,
21527  3.17012, 2.88459, 2.63679, 2.39099, 2.16726, 1.94689, 1.76537,
21528  1.57751, 1.418, 1.26685, 1.12726, 0.986777, 0.862735, 0.753271,
21529  0.648965, 0.554193, 0.455967, 0.385493, 0.305089, 0.237715, 0.178542,
21530  0.12642, 0.0804384, 0.0419769, 0.0, 0.0, 0.0, 0.0,
21531  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21532  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21533  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21534  0.0, 0.0, 0.0, 407.904, 371.811, 333.11, 291.612,
21535  247.115, 199.402, 148.241, 93.3826, 71.6479, 68.7167, 65.5737,
21536  62.2036, 58.5899, 54.7151, 50.5602, 46.1051, 41.328, 37.4956,
21537  35.5612, 33.487, 31.2629, 28.8781, 26.321, 24.5938, 23.0099,
21538  21.3114, 19.4902, 18.1636, 16.9147, 15.5756, 14.4514, 13.4121,
21539  12.3307, 11.5021, 10.6137, 9.87591, 9.11057, 8.49309, 7.85558,
21540  7.21716, 6.67095, 6.13938, 5.63653, 5.20276, 4.79648, 4.39579,
21541  4.05783, 3.7032, 3.39098, 3.11224, 2.83135, 2.58544, 2.32693,
21542  2.12449, 1.91273, 1.71788, 1.54335, 1.37611, 1.22906, 1.08405,
21543  0.954507, 0.836064, 0.718007, 0.612668, 0.52371, 0.43469, 0.355905,
21544  0.283346, 0.218393, 0.156955, 0.10922, 0.0649914, 0.0, 0.0,
21545  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21546  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21547  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21548  0.0, 0.0, 0.0, 0.0, 0.0, 434.636, 399.271,
21549  361.351, 320.691, 277.092, 230.343, 180.215, 126.464, 74.6357,
21550  71.7433, 68.6418, 65.3162, 61.7503, 57.9267, 53.8267, 49.4305,
21551  44.7165, 39.6619, 37.1713, 35.1238, 32.9283, 30.5742, 28.0499,
21552  25.6616, 24.1118, 22.45, 20.6681, 18.9654, 17.8295, 16.6114,
21553  15.346, 14.3318, 13.2444, 12.2555, 11.3494, 10.4744, 9.70859,
21554  8.97955, 8.30189, 7.68575, 7.08375, 6.50968, 6.00119, 5.52209,
21555  5.09967, 4.70076, 4.32082, 3.95496, 3.647, 3.31291, 3.03072,
21556  2.74751, 2.50815, 2.25007, 2.04637, 1.85662, 1.65844, 1.48897,
21557  1.31673, 1.17743, 1.0371, 0.914037, 0.793691, 0.6871, 0.579494,
21558  0.487487, 0.406465, 0.329558, 0.257459, 0.195452, 0.13986, 0.0899244,
21559  0.0483747, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21560  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21561  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21562  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21563  454.854, 420.617, 383.905, 344.54, 302.33, 257.07, 208.539,
21564  156.501, 100.702, 74.2237, 71.171, 67.8977, 64.3878, 60.6242,
21565  56.5887, 52.2616, 47.6217, 42.6465, 38.3998, 36.4265, 34.3106,
21566  32.0418, 29.609, 27.0004, 25.1708, 23.598, 21.9116, 20.1033,
21567  18.6881, 17.3897, 15.9975, 14.8387, 13.8427, 12.7796, 11.9234,
21568  11.0054, 10.2459, 9.47548, 8.75362, 8.04601, 7.44656, 6.90381,
21569  6.37989, 5.87141, 5.3871, 5.00797, 4.52118, 4.20273, 3.82969,
21570  3.50648, 3.20434, 2.91858, 2.67221, 2.41843, 2.19886, 1.98931,
21571  1.77221, 1.60419, 1.44044, 1.2753, 1.12394, 0.987359, 0.86806,
21572  0.751494, 0.647818, 0.545542, 0.457956, 0.375965, 0.301573, 0.229547,
21573  0.171272, 0.116918, 0.0709684, 0.0, 0.0, 0.0, 0.0,
21574  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21575  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21576  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21577  0.0, 0.0, 476.662, 443.187, 407.294, 368.806, 327.537,
21578  283.285, 235.835, 184.957, 130.401, 76.1755, 73.2306, 70.0729,
21579  66.6871, 63.0565, 59.1636, 54.9893, 50.5134, 45.714, 40.5678,
21580  37.9408, 35.8663, 33.6418, 31.2566, 28.699, 26.2492, 24.712,
21581  23.0637, 21.2963, 19.5651, 18.3485, 17.044, 15.6825, 14.6595,
21582  13.5625, 12.5593, 11.6525, 10.7591, 9.96068, 9.20441, 8.51992,
21583  7.87522, 7.24366, 6.65362, 6.17839, 5.68959, 5.2262, 4.81158,
21584  4.43916, 4.08022, 3.7077, 3.37142, 3.09178, 2.81981, 2.56807,
21585  2.31655, 2.10754, 1.90049, 1.70983, 1.53342, 1.36544, 1.21257,
21586  1.07353, 0.936236, 0.822234, 0.711152, 0.601206, 0.51019, 0.423122,
21587  0.34175, 0.269545, 0.201198, 0.145244, 0.0950894, 0.0523261, 0.0,
21588  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21589  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21590  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21591  0.0, 0.0, 0.0, 0.0, 497.634, 464.893, 429.786,
21592  392.141, 351.776, 308.494, 262.084, 212.32, 158.96, 101.744,
21593  75.5356, 72.452, 69.1455, 65.6001, 61.7985, 57.7221, 53.3512,
21594  48.6644, 43.6389, 39.3952, 37.3677, 35.1936, 32.8624, 30.3628,
21595  27.6825, 25.8014, 24.153, 22.3854, 20.4902, 19.0776, 17.8025,
21596  16.4352, 15.2517, 14.1782, 13.0388, 12.1741, 11.247, 10.454,
21597  9.63833, 8.93546, 8.23821, 7.61296, 7.06552, 6.50133, 5.9329,
21598  5.49918, 5.0485, 4.63336, 4.27328, 3.91308, 3.56598, 3.28167,
21599  2.99952, 2.71675, 2.48445, 2.23611, 2.0165, 1.81687, 1.62844,
21600  1.45533, 1.30422, 1.15066, 1.01242, 0.883345, 0.7736, 0.664566,
21601  0.562043, 0.473777, 0.385635, 0.309313, 0.240714, 0.175574, 0.121347,
21602  0.0734268, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21603  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21604  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21605  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 512.007,
21606  480.395, 446.498, 410.151, 371.177, 329.387, 284.577, 236.529,
21607  185.008, 129.764, 78.108, 75.091, 71.8558, 68.3869, 64.6673,
21608  60.6789, 56.4022, 51.8165, 46.8994, 41.627, 39.0535, 36.824,
21609  34.4334, 31.87, 29.1213, 26.598, 25.0567, 23.404, 21.6318,
21610  19.9322, 18.6835, 17.3445, 15.9667, 14.8663, 13.6865, 12.6859,
21611  11.8189, 10.9519, 10.1217, 9.34704, 8.63318, 7.95449, 7.32386,
21612  6.80555, 6.26932, 5.7836, 5.31933, 4.89924, 4.51372, 4.13296,
21613  3.77176, 3.4569, 3.16446, 2.87617, 2.62202, 2.37848, 2.1406,
21614  1.93775, 1.74026, 1.56079, 1.39208, 1.22847, 1.09093, 0.954596,
21615  0.831823, 0.720618, 0.615456, 0.51719, 0.42939, 0.350815, 0.272685,
21616  0.203589, 0.146679, 0.0964076, 0.0518525, 0.0, 0.0, 0.0,
21617  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21618  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21619  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21620  0.0, 535.681, 504.366, 470.789, 434.784, 396.178, 354.782,
21621  310.394, 262.799, 211.764, 157.04, 98.3624, 77.0145, 73.8322,
21622  70.42, 66.7612, 62.838, 58.6313, 54.1206, 49.2838, 44.0976,
21623  40.0454, 37.9208, 35.6426, 33.1997, 30.5804, 27.7717, 26.0068,
21624  24.3799, 22.6355, 20.7649, 19.3945, 18.068, 16.6457, 15.483,
21625  14.4025, 13.2866, 12.3948, 11.4385, 10.6064, 9.73873, 9.03127,
21626  8.33846, 7.70072, 7.11572, 6.5534, 6.02983, 5.5613, 5.13954,
21627  4.70037, 4.28416, 3.93504, 3.61557, 3.27033, 3.01896, 2.75889,
21628  2.50412, 2.25986, 2.04487, 1.84014, 1.65655, 1.47681, 1.31004,
21629  1.16501, 1.02104, 0.902871, 0.77619, 0.664722, 0.562921, 0.471413,
21630  0.387004, 0.310262, 0.23774, 0.176323, 0.119872, 0.0719306, 0.0,
21631  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21632  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21633  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21634  0.0, 0.0, 0.0, 554.168, 523.462, 490.537, 455.233,
21635  417.377, 376.785, 333.26, 286.589, 236.546, 182.886, 125.349,
21636  79.2086, 76.0693, 72.7031, 69.0936, 65.2233, 61.0733, 56.6234,
21637  51.8518, 46.7355, 41.2494, 39.128, 36.9122, 34.5363, 31.9887,
21638  29.257, 26.928, 25.3573, 23.673, 21.8671, 20.2174, 18.9061,
21639  17.5, 16.1213, 15.014, 13.8266, 12.8382, 11.9057, 11.0131,
21640  10.1576, 9.40121, 8.68641, 8.05287, 7.43718, 6.85919, 6.34731,
21641  5.80688, 5.33171, 4.9096, 4.49085, 4.15835, 3.79195, 3.46525,
21642  3.16767, 2.89211, 2.62786, 2.37405, 2.15702, 1.93792, 1.74404,
21643  1.56779, 1.40382, 1.25, 1.08547, 0.951155, 0.832831, 0.724239,
21644  0.61447, 0.518902, 0.429962, 0.342362, 0.271547, 0.204881, 0.145387,
21645  0.0936311, 0.0479812, 0.0, 0.0, 0.0, 0.0, 0.0,
21646  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21647  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21648  0.0, 0.0, 0.0, 0.0, 0.0, 568.37, 538.451,
21649  506.371, 471.973, 435.088, 395.538, 353.13, 307.657, 258.898,
21650  206.615, 150.554, 90.4415, 78.1317, 74.8151, 71.2588, 67.4455,
21651  63.3566, 58.9722, 54.271, 49.23, 43.8248, 40.2328, 38.0861,
21652  35.7842, 33.316, 30.6693, 27.8315, 26.2264, 24.5224, 22.6953,
21653  20.7361, 19.4228, 18.0307, 16.538, 15.4367, 14.3454, 13.2739,
21654  12.3804, 11.4434, 10.6152, 9.77395, 9.04246, 8.35404, 7.70369,
21655  7.13032, 6.57394, 6.04694, 5.57462, 5.15219, 4.71528, 4.31359,
21656  3.94712, 3.62362, 3.32447, 3.02417, 2.75545, 2.50945, 2.2698,
21657  2.04072, 1.85187, 1.64465, 1.4753, 1.31205, 1.17415, 1.02564,
21658  0.890577, 0.775924, 0.654361, 0.562171, 0.471241, 0.388058, 0.305091,
21659  0.23249, 0.172495, 0.114445, 0.0662352, 0.0, 0.0, 0.0,
21660  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21661  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21662  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21663  583.745, 554.368, 522.867, 489.089, 452.871, 414.035, 372.393,
21664  327.741, 279.863, 228.524, 173.475, 114.448, 78.6508, 75.5265,
21665  72.1765, 68.5843, 64.7326, 60.6025, 56.174, 51.4254, 46.3336,
21666  41.4919, 39.3418, 37.0362, 34.5641, 31.9133, 29.0709, 26.9373,
21667  25.3068, 23.5585, 21.6838, 20.1351, 18.8174, 17.4045, 16.1077,
21668  14.9896, 13.7907, 12.7972, 11.7704, 10.9516, 10.1922, 9.4591,
21669  8.71576, 8.05852, 7.43604, 6.85113, 6.32143, 5.84969, 5.35399,
21670  4.90898, 4.51782, 4.11495, 3.78875, 3.46766, 3.14459, 2.86854,
21671  2.60906, 2.37286, 2.14057, 1.94686, 1.74074, 1.54588, 1.38157,
21672  1.23617, 1.08585, 0.952695, 0.827413, 0.714462, 0.611088, 0.509608,
21673  0.421998, 0.338591, 0.266393, 0.197063, 0.139744, 0.0886519, 0.0435534,
21674  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21675  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21676  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21677  0.0, 0.0, 596.398, 567.774, 537.082, 504.171, 468.882,
21678  431.043, 390.47, 346.964, 300.314, 250.293, 196.657, 139.145,
21679  81.2043, 78.0769, 74.7235, 71.1278, 67.2722, 63.138, 58.705,
21680  53.9517, 48.8549, 43.3897, 40.5215, 38.2766, 35.8696, 33.2886,
21681  30.5211, 27.856, 26.2137, 24.4528, 22.5647, 20.7073, 19.422,
21682  18.0439, 16.6005, 15.537, 14.3967, 13.3261, 12.3344, 11.3749,
21683  10.5684, 9.77599, 9.02276, 8.34091, 7.69532, 7.13002, 6.57845,
21684  6.03485, 5.55538, 5.11068, 4.69256, 4.28833, 3.94098, 3.61159,
21685  3.29829, 3.0064, 2.72933, 2.47248, 2.24065, 2.02712, 1.83226,
21686  1.64405, 1.46183, 1.30183, 1.14857, 1.00964, 0.884246, 0.763988,
21687  0.652088, 0.549044, 0.462677, 0.372691, 0.297918, 0.228584, 0.164448,
21688  0.107011, 0.059294, 0.0, 0.0, 0.0, 0.0, 0.0,
21689  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21690  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21691  0.0, 0.0, 0.0, 0.0, 613.666, 585.485, 555.268,
21692  522.867, 488.124, 450.871, 410.925, 368.093, 322.165, 272.919,
21693  220.113, 163.491, 102.778, 80.7772, 77.3835, 73.7445, 69.8425,
21694  65.6585, 61.1722, 56.3617, 51.2035, 45.6725, 41.3861, 39.1842,
21695  36.8233, 34.2917, 31.5772, 28.6665, 26.8293, 25.1281, 23.3039,
21696  21.3478, 19.9571, 18.6222, 17.1908, 15.9754, 14.8172, 13.6276,
21697  12.7196, 11.7459, 10.943, 10.1044, 9.35557, 8.62758, 7.96557,
21698  7.36389, 6.79099, 6.25275, 5.75792, 5.34756, 4.87913, 4.47158,
21699  4.11, 3.79716, 3.43509, 3.13415, 2.8486, 2.58911, 2.3514,
21700  2.13184, 1.91537, 1.72689, 1.54823, 1.37714, 1.21207, 1.07405,
21701  0.933414, 0.814876, 0.703684, 0.5905, 0.501677, 0.410519, 0.325914,
21702  0.252759, 0.190048, 0.128703, 0.0788436, 0.0, 0.0, 0.0,
21703  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21704  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21705  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 624.137,
21706  596.582, 567.037, 535.357, 501.387, 464.962, 425.905, 384.025,
21707  339.118, 290.967, 239.336, 183.973, 124.609, 81.2544, 78.0312,
21708  74.5751, 70.8692, 66.8954, 62.6345, 58.0657, 53.1667, 47.9137,
21709  42.4846, 40.3461, 38.0532, 35.5945, 32.9581, 30.1313, 27.8009,
21710  26.1191, 24.3157, 22.382, 20.693, 19.3444, 17.8983, 16.5228,
21711  15.4096, 14.2159, 13.2125, 12.2233, 11.3056, 10.4237, 9.67751,
21712  8.96741, 8.28736, 7.63973, 7.04326, 6.52087, 6.01054, 5.52147,
21713  5.05764, 4.65848, 4.27041, 3.91338, 3.5599, 3.2533, 2.97128,
21714  2.70898, 2.45505, 2.23167, 2.0018, 1.80014, 1.6075, 1.43852,
21715  1.27784, 1.13179, 0.995079, 0.866582, 0.745949, 0.637812, 0.539371,
21716  0.447139, 0.36492, 0.285818, 0.214159, 0.15205, 0.0983955, 0.0513065,
21717  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21718  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21719  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21720  0.0, 636.855, 609.826, 580.844, 549.767, 516.444, 480.714,
21721  442.401, 401.319, 357.268, 310.035, 259.387, 205.08, 146.847,
21722  84.4068, 79.7842, 76.3878, 72.7459, 68.8408, 64.6535, 60.1636,
21723  55.3492, 50.1869, 44.6516, 41.4143, 39.1205, 36.6609, 34.0235,
21724  31.1956, 28.3505, 26.7234, 24.9786, 23.1078, 21.1943, 19.9025,
21725  18.5173, 17.032, 15.9162, 14.7282, 13.6101, 12.637, 11.6591,
21726  10.8245, 10.0012, 9.25484, 8.56103, 7.89022, 7.26909, 6.75114,
21727  6.23171, 5.72832, 5.27603, 4.8353, 4.42586, 4.06379, 3.73116,
21728  3.39662, 3.09315, 2.79958, 2.56036, 2.30952, 2.08714, 1.89119,
21729  1.6858, 1.50849, 1.3458, 1.18429, 1.03813, 0.922318, 0.800505,
21730  0.677767, 0.576348, 0.479561, 0.391417, 0.312531, 0.240954, 0.177834,
21731  0.116372, 0.0654839, 0.0, 0.0, 0.0, 0.0, 0.0,
21732  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21733  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21734  0.0, 0.0, 0.0, 653.634, 626.906, 598.245, 567.514,
21735  534.562, 499.228, 461.341, 420.716, 377.155, 330.446, 280.362,
21736  226.658, 169.073, 107.326, 81.7442, 78.392, 74.7975, 70.9433,
21737  66.8105, 62.3791, 57.6274, 52.5323, 47.069, 42.603, 40.3427,
21738  37.9191, 35.3203, 32.5337, 29.5458, 27.5701, 25.8115, 23.9259,
21739  21.9039, 20.452, 19.1148, 17.6809, 16.4367, 15.2711, 14.0494,
21740  13.0911, 12.0635, 11.2303, 10.3694, 9.60195, 8.84772, 8.17518,
21741  7.5729, 6.98764, 6.42426, 5.8975, 5.40367, 5.02913, 4.57684,
21742  4.21504, 3.85026, 3.50498, 3.2034, 2.90954, 2.65962, 2.41794,
21743  2.18985, 1.95823, 1.77291, 1.57648, 1.41666, 1.25853, 1.09713,
21744  0.965825, 0.843859, 0.722933, 0.617595, 0.514563, 0.429501, 0.343457,
21745  0.267907, 0.198523, 0.137238, 0.0836765, 0.0, 0.0, 0.0,
21746  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21747  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21748  0.0, 0.0, 0.0, 0.0, 0.0, 661.26, 635.17,
21749  607.194, 577.196, 545.031, 510.541, 473.558, 433.903, 391.382,
21750  345.789, 296.9, 244.478, 188.268, 127.996, 82.616, 79.354,
21751  75.8562, 72.1056, 68.084, 63.7717, 59.1478, 54.1898, 48.8735,
21752  43.295, 41.1078, 38.7626, 36.2478, 33.5514, 30.6601, 28.2561,
21753  26.5649, 24.7514, 22.8069, 21.0692, 19.6625, 18.1542, 16.7226,
21754  15.6117, 14.4206, 13.444, 12.5032, 11.5956, 10.7016, 9.90473,
21755  9.13057, 8.44499, 7.79752, 7.1993, 6.61857, 6.09558, 5.62262,
21756  5.17402, 4.75225, 4.36991, 3.98738, 3.66133, 3.33915, 3.03277,
21757  2.77842, 2.52885, 2.27253, 2.06078, 1.82405, 1.64685, 1.4756,
21758  1.31028, 1.16033, 1.01338, 0.886714, 0.774187, 0.656995, 0.553581,
21759  0.465925, 0.373361, 0.294634, 0.226547, 0.158454, 0.102576, 0.053921,
21760  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21761  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21762  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21763  676.847, 651.044, 623.376, 593.709, 561.897, 527.787, 491.212,
21764  451.993, 409.94, 364.849, 316.498, 264.654, 209.062, 149.454,
21765  85.5374, 81.2452, 77.7743, 74.0526, 70.062, 65.7829, 61.1947,
21766  56.2748, 50.9994, 45.3428, 42.0866, 39.7809, 37.3084, 34.6574,
21767  31.8147, 28.964, 27.3165, 25.5499, 23.6556, 21.7204, 20.3832,
21768  18.9493, 17.4118, 16.2898, 15.0921, 13.9504, 12.9271, 11.9157,
21769  11.101, 10.2658, 9.4413, 8.71333, 8.04095, 7.47163, 6.90961,
21770  6.36216, 5.84788, 5.36426, 4.91326, 4.51516, 4.12845, 3.78454,
21771  3.45569, 3.14368, 2.86967, 2.61812, 2.36233, 2.14175, 1.91872,
21772  1.73481, 1.54667, 1.37048, 1.21606, 1.07486, 0.939657, 0.817757,
21773  0.698532, 0.596484, 0.496275, 0.405728, 0.322346, 0.247851, 0.179694,
21774  0.122045, 0.0696377, 0.0, 0.0, 0.0, 0.0, 0.0,
21775  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21776  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21777  0.0, 0.0, 687.248, 661.88, 634.679, 605.512, 574.238,
21778  540.703, 504.745, 466.188, 424.845, 380.514, 332.98, 282.01,
21779  227.357, 168.754, 105.916, 82.0902, 78.7567, 75.1823, 71.3496,
21780  67.2399, 62.8332, 58.1081, 53.0415, 47.6087, 43.27, 40.9546,
21781  38.472, 35.8099, 32.9554, 29.8947, 27.9766, 26.2436, 24.3855,
21782  22.3931, 20.9188, 19.5036, 17.986, 16.7256, 15.5554, 14.3378,
21783  13.3433, 12.2769, 11.4421, 10.5765, 9.80271, 9.03096, 8.30254,
21784  7.68895, 7.08117, 6.50874, 6.03816, 5.57905, 5.11259, 4.67439,
21785  4.27205, 3.92738, 3.59616, 3.27212, 2.97946, 2.70546, 2.45544,
21786  2.21905, 1.99527, 1.79355, 1.60609, 1.44487, 1.27793, 1.12983,
21787  0.981869, 0.855117, 0.739165, 0.626153, 0.53096, 0.432376, 0.353718,
21788  0.275321, 0.20628, 0.141588, 0.0852689, 0.0, 0.0, 0.0,
21789  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21790  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21791  0.0, 0.0, 0.0, 0.0, 699.05, 674.088, 647.323,
21792  618.623, 587.848, 554.85, 519.467, 481.528, 440.846, 397.224,
21793  350.45, 300.296, 246.517, 188.852, 127.02, 84.2724, 80.919,
21794  77.3233, 73.4678, 69.3337, 64.9007, 60.1475, 55.0507, 49.5856,
21795  44.0816, 41.8242, 39.4037, 36.8083, 34.0253, 31.0412, 28.6657,
21796  26.9443, 25.0986, 23.1195, 21.4118, 20.0092, 18.5052, 17.1044,
21797  15.973, 14.7599, 13.7415, 12.7201, 11.7899, 10.893, 10.0958,
21798  9.31356, 8.64633, 8.00802, 7.38024, 6.70095, 6.20768, 5.76322,
21799  5.24978, 4.83188, 4.4655, 4.07213, 3.71259, 3.39889, 3.10124,
21800  2.81103, 2.54193, 2.30931, 2.0869, 1.87421, 1.68549, 1.49995,
21801  1.34166, 1.18432, 1.03653, 0.895502, 0.779823, 0.663227, 0.56878,
21802  0.471815, 0.38295, 0.305776, 0.229181, 0.162831, 0.102631, 0.052623,
21803  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21804  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21805  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 712.025,
21806  687.383, 660.96, 632.628, 602.248, 569.673, 534.743, 497.289,
21807  457.129, 414.066, 367.891, 318.38, 265.29, 208.364, 147.323,
21808  86.1962, 82.8557, 79.2739, 75.4332, 71.3149, 66.899, 62.164,
21809  57.0869, 51.6428, 45.8052, 42.8266, 40.5124, 38.031, 35.3702,
21810  32.5171, 29.7611, 27.983, 26.0764, 24.032, 22.0275, 20.6429,
21811  19.1583, 17.6035, 16.4168, 15.1443, 14.0203, 13.0566, 12.0929,
21812  11.2048, 10.3503, 9.56123, 8.85009, 8.16777, 7.54128, 7.01479,
21813  6.44956, 5.90911, 5.43279, 5.01148, 4.59505, 4.20773, 3.84358,
21814  3.5322, 3.21156, 2.92367, 2.66034, 2.38954, 2.16936, 1.9629,
21815  1.76245, 1.57553, 1.40128, 1.24345, 1.0907, 0.954983, 0.82918,
21816  0.711744, 0.605955, 0.505772, 0.414216, 0.33144, 0.250842, 0.183808,
21817  0.122751, 0.0693118, 0.0, 0.0, 0.0, 0.0, 0.0,
21818  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21819  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21820  0.0, 733.475, 708.801, 682.345, 653.976, 623.557, 590.94,
21821  555.966, 518.465, 478.253, 435.135, 388.901, 339.326, 286.169,
21822  229.169, 168.051, 102.516, 84.682, 81.1561, 77.3753, 73.3212,
21823  68.9743, 64.3131, 59.3151, 53.9559, 48.2095, 44.0796, 41.722,
21824  39.1941, 36.4835, 33.5771, 30.4606, 28.5996, 26.7369, 24.7396,
21825  22.598, 21.1548, 19.6922, 18.1239, 16.9273, 15.7828, 14.6106,
21826  13.5585, 12.4445, 11.5874, 10.6996, 9.92641, 9.19574, 8.52077,
21827  7.84088, 7.23816, 6.66603, 6.09671, 5.62348, 5.15575, 4.73859,
21828  4.36147, 3.99701, 3.6491, 3.30652, 3.0385, 2.75503, 2.49542,
21829  2.24633, 2.0375, 1.8222, 1.64042, 1.45068, 1.29507, 1.14673,
21830  1.00642, 0.873952, 0.751662, 0.639022, 0.536815, 0.442649, 0.354919,
21831  0.277374, 0.207234, 0.139767, 0.0867594, 0.0, 0.0, 0.0,
21832  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21833  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21834  0.0, 0.0, 0.0, 748.063, 723.61, 697.391, 669.277,
21835  639.131, 606.807, 572.147, 534.981, 495.13, 452.4, 406.581,
21836  357.45, 304.77, 248.282, 187.712, 122.765, 86.4619, 82.9811,
21837  79.2486, 75.2465, 70.9551, 66.3536, 61.4195, 56.1289, 50.4559,
21838  45.2544, 42.9034, 40.3824, 37.6794, 34.7809, 31.673, 29.4238,
21839  27.6516, 25.7514, 23.7138, 22.0285, 20.5266, 18.9161, 17.4714,
21840  16.2139, 14.8656, 13.8861, 12.8701, 11.9673, 11.0609, 10.259,
21841  9.45833, 8.73437, 8.07153, 7.45675, 6.89075, 6.31366, 5.82089,
21842  5.34056, 4.93555, 4.50545, 4.1384, 3.76578, 3.45242, 3.13902,
21843  2.85727, 2.58769, 2.3574, 2.12104, 1.91441, 1.70428, 1.52609,
21844  1.34915, 1.20054, 1.05765, 0.918373, 0.798753, 0.685937, 0.576432,
21845  0.470816, 0.384626, 0.303098, 0.230674, 0.159536, 0.103538, 0.052325,
21846  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21847  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21848  0.0, 0.0, 0.0, 0.0, 0.0, 758.545, 734.454,
21849  708.622, 680.923, 651.222, 619.375, 585.227, 548.61, 509.348,
21850  467.248, 422.105, 373.7, 321.797, 266.144, 206.468, 142.48,
21851  88.4102, 84.9386, 81.2161, 77.2245, 72.9445, 68.3552, 63.4343,
21852  58.1577, 52.4998, 46.433, 43.8618, 41.348, 38.6525, 35.7622,
21853  32.6631, 29.9673, 28.2318, 26.371, 24.3756, 22.5295, 21.1093,
21854  19.5865, 18.063, 16.8232, 15.4937, 14.3762, 13.3445, 12.3518,
21855  11.4143, 10.5631, 9.76025, 9.05269, 8.34501, 7.65225, 7.08376,
21856  6.5259, 6.02725, 5.5408, 5.08887, 4.65914, 4.29015, 3.91396,
21857  3.56046, 3.26812, 2.95787, 2.69194, 2.44854, 2.21416, 1.9786,
21858  1.79817, 1.60271, 1.40796, 1.25936, 1.11568, 0.974578, 0.844196,
21859  0.719413, 0.612832, 0.516596, 0.415901, 0.333147, 0.253107, 0.184796,
21860  0.120618, 0.065526, 0.0, 0.0, 0.0, 0.0, 0.0,
21861  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21862  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21863  778.312, 754.251, 728.451, 700.786, 671.122, 639.315, 605.209,
21864  568.638, 529.425, 487.377, 442.291, 393.946, 342.108, 286.524,
21865  226.922, 163.014, 94.4869, 87.3504, 83.6319, 79.6447, 75.3694,
21866  70.7851, 65.8695, 60.5986, 54.9469, 48.8867, 45.2379, 42.7589,
21867  40.1008, 37.2506, 34.1944, 31.0613, 29.2216, 27.249, 25.1339,
21868  22.9511, 21.6074, 20.1666, 18.6218, 17.4126, 16.139, 14.9092,
21869  13.814, 12.7165, 11.8381, 10.948, 10.1062, 9.37426, 8.68923,
21870  7.98768, 7.36483, 6.79906, 6.26541, 5.7394, 5.25946, 4.83591,
21871  4.41565, 4.05082, 3.74151, 3.3859, 3.09477, 2.79567, 2.54549,
21872  2.30079, 2.07337, 1.85924, 1.67177, 1.49271, 1.30727, 1.1633,
21873  1.01366, 0.879181, 0.761459, 0.651306, 0.547642, 0.446451, 0.357687,
21874  0.281347, 0.206318, 0.139974, 0.0805132, 0.0, 0.0, 0.0,
21875  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21876  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21877  0.0, 0.0, 789.814, 766.027, 740.521, 713.172, 683.846,
21878  652.401, 618.684, 582.53, 543.763, 502.195, 457.622, 409.829,
21879  358.581, 303.63, 244.708, 181.528, 113.782, 88.8063, 85.1302,
21880  81.1884, 76.9618, 72.4297, 67.5701, 62.3593, 56.772, 50.7808,
21881  46.0833, 43.6377, 41.0153, 38.2034, 35.1883, 31.9554, 29.923,
21882  28.0597, 26.0617, 23.9193, 22.3107, 20.746, 19.0681, 17.7271,
21883  16.5042, 15.2352, 14.1916, 13.0725, 12.175, 11.2417, 10.4303,
21884  9.65178, 8.96633, 8.29262, 7.64591, 7.03055, 6.43582, 5.92319,
21885  5.46217, 5.00421, 4.59862, 4.20129, 3.87134, 3.50527, 3.18575,
21886  2.89744, 2.64058, 2.37961, 2.15233, 1.94255, 1.72757, 1.55613,
21887  1.37071, 1.22506, 1.06518, 0.934222, 0.810518, 0.689375, 0.582331,
21888  0.481236, 0.38599, 0.30764, 0.22552, 0.161438, 0.0993779, 0.0,
21889  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21890  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21891  0.0, 0.0, 0.0, 0.0, 806.109, 782.438, 757.056,
21892  729.84, 700.656, 669.364, 635.811, 599.833, 561.254, 519.888,
21893  475.532, 427.971, 376.973, 322.289, 263.654, 200.781, 133.364,
21894  90.7382, 87.0843, 83.1664, 78.9654, 74.4607, 69.6305, 64.4512,
21895  58.8977, 52.9428, 47.1953, 44.7967, 42.2247, 39.4668, 36.5096,
21896  33.3388, 30.886, 29.0093, 26.9969, 24.8392, 23.0505, 21.5638,
21897  19.9697, 18.493, 17.23, 15.8757, 14.7483, 13.593, 12.6091,
21898  11.6746, 10.789, 9.90585, 9.20869, 8.51651, 7.85033, 7.2499,
21899  6.61143, 6.12623, 5.66245, 5.15559, 4.76568, 4.34748, 3.96697,
21900  3.6519, 3.33389, 3.02875, 2.73324, 2.48542, 2.25008, 2.01378,
21901  1.81145, 1.62536, 1.43598, 1.27199, 1.12416, 0.982473, 0.841493,
21902  0.724742, 0.619801, 0.510949, 0.414647, 0.334798, 0.252739, 0.177157,
21903  0.114712, 0.0602415, 0.0, 0.0, 0.0, 0.0, 0.0,
21904  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21905  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 816.42,
21906  793.025, 767.939, 741.041, 712.198, 681.271, 648.109, 612.55,
21907  574.422, 533.538, 489.7, 442.693, 392.29, 338.244, 280.292,
21908  218.153, 151.522, 91.8962, 88.3552, 84.5582, 80.4869, 76.1213,
21909  71.4403, 66.4209, 61.0389, 55.2679, 49.0798, 46.2183, 43.6052,
21910  40.8033, 37.7989, 34.5773, 31.6595, 29.7563, 27.7155, 25.5272,
21911  23.4847, 22.015, 20.4391, 18.8412, 17.5747, 16.2167, 15.0379,
21912  13.9583, 12.9338, 12.0154, 11.121, 10.2402, 9.44551, 8.70529,
21913  8.06646, 7.52054, 6.87775, 6.29581, 5.80034, 5.34779, 4.91988,
21914  4.4814, 4.11112, 3.7715, 3.44695, 3.10655, 2.8471, 2.55302,
21915  2.32142, 2.09501, 1.89006, 1.66769, 1.49813, 1.33766, 1.17411,
21916  1.02219, 0.890438, 0.769257, 0.650596, 0.540912, 0.446512, 0.352806,
21917  0.273448, 0.198096, 0.133158, 0.0731154, 0.0, 0.0, 0.0,
21918  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21919  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21920  0.0, 825.835, 802.742, 777.981, 751.43, 722.96, 692.433,
21921  659.7, 624.601, 586.966, 546.611, 503.34, 456.941, 407.19,
21922  353.843, 296.641, 235.305, 169.536, 99.0149, 89.9081, 86.1173,
21923  82.0525, 77.694, 73.0205, 68.0093, 62.6359, 56.8742, 50.6961,
21924  46.858, 44.3148, 41.5878, 38.6638, 35.5284, 32.2738, 30.4211,
21925  28.4345, 26.3044, 24.0719, 22.585, 20.9906, 19.2809, 18.03,
21926  16.7361, 15.4757, 14.3573, 13.2214, 12.2922, 11.3564, 10.5024,
21927  9.7006, 8.93062, 8.23863, 7.61339, 7.04517, 6.50787, 5.98854,
21928  5.51533, 5.0374, 4.63794, 4.21984, 3.8556, 3.53553, 3.20345,
21929  2.91421, 2.65313, 2.40642, 2.14519, 1.95573, 1.73989, 1.56102,
21930  1.37552, 1.21821, 1.06298, 0.930806, 0.802916, 0.682025, 0.57393,
21931  0.472998, 0.380523, 0.295235, 0.221634, 0.151508, 0.0885288, 0.0,
21932  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21933  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21934  0.0, 0.0, 0.0, 826.793, 804.224, 780.024, 754.075,
21935  726.252, 696.417, 664.426, 630.124, 593.342, 553.903, 511.613,
21936  466.267, 417.644, 365.507, 309.602, 249.657, 185.381, 116.459,
21937  90.7297, 86.9686, 82.9357, 78.6113, 73.9745, 69.0025, 63.6713,
21938  57.9547, 51.8251, 47.0197, 44.5685, 41.9402, 39.122, 36.1001,
21939  32.8598, 30.7369, 28.7674, 26.6556, 24.3912, 22.7984, 21.2904,
21940  19.6735, 18.2652, 16.9112, 15.5163, 14.4646, 13.3368, 12.4102,
21941  11.4451, 10.6002, 9.79997, 9.11765, 8.42313, 7.74244, 7.12888,
21942  6.62201, 6.07506, 5.56134, 5.11943, 4.69479, 4.29928, 3.9389,
21943  3.58718, 3.2883, 2.963, 2.71399, 2.44456, 2.19765, 1.98171,
21944  1.77722, 1.58641, 1.41375, 1.24785, 1.09384, 0.957628, 0.828816,
21945  0.705785, 0.597088, 0.493795, 0.402704, 0.313358, 0.237411, 0.166183,
21946  0.105657, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21947  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21948  0.0, 0.0, 0.0, 0.0, 0.0, 815.115, 793.374,
21949  770.062, 745.065, 718.262, 689.521, 658.704, 625.66, 590.227,
21950  552.234, 511.495, 467.812, 420.972, 370.748, 316.894, 259.147,
21951  197.228, 130.834, 89.9363, 86.3234, 82.4494, 78.2955, 73.8413,
21952  69.0653, 63.9441, 58.4528, 52.5647, 46.9357, 44.4827, 41.8524,
21953  39.0321, 36.0079, 32.7652, 30.3272, 28.4873, 26.5144, 24.399,
21954  22.6299, 21.1175, 19.4957, 18.0476, 16.8707, 15.6087, 14.5421,
21955  13.4396, 12.4895, 11.5725, 10.7064, 9.83261, 9.06081, 8.3856,
21956  7.75519, 7.11217, 6.59584, 6.03006, 5.57104, 5.12371, 4.68244,
21957  4.30321, 3.94678, 3.61236, 3.28603, 2.98412, 2.71056, 2.44475,
21958  2.212, 2.00071, 1.78824, 1.60161, 1.42397, 1.264, 1.11766,
21959  0.975098, 0.845072, 0.727516, 0.615486, 0.515821, 0.415094, 0.33501,
21960  0.258636, 0.18005, 0.118253, 0.0635003, 0.0, 0.0, 0.0,
21961  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21962  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21963  792.318, 771.626, 749.44, 725.65, 700.141, 672.789, 643.46,
21964  612.011, 578.29, 542.131, 503.36, 461.787, 417.209, 369.41,
21965  318.156, 263.199, 204.27, 141.082, 86.8783, 83.5187, 79.9164,
21966  76.0537, 71.9119, 67.4708, 62.7087, 57.6025, 52.1273, 46.2564,
21967  43.6343, 41.1041, 38.391, 35.4818, 32.3624, 29.6296, 27.8897,
21968  26.0239, 24.0234, 22.1746, 20.7892, 19.3037, 17.8208, 16.6569,
21969  15.4088, 14.2698, 13.1622, 12.1344, 11.2199, 10.3753, 9.57185,
21970  8.91064, 8.24401, 7.57148, 7.005, 6.48807, 6.00337, 5.53105,
21971  5.04848, 4.64093, 4.24124, 3.90309, 3.56598, 3.22946, 2.95684,
21972  2.6699, 2.42977, 2.16988, 1.97664, 1.77847, 1.59598, 1.41555,
21973  1.26359, 1.10902, 0.977125, 0.842695, 0.729746, 0.622961, 0.516841,
21974  0.428409, 0.339866, 0.261242, 0.193334, 0.128069, 0.0706684, 0.0,
21975  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21976  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21977  0.0, 0.0, 755.624, 736.326, 715.633, 693.444, 669.652,
21978  644.141, 616.786, 587.454, 556.002, 522.277, 486.116, 447.341,
21979  405.763, 361.181, 313.378, 262.119, 207.157, 148.222, 85.0282,
21980  80.2174, 76.777, 73.0879, 69.1322, 64.8907, 60.3426, 55.4659,
21981  50.2367, 44.6297, 41.3893, 39.1364, 36.7207, 34.1304, 31.353,
21982  28.551, 26.914, 25.1588, 23.2767, 21.3493, 20.0446, 18.6455,
21983  17.1453, 16.0321, 14.8483, 13.7341, 12.7663, 11.7801, 10.8931,
21984  10.0366, 9.30024, 8.62521, 7.97916, 7.38701, 6.76606, 6.2245,
21985  5.75323, 5.29562, 4.87802, 4.47116, 4.11536, 3.7516, 3.43632,
21986  3.14312, 2.83204, 2.57198, 2.35119, 2.12452, 1.91652, 1.72006,
21987  1.54988, 1.37975, 1.22164, 1.08181, 0.948235, 0.82933, 0.715286,
21988  0.607419, 0.512659, 0.422605, 0.347196, 0.26995, 0.200435, 0.135149,
21989  0.0816589, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21990  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
21991  0.0, 0.0, 0.0, 0.0, 704.9, 687.292, 668.411,
21992  648.166, 626.458, 603.181, 578.222, 551.459, 522.762, 491.992,
21993  458.997, 423.618, 385.682, 345.005, 301.389, 254.62, 204.471,
21994  150.698, 93.0394, 75.6772, 72.5021, 69.0975, 65.447, 61.5326,
21995  57.3353, 52.8347, 48.0089, 42.8343, 39.0451, 36.988, 34.7822,
21996  32.4171, 29.881, 27.1616, 25.4852, 23.8425, 22.081, 20.1923,
21997  18.8908, 17.5933, 16.2021, 15.1026, 14.055, 12.988, 12.0939,
21998  11.1391, 10.4097, 9.63497, 8.85753, 8.14389, 7.52685, 6.95991,
21999  6.43238, 5.92586, 5.434, 5.03502, 4.62316, 4.22222, 3.89263,
22000  3.57317, 3.27785, 2.98853, 2.72504, 2.49123, 2.23671, 2.02083,
22001  1.83148, 1.64004, 1.46805, 1.31205, 1.17453, 1.04328, 0.914685,
22002  0.799117, 0.690021, 0.596206, 0.499521, 0.419358, 0.338491, 0.269332,
22003  0.204661, 0.140688, 0.0893142, 0.0, 0.0, 0.0, 0.0,
22004  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22005  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 658.232,
22006  642.132, 624.869, 606.358, 586.509, 565.225, 542.404, 517.933,
22007  491.694, 463.559, 433.391, 401.042, 366.355, 329.162, 289.281,
22008  246.518, 200.665, 151.498, 98.7773, 71.0841, 68.1446, 64.9927,
22009  61.613, 57.9891, 54.1033, 49.9367, 45.4689, 40.6783, 36.4302,
22010  34.5702, 32.5759, 30.4374, 28.1444, 25.6856, 23.8961, 22.4076,
22011  20.8114, 19.0999, 17.7364, 16.5226, 15.2211, 14.103, 13.1544,
22012  12.1373, 11.3335, 10.4815, 9.74545, 9.0045, 8.33576, 7.6652,
22013  7.0561, 6.52744, 6.04191, 5.59034, 5.16324, 4.70778, 4.30567,
22014  4.00872, 3.69203, 3.37326, 3.07138, 2.82238, 2.55202, 2.32081,
22015  2.10269, 1.92452, 1.73338, 1.5596, 1.39563, 1.26022, 1.11718,
22016  0.981831, 0.871619, 0.773457, 0.665876, 0.569029, 0.483264, 0.405184,
22017  0.328832, 0.264368, 0.204047, 0.145392, 0.094693, 0.0, 0.0,
22018  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22019  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22020  0.0, 613.976, 599.262, 583.484, 566.567, 548.427, 528.975,
22021  508.119, 485.755, 461.774, 436.061, 408.489, 378.925, 347.225,
22022  313.233, 276.785, 237.704, 195.797, 150.863, 102.681, 66.6245,
22023  63.9566, 61.0958, 58.0284, 54.7392, 51.2124, 47.4307, 43.3756,
22024  39.0276, 34.4811, 32.7247, 30.8414, 28.822, 26.6566, 24.3348,
22025  22.4077, 21.0437, 19.5813, 18.0131, 16.6466, 15.5876, 14.4521,
22026  13.3519, 12.4345, 11.4507, 10.658, 9.8984, 9.17249, 8.46209,
22027  7.81916, 7.18866, 6.66081, 6.14658, 5.66526, 5.25624, 4.83327,
22028  4.46357, 4.11845, 3.77199, 3.44915, 3.18891, 2.89757, 2.6622,
22029  2.41038, 2.18538, 1.99802, 1.82224, 1.65239, 1.4833, 1.33673,
22030  1.19016, 1.06453, 0.949582, 0.840427, 0.73566, 0.637239, 0.546129,
22031  0.464872, 0.395889, 0.326264, 0.262177, 0.203807, 0.152359, 0.098094,
22032  0.0545219, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22033  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22034  0.0, 0.0, 0.0, 578.295, 564.681, 550.084, 534.432,
22035  517.648, 499.652, 480.356, 459.664, 437.478, 413.688, 388.179,
22036  360.826, 331.497, 300.048, 266.327, 230.168, 191.396, 149.823,
22037  105.245, 61.9663, 59.5691, 56.9986, 54.2423, 51.2869, 48.1179,
22038  44.7198, 41.0762, 37.1693, 32.98, 30.8879, 29.178, 27.3445,
22039  25.3785, 23.2704, 21.2798, 20.0323, 18.6946, 17.2603, 15.8619,
22040  14.8422, 13.7488, 12.6229, 11.8353, 10.9908, 10.2042, 9.46701,
22041  8.75188, 8.12333, 7.51748, 6.94677, 6.402, 5.88713, 5.45606,
22042  5.06466, 4.63888, 4.26335, 3.93844, 3.61364, 3.31108, 3.0302,
22043  2.79031, 2.53655, 2.31179, 2.11157, 1.90729, 1.75174, 1.5846,
22044  1.41466, 1.27018, 1.14598, 1.02531, 0.912811, 0.804397, 0.712645,
22045  0.616175, 0.533536, 0.45149, 0.386911, 0.32171, 0.26186, 0.206765,
22046  0.149756, 0.104718, 0.0619761, 0.0, 0.0, 0.0, 0.0,
22047  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22048  0.0, 0.0, 0.0, 0.0, 0.0, 549.515, 536.836,
22049  523.24, 508.661, 493.029, 476.267, 458.294, 439.022, 418.357,
22050  396.199, 372.44, 346.964, 319.646, 290.354, 258.946, 225.268,
22051  189.155, 150.433, 108.913, 64.3925, 57.1136, 54.6957, 52.1031,
22052  49.3232, 46.3423, 43.1461, 39.7189, 36.0439, 32.1034, 29.6022,
22053  28.0465, 26.3784, 24.5897, 22.6718, 20.6438, 19.4429, 18.1552,
22054  16.7744, 15.3072, 14.3646, 13.3539, 12.2701, 11.4702, 10.6575,
22055  9.857, 9.15033, 8.42678, 7.85068, 7.24741, 6.64279, 6.13586,
22056  5.69732, 5.27117, 4.87263, 4.48921, 4.11423, 3.77522, 3.49034,
22057  3.20537, 2.95388, 2.67806, 2.49282, 2.24789, 2.03998, 1.86864,
22058  1.70383, 1.53147, 1.38293, 1.24747, 1.12012, 0.997976, 0.897159,
22059  0.79552, 0.692079, 0.60499, 0.530369, 0.452375, 0.385408, 0.324364,
22060  0.264341, 0.209593, 0.156023, 0.111889, 0.069069, 0.0, 0.0,
22061  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22062  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22063  537.064, 524.9, 511.857, 497.871, 482.874, 466.794, 449.552,
22064  431.064, 411.239, 389.982, 367.189, 342.749, 316.542, 288.441,
22065  258.31, 226.001, 191.358, 154.21, 114.379, 71.6682, 55.8509,
22066  53.5371, 51.0561, 48.3958, 45.5433, 42.4846, 39.2048, 35.6881,
22067  31.9171, 28.9678, 27.4591, 25.8415, 24.1069, 22.247, 20.2527,
22068  18.9392, 17.7145, 16.4014, 14.9933, 14.003, 13.0632, 12.0556,
22069  11.2011, 10.3919, 9.55524, 8.8937, 8.18436, 7.66004, 7.11445,
22070  6.56635, 6.04169, 5.58268, 5.15385, 4.77333, 4.41956, 4.03548,
22071  3.71407, 3.41274, 3.17358, 2.88309, 2.64579, 2.39108, 2.22537,
22072  1.99495, 1.82516, 1.67362, 1.51135, 1.37077, 1.22202, 1.09498,
22073  0.981401, 0.873959, 0.781667, 0.690998, 0.605597, 0.529568, 0.45511,
22074  0.388263, 0.325107, 0.264444, 0.213285, 0.162574, 0.117695, 0.0755499,
22075  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22076  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22077  0.0, 0.0, 519.597, 508.059, 495.687, 482.421, 468.196,
22078  452.943, 436.589, 419.052, 400.248, 380.084, 358.464, 335.282,
22079  310.424, 283.769, 255.189, 224.543, 191.682, 156.446, 118.664,
22080  78.1519, 54.7789, 52.5759, 50.2136, 47.6806, 44.9646, 42.0523,
22081  38.9296, 35.5811, 31.9907, 28.6542, 27.1604, 25.5587, 23.8412,
22082  21.9996, 20.0249, 18.5612, 17.4075, 16.1703, 14.8438, 13.7984,
22083  12.9253, 11.989, 11.1259, 10.3564, 9.53125, 8.84889, 8.1363,
22084  7.56219, 7.01547, 6.4957, 5.97508, 5.53095, 5.13232, 4.75553,
22085  4.38289, 4.00121, 3.72291, 3.41069, 3.12633, 2.897, 2.63749,
22086  2.3983, 2.19593, 2.01076, 1.81854, 1.66706, 1.5082, 1.35365,
22087  1.23538, 1.10197, 0.975288, 0.882781, 0.783705, 0.687168, 0.605246,
22088  0.528058, 0.456347, 0.393493, 0.329442, 0.272172, 0.22039, 0.171021,
22089  0.125773, 0.0849736, 0.0430147, 0.0, 0.0, 0.0, 0.0,
