#same as data processing in (1)
#original data processing
head(dataTrainAll)
#step1: transfer to dataframe
DataTrainingSet = as.data.frame(dataTrainAll)
#step 2: select features
DataTrainingSet = DataTrainingSet[c('Region', 'City', 'AdX', 'Domain', 'Key_Page', 'Ad_Vis', 'Ad_Form', 'Ad_Width', 'Ad_Height', 'Floor_Price', 'Click')]
#step 3: transfer categorical data to dummy variables
DataTrainingSet = dummy_cols(DataTrainingSet, c('Region', 'City', 'AdX', 'Domain', 'Key_Page', 'Ad_Vis', 'Ad_Form'), remove_first_dummy = TRUE) #k - 1 dummies
#delete original categorical data
delete = c('Region', 'City', 'AdX', 'Domain', 'Key_Page', 'Ad_Vis', 'Ad_Form')
DataTrainingSet <- DataTrainingSet[,!(names(DataTrainingSet) %in% delete)]
head(DataTrainingSet)
#step 4: standardize numerical data: transfer to z-score [(xi-x.bar)/sd]
process = scale(DataTrainingSet[, c("Ad_Width", "Ad_Height", "Floor_Price")])
head(process)
## Ad_Width Ad_Height Floor_Price
## [1,] 0.9635290 0.3312922 -0.3132385
## [2,] 1.9635194 0.3312922 0.2422080
## [3,] -0.9776289 0.3312922 1.0753778
## [4,] -0.9776289 -1.0242751 -0.5909618
## [5,] -0.6099853 0.3312922 -0.5909618
## [6,] -0.6099853 -1.0242751 -0.3132385
#delete & bind data
Click = as.factor(ifelse(DataTrainingSet$Click > 0, 1, 0))
dt1 = cbind(Click, DataTrainingSet)
dt2 = cbind(process, dt1)
dt3 = dt2[ , -(5:8)]
#final dataset
head(dt3)
#Q1
#part a
#determine x and y
set.seed(1)
x = model.matrix(Click~.,data=dt3)[, -1]
y = dt3$Click
#ridge
#step 1: use glmnet to fit the model
fit.ridge = glmnet(x, y, alpha = 0, family = "binomial", standardize = FALSE)
dim(coef(fit.ridge)) #number of coefficients
## [1] 22 100
#step2: viz lambda and features
plot(fit.ridge,xvar="lambda",label=TRUE)
#step 3: use CV to choose best lambda
cv.ridge=cv.glmnet(x,y,alpha=0, family = "binomial", standardize = FALSE)
plot(cv.ridge)
names(cv.ridge)
## [1] "lambda" "cvm" "cvsd" "cvup" "cvlo"
## [6] "nzero" "call" "name" "glmnet.fit" "lambda.min"
## [11] "lambda.1se" "index"
bestlam.ridge1 = cv.ridge$lambda.min #best lambda
#use the best lambda to choose the best model
ridge1 = glmnet(x, y, alpha = 0, family = "binomial", lambda = bestlam.ridge1, standardize = FALSE)
predict(fit.ridge, type = "coefficients", s = bestlam.ridge1)[1:22, ]
## (Intercept)
## -5.192941238
## Ad_Width
## 1.636955217
## Ad_Height
## 1.059299557
## Floor_Price
## 0.011824099
## Region_3
## 0.035308400
## Region_6
## 0.050428110
## City_2
## 0.056812633
## City_3
## -0.017563126
## City_4
## 0.056303390
## City_5
## -0.003430918
## City_6
## 0.050424244
## AdX_2
## 0.024351035
## AdX_3
## -0.015595304
## Domain_5KFUl5p0Gxsvgmd4wspENpn
## -0.013326583
## Domain_trqRTu5Jg9q9wMKYvmpENpn
## 0.049349206
## Domain_trqRTudNXqN8ggc4JKTI
## 0.158572549
## `Domain_trqRTuT-GNTYJNKbuKz`
## -0.174940433
## Key_Page_9f4e2f16b6873a7eb504df6f61b24044
## -0.126742892
## Key_Page_df6f61b2409f4e2f16b6873a7eb50444
## 0.118715092
## Ad_Vis_1
## 0.057802276
## Ad_Vis_2
## 0.029306298
## Ad_Form_1
## -0.047220168
#lasso
fit.lasso = glmnet(x, y, alpha = 1, family = "binomial", standardize = FALSE)
dim(coef(fit.lasso))
## [1] 22 86
plot(fit.lasso,xvar="lambda",label=TRUE)
cv.ridge=cv.glmnet(x,y,alpha=1, family = "binomial", standardize = FALSE)
plot(cv.ridge)
bestlam.lasso1 = cv.ridge$lambda.min #best lambda
lasso1 = glmnet(x, y, alpha = 0, family = "binomial", lambda = bestlam.lasso1, standardize = FALSE)
predict(fit.lasso, type = "coefficients", s = bestlam.lasso1)[1:22, ]
## (Intercept)
## -7.809974e+00
## Ad_Width
## 3.138235e+00
## Ad_Height
## 1.735543e+00
## Floor_Price
## 0.000000e+00
## Region_3
## 0.000000e+00
## Region_6
## 2.048151e-02
## City_2
## 0.000000e+00
## City_3
## 0.000000e+00
## City_4
## 0.000000e+00
## City_5
## 0.000000e+00
## City_6
## 5.145374e-15
## AdX_2
## 0.000000e+00
## AdX_3
## 0.000000e+00
## Domain_5KFUl5p0Gxsvgmd4wspENpn
## 0.000000e+00
## Domain_trqRTu5Jg9q9wMKYvmpENpn
## 0.000000e+00
## Domain_trqRTudNXqN8ggc4JKTI
## 2.012396e-01
## `Domain_trqRTuT-GNTYJNKbuKz`
## -8.045081e-01
## Key_Page_9f4e2f16b6873a7eb504df6f61b24044
## -2.519105e-01
## Key_Page_df6f61b2409f4e2f16b6873a7eb50444
## 1.397162e-01
## Ad_Vis_1
## 0.000000e+00
## Ad_Vis_2
## 0.000000e+00
## Ad_Form_1
## -2.249660e-03
#part b
#due to the lasso and ridge regression, the feature Ad_Width is more important than others, because it has the largest coefficient in every model with every different lambda in both lasso and ridge regression.
#part c
#ridge
cv.ridge.5 = cv.glmnet(x, y, alpha = 0, family = "binomial", standardize = FALSE, nfolds = 5)
plot(cv.ridge.5)
bestlam.ridge2 = cv.ridge.5$lambda.min #best lambda
ridge2 = glmnet(x, y, alpha = 0, family = "binomial", lambda = bestlam.ridge2, standardize = FALSE)
predict(fit.ridge, type = "coefficients", s = bestlam.ridge2)[1:22, ]
## (Intercept)
## -5.192941238
## Ad_Width
## 1.636955217
## Ad_Height
## 1.059299557
## Floor_Price
## 0.011824099
## Region_3
## 0.035308400
## Region_6
## 0.050428110
## City_2
## 0.056812633
## City_3
## -0.017563126
## City_4
## 0.056303390
## City_5
## -0.003430918
## City_6
## 0.050424244
## AdX_2
## 0.024351035
## AdX_3
## -0.015595304
## Domain_5KFUl5p0Gxsvgmd4wspENpn
## -0.013326583
## Domain_trqRTu5Jg9q9wMKYvmpENpn
## 0.049349206
## Domain_trqRTudNXqN8ggc4JKTI
## 0.158572549
## `Domain_trqRTuT-GNTYJNKbuKz`
## -0.174940433
## Key_Page_9f4e2f16b6873a7eb504df6f61b24044
## -0.126742892
## Key_Page_df6f61b2409f4e2f16b6873a7eb50444
## 0.118715092
## Ad_Vis_1
## 0.057802276
## Ad_Vis_2
## 0.029306298
## Ad_Form_1
## -0.047220168
#lasso
cv.lasso.5 = cv.glmnet(x, y, alpha = 1, family = "binomial", standardize = FALSE, nfolds = 5)
plot(cv.lasso.5)
bestlam.lasso2 = cv.lasso.5$lambda.min #best lambda
lasso2 = glmnet(x, y, alpha = 0, family = "binomial", lambda = bestlam.lasso2, standardize = FALSE)
predict(fit.lasso, type = "coefficients", s = bestlam.lasso2)[1:22, ]
## (Intercept)
## -7.766020e+00
## Ad_Width
## 3.117513e+00
## Ad_Height
## 1.725562e+00
## Floor_Price
## 0.000000e+00
## Region_3
## 0.000000e+00
## Region_6
## 1.177033e-02
## City_2
## 0.000000e+00
## City_3
## 0.000000e+00
## City_4
## 0.000000e+00
## City_5
## 0.000000e+00
## City_6
## 7.701930e-15
## AdX_2
## 0.000000e+00
## AdX_3
## 0.000000e+00
## Domain_5KFUl5p0Gxsvgmd4wspENpn
## 0.000000e+00
## Domain_trqRTu5Jg9q9wMKYvmpENpn
## 0.000000e+00
## Domain_trqRTudNXqN8ggc4JKTI
## 1.954557e-01
## `Domain_trqRTuT-GNTYJNKbuKz`
## -7.462962e-01
## Key_Page_9f4e2f16b6873a7eb504df6f61b24044
## -2.429611e-01
## Key_Page_df6f61b2409f4e2f16b6873a7eb50444
## 1.339542e-01
## Ad_Vis_1
## 0.000000e+00
## Ad_Vis_2
## 0.000000e+00
## Ad_Form_1
## 0.000000e+00
#larger degree of freedom will be overfitting
#part d
#step 1: transfer to dataframe
dataTest = data.frame(dataTest)
#step 2: select features
dataTest = dataTest[c('Region', 'City', 'AdX', 'Domain', 'Key_Page', 'Ad_Vis', 'Ad_Form', 'Ad_Width', 'Ad_Height', 'Floor_Price')]
#step 3: transfer categorical data to dummy variables
dataTest = dummy_cols(dataTest, c('Region', 'City', 'AdX', 'Domain', 'Key_Page', 'Ad_Vis', 'Ad_Form'), remove_first_dummy = TRUE) #k - 1 dummies
#delete original categorical data
delete = c('Region', 'City', 'AdX', 'Domain', 'Key_Page', 'Ad_Vis', 'Ad_Form')
dataTest = dataTest[,!(names(dataTest) %in% delete)]
head(dataTest)
#step 4: standardize numerical data: transfer to z-score [(xi-x.bar)/sd]
process.test = scale(dataTest[, c("Ad_Width", "Ad_Height", "Floor_Price")])
head(process.test)
## Ad_Width Ad_Height Floor_Price
## [1,] 0.9850930 -1.0200269 0.31708644
## [2,] -0.6028415 -1.0200269 -0.02784768
## [3,] -0.6028415 0.3723350 -0.31529278
## [4,] -0.7883479 0.3723350 2.27171311
## [5,] -0.7883479 0.3723350 -0.60273788
## [6,] -0.6028415 0.6334028 -0.02784768
#delete & bind data
dt.bind1 = cbind(process.test, dataTest)
head(dt.bind1)
testing.data = dt.bind1[ , -(4:6)]
#final dataset
head(testing.data)
testing.data = as.matrix(testing.data)
TrueClicks = ifelse(dataTestRes$Click > 0, 1, 0)
#ridge
test.ridge = glmnet(x, y, lambda = bestlam.ridge2, family = "binomial", alpha = 0, standardize = FALSE)
test.ridge.pred = predict(test.ridge, testing.data, type = "response", s = bestlam.ridge2)
test.ridge.result = ifelse(test.ridge.pred > 0.5, 1, 0)
table(test.ridge.result, TrueClicks)
## TrueClicks
## test.ridge.result 0 1
## 0 9658 238
## 1 20 84
(20+238)/(9658+238+20+84)
## [1] 0.0258
test.lasso = glmnet(x, y, lambda = bestlam.lasso2, family = "binomial", alpha = 1, standardize = FALSE)
test.lasso.pred = predict(test.lasso, testing.data, type = "response", s = bestlam.lasso2)
test.lasso.result = ifelse(test.lasso.pred > 0.5, 1, 0)
table(test.lasso.result, TrueClicks)
## TrueClicks
## test.lasso.result 0 1
## 0 9655 235
## 1 23 87
(23+235)/(9655+87)
## [1] 0.02648327
#Q2
trainingset = scale(dataTrainAll[, c("AdX", "iPinYou_Bid", "Comp_Bid")])
head(trainingset)
## AdX iPinYou_Bid Comp_Bid
## 1 0.0480746 -1.0502765 -1.0245268
## 2 1.3198895 -0.9118871 -0.8622491
## 3 1.3198895 -0.7043028 -0.2942775
## 4 0.0480746 -0.6351081 -0.4565551
## 5 -1.2237403 2.7554343 3.3569689
## 6 0.0480746 -0.8426923 -1.0245268
#part a
#construct linear model
trainingset = as.data.frame(trainingset)
lm1 = lm(Comp_Bid~AdX+iPinYou_Bid, data = trainingset)
summary(lm1)
##
## Call:
## lm(formula = Comp_Bid ~ AdX + iPinYou_Bid, data = trainingset)
##
## Residuals:
## Min 1Q Median 3Q Max
## -2.79794 -0.15590 0.04985 0.28925 2.26254
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 1.819e-15 5.285e-03 0.00 1
## AdX -1.664e-01 5.705e-03 -29.18 <2e-16 ***
## iPinYou_Bid 7.722e-01 5.705e-03 135.35 <2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.5285 on 9997 degrees of freedom
## Multiple R-squared: 0.7208, Adjusted R-squared: 0.7207
## F-statistic: 1.29e+04 on 2 and 9997 DF, p-value: < 2.2e-16
#part b
x = model.matrix(Comp_Bid~.,data=trainingset)[, -1]
y = trainingset$Comp_Bid
glmnet.linear = glmnet(x, y, alpha = 1, family = "gaussian")
cv.lasso=cv.glmnet(x,y)
plot(glmnet.linear, label = T, main = "Lasso Coefficients")
plot(glmnet.linear, xvar = "lambda", label = T, main = "Lasso Coefficients")
#plot(glmnet.linear, xvar = "lambda", label = T, main = "Lasso Coefficients")
plot(cv.lasso)
coef(cv.lasso)
## 3 x 1 sparse Matrix of class "dgCMatrix"
## s1
## (Intercept) -1.387050e-16
## AdX -1.216129e-01
## iPinYou_Bid 7.273573e-01
names(cv.lasso)
## [1] "lambda" "cvm" "cvsd" "cvup" "cvlo"
## [6] "nzero" "call" "name" "glmnet.fit" "lambda.min"
## [11] "lambda.1se" "index"
bestlam = cv.lasso$lambda.min #best lambda
predict(glmnet.linear, type = "coefficients", s = bestlam)
## 3 x 1 sparse Matrix of class "dgCMatrix"
## s1
## (Intercept) -1.236700e-16
## AdX -1.631296e-01
## iPinYou_Bid 7.688660e-01
#part c
mle_coef = coef(lm1)
half_norm = 0.5 * mle_coef
lasso_coef = coef(glmnet.linear, s = half_norm) #s: lambda
beta1 = seq(-.5,1,length.out=100)
beta2 = seq(-.5,1,length.out=100)
mse = function(beta1, beta2){
y_pred = x %*% c(beta1, beta2)
mean((y - y_pred)^2)
}
mse_grid = matrix(0, nrow = length(beta1), ncol = length(beta2))
for (i in seq_along(beta1)){
for (j in seq_along(beta2)) {
mse_grid[i, j] = mse(beta1[i], beta2[j])
}
}
mse_grid
## [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8]
## [1,] 1.689208 1.654696 1.620644 1.587050 1.553915 1.521240 1.489023 1.457266
## [2,] 1.693846 1.659161 1.624935 1.591169 1.557861 1.525013 1.492624 1.460693
## [3,] 1.698942 1.664084 1.629686 1.595747 1.562266 1.529245 1.496683 1.464580
## [4,] 1.704498 1.669467 1.634896 1.600784 1.567130 1.533936 1.501201 1.468925
## [5,] 1.710512 1.675309 1.640565 1.606280 1.572454 1.539087 1.506179 1.473730
## [6,] 1.716986 1.681610 1.646693 1.612235 1.578236 1.544696 1.511615 1.478994
## [7,] 1.723919 1.688370 1.653280 1.618649 1.584477 1.550765 1.517511 1.484716
## [8,] 1.731311 1.695589 1.660326 1.625522 1.591178 1.557292 1.523866 1.490898
## [9,] 1.739162 1.703267 1.667831 1.632855 1.598337 1.564279 1.530680 1.497539
## [10,] 1.747472 1.711404 1.675796 1.640646 1.605956 1.571725 1.537952 1.504639
## [11,] 1.756241 1.720001 1.684219 1.648897 1.614034 1.579630 1.545685 1.512199
## [12,] 1.765470 1.729056 1.693102 1.657607 1.622571 1.587994 1.553876 1.520217
## [13,] 1.775157 1.738571 1.702444 1.666775 1.631567 1.596817 1.562526 1.528694
## [14,] 1.785303 1.748544 1.712244 1.676403 1.641022 1.606099 1.571635 1.537631
## [15,] 1.795909 1.758977 1.722504 1.686490 1.650936 1.615840 1.581204 1.547026
## [16,] 1.806974 1.769869 1.733223 1.697036 1.661309 1.626040 1.591231 1.556881
## [17,] 1.818498 1.781220 1.744401 1.708042 1.672141 1.636700 1.601718 1.567194
## [18,] 1.830480 1.793030 1.756038 1.719506 1.683433 1.647818 1.612663 1.577967
## [19,] 1.842922 1.805299 1.768135 1.731429 1.695183 1.659396 1.624068 1.589199
## [20,] 1.855823 1.818027 1.780690 1.743812 1.707393 1.671433 1.635932 1.600890
## [21,] 1.869183 1.831214 1.793704 1.756653 1.720061 1.683928 1.648255 1.613040
## [22,] 1.883003 1.844861 1.807178 1.769954 1.733189 1.696883 1.661037 1.625649
## [23,] 1.897281 1.858966 1.821110 1.783714 1.746776 1.710297 1.674278 1.638718
## [24,] 1.912018 1.873531 1.835502 1.797932 1.760822 1.724170 1.687978 1.652245
## [25,] 1.927215 1.888554 1.850353 1.812610 1.775327 1.738503 1.702137 1.666231
## [26,] 1.942870 1.904037 1.865663 1.827747 1.790291 1.753294 1.716756 1.680677
## [27,] 1.958985 1.919979 1.881432 1.843343 1.805714 1.768544 1.731833 1.695581
## [28,] 1.975559 1.936380 1.897660 1.859398 1.821597 1.784254 1.747370 1.710945
## [29,] 1.992592 1.953240 1.914347 1.875913 1.837938 1.800422 1.763366 1.726768
## [30,] 2.010084 1.970559 1.931493 1.892886 1.854738 1.817050 1.779820 1.743050
## [31,] 2.028035 1.988337 1.949098 1.910319 1.871998 1.834136 1.796734 1.759791
## [32,] 2.046445 2.006574 1.967163 1.928210 1.889717 1.851682 1.814107 1.776991
## [33,] 2.065314 2.025271 1.985686 1.946561 1.907894 1.869687 1.831939 1.794650
## [34,] 2.084642 2.044426 2.004669 1.965370 1.926531 1.888151 1.850230 1.812768
## [35,] 2.104430 2.064041 2.024110 1.984639 1.945627 1.907074 1.868980 1.831346
## [36,] 2.124676 2.084114 2.044011 2.004367 1.965182 1.926456 1.888190 1.850382
## [37,] 2.145382 2.104647 2.064371 2.024554 1.985196 1.946298 1.907858 1.869878
## [38,] 2.166547 2.125639 2.085190 2.045200 2.005670 1.966598 1.927986 1.889832
## [39,] 2.188170 2.147090 2.106468 2.066305 2.026602 1.987357 1.948572 1.910246
## [40,] 2.210253 2.169000 2.128205 2.087870 2.047993 2.008576 1.969618 1.931119
## [41,] 2.232795 2.191369 2.150401 2.109893 2.069844 2.030254 1.991123 1.952451
## [42,] 2.255796 2.214197 2.173057 2.132375 2.092153 2.052390 2.013086 1.974242
## [43,] 2.279256 2.237484 2.196171 2.155317 2.114922 2.074986 2.035509 1.996492
## [44,] 2.303176 2.261230 2.219744 2.178718 2.138150 2.098041 2.058391 2.019201
## [45,] 2.327554 2.285436 2.243777 2.202577 2.161837 2.121555 2.081732 2.042369
## [46,] 2.352391 2.310100 2.268269 2.226896 2.185983 2.145528 2.105533 2.065996
## [47,] 2.377688 2.335224 2.293219 2.251674 2.210588 2.169960 2.129792 2.090083
## [48,] 2.403443 2.360807 2.318629 2.276911 2.235652 2.194851 2.154510 2.114628
## [49,] 2.429658 2.386849 2.344498 2.302607 2.261175 2.220202 2.179688 2.139633
## [50,] 2.456332 2.413350 2.370826 2.328762 2.287157 2.246011 2.205324 2.165097
## [51,] 2.483465 