Transforms priors information to actual distributions.
See also
unupdate() for directly sampling from the prior
distribution (useful for complex priors and designs).
Examples
# \donttest{
library(bayestestR)
if (require("rstanarm")) {
model <- suppressWarnings(
stan_glm(mpg ~ wt + am, data = mtcars, chains = 1, refresh = 0)
)
simulate_prior(model)
}
#> (Intercept) wt am
#> 1 -29.48895919 -50.67117077 -99.35969268
#> 2 -24.62538077 -45.70051165 -89.61286514
#> 3 -22.20399176 -43.22581126 -84.76029381
#> 4 -20.54372566 -41.52899133 -81.43304669
#> 5 -19.26616155 -40.22329926 -78.87275136
#> 6 -18.22115924 -39.15528929 -76.77852025
#> 7 -17.33324626 -38.24782726 -74.99910312
#> 8 -16.55893057 -37.45646357 -73.44734004
#> 9 -15.87078383 -36.75316600 -72.06826334
#> 10 -15.25035829 -36.11908064 -70.82490296
#> 11 -14.68463134 -35.54089816 -69.69116098
#> 12 -14.16405635 -35.00886175 -68.64790554
#> 13 -13.68141951 -34.51559876 -67.68067983
#> 14 -13.23113238 -34.05539773 -66.77828439
#> 15 -12.80877469 -33.62374105 -65.93186079
#> 16 -12.41078784 -33.21699178 -65.13427743
#> 17 -12.03426309 -32.83217714 -64.37970508
#> 18 -11.67679137 -32.46683501 -63.66331584
#> 19 -11.33635417 -32.11890246 -62.98106456
#> 20 -11.01124290 -31.78663325 -62.32952709
#> 21 -10.69999799 -31.46853572 -61.70577846
#> 22 -10.40136247 -31.16332518 -61.10729958
#> 23 -10.11424576 -30.86988706 -60.53190492
#> 24 -9.83769537 -30.58724790 -59.97768563
#> 25 -9.57087431 -30.31455229 -59.44296437
#> 26 -9.31304305 -30.05104439 -58.92625904
#> 27 -9.06354475 -29.79605292 -58.42625335
#> 28 -8.82179333 -29.54897890 -57.94177276
#> 29 -8.58726358 -29.30928553 -57.47176469
#> 30 -8.35948289 -29.07648983 -57.01528205
#> 31 -8.13802443 -28.85015555 -56.57146946
#> 32 -7.92250139 -28.62988737 -56.13955169
#> 33 -7.71256203 -28.41532581 -55.71882387
#> 34 -7.50788557 -28.20614302 -55.30864314
#> 35 -7.30817862 -28.00203915 -54.90842153
#> 36 -7.11317211 -27.80273920 -54.51761980
#> 37 -6.92261864 -27.60799035 -54.13574218
#> 38 -6.73629024 -27.41755958 -53.76233176
#> 39 -6.55397631 -27.23123167 -53.39696653
#> 40 -6.37548191 -27.04880738 -53.03925581
#> 41 -6.20062624 -26.87010194 -52.68883727
#> 42 -6.02924127 -26.69494362 -52.34537417
#> 43 -5.86117058 -26.52317254 -52.00855303
#> 44 -5.69626827 -26.35463960 -51.67808147
#> 45 -5.53439806 -26.18920551 -51.35368636
#> 46 -5.37543243 -26.02673996 -51.03511216
#> 47 -5.21925189 -25.86712082 -50.72211942
#> 48 -5.06574433 -25.71023350 -50.41448343
#> 49 -4.91480437 -25.55597032 -50.11199304
#> 50 -4.76633288 -25.40422995 -49.81444956
#> 51 -4.62023645 -25.25491694 -49.52166582
#> 52 -4.47642699 -25.10794124 -49.23346526
#> 53 -4.33482129 -24.96321783 -48.94968113
#> 54 -4.19534069 -24.82066630 -48.67015580
#> 55 -4.05791074 -24.68021059 -48.39474008
#> 56 -3.92246092 -24.54177859 -48.12329261
#> 57 -3.78892433 -24.40530194 -47.85567935
#> 58 -3.65723748 -24.27071576 -47.59177303
#> 59 -3.52734003 -24.13795837 -47.33145276
#> 60 -3.39917460 -24.00697114 -47.07460353
#> 61 -3.27268657 -23.87769825 -46.82111591
#> 62 -3.14782393 -23.75008652 -46.57088562
#> 63 -3.02453707 -23.62408527 -46.32381326
#> 64 -2.90277865 -23.49964612 -46.07980397
#> 65 -2.78250349 -23.37672287 -45.83876719
#> 66 -2.66366839 -23.25527140 -45.60061638
#> 67 -2.54623207 -23.13524951 -45.36526877
#> 68 -2.43015501 -23.01661679 -45.13264517
#> 69 -2.31539937 -22.89933459 -44.90266975
#> 70 -2.20192888 -22.78336584 -44.67526985
#> 71 -2.08970880 -22.66867502 -44.45037581
#> 72 -1.97870577 -22.55522805 -44.22792080
#> 73 -1.86888777 -22.44299221 -44.00784065
#> 74 -1.76022407 -22.33193608 -43.79007376
#> 75 -1.65268511 -22.22202945 -43.57456090
#> 76 -1.54624248 -22.11324328 -43.36124513
#> 77 -1.44086885 -22.00554966 -43.15007168
#> 78 -1.33653790 -21.89892167 -42.94098782
#> 79 -1.23322430 -21.79333343 -42.73394277
#> 80 -1.13090363 -21.68875998 -42.52888760
#> 81 -1.02955236 -21.58517727 -42.32577514
#> 82 -0.92914779 -21.48256211 -42.12455992
#> 83 -0.82966803 -21.38089212 -41.92519805
#> 84 -0.73109193 -21.28014568 -41.72764716
#> 85 -0.63339908 -21.18030194 -41.53186634
#> 86 -0.53656976 -21.08134074 -41.33781607
#> 87 -0.44058490 -20.98324260 -41.14545815
#> 88 -0.34542608 -20.88598868 -40.95475563
#> 89 -0.25107546 -20.78956076 -40.76567280
#> 90 -0.15751581 -20.69394121 -40.57817509
#> 91 -0.06473041 -20.59911297 -40.39222901
#> 92 0.02729691 -20.50505950 -40.20780218
#> 93 0.11858180 -20.41176480 -40.02486319
#> 94 0.20913946 -20.31921335 -39.84338162
#> 95 0.29898459 -20.22739012 -39.66332799
#> 96 0.38813146 -20.13628051 -39.48467368
#> 97 0.47659393 -20.04587038 -39.30739097
#> 98 0.56438541 -19.95614600 -39.13145293
#> 99 0.65151895 -19.86709405 -38.95683343
#> 100 0.73800722 -19.77870159 -38.78350711
#> 101 0.82386249 -19.69095605 -38.61144932
#> 102 0.90909672 -19.60384523 -38.44063612
#> 103 0.99372152 -19.51735726 -38.27104425
#> 104 1.07774818 -19.43148060 -38.10265110
#> 105 1.16118766 -19.34620404 -37.93543467
#> 106 1.24405064 -19.26151668 -37.76937357
#> 107 1.32634750 -19.17740790 -37.60444700
#> 108 1.40808835 -19.09386737 -37.44063469
#> 109 1.48928303 -19.01088505 -37.27791695
#> 110 1.56994110 -18.92845114 -37.11627458
#> 111 1.65007191 -18.84655610 -36.95568888
#> 112 1.72968453 -18.76519066 -36.79614165
#> 113 1.80878781 -18.68434577 -36.63761514
#> 114 1.88739040 -18.60401260 -36.48009207
#> 115 1.96550069 -18.52418257 -36.32355557
