An implementation of funnel plots for indirectly standardised ratios, as described by Spiegelhalter (2005) <https://doi.org/10.1002/sim.1970/>. There are several parameters for the input, with the assumption that you will want smooth, overdispersed, funnel control limits. Limits may be inflated for overdispersion based on the methods of DerSimonian & Laird (1986), buy calculating a between unit standard deviation (\(\tau\)) and constructing an additive random effects models, originally used for meta-analyses of clinical trials data.

funnel_plot(
  .data,
  numerator,
  denominator,
  group,
  data_type = "SR",
  limit = 99,
  label = "outlier",
  highlight = NA,
  draw_unadjusted = FALSE,
  draw_adjusted = TRUE,
  sr_method = "SHMI",
  trim_by = 0.1,
  title = "Untitled Funnel Plot",
  multiplier = 1,
  x_label = "Expected",
  y_label,
  x_range = "auto",
  y_range = "auto",
  plot_cols = c("#FF7F0EFF", "#FF7F0EFF", "#1F77B4FF", "#1F77B4FF", "#9467BDFF",
    "#9467BDFF", "#2CA02CFF", "#2CA02CFF"),
  theme = funnel_clean(),
  label_outliers,
  Poisson_limits,
  OD_adjust,
  xrange,
  yrange,
  SHMI_rounding = TRUE,
  max.overlaps = 10
)

Arguments

.data

A data frame containing a numerator, denominator and grouping field.

numerator

A vector of the numerator (observed events/counts) values. Used as numerator of the Y-axis

denominator

A vector of denominator (predicted/population etc.) Used as denominator of the Y-axis and the scale of the x-axis

group

A vector of group names as character or factor. Used to aggregate and group points on plots

data_type

A string identifying the type of data used for in the plot, the adjustment used and the reference point. One of: "SR" for indirectly standardised ratios, such SHMI, "PR" for proportions, or "RC" for ratios of counts. Default is "SR".

limit

Plot limits, accepted values are: 95 or 99, corresponding to 95% or 99.8% quantiles of the distribution. Default=99,and applies to OD limits if both OD and Poisson are used.

label

Whether to label outliers, highlighted groups, both or none. Default is "outlier", by accepted values are:

  • "outlier" - Labels upper and lower outliers, determined in relation to the `limit` argument.

  • "outlier_lower" - Labels just and lower outliers, determined in relation to the `limit` argument.

  • "outlier_upper" - Labels just upper, determined in relation to the `limit` argument.

  • "highlight" - Labels the value(s) given in the `highlight`argument.

  • "both" - Labels both the highlighted values(s), upper and lower outliers, determined in relation to the `limit` argument.

  • "both_lower" - Labels both the highlighted values(s) and lower outliers, determined in relation to the `limit` argument.

  • "both_upper" - Labels both the highlighted values(s) and upper outliers, determined in relation to the `limit` argument.

  • NA - No labels applied

highlight

Single or vector of points to highlight, with a different colour and point style. Should correspond to values specified to `group`. Default is NA, for no highlighting.

draw_unadjusted

Draw control limits without overdispersion adjustment. (default=FALSE)

draw_adjusted

Draw overdispersed limits using hierarchical model, assuming at group level, as described in Spiegelhalter (2012). It calculates a second variance component ' for the 'between' standard deviation (\(\tau\)), that is added to the 'within' standard deviation (sigma) (default=TRUE)

sr_method

Method for adjustment when using indirectly standardised ratios (type="SR") Either "CQC" or "SHMI" (default). There are a few methods for standardisation. "CQC"/Spiegelhalter uses a square-root transformation and Winsorises (rescales the outer most values to a particular percentile). SHMI, instead, uses log-transformation and doesn't Winsorise, but truncates the distribution before assessing overdisperison . Both methods then calculate a dispersion ratio (\(\phi\)) on this altered dataset. This ratio is then used to scale the full dataset, and the plot is drawn for the full dataset.

trim_by

Proportion of the distribution for winsorisation/truncation. Default is 10 % (0.1). Note, this is applied in a two-sided fashion, e.g. 10% refers to 10% at each end of the distribution (20% winsorised/truncated)

title

Plot title

multiplier

Scale relative risk and funnel by this factor. Default to 1, but 100 sometime used, e.g. in some hospital mortality ratios.

x_label

Title for the funnel plot x-axis. Usually expected deaths, readmissions, incidents etc.

y_label

Title for the funnel plot y-axis. Usually a standardised ratio.

x_range

Manually specify the y-axis min and max, in form c(min, max), e.g. c(0, 200). Default, "auto", allows function to estimate range.

y_range

Manually specify the y-axis min and max, in form c(min, max), e.g. c(0.7, 1.3). Default, "auto", allows function to estimate range.

plot_cols

A vector of 8 colours for funnel limits, in order: 95% Poisson (lower/upper), 99.8% Poisson (lower/upper), 95% OD-adjusted (lower/upper), 99.8% OD-adjusted (lower/upper). Default has been chosen to avoid red and green which can lead to subconscious value judgements of good or bad. Default is hex colours: c("#FF7F0EFF", "#FF7F0EFF", "#1F77B4FF","#1F77B4FF", "#9467BDFF", "#9467BDFF", "#2CA02CFF", "#2CA02CFF")

theme

a ggplot theme function. This can be a canned theme such as theme_bw(), a theme() with arguments, or your own custom theme function. Default is new funnel_clean(), but funnel_classic() is original format.

label_outliers

Deprecated. Please use the `label` argument instead.

Poisson_limits

Deprecated. Please use the `draw_unadjusted` argument instead.

OD_adjust

Deprecated. Please use the `draw_adjusted` argument instead.

xrange

Deprecated. Please use the `x_range` argument instead.

yrange

Deprecated. Please use the `y_range` argument instead.

SHMI_rounding

TRUE/FALSE, for SHMI calculation (standardised ratio, with SHMI truncation etc.), should you round the expected values to 2 decimal places (TRUE) or not (FALSE)

max.overlaps

Exclude text labels that overlap too many things. Defaults to 10. (inheritted from geom_label_repel)

Value

A fitted `funnelplot` object. A `funnelplot` object is a list containing the following components:

print

Prints the number of points, outliers and whether the plot has been adjusted, and prints the plot

plot

A ggplot object with the funnel plot and the appropriate limits

limits_lookup

A lookup table with selected limits for drawing a plot in software that requires limits.

aggregated_data

A data.frame of the the aggregated dataset used for the plot.

outlier

A data frame of outliers from the data.

tau2

The between-groups standard deviation, \(\tau^2\).

phi

The dispersion ratio, \(\phi\).

draw_adjusted

Whether overdispersion-adjusted limits were used.

draw_unadjusted

Whether unadjusted Poisson limits were used.

Details

Outliers are marked based on the grouping, and the limits chosen, corresponding to either 95% or 99.8% quantiles of the normal distribution.
Labels can attached using the `label` argument.
Overdispersion can be factored in based on the methods in Spiegelhalter et al. (2012), set `draw_adjusted` to FALSE to suppress this.
To use Poisson limits set `draw_unadjusted=TRUE`.
The plot colours deliberately avoid red-amber-green colouring, but you could extract this from the ggplot object and change manually if you like. Future versions of `funnelplotr` may allow users to change this.

References

DerSimonian & Laird (1986) Meta-analysis in clinical trials. <doi:10.1016/0197-2456(86)90046-2>

Spiegelhalter (2005) Funnel plots for comparing institutional performance <doi:10.1002/sim.1970>

Spiegelhalter et al. (2012) Statistical methods for healthcare regulation: rating, screening and surveillance: <doi:10.1111/j.1467-985X.2011.01010.x>

NHS Digital (2020) SHMI Methodology v .134 https://digital.nhs.uk/data-and-information/publications/ci-hub/summary-hospital-level-mortality-indicator-shmi

Examples

# We will use the 'medpar' dataset from the 'COUNT' package.
# Little reformatting needed

library(COUNT)
#> Loading required package: msme
#> Loading required package: MASS
#> Loading required package: lattice
#> Loading required package: sandwich
data(medpar)
medpar$provnum<-factor(medpar$provnum)
medpar$los<-as.numeric(medpar$los)

mod<- glm(los ~ hmo + died + age80 + factor(type)
      , family="poisson", data=medpar)

# Get predicted values for building ratio
medpar$prds<- predict(mod, type="response")

# Draw plot, returning just the plot object
fp<-funnel_plot(medpar, denominator=prds, numerator=los,
group = provnum, limit=95, title="An example funnel plot")

# Methods for viewing/extracting
print(fp)

#> A funnel plot object with 54 points of which 16 are outliers. 
#> Plot is adjusted for overdispersion. 
plot(fp)