2.440309 2.397613 2.355376 2.313599 2.272280 2.231420 2.191019
## [52,] 2.511057 2.467729 2.424860 2.382450 2.340499 2.299007 2.257975 2.217401
## [53,] 2.539108 2.495607 2.452565 2.409982 2.367859 2.326194 2.284989 2.244242
## [54,] 2.567618 2.523944 2.480729 2.437974 2.395677 2.353840 2.312462 2.271542
## [55,] 2.596587 2.552740 2.509353 2.466424 2.423955 2.381945 2.340394 2.299302
## [56,] 2.626015 2.581996 2.538435 2.495334 2.452692 2.410509 2.368785 2.327520
## [57,] 2.655903 2.611710 2.567977 2.524703 2.481888 2.439532 2.397635 2.356197
## [58,] 2.686249 2.641884 2.597978 2.554531 2.511543 2.469014 2.426944 2.385334
## [59,] 2.717055 2.672517 2.628438 2.584818 2.541657 2.498955 2.456713 2.414929
## [60,] 2.748319 2.703609 2.659357 2.615564 2.572230 2.529356 2.486940 2.444984
## [61,] 2.780043 2.735159 2.690735 2.646769 2.603263 2.560215 2.517627 2.475497
## [62,] 2.812226 2.767169 2.722572 2.678433 2.634754 2.591534 2.548772 2.506470
## [63,] 2.844868 2.799638 2.754868 2.710557 2.666704 2.623311 2.580377 2.537902
## [64,] 2.877969 2.832567 2.787623 2.743139 2.699114 2.655548 2.612441 2.569793
## [65,] 2.911529 2.865954 2.820838 2.776181 2.731983 2.688244 2.644964 2.602143
## [66,] 2.945548 2.899800 2.854511 2.809681 2.765310 2.721399 2.677946 2.634952
## [67,] 2.980027 2.934106 2.888644 2.843641 2.799097 2.755013 2.711387 2.668221
## [68,] 3.014964 2.968870 2.923235 2.878060 2.833343 2.789086 2.745287 2.701948
## [69,] 3.050361 3.004094 2.958286 2.912938 2.868048 2.823618 2.779647 2.736134
## [70,] 3.086216 3.039777 2.993796 2.948275 2.903212 2.858609 2.814465 2.770780
## [71,] 3.122531 3.075918 3.029765 2.984071 2.938836 2.894059 2.849742 2.805884
## [72,] 3.159305 3.112519 3.066193 3.020326 2.974918 2.929969 2.885479 2.841448
## [73,] 3.196538 3.149579 3.103080 3.057040 3.011459 2.966337 2.921675 2.877471
## [74,] 3.234229 3.187098 3.140426 3.094214 3.048460 3.003165 2.958329 2.913953
## [75,] 3.272381 3.225077 3.178232 3.131846 3.085919 3.040452 2.995443 2.950894
## [76,] 3.310991 3.263514 3.216496 3.169937 3.123838 3.078198 3.033016 2.988294
## [77,] 3.350060 3.302410 3.255220 3.208488 3.162216 3.116402 3.071048 3.026153
## [78,] 3.389588 3.341766 3.294402 3.247498 3.201053 3.155066 3.109539 3.064471
## [79,] 3.429576 3.381580 3.334044 3.286967 3.240348 3.194189 3.148490 3.103249
## [80,] 3.470022 3.421854 3.374145 3.326895 3.280104 3.233772 3.187899 3.142485
## [81,] 3.510928 3.462587 3.414704 3.367282 3.320318 3.273813 3.227767 3.182181
## [82,] 3.552292 3.503778 3.455723 3.408128 3.360991 3.314313 3.268095 3.222335
## [83,] 3.594116 3.545429 3.497201 3.449433 3.402123 3.355273 3.308881 3.262949
## [84,] 3.636399 3.587539 3.539139 3.491197 3.443715 3.396691 3.350127 3.304022
## [85,] 3.679141 3.630108 3.581535 3.533420 3.485765 3.438569 3.391832 3.345554
## [86,] 3.722342 3.673136 3.624390 3.576103 3.528275 3.480906 3.433996 3.387545
## [87,] 3.766002 3.716624 3.667704 3.619244 3.571243 3.523701 3.476618 3.429995
## [88,] 3.810121 3.760570 3.711478 3.662845 3.614671 3.566956 3.519700 3.472904
## [89,] 3.854700 3.804976 3.755711 3.706905 3.658558 3.610670 3.563242 3.516272
## [90,] 3.899737 3.849840 3.800402 3.751423 3.702904 3.654843 3.607242 3.560099
## [91,] 3.945233 3.895164 3.845553 3.796401 3.747709 3.699475 3.651701 3.604386
## [92,] 3.991189 3.940946 3.891163 3.841838 3.792973 3.744567 3.696619 3.649131
## [93,] 4.037604 3.987188 3.937232 3.887734 3.838696 3.790117 3.741997 3.694336
## [94,] 4.084478 4.033889 3.983760 3.934090 3.884878 3.836126 3.787834 3.740000
## [95,] 4.131810 4.081049 4.030747 3.980904 3.931520 3.882595 3.834129 3.786122
## [96,] 4.179602 4.128668 4.078193 4.028177 3.978620 3.929523 3.880884 3.832704
## [97,] 4.227853 4.176746 4.126098 4.075910 4.026180 3.976909 3.928098 3.879745
## [98,] 4.276563 4.225284 4.174463 4.124101 4.074199 4.024755 3.975771 3.927245
## [99,] 4.325733 4.274280 4.223286 4.172752 4.122676 4.073060 4.023903 3.975205
## [100,] 4.375361 4.323735 4.272569 4.221862 4.171613 4.121824 4.072494 4.023623
## [,9] [,10] [,11] [,12] [,13] [,14] [,15] [,16]
## [1,] 1.425968 1.395129 1.364749 1.334828 1.305366 1.276363 1.247819 1.219735
## [2,] 1.429222 1.398210 1.367657 1.337564 1.307929 1.278753 1.250037 1.221779
## [3,] 1.432936 1.401751 1.371025 1.340759 1.310951 1.281602 1.252713 1.224283
## [4,] 1.437108 1.405751 1.374852 1.344413 1.314432 1.284911 1.255848 1.227245
## [5,] 1.441740 1.410210 1.379138 1.348526 1.318372 1.288678 1.259443 1.230667
## [6,] 1.446831 1.415128 1.383883 1.353098 1.322772 1.292905 1.263497 1.234548
## [7,] 1.452381 1.420505 1.389087 1.358129 1.327630 1.297590 1.268009 1.238888
## [8,] 1.458390 1.426341 1.394751 1.363620 1.332948 1.302735 1.272981 1.243687
## [9,] 1.464858 1.432636 1.400873 1.369569 1.338724 1.308339 1.278412 1.248945
## [10,] 1.471785 1.439390 1.407455 1.375978 1.344960 1.314402 1.284302 1.254662
## [11,] 1.479172 1.446604 1.414495 1.382846 1.351655 1.320924 1.290651 1.260838
## [12,] 1.487017 1.454276 1.421995 1.390172 1.358809 1.327905 1.297459 1.267473
## [13,] 1.495322 1.462408 1.429954 1.397958 1.366422 1.335345 1.304727 1.274568
## [14,] 1.504085 1.470999 1.438371 1.406203 1.374494 1.343244 1.312453 1.282121
## [15,] 1.513308 1.480048 1.447248 1.414907 1.383025 1.351602 1.320639 1.290134
## [16,] 1.522989 1.489557 1.456584 1.424070 1.392016 1.360420 1.329283 1.298606
## [17,] 1.533130 1.499525 1.466379 1.433693 1.401465 1.369696 1.338387 1.307536
## [18,] 1.543730 1.509952 1.476634 1.443774 1.411373 1.379432 1.347949 1.316926
## [19,] 1.554789 1.520839 1.487347 1.454314 1.421741 1.389627 1.357971 1.326775
## [20,] 1.566307 1.532184 1.498519 1.465314 1.432568 1.400280 1.368452 1.337083
## [21,] 1.578285 1.543988 1.510151 1.476772 1.443853 1.411393 1.379392 1.347850
## [22,] 1.590721 1.556252 1.522241 1.488690 1.455598 1.422965 1.390791 1.359077
## [23,] 1.603616 1.568974 1.534791 1.501067 1.467802 1.434996 1.402650 1.370762
## [24,] 1.616971 1.582156 1.547800 1.513903 1.480465 1.447486 1.414967 1.382906
## [25,] 1.630784 1.595796 1.561268 1.527198 1.493587 1.460436 1.427743 1.395510
## [26,] 1.645057 1.609896 1.575194 1.540952 1.507168 1.473844 1.440979 1.408572
## [27,] 1.659789 1.624455 1.589580 1.555165 1.521209 1.487711 1.454673 1.422094
## [28,] 1.674980 1.639473 1.604426 1.569837 1.535708 1.502038 1.468827 1.436075
## [29,] 1.690629 1.654950 1.619730 1.584969 1.550666 1.516823 1.483440 1.450515
## [30,] 1.706738 1.670886 1.635493 1.600559 1.566084 1.532068 1.498511 1.465414
## [31,] 1.723307 1.687281 1.651715 1.616609 1.581961 1.547772 1.514042 1.480772
## [32,] 1.740334 1.704136 1.668397 1.633117 1.598296 1.563935 1.530032 1.496589
## [33,] 1.757820 1.721449 1.685538 1.650085 1.615091 1.580557 1.546481 1.512865
## [34,] 1.775765 1.739222 1.703137 1.667512 1.632345 1.597638 1.563390 1.529600
## [35,] 1.794170 1.757453 1.721196 1.685398 1.650058 1.615178 1.580757 1.546795
## [36,] 1.813034 1.776144 1.739714 1.703742 1.668230 1.633177 1.598583 1.564448
## [37,] 1.832356 1.795294 1.758691 1.722547 1.686861 1.651636 1.616869 1.582561
## [38,] 1.852138 1.814903 1.778127 1.741810 1.705952 1.670553 1.635613 1.601133
## [39,] 1.872379 1.834971 1.798022 1.761532 1.725501 1.689929 1.654817 1.620163
## [40,] 1.893079 1.855498 1.818376 1.781713 1.745510 1.709765 1.674480 1.639653
## [41,] 1.914238 1.876484 1.839189 1.802354 1.765977 1.730060 1.694601 1.659602
## [42,] 1.935856 1.897929 1.860462 1.823453 1.786904 1.750814 1.715182 1.680010
## [43,] 1.957933 1.919834 1.882193 1.845012 1.808290 1.772026 1.736222 1.700877
## [44,] 1.980469 1.942197 1.904384 1.867029 1.830134 1.793698 1.757721 1.722204
## [45,] 2.003465 1.965019 1.927033 1.889506 1.852438 1.815829 1.779680 1.743989
## [46,] 2.026919 1.988301 1.950142 1.912442 1.875201 1.838420 1.802097 1.766233
## [47,] 2.050833 2.012042 1.973710 1.935837 1.898423 1.861469 1.824973 1.788937
## [48,] 2.075205 2.036242 1.997737 1.959691 1.922105 1.884977 1.848309 1.812099
## [49,] 2.100037 2.060900 2.022223 1.984004 1.946245 1.908945 1.872103 1.835721
## [50,] 2.125328 2.086018 2.047168 2.008777 1.970844 1.933371 1.896357 1.859802
## [51,] 2.151078 2.111596 2.072572 2.034008 1.995903 1.958257 1.921070 1.884342
## [52,] 2.177287 2.137632 2.098435 2.059698 2.021420 1.983601 1.946242 1.909341
## [53,] 2.203955 2.164127 2.124758 2.085848 2.047397 2.009405 1.971872 1.934799
## [54,] 2.231082 2.191081 2.151539 2.112456 2.073833 2.035668 1.997962 1.960716
## [55,] 2.258669 2.218495 2.178780 2.139524 2.100728 2.062390 2.024512 1.987092
## [56,] 2.286714 2.246367 2.206480 2.167051 2.128081 2.089571 2.051520 2.013928
## [57,] 2.315218 2.274699 2.234638 2.195037 2.155894 2.117211 2.078987 2.041222
## [58,] 2.344182 2.303489 2.263256 2.223482 2.184167 2.145310 2.106913 2.068975
## [59,] 2.373605 2.332739 2.292333 2.252386 2.212898 2.173869 2.135299 2.097188
## [60,] 2.403486 2.362448 2.321869 2.281749 2.242088 2.202886 2.164143 2.125860
## [61,] 2.433827 2.392616 2.351864 2.311571 2.271737 2.232363 2.193447 2.154991
## [62,] 2.464627 2.423243 2.382318 2.341853 2.301846 2.262298 2.223210 2.184580
## [63,] 2.495886 2.454329 2.413232 2.372593 2.332413 2.292693 2.253432 2.214629
## [64,] 2.527604 2.485875 2.444604 2.403793 2.363440 2.323547 2.284113 2.245137
## [65,] 2.559781 2.517879 2.476435 2.435451 2.394926 2.354860 2.315253 2.276105
## [66,] 2.592418 2.550342 2.508726 2.467569 2.426871 2.386632 2.346852 2.307531
## [67,] 2.625513 2.583265 2.541476 2.500146 2.459275 2.418863 2.378910 2.339416
## [68,] 2.659068 2.616646 2.574684 2.533181 2.492138 2.451553 2.411427 2.371760
## [69,] 2.693081 2.650487 2.608352 2.566676 2.525460 2.484702 2.444403 2.404564
## [70,] 2.727554 2.684787 2.642479 2.600630 2.559241 2.518310 2.477839 2.437827
## [71,] 2.762486 2.719546 2.677065 2.635044 2.593481 2.552378 2.511733 2.471548
## [72,] 2.797876 2.754764 2.712110 2.669916 2.628181 2.586904 2.546087 2.505729
## [73,] 2.833726 2.790441 2.747615 2.705247 2.663339 2.621890 2.580900 2.540369
## [74,] 2.870035 2.826577 2.783578 2.741038 2.698957 2.657335 2.616172 2.575468
## [75,] 2.906804 2.863172 2.820000 2.777287 2.735033 2.693238 2.651903 2.611026
## [76,] 2.944031 2.900227 2.856882 2.813996 2.771569 2.729601 2.688093 2.647043
## [77,] 2.981717 2.937740 2.894222 2.851163 2.808564 2.766423 2.724742 2.683519
## [78,] 3.019862 2.975713 2.932022 2.888790 2.846018 2.803704 2.761850 2.720455
## [79,] 3.058467 3.014144 2.970281 2.926876 2.883931 2.841444 2.799417 2.757849
## [80,] 3.097530 3.053035 3.008998 2.965421 2.922303 2.879644 2.837444 2.795703
## [81,] 3.137053 3.092385 3.048175 3.004425 2.961134 2.918302 2.875929 2.834015
## [82,] 3.177035 3.132194 3.087811 3.043888 3.000424 2.957419 2.914874 2.872787
## [83,] 3.217476 3.172462 3.127907 3.083811 3.040174 2.996996 2.954277 2.912018
## [84,] 3.258376 3.213189 3.168461 3.124192 3.080382 3.037031 2.994140 2.951707
## [85,] 3.299735 3.254375 3.209474 3.165032 3.121050 3.077526 3.034462 2.991856
## [86,] 3.341553 3.296020 3.250946 3.206332 3.162176 3.118480 3.075243 3.032464
## [87,] 3.383830 3.338124 3.292878 3.248090 3.203762 3.159893 3.116483 3.073532
## [88,] 3.426566 3.380688 3.335268 3.290308 3.245807 3.201765 3.158182 3.115058
## [89,] 3.469762 3.423710 3.378118 3.332985 3.288311 3.244096 3.200340 3.157043
## [90,] 3.513416 3.467192 3.421427 3.376121 3.331274 3.286886 3.242957 3.199488
## [91,] 3.557530 3.511133 3.465195 3.419716 3.374696 3.330135 3.286034 3.242391
## [92,] 3.602102 3.555532 3.509422 3.463770 3.418577 3.373844 3.329569 3.285754
## [93,] 3.647134 3.600391 3.554108 3.508283 3.462917 3.418011 3.373564 3.329575
## [94,] 3.692625 3.645709 3.599253 3.553255 3.507717 3.462638 3.418017 3.373856
## [95,] 3.738575 3.691486 3.644857 3.598687 3.552975 3.507723 3.462930 3.418596
## [96,] 3.784984 3.737722 3.690920 3.644577 3.598693 3.553268 3.508302 3.463795
## [97,] 3.831852 3.784418 3.737443 3.690926 3.644869 3.599272 3.554133 3.509453
## [98,] 3.879179 3.831572 3.784424 3.737735 3.691505 3.645734 3.600423 3.555570
## [99,] 3.926965 3.879185 3.831865 3.785003 3.738600 3.692656 3.647172 3.602146
## [100,] 3.975211 3.927258 3.879764 3.832730 3.786154 3.740037 3.694380 3.649182
## [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24]
## [1,] 1.192109 1.164943 1.138236 1.111987 1.086198 1.060868 1.035997 1.011585
## [2,] 1.193981 1.166642 1.139761 1.113340 1.087378 1.061875 1.036832 1.012247
## [3,] 1.196311 1.168799 1.141746 1.115152 1.089017 1.063342 1.038125 1.013367
## [4,] 1.199101 1.171416 1.144190 1.117423 1.091116 1.065267 1.039878 1.014947
## [5,] 1.202350 1.174492 1.147093 1.120154 1.093673 1.067652 1.042089 1.016986
## [6,] 1.206058 1.178027 1.150456 1.123343 1.096690 1.070495 1.044760 1.019484
## [7,] 1.210225 1.182021 1.154277 1.126991 1.100165 1.073798 1.047890 1.022441
## [8,] 1.214851 1.186475 1.158557 1.131099 1.104100 1.077560 1.051479 1.025857
## [9,] 1.219936 1.191387 1.163297 1.135665 1.108493 1.081780 1.055527 1.029732
## [10,] 1.225480 1.196758 1.168495 1.140691 1.113346 1.086460 1.060034 1.034066
## [11,] 1.231484 1.202589 1.174153 1.146176 1.118658 1.091599 1.065000 1.038859
## [12,] 1.237946 1.208878 1.180270 1.152120 1.124429 1.097198 1.070425 1.044112
## [13,] 1.244868 1.215627 1.186845 1.158523 1.130659 1.103255 1.076309 1.049823
## [14,] 1.252248 1.222835 1.193880 1.165385 1.137348 1.109771 1.082653 1.055994
## [15,] 1.260088 1.230502 1.201374 1.172706 1.144497 1.116746 1.089455 1.062623
## [16,] 1.268387 1.238628 1.209327 1.180486 1.152104 1.124181 1.096717 1.069712
## [17,] 1.277145 1.247213 1.217740 1.188725 1.160170 1.132075 1.104438 1.077260
## [18,] 1.286362 1.256257 1.226611 1.197424 1.168696 1.140427 1.112618 1.085267
## [19,] 1.296038 1.265760 1.235941 1.206581 1.177681 1.149239 1.121256 1.093733
## [20,] 1.306173 1.275722 1.245731 1.216198 1.187124 1.158510 1.130354 1.102658
## [21,] 1.316767 1.286144 1.255979 1.226274 1.197027 1.168240 1.139912 1.112042
## [22,] 1.327821 1.297024 1.266687 1.236808 1.207389 1.178429 1.149928 1.121886
## [23,] 1.339333 1.308364 1.277853 1.247802 1.218210 1.189077 1.160403 1.132188
## [24,] 1.351305 1.320163 1.289479 1.259255 1.229490 1.200184 1.171337 1.142950
## [25,] 1.363736 1.332420 1.301564 1.271167 1.241229 1.211750 1.182731 1.154170
## [26,] 1.376625 1.345137 1.314108 1.283538 1.253428 1.223776 1.194583 1.165850
## [27,] 1.389974 1.358313 1.327111 1.296369 1.266085 1.236260 1.206895 1.177989
## [28,] 1.403782 1.371948 1.340573 1.309658 1.279201 1.249204 1.219666 1.190586
## [29,] 1.418049 1.386042 1.354495 1.323406 1.292777 1.262607 1.232895 1.203643
## [30,] 1.432775 1.400596 1.368875 1.337614 1.306812 1.276468 1.246584 1.217159
## [31,] 1.447960 1.415608 1.383715 1.352280 1.321305 1.290789 1.260732 1.231134
## [32,] 1.463605 1.431079 1.399013 1.367406 1.336258 1.305569 1.275339 1.245569
## [33,] 1.479708 1.447010 1.414771 1.382991 1.351670 1.320808 1.290406 1.260462
## [34,] 1.496270 1.463399 1.430987 1.399035 1.367541 1.336506 1.305931 1.275814
## [35,] 1.513292 1.480248 1.447663 1.415538 1.383871 1.352664 1.321915 1.291626
## [36,] 1.530773 1.497556 1.464798 1.432500 1.400660 1.369280 1.338359 1.307896
## [37,] 1.548712 1.515323 1.482392 1.449921 1.417908 1.386355 1.355261 1.324626
## [38,] 1.567111 1.533549 1.500445 1.467801 