-
Notifications
You must be signed in to change notification settings - Fork 8
/
rtnorm.m
2688 lines (2642 loc) · 201 KB
/
rtnorm.m
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
function [r,p] = rtnorm(a,b,mu,sigma)
% RTNORM Pseudorandom numbers from a truncated Gaussian distribution.
%
% X = RTNORM(A,B) returns a pseudorandom variable generated from a normal
% distribution with mean zero and variance one (i.e. standard normal
% distribution) truncated to the interval [A,B].
%
% X = RTNORM(A,B,MU,SIGMA) returns a pseudorandom variable generated from
% a normal distribution with mean MU and variance SIGMA truncated to the
% interval [A,B].
%
% [X,P] = RTNORM(...) also returns the vector of probabilities of X.
%
% This implements an extension of Chopin's algorithm detailed in
% N. Chopin, "Fast simulation of truncated Gaussian distributions", Stat
% Comput (2011) 21:275-288
%
% Copyright (C) 2012 Vincent Mazet (LSIIT, CNRS/Université de Strasbourg),
% Version 2012-07-04, [email protected]
% 18/06/2012:
% - first launch of rtnorm.m
% 05/07/2012:
% - fix bug concerning the computing of the pdf when (mu,sigma) is
% different from (0,1).
% - fix bug about some indexes out of bounds when computing yl for some
% values of the input arguments.
% 04/09/2012:
% - change condition in line 2628 to fix a bug.
%
% Licence: GNU General Public License Version 2
% This program is free software; you can redistribute it and/or modify it
% under the terms of the GNU General Public License as published by the
% Free Software Foundation; either version 2 of the License, or (at your
% option) any later version. This program is distributed in the hope that
% it will be useful, but WITHOUT ANY WARRANTY; without even the implied
% warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
% GNU General Public License for more details. You should have received a
% copy of the GNU General Public License along with this program; if not,
% see http://www.gnu.org/licenses/old-licenses/gpl-2.0.txt
% Check input arguments
if nargin ~= 2 && nargin ~=4,
error('Wrong number of arguments.');
end;
% Scaling
if nargin == 4,
a = (a-mu)/sigma;
b = (b-mu)/sigma;
end;
% Generate the random variables
r = rtstdnorm(a,b);
% Scaling
if nargin == 4,
r = r*sigma + mu;
end;
% Compute the probabilities
if nargout == 2,
Z = sqrt(pi/2)*sigma * (erf(b/sqrt(2))-erf(a/sqrt(2)));
Z = max(Z,1e-15); % Avoid NaN
p = exp(-(r-mu).^2/2/sigma^2) / Z;
end;
function r = rtstdnorm(a,b)
% RTNORM Pseudorandom numbers from a truncated (normalized) Gaussian
% distribution (i.e. rtnorm(a,b,0,1)).
% Left and right limits
xmin = -2.00443204036;
xmax = 3.48672170399;
% Check if a < b
if a>=b,
error('B must be greater than A.');
% Check if |a| < |b|
elseif abs(a)>abs(b),
r = -rtstdnorm(-b,-a);
% If a in the right tail (a > xmax), use rejection algorithm with
% a truncated exponential proposal
elseif a > xmax
stop = 0;
twoasq = 2*a^2;
expab = exp(-a*(b-a)) - 1;
while ~stop
z = log(1 + rand*expab);
e = -log(rand);
stop = (twoasq*e > z^2);
end;
r = a - z/a;
% If a in the left tail (a < xmin), use rejection algorithm with
% a Gaussian proposal
elseif a<xmin,
stop = 0;
while ~stop,
r = randn;
stop = (r>=a) && (r<=b);
end;
% In other cases (xmin < a < xmax), use Chopin's algorithm
else
% Tables
x = [
-2.00443204036, -1.99990455547, -1.99541747213, -1.99096998962, ...
-1.98656133124, -1.98219074335, -1.97785749442, -1.97356087419, ...
-1.96930019287, -1.96507478031, -1.96088398528, -1.95672717477, ...
-1.95260373328, -1.9485130622, -1.94445457918, -1.94042771755, ...
-1.93643192574, -1.93246666677, -1.92853141772, -1.92462566922, ...
-1.92074892503, -1.91690070156, -1.91308052741, -1.90928794302, ...
-1.90552250025, -1.90178376197, -1.89807130174, -1.89438470345, ...
-1.89072356098, -1.88708747787, -1.88347606705, -1.8798889505, ...
-1.87632575899, -1.87278613181, -1.86926971649, -1.86577616858, ...
-1.86230515137, -1.85885633567, -1.8554293996, -1.85202402837, ...
-1.84863991405, -1.84527675539, -1.84193425762, -1.83861213227, ...
-1.83531009698, -1.83202787533, -1.82876519668, -1.825521796, ...
-1.82229741372, -1.81909179558, -1.81590469249, -1.81273586036, ...
-1.80958506, -1.80645205698, -1.8033366215, -1.80023852827, ...
-1.79715755637, -1.79409348917, -1.79104611422, -1.78801522309, ...
-1.78500061134, -1.78200207837, -1.77901942732, -1.77605246501, ...
-1.77310100183, -1.77016485166, -1.76724383175, -1.7643377627, ...
-1.7614464683, -1.75856977555, -1.75570751448, -1.75285951816, ...
-1.75002562257, -1.74720566658, -1.74439949184, -1.74160694276, ...
-1.73882786639, -1.7360621124, -1.73330953303, -1.73056998298, ...
-1.72784331941, -1.72512940185, -1.72242809217, -1.71973925449, ...
-1.71706275519, -1.7143984628, -1.71174624799, -1.70910598353, ...
-1.70647754419, -1.70386080677, -1.70125565, -1.69866195455, ...
-1.69607960292, -1.69350847947, -1.69094847035, -1.68839946345, ...
-1.6858613484, -1.68333401649, -1.68081736069, -1.67831127556, ...
-1.67581565725, -1.67333040348, -1.67085541345, -1.6683905879, ...
-1.665935829, -1.66349104035, -1.66105612696, -1.65863099522, ...
-1.65621555288, -1.65380970898, -1.65141337389, -1.64902645924, ...
-1.64664887792, -1.64428054402, -1.64192137286, -1.63957128092, ...
-1.63723018585, -1.63489800643, -1.63257466256, -1.63026007522, ...
-1.62795416649, -1.62565685948, -1.62336807836, -1.62108774828, ...
-1.61881579544, -1.61655214696, -1.61429673098, -1.61204947656, ...
-1.60981031368, -1.60757917325, -1.60535598708, -1.60314068784, ...
-1.60093320909, -1.59873348523, -1.59654145149, -1.59435704393, ...
-1.59218019943, -1.59001085565, -1.58784895103, -1.58569442477, ...
-1.58354721686, -1.581407268, -1.57927451964, -1.57714891392, ...
-1.57503039371, -1.57291890258, -1.57081438477, -1.56871678519, ...
-1.56662604942, -1.56454212368, -1.56246495486, -1.56039449044, ...
-1.55833067854, -1.55627346789, -1.55422280782, -1.55217864825, ...
-1.55014093969, -1.5481096332, -1.54608468043, -1.54406603357, ...
-1.54205364536, -1.54004746908, -1.53804745854, -1.53605356807, ...
-1.53406575252, -1.53208396723, -1.53010816806, -1.52813831134, ...
-1.52617435391, -1.52421625305, -1.52226396655, -1.52031745264, ...
-1.51837667, -1.51644157777, -1.51451213554, -1.51258830332, ...
-1.51067004156, -1.50875731112, -1.5068500733, -1.50494828979, ...
-1.50305192269, -1.50116093452, -1.49927528818, -1.49739494693, ...
-1.49551987447, -1.49365003484, -1.49178539245, -1.48992591209, ...
-1.48807155892, -1.48622229844, -1.48437809651, -1.48253891934, ...
-1.48070473348, -1.47887550581, -1.47705120356, -1.47523179427, ...
-1.47341724582, -1.47160752641, -1.46980260454, -1.46800244903, ...
-1.46620702902, -1.46441631394, -1.46263027351, -1.46084887778, ...
-1.45907209704, -1.45729990192, -1.4555322633, -1.45376915236, ...
-1.45201054053, -1.45025639954, -1.44850670139, -1.44676141832, ...
-1.44502052286, -1.44328398779, -1.44155178613, -1.43982389118, ...
-1.43810027647, -1.43638091579, -1.43466578316, -1.43295485285, ...
-1.43124809936, -1.42954549744, -1.42784702206, -1.4261526484, ...
-1.42446235191, -1.42277610822, -1.42109389321, -1.41941568296, ...
-1.41774145377, -1.41607118216, -1.41440484485, -1.41274241877, ...
-1.41108388106, -1.40942920906, -1.40777838029, -1.40613137251, ...
-1.40448816364, -1.40284873181, -1.40121305532, -1.39958111269, ...
-1.3979528826, -1.39632834393, -1.39470747574, -1.39309025725, ...
-1.39147666789, -1.38986668723, -1.38826029505, -1.38665747129, ...
-1.38505819603, -1.38346244956, -1.38187021232, -1.3802814649, ...
-1.37869618807, -1.37711436276, -1.37553597004, -1.37396099116, ...
-1.37238940752, -1.37082120066, -1.36925635228, -1.36769484423, ...
-1.36613665852, -1.36458177727, -1.3630301828, -1.36148185752, ...
-1.35993678401, -1.35839494499, -1.35685632332, -1.35532090198, ...
-1.3537886641, -1.35225959295, -1.35073367192, -1.34921088453, ...
-1.34769121444, -1.34617464545, -1.34466116145, -1.34315074649, ...
-1.34164338473, -1.34013906045, -1.33863775808, -1.33713946213, ...
-1.33564415726, -1.33415182822, -1.33266245992, -1.33117603734, ...
-1.3296925456, -1.32821196994, -1.32673429568, -1.32525950829, ...
-1.32378759331, -1.32231853644, -1.32085232344, -1.31938894019, ...
