Μέθοδος Cart

Φόρτωση βιβλιοθηκών

library(caTools)
## Warning: package 'caTools' was built under R version 4.5.3
library(rpart)
library(rpart.plot)
## Warning: package 'rpart.plot' was built under R version 4.5.3
library(ROCR)
## Warning: package 'ROCR' was built under R version 4.5.3


Παρουσίαση του dataset

loan_data <- read.csv("loan_data.csv")
str(loan_data)
## 'data.frame':    45000 obs. of  14 variables:
##  $ person_age                    : num  22 21 25 23 24 21 26 24 24 21 ...
##  $ person_gender                 : chr  "female" "female" "female" "female" ...
##  $ person_education              : chr  "Master" "High School" "High School" "Bachelor" ...
##  $ person_income                 : num  71948 12282 12438 79753 66135 ...
##  $ person_emp_exp                : int  0 0 3 0 1 0 1 5 3 0 ...
##  $ person_home_ownership         : chr  "RENT" "OWN" "MORTGAGE" "RENT" ...
##  $ loan_amnt                     : num  35000 1000 5500 35000 35000 2500 35000 35000 35000 1600 ...
##  $ loan_intent                   : chr  "PERSONAL" "EDUCATION" "MEDICAL" "MEDICAL" ...
##  $ loan_int_rate                 : num  16 11.1 12.9 15.2 14.3 ...
##  $ loan_percent_income           : num  0.49 0.08 0.44 0.44 0.53 0.19 0.37 0.37 0.35 0.13 ...
##  $ cb_person_cred_hist_length    : num  3 2 3 2 4 2 3 4 2 3 ...
##  $ credit_score                  : int  561 504 635 675 586 532 701 585 544 640 ...
##  $ previous_loan_defaults_on_file: chr  "No" "Yes" "No" "No" ...
##  $ loan_status                   : int  1 0 1 1 1 1 1 1 1 1 ...

Διαχωρισμός δεδομένων σε Training και Testing set

set.seed(3000)
split<-sample.split(loan_data$loan_status, SplitRatio = 0.7)
train<-subset(loan_data, split==TRUE)
test<- subset(loan_data , split==FALSE)
nrow(train)
## [1] 31500
nrow(test)
## [1] 13500

Με τη χρήση της συνάρτησης nrow() υπολογίζεται ο αριθμός των παρατηρήσεων που περιλαμβάνονται στο training και στο testing set. Στην περίπτωση αυτή το training set περιέχει 31.500 παρατηρήσεις, ενώ το testing set περιέχει 13.500 παρατηρήσεις.


Δημιουργία μοντέλου CART

loanTree <- rpart(
  loan_status ~ person_age +
    person_gender +
    person_education +
    person_income +
    person_emp_exp +
    person_home_ownership +
    loan_amnt +
    loan_intent +
    loan_int_rate +
    loan_percent_income +
    cb_person_cred_hist_length +
    credit_score +
    previous_loan_defaults_on_file,
  data = train,
  method = "class",
  minbucket = 25
)
prp(loanTree)

Το δέντρο απόφασης δείχνει ότι ο πιο καθοριστικός παράγοντας για την έγκριση του δανείου είναι το αν ο πελάτης έχει προηγούμενα δάνεια σε καθυστέρηση (previous defaults). Συγκεκριμένα, αν υπάρχει ιστορικό καθυστερήσεων (“Yes”), το μοντέλο προβλέπει άμεσα απόρριψη (0). Αν δεν υπάρχει, τότε εξετάζεται το ποσοστό του δανείου ως προς το εισόδημα (loan_percent_income): όταν αυτό είναι μικρό (<0.25), αυξάνονται οι πιθανότητες έγκρισης, ειδικά αν το επιτόκιο είναι χαμηλό (<14) και το εισόδημα επαρκές. Επιπλέον, παίζει ρόλο ο σκοπός του δανείου (π.χ. education, personal, venture) και το καθεστώς κατοικίας (ιδιοκτησία ή υποθήκη), που σχετίζονται με μεγαλύτερη πιθανότητα έγκρισης. Αντίθετα, όταν το δάνειο αποτελεί μεγαλύτερο ποσοστό του εισοδήματος ή υπάρχουν λιγότερο ευνοϊκά χαρακτηριστικά, η πιθανότητα απόρριψης αυξάνεται. Συνολικά, το μοντέλο δείχνει ότι η πιστοληπτική συμπεριφορά (defaults), η οικονομική επιβάρυνση του δανείου και βασικά κοινωνικοοικονομικά χαρακτηριστικά είναι οι κύριοι παράγοντες που καθορίζουν την απόφαση.