1.435616 1.403890 1.372623 1.341815
## [39,] 1.585969 1.552234 1.518957 1.486140 1.453782 1.421883 1.390443 1.359463
## [40,] 1.605286 1.571378 1.537929 1.504939 1.472408 1.440336 1.408723 1.377570
## [41,] 1.625062 1.590981 1.557359 1.524196 1.491492 1.459248 1.427462 1.396136
## [42,] 1.645297 1.611043 1.577249 1.543913 1.511036 1.478619 1.446660 1.415161
## [43,] 1.665992 1.631565 1.597597 1.564088 1.531039 1.498449 1.466317 1.434645
## [44,] 1.687145 1.652545 1.618405 1.584723 1.551501 1.518738 1.486433 1.454588
## [45,] 1.708757 1.673985 1.639671 1.605817 1.572422 1.539486 1.507009 1.474991
## [46,] 1.730829 1.695884 1.661397 1.627370 1.593802 1.560693 1.528043 1.495852
## [47,] 1.753360 1.718241 1.683582 1.649382 1.615641 1.582359 1.549536 1.517173
## [48,] 1.776349 1.741058 1.706226 1.671853 1.637939 1.604485 1.571489 1.538952
## [49,] 1.799798 1.764334 1.729329 1.694783 1.660697 1.627069 1.593901 1.561191
## [50,] 1.823706 1.788069 1.752891 1.718173 1.683913 1.650113 1.616771 1.583889
## [51,] 1.848073 1.812263 1.776913 1.742021 1.707589 1.673615 1.640101 1.607046
## [52,] 1.872899 1.836917 1.801393 1.766329 1.731723 1.697577 1.663890 1.630662
## [53,] 1.898184 1.862029 1.826333 1.791095 1.756317 1.721998 1.688138 1.654737
## [54,] 1.923929 1.887600 1.851731 1.816321 1.781370 1.746878 1.712845 1.679271
## [55,] 1.950132 1.913631 1.877589 1.842006 1.806882 1.772217 1.738011 1.704265
## [56,] 1.976794 1.940120 1.903905 1.868150 1.832853 1.798015 1.763637 1.729717
## [57,] 2.003916 1.967069 1.930681 1.894753 1.859283 1.824272 1.789721 1.755629
## [58,] 2.031497 1.994477 1.957916 1.921815 1.886172 1.850989 1.816264 1.781999
## [59,] 2.059536 2.022344 1.985610 1.949336 1.913520 1.878164 1.843267 1.808829
## [60,] 2.088035 2.050670 2.013763 1.977316 1.941328 1.905799 1.870729 1.836118
## [61,] 2.116993 2.079455 2.042375 2.005755 1.969594 1.933892 1.898649 1.863865
## [62,] 2.146410 2.108699 2.071447 2.034654 1.998320 1.962445 1.927029 1.892072
## [63,] 2.176286 2.138402 2.100977 2.064011 2.027504 1.991457 1.955868 1.920738
## [64,] 2.206621 2.168564 2.130967 2.093828 2.057148 2.020927 1.985166 1.949864
## [65,] 2.237416 2.199186 2.161415 2.124103 2.087251 2.050857 2.014923 1.979448
## [66,] 2.268669 2.230266 2.192323 2.154838 2.117813 2.081246 2.045139 2.009491
## [67,] 2.300381 2.261806 2.223689 2.186032 2.148834 2.112095 2.075814 2.039993
## [68,] 2.332553 2.293805 2.255515 2.217685 2.180314 2.143402 2.106949 2.070955
## [69,] 2.365184 2.326262 2.287800 2.249797 2.212253 2.175168 2.138542 2.102375
## [70,] 2.398273 2.359179 2.320544 2.282368 2.244651 2.207393 2.170595 2.134255
## [71,] 2.431822 2.392555 2.353747 2.315398 2.277509 2.240078 2.203106 2.166594
## [72,] 2.465830 2.426390 2.387409 2.348888 2.310825 2.273222 2.236077 2.199392
## [73,] 2.500297 2.460684 2.421531 2.382836 2.344601 2.306824 2.269507 2.232649
## [74,] 2.535223 2.495438 2.456111 2.417244 2.378835 2.340886 2.303396 2.266365
## [75,] 2.570608 2.530650 2.491150 2.452110 2.413529 2.375407 2.337744 2.300540
## [76,] 2.606453 2.566321 2.526649 2.487436 2.448682 2.410387 2.372551 2.335174
## [77,] 2.642756 2.602452 2.562607 2.523221 2.484294 2.445826 2.407817 2.370267
## [78,] 2.679518 2.639041 2.599023 2.559464 2.520365 2.481724 2.443542 2.405820
## [79,] 2.716740 2.676090 2.635899 2.596167 2.556895 2.518081 2.479727 2.441831
## [80,] 2.754421 2.713598 2.673234 2.633329 2.593884 2.554897 2.516370 2.478302
## [81,] 2.792560 2.751565 2.711028 2.670951 2.631332 2.592173 2.553473 2.515232
## [82,] 2.831159 2.789991 2.749281 2.709031 2.669240 2.629907 2.591034 2.552620
## [83,] 2.870217 2.828876 2.787993 2.747570 2.707606 2.668101 2.629055 2.590468
## [84,] 2.909734 2.868220 2.827165 2.786569 2.746432 2.706754 2.667535 2.628775
## [85,] 2.949710 2.908023 2.866795 2.826026 2.785716 2.745865 2.706474 2.667541
## [86,] 2.990145 2.948285 2.906884 2.865943 2.825460 2.785436 2.745872 2.706766
## [87,] 3.031040 2.989007 2.947433 2.906318 2.865663 2.825466 2.785729 2.746450
## [88,] 3.072393 3.030187 2.988441 2.947153 2.906325 2.865955 2.826045 2.786594
## [89,] 3.114205 3.071827 3.029907 2.988447 2.947446 2.906903 2.866820 2.827196
## [90,] 3.156477 3.113926 3.071833 3.030200 2.989026 2.948311 2.908055 2.868258
## [91,] 3.199208 3.156483 3.114218 3.072412 3.031065 2.990177 2.949748 2.909778
## [92,] 3.242397 3.199500 3.157062 3.115083 3.073563 3.032502 2.991901 2.951758
## [93,] 3.286046 3.242976 3.200365 3.158213 3.116520 3.075287 3.034512 2.994197
## [94,] 3.330154 3.286911 3.244127 3.201803 3.159937 3.118530 3.077583 3.037094
## [95,] 3.374721 3.331305 3.288349 3.245851 3.203812 3.162233 3.121113 3.080451
## [96,] 3.419747 3.376159 3.333029 3.290358 3.248147 3.206395 3.165102 3.124267
## [97,] 3.465232 3.421471 3.378168 3.335325 3.292941 3.251016 3.209550 3.168543
## [98,] 3.511177 3.467242 3.423767 3.380751 3.338194 3.296096 3.254457 3.213277
## [99,] 3.557580 3.513473 3.469825 3.426636 3.383906 3.341635 3.299823 3.258470
## [100,] 3.604443 3.560162 3.516341 3.472979 3.430077 3.387633 3.345648 3.304122
## [,25] [,26] [,27] [,28] [,29] [,30] [,31]
## [1,] 0.9876326 0.9641389 0.9411043 0.9185288 0.8964124 0.8747551 0.8535568
## [2,] 0.9881212 0.9644546 0.9412472 0.9184988 0.8962095 0.8743793 0.8530083
## [3,] 0.9890689 0.9652295 0.9418491 0.9189279 0.8964658 0.8744627 0.8529188
## [4,] 0.9904757 0.9664634 0.9429102 0.9198161 0.8971811 0.8750052 0.8532884
## [5,] 0.9923416 0.9681564 0.9444304 0.9211634 0.8983555 0.8760068 0.8541171
## [6,] 0.9946666 0.9703086 0.9464096 0.9229698 0.8999891 0.8774674 0.8554049
## [7,] 0.9974506 0.9729198 0.9488480 0.9252353 0.9020817 0.8793872 0.8571517
## [8,] 1.0006938 0.9759901 0.9517454 0.9279599 0.9046334 0.8817660 0.8593577
## [9,] 1.0043961 0.9795195 0.9551019 0.9311435 0.9076442 0.8846039 0.8620228
## [10,] 1.0085574 0.9835079 0.9589176 0.9347863 0.9111141 0.8879009 0.8651469
## [11,] 1.0131778 0.9879555 0.9631923 0.9388881 0.9150430 0.8916571 0.8687302
## [12,] 1.0182574 0.9928622 0.9679261 0.9434490 0.9194311 0.8958723 0.8727725
## [13,] 1.0237960 0.9982279 0.9731189 0.9484691 0.9242783 0.9005465 0.8772739
## [14,] 1.0297937 1.0040528 0.9787709 0.9539482 0.9295845 0.9056799 0.8822344
## [15,] 1.0362505 1.0103367 0.9848820 0.9598864 0.9353498 0.9112724 0.8876541
## [16,] 1.0431664 1.0170797 0.9914522 0.9662837 0.9415743 0.9173240 0.8935328
## [17,] 1.0505414 1.0242819 0.9984814 0.9731401 0.9482578 0.9238346 0.8998705
## [18,] 1.0583755 1.0319431 1.0059698 0.9804555 0.9554004 0.9308044 0.9066674
## [19,] 1.0666686 1.0400634 1.0139172 0.9882301 0.9630021 0.9382332 0.9139234
## [20,] 1.0754209 1.0486428 1.0223237 0.9964638 0.9710629 0.9461211 0.9216385
## [21,] 1.0846322 1.0576812 1.0311893 1.0051565 0.9795828 0.9544681 0.9298126
## [22,] 1.0943027 1.0671788 1.0405140 1.0143084 0.9885618 0.9632743 0.9384458
## [23,] 1.1044322 1.0771355 1.0502978 1.0239193 0.9979998 0.9725395 0.9475382
## [24,] 1.1150208 1.0875512 1.0605407 1.0339893 1.0078970 0.9822638 0.9570896
## [25,] 1.1260685 1.0984261 1.0712427 1.0445184 1.0182532 0.9924471 0.9671001
## [26,] 1.1375753 1.1097600 1.0824038 1.0555066 1.0290686 1.0030896 0.9775697
## [27,] 1.1495412 1.1215530 1.0940239 1.0669539 1.0403430 1.0141912 0.9884984
## [28,] 1.1619662 1.1338052 1.1061032 1.0788603 1.0520765 1.0257518 0.9998862
## [29,] 1.1748503 1.1465164 1.1186415 1.0912258 1.0642691 1.0377716 1.0117331
## [30,] 1.1881935 1.1596867 1.1316390 1.1040504 1.0769208 1.0502504 1.0240391
## [31,] 1.2019957 1.1733161 1.1450955 1.1173340 1.0900316 1.0631883 1.0368041
## [32,] 1.2162571 1.1874045 1.1590111 1.1310768 1.1036015 1.0765854 1.0500283
## [33,] 1.2309775 1.2019521 1.1733858 1.1452786 1.1176305 1.0904415 1.0637115
## [34,] 1.2461570 1.2169588 1.1882196 1.1599395 1.1321186 1.1047567 1.0778539
## [35,] 1.2617957 1.2324245 1.2035125 1.1750596 1.1470657 1.1195310 1.0924553
## [36,] 1.2778934 1.2483494 1.2192645 1.1906387 1.1624720 1.1347643 1.1075158
## [37,] 1.2944502 1.2647333 1.2354755 1.2066769 1.1783373 1.1504568 1.1230354
## [38,] 1.3114661 1.2815763 1.2521457 1.2231742 1.1946617 1.1666084 1.1390141
## [39,] 1.3289410 1.2988785 1.2692750 1.2401306 1.2114452 1.1832190 1.1554519
## [40,] 1.3468751 1.3166397 1.2868633 1.2575460 1.2286879 1.2002888 1.1723488
## [41,] 1.3652683 1.3348600 1.3049107 1.2754206 1.2463896 1.2178176 1.1897047
## [42,] 1.3841205 1.3535394 1.3234173 1.2937543 1.2645504 1.2358055 1.2075198
## [43,] 1.4034319 1.3726778 1.3423829 1.3125470 1.2831702 1.2542526 1.2257940
## [44,] 1.4232023 1.3922754 1.3618076 1.3317989 1.3022492 1.2731587 1.2445272
## [45,] 1.4434319 1.4123321 1.3816914 1.3515098 1.3217873 1.2925239 1.2637195
## [46,] 1.4641205 1.4328478 1.4020343 1.3716798 1.3417844 1.3123482 1.2833710
## [47,] 1.4852682 1.4538227 1.4228363 1.3923089 1.3622407 1.3326315 1.3034815
## [48,] 1.5068750 1.4752566 1.4440973 1.4133971 1.3831560 1.3533740 1.3240511
## [49,] 1.5289409 1.4971496 1.4658175 1.4349444 1.4045305 1.3745756 1.3450798
## [50,] 1.5514659 1.5195018 1.4879967 1.4569508 1.4263640 1.3962362 1.3665676
## [51,] 1.5744499 1.5423130 1.5106351 1.4794163 1.4486566 1.4183560 1.3885144
## [52,] 1.5978931 1.5655833 1.5337325 1.5023409 1.4714083 1.4409348 1.4109204
## [53,] 1.6217954 1.5893127 1.5572890 1.5257245 1.4946191 1.4639727 1.4337855
## [54,] 1.6461567 1.6135011 1.5813047 1.5495673 1.5182890 1.4874698 1.4571096
## [55,] 1.6709772 1.6381487 1.6057794 1.5738691 1.5424179 1.5114259 1.4808929
## [56,] 1.6962567 1.6632554 1.6307132 1.5986300 1.5670060 1.5358411 1.5051352
## [57,] 1.7219953 1.6888211 1.6561061 1.6238501 1.5920532 1.5607154 1.5298366
## [58,] 1.7481930 1.7148460 1.6819580 1.6495292 1.6175594 1.5860487 1.5549972
## [59,] 1.7748498 1.7413299 1.7082691 1.6756674 1.6435247 1.6118412 1.5806168
## [60,] 1.8019657 1.7682729 1.7350393 1.7022647 1.6699492 1.6380928 1.6066955
## [61,] 1.8295407 1.7956751 1.7622685 1.7293211 1.6968327 1.6648034 1.6332332
## [62,] 1.8575748 1.8235363 1.7899569 1.7568365 1.7241753 1.6919732 1.6602301
## [63,] 1.8860679 1.8518566 1.8181043 1.7848111 1.7519770 1.7196020 1.6876861
## [64,] 1.9150202 1.8806360 1.8467108 1.8132448 1.7802378 1.7476899 1.7156012
## [65,] 1.9444315 1.9098744 1.8757764 1.8421375 1.8089577 1.7762370 1.7439753
## [66,] 1.9743020 1.9395720 1.9053011 1.8714894 1.8381367 1.8052431 1.7728086
## [67,] 2.0046315 1.9697287 1.9352849 1.9013003 1.8677747 1.8347083 1.8021009
## [68,] 2.0354201 2.0003444 1.9657278 1.9315703 1.8978719 1.8646326 1.8318523
## [69,] 2.0666678 2.0314193 1.9966298 1.9622994 1.9284281 1.8950159 1.8620628
## [70,] 2.0983746 2.0629532 2.0279909 1.9934876 1.9594435 1.9258584 1.8927324
## [71,] 2.1305405 2.0949462 2.0598110 2.0251349 1.9909179 1.9571600 1.9238611
## [72,] 2.1631655 2.1273984 2.0920903 2.0572413 2.0228514 1.9889206 1.9554489
## [73,] 2.1962496 2.1603096 2.1248286 2.0898068 2.0552440 2.0211404 1.9874958
## [74,] 2.2297928 2.1936799 2.1580261 2.1228314 2.0880957 2.0538192 2.0200018
## [75,] 2.2637950 2.2275093 2.1916826 2.1563150 2.1214065 2.0869571 2.0529668
## [76,] 2.2982564 2.2617977 2.2257982 2.1902578 2.1551764 2.1205542 2.0863910
## [77,] 2.3331768 2.2965453 2.2603729 2.2246596 2.1894054 2.1546103 2.1202742
## [78,] 2.3685563 2.3317520 2.2954067 2.2595205 2.2240935 2.1891255 2.1546166
## [79,] 2.4043950 2.3674177 2.3308996 2.2948406 2.2592406 2.2240998 2.1894180
## [80,] 2.4406927 2.4035426 2.3668516 2.3306197 2.2948469 2.2595331 2.2246785
## [81,] 2.4774495 2.4401265 2.4032627 2.3668579 2.3309122 2.2954256 2.2603981
## [82,] 2.5146654 2.4771695 2.4401328 2.4035552 2.3674366 2.3317772 2.2965768
## [83,] 2.5523403 2.5146717 2.4774621 2.4407116 2.4044201 2.3685878 2.3332146
## [84,] 2.5904744 2.5526329 2.5152504 2.4783270 2.4418628 2.4058576 2.3703115
## [85,] 2.6290676 2.5910532 2.5534978 2.5164016 2.4797645 2.4435864 2.4078674
## [86,] 2.6681198 2.6299326 2.5922044 2.5549353 2.5181253 2.4817743 2.4458825
## [87,] 2.7076312 2.6692710 2.6313700 2.5939280 2.5569451 2.5204214 2.4843567
## [88,] 2.7476016 2.7090686 2.6709947 2.6333799 2.5962241 2.5595275 2.5232899
## [89,] 2.7880312 2.7493253 2.7110785 2.6732908 2.6359622 2.5990927 2.5626822
## [90,] 2.8289198 2.7900410 2.7516214 2.7136608 2.6761593 2.6391170 2.6025337
## [91,] 2.8702675 2.8312159 2.7926234 2.7544899 2.7168156 2.6796003 2.6428442
## [92,] 2.9120743 2.8728498 2.8340844 2.7957781 2.7579309 2.7205428 2.6836138
## [93,] 2.9543402 2.9149428 2.8760046 2.8375254 2.7995054 2.7619444 2.7248425
## [94,] 2.9970652 2.9574950 2.9183838 2.8797318 2.8415389 2.8038050 2.7665303
## [95,] 3.0402493 3.0005062 2.9612222 2.9223973 2.8840315 2.8461248 2.8086771
## [96,] 3.0838924 3.0439765 3.0045196 2.9655219 2.9269832 2.8889036 2.8512831
## [97,] 3.1279947 3.0879059 3.0482761 3.0091055 2.9703940 2.9321415 2.8943482
## [98,] 3.1725560 3.1322943 3.0924918 3.0531483 3.0142639 2.9758386 2.9378723
## [99,] 3.2175765 3.1771419 3.1371665 3.0976501 3.0585928 3.0199947 2.9818556
## [100,] 3.2630560 3.2224486 3.1823003 3.1426110 3.1033809 3.0646099 3.0262979
## [,32] [,33] [,34] [,35] [,36] [,37] [,38]
## [1,] 0.8328177 0.8125377 0.7927167 0.7733548 0.7544521 0.7360084 0.7180238
## [2,] 0.8320963 0.8116433 0.7916495 0.7721148 0.7530392 0.7344226 0.7162652
## [3,] 0.8318339 0.8112081 0.7910414 0.7713339 0.7520853 0.7332959 0.7149656
## [4,] 0.8320306 0.8112320 0.7908925 0.7710120 0.7515906 0.7326283 0.7141252
## [5,] 0.8326865 0.8117150 0.7912026 0.7711492 0.7515550 0.7324198 0.7137438
## [6,] 0.8338014 0.8126570 0.7919717 0.7717456 0.7519785 0.7326704 0.7138215
## [7,] 0.8353754 0.8140582 0.7932000 0.7728010 0.7528610 0.7333801 0.7143583
## [8,] 0.8374085 0.8159184 0.7948874 0.7743155 0.7542026 0.7345489 0.7153543
## [9,] 0.8399007 0.8182377 0.7970339 0.7762891 0.7560034 0.7361768 0.7168093
## [10,] 0.8428520 0.8210162 0.7996394 0.7787218 0.7582632 0.7382637 0.7187233
## [11,] 0.8462624 0.8242537 0.8027041 0.7816135 0.7609821 0.7408098 0.7210965
## [12,] 0.8501318 0.8279503 0.8062278 0.7849644 0.7641601 0.7438149 0.7239288
## [13,] 0.8544604 0.8321060 0.8102106 0.7887744 0.7677972 0.7472791 0.7272202
## [14,] 0.8592481 0.8367208 0.8146525 0.7930434 0.7718934 0.7512025 0.7309706
## [15,] 0.8644948 0.8417946 0.8195536 0.7977716 0.7764487 0.7555849 0.7351802
## [16,] 0.8702006 0.8473276 0.8249137 0.8029588 0.7814630 0.7604264 0.7398488
## [17,] 0.8763656 0.8533197 0.8307328 0.8086051 0.7869365 0.7657270 0.7449765
## [18,] 0.8829896 0.8597708 0.8370111 0.8147105 0.7928691 0.7714867 0.7505633
## [19,] 0.8900727 0.8666810 0.8437485 0.8212751 0.7992607 0.7777054 0.7566093
## [20,] 0.8976149 0.8740504 0.8509450 0.8282986 0.8061114 0.7843833 0.7631143
## [21,] 0.9056162 0.8818788 0.8586005 0.8357813 0.8134212 0.7915202 0.7700783
## [22,] 0.9140765 0.8901663 0.8667152 0.8437231 0.8211902 0.7991163 0.7775015
## [23,] 0.9229960 0.8989129 0.8752889 0.8521240 0.8294182 0.8071714 0.7853838
## [24,] 0.9323746 0.9081186 0.8843217 0.8609839 0.8381053 0.8156857 0.7937252
## [25,] 0.9422122 0.9177834 0.8938136 0.8703030 0.8472514 0.8246590 0.8025256
## [26,] 0.9525089 0.9279073 0.9037647 0.8800811 0.8568567 0.8340914 0.8117852
## [27,] 0.9632648 0.9384902 0.9141748 0.8903184 0.8669211 0.8439829 0.8215038
## [28,] 0.9744797 0.9495323 0.9250439 0.9010147 0.8774446 0.8543335 0.8316815
## [29,] 0.9861537 0.9610334 