summary(fp)
#> A funnel plot object with 54 points of which 16 are outliers. 
#> Dispersion ratio: ϕ = 8.532851 . 
#> Plot is adjusted for overdispersion. Between unit variance:
#>   𝜏², = 0.02841023 . 
#> Outliers: 
#>    denominator  group numerator        rr target_transformed          Y
#> 17      120.94 030007        82 0.6780368                  0 -0.3885753
#> 28      245.61 030017       131 0.5333603                  0 -0.6285476
#> 6        28.80 030025        14 0.4861594                  0 -0.7213181
#> 14       73.21 030035        37 0.5054258                  0 -0.6824141
#> 32      273.34 030037       145 0.5304793                  0 -0.6339827
#> 21      172.38 030043       104 0.6033232                  0 -0.5053104
#> 3        19.20 030044         6 0.3125609                  0 -1.1631508
#> 4        19.96 030060         7 0.3506260                  0 -1.0478201
#> 25      198.94 030062       134 0.6735680                  0 -0.3951635
#> 12       45.87 030067        22 0.4796652                  0 -0.7347689
#> 2         9.67 030068         2 0.2068827                  0 -1.5758811
#> 10       38.92 030073        87 2.2352298                  0  0.8043999
#> 7        31.74 030078        55 1.7329455                  0  0.5497555
#> 52      685.59 032000      1012 1.4761101                  0  0.3894041
#> 22      181.11 032002       283 1.5626043                  0  0.4463423
#> 5        24.81 032003        95 3.8296445                  0  1.3426301
#>       Uzscore rk sp truncated  Wuzscore          s   OD95LCL  OD95UCL   OD99LCL
#> 17  -4.273269 13  2         0 -4.273269 0.09093164 0.6870374 1.455525 0.5533126
#> 28  -9.850566  2  0         1        NA 0.06380827 0.7024099 1.423670 0.5729580
#> 6   -3.870999 16  2         0 -3.870999 0.18633900 0.6111188 1.636343 0.4600330
#> 14  -5.838929  4  0         1        NA 0.11687316 0.6689770 1.494820 0.5305541
#> 32 -10.481634  1  0         1        NA 0.06048510 0.7039943 1.420466 0.5749970
#> 21  -6.634401  3  0         1        NA 0.07616520 0.6959196 1.436948 0.5646331
#> 3   -5.096671  8  1         0 -5.096671 0.22821773 0.5734589 1.743804 0.4161366
#> 4   -4.681306 12  2         0 -4.681306 0.22383074 0.5774252 1.731826 0.4206837
#> 25  -5.573626  7  1         0 -5.573626 0.07089881 0.6987976 1.431030 0.5683191
#> 12  -4.976398  9  1         0 -4.976398 0.14765074 0.6445616 1.551442 0.5003471
#> 2   -4.900458 10  1         0 -4.900458 0.32157832 0.4908522 2.037273 0.3256333
#> 10   5.018321 50  9         1        NA 0.16029264 0.6338819 1.577581 0.4873387
#> 7    3.097227 48  8         0  3.097227 0.17749926 0.6189345 1.615680 0.4693434
#> 52  10.196068 54  9         1        NA 0.03819159 0.7126729 1.403168 0.5862128
#> 22   6.006746 51  9         1        NA 0.07430684 0.6969535 1.434816 0.5659563
#> 5    6.687592 53  9         1        NA 0.20076436 0.5982289 1.671601 0.4448276
#>     OD99UCL     LCL95    UCL95     LCL99    UCL99 highlight outlier
#> 17 1.807297 0.8297333 1.194925 0.7423709 1.314130         0       1
#> 28 1.745329 0.8788379 1.133198 0.8143570 1.213308         0       1
#> 6  2.173757 0.6686912 1.437947 0.5211690 1.720387         0       1
#> 14 1.884822 0.7841313 1.256939 0.6773325 1.416488         0       1
#> 32 1.739139 0.8849536 1.125850 0.8234590 1.201382         0       1
#> 21 1.771061 0.8562871 1.160931 0.7810534 1.258467         0       1
#> 3  2.403057 0.6038663 1.558062 0.4393444 1.925512         0       1
#> 4  2.377083 0.6104869 1.545079 0.4474921 1.903227         0       1
#> 25 1.759575 0.8658614 1.149033 0.7951428 1.239064         0       1
#> 12 1.998612 0.7317770 1.334400 0.6049421 1.545676         0       1
#> 2  3.070939 0.4725050 1.857410 0.2885378 2.445625         0       1
#> 10 2.051961 0.7108273 1.367468 0.5766906 1.601235         0       1
#> 7  2.130636 0.6828360 1.413670 0.5396094 1.679236         0       1
#> 52 1.705865 0.9265368 1.077739 0.8861228 1.123734         0       1
#> 22 1.766921 0.8596594 1.156719 0.7860075 1.251593         0       1
#> 5  2.248062 0.6459532 1.478364 0.4919575 1.789136         0       1
limits(fp)
#>      number.seq          s    odll95   odul95    odll998   odul998       ll95
#> 1      1.100000 0.95346259 0.1499088 6.670722 0.05018164 19.927608 0.03371131
#> 2      1.951752 0.71579344 0.2366198 4.226189 0.10305763  9.703309 0.11649266
#> 3      2.803504 0.59724077 0.2963262 3.374659 0.14694390  6.805318 0.19111654
#> 4      3.655255 0.52304752 0.3405923 2.936062 0.18301425  5.464055 0.25146337
#> 5      4.507007 0.47103793 0.3751069 2.665907 0.21309812  4.692674 0.30040779
#> 6      5.358759 0.43198423 0.4029908 2.481446 0.23860393  4.191046 0.34084501
#> 7      6.210511 0.40126968 0.4261173 2.346772 0.26054744  3.838073 0.37489241
#> 8      7.062262 0.37629468 0.4456895 2.243714 0.27966440  3.575714 0.40404179
#> 9      7.560000 0.36369648 0.4558174 2.193861 0.28974983  3.451253 0.41924504
#> 10     7.914014 0.35546889 0.4625217 2.162061 0.29649761  3.372708 0.42935482
#> 11     8.765766 0.33775755 0.4771878 2.095611 0.31145585  3.210728 0.45160285
#> 12     9.617518 0.32245455 0.4901059 2.040375 0.32485304  3.078315 0.47135881
#> 13     9.670000 0.32157832 0.4908522 2.037273 0.32563329  3.070939 0.47250496
#> 14    10.469269 0.30905930 0.5015892 1.993663 0.33693458  2.967935 0.48905720
#> 15    11.321021 0.29720575 0.5118776 1.953592 0.34789534  2.874428 0.50503383
#> 16    12.172773 0.28661918 0.5211583 1.918803 0.35789229  2.794137 0.51955264
#> 17    13.024525 0.27708886 0.5295802 1.888288 0.36705342  2.724399 0.53282422
#> 18    13.876276 0.26845008 0.5372631 1.861286 0.37548431  2.663227 0.54501889
#> 19    14.728028 0.26057197 0.5443048 1.837206 0.38327290  2.609107 0.55627603
#> 20    15.579780 0.25334909 0.5507860 1.815587 0.39049313  2.560865 0.56671098
#> 21    16.431532 0.24669536 0.5567740 1.796061 0.39720764  2.517575 0.57642007
#> 22    17.283283 0.24053976 0.5623254 1.778330 0.40346993  2.478499 0.58548452
#> 23    18.135035 0.23482309 0.5674883 1.762151 0.40932599  2.443041 0.59397329
#> 24    18.986787 0.22949555 0.5723037 1.747324 0.41481560  2.410710 0.60194544
#> 25    19.200000 0.22821773 0.5734589 1.743804 0.41613660  2.403057 0.60386634
#> 26    19.838539 0.22451490 0.5768067 1.733683 0.41997337  2.381103 0.60945183
#> 27    19.960000 0.22383074 0.5774252 1.731826 0.42068365  2.377083 0.61048695
#> 28    20.690290 0.21984506 0.5810280 1.721087 0.42482956  2.353885 0.61653653
#> 29    21.542042 0.21545499 0.5849941 1.709419 0.42941075  2.328773 0.62323800
#> 30    22.393794 0.21131784 0.5887283 1.698576 0.43374044  2.305526 0.62958991
#> 31    23.245546 0.20741021 0.5922510 1.688473 0.43783943  2.283942 0.63562192
#> 32    24.097297 0.20371163 0.5955801 1.679035 0.44172624  2.263846 0.64136028
#> 33    24.810000 0.20076436 0.5982289 1.671601 0.44482756  2.248062 0.64595320
#> 34    24.949049 0.20020412 0.5987319 1.670197 0.44541742  2.245085 0.64682829
#> 35    25.800801 0.19687175 0.6017204 1.661902 0.44892779  2.227530 0.65204673
#> 36    26.652553 0.19370043 0.6045583 1.654100 0.45227069  2.211065 0.65703421
#> 37    27.504304 0.19067760 0.6072572 1.646749 0.45545814  2.195591 0.66180745
#> 38    28.356056 0.18779200 0.6098272 1.639809 0.45850102  2.181020 0.66638149
#> 39    28.800000 0.18633900 0.6111188 1.636343 0.46003301  2.173757 0.66869116
#> 40    29.207808 0.18503357 0.6122776 1.633246 0.46140919  2.167274 0.67076995
#> 41    30.059560 0.18239322 0.6146168 1.627030 0.46419161  2.154283 0.67498516
#> 42    30.911311 0.17986277 0.6168524 1.621133 0.46685647  2.141986 0.67903834
#> 43    31.740000 0.17749926 0.6189345 1.615680 0.46934344  2.130636 0.68283598
#> 44    31.763063 0.17743480 0.6189912 1.615532 0.46941123  2.130328 0.68293970
#> 45    32.614815 0.17510258 0.6210395 1.610203 0.47186272  2.119260 0.68669859
#> 46    33.466567 0.17285996 0.6230032 1.605128 0.47421722  2.108738 0.69032353
#> 47    33.980000 0.17154905 0.6241482 1.602184 0.47559209  2.102642 0.69244725
#> 48    34.318318 0.17070137 0.6248874 1.600288 0.47648050  2.098722 0.69382238
#> 49    35.170070 0.16862167 0.6266970 1.595668 0.47865785  2.089175 0.69720235
#> 50    36.021822 0.16661618 0.6284364 1.591251 0.48075417  2.080065 0.70047008
#> 51    36.560000 0.16538530 0.6295011 1.588560 0.48203903  2.074521 0.70247971
#> 52    36.873574 0.16468058 0.6301097 1.587025 0.48277401  2.071363 0.70363169
#> 53    37.725325 0.16281091 0.6317207 1.582978 0.48472153  2.063040 0.70669288
#> 54    38.577077 0.16100351 0.6332728 1.579098 0.48660063  2.055073 0.70965888
#> 55    38.920000 0.16029264 0.6338819 1.577581 0.48733868  2.051961 0.71082726
#> 56    38.930000 0.16027205 0.6338995 1.577537 0.48736005  2.051871 0.71086111
#> 57    39.428829 0.15925499 0.6347694 1.575375 0.48841492  2.047440 0.71253458
#> 58    40.280581 0.15756224 0.6362133 1.571800 0.49016775  2.040118 0.71532450
#> 59    41.132332 0.15592234 0.6376073 1.568363 0.49186223  2.033090 0.71803286
#> 60    41.984084 0.15433259 0.6389541 1.565058 0.49350130  2.026337 0.72066360
#> 61    42.835836 0.15279051 0.6402560 1.561875 0.49508765  2.019844 0.72322038
#> 62    43.687588 0.15129374 0.6415153 1.558809 0.49662384  2.013596 0.72570664
#> 63    44.539339 0.14984012 0.6427341 1.555853 0.49811224  2.007580 0.72812558
#> 64    45.391091 0.14842761 0.6439143 1.553002 0.49955509  2.001781 0.73048022
#> 65    45.870000 0.14765074 0.6445616 1.551442 0.50034713  1.998612 0.73177697
#> 66    46.242843 0.14705430 0.6450577 1.550249 0.50095446  1.996189 0.73277338
#> 67    47.094595 0.14571843 0.6461661 1.547590 0.50231233  1.990793 0.73500770
#> 68    47.946346 0.14441830 0.6472411 1.545019 0.50363054  1.985583 0.73718569
#> 69    48.798098 0.14315237 0.6482842 1.542533 0.50491083  1.980548 0.73930970
#> 70    49.649850 0.14191916 0.6492967 1.540128 0.50615482  1.975680 0.74138192
#> 71    50.501602 0.14071728 0.6502802 1.537799 0.50736406  1.970971 0.74340446
#> 72    51.353353 0.13954542 0.6512357 1.535542 0.50854001  1.966414 0.74537928
#> 73    52.205105 0.13840237 0.6521645 1.533355 0.50968404  1.962000 0.74730824
#> 74    53.056857 0.13728694 0.6530677 1.531235 0.51079744  1.957723 0.74919310
#> 75    53.790000 0.13634814 0.6538255 1.529460 0.51173222  1.954147 0.75078146
#> 76    53.908609 0.13619807 0.6539464 1.529177 0.51188145  1.953577 0.75103554
#> 77    54.760360 0.13513469 0.6548015 1.527180 0.51293722  1.949556 0.75283713
#> 78    55.612112 0.13409584 0.6556341 1.525241 0.51396586  1.945655 0.75459938
#> 79    56.463864 0.13308059 0.6564449 1.523357 0.51496841  1.941867 0.75632370
#> 80    57.315616 0.13208805 0.6572349 1.521526 0.51594587  1.938188 0.75801144
#> 81    58.167367 0.13111739 0.6580049 1.519746 0.51689916  1.934613 0.75966390
#> 82    59.019119 0.13016782 0.6587555 1.518014 0.51782920  1.931139 0.76128230
#> 83    59.870871 0.12923859 0.6594876 1.516329 0.51873682  1.927760 0.76286778
#> 84    60.722623 0.12832898 0.6602018 1.514688 0.51962283  1.924473 0.76442148
#> 85    61.574374 0.12743831 0.6608988 1.513091 0.52048801  1.921274 0.76594444
#> 86    62.426126 0.12656593 0.6615791 1.511535 0.52133308  1.918159 0.76743766
#> 87    63.277878 0.12571122 0.6622435 1.510019 0.52215876  1.915126 0.76890212
#> 88    64.129630 0.12487360 0.6628924 1.508540 0.52296570  1.912171 0.77033873
#> 89    64.981381 0.12405250 0.6635264 1.507099 0.52375453  1.909291 0.77174837
#> 90    65.833133 0.12324739 0.6641460 1.505693 0.52452588  1.906484 0.77313188
#> 91    66.684885 0.12245776 0.6647517 1.504321 0.52528031  1.903745 0.77449005
#> 92    67.536637 0.12168311 0.6653440 1.502982 0.52601839  1.901074 0.77582367
#> 93    68.388388 0.12092297 0.6659233 1.501674 0.52674064  1.898468 0.77713347
#> 94    69.240140 0.12017691 0.6664900 1.500398 0.52744757  1.895923 0.77842015
#> 95    70.091892 0.11944449 0.6670445 1.499150 0.52813967  1.893439 0.77968439
#> 96    70.943644 0.11872529 0.6675873 1.497931 0.52881741  1.891012 0.78092684
#> 97    71.795395 0.11801894 0.6681187 1.496740 0.52948122  1.888641 0.78214813
#> 98    72.647147 0.11732504 0.6686390 1.495575 0.53013154  1.886324 0.78334884
#> 99    73.210000 0.11687316 0.6689770 1.494820 0.53055408  1.884822 0.78413129
#> 100   73.498899 0.11664324 0.6691487 1.494436 0.53076878  1.884060 0.78452956
#> 101   74.350651 0.11597319 0.6696480 1.493322 0.53139332  1.881845 0.78569084
#> 102   75.202402 0.11531456 0.6701372 1.492232 0.53200556  1.879680 0.78683321
#> 103   76.054154 0.11466702 0.6706167 1.491165 0.53260585  1.877561 0.78795719
#> 104   76.905906 0.11403027 0.6710867 1.490120 0.53319454  1.875488 0.78906325
#> 105   77.757658 0.11340401 0.6715476 1.489098 0.53377197  1.873459 0.79015188
#> 106   78.609409 0.11278796 0.6719995 1.488096 0.53433845  1.871473 0.79122354
#> 107   79.461161 0.11218184 0.6724428 1.487115 0.53489431  1.869528 0.79227866
#> 108   80.312913 0.11158538 0.6728777 1.486154 0.53543983  1.867623 0.79331767
#> 109   81.164665 0.11099834 0.6733044 1.485212 0.53597530  1.865758 0.79434097
#> 110   82.016416 0.11042047 0.6737232 1.484289 0.53650101  1.863929 0.79534896
#> 111   82.868168 0.10985154 0.6741342 1.483384 0.53701721  1.862138 0.79634202
#> 112   83.719920 0.10929130 0.6745378 1.482497 0.53752417  1.860381 0.79732053
#> 113   84.571672 0.10873955 0.6749341 1.481626 0.53802214  1.858660 0.79828482
#> 114   85.423423 0.10819608 0.6753232 1.480772 0.53851134  1.856971 0.79923525
#> 115   86.275175 0.10766067 0.6757055 1.479935 0.53899201  1.855315 0.80017214
#> 116   87.126927 0.10713313 0.6760810 1.479113 0.53946438  1.853691 0.80109583
#> 117   87.978679 0.10661327 0.6764500 1.478306 0.53992866  1.852097 0.80200661
#> 118   88.830430 0.10610091 0.6768126 1.477514 0.54038505  1.850532 0.80290478
#> 119   89.682182 0.10559587 0.6771690 1.476736 0.54083376  1.848997 0.80379064
#> 120   90.533934 0.10509796 0.6775193 1.475973 0.54127498  1.847490 0.80466447
#> 121   91.385686 0.10460704 0.6778638 1.475223 0.54170889  1.846010 0.80552654
#> 122   92.237437 0.10412293 0.6782024 1.474486 0.54213568  1.844557 0.80637711
#> 123   93.089189 0.10364548 0.6785355 1.473762 0.54255553  1.843129 0.80721643
#> 124   93.940941 0.10317454 0.6788631 1.473051 0.54296860  1.841727 0.80804476
#> 125   94.792693 0.10270996 0.6791854 1.472352 0.54337505  1.840350 0.80886233
#> 126   95.644444 0.10225160 0.6795024 1.471665 0.54377504  1.838996 0.80966938
#> 127   96.496196 0.10179933 0.6798144 1.470990 0.54416873  1.837665 0.81046612
#> 128   97.347948 0.10135300 0.6801214 1.470326 0.54455627  1.836358 0.81125279
#> 129   98.199700 0.10091249 0.6804236 1.469673 0.54493779  1.835072 0.81202959
#> 130   99.051451 0.10047768 0.6807211 1.469030 0.54531345  1.833808 0.81279672
#> 131   99.903203 0.10004843 0.6810139 1.468399 0.54568337  1.832565 0.81355440
#> 132  100.754955 0.09962465 0.6813022 1.467777 0.54604768  1.831342 0.81430280
#> 133  101.606707 0.09920620 0.6815862 1.467166 0.54640652  1.830139 0.81504213
#> 134  102.458458 0.09879298 0.6818658 1.466564 0.54676000  1.828956 0.81577255
#> 135  103.310210 0.09838488 0.6821412 1.465972 0.54710824  1.827792 0.81649426
#> 136  104.161962 0.09798180 0.6824125 1.465389 0.54745137  1.826646 0.81720742
#> 137  105.013714 0.09758363 0.6826798 1.464816 0.54778948  1.825519 0.81791221
#> 138  105.865465 0.09719028 0.6829432 1.464251 0.54812270  1.824409 0.81860878
#> 139  106.717217 0.09680165 0.6832027 1.463695 0.54845113  1.823316 0.81929730
#> 140  107.568969 0.09641764 0.6834584 1.463147 0.54877487  1.822241 0.81997792
#> 141  108.420721 0.09603817 0.6837105 1.462607 0.54909403  1.821182 0.82065079
#> 142  109.272472 0.09566314 0.6839590 1.462076 0.54940869  1.820139 0.82131605
#> 143  110.124224 0.09529247 0.6842039 1.461553 0.54971895  1.819111 0.82197386
#> 144  110.975976 0.09492607 0.6844454 1.461037 0.55002491  1.818099 0.82262435
#> 145  111.260000 0.09480483 0.6845252 1.460867 0.55012599  1.817765 0.82283966
#> 146  111.827728 0.09456387 0.6846836 1.460529 0.55032665  1.817103 0.82326766
#> 147  112.679479 0.09420579 0.6849184 1.460028 0.55062427  1.816120 0.82390391
#> 148  113.531231 0.09385174 0.6851500 1.459535 0.55091784  1.815153 0.82453324
#> 149  114.382983 0.09350165 0.6853784 1.459048 0.55120744  1.814199 0.82515577
#> 150  115.234735 0.09315546 0.6856037 1.458569 0.55149317  1.813259 0.82577162
#> 151  116.086486 0.09281308 0.6858260 1.458096 0.55177509  1.812333 0.82638092
#> 152  116.938238 0.09247444 0.6860452 1.457630 0.55205329  1.811419 0.82698378
#> 153  117.789990 0.09213949 0.6862616 1.457170 0.55232782  1.810519 0.82758031
#> 154  118.110000 0.09201458 0.6863422 1.456999 0.55243004  1.810184 0.82780282
#> 155  118.641742 0.09180815 0.6864751 1.456717 0.55259878  1.809631 0.82817062
#> 156  119.493493 0.09148036 0.6866858 1.456270 0.55286622  1.808756 0.82875483
#> 157  120.345245 0.09115606 0.6868938 1.455829 0.55313022  1.807893 0.82933303
#> 158  120.940000 0.09093164 0.6870374 1.455525 0.55331256  1.807297 0.82973327
#> 159  121.196997 0.09083518 0.6870990 1.455394 0.55339084  1.807041 0.82990533
#> 160  122.048749 0.09051766 0.6873016 1.454965 0.55364815  1.806201 0.83047183
#> 161  122.900501 0.09020346 0.6875016 1.454542 0.55390220  1.805373 0.83103262
#> 162  123.752252 0.08989250 0.6876991 1.454124 0.55415307  1.804556 0.83158781
#> 163  124.604004 0.08958473 0.6878941 1.453712 0.55440080  1.803749 0.83213749
#> 164  125.455756 0.08928011 0.6880866 1.453305 0.55464546  1.802954 0.83268174
#> 165  126.307508 0.08897857 0.6882767 1.452904 0.55488711  1.802168 0.83322066
#> 166  127.159259 0.08868007 0.6884645 1.452508 0.55512581  1.801393 0.83375433
#> 167  128.011011 0.08838455 0.6886500 1.452117 0.55536159  1.800629 0.83428284
#> 168  128.862763 0.08809196 0.6888331 1.451730 0.55559453  1.799874 0.83480628
#> 169  129.714515 0.08780226 0.6890141 1.451349 0.55582466  1.799129 0.83532471
#> 170  130.566266 0.08751541 0.6891928 1.450973 0.55605205  1.798393 0.83583823
#> 171  131.418018 0.08723134 0.6893695 1.450601 0.55627673  1.797666 0.83634691
#> 172  132.269770 0.08695002 0.6895440 1.450234 0.55649876  1.796949 0.83685082
#> 173  133.121522 0.08667141 0.6897164 1.449871 0.55671819  1.796241 0.83735004
#> 174  133.973273 0.08639546 0.6898868 1.449513 0.55693505  1.795541 0.83784465
#> 175  134.825025 0.08612213 0.6900552 1.449159 0.55714940  1.794851 0.83833471
#> 176  135.676777 0.08585137 0.6902216 1.448810 0.55736128  1.794168 0.83882029
#> 177  136.528529 0.08558316 0.6903861 1.448465 0.55757073  1.793494 0.83930147
#> 178  137.380280 0.08531744 0.6905487 1.448124 0.55777779  1.792829 0.83977830
#> 179  138.232032 0.08505418 0.6907094 1.447787 0.55798251  1.792171 0.84025086
#> 180  139.083784 0.08479334 0.6908683 1.447454 0.55818492  1.791521 0.84071921
#> 181  139.935536 0.08453489 0.6910254 1.447125 0.55838506  1.790879 0.84118340
#> 182  140.787287 0.08427879 0.6911808 1.446800 0.55858297  1.790244 0.84164351
#> 183  141.639039 0.08402500 0.6913344 1.446478 0.55877868  1.789617 0.84209958
#> 184  142.490791 0.08377349 0.6914862 1.446160 0.55897224  1.788998 0.84255169
#> 185  143.342543 0.08352422 0.6916364 1.445846 0.55916368  1.788385 0.84299989
#> 186  144.194294 0.08327717 0.6917850 1.445536 0.55935303  1.787780 0.84344422
#> 187  145.046046 0.08303230 0.6919319 1.445229 0.55954033  1.787181 0.84388476
#> 188  145.670000 0.08285428 0.6920385 1.445006 0.55967626  1.786747 0.84420510
#> 189  145.897798 0.08278957 0.6920772 1.444926 0.55972561  1.786590 0.84432155
#> 190  146.749550 0.08254896 0.6922209 1.444626 0.55990891  1.786005 0.84475465
#> 191  147.601301 0.08231044 0.6923631 1.444329 0.56009025  1.785427 0.84518411
#> 192  148.453053 0.08207397 0.6925038 1.444035 0.56026967  1.784855 0.84560997
#> 193  149.304805 0.08183953 0.6926429 1.443745 0.56044719  1.784289 0.84603230
#> 194  150.156557 0.08160708 0.6927806 1.443458 0.56062285  1.783730 0.84645113
#> 195  151.008308 0.08137661 0.6929168 1.443175 0.56079668  1.783177 0.84686652
#> 196  151.860060 0.08114807 0.6930516 1.442894 0.56096870  1.782631 0.84727852
#> 197  152.711812 0.08092146 0.6931850 1.442616 0.56113894  1.782090 0.84768716
#> 198  153.563564 0.08069672 0.6933170 1.442342 0.56130744  1.781555 0.84809250
#> 199  154.415315 0.08047386 0.6934477 1.442070 0.56147421  1.781026 0.84849458
#> 200  154.660000 0.08041017 0.6934850 1.441992 0.56152180  1.780875 0.84860949
#> 201  155.267067 0.08025282 0.6935770 1.441801 0.56163928  1.780502 0.84889344
#> 202  155.490000 0.08019527 0.6936106 1.441731 0.56168221  1.780366 0.84899731
#> 203  156.118819 0.08003360 0.6937050 1.441535 0.56180269  1.779984 0.84928913
#> 204  156.970571 0.07981617 0.6938316 1.441272 0.56196445  1.779472 0.84968169
#> 205  157.822322 0.07960050 0.6939570 1.441011 0.56212458  1.778965 0.85007116
#> 206  158.674074 0.07938657 0.6940812 1.440754 0.56228313  1.778463 0.85045758
#> 207  159.525826 0.07917435 0.6942040 1.440499 0.56244010  1.777967 0.85084099
