-
Notifications
You must be signed in to change notification settings - Fork 2
/
mercury.c
7561 lines (7466 loc) · 463 KB
/
mercury.c
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
// hskymon from HDS OPE file Editor
// New SkyMonitor for Subaru Gen2
// mercury.c --- imported from libnova
//
// 2012.10.22 A.Tajitsu
/*
* This library is free software; you can redistribute it and/or
* modify it under the terms of the GNU Lesser General Public
* License as published by the Free Software Foundation; either
* version 2 of the License, or (at your option) any later version.
*
* This library 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
* Lesser General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
*
* Some functions in this file use the VSOP87 solution by
* Messrs. Bretagnon and Francou.
*
* Copyright (C) 2000 - 2005 Liam Girdwood
*/
#include <math.h>
#include "libnova/mercury.h"
#include "libnova/vsop87.h"
#include "libnova/solar.h"
#include "libnova/earth.h"
#include "libnova/transform.h"
#include "libnova/rise_set.h"
#include "libnova/utility.h"
#define LONG_L0 1583
#define LONG_L1 931
#define LONG_L2 438
#define LONG_L3 162
#define LONG_L4 23
#define LONG_L5 12
#define LAT_B0 818
#define LAT_B1 492
#define LAT_B2 231
#define LAT_B3 39
#define LAT_B4 13
#define LAT_B5 10
#define RADIUS_R0 1209
#define RADIUS_R1 706
#define RADIUS_R2 318
#define RADIUS_R3 111
#define RADIUS_R4 17
#define RADIUS_R5 10
/* cache variables */
static double cJD = 0, cL = 0, cB = 0, cR = 0;
static const struct ln_vsop mercury_longitude_l0[LONG_L0] = {
{ 4.40250710144, 0.00000000000, 0.00000000000},
{ 0.40989414977, 1.48302034195, 26087.90314157420},
{ 0.05046294200, 4.47785489551, 52175.80628314840},
{ 0.00855346844, 1.16520322459, 78263.70942472259},
{ 0.00165590362, 4.11969163423, 104351.61256629678},
{ 0.00034561897, 0.77930768443, 130439.51570787099},
{ 0.00007583476, 3.71348404924, 156527.41884944518},
{ 0.00003559745, 1.51202675145, 1109.37855209340},
{ 0.00001726011, 0.35832267096, 182615.32199101939},
{ 0.00001803464, 4.10333184211, 5661.33204915220},
{ 0.00001364681, 4.59918328256, 27197.28169366760},
{ 0.00001589923, 2.99510423560, 25028.52121138500},
{ 0.00001017332, 0.88031393824, 31749.23519072640},
{ 0.00000714182, 1.54144862493, 24978.52458948080},
{ 0.00000643759, 5.30266166599, 21535.94964451540},
{ 0.00000404200, 3.28228953196, 208703.22513259358},
{ 0.00000352442, 5.24156372447, 20426.57109242200},
{ 0.00000343312, 5.76531703870, 955.59974160860},
{ 0.00000339215, 5.86327825226, 25558.21217647960},
{ 0.00000451137, 6.04989282259, 51116.42435295920},
{ 0.00000325329, 1.33674488758, 53285.18483524180},
{ 0.00000259588, 0.98732774234, 4551.95349705880},
{ 0.00000345213, 2.79211954198, 15874.61759536320},
{ 0.00000272948, 2.49451165014, 529.69096509460},
{ 0.00000234831, 0.26672019191, 11322.66409830440},
{ 0.00000238793, 0.11343914400, 1059.38193018920},
{ 0.00000264336, 3.91705105199, 57837.13833230060},
{ 0.00000216645, 0.65987085507, 13521.75144159140},
{ 0.00000183358, 2.62878694178, 27043.50288318280},
{ 0.00000175965, 4.53636943501, 51066.42773105500},
{ 0.00000181629, 2.43413603252, 25661.30495069820},
{ 0.00000208996, 2.09178645677, 47623.85278608960},
{ 0.00000172642, 2.45200139206, 24498.83024629040},
{ 0.00000142317, 3.36004060149, 37410.56723987860},
{ 0.00000137943, 0.29098540695, 10213.28554621100},
{ 0.00000118233, 2.78149967294, 77204.32749453338},
{ 0.00000096860, 6.20398934398, 234791.12827416777},
{ 0.00000125219, 3.72079967668, 39609.65458316560},
{ 0.00000086819, 2.64218953915, 51646.11531805379},
{ 0.00000086723, 1.95952945936, 46514.47423399620},
{ 0.00000088330, 5.41338287192, 26617.59410666880},
{ 0.00000106422, 4.20572143374, 19804.82729158280},
{ 0.00000089987, 5.85243663953, 41962.52073693740},
{ 0.00000084970, 4.33100839394, 79373.08797681599},
{ 0.00000069247, 4.19446500577, 19.66976089979},
{ 0.00000063462, 3.14700988911, 7238.67559160000},
{ 0.00000068493, 0.63424913908, 83925.04147387479},
{ 0.00000069728, 3.57201999194, 25132.30339996560},
{ 0.00000059481, 2.74692562834, 16983.99614745660},
{ 0.00000064830, 0.04762450218, 33326.57873317420},
{ 0.00000055377, 4.05313774098, 30639.85663863300},
{ 0.00000054443, 3.14332489827, 27147.28507176339},
{ 0.00000047560, 5.49722123456, 3.88133535800},
{ 0.00000049567, 3.98985799218, 6770.71060124560},
{ 0.00000056532, 5.11921332252, 73711.75592766379},
{ 0.00000041764, 5.64184020485, 53131.40602475700},
{ 0.00000051459, 5.47786791090, 50586.73338786459},
{ 0.00000044745, 1.22367821919, 77154.33087262919},
{ 0.00000041882, 5.19309331936, 6283.07584999140},
{ 0.00000038045, 2.43118010131, 12566.15169998280},
{ 0.00000035627, 0.81389896255, 32858.61374281979},
{ 0.00000048008, 5.49260945754, 51749.20809227239},
{ 0.00000035393, 3.36964017301, 36301.18868778519},
{ 0.00000033952, 2.78617956300, 14765.23904326980},
{ 0.00000030560, 5.84043579595, 43071.89928903080},
{ 0.00000035964, 1.42379903884, 2218.75710418680},
{ 0.00000034044, 0.47470616849, 65697.55772473979},
{ 0.00000030800, 5.77017754761, 103292.23063610759},
{ 0.00000028497, 0.65049545721, 426.59819087600},
{ 0.00000026215, 5.24159685130, 22645.32819660879},
{ 0.00000026253, 0.64808296487, 1589.07289528380},
{ 0.00000029538, 0.69772207795, 213.29909543800},
{ 0.00000027505, 0.98011083160, 45892.73043315699},
{ 0.00000022347, 5.65336593067, 77734.01845962799},
{ 0.00000022047, 4.93396759824, 72602.37737557039},
{ 0.00000022275, 2.17909946933, 52705.49724824299},
{ 0.00000024253, 4.39994479508, 7.11354700080},
{ 0.00000026751, 1.06147352850, 3442.57494496540},
{ 0.00000023656, 2.84171550782, 260879.03141574195},
{ 0.00000022908, 2.58461108154, 68050.42387851159},
{ 0.00000027087, 0.08501671340, 63498.47038145279},
{ 0.00000022247, 3.22418752189, 25448.00585526019},
{ 0.00000017803, 3.61202758583, 110012.94461544899},
{ 0.00000022407, 1.02519770236, 105460.99111839019},
{ 0.00000017576, 4.71743981697, 25874.60404613620},
{ 0.00000018587, 4.52707983519, 28306.66024576099},
{ 0.00000014176, 6.12393941824, 53235.18821333759},
{ 0.00000014185, 5.14248515833, 26068.23338067440},
{ 0.00000017244, 0.28394283830, 51220.20654153979},
{ 0.00000017176, 3.26084148462, 153.77881048480},
{ 0.00000014939, 1.83543553823, 99799.65906923798},
{ 0.00000013389, 0.76569062416, 56727.75978020720},
