1 /*
2     Copyright (C) 20002 Paul Davis
3 
4     This program is free software; you can redistribute it and/or modify
5     it under the terms of the GNU General Public License as published by
6     the Free Software Foundation; either version 2 of the License, or
7     (at your option) any later version.
8 
9     This program is distributed in the hope that it will be useful,
10     but WITHOUT ANY WARRANTY; without even the implied warranty of
11     MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
12     GNU General Public License for more details.
13 
14     You should have received a copy of the GNU General Public License
15     along with this program; if not, write to the Free Software
16     Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
17 */
18 
19 static const double tack[] = {
20   -0.0019836426, 0.0097045898, 0.019165039, 0.028594971, 0.036102295,
21    0.040679932, 0.040649414, 0.036560059, 0.029693604, 0.016967773,
22    0.0057067871, -0.008026123, -0.021453857, -0.026153564,
23    -0.031921387, -0.036834717, -0.04397583, -0.046844482,
24    -0.045349121, -0.041748047, -0.032623291, -0.026611328,
25    -0.026702881, -0.025482178, -0.013092041, 0.0055847168,
26    0.023040771, 0.027435303, 0.043426514, 0.07925415, 0.1086731,
27    0.09463501, 0.039154053, -0.027832031, -0.081542969, -0.099090576,
28    -0.089385986, -0.051055908, -0.0023803711, 0.031951904,
29    0.044128418, 0.029998779, 0.0086669922, 0.0022888184, 0.0082092285,
30    0.0085144043, -0.0057983398, -0.027496338, -0.036834717,
31    -0.021759033, -0.020721436, -0.024078369, -0.025360107,
32    -0.090698242, -0.16491699, -0.16052246, -0.090454102, 0.0031433105,
33    0.013031006, 0.034790039, 0.30599976, 0.58151245, 0.5078125,
34    0.32858276, 0.21975708, -0.050018311, -0.34790039, -0.46588135,
35    -0.26513672, 0.12893677, 0.19259644, 0.11685181, 0.095825195,
36    -0.039154053, -0.041473389, 0.0069274902, -0.14685059, -0.32232666,
37    -0.21795654, 0.051086426, 0.18112183, 0.30905151, 0.47305298,
38    0.60980225, 0.59518433, 0.46920776, 0.51705933, 0.47116089,
39    0.31832886, 0.20901489, 0.059539795, -0.10055542, -0.23834229,
40    -0.26708984, -0.27468872, -0.29516602, -0.22879028, -0.12854004,
41    -0.064300537, -0.0068664551, 0.060211182, 0.10339355, 0.12594604,
42    0.12954712, 0.063568115, -0.041046143, -0.1184082, -0.19332886,
43    -0.27337646, -0.34906006, -0.40966797, -0.46533203, -0.45361328,
44    -0.39672852, -0.32958984, -0.15246582, 0.086853027, 0.23678589,
45    0.24838257, 0.13034058, -0.15222168, -0.5199585, -0.80224609,
46    -0.9397583, -0.89654541, -0.71923828, -0.47998047, -0.14666748,
47    0.26187134, 0.54995728, 0.69186401, 0.84616089, 0.79928589,
48    0.53170776, 0.39968872, 0.32455444, 0.2137146, 0.19454956,
49    0.24069214, 0.22750854, 0.14596558, 0.047058105, -0.04876709,
50    -0.13095093, -0.19775391, -0.16293335, -0.059265137, 0.027526855,
51    0.13961792, 0.26803589, 0.35470581, 0.37600708, 0.34085083,
52    0.2572937, 0.13265991, -0.008026123, -0.12841797, -0.22216797,
53    -0.30899048, -0.37841797, -0.4251709, -0.45947266, -0.48376465,
54    -0.50341797, -0.52294922, -0.54516602, -0.58447266, -0.62121582,
55    -0.63989258, -0.64990234, -0.63037109, -0.568573, -0.46630859,
56    -0.36468506, -0.27618408, -0.18487549, -0.11065674, -0.070404053,
57    -0.066101074, -0.049835205, -0.026611328, -0.013061523,
58    0.011444092, 0.034576416, 0.046112061, 0.052215576, 0.045501709,
59    0.030059814, 0.011657715, 0.026489258, 0.056121826, 0.10122681,
60    0.20016479, 0.33053589, 0.45944214, 0.54830933, 0.57751465, 0.5625,
61    0.55612183, 0.55319214, 0.5697937, 0.64987183, 0.73553467,
62    0.78170776, 0.84420776, 0.89987183, 0.90475464, 0.85861206,
63    0.75338745, 0.57077026, 0.3354187, 0.067779541, -0.1741333,
64    -0.36557007, -0.47802734, -0.51281738, -0.47766113, -0.36865234,
65    -0.22381592, -0.065765381, 0.066680908, 0.12365723, 0.098114014,
66    0.020965576, -0.10775757, -0.27294922, -0.41845703, -0.50146484,
67    -0.52563477, -0.48291016, -0.38186646, -0.27264404, -0.16925049,
68    -0.07043457, 0.003326416, 0.025085449, -0.028320312, -0.11358643,
69    -0.18164062, -0.21984863, -0.21286011, -0.16635132, -0.12728882,
70    -0.088104248, 0.016693115, 0.18893433, 0.40280151, 0.59127808,
71    0.67233276, 0.64682007, 0.54733276, 0.4213562, 0.30703735,
72    0.19845581, 0.12661743, 0.095611572, 0.10531616, 0.17950439,
73    0.29904175, 0.41726685, 0.47506714, 0.48678589, 0.48873901,
74    0.46694946, 0.42233276, 0.38088989, 0.34689331, 0.30709839,
75    0.26022339, 0.18258667, 0.064544678, -0.09085083, -0.25634766,
76    -0.41540527, -0.54693604, -0.62731934, -0.6809082, -0.70849609,
77    -0.71044922, -0.68469238, -0.64886475, -0.62115479, -0.6104126,
78    -0.62451172, -0.65185547, -0.67504883, -0.68969727, -0.70257568,
79    -0.71337891, -0.68994141, -0.61865234, -0.49755859, -0.32177734,
80    -0.10437012, 0.11209106, 0.30691528, 0.46789551, 0.51602173,
81    0.44674683, 0.32055664, 0.1769104, 0.06072998, 0.0075378418,
82    -0.013641357, -0.0038146973, 0.082244873, 0.22116089, 0.35787964,
83    0.47689819, 0.60266113, 0.71801758, 0.81747437, 0.91799927,
84    0.97079468, 0.97677612, 0.93850708, 0.83322144, 0.65866089,
85    0.42324829, 0.14834595, -0.10574341, -0.31484985, -0.46813965,
86    -0.54833984, -0.55517578, -0.51220703, -0.43115234, -0.34613037,
87    -0.29052734, -0.2699585, -0.29443359, -0.33349609, -0.38720703,
88    -0.45751953, -0.51318359, -0.54800415, -0.55706787, -0.5402832,
89    -0.48666382, -0.41162109, -0.32958984, -0.24560547, -0.19873047,
90    -0.18457031, -0.19171143, -0.21240234, -0.23876953, -0.25823975,
91    -0.26184082, -0.24902344, -0.21612549, -0.16552734, -0.11083984,
92    -0.058349609, -0.0034179688, 0.053283691, 0.12722778, 0.23052979,
93    0.35769653, 0.51147461, 0.68243408, 0.85015869, 0.96902466,
94    0.99908447, 0.99899292, 0.99453735, 0.87936401, 0.72964478,
95    0.59124756, 0.45162964, 0.29949951, 0.18435669, 0.087219238,
96    0.0085754395, -0.031677246, -0.057434082, -0.06338501,
97    -0.050262451, -0.021179199, 0.010986328, 0.035095215, 0.041900635,
98    0.026275635, -0.008972168, -0.067260742, -0.14938354, -0.24298096,
99    -0.33901978, -0.44342041, -0.53179932, -0.59924316, -0.64294434,
100    -0.66220093, -0.65362549, -0.61437988, -0.56277466, -0.48764038,
101    -0.41287231, -0.3420105, -0.25909424, -0.17782593, -0.10604858,
102    -0.033355713, 0.037872314, 0.097198486, 0.15203857, 0.19644165,
103    0.23324585, 0.2668457, 0.29403687, 0.31442261, 0.33148193,
104    0.33639526, 0.32794189, 0.31109619, 0.30651855, 0.30456543,
105    0.31005859, 0.32266235, 0.34017944, 0.36062622, 0.37988281,
106    0.39459229, 0.40344238, 0.41464233, 0.41500854, 0.41091919,
107    0.40512085, 0.39819336, 0.3843689, 0.36633301, 0.33621216,
108    0.28076172, 0.19436646, 0.083892822, -0.056732178, -0.21832275,
109    -0.38809204, -0.55502319, -0.70330811, -0.82672119, -0.909729,
110    -0.93505859, -0.9085083, -0.84347534, -0.74786377, -0.63342285,
111    -0.52468872, -0.42883301, -0.35321045, -0.29504395, -0.26339722,
112    -0.23782349, -0.21252441, -0.19006348, -0.16159058, -0.12472534,
113    -0.075958252, -0.012115479, 0.056091309, 0.11953735, 0.17373657,
114    0.22116089, 0.25097656, 0.25982666, 0.2539978, 0.24578857,
115    0.24325562, 0.25292969, 0.28744507, 0.34677124, 0.42510986,
116    0.51596069, 0.60205078, 0.67550659, 0.71774292, 0.728302,
117    0.70874023, 0.6612854, 0.59188843, 0.49536133, 0.37322998,
118    0.23904419, 0.10256958, -0.030303955, -0.15093994, -0.24526978,
119    -0.31253052, -0.3414917, -0.33178711, -0.29302979, -0.23806763,
120    -0.17816162, -0.13470459, -0.12387085, -0.15142822, -0.20706177,
121    -0.28427124, -0.37112427, -0.44927979, -0.50619507, -0.53219604,
122    -0.53118896, -0.49990845, -0.45379639, -0.39599609, -0.31643677,
123    -0.22329712, -0.15414429, -0.1050415, -0.075592041, -0.0753479,
124    -0.088775635, -0.099090576, -0.086639404, -0.035797119,
125    0.052154541, 0.1661377, 0.28082275, 0.39169312, 0.50491333,
126    0.59762573, 0.67288208, 0.71621704, 0.73251343, 0.71405029,
127    0.66171265, 0.60040283, 0.53762817, 0.46520996, 0.3727417,
128    0.26971436, 0.17245483, 0.092346191, 0.034851074, 0.0072937012,
129    0.007232666, 0.017547607, 0.01852417, 0.020172119, 0.023345947,
130    0.014434814, -0.013946533, -0.054168701, -0.094726562, -0.14425659,
131    -0.20623779, -0.27316284, -0.34069824, -0.40481567, -0.4647522,
132    -0.51278687, -0.55215454, -0.57962036, -0.58953857, -0.59140015,
133    -0.57885742, -0.55456543, -0.51055908, -0.45095825, -0.37948608,
134    -0.29974365, -0.22027588, -0.13543701, -0.047271729, 0.033721924,
135    0.1005249, 0.14877319, 0.18429565, 0.20465088, 0.21621704,
136    0.2272644, 0.23416138, 0.24511719, 0.26138306, 0.2805481,
137    0.3006897, 0.32943726, 0.36660767, 0.40802002, 0.44424438,
138    0.47698975, 0.50256348, 0.52005005, 0.5267334, 0.52258301,
139    0.50723267, 0.47485352, 0.42205811, 0.34805298, 0.26202393,
140    0.16522217, 0.067749023, -0.024169922, -0.1060791, -0.18280029,
141    -0.25424194, -0.31921387, -0.37774658, -0.43612671, -0.50094604,
142    -0.56121826, -0.61495972, -0.66091919, -0.69436646, -0.70004272,
143    -0.67868042, -0.63104248, -0.56182861, -0.48074341, -0.39840698,
144    -0.31900024, -0.24609375, -0.18695068, -0.1461792, -0.11993408,
145    -0.11032104, -0.10159302, -0.091918945, -0.076904297, -0.069580078,
146    -0.058898926, -0.038146973, -0.012542725, 0.014831543, 0.043304443,
147    0.082824707, 0.13180542, 0.1895752, 0.25256348, 0.32229614,
148    0.38531494, 0.43493652, 0.4697876, 0.48736572, 0.48733521,
149    0.46533203, 0.42901611, 0.38223267, 0.33636475, 0.2819519,
150    0.22467041, 0.16455078, 0.10604858, 0.047485352, -0.010040283,
151    -0.057098389, -0.093933105, -0.12252808, -0.14291382, -0.15545654,
152    -0.16064453, -0.16348267, -0.16918945, -0.17095947, -0.17773438,
153    -0.19436646, -0.21868896, -0.25158691, -0.2890625, -0.33297729,
154    -0.37677002, -0.41171265, -0.43563843, -0.44619751, -0.44320679,
155    -0.42520142, -0.39151001, -0.34609985, -0.29324341, -0.23846436,
156    -0.18026733, -0.12319946, -0.068023682, -0.017944336, 0.033691406,
