Derives bivariate isolines using the non-parametric approach of Cooley et al. (2019).
Cooley19.RdThe Cooley et al. (2019) method exploits bivariate regular variation and kernel density estimation to generate isolines of bivariate exceedance probabilities. The function utilizes the ks and texmex packages, and works for both asymptotic dependence and independence.
Usage
Cooley19(
Data,
Migpd,
p.base = 0.01,
p.proj = 0.001,
u = 0.95,
PLOT = FALSE,
x_lim_min_T = NA,
x_lim_max_T = NA,
y_lim_min_T = NA,
y_lim_max_T = NA,
x_lim_min = NA,
x_lim_max = NA,
y_lim_min = NA,
y_lim_max = NA
)Arguments
- Data
Data frame consisting of two columns.
- Migpd
An
Migpdobject, containing the generalized Pareto models fitted (independently) to the variables comprising the columns ofData.- p.base
Numeric vector of length one specifying the exceedance probability of the base isoline. Default is
0.01.- p.proj
Numeric vector of length one specifying the exceedance probability of the projected isoline. Default is
0.001.- u
Numeric vector of length one specifying the quantile at which to estimate the asymptotic nature of the data i.e. chi and chibar. Default is
0.95.- PLOT
Logical; indicating whether to plot the base and projected isolines on the original and transformed scale. Default is
FALSE.- x_lim_min_T
Numeric vector of length one specifying the lower x-axis limit of the transformed scale plot. Default is
NA.- x_lim_max_T
Numeric vector of length one specifying the upper x-axis limit of the transformed scale plot. Default is
NA.- y_lim_min_T
Numeric vector of length one specifying the lower y-axis limit of the transformed scale plot. Default is
NA.- y_lim_max_T
Numeric vector of length one specifying the upper y-axis limit of the transformed scale plot. Default is
NA.- x_lim_min
Numeric vector of length one specifying the lower x-axis limit of the plot on the original scale. Default is
NA.- x_lim_max
Numeric vector of length one specifying the upper x-axis limit of the plot on the original scale. Default is
NA.- y_lim_min
Numeric vector of length one specifying the lower y-axis limit of the plot on the original scale. Default is
NA.- y_lim_max
Numeric vector of length one specifying the lower y-axis limit of the plot on the original scale. Default is
NA.
Value
List comprising a description of the type of (asymptoptic) dependence Asym, the values the extremal dependence measures Chi and n.bar, exceedance probabilities of the base p.base and projected p.proj isolines, as well as the points on the base I.base and projected I.proj isolines.
Examples
S20.GPD<-Migpd_Fit(Data=S20.Detrend.Declustered.df[,c(3,4)],
Data_Full=S20.Detrend.Declustered.df[,c(3,4)],
mqu =c(0.99,0.99))
Cooley19(Data=na.omit(S20.Detrend.df[,3:4]),Migpd=S20.GPD,
p.base=0.01,p.proj=0.001,PLOT=TRUE,x_lim_max_T=500,y_lim_max_T=500)
#> $Asym
#> [1] "Asymptotic dependence"
#>
#> $Chi
#> chi
#> 0.14
#>
#> $n.bar
#> [1] 0.608127
#>
#> $p.base
#> [1] 0.01
#>
#> $p.proj
#> [1] 0.001
#>
#> $I.base
#> x y
#> 1 0.4365900 3.0982183
#> 2 0.4415722 3.0982183
#> 3 0.4465544 3.0982183
#> 4 0.4515366 3.0982183
#> 5 0.4565188 3.0982183
#> 6 0.4615010 3.0982183
#> 7 0.4664831 3.0982183
#> 8 0.4714653 3.0982183
#> 9 0.4764475 3.0982183
#> 10 0.4814297 3.0982183
#> 11 0.4864119 3.0982183
#> 12 0.4913941 3.0982183
#> 13 0.4963763 3.0982183
#> 14 0.5013584 3.0982183
#> 15 0.5063406 3.0982183
#> 16 0.5113228 3.0982183
#> 17 0.5163050 3.0982183
#> 18 0.5212872 3.0982183
#> 19 0.5262694 3.0982183
#> 20 0.5312516 3.0982183
#> 21 0.5362338 3.0982183
#> 22 0.5412159 3.0982183
#> 23 0.5461981 3.0982183
#> 24 0.5511803 3.0982183
#> 25 0.5561625 3.0982183
#> 26 0.5611447 3.0982183
#> 27 0.5661269 3.0982183
#> 28 0.5711091 3.0982183
#> 29 0.5760912 3.0982183
#> 30 0.5810734 3.0982183
#> 31 0.5860556 3.0982183
#> 32 0.5910378 3.0982183
#> 33 0.5960200 3.0982183
#> 34 0.6010022 3.0982183
#> 35 0.6059844 3.0982183
#> 36 0.6109666 3.0982183
#> 37 0.6159487 3.0982183
#> 38 0.6209309 3.0982183
#> 39 0.6259131 3.0982183
#> 40 0.6308953 3.0982183
#> 41 0.6358775 3.0982183
#> 42 0.6408597 3.0982183
#> 43 0.6458419 3.0982183
#> 44 0.6508240 3.0982183
#> 45 0.6558062 3.0982183
#> 46 0.6607884 3.0982183
#> 47 0.6657706 3.0982183
#> 48 0.6707528 3.0982183
#> 49 0.6757350 3.0982183
#> 50 0.6807172 3.0982183
#> 51 0.6856994 3.0982183
#> 52 0.6906815 3.0982182
#> 53 0.6956637 3.0982182
#> 54 0.7006459 3.0982182
#> 55 0.7056281 3.0982181
#> 56 0.7106103 3.0982180
#> 57 0.7155925 3.0982178
#> 58 0.7205747 3.0982174
#> 59 0.7255568 3.0982167
#> 60 0.7305390 3.0982157
#> 61 0.7355212 3.0982142
#> 62 0.7405034 3.0982120
#> 63 0.7454856 3.0982091
#> 64 0.7504678 3.0982054
#> 65 0.7554500 3.0982008
#> 66 0.7604322 3.0981954
#> 67 0.7654143 3.0981893
#> 68 0.7703965 3.0981826
#> 69 0.7753787 3.0981754
#> 70 0.7803609 3.0981676
#> 71 0.7853431 3.0981589
#> 72 0.7903253 3.0981484
#> 73 0.7953075 3.0981349
#> 74 0.8002896 3.0981167
#> 75 0.8052718 3.0980913
#> 76 0.8102540 3.0980564
#> 77 0.8152362 3.0980093
#> 78 0.8202184 3.0979482
#> 79 0.8252006 3.0978721
#> 80 0.8301828 3.0977814
#> 81 0.8351650 3.0976782
#> 82 0.8401471 3.0975662
#> 83 0.8451293 3.0974500
#> 84 0.8501115 3.0973350
#> 85 0.8550937 3.0972262
#> 86 0.8600759 3.0971275
#> 87 0.8650581 3.0970409
#> 88 0.8700403 3.0969665
#> 89 0.8750224 3.0969022
#> 90 0.8800046 3.0968441
#> 91 0.8849868 3.0967866
#> 92 0.8899690 3.0967232
#> 93 0.8949512 3.0966469
#> 94 0.8999334 3.0965508
#> 95 0.9049156 3.0964288
#> 96 0.9098978 3.0962765
#> 97 0.9148799 3.0960911
#> 98 0.9155740 3.0960606
#> 99 0.9198621 3.0958782
#> 100 0.9248443 3.0956354
#> 101 0.9298265 3.0953653
#> 102 0.9348087 3.0950730
#> 103 0.9397909 3.0947643
#> 104 0.9447731 3.0944457
#> 105 0.9497553 3.0941232
#> 106 0.9547374 3.0938029
#> 107 0.9597196 3.0934901
#> 108 0.9647018 3.0931897
#> 109 0.9696840 3.0929060
#> 110 0.9701114 3.0928834
#> 111 0.9746662 3.0926506
#> 112 0.9796484 3.0924171
#> 113 0.9846306 3.0922046
#> 114 0.9896127 3.0920109
#> 115 0.9945949 3.0918316
#> 116 0.9995771 3.0916606
#> 117 1.0045593 3.0914905
#> 118 1.0095415 3.0913141
#> 119 1.0145237 3.0911259
#> 120 1.0195059 3.0909226
#> 121 1.0244881 3.0907042
#> 122 1.0294702 3.0904738
#> 123 1.0344524 3.0902369
#> 124 1.0394346 3.0900000
#> 125 1.0444168 3.0897693
#> 126 1.0458422 3.0897062
