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library(calibrate)
## Warning: package 'calibrate' was built under R version 3.4.4
## Loading required package: MASS
library(expsmooth)
## Warning: package 'expsmooth' was built under R version 3.4.4
## Loading required package: forecast
## Warning: package 'forecast' was built under R version 3.4.4
library(fma)
## Warning: package 'fma' was built under R version 3.4.4
## 
## Attaching package: 'fma'
## The following objects are masked from 'package:MASS':
## 
##     cement, housing, petrol
library(forecast)
library(fpp2)
## Warning: package 'fpp2' was built under R version 3.4.4
## Loading required package: ggplot2
## Warning: package 'ggplot2' was built under R version 3.4.4
library(ggplot2)
library(ggrepel)
## Warning: package 'ggrepel' was built under R version 3.4.4
library(knitr)
## Warning: package 'knitr' was built under R version 3.4.3
library(stargazer)
## Warning: package 'stargazer' was built under R version 3.4.3
## 
## Please cite as:
##  Hlavac, Marek (2018). stargazer: Well-Formatted Regression and Summary Statistics Tables.
##  R package version 5.2.1. https://CRAN.R-project.org/package=stargazer
library(forecast)
library(fpp2)
library(timeSeries)
## Warning: package 'timeSeries' was built under R version 3.4.4
## Loading required package: timeDate
## Warning: package 'timeDate' was built under R version 3.4.3

Nile Dataset

First plot the Nile dataset to see if there is any trend and seasonality

plot(Nile)

ts(Nile,frequency=1)
## Time Series:
## Start = 1 
## End = 100 
## Frequency = 1 
##   [1] 1120 1160  963 1210 1160 1160  813 1230 1370 1140  995  935 1110  994
##  [15] 1020  960 1180  799  958 1140 1100 1210 1150 1250 1260 1220 1030 1100
##  [29]  774  840  874  694  940  833  701  916  692 1020 1050  969  831  726
##  [43]  456  824  702 1120 1100  832  764  821  768  845  864  862  698  845
##  [57]  744  796 1040  759  781  865  845  944  984  897  822 1010  771  676
##  [71]  649  846  812  742  801 1040  860  874  848  890  744  749  838 1050
##  [85]  918  986  797  923  975  815 1020  906  901 1170  912  746  919  718
##  [99]  714  740
autoplot(decompose(Nile))
## Error in decompose(Nile): time series has no or less than 2 periods
frequency(Nile)
## [1] 1
niledata <- window(Nile,start=1871,frequency=1)

Simple exponential smoothing ses() is good for data that does not shows trend and seasonality;

fc2=ses(niledata,h=5)
autoplot(fc2) +
  autolayer(fitted(fc2), series="Fitted") +
  ylab("Nile)") + xlab("Year")

Holt()is good for datasets with a trend and without seasonality

fc=holt(niledata,h=5)
autoplot(fc) +
  autolayer(fitted(fc), series="Fitted") +
  ylab("Nile)") + xlab("Year")

Using predict()

fc3=predict(ses(niledata),h=5)
autoplot(fc3)+ylab("Nile)") + xlab("Year")

Holt-Winters is good for data with trend and seasonality + a damping parameter

na.omit(niledata)
## Time Series:
## Start = 1871 
## End = 1970 
## Frequency = 1 
##   [1] 1120 1160  963 1210 1160 1160  813 1230 1370 1140  995  935 1110  994
##  [15] 1020  960 1180  799  958 1140 1100 1210 1150 1250 1260 1220 1030 1100
##  [29]  774  840  874  694  940  833  701  916  692 1020 1050  969  831  726
##  [43]  456  824  702 1120 1100  832  764  821  768  845  864  862  698  845
##  [57]  744  796 1040  759  781  865  845  944  984  897  822 1010  771  676
##  [71]  649  846  812  742  801 1040  860  874  848  890  744  749  838 1050
##  [85]  918  986  797  923  975  815 1020  906  901 1170  912  746  919  718
##  [99]  714  740
fc4 <- hw(niledata,gamma = FALSE)
## Error in hw(niledata, gamma = FALSE): The time series should have frequency greater than 1.
autoplot(niledata) +
  autolayer(fc4$fitted) +
  xlab("Year") +ylab("Nile Flows") + ggtitle("Nile Flows") 
## Error in autolayer(fc4$fitted): object 'fc4' not found

Automated model selection via ets(); (M,N,N) means error is multiplicative; no trend; no seasonality; no grmma and beta smoothing parameters because no trend(beta) and no seasonality(gamma)

nilemodel=ets(niledata)
plot(niledata)
lines(nilemodel$fitted,col="red")

Next, plot the forecasted value using ets model with 95% as the level

plot(forecast(nilemodel,h=10,level = 95))

Air Passenger Dataset

First I plot this dataset to see if there is any seasonality and trend; It seems to be multiplicative

plot((AirPassengers))

Then use holtwinters as the model and plot the model

HoltWinters(AirPassengers)
## Holt-Winters exponential smoothing with trend and additive seasonal component.
## 
## Call:
## HoltWinters(x = AirPassengers)
## 
## Smoothing parameters:
##  alpha: 0.2479595
##  beta : 0.03453373
##  gamma: 1
## 
## Coefficients:
##           [,1]
## a   477.827781
## b     3.127627
## s1  -27.457685
## s2  -54.692464
## s3  -20.174608
## s4   12.919120
## s5   18.873607
## s6   75.294426
## s7  152.888368
## s8  134.613464
## s9   33.778349
## s10 -18.379060
## s11 -87.772408
## s12 -45.827781
plot(HoltWinters(AirPassengers))

Then we can plot the forecasted model for 2 more year

airmodel=HoltWinters(AirPassengers)
y=forecast(airmodel,h=24)
plot(forecast(airmodel,h=24))

At last, we can check if the model works

acf(y$residuals,na.action = na.pass)

We can then change the beta and gamma, sigma value just to try out

par(mfrow=c(2,2))
plot(HoltWinters(AirPassengers,beta = 0.5,gamma = 0.5))
plot(HoltWinters(AirPassengers,beta = 0.1,gamma = 0.5))
plot(HoltWinters(AirPassengers,beta = 1,gamma = 0.5))
plot(HoltWinters(AirPassengers,beta = 0.5,gamma = 1))

EuStockMarkets

First, I choose DAX as my target analysis; Some simple analysis regarding frequency and length; Then I decompase it to see which method should i use

dax=EuStockMarkets[,1]
plot(dax)

frequency(dax)     
## [1] 260
length(dax)
## [1] 1860
autoplot(decompose(dax,type = "additive"))