#> 208  160.377578 0.07896382 0.6943257 1.440246 0.56259552  1.777476 0.85122142
#> 209  161.229329 0.07875497 0.6944462 1.439996 0.56274941  1.776990 0.85159893
#> 210  162.081081 0.07854777 0.6945654 1.439749 0.56290180  1.776509 0.85197354
#> 211  162.932833 0.07834219 0.6946835 1.439504 0.56305271  1.776033 0.85234529
#> 212  163.784585 0.07813822 0.6948005 1.439262 0.56320216  1.775561 0.85271423
#> 213  164.636336 0.07793583 0.6949163 1.439022 0.56335016  1.775095 0.85308037
#> 214  165.488088 0.07773500 0.6950309 1.438785 0.56349675  1.774633 0.85344377
#> 215  166.339840 0.07753573 0.6951445 1.438550 0.56364195  1.774176 0.85380445
#> 216  167.191592 0.07733797 0.6952570 1.438317 0.56378576  1.773723 0.85416244
#> 217  168.043343 0.07714172 0.6953684 1.438087 0.56392822  1.773275 0.85451779
#> 218  168.895095 0.07694696 0.6954788 1.437858 0.56406933  1.772832 0.85487052
#> 219  169.746847 0.07675367 0.6955881 1.437632 0.56420913  1.772392 0.85522067
#> 220  170.598599 0.07656182 0.6956964 1.437409 0.56434762  1.771958 0.85556826
#> 221  171.450350 0.07637141 0.6958037 1.437187 0.56448483  1.771527 0.85591333
#> 222  172.302102 0.07618241 0.6959099 1.436968 0.56462077  1.771100 0.85625591
#> 223  172.380000 0.07616520 0.6959196 1.436948 0.56463314  1.771061 0.85628712
#> 224  173.153854 0.07599481 0.6960152 1.436750 0.56475547  1.770678 0.85659603
#> 225  174.005606 0.07580858 0.6961195 1.436535 0.56488893  1.770260 0.85693372
#> 226  174.857357 0.07562372 0.6962229 1.436322 0.56502118  1.769845 0.85726900
#> 227  175.709109 0.07544021 0.6963253 1.436110 0.56515223  1.769435 0.85760191
#> 228  176.560861 0.07525802 0.6964268 1.435901 0.56528209  1.769028 0.85793247
#> 229  177.412613 0.07507715 0.6965274 1.435694 0.56541080  1.768626 0.85826072
#> 230  178.264364 0.07489757 0.6966270 1.435488 0.56553835  1.768227 0.85858667
#> 231  179.116116 0.07471928 0.6967258 1.435285 0.56566476  1.767832 0.85891036
#> 232  179.967868 0.07454225 0.6968237 1.435083 0.56579006  1.767440 0.85923181
#> 233  180.819620 0.07436648 0.6969207 1.434884 0.56591425  1.767052 0.85955105
#> 234  181.110000 0.07430684 0.6969535 1.434816 0.56595634  1.766921 0.85965938
#> 235  181.671371 0.07419194 0.6970168 1.434686 0.56603735  1.766668 0.85986809
#> 236  182.523123 0.07401863 0.6971121 1.434490 0.56615938  1.766287 0.86018298
#> 237  183.374875 0.07384653 0.6972066 1.434295 0.56628034  1.765910 0.86049573
#> 238  184.226627 0.07367562 0.6973002 1.434103 0.56640026  1.765536 0.86080636
#> 239  185.078378 0.07350589 0.6973930 1.433912 0.56651914  1.765165 0.86111491
#> 240  185.930130 0.07333733 0.6974850 1.433722 0.56663700  1.764798 0.86142138
#> 241  186.660000 0.07319381 0.6975633 1.433562 0.56673719  1.764486 0.86168238
#> 242  186.781882 0.07316993 0.6975763 1.433535 0.56675385  1.764434 0.86172582
#> 243  187.633634 0.07300366 0.6976667 1.433349 0.56686970  1.764074 0.86202823
#> 244  188.485385 0.07283853 0.6977564 1.433165 0.56698458  1.763716 0.86232864
#> 245  188.930000 0.07275277 0.6978029 1.433069 0.56704416  1.763531 0.86248467
#> 246  189.337137 0.07267451 0.6978453 1.432982 0.56709848  1.763362 0.86262708
#> 247  190.188889 0.07251159 0.6979334 1.432801 0.56721143  1.763011 0.86292357
#> 248  191.040641 0.07234976 0.6980208 1.432622 0.56732343  1.762663 0.86321812
#> 249  191.892392 0.07218902 0.6981075 1.432444 0.56743449  1.762318 0.86351075
#> 250  192.744144 0.07202933 0.6981934 1.432268 0.56754464  1.761976 0.86380150
#> 251  193.595896 0.07187071 0.6982787 1.432093 0.56765387  1.761637 0.86409037
#> 252  194.447648 0.07171313 0.6983632 1.431920 0.56776220  1.761301 0.86437740
#> 253  195.299399 0.07155658 0.6984470 1.431748 0.56786965  1.760968 0.86466259
#> 254  196.151151 0.07140105 0.6985301 1.431577 0.56797621  1.760637 0.86494597
#> 255  197.002903 0.07124653 0.6986126 1.431409 0.56808191  1.760310 0.86522756
#> 256  197.854655 0.07109300 0.6986943 1.431241 0.56818676  1.759985 0.86550737
#> 257  198.706406 0.07094047 0.6987755 1.431075 0.56829076  1.759663 0.86578543
#> 258  198.940000 0.07089881 0.6987976 1.431030 0.56831913  1.759575 0.86586138
#> 259  199.558158 0.07078892 0.6988559 1.430910 0.56839392  1.759343 0.86606175
#> 260  200.409910 0.07063833 0.6989357 1.430747 0.56849626  1.759027 0.86633635
#> 261  201.261662 0.07048870 0.6990149 1.430585 0.56859778  1.758712 0.86660926
#> 262  202.113413 0.07034001 0.6990934 1.430424 0.56869849  1.758401 0.86688047
#> 263  202.965165 0.07019226 0.6991713 1.430265 0.56879841  1.758092 0.86715003
#> 264  203.816917 0.07004544 0.6992486 1.430107 0.56889754  1.757786 0.86741793
#> 265  204.668669 0.06989954 0.6993252 1.429950 0.56899589  1.757482 0.86768420
#> 266  205.520420 0.06975454 0.6994013 1.429794 0.56909348  1.757181 0.86794886
#> 267  206.372172 0.06961045 0.6994768 1.429640 0.56919031  1.756882 0.86821191
#> 268  207.223924 0.06946724 0.6995517 1.429487 0.56928638  1.756585 0.86847338
#> 269  208.075676 0.06932491 0.6996260 1.429335 0.56938171  1.756291 0.86873329
#> 270  208.927427 0.06918346 0.6996997 1.429185 0.56947631  1.755999 0.86899164
#> 271  209.779179 0.06904287 0.6997728 1.429035 0.56957018  1.755710 0.86924846
#> 272  210.630931 0.06890313 0.6998454 1.428887 0.56966334  1.755423 0.86950376
#> 273  211.482683 0.06876423 0.6999175 1.428740 0.56975579  1.755138 0.86975755
#> 274  212.334434 0.06862617 0.6999889 1.428594 0.56984754  1.754855 0.87000985
#> 275  212.340000 0.06862527 0.6999894 1.428593 0.56984814  1.754854 0.87001149
#> 276  213.186186 0.06848894 0.7000599 1.428449 0.56993859  1.754575 0.87026067
#> 277  214.037938 0.06835253 0.7001303 1.428306 0.57002896  1.754297 0.87051003
#> 278  214.889690 0.06821694 0.7002001 1.428163 0.57011866  1.754021 0.87075795
#> 279  215.741441 0.06808214 0.7002695 1.428022 0.57020768  1.753747 0.87100443
#> 280  216.593193 0.06794814 0.7003383 1.427881 0.57029604  1.753475 0.87124949
#> 281  217.444945 0.06781493 0.7004066 1.427742 0.57038375  1.753206 0.87149314
#> 282  218.296697 0.06768250 0.7004744 1.427604 0.57047081  1.752938 0.87173540
#> 283  219.148448 0.06755085 0.7005417 1.427467 0.57055723  1.752673 0.87197628
#> 284  220.000200 0.06741996 0.7006085 1.427331 0.57064302  1.752409 0.87221579
#> 285  220.851952 0.06728982 0.7006748 1.427196 0.57072818  1.752148 0.87245395
#> 286  221.703704 0.06716044 0.7007407 1.427061 0.57081272  1.751888 0.87269077
#> 287  222.555455 0.06703180 0.7008060 1.426928 0.57089665  1.751631 0.87292626
#> 288  223.407207 0.06690390 0.7008709 1.426796 0.57097997  1.751375 0.87316044
#> 289  224.258959 0.06677672 0.7009353 1.426665 0.57106270  1.751121 0.87339331
#> 290  225.110711 0.06665027 0.7009992 1.426535 0.57114483  1.750869 0.87362489
#> 291  225.962462 0.06652454 0.7010627 1.426406 0.57122637  1.750619 0.87385519
#> 292  226.814214 0.06639951 0.7011257 1.426278 0.57130733  1.750371 0.87408422
#> 293  227.665966 0.06627518 0.7011883 1.426150 0.57138772  1.750125 0.87431200
#> 294  228.517718 0.06615156 0.7012504 1.426024 0.57146754  1.749881 0.87453853
#> 295  229.369469 0.06602862 0.7013121 1.425899 0.57154680  1.749638 0.87476383
#> 296  230.221221 0.06590636 0.7013734 1.425774 0.57162551  1.749397 0.87498791
#> 297  231.072973 0.06578478 0.7014342 1.425651 0.57170366  1.749158 0.87521077
#> 298  231.924725 0.06566387 0.7014946 1.425528 0.57178127  1.748921 0.87543244
#> 299  232.776476 0.06554362 0.7015545 1.425406 0.57185833  1.748685 0.87565291
#> 300  233.628228 0.06542404 0.7016141 1.425285 0.57193487  1.748451 0.87587221
#> 301  234.479980 0.06530510 0.7016732 1.425165 0.57201088  1.748219 0.87609034
#> 302  235.331732 0.06518681 0.7017319 1.425046 0.57208636  1.747988 0.87630731
#> 303  236.183483 0.06506917 0.7017903 1.424927 0.57216133  1.747759 0.87652313
#> 304  237.035235 0.06495215 0.7018482 1.424810 0.57223579  1.747531 0.87673782
#> 305  237.886987 0.06483577 0.7019057 1.424693 0.57230974  1.747306 0.87695138
#> 306  238.738739 0.06472001 0.7019628 1.424577 0.57238319  1.747081 0.87716382
#> 307  239.590490 0.06460486 0.7020196 1.424462 0.57245614  1.746859 0.87737515
#> 308  240.442242 0.06449033 0.7020759 1.424347 0.57252861  1.746638 0.87758539
#> 309  241.293994 0.06437641 0.7021319 1.424234 0.57260058  1.746418 0.87779453
#> 310  242.030000 0.06427845 0.7021800 1.424136 0.57266239  1.746230 0.87797439
#> 311  242.145746 0.06426309 0.7021875 1.424121 0.57267208  1.746200 0.87800260
#> 312  242.997497 0.06415036 0.7022428 1.424009 0.57274309  1.745984 0.87820960
#> 313  243.849249 0.06403823 0.7022976 1.423898 0.57281364  1.745768 0.87841553
#> 314  244.701001 0.06392668 0.7023521 1.423787 0.57288372  1.745555 0.87862042
#> 315  245.552753 0.06381571 0.7024062 1.423678 0.57295334  1.745343 0.87882426
#> 316  245.610000 0.06380827 0.7024099 1.423670 0.57295800  1.745329 0.87883792
#> 317  246.404505 0.06370532 0.7024600 1.423569 0.57302249  1.745132 0.87902707
#> 318  247.256256 0.06359550 0.7025134 1.423460 0.57309120  1.744923 0.87922885
#> 319  248.108008 0.06348624 0.7025665 1.423353 0.57315946  1.744715 0.87942962
#> 320  248.959760 0.06337755 0.7026192 1.423246 0.57322727  1.744509 0.87962937
#> 321  249.811512 0.06326941 0.7026716 1.423140 0.57329464  1.744304 0.87982813
#> 322  250.190000 0.06322153 0.7026948 1.423093 0.57332444  1.744213 0.87991614
#> 323  250.663263 0.06316182 0.7027236 1.423035 0.57336158  1.744100 0.88002590
#> 324  251.515015 0.06305478 0.7027753 1.422930 0.57342808  1.743898 0.88022268
#> 325  252.366767 0.06294829 0.7028267 1.422826 0.57349416  1.743697 0.88041849
#> 326  253.218519 0.06284233 0.7028777 1.422723 0.57355981  1.743497 0.88061334
#> 327  254.070270 0.06273690 0.7029284 1.422620 0.57362504  1.743299 0.88080722
#> 328  254.922022 0.06263201 0.7029788 1.422518 0.57368986  1.743102 0.88100015
#> 329  255.650000 0.06254277 0.7030216 1.422431 0.57374493  1.742935 0.88116430
#> 330  255.773774 0.06252763 0.7030288 1.422417 0.57375427  1.742906 0.88119214
#> 331  256.625526 0.06242378 0.7030786 1.422316 0.57381827  1.742712 0.88138320
#> 332  257.477277 0.06232045 0.7031280 1.422216 0.57388186  1.742519 0.88157332
#> 333  258.329029 0.06221762 0.7031771 1.422117 0.57394506  1.742327 0.88176253
#> 334  259.180781 0.06211530 0.7032259 1.422018 0.57400786  1.742136 0.88195082
#> 335  260.032533 0.06201349 0.7032744 1.421920 0.57407027  1.741947 0.88213821
#> 336  260.884284 0.06191217 0.7033226 1.421823 0.57413229  1.741759 0.88232470
#> 337  261.736036 0.06181135 0.7033705 1.421726 0.57419392  1.741572 0.88251029
#> 338  262.587788 0.06171102 0.7034181 1.421630 0.57425517  1.741386 0.88269501
#> 339  263.439540 0.06161118 0.7034653 1.421534 0.57431605  1.741202 0.88287884
#> 340  263.560000 0.06159710 0.7034720 1.421521 0.57432463  1.741176 0.88290477
#> 341  264.291291 0.06151182 0.7035123 1.421439 0.57437655  1.741018 0.88306181
#> 342  265.143043 0.06141294 0.7035591 1.421345 0.57443668  1.740836 0.88324392
#> 343  265.994795 0.06131453 0.7036055 1.421251 0.57449644  1.740655 0.88342516
#> 344  266.846547 0.06121660 0.7036516 1.421158 0.57455584  1.740475 0.88360556
#> 345  267.698298 0.06111913 0.7036975 1.421065 0.57461487  1.740296 0.88378511
#> 346  268.550050 0.06102213 0.7037431 1.420973 0.57467355  1.740118 0.88396383
#> 347  269.401802 0.06092559 0.7037884 1.420882 0.57473187  1.739942 0.88414172
#> 348  270.253554 0.06082951 0.7038334 1.420791 0.57478985  1.739766 0.88431878
#> 349  271.105305 0.06073388 0.7038781 1.420700 0.57484747  1.739592 0.88449503
#> 350  271.957057 0.06063869 0.7039226 1.420611 0.57490475  1.739419 0.88467047
#> 351  272.808809 0.06054396 0.7039668 1.420521 0.57496169  1.739246 0.88484510
#> 352  273.340000 0.06048510 0.7039943 1.420466 0.57499703  1.739139 0.88495360
#> 353  273.660561 0.06044966 0.7040108 1.420433 0.57501829  1.739075 0.88501893
#> 354  274.512312 0.06035581 0.7040545 1.420345 0.57507455  1.738905 0.88519197
#> 355  275.364064 0.06026239 0.7040979 1.420257 0.57513049  1.738736 0.88536423
#> 356  276.215816 0.06016941 0.7041411 1.420170 0.57518609  1.738568 0.88553570
#> 357  277.067568 0.06007685 0.7041840 1.420083 0.57524136  1.738401 0.88570640
#> 358  277.919319 0.05998472 0.7042267 1.419997 0.57529631  1.738235 0.88587633
#> 359  278.771071 0.05989301 0.7042691 1.419912 0.57535094  1.738070 0.88604550
#> 360  279.480000 0.05981700 0.7043042 1.419841 0.57539617  1.737933 0.88618572
#> 361  279.622823 0.05980172 0.7043112 1.419827 0.57540525  1.737906 0.88621391
#> 362  280.474575 0.05971085 0.7043531 1.419742 0.57545925  1.737743 0.88638157
#> 363  281.326326 0.05962039 0.7043948 1.419658 0.57551293  1.737580 0.88654848
#> 364  282.178078 0.05953034 0.7044362 1.419575 0.57556630  1.737419 0.88671465
#> 365  283.029830 0.05944070 0.7044774 1.419492 0.57561937  1.737259 0.88688009
#> 366  283.881582 0.05935146 0.7045184 1.419409 0.57567213  1.737100 0.88704480
#> 367  284.733333 0.05926262 0.7045591 1.419327 0.57572459  1.736942 0.88720878
#> 368  285.585085 0.05917418 0.7045996 1.419246 0.57577674  1.736784 0.88737205
#> 369  285.640000 0.05916849 0.7046022 1.419241 0.57578010  1.736774 0.88738255
#> 370  286.436837 0.05908613 0.7046398 1.419165 0.57582860  1.736628 0.88753460
#> 371  287.288589 0.05899848 0.7046799 1.419084 0.57588017  1.736472 0.88769644
#> 372  288.140340 0.05891121 0.7047197 1.419004 0.57593145  1.736318 0.88785758
#> 373  288.992092 0.05882433 0.7047592 1.418924 0.57598243  1.736164 0.88801802
#> 374  289.843844 0.05873784 0.7047986 1.418845 0.57603313  1.736011 0.88817777
#> 375  290.695596 0.05865172 0.7048377 1.418766 0.57608354  1.735859 0.88833683
#> 376  291.547347 0.05856599 0.7048766 1.418688 0.57613367  1.735708 0.88849521
#> 377  292.399099 0.05848062 0.7049153 1.418610 0.57618353  1.735558 0.88865291
#> 378  293.250851 0.05839563 0.7049537 1.418533 0.57623310  1.735409 0.88880993
#> 379  294.102603 0.05831101 0.7049920 1.418456 0.57628240  1.735260 0.88896629
#> 380  294.954354 0.05822676 0.7050300 1.418379 0.57633142  1.735113 0.88912198
#> 381  295.806106 0.05814287 0.7050679 1.418303 0.57638018  1.734966 0.88927701
#> 382  296.657858 0.05805934 0.7051055 1.418228 0.57642867  1.734820 0.88943139
#> 383  297.509610 0.05797617 0.7051429 1.418152 0.57647689  1.734675 0.88958512
#> 384  298.361361 0.05789335 0.7051801 1.418077 0.57652484  1.734531 0.88973821
#> 385  299.213113 0.05781089 0.7052171 1.418003 0.57657254  1.734387 0.88989065
#> 386  300.064865 0.05772879 0.7052539 1.417929 0.57661997  1.734244 0.89004246
#> 387  300.916617 0.05764703 0.7052905 1.417856 0.57666715  1.734103 0.89019363
#> 388  301.768368 0.05756561 0.7053269 1.417782 0.57671407  1.733962 0.89034418
#> 389  302.390000 0.05750641 0.7053533 1.417729 0.57674815  1.733859 0.89045366
#> 390  302.620120 0.05748455 0.7053631 1.417710 0.57676074  1.733821 0.89049410
#> 391  303.471872 0.05740382 0.7053991 1.417637 0.57680715  1.733682 0.89064341
#> 392  304.323624 0.05732343 0.7054349 1.417565 0.57685332  1.733543 0.89079210
#> 393  305.175375 0.05724338 0.7054705 1.417494 0.57689924  1.733405 0.89094018
#> 394  306.027127 0.05716366 0.7055059 1.417423 0.57694491  1.733268 0.89108765
#> 395  306.878879 0.05708428 0.7055412 1.417352 0.57699035  1.733131 0.89123452
#> 396  307.730631 0.05700522 0.7055762 1.417281 0.57703553  1.732996 0.89138080
#> 397  308.582382 0.05692649 0.7056111 1.417211 0.57708048  1.732861 0.89152648
#> 398  309.434134 0.05684809 0.7056457 1.417142 0.57712520  1.732726 0.89167157
#> 399  310.285886 0.05677001 0.7056802 1.417072 0.57716967  1.732593 0.89181607
#> 400  311.137638 0.05669225 0.7057145 1.417004 0.57721392  1.732460 0.89195999
#> 401  311.989389 0.05661481 0.7057487 1.416935 0.57725793  1.732328 0.89210334
#> 402  312.841141 0.05653769 0.7057826 1.416867 0.57730171  1.732197 0.89224611
#> 403  313.692893 0.05646088 0.7058164 1.416799 0.57734526  1.732066 0.89238831
#> 404  314.544645 0.05638439 0.7058500 1.416732 0.57738858  1.731936 0.89252994
#> 405  315.396396 0.05630820 0.7058834 1.416665 0.57743168  1.731807 0.89267101
#> 406  316.248148 0.05623232 0.7059166 1.416598 0.57747456  1.731678 0.89281152
#> 407  317.099900 0.05615675 0.7059497 1.416531 0.57751722  1.731550 0.89295148
#> 408  317.951652 0.05608148 0.7059826 1.416465 0.57755965  1.731423 0.89309088
#> 409  318.803403 0.05600651 0.7060153 1.416400 0.57760187  1.731296 0.89322974
#> 410  319.655155 0.05593184 0.7060479 1.416334 0.57764387  1.731170 0.89336805
#> 411  320.506907 0.05585748 0.7060803 1.416270 0.57768566  1.731045 0.89350582
#> 412  321.358659 0.05578340 0.7061125 1.416205 0.57772723  1.730921 0.89364305
#> 413  321.860000 0.05573994 0.7061314 1.416167 0.57775160  1.730848 0.89372358
#> 414  322.210410 0.05570962 0.7061446 1.416141 0.57776859  1.730797 0.89377975
#> 415  323.062162 0.05563614 0.7061765 1.416077 0.57780975  1.730673 0.89391592
#> 416  323.913914 0.05556294 0.7062082 1.416013 0.57785069  1.730551 0.89405156
#> 417  324.765666 0.05549003 0.7062398 1.415950 0.57789143  1.730429 0.89418668
#> 418  325.617417 0.05541741 0.7062712 1.415887 0.57793196  1.730307 0.89432128
#> 419  326.469169 0.05534507 0.7063025 1.415824 0.57797229  1.730187 0.89445536
#> 420  327.320921 0.05527301 0.7063336 1.415762 0.57801242  1.730067 0.89458893
#> 421  328.172673 0.05520123 0.7063645 1.415700 0.57805234  1.729947 0.89472198
#> 422  329.024424 0.05512974 0.7063953 1.415638 0.57809207  1.729828 0.89485453
#> 423  329.876176 0.05505852 0.7064260 1.415577 0.57813160  1.729710 0.89498658
#> 424  330.727928 0.05498757 0.7064564 1.415515 0.57817093  1.729592 0.89511813
#> 425  331.579680 0.05491690 0.7064868 1.415455 0.57821007  1.729475 0.89524918
#> 426  332.431431 0.05484651 0.7065169 1.415394 0.57824902  1.729359 0.89537973
#> 427  333.283183 0.05477638 0.7065470 1.415334 0.57828777  1.729243 0.89550979
#> 428  334.134935 0.05470652 0.7065769 1.415274 0.57832634  1.729128 0.89563937
#> 429  334.986687 0.05463692 0.7066066 1.415215 0.57836471  1.729013 0.89576846
#> 430  335.838438 0.05456759 0.7066362 1.415155 0.57840290  1.728899 0.89589707
#> 431  336.690190 0.05449853 0.7066656 1.415096 0.57844090  1.728785 0.89602519
#> 432  337.541942 0.05442972 0.7066949 1.415038 0.57847872  1.728672 0.89615285
#> 433  338.393694 0.05436118 0.7067241 1.414979 0.57851635  1.728560 0.89628003
#> 434  339.245445 0.05429289 0.7067531 1.414921 0.57855381  1.728448 0.89640674
#> 435  340.097197 0.05422486 0.7067820 1.414863 0.57859108  1.728336 0.89653298
#> 436  340.948949 0.05415709 0.7068107 1.414806 0.57862817  1.728226 0.89665876
#> 437  341.800701 0.05408957 0.7068393 1.414749 0.57866508  1.728115 0.89678407
#> 438  342.652452 0.05402230 0.7068678 1.414692 0.57870182  1.728006 0.89690893
#> 439  343.504204 0.05395528 0.7068961 1.414635 0.57873838  1.727896 0.89703333
#> 440  344.355956 0.05388851 0.7069243 1.414579 0.57877476  1.727788 0.89715728
#> 441  345.207708 0.05382199 0.7069523 1.414522 0.57881098  1.727680 0.89728078
#> 442  346.059459 0.05375571 0.7069803 1.414467 0.57884702  1.727572 0.89740383
#> 443  346.911211 0.05368968 0.7070081 1.414411 0.57888289  1.727465 0.89752643
#> 444  347.540000 0.05364109 0.7070285 1.414370 0.57890926  1.727386 0.89761666
#> 445  347.762963 0.05362389 0.7070357 1.414356 0.57891859  1.727359 0.89764860
#> 446  348.614715 0.05355834 0.7070632 1.414301 0.57895412  1.727253 0.89777032
#> 447  349.466466 0.05349304 0.7070906 1.414246 0.57898949  1.727147 0.89789161
#> 448  350.318218 0.05342797 0.7071179 1.414191 0.57902469  1.727042 0.89801246
#> 449  351.169970 0.05336313 0.7071450 1.414137 0.57905972  1.726938 0.89813288
#> 450  352.021722 0.05329853 0.7071720 1.414083 0.57909459  1.726834 0.89825287
#> 451  352.873473 0.05323417 0.7071989 1.414029 0.57912930  1.726730 0.89837244
#> 452  353.725225 0.05317004 0.7072257 1.413976 0.57916385  1.726627 0.89849158
#> 453  354.576977 0.05310614 0.7072523 1.413923 0.57919824  1.726525 0.89861030
#> 454  355.428729 0.05304247 0.7072788 1.413870 0.57923246  1.726423 0.89872860
#> 455  356.280480 0.05297903 0.7073052 1.413817 0.57926653  1.726321 0.89884648
#> 456  357.132232 0.05291581 0.7073315 1.413764 0.57930045  1.726220 0.89896395
#> 457  357.983984 0.05285282 0.7073576 1.413712 0.57933420  1.726119 0.89908101
#> 458  358.835736 0.05279006 0.7073836 1.413660 0.57936781  1.726019 0.89919765
#> 459  359.687487 0.05272752 0.7074095 1.413608 0.57940126  1.725920 0.89931390
#> 460  360.150000 0.05269365 0.7074235 1.413580 0.57941936  1.725866 0.89937685
#> 461  360.539239 0.05266520 0.7074353 1.413557 0.57943455  1.725820 0.89942973
#> 462  361.390991 0.05260310 0.7074610 1.413506 0.57946770  1.725722 0.89954517
#> 463  362.220000 0.05254287 0.7074858 1.413456 0.57949981  1.725626 0.89965713
#> 464  362.242743 0.05254122 0.7074865 1.413454 0.57950069  1.725623 0.89966020
#> 465  363.094494 0.05247956 0.7075120 1.413404 0.57953354  1.725526 0.89977484