#> 127 1.0493990 3.0895544
#> 128 1.0543812 3.0893530
#> 129 1.0593634 3.0891614
#> 130 1.0643455 3.0889756
#> 131 1.0693277 3.0887901
#> 132 1.0743099 3.0885995
#> 133 1.0792921 3.0883993
#> 134 1.0842743 3.0881868
#> 135 1.0892565 3.0879611
#> 136 1.0942387 3.0877235
#> 137 1.0992209 3.0874760
#> 138 1.1042030 3.0872212
#> 139 1.1091852 3.0869616
#> 140 1.1141674 3.0866988
#> 141 1.1173591 3.0865290
#> 142 1.1191496 3.0864370
#> 143 1.1241318 3.0861792
#> 144 1.1291140 3.0859199
#> 145 1.1340962 3.0856590
#> 146 1.1390783 3.0853962
#> 147 1.1440605 3.0851309
#> 148 1.1490427 3.0848612
#> 149 1.1540249 3.0845838
#> 150 1.1590071 3.0842933
#> 151 1.1639893 3.0839829
#> 152 1.1689715 3.0836442
#> 153 1.1728560 3.0833517
#> 154 1.1739537 3.0832715
#> 155 1.1789358 3.0828656
#> 156 1.1839180 3.0824114
#> 157 1.1889002 3.0819062
#> 158 1.1938824 3.0813498
#> 159 1.1988646 3.0807439
#> 160 1.2032123 3.0801745
#> 161 1.2038468 3.0800936
#> 162 1.2088290 3.0794170
#> 163 1.2138111 3.0786980
#> 164 1.2187933 3.0779355
#> 165 1.2237755 3.0771262
#> 166 1.2245256 3.0769973
#> 167 1.2287577 3.0762858
#> 168 1.2337399 3.0753943
#> 169 1.2387221 3.0744437
#> 170 1.2417971 3.0738201
#> 171 1.2437043 3.0734402
#> 172 1.2486865 3.0723896
#> 173 1.2536686 3.0712776
#> 174 1.2563802 3.0706428
#> 175 1.2586508 3.0701187
#> 176 1.2636330 3.0689221
#> 177 1.2686152 3.0676822
#> 178 1.2694686 3.0674656
#> 179 1.2735974 3.0664276
#> 180 1.2785796 3.0651542
#> 181 1.2819440 3.0642884
#> 182 1.2835618 3.0638740
#> 183 1.2885439 3.0626012
#> 184 1.2935261 3.0613288
#> 185 1.2943862 3.0611112
#> 186 1.2985083 3.0600680
#> 187 1.3034905 3.0588066
#> 188 1.3069204 3.0579339
#> 189 1.3084727 3.0575376
#> 190 1.3134549 3.0562527
#> 191 1.3184371 3.0549335
#> 192 1.3190865 3.0547567
#> 193 1.3234193 3.0535706
#> 194 1.3284014 3.0521474
#> 195 1.3303028 3.0515795
#> 196 1.3333836 3.0506525
#> 197 1.3383658 3.0490755
#> 198 1.3403875 3.0484023
#> 199 1.3433480 3.0474071
#> 200 1.3483302 3.0456420
#> 201 1.3494528 3.0452250
#> 202 1.3533124 3.0437753
#> 203 1.3576983 3.0420478
#> 204 1.3582946 3.0418101
#> 205 1.3632767 3.0397493
#> 206 1.3653345 3.0388706
#> 207 1.3682589 3.0376059
#> 208 1.3725805 3.0356934
#> 209 1.3732411 3.0353974
#> 210 1.3782233 3.0331436
#> 211 1.3796088 3.0325161
#> 212 1.3832055 3.0308701
#> 213 1.3865779 3.0293389
#> 214 1.3881877 3.0286015
#> 215 1.3931699 3.0263591
#> 216 1.3936198 3.0261617
#> 217 1.3981521 3.0241600
#> 218 1.4008868 3.0229845
#> 219 1.4031342 3.0220136
#> 220 1.4081164 3.0199227
#> 221 1.4084000 3.0198072
#> 222 1.4130986 3.0178870
#> 223 1.4162510 3.0166300
#> 224 1.4180808 3.0158982
#> 225 1.4230630 3.0139498
#> 226 1.4243583 3.0134528
#> 227 1.4280452 3.0120339
#> 228 1.4326778 3.0102755
#> 229 1.4330274 3.0101423
#> 230 1.4380095 3.0082697
#> 231 1.4411544 3.0070983
#> 232 1.4429917 3.0064095
#> 233 1.4479739 3.0045572
#> 234 1.4496983 3.0039211
#> 235 1.4529561 3.0027066
#> 236 1.4579383 3.0008556
#> 237 1.4582414 3.0007439
#> 238 1.4629205 2.9989922
#> 239 1.4667244 2.9975666
#> 240 1.4679027 2.9971167
#> 241 1.4728849 2.9952132
#> 242 1.4750252 2.9943894
#> 243 1.4778670 2.9932707
#> 244 1.4828492 2.9912745
#> 245 1.4830016 2.9912122
#> 246 1.4878314 2.9891878
#> 247 1.4904778 2.9880350
#> 248 1.4928136 2.9869918
#> 249 1.4973655 2.9848577
#> 250 1.4977958 2.9846510
#> 251 1.5027780 2.9821221
#> 252 1.5035952 2.9816805
#> 253 1.5077602 2.9793761
#> 254 1.5092389 2.9785033
#> 255 1.5127423 2.9763884
#> 256 1.5143973 2.9753261
#> 257 1.5177245 2.9731445
#> 258 1.5191625 2.9721488
#> 259 1.5227067 2.9696459
#> 260 1.5236201 2.9689716
#> 261 1.5276889 2.9659119
#> 262 1.5278403 2.9657944
#> 263 1.5318693 2.9626172
#> 264 1.5326711 2.9619752
#> 265 1.5357784 2.9594399
#> 266 1.5376533 2.9578879
#> 267 1.5396067 2.9562627
#> 268 1.5426355 2.9537086
#> 269 1.5433810 2.9530855
#> 270 1.5471403 2.9499083
#> 271 1.5476177 2.9495015
#> 272 1.5509412 2.9467310
#> 273 1.5525998 2.9453363
#> 274 1.5547966 2.9435538
#> 275 1.5575820 2.9412789
#> 276 1.5587421 2.9403766
#> 277 1.5625642 2.9373927
#> 278 1.5628274 2.9371994
#> 279 1.5671564 2.9340221
#> 280 1.5675464 2.9337369
#> 281 1.5717895 2.9308449
#> 282 1.5725286 2.9303443
#> 283 1.5767960 2.9276677
#> 284 1.5775108 2.9272237
#> 285 1.5822633 2.9244905
#> 286 1.5824930 2.9243600
#> 287 1.5874751 2.9217238
#> 288 1.5882940 2.9213132
#> 289 1.5924573 2.9192542
#> 290 1.5947830 2.9181360
#> 291 1.5974395 2.9168756
#> 292 1.6014731 2.9149588
#> 293 1.6024217 2.9145133
#> 294 1.6074039 2.9121066
#> 295 1.6080452 2.9117816
#> 296 1.6123861 2.9095989
#> 297 1.6142429 2.9086043
#> 298 1.6173683 2.9069394
#> 299 1.6200280 2.9054271
#> 300 1.6223505 2.9041107
#> 301 1.6254456 2.9022499
#> 302 1.6273326 2.9011169
#> 303 1.6305799 2.8990726
#> 304 1.6323148 2.8979804
#> 305 1.6355182 2.8958954
#> 306 1.6372970 2.8947363
#> 307 1.6403350 2.8927182
#> 308 1.6422792 2.8914240
#> 309 1.6450872 2.8895410
#> 310 1.6472614 2.8880787
#> 311 1.6498135 2.8863637
#> 312 1.6522436 2.8847245
#> 313 1.6545346 2.8831865
#> 314 1.6572258 2.8813714
#> 315 1.6592533 2.8800093
#> 316 1.6622079 2.8780141
#> 317 1.6639563 2.8768321
#> 318 1.6671901 2.8746345
#> 319 1.6686184 2.8736548
#> 320 1.6721723 2.8712061
#> 321 1.6732100 2.8704776
#> 322 1.6771545 2.8676993
#> 323 1.6777056 2.8673004
#> 324 1.6820882 2.8641232
#> 325 1.6821367 2.8640881
#> 326 1.6863375 2.8609459
#> 327 1.6871189 2.8603629
#> 328 1.6904725 2.8577687
#> 329 1.6921011 2.8565144
#> 330 1.6945113 2.8545915
#> 331 1.6970833 2.8525517
#> 332 1.6984736 2.8514143
#> 333 1.7020654 2.8484964
#> 334 1.7023771 2.8482370
#> 335 1.7062332 2.8450598
#> 336 1.7070476 2.8443944
#> 337 1.7100741 2.8418826
#> 338 1.7120298 2.8402696
#> 339 1.7139148 2.8387054
#> 340 1.7170120 2.8361458
#> 341 1.7177619 2.8355281
#> 342 1.7216286 2.8323509
#> 343 1.7219942 2.8320506
#> 344 1.7255382 2.8291737
#> 345 1.7269764 2.8279992
#> 346 1.7294774 2.8259965
#> 347 1.7319586 2.8239891
#> 348 1.7334432 2.8228192
#> 349 1.7369408 2.8200234
#> 350 1.7374333 2.8196420
#> 351 1.7414693 2.8164648
#> 352 1.7419229 2.8161007
#> 353 1.7455550 2.8132876
#> 354 1.7469051 2.8122175
#> 355 1.7496662 2.8101103
#> 356 1.7518873 2.8083739
#> 357 1.7538021 2.8069331
#> 358 1.7568695 2.8045686
#> 359 1.7579632 2.8037559
