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This function is a wrapper over different methods of density estimation. By default, it uses the base R density with by default uses a different smoothing bandwidth ("SJ") from the legacy default implemented the base R density function ("nrd0"). However, Deng and Wickham suggest that method = "KernSmooth" is the fastest and the most accurate.

Usage

estimate_density(x, ...)

# S3 method for data.frame
estimate_density(
  x,
  method = "kernel",
  precision = 2^10,
  extend = FALSE,
  extend_scale = 0.1,
  bw = "SJ",
  ci = NULL,
  select = NULL,
  at = NULL,
  group_by = NULL,
  ...
)

Arguments

x

Vector representing a posterior distribution, or a data frame of such vectors. Can also be a Bayesian model. bayestestR supports a wide range of models (see, for example, methods("hdi")) and not all of those are documented in the 'Usage' section, because methods for other classes mostly resemble the arguments of the .numeric or .data.framemethods.

...

Currently not used.

method

Density estimation method. Can be "kernel" (default), "logspline" or "KernSmooth".

precision

Number of points of density data. See the n parameter in density.

extend

Extend the range of the x axis by a factor of extend_scale.

extend_scale

Ratio of range by which to extend the x axis. A value of 0.1 means that the x axis will be extended by 1/10 of the range of the data.

bw

See the eponymous argument in density. Here, the default has been changed for "SJ", which is recommended.

ci

The confidence interval threshold. Only used when method = "kernel". This feature is experimental, use with caution.

select

Character vector of column names. If NULL (the default), all numeric variables will be selected. Other arguments from datawizard::find_columns() (such as exclude) can also be used.

at

Optional character vector. If not NULL and input is a data frame, density estimation is performed for each group (subsets) indicated by at. See examples.

group_by

Deprecated in favour of at.

Note

There is also a plot()-method implemented in the see-package.

References

Deng, H., & Wickham, H. (2011). Density estimation in R. Electronic publication.

Examples

library(bayestestR)

set.seed(1)
x <- rnorm(250, mean = 1)

# Basic usage
density_kernel <- estimate_density(x) # default method is "kernel"

hist(x, prob = TRUE)
lines(density_kernel$x, density_kernel$y, col = "black", lwd = 2)
lines(density_kernel$x, density_kernel$CI_low, col = "gray", lty = 2)
lines(density_kernel$x, density_kernel$CI_high, col = "gray", lty = 2)
legend("topright",
  legend = c("Estimate", "95% CI"),
  col = c("black", "gray"), lwd = 2, lty = c(1, 2)
)


# Other Methods
density_logspline <- estimate_density(x, method = "logspline")
density_KernSmooth <- estimate_density(x, method = "KernSmooth")
density_mixture <- estimate_density(x, method = "mixture")


hist(x, prob = TRUE)
lines(density_kernel$x, density_kernel$y, col = "black", lwd = 2)
lines(density_logspline$x, density_logspline$y, col = "red", lwd = 2)
lines(density_KernSmooth$x, density_KernSmooth$y, col = "blue", lwd = 2)
lines(density_mixture$x, density_mixture$y, col = "green", lwd = 2)


# Extension
density_extended <- estimate_density(x, extend = TRUE)
density_default <- estimate_density(x, extend = FALSE)

hist(x, prob = TRUE)
lines(density_extended$x, density_extended$y, col = "red", lwd = 3)
lines(density_default$x, density_default$y, col = "black", lwd = 3)


# Multiple columns
head(estimate_density(iris))
#>      Parameter        x          y
#> 1 Sepal.Length 4.300000 0.09650527
#> 2 Sepal.Length 4.303519 0.09766644
#> 3 Sepal.Length 4.307038 0.09883222
#> 4 Sepal.Length 4.310557 0.10001063
#> 5 Sepal.Length 4.314076 0.10119336
#> 6 Sepal.Length 4.317595 0.10238484
head(estimate_density(iris, select = "Sepal.Width"))
#>     Parameter        x          y
#> 1 Sepal.Width 2.000000 0.04651972
#> 2 Sepal.Width 2.002346 0.04733324
#> 3 Sepal.Width 2.004692 0.04816144
#> 4 Sepal.Width 2.007038 0.04899919
#> 5 Sepal.Width 2.009384 0.04984690
#> 6 Sepal.Width 2.011730 0.05071174

# Grouped data
head(estimate_density(iris, at = "Species"))
#>      Parameter        x         y Species
#> 1 Sepal.Length 4.300000 0.2355986  setosa
#> 2 Sepal.Length 4.301466 0.2375879  setosa
#> 3 Sepal.Length 4.302933 0.2395766  setosa
#> 4 Sepal.Length 4.304399 0.2415640  setosa
#> 5 Sepal.Length 4.305865 0.2435508  setosa
#> 6 Sepal.Length 4.307331 0.2455353  setosa
head(estimate_density(iris$Petal.Width, at = iris$Species))
#>           x        y  Group
#> 1 0.1000000 9.011872 setosa
#> 2 0.1004888 8.955399 setosa
#> 3 0.1009775 8.792239 setosa
#> 4 0.1014663 8.528268 setosa
#> 5 0.1019550 8.172719 setosa
#> 6 0.1024438 7.737660 setosa
# \donttest{
# rstanarm models
# -----------------------------------------------
library(rstanarm)
model <- suppressWarnings(
  stan_glm(mpg ~ wt + gear, data = mtcars, chains = 2, iter = 200, refresh = 0)
)
head(estimate_density(model))
#>     Parameter        x           y
#> 1 (Intercept) 24.19242 0.002029767
#> 2 (Intercept) 24.22067 0.002052337
#> 3 (Intercept) 24.24892 0.002074994
#> 4 (Intercept) 24.27717 0.002097736
#> 5 (Intercept) 24.30542 0.002120651
#> 6 (Intercept) 24.33367 0.002143652

library(emmeans)
head(estimate_density(emtrends(model, ~1, "wt", data = mtcars)))
#>   Parameter         x          y
#> 1   overall -7.810281 0.01754139
#> 2   overall -7.806283 0.01763125
#> 3   overall -7.802285 0.01771950
#> 4   overall -7.798287 0.01780524
#> 5   overall -7.794289 0.01788964
#> 6   overall -7.790292 0.01797242

