turnAngleGc: Calculates turning angles on great circle tracks
In move: Visualizing and Analyzing Animal Track Data
Description
Usage
Arguments
Details
Value
Author(s)
Examples
Description
This function returns the turn angels of a great circle track.
Usage
1
2
## S4 method for signature '.MoveTrackSingle'
turnAngleGc(x)
Arguments
x
Move object, in long lat projection
Details
On great circle tracks the bearing of arrival on a point is not the same as witch the previous point was left. This function returns the difference between these bearings between -180 and 180. The bearings are calculated using the functions bearing and finalBearing of the geosphere package.
Value
The function returns the turning angles in degrees.
Author(s)
Bart Kranstauber
Examples
1
2
Example output
Loading required package: geosphere
Loading required package: sp
Loading required package: raster
Loading required package: rgdal
rgdal: version: 1.2-10, (SVN revision 673)
Geospatial Data Abstraction Library extensions to R successfully loaded
Loaded GDAL runtime: GDAL 1.10.1, released 2013/08/26
Path to GDAL shared files: /usr/share/gdal/1.10
Loaded PROJ.4 runtime: Rel. 4.8.0, 6 March 2012, [PJ_VERSION: 480]
Path to PROJ.4 shared files: (autodetected)
WARNING: no proj_defs.dat in PROJ.4 shared files
Linking to sp version: 1.2-3
[1] 55.9689186 -130.9348850 -159.6998484 24.8448813 -179.1694693
[6] 108.6599034 166.6312357 -21.7280062 77.7865332 -58.7761457
[11] -154.4085105 174.2152178 -42.1885072 85.8671274 147.2112617
[16] 42.8863465 154.4759550 -170.9687164 -69.6594748 -165.6687942
[21] 104.7342382 -170.0763884 -117.9785756 117.0190008 158.0647737
[26] -82.3092836 -175.6557591 -17.0145075 -170.5425193 113.7665036
[31] 106.5226705 158.3405378 176.1736867 158.8376503 129.5508785
[36] 91.6924585 108.9309181 156.8375789 91.6284484 119.9629817
[41] 61.1246071 177.4951301 -159.7510633 63.0789193 -106.7128847
[46] 81.5597610 164.8871635 -147.1206107 101.0679156 155.0783924
[51] 95.6323922 -155.8101263 45.1814706 -68.4200002 149.8504377
[56] 31.0779615 1.7780326 -24.7317682 -0.4743547 -47.1206033
[61] 177.0506980 161.6061420 45.9613514 -173.1065471 5.2394545
[66] -82.9170098 12.4352551 11.8624553 -96.7901271 97.7948736
[71] 6.3434938 -51.7797436 32.7390790 -2.1605855 -28.5962493
[76] 17.1480729 -66.2391000 13.2223377 -146.5040985 -34.9471637
[81] -89.1568012 175.3635419 -73.2626520 137.5607965 -177.1849234
[86] -107.1874252 -48.1297667 39.3209615 -93.3935943 -5.1339855
[91] -69.3172972 3.3266983 -19.7351142 -171.3049354 -144.6192233
[96] 104.5094027 -151.0229088 -127.4994049 176.7040058 -179.3618628
[101] -43.4740395 -129.4377421 -168.4590575 -2.1933356 10.3053269
[106] -89.1081844 -61.6242578 -11.3183184 167.7442334 110.0509193
[111] 1.5469423 -178.1213356 -177.1562421 157.0780909 -152.8459967
[116] 160.8424690 37.2686702 36.3307132 19.7508764 -14.9237482
[121] 42.2286021 113.6985221 -74.7897795 37.2808596 6.9215679
[126] -42.4977047 -0.1222327 36.1047609 83.0875074 -58.7135079
[131] 20.4645899 136.8694145 9.8011438 -111.9287257 -175.7435317
[136] -179.8346378 168.2249535 9.6128765 170.1342115 144.7571859
[141] 126.7961286 -9.1703214 28.3403707 -119.2313308 -48.2477215
[146] 131.3456183 7.7354920 -86.3239775 99.2766614 -19.1166504
[151] -74.7171916 84.0933788 -3.4602603 -11.8141737 -167.7318899