-1.3179283727, -1.31647060705, -1.31501562944, -1.31356342618, ...
-1.31211398366, -1.31066728839, -1.30922332698, -1.30778208612, ...
-1.30634355261, -1.30490771336, -1.30347455533, -1.30204406564, ...
-1.30061623144, -1.29919104001, -1.29776847873, -1.29634853503, ...
-1.29493119647, -1.29351645068, -1.29210428538, -1.29069468838, ...
-1.28928764758, -1.28788315096, -1.28648118658, -1.2850817426, ...
-1.28368480725, -1.28229036885, -1.2808984158, -1.27950893658, ...
-1.27812191975, -1.27673735394, -1.27535522788, -1.27397553036, ...
-1.27259825027, -1.27122337654, -1.2698508982, -1.26848080436, ...
-1.26711308419, -1.26574772695, -1.26438472195, -1.26302405859, ...
-1.26166572634, -1.26030971474, -1.25895601339, -1.25760461198, ...
-1.25625550025, -1.25490866802, -1.25356410517, -1.25222180165, ...
-1.25088174749, -1.24954393277, -1.24820834764, -1.24687498231, ...
-1.24554382707, -1.24421487225, -1.24288810826, -1.24156352558, ...
-1.24024111474, -1.23892086632, -1.23760277098, -1.23628681945, ...
-1.23497300248, -1.23366131092, -1.23235173565, -1.23104426764, ...
-1.22973889789, -1.22843561746, -1.22713441748, -1.22583528914, ...
-1.22453822366, -1.22324321234, -1.22195024653, -1.22065931762, ...
-1.21937041707, -1.2180835364, -1.21679866716, -1.21551580096, ...
-1.21423492948, -1.21295604444, -1.21167913759, -1.21040420078, ...
-1.20913122586, -1.20786020475, -1.20659112944, -1.20532399194, ...
-1.20405878432, -1.2027954987, -1.20153412724, -1.20027466216, ...
-1.19901709572, -1.19776142023, -1.19650762804, -1.19525571156, ...
-1.19400566322, -1.19275747553, -1.19151114101, -1.19026665225, ...
-1.18902400188, -1.18778318256, -1.18654418701, -1.18530700798, ...
-1.18407163828, -1.18283807074, -1.18160629825, -1.18037631374, ...
-1.17914811017, -1.17792168055, -1.17669701793, -1.1754741154, ...
-1.17425296609, -1.17303356317, -1.17181589985, -1.17059996938, ...
-1.16938576505, -1.16817328018, -1.16696250814, -1.16575344233, ...
-1.1645460762, -1.16334040321, -1.16213641689, -1.16093411079, ...
-1.1597334785, -1.15853451364, -1.15733720988, -1.1561415609, ...
-1.15494756045, -1.1537552023, -1.15256448023, -1.1513753881, ...
-1.15018791978, -1.14900206916, -1.1478178302, -1.14663519686, ...
-1.14545416315, -1.14427472312, -1.14309687083, -1.14192060039, ...
-1.14074590595, -1.13957278166, -1.13840122174, -1.13723122041, ...
-1.13606277195, -1.13489587064, -1.13373051083, -1.13256668686, ...
-1.13140439313, -1.13024362405, -1.12908437408, -1.12792663769, ...
-1.1267704094, -1.12561568374, -1.12446245528, -1.12331071862, ...
-1.12216046839, -1.12101169923, -1.11986440583, -1.1187185829, ...
-1.11757422519, -1.11643132745, -1.11528988448, -1.11414989111, ...
-1.11301134218, -1.11187423257, -1.11073855719, -1.10960431095, ...
-1.10847148882, -1.10734008578, -1.10621009684, -1.10508151703, ...
-1.10395434141, -1.10282856507, -1.10170418311, -1.10058119068, ...
-1.09945958293, -1.09833935506, -1.09722050226, -1.09610301977, ...
-1.09498690286, -1.09387214681, -1.09275874692, -1.09164669853, ...
-1.09053599698, -1.08942663766, -1.08831861598, -1.08721192734, ...
-1.08610656721, -1.08500253104, -1.08389981434, -1.08279841262, ...
-1.08169832142, -1.0805995363, -1.07950205283, -1.07840586663, ...
-1.07731097332, -1.07621736855, -1.07512504799, -1.07403400732, ...
-1.07294424226, -1.07185574854, -1.07076852192, -1.06968255816, ...
-1.06859785307, -1.06751440246, -1.06643220217, -1.06535124805, ...
-1.06427153597, -1.06319306184, -1.06211582157, -1.06103981109, ...
-1.05996502636, -1.05889146336, -1.05781911808, -1.05674798653, ...
-1.05567806475, -1.05460934878, -1.0535418347, -1.0524755186, ...
-1.05141039657, -1.05034646476, -1.04928371929, -1.04822215635, ...
-1.04716177209, -1.04610256273, -1.04504452448, -1.04398765357, ...
-1.04293194626, -1.04187739881, -1.04082400752, -1.03977176868, ...
-1.03872067861, -1.03767073366, -1.03662193018, -1.03557426455, ...
-1.03452773314, -1.03348233237, -1.03243805866, -1.03139490845, ...
-1.03035287819, -1.02931196435, -1.02827216342, -1.02723347191, ...
-1.02619588633, -1.02515940322, -1.02412401912, -1.02308973062, ...
-1.02205653428, -1.02102442671, -1.01999340452, -1.01896346433, ...
-1.01793460279, -1.01690681657, -1.01588010232, -1.01485445675, ...
-1.01382987655, -1.01280635844, -1.01178389916, -1.01076249545, ...
-1.00974214407, -1.0087228418, -1.00770458543, -1.00668737176, ...
-1.00567119762, -1.00465605983, -1.00364195524, -1.00262888071, ...
-1.00161683312, -1.00060580935, -0.999595806306, -0.9985868209, ...
-0.997578850062, -0.996571890733, -0.995565939868, -0.994560994436, ...
-0.993557051418, -0.992554107808, -0.991552160613, -0.990551206854, ...
-0.989551243564, -0.988552267788, -0.987554276585, -0.986557267027, ...
-0.985561236196, -0.984566181188, -0.983572099113, -0.982578987091, ...
-0.981586842254, -0.980595661749, -0.979605442731, -0.978616182371, ...
-0.977627877849, -0.976640526359, -0.975654125105, -0.974668671305, ...
-0.973684162186, -0.972700594988, -0.971717966963, -0.970736275374, ...
-0.969755517495, -0.968775690612, -0.967796792022, -0.966818819033, ...
-0.965841768964, -0.964865639146, -0.963890426921, -0.962916129641, ...
-0.961942744669, -0.960970269379, -0.959998701157, -0.959028037398, ...
-0.958058275508, -0.957089412906, -0.956121447017, -0.955154375281, ...
-0.954188195145, -0.953222904069, -0.952258499521, -0.951294978982, ...
-0.95033233994, -0.949370579895, -0.948409696358, -0.947449686847, ...
-0.946490548893, -0.945532280036, -0.944574877824, -0.943618339818, ...
-0.942662663587, -0.941707846709, -0.940753886774, -0.939800781378, ...
-0.93884852813, -0.937897124647, -0.936946568555, -0.935996857491, ...
-0.9350479891, -0.934099961035, -0.933152770962, -0.932206416553, ...
-0.931260895491, -0.930316205466, -0.929372344179, -0.928429309338, ...
-0.927487098664, -0.926545709881, -0.925605140727, -0.924665388946, ...
-0.923726452292, -0.922788328527, -0.921851015421, -0.920914510754, ...
-0.919978812315, -0.919043917899, -0.918109825313, -0.917176532369, ...
-0.916244036888, -0.915312336703, -0.91438142965, -0.913451313577, ...
-0.912521986339, -0.911593445799, -0.910665689828, -0.909738716305, ...
-0.908812523118, -0.907887108163, -0.906962469342, -0.906038604567, ...
-0.905115511758, -0.90419318884, -0.90327163375, -0.902350844428, ...
-0.901430818827, -0.900511554903, -0.899593050622, -0.898675303958, ...
-0.897758312891, -0.896842075409, -0.895926589508, -0.895011853191, ...
-0.894097864469, -0.893184621359, -0.892272121887, -0.891360364086, ...
-0.890449345995, -0.889539065661, -0.888629521138, -0.887720710488, ...
-0.886812631779, -0.885905283087, -0.884998662493, -0.884092768089, ...
-0.883187597969, -0.882283150238, -0.881379423006, -0.88047641439, ...
-0.879574122514, -0.878672545509, -0.877771681512, -0.876871528668, ...
-0.875972085128, -0.875073349049, -0.874175318595, -0.873277991937, ...
-0.872381367254, -0.871485442727, -0.870590216549, -0.869695686916, ...
-0.868801852031, -0.867908710104, -0.86701625935, -0.866124497993, ...
-0.865233424261, -0.864343036389, -0.863453332618, -0.862564311196, ...
-0.861675970376, -0.860788308418, -0.859901323588, -0.859015014157, ...
-0.858129378404, -0.857244414613, -0.856360121074, -0.855476496083, ...
-0.854593537942, -0.853711244958, -0.852829615446, -0.851948647726, ...
-0.851068340122, -0.850188690965, -0.849309698594, -0.84843136135, ...
-0.847553677583, -0.846676645646, -0.845800263899, -0.844924530708, ...
-0.844049444444, -0.843175003483, -0.842301206208, -0.841428051007, ...
-0.840555536273, -0.839683660404, -0.838812421805, -0.837941818885, ...
-0.83707185006, -0.83620251375, -0.83533380838, -0.834465732382, ...
-0.833598284192, -0.832731462252, -0.831865265009, -0.830999690914, ...
-0.830134738426, -0.829270406006, -0.828406692123, -0.827543595248, ...
-0.826681113861, -0.825819246443, -0.824957991484, -0.824097347476, ...
-0.823237312917, -0.82237788631, -0.821519066163, -0.82066085099, ...
