-
Notifications
You must be signed in to change notification settings - Fork 0
Expand file tree
/
Copy pathindex.html
More file actions
1280 lines (1158 loc) · 124 KB
/
Copy pathindex.html
File metadata and controls
1280 lines (1158 loc) · 124 KB
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
<!DOCTYPE html><html lang="en" class="h-100">
<head>
<!-- Global site tag (gtag.js) - Google Analytics -->
<script async src="https://www.googletagmanager.com/gtag/js?id=UA-10342752-2"></script>
<script>
window.dataLayer = window.dataLayer || [];
function gtag() {
dataLayer.push(arguments);
}
gtag('js', new Date());
gtag('config', 'UA-10342752-2');
</script>
<script src="https://d3js.org/d3.v6.min.js"></script>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8" /> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no">
<link href="favicon.png" type="image/x-icon" rel="icon"/><link href="favicon.png" type="image/x-icon" rel="shortcut icon"/><link rel="stylesheet" type="text/css" href="css/bootstrap.min.css"/><link rel="stylesheet" type="text/css" href="css/fontawesome.all.min.css"/><link rel="stylesheet" type="text/css" href="css/select2.min.css"/><link rel="stylesheet" type="text/css" href="css/cake.generic.css"/><link rel="stylesheet" type="text/css" href="css/deprecated.css"/><link rel="stylesheet" type="text/css" href="css/damit.css"/><script type="text/javascript" src="js/jquery.min.js"></script><script type="text/javascript" src="js/damit-jquery.js"></script><script type="text/javascript" src="js/select2.min.js"></script> <title>Model 103 - (3) Juno - DAMIT</title>
</head>
<body class="d-flex flex-column h-100">
<header>
<nav class="navbar fixed-top navbar-expand-md navbar-light bg-light border-bottom w-100">
<a class="navbar-brand" href="">
<img src="img/damit_logo.png" width="35.333333" height="20" class="align-text-bottom" alt=""/> <span class="ml-1">DAMIT</span>
</a>
<button class="navbar-toggler" type="button" data-toggle="collapse" data-target="#navbarSupportedContent" aria-controls="navbarSupportedContent" aria-expanded="false" aria-label="Toggle navigation">
<span class="navbar-toggler-icon"></span>
</button>
<div class="collapse navbar-collapse" id="navbarSupportedContent">
<ul class="navbar-nav mr-auto">
<li class="nav-item"><a href="asteroids/browse" class="nav-link">Models</a></li>
<li class="nav-item"><a href="asteroids/browse/tumblers" class="nav-link">Tumblers</a></li>
<li class="nav-item dropdown">
<a class="nav-link dropdown-toggle" href="#" id="navbarDropdown_Tables" role="button" data-toggle="dropdown" aria-haspopup="true" aria-expanded="false">Tables</a>
<div class="dropdown-menu" aria-labelledby="navbarDropdown_Tables">
<a href="asteroids" class="dropdown-item">Asteroids</a> <a href="asteroid_models" class="dropdown-item">Models</a> <a href="tumblers" class="dropdown-item">Tumblers</a> <a href="references" class="dropdown-item">References</a> </div>
</li>
<li class="nav-item"><a href="exports" class="nav-link">Export</a></li>
<li class="nav-item"><a href="pages/documentation" class="nav-link">Documentation</a></li>
<li class="nav-item dropdown">
<a class="nav-link dropdown-toggle" href="#" id="navbarDropdown_More" role="button" data-toggle="dropdown" aria-haspopup="true" aria-expanded="false">More</a>
<div class="dropdown-menu" aria-labelledby="navbarDropdown_More">
<a href="pages/software_download" class="dropdown-item">Software download</a> <a href="pages/links" class="dropdown-item">Links</a>
<div class="dropdown-divider"></div>
<h6 class="dropdown-header">Help</h6>
<a href="pages/about_damit" class="dropdown-item">About DAMIT</a> <a href="pages/release_notes" class="dropdown-item">Release notes</a> </div>
</li>
</ul>
<ul class="navbar-nav">
</ul>
</div>
</nav>
</header>
<main role="main">
<div class="container-fluid py-3">
<h1>
(3) Juno – Model 103</h1>
<div class="container-fluid">
<div class="row">
<div class="col-lg-5">
<div class="card my-3 border-0">
<div class="card-title border-bottom d-flex">
<h5 class="mb-0 mr-4">Details</h5>
</div>
<div class="table-responsive">
<table class="table table-sm table-borderless m-0 damit-table-compact">
<tbody>
<tr>
<th class="text-nowrap text-right text-secondary font-weight-normal" scope="row">
<span class="damit-cursor-help" data-toggle="popover" data-placement="top" data-trigger="hover" data-html="true" title="ID" data-content="Unique identifier of the row in the table.">
ID </span>
</th>
<td class="w-100 pl-3">103</td>
</tr>
<tr>
<th class="text-nowrap text-right text-secondary font-weight-normal" scope="row">
<span class="damit-cursor-help" data-toggle="popover" data-placement="top" data-trigger="hover" data-html="true" title="Asteroid ID" data-content="Foreign key: The ID of the asteroid to which this model belongs.">
Asteroid </span>
</th>
<td class="w-100 pl-3"><a href="asteroids/view/102">(3) Juno</a></td>
</tr>
<tr>
<th class="text-nowrap text-right text-secondary font-weight-normal" scope="row">
<span class="damit-cursor-help" data-toggle="popover" data-placement="top" data-trigger="hover" data-html="true" title="Lambda" data-content="Ecliptic longitude of the spin axis (J2000.0, degrees).">
<span class="damit-math"><var>λ</var></span> </span>
</th>
<td class="w-100 pl-3">103</td>
</tr>
<tr>
<th class="text-nowrap text-right text-secondary font-weight-normal" scope="row">
<span class="damit-cursor-help" data-toggle="popover" data-placement="top" data-trigger="hover" data-html="true" title="Beta" data-content="Ecliptic latitude of the spin axis (J2000.0, degrees).">
<span class="damit-math"><var>β</var></span> </span>
</th>
<td class="w-100 pl-3">27</td>
</tr>
<tr>
<th class="text-nowrap text-right text-secondary font-weight-normal" scope="row">
<span class="damit-cursor-help" data-toggle="popover" data-placement="top" data-trigger="hover" data-html="true" title="Period" data-content="Sidereal rotation period (hours).">
<span class="damit-math"><var>P </var></span> </span>
</th>
<td class="w-100 pl-3">7.209531</td>
</tr>
<tr>
<th class="text-nowrap text-right text-secondary font-weight-normal" scope="row">
<span class="damit-cursor-help" data-toggle="popover" data-placement="top" data-trigger="hover" data-html="true" title="YORP" data-content="Linear change in the rotation rate <span class="damit-math">d<var>ω</var>/d<var>t</var></span> caused by the Yarkovsky-O'Keefe-Radzievskii-Paddack effect (rad/day<sup>2</sup>).">
YORP </span>
</th>
<td class="w-100 pl-3"></td>
</tr>
<tr>
<th class="text-nowrap text-right text-secondary font-weight-normal" scope="row">
<span class="damit-cursor-help" data-toggle="popover" data-placement="top" data-trigger="hover" data-html="true" title="JD0" data-content="Initial time (Julian date epoch).">
<span class="damit-math"><var>t</var><sub>0</sub></span> </span>
</th>
<td class="w-100 pl-3">2434752.8</td>
</tr>
<tr>
<th class="text-nowrap text-right text-secondary font-weight-normal" scope="row">
<span class="damit-cursor-help" data-toggle="popover" data-placement="top" data-trigger="hover" data-html="true" title="Phi0" data-content="Initial rotation angle for <span class="damit-math"><var>t</var><sub>0</sub></span> (degrees).">
<span class="damit-math"><var>φ</var><sub>0</sub></span> </span>
</th>
<td class="w-100 pl-3">0</td>
</tr>
<tr>
<th class="text-nowrap text-right text-secondary font-weight-normal" scope="row">
<span class="damit-cursor-help" data-toggle="popover" data-placement="top" data-trigger="hover" data-html="true" title="Light Scattering Model" data-content="Used light-scattering model (LSM): LSL = Lambert + Lommel-Seeliger; H = Hapke.">
Light Scattering Model </span>
</th>
<td class="w-100 pl-3">LSL</td>
</tr>
<tr>
<th class="text-nowrap text-right text-secondary font-weight-normal" scope="row">
<span class="damit-cursor-help" data-toggle="popover" data-placement="top" data-trigger="hover" data-html="true" title="LSM Parameter 1" data-content="Lambertian part of LSL. | Single-particle scattering albedo <span class="damit-math"><var>w</var></span> for H.">
<span class="damit-math"><var>p</var><sub>1</sub></span> </span>
</th>
<td class="w-100 pl-3">0.1</td>
</tr>
<tr>
<th class="text-nowrap text-right text-secondary font-weight-normal" scope="row">
<span class="damit-cursor-help" data-toggle="popover" data-placement="top" data-trigger="hover" data-html="true" title="LSM Parameter 2" data-content="Amplitude <span class="damit-math"><var>a</var></span> of the phase angle function for LSL. | Asymmetry parameter of the single-particle phase function <span class="damit-math"><var>g</var></span> for H.">
<span class="damit-math"><var>p</var><sub>2</sub></span> </span>
</th>
<td class="w-100 pl-3"></td>
</tr>
<tr>
<th class="text-nowrap text-right text-secondary font-weight-normal" scope="row">
<span class="damit-cursor-help" data-toggle="popover" data-placement="top" data-trigger="hover" data-html="true" title="LSM Parameter 3" data-content="Width <span class="damit-math"><var>d</var></span> of the phase angle function for LSL. | Opposition surge amplitude <span class="damit-math"><var>B</var><sub>0</sub></span> for H.">
<span class="damit-math"><var>p</var><sub>3</sub></span> </span>
</th>
<td class="w-100 pl-3"></td>
</tr>
<tr>
<th class="text-nowrap text-right text-secondary font-weight-normal" scope="row">
<span class="damit-cursor-help" data-toggle="popover" data-placement="top" data-trigger="hover" data-html="true" title="LSM Parameter 4" data-content="Slope <span class="damit-math"><var>k</var></span> of the phase angle function for LSL. | Opposition surge width <span class="damit-math"><var>h</var></span> for H.">
<span class="damit-math"><var>p</var><sub>4</sub></span> </span>
</th>
<td class="w-100 pl-3"></td>
</tr>
<tr>
<th class="text-nowrap text-right text-secondary font-weight-normal" scope="row">
<span class="damit-cursor-help" data-toggle="popover" data-placement="top" data-trigger="hover" data-html="true" title="LSM Parameter 5" data-content="Not used for LSL. | Macroscopic roughness <span class="damit-math"><var>θ</var><sub>0</sub></span> for H.">
<span class="damit-math"><var>p</var><sub>5</sub></span> </span>
</th>
<td class="w-100 pl-3"></td>
</tr>
<tr>
<th class="text-nowrap text-right text-secondary font-weight-normal" scope="row">
<span class="damit-cursor-help" data-toggle="popover" data-placement="top" data-trigger="hover" data-html="true" title="Calibrated Size" data-content="1 (Yes) = the model is scaled to its real size (in km), 0 (No) = the model is scaled to unit volume.">
Calibrated Size </span>
</th>
<td class="w-100 pl-3">1 (Yes)</td>
</tr>
<tr>
<th class="text-nowrap text-right text-secondary font-weight-normal" scope="row">
<span class="damit-cursor-help" data-toggle="popover" data-placement="top" data-trigger="hover" data-html="true" title="Equivalent Diameter" data-content="Diameter of a sphere that has the same volume as the model (km).">
<span class="damit-math"><var>D</var></span> </span>
</th>
<td class="w-100 pl-3">252</td>
</tr>
<tr>
<th class="text-nowrap text-right text-secondary font-weight-normal" scope="row">
<span class="damit-cursor-help" data-toggle="popover" data-placement="top" data-trigger="hover" data-html="true" title="Equivalent Diameter Error" data-content="Estimated error of the equivalent diameter (km).">
<span class="damit-math"><var>σ</var><sub><var>D</var></sub></span> </span>
</th>
<td class="w-100 pl-3">29</td>
</tr>
<tr>
<th class="text-nowrap text-right text-secondary font-weight-normal" scope="row">
<span class="damit-cursor-help" data-toggle="popover" data-placement="top" data-trigger="hover" data-html="true" title="Thermal Inertia" data-content="Thermal inertia (<span class="damit-math">J m<sup>−2</sup> s<sup>1/2</sup> K<sup>−1</sup></span>).">
<span class="damit-math">Γ</span> </span>
</th>
<td class="w-100 pl-3"></td>
</tr>
<tr>
<th class="text-nowrap text-right text-secondary font-weight-normal" scope="row">
<span class="damit-cursor-help" data-toggle="popover" data-placement="top" data-trigger="hover" data-html="true" title="Thermal Inertia Min" data-content="Lower limit for <span class="damit-math">Γ</span> – estimation of the uncertainty interval.">
<span class="damit-math">Γ<sub>min</sub></span> </span>
</th>
<td class="w-100 pl-3"></td>
</tr>
<tr>
<th class="text-nowrap text-right text-secondary font-weight-normal" scope="row">
<span class="damit-cursor-help" data-toggle="popover" data-placement="top" data-trigger="hover" data-html="true" title="Thermal Inertia Max" data-content="Upper limit for <span class="damit-math">Γ</span> – estimation of the uncertainty interval.">
<span class="damit-math">Γ<sub>max</sub></span> </span>
</th>
<td class="w-100 pl-3"></td>
</tr>
<tr>
<th class="text-nowrap text-right text-secondary font-weight-normal" scope="row">
<span class="damit-cursor-help" data-toggle="popover" data-placement="top" data-trigger="hover" data-html="true" title="Visual Albedo" data-content="Visual geometric albedo.">
<span class="damit-math"><var>p</var><sub>V</sub></span> </span>
</th>
<td class="w-100 pl-3"></td>
</tr>
<tr>
<th class="text-nowrap text-right text-secondary font-weight-normal" scope="row">
<span class="damit-cursor-help" data-toggle="popover" data-placement="top" data-trigger="hover" data-html="true" title="Visual Albedo Error" data-content="Error of the visual geometric albedo.">
<span class="damit-math"><var>σ</var><sub><var>p</var><sub>V</sub></sub></span> </span>
</th>
<td class="w-100 pl-3"></td>
</tr>
<tr>
<th class="text-nowrap text-right text-secondary font-weight-normal" scope="row">