{ 0.00000013978, 2.30196369782, 76674.63652943878},
{ 0.00000014428, 0.96645616238, 26107.57290247399},
{ 0.00000011991, 6.20493040602, 18849.22754997420},
{ 0.00000014381, 1.90954650143, 23969.13928119580},
{ 0.00000011233, 2.04816282167, 32370.97899156560},
{ 0.00000013387, 4.51756775840, 26080.78959457339},
{ 0.00000011632, 2.38496112750, 79219.30916633119},
{ 0.00000012412, 2.22281109320, 77837.11123384659},
{ 0.00000009950, 2.04595599803, 48733.23133818299},
{ 0.00000009803, 2.26703539620, 26091.78447693220},
{ 0.00000009361, 5.44289482405, 38654.05484155699},
{ 0.00000009746, 3.83975715814, 26084.02180621620},
{ 0.00000009264, 4.02987321949, 467.96499035440},
{ 0.00000008961, 0.11065043662, 62389.09182935939},
{ 0.00000011544, 4.17786977391, 103242.23401420339},
{ 0.00000011146, 3.78295646170, 26301.20223701220},
{ 0.00000009677, 2.98528938781, 59414.48187474840},
{ 0.00000008977, 3.47890335185, 91785.46086631398},
{ 0.00000009664, 5.77943268592, 25938.33994443960},
{ 0.00000008855, 2.84674490228, 25035.63475838580},
{ 0.00000008180, 5.77857984038, 40853.14218484400},
{ 0.00000008033, 2.45698456693, 129380.13377768178},
{ 0.00000008343, 5.34502885776, 19317.19254032860},
{ 0.00000007425, 4.71160285382, 6.62855890001},
{ 0.00000009001, 6.23397065428, 25021.40766438420},
{ 0.00000008126, 1.12294678263, 26095.01668857500},
{ 0.00000006568, 3.66246087364, 26514.50133245020},
{ 0.00000007038, 3.99042086727, 71980.63357473118},
{ 0.00000006956, 1.62821293256, 23869.14603738740},
{ 0.00000007595, 0.18335017533, 12432.04265039780},
{ 0.00000006061, 3.67045619806, 27676.97603685800},
{ 0.00000005896, 5.57171840811, 94138.32702008578},
{ 0.00000005716, 5.18202059613, 78793.40038981718},
{ 0.00000005854, 2.14305101727, 20760.42703319140},
{ 0.00000005680, 1.60728089799, 98690.28051714458},
{ 0.00000005789, 2.35464263941, 103821.92160120218},
{ 0.00000005124, 3.77854984569, 58946.51688439399},
{ 0.00000005869, 5.76284651190, 286966.93455731616},
{ 0.00000005858, 6.12539769557, 26011.63707029860},
{ 0.00000005216, 3.29188857438, 38519.94579197200},
{ 0.00000006000, 0.00056823654, 51535.90899683439},
{ 0.00000004647, 0.29029324438, 136100.84775702319},
{ 0.00000005787, 4.44778418175, 19406.67828817460},
{ 0.00000005908, 4.12201530508, 29530.47808653960},
{ 0.00000005917, 3.98935947283, 131548.89425996438},
{ 0.00000005729, 3.02328937218, 89586.37352302698},
{ 0.00000003928, 4.81446546705, 125887.56221081219},
{ 0.00000003930, 2.48445582384, 69159.80243060499},
{ 0.00000003681, 2.80184812919, 79323.09135491178},
{ 0.00000004497, 1.50332900944, 51962.50718771040},
{ 0.00000003687, 5.33731853178, 102762.53967101299},
{ 0.00000003495, 1.85405073784, 52156.13652224860},
{ 0.00000003868, 1.25354721052, 54394.56338733519},
{ 0.00000004459, 4.88906500860, 50057.04242277000},
{ 0.00000003397, 3.73895635453, 82815.66292178139},
{ 0.00000003524, 6.07665334083, 25934.12433108940},
{ 0.00000003492, 1.28212999580, 52168.69273614759},
{ 0.00000003410, 6.13975533859, 639.89728631400},
{ 0.00000004396, 3.25474698374, 77308.10968311399},
{ 0.00000002990, 5.27320912825, 46848.33017476560},
{ 0.00000003218, 5.20951952570, 103925.01437542078},
{ 0.00000002899, 5.08446931064, 58458.88213313979},
{ 0.00000003708, 0.02716119180, 26241.68195205900},
{ 0.00000002991, 2.92282776454, 44937.13069154840},
{ 0.00000003177, 0.05757316718, 22747.29071487440},
{ 0.00000003163, 5.38719447649, 105307.21230790539},
{ 0.00000003556, 3.96232550668, 52195.47604404819},
{ 0.00000002786, 0.54711208086, 52389.10537858640},
{ 0.00000002458, 1.14914981714, 2333.19639287200},
{ 0.00000002492, 5.24929906471, 25668.41849769900},
{ 0.00000002408, 2.14206640426, 64741.95798313119},
{ 0.00000002512, 0.61953030750, 85034.42002596818},
{ 0.00000002416, 5.26205009423, 52179.68761850640},
{ 0.00000002296, 3.09905229352, 88476.99497093359},
{ 0.00000002357, 0.17755751938, 117873.36400788819},
{ 0.00000003012, 0.83692018918, 129330.13715577759},
{ 0.00000002421, 3.95905297486, 49.99662190420},
{ 0.00000002198, 2.56141354099, 3340.61242669980},
{ 0.00000002402, 0.55122303655, 52171.92494779040},
{ 0.00000002106, 5.41293286528, 155468.03691925599},
{ 0.00000002566, 3.00613732096, 51109.31080595839},
{ 0.00000002392, 0.17900577928, 103.09277421860},
{ 0.00000002737, 1.08182962639, 632.78373931320},
{ 0.00000002523, 5.90364727370, 51123.53789995999},
{ 0.00000002098, 2.47134468716, 66941.04532641819},
{ 0.00000002003, 3.75400419522, 16066.06586147480},
{ 0.00000002187, 1.18677902826, 2118.76386037840},
{ 0.00000002592, 2.55125611209, 25654.19140369739},
{ 0.00000002558, 1.18092756650, 45494.58142974879},
{ 0.00000001918, 0.79900663165, 26555.86813192860},
{ 0.00000001819, 0.69190176381, 98068.53671630539},
{ 0.00000002470, 2.55063539113, 52026.24308601380},
{ 0.00000001703, 0.36707055030, 52602.40447402440},
{ 0.00000002128, 2.66244619788, 18093.37469954999},
{ 0.00000001715, 4.62167075193, 49957.04917896160},
{ 0.00000001916, 5.83738859952, 85502.38501632259},
{ 0.00000001975, 3.57371472249, 24395.73747207180},
{ 0.00000001589, 1.33529471080, 114.43928868521},
{ 0.00000001580, 0.36965179736, 53764.87917843220},
{ 0.00000002040, 2.05393633143, 45405.09568190280},
{ 0.00000001538, 2.25451813652, 120226.23016165999},
{ 0.00000001525, 1.48227419795, 26094.53170047421},
{ 0.00000002055, 4.16318224321, 52182.91983014920},
{ 0.00000001829, 0.38851668054, 522.57741809380},
{ 0.00000002105, 4.04134275183, 25234.70675982219},
{ 0.00000001480, 1.87649882402, 104881.30353139139},
{ 0.00000001460, 1.01787199022, 25455.11940226100},
{ 0.00000001452, 0.34126077893, 1052.26838318840},
{ 0.00000001449, 3.39746980273, 24505.94379329119},
{ 0.00000001480, 4.55091353969, 124778.18365871879},
{ 0.00000001481, 3.62243153520, 149.56319713460},
{ 0.00000001515, 5.32310335641, 129909.82474277639},
{ 0.00000001594, 3.00904352013, 77623.81213840858},
{ 0.00000001927, 3.90375426022, 74.78159856730},
{ 0.00000001374, 4.32416902448, 80482.46652890938},
{ 0.00000001420, 3.90107663911, 7880.08915333899},
{ 0.00000001525, 4.62447824359, 26081.27458267419},
{ 0.00000001567, 0.65986586630, 157636.79740153858},
{ 0.00000001725, 4.40110982693, 316.39186965660},
{ 0.00000001263, 4.96345861180, 74821.13447975718},
{ 0.00000001472, 5.56023083923, 95247.70557217918},