#> 360 1.7618517 2.8007985
#> 361 1.7621504 2.8005786
#> 362 1.7663818 2.7974014
#> 363 1.7668339 2.7970555
#> 364 1.7706368 2.7942242
#> 365 1.7718161 2.7933312
#> 366 1.7748926 2.7910470
#> 367 1.7767982 2.7896123
#> 368 1.7791373 2.7878697
#> 369 1.7817804 2.7858796
#> 370 1.7833574 2.7846925
#> 371 1.7867626 2.7821105
#> 372 1.7875396 2.7815153
#> 373 1.7916716 2.7783381
#> 374 1.7917448 2.7782818
#> 375 1.7957280 2.7751608
#> 376 1.7967270 2.7743798
#> 377 1.7997087 2.7719836
#> 378 1.8017092 2.7703848
#> 379 1.8036199 2.7688064
#> 380 1.8066914 2.7662910
#> 381 1.8074713 2.7656292
#> 382 1.8112613 2.7624519
#> 383 1.8116736 2.7621111
#> 384 1.8149901 2.7592747
#> 385 1.8166557 2.7578702
#> 386 1.8186959 2.7560975
#> 387 1.8216379 2.7535775
#> 388 1.8223872 2.7529203
#> 389 1.8260594 2.7497430
#> 390 1.8266201 2.7492634
#> 391 1.8297243 2.7465658
#> 392 1.8316023 2.7449453
#> 393 1.8333938 2.7433886
#> 394 1.8365845 2.7406218
#> 395 1.8370589 2.7402114
#> 396 1.8407210 2.7370341
#> 397 1.8415667 2.7362942
#> 398 1.8443797 2.7338569
#> 399 1.8465489 2.7319462
#> 400 1.8480118 2.7306797
#> 401 1.8515310 2.7275586
#> 402 1.8515958 2.7275025
#> 403 1.8551632 2.7243252
#> 404 1.8565132 2.7230801
#> 405 1.8586567 2.7211480
#> 406 1.8614954 2.7184820
#> 407 1.8620518 2.7179708
#> 408 1.8653742 2.7147936
#> 409 1.8664776 2.7136927
#> 410 1.8685928 2.7116163
#> 411 1.8714598 2.7086687
#> 412 1.8716856 2.7084391
#> 413 1.8747065 2.7052619
#> 414 1.8764420 2.7033652
#> 415 1.8776211 2.7020847
#> 416 1.8804661 2.6989074
#> 417 1.8814242 2.6978164
#> 418 1.8832663 2.6957302
#> 419 1.8860261 2.6925530
#> 420 1.8864064 2.6921152
#> 421 1.8888085 2.6893757
#> 422 1.8913885 2.6864265
#> 423 1.8915911 2.6861985
#> 424 1.8944616 2.6830213
#> 425 1.8963707 2.6809348
#> 426 1.8973948 2.6798441
#> 427 1.9004463 2.6766668
#> 428 1.9013529 2.6757466
#> 429 1.9036595 2.6734896
#> 430 1.9063351 2.6709384
#> 431 1.9070220 2.6703124
#> 432 1.9106169 2.6671352
#> 433 1.9113173 2.6665347
#> 434 1.9144820 2.6639579
#> 435 1.9162995 2.6625204
#> 436 1.9186196 2.6607807
#> 437 1.9212817 2.6588400
#> 438 1.9230648 2.6576035
#> 439 1.9262638 2.6554423
#> 440 1.9278312 2.6544263
#> 441 1.9312460 2.6522627
#> 442 1.9328913 2.6512490
#> 443 1.9362282 2.6492309
#> 444 1.9381671 2.6480718
#> 445 1.9412104 2.6462770
#> 446 1.9435423 2.6448946
#> 447 1.9461926 2.6433360
#> 448 1.9488899 2.6417174
#> 449 1.9511748 2.6403495
#> 450 1.9541024 2.6385401
#> 451 1.9561570 2.6372664
#> 452 1.9591075 2.6353629
#> 453 1.9611392 2.6340412
#> 454 1.9638677 2.6321857
#> 455 1.9661213 2.6306327
#> 456 1.9683716 2.6290085
#> 457 1.9711035 2.6270019
#> 458 1.9726246 2.6258312
#> 459 1.9760857 2.6231110
#> 460 1.9766412 2.6226540
#> 461 1.9804242 2.6194768
#> 462 1.9810679 2.6189232
#> 463 1.9839942 2.6162996
#> 464 1.9860501 2.6144035
#> 465 1.9873885 2.6131223
#> 466 1.9906186 2.6099451
#> 467 1.9910323 2.6095283
#> 468 1.9936932 2.6067679
#> 469 1.9960145 2.6042862
#> 470 1.9966516 2.6035907
#> 471 1.9994974 2.6004134
#> 472 2.0009966 2.5986948
#> 473 2.0022570 2.5972362
#> 474 2.0049380 2.5940590
#> 475 2.0059788 2.5927974
#> 476 2.0075624 2.5908817
#> 477 2.0101258 2.5877045
#> 478 2.0109610 2.5866472
#> 479 2.0126561 2.5845273
#> 480 2.0151308 2.5813501
#> 481 2.0159432 2.5802830
#> 482 2.0175812 2.5781728
#> 483 2.0199751 2.5749956
#> 484 2.0209254 2.5736991
#> 485 2.0223351 2.5718184
#> 486 2.0246372 2.5686412
#> 487 2.0259076 2.5668250
#> 488 2.0268796 2.5654639
#> 489 2.0290684 2.5622867
#> 490 2.0308898 2.5595203
#> 491 2.0311643 2.5591095
#> 492 2.0332176 2.5559323
#> 493 2.0351697 2.5527550
#> 494 2.0358720 2.5515667
#> 495 2.0370546 2.5495778
#> 496 2.0388635 2.5464006
#> 497 2.0405843 2.5432234
#> 498 2.0408541 2.5427078
#> 499 2.0422447 2.5400461
#> 500 2.0438320 2.5368689
#> 501 2.0453466 2.5336917
#> 502 2.0458363 2.5326274
#> 503 2.0468000 2.5305145
#> 504 2.0481930 2.5273372
#> 505 2.0495247 2.5241600
#> 506 2.0507974 2.5209828
#> 507 2.0508185 2.5209282
#> 508 2.0520135 2.5178056
#> 509 2.0531748 2.5146283
#> 510 2.0542821 2.5114511
#> 511 2.0553365 2.5082739
#> 512 2.0558007 2.5068120
#> 513 2.0563364 2.5050967
#> 514 2.0572848 2.5019194
#> 515 2.0581857 2.4987422
#> 516 2.0590415 2.4955650
#> 517 2.0598551 2.4923878
#> 518 2.0606299 2.4892105
#> 519 2.0607829 2.4885586
#> 520 2.0613648 2.4860333
#> 521 2.0620686 2.4828561
#> 522 2.0627467 2.4796788
#> 523 2.0634035 2.4765016
#> 524 2.0640431 2.4733244
#> 525 2.0646690 2.4701472
#> 526 2.0652844 2.4669699
#> 527 2.0657651 2.4644595
#> 528 2.0658905 2.4637927
#> 529 2.0664860 2.4606155
#> 530 2.0670765 2.4574383
#> 531 2.0676620 2.4542610
#> 532 2.0682420 2.4510838
#> 533 2.0688153 2.4479066
#> 534 2.0693803 2.4447294
#> 535 2.0699353 2.4415521
#> 536 2.0704785 2.4383749
#> 537 2.0707473 2.4367665
#> 538 2.0710065 2.4351977
#> 539 2.0715187 2.4320205
#> 540 2.0720159 2.4288432
#> 541 2.0724976 2.4256660
#> 542 2.0729640 2.4224888
#> 543 2.0734158 2.4193116
#> 544 2.0738539 2.4161343
#> 545 2.0742801 2.4129571
#> 546 2.0746959 2.4097799
#> 547 2.0751033 2.4066027
#> 548 2.0755038 2.4034254
#> 549 2.0757294 2.4016129
#> 550 2.0758981 2.4002482
#> 551 2.0762869 2.3970710
#> 552 2.0766718 2.3938938
#> 553 2.0770526 2.3907165
#> 554 2.0774289 2.3875393
#> 555 2.0777999 2.3843621
#> 556 2.0781643 2.3811848
#> 557 2.0785211 2.3780076
#> 558 2.0788692 2.3748304
#> 559 2.0792077 2.3716532
#> 560 2.0795362 2.3684759
#> 561 2.0798547 2.3652987
#> 562 2.0801637 2.3621215
#> 563 2.0804642 2.3589443
#> 564 2.0807116 2.3562652
#> 565 2.0807572 2.3557670
#> 566 2.0810430 2.3525898
#> 567 2.0813246 2.3494126
#> 568 2.0816036 2.3462354
#> 569 2.0818812 2.3430581
#> 570 2.0821584 2.3398809
#> 571 2.0824358 2.3367037
#> 572 2.0827138 2.3335265
#> 573 2.0829922 2.3303492
#> 574 2.0832707 2.3271720
#> 575 2.0835485 2.3239948
#> 576 2.0838250 2.3208176
#> 577 2.0840993 2.3176403
#> 578 2.0843707 2.3144631
#> 579 2.0846385 2.3112859
#> 580 2.0849022 2.3081087
#> 581 2.0851613 2.3049314
#> 582 2.0854158 2.3017542
#> 583 2.0856655 2.2985770
#> 584 2.0856938 2.2982096
#> 585 2.0859101 2.2953998
#> 586 2.0861501 2.2922225
#> 587 2.0863857 2.2890453
#> 588 2.0866172 2.2858681
#> 589 2.0868448 2.2826909
#> 590 2.0870688 2.2795136
#> 591 2.0872895 2.2763364
#> 592 2.0875073 2.2731592