[156] 80.7894370 -18.2475313 -164.0557484 -179.7403255 151.2944487
[161] 157.9106791 60.3420575 40.5100771 124.2058439 25.9278397
[166] -131.5632138 84.6246064 -8.0489761 172.7698142 -47.2769075
[171] 135.3116652 14.8989430 -178.5023618 7.4834284 -11.7480370
[176] -176.1949836 -27.2619268 -139.0733808 -109.9077962 -89.6090768
[181] -157.7087538 169.8055818 98.1233554 3.0371446 -159.1055042
[186] 10.1740534 -177.6243325 151.5533074 143.6326186 140.6310538
[191] 46.1531214 130.4570563 167.1001923 105.4998161 146.1197188
[196] 88.8213810 78.4869173 -163.7565415 -104.9761914 -124.6013822
[201] -29.0819149 -107.7429988 -54.7542659 -154.8065756 150.5371913
[206] 174.5891704 -78.4339445 -14.8738872 43.0750076 -38.2745039
[211] 3.8171132 162.8430746 -164.2157677 -138.6428137 -50.0818852
[216] -157.3727298 -155.2032142 58.1898087 -145.5801443 -108.7114279
[221] -75.8624445 -171.1801658 -33.5738826 -64.8257212 169.7307545
[226] 74.3340593 41.1072309 -100.5046575 -3.8480832 92.9000466
[231] 25.9592174 99.2481512 -123.5075648 -34.4250029 -55.2451551
[236] 11.4160956 92.3533882 166.0134821 -142.8773230 -120.1889362
[241] 147.7653472 -2.3039041 122.5208810 20.1786570 -64.7193755
[246] 45.4422666 -21.1029026 11.1352582 89.0765587 -80.9948169
[251] 171.5076560 -177.1722042 -170.7040557 -16.4175059 -3.7248344
[256] 178.6933549 85.4665463 77.1023489 156.9535212 166.5951568
[261] -79.1898918 -172.3451017 140.0505755 157.3309938 -128.1344511
[266] 163.9012983 -175.5303569 151.6024029 123.3818704 57.3680429
[271] -119.3974409 -168.6265078 159.4827098 167.3662657 -169.2666763
[276] -177.2862909 -116.5621077 -32.9584344 -147.5233612 -148.5956771
[281] -144.8522982 -46.7442188 83.8901065 142.0314592 -107.4553091
[286] 173.1040667 129.3132907 -148.5824506 13.2377386 -167.0132389
[291] -73.1802849 43.5400014 135.5605338 -33.3934152 51.2875830
[296] -37.5678028 56.2774562 28.6902867 53.0659133 54.4609140
[301] -152.3424039 -80.8758819 -6.4764346 -178.2604994 177.5712364
[306] -128.1559689 -83.0550028 -16.6513563 93.6915481 -114.4860989
[311] 125.7618423 113.9943558 26.3586353 76.5716861 -33.5747777
[316] -3.9346873 -58.7502071 -146.0670441 90.1895530 -91.0055751
[321] 161.8371886 -24.4743771 -33.3177085 46.6034351 43.4574829
[326] -123.6938687 2.7500675 123.8179165 5.1194578 -166.7066402
[331] -116.8101890 58.9746540 -121.2609984 30.5366340 -71.6429776
[336] 124.1313150 -91.3826302 1.0720363 -36.7930708 -32.5889078
[341] -151.8067926 53.4980349 -95.5108131 -48.0663493 55.2153651
[346] 39.2201965 45.9375086 46.0724219 175.4242373 172.6473510
[351] 148.3413882 -36.4049290 67.1420040 155.4363712 34.8445366
[356] 3.2246558 1.7688990 -88.2472717 74.4531120 -61.0948240
[361] -149.4247440 -116.1352882 -34.9445321 -98.2896658 -77.9101133
[366] -94.0923940 46.0056669 -18.9336357 17.4095808 102.0779356
[371] -12.5528768 79.3046525 -1.7461948 15.1846226 77.0732339
[376] -153.3860271 -10.4314672 8.4277320 -137.4105966 -175.6604453
[381] -69.1449511 86.6594540 -163.2830629 79.7860052 -3.8205259
[386] -90.9834614 173.3741787 81.9670794 162.8190313 4.2175405
[391] -163.3115248 35.8947032 -47.6502118 27.4817665 42.1203379
[396] 56.3200770 6.7592998 -23.0973964 22.7464780 -39.3082639
[401] -41.0109117 90.5521709 0.2721963 -44.4826005 -8.8064665
[406] -40.9926753 75.6994500 14.9308864 42.1910276 -179.4961669