An alternative way to do that

stl(dax,s.window = "periodic")
##  Call:
##  stl(x = dax, s.window = "periodic")
## 
## Components
## Time Series:
## Start = c(1991, 130) 
## End = c(1998, 169) 
## Frequency = 260 
##              seasonal    trend    remainder
## 1991.496   43.1900952 1602.604  -17.0445950
## 1991.500   55.3795008 1603.064  -44.8134914
## 1991.504   61.2914064 1603.523  -58.3048878
## 1991.508   68.4470620 1603.983  -51.3900342
## 1991.512   68.4527176 1604.442  -54.7351806
## 1991.515   70.8396232 1604.902  -65.1315770
## 1991.519   65.8590288 1605.361  -40.4704734
## 1991.523   80.3559344 1605.821  -46.0068698
## 1991.527   97.0990899 1606.280  -67.9095162
## 1991.531  107.7572455 1606.740  -68.6071626
## 1991.535  113.6216511 1607.199  -72.9810590
## 1991.538  116.5460567 1607.659  -85.8549553
## 1991.542  121.4679623 1608.118  -99.6563517
## 1991.546  111.2548679 1608.578  -98.3427481
## 1991.550  119.5630235 1609.037 -103.8603945
## 1991.554  124.1574291 1609.497 -106.0242909
## 1991.558  123.6293347 1609.956 -101.5956873
## 1991.562  131.1587403 1610.416 -120.3945837
## 1991.565  124.9506459 1610.875 -122.4059801
## 1991.569  121.8513015 1611.335 -128.2361265
## 1991.573  127.8069571 1611.794 -133.8512729
## 1991.577  149.3419066 1612.254 -144.9257132
## 1991.581  139.5631062 1612.713 -132.9864036
## 1991.585  122.1268057 1613.173 -114.8095939
## 1991.588  123.5592553 1613.632 -117.5215343
## 1991.592  103.2029548 1614.092  -94.2247246
## 1991.596  105.7816544 1614.551 -106.3529150
## 1991.600  120.7041039 1615.011 -103.8448553
## 1991.604  119.3703035 1615.470 -104.4705457
## 1991.608  107.0502530 1615.930  -89.5099860
## 1991.612   83.5064526 1616.389  -73.3456764
## 1991.615   74.2526521 1616.849  -40.6713667
## 1991.619   66.1976017 1617.308  -33.4458071
## 1991.623   62.8850512 1617.768  -26.5427474
## 1991.627   56.8662507 1618.227  -21.4934378
## 1991.631   11.6399503 1618.687 -128.5066281
## 1991.635    2.5961498 1619.146  -97.4623185
## 1991.638    9.2948494 1619.606  -25.2505088
## 1991.642   -3.0802011 1620.065    5.5050509
## 1991.646   -0.9352515 1620.525   17.0906105
## 1991.650    9.1983160 1620.984   21.9175522
## 1991.654   21.5111144 1621.359    2.9399035
## 1991.658   29.9424842 1621.734   -1.3163166
## 1991.662   28.9467112 1622.109    0.4946061
## 1991.665   19.7537953 1622.484    7.6426717
## 1991.669   20.7808794 1622.858    9.8807373
## 1991.673    4.3793921 1623.233   29.8973743
## 1991.677    1.9264762 1623.608   24.0154399
## 1991.681  -15.4578683 1623.983   40.5649340
## 1991.685  -16.2693556 1624.358   38.3215711
## 1991.688   -8.3351287 1624.733   22.2524938
## 1991.692   -2.2109017 1625.107    2.9034165
## 1991.696  -15.1466747 1625.482   18.3043393
## 1991.700   -9.6881621 1625.857   16.0509763
## 1991.704  -15.3982208 1626.232   22.8161847
## 1991.708    2.8002919 1626.607    1.7628217
## 1991.712   -3.4797669 1626.982   12.2980302
## 1991.715  -19.3241114 1627.357   13.2375244
## 1991.719  -37.0113130 1627.731   33.9798757
## 1991.723  -47.4342289 1628.106   35.4579412
## 1991.727  -37.8171448 1628.481   27.4560068
## 1991.731  -25.8216862 1628.856   24.7656980
## 1991.735  -38.3876562 1629.231   34.9468177
## 1991.738  -38.9536262 1629.606   24.1479374
## 1991.742  -54.0253105 1629.981   36.8447714
## 1991.746  -48.5169948 1630.355   23.6316054
## 1991.750  -44.8129648 1630.730   23.4027251
## 1991.754  -42.7003634 1631.105   19.0752733
## 1991.758  -57.4649048 1631.480   33.4649645
## 1991.762  -55.6965891 1631.855   28.7317985
## 1991.765  -72.2268448 1632.230   29.1172039
## 1991.769  -63.6342434 1632.604   13.2997521
## 1991.773  -46.9587849 1632.979  -18.0305567
## 1991.777  -47.3033263 1633.354  -17.8908656
## 1991.781  -44.6650106 1633.729  -19.3540316
## 1991.785  -30.6066949 1634.104  -31.7571976
## 1991.788  -26.9940935 1634.479  -22.0746493
## 1991.792  -42.9057778 1634.854  -21.9378154
## 1991.796  -53.5274620 1635.228  -19.8109814
## 1991.800  -43.2534321 1635.603  -27.1698617
## 1991.804  -35.3808306 1635.978  -30.2573134
## 1991.808  -35.9233354 1636.280  -23.3571533
## 1991.812  -47.0601259 1636.583    0.7672924
## 1991.815  -51.9783449 1636.885  -12.1868333
## 1991.819  -67.8937068 1637.188    2.7761839
## 1991.823  -71.2004973 1637.490   12.9006297
## 1991.827  -64.3087163 1637.792   15.2465040
## 1991.831  -79.1483639 1638.095   27.0638069
## 1991.835 -100.3880116 1638.397   41.7611098
## 1991.838  -99.2490877 1638.699   33.1298413
## 1991.842 -111.4287354 1639.002   40.5171442
## 1991.846 -142.5626687 1639.304   81.4687328
## 1991.850 -126.9794592 1639.606   61.3131785
## 1991.854 -134.4019639 1639.909   76.5533386
## 1991.858 -138.0644687 1640.211  108.0334986
## 1991.862 -127.8955449 1640.513   92.5422301
## 1991.865 -122.4880496 1640.816  105.5123901
## 1991.869 -112.3019829 1641.118   86.4439788
## 1991.873 -112.4259163 1641.420   98.0855674
## 1991.877 -131.8312782 1641.723  117.0785846
## 1991.881 -126.3352115 1642.025   90.0101732
## 1991.885 -117.2472854 1642.327   64.6199024
## 1991.888 -123.8022165 1642.630   70.8724888
## 1991.892 -124.0000048 1642.932   84.3279323
## 1991.896 -128.5177930 1643.234   85.0333758
## 1991.900 -125.1012955 1643.537   72.4245336
## 1991.904 -121.7990837 1643.839   81.4599771
## 1991.908 -129.8325862 1644.141   75.5511349
## 1991.912 -116.9589459 1644.444   60.4351499
## 1991.915 -118.6453056 1644.746   44.9591648
## 1991.919 -127.3059509 1645.048   32.0674655
## 1991.923 -128.1494535 1645.351   32.1586233
## 1991.927 -114.0543845 1645.653   23.0512096
## 1991.931 -104.7078871 1645.956   16.2723674
## 1991.935  -98.2556753 1646.258    7.3078109
## 1991.938  -76.7177492 1646.560  -10.0824598
## 1991.942  -80.0726803 1646.863  -18.3498735
## 1991.946  -83.1861828 1647.165  -19.9887157
## 1991.950  -75.9125425 1647.467  -21.3447007
## 1991.954  -82.0674736 1647.770   -8.6721143
## 1991.958  -80.1366904 1648.072  -16.1552423
## 1991.962  -82.9829081 1648.314   -2.4411025
## 1991.965  -97.9419829 1648.556   19.6658943
## 1991.969 -110.4482006 1648.798   20.9100341
## 1991.973 -105.4772754 1649.040    2.3070309
## 1991.977 -107.6306359 1649.282    1.1183135
## 1991.981  -94.8425679 1649.524  -11.9118325
## 1991.985  -84.7573570 1649.766  -22.2391213
## 1991.988  -80.2507175 1650.009  -26.9878387
## 1991.992  -91.2597923 1650.251    5.2791581
## 1991.996  -71.4945815 1650.493   -1.7381307
## 1992.000  -75.3993706 1650.735    1.9245804
## 1992.004  -81.3098739 1650.977    7.5930059
## 1992.008  -80.6660916 1651.219   27.6371456
## 1992.012  -78.1351664 1651.461   30.7241425
## 1992.015  -57.7856698 1651.703   10.7725679
## 1992.019  -63.1704589 1651.945    4.8752791
## 1992.023  -66.2423909 1652.187   -4.2648669
## 1992.027  -79.8543229 1652.429   26.5649871
## 1992.031  -55.7262548 1652.671   16.8748411
## 1992.035  -43.8939011 1652.913   11.4304094
## 1992.038  -49.3096073 1653.156   25.6640377
## 1992.042  -56.9510278 1653.398   67.2533802
## 1992.046  -65.7981626 1653.640   76.2484371
## 1992.050  -68.8167260 1653.882   84.2249225
## 1992.054  -74.3067180 1654.124  105.3228365
## 1992.058  -68.2724242 1654.366  100.9764648
## 1992.062  -71.8952733 1654.608   97.4172359
## 1992.065  -75.6638367 1654.850   92.6537213
## 1992.069  -69.8438286 1655.092   84.2716353
## 1992.073  -65.0281063 1655.334   96.4038350
## 1992.077  -63.5066696 1655.576   93.4403204
## 1992.081  -62.9609473 1655.818   78.1525201
## 1992.085  -60.6052250 1656.061   87.6047198
## 1992.088  -67.1366455 1656.303   96.5340624
## 1992.092  -56.2466374 1656.545   85.3619764
## 1992.096  -47.1123436 1656.787   69.0956047
## 1992.100  -34.9337642 1657.029   63.7549472
## 1992.104  -31.0537561 1657.271   57.4928612
## 1992.108  -21.4523195 1657.513   50.5293467
## 1992.112  -19.2137400 1657.755   45.1886892
## 1992.115  -17.7326663 1657.833   39.0393055
## 1992.119  -12.0115927 1657.912   39.1299217
## 1992.123  -12.4419476 1657.990   35.2619666
## 1992.127   -1.8423025 1658.068   19.9440114
## 1992.131   -0.4498003 1658.147   30.7631991
## 1992.135    8.4469876 1658.225   29.8781011
## 1992.138    8.7752041 1658.303   23.1615745
## 1992.142   12.7534207 1658.382   40.2150479
## 1992.146    9.9902086 1658.460   42.8399498
## 1992.150    2.4084251 1658.538   68.9134232
## 1992.154    3.2294988 1658.616   54.7840395
## 1992.158    6.1891438 1658.695   78.4760843
## 1992.162   -1.1583539 1658.773   87.5552720
## 1992.165    2.6341483 1658.851   85.2744597
## 1992.169    4.2066505 1658.930   86.1536474
## 1992.173    6.2720099 1659.008   98.5799779
## 1992.177   22.6902264 1659.086   80.4934513
## 1992.181   24.7270143 1659.165   78.3983533
## 1992.185   20.7680880 1659.243   66.7589696
## 1992.188   38.5563045 1659.321   55.6224430
## 1992.192   39.9359223 1659.400   53.8745151
## 1992.196   27.8826830 1659.478   52.5194443
## 1992.200   20.0451580 1659.556   44.3186593
## 1992.204   27.4590615 1659.634   47.3264456
## 1992.208   37.1429650 1659.713   26.2742320
## 1992.212   47.3682971 1659.791   25.7605898
## 1992.215   32.6936293 1659.869   37.3269476
## 1992.219   29.6275328 1659.948   36.1647340
## 1992.223   32.4628649 1660.026   38.4110918
## 1992.227   20.3553399 1660.104   33.7103067
## 1992.231   20.2906720 1660.183   35.7266645
## 1992.235   20.7088612 1660.261   38.0901652
## 1992.238    8.7056219 1660.339   49.1650944
## 1992.242   20.4080969 1660.418   18.0143094
## 1992.246   26.7077147 1660.496   27.5563815
## 1992.250   39.8787611 1660.574   17.8970250
## 1992.254   53.0812361 1660.653   -7.0437601
## 1992.258   35.9451396 1660.731   26.6940263
## 1992.262   29.4704717 1660.809   25.9003841
## 1992.265   35.7800895 1660.887   42.1124562
## 1992.269   30.9786819 1660.453   45.9780742
## 1992.273   18.5815600 1660.019   36.1694065
## 1992.277   29.2401523 1659.585   35.4150245
## 1992.281   42.8601733 1659.151   31.7592140
## 1992.285   72.0244799 1658.716   -0.7808823
## 1992.288   64.7530723 1658.282   11.4247357
## 1992.292   68.0973789 1657.848   18.4046395
## 1992.296   64.9059713 1657.414   24.5602575
## 1992.300   63.2117065 1656.980   26.6887326
## 1992.304   62.1360132 1656.545   28.1986364
## 1992.308   70.6874627 1656.111   20.6713972
## 1992.312   57.6531979 1655.677   39.7698724
## 1992.315   51.2117903 1655.243   38.7154904
## 1992.319   60.1546684 1654.809   30.7568227
## 1992.323   62.1032607 1654.374   26.4424407
## 1992.327   64.1761388 1653.940   13.5637730
## 1992.331   56.7090169 1653.506   20.9651053
## 1992.335   48.1590378 1653.072   26.8592948
## 1992.338   26.1519159 1652.637   49.3006271
## 1992.342    4.3733654 1652.203   74.7133879
## 1992.346   23.7008852 1651.769   58.3500785
## 1992.350   19.6055478 1651.335   74.8396263
## 1992.354   35.8387819 1650.901   65.8306026
## 1992.358   35.8234446 1650.466   61.8401503
## 1992.362   58.9366786 1650.032   41.7311266
## 1992.365   43.9299127 1649.598   54.3821029
## 1992.369   49.3888611 1649.164   47.2373649
## 1992.373   35.5049523 1648.730   51.1054841
## 1992.377   52.6110435 1648.295   19.0136032
## 1992.381   76.3114204 1647.861   39.4174367
## 1992.385   68.4917974 1647.427   50.8412701
## 1992.388   76.3493172 1646.993   62.0579607
## 1992.392   68.7139798 1646.559   68.2875085
## 1992.396   75.5857853 1646.124   82.7099133
## 1992.400   66.6718765 1645.690   99.9680325
## 1992.404   64.8708249 1645.256   89.3832945
## 1992.408   77.0540590 1644.822   70.9242708
## 1992.412   74.3172931 1644.387   74.0952471
## 1992.415   71.8548128 1643.953   90.5519377
## 1992.419   86.9751898 1643.519   67.7357712
## 1992.423   94.9623091 1643.126   62.5321817
## 1992.427   58.2494284 1642.732   85.2085923
## 1992.431   65.6479763 1642.338   83.3635743
## 1992.435   66.3536670 1641.945   80.7514134
## 1992.438   75.3765006 1641.551   72.1221097
## 1992.442   84.1436199 1641.158   59.4085202
## 1992.446   91.6035964 1640.764   57.0820737
## 1992.450   86.7664299 1640.371   52.6027699
## 1992.454   99.6635493 1639.977   47.3291805
## 1992.458   96.4978114 1639.584   37.1684482
## 1992.462   96.0092164 1639.190   46.4205730
## 1992.465   94.5806215 1638.797   40.3726979
## 1992.469   96.7620265 1638.403   38.5848227
## 1992.473   67.5248601 1638.010   70.8055190
## 1992.477   56.4876937 1637.616   76.6162153
## 1992.481   50.4676701 1637.223   84.6997687
## 1992.485   70.4347894 1636.829   55.2861792
## 1992.488   69.4376230 1636.436   58.4768755
## 1992.492   59.6447423 1636.042   57.1432861
## 1992.496   43.1900952 1635.648   77.1414631
## 1992.500   55.3795008 1635.255   64.3155873
