This function is a wrapper over different methods of density estimation. By default, it uses the base R density with by default uses a different smoothing bandwidth ("SJ") from the legacy default implemented the base R density function ("nrd0"). However, Deng and Wickham suggest that method = "KernSmooth" is the fastest and the most accurate.
Usage
estimate_density(x, ...)
# S3 method for data.frame
estimate_density(
x,
method = "kernel",
precision = 2^10,
extend = FALSE,
extend_scale = 0.1,
bw = "SJ",
ci = NULL,
select = NULL,
at = NULL,
group_by = NULL,
...
)Arguments
- x
Vector representing a posterior distribution, or a data frame of such vectors. Can also be a Bayesian model. bayestestR supports a wide range of models (see, for example,
methods("hdi")) and not all of those are documented in the 'Usage' section, because methods for other classes mostly resemble the arguments of the.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 from
datawizard::find_columns()(such asexclude) can also be used.- at
Optional character vector. If not
NULLand input is a data frame, density estimation is performed for each group (subsets) indicated byat. See examples.- group_by
Deprecated in favour of
at.
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 0.09650527
#> 2 Sepal.Length 4.303519 0.09766644
#> 3 Sepal.Length 4.307038 0.09883222
#> 4 Sepal.Length 4.310557 0.10001063
#> 5 Sepal.Length 4.314076 0.10119336
#> 6 Sepal.Length 4.317595 0.10238484
head(estimate_density(iris, select = "Sepal.Width"))
#> Parameter x y
#> 1 Sepal.Width 2.000000 0.04651972
#> 2 Sepal.Width 2.002346 0.04733324
#> 3 Sepal.Width 2.004692 0.04816144
#> 4 Sepal.Width 2.007038 0.04899919
#> 5 Sepal.Width 2.009384 0.04984690
#> 6 Sepal.Width 2.011730 0.05071174
# Grouped data
head(estimate_density(iris, at = "Species"))
#> Parameter x y Species
#> 1 Sepal.Length 4.300000 0.2355986 setosa
#> 2 Sepal.Length 4.301466 0.2375879 setosa
#> 3 Sepal.Length 4.302933 0.2395766 setosa
#> 4 Sepal.Length 4.304399 0.2415640 setosa
#> 5 Sepal.Length 4.305865 0.2435508 setosa
#> 6 Sepal.Length 4.307331 0.2455353 setosa
head(estimate_density(iris$Petal.Width, at = iris$Species))
#> x y Group
#> 1 0.1000000 9.011872 setosa
#> 2 0.1004888 8.955399 setosa
#> 3 0.1009775 8.792239 setosa
#> 4 0.1014663 8.528268 setosa
#> 5 0.1019550 8.172719 setosa
#> 6 0.1024438 7.737660 setosa
# \dontrun{
# rstanarm models
# -----------------------------------------------
library(rstanarm)
model <- stan_glm(mpg ~ wt + gear, data = mtcars, chains = 2, iter = 200, refresh = 0)
#> Warning: The largest R-hat is 1.07, indicating chains have not mixed.
#> Running the chains for more iterations may help. See
#> https://mc-stan.org/misc/warnings.html#r-hat
#> Warning: Bulk Effective Samples Size (ESS) is too low, indicating posterior means and medians may be unreliable.
#> Running the chains for more iterations may help. See
#> https://mc-stan.org/misc/warnings.html#bulk-ess
#> Warning: Tail Effective Samples Size (ESS) is too low, indicating posterior variances and tail quantiles may be unreliable.
#> Running the chains for more iterations may help. See
#> https://mc-stan.org/misc/warnings.html#tail-ess
head(estimate_density(model))
#> Parameter x y
#> 1 (Intercept) 24.19242 0.002029767
#> 2 (Intercept) 24.22067 0.002052337
#> 3 (Intercept) 24.24892 0.002074994
#> 4 (Intercept) 24.27717 0.002097736
#> 5 (Intercept) 24.30542 0.002120651
#> 6 (Intercept) 24.33367 0.002143652
library(emmeans)
head(estimate_density(emtrends(model, ~1, "wt")))
#> Parameter x y
#> 1 overall -7.810281 0.01754139
#> 2 overall -7.806283 0.01763125
#> 3 overall -7.802285 0.01771950
#> 4 overall -7.798287 0.01780524
#> 5 overall -7.794289 0.01788964
#> 6 overall -7.790292 0.01797242
# brms models
# -----------------------------------------------
library(brms)
model <- brms::brm(mpg ~ wt + cyl, data = mtcars)
#> Compiling Stan program...
#> Start sampling
#>
#> SAMPLING FOR MODEL '2d19b3a372313df641edf05db5e9f303' NOW (CHAIN 1).
#> Chain 1:
#> Chain 1: Gradient evaluation took 1.3e-05 seconds
#> Chain 1: 1000 transitions using 10 leapfrog steps per transition would take 0.13 seconds.
#> Chain 1: Adjust your expectations accordingly!
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#> Chain 1:
#>
#> SAMPLING FOR MODEL '2d19b3a372313df641edf05db5e9f303' NOW (CHAIN 2).
#> Chain 2:
#> Chain 2: Gradient evaluation took 9e-06 seconds
#> Chain 2: 1000 transitions using 10 leapfrog steps per transition would take 0.09 seconds.
#> Chain 2: Adjust your expectations accordingly!
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#> Chain 2: 0.028125 seconds (Sampling)
#> Chain 2: 0.061122 seconds (Total)
#> Chain 2:
#>
#> SAMPLING FOR MODEL '2d19b3a372313df641edf05db5e9f303' NOW (CHAIN 3).
#> Chain 3:
#> Chain 3: Gradient evaluation took 9e-06 seconds
#> Chain 3: 1000 transitions using 10 leapfrog steps per transition would take 0.09 seconds.
#> Chain 3: Adjust your expectations accordingly!
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#> Chain 3:
#>
#> SAMPLING FOR MODEL '2d19b3a372313df641edf05db5e9f303' NOW (CHAIN 4).
#> Chain 4:
#> Chain 4: Gradient evaluation took 8e-06 seconds
#> Chain 4: 1000 transitions using 10 leapfrog steps per transition would take 0.08 seconds.
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#> Chain 4:
estimate_density(model)
#> Parameter x y
#> 1 b_Intercept 32.4844925708 0.0002809111
#> 2 b_Intercept 32.4975104536 0.0002810493
#> 3 b_Intercept 32.5105283364 0.0002808713
#> 4 b_Intercept 32.5235462191 0.0002803812
#> 5 b_Intercept 32.5365641019 0.0002795345
#> 6 b_Intercept 32.5495819847 0.0002783613
#> 7 b_Intercept 32.5625998675 0.0002769030
#> 8 b_Intercept 32.5756177503 0.0002751698
#> 9 b_Intercept 32.5886356331 0.0002731728
#> 10 b_Intercept 32.6016535159 0.0002709240
#> 11 b_Intercept 32.6146713987 0.0002683799
#> 12 b_Intercept 32.6276892815 0.0002656211
#> 13 b_Intercept 32.6407071643 0.0002626661
#> 14 b_Intercept 32.6537250471 0.0002595316
#> 15 b_Intercept 32.6667429299 0.0002562355
#> 16 b_Intercept 32.6797608127 0.0002527860
#> 17 b_Intercept 32.6927786955 0.0002492013
#> 18 b_Intercept 32.7057965783 0.0002455282
#> 19 b_Intercept 32.7188144611 0.0002417877
#> 20 b_Intercept 32.7318323439 0.0002380012
#> 21 b_Intercept 32.7448502267 0.0002341904
#> 22 b_Intercept 32.7578681095 0.0002303839
#> 23 b_Intercept 32.7708859923 0.0002266151
#> 24 b_Intercept 32.7839038751 0.0002229065
#> 25 b_Intercept 32.7969217579 0.0002192809
#> 26 b_Intercept 32.8099396407 0.0002157612
#> 27 b_Intercept 32.8229575235 0.0002123714
#> 28 b_Intercept 32.8359754063 0.0002091844
#> 29 b_Intercept 32.8489932891 0.0002061881
#> 30 b_Intercept 32.8620111719 0.0002034045
#> 31 b_Intercept 32.8750290546 0.0002008555
#> 32 b_Intercept 32.8880469374 0.0001985624
#> 33 b_Intercept 32.9010648202 0.0001965789
#> 34 b_Intercept 32.9140827030 0.0001949553
#> 35 b_Intercept 32.9271005858 0.0001936640
#> 36 b_Intercept 32.9401184686 0.0001927239
#> 37 b_Intercept 32.9531363514 0.0001921535
#> 38 b_Intercept 32.9661542342 0.0001919706
#> 39 b_Intercept 32.9791721170 0.0001922802
#> 40 b_Intercept 32.9921899998 0.0001930525
#> 41 b_Intercept 33.0052078826 0.0001942733
#> 42 b_Intercept 33.0182257654 0.0001959571
#> 43 b_Intercept 33.0312436482 0.0001981179
#> 44 b_Intercept 33.0442615310 0.0002007820
#> 45 b_Intercept 33.0572794138 0.0002040799
#> 46 b_Intercept 33.0702972966 0.0002079006
#> 47 b_Intercept 33.0833151794 0.0002122545
#> 48 b_Intercept 33.0963330622 0.0002171512
#> 49 b_Intercept 33.1093509450 0.0002226001
#> 50 b_Intercept 33.1223688278 0.0002286799
#> 51 b_Intercept 33.1353867106 0.0002354187
#> 52 b_Intercept 33.1484045934 0.0002427379
#> 53 b_Intercept 33.1614224762 0.0002506435
#> 54 b_Intercept 33.1744403590 0.0002591409
#> 55 b_Intercept 33.1874582418 0.0002682353
#> 56 b_Intercept 33.2004761246 0.0002780649
#> 57 b_Intercept 33.2134940074 0.0002885351
#> 58 b_Intercept 33.2265118901 0.0002996162
#> 59 b_Intercept 33.2395297729 0.0003113108
#> 60 b_Intercept 33.2525476557 0.0003236213
#> 61 b_Intercept 33.2655655385 0.0003365763
#> 62 b_Intercept 33.2785834213 0.0003502945
#> 63 b_Intercept 33.2916013041 0.0003646342
#> 64 b_Intercept 33.3046191869 0.0003795958
#> 65 b_Intercept 33.3176370697 0.0003951800
#> 66 b_Intercept 33.3306549525 0.0004113870
#> 67 b_Intercept 33.3436728353 0.0004283043
#> 68 b_Intercept 33.3566907181 0.0004459278
#> 69 b_Intercept 33.3697086009 0.0004641736
#> 70 b_Intercept 33.3827264837 0.0004830411
#> 71 b_Intercept 33.3957443665 0.0005025299
#> 72 b_Intercept 33.4087622493 0.0005226390
#> 73 b_Intercept 33.4217801321 0.0005435146
#> 74 b_Intercept 33.4347980149 0.0005650311
#> 75 b_Intercept 33.4478158977 0.0005871646
#> 76 b_Intercept 33.4608337805 0.0006099140
#> 77 b_Intercept 33.4738516633 0.0006332782
#> 78 b_Intercept 33.4868695461 0.0006572927
#> 79 b_Intercept 33.4998874289 0.0006820498
#> 80 b_Intercept 33.5129053117 0.0007074166
#> 81 b_Intercept 33.5259231945 0.0007333915
#> 82 b_Intercept 33.5389410773 0.0007599728
#> 83 b_Intercept 33.5519589601 0.0007871589
#> 84 b_Intercept 33.5649768428 0.0008150422
#> 85 b_Intercept 33.5779947256 0.0008435949
#> 86 b_Intercept 33.5910126084 0.0008727444
#> 87 b_Intercept 33.6040304912 0.0009024880
#> 88 b_Intercept 33.6170483740 0.0009328230
#> 89 b_Intercept 33.6300662568 0.0009637466
#> 90 b_Intercept 33.6430841396 0.0009954030
#> 91 b_Intercept 33.6561020224 0.0010276502
#> 92 b_Intercept 33.6691199052 0.0010604727
#> 93 b_Intercept 33.6821377880 0.0010938664
#> 94 b_Intercept 33.6951556708 0.0011278268
#> 95 b_Intercept 33.7081735536 0.0011623923
#> 96 b_Intercept 33.7211914364 0.0011976218
#> 97 b_Intercept 33.7342093192 0.0012333990
#> 98 b_Intercept 33.7472272020 0.0012697185
#> 99 b_Intercept 33.7602450848 0.0013065742
#> 100 b_Intercept 33.7732629676 0.0013439600
#> 101 b_Intercept 33.7862808504 0.0013819594
#> 102 b_Intercept 33.7992987332 0.0014205231
#> 103 b_Intercept 33.8123166160 0.0014595924
#> 104 b_Intercept 33.8253344988 0.0014991605
#> 105 b_Intercept 33.8383523816 0.0015392206
#> 106 b_Intercept 33.8513702644 0.0015797660
#> 107 b_Intercept 33.8643881472 0.0016209168
#> 108 b_Intercept 33.8774060300 0.0016625360
#> 109 b_Intercept 33.8904239128 0.0017046163
#> 110 b_Intercept 33.9034417956 0.0017471520
#> 111 b_Intercept 33.9164596783 0.0017901378
#> 112 b_Intercept 33.9294775611 0.0018336101
#> 113 b_Intercept 33.9424954439 0.0018776001
#> 114 b_Intercept 33.9555133267 0.0019220252
#> 115 b_Intercept 33.9685312095 0.0019668833
#> 116 b_Intercept 33.9815490923 0.0020121732
#> 117 b_Intercept 33.9945669751 0.0020578944
#> 118 b_Intercept 34.0075848579 0.0021041313
#> 119 b_Intercept 34.0206027407 0.0021508405
#> 120 b_Intercept 34.0336206235 0.0021979910
#> 121 b_Intercept 34.0466385063 0.0022455889
#> 122 b_Intercept 34.0596563891 0.0022936416
#> 123 b_Intercept 34.0726742719 0.0023421650
#> 124 b_Intercept 34.0856921547 0.0023912919
#> 125 b_Intercept 34.0987100375 0.0024409165
#> 126 b_Intercept 34.1117279203 0.0024910552
#> 127 b_Intercept 34.1247458031 0.0025417259
#> 128 b_Intercept 34.1377636859 0.0025929482
#> 129 b_Intercept 34.1507815687 0.0026448120
#> 130 b_Intercept 34.1637994515 0.0026973861
#> 131 b_Intercept 34.1768173343 0.0027506051
#> 132 b_Intercept 34.1898352171 0.0028044993
#> 133 b_Intercept 34.2028530999 0.0028591007
#> 134 b_Intercept 34.2158709827 0.0029144433
#> 135 b_Intercept 34.2288888655 0.0029707390
#> 136 b_Intercept 34.2419067483 0.0030279323
#> 137 b_Intercept 34.2549246311 0.0030860142
#> 138 b_Intercept 34.2679425138 0.0031450289
#> 139 b_Intercept 34.2809603966 0.0032050223
#> 140 b_Intercept 34.2939782794 0.0032660768
#> 141 b_Intercept 34.3069961622 0.0033284941
#> 142 b_Intercept 34.3200140450 0.0033920777
#> 143 b_Intercept 34.3330319278 0.0034568818
#> 144 b_Intercept 34.3460498106 0.0035229615
#> 145 b_Intercept 34.3590676934 0.0035903729
#> 146 b_Intercept 34.3720855762 0.0036593645
#> 147 b_Intercept 34.3851034590 0.0037300511
#> 148 b_Intercept 34.3981213418 0.0038022894
#> 149 b_Intercept 34.4111392246 0.0038761398
#> 150 b_Intercept 34.4241571074 0.0039516626
#> 151 b_Intercept 34.4371749902 0.0040289186
#> 152 b_Intercept 34.4501928730 0.0041083980
#> 153 b_Intercept 34.4632107558 0.0041898648
#> 154 b_Intercept 34.4762286386 0.0042732919
#> 155 b_Intercept 34.4892465214 0.0043587388
#> 156 b_Intercept 34.5022644042 0.0044462642
#> 157 b_Intercept 34.5152822870 0.0045360356
#> 158 b_Intercept 34.5283001698 0.0046285244
#> 159 b_Intercept 34.5413180526 0.0047233032
#> 160 b_Intercept 34.5543359354 0.0048204247
#> 161 b_Intercept 34.5673538182 0.0049199403
#> 162 b_Intercept 34.5803717010 0.0050218999
#> 163 b_Intercept 34.5933895838 0.0051267272
#> 164 b_Intercept 34.6064074665 0.0052344457
#> 165 b_Intercept 34.6194253493 0.0053447771
#> 166 b_Intercept 34.6324432321 0.0054577608
#> 167 b_Intercept 34.6454611149 0.0055734343
#> 168 b_Intercept 34.6584789977 0.0056918331
#> 169 b_Intercept 34.6714968805 0.0058136744
#> 170 b_Intercept 34.6845147633 0.0059384096
#> 171 b_Intercept 34.6975326461 0.0060659785
#> 172 b_Intercept 34.7105505289 0.0061964038
#> 173 b_Intercept 34.7235684117 0.0063297062
#> 174 b_Intercept 34.7365862945 0.0064660977
#> 175 b_Intercept 34.7496041773 0.0066060116
#> 176 b_Intercept 34.7626220601 0.0067488559
#> 177 b_Intercept 34.7756399429 0.0068946387
#> 178 b_Intercept 34.7886578257 0.0070433657
#> 179 b_Intercept 34.8016757085 0.0071950410
#> 180 b_Intercept 34.8146935913 0.0073501493
#> 181 b_Intercept 34.8277114741 0.0075085318
#> 182 b_Intercept 34.8407293569 0.0076698578
#> 183 b_Intercept 34.8537472397 0.0078341216
#> 184 b_Intercept 34.8667651225 0.0080013160
#> 185 b_Intercept 34.8797830053 0.0081714328
#> 186 b_Intercept 34.8928008881 0.0083452170
#> 187 b_Intercept 34.9058187709 0.0085219329
#> 188 b_Intercept 34.9188366537 0.0087015288
#> 189 b_Intercept 34.9318545365 0.0088839916
#> 190 b_Intercept 34.9448724193 0.0090693078
#> 191 b_Intercept 34.9578903020 0.0092576999
#> 192 b_Intercept 34.9709081848 0.0094494480
#> 193 b_Intercept 34.9839260676 0.0096439979
#> 194 b_Intercept 34.9969439504 0.0098413363
#> 195 b_Intercept 35.0099618332 0.0100414507
#> 196 b_Intercept 35.0229797160 0.0102443289
#> 197 b_Intercept 35.0359975988 0.0104504546
#> 198 b_Intercept 35.0490154816 0.0106595724
#> 199 b_Intercept 35.0620333644 0.0108714175
#> 200 b_Intercept 35.0750512472 0.0110859834
#> 201 b_Intercept 35.0880691300 0.0113032643
#> 202 b_Intercept 35.1010870128 0.0115232663
#> 203 b_Intercept 35.1141048956 0.0117467082
#> 204 b_Intercept 35.1271227784 0.0119728576
#> 205 b_Intercept 35.1401406612 0.0122017165
#> 206 b_Intercept 35.1531585440 0.0124332884
#> 207 b_Intercept 35.1661764268 0.0126675779
#> 208 b_Intercept 35.1791943096 0.0129048676
#> 209 b_Intercept 35.1922121924 0.0131453679
#> 210 b_Intercept 35.2052300752 0.0133886173
#> 211 b_Intercept 35.2182479580 0.0136346273
#> 212 b_Intercept 35.2312658408 0.0138834107
#> 213 b_Intercept 35.2442837236 0.0141349807
#> 214 b_Intercept 35.2573016064 0.0143899117
#> 215 b_Intercept 35.2703194892 0.0146478842
#> 216 b_Intercept 35.2833373720 0.0149087004
#> 217 b_Intercept 35.2963552548 0.0151723764