157    0.08416748, 0.13388062, 0.18310547, 0.23513794, 0.28579712,
158    0.3314209, 0.37133789, 0.40841675, 0.44143677, 0.46252441,
159    0.47073364, 0.46435547, 0.44342041, 0.40725708, 0.35971069,
160    0.30911255, 0.26272583, 0.22372437, 0.19876099, 0.18948364,
161    0.18948364, 0.19799805, 0.21658325, 0.23733521, 0.25439453,
162    0.26513672, 0.26702881, 0.25582886, 0.2338562, 0.19677734,
163    0.15100098, 0.097106934, 0.036804199, -0.02456665, -0.087005615,
164    -0.14819336, -0.20632935, -0.26040649, -0.30117798, -0.33422852,
165    -0.35610962, -0.36178589, -0.3522644, -0.3237915, -0.28857422,
166    -0.24789429, -0.20108032, -0.14822388, -0.097442627, -0.055877686,
167    -0.019500732, 0.0064086914, 0.024627686, 0.033721924, 0.042114258,
168    0.052032471, 0.069763184, 0.094207764, 0.12030029, 0.14993286,
169    0.18215942, 0.22003174, 0.26171875, 0.30029297, 0.33355713,
170    0.35992432, 0.3833313, 0.40148926, 0.41094971, 0.40899658,
171    0.39849854, 0.37387085, 0.34091187, 0.30215454, 0.26016235,
172    0.2170105, 0.17681885, 0.13604736, 0.093658447, 0.049316406,
173    0.0074462891, -0.037322998, -0.086120605, -0.13262939, -0.18286133,
174    -0.22872925, -0.26879883, -0.3026123, -0.33206177, -0.35943604,
175    -0.37924194, -0.39431763, -0.40466309, -0.40936279, -0.40270996,
176    -0.38815308, -0.36676025, -0.3421936, -0.31149292, -0.27597046,
177    -0.24679565, -0.22177124, -0.20294189, -0.19259644, -0.18527222,
178    -0.18157959, -0.17645264, -0.16998291, -0.1524353, -0.12554932,
179    -0.086669922, -0.03894043, 0.016204834, 0.075744629, 0.13665771,
180    0.18896484, 0.23040771, 0.26107788, 0.28408813, 0.29443359,
181    0.29440308, 0.28460693, 0.27456665, 0.26107788, 0.24020386,
182    0.21322632, 0.18551636, 0.15698242, 0.12554932, 0.095855713,
183    0.069152832, 0.045501709, 0.020141602, -0.0030517578, -0.026702881,
184    -0.0496521, -0.071960449, -0.098327637, -0.12268066, -0.14907837,
185    -0.17523193, -0.20068359, -0.22494507, -0.2482605, -0.27352905,
186    -0.29666138, -0.31420898, -0.32751465, -0.33670044, -0.33874512,
187    -0.32943726, -0.31417847, -0.29504395, -0.26898193, -0.23904419,
188    -0.20245361, -0.16390991, -0.1210022, -0.078308105, -0.039337158,
189    -0.0037231445, 0.029174805, 0.05847168, 0.084106445, 0.1078186,
190    0.13174438, 0.15719604, 0.17941284, 0.20126343, 0.22348022,
191    0.2432251, 0.2578125, 0.2640686, 0.26593018, 0.25933838,
192    0.24685669, 0.2288208, 0.21047974, 0.19494629, 0.18075562,
193    0.17199707, 0.17199707, 0.17175293, 0.1729126, 0.17126465,
194    0.16873169, 0.16256714, 0.15036011, 0.1355896, 0.11254883,
195    0.083465576, 0.050079346, 0.01159668, -0.030029297, -0.074707031,
196    -0.11532593, -0.15432739, -0.18942261, -0.21673584, -0.23681641,
197    -0.24554443, -0.24703979, -0.24472046, -0.23815918, -0.22784424,
198    -0.21243286, -0.19384766, -0.17596436, -0.15844727, -0.14089966,
199    -0.12030029, -0.099395752, -0.076538086, -0.058746338,
200    -0.034484863, -0.0097351074, 0.015625, 0.037445068, 0.063079834,
201    0.087738037, 0.11401367, 0.13973999, 0.16848755, 0.19680786,
202    0.2244873, 0.25567627, 0.28305054, 0.30465698, 0.31854248,
203    0.32287598, 0.31808472, 0.30102539, 0.27633667, 0.24591064,
204    0.20962524, 0.17144775, 0.13021851, 0.09487915, 0.057861328,
205    0.023651123, -0.014129639, -0.051239014, -0.086639404, -0.12316895,
206    -0.15304565, -0.18545532, -0.21154785, -0.23434448, -0.25100708,
207    -0.26113892, -0.26712036, -0.26678467, -0.26687622, -0.262146,
208    -0.25656128, -0.24734497, -0.23501587, -0.22433472, -0.20773315,
209    -0.19207764, -0.17459106, -0.15997314, -0.14196777, -0.12670898,
210    -0.1166687, -0.10726929, -0.099243164, -0.090179443, -0.078521729,
211    -0.062225342, -0.038360596, -0.0068054199, 0.031402588,
212    0.072143555, 0.11181641, 0.15362549, 0.19085693, 0.22195435,
213    0.24661255, 0.26379395, 0.27166748, 0.27072144, 0.26507568,
214    0.25247192, 0.2348938, 0.21447754, 0.18756104, 0.15771484,
215    0.13241577, 0.10873413, 0.087036133, 0.065460205, 0.046875,
216    0.029754639, 0.013153076, -0.0065917969, -0.024993896,
217    -0.046051025, -0.067810059, -0.092285156, -0.11779785, -0.14529419,
218    -0.17376709, -0.19503784, -0.21487427, -0.23205566, -0.24533081,
219    -0.25128174, -0.2522583, -0.24685669, -0.23486328, -0.21954346,
220    -0.19946289, -0.1786499, -0.15280151, -0.12744141, -0.098022461,
221    -0.069091797, -0.038146973, -0.0079040527, 0.024719238,
222    0.054351807, 0.082275391, 0.11019897, 0.13510132, 0.15545654,
223    0.17276001, 0.1854248, 0.19042969, 0.19281006, 0.1930542,
224    0.19232178, 0.18795776, 0.17938232, 0.17156982, 0.16223145,
225    0.15603638, 0.15182495, 0.15118408, 0.14651489, 0.14263916,
226    0.13916016, 0.1343689, 0.12649536, 0.11480713, 0.10400391,
227    0.091766357, 0.079589844, 0.063781738, 0.04776001, 0.029510498,
228    0.013061523, -0.0087890625, -0.034454346, -0.06362915,
229    -0.097381592, -0.12896729, -0.15893555, -0.18429565, -0.20910645,
230    -0.22930908, -0.2411499, -0.25009155, -0.2505188, -0.24719238,
231    -0.23956299, -0.22445679, -0.20892334, -0.18774414, -0.16699219,
232    -0.14205933, -0.12145996, -0.10317993, -0.085449219, -0.066101074,
233    -0.050048828, -0.03326416, -0.014404297, 0.0099182129, 0.041809082,
234    0.077087402, 0.11599731, 0.14718628, 0.18060303, 0.20654297,
235    0.23117065, 0.25247192, 0.27026367, 0.28042603, 0.27871704,
236    0.27175903, 0.25527954, 0.2315979, 0.20584106, 0.17654419,
237    0.1446228, 0.1086731, 0.073699951, 0.040588379, 0.011627197,
238    -0.016143799, -0.044189453, -0.071838379, -0.098449707,
239    -0.12316895, -0.14602661, -0.16595459, -0.17871094, -0.18606567,
240    -0.19488525, -0.20278931, -0.209198, -0.21121216, -0.21276855,
241    -0.21395874, -0.21328735, -0.21072388, -0.20718384, -0.20404053,
242    -0.19812012, -0.19073486, -0.17901611, -0.16781616, -0.15267944,
243    -0.13824463, -0.12042236, -0.098999023, -0.077453613, -0.053497314,
244    -0.029022217, -0.001373291, 0.022583008, 0.050720215, 0.077026367,
245    0.10748291, 0.13626099, 0.16424561, 0.18908691, 0.21191406,
246    0.2300415, 0.2428894, 0.25292969, 0.25643921, 0.25924683,
247    0.25518799, 0.24127197, 0.22161865, 0.19989014, 0.17800903,
248    0.14935303, 0.12268066, 0.094787598, 0.068878174, 0.041046143,
249    0.018585205, 0.0020141602, -0.0094604492, -0.01651001, -0.02243042,
250    -0.031860352, -0.049102783, -0.072113037, -0.098083496,
251    -0.12472534, -0.14935303, -0.17062378, -0.18566895, -0.19500732,
252    -0.19784546, -0.19299316, -0.18365479, -0.17153931, -0.1555481,
253    -0.13491821, -0.11233521, -0.090209961, -0.063781738, -0.038879395,
254    -0.017089844, 0.0027770996, 0.021697998, 0.041046143, 0.059844971,
255    0.078674316, 0.093536377, 0.10656738, 0.11816406, 0.12698364,
256    0.13323975, 0.13742065, 0.14559937, 0.1522522, 0.15563965,
257    0.15548706, 0.1583252, 0.15756226, 0.15576172, 0.15216064,
258    0.1479187, 0.14260864, 0.13577271, 0.1272583, 0.11904907,
259    0.10968018, 0.10412598, 0.096618652, 0.087615967, 0.07522583,
260    0.059265137, 0.039978027, 0.017852783, -0.0061950684, -0.029510498,
261    -0.05065918, -0.075500488, -0.099395752, -0.12225342, -0.1418457,
262    -0.16101074, -0.17797852, -0.1932373, -0.20556641, -0.20901489,
263    -0.21026611, -0.20684814, -0.20016479, -0.18768311, -0.17312622,
264    -0.15994263, -0.14834595, -0.13482666, -0.11865234, -0.10229492,
265    -0.083404541, -0.063079834, -0.039276123, -0.014129639,
266    0.011199951, 0.035583496, 0.059417725, 0.079925537, 0.098571777,
267    0.11416626, 0.1270752, 0.14013672, 0.15286255, 0.16619873,
268    0.17810059, 0.18783569, 0.19454956, 0.19598389, 0.19143677,
269    0.18264771, 0.16867065, 0.15258789, 0.13143921, 0.10482788,
270    0.075073242, 0.045928955, 0.018371582, -0.0075683594, -0.032928467,
271    -0.054992676, -0.072662354, -0.089813232, -0.10479736, -0.12127686,
272    -0.13748169, -0.15161133, -0.16473389, -0.17370605, -0.18240356,
273    -0.18569946, -0.18682861, -0.18756104, -0.18310547, -0.18099976,
274    -0.17584229, -0.17102051, -0.16162109, -0.15145874, -0.1421814,
275    -0.12973022, -0.11398315, -0.096557617, -0.078460693, -0.061035156,
276    -0.042541504, -0.023590088, -0.0029296875, 0.020996094,
277    0.044403076, 0.068237305, 0.092926025, 0.11682129, 0.13772583,
278    0.15460205, 0.17050171, 0.18438721, 0.19360352, 0.19952393,
279    0.20303345, 0.2048645, 0.20132446, 0.1930542, 0.18280029,
280    0.16989136, 0.1546936, 0.13711548, 0.12115479, 0.10336304,
281    0.087890625, 0.068023682, 0.049804688, 0.028320312, 0.0081787109,
282    -0.012664795, -0.030334473, -0.046783447, -0.061584473,
283    -0.073883057, -0.084655762, -0.093719482, -0.10314941, -0.11251831,
284    -0.12094116, -0.1300354, -0.13421631, -0.13647461, -0.13491821,
285    -0.13186646, -0.12530518, -0.11520386, -0.10275269, -0.088775635,
286    -0.074310303, -0.061462402, -0.046875, -0.032409668, -0.014892578,
287    0.00057983398, 0.016967773, 0.031738281, 0.0440979, 0.054656982,
288    0.063659668, 0.073791504, 0.081176758, 0.088562012, 0.095916748,
289    0.10043335, 0.10443115, 0.10519409, 0.1076355, 0.1071167,
290    0.10748291, 0.10601807, 0.1026001, 0.10031128, 0.095123291,
291    0.08972168, 0.082763672, 0.075164795, 0.06729126, 0.057922363,
292    0.049865723, 0.042144775, 0.035125732, 0.026367188, 0.016571045,
293    0.0040893555, -0.0084228516, -0.025054932, -0.042053223,
294    -0.060974121, -0.077178955, -0.093902588, -0.10845947, -0.1229248,
295    -0.13531494, -0.14489746, -0.15274048, -0.15701294, -0.15966797,
296    -0.15670776, -0.15130615, -0.140625, -0.12561035, -0.10900879,
297    -0.091644287, -0.077362061, -0.063690186, -0.051879883,
298    -0.04083252, -0.028869629, -0.017059326, -0.0053710938,
299    0.0051574707, 0.020172119, 0.034484863, 0.051361084, 0.067810059,
300    0.085540771, 0.10223389, 0.11761475, 0.13146973, 0.14044189,
301    0.1468811, 0.14923096, 0.14846802, 0.14407349, 0.13641357,
302    0.12796021, 0.11773682, 0.1076355, 0.09463501, 0.081207275,
303    0.065124512, 0.050323486, 0.035552979, 0.020965576, 0.0063476562,