22090  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22091  0.0, 0.0, 0.0, 0.0, 511.892, 500.738, 488.778,
22092  475.954, 462.203, 447.458, 431.647, 414.694, 396.516, 377.024,
22093  356.123, 333.713, 309.682, 283.915, 256.286, 226.66, 194.893,
22094  160.83, 124.306, 85.1421, 54.4745, 52.3338, 50.0384, 47.5771,
22095  44.9379, 42.1081, 39.0737, 35.82, 32.3312, 28.5984, 27.1215,
22096  25.5378, 23.8398, 22.019, 20.0666, 18.4361, 17.3508, 16.187,
22097  14.9392, 13.8027, 12.8824, 11.8956, 10.9426, 10.1964, 9.39628,
22098  8.76802, 8.18842, 7.61005, 7.0278, 6.49415, 5.97204, 5.52304,
22099  5.1183, 4.75772, 4.32176, 4.01039, 3.6857, 3.40141, 3.12594,
22100  2.87893, 2.61947, 2.41008, 2.19794, 2.01002, 1.82364, 1.65738,
22101  1.50148, 1.35988, 1.23485, 1.11556, 0.990132, 0.887435, 0.797018,
22102  0.699809, 0.612131, 0.539418, 0.470756, 0.401437, 0.332985, 0.282963,
22103  0.229735, 0.17865, 0.135693, 0.0893318, 0.0503846, 0.0, 0.0,
22104  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22105  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 511.423,
22106  500.453, 488.691, 476.079, 462.555, 448.054, 432.505, 415.832,
22107  397.955, 378.785, 358.231, 336.19, 312.557, 287.217, 260.044,
22108  230.909, 199.667, 166.168, 130.248, 91.7319, 53.6584, 51.6009,
22109  49.3946, 47.029, 44.4924, 41.7725, 38.856, 35.7287, 32.3755,
22110  28.7799, 26.9275, 25.439, 23.8429, 22.1315, 20.2964, 18.5426,
22111  17.4346, 16.2465, 14.9726, 13.7324, 12.8787, 11.9633, 11.0098,
22112  10.295, 9.52841, 8.81003, 8.1388, 7.50999, 7.0154, 6.53561,
22113  6.08381, 5.63099, 5.17719, 4.74794, 4.37553, 4.02648, 3.71178,
22114  3.41732, 3.13609, 2.89681, 2.65599, 2.42357, 2.22842, 2.00724,
22115  1.84696, 1.67947, 1.5345, 1.39419, 1.24649, 1.1246, 1.00551,
22116  0.903265, 0.808063, 0.712063, 0.627151, 0.54789, 0.477126, 0.40943,
22117  0.350475, 0.286075, 0.23547, 0.187197, 0.143033, 0.0983323, 0.0604124,
22118  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22119  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22120  0.0, 515.7, 504.84, 493.194, 480.708, 467.318, 452.962,
22121  437.567, 421.06, 403.361, 384.382, 364.031, 342.21, 318.812,
22122  293.723, 266.821, 237.975, 207.044, 173.878, 138.315, 100.182,
22123  59.2935, 52.5767, 50.3433, 47.9485, 45.3806, 42.6272, 39.6748,
22124  36.509, 33.1144, 29.4745, 27.1385, 25.6594, 24.0734, 22.3728,
22125  20.5493, 18.6222, 17.5328, 16.3647, 15.1122, 13.7813, 12.9374,
22126  12.0325, 11.0623, 10.3182, 9.55733, 8.83149, 8.24596, 7.641,
22127  7.12651, 6.59101, 6.06411, 5.59651, 5.17185, 4.78755, 4.42245,
22128  4.09197, 3.75971, 3.40495, 3.13788, 2.9088, 2.67735, 2.45366,
22129  2.23281, 2.0671, 1.87632, 1.6953, 1.5433, 1.39253, 1.26498,
22130  1.13618, 1.0192, 0.910126, 0.824562, 0.726431, 0.636139, 0.563825,
22131  0.483797, 0.42062, 0.360075, 0.296845, 0.246438, 0.197969, 0.149805,
22132  0.107913, 0.0676928, 0.0, 0.0, 0.0, 0.0, 0.0,
22133  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22134  0.0, 0.0, 0.0, 509.609, 499.074, 487.778, 475.666,
22135  462.679, 448.753, 433.82, 417.808, 400.64, 382.23, 362.49,
22136  341.324, 318.628, 294.291, 268.196, 240.215, 210.213, 178.041,
22137  143.545, 106.556, 66.8942, 52.7795, 50.5743, 48.2098, 45.6745,
22138  42.9559, 40.0409, 36.9152, 33.5636, 29.9698, 27.1951, 25.7513,
22139  24.2032, 22.5432, 20.7632, 18.8546, 17.6299, 16.4811, 15.2493,
22140  13.9284, 13.0601, 12.2451, 11.3712, 10.6158, 9.88573, 9.12562,
22141  8.46116, 7.74868, 7.19941, 6.62817, 6.12856, 5.65415, 5.2399,
22142  4.84138, 4.48321, 4.15561, 3.81945, 3.50661, 3.22481, 2.95979,
22143  2.7139, 2.48136, 2.26601, 2.07257, 1.88815, 1.72152, 1.58131,
22144  1.4335, 1.29446, 1.15461, 1.03248, 0.940399, 0.833921, 0.737571,
22145  0.656078, 0.569206, 0.500495, 0.430696, 0.367841, 0.311405, 0.255194,
22146  0.206664, 0.157499, 0.117738, 0.0748085, 0.0, 0.0, 0.0,
22147  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22148  0.0, 0.0, 0.0, 0.0, 0.0, 512.767, 502.337,
22149  491.153, 479.161, 466.302, 452.514, 437.73, 421.877, 404.879,
22150  386.652, 367.108, 346.151, 323.68, 299.585, 273.749, 246.046,
22151  216.34, 184.488, 150.334, 113.712, 74.4434, 53.0002, 50.838,
22152  48.5197, 46.0337, 43.3682, 40.51, 37.4452, 34.159, 30.6352,
22153  27.4381, 25.9821, 24.421, 22.747, 20.952, 19.0273, 17.6775,
22154  16.6279, 15.5024, 14.2956, 13.2908, 12.38, 11.4035, 10.578,
22155  9.91017, 9.19407, 8.52159, 7.80601, 7.26467, 6.7536, 6.28087,
22156  5.7981, 5.33271, 4.91204, 4.52669, 4.1835, 3.87745, 3.50132,
22157  3.26736, 2.98119, 2.75452, 2.50021, 2.29897, 2.11653, 1.92144,
22158  1.75946, 1.59589, 1.42526, 1.29927, 1.17621, 1.05645, 0.952103,
22159  0.849226, 0.758058, 0.672683, 0.582391, 0.514399, 0.447783, 0.378353,
22160  0.317027, 0.266544, 0.215819, 0.168957, 0.125564, 0.0822106, 0.0447326,
22161  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22162  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22163  518.601, 508.196, 497.04, 485.078, 472.251, 458.497, 443.749,
22164  427.935, 410.979, 392.797, 373.301, 352.396, 329.98, 305.945,
22165  280.173, 252.538, 222.906, 191.132, 157.063, 120.531, 81.3595,
22166  52.5491, 50.4896, 48.2814, 45.9136, 43.3746, 40.6522, 37.733,
22167  34.6029, 31.2465, 27.7611, 26.3229, 24.7809, 23.1274, 21.3543,
22168  19.4532, 17.9038, 16.8252, 15.6687, 14.4286, 13.3438, 12.4817,
22169  11.5574, 10.6685, 9.93207, 9.14239, 8.55927, 8.01927, 7.4312,
22170  6.79403, 6.30242, 5.86158, 5.39485, 4.98226, 4.62019, 4.23684,
22171  3.86204, 3.56756, 3.28153, 3.02671, 2.82155, 2.5642, 2.33469,
22172  2.1475, 1.96087, 1.76779, 1.62007, 1.481, 1.31782, 1.20167,
22173  1.09048, 0.968053, 0.87429, 0.769485, 0.684843, 0.605039, 0.522938,
22174  0.460933, 0.396338, 0.334323, 0.281203, 0.230646, 0.180326, 0.132735,
22175  0.0923298, 0.0512013, 0.0, 0.0, 0.0, 0.0, 0.0,
22176  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22177  0.0, 0.0, 509.475, 499.454, 488.708, 477.186, 464.832,
22178  451.584, 437.379, 422.148, 405.815, 388.303, 369.525, 349.39,
22179  327.799, 304.649, 279.825, 253.208, 224.667, 194.063, 161.248,
22180  126.061, 88.3316, 53.3856, 51.2817, 49.0257, 46.6067, 44.0129,
22181  41.2317, 38.2495, 35.0517, 31.6229, 27.9462, 26.2408, 24.7704,
22182  23.1937, 21.503, 19.6902, 18.0399, 17.0429, 15.9738, 14.8274,
22183  13.7106, 12.8209, 11.8668, 10.8934, 10.1499, 9.35262, 8.65825,
22184  8.03434, 7.4364, 6.90406, 6.38687, 5.88464, 5.43199, 5.00205,
22185  4.61597, 4.29213, 3.97166, 3.66897, 3.37657, 3.09291, 2.85441,
22186  2.63385, 2.36632, 2.1839, 2.00384, 1.80482, 1.62678, 1.49565,
22187  1.35529, 1.22424, 1.10571, 0.986735, 0.886434, 0.794902, 0.694983,
22188  0.6152, 0.546294, 0.47314, 0.407304, 0.344882, 0.289072, 0.237603,
22189  0.189232, 0.142382, 0.101062, 0.0597816, 0.0, 0.0, 0.0,
22190  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22191  0.0, 0.0, 0.0, 0.0, 525.876, 515.648, 504.682,
22192  492.923, 480.314, 466.794, 452.297, 436.753, 420.085, 402.212,
22193  383.048, 362.499, 340.465, 316.838, 291.504, 264.34, 235.212,
22194  203.979, 170.489, 134.579, 96.0736, 54.7857, 51.0777, 48.8982,
22195  46.5613, 44.0555, 41.3686, 38.4875, 35.3983, 32.0857, 28.5338,
22196  26.4486, 25.029, 23.5068, 21.8747, 20.1246, 18.3385, 17.2448,
22197  16.0721, 14.8146, 13.5264, 12.7422, 11.9013, 10.9996, 10.3169,
22198  9.59534, 8.89527, 8.25929, 7.60469, 7.00111, 6.43941, 6.01302,
22199  5.56585, 5.11589, 4.75472, 4.36742, 4.00056, 3.68884, 3.43805,
22200  3.1708, 2.86692, 2.62865, 2.42894, 2.20161, 2.0138, 1.84377,
22201  1.67905, 1.53408, 1.37171, 1.22428, 1.1156, 1.00782, 0.90677,
22202  0.807581, 0.723074, 0.63628, 0.560371, 0.484471, 0.421146, 0.356213,
22203  0.299116, 0.250689, 0.197137, 0.152691, 0.111, 0.069644, 0.0,
22204  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22205  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 518.326,
22206  508.436, 497.833, 486.462, 474.271, 461.198, 447.18, 432.149,
22207  416.033, 398.751, 380.22, 360.351, 339.045, 316.2, 291.704,
22208  265.437, 237.273, 207.073, 174.69, 139.967, 102.735, 62.8124,
22209  52.0961, 49.8913, 47.5272, 44.9922, 42.274, 39.3594, 36.2341,
22210  32.883, 29.2897, 26.7457, 25.3269, 23.8056, 22.1743, 20.4251,
22211  18.5496, 17.4682, 16.3867, 15.227, 13.9836, 13.0846, 12.1613,
22212  11.1712, 10.4558, 9.78481, 9.07319, 8.33862, 7.5663, 7.06711,
22213  6.54738, 6.07626, 5.61147, 5.15681, 4.78997, 4.4257, 4.08058,
22214  3.75067, 3.41279, 3.16384, 2.92818, 2.68342, 2.46444, 2.23584,
22215  2.04385, 1.86487, 1.69987, 1.54523, 1.41041, 1.27861, 1.14557,
22216  1.02875, 0.925423, 0.835435, 0.737134, 0.646442, 0.569805, 0.504187,
22217  0.436398, 0.37052, 0.312949, 0.259762, 0.207866, 0.162285, 0.118968,
22218  0.0764348, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22219  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22220  0.0, 520.563, 510.784, 500.298, 489.054, 476.998, 464.071,
22221  450.209, 435.346, 419.408, 402.319, 383.995, 364.346, 343.278,
22222  320.687, 296.463, 270.489, 242.637, 212.773, 180.751, 146.415,
22223  109.597, 70.1187, 52.6006, 50.4816, 48.2094, 45.7731, 43.1607,
22224  40.3595, 37.3558, 34.1352, 30.6817, 27.7459, 26.1843, 24.5099,
22225  22.7144, 20.7892, 18.7248, 17.4321, 16.3636, 15.218, 13.9895,
22226  13.0628, 12.2096, 11.2948, 10.5214, 9.82742, 9.09038, 8.44883,
22227  7.76091, 7.22698, 6.68568, 6.1713, 5.66315, 5.21373, 4.82608,
22228  4.46325, 4.12701, 3.82306, 3.52214, 3.23713, 2.9629, 2.72908,
22229  2.49573, 2.27463, 2.09347, 1.9089, 1.72854, 1.58424, 1.41264,
22230  1.29391, 1.16949, 1.05433, 0.942335, 0.833954, 0.745679, 0.669341,
22231  0.581599, 0.509038, 0.442365, 0.382938, 0.324175, 0.27018, 0.215416,
22232  0.17178, 0.127396, 0.0825061, 0.0, 0.0, 0.0, 0.0,
22233  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22234  0.0, 0.0, 0.0, 519.095, 509.489, 499.189, 488.144,
22235  476.302, 463.603, 449.987, 435.386, 419.731, 402.944, 384.944,
22236  365.643, 344.948, 322.756, 298.961, 273.447, 246.088, 216.753,
22237  185.297, 151.569, 115.403, 76.6227, 52.5576, 50.411, 48.1093,
22238  45.6413, 42.9949, 40.1573, 37.1146, 33.852, 30.3537, 27.0222,
22239  25.7132, 24.3096, 22.8045, 21.1907, 19.4603, 18.0625, 16.9105,
22240  15.6753, 14.3508, 13.2614, 12.3523, 11.3776, 10.5198, 9.84613,
22241  9.12379, 8.51077, 7.87746, 7.28319, 6.68389, 6.19966, 5.7334,
22242  5.32436, 4.94049, 4.57633, 4.22854, 3.8825, 3.5559, 3.29703,
22243  3.00432, 2.74796, 2.53373, 2.31254, 2.1433, 1.9587, 1.75864,
22244  1.60971, 1.4531, 1.33274, 1.18864, 1.06936, 0.956086, 0.8584,
22245  0.763708, 0.682891, 0.599531, 0.524169, 0.456458, 0.39427, 0.337091,
22246  0.276973, 0.228356, 0.180411, 0.136955, 0.0932615, 0.0506047, 0.0,
22247  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22248  0.0, 0.0, 0.0, 0.0, 0.0, 529.196, 519.524,
22249  509.153, 498.032, 486.107, 473.321, 459.611, 444.91, 429.147,
22250  412.244, 394.12, 374.687, 353.848, 331.504, 307.545, 281.855,
22251  254.308, 224.771, 193.098, 159.137, 122.722, 83.675, 52.6109,
22252  50.5468, 48.3335, 45.9602, 43.4155, 40.6868, 37.761, 34.6237,
22253  31.2597, 27.6526, 26.2371, 24.7428, 23.1406, 21.4226, 19.5804,
22254  18.0066, 16.9244, 15.764, 14.5197, 13.4001, 12.534, 11.6052,
22255  10.6945, 9.95569, 9.16345, 8.52517, 7.93266, 7.35206, 6.78013,
22256  6.28604, 5.82583, 5.39278, 4.96137, 4.54936, 4.21982, 3.98118,
22257  3.64114, 3.35126, 3.04138, 2.83091, 2.59105, 2.36575, 2.13715,
22258  1.97082, 1.81067, 1.60832, 1.49165, 1.33906, 1.21228, 1.09371,
22259  0.98899, 0.885847, 0.777815, 0.690042, 0.615586, 0.537257, 0.470279,
22260  0.403108, 0.357675, 0.286698, 0.238003, 0.189434, 0.143078, 0.099347,
22261  0.058244, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22262  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22263  523.504, 514.096, 504.009, 493.193, 481.595, 469.159, 455.824,
22264  441.526, 426.194, 409.754, 392.126, 373.225, 352.957, 331.225,
22265  307.922, 282.935, 256.142, 227.413, 196.608, 163.577, 128.159,
22266  90.1811, 53.2865, 51.2163, 48.9966, 46.6164, 44.0642, 41.3275,
22267  38.3931, 35.2467, 31.8728, 28.2552, 26.4669, 25.0158, 23.4599,
22268  21.7914, 20.0025, 18.3119, 17.2495, 16.1103, 14.8888, 13.6877,
22269  12.774, 11.7943, 10.7856, 10.0838, 9.33124, 8.64997, 8.03209,
22270  7.42194, 6.86406, 6.36971, 5.9602, 5.50599, 5.04556, 4.62256,
22271  4.3304, 3.97594, 3.66086, 3.36159, 3.09336, 2.83705, 2.5856,
22272  2.41238, 2.18752, 1.98819, 1.8329, 1.66768, 1.4977, 1.36272,
22273  1.23939, 1.1055, 1.00704, 0.904242, 0.8068, 0.712263, 0.628365,
22274  0.553746, 0.485948, 0.415541, 0.355289, 0.299095, 0.251185, 0.19924,
22275  0.150034, 0.107811, 0.0669161, 0.0, 0.0, 0.0, 0.0,
22276  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22277  0.0, 0.0, 520.034, 510.834, 500.969, 490.392, 479.05,
22278  466.888, 453.848, 439.865, 424.872, 408.795, 391.556, 373.072,
22279  353.252, 331.999, 309.211, 284.775, 258.574, 230.479, 200.354,
22280  168.052, 133.416, 96.2764, 56.4529, 51.6566, 49.4781, 47.1421,
22281  44.6373, 41.9515, 39.0716, 35.9836, 32.6724, 29.1219, 26.9238,
22282  25.4371, 23.843, 22.1337, 20.3008, 18.4074, 17.3206, 16.1551,
22283  14.9055, 13.6069, 12.8277, 11.9923, 11.0965, 10.3456, 9.55502,
22284  8.81577, 8.21413, 7.58533, 6.98117, 6.41088, 5.98181, 5.52936,
22285  5.06917, 4.70311, 4.37615, 4.04851, 3.72189, 3.41238, 3.13042,
22286  2.89938, 2.66978, 2.41433, 2.19545, 2.00786, 1.86663, 1.68348,
22287  1.53633, 1.3913, 1.24899, 1.11735, 1.02205, 0.917191, 0.823661,
22288  0.722906, 0.642277, 0.568905, 0.496093, 0.429033, 0.36963, 0.31221,
22289  0.255436, 0.210094, 0.163535, 0.115518, 0.0723619, 0.0, 0.0,
22290  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22291  0.0, 0.0, 0.0, 0.0, 522.388, 513.274, 503.501,
22292  493.022, 481.785, 469.737, 456.817, 442.965, 428.111, 412.183,
22293  395.105, 376.792, 357.156, 336.101, 313.524, 289.316, 263.358,
22294  235.525, 205.68, 173.678, 139.363, 102.569, 63.1156, 51.9343,
22295  49.7879, 47.4864, 45.0186, 42.3725, 39.5352, 36.4928, 33.2305,
22296  29.7325, 27.1618, 25.6614, 24.0526, 22.3276, 20.4779, 18.4945,
22297  17.404, 16.3416, 15.2024, 13.9808, 13.0905, 12.1833, 11.2106,
22298  10.4076, 9.61958, 8.82897, 8.19758, 7.52599, 6.98469, 6.43503,
22299  6.03837, 5.63796, 5.23734, 4.82578, 4.44317, 4.07256, 3.71257,
22300  3.43998, 3.20063, 2.91987, 2.70638, 2.45079, 2.25981, 2.0604,
22301  1.8738, 1.68202, 1.56019, 1.40871, 1.28349, 1.14881, 1.04358,
22302  0.933001, 0.840634, 0.743547, 0.660019, 0.573822, 0.507223, 0.437279,
22303  0.37514, 0.3265, 0.263754, 0.217509, 0.168338, 0.124461, 0.0818451,
22304  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22305  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 527.024,
22306  517.956, 508.232, 497.805, 486.625, 474.637, 461.782, 447.999,
22307  433.219, 417.371, 400.378, 382.158, 362.62, 341.67, 319.207,
22308  295.12, 269.292, 241.598, 211.902, 180.061, 145.918, 109.308,
22309  70.052, 52.5026, 50.3241, 47.9882, 45.4835, 42.7977, 39.9179,
22310  36.8299, 33.5188, 29.9684, 27.0124, 25.62, 24.1271, 22.5263,
22311  20.8097, 18.9692, 17.7147, 16.6207, 15.4476, 14.1897, 13.1818,
22312  12.2252, 11.1994, 10.4193, 9.79338, 9.12447, 8.45701, 7.74132,
22313  7.22116, 6.70206, 6.15415, 5.63141, 5.21866, 4.8569, 4.50425,
22314  4.16024, 3.83998, 3.48102, 3.17802, 2.97393, 2.74618, 2.49904,
22315  2.29202, 2.08607, 1.89134, 1.7379, 1.58781, 1.42582, 1.30656,
22316  1.1819, 1.04344, 0.947214, 0.849281, 0.761926, 0.669424, 0.594762,
22317  0.518272, 0.453028, 0.387921, 0.332623, 0.279865, 0.226115, 0.182119,
22318  0.133915, 0.0886602, 0.0, 0.0, 0.0, 0.0, 0.0,
22319  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22320  0.0, 530.497, 521.475, 511.801, 501.428, 490.306, 478.379,
22321  465.591, 451.878, 437.175, 421.409, 404.503, 386.376, 366.939,
22322  346.097, 323.749, 299.786, 274.091, 246.539, 216.996, 185.318,
22323  151.351, 114.929, 75.8754, 52.0956, 50.0023, 47.7577, 45.3508,
22324  42.7701, 40.0028, 37.0356, 33.8539, 30.4423, 27.1964, 25.7749,
22325  24.2506, 22.6161, 20.8635, 18.9843, 17.612, 16.6069, 15.5291,
22326  14.3734, 13.3485, 12.4102, 11.4041, 10.5586, 9.94516, 9.28744,
22327  8.58795, 7.83868, 7.27452, 6.77119, 6.24108, 5.71104, 5.35193,
22328  4.92851, 4.50737, 4.18284, 3.83827, 3.58175, 3.29506, 3.05616,
22329  2.737, 2.54075, 2.32147, 2.11736, 1.94135, 1.75333, 1.60146,
22330  1.45728, 1.31598, 1.18961, 1.08254, 0.967215, 0.868533, 0.768618,
22331  0.681624, 0.607683, 0.534546, 0.459171, 0.398189, 0.338191, 0.285687,
22332  0.234381, 0.192387, 0.140123, 0.0973742, 0.0541668, 0.0, 0.0,
22333  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22334  0.0, 0.0, 0.0, 525.781, 516.977, 507.536, 497.413,
22335  486.559, 474.92, 462.44, 449.058, 434.709, 419.323, 402.825,
22336  385.135, 366.166, 345.827, 324.018, 300.632, 275.557, 248.67,
22337  219.839, 188.925, 155.777, 120.233, 82.121, 52.7023, 50.6193,
22338  48.3859, 45.991, 43.4231, 40.6695, 37.717, 34.5511, 31.1565,
22339  27.5505, 26.1597, 24.6684, 23.0693, 21.3546, 19.516, 17.9658,
22340  16.8811, 15.718, 14.4709, 13.3662, 12.5111, 11.5942, 10.7167,
22341  10.0391, 9.31243, 8.61963, 7.91027, 7.32671, 6.85012, 6.35208,
22342  5.8249, 5.35538, 4.93257, 4.57512, 4.26985, 3.91795, 3.63188,
22343  3.34433, 3.04705, 2.74226, 2.57659, 2.34988, 2.14117, 1.95215,
22344  1.77334, 1.63545, 1.4846, 1.33848, 1.21011, 1.10232, 0.98371,
22345  0.876781, 0.783526, 0.702173, 0.618647, 0.537705, 0.469081, 0.408394,
22346  0.355514, 0.294367, 0.241835, 0.198024, 0.148352, 0.104981, 0.060168,
22347  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22348  0.0, 0.0, 0.0, 0.0, 0.0, 529.999, 521.246,
22349  511.861, 501.798, 491.008, 479.438, 467.032, 453.729, 439.465,
22350  424.17, 407.77, 390.184, 371.328, 351.109, 329.429, 306.182,
22351  281.255, 254.526, 225.866, 195.135, 162.183, 126.85, 88.9633,
22352  53.565, 51.4795, 49.2433, 46.8455, 44.2744, 41.5175, 38.5614,
22353  35.3916, 31.9928, 28.3483, 26.5742, 25.0367, 23.3881, 21.6203,
22354  19.7248, 17.9788, 16.8907, 15.7239, 14.4728, 13.2949, 12.4979,
22355  11.6432, 10.76, 10.0278, 9.24272, 8.56545, 7.96697, 7.38059,
22356  6.83938, 6.35398, 5.9291, 5.45319, 4.99122, 4.59936, 4.25774,
22357  3.90366, 3.59632, 3.33118, 3.05735, 2.80933, 2.57509, 2.3903,
22358  2.16095, 2.00423, 1.81891, 1.6554, 1.50748, 1.35229, 1.23253,
22359  1.11929, 0.993049, 0.890347, 0.796527, 0.714448, 0.632266, 0.55365,
22360  0.487889, 0.421549, 0.364904, 0.305057, 0.247634, 0.20483, 0.159165,
22361  0.111275, 0.0708165, 0.0, 0.0, 0.0, 0.0, 0.0,
22362  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22363  540.542, 531.698, 522.215, 512.046, 501.143, 489.452, 476.915,
22364  463.473, 449.06, 433.604, 417.032, 399.263, 380.209, 359.778,
22365  337.87, 314.38, 289.192, 262.183, 233.223, 202.17, 168.872,
22366  133.169, 94.8849, 53.8344, 50.9012, 48.75, 46.4433, 43.9699,
22367  41.3178, 38.474, 35.4247, 32.155, 28.6491, 26.5897, 25.1205,
22368  23.5451, 21.8558, 20.0445, 18.2295, 17.2435, 16.1862, 15.0526,
22369  13.8863, 13.0379, 12.1281, 11.1526, 10.4662, 9.73618, 8.97335,
22370  8.1842, 7.43801, 6.96281, 6.47049, 5.97527, 5.5281, 5.1016,
22371  4.70154, 4.31605, 3.96468, 3.66897, 3.40223, 3.13469, 2.89246,
22372  2.62439, 2.41283, 2.20476, 2.04064, 1.83085, 1.70185, 1.51543,
22373  1.37989, 1.24361, 1.12506, 1.02711, 0.91028, 0.81164, 0.734723,
22374  0.646254, 0.572508, 0.500753, 0.434607, 0.373073, 0.31213, 0.266418,
22375  0.21281, 0.172235, 0.122479, 0.0768545, 0.0, 0.0, 0.0,
22376  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22377  0.0, 0.0, 534.304, 525.698, 516.471, 506.576, 495.967,
22378  484.591, 472.392, 459.313, 445.288, 430.249, 414.124, 396.833,
22379  378.293, 358.413, 337.096, 314.239, 289.73, 263.45, 235.27,
22380  205.054, 172.655, 137.914, 100.662, 60.7184, 51.7655, 49.6046,
22381  47.2874, 44.8028, 42.1387, 39.282, 36.2189, 32.9345, 29.4126,
22382  26.9813, 25.504, 23.9199, 22.2213, 20.3999, 18.4469, 17.3912,
22383  16.2942, 15.1178, 13.8565, 12.9571, 12.012, 10.9987, 10.2956,
22384  9.62191, 8.93066, 8.27863, 7.59822, 7.06605, 6.52261, 6.05192,
22385  5.57265, 5.08941, 4.76872, 4.41048, 4.04664, 3.72262, 3.43875,
22386  3.13001, 2.87991, 2.66306, 2.46373, 2.23496, 2.03152, 1.8718,
22387  1.7168, 1.54643, 1.42257, 1.2499, 1.14105, 1.03031, 0.921663,
22388  0.833114, 0.740168, 0.652404, 0.584262, 0.513729, 0.44008, 0.381124,
22389  0.32098, 0.270811, 0.220762, 0.175417, 0.124692, 0.0829, 0.0,
22390  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22391  0.0, 0.0, 0.0, 0.0, 532.048, 523.594, 514.529,
22392  504.809, 494.386, 483.211, 471.227, 458.378, 444.6, 429.827,
22393  413.985, 396.999, 378.786, 359.256, 338.315, 315.86, 291.783,
22394  265.966, 238.283, 208.599, 176.77, 142.642, 106.046, 66.8063,
22395  52.0408, 49.8449, 47.4904, 44.9657, 42.2585, 39.3557, 36.2431,
22396  32.9056, 29.3269, 26.5501, 25.2077, 23.7683, 22.2248, 20.5698,
22397  18.7952, 17.5553, 16.3784, 15.1164, 13.7633, 12.8692, 12.0455,
22398  11.1623, 10.4487, 9.79634, 9.10276, 8.40595, 7.65879, 7.09925,
22399  6.52841, 6.16822, 5.73941, 5.20827, 4.85133, 4.46126, 4.07237,
22400  3.79176, 3.44127, 3.2329, 2.95784, 2.68827, 2.46688, 2.28582,
22401  2.05878, 1.87628, 1.70104, 1.55479, 1.43113, 1.28944, 1.15847,
22402  1.03603, 0.94301, 0.84009, 0.757739, 0.671937, 0.591982, 0.520855,
22403  0.454267, 0.392848, 0.332849, 0.280864, 0.231217, 0.186126, 0.138277,
22404  0.0912099, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22405  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 536.916,
22406  528.474, 519.423, 509.717, 499.31, 488.151, 476.186, 463.355,
22407  449.598, 434.846, 419.028, 402.067, 383.881, 364.38, 343.47,
22408  321.048, 297.007, 271.228, 243.586, 213.946, 182.165, 148.086,
22409  111.545, 72.3632, 51.7783, 49.7004, 47.4723, 45.0833, 42.5216,
22410  39.7747, 36.8294, 33.6712, 30.2848, 27.2447, 25.7904, 24.2311,
22411  22.5591, 20.7663, 18.8439, 17.4868, 16.3917, 15.2175, 13.9584,
22412  13.0017, 12.1843, 11.3079, 10.5225, 9.82026, 9.06732, 8.43799,
22413  7.76957, 7.16687, 6.55191, 6.159, 5.753, 5.26752, 4.83728,
22414  4.46127, 4.14407, 3.80271, 3.44699, 3.21962, 3.00313, 2.71667,
22415  2.50478, 2.28006, 2.08101, 1.9013, 1.73349, 1.5912, 1.4404,
22416  1.29904, 1.21014, 1.06797, 0.959903, 0.855569, 0.753867, 0.676032,
22417  0.605159, 0.532553, 0.466005, 0.402651, 0.343867, 0.289603, 0.239247,
22418  0.188433, 0.142973, 0.0994898, 0.0, 0.0, 0.0, 0.0,
22419  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22420  0.0, 531.597, 523.352, 514.51, 505.029, 494.863, 483.962,
22421  472.274, 459.741, 446.302, 431.892, 416.44, 399.872, 382.107,
22422  363.058, 342.632, 320.73, 297.245, 272.063, 245.061, 216.108,
22423  185.062, 151.773, 116.079, 77.8042, 51.9167, 49.8632, 47.6613,
22424  45.3003, 42.7687, 40.0542, 37.1434, 34.0223, 30.6757, 27.3387,
22425  25.9533, 24.4677, 22.8748, 21.1668, 19.3354, 17.8744, 16.7836,
22426  15.614, 14.3599, 13.3037, 12.453, 11.5408, 10.6612, 9.88038,
22427  9.0431, 8.43315, 7.84477, 7.26732, 6.67879, 6.22602, 5.80063,
22428  5.3461, 4.90714, 4.50748, 4.19936, 3.87405, 3.54025, 3.25529,
22429  3.00581, 2.7549, 2.52638, 2.30463, 2.12007, 1.94948, 1.75058,
22430  1.62949, 1.47401, 1.32849, 1.18994, 1.09801, 0.970073, 0.874704,
22431  0.767287, 0.687877, 0.614734, 0.542194, 0.466033, 0.408064, 0.354077,
22432  0.295933, 0.249856, 0.200192, 0.15239, 0.107486, 0.0623316, 0.0,
22433  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22434  0.0, 0.0, 0.0, 533.448, 525.286, 516.535, 507.151,
22435  497.089, 486.3, 474.731, 462.326, 449.024, 434.762, 419.468,
22436  403.07, 385.486, 366.631, 346.414, 324.736, 301.492, 276.567,
22437  249.842, 221.185, 190.457, 157.508, 122.178, 84.2952, 52.9501,
22438  50.8317, 48.5602, 46.1245, 43.5128, 40.7124, 37.7096, 34.4898,
22439  31.0373, 27.3353, 25.8961, 24.4594, 22.9189, 21.267, 19.4958,
22440  17.9593, 16.932, 15.8304, 14.6493, 13.5368, 12.6164, 11.6295,
22441  10.6713, 9.97068, 9.21945, 8.57678, 7.96913, 7.35761, 6.74363,
22442  6.24038, 5.80362, 5.36953, 4.93457, 4.51554, 4.1775, 3.85401,
22443  3.58111, 3.31238, 3.03365, 2.78582, 2.50144, 2.34071, 2.13741,
22444  1.96604, 1.78994, 1.62464, 1.4772, 1.33294, 1.21733, 1.10059,
22445  0.993252, 0.890275, 0.784361, 0.707105, 0.624338, 0.55793, 0.484049,
22446  0.416556, 0.358771, 0.304831, 0.256956, 0.20353, 0.160861, 0.115276,
22447  0.0685998, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22448  0.0, 0.0, 0.0, 0.0, 0.0, 538.027, 529.876,
22449  521.136, 511.765, 501.716, 490.941, 479.388, 466.999, 453.716,
22450  439.472, 424.199, 407.822, 390.262, 371.433, 351.243, 329.594,
22451  306.38, 281.489, 254.799, 226.18, 195.493, 162.588, 127.305,
22452  89.473, 52.4998, 50.4695, 48.2924, 45.958, 43.455, 40.771,
22453  37.893, 34.8071, 31.4982, 27.9501, 26.1697, 24.7296, 23.1854,
22454  21.5296, 19.7541, 18.0687, 17.0042, 15.8628, 14.6388, 13.4552,
22455  12.6439, 11.774, 10.8645, 10.1147, 9.31074, 8.61327, 8.01625,
22456  7.4258, 6.88639, 6.36602, 5.87692, 5.4478, 5.03323, 4.6375,
22457  4.31225, 3.97582, 3.62339, 3.32143, 3.05563, 2.80264, 2.58336,
22458  2.34187, 2.16893, 1.98974, 1.79084, 1.64147, 1.53235, 1.35787,
22459  1.23413, 1.123, 1.00747, 0.903305, 0.80436, 0.72142, 0.641603,
22460  0.557365, 0.491856, 0.432111, 0.370639, 0.317048, 0.265291, 0.217256,
22461  0.169867, 0.121329, 0.0773166, 0.0, 0.0, 0.0, 0.0,
22462  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22463  540.769, 532.667, 523.98, 514.666, 504.678, 493.968, 482.485,
22464  470.171, 456.968, 442.81, 427.63, 411.352, 393.898, 375.183,
22465  355.115, 333.597, 310.523, 285.783, 259.254, 230.809, 200.307,
22466  167.602, 132.532, 94.9288, 54.6078, 50.5255, 48.3768, 46.0728,
22467  43.6024, 40.9533, 38.1129, 35.0671, 31.8013, 28.2995, 26.209,
22468  24.7969, 23.2828, 21.6593, 19.9185, 18.1397, 17.138, 16.0639,
22469  14.9122, 13.717, 12.8888, 12.0008, 11.0486, 10.2804, 9.46904,
22470  8.70894, 8.07317, 7.44608, 6.9834, 6.49571, 5.99103, 5.53153,
22471  5.09493, 4.68941, 4.34704, 4.00872, 3.67703, 3.37803, 3.09589,
22472  2.83041, 2.6009, 2.41972, 2.19846, 1.99604, 1.84704, 1.68187,
22473  1.52642, 1.37893, 1.2503, 1.12614, 1.03069, 0.926327, 0.822839,
22474  0.736754, 0.658144, 0.576308, 0.500683, 0.43453, 0.3798, 0.324257,
22475  0.268958, 0.224465, 0.174711, 0.129684, 0.0839375, 0.0, 0.0,
22476  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22477  0.0, 0.0, 538.645, 530.668, 522.114, 512.943, 503.109,
22478  492.564, 481.257, 469.132, 456.132, 442.192, 427.245, 411.217,
22479  394.031, 375.604, 355.844, 334.657, 311.938, 287.578, 261.457,
22480  233.449, 203.416, 171.213, 136.683, 99.6573, 59.956, 50.4113,
22481  48.3403, 46.1196, 43.7384, 41.1852, 38.4474, 35.5118, 32.364,
22482  28.9888, 26.6243, 25.2209, 23.7161, 22.1026, 20.3724, 18.5172,
22483  17.4057, 16.2611, 15.0337, 13.7176, 12.8747, 12.0066, 11.0758,
22484  10.3105, 9.54497, 8.79621, 8.22017, 7.60742, 7.01616, 6.4311,
22485  6.02982, 5.59258, 5.11928, 4.72975, 4.39543, 4.07026, 3.7428,
22486  3.4569, 3.12014, 2.88256, 2.65851, 2.43249, 2.25079, 2.01317,
22487  1.87498, 1.67865, 1.54618, 1.42264, 1.27003, 1.17689, 1.02788,
22488  0.931899, 0.840039, 0.735796, 0.657794, 0.583257, 0.519181, 0.447844,
22489  0.387838, 0.333529, 0.282898, 0.230655, 0.185541, 0.136756, 0.0911275,
22490  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22491  0.0, 0.0, 0.0, 0.0, 533.332, 525.564, 517.234,
22492  508.302, 498.724, 488.455, 477.443, 465.636, 452.975, 439.399,
22493  424.842, 409.233, 392.497, 374.55, 355.307, 334.673, 312.548,
22494  288.824, 263.385, 236.108, 206.86, 175.498, 141.87, 105.812,
22495  67.1475, 52.3293, 50.14, 47.7925, 45.2753, 42.5763, 39.6822,
22496  36.579, 33.2515, 29.6835, 26.8611, 25.4247, 23.8846, 22.2331,
22497  20.4623, 18.5635, 17.3736, 16.3011, 15.1511, 13.918, 12.9881,
22498  12.0903, 11.1275, 10.3162, 9.5563, 8.77155, 8.18548, 7.55706,
22499  7.12217, 6.67293, 6.17375, 5.70525, 5.31789, 4.8164, 4.40271,
22500  4.08216, 3.74283, 3.45026, 3.17072, 2.9104, 2.67652, 2.44975,
22501  2.26055, 2.04232, 1.88368, 1.69978, 1.57461, 1.42528, 1.29156,
22502  1.18647, 1.05141, 0.939098, 0.84523, 0.756356, 0.674068, 0.590415,
22503  0.53121, 0.46363, 0.39954, 0.344779, 0.286011, 0.23705, 0.188891,
22504  0.145248, 0.0975846, 0.0, 0.0, 0.0, 0.0, 0.0,
22505  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 538.715,
22506  530.948, 522.62, 513.691, 504.116, 493.849, 482.84, 471.036,
22507  458.378, 444.806, 430.253, 414.648, 397.916, 379.974, 360.736,
22508  340.108, 317.988, 294.27, 268.839, 241.569, 212.329, 180.975,
22509  147.356, 111.307, 72.6527, 52.4688, 50.3122, 47.9997, 45.5202,
22510  42.8615, 40.0106, 36.9537, 33.6759, 30.1612, 27.0375, 25.6122,
22511  24.0839, 22.4451, 20.6879, 18.8037, 17.4851, 16.4226, 15.2833,
22512  14.0616, 13.0519, 12.1249, 11.1311, 10.317, 9.66833, 8.97282,
22513  8.36493, 7.71737, 7.16411, 6.60853, 6.12574, 5.6349, 5.15759,
22514  4.80956, 4.49683, 4.17349, 3.87606, 3.47057, 3.23645, 2.96573,
22515  2.72032, 2.46749, 2.27538, 2.10267, 1.91728, 1.76624, 1.58422,
22516  1.44148, 1.28954, 1.19198, 1.08278, 0.969456, 0.859507, 0.774918,
22517  0.683978, 0.614373, 0.540976, 0.46687, 0.413641, 0.349582, 0.298304,
22518  0.246494, 0.196865, 0.152246, 0.106508, 0.0, 0.0, 0.0,
22519  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22520  0.0, 540.19, 532.489, 524.232, 515.379, 505.885, 495.705,
22521  484.79, 473.086, 460.536, 447.079, 432.65, 417.178, 400.588,
22522  382.799, 363.724, 343.271, 321.339, 297.823, 272.607, 245.57,
22523  216.578, 185.491, 152.157, 116.414, 78.0889, 52.7137, 50.5121,
22524  48.1513, 45.6199, 42.9056, 39.9951, 36.8743, 33.5279, 29.9397,
22525  26.4264, 25.1631, 23.8085, 22.3559, 20.7985, 19.1284, 17.7506,
22526  16.6407, 15.4507, 14.1746, 13.1268, 12.2978, 11.4088, 10.5736,
22527  9.86014, 9.09516, 8.4683, 7.83577, 7.24229, 6.65137, 6.15176,
22528  5.67433, 5.31691, 4.88365, 4.43544, 4.10714, 3.78848, 3.51576,
22529  3.25255, 3.00145, 2.69802, 2.50669, 2.29907, 2.13638, 1.9346,
22530  1.7599, 1.59741, 1.46474, 1.32011, 1.183, 1.0812, 0.970141,
22531  0.876597, 0.782678, 0.705265, 0.615669, 0.547895, 0.47991, 0.416513,
22532  0.363717, 0.304382, 0.253363, 0.205539, 0.156013, 0.110843, 0.0669884,
22533  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22534  0.0, 0.0, 0.0, 541.493, 533.845, 525.644, 516.85,
22535  507.421, 497.311, 486.47, 474.845, 462.38, 449.015, 434.684,
22536  419.317, 402.839, 385.171, 366.226, 345.911, 324.129, 300.772,
22537  275.728, 248.874, 220.079, 189.203, 156.096, 120.596, 82.5306,
22538  52.0683, 50.0073, 47.7974, 45.4278, 42.8869, 40.1624, 37.241,
22539  34.1085, 30.7496, 27.1479, 25.7691, 24.3256, 22.7777, 21.118,
22540  19.3383, 17.8293, 16.824, 15.7461, 14.5902, 13.4913, 12.5356,
22541  11.5109, 10.5456, 9.8911, 9.18929, 8.54449, 7.90091, 7.28715,
22542  6.70083, 6.24752, 5.8657, 5.35391, 4.88684, 4.49152, 4.11941,
22543  3.88692, 3.63161, 3.28666, 3.01435, 2.79307, 2.56022, 2.30943,
22544  2.13997, 1.96807, 1.80666, 1.61723, 1.48558, 1.34454, 1.2137,
22545  1.07832, 0.968321, 0.899697, 0.806917, 0.708042, 0.634795, 0.554209,
22546  0.483152, 0.42898, 0.379292, 0.31345, 0.265048, 0.211667, 0.164468,
22547  0.115425, 0.0730355, 0.0, 0.0, 0.0, 0.0, 0.0,
22548  0.0, 0.0, 0.0, 0.0, 0.0, 540.707, 533.156,
22549  525.059, 516.378, 507.069, 497.087, 486.384, 474.907, 462.601,
22550  449.406, 435.257, 420.086, 403.818, 386.375, 367.671, 347.615,
22551  326.11, 303.051, 278.326, 251.813, 223.385, 192.902, 160.217,
22552  125.169, 87.5884, 52.2809, 50.2543, 48.0813, 45.7513, 43.2529,
22553  40.5739, 37.7013, 34.6211, 31.3183, 27.7769, 26.0273, 24.5163,
22554  22.896, 21.1587, 19.2958, 17.5977, 16.6172, 15.5658, 14.4384,
22555  13.3387, 12.4783, 11.5557, 10.6147, 9.93153, 9.19895, 8.54737,
22556  7.95484, 7.36124, 6.79224, 6.29887, 5.88985, 5.4142, 4.95816,
22557  4.59374, 4.30392, 3.92587, 3.60034, 3.32105, 3.04161, 2.79796,
22558  2.54529, 2.35114, 2.14842, 1.95635, 1.80469, 1.6549, 1.46599,
22559  1.35404, 1.2215, 1.0981, 1.00294, 0.896264, 0.808211, 0.723614,
22560  0.642529, 0.57058, 0.499741, 0.436694, 0.37472, 0.322264, 0.273409,
22561  0.220225, 0.173202, 0.125565, 0.0817575, 0.0, 0.0, 0.0,
22562  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22563  542.751, 535.259, 527.226, 518.612, 509.375, 499.471, 488.852,
22564  477.464, 465.254, 452.162, 438.123, 423.07, 406.929, 389.622,
22565  371.063, 351.164, 329.826, 306.947, 282.414, 256.108, 227.901,
22566  197.656, 165.225, 130.45, 93.1626, 53.1801, 50.9272, 48.7691,
22567  46.4551, 43.9739, 41.3133, 38.4605, 35.4015, 32.1215, 28.6044,
22568  26.5461, 25.0251, 23.3943, 21.6456, 19.7705, 17.9155, 16.9381,
22569  15.89, 14.7662, 13.6106, 12.7158, 11.7562, 10.7277, 10.0634,
22570  9.35114, 8.66822, 8.04493, 7.42739, 6.9161, 6.39293, 5.8762,
22571  5.42635, 4.99595, 4.55818, 4.22573, 3.91197, 3.6367, 3.37527,
22572  3.08788, 2.84858, 2.61436, 2.40295, 2.20666, 1.96153, 1.81511,
22573  1.65445, 1.5101, 1.37408, 1.25502, 1.13066, 1.01609, 0.92473,
22574  0.813959, 0.722768, 0.643496, 0.571753, 0.509794, 0.448926, 0.381843,
22575  0.331189, 0.277033, 0.22603, 0.183905, 0.132132, 0.084017, 0.0,
22576  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22577  0.0, 0.0, 538.539, 531.195, 523.32, 514.876, 505.822,
22578  496.114, 485.704, 474.541, 462.572, 449.739, 435.977, 421.221,
22579  405.399, 388.433, 370.241, 350.735, 329.819, 307.391, 283.343,
22580  257.556, 229.906, 200.258, 168.468, 134.379, 97.8279, 58.6349,
22581  51.2942, 49.1176, 46.7838, 44.2813, 41.598, 38.7207, 35.6355,
22582  32.3274, 28.7802, 26.4613, 25.0422, 23.5206, 21.889, 20.1394,
22583  18.2693, 17.1711, 15.9936, 14.7309, 13.377, 12.6088, 11.7861,
22584  10.904, 10.1664, 9.40769, 8.68241, 8.11439, 7.51671, 6.95644,
22585  6.40164, 5.95833, 5.52673, 5.10233, 4.70101, 4.33739, 4.01649,
22586  3.70171, 3.36801, 3.13079, 2.9011, 2.61355, 2.42323, 2.23933,
22587  2.02506, 1.8455, 1.69813, 1.52169, 1.39149, 1.24118, 1.12398,
22588  1.03103, 0.924924, 0.826718, 0.738825, 0.675314, 0.593908, 0.513902,
22589  0.457775, 0.395444, 0.337949, 0.288554, 0.237851, 0.190876, 0.138662,
22590  0.0937634, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22591  0.0, 0.0, 0.0, 0.0, 555.17, 547.645, 539.576,
22592  530.924, 521.647, 511.699, 501.033, 489.596, 477.332, 464.181,
22593  450.081, 434.961, 418.749, 401.365, 382.725, 362.738, 341.306,
22594  318.326, 293.685, 267.263, 238.932, 208.553, 175.979, 141.051,
22595  103.598, 63.4396, 50.8028, 48.6908, 46.4261, 43.9977, 41.3939,
22596  38.6019, 35.6081, 32.3979, 28.9558, 26.3812, 24.9732, 23.4635,
22597  21.8448, 20.109, 18.2478, 17.1224, 16.042, 14.8834, 13.6412,
22598  12.752, 11.8676, 10.9192, 10.2166, 9.57709, 8.90281, 8.2359,
22599  7.52079, 7.03096, 6.5129, 6.01334, 5.53776, 5.10671, 4.77548,
22600  4.3401, 3.92708, 3.70057, 3.43939, 3.10593, 2.89842, 2.63735,
22601  2.42606, 2.2365, 2.08963, 1.87077, 1.68856, 1.56364, 1.41452,
22602  1.27156, 1.15593, 1.05643, 0.918852, 0.831358, 0.768828, 0.678506,
22603  0.602251, 0.52109, 0.46293, 0.396553, 0.346686, 0.290235, 0.245889,
22604  0.190197, 0.148623, 0.102156, 0.0, 0.0, 0.0, 0.0,
22605  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 551.521,
22606  544.148, 536.243, 527.766, 518.677, 508.93, 498.48, 487.274,
22607  475.258, 462.374, 448.559, 433.746, 417.862, 400.83, 382.567,
22608  362.984, 341.987, 319.472, 295.329, 269.442, 241.685, 211.921,
22609  180.006, 145.785, 109.091, 69.7451, 52.1917, 49.9981, 47.646,
22610  45.1239, 42.4196, 39.5199, 36.4105, 33.0765, 29.5015, 26.5342,
22611  25.153, 23.6719, 22.0837, 20.3808, 18.5549, 17.3477, 16.3142,
22612  15.2059, 14.0176, 13.0685, 12.1685, 11.2034, 10.388, 9.65734,
22613  8.88304, 8.24913, 7.56941, 7.02192, 6.46295, 6.03897, 5.59064,
22614  5.1163, 4.79378, 4.45133, 4.05523, 3.70844, 3.49051, 3.22694,
22615  2.88911, 2.69036, 2.47567, 2.28456, 2.07118, 1.87903, 1.72123,
22616  1.5632, 1.43872, 1.30834, 1.18258, 1.052, 0.94676, 0.85691,
22617  0.760468, 0.685381, 0.606298, 0.5282, 0.481834, 0.411323, 0.35583,
22618  0.295899, 0.246981, 0.197516, 0.154104, 0.106263, 0.0, 0.0,
22619  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22620  0.0, 529.254, 522.259, 514.757, 506.714, 498.089, 488.841,
22621  478.924, 468.291, 456.89, 444.665, 431.556, 417.499, 402.427,
22622  386.266, 368.937, 350.355, 330.431, 309.067, 286.159, 261.595,
22623  235.256, 207.014, 176.731, 144.259, 109.441, 72.1061, 50.6596,
22624  48.6516, 46.4985, 44.1898, 41.7143, 39.0599, 36.2136, 33.1617,
22625  29.8892, 26.8476, 25.4579, 23.9678, 22.37, 20.6567, 18.8196,
22626  17.465, 16.3999, 15.2579, 14.0333, 13.0435, 12.1928, 11.2806,
22627  10.4713, 9.78907, 9.0575, 8.42561, 7.762, 7.18533, 6.61532,
22628  6.11857, 5.63754, 5.26437, 4.85496, 4.45574, 4.11727, 3.757,
22629  3.53009, 3.21398, 2.94097, 2.75018, 2.48477, 2.26214, 2.06904,
22630  1.91747, 1.73033, 1.59486, 1.4635, 1.30259, 1.17769, 1.06806,
22631  0.975582, 0.867142, 0.770134, 0.703082, 0.624692, 0.545083, 0.476051,
22632  0.413275, 0.361256, 0.313049, 0.260214, 0.20469, 0.161687, 0.111926,
22633  0.06757, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22634  0.0, 0.0, 0.0, 544.198, 537.078, 529.444, 521.258,
22635  512.481, 503.069, 492.977, 482.156, 470.553, 458.111, 444.77,
22636  430.465, 415.127, 398.679, 381.043, 362.133, 341.856, 320.114,
22637  296.8, 271.802, 244.997, 216.255, 185.436, 152.389, 116.955,
22638  78.9594, 52.19, 50.0573, 47.7706, 45.3186, 42.6894, 39.8702,
22639  36.8473, 33.6059, 30.1303, 26.6108, 25.3162, 23.9281, 22.4397,
22640  20.8437, 19.1324, 17.6966, 16.5769, 15.3762, 14.0889, 13.0235,
22641  12.2234, 11.3656, 10.5292, 9.78632, 8.9898, 8.36002, 7.74536,
22642  7.23269, 6.77704, 6.26416, 5.71554, 5.30142, 4.8858, 4.48797,
22643  4.15829, 3.81127, 3.51093, 3.26293, 2.94623, 2.7383, 2.55066,
22644  2.29216, 2.10577, 1.91636, 1.76501, 1.57829, 1.46583, 1.34319,
22645  1.20446, 1.10382, 0.984185, 0.879504, 0.787877, 0.709335, 0.634675,