#> 218 b_Intercept 35.3093731375 0.0154389283
#> 219 b_Intercept 35.3223910203 0.0157084333
#> 220 b_Intercept 35.3354089031 0.0159815895
#> 221 b_Intercept 35.3484267859 0.0162576786
#> 222 b_Intercept 35.3614446687 0.0165367138
#> 223 b_Intercept 35.3744625515 0.0168187072
#> 224 b_Intercept 35.3874804343 0.0171036700
#> 225 b_Intercept 35.4004983171 0.0173919656
#> 226 b_Intercept 35.4135161999 0.0176837180
#> 227 b_Intercept 35.4265340827 0.0179784659
#> 228 b_Intercept 35.4395519655 0.0182762115
#> 229 b_Intercept 35.4525698483 0.0185769547
#> 230 b_Intercept 35.4655877311 0.0188806937
#> 231 b_Intercept 35.4786056139 0.0191880659
#> 232 b_Intercept 35.4916234967 0.0194985908
#> 233 b_Intercept 35.5046413795 0.0198120799
#> 234 b_Intercept 35.5176592623 0.0201285184
#> 235 b_Intercept 35.5306771451 0.0204478892
#> 236 b_Intercept 35.5436950279 0.0207702832
#> 237 b_Intercept 35.5567129107 0.0210962360
#> 238 b_Intercept 35.5697307935 0.0214250325
#> 239 b_Intercept 35.5827486763 0.0217566424
#> 240 b_Intercept 35.5957665591 0.0220910334
#> 241 b_Intercept 35.6087844419 0.0224281711
#> 242 b_Intercept 35.6218023247 0.0227683780
#> 243 b_Intercept 35.6348202075 0.0231116006
#> 244 b_Intercept 35.6478380902 0.0234574210
#> 245 b_Intercept 35.6608559730 0.0238057951
#> 246 b_Intercept 35.6738738558 0.0241566774
#> 247 b_Intercept 35.6868917386 0.0245100214
#> 248 b_Intercept 35.6999096214 0.0248663216
#> 249 b_Intercept 35.7129275042 0.0252250490
#> 250 b_Intercept 35.7259453870 0.0255860538
#> 251 b_Intercept 35.7389632698 0.0259492855
#> 252 b_Intercept 35.7519811526 0.0263146935
#> 253 b_Intercept 35.7649990354 0.0266823412
#> 254 b_Intercept 35.7780169182 0.0270524902
#> 255 b_Intercept 35.7910348010 0.0274246270
#> 256 b_Intercept 35.8040526838 0.0277987026
#> 257 b_Intercept 35.8170705666 0.0281746690
#> 258 b_Intercept 35.8300884494 0.0285524790
#> 259 b_Intercept 35.8431063322 0.0289323501
#> 260 b_Intercept 35.8561242150 0.0293141586
#> 261 b_Intercept 35.8691420978 0.0296976453
#> 262 b_Intercept 35.8821599806 0.0300827703
#> 263 b_Intercept 35.8951778634 0.0304694947
#> 264 b_Intercept 35.9081957462 0.0308577815
#> 265 b_Intercept 35.9212136290 0.0312479630
#> 266 b_Intercept 35.9342315118 0.0316396525
#> 267 b_Intercept 35.9472493946 0.0320327840
#> 268 b_Intercept 35.9602672774 0.0324273305
#> 269 b_Intercept 35.9732851602 0.0328232669
#> 270 b_Intercept 35.9863030430 0.0332206671
#> 271 b_Intercept 35.9993209257 0.0336196736
#> 272 b_Intercept 36.0123388085 0.0340199956
#> 273 b_Intercept 36.0253566913 0.0344216187
#> 274 b_Intercept 36.0383745741 0.0348245310
#> 275 b_Intercept 36.0513924569 0.0352287223
#> 276 b_Intercept 36.0644103397 0.0356343990
#> 277 b_Intercept 36.0774282225 0.0360414712
#> 278 b_Intercept 36.0904461053 0.0364498060
#> 279 b_Intercept 36.1034639881 0.0368594047
#> 280 b_Intercept 36.1164818709 0.0372702710
#> 281 b_Intercept 36.1294997537 0.0376824104
#> 282 b_Intercept 36.1425176365 0.0380961789
#> 283 b_Intercept 36.1555355193 0.0385112597
#> 284 b_Intercept 36.1685534021 0.0389276601
#> 285 b_Intercept 36.1815712849 0.0393453990
#> 286 b_Intercept 36.1945891677 0.0397644978
#> 287 b_Intercept 36.2076070505 0.0401851090
#> 288 b_Intercept 36.2206249333 0.0406074102
#> 289 b_Intercept 36.2336428161 0.0410311805
#> 290 b_Intercept 36.2466606989 0.0414564577
#> 291 b_Intercept 36.2596785817 0.0418832825
#> 292 b_Intercept 36.2726964645 0.0423116994
#> 293 b_Intercept 36.2857143473 0.0427420796
#> 294 b_Intercept 36.2987322301 0.0431743397
#> 295 b_Intercept 36.3117501129 0.0436083975
#> 296 b_Intercept 36.3247679957 0.0440443190
#> 297 b_Intercept 36.3377858785 0.0444821740
#> 298 b_Intercept 36.3508037612 0.0449220584
#> 299 b_Intercept 36.3638216440 0.0453646241
#> 300 b_Intercept 36.3768395268 0.0458094317
#> 301 b_Intercept 36.3898574096 0.0462565772
#> 302 b_Intercept 36.4028752924 0.0467061614
#> 303 b_Intercept 36.4158931752 0.0471582895
#> 304 b_Intercept 36.4289110580 0.0476133762
#> 305 b_Intercept 36.4419289408 0.0480717721
#> 306 b_Intercept 36.4549468236 0.0485331592
#> 307 b_Intercept 36.4679647064 0.0489976702
#> 308 b_Intercept 36.4809825892 0.0494654421
#> 309 b_Intercept 36.4940004720 0.0499366162
#> 310 b_Intercept 36.5070183548 0.0504121153
#> 311 b_Intercept 36.5200362376 0.0508916817
#> 312 b_Intercept 36.5330541204 0.0513752232
#> 313 b_Intercept 36.5460720032 0.0518629015
#> 314 b_Intercept 36.5590898860 0.0523548803
#> 315 b_Intercept 36.5721077688 0.0528514543
#> 316 b_Intercept 36.5851256516 0.0533538947
#> 317 b_Intercept 36.5981435344 0.0538612668
#> 318 b_Intercept 36.6111614172 0.0543737396
#> 319 b_Intercept 36.6241793000 0.0548914811
#> 320 b_Intercept 36.6371971828 0.0554146578
#> 321 b_Intercept 36.6502150656 0.0559441625
#> 322 b_Intercept 36.6632329484 0.0564803886
#> 323 b_Intercept 36.6762508312 0.0570226441
#> 324 b_Intercept 36.6892687139 0.0575710740
#> 325 b_Intercept 36.7022865967 0.0581258172
#> 326 b_Intercept 36.7153044795 0.0586870061
#> 327 b_Intercept 36.7283223623 0.0592562631
#> 328 b_Intercept 36.7413402451 0.0598326269
#> 329 b_Intercept 36.7543581279 0.0604158409
#> 330 b_Intercept 36.7673760107 0.0610059851
#> 331 b_Intercept 36.7803938935 0.0616031285
#> 332 b_Intercept 36.7934117763 0.0622076455
#> 333 b_Intercept 36.8064296591 0.0628209040
#> 334 b_Intercept 36.8194475419 0.0634412914
#> 335 b_Intercept 36.8324654247 0.0640688024
#> 336 b_Intercept 36.8454833075 0.0647034176
#> 337 b_Intercept 36.8585011903 0.0653451037
#> 338 b_Intercept 36.8715190731 0.0659947919
#> 339 b_Intercept 36.8845369559 0.0666522995
#> 340 b_Intercept 36.8975548387 0.0673165953
#> 341 b_Intercept 36.9105727215 0.0679875630
#> 342 b_Intercept 36.9235906043 0.0686650725
#> 343 b_Intercept 36.9366084871 0.0693489806
#> 344 b_Intercept 36.9496263699 0.0700405483
#> 345 b_Intercept 36.9626442527 0.0707382573
#> 346 b_Intercept 36.9756621355 0.0714416898
#> 347 b_Intercept 36.9886800183 0.0721506370
#> 348 b_Intercept 37.0016979011 0.0728648817
#> 349 b_Intercept 37.0147157839 0.0735844912
#> 350 b_Intercept 37.0277336667 0.0743098323
#> 351 b_Intercept 37.0407515494 0.0750395875
#> 352 b_Intercept 37.0537694322 0.0757735112
#> 353 b_Intercept 37.0667873150 0.0765113576
#> 354 b_Intercept 37.0798051978 0.0772528813
#> 355 b_Intercept 37.0928230806 0.0779983246
#> 356 b_Intercept 37.1058409634 0.0787471774
#> 357 b_Intercept 37.1188588462 0.0794988269
#> 358 b_Intercept 37.1318767290 0.0802530595
#> 359 b_Intercept 37.1448946118 0.0810096718
#> 360 b_Intercept 37.1579124946 0.0817684713
#> 361 b_Intercept 37.1709303774 0.0825297269
#> 362 b_Intercept 37.1839482602 0.0832927659
#> 363 b_Intercept 37.1969661430 0.0840574335
#> 364 b_Intercept 37.2099840258 0.0848236286
#> 365 b_Intercept 37.2230019086 0.0855912693
#> 366 b_Intercept 37.2360197914 0.0863603999
#> 367 b_Intercept 37.2490376742 0.0871311398
#> 368 b_Intercept 37.2620555570 0.0879032392
#> 369 b_Intercept 37.2750734398 0.0886767404
#> 370 b_Intercept 37.2880913226 0.0894517082
#> 371 b_Intercept 37.3011092054 0.0902282300
#> 372 b_Intercept 37.3141270882 0.0910067530
#> 373 b_Intercept 37.3271449710 0.0917873764
#> 374 b_Intercept 37.3401628538 0.0925701258
#> 375 b_Intercept 37.3531807366 0.0933552126
#> 376 b_Intercept 37.3661986194 0.0941428677
#> 377 b_Intercept 37.3792165022 0.0949333396
#> 378 b_Intercept 37.3922343849 0.0957278814
#> 379 b_Intercept 37.4052522677 0.0965260326
#> 380 b_Intercept 37.4182701505 0.0973281074
#> 381 b_Intercept 37.4312880333 0.0981344316
#> 382 b_Intercept 37.4443059161 0.0989453387
#> 383 b_Intercept 37.4573237989 0.0997616937
#> 384 b_Intercept 37.4703416817 0.1005844624
#> 385 b_Intercept 37.4833595645 0.1014131052
#> 386 b_Intercept 37.4963774473 0.1022479612
#> 387 b_Intercept 37.5093953301 0.1030893631
#> 388 b_Intercept 37.5224132129 0.1039376356
#> 389 b_Intercept 37.5354310957 0.1047945764
#> 390 b_Intercept 37.5484489785 0.1056597934
#> 391 b_Intercept 37.5614668613 0.1065329559
#> 392 b_Intercept 37.5744847441 0.1074142987
#> 393 b_Intercept 37.5875026269 0.1083040345
#> 394 b_Intercept 37.6005205097 0.1092024971
#> 395 b_Intercept 37.6135383925 0.1101120143
#> 396 b_Intercept 37.6265562753 0.1110304574
#> 397 b_Intercept 37.6395741581 0.1119578803
#> 398 b_Intercept 37.6525920409 0.1128943056
#> 399 b_Intercept 37.6656099237 0.1138397233
#> 400 b_Intercept 37.6786278065 0.1147950895
#> 401 b_Intercept 37.6916456893 0.1157606568
#> 402 b_Intercept 37.7046635721 0.1167348181
#> 403 b_Intercept 37.7176814549 0.1177173682
#> 404 b_Intercept 37.7306993376 0.1187080688
#> 405 b_Intercept 37.7437172204 0.1197066487
#> 406 b_Intercept 37.7567351032 0.1207142723
#> 407 b_Intercept 37.7697529860 0.1217293026
#> 408 b_Intercept 37.7827708688 0.1227508497
#> 409 b_Intercept 37.7957887516 0.1237784729
#> 410 b_Intercept 37.8088066344 0.1248117071
#> 411 b_Intercept 37.8218245172 0.1258502119
#> 412 b_Intercept 37.8348424000 0.1268941521
#> 413 b_Intercept 37.8478602828 0.1279417456
#> 414 b_Intercept 37.8608781656 0.1289924270
#> 415 b_Intercept 37.8738960484 0.1300456225
#> 416 b_Intercept 37.8869139312 0.1311007511
#> 417 b_Intercept 37.8999318140 0.1321572835
#> 418 b_Intercept 37.9129496968 0.1332143120
#> 419 b_Intercept 37.9259675796 0.1342710811
#> 420 b_Intercept 37.9389854624 0.1353270234
#> 421 b_Intercept 37.9520033452 0.1363815828
#> 422 b_Intercept 37.9650212280 0.1374342165
#> 423 b_Intercept 37.9780391108 0.1384836502
#> 424 b_Intercept 37.9910569936 0.1395296589
#> 425 b_Intercept 38.0040748764 0.1405719198
#> 426 b_Intercept 38.0170927592 0.1416100170
#> 427 b_Intercept 38.0301106420 0.1426435631
#> 428 b_Intercept 38.0431285248 0.1436719288
#> 429 b_Intercept 38.0561464076 0.1446937554
#> 430 b_Intercept 38.0691642904 0.1457099153
#> 431 b_Intercept 38.0821821731 0.1467202163
#> 432 b_Intercept 38.0952000559 0.1477245030
#> 433 b_Intercept 38.1082179387 0.1487226575
#> 434 b_Intercept 38.1212358215 0.1497136774
#> 435 b_Intercept 38.1342537043 0.1506976870
#> 436 b_Intercept 38.1472715871 0.1516755328
#> 437 b_Intercept 38.1602894699 0.1526473131
#> 438 b_Intercept 38.1733073527 0.1536131611
#> 439 b_Intercept 38.1863252355 0.1545732446
#> 440 b_Intercept 38.1993431183 0.1555265131
#> 441 b_Intercept 38.2123610011 0.1564745285
#> 442 b_Intercept 38.2253788839 0.1574177619
#> 443 b_Intercept 38.2383967667 0.1583565499
#> 444 b_Intercept 38.2514146495 0.1592912516
#> 445 b_Intercept 38.2644325323 0.1602220355
#> 446 b_Intercept 38.2774504151 0.1611490770
#> 447 b_Intercept 38.2904682979 0.1620735680
#> 448 b_Intercept 38.3034861807 0.1629959512
#> 449 b_Intercept 38.3165040635 0.1639166742
#> 450 b_Intercept 38.3295219463 0.1648361874
#> 451 b_Intercept 38.3425398291 0.1657549348
#> 452 b_Intercept 38.3555577119 0.1666736293
#> 453 b_Intercept 38.3685755947 0.1675927678
#> 454 b_Intercept 38.3815934775 0.1685127609
#> 455 b_Intercept 38.3946113603 0.1694340033
#> 456 b_Intercept 38.4076292431 0.1703568713
#> 457 b_Intercept 38.4206471259 0.1712823802
#> 458 b_Intercept 38.4336650086 0.1722104253
#> 459 b_Intercept 38.4466828914 0.1731412361
#> 460 b_Intercept 38.4597007742 0.1740750341
#> 461 b_Intercept 38.4727186570 0.1750120079
#> 462 b_Intercept 38.4857365398 0.1759526072
#> 463 b_Intercept 38.4987544226 0.1768973202
#> 464 b_Intercept 38.5117723054 0.1778455238
#> 465 b_Intercept 38.5247901882 0.1787971845
#> 466 b_Intercept 38.5378080710 0.1797522270
#> 467 b_Intercept 38.5508259538 0.1807105342
#> 468 b_Intercept 38.5638438366 0.1816724410
#> 469 b_Intercept 38.5768617194 0.1826373024
#> 470 b_Intercept 38.5898796022 0.1836045179
#> 471 b_Intercept 38.6028974850 0.1845737254
#> 472 b_Intercept 38.6159153678 0.1855445219
#> 473 b_Intercept 38.6289332506 0.1865164669
#> 474 b_Intercept 38.6419511334 0.1874889782
#> 475 b_Intercept 38.6549690162 0.1884611639
#> 476 b_Intercept 38.6679868990 0.1894324071
#> 477 b_Intercept 38.6810047818 0.1904020600
#> 478 b_Intercept 38.6940226646 0.1913694452
#> 479 b_Intercept 38.7070405474 0.1923334349
#> 480 b_Intercept 38.7200584302 0.1932926061
#> 481 b_Intercept 38.7330763130 0.1942466975
#> 482 b_Intercept 38.7460941958 0.1951949044
#> 483 b_Intercept 38.7591120786 0.1961364093
#> 484 b_Intercept 38.7721299613 0.1970703832
#> 485 b_Intercept 38.7851478441 0.1979940359
#> 486 b_Intercept 38.7981657269 0.1989071944
#> 487 b_Intercept 38.8111836097 0.1998096562
#> 488 b_Intercept 38.8242014925 0.2007005847
#> 489 b_Intercept 38.8372193753 0.2015791513
#> 490 b_Intercept 38.8502372581 0.2024442124
#> 491 b_Intercept 38.8632551409 0.2032913752
#> 492 b_Intercept 38.8762730237 0.2041232072
#> 493 b_Intercept 38.8892909065 0.2049389785
#> 494 b_Intercept 38.9023087893 0.2057379857
#> 495 b_Intercept 38.9153266721 0.2065195525
#> 496 b_Intercept 38.9283445549 0.2072807549
#> 497 b_Intercept 38.9413624377 0.2080200349
#> 498 b_Intercept 38.9543803205 0.2087396850
#> 499 b_Intercept 38.9673982033 0.2094392295
#> 500 b_Intercept 38.9804160861 0.2101182329
#> 501 b_Intercept 38.9934339689 0.2107763002
#> 502 b_Intercept 39.0064518517 0.2114083619
#> 503 b_Intercept 39.0194697345 0.2120174526
#> 504 b_Intercept 39.0324876173 0.2126046103
#> 505 b_Intercept 39.0455055001 0.2131696957
#> 506 b_Intercept 39.0585233829 0.2137126146
#> 507 b_Intercept 39.0715412657 0.2142324315
#> 508 b_Intercept 39.0845591485 0.2147248739
#> 509 b_Intercept 39.0975770313 0.2151952667
#> 510 b_Intercept 39.1105949141 0.2156437714
#> 511 b_Intercept 39.1236127968 0.2160705903
#> 512 b_Intercept 39.1366306796 0.2164759659
#> 513 b_Intercept 39.1496485624 0.2168573534
#> 514 b_Intercept 39.1626664452 0.2172153033
#> 515 b_Intercept 39.1756843280 0.2175531242
#> 516 b_Intercept 39.1887022108 0.2178712611
#> 517 b_Intercept 39.2017200936 0.2181701873
#> 518 b_Intercept 39.2147379764 0.2184504027
#> 519 b_Intercept 39.2277558592 0.2187083982
#> 520 b_Intercept 39.2407737420 0.2189484867
#> 521 b_Intercept 39.2537916248 0.2191719828
#> 522 b_Intercept 39.2668095076 0.2193794939
#> 523 b_Intercept 39.2798273904 0.2195716371
#> 524 b_Intercept 39.2928452732 0.2197482479
#> 525 b_Intercept 39.3058631560 0.2199080394
#> 526 b_Intercept 39.3188810388 0.2200548344
#> 527 b_Intercept 39.3318989216 0.2201892608
#> 528 b_Intercept 39.3449168044 0.2203119397
#> 529 b_Intercept 39.3579346872 0.2204234836
#> 530 b_Intercept 39.3709525700 0.2205230098
#> 531 b_Intercept 39.3839704528 0.2206117638
#> 532 b_Intercept 39.3969883356 0.2206915350
#> 533 b_Intercept 39.4100062184 0.2207628434
#> 534 b_Intercept 39.4230241012 0.2208261865
#> 535 b_Intercept 39.4360419840 0.2208820386
#> 536 b_Intercept 39.4490598668 0.2209292477
#> 537 b_Intercept 39.4620777496 0.2209699444
#> 538 b_Intercept 39.4750956323 0.2210046279
#> 539 b_Intercept 39.4881135151 0.2210336100
#> 540 b_Intercept 39.5011313979 0.2210571717
#> 541 b_Intercept 39.5141492807 0.2210751992
#> 542 b_Intercept 39.5271671635 0.2210873670
#> 543 b_Intercept 39.5401850463 0.2210948324
#> 544 b_Intercept 39.5532029291 0.2210976918
#> 545 b_Intercept 39.5662208119 0.2210960104
#> 546 b_Intercept 39.5792386947 0.2210898224
#> 547 b_Intercept 39.5922565775 0.2210783431
#> 548 b_Intercept 39.6052744603 0.2210618010
#> 549 b_Intercept 39.6182923431 0.2210405546