304    -0.0094299316, -0.024810791, -0.040008545, -0.054534912,
305    -0.0703125, -0.084228516, -0.096862793, -0.10809326, -0.1171875,
306    -0.12515259, -0.13067627, -0.13568115, -0.13632202, -0.13449097,
307    -0.131073, -0.12503052, -0.11868286, -0.11099243, -0.10317993,
308    -0.095306396, -0.087158203, -0.077667236, -0.068115234,
309    -0.059082031, -0.047241211, -0.033966064, -0.019805908,
310    -0.0041503906, 0.012573242, 0.030029297, 0.047637939, 0.063751221,
311    0.079162598, 0.092987061, 0.1055603, 0.11737061, 0.12628174,
312    0.13504028, 0.14266968, 0.14840698, 0.1519165, 0.15158081,
313    0.14685059, 0.14041138, 0.13082886, 0.11962891, 0.10525513,
314    0.089599609, 0.072784424, 0.057556152, 0.044464111, 0.032470703,
315    0.02053833, 0.0086364746, -0.0019226074, -0.013336182,
316    -0.026184082, -0.039398193, -0.052368164, -0.064605713,
317    -0.076293945, -0.086303711, -0.09475708, -0.10128784, -0.10568237,
318    -0.10748291, -0.10894775, -0.10787964, -0.10577393, -0.10229492,
319    -0.097198486, -0.090087891, -0.081695557, -0.07244873,
320    -0.062927246, -0.051940918, -0.041748047, -0.028839111,
321    -0.015960693, -0.0022277832, 0.011779785, 0.024932861, 0.038482666,
322    0.048614502, 0.059326172, 0.066925049, 0.072021484, 0.077026367,
323    0.079681396, 0.082733154, 0.082855225, 0.081481934, 0.08001709,
324    0.079833984, 0.079345703, 0.079162598, 0.078582764, 0.078521729,
325    0.078582764, 0.077575684, 0.073059082, 0.065612793, 0.055480957,
326    0.044189453, 0.031768799, 0.019744873, 0.008972168, -0.00094604492,
327    -0.0081176758, -0.013885498, -0.018463135, -0.025634766,
328    -0.032623291, -0.041442871, -0.05279541, -0.0652771, -0.078399658,
329    -0.088256836, -0.098297119, -0.10681152, -0.112854, -0.11355591,
330    -0.11132812, -0.10617065, -0.098449707, -0.087738037, -0.077606201,
331    -0.068054199, -0.059051514, -0.051330566, -0.041503906,
332    -0.031066895, -0.019470215, -0.0077514648, 0.0030517578,
333    0.014892578, 0.026062012, 0.038879395, 0.050079346, 0.060028076,
334    0.069793701, 0.076568604, 0.082611084, 0.088989258, 0.094360352,
335    0.098754883, 0.10293579, 0.10635376, 0.10720825, 0.10586548,
336    0.10314941, 0.0987854, 0.093475342, 0.087432861, 0.079406738,
337    0.070159912, 0.059204102, 0.048095703, 0.036529541, 0.023071289,
338    0.010406494, -0.0024719238, -0.01361084, -0.026184082,
339    -0.036682129, -0.047180176, -0.056213379, -0.065765381,
340    -0.07510376, -0.082702637, -0.091064453, -0.09677124, -0.10232544,
341    -0.10546875, -0.1072998, -0.10693359, -0.10385132, -0.10055542,
342    -0.093078613, -0.085235596, -0.075439453, -0.065643311,
343    -0.054138184, -0.042449951, -0.029785156, -0.017822266,
344    -0.0068359375, 0.0038452148, 0.01373291, 0.023773193, 0.033081055,
345    0.042053223, 0.049560547, 0.057952881, 0.066223145, 0.075775146,
346    0.083190918, 0.08984375, 0.096191406, 0.10202026, 0.10595703,
347    0.10742188, 0.10778809, 0.10528564, 0.1020813, 0.096069336,
348    0.08883667, 0.07925415, 0.069458008, 0.057952881, 0.047454834,
349    0.036804199, 0.026397705, 0.015777588, 0.004119873, -0.0077819824,
350    -0.019927979, -0.030822754, -0.040405273, -0.048980713,
351    -0.056610107, -0.062805176, -0.069366455, -0.074035645,
352    -0.077026367, -0.079406738, -0.079986572, -0.080322266,
353    -0.078338623, -0.07598877, -0.072479248, -0.067230225,
354    -0.061218262, -0.055847168, -0.050048828, -0.043823242,
355    -0.037536621, -0.030792236, -0.02230835, -0.012634277,
356    -0.0030822754, 0.0069580078, 0.016204834, 0.023040771, 0.03024292,
357    0.036865234, 0.043518066, 0.051025391, 0.056396484, 0.061645508,
358    0.063720703, 0.065185547, 0.065032959, 0.0652771, 0.06439209,
359    0.06451416, 0.063598633, 0.062011719, 0.058654785, 0.055297852,
360    0.053131104, 0.051208496, 0.048950195, 0.046905518, 0.042175293,
361    0.035675049, 0.028411865, 0.019622803, 0.0091247559, -0.0016174316,
362    -0.012207031, -0.022521973, -0.031616211, -0.040618896,
363    -0.047302246, -0.052734375, -0.057098389, -0.060455322,
364    -0.064849854, -0.068664551, -0.07321167, -0.074829102, -0.07623291,
365    -0.075378418, -0.072814941, -0.069152832, -0.064819336,
366    -0.059417725, -0.052368164, -0.044769287, -0.036712646,
367    -0.027679443, -0.018005371, -0.0093383789, 0.0010375977,
368    0.011474609, 0.022399902, 0.03125, 0.03793335, 0.042449951,
369    0.045379639, 0.048065186, 0.050567627, 0.054260254, 0.058166504,
370    0.062316895, 0.066436768, 0.068786621, 0.072113037, 0.074707031,
371    0.077453613, 0.076507568, 0.074523926, 0.071838379, 0.06729126,
372    0.061126709, 0.053771973, 0.045410156, 0.037078857, 0.027862549,
373    0.019134521, 0.0096435547, 0.00079345703, -0.0076293945,
374    -0.016296387, -0.024810791, -0.034454346, -0.043334961,
375    -0.052703857, -0.06048584, -0.066101074, -0.070739746, -0.07220459,
376    -0.073394775, -0.072967529, -0.072509766, -0.072296143,
377    -0.070404053, -0.06842041, -0.064819336, -0.062072754,
378    -0.058624268, -0.05380249, -0.048400879, -0.039764404,
379    -0.031280518, -0.021881104, -0.012786865, -0.0053100586,
380    0.0022888184, 0.0081176758, 0.014038086, 0.020568848, 0.026885986,
381    0.032867432, 0.037628174, 0.042999268, 0.046722412, 0.052276611,
382    0.056884766, 0.061584473, 0.065124512, 0.066955566, 0.068054199,
383    0.067565918, 0.066589355, 0.06362915, 0.058410645, 0.052764893,
384    0.045349121, 0.036987305, 0.029144287, 0.021606445, 0.015197754,
385    0.0087280273, 0.0020446777, -0.004699707, -0.012115479,
386    -0.018920898, -0.02633667, -0.032897949, -0.037841797,
387    -0.042205811, -0.046783447, -0.050567627, -0.055114746,
388    -0.05847168, -0.061004639, -0.061401367, -0.059173584,
389    -0.056915283, -0.053955078, -0.049255371, -0.043121338,
390    -0.037384033, -0.032501221, -0.027709961, -0.023468018,
391    -0.018951416, -0.01385498, -0.0096740723, -0.005279541,
392    -0.0010986328, 0.0033874512, 0.0088806152, 0.01348877, 0.01953125,
393    0.025024414, 0.031097412, 0.036895752, 0.0418396, 0.045837402,
394    0.048492432, 0.050231934, 0.051208496, 0.052490234, 0.052856445,
395    0.053344727, 0.052581787, 0.051452637, 0.049224854, 0.046356201,
396    0.042938232, 0.038543701, 0.034362793, 0.029602051, 0.025726318,
397    0.021606445, 0.017272949, 0.013641357, 0.009185791, 0.0037841797,
398    -0.0022888184, -0.0105896, -0.019439697, -0.027709961,
399    -0.034454346, -0.039642334, -0.044464111, -0.046569824,
400    -0.048400879, -0.047546387, -0.046142578, -0.043395996,
401    -0.040405273, -0.037994385, -0.035217285, -0.03414917,
402    -0.031890869, -0.029205322, -0.026306152, -0.021820068,
403    -0.018035889, -0.01361084, -0.0084228516, -0.001373291,
404    0.0057067871, 0.011962891, 0.018157959, 0.022766113, 0.02722168,
405    0.030090332, 0.032928467, 0.03503418, 0.036895752, 0.039001465,
406    0.04107666, 0.042816162, 0.04397583, 0.045074463, 0.045562744,
407    0.045654297, 0.045532227, 0.045135498, 0.043518066, 0.040618896,
408    0.036437988, 0.032012939, 0.027099609, 0.021911621, 0.016296387,
409    0.010955811, 0.006072998, 0.00048828125, -0.0053100586,
410    -0.011535645, -0.017303467, -0.023529053, -0.028717041,
411    -0.03427124, -0.038604736, -0.042572021, -0.045074463,
412    -0.046661377, -0.047851562, -0.04776001, -0.047668457,
413    -0.046691895, -0.045379639, -0.04385376, -0.042297363,
414    -0.040435791, -0.037322998, -0.033691406, -0.029205322,
415    -0.024749756, -0.019775391, -0.014556885, -0.0090942383,
416    -0.0034790039, 0.0011901855, 0.0063171387, 0.0095214844,
417    0.013519287, 0.016174316, 0.019622803, 0.022094727, 0.024627686,
418    0.027435303, 0.029876709, 0.032958984, 0.035858154, 0.038208008,
419    0.039398193, 0.040374756, 0.040222168, 0.039978027, 0.039154053,
420    0.037811279, 0.034820557, 0.030822754, 0.025695801, 0.020721436,
421    0.015991211, 0.010864258, 0.006439209, 0.0018005371, -0.002166748,
422    -0.0062561035, -0.0096740723, -0.013244629, -0.01663208,
423    -0.019927979, -0.023742676, -0.026611328, -0.029907227,
424    -0.032684326, -0.035064697, -0.037261963, -0.037811279,
425    -0.037902832, -0.036437988, -0.033233643, -0.029876709,
426    -0.026031494, -0.021759033, -0.017456055, -0.014251709,
427    -0.011566162, -0.0094909668, -0.0071105957, -0.0048217773,
428    -0.0027770996, 0.00036621094, 0.0036010742, 0.0076904297,
429    0.01159668, 0.015350342, 0.019226074, 0.021697998, 0.024749756,
430    0.026947021, 0.029266357, 0.030853271, 0.032104492, 0.032470703,
431    0.032165527, 0.03225708, 0.031860352, 0.03213501, 0.032104492,
432    0.03213501, 0.031860352, 0.031005859, 0.029205322, 0.026550293,
433    0.023406982, 0.01940918, 0.015258789, 0.010437012, 0.005859375,
434    0.0013122559, -0.003112793, -0.0067443848, -0.010040283,
435    -0.01361084, -0.016662598, -0.020324707, -0.023193359,
436    -0.026062012, -0.028503418, -0.029663086, -0.030487061,
437    -0.030059814, -0.029418945, -0.027374268, -0.025024414,
438    -0.022857666, -0.0206604, -0.018585205, -0.016113281, -0.013397217,
439    -0.010192871, -0.0072021484, -0.0043029785, -0.002166748, 0,
440    0.0024414062, 0.005065918, 0.0079345703, 0.01071167, 0.012878418,
441    0.015380859, 0.017669678, 0.019958496, 0.021575928, 0.023284912,
442    0.024078369, 0.024719238, 0.025024414, 0.02557373, 0.02633667,
443    0.026275635, 0.02520752, 0.024017334, 0.022369385, 0.021057129,
444    0.019622803, 0.017578125, 0.015258789, 0.012054443, 0.0086975098,
445    0.0051269531, 0.0020141602, -0.00082397461, -0.00390625,
446    -0.0068054199, -0.010406494, -0.014129639, -0.017425537,
447    -0.020385742, -0.02230835, -0.025054932, -0.026916504,
448    -0.028961182, -0.029724121, -0.029937744, -0.029907227,
449    -0.02911377, -0.027770996, -0.025238037, -0.023010254,
450    -0.019714355, -0.016540527, -0.013641357, -0.011077881,
451    -0.008605957, -0.0062866211, -0.0043945312, -0.0021972656,
452    -0.00067138672, 0.0012512207, 0.0020751953, 0.0036315918,
453    0.0053405762, 0.0081481934, 0.011352539, 0.014709473, 0.017944336,
454    0.020202637, 0.022003174, 0.023742676, 0.02520752, 0.026031494,
455    0.026062012, 0.025421143, 0.024261475, 0.022766113, 0.020904541,
