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,
rvar_col = NULL,
...
)
# S3 method for class 'brmsfit'
estimate_density(
x,
method = "kernel",
precision = 2^10,
extend = FALSE,
extend_scale = 0.1,
bw = "SJ",
effects = "fixed",
component = "conditional",
parameters = 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.numericor.data.framemethods.- ...
Currently not used.
- method
Density estimation method. Can be
"kernel"(default),"logspline"or"KernSmooth".- precision
Number of points of density data. See the
nparameter 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
0.1means that the x axis will be extended by1/10of 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
NULLand input is a data frame, density estimation is performed for each group (subsets) indicated byby. See examples.- rvar_col
A single character - the name of an
rvarcolumn in the data frame to be processed. See example inp_direction().- effects
Should results for fixed effects (
"fixed", the default), random effects ("random") or both ("all") be returned? Only applies to mixed models. May be abbreviated.- component
Which type of parameters to return, such as parameters for the conditional model, the zero-inflated part of the model, the dispersion term, etc. See details in section Model Components. May be abbreviated. Note that the conditional component also refers to the count or mean component - names may differ, depending on the modeling package. There are three convenient shortcuts (not applicable to all model classes):
component = "all"returns all possible parameters.If
component = "location", location parameters such asconditional,zero_inflated,smooth_terms, orinstrumentsare returned (everything that are fixed or random effects - depending on theeffectsargument - but no auxiliary parameters).For
component = "distributional"(or"auxiliary"), components likesigma,dispersion,betaorprecision(and other auxiliary parameters) are returned.
- parameters
Regular expression pattern that describes the parameters that should be returned. Meta-parameters (like
lp__orprior_) are filtered by default, so only parameters that typically appear in thesummary()are returned. Useparametersto select specific parameters for the output.
Note
There is also a plot()-method implemented in the see-package.
Model components
Possible values for the component argument depend on the model class.
Following are valid options:
"all": returns all model components, applies to all models, but will only have an effect for models with more than just the conditional model component."conditional": only returns the conditional component, i.e. "fixed effects" terms from the model. Will only have an effect for models with more than just the conditional model component."smooth_terms": returns smooth terms, only applies to GAMs (or similar models that may contain smooth terms)."zero_inflated"(or"zi"): returns the zero-inflation component."location": returns location parameters such asconditional,zero_inflated, orsmooth_terms(everything that are fixed or random effects - depending on theeffectsargument - but no auxiliary parameters)."distributional"(or"auxiliary"): components likesigma,dispersion,betaorprecision(and other auxiliary parameters) are returned.
For models of class brmsfit (package brms), even more options are
possible for the component argument, which are not all documented in detail
here. See also ?insight::find_parameters.
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 6e-06 seconds
#> Chain 1: 1000 transitions using 10 leapfrog steps per transition would take 0.06 seconds.
#> Chain 1: Adjust your expectations accordingly!
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#> 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.
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#> 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.
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#>
#> SAMPLING FOR MODEL 'anon_model' NOW (CHAIN 4).
#> Chain 4:
#> Chain 4: Gradient evaluation took 3e-06 seconds
#> Chain 4: 1000 transitions using 10 leapfrog steps per transition would take 0.03 seconds.
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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
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#> 884 b_Intercept 45.004860825 2.906682e-03
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#> 888 b_Intercept 45.065233868 2.596555e-03
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#> 890 b_Intercept 45.095420389 2.449828e-03
#> 891 b_Intercept 45.110513650 2.378547e-03
#> 892 b_Intercept 45.125606911 2.308712e-03
#> 893 b_Intercept 45.140700171 2.240635e-03
#> 894 b_Intercept 45.155793432 2.174045e-03
#> 895 b_Intercept 45.170886693 2.108968e-03
#> 896 b_Intercept 45.185979953 2.045434e-03
#> 897 b_Intercept 45.201073214 1.983472e-03
#> 898 b_Intercept 45.216166475 1.923112e-03
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#> 900 b_Intercept 45.246352996 1.808007e-03
#> 901 b_Intercept 45.261446257 1.753039e-03
#> 902 b_Intercept 45.276539518 1.699798e-03
#> 903 b_Intercept 45.291632778 1.648307e-03
#> 904 b_Intercept 45.306726039 1.598589e-03
#> 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
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#> 913 b_Intercept 45.442565385 1.238090e-03
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#> 915 b_Intercept 45.472751906 1.179091e-03
#> 916 b_Intercept 45.487845167 1.152336e-03
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#> 921 b_Intercept 45.563311471 1.046649e-03
#> 922 b_Intercept 45.578404731 1.030691e-03
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#> 924 b_Intercept 45.608591253 1.003722e-03
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#> 926 b_Intercept 45.638777774 9.832930e-04
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#> 929 b_Intercept 45.684057556 9.629128e-04
#> 930 b_Intercept 45.699150817 9.586621e-04
#> 931 b_Intercept 45.714244077 9.557610e-04
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#> 933 b_Intercept 45.744430599 9.530162e-04
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#> 1226 b_wt -5.606835624 7.249901e-03
#> 1227 b_wt -5.600491384 7.522212e-03
#> 1228 b_wt -5.594147145 7.801302e-03
#> 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
# }