[411] -35.6764990 -11.6378572 -134.5200099 -21.8285797 -0.1836180
[416] 129.9602262 17.1476488 -15.8960357 35.6656069 -10.1952735
[421] -33.6039993 26.4824835 11.7676042 -79.1734552 177.5126855
[426] 151.7874933 160.5735412 159.6512732 77.9761054 1.1730850
[431] 42.3498423 6.6135480 2.6124062 -70.1551664 46.8206038
[436] 47.7385390 -58.8464607 102.0004492 146.2860018 -0.6765350
[441] -120.7670840 157.6072089 64.6865693 -155.1308949 13.2477216
[446] -10.1198894 -40.6718921 109.9482985 -93.3246009 102.2705067
[451] -102.5631972 159.7221176 -44.0969830 -48.8324672 -51.1366398
[456] 29.7753295 -111.7779903 157.2023234 -110.9278735 6.7116489
[461] 177.0427709 -177.0155098 94.9076317 -46.7812433 127.9381544
[466] -91.2608757 -49.3089497 -0.4112727 157.8723870 139.6063132
[471] 138.9119243 138.7128875 155.0208786 -137.4894338 -28.0589398
[476] 88.3700094 169.0511462 153.8384811 136.2813409 12.6989459
[481] -114.7854946 -152.8640772 163.9509429 98.7759831 17.6530591
[486] 169.0200902 64.4927224 156.5894397 15.6018928 26.1778933
[491] 15.1439902 125.7344818 -77.7627907 16.7751889 21.2339578
[496] -5.3032123 -33.5386898 14.6113360 25.3331017 -4.2658875
[501] 17.3730784 -36.5066352 -36.3840915 -24.1475856 13.7418945
[506] -120.7491395 -59.6076508 -47.3762570 178.2974017 -175.4407463
[511] -74.4000610 168.0238403 125.9297340 -160.6628328 36.6007768
[516] 177.6748396 122.2008287 158.8423857 164.7973342 -173.0405016
[521] 153.7074178 -51.2175385 -77.3061525 -79.5970016 166.4758299
[526] -172.9819798 -112.8363482 125.1128592 160.0590301 159.9573190
[531] 175.5750948 34.3626394 -159.7523324 -170.5435042 135.6771215
[536] 176.2840612 127.6249196 -158.4070399 -10.4722194 115.9211368
[541] -68.2032157 44.5063076 154.1759724 -28.0581194 -165.4401895
[546] -3.7799369 -31.2564124 -168.8094594 -6.1916344 -99.9328472
[551] -174.0642420 -2.3501841 -49.1922857 -142.3136850 174.4204665
[556] -151.1107652 34.5101430 163.6962166 -10.8132939 -28.8185486
[561] -1.6018557 51.0277385 77.2017744 -168.2159540 -173.6400598
[566] -163.7764636 -17.0847220 -18.8364650 -112.7104235 -16.2265329
[571] -126.8944007 -150.8835374 88.7697654 168.5479224 176.7639732
[576] -150.6852713 -29.0498157 -157.9288970 148.0639191 152.3151301
[581] 110.1829881 128.3688562 -146.9696669 129.6249818 68.5360810
[586] 154.3270268 31.0971600 146.6330618 37.0308978 90.9552793
[591] 98.4728803 160.3754731 -142.3728717 29.5785671 -20.7238661
[596] 21.0045564 -84.0469240 -36.9165328 160.0687817 91.0819990
[601] 118.1284614 157.5440239 99.4747835 28.6065500 -24.6391557
[606] 60.6860267 -123.6825619 63.5585913 -22.9538682 28.8502111
[611] 113.0199558 -18.5111095 173.6155101 -24.1054828 55.5783990
[616] 144.7119564 164.6608084 178.8422079 160.8668376 53.7532689
[621] 123.4606836 4.6193651 -66.3579876 52.2316552 -147.9906989
[626] -67.5822759 156.0070160 -173.5039134 98.1751608 -98.4400221
[631] 49.9787982 -173.3166105 -26.8533694 -155.7685504 -89.4722432
[636] -144.3596988 130.7068062 -31.5751369 96.1238257 8.6548357
[641] -25.0747772 45.6533223 -122.8267921 171.9997037 -16.8210241
[646] 165.1322799 114.8011951 63.7545547 115.3022349 -159.0070780
[651] 147.6557644 38.7595401 -168.8730983 -95.4786625 37.6145890
[656] 117.9182125 134.7221649 7.7160567 -5.7544600 162.3703816
[661] -63.8753776 -133.0691237 142.4073591 159.8669940 -171.6805109