456    0.019287109, 0.017852783, 0.017333984, 0.017181396, 0.016357422,
457    0.014770508, 0.012298584, 0.0095825195, 0.0057373047, 0.0017089844,
458    -0.0032043457, -0.0075073242, -0.011260986, -0.014068604,
459    -0.016021729, -0.017608643, -0.0184021, -0.019104004, -0.019775391,
460    -0.020507812, -0.020721436, -0.020355225, -0.019348145,
461    -0.017974854, -0.016235352, -0.014648438, -0.013183594,
462    -0.011657715, -0.010498047, -0.0097961426, -0.0091552734,
463    -0.0082702637, -0.0070800781, -0.0055236816, -0.003112793,
464    -0.00054931641, 0.0024719238, 0.0049743652, 0.0075073242,
465    0.0095825195, 0.011352539, 0.012512207, 0.013580322, 0.014251709,
466    0.015045166, 0.016113281, 0.017089844, 0.018096924, 0.018890381,
467    0.019897461, 0.020629883, 0.020965576, 0.020782471, 0.019744873,
468    0.018371582, 0.016113281, 0.014068604, 0.011260986, 0.0094604492,
469    0.0072631836, 0.0054016113, 0.0033874512, 0.0014343262,
470    -0.0007019043, -0.0032958984, -0.0055847168, -0.0082397461,
471    -0.010650635, -0.013275146, -0.015167236, -0.016662598,
472    -0.017852783, -0.018218994, -0.018157959, -0.017486572,
473    -0.017181396, -0.01675415, -0.01651001, -0.015808105, -0.015014648,
474    -0.01385498, -0.012390137, -0.01083374, -0.0090332031,
475    -0.0072937012, -0.0054626465, -0.0038757324, -0.0022888184,
476    -0.00051879883, 0.0011901855, 0.0027770996, 0.0043334961,
477    0.0057067871, 0.0071716309, 0.0084533691, 0.010101318, 0.011047363,
478    0.011993408, 0.012969971, 0.013092041, 0.013427734, 0.013641357,
479    0.013946533, 0.014221191, 0.014099121, 0.01385498, 0.012756348,
480    0.012054443, 0.011322021, 0.010162354, 0.0087280273, 0.0073547363,
481    0.0061950684, 0.0046386719, 0.0029602051, 0.0014953613,
482    -0.00033569336, -0.0021362305, -0.0043640137, -0.0064086914,
483    -0.0086975098, -0.010498047, -0.012023926, -0.013092041,
484    -0.013366699, -0.01348877, -0.013793945, -0.013763428,
485    -0.013977051, -0.013824463, -0.013519287, -0.013305664,
486    -0.012878418, -0.012390137, -0.011352539, -0.010131836,
487    -0.0085144043, -0.0065307617, -0.0048217773, -0.0028076172,
488    -0.00094604492, 0.00082397461, 0.0019836426, 0.0028991699,
489    0.0037841797, 0.0042114258, 0.0050048828, 0.0057067871,
490    0.0067443848, 0.0078735352, 0.0088195801, 0.0099182129,
491    0.010986328, 0.011657715, 0.012145996, 0.012573242, 0.012969971,
492    0.013000488, 0.0128479, 0.012481689, 0.011993408, 0.011352539,
493    0.010498047, 0.0093688965, 0.0081176758, 0.0067749023,
494    0.0054931641, 0.0044250488, 0.0032958984, 0.001953125,
495    0.00054931641, -0.00085449219, -0.0026855469, -0.0042114258,
496    -0.0060119629, -0.0071716309, -0.0086364746, -0.0095825195,
497    -0.010284424, -0.010528564, -0.010498047, -0.010284424,
498    -0.0096740723, -0.0094299316, -0.0088195801, -0.0082092285,
499    -0.0076599121, -0.007232666, -0.0068359375, -0.0063171387,
500    -0.0056152344, -0.0047607422, -0.0038146973, -0.0027770996,
501    -0.0015563965, -0.00061035156, 0.00057983398, 0.0016174316,
502    0.002532959, 0.0032348633, 0.0037536621, 0.0041503906,
503    0.0043945312, 0.0048217773, 0.0053405762, 0.0060119629,
504    0.0067443848, 0.0075073242, 0.0080566406, 0.0084228516,
505    0.008392334, 0.0083618164, 0.0080566406, 0.0076293945,
506    0.0071411133, 0.0067749023, 0.0062255859, 0.0054626465,
507    0.0046081543, 0.0036315918, 0.0026550293, 0.0014648438,
508    0.0002746582, -0.00076293945, -0.0018615723, -0.0027160645,
509    -0.0035400391, -0.0041809082, -0.0048522949, -0.0054626465,
510    -0.0061035156, -0.0067138672, -0.0072021484, -0.0072937012,
511    -0.0072937012, -0.0069885254, -0.0065002441, -0.0059204102,
512    -0.0051269531, -0.0045471191, -0.0039672852, -0.0036010742,
513    -0.0031738281, -0.0027770996, -0.0023803711, -0.0018310547,
514    -0.0012817383, -0.00064086914, -3.0517578e-05, 0.00064086914,
515    0.0011901855, 0.0017700195, 0.0021972656, 0.002532959,
516    0.0028381348, 0.003112793, 0.0034484863, 0.0038146973,
517    0.0040893555, 0.0043334961, 0.0044250488, 0.0044555664,
518    0.0045776367, 0.0046691895, 0.0047302246, 0.0046691895,
519    0.0045471191, 0.0042724609, 0.00390625, 0.0035095215, 0.0029296875,
520    0.0024414062, 0.001953125, 0.0014343262, 0.00085449219,
521    0.00021362305, -0.00018310547, -0.00073242188, -0.0012207031,
522    -0.001739502, -0.002166748, 0
523    };
524 
525 static const double tick[] = {
526   0.002166748, 0.0023193359, 0.001739502, 0.002166748, 0.0021362305,
527   0.0018615723, 0.0020446777, 0.002166748, 0.0019836426, 0.0022277832,
528   0.0018310547, 0.0023803711, 0.0022277832, 0.001953125, 0.0022888184,
529   0.0018005371, 0.0025024414, 0.0018310547, 0.0019836426, 0.001953125,
530   0.0020446777, 0.0017700195, 0.0021057129, 0.0020751953,
531   0.0019836426, 0.0014343262, 0.0024414062, 0.0015869141,
532   0.0022888184, 0.0016784668, 0.0025024414, 0.0017089844,
533   0.0024719238, 0.0020141602, 0.0026855469, 0.0013427734,
534   0.0028381348, 0.0015563965, 0.0020446777, 0.0018615723, 0.002532959,
535   0.0015258789, 0.0021972656, 0.0016784668, 0.002166748, 0.0016479492,
536   0.0021362305, 0.0018920898, 0.0021362305, 0.0017700195,
537   0.0020141602, 0.0022277832, 0.001739502, 0.0022583008, 0.001953125,
538   0.0021362305, 0.0018920898, 0.0020446777, 0.001953125, 0.0026550293,
539   0.0014953613, 0.0023803711, 0.001953125, 0.0021972656, 0.0015869141,
540   0.0017700195, 0.0020141602, 0.0022277832, 0.0015258789,
541   0.0015869141, -0.0045471191, -0.011230469, -0.009185791,
542   -0.0038757324, -0.020690918, -0.030731201, -0.0088806152,
543   0.0032958984, -0.0068664551, -0.0024719238, 0.024688721,
544   0.035400391, 0.014892578, 0.0047607422, 0.011779785, 0.0035095215,
545   -0.012573242, -0.0059814453, 0.0065612793, 0.0039672852,
546   0.0014343262, 0.010406494, 0.027374268, 0.021942139, 0.0065612793,
547   0.010681152, 0.024688721, 0.024291992, 0.012451172, 0.023590088,
548   0.033203125, 0.024139404, 0.010375977, 0.016662598, 0.026885986,
549   0.039215088, 0.038330078, 0.039703369, 0.048309326, 0.046447754,
550   0.029937744, 0.031311035, 0.066497803, 0.052856445, -0.0074768066,
551   -0.016998291, 0.016784668, 0.039428711, 0.021759033, 0.0040893555,
552   -0.0016174316, 0.012451172, 0.052215576, 0.047485352, 0.017150879,
553   0.015075684, 0.013397217, 0.024475098, 0.035247803, 0.039978027,
554   0.06137085, 0.080108643, 0.078521729, 0.054779053, 0.0625,
555   0.1076355, 0.10934448, 0.079803467, 0.056945801, 0.056182861,
556   0.047851562, 0.028503418, 0.022979736, 0.010803223, -0.015686035,
557   -0.050811768, -0.072509766, -0.057891846, -0.032073975,
558   -0.051300049, -0.078887939, -0.069366455, -0.038146973,
559   -0.0099182129, 0.010528564, 0.048492432, 0.082305908, 0.084838867,
560   0.059753418, 0.0043029785, -0.087158203, -0.18395996, -0.2911377,
561   -0.37133789, -0.33422852, -0.28649902, -0.31976318, -0.33630371,
562   -0.22824097, 0.020385742, 0.24456787, 0.31582642, 0.37380981,
563   0.40820312, 0.40539551, 0.41415405, 0.34210205, 0.20877075,
564   0.010498047, -0.17623901, -0.22705078, -0.15548706, -0.039855957,
565   0.0067443848, -0.0022277832, -0.050048828, -0.10186768, -0.11407471,
566   -0.1050415, -0.067352295, 0.0018615723, 0.079742432, 0.11517334,
567   0.12005615, 0.14709473, 0.19543457, 0.2015686, 0.150177,
568   0.052703857, -0.029602051, -0.084838867, -0.14590454, -0.18951416,
569   -0.18814087, -0.15014648, -0.11505127, -0.094360352, -0.076721191,
570   -0.037872314, 0.011749268, 0.034851074, 0.060791016, 0.11419678,
571   0.14096069, 0.13140869, 0.1277771, 0.12313843, 0.10934448,
572   0.055541992, -0.026397705, -0.07144165, -0.050262451, -0.0097961426,
573   -0.02822876, -0.15008545, -0.28927612, -0.32809448, -0.2772522,
574   -0.15994263, 0.016448975, 0.13085938, 0.12866211, 0.1072998,
575   0.094177246, 0.036346436, -0.026245117, -0.040496826, -0.01348877,
576   0.0085144043, 0.0070800781, -0.0086669922, -0.0038452148,
577   0.040252686, 0.077026367, 0.071960449, 0.032470703, 0.002166748,
578   0.0065612793, 0.0053100586, -0.025115967, -0.058532715,
579   -0.060699463, -0.015563965, 0.048278809, 0.086273193, 0.078582764,
580   0.031524658, -0.026580811, -0.077911377, -0.11288452, -0.13244629,
581   -0.15325928, -0.14471436, -0.095672607, -0.048858643, -0.012115479,
582   0.023132324, 0.051544189, 0.046691895, 0.01373291, -0.0097961426,
583   -0.016143799, -0.022460938, -0.025726318, 0.0075378418, 0.091522217,
584   0.19741821, 0.23269653, 0.16726685, 0.12173462, 0.12973022,
585   0.064300537, -0.12158203, -0.29794312, -0.33813477, -0.27990723,
586   -0.19500732, -0.063903809, 0.10449219, 0.23712158, 0.34381104,
587   0.41766357, 0.37658691, 0.22747803, 0.056365967, -0.088317871,
588   -0.19509888, -0.21295166, -0.15499878, -0.1114502, -0.093597412,
589   -0.071289062, -0.034606934, 0.009552002, 0.068084717, 0.12075806,
590   0.13098145, 0.11383057, 0.08291626, 0.037322998, -0.017211914,
591   -0.05456543, -0.074829102, -0.087768555, -0.076202393, -0.022735596,
592   0.032653809, 0.045623779, 0.045806885, 0.040496826, 0.016845703,
593   -0.023712158, -0.057769775, -0.07232666, -0.055145264,
594   -0.00091552734, 0.063201904, 0.11480713, 0.13497925, 0.11572266,
595   0.030731201, -0.11346436, -0.23406982, -0.27478027, -0.23690796,
596   -0.13735962, -0.016479492, 0.076904297, 0.09487915, 0.070220947,
597   0.058074951, 0.05355835, 0.017181396, -0.096893311, -0.21951294,
598   -0.26168823, -0.20983887, -0.093109131, 0.051879883, 0.15631104,
599   0.18319702, 0.15551758, 0.078826904, -0.012084961, -0.083007812,
600   -0.10766602, -0.085479736, -0.059906006, -0.040039062, -0.031646729,
601   -0.046142578, -0.065551758, -0.03414917, 0.025482178, 0.046325684,
602   0.054473877, 0.073303223, 0.073791504, 0.068786621, 0.082366943,
603   0.080596924, 0.052215576, 0.015594482, -0.0053405762, 0.0040588379,
604   0.032501221, 0.065551758, 0.093322754, 0.1199646, 0.13677979,
605   0.14523315, 0.1401062, 0.12902832, 0.11553955, 0.09664917,
606   0.091278076, 0.13305664, 0.24594116, 0.38180542, 0.45907593,
607   0.45343018, 0.4213562, 0.36801147, 0.31027222, 0.30541992,
608   0.33691406, 0.35479736, 0.3321228, 0.27334595, 0.25701904,