<span class="damit-cursor-help" data-toggle="popover" data-placement="top" data-trigger="hover" data-html="true" title="Craters Angle" data-content="Opening angle of craters (deg) – for describing the surface roughness.">
<span class="damit-math"><var>γ</var><sub>c</sub></span> </span>
</th>
<td class="w-100 pl-3"></td>
</tr>
<tr>
<th class="text-nowrap text-right text-secondary font-weight-normal" scope="row">
<span class="damit-cursor-help" data-toggle="popover" data-placement="top" data-trigger="hover" data-html="true" title="Craters Surface Density" data-content="Areal density of craters – for describing the sufrace roughness.">
<span class="damit-math"><var>ϱ</var><sub>c</sub></span> </span>
</th>
<td class="w-100 pl-3"></td>
</tr>
<tr>
<th class="text-nowrap text-right text-secondary font-weight-normal" scope="row">
<span class="damit-cursor-help" data-toggle="popover" data-placement="top" data-trigger="hover" data-html="true" title="Quality Flag" data-content="Reliability of the model; 0 for lowest, 5 for highest.">
Quality Flag </span>
</th>
<td class="w-100 pl-3"></td>
</tr>
<tr>
<th class="text-nowrap text-right text-secondary font-weight-normal" scope="row">
<span class="damit-cursor-help" data-toggle="popover" data-placement="top" data-trigger="hover" data-html="true" title="Nonconvex" data-content="1 (Yes) = the model is nonconvex; 0 (No) = the model is convex.">
Nonconvex </span>
</th>
<td class="w-100 pl-3">0 (No)</td>
</tr>
<tr>
<th class="text-nowrap text-right text-secondary font-weight-normal" scope="row">
<span class="damit-cursor-help" data-toggle="popover" data-placement="top" data-trigger="hover" data-html="true" title="Version" data-content="Model version, usually in the form of a date YYYY-MM-DD.">
Version </span>
</th>
<td class="w-100 pl-3">2011-03-26</td>
</tr>
<tr>
<th class="text-nowrap text-right text-secondary font-weight-normal" scope="row">
<span class="damit-cursor-help" data-toggle="popover" data-placement="top" data-trigger="hover" data-html="true" title="Comment" data-content="Additional free-text information.">
Comment </span>
</th>
<td class="w-100 pl-3"></td>
</tr>
<tr>
<th class="text-nowrap text-right text-secondary font-weight-normal" scope="row">
<span class="damit-cursor-help" data-toggle="popover" data-placement="top" data-trigger="hover" data-html="true" title="Created" data-content="Timestamp of the creation of the record.">
Created </span>
</th>
<td class="w-100 pl-3"></td>
</tr>
<tr>
<th class="text-nowrap text-right text-secondary font-weight-normal" scope="row">
<span class="damit-cursor-help" data-toggle="popover" data-placement="top" data-trigger="hover" data-html="true" title="Modified" data-content="Timestamp of the last modification of the record.">
Modified </span>
</th>
<td class="w-100 pl-3">2011-04-11 11:13:18</td>
</tr>
</tbody>
</table>
</div>
</div>
</div>
<div class="col-lg-7">
<script>
var vertexes = [[44.019230, 23.254787, 101.506337], [43.969468, 23.630339, 101.474449], [24.595321, 43.004487, 101.474449], [20.216045, 43.584978, 101.848579], [20.216045, 23.254787, 103.850847], [19.653833, 22.692576, 103.850847], [18.150203, 45.845400, 101.422452], [7.523436, 44.436623, 100.514546], [-14.220407, 22.692576, 100.514546], [18.182294, -22.999272, 99.205699], [19.653833, -17.130989, 99.928571], [-24.845549, 20.028369, 99.205699], [48.842304, 12.057685, 99.928571], [49.644999, 18.113033, 100.445895], [61.271071, 18.113033, 96.919279], [51.892625, 40.754423, 96.919279], [49.067148, 41.899563, 97.632401], [43.862835, 47.103876, 97.632401], [40.043739, 47.315111, 98.225689], [23.611451, 54.121564, 98.225689], [18.150203, 54.536723, 98.785869], [13.224965, 60.265468, 96.429375], [-1.885274, 59.116875, 94.879029], [-19.274012, 51.914154, 94.879029], [-35.656132, 51.007466, 92.334658], [-27.277397, 20.980757, 98.649175], [-25.289144, 20.028369, 99.132782], [-42.268410, 53.678579, 89.993194], [-51.835750, 49.801393, 87.578204], [-63.773598, 20.980757, 87.578204], [-69.882973, 18.387029, 85.399027], [-44.371421, -43.203331, 85.399027], [-43.079432, -43.727154, 85.725223], [-38.663596, -48.142990, 85.725223], [17.860973, -32.370406, 97.612090], [18.182294, -31.699531, 97.775188], [-35.390462, -56.219089, 83.686598], [16.163168, -77.573366, 83.686598], [17.860973, -73.574313, 85.113046], [60.941625, -55.729591, 85.113046], [63.346663, -49.794891, 86.610990], [60.845960, -43.604475, 88.803167], [61.430107, -33.053265, 90.441866], [75.146598, 0.061544, 90.441866], [75.655595, 6.758722, 91.128991], [63.598317, 17.125101, 96.089164], [81.977627, 6.758722, 87.749833], [74.986141, 32.851375, 87.749833], [70.178504, 35.690460, 89.912965], [65.983653, 39.793709, 90.992906], [60.851444, 41.060309, 92.987050], [47.261491, 54.650262, 92.987050], [44.144550, 55.355666, 94.010526], [40.399386, 59.184308, 93.024829], [38.234223, 59.304347, 93.361180], [13.224965, 66.005588, 93.361180], [12.222206, 67.738937, 92.290989], [4.928084, 75.550382, 87.071036], [-0.720026, 75.155128, 86.473281], [-27.153093, 68.072445, 86.473281], [-42.730487, 67.209629, 84.054229], [-48.756587, 71.710163, 79.586193], [-58.731977, 69.452584, 76.310623], [-77.506947, 50.677614, 76.310623], [-86.261640, 48.517122, 72.908920], [-76.158900, 20.013136, 82.391359], [-71.003130, 18.387029, 84.914201], [-93.379461, 48.873379, 69.053264], [-96.222812, 47.194260, 67.773868], [-103.506169, 20.012933, 67.773868], [-104.386655, 19.503530, 67.230343], [-104.212792, 17.018671, 66.967314], [-90.965894, -32.419559, 66.967314], [-89.348724, -33.374384, 67.694858], [-78.122577, -44.355579, 70.585127], [-77.388127, -47.600684, 69.519404], [-36.492340, -88.496471, 69.519404], [-36.226061, -89.575803, 69.099979], [-29.007700, -96.955434, 67.200282], [15.610503, -81.141416, 82.043227], [16.163168, -79.389381, 82.900558], [-27.986051, -98.685331, 66.421758], [8.598299, -108.488076, 66.421758], [13.715274, -108.846161, 66.963252], [15.610503, -106.816473, 68.319627], [18.887902, -106.587161, 67.972917], [56.047666, -96.630051, 67.972917], [57.563687, -94.062728, 69.128009], [61.729087, -89.804506, 70.224199], [62.059142, -88.467020, 70.743960], [94.781744, -55.744418, 70.743960], [91.044502, -50.740373, 74.453985], [91.329466, -45.597603, 75.252617], [101.162882, -8.898291, 75.252617], [101.188474, -8.534113, 75.291208], [89.423879, 2.451144, 83.152822], [111.369412, -8.534113, 66.935832], [105.117452, 22.896702, 66.935832], [99.057027, 27.711245, 71.123574], [98.582153, 27.813613, 71.496486], [88.608388, 32.282664, 77.908700], [72.416584, 56.515430, 77.908700], [70.863597, 57.202757, 78.721550], [67.369682, 56.123832, 81.853724], [66.656356, 56.296476, 82.132596], [39.769946, 74.261440, 82.132596], [38.448912, 77.209393, 80.237570], [38.394275, 77.463078, 80.038115], [36.504327, 79.842117, 78.394135], [4.928084, 86.123121, 78.394135], [-1.935646, 94.867659, 70.097254], [-6.673616, 99.110241, 65.842079], [-45.611210, 91.365213, 65.842079], [-47.942925, 91.200084, 65.506134], [-54.798327, 96.108261, 58.454323], [-90.638072, 72.160866, 58.454323], [-95.261082, 71.041521, 56.647042], [-96.667016, 71.475569, 55.386535], [-99.987677, 70.006265, 53.648311], [-115.775494, 46.377957, 53.648311], [-116.968365, 45.843572, 52.881567], [-107.763172, 20.350706, 64.597618], [-119.655524, 45.264503, 50.770838], [-120.389567, 44.681168, 50.263467], [-125.229295, 20.350706, 50.263467], [-125.914592, 19.812665, 49.613308], [-125.554679, 14.997716, 49.122795], [-118.233340, -21.808838, 49.122795], [-118.121832, -23.383151, 48.895920], [-110.563666, -31.601225, 52.809260], [-110.018517, -33.999763, 52.023423], [-80.066349, -78.826357, 52.023423], [-80.039538, -78.838138, 52.037438], [-67.875221, -91.002455, 52.037438], [-64.022409, -91.935343, 53.543709], [-33.256782, -112.492206, 53.543709], [-27.353564, -113.833957, 55.477935], [-23.182070, -117.670521, 53.491509], [-17.872140, -118.046479, 54.256425], [5.063965, -122.608758, 54.256425], [12.607304, -123.172797, 55.024794], [13.715274, -122.180600, 56.020038], [20.049087, -121.706945, 55.374755], [46.299761, -116.485368, 55.374755], [50.642070, -116.177858, 54.749376], [55.414975, -111.788224, 57.021985], [61.737211, -110.351416, 54.950456], [89.020704, -92.120987, 54.950456], [93.936193, -90.930960, 53.028620], [97.764225, -87.102927, 53.028620], [95.121955, -55.972715, 70.450667], [100.865121, -85.730709, 51.405560], [120.028033, -57.051235, 51.405560], [118.728935, -55.236641, 53.272150], [117.818998, -55.024999, 54.053518], [125.400928, -21.694080, 53.272150], [118.933062, -14.471047, 59.759311], [125.997059, -21.828743, 52.571823], [138.735570, -21.828743, 37.050081], [133.134379, 13.535520, 37.050081], [129.381091, 17.613989, 40.836273], [129.361592, 17.639784, 40.852522], [124.754832, 20.945821, 45.292731], [107.850717, 54.121970, 45.292731], [106.972668, 54.739021, 45.946952], [102.024072, 54.987223, 51.544894], [101.449268, 54.619795, 52.429848], [72.513061, 84.498437, 51.544894], [72.005690, 84.354431, 52.156461], [69.360779, 80.216045, 58.525209], [34.139303, 103.648350, 52.156461], [32.413672, 106.052778, 49.838965], [30.893183, 108.988950, 46.554660], [26.596370, 112.943318, 42.565560], [-7.464530, 118.338149, 42.565560], [-7.464530, 102.610656, 61.729285], [-12.926184, 123.170565, 35.623024], [-17.917231, 126.531646, 30.564341], [-53.559146, 120.886379, 30.564341], [-53.063759, 117.459287, 34.835968], [-55.124117, 96.722062, 57.691438], [-54.667726, 121.478245, 29.221778], [-90.311267, 103.316873, 29.221778], [-92.604796, 100.054098, 31.653016], [-94.037541, 98.768405, 31.954230], [-95.020598, 96.690174, 33.258405], [-119.767641, 71.943131, 33.258405], [-121.248929, 68.618001, 34.989723], [-121.688258, 68.128504, 34.886746], [-121.880401, 67.993435, 34.743553], [-134.411334, 43.399944, 34.743553], [-133.953115, 43.333730, 35.314498], [-126.324063, 19.905284, 49.132138], [-134.579713, 43.312809, 34.555269], [-134.884582, 42.981535, 34.247759], [-138.539564, 19.905284, 34.247759], [-138.963457, 19.426145, 33.638629], [-139.656472, 18.396982, 32.595654], [-139.179161, 12.558353, 32.050301], [-134.980857, -13.949458, 32.050301], [-134.590681, -18.511331, 31.468795], [-131.949019, -22.009512, 33.656503], [-130.540241, -27.645638, 31.957886], [-112.586246, -62.882551, 31.957886], [-112.034799, -64.943315, 31.200485], [-102.166855, -75.940556, 33.512700], [-98.628865, -77.614191, 35.732907], [-73.315143, -102.927913, 35.732907], [-66.910241, -105.781216, 39.067583], [-60.221796, -111.782943, 37.661445], [-51.508335, -114.114657, 40.864099], [-31.557352, -124.280159, 40.864099], [-22.295491, -126.595218, 43.655251], [-20.322674, -128.084834, 42.421554], [-13.535720, -128.665325, 43.286807], [5.659893, -131.705693, 43.286807], [12.607304, -132.273388, 43.935747], [12.831539, -132.424503, 43.708263], [19.071717, -131.914491, 43.125334], [40.818404, -128.470135, 43.125334], [47.151608, -127.928438, 42.317968], [49.663075, -126.031991, 43.888625], [56.221529, -124.392885, 41.912152], [80.504869, -112.019770, 41.912152], [86.831777, -110.326637, 39.586734], [93.033161, -104.762005, 40.890504], [97.915949, -102.586890, 38.348367], [115.743610, -84.759229, 38.348367], [119.289318, -83.081939, 36.123083], [123.160817, -78.767455, 35.215989], [121.289759, -57.720892, 49.837340], [125.659082, -77.011357, 33.354477], [136.127219, -56.466478, 33.354477], [136.183481, -56.241228, 33.422316], [136.895791, -55.297981, 32.832482], [137.629428, -54.500770, 32.092345], [141.529362, -29.877219, 32.092345], [141.821029, -26.309168, 32.425650], [139.021551, -22.152096, 36.638985], [148.758488, -26.309168, 19.446655], [149.469783, -24.667422, 17.711478], [148.563502, -14.340650, 16.863490], [145.990898, 5.199236, 16.863490], [145.617986, 9.072969, 16.442644], [144.197022, 11.595607, 18.229817], [142.358461, 18.391295, 16.438785], [130.927781, 45.987375, 16.438785], [130.664143, 46.267465, 16.709532], [127.969876, 49.892793, 17.996849], [126.930760, 52.076845, 16.966873], [106.354601, 78.892167, 16.966873], [103.918082, 80.660858, 18.712815], [103.089592, 81.489347, 18.712815], [72.941626, 85.041962, 50.387161], [101.678987, 83.432510, 17.320286], [69.938833, 107.787548, 17.320286], [67.962766, 108.727749, 18.252363], [65.492733, 110.563466, 17.375329], [62.692442, 113.198222, 14.669485], [24.656863, 128.953135, 14.669485], [23.745707, 129.199712, 14.909562], [19.693237, 131.482476, 12.038588], [15.974275, 133.831252, 8.560313], [-13.646619, 137.730779, 8.560313], [-18.045800, 138.116893, 8.921444], [-18.045800, 127.087561, 29.555895], [-21.227330, 139.495408, 5.558738], [-27.946242, 138.905776, 5.007089], [-49.866589, 136.019976, 5.007089], [-50.796431, 135.432782, 5.876607], [-52.637429, 134.395697, 7.180986], [-54.838136, 121.846079, 28.530794], [-55.863034, 133.522929, 6.330966], [-78.257645, 124.246850, 6.330966], [-79.611177, 122.973344, 7.638798], [-86.520200, 117.838496, 10.091973], [-87.527022, 116.562146, 11.251736], [-109.134374, 99.982196, 11.251736], [-111.509961, 96.709469, 13.597059], [-116.188825, 92.030808, 13.597059], [-117.757248, 89.002829, 15.335283], [-132.851644, 69.331327, 15.335283], [-134.778152, 65.282309, 17.244932], [-135.198998, 64.716036, 17.043852], [-135.506305, 63.675905, 17.382032], [-144.004672, 43.159054, 17.382032], [-144.504731, 41.310338, 17.869295], [-144.500466, 41.295308, 17.888794], [-144.510215, 41.194362, 17.899762], [-147.272118, 20.215434, 17.899762], [-147.431763, 18.396982, 18.049049], [-147.871499, 17.381833, 16.976013], [-147.200014, 9.731251, 16.347994], [-144.713123, -9.159289, 16.347994], [-144.197424, -14.515326, 15.766081], [-142.752696, -17.080008, 