{ 0.00000001315, 1.83261160452, 76144.94556434419},
{ 0.00000001439, 0.83307888017, 55618.38122811380},
{ 0.00000001355, 3.15836403543, 1066.49547719000},
{ 0.00000001223, 3.24039981367, 162188.75089859738},
{ 0.00000001390, 5.13722781530, 419.48464387520},
{ 0.00000001309, 5.28240557347, 25619.93815121980},
{ 0.00000001477, 2.40286418702, 313054.83769889036},
{ 0.00000001252, 5.65232980046, 26013.12154300690},
{ 0.00000001143, 0.38696459711, 42153.96900304900},
{ 0.00000001082, 2.56546867715, 26190.99591579279},
{ 0.00000001493, 2.89979127265, 52099.54021187280},
{ 0.00000001468, 5.71541196756, 24491.71669928959},
{ 0.00000001034, 1.49588002262, 151975.46535238638},
{ 0.00000001315, 5.91525944336, 115674.27666460119},
{ 0.00000001065, 3.61056177659, 206.18554843720},
{ 0.00000001053, 5.18007204084, 23754.70674870219},
{ 0.00000000963, 2.05291382470, 128850.44281258718},
{ 0.00000001031, 3.39058255009, 25551.09862947879},
{ 0.00000001065, 3.38232835239, 25863.55834587229},
{ 0.00000001153, 5.76502004439, 44181.27784112419},
{ 0.00000000960, 5.74762439771, 105410.99449648599},
{ 0.00000001137, 6.20916641857, 103396.01282468818},
{ 0.00000000914, 4.28846119946, 78256.59587772179},
{ 0.00000000918, 3.27512590931, 76.26607127560},
{ 0.00000000892, 4.82401266810, 78244.03966382280},
{ 0.00000000977, 4.86447903869, 25131.61398560359},
{ 0.00000001086, 0.73421207473, 33967.99229491319},
{ 0.00000001162, 4.52149319583, 78050.41032928458},
{ 0.00000000868, 2.78832869275, 52022.02747266360},
{ 0.00000000944, 4.09732379319, 26720.68688088739},
{ 0.00000000973, 4.54021116854, 24925.42843716640},
{ 0.00000000845, 5.05428850137, 25977.69682035479},
{ 0.00000000841, 1.89439003615, 130012.91751699499},
{ 0.00000000920, 3.02491491588, 52329.58509363319},
{ 0.00000000813, 3.15301734719, 48835.19385644859},
{ 0.00000000877, 0.41324612537, 108903.56606335558},
{ 0.00000000819, 1.61521143447, 40565.25432477420},
{ 0.00000001075, 1.37287014880, 23439.44831610119},
{ 0.00000000812, 2.82158357641, 25984.81036735560},
{ 0.00000000775, 2.86885996155, 26727.80042788820},
{ 0.00000000755, 5.44067758231, 24609.03656750980},
{ 0.00000000919, 4.72527676083, 14477.35118320000},
{ 0.00000000914, 4.70822051956, 6681.22485339960},
{ 0.00000000749, 1.80266552461, 84546.78527471398},
{ 0.00000000906, 0.64975766863, 78283.37918562238},
{ 0.00000000855, 5.05062817348, 307.55762096960},
{ 0.00000000766, 5.89903011866, 71025.03383312259},
{ 0.00000000713, 3.55177815121, 78477.00852016058},
{ 0.00000000719, 1.85087720309, 100909.03762133139},
{ 0.00000000858, 5.43952313313, 536.80451209540},
{ 0.00000000794, 3.77060303998, 155418.04029735178},
{ 0.00000000848, 2.08846185252, 131395.11544947959},
{ 0.00000000623, 3.14632637321, 143961.26714946238},
{ 0.00000000623, 5.10465766894, 90829.86112470538},
{ 0.00000000621, 4.59014649415, 9103.90699411760},
{ 0.00000000706, 4.19528422791, 71582.48457132299},
{ 0.00000000739, 0.15975550376, 24712.12934172840},
{ 0.00000000714, 1.88028345040, 2199.08734328700},
{ 0.00000000677, 6.01432060800, 77197.21394753258},
{ 0.00000000620, 1.32853841881, 3328.13565628019},
{ 0.00000000650, 5.51234531031, 29428.51556827400},
{ 0.00000000657, 2.03363099847, 51756.32163927320},
{ 0.00000000594, 6.06826637505, 114564.89811250778},
{ 0.00000000666, 0.70705130538, 26162.68474014150},
{ 0.00000000598, 5.15770220681, 333.85594076940},
{ 0.00000000616, 1.94904709349, 78267.59076008058},
{ 0.00000000774, 2.84218106686, 13655.86049117640},
{ 0.00000000697, 5.60799904851, 51742.09454527159},
{ 0.00000000556, 2.07542224847, 181555.94006083018},
{ 0.00000000548, 3.17702541600, 90695.75207512038},
{ 0.00000000541, 4.20819062980, 28421.09953444620},
{ 0.00000000638, 5.55947577602, 78114.14622758799},
{ 0.00000000529, 3.60221910186, 1911.19948321720},
{ 0.00000000619, 4.87812731811, 25771.51127191760},
{ 0.00000000570, 3.56318859887, 111122.32316754239},
{ 0.00000000510, 4.20288540310, 28206.66700195260},
{ 0.00000000539, 5.42636252112, 93028.94846799239},
{ 0.00000000658, 3.45393169676, 26610.48055966799},
{ 0.00000000613, 3.52134452894, 78259.82808936459},
{ 0.00000000577, 0.81666137084, 51322.60990139639},
{ 0.00000000594, 1.16298541260, 26404.29501123080},
{ 0.00000000497, 5.37653944274, 26037.90651966999},
{ 0.00000000663, 2.63276230593, 77211.44104153418},
{ 0.00000000486, 1.96691155158, 26507.38778544939},
{ 0.00000000474, 3.65214522517, 124156.43985787958},
{ 0.00000000550, 5.81053917486, 1731.12235293260},
{ 0.00000000472, 3.79306901191, 52643.77127350280},
{ 0.00000000467, 4.50162371638, 110.20632121940},
{ 0.00000000592, 3.04748129459, 12725.45343477500},
{ 0.00000000551, 0.68606702543, 26137.89976347840},
{ 0.00000000600, 0.33955465102, 50483.64061364600},
{ 0.00000000525, 0.87914542260, 78270.82297172339},
{ 0.00000000443, 3.33347421396, 78690.30761559859},
{ 0.00000000439, 1.30939082033, 76044.95232053580},
{ 0.00000000588, 2.37059415297, 121335.60871375339},
{ 0.00000000426, 0.14790973129, 50593.84693486539},
{ 0.00000000413, 3.33312213477, 79852.78232000639},
{ 0.00000000403, 5.20675969218, 146314.13330323418},
{ 0.00000000524, 5.02826409094, 71492.99882347698},
{ 0.00000000417, 5.99136591640, 103711.71527998279},
{ 0.00000000389, 4.44187693350, 29416.03879785439},
{ 0.00000000389, 4.02257298908, 51543.02254383520},
{ 0.00000000442, 2.37195011319, 111590.28815789679},
{ 0.00000000375, 4.47560820150, 52182.43484204840},
{ 0.00000000387, 4.83554303442, 130969.20667296558},
{ 0.00000000389, 1.20251530573, 150866.08680029298},
{ 0.00000000407, 0.52988897291, 433.71173787680},
{ 0.00000000416, 3.60366729170, 183724.70054311278},
{ 0.00000000439, 2.45449965869, 50579.61984086379},
{ 0.00000000412, 0.50038241185, 27999.10262479140},
{ 0.00000000392, 0.68295335891, 134.10904958500},
{ 0.00000000399, 1.99463585522, 155997.72788435058},
{ 0.00000000422, 5.83266410745, 38813.35657634920},
{ 0.00000000346, 3.40284434869, 27140.17152476259},
{ 0.00000000368, 3.80729957662, 81706.28436968799},
{ 0.00000000342, 0.83873809330, 25764.39772491679},
{ 0.00000000358, 1.99506378254, 1089.70879119360},
{ 0.00000000463, 3.33594289344, 25440.89230825939},
{ 0.00000000331, 0.37072554435, 26237.46633870879},
{ 0.00000000330, 6.19220570613, 188276.65404017158},
{ 0.00000000408, 2.17144409714, 641.41356173899},
{ 0.00000000321, 5.02563588253, 102232.84870591838},