-0.819803239307, -0.818946229639, -0.818089820512, -0.817234010459, ...
-0.816378798017, -0.815524181729, -0.814670160142, -0.813816731806, ...
-0.812963895279, -0.812111649122, -0.8112599919, -0.810408922185, ...
-0.80955843855, -0.808708539576, -0.807859223848, -0.807010489955, ...
-0.806162336489, -0.805314762049, -0.804467765238, -0.803621344663, ...
-0.802775498936, -0.801930226672, -0.801085526493, -0.800241397023, ...
-0.799397836891, -0.798554844732, -0.797712419183, -0.796870558888, ...
-0.796029262492, -0.795188528648, -0.79434835601, -0.793508743238, ...
-0.792669688996, -0.791831191953, -0.790993250781, -0.790155864155, ...
-0.789319030758, -0.788482749274, -0.787647018393, -0.786811836806, ...
-0.785977203212, -0.785143116312, -0.784309574812, -0.783476577421, ...
-0.782644122852, -0.781812209823, -0.780980837056, -0.780150003277, ...
-0.779319707213, -0.7784899476, -0.777660723175, -0.776832032678, ...
-0.776003874855, -0.775176248455, -0.774349152231, -0.773522584939, ...
-0.772696545341, -0.7718710322, -0.771046044284, -0.770221580367, ...
-0.769397639223, -0.768574219631, -0.767751320376, -0.766928940243, ...
-0.766107078024, -0.765285732513, -0.764464902507, -0.763644586809, ...
-0.762824784223, -0.762005493558, -0.761186713627, -0.760368443246, ...
-0.759550681234, -0.758733426414, -0.757916677614, -0.757100433662, ...
-0.756284693394, -0.755469455646, -0.754654719259, -0.753840483077, ...
-0.753026745948, -0.752213506722, -0.751400764255, -0.750588517404, ...
-0.74977676503, -0.748965505998, -0.748154739176, -0.747344463435, ...
-0.746534677651, -0.7457253807, -0.744916571465, -0.74410824883, ...
-0.743300411682, -0.742493058914, -0.741686189419, -0.740879802096, ...
-0.740073895844, -0.739268469569, -0.738463522177, -0.737659052579, ...
-0.736855059689, -0.736051542423, -0.735248499702, -0.734445930447, ...
-0.733643833587, -0.73284220805, -0.732041052768, -0.731240366677, ...
-0.730440148716, -0.729640397826, -0.728841112951, -0.728042293041, ...
-0.727243937044, -0.726446043916, -0.725648612612, -0.724851642093, ...
-0.724055131321, -0.723259079262, -0.722463484884, -0.721668347159, ...
-0.720873665062, -0.720079437569, -0.719285663661, -0.718492342322, ...
-0.717699472536, -0.716907053294, -0.716115083586, -0.715323562408, ...
-0.714532488756, -0.713741861631, -0.712951680037, -0.712161942978, ...
-0.711372649463, -0.710583798504, -0.709795389115, -0.709007420313, ...
-0.708219891118, -0.707432800551, -0.706646147638, -0.705859931406, ...
-0.705074150887, -0.704288805113, -0.70350389312, -0.702719413947, ...
-0.701935366634, -0.701151750226, -0.700368563769, -0.699585806312, ...
-0.698803476906, -0.698021574607, -0.69724009847, -0.696459047555, ...
-0.695678420925, -0.694898217643, -0.694118436777, -0.693339077397, ...
-0.692560138575, -0.691781619384, -0.691003518904, -0.690225836212, ...
-0.689448570392, -0.688671720529, -0.687895285708, -0.687119265021, ...
-0.686343657558, -0.685568462415, -0.684793678689, -0.684019305478, ...
-0.683245341885, -0.682471787013, -0.68169863997, -0.680925899864, ...
-0.680153565806, -0.679381636911, -0.678610112294, -0.677838991074, ...
-0.677068272372, -0.67629795531, -0.675528039013, -0.674758522611, ...
-0.673989405232, -0.67322068601, -0.672452364078, -0.671684438573, ...
-0.670916908635, -0.670149773405, -0.669383032026, -0.668616683646, ...
-0.66785072741, -0.667085162471, -0.666319987981, -0.665555203094, ...
-0.664790806967, -0.66402679876, -0.663263177633, -0.662499942752, ...
-0.66173709328, -0.660974628386, -0.66021254724, -0.659450849015, ...
-0.658689532883, -0.657928598023, -0.657168043612, -0.656407868831, ...
-0.655648072862, -0.654888654892, -0.654129614105, -0.653370949693, ...
-0.652612660844, -0.651854746754, -0.651097206616, -0.650340039629, ...
-0.64958324499, -0.648826821903, -0.648070769569, -0.647315087195, ...
-0.646559773988, -0.645804829157, -0.645050251913, -0.64429604147, ...
-0.643542197043, -0.642788717849, -0.642035603108, -0.641282852041, ...
-0.640530463871, -0.639778437823, -0.639026773124, -0.638275469004, ...
-0.637524524692, -0.636773939423, -0.636023712429, -0.63527384295, ...
-0.634524330221, -0.633775173485, -0.633026371984, -0.632277924961, ...
-0.631529831662, -0.630782091336, -0.630034703232, -0.629287666601, ...
-0.628540980698, -0.627794644778, -0.627048658096, -0.626303019913, ...
-0.625557729489, -0.624812786087, -0.62406818897, -0.623323937406, ...
-0.622580030661, -0.621836468005, -0.621093248711, -0.62035037205, ...
-0.619607837299, -0.618865643733, -0.618123790632, -0.617382277275, ...
-0.616641102944, -0.615900266923, -0.615159768498, -0.614419606955, ...
-0.613679781584, -0.612940291674, -0.612201136518, -0.61146231541, ...
-0.610723827646, -0.609985672522, -0.609247849338, -0.608510357395, ...
-0.607773195994, -0.607036364439, -0.606299862036, -0.605563688093, ...
-0.604827841918, -0.604092322821, -0.603357130115, -0.602622263113, ...
-0.601887721131, -0.601153503486, -0.600419609496, -0.599686038481, ...
-0.598952789763, -0.598219862666, -0.597487256514, -0.596754970634, ...
-0.596023004354, -0.595291357003, -0.594560027913, -0.593829016416, ...
-0.593098321847, -0.592367943541, -0.591637880836, -0.590908133071, ...
-0.590178699585, -0.589449579722, -0.588720772824, -0.587992278236, ...
-0.587264095305, -0.586536223378, -0.585808661806, -0.585081409939, ...
-0.584354467129, -0.58362783273, -0.582901506099, -0.58217548659, ...
-0.581449773564, -0.580724366379, -0.579999264397, -0.57927446698, ...
-0.578549973492, -0.5778257833, -0.577101895769, -0.576378310269, ...
-0.575655026169, -0.57493204284, -0.574209359655, -0.573486975988, ...
-0.572764891214, -0.57204310471, -0.571321615855, -0.570600424028, ...
-0.56987952861, -0.569158928984, -0.568438624533, -0.567718614641, ...
-0.566998898697, -0.566279476088, -0.565560346202, -0.56484150843, ...
-0.564122962165, -0.563404706799, -0.562686741727, -0.561969066345, ...
-0.56125168005, -0.560534582241, -0.559817772317, -0.559101249681, ...
-0.558385013733, -0.557669063878, -0.556953399521, -0.556238020069, ...
-0.555522924929, -0.55480811351, -0.554093585223, -0.553379339478, ...
-0.552665375689, -0.551951693269, -0.551238291635, -0.550525170202, ...
-0.549812328389, -0.549099765614, -0.548387481299, -0.547675474863, ...
-0.546963745731, -0.546252293327, -0.545541117075, -0.544830216402, ...
-0.544119590737, -0.543409239507, -0.542699162143, -0.541989358077, ...
-0.541279826741, -0.540570567568, -0.539861579995, -0.539152863456, ...
-0.53844441739, -0.537736241235, -0.537028334431, -0.536320696418, ...
-0.535613326639, -0.534906224537, -0.534199389557, -0.533492821143, ...
-0.532786518743, -0.532080481805, -0.531374709778, -0.530669202111, ...
-0.529963958257, -0.529258977668, -0.528554259797, -0.5278498041, ...
-0.527145610031, -0.526441677048, -0.52573800461, -0.525034592175, ...
-0.524331439204, -0.523628545158, -0.5229259095, -0.522223531693, ...
-0.521521411203, -0.520819547494, -0.520117940035, -0.519416588293, ...
-0.518715491738, -0.518014649839, -0.517314062067, -0.516613727896, ...
-0.515913646798, -0.515213818248, -0.514514241722, -0.513814916696, ...
-0.513115842648, -0.512417019057, -0.511718445402, -0.511020121164, ...
-0.510322045826, -0.509624218869, -0.508926639778, -0.508229308038, ...
-0.507532223135, -0.506835384556, -0.506138791788, -0.505442444322, ...
-0.504746341647, -0.504050483254, -0.503354868635, -0.502659497283, ...
-0.501964368692, -0.501269482359, -0.500574837777, -0.499880434446, ...
-0.499186271862, -0.498492349525, -0.497798666935, -0.497105223592, ...
-0.496412018999, -0.49571905266, -0.495026324076, -0.494333832755, ...
-0.493641578201, -0.492949559921, -0.492257777423, -0.491566230217, ...
-0.49087491781, -0.490183839715, -0.489492995442, -0.488802384505, ...
-0.488112006416, -0.487421860691, -0.486731946843, -0.48604226439, ...
-0.48535281285, -0.484663591739, -0.483974600576, -0.483285838883, ...
-0.48259730618, -0.481909001988, -0.48122092583, -0.480533077229, ...
-0.479845455711, -0.479158060801, -0.478470892024, -0.477783948909, ...
-0.477097230982, -0.476410737773, -0.475724468813, -0.47503842363, ...
-0.474352601759, -0.473667002729, -0.472981626076, -0.472296471333, ...