# brms models
# -----------------------------------------------
library(brms)
model <- brms::brm(mpg ~ wt + cyl, data = mtcars)
#> Compiling Stan program...
#> Start sampling
#> 
#> SAMPLING FOR MODEL 'anon_model' NOW (CHAIN 1).
#> Chain 1: 
#> Chain 1: Gradient evaluation took 8e-06 seconds
#> Chain 1: 1000 transitions using 10 leapfrog steps per transition would take 0.08 seconds.
#> Chain 1: Adjust your expectations accordingly!
#> Chain 1: 
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#> Chain 1: 
#> Chain 1:  Elapsed Time: 0.021 seconds (Warm-up)
#> Chain 1:                0.015 seconds (Sampling)
#> Chain 1:                0.036 seconds (Total)
#> Chain 1: 
#> 
#> SAMPLING FOR MODEL 'anon_model' NOW (CHAIN 2).
#> Chain 2: 
#> Chain 2: Gradient evaluation took 3e-06 seconds
#> Chain 2: 1000 transitions using 10 leapfrog steps per transition would take 0.03 seconds.
#> Chain 2: Adjust your expectations accordingly!
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#> Chain 2: 
#> Chain 2:  Elapsed Time: 0.022 seconds (Warm-up)
#> Chain 2:                0.014 seconds (Sampling)
#> Chain 2:                0.036 seconds (Total)
#> Chain 2: 
#> 
#> SAMPLING FOR MODEL 'anon_model' NOW (CHAIN 3).
#> Chain 3: 
#> Chain 3: Gradient evaluation took 3e-06 seconds
#> Chain 3: 1000 transitions using 10 leapfrog steps per transition would take 0.03 seconds.
#> Chain 3: Adjust your expectations accordingly!
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#> Chain 3: 
#> Chain 3:  Elapsed Time: 0.024 seconds (Warm-up)
#> Chain 3:                0.018 seconds (Sampling)
#> Chain 3:                0.042 seconds (Total)
#> Chain 3: 
#> 
#> SAMPLING FOR MODEL 'anon_model' NOW (CHAIN 4).
#> Chain 4: 
#> Chain 4: Gradient evaluation took 3e-06 seconds
#> Chain 4: 1000 transitions using 10 leapfrog steps per transition would take 0.03 seconds.
#> Chain 4: Adjust your expectations accordingly!
#> Chain 4: 
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#> Chain 4: 
estimate_density(model)
#>        Parameter            x            y
#> 1    b_Intercept 31.677511642 2.750316e-04
#> 2    b_Intercept 31.692604903 2.747614e-04
#> 3    b_Intercept 31.707698163 2.740340e-04
#> 4    b_Intercept 31.722791424 2.728529e-04
#> 5    b_Intercept 31.737884685 2.712236e-04
#> 6    b_Intercept 31.752977946 2.691532e-04
#> 7    b_Intercept 31.768071206 2.666133e-04
#> 8    b_Intercept 31.783164467 2.635983e-04
#> 9    b_Intercept 31.798257728 2.601834e-04
#> 10   b_Intercept 31.813350988 2.563840e-04
#> 11   b_Intercept 31.828444249 2.522169e-04
#> 12   b_Intercept 31.843537510 2.477000e-04
#> 13   b_Intercept 31.858630770 2.428480e-04
#> 14   b_Intercept 31.873724031 2.376269e-04
#> 15   b_Intercept 31.888817292 2.321303e-04
#> 16   b_Intercept 31.903910552 2.263811e-04
#> 17   b_Intercept 31.919003813 2.204024e-04
#> 18   b_Intercept 31.934097074 2.142179e-04
#> 19   b_Intercept 31.949190334 2.078518e-04
#> 20   b_Intercept 31.964283595 2.013076e-04
#> 21   b_Intercept 31.979376856 1.946356e-04
#> 22   b_Intercept 31.994470116 1.878691e-04
#> 23   b_Intercept 32.009563377 1.810319e-04
#> 24   b_Intercept 32.024656638 1.741472e-04
#> 25   b_Intercept 32.039749899 1.672380e-04
#> 26   b_Intercept 32.054843159 1.603294e-04
#> 27   b_Intercept 32.069936420 1.534529e-04
#> 28   b_Intercept 32.085029681 1.466286e-04
#> 29   b_Intercept 32.100122941 1.398756e-04
#> 30   b_Intercept 32.115216202 1.332123e-04
#> 31   b_Intercept 32.130309463 1.266562e-04
#> 32   b_Intercept 32.145402723 1.202268e-04
#> 33   b_Intercept 32.160495984 1.139713e-04
#> 34   b_Intercept 32.175589245 1.078771e-04
#> 35   b_Intercept 32.190682505 1.019564e-04
#> 36   b_Intercept 32.205775766 9.622074e-05
#> 37   b_Intercept 32.220869027 9.068059e-05
#> 38   b_Intercept 32.235962287 8.534554e-05
#> 39   b_Intercept 32.251055548 8.026434e-05
#> 40   b_Intercept 32.266148809 7.542020e-05
#> 41   b_Intercept 32.281242069 7.080777e-05
#> 42   b_Intercept 32.296335330 6.643262e-05
#> 43   b_Intercept 32.311428591 6.229971e-05
#> 44   b_Intercept 32.326521851 5.841345e-05
#> 45   b_Intercept 32.341615112 5.480411e-05
#> 46   b_Intercept 32.356708373 5.148293e-05
#> 47   b_Intercept 32.371801634 4.842063e-05
#> 48   b_Intercept 32.386894894 4.561999e-05
#> 49   b_Intercept 32.401988155 4.308372e-05
#> 50   b_Intercept 32.417081416 4.081451e-05
#> 51   b_Intercept 32.432174676 3.882284e-05
#> 52   b_Intercept 32.447267937 3.716059e-05
#> 53   b_Intercept 32.462361198 3.577636e-05
#> 54   b_Intercept 32.477454458 3.467398e-05
#> 55   b_Intercept 32.492547719 3.385772e-05
#> 56   b_Intercept 32.507640980 3.333229e-05
#> 57   b_Intercept 32.522734240 3.310295e-05
#> 58   b_Intercept 32.537827501 3.323325e-05
#> 59   b_Intercept 32.552920762 3.369082e-05
#> 60   b_Intercept 32.568014022 3.446955e-05
#> 61   b_Intercept 32.583107283 3.557825e-05
#> 62   b_Intercept 32.598200544 3.702652e-05
#> 63   b_Intercept 32.613293804 3.882474e-05
#> 64   b_Intercept 32.628387065 4.102576e-05
#> 65   b_Intercept 32.643480326 4.365213e-05
#> 66   b_Intercept 32.658573587 4.667368e-05
#> 67   b_Intercept 32.673666847 5.010513e-05
#> 68   b_Intercept 32.688760108 5.396203e-05
#> 69   b_Intercept 32.703853369 5.826068e-05
#> 70   b_Intercept 32.718946629 6.303507e-05
#> 71   b_Intercept 32.734039890 6.838765e-05
#> 72   b_Intercept 32.749133151 7.424755e-05
#> 73   b_Intercept 32.764226411 8.063469e-05
#> 74   b_Intercept 32.779319672 8.756958e-05
#> 75   b_Intercept 32.794412933 9.507318e-05
#> 76   b_Intercept 32.809506193 1.031669e-04
#> 77   b_Intercept 32.824599454 1.119964e-04
#> 78   b_Intercept 32.839692715 1.214982e-04
#> 79   b_Intercept 32.854785975 1.316702e-04
#> 80   b_Intercept 32.869879236 1.425352e-04
#> 81   b_Intercept 32.884972497 1.541157e-04
#> 82   b_Intercept 32.900065757 1.664344e-04
#> 83   b_Intercept 32.915159018 1.796061e-04
#> 84   b_Intercept 32.930252279 1.936614e-04
#> 85   b_Intercept 32.945345539 2.085341e-04
#> 86   b_Intercept 32.960438800 2.242454e-04
#> 87   b_Intercept 32.975532061 2.408157e-04
#> 88   b_Intercept 32.990625322 2.582650e-04
#> 89   b_Intercept 33.005718582 2.766510e-04
#> 90   b_Intercept 33.020811843 2.961351e-04
#> 91   b_Intercept 33.035905104 3.165635e-04
#> 92   b_Intercept 33.050998364 3.379521e-04
#> 93   b_Intercept 33.066091625 3.603162e-04
#> 94   b_Intercept 33.081184886 3.836697e-04
#> 95   b_Intercept 33.096278146 4.080258e-04
#> 96   b_Intercept 33.111371407 4.336009e-04
#> 97   b_Intercept 33.126464668 4.602411e-04
#> 98   b_Intercept 33.141557928 4.879214e-04
#> 99   b_Intercept 33.156651189 5.166495e-04
#> 100  b_Intercept 33.171744450 5.464320e-04
#> 101  b_Intercept 33.186837710 5.772746e-04
#> 102  b_Intercept 33.201930971 6.093134e-04
#> 103  b_Intercept 33.217024232 6.425364e-04
#> 104  b_Intercept 33.232117492 6.768295e-04
#> 105  b_Intercept 33.247210753 7.121928e-04
#> 106  b_Intercept 33.262304014 7.486255e-04
#> 107  b_Intercept 33.277397275 7.861255e-04
#> 108  b_Intercept 33.292490535 8.247413e-04
#> 109  b_Intercept 33.307583796 8.646091e-04
#> 110  b_Intercept 33.322677057 9.055281e-04
#> 111  b_Intercept 33.337770317 9.474913e-04
#> 112  b_Intercept 33.352863578 9.904905e-04
#> 113  b_Intercept 33.367956839 1.034517e-03
#> 114  b_Intercept 33.383050099 1.079560e-03
#> 115  b_Intercept 33.398143360 1.125811e-03
#> 116  b_Intercept 33.413236621 1.173073e-03
#> 117  b_Intercept 33.428329881 1.221307e-03
#> 118  b_Intercept 33.443423142 1.270495e-03
#> 119  b_Intercept 33.458516403 1.320622e-03
#> 120  b_Intercept 33.473609663 1.371669e-03
#> 121  b_Intercept 33.488702924 1.423731e-03
#> 122  b_Intercept 33.503796185 1.476752e-03
#> 123  b_Intercept 33.518889445 1.530617e-03
#> 124  b_Intercept 33.533982706 1.585303e-03
#> 125  b_Intercept 33.549075967 1.640783e-03
#> 126  b_Intercept 33.564169228 1.697030e-03
#> 127  b_Intercept 33.579262488 1.754055e-03
#> 128  b_Intercept 33.594355749 1.811900e-03
#> 129  b_Intercept 33.609449010 1.870402e-03
#> 130  b_Intercept 33.624542270 1.929527e-03
#> 131  b_Intercept 33.639635531 1.989240e-03
#> 132  b_Intercept 33.654728792 2.049504e-03
#> 133  b_Intercept 33.669822052 2.110281e-03
#> 134  b_Intercept 33.684915313 2.171620e-03
#> 135  b_Intercept 33.700008574 2.233378e-03
#> 136  b_Intercept 33.715101834 2.295504e-03
#> 137  b_Intercept 33.730195095 2.357955e-03
#> 138  b_Intercept 33.745288356 2.420690e-03
#> 139  b_Intercept 33.760381616 2.483665e-03
#> 140  b_Intercept 33.775474877 2.546855e-03
#> 141  b_Intercept 33.790568138 2.610192e-03
#> 142  b_Intercept 33.805661398 2.673616e-03
#> 143  b_Intercept 33.820754659 2.737085e-03
#> 144  b_Intercept 33.835847920 2.800559e-03
#> 145  b_Intercept 33.850941180 2.864000e-03
#> 146  b_Intercept 33.866034441 2.927362e-03
#> 147  b_Intercept 33.881127702 2.990585e-03
#> 148  b_Intercept 33.896220963 3.053649e-03
#> 149  b_Intercept 33.911314223 3.116527e-03
#> 150  b_Intercept 33.926407484 3.179192e-03
#> 151  b_Intercept 33.941500745 3.241621e-03
#> 152  b_Intercept 33.956594005 3.303795e-03
#> 153  b_Intercept 33.971687266 3.365632e-03
#> 154  b_Intercept 33.986780527 3.427176e-03
#> 155  b_Intercept 34.001873787 3.488425e-03
#> 156  b_Intercept 34.016967048 3.549377e-03
#> 157  b_Intercept 34.032060309 3.610037e-03
#> 158  b_Intercept 34.047153569 3.670409e-03
#> 159  b_Intercept 34.062246830 3.730469e-03
#> 160  b_Intercept 34.077340091 3.790257e-03
#> 161  b_Intercept 34.092433351 3.849820e-03
#> 162  b_Intercept 34.107526612 3.909185e-03
#> 163  b_Intercept 34.122619873 3.968385e-03
#> 164  b_Intercept 34.137713133 4.027454e-03
#> 165  b_Intercept 34.152806394 4.086429e-03
#> 166  b_Intercept 34.167899655 4.145369e-03
#> 167  b_Intercept 34.182992916 4.204336e-03
#> 168  b_Intercept 34.198086176 4.263383e-03
#> 169  b_Intercept 34.213179437 4.322565e-03
#> 170  b_Intercept 34.228272698 4.381938e-03
#> 171  b_Intercept 34.243365958 4.441561e-03
#> 172  b_Intercept 34.258459219 4.501587e-03
#> 173  b_Intercept 34.273552480 4.562028e-03
#> 174  b_Intercept 34.288645740 4.622946e-03
#> 175  b_Intercept 34.303739001 4.684405e-03
#> 176  b_Intercept 34.318832262 4.746471e-03
#> 177  b_Intercept 34.333925522 4.809209e-03
#> 178  b_Intercept 34.349018783 4.872810e-03
#> 179  b_Intercept 34.364112044 4.937310e-03
#> 180  b_Intercept 34.379205304 5.002712e-03
#> 181  b_Intercept 34.394298565 5.069075e-03
#> 182  b_Intercept 34.409391826 5.136459e-03
#> 183  b_Intercept 34.424485086 5.204921e-03
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#> 876  b_Intercept 44.884114740 3.596698e-03
#> 877  b_Intercept 44.899208000 3.505423e-03
#> 878  b_Intercept 44.914301261 3.415681e-03
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#> 881  b_Intercept 44.959581043 3.155721e-03
#> 882  b_Intercept 44.974674304 3.071970e-03
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#> 886  b_Intercept 45.035047347 2.750444e-03
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#> 889  b_Intercept 45.080327129 2.524139e-03
#> 890  b_Intercept 45.095420389 2.451434e-03
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#> 1200        b_wt -5.771785849 2.743981e-03
#> 1201        b_wt -5.765441609 2.837882e-03
#> 1202        b_wt -5.759097370 2.936416e-03
#> 1203        b_wt -5.752753130 3.039786e-03
#> 1204        b_wt -5.746408891 3.148194e-03
#> 1205        b_wt -5.740064652 3.262606e-03
#> 1206        b_wt -5.733720412 3.383133e-03
#> 1207        b_wt -5.727376173 3.509428e-03
#> 1208        b_wt -5.721031933 3.641681e-03
#> 1209        b_wt -5.714687694 3.780080e-03
#> 1210        b_wt -5.708343455 3.924807e-03
#> 1211        b_wt -5.701999215 4.076719e-03
#> 1212        b_wt -5.695654976 4.236305e-03
#> 1213        b_wt -5.689310736 4.402799e-03
#> 1214        b_wt -5.682966497 4.576330e-03
#> 1215        b_wt -5.676622257 4.757018e-03
#> 1216        b_wt -5.670278018 4.944968e-03
#> 1217        b_wt -5.663933779 5.140759e-03
#> 1218        b_wt -5.657589539 5.345300e-03
#> 1219        b_wt -5.651245300 5.557336e-03
#> 1220        b_wt -5.644901060 5.776885e-03
#> 1221        b_wt -5.638556821 6.003944e-03
#> 1222        b_wt -5.632212582 6.238493e-03
#> 1223        b_wt -5.625868342 6.480709e-03
#> 1224        b_wt -5.619524103 6.731833e-03
#> 1225        b_wt -5.613179863 6.990180e-03
#> 1226        b_wt -5.606835624 7.255622e-03
#> 1227        b_wt -5.600491384 7.528007e-03
#> 1228        b_wt -5.594147145 7.807164e-03
#> 1229        b_wt -5.587802906 8.092904e-03
#> 1230        b_wt -5.581458666 8.386414e-03
#> 1231        b_wt -5.575114427 8.685933e-03
#> 1232        b_wt -5.568770187 8.991148e-03
#> 1233        b_wt -5.562425948 9.301771e-03
#> 1234        b_wt -5.556081709 9.617496e-03
#> 1235        b_wt -5.549737469 9.938007e-03
#> 1236        b_wt -5.543393230 1.026375e-02
#> 1237        b_wt -5.537048990 1.059355e-02
#> 1238        b_wt -5.530704751 1.092687e-02
#> 1239        b_wt -5.524360511 1.126333e-02
#> 1240        b_wt -5.518016272 1.160256e-02
#> 1241        b_wt -5.511672033 1.194418e-02
#> 1242        b_wt -5.505327793 1.228804e-02
#> 1243        b_wt -5.498983554 1.263346e-02
#> 1244        b_wt -5.492639314 1.297989e-02
#> 1245        b_wt -5.486295075 1.332700e-02
#> 1246        b_wt -5.479950836 1.367441e-02
#> 1247        b_wt -5.473606596 1.402180e-02
#> 1248        b_wt -5.467262357 1.436873e-02
#> 1249        b_wt -5.460918117 1.471476e-02
#> 1250        b_wt -5.454573878 1.505966e-02
#> 1251        b_wt -5.448229638 1.540319e-02
#> 1252        b_wt -5.441885399 1.574511e-02
#> 1253        b_wt -5.435541160 1.608522e-02
#> 1254        b_wt -5.429196920 1.642313e-02
#> 1255        b_wt -5.422852681 1.675851e-02
#> 1256        b_wt -5.416508441 1.709157e-02
#> 1257        b_wt -5.410164202 1.742224e-02
#> 1258        b_wt -5.403819963 1.775049e-02
#> 1259        b_wt -5.397475723 1.807631e-02