#> 116 2.04312689 -18.44484728 -36.16798921
#> 117 2.12027700 -18.36599857 -36.01337696
#> 118 2.19695882 -18.28762846 -35.85970318
#> 119 2.27317996 -18.20972917 -35.70695262
#> 120 2.34894785 -18.13229310 -35.55511039
#> 121 2.42426975 -18.05531285 -35.40416195
#> 122 2.49915274 -17.97878118 -35.25409312
#> 123 2.57360372 -17.90269102 -35.10489004
#> 124 2.64762945 -17.82703547 -34.95653917
#> 125 2.72123654 -17.75180779 -34.80902730
#> 126 2.79443142 -17.67700139 -34.66234151
#> 127 2.86722039 -17.60260984 -34.51646917
#> 128 2.93960961 -17.52862683 -34.37139794
#> 129 3.01160511 -17.45504622 -34.22711577
#> 130 3.08321276 -17.38186199 -34.08361085
#> 131 3.15443832 -17.30906827 -33.94087165
#> 132 3.22528743 -17.23665928 -33.79888689
#> 133 3.29576559 -17.16462942 -33.65764552
#> 134 3.36587820 -17.09297315 -33.51713674
#> 135 3.43563052 -17.02168511 -33.37734998
#> 136 3.50502772 -16.95075999 -33.23827490
#> 137 3.57407486 -16.88019266 -33.09990136
#> 138 3.64277688 -16.80997803 -32.96221945
#> 139 3.71113864 -16.74011116 -32.82521945
#> 140 3.77916488 -16.67058720 -32.68889184
#> 141 3.84686025 -16.60140139 -32.55322731
#> 142 3.91422930 -16.53254908 -32.41821673
#> 143 3.98127651 -16.46402570 -32.28385114
#> 144 4.04800624 -16.39582679 -32.15012178
#> 145 4.11442279 -16.32794796 -32.01702006
#> 146 4.18053037 -16.26038490 -31.88453754
#> 147 4.24633308 -16.19313342 -31.75266597
#> 148 4.31183498 -16.12618937 -31.62139725
#> 149 4.37704004 -16.05954871 -31.49072342
#> 150 4.44195213 -15.99320746 -31.36063671
#> 151 4.50657507 -15.92716172 -31.23112945
#> 152 4.57091261 -15.86140767 -31.10219416
#> 153 4.63496842 -15.79594155 -30.97382346
#> 154 4.69874610 -15.73075968 -30.84601015
#> 155 4.76224920 -15.66585845 -30.71874712
#> 156 4.82548118 -15.60123430 -30.59202742
#> 157 4.88844545 -15.53688376 -30.46584422
#> 158 4.95114536 -15.47280339 -30.34019081
#> 159 5.01358420 -15.40898984 -30.21506060
#> 160 5.07576519 -15.34543982 -30.09044711
#> 161 5.13769152 -15.28215007 -29.96634400
#> 162 5.19936629 -15.21911742 -29.84274503
#> 163 5.26079256 -15.15633874 -29.71964405
#> 164 5.32197334 -15.09381095 -29.59703504
#> 165 5.38291158 -15.03153103 -29.47491209
#> 166 5.44361020 -14.96949602 -29.35326936
#> 167 5.50407204 -14.90770300 -29.23210114
#> 168 5.56429991 -14.84614910 -29.11140180
#> 169 5.62429657 -14.78483150 -28.99116583
#> 170 5.68406474 -14.72374743 -28.87138777
#> 171 5.74360707 -14.66289417 -28.75206229
#> 172 5.80292619 -14.60226902 -28.63318412
#> 173 5.86202469 -14.54186936 -28.51474811
#> 174 5.92090509 -14.48169260 -28.39674915
#> 175 5.97956990 -14.42173617 -28.27918226
#> 176 6.03802158 -14.36199757 -28.16204251
#> 177 6.09626253 -14.30247434 -28.04532505
#> 178 6.15429514 -14.24316404 -27.92902512
#> 179 6.21212174 -14.18406427 -27.81313804
#> 180 6.26974464 -14.12517269 -27.69765917
#> 181 6.32716611 -14.06648698 -27.58258399
#> 182 6.38438838 -14.00800486 -27.46790803
#> 183 6.44141364 -13.94972408 -27.35362686
#> 184 6.49824406 -13.89164244 -27.23973617
#> 185 6.55488177 -13.83375775 -27.12623169
#> 186 6.61132886 -13.77606787 -27.01310920
#> 187 6.66758741 -13.71857068 -26.90036458
#> 188 6.72365944 -13.66126413 -26.78799373
#> 189 6.77954695 -13.60414614 -26.67599266
#> 190 6.83525194 -13.54721471 -26.56435740
#> 191 6.89077633 -13.49046784 -26.45308404
#> 192 6.94612205 -13.43390359 -26.34216877
#> 193 7.00129098 -13.37752001 -26.23160778
#> 194 7.05628498 -13.32131521 -26.12139735
#> 195 7.11110589 -13.26528732 -26.01153380
#> 196 7.16575552 -13.20943448 -25.90201352
#> 197 7.22023564 -13.15375487 -25.79283292
#> 198 7.27454802 -13.09824671 -25.68398851
#> 199 7.32869438 -13.04290822 -25.57547679
#> 200 7.38267643 -12.98773765 -25.46729436
#> 201 7.43649585 -12.93273329 -25.35943784
#> 202 7.49015431 -12.87789344 -25.25190390
#> 203 7.54365344 -12.82321643 -25.14468927
#> 204 7.59699485 -12.76870061 -25.03779071
#> 205 7.65018014 -12.71434435 -24.93120503
#> 206 7.70321087 -12.66014605 -24.82492908
#> 207 7.75608859 -12.60610412 -24.71895976
#> 208 7.80881484 -12.55221701 -24.61329402
#> 209 7.86139112 -12.49848317 -24.50792882
#> 210 7.91381891 -12.44490108 -24.40286118
#> 211 7.96609969 -12.39146924 -24.29808818
#> 212 8.01823491 -12.33818617 -24.19360689
#> 213 8.07022598 -12.28505042 -24.08941447
#> 214 8.12207432 -12.23206054 -23.98550808
#> 215 8.17378133 -12.17921510 -23.88188493
#> 216 8.22534838 -12.12651271 -23.77854228
#> 217 8.27677682 -12.07395198 -23.67547739
#> 218 8.32806800 -12.02153153 -23.57268759
#> 219 8.37922323 -11.96925002 -23.47017023
#> 220 8.43024382 -11.91710612 -23.36792270
#> 221 8.48113106 -11.86509850 -23.26594240
#> 222 8.53188623 -11.81322587 -23.16422679
#> 223 8.58251057 -11.76148693 -23.06277335
#> 224 8.63300533 -11.70988043 -22.96157960
#> 225 8.68337174 -11.65840511 -22.86064307
#> 226 8.73361101 -11.60705973 -22.75996135
#> 227 8.78372433 -11.55584308 -22.65953202
#> 228 8.83371289 -11.50475393 -22.55935273
#> 229 8.88357785 -11.45379110 -22.45942114
#> 230 8.93332036 -11.40295342 -22.35973493
#> 231 8.98294156 -11.35223971 -22.26029182
#> 232 9.03244259 -11.30164882 -22.16108956
#> 233 9.08182455 -11.25117963 -22.06212592
#> 234 9.13108854 -11.20083100 -21.96339869
#> 235 9.18023565 -11.15060182 -21.86490569
#> 236 9.22926695 -11.10049101 -21.76664478
#> 237 9.27818351 -11.05049746 -21.66861383
#> 238 9.32698637 -11.00062012 -21.57081073