22646  0.561692, 0.492311, 0.42246, 0.372371, 0.310328, 0.266843, 0.216698,
22647  0.17085, 0.119475, 0.0742802, 0.0, 0.0, 0.0, 0.0,
22648  0.0, 0.0, 0.0, 0.0, 0.0, 546.947, 539.842,
22649  532.223, 524.053, 515.293, 505.9, 495.829, 485.029, 473.449,
22650  461.032, 447.718, 433.441, 418.133, 401.719, 384.118, 365.245,
22651  345.009, 323.31, 300.043, 275.094, 248.343, 219.658, 188.9,
22652  155.92, 120.556, 82.6362, 51.0642, 49.0888, 46.9706, 44.6994,
22653  42.264, 39.6526, 36.8525, 33.8501, 30.6307, 27.1786, 25.7444,
22654  24.3171, 22.7867, 21.1457, 19.3861, 17.8222, 16.7112, 15.52,
22655  14.2427, 13.1245, 12.3816, 11.5851, 10.7607, 9.97678, 9.13624,
22656  8.46656, 7.86746, 7.29554, 6.7575, 6.25483, 5.76629, 5.35266,
22657  4.94532, 4.55145, 4.19109, 3.85111, 3.59931, 3.30947, 2.99134,
22658  2.77738, 2.51942, 2.33025, 2.14036, 1.96187, 1.79576, 1.62595,
22659  1.4897, 1.33873, 1.20751, 1.0939, 0.99435, 0.89229, 0.800657,
22660  0.706763, 0.64138, 0.572925, 0.496066, 0.437338, 0.377419, 0.325232,
22661  0.275187, 0.225032, 0.174957, 0.12579, 0.0791453, 0.0, 0.0,
22662  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22663  545.242, 538.228, 530.708, 522.644, 513.997, 504.726, 494.784,
22664  484.124, 472.694, 460.437, 447.295, 433.203, 418.093, 401.89,
22665  384.517, 365.888, 345.913, 324.495, 301.528, 276.902, 250.497,
22666  222.183, 191.822, 159.268, 124.361, 86.9317, 50.9239, 48.9475,
22667  46.8282, 44.5558, 42.1192, 39.5064, 36.7049, 33.7009, 30.4798,
22668  27.0259, 25.3903, 24.0701, 22.6545, 21.1366, 19.509, 17.9407,
22669  16.815, 15.6079, 14.3136, 13.1056, 12.4002, 11.6438, 10.8447,
22670  10.0873, 9.27516, 8.57101, 7.96014, 7.34218, 6.74522, 6.21219,
22671  5.76061, 5.35894, 4.97689, 4.63145, 4.27197, 3.88805, 3.57387,
22672  3.30166, 3.03581, 2.79793, 2.57765, 2.36891, 2.19554, 1.95924,
22673  1.80405, 1.62835, 1.49257, 1.344, 1.23649, 1.11807, 1.01749,
22674  0.914716, 0.808105, 0.719861, 0.649532, 0.576488, 0.519542, 0.443284,
22675  0.388429, 0.331309, 0.280303, 0.230687, 0.181136, 0.133514, 0.0842725,
22676  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22677  0.0, 0.0, 544.433, 537.497, 530.061, 522.087, 513.536,
22678  504.368, 494.537, 483.996, 472.692, 460.573, 447.577, 433.642,
22679  418.7, 402.678, 385.498, 367.077, 347.324, 326.144, 303.433,
22680  279.081, 252.97, 224.971, 194.949, 162.757, 128.239, 91.2262,
22681  51.5387, 48.9804, 46.9894, 44.8544, 42.5652, 40.1106, 37.4785,
22682  34.6563, 31.63, 28.3851, 26.4072, 24.9236, 23.3328, 21.627,
22683  19.798, 17.9599, 16.8771, 15.7159, 14.4709, 13.2151, 12.4839,
22684  11.6999, 10.8592, 10.0929, 9.27274, 8.53298, 7.93733, 7.33487,
22685  6.80353, 6.30481, 5.90198, 5.48824, 5.06308, 4.64991, 4.28516,
22686  3.95688, 3.65515, 3.34719, 3.04933, 2.82423, 2.60006, 2.34198,
22687  2.20712, 1.97024, 1.81448, 1.64655, 1.51458, 1.34185, 1.24086,
22688  1.12927, 1.01035, 0.908877, 0.831184, 0.748045, 0.656959, 0.586554,
22689  0.513899, 0.456054, 0.39587, 0.336622, 0.286975, 0.238152, 0.188243,
22690  0.142592, 0.0915588, 0.0, 0.0, 0.0, 0.0, 0.0,
22691  0.0, 0.0, 0.0, 0.0, 555.161, 548.166, 540.665,
22692  532.622, 523.997, 514.75, 504.834, 494.202, 482.801, 470.576,
22693  457.468, 443.413, 428.342, 412.181, 394.853, 376.273, 356.35,
22694  334.987, 312.08, 287.518, 261.181, 232.94, 202.659, 170.189,
22695  135.373, 98.0403, 58.0101, 50.4931, 48.3535, 46.0593, 43.5993,
22696  40.9615, 38.1331, 35.1002, 31.8482, 28.3612, 26.0832, 24.6999,
22697  23.2167, 21.6263, 19.921, 18.0965, 17.0909, 16.0125, 14.8562,
22698  13.6163, 12.7856, 11.8966, 10.9434, 10.1764, 9.39411, 8.64376,
22699  8.05153, 7.42376, 6.80305, 6.22647, 5.90531, 5.49096, 5.00656,
22700  4.6812, 4.35422, 4.02005, 3.66392, 3.32823, 3.10157, 2.84144,
22701  2.58955, 2.41881, 2.2056, 1.99377, 1.85004, 1.66939, 1.51795,
22702  1.40684, 1.2415, 1.12267, 1.04894, 0.93507, 0.827278, 0.741247,
22703  0.663636, 0.603321, 0.522824, 0.466098, 0.398922, 0.344423, 0.290971,
22704  0.24808, 0.194799, 0.146729, 0.10104, 0.0, 0.0, 0.0,
22705  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 539.578,
22706  532.883, 525.704, 518.006, 509.752, 500.902, 491.412, 481.236,
22707  470.324, 458.624, 446.079, 432.627, 418.203, 402.736, 386.152,
22708  368.369, 349.302, 328.856, 306.932, 283.425, 258.218, 231.19,
22709  202.208, 171.132, 137.811, 102.081, 63.7692, 51.8803, 49.7052,
22710  47.373, 44.8722, 42.1907, 39.3153, 36.2322, 32.9263, 29.3815,
22711  26.7599, 25.3372, 23.8117, 22.176, 20.422, 18.5413, 17.376,
22712  16.2418, 15.0255, 13.7214, 12.8747, 12.0473, 11.1601, 10.3455,
22713  9.51969, 8.70497, 8.16227, 7.58074, 7.03382, 6.46739, 6.01701,
22714  5.54653, 5.0579, 4.74492, 4.38021, 4.00826, 3.71378, 3.4518,
22715  3.1078, 2.86798, 2.64257, 2.39549, 2.20953, 2.03398, 1.83877,
22716  1.70174, 1.55958, 1.39991, 1.28114, 1.16314, 1.04719, 0.942878,
22717  0.842172, 0.758047, 0.674713, 0.611613, 0.540168, 0.468455, 0.417074,
22718  0.353831, 0.29841, 0.25222, 0.199759, 0.153844, 0.105712, 0.0,
22719  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22720  0.0, 542.105, 535.435, 528.284, 520.615, 512.392, 503.575,
22721  494.12, 483.983, 473.112, 461.457, 448.958, 435.557, 421.187,
22722  405.779, 389.257, 371.541, 352.545, 332.176, 310.335, 286.916,
22723  261.804, 234.878, 206.006, 175.047, 141.851, 106.255, 68.0878,
22724  51.6924, 49.5608, 47.2752, 44.8245, 42.1966, 39.3788, 36.3574,
22725  33.1176, 29.6437, 26.7837, 25.3878, 23.8912, 22.2863, 20.5655,
22726  18.7203, 17.3795, 16.1443, 14.8198, 13.3997, 12.5339, 11.8236,
22727  11.062, 10.3235, 9.57939, 8.7952, 8.16743, 7.49428, 6.98218,
22728  6.46091, 6.00274, 5.5473, 5.13408, 4.77541, 4.41735, 4.04516,
22729  3.67297, 3.46098, 3.15481, 2.91553, 2.7393, 2.46191, 2.27202,
22730  2.02336, 1.88564, 1.70495, 1.5386, 1.41955, 1.30377, 1.17527,
22731  1.04886, 0.945517, 0.864006, 0.785895, 0.680476, 0.615763, 0.536934,
22732  0.474279, 0.416125, 0.358769, 0.310048, 0.259267, 0.210327, 0.161195,
22733  0.111581, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22734  0.0, 0.0, 0.0, 554.787, 547.988, 540.698, 532.88,
22735  524.498, 515.51, 505.872, 495.538, 484.457, 472.576, 459.835,
22736  446.174, 431.526, 415.819, 398.977, 380.918, 361.554, 340.79,
22737  318.526, 294.653, 269.055, 241.607, 212.175, 180.616, 146.776,
22738  110.492, 71.5844, 50.3045, 48.3286, 46.21, 43.9383, 41.5024,
22739  38.8905, 36.0898, 33.0867, 29.8666, 26.9091, 25.446, 23.8772,
22740  22.1951, 20.3914, 18.4573, 17.1489, 16.1778, 15.1365, 14.02,
22741  13.045, 12.1293, 11.1475, 10.3137, 9.63673, 8.91088, 8.36349,
22742  7.79066, 7.21788, 6.61664, 6.08808, 5.58613, 5.23508, 4.8799,
22743  4.49437, 4.07806, 3.78331, 3.46867, 3.19869, 2.93802, 2.73397,
22744  2.46664, 2.25379, 2.07774, 1.88952, 1.72628, 1.59451, 1.42465,
22745  1.28731, 1.18359, 1.07404, 0.971336, 0.860938, 0.790015, 0.694836,
22746  0.621818, 0.55761, 0.483807, 0.421521, 0.378619, 0.315579, 0.262718,
22747  0.217172, 0.168673, 0.121105, 0.0708145, 0.0, 0.0, 0.0,
22748  0.0, 0.0, 0.0, 0.0, 0.0, 544.3, 537.714,
22749  530.651, 523.078, 514.957, 506.25, 496.913, 486.902, 476.167,
22750  464.657, 452.314, 439.08, 424.889, 409.673, 393.357, 375.862,
22751  357.103, 336.988, 315.419, 292.292, 267.493, 240.902, 212.39,
22752  181.817, 149.035, 113.883, 76.1913, 50.9978, 48.9647, 46.7847,
22753  44.4472, 41.9407, 39.2531, 36.3713, 33.2812, 29.9678, 26.6873,
22754  25.3621, 23.9411, 22.4174, 20.7836, 19.0318, 17.6225, 16.5417,
22755  15.3828, 14.1402, 13.0795, 12.1993, 11.2555, 10.3972, 9.72186,
22756  8.99767, 8.37223, 7.73423, 7.15218, 6.58462, 6.12205, 5.67855,
22757  5.25744, 4.84308, 4.45472, 4.13402, 3.78968, 3.43663, 3.14693,
22758  2.96363, 2.69932, 2.52894, 2.27882, 2.12987, 1.93214, 1.74529,
22759  1.57955, 1.45665, 1.30627, 1.18473, 1.08272, 0.983712, 0.874932,
22760  0.787182, 0.713693, 0.632031, 0.55591, 0.491805, 0.428869, 0.373479,
22761  0.329474, 0.279688, 0.217925, 0.173863, 0.127522, 0.0781765, 0.0,
22762  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22763  547.596, 541.041, 534.013, 526.476, 518.395, 509.73, 500.439,
22764  490.476, 479.793, 468.338, 456.056, 442.886, 428.764, 413.621,
22765  397.384, 379.974, 361.305, 341.288, 319.824, 296.808, 272.13,
22766  245.668, 217.293, 186.868, 154.245, 119.263, 81.754, 52.1853,
22767  50.1585, 47.9853, 45.655, 43.1562, 40.4769, 37.604, 34.5234,
22768  31.2203, 27.6784, 26.196, 24.6111, 22.9116, 21.0893, 19.1353,
22769  17.5163, 16.4769, 15.3624, 14.1674, 13.0847, 12.2242, 11.3014,
22770  10.4269, 9.79842, 9.1245, 8.45374, 7.75628, 7.18289, 6.72479,
22771  6.20824, 5.64004, 5.27232, 4.88277, 4.47916, 4.14974, 3.83575,
22772  3.51897, 3.25004, 3.00564, 2.75223, 2.4784, 2.30721, 2.1538,
22773  1.97116, 1.80826, 1.62107, 1.4831, 1.33237, 1.22288, 1.10446,
22774  0.993691, 0.879682, 0.79783, 0.723156, 0.63846, 0.570096, 0.50452,
22775  0.446278, 0.382007, 0.332449, 0.282254, 0.23119, 0.17879, 0.13263,
22776  0.0823554, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22777  0.0, 0.0, 556.694, 550.071, 542.969, 535.355, 527.19,
22778  518.434, 509.047, 498.98, 488.187, 476.613, 464.203, 450.896,
22779  436.627, 421.327, 404.922, 387.331, 368.468, 348.243, 326.556,
22780  303.301, 278.366, 251.629, 222.96, 192.219, 159.257, 123.912,
22781  86.0133, 51.6036, 49.5946, 47.4403, 45.1304, 42.6536, 39.9977,
22782  37.1499, 34.0964, 30.8221, 27.3113, 25.6922, 24.25, 22.7035,
22783  21.0454, 19.2674, 17.6681, 16.6975, 15.6568, 14.5409, 13.4574,
22784  12.5802, 11.6395, 10.6915, 9.99755, 9.25347, 8.58743, 7.96558,
22785  7.35441, 6.77841, 6.27, 5.82439, 5.34604, 4.89771, 4.53233,
22786  4.19028, 3.89235, 3.54418, 3.24205, 2.98474, 2.77226, 2.54095,
22787  2.31966, 2.17117, 1.97081, 1.80752, 1.62842, 1.49947, 1.34298,
22788  1.23187, 1.12591, 1.00877, 0.914082, 0.82369, 0.731495, 0.657943,
22789  0.583714, 0.523517, 0.45299, 0.386371, 0.338942, 0.281286, 0.237325,
22790  0.18879, 0.140182, 0.0904639, 0.0, 0.0, 0.0, 0.0,
22791  0.0, 0.0, 0.0, 0.0, 557.284, 550.724, 543.689,
22792  536.147, 528.059, 519.386, 510.087, 500.116, 489.425, 477.96,
22793  465.667, 452.486, 438.352, 423.197, 406.947, 389.522, 370.838,
22794  350.804, 329.322, 306.287, 281.588, 255.104, 226.706, 196.256,
22795  163.605, 128.595, 91.0542, 52.4705, 50.4596, 48.3035, 45.9915,
22796  43.5124, 40.8542, 38.0039, 34.9476, 31.6704, 28.1564, 26.2065,
22797  24.6804, 23.044, 21.2894, 19.408, 17.5877, 16.5324, 15.4007,
22798  14.1872, 13.0028, 12.2926, 11.5311, 10.7233, 10.0319, 9.29049,
22799  8.60267, 7.98409, 7.39318, 6.92905, 6.45243, 5.97172, 5.44135,
22800  4.9278, 4.55967, 4.22417, 3.88735, 3.60294, 3.31456, 3.02909,
22801  2.84372, 2.58619, 2.3673, 2.16765, 1.99246, 1.80149, 1.66769,
22802  1.50541, 1.37432, 1.22951, 1.13351, 1.02551, 0.915938, 0.829314,
22803  0.733041, 0.655566, 0.577893, 0.523898, 0.453158, 0.400842, 0.339956,
22804  0.290235, 0.244454, 0.194228, 0.142284, 0.0950037, 0.0, 0.0,
22805  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 550.407,
22806  543.985, 537.099, 529.716, 521.799, 513.31, 504.207, 494.446,
22807  483.98, 472.758, 460.725, 447.822, 433.987, 419.152, 403.244,
22808  386.188, 367.898, 348.287, 327.258, 304.71, 280.533, 254.608,
22809  226.809, 197.002, 165.041, 130.77, 94.0219, 54.6184, 49.9296,
22810  47.8696, 45.6606, 43.292, 40.7523, 38.029, 35.1089, 31.9777,
22811  28.6203, 26.4718, 24.9555, 23.3296, 21.5862, 19.7168, 17.7969,
22812  16.857, 15.8492, 14.7686, 13.6309, 12.7269, 11.7576, 10.7182,
22813  9.99722, 9.25197, 8.54926, 7.96607, 7.36662, 6.83554, 6.30559,
22814  5.83061, 5.39479, 4.98525, 4.63556, 4.30241, 3.98082, 3.67215,
22815  3.37744, 3.07638, 2.8096, 2.61121, 2.45239, 2.18055, 1.97945,
22816  1.8287, 1.70873, 1.50623, 1.40932, 1.25129, 1.14704, 1.02989,
22817  0.922593, 0.823059, 0.746832, 0.681385, 0.594522, 0.532383, 0.468724,
22818  0.410173, 0.348552, 0.305803, 0.246516, 0.203713, 0.152823, 0.103177,
22819  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22820  0.0, 541.257, 535.007, 528.306, 521.12, 513.414, 505.152,
22821  496.293, 486.794, 476.608, 465.686, 453.975, 441.417, 427.952,
22822  413.514, 398.032, 381.432, 363.631, 344.545, 324.079, 302.134,
22823  278.604, 253.372, 226.318, 197.308, 166.202, 132.848, 97.083,
22824  58.7338, 49.8491, 47.7948, 45.592, 43.2301, 40.6974, 37.9817,
22825  35.0698, 31.9475, 28.5995, 26.2918, 24.9296, 23.469, 21.9028,
22826  20.2234, 18.4227, 17.2526, 16.0303, 14.7196, 13.3143, 12.5488,
22827  11.7662, 10.927, 10.2516, 9.57706, 8.86086, 8.11407, 7.34712,
22828  6.91899, 6.46615, 6.00761, 5.52719, 5.02915, 4.7141, 4.33544,
22829  3.92143, 3.56766, 3.34471, 3.06397, 2.83544, 2.61384, 2.41795,
22830  2.2257, 2.01782, 1.83005, 1.6574, 1.52631, 1.39235, 1.26754,
22831  1.1668, 1.03727, 0.921486, 0.851991, 0.760433, 0.674707, 0.5949,
22832  0.544841, 0.473222, 0.412822, 0.362394, 0.30406, 0.256077, 0.20946,
22833  0.163543, 0.110952, 0.0, 0.0, 0.0, 0.0, 0.0,
22834  0.0, 0.0, 0.0, 561.724, 555.298, 548.408, 541.02,
22835  533.098, 524.603, 515.495, 505.728, 495.256, 484.027, 471.986,
22836  459.075, 445.232, 430.387, 414.47, 397.403, 379.102, 359.479,
22837  338.437, 315.875, 291.683, 265.742, 237.926, 208.101, 176.12,
22838  141.827, 105.057, 65.6291, 52.0233, 49.7987, 47.4133, 44.8556,
22839  42.113, 39.1722, 36.0189, 32.6377, 29.0121, 26.2448, 24.7959,
22840  23.2423, 21.5764, 19.7902, 17.8748, 16.8155, 15.8622, 14.8401,
22841  13.744, 12.83, 11.901, 10.9049, 10.0955, 9.33546, 8.56775,
22842  8.02958, 7.45252, 6.95748, 6.43982, 5.99228, 5.54073, 5.09819,
22843  4.64384, 4.27133, 3.99235, 3.73592, 3.37987, 3.10925, 2.8704,
22844  2.65374, 2.44896, 2.19982, 2.06776, 1.85349, 1.68481, 1.56158,
22845  1.42244, 1.2694, 1.15865, 1.07191, 0.966216, 0.855666, 0.763502,
22846  0.687787, 0.608183, 0.551857, 0.477541, 0.421437, 0.366499, 0.310012,
22847  0.26585, 0.213909, 0.165715, 0.116896, 0.0, 0.0, 0.0,
22848  0.0, 0.0, 0.0, 0.0, 0.0, 539.693, 533.595,
22849  527.056, 520.044, 512.526, 504.465, 495.821, 486.552, 476.614,
22850  465.957, 454.531, 442.278, 429.14, 415.052, 399.947, 383.75,
22851  366.382, 347.759, 327.791, 306.379, 283.42, 258.802, 232.404,
22852  204.099, 173.749, 141.205, 106.309, 68.8917, 51.7935, 49.6356,
22853  47.3218, 44.8408, 42.1804, 39.3278, 36.2691, 32.9893, 29.4725,
22854  26.5161, 25.115, 23.6127, 22.0017, 20.2744, 18.4222, 17.1773,
22855  16.1132, 14.9722, 13.7487, 12.8367, 12.011, 11.1256, 10.324,
22856  9.56531, 8.76103, 8.15372, 7.50252, 6.95573, 6.3949, 5.98,
22857  5.55967, 5.154, 4.7799, 4.3713, 3.97333, 3.78184, 3.40095,
22858  3.14394, 2.9459, 2.73616, 2.45294, 2.18884, 2.07561, 1.89147,
22859  1.72604, 1.54878, 1.45419, 1.32776, 1.1876, 1.07781, 0.956646,
22860  0.872701, 0.787431, 0.712588, 0.622926, 0.545611, 0.490465, 0.427419,
22861  0.373458, 0.329242, 0.274623, 0.219708, 0.17047, 0.123359, 0.0,
22862  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22863  560.004, 553.695, 546.93, 539.677, 531.899, 523.559, 514.616,
22864  505.027, 494.745, 483.72, 471.898, 459.222, 445.63, 431.055,
22865  415.427, 398.67, 380.702, 361.436, 340.777, 318.625, 294.872,
22866  269.403, 242.093, 212.809, 181.41, 147.741, 111.639, 72.9276,
22867  51.0262, 48.974, 46.7734, 44.4137, 41.8836, 39.1706, 36.2615,
22868  33.1422, 29.7975, 26.7166, 25.3399, 23.8637, 22.2808, 20.5835,
22869  18.7635, 17.4149, 16.3355, 15.1781, 13.9371, 12.9094, 11.9981,
22870  11.0211, 10.201, 9.5637, 8.88035, 8.32019, 7.73364, 7.10264,
22871  6.42533, 5.9404, 5.48767, 5.11999, 4.80228, 4.4722, 4.08026,
22872  3.72655, 3.46926, 3.2026, 2.94267, 2.69233, 2.51726, 2.28297,
22873  2.09331, 1.89909, 1.72893, 1.53906, 1.43726, 1.29054, 1.17531,
22874  1.07338, 0.976397, 0.888858, 0.78343, 0.700133, 0.63331, 0.562609,
22875  0.501407, 0.437045, 0.384607, 0.327033, 0.271362, 0.224339, 0.181747,
22876  0.129425, 0.0791199, 0.0, 0.0, 0.0, 0.0, 0.0,
22877  0.0, 0.0, 559.643, 553.406, 546.719, 539.549, 531.86,
22878  523.616, 514.776, 505.297, 495.133, 484.234, 472.548, 460.017,
22879  446.581, 432.174, 416.726, 400.161, 382.399, 363.354, 342.932,
22880  321.034, 297.554, 272.377, 245.381, 216.433, 185.394, 152.111,
22881  116.424, 78.1571, 52.2078, 50.077, 47.7922, 45.3423, 42.7153,
22882  39.8985, 36.8781, 33.6395, 30.1668, 26.7166, 25.4251, 24.0403,
22883  22.5553, 20.9631, 19.2558, 17.8434, 16.7263, 15.5284, 14.2439,
22884  13.1565, 12.2749, 11.3296, 10.4232, 9.62863, 8.77664, 8.23802,
22885  7.74657, 7.0936, 6.32087, 5.93992, 5.67326, 5.28182, 4.85003,
22886  4.41659, 4.0787, 3.79176, 3.50776, 3.23557, 3.03916, 2.70738,
22887  2.50303, 2.31685, 2.12976, 1.88058, 1.7536, 1.6045, 1.45881,
22888  1.32584, 1.20841, 1.10504, 0.985919, 0.894789, 0.807063, 0.710516,
22889  0.654681, 0.570343, 0.512455, 0.445335, 0.386007, 0.329234, 0.2854,
22890  0.236903, 0.182783, 0.133798, 0.0841895, 0.0, 0.0, 0.0,
22891  0.0, 0.0, 0.0, 0.0, 560.091, 553.906, 547.273,
22892  540.161, 532.535, 524.358, 515.59, 506.189, 496.108, 485.298,
22893  473.707, 461.279, 447.953, 433.663, 418.341, 401.911, 384.295,
22894  365.405, 345.15, 323.431, 300.142, 275.171, 248.395, 219.684,
22895  188.898, 155.887, 120.491, 82.5369, 52.5866, 50.4841, 48.2297,
22896  45.8123, 43.2202, 40.4409, 37.4606, 34.265, 30.8384, 27.1643,
22897  25.7783, 24.2984, 22.7116, 21.0101, 19.1856, 17.6445, 16.6007,
22898  15.4814, 14.2812, 13.1968, 12.3407, 11.4227, 10.5379, 9.85782,
22899  9.12857, 8.49791, 7.88536, 7.2693, 6.64539, 6.1364, 5.68129,
22900  5.22298, 4.80513, 4.45411, 4.19094, 3.87046, 3.53164, 3.19022,
22901  3.01656, 2.72922, 2.51981, 2.29405, 2.14033, 1.94562, 1.76653,
22902  1.60567, 1.48027, 1.36197, 1.22611, 1.09428, 0.99756, 0.890076,
22903  0.795053, 0.723516, 0.649451, 0.575966, 0.52188, 0.447351, 0.401129,
22904  0.342459, 0.291932, 0.241622, 0.188576, 0.140219, 0.0877354, 0.0,
22905  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 553.26,
22906  547.201, 540.704, 533.739, 526.269, 518.26, 509.672, 500.464,
22907  490.589, 480.002, 468.649, 456.476, 443.423, 429.427, 414.419,
22908  398.327, 381.072, 362.57, 342.73, 321.457, 298.647, 274.188,
22909  247.962, 219.84, 189.686, 157.353, 122.684, 85.5086, 52.0434,
22910  49.9719, 47.7507, 45.369, 42.8152, 40.0768, 37.1405, 33.9921,
22911  30.6161, 26.9961, 25.4349, 24.055, 22.5753, 20.9888, 19.2875,
22912  17.7476, 16.76, 15.701, 14.5655, 13.4571, 12.5332, 11.5425,
22913  10.554, 9.86507, 9.12632, 8.47613, 7.87523, 7.27919, 6.70683,
22914  6.20107, 5.75412, 5.31283, 4.93025, 4.66309, 4.28179, 3.83548,
22915  3.49948, 3.27221, 3.00638, 2.78846, 2.56648, 2.35412, 2.12153,
22916  1.97865, 1.81905, 1.63093, 1.51333, 1.35008, 1.23788, 1.10154,
22917  1.00909, 0.930281, 0.815751, 0.751627, 0.663202, 0.599961, 0.513683,
22918  0.457481, 0.400787, 0.342695, 0.297033, 0.250205, 0.196047, 0.149251,
22919  0.0957552, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22920  0.0, 559.266, 553.186, 546.667, 539.677, 532.182, 524.145,
22921  515.528, 506.287, 496.379, 485.755, 474.363, 462.148, 449.05,
22922  435.005, 419.946, 403.798, 386.483, 367.917, 348.01, 326.663,
22923  303.774, 279.231, 252.914, 224.696, 194.438, 161.993, 127.204,
22924  89.9002, 52.1839, 50.1581, 47.986, 45.6568, 43.1594, 40.4815,
22925  37.61, 34.531, 31.2295, 27.6894, 25.8444, 24.4187, 22.89,
22926  21.2509, 19.4933, 17.7838, 16.6699, 15.4754, 14.1947, 12.9499,
22927  12.1704, 11.3345, 10.4606, 9.85866, 9.21316, 8.58169, 7.9678,
22928  7.34666, 6.76137, 6.23305, 5.80073, 5.35147, 4.91693, 4.56988,
22929  4.20795, 3.88338, 3.55136, 3.30916, 3.07608, 2.84875, 2.57927,
22930  2.38625, 2.14237, 1.99772, 1.80021, 1.65875, 1.47476, 1.35944,
22931  1.2533, 1.12593, 1.03608, 0.916423, 0.837462, 0.741046, 0.66998,
22932  0.597743, 0.52489, 0.460425, 0.413122, 0.361792, 0.305681, 0.250856,
22933  0.202311, 0.151697, 0.100814, 0.0, 0.0, 0.0, 0.0,
22934  0.0, 0.0, 0.0, 550.621, 544.675, 538.3, 531.464,
22935  524.134, 516.274, 507.846, 498.81, 489.12, 478.73, 467.589,
22936  455.643, 442.833, 429.098, 414.371, 398.579, 381.645, 363.489,
22937  344.019, 323.143, 300.759, 276.756, 251.019, 223.422, 193.831,
22938  162.101, 128.078, 91.5967, 52.4787, 48.7777, 46.765, 44.6067,
22939  42.2925, 39.8111, 37.1503, 34.2973, 31.2381, 27.9578, 25.9423,
22940  24.5127, 22.9798, 21.336, 19.5735, 17.7748, 16.7318, 15.6135,
22941  14.4143, 13.1758, 12.3543, 11.4734, 10.5288, 9.90083, 9.24411,
22942  8.61075, 8.04471, 7.45253, 6.87259, 6.29744, 5.77947, 5.39278,
22943  5.0653, 4.69985, 4.29648, 3.97642, 3.64383, 3.29105, 3.08634,
22944  2.83226, 2.5553, 2.41396, 2.21038, 2.02227, 1.84204, 1.65631,
22945  1.54727, 1.3757, 1.26963, 1.16301, 1.04197, 0.937685, 0.825102,
22946  0.767282, 0.679555, 0.614474, 0.532793, 0.478221, 0.419864, 0.372166,
22947  0.308462, 0.252057, 0.207545, 0.158324, 0.111713, 0.0, 0.0,
22948  0.0, 0.0, 0.0, 0.0, 0.0, 553.033, 547.131,
22949  540.803, 534.018, 526.743, 518.941, 510.576, 501.606, 491.988,
22950  481.675, 470.617, 458.76, 446.045, 432.412, 417.794, 402.119,
22951  385.311, 367.289, 347.964, 327.243, 305.024, 281.2, 255.654,
22952  228.262, 198.89, 167.396, 133.625, 97.4144, 58.5866, 50.8004,
22953  48.6976, 46.4427, 44.025, 41.4325, 38.6526, 35.6719, 32.4757,
22954  29.0486, 26.7206, 25.2516, 23.6764, 21.9874, 20.1764, 18.2344,
22955  17.1689, 16.0347, 14.8185, 13.5145, 12.6286, 11.6871, 10.6776,
22956  10.0537, 9.46476, 8.83246, 8.15242, 7.44748, 6.88817, 6.34617,
22957  5.97148, 5.53599, 5.05301, 4.72255, 4.35122, 4.01972, 3.73339,
22958  3.41705, 3.13049, 2.82316, 2.58028, 2.3865, 2.20738, 2.02767,
22959  1.86046, 1.68481, 1.54001, 1.39386, 1.2814, 1.13714, 1.0529,
22960  0.936238, 0.831338, 0.776232, 0.69561, 0.617754, 0.544641, 0.480151,
22961  0.42526, 0.369706, 0.313995, 0.265056, 0.215249, 0.166718, 0.112394,
22962  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
22963  557.397, 551.477, 545.13, 538.324, 531.027, 523.202, 514.811,
22964  505.814, 496.167, 485.823, 474.731, 462.837, 450.084, 436.41,
22965  421.747, 406.025, 389.166, 371.089, 351.706, 330.922, 308.635,
22966  284.739, 259.115, 231.64, 202.179, 170.589, 136.716, 100.395,
22967  61.4494, 49.6746, 47.6588, 45.4974, 43.1797, 40.6946, 38.0299,
22968  35.1726, 32.1088, 28.8236, 26.3871, 25.0303, 23.5755, 22.0155,
22969  20.3428, 18.5492, 17.3341, 16.1229, 14.8242, 13.4317, 12.6019,
22970  11.805, 10.9506, 10.1834, 9.41162, 8.63258, 8.0176, 7.36019,
22971  6.8661, 6.352, 5.91875, 5.49745, 5.09989, 4.72074, 4.41072,
22972  4.11499, 3.7452, 3.34917, 3.0353, 2.84891, 2.66485, 2.39753,
22973  2.22543, 2.0657, 1.89428, 1.68371, 1.57458, 1.41334, 1.28488,
22974  1.16543, 1.05235, 0.945586, 0.867086, 0.782897, 0.688893, 0.622313,
22975  0.549758, 0.481737, 0.428518, 0.370792, 0.320901, 0.269574, 0.217132,
22976  0.170506, 0.123544, 0.0, 0.0, 0.0, 0.0, 0.0,
22977  0.0, 0.0, 555.522, 549.687, 543.43, 536.72, 529.526,
22978  521.812, 513.541, 504.671, 495.161, 484.964, 474.029, 462.304,
22979  449.732, 436.252, 421.797, 406.298, 389.678, 371.858, 352.75,
22980  332.26, 310.291, 286.733, 261.473, 234.387, 205.344, 174.203,
22981  140.81, 105.005, 66.6119, 50.9549, 48.8532, 46.5997, 44.1832,
22982  41.5922, 38.8139, 35.8349, 32.6405, 29.2154, 26.4394, 25.0455,
22983  23.5509, 21.9484, 20.2299, 18.3874, 17.1948, 16.1367, 15.0021,
22984  13.7855, 12.8702, 12.0037, 11.0745, 10.2769, 9.53282, 8.76273,
22985  8.25473, 7.71001, 7.11616, 6.48161, 5.97963, 5.4857, 5.04139,
22986  4.75279, 4.38285, 3.93855, 3.62083, 3.43315, 3.23868, 2.85082,
22987  2.64714, 2.43336, 2.21257, 2.08027, 1.83679, 1.732, 1.571,
22988  1.42402, 1.28483, 1.17776, 1.06333, 0.986305, 0.859354, 0.792544,
22989  0.698697, 0.630676, 0.572119, 0.501432, 0.426681, 0.378481, 0.323559,
22990  0.277537, 0.225922, 0.17598, 0.128176, 0.0, 0.0, 0.0,
22991  0.0, 0.0, 0.0, 0.0, 578.258, 572.212, 565.729,
22992  558.778, 551.324, 543.332, 534.762, 525.572, 515.719, 505.154,
22993  493.825, 481.677, 468.652, 454.685, 439.709, 423.651, 406.432,
22994  387.968, 368.171, 346.943, 324.18, 299.773, 273.602, 245.539,
22995  215.448, 183.183, 148.587, 111.49, 71.7117, 51.4107, 49.2929,
22996  47.022, 44.587, 41.976, 39.1764, 36.1744, 32.9555, 29.504,
22997  26.4623, 25.0664, 23.5696, 21.9647, 20.2438, 18.3985, 17.1169,
22998  16.0757, 14.9593, 13.7623, 12.7549, 11.8117, 10.8002, 10.0161,
22999  9.43196, 8.80565, 8.28087, 7.72106, 7.16291, 6.57496, 6.10697,
23000  5.61907, 5.09159, 4.72208, 4.38021, 4.01799, 3.75247, 3.54476,
23001  3.19023, 2.94901, 2.76231, 2.47613, 2.26978, 2.06931, 1.91228,
23002  1.74622, 1.56035, 1.42537, 1.31211, 1.1833, 1.06957, 0.986449,
23003  0.890476, 0.801757, 0.717592, 0.642012, 0.568296, 0.502162, 0.452653,
23004  0.38686, 0.335622, 0.278332, 0.232785, 0.181739, 0.135014, 0.0,
23005  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 575.708,
23006  569.717, 563.294, 556.407, 549.022, 541.103, 532.612, 523.507,
23007  513.745, 503.277, 492.052, 480.016, 467.111, 453.272, 438.434,
23008  422.523, 405.463, 387.17, 367.554, 346.521, 323.968, 299.786,
23009  273.855, 246.051, 216.237, 184.269, 149.991, 113.235, 73.8233,
23010  49.7015, 47.7682, 45.6952, 43.4724, 41.0889, 38.5332, 35.7929,
23011  32.8544, 29.7037, 26.6908, 25.351, 23.9144, 22.374, 20.7222,
23012  18.9511, 17.5577, 16.4379, 15.2372, 13.9497, 12.9409, 12.1436,
23013  11.2886, 10.4844, 9.76651, 8.99676, 8.34453, 7.66958, 7.1156,
23014  6.59539, 6.16954, 5.73711, 5.23313, 4.80215, 4.43618, 4.13056,
23015  3.80226, 3.37864, 3.16687, 2.93694, 2.71905, 2.47263, 2.25831,
23016  2.11505, 1.89773, 1.75753, 1.62526, 1.48436, 1.32976, 1.2297,
23017  1.10019, 1.0126, 0.896608, 0.795959, 0.724795, 0.645644, 0.571023,
23018  0.514099, 0.45276, 0.391066, 0.336498, 0.293389, 0.238467, 0.192611,
23019  0.138144, 0.0858543, 0.0, 0.0, 0.0, 0.0, 0.0,
23020  0.0, 557.874, 552.154, 546.021, 539.444, 532.392, 524.831,
23021  516.723, 508.029, 498.707, 488.711, 477.993, 466.501, 454.177,
23022  440.964, 426.795, 411.602, 395.312, 377.844, 359.113, 339.03,
23023  317.494, 294.403, 269.643, 243.093, 214.625, 184.099, 151.367,
23024  116.27, 78.6368, 51.6264, 49.5588, 47.3418, 44.9646, 42.4156,
23025  39.6824, 36.7517, 33.6091, 30.2395, 26.7879, 25.4343, 23.983,
23026  22.4267, 20.758, 18.9687, 17.4967, 16.4136, 15.2523, 14.007,
23027  12.9634, 12.1783, 11.3365, 10.4869, 9.67992, 8.81459, 8.14775,
23028  7.50901, 6.99077, 6.54826, 6.0828, 5.59823, 5.30702, 4.92306,
23029  4.4741, 4.08819, 3.80448, 3.54469, 3.29176, 3.0063, 2.76929,
23030  2.51465, 2.28888, 2.1103, 1.94742, 1.77265, 1.62, 1.45219,
23031  1.33663, 1.21088, 1.10857, 1.00612, 0.893104, 0.823416, 0.721556,
23032  0.645935, 0.583962, 0.527326, 0.4517, 0.404381, 0.343582, 0.289406,
23033  0.241913, 0.194777, 0.143736, 0.0895509, 0.0, 0.0, 0.0,
23034  0.0, 0.0, 0.0, 547.406, 541.837, 535.866, 529.463,
23035  522.598, 515.237, 507.344, 498.88, 489.804, 480.073, 469.638,
23036  458.45, 446.453, 433.588, 419.795, 405.004, 389.144, 372.139,
23037  353.904, 334.351, 313.386, 290.905, 266.8, 240.953, 213.238,
23038  183.52, 151.654, 117.486, 80.8483, 50.7819, 48.8141, 46.7042,
23039  44.4418, 42.0158, 39.4146, 36.6254, 33.6346, 30.4277, 26.989,
23040  25.5198, 24.0231, 22.4181, 20.6972, 18.8519, 17.2728, 16.2454,
23041  15.1437, 13.9625, 12.8993, 12.1101, 11.2639, 10.4404, 9.82316,
23042  9.16126, 8.52824, 7.88679, 7.25202, 6.62536, 6.08204, 5.58264,
23043  5.23636, 4.84664, 4.41932, 4.2174, 3.81702, 3.51779, 3.27956,
23044  2.95334, 2.72884, 2.49969, 2.33736, 2.16206, 1.97233, 1.76981,
23045  1.62835, 1.4799, 1.36046, 1.21941, 1.11431, 1.00727, 0.928223,
23046  0.834858, 0.720603, 0.67112, 0.600651, 0.53256, 0.462455, 0.411644,
23047  0.359085, 0.293612, 0.252078, 0.200238, 0.151157, 0.100432, 0.0,
23048  0.0, 0.0, 0.0, 0.0, 0.0, 556.97, 551.339,
23049  545.301, 538.827, 531.885, 524.441, 516.459, 507.901, 498.724,
23050  488.883, 478.332, 467.018, 454.887, 441.878, 427.93, 412.974,
23051  396.937, 379.741, 361.302, 341.531, 320.331, 297.598, 273.223,
23052  247.087, 219.062, 189.011, 156.789, 122.238, 85.1899, 50.9655,
23053  49.004, 46.9008, 44.6456, 42.2275, 39.6345, 36.8542, 33.873,
23054  30.6763, 27.2487, 25.6274, 24.2125, 22.6953, 21.0685, 19.3241,
23055  17.7239, 16.7126, 15.6282, 14.4654, 13.3279, 12.4046, 11.4145,
23056  10.4253, 9.79666, 9.12258, 8.49852, 7.90297, 7.2868, 6.66017,
23057  6.14629, 5.74835, 5.32392, 4.91624, 4.56799, 4.17824, 3.90312,
23058  3.57563, 3.26786, 3.03114, 2.77034, 2.59383, 2.33545, 2.13271,
23059  1.95795, 1.82526, 1.64156, 1.48813, 1.38218, 1.23872, 1.10317,
23060  1.03044, 0.923936, 0.858044, 0.755354, 0.671771, 0.595127, 0.532441,
23061  0.479785, 0.416238, 0.358759, 0.310035, 0.255676, 0.207639, 0.151368,
23062  0.103716, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
23063  564.841, 559.174, 553.098, 546.583, 539.597, 532.105, 524.073,
23064  515.46, 506.225, 496.322, 485.703, 474.317, 462.109, 449.018,
23065  434.981, 419.929, 403.79, 386.485, 367.929, 348.032, 326.697,
23066  303.82, 279.29, 252.987, 224.783, 194.542, 162.114, 127.344,
23067  90.0602, 51.7647, 49.7293, 47.5469, 45.2068, 42.6976, 40.007,
23068  37.122, 34.0285, 30.7114, 27.1546, 25.306, 23.932, 22.4587,
23069  20.8789, 19.185, 17.5459, 16.5907, 15.5664, 14.4682, 13.3478,
23070  12.4196, 11.4244, 10.3811, 9.73454, 9.04126, 8.42958, 7.91954,
23071  7.37014, 6.77517, 6.2152, 5.72697, 5.35808, 5.00008, 4.56853,
23072  4.17659, 3.85212, 3.56502, 3.31479, 3.0778, 2.79934, 2.60711,
23073  2.40475, 2.17479, 1.99723, 1.7944, 1.64307, 1.54133, 1.39939,
23074  1.26311, 1.13908, 1.03399, 0.917408, 0.862426, 0.768263, 0.684406,
23075  0.598805, 0.537031, 0.484512, 0.434549, 0.368196, 0.312169, 0.262168,
23076  0.211455, 0.163683, 0.108975, 0.0, 0.0, 0.0, 0.0,
23077  0.0, 0.0, 570.332, 564.642, 558.54, 551.997, 544.981,
23078  537.459, 529.392, 520.743, 511.469, 501.524, 490.861, 479.427,
23079  467.167, 454.021, 439.925, 424.81, 408.603, 391.225, 372.591,
23080  352.61, 331.185, 308.212, 283.579, 257.165, 228.843, 198.474,
23081  165.91, 130.993, 93.5525, 53.4064, 49.313, 47.2583, 45.0551,
23082  42.6927, 40.1596, 37.4434, 34.5309, 31.408, 28.0594, 26.0059,
23083  24.5796, 23.0502, 21.4103, 19.6519, 17.8475, 16.776, 15.6271,
23084  14.3952, 13.1267, 12.385, 11.5896, 10.7368, 10.0392, 9.30243,
23085  8.61119, 8.03288, 7.44319, 6.92954, 6.41058, 5.92376, 5.50575,
23086  5.10401, 4.61331, 4.23143, 3.90996, 3.61169, 3.34403, 3.11849,
23087  2.84954, 2.63149, 2.46213, 2.22546, 2.02607, 1.84087, 1.69444,
23088  1.52648, 1.43413, 1.2972, 1.15055, 1.04377, 0.945055, 0.86022,
23089  0.770208, 0.683169, 0.626669, 0.546831, 0.472912, 0.433194, 0.376623,
23090  0.323547, 0.265945, 0.218211, 0.167784, 0.115671, 0.0, 0.0,
23091  0.0, 0.0, 0.0, 0.0, 577.431, 571.727, 565.611,
23092  559.054, 552.022, 544.482, 536.398, 527.729, 518.433, 508.466,
23093  497.779, 486.319, 474.031, 460.855, 446.727, 431.577, 415.333,
23094  397.916, 379.239, 359.213, 337.739, 314.713, 290.024, 263.55,
23095  235.164, 204.725, 172.087, 137.091, 99.565, 59.3274, 51.2415,
23096  49.0512, 46.7026, 44.1843, 41.484, 38.5885, 35.4838, 32.1547,
23097  28.5851, 26.228, 24.8231, 23.3167, 21.7014, 19.9694, 18.1122,
23098  17.1243, 16.0734, 14.9466, 13.7383, 12.8788, 11.9645, 10.9842,
23099  10.1815, 9.3643, 8.58541, 7.99835, 7.38568, 6.86539, 6.34796,
23100  5.93801, 5.48772, 5.00437, 4.61853, 4.22287, 3.88416, 3.64006,
23101  3.39677, 3.07926, 2.85228, 2.63807, 2.37443, 2.23057, 2.01145,
23102  1.87296, 1.67075, 1.55171, 1.39372, 1.30451, 1.14626, 1.08012,
23103  0.947186, 0.860413, 0.793593, 0.685296, 0.622295, 0.549901, 0.501202,
23104  0.428992, 0.377583, 0.326698, 0.270799, 0.223091, 0.171004, 0.120475,
23105  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 554.309,
23106  548.883, 543.065, 536.826, 530.137, 522.964, 515.273, 507.026,
23107  498.182, 488.7, 478.533, 467.631, 455.94, 443.406, 429.965,
23108  415.553, 400.099, 383.529, 365.761, 346.709, 326.28, 304.375,
23109  280.887, 255.701, 228.696, 199.738, 168.688, 135.395, 99.6948,
23110  61.415, 50.0672, 48.0156, 45.8158, 43.457, 40.9277, 38.2156,
23111  35.3076, 32.1893, 28.8458, 26.3958, 25.0442, 23.5949, 22.0409,
23112  20.3746, 18.5879, 17.4319, 16.2837, 15.0526, 13.7325, 12.8155,
23113  11.8974, 10.9129, 10.2018, 9.55238, 8.88646, 8.3044, 7.67813,
23114  6.87801, 6.09866, 5.81633, 5.44559, 4.96528, 4.59794, 4.34234,
23115  4.10064, 3.74604, 3.37379, 3.07291, 2.90141, 2.67456, 2.45793,
23116  2.23468, 2.04274, 1.89014, 1.71562, 1.55714, 1.43602, 1.30369,
23117  1.17452, 1.05763, 0.948478, 0.894807, 0.78363, 0.71133, 0.62983,
23118  0.562022, 0.491628, 0.442869, 0.381358, 0.329218, 0.284466, 0.231574,
23119  0.172903, 0.124242, 0.0, 0.0, 0.0, 0.0, 0.0,
23120  0.0, 556.238, 550.834, 545.039, 538.825, 532.162, 525.018,
23121  517.357, 509.143, 500.335, 490.891, 480.764, 469.905, 458.262,
23122  445.777, 432.39, 418.035, 402.643, 386.139, 368.442, 349.466,
23123  329.118, 307.301, 283.906, 258.821, 231.923, 203.082, 172.155,
23124  138.994, 103.437, 65.3099, 50.3731, 48.3798, 46.2425, 43.9508,
23125  41.4934, 38.8585, 36.0331, 33.0035, 29.755, 27.0696, 25.5143,
23126  23.8467, 22.0586, 20.1412, 18.0853, 16.8978, 15.887, 14.8031,
23127  13.641, 12.7457, 11.8809, 10.9535, 10.1248, 9.32306, 8.49904,
23128  7.95768, 7.37721, 6.94524, 6.49595, 5.92613, 5.41447, 5.04536,
23129  4.70905, 4.40091, 4.06934, 3.63491, 3.39722, 3.20185, 2.94011,
23130  2.67513, 2.43881, 2.2775, 2.06924, 1.88438, 1.69097, 1.57365,
23131  1.44403, 1.30336, 1.18891, 1.07026, 0.968335, 0.884066, 0.793056,
23132  0.717852, 0.625965, 0.565554, 0.506194, 0.444027, 0.389121, 0.331449,
23133  0.281354, 0.233421, 0.180719, 0.130798, 0.0, 0.0, 0.0,
23134  0.0, 0.0, 0.0, 556.13, 550.786, 545.056, 538.912,
23135  532.324, 525.26, 517.686, 509.564, 500.855, 491.516, 481.503,
23136  470.766, 459.253, 446.909, 433.672, 419.478, 404.259, 387.94,
23137  370.442, 351.679, 331.56, 309.987, 286.856, 262.052, 235.456,
23138  206.938, 176.359, 143.571, 108.412, 70.7134, 52.1886, 49.9751,
23139  47.6016, 45.0565, 42.3276, 39.4014, 36.2638, 32.8994, 29.2919,
23140  26.2168, 24.9354, 23.5614, 22.0881, 20.5084, 18.8145, 17.5554,
23141  16.4459, 15.2562, 13.9806, 12.9751, 12.0596, 11.0779, 10.2312,
23142  9.4848, 8.68518, 8.10131, 7.47525, 7.03396, 6.61067, 6.08853,
23143  5.58205, 5.20184, 4.86957, 4.5028, 4.0796, 3.70987, 3.45087,
23144  3.21175, 2.89327, 2.70352, 2.49113, 2.28428, 2.0491, 1.88408,
23145  1.7242, 1.54132, 1.4652, 1.32252, 1.19824, 1.07382, 0.989141,
23146  0.908955, 0.810432, 0.732316, 0.65436, 0.57655, 0.512264, 0.44777,
23147  0.394899, 0.343633, 0.299512, 0.23675, 0.188748, 0.136777, 0.0,
23148  0.0, 0.0, 0.0, 0.0, 0.0, 573.751, 568.243,
23149  562.338, 556.006, 549.217, 541.937, 534.13, 525.76, 516.784,
23150  507.16, 496.841, 485.776, 473.911, 461.189, 447.547, 432.919,
23151  417.234, 400.416, 382.383, 363.046, 342.312, 320.079, 296.24,
23152  270.677, 243.268, 213.878, 182.364, 148.572, 112.338, 73.4861,
23153  50.7938, 48.7688, 46.5976, 44.2693, 41.7729, 39.096, 36.2257,
23154  33.1479, 29.8478, 26.7565, 25.3498, 23.8414, 22.224, 20.4897,
23155  18.6301, 17.2757, 16.2439, 15.1375, 13.9512, 12.9635, 12.0977,
23156  11.1693, 10.3284, 9.60335, 8.82594, 8.26891, 7.7004, 7.13529,
23157  6.54616, 6.06003, 5.58724, 5.18061, 4.85304, 4.50155, 4.03485,
23158  3.76311, 3.54097, 3.25563, 3.02729, 2.74372, 2.48936, 2.27442,
23159  2.06569, 1.88221, 1.71521, 1.62968, 1.43658, 1.34424, 1.21547,
23160  1.10436, 0.991039, 0.895608, 0.814708, 0.742579, 0.654525, 0.596985,
23161  0.523726, 0.462344, 0.401876, 0.355414, 0.304592, 0.23861, 0.190839,
23162  0.148162, 0.0868352, 0.0, 0.0, 0.0, 0.0, 0.0,
23163  554.291, 549.027, 543.382, 537.33, 530.84, 523.881, 516.419,
23164  508.418, 499.839, 490.64, 480.776, 470.199, 458.858, 446.697,
23165  433.658, 419.676, 404.683, 388.608, 371.37, 352.887, 333.068,
23166  311.816, 289.029, 264.595, 238.396, 210.303, 180.18, 147.88,
23167  113.245, 76.108, 50.82, 48.8104, 46.6555, 44.3449, 41.8673,
23168  39.2106, 36.362, 33.3075, 30.0322, 26.7546, 25.3784, 23.9028,
23169  22.3205, 20.6238, 18.8046, 17.3762, 16.3476, 15.2446, 14.0619,
23170  13.047, 12.2103, 11.3132, 10.449, 9.6864, 8.86868, 8.29875,
23171  7.75965, 7.18716, 6.57655, 6.11643, 5.69438, 5.29241, 4.89746,
23172  4.49709, 4.05734, 3.86473, 3.50417, 3.26683, 3.03154, 2.73864,
23173  2.48909, 2.3268, 2.12286, 1.94391, 1.76162, 1.67318, 1.47517,
23174  1.36376, 1.18057, 1.11575, 1.01195, 0.927386, 0.834656, 0.739847,
23175  0.663671, 0.598846, 0.541942, 0.466521, 0.40922, 0.358075, 0.301098,
23176  0.253775, 0.19584, 0.15014, 0.0922942, 0.0, 0.0, 0.0,
23177  0.0, 0.0, 569.034, 563.657, 557.891, 551.709, 545.079,
23178  537.971, 530.349, 522.176, 513.413, 504.016, 493.94, 483.136,
23179  471.551, 459.129, 445.81, 431.527, 416.213, 399.792, 382.184,
23180  363.303, 343.059, 321.351, 298.074, 273.116, 246.353, 217.657,
23181  186.886, 153.893, 118.514, 80.5792, 51.1207, 49.1133, 46.9609,
23182  44.653, 42.1782, 39.5246, 36.6793, 33.6283, 30.3569, 26.8699,
23183  25.4701, 23.9693, 22.36, 20.6343, 18.784, 17.2628, 16.279,
23184  15.224, 14.0928, 13.076, 12.2691, 11.4038, 10.5483, 9.81521,
23185  9.0291, 8.35053, 7.6883, 7.1287, 6.65797, 6.25195, 5.86978,
23186  5.30275, 4.82258, 4.46443, 4.20412, 3.86495, 3.52779, 3.24493,
23187  2.98374, 2.76407, 2.51097, 2.31014, 2.07398, 1.98324, 1.75316,
23188  1.61501, 1.48651, 1.32643, 1.22023, 1.11838, 1.01049, 0.913663,
23189  0.837313, 0.750584, 0.667192, 0.588871, 0.520544, 0.480732, 0.411209,
23190  0.366078, 0.305501, 0.248251, 0.205267, 0.153717, 0.0991629, 0.0,
23191  0.0, 0.0, 0.0, 0.0, 552.421, 547.258, 541.723,
23192  535.787, 529.423, 522.598, 515.28, 507.434, 499.02, 489.999,
23193  480.325, 469.952, 458.83, 446.904, 434.116, 420.404, 405.701,
23194  389.936, 373.031, 354.905, 335.468, 314.627, 292.28, 268.318,
23195  242.624, 215.073, 185.532, 153.855, 119.89, 83.4693, 51.6793,
23196  49.6917, 47.5605, 45.2752, 42.8248, 40.1973, 37.3799, 34.359,
23197  31.1197, 27.6463, 26.0046, 24.4395, 22.7613, 20.9618, 19.0322,