17.583112], [-140.682791, -24.731199, 15.566626], [-131.424790, -47.081735, 15.566626], [-130.092585, -51.590189, 14.100571], [-121.931991, -62.570369, 17.999083], [-121.426448, -62.969279, 18.458520], [-103.696078, -86.075998, 18.458520], [-100.717658, -88.237911, 20.592811], [-91.118024, -97.837546, 20.592811], [-83.640087, -101.711278, 24.885358], [-67.847395, -113.829286, 24.885358], [-58.896294, -118.088117, 29.107020], [-53.536804, -122.071123, 27.204073], [-44.125860, -124.852119, 30.264549], [-28.623617, -131.273473, 30.264549], [-19.322149, -133.790018, 32.715896], [-16.422334, -135.423437, 30.661428], [-10.985053, -135.947057, 31.252075], [6.738818, -138.280396, 31.252075], [12.831539, -138.815187, 31.752337], [14.845790, -139.687752, 29.623531], [21.954675, -139.063795, 29.039790], [38.553108, -136.878727, 29.039790], [44.640953, -136.292345, 28.378461], [45.799295, -135.639953, 29.199029], [52.119297, -133.930165, 27.533519], [73.271275, -125.168566, 27.533519], [77.694626, -123.861547, 26.095087], [85.151643, -118.319460, 28.742842], [87.787820, -117.065250, 27.499600], [108.242112, -101.370052, 27.499600], [110.043909, -100.436757, 26.465155], [118.206128, -92.274336, 26.465155], [119.342127, -91.449705, 25.651087], [131.337050, -75.817877, 25.651087], [131.859248, -75.405765, 25.176619], [136.693086, -68.901745, 22.867247], [137.119213, -68.448808, 22.429543], [143.161156, -53.862392, 22.429543], [143.255399, -53.514260, 22.521349], [146.058940, -48.537025, 18.994936], [146.120686, -47.895398, 19.064807], [148.350235, -30.960004, 19.064807], [151.235630, -24.667422, 11.890114], [151.876242, -21.465174, 8.589154], [150.937260, -11.222084, 7.880094], [150.111004, -3.889168, 7.880094], [148.953881, 7.385523, 6.874288], [148.703648, 8.063507, 7.368864], [145.987445, 17.645268, 5.255088], [141.837278, 29.505731, 5.255088], [138.955133, 38.665427, 2.756822], [136.033179, 43.763716, 4.976419], [133.352723, 49.134580, 2.829739], [124.421730, 63.348286, 2.829739], [121.915950, 67.870959, 0.609127], [115.523844, 75.518494, 1.815403], [113.604851, 78.041945, 0.235403], [97.874718, 93.771875, 0.235403], [96.628835, 95.230821, -0.922736], [85.841001, 104.247730, -2.624603], [85.803629, 104.281447, -2.656085], [61.224762, 119.725397, -2.656085], [59.467649, 120.602430, -1.953931], [48.792745, 126.720539, -6.601516], [44.681372, 128.014153, -5.480141], [22.070245, 135.926138, -5.480141], [14.595557, 138.045195, -3.831082], [10.397660, 139.594323, -6.892981], [3.629392, 140.288759, -6.289335], [-10.176265, 141.844386, -6.289335], [-20.402700, 142.781947, -5.581290], [-21.227330, 142.616817, -4.731270], [-28.459909, 141.953863, -5.231939], [-39.858295, 140.669592, -5.231939], [-44.628356, 140.180095, -5.657456], [-49.037896, 138.552770, -2.440991], [-52.871006, 137.466126, -3.286745], [-65.420828, 133.074866, -3.286745], [-68.856247, 131.993910, -4.223696], [-76.888474, 127.390196, -0.726531], [-78.614918, 126.528802, -1.416499], [-95.696145, 115.795808, -1.416499], [-96.660516, 115.261423, -1.890154], [-106.315194, 107.191621, -0.367025], [-106.607674, 106.849176, -0.095262], [-123.239214, 90.217636, -0.095262], [-124.064047, 89.133023, 0.583941], [-129.142635, 83.057161, -0.374743], [-130.235372, 81.084750, 0.593894], [-140.170749, 65.272763, 0.593894], [-141.906535, 61.794487, 1.983985], [-142.589394, 60.603038, 1.465443], [-143.291143, 58.372677, 2.073760], [-148.208460, 44.319834, 2.073760], [-149.362536, 40.248880, 2.971714], [-149.347303, 39.726073, 3.629793], [-149.680405, 36.479953, 3.919430], [-151.081262, 24.047326, 3.919430], [-151.589648, 18.501584, 4.303309], [-151.365820, 17.381833, 5.457386], [-150.663056, 9.716831, 4.926860], [-149.167550, -3.556066, 4.926860], [-148.559639, -9.480204, 4.398365], [-147.045446, -13.583452, 7.391409], [-145.335049, -19.616864, 6.060423], [-140.239603, -34.178500, 6.060423], [-138.316142, -40.291532, 4.393085], [-132.421861, -50.575650, 8.870463], [-131.768047, -51.886122, 8.346843], [-120.474061, -69.860023, 8.346843], [-120.255310, -70.102740, 8.551985], [-110.098949, -82.253652, 10.468947], [-107.081938, -84.830115, 12.863625], [-94.695621, -97.216432, 12.863625], [-90.045395, -100.753001, 15.775627], [-81.505390, -107.890930, 14.428392], [-72.761665, -112.735533, 18.721752], [-60.014420, -120.745215, 18.721752], [-52.475956, -124.507237, 21.734904], [-46.648904, -127.846991, 19.197844], [-37.008648, -130.880250, 21.827116], [-23.109154, -135.743946, 21.827116], [-15.623092, -137.866049, 23.478611], [-11.187960, -139.502718, 20.243460], [-5.475667, -140.088896, 20.753065], [8.331412, -141.644726, 20.753065], [14.845790, -142.241872, 21.203972], [17.845739, -142.841862, 18.111607], [25.949055, -142.099085, 17.550614], [35.321003, -141.043111, 17.550614], [42.994536, -140.255650, 16.866130], [43.392430, -140.108801, 17.156376], [50.456833, -138.106127, 15.597905], [63.980775, -133.373844, 15.597905], [68.915357, -131.821263, 14.252092], [75.994993, -127.763512, 17.334504], [78.101863, -126.712210, 16.492406], [96.563840, -115.111729, 16.492406], [97.556443, -114.561704, 16.004940], [107.766629, -106.027590, 17.615813], [108.153352, -105.574652, 17.975116], [123.140709, -90.587296, 17.975116], [123.705967, -89.844113, 18.440443], [130.135039, -82.152300, 17.227058], [130.506732, -81.481424, 17.556504], [138.859265, -68.188419, 17.556504], [139.176524, -67.552885, 17.810596], [142.712687, -61.382983, 15.124453], [142.825413, -61.025101, 15.221947], [147.107196, -48.788477, 15.221947], [147.292839, -48.133241, 15.366562], [149.311763, -42.662243, 11.375837], [149.627397, -39.586127, 11.650240], [150.918167, -28.131480, 11.650240], [152.218890, -21.465174, 5.108848], [152.218890, -18.532252, 2.175925], [150.937260, -5.517915, 2.175925], [150.654936, -2.832788, 1.995562], [149.568901, 6.806453, 1.995562], [149.095653, 8.970804, -0.040219], [145.110209, 22.108632, -0.040219], [144.398711, 24.315230, -0.508796], [139.628446, 37.948039, -0.508796], [138.757710, 39.843268, -2.113576], [132.030471, 52.429243, -2.113576], [130.369632, 55.347135, -3.254247], [123.196361, 66.763191, -3.254247], [121.556443, 68.961665, -4.963426], [112.013883, 80.589363, -4.963426], [109.044806, 83.954708, -7.117824], [99.664532, 93.334983, -7.117824], [96.495594, 96.130603, -9.146497], [83.942726, 106.432595, -9.146497], [80.732963, 108.826867, -11.641919], [67.213490, 117.321781, -11.641919], [63.884500, 119.216604, -12.943251], [47.399404, 128.028168, -12.943251], [45.688397, 128.814004, -14.391838], [29.581898, 134.449928, -14.391838], [29.352789, 134.523860, -14.440585], [10.591224, 140.215233, -14.440585], [9.611417, 140.429312, -13.518867], [-1.117312, 141.638229, -13.518867], [-3.078348, 141.844386, -13.387251], [-17.818925, 143.296224, -13.387251], [-20.402700, 143.296224, -10.803476], [-32.673650, 142.087510, -10.803476], [-33.945937, 141.953863, -10.717967], [-42.301923, 141.012444, -10.717967], [-44.244477, 140.587535, -8.890780], [-56.185575, 136.965457, -8.890780], [-57.380680, 136.579953, -8.637095], [-67.724513, 132.960515, -8.637095], [-67.923562, 132.869115, -8.468512], [-83.314703, 124.642307, -8.468512], [-83.515376, 124.528159, -8.546913], [-94.751679, 117.467818, -8.546913], [-95.627088, 116.815019, -9.227538], [-110.657098, 104.480089, -9.227538], [-111.641576, 103.611587, -9.857792], [-120.251654, 95.001509, -9.857792], [-120.728965, 94.460421, -10.204096], [-132.400535, 80.238590, -10.204096], [-132.460249, 80.158564, -10.266451], [-136.870398, 73.139861, -10.266451], [-137.354615, 72.289232, -9.933958], [-143.782671, 60.263031, -9.933958], [-144.621114, 58.438078, -8.388690], [-145.962458, 54.604562, -8.388690], [-146.538278, 52.818810, -8.009482], [-149.739510, 42.265569, -8.009482], [-150.392715, 39.279025, -5.200254], [-150.923241, 34.570303, -5.200254], [-151.081262, 33.066063, -5.099307], [-152.225183, 21.451365, -5.099307], [-152.225183, 18.501584, -2.149527], [-150.945787, 5.511824, -2.149527], [-150.663056, 2.821213, -1.968758], [-149.577834, -6.810513, -1.968758], [-149.106820, -8.964912, 0.057681], [-145.128485, -22.079382, 0.057681], [-144.418206, -24.282121, 0.525445], [-139.650785, -37.906399, 0.525445], [-138.784313, -39.792691, 2.122304], [-132.062964, -52.367292, 2.122304], [-130.407204, -55.276654, 3.259522], [-123.235558, -66.690070, 3.259522], [-121.592796, -68.892402, 4.971748], [-112.050439, -80.519693, 4.971748], [-109.077097, -83.890117, 7.129396], [-99.695401, -93.271814, 7.129396], [-96.504730, -96.086729, 9.172083], [-83.947597, -106.391971, 9.172083], [-80.718132, -108.800867, 11.682738], [-67.190128, -117.301062, 11.682738], [-63.830266, -119.213555, 12.996257], [-47.340700, -128.027353, 12.996257], [-45.608570, -128.823142, 14.462921], [-29.502884, -134.458659, 14.462921], [-29.275603, -134.532186, 14.511261], [-10.507539, -140.225183, 14.511261], [-9.520013, -140.441294, 13.582232], [1.160578, -141.644726, 13.582232], [3.142941, -141.852915, 13.448991], [17.845739, -143.301096, 13.448991], [20.472371, -143.301096, 10.822563], [32.677107, -142.099085, 10.822563], [33.994282, -141.960564, 10.734006], [42.266789, -141.028487, 10.734006], [44.260933, -140.592408, 8.858276], [56.137441, -136.989829, 8.858276], [57.393276, -136.584825, 8.591592], [67.671708, -132.988136, 8.591592], [67.906301, -132.880487, 8.392949], [83.301098, -124.651852, 8.392949], [83.458712, -124.562077, 8.454695], [94.724466, -117.483253, 8.454695], [95.582813, -116.843047, 9.121915], [110.638618, -104.486993, 9.121915], [111.620660, -103.620725, 9.750543], [120.242518, -94.998663, 9.750543], [120.732625, -94.443155, 10.106190], [132.393430, -80.234526, 10.106190], [132.469190, -80.132970, 10.184997], [136.887464, -73.101471, 10.184997], [137.348526, -72.291058, 9.868144], [143.796487, -60.228094, 9.868144], [144.617462, -58.441123, 8.355171], [145.969571, -54.576327, 8.355171], [146.530564, -52.836682, 7.985712], [149.739108, -42.259880, 7.985712], [150.384798, -39.306443, 5.207966], [150.918167, -34.573754, 5.207966], [151.073141, -33.098153, 5.108848], [151.580919, -18.532252, -4.302300], [151.359731, -17.426109, -5.442362], [150.654936, -9.738561, -4.910211], [149.159226, 3.536366, -4.910211], [148.548675, 9.485690, -4.379482], [147.028998, 13.603562, -7.383290], [145.316773, 19.644083, -6.050679], [140.220921, 34.207344, -6.050679], [138.290961, 40.340890, -4.377857], [132.387133, 50.641663, -8.862548], [131.728851, 51.960666, -8.335272], [120.438927, 69.928473, -8.335272], [120.227285, 70.163066, -8.533914], [110.065033, 82.321087, -10.451891], [107.067724, 84.880691, -12.831133], [94.690141, 97.258275, -12.831133], [90.062663, 100.777376, -15.728715], [81.518190, 107.919164, -14.380667], [72.806963, 112.745894, -18.658388], [60.075560, 120.745420, -18.658388], [52.564922, 124.493630, -21.660165], [46.726903, 127.839681, -19.118434], [37.079741, 130.875174, -21.749534], [23.192230, 135.734605, -21.749534], [15.692966, 137.860567, -23.403873], [11.272256, 139.491752, -20.179486], [5.507560, 140.083414, -20.693763], [-8.292004, 141.638229, -20.693763], [-14.865285, 142.240859, -21.148731], [-17.818925, 142.831709, -18.104098], [-25.935037, 142.087510, -17.542090], [-35.395337, 141.021584, -17.542090], [-43.031092, 140.238185, -16.861058], [-43.488294, 140.069399, -17.194567], [-50.487905, 138.085005, -15.650517], [-64.111168, 133.317990, -15.650517], [-68.974052, 131.787955, -14.324202], [-76.086998, 127.711314, -17.420832], [-78.151012, 126.681339, -16.595999], [-96.648736, 115.058312, -16.595999], [-97.605186, 114.528396, -16.126406], [-107.783077, 106.021092, -17.731998], [-108.171831, 105.565921, -18.093333], [-123.143345, 90.594610, -18.093333], [-123.698448, 89.864629, -18.550332], [-130.116146, 82.186627, -17.338979], [-130.467324, 81.552312, -17.650551], [-138.845653, 68.218482, -17.650551], [-139.143616, 67.621539, -17.889003], [-142.699480, 61.417513, -15.187830], [-142.793318, 61.119143, -15.269278], [-147.102114, 48.805134, -15.269278], [-147.276790, 48.189301, -15.405159], [-149.315212, 42.665089, -11.375640], [-149.627190, 39.624923, -11.646793], [-150.923241, 28.123764, -11.646793], [-151.238266, 24.686923, -11.884636], [-151.885378, 21.451365, -8.549554], [-150.945787, 11.202384, -7.839884], [-150.123187, 3.901763, -7.839884], [-148.964642, -7.387958, -6.832860], [-148.714815, -8.065333, -7.327029], [-146.002065, -17.634298, -5.216096], [-141.864694, -29.458201, -5.216096], [-138.982346, -38.618913, -2.717628], [-136.052673, -43.730404, -4.942912], [-133.380545, -49.084815, -2.802935], [-124.469660, -63.266228, -2.802935], [-121.962661, -67.791337, -0.580900], [-115.552478, -75.460402, -1.790833], [-113.637548, -77.978572, -0.214082], [-97.922851, -93.693066, -0.214082], [-96.668235, -95.162168, 0.951978], [-85.843435, -104.210153, 2.659735], [-85.805859, -104.244072, 2.691624], [-61.197744, -119.706302, 2.691624], [-59.452209, -120.577445, 1.993938], [-48.732620, -126.721146, 6.661022], [-44.615763, -128.016588, 5.538021], [-21.980466, -135.937104, 5.538021], [-14.495217, -138.059005, 3.886932], [-10.308084, -139.604070, 6.940909], [-3.540629, -140.298710, 6.337263], [10.254873, -141.852915, 6.337263], [20.472371, -142.789663, 5.629827], [21.338233, -142.616409, 4.737155], [28.492614, -141.960564, 5.232339], [39.966963, -140.667762, 5.232339], [44.641766, -140.188014, 5.649529], [49.099849, -138.542815, 2.397722], [52.874260, -137.472826, 3.230274], [65.488468, -133.059022, 3.230274], [68.839799, -132.004469, 4.144274], [76.893353, -127.388569, 0.637969], [78.582424, -126.545659, 