#> 593 2.0877225 2.2699819
#> 594 2.0879354 2.2668047
#> 595 2.0881466 2.2636275
#> 596 2.0883563 2.2604503
#> 597 2.0885649 2.2572730
#> 598 2.0887729 2.2540958
#> 599 2.0889804 2.2509186
#> 600 2.0891875 2.2477414
#> 601 2.0893942 2.2445641
#> 602 2.0896004 2.2413869
#> 603 2.0898057 2.2382097
#> 604 2.0900095 2.2350325
#> 605 2.0902113 2.2318552
#> 606 2.0904104 2.2286780
#> 607 2.0906060 2.2255008
#> 608 2.0906760 2.2243401
#> 609 2.0907976 2.2223236
#> 610 2.0909846 2.2191463
#> 611 2.0911666 2.2159691
#> 612 2.0913432 2.2127919
#> 613 2.0915148 2.2096147
#> 614 2.0916816 2.2064374
#> 615 2.0918445 2.2032602
#> 616 2.0920045 2.2000830
#> 617 2.0921629 2.1969058
#> 618 2.0923214 2.1937285
#> 619 2.0924820 2.1905513
#> 620 2.0926465 2.1873741
#> 621 2.0928173 2.1841969
#> 622 2.0929964 2.1810196
#> 623 2.0931858 2.1778424
#> 624 2.0933876 2.1746652
#> 625 2.0936032 2.1714879
#> 626 2.0938337 2.1683107
#> 627 2.0940799 2.1651335
#> 628 2.0943418 2.1619563
#> 629 2.0946190 2.1587790
#> 630 2.0949102 2.1556018
#> 631 2.0952139 2.1524246
#> 632 2.0955277 2.1492474
#> 633 2.0956582 2.1479610
#> 634 2.0958504 2.1460701
#> 635 2.0961788 2.1428929
#> 636 2.0965090 2.1397157
#> 637 2.0968380 2.1365385
#> 638 2.0971631 2.1333612
#> 639 2.0974818 2.1301840
#> 640 2.0977921 2.1270068
#> 641 2.0980923 2.1238296
#> 642 2.0983815 2.1206523
#> 643 2.0986589 2.1174751
#> 644 2.0989246 2.1142979
#> 645 2.0991788 2.1111207
#> 646 2.0994222 2.1079434
#> 647 2.0996556 2.1047662
#> 648 2.0998801 2.1015890
#> 649 2.1000969 2.0984118
#> 650 2.1003071 2.0952345
#> 651 2.1005117 2.0920573
#> 652 2.1006404 2.0900153
#> 653 2.1007127 2.0888801
#> 654 2.1009118 2.0857029
#> 655 2.1011078 2.0825256
#> 656 2.1013015 2.0793484
#> 657 2.1014931 2.0761712
#> 658 2.1016832 2.0729940
#> 659 2.1018720 2.0698167
#> 660 2.1020596 2.0666395
#> 661 2.1022462 2.0634623
#> 662 2.1024320 2.0602850
#> 663 2.1026170 2.0571078
#> 664 2.1028012 2.0539306
#> 665 2.1029845 2.0507534
#> 666 2.1031670 2.0475761
#> 667 2.1033485 2.0443989
#> 668 2.1035287 2.0412217
#> 669 2.1037076 2.0380445
#> 670 2.1038848 2.0348672
#> 671 2.1040602 2.0316900
#> 672 2.1042336 2.0285128
#> 673 2.1044051 2.0253356
#> 674 2.1045749 2.0221583
#> 675 2.1047433 2.0189811
#> 676 2.1049109 2.0158039
#> 677 2.1050785 2.0126267
#> 678 2.1052471 2.0094494
#> 679 2.1054176 2.0062722
#> 680 2.1055915 2.0030950
#> 681 2.1056226 2.0025416
#> 682 2.1057729 1.9999178
#> 683 2.1059608 1.9967405
#> 684 2.1061558 1.9935633
#> 685 2.1063587 1.9903861
#> 686 2.1065704 1.9872089
#> 687 2.1067914 1.9840316
#> 688 2.1070220 1.9808544
#> 689 2.1072623 1.9776772
#> 690 2.1075119 1.9745000
#> 691 2.1077704 1.9713227
#> 692 2.1080373 1.9681455
#> 693 2.1083115 1.9649683
#> 694 2.1085922 1.9617910
#> 695 2.1088782 1.9586138
#> 696 2.1091683 1.9554366
#> 697 2.1094612 1.9522594
#> 698 2.1097555 1.9490821
#> 699 2.1100498 1.9459049
#> 700 2.1103428 1.9427277
#> 701 2.1106048 1.9398609
#> 702 2.1106338 1.9395505
#> 703 2.1109277 1.9363732
#> 704 2.1112162 1.9331960
#> 705 2.1114982 1.9300188
#> 706 2.1117725 1.9268416
#> 707 2.1120381 1.9236643
#> 708 2.1122941 1.9204871
#> 709 2.1125396 1.9173099
#> 710 2.1127741 1.9141327
#> 711 2.1129969 1.9109554
#> 712 2.1132074 1.9077782
#> 713 2.1134052 1.9046010
#> 714 2.1135900 1.9014238
#> 715 2.1137615 1.8982465
#> 716 2.1139196 1.8950693
#> 717 2.1140641 1.8918921
#> 718 2.1141952 1.8887149
#> 719 2.1143131 1.8855376
#> 720 2.1144180 1.8823604
#> 721 2.1145105 1.8791832
#> 722 2.1145912 1.8760060
#> 723 2.1146607 1.8728287
#> 724 2.1147200 1.8696515
#> 725 2.1147699 1.8664743
#> 726 2.1148113 1.8632971
#> 727 2.1148453 1.8601198
#> 728 2.1148729 1.8569426
#> 729 2.1148949 1.8537654
#> 730 2.1149122 1.8505881
#> 731 2.1149257 1.8474109
#> 732 2.1149360 1.8442337
#> 733 2.1149437 1.8410565
#> 734 2.1149495 1.8378792
#> 735 2.1149537 1.8347020
#> 736 2.1149568 1.8315248
#> 737 2.1149590 1.8283476
#> 738 2.1149605 1.8251703
#> 739 2.1149616 1.8219931
#> 740 2.1149623 1.8188159
#> 741 2.1149628 1.8156387
#> 742 2.1149631 1.8124614
#> 743 2.1149633 1.8092842
#> 744 2.1149634 1.8061070
#> 745 2.1149635 1.8029298
#> 746 2.1149636 1.7997525
#> 747 2.1149636 1.7965753
#> 748 2.1149636 1.7933981
#> 749 2.1149636 1.7902209
#> 750 2.1149636 1.7870436
#> 751 2.1149636 1.7838664
#> 752 2.1149636 1.7806892
#> 753 2.1149636 1.7775120
#> 754 2.1149636 1.7743347
#> 755 2.1149636 1.7711575
#> 756 2.1149636 1.7679803
#> 757 2.1149636 1.7648031
#> 758 2.1149636 1.7616258
#> 759 2.1149636 1.7584486
#> 760 2.1149636 1.7552714
#> 761 2.1149636 1.7520941
#> 762 2.1149636 1.7489169
#> 763 2.1149636 1.7457397
#> 764 2.1149636 1.7425625
#> 765 2.1149636 1.7393852
#> 766 2.1149636 1.7362080
#> 767 2.1149636 1.7330308
#> 768 2.1149636 1.7298536
#> 769 2.1149636 1.7266763
#> 770 2.1149636 1.7234991
#> 771 2.1149636 1.7203219
#> 772 2.1149636 1.7171447
#> 773 2.1149636 1.7139674
#> 774 2.1149636 1.7107902
#> 775 2.1149636 1.7076130
#> 776 2.1149636 1.7044358
#> 777 2.1149636 1.7012585
#> 778 2.1149636 1.6980813
#> 779 2.1149636 1.6949041
#> 780 2.1149636 1.6917269
#> 781 2.1149636 1.6885496
#> 782 2.1149636 1.6853724
#> 783 2.1149636 1.6821952
#> 784 2.1149636 1.6790180
#> 785 2.1149636 1.6758407
#> 786 2.1149636 1.6726635
#> 787 2.1149636 1.6694863
#> 788 2.1149636 1.6663091
#> 789 2.1149636 1.6631318
#> 790 2.1149636 1.6599546
#> 791 2.1149636 1.6567774
#> 792 2.1149636 1.6536002
#> 793 2.1149636 1.6504229
#> 794 2.1149636 1.6472457
#> 795 2.1149636 1.6440685
#> 796 2.1149636 1.6408912
#> 797 2.1149636 1.6377140
#> 798 2.1149636 1.6345368
#> 799 2.1149636 1.6313596
#> 800 2.1149636 1.6281823
#> 801 2.1149636 1.6250051
#> 802 2.1149636 1.6218279
#> 803 2.1149636 1.6186507
#> 804 2.1149636 1.6154734
#> 805 2.1149636 1.6122962
#> 806 2.1149636 1.6091190
#> 807 2.1149636 1.6059418
#> 808 2.1149636 1.6027645
#> 809 2.1149636 1.5995873
#> 810 2.1149636 1.5964101
#> 811 2.1149636 1.5932329
#> 812 2.1149636 1.5900556
#> 813 2.1149636 1.5868784
#> 814 2.1149636 1.5837012
#> 815 2.1149636 1.5805240
#> 816 2.1149636 1.5773467
#> 817 2.1149636 1.5741695
#> 818 2.1149636 1.5709923
#> 819 2.1149636 1.5678151
#> 820 2.1149636 1.5646378
#> 821 2.1149636 1.5614606
#> 822 2.1149636 1.5582834
#> 823 2.1149636 1.5551062
#> 824 2.1149636 1.5519289
#> 825 2.1149636 1.5487517