0.9363722 0.9121701 0.8884271 0.8651432 0.8423183
## [30,] 0.9982868 0.9729937 0.9481596 0.9237846 0.8998687 0.8764120 0.8534142
## [31,] 1.0108790 0.9854130 0.9604061 0.9358582 0.9117695 0.8881398 0.8649692
## [32,] 1.0239303 0.9982914 0.9731116 0.9483909 0.9241293 0.9003268 0.8769833
## [33,] 1.0374407 1.0116289 0.9862763 0.9613827 0.9369482 0.9129728 0.8894565
## [34,] 1.0514101 1.0254255 0.9999000 0.9748336 0.9502262 0.9260780 0.9023888
## [35,] 1.0658387 1.0396812 1.0139828 0.9887435 0.9639633 0.9396422 0.9157802
## [36,] 1.0807264 1.0543960 1.0285247 1.0031126 0.9781595 0.9536655 0.9296306
## [37,] 1.0960731 1.0695699 1.0435258 1.0179407 0.9928148 0.9681479 0.9439402
## [38,] 1.1118789 1.0852028 1.0589859 1.0332280 1.0079291 0.9830894 0.9587088
## [39,] 1.1281439 1.1012949 1.0749050 1.0489743 1.0235026 0.9984900 0.9739365
## [40,] 1.1448679 1.1178461 1.0912833 1.0651797 1.0395352 1.0143497 0.9896233
## [41,] 1.1620510 1.1348563 1.1081207 1.0818442 1.0560268 1.0306685 1.0057692
## [42,] 1.1796932 1.1523256 1.1254172 1.0989678 1.0729775 1.0474463 1.0223742
## [43,] 1.1977945 1.1702540 1.1431727 1.1165505 1.0903873 1.0646833 1.0394383
## [44,] 1.2163548 1.1886416 1.1613874 1.1345923 1.1082563 1.0823793 1.0569615
## [45,] 1.2353743 1.2074882 1.1800611 1.1530931 1.1265843 1.1005345 1.0749438
## [46,] 1.2548529 1.2267938 1.1991939 1.1720531 1.1453714 1.1191487 1.0933852
## [47,] 1.2747905 1.2465586 1.2187858 1.1914722 1.1646175 1.1382220 1.1122856
## [48,] 1.2951872 1.2667825 1.2388369 1.2113503 1.1843228 1.1577544 1.1316452
## [49,] 1.3160431 1.2874655 1.2593470 1.2316875 1.2044872 1.1777459 1.1514638
## [50,] 1.3373580 1.3086075 1.2803161 1.2524839 1.2251107 1.1981965 1.1717415
## [51,] 1.3591320 1.3302087 1.3017444 1.2737393 1.2461932 1.2191062 1.1924783
## [52,] 1.3813651 1.3522689 1.3236318 1.2954538 1.2677348 1.2404750 1.2136742
## [53,] 1.4040573 1.3747882 1.3459783 1.3176274 1.2897356 1.2623029 1.2353292
## [54,] 1.4272086 1.3977667 1.3687838 1.3402601 1.3121954 1.2845898 1.2574433
## [55,] 1.4508190 1.4212042 1.3920485 1.3633518 1.3351143 1.3073359 1.2800165
## [56,] 1.4748884 1.4451008 1.4157722 1.3869027 1.3584923 1.3305410 1.3030488
## [57,] 1.4994170 1.4694565 1.4399550 1.4109127 1.3823294 1.3542052 1.3265402
## [58,] 1.5244047 1.4942713 1.4645969 1.4353817 1.4066256 1.3783286 1.3504906
## [59,] 1.5498514 1.5195451 1.4896980 1.4603099 1.4313809 1.4029110 1.3749002
## [60,] 1.5757572 1.5452781 1.5152581 1.4856971 1.4565952 1.4279525 1.3997688
## [61,] 1.6021222 1.5714702 1.5412772 1.5115434 1.4822687 1.4534531 1.4250965
## [62,] 1.6289462 1.5981213 1.5677555 1.5378488 1.5084013 1.4794127 1.4508833
## [63,] 1.6562293 1.6252315 1.5946929 1.5646134 1.5349929 1.5058315 1.4771292
## [64,] 1.6839715 1.6528009 1.6220894 1.5918369 1.5620436 1.5327094 1.5038342
## [65,] 1.7121728 1.6808293 1.6499449 1.6195196 1.5895534 1.5600463 1.5309983
## [66,] 1.7408331 1.7093168 1.6782596 1.6476614 1.6175224 1.5878424 1.5586215
## [67,] 1.7699526 1.7382634 1.7070333 1.6762623 1.6459504 1.6160975 1.5867038
## [68,] 1.7995312 1.7676691 1.7362661 1.7053222 1.6748375 1.6448118 1.6152452
## [69,] 1.8295688 1.7975339 1.7659580 1.7348413 1.7041836 1.6739851 1.6442456
## [70,] 1.8600655 1.8278578 1.7961091 1.7648194 1.7339889 1.7036175 1.6737052
## [71,] 1.8910214 1.8586407 1.8267192 1.7952567 1.7642533 1.7337090 1.7036238
## [72,] 1.9224363 1.8898828 1.8577883 1.8261530 1.7949768 1.7642596 1.7340015
## [73,] 1.9543103 1.9215839 1.8893166 1.8575084 1.8261593 1.7952693 1.7648383
## [74,] 1.9866434 1.9537442 1.9213040 1.8893229 1.8578009 1.8267380 1.7961342
## [75,] 2.0194356 1.9863635 1.9537505 1.9215965 1.8899017 1.8586659 1.8278892
## [76,] 2.0526869 2.0194419 1.9866560 1.9543292 1.9224615 1.8910529 1.8601033
## [77,] 2.0863973 2.0529794 2.0200207 1.9875210 1.9554804 1.9238989 1.8927765
## [78,] 2.1205667 2.0869760 2.0538444 2.0211719 1.9889584 1.9572041 1.9259088
## [79,] 2.1551953 2.1214317 2.0881272 2.0552818 2.0228955 1.9909683 1.9595002
## [80,] 2.1902830 2.1563465 2.1228691 2.0898509 2.0572917 2.0251916 1.9935506
## [81,] 2.2258297 2.1917204 2.1580702 2.1248790 2.0921470 2.0598740 2.0280602
## [82,] 2.2618355 2.2275533 2.1937303 2.1603663 2.1274613 2.0950155 2.0630288
## [83,] 2.2983005 2.2638454 2.2298494 2.1963126 2.1632348 2.1306161 2.0984565
## [84,] 2.3352245 2.3005966 2.2664277 2.2327180 2.1994674 2.1666758 2.1343433
## [85,] 2.3726076 2.3378068 2.3034651 2.2695825 2.2361590 2.2031946 2.1706892
## [86,] 2.4104498 2.3754761 2.3409616 2.3069061 2.2733097 2.2401724 2.2074942
## [87,] 2.4487511 2.4136045 2.3789171 2.3446888 2.3109195 2.2776094 2.2447583
## [88,] 2.4875114 2.4521921 2.4173318 2.3829306 2.3489885 2.3155054 2.2824815
## [89,] 2.5267309 2.4912387 2.4562055 2.4216314 2.3875165 2.3538606 2.3206638
## [90,] 2.5664095 2.5307443 2.4955383 2.4607914 2.4265036 2.3926748 2.3593052
## [91,] 2.6065471 2.5707091 2.5353302 2.5004104 2.4659497 2.4319481 2.3984056
## [92,] 2.6471438 2.6111330 2.5755813 2.5404886 2.5058550 2.4716805 2.4379652
## [93,] 2.6881997 2.6520160 2.6162914 2.5810258 2.5462194 2.5118720 2.4779838
## [94,] 2.7297146 2.6933580 2.6574605 2.6220222 2.5870428 2.5525226 2.5184615
## [95,] 2.7716886 2.7351592 2.6990888 2.6634776 2.6283254 2.5936323 2.5593983
## [96,] 2.8141217 2.7774194 2.7411762 2.7053921 2.6700670 2.6352011 2.6007942
## [97,] 2.8570139 2.8201387 2.7837227 2.7477657 2.7122678 2.6772290 2.6426492
## [98,] 2.9003652 2.8633172 2.8267282 2.7905984 2.7549276 2.7197159 2.6849633
## [99,] 2.9441756 2.9069547 2.8701929 2.8338901 2.7980465 2.7626620 2.7277365
## [100,] 2.9884451 2.9510513 2.9141166 2.8776410 2.8416245 2.8060671 2.7709688
## [,39] [,40] [,41] [,42] [,43] [,44] [,45]
## [1,] 0.7004983 0.6834319 0.6668246 0.6506763 0.6349872 0.6197572 0.6049862
## [2,] 0.6985668 0.6813275 0.6645473 0.6482262 0.6323642 0.6169613 0.6020175
## [3,] 0.6970944 0.6796822 0.6627292 0.6462352 0.6302004 0.6146246 0.5995079
## [4,] 0.6960811 0.6784961 0.6613701 0.6447033 0.6284956 0.6127469 0.5974574
## [5,] 0.6955268 0.6777690 0.6604702 0.6436305 0.6272499 0.6113284 0.5958660
## [6,] 0.6954317 0.6775010 0.6600293 0.6430168 0.6264633 0.6103689 0.5947336
## [7,] 0.6957956 0.6776920 0.6600475 0.6428621 0.6261358 0.6098685 0.5940604
## [8,] 0.6966187 0.6783422 0.6605248 0.6431666 0.6262674 0.6098273 0.5938462
## [9,] 0.6979008 0.6794515 0.6614612 0.6439301 0.6268580 0.6102451 0.5940912
## [10,] 0.6996420 0.6810198 0.6628567 0.6451527 0.6279078 0.6111220 0.5947952
## [11,] 0.7018424 0.6830473 0.6647113 0.6468344 0.6294166 0.6124579 0.5959583
## [12,] 0.7045018 0.6855338 0.6670250 0.6489752 0.6313846 0.6142530 0.5975805
## [13,] 0.7076203 0.6884795 0.6697978 0.6515751 0.6338116 0.6165072 0.5996618
## [14,] 0.7111979 0.6918842 0.6730296 0.6546341 0.6366977 0.6192204 0.6022022
## [15,] 0.7152345 0.6957480 0.6767206 0.6581522 0.6400430 0.6223928 0.6052017
## [16,] 0.7197303 0.7000709 0.6808706 0.6621294 0.6438473 0.6260242 0.6086603
## [17,] 0.7246852 0.7048529 0.6854797 0.6665657 0.6481107 0.6301148 0.6125780
## [18,] 0.7300991 0.7100940 0.6905480 0.6714610 0.6528332 0.6346644 0.6169547
## [19,] 0.7359722 0.7157942 0.6960753 0.6768155 0.6580147 0.6396731 0.6217906
## [20,] 0.7423043 0.7219534 0.7020617 0.6826290 0.6636554 0.6451409 0.6270855
## [21,] 0.7490955 0.7285718 0.7085072 0.6889016 0.6697552 0.6510678 0.6328395
## [22,] 0.7563458 0.7356492 0.7154117 0.6956333 0.6763140 0.6574538 0.6390527
## [23,] 0.7640552 0.7431858 0.7227754 0.7028241 0.6833320 0.6642989 0.6457249
## [24,] 0.7722237 0.7511814 0.7305982 0.7104740 0.6908090 0.6716030 0.6528562
## [25,] 0.7808513 0.7596361 0.7388800 0.7185830 0.6987451 0.6793663 0.6604466
## [26,] 0.7899380 0.7685500 0.7476210 0.7271511 0.7071403 0.6875886 0.6684960
## [27,] 0.7994838 0.7779229 0.7568210 0.7361783 0.7159946 0.6962701 0.6770046
## [28,] 0.8094886 0.7877549 0.7664802 0.7456646 0.7253080 0.7054106 0.6859723
## [29,] 0.8199526 0.7980459 0.7765984 0.7556099 0.7350805 0.7150102 0.6953990
## [30,] 0.8308756 0.8087961 0.7871757 0.7660144 0.7453121 0.7250690 0.7052849
## [31,] 0.8422578 0.8200054 0.7982121 0.7768779 0.7560028 0.7355868 0.7156298
## [32,] 0.8540990 0.8316737 0.8097076 0.7882005 0.7671525 0.7465637 0.7264339
## [33,] 0.8663993 0.8438012 0.8216622 0.7999822 0.7787614 0.7579996 0.7376970
## [34,] 0.8791587 0.8563877 0.8340758 0.8122230 0.7908293 0.7698947 0.7494192
## [35,] 0.8923772 0.8694334 0.8469486 0.8249229 0.8033564 0.7822489 0.7616005
## [36,] 0.9060548 0.8829381 0.8602805 0.8380819 0.8163425 0.7950621 0.7742409
## [37,] 0.9201915 0.8969019 0.8740714 0.8517000 0.8297877 0.8083345 0.7873404
## [38,] 0.9347873 0.9113248 0.8883215 0.8657772 0.8436920 0.8220659 0.8008989
## [39,] 0.9498421 0.9262068 0.9030306 0.8803135 0.8580554 0.8362565 0.8149166
## [40,] 0.9653561 0.9415479 0.9181988 0.8953088 0.8728779 0.8509061 0.8293934
## [41,] 0.9813291 0.9573481 0.9338261 0.9107633 0.8881595 0.8660148 0.8443292
## [42,] 0.9977612 0.9736073 0.9499125 0.9266768 0.9039002 0.8815826 0.8597241
## [43,] 1.0146525 0.9903257 0.9664580 0.9430494 0.9200999 0.8976095 0.8755782
## [44,] 1.0320028 1.0075031 0.9834626 0.9598811 0.9367588 0.9140955 0.8918913
## [45,] 1.0498122 1.0251397 1.0009263 0.9771719 0.9538767 0.9310406 0.9086635
## [46,] 1.0680807 1.0432353 1.0188490 0.9949218 0.9714537 0.9484447 0.9258948
## [47,] 1.0868083 1.0617900 1.0372309 1.0131308 0.9894899 0.9663080 0.9435852
## [48,] 1.1059950 1.0808039 1.0560718 1.0317989 1.0079851 0.9846303 0.9617347
## [49,] 1.1256407 1.1002768 1.0753719 1.0509261 1.0269394 1.0034118 0.9803433
## [50,] 1.1457456 1.1202088 1.0951310 1.0705124 1.0463528 1.0226523 0.9994109
## [51,] 1.1663095 1.1405998 1.1153492 1.0905577 1.0662253 1.0423519 1.0189377
## [52,] 1.1873326 1.1614500 1.1360265 1.1110622 1.0865569 1.0625106 1.0389235
## [53,] 1.2088147 1.1827593 1.1571629 1.1320257 1.1073475 1.0831285 1.0593685
## [54,] 1.2307559 1.2045276 1.1787584 1.1534483 1.1285973 1.1042053 1.0802725
## [55,] 1.2531563 1.2267551 1.2008130 1.1753300 1.1503061 1.1257413 1.1016356
## [56,] 1.2760157 1.2494416 1.2233267 1.1976708 1.1724741 1.1477364 1.1234578
## [57,] 1.2993342 1.2725873 1.2462995 1.2204707 1.1951011 1.1701906 1.1457391
## [58,] 1.3231118 1.2961920 1.2697313 1.2437297 1.2181872 1.1931038 1.1684795
## [59,] 1.3473484 1.3202558 1.2936223 1.2674478 1.2417325 1.2164762 1.1916790
## [60,] 1.3720442 1.3447787 1.3179723 1.2916250 1.2657368 1.2403076 1.2153376
## [61,] 1.3971991 1.3697607 1.3427814 1.3162612 1.2902002 1.2645982 1.2394553
## [62,] 1.4228130 1.3952018 1.3680497 1.3413566 1.3151226 1.2893478 1.2640320
## [63,] 1.4488861 1.4211020 1.3937770 1.3669110 1.3405042 1.3145565 1.2890679
## [64,] 1.4754182 1.4474612 1.4199634 1.3929246 1.3663449 1.3402243 1.3145628
## [65,] 1.5024094 1.4742796 1.4466089 1.4193972 1.3926447 1.3663512 1.3405168
## [66,] 1.5298597 1.5015570 1.4737134 1.4463289 1.4194035 1.3929372 1.3669299
## [67,] 1.5577691 1.5292936 1.5012771 1.4737197 1.4466215 1.4199823 1.3938022
## [68,] 1.5861376 1.5574892 1.5292999 1.5015696 1.4742985 1.4474864 1.4211335
## [69,] 1.6149652 1.5861439 1.5577817 1.5298786 1.5024346 1.4754497 1.4489238
## [70,] 1.6442519 1.6152578 1.5867227 1.5586467 1.5310298 1.5038720 1.4771733
## [71,] 1.6739977 1.6448307 1.6161227 1.5878739 1.5600841 1.5327535 1.5058819
## [72,] 1.7042025 1.6748627 1.6459819 1.6175601 1.5895975 1.5620940 1.5350496
## [73,] 1.7348665 1.7053537 1.6763001 1.6477055 1.6195700 1.5918936 1.5646763
## [74,] 1.7659895 1.7363039 1.7070774 1.6783099 1.6500016 1.6221523 1.5947622
## [75,] 1.7975717 1.7677132 1.7383138 1.7093735 1.6808923 1.6528701 1.6253071
## [76,] 1.8296129 1.7995815 1.7700093 1.7408961 1.7122420 1.6840470 1.6563111
## [77,] 1.8621132 1.8319090 1.8021639 1.7728778 1.7440509 1.7156830 1.6877743
## [78,] 1.8950726 1.8646955 1.8347775 1.8053186 1.7763188 1.7477781 1.7196965
## [79,] 1.9284911 1.8979412 1.8678503 1.8382185 1.8090459 1.7803323 1.7520778
## [80,] 1.9623687 1.9316459 1.9013822 1.8715775 1.8422320 1.8133455 1.7849182
## [81,] 1.9967054 1.9658097 1.9353731 1.9053956 1.8758772 1.8468179 1.8182177
## [82,] 2.0315012 2.0004326 1.9698231 1.9396728 1.9099815 1.8807493 1.8519762
## [83,] 2.0667560 2.0355146 2.0047323 1.9744090 1.9445449 1.9151399 1.8861939
## [84,] 2.1024700 2.0710557 2.0401005 2.0096044 1.9795674 1.9499895 1.9208707
## [85,] 2.1386430 2.1070559 2.0759278 2.0452588 2.0150490 1.9852982 1.9560065
## [86,] 2.1752751 2.1435151 2.1122142 2.0813724 2.0509896 2.0210660 1.9916014
## [87,] 2.2123664 2.1804335 2.1489597 2.1179450 2.0873894 2.0572929 2.0276555
## [88,] 2.2499167 2.2178109 2.1861643 2.1549767 2.1242483 2.0939789 2.0641686
## [89,] 2.2879261 2.2556475 2.2238280 2.1924675 2.1615662 2.1311240 2.1011408
## [90,] 2.3263946 2.2939431 2.2619507 2.2304174 2.1993432 2.1687281 2.1385721
## [91,] 2.3653222 2.3326978 2.3005326 2.2688264 2.2375794 2.2067914 2.1764625
## [92,] 2.4047089 2.3719117 2.3395735 2.3076945 2.2762746 2.2453137 2.2148120
## [93,] 2.4445546 2.4115846 2.3790736 2.3470217 2.3154289 2.2842952 2.2536206
## [94,] 2.4848595 2.4517165 2.4190327 2.3868079 2.3550423 2.3237357 2.2928882
## [95,] 2.5256234 2.4923076 2.4594509 2.4270533 2.3951148 2.3636353 2.3326150
## [96,] 2.5668465 2.5333578 2.5003282 2.4677577 2.4356463 2.4039940 2.3728008
## [97,] 2.6085286 2.5748671 2.5416646 2.5089213 2.4766370 2.4448118 2.4134458
## [98,] 2.6506698 2.6168354 2.5834601 2.5505439 2.5180868 2.4860887 2.4545498
## [99,] 2.6932702 2.6592629 2.6257147 2.5926256 2.5599956 2.5278247 2.4961129
## [100,] 2.7363296 2.7021494 2.6684284 2.6351664 2.6023636 2.5700198 2.5381351
## [,46] [,47] [,48] [,49] [,50] [,51] [,52]
## [1,] 0.5906744 0.5768216 0.5634279 0.5504933 0.5380178 0.5260014 0.5144441
## [2,] 0.5875328 0.5735072 0.5599406 0.5468332 0.5341848 0.5219955 0.5102653
## [3,] 0.5848503 0.5706518 0.5569124 0.5436321 0.5308109 0.5184487 0.5065457
## [4,] 0.5826269 0.5682556 0.5543433 0.5408901 0.5278960 0.5153610 0.5032851
## [5,] 0.5808626 0.5663184 0.5522333 0.5386072 0.5254403 0.5127324 0.5004836
## [6,] 0.5795574 0.5648403 0.5505823 0.5367834 0.5234436 0.5105628 0.4981412
## [7,] 0.5787113 0.5638214 0.5493905 0.5354187 0.5219060 0.5088524 0.4962579
## [8,] 0.5783243 0.5632615 0.5486577 0.5345131 0.5208275 0.5076011 0.4948337
## [9,] 0.5783964 0.5631607 0.5483841 0.5340666 0.5202081 0.5068088 0.4938686
## [10,] 0.5789276 0.5635190 0.5485695 0.5340791 0.5200478 0.5064756 0.4933625
## [11,] 0.5799178 0.5643364 0.5492140 0.5345508 0.5203466 0.5066016 0.4933156
## [12,] 0.5813672 0.5656129 0.5503177 0.5354815 0.5211045 0.5071866 0.4937277
## [13,] 0.5832756 0.5673484 0.5518804 0.5368714 0.5223215 0.5082307 0.4945990
## [14,] 0.5856431 0.5695431 0.5539021 0.5387203 0.5239975 0.5097339 0.4959293
## [15,] 0.5884697 0.5721968 0.5563830 0.5410283 0.5261327 0.5116962 0.4977187
## [16,] 0.5917554 0.5753097 0.5593230 0.5437954 0.5287269 0.5141176 0.4999672
## [17,] 0.5955002 0.5788816 0.5627221 0.5470216 0.5317803 0.5169980 0.5026748
## [18,] 0.5997041 0.5829126 0.5665802 0.5507069 0.5352927 0.5203376 0.5058415
## [19,] 0.6043671 0.5874028 0.5708975 0.5548513 0.5392642 0.5241362 0.5094673
## [20,] 0.6094892 0.5923520 0.5756738 0.5594548 0.5436948 0.5283940 0.5135522
## [21,] 0.6150704 0.5977603 0.5809093 0.5645174 0.5485845 