23198  17.3804, 16.4732, 15.5006, 14.4576, 13.4283, 12.5156, 11.5369,
23199  10.5558, 9.79261, 8.97422, 8.33484, 7.79393, 7.2592, 6.74215,
23200  6.25035, 5.77282, 5.30658, 4.84127, 4.39837, 4.14605, 3.77425,
23201  3.47958, 3.21392, 2.95046, 2.76045, 2.50639, 2.33188, 2.10907,
23202  1.9691, 1.80058, 1.64244, 1.50526, 1.35328, 1.24878, 1.11336,
23203  1.03124, 0.936295, 0.843724, 0.757758, 0.697277, 0.617597, 0.547421,
23204  0.476528, 0.422049, 0.365995, 0.313442, 0.267932, 0.217245, 0.162165,
23205  0.104349, 0.0, 0.0, 0.0, 0.0, 0.0, 535.718,
23206  530.78, 525.486, 519.809, 513.722, 507.195, 500.196, 492.692,
23207  484.645, 476.016, 466.765, 456.844, 446.207, 434.8, 422.57,
23208  409.456, 395.394, 380.315, 364.147, 346.811, 328.222, 308.289,
23209  286.916, 263.998, 239.425, 213.075, 184.821, 154.525, 122.04,
23210  87.2071, 53.4419, 51.3047, 49.0131, 46.5558, 43.921, 41.0957,
23211  38.0663, 34.818, 31.3349, 27.6001, 25.8299, 24.4211, 22.9105,
23212  21.2907, 19.5539, 17.9104, 16.8591, 15.7319, 14.5232, 13.3497,
23213  12.5074, 11.6043, 10.668, 9.9462, 9.17225, 8.51061, 7.9503,
23214  7.36885, 6.78059, 6.26571, 5.84675, 5.43183, 4.997, 4.53419,
23215  4.25543, 3.94443, 3.61018, 3.26818, 3.04, 2.86037, 2.55592,
23216  2.3705, 2.16578, 2.01151, 1.89083, 1.65847, 1.54136, 1.39972,
23217  1.26503, 1.11653, 1.02574, 0.954814, 0.851459, 0.762165, 0.696056,
23218  0.62158, 0.550777, 0.484844, 0.426677, 0.378766, 0.320932, 0.27106,
23219  0.218448, 0.169954, 0.111252, 0.0, 0.0, 0.0, 0.0,
23220  0.0, 578.822, 573.471, 567.733, 561.58, 554.983, 547.909,
23221  540.323, 532.19, 523.468, 514.117, 504.09, 493.338, 481.809,
23222  469.446, 456.191, 441.977, 426.737, 410.394, 392.871, 374.082,
23223  353.935, 332.331, 309.167, 284.328, 257.695, 229.137, 198.515,
23224  165.68, 130.472, 92.7193, 52.5313, 50.4758, 48.2717, 45.9083,
23225  43.3742, 40.6569, 37.7432, 34.619, 31.269, 27.6769, 25.7501,
23226  24.4044, 22.9614, 21.4141, 19.7551, 18.0949, 17.0072, 15.841,
23227  14.5905, 13.3218, 12.4094, 11.4312, 10.3891, 9.76633, 9.09857,
23228  8.52194, 8.08162, 7.58517, 6.9854, 6.3992, 5.86554, 5.37862,
23229  4.9399, 4.64588, 4.32359, 3.97497, 3.62799, 3.34009, 3.1171,
23230  2.86446, 2.61889, 2.37454, 2.18981, 2.01756, 1.8416, 1.67246,
23231  1.5445, 1.39816, 1.25333, 1.15715, 1.03301, 0.942646, 0.857454,
23232  0.781083, 0.69778, 0.621056, 0.563914, 0.492236, 0.441791, 0.378501,
23233  0.326778, 0.272898, 0.222223, 0.16777, 0.113458, 0.0, 0.0,
23234  0.0, 0.0, 0.0, 569.422, 564.2, 558.6, 552.595,
23235  546.157, 539.253, 531.85, 523.912, 515.401, 506.275, 496.489,
23236  485.995, 474.744, 462.679, 449.743, 435.871, 420.997, 405.049,
23237  387.947, 369.61, 349.948, 328.864, 306.257, 282.017, 256.024,
23238  228.153, 198.268, 166.223, 131.863, 95.0192, 55.5129, 50.3657,
23239  48.3346, 46.1568, 43.8215, 41.3176, 38.6326, 35.7536, 32.6666,
23240  29.3565, 27.1555, 25.567, 23.8637, 22.0374, 20.079, 18.045,
23241  16.9249, 15.7238, 14.4359, 13.096, 12.4271, 11.7099, 10.9408,
23242  10.1362, 9.2752, 8.50127, 7.94938, 7.37757, 6.85771, 6.33673,
23243  5.86928, 5.44738, 5.0479, 4.64362, 4.41291, 4.04897, 3.61516,
23244  3.37443, 3.15234, 2.89614, 2.66993, 2.36753, 2.21004, 2.02491,
23245  1.88576, 1.6615, 1.53801, 1.41757, 1.30784, 1.16943, 1.06616,
23246  0.957748, 0.866083, 0.791327, 0.696784, 0.63257, 0.563091, 0.505179,
23247  0.444244, 0.396262, 0.330313, 0.287098, 0.229485, 0.173842, 0.122809,
23248  0.0, 0.0, 0.0, 0.0, 0.0, 569.636, 564.434,
23249  558.855, 552.874, 546.461, 539.584, 532.209, 524.303, 515.824,
23250  506.733, 496.985, 486.533, 475.325, 463.307, 450.42, 436.603,
23251  421.787, 405.9, 388.865, 370.599, 351.013, 330.011, 307.492,
23252  283.345, 257.453, 229.691, 199.922, 168.001, 133.774, 97.073,
23253  57.72, 49.0494, 47.001, 44.8045, 42.4493, 39.9239, 37.2159,
23254  34.3123, 31.1988, 27.8604, 25.6024, 24.2812, 22.8646, 21.3456,
23255  19.7168, 17.9703, 16.8967, 15.7704, 14.5628, 13.2679, 12.4613,
23256  11.6197, 10.7173, 10.0321, 9.3555, 8.67787, 8.08686, 7.46658,
23257  6.93919, 6.39623, 5.90563, 5.44003, 4.99904, 4.61934, 4.29208,
23258  3.97325, 3.63256, 3.35111, 3.17584, 2.87069, 2.64146, 2.39012,
23259  2.1891, 2.07883, 1.85945, 1.69102, 1.56351, 1.39704, 1.29426,
23260  1.14981, 1.08523, 0.982649, 0.885307, 0.795741, 0.682538, 0.64025,
23261  0.599823, 0.499847, 0.449374, 0.389277, 0.340686, 0.281763, 0.234864,
23262  0.183225, 0.12618, 0.0, 0.0, 0.0, 0.0, 0.0,
23263  583.707, 578.419, 572.748, 566.667, 560.147, 553.156, 545.659,
23264  537.621, 529.002, 519.76, 509.85, 499.223, 487.829, 475.612,
23265  462.511, 448.464, 433.402, 417.251, 399.933, 381.363, 361.452,
23266  340.102, 317.208, 292.66, 266.338, 238.114, 207.851, 175.4,
23267  140.604, 103.293, 63.2866, 50.8496, 48.706, 46.4076, 43.943,
23268  41.3003, 38.4667, 35.4283, 32.1703, 28.6768, 26.1089, 24.7579,
23269  23.3092, 21.7559, 20.0902, 18.3042, 17.1649, 16.0512, 14.857,
23270  13.5765, 12.6638, 11.7541, 10.7786, 10.0539, 9.39066, 8.68974,
23271  7.98698, 7.23436, 6.79399, 6.33396, 5.93867, 5.49875, 5.00631,
23272  4.70789, 4.31978, 3.93709, 3.71102, 3.50311, 3.11746, 2.8887,
23273  2.67245, 2.43664, 2.27286, 2.04125, 1.87313, 1.72381, 1.58373,
23274  1.41922, 1.30001, 1.18241, 1.09262, 0.992239, 0.898279, 0.805736,
23275  0.710982, 0.645224, 0.580479, 0.513046, 0.460125, 0.398394, 0.350512,
23276  0.294815, 0.235253, 0.187944, 0.131464, 0.0, 0.0, 0.0,
23277  0.0, 0.0, 570.127, 565.004, 559.51, 553.62, 547.304,
23278  540.531, 533.269, 525.482, 517.132, 508.179, 498.579, 488.285,
23279  477.247, 465.412, 452.721, 439.113, 424.522, 408.876, 392.1,
23280  374.111, 354.822, 334.139, 311.962, 288.181, 262.683, 235.341,
23281  206.024, 174.588, 140.88, 104.736, 65.9807, 50.437, 48.3047,
23282  46.0183, 43.5666, 40.9378, 38.1189, 35.0964, 31.8554, 28.3802,
23283  25.6225, 24.3256, 22.935, 21.4439, 19.845, 18.1306, 17.0281,
23284  16.0449, 14.9906, 13.8602, 12.9878, 12.1486, 11.2489, 10.3869,
23285  9.51833, 8.63155, 8.14748, 7.62843, 7.02925, 6.39038, 6.01535,
23286  5.58817, 5.08337, 4.72821, 4.38955, 4.05082, 3.71861, 3.35331,
23287  3.21724, 2.88136, 2.68749, 2.49589, 2.30349, 2.08599, 1.87366,
23288  1.75184, 1.59687, 1.45899, 1.32987, 1.21278, 1.09979, 1.00774,
23289  0.893502, 0.83477, 0.752046, 0.651947, 0.592945, 0.501845, 0.4538,
23290  0.402022, 0.351905, 0.296929, 0.244084, 0.187514, 0.141951, 0.0,
23291  0.0, 0.0, 0.0, 0.0, 570.62, 565.514, 560.039,
23292  554.168, 547.873, 541.123, 533.886, 526.125, 517.803, 508.88,
23293  499.312, 489.053, 478.052, 466.257, 453.608, 440.046, 425.504,
23294  409.911, 393.191, 375.262, 356.038, 335.425, 313.322, 289.622,
23295  264.209, 236.959, 207.74, 176.41, 142.815, 106.793, 68.1672,
23296  49.3154, 47.3483, 45.2391, 42.9775, 40.5524, 37.9521, 35.1639,
23297  32.1741, 28.9683, 26.183, 24.8611, 23.4436, 21.9238, 20.294,
23298  18.5466, 17.2653, 16.1482, 14.9503, 13.6659, 12.7224, 11.9059,
23299  11.0304, 10.3175, 9.73058, 9.10121, 8.40619, 7.66095, 7.07586,
23300  6.49516, 5.90974, 5.38825, 5.12118, 4.75129, 4.37778, 4.05592,
23301  3.74995, 3.29555, 3.38871, 2.96616, 2.68018, 2.47055, 2.28262,
23302  2.07148, 1.93195, 1.7617, 1.60162, 1.45208, 1.32859, 1.20509,
23303  1.08378, 0.986418, 0.903315, 0.826905, 0.740587, 0.675417, 0.59021,
23304  0.519572, 0.468039, 0.40673, 0.363098, 0.315881, 0.254094, 0.196236,
23305  0.145958, 0.0, 0.0, 0.0, 0.0, 0.0, 596.713,
23306  591.404, 585.713, 579.61, 573.066, 566.049, 558.525, 550.457,
23307  541.806, 532.53, 522.583, 511.918, 500.482, 488.22, 475.071,
23308  460.972, 445.855, 429.645, 412.263, 393.625, 373.64, 352.212,
23309  329.234, 304.596, 278.177, 249.85, 219.475, 186.905, 151.981,
23310  114.533, 74.3796, 51.2003, 49.1818, 47.0175, 44.6967, 42.2082,
23311  39.5399, 36.6788, 33.6108, 30.3212, 27.26, 25.8942, 24.4298,
23312  22.8594, 21.1756, 19.3701, 17.9377, 16.7248, 15.4241, 14.0295,
23313  12.9396, 12.0398, 11.075, 10.2532, 9.60983, 8.91997, 8.30251,
23314  7.65227, 6.94888, 6.1924, 5.87596, 5.61939, 5.30806, 4.90904,
23315  4.47142, 4.0592, 3.74771, 3.49247, 3.22266, 2.90116, 2.7265,
23316  2.44653, 2.28097, 2.10873, 1.91897, 1.76533, 1.59591, 1.48732,
23317  1.30188, 1.20825, 1.09141, 1.00748, 0.904698, 0.805054, 0.749501,
23318  0.657072, 0.598184, 0.534296, 0.473668, 0.415114, 0.365226, 0.309384,
23319  0.252704, 0.201016, 0.149552, 0.0911355, 0.0, 0.0, 0.0,
23320  0.0, 570.935, 565.916, 560.533, 554.762, 548.574, 541.939,
23321  534.824, 527.195, 519.015, 510.243, 500.838, 490.752, 479.938,
23322  468.343, 455.909, 442.578, 428.282, 412.954, 396.517, 378.893,
23323  359.995, 339.732, 318.004, 294.706, 269.725, 242.937, 214.215,
23324  183.416, 150.392, 114.981, 77.0109, 51.6453, 49.6056, 47.4185,
23325  45.0734, 42.5587, 39.8624, 36.9711, 33.871, 30.5468, 27.2403,
23326  25.7656, 24.1844, 22.4889, 20.6708, 18.7214, 17.2626, 16.277,
23327  15.2201, 14.0869, 13.098, 12.2515, 11.3439, 10.5045, 9.81771,
23328  9.08124, 8.43715, 7.77792, 7.16443, 6.55831, 6.18833, 5.85871,
23329  5.27727, 4.83415, 4.49387, 4.16226, 3.83993, 3.58819, 3.27227,
23330  3.01174, 2.72636, 2.52227, 2.33427, 2.07447, 1.92346, 1.78637,
23331  1.60343, 1.48933, 1.34894, 1.21469, 1.12082, 0.99056, 0.913746,
23332  0.825691, 0.761738, 0.668809, 0.611799, 0.535899, 0.477618, 0.422258,
23333  0.355434, 0.308759, 0.260287, 0.205864, 0.150777, 0.0947449, 0.0,
23334  0.0, 0.0, 0.0, 580.182, 575.117, 569.685, 563.861,
23335  557.616, 550.919, 543.739, 536.04, 527.784, 518.932, 509.44,
23336  499.262, 488.348, 476.646, 464.098, 450.643, 436.216, 420.747,
23337  404.159, 386.373, 367.301, 346.851, 324.924, 301.411, 276.2,
23338  249.166, 220.179, 189.097, 155.769, 120.032, 81.7123, 52.6724,
23339  50.5361, 48.2454, 45.7891, 43.1554, 40.3313, 37.3031, 34.056,
23340  30.5744, 26.9114, 25.5215, 24.0312, 22.4332, 20.7197, 18.8823,
23341  17.3806, 16.377, 15.301, 14.1471, 13.1225, 12.3082, 11.435,
23342  10.6152, 10.0073, 9.35557, 8.57814, 7.71614, 7.10315, 6.69372,
23343  6.17082, 5.57063, 5.18151, 4.85549, 4.57336, 4.15185, 3.82405,
23344  3.56718, 3.23953, 3.02095, 2.67791, 2.54291, 2.32919, 2.114,
23345  1.93034, 1.80301, 1.63032, 1.48902, 1.38631, 1.22078, 1.12912,
23346  1.04143, 0.926388, 0.849818, 0.76108, 0.675026, 0.606531, 0.539843,
23347  0.485922, 0.422788, 0.363595, 0.311328, 0.26406, 0.210368, 0.159402,
23348  0.0997554, 0.0, 0.0, 0.0, 0.0, 572.516, 567.549,
23349  562.224, 556.514, 550.391, 543.825, 536.786, 529.237, 521.143,
23350  512.464, 503.157, 493.179, 482.479, 471.005, 458.703, 445.512,
23351  431.367, 416.2, 399.937, 382.499, 363.8, 343.75, 322.252,
23352  299.199, 274.481, 247.976, 219.556, 189.082, 156.406, 121.369,
23353  83.7989, 51.9812, 49.8778, 47.6223, 45.2039, 42.6107, 39.8301,
23354  36.8486, 33.6516, 30.2235, 26.5477, 25.1193, 23.7473, 22.2761,
23355  20.6986, 19.0072, 17.5199, 16.5301, 15.4688, 14.3308, 13.2795,
23356  12.4765, 11.6155, 10.721, 9.86616, 8.94956, 8.28329, 7.74117,
23357  7.21003, 6.6969, 6.19691, 5.6968, 5.4341, 5.06648, 4.53927,
23358  4.21754, 3.85196, 3.54237, 3.23063, 3.04138, 2.75882, 2.58875,
23359  2.33267, 2.13124, 1.96334, 1.79769, 1.63017, 1.4901, 1.38182,
23360  1.27346, 1.15178, 1.02924, 0.938022, 0.844375, 0.764111, 0.671092,
23361  0.618916, 0.548635, 0.4896, 0.436044, 0.380335, 0.332035, 0.270683,
23362  0.220757, 0.161375, 0.108702, 0.0, 0.0, 0.0, 0.0,
23363  575.664, 570.687, 565.352, 559.63, 553.495, 546.917, 539.864,
23364  532.3, 524.19, 515.494, 506.17, 496.171, 485.451, 473.955,
23365  461.629, 448.411, 434.239, 419.043, 402.748, 385.275, 366.54,
23366  346.452, 324.911, 301.813, 277.047, 250.49, 222.015, 191.481,
23367  158.742, 123.636, 85.9925, 50.7876, 48.8734, 46.8209, 44.62,
23368  42.2601, 39.7297, 37.0164, 34.107, 30.9873, 27.6423, 25.9379,
23369  24.4359, 22.8254, 21.0985, 19.2468, 17.5673, 16.6097, 15.5828,
23370  14.4817, 13.3917, 12.4827, 11.5081, 10.5301, 9.91985, 9.26552,
23371  8.61676, 7.96239, 7.33624, 6.78501, 6.27674, 5.81559, 5.40704,
23372  4.99769, 4.58138, 4.22934, 3.88632, 3.54438, 3.26881, 3.0618,
23373  2.80492, 2.58711, 2.34318, 2.1451, 1.99171, 1.8191, 1.66004,
23374  1.50531, 1.371, 1.25262, 1.14443, 1.03378, 0.970868, 0.837417,
23375  0.793032, 0.710124, 0.634258, 0.561662, 0.49704, 0.438208, 0.386968,
23376  0.329923, 0.275341, 0.221698, 0.175629, 0.112221, 0.0, 0.0,
23377  0.0, 0.0, 576.025, 571.1, 565.819, 560.157, 554.085,
23378  547.574, 540.593, 533.108, 525.081, 516.474, 507.246, 497.35,
23379  486.74, 475.362, 463.163, 450.082, 436.055, 421.015, 404.888,
23380  387.595, 369.053, 349.17, 327.851, 304.991, 280.48, 254.196,
23381  226.014, 195.794, 163.391, 128.646, 91.3904, 53.2057, 51.0317,
23382  48.7006, 46.2011, 43.5209, 40.647, 37.5655, 34.2613, 30.7182,
23383  26.9191, 25.0939, 23.8237, 22.4617, 21.0013, 19.4354, 17.896,
23384  16.8683, 15.7664, 14.5849, 13.3984, 12.5046, 11.5461, 10.5432,
23385  9.93722, 9.28742, 8.65984, 8.06286, 7.43221, 6.7779, 6.21939,
23386  5.82446, 5.39675, 4.95689, 4.54548, 4.22974, 3.84656, 3.56152,
23387  3.34265, 3.08317, 2.8738, 2.58714, 2.35571, 2.17045, 2.01488,
23388  1.83442, 1.68257, 1.50323, 1.39823, 1.2485, 1.14991, 1.05038,
23389  0.956531, 0.87018, 0.770881, 0.701693, 0.62233, 0.567012, 0.502311,
23390  0.447324, 0.384722, 0.337789, 0.2811, 0.23598, 0.175296, 0.120246,
23391  0.0, 0.0, 0.0, 0.0, 570.092, 565.232, 560.021,
23392  554.433, 548.441, 542.016, 535.127, 527.74, 519.819, 511.325,
23393  502.218, 492.453, 481.982, 470.755, 458.715, 445.806, 431.964,
23394  417.122, 401.207, 384.142, 365.844, 346.223, 325.185, 302.626,
23395  278.437, 252.499, 224.688, 194.866, 162.889, 128.602, 91.8364,
23396  52.414, 49.022, 47.0284, 44.8907, 42.5985, 40.1407, 37.5053,
23397  34.6794, 31.6493, 28.4002, 26.3329, 24.7817, 23.1183, 21.3348,
23398  19.4224, 17.493, 16.5027, 15.4409, 14.3023, 13.1315, 12.3622,
23399  11.5373, 10.6528, 10.0226, 9.35791, 8.66838, 7.9649, 7.28817,
23400  6.83889, 6.34705, 5.79905, 5.4052, 5.06334, 4.60193, 4.39434,
23401  4.01566, 3.6187, 3.39771, 3.1018, 2.86036, 2.59717, 2.38923,
23402  2.18319, 1.98479, 1.87248, 1.69135, 1.54201, 1.40719, 1.26195,
23403  1.18608, 1.04879, 0.9762, 0.861914, 0.783007, 0.725588, 0.646296,
23404  0.57798, 0.504123, 0.449511, 0.393655, 0.342254, 0.292156, 0.227755,
23405  0.180924, 0.125551, 0.0, 0.0, 0.0, 0.0, 560.831,
23406  556.106, 551.039, 545.607, 539.781, 533.535, 526.837, 519.656,
23407  511.955, 503.697, 494.843, 485.35, 475.17, 464.254, 452.549,
23408  439.999, 426.542, 412.112, 396.639, 380.049, 362.259, 343.183,
23409  322.729, 300.797, 277.28, 252.064, 225.025, 196.032, 164.944,
23410  131.609, 95.8652, 57.5382, 50.8746, 48.7267, 46.4235, 43.9539,
23411  41.3058, 38.4663, 35.4217, 32.157, 28.6564, 26.3753, 24.9283,
23412  23.3768, 21.7131, 19.9292, 18.0369, 17.0272, 15.9445, 14.7835,
23413  13.5451, 12.7364, 11.8692, 10.9394, 10.116, 9.25661, 8.48577,
23414  7.99451, 7.45072, 6.76078, 6.14285, 5.85321, 5.50657, 5.10599,
23415  4.65188, 4.39639, 4.0811, 3.69759, 3.40526, 3.09408, 2.87947,
23416  2.58983, 2.41945, 2.24054, 2.03853, 1.83717, 1.71339, 1.5641,
23417  1.43594, 1.27716, 1.17991, 1.0327, 0.980759, 0.90208, 0.799824,
23418  0.710708, 0.646492, 0.574093, 0.519763, 0.455901, 0.40539, 0.345778,
23419  0.295225, 0.240236, 0.187634, 0.126051, 0.0, 0.0, 0.0,
23420  0.0, 568.086, 563.311, 558.191, 552.701, 546.814, 540.502,
23421  533.734, 526.476, 518.694, 510.35, 501.403, 491.809, 481.522,
23422  470.491, 458.663, 445.981, 432.382, 417.8, 402.164, 385.399,
23423  367.422, 348.145, 327.476, 305.313, 281.548, 256.066, 228.742,
23424  199.444, 168.028, 134.342, 98.2219, 59.4912, 49.6441, 47.6038,
23425  45.4161, 43.0703, 40.555, 37.8578, 34.9658, 31.8648, 28.5397,
23426  26.2253, 24.9346, 23.5506, 22.0666, 20.4754, 18.7691, 17.4987,
23427  16.1753, 14.7561, 13.2345, 12.4523, 11.6806, 10.853, 10.1765,
23428  9.50544, 8.82522, 8.22913, 7.59672, 7.03164, 6.44824, 5.93677,
23429  5.47186, 5.05991, 4.68926, 4.3867, 4.07393, 3.71448, 3.4418,
23430  3.18205, 2.84981, 2.66698, 2.43171, 2.22529, 2.04106, 1.89424,
23431  1.74267, 1.5636, 1.41306, 1.30954, 1.21254, 1.08677, 0.994005,
23432  0.923815, 0.80926, 0.730239, 0.650701, 0.591371, 0.516518, 0.446319,
23433  0.400368, 0.344775, 0.302538, 0.237024, 0.19127, 0.136546, 0.0,
23434  0.0, 0.0, 0.0, 565.614, 560.902, 555.848, 550.43,
23435  544.619, 538.389, 531.709, 524.546, 516.865, 508.629, 499.798,
23436  490.329, 480.175, 469.288, 457.614, 445.096, 431.673, 417.281,
23437  401.849, 385.301, 367.557, 348.531, 328.13, 306.255, 282.799,
23438  257.648, 230.679, 201.761, 170.754, 137.506, 101.854, 63.6269,
23439  50.6624, 48.5472, 46.2791, 43.8471, 41.2393, 38.4431, 35.4448,
23440  32.2299, 28.7826, 26.2093, 24.941, 23.581, 22.1227, 20.559,
23441  18.8823, 17.61, 16.3383, 14.9748, 13.5127, 12.6577, 11.8746,
23442  11.0349, 10.2813, 9.53296, 8.75138, 8.03448, 7.26578, 6.82217,
23443  6.36838, 6.01272, 5.59735, 5.10302, 4.71807, 4.45058, 4.1748,
23444  3.7311, 3.43024, 3.10363, 2.89072, 2.67021, 2.43094, 2.25192,
23445  2.08719, 1.89241, 1.7317, 1.59698, 1.44371, 1.31493, 1.19307,
23446  1.06453, 0.996429, 0.905359, 0.807585, 0.734438, 0.681697, 0.607627,
23447  0.525143, 0.457733, 0.409545, 0.34572, 0.293116, 0.244403, 0.192711,
23448  0.143139, 0.0, 0.0, 0.0, 0.0, 577.83, 573.035,
23449  567.894, 562.382, 556.471, 550.133, 543.337, 536.049, 528.236,
23450  519.857, 510.873, 501.24, 490.91, 479.834, 467.958, 455.223,
23451  441.568, 426.927, 411.227, 394.392, 376.341, 356.986, 336.232,
23452  313.977, 290.115, 264.528, 237.092, 207.674, 176.129, 142.305,
23453  106.036, 67.1462, 50.7963, 48.7506, 46.557, 44.2049, 41.6828,
23454  38.9784, 36.0786, 32.9693, 29.6352, 26.9059, 25.5634, 24.1239,
23455  22.5804, 20.9253, 19.1506, 17.8031, 16.5277, 15.1601, 13.6937,
23456  12.7336, 11.8994, 11.005, 10.2228, 9.48886, 8.7248, 8.22311,
23457  7.68517, 7.01998, 6.29794, 5.98873, 5.62591, 5.17292, 4.85897,
23458  4.46321, 4.00605, 3.73359, 3.52215, 3.20087, 2.85918, 2.63454,
23459  2.4365, 2.25815, 2.115, 1.90508, 1.73222, 1.60228, 1.4474,
23460  1.31037, 1.24927, 1.11613, 1.02013, 0.900035, 0.79996, 0.737939,
23461  0.680154, 0.589939, 0.524384, 0.461781, 0.420026, 0.365274, 0.308438,
23462  0.260264, 0.199112, 0.1446, 0.0, 0.0, 0.0, 0.0,
23463  566.078, 561.424, 556.434, 551.084, 545.347, 539.195, 532.599,
23464  525.526, 517.942, 509.809, 501.089, 491.739, 481.713, 470.963,
23465  459.436, 447.075, 433.822, 419.611, 404.372, 388.033, 370.512,
23466  351.726, 331.581, 309.981, 286.821, 261.986, 235.356, 206.802,
23467  176.185, 143.355, 108.152, 70.4059, 51.347, 49.2586, 47.0193,
23468  44.6182, 42.0435, 39.2828, 36.3225, 33.1484, 29.7448, 26.7698,
23469  25.4272, 23.9876, 22.4439, 20.7887, 19.0138, 17.6747, 16.5004,
23470  15.2413, 13.8911, 12.8952, 12.0447, 11.1327, 10.2957, 9.5154,
23471  8.67875, 8.12984, 7.54576, 7.02634, 6.49506, 6.10985, 5.69516,
23472  5.19722, 4.83249, 4.49175, 4.14061, 3.86914, 3.45201, 3.22907,
23473  3.01324, 2.69213, 2.50536, 2.26039, 2.09783, 1.94828, 1.71952,
23474  1.63292, 1.4809, 1.37565, 1.22406, 1.08853, 1.00731, 0.917538,
23475  0.843806, 0.751863, 0.673725, 0.614172, 0.535397, 0.480083, 0.410795,
23476  0.361535, 0.308206, 0.260664, 0.210723, 0.148236, 0.0, 0.0,
23477  0.0, 0.0, 579.316, 574.58, 569.501, 564.056, 558.217,
23478  551.956, 545.243, 538.044, 530.326, 522.049, 513.174, 503.658,
23479  493.455, 482.513, 470.782, 458.202, 444.713, 430.25, 414.741,
23480  398.112, 380.28, 361.16, 340.659, 318.675, 295.104, 269.828,
23481  242.726, 213.666, 182.505, 149.092, 113.265, 74.8488, 52.2836,
23482  50.1924, 47.9501, 45.5458, 42.9678, 40.2034, 37.2393, 34.0609,
23483  30.6529, 27.4622, 26.0475, 24.5305, 22.9039, 21.1597, 19.2895,
23484  17.857, 16.7012, 15.4617, 14.1328, 13.0475, 12.1169, 11.1191,
23485  10.2841, 9.65987, 8.99056, 8.34871, 7.66859, 7.12611, 6.61578,
23486  6.18546, 5.73835, 5.21721, 4.79764, 4.43931, 4.10198, 3.70611,
23487  3.55353, 3.22776, 2.89047, 2.78692, 2.54423, 2.25756, 2.17849,
23488  1.94538, 1.79227, 1.64255, 1.47534, 1.36155, 1.23576, 1.13244,
23489  1.0219, 0.940081, 0.854091, 0.735081, 0.679644, 0.59646, 0.53601,
23490  0.488183, 0.428566, 0.362568, 0.315319, 0.263034, 0.209228, 0.154906,
23491  0.0930963, 0.0, 0.0, 0.0, 576.744, 572.041, 566.998,
23492  561.591, 555.793, 549.576, 542.909, 535.761, 528.096, 519.878,
23493  511.065, 501.616, 491.484, 480.619, 468.969, 456.478, 443.083,
23494  428.721, 413.321, 396.808, 379.101, 360.115, 339.757, 317.928,
23495  294.521, 269.422, 242.51, 213.653, 182.71, 149.531, 113.955,
23496  75.8075, 50.2687, 48.2767, 46.1407, 43.8504, 41.3945, 38.7611,
23497  35.9375, 32.9098, 29.6633, 26.4434, 25.1282, 23.718, 22.2058,
23498  20.5844, 18.8458, 17.4406, 16.3577, 15.1966, 13.9515, 12.9264,
23499  12.1225, 11.2606, 10.4514, 9.76853, 9.03628, 8.25093, 7.40878,
23500  6.94613, 6.69584, 6.17213, 5.54668, 5.07021, 4.69166, 4.39436,
23501  4.12771, 3.77642, 3.54456, 3.32427, 2.98346, 2.73122, 2.55932,
23502  2.341, 2.11455, 1.92644, 1.7942, 1.67188, 1.4525, 1.35341,
23503  1.24855, 1.15517, 1.02812, 0.926256, 0.855607, 0.759685, 0.723327,
23504  0.613258, 0.545808, 0.49222, 0.436311, 0.37848, 0.321586, 0.269712,
23505  0.212085, 0.158454, 0.0970108, 0.0, 0.0, 0.0, 582.405,
23506  577.692, 572.638, 567.219, 561.408, 555.177, 548.496, 541.332,
23507  533.65, 525.413, 516.581, 507.111, 496.956, 486.067, 474.392,
23508  461.873, 448.449, 434.055, 418.62, 402.071, 384.325, 365.297,
23509  344.893, 323.016, 299.557, 274.403, 247.431, 218.51, 187.499,
23510  154.246, 118.591, 80.3592, 51.5637, 49.482, 47.2497, 44.8562,
23511  42.2897, 39.5378, 36.5869, 33.4228, 30.0301, 26.4728, 25.1786,
23512  23.7909, 22.3029, 20.7073, 18.9965, 17.5359, 16.446, 15.2774,
23513  14.0243, 12.9689, 12.2167, 11.41, 10.6009, 9.86087, 9.06735,
23514  8.42634, 7.81321, 7.26198, 6.75405, 6.23855, 5.70074, 5.19175,
23515  4.75791, 4.41666, 4.13494, 3.86482, 3.54445, 3.34758, 2.99197,
23516  2.79522, 2.58052, 2.33431, 2.19642, 2.00735, 1.8418, 1.67923,
23517  1.54328, 1.3548, 1.26391, 1.12233, 1.02712, 0.93861, 0.846882,
23518  0.785758, 0.697769, 0.633961, 0.566672, 0.49096, 0.445347, 0.385414,
23519  0.326035, 0.274521, 0.220909, 0.168372, 0.104344, 0.0, 0.0,
23520  0.0, 572.818, 568.223, 563.296, 558.013, 552.348, 546.274,
23521  539.76, 532.777, 525.288, 517.258, 508.648, 499.416, 489.516,
23522  478.902, 467.52, 455.315, 442.229, 428.196, 413.15, 397.016,
23523  379.717, 361.167, 341.277, 319.949, 297.08, 272.558, 246.264,
23524  218.07, 187.839, 155.422, 120.663, 83.3926, 52.2321, 50.2009,
23525  48.0228, 45.6874, 43.1831, 40.4979, 37.6187, 34.5314, 31.2209,
23526  27.6713, 26.1834, 24.7083, 23.1266, 21.4306, 19.6121, 18.028,
23527  16.9787, 15.8535, 14.647, 13.5219, 12.6248, 11.6628, 10.726,
23528  10.0459, 9.31655, 8.66395, 8.03152, 7.35799, 6.64076, 6.14284,
23529  5.79538, 5.36754, 4.92042, 4.47829, 4.1866, 3.79009, 3.54567,
23530  3.31374, 3.05102, 2.8131, 2.60234, 2.36798, 2.19399, 1.97404,
23531  1.83642, 1.67795, 1.52642, 1.37356, 1.29886, 1.16267, 1.06458,
23532  0.956334, 0.867125, 0.788929, 0.713262, 0.631899, 0.562288, 0.491749,
23533  0.439725, 0.389076, 0.337533, 0.279251, 0.230169, 0.170201, 0.111373,
23534  0.0, 0.0, 0.0, 591.416, 586.675, 581.591, 576.14,
23535  570.295, 564.028, 557.308, 550.102, 542.375, 534.09, 525.207,
23536  515.681, 505.467, 494.514, 482.771, 470.178, 456.676, 442.197,
23537  426.673, 410.026, 392.177, 373.037, 352.515, 330.509, 306.913,
23538  281.612, 254.482, 225.392, 194.199, 160.753, 124.889, 86.4333,
23539  51.1218, 49.2072, 47.1542, 44.9529, 42.5925, 40.0615, 37.3476,
23540  34.4376, 31.3172, 27.9714, 26.2501, 24.6859, 23.0086, 21.2101,
23541  19.2817, 17.5397, 16.5015, 15.3882, 14.1944, 13.0889, 12.3655,
23542  11.5898, 10.7779, 10.0213, 9.21005, 8.51403, 7.89478, 7.28819,
23543  6.7232, 6.24077, 5.84069, 5.36026, 4.8914, 4.49227, 4.22943,
23544  3.92667, 3.50007, 3.28894, 3.08796, 2.77298, 2.5404, 2.40635,
23545  2.14178, 2.02007, 1.848, 1.67211, 1.51817, 1.42521, 1.25734,
23546  1.16101, 1.04189, 0.957191, 0.87553, 0.787952, 0.731769, 0.631435,
23547  0.589363, 0.4965, 0.449076, 0.393821, 0.333964, 0.288425, 0.224702,
23548  0.176537, 0.116085, 0.0, 0.0, 0.0, 575.232, 570.667,
23549  565.772, 560.523, 554.895, 548.86, 542.389, 535.45, 528.01,
23550  520.033, 511.478, 502.306, 492.471, 481.925, 470.617, 458.491,
23551  445.49, 431.548, 416.6, 400.57, 383.383, 364.954, 345.192,
23552  324.003, 301.282, 276.919, 250.796, 222.785, 192.749, 160.543,
23553  126.01, 88.9803, 51.8936, 49.9777, 47.9234, 45.7206, 43.3586,
23554  40.8259, 38.1102, 35.1982, 32.0758, 28.7278, 26.8162, 25.2173,
23555  23.5029, 21.6647, 19.6935, 17.8037, 16.6478, 15.4083, 14.0792,
23556  12.8261, 12.1845, 11.4965, 10.7638, 10.0417, 9.26738, 8.54819,
23557  7.88869, 7.24415, 6.68387, 6.17815, 5.75979, 5.37679, 5.00645,
23558  4.66409, 4.24703, 3.91694, 3.62625, 3.3958, 3.11992, 2.81336,
23559  2.58321, 2.36249, 2.17426, 2.02376, 1.85395, 1.68653, 1.55928,
23560  1.44763, 1.29191, 1.16318, 1.05591, 0.940491, 0.874235, 0.775046,
23561  0.722893, 0.645259, 0.565744, 0.522088, 0.449126, 0.399748, 0.343802,
23562  0.285407, 0.23044, 0.180931, 0.121718, 0.0, 0.0, 0.0,
23563  600.832, 596.083, 590.992, 585.532, 579.678, 573.4, 566.669,
23564  559.452, 551.713, 543.415, 534.517, 524.976, 514.745, 503.775,
23565  492.013, 479.4, 465.876, 451.374, 435.825, 419.152, 401.274,
23566  382.104, 361.548, 339.507, 315.873, 290.532, 263.359, 234.222,
23567  202.979, 169.479, 133.558, 95.0404, 53.7397, 51.1064, 48.7893,
23568  46.3048, 43.6407, 40.784, 37.7209, 34.4365, 30.9147, 27.1384,
23569  25.1497, 23.8655, 22.4885, 21.012, 19.4288, 17.8364, 16.8474,
23570  15.7868, 14.6496, 13.4816, 12.6052, 11.6656, 10.658, 9.96958,
23571  9.23334, 8.58962, 8.10036, 7.55429, 6.90312, 6.3117, 5.87065,
23572  5.47347, 5.04436, 4.42994, 4.18626, 3.95787, 3.68048, 3.40347,
23573  3.10903, 2.82319, 2.61407, 2.42535, 2.18528, 2.05078, 1.83528,
23574  1.70398, 1.54543, 1.44839, 1.32441, 1.14124, 1.06135, 0.975903,
23575  0.880677, 0.794256, 0.721731, 0.645308, 0.57779, 0.520341, 0.461835,
23576  0.403155, 0.340875, 0.291963, 0.248633, 0.181278, 0.126338, 0.0,
23577  0.0, 0.0, 569.129, 564.688, 559.925, 554.818, 549.342,
23578  543.47, 537.174, 530.423, 523.184, 515.422, 507.099, 498.174,
23579  488.604, 478.343, 467.341, 455.543, 442.893, 429.328, 414.783,
23580  399.187, 382.464, 364.533, 345.305, 324.688, 302.581, 278.877,
23581  253.459, 226.205, 196.981, 165.645, 132.045, 96.0159, 57.3836,
23582  51.8233, 49.5162, 47.0423, 44.3897, 41.5454, 38.4955, 35.2252,
23583  31.7186, 27.9586, 25.7068, 24.3401, 22.8746, 21.3033, 19.6184,
23584  17.8607, 16.8676, 15.8027, 14.6609, 13.4551, 12.5605, 11.6013,
23585  10.5729, 9.92908, 9.28164, 8.68969, 8.25098, 7.74614, 7.03666,
23586  6.35825, 5.8435, 5.41415, 5.05382, 4.82566, 4.40202, 3.9776,
23587  3.69841, 3.47614, 3.12232, 2.89136, 2.65527, 2.39081, 2.28126,
23588  2.0628, 1.83443, 1.67459, 1.56603, 1.38321, 1.27075, 1.17539,
23589  1.10173, 0.979169, 0.894864, 0.795473, 0.725949, 0.646124, 0.593636,
23590  0.530281, 0.476195, 0.409065, 0.356242, 0.29202, 0.24534, 0.188494,
23591  0.128901, 0.0, 0.0, 0.0, 572.446, 567.981, 563.193,
23592  558.06, 552.555, 546.653, 540.324, 533.537, 526.261, 518.458,
23593  510.091, 501.12, 491.501, 481.186, 470.126, 458.267, 445.55,
23594  431.915, 417.294, 401.617, 384.806, 366.781, 347.453, 326.729,
23595  304.507, 280.678, 255.128, 227.732, 198.355, 166.855, 133.08,
23596  96.8629, 58.0288, 49.6771, 47.6413, 45.4584, 43.1177, 40.6079,
23597  37.9167, 35.0311, 31.9369, 28.619, 26.3173, 24.8712, 23.3205,
23598  21.6579, 19.875, 17.9633, 17.0167, 16.0295, 14.9709, 13.8357,
23599  12.9592, 12.0308, 11.0354, 10.2923, 9.55973, 8.82062, 8.15602,
23600  7.46824, 6.96941, 6.46434, 6.03991, 5.57515, 5.07408, 4.66257,
23601  4.35601, 4.04639, 3.68895, 3.39805, 3.16931, 2.89055, 2.64817,
23602  2.42361, 2.24406, 2.05057, 1.88312, 1.74897, 1.58826, 1.39636,
23603  1.26848, 1.20338, 1.1021, 0.993796, 0.91842, 0.819375, 0.73295,
23604  0.670749, 0.595468, 0.540937, 0.470267, 0.417562, 0.363503, 0.311072,
23605  0.251643, 0.203068, 0.133779, 0.0, 0.0, 0.0, 604.008,
23606  599.313, 594.279, 588.882, 583.094, 576.888, 570.233, 563.098,
23607  555.446, 547.242, 538.445, 529.013, 518.898, 508.053, 496.424,
23608  483.954, 470.584, 456.247, 440.874, 424.39, 406.714, 387.762,
23609  367.44, 345.649, 322.283, 297.229, 270.364, 241.558, 210.67,
23610  177.55, 142.036, 103.956, 63.1242, 51.2018, 49.084, 46.813,
23611  44.378, 41.767, 38.9674, 35.9654, 32.7464, 29.2948, 26.7264,
23612  25.229, 23.6233, 21.9016, 20.0555, 18.076, 16.9357, 15.8272,
23613  14.6385, 13.364, 12.6168, 11.894, 11.119, 10.3331, 9.50505,
23614  8.69492, 8.15662, 7.5811, 7.04852, 6.47967, 5.88486, 5.38083,
23615  5.00108, 4.715, 4.39653, 4.0581, 3.71549, 3.37764, 3.18162,
23616  2.94498, 2.72624, 2.43375, 2.20924, 2.08219, 1.92865, 1.73224,
23617  1.60005, 1.44405, 1.37316, 1.22218, 1.11388, 1.01229, 0.908248,
23618  0.798974, 0.743726, 0.699377, 0.604079, 0.547621, 0.476846, 0.421363,
23619  0.365888, 0.30137, 0.252645, 0.196786, 0.142343, 0.0, 0.0,
23620  0.0, 585.354, 580.854, 576.03, 570.858, 565.311, 559.364,
23621  552.986, 546.148, 538.816, 530.954, 522.523, 513.484, 503.791,
23622  493.398, 482.253, 470.303, 457.49, 443.751, 429.018, 413.221,
23623  396.283, 378.12, 358.645, 337.762, 315.371, 291.361, 265.616,
23624  238.01, 208.41, 176.67, 142.636, 106.143, 67.0133, 52.4052,
23625  50.1319, 47.6942, 45.0803, 42.2776, 39.2723, 36.0498, 32.5945,
23626  28.8894, 26.0527, 24.7318, 23.3153, 21.7965, 20.168, 18.4218,
23627  17.2177, 16.076, 14.8518, 13.5392, 12.7341, 12.0129, 11.2396,
23628  10.4211, 9.54858, 8.66543, 8.11912, 7.53332, 7.01129, 6.46929,
23629  6.08797, 5.65236, 5.14127, 4.73216, 4.36952, 4.0573, 3.78515,
23630  3.51249, 3.22474, 2.95762, 2.73942, 2.50101, 2.2262, 2.12942,
23631  1.91804, 1.73237, 1.59721, 1.45229, 1.3274, 1.22807, 1.08622,
23632  1.0214, 0.925825, 0.836157, 0.75752, 0.681126, 0.612493, 0.539898,
23633  0.490145, 0.434223, 0.363723, 0.312558, 0.258883, 0.202134, 0.145363,
23634  0.0, 0.0, 0.0, 582.557, 578.101, 573.324, 568.202,
23635  562.709, 556.82, 550.505, 543.733, 536.472, 528.687, 520.338,
23636  511.387, 501.788, 491.496, 480.46, 468.627, 455.938, 442.333,
23637  427.744, 412.101, 395.327, 377.341, 358.056, 337.376, 315.203,
23638  291.427, 265.932, 238.595, 209.283, 177.852, 144.15, 108.013,
23639  69.2635, 51.878, 49.7326, 47.4321, 44.9653, 42.3203, 39.4842,
23640  36.4431, 33.1822, 29.6856, 26.7508, 25.3178, 23.7812, 22.1336,
23641  20.3669, 18.4726, 17.2092, 16.1252, 14.9628, 13.7164, 12.8032,
23642  11.9794, 11.0961, 10.2752, 9.47886, 8.63626, 7.99287, 7.303,
23643  6.88973, 6.49837, 6.01242, 5.53489, 5.12677, 4.73569, 4.37463,
23644  4.0754, 3.84245, 3.37063, 3.19339, 3.04715, 2.73556, 2.508,
23645  2.29067, 2.11277, 1.92634, 1.77139, 1.59297, 1.47429, 1.38555,
23646  1.23575, 1.15009, 1.02481, 0.924232, 0.822825, 0.749466, 0.680444,
23647  0.617105, 0.548764, 0.493588, 0.435691, 0.378669, 0.321439, 0.266234,
23648  0.204205, 0.149188, 0.0, 0.0, 0.0, 578.743, 574.34,
23649  569.619, 564.557, 559.128, 553.308, 547.067, 540.375, 533.199,
23650  525.505, 517.255, 508.408, 498.922, 488.751, 477.844, 466.15,
23651  453.61, 440.164, 425.746, 410.287, 393.71, 375.935, 356.876,
23652  336.439, 314.525, 291.028, 265.833, 238.816, 209.848, 178.786,
23653  145.479, 109.766, 71.4709, 51.387, 49.3646, 47.1961, 44.8708,
23654  42.3776, 39.7041, 36.8374, 33.7636, 30.4676, 27.4988, 26.0353,
23655  24.4661, 22.7835, 20.9793, 19.0447, 17.6553, 16.5145, 15.2912,
23656  13.9795, 12.9935, 12.1582, 11.2625, 10.4562, 9.73088, 8.95318,
23657  8.32869, 7.66641, 7.02125, 6.34721, 5.88137, 5.4614, 5.18331,
23658  4.76531, 4.39869, 4.17407, 3.71708, 3.46681, 3.28509, 2.97941,
23659  2.6757, 2.5479, 2.34285, 2.08838, 1.95174, 1.81416, 1.61302,
23660  1.48577, 1.366, 1.26481, 1.14629, 1.01124, 0.927715, 0.862971,
23661  0.779381, 0.695276, 0.618702, 0.554043, 0.488919, 0.428155, 0.37054,
23662  0.319649, 0.265128, 0.211231, 0.155348, 0.0, 0.0, 0.0,
23663  596.773, 592.239, 587.378, 582.165, 576.576, 570.583, 564.157,
23664  557.266, 549.877, 541.955, 533.459, 524.35, 514.583, 504.11,
23665  492.88, 480.838, 467.926, 454.081, 439.235, 423.317, 406.248,
23666  387.946, 368.321, 347.277, 324.713, 300.519, 274.576, 246.758,
23667  216.93, 184.946, 150.651, 113.877, 74.4457, 50.7557, 48.7569,
23668  46.6137, 44.3156, 41.8514, 39.2091, 36.3759, 33.3379, 30.0804,
23669  26.9977, 25.6481, 24.2009, 22.6492, 20.9854, 19.2013, 17.7015,
23670  16.3849, 14.9731, 13.4593, 12.4599, 11.8431, 11.1816, 10.5037,
23671  9.81497, 9.07652, 8.38398, 7.65387, 7.13291, 6.68195, 6.23843,
23672  5.74794, 5.09242, 4.70457, 4.46698, 4.22761, 3.77418, 3.51145,
23673  3.25683, 3.13058, 2.80799, 2.54205, 2.36706, 2.13786, 1.90509,
23674  1.76915, 1.59936, 1.4899, 1.36564, 1.22606, 1.13801, 1.01255,
23675  0.934975, 0.867719, 0.767356, 0.707129, 0.627857, 0.551297, 0.491906,
23676  0.43925, 0.384852, 0.331696, 0.270812, 0.216977, 0.160883, 0.100591,
23677  0.0, 0.0, 578.497, 574.143, 569.475, 564.47, 559.103,
23678  553.348, 547.177, 540.56, 533.466, 525.858, 517.7, 508.953,
23679  499.574, 489.518, 478.734, 467.171, 454.772, 441.478, 427.222,
23680  411.937, 395.547, 377.972, 359.127, 338.921, 317.254, 294.021,
23681  269.11, 242.398, 213.755, 183.043, 150.111, 114.8, 76.9364,
23682  51.2325, 49.2394, 47.1022, 44.8105, 42.3532, 39.7184, 36.8931,
23683  33.8636, 30.6153, 27.3636, 25.9548, 24.4441, 22.8243, 21.0874,
23684  19.225, 17.7567, 16.6882, 15.5425, 14.314, 13.2622, 12.3969,
23685  11.4689, 10.6109, 9.91918, 9.17744, 8.54746, 7.91036, 7.35434,
23686  6.83192, 6.26626, 5.6838, 5.35405, 4.89755, 4.40923, 4.13866,
23687  3.8738, 3.49723, 3.24987, 3.01961, 2.70152, 2.5681, 2.33961,
23688  2.11143, 1.97931, 1.78055, 1.62746, 1.5102, 1.40618, 1.23098,
23689  1.14839, 1.04662, 0.995632, 0.868237, 0.779358, 0.700773, 0.633451,
23690  0.568265, 0.497721, 0.449566, 0.380113, 0.331344, 0.274452, 0.220107,
23691  0.161901, 0.102623, 0.0, 0.0};
23692 
23694 const std::initializer_list<double> BREMS_PI0PI0_PIPI_DIFF_SIG_THETA = {
23695  0.00504138, 0.00505762, 0.00504767, 0.0050442, 0.00505366, 0.00505903,
23696  0.00505579, 0.00504878, 0.00504859, 0.00504393, 0.00504329, 0.00505316,
23697  0.00504325, 0.00505705, 0.00506452, 0.00504298, 0.00505392, 0.00505514,
23698  0.00505377, 0.00505442, 0.00504573, 0.00505842, 0.00506799, 0.00505198,
23699  0.00506041, 0.00506361, 0.00505804, 0.00505358, 0.00505793, 0.0050495,
23700  0.0050606, 0.00506422, 0.00505941, 0.00506353, 0.00506788, 0.00506128,
23701  0.0050606, 0.00506338, 0.00506452, 0.00506304, 0.00506144, 0.00505602,
23702  0.00504794, 0.00506902, 0.00506952, 0.00504794, 0.00506586, 0.00506132,
23703  0.00506075, 0.00506144, 0.00507024, 0.00505354, 0.00506136, 0.00504672,
23704  0.00505472, 0.00506258, 0.00507368, 0.00504721, 0.0050641, 0.0050535,
23705  0.00505488, 0.00505614, 0.00504622, 0.00505953, 0.00506288, 0.00505762,
23706  0.00506456, 0.00504553, 0.00504504, 0.00504839, 0.00506818, 0.00504881,
23707  0.00505507, 0.00505518, 0.00505114, 0.00505156, 0.00503291, 0.00504916,
23708  0.00505495, 0.00505484, 0.00892443, 0.00887124, 0.00887036, 0.0089043,
23709  0.00890354, 0.00888077, 0.00891219, 0.00888702, 0.00890906, 0.00888554,
23710  0.00886319, 0.00888885, 0.00891147, 0.00889793, 0.00888718, 0.00890506,
23711  0.00890666, 0.00890609, 0.00890087, 0.00888523, 0.00888092, 0.00891475,
23712  0.00890761, 0.00891516, 0.0089125, 0.0089088, 0.00893133, 0.00890556,
23713  0.00891211, 0.00892077, 0.00892393, 0.00891276, 0.00893415, 0.00890502,
23714  0.00892172, 0.00891189, 0.00888908, 0.00893675, 0.0089234, 0.00889682,
23715  0.00892127, 0.00889987, 0.00891051, 0.00891433, 0.00893023, 0.00891105,
23716  0.008917, 0.00893091, 0.00892191, 0.00891181, 0.00890247, 0.00891486,
23717  0.00890068, 0.0089263, 0.00890651, 0.00890678, 0.00891009, 0.00892878,
23718  0.00889438, 0.00891112, 0.00891833, 0.0088998, 0.00890308, 0.00890121,
23719  0.00890228, 0.00889328, 0.00890826, 0.00889385, 0.00888222, 0.00887829,
23720  0.00888512, 0.00890727, 0.00889198, 0.00890262, 0.00889171, 0.00886601,
23721  0.00889103, 0.00889282, 0.00888268, 0.00890891, 0.0134439, 0.0134752,
23722  0.0134816, 0.0134687, 0.0134948, 0.0134418, 0.0134698, 0.0134307,
23723  0.0134472, 0.0134904, 0.0134722, 0.0134636, 0.0134767, 0.0134766,
23724  0.0134713, 0.0134967, 0.013479, 0.0135204, 0.0134832, 0.0134859,
23725  0.0135064, 0.0135224, 0.0134982, 0.0135172, 0.0135158, 0.0134921,
23726  0.0134909, 0.0134851, 0.0135076, 0.01353, 0.0135069, 0.0135227,
23727  0.0135227, 0.0135472, 0.013512, 0.0134839, 0.0135255, 0.0134762,
23728  0.013525, 0.013514, 0.0135297, 0.0135155, 0.0135203, 0.0135226,
23729  0.0135035, 0.0135304, 0.0135236, 0.0135256, 0.0134802, 0.0134991,
23730  0.0135135, 0.0135081, 0.0135244, 0.0135049, 0.0134734, 0.0135057,
23731  0.0134973, 0.0134819, 0.0135124, 0.0134894, 0.0134498, 0.0134803,
23732  0.0134947, 0.0134978, 0.0134689, 0.013478, 0.0134978, 0.0134774,
23733  0.0134576, 0.0135032, 0.013481, 0.0134902, 0.013466, 0.0134844,
23734  0.0134641, 0.0134781, 0.0134646, 0.013454, 0.013431, 0.0134743,
23735  0.0186717, 0.0186681, 0.0186885, 0.0186816, 0.0186997, 0.0187136,
23736  0.0186857, 0.0187091, 0.0187238, 0.0186535, 0.0187278, 0.0187089,
23737  0.0187096, 0.01874, 0.0186865, 0.0187175, 0.018733, 0.0187561,
23738  0.0187283, 0.0187683, 0.0187244, 0.0187957, 0.0188025, 0.0187603,
23739  0.0187458, 0.0187609, 0.0187655, 0.0187192, 0.0187924, 0.0187958,
23740  0.0187965, 0.0187519, 0.0188057, 0.0188046, 0.0187656, 0.0188106,
23741  0.0187773, 0.0188105, 0.0188206, 0.0188171, 0.0187998, 0.0187729,
23742  0.0188208, 0.0187847, 0.0187723, 0.0187922, 0.0188073, 0.0187699,
23743  0.018742, 0.018817, 0.018809, 0.0187878, 0.0187586, 0.0187918,
23744  0.0187748, 0.0187869, 0.0188024, 0.0187718, 0.0187474, 0.0187641,