#> 550 b_Intercept 39.6313102259 0.2210144730
#> 551 b_Intercept 39.6443281087 0.2209834007
#> 552 b_Intercept 39.6573459915 0.2209471581
#> 553 b_Intercept 39.6703638743 0.2209039834
#> 554 b_Intercept 39.6833817571 0.2208549756
#> 555 b_Intercept 39.6963996399 0.2207998921
#> 556 b_Intercept 39.7094175227 0.2207384465
#> 557 b_Intercept 39.7224354055 0.2206703392
#> 558 b_Intercept 39.7354532883 0.2205945741
#> 559 b_Intercept 39.7484711711 0.2205099802
#> 560 b_Intercept 39.7614890539 0.2204174996
#> 561 b_Intercept 39.7745069367 0.2203167911
#> 562 b_Intercept 39.7875248195 0.2202075131
#> 563 b_Intercept 39.8005427023 0.2200893239
#> 564 b_Intercept 39.8135605850 0.2199600334
#> 565 b_Intercept 39.8265784678 0.2198201134
#> 566 b_Intercept 39.8395963506 0.2196700442
#> 567 b_Intercept 39.8526142334 0.2195095184
#> 568 b_Intercept 39.8656321162 0.2193382395
#> 569 b_Intercept 39.8786499990 0.2191557883
#> 570 b_Intercept 39.8916678818 0.2189589387
#> 571 b_Intercept 39.9046857646 0.2187503602
#> 572 b_Intercept 39.9177036474 0.2185298410
#> 573 b_Intercept 39.9307215302 0.2182971870
#> 574 b_Intercept 39.9437394130 0.2180522227
#> 575 b_Intercept 39.9567572958 0.2177934127
#> 576 b_Intercept 39.9697751786 0.2175198592
#> 577 b_Intercept 39.9827930614 0.2172335458
#> 578 b_Intercept 39.9958109442 0.2169344119
#> 579 b_Intercept 40.0088288270 0.2166224176
#> 580 b_Intercept 40.0218467098 0.2162975431
#> 581 b_Intercept 40.0348645926 0.2159571483
#> 582 b_Intercept 40.0478824754 0.2156030691
#> 583 b_Intercept 40.0609003582 0.2152362571
#> 584 b_Intercept 40.0739182410 0.2148568049
#> 585 b_Intercept 40.0869361238 0.2144648225
#> 586 b_Intercept 40.0999540066 0.2140600834
#> 587 b_Intercept 40.1129718894 0.2136401702
#> 588 b_Intercept 40.1259897722 0.2132083081
#> 589 b_Intercept 40.1390076550 0.2127646939
#> 590 b_Intercept 40.1520255378 0.2123095356
#> 591 b_Intercept 40.1650434205 0.2118430521
#> 592 b_Intercept 40.1780613033 0.2113641201
#> 593 b_Intercept 40.1910791861 0.2108728835
#> 594 b_Intercept 40.2040970689 0.2103712353
#> 595 b_Intercept 40.2171149517 0.2098594353
#> 596 b_Intercept 40.2301328345 0.2093377465
#> 597 b_Intercept 40.2431507173 0.2088064344
#> 598 b_Intercept 40.2561686001 0.2082637763
#> 599 b_Intercept 40.2691864829 0.2077117566
#> 600 b_Intercept 40.2822043657 0.2071511098
#> 601 b_Intercept 40.2952222485 0.2065820939
#> 602 b_Intercept 40.3082401313 0.2060049630
#> 603 b_Intercept 40.3212580141 0.2054196182
#> 604 b_Intercept 40.3342758969 0.2048250364
#> 605 b_Intercept 40.3472937797 0.2042232313
#> 606 b_Intercept 40.3603116625 0.2036144180
#> 607 b_Intercept 40.3733295453 0.2029988030
#> 608 b_Intercept 40.3863474281 0.2023765841
#> 609 b_Intercept 40.3993653109 0.2017470682
#> 610 b_Intercept 40.4123831937 0.2011106010
#> 611 b_Intercept 40.4254010765 0.2004681697
#> 612 b_Intercept 40.4384189593 0.1998199169
#> 613 b_Intercept 40.4514368421 0.1991659758
#> 614 b_Intercept 40.4644547249 0.1985064700
#> 615 b_Intercept 40.4774726077 0.1978402424
#> 616 b_Intercept 40.4904904905 0.1971685517
#> 617 b_Intercept 40.5035083733 0.1964916638
#> 618 b_Intercept 40.5165262560 0.1958096552
#> 619 b_Intercept 40.5295441388 0.1951225958
#> 620 b_Intercept 40.5425620216 0.1944302378
#> 621 b_Intercept 40.5555799044 0.1937319390
#> 622 b_Intercept 40.5685977872 0.1930287959
#> 623 b_Intercept 40.5816156700 0.1923208525
#> 624 b_Intercept 40.5946335528 0.1916081508
#> 625 b_Intercept 40.6076514356 0.1908907310
#> 626 b_Intercept 40.6206693184 0.1901678905
#> 627 b_Intercept 40.6336872012 0.1894399097
#> 628 b_Intercept 40.6467050840 0.1887073611
#> 629 b_Intercept 40.6597229668 0.1879702887
#> 630 b_Intercept 40.6727408496 0.1872287390
#> 631 b_Intercept 40.6857587324 0.1864827615
#> 632 b_Intercept 40.6987766152 0.1857313086
#> 633 b_Intercept 40.7117944980 0.1849755175
#> 634 b_Intercept 40.7248123808 0.1842155287
#> 635 b_Intercept 40.7378302636 0.1834514159
#> 636 b_Intercept 40.7508481464 0.1826832575
#> 637 b_Intercept 40.7638660292 0.1819108276
#> 638 b_Intercept 40.7768839120 0.1811338307
#> 639 b_Intercept 40.7899017948 0.1803531316
#> 640 b_Intercept 40.8029196776 0.1795688341
#> 641 b_Intercept 40.8159375604 0.1787810450
#> 642 b_Intercept 40.8289554432 0.1779898743
#> 643 b_Intercept 40.8419733260 0.1771948862
#> 644 b_Intercept 40.8549912087 0.1763965195
#> 645 b_Intercept 40.8680090915 0.1755952025
#> 646 b_Intercept 40.8810269743 0.1747910500
#> 647 b_Intercept 40.8940448571 0.1739841755
#> 648 b_Intercept 40.9070627399 0.1731746879
#> 649 b_Intercept 40.9200806227 0.1723620609
#> 650 b_Intercept 40.9330985055 0.1715471033
#> 651 b_Intercept 40.9461163883 0.1707299030
#> 652 b_Intercept 40.9591342711 0.1699105405
#> 653 b_Intercept 40.9721521539 0.1690890882
#> 654 b_Intercept 40.9851700367 0.1682654180
#> 655 b_Intercept 40.9981879195 0.1674394455
#> 656 b_Intercept 41.0112058023 0.1666115501
#> 657 b_Intercept 41.0242236851 0.1657817424
#> 658 b_Intercept 41.0372415679 0.1649500203
#> 659 b_Intercept 41.0502594507 0.1641163688
#> 660 b_Intercept 41.0632773335 0.1632803589
#> 661 b_Intercept 41.0762952163 0.1624421347
#> 662 b_Intercept 41.0893130991 0.1616017699
#> 663 b_Intercept 41.1023309819 0.1607591679
#> 664 b_Intercept 41.1153488647 0.1599142180
#> 665 b_Intercept 41.1283667475 0.1590667470
#> 666 b_Intercept 41.1413846303 0.1582159109
#> 667 b_Intercept 41.1544025131 0.1573621696
#> 668 b_Intercept 41.1674203959 0.1565053372
#> 669 b_Intercept 41.1804382787 0.1556452171
#> 670 b_Intercept 41.1934561615 0.1547816029
#> 671 b_Intercept 41.2064740442 0.1539138100
#> 672 b_Intercept 41.2194919270 0.1530413065
#> 673 b_Intercept 41.2325098098 0.1521644470
#> 674 b_Intercept 41.2455276926 0.1512829866
#> 675 b_Intercept 41.2585455754 0.1503966786
#> 676 b_Intercept 41.2715634582 0.1495052746
#> 677 b_Intercept 41.2845813410 0.1486073038
#> 678 b_Intercept 41.2975992238 0.1477032257
#> 679 b_Intercept 41.3106171066 0.1467931405
#> 680 b_Intercept 41.3236349894 0.1458768212
#> 681 b_Intercept 41.3366528722 0.1449540492
#> 682 b_Intercept 41.3496707550 0.1440243701
#> 683 b_Intercept 41.3626886378 0.1430861016
#> 684 b_Intercept 41.3757065206 0.1421406778
#> 685 b_Intercept 41.3887244034 0.1411879552
#> 686 b_Intercept 41.4017422862 0.1402278079
#> 687 b_Intercept 41.4147601690 0.1392601279
#> 688 b_Intercept 41.4277780518 0.1382838057
#> 689 b_Intercept 41.4407959346 0.1372986914
#> 690 b_Intercept 41.4538138174 0.1363058588
#> 691 b_Intercept 41.4668317002 0.1353053224
#> 692 b_Intercept 41.4798495830 0.1342971199
#> 693 b_Intercept 41.4928674658 0.1332813124
#> 694 b_Intercept 41.5058853486 0.1322563102
#> 695 b_Intercept 41.5189032314 0.1312236917
#> 696 b_Intercept 41.5319211142 0.1301839662
#> 697 b_Intercept 41.5449389969 0.1291373329
#> 698 b_Intercept 41.5579568797 0.1280840138
#> 699 b_Intercept 41.5709747625 0.1270239366
#> 700 b_Intercept 41.5839926453 0.1259564904
#> 701 b_Intercept 41.5970105281 0.1248834243
#> 702 b_Intercept 41.6100284109 0.1238050823
#> 703 b_Intercept 41.6230462937 0.1227218264
#> 704 b_Intercept 41.6360641765 0.1216340355
#> 705 b_Intercept 41.6490820593 0.1205415858
#> 706 b_Intercept 41.6620999421 0.1194452348
#> 707 b_Intercept 41.6751178249 0.1183459328
#> 708 b_Intercept 41.6881357077 0.1172441351
#> 709 b_Intercept 41.7011535905 0.1161403055
#> 710 b_Intercept 41.7141714733 0.1150349154
#> 711 b_Intercept 41.7271893561 0.1139283826
#> 712 b_Intercept 41.7402072389 0.1128215967
#> 713 b_Intercept 41.7532251217 0.1117150713
#> 714 b_Intercept 41.7662430045 0.1106092946
#> 715 b_Intercept 41.7792608873 0.1095047528
#> 716 b_Intercept 41.7922787701 0.1084020993
#> 717 b_Intercept 41.8052966529 0.1073023620
#> 718 b_Intercept 41.8183145357 0.1062056433
#> 719 b_Intercept 41.8313324185 0.1051123977
#> 720 b_Intercept 41.8443503013 0.1040230706
#> 721 b_Intercept 41.8573681841 0.1029380976
#> 722 b_Intercept 41.8703860669 0.1018588097
#> 723 b_Intercept 41.8834039497 0.1007855292
#> 724 b_Intercept 41.8964218324 0.0997181109
#> 725 b_Intercept 41.9094397152 0.0986569187
#> 726 b_Intercept 41.9224575980 0.0976023020
#> 727 b_Intercept 41.9354754808 0.0965545962
#> 728 b_Intercept 41.9484933636 0.0955161640
#> 729 b_Intercept 41.9615112464 0.0944855416
#> 730 b_Intercept 41.9745291292 0.0934629168
#> 731 b_Intercept 41.9875470120 0.0924485365
#> 732 b_Intercept 42.0005648948 0.0914426321
#> 733 b_Intercept 42.0135827776 0.0904462014
#> 734 b_Intercept 42.0266006604 0.0894604274
#> 735 b_Intercept 42.0396185432 0.0884838381
#> 736 b_Intercept 42.0526364260 0.0875165797
#> 737 b_Intercept 42.0656543088 0.0865587846
#> 738 b_Intercept 42.0786721916 0.0856105719
#> 739 b_Intercept 42.0916900744 0.0846738567
#> 740 b_Intercept 42.1047079572 0.0837478468
#> 741 b_Intercept 42.1177258400 0.0828317280
#> 742 b_Intercept 42.1307437228 0.0819255503
#> 743 b_Intercept 42.1437616056 0.0810293531
#> 744 b_Intercept 42.1567794884 0.0801432372
#> 745 b_Intercept 42.1697973712 0.0792698309
#> 746 b_Intercept 42.1828152540 0.0784064552
#> 747 b_Intercept 42.1958331368 0.0775530983
#> 748 b_Intercept 42.2088510196 0.0767097413
#> 749 b_Intercept 42.2218689024 0.0758763582
#> 750 b_Intercept 42.2348867852 0.0750539465
#> 751 b_Intercept 42.2479046679 0.0742430890
#> 752 b_Intercept 42.2609225507 0.0734420428
#> 753 b_Intercept 42.2739404335 0.0726507494
#> 754 b_Intercept 42.2869583163 0.0718691457
#> 755 b_Intercept 42.2999761991 0.0710971645
#> 756 b_Intercept 42.3129940819 0.0703366325
#> 757 b_Intercept 42.3260119647 0.0695862071
#> 758 b_Intercept 42.3390298475 0.0688451101
#> 759 b_Intercept 42.3520477303 0.0681132541
#> 760 b_Intercept 42.3650656131 0.0673905486
#> 761 b_Intercept 42.3780834959 0.0666771182
#> 762 b_Intercept 42.3911013787 0.0659748376
#> 763 b_Intercept 42.4041192615 0.0652813414
#> 764 b_Intercept 42.4171371443 0.0645965251
#> 765 b_Intercept 42.4301550271 0.0639202820
#> 766 b_Intercept 42.4431729099 0.0632525032
#> 767 b_Intercept 42.4561907927 0.0625940719
#> 768 b_Intercept 42.4692086755 0.0619450660
#> 769 b_Intercept 42.4822265583 0.0613040945
#> 770 b_Intercept 42.4952444411 0.0606710375
#> 771 b_Intercept 42.5082623239 0.0600457732
#> 772 b_Intercept 42.5212802067 0.0594281784
#> 773 b_Intercept 42.5342980895 0.0588197310
#> 774 b_Intercept 42.5473159723 0.0582190197
#> 775 b_Intercept 42.5603338551 0.0576254966
#> 776 b_Intercept 42.5733517379 0.0570390295
#> 777 b_Intercept 42.5863696206 0.0564594848
#> 778 b_Intercept 42.5993875034 0.0558870019
#> 779 b_Intercept 42.6124053862 0.0553226440
#> 780 b_Intercept 42.6254232690 0.0547646946
#> 781 b_Intercept 42.6384411518 0.0542130141
#> 782 b_Intercept 42.6514590346 0.0536674620
#> 783 b_Intercept 42.6644769174 0.0531278976
#> 784 b_Intercept 42.6774948002 0.0525949594
#> 785 b_Intercept 42.6905126830 0.0520684059
#> 786 b_Intercept 42.7035305658 0.0515473062
#> 787 b_Intercept 42.7165484486 0.0510315179
#> 788 b_Intercept 42.7295663314 0.0505208989
#> 789 b_Intercept 42.7425842142 0.0500153071
#> 790 b_Intercept 42.7556020970 0.0495156979
#> 791 b_Intercept 42.7686199798 0.0490209139
#> 792 b_Intercept 42.7816378626 0.0485306311
#> 793 b_Intercept 42.7946557454 0.0480447120
#> 794 b_Intercept 42.8076736282 0.0475630201
#> 795 b_Intercept 42.8206915110 0.0470856498
#> 796 b_Intercept 42.8337093938 0.0466130180
#> 797 b_Intercept 42.8467272766 0.0461441162
#> 798 b_Intercept 42.8597451594 0.0456788169
#> 799 b_Intercept 42.8727630422 0.0452169947
#> 800 b_Intercept 42.8857809250 0.0447585260
#> 801 b_Intercept 42.8987988078 0.0443037646
#> 802 b_Intercept 42.9118166906 0.0438524085
#> 803 b_Intercept 42.9248345734 0.0434039656
#> 804 b_Intercept 42.9378524561 0.0429583254
#> 805 b_Intercept 42.9508703389 0.0425153797
#> 806 b_Intercept 42.9638882217 0.0420750228
#> 807 b_Intercept 42.9769061045 0.0416377383
#> 808 b_Intercept 42.9899239873 0.0412028196
#> 809 b_Intercept 43.0029418701 0.0407701216
#> 810 b_Intercept 43.0159597529 0.0403395535
#> 811 b_Intercept 43.0289776357 0.0399110271
#> 812 b_Intercept 43.0419955185 0.0394845964
#> 813 b_Intercept 43.0550134013 0.0390603654
#> 814 b_Intercept 43.0680312841 0.0386378723
#> 815 b_Intercept 43.0810491669 0.0382170438
#> 816 b_Intercept 43.0940670497 0.0377978090
#> 817 b_Intercept 43.1070849325 0.0373800996
#> 818 b_Intercept 43.1201028153 0.0369640856
#> 819 b_Intercept 43.1331206981 0.0365495700
#> 820 b_Intercept 43.1461385809 0.0361363502
#> 821 b_Intercept 43.1591564637 0.0357243717
#> 822 b_Intercept 43.1721743465 0.0353135826
#> 823 b_Intercept 43.1851922293 0.0349039332
#> 824 b_Intercept 43.1982101121 0.0344956513
#> 825 b_Intercept 43.2112279949 0.0340883913
#> 826 b_Intercept 43.2242458777 0.0336821101
#> 827 b_Intercept 43.2372637605 0.0332767714
#> 828 b_Intercept 43.2502816433 0.0328723408
#> 829 b_Intercept 43.2632995261 0.0324688642
#> 830 b_Intercept 43.2763174089 0.0320663728
#> 831 b_Intercept 43.2893352916 0.0316646857
#> 832 b_Intercept 43.3023531744 0.0312637823
#> 833 b_Intercept 43.3153710572 0.0308636443
#> 834 b_Intercept 43.3283889400 0.0304642562
#> 835 b_Intercept 43.3414068228 0.0300657430
#> 836 b_Intercept 43.3544247056 0.0296680150
#> 837 b_Intercept 43.3674425884 0.0292710081
#> 838 b_Intercept 43.3804604712 0.0288747230
#> 839 b_Intercept 43.3934783540 0.0284791632
#> 840 b_Intercept 43.4064962368 0.0280843456
#> 841 b_Intercept 43.4195141196 0.0276904726
#> 842 b_Intercept 43.4325320024 0.0272973729
#> 843 b_Intercept 43.4455498852 0.0269050700
#> 844 b_Intercept 43.4585677680 0.0265135913
#> 845 b_Intercept 43.4715856508 0.0261229680
#> 846 b_Intercept 43.4846035336 0.0257333409
#> 847 b_Intercept 43.4976214164 0.0253448265
#> 848 b_Intercept 43.5106392992 0.0249573291
#> 849 b_Intercept 43.5236571820 0.0245709045
#> 850 b_Intercept 43.5366750648 0.0241856131
#> 851 b_Intercept 43.5496929476 0.0238015197
#> 852 b_Intercept 43.5627108304 0.0234189843
#> 853 b_Intercept 43.5757287132 0.0230379411
#> 854 b_Intercept 43.5887465960 0.0226583916
#> 855 b_Intercept 43.6017644788 0.0222804276
#> 856 b_Intercept 43.6147823616 0.0219041459
#> 857 b_Intercept 43.6278002443 0.0215297070
#> 858 b_Intercept 43.6408181271 0.0211576781
#> 859 b_Intercept 43.6538360099 0.0207877415
#> 860 b_Intercept 43.6668538927 0.0204200190
#> 861 b_Intercept 43.6798717755 0.0200546366
#> 862 b_Intercept 43.6928896583 0.0196917238
#> 863 b_Intercept 43.7059075411 0.0193317738
#> 864 b_Intercept 43.7189254239 0.0189750553
#> 865 b_Intercept 43.7319433067 0.0186213275
#> 866 b_Intercept 43.7449611895 0.0182707367
#> 867 b_Intercept 43.7579790723 0.0179234307
#> 868 b_Intercept 43.7709969551 0.0175795592
#> 869 b_Intercept 43.7840148379 0.0172401373
#> 870 b_Intercept 43.7970327207 0.0169047462
#> 871 b_Intercept 43.8100506035 0.0165733583
#> 872 b_Intercept 43.8230684863 0.0162461238
#> 873 b_Intercept 43.8360863691 0.0159231918
#> 874 b_Intercept 43.8491042519 0.0156049328
#> 875 b_Intercept 43.8621221347 0.0152923849
#> 876 b_Intercept 43.8751400175 0.0149846751
#> 877 b_Intercept 43.8881579003 0.0146819359
#> 878 b_Intercept 43.9011757831 0.0143842950
#> 879 b_Intercept 43.9141936659 0.0140918753
#> 880 b_Intercept 43.9272115487 0.0138055936