#> 466  363.946246 0.05241811 0.7075373 1.413353 0.57956623  1.725428 0.89988908
#> 467  364.797998 0.05235688 0.7075625 1.413303 0.57959878  1.725331 0.90000293
#> 468  365.649750 0.05229587 0.7075876 1.413253 0.57963119  1.725235 0.90011639
#> 469  366.501502 0.05223506 0.7076125 1.413203 0.57966344  1.725139 0.90022945
#> 470  367.353253 0.05217447 0.7076374 1.413153 0.57969556  1.725043 0.90034214
#> 471  368.205005 0.05211409 0.7076622 1.413104 0.57972752  1.724948 0.90045444
#> 472  369.056757 0.05205392 0.7076868 1.413054 0.57975935  1.724854 0.90056635
#> 473  369.908509 0.05199395 0.7077113 1.413006 0.57979104  1.724759 0.90067789
#> 474  370.760260 0.05193420 0.7077357 1.412957 0.57982258  1.724666 0.90078905
#> 475  371.612012 0.05187464 0.7077601 1.412908 0.57985398  1.724572 0.90089983
#> 476  372.463764 0.05181530 0.7077843 1.412860 0.57988525  1.724479 0.90101024
#> 477  373.315516 0.05175615 0.7078084 1.412812 0.57991638  1.724387 0.90112028
#> 478  374.167267 0.05169721 0.7078323 1.412764 0.57994737  1.724294 0.90122995
#> 479  375.019019 0.05163847 0.7078562 1.412716 0.57997822  1.724203 0.90133926
#> 480  375.870771 0.05157993 0.7078800 1.412669 0.58000894  1.724111 0.90144819
#> 481  376.722523 0.05152158 0.7079037 1.412622 0.58003953  1.724020 0.90155677
#> 482  377.574274 0.05146344 0.7079273 1.412575 0.58006998  1.723930 0.90166498
#> 483  378.426026 0.05140549 0.7079507 1.412528 0.58010030  1.723840 0.90177284
#> 484  379.277778 0.05134774 0.7079741 1.412481 0.58013048  1.723750 0.90188033
#> 485  380.129530 0.05129018 0.7079974 1.412435 0.58016054  1.723661 0.90198748
#> 486  380.981281 0.05123281 0.7080205 1.412388 0.58019047  1.723572 0.90209427
#> 487  381.833033 0.05117564 0.7080436 1.412342 0.58022026  1.723483 0.90220071
#> 488  382.684785 0.05111865 0.7080665 1.412297 0.58024993  1.723395 0.90230680
#> 489  383.536537 0.05106186 0.7080894 1.412251 0.58027947  1.723308 0.90241254
#> 490  384.388288 0.05100526 0.7081122 1.412206 0.58030889  1.723220 0.90251793
#> 491  385.240040 0.05094884 0.7081348 1.412160 0.58033818  1.723133 0.90262299
#> 492  386.091792 0.05089261 0.7081574 1.412115 0.58036734  1.723047 0.90272770
#> 493  386.943544 0.05083656 0.7081799 1.412071 0.58039638  1.722960 0.90283207
#> 494  387.795295 0.05078071 0.7082023 1.412026 0.58042529  1.722875 0.90293610
#> 495  388.647047 0.05072503 0.7082245 1.411982 0.58045409  1.722789 0.90303980
#> 496  389.498799 0.05066954 0.7082467 1.411937 0.58048276  1.722704 0.90314316
#> 497  390.350551 0.05061423 0.7082688 1.411893 0.58051131  1.722619 0.90324619
#> 498  391.202302 0.05055910 0.7082908 1.411849 0.58053974  1.722535 0.90334889
#> 499  392.054054 0.05050415 0.7083127 1.411806 0.58056805  1.722451 0.90345126
#> 500  392.905806 0.05044937 0.7083345 1.411762 0.58059624  1.722367 0.90355331
#> 501  393.757558 0.05039478 0.7083563 1.411719 0.58062431  1.722284 0.90365503
#> 502  394.609309 0.05034036 0.7083779 1.411676 0.58065227  1.722201 0.90375642
#> 503  395.461061 0.05028612 0.7083994 1.411633 0.58068011  1.722119 0.90385749
#> 504  396.312813 0.05023205 0.7084209 1.411590 0.58070783  1.722036 0.90395825
#> 505  397.164565 0.05017816 0.7084422 1.411548 0.58073544  1.721954 0.90405868
#> 506  398.016316 0.05012444 0.7084635 1.411505 0.58076293  1.721873 0.90415880
#> 507  398.868068 0.05007090 0.7084847 1.411463 0.58079031  1.721792 0.90425860
#> 508  399.719820 0.05001752 0.7085058 1.411421 0.58081758  1.721711 0.90435808
#> 509  400.571572 0.04996432 0.7085268 1.411379 0.58084474  1.721630 0.90445726
#> 510  401.423323 0.04991128 0.7085477 1.411338 0.58087178  1.721550 0.90455612
#> 511  402.275075 0.04985841 0.7085686 1.411296 0.58089871  1.721471 0.90465468
#> 512  403.126827 0.04980571 0.7085893 1.411255 0.58092553  1.721391 0.90475293
#> 513  403.978579 0.04975318 0.7086100 1.411214 0.58095224  1.721312 0.90485087
#> 514  404.830330 0.04970081 0.7086306 1.411173 0.58097885  1.721233 0.90494851
#> 515  405.682082 0.04964861 0.7086511 1.411132 0.58100534  1.721155 0.90504585
#> 516  406.533834 0.04959657 0.7086715 1.411091 0.58103173  1.721076 0.90514289
#> 517  407.385586 0.04954470 0.7086918 1.411051 0.58105801  1.720999 0.90523963
#> 518  408.237337 0.04949298 0.7087120 1.411010 0.58108418  1.720921 0.90533607
#> 519  409.089089 0.04944143 0.7087322 1.410970 0.58111025  1.720844 0.90543221
#> 520  409.940841 0.04939004 0.7087523 1.410930 0.58113622  1.720767 0.90552806
#> 521  410.160000 0.04937685 0.7087574 1.410920 0.58114288  1.720747 0.90555267
#> 522  410.792593 0.04933881 0.7087723 1.410890 0.58116207  1.720690 0.90562361
#> 523  411.644344 0.04928774 0.7087922 1.410851 0.58118783  1.720614 0.90571888
#> 524  412.496096 0.04923683 0.7088121 1.410811 0.58121348  1.720538 0.90581385
#> 525  413.347848 0.04918607 0.7088318 1.410772 0.58123903  1.720463 0.90590854
#> 526  413.860000 0.04915563 0.7088437 1.410748 0.58125434  1.720417 0.90596533
#> 527  414.199600 0.04913548 0.7088515 1.410733 0.58126448  1.720387 0.90600294
#> 528  415.051351 0.04908503 0.7088711 1.410694 0.58128983  1.720312 0.90609705
#> 529  415.903103 0.04903474 0.7088906 1.410655 0.58131507  1.720238 0.90619088
#> 530  416.754855 0.04898461 0.7089101 1.410616 0.58134022  1.720163 0.90628442
#> 531  417.606607 0.04893463 0.7089295 1.410578 0.58136526  1.720089 0.90637769
#> 532  418.458358 0.04888480 0.7089487 1.410539 0.58139021  1.720015 0.90647067
#> 533  419.310110 0.04883513 0.7089680 1.410501 0.58141506  1.719942 0.90656337
#> 534  420.161862 0.04878560 0.7089871 1.410463 0.58143981  1.719868 0.90665580
#> 535  421.013614 0.04873623 0.7090062 1.410425 0.58146446  1.719796 0.90674795
#> 536  421.865365 0.04868701 0.7090252 1.410387 0.58148902  1.719723 0.90683983
#> 537  422.717117 0.04863793 0.7090441 1.410350 0.58151348  1.719651 0.90693143
#> 538  423.568869 0.04858900 0.7090629 1.410312 0.58153785  1.719579 0.90702277
#> 539  424.420621 0.04854022 0.7090817 1.410275 0.58156212  1.719507 0.90711383
#> 540  425.272372 0.04849159 0.7091004 1.410238 0.58158630  1.719435 0.90720462
#> 541  426.124124 0.04844310 0.7091190 1.410201 0.58161038  1.719364 0.90729515
#> 542  426.975876 0.04839476 0.7091376 1.410164 0.58163437  1.719293 0.90738541
#> 543  427.827628 0.04834656 0.7091560 1.410127 0.58165826  1.719223 0.90747540
#> 544  428.679379 0.04829851 0.7091745 1.410090 0.58168207  1.719152 0.90756513
#> 545  429.531131 0.04825060 0.7091928 1.410054 0.58170578  1.719082 0.90765459
#> 546  430.382883 0.04820283 0.7092111 1.410018 0.58172940  1.719012 0.90774380
#> 547  431.234635 0.04815520 0.7092292 1.409981 0.58175293  1.718943 0.90783275
#> 548  432.086386 0.04810771 0.7092474 1.409945 0.58177638  1.718874 0.90792143
#> 549  432.938138 0.04806037 0.7092654 1.409909 0.58179973  1.718805 0.90800986
#> 550  433.789890 0.04801316 0.7092834 1.409874 0.58182299  1.718736 0.90809804
#> 551  434.641642 0.04796609 0.7093013 1.409838 0.58184616  1.718667 0.90818595
#> 552  435.493393 0.04791916 0.7093192 1.409803 0.58186925  1.718599 0.90827362
#> 553  436.345145 0.04787237 0.7093370 1.409767 0.58189225  1.718531 0.90836103
#> 554  437.196897 0.04782571 0.7093547 1.409732 0.58191516  1.718464 0.90844819
#> 555  438.048649 0.04777919 0.7093723 1.409697 0.58193798  1.718396 0.90853510
#> 556  438.900400 0.04773281 0.7093899 1.409662 0.58196072  1.718329 0.90862176
#> 557  439.752152 0.04768656 0.7094074 1.409627 0.58198338  1.718262 0.90870818
#> 558  440.603904 0.04764045 0.7094249 1.409593 0.58200594  1.718196 0.90879434
#> 559  441.455656 0.04759447 0.7094422 1.409558 0.58202843  1.718129 0.90888026
#> 560  442.307407 0.04754862 0.7094596 1.409524 0.58205083  1.718063 0.90896594
#> 561  443.159159 0.04750290 0.7094768 1.409489 0.58207314  1.717997 0.90905138
#> 562  444.010911 0.04745732 0.7094940 1.409455 0.58209538  1.717932 0.90913657
#> 563  444.862663 0.04741186 0.7095111 1.409421 0.58211752  1.717866 0.90922152
#> 564  445.100000 0.04739922 0.7095159 1.409412 0.58212368  1.717848 0.90924515
#> 565  445.714414 0.04736654 0.7095282 1.409387 0.58213959  1.717801 0.90930623
#> 566  446.566166 0.04732135 0.7095452 1.409354 0.58216158  1.717736 0.90939071
#> 567  447.417918 0.04727628 0.7095621 1.409320 0.58218348  1.717672 0.90947494
#> 568  448.269670 0.04723135 0.7095790 1.409286 0.58220531  1.717607 0.90955894
#> 569  449.121421 0.04718654 0.7095958 1.409253 0.58222705  1.717543 0.90964271
#> 570  449.790000 0.04715146 0.7096089 1.409227 0.58224406  1.717493 0.90970829
#> 571  449.973173 0.04714186 0.7096125 1.409220 0.58224871  1.717479 0.90972624
#> 572  450.824925 0.04709730 0.7096292 1.409187 0.58227029  1.717415 0.90980954
#> 573  451.676677 0.04705288 0.7096458 1.409154 0.58229180  1.717352 0.90989260
#> 574  452.528428 0.04700857 0.7096624 1.409121 0.58231322  1.717289 0.90997544
#> 575  453.380180 0.04696440 0.7096789 1.409088 0.58233457  1.717226 0.91005804
#> 576  454.231932 0.04692034 0.7096953 1.409055 0.58235584  1.717163 0.91014042
#> 577  455.083684 0.04687641 0.7097117 1.409023 0.58237703  1.717101 0.91022257
#> 578  455.935435 0.04683261 0.7097280 1.408990 0.58239815  1.717038 0.91030449
#> 579  456.787187 0.04678892 0.7097443 1.408958 0.58241919  1.716976 0.91038619
#> 580  457.638939 0.04674536 0.7097605 1.408926 0.58244015  1.716915 0.91046766
#> 581  458.490691 0.04670192 0.7097766 1.408894 0.58246104  1.716853 0.91054891
#> 582  459.342442 0.04665860 0.7097927 1.408862 0.58248185  1.716792 0.91062993
#> 583  460.194194 0.04661540 0.7098088 1.408830 0.58250258  1.716731 0.91071074
#> 584  461.045946 0.04657232 0.7098247 1.408798 0.58252324  1.716670 0.91079132
#> 585  461.897698 0.04652936 0.7098406 1.408767 0.58254383  1.716609 0.91087169
#> 586  462.749449 0.04648652 0.7098565 1.408735 0.58256435  1.716549 0.91095184
#> 587  463.601201 0.04644380 0.7098723 1.408704 0.58258479  1.716488 0.91103177
#> 588  464.452953 0.04640119 0.7098880 1.408673 0.58260515  1.716428 0.91111148
#> 589  465.304705 0.04635870 0.7099037 1.408642 0.58262545  1.716369 0.91119098
#> 590  466.156456 0.04631633 0.7099193 1.408611 0.58264567  1.716309 0.91127026
#> 591  467.008208 0.04627407 0.7099349 1.408580 0.58266582  1.716250 0.91134933
#> 592  467.859960 0.04623193 0.7099504 1.408549 0.58268590  1.716190 0.91142819
#> 593  468.711712 0.04618991 0.7099659 1.408518 0.58270591  1.716132 0.91150683
#> 594  469.563463 0.04614800 0.7099813 1.408488 0.58272585  1.716073 0.91158527
#> 595  470.415215 0.04610620 0.7099967 1.408457 0.58274572  1.716014 0.91166349
#> 596  471.266967 0.04606451 0.7100120 1.408427 0.58276552  1.715956 0.91174151
#> 597  472.118719 0.04602294 0.7100272 1.408397 0.58278524  1.715898 0.91181931
#> 598  472.970470 0.04598148 0.7100424 1.408367 0.58280490  1.715840 0.91189692
#> 599  473.822222 0.04594014 0.7100575 1.408337 0.58282449  1.715782 0.91197431
#> 600  474.673974 0.04589890 0.7100726 1.408307 0.58284402  1.715725 0.91205150
#> 601  475.020000 0.04588218 0.7100787 1.408295 0.58285193  1.715702 0.91208280
#> 602  475.525726 0.04585778 0.7100876 1.408277 0.58286347  1.715668 0.91212849
#> 603  476.377477 0.04581676 0.7101026 1.408247 0.58288286  1.715611 0.91220527
#> 604  477.229229 0.04577586 0.7101175 1.408218 0.58290218  1.715554 0.91228185
#> 605  478.080981 0.04573506 0.7101324 1.408188 0.58292143  1.715497 0.91235823
#> 606  478.932733 0.04569437 0.7101472 1.408159 0.58294061  1.715441 0.91243441
#> 607  479.784484 0.04565380 0.7101620 1.408129 0.58295973  1.715384 0.91251038
#> 608  480.636236 0.04561333 0.7101767 1.408100 0.58297878  1.715328 0.91258616
#> 609  481.487988 0.04557296 0.7101914 1.408071 0.58299777  1.715272 0.91266175
#> 610  482.339740 0.04553271 0.7102060 1.408042 0.58301669  1.715217 0.91273713
#> 611  483.191491 0.04549256 0.7102206 1.408013 0.58303555  1.715161 0.91281232
#> 612  484.043243 0.04545252 0.7102351 1.407984 0.58305434  1.715106 0.91288731
#> 613  484.710000 0.04542124 0.7102464 1.407962 0.58306901  1.715063 0.91294588
#> 614  484.894995 0.04541258 0.7102496 1.407956 0.58307307  1.715051 0.91296211
#> 615  485.746747 0.04537274 0.7102640 1.407927 0.58309173  1.714996 0.91303671
#> 616  486.598498 0.04533302 0.7102784 1.407899 0.58311033  1.714941 0.91311112
#> 617  487.450250 0.04529339 0.7102927 1.407870 0.58312887  1.714887 0.91318534
#> 618  488.302002 0.04525387 0.7103070 1.407842 0.58314735  1.714832 0.91325937
#> 619  489.153754 0.04521446 0.7103212 1.407814 0.58316576  1.714778 0.91333321
#> 620  490.005506 0.04517514 0.7103354 1.407786 0.58318411  1.714724 0.91340686
#> 621  490.857257 0.04513593 0.7103495 1.407758 0.58320239  1.714671 0.91348032
#> 622  491.709009 0.04509682 0.7103636 1.407730 0.58322062  1.714617 0.91355359
#> 623  492.560761 0.04505781 0.7103776 1.407702 0.58323878  1.714564 0.91362667
#> 624  493.412513 0.04501890 0.7103916 1.407674 0.58325688  1.714510 0.91369957
#> 625  494.264264 0.04498010 0.7104055 1.407647 0.58327493  1.714457 0.91377228
#> 626  495.116016 0.04494139 0.7104194 1.407619 0.58329291  1.714405 0.91384481
#> 627  495.967768 0.04490278 0.7104333 1.407592 0.58331083  1.714352 0.91391715
#> 628  496.819520 0.04486428 0.7104471 1.407564 0.58332869  1.714299 0.91398931
#> 629  497.671271 0.04482587 0.7104608 1.407537 0.58334649  1.714247 0.91406129
#> 630  498.523023 0.04478756 0.7104745 1.407510 0.58336423  1.714195 0.91413308
#> 631  499.374775 0.04474935 0.7104882 1.407483 0.58338192  1.714143 0.91420470
#> 632  500.226527 0.04471123 0.7105018 1.407456 0.58339954  1.714091 0.91427613
#> 633  501.078278 0.04467322 0.7105154 1.407429 0.58341711  1.714040 0.91434739
#> 634  501.930030 0.04463530 0.7105289 1.407402 0.58343462  1.713988 0.91441847
#> 635  502.781782 0.04459747 0.7105424 1.407376 0.58345207  1.713937 0.91448937
#> 636  503.633534 0.04455974 0.7105558 1.407349 0.58346946  1.713886 0.91456009
#> 637  504.485285 0.04452211 0.7105692 1.407323 0.58348680  1.713835 0.91463063
#> 638  505.337037 0.04448457 0.7105825 1.407296 0.58350408  1.713784 0.91470100
#> 639  506.188789 0.04444713 0.7105958 1.407270 0.58352130  1.713734 0.91477120
#> 640  507.040541 0.04440978 0.7106091 1.407243 0.58353846  1.713683 0.91484122
#> 641  507.892292 0.04437253 0.7106223 1.407217 0.58355557  1.713633 0.91491106
#> 642  508.744044 0.04433537 0.7106355 1.407191 0.58357263  1.713583 0.91498074
#> 643  509.595796 0.04429830 0.7106486 1.407165 0.58358962  1.713533 0.91505024
#> 644  510.447548 0.04426133 0.7106617 1.407139 0.58360657  1.713483 0.91511957
#> 645  511.299299 0.04422445 0.7106747 1.407113 0.58362345  1.713434 0.91518873
#> 646  512.151051 0.04418766 0.7106877 1.407088 0.58364029  1.713384 0.91525772
#> 647  513.002803 0.04415096 0.7107007 1.407062 0.58365707  1.713335 0.91532654
#> 648  513.854555 0.04411435 0.7107136 1.407037 0.58367379  1.713286 0.91539519
#> 649  514.706306 0.04407784 0.7107265 1.407011 0.58369046  1.713237 0.91546368
#> 650  515.558058 0.04404141 0.7107393 1.406986 0.58370708  1.713188 0.91553199
#> 651  516.409810 0.04400507 0.7107521 1.406960 0.58372364  1.713139 0.91560014
#> 652  517.261562 0.04396883 0.7107649 1.406935 0.58374015  1.713091 0.91566813
#> 653  518.113313 0.04393267 0.7107776 1.406910 0.58375661  1.713043 0.91573595
#> 654  518.965065 0.04389661 0.7107902 1.406885 0.58377301  1.712995 0.91580360
#> 655  519.816817 0.04386063 0.7108029 1.406860 0.58378936  1.712947 0.91587109
#> 656  520.668569 0.04382474 0.7108154 1.406835 0.58380566  1.712899 0.91593842
#> 657  521.520320 0.04378893 0.7108280 1.406810 0.58382191  1.712851 0.91600559
#> 658  522.372072 0.04375322 0.7108405 1.406785 0.58383810  1.712804 0.91607259
#> 659  523.223824 0.04371759 0.7108530 1.406761 0.58385425  1.712756 0.91613943
#> 660  523.700000 0.04369771 0.7108599 1.406747 0.58386325  1.712730 0.91617673
#> 661  524.075576 0.04368205 0.7108654 1.406736 0.58387034  1.712709 0.91620611
#> 662  524.927327 0.04364660 0.7108778 1.406712 0.58388638  1.712662 0.91627263
#> 663  525.779079 0.04361123 0.7108901 1.406687 0.58390237  1.712615 0.91633900
#> 664  526.630831 0.04357595 0.7109024 1.406663 0.58391832  1.712568 0.91640520
#> 665  527.482583 0.04354075 0.7109147 1.406639 0.58393421  1.712522 0.91647125
#> 666  528.334334 0.04350564 0.7109269 1.406614 0.58395005  1.712475 0.91653713
#> 667  529.186086 0.04347062 0.7109391 1.406590 0.58396584  1.712429 0.91660287
#> 668  530.037838 0.04343567 0.7109513 1.406566 0.58398158  1.712383 0.91666844
#> 669  530.889590 0.04340082 0.7109634 1.406542 0.58399727  1.712337 0.91673386
#> 670  531.741341 0.04336604 0.7109755 1.406518 0.58401291  1.712291 0.91679913
#> 671  532.593093 0.04333135 0.7109875 1.406494 0.58402851  1.712245 0.91686424
#> 672  533.444845 0.04329674 0.7109995 1.406471 0.58404405  1.712200 0.91692919
#> 673  534.296597 0.04326222 0.7110115 1.406447 0.58405955  1.712154 0.91699400
#> 674  535.148348 0.04322778 0.7110234 1.406423 0.58407500  1.712109 0.91705865
#> 675  536.000100 0.04319342 0.7110353 1.406400 0.58409040  1.712064 0.91712315
#> 676  536.851852 0.04315914 0.7110472 1.406376 0.58410575  1.712019 0.91718750
#> 677  537.703604 0.04312494 0.7110590 1.406353 0.58412106  1.711974 0.91725169
#> 678  538.555355 0.04309083 0.7110708 1.406330 0.58413632  1.711929 0.91731574
#> 679  539.407107 0.04305679 0.7110825 1.406307 0.58415153  1.711885 0.91737964
#> 680  540.258859 0.04302284 0.7110942 1.406283 0.58416670  1.711840 0.91744339
#> 681  541.110611 0.04298896 0.7111059 1.406260 0.58418181  1.711796 0.91750699
#> 682  541.962362 0.04295517 0.7111175 1.406237 0.58419688  1.711752 0.91757044
#> 683  542.814114 0.04292145 0.7111291 1.406214 0.58421191  1.711708 0.91763375
#> 684  543.665866 0.04288782 0.7111407 1.406192 0.58422689  1.711664 0.91769691
#> 685  544.517618 0.04285426 0.7111522 1.406169 0.58424182  1.711620 0.91775992
#> 686  545.369369 0.04282079 0.7111637 1.406146 0.58425671  1.711576 0.91782279
#> 687  546.221121 0.04278739 0.7111752 1.406123 0.58427155  1.711533 0.91788551
#> 688  547.072873 0.04275406 0.7111866 1.406101 0.58428635  1.711490 0.91794809
#> 689  547.924625 0.04272082 0.7111980 1.406078 0.58430110  1.711446 0.91801052
#> 690  548.776376 0.04268765 0.7112093 1.406056 0.58431581  1.711403 0.91807282
#> 691  549.628128 0.04265457 0.7112207 1.406033 0.58433048  1.711360 0.91813496
#> 692  550.479880 0.04262155 0.7112319 1.406011 0.58434510  1.711318 0.91819697
#> 693  551.331632 0.04258862 0.7112432 1.405989 0.58435967  1.711275 0.91825883
#> 694  552.183383 0.04255576 0.7112544 1.405967 0.58437420  1.711232 0.91832056
#> 695  553.035135 0.04252297 0.7112656 1.405945 0.58438869  1.711190 0.91838214
#> 696  553.886887 0.04249027 0.7112767 1.405923 0.58440313  1.711148 0.91844358
#> 697  554.380000 0.04247137 0.7112832 1.405910 0.58441147  1.711123 0.91847909
#> 698  554.738639 0.04245763 0.7112879 1.405901 0.58441753  1.711105 0.91850489
#> 699  555.590390 0.04242508 0.7112989 1.405879 0.58443189  1.711063 0.91856605
#> 700  556.442142 0.04239259 0.7113100 1.405857 0.58444620  1.711021 0.91862708
#> 701  557.293894 0.04236019 0.7113210 1.405835 0.58446048  1.710980 0.91868797
#> 702  558.145646 0.04232785 0.7113320 1.405813 0.58447471  1.710938 0.91874872
#> 703  558.997397 0.04229559 0.7113429 1.405792 0.58448889  1.710897 0.91880933
#> 704  559.849149 0.04226341 0.7113539 1.405770 0.58450304  1.710855 0.91886981
#> 705  560.700901 0.04223129 0.7113647 1.405749 0.58451714  1.710814 0.91893015
#> 706  561.552653 0.04219925 0.7113756 1.405727 0.58453120  1.710773 0.91899035
#> 707  562.404404 0.04216729 0.7113864 1.405706 0.58454522  1.710732 0.91905043
#> 708  563.256156 0.04213539 0.7113972 1.405684 0.58455920  1.710691 0.91911036
#> 709  564.107908 0.04210357 0.7114080 1.405663 0.58457313  1.710650 0.91917017
#> 710  564.959660 0.04207182 0.7114187 1.405642 0.58458703  1.710609 0.91922984
#> 711  565.811411 0.04204014 0.7114294 1.405621 0.58460088  1.710569 0.91928937
#> 712  566.663163 0.04200853 0.7114400 1.405600 0.58461470  1.710528 0.91934878
#> 713  567.514915 0.04197700 0.7114507 1.405579 0.58462847  1.710488 0.91940805
#> 714  568.366667 0.04194553 0.7114613 1.405558 0.58464220  1.710448 0.91946719
#> 715  569.218418 0.04191414 0.7114718 1.405537 0.58465589  1.710408 0.91952620
#> 716  570.070170 0.04188281 0.7114824 1.405516 0.58466955  1.710368 0.91958508
#> 717  570.921922 0.04185156 0.7114929 1.405495 0.58468316  1.710328 0.91964383
#> 718  571.773674 0.04182037 0.7115034 1.405475 0.58469673  1.710288 0.91970245
#> 719  572.625425 0.04178926 0.7115138 1.405454 0.58471027  1.710249 0.91976094
#> 720  573.477177 0.04175822 0.7115242 1.405434 0.58472376  1.710209 0.91981931
#> 721  574.328929 0.04172724 0.7115346 1.405413 0.58473722  1.710170 0.91987754
#> 722  575.180681 0.04169633 0.7115450 1.405393 0.58475063  1.710131 0.91993565
#> 723  576.032432 0.04166549 0.7115553 1.405372 0.58476401  1.710092 0.91999363
#> 724  576.884184 0.04163472 0.7115656 1.405352 0.58477735  1.710053 0.92005149