#> 239 9.37567657 -10.95085792 -21.47323341
#> 240 9.42425513 -10.90120981 -21.37587981
#> 241 9.47272307 -10.85167476 -21.27874790
#> 242 9.52108139 -10.80225174 -21.18183568
#> 243 9.56933108 -10.75293974 -21.08514115
#> 244 9.61747311 -10.70373777 -20.98866237
#> 245 9.66550847 -10.65464482 -20.89239737
#> 246 9.71343811 -10.60565993 -20.79634425
#> 247 9.76126296 -10.55678212 -20.70050111
#> 248 9.80898398 -10.50801043 -20.60486607
#> 249 9.85660209 -10.45934393 -20.50943726
#> 250 9.90411820 -10.41078166 -20.41421287
#> 251 9.95153321 -10.36232271 -20.31919106
#> 252 9.99884804 -10.31396617 -20.22437005
#> 253 10.04606356 -10.26571111 -20.12974805
#> 254 10.09318065 -10.21755665 -20.03532330
#> 255 10.14020018 -10.16950190 -19.94109407
#> 256 10.18712301 -10.12154597 -19.84705863
#> 257 10.23394999 -10.07368801 -19.75321528
#> 258 10.28068196 -10.02592715 -19.65956234
#> 259 10.32731975 -9.97826254 -19.56609813
#> 260 10.37386419 -9.93069334 -19.47282100
#> 261 10.42031609 -9.88321871 -19.37972932
#> 262 10.46667626 -9.83583784 -19.28682148
#> 263 10.51294550 -9.78854990 -19.19409587
#> 264 10.55912460 -9.74135408 -19.10155090
#> 265 10.60521433 -9.69424959 -19.00918501
#> 266 10.65121549 -9.64723563 -18.91699665
#> 267 10.69712883 -9.60031143 -18.82498428
#> 268 10.74295511 -9.55347620 -18.73314638
#> 269 10.78869508 -9.50672918 -18.64148144
#> 270 10.83434949 -9.46006960 -18.54998796
#> 271 10.87991908 -9.41349671 -18.45866448
#> 272 10.92540457 -9.36700977 -18.36750953
#> 273 10.97080670 -9.32060803 -18.27652165
#> 274 11.01612616 -9.27429077 -18.18569943
#> 275 11.06136368 -9.22805727 -18.09504142
#> 276 11.10651996 -9.18190679 -18.00454624
#> 277 11.15159568 -9.13583864 -17.91421248
#> 278 11.19659155 -9.08985211 -17.82403877
#> 279 11.24150823 -9.04394650 -17.73402373
#> 280 11.28634642 -8.99812112 -17.64416601
#> 281 11.33110677 -8.95237528 -17.55446427
#> 282 11.37578995 -8.90670832 -17.46491719
#> 283 11.42039663 -8.86111955 -17.37552343
#> 284 11.46492744 -8.81560831 -17.28628171
#> 285 11.50938303 -8.77017394 -17.19719072
#> 286 11.55376405 -8.72481579 -17.10824918
#> 287 11.59807112 -8.67953321 -17.01945583
#> 288 11.64230489 -8.63432557 -16.93080940
#> 289 11.68646595 -8.58919221 -16.84230866
#> 290 11.73055495 -8.54413251 -16.75395236
#> 291 11.77457247 -8.49914586 -16.66573927
#> 292 11.81851914 -8.45423162 -16.57766819
#> 293 11.86239555 -8.40938919 -16.48973791
#> 294 11.90620230 -8.36461796 -16.40194724
#> 295 11.94993998 -8.31991732 -16.31429500
#> 296 11.99360916 -8.27528667 -16.22678001
#> 297 12.03721044 -8.23072544 -16.13940111
#> 298 12.08074438 -8.18623301 -16.05215715
#> 299 12.12421156 -8.14180882 -15.96504699
#> 300 12.16761254 -8.09745229 -15.87806950
#> 301 12.21094788 -8.05316284 -15.79122354
#> 302 12.25421814 -8.00893991 -15.70450802
#> 303 12.29742386 -7.96478293 -15.61792182
#> 304 12.34056561 -7.92069134 -15.53146385
#> 305 12.38364390 -7.87666459 -15.44513303
#> 306 12.42665930 -7.83270214 -15.35892827
#> 307 12.46961232 -7.78880343 -15.27284851
#> 308 12.51250349 -7.74496792 -15.18689268
#> 309 12.55533334 -7.70119509 -15.10105975
#> 310 12.59810240 -7.65748440 -15.01534866
#> 311 12.64081117 -7.61383531 -14.92975839
#> 312 12.68346017 -7.57024732 -14.84428789
#> 313 12.72604990 -7.52671989 -14.75893617
#> 314 12.76858088 -7.48325252 -14.67370221
#> 315 12.81105359 -7.43984469 -14.58858500
#> 316 12.85346854 -7.39649589 -14.50358355
#> 317 12.89582622 -7.35320563 -14.41869688
#> 318 12.93812711 -7.30997341 -14.33392401
#> 319 12.98037170 -7.26679872 -14.24926396
#> 320 13.02256048 -7.22368108 -14.16471578
#> 321 13.06469391 -7.18062000 -14.08027851
#> 322 13.10677248 -7.13761500 -13.99595119
#> 323 13.14879665 -7.09466559 -13.91173289
#> 324 13.19076688 -7.05177130 -13.82762266
#> 325 13.23268365 -7.00893166 -13.74361960
#> 326 13.27454741 -6.96614619 -13.65972276
#> 327 13.31635862 -6.92341443 -13.57593124
#> 328 13.35811773 -6.88073592 -13.49224413
#> 329 13.39982519 -6.83811019 -13.40866052
#> 330 13.44148144 -6.79553680 -13.32517953
#> 331 13.48308694 -6.75301528 -13.24180027
#> 332 13.52464211 -6.71054519 -13.15852185
#> 333 13.56614741 -6.66812608 -13.07534340
#> 334 13.60760325 -6.62575751 -12.99226404
#> 335 13.64901007 -6.58343904 -12.90928293
#> 336 13.69036830 -6.54117023 -12.82639919
#> 337 13.73167837 -6.49895064 -12.74361197
#> 338 13.77294069 -6.45677985 -12.66092044
#> 339 13.81415569 -6.41465743 -12.57832375
#> 340 13.85532378 -6.37258295 -12.49582107
#> 341 13.89644537 -6.33055599 -12.41341157
#> 342 13.93752088 -6.28857613 -12.33109443
#> 343 13.97855071 -6.24664295 -12.24886882
#> 344 14.01953527 -6.20475604 -12.16673395
#> 345 14.06047496 -6.16291499 -12.08468899
#> 346 14.10137017 -6.12111939 -12.00273316
#> 347 14.14222132 -6.07936883 -11.92086565
#> 348 14.18302878 -6.03766292 -11.83908567
#> 349 14.22379296 -5.99600124 -11.75739245
#> 350 14.26451424 -5.95438340 -11.67578519
#> 351 14.30519301 -5.91280902 -11.59426312
#> 352 14.34582965 -5.87127768 -11.51282548
#> 353 14.38642456 -5.82978901 -11.43147149
#> 354 14.42697809 -5.78834261 -11.35020040
#> 355 14.46749064 -5.74693810 -11.26901144
#> 356 14.50796258 -5.70557509 -11.18790388
#> 357 14.54839428 -5.66425321 -11.10687695
#> 358 14.58878612 -5.62297208 -11.02592992
#> 359 14.62913845 -5.58173132 -10.94506205
#> 360 14.66945165 -5.54053055 -10.86427261
#> 361 14.70972608 -5.49936940 -10.78356086