[666] -87.5709033 -165.5099781 171.4014756 -170.0833431 -93.5431257
[671] -165.6708340 81.5447439 126.8274983 137.5112178 -81.6010566
[676] -159.7921853 -27.3014769 -175.2208892 7.7380966 -32.4506723
[681] -106.9488428 33.5397160 -20.6884532 175.3021063 -0.5982716
[686] -126.2798436 163.6434651 -28.1864252 -23.1392680 28.4787791
[691] -64.5433313 -167.6157341 -167.2796250 -176.3836758 -9.3216269
[696] -177.0653775 -170.0742614 -161.0513241 -4.0181735 174.8256979
[701] -117.3918320 -8.1975702 126.6030350 137.2157872 59.0399158
[706] 132.5997780 -33.1055050 -22.5465140 13.3535870 20.3142959
[711] -31.8211987 -8.0496490 -58.5011044 -99.1008535 32.3700708
[716] 11.7657779 102.4161132 -122.9489687 11.2162152 -177.1587229
[721] -0.8531969 -102.2162612 177.5852465 -131.1553888 -53.8447929
[726] -113.1037013 2.5004850 173.3532768 162.1338494 69.7973907
[731] -63.7281763 -132.9548419 22.3321545 -10.0414652 -0.9518709
[736] -58.7516070 -133.4846111 170.2082685 163.8262855 -176.7007944
[741] 47.8295752 141.2112878 172.7368111 136.9596804 175.4538468
[746] 65.9648363 71.5253324 -15.9220414 49.8657327 -2.0175844
[751] 43.3293446 142.7313426 144.5642441 57.6657856 -55.0824307
[756] 109.4194071 -15.1503237 -24.4430963 96.1838868 9.9712672
[761] -103.3689854 -27.0283917 179.0354544 176.6206395 64.8555170
[766] 162.1290721 141.2696502 -160.9944914 89.1416770 -176.0386341
[771] -135.6773894 88.0966892 44.6891122 -75.7474515 -31.3528581
[776] 38.0789046 44.7532791 -60.9863039 179.5906462 93.1813958
[781] 1.3899006 22.9801357 45.8072539 173.3188271 140.0033847
[786] 3.5776817 -179.8274848 -32.3791153 156.1240411 -34.1369105
[791] 151.1441763 45.5295815 -75.0963566 -177.0562186 97.4322619
[796] -157.3749632 -117.7097950 174.1210431 99.1843982 146.0511653
[801] 178.4306679 136.2439448 -171.4439762 -10.0839246 162.6503091
[806] -0.1237842 -98.6406524 -156.6123382 -141.3779035 -51.7736824
[811] 172.0797947 -160.1227510 153.4144898 171.3421070 76.9985157
[816] 16.9638884 -153.8836470 39.5791528 -32.7879275 -164.0101710
[821] -61.6767446 135.1669957 -88.5229987 -31.8925821 -132.8711787
[826] -149.5364520 154.3288401 20.7116225 112.3285299 119.9889973
[831] 122.5691273 -61.3509482 7.5390824 -32.1082457 6.5463291
[836] -19.5641105 32.2861282 49.3999707 3.5370330 55.1717461
[841] -149.8428669 -116.0753565 -165.2506560 -64.9814135 -52.4079293
[846] 161.7586666 38.1883308 -53.1991780 -159.7352421 44.2254776
[851] 97.0651707 -173.7078680 -177.7530850 -13.1954699 -10.9735296
[856] 5.5576076 49.1678665 176.6771055 160.3708868 75.8004334
[861] 136.3245608 -102.1462423 166.1554687 47.4539749 23.4169206
[866] 127.1131018 -12.7747704 -150.5799047 -146.2169924 178.9466559
[871] -121.7304750 -118.1811447 -83.4343806 80.7645890 78.1771613
[876] 124.7364264 61.5939792 172.3778974 81.4865017 164.3327595
[881] 92.2559890 166.4826525 -152.5889892 -65.8494283 47.8018022
[886] 170.5159356 179.2927728 121.6036326 116.2707921 -51.4691261
[891] -113.9656271 -96.7648231 -111.8481686 -157.8087881 -151.4039493
[896] 175.5986946 -143.1436685 177.8988952 43.3119684 162.1489230
[901] 110.1729028 153.7095108 93.6854484 153.2043439 59.3047958
[906] 151.8926881 171.9825473 95.3216727 122.7086911 53.0277884
[911] 93.5465424 144.2417433 -46.3948739 -70.8025485 -104.3552305
[916] 79.0686260 160.3808968
move documentation built on Jan. 16, 2017, 2:22 a.m.