#> 1260        b_wt -5.391131484 1.839960e-02
#> 1261        b_wt -5.384787244 1.872015e-02
#> 1262        b_wt -5.378443005 1.903851e-02
#> 1263        b_wt -5.372098765 1.935485e-02
#> 1264        b_wt -5.365754526 1.966933e-02
#> 1265        b_wt -5.359410287 1.998216e-02
#> 1266        b_wt -5.353066047 2.029355e-02
#> 1267        b_wt -5.346721808 2.060363e-02
#> 1268        b_wt -5.340377568 2.091302e-02
#> 1269        b_wt -5.334033329 2.122205e-02
#> 1270        b_wt -5.327689090 2.153105e-02
#> 1271        b_wt -5.321344850 2.184040e-02
#> 1272        b_wt -5.315000611 2.215045e-02
#> 1273        b_wt -5.308656371 2.246200e-02
#> 1274        b_wt -5.302312132 2.277533e-02
#> 1275        b_wt -5.295967893 2.309083e-02
#> 1276        b_wt -5.289623653 2.340893e-02
#> 1277        b_wt -5.283279414 2.373003e-02
#> 1278        b_wt -5.276935174 2.405458e-02
#> 1279        b_wt -5.270590935 2.438381e-02
#> 1280        b_wt -5.264246695 2.471778e-02
#> 1281        b_wt -5.257902456 2.505666e-02
#> 1282        b_wt -5.251558217 2.540086e-02
#> 1283        b_wt -5.245213977 2.575073e-02
#> 1284        b_wt -5.238869738 2.610665e-02
#> 1285        b_wt -5.232525498 2.647000e-02
#> 1286        b_wt -5.226181259 2.684086e-02
#> 1287        b_wt -5.219837020 2.721893e-02
#> 1288        b_wt -5.213492780 2.760449e-02
#> 1289        b_wt -5.207148541 2.799779e-02
#> 1290        b_wt -5.200804301 2.839908e-02
#> 1291        b_wt -5.194460062 2.880954e-02
#> 1292        b_wt -5.188115822 2.922955e-02
#> 1293        b_wt -5.181771583 2.965821e-02
#> 1294        b_wt -5.175427344 3.009567e-02
#> 1295        b_wt -5.169083104 3.054204e-02
#> 1296        b_wt -5.162738865 3.099742e-02
#> 1297        b_wt -5.156394625 3.146263e-02
#> 1298        b_wt -5.150050386 3.193851e-02
#> 1299        b_wt -5.143706147 3.242361e-02
#> 1300        b_wt -5.137361907 3.291797e-02
#> 1301        b_wt -5.131017668 3.342161e-02
#> 1302        b_wt -5.124673428 3.393453e-02
#> 1303        b_wt -5.118329189 3.445713e-02
#> 1304        b_wt -5.111984949 3.499083e-02
#> 1305        b_wt -5.105640710 3.553378e-02
#> 1306        b_wt -5.099296471 3.608597e-02
#> 1307        b_wt -5.092952231 3.664738e-02
#> 1308        b_wt -5.086607992 3.721798e-02
#> 1309        b_wt -5.080263752 3.779785e-02
#> 1310        b_wt -5.073919513 3.838903e-02
#> 1311        b_wt -5.067575274 3.898939e-02
#> 1312        b_wt -5.061231034 3.959892e-02
#> 1313        b_wt -5.054886795 4.021764e-02
#> 1314        b_wt -5.048542555 4.084557e-02
#> 1315        b_wt -5.042198316 4.148272e-02
#> 1316        b_wt -5.035854076 4.213111e-02
#> 1317        b_wt -5.029509837 4.278908e-02
#> 1318        b_wt -5.023165598 4.345643e-02
#> 1319        b_wt -5.016821358 4.413320e-02
#> 1320        b_wt -5.010477119 4.481945e-02
#> 1321        b_wt -5.004132879 4.551525e-02
#> 1322        b_wt -4.997788640 4.622236e-02
#> 1323        b_wt -4.991444401 4.693981e-02
#> 1324        b_wt -4.985100161 4.766703e-02
#> 1325        b_wt -4.978755922 4.840409e-02
#> 1326        b_wt -4.972411682 4.915105e-02
#> 1327        b_wt -4.966067443 4.990795e-02
#> 1328        b_wt -4.959723203 5.067624e-02
#> 1329        b_wt -4.953378964 5.145559e-02
#> 1330        b_wt -4.947034725 5.224499e-02
#> 1331        b_wt -4.940690485 5.304445e-02
#> 1332        b_wt -4.934346246 5.385395e-02
#> 1333        b_wt -4.928002006 5.467348e-02
#> 1334        b_wt -4.921657767 5.550403e-02
#> 1335        b_wt -4.915313528 5.634583e-02
#> 1336        b_wt -4.908969288 5.719742e-02
#> 1337        b_wt -4.902625049 5.805871e-02
#> 1338        b_wt -4.896280809 5.892956e-02
#> 1339        b_wt -4.889936570 5.980985e-02
#> 1340        b_wt -4.883592330 6.070004e-02
#> 1341        b_wt -4.877248091 6.160082e-02
#> 1342        b_wt -4.870903852 6.251041e-02
#> 1343        b_wt -4.864559612 6.342858e-02
#> 1344        b_wt -4.858215373 6.435513e-02
#> 1345        b_wt -4.851871133 6.528982e-02
#> 1346        b_wt -4.845526894 6.623267e-02
#> 1347        b_wt -4.839182655 6.718469e-02
#> 1348        b_wt -4.832838415 6.814399e-02
#> 1349        b_wt -4.826494176 6.911032e-02
#> 1350        b_wt -4.820149936 7.008344e-02
#> 1351        b_wt -4.813805697 7.106313e-02
#> 1352        b_wt -4.807461457 7.204916e-02
#> 1353        b_wt -4.801117218 7.304270e-02
#> 1354        b_wt -4.794772979 7.404209e-02
#> 1355        b_wt -4.788428739 7.504713e-02
#> 1356        b_wt -4.782084500 7.605769e-02
#> 1357        b_wt -4.775740260 7.707365e-02
#> 1358        b_wt -4.769396021 7.809490e-02
#> 1359        b_wt -4.763051782 7.912243e-02
#> 1360        b_wt -4.756707542 8.015535e-02
#> 1361        b_wt -4.750363303 8.119347e-02
#> 1362        b_wt -4.744019063 8.223686e-02
#> 1363        b_wt -4.737674824 8.328560e-02
#> 1364        b_wt -4.731330584 8.433979e-02
#> 1365        b_wt -4.724986345 8.540057e-02
#> 1366        b_wt -4.718642106 8.646771e-02
#> 1367        b_wt -4.712297866 8.754105e-02
#> 1368        b_wt -4.705953627 8.862086e-02
#> 1369        b_wt -4.699609387 8.970746e-02
#> 1370        b_wt -4.693265148 9.080119e-02
#> 1371        b_wt -4.686920909 9.190346e-02
#> 1372        b_wt -4.680576669 9.301476e-02
#> 1373        b_wt -4.674232430 9.413469e-02
#> 1374        b_wt -4.667888190 9.526371e-02
#> 1375        b_wt -4.661543951 9.640232e-02
#> 1376        b_wt -4.655199712 9.755100e-02
#> 1377        b_wt -4.648855472 9.871135e-02
#> 1378        b_wt -4.642511233 9.988474e-02
#> 1379        b_wt -4.636166993 1.010701e-01
#> 1380        b_wt -4.629822754 1.022681e-01
#> 1381        b_wt -4.623478514 1.034791e-01
#> 1382        b_wt -4.617134275 1.047038e-01
#> 1383        b_wt -4.610790036 1.059435e-01
#> 1384        b_wt -4.604445796 1.072008e-01
#> 1385        b_wt -4.598101557 1.084737e-01
#> 1386        b_wt -4.591757317 1.097625e-01
#> 1387        b_wt -4.585413078 1.110677e-01
#> 1388        b_wt -4.579068839 1.123899e-01
#> 1389        b_wt -4.572724599 1.137297e-01
#> 1390        b_wt -4.566380360 1.150913e-01
#> 1391        b_wt -4.560036120 1.164711e-01
#> 1392        b_wt -4.553691881 1.178696e-01
#> 1393        b_wt -4.547347641 1.192869e-01
#> 1394        b_wt -4.541003402 1.207233e-01
#> 1395        b_wt -4.534659163 1.221790e-01
#> 1396        b_wt -4.528314923 1.236588e-01
#> 1397        b_wt -4.521970684 1.251586e-01
#> 1398        b_wt -4.515626444 1.266783e-01
#> 1399        b_wt -4.509282205 1.282179e-01
#> 1400        b_wt -4.502937966 1.297775e-01
#> 1401        b_wt -4.496593726 1.313570e-01
#> 1402        b_wt -4.490249487 1.329603e-01
#> 1403        b_wt -4.483905247 1.345845e-01
#> 1404        b_wt -4.477561008 1.362284e-01
#> 1405        b_wt -4.471216768 1.378920e-01
#> 1406        b_wt -4.464872529 1.395750e-01
#> 1407        b_wt -4.458528290 1.412774e-01
#> 1408        b_wt -4.452184050 1.430018e-01
#> 1409        b_wt -4.445839811 1.447467e-01
#> 1410        b_wt -4.439495571 1.465102e-01
#> 1411        b_wt -4.433151332 1.482919e-01
#> 1412        b_wt -4.426807093 1.500916e-01
#> 1413        b_wt -4.420462853 1.519091e-01
#> 1414        b_wt -4.414118614 1.537460e-01
#> 1415        b_wt -4.407774374 1.556019e-01
#> 1416        b_wt -4.401430135 1.574744e-01
#> 1417        b_wt -4.395085895 1.593632e-01
#> 1418        b_wt -4.388741656 1.612677e-01
#> 1419        b_wt -4.382397417 1.631877e-01
#> 1420        b_wt -4.376053177 1.651240e-01
#> 1421        b_wt -4.369708938 1.670771e-01
#> 1422        b_wt -4.363364698 1.690442e-01
#> 1423        b_wt -4.357020459 1.710249e-01
#> 1424        b_wt -4.350676220 1.730187e-01
#> 1425        b_wt -4.344331980 1.750252e-01
#> 1426        b_wt -4.337987741 1.770445e-01
#> 1427        b_wt -4.331643501 1.790775e-01
#> 1428        b_wt -4.325299262 1.811215e-01
#> 1429        b_wt -4.318955022 1.831759e-01
#> 1430        b_wt -4.312610783 1.852403e-01
#> 1431        b_wt -4.306266544 1.873140e-01
#> 1432        b_wt -4.299922304 1.893967e-01
#> 1433        b_wt -4.293578065 1.914893e-01
#> 1434        b_wt -4.287233825 1.935894e-01
#> 1435        b_wt -4.280889586 1.956964e-01
#> 1436        b_wt -4.274545347 1.978097e-01
#> 1437        b_wt -4.268201107 1.999287e-01
#> 1438        b_wt -4.261856868 2.020528e-01
#> 1439        b_wt -4.255512628 2.041824e-01
#> 1440        b_wt -4.249168389 2.063158e-01
#> 1441        b_wt -4.242824149 2.084525e-01
#> 1442        b_wt -4.236479910 2.105917e-01
#> 1443        b_wt -4.230135671 2.127331e-01
#> 1444        b_wt -4.223791431 2.148762e-01
#> 1445        b_wt -4.217447192 2.170204e-01
#> 1446        b_wt -4.211102952 2.191652e-01
#> 1447        b_wt -4.204758713 2.213101e-01
#> 1448        b_wt -4.198414474 2.234546e-01
#> 1449        b_wt -4.192070234 2.255984e-01
#> 1450        b_wt -4.185725995 2.277412e-01
#> 1451        b_wt -4.179381755 2.298825e-01
#> 1452        b_wt -4.173037516 2.320221e-01
#> 1453        b_wt -4.166693276 2.341599e-01
#> 1454        b_wt -4.160349037 2.362959e-01
#> 1455        b_wt -4.154004798 2.384299e-01
#> 1456        b_wt -4.147660558 2.405620e-01
#> 1457        b_wt -4.141316319 2.426919e-01
#> 1458        b_wt -4.134972079 2.448199e-01
#> 1459        b_wt -4.128627840 2.469462e-01
#> 1460        b_wt -4.122283601 2.490712e-01
#> 1461        b_wt -4.115939361 2.511950e-01
#> 1462        b_wt -4.109595122 2.533181e-01
#> 1463        b_wt -4.103250882 2.554406e-01
#> 1464        b_wt -4.096906643 2.575633e-01
#> 1465        b_wt -4.090562403 2.596867e-01
#> 1466        b_wt -4.084218164 2.618111e-01
#> 1467        b_wt -4.077873925 2.639373e-01
#> 1468        b_wt -4.071529685 2.660656e-01
#> 1469        b_wt -4.065185446 2.681968e-01
#> 1470        b_wt -4.058841206 2.703323e-01
#> 1471        b_wt -4.052496967 2.724722e-01
#> 1472        b_wt -4.046152728 2.746170e-01
#> 1473        b_wt -4.039808488 2.767673e-01
#> 1474        b_wt -4.033464249 2.789238e-01
#> 1475        b_wt -4.027120009 2.810870e-01
#> 1476        b_wt -4.020775770 2.832595e-01
#> 1477        b_wt -4.014431530 2.854403e-01
#> 1478        b_wt -4.008087291 2.876298e-01
#> 1479        b_wt -4.001743052 2.898285e-01
#> 1480        b_wt -3.995398812 2.920368e-01
#> 1481        b_wt -3.989054573 2.942552e-01
#> 1482        b_wt -3.982710333 2.964863e-01
#> 1483        b_wt -3.976366094 2.987286e-01
#> 1484        b_wt -3.970021855 3.009820e-01
#> 1485        b_wt -3.963677615 3.032466e-01
#> 1486        b_wt -3.957333376 3.055225e-01
#> 1487        b_wt -3.950989136 3.078097e-01
#> 1488        b_wt -3.944644897 3.101102e-01
#> 1489        b_wt -3.938300658 3.124226e-01
#> 1490        b_wt -3.931956418 3.147458e-01
#> 1491        b_wt -3.925612179 3.170797e-01
#> 1492        b_wt -3.919267939 3.194238e-01
#> 1493        b_wt -3.912923700 3.217778e-01
#> 1494        b_wt -3.906579460 3.241423e-01
#> 1495        b_wt -3.900235221 3.265163e-01
#> 1496        b_wt -3.893890982 3.288982e-01
#> 1497        b_wt -3.887546742 3.312872e-01
#> 1498        b_wt -3.881202503 3.336828e-01
#> 1499        b_wt -3.874858263 3.360840e-01
#> 1500        b_wt -3.868514024 3.384905e-01
#> 1501        b_wt -3.862169785 3.409012e-01
#> 1502        b_wt -3.855825545 3.433145e-01
#> 1503        b_wt -3.849481306 3.457295e-01
#> 1504        b_wt -3.843137066 3.481453e-01
#> 1505        b_wt -3.836792827 3.505610e-01
#> 1506        b_wt -3.830448587 3.529755e-01
#> 1507        b_wt -3.824104348 3.553871e-01
#> 1508        b_wt -3.817760109 3.577953e-01
#> 1509        b_wt -3.811415869 3.601990e-01
#> 1510        b_wt -3.805071630 3.625974e-01
#> 1511        b_wt -3.798727390 3.649897e-01
#> 1512        b_wt -3.792383151 3.673748e-01
#> 1513        b_wt -3.786038912 3.697502e-01
#> 1514        b_wt -3.779694672 3.721165e-01
#> 1515        b_wt -3.773350433 3.744733e-01
#> 1516        b_wt -3.767006193 3.768198e-01
#> 1517        b_wt -3.760661954 3.791555e-01
#> 1518        b_wt -3.754317714 3.814798e-01
#> 1519        b_wt -3.747973475 3.837895e-01
#> 1520        b_wt -3.741629236 3.860866e-01
#> 1521        b_wt -3.735284996 3.883709e-01
#> 1522        b_wt -3.728940757 3.906424e-01
#> 1523        b_wt -3.722596517 3.929006e-01
#> 1524        b_wt -3.716252278 3.951457e-01
#> 1525        b_wt -3.709908039 3.973748e-01
#> 1526        b_wt -3.703563799 3.995899e-01
#> 1527        b_wt -3.697219560 4.017918e-01
#> 1528        b_wt -3.690875320 4.039806e-01
#> 1529        b_wt -3.684531081 4.061564e-01
#> 1530        b_wt -3.678186841 4.083196e-01
#> 1531        b_wt -3.671842602 4.104683e-01
#> 1532        b_wt -3.665498363 4.126040e-01
#> 1533        b_wt -3.659154123 4.147281e-01
#> 1534        b_wt -3.652809884 4.168408e-01
#> 1535        b_wt -3.646465644 4.189426e-01
#> 1536        b_wt -3.640121405 4.210338e-01
#> 1537        b_wt -3.633777166 4.231136e-01
#> 1538        b_wt -3.627432926 4.251826e-01
#> 1539        b_wt -3.621088687 4.272423e-01
#> 1540        b_wt -3.614744447 4.292930e-01
#> 1541        b_wt -3.608400208 4.313352e-01
#> 1542        b_wt -3.602055968 4.333689e-01
#> 1543        b_wt -3.595711729 4.353939e-01
#> 1544        b_wt -3.589367490 4.374098e-01
#> 1545        b_wt -3.583023250 4.394180e-01
#> 1546        b_wt -3.576679011 4.414186e-01
#> 1547        b_wt -3.570334771 4.434115e-01
#> 1548        b_wt -3.563990532 4.453967e-01
#> 1549        b_wt -3.557646293 4.473737e-01
#> 1550        b_wt -3.551302053 4.493410e-01
#> 1551        b_wt -3.544957814 4.512999e-01
#> 1552        b_wt -3.538613574 4.532498e-01
#> 1553        b_wt -3.532269335 4.551905e-01
#> 1554        b_wt -3.525925095 4.571212e-01
#> 1555        b_wt -3.519580856 4.590414e-01
#> 1556        b_wt -3.513236617 4.609475e-01
#> 1557        b_wt -3.506892377 4.628412e-01
#> 1558        b_wt -3.500548138 4.647217e-01
#> 1559        b_wt -3.494203898 4.665879e-01
#> 1560        b_wt -3.487859659 4.684388e-01
#> 1561        b_wt -3.481515420 4.702735e-01