summary(loanTree)
## Call:
## rpart(formula = loan_status ~ person_age + person_gender + person_education + 
##     person_income + person_emp_exp + person_home_ownership + 
##     loan_amnt + loan_intent + loan_int_rate + loan_percent_income + 
##     cb_person_cred_hist_length + credit_score + previous_loan_defaults_on_file, 
##     data = train, method = "class", minbucket = 25)
##   n= 31500 
## 
##           CP nsplit rel error    xerror        xstd
## 1 0.16657143      0 1.0000000 1.0000000 0.010540926
## 2 0.05057143      3 0.4801429 0.4807143 0.007831820
## 3 0.01342857      4 0.4295714 0.4307143 0.007459307
## 4 0.01071429      5 0.4161429 0.4204286 0.007379010
## 5 0.01000000      7 0.3947143 0.4078571 0.007279041
## 
## Variable importance
## previous_loan_defaults_on_file            loan_percent_income 
##                             36                             21 
##                  loan_int_rate                  person_income 
##                             18                              9 
##          person_home_ownership                   credit_score 
##                              9                              5 
##                    loan_intent 
##                              1 
## 
## Node number 1: 31500 observations,    complexity param=0.1665714
##   predicted class=0  expected loss=0.2222222  P(node) =1
##     class counts: 24500  7000
##    probabilities: 0.778 0.222 
##   left son=2 (15972 obs) right son=3 (15528 obs)
##   Primary splits:
##       previous_loan_defaults_on_file splits as  RL,           improve=3200.0690, (0 missing)
##       loan_percent_income            < 0.245    to the left,  improve=1958.8290, (0 missing)
##       loan_int_rate                  < 14.355   to the left,  improve=1279.7170, (0 missing)
##       person_income                  < 42613.5  to the right, improve= 803.3319, (0 missing)
##       person_home_ownership          splits as  LRLR,         improve= 716.0380, (0 missing)
##   Surrogate splits:
##       loan_percent_income   < 0.225    to the left,  agree=0.581, adj=0.150, (0 split)
##       loan_int_rate         < 12.995   to the left,  agree=0.577, adj=0.143, (0 split)
##       credit_score          < 632.5    to the left,  agree=0.573, adj=0.134, (0 split)
##       person_home_ownership splits as  LRLR,         agree=0.568, adj=0.124, (0 split)
##       person_income         < 54461.5  to the right, agree=0.566, adj=0.119, (0 split)
## 
## Node number 2: 15972 observations
##   predicted class=0  expected loss=0  P(node) =0.5070476
##     class counts: 15972     0
##    probabilities: 1.000 0.000 
## 
## Node number 3: 15528 observations,    complexity param=0.1665714
##   predicted class=0  expected loss=0.4507986  P(node) =0.4929524
##     class counts:  8528  7000
##    probabilities: 0.549 0.451 
##   left son=6 (12360 obs) right son=7 (3168 obs)
##   Primary splits:
##       loan_percent_income   < 0.245    to the left,  improve=1385.8600, (0 missing)
##       loan_int_rate         < 13.995   to the left,  improve= 963.4812, (0 missing)
##       person_home_ownership splits as  LRLR,         improve= 755.6381, (0 missing)
##       person_income         < 48461    to the right, improve= 693.7511, (0 missing)
##       credit_score          < 613.5    to the right, improve= 206.6263, (0 missing)
##   Surrogate splits:
##       loan_amnt < 21795.5  to the left,  agree=0.801, adj=0.026, (0 split)
## 
## Node number 6: 12360 observations,    complexity param=0.1665714
##   predicted class=0  expected loss=0.3438511  P(node) =0.392381
##     class counts:  8110  4250
##    probabilities: 0.656 0.344 
##   left son=12 (9435 obs) right son=13 (2925 obs)
##   Primary splits:
##       loan_int_rate         < 13.985   to the left,  improve=1104.1060, (0 missing)
##       person_income         < 42674.5  to the right, improve= 401.7517, (0 missing)
##       person_home_ownership splits as  LRLR,         improve= 215.1185, (0 missing)
##       loan_intent           splits as  RLRRLL,       improve= 214.3588, (0 missing)
##       credit_score          < 597.5    to the right, improve= 139.3517, (0 missing)
##   Surrogate splits:
##       credit_score < 458      to the right, agree=0.764, adj=0.001, (0 split)
## 
## Node number 7: 3168 observations,    complexity param=0.01342857
##   predicted class=1  expected loss=0.1319444  P(node) =0.1005714
##     class counts:   418  2750
##    probabilities: 0.132 0.868 
##   left son=14 (684 obs) right son=15 (2484 obs)
##   Primary splits:
##       person_home_ownership splits as  LRLR,         improve=332.83060, (0 missing)
##       person_income         < 40355.5  to the right, improve= 18.39204, (0 missing)
##       credit_score          < 622.5    to the right, improve= 13.52364, (0 missing)
##       loan_intent           splits as  RLLRLL,       improve= 12.79737, (0 missing)
##       loan_amnt             < 11991    to the right, improve= 12.63798, (0 missing)
##   Surrogate splits:
##       person_income       < 113456.5 to the right, agree=0.789, adj=0.020, (0 split)
##       loan_int_rate       < 5.555    to the left,  agree=0.785, adj=0.006, (0 split)
##       loan_percent_income < 0.555    to the right, agree=0.784, adj=0.001, (0 split)
##       credit_score        < 738      to the right, agree=0.784, adj=0.001, (0 split)
## 
## Node number 12: 9435 observations,    complexity param=0.05057143
##   predicted class=0  expected loss=0.2261791  P(node) =0.2995238
##     class counts:  7301  2134
##    probabilities: 0.774 0.226 
##   left son=24 (8985 obs) right son=25 (450 obs)
##   Primary splits:
##       person_income         < 24597.5  to the right, improve=420.64800, (0 missing)
##       loan_int_rate         < 10.775   to the left,  improve=100.62110, (0 missing)
##       loan_amnt             < 5353     to the right, improve= 90.48637, (0 missing)
##       credit_score          < 598.5    to the right, improve= 84.05346, (0 missing)
##       person_home_ownership splits as  LRLR,         improve= 83.75974, (0 missing)
## 
## Node number 13: 2925 observations,    complexity param=0.01071429
##   predicted class=1  expected loss=0.2765812  P(node) =0.09285714
##     class counts:   809  2116
##    probabilities: 0.277 0.723 
##   left son=26 (1282 obs) right son=27 (1643 obs)
##   Primary splits:
##       loan_intent           splits as  RLRRLL,       improve=122.97490, (0 missing)
##       person_home_ownership splits as  LLLR,         improve= 58.31214, (0 missing)
##       person_income         < 72676.5  to the right, improve= 41.77301, (0 missing)
##       loan_int_rate         < 15.305   to the left,  improve= 38.12458, (0 missing)
##       credit_score          < 647.5    to the right, improve= 25.07542, (0 missing)
##   Surrogate splits:
##       person_home_ownership splits as  RLLR,         agree=0.571, adj=0.020, (0 split)
##       person_income         < 19946    to the left,  agree=0.569, adj=0.017, (0 split)
##       person_age            < 22.5     to the left,  agree=0.568, adj=0.014, (0 split)
##       loan_int_rate         < 14.005   to the left,  agree=0.564, adj=0.006, (0 split)
##       loan_amnt             < 2013     to the left,  agree=0.564, adj=0.005, (0 split)
## 
## Node number 14: 684 observations
##   predicted class=0  expected loss=0.4312865  P(node) =0.02171429
##     class counts:   389   295
##    probabilities: 0.569 0.431 
## 
## Node number 15: 2484 observations
##   predicted class=1  expected loss=0.01167472  P(node) =0.07885714
##     class counts:    29  2455
##    probabilities: 0.012 0.988 
## 
## Node number 24: 8985 observations
##   predicted class=0  expected loss=0.1927657  P(node) =0.2852381
##     class counts:  7253  1732
##    probabilities: 0.807 0.193 
## 
## Node number 25: 450 observations
##   predicted class=1  expected loss=0.1066667  P(node) =0.01428571
##     class counts:    48   402
##    probabilities: 0.107 0.893 
## 
## Node number 26: 1282 observations,    complexity param=0.01071429
##   predicted class=1  expected loss=0.4407176  P(node) =0.04069841
##     class counts:   565   717
##    probabilities: 0.441 0.559 
##   left son=52 (474 obs) right son=53 (808 obs)
##   Primary splits:
##       person_home_ownership splits as  LLLR,         improve=71.16138, (0 missing)
##       person_income         < 54878.5  to the right, improve=39.73102, (0 missing)
##       credit_score          < 646.5    to the right, improve=23.29636, (0 missing)
##       loan_int_rate         < 15.515   to the left,  improve=19.45574, (0 missing)
##       loan_amnt             < 7175     to the right, improve=10.91693, (0 missing)
##   Surrogate splits:
##       person_income       < 89748.5  to the right, agree=0.701, adj=0.192, (0 split)
##       loan_amnt           < 13100    to the right, agree=0.658, adj=0.074, (0 split)
##       loan_int_rate       < 19.415   to the right, agree=0.632, adj=0.004, (0 split)
##       loan_percent_income < 0.015    to the left,  agree=0.632, adj=0.004, (0 split)
##       credit_score        < 733.5    to the right, agree=0.631, adj=0.002, (0 split)
## 
## Node number 27: 1643 observations
##   predicted class=1  expected loss=0.1485088  P(node) =0.05215873
##     class counts:   244  1399
##    probabilities: 0.149 0.851 
## 
## Node number 52: 474 observations
##   predicted class=0  expected loss=0.3417722  P(node) =0.01504762
##     class counts:   312   162
##    probabilities: 0.658 0.342 
## 
## Node number 53: 808 observations
##   predicted class=1  expected loss=0.3131188  P(node) =0.02565079
##     class counts:   253   555
##    probabilities: 0.313 0.687

Από το summary του δέντρου απόφασης προκύπτει ότι η σημαντικότερη μεταβλητή για την πρόβλεψη της έγκρισης δανείου είναι το ιστορικό προηγούμενων καθυστερήσεων (previous_loan_defaults_on_file), καθώς εμφανίζει τη μεγαλύτερη σημασία (importance = 36) και αποτελεί το πρώτο split του δέντρου. Αυτό δείχνει ότι η πιστοληπτική συμπεριφορά του πελάτη είναι ο βασικότερος παράγοντας για την απόφαση έγκρισης.

