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 class 'data.frame'
estimate_density(
x,
method = "kernel",
precision = 2^10,
extend = FALSE,
extend_scale = 0.1,
bw = "SJ",
ci = NULL,
select = NULL,
by = NULL,
at = NULL,
rvar_col = 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.frame
methods.- ...
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 indensity
.- 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 by1/10
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 fromdatawizard::extract_column_names()
(such asexclude
) can also be used.- by
Optional character vector. If not
NULL
and input is a data frame, density estimation is performed for each group (subsets) indicated byby
. See examples.- at
Deprecated in favour of
by
.- rvar_col
A single character - the name of an
rvar
column in the data frame to be processed. See example inp_direction()
.
Note
There is also a plot()
-method implemented in the see-package.
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 0.09643086
#> 2 Sepal.Length 4.303519 0.09759152
#> 3 Sepal.Length 4.307038 0.09875679
#> 4 Sepal.Length 4.310557 0.09993469
#> 5 Sepal.Length 4.314076 0.10111692
#> 6 Sepal.Length 4.317595 0.10230788
head(estimate_density(iris, select = "Sepal.Width"))
#> Parameter x y
#> 1 Sepal.Width 2.000000 0.04647877
#> 2 Sepal.Width 2.002346 0.04729167
#> 3 Sepal.Width 2.004692 0.04811925
#> 4 Sepal.Width 2.007038 0.04895638
#> 5 Sepal.Width 2.009384 0.04980346
#> 6 Sepal.Width 2.011730 0.05066768
# Grouped data
head(estimate_density(iris, by = "Species"))
#> Parameter x y Species
#> 1 Sepal.Length 4.300000 0.2354858 setosa
#> 2 Sepal.Length 4.301466 0.2374750 setosa
#> 3 Sepal.Length 4.302933 0.2394634 setosa
#> 4 Sepal.Length 4.304399 0.2414506 setosa
#> 5 Sepal.Length 4.305865 0.2434373 setosa
#> 6 Sepal.Length 4.307331 0.2454216 setosa
head(estimate_density(iris$Petal.Width, by = iris$Species))
#> x y Group
#> 1 0.1000000 9.011849 setosa
#> 2 0.1004888 8.955321 setosa
#> 3 0.1009775 8.792006 setosa
#> 4 0.1014663 8.527789 setosa
#> 5 0.1019550 8.171922 setosa
#> 6 0.1024438 7.736494 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 0.002028542
#> 2 (Intercept) 24.22067 0.002051099
#> 3 (Intercept) 24.24892 0.002073742
#> 4 (Intercept) 24.27717 0.002096471
#> 5 (Intercept) 24.30542 0.002119371
#> 6 (Intercept) 24.33367 0.002142358
library(emmeans)
head(estimate_density(emtrends(model, ~1, "wt", data = mtcars)))
#> X1 x y
#> 1 overall -7.810281 0.01753665
#> 2 overall -7.806283 0.01762645
#> 3 overall -7.802285 0.01771463
#> 4 overall -7.798287 0.01780030
#> 5 overall -7.794289 0.01788463
#> 6 overall -7.790292 0.01796733
# 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: 0.022 seconds (Warm-up)
#> Chain 1: 0.016 seconds (Sampling)
#> Chain 1: 0.038 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!
#> Chain 2:
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#> Chain 2:
#> Chain 2: Elapsed Time: 0.022 seconds (Warm-up)
#> Chain 2: 0.015 seconds (Sampling)
#> Chain 2: 0.037 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!
#> Chain 3:
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#> Chain 3:
#> Chain 3: Elapsed Time: 0.024 seconds (Warm-up)
#> Chain 3: 0.019 seconds (Sampling)
#> Chain 3: 0.043 seconds (Total)
#> Chain 3:
#>
#> SAMPLING FOR MODEL 'anon_model' NOW (CHAIN 4).
#> Chain 4:
#> Chain 4: Gradient evaluation took 4e-06 seconds
#> Chain 4: 1000 transitions using 10 leapfrog steps per transition would take 0.04 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 2.750315e-04
#> 2 b_Intercept 31.692604903 2.747610e-04
#> 3 b_Intercept 31.707698163 2.740329e-04
#> 4 b_Intercept 31.722791424 2.728507e-04
#> 5 b_Intercept 31.737884685 2.712198e-04
#> 6 b_Intercept 31.752977946 2.691474e-04
#> 7 b_Intercept 31.768071206 2.666050e-04
#> 8 b_Intercept 31.783164467 2.635872e-04
#> 9 b_Intercept 31.798257728 2.601691e-04
#> 10 b_Intercept 31.813350988 2.563662e-04
#> 11 b_Intercept 31.828444249 2.521953e-04
#> 12 b_Intercept 31.843537510 2.476744e-04
#> 13 b_Intercept 31.858630770 2.428182e-04
#> 14 b_Intercept 31.873724031 2.375927e-04
#> 15 b_Intercept 31.888817292 2.320916e-04
#> 16 b_Intercept 31.903910552 2.263376e-04
#> 17 b_Intercept 31.919003813 2.203543e-04
#> 18 b_Intercept 31.934097074 2.141651e-04
#> 19 b_Intercept 31.949190334 2.077943e-04
#> 20 b_Intercept 31.964283595 2.012455e-04
#> 21 b_Intercept 31.979376856 1.945691e-04
#> 22 b_Intercept 31.994470116 1.877983e-04
#> 23 b_Intercept 32.009563377 1.809569e-04
#> 24 b_Intercept 32.024656638 1.740682e-04
#> 25 b_Intercept 32.039749899 1.671553e-04
#> 26 b_Intercept 32.054843159 1.602432e-04
#> 27 b_Intercept 32.069936420 1.533636e-04
#> 28 b_Intercept 32.085029681 1.465364e-04
#> 29 b_Intercept 32.100122941 1.397808e-04
#> 30 b_Intercept 32.115216202 1.331152e-04
#> 31 b_Intercept 32.130309463 1.265571e-04
#> 32 b_Intercept 32.145402723 1.201261e-04
#> 33 b_Intercept 32.160495984 1.138693e-04
#> 34 b_Intercept 32.175589245 1.077739e-04
#> 35 b_Intercept 32.190682505 1.018525e-04
#> 36 b_Intercept 32.205775766 9.611626e-05
#> 37 b_Intercept 32.220869027 9.057580e-05
#> 38 b_Intercept 32.235962287 8.524068e-05
#> 39 b_Intercept 32.251055548 8.015963e-05
#> 40 b_Intercept 32.266148809 7.531581e-05
#> 41 b_Intercept 32.281242069 7.070384e-05
#> 42 b_Intercept 32.296335330 6.632925e-05
#> 43 b_Intercept 32.311428591 6.219697e-05
#> 44 b_Intercept 32.326521851 5.831140e-05
#> 45 b_Intercept 32.341615112 5.470275e-05
#> 46 b_Intercept 32.356708373 5.138225e-05
#> 47 b_Intercept 32.371801634 4.832055e-05
#> 48 b_Intercept 32.386894894 4.552042e-05
#> 49 b_Intercept 32.401988155 4.298453e-05
#> 50 b_Intercept 32.417081416 4.071555e-05
#> 51 b_Intercept 32.432174676 3.872390e-05
#> 52 b_Intercept 32.447267937 3.706140e-05
#> 53 b_Intercept 32.462361198 3.567666e-05
#> 54 b_Intercept 32.477454458 3.457348e-05
#> 55 b_Intercept 32.492547719 3.375609e-05
#> 56 b_Intercept 32.507640980 3.322920e-05
#> 57 b_Intercept 32.522734240 3.299803e-05
#> 58 b_Intercept 32.537827501 3.312604e-05
#> 59 b_Intercept 32.552920762 3.358088e-05
#> 60 b_Intercept 32.568014022 3.435644e-05
#> 61 b_Intercept 32.583107283 3.546153e-05
#> 62 b_Intercept 32.598200544 3.690572e-05
#> 63 b_Intercept 32.613293804 3.869939e-05
#> 64 b_Intercept 32.628387065 4.089532e-05
#> 65 b_Intercept 32.643480326 4.351605e-05
#> 66 b_Intercept 32.658573587 4.653145e-05
#> 67 b_Intercept 32.673666847 4.995626e-05
#> 68 b_Intercept 32.688760108 5.380601e-05
#> 69 b_Intercept 32.703853369 5.809703e-05
#> 70 b_Intercept 32.718946629 6.286326e-05
#> 71 b_Intercept 32.734039890 6.820712e-05
#> 72 b_Intercept 32.749133151 7.405780e-05
#> 73 b_Intercept 32.764226411 8.043528e-05
#> 74 b_Intercept 32.779319672 8.736004e-05
#> 75 b_Intercept 32.794412933 9.485309e-05
#> 76 b_Intercept 32.809506193 1.029358e-04
#> 77 b_Intercept 32.824599454 1.117538e-04
#> 78 b_Intercept 32.839692715 1.212438e-04
#> 79 b_Intercept 32.854785975 1.314036e-04
#> 80 b_Intercept 32.869879236 1.422560e-04
#> 81 b_Intercept 32.884972497 1.538237e-04
#> 82 b_Intercept 32.900065757 1.661291e-04
#> 83 b_Intercept 32.915159018 1.792873e-04
#> 84 b_Intercept 32.930252279 1.933288e-04
#> 85 b_Intercept 32.945345539 2.081875e-04
#> 86 b_Intercept 32.960438800 2.238846e-04
#> 87 b_Intercept 32.975532061 2.404404e-04
#> 88 b_Intercept 32.990625322 2.578750e-04
#> 89 b_Intercept 33.005718582 2.762463e-04
#> 90 b_Intercept 33.020811843 2.957153e-04
#> 91 b_Intercept 33.035905104 3.161285e-04
#> 92 b_Intercept 33.050998364 3.375019e-04
#> 93 b_Intercept 33.066091625 3.598505e-04
#> 94 b_Intercept 33.081184886 3.831885e-04
#> 95 b_Intercept 33.096278146 4.075289e-04
#> 96 b_Intercept 33.111371407 4.330883e-04
#> 97 b_Intercept 33.126464668 4.597125e-04
#> 98 b_Intercept 33.141557928 4.873768e-04
#> 99 b_Intercept 33.156651189 5.160887e-04
#> 100 b_Intercept 33.171744450 5.458550e-04
#> 101 b_Intercept 33.186837710 5.766811e-04
#> 102 b_Intercept 33.201930971 6.087035e-04
#> 103 b_Intercept 33.217024232 6.419097e-04
#> 104 b_Intercept 33.232117492 6.761860e-04
#> 105 b_Intercept 33.247210753 7.115323e-04
#> 106 b_Intercept 33.262304014 7.479478e-04
#> 107 b_Intercept 33.277397275 7.854306e-04
#> 108 b_Intercept 33.292490535 8.240289e-04
#> 109 b_Intercept 33.307583796 8.638791e-04
#> 110 b_Intercept 33.322677057 9.047803e-04
#> 111 b_Intercept 33.337770317 9.467256e-04
#> 112 b_Intercept 33.352863578 9.897067e-04
#> 113 b_Intercept 33.367956839 1.033715e-03
#> 114 b_Intercept 33.383050099 1.078740e-03
#> 115 b_Intercept 33.398143360 1.124972e-03
#> 116 b_Intercept 33.413236621 1.172216e-03
#> 117 b_Intercept 33.428329881 1.220431e-03
#> 118 b_Intercept 33.443423142 1.269600e-03
#> 119 b_Intercept 33.458516403 1.319708e-03
#> 120 b_Intercept 33.473609663 1.370737e-03
#> 121 b_Intercept 33.488702924 1.422780e-03
#> 122 b_Intercept 33.503796185 1.475782e-03
#> 123 b_Intercept 33.518889445 1.529629e-03
#> 124 b_Intercept 33.533982706 1.584296e-03
#> 125 b_Intercept 33.549075967 1.639758e-03
#> 126 b_Intercept 33.564169228 1.695987e-03
#> 127 b_Intercept 33.579262488 1.752994e-03
#> 128 b_Intercept 33.594355749 1.810821e-03
#> 129 b_Intercept 33.609449010 1.869305e-03
#> 130 b_Intercept 33.624542270 1.928412e-03
#> 131 b_Intercept 33.639635531 1.988108e-03
#> 132 b_Intercept 33.654728792 2.048355e-03
#> 133 b_Intercept 33.669822052 2.109115e-03
#> 134 b_Intercept 33.684915313 2.170437e-03
#> 135 b_Intercept 33.700008574 2.232178e-03
#> 136 b_Intercept 33.715101834 2.294287e-03
#> 137 b_Intercept 33.730195095 2.356721e-03
#> 138 b_Intercept 33.745288356 2.419439e-03
#> 139 b_Intercept 33.760381616 2.482397e-03
#> 140 b_Intercept 33.775474877 2.545570e-03
#> 141 b_Intercept 33.790568138 2.608890e-03
#> 142 b_Intercept 33.805661398 2.672296e-03
#> 143 b_Intercept 33.820754659 2.735747e-03
#> 144 b_Intercept 33.835847920 2.799202e-03
#> 145 b_Intercept 33.850941180 2.862624e-03
#> 146 b_Intercept 33.866034441 2.925967e-03
#> 147 b_Intercept 33.881127702 2.989169e-03
#> 148 b_Intercept 33.896220963 3.052212e-03
#> 149 b_Intercept 33.911314223 3.115067e-03
#> 150 b_Intercept 33.926407484 3.177709e-03
#> 151 b_Intercept 33.941500745 3.240114e-03
#> 152 b_Intercept 33.956594005 3.302262e-03
#> 153 b_Intercept 33.971687266 3.364072e-03
#> 154 b_Intercept 33.986780527 3.425588e-03
#> 155 b_Intercept 34.001873787 3.486807e-03
#> 156 b_Intercept 34.016967048 3.547730e-03
#> 157 b_Intercept 34.032060309 3.608357e-03
#> 158 b_Intercept 34.047153569 3.668696e-03
#> 159 b_Intercept 34.062246830 3.728721e-03
#> 160 b_Intercept 34.077340091 3.788472e-03
#> 161 b_Intercept 34.092433351 3.847997e-03
#> 162 b_Intercept 34.107526612 3.907324e-03
#> 163 b_Intercept 34.122619873 3.966483e-03
#> 164 b_Intercept 34.137713133 4.025511e-03
#> 165 b_Intercept 34.152806394 4.084443e-03
#> 166 b_Intercept 34.167899655 4.143338e-03
#> 167 b_Intercept 34.182992916 4.202260e-03
#> 168 b_Intercept 34.198086176 4.261261e-03
#> 169 b_Intercept 34.213179437 4.320396e-03
#> 170 b_Intercept 34.228272698 4.379720e-03
#> 171 b_Intercept 34.243365958 4.439295e-03
#> 172 b_Intercept 34.258459219 4.499272e-03
#> 173 b_Intercept 34.273552480 4.559662e-03
#> 174 b_Intercept 34.288645740 4.620529e-03
#> 175 b_Intercept 34.303739001 4.681938e-03