#> 725  577.735936 0.04160402 0.7115758 1.405332 0.58479065  1.710014 0.92010921
#> 726  578.587688 0.04157339 0.7115861 1.405311 0.58480391  1.709975 0.92016682
#> 727  579.439439 0.04154282 0.7115963 1.405291 0.58481713  1.709936 0.92022429
#> 728  580.291191 0.04151232 0.7116065 1.405271 0.58483032  1.709898 0.92028164
#> 729  581.142943 0.04148189 0.7116166 1.405251 0.58484347  1.709859 0.92033887
#> 730  581.994695 0.04145152 0.7116267 1.405231 0.58485658  1.709821 0.92039598
#> 731  582.846446 0.04142122 0.7116368 1.405211 0.58486965  1.709783 0.92045296
#> 732  583.698198 0.04139099 0.7116469 1.405191 0.58488269  1.709745 0.92050981
#> 733  584.549950 0.04136082 0.7116569 1.405172 0.58489569  1.709707 0.92056655
#> 734  585.401702 0.04133072 0.7116669 1.405152 0.58490865  1.709669 0.92062316
#> 735  586.253453 0.04130069 0.7116769 1.405132 0.58492157  1.709631 0.92067965
#> 736  587.105205 0.04127072 0.7116868 1.405112 0.58493446  1.709593 0.92073602
#> 737  587.956957 0.04124081 0.7116967 1.405093 0.58494731  1.709556 0.92079227
#> 738  588.808709 0.04121097 0.7117066 1.405073 0.58496013  1.709518 0.92084840
#> 739  589.660460 0.04118120 0.7117165 1.405054 0.58497291  1.709481 0.92090441
#> 740  590.512212 0.04115149 0.7117263 1.405034 0.58498565  1.709444 0.92096030
#> 741  591.363964 0.04112184 0.7117361 1.405015 0.58499836  1.709407 0.92101607
#> 742  592.215716 0.04109226 0.7117459 1.404996 0.58501103  1.709369 0.92107172
#> 743  593.067467 0.04106274 0.7117557 1.404977 0.58502366  1.709333 0.92112725
#> 744  593.919219 0.04103329 0.7117654 1.404957 0.58503626  1.709296 0.92118267
#> 745  594.770971 0.04100390 0.7117751 1.404938 0.58504883  1.709259 0.92123797
#> 746  595.622723 0.04097457 0.7117847 1.404919 0.58506136  1.709222 0.92129315
#> 747  596.474474 0.04094530 0.7117944 1.404900 0.58507385  1.709186 0.92134821
#> 748  597.326226 0.04091610 0.7118040 1.404881 0.58508631  1.709150 0.92140316
#> 749  598.177978 0.04088696 0.7118136 1.404862 0.58509874  1.709113 0.92145799
#> 750  599.029730 0.04085788 0.7118231 1.404843 0.58511113  1.709077 0.92151271
#> 751  599.881481 0.04082886 0.7118327 1.404825 0.58512348  1.709041 0.92156731
#> 752  600.733233 0.04079991 0.7118422 1.404806 0.58513580  1.709005 0.92162180
#> 753  601.584985 0.04077101 0.7118517 1.404787 0.58514809  1.708969 0.92167617
#> 754  602.436737 0.04074218 0.7118611 1.404768 0.58516035  1.708933 0.92173043
#> 755  603.288488 0.04071341 0.7118706 1.404750 0.58517256  1.708898 0.92178458
#> 756  604.140240 0.04068470 0.7118800 1.404731 0.58518475  1.708862 0.92183861
#> 757  604.991992 0.04065605 0.7118893 1.404713 0.58519690  1.708827 0.92189253
#> 758  605.843744 0.04062746 0.7118987 1.404694 0.58520902  1.708791 0.92194634
#> 759  606.695495 0.04059893 0.7119080 1.404676 0.58522111  1.708756 0.92200004
#> 760  607.547247 0.04057046 0.7119173 1.404658 0.58523316  1.708721 0.92205363
#> 761  608.398999 0.04054205 0.7119266 1.404639 0.58524518  1.708686 0.92210710
#> 762  609.250751 0.04051371 0.7119358 1.404621 0.58525717  1.708651 0.92216046
#> 763  610.102503 0.04048542 0.7119450 1.404603 0.58526912  1.708616 0.92221372
#> 764  610.954254 0.04045718 0.7119542 1.404585 0.58528104  1.708581 0.92226686
#> 765  611.806006 0.04042901 0.7119634 1.404567 0.58529293  1.708546 0.92231990
#> 766  612.657758 0.04040090 0.7119726 1.404549 0.58530479  1.708512 0.92237282
#> 767  612.980000 0.04039028 0.7119760 1.404542 0.58530926  1.708499 0.92239282
#> 768  613.509510 0.04037284 0.7119817 1.404531 0.58531661  1.708477 0.92242564
#> 769  614.361261 0.04034485 0.7119908 1.404513 0.58532840  1.708443 0.92247835
#> 770  615.213013 0.04031691 0.7119999 1.404495 0.58534016  1.708408 0.92253095
#> 771  616.064765 0.04028903 0.7120089 1.404477 0.58535189  1.708374 0.92258344
#> 772  616.740000 0.04026697 0.7120161 1.404463 0.58536116  1.708347 0.92262498
#> 773  616.916517 0.04026121 0.7120179 1.404459 0.58536358  1.708340 0.92263582
#> 774  617.768268 0.04023344 0.7120269 1.404441 0.58537525  1.708306 0.92268810
#> 775  618.620020 0.04020574 0.7120359 1.404424 0.58538688  1.708272 0.92274027
#> 776  619.260000 0.04018495 0.7120426 1.404410 0.58539560  1.708247 0.92277940
#> 777  619.471772 0.04017809 0.7120449 1.404406 0.58539848  1.708238 0.92279234
#> 778  620.323524 0.04015049 0.7120538 1.404388 0.58541006  1.708204 0.92284430
#> 779  621.175275 0.04012296 0.7120627 1.404371 0.58542160  1.708171 0.92289615
#> 780  622.027027 0.04009548 0.7120716 1.404353 0.58543310  1.708137 0.92294790
#> 781  622.878779 0.04006805 0.7120804 1.404336 0.58544458  1.708104 0.92299955
#> 782  623.730531 0.04004069 0.7120892 1.404318 0.58545603  1.708070 0.92305109
#> 783  624.582282 0.04001337 0.7120981 1.404301 0.58546745  1.708037 0.92310253
#> 784  625.434034 0.03998612 0.7121068 1.404284 0.58547883  1.708004 0.92315386
#> 785  626.130000 0.03996389 0.7121140 1.404270 0.58548811  1.707977 0.92319573
#> 786  626.285786 0.03995892 0.7121156 1.404266 0.58549019  1.707971 0.92320509
#> 787  627.137538 0.03993177 0.7121243 1.404249 0.58550151  1.707938 0.92325621
#> 788  627.989289 0.03990468 0.7121330 1.404232 0.58551281  1.707905 0.92330724
#> 789  628.841041 0.03987765 0.7121417 1.404215 0.58552407  1.707872 0.92335816
#> 790  629.692793 0.03985067 0.7121504 1.404198 0.58553531  1.707839 0.92340898
#> 791  630.544545 0.03982375 0.7121590 1.404181 0.58554652  1.707806 0.92345970
#> 792  631.396296 0.03979688 0.7121677 1.404164 0.58555769  1.707774 0.92351031
#> 793  632.248048 0.03977006 0.7121763 1.404147 0.58556884  1.707741 0.92356083
#> 794  633.099800 0.03974330 0.7121848 1.404130 0.58557996  1.707709 0.92361124
#> 795  633.951552 0.03971659 0.7121934 1.404113 0.58559104  1.707676 0.92366156
#> 796  634.803303 0.03968994 0.7122019 1.404096 0.58560210  1.707644 0.92371177
#> 797  635.655055 0.03966334 0.7122104 1.404079 0.58561313  1.707612 0.92376189
#> 798  636.506807 0.03963679 0.7122189 1.404063 0.58562413  1.707580 0.92381190
#> 799  637.358559 0.03961030 0.7122274 1.404046 0.58563511  1.707548 0.92386182
#> 800  638.210310 0.03958386 0.7122358 1.404029 0.58564605  1.707516 0.92391164
#> 801  639.062062 0.03955747 0.7122442 1.404013 0.58565696  1.707484 0.92396136
#> 802  639.913814 0.03953113 0.7122526 1.403996 0.58566785  1.707452 0.92401098
#> 803  640.765566 0.03950485 0.7122610 1.403980 0.58567871  1.707421 0.92406051
#> 804  641.617317 0.03947862 0.7122694 1.403963 0.58568954  1.707389 0.92410993
#> 805  642.469069 0.03945244 0.7122777 1.403947 0.58570034  1.707358 0.92415927
#> 806  643.320821 0.03942632 0.7122860 1.403930 0.58571111  1.707326 0.92420850
#> 807  644.172573 0.03940024 0.7122943 1.403914 0.58572186  1.707295 0.92425764
#> 808  645.024324 0.03937422 0.7123026 1.403898 0.58573258  1.707264 0.92430668
#> 809  645.876076 0.03934825 0.7123108 1.403882 0.58574327  1.707233 0.92435562
#> 810  646.727828 0.03932233 0.7123190 1.403865 0.58575393  1.707202 0.92440447
#> 811  647.579580 0.03929646 0.7123272 1.403849 0.58576457  1.707171 0.92445323
#> 812  648.431331 0.03927064 0.7123354 1.403833 0.58577517  1.707140 0.92450189
#> 813  649.283083 0.03924488 0.7123436 1.403817 0.58578575  1.707109 0.92455045
#> 814  650.134835 0.03921916 0.7123517 1.403801 0.58579631  1.707078 0.92459893
#> 815  650.986587 0.03919349 0.7123598 1.403785 0.58580683  1.707047 0.92464730
#> 816  651.838338 0.03916788 0.7123679 1.403769 0.58581733  1.707017 0.92469559
#> 817  652.690090 0.03914231 0.7123760 1.403753 0.58582780  1.706986 0.92474378
#> 818  653.541842 0.03911680 0.7123841 1.403737 0.58583825  1.706956 0.92479188
#> 819  654.393594 0.03909133 0.7123921 1.403721 0.58584867  1.706925 0.92483988
#> 820  655.245345 0.03906592 0.7124001 1.403706 0.58585906  1.706895 0.92488779
#> 821  656.097097 0.03904055 0.7124081 1.403690 0.58586943  1.706865 0.92493561
#> 822  656.948849 0.03901523 0.7124161 1.403674 0.58587977  1.706835 0.92498334
#> 823  657.800601 0.03898997 0.7124240 1.403658 0.58589008  1.706805 0.92503098
#> 824  658.652352 0.03896475 0.7124320 1.403643 0.58590037  1.706775 0.92507853
#> 825  659.504104 0.03893958 0.7124399 1.403627 0.58591063  1.706745 0.92512598
#> 826  660.355856 0.03891446 0.7124478 1.403612 0.58592086  1.706715 0.92517335
#> 827  661.207608 0.03888939 0.7124557 1.403596 0.58593107  1.706685 0.92522062
#> 828  662.059359 0.03886436 0.7124635 1.403581 0.58594126  1.706656 0.92526780
#> 829  662.911111 0.03883939 0.7124713 1.403565 0.58595141  1.706626 0.92531490
#> 830  663.762863 0.03881446 0.7124792 1.403550 0.58596155  1.706597 0.92536190
#> 831  664.614615 0.03878958 0.7124869 1.403534 0.58597165  1.706567 0.92540882
#> 832  665.466366 0.03876475 0.7124947 1.403519 0.58598173  1.706538 0.92545565
#> 833  666.318118 0.03873996 0.7125025 1.403504 0.58599179  1.706509 0.92550238
#> 834  667.169870 0.03871522 0.7125102 1.403489 0.58600182  1.706479 0.92554903
#> 835  668.021622 0.03869054 0.7125179 1.403473 0.58601183  1.706450 0.92559560
#> 836  668.873373 0.03866589 0.7125256 1.403458 0.58602181  1.706421 0.92564207
#> 837  669.725125 0.03864130 0.7125333 1.403443 0.58603176  1.706392 0.92568846
#> 838  670.576877 0.03861675 0.7125410 1.403428 0.58604170  1.706363 0.92573476
#> 839  671.428629 0.03859225 0.7125486 1.403413 0.58605160  1.706334 0.92578097
#> 840  672.280380 0.03856779 0.7125562 1.403398 0.58606148  1.706306 0.92582709
#> 841  673.132132 0.03854338 0.7125638 1.403383 0.58607134  1.706277 0.92587313
#> 842  673.983884 0.03851902 0.7125714 1.403368 0.58608117  1.706248 0.92591909
#> 843  674.835636 0.03849471 0.7125790 1.403353 0.58609098  1.706220 0.92596495
#> 844  675.687387 0.03847043 0.7125865 1.403338 0.58610077  1.706191 0.92601073
#> 845  676.539139 0.03844621 0.7125940 1.403324 0.58611053  1.706163 0.92605643
#> 846  677.390891 0.03842203 0.7126015 1.403309 0.58612026  1.706134 0.92610204
#> 847  678.242643 0.03839790 0.7126090 1.403294 0.58612997  1.706106 0.92614757
#> 848  679.094394 0.03837381 0.7126165 1.403279 0.58613966  1.706078 0.92619301
#> 849  679.946146 0.03834977 0.7126240 1.403265 0.58614933  1.706050 0.92623837
#> 850  680.797898 0.03832577 0.7126314 1.403250 0.58615897  1.706022 0.92628364
#> 851  681.649650 0.03830182 0.7126388 1.403235 0.58616858  1.705994 0.92632883
#> 852  682.501401 0.03827791 0.7126462 1.403221 0.58617818  1.705966 0.92637394
#> 853  683.353153 0.03825405 0.7126536 1.403206 0.58618775  1.705938 0.92641896
#> 854  684.204905 0.03823023 0.7126609 1.403192 0.58619729  1.705910 0.92646390
#> 855  685.056657 0.03820646 0.7126683 1.403177 0.58620682  1.705883 0.92650876
#> 856  685.590000 0.03819159 0.7126729 1.403168 0.58621277  1.705865 0.92653680
#> 857  685.908408 0.03818273 0.7126756 1.403163 0.58621632  1.705855 0.92655353
#> 858  686.760160 0.03815904 0.7126829 1.403149 0.58622579  1.705827 0.92659822
#> 859  687.611912 0.03813540 0.7126902 1.403134 0.58623525  1.705800 0.92664283
#> 860  688.463664 0.03811180 0.7126975 1.403120 0.58624468  1.705772 0.92668736
#> 861  689.315415 0.03808825 0.7127047 1.403106 0.58625409  1.705745 0.92673181
#> 862  690.167167 0.03806474 0.7127120 1.403091 0.58626347  1.705718 0.92677617
#> 863  691.018919 0.03804127 0.7127192 1.403077 0.58627283  1.705690 0.92682046
#> 864  691.870671 0.03801785 0.7127264 1.403063 0.58628217  1.705663 0.92686466
#> 865  692.722422 0.03799447 0.7127336 1.403049 0.58629149  1.705636 0.92690879
#> 866  693.574174 0.03797113 0.7127407 1.403035 0.58630079  1.705609 0.92695283
#> 867  694.425926 0.03794784 0.7127479 1.403021 0.58631006  1.705582 0.92699679
#> 868  695.277678 0.03792459 0.7127550 1.403007 0.58631931  1.705555 0.92704068
#> 869  696.129429 0.03790138 0.7127621 1.402993 0.58632854  1.705528 0.92708448
#> 870  696.981181 0.03787821 0.7127692 1.402979 0.58633774  1.705502 0.92712821
#> 871  697.832933 0.03785509 0.7127763 1.402965 0.58634693  1.705475 0.92717185
#> 872  698.684685 0.03783201 0.7127834 1.402951 0.58635609  1.705448 0.92721542
#> 873  699.536436 0.03780897 0.7127904 1.402937 0.58636523  1.705422 0.92725891
#> 874  700.388188 0.03778597 0.7127975 1.402923 0.58637435  1.705395 0.92730232
#> 875  701.239940 0.03776302 0.7128045 1.402909 0.58638344  1.705369 0.92734565
#> 876  702.091692 0.03774010 0.7128115 1.402895 0.58639252  1.705342 0.92738890
#> 877  702.943443 0.03771723 0.7128185 1.402882 0.58640157  1.705316 0.92743208
#> 878  703.795195 0.03769440 0.7128254 1.402868 0.58641060  1.705290 0.92747518
#> 879  704.646947 0.03767161 0.7128324 1.402854 0.58641961  1.705264 0.92751820
#> 880  705.498699 0.03764887 0.7128393 1.402841 0.58642860  1.705237 0.92756115
#> 881  706.350450 0.03762616 0.7128462 1.402827 0.58643757  1.705211 0.92760402
#> 882  707.202202 0.03760349 0.7128531 1.402814 0.58644652  1.705185 0.92764681
#> 883  708.053954 0.03758087 0.7128600 1.402800 0.58645544  1.705159 0.92768952
#> 884  708.905706 0.03755829 0.7128668 1.402787 0.58646435  1.705133 0.92773216
#> 885  709.757457 0.03753574 0.7128737 1.402773 0.58647323  1.705108 0.92777473
#> 886  710.609209 0.03751324 0.7128805 1.402760 0.58648209  1.705082 0.92781721
#> 887  711.460961 0.03749078 0.7128873 1.402746 0.58649093  1.705056 0.92785963
#> 888  712.312713 0.03746836 0.7128941 1.402733 0.58649975  1.705031 0.92790196
#> 889  713.164464 0.03744598 0.7129009 1.402719 0.58650855  1.705005 0.92794423
#> 890  714.016216 0.03742363 0.7129077 1.402706 0.58651733  1.704979 0.92798642
#> 891  714.867968 0.03740133 0.7129144 1.402693 0.58652609  1.704954 0.92802853
#> 892  715.719720 0.03737907 0.7129212 1.402680 0.58653483  1.704929 0.92807057
#> 893  716.571471 0.03735685 0.7129279 1.402666 0.58654355  1.704903 0.92811253
#> 894  717.423223 0.03733467 0.7129346 1.402653 0.58655224  1.704878 0.92815443
#> 895  718.274975 0.03731252 0.7129413 1.402640 0.58656092  1.704853 0.92819624
#> 896  719.126727 0.03729042 0.7129480 1.402627 0.58656958  1.704828 0.92823799
#> 897  719.978478 0.03726836 0.7129546 1.402614 0.58657822  1.704802 0.92827966
#> 898  720.830230 0.03724633 0.7129613 1.402601 0.58658683  1.704777 0.92832126
#> 899  721.681982 0.03722435 0.7129679 1.402588 0.58659543  1.704752 0.92836278
#> 900  722.533734 0.03720240 0.7129745 1.402575 0.58660401  1.704728 0.92840424
#> 901  723.385485 0.03718049 0.7129811 1.402562 0.58661256  1.704703 0.92844562
#> 902  724.237237 0.03715862 0.7129877 1.402549 0.58662110  1.704678 0.92848693
#> 903  725.088989 0.03713679 0.7129943 1.402536 0.58662962  1.704653 0.92852816
#> 904  725.940741 0.03711500 0.7130008 1.402523 0.58663812  1.704628 0.92856933
#> 905  726.792492 0.03709324 0.7130073 1.402510 0.58664660  1.704604 0.92861042
#> 906  727.644244 0.03707152 0.7130139 1.402497 0.58665506  1.704579 0.92865145
#> 907  728.495996 0.03704985 0.7130204 1.402484 0.58666350  1.704555 0.92869240
#> 908  729.347748 0.03702821 0.7130269 1.402472 0.58667192  1.704530 0.92873328
#> 909  730.199499 0.03700660 0.7130333 1.402459 0.58668032  1.704506 0.92877409
#> 910  731.051251 0.03698504 0.7130398 1.402446 0.58668870  1.704481 0.92881483
#> 911  731.903003 0.03696351 0.7130462 1.402434 0.58669706  1.704457 0.92885550
#> 912  732.754755 0.03694202 0.7130527 1.402421 0.58670540  1.704433 0.92889610
#> 913  733.606507 0.03692057 0.7130591 1.402408 0.58671373  1.704409 0.92893663
#> 914  734.458258 0.03689916 0.7130655 1.402396 0.58672203  1.704385 0.92897709
#> 915  735.310010 0.03687778 0.7130719 1.402383 0.58673032  1.704361 0.92901748
#> 916  736.161762 0.03685644 0.7130783 1.402371 0.58673859  1.704337 0.92905780
#> 917  737.013514 0.03683514 0.7130846 1.402358 0.58674684  1.704313 0.92909805
#> 918  737.865265 0.03681387 0.7130910 1.402346 0.58675507  1.704289 0.92913823
#> 919  738.717017 0.03679264 0.7130973 1.402333 0.58676328  1.704265 0.92917835
#> 920  739.568769 0.03677145 0.7131036 1.402321 0.58677147  1.704241 0.92921839
#> 921  740.420521 0.03675029 0.7131099 1.402308 0.58677965  1.704217 0.92925837
#> 922  741.272272 0.03672917 0.7131162 1.402296 0.58678780  1.704194 0.92929828
#> 923  742.124024 0.03670809 0.7131225 1.402284 0.58679594  1.704170 0.92933812
#> 924  742.975776 0.03668704 0.7131287 1.402271 0.58680406  1.704146 0.92937790
#> 925  743.827528 0.03666603 0.7131350 1.402259 0.58681216  1.704123 0.92941761
#> 926  744.679279 0.03664505 0.7131412 1.402247 0.58682024  1.704099 0.92945724
#> 927  745.531031 0.03662411 0.7131474 1.402235 0.58682831  1.704076 0.92949682
#> 928  746.382783 0.03660321 0.7131536 1.402222 0.58683636  1.704053 0.92953632
#> 929  747.234535 0.03658234 0.7131598 1.402210 0.58684438  1.704029 0.92957576
#> 930  748.086286 0.03656151 0.7131660 1.402198 0.58685239  1.704006 0.92961513
#> 931  748.938038 0.03654072 0.7131721 1.402186 0.58686039  1.703983 0.92965444
#> 932  749.789790 0.03651996 0.7131783 1.402174 0.58686836  1.703960 0.92969368
#> 933  750.641542 0.03649923 0.7131844 1.402162 0.58687632  1.703937 0.92973285
#> 934  751.493293 0.03647854 0.7131905 1.402150 0.58688426  1.703913 0.92977196
#> 935  752.345045 0.03645788 0.7131966 1.402138 0.58689218  1.703890 0.92981100
#> 936  753.196797 0.03643726 0.7132027 1.402126 0.58690008  1.703868 0.92984998
#> 937  754.048549 0.03641668 0.7132088 1.402114 0.58690797  1.703845 0.92988889
#> 938  754.900300 0.03639613 0.7132149 1.402102 0.58691584  1.703822 0.92992774
#> 939  755.752052 0.03637561 0.7132209 1.402090 0.58692369  1.703799 0.92996652
#> 940  756.603804 0.03635513 0.7132270 1.402078 0.58693153  1.703776 0.93000524
#> 941  757.455556 0.03633469 0.7132330 1.402066 0.58693934  1.703754 0.93004389
#> 942  758.307307 0.03631428 0.7132390 1.402055 0.58694714  1.703731 0.93008248
#> 943  759.159059 0.03629390 0.7132450 1.402043 0.58695492  1.703708 0.93012100
#> 944  760.010811 0.03627355 0.7132510 1.402031 0.58696269  1.703686 0.93015946
#> 945  760.862563 0.03625325 0.7132570 1.402019 0.58697044  1.703663 0.93019786
#> 946  761.714314 0.03623297 0.7132629 1.402008 0.58697817  1.703641 0.93023619
#> 947  762.566066 0.03621273 0.7132689 1.401996 0.58698588  1.703618 0.93027446
#> 948  763.417818 0.03619252 0.7132748 1.401984 0.58699358  1.703596 0.93031267
#> 949  763.720000 0.03618536 0.7132769 1.401980 0.58699631  1.703588 0.93032621
#> 950  764.269570 0.03617235 0.7132807 1.401973 0.58700126  1.703574 0.93035081
#> 951  765.121321 0.03615221 0.7132866 1.401961 0.58700892  1.703552 0.93038889
#> 952  765.973073 0.03613210 0.7132925 1.401949 0.58701657  1.703529 0.93042691
#> 953  766.824825 0.03611203 0.7132984 1.401938 0.58702420  1.703507 0.93046486
#> 954  767.676577 0.03609199 0.7133043 1.401926 0.58703181  1.703485 0.93050275
#> 955  768.528328 0.03607199 0.7133101 1.401915 0.58703941  1.703463 0.93054058
#> 956  769.380080 0.03605201 0.7133160 1.401903 0.58704699  1.703441 0.93057835
#> 957  770.231832 0.03603207 0.7133218 1.401892 0.58705455  1.703419 0.93061606
#> 958  771.083584 0.03601217 0.7133276 1.401880 0.58706210  1.703397 0.93065370
#> 959  771.935335 0.03599229 0.7133334 1.401869 0.58706963  1.703375 0.93069128
#> 960  772.787087 0.03597245 0.7133392 1.401858 0.58707715  1.703354 0.93072881
#> 961  773.638839 0.03595265 0.7133450 1.401846 0.58708465  1.703332 0.93076627
#> 962  774.490591 0.03593287 0.7133507 1.401835 0.58709213  1.703310 0.93080366
#> 963  775.342342 0.03591313 0.7133565 1.401824 0.58709959  1.703289 0.93084100
#> 964  776.194094 0.03589342 0.7133622 1.401812 0.58710704  1.703267 0.93087828
#> 965  777.045846 0.03587374 0.7133680 1.401801 0.58711448  1.703245 0.93091550
#> 966  777.897598 0.03585410 0.7133737 1.401790 0.58712190  1.703224 0.93095265
#> 967  778.749349 0.03583448 0.7133794 1.401779 0.58712930  1.703202 0.93098975
#> 968  779.601101 0.03581490 0.7133851 1.401767 0.58713668  1.703181 0.93102679
#> 969  780.452853 0.03579535 0.7133908 1.401756 0.58714405  1.703160 0.93106376
#> 970  781.304605 0.03577584 0.7133964 1.401745 0.58715141  1.703138 0.93110068
#> 971  782.156356 0.03575635 0.7134021 1.401734 0.58715875  1.703117 0.93113754
#> 972  783.008108 0.03573690 0.7134077 1.401723 0.58716607  1.703096 0.93117433
#> 973  783.859860 0.03571748 0.7134134 1.401712 0.58717338  1.703074 0.93121107
#> 974  784.711612 0.03569809 0.7134190 1.401701 0.58718067  1.703053 0.93124775
#> 975  785.563363 0.03567873 0.7134246 1.401690 0.58718795  1.703032 0.93128437
#> 976  786.415115 0.03565940 0.7134302 1.401679 0.58719521  1.703011 0.93132093
#> 977  787.266867 0.03564011 0.7134358 1.401668 0.58720245  1.702990 0.93135743
#> 978  788.118619 0.03562084 0.7134413 1.401657 0.58720968  1.702969 0.93139388
#> 979  788.970370 0.03560161 0.7134469 1.401646 0.58721689  1.702948 0.93143026
#> 980  789.822122 0.03558241 0.7134524 1.401635 0.58722409  1.702927 0.93146659
#> 981  790.673874 0.03556324 0.7134580 1.401624 0.58723128  1.702907 0.93150286
#> 982  791.525626 0.03554410 0.7134635 1.401613 0.58723845  1.702886 0.93153907