1.313110], [95.706102, -115.786057, 1.313110], [96.640615, -115.268327, 1.771937], [106.291028, -107.202181, 0.249417], [106.581070, -106.862579, -0.020111], [123.232718, -90.210931, -0.020111], [124.048006, -89.138708, -0.691393], [129.132686, -83.055331, 0.268307], [130.200441, -81.128417, -0.677987], [140.169737, -65.262199, -0.677987], [141.881760, -61.831858, -2.049190], [142.581883, -60.610145, -1.517242], [143.265555, -58.437264, -2.109717], [148.202980, -44.327347, -2.109717], [149.349947, -40.280970, -3.002390], [149.335527, -39.782739, -3.629596], [149.668222, -36.540478, -3.918826], [151.073141, -24.070276, -3.918826], [147.867237, -17.426109, -16.955708], [147.192909, -9.743436, -16.325049], [144.710689, 9.110951, -16.325049], [144.188491, 14.532998, -15.736027], [142.742138, 17.100930, -17.555292], [140.662484, 24.787260, -15.529463], [131.427637, 47.082346, -15.529463], [130.078777, 51.647063, -14.045128], [121.898888, 62.653241, -17.952983], [121.411625, 63.037527, -18.395765], [103.699941, 86.119872, -18.395765], [100.747316, 88.263302, -20.511775], [91.127574, 97.882841, -20.511775], [83.668120, 101.747028, -24.793761], [67.915035, 113.834772, -24.793761], [58.979980, 118.085682, -29.007908], [53.621302, 122.068485, -27.105164], [44.174001, 124.860042, -30.177421], [28.704256, 131.267788, -30.177421], [19.355667, 133.797129, -32.641157], [16.495255, 135.408408, -30.614516], [10.978963, 135.939544, -31.213896], [-6.731502, 138.271055, -31.213896], [-12.917654, 138.814173, -31.721674], [-14.865285, 139.657896, -29.663347], [-21.972341, 139.034143, -29.079809], [-38.701578, 136.831810, -29.079809], [-44.737833, 136.250507, -28.423964], [-45.956905, 135.563788, -29.287795], [-52.191600, 133.876952, -27.644627], [-73.441884, 125.074934, -27.644627], [-77.795568, 123.788226, -26.228740], [-85.234914, 118.259342, -28.870199], [-87.843265, 117.018333, -27.639955], [-108.275215, 101.340400, -27.639955], [-110.068482, 100.411573, -26.610589], [-118.163470, 92.316382, -26.610589], [-119.323640, 91.474283, -25.779256], [-131.271847, 75.903186, -25.779256], [-131.821465, 75.469544, -25.279806], [-136.626259, 69.004724, -22.984245], [-137.083055, 68.519086, -22.515059], [-143.130888, 53.918250, -22.515059], [-143.207055, 53.637144, -22.589194], [-146.049390, 48.590852, -19.014035], [-146.106261, 48.001423, -19.078015], [-148.347185, 30.979504, -19.078015], [-148.749954, 26.389805, -19.454786], [-149.487856, 24.686923, -17.655019], [-148.578934, 14.331512, -16.804797], [-146.017095, -5.127333, -16.804797], [-145.637278, -9.072154, -16.376232], [-144.231140, -11.568388, -18.144720], [-142.383237, -18.398808, -16.344547], [-130.974289, -45.942282, -16.344547], [-130.721213, -46.211201, -16.604529], [-128.004198, -49.867199, -17.902612], [-126.967113, -52.046783, -16.874667], [-106.424061, -78.819045, -16.874667], [-103.981246, -80.592407, -18.625280], [-103.108071, -81.465581, -18.625280], [-101.716761, -83.382340, -17.251641], [-69.967874, -107.743878, -17.251641], [-67.958497, -108.699921, -18.199357], [-65.454951, -110.560621, -17.310543], [-62.676392, -113.175065, -14.625822], [-24.577037, -128.956180, -14.625822], [-23.622212, -129.214537, -14.877477], [-19.590459, -131.485521, -12.020924], [-15.878809, -133.829625, -8.549554], [13.778645, -137.734230, -8.549554], [18.207683, -138.122985, -8.913122], [21.338233, -139.479360, -5.604444], [27.995195, -138.895010, -5.057873], [49.929354, -136.007381, -5.057873], [50.910177, -135.387892, -5.975122], [52.738988, -134.357916, -7.270767], [55.873397, -133.509928, -6.444715], [78.267399, -124.233849, -6.444715], [79.666427, -122.917690, -7.796418], [86.506596, -117.834025, -10.225219], [87.525198, -116.542646, -11.398592], [109.114677, -99.976507, -11.398592], [111.493919, -96.698905, -13.747367], [116.146988, -92.045836, -13.747367], [117.694288, -89.058682, -15.462030], [132.824431, -69.340871, -15.462030], [134.723519, -65.349334, -17.344666], [135.162442, -64.758484, -17.134852], [135.450860, -63.782333, -17.452314], [143.980709, -43.189925, -17.452314], [144.465738, -41.396862, -17.924954], [144.480158, -41.371270, -17.906674], [144.488080, -41.290025, -17.915408], [147.257092, -20.256867, -17.915408], [147.413690, -18.472740, -18.061851], [139.668865, -18.472740, -32.551382], [139.186477, -12.568710, -31.999733], [135.000359, 13.860701, -31.999733], [134.601246, 18.528394, -31.404821], [131.977459, 22.003014, -33.577702], [130.546948, 27.726885, -31.852680], [112.639465, 62.871991, -31.852680], [112.069738, 65.001204, -31.070094], [102.191232, 76.010428, -33.384746], [98.665835, 77.678173, -35.597234], [73.385220, 102.958788, -35.597234], [66.971991, 105.815544, -38.936176], [60.301013, 111.801631, -37.533695], [51.512401, 114.153656, -40.763972], [31.620727, 124.288894, -40.763972], [22.266856, 126.626905, -43.582746], [20.360660, 128.066149, -42.390891], [13.444121, 128.657812, -43.272596], [-5.699292, 131.689649, -43.272596], [-12.778319, 132.268313, -43.933722], [-12.917654, 132.362150, -43.792560], [-19.158645, 131.852138, -43.209631], [-41.014606, 128.390518, -43.209631], [-47.309218, 127.852070, -42.407140], [-49.868417, 125.919672, -44.007654], [-56.358219, 124.297425, -42.051898], [-80.632419, 111.929185, -42.051898], [-86.919110, 110.246613, -39.741105], [-93.064843, 104.732150, -41.033297], [-97.946615, 102.557441, -38.491566], [-115.681454, 84.822602, -38.491566], [-119.245239, 83.136781, -36.254908], [-123.067179, 78.877543, -35.359391], [-125.603426, 77.094635, -33.469647], [-136.060392, 56.571692, -33.469647], [-136.095327, 56.431951, -33.511691], [-136.841557, 55.443816, -32.893827], [-137.599160, 54.620404, -32.129521], [-141.506610, 29.950138, -32.129521], [-141.797465, 26.389805, -32.462013], [-139.032515, 22.283917, -36.623554], [-138.785938, 22.005248, -36.977983], [-133.160982, -13.509723, -36.977983], [-129.438974, -17.554069, -40.732490], [-129.418459, -17.581083, -40.749551], [-124.848462, -20.860716, -45.154419], [-107.917537, -54.089470, -45.154419], [-107.030957, -54.712818, -45.815139], [-102.068346, -54.961629, -51.428923], [-72.527275, -84.502700, -51.428923], [-72.935731, -85.021039, -50.325015], [-71.959174, -84.341633, -52.113611], [-33.966045, -103.700141, -52.113611], [-32.268443, -106.065572, -49.833487], [-30.758313, -108.981839, -46.571524], [-26.479780, -112.919349, -42.599486], [7.697705, -118.332460, -42.599486], [13.137830, -123.145987, -35.684166], [18.072208, -126.468883, -30.683167], [18.207683, -127.055061, -29.619678], [53.688938, -120.827678, -30.683167], [54.760146, -121.399435, -29.385694], [54.942336, -121.792658, -28.647386], [90.312083, -103.284779, -29.385694], [92.612112, -100.012864, -31.823635], [94.009110, -98.759263, -32.117334], [94.981402, -96.703983, -33.407292], [119.707118, -71.978267, -33.407292], [121.163423, -68.709196, -35.109159], [121.603159, -68.219292, -35.006181], [121.830440, -68.059241, -34.836787], [134.319328, -43.548619, -34.836787], [134.525283, -43.441986, -34.606256], [134.856760, -43.081870, -34.271935], [138.505649, -20.043600, -34.271935], [138.947009, -19.544760, -33.637823], [126.287304, -20.043600, -49.159971], [125.950953, -19.967637, -49.555428], [125.583728, -15.057429, -49.055165], [118.275388, 21.684333, -49.055165], [118.155553, 23.376248, -48.811432], [110.634962, 31.553496, -52.705273], [110.074579, 34.019060, -51.897297], [80.092148, 78.890948, -51.897297], [80.082805, 78.895011, -51.902172], [67.936768, 91.041048, -51.902172], [64.002305, 91.993638, -53.440535], [33.265316, 112.531409, -53.440535], [27.253231, 113.897736, -55.410508], [23.157092, 117.665039, -53.460033], [17.694219, 118.051965, -54.246885], [-5.163282, 122.598402, -54.246885], [-12.778319, 123.167925, -55.022566], [-13.971800, 122.099358, -56.094383], [-20.252804, 121.629765, -55.454380], [-46.506524, 116.407579, -55.454380], [-50.843959, 116.100272, -54.829814], [-55.632910, 111.695810, -57.110141], [-61.924272, 110.265909, -55.048767], [-89.056244, 92.137035, -55.048767], [-93.964827, 90.948429, -53.129572], [-97.744113, 87.169143, -53.129572], [-100.860039, 85.790426, -51.498590], [-119.937238, 57.239520, -51.498590], [-121.203229, 57.911412, -49.924887], [-118.671654, 55.471846, -53.316840], [-125.355427, 21.870180, -53.316840], [-125.952777, 22.005248, -52.615092], [-118.935698, 14.700768, -59.755864], [-111.411858, 8.795113, -66.894606], [-105.122932, -22.820534, -66.894606], [-99.105769, -27.600751, -71.052491], [-101.506338, -54.602325, -52.293973], [-98.616881, -27.706166, -71.436574], [-88.645960, -32.173795, -77.846757], [-72.389363, -56.503647, -77.846757], [-70.837595, -57.190162, -78.658998], [-69.332949, -80.232291, -58.437471], [-67.317275, -56.103112, -81.814936], [-66.561906, -56.285912, -82.110260], [-39.579423, -74.315059, -82.110260], [-38.266514, -77.245138, -80.226608], [-38.218783, -77.466123, -80.052948], [-36.336960, -79.835209, -78.416077], [-4.646568, -86.138759, -78.416077], [2.187710, -94.845518, -70.154944], [6.905572, -99.070226, -65.917642], [7.697705, -102.576328, -61.798349], [53.192129, -117.390837, -34.966778], [45.733284, -91.346931, -65.917642], [48.083278, -91.180380, -65.579260], [54.922838, -96.077386, -58.543698], [55.248628, -96.691390, -57.780610], [90.577143, -72.253889, -58.543698], [95.206449, -71.132919, -56.733979], [96.622539, -71.570420, -55.464332], [99.959449, -70.093803, -53.717578], [115.659725, -46.596503, -53.717578], [116.920841, -46.031448, -52.906962], [119.579767, -45.458472, -50.818372], [120.359713, -44.838780, -50.279315], [133.922856, -43.491342, -35.330956], [125.187661, -20.566611, -50.279315], [107.725601, -20.566611, -64.610217], [104.420782, -19.737512, -67.187086], [104.241841, -17.179532, -66.916339], [90.963867, 32.374674, -66.916339], [89.385288, 33.306953, -67.626618], [78.151829, 44.295054, -70.518513], [77.420223, 47.527159, -69.457258], [36.352197, 88.595185, -69.457258], [36.098105, 89.625161, -69.057129], [28.869588, 97.015151, -67.154588], [27.888765, 98.675990, -66.407140], [-8.765456, 108.497421, -66.407140], [-13.971800, 108.861802, -66.958180], [-15.918822, 106.776665, -68.351521], [-19.199267, 106.547150, -68.004405], [-56.262554, 96.616038, -68.004405], [-57.766387, 94.069229, -69.150357], [-61.910461, 89.832740, -70.240860], [-62.236454, 88.511707, -70.754324], [-94.769756, 55.978201, -70.754324], [-95.116264, 56.210763, -70.455548], [-117.779794, 55.264469, -54.082772], [-91.038607, 50.982077, -74.458459], [-91.324385, 45.822043, -75.259732], [-101.140942, 9.185898, -75.259732], [-101.168362, 8.795113, -75.301167], [-89.403361, -2.190551, -83.163187], [-81.979654, -6.485130, -87.746183], [-74.943077, -32.745958, -87.746183], [-70.148439, -35.577122, -89.903425], [-65.925559, -39.707791, -90.990678], [-60.780148, -40.977640, -92.989900], [-47.121950, -54.635839, -92.989900], [-43.982057, -55.346524, -94.020891], [-40.210286, -59.202383, -93.028288], [-38.032733, -59.323031, -93.366467], [-12.962541, -66.040521, -93.366467], [-11.973188, -67.750918, -92.310493], [-4.646568, -75.597299, -87.067183], [1.019213, -75.200826, -86.467600], [27.308274, -68.156734, -86.467600], [42.847077, -67.296153, -84.054438], [48.892066, -71.810701, -79.572794], [58.837396, -69.559622, -76.306973], [77.491109, -50.905909, -76.306973], [86.233412, -48.748464, -72.909941], [93.336406, -49.103908, -69.062410], [96.207177, -47.408744, -67.770827], [103.475097, -20.284490, -67.770827], [76.145092, -20.284490, -82.378975], [70.969418, -18.652087, -84.911769], [69.860432, -18.652087, -85.391721], [44.266010, 43.138337, -85.391721], [42.987427, 43.656473, -85.714464], [38.512282, 48.131618, -85.714464], [35.246055, 56.191062, -83.680104], [-16.458691, 77.607896, -83.680104], [-16.458691, 79.428786, -82.892034], [-15.918822, 81.140809, -82.054201], [-18.128466, 73.675261, -85.082789], [-61.121984, 55.866693, -85.082789], [-63.482743, 50.041470, -86.553312], [-60.931669, 43.726343, -88.789361], [-61.511551, 33.250691, -90.416483], [-75.176249, 0.260999, -90.416483], [-75.689104, -6.485130, -91.108483], [-63.539614, -16.930518, -96.106638], [-61.229836, -17.911341, -96.930456], [-51.802236, -40.671146, -96.930456], [-48.983462, -41.813645, -97.641954], [-43.700342, -47.096562, -97.641954], [-39.906229, -47.306579, -98.231382], [-23.408945, -54.140045, -98.231382], [-17.965571, -54.553782, -98.789734], [-12.962541, -60.372709, -96.396071], [2.112762, -59.226756, -94.849381], [19.408679, -52.062423, -94.849381], [35.677665, -51.162032, -92.322477], [42.388859, -53.873157, -89.946078], [51.868658, -50.031313, -87.553228], [63.800616, -21.224894, -87.553228], [27.324117, -21.224894, -98.618105], [25.170531, -20.193496, -99.141928], [24.779339, -20.193496, -99.206111], [-18.358184, 22.944230, -99.206111], [-18.358184, 31.846585, -97.742494], [-18.128466, 32.326536, -97.625705], [-19.788898, 17.238640, -99.909078], [-48.915826, -11.888288, -99.909078], [-49.714459, -17.911341, -100.423559], [-43.946716, -23.182478, -101.510812], [-43.894516, -23.576513, -101.477095], [-24.471419, -42.999610, -101.477095], [-20.148608, -43.572790, -101.846554], [-17.965571, -45.961375, -101.396257], [-7.451531, -44.567424, -100.497897], [14.292922, -22.822971, -100.497897], [-19.788898, -22.822971, -103.854712], [-20.148608, -23.182478, -103.854712], ];