#> 176 b_Intercept 34.318832262 4.743952e-03
#> 177 b_Intercept 34.333925522 4.806639e-03
#> 178 b_Intercept 34.349018783 4.870188e-03
#> 179 b_Intercept 34.364112044 4.934637e-03
#> 180 b_Intercept 34.379205304 4.999988e-03
#> 181 b_Intercept 34.394298565 5.066300e-03
#> 182 b_Intercept 34.409391826 5.133633e-03
#> 183 b_Intercept 34.424485086 5.202044e-03
#> 184 b_Intercept 34.439578347 5.271678e-03
#> 185 b_Intercept 34.454671608 5.342704e-03
#> 186 b_Intercept 34.469764868 5.414991e-03
#> 187 b_Intercept 34.484858129 5.488583e-03
#> 188 b_Intercept 34.499951390 5.563520e-03
#> 189 b_Intercept 34.515044651 5.639842e-03
#> 190 b_Intercept 34.530137911 5.717583e-03
#> 191 b_Intercept 34.545231172 5.797118e-03
#> 192 b_Intercept 34.560324433 5.878145e-03
#> 193 b_Intercept 34.575417693 5.960685e-03
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#> 905 b_Intercept 45.321819300 1.550849e-03
#> 906 b_Intercept 45.336912560 1.505163e-03
#> 907 b_Intercept 45.352005821 1.461311e-03
#> 908 b_Intercept 45.367099082 1.419306e-03
#> 909 b_Intercept 45.382192342 1.379155e-03
#> 910 b_Intercept 45.397285603 1.340865e-03
#> 911 b_Intercept 45.412378864 1.304490e-03
#> 912 b_Intercept 45.427472124 1.270361e-03
#> 913 b_Intercept 45.442565385 1.238090e-03
#> 914 b_Intercept 45.457658646 1.207671e-03
#> 915 b_Intercept 45.472751906 1.179091e-03
#> 916 b_Intercept 45.487845167 1.152336e-03
#> 917 b_Intercept 45.502938428 1.127389e-03
#> 918 b_Intercept 45.518031688 1.104550e-03
#> 919 b_Intercept 45.533124949 1.083544e-03
#> 920 b_Intercept 45.548218210 1.064254e-03
#> 921 b_Intercept 45.563311471 1.046649e-03
#> 922 b_Intercept 45.578404731 1.030691e-03
#> 923 b_Intercept 45.593497992 1.016342e-03
#> 924 b_Intercept 45.608591253 1.003722e-03
#> 925 b_Intercept 45.623684513 9.927868e-04
#> 926 b_Intercept 45.638777774 9.832930e-04
#> 927 b_Intercept 45.653871035 9.751872e-04
#> 928 b_Intercept 45.668964295 9.684133e-04
#> 929 b_Intercept 45.684057556 9.629128e-04
#> 930 b_Intercept 45.699150817 9.586621e-04
#> 931 b_Intercept 45.714244077 9.557610e-04
#> 932 b_Intercept 45.729337338 9.539022e-04
#> 933 b_Intercept 45.744430599 9.530162e-04
#> 934 b_Intercept 45.759523859 9.530321e-04
#> 935 b_Intercept 45.774617120 9.538776e-04
#> 936 b_Intercept 45.789710381 9.554791e-04
#> 937 b_Intercept 45.804803641 9.578687e-04
#> 938 b_Intercept 45.819896902 9.608453e-04
#> 939 b_Intercept 45.834990163 9.643046e-04
#> 940 b_Intercept 45.850083424 9.681698e-04
#> 941 b_Intercept 45.865176684 9.723643e-04
#> 942 b_Intercept 45.880269945 9.768116e-04
#> 943 b_Intercept 45.895363206 9.814439e-04
#> 944 b_Intercept 45.910456466 9.861536e-04
#> 945 b_Intercept 45.925549727 9.908492e-04
#> 946 b_Intercept 45.940642988 9.954604e-04
#> 947 b_Intercept 45.955736248 9.999190e-04
#> 948 b_Intercept 45.970829509 1.004159e-03
#> 949 b_Intercept 45.985922770 1.008101e-03
#> 950 b_Intercept 46.001016030 1.011611e-03
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#> 952 b_Intercept 46.031202552 1.017285e-03
#> 953 b_Intercept 46.046295812 1.019352e-03
#> 954 b_Intercept 46.061389073 1.020848e-03
#> 955 b_Intercept 46.076482334 1.021733e-03
#> 956 b_Intercept 46.091575594 1.021838e-03
#> 957 b_Intercept 46.106668855 1.021233e-03
#> 958 b_Intercept 46.121762116 1.019920e-03
#> 959 b_Intercept 46.136855376 1.017886e-03
#> 960 b_Intercept 46.151948637 1.015118e-03
#> 961 b_Intercept 46.167041898 1.011613e-03
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#> 963 b_Intercept 46.197228419 1.002137e-03
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#> 965 b_Intercept 46.227414941 9.897290e-04
#> 966 b_Intercept 46.242508201 9.825055e-04
#> 967 b_Intercept 46.257601462 9.746368e-04
#> 968 b_Intercept 46.272694723 9.661276e-04
#> 969 b_Intercept 46.287787983 9.569492e-04
#> 970 b_Intercept 46.302881244 9.472568e-04
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#> 975 b_Intercept 46.378347547 8.926850e-04
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#> 980 b_Intercept 46.453813851 8.330378e-04
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#> 983 b_Intercept 46.499093633 7.979708e-04
#> 984 b_Intercept 46.514186894 7.867233e-04
#> 985 b_Intercept 46.529280154 7.757631e-04
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#> 989 b_Intercept 46.589653197 7.356966e-04
#> 990 b_Intercept 46.604746458 7.267591e-04
#> 991 b_Intercept 46.619839718 7.182713e-04
#> 992 b_Intercept 46.634932979 7.102415e-04
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#> 994 b_Intercept 46.665119500 6.956628e-04
#> 995 b_Intercept 46.680212761 6.891119e-04
#> 996 b_Intercept 46.695306022 6.829982e-04
#> 997 b_Intercept 46.710399282 6.773049e-04
#> 998 b_Intercept 46.725492543 6.720118e-04
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#> 1001 b_Intercept 46.770772325 6.583749e-04
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#> 1079 b_wt -6.539438818 7.056642e-04
#> 1080 b_wt -6.533094579 6.983223e-04
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#> 1083 b_wt -6.514061860 6.740029e-04
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#> 1085 b_wt -6.501373382 6.562478e-04
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#> 1090 b_wt -6.469652184 6.090074e-04
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#> 1099 b_wt -6.412554030 5.317750e-04
#> 1100 b_wt -6.406209790 5.251862e-04
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#> 1130 b_wt -6.215882608 6.666919e-04
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#> 1179 b_wt -5.905014876 1.534765e-03
#> 1180 b_wt -5.898670637 1.569982e-03
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#> 1197 b_wt -5.790818567 2.486839e-03
#> 1198 b_wt -5.784474328 2.567049e-03
#> 1199 b_wt -5.778130088 2.651906e-03
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#> 1210 b_wt -5.708343455 3.920840e-03
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#> 1217 b_wt -5.663933779 5.135915e-03
#> 1218 b_wt -5.657589539 5.340342e-03
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#> 1229 b_wt -5.587802906 8.086977e-03
#> 1230 b_wt -5.581458666 8.380429e-03
#> 1231 b_wt -5.575114427 8.679895e-03
#> 1232 b_wt -5.568770187 8.985060e-03
#> 1233 b_wt -5.562425948 9.295636e-03
#> 1234 b_wt -5.556081709 9.611319e-03
#> 1235 b_wt -5.549737469 9.931790e-03
#> 1236 b_wt -5.543393230 1.025749e-02
#> 1237 b_wt -5.537048990 1.058726e-02
#> 1238 b_wt -5.530704751 1.092054e-02
#> 1239 b_wt -5.524360511 1.125697e-02
#> 1240 b_wt -5.518016272 1.159616e-02
#> 1241 b_wt -5.511672033 1.193775e-02
#> 1242 b_wt -5.505327793 1.228158e-02
#> 1243 b_wt -5.498983554 1.262695e-02
#> 1244 b_wt -5.492639314 1.297334e-02
#> 1245 b_wt -5.486295075 1.332040e-02
#> 1246 b_wt -5.479950836 1.366776e-02
#> 1247 b_wt -5.473606596 1.401509e-02
#> 1248 b_wt -5.467262357 1.436195e-02
#> 1249 b_wt -5.460918117 1.470791e-02
#> 1250 b_wt -5.454573878 1.505273e-02
#> 1251 b_wt -5.448229638 1.539617e-02
#> 1252 b_wt -5.441885399 1.573800e-02
#> 1253 b_wt -5.435541160 1.607800e-02
#> 1254 b_wt -5.429196920 1.641579e-02
#> 1255 b_wt -5.422852681 1.675104e-02
#> 1256 b_wt -5.416508441 1.708396e-02
#> 1257 b_wt -5.410164202 1.741449e-02
#> 1258 b_wt -5.403819963 1.774258e-02
#> 1259 b_wt -5.397475723 1.806823e-02
#> 1260 b_wt -5.391131484 1.839134e-02
#> 1261 b_wt -5.384787244 1.871169e-02
#> 1262 b_wt -5.378443005 1.902985e-02
#> 1263 b_wt -5.372098765 1.934598e-02
#> 1264 b_wt -5.365754526 1.966024e-02
#> 1265 b_wt -5.359410287 1.997283e-02
#> 1266 b_wt -5.353066047 2.028398e-02
#> 1267 b_wt -5.346721808 2.059380e-02
#> 1268 b_wt -5.340377568 2.090293e-02
#> 1269 b_wt -5.334033329 2.121169e-02
#> 1270 b_wt -5.327689090 2.152042e-02
#> 1271 b_wt -5.321344850 2.182948e-02
#> 1272 b_wt -5.315000611 2.213925e-02
#> 1273 b_wt -5.308656371 2.245050e-02
#> 1274 b_wt -5.302312132 2.276354e-02
#> 1275 b_wt -5.295967893 2.307874e-02
#> 1276 b_wt -5.289623653 2.339654e-02
#> 1277 b_wt -5.283279414 2.371734e-02
#> 1278 b_wt -5.276935174 2.404158e-02
#> 1279 b_wt -5.270590935 2.437051e-02
#> 1280 b_wt -5.264246695 2.470418e-02
#> 1281 b_wt -5.257902456 2.504276e-02
#> 1282 b_wt -5.251558217 2.538666e-02
#> 1283 b_wt -5.245213977 2.573624e-02
#> 1284 b_wt -5.238869738 2.609186e-02
#> 1285 b_wt -5.232525498 2.645493e-02
#> 1286 b_wt -5.226181259 2.682550e-02
#> 1287 b_wt -5.219837020 2.720329e-02
#> 1288 b_wt -5.213492780 2.758857e-02
#> 1289 b_wt -5.207148541 2.798160e-02
#> 1290 b_wt -5.200804301 2.838262e-02
#> 1291 b_wt -5.194460062 2.879282e-02
#> 1292 b_wt -5.188115822 2.921256e-02
#> 1293 b_wt -5.181771583 2.964097e-02
#> 1294 b_wt -5.175427344 3.007818e-02
#> 1295 b_wt -5.169083104 3.052429e-02
#> 1296 b_wt -5.162738865 3.097943e-02
#> 1297 b_wt -5.156394625 3.144439e-02
#> 1298 b_wt -5.150050386 3.192001e-02
#> 1299 b_wt -5.143706147 3.240487e-02
#> 1300 b_wt -5.137361907 3.289899e-02
#> 1301 b_wt -5.131017668 3.340238e-02
#> 1302 b_wt -5.124673428 3.391504e-02
#> 1303 b_wt -5.118329189 3.443739e-02
#> 1304 b_wt -5.111984949 3.497084e-02
#> 1305 b_wt -5.105640710 3.551353e-02
#> 1306 b_wt -5.099296471 3.606545e-02
#> 1307 b_wt -5.092952231 3.662659e-02
#> 1308 b_wt -5.086607992 3.719693e-02
#> 1309 b_wt -5.080263752 3.777651e-02
#> 1310 b_wt -5.073919513 3.836741e-02
#> 1311 b_wt -5.067575274 3.896747e-02
#> 1312 b_wt -5.061231034 3.957670e-02
#> 1313 b_wt -5.054886795 4.019511e-02
#> 1314 b_wt -5.048542555 4.082272e-02
#> 1315 b_wt -5.042198316 4.145955e-02
#> 1316 b_wt -5.035854076 4.210761e-02
#> 1317 b_wt -5.029509837 4.276525e-02
#> 1318 b_wt -5.023165598 4.343225e-02
#> 1319 b_wt -5.016821358 4.410867e-02
#> 1320 b_wt -5.010477119 4.479456e-02
#> 1321 b_wt -5.004132879 4.549000e-02
#> 1322 b_wt -4.997788640 4.619674e-02
#> 1323 b_wt -4.991444401 4.691382e-02
#> 1324 b_wt -4.985100161 4.764067e-02
#> 1325 b_wt -4.978755922 4.837735e-02
#> 1326 b_wt -4.972411682 4.912392e-02
#> 1327 b_wt -4.966067443 4.988043e-02
#> 1328 b_wt -4.959723203 5.064834e-02
#> 1329 b_wt -4.953378964 5.142730e-02
#> 1330 b_wt -4.947034725 5.221632e-02
#> 1331 b_wt -4.940690485 5.301539e-02
#> 1332 b_wt -4.934346246 5.382451e-02
#> 1333 b_wt -4.928002006 5.464365e-02
#> 1334 b_wt -4.921657767 5.547381e-02
#> 1335 b_wt -4.915313528 5.631523e-02
#> 1336 b_wt -4.908969288 5.716644e-02
#> 1337 b_wt -4.902625049 5.802735e-02
#> 1338 b_wt -4.896280809 5.889783e-02
#> 1339 b_wt -4.889936570 5.977774e-02
#> 1340 b_wt -4.883592330 6.066755e-02
#> 1341 b_wt -4.877248091 6.156796e-02
#> 1342 b_wt -4.870903852 6.247717e-02
#> 1343 b_wt -4.864559612 6.339498e-02
#> 1344 b_wt -4.858215373 6.432115e-02
#> 1345 b_wt -4.851871133 6.525547e-02
#> 1346 b_wt -4.845526894 6.619794e-02
#> 1347 b_wt -4.839182655 6.714958e-02
#> 1348 b_wt -4.832838415 6.810849e-02
#> 1349 b_wt -4.826494176 6.907443e-02
#> 1350 b_wt -4.820149936 7.004716e-02
#> 1351 b_wt -4.813805697 7.102644e-02
#> 1352 b_wt -4.807461457 7.201207e-02
#> 1353 b_wt -4.801117218 7.300519e-02
#> 1354 b_wt -4.794772979 7.400414e-02
#> 1355 b_wt -4.788428739 7.500874e-02
#> 1356 b_wt -4.782084500 7.601885e-02
#> 1357 b_wt -4.775740260 7.703434e-02
#> 1358 b_wt -4.769396021 7.805512e-02
#> 1359 b_wt -4.763051782 7.908215e-02
#> 1360 b_wt -4.756707542 8.011456e-02
#> 1361 b_wt -4.750363303 8.115217e-02