#> 983  792.377377 0.03552499 0.7134690 1.401603 0.58724560  1.702865 0.93157523
#> 984  793.229129 0.03550591 0.7134745 1.401592 0.58725274  1.702844 0.93161133
#> 985  794.080881 0.03548686 0.7134800 1.401581 0.58725986  1.702824 0.93164736
#> 986  794.932633 0.03546785 0.7134855 1.401570 0.58726697  1.702803 0.93168335
#> 987  795.784384 0.03544886 0.7134909 1.401559 0.58727406  1.702783 0.93171927
#> 988  796.636136 0.03542991 0.7134964 1.401549 0.58728114  1.702762 0.93175514
#> 989  797.487888 0.03541098 0.7135018 1.401538 0.58728820  1.702742 0.93179095
#> 990  798.339640 0.03539209 0.7135073 1.401527 0.58729525  1.702721 0.93182671
#> 991  799.191391 0.03537322 0.7135127 1.401517 0.58730229  1.702701 0.93186240
#> 992  800.043143 0.03535439 0.7135181 1.401506 0.58730931  1.702680 0.93189805
#> 993  800.894895 0.03533558 0.7135235 1.401496 0.58731631  1.702660 0.93193363
#> 994  801.746647 0.03531681 0.7135289 1.401485 0.58732330  1.702640 0.93196916
#> 995  802.598398 0.03529806 0.7135343 1.401474 0.58733028  1.702620 0.93200463
#> 996  803.450150 0.03527935 0.7135396 1.401464 0.58733724  1.702599 0.93204005
#> 997  804.301902 0.03526066 0.7135450 1.401453 0.58734418  1.702579 0.93207541
#> 998  805.153654 0.03524201 0.7135503 1.401443 0.58735111  1.702559 0.93211072
#> 999  806.005405 0.03522338 0.7135556 1.401432 0.58735803  1.702539 0.93214597
#> 1000 806.857157 0.03520478 0.7135610 1.401422 0.58736493  1.702519 0.93218117
#> 1001 807.708909 0.03518622 0.7135663 1.401412 0.58737182  1.702499 0.93221631
#> 1002 808.560661 0.03516768 0.7135716 1.401401 0.58737870  1.702479 0.93225140
#> 1003 809.412412 0.03514917 0.7135768 1.401391 0.58738556  1.702459 0.93228643
#> 1004 810.264164 0.03513069 0.7135821 1.401380 0.58739240  1.702439 0.93232141
#> 1005 811.115916 0.03511224 0.7135874 1.401370 0.58739923  1.702420 0.93235633
#> 1006 811.967668 0.03509382 0.7135926 1.401360 0.58740605  1.702400 0.93239120
#> 1007 812.819419 0.03507543 0.7135979 1.401349 0.58741286  1.702380 0.93242601
#> 1008 813.671171 0.03505706 0.7136031 1.401339 0.58741965  1.702360 0.93246077
#> 1009 814.522923 0.03503873 0.7136083 1.401329 0.58742642  1.702341 0.93249548
#> 1010 815.374675 0.03502042 0.7136135 1.401319 0.58743318  1.702321 0.93253013
#> 1011 816.226426 0.03500215 0.7136187 1.401308 0.58743993  1.702302 0.93256473
#> 1012 817.078178 0.03498390 0.7136239 1.401298 0.58744666  1.702282 0.93259927
#> 1013 817.929930 0.03496568 0.7136291 1.401288 0.58745338  1.702263 0.93263377
#> 1014 818.781682 0.03494749 0.7136343 1.401278 0.58746009  1.702243 0.93266821
#> 1015 819.633433 0.03492932 0.7136394 1.401268 0.58746678  1.702224 0.93270259
#> 1016 820.485185 0.03491119 0.7136446 1.401258 0.58747346  1.702205 0.93273692
#> 1017 821.336937 0.03489308 0.7136497 1.401248 0.58748013  1.702185 0.93277120
#> 1018 822.188689 0.03487500 0.7136548 1.401238 0.58748678  1.702166 0.93280543
#> 1019 823.040440 0.03485695 0.7136600 1.401228 0.58749342  1.702147 0.93283961
#> 1020 823.892192 0.03483893 0.7136651 1.401218 0.58750004  1.702128 0.93287373
#> 1021 824.743944 0.03482094 0.7136701 1.401208 0.58750665  1.702108 0.93290780
#> 1022 825.595696 0.03480297 0.7136752 1.401198 0.58751325  1.702089 0.93294182
#> 1023 826.447447 0.03478503 0.7136803 1.401188 0.58751983  1.702070 0.93297578
#> 1024 827.299199 0.03476712 0.7136854 1.401178 0.58752641  1.702051 0.93300970
#> 1025 828.150951 0.03474923 0.7136904 1.401168 0.58753296  1.702032 0.93304356
#> 1026 829.002703 0.03473138 0.7136955 1.401158 0.58753951  1.702013 0.93307737
#> 1027 829.854454 0.03471355 0.7137005 1.401148 0.58754604  1.701994 0.93311113
#> 1028 830.706206 0.03469575 0.7137055 1.401138 0.58755256  1.701975 0.93314484
#> 1029 831.557958 0.03467798 0.7137105 1.401128 0.58755906  1.701957 0.93317850
#> 1030 832.409710 0.03466023 0.7137155 1.401118 0.58756555  1.701938 0.93321210
#> 1031 833.261461 0.03464251 0.7137205 1.401109 0.58757203  1.701919 0.93324566
#> 1032 834.113213 0.03462482 0.7137255 1.401099 0.58757850  1.701900 0.93327916
#> 1033 834.964965 0.03460715 0.7137305 1.401089 0.58758495  1.701882 0.93331262
#> 1034 835.816717 0.03458952 0.7137354 1.401079 0.58759139  1.701863 0.93334602
#> 1035 836.668468 0.03457190 0.7137404 1.401070 0.58759782  1.701844 0.93337937
#> 1036 837.520220 0.03455432 0.7137453 1.401060 0.58760423  1.701826 0.93341268
#> 1037 838.371972 0.03453676 0.7137503 1.401050 0.58761063  1.701807 0.93344593
#> 1038 839.223724 0.03451923 0.7137552 1.401041 0.58761702  1.701789 0.93347913
#> 1039 840.075475 0.03450173 0.7137601 1.401031 0.58762340  1.701770 0.93351228
#> 1040 840.927227 0.03448425 0.7137650 1.401021 0.58762976  1.701752 0.93354538
#> 1041 841.778979 0.03446680 0.7137699 1.401012 0.58763611  1.701733 0.93357844
#> 1042 842.630731 0.03444938 0.7137748 1.401002 0.58764245  1.701715 0.93361144
#> 1043 843.482482 0.03443198 0.7137796 1.400993 0.58764877  1.701697 0.93364439
#> 1044 844.334234 0.03441461 0.7137845 1.400983 0.58765508  1.701678 0.93367730
#> 1045 845.185986 0.03439726 0.7137894 1.400974 0.58766138  1.701660 0.93371015
#> 1046 846.037738 0.03437994 0.7137942 1.400964 0.58766767  1.701642 0.93374296
#> 1047 846.889489 0.03436265 0.7137990 1.400955 0.58767395  1.701624 0.93377572
#> 1048 847.741241 0.03434538 0.7138039 1.400945 0.58768021  1.701606 0.93380843
#> 1049 848.592993 0.03432814 0.7138087 1.400936 0.58768646  1.701588 0.93384109
#> 1050 849.444745 0.03431093 0.7138135 1.400926 0.58769270  1.701570 0.93387370
#> 1051 850.296496 0.03429374 0.7138183 1.400917 0.58769892  1.701552 0.93390626
#> 1052 851.148248 0.03427657 0.7138231 1.400907 0.58770514  1.701534 0.93393877
#> 1053 851.720000 0.03426507 0.7138263 1.400901 0.58770930  1.701521 0.93396057
#> 1054 852.000000 0.03425944 0.7138278 1.400898 0.58771134  1.701516 0.93397124
#>          ul95       ll998    ul998
#> 1    5.221912 0.001776962 8.584873
#> 2    3.662330 0.021035676 5.706165
#> 3    3.021377 0.054943422 4.534074
#> 4    2.664519 0.092282260 3.886543
#> 5    2.433992 0.128280000 3.470972
#> 6    2.271243 0.161498083 3.179229
#> 7    2.149350 0.191712021 2.961786
#> 8    2.054123 0.219103858 2.792643
#> 9    2.007393 0.233921516 2.709899
#> 10   1.977342 0.243969784 2.656786
#> 11   1.913897 0.266615301 2.544911
#> 12   1.860433 0.287319876 2.450931
#> 13   1.857410 0.288537829 2.445625
#> 14   1.814655 0.306327759 2.370690
#> 15   1.774933 0.323848461 2.301243
#> 16   1.740075 0.340060481 2.240449
#> 17   1.709190 0.355115736 2.186704
#> 18   1.681597 0.369143778 2.138787
#> 19   1.656766 0.382255470 2.095749
#> 20   1.634276 0.394546092 2.056839
#> 21   1.613791 0.406097904 2.021459
#> 22   1.595037 0.416982267 1.989120
#> 23   1.577789 0.427261369 1.959423
#> 24   1.561861 0.436989658 1.932039
#> 25   1.558062 0.439344427 1.925512
#> 26   1.547098 0.446215011 1.906690
#> 27   1.545079 0.447492114 1.903227
#> 28   1.533366 0.454979702 1.883143
#> 29   1.520554 0.463321211 1.861202
#> 30   1.508567 0.471272889 1.840695
#> 31   1.497321 0.478864524 1.821479
#> 32   1.486744 0.486122811 1.803427
#> 33   1.478364 0.491957528 1.789136
#> 34   1.476776 0.493071750 1.786429
#> 35   1.467359 0.499732987 1.770389
#> 36   1.458448 0.506126098 1.755222
#> 37   1.449998 0.512268838 1.740856
#> 38   1.441973 0.518177354 1.727222
#> 39   1.437947 0.521169050 1.720387
#> 40   1.434339 0.523866366 1.714264
#> 41   1.427065 0.529349324 1.701927
#> 42   1.420125 0.534638548 1.690166
#> 43   1.413670 0.539609377 1.679236
#> 44   1.413494 0.539745344 1.678938
#> 45   1.407151 0.544680112 1.668205
#> 46   1.401076 0.549452435 1.657933
#> 47   1.397536 0.552254441 1.651950
#> 48   1.395251 0.554071163 1.648089
#> 49   1.389659 0.558544479 1.638647
#> 50   1.384286 0.562879965 1.629580
#> 51   1.380998 0.565551484 1.624034
#> 52   1.379119 0.567084660 1.620864
#> 53   1.374143 0.571165104 1.612479
#> 54   1.369349 0.575127387 1.604403
#> 55   1.367468 0.576690571 1.601235
#> 56   1.367413 0.576735885 1.601144
#> 57   1.364726 0.578977185 1.596619
#> 58   1.360263 0.582719798 1.589111
#> 59   1.355953 0.586360182 1.581862
#> 60   1.351786 0.589902973 1.574859
#> 61   1.347755 0.593352518 1.568087
#> 62   1.343853 0.596712895 1.561536
#> 63   1.340074 0.599987936 1.555193
#> 64   1.336411 0.603181243 1.549048
#> 65   1.334400 0.604942106 1.545676
#> 66   1.332858 0.606296208 1.543091
#> 67   1.329410 0.609336030 1.537313
#> 68   1.326063 0.612303723 1.531706
#> 69   1.322810 0.615202136 1.526260
#> 70   1.319649 0.618033961 1.520970
#> 71   1.316575 0.620801744 1.515827
#> 72   1.313584 0.623507898 1.510825
#> 73   1.310673 0.626154707 1.505958
#> 74   1.307838 0.628744340 1.501220
#> 75   1.305456 0.630929146 1.497241
#> 76   1.305075 0.631278854 1.496606
#> 77   1.302383 0.633760204 1.492110
#> 78   1.299757 0.636190247 1.487728
#> 79   1.297196 0.638570754 1.483455
#> 80   1.294697 0.640903405 1.479286
#> 81   1.292257 0.643189806 1.475218
#> 82   1.289874 0.645431486 1.471246
#> 83   1.287546 0.647629903 1.467367
#> 84   1.285272 0.649786449 1.463578
#> 85   1.283048 0.651902455 1.459875
#> 86   1.280873 0.653979193 1.456255
#> 87   1.278745 0.656017877 1.452714
#> 88   1.276664 0.658019671 1.449251
#> 89   1.274626 0.659985689 1.445862
#> 90   1.272631 0.661916998 1.442545
#> 91   1.270677 0.663814621 1.439298
#> 92   1.268763 0.665679538 1.436117
#> 93   1.266888 0.667512691 1.433001
#> 94   1.265049 0.669314982 1.429948
#> 95   1.263247 0.671087278 1.426956
#> 96   1.261480 0.672830415 1.424022
#> 97   1.259746 0.674545191 1.421145
#> 98   1.258045 0.676232379 1.418323
#> 99   1.256939 0.677332525 1.416488
#> 100  1.256376 0.677892718 1.415555
#> 101  1.254738 0.679526923 1.412838
#> 102  1.253129 0.681135681 1.410171
#> 103  1.251550 0.682719654 1.407553
#> 104  1.249998 0.684279479 1.404982
#> 105  1.248474 0.685815771 1.402457
#> 106  1.246976 0.687329124 1.399977
#> 107  1.245505 0.688820110 1.397540
#> 108  1.244058 0.690289280 1.395145
#> 109  1.242636 0.691737169 1.392791
#> 110  1.241237 0.693164291 1.390476
#> 111  1.239861 0.694571145 1.388200
#> 112  1.238508 0.695958211 1.385962
#> 113  1.237177 0.697325954 1.383761
#> 114  1.235867 0.698674824 1.381595
#> 115  1.234578 0.700005257 1.379463
#> 116  1.233308 0.701317674 1.377366
#> 117  1.232059 0.702612481 1.375301
#> 118  1.230829 0.703890076 1.373269
#> 119  1.229617 0.705150839 1.371267
#> 120  1.228424 0.706395141 1.369297
#> 121  1.227248 0.707623343 1.367356
#> 122  1.226090 0.708835791 1.365444
#> 123  1.224949 0.710032825 1.363560
#> 124  1.223824 0.711214771 1.361704
#> 125  1.222716 0.712381947 1.359875
#> 126  1.221623 0.713534663 1.358072
#> 127  1.220545 0.714673217 1.356295
#> 128  1.219483 0.715797901 1.354543
#> 129  1.218435 0.716908997 1.352816
#> 130  1.217402 0.718006779 1.351113
#> 131  1.216383 0.719091515 1.349433
#> 132  1.215377 0.720163463 1.347776
#> 133  1.214385 0.721222876 1.346141
#> 134  1.213406 0.722269999 1.344528
#> 135  1.212440 0.723305071 1.342937
#> 136  1.211487 0.724328322 1.341367
#> 137  1.210546 0.725339980 1.339817
#> 138  1.209617 0.726340263 1.338288
#> 139  1.208700 0.727329386 1.336778
#> 140  1.207794 0.728307557 1.335287
#> 141  1.206900 0.729274979 1.333815
#> 142  1.206016 0.730231849 1.332362
#> 143  1.205144 0.731178360 1.330926
#> 144  1.204282 0.732114699 1.329509
#> 145  1.203997 0.732424700 1.329040
#> 146  1.203431 0.733041049 1.328109
#> 147  1.202590 0.733957589 1.326726
#> 148  1.201759 0.734864492 1.325359
#> 149  1.200937 0.735761928 1.324009
#> 150  1.200126 0.736650063 1.322675
#> 151  1.199324 0.737529056 1.321356
#> 152  1.198531 0.738399066 1.320054
#> 153  1.197747 0.739260247 1.318766
#> 154  1.197455 0.739581549 1.318286
#> 155  1.196972 0.740112748 1.317493
#> 156  1.196206 0.740956716 1.316234
#> 157  1.195449 0.741792293 1.314990
#> 158  1.194925 0.742370853 1.314130
#> 159  1.194700 0.742619619 1.313760
#> 160  1.193959 0.743438831 1.312544
#> 161  1.193227 0.744250061 1.311341
#> 162  1.192502 0.745053440 1.310152
#> 163  1.191785 0.745849095 1.308975
#> 164  1.191076 0.746637150 1.307812
#> 165  1.190375 0.747417726 1.306661
#> 166  1.189681 0.748190943 1.305522
#> 167  1.188994 0.748956916 1.304395
#> 168  1.188315 0.749715759 1.303281
#> 169  1.187643 0.750467583 1.302178
#> 170  1.186977 0.751212496 1.301086
#> 171  1.186319 0.751950606 1.300006
#> 172  1.185667 0.752682015 1.298937
#> 173  1.185021 0.753406826 1.297879
#> 174  1.184383 0.754125139 1.296832
#> 175  1.183750 0.754837050 1.295795
#> 176  1.183124 0.755542655 1.294769
#> 177  1.182504 0.756242048 1.293753
#> 178  1.181890 0.756935320 1.292747
#> 179  1.181282 0.757622561 1.291751
#> 180  1.180680 0.758303859 1.290765
#> 181  1.180084 0.758979299 1.289788
#> 182  1.179494 0.759648966 1.288821
#> 183  1.178909 0.760312943 1.287863
#> 184  1.178329 0.760971310 1.286914
#> 185  1.177755 0.761624147 1.285974
#> 186  1.177187 0.762271532 1.285043
#> 187  1.176624 0.762913540 1.284121
#> 188  1.176214 0.763380477 1.283451
#> 189  1.176065 0.763550246 1.283207
#> 190  1.175512 0.764181724 1.282302
#> 191  1.174964 0.764808046 1.281405
#> 192  1.174421 0.765429282 1.280517
#> 193  1.173883 0.766045501 1.279636
#> 194  1.173350 0.766656770 1.278764
#> 195  1.172822 0.767263158 1.277899
#> 196  1.172298 0.767864727 1.277042
#> 197  1.171778 0.768461544 1.276193
#> 198  1.171264 0.769053670 1.275351
#> 199  1.170754 0.769641168 1.274516
#> 200  1.170608 0.769809092 1.274278
#> 201  1.170248 0.770224097 1.273689
#> 202  1.170116 0.770375923 1.273474
#> 203  1.169746 0.770802518 1.272869
#> 204  1.169249 0.771376488 1.272056
#> 205  1.168756 0.771946066 1.271250
#> 206  1.168267 0.772511306 1.270451
#> 207  1.167783 0.773072266 1.269659
#> 208  1.167302 0.773628997 1.268874
#> 209  1.166826 0.774181555 1.268095
#> 210  1.166353 0.774729992 1.267322
#> 211  1.165884 0.775274358 1.266556
#> 212  1.165419 0.775814705 1.265797
#> 213  1.164958 0.776351082 1.265043
#> 214  1.164501 0.776883539 1.264296
#> 215  1.164047 0.777412122 1.263555
#> 216  1.163597 0.777936879 1.262820
#> 217  1.163150 0.778457856 1.262091
#> 218  1.162707 0.778975100 1.261367
#> 219  1.162268 0.779488654 1.260650
#> 220  1.161832 0.779998563 1.259938
#> 221  1.161399 0.780504871 1.259231
#> 222  1.160970 0.781007619 1.258531
#> 223  1.160931 0.781053422 1.258467
#> 224  1.160544 0.781506850 1.257835
#> 225  1.160122 0.782002604 1.257146
#> 226  1.159702 0.782494923 1.256461
#> 227  1.159286 0.782983846 1.255782
#> 228  1.158873 0.783469413 1.255108
#> 229  1.158463 0.783951661 1.254439
#> 230  1.158056 0.784430629 1.253775
#> 231  1.157653 0.784906355 1.253116
#> 232  1.157252 0.785378874 1.252462
#> 233  1.156854 0.785848224 1.251813
#> 234  1.156719 0.786007517 1.251593
#> 235  1.156459 0.786314439 1.251169
#> 236  1.156067 0.786777555 1.250530
#> 237  1.155678 0.787237607 1.249895
#> 238  1.155292 0.787694627 1.249265
#> 239  1.154908 0.788148651 1.248640
#> 240  1.154528 0.788599709 1.248019
#> 241  1.154203 0.788983890 1.247490
#> 242  1.154149 0.789047836 1.247403
#> 243  1.153774 0.789493063 1.246791
#> 244  1.153402 0.789935420 1.246183
#> 245  1.153208 0.790165202 1.245868
#> 246  1.153031 0.790374940 1.245580
#> 247  1.152664 0.790811653 1.244981
#> 248  1.152299 0.791245588 1.244386
#> 249  1.151937 0.791676776 1.243796
#> 250  1.151577 0.792105245 1.243209
#> 251  1.151220 0.792531024 1.242627
#> 252  1.150865 0.792954141 1.242049
#> 253  1.150512 0.793374624 1.241474
#> 254  1.150162 0.793792502 1.240904
#> 255  1.149815 0.794207799 1.240338
#> 256  1.149469 0.794620544 1.239775
#> 257  1.149126 0.795030763 1.239216
#> 258  1.149033 0.795142828 1.239064
#> 259  1.148786 0.795438481 1.238661
#> 260  1.148447 0.795843724 1.238110
#> 261  1.148111 0.796246517 1.237562
#> 262  1.147777 0.796646885 1.237019
#> 263  1.147445 0.797044852 1.236478
#> 264  1.147116 0.797440443 1.235942
#> 265  1.146788 0.797833681 1.235408
#> 266  1.146463 0.798224590 1.234879
#> 267  1.146140 0.798613192 1.234353
#> 268  1.145819 0.798999511 1.233830
#> 269  1.145500 0.799383568 1.233310
#> 270  1.145183 0.799765387 1.232794
#> 271  1.144868 0.800144989 1.232281
#> 272  1.144555 0.800522395 1.231772
#> 273  1.144244 0.800897627 1.231266
#> 274  1.143935 0.801270706 1.230763
#> 275  1.143932 0.801273137 1.230759
#> 276  1.143627 0.801641652 1.230263
#> 277  1.143322 0.802010486 1.229766
#> 278  1.143019 0.802377228 1.229273
#> 279  1.142717 0.802741898 1.228782
#> 280  1.142418 0.803104515 1.228295
#> 281  1.142120 0.803465099 1.227810
#> 282  1.141824 0.803823668 1.227329
#> 283  1.141530 0.804180242 1.226850
#> 284  1.141237 0.804534840 1.226375
#> 285  1.140947 0.804887479 1.225902
#> 286  1.140658 0.805238178 1.225432
#> 287  1.140371 0.805586954 1.224965
#> 288  1.140085 0.805933825 1.224501
#> 289  1.139802 0.806278810 1.224040
#> 290  1.139520 0.806621923 1.223581
#> 291  1.139239 0.806963184 1.223125
#> 292  1.138961 0.807302608 1.222672
#> 293  1.138683 0.807640212 1.222221
#> 294  1.138408 0.807976013 1.221773
#> 295  1.138134 0.808310026 1.221328
#> 296  1.137862 0.808642268 1.220885
#> 297  1.137591 0.808972754 1.220445
#> 298  1.137322 0.809301499 1.220008
#> 299  1.137054 0.809628520 1.219573
#> 300  1.136788 0.809953830 1.219140
#> 301  1.136523 0.810277446 1.218710
#> 302  1.136260 0.810599382 1.218283
#> 303  1.135999 0.810919652 1.217858
#> 304  1.135739 0.811238272 1.217435
#> 305  1.135480 0.811555254 1.217014
#> 306  1.135223 0.811870614 1.216597
#> 307  1.134967 0.812184365 1.216181
#> 308  1.134712 0.812496521 1.215768
#> 309  1.134459 0.812807095 1.215357
#> 310  1.134242 0.813074202 1.215003
#> 311  1.134208 0.813116102 1.214948
#> 312  1.133957 0.813423553 1.214541
#> 313  1.133709 0.813729463 1.214137
#> 314  1.133461 0.814033844 1.213735
#> 315  1.133215 0.814336709 1.213335
#> 316  1.133198 0.814357011 1.213308
#> 317  1.132970 0.814638070 1.212938
#> 318  1.132727 0.814937941 1.212542
#> 319  1.132484 0.815236333 1.212149
#> 320  1.132243 0.815533259 1.211757
#> 321  1.132004 0.815828730 1.211368
#> 322  1.131898 0.815959564 1.211196
#> 323  1.131765 0.816122760 1.210981
#> 324  1.131528 0.816415358 1.210596
#> 325  1.131292 0.816706538 1.210213
#> 326  1.131058 0.816996310 1.209832
#> 327  1.130824 0.817284686 1.209453
#> 328  1.130592 0.817571678 1.209076
#> 329  1.130395 0.817815875 1.208756
#> 330  1.130361 0.817857296 1.208702
#> 331  1.130131 0.818141551 1.208329
#> 332  1.129903 0.818424454 1.207958
#> 333  1.129675 0.818706017 1.207588
#> 334  1.129449 0.818986249 1.207221
#> 335  1.129224 0.819265161 1.206856
#> 336  1.129000 0.819542764 1.206492
#> 337  1.128777 0.819819068 1.206131
#> 338  1.128555 0.820094082 1.205771
#> 339  1.128335 0.820367818 1.205413
#> 340  1.128304 0.820406429 1.205363
#> 341  1.128115 0.820640285 1.205057
#> 342  1.127897 0.820911493 1.204703
#> 343  1.127680 0.821181452 1.204350
#> 344  1.127464 0.821450170 1.204000
#> 345  1.127248 0.821717659 1.203651
#> 346  1.127034 0.821983927 1.203303
#> 347  1.126821 0.822248983 1.202958
#> 348  1.126609 0.822512837 1.202614
#> 349  1.126398 0.822775499 1.202272
#> 350  1.126189 0.823036976 1.201931
#> 351  1.125980 0.823297277 1.201593
#> 352  1.125850 0.823459023 1.201382
#> 353  1.125772 0.823556413 1.201256
#> 354  1.125565 0.823814391 1.200920
#> 355  1.125359 0.824071220 1.200586
#> 356  1.125154 0.824326909 1.200254
#> 357  1.124950 0.824581466 1.199923
#> 358  1.124747 0.824834900 1.199594
#> 359  1.124546 0.825087218 1.199267
#> 360  1.124378 0.825296383 1.198996
#> 361  1.124345 0.825338429 1.198941
#> 362  1.124145 0.825588542 1.198617
#> 363  1.123945 0.825837564 1.198294
#> 364  1.123747 0.826085503 1.197973
#> 365  1.123550 0.826332367 1.197653
#> 366  1.123354 0.826578164 1.197335
#> 367  1.123158 0.826822901 1.197018
#> 368  1.122964 0.827066587 1.196703
#> 369  1.122951 0.827082262 1.196683
#> 370  1.122770 0.827309229 1.196389
#> 371  1.122578 0.827550834 1.196077
#> 372  1.122386 0.827791409 1.195766
#> 373  1.122195 0.828030963 1.195457
#> 374  1.122005 0.828269501 1.195149
#> 375  1.121816 0.828507033 1.194842
#> 376  1.121627 0.828743564 1.194537
#> 377  1.121440 0.828979101 1.194233
#> 378  1.121253 0.829213653 1.193931
#> 379  1.121067 0.829447224 1.193630
#> 380  1.120883 0.829679824 1.193330
#> 381  1.120698 0.829911457 1.193032
#> 382  1.120515 0.830142131 1.192735
#> 383  1.120333 0.830371853 1.192439
#> 384  1.120151 0.830600629 1.192145
#> 385  1.119970 0.830828466 1.191852
#> 386  1.119790 0.831055370 1.191560
#> 387  1.119611 0.831281347 1.191270
#> 388  1.119432 0.831506404 1.190981
#> 389  1.119303 0.831670079 1.190770
#> 390  1.119255 0.831730547 1.190693
#> 391  1.119078 0.831953783 1.190406
#> 392  1.118902 0.832176116 1.190121
#> 393  1.118726 0.832397555 1.189837
#> 394  1.118552 0.832618104 1.189554
#> 395  1.118378 0.832837770 1.189273
#> 396  1.118205 0.833056558 1.188992
#> 397  1.118032 0.833274474 1.188713
#> 398  1.117860 0.833491525 1.188435