#> 881 b_Intercept 43.9402294315 0.0135255298
#> 882 b_Intercept 43.9532473143 0.0132510845
#> 883 b_Intercept 43.9662651971 0.0129823437
#> 884 b_Intercept 43.9792830798 0.0127193853
#> 885 b_Intercept 43.9923009626 0.0124622795
#> 886 b_Intercept 44.0053188454 0.0122125387
#> 887 b_Intercept 44.0183367282 0.0119689776
#> 888 b_Intercept 44.0313546110 0.0117314336
#> 889 b_Intercept 44.0443724938 0.0114999245
#> 890 b_Intercept 44.0573903766 0.0112744585
#> 891 b_Intercept 44.0704082594 0.0110554261
#> 892 b_Intercept 44.0834261422 0.0108436657
#> 893 b_Intercept 44.0964440250 0.0106378749
#> 894 b_Intercept 44.1094619078 0.0104380047
#> 895 b_Intercept 44.1224797906 0.0102439966
#> 896 b_Intercept 44.1354976734 0.0100557823
#> 897 b_Intercept 44.1485155562 0.0098741872
#> 898 b_Intercept 44.1615334390 0.0096987781
#> 899 b_Intercept 44.1745513218 0.0095288058
#> 900 b_Intercept 44.1875692046 0.0093641506
#> 901 b_Intercept 44.2005870874 0.0092046852
#> 902 b_Intercept 44.2136049702 0.0090502747
#> 903 b_Intercept 44.2266228530 0.0089019815
#> 904 b_Intercept 44.2396407358 0.0087583991
#> 905 b_Intercept 44.2526586186 0.0086192908
#> 906 b_Intercept 44.2656765014 0.0084844874
#> 907 b_Intercept 44.2786943842 0.0083538150
#> 908 b_Intercept 44.2917122670 0.0082273992
#> 909 b_Intercept 44.3047301498 0.0081053700
#> 910 b_Intercept 44.3177480326 0.0079867855
#> 911 b_Intercept 44.3307659153 0.0078714577
#> 912 b_Intercept 44.3437837981 0.0077591979
#> 913 b_Intercept 44.3568016809 0.0076498175
#> 914 b_Intercept 44.3698195637 0.0075435569
#> 915 b_Intercept 44.3828374465 0.0074399116
#> 916 b_Intercept 44.3958553293 0.0073384492
#> 917 b_Intercept 44.4088732121 0.0072389912
#> 918 b_Intercept 44.4218910949 0.0071413623
#> 919 b_Intercept 44.4349089777 0.0070453945
#> 920 b_Intercept 44.4479268605 0.0069512460
#> 921 b_Intercept 44.4609447433 0.0068583127
#> 922 b_Intercept 44.4739626261 0.0067664469
#> 923 b_Intercept 44.4869805089 0.0066755071
#> 924 b_Intercept 44.4999983917 0.0065853576
#> 925 b_Intercept 44.5130162745 0.0064959176
#> 926 b_Intercept 44.5260341573 0.0064070461
#> 927 b_Intercept 44.5390520401 0.0063185276
#> 928 b_Intercept 44.5520699229 0.0062302664
#> 929 b_Intercept 44.5650878057 0.0061421740
#> 930 b_Intercept 44.5781056885 0.0060541692
#> 931 b_Intercept 44.5911235713 0.0059661618
#> 932 b_Intercept 44.6041414541 0.0058780646
#> 933 b_Intercept 44.6171593369 0.0057898314
#> 934 b_Intercept 44.6301772197 0.0057014231
#> 935 b_Intercept 44.6431951025 0.0056128075
#> 936 b_Intercept 44.6562129853 0.0055239540
#> 937 b_Intercept 44.6692308680 0.0054347824
#> 938 b_Intercept 44.6822487508 0.0053453509
#> 939 b_Intercept 44.6952666336 0.0052556638
#> 940 b_Intercept 44.7082845164 0.0051657309
#> 941 b_Intercept 44.7213023992 0.0050755675
#> 942 b_Intercept 44.7343202820 0.0049851743
#> 943 b_Intercept 44.7473381648 0.0048945889
#> 944 b_Intercept 44.7603560476 0.0048038804
#> 945 b_Intercept 44.7733739304 0.0047130890
#> 946 b_Intercept 44.7863918132 0.0046222582
#> 947 b_Intercept 44.7994096960 0.0045314344
#> 948 b_Intercept 44.8124275788 0.0044406984
#> 949 b_Intercept 44.8254454616 0.0043501177
#> 950 b_Intercept 44.8384633444 0.0042597447
#> 951 b_Intercept 44.8514812272 0.0041696373
#> 952 b_Intercept 44.8644991100 0.0040798545
#> 953 b_Intercept 44.8775169928 0.0039904733
#> 954 b_Intercept 44.8905348756 0.0039016743
#> 955 b_Intercept 44.9035527584 0.0038134258
#> 956 b_Intercept 44.9165706412 0.0037257875
#> 957 b_Intercept 44.9295885240 0.0036388185
#> 958 b_Intercept 44.9426064068 0.0035525768
#> 959 b_Intercept 44.9556242896 0.0034672364
#> 960 b_Intercept 44.9686421724 0.0033828881
#> 961 b_Intercept 44.9816600552 0.0032994722
#> 962 b_Intercept 44.9946779380 0.0032170387
#> 963 b_Intercept 45.0076958208 0.0031356355
#> 964 b_Intercept 45.0207137035 0.0030553087
#> 965 b_Intercept 45.0337315863 0.0029763769
#> 966 b_Intercept 45.0467494691 0.0028986834
#> 967 b_Intercept 45.0597673519 0.0028222147
#> 968 b_Intercept 45.0727852347 0.0027470041
#> 969 b_Intercept 45.0858031175 0.0026730821
#> 970 b_Intercept 45.0988210003 0.0026005503
#> 971 b_Intercept 45.1118388831 0.0025296681
#> 972 b_Intercept 45.1248567659 0.0024601643
#> 973 b_Intercept 45.1378746487 0.0023920555
#> 974 b_Intercept 45.1508925315 0.0023253563
#> 975 b_Intercept 45.1639104143 0.0022600786
#> 976 b_Intercept 45.1769282971 0.0021964503
#> 977 b_Intercept 45.1899461799 0.0021344391
#> 978 b_Intercept 45.2029640627 0.0020738706
#> 979 b_Intercept 45.2159819455 0.0020147443
#> 980 b_Intercept 45.2289998283 0.0019570578
#> 981 b_Intercept 45.2420177111 0.0019008070
#> 982 b_Intercept 45.2550355939 0.0018463368
#> 983 b_Intercept 45.2680534767 0.0017933156
#> 984 b_Intercept 45.2810713595 0.0017416943
#> 985 b_Intercept 45.2940892423 0.0016914591
#> 986 b_Intercept 45.3071071251 0.0016425948
#> 987 b_Intercept 45.3201250079 0.0015951796
#> 988 b_Intercept 45.3331428907 0.0015493599
#> 989 b_Intercept 45.3461607735 0.0015048405
#> 990 b_Intercept 45.3591786563 0.0014615994
#> 991 b_Intercept 45.3721965390 0.0014196136
#> 992 b_Intercept 45.3852144218 0.0013788595
#> 993 b_Intercept 45.3982323046 0.0013395089
#> 994 b_Intercept 45.4112501874 0.0013014468
#> 995 b_Intercept 45.4242680702 0.0012645193
#> 996 b_Intercept 45.4372859530 0.0012286990
#> 997 b_Intercept 45.4503038358 0.0011939580
#> 998 b_Intercept 45.4633217186 0.0011602682
#> 999 b_Intercept 45.4763396014 0.0011278594
#> 1000 b_Intercept 45.4893574842 0.0010964309
#> 1001 b_Intercept 45.5023753670 0.0010659449
#> 1002 b_Intercept 45.5153932498 0.0010363721
#> 1003 b_Intercept 45.5284111326 0.0010076835
#> 1004 b_Intercept 45.5414290154 0.0009799216
#> 1005 b_Intercept 45.5544468982 0.0009531216
#> 1006 b_Intercept 45.5674647810 0.0009270970
#> 1007 b_Intercept 45.5804826638 0.0009018192
#> 1008 b_Intercept 45.5935005466 0.0008772604
#> 1009 b_Intercept 45.6065184294 0.0008533927
#> 1010 b_Intercept 45.6195363122 0.0008303042
#> 1011 b_Intercept 45.6325541950 0.0008078912
#> 1012 b_Intercept 45.6455720778 0.0007860698
#> 1013 b_Intercept 45.6585899606 0.0007648152
#> 1014 b_Intercept 45.6716078434 0.0007441029
#> 1015 b_Intercept 45.6846257262 0.0007239132
#> 1016 b_Intercept 45.6976436090 0.0007043395
#> 1017 b_Intercept 45.7106614917 0.0006852228
#> 1018 b_Intercept 45.7236793745 0.0006665425
#> 1019 b_Intercept 45.7366972573 0.0006482787
#> 1020 b_Intercept 45.7497151401 0.0006304125
#> 1021 b_Intercept 45.7627330229 0.0006129627
#> 1022 b_Intercept 45.7757509057 0.0005959259
#> 1023 b_Intercept 45.7887687885 0.0005792233
#> 1024 b_Intercept 45.8017866713 0.0005628405
#> 1025 b_wt -6.6622536685 0.0019320947
#> 1026 b_wt -6.6557470324 0.0019421133
#> 1027 b_wt -6.6492403963 0.0019493385
#> 1028 b_wt -6.6427337602 0.0019537788
#> 1029 b_wt -6.6362271241 0.0019554547
#> 1030 b_wt -6.6297204880 0.0019543994
#> 1031 b_wt -6.6232138519 0.0019505607
#> 1032 b_wt -6.6167072157 0.0019436180
#> 1033 b_wt -6.6102005796 0.0019341753
#> 1034 b_wt -6.6036939435 0.0019223274
#> 1035 b_wt -6.5971873074 0.0019081791
#> 1036 b_wt -6.5906806713 0.0018918449
#> 1037 b_wt -6.5841740352 0.0018734487
#> 1038 b_wt -6.5776673991 0.0018527907
#> 1039 b_wt -6.5711607630 0.0018303661
#> 1040 b_wt -6.5646541269 0.0018063985
#> 1041 b_wt -6.5581474908 0.0017810465
#> 1042 b_wt -6.5516408547 0.0017544729
#> 1043 b_wt -6.5451342186 0.0017268435
#> 1044 b_wt -6.5386275825 0.0016982496
#> 1045 b_wt -6.5321209464 0.0016689448
#> 1046 b_wt -6.5256143102 0.0016391939
#> 1047 b_wt -6.5191076741 0.0016091640
#> 1048 b_wt -6.5126010380 0.0015790198
#> 1049 b_wt -6.5060944019 0.0015489227
#> 1050 b_wt -6.4995877658 0.0015190492
#> 1051 b_wt -6.4930811297 0.0014896602
#> 1052 b_wt -6.4865744936 0.0014608556
#> 1053 b_wt -6.4800678575 0.0014327678
#> 1054 b_wt -6.4735612214 0.0014055217
#> 1055 b_wt -6.4670545853 0.0013792345
#> 1056 b_wt -6.4605479492 0.0013540153
#> 1057 b_wt -6.4540413131 0.0013302296
#> 1058 b_wt -6.4475346770 0.0013077817
#> 1059 b_wt -6.4410280409 0.0012867094
#> 1060 b_wt -6.4345214048 0.0012670751
#> 1061 b_wt -6.4280147686 0.0012489319
#> 1062 b_wt -6.4215081325 0.0012323239
#> 1063 b_wt -6.4150014964 0.0012174935
#> 1064 b_wt -6.4084948603 0.0012044281
#> 1065 b_wt -6.4019882242 0.0011929748
#> 1066 b_wt -6.3954815881 0.0011831339
#> 1067 b_wt -6.3889749520 0.0011748985
#> 1068 b_wt -6.3824683159 0.0011682550
#> 1069 b_wt -6.3759616798 0.0011632676
#> 1070 b_wt -6.3694550437 0.0011600828
#> 1071 b_wt -6.3629484076 0.0011583863
#> 1072 b_wt -6.3564417715 0.0011581369
#> 1073 b_wt -6.3499351354 0.0011592898
#> 1074 b_wt -6.3434284993 0.0011617978
#> 1075 b_wt -6.3369218632 0.0011656107
#> 1076 b_wt -6.3304152270 0.0011709246
#> 1077 b_wt -6.3239085909 0.0011774297
#> 1078 b_wt -6.3174019548 0.0011850484
#> 1079 b_wt -6.3108953187 0.0011937278
#> 1080 b_wt -6.3043886826 0.0012034160
#> 1081 b_wt -6.2978820465 0.0012140623
#> 1082 b_wt -6.2913754104 0.0012257346
#> 1083 b_wt -6.2848687743 0.0012383294
#> 1084 b_wt -6.2783621382 0.0012517228
#> 1085 b_wt -6.2718555021 0.0012658788
#> 1086 b_wt -6.2653488660 0.0012807649
#> 1087 b_wt -6.2588422299 0.0012963526
#> 1088 b_wt -6.2523355938 0.0013126592
#> 1089 b_wt -6.2458289577 0.0013297278
#> 1090 b_wt -6.2393223215 0.0013474350
#> 1091 b_wt -6.2328156854 0.0013657753
#> 1092 b_wt -6.2263090493 0.0013847475
#> 1093 b_wt -6.2198024132 0.0014043550
#> 1094 b_wt -6.2132957771 0.0014246053
#> 1095 b_wt -6.2067891410 0.0014456618
#> 1096 b_wt -6.2002825049 0.0014674109
#> 1097 b_wt -6.1937758688 0.0014898701
#> 1098 b_wt -6.1872692327 0.0015130674
#> 1099 b_wt -6.1807625966 0.0015370337
#> 1100 b_wt -6.1742559605 0.0015618030
#> 1101 b_wt -6.1677493244 0.0015875436
#> 1102 b_wt -6.1612426883 0.0016142593
#> 1103 b_wt -6.1547360522 0.0016419207
#> 1104 b_wt -6.1482294161 0.0016705711
#> 1105 b_wt -6.1417227799 0.0017002540
#> 1106 b_wt -6.1352161438 0.0017310135
#> 1107 b_wt -6.1287095077 0.0017629791
#> 1108 b_wt -6.1222028716 0.0017963122
#> 1109 b_wt -6.1156962355 0.0018308747
#> 1110 b_wt -6.1091895994 0.0018667047
#> 1111 b_wt -6.1026829633 0.0019038382
#> 1112 b_wt -6.0961763272 0.0019423083
#> 1113 b_wt -6.0896696911 0.0019821453
#> 1114 b_wt -6.0831630550 0.0020237032
#> 1115 b_wt -6.0766564189 0.0020666883
#> 1116 b_wt -6.0701497828 0.0021111113
#> 1117 b_wt -6.0636431467 0.0021569802
#> 1118 b_wt -6.0571365106 0.0022042982
#> 1119 b_wt -6.0506298745 0.0022530632
#> 1120 b_wt -6.0441232383 0.0023034874
#> 1121 b_wt -6.0376166022 0.0023554326
#> 1122 b_wt -6.0311099661 0.0024087630
#> 1123 b_wt -6.0246033300 0.0024634463
#> 1124 b_wt -6.0180966939 0.0025194440
#> 1125 b_wt -6.0115900578 0.0025767117
#> 1126 b_wt -6.0050834217 0.0026352914
#> 1127 b_wt -5.9985767856 0.0026951782
#> 1128 b_wt -5.9920701495 0.0027561208
#> 1129 b_wt -5.9855635134 0.0028180451
#> 1130 b_wt -5.9790568773 0.0028808722
#> 1131 b_wt -5.9725502412 0.0029445185
#> 1132 b_wt -5.9660436051 0.0030088999
#> 1133 b_wt -5.9595369690 0.0030740260
#> 1134 b_wt -5.9530303328 0.0031396327
#> 1135 b_wt -5.9465236967 0.0032056177
#> 1136 b_wt -5.9400170606 0.0032718764
#> 1137 b_wt -5.9335104245 0.0033383026
#> 1138 b_wt -5.9270037884 0.0034047892
#> 1139 b_wt -5.9204971523 0.0034711933
#> 1140 b_wt -5.9139905162 0.0035373725
#> 1141 b_wt -5.9074838801 0.0036032258
#> 1142 b_wt -5.9009772440 0.0036686496
#> 1143 b_wt -5.8944706079 0.0037335426
#> 1144 b_wt -5.8879639718 0.0037978069
#> 1145 b_wt -5.8814573357 0.0038612718
#> 1146 b_wt -5.8749506996 0.0039237696
#> 1147 b_wt -5.8684440635 0.0039853260
#> 1148 b_wt -5.8619374274 0.0040458688
#> 1149 b_wt -5.8554307912 0.0041053325
#> 1150 b_wt -5.8489241551 0.0041636588
#> 1151 b_wt -5.8424175190 0.0042207774
#> 1152 b_wt -5.8359108829 0.0042763881
#> 1153 b_wt -5.8294042468 0.0043307239
#> 1154 b_wt -5.8228976107 0.0043837704
#> 1155 b_wt -5.8163909746 0.0044355224
#> 1156 b_wt -5.8098843385 0.0044859844
#> 1157 b_wt -5.8033777024 0.0045351704
#> 1158 b_wt -5.7968710663 0.0045828983
#> 1159 b_wt -5.7903644302 0.0046293670
#> 1160 b_wt -5.7838577941 0.0046747053
#> 1161 b_wt -5.7773511580 0.0047189794
#> 1162 b_wt -5.7708445219 0.0047622648
#> 1163 b_wt -5.7643378858 0.0048046466
#> 1164 b_wt -5.7578312496 0.0048461550
#> 1165 b_wt -5.7513246135 0.0048869231
#> 1166 b_wt -5.7448179774 0.0049271799
#> 1167 b_wt -5.7383113413 0.0049670564
#> 1168 b_wt -5.7318047052 0.0050066912
#> 1169 b_wt -5.7252980691 0.0050462302
#> 1170 b_wt -5.7187914330 0.0050858326
#> 1171 b_wt -5.7122847969 0.0051257641
#> 1172 b_wt -5.7057781608 0.0051661835
#> 1173 b_wt -5.6992715247 0.0052072672
#> 1174 b_wt -5.6927648886 0.0052491956
#> 1175 b_wt -5.6862582525 0.0052921530
#> 1176 b_wt -5.6797516164 0.0053363267
#> 1177 b_wt -5.6732449803 0.0053822163
#> 1178 b_wt -5.6667383441 0.0054298952
#> 1179 b_wt -5.6602317080 0.0054794863
#> 1180 b_wt -5.6537250719 0.0055311854
#> 1181 b_wt -5.6472184358 0.0055851886
#> 1182 b_wt -5.6407117997 0.0056416915
#> 1183 b_wt -5.6342051636 0.0057012082
#> 1184 b_wt -5.6276985275 0.0057640663
#> 1185 b_wt -5.6211918914 0.0058301177
#> 1186 b_wt -5.6146852553 0.0058995493
#> 1187 b_wt -5.6081786192 0.0059725454
#> 1188 b_wt -5.6016719831 0.0060492870
#> 1189 b_wt -5.5951653470 0.0061300892
#> 1190 b_wt -5.5886587109 0.0062158696
#> 1191 b_wt -5.5821520748 0.0063060129
#> 1192 b_wt -5.5756454387 0.0064006782
#> 1193 b_wt -5.5691388025 0.0065000201
#> 1194 b_wt -5.5626321664 0.0066041876
#> 1195 b_wt -5.5561255303 0.0067133244
#> 1196 b_wt -5.5496188942 0.0068285777
#> 1197 b_wt -5.5431122581 0.0069493535
#> 1198 b_wt -5.5366056220 0.0070755578
#> 1199 b_wt -5.5300989859 0.0072073011
#> 1200 b_wt -5.5235923498 0.0073446874
#> 1201 b_wt -5.5170857137 0.0074878134
#> 1202 b_wt -5.5105790776 0.0076374579
#> 1203 b_wt -5.5040724415 0.0077937291
#> 1204 b_wt -5.4975658054 0.0079560174
#> 1205 b_wt -5.4910591693 0.0081243791
#> 1206 b_wt -5.4845525332 0.0082988627
#> 1207 b_wt -5.4780458971 0.0084795088
#> 1208 b_wt -5.4715392609 0.0086666097
#> 1209 b_wt -5.4650326248 0.0088611127
#> 1210 b_wt -5.4585259887 0.0090618491
#> 1211 b_wt -5.4520193526 0.0092688174
#> 1212 b_wt -5.4455127165 0.0094820085
#> 1213 b_wt -5.4390060804 0.0097014065
#> 1214 b_wt -5.4324994443 0.0099269883
#> 1215 b_wt -5.4259928082 0.0101599367
#> 1216 b_wt -5.4194861721 0.0103991747
#> 1217 b_wt -5.4129795360 0.0106444559
#> 1218 b_wt -5.4064728999 0.0108957294
#> 1219 b_wt -5.3999662638 0.0111529412
#> 1220 b_wt -5.3934596277 0.0114160348
#> 1221 b_wt -5.3869529916 0.0116856676
#> 1222 b_wt -5.3804463554 0.0119616503
#> 1223 b_wt -5.3739397193 0.0122433061
#> 1224 b_wt -5.3674330832 0.0125305821
#> 1225 b_wt -5.3609264471 0.0128234293
#> 1226 b_wt -5.3544198110 0.0131218040
#> 1227 b_wt -5.3479131749 0.0134259438
#> 1228 b_wt -5.3414065388 0.0137365252
#> 1229 b_wt -5.3348999027 0.0140525466
#> 1230 b_wt -5.3283932666 0.0143740109
#> 1231 b_wt -5.3218866305 0.0147009340
#> 1232 b_wt -5.3153799944 0.0150333448
#> 1233 b_wt -5.3088733583 0.0153712865
#> 1234 b_wt -5.3023667222 0.0157160070
#> 1235 b_wt -5.2958600861 0.0160665902
#> 1236 b_wt -5.2893534500 0.0164230162
#> 1237 b_wt -5.2828468138 0.0167854153
#> 1238 b_wt -5.2763401777 0.0171539358
#> 1239 b_wt -5.2698335416 0.0175287435