23745  0.0187745, 0.0187301, 0.0187183, 0.0187329, 0.0187271, 0.0187281,
23746  0.0187696, 0.0187214, 0.0187664, 0.0187115, 0.0187173, 0.0186915,
23747  0.018679, 0.0186799, 0.0187195, 0.018698, 0.0186955, 0.0187133,
23748  0.0187292, 0.0186977, 0.0245327, 0.0245318, 0.0245342, 0.0245114,
23749  0.024589, 0.0245196, 0.0245122, 0.0245736, 0.0245993, 0.0246042,
23750  0.0245551, 0.024614, 0.0245578, 0.0245097, 0.0245685, 0.0245512,
23751  0.0245946, 0.0245864, 0.0246092, 0.0246111, 0.0246373, 0.0246419,
23752  0.0246431, 0.0246557, 0.0246208, 0.0246883, 0.0246278, 0.0246759,
23753  0.0246571, 0.0247058, 0.0246693, 0.0246218, 0.0246496, 0.0247333,
23754  0.0246254, 0.0247075, 0.0247289, 0.024687, 0.0246749, 0.0246762,
23755  0.0247391, 0.0246807, 0.0247221, 0.0247226, 0.0246547, 0.0247072,
23756  0.0246445, 0.0246692, 0.0246954, 0.0247125, 0.0246821, 0.0247018,
23757  0.0246155, 0.0246646, 0.0246371, 0.0246286, 0.024629, 0.0246403,
23758  0.0246483, 0.0246198, 0.024638, 0.0245691, 0.0246153, 0.0246,
23759  0.0245247, 0.0246009, 0.0246039, 0.024589, 0.0245131, 0.0246006,
23760  0.0245695, 0.0246103, 0.0245424, 0.0245458, 0.0245425, 0.0245107,
23761  0.0245155, 0.0244924, 0.0245147, 0.0245859, 0.0308098, 0.0309447,
23762  0.0309015, 0.030914, 0.0308884, 0.0309297, 0.0309327, 0.0309622,
23763  0.0310126, 0.0309409, 0.0310316, 0.0309704, 0.0309315, 0.030965,
23764  0.0309912, 0.0310122, 0.0309928, 0.0309379, 0.0310337, 0.0310267,
23765  0.0310865, 0.0310776, 0.0310434, 0.0310798, 0.0311188, 0.0311138,
23766  0.0310582, 0.0311588, 0.0311725, 0.0311297, 0.031116, 0.0311878,
23767  0.0311746, 0.0311452, 0.0311945, 0.0311875, 0.0312021, 0.0312228,
23768  0.0311941, 0.0312016, 0.0312347, 0.0311791, 0.0312052, 0.0312332,
23769  0.0312288, 0.0311506, 0.0311271, 0.031175, 0.0312052, 0.0311306,
23770  0.0311668, 0.0311225, 0.0311316, 0.0310732, 0.0310934, 0.030993,
23771  0.031067, 0.031054, 0.0310303, 0.031099, 0.0310577, 0.0310362,
23772  0.0310104, 0.0310115, 0.0310016, 0.0309824, 0.0309775, 0.0309014,
23773  0.03094, 0.0309852, 0.0309583, 0.0308822, 0.0309584, 0.0309682,
23774  0.0309556, 0.0309494, 0.0309119, 0.0308999, 0.0309662, 0.0309949,
23775  0.0377621, 0.0378157, 0.0378293, 0.0379335, 0.0377838, 0.0378913,
23776  0.0377476, 0.0378607, 0.0378406, 0.0379161, 0.0378938, 0.037902,
23777  0.0378067, 0.0379264, 0.0378949, 0.0379536, 0.0377894, 0.0379188,
23778  0.0379995, 0.0379025, 0.0380255, 0.0379919, 0.038056, 0.0380944,
23779  0.0380701, 0.0380241, 0.0381385, 0.0380797, 0.0380457, 0.0381339,
23780  0.0381613, 0.0381655, 0.0380905, 0.0381743, 0.0381632, 0.0380732,
23781  0.0380887, 0.0382506, 0.0382303, 0.0382078, 0.0381861, 0.038214,
23782  0.0381545, 0.0381484, 0.038151, 0.0381857, 0.0381998, 0.0381682,
23783  0.0382391, 0.0381136, 0.0380839, 0.0381267, 0.0380997, 0.038156,
23784  0.0380772, 0.0379933, 0.037912, 0.0380091, 0.038017, 0.0379917,
23785  0.0380263, 0.0379252, 0.0380032, 0.0379516, 0.0378901, 0.0379118,
23786  0.037953, 0.0378954, 0.0378626, 0.0378731, 0.0378712, 0.0378088,
23787  0.0379126, 0.0377861, 0.0378294, 0.0378285, 0.03784, 0.0378101,
23788  0.0378431, 0.0377786, 0.0451255, 0.0450073, 0.0452006, 0.0450336,
23789  0.0452242, 0.045095, 0.045053, 0.0452338, 0.0451541, 0.0452418,
23790  0.0452448, 0.0452151, 0.0452368, 0.045299, 0.0452082, 0.0453581,
23791  0.0453672, 0.045363, 0.0453768, 0.0454046, 0.0454061, 0.0456082,
23792  0.0455148, 0.0454683, 0.0453848, 0.0454313, 0.0454938, 0.0455968,
23793  0.0456185, 0.0456021, 0.0455644, 0.0456273, 0.0455926, 0.0455491,
23794  0.0456993, 0.045612, 0.0456822, 0.045689, 0.0456322, 0.0456547,
23795  0.0456624, 0.0457108, 0.0457794, 0.0455823, 0.0457386, 0.0455735,
23796  0.0456082, 0.0456791, 0.045681, 0.0455689, 0.0455319, 0.045535,
23797  0.0454549, 0.0456635, 0.0454553, 0.0455167, 0.0454793, 0.0453638,
23798  0.0455033, 0.0453443, 0.0453935, 0.0453687, 0.0452547, 0.0452521,
23799  0.0452563, 0.0452906, 0.0452113, 0.0451579, 0.0452563, 0.0451205,
23800  0.0452086, 0.0452849, 0.0451453, 0.0451259, 0.0451857, 0.0450397,
23801  0.0451468, 0.0450587, 0.0451335, 0.0451552, 0.0528191, 0.0527661,
23802  0.0528942, 0.0529716, 0.0529422, 0.0527245, 0.0529487, 0.0529575,
23803  0.0529174, 0.0530089, 0.0529201, 0.0530555, 0.0531489, 0.0530318,
23804  0.0529994, 0.0530753, 0.0530944, 0.0531801, 0.0530787, 0.0531413,
23805  0.0531557, 0.0532221, 0.0533868, 0.0533014, 0.0534722, 0.0533472,
23806  0.0534844, 0.0533735, 0.0533826, 0.0534745, 0.0535752, 0.0535031,
23807  0.0535767, 0.0535405, 0.0534837, 0.0536194, 0.0535721, 0.0536572,
23808  0.053582, 0.0535618, 0.0535065, 0.053518, 0.0536995, 0.0535489,
23809  0.0535576, 0.0535256, 0.0534966, 0.0535035, 0.0534314, 0.0535611,
23810  0.0534829, 0.0535382, 0.0533403, 0.0533697, 0.053343, 0.0532678,
23811  0.053272, 0.0533117, 0.0534535, 0.0530623, 0.0531805, 0.0532434,
23812  0.0531962, 0.0532183, 0.0532015, 0.0530612, 0.0530242, 0.0530055,
23813  0.0528984, 0.0530097, 0.0529472, 0.052856, 0.0529018, 0.0528194,
23814  0.0529746, 0.0528625, 0.0530738, 0.0526917, 0.0528953, 0.0527962,
23815  0.060974, 0.0609927, 0.0609256, 0.0609767, 0.061043, 0.060913,
23816  0.061006, 0.0611178, 0.061064, 0.0611063, 0.0612158, 0.0611727,
23817  0.0611654, 0.0612089, 0.0611936, 0.0611147, 0.0612295, 0.0613538,
23818  0.0614262, 0.061313, 0.0613366, 0.0614506, 0.0614373, 0.061528,
23819  0.0616226, 0.0616413, 0.0617347, 0.0615399, 0.0617519, 0.0619402,
23820  0.0616573, 0.0618888, 0.0618636, 0.061745, 0.0617633, 0.0617012,
23821  0.0618026, 0.0617328, 0.0618781, 0.0618037, 0.0617667, 0.0616775,
23822  0.0619345, 0.0619155, 0.0617298, 0.061838, 0.0617313, 0.0618773,
23823  0.0618217, 0.0618361, 0.061729, 0.0616672, 0.0617137, 0.0615917,
23824  0.0615967, 0.0617427, 0.0615006, 0.0614644, 0.0614091, 0.0613824,
23825  0.0613641, 0.0614655, 0.0613054, 0.0611853, 0.061157, 0.0612543,
23826  0.0611216, 0.0611727, 0.0610144, 0.0610888, 0.0610575, 0.0610049,
23827  0.0609481, 0.0611223, 0.0610644, 0.0611917, 0.0609508, 0.0609077,
23828  0.06095, 0.0610232, 0.0694786, 0.0693852, 0.0693181, 0.0693741,
23829  0.06936, 0.0696281, 0.0693993, 0.0694348, 0.0695488, 0.0696784,
23830  0.0694405, 0.0695579, 0.0697345, 0.0696758, 0.0697005, 0.0696883,
23831  0.0696792, 0.0696925, 0.0699232, 0.0697703, 0.0700849, 0.0700582,
23832  0.0700269, 0.0702546, 0.0700205, 0.0701425, 0.0702885, 0.0702527,
23833  0.0702538, 0.0702767, 0.0704635, 0.0703743, 0.0703633, 0.0703369,
23834  0.070449, 0.0706275, 0.0705528, 0.070401, 0.0704037, 0.0703156,
23835  0.0704754, 0.0706439, 0.0704853, 0.0704418, 0.0705204, 0.0704574,
23836  0.0704487, 0.0704102, 0.0702729, 0.0703076, 0.0703705, 0.07025,
23837  0.0702531, 0.0702096, 0.0701928, 0.0700822, 0.0700456, 0.0698756,
23838  0.0699179, 0.0699785, 0.0698412, 0.0697936, 0.0699575, 0.0697253,
23839  0.0698054, 0.0696071, 0.0694805, 0.0696292, 0.069688, 0.0695034,
23840  0.0695301, 0.0695362, 0.0695858, 0.0694535, 0.0693993, 0.0694626,
23841  0.0694603, 0.0693806, 0.069553, 0.0694702, 0.0781007, 0.078188,
23842  0.0780061, 0.0780595, 0.0780572, 0.0780313, 0.0782341, 0.0781846,
23843  0.0783409, 0.078249, 0.0783016, 0.0782776, 0.0784366, 0.0783497,
23844  0.078395, 0.0784683, 0.0786852, 0.078628, 0.078649, 0.0788072,
23845  0.0786349, 0.0787123, 0.0786551, 0.078938, 0.0789167, 0.078999,
23846  0.0792572, 0.07902, 0.0791329, 0.0790886, 0.0793453, 0.079399,
23847  0.0791813, 0.0794257, 0.0792705, 0.07951, 0.0793861, 0.0793925,
23848  0.0794299, 0.0791988, 0.079285, 0.079627, 0.0793365, 0.0793491,
23849  0.079335, 0.0794185, 0.079192, 0.0793716, 0.0791512, 0.0791077,
23850  0.0790799, 0.0790795, 0.0791428, 0.079052, 0.0790311, 0.0790715,
23851  0.0788629, 0.0788621, 0.0788393, 0.0787973, 0.078792, 0.078681,
23852  0.0786326, 0.0786219, 0.0786105, 0.0784591, 0.0783985, 0.0783497,
23853  0.0784713, 0.0782711, 0.0781666, 0.0781499, 0.0780507, 0.0781163,
23854  0.0781869, 0.0780458, 0.0780244, 0.0782704, 0.0779573, 0.0779299,
23855  0.0870171, 0.0869897, 0.0871685, 0.0871845, 0.087056, 0.0870716,
23856  0.0871315, 0.0870686, 0.0872451, 0.087035, 0.0872413, 0.0871586,
23857  0.0872829, 0.0873488, 0.0874766, 0.0878388, 0.0874735, 0.0877473,
23858  0.0877126, 0.087652, 0.0876966, 0.0878968, 0.0878994, 0.0879364,
23859  0.0879688, 0.088301, 0.08823, 0.0881713, 0.0881892, 0.0882807,
23860  0.0883284, 0.0885553, 0.0885782, 0.0884253, 0.0885946, 0.0883658,
23861  0.0883521, 0.0885397, 0.0885961, 0.0888485, 0.0884836, 0.0885789,
23862  0.0884405, 0.088601, 0.0885511, 0.0885286, 0.088487, 0.0882224,
23863  0.0884722, 0.088354, 0.0883082, 0.0881847, 0.0882499, 0.0882575,
23864  0.0881957, 0.0881057, 0.0879757, 0.0879997, 0.0878937, 0.0876276,
23865  0.087684, 0.0876977, 0.0875525, 0.0875608, 0.0876085, 0.0874224,
23866  0.087382, 0.0874815, 0.0873915, 0.087133, 0.0871856, 0.0871239,
23867  0.0872867, 0.0869996, 0.0869176, 0.0868223, 0.0869912, 0.0872497,
23868  0.0871254, 0.0869847, 0.0961105, 0.095932, 0.0961341, 0.096332,
23869  0.0961886, 0.0961554, 0.0963308, 0.0963598, 0.0963068, 0.0962298,
23870  0.0963556, 0.0963583, 0.0969753, 0.0966496, 0.096576, 0.0966565,
23871  0.0969127, 0.0969794, 0.0969383, 0.0971876, 0.0970202, 0.0972281,
23872  0.0972711, 0.0974012, 0.0973577, 0.0974065, 0.0975895, 0.0978488,
23873  0.0977718, 0.0977299, 0.0977588, 0.0979495, 0.0978515, 0.0978641,
23874  0.0980132, 0.0979117, 0.0978244, 0.097882, 0.0979922, 0.0978599,
23875  0.0978435, 0.0977737, 0.0978759, 0.0981687, 0.097866, 0.0980978,
23876  0.097752, 0.097993, 0.0978709, 0.0976833, 0.0975392, 0.0975628,
23877  0.0975922, 0.0974706, 0.0975365, 0.0973112, 0.0972437, 0.097328,
23878  0.0971937, 0.0971693, 0.0971236, 0.0970004, 0.0968445, 0.0967831,
23879  0.0970157, 0.0966824, 0.0966477, 0.0965402, 0.0963636, 0.0964273,
23880  0.0962771, 0.0963819, 0.0962969, 0.0963373, 0.0961185, 0.0960864,
23881  0.0963469, 0.0959629, 0.0962332, 0.0963023, 0.105484, 0.105719,
23882  0.105336, 0.105613, 0.105651, 0.105665, 0.105804, 0.105638,
23883  0.10578, 0.105937, 0.105864, 0.105696, 0.105955, 0.10608,
23884  0.10594, 0.105988, 0.106227, 0.106235, 0.10639, 0.106409,
23885  0.106519, 0.106671, 0.106731, 0.106825, 0.106957, 0.107058,
23886  0.107012, 0.107131, 0.107131, 0.10747, 0.107275, 0.107271,
23887  0.107306, 0.107482, 0.10759, 0.107537, 0.107582, 0.107474,
23888  0.107867, 0.107529, 0.107639, 0.107403, 0.107864, 0.107433,
23889  0.107491, 0.107657, 0.107381, 0.107412, 0.107332, 0.107346,
23890  0.107201, 0.107325, 0.107054, 0.106848, 0.107069, 0.106991,
23891  0.106717, 0.106647, 0.106513, 0.106651, 0.106563, 0.106151,
23892  0.106454, 0.106461, 0.10614, 0.105973, 0.105913, 0.106139,
23893  0.105999, 0.105613, 0.105397, 0.105774, 0.105354, 0.105564,
23894  0.105373, 0.105393, 0.105518, 0.105752, 0.105019, 0.105415,
23895  0.115013, 0.115189, 0.114957, 0.115046, 0.115104, 0.115147,
23896  0.115138, 0.115189, 0.115215, 0.115338, 0.115347, 0.115451,
23897  0.115335, 0.115583, 0.115644, 0.115753, 0.11558, 0.116132,
23898  0.116065, 0.116358, 0.116265, 0.116312, 0.116297, 0.116492,
23899  0.116517, 0.116909, 0.116603, 0.116801, 0.116885, 0.116905,
23900  0.116952, 0.116996, 0.116943, 0.117081, 0.116971, 0.117679,
23901  0.117306, 0.117223, 0.117259, 0.117433, 0.117248, 0.117397,
23902  0.117114, 0.117078, 0.117358, 0.117336, 0.117444, 0.11691,
23903  0.11721, 0.117036, 0.11683, 0.117235, 0.116543, 0.116804,
23904  0.116664, 0.116562, 0.116531, 0.116183, 0.116177, 0.116137,
23905  0.11614, 0.116052, 0.115864, 0.11593, 0.115749, 0.115778,
23906  0.115206, 0.115544, 0.115391, 0.115346, 0.115229, 0.115243,
23907  0.115231, 0.115084, 0.115187, 0.114923, 0.114943, 0.114948,
23908  0.115293, 0.114981, 0.124443, 0.1243, 0.124355, 0.124581,
23909  0.124639, 0.124737, 0.124627, 0.124676, 0.124891, 0.124854,
23910  0.124843, 0.124937, 0.124997, 0.125114, 0.125348, 0.125151,
23911  0.125537, 0.125503, 0.125991, 0.125872, 0.125879, 0.126079,
23912  0.126232, 0.126458, 0.126387, 0.126728, 0.126425, 0.126583,
23913  0.126536, 0.126638, 0.12662, 0.126894, 0.12708, 0.127034,
23914  0.126968, 0.127098, 0.126842, 0.127281, 0.127186, 0.127046,
23915  0.127118, 0.127316, 0.126977, 0.127128, 0.126868, 0.126799,
23916  0.126818, 0.126859, 0.126778, 0.126751, 0.126696, 0.126564,
23917  0.1268, 0.126579, 0.126418, 0.126202, 0.126037, 0.125946,
23918  0.126108, 0.12599, 0.125724, 0.125526, 0.125525, 0.12569,
23919  0.125231, 0.125313, 0.125225, 0.124976, 0.124941, 0.125145,
23920  0.124879, 0.124832, 0.124946, 0.124947, 0.124677, 0.124588,
23921  0.124489, 0.124783, 0.124626, 0.124138, 0.134398, 0.134483,
23922  0.134141, 0.134157, 0.134309, 0.134693, 0.134327, 0.13462,
23923  0.134095, 0.134563, 0.134826, 0.13502, 0.135194, 0.134937,
23924  0.135186, 0.135023, 0.135084, 0.135409, 0.135596, 0.13553,
23925  0.135668, 0.136044, 0.136005, 0.136077, 0.136492, 0.13627,
23926  0.136017, 0.13657, 0.136388, 0.136512, 0.136414, 0.1368,
23927  0.136857, 0.136815, 0.136511, 0.137207, 0.137042, 0.136902,
23928  0.136949, 0.13716, 0.136932, 0.137, 0.137337, 0.13698,
23929  0.137181, 0.1372, 0.13673, 0.136704, 0.136392, 0.136791,
23930  0.136422, 0.136332, 0.136667, 0.1366, 0.136298, 0.13606,
23931  0.135922, 0.135941, 0.135968, 0.13593, 0.135549, 0.135519,
23932  0.135395, 0.135141, 0.135386, 0.135016, 0.13481, 0.135094,
23933  0.134724, 0.134503, 0.134547, 0.134375, 0.134381, 0.134425,
23934  0.134323, 0.13425, 0.134007, 0.134432, 0.134246, 0.134266,
23935  0.144184, 0.143834, 0.144111, 0.144286, 0.144043, 0.144192,
23936  0.144206, 0.144335, 0.144472, 0.144535, 0.144614, 0.144601,
23937  0.144676, 0.144489, 0.14537, 0.145179, 0.14537, 0.145263,
23938  0.145396, 0.145461, 0.145551, 0.145596, 0.145825, 0.145936,
23939  0.14587, 0.146055, 0.146045, 0.146625, 0.146755, 0.14648,
23940  0.146312, 0.146806, 0.146692, 0.147054, 0.14691, 0.146897,
23941  0.147179, 0.146698, 0.14698, 0.147056, 0.147018, 0.147021,
23942  0.147142, 0.147017, 0.146936, 0.146669, 0.14694, 0.146492,
23943  0.146794, 0.146728, 0.146529, 0.146592, 0.146186, 0.145893,
23944  0.146067, 0.146058, 0.145707, 0.145942, 0.145968, 0.145893,
23945  0.14572, 0.145418, 0.145165, 0.145105, 0.145307, 0.145106,
23946  0.14535, 0.144692, 0.144607, 0.144461, 0.144309, 0.144273,
23947  0.144411, 0.144285, 0.144326, 0.144181, 0.143807, 0.144283,
23948  0.144114, 0.144115, 0.154011, 0.153989, 0.15431, 0.15395,
23949  0.153918, 0.154319, 0.154229, 0.153905, 0.154443, 0.154192,
23950  0.154198, 0.154874, 0.154752, 0.154748, 0.154579, 0.155004,
23951  0.155323, 0.155185, 0.155538, 0.156174, 0.155831, 0.156126,
23952  0.155939, 0.155754, 0.156092, 0.156452, 0.156516, 0.15604,
23953  0.156631, 0.156651, 0.15694, 0.156511, 0.156519, 0.157116,
23954  0.156707, 0.156786, 0.157103, 0.156754, 0.156888, 0.156971,
23955  0.156828, 0.157087, 0.156705, 0.157044, 0.157081, 0.156712,
23956  0.15703, 0.156601, 0.156798, 0.156811, 0.156606, 0.156691,
23957  0.156437, 0.156272, 0.156255, 0.156169, 0.155891, 0.155713,
23958  0.155463, 0.155922, 0.155458, 0.15542, 0.155114, 0.155037,
23959  0.15478, 0.154796, 0.154755, 0.154506, 0.154811, 0.154753,
23960  0.15452, 0.154493, 0.154019, 0.154082, 0.154215, 0.153792,
23961  0.153987, 0.153651, 0.154229, 0.154056, 0.163875, 0.163734,
23962  0.163981, 0.163237, 0.163629, 0.164059, 0.164327, 0.164231,
23963  0.16394, 0.164218, 0.164639, 0.164259, 0.164332, 0.164802,
23964  0.164969, 0.164826, 0.164878, 0.165346, 0.166071, 0.165323,
23965  0.165763, 0.165413, 0.166047, 0.165672, 0.165795, 0.165966,
23966  0.166072, 0.166147, 0.166251, 0.166912, 0.166569, 0.166832,
23967  0.16672, 0.166982, 0.166781, 0.166642, 0.16726, 0.166867,
23968  0.166788, 0.166977, 0.166942, 0.167279, 0.167004, 0.166776,
23969  0.166759, 0.166918, 0.166939, 0.167219, 0.166714, 0.166595,
23970  0.166742, 0.166826, 0.166037, 0.166664, 0.166565, 0.166019,
23971  0.166059, 0.165744, 0.165538, 0.165404, 0.165602, 0.165186,
23972  0.165327, 0.16543, 0.164884, 0.16478, 0.164479, 0.164534,
23973  0.164417, 0.164241, 0.164287, 0.164245, 0.16401, 0.164493,
23974  0.163762, 0.16416, 0.164199, 0.164065, 0.164159, 0.163991,
23975  0.17411, 0.174227, 0.173852, 0.173813, 0.173728, 0.174298,
23976  0.173957, 0.174084, 0.174562, 0.174228, 0.174115, 0.174603,
23977  0.174168, 0.174727, 0.175199, 0.175028, 0.1751, 0.174942,
23978  0.175256, 0.17542, 0.175643, 0.175642, 0.175993, 0.175929,
23979  0.176207, 0.176335, 0.176022, 0.176435, 0.176293, 0.176635,
23980  0.176883, 0.177029, 0.176857, 0.176949, 0.176813, 0.176965,
23981  0.176743, 0.177257, 0.176939, 0.17711, 0.176241, 0.176984,
23982  0.177023, 0.177299, 0.177302, 0.176775, 0.176989, 0.176876,
23983  0.17661, 0.176651, 0.176309, 0.176341, 0.176336, 0.175947,
23984  0.176367, 0.176298, 0.1764, 0.175704, 0.175641, 0.175555,
23985  0.175614, 0.175318, 0.175211, 0.175458, 0.175121, 0.174481,
23986  0.174977, 0.17481, 0.174318, 0.174371, 0.174578, 0.174276,
23987  0.173916, 0.173752, 0.173567, 0.173982, 0.173497, 0.173345,
23988  0.173926, 0.174241, 0.183975, 0.183947, 0.183678, 0.18343,
23989  0.184357, 0.184322, 0.184149, 0.183904, 0.183815, 0.184327,
23990  0.184498, 0.184331, 0.184592, 0.184606, 0.185039, 0.184698,
23991  0.185176, 0.185524, 0.185167, 0.185546, 0.185588, 0.185172,
23992  0.185839, 0.185933, 0.186324, 0.186019, 0.185842, 0.186817,
23993  0.186527, 0.186784, 0.186659, 0.18649, 0.186668, 0.186954,
23994  0.187112, 0.187097, 0.187049, 0.187021, 0.187212, 0.186983,
23995  0.186798, 0.186796, 0.187111, 0.186674, 0.187101, 0.186772,
23996  0.186651, 0.186809, 0.18616, 0.186877, 0.186597, 0.186888,
23997  0.186528, 0.186182, 0.1863, 0.186274, 0.186059, 0.186062,
23998  0.18591, 0.18542, 0.18568, 0.185354, 0.185151, 0.185004,
23999  0.184983, 0.185214, 0.184772, 0.185078, 0.184544, 0.184638,
24000  0.184625, 0.184316, 0.183942, 0.184142, 0.184324, 0.183913,
24001  0.183617, 0.183695, 0.18348, 0.183906, 0.193842, 0.193653,
24002  0.194212, 0.194404, 0.194386, 0.193663, 0.194252, 0.194512,
24003  0.194441, 0.194428, 0.194509, 0.194027, 0.194938, 0.194839,
24004  0.194624, 0.194873, 0.195236, 0.19517, 0.194745, 0.195234,
24005  0.195678, 0.19593, 0.196422, 0.195992, 0.196394, 0.196622,
24006  0.196473, 0.196357, 0.196661, 0.196354, 0.19709, 0.197104,
24007  0.197101, 0.196632, 0.195909, 0.196679, 0.19654, 0.196789,
24008  0.196991, 0.196676, 0.197121, 0.197059, 0.197072, 0.196745,
24009  0.196801, 0.196974, 0.196512, 0.196598, 0.196533, 0.196682,
24010  0.196397, 0.196199, 0.196092, 0.196745, 0.196073, 0.196129,
24011  0.196083, 0.19604, 0.196063, 0.195451, 0.19569, 0.195671,
24012  0.195344, 0.194946, 0.195085, 0.195143, 0.194784, 0.194834,
24013  0.194966, 0.194587, 0.194129, 0.194471, 0.193977, 0.194293,
24014  0.193804, 0.193881, 0.194042, 0.194566, 0.193846, 0.193921,
24015  0.204606, 0.204059, 0.204172, 0.204346, 0.204479, 0.204238,
24016  0.204529, 0.204149, 0.204397, 0.204638, 0.204301, 0.205061,
24017  0.204756, 0.205162, 0.205129, 0.205686, 0.205366, 0.205342,
24018  0.205496, 0.205382, 0.205227, 0.205713, 0.206309, 0.205929,
24019  0.205458, 0.206233, 0.206419, 0.20602, 0.206587, 0.20689,
24020  0.206673, 0.206336, 0.206756, 0.206068, 0.207428, 0.206916,
24021  0.206567, 0.206479, 0.206925, 0.206885, 0.206959, 0.207304,
24022  0.206827, 0.206609, 0.206309, 0.206609, 0.206235, 0.206405,
24023  0.206413, 0.20615, 0.206661, 0.206677, 0.206518, 0.206604,
24024  0.206116, 0.206041, 0.206144, 0.20577, 0.20595, 0.205666,
24025  0.205789, 0.205565, 0.205504, 0.205199, 0.204954, 0.204991,
24026  0.204856, 0.204695, 0.204637, 0.204565, 0.204367, 0.204391,
24027  0.204371, 0.204182, 0.203944, 0.203951, 0.204318, 0.204242,
24028  0.204786, 0.203736, 0.2147, 0.214238, 0.214198, 0.214434,
24029  0.214208, 0.214611, 0.214501, 0.214433, 0.214665, 0.214449,
24030  0.215428, 0.214866, 0.21519, 0.215242, 0.214781, 0.215138,
24031  0.215553, 0.215097, 0.215654, 0.215763, 0.215961, 0.216076,
24032  0.215809, 0.216004, 0.216028, 0.216637, 0.216452, 0.216343,
24033  0.2162, 0.216179, 0.216411, 0.216655, 0.217307, 0.216624,
24034  0.216503, 0.21648, 0.21628, 0.216552, 0.216181, 0.216724,
24035  0.216964, 0.216582, 0.216581, 0.216746, 0.216284, 0.21683,
24036  0.216645, 0.216912, 0.216405, 0.216253, 0.21646, 0.216214,
24037  0.216551, 0.216119, 0.216771, 0.215982, 0.216219, 0.216139,
24038  0.215786, 0.215888, 0.215557, 0.215999, 0.215521, 0.215296,
24039  0.215197, 0.215132, 0.21491, 0.214938, 0.21477, 0.214706,
24040  0.214549, 0.214623, 0.214317, 0.214685, 0.214198, 0.214736,
24041  0.214496, 0.214285, 0.215373, 0.213744, 0.224776, 0.224575,
24042  0.224129, 0.22458, 0.22494, 0.224717, 0.224468, 0.224471,
24043  0.224682, 0.224917, 0.22551, 0.22553, 0.224806, 0.224772,
24044  0.225397, 0.225194, 0.225393, 0.22589, 0.226318, 0.225373,
24045  0.226, 0.225773, 0.226254, 0.225663, 0.225231, 0.226672,
24046  0.225841, 0.226216, 0.226279, 0.226047, 0.226045, 0.226283,
24047  0.22661, 0.226117, 0.225855, 0.225956, 0.225855, 0.226655,
24048  0.226624, 0.226267, 0.226743, 0.226352, 0.226718, 0.226303,
24049  0.22617, 0.225957, 0.226827, 0.226645, 0.226028, 0.225862,
24050  0.22592, 0.226194, 0.226428, 0.22647, 0.226406, 0.226057,
24051  0.226145, 0.225811, 0.225825, 0.225513, 0.225966, 0.225798,
24052  0.226152, 0.22562, 0.225705, 0.225511, 0.225363, 0.225095,
24053  0.225189, 0.225129, 0.225061, 0.224809, 0.224911, 0.224302,
24054  0.22483, 0.224316, 0.225214, 0.224363, 0.224196, 0.224315,
24055  0.234622, 0.234719, 0.234688, 0.234772, 0.234981, 0.234429,
24056  0.235109, 0.234967, 0.234733, 0.235027, 0.235415, 0.235136,
24057  0.235766, 0.235497, 0.235897, 0.23526, 0.235574, 0.235778,
24058  0.235559, 0.235894, 0.235786, 0.236411, 0.236981, 0.236278,
24059  0.23597, 0.236074, 0.236165, 0.236122, 0.235965, 0.23658,
24060  0.236147, 0.235471, 0.236405, 0.23554, 0.23567, 0.235952,
24061  0.236079, 0.236143, 0.236042, 0.236002, 0.235802, 0.236429,
24062  0.236004, 0.236103, 0.236075, 0.236018, 0.236187, 0.236143,
24063  0.23672, 0.236047, 0.235902, 0.236208, 0.235669, 0.236429,
24064  0.235747, 0.236226, 0.236309, 0.235833, 0.235933, 0.235531,
24065  0.235401, 0.236117, 0.235109, 0.235255, 0.235829, 0.235424,
24066  0.235676, 0.23561, 0.235424, 0.235143, 0.234891, 0.234981,
24067  0.23488, 0.234917, 0.234906, 0.234916, 0.235051, 0.234988,
24068  0.234871, 0.23481, 0.244961, 0.2454, 0.245084, 0.245804,
24069  0.245522, 0.245314, 0.245449, 0.245379, 0.245221, 0.245702,
24070  0.245423, 0.246258, 0.245276, 0.245514, 0.245447, 0.246112,
24071  0.244887, 0.245784, 0.246503, 0.245721, 0.245947, 0.245276,
24072  0.246246, 0.245829, 0.24628, 0.245935, 0.245579, 0.246251,
24073  0.245878, 0.246069, 0.24586, 0.245523, 0.245817, 0.245696,
24074  0.2458, 0.245587, 0.245744, 0.246455, 0.245711, 0.246051,
24075  0.245581, 0.245403, 0.245844, 0.245369, 0.245819, 0.245764,
24076  0.245785, 0.245335, 0.246051, 0.245573, 0.246208, 0.245795,
24077  0.245451, 0.245727, 0.245543, 0.246394, 0.246543, 0.24564,
24078  0.245804, 0.246051, 0.245936, 0.245738, 0.2457, 0.246102,
24079  0.245898, 0.246281, 0.245308, 0.245973, 0.246135, 0.245462,
24080  0.245553, 0.24577, 0.245476, 0.24563, 0.245554, 0.245047,
24081  0.245074, 0.245379, 0.245135, 0.244874, 0.254952, 0.255507,
24082  0.255992, 0.2555, 0.255196, 0.255761, 0.255393, 0.255827,
24083  0.255855, 0.255904, 0.25585, 0.256472, 0.255908, 0.256118,
24084  0.256134, 0.255924, 0.255646, 0.25556, 0.256153, 0.256357,
24085  0.255936, 0.256243, 0.256188, 0.256184, 0.255972, 0.255815,
24086  0.255771, 0.254893, 0.255447, 0.255804, 0.255691, 0.255371,
24087  0.255207, 0.255633, 0.2557, 0.255437, 0.25523, 0.255476,
24088  0.25558, 0.255435, 0.255334, 0.255887, 0.255632, 0.255171,
24089  0.255758, 0.255587, 0.255868, 0.255836, 0.255829, 0.255763,
24090  0.255391, 0.256202, 0.256479, 0.255667, 0.255013, 0.256134,
24091  0.255801, 0.256322, 0.255896, 0.25602, 0.255922, 0.2568,
24092  0.255565, 0.256136, 0.256123, 0.256093, 0.255917, 0.255866,
24093  0.256219, 0.256427, 0.256449, 0.255846, 0.255618, 0.25509,
24094  0.255936, 0.255906, 0.255741, 0.25581, 0.256008, 0.25505,
24095  0.265997, 0.266427, 0.266184, 0.266465, 0.26679, 0.266172,
24096  0.266848, 0.266152, 0.266227, 0.266177, 0.266865, 0.266417,
24097  0.266928, 0.266018, 0.266333, 0.266053, 0.266052, 0.267073,
24098  0.266136, 0.266129, 0.266067, 0.266555, 0.265433, 0.26572,
24099  0.265458, 0.265832, 0.266038, 0.266117, 0.265571, 0.264987,
24100  0.265247, 0.265325, 0.265077, 0.265634, 0.265253, 0.264624,
24101  0.265116, 0.2648, 0.265071, 0.265043, 0.265415, 0.264753,
24102  0.264989, 0.264787, 0.264726, 0.264987, 0.265129, 0.265044,
24103  0.265105, 0.265188, 0.265561, 0.265727, 0.266172, 0.266006,
24104  0.265957, 0.266691, 0.2665, 0.266195, 0.265793, 0.265643,
24105  0.266389, 0.266826, 0.266205, 0.266161, 0.266748, 0.266821,
24106  0.266256, 0.266069, 0.26607, 0.265903, 0.266454, 0.266273,
24107  0.26668, 0.266746, 0.266413, 0.266127, 0.266759, 0.265516,
24108  0.26683, 0.266535, 0.276651, 0.277108, 0.277445, 0.27661,
24109  0.276777, 0.276567, 0.277157, 0.277371, 0.276917, 0.277248,
24110  0.276787, 0.277371, 0.276967, 0.276886, 0.27658, 0.277187,
24111  0.276319, 0.277302, 0.276418, 0.276657, 0.277031, 0.27651,
24112  0.275994, 0.276043, 0.276008, 0.276011, 0.275545, 0.275759,
24113  0.275325, 0.275478, 0.275383, 0.27448, 0.275278, 0.274577,
24114  0.274329, 0.274126, 0.274473, 0.274175, 0.274004, 0.274047,
24115  0.274064, 0.274568, 0.274694, 0.27488, 0.274659, 0.274333,
24116  0.275142, 0.274858, 0.274714, 0.274929, 0.275176, 0.274998,
24117  0.276324, 0.275769, 0.275912, 0.276289, 0.27642, 0.276349,
24118  0.276514, 0.276559, 0.276327, 0.276323, 0.276835, 0.27714,
24119  0.277104, 0.277259, 0.277095, 0.276841, 0.27673, 0.276923,
24120  0.276683, 0.277157, 0.27713, 0.276651, 0.277167, 0.276708,
24121  0.276968, 0.277122, 0.277273, 0.277299, 0.288214, 0.288354,
24122  0.287195, 0.287577, 0.28771, 0.288059, 0.288047, 0.287338,
24123  0.288013, 0.287847, 0.287583, 0.287517, 0.287346, 0.288104,
24124  0.287965, 0.287481, 0.28681, 0.287099, 0.28674, 0.287054,
24125  0.286673, 0.286326, 0.287798, 0.286178, 0.285742, 0.285917,
24126  0.285945, 0.285546, 0.285086, 0.285307, 0.28474, 0.285807,
24127  0.284468, 0.284815, 0.284227, 0.284553, 0.28418, 0.283617,
24128  0.284318, 0.283632, 0.284132, 0.283742, 0.283982, 0.284068,
24129  0.284837, 0.283639, 0.284568, 0.284922, 0.285047, 0.285215,
24130  0.284676, 0.284971, 0.285142, 0.285897, 0.286186, 0.285995,
24131  0.286646, 0.28616, 0.286814, 0.287294, 0.286144, 0.287195,
24132  0.287431, 0.286785, 0.287917, 0.287121, 0.288379, 0.28763,
24133  0.287581, 0.288117, 0.28769, 0.287495, 0.288026, 0.288527,
24134  0.288551, 0.287787, 0.287451, 0.288059, 0.288137, 0.287593,
24135  0.298802, 0.2986, 0.298815, 0.299002, 0.299033, 0.298651,
24136  0.298808, 0.299309, 0.299091, 0.298869, 0.299419, 0.298596,
24137  0.298672, 0.297943, 0.298575, 0.297952, 0.29822, 0.297891,
24138  0.297451, 0.297628, 0.297852, 0.297352, 0.296765, 0.296902,
24139  0.296311, 0.296008, 0.295316, 0.295689, 0.294964, 0.294859,
24140  0.295505, 0.294175, 0.293628, 0.293695, 0.293881, 0.294642,
24141  0.294755, 0.294158, 0.29249, 0.292997, 0.293691, 0.294092,
24142  0.294492, 0.293401, 0.294291, 0.29443, 0.293413, 0.294382,
24143  0.294604, 0.294815, 0.295039, 0.295819, 0.295408, 0.295645,
24144  0.296093, 0.295625, 0.296533, 0.297183, 0.297221, 0.297708,
24145  0.297628, 0.298119, 0.297674, 0.297046, 0.297879, 0.298291,
24146  0.297576, 0.298938, 0.298639, 0.298821, 0.29878, 0.298988,
24147  0.298979, 0.298641, 0.299711, 0.298636, 0.298992, 0.298518,
24148  0.299057, 0.299114, 0.310174, 0.310135, 0.309991, 0.310479,
24149  0.310699, 0.311092, 0.310229, 0.309866, 0.310023, 0.309704,
24150  0.310036, 0.309679, 0.309334, 0.308216, 0.309315, 0.308921,
24151  0.308611, 0.309353, 0.308567, 0.307888, 0.307763, 0.308526,
24152  0.307402, 0.306999, 0.307079, 0.306327, 0.306264, 0.305652,
24153  0.305541, 0.304698, 0.305008, 0.304441, 0.303779, 0.303725,
24154  0.303801, 0.303807, 0.303781, 0.303968, 0.303944, 0.303195,
24155  0.303664, 0.303524, 0.304207, 0.30392, 0.303771, 0.304369,
24156  0.305108, 0.304275, 0.304569, 0.304922, 0.304806, 0.305387,
24157  0.305863, 0.306319, 0.306014, 0.306442, 0.30701, 0.306941,
24158  0.30774, 0.307026, 0.308051, 0.308485, 0.3088, 0.308905,
24159  0.309154, 0.309261, 0.309577, 0.310029, 0.309764, 0.310072,
24160  0.309936, 0.310381, 0.310595, 0.310651, 0.309984, 0.310889,
24161  0.310775, 0.311134, 0.310608, 0.31057, 0.321956, 0.321823,
24162  0.322576, 0.322112, 0.322096, 0.321812, 0.322567, 0.321554,
24163  0.321654, 0.321174, 0.321531, 0.321761, 0.321131, 0.321149,
24164  0.320951, 0.320302, 0.319764, 0.319884, 0.319783, 0.319344,
24165  0.318954, 0.318207, 0.317845, 0.317892, 0.317065, 0.316966,
24166  0.316424, 0.316821, 0.314921, 0.315161, 0.315064, 0.314767,
24167  0.31465, 0.314018, 0.313885, 0.31255, 0.312907, 0.313104,
24168  0.312227, 0.312915, 0.312686, 0.312551, 0.313144, 0.313159,
24169  0.31354, 0.314004, 0.313554, 0.314126, 0.315436, 0.314953,
24170  0.315678, 0.315423, 0.316334, 0.316591, 0.316716, 0.317199,
24171  0.317391, 0.318325, 0.319246, 0.318858, 0.320045, 0.319426,
24172  0.31991, 0.319838, 0.320393, 0.321583, 0.320982, 0.32132,
24173  0.321554, 0.321173, 0.321758, 0.322129, 0.321871, 0.322513,
24174  0.323334, 0.323106, 0.321802, 0.323253, 0.322433, 0.322748,
24175  0.33534, 0.334224, 0.334323, 0.333879, 0.335011, 0.333495,
24176  0.334174, 0.334078, 0.333725, 0.333548, 0.333928, 0.333153,
24177  0.333342, 0.333202, 0.332131, 0.332389, 0.33159, 0.331349,
24178  0.331171, 0.331741, 0.329988, 0.329872, 0.329069, 0.328657,
24179  0.328188, 0.327497, 0.327753, 0.326691, 0.32545, 0.325885,
24180  0.325587, 0.325011, 0.324519, 0.324183, 0.324183, 0.323903,
24181  0.323244, 0.323263, 0.323199, 0.323527, 0.322858, 0.323122,
24182  0.323351, 0.323607, 0.323713, 0.323835, 0.324466, 0.324728,
24183  0.32496, 0.325311, 0.325841, 0.326691, 0.326971, 0.327151,
24184  0.327475, 0.328372, 0.328498, 0.329217, 0.329653, 0.33003,
24185  0.330494, 0.331325, 0.330983, 0.331587, 0.331539, 0.331782,
24186  0.333137, 0.332619, 0.33264, 0.333328, 0.33409, 0.333262,
24187  0.333003, 0.334563, 0.33381, 0.33438, 0.334161, 0.334316,
24188  0.334305, 0.335029, 0.346528, 0.347053, 0.347367, 0.347104,
24189  0.347091, 0.346513, 0.3472, 0.346629, 0.345984, 0.34647,
24190  0.346018, 0.344814, 0.345161, 0.344583, 0.34447, 0.343509,
24191  0.343937, 0.343547, 0.342227, 0.342261, 0.341534, 0.340513,
24192  0.340259, 0.339575, 0.339049, 0.338518, 0.338453, 0.337427,
24193  0.336802, 0.335911, 0.336209, 0.334912, 0.333896, 0.33416,
24194  0.333906, 0.333206, 0.333868, 0.333641, 0.333574, 0.33283,
24195  0.333165, 0.33357, 0.333017, 0.333619, 0.334006, 0.33413,
24196  0.33473, 0.335092, 0.335421, 0.335555, 0.336815, 0.337396,
24197  0.337504, 0.337735, 0.338928, 0.340044, 0.339406, 0.340207,
24198  0.341791, 0.340128, 0.342164, 0.342898, 0.343004, 0.344267,
24199  0.342816, 0.343515, 0.345047, 0.346043, 0.346122, 0.345987,
24200  0.346172, 0.346295, 0.34625, 0.347571, 0.346632, 0.346134,
24201  0.347385, 0.34692, 0.347281, 0.347117, 0.360495, 0.359964,
24202  0.360082, 0.359958, 0.360239, 0.360017, 0.359508, 0.359294,
24203  0.358758, 0.358999, 0.358443, 0.357845, 0.358245, 0.357906,
24204  0.356312, 0.355909, 0.356335, 0.355322, 0.355032, 0.354194,
24205  0.35368, 0.35223, 0.352487, 0.351154, 0.349844, 0.350131,
24206  0.349201, 0.348024, 0.348177, 0.346622, 0.346715, 0.346293,
24207  0.345503, 0.345929, 0.344904, 0.344829, 0.344189, 0.343599,
24208  0.343996, 0.343451, 0.343885, 0.344112, 0.343509, 0.345245,
24209  0.344241, 0.345125, 0.345101, 0.345406, 0.346997, 0.347219,
24210  0.346973, 0.34728, 0.348423, 0.349106, 0.350055, 0.350683,
24211  0.351298, 0.349766, 0.352901, 0.35302, 0.353986, 0.354594,
24212  0.35601, 0.355649, 0.356474, 0.356241, 0.357415, 0.358375,
24213  0.35807, 0.358266, 0.357634, 0.359346, 0.358719, 0.359524,
24214  0.359461, 0.360006, 0.360196, 0.360477, 0.360127, 0.360007,
24215  0.374099, 0.374167, 0.374026, 0.373706, 0.373739, 0.373456,
24216  0.37255, 0.373818, 0.372269, 0.372217, 0.372754, 0.37112,
24217  0.371247, 0.370877, 0.371292, 0.369555, 0.368234, 0.368031,
24218  0.36696, 0.366575, 0.365086, 0.364666, 0.364671, 0.363385,
24219  0.362389, 0.361764, 0.360099, 0.360696, 0.359598, 0.358403,
24220  0.357758, 0.357488, 0.356849, 0.356419, 0.355232, 0.355326,
24221  0.354485, 0.354291, 0.354524, 0.354579, 0.353471, 0.354337,
24222  0.354371, 0.354379, 0.354696, 0.354953, 0.357553, 0.356976,
24223  0.357542, 0.358619, 0.357292, 0.359105, 0.359507, 0.360817,
24224  0.362574, 0.362712, 0.363106, 0.364575, 0.364839, 0.365297,
24225  0.366749, 0.366639, 0.367899, 0.369063, 0.369056, 0.370951,
24226  0.370457, 0.370333, 0.371246, 0.372588, 0.372038, 0.372884,
24227  0.373378, 0.373556, 0.372268, 0.372595, 0.372759, 0.373549,
24228  0.374494, 0.374173, 0.388336, 0.388778, 0.388446, 0.388328,
24229  0.38731, 0.387844, 0.387386, 0.387043, 0.387676, 0.387516,
24230  0.385994, 0.385159, 0.384538, 0.384141, 0.383935, 0.382616,
24231  0.38177, 0.380843, 0.379854, 0.379266, 0.378178, 0.377993,
24232  0.377399, 0.375114, 0.374311, 0.373805, 0.37269, 0.372044,
24233  0.370555, 0.370391, 0.369915, 0.369502, 0.368406, 0.367564,
24234  0.36647, 0.366324, 0.365896, 0.366044, 0.366348, 0.36565,
24235  0.366198, 0.365798, 0.365634, 0.366047, 0.366704, 0.367465,
24236  0.367079, 0.368455, 0.369405, 0.369172, 0.370372, 0.371264,
24237  0.372426, 0.372983, 0.373916, 0.374566, 0.3759, 0.377114,
24238  0.378288, 0.379035, 0.380021, 0.380257, 0.381215, 0.38238,
24239  0.382845, 0.384172, 0.384351, 0.384305, 0.385766, 0.384946,
24240  0.386338, 0.386105, 0.387028, 0.387821, 0.38715, 0.387638,
24241  0.388034, 0.388931, 0.388721, 0.388648, 0.40424, 0.402978,
24242  0.402787, 0.402989, 0.403313, 0.402471, 0.402105, 0.40183,
24243  0.401235, 0.400396, 0.400499, 0.400442, 0.39873, 0.398772,
24244  0.397556, 0.397029, 0.396179, 0.396408, 0.394784, 0.393186,
24245  0.392271, 0.390364, 0.389518, 0.388542, 0.387363, 0.386475,
24246  0.386052, 0.38416, 0.383283, 0.382563, 0.382075, 0.38053,
24247  0.381287, 0.378939, 0.378158, 0.3771, 0.378017, 0.376806,
24248  0.377028, 0.377234, 0.378974, 0.377982, 0.378291, 0.37764,
24249  0.378972, 0.377574, 0.379375, 0.38, 0.380837, 0.381298,
24250  0.382433, 0.383078, 0.384473, 0.385792, 0.385632, 0.388473,
24251  0.388416, 0.389628, 0.391459, 0.391134, 0.393026, 0.394593,
24252  0.39563, 0.396187, 0.396271, 0.397632, 0.398753, 0.399874,
24253  0.399821, 0.400473, 0.399699, 0.401723, 0.401712, 0.401292,
24254  0.400194, 0.403085, 0.402448, 0.403401, 0.403881, 0.403031,
24255  0.419145, 0.420461, 0.419137, 0.418569, 0.4186, 0.417601,
24256  0.417879, 0.41786, 0.417608, 0.416503, 0.415244, 0.415408,
24257  0.414009, 0.413487, 0.412583, 0.411767, 0.410436, 0.40917,
24258  0.408278, 0.408053, 0.405784, 0.403931, 0.405472, 0.401529,
24259  0.401022, 0.400591, 0.398623, 0.397304, 0.395626, 0.395371,
24260  0.393754, 0.392839, 0.392202, 0.391706, 0.390887, 0.389308,
24261  0.389617, 0.389335, 0.388229, 0.388881, 0.388664, 0.388679,
24262  0.390094, 0.389537, 0.390406, 0.390856, 0.391253, 0.392744,
24263  0.393758, 0.393834, 0.395863, 0.396274, 0.396926, 0.398803,
24264  0.399455, 0.40085, 0.402921, 0.404053, 0.404511, 0.4066,
24265  0.405933, 0.408022, 0.409471, 0.410978, 0.411874, 0.412838,
24266  0.413891, 0.414097, 0.415595, 0.415473, 0.414779, 0.417521,
24267  0.41685, 0.417231, 0.417681, 0.418718, 0.419507, 0.418951,
24268  0.418432, 0.41905, 0.4354, 0.435762, 0.434691, 0.435427,
24269  0.434374, 0.434992, 0.433284, 0.434096, 0.433128, 0.432083,
24270  0.431667, 0.430325, 0.430127, 0.429139, 0.427728, 0.427023,
24271  0.425265, 0.423873, 0.422912, 0.421719, 0.420518, 0.419934,
24272  0.417311, 0.415347, 0.414661, 0.412125, 0.411527, 0.410505,
24273  0.409262, 0.408038, 0.406638, 0.405044, 0.403942, 0.402715,
24274  0.403634, 0.402459, 0.400972, 0.401948, 0.401289, 0.400785,
24275  0.40106, 0.401746, 0.400881, 0.401754, 0.402719, 0.403363,
24276  0.403668, 0.404945, 0.405574, 0.406589, 0.407996, 0.408453,
24277  0.409906, 0.412182, 0.413864, 0.415069, 0.415065, 0.417799,
24278  0.419061, 0.420647, 0.422832, 0.423225, 0.424358, 0.425376,
24279  0.426535, 0.426809, 0.428849, 0.430172, 0.431232, 0.432193,
24280  0.431877, 0.433577, 0.433703, 0.432994, 0.433536, 0.434904,
24281  0.434794, 0.435129, 0.434798, 0.435583, 0.45164, 0.450599,
24282  0.451907, 0.450828, 0.450687, 0.450462, 0.449421, 0.449836,
24283  0.448189, 0.448746, 0.447186, 0.447735, 0.444555, 0.444098,
24284  0.443366, 0.44274, 0.440895, 0.438336, 0.437158, 0.436517,
24285  0.434382, 0.432464, 0.430447, 0.429692, 0.428152, 0.427042,
24286  0.42512, 0.423835, 0.422146, 0.420701, 0.418729, 0.419298,
24287  0.416156, 0.414989, 0.415763, 0.413395, 0.414169, 0.412667,
24288  0.413143, 0.41304, 0.412838, 0.413414, 0.413883, 0.413666,
24289  0.415004, 0.415668, 0.415054, 0.416869, 0.418264, 0.420163,
24290  0.420327, 0.422279, 0.423606, 0.425017, 0.426683, 0.428357,
24291  0.429959, 0.431068, 0.433055, 0.43434, 0.436208, 0.437596,
24292  0.439175, 0.441642, 0.442267, 0.441871, 0.444304, 0.447167,
24293  0.446759, 0.447213, 0.447953, 0.448971, 0.450141, 0.449779,
24294  0.450195, 0.449642, 0.452025, 0.450687, 0.452109, 0.452727,
24295  0.467144, 0.466709, 0.469557, 0.466526, 0.466942, 0.465885,
24296  0.466488, 0.464589, 0.464913, 0.46351, 0.463308, 0.461954,
24297  0.460642, 0.459369, 0.457375, 0.456921, 0.455552, 0.453291,
24298  0.450866, 0.449947, 0.447956, 0.446763, 0.444265, 0.44282,
24299  0.440471, 0.439114, 0.436418, 0.435625, 0.434481, 0.433025,
24300  0.430462, 0.430424, 0.428396, 0.426741, 0.426954, 0.426558,
24301  0.42475, 0.424628, 0.424567, 0.424796, 0.424624, 0.42446,
24302  0.424125, 0.42472, 0.425509, 0.425883, 0.428258, 0.428804,
24303  0.430214, 0.431366, 0.432472, 0.434024, 0.435831, 0.436963,
24304  0.438843, 0.440712, 0.442245, 0.443743, 0.44401, 0.448159,
24305  0.44931, 0.451255, 0.453421, 0.45387, 0.45673, 0.457649,
24306  0.459533, 0.460132, 0.460364, 0.463003, 0.46388, 0.463868,