#> 1362 b_wt -4.744019063 8.219502e-02
#> 1363 b_wt -4.737674824 8.324320e-02
#> 1364 b_wt -4.731330584 8.429682e-02
#> 1365 b_wt -4.724986345 8.535701e-02
#> 1366 b_wt -4.718642106 8.642355e-02
#> 1367 b_wt -4.712297866 8.749626e-02
#> 1368 b_wt -4.705953627 8.857544e-02
#> 1369 b_wt -4.699609387 8.966139e-02
#> 1370 b_wt -4.693265148 9.075445e-02
#> 1371 b_wt -4.686920909 9.185604e-02
#> 1372 b_wt -4.680576669 9.296665e-02
#> 1373 b_wt -4.674232430 9.408587e-02
#> 1374 b_wt -4.667888190 9.521417e-02
#> 1375 b_wt -4.661543951 9.635204e-02
#> 1376 b_wt -4.655199712 9.749999e-02
#> 1377 b_wt -4.648855472 9.865958e-02
#> 1378 b_wt -4.642511233 9.983222e-02
#> 1379 b_wt -4.636166993 1.010169e-01
#> 1380 b_wt -4.629822754 1.022140e-01
#> 1381 b_wt -4.623478514 1.034243e-01
#> 1382 b_wt -4.617134275 1.046482e-01
#> 1383 b_wt -4.610790036 1.058871e-01
#> 1384 b_wt -4.604445796 1.071436e-01
#> 1385 b_wt -4.598101557 1.084157e-01
#> 1386 b_wt -4.591757317 1.097037e-01
#> 1387 b_wt -4.585413078 1.110082e-01
#> 1388 b_wt -4.579068839 1.123295e-01
#> 1389 b_wt -4.572724599 1.136686e-01
#> 1390 b_wt -4.566380360 1.150293e-01
#> 1391 b_wt -4.560036120 1.164084e-01
#> 1392 b_wt -4.553691881 1.178061e-01
#> 1393 b_wt -4.547347641 1.192226e-01
#> 1394 b_wt -4.541003402 1.206582e-01
#> 1395 b_wt -4.534659163 1.221132e-01
#> 1396 b_wt -4.528314923 1.235922e-01
#> 1397 b_wt -4.521970684 1.250912e-01
#> 1398 b_wt -4.515626444 1.266102e-01
#> 1399 b_wt -4.509282205 1.281490e-01
#> 1400 b_wt -4.502937966 1.297078e-01
#> 1401 b_wt -4.496593726 1.312866e-01
#> 1402 b_wt -4.490249487 1.328891e-01
#> 1403 b_wt -4.483905247 1.345125e-01
#> 1404 b_wt -4.477561008 1.361557e-01
#> 1405 b_wt -4.471216768 1.378185e-01
#> 1406 b_wt -4.464872529 1.395008e-01
#> 1407 b_wt -4.458528290 1.412024e-01
#> 1408 b_wt -4.452184050 1.429261e-01
#> 1409 b_wt -4.445839811 1.446702e-01
#> 1410 b_wt -4.439495571 1.464329e-01
#> 1411 b_wt -4.433151332 1.482138e-01
#> 1412 b_wt -4.426807093 1.500128e-01
#> 1413 b_wt -4.420462853 1.518295e-01
#> 1414 b_wt -4.414118614 1.536656e-01
#> 1415 b_wt -4.407774374 1.555207e-01
#> 1416 b_wt -4.401430135 1.573924e-01
#> 1417 b_wt -4.395085895 1.592803e-01
#> 1418 b_wt -4.388741656 1.611841e-01
#> 1419 b_wt -4.382397417 1.631033e-01
#> 1420 b_wt -4.376053177 1.650388e-01
#> 1421 b_wt -4.369708938 1.669911e-01
#> 1422 b_wt -4.363364698 1.689574e-01
#> 1423 b_wt -4.357020459 1.709372e-01
#> 1424 b_wt -4.350676220 1.729302e-01
#> 1425 b_wt -4.344331980 1.749359e-01
#> 1426 b_wt -4.337987741 1.769543e-01
#> 1427 b_wt -4.331643501 1.789866e-01
#> 1428 b_wt -4.325299262 1.810297e-01
#> 1429 b_wt -4.318955022 1.830833e-01
#> 1430 b_wt -4.312610783 1.851468e-01
#> 1431 b_wt -4.306266544 1.872197e-01
#> 1432 b_wt -4.299922304 1.893016e-01
#> 1433 b_wt -4.293578065 1.913934e-01
#> 1434 b_wt -4.287233825 1.934927e-01
#> 1435 b_wt -4.280889586 1.955988e-01
#> 1436 b_wt -4.274545347 1.977112e-01
#> 1437 b_wt -4.268201107 1.998294e-01
#> 1438 b_wt -4.261856868 2.019527e-01
#> 1439 b_wt -4.255512628 2.040815e-01
#> 1440 b_wt -4.249168389 2.062140e-01
#> 1441 b_wt -4.242824149 2.083498e-01
#> 1442 b_wt -4.236479910 2.104882e-01
#> 1443 b_wt -4.230135671 2.126287e-01
#> 1444 b_wt -4.223791431 2.147709e-01
#> 1445 b_wt -4.217447192 2.169143e-01
#> 1446 b_wt -4.211102952 2.190581e-01
#> 1447 b_wt -4.204758713 2.212021e-01
#> 1448 b_wt -4.198414474 2.233456e-01
#> 1449 b_wt -4.192070234 2.254885e-01
#> 1450 b_wt -4.185725995 2.276304e-01
#> 1451 b_wt -4.179381755 2.297707e-01
#> 1452 b_wt -4.173037516 2.319093e-01
#> 1453 b_wt -4.166693276 2.340461e-01
#> 1454 b_wt -4.160349037 2.361811e-01
#> 1455 b_wt -4.154004798 2.383141e-01
#> 1456 b_wt -4.147660558 2.404451e-01
#> 1457 b_wt -4.141316319 2.425739e-01
#> 1458 b_wt -4.134972079 2.447008e-01
#> 1459 b_wt -4.128627840 2.468260e-01
#> 1460 b_wt -4.122283601 2.489499e-01
#> 1461 b_wt -4.115939361 2.510726e-01
#> 1462 b_wt -4.109595122 2.531944e-01
#> 1463 b_wt -4.103250882 2.553158e-01
#> 1464 b_wt -4.096906643 2.574373e-01
#> 1465 b_wt -4.090562403 2.595595e-01
#> 1466 b_wt -4.084218164 2.616827e-01
#> 1467 b_wt -4.077873925 2.638076e-01
#> 1468 b_wt -4.071529685 2.659347e-01
#> 1469 b_wt -4.065185446 2.680647e-01
#> 1470 b_wt -4.058841206 2.701990e-01
#> 1471 b_wt -4.052496967 2.723375e-01
#> 1472 b_wt -4.046152728 2.744811e-01
#> 1473 b_wt -4.039808488 2.766301e-01
#> 1474 b_wt -4.033464249 2.787854e-01
#> 1475 b_wt -4.027120009 2.809473e-01
#> 1476 b_wt -4.020775770 2.831186e-01
#> 1477 b_wt -4.014431530 2.852981e-01
#> 1478 b_wt -4.008087291 2.874864e-01
#> 1479 b_wt -4.001743052 2.896838e-01
#> 1480 b_wt -3.995398812 2.918910e-01
#> 1481 b_wt -3.989054573 2.941082e-01
#> 1482 b_wt -3.982710333 2.963380e-01
#> 1483 b_wt -3.976366094 2.985792e-01
#> 1484 b_wt -3.970021855 3.008314e-01
#> 1485 b_wt -3.963677615 3.030949e-01
#> 1486 b_wt -3.957333376 3.053697e-01
#> 1487 b_wt -3.950989136 3.076558e-01
#> 1488 b_wt -3.944644897 3.099552e-01
#> 1489 b_wt -3.938300658 3.122665e-01
#> 1490 b_wt -3.931956418 3.145887e-01
#> 1491 b_wt -3.925612179 3.169216e-01
#> 1492 b_wt -3.919267939 3.192647e-01
#> 1493 b_wt -3.912923700 3.216177e-01
#> 1494 b_wt -3.906579460 3.239812e-01
#> 1495 b_wt -3.900235221 3.263543e-01
#> 1496 b_wt -3.893890982 3.287352e-01
#> 1497 b_wt -3.887546742 3.311234e-01
#> 1498 b_wt -3.881202503 3.335180e-01
#> 1499 b_wt -3.874858263 3.359183e-01
#> 1500 b_wt -3.868514024 3.383239e-01
#> 1501 b_wt -3.862169785 3.407338e-01
#> 1502 b_wt -3.855825545 3.431462e-01
#> 1503 b_wt -3.849481306 3.455604e-01
#> 1504 b_wt -3.843137066 3.479753e-01
#> 1505 b_wt -3.836792827 3.503901e-01
#> 1506 b_wt -3.830448587 3.528037e-01
#> 1507 b_wt -3.824104348 3.552145e-01
#> 1508 b_wt -3.817760109 3.576218e-01
#> 1509 b_wt -3.811415869 3.600247e-01
#> 1510 b_wt -3.805071630 3.624222e-01
#> 1511 b_wt -3.798727390 3.648136e-01
#> 1512 b_wt -3.792383151 3.671979e-01
#> 1513 b_wt -3.786038912 3.695723e-01
#> 1514 b_wt -3.779694672 3.719377e-01
#> 1515 b_wt -3.773350433 3.742936e-01
#> 1516 b_wt -3.767006193 3.766391e-01
#> 1517 b_wt -3.760661954 3.789738e-01
#> 1518 b_wt -3.754317714 3.812972e-01
#> 1519 b_wt -3.747973475 3.836058e-01
#> 1520 b_wt -3.741629236 3.859019e-01
#> 1521 b_wt -3.735284996 3.881853e-01
#> 1522 b_wt -3.728940757 3.904556e-01
#> 1523 b_wt -3.722596517 3.927129e-01
#> 1524 b_wt -3.716252278 3.949568e-01
#> 1525 b_wt -3.709908039 3.971848e-01
#> 1526 b_wt -3.703563799 3.993988e-01
#> 1527 b_wt -3.697219560 4.015996e-01
#> 1528 b_wt -3.690875320 4.037873e-01
#> 1529 b_wt -3.684531081 4.059620e-01
#> 1530 b_wt -3.678186841 4.081240e-01
#> 1531 b_wt -3.671842602 4.102716e-01
#> 1532 b_wt -3.665498363 4.124061e-01
#> 1533 b_wt -3.659154123 4.145290e-01
#> 1534 b_wt -3.652809884 4.166406e-01
#> 1535 b_wt -3.646465644 4.187412e-01
#> 1536 b_wt -3.640121405 4.208313e-01
#> 1537 b_wt -3.633777166 4.229099e-01
#> 1538 b_wt -3.627432926 4.249778e-01
#> 1539 b_wt -3.621088687 4.270364e-01
#> 1540 b_wt -3.614744447 4.290860e-01
#> 1541 b_wt -3.608400208 4.311271e-01
#> 1542 b_wt -3.602055968 4.331597e-01
#> 1543 b_wt -3.595711729 4.351837e-01
#> 1544 b_wt -3.589367490 4.371986e-01
#> 1545 b_wt -3.583023250 4.392058e-01
#> 1546 b_wt -3.576679011 4.412053e-01
#> 1547 b_wt -3.570334771 4.431973e-01
#> 1548 b_wt -3.563990532 4.451816e-01
#> 1549 b_wt -3.557646293 4.471577e-01
#> 1550 b_wt -3.551302053 4.491241e-01
#> 1551 b_wt -3.544957814 4.510822e-01
#> 1552 b_wt -3.538613574 4.530313e-01
#> 1553 b_wt -3.532269335 4.549712e-01
#> 1554 b_wt -3.525925095 4.569012e-01
#> 1555 b_wt -3.519580856 4.588207e-01
#> 1556 b_wt -3.513236617 4.607262e-01
#> 1557 b_wt -3.506892377 4.626193e-01
#> 1558 b_wt -3.500548138 4.644991e-01
#> 1559 b_wt -3.494203898 4.663647e-01
#> 1560 b_wt -3.487859659 4.682151e-01
#> 1561 b_wt -3.481515420 4.700493e-01
#> 1562 b_wt -3.475171180 4.718619e-01
#> 1563 b_wt -3.468826941 4.736548e-01
#> 1564 b_wt -3.462482701 4.754272e-01
#> 1565 b_wt -3.456138462 4.771777e-01
#> 1566 b_wt -3.449794222 4.789051e-01
#> 1567 b_wt -3.443449983 4.806081e-01
#> 1568 b_wt -3.437105744 4.822802e-01
#> 1569 b_wt -3.430761504 4.839227e-01
#> 1570 b_wt -3.424417265 4.855359e-01
#> 1571 b_wt -3.418073025 4.871183e-01
#> 1572 b_wt -3.411728786 4.886686e-01
#> 1573 b_wt -3.405384547 4.901855e-01
#> 1574 b_wt -3.399040307 4.916622e-01
#> 1575 b_wt -3.392696068 4.930988e-01
#> 1576 b_wt -3.386351828 4.944973e-01
#> 1577 b_wt -3.380007589 4.958565e-01
#> 1578 b_wt -3.373663349 4.971754e-01
#> 1579 b_wt -3.367319110 4.984527e-01
#> 1580 b_wt -3.360974871 4.996826e-01
#> 1581 b_wt -3.354630631 5.008627e-01
#> 1582 b_wt -3.348286392 5.019978e-01
#> 1583 b_wt -3.341942152 5.030870e-01
#> 1584 b_wt -3.335597913 5.041294e-01
#> 1585 b_wt -3.329253674 5.051245e-01
#> 1586 b_wt -3.322909434 5.060678e-01
#> 1587 b_wt -3.316565195 5.069541e-01
#> 1588 b_wt -3.310220955 5.077908e-01
#> 1589 b_wt -3.303876716 5.085775e-01
#> 1590 b_wt -3.297532477 5.093138e-01
#> 1591 b_wt -3.291188237 5.099994e-01
#> 1592 b_wt -3.284843998 5.106320e-01
#> 1593 b_wt -3.278499758 5.112029e-01
#> 1594 b_wt -3.272155519 5.117222e-01
#> 1595 b_wt -3.265811279 5.121898e-01
#> 1596 b_wt -3.259467040 5.126057e-01
#> 1597 b_wt -3.253122801 5.129698e-01
#> 1598 b_wt -3.246778561 5.132821e-01
#> 1599 b_wt -3.240434322 5.135302e-01
#> 1600 b_wt -3.234090082 5.137266e-01
#> 1601 b_wt -3.227745843 5.138715e-01
#> 1602 b_wt -3.221401604 5.139649e-01
#> 1603 b_wt -3.215057364 5.140071e-01
#> 1604 b_wt -3.208713125 5.139981e-01
#> 1605 b_wt -3.202368885 5.139278e-01
#> 1606 b_wt -3.196024646 5.138052e-01
#> 1607 b_wt -3.189680406 5.136323e-01
#> 1608 b_wt -3.183336167 5.134094e-01
#> 1609 b_wt -3.176991928 5.131369e-01
#> 1610 b_wt -3.170647688 5.128149e-01
#> 1611 b_wt -3.164303449 5.124357e-01
#> 1612 b_wt -3.157959209 5.120045e-01
#> 1613 b_wt -3.151614970 5.115254e-01
#> 1614 b_wt -3.145270731 5.109988e-01
#> 1615 b_wt -3.138926491 5.104251e-01
#> 1616 b_wt -3.132582252 5.098049e-01
#> 1617 b_wt -3.126238012 5.091327e-01
#> 1618 b_wt -3.119893773 5.084106e-01
#> 1619 b_wt -3.113549533 5.076441e-01
#> 1620 b_wt -3.107205294 5.068340e-01
#> 1621 b_wt -3.100861055 5.059811e-01
#> 1622 b_wt -3.094516815 5.050860e-01
#> 1623 b_wt -3.088172576 5.041458e-01
#> 1624 b_wt -3.081828336 5.031599e-01
#> 1625 b_wt -3.075484097 5.021353e-01
#> 1626 b_wt -3.069139858 5.010728e-01
#> 1627 b_wt -3.062795618 4.999736e-01
#> 1628 b_wt -3.056451379 4.988388e-01
#> 1629 b_wt -3.050107139 4.976675e-01
#> 1630 b_wt -3.043762900 4.964576e-01
#> 1631 b_wt -3.037418660 4.952164e-01
#> 1632 b_wt -3.031074421 4.939453e-01
#> 1633 b_wt -3.024730182 4.926457e-01
#> 1634 b_wt -3.018385942 4.913188e-01
#> 1635 b_wt -3.012041703 4.899656e-01
#> 1636 b_wt -3.005697463 4.885832e-01
#> 1637 b_wt -2.999353224 4.871788e-01
#> 1638 b_wt -2.993008985 4.857539e-01
#> 1639 b_wt -2.986664745 4.843098e-01
#> 1640 b_wt -2.980320506 4.828479e-01
#> 1641 b_wt -2.973976266 4.813699e-01
#> 1642 b_wt -2.967632027 4.798741e-01
#> 1643 b_wt -2.961287787 4.783657e-01
#> 1644 b_wt -2.954943548 4.768461e-01
#> 1645 b_wt -2.948599309 4.753167e-01
#> 1646 b_wt -2.942255069 4.737787e-01
#> 1647 b_wt -2.935910830 4.722335e-01
#> 1648 b_wt -2.929566590 4.706813e-01
#> 1649 b_wt -2.923222351 4.691247e-01
#> 1650 b_wt -2.916878112 4.675648e-01
#> 1651 b_wt -2.910533872 4.660026e-01