#> 1240 b_wt -5.2633269055 0.0179109273
#> 1241 b_wt -5.2568202694 0.0183005589
#> 1242 b_wt -5.2503136333 0.0186972388
#> 1243 b_wt -5.2438069972 0.0191012193
#> 1244 b_wt -5.2373003611 0.0195127666
#> 1245 b_wt -5.2307937250 0.0199321590
#> 1246 b_wt -5.2242870889 0.0203601930
#> 1247 b_wt -5.2177804528 0.0207982526
#> 1248 b_wt -5.2112738167 0.0212452465
#> 1249 b_wt -5.2047671806 0.0217014904
#> 1250 b_wt -5.1982605445 0.0221673000
#> 1251 b_wt -5.1917539084 0.0226429891
#> 1252 b_wt -5.1852472722 0.0231288679
#> 1253 b_wt -5.1787406361 0.0236276090
#> 1254 b_wt -5.1722340000 0.0241374579
#> 1255 b_wt -5.1657273639 0.0246585188
#> 1256 b_wt -5.1592207278 0.0251910363
#> 1257 b_wt -5.1527140917 0.0257352348
#> 1258 b_wt -5.1462074556 0.0262913166
#> 1259 b_wt -5.1397008195 0.0268612028
#> 1260 b_wt -5.1331941834 0.0274444397
#> 1261 b_wt -5.1266875473 0.0280400319
#> 1262 b_wt -5.1201809112 0.0286480298
#> 1263 b_wt -5.1136742751 0.0292684508
#> 1264 b_wt -5.1071676390 0.0299012779
#> 1265 b_wt -5.1006610029 0.0305472889
#> 1266 b_wt -5.0941543667 0.0312075023
#> 1267 b_wt -5.0876477306 0.0318797329
#> 1268 b_wt -5.0811410945 0.0325637804
#> 1269 b_wt -5.0746344584 0.0332594118
#> 1270 b_wt -5.0681278223 0.0339663634
#> 1271 b_wt -5.0616211862 0.0346843410
#> 1272 b_wt -5.0551145501 0.0354153017
#> 1273 b_wt -5.0486079140 0.0361564481
#> 1274 b_wt -5.0421012779 0.0369073214
#> 1275 b_wt -5.0355946418 0.0376675154
#> 1276 b_wt -5.0290880057 0.0384366129
#> 1277 b_wt -5.0225813696 0.0392141888
#> 1278 b_wt -5.0160747335 0.0400009320
#> 1279 b_wt -5.0095680974 0.0407956851
#> 1280 b_wt -5.0030614613 0.0415973964
#> 1281 b_wt -4.9965548251 0.0424056722
#> 1282 b_wt -4.9900481890 0.0432201388
#> 1283 b_wt -4.9835415529 0.0440404461
#> 1284 b_wt -4.9770349168 0.0448666649
#> 1285 b_wt -4.9705282807 0.0456988181
#> 1286 b_wt -4.9640216446 0.0465358534
#> 1287 b_wt -4.9575150085 0.0473776134
#> 1288 b_wt -4.9510083724 0.0482239891
#> 1289 b_wt -4.9445017363 0.0490749212
#> 1290 b_wt -4.9379951002 0.0499304141
#> 1291 b_wt -4.9314884641 0.0507916138
#> 1292 b_wt -4.9249818280 0.0516576565
#> 1293 b_wt -4.9184751919 0.0525287786
#> 1294 b_wt -4.9119685558 0.0534052748
#> 1295 b_wt -4.9054619197 0.0542874975
#> 1296 b_wt -4.8989552835 0.0551758560
#> 1297 b_wt -4.8924486474 0.0560720035
#> 1298 b_wt -4.8859420113 0.0569761254
#> 1299 b_wt -4.8794353752 0.0578883710
#> 1300 b_wt -4.8729287391 0.0588094148
#> 1301 b_wt -4.8664221030 0.0597399708
#> 1302 b_wt -4.8599154669 0.0606807889
#> 1303 b_wt -4.8534088308 0.0616336932
#> 1304 b_wt -4.8469021947 0.0626005828
#> 1305 b_wt -4.8403955586 0.0635806789
#> 1306 b_wt -4.8338889225 0.0645748348
#> 1307 b_wt -4.8273822864 0.0655839042
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#> 1399 b_wt -4.2287717645 0.2119148325
#> 1400 b_wt -4.2222651284 0.2141024809
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#> 1421 b_wt -4.0856257702 0.2649704338
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#> 1431 b_wt -4.0205594091 0.2908186172
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#> 1433 b_wt -4.0075461369 0.2959846844
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#> 1437 b_wt -3.9815195925 0.3062795032
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#> 1500 b_wt -3.5716015178 0.4658856959
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#> 1600 b_wt -2.9209379071 0.4653154805
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#> 1654 b_wt -2.5695795573 0.3614348415
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#> 1658 b_wt -2.5435530129 0.3503769166
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#> 1660 b_wt -2.5305397407 0.3447218782
#> 1661 b_wt -2.5240331046 0.3418701935
#> 1662 b_wt -2.5175264684 0.3390045753
#> 1663 b_wt -2.5110198323 0.3361265032
#> 1664 b_wt -2.5045131962 0.3332363250
#> 1665 b_wt -2.4980065601 0.3303383699
#> 1666 b_wt -2.4914999240 0.3274343841
#> 1667 b_wt -2.4849932879 0.3245261144
#> 1668 b_wt -2.4784866518 0.3216153041
#> 1669 b_wt -2.4719800157 0.3187036882
#> 1670 b_wt -2.4654733796 0.3157936070
#> 1671 b_wt -2.4589667435 0.3128872123
#> 1672 b_wt -2.4524601074 0.3099860726
#> 1673 b_wt -2.4459534713 0.3070917923
#> 1674 b_wt -2.4394468352 0.3042059366
#> 1675 b_wt -2.4329401991 0.3013300290
#> 1676 b_wt -2.4264335630 0.2984669239
#> 1677 b_wt -2.4199269268 0.2956189801
#> 1678 b_wt -2.4134202907 0.2927860052
#> 1679 b_wt -2.4069136546 0.2899692458
#> 1680 b_wt -2.4004070185 0.2871698887
#> 1681 b_wt -2.3939003824 0.2843890593
#> 1682 b_wt -2.3873937463 0.2816284102
#> 1683 b_wt -2.3808871102 0.2788928910
#> 1684 b_wt -2.3743804741 0.2761793644
#> 1685 b_wt -2.3678738380 0.2734886166
#> 1686 b_wt -2.3613672019 0.2708213689
#> 1687 b_wt -2.3548605658 0.2681782786
#> 1688 b_wt -2.3483539297 0.2655599392
#> 1689 b_wt -2.3418472936 0.2629716906
#> 1690 b_wt -2.3353406575 0.2604105685
#> 1691 b_wt -2.3288340213 0.2578757391
#> 1692 b_wt -2.3223273852 0.2553674804
#> 1693 b_wt -2.3158207491 0.2528860154
#> 1694 b_wt -2.3093141130 0.2504315145
#> 1695 b_wt -2.3028074769 0.2480071144
#> 1696 b_wt -2.2963008408 0.2456131188
#> 1697 b_wt -2.2897942047 0.2432462363
#> 1698 b_wt -2.2832875686 0.2409063915
#> 1699 b_wt -2.2767809325 0.2385934694
#> 1700 b_wt -2.2702742964 0.2363073171
#> 1701 b_wt -2.2637676603 0.2340487157
#> 1702 b_wt -2.2572610242 0.2318214787
#> 1703 b_wt -2.2507543881 0.2296201447
#> 1704 b_wt -2.2442477520 0.2274443923
#> 1705 b_wt -2.2377411159 0.2252938739
#> 1706 b_wt -2.2312344797 0.2231682173
#> 1707 b_wt -2.2247278436 0.2210670263
#> 1708 b_wt -2.2182212075 0.2189944145
#> 1709 b_wt -2.2117145714 0.2169460143
#> 1710 b_wt -2.2052079353 0.2149204514
#> 1711 b_wt -2.1987012992 0.2129172270
#> 1712 b_wt -2.1921946631 0.2109358262
#> 1713 b_wt -2.1856880270 0.2089757188
#> 1714 b_wt -2.1791813909 0.2070387492
#> 1715 b_wt -2.1726747548 0.2051239252
#> 1716 b_wt -2.1661681187 0.2032283571
#> 1717 b_wt -2.1596614826 0.2013514492
#> 1718 b_wt -2.1531548465 0.1994925964
#> 1719 b_wt -2.1466482104 0.1976511850
#> 1720 b_wt -2.1401415743 0.1958273223
#> 1721 b_wt -2.1336349381 0.1940223861
#> 1722 b_wt -2.1271283020 0.1922326198
#> 1723 b_wt -2.1206216659 0.1904573827
#> 1724 b_wt -2.1141150298 0.1886960330
#> 1725 b_wt -2.1076083937 0.1869479297
#> 1726 b_wt -2.1011017576 0.1852124330
#> 1727 b_wt -2.0945951215 0.1834911363
#> 1728 b_wt -2.0880884854 0.1817811452
#> 1729 b_wt -2.0815818493 0.1800815103
#> 1730 b_wt -2.0750752132 0.1783916312
#> 1731 b_wt -2.0685685771 0.1767109207
#> 1732 b_wt -2.0620619410 0.1750388065
#> 1733 b_wt -2.0555553049 0.1733756674
#> 1734 b_wt -2.0490486688 0.1717205473
#> 1735 b_wt -2.0425420326 0.1700721407
#> 1736 b_wt -2.0360353965 0.1684299854
#> 1737 b_wt -2.0295287604 0.1667936450
#> 1738 b_wt -2.0230221243 0.1651627107
#> 1739 b_wt -2.0165154882 0.1635370509
#> 1740 b_wt -2.0100088521 0.1619167684
#> 1741 b_wt -2.0035022160 0.1603007003
#> 1742 b_wt -1.9969955799 0.1586886023
#> 1743 b_wt -1.9904889438 0.1570802637
#> 1744 b_wt -1.9839823077 0.1554755072
#> 1745 b_wt -1.9774756716 0.1538741893
#> 1746 b_wt -1.9709690355 0.1522768875
#> 1747 b_wt -1.9644623994 0.1506828996
#> 1748 b_wt -1.9579557633 0.1490921559
#> 1749 b_wt -1.9514491272 0.1475046826
#> 1750 b_wt -1.9449424910 0.1459205347
#> 1751 b_wt -1.9384358549 0.1443397950
#> 1752 b_wt -1.9319292188 0.1427630861
#> 1753 b_wt -1.9254225827 0.1411904658
#> 1754 b_wt -1.9189159466 0.1396217818
#> 1755 b_wt -1.9124093105 0.1380572317
#> 1756 b_wt -1.9059026744 0.1364970278
#> 1757 b_wt -1.8993960383 0.1349413952
#> 1758 b_wt -1.8928894022 0.1333908946
#> 1759 b_wt -1.8863827661 0.1318464088
#> 1760 b_wt -1.8798761300 0.1303073776
#> 1761 b_wt -1.8733694939 0.1287740520
#> 1762 b_wt -1.8668628578 0.1272466802
#> 1763 b_wt -1.8603562217 0.1257255055
#> 1764 b_wt -1.8538495856 0.1242107642
#> 1765 b_wt -1.8473429494 0.1227042236
#> 1766 b_wt -1.8408363133 0.1212047478
#> 1767 b_wt -1.8343296772 0.1197124455
#> 1768 b_wt -1.8278230411 0.1182274834
#> 1769 b_wt -1.8213164050 0.1167500098
#> 1770 b_wt -1.8148097689 0.1152801544
#> 1771 b_wt -1.8083031328 0.1138191716
#> 1772 b_wt -1.8017964967 0.1123666957
#> 1773 b_wt -1.7952898606 0.1109221048
#> 1774 b_wt -1.7887832245 0.1094854159
#> 1775 b_wt -1.7822765884 0.1080566242
#> 1776 b_wt -1.7757699523 0.1066357032
#> 1777 b_wt -1.7692633162 0.1052231585
#> 1778 b_wt -1.7627566801 0.1038195560
#> 1779 b_wt -1.7562500439 0.1024235351
#> 1780 b_wt -1.7497434078 0.1010349657
#> 1781 b_wt -1.7432367717 0.0996537017
#> 1782 b_wt -1.7367301356 0.0982795820
#> 1783 b_wt -1.7302234995 0.0969124321
#> 1784 b_wt -1.7237168634 0.0955535439
#> 1785 b_wt -1.7172102273 0.0942011293
#> 1786 b_wt -1.7107035912 0.0928549600
#> 1787 b_wt -1.7041969551 0.0915148209
#> 1788 b_wt -1.6976903190 0.0901804952
#> 1789 b_wt -1.6911836829 0.0888517665
#> 1790 b_wt -1.6846770468 0.0875292050
#> 1791 b_wt -1.6781704107 0.0862121060
#> 1792 b_wt -1.6716637746 0.0848998680
#> 1793 b_wt -1.6651571385 0.0835923106
#> 1794 b_wt -1.6586505023 0.0822892667
#> 1795 b_wt -1.6521438662 0.0809905839
#> 1796 b_wt -1.6456372301 0.0796964544
#> 1797 b_wt -1.6391305940 0.0784070158
#> 1798 b_wt -1.6326239579 0.0771215623
#> 1799 b_wt -1.6261173218 0.0758400478
#> 1800 b_wt -1.6196106857 0.0745624507
#> 1801 b_wt -1.6131040496 0.0732887748
#> 1802 b_wt -1.6065974135 0.0720190756
#> 1803 b_wt -1.6000907774 0.0707543283
#> 1804 b_wt -1.5935841413 0.0694937645
#> 1805 b_wt -1.5870775052 0.0682375339
#> 1806 b_wt -1.5805708691 0.0669858148
#> 1807 b_wt -1.5740642330 0.0657388137
#> 1808 b_wt -1.5675575969 0.0644967651
#> 1809 b_wt -1.5610509607 0.0632608604
#> 1810 b_wt -1.5545443246 0.0620310236
#> 1811 b_wt -1.5480376885 0.0608072432
#> 1812 b_wt -1.5415310524 0.0595898900
#> 1813 b_wt -1.5350244163 0.0583793568
#> 1814 b_wt -1.5285177802 0.0571760572
#> 1815 b_wt -1.5220111441 0.0559811670
#> 1816 b_wt -1.5155045080 0.0547957784
#> 1817 b_wt -1.5089978719 0.0536192773
#> 1818 b_wt -1.5024912358 0.0524521579
#> 1819 b_wt -1.4959845997 0.0512949225
#> 1820 b_wt -1.4894779636 0.0501480807
#> 1821 b_wt -1.4829713275 0.0490123206
#> 1822 b_wt -1.4764646914 0.0478906596
#> 1823 b_wt -1.4699580552 0.0467812489
#> 1824 b_wt -1.4634514191 0.0456845970
#> 1825 b_wt -1.4569447830 0.0446012046
#> 1826 b_wt -1.4504381469 0.0435315633
#> 1827 b_wt -1.4439315108 0.0424761539
#> 1828 b_wt -1.4374248747 0.0414380914
#> 1829 b_wt -1.4309182386 0.0404163107
#> 1830 b_wt -1.4244116025 0.0394103471
#> 1831 b_wt -1.4179049664 0.0384205921
#> 1832 b_wt -1.4113983303 0.0374474153
#> 1833 b_wt -1.4048916942 0.0364911640
#> 1834 b_wt -1.3983850581 0.0355538914
#> 1835 b_wt -1.3918784220 0.0346366297
#> 1836 b_wt -1.3853717859 0.0337373121
#> 1837 b_wt -1.3788651498 0.0328561528
#> 1838 b_wt -1.3723585136 0.0319933392
#> 1839 b_wt -1.3658518775 0.0311490327
#> 1840 b_wt -1.3593452414 0.0303238131
#> 1841 b_wt -1.3528386053 0.0295212624
#> 1842 b_wt -1.3463319692 0.0287375577
#> 1843 b_wt -1.3398253331 0.0279727248
#> 1844 b_wt -1.3333186970 0.0272267657
#> 1845 b_wt -1.3268120609 0.0264996598
#> 1846 b_wt -1.3203054248 0.0257913640
#> 1847 b_wt -1.3137987887 0.0251051777
#> 1848 b_wt -1.3072921526 0.0244385245
#> 1849 b_wt -1.3007855165 0.0237903318
#> 1850 b_wt -1.2942788804 0.0231604568
#> 1851 b_wt -1.2877722443 0.0225487413
#> 1852 b_wt -1.2812656082 0.0219550121
#> 1853 b_wt -1.2747589720 0.0213809497
#> 1854 b_wt -1.2682523359 0.0208265732
#> 1855 b_wt -1.2617456998 0.0202894409
#> 1856 b_wt -1.2552390637 0.0197693190
#> 1857 b_wt -1.2487324276 0.0192659649
#> 1858 b_wt -1.2422257915 0.0187791274
#> 1859 b_wt -1.2357191554 0.0183090635
#> 1860 b_wt -1.2292125193 0.0178580594
#> 1861 b_wt -1.2227058832 0.0174226010
#> 1862 b_wt -1.2161992471 0.0170024017
#> 1863 b_wt -1.2096926110 0.0165971687
#> 1864 b_wt -1.2031859749 0.0162066039
#> 1865 b_wt -1.1966793388 0.0158304032
#> 1866 b_wt -1.1901727027 0.0154708282
#> 1867 b_wt -1.1836660665 0.0151253792
#> 1868 b_wt -1.1771594304 0.0147931429
#> 1869 b_wt -1.1706527943 0.0144737842
#> 1870 b_wt -1.1641461582 0.0141669615
#> 1871 b_wt -1.1576395221 0.0138723269
#> 1872 b_wt -1.1511328860 0.0135908300
#> 1873 b_wt -1.1446262499 0.0133219473
#> 1874 b_wt -1.1381196138 0.0130639349
#> 1875 b_wt -1.1316129777 0.0128164085
#> 1876 b_wt -1.1251063416 0.0125789772
#> 1877 b_wt -1.1185997055 0.0123512430
#> 1878 b_wt -1.1120930694 0.0121331610
#> 1879 b_wt -1.1055864333 0.0119254729
#> 1880 b_wt -1.0990797972 0.0117259907
#> 1881 b_wt -1.0925731611 0.0115342858
#> 1882 b_wt -1.0860665249 0.0113499259
#> 1883 b_wt -1.0795598888 0.0111724747
#> 1884 b_wt -1.0730532527 0.0110014936
#> 1885 b_wt -1.0665466166 0.0108376012
#> 1886 b_wt -1.0600399805 0.0106792269
#> 1887 b_wt -1.0535333444 0.0105257360
#> 1888 b_wt -1.0470267083 0.0103766928
#> 1889 b_wt -1.0405200722 0.0102316660
#> 1890 b_wt -1.0340134361 0.0100902296
#> 1891 b_wt -1.0275068000 0.0099522841
#> 1892 b_wt -1.0210001639 0.0098171942
#> 1893 b_wt -1.0144935278 0.0096842394
#> 1894 b_wt -1.0079868917 0.0095530457
#> 1895 b_wt -1.0014802556 0.0094232532
#> 1896 b_wt -0.9949736195 0.0092945175
#> 1897 b_wt -0.9884669833 0.0091665261
#> 1898 b_wt -0.9819603472 0.0090389102
#> 1899 b_wt -0.9754537111 0.0089112755
#> 1900 b_wt -0.9689470750 0.0087833776
#> 1901 b_wt -0.9624404389 0.0086549944
#> 1902 b_wt -0.9559338028 0.0085259264
#> 1903 b_wt -0.9494271667 0.0083959973
#> 1904 b_wt -0.9429205306 0.0082648091
#> 1905 b_wt -0.9364138945 0.0081324077
#> 1906 b_wt -0.9299072584 0.0079987458
#> 1907 b_wt -0.9234006223 0.0078637750
#> 1908 b_wt -0.9168939862 0.0077274711
#> 1909 b_wt -0.9103873501 0.0075898335
#> 1910 b_wt -0.9038807140 0.0074507226
#> 1911 b_wt -0.8973740778 0.0073102691
#> 1912 b_wt -0.8908674417 0.0071686953
#> 1913 b_wt -0.8843608056 0.0070261149
#> 1914 b_wt -0.8778541695 0.0068826597
#> 1915 b_wt -0.8713475334 0.0067384792
#> 1916 b_wt -0.8648408973 0.0065937215
#> 1917 b_wt -0.8583342612 0.0064486103
#> 1918 b_wt -0.8518276251 0.0063034483
#> 1919 b_wt -0.8453209890 0.0061584532
#> 1920 b_wt -0.8388143529 0.0060138500
#> 1921 b_wt -0.8323077168 0.0058698702
#> 1922 b_wt -0.8258010807 0.0057267502
#> 1923 b_wt -0.8192944446 0.0055850495
#> 1924 b_wt -0.8127878085 0.0054448521
#> 1925 b_wt -0.8062811724 0.0053063773
#> 1926 b_wt -0.7997745362 0.0051698580
#> 1927 b_wt -0.7932679001 0.0050355216
#> 1928 b_wt -0.7867612640 0.0049035888
#> 1929 b_wt -0.7802546279 0.0047746834
#> 1930 b_wt -0.7737479918 0.0046489452
#> 1931 b_wt -0.7672413557 0.0045263117
#> 1932 b_wt -0.7607347196 0.0044069448
#> 1933 b_wt -0.7542280835 0.0042909924
#> 1934 b_wt -0.7477214474 0.0041785870
#> 1935 b_wt -0.7412148113 0.0040701003
#> 1936 b_wt -0.7347081752 0.0039660258
#> 1937 b_wt -0.7282015391 0.0038658216
#> 1938 b_wt -0.7216949030 0.0037695308
#> 1939 b_wt -0.7151882669 0.0036771789
#> 1940 b_wt -0.7086816308 0.0035887737
#> 1941 b_wt -0.7021749946 0.0035043054
#> 1942 b_wt -0.6956683585 0.0034246033
#> 1943 b_wt -0.6891617224 0.0033487443
#> 1944 b_wt -0.6826550863 0.0032766199
#> 1945 b_wt -0.6761484502 0.0032081339
#> 1946 b_wt -0.6696418141 0.0031431754
#> 1947 b_wt -0.6631351780 0.0030816201
#> 1948 b_wt -0.6566285419 0.0030237859
#> 1949 b_wt -0.6501219058 0.0029692291
#> 1950 b_wt -0.6436152697 0.0029175150