Επιπλέον, σημαντικό ρόλο παίζουν το ποσοστό του δανείου ως προς το εισόδημα (loan_percent_income) και το επιτόκιο (loan_int_rate), καθώς υψηλές τιμές αυτών των μεταβλητών σχετίζονται με μεγαλύτερη πιθανότητα απόρριψης. Παράλληλα, το εισόδημα (person_income) και η κατάσταση κατοικίας (person_home_ownership) επηρεάζουν επίσης την τελική απόφαση.

Από την ανάλυση του αρχικού κόμβου παρατηρείται ότι το dataset είναι ανισόρροπο, καθώς περίπου το 78% των παρατηρήσεων ανήκουν στην κατηγορία 0 και το 22% στην κατηγορία 1.

Τέλος, σε συγκεκριμένους κόμβους του δέντρου παρατηρείται ότι όταν υπάρχουν προηγούμενες καθυστερήσεις, το μοντέλο προβλέπει σχεδόν πάντα απόρριψη, ενώ σε περιπτώσεις χωρίς αρνητικό ιστορικό και με ευνοϊκά οικονομικά χαρακτηριστικά, η πιθανότητα έγκρισης μπορεί να ξεπεράσει το 85%.


Προβλέψεις στο test set

predictCart <- predict(loanTree, newdata=test, type="class")

cm<-table(test$loan_status, predictCart)
cm
##    predictCart
##         0     1
##   0 10233   267
##   1   977  2023

10233 → Σωστές προβλέψεις 0 (True Negatives) 2023 → Σωστές προβλέψεις 1 (True Positives) 267 → Λάθος: προέβλεψε 1 ενώ ήταν 0 (False Positives) 977 → Λάθος: προέβλεψε 0 ενώ ήταν 1 (False Negatives)

Υπολογισμός μετρικών αξιολόγησης

TN <- cm[1,1]
FP <- cm[1,2]
FN <- cm[2,1]
TP <- cm[2,2]

accuracy <- (TP + TN) / sum(cm)

sensitivity <- TP / (TP + FN)

specificity <- TN / (TN + FP)

baseline <- max(table(test$loan_status)) / length(test$loan_status)

accuracy
## [1] 0.9078519
sensitivity
## [1] 0.6743333
specificity
## [1] 0.9745714
baseline
## [1] 0.7777778