{ 0.00000000330, 5.51852292754, 10021.83728009940},
{ 0.00000000334, 2.49304639997, 25344.91308104160},
{ 0.00000000381, 5.90959254017, 78187.44335344699},
{ 0.00000000316, 2.42543561835, 52101.02468458109},
{ 0.00000000331, 4.38957047363, 26202.34243025941},
{ 0.00000000401, 1.99445200318, 49842.60989027639},
{ 0.00000000422, 0.46556007098, 1.48447270830},
{ 0.00000000310, 6.18778948056, 27154.39861876420},
{ 0.00000000302, 4.68609762435, 25565.32572348040},
{ 0.00000000297, 1.70847616577, 25973.46385288896},
{ 0.00000000375, 5.32471088557, 339142.74084046457},
{ 0.00000000328, 5.32599595480, 853.19638175200},
{ 0.00000000299, 5.81110649116, 1692.16566950240},
{ 0.00000000378, 1.33738289334, 52169.17772424839},
{ 0.00000000289, 6.20208961953, 25881.71759313700},
{ 0.00000000277, 4.45045644666, 178063.36849396059},
{ 0.00000000291, 4.44971680232, 579.68758699880},
{ 0.00000000316, 1.96022181583, 51707.84129279399},
{ 0.00000000337, 4.21436282894, 34282.17847478280},
{ 0.00000000334, 3.00242982742, 23866.04650697719},
{ 0.00000000268, 1.34364307187, 35191.81013569180},
{ 0.00000000308, 5.94802883612, 64607.84893354619},
{ 0.00000000283, 0.96217168652, 1639.06951718800},
{ 0.00000000287, 1.28056998141, 51013.33157874059},
{ 0.00000000270, 0.55824473532, 3462.24470586520},
{ 0.00000000274, 5.60833767567, 52278.89905736699},
{ 0.00000000352, 0.49345825951, 26294.08869001139},
{ 0.00000000358, 1.23398111485, 1223.81784077861},
{ 0.00000000344, 4.29281175054, 49527.35145767539},
{ 0.00000000255, 5.03014367020, 154938.34595416138},
{ 0.00000000297, 2.87098037822, 129483.91596626239},
{ 0.00000000253, 0.09066729355, 13541.42120249119},
{ 0.00000000301, 1.22703459160, 104138.31347085879},
{ 0.00000000274, 3.67743328955, 68241.87214462319},
{ 0.00000000321, 2.49935317919, 141762.17980617538},
{ 0.00000000290, 1.02140013440, 8194.27533320860},
{ 0.00000000239, 0.99187379290, 104344.49901929598},
{ 0.00000000277, 0.53135196296, 949.17560896980},
{ 0.00000000248, 2.39745008860, 131498.89763806018},
{ 0.00000000274, 2.09609851306, 26624.70765366959},
{ 0.00000000240, 0.85016661328, 52808.59002246159},
{ 0.00000000266, 0.18316540889, 2168.76048228260},
{ 0.00000000237, 3.15135087265, 23976.25282819660},
{ 0.00000000229, 2.19886640826, 50696.93970908399},
{ 0.00000000225, 4.85647140456, 156100.82065856918},
{ 0.00000000231, 1.49530886624, 104331.94280539699},
{ 0.00000000282, 1.63421453401, 51219.51712717779},
{ 0.00000000245, 4.68702231602, 5327.47610838280},
{ 0.00000000220, 5.75804546531, 78109.93061423779},
{ 0.00000000218, 5.42845467468, 18207.81398823521},
{ 0.00000000227, 6.02399891588, 1581.95934828300},
{ 0.00000000232, 5.99760045579, 78417.48823520739},
{ 0.00000000220, 3.72002247582, 7994.52844202420},
{ 0.00000000271, 0.20761446669, 51639.00177105299},
{ 0.00000000243, 2.33618213590, 25138.72753260440},
{ 0.00000000253, 5.46291034047, 621.74380083920},
{ 0.00000000280, 0.15532838705, 51951.46148744649},
{ 0.00000000209, 0.01830817650, 26164.16921284980},
{ 0.00000000208, 6.17986143435, 74923.09699802278},
{ 0.00000000206, 1.61576904815, 25241.82030682300},
{ 0.00000000236, 4.28926910244, 24079.34560241519},
{ 0.00000000211, 1.95574736110, 735.87651353180},
{ 0.00000000206, 5.86779636866, 52072.71350892979},
{ 0.00000000235, 3.60456469848, 104371.28232719658},
{ 0.00000000228, 3.66072813155, 1596.18644228460},
{ 0.00000000198, 5.85490519500, 52815.70356946240},
{ 0.00000000198, 1.02967825338, 25867.49049913539},
{ 0.00000000219, 1.39355980522, 32769.12799497380},
{ 0.00000000229, 3.36247801855, 134991.46920492979},
{ 0.00000000197, 4.77851384259, 110634.68841628819},
{ 0.00000000213, 0.77959231227, 917.93028598180},
{ 0.00000000190, 4.24426555817, 14.22709400160},
{ 0.00000000209, 5.44598697132, 147423.51185532758},
{ 0.00000000229, 0.76395418391, 220.41264243880},
{ 0.00000000185, 0.24825412134, 104564.91166173479},
{ 0.00000000189, 3.32749048432, 30.32686100440},
{ 0.00000000182, 2.31699263584, 9384.84100807520},
{ 0.00000000209, 1.81798829614, 52065.59996192899},
{ 0.00000000191, 0.91256199920, 97670.38771289718},
{ 0.00000000209, 0.41166983619, 181505.94343892598},
{ 0.00000000195, 1.96978627522, 314.18617986960},
{ 0.00000000185, 2.71647255738, 103285.11708910679},
{ 0.00000000188, 4.30567171912, 1884.90116341740},
{ 0.00000000225, 5.05990359517, 157483.01859105378},
{ 0.00000000194, 0.98119689475, 26049.77010593640},
{ 0.00000000193, 4.82115364463, 126996.94076290558},
{ 0.00000000185, 0.67159839253, 106570.36967048359},
{ 0.00000000167, 5.70903987089, 96357.08412427259},
{ 0.00000000200, 2.57264462597, 97112.93697469679},
{ 0.00000000184, 2.33825467783, 77829.99768684579},
{ 0.00000000176, 3.20477474376, 39629.32434406539},
{ 0.00000000169, 2.30516506046, 101.96251826560},
{ 0.00000000224, 3.20562091672, 50800.03248330259},
{ 0.00000000195, 5.18234930994, 99024.13645791399},
{ 0.00000000163, 6.10607233599, 170049.17029103659},
{ 0.00000000176, 4.28787695022, 25780.34552060460},
{ 0.00000000165, 6.00499743312, 224.34479570190},
{ 0.00000000160, 1.94771721315, 26421.75908234360},
{ 0.00000000167, 3.75605549998, 52250.58788171570},
{ 0.00000000164, 1.77310680762, 116917.76426627958},
{ 0.00000000216, 2.59043583275, 27819.02549450680},
{ 0.00000000154, 1.63000015144, 24815.22211594700},
{ 0.00000000155, 4.49642342619, 956.28915597060},
{ 0.00000000165, 3.81500359793, 77410.51304297059},
{ 0.00000000153, 3.95671977623, 24601.92302050899},
{ 0.00000000151, 5.03883003223, 207643.84320240439},
{ 0.00000000158, 4.95378278448, 35472.74414964940},
{ 0.00000000180, 5.62656169139, 103299.34418310839},
{ 0.00000000165, 2.25891713026, 104202.04936916218},
{ 0.00000000166, 1.72114015725, 2648.45482547300},
{ 0.00000000173, 2.62016482892, 26086.41866886590},
{ 0.00000000156, 1.62948955004, 51859.41441349179},
{ 0.00000000145, 2.63569129484, 24292.64469785319},
{ 0.00000000166, 0.21317040603, 52698.38370124219},
{ 0.00000000155, 1.79976780999, 3.93215326310},
{ 0.00000000151, 2.74555154751, 140652.80125408198},
{ 0.00000000170, 0.79077348232, 72936.23331633979},
{ 0.00000000177, 5.06186919984, 77844.22478084739},
{ 0.00000000150, 4.93080506410, 28286.99048486120},
{ 0.00000000175, 5.79341041658, 39743.76363275060},
{ 0.00000000163, 3.37027230636, 76571.54375522019},