#> 1951 b_wt -0.6371086336 0.0028684639
#> 1952 b_wt -0.6306019975 0.0028218890
#> 1953 b_wt -0.6240953614 0.0027775979
#> 1954 b_wt -0.6175887253 0.0027355300
#> 1955 b_wt -0.6110820891 0.0026955458
#> 1956 b_wt -0.6045754530 0.0026571198
#> 1957 b_wt -0.5980688169 0.0026200490
#> 1958 b_wt -0.5915621808 0.0025841323
#> 1959 b_wt -0.5850555447 0.0025491713
#> 1960 b_wt -0.5785489086 0.0025149724
#> 1961 b_wt -0.5720422725 0.0024814099
#> 1962 b_wt -0.5655356364 0.0024481347
#> 1963 b_wt -0.5590290003 0.0024149807
#> 1964 b_wt -0.5525223642 0.0023817912
#> 1965 b_wt -0.5460157281 0.0023484187
#> 1966 b_wt -0.5395090920 0.0023147265
#> 1967 b_wt -0.5330024559 0.0022804917
#> 1968 b_wt -0.5264958198 0.0022456068
#> 1969 b_wt -0.5199891837 0.0022100184
#> 1970 b_wt -0.5134825475 0.0021736516
#> 1971 b_wt -0.5069759114 0.0021364443
#> 1972 b_wt -0.5004692753 0.0020983469
#> 1973 b_wt -0.4939626392 0.0020592417
#> 1974 b_wt -0.4874560031 0.0020190454
#> 1975 b_wt -0.4809493670 0.0019778979
#> 1976 b_wt -0.4744427309 0.0019358141
#> 1977 b_wt -0.4679360948 0.0018928201
#> 1978 b_wt -0.4614294587 0.0018489528
#> 1979 b_wt -0.4549228226 0.0018042520
#> 1980 b_wt -0.4484161865 0.0017586410
#> 1981 b_wt -0.4419095504 0.0017123794
#> 1982 b_wt -0.4354029143 0.0016655517
#> 1983 b_wt -0.4288962782 0.0016182490
#> 1984 b_wt -0.4223896421 0.0015705685
#> 1985 b_wt -0.4158830059 0.0015226131
#> 1986 b_wt -0.4093763698 0.0014744909
#> 1987 b_wt -0.4028697337 0.0014263741
#> 1988 b_wt -0.3963630976 0.0013783886
#> 1989 b_wt -0.3898564615 0.0013306527
#> 1990 b_wt -0.3833498254 0.0012832851
#> 1991 b_wt -0.3768431893 0.0012364043
#> 1992 b_wt -0.3703365532 0.0011902000
#> 1993 b_wt -0.3638299171 0.0011448704
#> 1994 b_wt -0.3573232810 0.0011004406
#> 1995 b_wt -0.3508166449 0.0010570176
#> 1996 b_wt -0.3443100088 0.0010147044
#> 1997 b_wt -0.3378033727 0.0009735994
#> 1998 b_wt -0.3312967366 0.0009338234
#> 1999 b_wt -0.3247901004 0.0008957632
#> 2000 b_wt -0.3182834643 0.0008592169
#> 2001 b_wt -0.3117768282 0.0008242530
#> 2002 b_wt -0.3052701921 0.0007909331
#> 2003 b_wt -0.2987635560 0.0007593122
#> 2004 b_wt -0.2922569199 0.0007294383
#> 2005 b_wt -0.2857502838 0.0007016756
#> 2006 b_wt -0.2792436477 0.0006758452
#> 2007 b_wt -0.2727370116 0.0006518659
#> 2008 b_wt -0.2662303755 0.0006297480
#> 2009 b_wt -0.2597237394 0.0006094946
#> 2010 b_wt -0.2532171033 0.0005911023
#> 2011 b_wt -0.2467104672 0.0005747461
#> 2012 b_wt -0.2402038311 0.0005604449
#> 2013 b_wt -0.2336971950 0.0005479277
#> 2014 b_wt -0.2271905588 0.0005371565
#> 2015 b_wt -0.2206839227 0.0005280875
#> 2016 b_wt -0.2141772866 0.0005206713
#> 2017 b_wt -0.2076706505 0.0005148952
#> 2018 b_wt -0.2011640144 0.0005109422
#> 2019 b_wt -0.1946573783 0.0005084170
#> 2020 b_wt -0.1881507422 0.0005072455
#> 2021 b_wt -0.1816441061 0.0005073497
#> 2022 b_wt -0.1751374700 0.0005086483
#> 2023 b_wt -0.1686308339 0.0005110570
#> 2024 b_wt -0.1621241978 0.0005146520
#> 2025 b_wt -0.1556175617 0.0005191706
#> 2026 b_wt -0.1491109256 0.0005244730
#> 2027 b_wt -0.1426042895 0.0005304650
#> 2028 b_wt -0.1360976534 0.0005370513
#> 2029 b_wt -0.1295910172 0.0005441366
#> 2030 b_wt -0.1230843811 0.0005516544
#> 2031 b_wt -0.1165777450 0.0005594704
#> 2032 b_wt -0.1100711089 0.0005674442
#> 2033 b_wt -0.1035644728 0.0005754842
#> 2034 b_wt -0.0970578367 0.0005835005
#> 2035 b_wt -0.0905512006 0.0005914056
#> 2036 b_wt -0.0840445645 0.0005991030
#> 2037 b_wt -0.0775379284 0.0006064349
#> 2038 b_wt -0.0710312923 0.0006133654
#> 2039 b_wt -0.0645246562 0.0006198231
#> 2040 b_wt -0.0580180201 0.0006257407
#> 2041 b_wt -0.0515113840 0.0006310548
#> 2042 b_wt -0.0450047479 0.0006357066
#> 2043 b_wt -0.0384981117 0.0006394889
#> 2044 b_wt -0.0319914756 0.0006424534
#> 2045 b_wt -0.0254848395 0.0006445892
#> 2046 b_wt -0.0189782034 0.0006458627
#> 2047 b_wt -0.0124715673 0.0006462457
#> 2048 b_wt -0.0059649312 0.0006457149
#> 2049 b_cyl -3.1577054482 0.0016466464
#> 2050 b_cyl -3.1540297081 0.0016853322
#> 2051 b_cyl -3.1503539680 0.0017241907
#> 2052 b_cyl -3.1466782278 0.0017633448
#> 2053 b_cyl -3.1430024877 0.0018028160
#> 2054 b_cyl -3.1393267476 0.0018426669
#> 2055 b_cyl -3.1356510075 0.0018829622
#> 2056 b_cyl -3.1319752674 0.0019237687
#> 2057 b_cyl -3.1282995273 0.0019651544
#> 2058 b_cyl -3.1246237872 0.0020072820
#> 2059 b_cyl -3.1209480471 0.0020502330
#> 2060 b_cyl -3.1172723070 0.0020940103
#> 2061 b_cyl -3.1135965669 0.0021386812
#> 2062 b_cyl -3.1099208268 0.0021843113
#> 2063 b_cyl -3.1062450867 0.0022309646
#> 2064 b_cyl -3.1025693466 0.0022787308
#> 2065 b_cyl -3.0988936065 0.0023278917
#> 2066 b_cyl -3.0952178664 0.0023782821
#> 2067 b_cyl -3.0915421263 0.0024299520
#> 2068 b_cyl -3.0878663862 0.0024829484
#> 2069 b_cyl -3.0841906461 0.0025373148
#> 2070 b_cyl -3.0805149060 0.0025930922
#> 2071 b_cyl -3.0768391659 0.0026505397
#> 2072 b_cyl -3.0731634258 0.0027096005
#> 2073 b_cyl -3.0694876857 0.0027701925
#> 2074 b_cyl -3.0658119456 0.0028323438
#> 2075 b_cyl -3.0621362055 0.0028960811
#> 2076 b_cyl -3.0584604654 0.0029614299
#> 2077 b_cyl -3.0547847253 0.0030284931
#> 2078 b_cyl -3.0511089852 0.0030975228
#> 2079 b_cyl -3.0474332451 0.0031682528
#> 2080 b_cyl -3.0437575050 0.0032407100
#> 2081 b_cyl -3.0400817649 0.0033149228
#> 2082 b_cyl -3.0364060248 0.0033909214
#> 2083 b_cyl -3.0327302847 0.0034687385
#> 2084 b_cyl -3.0290545446 0.0035487358
#> 2085 b_cyl -3.0253788045 0.0036307515
#> 2086 b_cyl -3.0217030644 0.0037147301
#> 2087 b_cyl -3.0180273243 0.0038007205
#> 2088 b_cyl -3.0143515842 0.0038887752
#> 2089 b_cyl -3.0106758441 0.0039789500
#> 2090 b_cyl -3.0070001040 0.0040714620
#> 2091 b_cyl -3.0033243639 0.0041665938
#> 2092 b_cyl -2.9996486238 0.0042640751
#> 2093 b_cyl -2.9959728837 0.0043639767
#> 2094 b_cyl -2.9922971436 0.0044663712
#> 2095 b_cyl -2.9886214035 0.0045713325
#> 2096 b_cyl -2.9849456634 0.0046789356
#> 2097 b_cyl -2.9812699233 0.0047898030
#> 2098 b_cyl -2.9775941832 0.0049035904
#> 2099 b_cyl -2.9739184431 0.0050202837
#> 2100 b_cyl -2.9702427030 0.0051399525
#> 2101 b_cyl -2.9665669629 0.0052626633
#> 2102 b_cyl -2.9628912228 0.0053884793
#> 2103 b_cyl -2.9592154827 0.0055177589
#> 2104 b_cyl -2.9555397426 0.0056507054
#> 2105 b_cyl -2.9518640025 0.0057869425
#> 2106 b_cyl -2.9481882623 0.0059265082
#> 2107 b_cyl -2.9445125222 0.0060694347
#> 2108 b_cyl -2.9408367821 0.0062157485
#> 2109 b_cyl -2.9371610420 0.0063654701
#> 2110 b_cyl -2.9334853019 0.0065193554
#> 2111 b_cyl -2.9298095618 0.0066767009
#> 2112 b_cyl -2.9261338217 0.0068374751
#> 2113 b_cyl -2.9224580816 0.0070016720
#> 2114 b_cyl -2.9187823415 0.0071692823
#> 2115 b_cyl -2.9151066014 0.0073402937
#> 2116 b_cyl -2.9114308613 0.0075150785
#> 2117 b_cyl -2.9077551212 0.0076935960
#> 2118 b_cyl -2.9040793811 0.0078754604
#> 2119 b_cyl -2.9004036410 0.0080606593
#> 2120 b_cyl -2.8967279009 0.0082491839
#> 2121 b_cyl -2.8930521608 0.0084410297
#> 2122 b_cyl -2.8893764207 0.0086362441
#> 2123 b_cyl -2.8857006806 0.0088354973
#> 2124 b_cyl -2.8820249405 0.0090381148
#> 2125 b_cyl -2.8783492004 0.0092441326
#> 2126 b_cyl -2.8746734603 0.0094535977
#> 2127 b_cyl -2.8709977202 0.0096665686
#> 2128 b_cyl -2.8673219801 0.0098831164
#> 2129 b_cyl -2.8636462400 0.0101038504
#> 2130 b_cyl -2.8599704999 0.0103287326
#> 2131 b_cyl -2.8562947598 0.0105575708
#> 2132 b_cyl -2.8526190197 0.0107905068
#> 2133 b_cyl -2.8489432796 0.0110276957
#> 2134 b_cyl -2.8452675395 0.0112693060
#> 2135 b_cyl -2.8415917994 0.0115156982
#> 2136 b_cyl -2.8379160593 0.0117678742
#> 2137 b_cyl -2.8342403192 0.0120251842
#> 2138 b_cyl -2.8305645791 0.0122878533
#> 2139 b_cyl -2.8268888390 0.0125561138
#> 2140 b_cyl -2.8232130989 0.0128302033
#> 2141 b_cyl -2.8195373588 0.0131103639
#> 2142 b_cyl -2.8158616187 0.0133979127
#> 2143 b_cyl -2.8121858786 0.0136925716
#> 2144 b_cyl -2.8085101385 0.0139941700
#> 2145 b_cyl -2.8048343984 0.0143029396
#> 2146 b_cyl -2.8011586583 0.0146191035
#> 2147 b_cyl -2.7974829182 0.0149428746
#> 2148 b_cyl -2.7938071781 0.0152749324
#> 2149 b_cyl -2.7901314380 0.0156163714
#> 2150 b_cyl -2.7864556979 0.0159660454
#> 2151 b_cyl -2.7827799578 0.0163240797
#> 2152 b_cyl -2.7791042177 0.0166905768
#> 2153 b_cyl -2.7754284776 0.0170656149
#> 2154 b_cyl -2.7717527375 0.0174492473
#> 2155 b_cyl -2.7680769974 0.0178430739
#> 2156 b_cyl -2.7644012573 0.0182458443
#> 2157 b_cyl -2.7607255172 0.0186571352
#> 2158 b_cyl -2.7570497771 0.0190768518
#> 2159 b_cyl -2.7533740370 0.0195048696
#> 2160 b_cyl -2.7496982968 0.0199410348
#> 2161 b_cyl -2.7460225567 0.0203857934
#> 2162 b_cyl -2.7423468166 0.0208392906
#> 2163 b_cyl -2.7386710765 0.0213001239
#> 2164 b_cyl -2.7349953364 0.0217679988
#> 2165 b_cyl -2.7313195963 0.0222425981
#> 2166 b_cyl -2.7276438562 0.0227235842
#> 2167 b_cyl -2.7239681161 0.0232106002
#> 2168 b_cyl -2.7202923760 0.0237043099
#> 2169 b_cyl -2.7166166359 0.0242031543
#> 2170 b_cyl -2.7129408958 0.0247066211
#> 2171 b_cyl -2.7092651557 0.0252142984
#> 2172 b_cyl -2.7055894156 0.0257257728
#> 2173 b_cyl -2.7019136755 0.0262406325
#> 2174 b_cyl -2.6982379354 0.0267587227
#> 2175 b_cyl -2.6945621953 0.0272795189
#> 2176 b_cyl -2.6908864552 0.0278022999
#> 2177 b_cyl -2.6872107151 0.0283267141
#> 2178 b_cyl -2.6835349750 0.0288524317
#> 2179 b_cyl -2.6798592349 0.0293791470
#> 2180 b_cyl -2.6761834948 0.0299065826
#> 2181 b_cyl -2.6725077547 0.0304345222
#> 2182 b_cyl -2.6688320146 0.0309626325
#> 2183 b_cyl -2.6651562745 0.0314907764
#> 2184 b_cyl -2.6614805344 0.0320188563
#> 2185 b_cyl -2.6578047943 0.0325468150
#> 2186 b_cyl -2.6541290542 0.0330746368
#> 2187 b_cyl -2.6504533141 0.0336023530
#> 2188 b_cyl -2.6467775740 0.0341301062
#> 2189 b_cyl -2.6431018339 0.0346580740
#> 2190 b_cyl -2.6394260938 0.0351864686
#> 2191 b_cyl -2.6357503537 0.0357155455
#> 2192 b_cyl -2.6320746136 0.0362456024
#> 2193 b_cyl -2.6283988735 0.0367770277
#> 2194 b_cyl -2.6247231334 0.0373106635
#> 2195 b_cyl -2.6210473933 0.0378467076
#> 2196 b_cyl -2.6173716532 0.0383856550
#> 2197 b_cyl -2.6136959131 0.0389280310
#> 2198 b_cyl -2.6100201730 0.0394743894
#> 2199 b_cyl -2.6063444329 0.0400253098
#> 2200 b_cyl -2.6026686928 0.0405823131
#> 2201 b_cyl -2.5989929527 0.0411458750
#> 2202 b_cyl -2.5953172126 0.0417162553
#> 2203 b_cyl -2.5916414725 0.0422941152
#> 2204 b_cyl -2.5879657324 0.0428801205
#> 2205 b_cyl -2.5842899923 0.0434749389
#> 2206 b_cyl -2.5806142522 0.0440797493
#> 2207 b_cyl -2.5769385121 0.0446967493
#> 2208 b_cyl -2.5732627720 0.0453249087
#> 2209 b_cyl -2.5695870319 0.0459648513
#> 2210 b_cyl -2.5659112918 0.0466171824
#> 2211 b_cyl -2.5622355517 0.0472824870
#> 2212 b_cyl -2.5585598116 0.0479613274
#> 2213 b_cyl -2.5548840715 0.0486568059
#> 2214 b_cyl -2.5512083313 0.0493678642
#> 2215 b_cyl -2.5475325912 0.0500942139
#> 2216 b_cyl -2.5438568511 0.0508362674
#> 2217 b_cyl -2.5401811110 0.0515944047
#> 2218 b_cyl -2.5365053709 0.0523689726
#> 2219 b_cyl -2.5328296308 0.0531615179
#> 2220 b_cyl -2.5291538907 0.0539737822
#> 2221 b_cyl -2.5254781506 0.0548034130
#> 2222 b_cyl -2.5218024105 0.0556505868
#> 2223 b_cyl -2.5181266704 0.0565154501
#> 2224 b_cyl -2.5144509303 0.0573981204
#> 2225 b_cyl -2.5107751902 0.0582986879
#> 2226 b_cyl -2.5070994501 0.0592207411
#> 2227 b_cyl -2.5034237100 0.0601613146
#> 2228 b_cyl -2.4997479699 0.0611198856
#> 2229 b_cyl -2.4960722298 0.0620964359
#> 2230 b_cyl -2.4923964897 0.0630909344
#> 2231 b_cyl -2.4887207496 0.0641033390
#> 2232 b_cyl -2.4850450095 0.0651352842
#> 2233 b_cyl -2.4813692694 0.0661873142
#> 2234 b_cyl -2.4776935293 0.0672570529
#> 2235 b_cyl -2.4740177892 0.0683444482
#> 2236 b_cyl -2.4703420491 0.0694494552
#> 2237 b_cyl -2.4666663090 0.0705720384
#> 2238 b_cyl -2.4629905689 0.0717121737
#> 2239 b_cyl -2.4593148288 0.0728736925
#> 2240 b_cyl -2.4556390887 0.0740528984
#> 2241 b_cyl -2.4519633486 0.0752497363
#> 2242 b_cyl -2.4482876085 0.0764642840
#> 2243 b_cyl -2.4446118684 0.0776966456
#> 2244 b_cyl -2.4409361283 0.0789469525
#> 2245 b_cyl -2.4372603882 0.0802175282
#> 2246 b_cyl -2.4335846481 0.0815084870
#> 2247 b_cyl -2.4299089080 0.0828181473
#> 2248 b_cyl -2.4262331679 0.0841468071
#> 2249 b_cyl -2.4225574278 0.0854947993
#> 2250 b_cyl -2.4188816877 0.0868624922
#> 2251 b_cyl -2.4152059476 0.0882506322
#> 2252 b_cyl -2.4115302075 0.0896637877
#> 2253 b_cyl -2.4078544674 0.0910982925
#> 2254 b_cyl -2.4041787273 0.0925547058
#> 2255 b_cyl -2.4005029872 0.0940336232
#> 2256 b_cyl -2.3968272471 0.0955356763
#> 2257 b_cyl -2.3931515070 0.0970615323
#> 2258 b_cyl -2.3894757669 0.0986154877
#> 2259 b_cyl -2.3858000268 0.1001972308
#> 2260 b_cyl -2.3821242867 0.1018054904
#> 2261 b_cyl -2.3784485466 0.1034411087
#> 2262 b_cyl -2.3747728065 0.1051049580
#> 2263 b_cyl -2.3710970664 0.1067979400
#> 2264 b_cyl -2.3674213263 0.1085222150
#> 2265 b_cyl -2.3637455862 0.1102836674
#> 2266 b_cyl -2.3600698461 0.1120777197
#> 2267 b_cyl -2.3563941060 0.1139054001
#> 2268 b_cyl -2.3527183659 0.1157677543
#> 2269 b_cyl -2.3490426257 0.1176658439
#> 2270 b_cyl -2.3453668856 0.1196007440
#> 2271 b_cyl -2.3416911455 0.1215799857
#> 2272 b_cyl -2.3380154054 0.1236012127
#> 2273 b_cyl -2.3343396653 0.1256631689
#> 2274 b_cyl -2.3306639252 0.1277669494
#> 2275 b_cyl -2.3269881851 0.1299136418
#> 2276 b_cyl -2.3233124450 0.1321043230
#> 2277 b_cyl -2.3196367049 0.1343429346
#> 2278 b_cyl -2.3159609648 0.1366355726
#> 2279 b_cyl -2.3122852247 0.1389758725
#> 2280 b_cyl -2.3086094846 0.1413647799
#> 2281 b_cyl -2.3049337445 0.1438031988
#> 2282 b_cyl -2.3012580044 0.1462919869
#> 2283 b_cyl -2.2975822643 0.1488319512
#> 2284 b_cyl -2.2939065242 0.1514336668
#> 2285 b_cyl -2.2902307841 0.1540903488
#> 2286 b_cyl -2.2865550440 0.1568004900
#> 2287 b_cyl -2.2828793039 0.1595645341
#> 2288 b_cyl -2.2792035638 0.1623828375
#> 2289 b_cyl -2.2755278237 0.1652556647
#> 2290 b_cyl -2.2718520836 0.1681878163
#> 2291 b_cyl -2.2681763435 0.1711823293
#> 2292 b_cyl -2.2645006034 0.1742313649
#> 2293 b_cyl -2.2608248633 0.1773346274
#> 2294 b_cyl -2.2571491232 0.1804917012
#> 2295 b_cyl -2.2534733831 0.1837020484
#> 2296 b_cyl -2.2497976430 0.1869650072
#> 2297 b_cyl -2.2461219029 0.1902902607
#> 2298 b_cyl -2.2424461628 0.1936665755
#> 2299 b_cyl -2.2387704227 0.1970919123
#> 2300 b_cyl -2.2350946826 0.2005649495
#> 2301 b_cyl -2.2314189425 0.2040842432
#> 2302 b_cyl -2.2277432024 0.2076482301
#> 2303 b_cyl -2.2240674623 0.2112595667
#> 2304 b_cyl -2.2203917222 0.2149160083
#> 2305 b_cyl -2.2167159821 0.2186105263
#> 2306 b_cyl -2.2130402420 0.2223410240
#> 2307 b_cyl -2.2093645019 0.2261053277
#> 2308 b_cyl -2.2056887618 0.2299011944
#> 2309 b_cyl -2.2020130217 0.2337264878
#> 2310 b_cyl -2.1983372816 0.2375836852
#> 2311 b_cyl -2.1946615415 0.2414639849
#> 2312 b_cyl -2.1909858014 0.2453649674
#> 2313 b_cyl -2.1873100613 0.2492842228
#> 2314 b_cyl -2.1836343212 0.2532193624
#> 2315 b_cyl -2.1799585811 0.2571680304
#> 2316 b_cyl -2.1762828410 0.2611289593
#> 2317 b_cyl -2.1726071009 0.2650986641
#> 2318 b_cyl -2.1689313608 0.2690740654
#> 2319 b_cyl -2.1652556207 0.2730532237
#> 2320 b_cyl -2.1615798806 0.2770343238
#> 2321 b_cyl -2.1579041405 0.2810156855
#> 2322 b_cyl -2.1542284004 0.2849956869
#> 2323 b_cyl -2.1505526602 0.2889721070
#> 2324 b_cyl -2.1468769201 0.2929442193