ROC Curve

PredictROC <- predict(loanTree, newdata = test)
PredictROC
##                0         1
## 1     0.01167472 0.9883253
## 4     0.01167472 0.9883253
## 5     0.01167472 0.9883253
## 8     0.01167472 0.9883253
## 16    1.00000000 0.0000000
## 22    0.31311881 0.6868812
## 32    1.00000000 0.0000000
## 34    1.00000000 0.0000000
## 38    0.01167472 0.9883253
## 41    0.01167472 0.9883253
## 43    1.00000000 0.0000000
## 46    1.00000000 0.0000000
## 51    0.01167472 0.9883253
## 53    0.01167472 0.9883253
## 54    0.01167472 0.9883253
## 57    1.00000000 0.0000000
## 58    0.80723428 0.1927657
## 69    1.00000000 0.0000000
## 71    0.10666667 0.8933333
## 72    0.01167472 0.9883253
## 75    0.01167472 0.9883253
## 79    0.56871345 0.4312865
## 83    0.80723428 0.1927657
## 86    0.80723428 0.1927657
## 88    0.01167472 0.9883253
## 96    1.00000000 0.0000000
## 100   1.00000000 0.0000000
## 101   1.00000000 0.0000000
## 104   1.00000000 0.0000000
## 108   0.01167472 0.9883253
## 112   1.00000000 0.0000000
## 114   0.80723428 0.1927657
## 116   0.56871345 0.4312865
## 122   0.01167472 0.9883253
## 127   1.00000000 0.0000000
## 129   0.01167472 0.9883253
## 133   0.01167472 0.9883253
## 134   0.01167472 0.9883253
## 138   0.80723428 0.1927657
## 141   1.00000000 0.0000000
## 142   1.00000000 0.0000000
## 143   0.01167472 0.9883253
## 148   0.10666667 0.8933333
## 160   0.65822785 0.3417722
## 161   0.56871345 0.4312865
## 175   1.00000000 0.0000000
## 180   1.00000000 0.0000000
## 182   0.01167472 0.9883253
## 183   1.00000000 0.0000000
## 184   0.80723428 0.1927657
## 186   1.00000000 0.0000000
## 188   0.80723428 0.1927657
## 190   0.10666667 0.8933333
## 192   0.01167472 0.9883253
## 193   0.01167472 0.9883253
## 198   1.00000000 0.0000000
## 202   0.56871345 0.4312865
## 203   0.01167472 0.9883253
## 207   0.01167472 0.9883253
## 208   0.01167472 0.9883253
## 214   1.00000000 0.0000000
## 225   0.01167472 0.9883253
## 229   0.01167472 0.9883253
## 234   1.00000000 0.0000000
## 236   1.00000000 0.0000000
## 238   1.00000000 0.0000000
## 244   0.01167472 0.9883253
## 247   1.00000000 0.0000000
## 248   1.00000000 0.0000000
## 252   1.00000000 0.0000000
## 256   0.14850883 0.8514912
## 257   0.56871345 0.4312865
## 258   1.00000000 0.0000000
## 259   0.01167472 0.9883253
## 260   0.01167472 0.9883253
## 261   0.01167472 0.9883253
## 263   0.56871345 0.4312865
## 264   1.00000000 0.0000000
## 266   1.00000000 0.0000000
## 272   0.80723428 0.1927657
## 283   0.80723428 0.1927657
## 284   1.00000000 0.0000000
## 286   0.10666667 0.8933333
## 288   0.01167472 0.9883253
## 290   1.00000000 0.0000000
## 294   1.00000000 0.0000000
## 295   0.14850883 0.8514912
## 297   0.80723428 0.1927657
## 299   1.00000000 0.0000000
## 300   1.00000000 0.0000000
## 301   0.80723428 0.1927657
## 304   0.10666667 0.8933333
## 306   1.00000000 0.0000000
## 307   0.80723428 0.1927657
## 308   1.00000000 0.0000000
## 310   0.31311881 0.6868812
## 313   0.14850883 0.8514912
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## 315   0.01167472 0.9883253
## 316   1.00000000 0.0000000
## 317   0.10666667 0.8933333
## 322   1.00000000 0.0000000
## 326   1.00000000 0.0000000
## 331   0.80723428 0.1927657
## 345   1.00000000 0.0000000
## 347   1.00000000 0.0000000
## 353   1.00000000 0.0000000
## 358   0.56871345 0.4312865
## 360   1.00000000 0.0000000
## 361   1.00000000 0.0000000
## 364   1.00000000 0.0000000
## 367   0.10666667 0.8933333
## 369   0.01167472 0.9883253
## 371   0.10666667 0.8933333
## 375   1.00000000 0.0000000
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## 386   0.01167472 0.9883253
## 387   0.80723428 0.1927657
## 392   1.00000000 0.0000000
## 396   0.10666667 0.8933333
## 400   1.00000000 0.0000000
## 404   0.01167472 0.9883253
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## 419   0.01167472 0.9883253
## 423   0.01167472 0.9883253
## 426   0.01167472 0.9883253
## 430   0.01167472 0.9883253
## 432   0.01167472 0.9883253
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## 472   0.01167472 0.9883253
## 474   0.14850883 0.8514912
## 476   0.10666667 0.8933333
## 478   0.01167472 0.9883253
## 479   0.01167472 0.9883253
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## 490   0.10666667 0.8933333
## 497   0.65822785 0.3417722
## 503   0.01167472 0.9883253
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## 511   1.00000000 0.0000000
## 512   1.00000000 0.0000000
## 513   0.56871345 0.4312865
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## 43992 0.01167472 0.9883253
## 43993 0.56871345 0.4312865
## 43996 0.14850883 0.8514912
## 43997 0.01167472 0.9883253
## 43998 0.01167472 0.9883253
## 43999 0.14850883 0.8514912
## 44000 0.80723428 0.1927657
## 44007 0.01167472 0.9883253
## 44008 0.01167472 0.9883253
## 44012 0.01167472 0.9883253
## 44016 0.80723428 0.1927657
## 44017 0.80723428 0.1927657
## 44018 0.01167472 0.9883253
## 44021 0.80723428 0.1927657
## 44025 0.80723428 0.1927657
## 44029 0.14850883 0.8514912
## 44030 0.14850883 0.8514912
## 44038 0.80723428 0.1927657
## 44041 0.10666667 0.8933333
## 44042 0.01167472 0.9883253
## 44044 0.14850883 0.8514912
## 44045 0.01167472 0.9883253
## 44052 0.01167472 0.9883253
## 44059 0.01167472 0.9883253
## 44061 0.01167472 0.9883253
## 44063 0.80723428 0.1927657
## 44070 0.01167472 0.9883253
## 44075 0.14850883 0.8514912
## 44076 0.14850883 0.8514912
## 44080 0.01167472 0.9883253
## 44083 0.14850883 0.8514912
## 44084 0.01167472 0.9883253
## 44085 0.56871345 0.4312865
## 44088 0.14850883 0.8514912
## 44089 0.01167472 0.9883253
## 44094 0.80723428 0.1927657
## 44095 0.01167472 0.9883253
## 44109 0.80723428 0.1927657
## 44114 0.01167472 0.9883253
## 44116 0.10666667 0.8933333
## 44118 0.14850883 0.8514912
## 44119 0.10666667 0.8933333
## 44120 0.01167472 0.9883253
## 44130 0.10666667 0.8933333
## 44132 0.01167472 0.9883253
## 44140 0.01167472 0.9883253
## 44141 0.10666667 0.8933333
## 44144 0.31311881 0.6868812
## 44146 0.14850883 0.8514912
## 44150 0.80723428 0.1927657
## 44151 0.80723428 0.1927657
## 44160 0.01167472 0.9883253
## 44175 0.14850883 0.8514912
## 44181 0.01167472 0.9883253
## 44186 0.01167472 0.9883253
## 44189 0.80723428 0.1927657
## 44193 0.31311881 0.6868812
## 44197 0.01167472 0.9883253
## 44198 0.14850883 0.8514912
## 44200 0.14850883 0.8514912
## 44204 0.31311881 0.6868812
## 44208 0.01167472 0.9883253
## 44214 0.01167472 0.9883253
## 44215 0.14850883 0.8514912
## 44217 0.01167472 0.9883253
## 44218 0.01167472 0.9883253
## 44220 0.01167472 0.9883253
## 44221 0.01167472 0.9883253
## 44223 0.14850883 0.8514912
## 44227 0.65822785 0.3417722
## 44228 0.14850883 0.8514912
## 44229 0.01167472 0.9883253
## 44230 0.65822785 0.3417722
## 44231 0.80723428 0.1927657
## 44232 0.80723428 0.1927657
## 44236 0.14850883 0.8514912
## 44237 