#> 362 14.74996210 -5.45824751 -10.70292608
#> 363 14.79016007 -5.41716451 -10.62236756
#> 364 14.83032035 -5.37612002 -10.54188457
#> 365 14.87044329 -5.33511370 -10.46147640
#> 366 14.91052926 -5.29414517 -10.38114235
#> 367 14.95057859 -5.25321408 -10.30088171
#> 368 14.99059164 -5.21232007 -10.22069378
#> 369 15.03056875 -5.17146278 -10.14057786
#> 370 15.07051028 -5.13064187 -10.06053327
#> 371 15.11041656 -5.08985698 -9.98055931
#> 372 15.15028793 -5.04910776 -9.90065530
#> 373 15.19012474 -5.00839387 -9.82082056
#> 374 15.22992733 -4.96771495 -9.74105440
#> 375 15.26969602 -4.92707068 -9.66135617
#> 376 15.30943116 -4.88646070 -9.58172519
#> 377 15.34913308 -4.84588467 -9.50216078
#> 378 15.38880210 -4.80534226 -9.42266230
#> 379 15.42843855 -4.76483314 -9.34322907
#> 380 15.46804277 -4.72435695 -9.26386045
#> 381 15.50761508 -4.68391339 -9.18455579
#> 382 15.54715581 -4.64350210 -9.10531442
#> 383 15.58666526 -4.60312277 -9.02613571
#> 384 15.62614378 -4.56277507 -8.94701901
#> 385 15.66559166 -4.52245866 -8.86796369
#> 386 15.70500924 -4.48217323 -8.78896911
#> 387 15.74439683 -4.44191845 -8.71003463
#> 388 15.78375474 -4.40169400 -8.63115963
#> 389 15.82308328 -4.36149957 -8.55234348
#> 390 15.86238278 -4.32133483 -8.47358555
#> 391 15.90165352 -4.28119946 -8.39488522
#> 392 15.94089584 -4.24109315 -8.31624188
#> 393 15.98011002 -4.20101560 -8.23765491
#> 394 16.01929638 -4.16096648 -8.15912370
#> 395 16.05845522 -4.12094548 -8.08064764
#> 396 16.09758685 -4.08095230 -8.00222611
#> 397 16.13669156 -4.04098662 -7.92385853
#> 398 16.17576966 -4.00104815 -7.84554428
#> 399 16.21482144 -3.96113657 -7.76728277
#> 400 16.25384721 -3.92125158 -7.68907341
#> 401 16.29284725 -3.88139288 -7.61091559
#> 402 16.33182186 -3.84156017 -7.53280873
#> 403 16.37077134 -3.80175314 -7.45475224
#> 404 16.40969598 -3.76197150 -7.37674553
#> 405 16.44859607 -3.72221496 -7.29878802
#> 406 16.48747190 -3.68248321 -7.22087913
#> 407 16.52632376 -3.64277595 -7.14301828
#> 408 16.56515193 -3.60309291 -7.06520490
#> 409 16.60395670 -3.56343377 -6.98743840
#> 410 16.64273836 -3.52379826 -6.90971823
#> 411 16.68149720 -3.48418608 -6.83204380
#> 412 16.72023348 -3.44459694 -6.75441456
#> 413 16.75894751 -3.40503056 -6.67682993
#> 414 16.79763955 -3.36548664 -6.59928936
#> 415 16.83630989 -3.32596490 -6.52179228
#> 416 16.87495880 -3.28646506 -6.44433813
#> 417 16.91358657 -3.24698683 -6.36692637
#> 418 16.95219347 -3.20752992 -6.28955642
#> 419 16.99077978 -3.16809407 -6.21222775
#> 420 17.02934576 -3.12867898 -6.13493980
#> 421 17.06789170 -3.08928438 -6.05769202
#> 422 17.10641787 -3.04990999 -5.98048386
#> 423 17.14492454 -3.01055552 -5.90331478
#> 424 17.18341198 -2.97122071 -5.82618424
#> 425 17.22188046 -2.93190528 -5.74909170
#> 426 17.26033025 -2.89260895 -5.67203661
#> 427 17.29876161 -2.85333144 -5.59501844
#> 428 17.33717483 -2.81407249 -5.51803666
#> 429 17.37557015 -2.77483182 -5.44109072
#> 430 17.41394785 -2.73560916 -5.36418010
#> 431 17.45230820 -2.69640425 -5.28730426
#> 432 17.49065145 -2.65721680 -5.21046268
#> 433 17.52897787 -2.61804655 -5.13365483
#> 434 17.56728772 -2.57889323 -5.05688017
#> 435 17.60558127 -2.53975658 -4.98013820
#> 436 17.64385878 -2.50063633 -4.90342838
#> 437 17.68212049 -2.46153220 -4.82675019
#> 438 17.72036669 -2.42244395 -4.75010312
#> 439 17.75859762 -2.38337129 -4.67348663
#> 440 17.79681354 -2.34431398 -4.59690023
#> 441 17.83501471 -2.30527174 -4.52034338
#> 442 17.87320139 -2.26624431 -4.44381558
#> 443 17.91137383 -2.22723144 -4.36731632
#> 444 17.94953228 -2.18823285 -4.29084507
#> 445 17.98767701 -2.14924829 -4.21440134
#> 446 18.02580827 -2.11027751 -4.13798460
#> 447 18.06392630 -2.07132023 -4.06159436
#> 448 18.10203137 -2.03237621 -3.98523010
#> 449 18.14012373 -1.99344518 -3.90889133
#> 450 18.17820362 -1.95452688 -3.83257753
#> 451 18.21627131 -1.91562107 -3.75628820
#> 452 18.25432703 -1.87672748 -3.68002284
#> 453 18.29237104 -1.83784586 -3.60378095
#> 454 18.33040359 -1.79897595 -3.52756203
#> 455 18.36842493 -1.76011750 -3.45136557
#> 456 18.40643530 -1.72127026 -3.37519109
#> 457 18.44443496 -1.68243397 -3.29903808
#> 458 18.48242415 -1.64360837 -3.22290605
#> 459 18.52040313 -1.60479322 -3.14679450
#> 460 18.55837212 -1.56598827 -3.07070294
#> 461 18.59633139 -1.52719325 -2.99463087
#> 462 18.63428118 -1.48840793 -2.91857781
#> 463 18.67222174 -1.44963205 -2.84254325
#> 464 18.71015330 -1.41086535 -2.76652672
#> 465 18.74807611 -1.37210760 -2.69052771
#> 466 18.78599042 -1.33335853 -2.61454574
#> 467 18.82389647 -1.29461791 -2.53858033
#> 468 18.86179451 -1.25588547 -2.46263098
#> 469 18.89968477 -1.21716099 -2.38669720
#> 470 18.93756751 -1.17844419 -2.31077852
#> 471 18.97544296 -1.13973485 -2.23487444
#> 472 19.01331136 -1.10103270 -2.15898447
#> 473 19.05117296 -1.06233751 -2.08310815
#> 474 19.08902799 -1.02364903 -2.00724497
#> 475 19.12687670 -0.98496700 -1.93139446
#> 476 19.16471934 -0.94629119 -1.85555614
#> 477 19.20255613 -0.90762135 -1.77972952
#> 478 19.24038733 -0.86895723 -1.70391412
#> 479 19.27821316 -0.83029859 -1.62810946
#> 480 19.31603388 -0.79164518 -1.55231507
#> 481 19.35384972 -0.75299676 -1.47653045
#> 482 19.39166091 -0.71435308 -1.40075513
#> 483 19.42946771 -0.67571390 -1.32498863
#> 484 19.46727034 -0.63707897 -1.24923047
#> 485 19.50506905 -0.59844805 -1.17348017
#> 486 19.54286408 -0.55982090 -1.09773726
#> 487 19.58065566 -0.52119727 -1.02200126