#> 826 2.1149636 1.5455745
#> 827 2.1149636 1.5423972
#> 828 2.1149636 1.5392200
#> 829 2.1149636 1.5360428
#> 830 2.1149636 1.5328656
#> 831 2.1149636 1.5296883
#> 832 2.1149636 1.5265111
#> 833 2.1149636 1.5233339
#> 834 2.1149636 1.5201567
#> 835 2.1149636 1.5169794
#> 836 2.1149636 1.5138022
#> 837 2.1149636 1.5106250
#> 838 2.1149636 1.5074478
#> 839 2.1149636 1.5042705
#> 840 2.1149636 1.5010933
#> 841 2.1149636 1.4979161
#> 842 2.1149636 1.4947389
#> 843 2.1149636 1.4915616
#> 844 2.1149636 1.4883844
#> 845 2.1149636 1.4852072
#> 846 2.1149636 1.4820300
#> 847 2.1149636 1.4788527
#> 848 2.1149636 1.4756755
#> 849 2.1149636 1.4724983
#> 850 2.1149636 1.4693211
#> 851 2.1149636 1.4661438
#> 852 2.1149636 1.4629666
#> 853 2.1149636 1.4597894
#> 854 2.1149636 1.4566122
#> 855 2.1149636 1.4534349
#> 856 2.1149636 1.4502577
#> 857 2.1149636 1.4470805
#> 858 2.1149636 1.4439033
#> 859 2.1149636 1.4407260
#> 860 2.1149636 1.4375488
#> 861 2.1149636 1.4343716
#> 862 2.1149636 1.4311943
#> 863 2.1149636 1.4280171
#> 864 2.1149636 1.4248399
#> 865 2.1149636 1.4216627
#> 866 2.1149636 1.4184854
#> 867 2.1149636 1.4153082
#> 868 2.1149636 1.4121310
#> 869 2.1149636 1.4089538
#> 870 2.1149636 1.4057765
#> 871 2.1149636 1.4025993
#> 872 2.1149636 1.3994221
#> 873 2.1149636 1.3962449
#> 874 2.1149636 1.3930676
#> 875 2.1149636 1.3898904
#> 876 2.1149636 1.3867132
#> 877 2.1149636 1.3835360
#> 878 2.1149636 1.3803587
#> 879 2.1149636 1.3771815
#> 880 2.1149636 1.3740043
#> 881 2.1149636 1.3708271
#> 882 2.1149636 1.3676498
#> 883 2.1149636 1.3644726
#> 884 2.1149636 1.3612954
#> 885 2.1149636 1.3581182
#> 886 2.1149636 1.3549409
#> 887 2.1149636 1.3517637
#> 888 2.1149636 1.3485865
#> 889 2.1149636 1.3454093
#> 890 2.1149636 1.3422320
#> 891 2.1149636 1.3390548
#> 892 2.1149636 1.3358776
#> 893 2.1149636 1.3327003
#> 894 2.1149636 1.3295231
#> 895 2.1149636 1.3263459
#> 896 2.1149636 1.3231687
#> 897 2.1149636 1.3199914
#> 898 2.1149636 1.3168142
#> 899 2.1149636 1.3136370
#> 900 2.1149636 1.3104598
#> 901 2.1149636 1.3072825
#> 902 2.1149636 1.3041053
#> 903 2.1149636 1.3009281
#> 904 2.1149636 1.2977509
#> 905 2.1149636 1.2945736
#> 906 2.1149636 1.2913964
#> 907 2.1149636 1.2882192
#> 908 2.1149636 1.2850420
#> 909 2.1149636 1.2818647
#> 910 2.1149636 1.2786875
#> 911 2.1149636 1.2755103
#> 912 2.1149636 1.2723331
#> 913 2.1149636 1.2691558
#> 914 2.1149636 1.2659786
#> 915 2.1149636 1.2628014
#> 916 2.1149636 1.2596242
#> 917 2.1149636 1.2564469
#> 918 2.1149636 1.2532697
#> 919 2.1149636 1.2500925
#> 920 2.1149636 1.2469153
#> 921 2.1149636 1.2437380
#> 922 2.1149636 1.2405608
#> 923 2.1149636 1.2373836
#> 924 2.1149636 1.2342064
#> 925 2.1149636 1.2310291
#> 926 2.1149636 1.2278519
#> 927 2.1149636 1.2246747
#> 928 2.1149636 1.2214974
#> 929 2.1149636 1.2183202
#> 930 2.1149636 1.2151430
#> 931 2.1149636 1.2119658
#> 932 2.1149636 1.2087885
#> 933 2.1149636 1.2056113
#> 934 2.1149636 1.2024341
#> 935 2.1149636 1.1992569
#> 936 2.1149636 1.1960796
#> 937 2.1149636 1.1929024
#> 938 2.1149636 1.1897252
#> 939 2.1149636 1.1865480
#> 940 2.1149636 1.1833707
#> 941 2.1149636 1.1801935
#> 942 2.1149636 1.1770163
#> 943 2.1149636 1.1738391
#> 944 2.1149636 1.1706618
#> 945 2.1149636 1.1674846
#> 946 2.1149636 1.1643074
#> 947 2.1149636 1.1611302
#> 948 2.1149636 1.1579529
#> 949 2.1149636 1.1547757
#> 950 2.1149636 1.1515985
#> 951 2.1149636 1.1484213
#> 952 2.1149636 1.1452440
#> 953 2.1149636 1.1420668
#> 954 2.1149636 1.1388896
#> 955 2.1149636 1.1357124
#> 956 2.1149636 1.1325351
#> 957 2.1149636 1.1293579
#> 958 2.1149636 1.1261807
#> 959 2.1149636 1.1230034
#> 960 2.1149636 1.1198262
#> 961 2.1149636 1.1166490
#> 962 2.1149636 1.1134718
#> 963 2.1149636 1.1102945
#> 964 2.1149636 1.1071173
#> 965 2.1149636 1.1039401
#> 966 2.1149636 1.1007629
#> 967 2.1149636 1.0975856
#> 968 2.1149636 1.0944084
#> 969 2.1149636 1.0912312
#> 970 2.1149636 1.0880540
#> 971 2.1149636 1.0848767
#> 972 2.1149636 1.0816995
#> 973 2.1149636 1.0785223
#> 974 2.1149636 1.0753451
#> 975 2.1149636 1.0721678
#> 976 2.1149636 1.0689906
#> 977 2.1149636 1.0658134
#> 978 2.1149636 1.0626362
#> 979 2.1149636 1.0594589
#> 980 2.1149636 1.0562817
#> 981 2.1149636 1.0531045
#> 982 2.1149636 1.0499273
#> 983 2.1149636 1.0467500
#> 984 2.1149636 1.0435728
#> 985 2.1149636 1.0403956
#> 986 2.1149636 1.0372184
#> 987 2.1149636 1.0340411
#> 988 2.1149636 1.0308639
#> 989 2.1149636 1.0276867
#> 990 2.1149636 1.0245095
#> 991 2.1149636 1.0213322
#> 992 2.1149636 1.0181550
#> 993 2.1149636 1.0149778
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#> 383 1.9503782 3.1375819
#> 384 1.9543484 3.1360054
#> 385 1.9563705 3.1344386
#> 386 1.9581607 3.1322608
#> 387 1.9610143 3.1307163
#> 388 1.9615385 3.1304085
#> 389 1.9657941 3.1279592
#> 390 1.9663340 3.1276546
#> 391 1.9696108 3.1261372
#> 392 1.9715529 3.1255326
#> 393 1.9735183 3.1237273
#> 394 1.9760802 3.1225306
#> 395 1.9766550 3.1225306
#> 396 1.9801462 3.1189727
#> 397 1.9816230 3.1175043
#> 398 1.9849189 3.1157528
#> 399 1.9873578 3.1134352
#> 400 1.9904576 3.1125712
#> 401 1.9948966 3.1102809
#> 402 1.9952182 3.1102809
#> 403 2.0001184 3.1071632
#> 404 2.0011159 3.1068816
#> 405 2.0021194 3.1060384
#> 406 2.0068830 3.1038026
#> 407 2.0068830 3.1038026
#> 408 2.0110761 3.1010336
#> 409 2.0121408 3.1002083
#> 410 2.0153759 3.0977473
#> 411 2.0185491 3.0963896
#> 412 2.0188151 3.0963896
#> 413 2.0223719 3.0947691
#> 414 2.0244148 3.0931582
#> 415 2.0258026 3.0923562
#> 416 2.0291505 3.0904938
#> 417 2.0302776 3.0891712
#> 418 2.0324447 3.0870680
#> 419 2.0356905 3.0844611
#> 420 2.0361377 3.0842017
#> 421 2.0389622 3.0818782
#> 422 2.0419951 3.0777941
#> 423 2.0422332 3.0777941
#> 424 2.0456068 3.0752712
#> 425 2.0478500 3.0742683
#> 426 2.0490531 3.0732689
#> 427 2.0526375 3.0702914
#> 428 2.0537023 3.0697982
#> 429 2.0564110 3.0668564
#> 430 2.0595523 3.0646695
#> 431 2.0603586 3.0644275
#> 432 2.0645780 3.0629800
#> 433 2.0653999 3.0627394
#> 434 2.0691132 3.0605833
#> 435 2.0712453 3.0598681
#> 436 2.0739667 3.0574968
#> 437 2.0770886 3.0565536
#> 438 2.0791794 3.0558482
#> 439 2.0829298 3.0525785
#> 440 2.0847670 3.0518825
#> 441 2.0887689 3.0507262
#> 442 2.0906967 3.0502650
#> 443 2.0946062 3.0484271
#> 444 2.0968773 3.0475123
#> 445 2.1004415 3.0459183