{ 0.00000000186, 1.81335534539, 26395.46076254379},
{ 0.00000000159, 4.90444632725, 104355.49390165479},
{ 0.00000000149, 4.20183170995, 52492.19815280499},
{ 0.00000000146, 1.31209567772, 26198.10946279360},
{ 0.00000000163, 2.25608093049, 55516.41870984820},
{ 0.00000000131, 0.90558224757, 54294.57014352679},
{ 0.00000000142, 1.71011577241, 92741.06060792258},
{ 0.00000000138, 0.64118842478, 86143.79857806159},
{ 0.00000000165, 4.72014033895, 4083.98850670440},
{ 0.00000000132, 0.92042529620, 54509.00267602040},
{ 0.00000000125, 0.31897986681, 150244.34299945379},
{ 0.00000000144, 1.05243628393, 1083.08023229360},
{ 0.00000000144, 4.17447706870, 24822.33566294780},
{ 0.00000000151, 0.38915510192, 487.63475125420},
{ 0.00000000134, 3.86340442367, 104358.72611329758},
{ 0.00000000123, 2.08423913645, 52125.80966124419},
{ 0.00000000122, 5.01127438966, 52595.29092702359},
{ 0.00000000140, 2.08502567831, 119116.85160956658},
{ 0.00000000158, 5.19357058726, 23962.02573419499},
{ 0.00000000134, 6.25970085732, 636.99627202420},
{ 0.00000000135, 0.57090512541, 25936.85547173129},
{ 0.00000000118, 3.30558637192, 1263.15736257819},
{ 0.00000000127, 0.19814904969, 38.13303563780},
{ 0.00000000164, 3.27172225246, 26089.38761428249},
{ 0.00000000131, 3.65063342527, 29550.14784743939},
{ 0.00000000139, 4.69100415119, 2014.98167179780},
{ 0.00000000116, 2.69254429880, 129799.61842155698},
{ 0.00000000159, 0.19389508543, 104347.73123093879},
{ 0.00000000119, 0.49364918929, 78731.67441507700},
{ 0.00000000122, 5.26003763179, 26729.31670331319},
{ 0.00000000115, 1.35337166628, 75615.25459924959},
{ 0.00000000112, 4.26094907654, 102132.85546210999},
{ 0.00000000119, 5.54566614405, 76667.52298243798},
{ 0.00000000135, 1.69822927449, 97580.90196505119},
{ 0.00000000120, 3.20629586215, 76681.75007643958},
{ 0.00000000113, 6.26294483694, 104778.21075717278},
{ 0.00000000127, 0.11236915083, 51528.79544983359},
{ 0.00000000145, 3.61600835664, 52225.80290505260},
{ 0.00000000108, 5.72635533853, 24176.70365835700},
{ 0.00000000132, 1.56301672659, 25939.82441714789},
{ 0.00000000124, 4.17936911601, 25754.04720080480},
{ 0.00000000117, 1.71758893092, 22759.76748529401},
{ 0.00000000111, 3.52660271138, 24356.78078864160},
{ 0.00000000112, 0.28845559419, 209812.60368468695},
{ 0.00000000106, 6.26831675546, 105940.68546158058},
{ 0.00000000104, 1.87785131678, 172402.03644480839},
{ 0.00000000108, 2.96242441236, 1375.77379984580},
{ 0.00000000101, 3.85084997066, 1478.86657406440},
{ 0.00000000114, 5.20579936690, 137678.19129947099},
{ 0.00000000100, 1.55712053447, 25973.50403466079},
{ 0.00000000115, 5.15253758124, 1135.67687189320},
{ 0.00000000101, 0.73572502180, 77630.92568540938},
{ 0.00000000101, 0.25974575144, 160.40736938481},
{ 0.00000000106, 0.03739242592, 180.07713028460},
{ 0.00000000105, 0.00912179296, 13362.44970679920},
{ 0.00000000096, 1.18770041705, 78270.33798362259},
{ 0.00000000125, 4.60962604344, 11610.55195837420},
{ 0.00000000096, 0.48777092970, 107794.18751126219},
{ 0.00000000101, 4.13659062020, 176953.98994186718},
{ 0.00000000099, 1.50710271888, 157057.10981453978},
{ 0.00000000094, 3.53697478079, 26521.61487945100},
{ 0.00000000106, 4.57421536992, 26073.67604757259},
{ 0.00000000091, 3.12915113312, 64901.25971792339},
{ 0.00000000106, 4.04251666854, 27726.97265876220},
{ 0.00000000091, 3.88291208024, 51852.30086649099},
{ 0.00000000087, 5.20300185641, 1485.29070670320},
{ 0.00000000115, 5.97185006663, 24182.43837663380},
{ 0.00000000099, 2.12029899747, 66653.15746634839},
{ 0.00000000094, 2.62091616233, 104275.34649502118},
{ 0.00000000112, 6.04706301250, 49953.94964855139},
{ 0.00000000106, 2.06630121790, 125112.03959948818},
{ 0.00000000083, 3.35095689116, 52325.36948028299},
{ 0.00000000083, 2.82819081777, 214364.55718174578},
{ 0.00000000082, 4.04236392434, 132658.27281205778},
{ 0.00000000102, 4.95574370006, 182085.63102592478},
{ 0.00000000081, 5.45741776539, 78188.92782615528},
{ 0.00000000096, 5.55885300690, 51432.81622261579},
{ 0.00000000090, 1.00092960433, 9745.32055585660},
{ 0.00000000084, 0.11009911861, 53228.07466633679},
{ 0.00000000080, 6.13435930809, 137210.22630911658},
{ 0.00000000080, 2.72523265777, 25042.74830538660},
{ 0.00000000081, 1.88879072729, 128320.75184749259},
{ 0.00000000091, 4.44731219389, 26091.83529483729},
{ 0.00000000078, 4.29086934596, 77101.23472031478},
{ 0.00000000079, 1.07554886014, 50167.24874398939},
{ 0.00000000083, 0.96682340020, 25788.77674730500},
{ 0.00000000077, 3.73919172780, 26222.01219115920},
{ 0.00000000075, 2.88523920506, 53242.30176033840},
{ 0.00000000075, 1.15216528271, 204151.27163553478},
{ 0.00000000104, 4.31779632686, 23888.81579828719},
{ 0.00000000075, 2.56714081506, 19202.75325164339},
{ 0.00000000094, 4.32366559460, 78257.08086582259},
{ 0.00000000088, 3.55952578858, 52381.99183158559},
{ 0.00000000088, 3.52519120352, 60055.89543648739},
{ 0.00000000071, 4.96476508038, 26823.77965510599},
{ 0.00000000077, 5.82847259563, 155571.81910783658},
{ 0.00000000099, 3.23844307345, 28256.66362385679},
{ 0.00000000070, 4.31065427591, 86457.98475793119},
{ 0.00000000076, 2.22271998217, 36109.74042167360},
{ 0.00000000076, 1.00884250882, 25352.02662804239},
{ 0.00000000095, 5.99918199930, 19958.60610206760},
{ 0.00000000080, 1.13460275260, 52290.24557183361},
{ 0.00000000087, 1.31383914626, 26667.59072857300},
{ 0.00000000073, 2.05114043397, 26941.09952332620},
{ 0.00000000075, 1.56761266225, 51653.22886505459},
{ 0.00000000074, 4.24204028736, 130226.21661243298},
{ 0.00000000071, 4.73961301470, 52061.36699446317},
{ 0.00000000095, 1.93406737148, 365230.64398203876},
{ 0.00000000073, 2.96407551460, 25024.58905812189},
{ 0.00000000070, 2.23536123203, 173511.41499690177},
{ 0.00000000069, 2.26111089193, 159.30173479220},
{ 0.00000000076, 5.58932777184, 13675.53025207620},
{ 0.00000000066, 2.59450231797, 27780.06881107659},
{ 0.00000000066, 1.14753207913, 55503.94193942859},
{ 0.00000000075, 4.29563438170, 27311.72098235281},
{ 0.00000000066, 2.92871283816, 23919.14265929160},
{ 0.00000000081, 5.35656494266, 167850.08294774959},
{ 0.00000000065, 1.76581252465, 181026.24909573558},
{ 0.00000000064, 0.55885405924, 34082.43158359840},
{ 0.00000000068, 5.13310648307, 52712.61079524379},
{ 0.00000000063, 3.98734650866, 130432.40216087017},