24307  0.465653, 0.465188, 0.46587, 0.466259, 0.467536, 0.466865,
24308  0.467361, 0.467033, 0.480619, 0.482365, 0.481671, 0.479647,
24309  0.481881, 0.479479, 0.478907, 0.48044, 0.477698, 0.477183,
24310  0.475147, 0.474488, 0.47281, 0.472684, 0.470732, 0.467948,
24311  0.467296, 0.465264, 0.462694, 0.461611, 0.459548, 0.458042,
24312  0.4549, 0.453867, 0.451907, 0.449074, 0.446607, 0.444487,
24313  0.443594, 0.442504, 0.440773, 0.43961, 0.437898, 0.436125,
24314  0.4354, 0.434382, 0.433619, 0.434283, 0.433425, 0.433089,
24315  0.432514, 0.432883, 0.433707, 0.433947, 0.433288, 0.435495,
24316  0.436761, 0.438801, 0.438557, 0.440102, 0.441139, 0.443915,
24317  0.445737, 0.447144, 0.449859, 0.451461, 0.452231, 0.455457,
24318  0.457344, 0.458721, 0.460189, 0.464452, 0.466129, 0.466457,
24319  0.46791, 0.469107, 0.473027, 0.473717, 0.474141, 0.475799,
24320  0.475757, 0.477999, 0.478793, 0.479372, 0.480154, 0.480135,
24321  0.480642, 0.480867, 0.481214, 0.481496, 0.490182, 0.490548,
24322  0.490964, 0.491684, 0.489801, 0.489477, 0.489511, 0.487826,
24323  0.487837, 0.485606, 0.485702, 0.482655, 0.480604, 0.480825,
24324  0.478819, 0.477805, 0.474678, 0.47302, 0.471319, 0.468154,
24325  0.467533, 0.464402, 0.462179, 0.45938, 0.457886, 0.455644,
24326  0.454198, 0.452544, 0.449821, 0.44777, 0.446336, 0.444121,
24327  0.442897, 0.44173, 0.439541, 0.440147, 0.439545, 0.438653,
24328  0.438759, 0.437974, 0.437596, 0.438248, 0.439476, 0.43855,
24329  0.440151, 0.440826, 0.441589, 0.443774, 0.44536, 0.44605,
24330  0.449302, 0.449871, 0.451834, 0.454172, 0.455354, 0.458957,
24331  0.460833, 0.46364, 0.464028, 0.467506, 0.468654, 0.471975,
24332  0.473622, 0.475521, 0.477755, 0.478102, 0.480642, 0.482312,
24333  0.483486, 0.484394, 0.48484, 0.487669, 0.488237, 0.488787,
24334  0.489431, 0.490144, 0.491311, 0.490258, 0.490922, 0.491013,
24335  0.494258, 0.494472, 0.493549, 0.493404, 0.495532, 0.491421,
24336  0.49189, 0.490647, 0.489862, 0.488604, 0.486186, 0.485076,
24337  0.483284, 0.483361, 0.480863, 0.478976, 0.476676, 0.475063,
24338  0.471788, 0.470324, 0.467658, 0.465885, 0.46346, 0.460105,
24339  0.45829, 0.455808, 0.453958, 0.451098, 0.449581, 0.447007,
24340  0.44507, 0.443751, 0.441943, 0.440323, 0.439415, 0.439648,
24341  0.438088, 0.437429, 0.436643, 0.436704, 0.43728, 0.437326,
24342  0.43704, 0.438123, 0.439838, 0.439633, 0.442077, 0.442119,
24343  0.444151, 0.445977, 0.448239, 0.448868, 0.45164, 0.453707,
24344  0.456296, 0.457851, 0.460307, 0.462156, 0.465702, 0.467769,
24345  0.469767, 0.472085, 0.474476, 0.476562, 0.479509, 0.481656,
24346  0.482823, 0.484272, 0.486754, 0.486602, 0.488348, 0.490663,
24347  0.491254, 0.491814, 0.49218, 0.493229, 0.492668, 0.493682,
24348  0.493938, 0.495417, 0.489172, 0.489477, 0.488802, 0.48847,
24349  0.486483, 0.487345, 0.486544, 0.483974, 0.483666, 0.4828,
24350  0.482247, 0.47901, 0.479151, 0.476352, 0.473332, 0.473164,
24351  0.469104, 0.469069, 0.465394, 0.462587, 0.4607, 0.4576,
24352  0.455316, 0.452132, 0.449977, 0.447125, 0.445268, 0.442229,
24353  0.440704, 0.439499, 0.436986, 0.434725, 0.432708, 0.432361,
24354  0.431004, 0.42896, 0.429101, 0.427069, 0.427469, 0.426725,
24355  0.427492, 0.427946, 0.427328, 0.428407, 0.428857, 0.429909,
24356  0.433711, 0.433196, 0.433947, 0.437047, 0.437574, 0.440628,
24357  0.44335, 0.444792, 0.446862, 0.450092, 0.45273, 0.453546,
24358  0.457577, 0.461066, 0.462831, 0.46558, 0.468341, 0.4691,
24359  0.472692, 0.473973, 0.47594, 0.47795, 0.4802, 0.48259,
24360  0.482773, 0.483845, 0.486037, 0.486251, 0.487845, 0.48786,
24361  0.487151, 0.488192, 0.48905, 0.489465, 0.473744, 0.475124,
24362  0.473904, 0.472406, 0.472966, 0.471712, 0.471719, 0.471166,
24363  0.469222, 0.468539, 0.466942, 0.464452, 0.462416, 0.460498,
24364  0.460185, 0.456471, 0.45453, 0.452132, 0.449653, 0.446595,
24365  0.444738, 0.441215, 0.438656, 0.436758, 0.433265, 0.430901,
24366  0.429375, 0.424327, 0.423484, 0.420529, 0.419305, 0.416743,
24367  0.415164, 0.413639, 0.412598, 0.410459, 0.410836, 0.410371,
24368  0.409338, 0.409632, 0.40888, 0.408633, 0.409723, 0.409673,
24369  0.411214, 0.4115, 0.413159, 0.416106, 0.416278, 0.418535,
24370  0.421555, 0.423141, 0.425818, 0.427732, 0.430958, 0.432784,
24371  0.435709, 0.438359, 0.441238, 0.444407, 0.447888, 0.448723,
24372  0.4518, 0.453897, 0.45588, 0.459354, 0.461352, 0.463567,
24373  0.464337, 0.466259, 0.468452, 0.46979, 0.471475, 0.471777,
24374  0.472615, 0.474072, 0.474854, 0.474728, 0.474495, 0.474766,
24375  0.454267, 0.452974, 0.452433, 0.453268, 0.453394, 0.451449,
24376  0.450416, 0.448616, 0.448155, 0.446713, 0.444754, 0.442416,
24377  0.441249, 0.438595, 0.435999, 0.434382, 0.432369, 0.429761,
24378  0.427564, 0.42517, 0.42093, 0.418379, 0.415584, 0.412545,
24379  0.410387, 0.407492, 0.404621, 0.401395, 0.399641, 0.398673,
24380  0.394761, 0.393079, 0.391443, 0.390723, 0.387874, 0.387752,
24381  0.385731, 0.38535, 0.384439, 0.38429, 0.384115, 0.384622,
24382  0.385285, 0.385541, 0.387382, 0.387806, 0.390711, 0.391428,
24383  0.393342, 0.394707, 0.397845, 0.399169, 0.402402, 0.404675,
24384  0.40729, 0.409982, 0.413307, 0.416156, 0.418958, 0.42075,
24385  0.423622, 0.427389, 0.430069, 0.432559, 0.433375, 0.437097,
24386  0.439526, 0.44096, 0.442954, 0.444692, 0.446096, 0.448368,
24387  0.449394, 0.450385, 0.451983, 0.452627, 0.4522, 0.453462,
24388  0.453996, 0.453074, 0.430352, 0.42949, 0.429681, 0.43031,
24389  0.429295, 0.427492, 0.426272, 0.426375, 0.42446, 0.423561,
24390  0.421021, 0.419721, 0.418409, 0.414997, 0.413788, 0.411103,
24391  0.408552, 0.406146, 0.403668, 0.399878, 0.396656, 0.395172,
24392  0.390399, 0.388877, 0.38617, 0.381804, 0.378409, 0.377152,
24393  0.373583, 0.372177, 0.369661, 0.367341, 0.36616, 0.364049,
24394  0.362947, 0.360606, 0.359506, 0.35931, 0.359261, 0.359537,
24395  0.359659, 0.359622, 0.359351, 0.360251, 0.360825, 0.362338,
24396  0.363952, 0.366306, 0.367656, 0.369356, 0.371232, 0.374226,
24397  0.377811, 0.380431, 0.382517, 0.385728, 0.388606, 0.390761,
24398  0.39481, 0.39709, 0.399207, 0.4031, 0.405822, 0.409098,
24399  0.411088, 0.412358, 0.41508, 0.41815, 0.419957, 0.422054,
24400  0.424037, 0.424872, 0.425494, 0.427438, 0.427904, 0.42986,
24401  0.428743, 0.430237, 0.429825, 0.431088, 0.409879, 0.409681,
24402  0.409429, 0.409052, 0.40872, 0.407942, 0.406272, 0.40586,
24403  0.404385, 0.402013, 0.400099, 0.400263, 0.397365, 0.394764,
24404  0.393026, 0.389419, 0.387238, 0.38434, 0.381373, 0.378087,
24405  0.37519, 0.372354, 0.369842, 0.36647, 0.36303, 0.359321,
24406  0.356259, 0.35506, 0.352006, 0.349865, 0.347382, 0.345375,
24407  0.342704, 0.341308, 0.338911, 0.338015, 0.337342, 0.336034,
24408  0.336582, 0.3355, 0.335719, 0.335668, 0.33631, 0.337173,
24409  0.338916, 0.339923, 0.340614, 0.342351, 0.345096, 0.346921,
24410  0.349078, 0.35154, 0.35481, 0.357787, 0.360653, 0.363057,
24411  0.366741, 0.36921, 0.372131, 0.375663, 0.378783, 0.380996,
24412  0.385117, 0.387108, 0.389659, 0.391905, 0.395382, 0.396938,
24413  0.399618, 0.401117, 0.402494, 0.404983, 0.406246, 0.407123,
24414  0.408011, 0.409246, 0.408934, 0.411218, 0.410455, 0.40962,
24415  0.395615, 0.395603, 0.394955, 0.394303, 0.393357, 0.392587,
24416  0.391352, 0.390971, 0.388336, 0.388, 0.386479, 0.383935,
24417  0.381484, 0.378747, 0.375741, 0.373279, 0.370758, 0.36802,
24418  0.364924, 0.361829, 0.35784, 0.355334, 0.352866, 0.3491,
24419  0.345697, 0.343343, 0.339812, 0.337139, 0.33345, 0.331241,
24420  0.329003, 0.326561, 0.324624, 0.322933, 0.321166, 0.320221,
24421  0.31984, 0.317916, 0.318008, 0.317165, 0.317425, 0.31803,
24422  0.317919, 0.31858, 0.319917, 0.321533, 0.322269, 0.325439,
24423  0.326415, 0.329674, 0.331877, 0.333703, 0.336959, 0.339611,
24424  0.34231, 0.345034, 0.349004, 0.35124, 0.355141, 0.358674,
24425  0.361243, 0.364756, 0.367967, 0.371233, 0.372958, 0.375745,
24426  0.378799, 0.381187, 0.38352, 0.384851, 0.387554, 0.389091,
24427  0.39091, 0.391596, 0.392698, 0.393129, 0.394726, 0.395436,
24428  0.39563, 0.395802, 0.386566, 0.385609, 0.385705, 0.38564,
24429  0.383878, 0.38458, 0.382185, 0.381438, 0.379441, 0.378389,
24430  0.376112, 0.373201, 0.372138, 0.368548, 0.365974, 0.363272,
24431  0.359023, 0.357667, 0.353666, 0.350235, 0.347769, 0.343997,
24432  0.340386, 0.33677, 0.333941, 0.32969, 0.327398, 0.324045,
24433  0.322442, 0.318507, 0.316626, 0.31417, 0.311653, 0.309814,
24434  0.308051, 0.306419, 0.305307, 0.304827, 0.304169, 0.303706,
24435  0.304243, 0.303764, 0.305114, 0.306293, 0.30726, 0.308333,
24436  0.310294, 0.311999, 0.313982, 0.316822, 0.318635, 0.321743,
24437  0.324918, 0.327327, 0.33062, 0.333882, 0.337441, 0.341406,
24438  0.343394, 0.346954, 0.350354, 0.353623, 0.357335, 0.360376,
24439  0.363114, 0.366268, 0.367296, 0.371691, 0.374067, 0.374807,
24440  0.377626, 0.380007, 0.380837, 0.382635, 0.383302, 0.384656,
24441  0.385026, 0.384858, 0.38646, 0.386521, 0.380869, 0.381552,
24442  0.381123, 0.381044, 0.380856, 0.379734, 0.378398, 0.376741,
24443  0.375398, 0.373209, 0.371559, 0.36922, 0.366652, 0.36409,
24444  0.361265, 0.357893, 0.354491, 0.352181, 0.347793, 0.344814,
24445  0.340788, 0.337271, 0.333966, 0.330319, 0.326436, 0.322752,
24446  0.320468, 0.316322, 0.314, 0.311231, 0.308575, 0.306488,
24447  0.303638, 0.301553, 0.30024, 0.298294, 0.29805, 0.296711,
24448  0.296513, 0.295398, 0.295923, 0.296081, 0.297254, 0.297262,
24449  0.297819, 0.299805, 0.301513, 0.302989, 0.304886, 0.308523,
24450  0.311372, 0.313178, 0.31683, 0.320272, 0.323297, 0.327193,
24451  0.330402, 0.33278, 0.337898, 0.341641, 0.345485, 0.34785,
24452  0.351506, 0.354286, 0.357844, 0.360433, 0.36413, 0.367053,
24453  0.368981, 0.371042, 0.37316, 0.37415, 0.377079, 0.378542,
24454  0.380344, 0.379655, 0.381621, 0.382231, 0.381278, 0.382311,
24455  0.381609, 0.382486, 0.382738, 0.381697, 0.38124, 0.379181,
24456  0.378349, 0.377353, 0.375229, 0.373563, 0.371258, 0.368429,
24457  0.365344, 0.362948, 0.358607, 0.35626, 0.352662, 0.349433,
24458  0.34585, 0.342518, 0.337433, 0.334692, 0.330954, 0.326338,
24459  0.323724, 0.319266, 0.315666, 0.313242, 0.310288, 0.306991,
24460  0.303804, 0.301424, 0.298416, 0.297138, 0.295641, 0.29381,
24461  0.292034, 0.291966, 0.291065, 0.290449, 0.291013, 0.290813,
24462  0.291221, 0.292231, 0.29366, 0.295076, 0.297195, 0.29891,
24463  0.300845, 0.303883, 0.306409, 0.30971, 0.312182, 0.316992,
24464  0.320013, 0.322786, 0.327276, 0.330284, 0.334752, 0.338548,
24465  0.342297, 0.346236, 0.349957, 0.352689, 0.35617, 0.359969,
24466  0.362788, 0.366078, 0.367978, 0.370142, 0.372185, 0.374706,
24467  0.376998, 0.378346, 0.379363, 0.381162, 0.381651, 0.382296,
24468  0.382334, 0.383207, 0.384835, 0.384881, 0.383798, 0.38323,
24469  0.383791, 0.381956, 0.380276, 0.378664, 0.376807, 0.375214,
24470  0.373915, 0.369842, 0.366709, 0.363956, 0.360522, 0.357371,
24471  0.353919, 0.35035, 0.346708, 0.34337, 0.338739, 0.33543,
24472  0.330801, 0.326672, 0.323, 0.319243, 0.315828, 0.311479,
24473  0.309076, 0.304453, 0.301347, 0.299545, 0.296979, 0.294935,
24474  0.292796, 0.291593, 0.290088, 0.289138, 0.288177, 0.287495,
24475  0.287282, 0.288161, 0.288912, 0.290328, 0.291036, 0.293321,
24476  0.294126, 0.296852, 0.299274, 0.301228, 0.305368, 0.308308,
24477  0.311255, 0.315468, 0.317983, 0.322341, 0.326401, 0.3306,
24478  0.333133, 0.337441, 0.342335, 0.346554, 0.3498, 0.353708,
24479  0.357558, 0.362023, 0.365424, 0.367072, 0.371185, 0.373312,
24480  0.375571, 0.377908, 0.37891, 0.380394, 0.382898, 0.38405,
24481  0.384324, 0.385129, 0.385411, 0.384988, 0.390273, 0.391508,
24482  0.389808, 0.390078, 0.388702, 0.38821, 0.386151, 0.383832,
24483  0.382635, 0.379793, 0.376439, 0.373712, 0.371303, 0.367728,
24484  0.363657, 0.36066, 0.357746, 0.352566, 0.349398, 0.344346,
24485  0.340138, 0.335997, 0.332126, 0.32721, 0.323333, 0.319094,
24486  0.316023, 0.311608, 0.3079, 0.305818, 0.301918, 0.298972,
24487  0.296464, 0.294203, 0.292146, 0.290674, 0.289039, 0.287542,
24488  0.287942, 0.286852, 0.286967, 0.287247, 0.288003, 0.289577,
24489  0.290956, 0.292103, 0.293543, 0.295461, 0.299197, 0.301721,
24490  0.30492, 0.308464, 0.312534, 0.315623, 0.319013, 0.32353,
24491  0.327171, 0.332136, 0.335545, 0.338715, 0.343805, 0.348824,
24492  0.353083, 0.357023, 0.361464, 0.363846, 0.367928, 0.370868,
24493  0.374735, 0.377196, 0.379821, 0.381941, 0.384702, 0.385586,
24494  0.387585, 0.388812, 0.388965, 0.390845, 0.390208, 0.391154,
24495  0.397029, 0.397521, 0.396381, 0.39587, 0.394578, 0.393796,
24496  0.392397, 0.390437, 0.388446, 0.385628, 0.382704, 0.380225,
24497  0.377158, 0.373785, 0.369241, 0.365707, 0.361586, 0.358012,
24498  0.353658, 0.348095, 0.343918, 0.339688, 0.33469, 0.330202,
24499  0.325467, 0.321315, 0.317215, 0.313752, 0.309422, 0.306583,
24500  0.302811, 0.299797, 0.298037, 0.294888, 0.293116, 0.290848,
24501  0.289542, 0.287998, 0.287698, 0.286827, 0.288005, 0.287811,
24502  0.287884, 0.289536, 0.29092, 0.293166, 0.295039, 0.297337,
24503  0.29928, 0.303317, 0.305552, 0.309767, 0.31431, 0.317221,
24504  0.321612, 0.326566, 0.330125, 0.335135, 0.339475, 0.343553,
24505  0.347525, 0.352606, 0.357172, 0.362673, 0.365617, 0.369593,
24506  0.374572, 0.376675, 0.379941, 0.383264, 0.385156, 0.388717,
24507  0.390158, 0.391787, 0.392892, 0.394684, 0.396538, 0.397407,
24508  0.39719, 0.3973, 0.404968, 0.405963, 0.404743, 0.403984,
24509  0.403123, 0.400781, 0.39844, 0.398803, 0.395874, 0.392538,
24510  0.389583, 0.38577, 0.384492, 0.379279, 0.375859, 0.369699,
24511  0.366834, 0.36196, 0.357131, 0.353817, 0.348973, 0.343235,
24512  0.338082, 0.333237, 0.328654, 0.323655, 0.320141, 0.316305,
24513  0.312189, 0.308675, 0.305235, 0.302189, 0.299086, 0.296415,
24514  0.294175, 0.29232, 0.289841, 0.28952, 0.288852, 0.288919,
24515  0.288319, 0.288485, 0.289638, 0.290122, 0.291614, 0.29397,
24516  0.296034, 0.298489, 0.301402, 0.305242, 0.307973, 0.313346,
24517  0.315482, 0.319983, 0.324593, 0.329032, 0.333284, 0.338476,
24518  0.342931, 0.346969, 0.352495, 0.358555, 0.361449, 0.366601,
24519  0.370589, 0.376018, 0.378064, 0.383215, 0.386025, 0.390265,
24520  0.393068, 0.394864, 0.397739, 0.400812, 0.400839, 0.401964,
24521  0.404907, 0.404274, 0.405132, 0.403786, 0.413467, 0.414047,
24522  0.413376, 0.41198, 0.411252, 0.408652, 0.406024, 0.405628,
24523  0.403923, 0.399333, 0.396618, 0.393033, 0.390227, 0.38673,
24524  0.381423, 0.377268, 0.373009, 0.367891, 0.363398, 0.357799,
24525  0.352476, 0.348189, 0.341812, 0.336882, 0.332162, 0.328568,
24526  0.32184, 0.318208, 0.314093, 0.310875, 0.306619, 0.303879,
24527  0.30048, 0.297748, 0.29541, 0.293903, 0.291962, 0.291082,
24528  0.289237, 0.290172, 0.290157, 0.290217, 0.290805, 0.292403,
24529  0.293544, 0.294775, 0.298208, 0.300614, 0.304191, 0.30734,
24530  0.310378, 0.314758, 0.317674, 0.32224, 0.328314, 0.331606,
24531  0.33756, 0.341638, 0.347808, 0.353149, 0.357354, 0.362621,
24532  0.367788, 0.373024, 0.376812, 0.381751, 0.385247, 0.390238,
24533  0.392641, 0.397476, 0.39995, 0.403351, 0.405906, 0.407565,
24534  0.409773, 0.41129, 0.410795, 0.412583, 0.41386, 0.41309,
24535  0.422752, 0.423225, 0.421719, 0.421559, 0.420224, 0.418512,
24536  0.416159, 0.414394, 0.411912, 0.407916, 0.405102, 0.401899,
24537  0.397518, 0.392622, 0.388416, 0.383173, 0.380616, 0.374022,
24538  0.36829, 0.363902, 0.357706, 0.352251, 0.346455, 0.342004,
24539  0.3356, 0.331399, 0.32728, 0.321999, 0.316531, 0.312809,
24540  0.309014, 0.306082, 0.303278, 0.300811, 0.297712, 0.295353,
24541  0.294368, 0.292446, 0.291538, 0.291569, 0.291818, 0.292174,
24542  0.292172, 0.294189, 0.295642, 0.297539, 0.299807, 0.303047,
24543  0.30644, 0.308913, 0.313875, 0.317338, 0.322025, 0.326198,
24544  0.330794, 0.336936, 0.341674, 0.347844, 0.352386, 0.357266,
24545  0.362502, 0.367919, 0.373912, 0.379192, 0.383486, 0.38824,
24546  0.393087, 0.39775, 0.401228, 0.404854, 0.407386, 0.410821,
24547  0.4146, 0.415961, 0.418177, 0.419301, 0.420907, 0.421368,
24548  0.422108, 0.423271, 0.431812, 0.432697, 0.43092, 0.4305,
24549  0.429467, 0.426939, 0.426096, 0.42287, 0.420018, 0.416114,
24550  0.412743, 0.407801, 0.405418, 0.400053, 0.395058, 0.39152,
24551  0.385396, 0.380116, 0.374097, 0.368528, 0.362995, 0.356108,
24552  0.352059, 0.346012, 0.340418, 0.335199, 0.329082, 0.324962,
24553  0.319755, 0.316363, 0.311486, 0.30813, 0.304974, 0.302696,
24554  0.299247, 0.298443, 0.295759, 0.294457, 0.293767, 0.294565,
24555  0.293603, 0.293515, 0.294717, 0.296154, 0.297596, 0.299636,
24556  0.301544, 0.306098, 0.307835, 0.311967, 0.315456, 0.320537,
24557  0.324841, 0.330612, 0.335476, 0.339454, 0.346488, 0.350914,
24558  0.356951, 0.362872, 0.368538, 0.373821, 0.379393, 0.38522,
24559  0.390971, 0.396137, 0.400419, 0.405677, 0.408228, 0.414207,
24560  0.417967, 0.419687, 0.422958, 0.425536, 0.427061, 0.428487,
24561  0.428872, 0.431591, 0.431576, 0.432323, 0.441429, 0.441943,
24562  0.440681, 0.439991, 0.437699, 0.436784, 0.434779, 0.431793,
24563  0.427381, 0.426226, 0.421887, 0.417887, 0.41261, 0.408568,
24564  0.40175, 0.397598, 0.390738, 0.386494, 0.38065, 0.374944,
24565  0.368672, 0.362109, 0.35635, 0.35067, 0.343685, 0.338023,
24566  0.333814, 0.328072, 0.3236, 0.318422, 0.314779, 0.310527,
24567  0.306722, 0.304615, 0.302046, 0.299322, 0.297055, 0.296939,
24568  0.29548, 0.295251, 0.295678, 0.295921, 0.296169, 0.297284,
24569  0.299589, 0.302476, 0.304104, 0.307207, 0.311179, 0.314624,
24570  0.318187, 0.322433, 0.328245, 0.33329, 0.338664, 0.343975,
24571  0.348508, 0.356595, 0.36257, 0.366865, 0.374249, 0.379412,
24572  0.386052, 0.392385, 0.397201, 0.402055, 0.408907, 0.412983,
24573  0.416762, 0.42138, 0.424277, 0.429555, 0.431419, 0.434508,
24574  0.436868, 0.438157, 0.439854, 0.440639, 0.440719, 0.4412,
24575  0.450561, 0.45079, 0.450793, 0.44931, 0.447598, 0.445798,
24576  0.44303, 0.440399, 0.437242, 0.43405, 0.429192, 0.425932,
24577  0.420369, 0.414398, 0.410265, 0.40416, 0.398025, 0.393277,
24578  0.385941, 0.379176, 0.372891, 0.367572, 0.35989, 0.354498,
24579  0.347836, 0.342981, 0.336817, 0.332757, 0.327071, 0.32371,
24580  0.317696, 0.31407, 0.31016, 0.306764, 0.304114, 0.301652,
24581  0.299438, 0.298774, 0.296986, 0.297213, 0.296975, 0.297573,
24582  0.298148, 0.299966, 0.301509, 0.303426, 0.30746, 0.310482,
24583  0.313536, 0.317758, 0.32128, 0.326658, 0.33211, 0.336143,
24584  0.342482, 0.347797, 0.354226, 0.360704, 0.367314, 0.37235,
24585  0.378859, 0.385876, 0.392069, 0.397464, 0.404156, 0.409971,
24586  0.415946, 0.420327, 0.425071, 0.431088, 0.433661, 0.437635,
24587  0.440033, 0.442912, 0.445817, 0.447137, 0.449116, 0.450923,
24588  0.450915, 0.450668, 0.46155, 0.46176, 0.460738, 0.458431,
24589  0.457706, 0.455117, 0.453035, 0.450073, 0.446664, 0.442199,
24590  0.438859, 0.434012, 0.428979, 0.423423, 0.417852, 0.411035,
24591  0.406543, 0.398722, 0.394303, 0.385503, 0.378621, 0.373022,
24592  0.364628, 0.35793, 0.35218, 0.346312, 0.340495, 0.334774,
24593  0.32937, 0.324786, 0.320304, 0.315126, 0.312524, 0.308309,
24594  0.305839, 0.303457, 0.301327, 0.30057, 0.298741, 0.299338,
24595  0.298802, 0.299567, 0.300284, 0.302246, 0.303507, 0.30632,
24596  0.30852, 0.311843, 0.315711, 0.320908, 0.324502, 0.329446,
24597  0.334681, 0.340563, 0.345636, 0.352477, 0.357831, 0.364823,
24598  0.371931, 0.378176, 0.38593, 0.391867, 0.398215, 0.405006,
24599  0.410806, 0.417155, 0.423374, 0.42909, 0.432434, 0.439095,
24600  0.442199, 0.447343, 0.450614, 0.452414, 0.455796, 0.458416,
24601  0.459091, 0.460395, 0.460776, 0.461161, 0.470789, 0.470373,
24602  0.469115, 0.468718, 0.467998, 0.465195, 0.461512, 0.459865,
24603  0.456551, 0.45074, 0.44788, 0.442614, 0.437905, 0.430348,
24604  0.42488, 0.418604, 0.412011, 0.404053, 0.399333, 0.390894,
24605  0.384012, 0.376298, 0.370368, 0.363653, 0.355696, 0.350363,
24606  0.34389, 0.337483, 0.331993, 0.327214, 0.322378, 0.319213,
24607  0.313518, 0.310729, 0.307806, 0.305453, 0.303765, 0.30235,
24608  0.301455, 0.299961, 0.300153, 0.301075, 0.302372, 0.303277,
24609  0.305523, 0.307477, 0.310249, 0.313928, 0.317892, 0.322112,
24610  0.327298, 0.332138, 0.338256, 0.344127, 0.350749, 0.356422,
24611  0.36401, 0.370085, 0.375828, 0.383112, 0.390406, 0.398947,
24612  0.403561, 0.41023, 0.419534, 0.424251, 0.431061, 0.437364,
24613  0.44165, 0.448357, 0.452223, 0.454972, 0.458221, 0.463102,
24614  0.464917, 0.467758, 0.468814, 0.469382, 0.470309, 0.471803,
24615  0.479723, 0.480516, 0.479658, 0.480139, 0.477229, 0.474877,
24616  0.473374, 0.46894, 0.466004, 0.460951, 0.456101, 0.450568,
24617  0.444231, 0.440044, 0.432495, 0.424228, 0.418756, 0.411626,
24618  0.403264, 0.395805, 0.388397, 0.381419, 0.373245, 0.368263,
24619  0.360212, 0.3536, 0.347215, 0.340127, 0.335234, 0.330383,
24620  0.325077, 0.321165, 0.316641, 0.311969, 0.310041, 0.307639,
24621  0.305088, 0.303178, 0.3025, 0.301497, 0.302264, 0.302088,
24622  0.30359, 0.304923, 0.308015, 0.309927, 0.313352, 0.316372,
24623  0.320349, 0.325051, 0.329828, 0.334855, 0.340548, 0.347688,
24624  0.353239, 0.360413, 0.366638, 0.374155, 0.381346, 0.389045,
24625  0.396618, 0.404492, 0.411473, 0.41775, 0.425284, 0.432312,
24626  0.439049, 0.445356, 0.450885, 0.455419, 0.45983, 0.464776,
24627  0.467697, 0.471902, 0.476852, 0.478838, 0.47888, 0.480058,
24628  0.481999, 0.481847, 0.492436, 0.492413, 0.489953, 0.489309,
24629  0.487951, 0.485092, 0.480623, 0.478163, 0.475269, 0.469847,
24630  0.464318, 0.459239, 0.452666, 0.445802, 0.439892, 0.430916,
24631  0.424724, 0.417227, 0.410139, 0.402345, 0.39433, 0.387192,
24632  0.379945, 0.371311, 0.364133, 0.35827, 0.350454, 0.343918,
24633  0.337303, 0.332478, 0.327595, 0.322648, 0.318596, 0.314998,
24634  0.311841, 0.308434, 0.306965, 0.304842, 0.304445, 0.303394,
24635  0.303171, 0.304573, 0.304613, 0.306295, 0.309294, 0.312029,
24636  0.315105, 0.318902, 0.322192, 0.327194, 0.332675, 0.338492,
24637  0.344901, 0.350796, 0.356473, 0.363299, 0.370568, 0.378786,
24638  0.386025, 0.395741, 0.402398, 0.410032, 0.417281, 0.424849,
24639  0.432922, 0.439751, 0.449451, 0.452791, 0.459746, 0.46436,
24640  0.470423, 0.473969, 0.477412, 0.483239, 0.485031, 0.487669,
24641  0.488604, 0.490945, 0.491955, 0.492096, 0.50275, 0.501431,
24642  0.500748, 0.500203, 0.497042, 0.495295, 0.491955, 0.486392,
24643  0.484253, 0.479681, 0.473904, 0.467174, 0.461558, 0.453417,
24644  0.447076, 0.440632, 0.432971, 0.424194, 0.415793, 0.408583,
24645  0.399443, 0.39152, 0.382342, 0.375007, 0.366927, 0.360024,
24646  0.353552, 0.346528, 0.341199, 0.335087, 0.330202, 0.324574,
24647  0.320886, 0.316797, 0.313081, 0.310953, 0.308338, 0.307186,
24648  0.305485, 0.304808, 0.305241, 0.305373, 0.307196, 0.307946,
24649  0.310615, 0.313491, 0.316694, 0.320769, 0.325379, 0.329629,
24650  0.334899, 0.340463, 0.347477, 0.353313, 0.360945, 0.36712,
24651  0.375469, 0.383081, 0.390898, 0.399901, 0.407588, 0.416098,
24652  0.424052, 0.431099, 0.437715, 0.446694, 0.454835, 0.461695,
24653  0.467967, 0.472379, 0.478209, 0.4832, 0.488462, 0.491246,
24654  0.493557, 0.497797, 0.499436, 0.500271, 0.501785, 0.503268,
24655  0.513785, 0.512359, 0.511459, 0.511356, 0.507764, 0.505396,
24656  0.501732, 0.497534, 0.492725, 0.487105, 0.482983, 0.47615,
24657  0.468947, 0.462724, 0.454702, 0.446283, 0.439434, 0.430371,
24658  0.422104, 0.413079, 0.40461, 0.39539, 0.38673, 0.379451,
24659  0.371896, 0.364502, 0.356516, 0.35015, 0.342883, 0.337289,
24660  0.332113, 0.325764, 0.322534, 0.318212, 0.315377, 0.312253,
24661  0.309548, 0.307956, 0.306705, 0.305455, 0.305891, 0.306626,
24662  0.308992, 0.309138, 0.312106, 0.315508, 0.317845, 0.322133,
24663  0.326145, 0.332389, 0.337598, 0.34382, 0.349611, 0.35621,
24664  0.364309, 0.371725, 0.38058, 0.38837, 0.396492, 0.40403,
24665  0.413494, 0.420297, 0.431286, 0.436281, 0.445665, 0.454359,
24666  0.462827, 0.469092, 0.475883, 0.482609, 0.487013, 0.492569,
24667  0.497004, 0.502521, 0.505495, 0.507756, 0.510082, 0.511806,
24668  0.512138, 0.513007, 0.524034, 0.522929, 0.522029, 0.519527,
24669  0.51838, 0.513541, 0.51017, 0.508542, 0.502514, 0.497267,
24670  0.49035, 0.483566, 0.477344, 0.470453, 0.462419, 0.453798,
24671  0.444544, 0.435522, 0.428666, 0.417265, 0.409117, 0.401811,
24672  0.391626, 0.383913, 0.374123, 0.367462, 0.359657, 0.35208,
24673  0.345079, 0.339413, 0.334049, 0.329035, 0.32427, 0.319908,
24674  0.314998, 0.313676, 0.311229, 0.308852, 0.308002, 0.30704,
24675  0.307595, 0.308171, 0.310052, 0.310916, 0.31325, 0.316113,
24676  0.31955, 0.324193, 0.330254, 0.333581, 0.340352, 0.346171,
24677  0.352394, 0.35982, 0.367672, 0.374497, 0.383009, 0.391283,
24678  0.400126, 0.410802, 0.418577, 0.428026, 0.436929, 0.44449,
24679  0.453592, 0.462339, 0.469428, 0.476783, 0.485069, 0.490098,
24680  0.496649, 0.50275, 0.506887, 0.51057, 0.514395, 0.517892,
24681  0.520606, 0.521163, 0.523123, 0.523771, 0.535679, 0.533144,
24682  0.530852, 0.53073, 0.528599, 0.525407, 0.520858, 0.516679,
24683  0.511222, 0.506258, 0.500912, 0.492939, 0.48553, 0.476775,
24684  0.46947, 0.460044, 0.451861, 0.44308, 0.432807, 0.423519,
24685  0.413059, 0.404942, 0.395683, 0.387554, 0.378079, 0.369971,
24686  0.361736, 0.354367, 0.347996, 0.341091, 0.335411, 0.33056,
24687  0.325568, 0.320083, 0.317952, 0.314947, 0.313098, 0.310777,
24688  0.309109, 0.308594, 0.308622, 0.309063, 0.310548, 0.3126,
24689  0.314766, 0.317257, 0.321736, 0.325656, 0.330264, 0.335646,
24690  0.34151, 0.34798, 0.35511, 0.362061, 0.37051, 0.379026,
24691  0.38763, 0.395134, 0.405067, 0.414135, 0.424274, 0.433799,
24692  0.442401, 0.451655, 0.460208, 0.469554, 0.478106, 0.486114,
24693  0.493053, 0.500268, 0.506132, 0.512023, 0.518075, 0.520793,
24694  0.524194, 0.527821, 0.531294, 0.534074, 0.533628, 0.533685,
24695  0.543469, 0.544598, 0.543222, 0.541544, 0.538654, 0.535939,
24696  0.531718, 0.527741, 0.522204, 0.516656, 0.508904, 0.502677,
24697  0.494895, 0.485915, 0.477305, 0.46672, 0.458728, 0.448216,
24698  0.438161, 0.428723, 0.4186, 0.410398, 0.401239, 0.392301,
24699  0.381991, 0.373322, 0.364968, 0.357539, 0.350768, 0.343808,
24700  0.337534, 0.332006, 0.327566, 0.322852, 0.319463, 0.316162,
24701  0.314671, 0.31182, 0.310714, 0.310063, 0.309569, 0.310732,
24702  0.312089, 0.314081, 0.316099, 0.319271, 0.322923, 0.327155,
24703  0.332504, 0.338164, 0.344613, 0.350123, 0.357108, 0.365102,
24704  0.37304, 0.382262, 0.391291, 0.400213, 0.409307, 0.418325,
24705  0.428319, 0.438912, 0.44854, 0.458194, 0.46722, 0.476352,
24706  0.484043, 0.493091, 0.501415, 0.50731, 0.516099, 0.523725,
24707  0.52702, 0.530368, 0.536804, 0.537372, 0.542097, 0.545437,
24708  0.546352, 0.543275, 0.555374, 0.554447, 0.554382, 0.553364,
24709  0.549326, 0.545555, 0.541845, 0.536827, 0.533231, 0.525209,
24710  0.519455, 0.51147, 0.502048, 0.494098, 0.482598, 0.475353,
24711  0.462778, 0.454225, 0.444555, 0.434207, 0.423374, 0.413845,
24712  0.404301, 0.396046, 0.385632, 0.376736, 0.368604, 0.360131,
24713  0.352564, 0.345546, 0.339904, 0.334057, 0.329637, 0.323731,
24714  0.320396, 0.316567, 0.315082, 0.312428, 0.312152, 0.310863,
24715  0.310885, 0.311427, 0.312693, 0.314457, 0.31703, 0.320672,
24716  0.324354, 0.328103, 0.334375, 0.340233, 0.345294, 0.352104,
24717  0.361081, 0.367691, 0.375674, 0.384847, 0.39428, 0.403859,
24718  0.414894, 0.423709, 0.433833, 0.444162, 0.455232, 0.465828,
24719  0.472932, 0.484028, 0.495067, 0.502437, 0.510033, 0.517392,
24720  0.525354, 0.532164, 0.537449, 0.540819, 0.546356, 0.549544,
24721  0.551728, 0.552724, 0.5563, 0.556857, 0.56711, 0.568014,
24722  0.566538, 0.562413, 0.559595, 0.556514, 0.550851, 0.547424,
24723  0.5404, 0.533071, 0.526734, 0.51894, 0.509686, 0.501507,
24724  0.491265, 0.481778, 0.471369, 0.459773, 0.449592, 0.437787,
24725  0.428178, 0.41892, 0.408442, 0.398086, 0.388137, 0.379311,
24726  0.37095, 0.362654, 0.355257, 0.347746, 0.34059, 0.335694,
24727  0.330424, 0.326345, 0.321749, 0.318135, 0.31543, 0.313796,
24728  0.312534, 0.310939, 0.312123, 0.312559, 0.313372, 0.31605,
24729  0.318282, 0.321068, 0.325102, 0.329731, 0.335512, 0.341793,
24730  0.348176, 0.354314, 0.362703, 0.370976, 0.378776, 0.389971,
24731  0.397449, 0.408167, 0.41884, 0.429292, 0.437814, 0.449581,
24732  0.460025, 0.471677, 0.482053, 0.491296, 0.502628, 0.509324,
24733  0.518681, 0.52771, 0.533899, 0.541132, 0.544606, 0.553944,
24734  0.556098, 0.560174, 0.56234, 0.565093, 0.565204, 0.565921,
24735  0.578359, 0.576292, 0.57577, 0.573051, 0.571274, 0.566866,
24736  0.562763, 0.556171, 0.549006, 0.543973, 0.535561, 0.527104,
24737  0.517617, 0.510448, 0.498083, 0.48733, 0.477088, 0.466053,
24738  0.45649, 0.444307, 0.434481, 0.422157, 0.410894, 0.402345,
24739  0.39009, 0.381705, 0.372966, 0.364867, 0.356689, 0.349981,
24740  0.342907, 0.337071, 0.331288, 0.326464, 0.322463, 0.318908,
24741  0.317289, 0.315048, 0.312746, 0.31223, 0.313108, 0.313025,
24742  0.314458, 0.316901, 0.319438, 0.322998, 0.326016, 0.330763,
24743  0.337404, 0.342834, 0.35031, 0.356486, 0.36527, 0.373071,
24744  0.382319, 0.392133, 0.401678, 0.411138, 0.423008, 0.43426,
24745  0.445512, 0.455258, 0.467536, 0.474686, 0.487235, 0.497236,
24746  0.508828, 0.519901, 0.525647, 0.536553, 0.543584, 0.551198,
24747  0.557928, 0.56218, 0.566801, 0.570317, 0.574626, 0.574527,
24748  0.578893, 0.577188, 0.587834, 0.589958, 0.588658, 0.584364,
24749  0.581951, 0.578839, 0.572205, 0.567812, 0.558199, 0.55341,
24750  0.544503, 0.53608, 0.527119, 0.517259, 0.50601, 0.494967,
24751  0.484192, 0.472718, 0.461054, 0.448425, 0.438138, 0.425982,
24752  0.416289, 0.404766, 0.393777, 0.383402, 0.37595, 0.36728,
24753  0.359127, 0.352421, 0.344061, 0.338969, 0.332807, 0.328569,
24754  0.323262, 0.319892, 0.317824, 0.315365, 0.314265, 0.313559,
24755  0.31373, 0.313978, 0.315616, 0.317473, 0.320552, 0.323146,
24756  0.328451, 0.332576, 0.338582, 0.344302, 0.351534, 0.358757,
24757  0.366184, 0.375193, 0.384149, 0.39454, 0.405647, 0.41542,
24758  0.425906, 0.439011, 0.44849, 0.460959, 0.471822, 0.482888,
24759  0.493831, 0.506452, 0.515745, 0.527863, 0.537723, 0.546062,
24760  0.552823, 0.560582, 0.566817, 0.573451, 0.57675, 0.581016,
24761  0.585485, 0.585649, 0.587869, 0.588517, 0.599487, 0.599628,
24762  0.598751, 0.595681, 0.592528, 0.588498, 0.583571, 0.577539,
24763  0.569791, 0.562733, 0.554462, 0.54546, 0.534783, 0.524133,
24764  0.51412, 0.501942, 0.490277, 0.480962, 0.467014, 0.455033,
24765  0.442123, 0.430946, 0.420156, 0.408533, 0.397933, 0.38813,
24766  0.377846, 0.368614, 0.360279, 0.35267, 0.346105, 0.340627,
24767  0.333223, 0.328622, 0.325452, 0.320676, 0.318522, 0.316254,
24768  0.314947, 0.313904, 0.313996, 0.3152, 0.316316, 0.319202,
24769  0.3208, 0.3248, 0.328814, 0.334409, 0.339205, 0.346311,
24770  0.353717, 0.361044, 0.369326, 0.377623, 0.387333, 0.397163,
24771  0.407675, 0.419351, 0.430565, 0.443, 0.454, 0.465226,
24772  0.477946, 0.490766, 0.502658, 0.513625, 0.524076, 0.535012,
24773  0.544476, 0.554241, 0.562439, 0.571869, 0.576792, 0.583903,
24774  0.589443, 0.591499, 0.595342, 0.597035, 0.59946, 0.599636,
24775  0.610972, 0.610522, 0.609187, 0.609202, 0.603571, 0.598347,
24776  0.593493, 0.587499, 0.581428, 0.572124, 0.561749, 0.553322,
24777  0.542905, 0.533998, 0.519565, 0.5089, 0.496657, 0.483719,
24778  0.471433, 0.460566, 0.446054, 0.435156, 0.422199, 0.410493,
24779  0.400068, 0.390166, 0.380559, 0.370612, 0.363115, 0.35473,
24780  0.34846, 0.341666, 0.335224, 0.329797, 0.325891, 0.322953,
24781  0.318946, 0.317429, 0.315049, 0.314934, 0.314742, 0.314916,
24782  0.317397, 0.319087, 0.322887, 0.326087, 0.329575, 0.335933,
24783  0.341657, 0.347517, 0.354711, 0.361949, 0.371702, 0.381163,
24784  0.39102, 0.400026, 0.410364, 0.423866, 0.435049, 0.447099,
24785  0.459178, 0.470858, 0.485568, 0.49729, 0.509274, 0.520789,
24786  0.532816, 0.542528, 0.55497, 0.562138, 0.572986, 0.579953,
24787  0.58873, 0.593184, 0.598949, 0.603471, 0.606041, 0.60995,
24788  0.611891, 0.613176, 0.623402, 0.62177, 0.622342, 0.61872,
24789  0.615056, 0.610285, 0.603544, 0.597203, 0.590358, 0.582801,
24790  0.573409, 0.561383, 0.550131, 0.542501, 0.528171, 0.515036,
24791  0.503455, 0.489549, 0.476108, 0.462435, 0.451499, 0.438656,
24792  0.427011, 0.413018, 0.40371, 0.39277, 0.382925, 0.373641,
24793  0.364678, 0.35642, 0.348104, 0.341627, 0.336439, 0.330832,
24794  0.326215, 0.322831, 0.319884, 0.316704, 0.316982, 0.314814,
24795  0.315134, 0.316505, 0.317629, 0.320661, 0.323268, 0.325667,
24796  0.330986, 0.336309, 0.342707, 0.348705, 0.356716, 0.363925,
24797  0.373279, 0.382193, 0.392488, 0.403367, 0.41476, 0.425887,
24798  0.438813, 0.450954, 0.462843, 0.477999, 0.490338, 0.502506,
24799  0.51605, 0.527481, 0.538776, 0.551183, 0.563526, 0.57368,
24800  0.581592, 0.590888, 0.596837, 0.603593, 0.610739, 0.61475,
24801  0.617934, 0.619993, 0.621911, 0.623063, 0.634117, 0.633335,
24802  0.633049, 0.630578, 0.627921, 0.620409, 0.613923, 0.607715,
24803  0.600535, 0.593119, 0.580845, 0.571217, 0.560281, 0.549235,
24804  0.536976, 0.52257, 0.508919, 0.495787, 0.482201, 0.469432,
24805  0.456189, 0.444044, 0.430371, 0.417994, 0.406326, 0.3955,
24806  0.38474, 0.37444, 0.366085, 0.357273, 0.350667, 0.343636,
24807  0.337395, 0.33267, 0.327931, 0.323893, 0.319944, 0.318868,
24808  0.317698, 0.31605, 0.316202, 0.3175, 0.317903, 0.320754,
24809  0.324158, 0.32674, 0.331776, 0.336858, 0.342882, 0.35014,
24810  0.357435, 0.366361, 0.37548, 0.385297, 0.39523, 0.40694,
24811  0.418356, 0.429848, 0.442561, 0.457245, 0.467742, 0.481816,
24812  0.496687, 0.508389, 0.520751, 0.534993, 0.54819, 0.561955,
24813  0.569699, 0.581981, 0.590412, 0.600295, 0.60693, 0.616501,
24814  0.62299, 0.627017, 0.628763, 0.632386, 0.634433, 0.631909,
24815  0.645819, 0.643916, 0.642971, 0.641888, 0.636348, 0.63274,
24816  0.625385, 0.619143, 0.609206, 0.601458, 0.590564, 0.578477,
24817  0.569459, 0.554806, 0.542188, 0.529018, 0.515432, 0.501583,
24818  0.488981, 0.474205, 0.459815, 0.446161, 0.433516, 0.421765,
24819  0.410173, 0.398139, 0.38646, 0.377169, 0.367089, 0.359554,
24820  0.351793, 0.34424, 0.337956, 0.332268, 0.328241, 0.324232,
24821  0.321213, 0.318235, 0.317081, 0.317047, 0.316616, 0.317503,
24822  0.318992, 0.320863, 0.325119, 0.328892, 0.332065, 0.338491,
24823  0.345193, 0.352487, 0.357755, 0.367039, 0.376283, 0.386471,
24824  0.39783, 0.409754, 0.420968, 0.432575, 0.446119, 0.460215,
24825  0.473813, 0.487589, 0.501671, 0.516187, 0.529548, 0.541368,
24826  0.555835, 0.569707, 0.579728, 0.589218, 0.600162, 0.610026,
24827  0.618693, 0.626132, 0.633362, 0.638586, 0.642887, 0.644835,
24828  0.644549, 0.646399, 0.656881, 0.656892, 0.656126, 0.653369,
24829  0.649049, 0.644809, 0.63743, 0.629728, 0.620806, 0.611586,
24830  0.601363, 0.588296, 0.57808, 0.562287, 0.549536, 0.536488,
24831  0.520972, 0.507245, 0.492825, 0.476394, 0.463807, 0.449215,
24832  0.437009, 0.424876, 0.412217, 0.399466, 0.38964, 0.37817,
24833  0.369313, 0.360593, 0.353504, 0.345399, 0.33938, 0.333448,
24834  0.329227, 0.324673, 0.320905, 0.319054, 0.317693, 0.317422,
24835  0.316254, 0.317228, 0.319668, 0.321394, 0.324589, 0.329861,
24836  0.333701, 0.338948, 0.345783, 0.352259, 0.358817, 0.369607,
24837  0.378793, 0.389209, 0.400446, 0.41301, 0.424426, 0.436189,
24838  0.450065, 0.464009, 0.478224, 0.493313, 0.508618, 0.521758,
24839  0.536202, 0.549658, 0.562542, 0.575381, 0.587918, 0.599586,
24840  0.610922, 0.621927, 0.627513, 0.635951, 0.643078, 0.649537,
24841  0.652439, 0.655546, 0.658109, 0.658177, 0.670219, 0.669468,
24842  0.667138, 0.664259, 0.660747, 0.655016, 0.648145, 0.637797,
24843  0.631627, 0.620199, 0.608608, 0.596166, 0.584883, 0.569962,
24844  0.555877, 0.542913, 0.528202, 0.512378, 0.496599, 0.482556,
24845  0.466801, 0.453958, 0.441486, 0.426405, 0.414463, 0.402017,
24846  0.391432, 0.380117, 0.371345, 0.362653, 0.353396, 0.346141,
24847  0.340074, 0.333437, 0.32932, 0.325356, 0.322419, 0.319823,
24848  0.319126, 0.317481, 0.319264, 0.317737, 0.319823, 0.322017,
24849  0.326218, 0.32917, 0.335529, 0.34008, 0.346681, 0.353757,
24850  0.362092, 0.37049, 0.381109, 0.391344, 0.402593, 0.41545,
24851  0.426615, 0.440193, 0.4553, 0.468825, 0.483673, 0.498327,
24852  0.512019, 0.529052, 0.541208, 0.556194, 0.572235, 0.584986,
24853  0.595792, 0.608619, 0.622232, 0.629686, 0.640858, 0.648748,
24854  0.653525, 0.660884, 0.663249, 0.667656, 0.668106, 0.669613,
24855  0.681776, 0.682726, 0.679176, 0.676129, 0.671439, 0.665681,
24856  0.659477, 0.650997, 0.640492, 0.631185, 0.6192, 0.605355,
24857  0.590591, 0.579308, 0.564807, 0.549784, 0.534951, 0.518769,
24858  0.502803, 0.487738, 0.473382, 0.457962, 0.443491, 0.432296,
24859  0.41627, 0.404187, 0.393563, 0.382017, 0.372389, 0.362886,
24860  0.355097, 0.34837, 0.341666, 0.335495, 0.330236, 0.325923,
24861  0.323068, 0.320425, 0.319035, 0.317795, 0.317798, 0.318983,
24862  0.320058, 0.323697, 0.325281, 0.330697, 0.334945, 0.341035,
24863  0.347673, 0.355312, 0.363194, 0.37272, 0.382643, 0.393727,
24864  0.404194, 0.415954, 0.430348, 0.442832, 0.458484, 0.471426,
24865  0.488546, 0.503196, 0.519802, 0.535329, 0.550573, 0.564495,
24866  0.579506, 0.593477, 0.606758, 0.621057, 0.630094, 0.641998,
24867  0.650296, 0.657167, 0.667695, 0.671313, 0.676747, 0.678985,
24868  0.680892, 0.682924, 0.696151, 0.695576, 0.691389, 0.688274,
24869  0.682287, 0.676404, 0.671081, 0.660579, 0.653449, 0.642025,
24870  0.629534, 0.614102, 0.60208, 0.586858, 0.572121, 0.55627,
24871  0.541517, 0.52368, 0.509026, 0.493423, 0.477431, 0.461478,
24872  0.44724, 0.432945, 0.420758, 0.406802, 0.395443, 0.383836,
24873  0.374316, 0.364821, 0.35609, 0.348484, 0.34203, 0.33587,
24874  0.331093, 0.326755, 0.323549, 0.320387, 0.318928, 0.31845,
24875  0.31836, 0.318933, 0.320705, 0.322289, 0.326059, 0.330806,
24876  0.335225, 0.342224, 0.348642, 0.356219, 0.364473, 0.374029,
24877  0.383596, 0.395645, 0.406474, 0.4212, 0.432498, 0.447289,
24878  0.460581, 0.477237, 0.492363, 0.506918, 0.523878, 0.541357,
24879  0.556609, 0.571755, 0.585455, 0.600814, 0.61414, 0.628146,
24880  0.640569, 0.65073, 0.660583, 0.669635, 0.678615, 0.68289,