#> 2325 b_cyl -2.1432011800 0.2969112318
#> 2326 b_cyl -2.1395254399 0.3008725516
#> 2327 b_cyl -2.1358496998 0.3048277888
#> 2328 b_cyl -2.1321739597 0.3087767606
#> 2329 b_cyl -2.1284982196 0.3127186299
#> 2330 b_cyl -2.1248224795 0.3166544311
#> 2331 b_cyl -2.1211467394 0.3205853204
#> 2332 b_cyl -2.1174709993 0.3245122183
#> 2333 b_cyl -2.1137952592 0.3284362474
#> 2334 b_cyl -2.1101195191 0.3323587273
#> 2335 b_cyl -2.1064437790 0.3362812916
#> 2336 b_cyl -2.1027680389 0.3402066365
#> 2337 b_cyl -2.0990922988 0.3441368002
#> 2338 b_cyl -2.0954165587 0.3480739699
#> 2339 b_cyl -2.0917408186 0.3520204558
#> 2340 b_cyl -2.0880650785 0.3559786766
#> 2341 b_cyl -2.0843893384 0.3599511460
#> 2342 b_cyl -2.0807135983 0.3639441274
#> 2343 b_cyl -2.0770378582 0.3679590333
#> 2344 b_cyl -2.0733621181 0.3719977067
#> 2345 b_cyl -2.0696863780 0.3760628364
#> 2346 b_cyl -2.0660106379 0.3801570823
#> 2347 b_cyl -2.0623348978 0.3842830584
#> 2348 b_cyl -2.0586591577 0.3884461218
#> 2349 b_cyl -2.0549834176 0.3926524541
#> 2350 b_cyl -2.0513076775 0.3968990783
#> 2351 b_cyl -2.0476319374 0.4011880488
#> 2352 b_cyl -2.0439561973 0.4055212555
#> 2353 b_cyl -2.0402804572 0.4099004112
#> 2354 b_cyl -2.0366047171 0.4143270387
#> 2355 b_cyl -2.0329289770 0.4188124199
#> 2356 b_cyl -2.0292532369 0.4233493572
#> 2357 b_cyl -2.0255774968 0.4279371394
#> 2358 b_cyl -2.0219017567 0.4325761070
#> 2359 b_cyl -2.0182260166 0.4372663523
#> 2360 b_cyl -2.0145502765 0.4420077163
#> 2361 b_cyl -2.0108745364 0.4468046084
#> 2362 b_cyl -2.0071987963 0.4516573746
#> 2363 b_cyl -2.0035230562 0.4565583467
#> 2364 b_cyl -1.9998473161 0.4615060676
#> 2365 b_cyl -1.9961715760 0.4664988490
#> 2366 b_cyl -1.9924958359 0.4715347787
#> 2367 b_cyl -1.9888200958 0.4766117289
#> 2368 b_cyl -1.9851443557 0.4817349888
#> 2369 b_cyl -1.9814686156 0.4868928721
#> 2370 b_cyl -1.9777928755 0.4920823513
#> 2371 b_cyl -1.9741171354 0.4973004046
#> 2372 b_cyl -1.9704413953 0.5025438885
#> 2373 b_cyl -1.9667656552 0.5078095528
#> 2374 b_cyl -1.9630899151 0.5130957199
#> 2375 b_cyl -1.9594141750 0.5183972082
#> 2376 b_cyl -1.9557384349 0.5237086067
#> 2377 b_cyl -1.9520626947 0.5290264190
#> 2378 b_cyl -1.9483869546 0.5343471614
#> 2379 b_cyl -1.9447112145 0.5396673774
#> 2380 b_cyl -1.9410354744 0.5449834946
#> 2381 b_cyl -1.9373597343 0.5502895998
#> 2382 b_cyl -1.9336839942 0.5555833583
#> 2383 b_cyl -1.9300082541 0.5608617233
#> 2384 b_cyl -1.9263325140 0.5661217727
#> 2385 b_cyl -1.9226567739 0.5713607186
#> 2386 b_cyl -1.9189810338 0.5765759161
#> 2387 b_cyl -1.9153052937 0.5817606582
#> 2388 b_cyl -1.9116295536 0.5869134636
#> 2389 b_cyl -1.9079538135 0.5920345638
#> 2390 b_cyl -1.9042780734 0.5971221809
#> 2391 b_cyl -1.9006023333 0.6021747142
#> 2392 b_cyl -1.8969265932 0.6071907402
#> 2393 b_cyl -1.8932508531 0.6121673820
#> 2394 b_cyl -1.8895751130 0.6170977879
#> 2395 b_cyl -1.8858993729 0.6219881796
#> 2396 b_cyl -1.8822236328 0.6268380161
#> 2397 b_cyl -1.8785478927 0.6316469061
#> 2398 b_cyl -1.8748721526 0.6364146014
#> 2399 b_cyl -1.8711964125 0.6411409894
#> 2400 b_cyl -1.8675206724 0.6458193039
#> 2401 b_cyl -1.8638449323 0.6504541994
#> 2402 b_cyl -1.8601691922 0.6550484643
#> 2403 b_cyl -1.8564934521 0.6596025161
#> 2404 b_cyl -1.8528177120 0.6641168372
#> 2405 b_cyl -1.8491419719 0.6685919647
#> 2406 b_cyl -1.8454662318 0.6730260472
#> 2407 b_cyl -1.8417904917 0.6774163186
#> 2408 b_cyl -1.8381147516 0.6817695979
#> 2409 b_cyl -1.8344390115 0.6860865120
#> 2410 b_cyl -1.8307632714 0.6903676686
#> 2411 b_cyl -1.8270875313 0.6946136477
#> 2412 b_cyl -1.8234117912 0.6988249938
#> 2413 b_cyl -1.8197360511 0.7029958999
#> 2414 b_cyl -1.8160603110 0.7071320595
#> 2415 b_cyl -1.8123845709 0.7112350160
#> 2416 b_cyl -1.8087088308 0.7153049919
#> 2417 b_cyl -1.8050330907 0.7193421302
#> 2418 b_cyl -1.8013573506 0.7233464905
#> 2419 b_cyl -1.7976816105 0.7273151674
#> 2420 b_cyl -1.7940058704 0.7312462638
#> 2421 b_cyl -1.7903301303 0.7351439815
#> 2422 b_cyl -1.7866543902 0.7390079183
#> 2423 b_cyl -1.7829786501 0.7428375853
#> 2424 b_cyl -1.7793029100 0.7466324098
#> 2425 b_cyl -1.7756271699 0.7503917372
#> 2426 b_cyl -1.7719514298 0.7541069114
#> 2427 b_cyl -1.7682756897 0.7577839989
#> 2428 b_cyl -1.7645999496 0.7614225632
#> 2429 b_cyl -1.7609242095 0.7650216138
#> 2430 b_cyl -1.7572484694 0.7685801173
#> 2431 b_cyl -1.7535727292 0.7720970042
#> 2432 b_cyl -1.7498969891 0.7755663059
#> 2433 b_cyl -1.7462212490 0.7789861985
#> 2434 b_cyl -1.7425455089 0.7823604859
#> 2435 b_cyl -1.7388697688 0.7856880650
#> 2436 b_cyl -1.7351940287 0.7889678578
#> 2437 b_cyl -1.7315182886 0.7921988205
#> 2438 b_cyl -1.7278425485 0.7953794987
#> 2439 b_cyl -1.7241668084 0.7984981329
#> 2440 b_cyl -1.7204910683 0.8015646908
#> 2441 b_cyl -1.7168153282 0.8045784712
#> 2442 b_cyl -1.7131395881 0.8075388704
#> 2443 b_cyl -1.7094638480 0.8104453895
#> 2444 b_cyl -1.7057881079 0.8132976416
#> 2445 b_cyl -1.7021123678 0.8160881162
#> 2446 b_cyl -1.6984366277 0.8188189474
#> 2447 b_cyl -1.6947608876 0.8214953276
#> 2448 b_cyl -1.6910851475 0.8241175707
#> 2449 b_cyl -1.6874094074 0.8266861408
#> 2450 b_cyl -1.6837336673 0.8292016538
#> 2451 b_cyl -1.6800579272 0.8316632693
#> 2452 b_cyl -1.6763821871 0.8340640821
#> 2453 b_cyl -1.6727064470 0.8364154512
#> 2454 b_cyl -1.6690307069 0.8387187940
#> 2455 b_cyl -1.6653549668 0.8409756727
#> 2456 b_cyl -1.6616792267 0.8431877901
#> 2457 b_cyl -1.6580034866 0.8453569843
#> 2458 b_cyl -1.6543277465 0.8474793612
#> 2459 b_cyl -1.6506520064 0.8495613821
#> 2460 b_cyl -1.6469762663 0.8516081706
#> 2461 b_cyl -1.6433005262 0.8536221168
#> 2462 b_cyl -1.6396247861 0.8556056786
#> 2463 b_cyl -1.6359490460 0.8575613700
#> 2464 b_cyl -1.6322733059 0.8594905641
#> 2465 b_cyl -1.6285975658 0.8613942476
#> 2466 b_cyl -1.6249218257 0.8632792814
#> 2467 b_cyl -1.6212460856 0.8651482057
#> 2468 b_cyl -1.6175703455 0.8670035084
#> 2469 b_cyl -1.6138946054 0.8688476091
#> 2470 b_cyl -1.6102188653 0.8706828437
#> 2471 b_cyl -1.6065431252 0.8725108118
#> 2472 b_cyl -1.6028673851 0.8743350329
#> 2473 b_cyl -1.5991916450 0.8761575651
#> 2474 b_cyl -1.5955159049 0.8779799943
#> 2475 b_cyl -1.5918401648 0.8798037090
#> 2476 b_cyl -1.5881644247 0.8816298872
#> 2477 b_cyl -1.5844886846 0.8834598089
#> 2478 b_cyl -1.5808129445 0.8852945735
#> 2479 b_cyl -1.5771372044 0.8871338079
#> 2480 b_cyl -1.5734614643 0.8889773745
#> 2481 b_cyl -1.5697857242 0.8908248533
#> 2482 b_cyl -1.5661099841 0.8926755366
#> 2483 b_cyl -1.5624342440 0.8945284254
#> 2484 b_cyl -1.5587585039 0.8963818433
#> 2485 b_cyl -1.5550827638 0.8982333117
#> 2486 b_cyl -1.5514070236 0.9000805793
#> 2487 b_cyl -1.5477312835 0.9019211208
#> 2488 b_cyl -1.5440555434 0.9037521335
#> 2489 b_cyl -1.5403798033 0.9055705441
#> 2490 b_cyl -1.5367040632 0.9073709001
#> 2491 b_cyl -1.5330283231 0.9091473896
#> 2492 b_cyl -1.5293525830 0.9108979834
#> 2493 b_cyl -1.5256768429 0.9126184094
#> 2494 b_cyl -1.5220011028 0.9143042202
#> 2495 b_cyl -1.5183253627 0.9159508103
#> 2496 b_cyl -1.5146496226 0.9175534328
#> 2497 b_cyl -1.5109738825 0.9190945341
#> 2498 b_cyl -1.5072981424 0.9205788176
#> 2499 b_cyl -1.5036224023 0.9220012714
#> 2500 b_cyl -1.4999466622 0.9233568114
#> 2501 b_cyl -1.4962709221 0.9246403639
#> 2502 b_cyl -1.4925951820 0.9258468862
#> 2503 b_cyl -1.4889194419 0.9269604813
#> 2504 b_cyl -1.4852437018 0.9279759428
#> 2505 b_cyl -1.4815679617 0.9288970950
#> 2506 b_cyl -1.4778922216 0.9297194590
#> 2507 b_cyl -1.4742164815 0.9304387348
#> 2508 b_cyl -1.4705407414 0.9310508178
#> 2509 b_cyl -1.4668650013 0.9315493278
#> 2510 b_cyl -1.4631892612 0.9319085419
#> 2511 b_cyl -1.4595135211 0.9321479677
#> 2512 b_cyl -1.4558377810 0.9322647960
#> 2513 b_cyl -1.4521620409 0.9322565083
#> 2514 b_cyl -1.4484863008 0.9321208838
#> 2515 b_cyl -1.4448105607 0.9318560061
#> 2516 b_cyl -1.4411348206 0.9314410338
#> 2517 b_cyl -1.4374590805 0.9308830738
#> 2518 b_cyl -1.4337833404 0.9301919624
#> 2519 b_cyl -1.4301076003 0.9293674267
#> 2520 b_cyl -1.4264318602 0.9284095044
#> 2521 b_cyl -1.4227561201 0.9273185389
#> 2522 b_cyl -1.4190803800 0.9260893861
#> 2523 b_cyl -1.4154046399 0.9247056393
#> 2524 b_cyl -1.4117288998 0.9231927410
#> 2525 b_cyl -1.4080531597 0.9215524937
#> 2526 b_cyl -1.4043774196 0.9197869400
#> 2527 b_cyl -1.4007016795 0.9178983509
#> 2528 b_cyl -1.3970259394 0.9158892135
#> 2529 b_cyl -1.3933501993 0.9137431806
#> 2530 b_cyl -1.3896744592 0.9114773503
#> 2531 b_cyl -1.3859987191 0.9091015938
#> 2532 b_cyl -1.3823229790 0.9066192465
#> 2533 b_cyl -1.3786472389 0.9040337521
#> 2534 b_cyl -1.3749714988 0.9013486478
#> 2535 b_cyl -1.3712957587 0.8985614662
#> 2536 b_cyl -1.3676200186 0.8956690330
#> 2537 b_cyl -1.3639442785 0.8926901947
#> 2538 b_cyl -1.3602685384 0.8896287000
#> 2539 b_cyl -1.3565927983 0.8864882866
#> 2540 b_cyl -1.3529170581 0.8832726697
#> 2541 b_cyl -1.3492413180 0.8799855302
#> 2542 b_cyl -1.3455655779 0.8766185903
#> 2543 b_cyl -1.3418898378 0.8731870351
#> 2544 b_cyl -1.3382140977 0.8696965447
#> 2545 b_cyl -1.3345383576 0.8661504184
#> 2546 b_cyl -1.3308626175 0.8625518522
#> 2547 b_cyl -1.3271868774 0.8589039328
#> 2548 b_cyl -1.3235111373 0.8552058232
#> 2549 b_cyl -1.3198353972 0.8514594941
#> 2550 b_cyl -1.3161596571 0.8476737275
#> 2551 b_cyl -1.3124839170 0.8438509461
#> 2552 b_cyl -1.3088081769 0.8399934349
#> 2553 b_cyl -1.3051324368 0.8361033393
#> 2554 b_cyl -1.3014566967 0.8321826652
#> 2555 b_cyl -1.2977809566 0.8282276895
#> 2556 b_cyl -1.2941052165 0.8242462298
#> 2557 b_cyl -1.2904294764 0.8202400262
#> 2558 b_cyl -1.2867537363 0.8162103637
#> 2559 b_cyl -1.2830779962 0.8121583959
#> 2560 b_cyl -1.2794022561 0.8080851478
#> 2561 b_cyl -1.2757265160 0.8039893424
#> 2562 b_cyl -1.2720507759 0.7998719944
#> 2563 b_cyl -1.2683750358 0.7957359084
#> 2564 b_cyl -1.2646992957 0.7915815062
#> 2565 b_cyl -1.2610235556 0.7874091096
#> 2566 b_cyl -1.2573478155 0.7832189455
#> 2567 b_cyl -1.2536720754 0.7790109501
#> 2568 b_cyl -1.2499963353 0.7747815909
#> 2569 b_cyl -1.2463205952 0.7705345166
#> 2570 b_cyl -1.2426448551 0.7662695515
#> 2571 b_cyl -1.2389691150 0.7619864635
#> 2572 b_cyl -1.2352933749 0.7576849690
#> 2573 b_cyl -1.2316176348 0.7533647384
#> 2574 b_cyl -1.2279418947 0.7490227366
#> 2575 b_cyl -1.2242661546 0.7446592451
#> 2576 b_cyl -1.2205904145 0.7402755304
#> 2577 b_cyl -1.2169146744 0.7358711287
#> 2578 b_cyl -1.2132389343 0.7314455705
#> 2579 b_cyl -1.2095631942 0.7269983854
#> 2580 b_cyl -1.2058874541 0.7225283342
#> 2581 b_cyl -1.2022117140 0.7180312683
#> 2582 b_cyl -1.1985359739 0.7135109939
#> 2583 b_cyl -1.1948602338 0.7089671326
#> 2584 b_cyl -1.1911844937 0.7043993419
#> 2585 b_cyl -1.1875087536 0.6998073190
#> 2586 b_cyl -1.1838330135 0.6951908052
#> 2587 b_cyl -1.1801572734 0.6905456648
#> 2588 b_cyl -1.1764815333 0.6858739863
#> 2589 b_cyl -1.1728057932 0.6811774042
#> 2590 b_cyl -1.1691300531 0.6764559661
#> 2591 b_cyl -1.1654543130 0.6717097903
#> 2592 b_cyl -1.1617785729 0.6669390686
#> 2593 b_cyl -1.1581028328 0.6621427195
#> 2594 b_cyl -1.1544270926 0.6573186337
#> 2595 b_cyl -1.1507513525 0.6524714146
#> 2596 b_cyl -1.1470756124 0.6476016794
#> 2597 b_cyl -1.1433998723 0.6427101323
#> 2598 b_cyl -1.1397241322 0.6377975653
#> 2599 b_cyl -1.1360483921 0.6328648588
#> 2600 b_cyl -1.1323726520 0.6279098296
#> 2601 b_cyl -1.1286969119 0.6229365676
#> 2602 b_cyl -1.1250211718 0.6179471609
#> 2603 b_cyl -1.1213454317 0.6129429471
#> 2604 b_cyl -1.1176696916 0.6079253474
#> 2605 b_cyl -1.1139939515 0.6028958646
#> 2606 b_cyl -1.1103182114 0.5978554507
#> 2607 b_cyl -1.1066424713 0.5928059509
#> 2608 b_cyl -1.1029667312 0.5877506524
#> 2609 b_cyl -1.0992909911 0.5826914346
#> 2610 b_cyl -1.0956152510 0.5776302358
#> 2611 b_cyl -1.0919395109 0.5725690487
#> 2612 b_cyl -1.0882637708 0.5675099164
#> 2613 b_cyl -1.0845880307 0.5624564476
#> 2614 b_cyl -1.0809122906 0.5574106182
#> 2615 b_cyl -1.0772365505 0.5523745115
#> 2616 b_cyl -1.0735608104 0.5473503261
#> 2617 b_cyl -1.0698850703 0.5423402687
#> 2618 b_cyl -1.0662093302 0.5373465480
#> 2619 b_cyl -1.0625335901 0.5323735804
#> 2620 b_cyl -1.0588578500 0.5274248975
#> 2621 b_cyl -1.0551821099 0.5225003215
#> 2622 b_cyl -1.0515063698 0.5176019378
#> 2623 b_cyl -1.0478306297 0.5127317821
#> 2624 b_cyl -1.0441548896 0.5078918332
#> 2625 b_cyl -1.0404791495 0.5030840495
#> 2626 b_cyl -1.0368034094 0.4983184290
#> 2627 b_cyl -1.0331276693 0.4935894480
#> 2628 b_cyl -1.0294519292 0.4888986641
#> 2629 b_cyl -1.0257761891 0.4842475305
#> 2630 b_cyl -1.0221004490 0.4796373911
#> 2631 b_cyl -1.0184247089 0.4750694759
#> 2632 b_cyl -1.0147489688 0.4705504763
#> 2633 b_cyl -1.0110732287 0.4660805798
#> 2634 b_cyl -1.0073974886 0.4616561444
#> 2635 b_cyl -1.0037217485 0.4572777310
#> 2636 b_cyl -1.0000460084 0.4529457636
#> 2637 b_cyl -0.9963702683 0.4486605296
#> 2638 b_cyl -0.9926945282 0.4444233005
#> 2639 b_cyl -0.9890187881 0.4402422907
#> 2640 b_cyl -0.9853430480 0.4361078013
#> 2641 b_cyl -0.9816673079 0.4320194185
#> 2642 b_cyl -0.9779915678 0.4279766041
#> 2643 b_cyl -0.9743158277 0.4239787003
#> 2644 b_cyl -0.9706400876 0.4200249337
#> 2645 b_cyl -0.9669643475 0.4161205798
#> 2646 b_cyl -0.9632886074 0.4122611405
#> 2647 b_cyl -0.9596128673 0.4084421159
#> 2648 b_cyl -0.9559371271 0.4046622505
#> 2649 b_cyl -0.9522613870 0.4009202232
#> 2650 b_cyl -0.9485856469 0.3972146555
#> 2651 b_cyl -0.9449099068 0.3935456616
#> 2652 b_cyl -0.9412341667 0.3899155833
#> 2653 b_cyl -0.9375584266 0.3863166839
#> 2654 b_cyl -0.9338826865 0.3827474458
#> 2655 b_cyl -0.9302069464 0.3792063578
#> 2656 b_cyl -0.9265312063 0.3756919222
#> 2657 b_cyl -0.9228554662 0.3722026625
#> 2658 b_cyl -0.9191797261 0.3687408225
#> 2659 b_cyl -0.9155039860 0.3653018165
#> 2660 b_cyl -0.9118282459 0.3618830820
#> 2661 b_cyl -0.9081525058 0.3584833931
#> 2662 b_cyl -0.9044767657 0.3551015926
#> 2663 b_cyl -0.9008010256 0.3517365960
#> 2664 b_cyl -0.8971252855 0.3483884075
#> 2665 b_cyl -0.8934495454 0.3450570624
#> 2666 b_cyl -0.8897738053 0.3417393800
#> 2667 b_cyl -0.8860980652 0.3384347077
#> 2668 b_cyl -0.8824223251 0.3351424786
#> 2669 b_cyl -0.8787465850 0.3318622110
#> 2670 b_cyl -0.8750708449 0.3285935072
#> 2671 b_cyl -0.8713951048 0.3253381708
#> 2672 b_cyl -0.8677193647 0.3220941518
#> 2673 b_cyl -0.8640436246 0.3188610193
#> 2674 b_cyl -0.8603678845 0.3156387604
#> 2675 b_cyl -0.8566921444 0.3124274215
#> 2676 b_cyl -0.8530164043 0.3092271036
#> 2677 b_cyl -0.8493406642 0.3060390149
#> 2678 b_cyl -0.8456649241 0.3028639211
#> 2679 b_cyl -0.8419891840 0.2997006024
#> 2680 b_cyl -0.8383134439 0.2965493441
#> 2681 b_cyl -0.8346377038 0.2934104460
#> 2682 b_cyl -0.8309619637 0.2902842182
#> 2683 b_cyl -0.8272862236 0.2871709752
#> 2684 b_cyl -0.8236104835 0.2840740033
#> 2685 b_cyl -0.8199347434 0.2809909180
#> 2686 b_cyl -0.8162590033 0.2779218732
#> 2687 b_cyl -0.8125832632 0.2748671192
#> 2688 b_cyl -0.8089075231 0.2718268814
#> 2689 b_cyl -0.8052317830 0.2688013573
#> 2690 b_cyl -0.8015560429 0.2657924430
#> 2691 b_cyl -0.7978803028 0.2628002283
#> 2692 b_cyl -0.7942045627 0.2598231353
#> 2693 b_cyl -0.7905288226 0.2568611883
#> 2694 b_cyl -0.7868530825 0.2539143771
#> 2695 b_cyl -0.7831773424 0.2509826580
#> 2696 b_cyl -0.7795016023 0.2480661606