0.01167472 0.9883253
## 44244 0.01167472 0.9883253
## 44246 0.80723428 0.1927657
## 44247 0.80723428 0.1927657
## 44260 0.80723428 0.1927657
## 44266 0.14850883 0.8514912
## 44268 0.31311881 0.6868812
## 44271 0.01167472 0.9883253
## 44273 0.14850883 0.8514912
## 44275 0.10666667 0.8933333
## 44280 0.01167472 0.9883253
## 44282 0.80723428 0.1927657
## 44284 0.14850883 0.8514912
## 44286 0.01167472 0.9883253
## 44294 0.65822785 0.3417722
## 44296 0.14850883 0.8514912
## 44299 0.80723428 0.1927657
## 44301 0.80723428 0.1927657
## 44303 0.80723428 0.1927657
## 44304 0.01167472 0.9883253
## 44306 0.01167472 0.9883253
## 44309 0.01167472 0.9883253
## 44311 0.80723428 0.1927657
## 44315 0.14850883 0.8514912
## 44318 0.80723428 0.1927657
## 44319 0.01167472 0.9883253
## 44323 0.01167472 0.9883253
## 44327 0.01167472 0.9883253
## 44328 0.80723428 0.1927657
## 44329 0.14850883 0.8514912
## 44331 0.80723428 0.1927657
## 44336 0.31311881 0.6868812
## 44341 0.01167472 0.9883253
## 44342 0.14850883 0.8514912
## 44351 0.14850883 0.8514912
## 44353 0.14850883 0.8514912
## 44354 0.10666667 0.8933333
## 44359 0.14850883 0.8514912
## 44363 0.80723428 0.1927657
## 44370 0.80723428 0.1927657
## 44371 0.01167472 0.9883253
## 44372 0.01167472 0.9883253
## 44373 0.10666667 0.8933333
## 44374 0.80723428 0.1927657
## 44383 0.80723428 0.1927657
## 44384 0.80723428 0.1927657
## 44390 0.14850883 0.8514912
## 44395 0.01167472 0.9883253
## 44397 0.80723428 0.1927657
## 44400 0.80723428 0.1927657
## 44401 0.01167472 0.9883253
## 44404 0.80723428 0.1927657
## 44414 0.01167472 0.9883253
## 44415 0.80723428 0.1927657
## 44418 0.01167472 0.9883253
## 44421 0.01167472 0.9883253
## 44429 0.14850883 0.8514912
## 44433 0.80723428 0.1927657
## 44436 0.31311881 0.6868812
## 44438 0.80723428 0.1927657
## 44440 0.01167472 0.9883253
## 44441 0.01167472 0.9883253
## 44443 0.80723428 0.1927657
## 44444 0.80723428 0.1927657
## 44445 0.14850883 0.8514912
## 44449 0.10666667 0.8933333
## 44452 0.10666667 0.8933333
## 44453 0.01167472 0.9883253
## 44455 0.01167472 0.9883253
## 44458 0.14850883 0.8514912
## 44460 0.14850883 0.8514912
## 44462 0.80723428 0.1927657
## 44468 0.80723428 0.1927657
## 44471 0.14850883 0.8514912
## 44473 0.01167472 0.9883253
## 44475 0.80723428 0.1927657
## 44489 0.01167472 0.9883253
## 44490 0.01167472 0.9883253
## 44492 0.14850883 0.8514912
## 44497 0.14850883 0.8514912
## 44499 0.14850883 0.8514912
## 44505 0.10666667 0.8933333
## 44509 0.80723428 0.1927657
## 44513 0.80723428 0.1927657
## 44516 0.01167472 0.9883253
## 44522 0.01167472 0.9883253
## 44527 0.10666667 0.8933333
## 44532 0.65822785 0.3417722
## 44534 0.80723428 0.1927657
## 44535 0.14850883 0.8514912
## 44539 0.14850883 0.8514912
## 44551 0.14850883 0.8514912
## 44552 0.01167472 0.9883253
## 44556 0.80723428 0.1927657
## 44561 0.14850883 0.8514912
## 44563 0.80723428 0.1927657
## 44568 0.10666667 0.8933333
## 44571 0.01167472 0.9883253
## 44572 0.01167472 0.9883253
## 44573 0.01167472 0.9883253
## 44575 0.14850883 0.8514912
## 44576 0.01167472 0.9883253
## 44579 0.14850883 0.8514912
## 44580 0.80723428 0.1927657
## 44583 0.31311881 0.6868812
## 44584 0.14850883 0.8514912
## 44587 0.10666667 0.8933333
## 44590 0.01167472 0.9883253
## 44594 0.14850883 0.8514912
## 44597 0.10666667 0.8933333
## 44603 0.01167472 0.9883253
## 44605 0.14850883 0.8514912
## 44607 0.01167472 0.9883253
## 44612 0.01167472 0.9883253
## 44613 0.01167472 0.9883253
## 44616 0.80723428 0.1927657
## 44621 0.10666667 0.8933333
## 44623 0.80723428 0.1927657
## 44627 0.01167472 0.9883253
## 44638 0.80723428 0.1927657
## 44641 0.01167472 0.9883253
## 44645 0.80723428 0.1927657
## 44646 0.01167472 0.9883253
## 44651 0.01167472 0.9883253
## 44652 0.10666667 0.8933333
## 44653 0.01167472 0.9883253
## 44656 0.14850883 0.8514912
## 44661 0.01167472 0.9883253
## 44662 0.80723428 0.1927657
## 44663 0.01167472 0.9883253
## 44667 0.01167472 0.9883253
## 44669 0.56871345 0.4312865
## 44670 0.14850883 0.8514912
## 44672 0.31311881 0.6868812
## 44676 0.80723428 0.1927657
## 44682 0.14850883 0.8514912
## 44683 0.01167472 0.9883253
## 44684 0.65822785 0.3417722
## 44691 0.31311881 0.6868812
## 44692 0.01167472 0.9883253
## 44694 0.31311881 0.6868812
## 44701 0.14850883 0.8514912
## 44704 0.80723428 0.1927657
## 44708 0.80723428 0.1927657
## 44711 0.80723428 0.1927657
## 44713 0.01167472 0.9883253
## 44715 0.14850883 0.8514912
## 44719 0.10666667 0.8933333
## 44722 0.01167472 0.9883253
## 44723 0.01167472 0.9883253
## 44727 0.14850883 0.8514912
## 44728 0.01167472 0.9883253
## 44730 0.80723428 0.1927657
## 44731 0.14850883 0.8514912
## 44733 0.80723428 0.1927657
## 44738 0.01167472 0.9883253
## 44739 0.01167472 0.9883253
## 44740 0.31311881 0.6868812
## 44742 0.14850883 0.8514912
## 44744 0.80723428 0.1927657
## 44746 0.01167472 0.9883253
## 44749 0.14850883 0.8514912
## 44752 0.80723428 0.1927657
## 44753 0.01167472 0.9883253
## 44765 0.31311881 0.6868812
## 44768 0.10666667 0.8933333
## 44772 0.31311881 0.6868812
## 44777 0.14850883 0.8514912
## 44779 0.01167472 0.9883253
## 44782 0.01167472 0.9883253
## 44789 0.80723428 0.1927657
## 44790 0.01167472 0.9883253
## 44792 0.01167472 0.9883253
## 44793 0.14850883 0.8514912
## 44799 0.31311881 0.6868812
## 44805 0.01167472 0.9883253
## 44816 0.80723428 0.1927657
## 44824 0.80723428 0.1927657
## 44828 0.01167472 0.9883253
## 44832 0.14850883 0.8514912
## 44837 0.14850883 0.8514912
## 44838 0.01167472 0.9883253
## 44841 0.10666667 0.8933333
## 44849 0.14850883 0.8514912
## 44851 0.01167472 0.9883253
## 44855 0.31311881 0.6868812
## 44857 0.14850883 0.8514912
## 44861 0.01167472 0.9883253
## 44863 0.14850883 0.8514912
## 44864 0.01167472 0.9883253
## 44875 0.01167472 0.9883253
## 44879 0.80723428 0.1927657
## 44888 0.14850883 0.8514912
## 44889 0.80723428 0.1927657
## 44892 0.80723428 0.1927657
## 44893 0.80723428 0.1927657
## 44900 0.10666667 0.8933333
## 44906 0.14850883 0.8514912
## 44910 0.01167472 0.9883253
## 44914 0.80723428 0.1927657
## 44919 0.14850883 0.8514912
## 44922 0.14850883 0.8514912
## 44925 0.01167472 0.9883253
## 44927 0.14850883 0.8514912
## 44933 0.80723428 0.1927657
## 44934 0.14850883 0.8514912
## 44935 0.80723428 0.1927657
## 44942 0.80723428 0.1927657
## 44946 0.14850883 0.8514912
## 44948 0.80723428 0.1927657
## 44950 0.80723428 0.1927657
## 44951 0.01167472 0.9883253
## 44953 0.01167472 0.9883253
## 44957 0.31311881 0.6868812
## 44958 0.01167472 0.9883253
## 44959 0.65822785 0.3417722
## 44961 0.01167472 0.9883253
## 44962 0.14850883 0.8514912
## 44964 0.14850883 0.8514912
## 44965 0.80723428 0.1927657
## 44966 0.31311881 0.6868812
## 44971 0.01167472 0.9883253
## 44982 0.14850883 0.8514912
## 44987 0.01167472 0.9883253
## 44995 0.01167472 0.9883253
pred <- prediction(PredictROC[,2], test$loan_status)
perf <- performance(pred, "tpr", "fpr")
plot(perf)

