Transforms priors information to actual distributions.
Usage
simulate_prior(model, n = 1000, ...)
# S3 method for class 'brmsfit'
simulate_prior(
model,
n = 1000,
effects = "fixed",
component = "conditional",
parameters = NULL,
verbose = TRUE,
...
)Arguments
- model
A
stanreg,stanfit,brmsfit,blavaan, orMCMCglmmobject.- n
Size of the simulated prior distributions.
- ...
Currently not used.
- effects
Should results for fixed effects (
"fixed", the default), random effects ("random") or both ("all") be returned? Only applies to mixed models. May be abbreviated.- component
Which type of parameters to return, such as parameters for the conditional model, the zero-inflated part of the model, the dispersion term, etc. See details in section Model Components. May be abbreviated. Note that the conditional component also refers to the count or mean component - names may differ, depending on the modeling package. There are three convenient shortcuts (not applicable to all model classes):
component = "all"returns all possible parameters.If
component = "location", location parameters such asconditional,zero_inflated,smooth_terms, orinstrumentsare returned (everything that are fixed or random effects - depending on theeffectsargument - but no auxiliary parameters).For
component = "distributional"(or"auxiliary"), components likesigma,dispersion,betaorprecision(and other auxiliary parameters) are returned.
- parameters
Regular expression pattern that describes the parameters that should be returned. Meta-parameters (like
lp__orprior_) are filtered by default, so only parameters that typically appear in thesummary()are returned. Useparametersto select specific parameters for the output.- verbose
Toggle off warnings.
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
# }