#> 488 19.61844403 -0.48257691 -0.94627168
#> 489 19.65622943 -0.44395960 -0.87054806
#> 490 19.69401210 -0.40534507 -0.79482991
#> 491 19.73179227 -0.36673310 -0.71911675
#> 492 19.76957019 -0.32812343 -0.64340812
#> 493 19.80734609 -0.28951582 -0.56770353
#> 494 19.84512021 -0.25091003 -0.49200252
#> 495 19.88289279 -0.21230582 -0.41630459
#> 496 19.92066406 -0.17370294 -0.34060928
#> 497 19.95843427 -0.13510116 -0.26491611
#> 498 19.99620364 -0.09650022 -0.18922460
#> 499 20.03397242 -0.05789989 -0.11353429
#> 500 20.07174085 -0.01929992 -0.03784468
#> 501 20.10950915 0.01929992 0.03784468
#> 502 20.14727758 0.05789989 0.11353429
#> 503 20.18504636 0.09650022 0.18922460
#> 504 20.22281573 0.13510116 0.26491611
#> 505 20.26058594 0.17370294 0.34060928
#> 506 20.29835721 0.21230582 0.41630459
#> 507 20.33612979 0.25091003 0.49200252
#> 508 20.37390391 0.28951582 0.56770353
#> 509 20.41167981 0.32812343 0.64340812
#> 510 20.44945773 0.36673310 0.71911675
#> 511 20.48723790 0.40534507 0.79482991
#> 512 20.52502057 0.44395960 0.87054806
#> 513 20.56280597 0.48257691 0.94627168
#> 514 20.60059434 0.52119727 1.02200126
#> 515 20.63838592 0.55982090 1.09773726
#> 516 20.67618095 0.59844805 1.17348017
#> 517 20.71397966 0.63707897 1.24923047
#> 518 20.75178229 0.67571390 1.32498863
#> 519 20.78958909 0.71435308 1.40075513
#> 520 20.82740028 0.75299676 1.47653045
#> 521 20.86521612 0.79164518 1.55231507
#> 522 20.90303684 0.83029859 1.62810946
#> 523 20.94086267 0.86895723 1.70391412
#> 524 20.97869387 0.90762135 1.77972952
#> 525 21.01653066 0.94629119 1.85555614
#> 526 21.05437330 0.98496700 1.93139446
#> 527 21.09222201 1.02364903 2.00724497
#> 528 21.13007704 1.06233751 2.08310815
#> 529 21.16793864 1.10103270 2.15898447
#> 530 21.20580704 1.13973485 2.23487444
#> 531 21.24368249 1.17844419 2.31077852
#> 532 21.28156523 1.21716099 2.38669720
#> 533 21.31945549 1.25588547 2.46263098
#> 534 21.35735353 1.29461791 2.53858033
#> 535 21.39525958 1.33335853 2.61454574
#> 536 21.43317389 1.37210760 2.69052771
#> 537 21.47109670 1.41086535 2.76652672
#> 538 21.50902826 1.44963205 2.84254325
#> 539 21.54696882 1.48840793 2.91857781
#> 540 21.58491861 1.52719325 2.99463087
#> 541 21.62287788 1.56598827 3.07070294
#> 542 21.66084687 1.60479322 3.14679450
#> 543 21.69882585 1.64360837 3.22290605
#> 544 21.73681504 1.68243397 3.29903808
#> 545 21.77481470 1.72127026 3.37519109
#> 546 21.81282507 1.76011750 3.45136557
#> 547 21.85084641 1.79897595 3.52756203
#> 548 21.88887896 1.83784586 3.60378095
#> 549 21.92692297 1.87672748 3.68002284
#> 550 21.96497869 1.91562107 3.75628820
#> 551 22.00304638 1.95452688 3.83257753
#> 552 22.04112627 1.99344518 3.90889133
#> 553 22.07921863 2.03237621 3.98523010
#> 554 22.11732370 2.07132023 4.06159436
#> 555 22.15544173 2.11027751 4.13798460
#> 556 22.19357299 2.14924829 4.21440134
#> 557 22.23171772 2.18823285 4.29084507
#> 558 22.26987617 2.22723144 4.36731632
#> 559 22.30804861 2.26624431 4.44381558
#> 560 22.34623529 2.30527174 4.52034338
#> 561 22.38443646 2.34431398 4.59690023
#> 562 22.42265238 2.38337129 4.67348663
#> 563 22.46088331 2.42244395 4.75010312
#> 564 22.49912951 2.46153220 4.82675019
#> 565 22.53739122 2.50063633 4.90342838
#> 566 22.57566873 2.53975658 4.98013820
#> 567 22.61396228 2.57889323 5.05688017
#> 568 22.65227213 2.61804655 5.13365483
#> 569 22.69059855 2.65721680 5.21046268
#> 570 22.72894180 2.69640425 5.28730426
#> 571 22.76730215 2.73560916 5.36418010
#> 572 22.80567985 2.77483182 5.44109072
#> 573 22.84407517 2.81407249 5.51803666
#> 574 22.88248839 2.85333144 5.59501844
#> 575 22.92091975 2.89260895 5.67203661
#> 576 22.95936954 2.93190528 5.74909170
#> 577 22.99783802 2.97122071 5.82618424
#> 578 23.03632546 3.01055552 5.90331478
#> 579 23.07483213 3.04990999 5.98048386
#> 580 23.11335830 3.08928438 6.05769202
#> 581 23.15190424 3.12867898 6.13493980
#> 582 23.19047022 3.16809407 6.21222775
#> 583 23.22905653 3.20752992 6.28955642
#> 584 23.26766343 3.24698683 6.36692637
#> 585 23.30629120 3.28646506 6.44433813
#> 586 23.34494011 3.32596490 6.52179228
#> 587 23.38361045 3.36548664 6.59928936
#> 588 23.42230249 3.40503056 6.67682993
#> 589 23.46101652 3.44459694 6.75441456
#> 590 23.49975280 3.48418608 6.83204380
#> 591 23.53851164 3.52379826 6.90971823
#> 592 23.57729330 3.56343377 6.98743840
#> 593 23.61609807 3.60309291 7.06520490
#> 594 23.65492624 3.64277595 7.14301828
#> 595 23.69377810 3.68248321 7.22087913
#> 596 23.73265393 3.72221496 7.29878802
#> 597 23.77155402 3.76197150 7.37674553
#> 598 23.81047866 3.80175314 7.45475224
#> 599 23.84942814 3.84156017 7.53280873
#> 600 23.88840275 3.88139288 7.61091559
#> 601 23.92740279 3.92125158 7.68907341
#> 602 23.96642856 3.96113657 7.76728277
#> 603 24.00548034 4.00104815 7.84554428
#> 604 24.04455844 4.04098662 7.92385853
#> 605 24.08366315 4.08095230 8.00222611
#> 606 24.12279478 4.12094548 8.08064764
#> 607 24.16195362 4.16096648 8.15912370
#> 608 24.20113998 4.20101560 8.23765491
#> 609 24.24035416 4.24109315 8.31624188
#> 610 24.27959648 4.28119946 8.39488522
#> 611 24.31886722 4.32133483 8.47358555
#> 612 24.35816672 4.36149957 8.55234348
#> 613 24.39749526 4.40169400 8.63115963
#> 614 24.43685317 4.44191845 8.71003463
#> 615 24.47624076 4.48217323 8.78896911
#> 616 24.51565834 4.52245866 8.86796369
#> 617 24.55510622 4.56277507 8.94701901
#> 618 24.59458474 4.60312277 9.02613571
#> 619 24.63409419 4.64350210 9.10531442