## 1992.504   61.2914064 1634.861   63.7472116
## 1992.508   68.4470620 1634.468   56.9250859
## 1992.512   68.4527176 1634.074   73.9729602
## 1992.515   70.8396232 1633.681   65.4595844
## 1992.519   65.8590288 1633.287   67.8337087
## 1992.523   80.3559344 1632.894   39.0403330
## 1992.527   97.0990899 1632.500   30.5707072
## 1992.531  107.7572455 1632.107   10.4560815
## 1992.535  113.6216511 1631.713  -13.8947942
## 1992.538  116.5460567 1631.320  -12.3556699
## 1992.542  121.4679623 1630.926  -18.5540457
## 1992.546  111.2548679 1630.533  -11.0074214
## 1992.550  119.5630235 1630.139  -50.2420471
## 1992.554  124.1574291 1629.745 -101.1929229
## 1992.558  123.6293347 1629.352  -98.8912986
## 1992.562  131.1587403 1628.958 -123.3071743
## 1992.565  124.9506459 1628.565 -130.7055500
## 1992.569  121.8513015 1628.171 -136.6626758
## 1992.573  127.8069571 1627.778 -137.8048015
## 1992.577  149.3419066 1627.470 -159.6316777
## 1992.581  139.5631062 1627.162 -129.1048038
## 1992.585  122.1268057 1626.854 -126.7804300
## 1992.588  123.5592553 1626.546 -141.6148062
## 1992.592  103.2029548 1626.237 -124.3304324
## 1992.596  105.7816544 1625.929 -122.1010586
## 1992.600  120.7041039 1625.621 -121.3854347
## 1992.604  119.3703035 1625.313 -126.6135609
## 1992.608  107.0502530 1625.005 -120.0954371
## 1992.612   83.5064526 1624.697 -129.2535633
## 1992.615   74.2526521 1624.389 -137.2516894
## 1992.619   66.1976017 1624.081 -142.4085656
## 1992.623   62.8850512 1623.773 -138.0279418
## 1992.627   56.8662507 1623.465 -120.1710680
## 1992.631   11.6399503 1623.157  -80.0366941
## 1992.635    2.5961498 1622.849  -93.5748203
## 1992.638    9.2948494 1622.541 -105.6954465
## 1992.642   -3.0802011 1622.233 -110.1223227
## 1992.646   -0.9352515 1621.924  -90.9591989
## 1992.650    9.1983160 1621.616 -145.8446930
## 1992.654   21.5111144 1621.308 -178.7894180
## 1992.658   29.9424842 1621.000 -175.8327145
## 1992.662   28.9467112 1620.692 -133.5188681
## 1992.665   19.7537953 1620.384 -120.4478788
## 1992.669   20.7808794 1620.076 -110.8868895
## 1992.673    4.3793921 1619.768 -107.7073288
## 1992.677    1.9264762 1619.460 -105.8563396
## 1992.681  -15.4578683 1619.152  -59.8039217
## 1992.685  -16.2693556 1618.844  -67.8543610
## 1992.688   -8.3351287 1618.536  -71.5405146
## 1992.692   -2.2109017 1618.228  -79.3066682
## 1992.696  -15.1466747 1617.919  -78.9428218
## 1992.700   -9.6881621 1617.611  -80.8232611
## 1992.704  -15.3982208 1617.303  -71.7051290
## 1992.708    2.8002919 1616.995  -18.2955683
## 1992.712   -3.4797669 1616.687  -32.9174362
## 1992.715  -19.3241114 1616.379   -1.9650183
## 1992.719  -37.0113130 1616.071    0.4102566
## 1992.723  -47.4342289 1615.763   32.2612459
## 1992.727  -37.8171448 1615.455  -11.6377648
## 1992.731  -25.8216862 1615.217  -32.3851879
## 1992.735  -38.3876562 1614.979  -33.8511824
## 1992.738  -38.9536262 1614.741  -39.4871770
## 1992.742  -54.0253105 1614.503  -49.8174572
## 1992.746  -48.5169948 1614.265  -84.7177374
## 1992.750  -44.8129648 1614.027  -85.3837319
## 1992.754  -42.7003634 1613.789 -100.9982979
## 1992.758  -57.4649048 1613.551  -71.3057210
## 1992.762  -55.6965891 1613.313  -82.2060012
## 1992.765  -72.2268448 1613.075 -138.5077100
## 1992.769  -63.6342434 1612.837 -127.7122760
## 1992.773  -46.9587849 1612.598 -131.0296991
## 1992.777  -47.3033263 1612.360 -118.7371222
## 1992.781  -44.6650106 1612.122 -129.8074024
## 1992.785  -30.6066949 1611.884 -139.7076826
## 1992.788  -26.9940935 1611.646 -113.0122486
## 1992.792  -42.9057778 1611.408 -114.5525288
## 1992.796  -53.5274620 1611.170 -103.8528090
## 1992.800  -43.2534321 1610.932 -109.6588036
## 1992.804  -35.3808306 1610.694  -95.7233695
## 1992.808  -35.9233354 1610.456  -69.6428293
## 1992.812  -47.0601259 1610.218  -66.6180033
## 1992.815  -51.9783449 1609.980  -47.0017488
## 1992.819  -67.8937068 1609.742  -12.9883514
## 1992.823  -71.2004973 1609.504   -4.2835255
## 1992.827  -64.3087163 1609.266   -8.3572710
## 1992.831  -79.1483639 1609.028  -21.6895879
## 1992.835 -100.3880116 1608.790  -14.8619048
## 1992.838  -99.2490877 1608.552  -19.6227932
## 1992.842 -111.4287354 1608.314  -14.4451101
## 1992.846 -142.5626687 1608.076   17.8268587
## 1992.850 -126.9794592 1607.838  -10.2883153
## 1992.854 -134.4019639 1607.600   11.6422249
## 1992.858 -138.0644687 1607.362   18.4127651
## 1992.862 -127.8955449 1607.124   29.4018768
## 1992.865 -122.4880496 1606.886   30.8724170
## 1992.869 -112.3019829 1606.648   15.4943858
## 1992.873 -112.4259163 1606.410   48.2963546
## 1992.877 -131.8312782 1606.172   67.4497520
## 1992.881 -126.3352115 1605.933   62.8817208
## 1992.885 -117.2472854 1605.994   61.5237008
## 1992.888 -123.8022165 1606.054   68.0185379
## 1992.892 -124.0000048 1606.114   61.2562322
## 1992.896 -128.5177930 1606.174   70.1839265
## 1992.900 -125.1012955 1606.234   42.4873351
## 1992.904 -121.7990837 1606.294   42.1850293
## 1992.908 -129.8325862 1606.354   36.8984379
## 1992.912 -116.9589459 1606.414   33.5647036
## 1992.915 -118.6453056 1606.474   41.8609693
## 1992.919 -127.3059509 1606.534   65.8915208
## 1992.923 -128.1494535 1606.595   68.3749293
## 1992.927 -114.0543845 1606.655   35.5197665
## 1992.931 -104.7078871 1606.715   28.6431750
## 1992.935  -98.2556753 1606.775   17.7308693
## 1992.938  -76.7177492 1606.835  -10.6371507
## 1992.942  -80.0726803 1606.895  -20.1723135
## 1992.946  -83.1861828 1606.955  -19.4689050
## 1992.950  -75.9125425 1607.015  -50.4526393
## 1992.954  -82.0674736 1607.075  -48.3078021
## 1992.958  -80.1366904 1607.135  -48.9286793
## 1992.962  -82.9829081 1607.195  -44.5925555
## 1992.965  -97.9419829 1607.256  -31.7635747
## 1992.969 -110.4482006 1607.316  -24.2774509
## 1992.973 -105.4772754 1607.376   -6.2984700
## 1992.977 -107.6306359 1607.436   17.6447965
## 1992.981  -94.8425679 1607.496    8.2766346
## 1992.985  -84.7573570 1607.556    4.2613297
## 1992.988  -80.2507175 1607.616   -0.3054037
## 1992.992  -91.2597923 1607.676   10.6435772
## 1992.996  -71.4945815 1607.736   11.2682723
## 1993.000  -75.3993706 1607.796   13.4229675
## 1993.004  -81.3098739 1607.856   11.8833769
## 1993.008  -80.6660916 1607.917   11.1795007
## 1993.012  -78.1351664 1607.977    8.5884815
## 1993.015  -57.7856698 1608.037  -12.2111090
## 1993.019  -63.1704589 1608.097    9.1035862
## 1993.023  -66.2423909 1608.157    9.2554242
## 1993.027  -79.8543229 1608.217   10.0072622
## 1993.031  -55.7262548 1608.277  -23.4508998
## 1993.035  -43.8939011 1608.337  -42.1833475
## 1993.038  -49.3096073 1609.082  -25.9824937
## 1993.042  -56.9510278 1609.827  -42.6959257
## 1993.046  -65.7981626 1610.572  -17.8636433
## 1993.050  -68.8167260 1611.317   13.0200676
## 1993.054  -74.3067180 1612.062   43.7352070
## 1993.058  -68.2724242 1612.806   28.0760608
## 1993.062  -71.8952733 1613.551   31.0340574
## 1993.065  -75.6638367 1614.296   42.0077683
## 1993.069  -69.8438286 1615.041   48.1529078
## 1993.073  -65.0281063 1615.786   20.5223330
## 1993.077  -63.5066696 1616.531   22.5660439
## 1993.081  -62.9609473 1617.275    7.4654691
## 1993.085  -60.6052250 1618.020   15.2648943
## 1993.088  -67.1366455 1618.765   22.4114624
## 1993.092  -56.2466374 1619.510   27.0666018
## 1993.096  -47.1123436 1620.255   10.9974556
## 1993.100  -34.9337642 1621.000   19.8440236
## 1993.104  -31.0537561 1621.745   25.2891631
## 1993.108  -21.4523195 1622.489   42.7928740
## 1993.112  -19.2137400 1623.234   42.8294421
## 1993.115  -17.7326663 1623.979   32.8735160
## 1993.119  -12.0115927 1624.724   30.0875898
## 1993.123  -12.4419476 1625.469   46.0430923
## 1993.127   -1.8423025 1626.214   25.2685947
## 1993.131   -0.4498003 1626.959   48.4212401
## 1993.135    8.4469876 1627.703   15.4495996
## 1993.138    8.7752041 1628.448   19.1265307
## 1993.142   12.7534207 1629.193   28.9534617
## 1993.146    9.9902086 1629.938   43.3718213
## 1993.150    2.4084251 1630.683   46.3187523
## 1993.154    3.2294988 1631.428   23.4328262
## 1993.158    6.1891438 1632.173   14.5583286
## 1993.162   -1.1583539 1632.917   30.2009739
## 1993.165    2.6341483 1633.662   43.7236193
## 1993.169    4.2066505 1634.407   52.7562646
## 1993.173    6.2720099 1635.152   60.0360527
## 1993.177   22.6902264 1635.897   31.8929838
## 1993.181   24.7270143 1636.642   24.0913433
## 1993.185   20.7680880 1637.386   27.9954172
## 1993.188   38.5563045 1638.131   25.5823482
## 1993.192   39.9359223 1639.650   32.3243723
## 1993.196   27.8826830 1641.168   45.4292535
## 1993.200   20.0451580 1642.686   45.9184204
## 1993.204   27.4590615 1644.205   17.0761588
## 1993.208   37.1429650 1645.723   22.1838971
## 1993.212   47.3682971 1647.241    5.6702069
## 1993.215   32.6936293 1648.760    8.2565167
## 1993.219   29.6275328 1650.278   16.4742550
## 1993.223   32.4628649 1651.797    2.3105648
## 1993.227   20.3553399 1653.315  -17.0802683
## 1993.231   20.2906720 1654.833  -21.9239585
## 1993.235   20.7088612 1656.352  -10.3405059
## 1993.238    8.7056219 1657.870   -3.3056247
## 1993.242   20.4080969 1659.388  -12.5364578
## 1993.246   26.7077147 1660.907  -12.4344337
## 1993.250   39.8787611 1662.425  -15.6638382
## 1993.254   53.0812361 1663.943  -40.1846713
## 1993.258   35.9451396 1665.462  -31.3669330
## 1993.262   29.4704717 1666.980  -39.3906232
## 1993.265   35.7800895 1668.499  -45.9185992
## 1993.269   30.9786819 1670.017  -33.3555496
## 1993.273   18.5815600 1671.535  -35.5167858
## 1993.277   29.2401523 1673.054  -44.1637363
## 1993.281   42.8601733 1674.572  -59.3021154
## 1993.285   72.0244799 1676.090  -89.9847801
## 1993.288   64.7530723 1677.609  -70.8217306
## 1993.292   68.0973789 1679.127  -72.2743954
## 1993.296   64.9059713 1680.645  -70.8813459
## 1993.300   63.2117065 1682.164  -66.7254392
## 1993.304   62.1360132 1683.682  -58.6781040
## 1993.308   70.6874627 1685.200  -75.8279116
## 1993.312   57.6531979 1686.719  -77.8820050
## 1993.315   51.2117903 1688.237  -59.4389554
## 1993.319   60.1546684 1689.756  -93.8801916
## 1993.323   62.1032607 1691.274 -109.8471421
## 1993.327   64.1761388 1692.792 -120.3783783
## 1993.331   56.7090169 1694.311 -120.1396145
## 1993.335   48.1590378 1695.829 -125.3879936
## 1993.338   26.1519159 1697.347  -96.6692298
## 1993.342    4.3733654 1698.866  -71.2390374
## 1993.346   23.7008852 1700.999 -104.7803811
## 1993.350   19.6055478 1703.133  -93.8588676
## 1993.354   35.8387819 1705.267 -123.3659256
## 1993.358   35.8234446 1707.401 -135.5244122
## 1993.362   58.9366786 1709.535 -152.0214702
## 1993.365   43.9299127 1711.669 -142.1385281
## 1993.369   49.3888611 1713.802 -130.2013004
## 1993.373   35.5049523 1715.936 -115.4212155
## 1993.377   52.6110435 1718.070 -138.3311306
## 1993.381   76.3114204 1720.204 -166.1453315
## 1993.385   68.4917974 1722.338 -171.5695323
## 1993.388   76.3493172 1724.472 -194.1808760
## 1993.392   68.7139798 1726.605 -188.6793626
## 1993.396   75.5857853 1728.739 -190.3449920
## 1993.400   66.6718765 1730.873 -188.9649071
## 1993.404   64.8708249 1733.007 -174.8276794
## 1993.408   77.0540590 1735.141 -195.0147374
## 1993.412   74.3172931 1737.275 -178.4117953
## 1993.415   71.8548128 1739.408 -184.0531390
## 1993.419   86.9751898 1741.542 -201.3073399
## 1993.423   94.9623091 1743.676 -213.0482831
## 1993.427   58.2494284 1745.810 -175.5292263
## 1993.431   65.6479763 1747.944 -183.0315981
## 1993.435   66.3536670 1750.077 -177.9611127
## 1993.438   75.3765006 1752.211 -166.7077702
## 1993.442   84.1436199 1754.345 -176.2087134
## 1993.446   91.6035964 1756.479 -168.3925138
## 1993.450   86.7664299 1758.613 -165.6891713
## 1993.454   99.6635493 1760.747 -174.5601145
## 1993.458   96.4978114 1762.880 -172.9382005
## 1993.462   96.0092164 1765.014 -176.4534295
## 1993.465   94.5806215 1767.148 -171.7986584
## 1993.469   96.7620265 1769.282 -184.5738873
## 1993.473   67.5248601 1771.416 -151.8005448
## 1993.477   56.4876937 1773.550 -132.7772023
## 1993.481   50.4676701 1775.683 -127.8210027
## 1993.485   70.4347894 1777.817 -157.2919459
## 1993.488   69.4376230 1779.951 -157.2286034
## 1993.492   59.6447423 1782.085 -142.2095466
## 1993.496   43.1900952 1784.219 -115.0787234
## 1993.500   55.3795008 1786.602 -138.9311932
## 1993.504   61.2914064 1788.985 -149.3461630
## 1993.508   68.4470620 1791.368 -161.4548828
## 1993.512   68.4527176 1793.751 -164.8136026
## 1993.515   70.8396232 1796.134 -172.1435724
## 1993.519   65.8590288 1798.517 -158.7160422
## 1993.523   80.3559344 1800.900 -141.7760121
## 1993.527   97.0990899 1803.283 -101.7522319
## 1993.531  