609   0.23641968, 0.18139648, 0.16793823, 0.17538452, 0.17803955,
610   0.19009399, 0.25280762, 0.38833618, 0.54940796, 0.70336914,
611   0.74789429, 0.64334106, 0.49359131, 0.30703735, 0.071624756,
612   -0.075897217, -0.096191406, -0.076568604, 0.023406982, 0.15078735,
613   0.21612549, 0.30493164, 0.39697266, 0.41009521, 0.32348633,
614   0.24707031, 0.20645142, 0.11102295, 0.0075073242, -0.046325684,
615   -0.038085938, 0.014251709, 0.096618652, 0.1842041, 0.21417236,
616   0.15905762, 0.0016174316, -0.25387573, -0.57302856, -0.85641479,
617   -0.99038696, -0.99038696, -0.99038696, -0.99038696, -0.99038696,
618   -0.90664673, -0.64364624, -0.42892456, -0.32131958, -0.23550415,
619   -0.25338745, -0.32595825, -0.44995117, -0.57858276, -0.68716431,
620   -0.80804443, -0.90670776, -0.9654541, -0.97409058, -0.95211792,
621   -0.90264893, -0.85357666, -0.80429077, -0.7482605, -0.69125366,
622   -0.60876465, -0.46228027, -0.23776245, -0.049041748, 0.019989014,
623   0.048950195, 0.033172607, -0.02142334, -0.084259033, -0.15020752,
624   -0.16220093, -0.14608765, -0.14526367, -0.16497803, -0.1781311,
625   -0.19717407, -0.24871826, -0.26089478, -0.21688843, -0.19818115,
626   -0.23718262, -0.2824707, -0.32797241, -0.36758423, -0.3258667,
627   -0.18960571, -0.082885742, -0.056365967, -0.054534912, -0.10766602,
628   -0.26501465, -0.44006348, -0.58209229, -0.71032715, -0.77719116,
629   -0.76467896, -0.68914795, -0.51403809, -0.27841187, -0.092163086,
630   0.056030273, 0.16799927, 0.19827271, 0.18478394, 0.17562866,
631   0.15100098, 0.066619873, -0.040313721, -0.15875244, -0.27044678,
632   -0.35754395, -0.39682007, -0.34078979, -0.22293091, -0.13269043,
633   -0.048034668, 0.0730896, 0.19732666, 0.30789185, 0.39804077,
634   0.44244385, 0.41928101, 0.35534668, 0.29177856, 0.22891235,
635   0.18084717, 0.15231323, 0.13360596, 0.13049316, 0.13156128,
636   0.1293335, 0.11477661, 0.12258911, 0.1824646, 0.26675415,
637   0.35171509, 0.43341064, 0.49163818, 0.51086426, 0.50985718,
638   0.49337769, 0.45962524, 0.43182373, 0.42025757, 0.4161377,
639   0.40631104, 0.40435791, 0.42172241, 0.44003296, 0.45986938,
640   0.47451782, 0.47540283, 0.48825073, 0.51907349, 0.5612793,
641   0.62319946, 0.7109375, 0.79650879, 0.86904907, 0.92111206,
642   0.96124268, 0.96994019, 0.92593384, 0.83483887, 0.70803833,
643   0.57583618, 0.45834351, 0.3828125, 0.35479736, 0.35110474,
644   0.38894653, 0.45022583, 0.49264526, 0.48919678, 0.45336914,
645   0.40823364, 0.35009766, 0.28097534, 0.22503662, 0.18313599,
646   0.14697266, 0.11010742, 0.07019043, 0.023956299, -0.024658203,
647   -0.087219238, -0.14846802, -0.19796753, -0.23556519, -0.25576782,
648   -0.25366211, -0.2333374, -0.19955444, -0.13546753, -0.052581787,
649   0.018371582, 0.079620361, 0.14343262, 0.20013428, 0.2388916,
650   0.25930786, 0.26889038, 0.26208496, 0.24691772, 0.22842407,
651   0.19110107, 0.14624023, 0.093017578, 0.034301758, -0.044189453,
652   -0.1378479, -0.22967529, -0.29983521, -0.32650757, -0.31271362,
653   -0.26196289, -0.19345093, -0.11380005, -0.032806396, 0.038330078,
654   0.087677002, 0.10690308, 0.092254639, 0.035766602, -0.057952881,
655   -0.17190552, -0.28945923, -0.40023804, -0.49761963, -0.5635376,
656   -0.59222412, -0.60348511, -0.61352539, -0.60958862, -0.57702637,
657   -0.53674316, -0.49453735, -0.45465088, -0.42507935, -0.40863037,
658   -0.4095459, -0.42730713, -0.45852661, -0.49362183, -0.53048706,
659   -0.55499268, -0.5526123, -0.52798462, -0.49053955, -0.44320679,
660   -0.38500977, -0.30548096, -0.2182312, -0.14306641, -0.073547363,
661   -0.0094299316, 0.045196533, 0.083312988, 0.11129761, 0.14489746,
662   0.19921875, 0.24578857, 0.25418091, 0.23397827, 0.20111084,
663   0.14822388, 0.078582764, 0.020812988, -0.012390137, -0.02520752,
664   -0.010559082, 0.026947021, 0.081542969, 0.13687134, 0.18441772,
665   0.21426392, 0.22711182, 0.21377563, 0.17559814, 0.12246704,
666   0.060882568, -0.0017089844, -0.067504883, -0.12475586, -0.16159058,
667   -0.16809082, -0.15145874, -0.12081909, -0.077362061, -0.03012085,
668   0.011444092, 0.044189453, 0.075256348, 0.1050415, 0.13238525,
669   0.15667725, 0.17337036, 0.17050171, 0.14389038, 0.10055542,
670   0.057220459, 0.016204834, -0.012664795, -0.025024414, -0.014221191,
671   0.012939453, 0.063781738, 0.12664795, 0.19824219, 0.26501465,
672   0.32858276, 0.3782959, 0.40698242, 0.42160034, 0.42788696,
673   0.43948364, 0.46075439, 0.48413086, 0.49819946, 0.50167847,
674   0.49963379, 0.48529053, 0.45324707, 0.40890503, 0.36273193,
675   0.31619263, 0.27200317, 0.23919678, 0.21868896, 0.2046814,
676   0.18276978, 0.15286255, 0.11727905, 0.071807861, 0.015777588,
677   -0.054199219, -0.12478638, -0.19580078, -0.25622559, -0.30892944,
678   -0.34820557, -0.37606812, -0.39535522, -0.40704346, -0.42147827,
679   -0.43313599, -0.4447937, -0.44998169, -0.44503784, -0.431427,
680   -0.40750122, -0.37838745, -0.34109497, -0.29644775, -0.24822998,
681   -0.1991272, -0.15881348, -0.12728882, -0.10827637, -0.09979248,
682   -0.094055176, -0.091125488, -0.089508057, -0.087646484, -0.0809021,
683   -0.072387695, -0.055328369, -0.035583496, -0.0079956055,
684   0.018188477, 0.04309082, 0.060577393, 0.073272705, 0.080413818,
685   0.084503174, 0.083343506, 0.07522583, 0.071136475, 0.076141357,
686   0.088348389, 0.10449219, 0.12374878, 0.14376831, 0.1534729,
687   0.14807129, 0.1255188, 0.092559814, 0.047485352, -0.0028076172,
688   -0.062286377, -0.12301636, -0.17855835, -0.22631836, -0.26260376,
689   -0.28588867, -0.29559326, -0.29629517, -0.287323, -0.27877808,
690   -0.26751709, -0.25668335, -0.24749756, -0.24139404, -0.24041748,
691   -0.23944092, -0.23544312, -0.22592163, -0.20898438, -0.184021,
692   -0.15014648, -0.11633301, -0.082702637, -0.0496521, -0.017944336,
693   0.017486572, 0.052581787, 0.092041016, 0.13427734, 0.18481445,
694   0.24057007, 0.29467773, 0.33944702, 0.37042236, 0.38433838,
695   0.38241577, 0.36376953, 0.33966064, 0.31497192, 0.29443359,
696   0.27792358, 0.2600708, 0.24700928, 0.23727417, 0.23452759,
697   0.23358154, 0.23257446, 0.23406982, 0.23239136, 0.23312378,
698   0.22958374, 0.22579956, 0.21710205, 0.20043945, 0.17419434,
699   0.13870239, 0.096466064, 0.051971436, 0.010437012, -0.024963379,
700   -0.052490234, -0.066467285, -0.068969727, -0.058563232,
701   -0.044616699, -0.030029297, -0.017486572, -0.0077209473,
702   -0.0032043457, -0.0048217773, -0.012481689, -0.027801514,
703   -0.042724609, -0.060211182, -0.072937012, -0.081756592,
704   -0.082977295, -0.07800293, -0.064605713, -0.043792725, -0.013031006,
705   0.028625488, 0.077667236, 0.13046265, 0.18130493, 0.22851562,
706   0.26617432, 0.29119873, 0.3039856, 0.30383301, 0.2925415,
707   0.27261353, 0.24078369, 0.20632935, 0.16989136, 0.13552856,
708   0.1038208, 0.074462891, 0.045898438, 0.013061523, -0.021087646,
709   -0.06072998, -0.099700928, -0.14016724, -0.17874146, -0.21130371,
710   -0.23596191, -0.25204468, -0.26132202, -0.26803589, -0.27981567,
711   -0.29934692, -0.32730103, -0.36425781, -0.40698242, -0.45092773,
712   -0.48971558, -0.51776123, -0.53198242, -0.5333252, -0.52218628,
713   -0.50076294, -0.47000122, -0.43017578, -0.38583374, -0.33612061,
714   -0.28347778, -0.23306274, -0.18682861, -0.14859009, -0.11853027,
715   -0.099853516, -0.09072876, -0.088562012, -0.091369629, -0.098022461,
716   -0.10787964, -0.11395264, -0.11013794, -0.093841553, -0.069274902,
717   -0.035369873, 0.0026245117, 0.046783447, 0.090698242, 0.1315918,
718   0.16296387, 0.18664551, 0.2038269, 0.2154541, 0.22036743,
719   0.21444702, 0.20489502, 0.18753052, 0.16650391, 0.13882446,
720   0.10861206, 0.078735352, 0.049346924, 0.024078369, 0.0013427734,
721   -0.017974854, -0.032165527, -0.043243408, -0.050262451, -0.05670166,
722   -0.061157227, -0.068695068, -0.078918457, -0.085601807,
723   -0.090698242, -0.093658447, -0.095581055, -0.092529297, -0.08404541,
724   -0.068939209, -0.053649902, -0.037017822, -0.016448975,
725   0.0096740723, 0.041687012, 0.074798584, 0.10549927, 0.13494873,
726   0.16445923, 0.1937561, 0.2208252, 0.24539185, 0.26721191,
727   0.28359985, 0.29733276, 0.30651855, 0.31622314, 0.32266235,
728   0.31842041, 0.31008911, 0.29681396, 0.2819519, 0.26678467,
729   0.25457764, 0.24642944, 0.24273682, 0.23709106, 0.22891235,
730   0.2197876, 0.21051025, 0.20257568, 0.19024658, 0.17764282,
731   0.1607666, 0.14309692, 0.12210083, 0.096893311, 0.073150635,
732   0.049530029, 0.028045654, 0.0048522949, -0.017669678, -0.036224365,
733   -0.050506592, -0.059112549, -0.066345215, -0.068939209,
734   -0.070495605, -0.073059082, -0.073028564, -0.076812744,
735   -0.080963135, -0.092010498, -0.10275269, -0.11016846, -0.11907959,
736   -0.12677002, -0.13555908, -0.13842773, -0.13674927, -0.13088989,
737   -0.11846924, -0.099334717, -0.072784424, -0.042541504,
738   -0.0082702637, 0.031524658, 0.072387695, 0.10968018, 0.13861084,
739   0.15847778, 0.16812134, 0.16650391, 0.15774536, 0.14169312,
740   0.12005615, 0.092895508, 0.061737061, 0.02923584, -0.0022277832,
741   -0.032836914, -0.05670166, -0.075439453, -0.093322754, -0.1121521,
742   -0.13204956, -0.15255737, -0.17541504, -0.19900513, -0.21817017,
743   -0.23519897, -0.25091553, -0.27148438, -0.29296875, -0.31069946,
744   -0.3243103, -0.33599854, -0.34689331, -0.35461426, -0.3598938,
745   -0.36212158, -0.36105347, -0.35699463, -0.34725952, -0.33319092,
746   -0.31484985, -0.29327393, -0.26959229, -0.24423218, -0.21859741,
747   -0.18777466, -0.15194702, -0.11468506, -0.079498291, -0.0496521,
748   -0.023529053, 0.001159668, 0.025848389, 0.044494629, 0.054168701,
749   0.058135986, 0.059844971, 0.066894531, 0.075195312, 0.087585449,
750   0.10009766, 0.11755371, 0.13864136, 0.16278076, 0.18545532,
751   0.20370483, 0.22076416, 0.23773193, 0.25531006, 0.26928711,
752   0.27508545, 0.27371216, 0.26660156, 0.25100708, 0.2260437,
753   0.1942749, 0.16079712, 0.12878418, 0.10110474, 0.07244873,
754   0.046051025, 0.024993896, 0.010284424, -0.0010070801, -0.0082397461,
755   -0.011383057, -0.0072937012, -0.0034179688, 0.0040893555,
756   0.013519287, 0.022583008, 0.031219482, 0.032714844, 0.034851074,
757   0.033508301, 0.033935547, 0.030975342, 0.031982422, 0.039794922,
758   0.05569458, 0.077392578, 0.10113525, 0.1277771, 0.15429688,