var faces = [[0, 1, 2], [0, 2, 3], [0, 3, 4], [5, 4, 3], [5, 3, 6], [5, 6, 7], [5, 7, 8], [9, 10, 5], [9, 5, 8], [9, 8, 11], [10, 12, 13], [10, 13, 0], [10, 0, 4], [10, 4, 5], [13, 14, 15], [13, 15, 16], [13, 16, 1], [13, 1, 0], [16, 17, 18], [16, 18, 2], [16, 2, 1], [3, 2, 18], [3, 18, 19], [3, 19, 20], [3, 20, 6], [6, 20, 21], [6, 21, 22], [6, 22, 23], [6, 23, 7], [8, 7, 23], [8, 23, 24], [8, 24, 25], [8, 25, 26], [8, 26, 11], [24, 27, 28], [24, 28, 29], [24, 29, 25], [26, 25, 29], [26, 29, 30], [26, 30, 31], [26, 31, 32], [11, 26, 32], [11, 32, 33], [11, 33, 34], [11, 34, 35], [11, 35, 9], [33, 36, 37], [33, 37, 38], [33, 38, 34], [34, 38, 39], [34, 39, 40], [34, 40, 41], [34, 41, 35], [9, 35, 41], [9, 41, 42], [9, 42, 12], [9, 12, 10], [42, 43, 44], [42, 44, 45], [42, 45, 14], [42, 14, 13], [42, 13, 12], [44, 46, 47], [44, 47, 48], [44, 48, 45], [45, 48, 49], [45, 49, 50], [45, 50, 15], [45, 15, 14], [15, 50, 51], [15, 51, 52], [15, 52, 17], [15, 17, 16], [18, 17, 52], [18, 52, 53], [18, 53, 54], [18, 54, 19], [19, 54, 55], [19, 55, 21], [19, 21, 20], [21, 55, 56], [21, 56, 57], [21, 57, 58], [21, 58, 59], [21, 59, 22], [23, 22, 59], [23, 59, 60], [23, 60, 27], [23, 27, 24], [60, 61, 62], [60, 62, 63], [60, 63, 28], [60, 28, 27], [29, 28, 63], [29, 63, 64], [29, 64, 65], [29, 65, 66], [29, 66, 30], [64, 67, 68], [64, 68, 69], [64, 69, 65], [65, 69, 70], [65, 70, 71], [65, 71, 72], [65, 72, 73], [65, 73, 66], [30, 66, 73], [30, 73, 74], [30, 74, 31], [32, 31, 74], [32, 74, 75], [32, 75, 76], [32, 76, 36], [32, 36, 33], [76, 77, 78], [76, 78, 79], [76, 79, 80], [76, 80, 37], [76, 37, 36], [78, 81, 82], [78, 82, 83], [78, 83, 84], [78, 84, 79], [79, 84, 85], [79, 85, 86], [79, 86, 87], [79, 87, 80], [37, 80, 87], [37, 87, 88], [37, 88, 89], [37, 89, 39], [37, 39, 38], [39, 89, 90], [39, 90, 91], [39, 91, 40], [41, 40, 91], [41, 91, 92], [41, 92, 43], [41, 43, 42], [92, 93, 94], [92, 94, 95], [92, 95, 46], [92, 46, 44], [92, 44, 43], [94, 96, 97], [94, 97, 98], [94, 98, 99], [94, 99, 95], [95, 99, 100], [95, 100, 47], [95, 47, 46], [47, 100, 101], [47, 101, 102], [47, 102, 103], [47, 103, 49], [47, 49, 48], [49, 103, 104], [49, 104, 51], [49, 51, 50], [51, 104, 105], [51, 105, 53], [51, 53, 52], [53, 105, 106], [53, 106, 56], [53, 56, 55], [53, 55, 54], [56, 106, 107], [56, 107, 108], [56, 108, 109], [56, 109, 57], [57, 109, 110], [57, 110, 111], [57, 111, 112], [57, 112, 58], [59, 58, 112], [59, 112, 113], [59, 113, 61], [59, 61, 60], [113, 114, 115], [113, 115, 62], [113, 62, 61], [63, 62, 115], [63, 115, 116], [63, 116, 67], [63, 67, 64], [116, 117, 118], [116, 118, 119], [116, 119, 68], [116, 68, 67], [68, 119, 120], [68, 120, 121], [68, 121, 70], [68, 70, 69], [120, 122, 123], [120, 123, 124], [120, 124, 121], [70, 121, 124], [70, 124, 125], [70, 125, 126], [70, 126, 127], [70, 127, 71], [72, 71, 127], [72, 127, 128], [72, 128, 129], [74, 73, 72], [74, 72, 129], [74, 129, 130], [74, 130, 131], [74, 131, 132], [74, 132, 75], [75, 132, 133], [75, 133, 134], [75, 134, 77], [75, 77, 76], [134, 135, 136], [134, 136, 81], [134, 81, 78], [134, 78, 77], [136, 137, 138], [136, 138, 82], [136, 82, 81], [82, 138, 139], [82, 139, 140], [82, 140, 141], [82, 141, 83], [83, 141, 142], [83, 142, 143], [83, 143, 85], [83, 85, 84], [85, 143, 144], [85, 144, 145], [85, 145, 86], [87, 86, 145], [87, 145, 146], [87, 146, 147], [87, 147, 88], [88, 147, 148], [88, 148, 149], [88, 149, 150], [88, 150, 90], [88, 90, 89], [150, 149, 151], [150, 151, 152], [150, 152, 153], [150, 153, 154], [91, 90, 150], [91, 150, 154], [91, 154, 93], [91, 93, 92], [154, 153, 155], [154, 155, 156], [154, 156, 96], [154, 96, 94], [154, 94, 93], [155, 157, 158], [155, 158, 159], [155, 159, 160], [155, 160, 156], [156, 160, 161], [156, 161, 162], [156, 162, 97], [156, 97, 96], [97, 162, 163], [97, 163, 164], [97, 164, 165], [97, 165, 166], [97, 166, 98], [98, 166, 101], [98, 101, 100], [98, 100, 99], [101, 166, 165], [101, 165, 167], [101, 167, 168], [101, 168, 169], [101, 169, 102], [102, 169, 107], [102, 107, 106], [102, 106, 105], [102, 105, 104], [102, 104, 103], [107, 169, 168], [107, 168, 170], [107, 170, 108], [108, 170, 171], [108, 171, 110], [108, 110, 109], [110, 171, 172], [110, 172, 173], [110, 173, 174], [110, 174, 175], [110, 175, 111], [175, 174, 176], [175, 176, 177], [175, 177, 178], [175, 178, 179], [112, 111, 175], [112, 175, 179], [112, 179, 180], [112, 180, 114], [112, 114, 113], [179, 178, 181], [179, 181, 182], [179, 182, 183], [179, 183, 180], [115, 114, 180], [115, 180, 183], [115, 183, 184], [115, 184, 185], [115, 185, 117], [115, 117, 116], [185, 186, 187], [185, 187, 118], [185, 118, 117], [118, 187, 188], [118, 188, 122], [118, 122, 120], [118, 120, 119], [188, 189, 190], [188, 190, 191], [188, 191, 123], [188, 123, 122], [124, 123, 191], [124, 191, 192], [124, 192, 125], [191, 190, 193], [191, 193, 194], [191, 194, 195], [191, 195, 192], [125, 192, 195], [125, 195, 196], [125, 196, 197], [125, 197, 198], [125, 198, 199], [125, 199, 126], [127, 126, 199], [127, 199, 200], [127, 200, 201], [127, 201, 128], [129, 128, 201], [129, 201, 202], [129, 202, 203], [129, 203, 130], [130, 203, 204], [130, 204, 205], [130, 205, 206], [130, 206, 131], [131, 206, 207], [131, 207, 208], [131, 208, 133], [131, 133, 132], [133, 208, 209], [133, 209, 210], [133, 210, 135], [133, 135, 134], [210, 211, 212], [210, 212, 137], [210, 137, 136], [210, 136, 135], [212, 213, 214], [212, 214, 139], [212, 139, 138], [212, 138, 137], [139, 214, 215], [139, 215, 216], [139, 216, 140], [140, 216, 217], [140, 217, 218], [140, 218, 219], [140, 219, 142], [140, 142, 141], [142, 219, 220], [142, 220, 221], [142, 221, 144], [142, 144, 143], [145, 144, 221], [145, 221, 222], [145, 222, 223], [145, 223, 146], [146, 223, 224], [146, 224, 225], [146, 225, 148], [146, 148, 147], [148, 225, 226], [148, 226, 227], [148, 227, 151], [148, 151, 149], [151, 227, 228], [151, 228, 229], [151, 229, 230], [151, 230, 152], [229, 231, 232], [229, 232, 233], [229, 233, 230], [152, 230, 233], [152, 233, 234], [152, 234, 157], [152, 157, 155], [152, 155, 153], [234, 235, 236], [234, 236, 237], [234, 237, 238], [234, 238, 158], [234, 158, 157], [237, 239, 240], [237, 240, 241], [237, 241, 242], [237, 242, 238], [158, 238, 242], [158, 242, 243], [158, 243, 244], [158, 244, 159], [159, 244, 245], [159, 245, 246], [159, 246, 247], [159, 247, 161], [159, 161, 160], [161, 247, 248], [161, 248, 163], [161, 163, 162], [163, 248, 249], [163, 249, 250], [163, 250, 251], [163, 251, 164], [164, 251, 252], [164, 252, 253], [164, 253, 167], [164, 167, 165], [252, 254, 255], [252, 255, 256], [252, 256, 253], [167, 253, 256], [167, 256, 257], [167, 257, 172], [167, 172, 171], [167, 171, 170], [167, 170, 168], [172, 257, 258], [172, 258, 259], [172, 259, 260], [172, 260, 173], [173, 260, 261], [173, 261, 176], [173, 176, 174], [176, 261, 262], [176, 262, 263], [176, 263, 264], [176, 264, 265], [176, 265, 177], [264, 266, 267], [264, 267, 268], [264, 268, 269], [264, 269, 265], [177, 265, 269], [177, 269, 270], [177, 270, 271], [177, 271, 181], [177, 181, 178], [270, 272, 273], [270, 273, 274], [270, 274, 271], [181, 271, 274], [181, 274, 275], [181, 275, 276], [181, 276, 182], [183, 182, 276], [183, 276, 277], [183, 277, 278], [183, 278, 184], [184, 278, 279], [184, 279, 280], [184, 280, 186], [184, 186, 185], [280, 281, 282], [280, 282, 189], [280, 189, 188], [280, 188, 187], [280, 187, 186], [282, 283, 284], [282, 284, 193], [282, 193, 190], [282, 190, 189], [193, 284, 285], [193, 285, 286], [193, 286, 287], [193, 287, 194], [195, 194, 287], [195, 287, 288], [195, 288, 196], [196, 288, 289], [196, 289, 290], [196, 290, 197], [197, 290, 291], [197, 291, 292], [197, 292, 293], [197, 293, 198], [199, 198, 293], [199, 293, 294], [199, 294, 295], [199, 295, 200], [201, 200, 295], [201, 295, 296], [201, 296, 297], [201, 297, 202], [202, 297, 298], [202, 298, 299], [202, 299, 300], [202, 300, 204], [202, 204, 203], [204, 300, 301], [204, 301, 302], [204, 302, 205], [205, 302, 303], [205, 303, 304], [205, 304, 207], [205, 207, 206], [207, 304, 305], [207, 305, 306], [207, 306, 209], [207, 209, 208], [209, 306, 307], [209, 307, 308], [209, 308, 211], [209, 211, 210], [308, 309, 310], [308, 310, 213], [308, 213, 212], [308, 212, 211], [310, 311, 312], [310, 312, 215], [310, 215, 214], [310, 214, 213], [215, 312, 313], [215, 313, 314], [215, 314, 217], [215, 217, 216], [217, 314, 315], [217, 315, 316], [217, 316, 317], [217, 317, 218], [218, 317, 318], [218, 318, 319], [218, 319, 220], [218, 220, 219], [221, 220, 319], [221, 319, 320], [221, 320, 321], [221, 321, 222], [222, 321, 322], [222, 322, 323], [222, 323, 224], [222, 224, 223], [224, 323, 324], [224, 324, 325], [224, 325, 226], [224, 226, 225], [226, 325, 326], [226, 326, 327], [226, 327, 228], [226, 228, 227], [228, 327, 328], [228, 328, 329], [228, 329, 231], [228, 231, 229], [329, 330, 331], [329, 331, 232], [329, 232, 231], [233, 232, 331], [233, 331, 332], [233, 332, 333], [233, 333, 334], [233, 334, 235], [233, 235, 234], [334, 335, 336], [334, 336, 236], [334, 236, 235], [236, 336, 337], [236, 337, 239], [236, 239, 237], [240, 338, 339], [240, 339, 340], [240, 340, 341], [240, 341, 241], [242, 241, 341], [242, 341, 342], [242, 342, 343], [242, 343, 243], [243, 343, 344], [243, 344, 345], [243, 345, 245], [243, 245, 244], [245, 345, 346], [245, 346, 347], [245, 347, 246], [246, 347, 348], [246, 348, 349], [246, 349, 249], [246, 249, 248], [246, 248, 247], [249, 349, 350], [249, 350, 351], [249, 351, 250], [250, 351, 352], [250, 352, 353], [250, 353, 254], [250, 254, 252], [250, 252, 251], [353, 354, 355], [353, 355, 255], [353, 255, 254], [256, 255, 355], [256, 355, 356], [256, 356, 357], [256, 357, 358], [256, 358, 258], [256, 258, 257], [258, 358, 359], [258, 359, 360], [258, 360, 259], [259, 360, 361], [259, 361, 362], [259, 362, 262], [259, 262, 261], [259, 261, 260], [262, 362, 363], [262, 363, 364], [262, 364, 263], [263, 364, 365], [263, 365, 366], [263, 366, 367], [263, 367, 266], [263, 266, 264], [367, 368, 369], [367, 369, 267], [367, 267, 266], [267, 369, 370], [267, 370, 371], [267, 371, 268], [269, 268, 371], [269, 371, 372], [269, 372, 373], [269, 373, 272], [269, 272, 270], [373, 374, 375], [373, 375, 273], [373, 273, 272], [274, 273, 375], [274, 375, 376], [274, 376, 377], [274, 377, 275], [276, 275, 377], [276, 377, 378], [276, 378, 379], [276, 379, 380], [276, 380, 277], [277, 380, 381], [277, 381, 382], [277, 382, 279], [277, 279, 278], [279, 382, 383], [279, 383, 384], [279, 384, 281], [279, 281, 280], [384, 385, 386], [384, 386, 283], [384, 283, 282], [384, 282, 281], [386, 387, 388], [386, 388, 285], [386, 285, 284], [386, 284, 283], [285, 388, 389], [285, 389, 390], [285, 390, 391], [285, 391, 286], [287, 286, 391], [287, 391, 392], [287, 392, 289], [287, 289, 288], [289, 392, 393], [289, 393, 394], [289, 394, 395], [289, 395, 291], [289, 291, 290], [291, 395, 396], [291, 396, 397], [291, 397, 292], [293, 292, 397], [293, 397, 398], [293, 398, 399], [293, 399, 294], [295, 294, 399], [295, 399, 400], [295, 400, 401], [295, 401, 296], [296, 401, 402], [296, 402, 403], [296, 403, 298], [296, 298, 297], [298, 403, 404], [298, 404, 405], [298, 405, 406], [298, 406, 299], [299, 406, 407], [299, 407, 408], [299, 408, 301], [299, 301, 300], [301, 408, 409], [301, 409, 410], [301, 410, 303], [301, 303, 302], [303, 410, 411], [303, 411, 412], [303, 412, 305], [303, 305, 304], [305, 412, 413], [305, 413, 414], [305, 414, 307], [305, 307, 306], [307, 414, 415], [307, 415, 416], [307, 416, 309], [307, 309, 308], [416, 417, 418], [416, 418, 311], [416, 311, 310], [416, 310, 309], [418, 419, 420], [418, 420, 313], [418, 313, 312], [418, 312, 311], [313, 420, 421], [313, 421, 422], [313, 422, 315], [313, 315, 314], [315, 422, 423], [315, 423, 424], [315, 424, 425], [315, 425, 316], [316, 425, 426], [316, 426, 427], [316, 427, 318], [316, 318, 317], [319, 318, 427], [319, 427, 428], [319, 428, 429], [319, 429, 320], [320, 429, 430], [320, 430, 431], [320, 431, 322], [320, 322, 321], [322, 431, 432], [322, 432, 433], [322, 433, 324], [322, 324, 323], [324, 433, 434], [324, 434, 435], [324, 435, 436], [324, 436, 326], [324, 326, 325], [326, 436, 437], [326, 437, 438], [326, 438, 328], [326, 328, 327], [328, 438, 439], [328, 439, 440], [328, 440, 330], [328, 330, 329], [331, 330, 440], [331, 440, 441], [331, 441, 442], [331, 442, 332], [332, 442, 443], [332, 443, 444], [332, 444, 333], [333, 444, 445], [333, 445, 446], [333, 446, 335], [333, 335, 334], [446, 447, 448], [446, 448, 337], [446, 337, 336], [446, 336, 335], [337, 448, 449], [337, 449, 338], [337, 338, 240], [337, 240, 239], [339, 450, 451], [339, 451, 452], [339, 452, 340], [341, 340, 452], [341, 452, 453], [341, 453, 454], [341, 454, 342], [342, 454, 455], [342, 455, 456], [342, 456, 344], [342, 344, 343], [344, 456, 457], [344, 457, 458], [344, 458, 346], [344, 346, 345], [346, 458, 459], [346, 459, 460], [346, 460, 348], [346, 348, 347], [348, 460, 461], [348, 461, 462], [348, 462, 350], [348, 350, 349], [350, 462, 463], [350, 463, 464], [350, 464, 352], [350, 352, 351], [352, 464, 465], [352, 465, 466], [352, 466, 354], [352, 354, 353], [355, 354, 466], [355, 466, 467], [355, 467, 468], [355, 468, 356], [356, 468, 469], [356, 469, 470], [356, 470, 357], [357, 470, 471], [357, 471, 472], [357, 472, 359], [357, 359, 358], [359, 472, 473], [359, 473, 474], [359, 474, 361], [359, 361, 360], [361, 474, 475], [361, 475, 476], [361, 476, 477], [361, 477, 363], [361, 363, 362], [363, 477, 478], [363, 478, 479], [363, 479, 365], [363, 365, 364], [365, 479, 480], [365, 480, 481], [365, 481, 366], [366, 481, 482], [366, 482, 483], [366, 483, 368], [366, 368, 367], [483, 484, 485], [483, 485, 370], [483, 370, 369], [483, 369, 368], [371, 370, 485], [371, 485, 486], [371, 