#> 399  1.117690 0.833707715 1.188158
#> 400  1.117519 0.833923052 1.187883
#> 401  1.117350 0.834137539 1.187608
#> 402  1.117181 0.834351183 1.187335
#> 403  1.117013 0.834563990 1.187063
#> 404  1.116846 0.834775965 1.186792
#> 405  1.116679 0.834987113 1.186523
#> 406  1.116513 0.835197440 1.186254
#> 407  1.116348 0.835406951 1.185986
#> 408  1.116184 0.835615651 1.185720
#> 409  1.116020 0.835823546 1.185455
#> 410  1.115856 0.836030641 1.185191
#> 411  1.115694 0.836236941 1.184928
#> 412  1.115532 0.836442450 1.184666
#> 413  1.115437 0.836563046 1.184512
#> 414  1.115371 0.836647176 1.184405
#> 415  1.115210 0.836851121 1.184145
#> 416  1.115051 0.837054291 1.183886
#> 417  1.114891 0.837256692 1.183629
#> 418  1.114733 0.837458327 1.183372
#> 419  1.114575 0.837659203 1.183117
#> 420  1.114418 0.837859323 1.182862
#> 421  1.114261 0.838058692 1.182609
#> 422  1.114105 0.838257315 1.182356
#> 423  1.113950 0.838455198 1.182105
#> 424  1.113795 0.838652343 1.181854
#> 425  1.113641 0.838848757 1.181605
#> 426  1.113487 0.839044443 1.181357
#> 427  1.113334 0.839239406 1.181109
#> 428  1.113182 0.839433650 1.180863
#> 429  1.113030 0.839627180 1.180617
#> 430  1.112879 0.839820001 1.180373
#> 431  1.112729 0.840012117 1.180129
#> 432  1.112579 0.840203531 1.179887
#> 433  1.112429 0.840394249 1.179645
#> 434  1.112280 0.840584274 1.179405
#> 435  1.112132 0.840773611 1.179165
#> 436  1.111985 0.840962263 1.178926
#> 437  1.111838 0.841150236 1.178688
#> 438  1.111691 0.841337533 1.178451
#> 439  1.111545 0.841524158 1.178215
#> 440  1.111400 0.841710116 1.177980
#> 441  1.111255 0.841895409 1.177746
#> 442  1.111111 0.842080043 1.177513
#> 443  1.110967 0.842264021 1.177281
#> 444  1.110861 0.842399421 1.177110
#> 445  1.110824 0.842447347 1.177049
#> 446  1.110681 0.842630025 1.176819
#> 447  1.110539 0.842812058 1.176589
#> 448  1.110398 0.842993452 1.176360
#> 449  1.110257 0.843174208 1.176132
#> 450  1.110116 0.843354331 1.175905
#> 451  1.109976 0.843533826 1.175679
#> 452  1.109837 0.843712694 1.175453
#> 453  1.109698 0.843890941 1.175229
#> 454  1.109560 0.844068569 1.175005
#> 455  1.109422 0.844245583 1.174782
#> 456  1.109284 0.844421985 1.174560
#> 457  1.109148 0.844597780 1.174339
#> 458  1.109011 0.844772971 1.174119
#> 459  1.108875 0.844947561 1.173899
#> 460  1.108802 0.845042116 1.173780
#> 461  1.108740 0.845121554 1.173680
#> 462  1.108605 0.845294953 1.173462
#> 463  1.108474 0.845463155 1.173251
#> 464  1.108471 0.845467762 1.173245
#> 465  1.108337 0.845639984 1.173029
#> 466  1.108204 0.845811622 1.172813
#> 467  1.108071 0.845982679 1.172598
#> 468  1.107938 0.846153160 1.172384
#> 469  1.107806 0.846323067 1.172171
#> 470  1.107675 0.846492403 1.171959
#> 471  1.107544 0.846661171 1.171747
#> 472  1.107413 0.846829376 1.171536
#> 473  1.107283 0.846997019 1.171326
#> 474  1.107154 0.847164105 1.171116
#> 475  1.107024 0.847330635 1.170908
#> 476  1.106896 0.847496614 1.170700
#> 477  1.106768 0.847662045 1.170493
#> 478  1.106640 0.847826929 1.170286
#> 479  1.106512 0.847991271 1.170081
#> 480  1.106386 0.848155073 1.169876
#> 481  1.106259 0.848318339 1.169671
#> 482  1.106133 0.848481071 1.169468
#> 483  1.106008 0.848643272 1.169265
#> 484  1.105882 0.848804945 1.169063
#> 485  1.105758 0.848966093 1.168861
#> 486  1.105633 0.849126719 1.168661
#> 487  1.105510 0.849286826 1.168461
#> 488  1.105386 0.849446416 1.168261
#> 489  1.105263 0.849605492 1.168063
#> 490  1.105141 0.849764057 1.167865
#> 491  1.105019 0.849922114 1.167668
#> 492  1.104897 0.850079666 1.167471
#> 493  1.104776 0.850236714 1.167275
#> 494  1.104655 0.850393263 1.167080
#> 495  1.104534 0.850549314 1.166885
#> 496  1.104414 0.850704870 1.166691
#> 497  1.104295 0.850859934 1.166498
#> 498  1.104175 0.851014509 1.166306
#> 499  1.104056 0.851168596 1.166114
#> 500  1.103938 0.851322199 1.165922
#> 501  1.103820 0.851475320 1.165732
#> 502  1.103702 0.851627962 1.165542
#> 503  1.103585 0.851780127 1.165353
#> 504  1.103468 0.851931817 1.165164
#> 505  1.103352 0.852083036 1.164976
#> 506  1.103236 0.852233785 1.164788
#> 507  1.103120 0.852384068 1.164601
#> 508  1.103004 0.852533885 1.164415
#> 509  1.102890 0.852683241 1.164230
#> 510  1.102775 0.852832137 1.164045
#> 511  1.102661 0.852980575 1.163860
#> 512  1.102547 0.853128558 1.163677
#> 513  1.102433 0.853276089 1.163493
#> 514  1.102320 0.853423169 1.163311
#> 515  1.102208 0.853569801 1.163129
#> 516  1.102095 0.853715988 1.162948
#> 517  1.101983 0.853861730 1.162767
#> 518  1.101872 0.854007032 1.162587
#> 519  1.101760 0.854151894 1.162407
#> 520  1.101649 0.854296320 1.162228
#> 521  1.101621 0.854333411 1.162182
#> 522  1.101539 0.854440311 1.162050
#> 523  1.101429 0.854583869 1.161872
#> 524  1.101319 0.854726997 1.161694
#> 525  1.101209 0.854869697 1.161518
#> 526  1.101144 0.854955296 1.161412
#> 527  1.101100 0.855011971 1.161342
#> 528  1.100991 0.855153821 1.161166
#> 529  1.100883 0.855295250 1.160991
#> 530  1.100775 0.855436259 1.160816
#> 531  1.100667 0.855576850 1.160643
#> 532  1.100560 0.855717026 1.160469
#> 533  1.100452 0.855856788 1.160296
#> 534  1.100346 0.855996139 1.160124
#> 535  1.100239 0.856135081 1.159952
#> 536  1.100133 0.856273615 1.159781
#> 537  1.100027 0.856411744 1.159611
#> 538  1.099922 0.856549469 1.159440
#> 539  1.099817 0.856686793 1.159271
#> 540  1.099712 0.856823718 1.159102
#> 541  1.099608 0.856960245 1.158933
#> 542  1.099503 0.857096377 1.158765
#> 543  1.099400 0.857232115 1.158598
#> 544  1.099296 0.857367461 1.158431
#> 545  1.099193 0.857502417 1.158264
#> 546  1.099090 0.857636986 1.158098
#> 547  1.098988 0.857771168 1.157933
#> 548  1.098885 0.857904966 1.157768
#> 549  1.098783 0.858038382 1.157604
#> 550  1.098682 0.858171417 1.157440
#> 551  1.098580 0.858304073 1.157276
#> 552  1.098479 0.858436352 1.157113
#> 553  1.098379 0.858568257 1.156951
#> 554  1.098278 0.858699787 1.156789
#> 555  1.098178 0.858830946 1.156628
#> 556  1.098079 0.858961736 1.156467
#> 557  1.097979 0.859092157 1.156306
#> 558  1.097880 0.859222212 1.156146
#> 559  1.097781 0.859351902 1.155987
#> 560  1.097682 0.859481229 1.155828
#> 561  1.097584 0.859610195 1.155669
#> 562  1.097486 0.859738801 1.155511
#> 563  1.097388 0.859867049 1.155354
#> 564  1.097361 0.859902722 1.155310
#> 565  1.097291 0.859994942 1.155196
#> 566  1.097194 0.860122479 1.155040
#> 567  1.097097 0.860249664 1.154884
#> 568  1.097000 0.860376497 1.154728
#> 569  1.096904 0.860502981 1.154573
#> 570  1.096829 0.860602020 1.154451
#> 571  1.096808 0.860629117 1.154418
#> 572  1.096712 0.860754906 1.154263
#> 573  1.096617 0.860880350 1.154110
#> 574  1.096522 0.861005452 1.153956
#> 575  1.096427 0.861130211 1.153803
#> 576  1.096332 0.861254630 1.153650
#> 577  1.096238 0.861378711 1.153498
#> 578  1.096144 0.861502455 1.153347
#> 579  1.096050 0.861625863 1.153195
#> 580  1.095956 0.861748937 1.153045
#> 581  1.095863 0.861871679 1.152894
#> 582  1.095770 0.861994089 1.152744
#> 583  1.095677 0.862116170 1.152595
#> 584  1.095585 0.862237923 1.152446
#> 585  1.095492 0.862359350 1.152297
#> 586  1.095401 0.862480452 1.152149
#> 587  1.095309 0.862601230 1.152001
#> 588  1.095217 0.862721685 1.151854
#> 589  1.095126 0.862841821 1.151707
#> 590  1.095035 0.862961636 1.151560
#> 591  1.094945 0.863081134 1.151414
#> 592  1.094854 0.863200316 1.151268
#> 593  1.094764 0.863319182 1.151123
#> 594  1.094674 0.863437735 1.150978
#> 595  1.094585 0.863555975 1.150834
#> 596  1.094495 0.863673905 1.150690
#> 597  1.094406 0.863791525 1.150546
#> 598  1.094317 0.863908837 1.150403
#> 599  1.094228 0.864025842 1.150260
#> 600  1.094140 0.864142541 1.150118
#> 601  1.094104 0.864189863 1.150060
#> 602  1.094052 0.864258936 1.149975
#> 603  1.093964 0.864375029 1.149834
#> 604  1.093876 0.864490820 1.149692
#> 605  1.093789 0.864606311 1.149552
#> 606  1.093702 0.864721503 1.149411
#> 607  1.093615 0.864836397 1.149271
#> 608  1.093528 0.864950995 1.149131
#> 609  1.093442 0.865065298 1.148992
#> 610  1.093355 0.865179307 1.148853
#> 611  1.093269 0.865293024 1.148714
#> 612  1.093184 0.865406449 1.148576
#> 613  1.093117 0.865495037 1.148468
#> 614  1.093098 0.865519585 1.148438
#> 615  1.093013 0.865632431 1.148301
#> 616  1.092928 0.865744990 1.148164
#> 617  1.092843 0.865857263 1.148027
#> 618  1.092758 0.865969251 1.147891
#> 619  1.092674 0.866080955 1.147755
#> 620  1.092590 0.866192376 1.147619
#> 621  1.092506 0.866303516 1.147484
#> 622  1.092422 0.866414375 1.147349
#> 623  1.092338 0.866524956 1.147215
#> 624  1.092255 0.866635258 1.147081
#> 625  1.092172 0.866745284 1.146947
#> 626  1.092089 0.866855034 1.146813
#> 627  1.092007 0.866964510 1.146680
#> 628  1.091924 0.867073712 1.146548
#> 629  1.091842 0.867182642 1.146415
#> 630  1.091760 0.867291302 1.146283
#> 631  1.091678 0.867399691 1.146152
#> 632  1.091597 0.867507812 1.146020
#> 633  1.091516 0.867615664 1.145889
#> 634  1.091434 0.867723251 1.145759
#> 635  1.091354 0.867830572 1.145628
#> 636  1.091273 0.867937628 1.145499
#> 637  1.091192 0.868044422 1.145369
#> 638  1.091112 0.868150953 1.145240
#> 639  1.091032 0.868257223 1.145111
#> 640  1.090952 0.868363233 1.144982
#> 641  1.090873 0.868468984 1.144854
#> 642  1.090793 0.868574477 1.144726
#> 643  1.090714 0.868679714 1.144599
#> 644  1.090635 0.868784694 1.144471
#> 645  1.090556 0.868889420 1.144344
#> 646  1.090478 0.868993892 1.144218
#> 647  1.090399 0.869098111 1.144091
#> 648  1.090321 0.869202079 1.143966
#> 649  1.090243 0.869305796 1.143840
#> 650  1.090165 0.869409263 1.143715
#> 651  1.090087 0.869512482 1.143590
#> 652  1.090010 0.869615453 1.143465
#> 653  1.089933 0.869718178 1.143341
#> 654  1.089856 0.869820656 1.143217
#> 655  1.089779 0.869922890 1.143093
#> 656  1.089702 0.870024881 1.142970
#> 657  1.089626 0.870126628 1.142847
#> 658  1.089550 0.870228134 1.142724
#> 659  1.089474 0.870329399 1.142601
#> 660  1.089431 0.870385907 1.142533
#> 661  1.089398 0.870430425 1.142479
#> 662  1.089322 0.870531211 1.142357
#> 663  1.089247 0.870631759 1.142236
#> 664  1.089171 0.870732071 1.142115
#> 665  1.089096 0.870832146 1.141994
#> 666  1.089021 0.870931986 1.141873
#> 667  1.088946 0.871031592 1.141753
#> 668  1.088872 0.871130965 1.141633
#> 669  1.088798 0.871230105 1.141513
#> 670  1.088723 0.871329013 1.141394
#> 671  1.088649 0.871427692 1.141274
#> 672  1.088576 0.871526140 1.141156
#> 673  1.088502 0.871624360 1.141037
#> 674  1.088428 0.871722352 1.140919
#> 675  1.088355 0.871820116 1.140801
#> 676  1.088282 0.871917655 1.140683
#> 677  1.088209 0.872014968 1.140566
#> 678  1.088136 0.872112057 1.140449
#> 679  1.088064 0.872208923 1.140332
#> 680  1.087991 0.872305566 1.140216
#> 681  1.087919 0.872401987 1.140099
#> 682  1.087847 0.872498187 1.139983
#> 683  1.087775 0.872594167 1.139868
#> 684  1.087704 0.872689928 1.139752
#> 685  1.087632 0.872785470 1.139637
#> 686  1.087561 0.872880795 1.139522
#> 687  1.087490 0.872975903 1.139408
#> 688  1.087419 0.873070795 1.139294
#> 689  1.087348 0.873165471 1.139180
#> 690  1.087277 0.873259934 1.139066
#> 691  1.087207 0.873354183 1.138953
#> 692  1.087136 0.873448219 1.138839
#> 693  1.087066 0.873542044 1.138726
#> 694  1.086996 0.873635657 1.138614
#> 695  1.086926 0.873729061 1.138501
#> 696  1.086857 0.873822254 1.138389
#> 697  1.086816 0.873876112 1.138325
#> 698  1.086787 0.873915239 1.138278
#> 699  1.086718 0.874008016 1.138166
#> 700  1.086649 0.874100586 1.138055
#> 701  1.086580 0.874192950 1.137944
#> 702  1.086511 0.874285107 1.137833
#> 703  1.086442 0.874377061 1.137722
#> 704  1.086374 0.874468809 1.137612
#> 705  1.086305 0.874560355 1.137502
#> 706  1.086237 0.874651698 1.137392
#> 707  1.086169 0.874742839 1.137283
#> 708  1.086101 0.874833780 1.137174
#> 709  1.086033 0.874924519 1.137065
#> 710  1.085966 0.875015060 1.136956
#> 711  1.085898 0.875105401 1.136848
#> 712  1.085831 0.875195544 1.136739
#> 713  1.085764 0.875285490 1.136632
#> 714  1.085697 0.875375239 1.136524
#> 715  1.085630 0.875464793 1.136416
#> 716  1.085564 0.875554151 1.136309
#> 717  1.085497 0.875643314 1.136202
#> 718  1.085431 0.875732284 1.136096
#> 719  1.085365 0.875821060 1.135989
#> 720  1.085299 0.875909644 1.135883
#> 721  1.085233 0.875998037 1.135777
#> 722  1.085167 0.876086238 1.135671
#> 723  1.085101 0.876174249 1.135566
#> 724  1.085036 0.876262070 1.135461
#> 725  1.084971 0.876349703 1.135356
#> 726  1.084906 0.876437147 1.135251
#> 727  1.084841 0.876524403 1.135146
#> 728  1.084776 0.876611473 1.135042
#> 729  1.084711 0.876698356 1.134938
#> 730  1.084646 0.876785054 1.134834
#> 731  1.084582 0.876871567 1.134731
#> 732  1.084518 0.876957895 1.134627
#> 733  1.084454 0.877044040 1.134524
#> 734  1.084390 0.877130002 1.134421
#> 735  1.084326 0.877215782 1.134319
#> 736  1.084262 0.877301380 1.134216
#> 737  1.084199 0.877386797 1.134114
#> 738  1.084135 0.877472033 1.134012
#> 739  1.084072 0.877557090 1.133910
#> 740  1.084009 0.877641968 1.133809
#> 741  1.083946 0.877726667 1.133708
#> 742  1.083883 0.877811188 1.133607
#> 743  1.083820 0.877895532 1.133506
#> 744  1.083758 0.877979700 1.133405
#> 745  1.083695 0.878063691 1.133305
#> 746  1.083633 0.878147507 1.133205
#> 747  1.083571 0.878231149 1.133105
#> 748  1.083509 0.878314616 1.133005
#> 749  1.083447 0.878397909 1.132906
#> 750  1.083385 0.878481030 1.132806
#> 751  1.083324 0.878563979 1.132707
#> 752  1.083262 0.878646755 1.132608
#> 753  1.083201 0.878729361 1.132510
#> 754  1.083140 0.878811796 1.132411
#> 755  1.083079 0.878894061 1.132313
#> 756  1.083018 0.878976156 1.132215
#> 757  1.082957 0.879058083 1.132118
#> 758  1.082896 0.879139842 1.132020
#> 759  1.082836 0.879221432 1.131923
#> 760  1.082775 0.879302856 1.131826
#> 761  1.082715 0.879384114 1.131729
#> 762  1.082655 0.879465205 1.131632
#> 763  1.082595 0.879546131 1.131535
#> 764  1.082535 0.879626892 1.131439
#> 765  1.082475 0.879707490 1.131343
#> 766  1.082416 0.879787923 1.131247
#> 767  1.082393 0.879818311 1.131211
#> 768  1.082356 0.879868193 1.131152
#> 769  1.082297 0.879948301 1.131056
#> 770  1.082237 0.880028247 1.130961
#> 771  1.082178 0.880108031 1.130866
#> 772  1.082132 0.880171166 1.130791
#> 773  1.082119 0.880187654 1.130771
#> 774  1.082060 0.880267117 1.130676
#> 775  1.082002 0.880346420 1.130582
#> 776  1.081958 0.880405901 1.130511
#> 777  1.081943 0.880425564 1.130488
#> 778  1.081885 0.880504549 1.130394
#> 779  1.081826 0.880583376 1.130300
#> 780  1.081768 0.880662045 1.130206
#> 781  1.081710 0.880740557 1.130113
#> 782  1.081652 0.880818912 1.130019
#> 783  1.081594 0.880897111 1.129926
#> 784  1.081536 0.880975155 1.129834
#> 785  1.081489 0.881038809 1.129758
#> 786  1.081478 0.881053043 1.129741
#> 787  1.081421 0.881130777 1.129648
#> 788  1.081364 0.881208357 1.129556
#> 789  1.081306 0.881285783 1.129464
#> 790  1.081249 0.881363056 1.129372
#> 791  1.081192 0.881440177 1.129281
#> 792  1.081135 0.881517146 1.129189
#> 793  1.081078 0.881593963 1.129098
#> 794  1.081022 0.881670629 1.129007
#> 795  1.080965 0.881747145 1.128916
#> 796  1.080909 0.881823510 1.128825
#> 797  1.080852 0.881899726 1.128734
#> 798  1.080796 0.881975793 1.128644
#> 799  1.080740 0.882051711 1.128554
#> 800  1.080684 0.882127482 1.128464
#> 801  1.080628 0.882203104 1.128374
#> 802  1.080572 0.882278580 1.128285
#> 803  1.080517 0.882353909 1.128195
#> 804  1.080461 0.882429092 1.128106
#> 805  1.080406 0.882504129 1.128017
#> 806  1.080350 0.882579021 1.127928
#> 807  1.080295 0.882653768 1.127839
#> 808  1.080240 0.882728370 1.127751
#> 809  1.080185 0.882802829 1.127662
#> 810  1.080130 0.882877145 1.127574
#> 811  1.080075 0.882951318 1.127486
#> 812  1.080021 0.883025348 1.127398
#> 813  1.079966 0.883099237 1.127311
#> 814  1.079912 0.883172983 1.127223
#> 815  1.079857 0.883246589 1.127136
#> 816  1.079803 0.883320054 1.127049
#> 817  1.079749 0.883393379 1.126962
#> 818  1.079695 0.883466565 1.126875
#> 819  1.079641 0.883539611 1.126789
#> 820  1.079587 0.883612518 1.126702
#> 821  1.079534 0.883685287 1.126616
#> 822  1.079480 0.883757918 1.126530
#> 823  1.079427 0.883830411 1.126444
#> 824  1.079373 0.883902767 1.126359
#> 825  1.079320 0.883974987 1.126273
#> 826  1.079267 0.884047070 1.126188
#> 827  1.079214 0.884119018 1.126102
#> 828  1.079161 0.884190830 1.126017
#> 829  1.079108 0.884262507 1.125933
#> 830  1.079056 0.884334050 1.125848
#> 831  1.079003 0.884405459 1.125763
#> 832  1.078950 0.884476734 1.125679
#> 833  1.078898 0.884547876 1.125595
#> 834  1.078846 0.884618885 1.125511
#> 835  1.078793 0.884689762 1.125427
#> 836  1.078741 0.884760506 1.125343
#> 837  1.078689 0.884831120 1.125260
#> 838  1.078638 0.884901601 1.125176
#> 839  1.078586 0.884971953 1.125093
#> 840  1.078534 0.885042173 1.125010
#> 841  1.078482 0.885112264 1.124927
#> 842  1.078431 0.885182225 1.124845
#> 843  1.078380 0.885252057 1.124762
#> 844  1.078328 0.885321761 1.124680
#> 845  1.078277 0.885391336 1.124598
#> 846  1.078226 0.885460783 1.124516
#> 847  1.078175 0.885530102 1.124434
#> 848  1.078124 0.885599294 1.124352
#> 849  1.078073 0.885668360 1.124270
#> 850  1.078023 0.885737299 1.124189
#> 851  1.077972 0.885806112 1.124108
#> 852  1.077921 0.885874799 1.124026
#> 853  1.077871 0.885943362 1.123946
#> 854  1.077821 0.886011799 1.123865
#> 855  1.077771 0.886080112 1.123784
#> 856  1.077739 0.886122824 1.123734
#> 857  1.077720 0.886148300 1.123704
#> 858  1.077670 0.886216365 1.123623
#> 859  1.077620 0.886284307 1.123543
#> 860  1.077571 0.886352126 1.123463
#> 861  1.077521 0.886419822 1.123383
#> 862  1.077471 0.886487396 1.123303
#> 863  1.077422 0.886554847 1.123224
#> 864  1.077372 0.886622178 1.123144
#> 865  1.077323 0.886689387 1.123065
#> 866  1.077274 0.886756476 1.122986
#> 867  1.077224 0.886823444 1.122907
#> 868  1.077175 0.886890292 1.122828
#> 869  1.077126 0.886957020 1.122750
#> 870  1.077077 0.887023630 1.122671
#> 871  1.077029 0.887090120 1.122593
#> 872  1.076980 0.887156491 1.122514
#> 873  1.076931 0.887222744 1.122436
#> 874  1.076883 0.887288880 1.122358
#> 875  1.076834 0.887354898 1.122281
#> 876  1.076786 0.887420798 1.122203
#> 877  1.076738 0.887486582 1.122126
#> 878  1.076689 0.887552249 1.122048
#> 879  1.076641 0.887617800 1.121971
#> 880  1.076593 0.887683235 1.121894
#> 881  1.076545 0.887748555 1.121817
#> 882  1.076498 0.887813760 1.121740
#> 883  1.076450 0.887878850 1.121664
#> 884  1.076402 0.887943825 1.121587
#> 885  1.076355 0.888008686 1.121511
#> 886  1.076307 0.888073434 1.121435
#> 887  1.076260 0.888138068 1.121359
#> 888  1.076213 0.888202588 1.121283
#> 889  1.076165 0.888266996 1.121207
#> 890  1.076118 0.888331292 1.121131
#> 891  1.076071 0.888395475 1.121056
#> 892  1.076024 0.888459547 1.120980
#> 893  1.075977 0.888523507 1.120905
#> 894  1.075931 0.888587356 1.120830
#> 895  1.075884 0.888651094 1.120755
#> 896  1.075837 0.888714722 1.120680
#> 897  1.075791 0.888778240 1.120606
#> 898  1.075744 0.888841647 1.120531
#> 899  1.075698 0.888904945 1.120457
#> 900  1.075652 0.888968134 1.120382
#> 901  1.075606 0.889031214 1.120308
#> 902  1.075559 0.889094185 1.120234
#> 903  1.075513 0.889157048 1.120160
#> 904  1.075467 0.889219803 1.120087
#> 905  1.075422 0.889282450 1.120013
#> 906  1.075376 0.889344990 1.119940
#> 907  1.075330 0.889407423 1.119866
#> 908  1.075285 0.889469749 1.119793
#> 909  1.075239 0.889531969 1.119720
#> 910  1.075194 0.889594082 1.119647
#> 911  1.075148 0.889656090 1.119574
#> 912  1.075103 0.889717992 1.119502
#> 913  1.075058 0.889779789 1.119429
#> 914  1.075013 0.889841481 1.119357
#> 915  1.074968 0.889903068 1.119284
#> 916  1.074923 0.889964551 1.119212
#> 917  1.074878 0.890025930 1.119140
#> 918  1.074833 0.890087206 1.119068
#> 919  1.074788 0.890148377 1.118996
#> 920  1.074744 0.890209446 1.118925
#> 921  1.074699 0.890270411 1.118853
#> 922  1.074655 0.890331275 1.118782
#> 923  1.074610 0.890392035 1.118711
#> 924  1.074566 0.890452694 1.118639
#> 925  1.074522 0.890513251 1.118568
#> 926  1.074477 0.890573707 1.118498
#> 927  1.074433 0.890634061 1.118427
#> 928  1.074389 0.890694315 1.118356
#> 929  1.074345 0.890754468 1.118286
#> 930  1.074301 0.890814520 1.118215
#> 931  1.074258 0.890874473 1.118145
#> 932  1.074214 0.890934326 1.118075
#> 933  1.074170 0.890994079 1.118005
#> 934  1.074127 0.891053734 1.117935
#> 935  1.074083 0.891113289 1.117865
#> 936  1.074040 0.891172746 1.117796
#> 937  1.073997 0.891232104 1.117726
#> 938  1.073953 0.891291364 1.117657
#> 939  1.073910 0.891350526 1.117587
#> 940  1.073867 0.891409591 1.117518
#> 941  1.073824 0.891468559 1.117449
#> 942  1.073781 0.891527429 1.117380
#> 943  1.073738 0.891586203 1.117311
#> 944  1.073695 0.891644880 1.117243
#> 945  1.073653 0.891703461 1.117174
#> 946  1.073610 0.891761946 1.117106
#> 947  1.073567 0.891820335 1.117037
#> 948  1.073525 0.891878629 1.116969
#> 949  1.073510 0.891899288 1.116945