759   0.18026733, 0.20275879, 0.21591187, 0.22341919, 0.224823,
760   0.22775269, 0.22766113, 0.22491455, 0.2170105, 0.20431519,
761   0.19171143, 0.17459106, 0.15859985, 0.14315796, 0.12554932,
762   0.10998535, 0.09463501, 0.083435059, 0.070465088, 0.057983398,
763   0.048278809, 0.041351318, 0.036224365, 0.030639648, 0.021850586,
764   0.012176514, -0.0034484863, -0.022735596, -0.045166016,
765   -0.068908691, -0.094421387, -0.11810303, -0.13882446, -0.15774536,
766   -0.17269897, -0.18533325, -0.19125366, -0.19116211, -0.18655396,
767   -0.18423462, -0.18267822, -0.17877197, -0.17248535, -0.16625977,
768   -0.16271973, -0.16104126, -0.16125488, -0.16192627, -0.16333008,
769   -0.16461182, -0.16616821, -0.16235352, -0.15325928, -0.13644409,
770   -0.11523438, -0.090240479, -0.058013916, -0.024383545, 0.0089111328,
771   0.039093018, 0.067749023, 0.096221924, 0.11837769, 0.13458252,
772   0.13946533, 0.13269043, 0.12045288, 0.099212646, 0.073608398,
773   0.042266846, 0.011627197, -0.019042969, -0.04876709, -0.07409668,
774   -0.096038818, -0.11062622, -0.1239624, -0.1340332, -0.14199829,
775   -0.14428711, -0.14074707, -0.13641357, -0.13253784, -0.13400269,
776   -0.13830566, -0.1505127, -0.16162109, -0.17391968, -0.1847229,
777   -0.19418335, -0.2019043, -0.20770264, -0.21234131, -0.21121216,
778   -0.20510864, -0.19058228, -0.16986084, -0.14498901, -0.11407471,
779   -0.082061768, -0.048492432, -0.015533447, 0.018341064, 0.052185059,
780   0.078826904, 0.10336304, 0.12106323, 0.1315918, 0.13513184,
781   0.13653564, 0.13986206, 0.14501953, 0.14926147, 0.15634155,
782   0.16189575, 0.16915894, 0.17584229, 0.18264771, 0.19329834,
783   0.20681763, 0.22433472, 0.24029541, 0.25708008, 0.27435303,
784   0.28552246, 0.28768921, 0.2796936, 0.26013184, 0.23287964,
785   0.20193481, 0.17483521, 0.14996338, 0.12689209, 0.10336304,
786   0.081939697, 0.063842773, 0.047302246, 0.031677246, 0.01953125,
787   0.010559082, 0.0013427734, -0.0082397461, -0.016357422,
788   -0.019348145, -0.023223877, -0.023406982, -0.023895264,
789   -0.022155762, -0.020477295, -0.017089844, -0.013031006,
790   -0.0098571777, -0.0046691895, 6.1035156e-05, 0.0072937012,
791   0.0128479, 0.025878906, 0.040618896, 0.055908203, 0.066558838,
792   0.072021484, 0.076965332, 0.080383301, 0.081237793, 0.077575684,
793   0.072113037, 0.067443848, 0.064880371, 0.063720703, 0.058959961,
794   0.054534912, 0.047576904, 0.039276123, 0.025390625, 0.010986328,
795   -0.0061645508, -0.018859863, -0.028900146, -0.036376953,
796   -0.041473389, -0.047241211, -0.054260254, -0.063049316, -0.0730896,
797   -0.081085205, -0.090118408, -0.10089111, -0.11264038, -0.12442017,
798   -0.1350708, -0.14535522, -0.15383911, -0.16052246, -0.16329956,
799   -0.1668396, -0.17166138, -0.17819214, -0.18157959, -0.18133545,
800   -0.17935181, -0.1758728, -0.17181396, -0.16687012, -0.16067505,
801   -0.15344238, -0.14562988, -0.13626099, -0.12780762, -0.11743164,
802   -0.10961914, -0.098510742, -0.085601807, -0.071716309, -0.05758667,
803   -0.041412354, -0.024078369, -0.0043640137, 0.015960693, 0.037567139,
804   0.060455322, 0.082855225, 0.10211182, 0.11419678, 0.12088013,
805   0.12197876, 0.12145996, 0.11743164, 0.11026001, 0.096984863,
806   0.077789307, 0.054504395, 0.031890869, 0.010986328, -0.0061340332,
807   -0.020507812, -0.032836914, -0.042541504, -0.050476074,
808   -0.056762695, -0.06137085, -0.065032959, -0.064727783, -0.064147949,
809   -0.060119629, -0.05770874, -0.056549072, -0.057098389, -0.059692383,
810   -0.063140869, -0.067321777, -0.072021484, -0.075439453,
811   -0.078033447, -0.077575684, -0.073059082, -0.063995361,
812   -0.049560547, -0.030212402, -0.008605957, 0.015930176, 0.039794922,
813   0.065917969, 0.090820312, 0.11099243, 0.12619019, 0.13739014,
814   0.1472168, 0.15374756, 0.15893555, 0.16152954, 0.16671753,
815   0.17425537, 0.17889404, 0.18060303, 0.17886353, 0.17861938,
816   0.17984009, 0.18179321, 0.18499756, 0.18548584, 0.18609619,
817   0.18521118, 0.18234253, 0.17956543, 0.17547607, 0.1690979,
818   0.16101074, 0.15505981, 0.14837646, 0.13739014, 0.12255859,
819   0.10522461, 0.082397461, 0.05770874, 0.030609131, 0.0046691895,
820   -0.018676758, -0.037872314, -0.054779053, -0.069458008,
821   -0.078826904, -0.084136963, -0.085479736, -0.083404541,
822   -0.076324463, -0.066314697, -0.056060791, -0.049926758,
823   -0.043182373, -0.040252686, -0.037811279, -0.038543701,
824   -0.039276123, -0.040771484, -0.041687012, -0.042053223,
825   -0.043548584, -0.040161133, -0.034637451, -0.024841309,
826   -0.015197754, -0.0059509277, 0.001159668, 0.0042114258,
827   0.0062866211, 0.0049438477, 0.0047302246, 0.0028686523,
828   -0.00082397461, -0.0034790039, -0.0077514648, -0.01260376,
829   -0.019500732, -0.02645874, -0.032409668, -0.041351318, -0.049163818,
830   -0.058532715, -0.068603516, -0.078948975, -0.088897705,
831   -0.094543457, -0.097167969, -0.095581055, -0.094726562,
832   -0.095001221, -0.095336914, -0.094726562, -0.096160889, -0.09866333,
833   -0.10427856, -0.1104126, -0.11727905, -0.12301636, -0.13006592,
834   -0.13479614, -0.13574219, -0.13119507, -0.12451172, -0.11630249,
835   -0.10476685, -0.094543457, -0.08416748, -0.074066162, -0.061767578,
836   -0.050415039, -0.040557861, -0.031402588, -0.023834229, -0.01361084,
837   -0.0036010742, 0.0055236816, 0.013122559, 0.02142334, 0.029418945,
838   0.041717529, 0.056518555, 0.075714111, 0.095062256, 0.11523438,
839   0.13363647, 0.146698, 0.15646362, 0.16061401, 0.16043091,
840   0.15634155, 0.14889526, 0.13769531, 0.12127686, 0.10272217,
841   0.085418701, 0.070739746, 0.055541992, 0.040405273, 0.024200439,
842   0.010803223, -0.00048828125, -0.0087890625, -0.012481689,
843   -0.014404297, -0.014068604, -0.011230469, -0.0081787109,
844   -0.0049438477, -0.0041809082, -0.0060119629, -0.012237549,
845   -0.020355225, -0.027832031, -0.034759521, -0.042053223, -0.04675293,
846   -0.045349121, -0.042297363, -0.03604126, -0.027862549, -0.015777588,
847   -0.0011291504, 0.013397217, 0.030212402, 0.04598999, 0.061401367,
848   0.074615479, 0.086242676, 0.094238281, 0.09979248, 0.10458374,
849   0.10662842, 0.10894775, 0.11077881, 0.11056519, 0.11022949,
850   0.10903931, 0.1072998, 0.10266113, 0.098999023, 0.095977783,
851   0.095916748, 0.095611572, 0.094909668, 0.093963623, 0.092895508,
852   0.092559814, 0.090423584, 0.084014893, 0.073852539, 0.059020996,
853   0.044830322, 0.02822876, 0.012023926, -0.0049743652, -0.020050049,
854   -0.036193848, -0.052398682, -0.066253662, -0.078796387,
855   -0.089019775, -0.098083496, -0.10592651, -0.11224365, -0.11618042,
856   -0.11715698, -0.11807251, -0.11676025, -0.11459351, -0.11108398,
857   -0.10748291, -0.10400391, -0.10064697, -0.096923828, -0.092163086,
858   -0.086639404, -0.08114624, -0.075531006, -0.071838379, -0.06854248,
859   -0.064971924, -0.061035156, -0.054382324, -0.047393799,
860   -0.043518066, -0.04095459, -0.041351318, -0.041259766, -0.041931152,
861   -0.04095459, -0.037841797, -0.034210205, -0.029541016, -0.026550293,
862   -0.02444458, -0.024139404, -0.026397705, -0.03036499, -0.035675049,
863   -0.041046143, -0.04675293, -0.054168701, -0.061218262, -0.065704346,
864   -0.066650391, -0.066650391, -0.063537598, -0.06048584, -0.055664062,
865   -0.053375244, -0.052642822, -0.052764893, -0.054718018,
866   -0.053955078, -0.05355835, -0.052764893, -0.053405762, -0.056213379,
867   -0.06036377, -0.062744141, -0.063110352, -0.06072998, -0.054504395,
868   -0.044647217, -0.034057617, -0.022949219, -0.011810303, 0.002532959,
869   0.015594482, 0.024383545, 0.032165527, 0.03894043, 0.047302246,
870   0.055236816, 0.064605713, 0.072387695, 0.081115723, 0.088348389,
871   0.094940186, 0.10223389, 0.11135864, 0.12249756, 0.13082886,
872   0.13803101, 0.14520264, 0.14993286, 0.15118408, 0.14987183,
873   0.14846802, 0.14581299, 0.13851929, 0.12878418, 0.11639404,
874   0.10375977, 0.09173584, 0.078796387, 0.063842773, 0.048980713,
875   0.034576416, 0.022338867, 0.011932373, 0.0039672852, 0.0011291504,
876   -0.00094604492, -0.0015563965, -0.0034484863, -0.0050354004,
877   -0.0083312988, -0.012390137, -0.01651001, -0.019683838,
878   -0.022003174, -0.024414062, -0.027557373, -0.03137207, -0.03314209,
879   -0.030700684, -0.028045654, -0.025482178, -0.022247314,
880   -0.018737793, -0.013275146, -0.0074157715, 0.0010070801,
881   0.0093078613, 0.01763916, 0.027404785, 0.035583496, 0.043151855,
882   0.047485352, 0.051239014, 0.053649902, 0.054626465, 0.054382324,
883   0.053039551, 0.050323486, 0.046691895, 0.044158936, 0.041534424,
884   0.039794922, 0.035797119, 0.031494141, 0.026580811, 0.021575928,
885   0.017944336, 0.014038086, 0.0093688965, 0.0051574707,
886   -0.00067138672, -0.0070495605, -0.014984131, -0.021728516,
887   -0.030151367, -0.037719727, -0.049804688, -0.062255859,
888   -0.073791504, -0.08416748, -0.089599609, -0.096496582, -0.10055542,
889   -0.10531616, -0.10870361, -0.11083984, -0.11102295, -0.10925293,
890   -0.10610962, -0.10125732, -0.094848633, -0.086700439, -0.07925415,
891   -0.074005127, -0.070770264, -0.068511963, -0.065643311,
892   -0.060577393, -0.054595947, -0.049407959, -0.043914795,
893   -0.039794922, -0.033813477, -0.027923584, -0.022674561,
894   -0.017791748, -0.01260376, -0.008972168, -0.0076293945,
895   -0.0053100586, -0.0030517578, -0.0024719238, -0.0032043457,
896   -0.0035705566, -0.002746582, -0.0013427734, -0.0011901855,
897   -0.0012817383, -0.0016479492, -0.0030212402, -0.0040588379,
898   -0.0071411133, -0.0085449219, -0.010375977, -0.01171875,
899   -0.011230469, -0.012512207, -0.013305664, -0.014190674,
900   -0.014099121, -0.015625, -0.01763916, -0.020202637, -0.020172119,
901   -0.017730713, -0.014068604, -0.0097351074, -0.0065917969,
902   -0.0020751953, 0.0018310547, 0.0045471191, 0.0046691895,
903   0.003326416, 0.0018615723, -0.00021362305, 0.0010986328,
904   0.0056152344, 0.011962891, 0.019866943, 0.029846191, 0.040130615,
905   0.050811768, 0.058746338, 0.068267822, 0.076721191, 0.083862305,
906   0.091491699, 0.096008301, 0.10150146, 0.1036377, 0.10562134,
907   0.10449219, 0.1026001, 0.10076904, 0.099822998, 0.098297119,
908   0.095245361, 0.094207764, 0.091949463, 0.092773438, 0.093048096,