#> 446 2.1031721 3.0454645
#> 447 2.1062751 3.0445588
#> 448 2.1094326 3.0432054
#> 449 2.1121069 3.0425310
#> 450 2.1155330 3.0400710
#> 451 2.1179370 3.0389594
#> 452 2.1213889 3.0378519
#> 453 2.1237655 3.0363082
#> 454 2.1269568 3.0341165
#> 455 2.1295924 3.0323744
#> 456 2.1322236 3.0317236
#> 457 2.1354177 3.0304263
#> 458 2.1371960 3.0293494
#> 459 2.1412416 3.0269933
#> 460 2.1418909 3.0259283
#> 461 2.1463119 3.0233872
#> 462 2.1470640 3.0225448
#> 463 2.1504832 3.0206577
#> 464 2.1528851 3.0191978
#> 465 2.1544486 3.0179519
#> 466 2.1582216 3.0156805
#> 467 2.1587048 3.0152693
#> 468 2.1618125 3.0128132
#> 469 2.1645232 3.0117955
#> 470 2.1652672 3.0107810
#> 471 2.1685900 3.0079576
#> 472 2.1703403 3.0059562
#> 473 2.1718117 3.0053582
#> 474 2.1749413 3.0013998
#> 475 2.1761563 3.0010067
#> 476 2.1780046 2.9986577
#> 477 2.1809963 3.0932026
#> 478 2.1819710 3.0923273
#> 479 2.1839490 3.0912048
#> 480 2.1868367 3.0875781
#> 481 2.1877846 3.0870832
#> 482 2.1896957 3.0856141
#> 483 2.1924885 3.0823855
#> 484 2.1935971 3.0810273
#> 485 2.1952415 3.0799489
#> 486 2.1979267 3.0778167
#> 487 2.1994085 3.0774238
#> 488 2.2005421 3.0769140
#> 489 2.2030948 3.0768294
#> 490 2.2052188 3.0758480
#> 491 2.2055390 3.0755072
#> 492 2.2079333 3.0741746
#> 493 2.2102094 3.0721758
#> 494 2.2110282 3.0711161
#> 495 2.2124070 3.0705164
#> 496 2.2145159 3.0690825
#> 497 2.2165220 3.0685731
#> 498 2.2168366 3.0685731
#> 499 2.2184575 3.0679804
#> 500 2.2203077 3.0673485
#> 501 2.2220732 3.0666320
#> 502 2.2226440 3.0649230
#> 503 2.2237672 3.0643954
#> 504 2.2253906 3.0604024
#> 505 2.2269427 3.0595429
#> 506 2.2284258 3.0583416
#> 507 2.2284505 3.0582301
#> 508 2.2298430 3.0568810
#> 509 2.2311962 3.0552143
#> 510 2.2324866 3.0517362
#> 511 2.2337151 3.0505158
#> 512 2.2342561 3.0497829
#> 513 2.2348802 3.0490725
#> 514 2.2359852 3.0462114
#> 515 2.2370349 3.0447269
#> 516 2.2380320 3.0401368
#> 517 2.2389799 3.0383962
#> 518 2.2398825 3.0359863
#> 519 2.2400608 3.0358749
#> 520 2.2407388 3.0328566
#> 521 2.2415586 3.0307511
#> 522 2.2423486 3.0299075
#> 523 2.2431137 3.0286268
#> 524 2.2438588 3.0276612
#> 525 2.2445879 3.0260333
#> 526 2.2453048 3.0236678
#> 527 2.2458647 3.0212292
#> 528 2.2460107 3.0208907
#> 529 2.2467044 3.0194010
#> 530 2.2473922 3.0159702
#> 531 2.2480743 3.0138241
#> 532 2.2487498 3.0130487
#> 533 2.2494175 3.0109147
#> 534 2.2500756 3.0091833
#> 535 2.2507220 3.0072767
#> 536 2.2513546 3.0056959
#> 537 2.2516677 3.0036973
#> 538 2.2519697 3.0016793
#> 539 2.2525662 2.9984958
#> 540 2.2531453 2.9958541
#> 541 2.2537063 2.9941338
#> 542 2.2542495 2.9919514
#> 543 2.2547756 2.9888070
#> 544 2.2552859 2.9844714
#> 545 2.2557821 2.9840930
#> 546 2.2562664 2.9806369
#> 547 2.2567408 2.9785535
#> 548 2.2572072 2.9767855
#> 549 2.2574700 2.9740774
#> 550 2.2576664 2.9725522
#> 551 2.2581192 2.9677093
#> 552 2.2585673 2.9664737
#> 553 2.2590108 2.9627178
#> 554 2.2594490 2.9609127
#> 555 2.2598810 2.9571960
#> 556 2.2603054 2.9542488
#> 557 2.2607209 2.9499753
#> 558 2.2611261 2.9444035
#> 559 2.2615203 2.9437601
#> 560 2.2619028 2.9425113
#> 561 2.2622737 2.9402593
#> 562 2.2626335 2.9383162
#> 563 2.2629834 2.9352795
#> 564 2.2632715 2.9348451
#> 565 2.2633245 2.9346680
#> 566 2.2636573 2.9328897
#> 567 2.2639852 2.9315492
#> 568 2.2643100 2.9299786
#> 569 2.2646332 2.9276450
#> 570 2.2649560 2.9231024
#> 571 2.2652790 2.9211711
#> 572 2.2656027 2.9179894
#> 573 2.2659269 2.9157554
#> 574 2.2662511 2.9125315
#> 575 2.2665746 2.9113578
#> 576 2.2668965 2.9105624
#> 577 2.2672159 2.9084241
#> 578 2.2675318 2.9021474
#> 579 2.2678436 2.8993807
#> 580 2.2681506 2.8980428
#> 581 2.2684523 2.8968165
#> 582 2.2687485 2.8939704
#> 583 2.2690392 2.8912615
#> 584 2.2690722 2.8906288
#> 585 2.2693240 2.8897120
#> 586 2.2696034 2.8887915
#> 587 2.2698777 2.8871042
#> 588 2.2701472 2.8833625
#> 589 2.2704122 2.8815704
#> 590 2.2706730 2.8793546
#> 591 2.2709299 2.8774093
#> 592 2.2711835 2.8758414
#> 593 2.2714340 2.8748167
#> 594 2.2716819 2.8717784
#> 595 2.2719277 2.8694757
#> 596 2.2721718 2.8676701
#> 597 2.2724147 2.8634004
#> 598 2.2726568 2.8626524
#> 599 2.2728983 2.8566210
#> 600 2.2731395 2.8529309
#> 601 2.2733801 2.8500082
#> 602 2.2736202 2.8447699
#> 603 2.2738591 2.8435206
#> 604 2.2740964 2.8409778
#> 605 2.2743313 2.8366005
#> 606 2.2745630 2.8356792
#> 607 2.2747907 2.8342812
#> 608 2.2748722 2.8340721
#> 609 2.2750138 2.8337293
#> 610 2.2752315 2.8326537
#> 611 2.2754433 2.8286738
#> 612 2.2756489 2.8258611
#> 613 2.2758486 2.8248650
#> 614 2.2760429 2.8224943
#> 615 2.2762324 2.8208216
#> 616 2.2764187 2.8184065
#> 617 2.2766031 2.8144437
#> 618 2.2767876 2.8111662
#> 619 2.2769745 2.8081005
#> 620 2.2771660 2.8064411
#> 621 2.2773648 2.8047797
#> 622 2.2775732 2.8015894
#> 623 2.2777938 2.8004498
#> 624 2.2780286 2.7974958
#> 625 2.2782795 2.7940226
#> 626 2.2785479 2.7917434
#> 627 2.2788345 2.7879659
#> 628 2.2791394 2.7834761
#> 629 2.2794620 2.7800940
#> 630 2.2798010 2.7778901
#> 631 2.2801544 2.7739080
#> 632 2.2805197 2.7683462
#> 633 2.2806715 2.7664588
#> 634 2.2808953 2.7653513
#> 635 2.2812775 2.7601924
#> 636 2.2816618 2.7576080
#> 637 2.2820448 2.7539721
#> 638 2.2824232 2.7505147
#> 639 2.2827941 2.7464088
#> 640 2.2831552 2.7432832
#> 641 2.2835047 2.7393804
#> 642 2.2838412 2.7364615
#> 643 2.2841641 2.7325740
#> 644 2.2844733 2.7296011
#> 645 2.2847692 2.7269241
#> 646 2.2850524 2.7239636
#> 647 2.2853241 2.7185409
#> 648 2.2855854 2.7149685
#> 649 2.2858377 2.7119260
#> 650 2.2860823 2.7070294
#> 651 2.2863204 2.7032187
#> 652 2.2864702 2.7008613
#> 653 2.2865544 2.6982197
#> 654 2.2867860 2.6957619
#> 655 2.2870142 2.6929785
#> 656 2.2872395 2.6894006
#> 657 2.2874626 2.6869619
#> 658 2.2876838 2.6850771
#> 659 2.2879035 2.6798767
#> 660 2.2881218 2.6769427
#> 661 2.2883390 2.6744055
#> 662 2.2885552 2.6714689
#> 663 2.2887705 2.6657415
#> 664 2.2889848 2.6613790
#> 665 2.2891982 2.6573072
#> 666 2.2894106 2.6554062
#> 667 2.2896218 2.6504561
#> 668 2.2898315 2.6470683
#> 669 2.2900397 2.6417073
#> 670 2.2902459 2.6388697
#> 671 2.2904500 2.6345934
#> 672 2.2906518 2.6312698
#> 673 2.2908514 2.6281921
#> 674 2.2910490 2.6246711
#> 675 2.2912450 2.6215870
#> 676 2.2914400 2.6178455
#> 677 2.2916350 2.6138208
#> 678 2.2918311 2.6098769