#> 1562        b_wt -3.475171180 4.720866e-01
#> 1563        b_wt -3.468826941 4.738799e-01
#> 1564        b_wt -3.462482701 4.756527e-01
#> 1565        b_wt -3.456138462 4.774036e-01
#> 1566        b_wt -3.449794222 4.791314e-01
#> 1567        b_wt -3.443449983 4.808348e-01
#> 1568        b_wt -3.437105744 4.825072e-01
#> 1569        b_wt -3.430761504 4.841501e-01
#> 1570        b_wt -3.424417265 4.857636e-01
#> 1571        b_wt -3.418073025 4.873463e-01
#> 1572        b_wt -3.411728786 4.888969e-01
#> 1573        b_wt -3.405384547 4.904140e-01
#> 1574        b_wt -3.399040307 4.918911e-01
#> 1575        b_wt -3.392696068 4.933279e-01
#> 1576        b_wt -3.386351828 4.947267e-01
#> 1577        b_wt -3.380007589 4.960862e-01
#> 1578        b_wt -3.373663349 4.974053e-01
#> 1579        b_wt -3.367319110 4.986829e-01
#> 1580        b_wt -3.360974871 4.999131e-01
#> 1581        b_wt -3.354630631 5.010935e-01
#> 1582        b_wt -3.348286392 5.022288e-01
#> 1583        b_wt -3.341942152 5.033182e-01
#> 1584        b_wt -3.335597913 5.043609e-01
#> 1585        b_wt -3.329253674 5.053562e-01
#> 1586        b_wt -3.322909434 5.062999e-01
#> 1587        b_wt -3.316565195 5.071863e-01
#> 1588        b_wt -3.310220955 5.080233e-01
#> 1589        b_wt -3.303876716 5.088102e-01
#> 1590        b_wt -3.297532477 5.095468e-01
#> 1591        b_wt -3.291188237 5.102326e-01
#> 1592        b_wt -3.284843998 5.108655e-01
#> 1593        b_wt -3.278499758 5.114366e-01
#> 1594        b_wt -3.272155519 5.119561e-01
#> 1595        b_wt -3.265811279 5.124239e-01
#> 1596        b_wt -3.259467040 5.128400e-01
#> 1597        b_wt -3.253122801 5.132043e-01
#> 1598        b_wt -3.246778561 5.135167e-01
#> 1599        b_wt -3.240434322 5.137650e-01
#> 1600        b_wt -3.234090082 5.139615e-01
#> 1601        b_wt -3.227745843 5.141065e-01
#> 1602        b_wt -3.221401604 5.142000e-01
#> 1603        b_wt -3.215057364 5.142423e-01
#> 1604        b_wt -3.208713125 5.142334e-01
#> 1605        b_wt -3.202368885 5.141631e-01
#> 1606        b_wt -3.196024646 5.140406e-01
#> 1607        b_wt -3.189680406 5.138677e-01
#> 1608        b_wt -3.183336167 5.136448e-01
#> 1609        b_wt -3.176991928 5.133722e-01
#> 1610        b_wt -3.170647688 5.130502e-01
#> 1611        b_wt -3.164303449 5.126709e-01
#> 1612        b_wt -3.157959209 5.122397e-01
#> 1613        b_wt -3.151614970 5.117605e-01
#> 1614        b_wt -3.145270731 5.112338e-01
#> 1615        b_wt -3.138926491 5.106601e-01
#> 1616        b_wt -3.132582252 5.100397e-01
#> 1617        b_wt -3.126238012 5.093674e-01
#> 1618        b_wt -3.119893773 5.086451e-01
#> 1619        b_wt -3.113549533 5.078785e-01
#> 1620        b_wt -3.107205294 5.070683e-01
#> 1621        b_wt -3.100861055 5.062152e-01
#> 1622        b_wt -3.094516815 5.053200e-01
#> 1623        b_wt -3.088172576 5.043797e-01
#> 1624        b_wt -3.081828336 5.033937e-01
#> 1625        b_wt -3.075484097 5.023688e-01
#> 1626        b_wt -3.069139858 5.013062e-01
#> 1627        b_wt -3.062795618 5.002069e-01
#> 1628        b_wt -3.056451379 4.990719e-01
#> 1629        b_wt -3.050107139 4.979005e-01
#> 1630        b_wt -3.043762900 4.966904e-01
#> 1631        b_wt -3.037418660 4.954490e-01
#> 1632        b_wt -3.031074421 4.941778e-01
#> 1633        b_wt -3.024730182 4.928780e-01
#> 1634        b_wt -3.018385942 4.915510e-01
#> 1635        b_wt -3.012041703 4.901975e-01
#> 1636        b_wt -3.005697463 4.888150e-01
#> 1637        b_wt -2.999353224 4.874105e-01
#> 1638        b_wt -2.993008985 4.859853e-01
#> 1639        b_wt -2.986664745 4.845410e-01
#> 1640        b_wt -2.980320506 4.830789e-01
#> 1641        b_wt -2.973976266 4.816006e-01
#> 1642        b_wt -2.967632027 4.801046e-01
#> 1643        b_wt -2.961287787 4.785959e-01
#> 1644        b_wt -2.954943548 4.770761e-01
#> 1645        b_wt -2.948599309 4.755463e-01
#> 1646        b_wt -2.942255069 4.740081e-01
#> 1647        b_wt -2.935910830 4.724625e-01
#> 1648        b_wt -2.929566590 4.709100e-01
#> 1649        b_wt -2.923222351 4.693529e-01
#> 1650        b_wt -2.916878112 4.677926e-01
#> 1651        b_wt -2.910533872 4.662299e-01
#> 1652        b_wt -2.904189633 4.646659e-01
#> 1653        b_wt -2.897845393 4.631012e-01
#> 1654        b_wt -2.891501154 4.615370e-01
#> 1655        b_wt -2.885156914 4.599739e-01
#> 1656        b_wt -2.878812675 4.584124e-01
#> 1657        b_wt -2.872468436 4.568531e-01
#> 1658        b_wt -2.866124196 4.552962e-01
#> 1659        b_wt -2.859779957 4.537419e-01
#> 1660        b_wt -2.853435717 4.521908e-01
#> 1661        b_wt -2.847091478 4.506430e-01
#> 1662        b_wt -2.840747239 4.490980e-01
#> 1663        b_wt -2.834402999 4.475556e-01
#> 1664        b_wt -2.828058760 4.460155e-01
#> 1665        b_wt -2.821714520 4.444775e-01
#> 1666        b_wt -2.815370281 4.429413e-01
#> 1667        b_wt -2.809026041 4.414061e-01
#> 1668        b_wt -2.802681802 4.398711e-01
#> 1669        b_wt -2.796337563 4.383357e-01
#> 1670        b_wt -2.789993323 4.367991e-01
#> 1671        b_wt -2.783649084 4.352606e-01
#> 1672        b_wt -2.777304844 4.337191e-01
#> 1673        b_wt -2.770960605 4.321729e-01
#> 1674        b_wt -2.764616366 4.306216e-01
#> 1675        b_wt -2.758272126 4.290642e-01
#> 1676        b_wt -2.751927887 4.274997e-01
#> 1677        b_wt -2.745583647 4.259273e-01
#> 1678        b_wt -2.739239408 4.243456e-01
#> 1679        b_wt -2.732895168 4.227513e-01
#> 1680        b_wt -2.726550929 4.211452e-01
#> 1681        b_wt -2.720206690 4.195265e-01
#> 1682        b_wt -2.713862450 4.178942e-01
#> 1683        b_wt -2.707518211 4.162473e-01
#> 1684        b_wt -2.701173971 4.145848e-01
#> 1685        b_wt -2.694829732 4.129019e-01
#> 1686        b_wt -2.688485493 4.112009e-01
#> 1687        b_wt -2.682141253 4.094812e-01
#> 1688        b_wt -2.675797014 4.077421e-01
#> 1689        b_wt -2.669452774 4.059829e-01
#> 1690        b_wt -2.663108535 4.042029e-01
#> 1691        b_wt -2.656764295 4.023973e-01
#> 1692        b_wt -2.650420056 4.005682e-01
#> 1693        b_wt -2.644075817 3.987163e-01
#> 1694        b_wt -2.637731577 3.968411e-01
#> 1695        b_wt -2.631387338 3.949423e-01
#> 1696        b_wt -2.625043098 3.930196e-01
#> 1697        b_wt -2.618698859 3.910691e-01
#> 1698        b_wt -2.612354620 3.890918e-01
#> 1699        b_wt -2.606010380 3.870900e-01
#> 1700        b_wt -2.599666141 3.850635e-01
#> 1701        b_wt -2.593321901 3.830124e-01
#> 1702        b_wt -2.586977662 3.809367e-01
#> 1703        b_wt -2.580633423 3.788338e-01
#> 1704        b_wt -2.574289183 3.767035e-01
#> 1705        b_wt -2.567944944 3.745493e-01
#> 1706        b_wt -2.561600704 3.723714e-01
#> 1707        b_wt -2.555256465 3.701702e-01
#> 1708        b_wt -2.548912225 3.679461e-01
#> 1709        b_wt -2.542567986 3.656977e-01
#> 1710        b_wt -2.536223747 3.634239e-01
#> 1711        b_wt -2.529879507 3.611289e-01
#> 1712        b_wt -2.523535268 3.588132e-01
#> 1713        b_wt -2.517191028 3.564775e-01
#> 1714        b_wt -2.510846789 3.541224e-01
#> 1715        b_wt -2.504502550 3.517478e-01
#> 1716        b_wt -2.498158310 3.493520e-01
#> 1717        b_wt -2.491814071 3.469394e-01
#> 1718        b_wt -2.485469831 3.445109e-01
#> 1719        b_wt -2.479125592 3.420672e-01
#> 1720        b_wt -2.472781352 3.396092e-01
#> 1721        b_wt -2.466437113 3.371378e-01
#> 1722        b_wt -2.460092874 3.346512e-01
#> 1723        b_wt -2.453748634 3.321536e-01
#> 1724        b_wt -2.447404395 3.296460e-01
#> 1725        b_wt -2.441060155 3.271292e-01
#> 1726        b_wt -2.434715916 3.246044e-01
#> 1727        b_wt -2.428371677 3.220724e-01
#> 1728        b_wt -2.422027437 3.195332e-01
#> 1729        b_wt -2.415683198 3.169894e-01
#> 1730        b_wt -2.409338958 3.144419e-01
#> 1731        b_wt -2.402994719 3.118919e-01
#> 1732        b_wt -2.396650479 3.093402e-01
#> 1733        b_wt -2.390306240 3.067879e-01
#> 1734        b_wt -2.383962001 3.042360e-01
#> 1735        b_wt -2.377617761 3.016859e-01
#> 1736        b_wt -2.371273522 2.991383e-01
#> 1737        b_wt -2.364929282 2.965941e-01
#> 1738        b_wt -2.358585043 2.940539e-01
#> 1739        b_wt -2.352240804 2.915185e-01
#> 1740        b_wt -2.345896564 2.889895e-01
#> 1741        b_wt -2.339552325 2.864676e-01
#> 1742        b_wt -2.333208085 2.839527e-01
#> 1743        b_wt -2.326863846 2.814453e-01
#> 1744        b_wt -2.320519606 2.789457e-01
#> 1745        b_wt -2.314175367 2.764542e-01
#> 1746        b_wt -2.307831128 2.739722e-01
#> 1747        b_wt -2.301486888 2.715000e-01
#> 1748        b_wt -2.295142649 2.690367e-01
#> 1749        b_wt -2.288798409 2.665822e-01
#> 1750        b_wt -2.282454170 2.641365e-01
#> 1751        b_wt -2.276109931 2.616994e-01
#> 1752        b_wt -2.269765691 2.592712e-01
#> 1753        b_wt -2.263421452 2.568526e-01
#> 1754        b_wt -2.257077212 2.544416e-01
#> 1755        b_wt -2.250732973 2.520378e-01
#> 1756        b_wt -2.244388733 2.496408e-01
#> 1757        b_wt -2.238044494 2.472501e-01
#> 1758        b_wt -2.231700255 2.448653e-01
#> 1759        b_wt -2.225356015 2.424864e-01
#> 1760        b_wt -2.219011776 2.401116e-01
#> 1761        b_wt -2.212667536 2.377403e-01
#> 1762        b_wt -2.206323297 2.353719e-01
#> 1763        b_wt -2.199979058 2.330056e-01
#> 1764        b_wt -2.193634818 2.306407e-01
#> 1765        b_wt -2.187290579 2.282767e-01
#> 1766        b_wt -2.180946339 2.259124e-01
#> 1767        b_wt -2.174602100 2.235473e-01
#> 1768        b_wt -2.168257860 2.211808e-01
#> 1769        b_wt -2.161913621 2.188122e-01
#> 1770        b_wt -2.155569382 2.164412e-01
#> 1771        b_wt -2.149225142 2.140665e-01
#> 1772        b_wt -2.142880903 2.116881e-01
#> 1773        b_wt -2.136536663 2.093057e-01
#> 1774        b_wt -2.130192424 2.069191e-01
#> 1775        b_wt -2.123848185 2.045281e-01
#> 1776        b_wt -2.117503945 2.021326e-01
#> 1777        b_wt -2.111159706 1.997318e-01
#> 1778        b_wt -2.104815466 1.973261e-01
#> 1779        b_wt -2.098471227 1.949159e-01
#> 1780        b_wt -2.092126987 1.925016e-01
#> 1781        b_wt -2.085782748 1.900834e-01
#> 1782        b_wt -2.079438509 1.876616e-01
#> 1783        b_wt -2.073094269 1.852363e-01
#> 1784        b_wt -2.066750030 1.828084e-01
#> 1785        b_wt -2.060405790 1.803789e-01
#> 1786        b_wt -2.054061551 1.779483e-01
#> 1787        b_wt -2.047717312 1.755176e-01
#> 1788        b_wt -2.041373072 1.730873e-01
#> 1789        b_wt -2.035028833 1.706587e-01
#> 1790        b_wt -2.028684593 1.682333e-01
#> 1791        b_wt -2.022340354 1.658118e-01
#> 1792        b_wt -2.015996114 1.633952e-01
#> 1793        b_wt -2.009651875 1.609846e-01
#> 1794        b_wt -2.003307636 1.585812e-01
#> 1795        b_wt -1.996963396 1.561865e-01
#> 1796        b_wt -1.990619157 1.538035e-01
#> 1797        b_wt -1.984274917 1.514318e-01
#> 1798        b_wt -1.977930678 1.490725e-01
#> 1799        b_wt -1.971586439 1.467270e-01
#> 1800        b_wt -1.965242199 1.443963e-01
#> 1801        b_wt -1.958897960 1.420820e-01
#> 1802        b_wt -1.952553720 1.397892e-01
#> 1803        b_wt -1.946209481 1.375154e-01
#> 1804        b_wt -1.939865242 1.352619e-01
#> 1805        b_wt -1.933521002 1.330297e-01
#> 1806        b_wt -1.927176763 1.308198e-01
#> 1807        b_wt -1.920832523 1.286333e-01
#> 1808        b_wt -1.914488284 1.264768e-01
#> 1809        b_wt -1.908144044 1.243467e-01
#> 1810        b_wt -1.901799805 1.222433e-01
#> 1811        b_wt -1.895455566 1.201675e-01
#> 1812        b_wt -1.889111326 1.181199e-01
#> 1813        b_wt -1.882767087 1.161012e-01
#> 1814        b_wt -1.876422847 1.141179e-01
#> 1815        b_wt -1.870078608 1.121668e-01
#> 1816        b_wt -1.863734369 1.102467e-01
#> 1817        b_wt -1.857390129 1.083581e-01
#> 1818        b_wt -1.851045890 1.065013e-01
#> 1819        b_wt -1.844701650 1.046766e-01
#> 1820        b_wt -1.838357411 1.028891e-01
#> 1821        b_wt -1.832013171 1.011373e-01
#> 1822        b_wt -1.825668932 9.941820e-02
#> 1823        b_wt -1.819324693 9.773184e-02
#> 1824        b_wt -1.812980453 9.607821e-02
#> 1825        b_wt -1.806636214 9.445725e-02
#> 1826        b_wt -1.800291974 9.287252e-02
#> 1827        b_wt -1.793947735 9.132416e-02
#> 1828        b_wt -1.787603496 8.980778e-02
#> 1829        b_wt -1.781259256 8.832311e-02
#> 1830        b_wt -1.774915017 8.686983e-02
#> 1831        b_wt -1.768570777 8.544758e-02
#> 1832        b_wt -1.762226538 8.405835e-02
#> 1833        b_wt -1.755882298 8.270406e-02
#> 1834        b_wt -1.749538059 8.137927e-02
#> 1835        b_wt -1.743193820 8.008351e-02
#> 1836        b_wt -1.736849580 7.881630e-02
#> 1837        b_wt -1.730505341 7.757712e-02
#> 1838        b_wt -1.724161101 7.636660e-02
#> 1839        b_wt -1.717816862 7.518818e-02
#> 1840        b_wt -1.711472623 7.403588e-02
#> 1841        b_wt -1.705128383 7.290914e-02
#> 1842        b_wt -1.698784144 7.180742e-02
#> 1843        b_wt -1.692439904 7.073017e-02
#> 1844        b_wt -1.686095665 6.967699e-02
#> 1845        b_wt -1.679751425 6.865245e-02
#> 1846        b_wt -1.673407186 6.765039e-02
#> 1847        b_wt -1.667062947 6.667027e-02
#> 1848        b_wt -1.660718707 6.571155e-02
#> 1849        b_wt -1.654374468 6.477370e-02
#> 1850        b_wt -1.648030228 6.385617e-02
#> 1851        b_wt -1.641685989 6.296246e-02
#> 1852        b_wt -1.635341750 6.208825e-02
#> 1853        b_wt -1.628997510 6.123246e-02
#> 1854        b_wt -1.622653271 6.039454e-02
#> 1855        b_wt -1.616309031 5.957398e-02
#> 1856        b_wt -1.609964792 5.877025e-02
#> 1857        b_wt -1.603620552 5.798553e-02
#> 1858        b_wt -1.597276313 5.721730e-02
#> 1859        b_wt -1.590932074 5.646396e-02
#> 1860        b_wt -1.584587834 5.572497e-02
#> 1861        b_wt -1.578243595 5.499978e-02
#> 1862        b_wt -1.571899355 5.428786e-02
#> 1863        b_wt -1.565555116 5.359029e-02
#> 1864        b_wt -1.559210877 5.290580e-02