-0.471611538035, -0.470926825718, -0.470242333919, -0.469558062177, ...
-0.468874010028, -0.468190177013, -0.467506562672, -0.466823166546, ...
-0.466139988176, -0.465457027107, -0.46477428288, -0.464091755042, ...
-0.463409443136, -0.46272734671, -0.46204546531, -0.461363798483, ...
-0.460682345779, -0.460001106748, -0.459320080938, -0.458639267901, ...
-0.45795866719, -0.457278278357, -0.456598100954, -0.455918134538, ...
-0.455238378662, -0.454558832883, -0.453879496757, -0.453200369842, ...
-0.452521451697, -0.45184274188, -0.45116423995, -0.45048594547, ...
-0.449807858, -0.449129977103, -0.448452302341, -0.447774833279, ...
-0.44709756948, -0.446420510511, -0.445743655937, -0.445067005325, ...
-0.444390558244, -0.44371431426, -0.443038272944, -0.442362433866, ...
-0.441686796595, -0.441011360704, -0.440336125765, -0.43966109135, ...
-0.438986257034, -0.43831162239, -0.437637186994, -0.436962950421, ...
-0.436288912249, -0.435615072055, -0.434941429417, -0.434267983913, ...
-0.433594735123, -0.432921682628, -0.432248826008, -0.431576164846, ...
-0.430903698722, -0.430231427222, -0.429559349928, -0.428887466426, ...
-0.4282157763, -0.427544279136, -0.426872974521, -0.426201862043, ...
-0.42553094129, -0.42486021185, -0.424189673313, -0.423519325269, ...
-0.422849167309, -0.422179199024, -0.421509420007, -0.420839829851, ...
-0.420170428149, -0.419501214496, -0.418832188486, -0.418163349716, ...
-0.417494697781, -0.416826232279, -0.416157952806, -0.415489858963, ...
-0.414821950346, -0.414154226557, -0.413486687196, -0.412819331863, ...
-0.41215216016, -0.41148517169, -0.410818366055, -0.410151742859, ...
-0.409485301706, -0.408819042201, -0.40815296395, -0.407487066559, ...
-0.406821349634, -0.406155812784, -0.405490455615, -0.404825277738, ...
-0.404160278761, -0.403495458294, -0.402830815949, -0.402166351335, ...
-0.401502064066, -0.400837953753, -0.40017402001, -0.399510262451, ...
-0.398846680689, -0.39818327434, -0.397520043019, -0.396856986343, ...
-0.396194103929, -0.395531395393, -0.394868860354, -0.394206498431, ...
-0.393544309243, -0.392882292409, -0.392220447549, -0.391558774287, ...
-0.390897272241, -0.390235941036, -0.389574780293, -0.388913789636, ...
-0.38825296869, -0.387592317078, -0.386931834425, -0.386271520359, ...
-0.385611374504, -0.384951396488, -0.384291585938, -0.383631942482, ...
-0.382972465749, -0.382313155368, -0.381654010969, -0.380995032182, ...
-0.380336218639, -0.379677569969, -0.379019085806, -0.378360765783, ...
-0.377702609531, -0.377044616686, -0.37638678688, -0.37572911975, ...
-0.37507161493, -0.374414272056, -0.373757090765, -0.373100070693, ...
-0.372443211479, -0.37178651276, -0.371129974175, -0.370473595364, ...
-0.369817375965, -0.369161315619, -0.368505413967, -0.36784967065, ...
-0.367194085311, -0.36653865759, -0.365883387132, -0.36522827358, ...
-0.364573316578, -0.36391851577, -0.363263870801, -0.362609381316, ...
-0.361955046963, -0.361300867386, -0.360646842235, -0.359992971155, ...
-0.359339253795, -0.358685689804, -0.358032278831, -0.357379020525, ...
-0.356725914537, -0.356072960516, -0.355420158116, -0.354767506986, ...
-0.354115006779, -0.353462657149, -0.352810457747, -0.352158408227, ...
-0.351506508245, -0.350854757453, -0.350203155508, -0.349551702065, ...
-0.34890039678, -0.348249239309, -0.34759822931, -0.346947366441, ...
-0.346296650358, -0.345646080722, -0.344995657189, -0.344345379421, ...
-0.343695247078, -0.343045259818, -0.342395417304, -0.341745719196, ...
-0.341096165157, -0.340446754849, -0.339797487934, -0.339148364076, ...
-0.338499382938, -0.337850544184, -0.33720184748, -0.33655329249, ...
-0.335904878879, -0.335256606314, -0.334608474462, -0.333960482988, ...
-0.33331263156, -0.332664919846, -0.332017347514, -0.331369914234, ...
-0.330722619673, -0.330075463502, -0.329428445391, -0.328781565009, ...
-0.328134822029, -0.32748821612, -0.326841746956, -0.326195414208, ...
-0.325549217549, -0.324903156652, -0.32425723119, -0.323611440838, ...
-0.322965785269, -0.322320264159, -0.321674877183, -0.321029624016, ...
-0.320384504335, -0.319739517815, -0.319094664135, -0.318449942971, ...
-0.317805354, -0.317160896902, -0.316516571355, -0.315872377037, ...
-0.315228313629, -0.314584380809, -0.313940578259, -0.313296905659, ...
-0.312653362689, -0.312009949032, -0.311366664369, -0.310723508383, ...
-0.310080480756, -0.309437581171, -0.308794809313, -0.308152164863, ...
-0.307509647508, -0.306867256932, -0.306224992819, -0.305582854855, ...
-0.304940842726, -0.304298956119, -0.303657194719, -0.303015558215, ...
-0.302374046293, -0.301732658641, -0.301091394947, -0.3004502549, ...
-0.29980923819, -0.299168344504, -0.298527573533, -0.297886924968, ...
-0.297246398498, -0.296605993814, -0.295965710609, -0.295325548572, ...
-0.294685507396, -0.294045586775, -0.293405786399, -0.292766105963, ...
-0.292126545159, -0.291487103683, -0.290847781227, -0.290208577487, ...
-0.289569492157, -0.288930524932, -0.288291675509, -0.287652943584, ...
-0.287014328852, -0.28637583101, -0.285737449756, -0.285099184787, ...
-0.2844610358, -0.283823002495, -0.283185084568, -0.28254728172, ...
-0.28190959365, -0.281272020056, -0.280634560639, -0.279997215099, ...
-0.279359983137, -0.278722864454, -0.278085858751, -0.277448965729, ...
-0.27681218509, -0.276175516537, -0.275538959773, -0.2749025145, ...
-0.274266180422, -0.273629957242, -0.272993844665, -0.272357842394, ...
-0.271721950134, -0.271086167591, -0.270450494469, -0.269814930474, ...
-0.269179475313, -0.268544128691, -0.267908890315, -0.267273759892, ...
-0.26663873713, -0.266003821735, -0.265369013416, -0.264734311881, ...
-0.264099716838, -0.263465227997, -0.262830845067, -0.262196567757, ...
-0.261562395776, -0.260928328836, -0.260294366646, -0.259660508917, ...
-0.25902675536, -0.258393105687, -0.25775955961, -0.25712611684, ...
-0.256492777089, -0.25585954007, -0.255226405497, -0.254593373082, ...
-0.253960442538, -0.253327613581, -0.252694885923, -0.252062259279, ...
-0.251429733364, -0.250797307892, -0.25016498258, -0.249532757143, ...
-0.248900631296, -0.248268604756, -0.24763667724, -0.247004848463, ...
-0.246373118143, -0.245741485998, -0.245109951745, -0.244478515102, ...
-0.243847175788, -0.24321593352, -0.242584788017, -0.241953738999, ...
-0.241322786185, -0.240691929294, -0.240061168047, -0.239430502163, ...
-0.238799931363, -0.238169455368, -0.237539073899, -0.236908786677, ...
-0.236278593424, -0.235648493861, -0.235018487711, -0.234388574696, ...
-0.233758754538, -0.233129026961, -0.232499391688, -0.231869848442, ...
-0.231240396947, -0.230611036927, -0.229981768106, -0.229352590209, ...
-0.22872350296, -0.228094506085, -0.227465599309, -0.226836782357, ...
-0.226208054955, -0.22557941683, -0.224950867708, -0.224322407315, ...
-0.223694035378, -0.223065751624, -0.222437555781, -0.221809447576, ...
-0.221181426737, -0.220553492993, -0.219925646071, -0.219297885701, ...
-0.21867021161, -0.218042623529, -0.217415121186, -0.216787704312, ...
-0.216160372636, -0.215533125887, -0.214905963798, -0.214278886097, ...
-0.213651892517, -0.213024982787, -0.212398156639, -0.211771413806, ...
-0.211144754018, -0.210518177008, -0.209891682507, -0.209265270249, ...
-0.208638939966, -0.208012691392, -0.207386524258, -0.206760438299, ...
-0.206134433249, -0.20550850884, -0.204882664808, -0.204256900887, ...
-0.203631216811, -0.203005612315, -0.202380087133, -0.201754641003, ...
-0.201129273658, -0.200503984834, -0.199878774268, -0.199253641695, ...
-0.198628586852, -0.198003609476, -0.197378709302, -0.196753886069, ...
-0.196129139514, -0.195504469373, -0.194879875385, -0.194255357287, ...
-0.193630914818, -0.193006547715, -0.192382255718, -0.191758038565, ...
-0.191133895995, -0.190509827747, -0.189885833561, -0.189261913176, ...
-0.188638066331, -0.188014292767, -0.187390592225, -0.186766964443, ...
-0.186143409164, -0.185519926127, -0.184896515074, -0.184273175746, ...
-0.183649907884, -0.18302671123, -0.182403585526, -0.181780530513, ...
-0.181157545935, -0.180534631532, -0.179911787049, -0.179289012227, ...
-0.17866630681, -0.178043670541, -0.177421103162, -0.176798604419, ...
-0.176176174053, -0.175553811811, -0.174931517434, -0.174309290669, ...
-0.173687131258, -0.173065038948, -0.172443013482, -0.171821054607, ...