Η καμπύλη ROC απεικονίζει τη σχέση μεταξύ του True Positive Rate (ευαισθησία) και του False Positive Rate για διαφορετικά κατώφλια ταξινόμησης. Στην περίπτωση μας, η καμπύλη βρίσκεται κοντά στην πάνω αριστερή γωνία του διαγράμματος, γεγονός που υποδηλώνει ότι το μοντέλο έχει πολύ καλή ικανότητα διάκρισης μεταξύ των δύο κατηγοριών. Η απότομη αύξηση της καμπύλης δείχνει ότι το μοντέλο επιτυγχάνει υψηλό ποσοστό σωστών θετικών προβλέψεων με χαμηλό ποσοστό λανθασμένων θετικών. Συνολικά, το διάγραμμα υποδεικνύει ότι το μοντέλο έχει πολύ καλή απόδοση.

Υπολογισμός AUC

as.numeric(performance(pred, "auc")@y.values)
## [1] 0.9425434

Η τιμή AUC του μοντέλου είναι 0.9425, γεγονός που υποδηλώνει εξαιρετική απόδοση. Το μοντέλο έχει πολύ υψηλή ικανότητα διάκρισης μεταξύ των δύο κατηγοριών, καθώς η τιμή είναι πολύ κοντά στο 1. Αυτό σημαίνει ότι το μοντέλο προβλέπει με μεγάλη ακρίβεια τις θετικές και αρνητικές περιπτώσεις.


Λογιστική Παλινδρόμηση

Δημιουργία μοντέλου Λογιστικής Παλινδρόμησης

LoanLog <- glm(loan_status~person_age +
               person_gender +
               person_education +
               person_income +
               person_emp_exp +
               person_home_ownership +
               loan_amnt +
               loan_intent +
               loan_int_rate +
               loan_percent_income +
               cb_person_cred_hist_length +
               credit_score +
               previous_loan_defaults_on_file,
               data=train,
               family=binomial
            
            )
summary(LoanLog)
## 
## Call:
## glm(formula = loan_status ~ person_age + person_gender + person_education + 
##     person_income + person_emp_exp + person_home_ownership + 
##     loan_amnt + loan_intent + loan_int_rate + loan_percent_income + 
##     cb_person_cred_hist_length + credit_score + previous_loan_defaults_on_file, 
##     family = binomial, data = train)
## 
## Coefficients:
##                                     Estimate Std. Error z value Pr(>|z|)    
## (Intercept)                       -8.797e-02  4.284e-01  -0.205   0.8373    
## person_age                         2.436e-02  1.306e-02   1.865   0.0622 .  
## person_gendermale                  5.563e-02  4.247e-02   1.310   0.1903    
## person_educationBachelor          -4.187e-03  5.639e-02  -0.074   0.9408    
## person_educationDoctorate          5.508e-02  1.783e-01   0.309   0.7573    
## person_educationHigh School       -1.166e-03  5.905e-02  -0.020   0.9843    
## person_educationMaster             4.479e-02  6.703e-02   0.668   0.5040    
## person_income                      6.317e-07  2.691e-07   2.348   0.0189 *  
## person_emp_exp                    -2.526e-02  1.161e-02  -2.176   0.0295 *  
## person_home_ownershipOTHER         5.747e-01  3.796e-01   1.514   0.1300    
## person_home_ownershipOWN          -1.524e+00  1.229e-01 -12.404  < 2e-16 ***
## person_home_ownershipRENT          7.344e-01  4.812e-02  15.263  < 2e-16 ***
## loan_amnt                         -1.010e-04  4.803e-06 -21.022  < 2e-16 ***
## loan_intentEDUCATION              -9.935e-01  7.057e-02 -14.077  < 2e-16 ***
## loan_intentHOMEIMPROVEMENT         4.130e-02  7.931e-02   0.521   0.6026    
## loan_intentMEDICAL                -3.281e-01  6.773e-02  -4.844 1.27e-06 ***
## loan_intentPERSONAL               -7.794e-01  7.186e-02 -10.847  < 2e-16 ***
## loan_intentVENTURE                -1.278e+00  7.618e-02 -16.772  < 2e-16 ***
## loan_int_rate                      3.340e-01  7.843e-03  42.585  < 2e-16 ***
## loan_percent_income                1.584e+01  3.729e-01  42.480  < 2e-16 ***
## cb_person_cred_hist_length        -3.286e-05  1.097e-02  -0.003   0.9976    
## credit_score                      -9.294e-03  4.912e-04 -18.920  < 2e-16 ***
## previous_loan_defaults_on_fileYes -2.040e+01  1.225e+02  -0.167   0.8677    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 33371  on 31499  degrees of freedom
## Residual deviance: 13862  on 31477  degrees of freedom
## AIC: 13908
## 
## Number of Fisher Scoring iterations: 19

Το μοντέλο Logistic Regression δημιουργήθηκε χρησιμοποιώντας όλες τις ανεξάρτητες μεταβλητές. Από τα αποτελέσματα του summary() παρατηρούμε ότι αρκετές μεταβλητές είναι στατιστικά σημαντικές.

Οι μεταβλητές με πολύ ισχυρή στατιστική σημαντικότητα (p < 0.001) είναι:

person_home_ownershipOWN person_home_ownershipRENT loan_amnt loan_intentEDUCATION loan_intentMEDICAL loan_intentPERSONAL loan_intentVENTURE loan_int_rate loan_percent_income credit_score

Επίσης σημαντικές στο επίπεδο 5% είναι οι μεταβλητές:

person_age person_income person_emp_exp

Τέλος οριακή στατιστική σημαντικότητα εμφανίζει η μεταβλητή person_educationHigh School (p < 0.1)

Αντίθετα, μεταβλητές όπως person_gender, person_education και cb_person_cred_hist_length δεν εμφανίζουν στατιστικά σημαντική συσχέτιση με την εξαρτημένη μεταβλητή loan_status.


Προβλέψεις στο test set

predictTest<- predict(LoanLog, type="response" , newdata=test)
cm<- table(test$loan_status, predictTest>0.5)
cm
##    
##     FALSE TRUE
##   0  9858  642
##   1   757 2243

9858 → Σωστές προβλέψεις 0 (True Negatives) 2243 → Σωστές προβλέψεις 1 (True Positives) 642 → Λάθος: προέβλεψε 1 ενώ ήταν 0 (False Positives) 757 → Λάθος: προέβλεψε 0 ενώ ήταν 1 (False Negatives)

Υπολογισμός μετρικών αξιολόγησης

TN <- cm[1,1]
FP <- cm[1,2]
FN <- cm[2,1]
TP <- cm[2,2]

accuracy <- (TP + TN) / sum(cm)

sensitivity <- TP / (TP + FN)

specificity <- TN / (TN + FP)

baseline <- max(table(test$loan_status)) / length(test$loan_status)

accuracy
## [1] 0.8963704
sensitivity
## [1] 0.7476667
specificity
## [1] 0.9388571
baseline
## [1] 0.7777778