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Description Usage Arguments Details Value Author(s) Examples
Description
This function returns the turn angels of a great circle track.
Usage
1 2 | ## S4 method for signature '.MoveTrackSingle'
turnAngleGc(x)
|
Arguments
x |
Move object, in long lat projection |
Details
On great circle tracks the bearing of arrival on a point is not the same as witch the previous point was left. This function returns the difference between these bearings between -180 and 180. The bearings are calculated using the functions bearing and finalBearing of the geosphere package.
Value
The function returns the turning angles in degrees.
Author(s)
Bart Kranstauber
Examples
1 2 |
Example output
Loading required package: geosphere
Loading required package: sp
Loading required package: raster
Loading required package: rgdal
rgdal: version: 1.2-10, (SVN revision 673)
Geospatial Data Abstraction Library extensions to R successfully loaded
Loaded GDAL runtime: GDAL 1.10.1, released 2013/08/26
Path to GDAL shared files: /usr/share/gdal/1.10
Loaded PROJ.4 runtime: Rel. 4.8.0, 6 March 2012, [PJ_VERSION: 480]
Path to PROJ.4 shared files: (autodetected)
WARNING: no proj_defs.dat in PROJ.4 shared files
Linking to sp version: 1.2-3
[1] 55.9689186 -130.9348850 -159.6998484 24.8448813 -179.1694693
[6] 108.6599034 166.6312357 -21.7280062 77.7865332 -58.7761457
[11] -154.4085105 174.2152178 -42.1885072 85.8671274 147.2112617
[16] 42.8863465 154.4759550 -170.9687164 -69.6594748 -165.6687942
[21] 104.7342382 -170.0763884 -117.9785756 117.0190008 158.0647737
[26] -82.3092836 -175.6557591 -17.0145075 -170.5425193 113.7665036
[31] 106.5226705 158.3405378 176.1736867 158.8376503 129.5508785
[36] 91.6924585 108.9309181 156.8375789 91.6284484 119.9629817
[41] 61.1246071 177.4951301 -159.7510633 63.0789193 -106.7128847
[46] 81.5597610 164.8871635 -147.1206107 101.0679156 155.0783924
[51] 95.6323922 -155.8101263 45.1814706 -68.4200002 149.8504377
[56] 31.0779615 1.7780326 -24.7317682 -0.4743547 -47.1206033
[61] 177.0506980 161.6061420 45.9613514 -173.1065471 5.2394545
[66] -82.9170098 12.4352551 11.8624553 -96.7901271 97.7948736
[71] 6.3434938 -51.7797436 32.7390790 -2.1605855 -28.5962493
[76] 17.1480729 -66.2391000 13.2223377 -146.5040985 -34.9471637
[81] -89.1568012 175.3635419 -73.2626520 137.5607965 -177.1849234
[86] -107.1874252 -48.1297667 39.3209615 -93.3935943 -5.1339855
[91] -69.3172972 3.3266983 -19.7351142 -171.3049354 -144.6192233
[96] 104.5094027 -151.0229088 -127.4994049 176.7040058 -179.3618628
[101] -43.4740395 -129.4377421 -168.4590575 -2.1933356 10.3053269
[106] -89.1081844 -61.6242578 -11.3183184 167.7442334 110.0509193
[111] 1.5469423 -178.1213356 -177.1562421 157.0780909 -152.8459967
[116] 160.8424690 37.2686702 36.3307132 19.7508764 -14.9237482
[121] 42.2286021 113.6985221 -74.7897795 37.2808596 6.9215679
[126] -42.4977047 -0.1222327 36.1047609 83.0875074 -58.7135079
[131] 20.4645899 136.8694145 9.8011438 -111.9287257 -175.7435317
[136] -179.8346378 168.2249535 9.6128765 170.1342115 144.7571859
[141] 126.7961286 -9.1703214 28.3403707 -119.2313308 -48.2477215
[146] 131.3456183 7.7354920 -86.3239775 99.2766614 -19.1166504
[151] -74.7171916 84.0933788 -3.4602603 -11.8141737 -167.7318899
[156] 80.7894370 -18.2475313 -164.0557484 -179.7403255 151.2944487