486, 487], [371, 487, 372], [372, 487, 488], [372, 488, 489], [372, 489, 374], [372, 374, 373], [375, 374, 489], [375, 489, 490], [375, 490, 376], [377, 376, 490], [377, 490, 491], [377, 491, 492], [377, 492, 378], [378, 492, 493], [378, 493, 494], [378, 494, 379], [379, 494, 495], [379, 495, 496], [379, 496, 381], [379, 381, 380], [381, 496, 497], [381, 497, 498], [381, 498, 383], [381, 383, 382], [383, 498, 499], [383, 499, 500], [383, 500, 501], [383, 501, 385], [383, 385, 384], [501, 502, 503], [501, 503, 387], [501, 387, 386], [501, 386, 385], [503, 504, 505], [503, 505, 389], [503, 389, 388], [503, 388, 387], [389, 505, 506], [389, 506, 507], [389, 507, 390], [391, 390, 507], [391, 507, 508], [391, 508, 509], [391, 509, 393], [391, 393, 392], [393, 509, 510], [393, 510, 511], [393, 511, 394], [394, 511, 512], [394, 512, 513], [394, 513, 396], [394, 396, 395], [397, 396, 513], [397, 513, 514], [397, 514, 515], [397, 515, 398], [399, 398, 515], [399, 515, 516], [399, 516, 517], [399, 517, 400], [400, 517, 518], [400, 518, 519], [400, 519, 402], [400, 402, 401], [402, 519, 520], [402, 520, 521], [402, 521, 404], [402, 404, 403], [404, 521, 522], [404, 522, 523], [404, 523, 405], [405, 523, 524], [405, 524, 525], [405, 525, 407], [405, 407, 406], [407, 525, 526], [407, 526, 527], [407, 527, 409], [407, 409, 408], [409, 527, 528], [409, 528, 529], [409, 529, 411], [409, 411, 410], [411, 529, 530], [411, 530, 531], [411, 531, 413], [411, 413, 412], [413, 531, 532], [413, 532, 533], [413, 533, 415], [413, 415, 414], [415, 533, 534], [415, 534, 535], [415, 535, 417], [415, 417, 416], [535, 536, 419], [535, 419, 418], [535, 418, 417], [537, 538, 421], [537, 421, 420], [537, 420, 419], [537, 419, 536], [421, 538, 539], [421, 539, 540], [421, 540, 423], [421, 423, 422], [423, 540, 541], [423, 541, 542], [423, 542, 424], [424, 542, 543], [424, 543, 544], [424, 544, 426], [424, 426, 425], [427, 426, 544], [427, 544, 545], [427, 545, 546], [427, 546, 428], [428, 546, 547], [428, 547, 548], [428, 548, 430], [428, 430, 429], [430, 548, 549], [430, 549, 550], [430, 550, 551], [430, 551, 432], [430, 432, 431], [432, 551, 552], [432, 552, 553], [432, 553, 434], [432, 434, 433], [434, 553, 554], [434, 554, 555], [434, 555, 435], [435, 555, 556], [435, 556, 557], [435, 557, 437], [435, 437, 436], [437, 557, 558], [437, 558, 559], [437, 559, 439], [437, 439, 438], [439, 559, 560], [439, 560, 441], [439, 441, 440], [441, 560, 561], [441, 561, 562], [441, 562, 443], [441, 443, 442], [443, 562, 563], [443, 563, 564], [443, 564, 445], [443, 445, 444], [445, 564, 565], [445, 565, 566], [445, 566, 447], [445, 447, 446], [566, 567, 568], [566, 568, 449], [566, 449, 448], [566, 448, 447], [449, 568, 569], [449, 569, 450], [449, 450, 339], [449, 339, 338], [452, 451, 570], [452, 570, 571], [452, 571, 572], [452, 572, 453], [453, 572, 573], [453, 573, 574], [453, 574, 455], [453, 455, 454], [455, 574, 575], [455, 575, 576], [455, 576, 457], [455, 457, 456], [457, 576, 577], [457, 577, 578], [457, 578, 459], [457, 459, 458], [459, 578, 579], [459, 579, 580], [459, 580, 461], [459, 461, 460], [461, 580, 581], [461, 581, 463], [461, 463, 462], [463, 581, 582], [463, 582, 583], [463, 583, 465], [463, 465, 464], [465, 583, 584], [465, 584, 585], [465, 585, 467], [465, 467, 466], [467, 585, 586], [467, 586, 587], [467, 587, 469], [467, 469, 468], [469, 587, 588], [469, 588, 589], [469, 589, 471], [469, 471, 470], [471, 589, 590], [471, 590, 591], [471, 591, 473], [471, 473, 472], [473, 591, 592], [473, 592, 593], [473, 593, 475], [473, 475, 474], [475, 593, 594], [475, 594, 595], [475, 595, 476], [476, 595, 596], [476, 596, 597], [476, 597, 478], [476, 478, 477], [478, 597, 598], [478, 598, 599], [478, 599, 480], [478, 480, 479], [480, 599, 600], [480, 600, 482], [480, 482, 481], [482, 600, 601], [482, 601, 602], [482, 602, 484], [482, 484, 483], [485, 484, 602], [485, 602, 603], [485, 603, 604], [485, 604, 486], [486, 604, 605], [486, 605, 606], [486, 606, 488], [486, 488, 487], [490, 489, 488], [490, 488, 606], [490, 606, 607], [490, 607, 608], [490, 608, 491], [491, 608, 609], [491, 609, 610], [491, 610, 493], [491, 493, 492], [493, 610, 611], [493, 611, 495], [493, 495, 494], [495, 611, 612], [495, 612, 613], [495, 613, 497], [495, 497, 496], [497, 613, 614], [497, 614, 615], [497, 615, 499], [497, 499, 498], [499, 615, 616], [499, 616, 617], [499, 617, 500], [500, 617, 618], [500, 618, 619], [500, 619, 502], [500, 502, 501], [619, 620, 621], [619, 621, 504], [619, 504, 503], [619, 503, 502], [621, 622, 623], [621, 623, 506], [621, 506, 505], [621, 505, 504], [507, 506, 623], [507, 623, 624], [507, 624, 625], [507, 625, 508], [508, 625, 626], [508, 626, 627], [508, 627, 510], [508, 510, 509], [510, 627, 628], [510, 628, 512], [510, 512, 511], [513, 512, 628], [513, 628, 629], [513, 629, 630], [513, 630, 514], [515, 514, 630], [515, 630, 631], [515, 631, 632], [515, 632, 516], [516, 632, 633], [516, 633, 634], [516, 634, 518], [516, 518, 517], [518, 634, 635], [518, 635, 636], [518, 636, 520], [518, 520, 519], [520, 636, 637], [520, 637, 638], [520, 638, 522], [520, 522, 521], [522, 638, 639], [522, 639, 640], [522, 640, 524], [522, 524, 523], [524, 640, 641], [524, 641, 642], [524, 642, 526], [524, 526, 525], [526, 642, 643], [526, 643, 644], [526, 644, 528], [526, 528, 527], [528, 644, 645], [528, 645, 530], [528, 530, 529], [530, 645, 646], [530, 646, 647], [530, 647, 532], [530, 532, 531], [532, 647, 648], [532, 648, 649], [532, 649, 534], [532, 534, 533], [534, 649, 650], [534, 650, 651], [534, 651, 537], [534, 537, 536], [534, 536, 535], [651, 652, 653], [651, 653, 539], [651, 539, 538], [651, 538, 537], [653, 654, 541], [653, 541, 540], [653, 540, 539], [541, 654, 655], [541, 655, 656], [541, 656, 543], [541, 543, 542], [544, 543, 656], [544, 656, 657], [544, 657, 658], [544, 658, 545], [545, 658, 659], [545, 659, 660], [545, 660, 547], [545, 547, 546], [547, 660, 661], [547, 661, 662], [547, 662, 549], [547, 549, 548], [549, 662, 663], [549, 663, 664], [549, 664, 550], [550, 664, 665], [550, 665, 666], [550, 666, 552], [550, 552, 551], [552, 666, 667], [552, 667, 554], [552, 554, 553], [554, 667, 668], [554, 668, 669], [554, 669, 556], [554, 556, 555], [556, 669, 670], [556, 670, 671], [556, 671, 558], [556, 558, 557], [558, 671, 672], [558, 672, 673], [558, 673, 561], [558, 561, 560], [558, 560, 559], [561, 673, 674], [561, 674, 675], [561, 675, 563], [561, 563, 562], [563, 675, 676], [563, 676, 677], [563, 677, 565], [563, 565, 564], [565, 677, 678], [565, 678, 567], [565, 567, 566], [678, 679, 680], [678, 680, 681], [678, 681, 569], [678, 569, 568], [678, 568, 567], [569, 681, 570], [569, 570, 451], [569, 451, 450], [571, 682, 683], [571, 683, 573], [571, 573, 572], [573, 683, 684], [573, 684, 685], [573, 685, 575], [573, 575, 574], [575, 685, 686], [575, 686, 687], [575, 687, 577], [575, 577, 576], [577, 687, 688], [577, 688, 689], [577, 689, 579], [577, 579, 578], [579, 689, 690], [579, 690, 582], [579, 582, 581], [579, 581, 580], [582, 690, 691], [582, 691, 692], [582, 692, 584], [582, 584, 583], [584, 692, 693], [584, 693, 694], [584, 694, 586], [584, 586, 585], [586, 694, 695], [586, 695, 696], [586, 696, 588], [586, 588, 587], [588, 696, 697], [588, 697, 698], [588, 698, 590], [588, 590, 589], [590, 698, 699], [590, 699, 700], [590, 700, 592], [590, 592, 591], [592, 700, 701], [592, 701, 702], [592, 702, 594], [592, 594, 593], [594, 702, 703], [594, 703, 704], [594, 704, 596], [594, 596, 595], [596, 704, 705], [596, 705, 706], [596, 706, 598], [596, 598, 597], [598, 706, 707], [598, 707, 601], [598, 601, 600], [598, 600, 599], [601, 707, 708], [601, 708, 709], [601, 709, 603], [601, 603, 602], [603, 709, 710], [603, 710, 711], [603, 711, 605], [603, 605, 604], [606, 605, 711], [606, 711, 712], [606, 712, 713], [606, 713, 607], [607, 713, 714], [607, 714, 715], [607, 715, 609], [607, 609, 608], [609, 715, 716], [609, 716, 717], [609, 717, 612], [609, 612, 611], [609, 611, 610], [612, 717, 718], [612, 718, 719], [612, 719, 614], [612, 614, 613], [614, 719, 720], [614, 720, 721], [614, 721, 616], [614, 616, 615], [616, 721, 722], [616, 722, 723], [616, 723, 618], [616, 618, 617], [618, 723, 724], [618, 724, 620], [618, 620, 619], [724, 725, 726], [724, 726, 622], [724, 622, 621], [724, 621, 620], [623, 622, 726], [623, 726, 727], [623, 727, 728], [623, 728, 624], [624, 728, 729], [624, 729, 730], [624, 730, 626], [624, 626, 625], [628, 627, 626], [628, 626, 730], [628, 730, 731], [628, 731, 629], [630, 629, 731], [630, 731, 732], [630, 732, 733], [630, 733, 631], [631, 733, 734], [631, 734, 735], [631, 735, 633], [631, 633, 632], [633, 735, 736], [633, 736, 635], [633, 635, 634], [635, 736, 737], [635, 737, 738], [635, 738, 739], [635, 739, 637], [635, 637, 636], [637, 739, 740], [637, 740, 639], [637, 639, 638], [639, 740, 741], [639, 741, 742], [639, 742, 743], [639, 743, 641], [639, 641, 640], [641, 743, 744], [641, 744, 643], [641, 643, 642], [643, 744, 745], [643, 745, 746], [643, 746, 747], [643, 747, 646], [643, 646, 645], [643, 645, 644], [646, 747, 748], [646, 748, 648], [646, 648, 647], [648, 748, 749], [648, 749, 750], [648, 750, 751], [648, 751, 650], [648, 650, 649], [650, 751, 752], [650, 752, 652], [650, 652, 651], [752, 753, 754], [752, 754, 655], [752, 655, 654], [752, 654, 653], [752, 653, 652], [656, 655, 754], [656, 754, 755], [656, 755, 657], [657, 755, 756], [657, 756, 659], [657, 659, 658], [659, 756, 757], [659, 757, 758], [659, 758, 759], [659, 759, 661], [659, 661, 660], [661, 759, 760], [661, 760, 663], [661, 663, 662], [663, 760, 761], [663, 761, 762], [663, 762, 665], [663, 665, 664], [665, 762, 763], [665, 763, 764], [665, 764, 668], [665, 668, 667], [665, 667, 666], [668, 764, 765], [668, 765, 766], [668, 766, 670], [668, 670, 669], [670, 766, 767], [670, 767, 768], [670, 768, 672], [670, 672, 671], [672, 768, 769], [672, 769, 770], [672, 770, 674], [672, 674, 673], [674, 770, 771], [674, 771, 772], [674, 772, 676], [674, 676, 675], [676, 772, 773], [676, 773, 774], [676, 774, 679], [676, 679, 678], [676, 678, 677], [774, 775, 776], [774, 776, 680], [774, 680, 679], [570, 681, 680], [570, 680, 776], [570, 776, 777], [570, 777, 682], [570, 682, 571], [777, 778, 779], [777, 779, 684], [777, 684, 683], [777, 683, 682], [684, 779, 780], [684, 780, 781], [684, 781, 686], [684, 686, 685], [686, 781, 782], [686, 782, 783], [686, 783, 688], [686, 688, 687], [688, 783, 784], [688, 784, 785], [688, 785, 691], [688, 691, 690], [688, 690, 689], [691, 785, 786], [691, 786, 693], [691, 693, 692], [693, 786, 787], [693, 787, 788], [693, 788, 695], [693, 695, 694], [695, 788, 789], [695, 789, 790], [695, 790, 697], [695, 697, 696], [697, 790, 791], [697, 791, 792], [697, 792, 699], [697, 699, 698], [699, 792, 793], [699, 793, 794], [699, 794, 701], [699, 701, 700], [701, 794, 795], [701, 795, 796], [701, 796, 703], [701, 703, 702], [703, 796, 797], [703, 797, 798], [703, 798, 705], [703, 705, 704], [705, 798, 799], [705, 799, 708], [705, 708, 707], [705, 707, 706], [708, 799, 800], [708, 800, 801], [708, 801, 710], [708, 710, 709], [711, 710, 801], [711, 801, 802], [711, 802, 803], [711, 803, 712], [712, 803, 804], [712, 804, 805], [712, 805, 714], [712, 714, 713], [714, 805, 806], [714, 806, 807], [714, 807, 716], [714, 716, 715], [716, 807, 808], [716, 808, 809], [716, 809, 718], [716, 718, 717], [718, 809, 810], [718, 810, 811], [718, 811, 720], [718, 720, 719], [720, 811, 812], [720, 812, 722], [720, 722, 721], [722, 812, 813], [722, 813, 814], [722, 814, 815], [722, 815, 725], [722, 725, 724], [722, 724, 723], [815, 816, 727], [815, 727, 726], [815, 726, 725], [729, 728, 727], [729, 727, 816], [729, 816, 817], [731, 730, 729], [731, 729, 817], [731, 817, 818], [731, 818, 732], [732, 818, 819], [732, 819, 820], [732, 820, 734], [732, 734, 733], [734, 820, 821], [734, 821, 822], [734, 822, 737], [734, 737, 736], [734, 736, 735], [737, 822, 823], [737, 823, 824], [737, 824, 738], [738, 824, 825], [738, 825, 741], [738, 741, 740], [738, 740, 739], [741, 825, 826], [741, 826, 827], [741, 827, 828], [741, 828, 742], [742, 828, 745], [742, 745, 744], [742, 744, 743], [745, 828, 827], [745, 827, 829], [745, 829, 830], [745, 830, 831], [745, 831, 832], [745, 832, 746], [746, 832, 833], [746, 833, 749], [746, 749, 748], [746, 748, 747], [749, 833, 834], [749, 834, 835], [749, 835, 750], [750, 835, 836], [750, 836, 837], [750, 837, 753], [750, 753, 752], [750, 752, 751], [837, 757, 756], [837, 756, 755], [837, 755, 754], [837, 754, 753], [836, 838, 839], [836, 839, 840], [836, 840, 758], [836, 758, 757], [836, 757, 837], [758, 840, 761], [758, 761, 760], [758, 760, 759], [761, 840, 839], [761, 839, 841], [761, 841, 763], [761, 763, 762], [763, 841, 842], [763, 842, 843], [763, 843, 765], [763, 765, 764], [765, 843, 844], [765, 844, 845], [765, 845, 767], [765, 767, 766], [767, 845, 846], [767, 846, 847], [767, 847, 848], [767, 848, 769], [767, 769, 768], [769, 848, 849], [769, 849, 850], [769, 850, 771], [769, 771, 770], [771, 850, 851], [771, 851, 773], [771, 773, 772], [773, 851, 852], [773, 852, 853], [773, 853, 775], [773, 775, 774], [776, 775, 853], [776, 853, 778], [776, 778, 777], [852, 854, 855], [852, 855, 856], [852, 856, 780], [852, 780, 779], [852, 779, 778], [852, 778, 853], [780, 856, 857], [780, 857, 858], [780, 858, 782], [780, 782, 781], [782, 858, 859], [782, 859, 860], [782, 860, 784], [782, 784, 783], [784, 860, 861], [784, 861, 787], [784, 787, 786], [784, 786, 785], [787, 861, 862], [787, 862, 863], [787, 863, 789], [787, 789, 788], [789, 