0.5331108 0.5180962
## [22,] 0.6211106 0.6036276 0.5866038 0.5700390 0.5539333 0.5382867 0.5230992
## [23,] 0.6276100 0.6099541 0.5927574 0.5760198 0.5597412 0.5439218 0.5285614
## [24,] 0.6345684 0.6167397 0.5993701 0.5824596 0.5660082 0.5500159 0.5344826
## [25,] 0.6419859 0.6239844 0.6064419 0.5893585 0.5727342 0.5565691 0.5408630
## [26,] 0.6498625 0.6316881 0.6139728 0.5967165 0.5799194 0.5635813 0.5477024
## [27,] 0.6581982 0.6398510 0.6219628 0.6045337 0.5875636 0.5710527 0.5550009
## [28,] 0.6669930 0.6484729 0.6304118 0.6128099 0.5956670 0.5789832 0.5627585
## [29,] 0.6762469 0.6575539 0.6393200 0.6215452 0.6042294 0.5873728 0.5709752
## [30,] 0.6859599 0.6670940 0.6486872 0.6307395 0.6132509 0.5962214 0.5796510
## [31,] 0.6961320 0.6770932 0.6585136 0.6403930 0.6227315 0.6055291 0.5887859
## [32,] 0.7067631 0.6875515 0.6687990 0.6505056 0.6326712 0.6152960 0.5983798
## [33,] 0.7178534 0.6984689 0.6795435 0.6610772 0.6430700 0.6255219 0.6084329
## [34,] 0.7294027 0.7098454 0.6907471 0.6721080 0.6539279 0.6362069 0.6189450
## [35,] 0.7414112 0.7216810 0.7024098 0.6835978 0.6652449 0.6473510 0.6299163
## [36,] 0.7538787 0.7339756 0.7145316 0.6955467 0.6770209 0.6589542 0.6413466
## [37,] 0.7668053 0.7467294 0.7271125 0.7079548 0.6892561 0.6710165 0.6532360
## [38,] 0.7801910 0.7599422 0.7401525 0.7208219 0.7019503 0.6835379 0.6655845
## [39,] 0.7940358 0.7736142 0.7536516 0.7341481 0.7151037 0.6965184 0.6783921
## [40,] 0.8083397 0.7877452 0.7676097 0.7479334 0.7287161 0.7099579 0.6916588
## [41,] 0.8231027 0.8023353 0.7820270 0.7621778 0.7427876 0.7238566 0.7053846
## [42,] 0.8383248 0.8173845 0.7969033 0.7768812 0.7573182 0.7382143 0.7195695
## [43,] 0.8540059 0.8328928 0.8122388 0.7920438 0.7723079 0.7530312 0.7342135
## [44,] 0.8701462 0.8488602 0.8280333 0.8076655 0.7877567 0.7683071 0.7493165
## [45,] 0.8867455 0.8652867 0.8442869 0.8237462 0.8036646 0.7840421 0.7648787
## [46,] 0.9038040 0.8821722 0.8609996 0.8402860 0.8200316 0.8002362 0.7808999
## [47,] 0.9213215 0.8995169 0.8781714 0.8572850 0.8368576 0.8168894 0.7973802
## [48,] 0.9392981 0.9173207 0.8958023 0.8747430 0.8541428 0.8340017 0.8143197
## [49,] 0.9577338 0.9355835 0.9138923 0.8926601 0.8718870 0.8515731 0.8317182
## [50,] 0.9766286 0.9543054 0.9324413 0.9110363 0.8900904 0.8696035 0.8495758
## [51,] 0.9959825 0.9734865 0.9514495 0.9298716 0.9087528 0.8880931 0.8678925
## [52,] 1.0157955 0.9931266 0.9709167 0.9491660 0.9278743 0.9070418 0.8866683
## [53,] 1.0360676 1.0132258 0.9908431 0.9689195 0.9474549 0.9264495 0.9059031
## [54,] 1.0567987 1.0337841 1.0112285 0.9891320 0.9674946 0.9463163 0.9255971
## [55,] 1.0779890 1.0548015 1.0320730 1.0098037 0.9879934 0.9666423 0.9457502
## [56,] 1.0996383 1.0762779 1.0533766 1.0309344 1.0089513 0.9874273 0.9663623
## [57,] 1.1217468 1.0982135 1.0751393 1.0525243 1.0303683 1.0086714 0.9874336
## [58,] 1.1443143 1.1206082 1.0973611 1.0745732 1.0522443 1.0303746 1.0089639
## [59,] 1.1673409 1.1434619 1.1200420 1.0970812 1.0745795 1.0525369 1.0309533
## [60,] 1.1908266 1.1667748 1.1431820 1.1200483 1.0973737 1.0751582 1.0534018
## [61,] 1.2147714 1.1905467 1.1667811 1.1434745 1.1206271 1.0982387 1.0763094
## [62,] 1.2391753 1.2147777 1.1908392 1.1673598 1.1443395 1.1217783 1.0996761
## [63,] 1.2640383 1.2394678 1.2153565 1.1917042 1.1685110 1.1457769 1.1235019
## [64,] 1.2893604 1.2646171 1.2403328 1.2165077 1.1931416 1.1702347 1.1477868
## [65,] 1.3151415 1.2902254 1.2657683 1.2417702 1.2182313 1.1951515 1.1725308
## [66,] 1.3413818 1.3162927 1.2916628 1.2674919 1.2437801 1.2205274 1.1977338
## [67,] 1.3680811 1.3428192 1.3180164 1.2936726 1.2697880 1.2463624 1.2233960
## [68,] 1.3952396 1.3698048 1.3448291 1.3203125 1.2962550 1.2726565 1.2495172
## [69,] 1.4228571 1.3972495 1.3721009 1.3474114 1.3231810 1.2994097 1.2760975
## [70,] 1.4509337 1.4251532 1.3998318 1.3749694 1.3505662 1.3266220 1.3031370
## [71,] 1.4794694 1.4535160 1.4280218 1.4029865 1.3784104 1.3542934 1.3306355
## [72,] 1.5084642 1.4823380 1.4566708 1.4314627 1.4067138 1.3824239 1.3585931
## [73,] 1.5379181 1.5116190 1.4857790 1.4603980 1.4354762 1.4110134 1.3870098
## [74,] 1.5678311 1.5413591 1.5153462 1.4897924 1.4646977 1.4400621 1.4158856
## [75,] 1.5982032 1.5715583 1.5453726 1.5196459 1.4943783 1.4695698 1.4452204
## [76,] 1.6290343 1.6022166 1.5758580 1.5499585 1.5245180 1.4995367 1.4750144
## [77,] 1.6603246 1.6333340 1.6068025 1.5807301 1.5551168 1.5299626 1.5052675
## [78,] 1.6920739 1.6649105 1.6382061 1.6119609 1.5861747 1.5608476 1.5359796
## [79,] 1.7242824 1.6969461 1.6700688 1.6436507 1.6176917 1.5921917 1.5671509
## [80,] 1.7569499 1.7294407 1.7023906 1.6757996 1.6496677 1.6239949 1.5987812
## [81,] 1.7900765 1.7623945 1.7351715 1.7084077 1.6821029 1.6562572 1.6308706
## [82,] 1.8236622 1.7958073 1.7684115 1.7414748 1.7149971 1.6889786 1.6634191
## [83,] 1.8577070 1.8296793 1.8021106 1.7750010 1.7483505 1.7221591 1.6964267
## [84,] 1.8922109 1.8640103 1.8362687 1.8089863 1.7821629 1.7557986 1.7298934
## [85,] 1.9271739 1.8988004 1.8708860 1.8434306 1.8164344 1.7898973 1.7638192
## [86,] 1.9625960 1.9340496 1.9059623 1.8783341 1.8511650 1.8244550 1.7982041
## [87,] 1.9984771 1.9697579 1.9414977 1.9136967 1.8863547 1.8594718 1.8330481
## [88,] 2.0348174 2.0059253 1.9774923 1.9495183 1.9220035 1.8949478 1.8683511
## [89,] 2.0716167 2.0425518 2.0139459 1.9857991 1.9581114 1.9308828 1.9041133
## [90,] 2.1088752 2.0796373 2.0508586 2.0225389 1.9946784 1.9672769 1.9403345
## [91,] 2.1465927 2.1171820 2.0882304 2.0597379 2.0317044 2.0041301 1.9770148
## [92,] 2.1847693 2.1551857 2.1260613 2.0973959 2.0691896 2.0414424 2.0141543
## [93,] 2.2234050 2.1936486 2.1643512 2.1355130 2.1071338 2.0792138 2.0517528
## [94,] 2.2624998 2.2325705 2.2031003 2.1740892 2.1455372 2.1174442 2.0898104
## [95,] 2.3020537 2.2719515 2.2423085 2.2131245 2.1843996 2.1561338 2.1283271
## [96,] 2.3420667 2.3117917 2.2819757 2.2526189 2.2237211 2.1952824 2.1673029
## [97,] 2.3825388 2.3520909 2.3221021 2.2925723 2.2635017 2.2348902 2.2067377
## [98,] 2.4234699 2.3928492 2.3626875 2.3329849 2.3037414 2.2749570 2.2466317
## [99,] 2.4648602 2.4340666 2.4037320 2.3738566 2.3444402 2.3154829 2.2869848
## [100,] 2.5067095 2.4757430 2.4452356 2.4151873 2.3855981 2.3564680 2.3277969
## [,53] [,54] [,55] [,56] [,57] [,58] [,59]
## [1,] 0.5033459 0.4927067 0.4825267 0.4728057 0.4635439 0.4547411 0.4463974
## [2,] 0.4989942 0.4881822 0.4778293 0.4679355 0.4585008 0.4495251 0.4410086
## [3,] 0.4951017 0.4841168 0.4735911 0.4635244 0.4539168 0.4447683 0.4360789
## [4,] 0.4916683 0.4805105 0.4698119 0.4595723 0.4497919 0.4404705 0.4316082
## [5,] 0.4886939 0.4773633 0.4664918 0.4560794 0.4461261 0.4366318 0.4275967
## [6,] 0.4861786 0.4746752 0.4636308 0.4530455 0.4429193 0.4332522 0.4240442
## [7,] 0.4841225 0.4724461 0.4612289 0.4504708 0.4401717 0.4303317 0.4209509
## [8,] 0.4825254 0.4706762 0.4592861 0.4483551 0.4378832 0.4278703 0.4183166
## [9,] 0.4813874 0.4693653 0.4578024 0.4466985 0.4360537 0.4258680 0.4161414
## [10,] 0.4807085 0.4685136 0.4567777 0.4455010 0.4346833 0.4243248 0.4144253
## [11,] 0.4804887 0.4681209 0.4562122 0.4447626 0.4337721 0.4232406 0.4131683
## [12,] 0.4807280 0.4681873 0.4561058 0.4444833 0.4333199 0.4226156 0.4123704
## [13,] 0.4814264 0.4687128 0.4564584 0.4446631 0.4333268 0.4224496 0.4120316
## [14,] 0.4825838 0.4696974 0.4572701 0.4453019 0.4337928 0.4227428 0.4121518
## [15,] 0.4842004 0.4711411 0.4585410 0.4463999 0.4347179 0.4234950 0.4127312
## [16,] 0.4862760 0.4730439 0.4602709 0.4479569 0.4361021 0.4247063 0.4137697
## [17,] 0.4888108 0.4754058 0.4624599 0.4499731 0.4379454 0.4263767 0.4152672
## [18,] 0.4918046 0.4782267 0.4651080 0.4524483 0.4402477 0.4285062 0.4172238
## [19,] 0.4952575 0.4815068 0.4682152 0.4553826 0.4430092 0.4310948 0.4196396
## [20,] 0.4991695 0.4852459 0.4717814 0.4587760 0.4462297 0.4341425 0.4225144
## [21,] 0.5035406 0.4894442 0.4758068 0.4626285 0.4499094 0.4376493 0.4258483
## [22,] 0.5083708 0.4941015 0.4802913 0.4669401 0.4540481 0.4416151 0.4296413
## [23,] 0.5136601 0.4992179 0.4852348 0.4717108 0.4586459 0.4460401 0.4338934
## [24,] 0.5194085 0.5047934 0.4906375 0.4769406 0.4637028 0.4509241 0.4386045
## [25,] 0.5256159 0.5108280 0.4964992 0.4826295 0.4692188 0.4562673 0.4437748
## [26,] 0.5322825 0.5173217 0.5028200 0.4887774 0.4751939 0.4620695 0.4494042
## [27,] 0.5394082 0.5242745 0.5095999 0.4953845 0.4816281 0.4683308 0.4554926
## [28,] 0.5469929 0.5316864 0.5168390 0.5024506 0.4885214 0.4750512 0.4620402
## [29,] 0.5550367 0.5395573 0.5245370 0.5099759 0.4958737 0.4822307 0.4690468
## [30,] 0.5635396 0.5478874 0.5326942 0.5179602 0.5036852 0.4898693 0.4765125
## [31,] 0.5725017 0.5566765 0.5413105 0.5264036 0.5119557 0.4979670 0.4844373
## [32,] 0.5819228 0.5659248 0.5503859 0.5353061 0.5206854 0.5065238 0.4928212
## [33,] 0.5918029 0.5756321 0.5599203 0.5446677 0.5298741 0.5155396 0.5016642
## [34,] 0.6021422 0.5857985 0.5699139 0.5544884 0.5395219 0.5250146 0.5109663
## [35,] 0.6129406 0.5964240 0.5803665 0.5647681 0.5496288 0.5349486 0.5207275
## [36,] 0.6241981 0.6075086 0.5912783 0.5755070 0.5601948 0.5453418 0.5309478
## [37,] 0.6359146 0.6190523 0.6026491 0.5867050 0.5712199 0.5561940 0.5416271
## [38,] 0.6480903 0.6310551 0.6144790 0.5983620 0.5827041 0.5675053 0.5527656
## [39,] 0.6607250 0.6435170 0.6267680 0.6104782 0.5946474 0.5792757 0.5643631
## [40,] 0.6738188 0.6564379 0.6395161 0.6230534 0.6070498 0.5915052 0.5764198
## [41,] 0.6873718 0.6698180 0.6527233 0.6360877 0.6199112 0.6041938 0.5889355
## [42,] 0.7013838 0.6836571 0.6663896 0.6495811 0.6332318 0.6173415 0.6019103
## [43,] 0.7158549 0.6979554 0.6805150 0.6635336 0.6470114 0.6309483 0.6153442
## [44,] 0.7307851 0.7127127 0.6950994 0.6779452 0.6612501 0.6450141 0.6292372
## [45,] 0.7461744 0.7279291 0.7101430 0.6928159 0.6759480 0.6595391 0.6435893
## [46,] 0.7620227 0.7436046 0.7256456 0.7081457 0.6911049 0.6745231 0.6584005
## [47,] 0.7783302 0.7597392 0.7416073 0.7239346 0.7067209 0.6899663 0.6736708
## [48,] 0.7950967 0.7763329 0.7580282 0.7401825 0.7227960 0.7058685 0.6894001
## [49,] 0.8123224 0.7933857 0.7749081 0.7568896 0.7393301 0.7222298 0.7055886
## [50,] 0.8300071 0.8108976 0.7922471 0.7740557 0.7563234 0.7390502 0.7222361
## [51,] 0.8481510 0.8288685 0.8100452 0.7916809 0.7737758 0.7563297 0.7393427
## [52,] 0.8667539 0.8472986 0.8283024 0.8097653 0.7916872 0.7740683 0.7569085
## [53,] 0.8858159 0.8661877 0.8470187 0.8283087 0.8100578 0.7922660 0.7749333
## [54,] 0.9053370 0.8855360 0.8661940 0.8473112 0.8288874 0.8109228 0.7934172
## [55,] 0.9253172 0.9053433 0.8858285 0.8667728 0.8481762 0.8300386 0.8123602
## [56,] 0.9457565 0.9256097 0.9059220 0.8866935 0.8679240 0.8496136 0.8317623
## [57,] 0.9666548 0.9463352 0.9264747 0.9070732 0.8881309 0.8696476 0.8516235
## [58,] 0.9880123 0.9675198 0.9474864 0.9279121 0.9087969 0.8901408 0.8719437
## [59,] 1.0098289 0.9891635 0.9689572 0.9492101 0.9299220 0.9110930 0.8927231
## [60,] 1.0321045 1.0112663 0.9908872 0.9709671 0.9515062 0.9325043 0.9139615
## [61,] 1.0548393 1.0338282 1.0132762 0.9931833 0.9735494 0.9543747 0.9356591
## [62,] 1.0780331 1.0568491 1.0361243 1.0158585 0.9960518 0.9767042 0.9578157
## [63,] 1.1016860 1.0803292 1.0594315 1.0389928 1.0190133 0.9994928 0.9804314
## [64,] 1.1257980 1.1042683 1.0831977 1.0625862 1.0424338 1.0227405 1.0035063
## [65,] 1.1503691 1.1286666 1.1074231 1.0866387 1.0663134 1.0464473 1.0270402
## [66,] 1.1753993 1.1535239 1.1321076 1.1111503 1.0906522 1.0706131 1.0510332
## [67,] 1.2008886 1.1788403 1.1572511 1.1361210 1.1154500 1.0952381 1.0754852
## [68,] 1.2268370 1.2046158 1.1828538 1.1615508 1.1407069 1.1203221 1.1003964
## [69,] 1.2532444 1.2308504 1.2089155 1.1874397 1.1664229 1.1458653 1.1257667
## [70,] 1.2801110 1.2575441 1.2354363 1.2137876 1.1925980 1.1718675 1.1515961
## [71,] 1.3074366 1.2846969 1.2624162 1.2405947 1.2192322 1.1983288 1.1778845
## [72,] 1.3352214 1.3123088 1.2898552 1.2678608 1.2463255 1.2252492 1.2046320
## [73,] 1.3634652 1.3403797 1.3177533 1.2955860 1.2738778 1.2526287 1.2318387
## [74,] 1.3921681 1.3689098 1.3461105 1.3237704 1.3018893 1.2804673 1.2595044
## [75,] 1.4213301 1.3978989 1.3749268 1.3524138 1.3303598 1.3087650 1.2876292
## [76,] 1.4509512 1.4273472 1.4042022 1.3815163 1.3592895 1.3375218 1.3162131
## [77,] 1.4810314 1.4572545 1.4339366 1.4110779 1.3886782 1.3667376 1.3452561
## [78,] 1.5115707 1.4876209 1.4641302 1.4410986 1.4185260 1.3964126 1.3747582
## [79,] 1.5425691 1.5184464 1.4947828 1.4715783 1.4488329 1.4265466 1.4047194
## [80,] 1.5740266 1.5497310 1.5258946 1.5025172 1.4795989 1.4571398 1.4351397
## [81,] 1.6059431 1.5814747 1.5574654 1.5339152 1.5108240 1.4881920 1.4660190
## [82,] 1.6383188 1.6136775 1.5894953 1.5657722 1.5425082 1.5197033 1.4973575
## [83,] 1.6711535 1.6463394 1.6219843 1.5980883 1.5746515 1.5516737 1.5291550
## [84,] 1.7044473 1.6794603 1.6549324 1.6308636 1.6072538 1.5841032 1.5614117
## [85,] 1.7382002 1.7130404 1.6883396 1.6640979 1.6403153 1.6169918 1.5941274
## [86,] 1.7724123 1.7470795 1.7222059 1.6977913 1.6738359 1.6503395 1.6273022
## [87,] 1.8070834 1.7815778 1.7565312 1.7319438 1.7078155 1.6841462 1.6609361
## [88,] 1.8422136 1.8165351 1.7913157 1.7665554 1.7422542 1.7184121 1.6950291
## [89,] 1.8778028 1.8519515 1.8265593 1.8016261 1.7771520 1.7531371 1.7295812
## [90,] 1.9138512 1.8878270 1.8622619 1.8371559 1.8125089 1.7883211 1.7645924
## [91,] 1.9503587 1.9241616 1.8984236 1.8731447 1.8483250 1.8239642 1.8000626
## [92,] 1.9873252 1.9609553 1.9350445 1.9095927 1.8846000 1.8600665 1.8359920
## [93,] 2.0247509 1.9982081 1.9721244 1.9464998 1.9213342 1.8966278 1.8723804
## [94,] 2.0626356 2.0359200 2.0096634 1.9838659 1.9585275 1.9336482 1.9092280
## [95,] 2.1009794 2.0740909 2.0476615 2.0216911 1.9961799 1.9711277 1.9465346
## [96,] 2.1397824 2.1127210 2.0861187 2.0599754 2.0342913 2.0090663 1.9843003
## [97,] 2.1790444 2.1518101 2.1250349 2.0987189 2.0728619 2.0474640 2.0225252
## [98,] 2.2187655 2.1913584 2.1644103 2.1379214 2.1118915 2.0863207 2.0612091
## [99,] 2.2589457 2.2313657 2.2042448 2.1775830 2.1513802 2.1256366 2.1003521
## [100,] 2.2995850 2.2718321 2.2445383 2.2177036 2.1913281 2.1654116 2.1399542
## [,60] [,61] [,62] [,63] [,64] [,65] [,66]
## [1,] 0.4385128 0.4310873 0.4241209 0.4176136 0.4115654 0.4059762 0.4008462
## [2,] 0.4329511 0.4253528 0.4182135 0.4115333 0.4053122 0.3995502 0.3942473
## [3,] 0.4278485 0.4200773 0.4127652 0.4059121 0.3995182 0.3935833 0.3881075
## [4,] 0.4232050 0.4152609 0.4077759 0.4007500 0.3941832 0.3880755 0.3824268
## [5,] 0.4190206 0.4109037 0.4032458 0.3960470 0.3893073 0.3830267 0.3772052
## [6,] 0.4152953 0.4070055 0.3991747 0.3918031 0.3848905 0.3784371 0.3724427
## [7,] 0.4120291 0.4035664 0.3955628 0.3880183 0.3809328 0.3743065 0.3681393
## [8,] 0.4092219 0.4005864 0.3924099 0.3846925 0.3774342 0.3706350 0.3642949
## [9,] 0.4068739 0.3980655 0.3897161 0.3818259 0.3743947 0.3674227 0.3609097
## [10,] 0.4049849 0.3960036 0.3874814 0.3794183 0.3718143 0.3646694 0.3579835
## [11,] 0.4035551 0.3944009 0.3857058 0.3774699 0.3696930 0.3623752 0.3555165
## [12,] 0.4025843 0.3932573 0.3843893 0.3759805 0.3680307 0.3605401 0.3535085
## [13,] 0.4020726 0.3925727 0.3835319 0.3749502 0.3668276 0.3591640 0.3519596
## [14,] 0.4020200 