107.7572455 1805.666 -115.0634517
## 1993.535  113.6216511 1808.049 -112.9309215
## 1993.538  116.5460567 1810.432 -120.4583913
## 1993.542  121.4679623 1812.815 -118.6533611
## 1993.546  111.2548679 1815.198 -119.3333309
## 1993.550  119.5630235 1817.582 -107.7845507
## 1993.554  124.1574291 1819.965 -109.0320206
## 1993.558  123.6293347 1822.348 -119.5269904
## 1993.562  131.1587403 1824.731 -134.6094602
## 1993.565  124.9506459 1827.114 -123.5344300
## 1993.569  121.8513015 1829.497 -120.7381498
## 1993.573  127.8069571 1831.880 -100.1968696
## 1993.577  149.3419066 1834.263 -137.5848834
## 1993.581  139.5631062 1836.646 -144.0091472
## 1993.585  122.1268057 1839.029 -137.7559109
## 1993.588  123.5592553 1841.412 -141.9014247
## 1993.592  103.2029548 1843.795 -128.8981885
## 1993.596  105.7816544 1846.178  -94.5999522
## 1993.600  120.7041039 1848.561 -108.0454660
## 1993.604  119.3703035 1850.944  -99.5147297
## 1993.608  107.0502530 1853.327  -81.4377435
## 1993.612   83.5064526 1855.711  -68.9770073
## 1993.615   74.2526521 1858.094  -67.8362710
## 1993.619   66.1976017 1860.477  -32.1142848
## 1993.623   62.8850512 1862.860  -17.0547986
## 1993.627   56.8662507 1865.243   -4.4190623
## 1993.631   11.6399503 1867.626   24.1741739
## 1993.635    2.5961498 1870.009   46.1449101
## 1993.638    9.2948494 1872.392   48.6031464
## 1993.642   -3.0802011 1874.775   66.0751326
## 1993.646   -0.9352515 1877.158   33.3071188
## 1993.650    9.1983160 1879.541    4.7404871
## 1993.654   21.5111144 1881.894    4.2452305
## 1993.658   29.9424842 1884.246    1.4014024
## 1993.662   28.9467112 1886.599  -24.9652828
## 1993.665   19.7537953 1888.951    0.8351749
## 1993.669   20.7808794 1891.303   17.4756326
## 1993.673    4.3793921 1893.656   33.8446617
## 1993.677    1.9264762 1896.008   25.7351193
## 1993.681  -15.4578683 1898.361   45.7270056
## 1993.685  -16.2693556 1900.713   35.9860347
## 1993.688   -8.3351287 1903.066   16.4193495
## 1993.692   -2.2109017 1905.418  -24.4373357
## 1993.696  -15.1466747 1907.771  -22.3040209
## 1993.700   -9.6881621 1910.123  -29.9749918
## 1993.704  -15.3982208 1912.476  -28.7973913
## 1993.708    2.8002919 1914.828  -43.2483622
## 1993.712   -3.4797669 1917.181  -44.4507617
## 1993.715  -19.3241114 1919.533  -47.3988754
## 1993.719  -37.0113130 1921.885  -22.2541320
## 1993.723  -47.4342289 1924.238    7.8663256
## 1993.727  -37.8171448 1926.590   33.9167833
## 1993.731  -25.8216862 1928.943   18.9288665
## 1993.735  -38.3876562 1931.295    6.6323783
## 1993.738  -38.9536262 1933.648    7.4458901
## 1993.742  -54.0253105 1936.000    8.2051161
## 1993.746  -48.5169948 1938.353   24.5643422
## 1993.750  -44.8129648 1940.705   19.7178540
## 1993.754  -42.7003634 1943.058    8.6127943
## 1993.758  -57.4649048 1945.410   22.2848775
## 1993.762  -55.6965891 1947.762   28.3941036
## 1993.765  -72.2268448 1950.115   57.1019011
## 1993.769  -63.6342434 1952.467   84.6168414
## 1993.773  -46.9587849 1954.820   86.2289247
## 1993.777  -47.3033263 1957.172   82.0810079
## 1993.781  -44.6650106 1959.525  100.8502339
## 1993.785  -30.6066949 1961.877   78.0094600
## 1993.788  -26.9940935 1964.230   66.8744004
## 1993.792  -42.9057778 1966.582   75.9236264
## 1993.796  -53.5274620 1968.935   79.9428525
## 1993.800  -43.2534321 1971.287   95.2263643
## 1993.804  -35.3808306 1973.640   93.9913046
## 1993.808  -35.9233354 1975.638   97.2158351
## 1993.812  -47.0601259 1977.635   99.2946513
## 1993.815  -51.9783449 1979.633  120.3948961
## 1993.819  -67.8937068 1981.631  169.8822837
## 1993.823  -71.2004973 1983.629  148.7510999
## 1993.827  -64.3087163 1985.627  127.4313447
## 1993.831  -79.1483639 1987.625  132.4930181
## 1993.835 -100.3880116 1989.623  164.4246914
## 1993.838  -99.2490877 1991.621  172.6077933
## 1993.842 -111.4287354 1993.619  186.3194667
## 1993.846 -142.5626687 1995.617  233.3454257
## 1993.850 -126.9794592 1997.615  215.5842419
## 1993.854 -134.4019639 1999.613  191.8887724
## 1993.858 -138.0644687 2001.611  150.1033029
## 1993.862 -127.8955449 2003.609  131.7864048
## 1993.865 -122.4880496 2005.607  157.6209353
## 1993.869 -112.3019829 2007.605  124.8068944
## 1993.873 -112.4259163 2009.603  124.6328535
## 1993.877 -131.8312782 2011.601  143.2902411
## 1993.881 -126.3352115 2013.599  159.9362001
## 1993.885 -117.2472854 2015.597  171.8202998
## 1993.888 -123.8022165 2017.595  176.3772566
## 1993.892 -124.0000048 2019.593  180.3970706
## 1993.896 -128.5177930 2021.591  179.0568846
## 1993.900 -125.1012955 2023.589  121.8724128
## 1993.904 -121.7990837 2025.587  124.2022268
## 1993.908 -129.8325862 2027.585  138.6977550
## 1993.912 -116.9589459 2029.583  145.1761404
## 1993.915 -118.6453056 2031.581  132.3145258
## 1993.919 -127.3059509 2033.579  145.8171969
## 1993.923 -128.1494535 2035.577  145.4927252
## 1993.927 -114.0543845 2037.575  166.2496820
## 1993.931 -104.7078871 2039.573  164.8952102
## 1993.935  -98.2556753 2041.571  184.9850242
## 1993.938  -76.7177492 2043.569  151.1591239
## 1993.942  -80.0726803 2045.567  161.8960807
## 1993.946  -83.1861828 2047.565  201.5716090
## 1993.950  -75.9125425 2049.563  192.9299944
## 1993.954  -82.0674736 2051.561  196.0069512
## 1993.958  -80.1366904 2053.558  190.4081937
## 1993.962  -82.9829081 2054.818  156.2346532
## 1993.965  -97.9419829 2056.078  171.3839698
## 1993.969 -110.4482006 2057.338  197.1404292
## 1993.973 -105.4772754 2058.598  201.6397458
## 1993.977 -107.6306359 2059.857  235.9533482
## 1993.981  -94.8425679 2061.117  217.5055219
## 1993.985  -84.7573570 2062.377  231.5505528
## 1993.988  -80.2507175 2063.637  244.2441551
## 1993.992  -91.2597923 2064.896  253.9934717
## 1993.996  -71.4945815 2066.156  272.0385026
## 1994.000  -75.3993706 2067.416  244.8935335
## 1994.004  -81.3098739 2068.676  242.2542787
## 1994.008  -80.6660916 2069.935  266.0207381
## 1994.012  -78.1351664 2071.195  262.2300547
## 1994.015  -57.7856698 2072.455  259.9507999
## 1994.019  -63.1704589 2073.715  239.3058308
## 1994.023  -66.2423909 2074.974  224.8780045
## 1994.027  -79.8543229 2076.234  224.2501783
## 1994.031  -55.7262548 2077.494  203.1823520
## 1994.035  -43.8939011 2078.754  190.1402401
## 1994.038  -49.3096073 2080.013  197.3961881
## 1994.042  -56.9510278 2081.273  157.7378504
## 1994.046  -65.7981626 2082.533  125.6352270
## 1994.050  -68.8167260 2083.793  136.0740321
## 1994.054  -74.3067180 2085.052  104.8142658
## 1994.058  -68.2724242 2086.312  112.3102139
## 1994.062  -71.8952733 2087.572  116.8433047
## 1994.065  -75.6638367 2088.832   85.1921099
## 1994.069  -69.8438286 2090.091   53.6923436
## 1994.073  -65.0281063 2091.351   80.9668631
## 1994.077  -63.5066696 2092.611   61.6756682
## 1994.081  -62.9609473 2093.871   97.7501877
## 1994.085  -60.6052250 2095.131   88.7847071
## 1994.088  -67.1366455 2096.390  127.3563694
## 1994.092  -56.2466374 2097.650  151.1966031
## 1994.096  -47.1123436 2098.910  130.0825511
## 1994.100  -34.9337642 2100.170  118.8142134
## 1994.104  -31.0537561 2101.429   66.7044472
## 1994.108  -21.4523195 2102.689   62.6632523
## 1994.112  -19.2137400 2103.949   10.3749146
## 1994.115  -17.7326663 2104.407   12.8958718
## 1994.119  -12.0115927 2104.865   23.5768289
## 1994.123  -12.4419476 2105.323   26.8092146
## 1994.127   -1.8423025 2105.781    4.8316003
## 1994.131   -0.4498003 2106.239   -3.8588711
## 1994.135    8.4469876 2106.697   15.5663718
## 1994.138    8.7752041 2107.155   19.3201861
## 1994.142   12.7534207 2107.613   41.9240004
## 1994.146    9.9902086 2108.071   15.7892432
## 1994.150    2.4084251 2108.529   -2.8769425
## 1994.154    3.2294988 2108.986    1.4240147
## 1994.158    6.1891438 2109.444   24.6164004
## 1994.162   -1.1583539 2109.902  -25.8440710
## 1994.165    2.6341483 2110.360  -37.6645425
## 1994.169    4.2066505 2110.818  -11.7850139
## 1994.173    6.2720099 2111.276  -60.3483425
## 1994.177   22.6902264 2111.734 -115.7345282
## 1994.181   24.7270143 2112.192  -92.4692853
## 1994.185   20.7680880 2112.650  -56.6583282
## 1994.188   38.5563045 2113.108  -19.5445139
## 1994.192   39.9359223 2113.566  -28.0321009
## 1994.196   27.8826830 2114.024  -23.8968308
## 1994.200   20.0451580 2114.482  -10.0172749
## 1994.204   27.4590615 2114.940  -40.5091477
## 1994.208   37.1429650 2115.398   16.8589796
## 1994.212   47.3682971 2115.856   15.6856783
## 1994.215   32.6936293 2116.314   19.1023770
## 1994.219   29.6275328 2116.772   14.0505042
## 1994.223   32.4628649 2117.230   -9.3027971
## 1994.227   20.3553399 2117.688   -7.4932412
## 1994.231   20.2906720 2118.146    3.2634575
## 1994.235   20.7088612 2118.604   23.6472990
## 1994.238    8.7056219 2119.062   16.5925691
## 1994.242   20.4080969 2119.520    4.0721250
## 1994.246   26.7077147 2119.978   21.0345380
## 1994.250   39.8787611 2120.436    2.5055224
## 1994.254   53.0812361 2120.894  -22.1349218
## 1994.258   35.9451396 2121.352  -14.4167945
## 1994.262   29.4704717 2121.810   -8.4000959
## 1994.265   35.7800895 2122.268  -15.1676829
## 1994.269   30.9786819 2122.226   23.8854070
## 1994.273   18.5815600 2122.184   44.1242111
## 1994.277   29.2401523 2122.143   51.1873009
## 1994.281   42.8601733 2122.101   38.2189622
## 1994.285   72.0244799 2122.059   30.7663377
## 1994.288   64.7530723 2122.018   24.4194275
## 1994.292   68.0973789 2121.976   25.1168031
## 1994.296   64.9059713 2121.934   11.3998929
## 1994.300   63.2117065 2121.892   26.8158399
## 1994.304   62.1360132 2121.851   34.3832154
## 1994.308   70.6874627 2121.809    1.3934481
## 1994.312   57.6531979 2121.767   14.6693951
## 1994.315   51.2117903 2121.726   21.4724849
## 1994.319   60.1546684 2121.684   36.2912891
## 1994.323   62.1032607 2121.642   24.9343789
## 1994.327   64.1761388 2121.601   55.5831830
## 1994.331   56.7090169 2121.559   78.7119871
## 1994.335   48.1590378 2121.517   68.1436484
## 1994.338   26.1519159 2121.476  104.8824525
## 1994.342    4.3733654 2121.434  140.9126852
## 1994.346   23.7008852 2121.392  116.6168476
## 1994.350   19.6055478 2121.351  100.8938672
## 1994.354   35.8387819 2121.309   92.6323153
## 1994.358   35.8234446 2121.267   76.4593348
## 1994.362   58.9366786 2121.226   38.6077829
## 1994.365   43.9299127 2121.184   76.2262311
## 1994.369   49.3888611 2121.142   77.4889649
## 1994.373   35.5049523 2121.100   91.4145559
## 1994.377   52.6110435 2121.059   83.6601469
## 1994.381   76.3114204 2121.017   75.6314521
## 1994.385   68.4917974 2120.975   78.6427574
## 1994.388   76.3493172 2120.934   56.9269198
## 1994.392   68.7139798 2120.892   56.1839393
## 1994.396   75.5857853 2120.850   42.5338160
## 1994.400   66.6718765 2120.809   51.4894070
## 1994.404   64.8708249 2120.767    2.3721408
## 1994.408   77.0540590 2120.725  -60.2194110
## 1994.412   74.3172931 2120.684  -49.0009629
## 1994.415   71.8548128 2120.642  -79.6968005
## 1994.419   86.9751898 2120.600  -77.8154952
## 1994.423   94.9623091 2120.394  -78.0158332
## 1994.427   58.2494284 2120.187  -64.8161711
## 1994.431   65.6479763 2119.980  -65.3979377
## 1994.435   66.3536670 2119.773  -27.2468470
## 1994.438   75.3765006 2119.566  -31.3528993
## 1994.442   84.1436199 2119.360  -71.7032372
## 1994.446   91.6035964 2119.153  -66.8264323
## 1994.450   86.7664299 2118.946  -74.5724846
## 1994.454   99.6635493 2118.739  -74.8228225
## 1994.458   96.4978114 2118.532 -130.6103033
## 1994.462   96.0092164 2118.326 -125.8949270
## 1994.465   94.5806215 2118.119 -139.4895507
## 1994.469   96.7620265 2117.912 -167.3841743
## 1994.473   67.5248601 2117.705 -153.4302266
## 1994.477   56.4876937 2117.499 -187.5662788
## 1994.481   50.4676701 2117.292 -210.6794739
## 1994.485   70.4347894 2117.085 -182.5898118
## 1994.488   69.4376230 2116.878 -153.7958641
## 1994.492   59.6447423 2116.671 -171.2462020
## 1994.496   43.1900952 2116.465 -159.1747736
## 1994.500   55.3795008 2116.258 -149.3873978
## 1994.504   61.2914064 2116.051 -134.8925220
## 1994.508   68.4470620 2115.844 -163.4413963
## 1994.512   68.4527176 2115.638 -143.4002705
## 1994.515   70.8396232 2115.431 -124.5703948
## 1994.519   65.8590288 2115.224 -146.4430190
## 1994.523   80.3559344 2115.017 -164.0431432
## 1994.527   97.0990899 2114.810 -162.8095175
## 1994.531  107.7572455 2114.604 -174.5308917
## 1994.535  113.6216511 2114.397 -158.5585159
## 1994.538  116.5460567 2114.190 -182.1661402
## 1994.542  121.4679623 2113.983 -184.2012644
## 1994.546  111.2548679 2113.777 -154.3213887
## 1994.550  119.5630235 2113.570 -129.5927629
## 1994.554  124.1574291 2113.363 -120.5603871
## 1994.558  123.6293347 2113.156 -106.9255114
## 1994.562  131.1587403 2112.949 -123.1381356
## 1994.565  124.9506459 2112.743 -110.9432599
## 1994.569  121.8513015 2112.536  -86.1571341
## 1994.573  127.8069571 2112.329  -95.9260083
## 1994.577  149.3419066 2112.058  -98.0800641
## 1994.581  139.5631062 2111.787 -115.4203698
## 1994.585  122.1268057 2111.516  -99.5231755
## 1994.588  123.5592553 2111.245  -82.6147312
## 1994.592  103.2029548 2110.975  -52.6775370
## 1994.596  105.7816544 2110.704  -22.8553427
## 1994.600  120.7041039 2110.433  -40.3068984
## 1994.604  119.3703035 2110.162  -52.8722041
## 1994.608  107.0502530 2109.891  -28.1312598
## 1994.612   83.5064526 2109.620  -10.8065656
## 1994.615   74.2526521 2109.349  -23.0418713
## 1994.619   66.1976017 2109.078   -8.7659270
## 1994.623   62.8850512 2108.807  -15.3824827
## 1994.627   56.8662507 2108.537  -31.6627884
## 1994.631   11.6399503 2108.266   14.4344058
## 1994.635    2.5961498 2107.995   42.0591001
## 1994.638    9.2948494 2107.724   49.5412944
## 1994.642   -3.0802011 2107.453   47.0672387
## 1994.646   -0.9352515 2107.182   37.5931830
## 1994.650    9.1983160 2106.911   -2.7394907
## 1994.654   21.5111144 2106.640   -6.9013953
## 1994.658   29.9424842 2106.369   -3.3318713
## 1994.662   28.9467112 2106.098   18.4347956
## 1994.665   19.7537953 2105.828   64.9986053
## 1994.669   20.7808794 2105.557   89.3824150
## 1994.673    4.3793921 2105.286   96.1547962
## 1994.677    1.9264762 2105.015  100.1486059
## 1994.681  -15.4578683 2104.744   96.4938442
## 1994.685  -16.2693556 2104.473  109.1762253
## 1994.688   -8.3351287 2104.202   77.7328922
## 1994.692   -2.2109017 2103.931   56.3495590
## 1994.696  -15.1466747 2103.660   79.1662259
## 1994.700   -9.6881621 2103.390   84.3986071
## 1994.704  -15.3982208 2103.119   67.8595596
## 1994.708    2.8002919 2102.848   50.1619408
## 1994.712   -3.4797669 2102.577   58.0528934
## 1994.715  -19.3241114 2102.306   35.1881317
## 1994.719  -37.0113130 2102.035   64.3362271
## 1994.723  -47.4342289 2101.764   43.1200368
## 1994.727  -37.8171448 2101.493   36.8738465
## 1994.731  -25.8216862 2101.161  -16.1896176
## 1994.735  -38.3876562 2100.829    4.7283468
## 1994.738  -38.9536262 2100.497   11.2663112
## 1994.742  -54.0253105 2100.165   51.1899899
## 1994.746  -48.5169948 2099.833    6.5136686
## 1994.750  -44.8129648 2099.501    2.2016330
## 1994.754  -42.7003634 2099.169   13.8910260
## 1994.758  -57.4649048 2098.837  -25.2924382
## 1994.762  -55.6965891 2098.505  -40.5087595
## 1994.765  -72.2268448 2098.173  -23.6465093
## 1994.769  -63.6342434 2097.841  -45.5371164
## 1994.773  -46.9587849 2097.509 -104.0605805
## 1994.777  -47.3033263 2097.177  -84.4640447
## 1994.781  -44.6650106 2096.845  -74.5103660
## 1994.785  -30.6066949 2096.513  -17.3466873
## 1994.788  -26.9940935 2096.181   18.5227057
## 1994.792  -42.9057778 2095.849   19.7363844
## 1994.796  -53.5274620 2095.517   66.0900631
## 1994.800  -43.2534321 2095.185   66.5880275
## 1994.804  -35.3808306 2094.853   36.1074205
## 1994.808  -35.9233354 2094.521   10.9819196
## 1994.812  -47.0601259 2094.189    8.8107045
## 1994.815  -51.9783449 2093.857    6.2709180
## 1994.819  -67.8937068 2093.525   -9.0317257
## 1994.823  -71.2004973 2093.193    0.6470591
## 1994.827  -64.3087163 2092.861  -32.7027274
## 1994.831  -79.1483639 2092.529   -3.9310854
## 1994.835 -100.3880116 2092.197   34.5605566
## 1994.838  -99.2490877 2091.865   72.2436272
## 1994.842 -111.4287354 2091.533   81.4752692
## 1994.846 -142.5626687 2091.201  117.5411970
## 1994.850 -126.9794592 2090.869   76.0199818
## 1994.854 -134.4019639 2090.537  105.2344810
## 1994.858 -138.0644687 2090.205  117.2489802
## 1994.862 -127.8955449 2089.873   81.3220507
## 1994.865 -122.4880496 2089.541   89.3065499
## 1994.869 -112.3019829 2089.210  113.8724776
## 1994.873 -112.4259163 2088.878  121.5884054
## 1994.877 -131.8312782 2088.546  116.9557617
## 1994.881 -126.3352115 2088.214  129.1616894
## 1994.885 -117.2472854 2088.012  141.4448295
## 1994.888 -123.8022165 2087.811  148.2008267
## 1994.892 -124.0000048 2087.610  128.3296811
## 1994.896 -128.5177930 2087.409  130.5885355
## 1994.900 -125.1012955 2087.208  135.0931041
## 1994.904 -121.7990837 2087.007  108.0819585
## 1994.908 -129.8325862 2086.806   83.0765271
## 1994.912 -116.9589459 2086.605   89.1439529
## 1994.915 -118.6453056 2086.404   88.5113787
## 1994.919 -127.3059509 2086.203   91.9230903
## 1994.923 -128.1494535 2086.002   78.3876589
## 1994.927 -114.0543845 2085.801   85.3336561
## 1994.931 -104.7078871 2085.600   64.6482248
## 1994.935  -98.2556753 2085.399   55.2370792
## 1994.938  -76.7177492 2085.198   58.7802192
## 1994.942  -80.0726803 2084.996   42.0662165
## 1994.946  -83.1861828 2084.795   42.4307851
## 1994.950  -75.9125425 2084.594   33.1682109
## 1994.954  -82.0674736 2084.393   21.8642082
## 1994.958  -80.1366904 2084.192   -0.4155089
## 1994.962  -82.9829081 2083.991   18.1217749
## 1994.965  -97.9419829 2083.790   55.0919159
## 1994.969 -110.4482006 2083.589   81.0891997
## 1994.973 -105.4772754 2083.388   91.9893407
## 1994.977 -107.6306359 2083.187   91.0337673
## 1994.981  -94.8425679 2082.986   92.0167654
## 1994.985  -84.7573570 2082.785   97.4726207
## 1994.988  -80.2507175 2082.584   99.9170474
## 1994.992  -91.2597923 2082.383  109.8571883
## 1994.996  -71.4945815 2082.182   90.2930436
## 1995.000  -75.3993706 2081.980  104.1888988
## 1995.004  -81.3098739 2081.779   96.8704684
## 1995.008  -80.6660916 2081.578   73.7677522
## 1995.012  -78.1351664 2081.377   94.2678931
## 1995.015  -57.7856698 2081.176   55.7994627
## 1995.019  -63.1704589 2080.975   51.1153179
## 1995.023  -66.2423909 2080.774   58.3683160
## 1995.027  -79.8543229 2080.573   50.7413141
## 1995.031  -55.7262548 2080.372   33.5543122
## 1995.035  -43.8939011 2080.171   17.1330246
## 1995.038  -49.3096073 2080.268   31.1216645
## 1995.042  -56.9510278 2080.365   38.3460187
## 1995.046  -65.7981626 2080.462   45.0160871
## 1995.050  -68.8167260 2080.559   52.3975842
## 1995.054  -74.3067180 2080.656   81.9005098
## 1995.058  -68.2724242 2080.753   68.9091496
## 1995.062  -71.8952733 2080.850   76.6649324
## 1995.065  -75.6638367 2080.947   74.3164294
## 1995.069  -69.8438286 2081.044   39.6593550
## 1995.073  -65.0281063 2081.142   -3.0834337
## 1995.077  -63.5066696 2081.239    9.9380633
## 1995.081  -62.9609473 2081.336    8.5952747
## 1995.085  -60.6052250 2081.433   19.9624860
## 1995.088  -67.1366455 2081.530   16.1668401
## 1995.092  -56.2466374 2081.627    1.2997657
## 1995.096  -47.1123436 2081.724   -9.7915944
## 1995.100  -34.9337642 2081.821    0.5527598
## 1995.104  -31.0537561 2081.918  -12.4043146
## 1995.108  -21.4523195 2082.015   17.3771824
## 1995.112  -19.2137400 2082.112   22.1815366
## 1995.115  -17.7326663 2082.209   28.5333966
## 1995.119  -12.0115927 2082.306   17.4852566
## 1995.123  -12.4419476 2082.403   47.8385451
## 1995.127   -1.8423025 2082.500   46.9018337
## 1995.131   -0.4498003 2082.598   36.8122651
## 1995.135    8.4469876 2082.695   37.1884108
## 1995.138    8.7752041 2082.792   43.9231280
## 1995.142   12.7534207 2082.889   16.4178451
## 1995.146    9.9902086 2082.986   26.3139908
## 1995.150    2.4084251 2083.083   16.4887080
## 1995.154    3.2294988 2083.180   15.4105680
## 1995.158    6.1891438 2083.277    6.7938565
## 1995.162   -1.1583539 2083.374   44.2242880
## 1995.165    2.6341483 2083.471   31.4847194
## 1995.169    4.2066505 2083.568   18.2751508
## 1995.173    6.2720099 2083.665    7.9127251
## 1995.177   22.6902264 2083.762   20.7574423
## 1995.181   24.7270143 2083.859    8.0535880
## 1995.185   20.7680880 2083.956  -10.5645520
## 1995.188   38.5563045 2084.054  -52.6598349
## 1995.192   39.9359223 2084.400  -83.0761653
## 1995.196   27.8826830 2084.747  -83.2496387
## 1995.200   20.0451580 2085.094 -115.9388262
## 1995.204   27.4590615 2085.440 -104.0494424
## 1995.208   37.1429650 2085.787 -148.7900586
## 1995.212   47.3682971 2086.134 -111.0021033
## 1995.215   32.6936293 2086.481 -123.9541481
## 1995.219   29.6275328 2086.827 -100.3047642
## 1995.223   32.4628649 2087.174 -140.1168090
## 1995.227   20.3553399 2087.521 -122.8859966
## 1995.231   20.2906720 2087.867 -124.0080413
## 1995.235   20.7088612 2088.214 -130.8529432
## 1995.238    8.7056219 2088.561 -162.1864165
## 1995.242   20.4080969 2088.908 -173.4456041
## 1995.246   26.7077147 2089.254 -187.1419345
## 1995.250   39.8787611 2089.601 -217.7796935
## 1995.254   53.0812361 2089.948 -224.1788811
## 1995.258   35.9451396 2090.294 -176.4794973
## 1995.262   29.4704717 2090.641 -205.4215420
## 1995.265   35.7800895 2090.988 -191.8078725
## 1995.269   30.9786819 2091.334 -156.6331775
## 1995.273   18.5815600 2091.681 -137.6727682
## 1995.277   29.2401523 2092.028 -144.7480732
## 1995.281   42.8601733 2092.375 -156.5248068
## 1995.285   72.0244799 2092.721 -183.9358260
## 1995.288   64.7530723 2093.068 -178.5611310
## 1995.292   68.0973789 2093.415 -170.4321503
## 1995.296   64.9059713 2093.761 -175.6774553
## 1995.300   63.2117065 2094.108 -174.3299032
## 1995.304   62.1360132 2094.455 -173.6009224
## 1995.308   70.6874627 2094.802 -210.8690846
## 1995.312   57.6531979 2095.148 -208.9215324
## 1995.315   51.2117903 2095.495 -191.3768374
## 1995.319   60.1546684 2095.842 -168.2964281
## 1995.323   62.1032607 2096.188 -179.3217331
## 1995.327   64.1761388 2096.535 -153.1413238
## 1995.331   56.7090169 2096.882 -125.0709145
## 1995.335   48.1590378 2097.229 -121.1376481
## 1995.338   26.1519159 2097.575 -105.7772388
## 1995.342    4.3733654 2097.922  -84.3454009
## 1995.346   23.7008852 2098.707  -85.9379279
## 1995.350   19.6055478 2099.492  -81.1075976
## 1995.354   35.8387819 2100.277 -101.9658388
## 1995.358   35.8234446 2101.062 -115.6655086
## 1995.362   58.9366786 2101.847 -130.1337498
## 1995.365   43.9299127 2102.632  -95.9019910
## 1995.369   49.3888611 2103.417  -88.3959465
## 1995.373   35.5049523 2104.202  -53.2970448
## 1995.377   52.6110435 2104.987  -55.1981432
## 1995.381   76.3114204 2105.772  -90.0835272
## 1995.385   68.4917974 2106.557  -65.6889113
## 1995.388   76.3493172 2107.342  -94.7014382
## 1995.392   68.7139798 2108.127  -93.0411080
## 1995.396   75.5857853 2108.912 -120.0779206
## 1995.400   66.6718765 2109.697  -79.4990189
## 1995.404   64.8708249 2110.482  -91.8029744
## 1995.408   77.0540590 2111.267  -82.4412156
## 1995.412   74.3172931 2112.052  -80.4894568
## 1995.415   71.8548128 2112.837 -118.9819837
## 1995.419   86.9751898 2113.622 -131.3373678
## 1995.423   94.9623091 2114.407 -127.9094942
## 1995.427   58.2494284 2115.192  -73.4916206
## 1995.431   65.6479763 2115.977  -62.3851756
## 1995.435   66.3536670 2116.762  -50.3958735
## 1995.438   75.3765006 2117.547  -60.2037142
## 1995.442   84.1436199 2118.332  -48.3058406
## 1995.446   91.6035964 2119.117  -74.0008242
## 1995.450   86.7664299 2119.902  -69.4586649
## 1995.454   99.6635493 2120.687 -113.1907913
## 1995.458   96.4978114 2121.472  -90.1800606
## 1995.462   96.0092164 2122.257  -94.0164728
## 1995.465   94.5806215 2123.042  -92.7828849
## 1995.469   96.7620265 2123.827  -89.8092971
## 1995.473   67.5248601 2124.612  -67.0771378
## 1995.477   56.4876937 2125.397  -27.7549785
## 1995.481   50.4676701 2126.182  -36.2899621
## 1995.485   70.4347894 2126.967  -52.5220885
## 1995.488   69.4376230 2127.752  -52.3099292
## 1995.492   59.6447423 2128.537  -43.3020556
## 1995.496   43.1900952 2129.322  -35.1524156
## 1995.500   55.3795008 2130.686  -57.0750885
## 1995.504   61.2914064 2132.049 -102.0402613
## 1995.508   68.4470620 2133.412 -107.1791842
## 1995.512   68.4527176 2134.775 -114.1881071
## 1995.515   70.8396232 2136.139 -107.2982799
## 1995.519   65.8590288 2137.502  -93.2309528
## 1995.523   80.3559344 2138.865 -101.5911256
## 1995.527   97.0990899 2140.228 -125.9775485
## 1995.531  107.7572455 2141.592  -85.9789713
## 1995.535  113.6216511 2142.955  -72.1866442
## 1995.538  116.5460567 2144.318  -66.7143170
## 1995.542  121.4679623 2145.682  -66.8294899
## 1995.546  111.2548679 2147.045  -64.5796628
## 1995.550  119.5630235 2148.408  -76.7210856
## 1995.554  124.1574291 2149.771  -72.5687585
## 1995.558  123.6293347 2151.135  -91.0539313
## 1995.562  131.1587403 2152.498  -88.3466042
## 1995.565  124.9506459 2153.861  -95.2917770
## 1995.569  121.8513015 2155.224  -80.5356999
## 1995.573  127.8069571 2156.588  -52.3746228
## 1995.577  149.3419066 2157.951  -75.0628396
## 1995.581  139.5631062 2159.314  -61.1473064
## 1995.585  122.1268057 2160.677  -43.4442732
## 1995.588  