-0.171199162066, -0.170577335606, -0.169955574973, -0.169333879911, ...
-0.168712250167, -0.168090685487, -0.167469185618, -0.166847750305, ...
-0.166226379296, -0.165605072338, -0.164983829177, -0.164362649561, ...
-0.163741533237, -0.163120479952, -0.162499489456, -0.161878561494, ...
-0.161257695816, -0.16063689217, -0.160016150304, -0.159395469966, ...
-0.158774850907, -0.158154292873, -0.157533795616, -0.156913358883, ...
-0.156292982424, -0.15567266599, -0.155052409329, -0.154432212191, ...
-0.153812074328, -0.153191995488, -0.152571975423, -0.151952013883, ...
-0.151332110619, -0.150712265381, -0.150092477921, -0.14947274799, ...
-0.148853075339, -0.148233459721, -0.147613900885, -0.146994398586, ...
-0.146374952573, -0.1457555626, -0.14513622842, -0.144516949783, ...
-0.143897726444, -0.143278558154, -0.142659444667, -0.142040385735, ...
-0.141421381113, -0.140802430553, -0.140183533808, -0.139564690633, ...
-0.138945900782, -0.138327164007, -0.137708480064, -0.137089848707, ...
-0.136471269689, -0.135852742766, -0.135234267692, -0.134615844222, ...
-0.13399747211, -0.133379151113, -0.132760880985, -0.132142661481, ...
-0.131524492358, -0.13090637337, -0.130288304273, -0.129670284824, ...
-0.129052314778, -0.128434393892, -0.127816521921, -0.127198698623, ...
-0.126580923754, -0.12596319707, -0.125345518329, -0.124727887287, ...
-0.124110303701, -0.12349276733, -0.122875277929, -0.122257835256, ...
-0.12164043907, -0.121023089128, -0.120405785187, -0.119788527006, ...
-0.119171314342, -0.118554146955, -0.117937024601, -0.117319947041, ...
-0.116702914032, -0.116085925333, -0.115468980703, -0.1148520799, ...
-0.114235222685, -0.113618408815, -0.113001638051, -0.112384910152, ...
-0.111768224876, -0.111151581985, -0.110534981238, -0.109918422394, ...
-0.109301905213, -0.108685429456, -0.108068994883, -0.107452601254, ...
-0.10683624833, -0.10621993587, -0.105603663637, -0.104987431389, ...
-0.10437123889, -0.103755085898, -0.103138972176, -0.102522897484, ...
-0.101906861584, -0.101290864237, -0.100674905205, -0.100058984249, ...
-0.0994431011311, -0.0988272556129, -0.0982114474563, -0.0975956764232, ...
-0.0969799422759, -0.0963642447764, -0.0957485836871, -0.0951329587704, ...
-0.0945173697886, -0.0939018165045, -0.0932862986806, -0.0926708160798, ...
-0.0920553684649, -0.0914399555988, -0.0908245772446, -0.0902092331655, ...
-0.0895939231246, -0.0889786468852, -0.0883634042109, -0.0877481948651, ...
-0.0871330186113, -0.0865178752133, -0.0859027644347, -0.0852876860396, ...
-0.0846726397917, -0.0840576254552, -0.0834426427941, -0.0828276915726, ...
-0.0822127715549, -0.0815978825056, -0.0809830241889, -0.0803681963694, ...
-0.0797533988117, -0.0791386312806, -0.0785238935406, -0.0779091853568, ...
-0.077294506494, -0.0766798567172, -0.0760652357914, -0.0754506434819, ...
-0.0748360795539, -0.0742215437727, -0.0736070359035, -0.072992555712, ...
-0.0723781029636, -0.0717636774239, -0.0711492788586, -0.0705349070334, ...
-0.0699205617141, -0.0693062426667, -0.068691949657, -0.0680776824512, ...
-0.0674634408152, -0.0668492245152, -0.0662350333175, -0.0656208669883, ...
-0.065006725294, -0.0643926080011, -0.0637785148759, -0.0631644456851, ...
-0.0625504001953, -0.0619363781731, -0.0613223793853, -0.0607084035987, ...
-0.0600944505801, -0.0594805200964, -0.0588666119147, -0.058252725802, ...
-0.0576388615253, -0.0570250188518, -0.0564111975488, -0.0557973973834, ...
-0.0551836181231, -0.0545698595352, -0.0539561213871, -0.0533424034463, ...
-0.0527287054803, -0.0521150272568, -0.0515013685434, -0.0508877291078, ...
-0.0502741087177, -0.0496605071409, -0.0490469241453, -0.0484333594987, ...
-0.0478198129692, -0.0472062843246, -0.0465927733331, -0.0459792797628, ...
-0.0453658033816, -0.0447523439579, -0.0441389012599, -0.0435254750557, ...
-0.0429120651138, -0.0422986712024, -0.04168529309, -0.041071930545, ...
-0.0404585833359, -0.0398452512311, -0.0392319339993, -0.0386186314091, ...
-0.0380053432289, -0.0373920692277, -0.0367788091739, -0.0361655628365, ...
-0.0355523299841, -0.0349391103856, -0.0343259038099, -0.0337127100257, ...
-0.0330995288021, -0.032486359908, -0.0318732031123, -0.0312600581842, ...
-0.0306469248925, -0.0300338030065, -0.0294206922952, -0.0288075925277, ...
-0.0281945034733, -0.0275814249011, -0.0269683565803, -0.0263552982801, ...
-0.0257422497699, -0.025129210819, -0.0245161811967, -0.0239031606722, ...
-0.0232901490151, -0.0226771459946, -0.0220641513803, -0.0214511649415, ...
-0.0208381864477, -0.0202252156684, -0.019612252373, -0.0189992963312, ...
-0.0183863473125, -0.0177734050864, -0.0171604694224, -0.0165475400903, ...
-0.0159346168595, -0.0153216994998, -0.0147087877807, -0.0140958814719, ...
-0.0134829803432, -0.0128700841641, -0.0122571927044, -0.0116443057337, ...
-0.0110314230219, -0.0104185443386, -0.00980566945358, -0.00919279813659, ...
-0.00857993015739, -0.00796706528575, -0.00735420329145, -0.00674134394428, ...
-0.00612848701402, -0.00551563227049, -0.00490277948347, -0.00428992842278, ...
-0.00367707885824, -0.00306423055966, -0.00245138329686, -0.00183853683967, ...
-0.00122569095791, -0.000612845421414, 0.0, 0.000612845421414, ...
0.00122569095791, 0.00183853683967, 0.00245138329686, 0.00306423055966, ...
0.00367707885824, 0.00428992842278, 0.00490277948347, 0.00551563227049, ...
0.00612848701402, 0.00674134394428, 0.00735420329145, 0.00796706528575, ...
0.00857993015739, 0.00919279813659, 0.00980566945358, 0.0104185443386, ...
0.0110314230219, 0.0116443057337, 0.0122571927044, 0.0128700841641, ...
0.0134829803432, 0.0140958814719, 0.0147087877807, 0.0153216994998, ...
0.0159346168595, 0.0165475400903, 0.0171604694224, 0.0177734050864, ...
0.0183863473125, 0.0189992963312, 0.019612252373, 0.0202252156684, ...
0.0208381864477, 0.0214511649415, 0.0220641513803, 0.0226771459946, ...
0.0232901490151, 0.0239031606722, 0.0245161811967, 0.025129210819, ...
0.0257422497699, 0.0263552982801, 0.0269683565803, 0.0275814249011, ...
0.0281945034733, 0.0288075925277, 0.0294206922952, 0.0300338030065, ...
0.0306469248925, 0.0312600581842, 0.0318732031123, 0.032486359908, ...
0.0330995288021, 0.0337127100257, 0.0343259038099, 0.0349391103856, ...
0.0355523299841, 0.0361655628365, 0.0367788091739, 0.0373920692277, ...
0.0380053432289, 0.0386186314091, 0.0392319339993, 0.0398452512311, ...
0.0404585833359, 0.041071930545, 0.04168529309, 0.0422986712024, ...
0.0429120651138, 0.0435254750557, 0.0441389012599, 0.0447523439579, ...
0.0453658033816, 0.0459792797628, 0.0465927733331, 0.0472062843246, ...
0.0478198129692, 0.0484333594987, 0.0490469241453, 0.0496605071409, ...
0.0502741087177, 0.0508877291078, 0.0515013685434, 0.0521150272568, ...
0.0527287054803, 0.0533424034463, 0.0539561213871, 0.0545698595352, ...
0.0551836181231, 0.0557973973834, 0.0564111975488, 0.0570250188518, ...
0.0576388615253, 0.058252725802, 0.0588666119147, 0.0594805200964, ...
0.0600944505801, 0.0607084035987, 0.0613223793853, 0.0619363781731, ...
0.0625504001953, 0.0631644456851, 0.0637785148759, 0.0643926080011, ...
0.065006725294, 0.0656208669883, 0.0662350333175, 0.0668492245152, ...
0.0674634408152, 0.0680776824512, 0.068691949657, 0.0693062426667, ...
0.0699205617141, 0.0705349070334, 0.0711492788586, 0.0717636774239, ...
0.0723781029636, 0.072992555712, 0.0736070359035, 0.0742215437727, ...
0.0748360795539, 0.0754506434819, 0.0760652357914, 0.0766798567172, ...
0.077294506494, 0.0779091853568, 0.0785238935406, 0.0791386312806, ...
0.0797533988117, 0.0803681963694, 0.0809830241889, 0.0815978825056, ...
0.0822127715549, 0.0828276915726, 0.0834426427941, 0.0840576254552, ...
0.0846726397917, 0.0852876860396, 0.0859027644347, 0.0865178752133, ...
0.0871330186113, 0.0877481948651, 0.0883634042109, 0.0889786468852, ...
0.0895939231246, 0.0902092331655, 0.0908245772446, 0.0914399555988, ...