{ 0.00000000073, 5.05540467899, 27177.61193276780},
{ 0.00000000081, 0.87794410758, 25446.48957983520},
{ 0.00000000072, 2.75418245422, 11.04570026390},
{ 0.00000000071, 6.19433993178, 50064.15596977079},
{ 0.00000000078, 4.91889852543, 77795.74443436819},
{ 0.00000000062, 3.90028384133, 27005.83342755599},
{ 0.00000000085, 3.57336994355, 27037.07875054399},
{ 0.00000000063, 5.38131021751, 51226.63067417859},
{ 0.00000000060, 3.86941305331, 78896.49316403578},
{ 0.00000000084, 3.73808276953, 26308.31578401300},
{ 0.00000000067, 2.33716983257, 78366.80219894118},
{ 0.00000000060, 2.70936065867, 104505.39137678158},
{ 0.00000000058, 4.70485127291, 103.78218858060},
{ 0.00000000058, 4.90593616982, 25508.21555457540},
{ 0.00000000063, 5.19084024444, 76784.84285065818},
{ 0.00000000072, 3.44175435793, 54087.00576636560},
{ 0.00000000066, 2.97381764080, 51969.62073471119},
{ 0.00000000058, 1.54682427778, 182188.72380014337},
{ 0.00000000057, 2.46940249341, 104197.83375581198},
{ 0.00000000065, 5.33114478447, 157586.80077963437},
{ 0.00000000066, 6.05053372563, 647.01083331480},
{ 0.00000000065, 4.63705403958, 61279.71327726600},
{ 0.00000000060, 4.42236493104, 130419.84594697120},
{ 0.00000000056, 4.63022377760, 51329.72344839720},
{ 0.00000000060, 1.90391714646, 102018.41617342478},
{ 0.00000000056, 2.17285982642, 323.50541665740},
{ 0.00000000061, 0.24700789346, 130459.18546877075},
{ 0.00000000054, 1.65192940412, 31415.37924995700},
{ 0.00000000069, 4.68284550055, 77307.42026875199},
{ 0.00000000056, 4.05991604789, 32132.13172294960},
{ 0.00000000054, 2.49487716279, 22625.65843570900},
{ 0.00000000059, 1.82755627609, 183570.92173262799},
{ 0.00000000066, 3.17086218594, 78039.36462902068},
{ 0.00000000052, 2.12945044983, 44295.71712980940},
{ 0.00000000072, 6.17318529798, 25032.45336464809},
{ 0.00000000054, 2.05026185233, 17893.62780836560},
{ 0.00000000051, 2.50572759919, 78903.60671103658},
{ 0.00000000053, 0.21211371229, 2221.85663459700},
{ 0.00000000061, 1.22064448269, 26083.97098831109},
{ 0.00000000064, 2.36532888601, 25953.79409198919},
{ 0.00000000052, 3.92321101844, 123758.29085447139},
{ 0.00000000051, 4.74694757019, 5193.36705879780},
{ 0.00000000051, 2.91556516001, 101011.00013959699},
{ 0.00000000050, 2.62878188924, 78160.61665050399},
{ 0.00000000060, 6.20060892122, 76887.93562487679},
{ 0.00000000066, 3.23190763248, 77726.90491262719},
{ 0.00000000069, 0.82568775458, 22909.75735100660},
{ 0.00000000059, 1.52387880104, 6044.22858137540},
{ 0.00000000051, 1.99922535685, 24448.83362438620},
{ 0.00000000049, 2.99170950627, 52252.07235442399},
{ 0.00000000051, 0.76458856785, 2703.61615467560},
{ 0.00000000049, 3.19808614252, 130652.81480330898},
{ 0.00000000067, 0.59116991791, 94329.77528619739},
{ 0.00000000048, 4.05385765670, 51955.39364070959},
{ 0.00000000054, 1.48701637895, 136722.59155786238},
{ 0.00000000057, 1.10836716608, 26102.13023557580},
{ 0.00000000050, 5.32021242336, 103917.90082841998},
{ 0.00000000056, 1.63440457571, 61.72597474020},
{ 0.00000000057, 1.08524195162, 27972.80430499159},
{ 0.00000000051, 4.31886984362, 58857.03113654799},
{ 0.00000000061, 0.04364409986, 161079.37234650398},
{ 0.00000000046, 2.24836751862, 425.90877651400},
{ 0.00000000049, 5.71448553374, 50380.54783942739},
{ 0.00000000048, 0.40868412712, 27684.08958385880},
{ 0.00000000064, 5.06730157028, 73.29712585900},
{ 0.00000000053, 3.29314433670, 207593.84658050018},
{ 0.00000000052, 4.05836292463, 26010.15259759030},
{ 0.00000000046, 5.69622642147, 129373.02023068098},
{ 0.00000000049, 0.77406531565, 50689.82616208319},
{ 0.00000000047, 4.71730919604, 50903.12525752120},
{ 0.00000000045, 0.16928967852, 24918.31489016559},
{ 0.00000000045, 4.07905982522, 52137.67324751059},
{ 0.00000000055, 1.48552179353, 30171.89164827860},
{ 0.00000000043, 1.05458495911, 51868.24866217880},
{ 0.00000000048, 5.33528588129, 846.08283475120},
{ 0.00000000050, 5.63036834479, 53906.92863608099},
{ 0.00000000043, 0.58293994614, 1243.48760167840},
{ 0.00000000045, 2.34759373560, 129387.24732468258},
{ 0.00000000051, 2.87841847345, 27669.86248985719},
{ 0.00000000042, 2.78081946255, 196137.07343261078},
{ 0.00000000044, 3.49994820098, 26575.53789282839},
{ 0.00000000044, 0.12140582521, 102659.44689679438},
{ 0.00000000045, 2.04695118037, 27573.19384827740},
{ 0.00000000041, 0.47941299466, 78338.49102328988},
{ 0.00000000047, 1.92333552585, 50049.92887576919},
{ 0.00000000045, 4.77215729269, 143005.66740785378},
{ 0.00000000054, 1.46122428139, 28102.88481337200},
{ 0.00000000042, 1.96361292970, 27223.58001346740},
{ 0.00000000041, 2.30268380021, 26709.64694241340},
{ 0.00000000041, 1.92747555556, 3308.46589538040},
{ 0.00000000045, 4.86855086637, 52483.36390411799},
{ 0.00000000043, 0.50216349819, 80174.90890793978},
{ 0.00000000039, 0.91312968484, 112231.70171963578},
{ 0.00000000043, 3.10730855142, 26126.03617721200},
{ 0.00000000053, 5.56781441388, 123200.84011627098},
{ 0.00000000040, 0.92168760069, 50910.23880452200},
{ 0.00000000038, 1.36640441348, 70269.18098269838},
{ 0.00000000043, 2.46038752343, 65831.66677432480},
{ 0.00000000040, 5.66552759512, 52174.32181044009},
{ 0.00000000041, 0.24350307899, 742.99006053260},
{ 0.00000000037, 5.02758418587, 24203.00197815680},
{ 0.00000000050, 4.86639882575, 78153.50310350319},
{ 0.00000000038, 0.49931267586, 103498.41618454478},
{ 0.00000000038, 5.01896816519, 26402.08932144380},
{ 0.00000000044, 2.59329487932, 6720.71397934140},
{ 0.00000000036, 0.09348706711, 26118.23000257860},
{ 0.00000000039, 5.17129107574, 151199.94274106238},
{ 0.00000000038, 5.23608148918, 130289.95251073639},
{ 0.00000000036, 0.02519747828, 2111.65031337760},
{ 0.00000000036, 1.71850590197, 54374.89362643540},
{ 0.00000000045, 4.12023391118, 25227.59321282139},
{ 0.00000000036, 0.13280688272, 27351.06050415239},
{ 0.00000000035, 4.16108423219, 2686.72209454120},
{ 0.00000000035, 5.73702300793, 45290.65639321759},
{ 0.00000000038, 3.17189584793, 78786.28684281638},
{ 0.00000000049, 4.14640458599, 27170.98337386779},
{ 0.00000000038, 5.67662667380, 166740.70439565618},
{ 0.00000000037, 0.76533217080, 16703.06213349900},
{ 0.00000000035, 5.00372443548, 52509.66222391780},
{ 0.00000000042, 1.55456747560, 130443.39704322898},
{ 0.00000000043, 3.12511204668, 91805.13062721379},
{ 0.00000000034, 4.65510552531, 77947.31755506598},