#> 1865        b_wt -1.552866637 5.223254e-02
#> 1866        b_wt -1.546522398 5.156994e-02
#> 1867        b_wt -1.540178158 5.091742e-02
#> 1868        b_wt -1.533833919 5.027442e-02
#> 1869        b_wt -1.527489679 4.964120e-02
#> 1870        b_wt -1.521145440 4.901719e-02
#> 1871        b_wt -1.514801201 4.840062e-02
#> 1872        b_wt -1.508456961 4.779091e-02
#> 1873        b_wt -1.502112722 4.718749e-02
#> 1874        b_wt -1.495768482 4.658982e-02
#> 1875        b_wt -1.489424243 4.599763e-02
#> 1876        b_wt -1.483080004 4.541066e-02
#> 1877        b_wt -1.476735764 4.482750e-02
#> 1878        b_wt -1.470391525 4.424764e-02
#> 1879        b_wt -1.464047285 4.367061e-02
#> 1880        b_wt -1.457703046 4.309595e-02
#> 1881        b_wt -1.451358806 4.252326e-02
#> 1882        b_wt -1.445014567 4.195221e-02
#> 1883        b_wt -1.438670328 4.138205e-02
#> 1884        b_wt -1.432326088 4.081243e-02
#> 1885        b_wt -1.425981849 4.024304e-02
#> 1886        b_wt -1.419637609 3.967358e-02
#> 1887        b_wt -1.413293370 3.910380e-02
#> 1888        b_wt -1.406949131 3.853326e-02
#> 1889        b_wt -1.400604891 3.796188e-02
#> 1890        b_wt -1.394260652 3.738952e-02
#> 1891        b_wt -1.387916412 3.681608e-02
#> 1892        b_wt -1.381572173 3.624150e-02
#> 1893        b_wt -1.375227933 3.566572e-02
#> 1894        b_wt -1.368883694 3.508851e-02
#> 1895        b_wt -1.362539455 3.451012e-02
#> 1896        b_wt -1.356195215 3.393066e-02
#> 1897        b_wt -1.349850976 3.335026e-02
#> 1898        b_wt -1.343506736 3.276903e-02
#> 1899        b_wt -1.337162497 3.218713e-02
#> 1900        b_wt -1.330818258 3.160473e-02
#> 1901        b_wt -1.324474018 3.102215e-02
#> 1902        b_wt -1.318129779 3.043969e-02
#> 1903        b_wt -1.311785539 2.985759e-02
#> 1904        b_wt -1.305441300 2.927613e-02
#> 1905        b_wt -1.299097060 2.869560e-02
#> 1906        b_wt -1.292752821 2.811652e-02
#> 1907        b_wt -1.286408582 2.753934e-02
#> 1908        b_wt -1.280064342 2.696423e-02
#> 1909        b_wt -1.273720103 2.639153e-02
#> 1910        b_wt -1.267375863 2.582159e-02
#> 1911        b_wt -1.261031624 2.525473e-02
#> 1912        b_wt -1.254687385 2.469166e-02
#> 1913        b_wt -1.248343145 2.413311e-02
#> 1914        b_wt -1.241998906 2.357888e-02
#> 1915        b_wt -1.235654666 2.302931e-02
#> 1916        b_wt -1.229310427 2.248473e-02
#> 1917        b_wt -1.222966188 2.194547e-02
#> 1918        b_wt -1.216621948 2.141219e-02
#> 1919        b_wt -1.210277709 2.088609e-02
#> 1920        b_wt -1.203933469 2.036643e-02
#> 1921        b_wt -1.197589230 1.985348e-02
#> 1922        b_wt -1.191244990 1.934752e-02
#> 1923        b_wt -1.184900751 1.884882e-02
#> 1924        b_wt -1.178556512 1.835778e-02
#> 1925        b_wt -1.172212272 1.787631e-02
#> 1926        b_wt -1.165868033 1.740297e-02
#> 1927        b_wt -1.159523793 1.693795e-02
#> 1928        b_wt -1.153179554 1.648146e-02
#> 1929        b_wt -1.146835315 1.603369e-02
#> 1930        b_wt -1.140491075 1.559480e-02
#> 1931        b_wt -1.134146836 1.516704e-02
#> 1932        b_wt -1.127802596 1.474870e-02
#> 1933        b_wt -1.121458357 1.433975e-02
#> 1934        b_wt -1.115114117 1.394030e-02
#> 1935        b_wt -1.108769878 1.355044e-02
#> 1936        b_wt -1.102425639 1.317027e-02
#> 1937        b_wt -1.096081399 1.280170e-02
#> 1938        b_wt -1.089737160 1.244346e-02
#> 1939        b_wt -1.083392920 1.209508e-02
#> 1940        b_wt -1.077048681 1.175656e-02
#> 1941        b_wt -1.070704442 1.142791e-02
#> 1942        b_wt -1.064360202 1.110912e-02
#> 1943        b_wt -1.058015963 1.080166e-02
#> 1944        b_wt -1.051671723 1.050483e-02
#> 1945        b_wt -1.045327484 1.021769e-02
#> 1946        b_wt -1.038983244 9.940161e-03
#> 1947        b_wt -1.032639005 9.672159e-03
#> 1948        b_wt -1.026294766 9.413579e-03
#> 1949        b_wt -1.019950526 9.165374e-03
#> 1950        b_wt -1.013606287 8.927409e-03
#> 1951        b_wt -1.007262047 8.698379e-03
#> 1952        b_wt -1.000917808 8.478124e-03
#> 1953        b_wt -0.994573569 8.266469e-03
#> 1954        b_wt -0.988229329 8.063234e-03
#> 1955        b_wt -0.981885090 7.868869e-03
#> 1956        b_wt -0.975540850 7.683706e-03
#> 1957        b_wt -0.969196611 7.506216e-03
#> 1958        b_wt -0.962852371 7.336171e-03
#> 1959        b_wt -0.956508132 7.173340e-03
#> 1960        b_wt -0.950163893 7.017486e-03
#> 1961        b_wt -0.943819653 6.868653e-03
#> 1962        b_wt -0.937475414 6.727462e-03
#> 1963        b_wt -0.931131174 6.592342e-03
#> 1964        b_wt -0.924786935 6.463036e-03
#> 1965        b_wt -0.918442696 6.339286e-03
#> 1966        b_wt -0.912098456 6.220832e-03
#> 1967        b_wt -0.905754217 6.107457e-03
#> 1968        b_wt -0.899409977 5.999866e-03
#> 1969        b_wt -0.893065738 5.896634e-03
#> 1970        b_wt -0.886721498 5.797510e-03
#> 1971        b_wt -0.880377259 5.702245e-03
#> 1972        b_wt -0.874033020 5.610594e-03
#> 1973        b_wt -0.867688780 5.522316e-03
#> 1974        b_wt -0.861344541 5.437769e-03
#> 1975        b_wt -0.855000301 5.356072e-03
#> 1976        b_wt -0.848656062 5.276925e-03
#> 1977        b_wt -0.842311823 5.200120e-03
#> 1978        b_wt -0.835967583 5.125453e-03
#> 1979        b_wt -0.829623344 5.052728e-03
#> 1980        b_wt -0.823279104 4.982021e-03
#> 1981        b_wt -0.816934865 4.912890e-03
#> 1982        b_wt -0.810590625 4.845065e-03
#> 1983        b_wt -0.804246386 4.778394e-03
#> 1984        b_wt -0.797902147 4.712731e-03
#> 1985        b_wt -0.791557907 4.647938e-03
#> 1986        b_wt -0.785213668 4.583967e-03
#> 1987        b_wt -0.778869428 4.520623e-03
#> 1988        b_wt -0.772525189 4.457731e-03
#> 1989        b_wt -0.766180950 4.395200e-03
#> 1990        b_wt -0.759836710 4.332944e-03
#> 1991        b_wt -0.753492471 4.270886e-03
#> 1992        b_wt -0.747148231 4.208960e-03
#> 1993        b_wt -0.740803992 4.147084e-03
#> 1994        b_wt -0.734459752 4.085197e-03
#> 1995        b_wt -0.728115513 4.023260e-03
#> 1996        b_wt -0.721771274 3.961241e-03
#> 1997        b_wt -0.715427034 3.899114e-03
#> 1998        b_wt -0.709082795 3.836850e-03
#> 1999        b_wt -0.702738555 3.774419e-03
#> 2000        b_wt -0.696394316 3.711843e-03
#> 2001        b_wt -0.690050077 3.649126e-03
#> 2002        b_wt -0.683705837 3.586275e-03
#> 2003        b_wt -0.677361598 3.523305e-03
#> 2004        b_wt -0.671017358 3.460229e-03
#> 2005        b_wt -0.664673119 3.397066e-03
#> 2006        b_wt -0.658328879 3.333868e-03
#> 2007        b_wt -0.651984640 3.270664e-03
#> 2008        b_wt -0.645640401 3.207489e-03
#> 2009        b_wt -0.639296161 3.144381e-03
#> 2010        b_wt -0.632951922 3.081378e-03
#> 2011        b_wt -0.626607682 3.018570e-03
#> 2012        b_wt -0.620263443 2.955979e-03
#> 2013        b_wt -0.613919204 2.893646e-03
#> 2014        b_wt -0.607574964 2.831618e-03
#> 2015        b_wt -0.601230725 2.769938e-03
#> 2016        b_wt -0.594886485 2.708651e-03
#> 2017        b_wt -0.588542246 2.647904e-03
#> 2018        b_wt -0.582198007 2.587683e-03
#> 2019        b_wt -0.575853767 2.528013e-03
#> 2020        b_wt -0.569509528 2.468933e-03
#> 2021        b_wt -0.563165288 2.410483e-03
#> 2022        b_wt -0.556821049 2.352700e-03
#> 2023        b_wt -0.550476809 2.295743e-03
#> 2024        b_wt -0.544132570 2.239593e-03
#> 2025        b_wt -0.537788331 2.184224e-03
#> 2026        b_wt -0.531444091 2.129662e-03
#> 2027        b_wt -0.525099852 2.075930e-03
#> 2028        b_wt -0.518755612 2.023046e-03
#> 2029        b_wt -0.512411373 1.971146e-03
#> 2030        b_wt -0.506067134 1.920229e-03
#> 2031        b_wt -0.499722894 1.870207e-03
#> 2032        b_wt -0.493378655 1.821087e-03
#> 2033        b_wt -0.487034415 1.772870e-03
#> 2034        b_wt -0.480690176 1.725558e-03
#> 2035        b_wt -0.474345936 1.679231e-03
#> 2036        b_wt -0.468001697 1.633928e-03
#> 2037        b_wt -0.461657458 1.589506e-03
#> 2038        b_wt -0.455313218 1.545953e-03
#> 2039        b_wt -0.448968979 1.503255e-03
#> 2040        b_wt -0.442624739 1.461397e-03
#> 2041        b_wt -0.436280500 1.420409e-03
#> 2042        b_wt -0.429936261 1.380363e-03
#> 2043        b_wt -0.423592021 1.341088e-03
#> 2044        b_wt -0.417247782 1.302564e-03
#> 2045        b_wt -0.410903542 1.264770e-03
#> 2046        b_wt -0.404559303 1.227682e-03
#> 2047        b_wt -0.398215063 1.191295e-03
#> 2048        b_wt -0.391870824 1.155709e-03
#> 2049       b_cyl -3.179600735 1.304656e-03
#> 2050       b_cyl -3.176131314 1.318176e-03
#> 2051       b_cyl -3.172661893 1.331080e-03
#> 2052       b_cyl -3.169192471 1.343437e-03
#> 2053       b_cyl -3.165723050 1.355329e-03
#> 2054       b_cyl -3.162253628 1.366970e-03
#> 2055       b_cyl -3.158784207 1.378484e-03
#> 2056       b_cyl -3.155314786 1.390002e-03
#> 2057       b_cyl -3.151845364 1.401662e-03
#> 2058       b_cyl -3.148375943 1.413610e-03
#> 2059       b_cyl -3.144906521 1.426162e-03
#> 2060       b_cyl -3.141437100 1.439416e-03
#> 2061       b_cyl -3.137967679 1.453537e-03
#> 2062       b_cyl -3.134498257 1.468696e-03
#> 2063       b_cyl -3.131028836 1.485066e-03
#> 2064       b_cyl -3.127559414 1.502821e-03
#> 2065       b_cyl -3.124089993 1.522485e-03
#> 2066       b_cyl -3.120620572 1.544073e-03
#> 2067       b_cyl -3.117151150 1.567678e-03
#> 2068       b_cyl -3.113681729 1.593470e-03
#> 2069       b_cyl -3.110212307 1.621616e-03
#> 2070       b_cyl -3.106742886 1.652276e-03
#> 2071       b_cyl -3.103273465 1.686012e-03
#> 2072       b_cyl -3.099804043 1.722916e-03
#> 2073       b_cyl -3.096334622 1.762857e-03
#> 2074       b_cyl -3.092865200 1.805959e-03
#> 2075       b_cyl -3.089395779 1.852336e-03
#> 2076       b_cyl -3.085926358 1.902090e-03
#> 2077       b_cyl -3.082456936 1.955646e-03
#> 2078       b_cyl -3.078987515 2.013301e-03
#> 2079       b_cyl -3.075518093 2.074601e-03
#> 2080       b_cyl -3.072048672 2.139587e-03
#> 2081       b_cyl -3.068579251 2.208289e-03
#> 2082       b_cyl -3.065109829 2.280719e-03
#> 2083       b_cyl -3.061640408 2.357044e-03
#> 2084       b_cyl -3.058170986 2.437793e-03
#> 2085       b_cyl -3.054701565 2.522199e-03
#> 2086       b_cyl -3.051232144 2.610208e-03
#> 2087       b_cyl -3.047762722 2.701751e-03
#> 2088       b_cyl -3.044293301 2.796747e-03
#> 2089       b_cyl -3.040823879 2.895104e-03
#> 2090       b_cyl -3.037354458 2.997429e-03
#> 2091       b_cyl -3.033885037 3.102823e-03
#> 2092       b_cyl -3.030415615 3.211133e-03
#> 2093       b_cyl -3.026946194 3.322211e-03
#> 2094       b_cyl -3.023476772 3.435903e-03
#> 2095       b_cyl -3.020007351 3.552046e-03
#> 2096       b_cyl -3.016537930 3.670843e-03
#> 2097       b_cyl -3.013068508 3.791753e-03
#> 2098       b_cyl -3.009599087 3.914475e-03
#> 2099       b_cyl -3.006129665 4.038824e-03
#> 2100       b_cyl -3.002660244 4.164613e-03
#> 2101       b_cyl -2.999190823 4.291658e-03
#> 2102       b_cyl -2.995721401 4.419879e-03
#> 2103       b_cyl -2.992251980 4.548977e-03
#> 2104       b_cyl -2.988782558 4.678670e-03
#> 2105       b_cyl -2.985313137 4.808784e-03
#> 2106       b_cyl -2.981843716 4.939153e-03
#> 2107       b_cyl -2.978374294 5.069615e-03
#> 2108       b_cyl -2.974904873 5.199991e-03
#> 2109       b_cyl -2.971435451 5.330061e-03
#> 2110       b_cyl -2.967966030 5.459707e-03
#> 2111       b_cyl -2.964496609 5.588809e-03
#> 2112       b_cyl -2.961027187 5.717254e-03
#> 2113       b_cyl -2.957557766 5.844942e-03
#> 2114       b_cyl -2.954088344 5.971740e-03
#> 2115       b_cyl -2.950618923 6.097389e-03
#> 2116       b_cyl -2.947149502 6.221996e-03
#> 2117       b_cyl -2.943680080 6.345508e-03
#> 2118       b_cyl -2.940210659 6.467880e-03
#> 2119       b_cyl -2.936741238 6.589077e-03
#> 2120       b_cyl -2.933271816 6.709070e-03
#> 2121       b_cyl -2.929802395 6.827554e-03
#> 2122       b_cyl -2.926332973 6.944791e-03
#> 2123       b_cyl -2.922863552 7.060791e-03
#> 2124       b_cyl -2.919394131 7.175562e-03
#> 2125       b_cyl -2.915924709 7.289113e-03
#> 2126       b_cyl -2.912455288 7.401460e-03
#> 2127       b_cyl -2.908985866 7.512415e-03
#> 2128       b_cyl -2.905516445 7.622156e-03
#> 2129       b_cyl -2.902047024 7.730777e-03
#> 2130       b_cyl -2.898577602 7.838306e-03
#> 2131       b_cyl -2.895108181 7.944772e-03
#> 2132       b_cyl -2.891638759 8.050204e-03
#> 2133       b_cyl -2.888169338 8.154508e-03
#> 2134       b_cyl -2.884699917 8.257751e-03
#> 2135       b_cyl -2.881230495 8.360070e-03
#> 2136       b_cyl -2.877761074 8.461495e-03
#> 2137       b_cyl -2.874291652 8.562056e-03
#> 2138       b_cyl -2.870822231 8.661783e-03
#> 2139       b_cyl -2.867352810 8.760644e-03
#> 2140       b_cyl -2.863883388 8.858630e-03
#> 2141       b_cyl -2.860413967 8.955900e-03
#> 2142       b_cyl -2.856944545 9.052492e-03
#> 2143       b_cyl -2.853475124 9.148447e-03
#> 2144       b_cyl -2.850005703 9.243809e-03
#> 2145       b_cyl -2.846536281 9.338611e-03
#> 2146       b_cyl -2.843066860 9.432851e-03
#> 2147       b_cyl -2.839597438 9.526710e-03
#> 2148       b_cyl -2.836128017 9.620264e-03
#> 2149       b_cyl -2.832658596 9.713599e-03
#> 2150       b_cyl -2.829189174 9.806810e-03
#> 2151       b_cyl -2.825719753 9.900002e-03
#> 2152       b_cyl -2.822250331 9.993364e-03
#> 2153       b_cyl -2.818780910 1.008705e-02
#> 2154       b_cyl -2.815311489 1.018121e-02
#> 2155       b_cyl -2.811842067 1.027602e-02
#> 2156       b_cyl -2.808372646 1.037166e-02
#> 2157       b_cyl -2.804903224 1.046833e-02
#> 2158       b_cyl -2.801433803 1.056653e-02
#> 2159       b_cyl -2.797964382 1.066643e-02
#> 2160       b_cyl -2.794494960 1.076821e-02
#> 2161       b_cyl -2.791025539 1.087215e-02
#> 2162       b_cyl -2.787556117 1.097853e-02
#> 2163       b_cyl -2.784086696 1.108766e-02
#> 2164       b_cyl -2.780617275 1.120030e-02
#> 2165       b_cyl -2.777147853 1.131687e-02
#> 2166       b_cyl -2.773678432 1.143738e-02