863, 864], [789, 864, 865], [789, 865, 791], [789, 791, 790], [791, 865, 866], [791, 866, 867], [791, 867, 793], [791, 793, 792], [793, 867, 868], [793, 868, 869], [793, 869, 795], [793, 795, 794], [795, 869, 870], [795, 870, 797], [795, 797, 796], [797, 870, 871], [797, 871, 872], [797, 872, 800], [797, 800, 799], [797, 799, 798], [801, 800, 872], [801, 872, 873], [801, 873, 874], [801, 874, 802], [802, 874, 875], [802, 875, 876], [802, 876, 804], [802, 804, 803], [804, 876, 877], [804, 877, 878], [804, 878, 806], [804, 806, 805], [806, 878, 879], [806, 879, 880], [806, 880, 808], [806, 808, 807], [808, 880, 881], [808, 881, 882], [808, 882, 810], [808, 810, 809], [810, 882, 813], [810, 813, 812], [810, 812, 811], [813, 882, 881], [813, 881, 883], [813, 883, 884], [813, 884, 885], [813, 885, 814], [817, 816, 815], [817, 815, 814], [817, 814, 885], [817, 885, 819], [817, 819, 818], [819, 885, 884], [819, 884, 886], [819, 886, 821], [819, 821, 820], [821, 886, 887], [821, 887, 888], [821, 888, 823], [821, 823, 822], [823, 888, 889], [823, 889, 890], [823, 890, 826], [823, 826, 825], [823, 825, 824], [889, 891, 892], [889, 892, 893], [889, 893, 890], [826, 890, 893], [826, 893, 894], [826, 894, 895], [826, 895, 829], [826, 829, 827], [894, 896, 897], [894, 897, 898], [894, 898, 899], [894, 899, 900], [894, 900, 895], [829, 895, 900], [829, 900, 901], [829, 901, 830], [830, 901, 902], [830, 902, 903], [830, 903, 831], [831, 903, 904], [831, 904, 905], [831, 905, 834], [831, 834, 833], [831, 833, 832], [834, 905, 906], [834, 906, 838], [834, 838, 836], [834, 836, 835], [904, 907, 908], [904, 908, 909], [904, 909, 910], [904, 910, 906], [904, 906, 905], [906, 910, 842], [906, 842, 841], [906, 841, 839], [906, 839, 838], [842, 910, 909], [842, 909, 911], [842, 911, 912], [842, 912, 913], [842, 913, 844], [842, 844, 843], [844, 913, 914], [844, 914, 846], [844, 846, 845], [846, 914, 915], [846, 915, 916], [846, 916, 917], [846, 917, 847], [847, 917, 918], [847, 918, 919], [847, 919, 849], [847, 849, 848], [918, 920, 855], [918, 855, 854], [918, 854, 919], [849, 919, 854], [849, 854, 852], [849, 852, 851], [849, 851, 850], [855, 920, 921], [855, 921, 922], [855, 922, 923], [855, 923, 857], [855, 857, 856], [857, 923, 924], [857, 924, 859], [857, 859, 858], [859, 924, 925], [859, 925, 926], [859, 926, 927], [859, 927, 862], [859, 862, 861], [859, 861, 860], [862, 927, 928], [862, 928, 929], [862, 929, 864], [862, 864, 863], [864, 929, 930], [864, 930, 931], [864, 931, 866], [864, 866, 865], [866, 931, 932], [866, 932, 868], [866, 868, 867], [868, 932, 933], [868, 933, 871], [868, 871, 870], [868, 870, 869], [872, 871, 933], [872, 933, 934], [872, 934, 935], [872, 935, 873], [873, 935, 936], [873, 936, 875], [873, 875, 874], [875, 936, 937], [875, 937, 938], [875, 938, 877], [875, 877, 876], [877, 938, 939], [877, 939, 940], [877, 940, 941], [877, 941, 879], [877, 879, 878], [879, 941, 942], [879, 942, 883], [879, 883, 881], [879, 881, 880], [942, 941, 940], [942, 940, 943], [942, 943, 944], [942, 944, 945], [884, 883, 942], [884, 942, 945], [884, 945, 946], [884, 946, 887], [884, 887, 886], [887, 946, 947], [887, 947, 891], [887, 891, 889], [887, 889, 888], [947, 948, 949], [947, 949, 892], [947, 892, 891], [893, 892, 949], [893, 949, 950], [893, 950, 951], [893, 951, 896], [893, 896, 894], [951, 952, 953], [951, 953, 897], [951, 897, 896], [897, 953, 954], [897, 954, 955], [897, 955, 898], [898, 955, 956], [898, 956, 957], [898, 957, 958], [898, 958, 899], [900, 899, 958], [900, 958, 959], [900, 959, 902], [900, 902, 901], [902, 959, 960], [902, 960, 907], [902, 907, 904], [902, 904, 903], [960, 961, 962], [960, 962, 963], [960, 963, 908], [960, 908, 907], [908, 963, 964], [908, 964, 911], [908, 911, 909], [911, 964, 965], [911, 965, 966], [911, 966, 967], [911, 967, 912], [912, 967, 968], [912, 968, 915], [912, 915, 914], [912, 914, 913], [915, 968, 969], [915, 969, 922], [915, 922, 921], [915, 921, 916], [916, 921, 920], [916, 920, 918], [916, 918, 917], [969, 970, 971], [969, 971, 925], [969, 925, 924], [969, 924, 923], [969, 923, 922], [925, 971, 972], [925, 972, 973], [925, 973, 926], [926, 973, 974], [926, 974, 975], [926, 975, 976], [926, 976, 928], [926, 928, 927], [928, 976, 977], [928, 977, 978], [928, 978, 979], [928, 979, 930], [928, 930, 929], [933, 932, 931], [933, 931, 930], [933, 930, 979], [933, 979, 934], [934, 979, 978], [934, 978, 937], [934, 937, 936], [934, 936, 935], [937, 978, 977], [937, 977, 980], [937, 980, 981], [937, 981, 939], [937, 939, 938], [939, 981, 982], [939, 982, 943], [939, 943, 940], [943, 982, 983], [943, 983, 984], [943, 984, 985], [943, 985, 944], [945, 944, 985], [945, 985, 986], [945, 986, 948], [945, 948, 947], [945, 947, 946], [949, 948, 986], [949, 986, 987], [949, 987, 950], [950, 987, 988], [950, 988, 989], [950, 989, 952], [950, 952, 951], [989, 990, 991], [989, 991, 954], [989, 954, 953], [989, 953, 952], [954, 991, 992], [954, 992, 993], [954, 993, 956], [954, 956, 955], [956, 993, 994], [956, 994, 995], [956, 995, 957], [958, 957, 995], [958, 995, 996], [958, 996, 961], [958, 961, 960], [958, 960, 959], [996, 997, 998], [996, 998, 999], [996, 999, 962], [996, 962, 961], [962, 999, 1000], [962, 1000, 965], [962, 965, 964], [962, 964, 963], [965, 1000, 1001], [965, 1001, 972], [965, 972, 971], [965, 971, 970], [965, 970, 966], [966, 970, 969], [966, 969, 968], [966, 968, 967], [1001, 1002, 1003], [1001, 1003, 974], [1001, 974, 973], [1001, 973, 972], [974, 1003, 1004], [974, 1004, 1005], [974, 1005, 1006], [974, 1006, 1007], [974, 1007, 975], [977, 976, 975], [977, 975, 1007], [977, 1007, 980], [980, 1007, 1006], [980, 1006, 983], [980, 983, 982], [980, 982, 981], [983, 1006, 1005], [983, 1005, 1008], [983, 1008, 1009], [983, 1009, 984], [985, 984, 1009], [985, 1009, 1010], [985, 1010, 988], [985, 988, 987], [985, 987, 986], [988, 1010, 1011], [988, 1011, 1012], [988, 1012, 990], [988, 990, 989], [1012, 1013, 992], [1012, 992, 991], [1012, 991, 990], [992, 1013, 1014], [992, 1014, 1015], [992, 1015, 994], [992, 994, 993], [995, 994, 1015], [995, 1015, 1016], [995, 1016, 997], [995, 997, 996], [1016, 1017, 1004], [1016, 1004, 1003], [1016, 1003, 1002], [1016, 1002, 998], [1016, 998, 997], [998, 1002, 1001], [998, 1001, 1000], [998, 1000, 999], [1005, 1004, 1017], [1005, 1017, 1018], [1005, 1018, 1008], [1009, 1008, 1018], [1009, 1018, 1019], [1009, 1019, 1011], [1009, 1011, 1010], [1011, 1019, 1014], [1011, 1014, 1013], [1011, 1013, 1012], [1015, 1014, 1019], [1015, 1019, 1018], [1015, 1018, 1017], [1015, 1017, 1016], ];
</script>
<script type="text/javascript" src="js/sylvester.js"></script><script type="text/javascript" src="js/model.js"></script><script type="text/javascript" src="js/light-curve.js"></script><script>
"use strict";
// Default values.
const DEFAULT_CANVAS_SIZE_PX = Number(300);
// Limits.
var JD_MIN = 2086308; // Minimum allowed JD.
var JD_MAX = 2816788; // Maximum allowed JD.
// Universal constants.
var C_AU_JD = 173.14463; // Speed of light in au/JD.
var J2000_JD = 2451545.0; // Julian date of the 01/01/2000 12h.
var DEG_TO_RAD = Math.PI / 180; // Conversion factor: from deg to rad.
var RAD_TO_DEG = 180 / Math.PI; // Conversion factor: from rad to deg.
var AU_KM = 149597870.7; // Astronomical unit in kilometers.
// Model constants.
var AST_ID = 102;
// Model physical parameters.
var cal_size = 1;
var equiv_diameter = 252;
var equiv_diameter_err = 29;
// Model orbital parameters. (angles in degrees, period in hours)
var lambda = Number(103);
var beta = Number(27);
var period = Number(7.209531);
var jd0 = Number(2434752.77932);
var phi0 = Number(0);
// Ephemerides (will be set by an AJAX request).
var ephems = {};
// Transform vertexes into vectors.
var vertexes = vertexes.map($V);
// Normalise the vertexes.
var max_vertex_len = 0;
for (var i = 0; i < vertexes.length; i++) {
var len = vertexes[i].modulus();
if (len > max_vertex_len) max_vertex_len = len;
}
var vertex_norm_factor = 1 / max_vertex_len;
var vertexes_normalised = vertexes.map(function(v) {
return v.multiply(vertex_norm_factor);
});
// Derive vertex and face normals.
var vertex_normals = Model.get_vertex_normals(vertexes, faces);
var face_normals = Model.get_face_normals(vertexes, faces);
/**
* Return Earth's obliquity of the ecliptic (epsilon) in degrees for a given
* Julian Date (JD).
* */
function getEpsilon(jd) {
var t_ecl = (jd - J2000_JD) / 36525; // Time delta in Julian centuries.
var e0 = 23. + 26. / 60 + 21.448 / 3600; // 23.439291
var e1 = -46.8150 / 3600; // 0.013004167
var e2 = -0.00059 / 3600; // 1.6388889e-07
var e3 = +0.001813 / 3600; // 5.0361111e-07
var epsilon = e0 + e1 * t_ecl + e2 * Math.pow(t_ecl, 2.) + e3 * Math.pow(t_ecl, 3.); // in degrees
return epsilon; // in degrees
}
/**
* Get the retarded Julian Date for an object at a given location.
*
* @param Number jd Julian Date.
* @param Array location Geocentric XYZ coordinates of the object (asteroid) in
* au.
* @return Number Retarded Julian Date.
* */
function getRetardedJD(jd, location) {
var v = $V(location);
var distance = v.modulus(); // In au
var delay = distance / C_AU_JD; // In JD
var jd_ast_ret = jd - delay;
return jd_ast_ret;
}
/** Draw model onto the canvas.
*
* @param Object canvas Canvas where to draw.
* @param Array observer_location 3 Numbers giving the asteroidcentric location
* of the observer.
* @param Array light_location 3 Numbers giving the asteroidcentric location of
* the light source (typically the Sun).
* @param Number ambient Ambient light level.
* @param String shading Shading type (flat|gouraud)
* @return void
* */
function draw_model(canvas, observer_location, light_location, ambient, shading) {
// JD at Earth -- the time for which we want to draw the model.
var jd = Number(document.getElementById("jd").value);
// Retarded JD.
var jd_ast_ret = getRetardedJD(jd, observer_location);
var epsilon = getEpsilon(jd); // in degrees
// Rotate the vertexes.
var rotation_rad = [
(phi0 + (jd_ast_ret - jd0) / period * 24 * 360) * DEG_TO_RAD,
(90. - beta) * DEG_TO_RAD,
lambda * DEG_TO_RAD,
epsilon * DEG_TO_RAD
];
var tr_vertexes = Model.rotate_vectors(vertexes_normalised, rotation_rad);
// Draw the model.
let drawResult = {};
if (shading == "flat") {
// Flat shading
var tr_face_normals = Model.rotate_vectors(face_normals, rotation_rad);
drawResult = Model.draw(canvas, tr_vertexes, faces, ambient, light_location, observer_location, tr_face_normals, null);
} else if (shading == "gouraud") {
// Gouraud shading
var tr_vertex_normals = Model.rotate_vectors(vertex_normals, rotation_rad);
drawResult = Model.draw(canvas, tr_vertexes, faces, ambient, light_location, observer_location, null, tr_vertex_normals);
} else {
throw "Invalid shading type.";
}
if (Array.isArray(drawResult.errors) && drawResult.errors.includes("too-close-to-pole")) {
$("#alert-ajax-too-close-to-pole").show(400);
}
}
/** Clear the canvas */
function clearCanvas(canvas) {
var ctx = canvas.getContext('2d');
ctx.clearRect(0, 0, canvas.width, canvas.height);
}
/** Derive model's surface and volume.
*
* Based on Dobrovolskis (1996) (1996Icar..124..698D).
*/
function getSurfVol(vertexes, faces) {
var surface = 0;
var surfaces = [];
var volume = 0;
for (var i = 0; i < faces.length; i++) {
var face = faces[i];
var d = vertexes[face[0]];
var e = vertexes[face[1]];
var f = vertexes[face[2]];
var g = e.subtract(d);
var h = f.subtract(d);
var n = g.cross(h);
var ds = n.modulus() / 2;
surfaces.push(ds)
var dv = f.dot(n) / 6;
surface += ds;
volume += dv;
}
return {
surface: surface,
surfaces: surfaces,
volume: volume,
}
}
/**
* Convert a vector from cartesian to spherical coordinates.
*
* @param Array vector 3 Numbers giving the cartesian components of the vector.
* @return Array 3 Numbers giving the vector's radius, longitude, and latitude.
* */
function cartesianToSpherical(vector) {
var x = vector[0];
var y = vector[1];
var z = vector[2];
var radius = Math.sqrt(x * x + y * y + z * z);
var longitude = Math.atan2(y, x); // -PI..+PI
if (longitude < 0) {
longitude += 2 * Math.PI
}; // Convert to 0..2PI
var latitude = Math.atan2(z, Math.sqrt(x * x + y * y)); // -PI..+PI
//if (latitude < 0) {
// latitude += 2 * Math.PI
//}; // Convert to 0..2PI
return [radius, longitude, latitude];
}
/**
* Convert a cartesian XYZ vector from equatorial to asteroid-local coordinates.
*
* @param Array vector 3 Numbers giving the XYZ components of the vector.
* @param Number jd
* @param Number lambda (in rad)
* @param Number beta (in rad)
* @param Number period
* @param Number jd0
* @param Number phi0 (in rad)
* @return Array 3 Numbers givin the XYZ coordinates of the vector in the
* asteroid's reference frame.
* */
function equatorialToAsteroid(vector, jd, lambda, beta, period, jd0, phi0) {
var epsilon = getEpsilon(jd);
var v = $V(vector);
var v = v.rotate(-epsilon * DEG_TO_RAD, $L([0, 0, 0], [1, 0, 0]));
var v = v.rotate(-lambda * DEG_TO_RAD, $L([0, 0, 0], [0, 0, 1]));
var v = v.rotate(-(Math.PI / 2 - beta * DEG_TO_RAD), $L([0, 0, 0], [0, 1, 0]));
var v = v.rotate(-(phi0 * DEG_TO_RAD + (jd - jd0) / period * 24 * 360 * DEG_TO_RAD), $L([0, 0, 0], [0, 0, 1]));
return v.elements;
}
/**
* Return the bisector of two vectors.
*
* @param Array vector1
* @param Array vector2
* @return Array 3 Numbers giving the bisector of the two vectors (not
* normalized).
* */
function getBisector(vector1, vector2) {
var v1 = $V(vector1);
var v2 = $V(vector2);
// Normalize vectors.
v1 = v1.multiply(1 / v1.modulus());
v2 = v2.multiply(1 / v2.modulus());
return v1.add(v2).elements;
}
/**
* Return the phase angle (in rad) of two vectors.