909   0.093658447, 0.090881348, 0.084747314, 0.078186035, 0.068328857,
910   0.058197021, 0.044403076, 0.031768799, 0.019866943, 0.010345459,
911   0.0029602051, -0.0044555664, -0.011932373, -0.018920898,
912   -0.024993896, -0.029205322, -0.031768799, -0.034790039,
913   -0.036773682, -0.037841797, -0.04019165, -0.042785645, -0.045928955,
914   -0.045776367, -0.044006348, -0.040649414, -0.037902832,
915   -0.036834717, -0.035308838, -0.033569336, -0.030090332,
916   -0.025543213, -0.020263672, -0.014678955, -0.0094604492,
917   -0.0042114258, -0.00067138672, 0.0016784668, 0.0021362305,
918   0.0038452148, 0.007598877, 0.0099487305, 0.013793945, 0.015838623,
919   0.01852417, 0.019958496, 0.021087646, 0.021270752, 0.021911621,
920   0.021789551, 0.020965576, 0.01776123, 0.013275146, 0.0070495605,
921   0.00076293945, -0.004119873, -0.007232666, -0.009552002,
922   -0.012695312, -0.016052246, -0.019226074, -0.02331543, -0.028625488,
923   -0.032348633, -0.035736084, -0.038909912, -0.044372559,
924   -0.050354004, -0.056610107, -0.061309814, -0.065704346,
925   -0.065948486, -0.067230225, -0.06652832, -0.0652771, -0.061981201,
926   -0.057128906, -0.052185059, -0.046112061, -0.041595459,
927   -0.035461426, -0.031097412, -0.025970459, -0.022979736,
928   -0.019836426, -0.015899658, -0.01260376, -0.0087585449,
929   -0.0061950684, -0.0028991699, -0.0014953613, 0.0018615723,
930   0.0055847168, 0.008605957, 0.011871338, 0.015594482, 0.020629883,
931   0.025970459, 0.030212402, 0.034973145, 0.037322998, 0.037597656,
932   0.036254883, 0.034698486, 0.032440186, 0.029937744, 0.026062012,
933   0.021972656, 0.018432617, 0.013397217, 0.010528564, 0.0077514648,
934   0.0076904297, 0.0078430176, 0.0095825195, 0.012512207, 0.01550293,
935   0.017486572, 0.017150879, 0.015563965, 0.013031006, 0.010070801,
936   0.0068969727, 0.0039367676, 0.0021057129, 0.0018920898,
937   0.0032653809, 0.0064697266, 0.0092163086, 0.010437012, 0.0097961426,
938   0.0078125, 0.0053405762, 0.0048828125, 0.0055236816, 0.0086669922,
939   0.013061523, 0.019897461, 0.027252197, 0.035675049, 0.043518066,
940   0.050018311, 0.056427002, 0.06072998, 0.062011719, 0.061859131,
941   0.060546875, 0.060577393, 0.059173584, 0.056945801, 0.054138184,
942   0.053283691, 0.053131104, 0.052764893, 0.050811768, 0.04864502,
943   0.046295166, 0.044921875, 0.043182373, 0.040161133, 0.036529541,
944   0.032287598, 0.028411865, 0.022247314, 0.015960693, 0.0095825195,
945   0.0032958984, -0.0028991699, -0.01159668, -0.018249512, -0.02532959,
946   -0.03137207, -0.035919189, -0.040710449, -0.044006348, -0.049163818,
947   -0.052246094, -0.055969238, -0.056396484, -0.055511475,
948   -0.052825928, -0.049194336, -0.046844482, -0.04598999, -0.045227051,
949   -0.044586182, -0.042388916, -0.039611816, -0.037719727,
950   -0.035766602, -0.032806396, -0.030700684, -0.027313232, -0.02444458,
951   -0.020019531, -0.015533447, -0.012145996, -0.0091552734,
952   -0.0064697266, -0.0040893555, -0.00048828125, 0.001953125,
953   0.0048522949, 0.0061950684, 0.007019043, 0.0083007812, 0.0091247559,
954   0.0094909668, 0.0098876953, 0.010894775, 0.011566162, 0.0105896,
955   0.0083007812, 0.0047607422, 0.0010986328, -0.0036621094,
956   -0.0073242188, -0.010223389, -0.011505127, -0.011993408,
957   -0.012786865, -0.015350342, -0.017669678, -0.019500732,
958   -0.022613525, -0.025115967, -0.027862549, -0.027832031,
959   -0.028320312, -0.029602051, -0.030761719, -0.033111572,
960   -0.033630371, -0.032592773, -0.030914307, -0.027008057, -0.02355957,
961   -0.020507812, -0.017211914, -0.014709473, -0.0097351074,
962   -0.0033874512, 0.0032958984, 0.010284424, 0.014007568, 0.017272949,
963   0.017791748, 0.018371582, 0.018096924, 0.017272949, 0.016326904,
964   0.016021729, 0.017028809, 0.020507812, 0.025238037, 0.031280518,
965   0.036834717, 0.040283203, 0.04284668, 0.045410156, 0.048339844,
966   0.050109863, 0.04800415, 0.044311523, 0.040557861, 0.036010742,
967   0.031982422, 0.026977539, 0.022766113, 0.018829346, 0.015411377,
968   0.012359619, 0.010925293, 0.0095214844, 0.010498047, 0.012054443,
969   0.014221191, 0.016326904, 0.017150879, 0.016784668, 0.01473999,
970   0.012481689, 0.0090026855, 0.0057678223, 0.002746582,
971   -0.00024414062, -6.1035156e-05, -0.00042724609, -0.00039672852,
972   -0.0024414062, -0.0037841797, -0.0043334961, -0.0034790039,
973   -0.0015563965, 0.0011901855, 0.0047302246, 0.0079345703,
974   0.011108398, 0.013885498, 0.017150879, 0.020874023, 0.024139404,
975   0.028411865, 0.031860352, 0.036010742, 0.038330078, 0.038574219,
976   0.03805542, 0.035980225, 0.033905029, 0.03112793, 0.027496338,
977   0.024414062, 0.020690918, 0.017791748, 0.013549805, 0.0098876953,
978   0.0071105957, 0.0046081543, 0.0029296875, 0.0013122559,
979   0.0002746582, -0.0014343262, -0.0029907227, -0.0065307617,
980   -0.009979248, -0.014831543, -0.02041626, -0.027008057, -0.036132812,
981   -0.043670654, -0.049591064, -0.053894043, -0.057312012,
982   -0.059570312, -0.059051514, -0.057617188, -0.05581665, -0.054962158,
983   -0.053283691, -0.051300049, -0.049591064, -0.049407959,
984   -0.049560547, -0.0496521, -0.04788208, -0.044830322, -0.040771484,
985   -0.03616333, -0.031066895, -0.024902344, -0.019226074, -0.014312744,
986   -0.010925293, -0.0085754395, -0.0065612793, -0.0048217773,
987   -0.0020141602, -0.00039672852, 0.0014648438, 0.003326416,
988   0.0067749023, 0.009979248, 0.014068604, 0.016052246, 0.017486572,
989   0.017700195, 0.018127441, 0.018066406, 0.017608643, 0.016845703,
990   0.015838623, 0.014404297, 0.013214111, 0.011901855, 0.010650635,
991   0.0085754395, 0.0069885254, 0.0051269531, 0.0030212402,
992   0.00015258789, -0.0031738281, -0.0065307617, -0.0090637207,
993   -0.010498047, -0.011505127, -0.012023926, -0.01260376, -0.012115479,
994   -0.010406494, -0.0086975098, -0.0063781738, -0.005859375,
995   -0.0042114258, -0.0034179688, -0.0012207031, 0.00057983398,
996   0.0030822754, 0.0048828125, 0.0070800781, 0.010040283, 0.013793945,
997   0.01763916, 0.020935059, 0.024047852, 0.026245117, 0.02822876,
998   0.028381348, 0.028015137, 0.027618408, 0.027496338, 0.0284729,
999   0.029174805, 0.029815674, 0.030670166, 0.033081055, 0.035797119,
1000   0.037445068, 0.039154053, 0.039825439, 0.040283203, 0.03918457,
1001   0.036987305, 0.033874512, 0.02935791, 0.025177002, 0.020507812,
1002   0.016479492, 0.013031006, 0.010070801, 0.0077209473, 0.0056152344,
1003   0.003326416, 0.00048828125, -0.0017089844, -0.0030517578,
1004   -0.0029602051, -0.003112793, -0.0025024414, -0.0024414062,
1005   -0.0021362305, -0.0023498535, -0.0029907227, -0.0043029785,
1006   -0.0059814453, -0.0078735352, -0.01083374, -0.013397217,
1007   -0.016448975, -0.018890381, -0.020568848, -0.020080566, -0.01852417,
1008   -0.016845703, -0.014007568, -0.0105896, -0.0066833496,
1009   -0.0030517578, 0.0014953613, 0.0065002441, 0.0098571777,
1010   0.013122559, 0.014404297, 0.015472412, 0.016571045, 0.018035889,
1011   0.018585205, 0.018371582, 0.016540527, 0.014099121, 0.011413574,
1012   0.009185791, 0.0065917969, 0.0032653809, 0.00054931641,
1013   -0.0018005371, -0.0024719238, -0.0046081543, -0.0062255859,
1014   -0.0078430176, -0.009979248, -0.011627197, -0.015289307,
1015   -0.017456055, -0.019897461, -0.022918701, -0.025543213,
1016   -0.028747559, -0.031524658, -0.036865234, -0.041534424,
1017   -0.045410156, -0.046875, -0.048126221, -0.049499512, -0.049163818,
1018   -0.048828125, -0.047790527, -0.04574585, -0.043579102, -0.040924072,
1019   -0.040222168, -0.038360596, -0.036895752, -0.034210205,
1020   -0.031616211, -0.028289795, -0.024200439, -0.020294189,
1021   -0.015838623, -0.011993408, -0.007598877, -0.0036010742,
1022   0.00054931641, 0.004486084, 0.0074157715, 0.0098571777, 0.012054443,
1023   0.01473999, 0.017700195, 0.019744873, 0.022399902, 0.02432251,
1024   0.025817871, 0.027130127, 0.027709961, 0.0284729, 0.027893066,
1025   0.027496338, 0.026580811, 0.025634766, 0.023681641, 0.021972656,
1026   0.019775391, 0.017730713, 0.016052246, 0.014556885, 0.014434814,
1027   0.013763428, 0.012268066, 0.0105896, 0.0091247559, 0.0077819824,
1028   0.0054626465, 0.0030822754, 0.00067138672, -0.0012207031,
1029   -0.0028686523, -0.0048217773, -0.0047912598, -0.004486084,
1030   -0.002746582, -0.00067138672, 0.0012512207, 0.0037231445,
1031   0.0054321289, 0.0074157715, 0.010192871, 0.013214111, 0.016448975,
1032   0.018005371, 0.019134521, 0.018463135, 0.017944336, 0.016723633,
1033   0.016448975, 0.01651001, 0.01651001, 0.017669678, 0.019622803,
1034   0.022064209, 0.024017334, 0.025909424, 0.026977539, 0.027008057,
1035   0.026733398, 0.025634766, 0.024261475, 0.022247314, 0.020202637,
1036   0.017730713, 0.01663208, 0.015319824, 0.014404297, 0.013092041,
1037   0.0098266602, 0.0065307617, 0.0032653809, 0.00061035156,
1038   -0.0028076172, -0.0061340332, -0.0094909668, -0.012115479,
1039   -0.013244629, -0.014251709, -0.015075684, -0.015808105,
1040   -0.015991211, -0.016418457, -0.016601562, -0.01663208, -0.01675415,
1041   -0.017333984, -0.018615723, -0.019775391, -0.02053833, -0.020721436,
1042   -0.021820068, -0.022918701, -0.023651123, -0.023895264,
1043   -0.023590088, -0.02331543, -0.022338867, -0.020141602, -0.017669678,
1044   -0.014068604, -0.010528564, -0.0055236816, 0, 0.0051574707,
1045   0.008972168, 0.011291504, 0.012207031, 0.012420654, 0.01159668,
1046   0.0105896, 0.009185791, 0.0078735352, 0.0067749023, 0.0052490234,
1047   0.0040588379, 0.0025024414, 0.0013427734, 0.0014038086,
1048   0.0009765625, 0.00076293945, -0.00079345703, -0.0029907227,
1049   -0.0054626465, -0.0073547363, -0.0095825195, -0.011383057,
1050   -0.012237549, -0.013000488, -0.014373779, -0.016448975,
1051   -0.018341064, -0.020446777, -0.02331543, -0.025909424, -0.02835083,
1052   -0.028869629, -0.028839111, -0.028686523, -0.028106689,
1053   -0.027740479, -0.027435303, -0.027313232, -0.026672363,
1054   -0.025604248, -0.02355957, -0.020263672, -0.016204834, -0.011383057,
1055   -0.0068359375, -0.0024719238, 0.00021362305, 0.0022583008,
1056   0.0036621094, 0.0053710938, 0.0079040527, 0.010162354, 0.013214111,
1057   0.016052246, 0.019042969, 0.022064209, 0.024871826, 0.027618408,
1058   0.029205322, 0.030761719, 0.031921387, 0.032012939, 0.032562256,