#> 620 24.67363492 4.68391339 9.18455579
#> 621 24.71320723 4.72435695 9.26386045
#> 622 24.75281145 4.76483314 9.34322907
#> 623 24.79244790 4.80534226 9.42266230
#> 624 24.83211692 4.84588467 9.50216078
#> 625 24.87181884 4.88646070 9.58172519
#> 626 24.91155398 4.92707068 9.66135617
#> 627 24.95132267 4.96771495 9.74105440
#> 628 24.99112526 5.00839387 9.82082056
#> 629 25.03096207 5.04910776 9.90065530
#> 630 25.07083344 5.08985698 9.98055931
#> 631 25.11073972 5.13064187 10.06053327
#> 632 25.15068125 5.17146278 10.14057786
#> 633 25.19065836 5.21232007 10.22069378
#> 634 25.23067141 5.25321408 10.30088171
#> 635 25.27072074 5.29414517 10.38114235
#> 636 25.31080671 5.33511370 10.46147640
#> 637 25.35092965 5.37612002 10.54188457
#> 638 25.39108993 5.41716451 10.62236756
#> 639 25.43128790 5.45824751 10.70292608
#> 640 25.47152392 5.49936940 10.78356086
#> 641 25.51179835 5.54053055 10.86427261
#> 642 25.55211155 5.58173132 10.94506205
#> 643 25.59246388 5.62297208 11.02592992
#> 644 25.63285572 5.66425321 11.10687695
#> 645 25.67328742 5.70557509 11.18790388
#> 646 25.71375936 5.74693810 11.26901144
#> 647 25.75427191 5.78834261 11.35020040
#> 648 25.79482544 5.82978901 11.43147149
#> 649 25.83542035 5.87127768 11.51282548
#> 650 25.87605699 5.91280902 11.59426312
#> 651 25.91673576 5.95438340 11.67578519
#> 652 25.95745704 5.99600124 11.75739245
#> 653 25.99822122 6.03766292 11.83908567
#> 654 26.03902868 6.07936883 11.92086565
#> 655 26.07987983 6.12111939 12.00273316
#> 656 26.12077504 6.16291499 12.08468899
#> 657 26.16171473 6.20475604 12.16673395
#> 658 26.20269929 6.24664295 12.24886882
#> 659 26.24372912 6.28857613 12.33109443
#> 660 26.28480463 6.33055599 12.41341157
#> 661 26.32592622 6.37258295 12.49582107
#> 662 26.36709431 6.41465743 12.57832375
#> 663 26.40830931 6.45677985 12.66092044
#> 664 26.44957163 6.49895064 12.74361197
#> 665 26.49088170 6.54117023 12.82639919
#> 666 26.53223993 6.58343904 12.90928293
#> 667 26.57364675 6.62575751 12.99226404
#> 668 26.61510259 6.66812608 13.07534340
#> 669 26.65660789 6.71054519 13.15852185
#> 670 26.69816306 6.75301528 13.24180027
#> 671 26.73976856 6.79553680 13.32517953
#> 672 26.78142481 6.83811019 13.40866052
#> 673 26.82313227 6.88073592 13.49224413
#> 674 26.86489138 6.92341443 13.57593124
#> 675 26.90670259 6.96614619 13.65972276
#> 676 26.94856635 7.00893166 13.74361960
#> 677 26.99048312 7.05177130 13.82762266
#> 678 27.03245335 7.09466559 13.91173289
#> 679 27.07447752 7.13761500 13.99595119
#> 680 27.11655609 7.18062000 14.08027851
#> 681 27.15868952 7.22368108 14.16471578
#> 682 27.20087830 7.26679872 14.24926396
#> 683 27.24312289 7.30997341 14.33392401
#> 684 27.28542378 7.35320563 14.41869688
#> 685 27.32778146 7.39649589 14.50358355
#> 686 27.37019641 7.43984469 14.58858500
#> 687 27.41266912 7.48325252 14.67370221
#> 688 27.45520010 7.52671989 14.75893617
#> 689 27.49778983 7.57024732 14.84428789
#> 690 27.54043883 7.61383531 14.92975839
#> 691 27.58314760 7.65748440 15.01534866
#> 692 27.62591666 7.70119509 15.10105975
#> 693 27.66874651 7.74496792 15.18689268
#> 694 27.71163768 7.78880343 15.27284851
#> 695 27.75459070 7.83270214 15.35892827
#> 696 27.79760610 7.87666459 15.44513303
#> 697 27.84068439 7.92069134 15.53146385
#> 698 27.88382614 7.96478293 15.61792182
#> 699 27.92703186 8.00893991 15.70450802
#> 700 27.97030212 8.05316284 15.79122354
#> 701 28.01363746 8.09745229 15.87806950
#> 702 28.05703844 8.14180882 15.96504699
#> 703 28.10050562 8.18623301 16.05215715
#> 704 28.14403956 8.23072544 16.13940111
#> 705 28.18764084 8.27528667 16.22678001
#> 706 28.23131002 8.31991732 16.31429500
#> 707 28.27504770 8.36461796 16.40194724
#> 708 28.31885445 8.40938919 16.48973791
#> 709 28.36273086 8.45423162 16.57766819
#> 710 28.40667753 8.49914586 16.66573927
#> 711 28.45069505 8.54413251 16.75395236
#> 712 28.49478405 8.58919221 16.84230866
#> 713 28.53894511 8.63432557 16.93080940
#> 714 28.58317888 8.67953321 17.01945583
#> 715 28.62748595 8.72481579 17.10824918
#> 716 28.67186697 8.77017394 17.19719072
#> 717 28.71632256 8.81560831 17.28628171
#> 718 28.76085337 8.86111955 17.37552343
#> 719 28.80546005 8.90670832 17.46491719
#> 720 28.85014323 8.95237528 17.55446427
#> 721 28.89490358 8.99812112 17.64416601
#> 722 28.93974177 9.04394650 17.73402373
#> 723 28.98465845 9.08985211 17.82403877
#> 724 29.02965432 9.13583864 17.91421248
#> 725 29.07473004 9.18190679 18.00454624
#> 726 29.11988632 9.22805727 18.09504142
#> 727 29.16512384 9.27429077 18.18569943
#> 728 29.21044330 9.32060803 18.27652165
#> 729 29.25584543 9.36700977 18.36750953
#> 730 29.30133092 9.41349671 18.45866448
#> 731 29.34690051 9.46006960 18.54998796
#> 732 29.39255492 9.50672918 18.64148144
#> 733 29.43829489 9.55347620 18.73314638
#> 734 29.48412117 9.60031143 18.82498428
#> 735 29.53003451 9.64723563 18.91699665
#> 736 29.57603567 9.69424959 19.00918501
#> 737 29.62212540 9.74135408 19.10155090
#> 738 29.66830450 9.78854990 19.19409587
#> 739 29.71457374 9.83583784 19.28682148
#> 740 29.76093391 9.88321871 19.37972932
#> 741 29.80738581 9.93069334 19.47282100
#> 742 29.85393025 9.97826254 19.56609813
#> 743 29.90056804 10.02592715 19.65956234
#> 744 29.94730001 10.07368801 19.75321528
#> 745 29.99412699 10.12154597 19.84705863
#> 746 30.04104982 10.16950190 19.94109407
#> 747 30.08806935 10.21755665 20.03532330
#> 748 30.13518644 10.26571111 20.12974805