0.0920553684649, 0.0926708160798, 0.0932862986806, 0.0939018165045, ...
0.0945173697886, 0.0951329587704, 0.0957485836871, 0.0963642447764, ...
0.0969799422759, 0.0975956764232, 0.0982114474563, 0.0988272556129, ...
0.0994431011311, 0.100058984249, 0.100674905205, 0.101290864237, ...
0.101906861584, 0.102522897484, 0.103138972176, 0.103755085898, ...
0.10437123889, 0.104987431389, 0.105603663637, 0.10621993587, ...
0.10683624833, 0.107452601254, 0.108068994883, 0.108685429456, ...
0.109301905213, 0.109918422394, 0.110534981238, 0.111151581985, ...
0.111768224876, 0.112384910152, 0.113001638051, 0.113618408815, ...
0.114235222685, 0.1148520799, 0.115468980703, 0.116085925333, ...
0.116702914032, 0.117319947041, 0.117937024601, 0.118554146955, ...
0.119171314342, 0.119788527006, 0.120405785187, 0.121023089128, ...
0.12164043907, 0.122257835256, 0.122875277929, 0.12349276733, ...
0.124110303701, 0.124727887287, 0.125345518329, 0.12596319707, ...
0.126580923754, 0.127198698623, 0.127816521921, 0.128434393892, ...
0.129052314778, 0.129670284824, 0.130288304273, 0.13090637337, ...
0.131524492358, 0.132142661481, 0.132760880985, 0.133379151113, ...
0.13399747211, 0.134615844222, 0.135234267692, 0.135852742766, ...
0.136471269689, 0.137089848707, 0.137708480064, 0.138327164007, ...
0.138945900782, 0.139564690633, 0.140183533808, 0.140802430553, ...
0.141421381113, 0.142040385735, 0.142659444667, 0.143278558154, ...
0.143897726444, 0.144516949783, 0.14513622842, 0.1457555626, ...
0.146374952573, 0.146994398586, 0.147613900885, 0.148233459721, ...
0.148853075339, 0.14947274799, 0.150092477921, 0.150712265381, ...
0.151332110619, 0.151952013883, 0.152571975423, 0.153191995488, ...
0.153812074328, 0.154432212191, 0.155052409329, 0.15567266599, ...
0.156292982424, 0.156913358883, 0.157533795616, 0.158154292873, ...
0.158774850907, 0.159395469966, 0.160016150304, 0.16063689217, ...
0.161257695816, 0.161878561494, 0.162499489456, 0.163120479952, ...
0.163741533237, 0.164362649561, 0.164983829177, 0.165605072338, ...
0.166226379296, 0.166847750305, 0.167469185618, 0.168090685487, ...
0.168712250167, 0.169333879911, 0.169955574973, 0.170577335606, ...
0.171199162066, 0.171821054607, 0.172443013482, 0.173065038948, ...
0.173687131258, 0.174309290669, 0.174931517434, 0.175553811811, ...
0.176176174053, 0.176798604419, 0.177421103162, 0.178043670541, ...
0.17866630681, 0.179289012227, 0.179911787049, 0.180534631532, ...
0.181157545935, 0.181780530513, 0.182403585526, 0.18302671123, ...
0.183649907884, 0.184273175746, 0.184896515074, 0.185519926127, ...
0.186143409164, 0.186766964443, 0.187390592225, 0.188014292767, ...
0.188638066331, 0.189261913176, 0.189885833561, 0.190509827747, ...
0.191133895995, 0.191758038565, 0.192382255718, 0.193006547715, ...
0.193630914818, 0.194255357287, 0.194879875385, 0.195504469373, ...
0.196129139514, 0.196753886069, 0.197378709302, 0.198003609476, ...
0.198628586852, 0.199253641695, 0.199878774268, 0.200503984834, ...
0.201129273658, 0.201754641003, 0.202380087133, 0.203005612315, ...
0.203631216811, 0.204256900887, 0.204882664808, 0.20550850884, ...
0.206134433249, 0.206760438299, 0.207386524258, 0.208012691392, ...
0.208638939966, 0.209265270249, 0.209891682507, 0.210518177008, ...
0.211144754018, 0.211771413806, 0.212398156639, 0.213024982787, ...
0.213651892517, 0.214278886097, 0.214905963798, 0.215533125887, ...
0.216160372636, 0.216787704312, 0.217415121186, 0.218042623529, ...
0.21867021161, 0.219297885701, 0.219925646071, 0.220553492993, ...
0.221181426737, 0.221809447576, 0.222437555781, 0.223065751624, ...
0.223694035378, 0.224322407315, 0.224950867708, 0.22557941683, ...
0.226208054955, 0.226836782357, 0.227465599309, 0.228094506085, ...
0.22872350296, 0.229352590209, 0.229981768106, 0.230611036927, ...
0.231240396947, 0.231869848442, 0.232499391688, 0.233129026961, ...
0.233758754538, 0.234388574696, 0.235018487711, 0.235648493861, ...
0.236278593424, 0.236908786677, 0.237539073899, 0.238169455368, ...
0.238799931363, 0.239430502163, 0.240061168047, 0.240691929294, ...
0.241322786185, 0.241953738999, 0.242584788017, 0.24321593352, ...
0.243847175788, 0.244478515102, 0.245109951745, 0.245741485998, ...
0.246373118143, 0.247004848463, 0.24763667724, 0.248268604756, ...
0.248900631296, 0.249532757143, 0.25016498258, 0.250797307892, ...
0.251429733364, 0.252062259279, 0.252694885923, 0.253327613581, ...
0.253960442538, 0.254593373082, 0.255226405497, 0.25585954007, ...
0.256492777089, 0.25712611684, 0.25775955961, 0.258393105687, ...
0.25902675536, 0.259660508917, 0.260294366646, 0.260928328836, ...
0.261562395776, 0.262196567757, 0.262830845067, 0.263465227997, ...
0.264099716838, 0.264734311881, 0.265369013416, 0.266003821735, ...
0.26663873713, 0.267273759892, 0.267908890315, 0.268544128691, ...
0.269179475313, 0.269814930474, 0.270450494469, 0.271086167591, ...
0.271721950134, 0.272357842394, 0.272993844665, 0.273629957242, ...
0.274266180422, 0.2749025145, 0.275538959773, 0.276175516537, ...
0.27681218509, 0.277448965729, 0.278085858751, 0.278722864454, ...
0.279359983137, 0.279997215099, 0.280634560639, 0.281272020056, ...
0.28190959365, 0.28254728172, 0.283185084568, 0.283823002495, ...
0.2844610358, 0.285099184787, 0.285737449756, 0.28637583101, ...
0.287014328852, 0.287652943584, 0.288291675509, 0.288930524932, ...
0.289569492157, 0.290208577487, 0.290847781227, 0.291487103683, ...
0.292126545159, 0.292766105963, 0.293405786399, 0.294045586775, ...
0.294685507396, 0.295325548572, 0.295965710609, 0.296605993814, ...
0.297246398498, 0.297886924968, 0.298527573533, 0.299168344504, ...
0.29980923819, 0.3004502549, 0.301091394947, 0.301732658641, ...
0.302374046293, 0.303015558215, 0.303657194719, 0.304298956119, ...
0.304940842726, 0.305582854855, 0.306224992819, 0.306867256932, ...
0.307509647508, 0.308152164863, 0.308794809313, 0.309437581171, ...
0.310080480756, 0.310723508383, 0.311366664369, 0.312009949032, ...
0.312653362689, 0.313296905659, 0.313940578259, 0.314584380809, ...
0.315228313629, 0.315872377037, 0.316516571355, 0.317160896902, ...
0.317805354, 0.318449942971, 0.319094664135, 0.319739517815, ...
0.320384504335, 0.321029624016, 0.321674877183, 0.322320264159, ...
0.322965785269, 0.323611440838, 0.32425723119, 0.324903156652, ...
0.325549217549, 0.326195414208, 0.326841746956, 0.32748821612, ...
0.328134822029, 0.328781565009, 0.329428445391, 0.330075463502, ...
0.330722619673, 0.331369914234, 0.332017347514, 0.332664919846, ...
0.33331263156, 0.333960482988, 0.334608474462, 0.335256606314, ...
0.335904878879, 0.33655329249, 0.33720184748, 0.337850544184, ...
0.338499382938, 0.339148364076, 0.339797487934, 0.340446754849, ...
0.341096165157, 0.341745719196, 0.342395417304, 0.343045259818, ...
0.343695247078, 0.344345379421, 0.344995657189, 0.345646080722, ...
0.346296650358, 0.346947366441, 0.34759822931, 0.348249239309, ...
0.34890039678, 0.349551702065, 0.350203155508, 0.350854757453, ...
0.351506508245, 0.352158408227, 0.352810457747, 0.353462657149, ...
0.354115006779, 0.354767506986, 0.355420158116, 0.356072960516, ...
0.356725914537, 0.357379020525, 0.358032278831, 0.358685689804, ...
0.359339253795, 0.359992971155, 0.360646842235, 0.361300867386, ...
0.361955046963, 0.362609381316, 0.363263870801, 0.36391851577, ...
0.364573316578, 0.36522827358, 0.365883387132, 0.36653865759, ...
0.367194085311, 0.36784967065, 0.368505413967, 0.369161315619, ...
0.369817375965, 0.370473595364, 0.371129974175, 0.37178651276, ...
0.372443211479, 0.373100070693, 0.373757090765, 0.374414272056, ...
0.37507161493, 0.37572911975, 0.37638678688, 0.377044616686, ...
0.377702609531, 0.378360765783, 0.379019085806, 0.379677569969, ...
0.380336218639, 0.380995032182, 0.381654010969, 0.382313155368, ...
0.382972465749, 0.383631942482, 0.384291585938, 0.384951396488, ...
0.385611374504, 0.386271520359, 0.386931834425, 0.387592317078, ...
0.38825296869, 0.388913789636, 0.389574780293, 0.390235941036, ...
0.390897272241, 0.391558774287, 0.392220447549, 0.392882292409, ...