24881  0.69023, 0.690748, 0.694741, 0.693543, 0.708479, 0.707602,
24882  0.703884, 0.699316, 0.695526, 0.688655, 0.680979, 0.670913,
24883  0.662124, 0.650963, 0.63745, 0.624645, 0.61069, 0.593504,
24884  0.578778, 0.562062, 0.546924, 0.528385, 0.5138, 0.495295,
24885  0.481099, 0.463647, 0.449848, 0.434958, 0.42178, 0.408835,
24886  0.397426, 0.386223, 0.374672, 0.365966, 0.355894, 0.348747,
24887  0.34276, 0.336321, 0.331567, 0.327322, 0.323724, 0.32064,
24888  0.319768, 0.319143, 0.319175, 0.319564, 0.321034, 0.323567,
24889  0.327621, 0.331428, 0.336673, 0.341575, 0.34992, 0.356871,
24890  0.365583, 0.375681, 0.385293, 0.396782, 0.409555, 0.422318,
24891  0.436498, 0.449466, 0.465824, 0.481732, 0.497713, 0.51184,
24892  0.529521, 0.546581, 0.564681, 0.578668, 0.595243, 0.609992,
24893  0.623456, 0.637919, 0.650113, 0.662402, 0.671, 0.681124,
24894  0.689227, 0.695881, 0.700472, 0.700616, 0.70515, 0.706813,
24895  0.718362, 0.719121, 0.716303, 0.711152, 0.707979, 0.699476,
24896  0.694268, 0.683721, 0.670776, 0.6618, 0.649358, 0.633644,
24897  0.61819, 0.601302, 0.588177, 0.568769, 0.554051, 0.533925,
24898  0.518475, 0.50233, 0.486876, 0.468985, 0.453642, 0.439202,
24899  0.424602, 0.411763, 0.398787, 0.386803, 0.376163, 0.368013,
24900  0.358145, 0.349976, 0.342956, 0.336656, 0.332306, 0.326574,
24901  0.324365, 0.321995, 0.320451, 0.318995, 0.319759, 0.320425,
24902  0.322226, 0.323948, 0.32751, 0.332077, 0.337025, 0.342186,
24903  0.348564, 0.35728, 0.368096, 0.374303, 0.386528, 0.399329,
24904  0.412259, 0.42456, 0.438168, 0.45249, 0.467845, 0.483837,
24905  0.500706, 0.517705, 0.535706, 0.553322, 0.569574, 0.586137,
24906  0.601672, 0.619006, 0.633617, 0.647951, 0.662265, 0.672964,
24907  0.683946, 0.690481, 0.700418, 0.705737, 0.712784, 0.714523,
24908  0.716368, 0.720242, 0.733451, 0.733268, 0.72868, 0.724742,
24909  0.720543, 0.711278, 0.705821, 0.69495, 0.682348, 0.670817,
24910  0.659954, 0.642521, 0.627356, 0.612161, 0.592658, 0.57352,
24911  0.558554, 0.540697, 0.523771, 0.507303, 0.489099, 0.472966,
24912  0.457558, 0.440853, 0.426962, 0.412957, 0.40011, 0.388073,
24913  0.377809, 0.367859, 0.360058, 0.351024, 0.343478, 0.337643,
24914  0.332901, 0.329341, 0.324264, 0.322296, 0.320412, 0.31942,
24915  0.319816, 0.321022, 0.322366, 0.324534, 0.328263, 0.332529,
24916  0.337718, 0.343686, 0.351335, 0.358705, 0.36866, 0.378424,
24917  0.388137, 0.400682, 0.412953, 0.427008, 0.44152, 0.456307,
24918  0.473412, 0.488931, 0.505854, 0.523542, 0.54109, 0.556849,
24919  0.575461, 0.593657, 0.611239, 0.625907, 0.643097, 0.65637,
24920  0.669002, 0.682093, 0.691736, 0.706088, 0.71318, 0.718847,
24921  0.72513, 0.728433, 0.728894, 0.730964, 0.743917, 0.744386,
24922  0.739201, 0.734774, 0.733508, 0.724234, 0.713207, 0.706443,
24923  0.693848, 0.681963, 0.667817, 0.653304, 0.634533, 0.619334,
24924  0.600741, 0.583361, 0.561902, 0.54379, 0.526078, 0.509774,
24925  0.494159, 0.475559, 0.459914, 0.444719, 0.429543, 0.415713,
24926  0.4031, 0.390746, 0.379586, 0.369514, 0.359696, 0.351808,
24927  0.345061, 0.338866, 0.334598, 0.328989, 0.325009, 0.32265,
24928  0.321391, 0.319964, 0.319297, 0.320761, 0.322438, 0.324232,
24929  0.328656, 0.332846, 0.338274, 0.344521, 0.350759, 0.359713,
24930  0.370443, 0.378371, 0.390437, 0.40286, 0.41468, 0.430058,
24931  0.441451, 0.459033, 0.477656, 0.491658, 0.509735, 0.527546,
24932  0.544903, 0.564212, 0.582298, 0.601382, 0.618579, 0.635901,
24933  0.65285, 0.667904, 0.681666, 0.693189, 0.707278, 0.718328,
24934  0.726606, 0.733466, 0.736661, 0.741168, 0.741992, 0.743757,
24935  0.75782, 0.756314, 0.75332, 0.750922, 0.742583, 0.736798,
24936  0.726229, 0.716479, 0.705409, 0.690641, 0.676712, 0.662585,
24937  0.644107, 0.627966, 0.604352, 0.589836, 0.572071, 0.552842,
24938  0.532759, 0.515489, 0.497846, 0.479006, 0.460703, 0.446298,
24939  0.430901, 0.418249, 0.403554, 0.392461, 0.380305, 0.371799,
24940  0.361387, 0.352751, 0.345262, 0.339481, 0.33322, 0.329124,
24941  0.326092, 0.323123, 0.321218, 0.320454, 0.32028, 0.321118,
24942  0.322797, 0.325122, 0.329291, 0.334315, 0.33838, 0.345192,
24943  0.352132, 0.360644, 0.369582, 0.38058, 0.39277, 0.405029,
24944  0.418051, 0.432239, 0.446069, 0.462904, 0.478705, 0.495398,
24945  0.5147, 0.532179, 0.552358, 0.569829, 0.587968, 0.607033,
24946  0.625747, 0.646372, 0.660526, 0.677818, 0.690988, 0.705173,
24947  0.715091, 0.727121, 0.734591, 0.74468, 0.748108, 0.756039,
24948  0.756222, 0.75695, 0.769777, 0.767924, 0.766872, 0.761511,
24949  0.755395, 0.74839, 0.740341, 0.729229, 0.716391, 0.703061,
24950  0.685894, 0.670535, 0.651596, 0.636935, 0.615818, 0.59723,
24951  0.575758, 0.556327, 0.538066, 0.520545, 0.500367, 0.481237,
24952  0.464852, 0.447861, 0.43474, 0.418775, 0.406375, 0.39322,
24953  0.381743, 0.372003, 0.361623, 0.353624, 0.345331, 0.339491,
24954  0.334241, 0.328948, 0.324841, 0.322262, 0.321225, 0.320162,
24955  0.32013, 0.320767, 0.323103, 0.325695, 0.329185, 0.333804,
24956  0.339227, 0.345652, 0.352509, 0.360653, 0.371188, 0.3807,
24957  0.392198, 0.405479, 0.418611, 0.433501, 0.448727, 0.465298,
24958  0.482423, 0.500035, 0.520835, 0.54061, 0.556102, 0.576204,
24959  0.595864, 0.616245, 0.63295, 0.653216, 0.670638, 0.685021,
24960  0.701497, 0.716238, 0.728856, 0.740733, 0.748215, 0.758327,
24961  0.762029, 0.768679, 0.767024, 0.770174, 0.785129, 0.781365,
24962  0.778593, 0.775493, 0.767593, 0.762285, 0.753412, 0.73959,
24963  0.725054, 0.709356, 0.694306, 0.677742, 0.661937, 0.641606,
24964  0.62447, 0.603952, 0.581127, 0.565673, 0.540579, 0.524587,
24965  0.504454, 0.486785, 0.468097, 0.453016, 0.436765, 0.42133,
24966  0.407321, 0.394814, 0.382616, 0.372624, 0.362606, 0.354061,
24967  0.346349, 0.339455, 0.334922, 0.329124, 0.326153, 0.323267,
24968  0.321835, 0.320087, 0.320856, 0.321255, 0.322777, 0.325651,
24969  0.32934, 0.335144, 0.338849, 0.346152, 0.353039, 0.362705,
24970  0.373387, 0.381777, 0.394627, 0.406932, 0.42202, 0.436517,
24971  0.452181, 0.468539, 0.486979, 0.50633, 0.523779, 0.543794,
24972  0.562626, 0.583053, 0.600699, 0.623829, 0.643486, 0.662055,
24973  0.676419, 0.695427, 0.710122, 0.724063, 0.740825, 0.752562,
24974  0.757065, 0.769568, 0.774734, 0.781895, 0.781388, 0.782341,
24975  0.795676, 0.794349, 0.792095, 0.788911, 0.781156, 0.770532,
24976  0.763913, 0.753309, 0.738102, 0.722496, 0.707114, 0.690066,
24977  0.668545, 0.649941, 0.63123, 0.610377, 0.588696, 0.568189,
24978  0.548564, 0.528923, 0.507253, 0.488009, 0.471963, 0.453436,
24979  0.437303, 0.423343, 0.409235, 0.396965, 0.383566, 0.373321,
24980  0.363731, 0.354081, 0.34673, 0.340344, 0.334479, 0.330573,
24981  0.326248, 0.32352, 0.320983, 0.321099, 0.320568, 0.321165,
24982  0.323679, 0.326606, 0.330541, 0.334386, 0.341006, 0.346671,
24983  0.35443, 0.362915, 0.373759, 0.385114, 0.395535, 0.409041,
24984  0.422604, 0.43731, 0.453588, 0.474495, 0.491124, 0.508069,
24985  0.526951, 0.549151, 0.568571, 0.587544, 0.609004, 0.630125,
24986  0.652332, 0.671012, 0.689398, 0.706264, 0.721962, 0.737271,
24987  0.751273, 0.762964, 0.773392, 0.783466, 0.785491, 0.792957,
24988  0.795603, 0.798002, 0.809959, 0.807729, 0.805715, 0.800591,
24989  0.794577, 0.781811, 0.772893, 0.761644, 0.750358, 0.730907,
24990  0.71495, 0.697799, 0.678585, 0.658845, 0.638048, 0.616619,
24991  0.596013, 0.57392, 0.552064, 0.532332, 0.510582, 0.491875,
24992  0.472116, 0.456574, 0.439263, 0.422912, 0.410554, 0.395817,
24993  0.385442, 0.373745, 0.363504, 0.355022, 0.346893, 0.341052,
24994  0.335972, 0.330038, 0.326701, 0.324211, 0.322308, 0.321274,
24995  0.320531, 0.322112, 0.323374, 0.327217, 0.329604, 0.334814,
24996  0.339963, 0.348511, 0.355096, 0.364243, 0.373482, 0.384416,
24997  0.395264, 0.410703, 0.426249, 0.441249, 0.455731, 0.474949,
24998  0.491116, 0.51189, 0.530158, 0.554882, 0.572857, 0.593935,
24999  0.616459, 0.637118, 0.658044, 0.677849, 0.69924, 0.717047,
25000  0.733698, 0.748177, 0.765179, 0.7756, 0.787165, 0.795592,
25001  0.803424, 0.806909, 0.810261, 0.810299, 0.8252, 0.821822,
25002  0.819774, 0.815118, 0.806425, 0.798726, 0.784896, 0.776153,
25003  0.760794, 0.744924, 0.725756, 0.709554, 0.685837, 0.666688,
25004  0.644027, 0.624058, 0.601054, 0.577489, 0.557074, 0.535676,
25005  0.515226, 0.494807, 0.477222, 0.459026, 0.441737, 0.425513,
25006  0.411355, 0.399062, 0.386376, 0.376262, 0.364367, 0.356735,
25007  0.34863, 0.341802, 0.335071, 0.330617, 0.326698, 0.324463,
25008  0.321782, 0.321234, 0.321389, 0.322179, 0.32424, 0.326791,
25009  0.330833, 0.334234, 0.342829, 0.347359, 0.355676, 0.364374,
25010  0.375261, 0.386437, 0.397697, 0.412491, 0.426569, 0.441375,
25011  0.459415, 0.474667, 0.496119, 0.514189, 0.53526, 0.557711,
25012  0.580197, 0.601493, 0.621461, 0.644797, 0.667801, 0.688994,
25013  0.707892, 0.728947, 0.744146, 0.759097, 0.776229, 0.78752,
25014  0.79664, 0.808976, 0.812083, 0.818203, 0.823599, 0.823881,
25015  0.837528, 0.836696, 0.833909, 0.829886, 0.819313, 0.810421,
25016  0.800289, 0.789022, 0.772336, 0.751711, 0.736001, 0.718366,
25017  0.698008, 0.673769, 0.650627, 0.629984, 0.608562, 0.585291,
25018  0.563213, 0.539428, 0.520568, 0.500599, 0.480772, 0.461188,
25019  0.445013, 0.428132, 0.413593, 0.399939, 0.386402, 0.376263,
25020  0.366304, 0.357238, 0.348715, 0.341266, 0.335116, 0.330681,
25021  0.326823, 0.32526, 0.322608, 0.32175, 0.322181, 0.322699,
25022  0.324664, 0.32733, 0.331158, 0.336304, 0.341655, 0.349054,
25023  0.35614, 0.366402, 0.376226, 0.387924, 0.400316, 0.412686,
25024  0.42819, 0.444555, 0.462698, 0.481153, 0.49976, 0.517499,
25025  0.539797, 0.562946, 0.583335, 0.607044, 0.629244, 0.649247,
25026  0.673921, 0.697795, 0.717668, 0.736833, 0.753869, 0.771814,
25027  0.785499, 0.799294, 0.810234, 0.820354, 0.827919, 0.830847,
25028  0.839045, 0.837524, 0.852353, 0.851026, 0.848818, 0.841817,
25029  0.835297, 0.825063, 0.811877, 0.799889, 0.782013, 0.764756,
25030  0.747452, 0.727556, 0.704887, 0.680808, 0.658044, 0.638643,
25031  0.611467, 0.589664, 0.568155, 0.544995, 0.523176, 0.501507,
25032  0.484566, 0.464478, 0.445573, 0.42997, 0.416213, 0.400347,
25033  0.387718, 0.375758, 0.366765, 0.3577, 0.350022, 0.341523,
25034  0.336602, 0.330976, 0.328513, 0.324459, 0.322166, 0.32132,
25035  0.321881, 0.322534, 0.324205, 0.327583, 0.331102, 0.336536,
25036  0.342088, 0.349108, 0.357132, 0.36658, 0.376874, 0.387394,
25037  0.40162, 0.414878, 0.429898, 0.445085, 0.463209, 0.482876,
25038  0.501206, 0.522841, 0.544823, 0.569524, 0.591438, 0.611395,
25039  0.634243, 0.659874, 0.680407, 0.707343, 0.725233, 0.74577,
25040  0.766083, 0.784134, 0.799229, 0.810791, 0.822802, 0.833444,
25041  0.84205, 0.848978, 0.851152, 0.848761, 0.864566, 0.862602,
25042  0.858373, 0.853275, 0.847453, 0.837436, 0.824491, 0.809425,
25043  0.797998, 0.778208, 0.755547, 0.73469, 0.71336, 0.691152,
25044  0.666032, 0.640931, 0.62105, 0.593424, 0.572189, 0.550074,
25045  0.525861, 0.504081, 0.484985, 0.465352, 0.447998, 0.430558,
25046  0.417147, 0.402166, 0.388889, 0.377865, 0.366562, 0.358049,
25047  0.350237, 0.343092, 0.337323, 0.331531, 0.327619, 0.324994,
25048  0.322408, 0.321511, 0.322598, 0.322604, 0.325214, 0.327294,
25049  0.332642, 0.336918, 0.342476, 0.35015, 0.356912, 0.367286,
25050  0.378626, 0.389808, 0.401693, 0.415298, 0.432148, 0.448391,
25051  0.465577, 0.486026, 0.505621, 0.52681, 0.548724, 0.573306,
25052  0.594778, 0.620577, 0.642384, 0.665902, 0.689353, 0.712342,
25053  0.733016, 0.757435, 0.775615, 0.795615, 0.810047, 0.823919,
25054  0.837917, 0.84711, 0.853588, 0.862991, 0.86608, 0.866217,
25055  0.877622, 0.88092, 0.871475, 0.869233, 0.860734, 0.847644,
25056  0.838885, 0.82525, 0.805155, 0.78665, 0.766567, 0.745843,
25057  0.722046, 0.697577, 0.670741, 0.649079, 0.623669, 0.598846,
25058  0.574267, 0.551115, 0.529529, 0.508569, 0.488787, 0.468543,
25059  0.450202, 0.432819, 0.417822, 0.403561, 0.389773, 0.379508,
25060  0.366673, 0.3581, 0.350367, 0.343509, 0.337399, 0.332023,
25061  0.328042, 0.32608, 0.323153, 0.32237, 0.322861, 0.323458,
25062  0.324459, 0.328719, 0.332425, 0.336696, 0.342543, 0.349935,
25063  0.358857, 0.36741, 0.377786, 0.390151, 0.404389, 0.4177,
25064  0.43325, 0.45016, 0.46815, 0.487585, 0.508653, 0.531161,
25065  0.550611, 0.577425, 0.601252, 0.624851, 0.648648, 0.675835,
25066  0.697654, 0.721356, 0.743811, 0.764557, 0.790124, 0.805609,
25067  0.822291, 0.834523, 0.850965, 0.85768, 0.868741, 0.87477,
25068  0.877115, 0.878968, 0.892413, 0.891608, 0.88966, 0.883368,
25069  0.871521, 0.865485, 0.850309, 0.834378, 0.815481, 0.798406,
25070  0.774109, 0.754533, 0.730892, 0.703442, 0.684155, 0.656907,
25071  0.628977, 0.605683, 0.581016, 0.557021, 0.532881, 0.510075,
25072  0.490113, 0.470785, 0.45294, 0.435034, 0.419298, 0.403981,
25073  0.392347, 0.378668, 0.369418, 0.359709, 0.351554, 0.343401,
25074  0.336819, 0.331307, 0.328298, 0.326215, 0.323013, 0.322322,
25075  0.323718, 0.323149, 0.325324, 0.328578, 0.331888, 0.337254,
25076  0.344149, 0.351425, 0.359635, 0.367987, 0.379508, 0.390585,
25077  0.403668, 0.419927, 0.435118, 0.451034, 0.471815, 0.491269,
25078  0.512092, 0.533697, 0.556979, 0.580776, 0.605767, 0.629953,
25079  0.657384, 0.681757, 0.705314, 0.731071, 0.756539, 0.777739,
25080  0.798932, 0.818741, 0.835514, 0.848212, 0.866583, 0.876207,
25081  0.882598, 0.89133, 0.892058, 0.893362, 0.909098, 0.907547,
25082  0.903345, 0.89711, 0.886525, 0.876089, 0.864528, 0.846801,
25083  0.829921, 0.814745, 0.787138, 0.763966, 0.74036, 0.713043,
25084  0.687927, 0.662044, 0.636237, 0.610507, 0.5856, 0.559789,
25085  0.537441, 0.514555, 0.49411, 0.472585, 0.455087, 0.438733,
25086  0.421269, 0.406524, 0.392969, 0.381034, 0.368324, 0.360133,
25087  0.351427, 0.344459, 0.337979, 0.332999, 0.328915, 0.326259,
25088  0.323331, 0.322927, 0.322934, 0.323992, 0.326832, 0.32877,
25089  0.332367, 0.337676, 0.344327, 0.350964, 0.359873, 0.368557,
25090  0.37984, 0.391889, 0.406028, 0.421231, 0.438092, 0.454034,
25091  0.472097, 0.493656, 0.514715, 0.538593, 0.559141, 0.587678,
25092  0.609263, 0.635821, 0.664209, 0.690333, 0.713535, 0.739876,
25093  0.764344, 0.787981, 0.807408, 0.832056, 0.848685, 0.86301,
25094  0.877568, 0.885744, 0.896664, 0.902738, 0.905179, 0.909159,
25095  0.922818, 0.921598, 0.918673, 0.912748, 0.903043, 0.887433,
25096  0.877736, 0.860417, 0.842976, 0.819153, 0.797544, 0.770277,
25097  0.748531, 0.723235, 0.695324, 0.669803, 0.644942, 0.61403,
25098  0.590736, 0.56462, 0.538806, 0.516301, 0.495009, 0.477199,
25099  0.456616, 0.438325, 0.421345, 0.406989, 0.394147, 0.380485,
25100  0.37026, 0.359856, 0.350508, 0.343333, 0.338172, 0.332534,
25101  0.328784, 0.32574, 0.323577, 0.322602, 0.322895, 0.323433,
25102  0.325837, 0.329388, 0.332354, 0.33826, 0.344691, 0.35184,
25103  0.360606, 0.369815, 0.382037, 0.393983, 0.405796, 0.421898,
25104  0.438271, 0.453356, 0.474869, 0.494476, 0.516343, 0.540915,
25105  0.562798, 0.584498, 0.616321, 0.640523, 0.668472, 0.694279,
25106  0.723762, 0.747197, 0.771608, 0.796881, 0.821074, 0.842363,
25107  0.859975, 0.874411, 0.889858, 0.901003, 0.909106, 0.917853,
25108  0.923069, 0.923782, 0.936041, 0.937506, 0.93367, 0.924335,
25109  0.916942, 0.905449, 0.89112, 0.872463, 0.855396, 0.830595,
25110  0.806604, 0.784591, 0.753763, 0.73069, 0.702145, 0.674913,
25111  0.648031, 0.620581, 0.595529, 0.56727, 0.545033, 0.518216,
25112  0.498933, 0.47623, 0.457321, 0.440662, 0.423892, 0.406943,
25113  0.3933, 0.382532, 0.371985, 0.36168, 0.352591, 0.345364,
25114  0.339813, 0.332872, 0.328923, 0.326627, 0.324759, 0.32344,
25115  0.323508, 0.323785, 0.326311, 0.329235, 0.333331, 0.338164,
25116  0.342199, 0.351861, 0.36084, 0.371032, 0.38201, 0.394551,
25117  0.408358, 0.422539, 0.438367, 0.45771, 0.476303, 0.499116,
25118  0.521323, 0.543222, 0.56806, 0.593108, 0.619551, 0.646326,
25119  0.675447, 0.702908, 0.730049, 0.756066, 0.780797, 0.806859,
25120  0.831564, 0.855636, 0.870751, 0.889625, 0.904622, 0.913907,
25121  0.925609, 0.933296, 0.937872, 0.935866, 0.954546, 0.951236,
25122  0.945479, 0.942703, 0.929472, 0.918429, 0.904199, 0.883643,
25123  0.865473, 0.842553, 0.819618, 0.792244, 0.765553, 0.740737,
25124  0.707377, 0.683809, 0.654826, 0.626586, 0.597622, 0.57185,
25125  0.546371, 0.523306, 0.499661, 0.478373, 0.459407, 0.440914,
25126  0.423328, 0.410093, 0.39356, 0.381735, 0.37097, 0.360814,
25127  0.352126, 0.344877, 0.340069, 0.334672, 0.329473, 0.326879,
25128  0.325663, 0.323356, 0.323962, 0.323964, 0.325854, 0.329847,
25129  0.33385, 0.338533, 0.344394, 0.352289, 0.361899, 0.371208,
25130  0.382315, 0.39441, 0.407607, 0.422939, 0.44038, 0.460017,
25131  0.480192, 0.500607, 0.522917, 0.547225, 0.571507, 0.601912,
25132  0.625057, 0.654932, 0.679729, 0.708914, 0.736848, 0.767829,
25133  0.795748, 0.818931, 0.844395, 0.868196, 0.88622, 0.900374,
25134  0.914589, 0.928427, 0.938569, 0.947965, 0.94485, 0.951541,
25135  0.966569, 0.960323, 0.959373, 0.953021, 0.941456, 0.93166,
25136  0.91719, 0.897106, 0.878148, 0.853062, 0.831289, 0.800919,
25137  0.773617, 0.748657, 0.716563, 0.688483, 0.657788, 0.630845,
25138  0.602377, 0.57723, 0.549174, 0.527237, 0.50341, 0.479776,
25139  0.460921, 0.441966, 0.425887, 0.410326, 0.39595, 0.383085,
25140  0.371411, 0.362615, 0.354131, 0.346467, 0.339174, 0.333119,
25141  0.329915, 0.326801, 0.324984, 0.323715, 0.324059, 0.324475,
25142  0.326428, 0.329979, 0.33321, 0.339606, 0.345367, 0.352386,
25143  0.362196, 0.372196, 0.384199, 0.395916, 0.41023, 0.425791,
25144  0.442874, 0.461329, 0.481077, 0.503539, 0.525117, 0.549479,
25145  0.576433, 0.602518, 0.629415, 0.657266, 0.688685, 0.720395,
25146  0.747799, 0.775913, 0.80212, 0.828483, 0.850824, 0.878407,
25147  0.896035, 0.914074, 0.929414, 0.946733, 0.953143, 0.960155,
25148  0.964654, 0.965524, 0.981424, 0.980318, 0.973295, 0.966832,
25149  0.959976, 0.945463, 0.929841, 0.909846, 0.889644, 0.866366,
25150  0.839461, 0.81267, 0.781014, 0.754777, 0.729237, 0.698657,
25151  0.665575, 0.633865, 0.606072, 0.581188, 0.555938, 0.529986,
25152  0.505835, 0.484081, 0.461394, 0.444502, 0.426302, 0.411672,
25153  0.396724, 0.384999, 0.373897, 0.362962, 0.353027, 0.34584,
25154  0.340161, 0.334386, 0.330658, 0.327226, 0.325512, 0.324477,
25155  0.324027, 0.325271, 0.326996, 0.329932, 0.334703, 0.338966,
25156  0.34668, 0.353308, 0.361767, 0.372886, 0.385259, 0.396621,
25157  0.412537, 0.426973, 0.444948, 0.462827, 0.483574, 0.505804,
25158  0.530478, 0.552487, 0.581344, 0.607925, 0.634399, 0.664209,
25159  0.695812, 0.72685, 0.75634, 0.785331, 0.811099, 0.840082,
25160  0.865328, 0.887337, 0.909705, 0.928701, 0.945917, 0.956472,
25161  0.969669, 0.975491, 0.977264, 0.981264, 0.998347, 0.996288,
25162  0.992242, 0.985222, 0.972628, 0.957985, 0.94403, 0.921068,
25163  0.905533, 0.880112, 0.849298, 0.821677, 0.794032, 0.761244,
25164  0.730328, 0.702004, 0.66827, 0.640916, 0.612383, 0.58322,
25165  0.556888, 0.53142, 0.508397, 0.485629, 0.465756, 0.444067,
25166  0.427191, 0.411389, 0.398822, 0.384805, 0.374456, 0.362933,
25167  0.354156, 0.346033, 0.339608, 0.334734, 0.33003, 0.327497,
25168  0.324559, 0.323409, 0.323904, 0.324946, 0.32772, 0.330771,
25169  0.336212, 0.339036, 0.345412, 0.354032, 0.362323, 0.374202,
25170  0.384873, 0.398135, 0.413174, 0.428826, 0.444536, 0.464211,
25171  0.485256, 0.509556, 0.531638, 0.555282, 0.583903, 0.610762,
25172  0.63859, 0.671344, 0.701524, 0.734434, 0.761625, 0.792884,
25173  0.821742, 0.84968, 0.877382, 0.897198, 0.923771, 0.945357,
25174  0.961326, 0.975182, 0.987258, 0.99297, 0.996013, 0.997321,
25175  1.01418, 1.01339, 1.00806, 1.00031, 0.988364, 0.973798,
25176  0.954226, 0.934558, 0.912027, 0.886434, 0.859662, 0.831373,
25177  0.801616, 0.769164, 0.74126, 0.70666, 0.674482, 0.646868,
25178  0.615902, 0.586461, 0.56038, 0.532755, 0.509244, 0.488154,
25179  0.467426, 0.448403, 0.428693, 0.413776, 0.398597, 0.3867,
25180  0.372915, 0.36406, 0.355462, 0.346828, 0.34081, 0.334692,
25181  0.331539, 0.327873, 0.325766, 0.324533, 0.324924, 0.32536,
25182  0.327687, 0.330616, 0.335221, 0.340354, 0.346151, 0.35527,
25183  0.363962, 0.373043, 0.385506, 0.397018, 0.413391, 0.428948,
25184  0.448128, 0.465988, 0.488028, 0.510208, 0.533148, 0.560983,
25185  0.584627, 0.614747, 0.646155, 0.676648, 0.709928, 0.737664,
25186  0.770494, 0.802207, 0.828144, 0.863201, 0.889984, 0.913575,
25187  0.935931, 0.954165, 0.973337, 0.988456, 1.00026, 1.00571,
25188  1.01483, 1.00745, 1.02999, 1.02747, 1.02381, 1.01256,
25189  1.00203, 0.989287, 0.966039, 0.945879, 0.926459, 0.899669,
25190  0.873675, 0.84385, 0.810409, 0.775028, 0.744566, 0.713592,
25191  0.681852, 0.652149, 0.616909, 0.59225, 0.564472, 0.537918,
25192  0.512683, 0.48852, 0.468013, 0.44817, 0.430523, 0.413368,
25193  0.398974, 0.38763, 0.374415, 0.364652, 0.35472, 0.347574,
25194  0.340625, 0.334126, 0.330258, 0.327328, 0.326633, 0.324542,
25195  0.324304, 0.325734, 0.327914, 0.330022, 0.335688, 0.340119,
25196  0.347506, 0.354748, 0.363913, 0.374365, 0.387459, 0.399275,
25197  0.415077, 0.428952, 0.448155, 0.469626, 0.488775, 0.513396,
25198  0.537033, 0.563865, 0.591895, 0.62129, 0.651764, 0.680945,
25199  0.711606, 0.745988, 0.779958, 0.810306, 0.839903, 0.873126,
25200  0.901366, 0.924248, 0.945307, 0.969909, 0.990656, 1.00241,
25201  1.01599, 1.02152, 1.02905, 1.02984, 1.04414, 1.04278,
25202  1.03956, 1.02933, 1.01584, 1.00237, 0.982694, 0.961509,
25203  0.936099, 0.912279, 0.879921, 0.851007, 0.820643, 0.788435,
25204  0.756485, 0.718507, 0.689494, 0.654818, 0.624523, 0.595674,
25205  0.564064, 0.540716, 0.514681, 0.491623, 0.470419, 0.45127,
25206  0.432704, 0.415546, 0.398707, 0.386978, 0.37435, 0.364893,
25207  0.355057, 0.34845, 0.341913, 0.334969, 0.330882, 0.328074,
25208  0.326678, 0.325722, 0.325582, 0.32623, 0.328297, 0.330872,
25209  0.335388, 0.342108, 0.34741, 0.354514, 0.364504, 0.375376,
25210  0.387893, 0.400133, 0.414314, 0.430191, 0.449996, 0.468299,
25211  0.49197, 0.51462, 0.539656, 0.564521, 0.595258, 0.624985,
25212  0.657388, 0.687053, 0.722095, 0.757579, 0.790715, 0.819057,
25213  0.852772, 0.884306, 0.909297, 0.935908, 0.962496, 0.983091,
25214  0.998282, 1.02097, 1.02767, 1.03785, 1.03902, 1.04373,
25215  1.05921, 1.05301, 1.05173, 1.04043, 1.03382, 1.01718,
25216  0.995399, 0.980082, 0.950237, 0.922909, 0.89446, 0.860688,
25217  0.824918, 0.795359, 0.762273, 0.726435, 0.693448, 0.659485,
25218  0.628207, 0.600734, 0.569749, 0.543035, 0.515516, 0.49292,
25219  0.470106, 0.451693, 0.432365, 0.414432, 0.400202, 0.388778,
25220  0.377184, 0.364552, 0.355975, 0.347984, 0.340387, 0.33503,
25221  0.33221, 0.328256, 0.327, 0.325581, 0.325358, 0.326607,
25222  0.327271, 0.33225, 0.335803, 0.341705, 0.347433, 0.35584,
25223  0.365263, 0.375882, 0.387375, 0.400701, 0.41516, 0.434348,
25224  0.450237, 0.472265, 0.493313, 0.515985, 0.542585, 0.568445,
25225  0.599006, 0.628439, 0.660564, 0.693353, 0.728417, 0.761332,
25226  0.796354, 0.827084, 0.863487, 0.895318, 0.921273, 0.950165,
25227  0.975453, 0.995769, 1.01744, 1.03011, 1.04379, 1.05644,
25228  1.05673, 1.0589, 1.07656, 1.0722, 1.06858, 1.06124,
25229  1.0481, 1.03074, 1.01184, 0.990229, 0.958321, 0.933334,
25230  0.903596, 0.870827, 0.839552, 0.804274, 0.767429, 0.734804,
25231  0.698046, 0.663428, 0.636054, 0.601534, 0.572033, 0.545079,
25232  0.519398, 0.496409, 0.473378, 0.451667, 0.433128, 0.415996,
25233  0.401003, 0.389316, 0.377441, 0.365574, 0.355893, 0.348123,
25234  0.341982, 0.336768, 0.331736, 0.328249, 0.326675, 0.326373,
25235  0.325946, 0.326391, 0.328156, 0.332056, 0.336958, 0.340932,
25236  0.348424, 0.357685, 0.365227, 0.375699, 0.388473, 0.401727,
25237  0.417315, 0.433257, 0.452353, 0.473935, 0.496108, 0.518757,
25238  0.542676, 0.574477, 0.601546, 0.634361, 0.666699, 0.695152,
25239  0.732249, 0.765232, 0.804709, 0.835995, 0.868604, 0.906292,
25240  0.93243, 0.962946, 0.986107, 1.01206, 1.02981, 1.04888,
25241  1.05934, 1.06928, 1.07415, 1.07811, 1.09038, 1.09012,
25242  1.08186, 1.07437, 1.06658, 1.04364, 1.02941, 1.00121,
25243  0.974725, 0.946924, 0.915939, 0.880218, 0.847567, 0.811138,
25244  0.774799, 0.740699, 0.703083, 0.668926, 0.637278, 0.606118,
25245  0.578252, 0.546772, 0.519832, 0.496455, 0.47477, 0.453783,
25246  0.43519, 0.416579, 0.401941, 0.388786, 0.376394, 0.367033,
25247  0.356996, 0.347299, 0.341607, 0.335996, 0.331975, 0.328122,
25248  0.326859, 0.32673, 0.325623, 0.327968, 0.328781, 0.33208,
25249  0.336817, 0.343506, 0.349252, 0.356676, 0.365409, 0.378088,
25250  0.388595, 0.402501, 0.416289, 0.433738, 0.453844, 0.474034,
25251  0.496401, 0.522673, 0.547851, 0.575148, 0.607761, 0.638681,
25252  0.670718, 0.70666, 0.739494, 0.775238, 0.808556, 0.846877,
25253  0.87888, 0.912305, 0.945753, 0.972277, 1.0014, 1.02738,
25254  1.04465, 1.06378, 1.07351, 1.0827, 1.09144, 1.09331,
25255  1.10862, 1.10766, 1.10168, 1.08963, 1.07799, 1.05968,
25256  1.03624, 1.01487, 0.990179, 0.959103, 0.924694, 0.889907,
25257  0.852654, 0.81712, 0.782033, 0.744581, 0.709383, 0.673429,
25258  0.639314, 0.607868, 0.57792, 0.548956, 0.522925, 0.499211,
25259  0.476387, 0.456387, 0.436113, 0.417746, 0.404137, 0.390147,
25260  0.376584, 0.366867, 0.357163, 0.348852, 0.341312, 0.33685,
25261  0.332366, 0.329536, 0.326007, 0.325783, 0.325997, 0.32791,
25262  0.328897, 0.332247, 0.336512, 0.34267, 0.348863, 0.357392,
25263  0.366692, 0.376746, 0.389621, 0.403874, 0.419385, 0.436155,
25264  0.454557, 0.476493, 0.49888, 0.522761, 0.551088, 0.579079,
25265  0.608741, 0.640363, 0.672217, 0.70963, 0.746041, 0.778791,
25266  0.816792, 0.852658, 0.890929, 0.92525, 0.959964, 0.985451,
25267  1.00961, 1.0396, 1.06317, 1.07877, 1.08978, 1.1003,
25268  1.10482, 1.1058, 1.12511, 1.1242, 1.11534, 1.10949,
25269  1.09419, 1.07553, 1.05204, 1.02948, 1.00398, 0.969932,
25270  0.937098, 0.9001, 0.862701, 0.823797, 0.788374, 0.753736,
25271  0.713108, 0.67884, 0.64519, 0.611109, 0.582618, 0.550932,
25272  0.526803, 0.500066, 0.477134, 0.457161, 0.437642, 0.419187,
25273  0.404595, 0.390322, 0.379302, 0.367017, 0.358335, 0.348855,
25274  0.343111, 0.336222, 0.332423, 0.328859, 0.327672, 0.32675,
25275  0.326952, 0.328218, 0.32974, 0.332725, 0.336559, 0.34292,
25276  0.350093, 0.357201, 0.366557, 0.37825, 0.39091, 0.403645,
25277  0.418558, 0.436754, 0.456315, 0.47824, 0.501591, 0.525399,
25278  0.552258, 0.579621, 0.612028, 0.645533, 0.680392, 0.714816,
25279  0.750102, 0.789277, 0.826969, 0.861165, 0.902525, 0.935752,
25280  0.971953, 0.997306, 1.03272, 1.05569, 1.07629, 1.09523,
25281  1.1059, 1.11528, 1.12243, 1.12321, 1.1405, 1.13976,
25282  1.13396, 1.12281, 1.10886, 1.09295, 1.06402, 1.04463,
25283  1.01744, 0.9802, 0.946649, 0.90935, 0.868844, 0.835232,
25284  0.796488, 0.755501, 0.718896, 0.683797, 0.651596, 0.613054,
25285  0.584414, 0.555374, 0.528183, 0.499646, 0.47978, 0.457432,
25286  0.438977, 0.418794, 0.404453, 0.390879, 0.378596, 0.367473,
25287  0.358288, 0.349748, 0.34221, 0.337997, 0.332355, 0.33035,
25288  0.327145, 0.326896, 0.326556, 0.328379, 0.330184, 0.332636,
25289  0.337599, 0.342403, 0.349633, 0.360258, 0.368381, 0.37859,
25290  0.390772, 0.404945, 0.420994, 0.439194, 0.457699, 0.478728,
25291  0.501785, 0.528419, 0.554939, 0.584124, 0.617542, 0.64985,
25292  0.684464, 0.719537, 0.755421, 0.79595, 0.833471, 0.87321,
25293  0.914913, 0.94851, 0.977283, 1.01119, 1.04246, 1.06866,
25294  1.09006, 1.10486, 1.12277, 1.13219, 1.13916, 1.14191,
25295  1.15885, 1.15431, 1.14663, 1.13795, 1.12337, 1.10284,
25296  1.08568, 1.0537, 1.02649, 0.996471, 0.957391, 0.919478,
25297  0.884119, 0.842751, 0.80053, 0.760035, 0.726007, 0.688533,
25298  0.656507, 0.619749, 0.588528, 0.557623, 0.530025, 0.503539,
25299  0.479456, 0.45874, 0.439518, 0.42199, 0.40543, 0.390826,
25300  0.378619, 0.366806, 0.358765, 0.350717, 0.342989, 0.33726,
25301  0.334173, 0.330862, 0.328459, 0.327039, 0.326749, 0.328509,
25302  0.330239, 0.333562, 0.337268, 0.344881, 0.350171, 0.35936,
25303  0.368495, 0.378749, 0.391825, 0.405811, 0.421059, 0.439068,
25304  0.458015, 0.479731, 0.502754, 0.530067, 0.557818, 0.586256,
25305  0.62015, 0.652084, 0.686863, 0.727525, 0.764306, 0.805349,
25306  0.845055, 0.877488, 0.914906, 0.957917, 0.99064, 1.02685,
25307  1.05817, 1.08178, 1.10692, 1.12602, 1.13615, 1.14961,
25308  1.15605, 1.16066, 1.17486, 1.17329, 1.16439, 1.15747,
25309  1.13568, 1.11722, 1.09721, 1.06507, 1.03674, 1.00516,
25310  0.96989, 0.931889, 0.889999, 0.846458, 0.812792, 0.768062,
25311  0.731071, 0.695332, 0.654437, 0.621904, 0.592623, 0.559972,
25312  0.532701, 0.506571, 0.481385, 0.459567, 0.440063, 0.422558,
25313  0.406753, 0.392236, 0.379503, 0.369261, 0.35891, 0.351179,
25314  0.344463, 0.33865, 0.334533, 0.330803, 0.328567, 0.327235,
25315  0.327382, 0.328328, 0.330461, 0.333696, 0.338114, 0.344711,
25316  0.352307, 0.358775, 0.369126, 0.380446, 0.392301, 0.406085,
25317  0.422893, 0.44115, 0.460608, 0.479849, 0.504851, 0.53227,
25318  0.55982, 0.590969, 0.623604, 0.657499, 0.695328, 0.729702,
25319  0.769995, 0.809399, 0.848513, 0.891101, 0.930261, 0.96912,
25320  1.00651, 1.04297, 1.06603, 1.10092, 1.11544, 1.14274,
25321  1.15587, 1.16384, 1.17687, 1.17322, 1.19243, 1.19203,
25322  1.18342, 1.16901, 1.15001, 1.13795, 1.11124, 1.08031,
25323  1.05105, 1.01654, 0.97797, 0.936594, 0.899318, 0.859128,
25324  0.817181, 0.777049, 0.738598, 0.699354, 0.662692, 0.628443,
25325  0.59207, 0.560525, 0.532701, 0.506201, 0.482106, 0.460414,
25326  0.441303, 0.422916, 0.407355, 0.392774, 0.380058, 0.367704,
25327  0.359824, 0.351377, 0.345324, 0.337909, 0.334486, 0.331398,
25328  0.329136, 0.327252, 0.327297, 0.329479, 0.33087, 0.334192,
25329  0.338012, 0.344281, 0.350566, 0.358091, 0.36951, 0.378808,
25330  0.3924, 0.407096, 0.423736, 0.440311, 0.45999, 0.484775,
25331  0.507669, 0.533967, 0.561246, 0.593729, 0.627025, 0.658383,
25332  0.698321, 0.738697, 0.77724, 0.817826, 0.857985, 0.895612,
25333  0.939816, 0.976597, 1.01547, 1.05166, 1.08379, 1.10828,
25334  1.13512, 1.16007, 1.16972, 1.18415, 1.18699, 1.19022,
25335  1.20743, 1.20857, 1.19791, 1.18735, 1.17097, 1.15485,
25336  1.12306, 1.09505, 1.06358, 1.02959, 0.990842, 0.951576,
25337  0.908648, 0.866842, 0.821105, 0.782208, 0.739548, 0.702851,
25338  0.664225, 0.626651, 0.595872, 0.565291, 0.535771, 0.508786,
25339  0.485122, 0.462244, 0.442603, 0.423782, 0.408286, 0.393178,
25340  0.382223, 0.369286, 0.359081, 0.351869, 0.34464, 0.339432,
25341  0.3353, 0.33172, 0.328545, 0.32733, 0.328169, 0.328819,
25342  0.331211, 0.33393, 0.338253, 0.345008, 0.352658, 0.359288,
25343  0.369042, 0.380863, 0.39319, 0.407988, 0.424754, 0.441589,
25344  0.461275, 0.483872, 0.507463, 0.537231, 0.563324, 0.595308,
25345  0.628409, 0.664732, 0.703091, 0.742377, 0.78254, 0.820975,
25346  0.869584, 0.908713, 0.950771, 0.989638, 1.02648, 1.06538,
25347  1.10012, 1.12629, 1.15041, 1.17366, 1.18779, 1.19979,
25348  1.20836, 1.20798, 1.22869, 1.22102, 1.22006, 1.20377,
25349  1.18726, 1.16427, 1.13972, 1.10781, 1.07426, 1.03946,
25350  1.00189, 0.959896, 0.91801, 0.878411, 0.83013, 0.790196,
25351  0.743708, 0.705913, 0.66575, 0.630975, 0.597729, 0.568662,
25352  0.536152, 0.512103, 0.484478, 0.463113, 0.443305, 0.423828,
25353  0.407683, 0.394505, 0.381522, 0.37059, 0.359475, 0.352437,
25354  0.344502, 0.33948, 0.334967, 0.330519, 0.328364, 0.32884,
25355  0.328327, 0.328351, 0.331808, 0.335168, 0.339237, 0.345397,
25356  0.352119, 0.359397, 0.369422, 0.382132, 0.394212, 0.407142,
25357  0.424594, 0.442843, 0.464246, 0.485038, 0.512336, 0.53876,
25358  0.56708, 0.59962, 0.633461, 0.665708, 0.704143, 0.747494,
25359  0.790097, 0.832479, 0.87366, 0.914414, 0.958611, 1.00007,
25360  1.04211, 1.07936, 1.11222, 1.13984, 1.16595, 1.18284,
25361  1.20375, 1.21243, 1.223, 1.2286, 1.24406, 1.24472,
25362  1.23933, 1.21975, 1.20127, 1.18247, 1.15671, 1.12134,
25363  1.08986, 1.05162, 1.01451, 0.968944, 0.925697, 0.885347,
25364  0.837352, 0.795443, 0.754235, 0.712997, 0.669388, 0.636157,
25365  0.601191, 0.571221, 0.540491, 0.510967, 0.486747, 0.464292,
25366  0.44229, 0.425479, 0.408537, 0.393491, 0.381583, 0.371429,
25367  0.359829, 0.352129, 0.345845, 0.339478, 0.335139, 0.331477,
25368  0.329909, 0.32747, 0.327708, 0.33011, 0.333327, 0.334756,
25369  0.338475, 0.345203, 0.351106, 0.361402, 0.371089, 0.380126,
25370  0.393544, 0.410749, 0.427465, 0.444902, 0.464684, 0.486136,
25371  0.512416, 0.536274, 0.56944, 0.60028, 0.633781, 0.671439,
25372  0.709867, 0.749778, 0.795672, 0.83829, 0.880611, 0.922608,
25373  0.969798, 1.01078, 1.05135, 1.09164, 1.12491, 1.15578,
25374  1.18747, 1.2039, 1.21749, 1.23239, 1.24329, 1.24316,
25375  1.26408, 1.25467, 1.24874, 1.24071, 1.22031, 1.19542,
25376  1.17041, 1.13676, 1.09985, 1.06381, 1.02367, 0.980726,
25377  0.937361, 0.888184, 0.846107, 0.803096, 0.758548, 0.718305,
25378  0.678939, 0.63904, 0.602617, 0.571552, 0.540289, 0.512557,
25379  0.488276, 0.465523, 0.445036, 0.426603, 0.409883, 0.395325,
25380  0.381644, 0.371914, 0.361369, 0.353334, 0.34604, 0.339927,
25381  0.335598, 0.331673, 0.328855, 0.328614, 0.328247, 0.329734,
25382  0.331696, 0.335178, 0.339769, 0.345181, 0.353123, 0.360128,
25383  0.371445, 0.381773, 0.394917, 0.408949, 0.424727, 0.445005,
25384  0.466606, 0.488375, 0.515066, 0.54024, 0.571373, 0.60203,
25385  0.635524, 0.679751, 0.715281, 0.75917, 0.797044, 0.842721,
25386  0.891536, 0.937128, 0.976509, 1.02519, 1.06446, 1.10479,
25387  1.13654, 1.16901, 1.19293, 1.21952, 1.2411, 1.25291,
25388  1.26058, 1.26142, 1.27997, 1.27515, 1.26756, 1.25529,
25389  1.24161, 1.21212, 1.18381, 1.15088, 1.11716, 1.07902,
25390  1.03591, 0.98889, 0.938783, 0.895638, 0.849665, 0.803561,
25391  0.761663, 0.719724, 0.679488, 0.641476, 0.604795, 0.575526,
25392  0.541982, 0.515222, 0.488405, 0.46449, 0.444738, 0.42615,
25393  0.409769, 0.395844, 0.382384, 0.371106, 0.361868, 0.352758,
25394  0.345602, 0.340678, 0.335944, 0.332339, 0.329088, 0.329683,
25395  0.329544, 0.329972, 0.332713, 0.336458, 0.340565, 0.346238,
25396  0.353917, 0.361972, 0.36986, 0.38376, 0.395085, 0.410692,
25397  0.427789, 0.445646, 0.464627, 0.489938, 0.515974, 0.54178,
25398  0.574012, 0.607548, 0.639955, 0.678623, 0.718332, 0.762239,
25399  0.807424, 0.850915, 0.900039, 0.943507, 0.991849, 1.03852,
25400  1.07876, 1.11783, 1.15494, 1.18479, 1.21235, 1.23875,
25401  1.25822, 1.27157, 1.27044, 1.27552, 1.2994, 1.29301,
25402  1.28788, 1.27222, 1.25616, 1.22975, 1.20103, 1.16869,
25403  1.13044, 1.08534, 1.04294, 1.00081, 0.949071, 0.908305,
25404  0.856886, 0.813193, 0.766449, 0.725436, 0.682993, 0.646673,
25405  0.608703, 0.575392, 0.54374, 0.51584, 0.490377, 0.4678,
25406  0.448101, 0.429021, 0.411183, 0.395397, 0.385079, 0.372548,
25407  0.361805, 0.355228, 0.346976, 0.341189, 0.33605, 0.333,
25408  0.331242, 0.327981, 0.329616, 0.332277, 0.333195, 0.336212,
25409  0.340726, 0.34563, 0.35451, 0.361753, 0.373167, 0.382017,
25410  0.39571, 0.410863, 0.428148, 0.445226, 0.468585, 0.491376,
25411  0.515905, 0.543866, 0.573608, 0.609321, 0.643173, 0.687031,
25412  0.725741, 0.77062, 0.812339, 0.859891, 0.906258, 0.951019,
25413  0.999872, 1.04255, 1.09148, 1.12913, 1.166, 1.20541,
25414  1.22899, 1.25644, 1.27581, 1.28462, 1.29895, 1.29868,
25415  1.31123, 1.31205, 1.30459, 1.28846, 1.27031, 1.24505,
25416  1.21471, 1.18338, 1.14454, 1.10043, 1.06086, 1.01133,
25417  0.959793, 0.914482, 0.864562, 0.816506, 0.773099, 0.730103,
25418  0.688533, 0.649381, 0.6099, 0.5754, 0.545334, 0.518708,
25419  0.490617, 0.467353, 0.446233, 0.428781, 0.410676, 0.39595,
25420  0.384347, 0.373356, 0.363756, 0.354649, 0.348136, 0.341474,
25421  0.336369, 0.332459, 0.330625, 0.330391, 0.331164, 0.330007,
25422  0.334072, 0.335935, 0.341137, 0.346778, 0.353293, 0.362963,
25423  0.372012, 0.383547, 0.398539, 0.411397, 0.427721, 0.445821,
25424  0.468131, 0.494586, 0.518383, 0.546131, 0.575774, 0.611246,
25425  0.64524, 0.688807, 0.729996, 0.768626, 0.81953, 0.865885,
25426  0.912214, 0.960963, 1.00826, 1.05118, 1.10127, 1.14486,
25427  1.185, 1.21542, 1.24566, 1.26665, 1.29432, 1.30353,
25428  1.31396, 1.31398, 1.33501, 1.33347, 1.32344, 1.31017,
25429  1.28617, 1.26103, 1.23201, 1.19678, 1.15503, 1.11488,
25430  1.06907, 1.01763, 0.968414, 0.919047, 0.872962, 0.824456,
25431  0.777956, 0.73289, 0.691297, 0.6493, 0.615006, 0.579282,
25432  0.54893, 0.521049, 0.492752, 0.469798, 0.449245, 0.42846,
25433  0.412022, 0.39849, 0.385228, 0.372588, 0.362755, 0.35425,
25434  0.348004, 0.34207, 0.337729, 0.333846, 0.331825, 0.331135,
25435  0.329923, 0.331275, 0.334255, 0.337117, 0.342357, 0.348078,
25436  0.354843, 0.362824, 0.372706, 0.386479, 0.397376, 0.412217,
25437  0.428083, 0.447644, 0.469611, 0.493812, 0.518662, 0.548533,
25438  0.579533, 0.613633, 0.651722, 0.690146, 0.736871, 0.777819,
25439  0.824056, 0.871147, 0.918517, 0.968601, 1.02159, 1.06534,
25440  1.11549, 1.15634, 1.19923, 1.22964, 1.26527, 1.28376,
25441  1.31156, 1.32005, 1.33056, 1.33422, 1.35018, 1.34833,
25442  1.34043, 1.32534, 1.30239, 1.2806, 1.24679, 1.20854,
25443  1.16505, 1.12445, 1.08405, 1.03133, 0.975789, 0.925857,
25444  0.881362, 0.829535, 0.783287, 0.730812, 0.694096, 0.654128,
25445  0.612768, 0.577916, 0.549944, 0.521007, 0.493766, 0.470907,
25446  0.447796, 0.430306, 0.412998, 0.399207, 0.384854, 0.373068,
25447  0.363224, 0.354665, 0.347353, 0.341489, 0.337168, 0.334753,
25448  0.331549, 0.330126, 0.330043, 0.330738, 0.334353, 0.338214,
25449  0.343803, 0.347287, 0.3552, 0.363461, 0.373106, 0.384771,
25450  0.397937, 0.41224, 0.430001, 0.448761, 0.470312, 0.494521,
25451  0.519497, 0.550081, 0.581607, 0.615574, 0.653994, 0.69219,
25452  0.733645, 0.783722, 0.826557, 0.876798, 0.929407, 0.978381,
25453  1.0304, 1.07974, 1.12749, 1.17114, 1.20519, 1.24684,
25454  1.2775, 1.30896, 1.32899, 1.34254, 1.34948, 1.35591,
25455  1.36741, 1.36558, 1.35651, 1.34188, 1.32132, 1.28863,
25456  1.25932, 1.22647, 1.18019, 1.14193, 1.09039, 1.03681,
25457  0.987739, 0.93839, 0.885469, 0.833337, 0.786967, 0.741077,
25458  0.697299, 0.65661, 0.617606, 0.582031, 0.552495, 0.522749,
25459  0.495482, 0.472627, 0.45077, 0.431278, 0.414806, 0.398284,
25460  0.386101, 0.374173, 0.364646, 0.356336, 0.349145, 0.342585,