0.3923472 0.3831336 0.3743790 0.3660835 0.3582471 0.3508698
## [15,] 0.4024265 0.3925809 0.3831943 0.3742669 0.3657985 0.3577893 0.3502391
## [16,] 0.4032921 0.3932736 0.3837142 0.3746139 0.3659727 0.3577905 0.3500675
## [17,] 0.4046168 0.3944254 0.3846931 0.3754200 0.3666059 0.3582509 0.3503550
## [18,] 0.4064005 0.3960363 0.3861312 0.3766851 0.3676982 0.3591703 0.3511016
## [19,] 0.4086434 0.3981063 0.3880283 0.3784094 0.3692496 0.3605489 0.3523072
## [20,] 0.4113453 0.4006354 0.3903845 0.3805927 0.3712601 0.3623865 0.3539720
## [21,] 0.4145064 0.4036235 0.3931998 0.3832352 0.3737296 0.3646832 0.3560958
## [22,] 0.4181265 0.4070708 0.3964742 0.3863367 0.3766583 0.3674390 0.3586788
## [23,] 0.4222057 0.4109772 0.4002077 0.3898973 0.3800461 0.3706539 0.3617208
## [24,] 0.4267440 0.4153426 0.4044003 0.3939171 0.3838929 0.3743279 0.3652219
## [25,] 0.4317414 0.4201672 0.4090520 0.3983959 0.3881989 0.3784609 0.3691821
## [26,] 0.4371979 0.4254508 0.4141627 0.4033338 0.3929639 0.3830531 0.3736014
## [27,] 0.4431135 0.4311935 0.4197326 0.4087308 0.3981880 0.3881044 0.3784798
## [28,] 0.4494882 0.4373953 0.4257615 0.4145868 0.4038712 0.3936147 0.3838173
## [29,] 0.4563220 0.4440562 0.4322496 0.4209020 0.4100135 0.3995842 0.3896139
## [30,] 0.4636148 0.4511762 0.4391967 0.4276763 0.4166149 0.4060127 0.3958695
## [31,] 0.4713668 0.4587553 0.4466029 0.4349096 0.4236754 0.4129003 0.4025843
## [32,] 0.4795778 0.4667935 0.4544682 0.4426021 0.4311950 0.4202470 0.4097581
## [33,] 0.4882479 0.4752907 0.4627926 0.4507536 0.4391737 0.4280528 0.4173911
## [34,] 0.4973772 0.4842471 0.4715761 0.4593642 0.4476114 0.4363177 0.4254831
## [35,] 0.5069655 0.4936625 0.4808187 0.4684339 0.4565083 0.4450417 0.4340342
## [36,] 0.5170129 0.5035371 0.4905204 0.4779627 0.4658642 0.4542248 0.4430444
## [37,] 0.5275194 0.5138707 0.5006811 0.4879506 0.4756792 0.4638669 0.4525137
## [38,] 0.5384850 0.5246634 0.5113010 0.4983976 0.4859534 0.4739682 0.4624421
## [39,] 0.5499096 0.5359152 0.5223799 0.5093037 0.4966866 0.4845285 0.4728296
## [40,] 0.5617934 0.5476261 0.5339180 0.5206689 0.5078789 0.4955480 0.4836762
## [41,] 0.5741363 0.5597961 0.5459151 0.5324931 0.5195303 0.5070265 0.4949818
## [42,] 0.5869382 0.5724252 0.5583713 0.5447765 0.5316408 0.5189641 0.5067466
## [43,] 0.6001993 0.5855134 0.5712866 0.5575189 0.5442103 0.5313608 0.5189704
## [44,] 0.6139194 0.5990607 0.5846610 0.5707205 0.5572390 0.5442166 0.5316534
## [45,] 0.6280986 0.6130670 0.5984945 0.5843811 0.5707268 0.5575315 0.5447954
## [46,] 0.6427369 0.6275325 0.6127871 0.5985008 0.5846736 0.5713055 0.5583965
## [47,] 0.6578343 0.6424570 0.6275388 0.6130796 0.5990795 0.5855386 0.5724567
## [48,] 0.6733908 0.6578406 0.6427495 0.6281175 0.6139446 0.6002307 0.5869760
## [49,] 0.6894064 0.6736833 0.6584194 0.6436145 0.6292687 0.6153820 0.6019544
## [50,] 0.7058811 0.6899852 0.6745483 0.6595706 0.6450519 0.6309924 0.6173919
## [51,] 0.7228149 0.7067461 0.6911364 0.6759857 0.6612942 0.6470618 0.6332884
## [52,] 0.7402077 0.7239661 0.7081835 0.6928600 0.6779956 0.6635903 0.6496441
## [53,] 0.7580597 0.7416451 0.7256897 0.7101934 0.6951561 0.6805779 0.6664589
## [54,] 0.7763707 0.7597833 0.7436550 0.7279858 0.7127757 0.6980246 0.6837327
## [55,] 0.7951408 0.7783806 0.7620794 0.7462373 0.7308543 0.7159305 0.7014656
## [56,] 0.8143701 0.7974369 0.7809629 0.7649480 0.7493921 0.7342953 0.7196577
## [57,] 0.8340584 0.8169524 0.8003055 0.7841177 0.7683890 0.7531193 0.7383088
## [58,] 0.8542058 0.8369269 0.8201072 0.8037465 0.7878449 0.7724024 0.7574190
## [59,] 0.8748123 0.8573605 0.8403679 0.8238344 0.8077599 0.7921446 0.7769883
## [60,] 0.8958779 0.8782533 0.8610878 0.8443814 0.8281340 0.8123458 0.7970167
## [61,] 0.9174025 0.8996051 0.8822667 0.8653874 0.8489673 0.8330062 0.8175042
## [62,] 0.9393863 0.9214160 0.9039048 0.8868526 0.8702596 0.8541256 0.8384507
## [63,] 0.9618292 0.9436860 0.9260019 0.9087769 0.8920110 0.8757041 0.8598564
## [64,] 0.9847311 0.9664151 0.9485581 0.9311602 0.9142214 0.8977418 0.8817212
## [65,] 1.0080921 0.9896032 0.9715734 0.9540027 0.9368910 0.9202385 0.9040450
## [66,] 1.0319123 1.0132505 0.9950478 0.9773042 0.9600197 0.9431943 0.9268279
## [67,] 1.0561915 1.0373569 1.0189813 1.0010648 0.9836074 0.9666092 0.9500700
## [68,] 1.0809298 1.0619223 1.0433739 1.0252845 1.0076543 0.9904831 0.9737711
## [69,] 1.1061272 1.0869468 1.0682255 1.0499633 1.0321602 1.0148162 0.9979313
## [70,] 1.1317837 1.1124305 1.0935363 1.0751012 1.0571253 1.0396084 1.0225506
## [71,] 1.1578993 1.1383732 1.1193062 1.1006982 1.0825494 1.0648596 1.0476290
## [72,] 1.1844740 1.1647750 1.1455351 1.1267543 1.1084326 1.0905700 1.0731665
## [73,] 1.2115077 1.1916359 1.1722231 1.1532695 1.1347749 1.1167394 1.0991630
## [74,] 1.2390006 1.2189559 1.1993703 1.1802437 1.1615763 1.1433680 1.1256187
## [75,] 1.2669526 1.2467350 1.2269765 1.2076771 1.1888368 1.1704556 1.1525335
## [76,] 1.2953636 1.2749732 1.2550418 1.2355695 1.2165564 1.1980023 1.1799073
## [77,] 1.3242337 1.3036704 1.2835662 1.2639211 1.2447350 1.2260081 1.2077402
## [78,] 1.3535629 1.3328268 1.3125497 1.2927317 1.2733728 1.2544730 1.2360323
## [79,] 1.3833513 1.3624422 1.3419923 1.3220014 1.3024696 1.2833970 1.2647834
## [80,] 1.4135987 1.3925168 1.3718939 1.3517302 1.3320256 1.3127800 1.2939936
## [81,] 1.4443052 1.4230504 1.4022547 1.3819181 1.3620406 1.3426222 1.3236629
## [82,] 1.4754707 1.4540431 1.4330746 1.4125651 1.3925147 1.3729235 1.3537913
## [83,] 1.5070954 1.4854949 1.4643535 1.4436712 1.4234480 1.4036838 1.3843788
## [84,] 1.5391792 1.5174058 1.4960915 1.4752364 1.4548403 1.4349032 1.4154253
## [85,] 1.5717220 1.5497758 1.5282887 1.5072606 1.4866916 1.4665818 1.4469310
## [86,] 1.6047240 1.5826049 1.5609449 1.5397440 1.5190021 1.4987194 1.4788957
## [87,] 1.6381850 1.6158931 1.5940602 1.5726864 1.5517717 1.5313161 1.5113196
## [88,] 1.6721052 1.6496403 1.6276346 1.6060879 1.5850004 1.5643719 1.5442025
## [89,] 1.7064844 1.6838467 1.6616681 1.6399486 1.6186881 1.5978868 1.5775446
## [90,] 1.7413227 1.7185121 1.6961607 1.6742683 1.6528350 1.6318608 1.6113457
## [91,] 1.7766201 1.7536367 1.7311123 1.7090471 1.6874409 1.6662939 1.6456059
## [92,] 1.8123766 1.7892203 1.7665231 1.7442850 1.7225060 1.7011860 1.6803252
## [93,] 1.8485922 1.8252630 1.8023930 1.7799820 1.7580301 1.7365373 1.7155036
## [94,] 1.8852669 1.8617648 1.8387219 1.8161381 1.7940133 1.7723476 1.7511411
## [95,] 1.9224006 1.8987257 1.8755099 1.8527532 1.8304556 1.8086171 1.7872376
## [96,] 1.9599935 1.9361457 1.9127571 1.8898275 1.8673570 1.8453456 1.8237933
## [97,] 1.9980454 1.9740248 1.9504633 1.9273608 1.9047175 1.8825332 1.8608080
## [98,] 2.0365565 2.0123630 1.9886286 1.9653533 1.9425371 1.9201799 1.8982819
## [99,] 2.0755266 2.0511603 2.0272530 2.0038048 1.9808157 1.9582857 1.9362148
## [100,] 2.1149558 2.0904166 2.0663365 2.0427154 2.0195535 1.9968506 1.9746069
## [,67] [,68] [,69] [,70] [,71] [,72] [,73]
## [1,] 0.3961752 0.3919634 0.3882106 0.3849169 0.3820823 0.3797068 0.3777904
## [2,] 0.3894035 0.3850188 0.3810931 0.3776266 0.3746191 0.3720708 0.3699815
## [3,] 0.3830908 0.3785332 0.3744347 0.3707953 0.3676150 0.3648938 0.3626316
## [4,] 0.3772373 0.3725068 0.3682354 0.3644232 0.3610700 0.3581759 0.3557409
## [5,] 0.3718428 0.3669395 0.3624952 0.3585101 0.3549840 0.3519171 0.3493092
## [6,] 0.3669074 0.3618312 0.3572141 0.3530561 0.3493572 0.3461174 0.3433366
## [7,] 0.3624311 0.3571821 0.3523921 0.3480612 0.3441894 0.3407767 0.3378231
## [8,] 0.3584139 0.3529920 0.3480292 0.3435254 0.3394808 0.3358952 0.3327687
## [9,] 0.3548558 0.3492610 0.3441253 0.3394487 0.3352312 0.3314728 0.3281734
## [10,] 0.3517568 0.3459891 0.3406806 0.3358311 0.3314407 0.3275094 0.3240372
## [11,] 0.3491169 0.3431763 0.3376949 0.3326726 0.3281093 0.3240052 0.3203601
## [12,] 0.3469360 0.3408226 0.3351683 0.3299731 0.3252370 0.3209600 0.3171421
## [13,] 0.3452143 0.3389280 0.3331009 0.3277328 0.3228238 0.3183739 0.3143831
## [14,] 0.3439516 0.3374925 0.3314925 0.3259515 0.3208697 0.3162469 0.3120833
## [15,] 0.3431480 0.3365161 0.3303432 0.3246294 0.3193747 0.3145790 0.3102425
## [16,] 0.3428036 0.3359987 0.3296530 0.3237663 0.3183387 0.3133702 0.3088608
## [17,] 0.3429182 0.3359405 0.3294218 0.3233623 0.3177619 0.3126205 0.3079382
## [18,] 0.3434919 0.3363413 0.3296498 0.3234174 0.3176441 0.3123299 0.3074748
## [19,] 0.3445247 0.3372012 0.3303369 0.3239316 0.3179854 0.3124984 0.3074704
## [20,] 0.3460166 0.3385203 0.3314830 0.3249049 0.3187859 0.3131259 0.3079251
## [21,] 0.3479676 0.3402984 0.3330883 0.3263373 0.3200454 0.3142126 0.3088388
## [22,] 0.3503776 0.3425356 0.3351526 0.3282288 0.3217640 0.3157583 0.3102117
## [23,] 0.3532468 0.3452319 0.3376761 0.3305793 0.3239417 0.3177631 0.3120437
## [24,] 0.3565750 0.3483873 0.3406586 0.3333890 0.3265785 0.3202271 0.3143347
## [25,] 0.3603624 0.3520017 0.3441002 0.3366577 0.3296744 0.3231501 0.3170849
## [26,] 0.3646088 0.3560753 0.3480009 0.3403856 0.3332293 0.3265322 0.3202941
## [27,] 0.3693143 0.3606080 0.3523607 0.3445725 0.3372434 0.3303734 0.3239624
## [28,] 0.3744790 0.3655997 0.3571796 0.3492185 0.3417165 0.3346737 0.3280899
## [29,] 0.3801027 0.3710506 0.3624575 0.3543236 0.3466488 0.3394330 0.3326764
## [30,] 0.3861855 0.3769605 0.3681946 0.3598878 0.3520401 0.3446515 0.3377220
## [31,] 0.3927273 0.3833295 0.3743908 0.3659111 0.3578905 0.3503291 0.3432267
## [32,] 0.3997283 0.3901576 0.3810460 0.3723935 0.3642000 0.3564657 0.3491905
## [33,] 0.4071884 0.3974448 0.3881603 0.3793350 0.3709687 0.3630614 0.3556133
## [34,] 0.4151076 0.4051911 0.3957338 0.3867355 0.3781964 0.3701163 0.3624953
## [35,] 0.4234858 0.4133965 0.4037663 0.3945952 0.3858831 0.3776302 0.3698364
## [36,] 0.4323232 0.4220610 0.4122579 0.4029139 0.3940290 0.3856032 0.3776365
## [37,] 0.4416196 0.4311845 0.4212086 0.4116918 0.4026340 0.3940353 0.3858957
## [38,] 0.4513751 0.4407672 0.4306184 0.4209287 0.4116980 0.4029265 0.3946141
## [39,] 0.4615897 0.4508090 0.4404873 0.4306247 0.4212212 0.4122768 0.4037915
## [40,] 0.4722634 0.4613098 0.4508153 0.4407798 0.4312034 0.4220862 0.4134280
## [41,] 0.4833962 0.4722697 0.4616023 0.4513940 0.4416448 0.4323546 0.4235236
## [42,] 0.4949881 0.4836888 0.4728485 0.4624673 0.4525452 0.4430822 0.4340783
## [43,] 0.5070391 0.4955669 0.4845537 0.4739997 0.4639047 0.4542688 0.4450921
## [44,] 0.5195492 0.5079041 0.4967181 0.4859911 0.4757233 0.4659146 0.4565649
## [45,] 0.5325183 0.5207004 0.5093415 0.4984417 0.4880010 0.4780194 0.4684969
## [46,] 0.5459466 0.5339557 0.5224240 0.5113514 0.5007378 0.4905833 0.4808880
## [47,] 0.5598339 0.5476702 0.5359656 0.5247201 0.5139337 0.5036064 0.4937381
## [48,] 0.5741804 0.5618438 0.5499663 0.5385479 0.5275887 0.5170885 0.5070474
## [49,] 0.5889859 0.5764765 0.5644261 0.5528349 0.5417027 0.5310297 0.5208157
## [50,] 0.6042505 0.5915682 0.5793450 0.5675809 0.5562759 0.5454299 0.5350431
## [51,] 0.6199742 0.6071190 0.5947230 0.5827860 0.5713081 0.5602893 0.5497296
## [52,] 0.6361570 0.6231290 0.6105600 0.5984502 0.5867994 0.5756078 0.5648752
## [53,] 0.6527989 0.6395980 0.6268562 0.6145735 0.6027499 0.5913853 0.5804799
## [54,] 0.6698999 0.6565261 0.6436114 0.6311559 0.6191594 0.6076220 0.5965437
## [55,] 0.6874599 0.6739133 0.6608258 0.6481973 0.6360280 0.6243177 0.6130666
## [56,] 0.7054791 0.6917596 0.6784992 0.6656979 0.6533557 0.6414726 0.6300485
## [57,] 0.7239573 0.7100650 0.6966317 0.6836576 0.6711425 0.6590865 0.6474896
## [58,] 0.7428947 0.7288295 0.7152233 0.7020763 0.6893884 0.6771595 0.6653897
## [59,] 0.7622911 0.7480530 0.7342740 0.7209541 0.7080933 0.6956916 0.6837490
## [60,] 0.7821466 0.7677357 0.7537838 0.7402911 0.7272574 0.7146828 0.7025673
## [61,] 0.8024613 0.7878774 0.7737527 0.7600871 0.7468805 0.7341331 0.7218447
## [62,] 0.8232350 0.8084783 0.7941807 0.7803422 0.7669628 0.7540425 0.7415812
## [63,] 0.8444678 0.8295382 0.8150678 0.8010564 0.7875041 0.7744109 0.7617768
## [64,] 0.8661597 0.8510572 0.8364139 0.8222297 0.8085045 0.7952385 0.7824315
## [65,] 0.8883106 0.8730354 0.8582192 0.8438621 0.8299641 0.8165251 0.8035453
## [66,] 0.9109207 0.8954726 0.8804835 0.8659535 0.8518827 0.8382709 0.8251182
## [67,] 0.9339899 0.9183689 0.9032069 0.8885041 0.8742604 0.8604757 0.8471501
## [68,] 0.9575181 0.9417242 0.9263894 0.9115138 0.8970971 0.8831396 0.8696412
## [69,] 0.9815055 0.9655387 0.9500311 0.9349825 0.9203930 0.9062626 0.8925914
## [70,] 1.0059519 0.9898123 0.9741318 0.9589103 0.9441480 0.9298447 0.9160006
## [71,] 1.0308574 1.0145449 0.9986916 0.9832973 0.9683621 0.9538859 0.9398689
## [72,] 1.0562220 1.0397367 1.0237104 1.0081433 0.9930352 0.9783862 0.9641963
## [73,] 1.0820457 1.0653875 1.0491884 1.0334484 1.0181674 1.0033456 0.9889828
## [74,] 1.1083285 1.0914975 1.0751255 1.0592126 1.0437588 1.0287641 1.0142285
## [75,] 1.1350704 1.1180665 1.1015216 1.0854359 1.0698092 1.0546416 1.0399331
## [76,] 1.1622714 1.1450946 1.1283769 1.1121183 1.0963187 1.0809783 1.0660969
## [77,] 1.1899315 1.1725818 1.1556912 1.1392597 1.1232873 1.1077740 1.0927198
## [78,] 1.2180506 1.2005281 1.1834646 1.1668603 1.1507150 1.1350289 1.1198018
## [79,] 1.2466289 1.2289335 1.2116972 1.1949199 1.1786018 1.1627428 1.1473428
## [80,] 1.2756662 1.2577980 1.2403888 1.2234387 1.2069477 1.1909158 1.1753430
## [81,] 1.3051627 1.2871215 1.2695395 1.2524165 1.2357527 1.2195479 1.2038022
## [82,] 1.3351182 1.3169042 1.2991493 1.2818535 1.2650167 1.2486391 1.2327205
## [83,] 1.3655328 1.3471459 1.3292182 1.3117495 1.2947399 1.2781894 1.2620980
## [84,] 1.3964065 1.3778468 1.3597461 1.3421046 1.3249221 1.3081987 1.2919345
## [85,] 1.4277393 1.4090067 1.3907332 1.3729188 1.3555635 1.3386672 1.3222301
## [86,] 1.4595312 1.4406257 1.4221794 1.4041921 1.3866639 1.3695948 1.3529848
## [87,] 1.4917822 1.4727038 1.4540846 1.4359244 1.4182234 1.4009814 1.3841985
## [88,] 1.5244922 1.5052410 1.4864489 1.4681159 1.4502420 1.4328272 1.4158714
## [89,] 1.5576614 1.5382373 1.5192724 1.5007665 1.4827197 1.4651320 1.4480034
## [90,] 1.5912897 1.5716927 1.5525549 1.5338761 1.5156565 1.4978959 1.4805944
## [91,] 1.6253770 1.6056072 1.5862965 1.5674449 1.5490524 1.5311189 1.5136446
## [92,] 1.6599234 1.6399808 1.6204972 1.6014727 1.5829073 1.5648010 1.5471538
## [93,] 1.6949290 1.6748134 1.6551570 1.6359596 1.6172214 1.5989422 1.5811222
## [94,] 1.7303936 1.7101052 1.6902759 1.6709057 1.6519945 1.6335425 1.6155496
## [95,] 1.7663173 1.7458560 1.7258538 1.7063108 1.6872268 1.6686019 1.6504361
## [96,] 1.8027001 1.7820659 1.7618909 1.7421750 1.7229181 1.7041204 1.6857817
## [97,] 1.8395420 1.8187350 1.7983871 1.7784983 1.7590685 1.7400979 1.7215864
## [98,] 1.8768429 1.8558631 1.8353423 1.8152806 1.7956781 1.7765346 1.7578502
## [99,] 1.9146030 1.8934503 1.8727567 1.8525221 1.8327467 1.8134303 1.7945730
## [100,] 1.9528222 1.9314966 1.9106301 1.8902227 1.8702744 1.8507851 1.8317550
## [,74] [,75] [,76] [,77] [,78] [,79] [,80]
## [1,] 0.3763331 0.3753349 0.3747958 0.3747157 0.3750948 0.3759329 0.3772301
## [2,] 0.3683513 0.3671802 0.3664682 0.3662153 0.3664215 0.3670868 0.3682111
## [3,] 0.3608286 0.3594846 0.3585998 0.3581740 0.3582073 0.3586997 0.3596512
## [4,] 0.3537650 0.3522481 0.3511904 0.3505918 0.3504522 0.3507718 0.3515504
## [5,] 0.3471604 0.3454707 0.3442401 0.3434686 0.3431562 0.3433029 0.3439087
## [6,] 0.3410150 0.3391524 0.3377490 