* */
function getPhaseAngle(vector1, vector2) {
var v1 = $V(vector1);
var v2 = $V(vector2);
return v1.angleFrom(v2);
}
/** Get all needed sky-projection details. */
function getSkyProjDetails(max_r_model, max_r_img, geo_d_au, img_px,
jd, lambda, beta, period, jd0, phi0) {
var px_model = img_px * Model.MAX_R_IMG / max_r_model;
var sv = getSurfVol(vertexes, faces);
var surf_equiv_r = Math.sqrt(sv.surface / Math.PI) / 2;
var vol_equiv_r = Math.cbrt(3 * sv.volume / 4 / Math.PI);
var surf_equiv_diam_px = surf_equiv_r * 2 * px_model;
var vol_equiv_diam_px = vol_equiv_r * 2 * px_model;
if (cal_size) {
// Model size is calibrated.
var img_size_km = max_r_model / max_r_img;
var img_size_mas = img_size_km / (geo_d_au * AU_KM) / DEG_TO_RAD * 60 * 60 * 1000;
var px_size_km = img_size_km / img_px;
var px_size_mas = img_size_mas / img_px;
var size_uncert_pct = equiv_diameter_err / equiv_diameter * 100;
} else {
// Model size is NOT calibrated.
var img_size_km = NaN;
var img_size_mas = NaN;
var px_size_km = NaN;
var px_size_mas = NaN;
var size_uncert_pct = NaN;
}
var jd_ast_ret = getRetardedJD(jd, getEarthLocation());
// Subsolar point.
var sun_ast_cart = equatorialToAsteroid(getSunLocation(), jd_ast_ret, lambda, beta, period, jd0, phi0);
var sun_ast_sph = cartesianToSpherical(sun_ast_cart);
var subsolar_point_longitude_deg = sun_ast_sph[1] * RAD_TO_DEG;
var subsolar_point_latitude_deg = sun_ast_sph[2] * RAD_TO_DEG;
// Subearth point.
var earth_ast_cart = equatorialToAsteroid(getEarthLocation(), jd_ast_ret, lambda, beta, period, jd0, phi0);
var earth_ast_sph = cartesianToSpherical(earth_ast_cart);
var subearth_point_longitude_deg = earth_ast_sph[1] * RAD_TO_DEG;
var subearth_point_latitude_deg = earth_ast_sph[2] * RAD_TO_DEG;
// Phase angle bisector.
var pab_ast_cart = getBisector(sun_ast_cart, earth_ast_cart);
var pab_ast_sph = cartesianToSpherical(pab_ast_cart);
var phase_angle_bisector_longitude_deg = pab_ast_sph[1] * RAD_TO_DEG;
var phase_angle_bisector_latitude_deg = pab_ast_sph[2] * RAD_TO_DEG;
// Solar phase angle.
var spa_ast = getPhaseAngle(sun_ast_cart, earth_ast_cart);
var solar_phase_angle_deg = spa_ast * RAD_TO_DEG;
return {
jd,
img_size_km,
img_size_mas,
px_size_km,
px_size_mas,
size_uncert_pct,
vol_equiv_diam_px,
surf_equiv_diam_px,
subsolar_point_longitude_deg,
subsolar_point_latitude_deg,
subearth_point_longitude_deg,
subearth_point_latitude_deg,
phase_angle_bisector_longitude_deg,
phase_angle_bisector_latitude_deg,
solar_phase_angle_deg,
}
}
/** Update projection details in the DOM. */
function updateSkyProjDetails() {
var img_size_px = Number(document.getElementById("image_size_px_input").value);
var skyProjValues = getSkyProjDetails(
max_vertex_len,
Model.MAX_R_IMG,
Number(ephems.geo.d),
img_size_px,
document.getElementById("jd").value,
lambda, beta, period, jd0, phi0
);
if (isFinite(skyProjValues.size_uncert_pct)) {
var uncert = " (± " + skyProjValues.size_uncert_pct.toPrecision(2) + "%)";
} else {
var uncert = " (with unknown uncertainty)";
}
var NA = "n/a";
var NOT_CALIBRATED = "n/a (model size not calibrated)";
var jd = NA;
var img_size_km = NOT_CALIBRATED;
var img_size_mas = NOT_CALIBRATED;
var px_size_km = NOT_CALIBRATED;
var px_size_mas = NOT_CALIBRATED;
var vol_equiv_diam_px = NA;
var surf_equiv_diam_px = NA;
var subsolar_point_longitude_deg = NA;
var subsolar_point_latitude_deg = NA;
var subearth_point_longitude_deg = NA;
var subearth_point_latitude_deg = NA;
var phase_angle_bisector_longitude_deg = NA;
var phase_angle_bisector_latitude_deg = NA;
var solar_phase_angle_deg = NA;
if (isFinite(skyProjValues.jd)) {
jd = skyProjValues.jd;
}
if (isFinite(skyProjValues.img_size_km)) {
img_size_km = skyProjValues.img_size_km.toFixed(2) + uncert;
}
if (isFinite(skyProjValues.img_size_mas)) {
img_size_mas = skyProjValues.img_size_mas.toFixed(2) + uncert;
}
if (isFinite(skyProjValues.px_size_km)) {
px_size_km = skyProjValues.px_size_km.toPrecision(5) + uncert;
}
if (isFinite(skyProjValues.px_size_mas)) {
px_size_mas = skyProjValues.px_size_mas.toPrecision(5) + uncert;
}
if (isFinite(skyProjValues.vol_equiv_diam_px)) {
vol_equiv_diam_px = skyProjValues.vol_equiv_diam_px.toFixed(2);
}
if (isFinite(skyProjValues.surf_equiv_diam_px)) {
surf_equiv_diam_px = skyProjValues.surf_equiv_diam_px.toFixed(2);
}
if (isFinite(skyProjValues.subsolar_point_longitude_deg)) {
subsolar_point_longitude_deg = skyProjValues.subsolar_point_longitude_deg.toFixed(1);
}
if (isFinite(skyProjValues.subsolar_point_latitude_deg)) {
subsolar_point_latitude_deg = skyProjValues.subsolar_point_latitude_deg.toFixed(1);
}
if (isFinite(skyProjValues.subearth_point_longitude_deg)) {
subearth_point_longitude_deg = skyProjValues.subearth_point_longitude_deg.toFixed(1);
}
if (isFinite(skyProjValues.subearth_point_latitude_deg)) {
subearth_point_latitude_deg = skyProjValues.subearth_point_latitude_deg.toFixed(1);
}
if (isFinite(skyProjValues.phase_angle_bisector_longitude_deg)) {
phase_angle_bisector_longitude_deg = skyProjValues.phase_angle_bisector_longitude_deg.toFixed(1);
}
if (isFinite(skyProjValues.phase_angle_bisector_latitude_deg)) {
phase_angle_bisector_latitude_deg = skyProjValues.phase_angle_bisector_latitude_deg.toFixed(1);
}
if (isFinite(skyProjValues.solar_phase_angle_deg)) {
solar_phase_angle_deg = skyProjValues.solar_phase_angle_deg.toFixed(1);
}
$("#proj_detail_jd").html(jd);
$("#img_size_px").html(img_size_px);
$("#img_size_km").html(img_size_km);
$("#img_size_mas").html(img_size_mas);
$("#px_size_km").html(px_size_km);
$("#px_size_mas").html(px_size_mas);
$("#vol_equiv_diam_px").html(vol_equiv_diam_px);
$("#surf_equiv_diam_px").html(surf_equiv_diam_px);
$("#subsolar_point_longitude_deg").html(subsolar_point_longitude_deg);
$("#subsolar_point_latitude_deg").html(subsolar_point_latitude_deg);
$("#subearth_point_longitude_deg").html(subearth_point_longitude_deg);
$("#subearth_point_latitude_deg").html(subearth_point_latitude_deg);
$("#phase_angle_bisector_longitude_deg").html(phase_angle_bisector_longitude_deg);
$("#phase_angle_bisector_latitude_deg").html(phase_angle_bisector_latitude_deg);
$("#solar_phase_angle_deg").html(solar_phase_angle_deg);
}
/** Return asteroid-centric XYZ coordinates of the Sun (in au). */
function getSunLocation() {
// Revert heliocentric XYZ coordinates of the asteroid (in au).
return [-Number(ephems.hel.x), -Number(ephems.hel.y), -Number(ephems.hel.z)];
}
/** Return asteroid-centric XYZ coordinates of Earth (in au). */
function getEarthLocation() {
// Revert geocentric XYZ coordinates of the asteroid (in au).
return [-Number(ephems.geo.x), -Number(ephems.geo.y), -Number(ephems.geo.z)];
}
/* Update the UTC field according to the JD field. */
function updateUtcField() {
var jdField = document.getElementById("jd");
var jd = Number(jdField.value);
var utcField = document.getElementById("utc");
if (jdField.value.trim() == "") {
$("#utc").text("");
} else if (jd || jd == 0) {
$("#utc").text(JDtoDate(jd).toUTCString());
} else {
$("#utc").text("Invalid JD");
}
}
/** Update the whole sky projection panel. */
function updateSkyProj() {
// Setup.
var canvas_sun = document.getElementById("canvas_sun");
var canvas_amb = document.getElementById("canvas_amb");
var jd = Number(document.getElementById("jd").value);
var loader_sun = document.getElementById("loader_sun");
var loader_amb = document.getElementById("loader_amb");
// Update canvas size.
var img_size_px = Number(document.getElementById("image_size_px_input").value);
canvas_sun.width = img_size_px;
canvas_sun.height = img_size_px;
canvas_amb.width = img_size_px;
canvas_amb.height = img_size_px;
// Highlight Today UTC noon button if JD = today UTC noon.
const now = new Date();
const todayUTCNoon = now.UTCNoon();
if (todayUTCNoon.toJD() == jd) {
document.getElementById("todayUTCNoonButton").classList.add("active");
} else {
document.getElementById("todayUTCNoonButton").classList.remove("active");
}
// Check limits.
if (jd < JD_MIN || jd > JD_MAX || !isFinite(jd)) {
alert("JD must be between " + JD_MIN + " and " + JD_MAX + ".");
return;
};
// Dismiss all previous alerts.
$("[id^=alert-ajax]").hide(400);
// Show loaders.
loader_sun.style.display = "inline";
loader_amb.style.display = "inline";
// Update the UTC field.
updateUtcField();
// Get the ephemerides.
// Caching based on https://stackoverflow.com/a/17104536
if (typeof updateSkyProj.cache == "undefined") {
updateSkyProj.cache = {
data: {},
exists: function(key) {
return updateSkyProj.cache.data.hasOwnProperty(key) && updateSkyProj.cache.data[key] !== null;
},
get: function(key) {
if (updateSkyProj.cache.exists(key)) {
return updateSkyProj.cache.data[key];
}
return null;
},
set: function(key, data) {
updateSkyProj.cache.data[key] = data;
}
}
}
// let url = "/projects/damit/asteroids/ephems/" + AST_ID + "/" + jd;
/*
let url = "https://astro.troja.mff.cuni.cz/projects/damit/asteroids/ephems/" + AST_ID + "/" + jd;
if (updateSkyProj.cache.exists(url)) {
handleEphemsResponse(updateSkyProj.cache.get(url));
loader_sun.style.display = "none";
loader_amb.style.display = "none";
} else {
$.ajax({
method: "GET",
url,
}).done(
function(new_ephems) {
updateSkyProj.cache.set(url, new_ephems);
handleEphemsResponse(new_ephems);
}
).fail(
function() {
clearCanvas(canvas_sun);
clearCanvas(canvas_amb);
$("#alert-ajax-failed").show(400);
}
).always(
function() {
loader_sun.style.display = "none";
loader_amb.style.display = "none";
}
);
}
*/
let url = "https://astro.troja.mff.cuni.cz/projects/damit/asteroids/ephems/" + AST_ID + "/" + jd;
let new_ephems = '{"hel": {"x": 1, "y": 0, "z": 0 }, "geo": {"x": 0, "y": 1, "z": 0 }}';
updateSkyProj.cache.set(url, new_ephems);
handleEphemsResponse(new_ephems);
loader_sun.style.display = "none";
loader_amb.style.display = "none";
}
/* Handle the ajax response with ephemerides. */
// function handleEphemsResponse(new_ephems) {
function handleEphemsResponse(new_ephems) {
let canvas_sun = document.getElementById("canvas_sun");
let canvas_amb = document.getElementById("canvas_amb");
let ambient = Number(document.getElementById("ambient").value);
let shading;
if (document.getElementById("shading-gouraud").checked) {
shading = "gouraud";
} else if (document.getElementById("shading-flat").checked) {
shading = "flat";
}
// Save the ephemerides.
//ephems = JSON.parse(new_ephems);
ephems = JSON.parse(new_ephems);
// Get Sun and Earth location.
let sun_location = getSunLocation();
let earth_location = getEarthLocation();
// Draw on the canvases.
draw_model(canvas_sun, earth_location, sun_location, 0, shading);
draw_model(canvas_amb, earth_location, earth_location, ambient, shading);
drawLightCurve(100, sun_location, earth_location);
updateSkyProjDetails();
}
/** Convert Date to Julian date (i.e. Julian day plus the fractional part).
*
* Based on: http://stackoverflow.com/a/11760079
*/
Date.prototype.toJD = function() {
return this.getTime() / 86400000 + 2440587.5;
}
/** Return UTC noon. */
Date.prototype.UTCNoon = function() {
return new Date(Date.UTC(
this.getUTCFullYear(),
this.getUTCMonth(),
this.getUTCDate(),
12
));
}
/** Convert JD to Date. */
function JDtoDate(jd) {
var timestamp = (jd - 2440587.5) * 86400000;
return new Date(timestamp);
}
/** Initialise form fields. */
function initFields() {
const urlParams = new URLSearchParams(window.location.search);
const jdParam = Number(urlParams.get("jd"));
const imgSizeParam = Number(urlParams.get("imgSize"));
const jdElement = document.getElementById("jd");
const imgSizeInput = document.getElementById("image_size_px_input");
// Set JD.
const now = new Date();
const todayUTCNoon = now.UTCNoon();
jdElement.value = jdParam || todayUTCNoon.toJD();
// Set image size.
imgSizeInput.value = imgSizeParam || DEFAULT_CANVAS_SIZE_PX;
// Check Gouraud shading button.
document.getElementById("shading-gouraud").checked = true;
document.getElementById("shading-gouraud-button").classList.add('active');
document.getElementById("shading-flat").checked = false;
document.getElementById("shading-flat-button").classList.remove('active');
}
/** Show the model at a given epoch.
*
* @param String epoch The name of the epoch (time) for which the projection
* should be made.
* @return void
*/
function projForEpoch(epoch) {
var now = new Date();
var epochDate;
switch (epoch) {
case "todayUTCNoon":
//jd = Math.round(now.toJD());
epochDate = now.UTCNoon();
document.getElementById("todayUTCNoonButton").classList.add("active");
document.getElementById("nowButton").classList.remove("active");
break;
case "now":
epochDate = now;
document.getElementById("todayUTCNoonButton").classList.remove("active");
document.getElementById("nowButton").classList.add("active");
break;
default:
alert("Unknown epoch name.");
}
if (typeof epochDate != "undefined") {
document.getElementById("jd").value = epochDate.toJD();
updateSkyProj();
}
}
function saveLightCurveAsTxt() {
// 1) pull out your data
const n = 100;
const s = getSunLocation();
const o = getEarthLocation();
const curveData = getLightCurve(n, s, o);
const gammas = curveData[0];
const fluxes = curveData[1];
const pairs = gammas.map((g,i) => [g, fluxes[i]]);
const text = pairs
.map(([g, f]) => `${g} ${f}`)
.join('\n');
// 2) turn it into a Blob
const blob = new Blob([text], { type: 'text/plain' });
// 3) create an object URL, and a temporary <a> to “click”
const url = URL.createObjectURL(blob);
const a = document.createElement('a');
a.href = url;
a.download = 'light_curve.txt'; // the suggested filename
document.body.appendChild(a);
a.click();
// 4) clean up
document.body.removeChild(a);
URL.revokeObjectURL(url);
}
</script>
<div class="card my-3 border-0">
<h5 class="card-title border-bottom">Sky projection</h5>
<div class="card-body py-2">
<div id="alert-ajax-failed" class="alert alert-danger alert-dismissible" role="alert" style="display: none">
<button type="button" class="close" onclick="$('#alert-ajax-failed').hide(400)" aria-label="Close"><span aria-hidden="true">×</span></button>
<strong>Error: </strong>
Retrieving ephemerides from
<a href="http://vo.imcce.fr/webservices/miriade/">The Virtual Observatory Solar System Object Ephemeris Generator</a> failed.
Try it later, please.
</div>
<div id="alert-ajax-too-close-to-pole" class="alert alert-danger alert-dismissible" role="alert" style="display: none">
<button type="button" class="close" onclick="$('#alert-ajax-too-close-to-pole').hide(400)" aria-label="Close"><span aria-hidden="true">×</span></button>
<strong>Error: </strong>
Cannot draw the model. It is too close to the ecliptic axis when viewed from Earth for the given Julian date.
</div>
<form class="form-inline">
<div class="form-group mb-3 mr-2">
<div class="input-group">
<div class="input-group-prepend">
<span class="input-group-text" title="Julian date">JD</span>
</div>
<input type="text" id="jd" class="form-control" title="Julian date (allowed range is from 2086308.0 to 2816788.0)" onchange="updateUtcField();">
<div class="input-group-append">
<span class="input-group-text" id="utc"></span>
</div>
</div>
</div>