#> 1652 b_wt -2.904189633 4.644390e-01
#> 1653 b_wt -2.897845393 4.628749e-01
#> 1654 b_wt -2.891501154 4.613112e-01
#> 1655 b_wt -2.885156914 4.597486e-01
#> 1656 b_wt -2.878812675 4.581878e-01
#> 1657 b_wt -2.872468436 4.566291e-01
#> 1658 b_wt -2.866124196 4.550729e-01
#> 1659 b_wt -2.859779957 4.535193e-01
#> 1660 b_wt -2.853435717 4.519690e-01
#> 1661 b_wt -2.847091478 4.504220e-01
#> 1662 b_wt -2.840747239 4.488778e-01
#> 1663 b_wt -2.834402999 4.473362e-01
#> 1664 b_wt -2.828058760 4.457970e-01
#> 1665 b_wt -2.821714520 4.442599e-01
#> 1666 b_wt -2.815370281 4.427246e-01
#> 1667 b_wt -2.809026041 4.411903e-01
#> 1668 b_wt -2.802681802 4.396564e-01
#> 1669 b_wt -2.796337563 4.381219e-01
#> 1670 b_wt -2.789993323 4.365864e-01
#> 1671 b_wt -2.783649084 4.350489e-01
#> 1672 b_wt -2.777304844 4.335084e-01
#> 1673 b_wt -2.770960605 4.319633e-01
#> 1674 b_wt -2.764616366 4.304131e-01
#> 1675 b_wt -2.758272126 4.288568e-01
#> 1676 b_wt -2.751927887 4.272935e-01
#> 1677 b_wt -2.745583647 4.257221e-01
#> 1678 b_wt -2.739239408 4.241416e-01
#> 1679 b_wt -2.732895168 4.225483e-01
#> 1680 b_wt -2.726550929 4.209434e-01
#> 1681 b_wt -2.720206690 4.193259e-01
#> 1682 b_wt -2.713862450 4.176946e-01
#> 1683 b_wt -2.707518211 4.160488e-01
#> 1684 b_wt -2.701173971 4.143875e-01
#> 1685 b_wt -2.694829732 4.127058e-01
#> 1686 b_wt -2.688485493 4.110058e-01
#> 1687 b_wt -2.682141253 4.092873e-01
#> 1688 b_wt -2.675797014 4.075493e-01
#> 1689 b_wt -2.669452774 4.057912e-01
#> 1690 b_wt -2.663108535 4.040122e-01
#> 1691 b_wt -2.656764295 4.022077e-01
#> 1692 b_wt -2.650420056 4.003796e-01
#> 1693 b_wt -2.644075817 3.985288e-01
#> 1694 b_wt -2.637731577 3.966546e-01
#> 1695 b_wt -2.631387338 3.947569e-01
#> 1696 b_wt -2.625043098 3.928352e-01
#> 1697 b_wt -2.618698859 3.908857e-01
#> 1698 b_wt -2.612354620 3.889094e-01
#> 1699 b_wt -2.606010380 3.869086e-01
#> 1700 b_wt -2.599666141 3.848831e-01
#> 1701 b_wt -2.593321901 3.828329e-01
#> 1702 b_wt -2.586977662 3.807582e-01
#> 1703 b_wt -2.580633423 3.786563e-01
#> 1704 b_wt -2.574289183 3.765270e-01
#> 1705 b_wt -2.567944944 3.743737e-01
#> 1706 b_wt -2.561600704 3.721968e-01
#> 1707 b_wt -2.555256465 3.699966e-01
#> 1708 b_wt -2.548912225 3.677733e-01
#> 1709 b_wt -2.542567986 3.655259e-01
#> 1710 b_wt -2.536223747 3.632530e-01
#> 1711 b_wt -2.529879507 3.609589e-01
#> 1712 b_wt -2.523535268 3.586442e-01
#> 1713 b_wt -2.517191028 3.563094e-01
#> 1714 b_wt -2.510846789 3.539552e-01
#> 1715 b_wt -2.504502550 3.515816e-01
#> 1716 b_wt -2.498158310 3.491866e-01
#> 1717 b_wt -2.491814071 3.467750e-01
#> 1718 b_wt -2.485469831 3.443473e-01
#> 1719 b_wt -2.479125592 3.419045e-01
#> 1720 b_wt -2.472781352 3.394474e-01
#> 1721 b_wt -2.466437113 3.369769e-01
#> 1722 b_wt -2.460092874 3.344912e-01
#> 1723 b_wt -2.453748634 3.319945e-01
#> 1724 b_wt -2.447404395 3.294878e-01
#> 1725 b_wt -2.441060155 3.269719e-01
#> 1726 b_wt -2.434715916 3.244480e-01
#> 1727 b_wt -2.428371677 3.219169e-01
#> 1728 b_wt -2.422027437 3.193786e-01
#> 1729 b_wt -2.415683198 3.168357e-01
#> 1730 b_wt -2.409338958 3.142891e-01
#> 1731 b_wt -2.402994719 3.117400e-01
#> 1732 b_wt -2.396650479 3.091893e-01
#> 1733 b_wt -2.390306240 3.066379e-01
#> 1734 b_wt -2.383962001 3.040870e-01
#> 1735 b_wt -2.377617761 3.015378e-01
#> 1736 b_wt -2.371273522 2.989911e-01
#> 1737 b_wt -2.364929282 2.964479e-01
#> 1738 b_wt -2.358585043 2.939087e-01
#> 1739 b_wt -2.352240804 2.913743e-01
#> 1740 b_wt -2.345896564 2.888464e-01
#> 1741 b_wt -2.339552325 2.863255e-01
#> 1742 b_wt -2.333208085 2.838117e-01
#> 1743 b_wt -2.326863846 2.813053e-01
#> 1744 b_wt -2.320519606 2.788068e-01
#> 1745 b_wt -2.314175367 2.763165e-01
#> 1746 b_wt -2.307831128 2.738356e-01
#> 1747 b_wt -2.301486888 2.713646e-01
#> 1748 b_wt -2.295142649 2.689025e-01
#> 1749 b_wt -2.288798409 2.664492e-01
#> 1750 b_wt -2.282454170 2.640047e-01
#> 1751 b_wt -2.276109931 2.615689e-01
#> 1752 b_wt -2.269765691 2.591420e-01
#> 1753 b_wt -2.263421452 2.567247e-01
#> 1754 b_wt -2.257077212 2.543150e-01
#> 1755 b_wt -2.250732973 2.519126e-01
#> 1756 b_wt -2.244388733 2.495169e-01
#> 1757 b_wt -2.238044494 2.471276e-01
#> 1758 b_wt -2.231700255 2.447441e-01
#> 1759 b_wt -2.225356015 2.423666e-01
#> 1760 b_wt -2.219011776 2.399932e-01
#> 1761 b_wt -2.212667536 2.376233e-01
#> 1762 b_wt -2.206323297 2.352562e-01
#> 1763 b_wt -2.199979058 2.328913e-01
#> 1764 b_wt -2.193634818 2.305279e-01
#> 1765 b_wt -2.187290579 2.281652e-01
#> 1766 b_wt -2.180946339 2.258023e-01
#> 1767 b_wt -2.174602100 2.234385e-01
#> 1768 b_wt -2.168257860 2.210733e-01
#> 1769 b_wt -2.161913621 2.187062e-01
#> 1770 b_wt -2.155569382 2.163365e-01
#> 1771 b_wt -2.149225142 2.139631e-01
#> 1772 b_wt -2.142880903 2.115859e-01
#> 1773 b_wt -2.136536663 2.092047e-01
#> 1774 b_wt -2.130192424 2.068194e-01
#> 1775 b_wt -2.123848185 2.044297e-01
#> 1776 b_wt -2.117503945 2.020353e-01
#> 1777 b_wt -2.111159706 1.996357e-01
#> 1778 b_wt -2.104815466 1.972311e-01
#> 1779 b_wt -2.098471227 1.948220e-01
#> 1780 b_wt -2.092126987 1.924088e-01
#> 1781 b_wt -2.085782748 1.899916e-01
#> 1782 b_wt -2.079438509 1.875709e-01
#> 1783 b_wt -2.073094269 1.851466e-01
#> 1784 b_wt -2.066750030 1.827197e-01
#> 1785 b_wt -2.060405790 1.802911e-01
#> 1786 b_wt -2.054061551 1.778615e-01
#> 1787 b_wt -2.047717312 1.754316e-01
#> 1788 b_wt -2.041373072 1.730023e-01
#> 1789 b_wt -2.035028833 1.705745e-01
#> 1790 b_wt -2.028684593 1.681499e-01
#> 1791 b_wt -2.022340354 1.657292e-01
#> 1792 b_wt -2.015996114 1.633135e-01
#> 1793 b_wt -2.009651875 1.609037e-01
#> 1794 b_wt -2.003307636 1.585010e-01
#> 1795 b_wt -1.996963396 1.561071e-01
#> 1796 b_wt -1.990619157 1.537249e-01
#> 1797 b_wt -1.984274917 1.513539e-01
#> 1798 b_wt -1.977930678 1.489954e-01
#> 1799 b_wt -1.971586439 1.466506e-01
#> 1800 b_wt -1.965242199 1.443206e-01
#> 1801 b_wt -1.958897960 1.420070e-01
#> 1802 b_wt -1.952553720 1.397150e-01
#> 1803 b_wt -1.946209481 1.374420e-01
#> 1804 b_wt -1.939865242 1.351892e-01
#> 1805 b_wt -1.933521002 1.329577e-01
#> 1806 b_wt -1.927176763 1.307485e-01
#> 1807 b_wt -1.920832523 1.285627e-01
#> 1808 b_wt -1.914488284 1.264070e-01
#> 1809 b_wt -1.908144044 1.242776e-01
#> 1810 b_wt -1.901799805 1.221750e-01
#> 1811 b_wt -1.895455566 1.200999e-01
#> 1812 b_wt -1.889111326 1.180530e-01
#> 1813 b_wt -1.882767087 1.160352e-01
#> 1814 b_wt -1.876422847 1.140527e-01
#> 1815 b_wt -1.870078608 1.121023e-01
#> 1816 b_wt -1.863734369 1.101830e-01
#> 1817 b_wt -1.857390129 1.082952e-01
#> 1818 b_wt -1.851045890 1.064392e-01
#> 1819 b_wt -1.844701650 1.046153e-01
#> 1820 b_wt -1.838357411 1.028287e-01
#> 1821 b_wt -1.832013171 1.010777e-01
#> 1822 b_wt -1.825668932 9.935938e-02
#> 1823 b_wt -1.819324693 9.767385e-02
#> 1824 b_wt -1.812980453 9.602105e-02
#> 1825 b_wt -1.806636214 9.440092e-02
#> 1826 b_wt -1.800291974 9.281703e-02
#> 1827 b_wt -1.793947735 9.126951e-02
#> 1828 b_wt -1.787603496 8.975397e-02
#> 1829 b_wt -1.781259256 8.827014e-02
#> 1830 b_wt -1.774915017 8.681769e-02
#> 1831 b_wt -1.768570777 8.539627e-02
#> 1832 b_wt -1.762226538 8.400786e-02
#> 1833 b_wt -1.755882298 8.265439e-02
#> 1834 b_wt -1.749538059 8.133041e-02
#> 1835 b_wt -1.743193820 8.003546e-02
#> 1836 b_wt -1.736849580 7.876904e-02
#> 1837 b_wt -1.730505341 7.753064e-02
#> 1838 b_wt -1.724161101 7.632089e-02
#> 1839 b_wt -1.717816862 7.514324e-02
#> 1840 b_wt -1.711472623 7.399169e-02
#> 1841 b_wt -1.705128383 7.286569e-02
#> 1842 b_wt -1.698784144 7.176470e-02
#> 1843 b_wt -1.692439904 7.068816e-02
#> 1844 b_wt -1.686095665 6.963569e-02
#> 1845 b_wt -1.679751425 6.861184e-02
#> 1846 b_wt -1.673407186 6.761045e-02
#> 1847 b_wt -1.667062947 6.663100e-02
#> 1848 b_wt -1.660718707 6.567293e-02
#> 1849 b_wt -1.654374468 6.473572e-02
#> 1850 b_wt -1.648030228 6.381883e-02
#> 1851 b_wt -1.641685989 6.292573e-02
#> 1852 b_wt -1.635341750 6.205214e-02
#> 1853 b_wt -1.628997510 6.119694e-02
#> 1854 b_wt -1.622653271 6.035962e-02
#> 1855 b_wt -1.616309031 5.953964e-02
#> 1856 b_wt -1.609964792 5.873649e-02
#> 1857 b_wt -1.603620552 5.795233e-02
#> 1858 b_wt -1.597276313 5.718466e-02
#> 1859 b_wt -1.590932074 5.643187e-02
#> 1860 b_wt -1.584587834 5.569343e-02
#> 1861 b_wt -1.578243595 5.496879e-02
#> 1862 b_wt -1.571899355 5.425741e-02
#> 1863 b_wt -1.565555116 5.356038e-02
#> 1864 b_wt -1.559210877 5.287641e-02
#> 1865 b_wt -1.552866637 5.220368e-02
#> 1866 b_wt -1.546522398 5.154159e-02
#> 1867 b_wt -1.540178158 5.088959e-02
#> 1868 b_wt -1.533833919 5.024711e-02
#> 1869 b_wt -1.527489679 4.961439e-02
#> 1870 b_wt -1.521145440 4.899089e-02
#> 1871 b_wt -1.514801201 4.837482e-02
#> 1872 b_wt -1.508456961 4.776560e-02
#> 1873 b_wt -1.502112722 4.716267e-02
#> 1874 b_wt -1.495768482 4.656547e-02
#> 1875 b_wt -1.489424243 4.597376e-02
#> 1876 b_wt -1.483080004 4.538726e-02
#> 1877 b_wt -1.476735764 4.480455e-02
#> 1878 b_wt -1.470391525 4.422514e-02
#> 1879 b_wt -1.464047285 4.364856e-02
#> 1880 b_wt -1.457703046 4.307433e-02
#> 1881 b_wt -1.451358806 4.250205e-02
#> 1882 b_wt -1.445014567 4.193142e-02
#> 1883 b_wt -1.438670328 4.136166e-02
#> 1884 b_wt -1.432326088 4.079243e-02
#> 1885 b_wt -1.425981849 4.022341e-02
#> 1886 b_wt -1.419637609 3.965432e-02
#> 1887 b_wt -1.413293370 3.908489e-02
#> 1888 b_wt -1.406949131 3.851469e-02
#> 1889 b_wt -1.400604891 3.794363e-02
#> 1890 b_wt -1.394260652 3.737159e-02
#> 1891 b_wt -1.387916412 3.679846e-02
#> 1892 b_wt -1.381572173 3.622417e-02
#> 1893 b_wt -1.375227933 3.564868e-02
#> 1894 b_wt -1.368883694 3.507174e-02
#> 1895 b_wt -1.362539455 3.449360e-02
#> 1896 b_wt -1.356195215 3.391439e-02
#> 1897 b_wt -1.349850976 3.333422e-02
#> 1898 b_wt -1.343506736 3.275322e-02
#> 1899 b_wt -1.337162497 3.217155e-02
#> 1900 b_wt -1.330818258 3.158935e-02
#> 1901 b_wt -1.324474018 3.100698e-02
#> 1902 b_wt -1.318129779 3.042471e-02
#> 1903 b_wt -1.311785539 2.984280e-02
#> 1904 b_wt -1.305441300 2.926152e-02
#> 1905 b_wt -1.299097060 2.868117e-02
#> 1906 b_wt -1.292752821 2.810227e-02
#> 1907 b_wt -1.286408582 2.752525e-02
#> 1908 b_wt -1.280064342 2.695031e-02
#> 1909 b_wt -1.273720103 2.637778e-02
#> 1910 b_wt -1.267375863 2.580799e-02
#> 1911 b_wt -1.261031624 2.524129e-02
#> 1912 b_wt -1.254687385 2.467838e-02
#> 1913 b_wt -1.248343145 2.411998e-02
#> 1914 b_wt -1.241998906 2.356590e-02
#> 1915 b_wt -1.235654666 2.301649e-02
#> 1916 b_wt -1.229310427 2.247207e-02
#> 1917 b_wt -1.222966188 2.193296e-02
#> 1918 b_wt -1.216621948 2.139984e-02
#> 1919 b_wt -1.210277709 2.087389e-02
#> 1920 b_wt -1.203933469 2.035438e-02
#> 1921 b_wt -1.197589230 1.984159e-02
#> 1922 b_wt -1.191244990 1.933578e-02
#> 1923 b_wt -1.184900751 1.883724e-02
#> 1924 b_wt -1.178556512 1.834636e-02
#> 1925 b_wt -1.172212272 1.786505e-02
#> 1926 b_wt -1.165868033 1.739186e-02
#> 1927 b_wt -1.159523793 1.692701e-02
#> 1928 b_wt -1.153179554 1.647068e-02
#> 1929 b_wt -1.146835315 1.602306e-02
#> 1930 b_wt -1.140491075 1.558433e-02
#> 1931 b_wt -1.134146836 1.515673e-02
#> 1932 b_wt -1.127802596 1.473855e-02
#> 1933 b_wt -1.121458357 1.432977e-02
#> 1934 b_wt -1.115114117 1.393048e-02
#> 1935 b_wt -1.108769878 1.354079e-02
#> 1936 b_wt -1.102425639 1.316077e-02
#> 1937 b_wt -1.096081399 1.279237e-02
#> 1938 b_wt -1.089737160 1.243430e-02
#> 1939 b_wt -1.083392920 1.208608e-02
#> 1940 b_wt -1.077048681 1.174772e-02