0.3368046 0.3363193 0.3362931 0.3367260
## [7,] 0.3353286 0.3332932 0.3317169 0.3305996 0.3299415 0.3297424 0.3300025
## [8,] 0.3301014 0.3278931 0.3261439 0.3248538 0.3240228 0.3236508 0.3237380
## [9,] 0.3253332 0.3229520 0.3210300 0.3195670 0.3185631 0.3180183 0.3179326
## [10,] 0.3210241 0.3184701 0.3163752 0.3147393 0.3135626 0.3128449 0.3125864
## [11,] 0.3171741 0.3144472 0.3121794 0.3103707 0.3090211 0.3081306 0.3076992
## [12,] 0.3137832 0.3108835 0.3084428 0.3064612 0.3049388 0.3038754 0.3032711
## [13,] 0.3108514 0.3077788 0.3051653 0.3030108 0.3013155 0.3000792 0.2993021
## [14,] 0.3083787 0.3051332 0.3023468 0.3000195 0.2981513 0.2967422 0.2957922
## [15,] 0.3063651 0.3029467 0.2999875 0.2974873 0.2954462 0.2938642 0.2927413
## [16,] 0.3048105 0.3012193 0.2980872 0.2954142 0.2932002 0.2914454 0.2901496
## [17,] 0.3037151 0.2999510 0.2966460 0.2938001 0.2914133 0.2894856 0.2880170
## [18,] 0.3030787 0.2991418 0.2956639 0.2926452 0.2900855 0.2879849 0.2863434
## [19,] 0.3029015 0.2987916 0.2951409 0.2919493 0.2892168 0.2869433 0.2851289
## [20,] 0.3031833 0.2989006 0.2950770 0.2917125 0.2888071 0.2863608 0.2843736
## [21,] 0.3039242 0.2994687 0.2954722 0.2919348 0.2888566 0.2862374 0.2840773
## [22,] 0.3051242 0.3004958 0.2963265 0.2926163 0.2893651 0.2865731 0.2842401
## [23,] 0.3067833 0.3019820 0.2976398 0.2937568 0.2903328 0.2873678 0.2848620
## [24,] 0.3089015 0.3039274 0.2994123 0.2953563 0.2917595 0.2886217 0.2859430
## [25,] 0.3114788 0.3063318 0.3016439 0.2974150 0.2936453 0.2903346 0.2874831
## [26,] 0.3145152 0.3091953 0.3043345 0.2999328 0.2959902 0.2925067 0.2894823
## [27,] 0.3180106 0.3125179 0.3074842 0.3029097 0.2987942 0.2951378 0.2919405
## [28,] 0.3219652 0.3162996 0.3110930 0.3063456 0.3020573 0.2982281 0.2948579
## [29,] 0.3263788 0.3205403 0.3151610 0.3102407 0.3057795 0.3017774 0.2982343
## [30,] 0.3312516 0.3252402 0.3196880 0.3145948 0.3099607 0.3057858 0.3020699
## [31,] 0.3365834 0.3303992 0.3246741 0.3194080 0.3146011 0.3102533 0.3063645
## [32,] 0.3423743 0.3360172 0.3301192 0.3246804 0.3197006 0.3151799 0.3111182
## [33,] 0.3486243 0.3420944 0.3360235 0.3304118 0.3252591 0.3205655 0.3163311
## [34,] 0.3553334 0.3486306 0.3423869 0.3366023 0.3312767 0.3264103 0.3220030
## [35,] 0.3625016 0.3556259 0.3492093 0.3432519 0.3377535 0.3327142 0.3281340
## [36,] 0.3701289 0.3630803 0.3564909 0.3503605 0.3446893 0.3394771 0.3347240
## [37,] 0.3782152 0.3709938 0.3642315 0.3579283 0.3520842 0.3466992 0.3417732
## [38,] 0.3867607 0.3793664 0.3724313 0.3659552 0.3599382 0.3543803 0.3492815
## [39,] 0.3957653 0.3881981 0.3810901 0.3744411 0.3682513 0.3625205 0.3572488
## [40,] 0.4052289 0.3974889 0.3902080 0.3833862 0.3770235 0.3711198 0.3656753
## [41,] 0.4151516 0.4072388 0.3997850 0.3927903 0.3862547 0.3801782 0.3745608
## [42,] 0.4255335 0.4174477 0.4098211 0.4026536 0.3959451 0.3896957 0.3839055
## [43,] 0.4363744 0.4281158 0.4203163 0.4129759 0.4060946 0.3996723 0.3937092
## [44,] 0.4476744 0.4392429 0.4312706 0.4237573 0.4167031 0.4101080 0.4039720
## [45,] 0.4594335 0.4508292 0.4426839 0.4349978 0.4277707 0.4210028 0.4146939
## [46,] 0.4716517 0.4628745 0.4545564 0.4466974 0.4392975 0.4323566 0.4258749
## [47,] 0.4843290 0.4753789 0.4668879 0.4588561 0.4512833 0.4441696 0.4375150
## [48,] 0.4974653 0.4883424 0.4796786 0.4714738 0.4637282 0.4564416 0.4496142
## [49,] 0.5110608 0.5017650 0.4929283 0.4845507 0.4766322 0.4691728 0.4621724
## [50,] 0.5251154 0.5156467 0.5066371 0.4980867 0.4899953 0.4823630 0.4751898
## [51,] 0.5396290 0.5299875 0.5208050 0.5120817 0.5038175 0.4960123 0.4886662
## [52,] 0.5546017 0.5447873 0.5354321 0.5265358 0.5180987 0.5101207 0.5026018
## [53,] 0.5700336 0.5600463 0.5505181 0.5414491 0.5328391 0.5246882 0.5169964
## [54,] 0.5859245 0.5757644 0.5660633 0.5568214 0.5480385 0.5397148 0.5318501
## [55,] 0.6022745 0.5919415 0.5820676 0.5726528 0.5636971 0.5552005 0.5471629
## [56,] 0.6190836 0.6085777 0.5985310 0.5889433 0.5798147 0.5711452 0.5629348
## [57,] 0.6363518 0.6256731 0.6154534 0.6056929 0.5963915 0.5875491 0.5791658
## [58,] 0.6540791 0.6432275 0.6328350 0.6229016 0.6134273 0.6044121 0.5958559
## [59,] 0.6722654 0.6612410 0.6506756 0.6405694 0.6309222 0.6217341 0.6130051
## [60,] 0.6909109 0.6797136 0.6689754 0.6586962 0.6488762 0.6395152 0.6306134
## [61,] 0.7100154 0.6986453 0.6877342 0.6772822 0.6672893 0.6577555 0.6486807
## [62,] 0.7295791 0.7180360 0.7069521 0.6963272 0.6861614 0.6764548 0.6672072
## [63,] 0.7496018 0.7378859 0.7266291 0.7158314 0.7054927 0.6956132 0.6861927
## [64,] 0.7700837 0.7581949 0.7467652 0.7357946 0.7252831 0.7152307 0.7056373
## [65,] 0.7910246 0.7789629 0.7673604 0.7562169 0.7455325 0.7353073 0.7255411
## [66,] 0.8124246 0.8001901 0.7884147 0.7770983 0.7662411 0.7558429 0.7459039
## [67,] 0.8342837 0.8218763 0.8099280 0.7984388 0.7874087 0.7768377 0.7667258
## [68,] 0.8566019 0.8440216 0.8319005 0.8202384 0.8090354 0.7982916 0.7880068
## [69,] 0.8793792 0.8666260 0.8543320 0.8424971 0.8311213 0.8202045 0.8097469
## [70,] 0.9026155 0.8896895 0.8772227 0.8652149 0.8536662 0.8425766 0.8319460
## [71,] 0.9263110 0.9132121 0.9005724 0.8883917 0.8766702 0.8654077 0.8546043
## [72,] 0.9504655 0.9371938 0.9243812 0.9120277 0.9001333 0.8886979 0.8777217
## [73,] 0.9750792 0.9616346 0.9486491 0.9361227 0.9240554 0.9124472 0.9012981
## [74,] 1.0001519 0.9865345 0.9733761 0.9606769 0.9484367 0.9366556 0.9253337
## [75,] 1.0256837 1.0118934 0.9985622 0.9856901 0.9732771 0.9613231 0.9498283
## [76,] 1.0516747 1.0377115 1.0242074 1.0111624 0.9985765 0.9864497 0.9747820
## [77,] 1.0781247 1.0639886 1.0503117 1.0370938 1.0243351 1.0120354 1.0001948
## [78,] 1.1050338 1.0907249 1.0768751 1.0634843 1.0505527 1.0380802 1.0260667
## [79,] 1.1324020 1.1179202 1.1038975 1.0903339 1.0772294 1.0645840 1.0523977
## [80,] 1.1602292 1.1455746 1.1313791 1.1176426 1.1043653 1.0915470 1.0791878
## [81,] 1.1885156 1.1736881 1.1593197 1.1454104 1.1319602 1.1189690 1.1064370
## [82,] 1.2172611 1.2022607 1.1877194 1.1736373 1.1600142 1.1468502 1.1341452
## [83,] 1.2464656 1.2312924 1.2165783 1.2023232 1.1885273 1.1751904 1.1623126
## [84,] 1.2761293 1.2607832 1.2458962 1.2314683 1.2174994 1.2039897 1.1909391
## [85,] 1.3062520 1.2907331 1.2756732 1.2610724 1.2469307 1.2332481 1.2200246
## [86,] 1.3368338 1.3211420 1.3059093 1.2911356 1.2768211 1.2629656 1.2495692
## [87,] 1.3678748 1.3520101 1.3366045 1.3216579 1.3071705 1.2931422 1.2795730
## [88,] 1.3993748 1.3833372 1.3677587 1.3526394 1.3379791 1.3237779 1.3100358
## [89,] 1.4313339 1.4151234 1.3993721 1.3840799 1.3692467 1.3548726 1.3409577
## [90,] 1.4637521 1.4473688 1.4314446 1.4159795 1.4009734 1.3864265 1.3723387
## [91,] 1.4966293 1.4800732 1.4639761 1.4483381 1.4331592 1.4184395 1.4041787
## [92,] 1.5299657 1.5132367 1.4969668 1.4811559 1.4658042 1.4509115 1.4364779
## [93,] 1.5637612 1.5468593 1.5304165 1.5144328 1.4989082 1.4838426 1.4692362
## [94,] 1.5980157 1.5809410 1.5643253 1.5481687 1.5324712 1.5172329 1.5024535
## [95,] 1.6327294 1.6154817 1.5986932 1.5823638 1.5664934 1.5510822 1.5361300
## [96,] 1.6679021 1.6504816 1.6335202 1.6170179 1.6009747 1.5853906 1.5702655
## [97,] 1.7035339 1.6859406 1.6688063 1.6521311 1.6359151 1.6201581 1.6048602
## [98,] 1.7396249 1.7218586 1.7045515 1.6877035 1.6713145 1.6553847 1.6399139
## [99,] 1.7761749 1.7582358 1.7407558 1.7237349 1.7071731 1.6910703 1.6754267
## [100,] 1.8131840 1.7950720 1.7774191 1.7602254 1.7434907 1.7272151 1.7113986
## [,81] [,82] [,83] [,84] [,85] [,86] [,87]
## [1,] 0.3789865 0.3812019 0.3838764 0.3870100 0.3906026 0.3946544 0.3991653
## [2,] 0.3697946 0.3718371 0.3743388 0.3772995 0.3807193 0.3845982 0.3889362
## [3,] 0.3610618 0.3629315 0.3652602 0.3680481 0.3712951 0.3750011 0.3791662
## [4,] 0.3527881 0.3544849 0.3566408 0.3592558 0.3623299 0.3658631 0.3698554
## [5,] 0.3449735 0.3464975 0.3484805 0.3509226 0.3538238 0.3571842 0.3610036
## [6,] 0.3376180 0.3389691 0.3407793 0.3430485 0.3457769 0.3489643 0.3526109
## [7,] 0.3307216 0.3318998 0.3335371 0.3356335 0.3381890 0.3412036 0.3446772
## [8,] 0.3242843 0.3252896 0.3267541 0.3286776 0.3310602 0.3339019 0.3372027
## [9,] 0.3183060 0.3191385 0.3204301 0.3221808 0.3243905 0.3270594 0.3301873
## [10,] 0.3127869 0.3134465 0.3145652 0.3161430 0.3181799 0.3206759 0.3236310
## [11,] 0.3077268 0.3082136 0.3091594 0.3105644 0.3124284 0.3147515 0.3175337
## [12,] 0.3031259 0.3034398 0.3042127 0.3054448 0.3071360 0.3092862 0.3118955
## [13,] 0.2989840 0.2991250 0.2997251 0.3007843 0.3023026 0.3042800 0.3067165
## [14,] 0.2953012 0.2952694 0.2956966 0.2965830 0.2979284 0.2997329 0.3019965
## [15,] 0.2920775 0.2918728 0.2921272 0.2928407 0.2940132 0.2956449 0.2977356
## [16,] 0.2893129 0.2889354 0.2890169 0.2895575 0.2905572 0.2920159 0.2939338
## [17,] 0.2870074 0.2864570 0.2863656 0.2867334 0.2875602 0.2888461 0.2905911
## [18,] 0.2851610 0.2844377 0.2841735 0.2843683 0.2850223 0.2861354 0.2877075
## [19,] 0.2837737 0.2828775 0.2824404 0.2824624 0.2829435 0.2838837 0.2852830
## [20,] 0.2828454 0.2817764 0.2811665 0.2810156 0.2813238 0.2820911 0.2833176
## [21,] 0.2823763 0.2811344 0.2803516 0.2800278 0.2801632 0.2807577 0.2818112
## [22,] 0.2823662 0.2809515 0.2799958 0.2794992 0.2794617 0.2798833 0.2807640
## [23,] 0.2828153 0.2812276 0.2800991 0.2794296 0.2792193 0.2794680 0.2801758
## [24,] 0.2837234 0.2819629 0.2806615 0.2798192 0.2794359 0.2795118 0.2800467
## [25,] 0.2850906 0.2831573 0.2816830 0.2806678 0.2801117 0.2800147 0.2803768
## [26,] 0.2869169 0.2848107 0.2831636 0.2819755 0.2812465 0.2809767 0.2811659
## [27,] 0.2892023 0.2869232 0.2851032 0.2837423 0.2828405 0.2823977 0.2824141
## [28,] 0.2919468 0.2894949 0.2875020 0.2859682 0.2848935 0.2842779 0.2841214
## [29,] 0.2951504 0.2925256 0.2903598 0.2886532 0.2874056 0.2866172 0.2862878
## [30,] 0.2988131 0.2960154 0.2936768 0.2917973 0.2903768 0.2894155 0.2889133
## [31,] 0.3029349 0.2999643 0.2974528 0.2954004 0.2938071 0.2926729 0.2919978
## [32,] 0.3075157 0.3043723 0.3016879 0.2994627 0.2976965 0.2963895 0.2955415
## [33,] 0.3125557 0.3092394 0.3063822 0.3039840 0.3020450 0.3005651 0.2995442
## [34,] 0.3180547 0.3145655 0.3115355 0.3089645 0.3068526 0.3051998 0.3040061
## [35,] 0.3240128 0.3203508 0.3171479 0.3144040 0.3121193 0.3102936 0.3089270
## [36,] 0.3304301 0.3265952 0.3232193 0.3203026 0.3178450 0.3158465 0.3143070
## [37,] 0.3373064 0.3332986 0.3297499 0.3266603 0.3240299 0.3218585 0.3201461
## [38,] 0.3446418 0.3404611 0.3367396 0.3334771 0.3306738 0.3283295 0.3264444
## [39,] 0.3524363 0.3480828 0.3441884 0.3407530 0.3377768 0.3352597 0.3332017
## [40,] 0.3606898 0.3561635 0.3520962 0.3484880 0.3453389 0.3426489 0.3404180
## [41,] 0.3694025 0.3647033 0.3604632 0.3566821 0.3533602 0.3504973 0.3480935
## [42,] 0.3785743 0.3737022 0.3692892 0.3653353 0.3618405 0.3588047 0.3562281
## [43,] 0.3882051 0.3831602 0.3785743 0.3744475 0.3707798 0.3675713 0.3648217
## [44,] 0.3982951 0.3930773 0.3883185 0.3840189 0.3801783 0.3767969 0.3738745
## [45,] 0.4088441 0.4034534 0.3985218 0.3940493 0.3900359 0.3864816 0.3833863
## [46,] 0.4198522 0.4142887 0.4091842 0.4045389 0.4003526 0.3966254 0.3933573
## [47,] 0.4313195 0.4255830 0.4203057 0.4154875 0.4111283 0.4072283 0.4037873
## [48,] 0.4432458 0.4373365 0.4318863 0.4268952 0.4223632 0.4182902 0.4146764
## [49,] 0.4556312 0.4495490 0.4439260 0.4387620 0.4340571 0.4298113 0.4260246
## [50,] 0.4684757 0.4622207 0.4564247 0.4510879 0.4462101 0.4417915 0.4378319
## [51,] 0.4817793 0.4753514 0.4693826 0.4638729 0.4588223 0.4542307 0.4500983
## [52,] 0.4955419 0.4889412 0.4827995 0.4771169 0.4718935 0.4671291 0.4628238
## [53,] 0.5097637 0.5029901 0.4966756 0.4908201 0.4854238 0.4804865 0.4760084
## [54,] 0.5244446 0.5174981 0.5110107 0.5049824 0.4994132 0.4943030 0.4896520
## [55,] 0.5395845 0.5324651 0.5258049 0.5196037 0.5138616 0.5085787 0.5037548
## [56,] 0.5551835 0.5478913 0.5410582 0.5346842 0.5287692 0.5233134 0.5183166
## [57,] 0.5712417 0.5637766 0.5567706 0.5502237 0.5441359 0.5385072 0.5333375
## [58,] 0.5877589 0.5801209 0.5729421 0.5662223 0.5599616 0.5541601 0.5488176
## [59,] 0.6047352 0.5969244 0.5895727 0.5826800 0.5762465 0.5702720 0.5647567
## [60,] 0.6221706 0.6141869 0.6066623 0.5995968 0.5929904 0.5868431 0.5811549
## [61,] 0.6400651 0.6319085 0.6242111 0.6169727 0.6101935 0.6038733 0.5980122
## [62,] 0.6584187 0.6500893 0.6422189 0.6348077 0.6278556 0.6213625 0.6153286
## [63,] 0.6772313 0.6687291 0.6606859 0.6531018 0.6459768 0.6393109 0.6331040
## [64,] 0.6965031 0.6878280 0.6796119 0.6718550 0.6645571 0.6577183 0.6513386
## [65,] 0.7162340 0.7073860 0.6989970 0.6910672 0.6835965 0.6765848 0.6700323
## [66,] 0.7364239 0.7274030 0.7188413 0.7107386 0.7030950 0.6959105 0.6891850
## [67,] 0.7570730 0.7478792 0.7391446 0.7308690 0.7230525 0.7156952 0.7087969
## [68,] 0.7781811 0.7688145 0.7599070 0.7514585 0.7434692 0.7359390 0.7288678
## [69,] 0.7997483 0.7902088 0.7811284 0.7725072 0.7643450 0.7566418 0.7493978
## [70,] 0.8217746 0.8120623 0.8028090 0.7940149 0.7856798 0.7778038 0.7703869
## [71,] 0.8442600 0.8343748 0.8249487 0.8159817 0.8074737 0.7994249 0.7918352
## [72,] 0.8672045 0.8571464 0.8475475 0.8384076 0.8297268 0.8215051 0.8137424
## [73,] 0.8906081 0.8803772 0.8706053 0.8612926 0.8524389 0.8440443 0.8361088
## [74,] 0.9144708 0.9040670 0.8941222 0.8846366 0.8756101 0.8670427 0.8589343
## [75,] 0.9387925 0.9282159 0.9180983 0.9084398 0.8992404 0.8905001 0.8822189
## [76,] 0.9635734 0.9528239 0.9425334 0.9327021 0.9233298 0.9144166 0.9059625
## [77,] 0.9888133 0.9778909 0.9674276 0.9574234 0.9478783 0.9387922 0.9301653
## [78,] 1.0145124 1.0034171 0.9927809 0.9826038 0.9728859 0.9636269 0.9548271
## [79,] 1.0406705 1.0294024 1.0185933 1.0082434 0.9983525 0.9889207 0.9799481
## [80,] 1.0672877 1.0558467 1.0448648 1.0343420 1.0242783 1.0146736 1.0055281
## [81,] 1.0943640 1.0827502 1.0715954 1.0608997 1.0506631 1.0408856 1.0315672
## [82,] 1.1218994 1.1101127 1.0987851 1.0879165 1.0775071 1.0675567 1.0580654
## [83,] 1.1498939 1.1379343 1.1264338 1.1153924 1.1048101 1.0946869 1.0850227
## [84,] 1.1783475 1.1662150 1.1545417 1.1433274 1.1325722 1.1222761 1.1124391
## [85,] 1.2072602 1.1949549 1.1831086 1.1717215 1.1607934 1.1503245 1.1403146
## [86,] 1.2366319 1.2241538 1.2121346 1.2005746 1.1894737 1.1788319 1.1686491
## [87,] 1.2664628 1.2538117 1.2416198 1.2298869 1.2186131 1.2077984 1.1974428
## [88,] 1.2967527 1.2839288 1.2715640 1.2596582 1.2482116 1.2372240 1.2266956
## [89,] 1.3275018 1.3145050 1.3019673 1.2898887 1.2782692 1.2671087 1.2564074
## [90,] 1.3587099 1.3455403 1.3328297 1.3205782 1.3087858 1.2974525 1.2865783
## [91,] 1.3903771 1.3770346 1.3641512 1.3517268 1.3397616 1.3282554 1.3172084
## [92,] 1.4225034 1.4089881 1.3959318 1.3833346 1.3711964 1.3595174 1.3482975
## [93,] 1.4550888 1.4414006 1.4281714 1.4154014 1.4030904 1.3912385 1.3798457
## [94,] 1.4881333 1.4742722 1.4608702 1.4479272 1.4354434 1.4234186 1.4118530
## [95,] 1.5216369 1.5076029 1.4940280 1.4809122 1.4682555 1.4560579 1.4443194
## [96,] 1.5555996 1.5413927 1.5276450 1.5143563 1.5015267 1.4891562 1.4772448
## [97,] 1.5900214 1.5756416 1.5617210 1.5482595 1.5352570 1.5227137 1.5106294
## [98,] 1.6249022 1.6103496 1.5962561 1.5826217 1.5694464 1.5567302 1.5444731
## [99,] 1.6602422 1.6455167 1.6312504 