#> 2167       b_cyl -2.770209010 1.156220e-02
#> 2168       b_cyl -2.766739589 1.169170e-02
#> 2169       b_cyl -2.763270168 1.182623e-02
#> 2170       b_cyl -2.759800746 1.196667e-02
#> 2171       b_cyl -2.756331325 1.211404e-02
#> 2172       b_cyl -2.752861903 1.226786e-02
#> 2173       b_cyl -2.749392482 1.242853e-02
#> 2174       b_cyl -2.745923061 1.259645e-02
#> 2175       b_cyl -2.742453639 1.277202e-02
#> 2176       b_cyl -2.738984218 1.295589e-02
#> 2177       b_cyl -2.735514796 1.315010e-02
#> 2178       b_cyl -2.732045375 1.335336e-02
#> 2179       b_cyl -2.728575954 1.356604e-02
#> 2180       b_cyl -2.725106532 1.378851e-02
#> 2181       b_cyl -2.721637111 1.402112e-02
#> 2182       b_cyl -2.718167689 1.426422e-02
#> 2183       b_cyl -2.714698268 1.452064e-02
#> 2184       b_cyl -2.711228847 1.478858e-02
#> 2185       b_cyl -2.707759425 1.506815e-02
#> 2186       b_cyl -2.704290004 1.535963e-02
#> 2187       b_cyl -2.700820582 1.566327e-02
#> 2188       b_cyl -2.697351161 1.597935e-02
#> 2189       b_cyl -2.693881740 1.631030e-02
#> 2190       b_cyl -2.690412318 1.665510e-02
#> 2191       b_cyl -2.686942897 1.701308e-02
#> 2192       b_cyl -2.683473475 1.738439e-02
#> 2193       b_cyl -2.680004054 1.776920e-02
#> 2194       b_cyl -2.676534633 1.816763e-02
#> 2195       b_cyl -2.673065211 1.858151e-02
#> 2196       b_cyl -2.669595790 1.901084e-02
#> 2197       b_cyl -2.666126368 1.945410e-02
#> 2198       b_cyl -2.662656947 1.991134e-02
#> 2199       b_cyl -2.659187526 2.038257e-02
#> 2200       b_cyl -2.655718104 2.086780e-02
#> 2201       b_cyl -2.652248683 2.136807e-02
#> 2202       b_cyl -2.648779261 2.188455e-02
#> 2203       b_cyl -2.645309840 2.241491e-02
#> 2204       b_cyl -2.641840419 2.295905e-02
#> 2205       b_cyl -2.638370997 2.351690e-02
#> 2206       b_cyl -2.634901576 2.408835e-02
#> 2207       b_cyl -2.631432154 2.467362e-02
#> 2208       b_cyl -2.627962733 2.527499e-02
#> 2209       b_cyl -2.624493312 2.588945e-02
#> 2210       b_cyl -2.621023890 2.651683e-02
#> 2211       b_cyl -2.617554469 2.715696e-02
#> 2212       b_cyl -2.614085047 2.780964e-02
#> 2213       b_cyl -2.610615626 2.847469e-02
#> 2214       b_cyl -2.607146205 2.915445e-02
#> 2215       b_cyl -2.603676783 2.984631e-02
#> 2216       b_cyl -2.600207362 3.054978e-02
#> 2217       b_cyl -2.596737940 3.126465e-02
#> 2218       b_cyl -2.593268519 3.199071e-02
#> 2219       b_cyl -2.589799098 3.272775e-02
#> 2220       b_cyl -2.586329676 3.347733e-02
#> 2221       b_cyl -2.582860255 3.423813e-02
#> 2222       b_cyl -2.579390833 3.500921e-02
#> 2223       b_cyl -2.575921412 3.579041e-02
#> 2224       b_cyl -2.572451991 3.658157e-02
#> 2225       b_cyl -2.568982569 3.738254e-02
#> 2226       b_cyl -2.565513148 3.819433e-02
#> 2227       b_cyl -2.562043726 3.901681e-02
#> 2228       b_cyl -2.558574305 3.984874e-02
#> 2229       b_cyl -2.555104884 4.069010e-02
#> 2230       b_cyl -2.551635462 4.154085e-02
#> 2231       b_cyl -2.548166041 4.240100e-02
#> 2232       b_cyl -2.544696619 4.327125e-02
#> 2233       b_cyl -2.541227198 4.415262e-02
#> 2234       b_cyl -2.537757777 4.504364e-02
#> 2235       b_cyl -2.534288355 4.594445e-02
#> 2236       b_cyl -2.530818934 4.685522e-02
#> 2237       b_cyl -2.527349512 4.777615e-02
#> 2238       b_cyl -2.523880091 4.870771e-02
#> 2239       b_cyl -2.520410670 4.965231e-02
#> 2240       b_cyl -2.516941248 5.060805e-02
#> 2241       b_cyl -2.513471827 5.157525e-02
#> 2242       b_cyl -2.510002405 5.255428e-02
#> 2243       b_cyl -2.506532984 5.354553e-02
#> 2244       b_cyl -2.503063563 5.454939e-02
#> 2245       b_cyl -2.499594141 5.556921e-02
#> 2246       b_cyl -2.496124720 5.660318e-02
#> 2247       b_cyl -2.492655298 5.765144e-02
#> 2248       b_cyl -2.489185877 5.871447e-02
#> 2249       b_cyl -2.485716456 5.979279e-02
#> 2250       b_cyl -2.482247034 6.088691e-02
#> 2251       b_cyl -2.478777613 6.200016e-02
#> 2252       b_cyl -2.475308191 6.313184e-02
#> 2253       b_cyl -2.471838770 6.428125e-02
#> 2254       b_cyl -2.468369349 6.544893e-02
#> 2255       b_cyl -2.464899927 6.663541e-02
#> 2256       b_cyl -2.461430506 6.784121e-02
#> 2257       b_cyl -2.457961084 6.906922e-02
#> 2258       b_cyl -2.454491663 7.032035e-02
#> 2259       b_cyl -2.451022242 7.159263e-02
#> 2260       b_cyl -2.447552820 7.288654e-02
#> 2261       b_cyl -2.444083399 7.420254e-02
#> 2262       b_cyl -2.440613977 7.554108e-02
#> 2263       b_cyl -2.437144556 7.690415e-02
#> 2264       b_cyl -2.433675135 7.829479e-02
#> 2265       b_cyl -2.430205713 7.970944e-02
#> 2266       b_cyl -2.426736292 8.114846e-02
#> 2267       b_cyl -2.423266870 8.261219e-02
#> 2268       b_cyl -2.419797449 8.410096e-02
#> 2269       b_cyl -2.416328028 8.561555e-02
#> 2270       b_cyl -2.412858606 8.716156e-02
#> 2271       b_cyl -2.409389185 8.873366e-02
#> 2272       b_cyl -2.405919763 9.033213e-02
#> 2273       b_cyl -2.402450342 9.195720e-02
#> 2274       b_cyl -2.398980921 9.360912e-02
#> 2275       b_cyl -2.395511499 9.528812e-02
#> 2276       b_cyl -2.392042078 9.700013e-02
#> 2277       b_cyl -2.388572656 9.874063e-02
#> 2278       b_cyl -2.385103235 1.005090e-01
#> 2279       b_cyl -2.381633814 1.023054e-01
#> 2280       b_cyl -2.378164392 1.041301e-01
#> 2281       b_cyl -2.374694971 1.059833e-01
#> 2282       b_cyl -2.371225549 1.078699e-01
#> 2283       b_cyl -2.367756128 1.097877e-01
#> 2284       b_cyl -2.364286707 1.117349e-01
#> 2285       b_cyl -2.360817285 1.137117e-01
#> 2286       b_cyl -2.357347864 1.157182e-01
#> 2287       b_cyl -2.353878442 1.177548e-01
#> 2288       b_cyl -2.350409021 1.198251e-01
#> 2289       b_cyl -2.346939600 1.219301e-01
#> 2290       b_cyl -2.343470178 1.240661e-01
#> 2291       b_cyl -2.340000757 1.262335e-01
#> 2292       b_cyl -2.336531335 1.284326e-01
#> 2293       b_cyl -2.333061914 1.306636e-01
#> 2294       b_cyl -2.329592493 1.329290e-01
#> 2295       b_cyl -2.326123071 1.352329e-01
#> 2296       b_cyl -2.322653650 1.375700e-01
#> 2297       b_cyl -2.319184228 1.399406e-01
#> 2298       b_cyl -2.315714807 1.423450e-01
#> 2299       b_cyl -2.312245386 1.447836e-01
#> 2300       b_cyl -2.308775964 1.472572e-01
#> 2301       b_cyl -2.305306543 1.497735e-01
#> 2302       b_cyl -2.301837121 1.523252e-01
#> 2303       b_cyl -2.298367700 1.549126e-01
#> 2304       b_cyl -2.294898279 1.575360e-01
#> 2305       b_cyl -2.291428857 1.601956e-01
#> 2306       b_cyl -2.287959436 1.628917e-01
#> 2307       b_cyl -2.284490014 1.656322e-01
#> 2308       b_cyl -2.281020593 1.684112e-01
#> 2309       b_cyl -2.277551172 1.712276e-01
#> 2310       b_cyl -2.274081750 1.740817e-01
#> 2311       b_cyl -2.270612329 1.769737e-01
#> 2312       b_cyl -2.267142907 1.799038e-01
#> 2313       b_cyl -2.263673486 1.828781e-01
#> 2314       b_cyl -2.260204065 1.858941e-01
#> 2315       b_cyl -2.256734643 1.889488e-01
#> 2316       b_cyl -2.253265222 1.920422e-01
#> 2317       b_cyl -2.249795800 1.951747e-01
#> 2318       b_cyl -2.246326379 1.983461e-01
#> 2319       b_cyl -2.242856958 2.015609e-01
#> 2320       b_cyl -2.239387536 2.048203e-01
#> 2321       b_cyl -2.235918115 2.081191e-01
#> 2322       b_cyl -2.232448693 2.114574e-01
#> 2323       b_cyl -2.228979272 2.148354e-01
#> 2324       b_cyl -2.225509851 2.182531e-01
#> 2325       b_cyl -2.222040429 2.217130e-01
#> 2326       b_cyl -2.218571008 2.252201e-01
#> 2327       b_cyl -2.215101586 2.287673e-01
#> 2328       b_cyl -2.211632165 2.323548e-01
#> 2329       b_cyl -2.208162744 2.359826e-01
#> 2330       b_cyl -2.204693322 2.396508e-01
#> 2331       b_cyl -2.201223901 2.433600e-01
#> 2332       b_cyl -2.197754479 2.471193e-01
#> 2333       b_cyl -2.194285058 2.509195e-01
#> 2334       b_cyl -2.190815637 2.547607e-01
#> 2335       b_cyl -2.187346215 2.586430e-01
#> 2336       b_cyl -2.183876794 2.625666e-01
#> 2337       b_cyl -2.180407372 2.665315e-01
#> 2338       b_cyl -2.176937951 2.705460e-01
#> 2339       b_cyl -2.173468530 2.746037e-01
#> 2340       b_cyl -2.169999108 2.787029e-01
#> 2341       b_cyl -2.166529687 2.828436e-01
#> 2342       b_cyl -2.163060265 2.870258e-01
#> 2343       b_cyl -2.159590844 2.912494e-01
#> 2344       b_cyl -2.156121423 2.955205e-01
#> 2345       b_cyl -2.152652001 2.998362e-01
#> 2346       b_cyl -2.149182580 3.041927e-01
#> 2347       b_cyl -2.145713158 3.085897e-01
#> 2348       b_cyl -2.142243737 3.130267e-01
#> 2349       b_cyl -2.138774316 3.175033e-01
#> 2350       b_cyl -2.135304894 3.220229e-01
#> 2351       b_cyl -2.131835473 3.265860e-01
#> 2352       b_cyl -2.128366051 3.311863e-01
#> 2353       b_cyl -2.124896630 3.358232e-01
#> 2354       b_cyl -2.121427209 3.404956e-01
#> 2355       b_cyl -2.117957787 3.452026e-01
#> 2356       b_cyl -2.114488366 3.499447e-01
#> 2357       b_cyl -2.111018944 3.547244e-01
#> 2358       b_cyl -2.107549523 3.595342e-01
#> 2359       b_cyl -2.104080102 3.643725e-01
#> 2360       b_cyl -2.100610680 3.692379e-01
#> 2361       b_cyl -2.097141259 3.741285e-01
#> 2362       b_cyl -2.093671837 3.790428e-01
#> 2363       b_cyl -2.090202416 3.839831e-01
#> 2364       b_cyl -2.086732995 3.889419e-01
#> 2365       b_cyl -2.083263573 3.939172e-01
#> 2366       b_cyl -2.079794152 3.989067e-01
#> 2367       b_cyl -2.076324730 4.039082e-01
#> 2368       b_cyl -2.072855309 4.089195e-01
#> 2369       b_cyl -2.069385888 4.139390e-01
#> 2370       b_cyl -2.065916466 4.189622e-01
#> 2371       b_cyl -2.062447045 4.239866e-01
#> 2372       b_cyl -2.058977623 4.290095e-01
#> 2373       b_cyl -2.055508202 4.340285e-01
#> 2374       b_cyl -2.052038781 4.390411e-01
#> 2375       b_cyl -2.048569359 4.440429e-01
#> 2376       b_cyl -2.045099938 4.490308e-01
#> 2377       b_cyl -2.041630516 4.540033e-01
#> 2378       b_cyl -2.038161095 4.589579e-01
#> 2379       b_cyl -2.034691674 4.638923e-01
#> 2380       b_cyl -2.031222252 4.688040e-01
#> 2381       b_cyl -2.027752831 4.736880e-01
#> 2382       b_cyl -2.024283409 4.785400e-01
#> 2383       b_cyl -2.020813988 4.833614e-01
#> 2384       b_cyl -2.017344567 4.881502e-01
#> 2385       b_cyl -2.013875145 4.929044e-01
#> 2386       b_cyl -2.010405724 4.976222e-01
#> 2387       b_cyl -2.006936302 5.023000e-01
#> 2388       b_cyl -2.003466881 5.069297e-01
#> 2389       b_cyl -1.999997460 5.115173e-01
#> 2390       b_cyl -1.996528038 5.160613e-01
#> 2391       b_cyl -1.993058617 5.205606e-01
#> 2392       b_cyl -1.989589195 5.250140e-01
#> 2393       b_cyl -1.986119774 5.294206e-01
#> 2394       b_cyl -1.982650353 5.337679e-01
#> 2395       b_cyl -1.979180931 5.380662e-01
#> 2396       b_cyl -1.975711510 5.423151e-01
#> 2397       b_cyl -1.972242088 5.465142e-01
#> 2398       b_cyl -1.968772667 5.506632e-01
#> 2399       b_cyl -1.965303246 5.547618e-01
#> 2400       b_cyl -1.961833824 5.588005e-01
#> 2401       b_cyl -1.958364403 5.627864e-01
#> 2402       b_cyl -1.954894981 5.667222e-01
#> 2403       b_cyl -1.951425560 5.706083e-01
#> 2404       b_cyl -1.947956139 5.744451e-01
#> 2405       b_cyl -1.944486717 5.782332e-01
#> 2406       b_cyl -1.941017296 5.819666e-01
#> 2407       b_cyl -1.937547874 5.856486e-01
#> 2408       b_cyl -1.934078453 5.892846e-01
#> 2409       b_cyl -1.930609032 5.928759e-01
#> 2410       b_cyl -1.927139610 5.964234e-01
#> 2411       b_cyl -1.923670189 5.999283e-01
#> 2412       b_cyl -1.920200767 6.033885e-01
#> 2413       b_cyl -1.916731346 6.068036e-01
#> 2414       b_cyl -1.913261925 6.101814e-01
#> 2415       b_cyl -1.909792503 6.135234e-01
#> 2416       b_cyl -1.906323082 6.168313e-01
#> 2417       b_cyl -1.902853660 6.201069e-01
#> 2418       b_cyl -1.899384239 6.233508e-01
#> 2419       b_cyl -1.895914818 6.265614e-01
#> 2420       b_cyl -1.892445396 6.297466e-01
#> 2421       b_cyl -1.888975975 6.329086e-01
#> 2422       b_cyl -1.885506553 6.360496e-01
#> 2423       b_cyl -1.882037132 6.391716e-01
#> 2424       b_cyl -1.878567711 6.422769e-01
#> 2425       b_cyl -1.875098289 6.453654e-01
#> 2426       b_cyl -1.871628868 6.484432e-01
#> 2427       b_cyl -1.868159446 6.515127e-01
#> 2428       b_cyl -1.864690025 6.545763e-01
#> 2429       b_cyl -1.861220604 6.576364e-01
#> 2430       b_cyl -1.857751182 6.606953e-01
#> 2431       b_cyl -1.854281761 6.637564e-01
#> 2432       b_cyl -1.850812339 6.668226e-01
#> 2433       b_cyl -1.847342918 6.698961e-01
#> 2434       b_cyl -1.843873497 6.729791e-01
#> 2435       b_cyl -1.840404075 6.760739e-01
#> 2436       b_cyl -1.836934654 6.791827e-01
#> 2437       b_cyl -1.833465232 6.823099e-01
#> 2438       b_cyl -1.829995811 6.854580e-01
#> 2439       b_cyl -1.826526390 6.886270e-01
#> 2440       b_cyl -1.823056968 6.918185e-01
#> 2441       b_cyl -1.819587547 6.950343e-01
#> 2442       b_cyl -1.816118125 6.982757e-01
#> 2443       b_cyl -1.812648704 7.015466e-01
#> 2444       b_cyl -1.809179283 7.048504e-01
#> 2445       b_cyl -1.805709861 7.081838e-01
#> 2446       b_cyl -1.802240440 7.115476e-01
#> 2447       b_cyl -1.798771018 7.149423e-01
#> 2448       b_cyl -1.795301597 7.183684e-01
#> 2449       b_cyl -1.791832176 7.218273e-01
#> 2450       b_cyl -1.788362754 7.253240e-01
#> 2451       b_cyl -1.784893333 7.288520e-01
#> 2452       b_cyl -1.781423911 7.324107e-01
#> 2453       b_cyl -1.777954490 7.359995e-01
#> 2454       b_cyl -1.774485069 7.396176e-01
#> 2455       b_cyl -1.771015647 7.432639e-01
#> 2456       b_cyl -1.767546226 7.469431e-01
#> 2457       b_cyl -1.764076804 7.506474e-01
#> 2458       b_cyl -1.760607383 7.543748e-01
#> 2459       b_cyl -1.757137962 7.581236e-01
#> 2460       b_cyl -1.753668540 7.618919e-01
#> 2461       b_cyl -1.750199119 7.656776e-01
#> 2462       b_cyl -1.746729697 7.694806e-01
#> 2463       b_cyl -1.743260276 7.732959e-01
#> 2464       b_cyl -1.739790855 7.771202e-01
#> 2465       b_cyl -1.736321433 7.809508e-01
#> 2466       b_cyl -1.732852012 7.847852e-01
#> 2467       b_cyl -1.729382590 7.886207e-01
#> 2468       b_cyl -1.725913169 7.924537e-01