#> 679 2.2920296 2.6073731
#> 680 2.2922319 2.6026578
#> 681 2.2922681 2.6015535
#> 682 2.2924430 2.6000655
#> 683 2.2926617 2.5962793
#> 684 2.2928886 2.5933413
#> 685 2.2931247 2.5901378
#> 686 2.2933711 2.5860230
#> 687 2.2936283 2.5822406
#> 688 2.2938966 2.5770110
#> 689 2.2941761 2.5758022
#> 690 2.2944666 2.5716053
#> 691 2.2947675 2.5686593
#> 692 2.2950780 2.5644928
#> 693 2.2953971 2.5610769
#> 694 2.2957237 2.5569749
#> 695 2.2960565 2.5529975
#> 696 2.2963940 2.5518461
#> 697 2.2967348 2.5477564
#> 698 2.2970772 2.5457998
#> 699 2.2974197 2.5439340
#> 700 2.2977606 2.5392088
#> 701 2.2980654 2.5367912
#> 702 2.2980993 2.5367206
#> 703 2.2984412 2.5334945
#> 704 2.2987769 2.5312967
#> 705 2.2991050 2.5286159
#> 706 2.2994241 2.5256004
#> 707 2.2997331 2.5222740
#> 708 2.3000310 2.5198681
#> 709 2.3003167 2.5161318
#> 710 2.3005895 2.5120669
#> 711 2.3008487 2.5093457
#> 712 2.3010936 2.5056549
#> 713 2.3013238 2.5027983
#> 714 2.3015388 2.4988683
#> 715 2.3017383 2.4961679
#> 716 2.3019222 2.4939340
#> 717 2.3020904 2.4913464
#> 718 2.3022429 2.4889011
#> 719 2.3023801 2.4846346
#> 720 2.3025021 2.4813133
#> 721 2.3026098 2.4764927
#> 722 2.3027036 2.4741658
#> 723 2.3027845 2.4705319
#> 724 2.3028535 2.4686523
#> 725 2.3029115 2.4657887
#> 726 2.3029597 2.4624459
#> 727 2.3029993 2.4604176
#> 728 2.3030314 2.4580303
#> 729 2.3030569 2.4552560
#> 730 2.3030771 2.4528329
#> 731 2.3030928 2.4498422
#> 732 2.3031047 2.4469009
#> 733 2.3031138 2.4423787
#> 734 2.3031205 2.4389856
#> 735 2.3031254 2.4363466
#> 736 2.3031290 2.4321991
#> 737 2.3031315 2.4298905
#> 738 2.3031333 2.4258389
#> 739 2.3031345 2.4224634
#> 740 2.3031354 2.4195219
#> 741 2.3031359 2.4151428
#> 742 2.3031363 2.4127252
#> 743 2.3031365 2.4103914
#> 744 2.3031367 2.4078901
#> 745 2.3031368 2.4051288
#> 746 2.3031368 2.4030549
#> 747 2.3031369 2.4014518
#> 748 2.3031369 2.3995593
#> 749 2.3031369 2.3978438
#> 750 2.3031369 2.3950329
#> 751 2.3031369 2.3917638
#> 752 2.3031369 2.3885065
#> 753 2.3031369 2.3862821
#> 754 2.3031369 2.3830460
#> 755 2.3031369 2.3817172
#> 756 2.3031369 2.3803487
#> 757 2.3031369 2.3779042
#> 758 2.3031369 2.3750471
#> 759 2.3031369 2.3713557
#> 760 2.3031369 2.3695240
#> 761 2.3031369 2.3673345
#> 762 2.3031369 2.3648673
#> 763 2.3031369 2.3631648
#> 764 2.3031369 2.3608571
#> 765 2.3031369 2.3583296
#> 766 2.3031369 2.3556829
#> 767 2.3031369 2.3529845
#> 768 2.3031369 2.3510769
#> 769 2.3031369 2.3484762
#> 770 2.3031369 2.3461409
#> 771 2.3031369 2.3438867
#> 772 2.3031369 2.3425249
#> 773 2.3031369 2.3412967
#> 774 2.3031369 2.3380744
#> 775 2.3031369 2.3341661
#> 776 2.3031369 2.3322857
#> 777 2.3031369 2.3298681
#> 778 2.3031369 2.3283752
#> 779 2.3031369 2.3255031
#> 780 2.3031369 2.3235685
#> 781 2.3031369 2.3211843
#> 782 2.3031369 2.3195291
#> 783 2.3031369 2.3176633
#> 784 2.3031369 2.3147033
#> 785 2.3031369 2.3130549
#> 786 2.3031369 2.3110769
#> 787 2.3031369 2.3074505
#> 788 2.3031369 2.3042637
#> 789 2.3031369 2.3019560
#> 790 2.3031369 2.2992310
#> 791 2.3031369 2.2961680
#> 792 2.3031369 2.2930550
#> 793 2.3031369 2.2907006
#> 794 2.3031369 2.2884395
#> 795 2.3031369 2.2869680
#> 796 2.3031369 2.2856923
#> 797 2.3031369 2.2833073
#> 798 2.3031369 2.2811526
#> 799 2.3031369 2.2781163
#> 800 2.3031369 2.2746375
#> 801 2.3031369 2.2727186
#> 802 2.3031369 2.2716733
#> 803 2.3031369 2.2697311
#> 804 2.3031369 2.2686133
#> 805 2.3031369 2.2677802
#> 806 2.3031369 2.2658638
#> 807 2.3031369 2.2634205
#> 808 2.3031369 2.2610265
#> 809 2.3031369 2.2587595
#> 810 2.3031369 2.2563577
#> 811 2.3031369 2.2538936
#> 812 2.3031369 2.2523956
#> 813 2.3031369 2.2495384
#> 814 2.3031369 2.2484114
#> 815 2.3031369 2.2462855
#> 816 2.3031369 2.2445370
#> 817 2.3031369 2.2435876
#> 818 2.3031369 2.2418931
#> 819 2.3031369 2.2405602
#> 820 2.3031369 2.2390011
#> 821 2.3031369 2.2374708
#> 822 2.3031369 2.2362805
#> 823 2.3031369 2.2341448
#> 824 2.3031369 2.2328351
#> 825 2.3031369 2.2321842
#> 826 2.3031369 2.2309447
#> 827 2.3031369 2.2296493
#> 828 2.3031369 2.2279516
#> 829 2.3031369 2.2265794
#> 830 2.3031369 2.2246497
#> 831 2.3031369 2.2236306
#> 832 2.3031369 2.2212967
#> 833 2.3031369 2.2198681
#> 834 2.3031369 2.2183296
#> 835 2.3031369 2.2160537
#> 836 2.3031369 2.2154991
#> 837 2.3031369 2.2135336
#> 838 2.3031369 2.2121704
#> 839 2.3031369 2.2109478
#> 840 2.3031369 2.2103703
#> 841 2.3031369 2.2084395
#> 842 2.3031369 2.2068433
#> 843 2.3031369 2.2053626
#> 844 2.3031369 2.2021985
#> 845 2.3031369 2.2000879
#> 846 2.3031369 2.1997775
#> 847 2.3031369 2.1985549
#> 848 2.3031369 2.1981452
#> 849 2.3031369 2.1969054
#> 850 2.3031369 2.1943930
#> 851 2.3031369 2.1928351
#> 852 2.3031369 2.1911840
#> 853 2.3031369 2.1898840
#> 854 2.3031369 2.1886870
#> 855 2.3031369 2.1863490
#> 856 2.3031369 2.1860219
#> 857 2.3031369 2.1835461
#> 858 2.3031369 2.1830899
#> 859 2.3031369 2.1823169
#> 860 2.3031369 2.1819063
#> 861 2.3031369 2.1808571
#> 862 2.3031369 2.1808571
#> 863 2.3031369 2.1799471
#> 864 2.3031369 2.1796287
#> 865 2.3031369 2.1772218
#> 866 2.3031369 2.1763516
#> 867 2.3031369 2.1760914
#> 868 2.3031369 2.1751363
#> 869 2.3031369 2.1733139
#> 870 2.3031369 2.1725623
#> 871 2.3031369 2.1706406
#> 872 2.3031369 2.1697582
#> 873 2.3031369 2.1692088
#> 874 2.3031369 2.1685586
#> 875 2.3031369 2.1676703
#> 876 2.3031369 2.1667156
#> 877 2.3031369 2.1653456
#> 878 2.3031369 2.1648540
#> 879 2.3031369 2.1629450
#> 880 2.3031369 2.1617770
#> 881 2.3031369 2.1613134
#> 882 2.3031369 2.1613134
#> 883 2.3031369 2.1590989
#> 884 2.3031369 2.1588791
#> 885 2.3031369 2.1588791
#> 886 2.3031369 2.1571689
#> 887 2.3031369 2.1567608
#> 888 2.3031369 2.1560219
#> 889 2.3031369 2.1556885
#> 890 2.3031369 2.1552527
#> 891 2.3031369 2.1552527
#> 892 2.3031369 2.1549137
#> 893 2.3031369 2.1549137
#> 894 2.3031369 2.1539505
#> 895 2.3031369 2.1539505
#> 896 2.3031369 2.1539505
#> 897 2.3031369 2.1530565
#> 898 2.3031369 2.1525055
#> 899 2.3031369 2.1525055
#> 900 2.3031369 2.1514327
#> 901 2.3031369 2.1511138
#> 902 2.3031369 2.1504964
#> 903 2.3031369 2.1501214
#> 904 2.3031369 2.1491914
#> 905 2.3031369 2.1483296
#> 906 2.3031369 2.1470046
#> 907 2.3031369 2.1463822
#> 908 2.3031369 2.1451357
#> 909 2.3031369 2.1451357
#> 910 2.3031369 2.1451357
#> 911 2.3031369 2.1451357