#> 950  1.073482 0.891936828 1.116901
#> 951  1.073440 0.891994932 1.116833
#> 952  1.073398 0.892052941 1.116765
#> 953  1.073355 0.892110856 1.116697
#> 954  1.073313 0.892168676 1.116630
#> 955  1.073271 0.892226403 1.116562
#> 956  1.073229 0.892284036 1.116495
#> 957  1.073187 0.892341576 1.116428
#> 958  1.073145 0.892399022 1.116360
#> 959  1.073104 0.892456376 1.116293
#> 960  1.073062 0.892513637 1.116226
#> 961  1.073020 0.892570806 1.116160
#> 962  1.072979 0.892627882 1.116093
#> 963  1.072937 0.892684867 1.116026
#> 964  1.072896 0.892741760 1.115960
#> 965  1.072854 0.892798562 1.115893
#> 966  1.072813 0.892855272 1.115827
#> 967  1.072772 0.892911892 1.115761
#> 968  1.072731 0.892968421 1.115695
#> 969  1.072689 0.893024859 1.115629
#> 970  1.072648 0.893081208 1.115563
#> 971  1.072607 0.893137466 1.115497
#> 972  1.072567 0.893193635 1.115432
#> 973  1.072526 0.893249714 1.115366
#> 974  1.072485 0.893305705 1.115301
#> 975  1.072444 0.893361606 1.115236
#> 976  1.072404 0.893417418 1.115171
#> 977  1.072363 0.893473142 1.115106
#> 978  1.072323 0.893528778 1.115041
#> 979  1.072282 0.893584326 1.114976
#> 980  1.072242 0.893639786 1.114911
#> 981  1.072202 0.893695158 1.114846
#> 982  1.072161 0.893750443 1.114782
#> 983  1.072121 0.893805641 1.114718
#> 984  1.072081 0.893860752 1.114653
#> 985  1.072041 0.893915776 1.114589
#> 986  1.072001 0.893970714 1.114525
#> 987  1.071961 0.894025566 1.114461
#> 988  1.071921 0.894080332 1.114397
#> 989  1.071882 0.894135012 1.114333
#> 990  1.071842 0.894189606 1.114270
#> 991  1.071802 0.894244116 1.114206
#> 992  1.071763 0.894298540 1.114143
#> 993  1.071723 0.894352879 1.114079
#> 994  1.071684 0.894407134 1.114016
#> 995  1.071644 0.894461304 1.113953
#> 996  1.071605 0.894515390 1.113890
#> 997  1.071566 0.894569393 1.113827
#> 998  1.071527 0.894623311 1.113764
#> 999  1.071488 0.894677146 1.113701
#> 1000 1.071449 0.894730898 1.113639
#> 1001 1.071410 0.894784566 1.113576
#> 1002 1.071371 0.894838152 1.113514
#> 1003 1.071332 0.894891655 1.113451
#> 1004 1.071293 0.894945075 1.113389
#> 1005 1.071254 0.894998413 1.113327
#> 1006 1.071216 0.895051670 1.113265
#> 1007 1.071177 0.895104844 1.113203
#> 1008 1.071138 0.895157937 1.113141
#> 1009 1.071100 0.895210948 1.113080
#> 1010 1.071061 0.895263878 1.113018
#> 1011 1.071023 0.895316727 1.112956
#> 1012 1.070985 0.895369496 1.112895
#> 1013 1.070946 0.895422184 1.112834
#> 1014 1.070908 0.895474791 1.112772
#> 1015 1.070870 0.895527319 1.112711
#> 1016 1.070832 0.895579766 1.112650
#> 1017 1.070794 0.895632134 1.112589
#> 1018 1.070756 0.895684422 1.112529
#> 1019 1.070718 0.895736630 1.112468
#> 1020 1.070680 0.895788760 1.112407
#> 1021 1.070643 0.895840811 1.112347
#> 1022 1.070605 0.895892782 1.112286
#> 1023 1.070567 0.895944676 1.112226
#> 1024 1.070530 0.895996491 1.112166
#> 1025 1.070492 0.896048228 1.112105
#> 1026 1.070455 0.896099887 1.112045
#> 1027 1.070417 0.896151468 1.111985
#> 1028 1.070380 0.896202971 1.111925
#> 1029 1.070343 0.896254397 1.111866
#> 1030 1.070306 0.896305746 1.111806
#> 1031 1.070268 0.896357019 1.111746
#> 1032 1.070231 0.896408214 1.111687
#> 1033 1.070194 0.896459332 1.111627
#> 1034 1.070157 0.896510375 1.111568
#> 1035 1.070120 0.896561341 1.111509
#> 1036 1.070083 0.896612231 1.111450
#> 1037 1.070047 0.896663045 1.111391
#> 1038 1.070010 0.896713784 1.111332
#> 1039 1.069973 0.896764447 1.111273
#> 1040 1.069936 0.896815035 1.111214
#> 1041 1.069900 0.896865547 1.111156
#> 1042 1.069863 0.896915985 1.111097
#> 1043 1.069827 0.896966348 1.111038
#> 1044 1.069790 0.897016637 1.110980
#> 1045 1.069754 0.897066851 1.110922
#> 1046 1.069718 0.897116992 1.110864
#> 1047 1.069681 0.897167058 1.110805
#> 1048 1.069645 0.897217050 1.110747
#> 1049 1.069609 0.897266969 1.110689
#> 1050 1.069573 0.897316814 1.110632
#> 1051 1.069537 0.897366586 1.110574
#> 1052 1.069501 0.897416286 1.110516
#> 1053 1.069477 0.897449606 1.110477
#> 1054 1.069465 0.897465912 1.110459
outliers(fp)
#>    denominator  group numerator        rr target_transformed          Y
#> 17      120.94 030007        82 0.6780368                  0 -0.3885753
#> 28      245.61 030017       131 0.5333603                  0 -0.6285476
#> 6        28.80 030025        14 0.4861594                  0 -0.7213181
#> 14       73.21 030035        37 0.5054258                  0 -0.6824141
#> 32      273.34 030037       145 0.5304793                  0 -0.6339827
#> 21      172.38 030043       104 0.6033232                  0 -0.5053104
#> 3        19.20 030044         6 0.3125609                  0 -1.1631508
#> 4        19.96 030060         7 0.3506260                  0 -1.0478201
#> 25      198.94 030062       134 0.6735680                  0 -0.3951635
#> 12       45.87 030067        22 0.4796652                  0 -0.7347689
#> 2         9.67 030068         2 0.2068827                  0 -1.5758811
#> 10       38.92 030073        87 2.2352298                  0  0.8043999
#> 7        31.74 030078        55 1.7329455                  0  0.5497555
#> 52      685.59 032000      1012 1.4761101                  0  0.3894041
#> 22      181.11 032002       283 1.5626043                  0  0.4463423
#> 5        24.81 032003        95 3.8296445                  0  1.3426301
#>       Uzscore rk sp truncated  Wuzscore          s   OD95LCL  OD95UCL   OD99LCL
#> 17  -4.273269 13  2         0 -4.273269 0.09093164 0.6870374 1.455525 0.5533126
#> 28  -9.850566  2  0         1        NA 0.06380827 0.7024099 1.423670 0.5729580
#> 6   -3.870999 16  2         0 -3.870999 0.18633900 0.6111188 1.636343 0.4600330
#> 14  -5.838929  4  0         1        NA 0.11687316 0.6689770 1.494820 0.5305541
#> 32 -10.481634  1  0         1        NA 0.06048510 0.7039943 1.420466 0.5749970
#> 21  -6.634401  3  0         1        NA 0.07616520 0.6959196 1.436948 0.5646331
#> 3   -5.096671  8  1         0 -5.096671 0.22821773 0.5734589 1.743804 0.4161366
#> 4   -4.681306 12  2         0 -4.681306 0.22383074 0.5774252 1.731826 0.4206837
#> 25  -5.573626  7  1         0 -5.573626 0.07089881 0.6987976 1.431030 0.5683191
#> 12  -4.976398  9  1         0 -4.976398 0.14765074 0.6445616 1.551442 0.5003471
#> 2   -4.900458 10  1         0 -4.900458 0.32157832 0.4908522 2.037273 0.3256333
#> 10   5.018321 50  9         1        NA 0.16029264 0.6338819 1.577581 0.4873387
#> 7    3.097227 48  8         0  3.097227 0.17749926 0.6189345 1.615680 0.4693434
#> 52  10.196068 54  9         1        NA 0.03819159 0.7126729 1.403168 0.5862128
#> 22   6.006746 51  9         1        NA 0.07430684 0.6969535 1.434816 0.5659563
#> 5    6.687592 53  9         1        NA 0.20076436 0.5982289 1.671601 0.4448276
#>     OD99UCL     LCL95    UCL95     LCL99    UCL99 highlight outlier
#> 17 1.807297 0.8297333 1.194925 0.7423709 1.314130         0       1
#> 28 1.745329 0.8788379 1.133198 0.8143570 1.213308         0       1
#> 6  2.173757 0.6686912 1.437947 0.5211690 1.720387         0       1
#> 14 1.884822 0.7841313 1.256939 0.6773325 1.416488         0       1
#> 32 1.739139 0.8849536 1.125850 0.8234590 1.201382         0       1
#> 21 1.771061 0.8562871 1.160931 0.7810534 1.258467         0       1
#> 3  2.403057 0.6038663 1.558062 0.4393444 1.925512         0       1
#> 4  2.377083 0.6104869 1.545079 0.4474921 1.903227         0       1
#> 25 1.759575 0.8658614 1.149033 0.7951428 1.239064         0       1
#> 12 1.998612 0.7317770 1.334400 0.6049421 1.545676         0       1
#> 2  3.070939 0.4725050 1.857410 0.2885378 2.445625         0       1
#> 10 2.051961 0.7108273 1.367468 0.5766906 1.601235         0       1
#> 7  2.130636 0.6828360 1.413670 0.5396094 1.679236         0       1
#> 52 1.705865 0.9265368 1.077739 0.8861228 1.123734         0       1
#> 22 1.766921 0.8596594 1.156719 0.7860075 1.251593         0       1
#> 5  2.248062 0.6459532 1.478364 0.4919575 1.789136         0       1
source_data(fp)
#>    denominator  group numerator        rr target_transformed             Y
#> 46      523.70 030001       406 0.7752585                  0 -0.2545658417
#> 48      612.98 030002       642 1.0473450                  0  0.0462559947
#> 13       53.79 030003        46 0.8551559                  0 -0.1564461798
#> 53      763.72 030006       764 1.0003694                  0  0.0003665593
#> 17      120.94 030007        82 0.6780368                  0 -0.3885753076
#> 29      250.19 030008       201 0.8034022                  0 -0.2189157211
#> 20      155.49 030009       193 1.2412206                  0  0.2161087680
#> 45      484.71 030010       569 1.1738860                  0  0.1603296602
#> 39      362.22 030011       404 1.1153377                  0  0.1091631159
#> 24      188.93 030012       134 0.7092701                  0 -0.3435367761
#> 47      554.38 030013       614 1.1075340                  0  0.1021445560
#> 49      616.74 030014       491 0.7961241                  0 -0.2280034135
#> 38      360.15 030016       501 1.3910974                  0  0.3300854897
#> 28      245.61 030017       131 0.5333603                  0 -0.6285475889
#> 31      263.56 030018       274 1.0395934                  0  0.0388470603
#> 19      154.66 030019       124 0.8017461                  0 -0.2209475936
#> 44      475.02 030022       456 0.9599679                  0 -0.0408640989
#> 11       38.93 030023        48 1.2328578                  0  0.2094358493
#> 42      445.10 030024       429 0.9638358                  0 -0.0368420571
#> 6        28.80 030025        14 0.4861594                  0 -0.7213180575
#> 37      347.54 030030       369 1.0617593                  0  0.0599168777
#> 1         7.56 030033         8 1.0580539                  0  0.0565703515
#> 14       73.21 030035        37 0.5054258                  0 -0.6824141110
#> 16      118.11 030036       128 1.0837010                  0  0.0804138703
#> 32      273.34 030037       145 0.5304793                  0 -0.6339826991
#> 43      449.79 030038       493 1.0960592                  0  0.0917283669
#> 21      172.38 030043       104 0.6033232                  0 -0.5053104431
#> 3        19.20 030044         6 0.3125609                  0 -1.1631508098
#> 36      321.86 030055       308 0.9569437                  0 -0.0440168854
#> 9        36.56 030059        34 0.9299019                  0 -0.0725942220
#> 4        19.96 030060         7 0.3506260                  0 -1.0478201218
#> 54      851.72 030061       935 1.0977833                  0  0.0932886950
#> 25      198.94 030062       134 0.6735680                  0 -0.3951634718
#> 35      302.39 030064       339 1.1210561                  0  0.1142825324
#> 40      410.16 030065       458 1.1166280                  0  0.1103218566
#> 12       45.87 030067        22 0.4796652                  0 -0.7347688553
#> 2         9.67 030068         2 0.2068827                  0 -1.5758811289
#> 26      212.34 030069       160 0.7534910                  0 -0.2830149484
#> 10       38.92 030073        87 2.2352298                  0  0.8043998613
#> 7        31.74 030078        55 1.7329455                  0  0.5497554701
#> 34      285.64 030080       252 0.8822420                  0 -0.1253031892
#> 23      186.66 030083       174 0.9321958                  0 -0.0702334809
#> 8        33.98 030084        43 1.2653820                  0  0.2354279994
#> 30      255.65 030085       228 0.8918280                  0 -0.1144636926
#> 27      242.03 030086       210 0.8676759                  0 -0.1419541547
#> 33      279.48 030087       321 1.1485772                  0  0.1385103894
#> 50      619.26 030088       631 1.0189522                  0  0.0187806457
#> 51      626.13 030089       543 0.8672318                  0 -0.1424486973
#> 18      145.67 030092       105 0.7207832                  0 -0.3273834393
#> 41      413.86 030093       389 0.9399266                  0 -0.0619484088
#> 15      111.26 030094        92 0.8268712                  0 -0.1900812276
#> 52      685.59 032000      1012 1.4761101                  0  0.3894040684
#> 22      181.11 032002       283 1.5626043                  0  0.4463423162
#> 5        24.81 032003        95 3.8296445                  0  1.3426300939
#>         Uzscore rk sp truncated    Wuzscore          s   OD95LCL  OD95UCL
#> 46  -5.82561011  5  0         1          NA 0.04369771 0.7108599 1.406747
#> 48   1.14522594 37  6         0  1.14522594 0.04039028 0.7119760 1.404542
#> 13  -1.14740235 25  4         0 -1.14740235 0.13634814 0.6538255 1.529460
#> 53   0.01013004 31  5         0  0.01013004 0.03618536 0.7132769 1.401980
#> 17  -4.27326850 13  2         0 -4.27326850 0.09093164 0.6870374 1.455525
#> 29  -3.46267654 18  3         0 -3.46267654 0.06322153 0.7026948 1.423093
#> 20   2.69478189 46  8         0  2.69478189 0.08019527 0.6936106 1.441731
#> 45   3.52983871 49  8         0  3.52983871 0.04542124 0.7102464 1.407962
#> 39   2.07760096 42  7         0  2.07760096 0.05254287 0.7074858 1.413456
#> 24  -4.72197516 11  2         0 -4.72197516 0.07275277 0.6978029 1.433069
#> 47   2.40502171 45  8         0  2.40502171 0.04247137 0.7112832 1.405910
#> 49  -5.66229389  6  1         0 -5.66229389 0.04026697 0.7120161 1.404463
#> 38   6.26423646 52  9         1          NA 0.05269365 0.7074235 1.413580
#> 28  -9.85056605  2  0         1          NA 0.06380827 0.7024099 1.423670
#> 31   0.63066381 34  6         0  0.63066381 0.06159710 0.7034720 1.421521
#> 19  -2.74775672 19  3         0 -2.74775672 0.08041017 0.6934850 1.441992
#> 44  -0.89063114 27  4         0 -0.89063114 0.04588218 0.7100787 1.408295
#> 11   1.30675215 38  6         0  1.30675215 0.16027205 0.6338995 1.577537
#> 42  -0.77727136 29  5         0 -0.77727136 0.04739922 0.7095159 1.409412
#> 6   -3.87099890 16  2         0 -3.87099890 0.18633900 0.6111188 1.636343
#> 37   1.11699588 36  6         0  1.11699588 0.05364109 0.7070285 1.414370
#> 1    0.15554275 32  5         0  0.15554275 0.36369648 0.4558174 2.193861
#> 14  -5.83892910  4  0         1          NA 0.11687316 0.6689770 1.494820
#> 16   0.87392527 35  6         0  0.87392527 0.09201458 0.6863422 1.456999
#> 32 -10.48163426  1  0         1          NA 0.06048510 0.7039943 1.420466
#> 43   1.94539842 40  7         0  1.94539842 0.04715146 0.7096089 1.409227
#> 21  -6.63440091  3  0         1          NA 0.07616520 0.6959196 1.436948
#> 3   -5.09667149  8  1         0 -5.09667149 0.22821773 0.5734589 1.743804
#> 36  -0.78968304 28  5         0 -0.78968304 0.05573994 0.7061314 1.416167
#> 9   -0.43893999 30  5         0 -0.43893999 0.16538530 0.6295011 1.588560
#> 4   -4.68130570 12  2         0 -4.68130570 0.22383074 0.5774252 1.731826
#> 54   2.72255988 47  8         0  2.72255988 0.03426507 0.7138263 1.400901
#> 25  -5.57362633  7  1         0 -5.57362633 0.07089881 0.6987976 1.431030
#> 35   1.98730062 41  7         0  1.98730062 0.05750641 0.7053533 1.417729
#> 40   2.23428317 43  7         0  2.23428317 0.04937685 0.7087574 1.410920
#> 12  -4.97639803  9  1         0 -4.97639803 0.14765074 0.6445616 1.551442
#> 2   -4.90045823 10  1         0 -4.90045823 0.32157832 0.4908522 2.037273
#> 26  -4.12406291 14  2         0 -4.12406291 0.06862527 0.6999894 1.428593
#> 10   5.01832060 50  9         1          NA 0.16029264 0.6338819 1.577581
#> 7    3.09722689 48  8         0  3.09722689 0.17749926 0.6189345 1.615680
#> 34  -2.11773511 21  3         0 -2.11773511 0.05916849 0.7046022 1.419241
#> 23  -0.95955489 26  4         0 -0.95955489 0.07319381 0.6975633 1.433562
#> 8    1.37236552 39  7         0  1.37236552 0.17154905 0.6241482 1.602184
#> 30  -1.83016671 23  4         0 -1.83016671 0.06254277 0.7030216 1.422431
#> 27  -2.20842527 20  3         0 -2.20842527 0.06427845 0.7021800 1.424136
#> 33   2.31556895 44  8         0  2.31556895 0.05981700 0.7043042 1.419841
#> 50   0.46735515 33  6         0  0.46735515 0.04018495 0.7120426 1.404410
#> 51  -3.56443532 17  3         0 -3.56443532 0.03996389 0.7121140 1.404270
#> 18  -3.95131604 15  2         0 -3.95131604 0.08285428 0.6920385 1.445006
#> 41  -1.26025051 24  4         0 -1.26025051 0.04915563 0.7088437 1.410748
#> 15  -2.00497405 22  4         0 -2.00497405 0.09480483 0.6845252 1.460867
#> 52  10.19606797 54  9         1          NA 0.03819159 0.7126729 1.403168
#> 22   6.00674614 51  9         1          NA 0.07430684 0.6969535 1.434816
#> 5    6.68759184 53  9         1          NA 0.20076436 0.5982289 1.671601
#>      OD99LCL  OD99UCL     LCL95    UCL95     LCL99    UCL99 highlight outlier
#> 46 0.5838633 1.712730 0.9161767 1.089431 0.8703859 1.142533         0       0
#> 48 0.5853093 1.708499 0.9223928 1.082393 0.8798183 1.131211         0       0
#> 13 0.5117322 1.954147 0.7507815 1.305456 0.6309291 1.497241         0       0
#> 53 0.5869963 1.703588 0.9303262 1.073510 0.8918993 1.116945         0       0
#> 17 0.5533126 1.807297 0.8297333 1.194925 0.7423709 1.314130         0       1
#> 29 0.5733244 1.744213 0.8799161 1.131898 0.8159596 1.211196         0       0
#> 20 0.5616822 1.780366 0.8489973 1.170116 0.7703759 1.273474         0       0
#> 45 0.5830690 1.715063 0.9129459 1.093117 0.8654950 1.148468         0       0
#> 39 0.5794998 1.725626 0.8996571 1.108474 0.8454632 1.173251         0       0
#> 24 0.5670442 1.763531 0.8624847 1.153208 0.7901652 1.245868         0       0
#> 47 0.5844115 1.711123 0.9184791 1.086816 0.8738761 1.138325         0       0
#> 49 0.5853612 1.708347 0.9226250 1.082132 0.8801712 1.130791         0       0
#> 38 0.5794194 1.725866 0.8993768 1.108802 0.8450421 1.173780         0       0
#> 28 0.5729580 1.745329 0.8788379 1.133198 0.8143570 1.213308         0       1
#> 31 0.5743246 1.741176 0.8829048 1.128304 0.8204064 1.205363         0       0
#> 19 0.5615218 1.780875 0.8486095 1.170608 0.7698091 1.274278         0       0
#> 44 0.5828519 1.715702 0.9120828 1.094104 0.8641899 1.150060         0       0
#> 11 0.4873600 2.051871 0.7108611 1.367413 0.5767359 1.601144         0       0
#> 42 0.5821237 1.717848 0.9092451 1.097361 0.8599027 1.155310         0       0
#> 6  0.4600330 2.173757 0.6686912 1.437947 0.5211690 1.720387         0       1
#> 37 0.5789093 1.727386 0.8976167 1.110861 0.8423994 1.177110         0       0
#> 1  0.2897498 3.451253 0.4192450 2.007393 0.2339215 2.709899         0       0
#> 14 0.5305541 1.884822 0.7841313 1.256939 0.6773325 1.416488         0       1
#> 16 0.5524300 1.810184 0.8278028 1.197455 0.7395815 1.318286         0       0
#> 32 0.5749970 1.739139 0.8849536 1.125850 0.8234590 1.201382         0       1
#> 43 0.5822441 1.717493 0.9097083 1.096829 0.8606020 1.154451         0       0
#> 21 0.5646331 1.771061 0.8562871 1.160931 0.7810534 1.258467         0       1
#> 3  0.4161366 2.403057 0.6038663 1.558062 0.4393444 1.925512         0       1
#> 36 0.5777516 1.730848 0.8937236 1.115437 0.8365630 1.184512         0       0
#> 9  0.4820390 2.074521 0.7024797 1.380998 0.5655515 1.624034         0       0
#> 4  0.4206837 2.377083 0.6104869 1.545079 0.4474921 1.903227         0       1
#> 54 0.5877093 1.701521 0.9339606 1.069477 0.8974496 1.110477         0       0
#> 25 0.5683191 1.759575 0.8658614 1.149033 0.7951428 1.239064         0       1
#> 35 0.5767482 1.733859 0.8904537 1.119303 0.8316701 1.190770         0       0
#> 40 0.5811429 1.720747 0.9055527 1.101621 0.8543334 1.162182         0       0
#> 12 0.5003471 1.998612 0.7317770 1.334400 0.6049421 1.545676         0       1
#> 2  0.3256333 3.070939 0.4725050 1.857410 0.2885378 2.445625         0       1
#> 26 0.5698481 1.754854 0.8700115 1.143932 0.8012731 1.230759         0       0
#> 10 0.4873387 2.051961 0.7108273 1.367468 0.5766906 1.601235         0       1
#> 7  0.4693434 2.130636 0.6828360 1.413670 0.5396094 1.679236         0       1
#> 34 0.5757801 1.736774 0.8873825 1.122951 0.8270823 1.196683         0       0
#> 23 0.5667372 1.764486 0.8616824 1.154203 0.7889839 1.247490         0       0
#> 8  0.4755921 2.102642 0.6924472 1.397536 0.5522544 1.651950         0       0
#> 30 0.5737449 1.742935 0.8811643 1.130395 0.8178159 1.208756         0       0
#> 27 0.5726624 1.746230 0.8779744 1.134242 0.8130742 1.215003         0       0
#> 33 0.5753962 1.737933 0.8861857 1.124378 0.8252964 1.198996         0       0
#> 50 0.5853956 1.708247 0.9227794 1.081958 0.8804059 1.130511         0       0
#> 51 0.5854881 1.707977 0.9231957 1.081489 0.8810388 1.129758         0       0
#> 18 0.5596763 1.786747 0.8442051 1.176214 0.7633805 1.283451         0       0
#> 41 0.5812543 1.720417 0.9059653 1.101144 0.8549553 1.161412         0       0
#> 15 0.5501260 1.817765 0.8228397 1.203997 0.7324247 1.329040         0       0
#> 52 0.5862128 1.705865 0.9265368 1.077739 0.8861228 1.123734         0       1
#> 22 0.5659563 1.766921 0.8596594 1.156719 0.7860075 1.251593         0       1
#> 5  0.4448276 2.248062 0.6459532 1.478364 0.4919575 1.789136         0       1
phi(fp)
#> [1] 8.532851
tau2(fp)
#> [1] 0.02841023