#> 2469       b_cyl -1.722443748 7.962804e-01
#> 2470       b_cyl -1.718974326 8.000980e-01
#> 2471       b_cyl -1.715504905 8.039039e-01
#> 2472       b_cyl -1.712035483 8.076952e-01
#> 2473       b_cyl -1.708566062 8.114691e-01
#> 2474       b_cyl -1.705096641 8.152209e-01
#> 2475       b_cyl -1.701627219 8.189451e-01
#> 2476       b_cyl -1.698157798 8.226423e-01
#> 2477       b_cyl -1.694688376 8.263099e-01
#> 2478       b_cyl -1.691218955 8.299456e-01
#> 2479       b_cyl -1.687749534 8.335469e-01
#> 2480       b_cyl -1.684280112 8.371103e-01
#> 2481       b_cyl -1.680810691 8.406261e-01
#> 2482       b_cyl -1.677341269 8.441000e-01
#> 2483       b_cyl -1.673871848 8.475301e-01
#> 2484       b_cyl -1.670402427 8.509146e-01
#> 2485       b_cyl -1.666933005 8.542519e-01
#> 2486       b_cyl -1.663463584 8.575406e-01
#> 2487       b_cyl -1.659994162 8.607675e-01
#> 2488       b_cyl -1.656524741 8.639418e-01
#> 2489       b_cyl -1.653055320 8.670630e-01
#> 2490       b_cyl -1.649585898 8.701302e-01
#> 2491       b_cyl -1.646116477 8.731425e-01
#> 2492       b_cyl -1.642647055 8.760992e-01
#> 2493       b_cyl -1.639177634 8.789895e-01
#> 2494       b_cyl -1.635708213 8.818191e-01
#> 2495       b_cyl -1.632238791 8.845911e-01
#> 2496       b_cyl -1.628769370 8.873051e-01
#> 2497       b_cyl -1.625299948 8.899606e-01
#> 2498       b_cyl -1.621830527 8.925575e-01
#> 2499       b_cyl -1.618361106 8.950879e-01
#> 2500       b_cyl -1.614891684 8.975523e-01
#> 2501       b_cyl -1.611422263 8.999572e-01
#> 2502       b_cyl -1.607952841 9.023022e-01
#> 2503       b_cyl -1.604483420 9.045870e-01
#> 2504       b_cyl -1.601013999 9.068114e-01
#> 2505       b_cyl -1.597544577 9.089701e-01
#> 2506       b_cyl -1.594075156 9.110578e-01
#> 2507       b_cyl -1.590605734 9.130836e-01
#> 2508       b_cyl -1.587136313 9.150469e-01
#> 2509       b_cyl -1.583666892 9.169471e-01
#> 2510       b_cyl -1.580197470 9.187835e-01
#> 2511       b_cyl -1.576728049 9.205534e-01
#> 2512       b_cyl -1.573258627 9.222438e-01
#> 2513       b_cyl -1.569789206 9.238672e-01
#> 2514       b_cyl -1.566319785 9.254224e-01
#> 2515       b_cyl -1.562850363 9.269082e-01
#> 2516       b_cyl -1.559380942 9.283234e-01
#> 2517       b_cyl -1.555911520 9.296665e-01
#> 2518       b_cyl -1.552442099 9.309194e-01
#> 2519       b_cyl -1.548972678 9.320950e-01
#> 2520       b_cyl -1.545503256 9.331929e-01
#> 2521       b_cyl -1.542033835 9.342114e-01
#> 2522       b_cyl -1.538564413 9.351489e-01
#> 2523       b_cyl -1.535094992 9.360034e-01
#> 2524       b_cyl -1.531625571 9.367583e-01
#> 2525       b_cyl -1.528156149 9.374199e-01
#> 2526       b_cyl -1.524686728 9.379922e-01
#> 2527       b_cyl -1.521217306 9.384733e-01
#> 2528       b_cyl -1.517747885 9.388615e-01
#> 2529       b_cyl -1.514278464 9.391551e-01
#> 2530       b_cyl -1.510809042 9.393404e-01
#> 2531       b_cyl -1.507339621 9.394160e-01
#> 2532       b_cyl -1.503870200 9.393916e-01
#> 2533       b_cyl -1.500400778 9.392661e-01
#> 2534       b_cyl -1.496931357 9.390382e-01
#> 2535       b_cyl -1.493461935 9.387071e-01
#> 2536       b_cyl -1.489992514 9.382639e-01
#> 2537       b_cyl -1.486523093 9.376988e-01
#> 2538       b_cyl -1.483053671 9.370282e-01
#> 2539       b_cyl -1.479584250 9.362522e-01
#> 2540       b_cyl -1.476114828 9.353707e-01
#> 2541       b_cyl -1.472645407 9.343840e-01
#> 2542       b_cyl -1.469175986 9.332898e-01
#> 2543       b_cyl -1.465706564 9.320699e-01
#> 2544       b_cyl -1.462237143 9.307475e-01
#> 2545       b_cyl -1.458767721 9.293238e-01
#> 2546       b_cyl -1.455298300 9.278003e-01
#> 2547       b_cyl -1.451828879 9.261787e-01
#> 2548       b_cyl -1.448359457 9.244608e-01
#> 2549       b_cyl -1.444890036 9.226290e-01
#> 2550       b_cyl -1.441420614 9.207046e-01
#> 2551       b_cyl -1.437951193 9.186922e-01
#> 2552       b_cyl -1.434481772 9.165944e-01
#> 2553       b_cyl -1.431012350 9.144142e-01
#> 2554       b_cyl -1.427542929 9.121544e-01
#> 2555       b_cyl -1.424073507 9.098061e-01
#> 2556       b_cyl -1.420604086 9.073811e-01
#> 2557       b_cyl -1.417134665 9.048881e-01
#> 2558       b_cyl -1.413665243 9.023305e-01
#> 2559       b_cyl -1.410195822 8.997117e-01
#> 2560       b_cyl -1.406726400 8.970350e-01
#> 2561       b_cyl -1.403256979 8.942982e-01
#> 2562       b_cyl -1.399787558 8.915062e-01
#> 2563       b_cyl -1.396318136 8.886689e-01
#> 2564       b_cyl -1.392848715 8.857894e-01
#> 2565       b_cyl -1.389379293 8.828713e-01
#> 2566       b_cyl -1.385909872 8.799176e-01
#> 2567       b_cyl -1.382440451 8.769294e-01
#> 2568       b_cyl -1.378971029 8.739084e-01
#> 2569       b_cyl -1.375501608 8.708625e-01
#> 2570       b_cyl -1.372032186 8.677945e-01
#> 2571       b_cyl -1.368562765 8.647068e-01
#> 2572       b_cyl -1.365093344 8.616020e-01
#> 2573       b_cyl -1.361623922 8.584818e-01
#> 2574       b_cyl -1.358154501 8.553468e-01
#> 2575       b_cyl -1.354685079 8.522018e-01
#> 2576       b_cyl -1.351215658 8.490484e-01
#> 2577       b_cyl -1.347746237 8.458880e-01
#> 2578       b_cyl -1.344276815 8.427219e-01
#> 2579       b_cyl -1.340807394 8.395512e-01
#> 2580       b_cyl -1.337337972 8.363762e-01
#> 2581       b_cyl -1.333868551 8.331984e-01
#> 2582       b_cyl -1.330399130 8.300184e-01
#> 2583       b_cyl -1.326929708 8.268364e-01
#> 2584       b_cyl -1.323460287 8.236525e-01
#> 2585       b_cyl -1.319990865 8.204668e-01
#> 2586       b_cyl -1.316521444 8.172786e-01
#> 2587       b_cyl -1.313052023 8.140876e-01
#> 2588       b_cyl -1.309582601 8.108935e-01
#> 2589       b_cyl -1.306113180 8.076955e-01
#> 2590       b_cyl -1.302643758 8.044930e-01
#> 2591       b_cyl -1.299174337 8.012851e-01
#> 2592       b_cyl -1.295704916 7.980699e-01
#> 2593       b_cyl -1.292235494 7.948460e-01
#> 2594       b_cyl -1.288766073 7.916129e-01
#> 2595       b_cyl -1.285296651 7.883694e-01
#> 2596       b_cyl -1.281827230 7.851145e-01
#> 2597       b_cyl -1.278357809 7.818467e-01
#> 2598       b_cyl -1.274888387 7.785637e-01
#> 2599       b_cyl -1.271418966 7.752621e-01
#> 2600       b_cyl -1.267949544 7.719429e-01
#> 2601       b_cyl -1.264480123 7.686048e-01
#> 2602       b_cyl -1.261010702 7.652466e-01
#> 2603       b_cyl -1.257541280 7.618670e-01
#> 2604       b_cyl -1.254071859 7.584641e-01
#> 2605       b_cyl -1.250602437 7.550316e-01
#> 2606       b_cyl -1.247133016 7.515733e-01
#> 2607       b_cyl -1.243663595 7.480880e-01
#> 2608       b_cyl -1.240194173 7.445747e-01
#> 2609       b_cyl -1.236724752 7.410325e-01
#> 2610       b_cyl -1.233255330 7.374603e-01
#> 2611       b_cyl -1.229785909 7.338508e-01
#> 2612       b_cyl -1.226316488 7.302083e-01
#> 2613       b_cyl -1.222847066 7.265333e-01
#> 2614       b_cyl -1.219377645 7.228250e-01
#> 2615       b_cyl -1.215908223 7.190831e-01
#> 2616       b_cyl -1.212438802 7.153072e-01
#> 2617       b_cyl -1.208969381 7.114914e-01
#> 2618       b_cyl -1.205499959 7.076382e-01
#> 2619       b_cyl -1.202030538 7.037504e-01
#> 2620       b_cyl -1.198561116 6.998278e-01
#> 2621       b_cyl -1.195091695 6.958708e-01
#> 2622       b_cyl -1.191622274 6.918794e-01
#> 2623       b_cyl -1.188152852 6.878504e-01
#> 2624       b_cyl -1.184683431 6.837836e-01
#> 2625       b_cyl -1.181214009 6.796842e-01
#> 2626       b_cyl -1.177744588 6.755527e-01
#> 2627       b_cyl -1.174275167 6.713898e-01
#> 2628       b_cyl -1.170805745 6.671963e-01
#> 2629       b_cyl -1.167336324 6.629715e-01
#> 2630       b_cyl -1.163866902 6.587134e-01
#> 2631       b_cyl -1.160397481 6.544283e-01
#> 2632       b_cyl -1.156928060 6.501175e-01
#> 2633       b_cyl -1.153458638 6.457821e-01
#> 2634       b_cyl -1.149989217 6.414236e-01
#> 2635       b_cyl -1.146519795 6.370429e-01
#> 2636       b_cyl -1.143050374 6.326378e-01
#> 2637       b_cyl -1.139580953 6.282146e-01
#> 2638       b_cyl -1.136111531 6.237750e-01
#> 2639       b_cyl -1.132642110 6.193206e-01
#> 2640       b_cyl -1.129172688 6.148530e-01
#> 2641       b_cyl -1.125703267 6.103738e-01
#> 2642       b_cyl -1.122233846 6.058834e-01
#> 2643       b_cyl -1.118764424 6.013856e-01
#> 2644       b_cyl -1.115295003 5.968827e-01
#> 2645       b_cyl -1.111825581 5.923762e-01
#> 2646       b_cyl -1.108356160 5.878682e-01
#> 2647       b_cyl -1.104886739 5.833603e-01
#> 2648       b_cyl -1.101417317 5.788550e-01
#> 2649       b_cyl -1.097947896 5.743549e-01
#> 2650       b_cyl -1.094478474 5.698614e-01
#> 2651       b_cyl -1.091009053 5.653763e-01
#> 2652       b_cyl -1.087539632 5.609015e-01
#> 2653       b_cyl -1.084070210 5.564385e-01
#> 2654       b_cyl -1.080600789 5.519909e-01
#> 2655       b_cyl -1.077131367 5.475614e-01
#> 2656       b_cyl -1.073661946 5.431498e-01
#> 2657       b_cyl -1.070192525 5.387577e-01
#> 2658       b_cyl -1.066723103 5.343866e-01
#> 2659       b_cyl -1.063253682 5.300379e-01
#> 2660       b_cyl -1.059784260 5.257145e-01
#> 2661       b_cyl -1.056314839 5.214214e-01
#> 2662       b_cyl -1.052845418 5.171556e-01
#> 2663       b_cyl -1.049375996 5.129181e-01
#> 2664       b_cyl -1.045906575 5.087101e-01
#> 2665       b_cyl -1.042437153 5.045325e-01
#> 2666       b_cyl -1.038967732 5.003866e-01
#> 2667       b_cyl -1.035498311 4.962806e-01
#> 2668       b_cyl -1.032028889 4.922080e-01
#> 2669       b_cyl -1.028559468 4.881693e-01
#> 2670       b_cyl -1.025090046 4.841652e-01
#> 2671       b_cyl -1.021620625 4.801958e-01
#> 2672       b_cyl -1.018151204 4.762617e-01
#> 2673       b_cyl -1.014681782 4.723701e-01
#> 2674       b_cyl -1.011212361 4.685154e-01
#> 2675       b_cyl -1.007742939 4.646962e-01
#> 2676       b_cyl -1.004273518 4.609124e-01
#> 2677       b_cyl -1.000804097 4.571636e-01
#> 2678       b_cyl -0.997334675 4.534496e-01
#> 2679       b_cyl -0.993865254 4.497750e-01
#> 2680       b_cyl -0.990395832 4.461368e-01
#> 2681       b_cyl -0.986926411 4.425315e-01
#> 2682       b_cyl -0.983456990 4.389581e-01
#> 2683       b_cyl -0.979987568 4.354159e-01
#> 2684       b_cyl -0.976518147 4.319040e-01
#> 2685       b_cyl -0.973048725 4.284241e-01
#> 2686       b_cyl -0.969579304 4.249759e-01
#> 2687       b_cyl -0.966109883 4.215540e-01
#> 2688       b_cyl -0.962640461 4.181574e-01
#> 2689       b_cyl -0.959171040 4.147847e-01
#> 2690       b_cyl -0.955701618 4.114347e-01
#> 2691       b_cyl -0.952232197 4.081071e-01
#> 2692       b_cyl -0.948762776 4.048025e-01
#> 2693       b_cyl -0.945293354 4.015157e-01
#> 2694       b_cyl -0.941823933 3.982451e-01
#> 2695       b_cyl -0.938354511 3.949895e-01
#> 2696       b_cyl -0.934885090 3.917473e-01
#> 2697       b_cyl -0.931415669 3.885171e-01
#> 2698       b_cyl -0.927946247 3.852995e-01
#> 2699       b_cyl -0.924476826 3.820902e-01
#> 2700       b_cyl -0.921007404 3.788878e-01
#> 2701       b_cyl -0.917537983 3.756910e-01
#> 2702       b_cyl -0.914068562 3.724984e-01
#> 2703       b_cyl -0.910599140 3.693087e-01
#> 2704       b_cyl -0.907129719 3.661207e-01
#> 2705       b_cyl -0.903660297 3.629324e-01
#> 2706       b_cyl -0.900190876 3.597427e-01
#> 2707       b_cyl -0.896721455 3.565504e-01
#> 2708       b_cyl -0.893252033 3.533544e-01
#> 2709       b_cyl -0.889782612 3.501538e-01
#> 2710       b_cyl -0.886313190 3.469466e-01
#> 2711       b_cyl -0.882843769 3.437317e-01
#> 2712       b_cyl -0.879374348 3.405090e-01
#> 2713       b_cyl -0.875904926 3.372776e-01
#> 2714       b_cyl -0.872435505 3.340370e-01
#> 2715       b_cyl -0.868966083 3.307863e-01
#> 2716       b_cyl -0.865496662 3.275240e-01
#> 2717       b_cyl -0.862027241 3.242489e-01
#> 2718       b_cyl -0.858557819 3.209619e-01
#> 2719       b_cyl -0.855088398 3.176629e-01
#> 2720       b_cyl -0.851618976 3.143515e-01
#> 2721       b_cyl -0.848149555 3.110275e-01
#> 2722       b_cyl -0.844680134 3.076901e-01
#> 2723       b_cyl -0.841210712 3.043375e-01
#> 2724       b_cyl -0.837741291 3.009721e-01
#> 2725       b_cyl -0.834271869 2.975940e-01
#> 2726       b_cyl -0.830802448 2.942034e-01
#> 2727       b_cyl -0.827333027 2.908006e-01
#> 2728       b_cyl -0.823863605 2.873860e-01
#> 2729       b_cyl -0.820394184 2.839574e-01
#> 2730       b_cyl -0.816924762 2.805182e-01
#> 2731       b_cyl -0.813455341 2.770691e-01
#> 2732       b_cyl -0.809985920 2.736107e-01
#> 2733       b_cyl -0.806516498 2.701440e-01
#> 2734       b_cyl -0.803047077 2.666697e-01
#> 2735       b_cyl -0.799577655 2.631880e-01
#> 2736       b_cyl -0.796108234 2.597012e-01
#> 2737       b_cyl -0.792638813 2.562109e-01
#> 2738       b_cyl -0.789169391 2.527183e-01
#> 2739       b_cyl -0.785699970 2.492248e-01
#> 2740       b_cyl -0.782230548 2.457318e-01
#> 2741       b_cyl -0.778761127 2.422416e-01
#> 2742       b_cyl -0.775291706 2.387563e-01
#> 2743       b_cyl -0.771822284 2.352774e-01
#> 2744       b_cyl -0.768352863 2.318068e-01
#> 2745       b_cyl -0.764883441 2.283462e-01
#> 2746       b_cyl -0.761414020 2.248976e-01
#> 2747       b_cyl -0.757944599 2.214644e-01
#> 2748       b_cyl -0.754475177 2.180504e-01
#> 2749       b_cyl -0.751005756 2.146555e-01
#> 2750       b_cyl -0.747536334 2.112818e-01
#> 2751       b_cyl -0.744066913 2.079314e-01
#> 2752       b_cyl -0.740597492 2.046063e-01
#> 2753       b_cyl -0.737128070 2.013099e-01
#> 2754       b_cyl -0.733658649 1.980494e-01
#> 2755       b_cyl -0.730189227 1.948216e-01
#> 2756       b_cyl -0.726719806 1.916283e-01
#> 2757       b_cyl -0.723250385 1.884715e-01
#> 2758       b_cyl -0.719780963 1.853529e-01
#> 2759       b_cyl -0.716311542 1.822743e-01
#> 2760       b_cyl -0.712842120 1.792477e-01
#> 2761       b_cyl -0.709372699 1.762654e-01
#> 2762       b_cyl -0.705903278 1.733287e-01
#> 2763       b_cyl -0.702433856 1.704388e-01
#> 2764       b_cyl -0.698964435 1.675969e-01
#> 2765       b_cyl -0.695495013 1.648040e-01
#> 2766       b_cyl -0.692025592 1.620705e-01
#> 2767       b_cyl -0.688556171 1.593908e-01
#> 2768       b_cyl -0.685086749 1.567627e-01
#> 2769       b_cyl -0.681617328 1.541866e-01
#> 2770       b_cyl -0.678147906 1.516627e-01