#> 1941 b_wt -1.070704442 1.141924e-02
#> 1942 b_wt -1.064360202 1.110062e-02
#> 1943 b_wt -1.058015963 1.079333e-02
#> 1944 b_wt -1.051671723 1.049666e-02
#> 1945 b_wt -1.045327484 1.020968e-02
#> 1946 b_wt -1.038983244 9.932323e-03
#> 1947 b_wt -1.032639005 9.664488e-03
#> 1948 b_wt -1.026294766 9.406076e-03
#> 1949 b_wt -1.019950526 9.158038e-03
#> 1950 b_wt -1.013606287 8.920240e-03
#> 1951 b_wt -1.007262047 8.691378e-03
#> 1952 b_wt -1.000917808 8.471290e-03
#> 1953 b_wt -0.994573569 8.259803e-03
#> 1954 b_wt -0.988229329 8.056733e-03
#> 1955 b_wt -0.981885090 7.862535e-03
#> 1956 b_wt -0.975540850 7.677537e-03
#> 1957 b_wt -0.969196611 7.500211e-03
#> 1958 b_wt -0.962852371 7.330330e-03
#> 1959 b_wt -0.956508132 7.167661e-03
#> 1960 b_wt -0.950163893 7.011967e-03
#> 1961 b_wt -0.943819653 6.863293e-03
#> 1962 b_wt -0.937475414 6.722259e-03
#> 1963 b_wt -0.931131174 6.587294e-03
#> 1964 b_wt -0.924786935 6.458140e-03
#> 1965 b_wt -0.918442696 6.334540e-03
#> 1966 b_wt -0.912098456 6.216233e-03
#> 1967 b_wt -0.905754217 6.103004e-03
#> 1968 b_wt -0.899409977 5.995553e-03
#> 1969 b_wt -0.893065738 5.892459e-03
#> 1970 b_wt -0.886721498 5.793470e-03
#> 1971 b_wt -0.880377259 5.698336e-03
#> 1972 b_wt -0.874033020 5.606812e-03
#> 1973 b_wt -0.867688780 5.518658e-03
#> 1974 b_wt -0.861344541 5.434230e-03
#> 1975 b_wt -0.855000301 5.352649e-03
#> 1976 b_wt -0.848656062 5.273614e-03
#> 1977 b_wt -0.842311823 5.196916e-03
#> 1978 b_wt -0.835967583 5.122353e-03
#> 1979 b_wt -0.829623344 5.049727e-03
#> 1980 b_wt -0.823279104 4.979115e-03
#> 1981 b_wt -0.816934865 4.910074e-03
#> 1982 b_wt -0.810590625 4.842337e-03
#> 1983 b_wt -0.804246386 4.775748e-03
#> 1984 b_wt -0.797902147 4.710164e-03
#> 1985 b_wt -0.791557907 4.645446e-03
#> 1986 b_wt -0.785213668 4.581546e-03
#> 1987 b_wt -0.778869428 4.518268e-03
#> 1988 b_wt -0.772525189 4.455440e-03
#> 1989 b_wt -0.766180950 4.392969e-03
#> 1990 b_wt -0.759836710 4.330770e-03
#> 1991 b_wt -0.753492471 4.268765e-03
#> 1992 b_wt -0.747148231 4.206889e-03
#> 1993 b_wt -0.740803992 4.145060e-03
#> 1994 b_wt -0.734459752 4.083217e-03
#> 1995 b_wt -0.728115513 4.021321e-03
#> 1996 b_wt -0.721771274 3.959341e-03
#> 1997 b_wt -0.715427034 3.897251e-03
#> 1998 b_wt -0.709082795 3.835020e-03
#> 1999 b_wt -0.702738555 3.772621e-03
#> 2000 b_wt -0.696394316 3.710075e-03
#> 2001 b_wt -0.690050077 3.647385e-03
#> 2002 b_wt -0.683705837 3.584560e-03
#> 2003 b_wt -0.677361598 3.521614e-03
#> 2004 b_wt -0.671017358 3.458562e-03
#> 2005 b_wt -0.664673119 3.395420e-03
#> 2006 b_wt -0.658328879 3.332242e-03
#> 2007 b_wt -0.651984640 3.269057e-03
#> 2008 b_wt -0.645640401 3.205901e-03
#> 2009 b_wt -0.639296161 3.142810e-03
#> 2010 b_wt -0.632951922 3.079823e-03
#> 2011 b_wt -0.626607682 3.017031e-03
#> 2012 b_wt -0.620263443 2.954455e-03
#> 2013 b_wt -0.613919204 2.892138e-03
#> 2014 b_wt -0.607574964 2.830124e-03
#> 2015 b_wt -0.601230725 2.768458e-03
#> 2016 b_wt -0.594886485 2.707186e-03
#> 2017 b_wt -0.588542246 2.646454e-03
#> 2018 b_wt -0.582198007 2.586248e-03
#> 2019 b_wt -0.575853767 2.526593e-03
#> 2020 b_wt -0.569509528 2.467529e-03
#> 2021 b_wt -0.563165288 2.409095e-03
#> 2022 b_wt -0.556821049 2.351327e-03
#> 2023 b_wt -0.550476809 2.294388e-03
#> 2024 b_wt -0.544132570 2.238255e-03
#> 2025 b_wt -0.537788331 2.182905e-03
#> 2026 b_wt -0.531444091 2.128361e-03
#> 2027 b_wt -0.525099852 2.074648e-03
#> 2028 b_wt -0.518755612 2.021785e-03
#> 2029 b_wt -0.512411373 1.969906e-03
#> 2030 b_wt -0.506067134 1.919010e-03
#> 2031 b_wt -0.499722894 1.869011e-03
#> 2032 b_wt -0.493378655 1.819914e-03
#> 2033 b_wt -0.487034415 1.771721e-03
#> 2034 b_wt -0.480690176 1.724433e-03
#> 2035 b_wt -0.474345936 1.678131e-03
#> 2036 b_wt -0.468001697 1.632853e-03
#> 2037 b_wt -0.461657458 1.588457e-03
#> 2038 b_wt -0.455313218 1.544929e-03
#> 2039 b_wt -0.448968979 1.502258e-03
#> 2040 b_wt -0.442624739 1.460427e-03
#> 2041 b_wt -0.436280500 1.419465e-03
#> 2042 b_wt -0.429936261 1.379446e-03
#> 2043 b_wt -0.423592021 1.340197e-03
#> 2044 b_wt -0.417247782 1.301700e-03
#> 2045 b_wt -0.410903542 1.263931e-03
#> 2046 b_wt -0.404559303 1.226869e-03
#> 2047 b_wt -0.398215063 1.190508e-03
#> 2048 b_wt -0.391870824 1.154946e-03
#> 2049 b_cyl -3.179600735 1.304231e-03
#> 2050 b_cyl -3.176131314 1.317718e-03
#> 2051 b_cyl -3.172661893 1.330586e-03
#> 2052 b_cyl -3.169192471 1.342903e-03
#> 2053 b_cyl -3.165723050 1.354751e-03
#> 2054 b_cyl -3.162253628 1.366345e-03
#> 2055 b_cyl -3.158784207 1.377810e-03
#> 2056 b_cyl -3.155314786 1.389275e-03
#> 2057 b_cyl -3.151845364 1.400880e-03
#> 2058 b_cyl -3.148375943 1.412770e-03
#> 2059 b_cyl -3.144906521 1.425262e-03
#> 2060 b_cyl -3.141437100 1.438453e-03
#> 2061 b_cyl -3.137967679 1.452509e-03
#> 2062 b_cyl -3.134498257 1.467603e-03
#> 2063 b_cyl -3.131028836 1.483906e-03
#> 2064 b_cyl -3.127559414 1.501593e-03
#> 2065 b_cyl -3.124089993 1.521188e-03
#> 2066 b_cyl -3.120620572 1.542707e-03
#> 2067 b_cyl -3.117151150 1.566243e-03
#> 2068 b_cyl -3.113681729 1.591967e-03
#> 2069 b_cyl -3.110212307 1.620045e-03
#> 2070 b_cyl -3.106742886 1.650638e-03
#> 2071 b_cyl -3.103273465 1.684309e-03
#> 2072 b_cyl -3.099804043 1.721149e-03
#> 2073 b_cyl -3.096334622 1.761029e-03
#> 2074 b_cyl -3.092865200 1.804071e-03
#> 2075 b_cyl -3.089395779 1.850390e-03
#> 2076 b_cyl -3.085926358 1.900090e-03
#> 2077 b_cyl -3.082456936 1.953595e-03
#> 2078 b_cyl -3.078987515 2.011202e-03
#> 2079 b_cyl -3.075518093 2.072457e-03
#> 2080 b_cyl -3.072048672 2.137403e-03
#> 2081 b_cyl -3.068579251 2.206066e-03
#> 2082 b_cyl -3.065109829 2.278462e-03
#> 2083 b_cyl -3.061640408 2.354756e-03
#> 2084 b_cyl -3.058170986 2.435477e-03
#> 2085 b_cyl -3.054701565 2.519861e-03
#> 2086 b_cyl -3.051232144 2.607849e-03
#> 2087 b_cyl -3.047762722 2.699375e-03
#> 2088 b_cyl -3.044293301 2.794357e-03
#> 2089 b_cyl -3.040823879 2.892702e-03
#> 2090 b_cyl -3.037354458 2.995020e-03
#> 2091 b_cyl -3.033885037 3.100409e-03
#> 2092 b_cyl -3.030415615 3.208715e-03
#> 2093 b_cyl -3.026946194 3.319791e-03
#> 2094 b_cyl -3.023476772 3.433482e-03
#> 2095 b_cyl -3.020007351 3.549627e-03
#> 2096 b_cyl -3.016537930 3.668426e-03
#> 2097 b_cyl -3.013068508 3.789338e-03
#> 2098 b_cyl -3.009599087 3.912062e-03
#> 2099 b_cyl -3.006129665 4.036413e-03
#> 2100 b_cyl -3.002660244 4.162204e-03
#> 2101 b_cyl -2.999190823 4.289249e-03
#> 2102 b_cyl -2.995721401 4.417469e-03
#> 2103 b_cyl -2.992251980 4.546565e-03
#> 2104 b_cyl -2.988782558 4.676252e-03
#> 2105 b_cyl -2.985313137 4.806360e-03
#> 2106 b_cyl -2.981843716 4.936719e-03
#> 2107 b_cyl -2.978374294 5.067169e-03
#> 2108 b_cyl -2.974904873 5.197530e-03
#> 2109 b_cyl -2.971435451 5.327581e-03
#> 2110 b_cyl -2.967966030 5.457205e-03
#> 2111 b_cyl -2.964496609 5.586281e-03
#> 2112 b_cyl -2.961027187 5.714698e-03
#> 2113 b_cyl -2.957557766 5.842354e-03
#> 2114 b_cyl -2.954088344 5.969116e-03
#> 2115 b_cyl -2.950618923 6.094726e-03
#> 2116 b_cyl -2.947149502 6.219291e-03
#> 2117 b_cyl -2.943680080 6.342758e-03
#> 2118 b_cyl -2.940210659 6.465083e-03
#> 2119 b_cyl -2.936741238 6.586229e-03
#> 2120 b_cyl -2.933271816 6.706169e-03
#> 2121 b_cyl -2.929802395 6.824598e-03
#> 2122 b_cyl -2.926332973 6.941778e-03
#> 2123 b_cyl -2.922863552 7.057719e-03
#> 2124 b_cyl -2.919394131 7.172430e-03
#> 2125 b_cyl -2.915924709 7.285920e-03
#> 2126 b_cyl -2.912455288 7.398206e-03
#> 2127 b_cyl -2.908985866 7.509099e-03
#> 2128 b_cyl -2.905516445 7.618777e-03
#> 2129 b_cyl -2.902047024 7.727335e-03
#> 2130 b_cyl -2.898577602 7.834802e-03
#> 2131 b_cyl -2.895108181 7.941205e-03
#> 2132 b_cyl -2.891638759 8.046577e-03
#> 2133 b_cyl -2.888169338 8.150819e-03
#> 2134 b_cyl -2.884699917 8.254001e-03
#> 2135 b_cyl -2.881230495 8.356261e-03
#> 2136 b_cyl -2.877761074 8.457626e-03
#> 2137 b_cyl -2.874291652 8.558128e-03
#> 2138 b_cyl -2.870822231 8.657796e-03
#> 2139 b_cyl -2.867352810 8.756597e-03
#> 2140 b_cyl -2.863883388 8.854524e-03
#> 2141 b_cyl -2.860413967 8.951734e-03
#> 2142 b_cyl -2.856944545 9.048265e-03
#> 2143 b_cyl -2.853475124 9.144158e-03
#> 2144 b_cyl -2.850005703 9.239457e-03
#> 2145 b_cyl -2.846536281 9.334193e-03
#> 2146 b_cyl -2.843066860 9.428365e-03
#> 2147 b_cyl -2.839597438 9.522153e-03
#> 2148 b_cyl -2.836128017 9.615632e-03
#> 2149 b_cyl -2.832658596 9.708889e-03
#> 2150 b_cyl -2.829189174 9.802018e-03
#> 2151 b_cyl -2.825719753 9.895124e-03
#> 2152 b_cyl -2.822250331 9.988394e-03
#> 2153 b_cyl -2.818780910 1.008198e-02
#> 2154 b_cyl -2.815311489 1.017604e-02
#> 2155 b_cyl -2.811842067 1.027074e-02
#> 2156 b_cyl -2.808372646 1.036627e-02
#> 2157 b_cyl -2.804903224 1.046282e-02
#> 2158 b_cyl -2.801433803 1.056089e-02
#> 2159 b_cyl -2.797964382 1.066065e-02
#> 2160 b_cyl -2.794494960 1.076229e-02
#> 2161 b_cyl -2.791025539 1.086609e-02
#> 2162 b_cyl -2.787556117 1.097232e-02
#> 2163 b_cyl -2.784086696 1.108128e-02
#> 2164 b_cyl -2.780617275 1.119375e-02
#> 2165 b_cyl -2.777147853 1.131015e-02
#> 2166 b_cyl -2.773678432 1.143049e-02
#> 2167 b_cyl -2.770209010 1.155512e-02
#> 2168 b_cyl -2.766739589 1.168442e-02
#> 2169 b_cyl -2.763270168 1.181876e-02
#> 2170 b_cyl -2.759800746 1.195900e-02
#> 2171 b_cyl -2.756331325 1.210616e-02
#> 2172 b_cyl -2.752861903 1.225977e-02
#> 2173 b_cyl -2.749392482 1.242023e-02
#> 2174 b_cyl -2.745923061 1.258794e-02
#> 2175 b_cyl -2.742453639 1.276329e-02
#> 2176 b_cyl -2.738984218 1.294694e-02
#> 2177 b_cyl -2.735514796 1.314092e-02
#> 2178 b_cyl -2.732045375 1.334396e-02
#> 2179 b_cyl -2.728575954 1.355641e-02
#> 2180 b_cyl -2.725106532 1.377865e-02
#> 2181 b_cyl -2.721637111 1.401104e-02
#> 2182 b_cyl -2.718167689 1.425391e-02
#> 2183 b_cyl -2.714698268 1.451009e-02
#> 2184 b_cyl -2.711228847 1.477780e-02
#> 2185 b_cyl -2.707759425 1.505714e-02
#> 2186 b_cyl -2.704290004 1.534838e-02
#> 2187 b_cyl -2.700820582 1.565180e-02
#> 2188 b_cyl -2.697351161 1.596764e-02
#> 2189 b_cyl -2.693881740 1.629837e-02
#> 2190 b_cyl -2.690412318 1.664293e-02
#> 2191 b_cyl -2.686942897 1.700068e-02
#> 2192 b_cyl -2.683473475 1.737176e-02
#> 2193 b_cyl -2.680004054 1.775634e-02
#> 2194 b_cyl -2.676534633 1.815454e-02
#> 2195 b_cyl -2.673065211 1.856819e-02
#> 2196 b_cyl -2.669595790 1.899729e-02
#> 2197 b_cyl -2.666126368 1.944032e-02
#> 2198 b_cyl -2.662656947 1.989732e-02
#> 2199 b_cyl -2.659187526 2.036832e-02
#> 2200 b_cyl -2.655718104 2.085332e-02
#> 2201 b_cyl -2.652248683 2.135336e-02
#> 2202 b_cyl -2.648779261 2.186961e-02
#> 2203 b_cyl -2.645309840 2.239973e-02
#> 2204 b_cyl -2.641840419 2.294364e-02
#> 2205 b_cyl -2.638370997 2.350125e-02
#> 2206 b_cyl -2.634901576 2.407246e-02
#> 2207 b_cyl -2.631432154 2.465749e-02
#> 2208 b_cyl -2.627962733 2.525862e-02
#> 2209 b_cyl -2.624493312 2.587283e-02
#> 2210 b_cyl -2.621023890 2.649997e-02
#> 2211 b_cyl -2.617554469 2.713985e-02
#> 2212 b_cyl -2.614085047 2.779228e-02
#> 2213 b_cyl -2.610615626 2.845707e-02
#> 2214 b_cyl -2.607146205 2.913657e-02
#> 2215 b_cyl -2.603676783 2.982816e-02
#> 2216 b_cyl -2.600207362 3.053136e-02
#> 2217 b_cyl -2.596737940 3.124595e-02
#> 2218 b_cyl -2.593268519 3.197173e-02
#> 2219 b_cyl -2.589799098 3.270848e-02
#> 2220 b_cyl -2.586329676 3.345776e-02
#> 2221 b_cyl -2.582860255 3.421825e-02
#> 2222 b_cyl -2.579390833 3.498901e-02
#> 2223 b_cyl -2.575921412 3.576988e-02
#> 2224 b_cyl -2.572451991 3.656070e-02