[161] 157.9106791 60.3420575 40.5100771 124.2058439 25.9278397
[166] -131.5632138 84.6246064 -8.0489761 172.7698142 -47.2769075
[171] 135.3116652 14.8989430 -178.5023618 7.4834284 -11.7480370
[176] -176.1949836 -27.2619268 -139.0733808 -109.9077962 -89.6090768
[181] -157.7087538 169.8055818 98.1233554 3.0371446 -159.1055042
[186] 10.1740534 -177.6243325 151.5533074 143.6326186 140.6310538
[191] 46.1531214 130.4570563 167.1001923 105.4998161 146.1197188
[196] 88.8213810 78.4869173 -163.7565415 -104.9761914 -124.6013822
[201] -29.0819149 -107.7429988 -54.7542659 -154.8065756 150.5371913
[206] 174.5891704 -78.4339445 -14.8738872 43.0750076 -38.2745039
[211] 3.8171132 162.8430746 -164.2157677 -138.6428137 -50.0818852
[216] -157.3727298 -155.2032142 58.1898087 -145.5801443 -108.7114279
[221] -75.8624445 -171.1801658 -33.5738826 -64.8257212 169.7307545
[226] 74.3340593 41.1072309 -100.5046575 -3.8480832 92.9000466
[231] 25.9592174 99.2481512 -123.5075648 -34.4250029 -55.2451551
[236] 11.4160956 92.3533882 166.0134821 -142.8773230 -120.1889362
[241] 147.7653472 -2.3039041 122.5208810 20.1786570 -64.7193755
[246] 45.4422666 -21.1029026 11.1352582 89.0765587 -80.9948169
[251] 171.5076560 -177.1722042 -170.7040557 -16.4175059 -3.7248344
[256] 178.6933549 85.4665463 77.1023489 156.9535212 166.5951568
[261] -79.1898918 -172.3451017 140.0505755 157.3309938 -128.1344511
[266] 163.9012983 -175.5303569 151.6024029 123.3818704 57.3680429
[271] -119.3974409 -168.6265078 159.4827098 167.3662657 -169.2666763
[276] -177.2862909 -116.5621077 -32.9584344 -147.5233612 -148.5956771
[281] -144.8522982 -46.7442188 83.8901065 142.0314592 -107.4553091
[286] 173.1040667 129.3132907 -148.5824506 13.2377386 -167.0132389
[291] -73.1802849 43.5400014 135.5605338 -33.3934152 51.2875830
[296] -37.5678028 56.2774562 28.6902867 53.0659133 54.4609140
[301] -152.3424039 -80.8758819 -6.4764346 -178.2604994 177.5712364
[306] -128.1559689 -83.0550028 -16.6513563 93.6915481 -114.4860989
[311] 125.7618423 113.9943558 26.3586353 76.5716861 -33.5747777
[316] -3.9346873 -58.7502071 -146.0670441 90.1895530 -91.0055751
[321] 161.8371886 -24.4743771 -33.3177085 46.6034351 43.4574829
[326] -123.6938687 2.7500675 123.8179165 5.1194578 -166.7066402
[331] -116.8101890 58.9746540 -121.2609984 30.5366340 -71.6429776
[336] 124.1313150 -91.3826302 1.0720363 -36.7930708 -32.5889078
[341] -151.8067926 53.4980349 -95.5108131 -48.0663493 55.2153651
[346] 39.2201965 45.9375086 46.0724219 175.4242373 172.6473510
[351] 148.3413882 -36.4049290 67.1420040 155.4363712 34.8445366
[356] 3.2246558 1.7688990 -88.2472717 74.4531120 -61.0948240
[361] -149.4247440 -116.1352882 -34.9445321 -98.2896658 -77.9101133
[366] -94.0923940 46.0056669 -18.9336357 17.4095808 102.0779356
[371] -12.5528768 79.3046525 -1.7461948 15.1846226 77.0732339
[376] -153.3860271 -10.4314672 8.4277320 -137.4105966 -175.6604453
[381] -69.1449511 86.6594540 -163.2830629 79.7860052 -3.8205259
[386] -90.9834614 173.3741787 81.9670794 162.8190313 4.2175405
[391] -163.3115248 35.8947032 -47.6502118 27.4817665 42.1203379
[396] 56.3200770 6.7592998 -23.0973964 22.7464780 -39.3082639
[401] -41.0109117 90.5521709 0.2721963 -44.4826005 -8.8064665
[406] -40.9926753 75.6994500 14.9308864 42.1910276 -179.4961669
[411] -35.6764990 -11.6378572 -134.5200099 -21.8285797 -0.1836180