123.5592553 2162.041  -67.6899900
## 1995.592  103.2029548 2163.404  -44.0969568
## 1995.596  105.7816544 2164.767  -59.2889236
## 1995.600  120.7041039 2166.131  -37.2346404
## 1995.604  119.3703035 2167.494  -52.0041072
## 1995.608  107.0502530 2168.857  -39.2273240
## 1995.612   83.5064526 2170.220   -9.1667908
## 1995.615   74.2526521 2171.584   -8.9462577
## 1995.619   66.1976017 2172.947  -16.8644745
## 1995.623   62.8850512 2174.310   -0.4751913
## 1995.627   56.8662507 2175.673   -4.0996581
## 1995.631   11.6399503 2177.037   19.7333751
## 1995.635    2.5961498 2178.400   55.7339083
## 1995.638    9.2948494 2179.763   62.5819415
## 1995.642   -3.0802011 2181.126   75.8837247
## 1995.646   -0.9352515 2182.490   84.3055079
## 1995.650    9.1983160 2183.853   76.5486731
## 1995.654   21.5111144 2185.665   51.7935567
## 1995.658   29.9424842 2187.478   45.2398689
## 1995.662   28.9467112 2189.290   35.6733240
## 1995.665   19.7537953 2191.102   46.4839219
## 1995.669   20.7808794 2192.915   26.6145199
## 1995.673    4.3793921 2194.727   31.1636892
## 1995.677    1.9264762 2196.539   52.8342872
## 1995.681  -15.4578683 2198.352   51.3363137
## 1995.685  -16.2693556 2200.164   58.8654830
## 1995.688   -8.3351287 2201.976   69.4389381
## 1995.692   -2.2109017 2203.789   64.9923932
## 1995.696  -15.1466747 2205.601   75.9158482
## 1995.700   -9.6881621 2207.413   65.5450176
## 1995.704  -15.3982208 2209.225   72.9427584
## 1995.708    2.8002919 2211.038   54.4219277
## 1995.712   -3.4797669 2212.850   56.6996685
## 1995.715  -19.3241114 2214.662  105.3816950
## 1995.719  -37.0113130 2216.475  120.8265787
## 1995.723  -47.4342289 2218.287  134.7271766
## 1995.727  -37.8171448 2220.099  107.2077745
## 1995.731  -25.8216862 2221.912  110.5699980
## 1995.735  -38.3876562 2223.724  108.8136500
## 1995.738  -38.9536262 2225.536   89.1373021
## 1995.742  -54.0253105 2227.349   31.1166684
## 1995.746  -48.5169948 2229.161   32.3260347
## 1995.750  -44.8129648 2230.973   45.8596868
## 1995.754  -42.7003634 2232.786    0.8147674
## 1995.758  -57.4649048 2234.598    7.1069908
## 1995.762  -55.6965891 2236.410   20.5563572
## 1995.765  -72.2268448 2238.223   31.0142949
## 1995.769  -63.6342434 2240.035   20.6093755
## 1995.773  -46.9587849 2241.847   16.7115990
## 1995.777  -47.3033263 2243.660   -4.8161775
## 1995.781  -44.6650106 2245.472  -24.4568112
## 1995.785  -30.6066949 2247.284  -59.2674449
## 1995.788  -26.9940935 2249.096  -85.0923643
## 1995.792  -42.9057778 2250.909  -54.4429979
## 1995.796  -53.5274620 2252.721  -39.4636316
## 1995.800  -43.2534321 2254.533   -5.1699796
## 1995.804  -35.3808306 2256.346  -27.1148989
## 1995.808  -35.9233354 2258.140  -36.6969424
## 1995.812  -47.0601259 2259.935  -15.3047002
## 1995.815  -51.9783449 2261.729  -33.6610294
## 1995.819  -67.8937068 2263.524  -47.5102157
## 1995.823  -71.2004973 2265.318  -77.2579735
## 1995.827  -64.3087163 2267.113  -87.9243027
## 1995.831  -79.1483639 2268.908  -49.0192033
## 1995.835 -100.3880116 2270.702  -27.5741040
## 1995.838  -99.2490877 2272.497  -61.2375760
## 1995.842 -111.4287354 2274.291  -13.1524767
## 1995.846 -142.5626687 2276.086   32.2369084
## 1995.850 -126.9794592 2277.880   31.2091507
## 1995.854 -134.4019639 2279.675   35.2171072
## 1995.858 -138.0644687 2281.469   26.2850637
## 1995.862 -127.8955449 2283.264   13.2015916
## 1995.865 -122.4880496 2285.059   11.6995481
## 1995.869 -112.3019829 2286.853    9.4989332
## 1995.873 -112.4259163 2288.648    6.2483183
## 1995.877 -131.8312782 2290.442   16.1691320
## 1995.881 -126.3352115 2292.237   29.2485171
## 1995.885 -117.2472854 2294.031   20.5560428
## 1995.888 -123.8022165 2295.826   24.6164256
## 1995.892 -124.0000048 2297.620   25.6696656
## 1995.896 -128.5177930 2299.415   25.6929056
## 1995.900 -125.1012955 2301.209   27.9018598
## 1995.904 -121.7990837 2303.004   20.6950998
## 1995.908 -129.8325862 2304.799   19.5640541
## 1995.912 -116.9589459 2306.593    7.6258655
## 1995.915 -118.6453056 2308.388   21.1776769
## 1995.919 -127.3059509 2310.182   65.0937741
## 1995.923 -128.1494535 2311.977   59.0827283
## 1995.927 -114.0543845 2313.771   50.0331112
## 1995.931 -104.7078871 2315.566   44.0920655
## 1995.935  -98.2556753 2317.360   47.4553055
## 1995.938  -76.7177492 2319.155   18.6428312
## 1995.942  -80.0726803 2320.949   28.4632140
## 1995.946  -83.1861828 2322.744   35.3821683
## 1995.950  -75.9125425 2324.539   11.9939797
## 1995.954  -82.0674736 2326.333   33.4343625
## 1995.958  -80.1366904 2328.128   29.7090311
## 1995.962  -82.9829081 2329.556   32.0667137
## 1995.965  -97.9419829 2330.985   50.2172535
## 1995.969 -110.4482006 2332.413   64.2449362
## 1995.973 -105.4772754 2333.842   55.4754760
## 1995.977 -107.6306359 2335.270   12.6003015
## 1995.981  -94.8425679 2336.699   -0.4263015
## 1995.985  -84.7573570 2338.127   14.6999526
## 1995.988  -80.2507175 2339.556    9.0447781
## 1995.992  -91.2597923 2340.984   31.0853179
## 1995.996  -71.4945815 2342.413    9.8915720
## 1996.000  -75.3993706 2343.842   12.3678260
## 1996.004  -81.3098739 2345.270   16.4797944
## 1996.008  -80.6660916 2346.699    7.8674771
## 1996.012  -78.1351664 2348.127   -9.3019831
## 1996.015  -57.7856698 2349.556  -31.0800147
## 1996.019  -63.1704589 2350.984   19.8862393
## 1996.023  -66.2423909 2352.413   40.0096363
## 1996.027  -79.8543229 2353.841   58.8230332
## 1996.031  -55.7262548 2355.270   16.1164302
## 1996.035  -43.8939011 2356.698   23.9555414
## 1996.038  -49.3096073 2358.127   42.6527126
## 1996.042  -56.9510278 2359.555   37.7055981
## 1996.046  -65.7981626 2360.984   35.7941979
## 1996.050  -68.8167260 2362.412   60.2942262
## 1996.054  -74.3067180 2363.841   71.8456832
## 1996.058  -68.2724242 2365.270   82.4328544
## 1996.062  -71.8952733 2366.698   80.8271685
## 1996.065  -75.6638367 2368.127   97.1571968
## 1996.069  -69.8438286 2369.555  100.8686537
## 1996.073  -65.0281063 2370.984   85.7843964
## 1996.077  -63.5066696 2372.412   84.2144247
## 1996.081  -62.9609473 2373.841  125.8001674
## 1996.085  -60.6052250 2375.269  122.3559100
## 1996.088  -67.1366455 2376.698  140.1487955
## 1996.092  -56.2466374 2378.126  115.8202524
## 1996.096  -47.1123436 2379.555  123.6474236
## 1996.100  -34.9337642 2380.983  116.9503091
## 1996.104  -31.0537561 2382.412  121.1717661
## 1996.108  -21.4523195 2383.841   97.4217944
## 1996.112  -19.2137400 2385.269   50.7846799
## 1996.115  -17.7326663 2386.614   69.0987866
## 1996.119  -12.0115927 2387.959   66.4828934
## 1996.123  -12.4419476 2389.304   34.6284287
## 1996.127   -1.8423025 2390.648   46.2639640
## 1996.131   -0.4498003 2391.993   37.0466422
## 1996.135    8.4469876 2393.338   34.3050346
## 1996.138    8.7752041 2394.683   24.3119985
## 1996.142   12.7534207 2396.028   17.7289624
## 1996.146    9.9902086 2397.372   16.2373548
## 1996.150    2.4084251 2398.717  -13.5256813
## 1996.154    3.2294988 2400.062  -30.2815746
## 1996.158    6.1891438 2401.407   -6.0060393
## 1996.162   -1.1583539 2402.752   20.3366389
## 1996.165    2.6341483 2404.097   42.7893171
## 1996.169    4.2066505 2405.441   29.0819952
## 1996.173    6.2720099 2406.786   36.0318162
## 1996.177   22.6902264 2408.131   56.1287801
## 1996.181   24.7270143 2409.476   50.9771726
## 1996.185   20.7680880 2410.821   57.2612793
## 1996.188   38.5563045 2412.165   36.1082432
## 1996.192   39.9359223 2413.510   19.0738057
## 1996.196   27.8826830 2414.855   28.6422255
## 1996.200   20.0451580 2416.200   43.1349309
## 1996.204   27.4590615 2417.545    3.7962077
## 1996.208   37.1429650 2418.890  -36.3125154
## 1996.212   47.3682971 2420.234  -52.3126671
## 1996.215   32.6936293 2421.579  -37.2728189
## 1996.219   29.6275328 2422.924  -20.0915420
## 1996.223   32.4628649 2424.269    1.2683063
## 1996.227   20.3553399 2425.614   26.5810117
## 1996.231   20.2906720 2426.958   37.4908600
## 1996.235   20.7088612 2428.303   42.7178511
## 1996.238    8.7056219 2429.648   66.9662708
## 1996.242   20.4080969 2430.993   28.4389762
## 1996.246   26.7077147 2432.338   55.7545388
## 1996.250   39.8787611 2433.683   32.2186728
## 1996.254   53.0812361 2435.027   35.7013782
## 1996.258   35.9451396 2436.372   30.6226551
## 1996.262   29.4704717 2437.717   22.1625033
## 1996.265   35.7800895 2439.062   25.9080659
## 1996.269   30.9786819 2440.750   36.3814154
## 1996.273   18.5815600 2442.438   28.5004791
## 1996.277   29.2401523 2444.126   25.3838286
## 1996.281   42.8601733 2445.814   10.0757495
## 1996.285   72.0244799 2447.502  -20.7766153
## 1996.288   64.7530723 2449.190   -3.1332659
## 1996.292   68.0973789 2450.878    6.6143693
## 1996.296   64.9059713 2452.566   -9.3522812
## 1996.300   63.2117065 2454.254    9.2739254
## 1996.304   62.1360132 2455.942   22.7115606
## 1996.308   70.6874627 2457.630   19.0020529
## 1996.312   57.6531979 2459.319    2.8482595
## 1996.315   51.2117903 2461.007   11.9616090
## 1996.319   60.1546684 2462.695   13.0106727
## 1996.323   62.1032607 2464.383   22.7840222
## 1996.327   64.1761388 2466.071   18.8730860
## 1996.331   56.7090169 2467.759    0.3721497
## 1996.335   48.1590378 2469.447   21.0740706
## 1996.338   26.1519159 2471.135   42.5931344
## 1996.342    4.3733654 2472.823   28.7736267
## 1996.346   23.7008852 2474.511   -5.5819513
## 1996.350   19.6055478 2476.199   -3.1746721
## 1996.354   35.8387819 2477.887  -48.2359643
## 1996.358   35.8234446 2479.575  -42.9686851
## 1996.362   58.9366786 2481.263  -66.6799774
## 1996.365   43.9299127 2482.951  -50.0912696
## 1996.369   49.3888611 2484.639  -67.8182762
## 1996.373   35.5049523 2486.327  -51.2624255
## 1996.377   52.6110435 2488.016  -41.6065749
## 1996.381   76.3114204 2489.704  -69.6850100
## 1996.385   68.4917974 2491.392  -31.6834451
## 1996.388   76.3493172 2493.080  -35.0290231
## 1996.392   68.7139798 2494.768  -29.0817439
## 1996.396   75.5857853 2496.456  -19.7516076
## 1996.400   66.6718765 2498.144  -22.8357570
## 1996.404   64.8708249 2499.832   -0.5827635
## 1996.408   77.0540590 2501.520  -29.7840557
## 1996.412   74.3172931 2503.208  -30.9753480
## 1996.415   71.8548128 2504.896  -27.2209259
## 1996.419   86.9751898 2506.584  -44.0293610
## 1996.423   94.9623091 2508.785  -44.5974180
## 1996.427   58.2494284 2510.986  -20.7054750
## 1996.431   65.6479763 2513.187  -43.0549605
## 1996.435   66.3536670 2515.388  -57.9315889
## 1996.438   75.3765006 2517.589  -48.9753601
## 1996.442   84.1436199 2519.790  -53.5134171
## 1996.446   91.6035964 2521.991  -62.5643312
## 1996.450   86.7664299 2524.192  -51.9381025
## 1996.454   99.6635493 2526.393  -90.0261594
## 1996.458   96.4978114 2528.594  -72.1313593
## 1996.462   96.0092164 2530.794  -55.7037019
## 1996.465   94.5806215 2532.995  -57.6760446
## 1996.469   96.7620265 2535.196  -65.8283873
## 1996.473   67.5248601 2537.397  -60.0221586
## 1996.477   56.4876937 2539.598  -46.3759298
## 1996.481   50.4676701 2541.799  -38.1468439
## 1996.485   70.4347894 2544.000  -68.3949009
## 1996.488   69.4376230 2546.201  -83.4186721
## 1996.492   59.6447423 2548.402  -60.2667291
## 1996.496   43.1900952 2550.603  -31.6030196
## 1996.500   55.3795008 2552.804  -29.8233629
## 1996.504   61.2914064 2555.005  -44.2362061
## 1996.508   68.4470620 2557.206  -73.8527994
## 1996.512   68.4527176 2559.407  -57.4193927
## 1996.515   70.8396232 2561.608  -59.0072359
## 1996.519   65.8590288 2563.809  -64.3475792
## 1996.523   80.3559344 2566.009  -80.0454224
## 1996.527   97.0990899 2568.210  -86.5695157
## 1996.531  107.7572455 2570.411 -109.3786089
## 1996.535  113.6216511 2572.612 -124.7239522
## 1996.538  116.5460567 2574.813 -129.1192954
## 1996.542  121.4679623 2577.014 -125.4821387
## 1996.546  111.2548679 2579.215 -128.5199819
## 1996.550  119.5630235 2581.416 -152.0090752
## 1996.554  124.1574291 2583.617 -178.2744185
## 1996.558  123.6293347 2585.818 -233.4672617
## 1996.562  131.1587403 2588.019 -221.4876050
## 1996.565  124.9506459 2590.220 -209.6104482
## 1996.569  121.8513015 2592.421 -215.9220415
## 1996.573  127.8069571 2594.622 -254.1086347
## 1996.577  149.3419066 2597.480 -258.0021366
## 1996.581  139.5631062 2600.339 -280.7718886
## 1996.585  122.1268057 2603.197 -260.8141405
## 1996.588  123.5592553 2606.056 -260.1051424
## 1996.592  103.2029548 2608.914 -239.8673943
## 1996.596  105.7816544 2611.773 -250.7146462
## 1996.600  120.7041039 2614.632 -243.8356481
## 1996.604  119.3703035 2617.490 -232.7004001
## 1996.608  107.0502530 2620.349 -207.1389020
## 1996.612   83.5064526 2623.207 -186.1936539
## 1996.615   74.2526521 2626.066 -172.5884058
## 1996.619   66.1976017 2628.924 -153.7119077
## 1996.623   62.8850512 2631.783 -160.0379096
## 1996.627   56.8662507 2634.641 -158.5476616
## 1996.631   11.6399503 2637.500 -119.9999135
## 1996.635    2.5961498 2640.359  -97.3046654
## 1996.638    9.2948494 2643.217 -107.9019173
## 1996.642   -3.0802011 2646.076 -100.2454192
## 1996.646   -0.9352515 2648.934  -80.0389211
## 1996.650    9.1983160 2651.793 -104.7410410
## 1996.654   21.5111144 2654.651 -114.0423918
## 1996.658   29.9424842 2657.510 -153.0123140
## 1996.662   28.9467112 2660.368 -129.8950933
## 1996.665   19.7537953 2663.227 -120.8607298
## 1996.669   20.7808794 2666.085 -132.4463662
## 1996.673    4.3793921 2668.944 -109.7334313
## 1996.677    1.9264762 2671.803 -117.0890678
## 1996.681  -15.4578683 2674.661 -110.3632757
## 1996.685  -16.2693556 2677.520 -126.7603407
## 1996.688   -8.3351287 2680.378 -133.7031200
## 1996.692   -2.2109017 2683.237 -152.2958994
## 1996.696  -15.1466747 2686.095 -144.7686787
## 1996.700   -9.6881621 2688.954 -146.7157437
## 1996.704  -15.3982208 2691.812 -133.6742374
## 1996.708    2.8002919 2694.671 -147.7613024
## 1996.712   -3.4797669 2697.530 -125.2797960
## 1996.715  -19.3241114 2700.388 -112.3640039
## 1996.719  -37.0113130 2703.247  -78.1953547
## 1996.723  -47.4342289 2706.105  -44.1709912
## 1996.727  -37.8171448 2708.964  -40.9066276
## 1996.731  -25.8216862 2712.625  -60.3735894
## 1996.735  -38.3876562 2716.287  -56.6991225
## 1996.738  -38.9536262 2719.948  -55.5346557
## 1996.742  -54.0253105 2723.610  -28.0844745
## 1996.746  -48.5169948 2727.271  -54.5742934
## 1996.750  -44.8129648 2730.933  -42.6998266
## 1996.754  -42.7003634 2734.594  -28.7939311
## 1996.758  -57.4649048 2738.256  -15.8308929
## 1996.762  -55.6965891 2741.917  -26.3607117
## 1996.765  -72.2268448 2745.579  -17.8619592
## 1996.769  -63.6342434 2749.240  -31.2660637
## 1996.773  -46.9587849 2752.902  -20.6530255
## 1996.777  -47.3033263 2756.563  -23.9699872
## 1996.781  -44.6650106 2760.225  -11.3098061
## 1996.785  -30.6066949 2763.886  -28.0696249
## 1996.788  -26.9940935 2767.548  -37.9537295
## 1996.792  -42.9057778 2771.209  -43.0735484
## 1996.796  -53.5274620 2774.871  -37.8233672
## 1996.800  -43.2534321 2778.532  -42.5889004
## 1996.804  -35.3808306 2782.194  -45.9830050
## 1996.808  -35.9233354 2785.855  -31.2020034
## 1996.812  -47.0601259 2789.517  -37.3967161
## 1996.815  -51.9783449 2793.178  -23.7000002
## 1996.819  -67.8937068 2796.840   -1.3861415
## 1996.823  -71.2004973 2800.501    4.3691459
## 1996.827  -64.3087163 2804.163  -18.1141383
## 1996.831  -79.1483639 2807.824  -49.7859938
## 1996.835 -100.3880116 2811.486  -29.1578494
## 1996.838  -99.2490877 2815.147  -25.1082763
## 1996.842 -111.4287354 2818.809   -4.0501319
## 1996.846 -142.5626687 2822.470   -4.4077017
## 1996.850 -126.9794592 2826.132  -34.4324144
## 1996.854 -134.4019639 2829.793  -23.9914128
## 1996.858 -138.0644687 2833.455  -25.2004112
## 1996.862 -127.8955449 2837.116  -30.4908382
## 1996.865 -122.4880496 2840.778   -2.1298366
## 1996.869 -112.3019829 2844.439    3.1425936
## 1996.873 -112.4259163 2848.101  -11.4249763
## 1996.877 -131.8312782 2851.762   12.3588825
## 1996.881 -126.3352115 2855.424    1.3513126
## 1996.885 -117.2472854 2860.155   21.0919714
## 1996.888 -123.8022165 2864.887   29.5254873
## 1996.892 -124.0000048 2869.618   38.7718603
## 1996.896 -128.5177930 2874.350   54.7682333
## 1996.900 -125.1012955 2879.081   14.7003206
## 1996.904 -121.7990837 2883.812   19.5266936
## 1996.908 -129.8325862 2888.544    7.3687809
## 1996.912 -116.9589459 2893.275  -11.0262746
## 1996.915 -118.6453056 2898.007   -9.8913302
## 1996.919 -127.3059509 2902.738   25.0879000
## 1996.923 -128.1494535 2907.469   29.2999873
## 1996.927 -114.0543845 2912.201   -4.2864968
## 1996.931 -104.7078871 2916.932   17.4555905
## 1996.935  -98.2556753 2921.664   25.4319635
## 1996.938  -76.7177492 2926.395    3.7826222
## 1996.942  -80.0726803 2931.127   49.7061381
## 1996.946  -83.1861828 2935.858   28.2182254
## 1996.950  -75.9125425 2940.589   29.7531699
## 1996.954  -82.0674736 2945.321  -30.7233143
## 1996.958  -80.1366904 2950.052    0.3844873
## 1996.962  -82.9829081 2954.784   19.1492898
## 1996.965  -97.9419829 2959.515  -25.2130506
## 1996.969 -110.4482006 2964.246   -6.8582481
## 1996.973 -105.4772754 2968.978  -47.7305885
## 1996.977 -107.6306359 2973.709  -24.9186432
## 1996.981  -94.8425679 2978.441  -75.0981264
## 1996.985  -84.7573570 2983.172  -84.1847525
## 1996.988  -80.2507175 2987.904  -82.8228072
## 1996.992  -91.2597923 2992.635  -65.8351476
## 1996.996  -71.4945815 2997.366  -81.7817737
## 1997.000  -75.3993706 3002.098  -82.6083998
## 1997.004  -81.3098739 3006.829  -81.4293116
## 1997.008  -80.6660916 3011.561  -86.8045092
## 1997.012  -78.1351664 3016.292  -78.9368496
## 1997.015  -57.7856698 3021.023  -83.1677614
## 1997.019  -63.1704589 3025.755  -82.5143875
## 1997.023  -66.2423909 3030.486  -84.1738707
## 1997.027  -79.8543229 3035.218 -134.5533540
## 1997.031  -55.7262548 3039.949 -120.9628372
## 1997.035  -43.8939011 3044.681 -110.5866062
## 1997.038  -49.3096073 3050.326 -124.6763052
## 1997.042  -56.9510278 3055.971  -94.9402899
## 1997.046  -65.7981626 3061.617  -59.1285603
## 1997.050  -68.8167260 3067.262  -82.6354021
## 1997.054  -74.3067180 3072.908  -41.8208154
## 1997.058  -68.2724242 3078.553  -31.4405144
## 1997.062  -71.8952733 3084.198  -35.7430705
## 1997.065  -75.6638367 3089.844  -18.0599124
## 1997.069  -69.8438286 3095.489  -18.7753256
## 1997.073  -65.0281063 3101.135  -36.9164532
## 1997.077  -63.5066696 3106.780  -42.6132950
## 1997.081  -62.9609473 3112.425  -22.8344226
## 1997.085  -60.6052250 3118.071  -20.1855502
## 1997.088  -67.1366455 3123.716  -73.9495349
## 1997.092  -56.2466374 3129.362  -80.5649481
## 1997.096  -47.1123436 3135.007  -59.6246471
## 1997.100  -34.9337642 3140.652 -107.7686318
## 1997.104  -31.0537561 3146.298  -96.6640451
## 1997.108  -21.4523195 3151.943  -92.7908869
## 1997.112  -19.2137400 3157.589  -73.6748716
## 1997.115  -17.7326663 3163.234  -78.0213505
## 1997.119  -12.0115927 3168.879  -42.1378294
## 1997.123  -12.4419476 3174.525  -37.3028797
## 1997.127   -1.8423025 3180.170  -16.9679300
## 1997.131   -0.4498003 3185.816    0.3541626
## 1997.135    8.4469876 3191.461   -8.4580306
## 1997.138    8.7752041 3197.106    5.1283477
## 1997.142   12.7534207 3202.752   41.3547260
## 1997.146    9.9902086 3208.397   30.7825328
## 1997.150    2.4084251 3214.043   43.8489111
## 1997.154    3.2294988 3219.688    7.9124322
## 1997.158    6.1891438 3225.333  -22.4826181
## 1997.162   -1.1583539 3230.979  -32.7305255
## 1997.165    2.6341483 3236.624  -35.4684330
## 1997.169    4.2066505 3242.270  -65.8463404
## 1997.173    6.2720099 3247.915  -20.8471050
## 1997.177   22.6902264 3253.561  -31.2307268
## 1997.181   24.7270143 3259.206  -11.3529199
## 1997.185   20.7680880 3264.851  -24.5793988
## 1997.188   38.5563045 3270.497  -50.3130205
## 1997.192   39.9359223 3276.139   29.0148875
## 1997.196   27.8826830 3281.782   65.7856526
## 1997.200   20.0451580 3287.424   89.0807034
## 1997.204   27.4590615 3293.067   98.9843257
## 1997.208   37.1429650 3298.709   90.9179480
## 1997.212   47.3682971 3304.352   79.2301416
## 1997.215   32.6936293 3309.994   39.7123353
## 1997.219   29.6275328 3315.637   22.5559576
## 1997.223   32.4628649 3321.279   50.5481513
## 1997.227   20.3553399 3326.921  -10.1667979
## 1997.231   20.2906720 3332.564  -63.2646042
## 1997.235   20.7088612 3338.206  -53.1952676
## 1997.238    8.7056219 3343.849 -105.5245025
## 1997.242   20.4080969 3349.491  -81.3794517
## 1997.246   26.7077147 3355.134  -79.2715437
## 1997.250   39.8787611 3360.776  -25.7250643
## 1997.254   53.0812361 3366.419   19.7199865
## 1997.258   35.9451396 3372.061   -0.1763912
## 1997.262   29.4704717 3377.704    0.6558025
## 1997.265   35.7800895 3383.346  -11.2962895
## 1997.269   30.9786819 3388.989 -138.5073561
## 1997.273   18.5815600 3394.631 -202.2727084
## 1997.277   29.2401523 3400.274 -216.6937749
## 1997.281   42.8601733 3405.916 -213.4262701
## 1997.285   72.0244799 3411.559 -140.8130509
## 1997.288   64.7530723 3417.201 -153.8241175
## 1997.292   68.0973789 3422.844 -126.1808983
## 1997.296   64.9059713 3428.486 -140.8119649
## 1997.300   63.2117065 3434.128 -178.1001743
## 1997.304   62.1360132 3439.771 -204.3869552
## 1997.308   70.6874627 3445.413 -146.8408789
## 1997.312   57.6531979 3451.056 -161.1690883
## 1997.315   51.2117903 3456.698 -146.1101549
## 1997.319   60.1546684 3462.341 -161.2955071
## 1997.323   62.1032607 3467.983 -201.6765737
## 1997.327   64.1761388 3473.626 -188.9019260
## 1997.331   56.7090169 3479.268 -169.1072783
## 1997.335   48.1590378 3484.911 -136.5797734
## 1997.338   26.1519159 3490.553 -159.1351257
## 1997.342    4.3733654 3496.196 -127.6090494
## 1997.346   23.7008852 3501.366  -99.2068405
## 1997.350   19.6055478 3506.536  -88.0517745
## 1997.354   35.8387819 3511.706 -109.4552799
## 1997.358   35.8234446 3516.877  -61.6202139
## 1997.362   58.9366786 3522.047  -15.2937193
## 1997.365   43.9299127 3527.217  -22.6272247
## 1997.369   49.3888611 3532.388  -44.3264444
## 1997.373   35.5049523 3537.558  -35.6128070
## 1997.377   52.6110435 3542.728  -62.1291696
## 1997.381   76.3114204 3547.898  -31.0698178
## 1997.385   68.4917974 3553.069  -62.2704661
## 1997.388   76.3493172 3558.239  -46.0182572
## 1997.392   68.7139798 3563.409  -67.2731912
## 1997.396   75.5857853 3568.579  -74.9052681
## 1997.400   66.6718765 3573.750  -71.1616306
## 1997.404   64.8708249 3578.920 -127.5908503
## 1997.408   77.0540590 3584.090  -60.7443557
## 1997.412   74.3172931 3589.261  -88.1378612
## 1997.415   71.8548128 3594.431  -44.5656523
## 1997.419   86.9751898 3599.601  -17.2663006
## 1997.423   94.9623091 3604.771  -34.3036912
## 1997.427   58.2494284 3609.942  -41.5910819
## 1997.431   65.6479763 3615.112  -45.3799011
## 1997.435   66.3536670 3620.282 -123.9058632
## 1997.438   75.3765006 3625.452 -104.4289681
## 1997.442   84.1436199 3630.623  -59.1763587
## 1997.446   91.6035964 3635.793  -75.8066065
## 1997.450   86.7664299 3640.963  -43.1297115
## 1997.454   99.6635493 3646.134  -45.2671021
## 1997.458   96.4978114 3651.304  -79.1916356
## 1997.462   96.0092164 3656.474  -81.3233120
## 1997.465   94.5806215 3661.644  -84.3549883
## 1997.469   96.7620265 3666.815  -26.4166647
## 1997.473   67.5248601 3671.985   12.8602304
## 1997.477   56.4876937 3677.155   16.3771254
## 1997.481   50.4676701 3682.325  -11.6131223
## 1997.485   70.4347894 3687.496  -27.3705130
## 1997.488   69.4376230 3692.666   15.4563821
## 1997.492   59.6447423 3697.836   31.0589914
## 1997.496   43.1900952 3703.007    2.5933672
## 1997.500   55.3795008 3708.155   -2.4648088
## 1997.504   61.2914064 3713.304   44.9245153
## 1997.508   68.4470620 3718.453   33.2600893
## 1997.512   68.4527176 3723.602   17.8656633
## 1997.515   70.8396232 3728.750  -32.7000126
## 1997.519   65.8590288 3733.899   35.0818114
## 1997.523   80.3559344 3739.048   48.1261354
## 1997.527   97.0990899 3744.197   98.4342094
## 1997.531  107.7572455 3749.345   89.6272835
## 1997.535  113.6216511 3754.494  135.2341075
## 1997.538  116.5460567 3759.643  153.9109315
## 1997.542  121.4679623 3764.792  140.7102556
## 1997.546  111.2548679 3769.941  119.4545796
## 1997.550  119.5630235 3775.089  179.6476536
## 1997.554  124.1574291 3780.238  237.7944776
## 1997.558  123.6293347 3785.387  230.6638017
## 1997.562  131.1587403 3790.536  301.9956257
## 1997.565  124.9506459 3795.684  283.2749497
## 1997.569  121.8513015 3800.833  209.2555238
## 1997.573  127.8069571 3805.982  206.1710978
## 1997.577  149.3419066 3811.131  337.1673779
## 1997.581  139.5631062 3816.279  428.9774079
## 1997.585  122.1268057 3821.428  376.9649380
## 1997.588  123.5592553 3826.577  418.4037181
## 1997.592  103.2029548 3831.726  465.3712482
## 1997.596  105.7816544 3836.875  435.0437782
## 1997.600  120.7041039 3842.023  495.9325583
## 1997.604  119.3703035 3847.172  438.9775884
## 1997.608  107.0502530 3852.321  377.6088685
## 1997.612   83.5064526 3857.470  361.5238985
## 1997.615   74.2526521 3862.618  388.9889286
## 1997.619   66.1976017 3867.767  430.2852087
## 1997.623   62.8850512 3872.916  492.2789888
## 1997.627   56.8662507 3878.065  407.3790188
## 1997.631   11.6399503 3883.214  438.2965489
## 1997.635    2.5961498 3888.362  486.5515790
## 1997.638    9.2948494 3893.511  334.2541091
## 1997.642   -3.0802011 3898.660  299.9503891
## 1997.646   -0.9352515 3903.809  174.7166692
## 1997.650    9.1983160 3908.957  162.3943313
## 1997.654   21.5111144 3914.735  254.2036515
## 1997.658   29.9424842 3920.513  301.4744002
## 1997.662   28.9467112 3926.291  249.5722918
## 1997.665   19.7537953 3932.069  138.3173262
## 1997.669   20.7808794 3937.847  118.1223607
## 1997.673    4.3793921 3943.625   45.6959665
## 1997.677    1.9264762 3949.403   40.7010010
## 1997.681  -15.4578683 3955.180  -42.2925360
## 1997.685  -16.2693556 3960.958  -24.8989301
## 1997.688   -8.3351287 3966.736   43.4089614
## 1997.692   -2.2109017 3972.514  156.9768530
## 1997.696  -15.1466747 3978.292   98.9847446
## 1997.700   -9.6881621 3984.070  119.0483505
## 1997.704  -15.3982208 3989.848   99.2605278
## 1997.708    2.8002919 3995.626  132.8341337
## 1997.712   -3.4797669 4001.403  106.6463110
## 1997.715  -19.3241114 4007.181   40.1427740
## 1997.719  -37.0113130 4012.959  -85.7079059
## 1997.723  -47.4342289 4018.737 -174.6928714
## 1997.727  -37.8171448 4024.515 -117.1678370
## 1997.731  -25.8216862 4030.293   -8.7811770
## 1997.735  -38.3876562 4036.071  -27.2430885
## 1997.738  -38.9536262 4041.849    1.1450001
## 1997.742  -54.0253105 4047.627  -10.5411971
## 1997.746  -48.5169948 4053.404   91.9626058
## 1997.750  -44.8129648 4059.182   77.4006943
## 1997.754  -42.7003634 4064.960  128.6902115
## 1997.758  -57.4649048 4070.738   91.6568715
## 1997.762  -55.6965891 4076.516  114.2706743
## 1997.765  -72.2268448 4082.294  106.4530486
## 1997.769  -63.6342434 4088.072  130.4525657
## 1997.773  -46.9587849 4093.850  216.0892257
## 1997.777  -47.3033263 4099.627  213.8458857
## 1997.781  -44.6650106 4105.405  205.4296885
## 1997.785  -30.6066949 4111.183  245.7734913
## 1997.788  -26.9940935 4116.961  221.1630085
## 1997.792  -42.9057778 4122.739  187.5668113
## 1997.796  -53.5274620 4128.517  104.9306141
## 1997.800  -43.2534321 4134.295   73.5787027
## 1997.804  -35.3808306 4140.073  120.5782198
## 1997.808  -35.9233354 4146.978  104.1757262
## 1997.812  -47.0601259 4153.883   61.7975184
## 1997.815  -51.9783449 4160.788   41.1107391
## 1997.819  -67.8937068 4167.693  -50.6388974
## 1997.823  -71.2004973 4174.598  -34.1471053
## 1997.827  -64.3087163 4181.503   55.2761154
## 1997.831  -79.1483639 4188.408   15.6007647
## 1997.835 -100.3880116 4195.313 -118.5445860
## 1997.838  -99.2490877 4202.218 -121.5285082
## 1997.842 -111.4287354 4209.123 -226.3038589
## 1997.846 -142.5626687 4216.028 -427.7749239
## 1997.850 -126.9794592 4222.933 -289.2931318
## 1997.854 -134.4019639 4229.838 -346.5556254
## 1997.858 -138.0644687 4236.743 -345.0181190
## 1997.862 -127.8955449 4243.648 -268.0220412
## 1997.865 -122.4880496 4250.553 -343.2645348
## 1997.869 -112.3019829 4257.458 -303.7655998
## 1997.873 -112.4259163 4264.363 -338.0566648
## 1997.877 -131.8312782 4271.268 -424.0563012
## 1997.881 -126.3352115 4278.173 -423.4673663
## 1997.885 -117.2472854 4285.078 -433.0402907
## 1997.888 -123.8022165 4291.983 -470.7003579
## 1997.892 -124.0000048 4298.888 -472.9475680
## 1997.896 -128.5177930 4305.793 -500.6247782
## 1997.900 -125.1012955 4312.698 -370.8862740
## 1997.904 -121.7990837 4319.603 -353.6634841
## 1997.908 -129.8325862 4326.508 -319.7749799
## 1997.912 -116.9589459 4333.413 -284.6436186
## 1997.915 -118.6453056 4340.318 -279.7622573
## 1997.919 -127.3059509 4347.223 -387.8166103
## 1997.923 -128.1494535 4354.128 -375.8381061
## 1997.927 -114.0543845 4361.033 -320.0481734
## 1997.931 -104.7078871 4367.938 -301.2596692
## 1997.935  -98.2556753 4374.843 -304.5068793
## 1997.938  -76.7177492 4381.748 -179.1098037
## 1997.942  -80.0726803 4388.653 -212.1798710
## 1997.946  -83.1861828 4395.558 -237.8213668
## 1997.950  -75.9125425 4402.463 -166.8300055
## 1997.954  -82.0674736 4409.368 -135.4900728
## 1997.958  -80.1366904 4416.273 -127.9958543
## 1997.962  -82.9829081 4423.812 -153.6988698
## 1997.965  -97.9419829 4431.351 -216.7090282
## 1997.969 -110.4482006 4438.890 -311.7420437
## 1997.973 -105.4772754 4446.429 -279.0422021
## 1997.977 -107.6306359 4453.969 -317.2580748
## 1997.981  -94.8425679 4461.508 -216.3553760
## 1997.985  -84.7573570 4469.047 -229.7198201
## 1997.988  -80.2507175 4476.586 -233.4156928
## 1997.992  -91.2597923 4484.126 -337.5158511
## 1997.996  -71.4945815 4491.665 -294.6302952
## 1998.000  -75.3993706 4499.204 -291.0147393
## 1998.004  -81.3098739 4506.743 -292.6434691
## 1998.008  -80.6660916 4514.283 -300.8264846
## 1998.012  -78.1351664 4521.822 -310.8966430
## 1998.015  -57.7856698 4529.361 -205.5553728
## 1998.019  -63.1704589 4536.900 -249.4298169
## 1998.023  -66.2423909 4544.440 -253.8971182
## 1998.027  -79.8543229 4551.979 -247.8244194
## 1998.031  -55.7262548 4559.518 -139.4717206
## 1998.035  -43.8939011 4567.057 -106.2133076
## 1998.038  -49.3096073 4574.596 -165.2368345
## 1998.042  -56.9510278 4582.136 -185.2046472
## 1998.046  -65.7981626 4589.675 -230.2367456
## 1998.050  -68.8167260 4597.214 -290.6474154
## 1998.054  -74.3067180 4604.753 -395.8066567
## 1998.058  -68.2724242 4612.293 -394.0101836
## 1998.062  -71.8952733 4619.832 -402.5265678
## 1998.065  -75.6638367 4627.371 -411.4872376
## 1998.069  -69.8438286 4634.910 -348.8264788
## 1998.073  -65.0281063 4642.450 -287.3714344
## 1998.077  -63.5066696 4649.989 -275.6521042
## 1998.081  -62.9609473 4657.528 -344.0970597
## 1998.085  -60.6052250 4665.067 -365.6920153
## 1998.088  -67.1366455 4672.606 -383.3098279
## 1998.092  -56.2466374 4680.146 -357.5590692
## 1998.096  -47.1123436 4687.685 -324.5225962
## 1998.100  -34.9337642 4695.224 -275.0004088
## 1998.104  -31.0537561 4702.763 -227.1796501
## 1998.108  -21.4523195 4710.303 -246.3203199
## 1998.112  -19.2137400 4717.842 -168.7481326
## 1998.115  -17.7326663 4725.363 -178.4499979
## 1998.119  -12.0115927 4732.883 -211.6218632
## 1998.123  -12.4419476 4740.404 -233.2422999
## 1998.127   -1.8423025 4747.925 -209.1727366
## 1998.131   -0.4498003 4755.446 -235.4360305
## 1998.135    8.4469876 4762.967 -212.7936101
## 1998.138    8.7752041 4770.487 -226.8026182
## 1998.142   12.7534207 4778.008 -281.3916264
## 1998.146    9.9902086 4785.529 -273.0992060
## 1998.150    2.4084251 4793.050 -259.8982141
## 1998.154    3.2294988 4800.571 -176.3800794
## 1998.158    6.1891438 4808.091 -202.6205161
## 1998.162   -1.1583539 4815.612 -233.3738100
## 1998.165    2.6341483 4823.133 -242.7371039
## 1998.169    4.2066505 4830.654 -224.2003977
## 1998.173    6.2720099 4838.175 -239.8965487
## 1998.177   22.6902264 4845.695 -163.8055569
## 1998.181   24.7270143 4853.216 -182.1631365
## 1998.185   20.7680880 4860.737 -187.6450018
## 1998.188   38.5563045 4868.258 -125.1940099
## 1998.192   39.9359223 4875.778 -156.0944194
## 1998.196   27.8826830 4883.299 -220.6619717
## 1998.200   20.0451580 4890.820 -234.4452383
## 1998.204   27.4590615 4898.341 -163.0899335
## 1998.208   37.1429650 4905.862 -114.1146287
## 1998.212   47.3682971 4913.382 -108.5307524
## 1998.215   32.6936293 4920.903  -91.1868762
## 1998.219   29.6275328 4928.424 -119.3815713
## 1998.223   32.4628649 4935.945  -96.1676951
## 1998.227   20.3553399 4943.466  -58.2309617
## 1998.231   20.2906720 4950.986  -25.3670854
## 1998.235   20.7088612 4958.507  -70.6660663
## 1998.238    8.7056219 4966.028  -24.8236186
## 1998.242   20.4080969 4973.549   51.2031147
## 1998.246   26.7077147 4981.070    6.3527053
## 1998.250   39.8787611 4988.590   35.8808672
## 1998.254   53.0812361 4996.111   64.9376006
## 1998.258   35.9451396 5003.632  -10.5770945
## 1998.262   29.4704717 5011.153   26.2767817
## 1998.265   35.7800895 5018.674   15.4363723
## 1998.269   30.9786819 5026.415   39.8564613
## 1998.273   18.5815600 5034.156   82.6122647
## 1998.277   29.2401523 5041.897  107.9023537
## 1998.281   42.8601733 5049.639  161.8210142
## 1998.285   72.0244799 5057.380  216.4853890
## 1998.288   64.7530723 5065.121  179.7954781
## 1998.292   68.0973789 5072.863  126.3898528
## 1998.296   64.9059713 5080.604  166.7399419
## 1998.300   63.2117065 5088.345  160.6928881
## 1998.304   62.1360132 5096.087  154.0272629
## 1998.308   70.6874627 5103.828  193.4644948
## 1998.312   57.6531979 5111.569  190.0174410
## 1998.315   51.2117903 5119.311  122.4475301
## 1998.319   60.1546684 5127.052  139.4233334
## 1998.323   62.1032607 5134.793  211.0334225
## 1998.327   64.1761388 5142.535  167.0892258
## 1998.331   56.7090169 5150.276  105.2950292
## 1998.335   48.1590378 5158.017   56.3936897
## 1998.338   26.1519159 5165.759  -47.4905070
## 1998.342    4.3733654 5173.500 -175.1632751
## 1998.346   23.7008852 5181.241  -94.0621134
## 1998.350   19.6055478 5188.983 -124.7880947
## 1998.354   35.8387819 5196.724    8.6673527
## 1998.358   35.8234446 5204.465    0.9413715
## 1998.362   58.9366786 5212.207   66.6068188
## 1998.365   43.9299127 5219.948  -37.6777338
## 1998.369   49.3888611 5227.689  -12.4580008
## 1998.373   35.5049523 5235.430 -106.0454106
## 1998.377   52.6110435 5243.172  -25.1728204
## 1998.381   76.3114204 5250.913   21.5254841
## 1998.385   68.4917974 5258.654  -19.3262114
## 1998.388   76.3493172 5266.396   29.2449503
## 1998.392   68.7139798 5274.137   31.2589691
## 1998.396   75.5857853 5281.878   56.8458450
## 1998.400   66.6718765 5289.620  -12.6315648
## 1998.404   64.8708249 5297.361   78.7681682
## 1998.408   77.0540590 5305.102  132.3536156
## 1998.412   74.3172931 5312.844  127.3490630
## 1998.415   71.8548128 5320.585  137.7502246
## 1998.419   86.9751898 5328.326  177.1585291
## 1998.423   94.9623091 5336.350  208.5778836
## 1998.427   58.2494284 5344.373   64.2572381
## 1998.431   65.6479763 5352.397   89.3151640
## 1998.435   66.3536670 5360.420  130.2159471
## 1998.438   75.3765006 5368.444  113.1695873
## 1998.442   84.1436199 5376.467  123.2189418
## 1998.446   91.6035964 5384.491  164.3254392
## 1998.450   86.7664299 5392.514  126.0990794
## 1998.454   99.6635493 5400.538  224.5484339
## 1998.458   96.4978114 5408.562  281.9906456
## 1998.462   96.0092164 5416.585  261.1757143
## 1998.465   94.5806215 5424.609  280.0307831
## 1998.469   96.7620265 5432.632  269.8258519
## 1998.473   67.5248601 5440.656  123.1594921
## 1998.477   56.4876937 5448.679   76.0731324
## 1998.481   50.4676701 5456.703  114.5396297
## 1998.485   70.4347894 5464.726  207.6689842
## 1998.488   69.4376230 5472.750  147.7026244
## 1998.492   59.6447423 5480.773  103.8019789
## 1998.496   43.1900952 5488.797  116.1230999
## 1998.500   55.3795008 5496.820  196.1401681
## 1998.504   61.2914064 5504.844  218.2647363
## 1998.508   68.4470620 5512.867  305.4055545
## 1998.512   68.4527176 5520.891  281.1463728
## 1998.515   70.8396232 5528.914  333.9759410
## 1998.519   65.8590288 5536.938  239.0330092
## 1998.523   80.3559344 5544.961  285.1925774
## 1998.527   97.0990899 5552.985  255.0658956
## 1998.531  107.7572455 5561.009  292.6842138
## 1998.535  113.6216511 5569.032  259.4062820
## 1998.538  116.5460567 5577.056  282.2783503
## 1998.542  121.4679623 5585.079  312.3429185
## 1998.546  111.2548679 5593.103  296.4824867
## 1998.550  119.5630235 5601.126  280.5508049
## 1998.554  124.1574291 5609.150  290.0028731
## 1998.558  123.6293347 5617.173  361.0974413
## 1998.562  131.1587403 5625.197  349.7445096
## 1998.565  124.9506459 5633.220  349.8290778
## 1998.569  121.8513015 5641.244  399.7648960
## 1998.573  127.8069571 5649.267  409.0157142
## 1998.577  149.3419066 5657.478  377.2805228
## 1998.581  139.5631062 5665.688  275.8590814
## 1998.585  122.1268057 5673.898  247.7951401
## 1998.588  123.5592553 5682.108  234.9124487
## 1998.592  103.2029548 5690.319   60.8285073
## 1998.596  105.7816544 5698.529   63.2095659
## 1998.600  120.7041039 5706.739    1.2968745
## 1998.604  119.3703035 5714.949   72.0104331
## 1998.608  107.0502530 5723.160   30.9802417
## 1998.612   83.5064526 5731.370  -40.4961996
## 1998.615   74.2526521 5739.580  -95.1326410
## 1998.619   66.1976017 5747.790 -199.2178324
## 1998.623   62.8850512 5756.000 -290.7655238
## 1998.627   56.8662507 5764.211 -222.7569652
## 1998.631   11.6399503 5772.421 -323.6309066
## 1998.635    2.5961498 5780.631 -497.4473480
## 1998.638    9.2948494 5788.841 -411.1962893
## 1998.642   -3.0802011 5797.052 -438.9414807
## 1998.646   -0.9352515 5805.262 -330.6066721
plot(stl(dax,s.window = "periodic"))

I want to substract the seasonal effect

mydax=decompose(dax,"additive")
mydaxadjust=dax-mydax$seasonal
plot(mydaxadjust)

At last, do a forecast using both arima and naive

plot(stlf(dax,method="arima",h=2*frequency(dax)))

plot(stlf(dax,method="naive",h=2*frequency(dax)))