#> 912 2.3031369 2.1440859
#> 913 2.3031369 2.1440859
#> 914 2.3031369 2.1440859
#> 915 2.3031369 2.1433942
#> 916 2.3031369 2.1433942
#> 917 2.3031369 2.1433942
#> 918 2.3031369 2.1430549
#> 919 2.3031369 2.1425664
#> 920 2.3031369 2.1421805
#> 921 2.3031369 2.1421805
#> 922 2.3031369 2.1421805
#> 923 2.3031369 2.1417362
#> 924 2.3031369 2.1417362
#> 925 2.3031369 2.1405274
#> 926 2.3031369 2.1405274
#> 927 2.3031369 2.1399297
#> 928 2.3031369 2.1399297
#> 929 2.3031369 2.1399297
#> 930 2.3031369 2.1399297
#> 931 2.3031369 2.1387692
#> 932 2.3031369 2.1373406
#> 933 2.3031369 2.1373406
#> 934 2.3031369 2.1373406
#> 935 2.3031369 2.1373406
#> 936 2.3031369 2.1368977
#> 937 2.3031369 2.1368977
#> 938 2.3031369 2.1368977
#> 939 2.3031369 2.1368977
#> 940 2.3031369 2.1368977
#> 941 2.3031369 2.1368977
#> 942 2.3031369 2.1368977
#> 943 2.3031369 2.1354725
#> 944 2.3031369 2.1354725
#> 945 2.3031369 2.1334960
#> 946 2.3031369 2.1327252
#> 947 2.3031369 2.1321758
#> 948 2.3031369 2.1308571
#> 949 2.3031369 2.1294285
#> 950 2.3031369 2.1294285
#> 951 2.3031369 2.1288791
#> 952 2.3031369 2.1288791
#> 953 2.3031369 2.1288791
#> 954 2.3031369 2.1280808
#> 955 2.3031369 2.1280808
#> 956 2.3031369 2.1271331
#> 957 2.3031369 2.1271331
#> 958 2.3031369 2.1265908
#> 959 2.3031369 2.1265908
#> 960 2.3031369 2.1265908
#> 961 2.3031369 2.1258480
#> 962 2.3031369 2.1249230
#> 963 2.3031369 2.1232656
#> 964 2.3031369 2.1227252
#> 965 2.3031369 2.1227252
#> 966 2.3031369 2.1227252
#> 967 2.3031369 2.1227252
#> 968 2.3031369 2.1218639
#> 969 2.3031369 2.1218639
#> 970 2.3031369 2.1214739
#> 971 2.3031369 2.1200553
#> 972 2.3031369 2.1191066
#> 973 2.3031369 2.1191066
#> 974 2.3031369 2.1191066
#> 975 2.3031369 2.1180000
#> 976 2.3031369 2.1175604
#> 977 2.3031369 2.1175604
#> 978 2.3031369 2.1170110
#> 979 2.3031369 2.1159121
#> 980 2.3031369 2.1144595
#> 981 2.3031369 2.1132747
#> 982 2.3031369 2.1132747
#> 983 2.3031369 2.1132747
#> 984 2.3031369 2.1132747
#> 985 2.3031369 2.1127246
#> 986 2.3031369 2.1127246
#> 987 2.3031369 2.1116018
#> 988 2.3031369 2.1116018
#> 989 2.3031369 2.1098681
#> 990 2.3031369 2.1098681
#> 991 2.3031369 2.1090742
#> 992 2.3031369 2.1090742
#> 993 2.3031369 2.1077683
#> 994 2.3031369 2.1077683
#> 995 2.3031369 2.1070951
#> 996 2.3031369 2.1070951
#> 997 2.3031369 2.1070951
#> 998 2.3031369 2.1070951
#> 999 2.3031369 2.1070951
#> 1000 2.3031369 2.1060988
#> 1001 2.3031369 2.1060988
#> 1002 2.3031369 2.1045934
#> 1003 2.3031369 2.1034046
#> 1004 2.3031369 2.1025712
#> 1005 2.3031369 2.1025712
#> 1006 2.3031369 2.1025712
#> 1007 2.3031369 2.1011857
#> 1008 2.3031369 2.1000879
#> 1009 2.3031369 2.0969835
#> 1010 2.3031369 2.0969835
#> 1011 2.3031369 2.0969835
#> 1012 2.3031369 2.0952527
#> 1013 2.3031369 2.0938241
#> 1014 2.3031369 2.0938241
#> 1015 2.3031369 2.0923868
#> 1016 2.3031369 2.0923868
#> 1017 2.3031369 2.0923868
#> 1018 2.3031369 2.0923868
#> 1019 2.3031369 2.0910416
#> 1020 2.3031369 2.0910416
#> 1021 2.3031369 2.0893187
#> 1022 2.3031369 2.0874505
#> 1023 2.3031369 2.0859635
#> 1024 2.3031369 2.0859635
#> 1025 2.3031369 2.0859635
#> 1026 2.3031369 2.0836141
#> 1027 2.3031369 2.0836141
#> 1028 2.3031369 2.0789890
#> 1029 2.3031369 2.0789890
#> 1030 2.3031369 2.0763917
#> 1031 2.3031369 2.0739322
#> 1032 2.3031369 2.0739322
#> 1033 2.3031369 2.0717163
#> 1034 2.3031369 2.0717163
#> 1035 2.3031369 2.0717163
#> 1036 2.3031369 2.0689416
#> 1037 2.3031369 2.0689416
#> 1038 2.3031369 2.0689416
#> 1039 2.3031369 2.0689416
#> 1040 2.3031369 2.0655824
#> 1041 2.3031369 2.0655824
#> 1042 2.3031369 2.0628116
#> 1043 2.3031369 2.0628116
#> 1044 2.3031369 2.0628116
#> 1045 2.3031369 2.0628116
#> 1046 2.3031369 2.0628116
#> 1047 2.3031369 2.0628116
#> 1048 2.3031369 2.0628116
#> 1049 2.3031369 2.0628116
#> 1050 2.3031369 2.0592102
#> 1051 2.3031369 2.0552527
#> 1052 2.3031369 2.0552527
#> 1053 2.3031369 2.0552527
#> 1054 2.3031369 2.0552527
#> 1055 2.3031369 2.0552527
#> 1056 2.3031369 2.0552527
#> 1057 2.3031369 2.0552527
#> 1058 2.3031369 2.0552527
#> 1059 2.3031369 2.0552527
#> 1060 2.3031369 2.0552527
#> 1061 2.3031369 2.0552527
#> 1062 2.3031369 2.0552527
#> 1063 2.3031369 2.0552527
#> 1064 2.3031369 2.0516263
#> 1065 2.3031369 2.0516263
#> 1066 2.3031369 2.0516263
#> 1067 2.3031369 2.0461318
#> 1068 2.3031369 2.0461318
#> 1069 2.3031369 2.0461318
#> 1070 2.3031369 2.0461318
#> 1071 2.3031369 2.0461318
#> 1072 2.3031369 2.0461318
#> 1073 2.3031369 2.0461318
#> 1074 2.3031369 2.0461318
#> 1075 2.3031369 2.0398550
#> 1076 2.3031369 2.0398550
#> 1077 2.3031369 2.0398550
#> 1078 2.3031369 2.0327252
#> 1079 2.3031369 2.0327252
#> 1080 2.3031369 2.0327252
#> 1081 2.3031369 2.0327252
#> 1082 2.3031369 2.0327252
#> 1083 2.3031369 2.0327252
#> 1084 2.3031369 2.0327252
#> 1085 2.3031369 2.0327252
#> 1086 2.3031369 2.0327252
#> 1087 2.3031369 2.0327252
#> 1088 2.3031369 2.0327252
#> 1089 2.3031369 2.0220311
#> 1090 2.3031369 2.0220311
#> 1091 2.3031369 2.0220311
#> 1092 2.3031369 2.0220311
#> 1093 2.3031369 2.0220311
#> 1094 2.3031369 2.0220311
#> 1095 2.3031369 2.0220311
#> 1096 2.3031369 2.0220311
#> 1097 2.3031369 2.0051696
#> 1098 2.3031369 2.0051696
#> 1099 2.3031369 2.0051696
#> 1100 2.3031369 2.0051696
#> 1101 2.3031369 2.0051696
#> 1102 2.3031369 2.0051696
#> 1103 2.3031369 2.0051696
#> 1104 2.3031369 2.0051696
#> 1105 2.3031369 2.0051696
#> 1106 2.3031369 2.0051696
#> 1107 2.3031369 2.0051696
#> 1108 2.3031369 2.0051696
#> 1109 2.3031369 2.0051696
#> 1110 2.3031369 2.0051696
#> 1111 2.3031369 0.6419732
#> 1112 2.3031369 0.6419732
#> 1113 2.3031369 0.6419732
#> 1114 2.3031369 0.6419732
#> 1115 2.3031369 0.6419732
#> 1116 2.3031369 0.6419732
#> 1117 2.3031369 0.6419732
#> 1118 2.3031369 0.6419732
#> 1119 2.3031369 0.6419732
#> 1120 2.3031369 0.6419732
#> 1121 2.3031369 0.6419732
#> 1122 2.3031369 0.6419732
#> 1123 2.3031369 0.6419732
#> 1124 2.3031369 0.6419732
#> 1125 2.3031369 0.6419732
#> 1126 2.3031369 0.6419732
#> 1127 2.3031369 0.6419732
#> 1128 2.3031369 0.6419732
#> 1129 2.3031369 0.6419732
#> 1130 2.3031369 0.6419732
#> 1131 2.3031369 0.6419732
#> 1132 2.3031369 0.6419732
#> 1133 2.3031369 0.6419732
#> 1134 2.3031369 0.6419732
#> 1135 2.3031369 0.6419732
#> 1136 2.3031369 0.6419732
#> 1137 2.3031369 0.6419732
#> 1138 2.3031369 0.6419732
#> 1139 2.3031369 0.6419732
#>