[416] 129.9602262 17.1476488 -15.8960357 35.6656069 -10.1952735
[421] -33.6039993 26.4824835 11.7676042 -79.1734552 177.5126855
[426] 151.7874933 160.5735412 159.6512732 77.9761054 1.1730850
[431] 42.3498423 6.6135480 2.6124062 -70.1551664 46.8206038
[436] 47.7385390 -58.8464607 102.0004492 146.2860018 -0.6765350
[441] -120.7670840 157.6072089 64.6865693 -155.1308949 13.2477216
[446] -10.1198894 -40.6718921 109.9482985 -93.3246009 102.2705067
[451] -102.5631972 159.7221176 -44.0969830 -48.8324672 -51.1366398
[456] 29.7753295 -111.7779903 157.2023234 -110.9278735 6.7116489
[461] 177.0427709 -177.0155098 94.9076317 -46.7812433 127.9381544
[466] -91.2608757 -49.3089497 -0.4112727 157.8723870 139.6063132
[471] 138.9119243 138.7128875 155.0208786 -137.4894338 -28.0589398
[476] 88.3700094 169.0511462 153.8384811 136.2813409 12.6989459
[481] -114.7854946 -152.8640772 163.9509429 98.7759831 17.6530591
[486] 169.0200902 64.4927224 156.5894397 15.6018928 26.1778933
[491] 15.1439902 125.7344818 -77.7627907 16.7751889 21.2339578
[496] -5.3032123 -33.5386898 14.6113360 25.3331017 -4.2658875
[501] 17.3730784 -36.5066352 -36.3840915 -24.1475856 13.7418945
[506] -120.7491395 -59.6076508 -47.3762570 178.2974017 -175.4407463
[511] -74.4000610 168.0238403 125.9297340 -160.6628328 36.6007768
[516] 177.6748396 122.2008287 158.8423857 164.7973342 -173.0405016
[521] 153.7074178 -51.2175385 -77.3061525 -79.5970016 166.4758299
[526] -172.9819798 -112.8363482 125.1128592 160.0590301 159.9573190
[531] 175.5750948 34.3626394 -159.7523324 -170.5435042 135.6771215
[536] 176.2840612 127.6249196 -158.4070399 -10.4722194 115.9211368
[541] -68.2032157 44.5063076 154.1759724 -28.0581194 -165.4401895
[546] -3.7799369 -31.2564124 -168.8094594 -6.1916344 -99.9328472
[551] -174.0642420 -2.3501841 -49.1922857 -142.3136850 174.4204665
[556] -151.1107652 34.5101430 163.6962166 -10.8132939 -28.8185486
[561] -1.6018557 51.0277385 77.2017744 -168.2159540 -173.6400598
[566] -163.7764636 -17.0847220 -18.8364650 -112.7104235 -16.2265329
[571] -126.8944007 -150.8835374 88.7697654 168.5479224 176.7639732
[576] -150.6852713 -29.0498157 -157.9288970 148.0639191 152.3151301
[581] 110.1829881 128.3688562 -146.9696669 129.6249818 68.5360810
[586] 154.3270268 31.0971600 146.6330618 37.0308978 90.9552793
[591] 98.4728803 160.3754731 -142.3728717 29.5785671 -20.7238661
[596] 21.0045564 -84.0469240 -36.9165328 160.0687817 91.0819990
[601] 118.1284614 157.5440239 99.4747835 28.6065500 -24.6391557
[606] 60.6860267 -123.6825619 63.5585913 -22.9538682 28.8502111
[611] 113.0199558 -18.5111095 173.6155101 -24.1054828 55.5783990
[616] 144.7119564 164.6608084 178.8422079 160.8668376 53.7532689
[621] 123.4606836 4.6193651 -66.3579876 52.2316552 -147.9906989
[626] -67.5822759 156.0070160 -173.5039134 98.1751608 -98.4400221
[631] 49.9787982 -173.3166105 -26.8533694 -155.7685504 -89.4722432
[636] -144.3596988 130.7068062 -31.5751369 96.1238257 8.6548357
[641] -25.0747772 45.6533223 -122.8267921 171.9997037 -16.8210241
[646] 165.1322799 114.8011951 63.7545547 115.3022349 -159.0070780
[651] 147.6557644 38.7595401 -168.8730983 -95.4786625 37.6145890
[656] 117.9182125 134.7221649 7.7160567 -5.7544600 162.3703816
[661] -63.8753776 -133.0691237 142.4073591 159.8669940 -171.6805109
[666] -87.5709033 -165.5099781 171.4014756 -170.0833431 -93.5431257