#> 2225 b_cyl -2.568982569 3.736132e-02
#> 2226 b_cyl -2.565513148 3.817275e-02
#> 2227 b_cyl -2.562043726 3.899485e-02
#> 2228 b_cyl -2.558574305 3.982639e-02
#> 2229 b_cyl -2.555104884 4.066734e-02
#> 2230 b_cyl -2.551635462 4.151768e-02
#> 2231 b_cyl -2.548166041 4.237740e-02
#> 2232 b_cyl -2.544696619 4.324720e-02
#> 2233 b_cyl -2.541227198 4.412810e-02
#> 2234 b_cyl -2.537757777 4.501864e-02
#> 2235 b_cyl -2.534288355 4.591895e-02
#> 2236 b_cyl -2.530818934 4.682921e-02
#> 2237 b_cyl -2.527349512 4.774962e-02
#> 2238 b_cyl -2.523880091 4.868062e-02
#> 2239 b_cyl -2.520410670 4.962467e-02
#> 2240 b_cyl -2.516941248 5.057983e-02
#> 2241 b_cyl -2.513471827 5.154644e-02
#> 2242 b_cyl -2.510002405 5.252486e-02
#> 2243 b_cyl -2.506532984 5.351548e-02
#> 2244 b_cyl -2.503063563 5.451870e-02
#> 2245 b_cyl -2.499594141 5.553787e-02
#> 2246 b_cyl -2.496124720 5.657118e-02
#> 2247 b_cyl -2.492655298 5.761875e-02
#> 2248 b_cyl -2.489185877 5.868109e-02
#> 2249 b_cyl -2.485716456 5.975871e-02
#> 2250 b_cyl -2.482247034 6.085212e-02
#> 2251 b_cyl -2.478777613 6.196464e-02
#> 2252 b_cyl -2.475308191 6.309559e-02
#> 2253 b_cyl -2.471838770 6.424426e-02
#> 2254 b_cyl -2.468369349 6.541119e-02
#> 2255 b_cyl -2.464899927 6.659691e-02
#> 2256 b_cyl -2.461430506 6.780195e-02
#> 2257 b_cyl -2.457961084 6.902918e-02
#> 2258 b_cyl -2.454491663 7.027953e-02
#> 2259 b_cyl -2.451022242 7.155104e-02
#> 2260 b_cyl -2.447552820 7.284416e-02
#> 2261 b_cyl -2.444083399 7.415937e-02
#> 2262 b_cyl -2.440613977 7.549711e-02
#> 2263 b_cyl -2.437144556 7.685937e-02
#> 2264 b_cyl -2.433675135 7.824921e-02
#> 2265 b_cyl -2.430205713 7.966304e-02
#> 2266 b_cyl -2.426736292 8.110124e-02
#> 2267 b_cyl -2.423266870 8.256415e-02
#> 2268 b_cyl -2.419797449 8.405209e-02
#> 2269 b_cyl -2.416328028 8.556583e-02
#> 2270 b_cyl -2.412858606 8.711099e-02
#> 2271 b_cyl -2.409389185 8.868225e-02
#> 2272 b_cyl -2.405919763 9.027985e-02
#> 2273 b_cyl -2.402450342 9.190405e-02
#> 2274 b_cyl -2.398980921 9.355508e-02
#> 2275 b_cyl -2.395511499 9.523318e-02
#> 2276 b_cyl -2.392042078 9.694428e-02
#> 2277 b_cyl -2.388572656 9.868387e-02
#> 2278 b_cyl -2.385103235 1.004513e-01
#> 2279 b_cyl -2.381633814 1.022468e-01
#> 2280 b_cyl -2.378164392 1.040705e-01
#> 2281 b_cyl -2.374694971 1.059227e-01
#> 2282 b_cyl -2.371225549 1.078083e-01
#> 2283 b_cyl -2.367756128 1.097251e-01
#> 2284 b_cyl -2.364286707 1.116713e-01
#> 2285 b_cyl -2.360817285 1.136470e-01
#> 2286 b_cyl -2.357347864 1.156525e-01
#> 2287 b_cyl -2.353878442 1.176880e-01
#> 2288 b_cyl -2.350409021 1.197572e-01
#> 2289 b_cyl -2.346939600 1.218610e-01
#> 2290 b_cyl -2.343470178 1.239959e-01
#> 2291 b_cyl -2.340000757 1.261621e-01
#> 2292 b_cyl -2.336531335 1.283600e-01
#> 2293 b_cyl -2.333061914 1.305898e-01
#> 2294 b_cyl -2.329592493 1.328540e-01
#> 2295 b_cyl -2.326123071 1.351567e-01
#> 2296 b_cyl -2.322653650 1.374925e-01
#> 2297 b_cyl -2.319184228 1.398618e-01
#> 2298 b_cyl -2.315714807 1.422650e-01
#> 2299 b_cyl -2.312245386 1.447023e-01
#> 2300 b_cyl -2.308775964 1.471745e-01
#> 2301 b_cyl -2.305306543 1.496895e-01
#> 2302 b_cyl -2.301837121 1.522399e-01
#> 2303 b_cyl -2.298367700 1.548259e-01
#> 2304 b_cyl -2.294898279 1.574479e-01
#> 2305 b_cyl -2.291428857 1.601061e-01
#> 2306 b_cyl -2.287959436 1.628008e-01
#> 2307 b_cyl -2.284490014 1.655399e-01
#> 2308 b_cyl -2.281020593 1.683174e-01
#> 2309 b_cyl -2.277551172 1.711324e-01
#> 2310 b_cyl -2.274081750 1.739851e-01
#> 2311 b_cyl -2.270612329 1.768756e-01
#> 2312 b_cyl -2.267142907 1.798042e-01
#> 2313 b_cyl -2.263673486 1.827770e-01
#> 2314 b_cyl -2.260204065 1.857914e-01
#> 2315 b_cyl -2.256734643 1.888446e-01
#> 2316 b_cyl -2.253265222 1.919365e-01
#> 2317 b_cyl -2.249795800 1.950673e-01
#> 2318 b_cyl -2.246326379 1.982372e-01
#> 2319 b_cyl -2.242856958 2.014504e-01
#> 2320 b_cyl -2.239387536 2.047081e-01
#> 2321 b_cyl -2.235918115 2.080053e-01
#> 2322 b_cyl -2.232448693 2.113420e-01
#> 2323 b_cyl -2.228979272 2.147183e-01
#> 2324 b_cyl -2.225509851 2.181343e-01
#> 2325 b_cyl -2.222040429 2.215925e-01
#> 2326 b_cyl -2.218571008 2.250978e-01
#> 2327 b_cyl -2.215101586 2.286432e-01
#> 2328 b_cyl -2.211632165 2.322289e-01
#> 2329 b_cyl -2.208162744 2.358549e-01
#> 2330 b_cyl -2.204693322 2.395213e-01
#> 2331 b_cyl -2.201223901 2.432287e-01
#> 2332 b_cyl -2.197754479 2.469861e-01
#> 2333 b_cyl -2.194285058 2.507844e-01
#> 2334 b_cyl -2.190815637 2.546236e-01
#> 2335 b_cyl -2.187346215 2.585040e-01
#> 2336 b_cyl -2.183876794 2.624256e-01
#> 2337 b_cyl -2.180407372 2.663886e-01
#> 2338 b_cyl -2.176937951 2.704011e-01
#> 2339 b_cyl -2.173468530 2.744568e-01
#> 2340 b_cyl -2.169999108 2.785540e-01
#> 2341 b_cyl -2.166529687 2.826927e-01
#> 2342 b_cyl -2.163060265 2.868729e-01
#> 2343 b_cyl -2.159590844 2.910945e-01
#> 2344 b_cyl -2.156121423 2.953635e-01
#> 2345 b_cyl -2.152652001 2.996772e-01
#> 2346 b_cyl -2.149182580 3.040317e-01
#> 2347 b_cyl -2.145713158 3.084266e-01
#> 2348 b_cyl -2.142243737 3.128616e-01
#> 2349 b_cyl -2.138774316 3.173363e-01
#> 2350 b_cyl -2.135304894 3.218539e-01
#> 2351 b_cyl -2.131835473 3.264149e-01
#> 2352 b_cyl -2.128366051 3.310133e-01
#> 2353 b_cyl -2.124896630 3.356482e-01
#> 2354 b_cyl -2.121427209 3.403187e-01
#> 2355 b_cyl -2.117957787 3.450238e-01
#> 2356 b_cyl -2.114488366 3.497640e-01
#> 2357 b_cyl -2.111018944 3.545418e-01
#> 2358 b_cyl -2.107549523 3.593498e-01
#> 2359 b_cyl -2.104080102 3.641863e-01
#> 2360 b_cyl -2.100610680 3.690498e-01
#> 2361 b_cyl -2.097141259 3.739386e-01
#> 2362 b_cyl -2.093671837 3.788511e-01
#> 2363 b_cyl -2.090202416 3.837897e-01
#> 2364 b_cyl -2.086732995 3.887468e-01
#> 2365 b_cyl -2.083263573 3.937204e-01
#> 2366 b_cyl -2.079794152 3.987082e-01
#> 2367 b_cyl -2.076324730 4.037080e-01
#> 2368 b_cyl -2.072855309 4.087177e-01
#> 2369 b_cyl -2.069385888 4.137355e-01
#> 2370 b_cyl -2.065916466 4.187571e-01
#> 2371 b_cyl -2.062447045 4.237799e-01
#> 2372 b_cyl -2.058977623 4.288012e-01
#> 2373 b_cyl -2.055508202 4.338186e-01
#> 2374 b_cyl -2.052038781 4.388295e-01
#> 2375 b_cyl -2.048569359 4.438297e-01
#> 2376 b_cyl -2.045099938 4.488161e-01
#> 2377 b_cyl -2.041630516 4.537870e-01
#> 2378 b_cyl -2.038161095 4.587400e-01
#> 2379 b_cyl -2.034691674 4.636727e-01
#> 2380 b_cyl -2.031222252 4.685828e-01
#> 2381 b_cyl -2.027752831 4.734652e-01
#> 2382 b_cyl -2.024283409 4.783155e-01
#> 2383 b_cyl -2.020813988 4.831352e-01
#> 2384 b_cyl -2.017344567 4.879223e-01
#> 2385 b_cyl -2.013875145 4.926748e-01
#> 2386 b_cyl -2.010405724 4.973909e-01
#> 2387 b_cyl -2.006936302 5.020669e-01
#> 2388 b_cyl -2.003466881 5.066949e-01
#> 2389 b_cyl -1.999997460 5.112807e-01
#> 2390 b_cyl -1.996528038 5.158229e-01
#> 2391 b_cyl -1.993058617 5.203204e-01
#> 2392 b_cyl -1.989589195 5.247720e-01
#> 2393 b_cyl -1.986119774 5.291767e-01
#> 2394 b_cyl -1.982650353 5.335220e-01
#> 2395 b_cyl -1.979180931 5.378185e-01
#> 2396 b_cyl -1.975711510 5.420655e-01
#> 2397 b_cyl -1.972242088 5.462626e-01
#> 2398 b_cyl -1.968772667 5.504096e-01
#> 2399 b_cyl -1.965303246 5.545063e-01
#> 2400 b_cyl -1.961833824 5.585429e-01
#> 2401 b_cyl -1.958364403 5.625268e-01
#> 2402 b_cyl -1.954894981 5.664606e-01
#> 2403 b_cyl -1.951425560 5.703446e-01
#> 2404 b_cyl -1.947956139 5.741794e-01
#> 2405 b_cyl -1.944486717 5.779654e-01
#> 2406 b_cyl -1.941017296 5.816967e-01
#> 2407 b_cyl -1.937547874 5.853766e-01
#> 2408 b_cyl -1.934078453 5.890105e-01
#> 2409 b_cyl -1.930609032 5.925996e-01
#> 2410 b_cyl -1.927139610 5.961450e-01
#> 2411 b_cyl -1.923670189 5.996478e-01
#> 2412 b_cyl -1.920200767 6.031057e-01
#> 2413 b_cyl -1.916731346 6.065188e-01
#> 2414 b_cyl -1.913261925 6.098943e-01
#> 2415 b_cyl -1.909792503 6.132341e-01
#> 2416 b_cyl -1.906323082 6.165398e-01
#> 2417 b_cyl -1.902853660 6.198132e-01
#> 2418 b_cyl -1.899384239 6.230548e-01
#> 2419 b_cyl -1.895914818 6.262632e-01
#> 2420 b_cyl -1.892445396 6.294462e-01
#> 2421 b_cyl -1.888975975 6.326059e-01
#> 2422 b_cyl -1.885506553 6.357446e-01
#> 2423 b_cyl -1.882037132 6.388643e-01
#> 2424 b_cyl -1.878567711 6.419674e-01
#> 2425 b_cyl -1.875098289 6.450535e-01
#> 2426 b_cyl -1.871628868 6.481290e-01
#> 2427 b_cyl -1.868159446 6.511962e-01
#> 2428 b_cyl -1.864690025 6.542575e-01
#> 2429 b_cyl -1.861220604 6.573153e-01
#> 2430 b_cyl -1.857751182 6.603720e-01
#> 2431 b_cyl -1.854281761 6.634307e-01
#> 2432 b_cyl -1.850812339 6.664946e-01
#> 2433 b_cyl -1.847342918 6.695659e-01
#> 2434 b_cyl -1.843873497 6.726467e-01
#> 2435 b_cyl -1.840404075 6.757393e-01
#> 2436 b_cyl -1.836934654 6.788458e-01
#> 2437 b_cyl -1.833465232 6.819709e-01
#> 2438 b_cyl -1.829995811 6.851168e-01
#> 2439 b_cyl -1.826526390 6.882836e-01
#> 2440 b_cyl -1.823056968 6.914731e-01
#> 2441 b_cyl -1.819587547 6.946868e-01
#> 2442 b_cyl -1.816118125 6.979262e-01
#> 2443 b_cyl -1.812648704 7.011952e-01
#> 2444 b_cyl -1.809179283 7.044970e-01
#> 2445 b_cyl -1.805709861 7.078285e-01
#> 2446 b_cyl -1.802240440 7.111905e-01
#> 2447 b_cyl -1.798771018 7.145834e-01
#> 2448 b_cyl -1.795301597 7.180077e-01
#> 2449 b_cyl -1.791832176 7.214650e-01
#> 2450 b_cyl -1.788362754 7.249601e-01
#> 2451 b_cyl -1.784893333 7.284864e-01
#> 2452 b_cyl -1.781423911 7.320436e-01
#> 2453 b_cyl -1.777954490 7.356310e-01
#> 2454 b_cyl -1.774485069 7.392476e-01
#> 2455 b_cyl -1.771015647 7.428926e-01
#> 2456 b_cyl -1.767546226 7.465705e-01
#> 2457 b_cyl -1.764076804 7.502735e-01
#> 2458 b_cyl -1.760607383 7.539997e-01
#> 2459 b_cyl -1.757137962 7.577474e-01
#> 2460 b_cyl -1.753668540 7.615145e-01
#> 2461 b_cyl -1.750199119 7.652990e-01
#> 2462 b_cyl -1.746729697 7.691010e-01
#> 2463 b_cyl -1.743260276 7.729153e-01
#> 2464 b_cyl -1.739790855 7.767385e-01
#> 2465 b_cyl -1.736321433 7.805682e-01
#> 2466 b_cyl -1.732852012 7.844016e-01
#> 2467 b_cyl -1.729382590 7.882361e-01
#> 2468 b_cyl -1.725913169 7.920683e-01
#> 2469 b_cyl -1.722443748 7.958940e-01
#> 2470 b_cyl -1.718974326 7.997107e-01
#> 2471 b_cyl -1.715504905 8.035157e-01
#> 2472 b_cyl -1.712035483 8.073060e-01
#> 2473 b_cyl -1.708566062 8.110790e-01
#> 2474 b_cyl -1.705096641 8.148299e-01
#> 2475 b_cyl -1.701627219 8.185532e-01
#> 2476 b_cyl -1.698157798 8.222494e-01
#> 2477 b_cyl -1.694688376 8.259161e-01
#> 2478 b_cyl -1.691218955 8.295508e-01
#> 2479 b_cyl -1.687749534 8.331511e-01
#> 2480 b_cyl -1.684280112 8.367134e-01
#> 2481 b_cyl -1.680810691 8.402282e-01
#> 2482 b_cyl -1.677341269 8.437010e-01
#> 2483 b_cyl -1.673871848 8.471300e-01
#> 2484 b_cyl -1.670402427 8.505134e-01
#> 2485 b_cyl -1.666933005 8.538496e-01
#> 2486 b_cyl -1.663463584 8.571372e-01
#> 2487 b_cyl -1.659994162 8.603629e-01
#> 2488 b_cyl -1.656524741 8.635360e-01
#> 2489 b_cyl -1.653055320 8.666560e-01
#> 2490 b_cyl -1.649585898 8.697219e-01
#> 2491 b_cyl -1.646116477 8.727330e-01
#> 2492 b_cyl -1.642647055 8.756885e-01
#> 2493 b_cyl -1.639177634 8.785776e-01
#> 2494 b_cyl -1.635708213 8.814060e-01
#> 2495 b_cyl -1.632238791 8.841767e-01
#> 2496 b_cyl -1.628769370 8.868895e-01
#> 2497 b_cyl -1.625299948 8.895439e-01
#> 2498 b_cyl -1.621830527 8.921396e-01
#> 2499 b_cyl -1.618361106 8.946688e-01
#> 2500 b_cyl -1.614891684 8.971321e-01
#> 2501 b_cyl -1.611422263 8.995359e-01
#> 2502 b_cyl -1.607952841 9.018798e-01
#> 2503 b_cyl -1.604483420 9.041636e-01
#> 2504 b_cyl -1.601013999 9.063870e-01
#> 2505 b_cyl -1.597544577 9.085449e-01
#> 2506 b_cyl -1.594075156 9.106317e-01