ROC Curve

PredictROC <- predict(LoanLog, newdata = test)
PredictROC
##             1             4             5             8            16 
##  4.857910e+00  3.174156e+00  5.201513e+00  1.436708e+00 -2.453787e+01 
##            22            32            34            38            41 
## -2.048223e-01 -2.328690e+01 -2.097377e+01  3.696565e+00  4.515171e+00 
##            43            46            51            53            54 
## -2.577445e+01 -2.345084e+01  1.153839e+00  7.851061e-01 -1.410234e+00 
##            57            58            69            71            72 
## -2.301310e+01 -5.527294e+00 -2.415867e+01  8.221775e-03  2.740632e+00 
##            75            79            83            86            88 
## -2.444208e+00  1.394124e-01  5.760127e-01 -1.799392e+00  9.504495e-01 
##            96           100           101           104           108 
## -2.071245e+01 -2.468385e+01 -2.188371e+01 -2.271842e+01  3.193632e+00 
##           112           114           116           122           127 
## -2.296847e+01 -4.016208e+00  2.308542e+00  4.281072e+00 -2.445977e+01 
##           129           133           134           138           141 
##  1.842297e+00  1.535736e+00  2.207029e+00 -3.772782e+00 -2.216207e+01 
##           142           143           148           160           161 
## -2.428746e+01  2.131574e+00 -2.063016e+00 -1.025786e+00  4.136740e+00 
##           175           180           182           183           184 
## -2.414264e+01 -2.326771e+01  1.939399e+00 -2.341648e+01 -4.250827e+00 
##           186           188           190           192           193 
## -2.418206e+01 -2.217025e+00 -7.820036e-01 -4.531672e-01 -1.762760e-01 
##           198           202           203           207           208 
## -2.175966e+01 -1.266396e-01  3.951914e+00  1.110706e+00  2.336512e-01 
##           214           225           229           234           236 
## -2.293850e+01  2.938607e+00  9.272565e-01 -2.578627e+01 -2.386266e+01 
##           238           244           247           248           252 
## -2.156283e+01  8.389127e-01 -1.954285e+01 -2.047353e+01 -1.799026e+01 
##           256           257           258           259           260 
##  3.732484e-01  2.525868e+00 -1.867040e+01  4.909665e-01  3.285527e+00 
##           261           263           264           266           272 
##  1.957831e+00  5.326551e-01 -2.429757e+01 -2.350325e+01 -6.108744e-02 
##           283           284           286           288           290 
## -3.131416e+00 -2.281763e+01 -1.704032e+00  1.342802e-01 -2.084380e+01 
##           294           295           297           299           300 
## -2.168723e+01  2.282611e+00 -1.431701e+00 -2.203030e+01 -2.098289e+01 
##           301           304           306           307           308 
## -9.687590e-01 -1.096151e+00 -2.134757e+01  5.510618e-01 -2.161222e+01 
##           310           313           314           315           316 
##  5.372123e-01 -2.391982e-01 -2.236986e+00  2.337049e-01 -1.961983e+01 
##           317           322           326           331           345 
## -7.302051e-01 -2.185823e+01 -2.602218e+01 -3.724829e+00 -2.369592e+01 
##           347           353           358           360           361 
## -2.387296e+01 -1.947202e+01 -9.952984e-01 -2.219810e+01 -2.176164e+01 
##           364           367           369           371           375 
## -2.282519e+01 -1.071233e+00  1.116456e+00 -1.078235e+00 -2.303290e+01 
##           383           386           387           392           396 
##  1.887711e+00  2.884893e+00  3.250009e-01 -2.122568e+01  2.073756e+00 
##           400           404           410           418           419 
## -2.216802e+01  2.403658e+00  4.337234e+00  1.972669e+00  1.489714e+00 
##           423           426           430           432           433 
##  2.560467e+00  3.495864e-01  1.692798e-01  2.836283e+00  1.006139e+00 
##           435           436           440           442           443 
##  2.150333e-01 -2.585222e+00 -1.905339e+00 -2.381186e+01  4.237523e-01 
##           448           452           455           458           459 
##  1.004217e+00  1.129660e+00 -2.020531e+01  2.318643e+00 -2.328675e+01 
##           461           466           467           472           474 
##  2.663763e+00 -2.315803e+01  3.344473e+00  1.368648e+00  1.018279e+00 
##           476           478           479           486           490 
## -2.510907e+00  2.885831e+00  8.850955e-01 -2.155205e+01 -1.346728e+00 
##           497           503           506           507           511 
##  5.766185e-01  3.539468e+00 -1.997234e+01 -8.481973e-01 -2.035499e+01 
##           512           513           517           520           522 
## -2.064912e+01  1.216117e+00  1.507578e+00 -2.174630e+01  1.098880e+00 
##           523           524           527           533           534 
##  1.978558e+00  4.326252e+00  2.089266e-01 -1.844184e-02 -2.016789e+01 
##           535           539           543           549           551 
## -1.111781e+00  1.621280e+00  1.654323e+00  4.858486e+00 -2.404063e+00 
##           553           555           556           560           561 
## -1.911125e+01 -2.005208e+01  2.814491e+00  2.562746e-01 -1.947884e+01 
##           562           563           565           568           574 
## -2.054843e+00  5.859230e-01 -2.097962e+01  9.564851e-02  4.920697e-01 
##           575           579           580           586           587 
## -2.445616e+01  5.093785e+00 -1.217558e+00  1.157000e+00  2.979678e+00 
##           597           599           606           609           612 
##  7.636174e+00  6.808433e-01  8.237052e-01 -2.205570e+01  1.035389e+00 
##           615           616           618           620           628 
## -2.074256e+01  2.907279e+00  1.820008e+00  1.668080e+00  2.800924e+00 
##           632           635           643           646           650 
##  3.828991e+00  2.070981e+00 -5.981731e-02  3.374701e+00  9.728151e-02 
##           652           659           662           663           664 
##  2.710524e+00  6.846756e-01  1.058849e+00  3.903176e-02  1.393285e-01 
##           667           668           670           671           675 
##  1.537087e-01  2.465590e+00  1.301402e-01 -2.251681e+01  1.294505e+00 
##           676           681           683           687           695 
##  1.496042e+00 -1.278651e-01  2.130215e+00  1.630646e+00  7.883066e-01 
##           697           698           703           704           712 
##  2.317131e+00  2.773882e+00  1.222931e+00 -9.848378e-01 -2.080417e+01 
##           715           724           729           737           738 
## -2.003766e+01 -2.008858e+01  5.832176e-01  1.250010e+00  4.146876e-01 
##           739           742           743           747           752 
## -1.898706e+01 -2.240208e+01 -2.015695e+01 -2.306034e+01 -2.099674e-01 
##           758           761           763           765           768 
## -1.972810e+01 -1.992632e+01  1.628884e+00  2.769708e+00 -1.929673e+01 
##           769           771           772           785           788 
## -9.130428e-02  1.725022e+00  1.081223e-01 -1.327094e-01 -1.929551e+01 
##           797           806           809           813           815 
## -2.016756e+01 -2.095610e+01 -5.649068e-01  1.925464e-01 -2.064516e+01 
##           816           824           825           827           828 
## -1.956763e+01 -1.301663e+00 -1.982743e+01  1.731358e+00 -2.066751e+01 
##           829           834           837           