[671] -165.6708340 81.5447439 126.8274983 137.5112178 -81.6010566
[676] -159.7921853 -27.3014769 -175.2208892 7.7380966 -32.4506723
[681] -106.9488428 33.5397160 -20.6884532 175.3021063 -0.5982716
[686] -126.2798436 163.6434651 -28.1864252 -23.1392680 28.4787791
[691] -64.5433313 -167.6157341 -167.2796250 -176.3836758 -9.3216269
[696] -177.0653775 -170.0742614 -161.0513241 -4.0181735 174.8256979
[701] -117.3918320 -8.1975702 126.6030350 137.2157872 59.0399158
[706] 132.5997780 -33.1055050 -22.5465140 13.3535870 20.3142959
[711] -31.8211987 -8.0496490 -58.5011044 -99.1008535 32.3700708
[716] 11.7657779 102.4161132 -122.9489687 11.2162152 -177.1587229
[721] -0.8531969 -102.2162612 177.5852465 -131.1553888 -53.8447929
[726] -113.1037013 2.5004850 173.3532768 162.1338494 69.7973907
[731] -63.7281763 -132.9548419 22.3321545 -10.0414652 -0.9518709
[736] -58.7516070 -133.4846111 170.2082685 163.8262855 -176.7007944
[741] 47.8295752 141.2112878 172.7368111 136.9596804 175.4538468
[746] 65.9648363 71.5253324 -15.9220414 49.8657327 -2.0175844
[751] 43.3293446 142.7313426 144.5642441 57.6657856 -55.0824307
[756] 109.4194071 -15.1503237 -24.4430963 96.1838868 9.9712672
[761] -103.3689854 -27.0283917 179.0354544 176.6206395 64.8555170
[766] 162.1290721 141.2696502 -160.9944914 89.1416770 -176.0386341
[771] -135.6773894 88.0966892 44.6891122 -75.7474515 -31.3528581
[776] 38.0789046 44.7532791 -60.9863039 179.5906462 93.1813958
[781] 1.3899006 22.9801357 45.8072539 173.3188271 140.0033847
[786] 3.5776817 -179.8274848 -32.3791153 156.1240411 -34.1369105
[791] 151.1441763 45.5295815 -75.0963566 -177.0562186 97.4322619
[796] -157.3749632 -117.7097950 174.1210431 99.1843982 146.0511653
[801] 178.4306679 136.2439448 -171.4439762 -10.0839246 162.6503091
[806] -0.1237842 -98.6406524 -156.6123382 -141.3779035 -51.7736824
[811] 172.0797947 -160.1227510 153.4144898 171.3421070 76.9985157
[816] 16.9638884 -153.8836470 39.5791528 -32.7879275 -164.0101710
[821] -61.6767446 135.1669957 -88.5229987 -31.8925821 -132.8711787
[826] -149.5364520 154.3288401 20.7116225 112.3285299 119.9889973
[831] 122.5691273 -61.3509482 7.5390824 -32.1082457 6.5463291
[836] -19.5641105 32.2861282 49.3999707 3.5370330 55.1717461
[841] -149.8428669 -116.0753565 -165.2506560 -64.9814135 -52.4079293
[846] 161.7586666 38.1883308 -53.1991780 -159.7352421 44.2254776
[851] 97.0651707 -173.7078680 -177.7530850 -13.1954699 -10.9735296
[856] 5.5576076 49.1678665 176.6771055 160.3708868 75.8004334
[861] 136.3245608 -102.1462423 166.1554687 47.4539749 23.4169206
[866] 127.1131018 -12.7747704 -150.5799047 -146.2169924 178.9466559
[871] -121.7304750 -118.1811447 -83.4343806 80.7645890 78.1771613
[876] 124.7364264 61.5939792 172.3778974 81.4865017 164.3327595
[881] 92.2559890 166.4826525 -152.5889892 -65.8494283 47.8018022
[886] 170.5159356 179.2927728 121.6036326 116.2707921 -51.4691261
[891] -113.9656271 -96.7648231 -111.8481686 -157.8087881 -151.4039493
[896] 175.5986946 -143.1436685 177.8988952 43.3119684 162.1489230
[901] 110.1729028 153.7095108 93.6854484 153.2043439 59.3047958
[906] 151.8926881 171.9825473 95.3216727 122.7086911 53.0277884
[911] 93.5465424 144.2417433 -46.3948739 -70.8025485 -104.3552305
[916] 79.0686260 160.3808968
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