0.393544309243, 0.394206498431, 0.394868860354, 0.395531395393, ...
0.396194103929, 0.396856986343, 0.397520043019, 0.39818327434, ...
0.398846680689, 0.399510262451, 0.40017402001, 0.400837953753, ...
0.401502064066, 0.402166351335, 0.402830815949, 0.403495458294, ...
0.404160278761, 0.404825277738, 0.405490455615, 0.406155812784, ...
0.406821349634, 0.407487066559, 0.40815296395, 0.408819042201, ...
0.409485301706, 0.410151742859, 0.410818366055, 0.41148517169, ...
0.41215216016, 0.412819331863, 0.413486687196, 0.414154226557, ...
0.414821950346, 0.415489858963, 0.416157952806, 0.416826232279, ...
0.417494697781, 0.418163349716, 0.418832188486, 0.419501214496, ...
0.420170428149, 0.420839829851, 0.421509420007, 0.422179199024, ...
0.422849167309, 0.423519325269, 0.424189673313, 0.42486021185, ...
0.42553094129, 0.426201862043, 0.426872974521, 0.427544279136, ...
0.4282157763, 0.428887466426, 0.429559349928, 0.430231427222, ...
0.430903698722, 0.431576164846, 0.432248826008, 0.432921682628, ...
0.433594735123, 0.434267983913, 0.434941429417, 0.435615072055, ...
0.436288912249, 0.436962950421, 0.437637186994, 0.43831162239, ...
0.438986257034, 0.43966109135, 0.440336125765, 0.441011360704, ...
0.441686796595, 0.442362433866, 0.443038272944, 0.44371431426, ...
0.444390558244, 0.445067005325, 0.445743655937, 0.446420510511, ...
0.44709756948, 0.447774833279, 0.448452302341, 0.449129977103, ...
0.449807858, 0.45048594547, 0.45116423995, 0.45184274188, ...
0.452521451697, 0.453200369842, 0.453879496757, 0.454558832883, ...
0.455238378662, 0.455918134538, 0.456598100954, 0.457278278357, ...
0.45795866719, 0.458639267901, 0.459320080938, 0.460001106748, ...
0.460682345779, 0.461363798483, 0.46204546531, 0.46272734671, ...
0.463409443136, 0.464091755042, 0.46477428288, 0.465457027107, ...
0.466139988176, 0.466823166546, 0.467506562672, 0.468190177013, ...
0.468874010028, 0.469558062177, 0.470242333919, 0.470926825718, ...
0.471611538035, 0.472296471333, 0.472981626076, 0.473667002729, ...
0.474352601759, 0.47503842363, 0.475724468813, 0.476410737773, ...
0.477097230982, 0.477783948909, 0.478470892024, 0.479158060801, ...
0.479845455711, 0.480533077229, 0.48122092583, 0.481909001988, ...
0.48259730618, 0.483285838883, 0.483974600576, 0.484663591739, ...
0.48535281285, 0.48604226439, 0.486731946843, 0.487421860691, ...
0.488112006416, 0.488802384505, 0.489492995442, 0.490183839715, ...
0.49087491781, 0.491566230217, 0.492257777423, 0.492949559921, ...
0.493641578201, 0.494333832755, 0.495026324076, 0.49571905266, ...
0.496412018999, 0.497105223592, 0.497798666935, 0.498492349525, ...
0.499186271862, 0.499880434446, 0.500574837777, 0.501269482359, ...
0.501964368692, 0.502659497283, 0.503354868635, 0.504050483254, ...
0.504746341647, 0.505442444322, 0.506138791788, 0.506835384556, ...
0.507532223135, 0.508229308038, 0.508926639778, 0.509624218869, ...
0.510322045826, 0.511020121164, 0.511718445402, 0.512417019057, ...
0.513115842648, 0.513814916696, 0.514514241722, 0.515213818248, ...
0.515913646798, 0.516613727896, 0.517314062067, 0.518014649839, ...
0.518715491738, 0.519416588293, 0.520117940035, 0.520819547494, ...
0.521521411203, 0.522223531693, 0.5229259095, 0.523628545158, ...
0.524331439204, 0.525034592175, 0.52573800461, 0.526441677048, ...
0.527145610031, 0.5278498041, 0.528554259797, 0.529258977668, ...
0.529963958257, 0.530669202111, 0.531374709778, 0.532080481805, ...
0.532786518743, 0.533492821143, 0.534199389557, 0.534906224537, ...
0.535613326639, 0.536320696418, 0.537028334431, 0.537736241235, ...
0.53844441739, 0.539152863456, 0.539861579995, 0.540570567568, ...
0.541279826741, 0.541989358077, 0.542699162143, 0.543409239507, ...
0.544119590737, 0.544830216402, 0.545541117075, 0.546252293327, ...
0.546963745731, 0.547675474863, 0.548387481299, 0.549099765614, ...
0.549812328389, 0.550525170202, 0.551238291635, 0.551951693269, ...
0.552665375689, 0.553379339478, 0.554093585223, 0.55480811351, ...
0.555522924929, 0.556238020069, 0.556953399521, 0.557669063878, ...
0.558385013733, 0.559101249681, 0.559817772317, 0.560534582241, ...
0.56125168005, 0.561969066345, 0.562686741727, 0.563404706799, ...
0.564122962165, 0.56484150843, 0.565560346202, 0.566279476088, ...
0.566998898697, 0.567718614641, 0.568438624533, 0.569158928984, ...
0.56987952861, 0.570600424028, 0.571321615855, 0.57204310471, ...
0.572764891214, 0.573486975988, 0.574209359655, 0.57493204284, ...
0.575655026169, 0.576378310269, 0.577101895769, 0.5778257833, ...
0.578549973492, 0.57927446698, 0.579999264397, 0.580724366379, ...
0.581449773564, 0.58217548659, 0.582901506099, 0.58362783273, ...
0.584354467129, 0.585081409939, 0.585808661806, 0.586536223378, ...
0.587264095305, 0.587992278236, 0.588720772824, 0.589449579722, ...
0.590178699585, 0.590908133071, 0.591637880836, 0.592367943541, ...
0.593098321847, 0.593829016416, 0.594560027913, 0.595291357003, ...
0.596023004354, 0.596754970634, 0.597487256514, 0.598219862666, ...
0.598952789763, 0.599686038481, 0.600419609496, 0.601153503486, ...
0.601887721131, 0.602622263113, 0.603357130115, 0.604092322821, ...
0.604827841918, 0.605563688093, 0.606299862036, 0.607036364439, ...
0.607773195994, 0.608510357395, 0.609247849338, 0.609985672522, ...
0.610723827646, 0.61146231541, 0.612201136518, 0.612940291674, ...
0.613679781584, 0.614419606955, 0.615159768498, 0.615900266923, ...
0.616641102944, 0.617382277275, 0.618123790632, 0.618865643733, ...
0.619607837299, 0.62035037205, 0.621093248711, 0.621836468005, ...
0.622580030661, 0.623323937406, 0.62406818897, 0.624812786087, ...
0.625557729489, 0.626303019913, 0.627048658096, 0.627794644778, ...
0.628540980698, 0.629287666601, 0.630034703232, 0.630782091336, ...
0.631529831662, 0.632277924961, 0.633026371984, 0.633775173485, ...
0.634524330221, 0.63527384295, 0.636023712429, 0.636773939423, ...
0.637524524692, 0.638275469004, 0.639026773124, 0.639778437823, ...
0.640530463871, 0.641282852041, 0.642035603108, 0.642788717849, ...
0.643542197043, 0.64429604147, 0.645050251913, 0.645804829157, ...
0.646559773988, 0.647315087195, 0.648070769569, 0.648826821903, ...
0.64958324499, 0.650340039629, 0.651097206616, 0.651854746754, ...
0.652612660844, 0.653370949693, 0.654129614105, 0.654888654892, ...
0.655648072862, 0.656407868831, 0.657168043612, 0.657928598023, ...
0.658689532883, 0.659450849015, 0.66021254724, 0.660974628386, ...
0.66173709328, 0.662499942752, 0.663263177633, 0.66402679876, ...
0.664790806967, 0.665555203094, 0.666319987981, 0.667085162471, ...
0.66785072741, 0.668616683646, 0.669383032026, 0.670149773405, ...
0.670916908635, 0.671684438573, 0.672452364078, 0.67322068601, ...
0.673989405232, 0.674758522611, 0.675528039013, 0.67629795531, ...
0.677068272372, 0.677838991074, 0.678610112294, 0.679381636911, ...
0.680153565806, 0.680925899864, 0.68169863997, 0.682471787013, ...
0.683245341885, 0.684019305478, 0.684793678689, 0.685568462415, ...
0.686343657558, 0.687119265021, 0.687895285708, 0.688671720529, ...
0.689448570392, 0.690225836212, 0.691003518904, 0.691781619384, ...
0.692560138575, 0.693339077397, 0.694118436777, 0.694898217643, ...
0.695678420925, 0.696459047555, 0.69724009847, 0.698021574607, ...
0.698803476906, 0.699585806312, 0.700368563769, 0.701151750226, ...
0.701935366634, 0.702719413947, 0.70350389312, 0.704288805113, ...
0.705074150887, 0.705859931406, 0.706646147638, 0.707432800551, ...
0.708219891118, 0.709007420313, 0.709795389115, 0.710583798504, ...
0.711372649463, 0.712161942978, 0.712951680037, 0.713741861631, ...
0.714532488756, 0.715323562408, 0.716115083586, 0.716907053294, ...
0.717699472536, 0.718492342322, 0.719285663661, 0.720079437569, ...
0.720873665062, 0.721668347159, 0.722463484884, 0.723259079262, ...
0.724055131321, 0.724851642093, 0.725648612612, 0.726446043916, ...
0.727243937044, 0.728042293041, 0.728841112951, 0.729640397826, ...
0.730440148716, 0.731240366677, 0.732041052768, 0.73284220805, ...