25461  0.338159, 0.332927, 0.332379, 0.330252, 0.332089, 0.332723,
25462  0.334048, 0.338235, 0.341978, 0.34872, 0.356183, 0.363547,
25463  0.373055, 0.385945, 0.399577, 0.415229, 0.430283, 0.448952,
25464  0.473229, 0.496527, 0.522829, 0.550977, 0.581974, 0.621751,
25465  0.657479, 0.698462, 0.74219, 0.789613, 0.833745, 0.885759,
25466  0.936774, 0.990747, 1.04077, 1.08817, 1.13809, 1.18055,
25467  1.22221, 1.26228, 1.29654, 1.32173, 1.34601, 1.36311,
25468  1.36622, 1.37417, 1.38705, 1.38661, 1.37562, 1.364,
25469  1.33931, 1.31194, 1.27558, 1.23644, 1.19894, 1.15061,
25470  1.09734, 1.04702, 0.997721, 0.943866, 0.892313, 0.842504,
25471  0.792076, 0.745584, 0.700334, 0.659424, 0.619505, 0.585901,
25472  0.552853, 0.522296, 0.497091, 0.471956, 0.45095, 0.43209,
25473  0.415153, 0.399195, 0.386662, 0.372241, 0.363715, 0.35546,
25474  0.348418, 0.343436, 0.338485, 0.334649, 0.33217, 0.331984,
25475  0.33165, 0.333159, 0.335789, 0.338628, 0.344493, 0.348808,
25476  0.357125, 0.365969, 0.374235, 0.385857, 0.399184, 0.413548,
25477  0.430596, 0.449974, 0.47326, 0.494201, 0.522871, 0.556064,
25478  0.584517, 0.621114, 0.659512, 0.696662, 0.744302, 0.790044,
25479  0.84131, 0.89133, 0.945021, 0.99657, 1.05032, 1.09917,
25480  1.14884, 1.19442, 1.23831, 1.27844, 1.3125, 1.34211,
25481  1.36006, 1.37945, 1.39073, 1.39262, 1.40749, 1.40485,
25482  1.3918, 1.37923, 1.36151, 1.33156, 1.29534, 1.25112,
25483  1.20546, 1.16267, 1.11691, 1.06273, 1.00582, 0.952407,
25484  0.896656, 0.848254, 0.797151, 0.746232, 0.703396, 0.66273,
25485  0.622441, 0.586168, 0.555057, 0.523443, 0.499349, 0.474903,
25486  0.451762, 0.43267, 0.415645, 0.399397, 0.385411, 0.374152,
25487  0.362977, 0.356273, 0.34948, 0.343473, 0.338881, 0.335015,
25488  0.3334, 0.332123, 0.330509, 0.334216, 0.335521, 0.337826,
25489  0.343335, 0.349181, 0.356755, 0.365172, 0.374651, 0.386444,
25490  0.400454, 0.414802, 0.432983, 0.450301, 0.474118, 0.498395,
25491  0.52657, 0.553826, 0.588951, 0.622876, 0.663291, 0.704895,
25492  0.747105, 0.796122, 0.84817, 0.898677, 0.949402, 1.00503,
25493  1.05766, 1.11171, 1.16379, 1.2106, 1.25204, 1.29531,
25494  1.3276, 1.35677, 1.37844, 1.39334, 1.40611, 1.40925,
25495  1.42889, 1.42278, 1.41363, 1.39853, 1.37124, 1.3448,
25496  1.31045, 1.27173, 1.21969, 1.17496, 1.12469, 1.06671,
25497  1.01382, 0.961753, 0.903447, 0.850358, 0.801243, 0.751845,
25498  0.707514, 0.664541, 0.625938, 0.588345, 0.555839, 0.524938,
25499  0.497938, 0.474282, 0.452075, 0.432525, 0.414398, 0.401887,
25500  0.387302, 0.374821, 0.365695, 0.357596, 0.349414, 0.343808,
25501  0.339489, 0.334802, 0.333336, 0.331653, 0.332393, 0.334033,
25502  0.33643, 0.338521, 0.344796, 0.348731, 0.356726, 0.365203,
25503  0.374182, 0.385712, 0.401167, 0.416343, 0.433208, 0.453703,
25504  0.474194, 0.498468, 0.526219, 0.557509, 0.590164, 0.626929,
25505  0.665544, 0.707423, 0.753908, 0.801681, 0.849096, 0.903577,
25506  0.954962, 1.01213, 1.07062, 1.12105, 1.17679, 1.22265,
25507  1.27553, 1.30633, 1.34593, 1.37576, 1.39574, 1.41734,
25508  1.42406, 1.42733, 1.44289, 1.44361, 1.4321, 1.41094,
25509  1.38897, 1.3582, 1.32702, 1.28121, 1.23701, 1.18971,
25510  1.1377, 1.07707, 1.02523, 0.965962, 0.909655, 0.859304,
25511  0.804571, 0.755025, 0.712673, 0.669163, 0.6277, 0.59167,
25512  0.55805, 0.528404, 0.500538, 0.475456, 0.453493, 0.433139,
25513  0.41876, 0.401308, 0.387867, 0.37555, 0.364657, 0.357946,
25514  0.349946, 0.343653, 0.339638, 0.336162, 0.33433, 0.333808,
25515  0.332437, 0.333211, 0.336424, 0.340153, 0.344228, 0.348991,
25516  0.35758, 0.365955, 0.376368, 0.389434, 0.40037, 0.415637,
25517  0.433143, 0.453417, 0.475948, 0.500718, 0.527558, 0.557368,
25518  0.592391, 0.626975, 0.669239, 0.709211, 0.756325, 0.806333,
25519  0.859647, 0.913426, 0.96973, 1.02225, 1.07603, 1.13538,
25520  1.18575, 1.23656, 1.28156, 1.32249, 1.36117, 1.38932,
25521  1.41305, 1.43395, 1.44137, 1.44635, 1.46753, 1.45976,
25522  1.44813, 1.43826, 1.4109, 1.38122, 1.34115, 1.29447,
25523  1.25087, 1.2001, 1.1432, 1.08674, 1.03107, 0.971876,
25524  0.917628, 0.863826, 0.811317, 0.760123, 0.711404, 0.671816,
25525  0.629198, 0.592391, 0.560018, 0.529342, 0.502155, 0.476333,
25526  0.454683, 0.435145, 0.417113, 0.400919, 0.388095, 0.376348,
25527  0.366639, 0.358379, 0.352031, 0.344555, 0.340764, 0.336507,
25528  0.333745, 0.333334, 0.332521, 0.334677, 0.337549, 0.339814,
25529  0.344253, 0.350592, 0.358653, 0.366503, 0.377419, 0.387703,
25530  0.402543, 0.416041, 0.433966, 0.453226, 0.475815, 0.501682,
25531  0.527874, 0.557784, 0.592116, 0.629011, 0.668206, 0.712826,
25532  0.763924, 0.813097, 0.862804, 0.921079, 0.976235, 1.03379,
25533  1.08713, 1.14923, 1.20193, 1.25731, 1.29163, 1.33394,
25534  1.38002, 1.40979, 1.43107, 1.44783, 1.46085, 1.46345,
25535  1.48027, 1.47362, 1.46835, 1.45444, 1.42954, 1.40073,
25536  1.35966, 1.31424, 1.26497, 1.21055, 1.1607, 1.09974,
25537  1.04118, 0.979155, 0.924774, 0.870015, 0.814584, 0.764432,
25538  0.716673, 0.673872, 0.631749, 0.592814, 0.561048, 0.530082,
25539  0.503295, 0.478312, 0.455129, 0.434687, 0.41778, 0.401308,
25540  0.389224, 0.375919, 0.36735, 0.358112, 0.34967, 0.345769,
25541  0.340084, 0.336937, 0.332423, 0.333462, 0.333755, 0.334994,
25542  0.337284, 0.34032, 0.344994, 0.351382, 0.357944, 0.366339,
25543  0.376877, 0.390482, 0.402482, 0.41802, 0.4345, 0.456021,
25544  0.476181, 0.503257, 0.530501, 0.561471, 0.594629, 0.63054,
25545  0.677277, 0.718027, 0.76606, 0.815706, 0.867006, 0.923908,
25546  0.981489, 1.03999, 1.1031, 1.1614, 1.20763, 1.26707,
25547  1.31233, 1.35893, 1.4003, 1.42609, 1.45585, 1.47304,
25548  1.47745, 1.4825, 1.50755, 1.49673, 1.48992, 1.46822,
25549  1.44709, 1.42122, 1.37394, 1.32541, 1.28026, 1.22928,
25550  1.16725, 1.10565, 1.0519, 0.987594, 0.934169, 0.874594,
25551  0.82019, 0.768771, 0.719636, 0.673464, 0.635368, 0.597073,
25552  0.561604, 0.532755, 0.503124, 0.477893, 0.455365, 0.435473,
25553  0.417662, 0.402616, 0.388995, 0.377424, 0.368486, 0.358421,
25554  0.352165, 0.345116, 0.340256, 0.336832, 0.333888, 0.333582,
25555  0.334293, 0.335015, 0.337726, 0.341169, 0.345349, 0.351146,
25556  0.359561, 0.366802, 0.377049, 0.38935, 0.402616, 0.41913,
25557  0.436117, 0.456334, 0.478202, 0.503734, 0.531336, 0.561387,
25558  0.595975, 0.636504, 0.677864, 0.72099, 0.769095, 0.823671,
25559  0.874407, 0.932709, 0.991125, 1.04856, 1.11125, 1.1676,
25560  1.2263, 1.2775, 1.3259, 1.37724, 1.41816, 1.44524,
25561  1.4685, 1.49002, 1.5042, 1.50327, 1.52526, 1.5194,
25562  1.50614, 1.48653, 1.4638, 1.42696, 1.38494, 1.34482,
25563  1.29506, 1.2341, 1.17734, 1.12152, 1.05874, 0.996226,
25564  0.935218, 0.879582, 0.824998, 0.770666, 0.725073, 0.676834,
25565  0.636592, 0.597657, 0.564914, 0.531687, 0.504279, 0.477496,
25566  0.458137, 0.43532, 0.421151, 0.404003, 0.389766, 0.379058,
25567  0.369468, 0.358706, 0.35127, 0.346238, 0.342313, 0.3394,
25568  0.33474, 0.334638, 0.335339, 0.334496, 0.338752, 0.342474,
25569  0.346842, 0.351527, 0.359185, 0.367185, 0.376525, 0.389247,
25570  0.40456, 0.41937, 0.436228, 0.455876, 0.480958, 0.505713,
25571  0.531924, 0.563984, 0.597355, 0.638586, 0.677963, 0.72266,
25572  0.771512, 0.824113, 0.880748, 0.938482, 0.999056, 1.05489,
25573  1.11795, 1.18135, 1.23692, 1.29037, 1.34745, 1.39164,
25574  1.42974, 1.46411, 1.48991, 1.50698, 1.51683, 1.52041,
25575  1.54383, 1.53894, 1.53241, 1.51037, 1.4848, 1.45361,
25576  1.40172, 1.35749, 1.30644, 1.24894, 1.19588, 1.1312,
25577  1.06327, 1.00532, 0.944537, 0.881908, 0.828456, 0.779283,
25578  0.726709, 0.681334, 0.640058, 0.600032, 0.565581, 0.533102,
25579  0.507287, 0.480566, 0.458133, 0.43943, 0.419416, 0.403992,
25580  0.389598, 0.377954, 0.367396, 0.360243, 0.352287, 0.345066,
25581  0.341194, 0.338259, 0.33564, 0.335265, 0.334078, 0.335657,
25582  0.339108, 0.341891, 0.346666, 0.351998, 0.359223, 0.367386,
25583  0.378633, 0.390036, 0.404244, 0.419801, 0.436197, 0.456784,
25584  0.480207, 0.504786, 0.533315, 0.564121, 0.599231, 0.639455,
25585  0.680792, 0.729024, 0.775726, 0.83058, 0.882937, 0.945673,
25586  1.00508, 1.06437, 1.12851, 1.19089, 1.25275, 1.30779,
25587  1.35821, 1.40769, 1.44936, 1.47792, 1.49948, 1.5351,
25588  1.53819, 1.54378, 1.56816, 1.55527, 1.54987, 1.52136,
25589  1.5015, 1.47052, 1.42147, 1.37246, 1.32049, 1.26177,
25590  1.19752, 1.13123, 1.07684, 1.01091, 0.951461, 0.893343,
25591  0.834557, 0.77666, 0.728879, 0.680861, 0.641724, 0.60298,
25592  0.565349, 0.535462, 0.509804, 0.481077, 0.457893, 0.439564,
25593  0.419641, 0.404778, 0.389735, 0.37967, 0.370241, 0.359955,
25594  0.351642, 0.345578, 0.341998, 0.339251, 0.335805, 0.335421,
25595  0.335429, 0.336543, 0.338416, 0.34174, 0.347484, 0.352392,
25596  0.359568, 0.366745, 0.379547, 0.389777, 0.405189, 0.418604,
25597  0.43847, 0.458385, 0.480318, 0.506765, 0.535836, 0.566874,
25598  0.602697, 0.641518, 0.683359, 0.729683, 0.780828, 0.832281,
25599  0.887974, 0.94994, 1.01527, 1.07839, 1.13924, 1.20223,
25600  1.2655, 1.32434, 1.37576, 1.42496, 1.47025, 1.50497,
25601  1.52868, 1.5484, 1.56144, 1.5644, 1.58014, 1.57953,
25602  1.5611, 1.54426, 1.5199, 1.48109, 1.43878, 1.38777,
25603  1.33239, 1.27258, 1.20786, 1.14834, 1.08188, 1.0255,
25604  0.956125, 0.893347, 0.840506, 0.782482, 0.7362, 0.684155,
25605  0.64106, 0.602938, 0.569204, 0.535443, 0.507783, 0.482217,
25606  0.459316, 0.441062, 0.420621, 0.405426, 0.391096, 0.378957,
25607  0.368261, 0.362025, 0.353757, 0.347802, 0.342282, 0.338119,
25608  0.337144, 0.33607, 0.336536, 0.336568, 0.338534, 0.343078,
25609  0.346858, 0.353677, 0.359525, 0.370006, 0.379476, 0.390787,
25610  0.404964, 0.420583, 0.438306, 0.4571, 0.480733, 0.507612,
25611  0.538638, 0.568643, 0.602968, 0.6436, 0.687221, 0.733405,
25612  0.785819, 0.841119, 0.898369, 0.955057, 1.01913, 1.08196,
25613  1.15062, 1.21212, 1.27263, 1.33566, 1.39007, 1.44082,
25614  1.47673, 1.51298, 1.54534, 1.5724, 1.5735, 1.5845,
25615  1.60669, 1.60314, 1.58546, 1.5621, 1.53401, 1.50377,
25616  1.45926, 1.39962, 1.35381, 1.28623, 1.22371, 1.15685,
25617  1.0919, 1.02821, 0.961486, 0.899352, 0.842172, 0.785113,
25618  0.737031, 0.686817, 0.642826, 0.602575, 0.569688, 0.536442,
25619  0.509526, 0.482137, 0.46086, 0.439511, 0.420381, 0.405559,
25620  0.39192, 0.38022, 0.367519, 0.360168, 0.353437, 0.348079,
25621  0.342752, 0.340421, 0.336416, 0.336641, 0.337306, 0.337437,
25622  0.338844, 0.344258, 0.346626, 0.352919, 0.361114, 0.370703,
25623  0.377873, 0.390967, 0.406581, 0.420327, 0.441112, 0.459247,
25624  0.480707, 0.508245, 0.537757, 0.569612, 0.606835, 0.644885,
25625  0.688377, 0.736615, 0.788946, 0.840193, 0.897617, 0.958862,
25626  1.02778, 1.09221, 1.15793, 1.22674, 1.29441, 1.3452,
25627  1.40311, 1.45083, 1.49614, 1.53692, 1.56364, 1.58424,
25628  1.60046, 1.6022, 1.62765, 1.61731, 1.60621, 1.58637,
25629  1.55749, 1.5164, 1.47203, 1.41949, 1.36192, 1.30029,
25630  1.23246, 1.16476, 1.09626, 1.03356, 0.972002, 0.905537,
25631  0.841348, 0.79062, 0.73681, 0.690367, 0.646418, 0.604509,
25632  0.57238, 0.539161, 0.510368, 0.484703, 0.458854, 0.44006,
25633  0.423114, 0.406131, 0.392069, 0.380284, 0.370691, 0.361127,
25634  0.354037, 0.346345, 0.340652, 0.340901, 0.338106, 0.336781,
25635  0.336728, 0.337754, 0.339568, 0.34452, 0.347815, 0.354826,
25636  0.36091, 0.370097, 0.380131, 0.391287, 0.4075, 0.422215,
25637  0.440887, 0.462599, 0.483723, 0.508992, 0.537369, 0.570439,
25638  0.606091, 0.645541, 0.690066, 0.738781, 0.78906, 0.847236,
25639  0.905815, 0.967327, 1.03308, 1.1047, 1.16792, 1.23309,
25640  1.29193, 1.35763, 1.41695, 1.46781, 1.5163, 1.54826,
25641  1.58371, 1.61224, 1.62184, 1.62796, 1.65321, 1.6381,
25642  1.62963, 1.60117, 1.57774, 1.53075, 1.48155, 1.43285,
25643  1.37627, 1.30858, 1.25064, 1.17504, 1.10382, 1.04065,
25644  0.972239, 0.909468, 0.849691, 0.796572, 0.741569, 0.692548,
25645  0.649079, 0.609164, 0.572613, 0.539473, 0.510182, 0.484184,
25646  0.462122, 0.441131, 0.423526, 0.406459, 0.393457, 0.380005,
25647  0.369334, 0.363259, 0.353883, 0.349358, 0.343625, 0.340456,
25648  0.336932, 0.336161, 0.33711, 0.339353, 0.339952, 0.344687,
25649  0.348646, 0.354475, 0.36196, 0.369454, 0.38143, 0.392656,
25650  0.406627, 0.42186, 0.442847, 0.463342, 0.48309, 0.510063,
25651  0.539576, 0.572773, 0.608299, 0.651276, 0.692441, 0.740173,
25652  0.792667, 0.848311, 0.911718, 0.97731, 1.04511, 1.1109,
25653  1.17647, 1.2459, 1.30808, 1.37365, 1.4346, 1.48548,
25654  1.53588, 1.57643, 1.60254, 1.63264, 1.64059, 1.64953,
25655  1.66342, 1.65886, 1.64968, 1.61897, 1.59116, 1.55314,
25656  1.50933, 1.44866, 1.38932, 1.3302, 1.25603, 1.19248,
25657  1.11672, 1.04795, 0.982827, 0.919588, 0.850915, 0.800716,
25658  0.743494, 0.695118, 0.648889, 0.608047, 0.574378, 0.540068,
25659  0.512557, 0.486175, 0.462865, 0.442439, 0.422436, 0.408213,
25660  0.393197, 0.380912, 0.370315, 0.363106, 0.354447, 0.348999,
25661  0.345434, 0.341977, 0.338829, 0.337705, 0.33713, 0.338813,
25662  0.341852, 0.344584, 0.348976, 0.355605, 0.362679, 0.371385,
25663  0.382506, 0.3942, 0.4066, 0.423378, 0.441123, 0.460814,
25664  0.483258, 0.51189, 0.543641, 0.571076, 0.609485, 0.653583,
25665  0.694451, 0.742972, 0.801102, 0.85535, 0.915886, 0.980856,
25666  1.04998, 1.11846, 1.1848, 1.25688, 1.32317, 1.3877,
25667  1.45306, 1.49872, 1.54939, 1.59689, 1.62687, 1.6443,
25668  1.66205, 1.66607, 1.68323, 1.68334, 1.67428, 1.64844,
25669  1.61192, 1.57518, 1.52084, 1.45916, 1.40736, 1.34011,
25670  1.27037, 1.19181, 1.12617, 1.0531, 0.987708, 0.91976,
25671  0.858339, 0.798051, 0.747685, 0.695804, 0.65081, 0.611208,
25672  0.575808, 0.540541, 0.514048, 0.487284, 0.463731, 0.44263,
25673  0.423625, 0.406669, 0.394928, 0.381609, 0.372013, 0.363567,
25674  0.354729, 0.349418, 0.346052, 0.340761, 0.338737, 0.33912,
25675  0.336825, 0.338532, 0.342487, 0.344431, 0.349815, 0.355378,
25676  0.363623, 0.37063, 0.381793, 0.394845, 0.407897, 0.425433,
25677  0.441829, 0.462534, 0.485439, 0.509846, 0.543447, 0.576227,
25678  0.610945, 0.652275, 0.695797, 0.746194, 0.803534, 0.86044,
25679  0.918212, 0.9873, 1.05467, 1.12525, 1.19788, 1.27225,
25680  1.33619, 1.40406, 1.46459, 1.5198, 1.5756, 1.60924,
25681  1.63691, 1.66275, 1.68111, 1.68427, 1.70752, 1.70148,
25682  1.68522, 1.66531, 1.63281, 1.58949, 1.53696, 1.48199,
25683  1.42079, 1.35307, 1.28102, 1.20472, 1.13782, 1.06674,
25684  0.991517, 0.928099, 0.863594, 0.805475, 0.750968, 0.698805,
25685  0.656576, 0.614453, 0.576467, 0.541136, 0.51369, 0.487368,
25686  0.463975, 0.443804, 0.42607, 0.408796, 0.39478, 0.381241,
25687  0.374384, 0.361577, 0.356483, 0.350893, 0.345122, 0.342023,
25688  0.340447, 0.33729, 0.339696, 0.339467, 0.340916, 0.345521,
25689  0.350176, 0.355609, 0.362025, 0.37171, 0.382078, 0.394887,
25690  0.409372, 0.425219, 0.441531, 0.462518, 0.487025, 0.512668,
25691  0.543561, 0.576243, 0.613668, 0.652385, 0.702767, 0.748211,
25692  0.803508, 0.865401, 0.926966, 0.993428, 1.06066, 1.138,
25693  1.20504, 1.28177, 1.35167, 1.42408, 1.48182, 1.538,
25694  1.58278, 1.63355, 1.65495, 1.68981, 1.70528, 1.70806,
25695  1.73194, 1.72425, 1.70369, 1.68733, 1.65077, 1.60408,
25696  1.5545, 1.50364, 1.43411, 1.36272, 1.2833, 1.21518,
25697  1.14632, 1.0684, 0.99652, 0.931424, 0.868501, 0.809437,
25698  0.753526, 0.699766, 0.655912, 0.614918, 0.578126, 0.544163,
25699  0.514727, 0.487471, 0.463803, 0.443789, 0.42464, 0.409368,
25700  0.396248, 0.384042, 0.373231, 0.362909, 0.357235, 0.350251,
25701  0.346261, 0.341811, 0.339429, 0.340066, 0.338899, 0.339687,
25702  0.343731, 0.345982, 0.351337, 0.356137, 0.3636, 0.372381,
25703  0.381781, 0.395184, 0.408694, 0.426417, 0.443873, 0.464356,
25704  0.486922, 0.512805, 0.545368, 0.57744, 0.61737, 0.6564,
25705  0.702511, 0.754163, 0.808995, 0.867921, 0.923996, 1.00144,
25706  1.0707, 1.1442, 1.21966, 1.29491, 1.36244, 1.43415,
25707  1.49813, 1.55933, 1.61216, 1.64841, 1.68964, 1.70728,
25708  1.72715, 1.72995, 1.7532, 1.73833, 1.7272, 1.70086,
25709  1.66907, 1.62983, 1.57222, 1.51162, 1.44674, 1.37824,
25710  1.30237, 1.21794, 1.15379, 1.07835, 1.00446, 0.935717,
25711  0.872966, 0.811831, 0.753412, 0.707377, 0.657998, 0.618407,
25712  0.580711, 0.545292, 0.514322, 0.488047, 0.465176, 0.444235,
25713  0.425791, 0.409002, 0.396149, 0.384248, 0.373853, 0.363493,
25714  0.356575, 0.351178, 0.34615, 0.344014, 0.342432, 0.340341,
25715  0.339923, 0.341091, 0.341676, 0.345906, 0.35094, 0.358587,
25716  0.365248, 0.372295, 0.383268, 0.396442, 0.408941, 0.42541,
25717  0.444502, 0.465401, 0.489786, 0.515813, 0.544983, 0.578206,
25718  0.61647, 0.658742, 0.705341, 0.754598, 0.811584, 0.871849,
25719  0.937662, 1.00471, 1.07507, 1.14848, 1.23309, 1.30355,
25720  1.3661, 1.44777, 1.5142, 1.5683, 1.62298, 1.66886,
25721  1.69198, 1.72785, 1.74626, 1.74611, 1.77045, 1.7673,
25722  1.75581, 1.72503, 1.68813, 1.64745, 1.58666, 1.52846,
25723  1.46387, 1.38794, 1.31302, 1.23427, 1.1614, 1.08609,
25724  1.00917, 0.944136, 0.873454, 0.813646, 0.760127, 0.705421,
25725  0.660385, 0.615383, 0.580677, 0.547568, 0.515394, 0.48887,
25726  0.464997, 0.444643, 0.425951, 0.411851, 0.396919, 0.383802,
25727  0.374472, 0.365577, 0.356466, 0.351087, 0.346758, 0.343875,
25728  0.340996, 0.340526, 0.340466, 0.341123, 0.342956, 0.347546,
25729  0.351871, 0.357056, 0.364573, 0.37455, 0.383867, 0.396641,
25730  0.409422, 0.42634, 0.446172, 0.465836, 0.489431, 0.51433,
25731  0.544964, 0.580971, 0.615913, 0.660415, 0.706477, 0.759116,
25732  0.812068, 0.876661, 0.935916, 1.00949, 1.0865, 1.1569,
25733  1.24148, 1.3174, 1.38953, 1.45698, 1.52293, 1.58435,
25734  1.63992, 1.6895, 1.72272, 1.75032, 1.7655, 1.7732,
25735  1.78565, 1.78003, 1.77845, 1.74869, 1.70204, 1.66571,
25736  1.60722, 1.54702, 1.46963, 1.403, 1.32389, 1.25075,
25737  1.16233, 1.08514, 1.01469, 0.943401, 0.877153, 0.816411,
25738  0.755936, 0.708654, 0.663672, 0.619681, 0.582538, 0.544819,
25739  0.515768, 0.490499, 0.468051, 0.444464, 0.427713, 0.410543,
25740  0.396362, 0.384713, 0.37429, 0.366954, 0.358889, 0.352654,
25741  0.348626, 0.344362, 0.341881, 0.340945, 0.341242, 0.340838,
25742  0.344065, 0.347671, 0.351759, 0.358398, 0.365621, 0.374518,
25743  0.383676, 0.396049, 0.411835, 0.427099, 0.444521, 0.466705,
25744  0.489637, 0.516355, 0.545921, 0.580994, 0.620977, 0.65918,
25745  0.708849, 0.759173, 0.81603, 0.879601, 0.946485, 1.01564,
25746  1.09175, 1.16852, 1.24443, 1.32192, 1.3983, 1.47857,
25747  1.5478, 1.59936, 1.66456, 1.71067, 1.7461, 1.76285,
25748  1.78378, 1.79243, 1.82067, 1.804, 1.7855, 1.76222,
25749  1.73044, 1.68198, 1.62435, 1.55666, 1.48937, 1.41421,
25750  1.3346, 1.26111, 1.17535, 1.09892, 1.02261, 0.94729,
25751  0.884359, 0.822409, 0.765167, 0.709871, 0.665338, 0.618102,
25752  0.583205, 0.546371, 0.517453, 0.492207, 0.466793, 0.447087,
25753  0.426615, 0.411595, 0.397136, 0.385602, 0.374679, 0.365176,
25754  0.35988, 0.350804, 0.347431, 0.344633, 0.343277, 0.341251,
25755  0.341361, 0.342066, 0.344268, 0.347924, 0.352792, 0.357983,
25756  0.365514, 0.375258, 0.384336, 0.396404, 0.411496, 0.427671,
25757  0.445413, 0.468173, 0.490731, 0.518319, 0.548377, 0.58221,
25758  0.61946, 0.660789, 0.711301, 0.76336, 0.81696, 0.884935,
25759  0.948098, 1.01872, 1.09761, 1.1749, 1.24873, 1.33565,
25760  1.41396, 1.48698, 1.56185, 1.62268, 1.67788, 1.72835,
25761  1.76407, 1.79425, 1.81179, 1.81113, 1.84163, 1.83117,
25762  1.8101, 1.78691, 1.73881, 1.69496, 1.64121, 1.57128,
25763  1.50839, 1.41688, 1.34519, 1.26471, 1.18305, 1.10167,
25764  1.0286, 0.955549, 0.884611, 0.825791, 0.767154, 0.711072,
25765  0.665147, 0.622354, 0.5851, 0.54994, 0.518418, 0.491044,
25766  0.467468, 0.445768, 0.427435, 0.41195, 0.398406, 0.386345,
25767  0.376189, 0.366841, 0.358604, 0.353177, 0.348785, 0.344965,
25768  0.342723, 0.341466, 0.342522, 0.343363, 0.346055, 0.348486,
25769  0.354096, 0.358926, 0.366368, 0.375446, 0.386498, 0.39886,
25770  0.411389, 0.428819, 0.446851, 0.467178, 0.490552, 0.51883,
25771  0.551473, 0.581688, 0.620115, 0.665941, 0.715533, 0.768226,
25772  0.823255, 0.887814, 0.953112, 1.02932, 1.10555, 1.17936,
25773  1.26578, 1.34263, 1.42524, 1.50019, 1.57636, 1.64572,
25774  1.69945, 1.74146, 1.78264, 1.81044, 1.83541, 1.84064,
25775  1.85871, 1.85329, 1.83327, 1.80414, 1.76901, 1.71627,
25776  1.65386, 1.58942, 1.51911, 1.43297, 1.35376, 1.28027,
25777  1.19077, 1.10736, 1.0338, 0.956434, 0.89149, 0.826599,
25778  0.76678, 0.715266, 0.667302, 0.623452, 0.583373, 0.55198,
25779  0.520343, 0.491025, 0.468547, 0.446435, 0.42676, 0.41052,
25780  0.398959, 0.383752, 0.375504, 0.366554, 0.358599, 0.35425,
25781  0.349645, 0.345705, 0.343644, 0.342904, 0.342301, 0.343049,
25782  0.345334, 0.349372, 0.353563, 0.358195, 0.367924, 0.375127,
25783  0.387615, 0.397201, 0.410947, 0.428453, 0.446797, 0.469088,
25784  0.491925, 0.52013, 0.549479, 0.583476, 0.625526, 0.667809,
25785  0.712803, 0.768241, 0.826714, 0.889152, 0.962046, 1.03218,
25786  1.11092, 1.1881, 1.27012, 1.35463, 1.43311, 1.51535,
25787  1.587, 1.65966, 1.71654, 1.76961, 1.8061, 1.83661,
25788  1.84915, 1.86131, 1.88036, 1.87549, 1.85422, 1.82735,
25789  1.7912, 1.73874, 1.67127, 1.60909, 1.53326, 1.45736,
25790  1.37012, 1.28394, 1.19732, 1.11719, 1.03813, 0.965429,
25791  0.895326, 0.827587, 0.77213, 0.718221, 0.668183, 0.626273,
25792  0.588566, 0.552663, 0.520423, 0.492638, 0.469824, 0.44629,
25793  0.428213, 0.414085, 0.39746, 0.386536, 0.375143, 0.366271,
25794  0.360761, 0.354534, 0.351502, 0.345812, 0.341672, 0.340607,
25795  0.343315, 0.34325, 0.344562, 0.348687, 0.355105, 0.3607,
25796  0.367306, 0.376721, 0.386036, 0.400602, 0.413349, 0.428929,
25797  0.446816, 0.467918, 0.493286, 0.520454, 0.552114, 0.588162,
25798  0.623543, 0.666604, 0.714797, 0.770037, 0.829589, 0.889576,
25799  0.963716, 1.0378, 1.1206, 1.19845, 1.28467, 1.37099,
25800  1.45322, 1.52623, 1.60271, 1.67542, 1.7318, 1.78527,
25801  1.82206, 1.85753, 1.87806, 1.88089, 1.90893, 1.8973,
25802  1.88801, 1.8486, 1.80508, 1.75643, 1.69552, 1.62433,
25803  1.54181, 1.463, 1.37816, 1.29366, 1.20643, 1.11834,
25804  1.0437, 0.966649, 0.897652, 0.831785, 0.773617, 0.719468,
25805  0.666044, 0.627639, 0.586057, 0.551961, 0.520717, 0.494125,
25806  0.470164, 0.449466, 0.429009, 0.412762, 0.399805, 0.387028,
25807  0.37628, 0.36754, 0.360508, 0.353139, 0.349888, 0.34758,
25808  0.343625, 0.343588, 0.34298, 0.344097, 0.346509, 0.350805,
25809  0.354019, 0.36152, 0.367272, 0.377024, 0.387619, 0.398368,
25810  0.412644, 0.429639, 0.448441, 0.471144, 0.494285, 0.521125,
25811  0.550829, 0.58608, 0.626151, 0.672892, 0.716174, 0.774418,
25812  0.836128, 0.903764, 0.968025, 1.04805, 1.12234, 1.20378,
25813  1.29416, 1.38078, 1.45922, 1.5507, 1.6211, 1.69578,
25814  1.75191, 1.80275, 1.8441, 1.87888, 1.89134, 1.90031,
25815  1.92169, 1.91437, 1.90765, 1.87241, 1.82637, 1.7742,
25816  1.70642, 1.64613, 1.56639, 1.47615, 1.38934, 1.30744,
25817  1.21226, 1.13129, 1.04791, 0.974618, 0.901541, 0.831793,
25818  0.777064, 0.719182, 0.673307, 0.627143, 0.591121, 0.552541,
25819  0.523813, 0.494376, 0.469546, 0.449813, 0.430489, 0.414661,
25820  0.399904, 0.388164, 0.376895, 0.368772, 0.36037, 0.354798,
25821  0.351365, 0.346341, 0.345283, 0.34239, 0.344, 0.344605,
25822  0.347105, 0.350208, 0.354529, 0.361281, 0.368216, 0.378797,
25823  0.388092, 0.398974, 0.414024, 0.431591, 0.449478, 0.468535,
25824  0.494167, 0.521407, 0.553071, 0.588246, 0.630308, 0.669067,
25825  0.720307, 0.775661, 0.834939, 0.901625, 0.969036, 1.04637,
25826  1.12819, 1.21542, 1.30606, 1.38864, 1.47755, 1.56099,
25827  1.63703, 1.70994, 1.77014, 1.82436, 1.86813, 1.89955,
25828  1.91547, 1.91944, 1.94477, 1.9411, 1.92186, 1.89311,
25829  1.85472, 1.78805, 1.72189, 1.6569, 1.57387, 1.48867,
25830  1.40228, 1.31298, 1.22287, 1.13586, 1.05161, 0.979773,
25831  0.90797, 0.835507, 0.775272, 0.724494, 0.673647, 0.628435,
25832  0.589733, 0.555488, 0.522334, 0.495833, 0.471548, 0.448883,
25833  0.432289, 0.413689, 0.402246, 0.389487, 0.378003, 0.370101,
25834  0.361703, 0.356692, 0.348752, 0.34745, 0.345808, 0.344086,
25835  0.345218, 0.344769, 0.346064, 0.351506, 0.355094, 0.360107,
25836  0.368886, 0.377581, 0.388671, 0.401296, 0.415862, 0.432693,
25837  0.449867, 0.471147, 0.49544, 0.523176, 0.552918, 0.588932,
25838  0.626132, 0.672953, 0.722332, 0.776702, 0.836067, 0.900775,
25839  0.979956, 1.0572, 1.13585, 1.225, 1.31145, 1.40354,
25840  1.48211, 1.5804, 1.65965, 1.72152, 1.78821, 1.84974,
25841  1.89249, 1.91996, 1.94074, 1.95026, 1.96967, 1.96628,
25842  1.94435, 1.91674, 1.87079, 1.81632, 1.74026, 1.66557,
25843  1.58551, 1.50157, 1.41506, 1.31933, 1.22886, 1.1409,
25844  1.06178, 0.980517, 0.913533, 0.841104, 0.777312, 0.728516,
25845  0.674814, 0.62749, 0.591781, 0.555938, 0.521586, 0.495517,
25846  0.472493, 0.448803, 0.432285, 0.418314, 0.400129, 0.389502,
25847  0.378681, 0.37075, 0.362316, 0.357147, 0.351499, 0.349743,
25848  0.344516, 0.344506, 0.345229, 0.346117, 0.348085, 0.350872,
25849  0.355762, 0.362651, 0.37092, 0.378766, 0.387607, 0.401056,
25850  0.414466, 0.431488, 0.449958, 0.471212, 0.494464, 0.524404,
25851  0.555633, 0.591693, 0.631974, 0.677227, 0.723159, 0.776759,
25852  0.840612, 0.910749, 0.981249, 1.05695, 1.1446, 1.22624,
25853  1.32164, 1.41129, 1.50266, 1.58948, 1.67799, 1.74762,
25854  1.81086, 1.87281, 1.90557, 1.9478, 1.96068, 1.96229,
25855  1.99335, 1.99174, 1.96081, 1.93322, 1.8821, 1.82906,
25856  1.76892, 1.69132, 1.60083, 1.51493, 1.42196, 1.32814,
25857  1.23617, 1.14905, 1.06474, 0.984944, 0.910155, 0.846866,
25858  0.78024, 0.724189, 0.676834, 0.630758, 0.590789, 0.556407,
25859  0.523588, 0.494243, 0.472814, 0.452322, 0.431606, 0.4164,
25860  0.400213, 0.387607, 0.379454, 0.369543, 0.362476, 0.356149,
25861  0.352101, 0.347911, 0.346468, 0.345871, 0.345313, 0.344462,
25862  0.349151, 0.351968, 0.357009, 0.362136, 0.370743, 0.379477,
25863  0.389098, 0.401956, 0.416308, 0.434637, 0.44973, 0.472021,
25864  0.494102, 0.52413, 0.555526, 0.594827, 0.628416, 0.674665,
25865  0.725321, 0.78551, 0.845241, 0.910593, 0.989416, 1.06927,
25866  1.15258, 1.23533, 1.3266, 1.42321, 1.51021, 1.60076,
25867  1.69138, 1.75996, 1.83342, 1.88412, 1.93763, 1.9628,
25868  1.9869, 1.98994, 2.02082, 2.01243, 1.9935, 1.95797,
25869  1.90794, 1.85018, 1.78436, 1.70429, 1.62288, 1.52705,
25870  1.43642, 1.34126, 1.24319, 1.16398, 1.06714, 0.988989,
25871  0.909773, 0.846702, 0.78193, 0.726057, 0.677559, 0.632252,
25872  0.59395, 0.558077, 0.526505, 0.497374, 0.472806, 0.449932,
25873  0.433025, 0.415721, 0.402577, 0.390048, 0.38024, 0.370803,
25874  0.36316, 0.357763, 0.351872, 0.34978, 0.346792, 0.345128,
25875  0.346568, 0.345714, 0.34959, 0.352215, 0.357172, 0.362767,
25876  0.369789, 0.378863, 0.389727, 0.401121, 0.417997, 0.433078,
25877  0.452109, 0.472032, 0.496935, 0.525068, 0.558211, 0.5931,
25878  0.632721, 0.676327, 0.731521, 0.783565, 0.850053, 0.91759,
25879  0.986168, 1.07049, 1.15975, 1.24712, 1.33367, 1.43468,
25880  1.53117, 1.61413, 1.70308, 1.78344, 1.84637, 1.90989,
25881  1.95156, 1.98935, 2.00209, 2.0197, 2.03912, 2.03929,
25882  2.01472, 1.97876, 1.92651, 1.86445, 1.79442, 1.71985,
25883  1.62826, 1.53733, 1.44337, 1.3478, 1.25574, 1.16138,
25884  1.07452, 0.991464, 0.920686, 0.853264, 0.789327, 0.731323,
25885  0.680419, 0.634971, 0.595007, 0.559038, 0.524461, 0.497423,
25886  0.472581, 0.452185, 0.433642, 0.41643, 0.403115, 0.391154,
25887  0.381693, 0.370506, 0.363775, 0.358142, 0.353219, 0.349207,
25888  0.347006, 0.345104, 0.346829, 0.347164, 0.349418, 0.352926,
25889  0.358453, 0.363536, 0.370099, 0.379668, 0.39028, 0.402749,
25890  0.417372, 0.432826, 0.452616, 0.474831, 0.499372, 0.525777,
25891  0.559103, 0.593767, 0.632889, 0.679256, 0.731979, 0.785731,
25892  0.852246, 0.918559, 0.998087, 1.07414, 1.15722, 1.25149,
25893  1.34836, 1.44088, 1.54063, 1.63046, 1.71302, 1.79711,
25894  1.86931, 1.92944, 1.97241, 2.01749, 2.02721, 2.03052,
25895  2.05228, 2.06115, 2.03235, 1.99359, 1.94179, 1.8915,
25896  1.81661, 1.73677, 1.64874, 1.55222, 1.45943, 1.36272,
25897  1.26477, 1.16819, 1.07704, 1.00534, 0.92172, 0.85164,
25898  0.790215, 0.731365, 0.680747, 0.635425, 0.594049, 0.558741,
25899  0.526978, 0.498613, 0.473954, 0.452361, 0.433638, 0.416762,
25900  0.403748, 0.390936, 0.382021, 0.371914, 0.363667, 0.35893,
25901  0.353293, 0.348989, 0.348786, 0.346479, 0.345494, 0.347599,
25902  0.351357, 0.353787, 0.357008, 0.364246, 0.372788, 0.380124,
25903  0.390181, 0.403565, 0.417837, 0.433147, 0.453775, 0.475357,
25904  0.497461, 0.527958, 0.55823, 0.594778, 0.632737, 0.682394,
25905  0.732692, 0.790128, 0.85387, 0.92278, 1.00039, 1.0838,
25906  1.1769, 1.26191, 1.36161, 1.45788, 1.54928, 1.64247,
25907  1.7431, 1.81224, 1.88921, 1.94569, 1.99241, 2.03424,
25908  2.06336, 2.06335, 2.08654, 2.07414, 2.05146, 2.02277,
25909  1.96482, 1.90259, 1.83276, 1.75033, 1.65554, 1.56654,
25910  1.46632, 1.37175, 1.26273, 1.17822, 1.08308, 1.00546,
25911  0.928629, 0.857447, 0.791119, 0.73284, 0.682642, 0.634163,
25912  0.597233, 0.560441, 0.529529, 0.500477, 0.47554, 0.453127,
25913  0.435602, 0.418333, 0.402566, 0.392336, 0.380281, 0.373381,
25914  0.36405, 0.358617, 0.354645, 0.350529, 0.348122, 0.347747,
25915  0.346112, 0.349451, 0.351219, 0.354565, 0.360037, 0.365945,
25916  0.372392, 0.381423, 0.392339, 0.404846, 0.418775, 0.431393,
25917  0.455045, 0.474366, 0.499166, 0.527996, 0.560617, 0.595033,
25918  0.637427, 0.683568, 0.732821, 0.788789, 0.852757, 0.930703,
25919  1.00396, 1.08797, 1.17611, 1.27229, 1.36613, 1.46539,
25920  1.56157, 1.66037, 1.75297, 1.83467, 1.90648, 1.97386,
25921  2.02388, 2.05143, 2.07941, 2.08699, 2.10255, 2.10293,
25922  2.08031, 2.05107, 1.99258, 1.93294, 1.85466, 1.76543,
25923  1.6774, 1.58141, 1.48065, 1.37318, 1.27963, 1.18183,
25924  1.09487, 1.00534, 0.928534, 0.858381, 0.792476, 0.733595,
25925  0.682161, 0.636687, 0.595594, 0.560845, 0.528728, 0.500447,
25926  0.474377, 0.456452, 0.434191, 0.419877, 0.404697, 0.390829,
25927  0.38225, 0.374247, 0.365812, 0.358935, 0.353716, 0.351462,
25928  0.349872, 0.348638, 0.347595, 0.348221, 0.351554, 0.355438,
25929  0.360193, 0.365395, 0.373326, 0.382033, 0.390993, 0.40392,
25930  0.419084, 0.43633, 0.452605, 0.475124, 0.500927, 0.529548,
25931  0.56043, 0.594396, 0.635288, 0.684628, 0.734755, 0.796827,
25932  0.862175, 0.929411, 1.0055, 1.09302, 1.17865, 1.27621,
25933  1.37983, 1.4822, 1.58413, 1.67483, 1.77019, 1.855,
25934  1.92985, 1.99146, 2.04602, 2.07628, 2.10319, 2.10983,
25935  2.13204, 2.12594, 2.10599, 2.05869, 2.00875, 1.94906,
25936  1.86886, 1.78836, 1.69081, 1.59186, 1.48433, 1.38743,
25937  1.28813, 1.19158, 1.09795, 1.01721, 0.936133, 0.86232,
25938  0.79346, 0.738613, 0.684422, 0.636508, 0.598698, 0.56268,
25939  0.529403, 0.500397, 0.47708, 0.453779, 0.437024, 0.420136,
25940  0.405594, 0.392168, 0.381269, 0.373676, 0.366492, 0.359161,
25941  0.355619, 0.350846, 0.350358, 0.348358, 0.348577, 0.349205,
25942  0.351078, 0.355074, 0.359845, 0.365928, 0.372674, 0.383196,
25943  0.392591, 0.405571, 0.419545, 0.435526, 0.455419, 0.475696,
25944  0.50259, 0.52866, 0.561574, 0.596577, 0.637808, 0.686012,
25945  0.737637, 0.795588, 0.858904, 0.935897, 1.01046, 1.09382,
25946  1.18909, 1.28598, 1.38722, 1.48627, 1.59643, 1.68956,
25947  1.78599, 1.8718, 1.95086, 2.01344, 2.06597, 2.09893,
25948  2.12795, 2.13187, 2.17046, 2.14464, 2.12594, 2.08058,
25949  2.03547, 1.96984, 1.88542, 1.79499, 1.70611, 1.60283,
25950  1.49819, 1.39217, 1.28865, 1.19015, 1.10081, 1.01623,
25951  0.936712, 0.860928, 0.795451, 0.740192, 0.688567, 0.638227,
25952  0.597462, 0.562462, 0.529407, 0.50039, 0.477271, 0.455613,
25953  0.436407, 0.420083, 0.40485, 0.393007, 0.383508, 0.37417,
25954  0.365534, 0.35982, 0.355861, 0.35297, 0.351226, 0.348786,
25955  0.347745, 0.348264, 0.351874, 0.356043, 0.361734, 0.367113,
25956  0.374588, 0.382448, 0.3951, 0.406638, 0.418947, 0.435995,
25957  0.456235, 0.474823, 0.501351, 0.530696, 0.563259, 0.600608,
25958  0.641209, 0.686356, 0.737286, 0.801837, 0.86073, 0.933624,
25959  1.01495, 1.10169, 1.19416, 1.2882, 1.3985, 1.50855,
25960  1.60345, 1.70423, 1.79829, 1.88918, 1.96243, 2.03821,
25961  2.07699, 2.12141, 2.14706, 2.15468};
25962 } // namespace smash
25963 
25964 #endif // SRC_INCLUDE_CROSSSECTIONSBREMS_H_
smash::pipi_pipi_same_interpolation
static std::unique_ptr< InterpolateDataLinear< double > > pipi_pipi_same_interpolation
Definition: crosssectionsbrems.h:4826
smash
Definition: action.h:24
smash::BREMS_PIPI_PIPI_SAME_DIFF_SIG_K
const std::initializer_list< double > BREMS_PIPI_PIPI_SAME_DIFF_SIG_K
dSigma/dk for π+ + π+ -> π+ + π+ + γ or π- + π- -> π- + π- + γ
Definition: crosssectionsbrems.h:4866
smash::BREMS_PIPI_PI0PI0_SIG
const std::initializer_list< double > BREMS_PIPI_PI0PI0_SIG
Total π+- + π-+ -> π0 + π0 + γ cross section.
Definition: crosssectionsbrems.h:16040
smash::BREMS_PI0PI0_PIPI_DIFF_SIG_THETA
const std::initializer_list< double > BREMS_PI0PI0_PIPI_DIFF_SIG_THETA
dSigma/dtheta for π0 + π0 -> π+- + π-+ + γ
Definition: crosssectionsbrems.h:23694
smash::BREMS_K
const std::initializer_list< double > BREMS_K
photon momentum
Definition: crosssectionsbrems.h:41
smash::BREMS_PIPI_PI0PI0_DIFF_SIG_K
const std::initializer_list< double > BREMS_PIPI_PI0PI0_DIFF_SIG_K
dSigma/dk for π+- + π-+ -> π0 + π0 + γ
Definition: crosssectionsbrems.h:16068
smash::BREMS_PIPI_PIPI_OPP_SIG
const std::initializer_list< double > BREMS_PIPI_PIPI_OPP_SIG
Total π+- + π-+ -> π+- + π-+ + γ cross section.
Definition: crosssectionsbrems.h:88
smash::pipi_pipi_opp_dsigma_dtheta_interpolation
static std::unique_ptr< InterpolateData2DSpline > pipi_pipi_opp_dsigma_dtheta_interpolation
Definition: crosssectionsbrems.h:84
interpolation.h
smash::pipi0_pipi0_interpolation
static std::unique_ptr< InterpolateDataLinear< double > > pipi0_pipi0_interpolation
Definition: crosssectionsbrems.h:10429
smash::BREMS_SQRTS
const std::initializer_list< double > BREMS_SQRTS
Center-of-mass energy.
Definition: crosssectionsbrems.h:23
smash::BREMS_PI0PI0_PIPI_DIFF_SIG_K
const std::initializer_list< double > BREMS_PI0PI0_PIPI_DIFF_SIG_K
dSigma/dk for π0 + π0 -> π+- + π-+ + γ
Definition: crosssectionsbrems.h:21262
smash::BREMS_PIPI_PI0PI0_DIFF_SIG_THETA
const std::initializer_list< double > BREMS_PIPI_PI0PI0_DIFF_SIG_THETA
dSigma/dtheta for π+- + π-+ -> π0 + π0 + γ
Definition: crosssectionsbrems.h:18500
smash::pi0pi0_pipi_interpolation
static std::unique_ptr< InterpolateDataLinear< double > > pi0pi0_pipi_interpolation
Definition: crosssectionsbrems.h:21226
smash::pipi_pipi_opp_interpolation
static std::unique_ptr< InterpolateDataLinear< double > > pipi_pipi_opp_interpolation
Definition: crosssectionsbrems.h:80
smash::BREMS_THETA
const std::initializer_list< double > BREMS_THETA
theta angle with respect to collision axis of incoming pions
Definition: crosssectionsbrems.h:61
smash::pipi_pi0pi0_interpolation
static std::unique_ptr< InterpolateDataLinear< double > > pipi_pi0pi0_interpolation
Definition: crosssectionsbrems.h:16032
smash::BREMS_PIPI0_PIPI0_DIFF_SIG_THETA
const std::initializer_list< double > BREMS_PIPI0_PIPI0_DIFF_SIG_THETA
dSigma/dtheta for π0 + π -> π0 + π + γ
Definition: crosssectionsbrems.h:13306
smash::BREMS_PIPI_PIPI_OPP_DIFF_SIG_THETA
const std::initializer_list< double > BREMS_PIPI_PIPI_OPP_DIFF_SIG_THETA
dSigma/dtheta for π+- + π-+ -> π+- + π-+ + γ
Definition: crosssectionsbrems.h:2552
smash::pipi0_pipi0_dsigma_dtheta_interpolation
static std::unique_ptr< InterpolateData2DSpline > pipi0_pipi0_dsigma_dtheta_interpolation
Definition: crosssectionsbrems.h:10433
smash::BREMS_PIPI0_PIPI0_DIFF_SIG_K
const std::initializer_list< double > BREMS_PIPI0_PIPI0_DIFF_SIG_K
dSigma/dk for π0 + π -> π0 + π + γ
Definition: crosssectionsbrems.h:10469
smash::pipi_pipi_same_dsigma_dtheta_interpolation
static std::unique_ptr< InterpolateData2DSpline > pipi_pipi_same_dsigma_dtheta_interpolation
Definition: crosssectionsbrems.h:4830
smash::BREMS_PIPI_PIPI_SAME_DIFF_SIG_THETA
const std::initializer_list< double > BREMS_PIPI_PIPI_SAME_DIFF_SIG_THETA
dSigma/dtheta for π+ + π+ -> π+ + π+ + γ or π- + π- -> π- + π- + γ
Definition: crosssectionsbrems.h:7703
smash::pipi_pipi_same_dsigma_dk_interpolation
static std::unique_ptr< InterpolateData2DSpline > pipi_pipi_same_dsigma_dk_interpolation
Definition: crosssectionsbrems.h:4828
smash::BREMS_PI0PI0_PIPI_SIG
const std::initializer_list< double > BREMS_PI0PI0_PIPI_SIG
Total π0 + π0 -> π+- + π-+ + γ cross section.
Definition: crosssectionsbrems.h:21234
interpolation2D.h
smash::pi0pi0_pipi_dsigma_dtheta_interpolation
static std::unique_ptr< InterpolateData2DSpline > pi0pi0_pipi_dsigma_dtheta_interpolation
Definition: crosssectionsbrems.h:21230
smash::pipi0_pipi0_dsigma_dk_interpolation
static std::unique_ptr< InterpolateData2DSpline > pipi0_pipi0_dsigma_dk_interpolation
Definition: crosssectionsbrems.h:10431
smash::BREMS_PIPI0_PIPI0_SIG
const std::initializer_list< double > BREMS_PIPI0_PIPI0_SIG
Total π0 + π -> π0 + π + γ cross section.
Definition: crosssectionsbrems.h:10437
smash::pi0pi0_pipi_dsigma_dk_interpolation
static std::unique_ptr< InterpolateData2DSpline > pi0pi0_pipi_dsigma_dk_interpolation
Definition: crosssectionsbrems.h:21228
smash::pipi_pi0pi0_dsigma_dtheta_interpolation
static std::unique_ptr< InterpolateData2DSpline > pipi_pi0pi0_dsigma_dtheta_interpolation
Definition: crosssectionsbrems.h:16036
smash::BREMS_PIPI_PIPI_OPP_DIFF_SIG_K
const std::initializer_list< double > BREMS_PIPI_PIPI_OPP_DIFF_SIG_K
dSigma/dk for π+- + π-+ -> π+- + π-+ + γ
Definition: crosssectionsbrems.h:120
smash::BREMS_PIPI_PIPI_SAME_SIG
const std::initializer_list< double > BREMS_PIPI_PIPI_SAME_SIG
Total π+ + π+ -> π+ + π+ + γ or π- + π- -> π- + π- + γ cross section.
Definition: crosssectionsbrems.h:4834
smash::pipi_pi0pi0_dsigma_dk_interpolation
static std::unique_ptr< InterpolateData2DSpline > pipi_pi0pi0_dsigma_dk_interpolation
Definition: crosssectionsbrems.h:16034
smash::pipi_pipi_opp_dsigma_dk_interpolation
static std::unique_ptr< InterpolateData2DSpline > pipi_pipi_opp_dsigma_dk_interpolation
Definition: crosssectionsbrems.h:82