#> 2697 b_cyl -0.7758258622 0.2451676562
#> 2698 b_cyl -0.7721501221 0.2422838104
#> 2699 b_cyl -0.7684743820 0.2394144331
#> 2700 b_cyl -0.7647986419 0.2365593155
#> 2701 b_cyl -0.7611229018 0.2337182325
#> 2702 b_cyl -0.7574471616 0.2308909457
#> 2703 b_cyl -0.7537714215 0.2280790188
#> 2704 b_cyl -0.7500956814 0.2252814137
#> 2705 b_cyl -0.7464199413 0.2224967005
#> 2706 b_cyl -0.7427442012 0.2197246339
#> 2707 b_cyl -0.7390684611 0.2169649789
#> 2708 b_cyl -0.7353927210 0.2142175136
#> 2709 b_cyl -0.7317169809 0.2114824615
#> 2710 b_cyl -0.7280412408 0.2087613689
#> 2711 b_cyl -0.7243655007 0.2060518491
#> 2712 b_cyl -0.7206897606 0.2033537977
#> 2713 b_cyl -0.7170140205 0.2006671408
#> 2714 b_cyl -0.7133382804 0.1979918358
#> 2715 b_cyl -0.7096625403 0.1953278735
#> 2716 b_cyl -0.7059868002 0.1926771210
#> 2717 b_cyl -0.7023110601 0.1900386036
#> 2718 b_cyl -0.6986353200 0.1874117276
#> 2719 b_cyl -0.6949595799 0.1847966688
#> 2720 b_cyl -0.6912838398 0.1821936389
#> 2721 b_cyl -0.6876080997 0.1796028847
#> 2722 b_cyl -0.6839323596 0.1770254591
#> 2723 b_cyl -0.6802566195 0.1744631970
#> 2724 b_cyl -0.6765808794 0.1719144021
#> 2725 b_cyl -0.6729051393 0.1693794890
#> 2726 b_cyl -0.6692293992 0.1668588995
#> 2727 b_cyl -0.6655536591 0.1643531015
#> 2728 b_cyl -0.6618779190 0.1618625872
#> 2729 b_cyl -0.6582021789 0.1593909163
#> 2730 b_cyl -0.6545264388 0.1569365751
#> 2731 b_cyl -0.6508506987 0.1544994715
#> 2732 b_cyl -0.6471749586 0.1520801910
#> 2733 b_cyl -0.6434992185 0.1496793304
#> 2734 b_cyl -0.6398234784 0.1472974961
#> 2735 b_cyl -0.6361477383 0.1449369839
#> 2736 b_cyl -0.6324719982 0.1425999054
#> 2737 b_cyl -0.6287962581 0.1402840708
#> 2738 b_cyl -0.6251205180 0.1379901008
#> 2739 b_cyl -0.6214447779 0.1357186117
#> 2740 b_cyl -0.6177690378 0.1334702142
#> 2741 b_cyl -0.6140932977 0.1312455115
#> 2742 b_cyl -0.6104175576 0.1290502775
#> 2743 b_cyl -0.6067418175 0.1268806979
#> 2744 b_cyl -0.6030660774 0.1247368564
#> 2745 b_cyl -0.5993903373 0.1226192821
#> 2746 b_cyl -0.5957145972 0.1205284841
#> 2747 b_cyl -0.5920388571 0.1184649497
#> 2748 b_cyl -0.5883631170 0.1164321100
#> 2749 b_cyl -0.5846873769 0.1144309993
#> 2750 b_cyl -0.5810116368 0.1124586589
#> 2751 b_cyl -0.5773358967 0.1105154329
#> 2752 b_cyl -0.5736601566 0.1086016333
#> 2753 b_cyl -0.5699844165 0.1067175379
#> 2754 b_cyl -0.5663086764 0.1048635022
#> 2755 b_cyl -0.5626329363 0.1030463352
#> 2756 b_cyl -0.5589571962 0.1012595398
#> 2757 b_cyl -0.5552814560 0.0995031981
#> 2758 b_cyl -0.5516057159 0.0977773518
#> 2759 b_cyl -0.5479299758 0.0960820019
#> 2760 b_cyl -0.5442542357 0.0944171080
#> 2761 b_cyl -0.5405784956 0.0927864322
#> 2762 b_cyl -0.5369027555 0.0911888466
#> 2763 b_cyl -0.5332270154 0.0896211834
#> 2764 b_cyl -0.5295512753 0.0880831874
#> 2765 b_cyl -0.5258755352 0.0865745632
#> 2766 b_cyl -0.5221997951 0.0850949769
#> 2767 b_cyl -0.5185240550 0.0836447996
#> 2768 b_cyl -0.5148483149 0.0822282984
#> 2769 b_cyl -0.5111725748 0.0808393066
#> 2770 b_cyl -0.5074968347 0.0794773083
#> 2771 b_cyl -0.5038210946 0.0781417585
#> 2772 b_cyl -0.5001453545 0.0768320848
#> 2773 b_cyl -0.4964696144 0.0755476895
#> 2774 b_cyl -0.4927938743 0.0742915083
#> 2775 b_cyl -0.4891181342 0.0730607800
#> 2776 b_cyl -0.4854423941 0.0718529972
#> 2777 b_cyl -0.4817666540 0.0706674698
#> 2778 b_cyl -0.4780909139 0.0695034986
#> 2779 b_cyl -0.4744151738 0.0683603768
#> 2780 b_cyl -0.4707394337 0.0672383357
#> 2781 b_cyl -0.4670636936 0.0661388336
#> 2782 b_cyl -0.4633879535 0.0650576341
#> 2783 b_cyl -0.4597122134 0.0639940358
#> 2784 b_cyl -0.4560364733 0.0629473464
#> 2785 b_cyl -0.4523607332 0.0619168847
#> 2786 b_cyl -0.4486849931 0.0609019824
#> 2787 b_cyl -0.4450092530 0.0599044005
#> 2788 b_cyl -0.4413335129 0.0589215072
#> 2789 b_cyl -0.4376577728 0.0579519461
#> 2790 b_cyl -0.4339820327 0.0569951493
#> 2791 b_cyl -0.4303062926 0.0560505734
#> 2792 b_cyl -0.4266305525 0.0551177000
#> 2793 b_cyl -0.4229548124 0.0541967982
#> 2794 b_cyl -0.4192790723 0.0532881038
#> 2795 b_cyl -0.4156033322 0.0523895083
#> 2796 b_cyl -0.4119275921 0.0515006400
#> 2797 b_cyl -0.4082518520 0.0506211566
#> 2798 b_cyl -0.4045761119 0.0497507458
#> 2799 b_cyl -0.4009003718 0.0488891248
#> 2800 b_cyl -0.3972246317 0.0480376500
#> 2801 b_cyl -0.3935488916 0.0471946408
#> 2802 b_cyl -0.3898731515 0.0463596900
#> 2803 b_cyl -0.3861974114 0.0455326650
#> 2804 b_cyl -0.3825216713 0.0447134599
#> 2805 b_cyl -0.3788459312 0.0439019948
#> 2806 b_cyl -0.3751701911 0.0430989401
#> 2807 b_cyl -0.3714944510 0.0423045431
#> 2808 b_cyl -0.3678187109 0.0415178222
#> 2809 b_cyl -0.3641429708 0.0407388153
#> 2810 b_cyl -0.3604672307 0.0399675788
#> 2811 b_cyl -0.3567914905 0.0392041859
#> 2812 b_cyl -0.3531157504 0.0384487260
#> 2813 b_cyl -0.3494400103 0.0377031012
#> 2814 b_cyl -0.3457642702 0.0369657629
#> 2815 b_cyl -0.3420885301 0.0362367983
#> 2816 b_cyl -0.3384127900 0.0355163532
#> 2817 b_cyl -0.3347370499 0.0348045793
#> 2818 b_cyl -0.3310613098 0.0341016331
#> 2819 b_cyl -0.3273855697 0.0334087557
#> 2820 b_cyl -0.3237098296 0.0327260873
#> 2821 b_cyl -0.3200340895 0.0320528182
#> 2822 b_cyl -0.3163583494 0.0313891028
#> 2823 b_cyl -0.3126826093 0.0307350903
#> 2824 b_cyl -0.3090068692 0.0300909242
#> 2825 b_cyl -0.3053311291 0.0294569062
#> 2826 b_cyl -0.3016553890 0.0288351465
#> 2827 b_cyl -0.2979796489 0.0282236688
#> 2828 b_cyl -0.2943039088 0.0276225657
#> 2829 b_cyl -0.2906281687 0.0270319169
#> 2830 b_cyl -0.2869524286 0.0264517885
#> 2831 b_cyl -0.2832766885 0.0258822328
#> 2832 b_cyl -0.2796009484 0.0253247764
#> 2833 b_cyl -0.2759252083 0.0247788489
#> 2834 b_cyl -0.2722494682 0.0242435400
#> 2835 b_cyl -0.2685737281 0.0237188223
#> 2836 b_cyl -0.2648979880 0.0232046529
#> 2837 b_cyl -0.2612222479 0.0227009733
#> 2838 b_cyl -0.2575465078 0.0222081116
#> 2839 b_cyl -0.2538707677 0.0217274484
#> 2840 b_cyl -0.2501950276 0.0212569303
#> 2841 b_cyl -0.2465192875 0.0207964242
#> 2842 b_cyl -0.2428435474 0.0203457849
#> 2843 b_cyl -0.2391678073 0.0199048555
#> 2844 b_cyl -0.2354920672 0.0194734682
#> 2845 b_cyl -0.2318163271 0.0190529227
#> 2846 b_cyl -0.2281405870 0.0186420156
#> 2847 b_cyl -0.2244648469 0.0182399667
#> 2848 b_cyl -0.2207891068 0.0178465681
#> 2849 b_cyl -0.2171133667 0.0174616075
#> 2850 b_cyl -0.2134376266 0.0170848695
#> 2851 b_cyl -0.2097618865 0.0167166117
#> 2852 b_cyl -0.2060861464 0.0163573133
#> 2853 b_cyl -0.2024104063 0.0160054539
#> 2854 b_cyl -0.1987346662 0.0156608174
#> 2855 b_cyl -0.1950589261 0.0153231906
#> 2856 b_cyl -0.1913831860 0.0149923639
#> 2857 b_cyl -0.1877074459 0.0146681322
#> 2858 b_cyl -0.1840317058 0.0143514280
#> 2859 b_cyl -0.1803559657 0.0140410687
#> 2860 b_cyl -0.1766802256 0.0137366259
#> 2861 b_cyl -0.1730044855 0.0134379278
#> 2862 b_cyl -0.1693287454 0.0131448106
#> 2863 b_cyl -0.1656530053 0.0128571179
#> 2864 b_cyl -0.1619772652 0.0125751315
#> 2865 b_cyl -0.1583015250 0.0122989457
#> 2866 b_cyl -0.1546257849 0.0120277005
#> 2867 b_cyl -0.1509500448 0.0117612817
#> 2868 b_cyl -0.1472743047 0.0114995829
#> 2869 b_cyl -0.1435985646 0.0112425049
#> 2870 b_cyl -0.1399228245 0.0109899557
#> 2871 b_cyl -0.1362470844 0.0107427511
#> 2872 b_cyl -0.1325713443 0.0104999456
#> 2873 b_cyl -0.1288956042 0.0102613995
#> 2874 b_cyl -0.1252198641 0.0100270508
#> 2875 b_cyl -0.1215441240 0.0097968418
#> 2876 b_cyl -0.1178683839 0.0095707189
#> 2877 b_cyl -0.1141926438 0.0093490573
#> 2878 b_cyl -0.1105169037 0.0091318324
#> 2879 b_cyl -0.1068411636 0.0089185278
#> 2880 b_cyl -0.1031654235 0.0087091021
#> 2881 b_cyl -0.0994896834 0.0085035150
#> 2882 b_cyl -0.0958139433 0.0083017266
#> 2883 b_cyl -0.0921382032 0.0081037207
#> 2884 b_cyl -0.0884624631 0.0079102336
#> 2885 b_cyl -0.0847867230 0.0077204037
#> 2886 b_cyl -0.0811109829 0.0075341902
#> 2887 b_cyl -0.0774352428 0.0073515514
#> 2888 b_cyl -0.0737595027 0.0071724449
#> 2889 b_cyl -0.0700837626 0.0069968269
#> 2890 b_cyl -0.0664080225 0.0068250916
#> 2891 b_cyl -0.0627322824 0.0066570526
#> 2892 b_cyl -0.0590565423 0.0064923361
#> 2893 b_cyl -0.0553808022 0.0063308931
#> 2894 b_cyl -0.0517050621 0.0061726738
#> 2895 b_cyl -0.0480293220 0.0060176274
#> 2896 b_cyl -0.0443535819 0.0058657910
#> 2897 b_cyl -0.0406778418 0.0057176048
#> 2898 b_cyl -0.0370021017 0.0055724054
#> 2899 b_cyl -0.0333263616 0.0054301400
#> 2900 b_cyl -0.0296506215 0.0052907563
#> 2901 b_cyl -0.0259748814 0.0051542017
#> 2902 b_cyl -0.0222991413 0.0050204245
#> 2903 b_cyl -0.0186234012 0.0048897777
#> 2904 b_cyl -0.0149476611 0.0047619731
#> 2905 b_cyl -0.0112719210 0.0046367659
#> 2906 b_cyl -0.0075961809 0.0045141087
#> 2907 b_cyl -0.0039204408 0.0043939549
#> 2908 b_cyl -0.0002447007 0.0042762595
#> 2909 b_cyl 0.0034310394 0.0041611007
#> 2910 b_cyl 0.0071067795 0.0040487091
#> 2911 b_cyl 0.0107825196 0.0039386292
#> 2912 b_cyl 0.0144582597 0.0038308250
#> 2913 b_cyl 0.0181339998 0.0037252623
#> 2914 b_cyl 0.0218097399 0.0036219094
#> 2915 b_cyl 0.0254854800 0.0035207365
#> 2916 b_cyl 0.0291612201 0.0034220878
#> 2917 b_cyl 0.0328369602 0.0033256612
#> 2918 b_cyl 0.0365127003 0.0032313315
#> 2919 b_cyl 0.0401884405 0.0031390819
#> 2920 b_cyl 0.0438641806 0.0030488984
#> 2921 b_cyl 0.0475399207 0.0029607695
#> 2922 b_cyl 0.0512156608 0.0028748385
#> 2923 b_cyl 0.0548914009 0.0027912541
#> 2924 b_cyl 0.0585671410 0.0027097089
#> 2925 b_cyl 0.0622428811 0.0026302057
#> 2926 b_cyl 0.0659186212 0.0025527499
#> 2927 b_cyl 0.0695943613 0.0024773492
#> 2928 b_cyl 0.0732701014 0.0024040141
#> 2929 b_cyl 0.0769458415 0.0023331735
#> 2930 b_cyl 0.0806215816 0.0022644919
#> 2931 b_cyl 0.0842973217 0.0021979323
#> 2932 b_cyl 0.0879730618 0.0021335147
#> 2933 b_cyl 0.0916488019 0.0020712601
#> 2934 b_cyl 0.0953245420 0.0020111903
#> 2935 b_cyl 0.0990002821 0.0019535452
#> 2936 b_cyl 0.1026760222 0.0018984251
#> 2937 b_cyl 0.1063517623 0.0018455696
#> 2938 b_cyl 0.1100275024 0.0017949992
#> 2939 b_cyl 0.1137032425 0.0017467327
#> 2940 b_cyl 0.1173789826 0.0017007872
#> 2941 b_cyl 0.1210547227 0.0016571775
#> 2942 b_cyl 0.1247304628 0.0016164361
#> 2943 b_cyl 0.1284062029 0.0015780611
#> 2944 b_cyl 0.1320819430 0.0015420432
#> 2945 b_cyl 0.1357576831 0.0015083780
#> 2946 b_cyl 0.1394334232 0.0014770560
#> 2947 b_cyl 0.1431091633 0.0014480626
#> 2948 b_cyl 0.1467849034 0.0014216491
#> 2949 b_cyl 0.1504606435 0.0013977388
#> 2950 b_cyl 0.1541363836 0.0013760502
#> 2951 b_cyl 0.1578121237 0.0013565369
#> 2952 b_cyl 0.1614878638 0.0013391463
#> 2953 b_cyl 0.1651636039 0.0013238188
#> 2954 b_cyl 0.1688393440 0.0013105243
#> 2955 b_cyl 0.1725150841 0.0012995190
#> 2956 b_cyl 0.1761908242 0.0012903057
#> 2957 b_cyl 0.1798665643 0.0012827921
#> 2958 b_cyl 0.1835423044 0.0012768807
#> 2959 b_cyl 0.1872180445 0.0012724686
#> 2960 b_cyl 0.1908937846 0.0012694483
#> 2961 b_cyl 0.1945695247 0.0012678656
#> 2962 b_cyl 0.1982452648 0.0012674800
#> 2963 b_cyl 0.2019210049 0.0012680664
#> 2964 b_cyl 0.2055967450 0.0012695015
#> 2965 b_cyl 0.2092724851 0.0012716608
#> 2966 b_cyl 0.2129482252 0.0012744197
#> 2967 b_cyl 0.2166239653 0.0012776666
#> 2968 b_cyl 0.2202997054 0.0012812811
#> 2969 b_cyl 0.2239754455 0.0012850590
#> 2970 b_cyl 0.2276511856 0.0012888860
#> 2971 b_cyl 0.2313269257 0.0012926520
#> 2972 b_cyl 0.2350026658 0.0012962520
#> 2973 b_cyl 0.2386784059 0.0012995866
#> 2974 b_cyl 0.2423541461 0.0013024829
#> 2975 b_cyl 0.2460298862 0.0013048701
#> 2976 b_cyl 0.2497056263 0.0013067014
#> 2977 b_cyl 0.2533813664 0.0013079165
#> 2978 b_cyl 0.2570571065 0.0013084638
#> 2979 b_cyl 0.2607328466 0.0013083010
#> 2980 b_cyl 0.2644085867 0.0013073457
#> 2981 b_cyl 0.2680843268 0.0013054988
#> 2982 b_cyl 0.2717600669 0.0013028781
#> 2983 b_cyl 0.2754358070 0.0012994915
#> 2984 b_cyl 0.2791115471 0.0012953562
#> 2985 b_cyl 0.2827872872 0.0012904987
#> 2986 b_cyl 0.2864630273 0.0012849548
#> 2987 b_cyl 0.2901387674 0.0012786648
#> 2988 b_cyl 0.2938145075 0.0012718016
#> 2989 b_cyl 0.2974902476 0.0012644571
#> 2990 b_cyl 0.3011659877 0.0012567066
#> 2991 b_cyl 0.3048417278 0.0012486308
#> 2992 b_cyl 0.3085174679 0.0012403156
#> 2993 b_cyl 0.3121932080 0.0012318503
#> 2994 b_cyl 0.3158689481 0.0012233680
#> 2995 b_cyl 0.3195446882 0.0012149868
#> 2996 b_cyl 0.3232204283 0.0012068064
#> 2997 b_cyl 0.3268961684 0.0011989264
#> 2998 b_cyl 0.3305719085 0.0011914459
#> 2999 b_cyl 0.3342476486 0.0011844624
#> 3000 b_cyl 0.3379233887 0.0011782257
#> 3001 b_cyl 0.3415991288 0.0011727313
#> 3002 b_cyl 0.3452748689 0.0011680531
#> 3003 b_cyl 0.3489506090 0.0011642687
#> 3004 b_cyl 0.3526263491 0.0011614495
#> 3005 b_cyl 0.3563020892 0.0011596607
#> 3006 b_cyl 0.3599778293 0.0011590873
#> 3007 b_cyl 0.3636535694 0.0011598020
#> 3008 b_cyl 0.3673293095 0.0011617124
#> 3009 b_cyl 0.3710050496 0.0011648439
#> 3010 b_cyl 0.3746807897 0.0011692138
#> 3011 b_cyl 0.3783565298 0.0011748306
#> 3012 b_cyl 0.3820322699 0.0011817057
#> 3013 b_cyl 0.3857080100 0.0011900796
#> 3014 b_cyl 0.3893837501 0.0011996572
#> 3015 b_cyl 0.3930594902 0.0012104051
#> 3016 b_cyl 0.3967352303 0.0012222826
#> 3017 b_cyl 0.4004109704 0.0012352423
#> 3018 b_cyl 0.4040867105 0.0012492302
#> 3019 b_cyl 0.4077624506 0.0012643009
#> 3020 b_cyl 0.4114381907 0.0012803192
#> 3021 b_cyl 0.4151139308 0.0012971207
#> 3022 b_cyl 0.4187896709 0.0013146259
#> 3023 b_cyl 0.4224654110 0.0013327523
#> 3024 b_cyl 0.4261411511 0.0013514147
#> 3025 b_cyl 0.4298168912 0.0013705363
#> 3026 b_cyl 0.4334926313 0.0013900525
#> 3027 b_cyl 0.4371683714 0.0014097875
#> 3028 b_cyl 0.4408441116 0.0014296524
#> 3029 b_cyl 0.4445198517 0.0014495593
#> 3030 b_cyl 0.4481955918 0.0014694217
#> 3031 b_cyl 0.4518713319 0.0014891551
#> 3032 b_cyl 0.4555470720 0.0015086259
#> 3033 b_cyl 0.4592228121 0.0015277463
#> 3034 b_cyl 0.4628985522 0.0015464588
#> 3035 b_cyl 0.4665742923 0.0015646940
#> 3036 b_cyl 0.4702500324 0.0015823858
#> 3037 b_cyl 0.4739257725 0.0015994719
#> 3038 b_cyl 0.4776015126 0.0016158536
#> 3039 b_cyl 0.4812772527 0.0016313734
#> 3040 b_cyl 0.4849529928 0.0016460985
#> 3041 b_cyl 0.4886287329 0.0016599859
#> 3042 b_cyl 0.4923044730 0.0016729960
#> 3043 b_cyl 0.4959802131 0.0016850923
#> 3044 b_cyl 0.4996559532 0.0016962416
#> 3045 b_cyl 0.5033316933 0.0017062326
#> 3046 b_cyl 0.5070074334 0.0017151591
#> 3047 b_cyl 0.5106831735 0.0017230445
#> 3048 b_cyl 0.5143589136 0.0017298680
#> 3049 b_cyl 0.5180346537 0.0017356104
#> 3050 b_cyl 0.5217103938 0.0017402540
#> 3051 b_cyl 0.5253861339 0.0017436950
#> 3052 b_cyl 0.5290618740 0.0017458322
#> 3053 b_cyl 0.5327376141 0.0017468170
#> 3054 b_cyl 0.5364133542 0.0017466365
#> 3055 b_cyl 0.5400890943 0.0017452782
#> 3056 b_cyl 0.5437648344 0.0017427298
#> 3057 b_cyl 0.5474405745 0.0017389798
#> 3058 b_cyl 0.5511163146 0.0017337703
#> 3059 b_cyl 0.5547920547 0.0017273022
#> 3060 b_cyl 0.5584677948 0.0017195953
#> 3061 b_cyl 0.5621435349 0.0017106409
#> 3062 b_cyl 0.5658192750 0.0017004313
#> 3063 b_cyl 0.5694950151 0.0016889597
#> 3064 b_cyl 0.5731707552 0.0016760940
#> 3065 b_cyl 0.5768464953 0.0016617976
#> 3066 b_cyl 0.5805222354 0.0016462291
#> 3067 b_cyl 0.5841979755 0.0016293911
#> 3068 b_cyl 0.5878737156 0.0016112882
#> 3069 b_cyl 0.5915494557 0.0015919282
#> 3070 b_cyl 0.5952251958 0.0015713214
#> 3071 b_cyl 0.5989009359 0.0015492126
#> 3072 b_cyl 0.6025766760 0.0015258995
# }