#> 2771       b_cyl -0.674678485 1.491911e-01
#> 2772       b_cyl -0.671209064 1.467789e-01
#> 2773       b_cyl -0.667739642 1.444238e-01
#> 2774       b_cyl -0.664270221 1.421201e-01
#> 2775       b_cyl -0.660800799 1.398672e-01
#> 2776       b_cyl -0.657331378 1.376643e-01
#> 2777       b_cyl -0.653861957 1.355107e-01
#> 2778       b_cyl -0.650392535 1.334094e-01
#> 2779       b_cyl -0.646923114 1.313619e-01
#> 2780       b_cyl -0.643453692 1.293595e-01
#> 2781       b_cyl -0.639984271 1.274009e-01
#> 2782       b_cyl -0.636514850 1.254848e-01
#> 2783       b_cyl -0.633045428 1.236095e-01
#> 2784       b_cyl -0.629576007 1.217751e-01
#> 2785       b_cyl -0.626106585 1.199853e-01
#> 2786       b_cyl -0.622637164 1.182304e-01
#> 2787       b_cyl -0.619167743 1.165090e-01
#> 2788       b_cyl -0.615698321 1.148192e-01
#> 2789       b_cyl -0.612228900 1.131594e-01
#> 2790       b_cyl -0.608759478 1.115279e-01
#> 2791       b_cyl -0.605290057 1.099285e-01
#> 2792       b_cyl -0.601820636 1.083534e-01
#> 2793       b_cyl -0.598351214 1.068006e-01
#> 2794       b_cyl -0.594881793 1.052689e-01
#> 2795       b_cyl -0.591412371 1.037566e-01
#> 2796       b_cyl -0.587942950 1.022625e-01
#> 2797       b_cyl -0.584473529 1.007879e-01
#> 2798       b_cyl -0.581004107 9.932917e-02
#> 2799       b_cyl -0.577534686 9.788434e-02
#> 2800       b_cyl -0.574065264 9.645245e-02
#> 2801       b_cyl -0.570595843 9.503263e-02
#> 2802       b_cyl -0.567126422 9.362412e-02
#> 2803       b_cyl -0.563657000 9.222755e-02
#> 2804       b_cyl -0.560187579 9.084187e-02
#> 2805       b_cyl -0.556718157 8.946561e-02
#> 2806       b_cyl -0.553248736 8.809849e-02
#> 2807       b_cyl -0.549779315 8.674033e-02
#> 2808       b_cyl -0.546309893 8.539103e-02
#> 2809       b_cyl -0.542840472 8.405131e-02
#> 2810       b_cyl -0.539371050 8.272197e-02
#> 2811       b_cyl -0.535901629 8.140188e-02
#> 2812       b_cyl -0.532432208 8.009133e-02
#> 2813       b_cyl -0.528962786 7.879069e-02
#> 2814       b_cyl -0.525493365 7.750036e-02
#> 2815       b_cyl -0.522023943 7.622122e-02
#> 2816       b_cyl -0.518554522 7.495590e-02
#> 2817       b_cyl -0.515085101 7.370281e-02
#> 2818       b_cyl -0.511615679 7.246254e-02
#> 2819       b_cyl -0.508146258 7.123574e-02
#> 2820       b_cyl -0.504676836 7.002304e-02
#> 2821       b_cyl -0.501207415 6.882508e-02
#> 2822       b_cyl -0.497737994 6.764620e-02
#> 2823       b_cyl -0.494268572 6.648395e-02
#> 2824       b_cyl -0.490799151 6.533872e-02
#> 2825       b_cyl -0.487329729 6.421110e-02
#> 2826       b_cyl -0.483860308 6.310164e-02
#> 2827       b_cyl -0.480390887 6.201087e-02
#> 2828       b_cyl -0.476921465 6.094277e-02
#> 2829       b_cyl -0.473452044 5.989570e-02
#> 2830       b_cyl -0.469982622 5.886883e-02
#> 2831       b_cyl -0.466513201 5.786244e-02
#> 2832       b_cyl -0.463043780 5.687677e-02
#> 2833       b_cyl -0.459574358 5.591201e-02
#> 2834       b_cyl -0.456104937 5.497099e-02
#> 2835       b_cyl -0.452635515 5.405337e-02
#> 2836       b_cyl -0.449166094 5.315678e-02
#> 2837       b_cyl -0.445696673 5.228111e-02
#> 2838       b_cyl -0.442227251 5.142617e-02
#> 2839       b_cyl -0.438757830 5.059174e-02
#> 2840       b_cyl -0.435288408 4.977908e-02
#> 2841       b_cyl -0.431818987 4.898924e-02
#> 2842       b_cyl -0.428349566 4.821856e-02
#> 2843       b_cyl -0.424880144 4.746653e-02
#> 2844       b_cyl -0.421410723 4.673259e-02
#> 2845       b_cyl -0.417941301 4.601618e-02
#> 2846       b_cyl -0.414471880 4.531714e-02
#> 2847       b_cyl -0.411002459 4.463739e-02
#> 2848       b_cyl -0.407533037 4.397269e-02
#> 2849       b_cyl -0.404063616 4.332231e-02
#> 2850       b_cyl -0.400594194 4.268546e-02
#> 2851       b_cyl -0.397124773 4.206138e-02
#> 2852       b_cyl -0.393655352 4.144926e-02
#> 2853       b_cyl -0.390185930 4.085048e-02
#> 2854       b_cyl -0.386716509 4.026175e-02
#> 2855       b_cyl -0.383247087 3.968209e-02
#> 2856       b_cyl -0.379777666 3.911070e-02
#> 2857       b_cyl -0.376308245 3.854681e-02
#> 2858       b_cyl -0.372838823 3.798967e-02
#> 2859       b_cyl -0.369369402 3.743939e-02
#> 2860       b_cyl -0.365899980 3.689439e-02
#> 2861       b_cyl -0.362430559 3.635362e-02
#> 2862       b_cyl -0.358961138 3.581646e-02
#> 2863       b_cyl -0.355491716 3.528235e-02
#> 2864       b_cyl -0.352022295 3.475074e-02
#> 2865       b_cyl -0.348552873 3.422128e-02
#> 2866       b_cyl -0.345083452 3.369331e-02
#> 2867       b_cyl -0.341614031 3.316626e-02
#> 2868       b_cyl -0.338144609 3.263980e-02
#> 2869       b_cyl -0.334675188 3.211365e-02
#> 2870       b_cyl -0.331205766 3.158756e-02
#> 2871       b_cyl -0.327736345 3.106134e-02
#> 2872       b_cyl -0.324266924 3.053478e-02
#> 2873       b_cyl -0.320797502 3.000786e-02
#> 2874       b_cyl -0.317328081 2.948056e-02
#> 2875       b_cyl -0.313858659 2.895293e-02
#> 2876       b_cyl -0.310389238 2.842503e-02
#> 2877       b_cyl -0.306919817 2.789698e-02
#> 2878       b_cyl -0.303450395 2.736900e-02
#> 2879       b_cyl -0.299980974 2.684134e-02
#> 2880       b_cyl -0.296511552 2.631425e-02
#> 2881       b_cyl -0.293042131 2.578800e-02
#> 2882       b_cyl -0.289572710 2.526288e-02
#> 2883       b_cyl -0.286103288 2.473920e-02
#> 2884       b_cyl -0.282633867 2.421780e-02
#> 2885       b_cyl -0.279164445 2.369880e-02
#> 2886       b_cyl -0.275695024 2.318253e-02
#> 2887       b_cyl -0.272225603 2.266936e-02
#> 2888       b_cyl -0.268756181 2.215969e-02
#> 2889       b_cyl -0.265286760 2.165389e-02
#> 2890       b_cyl -0.261817338 2.115316e-02
#> 2891       b_cyl -0.258347917 2.065760e-02
#> 2892       b_cyl -0.254878496 2.016728e-02
#> 2893       b_cyl -0.251409074 1.968256e-02
#> 2894       b_cyl -0.247939653 1.920378e-02
#> 2895       b_cyl -0.244470231 1.873127e-02
#> 2896       b_cyl -0.241000810 1.826618e-02
#> 2897       b_cyl -0.237531389 1.780894e-02
#> 2898       b_cyl -0.234061967 1.735903e-02
#> 2899       b_cyl -0.230592546 1.691669e-02
#> 2900       b_cyl -0.227123124 1.648215e-02
#> 2901       b_cyl -0.223653703 1.605560e-02
#> 2902       b_cyl -0.220184282 1.563782e-02
#> 2903       b_cyl -0.216714860 1.522985e-02
#> 2904       b_cyl -0.213245439 1.483043e-02
#> 2905       b_cyl -0.209776017 1.443966e-02
#> 2906       b_cyl -0.206306596 1.405762e-02
#> 2907       b_cyl -0.202837175 1.368437e-02
#> 2908       b_cyl -0.199367753 1.332015e-02
#> 2909       b_cyl -0.195898332 1.296671e-02
#> 2910       b_cyl -0.192428910 1.262213e-02
#> 2911       b_cyl -0.188959489 1.228638e-02
#> 2912       b_cyl -0.185490068 1.195943e-02
#> 2913       b_cyl -0.182020646 1.164122e-02
#> 2914       b_cyl -0.178551225 1.133171e-02
#> 2915       b_cyl -0.175081803 1.103261e-02
#> 2916       b_cyl -0.171612382 1.074221e-02
#> 2917       b_cyl -0.168142961 1.046020e-02
#> 2918       b_cyl -0.164673539 1.018646e-02
#> 2919       b_cyl -0.161204118 9.920889e-03
#> 2920       b_cyl -0.157734696 9.663379e-03
#> 2921       b_cyl -0.154265275 9.415076e-03
#> 2922       b_cyl -0.150795854 9.175114e-03
#> 2923       b_cyl -0.147326432 8.942778e-03
#> 2924       b_cyl -0.143857011 8.717946e-03
#> 2925       b_cyl -0.140387589 8.500496e-03
#> 2926       b_cyl -0.136918168 8.290305e-03
#> 2927       b_cyl -0.133448747 8.088051e-03
#> 2928       b_cyl -0.129979325 7.893618e-03
#> 2929       b_cyl -0.126509904 7.706013e-03
#> 2930       b_cyl -0.123040482 7.525118e-03
#> 2931       b_cyl -0.119571061 7.350820e-03
#> 2932       b_cyl -0.116101640 7.183006e-03
#> 2933       b_cyl -0.112632218 7.021976e-03
#> 2934       b_cyl -0.109162797 6.868233e-03
#> 2935       b_cyl -0.105693375 6.720576e-03
#> 2936       b_cyl -0.102223954 6.578900e-03
#> 2937       b_cyl -0.098754533 6.443096e-03
#> 2938       b_cyl -0.095285111 6.313057e-03
#> 2939       b_cyl -0.091815690 6.188775e-03
#> 2940       b_cyl -0.088346269 6.071222e-03
#> 2941       b_cyl -0.084876847 5.959043e-03
#> 2942       b_cyl -0.081407426 5.852127e-03
#> 2943       b_cyl -0.077938004 5.750360e-03
#> 2944       b_cyl -0.074468583 5.653628e-03
#> 2945       b_cyl -0.070999162 5.561813e-03
#> 2946       b_cyl -0.067529740 5.475748e-03
#> 2947       b_cyl -0.064060319 5.394423e-03
#> 2948       b_cyl -0.060590897 5.317562e-03
#> 2949       b_cyl -0.057121476 5.245031e-03
#> 2950       b_cyl -0.053652055 5.176695e-03
#> 2951       b_cyl -0.050182633 5.112413e-03
#> 2952       b_cyl -0.046713212 5.052626e-03
#> 2953       b_cyl -0.043243790 4.996814e-03
#> 2954       b_cyl -0.039774369 4.944513e-03
#> 2955       b_cyl -0.036304948 4.895566e-03
#> 2956       b_cyl -0.032835526 4.849811e-03
#> 2957       b_cyl -0.029366105 4.807082e-03
#> 2958       b_cyl -0.025896683 4.767501e-03
#> 2959       b_cyl -0.022427262 4.730861e-03
#> 2960       b_cyl -0.018957841 4.696627e-03
#> 2961       b_cyl -0.015488419 4.664619e-03
#> 2962       b_cyl -0.012018998 4.634660e-03
#> 2963       b_cyl -0.008549576 4.606570e-03
#> 2964       b_cyl -0.005080155 4.580257e-03
#> 2965       b_cyl -0.001610734 4.555633e-03
#> 2966       b_cyl  0.001858688 4.532223e-03
#> 2967       b_cyl  0.005328109 4.509848e-03
#> 2968       b_cyl  0.008797531 4.488329e-03
#> 2969       b_cyl  0.012266952 4.467491e-03
#> 2970       b_cyl  0.015736373 4.447163e-03
#> 2971       b_cyl  0.019205795 4.427180e-03
#> 2972       b_cyl  0.022675216 4.407265e-03
#> 2973       b_cyl  0.026144638 4.387259e-03
#> 2974       b_cyl  0.029614059 4.367010e-03
#> 2975       b_cyl  0.033083480 4.346366e-03
#> 2976       b_cyl  0.036552902 4.325187e-03
#> 2977       b_cyl  0.040022323 4.303157e-03
#> 2978       b_cyl  0.043491745 4.280226e-03
#> 2979       b_cyl  0.046961166 4.256303e-03
#> 2980       b_cyl  0.050430587 4.231284e-03
#> 2981       b_cyl  0.053900009 4.205070e-03
#> 2982       b_cyl  0.057369430 4.177572e-03
#> 2983       b_cyl  0.060838852 4.148484e-03
#> 2984       b_cyl  0.064308273 4.117810e-03
#> 2985       b_cyl  0.067777694 4.085618e-03
#> 2986       b_cyl  0.071247116 4.051867e-03
#> 2987       b_cyl  0.074716537 4.016530e-03
#> 2988       b_cyl  0.078185959 3.979587e-03
#> 2989       b_cyl  0.081655380 3.940860e-03
#> 2990       b_cyl  0.085124801 3.900319e-03
#> 2991       b_cyl  0.088594223 3.858203e-03
#> 2992       b_cyl  0.092063644 3.814548e-03
#> 2993       b_cyl  0.095533066 3.769401e-03
#> 2994       b_cyl  0.099002487 3.722816e-03
#> 2995       b_cyl  0.102471908 3.674788e-03
#> 2996       b_cyl  0.105941330 3.625271e-03
#> 2997       b_cyl  0.109410751 3.574607e-03
#> 2998       b_cyl  0.112880173 3.522900e-03
#> 2999       b_cyl  0.116349594 3.470259e-03
#> 3000       b_cyl  0.119819015 3.416802e-03
#> 3001       b_cyl  0.123288437 3.362649e-03
#> 3002       b_cyl  0.126757858 3.307861e-03
#> 3003       b_cyl  0.130227280 3.252736e-03
#> 3004       b_cyl  0.133696701 3.197419e-03
#> 3005       b_cyl  0.137166122 3.142057e-03
#> 3006       b_cyl  0.140635544 3.086799e-03
#> 3007       b_cyl  0.144104965 3.031794e-03
#> 3008       b_cyl  0.147574387 2.977321e-03
#> 3009       b_cyl  0.151043808 2.923513e-03
#> 3010       b_cyl  0.154513229 2.870500e-03
#> 3011       b_cyl  0.157982651 2.818426e-03
#> 3012       b_cyl  0.161452072 2.767429e-03
#> 3013       b_cyl  0.164921494 2.717646e-03
#> 3014       b_cyl  0.168390915 2.669437e-03
#> 3015       b_cyl  0.171860336 2.622888e-03
#> 3016       b_cyl  0.175329758 2.577988e-03
#> 3017       b_cyl  0.178799179 2.534838e-03
#> 3018       b_cyl  0.182268601 2.493531e-03
#> 3019       b_cyl  0.185738022 2.454150e-03
#> 3020       b_cyl  0.189207443 2.416982e-03
#> 3021       b_cyl  0.192676865 2.382185e-03
#> 3022       b_cyl  0.196146286 2.349528e-03
#> 3023       b_cyl  0.199615708 2.319042e-03
#> 3024       b_cyl  0.203085129 2.290747e-03
#> 3025       b_cyl  0.206554550 2.264655e-03
#> 3026       b_cyl  0.210023972 2.240881e-03
#> 3027       b_cyl  0.213493393 2.219691e-03
#> 3028       b_cyl  0.216962815 2.200643e-03
#> 3029       b_cyl  0.220432236 2.183695e-03
#> 3030       b_cyl  0.223901657 2.168792e-03
#> 3031       b_cyl  0.227371079 2.155872e-03
#> 3032       b_cyl  0.230840500 2.144872e-03
#> 3033       b_cyl  0.234309922 2.136095e-03
#> 3034       b_cyl  0.237779343 2.128996e-03
#> 3035       b_cyl  0.241248764 2.123472e-03
#> 3036       b_cyl  0.244718186 2.119413e-03
#> 3037       b_cyl  0.248187607 2.116703e-03
#> 3038       b_cyl  0.251657029 2.115222e-03
#> 3039       b_cyl  0.255126450 2.115017e-03
#> 3040       b_cyl  0.258595871 2.115749e-03
#> 3041       b_cyl  0.262065293 2.117236e-03
#> 3042       b_cyl  0.265534714 2.119341e-03
#> 3043       b_cyl  0.269004136 2.121926e-03
#> 3044       b_cyl  0.272473557 2.124853e-03
#> 3045       b_cyl  0.275942978 2.127985e-03
#> 3046       b_cyl  0.279412400 2.131115e-03
#> 3047       b_cyl  0.282881821 2.134096e-03
#> 3048       b_cyl  0.286351243 2.136794e-03
#> 3049       b_cyl  0.289820664 2.139085e-03
#> 3050       b_cyl  0.293290085 2.140842e-03
#> 3051       b_cyl  0.296759507 2.141868e-03
#> 3052       b_cyl  0.300228928 2.141963e-03
#> 3053       b_cyl  0.303698350 2.141118e-03
#> 3054       b_cyl  0.307167771 2.139235e-03
#> 3055       b_cyl  0.310637192 2.136221e-03
#> 3056       b_cyl  0.314106614 2.131989e-03
#> 3057       b_cyl  0.317576035 2.126392e-03
#> 3058       b_cyl  0.321045457 2.119137e-03
#> 3059       b_cyl  0.324514878 2.110412e-03
#> 3060       b_cyl  0.327984299 2.100168e-03
#> 3061       b_cyl  0.331453721 2.088359e-03
#> 3062       b_cyl  0.334923142 2.074950e-03
#> 3063       b_cyl  0.338392564 2.059910e-03
#> 3064       b_cyl  0.341861985 2.042820e-03
#> 3065       b_cyl  0.345331406 2.024062e-03
#> 3066       b_cyl  0.348800828 2.003637e-03
#> 3067       b_cyl  0.352270249 1.981552e-03
#> 3068       b_cyl  0.355739671 1.957820e-03
#> 3069       b_cyl  0.359209092 1.932463e-03
#> 3070       b_cyl  0.362678513 1.905215e-03
#> 3071       b_cyl  0.366147935 1.876352e-03
#> 3072       b_cyl  0.369617356 1.845998e-03
# }