1.6174431 1.6040949 1.5912058 1.5787758
## [100,] 1.6960412 1.6811429 1.6667037 1.6527235 1.6392025 1.6261405 1.6135377
## [,88] [,89] [,90] [,91] [,92] [,93] [,94]
## [1,] 0.4041352 0.4095643 0.4154524 0.4217996 0.4286060 0.4358714 0.4435959
## [2,] 0.3937333 0.3989895 0.4047048 0.4108791 0.4175126 0.4246051 0.4321568
## [3,] 0.3837905 0.3888738 0.3944162 0.4004177 0.4068783 0.4137979 0.4211767
## [4,] 0.3743067 0.3792172 0.3845867 0.3904153 0.3967031 0.4034499 0.4106558
## [5,] 0.3652821 0.3700196 0.3752163 0.3808721 0.3869869 0.3935609 0.4005939
## [6,] 0.3567165 0.3612812 0.3663050 0.3717879 0.3777299 0.3841310 0.3909911
## [7,] 0.3486100 0.3530019 0.3578528 0.3631628 0.3689320 0.3751602 0.3818475
## [8,] 0.3409626 0.3451816 0.3498597 0.3549968 0.3605931 0.3666485 0.3731629
## [9,] 0.3337743 0.3378204 0.3423256 0.3472900 0.3527133 0.3585958 0.3649374
## [10,] 0.3270451 0.3309184 0.3352507 0.3400421 0.3452927 0.3510023 0.3571710
## [11,] 0.3207750 0.3244754 0.3286349 0.3332534 0.3383311 0.3438678 0.3498637
## [12,] 0.3149640 0.3184915 0.3224781 0.3269238 0.3318286 0.3371925 0.3430155
## [13,] 0.3096120 0.3129667 0.3167804 0.3210533 0.3257852 0.3309762 0.3366263
## [14,] 0.3047192 0.3079010 0.3115419 0.3156418 0.3202009 0.3252191 0.3306963
## [15,] 0.3002855 0.3032944 0.3067624 0.3106895 0.3150757 0.3199210 0.3252254
## [16,] 0.2963108 0.2991468 0.3024420 0.3061962 0.3104096 0.3150820 0.3202135
## [17,] 0.2927952 0.2954584 0.2985807 0.3021621 0.3062025 0.3107021 0.3156607
## [18,] 0.2897387 0.2922291 0.2951785 0.2985870 0.3024546 0.3067813 0.3115671
## [19,] 0.2871414 0.2894588 0.2922354 0.2954710 0.2991657 0.3033196 0.3079325
## [20,] 0.2850031 0.2871477 0.2897513 0.2928141 0.2963360 0.3003169 0.3047570
## [21,] 0.2833239 0.2852956 0.2877264 0.2906163 0.2939653 0.2977734 0.3020406
## [22,] 0.2821037 0.2839026 0.2861606 0.2888776 0.2920537 0.2956890 0.2997833
## [23,] 0.2813427 0.2829687 0.2850538 0.2875980 0.2906012 0.2940636 0.2979851
## [24,] 0.2810408 0.2824939 0.2844061 0.2867774 0.2896079 0.2928973 0.2966459
## [25,] 0.2811979 0.2824782 0.2842176 0.2864160 0.2890735 0.2921902 0.2957659
## [26,] 0.2818142 0.2829216 0.2844881 0.2865137 0.2889983 0.2919421 0.2953449
## [27,] 0.2828895 0.2838241 0.2852177 0.2870704 0.2893822 0.2921531 0.2953831
## [28,] 0.2844240 0.2851856 0.2864064 0.2880862 0.2902252 0.2928232 0.2958803
## [29,] 0.2864175 0.2870063 0.2880542 0.2895612 0.2915272 0.2939524 0.2968367
## [30,] 0.2888701 0.2892860 0.2901611 0.2914952 0.2932884 0.2955407 0.2982521
## [31,] 0.2917818 0.2920249 0.2927270 0.2938883 0.2955086 0.2975881 0.3001266
## [32,] 0.2951526 0.2952228 0.2957521 0.2967405 0.2981880 0.3000945 0.3024602
## [33,] 0.2989825 0.2988798 0.2992362 0.3000518 0.3013264 0.3030601 0.3052529
## [34,] 0.3032715 0.3029959 0.3031795 0.3038221 0.3049239 0.3064847 0.3085046
## [35,] 0.3080195 0.3075711 0.3075818 0.3080516 0.3089805 0.3103685 0.3122155
## [36,] 0.3132267 0.3126054 0.3124433 0.3127402 0.3134962 0.3147113 0.3163855
## [37,] 0.3188929 0.3180988 0.3177638 0.3178878 0.3184710 0.3195132 0.3210145
## [38,] 0.3250183 0.3240513 0.3235434 0.3234946 0.3239048 0.3247742 0.3261027
## [39,] 0.3316027 0.3304628 0.3297821 0.3295604 0.3297978 0.3304943 0.3316499
## [40,] 0.3386462 0.3373335 0.3364799 0.3360853 0.3361499 0.3366735 0.3376562
## [41,] 0.3461488 0.3446632 0.3436367 0.3430693 0.3429610 0.3433118 0.3441217
## [42,] 0.3541105 0.3524521 0.3512527 0.3505124 0.3502313 0.3504092 0.3510462
## [43,] 0.3625313 0.3607000 0.3593278 0.3584146 0.3579606 0.3579656 0.3584298
## [44,] 0.3714112 0.3694070 0.3678619 0.3667759 0.3661490 0.3659812 0.3662725
## [45,] 0.3807502 0.3785731 0.3768552 0.3755963 0.3747965 0.3744558 0.3745742
## [46,] 0.3905483 0.3881983 0.3863075 0.3848758 0.3839031 0.3833896 0.3833351
## [47,] 0.4008054 0.3982826 0.3962189 0.3946143 0.3934688 0.3927824 0.3925551
## [48,] 0.4115217 0.4088260 0.4065895 0.4048120 0.4034936 0.4026343 0.4022341
## [49,] 0.4226970 0.4198285 0.4174191 0.4154687 0.4139775 0.4129453 0.4123723
## [50,] 0.4343314 0.4312901 0.4287078 0.4265846 0.4249205 0.4237154 0.4229695
## [51,] 0.4464250 0.4432107 0.4404556 0.4381595 0.4363225 0.4349446 0.4340258
## [52,] 0.4589776 0.4555905 0.4526624 0.4501935 0.4481837 0.4466329 0.4455412
## [53,] 0.4719893 0.4684293 0.4653284 0.4626866 0.4605039 0.4587803 0.4575158
## [54,] 0.4854601 0.4817272 0.4784535 0.4756388 0.4732832 0.4713867 0.4699494
## [55,] 0.4993900 0.4954842 0.4920376 0.4890501 0.4865217 0.4844523 0.4828420
## [56,] 0.5137789 0.5097004 0.5060809 0.5029205 0.5002192 0.4979770 0.4961938
## [57,] 0.5286270 0.5243756 0.5205832 0.5172499 0.5143758 0.5119607 0.5100047
## [58,] 0.5439342 0.5395099 0.5355446 0.5320385 0.5289915 0.5264035 0.5242747
## [59,] 0.5597004 0.5551032 0.5509651 0.5472862 0.5440663 0.5413054 0.5390037
## [60,] 0.5759258 0.5711557 0.5668448 0.5629929 0.5596001 0.5566664 0.5541919
## [61,] 0.5926102 0.5876673 0.5831835 0.5791587 0.5755931 0.5724865 0.5698391
## [62,] 0.6097537 0.6046379 0.5999812 0.5957837 0.5920452 0.5887657 0.5859454
## [63,] 0.6273563 0.6220677 0.6172381 0.6128677 0.6089563 0.6055040 0.6025108
## [64,] 0.6454180 0.6399565 0.6349541 0.6304108 0.6263265 0.6227014 0.6195353
## [65,] 0.6639388 0.6583044 0.6531292 0.6484130 0.6441559 0.6403579 0.6370189
## [66,] 0.6829187 0.6771115 0.6717633 0.6668743 0.6624443 0.6584734 0.6549616
## [67,] 0.7023577 0.6963776 0.6908566 0.6857946 0.6811918 0.6770481 0.6733634
## [68,] 0.7222557 0.7161028 0.7104089 0.7051741 0.7003984 0.6960818 0.6922243
## [69,] 0.7426129 0.7362871 0.7304203 0.7250127 0.7200641 0.7155746 0.7115443
## [70,] 0.7634292 0.7569305 0.7508908 0.7453103 0.7401889 0.7355266 0.7313233
## [71,] 0.7847045 0.7780329 0.7718204 0.7660671 0.7607728 0.7559376 0.7515614
## [72,] 0.8064389 0.7995945 0.7932091 0.7872829 0.7818157 0.7768077 0.7722587
## [73,] 0.8286324 0.8216151 0.8150569 0.8089578 0.8033178 0.7981369 0.7934150
## [74,] 0.8512851 0.8440949 0.8373638 0.8310918 0.8252789 0.8199251 0.8150304
## [75,] 0.8743968 0.8670337 0.8601298 0.8536849 0.8476992 0.8421725 0.8371049
## [76,] 0.8979676 0.8904317 0.8833549 0.8767371 0.8705785 0.8648790 0.8596385
## [77,] 0.9219974 0.9142887 0.9070390 0.9002484 0.8939169 0.8880445 0.8826312
## [78,] 0.9464864 0.9386048 0.9311823 0.9242188 0.9177144 0.9116692 0.9060830
## [79,] 0.9714345 0.9633800 0.9557846 0.9486483 0.9419711 0.9357529 0.9299939
## [80,] 0.9968416 0.9886143 0.9808460 0.9735368 0.9666867 0.9602957 0.9543638
## [81,] 1.0227079 1.0143077 1.0063665 0.9988845 0.9918615 0.9852977 0.9791929
## [82,] 1.0490332 1.0404601 1.0323461 1.0246912 1.0174954 1.0107587 1.0044810
## [83,] 1.0758177 1.0670717 1.0587848 1.0509571 1.0435884 1.0366788 1.0302283
## [84,] 1.1030612 1.0941424 1.0856826 1.0776820 1.0701404 1.0630580 1.0564346
## [85,] 1.1307638 1.1216721 1.1130395 1.1048660 1.0971516 1.0898963 1.0831000
## [86,] 1.1589255 1.1496609 1.1408555 1.1325091 1.1246218 1.1171936 1.1102245
## [87,] 1.1875463 1.1781089 1.1691305 1.1606113 1.1525512 1.1449501 1.1378081
## [88,] 1.2166262 1.2070159 1.1978647 1.1891726 1.1809396 1.1731656 1.1658508
## [89,] 1.2461652 1.2363820 1.2270579 1.2181930 1.2097871 1.2018403 1.1943526
## [90,] 1.2761632 1.2662072 1.2567103 1.2476724 1.2390937 1.2309740 1.2233135
## [91,] 1.3066204 1.2964915 1.2868217 1.2776110 1.2688594 1.2605669 1.2527334
## [92,] 1.3375366 1.3272349 1.3173922 1.3080086 1.2990842 1.2906188 1.2826125
## [93,] 1.3689120 1.3584374 1.3484218 1.3388654 1.3297680 1.3211298 1.3129506
## [94,] 1.4007464 1.3900989 1.3799105 1.3701812 1.3609110 1.3520999 1.3437479
## [95,] 1.4330399 1.4222196 1.4118583 1.4019561 1.3925131 1.3835291 1.3750042
## [96,] 1.4657925 1.4547993 1.4442652 1.4341902 1.4245742 1.4154174 1.4067196
## [97,] 1.4990042 1.4878382 1.4771312 1.4668833 1.4570945 1.4477647 1.4388941
## [98,] 1.5326750 1.5213361 1.5104562 1.5000355 1.4900738 1.4805712 1.4715277
## [99,] 1.5668049 1.5552931 1.5442404 1.5336468 1.5235122 1.5138368 1.5046204
## [100,] 1.6013939 1.5897092 1.5784836 1.5677171 1.5574097 1.5475614 1.5381722
## [,95] [,96] [,97] [,98] [,99] [,100]
## [1,] 0.4517795 0.4604222 0.4695239 0.4790848 0.4891048 0.4995838
## [2,] 0.4401675 0.4486373 0.4575662 0.4669542 0.4768013 0.4871075
## [3,] 0.4290146 0.4373115 0.4460676 0.4552827 0.4649569 0.4750902
## [4,] 0.4183208 0.4264448 0.4350280 0.4440703 0.4535717 0.4635321
## [5,] 0.4080860 0.4160373 0.4244476 0.4333170 0.4426455 0.4524330
## [6,] 0.3983104 0.4060888 0.4143262 0.4230227 0.4321784 0.4417931
## [7,] 0.3889939 0.3965994 0.4046639 0.4131876 0.4221704 0.4316122
## [8,] 0.3801364 0.3875690 0.3954608 0.4038116 0.4126215 0.4218904
## [9,] 0.3717381 0.3789978 0.3867167 0.3948946 0.4035316 0.4126278
## [10,] 0.3637988 0.3708857 0.3784317 0.3864367 0.3949009 0.4038242
## [11,] 0.3563186 0.3632326 0.3706058 0.3784380 0.3867293 0.3954797
## [12,] 0.3492975 0.3560387 0.3632389 0.3708983 0.3790167 0.3875942
## [13,] 0.3427355 0.3493038 0.3563312 0.3638177 0.3717633 0.3801679
## [14,] 0.3366326 0.3430281 0.3498826 0.3571962 0.3649689 0.3732007
## [15,] 0.3309888 0.3372114 0.3438930 0.3510338 0.3586336 0.3666925
## [16,] 0.3258041 0.3318538 0.3383626 0.3453305 0.3527574 0.3606435
## [17,] 0.3210785 0.3269553 0.3332912 0.3400862 0.3473403 0.3550535
## [18,] 0.3168119 0.3225159 0.3286790 0.3353011 0.3423823 0.3499227
## [19,] 0.3130045 0.3185356 0.3245258 0.3309750 0.3378834 0.3452509
## [20,] 0.3096561 0.3150144 0.3208317 0.3271081 0.3338436 0.3410382
## [21,] 0.3067669 0.3119522 0.3175967 0.3237002 0.3302629 0.3372846
## [22,] 0.3043367 0.3093492 0.3148208 0.3207515 0.3271412 0.3339901
## [23,] 0.3023656 0.3072052 0.3125040 0.3182618 0.3244787 0.3311547
## [24,] 0.3008536 0.3055204 0.3106462 0.3162312 0.3222752 0.3287784
## [25,] 0.2998007 0.3042946 0.3092476 0.3146597 0.3205309 0.3268611
## [26,] 0.2992069 0.3035279 0.3083081 0.3135473 0.3192456 0.3254030
## [27,] 0.2990722 0.3032203 0.3078276 0.3128940 0.3184194 0.3244039
## [28,] 0.2993965 0.3033718 0.3078062 0.3126997 0.3180523 0.3238640
## [29,] 0.3001800 0.3039824 0.3082440 0.3129646 0.3181443 0.3237831
## [30,] 0.3014226 0.3050521 0.3091408 0.3136885 0.3186954 0.3241613
## [31,] 0.3031242 0.3065809 0.3104967 0.3148716 0.3197056 0.3249986
## [32,] 0.3052849 0.3085688 0.3123117 0.3165137 0.3211748 0.3262950
## [33,] 0.3079048 0.3110157 0.3145858 0.3186149 0.3231032 0.3280505
## [34,] 0.3109837 0.3139218 0.3173190 0.3211753 0.3254906 0.3302651
## [35,] 0.3145217 0.3172869 0.3205112 0.3241947 0.3283372 0.3329388
## [36,] 0.3185188 0.3211111 0.3241626 0.3276732 0.3316428 0.3360716
## [37,] 0.3229750 0.3253945 0.3282731 0.3316108 0.3354075 0.3396634
## [38,] 0.3278902 0.3301369 0.3328426 0.3360074 0.3396314 0.3437144
## [39,] 0.3332646 0.3353384 0.3378713 0.3408632 0.3443143 0.3482244
## [40,] 0.3390981 0.3409990 0.3433590 0.3461781 0.3494563 0.3531935
## [41,] 0.3453906 0.3471187 0.3493058 0.3519520 0.3550573 0.3586218
## [42,] 0.3521423 0.3536974 0.3557117 0.3581851 0.3611175 0.3645091
## [43,] 0.3593530 0.3607353 0.3625767 0.3648772 0.3676368 0.3708555
## [44,] 0.3670228 0.3682323 0.3699008 0.3720284 0.3746152 0.3776610
## [45,] 0.3751517 0.3761883 0.3776840 0.3796388 0.3820526 0.3849256
## [46,] 0.3837397 0.3846035 0.3859263 0.3877082 0.3899491 0.3926492
## [47,] 0.3927868 0.3934777 0.3946276 0.3962367 0.3983048 0.4008320
## [48,] 0.4022930 0.4028110 0.4037881 0.4052242 0.4071195 0.4094739
## [49,] 0.4122583 0.4126034 0.4134076 0.4146709 0.4163933 0.4185748
## [50,] 0.4226827 0.4228549 0.4234863 0.4245767 0.4261262 0.4281348
## [51,] 0.4335661 0.4335655 0.4340240 0.4349416 0.4363182 0.4381540
## [52,] 0.4449087 0.4447352 0.4450208 0.4457655 0.4469693 0.4486322
## [53,] 0.4567103 0.4563640 0.4564767 0.4570486 0.4580795 0.4595695
## [54,] 0.4689711 0.4684518 0.4683917 0.4687907 0.4696488 0.4709659
## [55,] 0.4816909 0.4809988 0.4807658 0.4809919 0.4816771 0.4828214
## [56,] 0.4948698 0.4940049 0.4935990 0.4936522 0.4941646 0.4951360
## [57,] 0.5085078 0.5074700 0.5068913 0.5067716 0.5071111 0.5079097
## [58,] 0.5226049 0.5213942 0.5206426 0.5203501 0.5205167 0.5211424
## [59,] 0.5371611 0.5357775 0.5348531 0.5343877 0.5343815 0.5348343
## [60,] 0.5521764 0.5506200 0.5495226 0.5488844 0.5487053 0.5489852
## [61,] 0.5676507 0.5659215 0.5646513 0.5638402 0.5634882 0.5635953
## [62,] 0.5835842 0.5816821 0.5802390 0.5792551 0.5787302 0.5786644
## [63,] 0.5999767 0.5979017 0.5962858 0.5951290 0.5944313 0.5941926
## [64,] 0.6168284 0.6145805 0.6127917 0.6114620 0.6105915 0.6101799
## [65,] 0.6341391 0.6317184 0.6297567 0.6282542 0.6272107 0.6266263
## [66,] 0.6519089 0.6493153 0.6471808 0.6455054 0.6442891 0.6435318
## [67,] 0.6701379 0.6673714 0.6650640 0.6632157 0.6618265 0.6608964
## [68,] 0.6888259 0.6858865 0.6834063 0.6813851 0.6798231 0.6787201
## [69,] 0.7079730 0.7048608 0.7022077 0.7000136 0.6982787 0.6970029
## [70,] 0.7275791 0.7242941 0.7214681 0.7191012 0.7171934 0.7157447
## [71,] 0.7476444 0.7441865 0.7411877 0.7386479 0.7365672 0.7349457
## [72,] 0.7681688 0.7645380 0.7613663 0.7586537 0.7564002 0.7546057
## [73,] 0.7891523 0.7853486 0.7820040 0.7791185 0.7766921 0.7747248
## [74,] 0.8105948 0.8066183 0.8031008 0.8000425 0.7974432 0.7953031
## [75,] 0.8324965 0.8283471 0.8246568 0.8214255 0.8186534 0.8163404
## [76,] 0.8548572 0.8505349 0.8466718 0.8432677 0.8403227 0.8378368
## [77,] 0.8776770 0.8731819 0.8691458 0.8655689 0.8624510 0.8597923
## [78,] 0.9009559 0.8962879 0.8920790 0.8883292 0.8850385 0.8822069
## [79,] 0.9246939 0.9198531 0.9154713 0.9115486 0.9080850 0.9050805
## [80,] 0.9488910 0.9438773 0.9393227 0.9352271 0.9315907 0.9284133
## [81,] 0.9735472 0.9683606 0.9636331 0.9593647 0.9555554 0.9522052
## [82,] 0.9986625 0.9933030 0.9884027 0.9839614 0.9799792 0.9764561
## [83,] 1.0242369 1.0187045 1.0136313 1.0090172 1.0048621 1.0011662
## [84,] 1.0502703 1.0445651 1.0393190 1.0345320 1.0302041 1.0263353
## [85,] 1.0767629 1.0708848 1.0654659 1.0605060 1.0560052 1.0519635
## [86,] 1.1037145 1.0976636 1.0920718 1.0869390 1.0822654 1.0780508
## [87,] 1.1311252 1.1249015 1.1191368 1.1138312 1.1089846 1.1045972
## [88,] 1.1589951 1.1525984 1.1466609 1.1411824 1.1361630 1.1316027
## [89,] 1.1873240 1.1807545 1.1746440 1.1689927 1.1638005 1.1590673
## [90,] 1.2161120 1.2093696 1.2030863 1.1972621 1.1918970 1.1869910
## [91,] 1.2453591 1.2384438 1.2319877 1.2259906 1.2204526 1.2153737
## [92,] 1.2750653 1.2679772 1.2613481 1.2551782 1.2494674 1.2442156
## [93,] 1.3052306 1.2979696 1.2911677 1.2848249 1.2789412 1.2735166
## [94,] 1.3358549 1.3284211 1.3214463 1.3149307 1.3088741 1.3032766
## [95,] 1.3669384 1.3593317 1.3521840 1.3454955 1.3392661 1.3334957
## [96,] 1.3984809 1.3907014 1.3833809 1.3765195 1.3701172 1.3641739
## [97,] 1.4304826 1.4225301 1.4150368 1.4080025 1.4014273 1.3953113
## [98,] 1.4629433 1.4548180 1.4471518 1.4399447 1.4331966 1.4269077
## [99,] 1.4958631 1.4875650 1.4797259 1.4723459 1.4654250 1.4589632
## [100,] 1.5292421 1.5207710 1.5127591 1.5052062 1.4981124 1.4914777
contour(beta1, beta2, mse_grid, levels = seq(0, 2, by = 0.2), xlab = "beta1", ylab = beta2, main = "MSE contour plot")
points(mle_coef[1], mle_coef[2], col = "red", pch = 16)
points(lasso_coef[1], lasso_coef[2], col = "blue", pch = 16)
abline(h = 0, v = 0, lty = 2, col = "grey")