{ 0.00000000034, 3.88709177637, 80382.47328510099},
{ 0.00000000039, 2.12675603585, 3492.57156686960},
{ 0.00000000036, 2.01530773081, 1162.47470440780},
{ 0.00000000033, 0.74851795223, 25985.94062330859},
{ 0.00000000034, 6.26508471441, 202.25339517410},
{ 0.00000000036, 4.68450442674, 123668.80510662538},
{ 0.00000000033, 3.05683945691, 2820.83114412620},
{ 0.00000000039, 2.76389328557, 50270.34151820800},
{ 0.00000000033, 1.78770441039, 19336.86230122839},
{ 0.00000000042, 3.12796548551, 130435.63437251298},
{ 0.00000000035, 4.65699216390, 22003.91463486980},
{ 0.00000000037, 6.01381885159, 26057.57628056979},
{ 0.00000000036, 4.94463357606, 29396.36903695460},
{ 0.00000000041, 5.09084582162, 145204.75475114079},
{ 0.00000000032, 0.94969843186, 78580.10129437919},
{ 0.00000000044, 0.02248588790, 25014.29411738339},
{ 0.00000000031, 6.11767685934, 21716.02677480000},
{ 0.00000000042, 2.27375823663, 25169.97285559240},
{ 0.00000000036, 3.78048388974, 8989.46770543239},
{ 0.00000000031, 3.20777738129, 176332.24614102798},
{ 0.00000000042, 1.80282357417, 103932.12792242158},
{ 0.00000000030, 2.35954766344, 2383.19301477620},
{ 0.00000000034, 5.35878796647, 26189.86565983980},
{ 0.00000000039, 1.48269177389, 4022.26253196420},
{ 0.00000000030, 1.47612019208, 233731.74634397858},
{ 0.00000000035, 0.17499181765, 6129.29703950660},
{ 0.00000000038, 1.08833775351, 25773.71696170459},
{ 0.00000000035, 3.98231389633, 1300.82681820500},
{ 0.00000000030, 4.73794492601, 24072.92146977640},
{ 0.00000000029, 2.49485056149, 102755.42612401219},
{ 0.00000000029, 3.33146370824, 235900.50682626116},
{ 0.00000000030, 0.63651362988, 35077.37084700659},
{ 0.00000000034, 0.04811451681, 52177.29075585669},
{ 0.00000000035, 4.36523032466, 81591.84508100279},
{ 0.00000000035, 0.38273412507, 515.46387109300},
{ 0.00000000040, 3.08977629569, 8014.19820292400},
{ 0.00000000040, 0.60182722935, 24388.62392507099},
{ 0.00000000039, 3.37554049867, 23549.65463732060},
{ 0.00000000038, 4.59287461574, 26076.85744131030},
{ 0.00000000029, 4.79176575333, 28736.35796704720},
{ 0.00000000034, 2.41562403618, 61560.64729122359},
{ 0.00000000028, 1.26404438296, 27044.19229754480},
{ 0.00000000031, 3.42953745446, 24402.85101907260},
{ 0.00000000028, 2.76913598494, 26312.24793727610},
{ 0.00000000029, 3.06982412427, 76041.85279012559},
{ 0.00000000034, 3.23742666170, 28791.51929624980},
{ 0.00000000030, 1.64025002898, 163766.09444104518},
{ 0.00000000028, 0.87242954200, 128220.75860368418},
{ 0.00000000028, 5.09736276985, 78213.71280281838},
{ 0.00000000037, 0.28351092178, 78313.70604662679},
{ 0.00000000038, 4.09691356449, 35833.22369743080},
{ 0.00000000031, 0.65724812619, 1535.97674296940},
{ 0.00000000031, 1.36667591862, 37698.45509994840},
{ 0.00000000027, 0.27133102944, 50444.68393021580},
{ 0.00000000029, 3.19360520586, 23762.95373275860},
{ 0.00000000031, 5.97147065077, 122444.98726584678},
{ 0.00000000029, 2.90797073636, 130866.11389874699},
{ 0.00000000031, 4.69284912548, 27250.37784598199},
{ 0.00000000034, 4.72391913604, 22065.64060961000},
{ 0.00000000028, 3.80715503127, 24513.05734029200},
{ 0.00000000032, 4.51091012068, 3776.43088573480},
{ 0.00000000027, 1.41755601588, 52161.57918914679},
{ 0.00000000034, 2.44729988472, 23336.35554188260},
{ 0.00000000031, 6.18521142908, 102769.65321801379},
{ 0.00000000026, 5.33349284702, 199599.31813847595},
{ 0.00000000031, 4.33951803932, 52286.01260436779},
{ 0.00000000026, 2.51322393927, 1353.74874501680},
{ 0.00000000026, 0.99927277404, 1322.67764753140},
{ 0.00000000029, 4.43628976720, 25450.90686955000},
{ 0.00000000027, 2.91198700644, 132028.58860315479},
{ 0.00000000026, 2.03567536503, 52817.21984488739},
{ 0.00000000027, 3.39103592839, 104819.57755665119},
{ 0.00000000025, 1.75972456058, 78683.19406859778},
{ 0.00000000026, 5.30421942727, 24864.08530079559},
{ 0.00000000026, 5.36078058708, 412.37109687440},
{ 0.00000000026, 2.07200432690, 25004.82290928060},
{ 0.00000000026, 5.53069670975, 25657.37279743509},
{ 0.00000000031, 4.78180598437, 75930.51303185058},
{ 0.00000000033, 5.22716597630, 81604.32185142238},
{ 0.00000000032, 2.69632977953, 25647.07785669659},
{ 0.00000000025, 3.50647425364, 15406.65260500879},
{ 0.00000000032, 5.18753945619, 2008.55753915900},
{ 0.00000000026, 1.17353987461, 153084.84390447979},
{ 0.00000000034, 2.39619895259, 39763.43339365039},
{ 0.00000000025, 3.04307664595, 26724.89941359840},
{ 0.00000000030, 4.90635260381, 116783.65521669458},
{ 0.00000000025, 1.59985699911, 31281.27020037200},
{ 0.00000000027, 5.86374680669, 5815.11085963699},
{ 0.00000000030, 1.12362303179, 625.67019231240},
{ 0.00000000025, 0.50599655672, 130446.62925487179},
{ 0.00000000024, 3.36738491746, 133882.09065283638},
{ 0.00000000025, 1.23585314301, 53.09615231440},
{ 0.00000000026, 1.21618229660, 49976.71893986139},
{ 0.00000000023, 4.72011826154, 198489.93958638258},
{ 0.00000000026, 0.93376725671, 158746.17595363196},
{ 0.00000000029, 2.71422590007, 25600.26839032000},
{ 0.00000000023, 1.46742391676, 1272.68102562720},
{ 0.00000000030, 4.64969871478, 52027.72755872209},
{ 0.00000000023, 0.95810401383, 28774.62523611540},
{ 0.00000000032, 3.69056811040, 52024.75861330549},
{ 0.00000000031, 3.86645564887, 25466.15934073500},
{ 0.00000000024, 3.15839525203, 77616.69859140778},
{ 0.00000000026, 3.93909230070, 80596.90581759460},
{ 0.00000000024, 1.30934055878, 163298.12945069079},
{ 0.00000000023, 5.77389485042, 240452.46032331996},
{ 0.00000000022, 1.95823889628, 177287.84588263658},
{ 0.00000000022, 6.04180912528, 50007.04580086580},
{ 0.00000000022, 2.96772486295, 12546.48193908300},
{ 0.00000000022, 3.02308458897, 39450.35284837340},
{ 0.00000000026, 0.28424456166, 1265.56747862640},
{ 0.00000000021, 6.03673087116, 27463.67694142000},
{ 0.00000000021, 1.44442495819, 5687.63036895200},
{ 0.00000000021, 0.22636621533, 52609.51802102519},
{ 0.00000000021, 4.08328280632, 104358.24112519680},
{ 0.00000000021, 3.98455360039, 6191.02301424680},
{ 0.00000000028, 0.93280167770, 51841.95034237900},
{ 0.00000000020, 4.59350193239, 52061.40717623499},
{ 0.00000000021, 5.71487101033, 2840.50090502600},
{ 0.00000000023, 0.43226688693, 24285.53115085240},
{ 0.00000000021, 1.98572602434, 7392.45440208480},
{ 0.00000000024, 0.82344555863, 2698.45144737720},