0.733643833587, 0.734445930447, 0.735248499702, 0.736051542423, ...
0.736855059689, 0.737659052579, 0.738463522177, 0.739268469569, ...
0.740073895844, 0.740879802096, 0.741686189419, 0.742493058914, ...
0.743300411682, 0.74410824883, 0.744916571465, 0.7457253807, ...
0.746534677651, 0.747344463435, 0.748154739176, 0.748965505998, ...
0.74977676503, 0.750588517404, 0.751400764255, 0.752213506722, ...
0.753026745948, 0.753840483077, 0.754654719259, 0.755469455646, ...
0.756284693394, 0.757100433662, 0.757916677614, 0.758733426414, ...
0.759550681234, 0.760368443246, 0.761186713627, 0.762005493558, ...
0.762824784223, 0.763644586809, 0.764464902507, 0.765285732513, ...
0.766107078024, 0.766928940243, 0.767751320376, 0.768574219631, ...
0.769397639223, 0.770221580367, 0.771046044284, 0.7718710322, ...
0.772696545341, 0.773522584939, 0.774349152231, 0.775176248455, ...
0.776003874855, 0.776832032678, 0.777660723175, 0.7784899476, ...
0.779319707213, 0.780150003277, 0.780980837056, 0.781812209823, ...
0.782644122852, 0.783476577421, 0.784309574812, 0.785143116312, ...
0.785977203212, 0.786811836806, 0.787647018393, 0.788482749274, ...
0.789319030758, 0.790155864155, 0.790993250781, 0.791831191953, ...
0.792669688996, 0.793508743238, 0.79434835601, 0.795188528648, ...
0.796029262492, 0.796870558888, 0.797712419183, 0.798554844732, ...
0.799397836891, 0.800241397023, 0.801085526493, 0.801930226672, ...
0.802775498936, 0.803621344663, 0.804467765238, 0.805314762049, ...
0.806162336489, 0.807010489955, 0.807859223848, 0.808708539576, ...
0.80955843855, 0.810408922185, 0.8112599919, 0.812111649122, ...
0.812963895279, 0.813816731806, 0.814670160142, 0.815524181729, ...
0.816378798017, 0.817234010459, 0.818089820512, 0.818946229639, ...
0.819803239307, 0.82066085099, 0.821519066163, 0.82237788631, ...
0.823237312917, 0.824097347476, 0.824957991484, 0.825819246443, ...
0.826681113861, 0.827543595248, 0.828406692123, 0.829270406006, ...
0.830134738426, 0.830999690914, 0.831865265009, 0.832731462252, ...
0.833598284192, 0.834465732382, 0.83533380838, 0.83620251375, ...
0.83707185006, 0.837941818885, 0.838812421805, 0.839683660404, ...
0.840555536273, 0.841428051007, 0.842301206208, 0.843175003483, ...
0.844049444444, 0.844924530708, 0.845800263899, 0.846676645646, ...
0.847553677583, 0.84843136135, 0.849309698594, 0.850188690965, ...
0.851068340122, 0.851948647726, 0.852829615446, 0.853711244958, ...
0.854593537942, 0.855476496083, 0.856360121074, 0.857244414613, ...
0.858129378404, 0.859015014157, 0.859901323588, 0.860788308418, ...
0.861675970376, 0.862564311196, 0.863453332618, 0.864343036389, ...
0.865233424261, 0.866124497993, 0.86701625935, 0.867908710104, ...
0.868801852031, 0.869695686916, 0.870590216549, 0.871485442727, ...
0.872381367254, 0.873277991937, 0.874175318595, 0.875073349049, ...
0.875972085128, 0.876871528668, 0.877771681512, 0.878672545509, ...
0.879574122514, 0.88047641439, 0.881379423006, 0.882283150238, ...
0.883187597969, 0.884092768089, 0.884998662493, 0.885905283087, ...
0.886812631779, 0.887720710488, 0.888629521138, 0.889539065661, ...
0.890449345995, 0.891360364086, 0.892272121887, 0.893184621359, ...
0.894097864469, 0.895011853191, 0.895926589508, 0.896842075409, ...
0.897758312891, 0.898675303958, 0.899593050622, 0.900511554903, ...
0.901430818827, 0.902350844428, 0.90327163375, 0.90419318884, ...
0.905115511758, 0.906038604567, 0.906962469342, 0.907887108163, ...
0.908812523118, 0.909738716305, 0.910665689828, 0.911593445799, ...
0.912521986339, 0.913451313577, 0.91438142965, 0.915312336703, ...
0.916244036888, 0.917176532369, 0.918109825313, 0.919043917899, ...
0.919978812315, 0.920914510754, 0.921851015421, 0.922788328527, ...
0.923726452292, 0.924665388946, 0.925605140727, 0.926545709881, ...
0.927487098664, 0.928429309338, 0.929372344179, 0.930316205466, ...
0.931260895491, 0.932206416553, 0.933152770962, 0.934099961035, ...
0.9350479891, 0.935996857491, 0.936946568555, 0.937897124647, ...
0.93884852813, 0.939800781378, 0.940753886774, 0.941707846709, ...
0.942662663587, 0.943618339818, 0.944574877824, 0.945532280036, ...
0.946490548893, 0.947449686847, 0.948409696358, 0.949370579895, ...
0.95033233994, 0.951294978982, 0.952258499521, 0.953222904069, ...
0.954188195145, 0.955154375281, 0.956121447017, 0.957089412906, ...
0.958058275508, 0.959028037398, 0.959998701157, 0.960970269379, ...
0.961942744669, 0.962916129641, 0.963890426921, 0.964865639146, ...
0.965841768964, 0.966818819033, 0.967796792022, 0.968775690612, ...
0.969755517495, 0.970736275374, 0.971717966963, 0.972700594988, ...
0.973684162186, 0.974668671305, 0.975654125105, 0.976640526359, ...
0.977627877849, 0.978616182371, 0.979605442731, 0.980595661749, ...
0.981586842254, 0.982578987091, 0.983572099113, 0.984566181188, ...
0.985561236196, 0.986557267027, 0.987554276585, 0.988552267788, ...
0.989551243564, 0.990551206854, 0.991552160613, 0.992554107808, ...
0.993557051418, 0.994560994436, 0.995565939868, 0.996571890733, ...
0.997578850062, 0.9985868209, 0.999595806306, 1.00060580935, ...
1.00161683312, 1.00262888071, 1.00364195524, 1.00465605983, ...
1.00567119762, 1.00668737176, 1.00770458543, 1.0087228418, ...
1.00974214407, 1.01076249545, 1.01178389916, 1.01280635844, ...
1.01382987655, 1.01485445675, 1.01588010232, 1.01690681657, ...
1.01793460279, 1.01896346433, 1.01999340452, 1.02102442671, ...
1.02205653428, 1.02308973062, 1.02412401912, 1.02515940322, ...
1.02619588633, 1.02723347191, 1.02827216342, 1.02931196435, ...
1.03035287819, 1.03139490845, 1.03243805866, 1.03348233237, ...
1.03452773314, 1.03557426455, 1.03662193018, 1.03767073366, ...
1.03872067861, 1.03977176868, 1.04082400752, 1.04187739881, ...
1.04293194626, 1.04398765357, 1.04504452448, 1.04610256273, ...
1.04716177209, 1.04822215635, 1.04928371929, 1.05034646476, ...
1.05141039657, 1.0524755186, 1.0535418347, 1.05460934878, ...
1.05567806475, 1.05674798653, 1.05781911808, 1.05889146336, ...
1.05996502636, 1.06103981109, 1.06211582157, 1.06319306184, ...
1.06427153597, 1.06535124805, 1.06643220217, 1.06751440246, ...
1.06859785307, 1.06968255816, 1.07076852192, 1.07185574854, ...
1.07294424226, 1.07403400732, 1.07512504799, 1.07621736855, ...
1.07731097332, 1.07840586663, 1.07950205283, 1.0805995363, ...
1.08169832142, 1.08279841262, 1.08389981434, 1.08500253104, ...
1.08610656721, 1.08721192734, 1.08831861598, 1.08942663766, ...
1.09053599698, 1.09164669853, 1.09275874692, 1.09387214681, ...
1.09498690286, 1.09610301977, 1.09722050226, 1.09833935506, ...
1.09945958293, 1.10058119068, 1.10170418311, 1.10282856507, ...
1.10395434141, 1.10508151703, 1.10621009684, 1.10734008578, ...
1.10847148882, 1.10960431095, 1.11073855719, 1.11187423257, ...
1.11301134218, 1.11414989111, 1.11528988448, 1.11643132745, ...
1.11757422519, 1.1187185829, 1.11986440583, 1.12101169923, ...
1.12216046839, 1.12331071862, 1.12446245528, 1.12561568374, ...
1.1267704094, 1.12792663769, 1.12908437408, 1.13024362405, ...
1.13140439313, 1.13256668686, 1.13373051083, 1.13489587064, ...
1.13606277195, 1.13723122041, 1.13840122174, 1.13957278166, ...
1.14074590595, 1.14192060039, 1.14309687083, 1.14427472312, ...
1.14545416315, 1.14663519686, 1.1478178302, 1.14900206916, ...
1.15018791978, 1.1513753881, 1.15256448023, 1.1537552023, ...
1.15494756045, 1.1561415609, 1.15733720988, 1.15853451364, ...
1.1597334785, 1.16093411079, 1.16213641689, 1.16334040321, ...
1.1645460762, 1.16575344233, 1.16696250814, 1.16817328018, ...
1.16938576505, 1.17059996938, 1.17181589985, 1.17303356317, ...
1.17425296609, 1.1754741154, 1.17669701793, 1.17792168055, ...
1.17914811017, 1.18037631374, 1.18160629825, 1.18283807074, ...
1.18407163828, 1.18530700798, 1.18654418701, 1.18778318256, ...
1.18902400188, 1.19026665225, 1.19151114101, 1.19275747553, ...
1.19400566322, 1.19525571156, 1.19650762804, 1.19776142023, ...