#> 749 30.18240196 10.31396617 20.22437005
#> 750 30.22971679 10.36232271 20.31919106
#> 751 30.27713180 10.41078166 20.41421287
#> 752 30.32464791 10.45934393 20.50943726
#> 753 30.37226602 10.50801043 20.60486607
#> 754 30.41998704 10.55678212 20.70050111
#> 755 30.46781189 10.60565993 20.79634425
#> 756 30.51574153 10.65464482 20.89239737
#> 757 30.56377689 10.70373777 20.98866237
#> 758 30.61191892 10.75293974 21.08514115
#> 759 30.66016861 10.80225174 21.18183568
#> 760 30.70852693 10.85167476 21.27874790
#> 761 30.75699487 10.90120981 21.37587981
#> 762 30.80557343 10.95085792 21.47323341
#> 763 30.85426363 11.00062012 21.57081073
#> 764 30.90306649 11.05049746 21.66861383
#> 765 30.95198305 11.10049101 21.76664478
#> 766 31.00101435 11.15060182 21.86490569
#> 767 31.05016146 11.20083100 21.96339869
#> 768 31.09942545 11.25117963 22.06212592
#> 769 31.14880741 11.30164882 22.16108956
#> 770 31.19830844 11.35223971 22.26029182
#> 771 31.24792964 11.40295342 22.35973493
#> 772 31.29767215 11.45379110 22.45942114
#> 773 31.34753711 11.50475393 22.55935273
#> 774 31.39752567 11.55584308 22.65953202
#> 775 31.44763899 11.60705973 22.75996135
#> 776 31.49787826 11.65840511 22.86064307
#> 777 31.54824467 11.70988043 22.96157960
#> 778 31.59873943 11.76148693 23.06277335
#> 779 31.64936377 11.81322587 23.16422679
#> 780 31.70011894 11.86509850 23.26594240
#> 781 31.75100618 11.91710612 23.36792270
#> 782 31.80202677 11.96925002 23.47017023
#> 783 31.85318200 12.02153153 23.57268759
#> 784 31.90447318 12.07395198 23.67547739
#> 785 31.95590162 12.12651271 23.77854228
#> 786 32.00746867 12.17921510 23.88188493
#> 787 32.05917568 12.23206054 23.98550808
#> 788 32.11102402 12.28505042 24.08941447
#> 789 32.16301509 12.33818617 24.19360689
#> 790 32.21515031 12.39146924 24.29808818
#> 791 32.26743109 12.44490108 24.40286118
#> 792 32.31985888 12.49848317 24.50792882
#> 793 32.37243516 12.55221701 24.61329402
#> 794 32.42516141 12.60610412 24.71895976
#> 795 32.47803913 12.66014605 24.82492908
#> 796 32.53106986 12.71434435 24.93120503
#> 797 32.58425515 12.76870061 25.03779071
#> 798 32.63759656 12.82321643 25.14468927
#> 799 32.69109569 12.87789344 25.25190390
#> 800 32.74475415 12.93273329 25.35943784
#> 801 32.79857357 12.98773765 25.46729436
#> 802 32.85255562 13.04290822 25.57547679
#> 803 32.90670198 13.09824671 25.68398851
#> 804 32.96101436 13.15375487 25.79283292
#> 805 33.01549448 13.20943448 25.90201352
#> 806 33.07014411 13.26528732 26.01153380
#> 807 33.12496502 13.32131521 26.12139735
#> 808 33.17995902 13.37752001 26.23160778
#> 809 33.23512795 13.43390359 26.34216877
#> 810 33.29047367 13.49046784 26.45308404
#> 811 33.34599806 13.54721471 26.56435740
#> 812 33.40170305 13.60414614 26.67599266
#> 813 33.45759056 13.66126413 26.78799373
#> 814 33.51366259 13.71857068 26.90036458
#> 815 33.56992114 13.77606787 27.01310920
#> 816 33.62636823 13.83375775 27.12623169
#> 817 33.68300594 13.89164244 27.23973617
#> 818 33.73983636 13.94972408 27.35362686
#> 819 33.79686162 14.00800486 27.46790803
#> 820 33.85408389 14.06648698 27.58258399
#> 821 33.91150536 14.12517269 27.69765917
#> 822 33.96912826 14.18406427 27.81313804
#> 823 34.02695486 14.24316404 27.92902512
#> 824 34.08498747 14.30247434 28.04532505
#> 825 34.14322842 14.36199757 28.16204251
#> 826 34.20168010 14.42173617 28.27918226
#> 827 34.26034491 14.48169260 28.39674915
#> 828 34.31922531 14.54186936 28.51474811
#> 829 34.37832381 14.60226902 28.63318412
#> 830 34.43764293 14.66289417 28.75206229
#> 831 34.49718526 14.72374743 28.87138777
#> 832 34.55695343 14.78483150 28.99116583
#> 833 34.61695009 14.84614910 29.11140180
#> 834 34.67717796 14.90770300 29.23210114
#> 835 34.73763980 14.96949602 29.35326936
#> 836 34.79833842 15.03153103 29.47491209
#> 837 34.85927666 15.09381095 29.59703504
#> 838 34.92045744 15.15633874 29.71964405
#> 839 34.98188371 15.21911742 29.84274503
#> 840 35.04355848 15.28215007 29.96634400
#> 841 35.10548481 15.34543982 30.09044711
#> 842 35.16766580 15.40898984 30.21506060
#> 843 35.23010464 15.47280339 30.34019081
#> 844 35.29280455 15.53688376 30.46584422
#> 845 35.35576882 15.60123430 30.59202742
#> 846 35.41900080 15.66585845 30.71874712
#> 847 35.48250390 15.73075968 30.84601015
#> 848 35.54628158 15.79594155 30.97382346
#> 849 35.61033739 15.86140767 31.10219416
#> 850 35.67467493 15.92716172 31.23112945
#> 851 35.73929787 15.99320746 31.36063671
#> 852 35.80420996 16.05954871 31.49072342
#> 853 35.86941502 16.12618937 31.62139725
#> 854 35.93491692 16.19313342 31.75266597
#> 855 36.00071963 16.26038490 31.88453754
#> 856 36.06682721 16.32794796 32.01702006
#> 857 36.13324376 16.39582679 32.15012178
#> 858 36.19997349 16.46402570 32.28385114
#> 859 36.26702070 16.53254908 32.41821673
#> 860 36.33438975 16.60140139 32.55322731
#> 861 36.40208512 16.67058720 32.68889184
#> 862 36.47011136 16.74011116 32.82521945
#> 863 36.53847312 16.80997803 32.96221945
#> 864 36.60717514 16.88019266 33.09990136
#> 865 36.67622228 16.95075999 33.23827490
#> 866 36.74561948 17.02168511 33.37734998
#> 867 36.81537180 17.09297315 33.51713674
#> 868 36.88548441 17.16462942 33.65764552
#> 869 36.95596257 17.23665928 33.79888689
#> 870 37.02681168 17.30906827 33.94087165
#> 871 37.09803724 17.38186199 34.08361085
#> 872 37.16964489 17.45504622 34.22711577
#> 873 37.24164039 17.52862683 34.37139794
#> 874 37.31402961 17.60260984 34.51646917