1059   0.032714844, 0.032958984, 0.032318115, 0.031860352, 0.030822754,
1060   0.03024292, 0.029510498, 0.028167725, 0.027099609, 0.024810791,
1061   0.022674561, 0.019958496, 0.018218994, 0.016143799, 0.014373779,
1062   0.012145996, 0.010101318, 0.0079345703, 0.0063476562, 0.0045471191,
1063   0.003112793, 0.00085449219, -0.00088500977, -0.002532959,
1064   -0.0035095215, -0.0039672852, -0.0041503906, -0.0031433105,
1065   -0.0017700195, -3.0517578e-05, 0.0010681152, 0.0033874512,
1066   0.0053405762, 0.0074768066, 0.0082397461, 0.0075683594, 0.007019043,
1067   0.005279541, 0.004486084, 0.0035400391, 0.0035400391, 0.0047607422,
1068   0.0061645508, 0.0079345703, 0.0090332031, 0.010314941, 0.010681152,
1069   0.010467529, 0.010467529, 0.009979248, 0.009765625, 0.0090637207,
1070   0.0083007812, 0.0075683594, 0.0065917969, 0.0066223145,
1071   0.0054626465, 0.0040893555, 0.0021362305, -3.0517578e-05,
1072   -0.0024719238, -0.0052490234, -0.008026123, -0.010375977,
1073   -0.012573242, -0.01461792, -0.01651001, -0.017822266, -0.018981934,
1074   -0.019622803, -0.019592285, -0.020172119, -0.020751953,
1075   -0.021728516, -0.022186279, -0.02230835, -0.02230835, -0.022155762,
1076   -0.022583008, -0.022338867, -0.023193359, -0.023284912,
1077   -0.023406982, -0.022766113, -0.022216797, -0.022094727,
1078   -0.021484375, -0.021026611, -0.019836426, -0.018005371,
1079   -0.015533447, -0.012512207, -0.0092773438, -0.0061340332,
1080   -0.0029907227, 0.00076293945, 0.00390625, 0.0065002441,
1081   0.0084228516, 0.010070801, 0.011566162, 0.012054443, 0.012573242,
1082   0.011779785, 0.011077881, 0.010131836, 0.0088500977, 0.0075073242,
1083   0.0054321289, 0.0044555664, 0.003692627, 0.0032348633, 0.0028991699,
1084   0.0022583008, 0.0026245117, 0.0021972656, 0.001953125,
1085   0.00079345703, -0.001159668, -0.0028381348, -0.0046386719,
1086   -0.0059814453, -0.0075378418, -0.0087890625, -0.010192871,
1087   -0.01083374, -0.011993408, -0.012695312, -0.012756348, -0.012908936,
1088   -0.012695312, -0.013061523, -0.012756348, -0.012145996,
1089   -0.011352539, -0.010253906, -0.0094909668, -0.0081787109,
1090   -0.0067138672, -0.0047912598, -0.0016784668, 0.00085449219,
1091   0.0041809082, 0.0070495605, 0.0098571777, 0.013061523, 0.016052246,
1092   0.019012451, 0.020965576, 0.022613525, 0.023590088, 0.024169922,
1093   0.02432251, 0.024078369, 0.024261475, 0.023681641, 0.024291992,
1094   0.024475098, 0.025390625, 0.026306152, 0.026641846, 0.027008057,
1095   0.026672363, 0.026641846, 0.026153564, 0.025482178, 0.024108887,
1096   0.022155762, 0.020050049, 0.017578125, 0.01461792, 0.011932373,
1097   0.0090332031, 0.0069580078, 0.0048828125, 0.0032653809, 0.001953125,
1098   0.0007019043, -0.00036621094, -0.0019226074, -0.0037536621,
1099   -0.0056152344, -0.0076904297, -0.0087280273, -0.0090942383,
1100   -0.0088195801, -0.0081481934, -0.0072937012, -0.006439209,
1101   -0.005279541, -0.0043640137, -0.0034179688, -0.003112793,
1102   -0.0025024414, -0.0022888184, -0.0019226074, -0.0015869141,
1103   -0.0015869141, -0.0015258789, -0.0016784668, -0.0017700195,
1104   -0.0016784668, -0.0013427734, -0.0011291504, -0.00061035156, 0,
1105   0.00079345703, 0.0012207031, 0.0015869141, 0.0016479492,
1106   0.0015258789, 0.0012817383, 0.00094604492, 0.00045776367,
1107   -0.0002746582, -0.00088500977, -0.0016479492, -0.0024108887,
1108   -0.0036621094, -0.0050354004, -0.0063476562, -0.0079956055,
1109   -0.0096435547, -0.011535645, -0.013458252, -0.014953613,
1110   -0.016296387, -0.017364502, -0.01776123, -0.018280029, -0.018371582,
1111   -0.018035889, -0.017456055, -0.016479492, -0.015838623,
1112   -0.015167236, -0.015228271, -0.015380859, -0.015625, -0.015716553,
1113   -0.015411377, -0.015197754, -0.015106201, -0.01473999, -0.014221191,
1114   -0.013092041, -0.012054443, -0.010742188, -0.008605957,
1115   -0.006439209, -0.0038757324, -0.0016479492, 0.00079345703,
1116   0.0026550293, 0.0045471191, 0.0065612793, 0.009185791, 0.011566162,
1117   0.013427734, 0.014404297, 0.015075684, 0.015411377, 0.015319824,
1118   0.014801025, 0.013977051, 0.013305664, 0.012634277, 0.011932373,
1119   0.010864258, 0.0099182129, 0.0098571777, 0.0093994141, 0.0091247559,
1120   0.0080566406, 0.0068359375, 0.0056762695, 0.0043640137,
1121   0.0037841797, 0.0027770996, 0.0023803711, 0.0017700195,
1122   0.0010375977, 0, -0.0011901855, -0.0020446777, -0.0028991699,
1123   -0.0037841797, -0.0050964355, -0.0057983398, -0.0063476562,
1124   -0.0065917969, -0.0063781738, -0.0061950684, -0.0056152344,
1125   -0.0050354004, -0.0045471191, -0.0035705566, -0.0025939941,
1126   -0.00091552734, 0.00082397461, 0.0028076172, 0.0045471191,
1127   0.0061950684, 0.0078430176, 0.0096435547, 0.010742188, 0.011474609,
1128   0.012176514, 0.01260376, 0.013153076, 0.013458252, 0.014129639,
1129   0.014801025, 0.015228271, 0.015991211, 0.016204834, 0.01663208,
1130   0.016601562, 0.016357422, 0.015808105, 0.014770508, 0.014007568,
1131   0.012939453, 0.012268066, 0.011444092, 0.01071167, 0.010070801,
1132   0.0086975098, 0.0075683594, 0.0058288574, 0.0040588379,
1133   0.0018615723, 6.1035156e-05, -0.0015258789, -0.0029602051,
1134   -0.0040283203, -0.0055236816, -0.0065307617, -0.0078735352,
1135   -0.0090942383, -0.010131836, -0.010925293, -0.011260986,
1136   -0.011322021, -0.011199951, -0.010955811, -0.010925293, -0.0105896,
1137   -0.010375977, -0.0097351074, -0.0092163086, -0.0085754395,
1138   -0.0077819824, -0.007232666, -0.0067443848, -0.0063171387,
1139   -0.0060119629, -0.0053405762, -0.0050048828, -0.0045166016,
1140   -0.0040588379, -0.0035400391, -0.0030517578, -0.0029907227,
1141   -0.0027160645, -0.0028076172, -0.0025024414, -0.0021972656,
1142   -0.001953125, -0.0013122559, -0.00091552734, -0.00033569336,
1143   -0.00012207031, -0.00024414062, -0.00054931641, -0.0010375977,
1144   -0.0018615723, -0.0028686523, -0.0036010742, -0.0042724609,
1145   -0.0046691895, -0.0052490234, -0.0056152344, -0.0061035156,
1146   -0.0066833496, -0.0074768066, -0.0083007812, -0.0089111328,
1147   -0.0093688965, -0.0096435547, -0.0096740723, -0.0093994141,
1148   -0.0086669922, -0.0079040527, -0.0073242188, -0.007019043,
1149   -0.0067749023, -0.0067138672, -0.0064697266, -0.0060424805,
1150   -0.0054931641, -0.0048828125, -0.0044250488, -0.0039367676,
1151   -0.0031738281, -0.0024414062, -0.0014953613, -0.00039672852,
1152   0.0007019043, 0.001739502, 0.0028991699, 0.0042724609, 0.005645752,
1153   0.0072021484, 0.0087585449, 0.010192871, 0.011627197, 0.012542725,
1154   0.013244629, 0.01361084, 0.013671875, 0.013580322, 0.013122559,
1155   0.012512207, 0.012145996, 0.011993408, 0.011932373, 0.011779785,
1156   0.011352539, 0.010742188, 0.0099487305, 0.0090942383, 0.0079956055,
1157   0.0068054199, 0.0057373047, 0.0047912598, 0.004119873, 0.003326416,
1158   0.0027770996, 0.0021057129, 0.0015869141, 0.0010375977,
1159   0.00024414062, -0.00030517578, -0.00085449219, -0.0012512207,
1160   -0.0015869141, -0.002166748, -0.0025939941, -0.0032043457,
1161   -0.0038757324, -0.0043640137, -0.0044250488, -0.004486084,
1162   -0.004119873, -0.0036621094, -0.0028381348, -0.0020751953,
1163   -0.0012817383, -0.00064086914, -0.00012207031, 0.00051879883,
1164   0.0012512207, 0.002166748, 0.0032653809, 0.0042419434, 0.0049743652,
1165   0.0056152344, 0.0059509277, 0.0061645508, 0.0062866211,
1166   0.0061035156, 0.0059204102, 0.005645752, 0.005645752, 0.0054016113,
1167   0.0051879883, 0.0050354004, 0.0049133301, 0.0049133301, 0.004699707,
1168   0.0045776367, 0.0043640137, 0.0040283203, 0.0033569336,
1169   0.0025024414, 0.0013122559, 6.1035156e-05, -0.0009765625,
1170   -0.0021972656, -0.0028076172, -0.0036010742, -0.0038452148,
1171   -0.0042419434, -0.004699707, -0.0052185059, -0.0058898926,
1172   -0.0064697266, -0.0073242188, -0.0082397461, -0.0091552734,
1173   -0.0096740723, -0.0099182129, -0.0096435547, -0.0091552734,
1174   -0.0085449219, -0.0079040527, -0.0074768066, -0.0068969727,
1175   -0.0066223145, -0.0062561035, -0.005859375, -0.0055236816,
1176   -0.0049438477, -0.0045471191, -0.0039672852, -0.0035095215,
1177   -0.0030822754, -0.002746582, -0.0026245117, -0.0025939941,
1178   -0.002532959, -0.0024414062, -0.0020141602, -0.0015869141,
1179   -0.001159668, -0.00067138672, -0.0002746582, 0.00021362305,
1180   0.00033569336, 0.00045776367, 0.00051879883, 0.00064086914,
1181   0.00079345703, 0.00088500977, 0.00094604492, 0.00082397461,
1182   0.00064086914, 0.00030517578, 0.00015258789, -0.00024414062,
1183   -0.00061035156, -0.0011901855, -0.0016174316, -0.0020446777,
1184   -0.0022888184, -0.0023803711, -0.0023803711, -0.0023803711,
1185   -0.0023498535, -0.0022888184, -0.0020446777, -0.0018005371,
1186   -0.0014343262, -0.0011901855, -0.00088500977, -0.00064086914,
1187   -0.00045776367, -0.00039672852, -0.00033569336, -0.00015258789, 0,
1188   0.00030517578, 0.00054931641, 0.0010375977, 0.001373291,
1189   0.0016784668, 0.001953125, 0.0023193359, 0.0028381348, 0.0035095215,
1190   0.0043334961, 0.0049133301, 0.0056152344, 0.006072998, 0.0065917969,
1191   0.0068664551, 0.0072021484, 0.0073547363, 0.0074768066,
1192   0.0075378418, 0.0073547363, 0.0070800781, 0.0066223145,
1193   0.0062866211, 0.005859375, 0.0054321289, 0.0050048828, 0.0045776367,
1194   0.0043334961, 0.0039978027, 0.003692627, 0.0032958984, 0.0029602051,
1195   0.0024108887, 0.0019226074, 0.0014343262, 0.00088500977,
1196   0.00054931641, 0.00012207031, -0.00015258789, -0.00045776367,
1197   -0.00067138672, -0.0009765625, -0.0012512207, -0.0015869141,
1198   -0.001953125, -0.0022888184, -3.0517578e-05, -3.0517578e-05,
1199   -3.0517578e-05, -3.0517578e-05, -3.0517578e-05, -3.0517578e-05,
1200   -3.0517578e-05, -3.0517578e-05, -3.0517578e-05, -6.1035156e-05,
1201   -3.0517578e-05, -6.1035156e-05, -3.0517578e-05, -6.1035156e-05,
1202   -6.1035156e-05, -3.0517578e-05, -3.0517578e-05, -3.0517578e-05,
1203   -3.0517578e-05, -3.0517578e-05, -3.0517578e-05, -3.0517578e-05,
1204   -3.0517578e-05, -3.0517578e-05, -3.0517578e-05, -3.0517578e-05,
1205   -3.0517578e-05, -3.0517578e-05, 0,
1206   };
1207 
1208 static const unsigned tickLength = sizeof(tick) / sizeof(*tick);
1209 static const unsigned tackLength = sizeof(tack) / sizeof(*tack);
1210 
1211