#> 2507 b_cyl -1.590605734 9.126566e-01
#> 2508 b_cyl -1.587136313 9.146192e-01
#> 2509 b_cyl -1.583666892 9.165187e-01
#> 2510 b_cyl -1.580197470 9.183545e-01
#> 2511 b_cyl -1.576728049 9.201238e-01
#> 2512 b_cyl -1.573258627 9.218137e-01
#> 2513 b_cyl -1.569789206 9.234367e-01
#> 2514 b_cyl -1.566319785 9.249916e-01
#> 2515 b_cyl -1.562850363 9.264771e-01
#> 2516 b_cyl -1.559380942 9.278920e-01
#> 2517 b_cyl -1.555911520 9.292350e-01
#> 2518 b_cyl -1.552442099 9.304878e-01
#> 2519 b_cyl -1.548972678 9.316634e-01
#> 2520 b_cyl -1.545503256 9.327613e-01
#> 2521 b_cyl -1.542033835 9.337799e-01
#> 2522 b_cyl -1.538564413 9.347175e-01
#> 2523 b_cyl -1.535094992 9.355723e-01
#> 2524 b_cyl -1.531625571 9.363274e-01
#> 2525 b_cyl -1.528156149 9.369893e-01
#> 2526 b_cyl -1.524686728 9.375619e-01
#> 2527 b_cyl -1.521217306 9.380433e-01
#> 2528 b_cyl -1.517747885 9.384319e-01
#> 2529 b_cyl -1.514278464 9.387259e-01
#> 2530 b_cyl -1.510809042 9.389116e-01
#> 2531 b_cyl -1.507339621 9.389877e-01
#> 2532 b_cyl -1.503870200 9.389637e-01
#> 2533 b_cyl -1.500400778 9.388386e-01
#> 2534 b_cyl -1.496931357 9.386112e-01
#> 2535 b_cyl -1.493461935 9.382804e-01
#> 2536 b_cyl -1.489992514 9.378377e-01
#> 2537 b_cyl -1.486523093 9.372730e-01
#> 2538 b_cyl -1.483053671 9.366028e-01
#> 2539 b_cyl -1.479584250 9.358271e-01
#> 2540 b_cyl -1.476114828 9.349460e-01
#> 2541 b_cyl -1.472645407 9.339596e-01
#> 2542 b_cyl -1.469175986 9.328657e-01
#> 2543 b_cyl -1.465706564 9.316461e-01
#> 2544 b_cyl -1.462237143 9.303239e-01
#> 2545 b_cyl -1.458767721 9.289004e-01
#> 2546 b_cyl -1.455298300 9.273771e-01
#> 2547 b_cyl -1.451828879 9.257557e-01
#> 2548 b_cyl -1.448359457 9.240379e-01
#> 2549 b_cyl -1.444890036 9.222062e-01
#> 2550 b_cyl -1.441420614 9.202819e-01
#> 2551 b_cyl -1.437951193 9.182695e-01
#> 2552 b_cyl -1.434481772 9.161719e-01
#> 2553 b_cyl -1.431012350 9.139917e-01
#> 2554 b_cyl -1.427542929 9.117320e-01
#> 2555 b_cyl -1.424073507 9.093837e-01
#> 2556 b_cyl -1.420604086 9.069588e-01
#> 2557 b_cyl -1.417134665 9.044659e-01
#> 2558 b_cyl -1.413665243 9.019084e-01
#> 2559 b_cyl -1.410195822 8.992897e-01
#> 2560 b_cyl -1.406726400 8.966132e-01
#> 2561 b_cyl -1.403256979 8.938765e-01
#> 2562 b_cyl -1.399787558 8.910848e-01
#> 2563 b_cyl -1.396318136 8.882477e-01
#> 2564 b_cyl -1.392848715 8.853685e-01
#> 2565 b_cyl -1.389379293 8.824507e-01
#> 2566 b_cyl -1.385909872 8.794974e-01
#> 2567 b_cyl -1.382440451 8.765097e-01
#> 2568 b_cyl -1.378971029 8.734892e-01
#> 2569 b_cyl -1.375501608 8.704439e-01
#> 2570 b_cyl -1.372032186 8.673765e-01
#> 2571 b_cyl -1.368562765 8.642896e-01
#> 2572 b_cyl -1.365093344 8.611855e-01
#> 2573 b_cyl -1.361623922 8.580662e-01
#> 2574 b_cyl -1.358154501 8.549321e-01
#> 2575 b_cyl -1.354685079 8.517881e-01
#> 2576 b_cyl -1.351215658 8.486357e-01
#> 2577 b_cyl -1.347746237 8.454765e-01
#> 2578 b_cyl -1.344276815 8.423116e-01
#> 2579 b_cyl -1.340807394 8.391421e-01
#> 2580 b_cyl -1.337337972 8.359684e-01
#> 2581 b_cyl -1.333868551 8.327921e-01
#> 2582 b_cyl -1.330399130 8.296135e-01
#> 2583 b_cyl -1.326929708 8.264330e-01
#> 2584 b_cyl -1.323460287 8.232507e-01
#> 2585 b_cyl -1.319990865 8.200666e-01
#> 2586 b_cyl -1.316521444 8.168801e-01
#> 2587 b_cyl -1.313052023 8.136908e-01
#> 2588 b_cyl -1.309582601 8.104985e-01
#> 2589 b_cyl -1.306113180 8.073023e-01
#> 2590 b_cyl -1.302643758 8.041017e-01
#> 2591 b_cyl -1.299174337 8.008956e-01
#> 2592 b_cyl -1.295704916 7.976824e-01
#> 2593 b_cyl -1.292235494 7.944604e-01
#> 2594 b_cyl -1.288766073 7.912293e-01
#> 2595 b_cyl -1.285296651 7.879879e-01
#> 2596 b_cyl -1.281827230 7.847349e-01
#> 2597 b_cyl -1.278357809 7.814691e-01
#> 2598 b_cyl -1.274888387 7.781882e-01
#> 2599 b_cyl -1.271418966 7.748886e-01
#> 2600 b_cyl -1.267949544 7.715715e-01
#> 2601 b_cyl -1.264480123 7.682356e-01
#> 2602 b_cyl -1.261010702 7.648794e-01
#> 2603 b_cyl -1.257541280 7.615018e-01
#> 2604 b_cyl -1.254071859 7.581011e-01
#> 2605 b_cyl -1.250602437 7.546706e-01
#> 2606 b_cyl -1.247133016 7.512143e-01
#> 2607 b_cyl -1.243663595 7.477311e-01
#> 2608 b_cyl -1.240194173 7.442199e-01
#> 2609 b_cyl -1.236724752 7.406797e-01
#> 2610 b_cyl -1.233255330 7.371096e-01
#> 2611 b_cyl -1.229785909 7.335020e-01
#> 2612 b_cyl -1.226316488 7.298616e-01
#> 2613 b_cyl -1.222847066 7.261885e-01
#> 2614 b_cyl -1.219377645 7.224822e-01
#> 2615 b_cyl -1.215908223 7.187423e-01
#> 2616 b_cyl -1.212438802 7.149683e-01
#> 2617 b_cyl -1.208969381 7.111544e-01
#> 2618 b_cyl -1.205499959 7.073032e-01
#> 2619 b_cyl -1.202030538 7.034172e-01
#> 2620 b_cyl -1.198561116 6.994965e-01
#> 2621 b_cyl -1.195091695 6.955413e-01
#> 2622 b_cyl -1.191622274 6.915518e-01
#> 2623 b_cyl -1.188152852 6.875246e-01
#> 2624 b_cyl -1.184683431 6.834597e-01
#> 2625 b_cyl -1.181214009 6.793620e-01
#> 2626 b_cyl -1.177744588 6.752323e-01
#> 2627 b_cyl -1.174275167 6.710711e-01
#> 2628 b_cyl -1.170805745 6.668794e-01
#> 2629 b_cyl -1.167336324 6.626563e-01
#> 2630 b_cyl -1.163866902 6.583999e-01
#> 2631 b_cyl -1.160397481 6.541165e-01
#> 2632 b_cyl -1.156928060 6.498074e-01
#> 2633 b_cyl -1.153458638 6.454737e-01
#> 2634 b_cyl -1.149989217 6.411168e-01
#> 2635 b_cyl -1.146519795 6.367378e-01
#> 2636 b_cyl -1.143050374 6.323343e-01
#> 2637 b_cyl -1.139580953 6.279128e-01
#> 2638 b_cyl -1.136111531 6.234749e-01
#> 2639 b_cyl -1.132642110 6.190221e-01
#> 2640 b_cyl -1.129172688 6.145560e-01
#> 2641 b_cyl -1.125703267 6.100785e-01
#> 2642 b_cyl -1.122233846 6.055897e-01
#> 2643 b_cyl -1.118764424 6.010935e-01
#> 2644 b_cyl -1.115295003 5.965921e-01
#> 2645 b_cyl -1.111825581 5.920873e-01
#> 2646 b_cyl -1.108356160 5.875809e-01
#> 2647 b_cyl -1.104886739 5.830745e-01
#> 2648 b_cyl -1.101417317 5.785709e-01
#> 2649 b_cyl -1.097947896 5.740723e-01
#> 2650 b_cyl -1.094478474 5.695805e-01
#> 2651 b_cyl -1.091009053 5.650970e-01
#> 2652 b_cyl -1.087539632 5.606237e-01
#> 2653 b_cyl -1.084070210 5.561624e-01
#> 2654 b_cyl -1.080600789 5.517163e-01
#> 2655 b_cyl -1.077131367 5.472885e-01
#> 2656 b_cyl -1.073661946 5.428785e-01
#> 2657 b_cyl -1.070192525 5.384880e-01
#> 2658 b_cyl -1.066723103 5.341186e-01
#> 2659 b_cyl -1.063253682 5.297715e-01
#> 2660 b_cyl -1.059784260 5.254498e-01
#> 2661 b_cyl -1.056314839 5.211584e-01
#> 2662 b_cyl -1.052845418 5.168943e-01
#> 2663 b_cyl -1.049375996 5.126585e-01
#> 2664 b_cyl -1.045906575 5.084522e-01
#> 2665 b_cyl -1.042437153 5.042764e-01
#> 2666 b_cyl -1.038967732 5.001322e-01
#> 2667 b_cyl -1.035498311 4.960280e-01
#> 2668 b_cyl -1.032028889 4.919571e-01
#> 2669 b_cyl -1.028559468 4.879203e-01
#> 2670 b_cyl -1.025090046 4.839179e-01
#> 2671 b_cyl -1.021620625 4.799504e-01
#> 2672 b_cyl -1.018151204 4.760182e-01
#> 2673 b_cyl -1.014681782 4.721284e-01
#> 2674 b_cyl -1.011212361 4.682756e-01
#> 2675 b_cyl -1.007742939 4.644584e-01
#> 2676 b_cyl -1.004273518 4.606764e-01
#> 2677 b_cyl -1.000804097 4.569296e-01
#> 2678 b_cyl -0.997334675 4.532176e-01
#> 2679 b_cyl -0.993865254 4.495450e-01
#> 2680 b_cyl -0.990395832 4.459088e-01
#> 2681 b_cyl -0.986926411 4.423054e-01
#> 2682 b_cyl -0.983456990 4.387341e-01
#> 2683 b_cyl -0.979987568 4.351939e-01
#> 2684 b_cyl -0.976518147 4.316841e-01
#> 2685 b_cyl -0.973048725 4.282063e-01
#> 2686 b_cyl -0.969579304 4.247601e-01
#> 2687 b_cyl -0.966109883 4.213404e-01
#> 2688 b_cyl -0.962640461 4.179458e-01
#> 2689 b_cyl -0.959171040 4.145752e-01
#> 2690 b_cyl -0.955701618 4.112273e-01
#> 2691 b_cyl -0.952232197 4.079018e-01
#> 2692 b_cyl -0.948762776 4.045993e-01
#> 2693 b_cyl -0.945293354 4.013145e-01
#> 2694 b_cyl -0.941823933 3.980460e-01
#> 2695 b_cyl -0.938354511 3.947924e-01
#> 2696 b_cyl -0.934885090 3.915523e-01
#> 2697 b_cyl -0.931415669 3.883242e-01
#> 2698 b_cyl -0.927946247 3.851086e-01
#> 2699 b_cyl -0.924476826 3.819013e-01
#> 2700 b_cyl -0.921007404 3.787010e-01
#> 2701 b_cyl -0.917537983 3.755062e-01
#> 2702 b_cyl -0.914068562 3.723156e-01
#> 2703 b_cyl -0.910599140 3.691279e-01
#> 2704 b_cyl -0.907129719 3.659419e-01
#> 2705 b_cyl -0.903660297 3.627555e-01
#> 2706 b_cyl -0.900190876 3.595677e-01
#> 2707 b_cyl -0.896721455 3.563773e-01
#> 2708 b_cyl -0.893252033 3.531833e-01
#> 2709 b_cyl -0.889782612 3.499845e-01
#> 2710 b_cyl -0.886313190 3.467792e-01
#> 2711 b_cyl -0.882843769 3.435662e-01
#> 2712 b_cyl -0.879374348 3.403453e-01
#> 2713 b_cyl -0.875904926 3.371157e-01
#> 2714 b_cyl -0.872435505 3.338769e-01
#> 2715 b_cyl -0.868966083 3.306280e-01
#> 2716 b_cyl -0.865496662 3.273675e-01
#> 2717 b_cyl -0.862027241 3.240940e-01
#> 2718 b_cyl -0.858557819 3.208088e-01
#> 2719 b_cyl -0.855088398 3.175115e-01
#> 2720 b_cyl -0.851618976 3.142018e-01
#> 2721 b_cyl -0.848149555 3.108795e-01
#> 2722 b_cyl -0.844680134 3.075438e-01
#> 2723 b_cyl -0.841210712 3.041927e-01
#> 2724 b_cyl -0.837741291 3.008289e-01
#> 2725 b_cyl -0.834271869 2.974524e-01
#> 2726 b_cyl -0.830802448 2.940634e-01
#> 2727 b_cyl -0.827333027 2.906622e-01
#> 2728 b_cyl -0.823863605 2.872491e-01
#> 2729 b_cyl -0.820394184 2.838220e-01
#> 2730 b_cyl -0.816924762 2.803842e-01
#> 2731 b_cyl -0.813455341 2.769365e-01
#> 2732 b_cyl -0.809985920 2.734796e-01
#> 2733 b_cyl -0.806516498 2.700143e-01
#> 2734 b_cyl -0.803047077 2.665414e-01
#> 2735 b_cyl -0.799577655 2.630610e-01
#> 2736 b_cyl -0.796108234 2.595755e-01
#> 2737 b_cyl -0.792638813 2.560864e-01
#> 2738 b_cyl -0.789169391 2.525951e-01
#> 2739 b_cyl -0.785699970 2.491028e-01
#> 2740 b_cyl -0.782230548 2.456110e-01
#> 2741 b_cyl -0.778761127 2.421219e-01
#> 2742 b_cyl -0.775291706 2.386378e-01
#> 2743 b_cyl -0.771822284 2.351600e-01
#> 2744 b_cyl -0.768352863 2.316904e-01
#> 2745 b_cyl -0.764883441 2.282309e-01
#> 2746 b_cyl -0.761414020 2.247833e-01
#> 2747 b_cyl -0.757944599 2.213511e-01
#> 2748 b_cyl -0.754475177 2.179381e-01
#> 2749 b_cyl -0.751005756 2.145442e-01
#> 2750 b_cyl -0.747536334 2.111715e-01
#> 2751 b_cyl -0.744066913 2.078220e-01
#> 2752 b_cyl -0.740597492 2.044978e-01
#> 2753 b_cyl -0.737128070 2.012023e-01
#> 2754 b_cyl -0.733658649 1.979428e-01
#> 2755 b_cyl -0.730189227 1.947159e-01
#> 2756 b_cyl -0.726719806 1.915235e-01
#> 2757 b_cyl -0.723250385 1.883676e-01
#> 2758 b_cyl -0.719780963 1.852500e-01
#> 2759 b_cyl -0.716311542 1.821723e-01
#> 2760 b_cyl -0.712842120 1.791467e-01
#> 2761 b_cyl -0.709372699 1.761654e-01
#> 2762 b_cyl -0.705903278 1.732297e-01
#> 2763 b_cyl -0.702433856 1.703408e-01
#> 2764 b_cyl -0.698964435 1.674999e-01
#> 2765 b_cyl -0.695495013 1.647081e-01
#> 2766 b_cyl -0.692025592 1.619757e-01
#> 2767 b_cyl -0.688556171 1.592971e-01
#> 2768 b_cyl -0.685086749 1.566702e-01
#> 2769 b_cyl -0.681617328 1.540952e-01
#> 2770 b_cyl -0.678147906 1.515725e-01
#> 2771 b_cyl -0.674678485 1.491022e-01
#> 2772 b_cyl -0.671209064 1.466912e-01
#> 2773 b_cyl -0.667739642 1.443375e-01
#> 2774 b_cyl -0.664270221 1.420351e-01
#> 2775 b_cyl -0.660800799 1.397835e-01
#> 2776 b_cyl -0.657331378 1.375820e-01
#> 2777 b_cyl -0.653861957 1.354298e-01
#> 2778 b_cyl -0.650392535 1.333299e-01
#> 2779 b_cyl -0.646923114 1.312838e-01
#> 2780 b_cyl -0.643453692 1.292828e-01
#> 2781 b_cyl -0.639984271 1.273257e-01
#> 2782 b_cyl -0.636514850 1.254110e-01
#> 2783 b_cyl -0.633045428 1.235372e-01
#> 2784 b_cyl -0.629576007 1.217042e-01
#> 2785 b_cyl -0.626106585 1.199158e-01
#> 2786 b_cyl -0.622637164 1.181624e-01
#> 2787 b_cyl -0.619167743 1.164424e-01
#> 2788 b_cyl -0.615698321 1.147540e-01