#> 875 37.38681858 17.67700139 34.66234151
#> 876 37.46001346 17.75180779 34.80902730
#> 877 37.53362055 17.82703547 34.95653917
#> 878 37.60764628 17.90269102 35.10489004
#> 879 37.68209726 17.97878118 35.25409312
#> 880 37.75698025 18.05531285 35.40416195
#> 881 37.83230215 18.13229310 35.55511039
#> 882 37.90807004 18.20972917 35.70695262
#> 883 37.98429118 18.28762846 35.85970318
#> 884 38.06097300 18.36599857 36.01337696
#> 885 38.13812311 18.44484728 36.16798921
#> 886 38.21574931 18.52418257 36.32355557
#> 887 38.29385960 18.60401260 36.48009207
#> 888 38.37246219 18.68434577 36.63761514
#> 889 38.45156547 18.76519066 36.79614165
#> 890 38.53117809 18.84655610 36.95568888
#> 891 38.61130890 18.92845114 37.11627458
#> 892 38.69196697 19.01088505 37.27791695
#> 893 38.77316165 19.09386737 37.44063469
#> 894 38.85490250 19.17740790 37.60444700
#> 895 38.93719936 19.26151668 37.76937357
#> 896 39.02006234 19.34620404 37.93543467
#> 897 39.10350182 19.43148060 38.10265110
#> 898 39.18752848 19.51735726 38.27104425
#> 899 39.27215328 19.60384523 38.44063612
#> 900 39.35738751 19.69095605 38.61144932
#> 901 39.44324278 19.77870159 38.78350711
#> 902 39.52973105 19.86709405 38.95683343
#> 903 39.61686459 19.95614600 39.13145293
#> 904 39.70465607 20.04587038 39.30739097
#> 905 39.79311854 20.13628051 39.48467368
#> 906 39.88226541 20.22739012 39.66332799
#> 907 39.97211054 20.31921335 39.84338162
#> 908 40.06266820 20.41176480 40.02486319
#> 909 40.15395309 20.50505950 40.20780218
#> 910 40.24598041 20.59911297 40.39222901
#> 911 40.33876581 20.69394121 40.57817509
#> 912 40.43232546 20.78956076 40.76567280
#> 913 40.52667608 20.88598868 40.95475563
#> 914 40.62183490 20.98324260 41.14545815
#> 915 40.71781976 21.08134074 41.33781607
#> 916 40.81464908 21.18030194 41.53186634
#> 917 40.91234193 21.28014568 41.72764716
#> 918 41.01091803 21.38089212 41.92519805
#> 919 41.11039779 21.48256211 42.12455992
#> 920 41.21080236 21.58517727 42.32577514
#> 921 41.31215363 21.68875998 42.52888760
#> 922 41.41447430 21.79333343 42.73394277
#> 923 41.51778790 21.89892167 42.94098782
#> 924 41.62211885 22.00554966 43.15007168
#> 925 41.72749248 22.11324328 43.36124513
#> 926 41.83393511 22.22202945 43.57456090
#> 927 41.94147407 22.33193608 43.79007376
#> 928 42.05013777 22.44299221 44.00784065
#> 929 42.15995577 22.55522805 44.22792080
#> 930 42.27095880 22.66867502 44.45037581
#> 931 42.38317888 22.78336584 44.67526985
#> 932 42.49664937 22.89933459 44.90266975
#> 933 42.61140501 23.01661679 45.13264517
#> 934 42.72748207 23.13524951 45.36526877
#> 935 42.84491839 23.25527140 45.60061638
#> 936 42.96375349 23.37672287 45.83876719
#> 937 43.08402865 23.49964612 46.07980397
#> 938 43.20578707 23.62408527 46.32381326
#> 939 43.32907393 23.75008652 46.57088562
#> 940 43.45393657 23.87769825 46.82111591
#> 941 43.58042460 24.00697114 47.07460353
#> 942 43.70859003 24.13795837 47.33145276
#> 943 43.83848748 24.27071576 47.59177303
#> 944 43.97017433 24.40530194 47.85567935
#> 945 44.10371092 24.54177859 48.12329261
#> 946 44.23916074 24.68021059 48.39474008
#> 947 44.37659069 24.82066630 48.67015580
#> 948 44.51607129 24.96321783 48.94968113
#> 949 44.65767699 25.10794124 49.23346526
#> 950 44.80148645 25.25491694 49.52166582
#> 951 44.94758288 25.40422995 49.81444956
#> 952 45.09605437 25.55597032 50.11199304
#> 953 45.24699433 25.71023350 50.41448343
#> 954 45.40050189 25.86712082 50.72211942
#> 955 45.55668243 26.02673996 51.03511216
#> 956 45.71564806 26.18920551 51.35368636
#> 957 45.87751827 26.35463960 51.67808147
#> 958 46.04242058 26.52317254 52.00855303
#> 959 46.21049127 26.69494362 52.34537417
#> 960 46.38187624 26.87010194 52.68883727
#> 961 46.55673191 27.04880738 53.03925581
#> 962 46.73522631 27.23123167 53.39696653
#> 963 46.91754024 27.41755958 53.76233176
#> 964 47.10386864 27.60799035 54.13574218
#> 965 47.29442211 27.80273920 54.51761980
#> 966 47.48942862 28.00203915 54.90842153
#> 967 47.68913557 28.20614302 55.30864314
#> 968 47.89381203 28.41532581 55.71882387
#> 969 48.10375139 28.62988737 56.13955169
#> 970 48.31927443 28.85015555 56.57146946
#> 971 48.54073289 29.07648983 57.01528205
#> 972 48.76851358 29.30928553 57.47176469
#> 973 49.00304333 29.54897890 57.94177276
#> 974 49.24479475 29.79605292 58.42625335
#> 975 49.49429305 30.05104439 58.92625904
#> 976 49.75212431 30.31455229 59.44296437
#> 977 50.01894537 30.58724790 59.97768563
#> 978 50.29549576 30.86988706 60.53190492
#> 979 50.58261247 31.16332518 61.10729958
#> 980 50.88124799 31.46853572 61.70577846
#> 981 51.19249290 31.78663325 62.32952709
#> 982 51.51760417 32.11890246 62.98106456
#> 983 51.85804137 32.46683501 63.66331584
#> 984 52.21551309 32.83217714 64.37970508
#> 985 52.59203784 33.21699178 65.13427743
#> 986 52.99002469 33.62374105 65.93186079
#> 987 53.41238238 34.05539773 66.77828439
#> 988 53.86266951 34.51559876 67.68067983
#> 989 54.34530635 35.00886175 68.64790554
#> 990 54.86588134 35.54089816 69.69116098
#> 991 55.43160829 36.11908064 70.82490296
#> 992 56.05203383 36.75316600 72.06826334
#> 993 56.74018057 37.45646357 73.44734004
#> 994 57.51449626 38.24782726 74.99910312
#> 995 58.40240924 39.15528929 76.77852025
#> 996 59.44741155 40.22329926 78.87275136
#> 997 60.72497566 41.52899133 81.43304669
#> 998 62.38524176 43.22581126 84.76029381
#> 999 64.80663077 45.70051165 89.61286514
#> 1000 69.67020919 50.67117077 99.35969268
# }