{ 0.00000000020, 5.43337501787, 1485.98012106520},
{ 0.00000000025, 5.01531560459, 101703.15774082378},
{ 0.00000000020, 3.31281154655, 26248.31051095900},
{ 0.00000000024, 3.19969282574, 47803.92991637420},
{ 0.00000000020, 5.21639602111, 76137.83201734339},
{ 0.00000000020, 5.58624181701, 155887.52156313117},
{ 0.00000000021, 3.09198846094, 26267.98027185880},
{ 0.00000000025, 5.43422956232, 2.96894541660},
{ 0.00000000022, 0.58074025919, 25672.35065096209},
{ 0.00000000026, 1.34785586419, 309.27832265580},
{ 0.00000000021, 6.10721760956, 24824.74577899600},
{ 0.00000000020, 2.62628682595, 164.43591058941},
{ 0.00000000020, 1.38930287323, 952.07662325960},
{ 0.00000000019, 3.02128285607, 9123.57675501740},
{ 0.00000000020, 0.47663702299, 203041.89308344138},
{ 0.00000000021, 4.32357573082, 183145.01295611398},
{ 0.00000000022, 1.67611192774, 23113.29318696320},
{ 0.00000000020, 0.68567124507, 42.88307490340},
{ 0.00000000027, 1.27457872442, 7860.41939243920},
{ 0.00000000025, 3.05401652463, 76152.05911134499},
{ 0.00000000025, 4.23522536960, 24952.22626968100},
{ 0.00000000021, 3.62099370643, 5635.03372935240},
{ 0.00000000021, 4.44062433316, 25862.07387316400},
{ 0.00000000020, 2.13621746848, 26.29831979980},
{ 0.00000000019, 4.16952441021, 24602.61243487099},
{ 0.00000000021, 3.90484373725, 51534.39272140940},
{ 0.00000000026, 2.47222104372, 25665.23710396129},
{ 0.00000000025, 5.79456184716, 26098.94884183810},
{ 0.00000000019, 4.95422682882, 209658.82487420218},
{ 0.00000000021, 2.28837738298, 25865.04281858059},
{ 0.00000000018, 0.50891176228, 52309.91533273340},
{ 0.00000000019, 5.79715725254, 26279.35140768579},
{ 0.00000000025, 4.73465324099, 391318.54712361297},
{ 0.00000000019, 1.23662681079, 52179.73843641149},
{ 0.00000000018, 1.52837590084, 107.30530692960},
{ 0.00000000019, 0.76735048216, 52396.21892558720},
{ 0.00000000019, 1.55096040730, 148.07872442630},
{ 0.00000000021, 6.27787013701, 54344.56676543099},
{ 0.00000000025, 5.13456064718, 12382.04602849360},
{ 0.00000000022, 4.76661068718, 48847.67062686820},
{ 0.00000000019, 5.02228884604, 26114.20146137400},
{ 0.00000000018, 2.45809868831, 50264.60679993120},
{ 0.00000000022, 3.85509627645, 6885.14988993081},
{ 0.00000000020, 0.64660197557, 77940.20400806518},
{ 0.00000000020, 2.79332004367, 25927.49577218939},
{ 0.00000000018, 5.83348216244, 293.41078437720},
{ 0.00000000023, 4.64720241213, 112545.88789950538},
{ 0.00000000018, 0.60198526172, 27566.76971563859},
{ 0.00000000020, 2.63916620118, 7768.36655669460},
{ 0.00000000020, 0.71397154242, 959.12285995760},
{ 0.00000000019, 1.79653943961, 89.48574784600},
{ 0.00000000021, 1.51443251611, 208173.53416749898},
{ 0.00000000021, 4.16640140039, 2125.87740737920},
{ 0.00000000018, 1.11242384108, 87367.61641884019},
{ 0.00000000020, 5.93006048006, 11852.35506339900},
{ 0.00000000017, 3.93966914970, 25459.05155552409},
{ 0.00000000023, 2.99103906198, 23446.56186310200},
{ 0.00000000018, 0.74408260155, 1795.25844372100},
{ 0.00000000020, 0.59479884317, 95.97922721780},
{ 0.00000000021, 1.90510484926, 193937.98608932378},
{ 0.00000000021, 3.01566725550, 25907.82601128960},
{ 0.00000000018, 3.09035824301, 838.96928775040},
{ 0.00000000017, 6.26002814839, 233681.74972207438},
{ 0.00000000016, 1.73589266057, 52911.68279668019},
{ 0.00000000017, 4.10264599764, 189386.03259226495},
{ 0.00000000021, 0.43840312896, 55638.05098901359},
{ 0.00000000016, 2.13276366606, 16342.58258571760},
{ 0.00000000019, 5.53134137122, 9591.54174537180},
{ 0.00000000016, 1.15891409897, 237009.88537835456},
{ 0.00000000016, 2.62905988628, 191.44826611160},
{ 0.00000000016, 4.36751801210, 120417.67842777158},
{ 0.00000000020, 1.12978867673, 25650.25925043430},
{ 0.00000000016, 4.29882054111, 76255.15188556358},
{ 0.00000000016, 1.14702353715, 53399.62412392700},
{ 0.00000000016, 3.57235087963, 103718.82882698359},
{ 0.00000000017, 5.76960454227, 51130.65144696079},
{ 0.00000000016, 4.53670173929, 2667.05233364140},
{ 0.00000000021, 0.46791872189, 19367.18916223280},
{ 0.00000000018, 5.19929902272, 2544.67263689240},
{ 0.00000000015, 3.98281479283, 230239.17477710896},
{ 0.00000000017, 4.87067876483, 45424.76544280259},
{ 0.00000000015, 0.79205322004, 25928.60140678200},
{ 0.00000000017, 2.81666385261, 102975.83876645098},
{ 0.00000000015, 4.52789927390, 25984.12095299360},
{ 0.00000000020, 5.26775931269, 60370.08161635699},
{ 0.00000000016, 0.88949240489, 156314.11975400719},
{ 0.00000000015, 3.38506105616, 129586.31932611899},
{ 0.00000000019, 5.28475048168, 154408.65498906678},
{ 0.00000000015, 4.71428343288, 2974.60995461100},
{ 0.00000000018, 4.01766399485, 51876.67988887919},
{ 0.00000000015, 0.63968350199, 53093.73656913019},
{ 0.00000000020, 5.58915267196, 1423.56473196300},
{ 0.00000000015, 3.27898899275, 117893.03376878797},
{ 0.00000000016, 0.20415665801, 41494.55574658299},
{ 0.00000000017, 1.85003466180, 102872.74599223239},
{ 0.00000000015, 1.38086670918, 77417.62658997139},
{ 0.00000000016, 2.32863321036, 181659.72224941078},
{ 0.00000000017, 5.37350443158, 25384.26995695679},
{ 0.00000000020, 3.62690837800, 48997.66049258080},
{ 0.00000000015, 3.10421184998, 128747.35003836859},
{ 0.00000000018, 4.06067303164, 51439.92976961659},
{ 0.00000000016, 2.42412026249, 128106.31931499895},
{ 0.00000000017, 1.33866516494, 103395.32341032618},
{ 0.00000000016, 3.64720066701, 24072.23205541439},
{ 0.00000000015, 2.96793644807, 24719.24288872919},
{ 0.00000000014, 2.19807995874, 50951.98844236979},
{ 0.00000000014, 1.98624084691, 225687.22128005016},
{ 0.00000000014, 5.35774038541, 896.07945665540},
{ 0.00000000014, 4.49215712633, 57503.28239153120},
{ 0.00000000017, 0.94769327499, 104344.98400739678},
{ 0.00000000014, 2.61818604050, 151.04766984290},
{ 0.00000000014, 2.15994876258, 104276.83096772949},
{ 0.00000000019, 4.61702547610, 16028.39640584800},
{ 0.00000000014, 4.46499375434, 208276.62694171758},
{ 0.00000000014, 5.03809675504, 53029.00266490040},
{ 0.00000000014, 3.98620415374, 263097.78851992876},
{ 0.00000000016, 2.13499283716, 78129.60037513758},
{ 0.00000000016, 1.96317271676, 183674.70392120858},
{ 0.00000000014, 0.54684500137, 138319.60486120995},
{ 0.00000000016, 2.76397470223, 46046.50924364180},
{ 0.00000000014, 5.52483338141, 130363.24963659538},
{ 0.00000000013, 0.79709975404, 78225.57638908479},