#> 2789 b_cyl -0.612228900 1.130956e-01
#> 2790 b_cyl -0.608759478 1.114654e-01
#> 2791 b_cyl -0.605290057 1.098674e-01
#> 2792 b_cyl -0.601820636 1.082935e-01
#> 2793 b_cyl -0.598351214 1.067420e-01
#> 2794 b_cyl -0.594881793 1.052115e-01
#> 2795 b_cyl -0.591412371 1.037004e-01
#> 2796 b_cyl -0.587942950 1.022075e-01
#> 2797 b_cyl -0.584473529 1.007340e-01
#> 2798 b_cyl -0.581004107 9.927636e-02
#> 2799 b_cyl -0.577534686 9.783256e-02
#> 2800 b_cyl -0.574065264 9.640166e-02
#> 2801 b_cyl -0.570595843 9.498279e-02
#> 2802 b_cyl -0.567126422 9.357518e-02
#> 2803 b_cyl -0.563657000 9.217946e-02
#> 2804 b_cyl -0.560187579 9.079460e-02
#> 2805 b_cyl -0.556718157 8.941911e-02
#> 2806 b_cyl -0.553248736 8.805272e-02
#> 2807 b_cyl -0.549779315 8.669525e-02
#> 2808 b_cyl -0.546309893 8.534660e-02
#> 2809 b_cyl -0.542840472 8.400751e-02
#> 2810 b_cyl -0.539371050 8.267875e-02
#> 2811 b_cyl -0.535901629 8.135920e-02
#> 2812 b_cyl -0.532432208 8.004918e-02
#> 2813 b_cyl -0.528962786 7.874903e-02
#> 2814 b_cyl -0.525493365 7.745917e-02
#> 2815 b_cyl -0.522023943 7.618047e-02
#> 2816 b_cyl -0.518554522 7.491558e-02
#> 2817 b_cyl -0.515085101 7.366289e-02
#> 2818 b_cyl -0.511615679 7.242302e-02
#> 2819 b_cyl -0.508146258 7.119660e-02
#> 2820 b_cyl -0.504676836 6.998427e-02
#> 2821 b_cyl -0.501207415 6.878668e-02
#> 2822 b_cyl -0.497737994 6.760816e-02
#> 2823 b_cyl -0.494268572 6.644627e-02
#> 2824 b_cyl -0.490799151 6.530140e-02
#> 2825 b_cyl -0.487329729 6.417415e-02
#> 2826 b_cyl -0.483860308 6.306505e-02
#> 2827 b_cyl -0.480390887 6.197466e-02
#> 2828 b_cyl -0.476921465 6.090694e-02
#> 2829 b_cyl -0.473452044 5.986026e-02
#> 2830 b_cyl -0.469982622 5.883379e-02
#> 2831 b_cyl -0.466513201 5.782781e-02
#> 2832 b_cyl -0.463043780 5.684257e-02
#> 2833 b_cyl -0.459574358 5.587824e-02
#> 2834 b_cyl -0.456104937 5.493767e-02
#> 2835 b_cyl -0.452635515 5.402051e-02
#> 2836 b_cyl -0.449166094 5.312440e-02
#> 2837 b_cyl -0.445696673 5.224921e-02
#> 2838 b_cyl -0.442227251 5.139477e-02
#> 2839 b_cyl -0.438757830 5.056085e-02
#> 2840 b_cyl -0.435288408 4.974872e-02
#> 2841 b_cyl -0.431818987 4.895941e-02
#> 2842 b_cyl -0.428349566 4.818927e-02
#> 2843 b_cyl -0.424880144 4.743779e-02
#> 2844 b_cyl -0.421410723 4.670442e-02
#> 2845 b_cyl -0.417941301 4.598857e-02
#> 2846 b_cyl -0.414471880 4.529010e-02
#> 2847 b_cyl -0.411002459 4.461092e-02
#> 2848 b_cyl -0.407533037 4.394680e-02
#> 2849 b_cyl -0.404063616 4.329699e-02
#> 2850 b_cyl -0.400594194 4.266072e-02
#> 2851 b_cyl -0.397124773 4.203721e-02
#> 2852 b_cyl -0.393655352 4.142567e-02
#> 2853 b_cyl -0.390185930 4.082745e-02
#> 2854 b_cyl -0.386716509 4.023928e-02
#> 2855 b_cyl -0.383247087 3.966016e-02
#> 2856 b_cyl -0.379777666 3.908931e-02
#> 2857 b_cyl -0.376308245 3.852595e-02
#> 2858 b_cyl -0.372838823 3.796934e-02
#> 2859 b_cyl -0.369369402 3.741956e-02
#> 2860 b_cyl -0.365899980 3.687504e-02
#> 2861 b_cyl -0.362430559 3.633474e-02
#> 2862 b_cyl -0.358961138 3.579805e-02
#> 2863 b_cyl -0.355491716 3.526438e-02
#> 2864 b_cyl -0.352022295 3.473319e-02
#> 2865 b_cyl -0.348552873 3.420414e-02
#> 2866 b_cyl -0.345083452 3.367656e-02
#> 2867 b_cyl -0.341614031 3.314988e-02
#> 2868 b_cyl -0.338144609 3.262377e-02
#> 2869 b_cyl -0.334675188 3.209795e-02
#> 2870 b_cyl -0.331205766 3.157218e-02
#> 2871 b_cyl -0.327736345 3.104626e-02
#> 2872 b_cyl -0.324266924 3.051998e-02
#> 2873 b_cyl -0.320797502 2.999331e-02
#> 2874 b_cyl -0.317328081 2.946627e-02
#> 2875 b_cyl -0.313858659 2.893887e-02
#> 2876 b_cyl -0.310389238 2.841119e-02
#> 2877 b_cyl -0.306919817 2.788334e-02
#> 2878 b_cyl -0.303450395 2.735555e-02
#> 2879 b_cyl -0.299980974 2.682807e-02
#> 2880 b_cyl -0.296511552 2.630114e-02
#> 2881 b_cyl -0.293042131 2.577505e-02
#> 2882 b_cyl -0.289572710 2.525007e-02
#> 2883 b_cyl -0.286103288 2.472654e-02
#> 2884 b_cyl -0.282633867 2.420527e-02
#> 2885 b_cyl -0.279164445 2.368640e-02
#> 2886 b_cyl -0.275695024 2.317025e-02
#> 2887 b_cyl -0.272225603 2.265721e-02
#> 2888 b_cyl -0.268756181 2.214765e-02
#> 2889 b_cyl -0.265286760 2.164197e-02
#> 2890 b_cyl -0.261817338 2.114136e-02
#> 2891 b_cyl -0.258347917 2.064592e-02
#> 2892 b_cyl -0.254878496 2.015572e-02
#> 2893 b_cyl -0.251409074 1.967112e-02
#> 2894 b_cyl -0.247939653 1.919246e-02
#> 2895 b_cyl -0.244470231 1.872007e-02
#> 2896 b_cyl -0.241000810 1.825511e-02
#> 2897 b_cyl -0.237531389 1.779801e-02
#> 2898 b_cyl -0.234061967 1.734824e-02
#> 2899 b_cyl -0.230592546 1.690604e-02
#> 2900 b_cyl -0.227123124 1.647163e-02
#> 2901 b_cyl -0.223653703 1.604523e-02
#> 2902 b_cyl -0.220184282 1.562761e-02
#> 2903 b_cyl -0.216714860 1.521979e-02
#> 2904 b_cyl -0.213245439 1.482053e-02
#> 2905 b_cyl -0.209776017 1.442993e-02
#> 2906 b_cyl -0.206306596 1.404805e-02
#> 2907 b_cyl -0.202837175 1.367497e-02
#> 2908 b_cyl -0.199367753 1.331093e-02
#> 2909 b_cyl -0.195898332 1.295766e-02
#> 2910 b_cyl -0.192428910 1.261325e-02
#> 2911 b_cyl -0.188959489 1.227768e-02
#> 2912 b_cyl -0.185490068 1.195090e-02
#> 2913 b_cyl -0.182020646 1.163288e-02
#> 2914 b_cyl -0.178551225 1.132354e-02
#> 2915 b_cyl -0.175081803 1.102461e-02
#> 2916 b_cyl -0.171612382 1.073439e-02
#> 2917 b_cyl -0.168142961 1.045255e-02
#> 2918 b_cyl -0.164673539 1.017898e-02
#> 2919 b_cyl -0.161204118 9.913579e-03
#> 2920 b_cyl -0.157734696 9.656235e-03
#> 2921 b_cyl -0.154265275 9.408094e-03
#> 2922 b_cyl -0.150795854 9.168290e-03
#> 2923 b_cyl -0.147326432 8.936109e-03
#> 2924 b_cyl -0.143857011 8.711428e-03
#> 2925 b_cyl -0.140387589 8.494125e-03
#> 2926 b_cyl -0.136918168 8.284078e-03
#> 2927 b_cyl -0.133448747 8.081962e-03
#> 2928 b_cyl -0.129979325 7.887665e-03
#> 2929 b_cyl -0.126509904 7.700190e-03
#> 2930 b_cyl -0.123040482 7.519422e-03
#> 2931 b_cyl -0.119571061 7.345247e-03
#> 2932 b_cyl -0.116101640 7.177553e-03
#> 2933 b_cyl -0.112632218 7.016638e-03
#> 2934 b_cyl -0.109162797 6.863006e-03
#> 2935 b_cyl -0.105693375 6.715459e-03
#> 2936 b_cyl -0.102223954 6.573887e-03
#> 2937 b_cyl -0.098754533 6.438185e-03
#> 2938 b_cyl -0.095285111 6.308246e-03
#> 2939 b_cyl -0.091815690 6.184061e-03
#> 2940 b_cyl -0.088346269 6.066602e-03
#> 2941 b_cyl -0.084876847 5.954516e-03
#> 2942 b_cyl -0.081407426 5.847690e-03
#> 2943 b_cyl -0.077938004 5.746012e-03
#> 2944 b_cyl -0.074468583 5.649367e-03
#> 2945 b_cyl -0.070999162 5.557637e-03
#> 2946 b_cyl -0.067529740 5.471656e-03
#> 2947 b_cyl -0.064060319 5.390414e-03
#> 2948 b_cyl -0.060590897 5.313636e-03
#> 2949 b_cyl -0.057121476 5.241187e-03
#> 2950 b_cyl -0.053652055 5.172932e-03
#> 2951 b_cyl -0.050182633 5.108730e-03
#> 2952 b_cyl -0.046713212 5.049023e-03
#> 2953 b_cyl -0.043243790 4.993289e-03
#> 2954 b_cyl -0.039774369 4.941068e-03
#> 2955 b_cyl -0.036304948 4.892199e-03
#> 2956 b_cyl -0.032835526 4.846522e-03
#> 2957 b_cyl -0.029366105 4.803871e-03
#> 2958 b_cyl -0.025896683 4.764367e-03
#> 2959 b_cyl -0.022427262 4.727805e-03
#> 2960 b_cyl -0.018957841 4.693646e-03
#> 2961 b_cyl -0.015488419 4.661715e-03
#> 2962 b_cyl -0.012018998 4.631831e-03
#> 2963 b_cyl -0.008549576 4.603816e-03
#> 2964 b_cyl -0.005080155 4.577577e-03
#> 2965 b_cyl -0.001610734 4.553026e-03
#> 2966 b_cyl 0.001858688 4.529688e-03
#> 2967 b_cyl 0.005328109 4.507383e-03
#> 2968 b_cyl 0.008797531 4.485934e-03
#> 2969 b_cyl 0.012266952 4.465165e-03
#> 2970 b_cyl 0.015736373 4.444904e-03
#> 2971 b_cyl 0.019205795 4.424986e-03
#> 2972 b_cyl 0.022675216 4.405135e-03
#> 2973 b_cyl 0.026144638 4.385191e-03
#> 2974 b_cyl 0.029614059 4.365001e-03
#> 2975 b_cyl 0.033083480 4.344416e-03
#> 2976 b_cyl 0.036552902 4.323293e-03
#> 2977 b_cyl 0.040022323 4.301316e-03
#> 2978 b_cyl 0.043491745 4.278435e-03
#> 2979 b_cyl 0.046961166 4.254560e-03
#> 2980 b_cyl 0.050430587 4.229586e-03
#> 2981 b_cyl 0.053900009 4.203415e-03
#> 2982 b_cyl 0.057369430 4.175956e-03
#> 2983 b_cyl 0.060838852 4.146903e-03
#> 2984 b_cyl 0.064308273 4.116263e-03
#> 2985 b_cyl 0.067777694 4.084100e-03
#> 2986 b_cyl 0.071247116 4.050376e-03
#> 2987 b_cyl 0.074716537 4.015061e-03
#> 2988 b_cyl 0.078185959 3.978138e-03
#> 2989 b_cyl 0.081655380 3.939427e-03
#> 2990 b_cyl 0.085124801 3.898898e-03
#> 2991 b_cyl 0.088594223 3.856791e-03
#> 2992 b_cyl 0.092063644 3.813142e-03
#> 2993 b_cyl 0.095533066 3.767998e-03
#> 2994 b_cyl 0.099002487 3.721413e-03
#> 2995 b_cyl 0.102471908 3.673381e-03
#> 2996 b_cyl 0.105941330 3.623857e-03
#> 2997 b_cyl 0.109410751 3.573184e-03
#> 2998 b_cyl 0.112880173 3.521465e-03
#> 2999 b_cyl 0.116349594 3.468810e-03
#> 3000 b_cyl 0.119819015 3.415337e-03
#> 3001 b_cyl 0.123288437 3.361166e-03
#> 3002 b_cyl 0.126757858 3.306357e-03
#> 3003 b_cyl 0.130227280 3.251211e-03
#> 3004 b_cyl 0.133696701 3.195872e-03
#> 3005 b_cyl 0.137166122 3.140486e-03
#> 3006 b_cyl 0.140635544 3.085204e-03
#> 3007 b_cyl 0.144104965 3.030175e-03
#> 3008 b_cyl 0.147574387 2.975678e-03
#> 3009 b_cyl 0.151043808 2.921847e-03
#> 3010 b_cyl 0.154513229 2.868811e-03
#> 3011 b_cyl 0.157982651 2.816715e-03
#> 3012 b_cyl 0.161452072 2.765698e-03
#> 3013 b_cyl 0.164921494 2.715896e-03
#> 3014 b_cyl 0.168390915 2.667670e-03
#> 3015 b_cyl 0.171860336 2.621106e-03
#> 3016 b_cyl 0.175329758 2.576193e-03
#> 3017 b_cyl 0.178799179 2.533033e-03
#> 3018 b_cyl 0.182268601 2.491718e-03
#> 3019 b_cyl 0.185738022 2.452332e-03
#> 3020 b_cyl 0.189207443 2.415162e-03
#> 3021 b_cyl 0.192676865 2.380367e-03
#> 3022 b_cyl 0.196146286 2.347715e-03
#> 3023 b_cyl 0.199615708 2.317236e-03
#> 3024 b_cyl 0.203085129 2.288952e-03
#> 3025 b_cyl 0.206554550 2.262874e-03
#> 3026 b_cyl 0.210023972 2.239116e-03
#> 3027 b_cyl 0.213493393 2.217947e-03
#> 3028 b_cyl 0.216962815 2.198923e-03
#> 3029 b_cyl 0.220432236 2.182000e-03
#> 3030 b_cyl 0.223901657 2.167126e-03
#> 3031 b_cyl 0.227371079 2.154238e-03
#> 3032 b_cyl 0.230840500 2.143271e-03
#> 3033 b_cyl 0.234309922 2.134530e-03
#> 3034 b_cyl 0.237779343 2.127469e-03
#> 3035 b_cyl 0.241248764 2.121985e-03
#> 3036 b_cyl 0.244718186 2.117967e-03
#> 3037 b_cyl 0.248187607 2.115300e-03
#> 3038 b_cyl 0.251657029 2.113862e-03
#> 3039 b_cyl 0.255126450 2.113702e-03
#> 3040 b_cyl 0.258595871 2.114479e-03
#> 3041 b_cyl 0.262065293 2.116011e-03
#> 3042 b_cyl 0.265534714 2.118161e-03
#> 3043 b_cyl 0.269004136 2.120792e-03
#> 3044 b_cyl 0.272473557 2.123764e-03
#> 3045 b_cyl 0.275942978 2.126940e-03
#> 3046 b_cyl 0.279412400 2.130115e-03
#> 3047 b_cyl 0.282881821 2.133137e-03
#> 3048 b_cyl 0.286351243 2.135878e-03
#> 3049 b_cyl 0.289820664 2.138209e-03
#> 3050 b_cyl 0.293290085 2.140006e-03
#> 3051 b_cyl 0.296759507 2.141069e-03
#> 3052 b_cyl 0.300228928 2.141200e-03
#> 3053 b_cyl 0.303698350 2.140389e-03
#> 3054 b_cyl 0.307167771 2.138538e-03
#> 3055 b_cyl 0.310637192 2.135554e-03
#> 3056 b_cyl 0.314106614 2.131351e-03
#> 3057 b_cyl 0.317576035 2.125780e-03
#> 3058 b_cyl 0.321045457 2.118549e-03
#> 3059 b_cyl 0.324514878 2.109847e-03
#> 3060 b_cyl 0.327984299 2.099622e-03
#> 3061 b_cyl 0.331453721 2.087831e-03
#> 3062 b_cyl 0.334923142 2.074437e-03
#> 3063 b_cyl 0.338392564 2.059411e-03
#> 3064 b_cyl 0.341861985 2.042333e-03
#> 3065 b_cyl 0.345331406 2.023585e-03
#> 3066 b_cyl 0.348800828 2.003168e-03
#> 3067 b_cyl 0.352270249 1.981088e-03
#> 3068 b_cyl 0.355739671 1.957361e-03
#> 3069 b_cyl 0.359209092 1.932006e-03
#> 3070 b_cyl 0.362678513 1.904759e-03
#> 3071 b_cyl 0.366147935 1.875895e-03
#> 3072 b_cyl 0.369617356 1.845538e-03
# }