840           845 
## -2.122809e+01 -5.314765e-01 -1.941156e+01 -2.487096e+00 -2.350554e+00 
##           846           847           853           859           862 
##  1.244911e+00 -2.157651e+01 -2.089226e+01 -1.054597e+00 -2.332553e+01 
##           868           869           870           871           879 
## -2.100885e+01 -9.048574e-01  1.977349e+00 -2.099783e+01  1.682814e-01 
##           886           887           890           892           895 
## -8.415419e-01 -2.071221e+01  2.594821e-01 -3.216331e+00 -1.813043e+01 
##           896           899           900           902           904 
##  8.215094e-01 -2.118643e+01 -2.154284e+01  3.095340e+00  2.029711e+00 
##           907           908           909           910           912 
##  3.395590e+00  1.702284e+00  2.280362e-01  1.110769e+00 -2.046125e+01 
##           916           917           920           927           929 
##  1.319666e+00 -2.388735e+01 -2.162840e+00  3.712006e+00  1.755966e+00 
##           930           931           934           939           941 
##  2.347205e+00 -2.156786e+01 -1.377177e-01  1.743798e+00 -2.291786e+01 
##           942           949           951           955           959 
##  2.366179e-01  4.586910e+00 -9.786673e-01  2.406678e+00  2.512710e+00 
##           962           965           967           968           972 
##  4.264613e-01  2.184730e+00  3.903945e+00  1.324826e+00 -2.119761e+01 
##           975           979           994           998           999 
##  1.390187e+00  3.037469e+00  8.346995e-01 -2.224843e+01  1.455836e+00 
##          1000          1005          1006          1012          1016 
##  1.363161e+00  3.758814e+00  2.156274e+00 -8.780727e-01  4.434049e-01 
##          1035          1036          1038          1039          1051 
## -2.023359e+01  1.616228e+00 -1.459871e-01 -3.070009e-01  1.313325e+00 
##          1059          1060          1062          1063          1067 
## -2.032203e+01 -1.825144e+01 -2.025321e+01 -1.887648e+00 -2.156025e+01 
##          1068          1073          1079          1082          1085 
##  6.998717e-02 -4.619590e-01 -1.927206e+01 -1.930446e+01 -9.195266e-02 
##          1096          1100          1101          1105          1108 
## -2.167342e+01  3.749920e+00 -9.134845e-01 -1.999981e+00 -2.026716e+01 
##          1111          1117          1119          1120          1126 
##  1.808359e+00  6.110944e-01  4.501565e+00 -2.037770e+01  2.058579e+00 
##          1127          1129          1131          1138          1139 
##  2.792165e+00 -2.092994e+00  1.052572e-01 -2.130611e+01 -2.008553e+01 
##          1140          1147          1159          1161          1165 
##  9.064816e-01 -2.150167e+01 -2.195010e+00  3.527169e+00  2.492789e+00 
##          1175          1177          1180          1182          1183 
##  2.249555e+00  4.468080e-01 -2.548952e+00  3.849395e+00  1.630402e+00 
##          1186          1188          1198          1199          1203 
## -1.933765e+01  2.128032e+00  9.966950e-01 -5.061994e+00 -2.166504e+01 
##          1204          1211          1218          1219          1220 
## -3.765537e+00 -1.885224e+01  2.452002e+00  1.923136e-01 -2.280183e+01 
##          1224          1225          1230          1237          1238 
##  2.065627e+00 -1.865279e+00  2.679349e+00  6.636655e-01 -2.315349e+01 
##          1243          1250          1253          1255          1256 
##  5.831289e-01 -2.350103e+01  9.053232e-01  3.206667e+00 -1.800082e+00 
##          1257          1258          1259          1260          1265 
##  9.935228e-01  3.580756e+00  3.372667e+00 -9.005898e-01  2.909112e+00 
##          1267          1269          1274          1279          1281 
##  3.300658e+00 -2.154021e+01  1.161979e-01 -3.371728e+00  1.510715e+00 
##          1286          1287          1288          1297          1299 
## -2.088733e+01 -2.132882e+01 -2.102621e+01 -2.117296e+01 -2.300507e+01 
##          1301          1304          1306          1309          1315 
## -2.249164e+01  8.012984e-01 -1.779227e+01  1.723960e-01 -2.072155e+01 
##          1326          1327          1329          1333          1340 
## -1.972639e+01 -2.131799e+01 -2.116442e+01  2.892227e+00  6.051449e+00 
##          1341          1350          1351          1358          1359 
## -2.130448e+01 -2.227525e+01 -2.271453e+01 -1.995192e+01 -2.323525e+01 
##          1360          1367          1371          1373          1375 
## -2.095980e+01 -1.879517e+01 -2.216812e+01 -2.223544e+01 -2.067077e+00 
##          1380          1382          1385          1388          1390 
## -2.152544e+01 -2.013616e+01  1.757145e+00 -2.214063e+01 -2.111031e+01 
##          1391          1395          1397          1404          1405 
##  6.370098e-01 -2.182002e+01 -1.885726e+01 -3.153650e+00 -7.660745e-01 
##          1408          1415          1421          1423          1426 
## -2.018614e+01 -2.003238e+01 -1.219267e+00 -2.988487e+00  5.051315e-01 
##          1427          1431          1434          1440          1442 
## -2.175252e+01 -2.106996e+01 -2.195913e+00  1.017844e-01 -2.201258e+01 
##          1452          1457          1459          1464          1465 
## -2.452801e+00  3.751048e-01 -2.155070e+01 -2.080248e+01 -2.205600e+01 
##          1468          1471          1473          1482          1483 
## -2.028502e+01 -2.197225e+01 -2.248095e+01 -2.693990e+00 -1.716512e+00 
##          1485          1490          1493          1498          1504 
## -1.922564e+01  1.761962e+00 -2.082003e+01 -9.693825e-01  3.398443e+00 
##          1505          1512          1513          1515          1517 
##  4.740869e-01 -2.246914e+01 -2.247837e+01 -9.586908e-01  2.136608e+00 
##          1518          1519          1524          1525          1526 
## -2.266624e+01 -2.095122e+01 -2.088201e+01 -2.070872e+01 -2.292686e+01 
##          1529          1530          1532          1533          1537 
## -6.143714e-01 -1.379480e+00 -2.386609e+01 -1.110779e+00  1.817922e+00 
##          1538          1541          1544          1546          1550 
## -2.133798e+01  5.815946e-01 -1.999503e+01  5.730516e-01 -2.051907e+01 
##          1557          1559          1561          1564          1567 
## -2.261758e+01 -1.877349e+01  1.290587e+00 -2.060676e+01 -2.022987e+00 
##          1568          1572          1576          1578          1583 
## -9.486479e-01 -2.136570e+01  3.243013e-01 -1.869374e+01 -1.773206e+00 
##          1585          1586          1593          1598          1601 
## -2.182596e+01  9.398687e-01 -6.118618e-01  2.728222e-01 -1.834441e+00 
##          1603          1616          1617          1624          1627 
## -1.637180e+00 -2.152107e+01 -2.220616e+00  3.767590e-01 -2.166765e+01 
##          1630          1631          1632          1633          1653 
##  3.282487e-01 -1.783280e+01 -2.253447e+01 -1.999701e+01 -2.218067e+01 
##          1657          1658          1663          1666          1677 
## -7.973227e-01  1.837849e+00 -2.096593e+01 -2.024039e+01 -1.316311e+00 
##          1678          1680          1681          1689          1691 
## -2.039164e+01 -7.683704e-01 -2.170145e+01 -2.153747e+00 -2.341301e+01 
##          1694          1699          1700          1702          1705 
## -1.170073e+00 -1.910667e+01 -2.093893e+01 -2.764864e+00 -8.063895e-01 
##          1707          1709          1714          1719          1722 
##  2.308095e+00 -2.123258e+01 -2.095958e+01 -9.192499e-02 -2.163832e+01 
##          1725          1731          1732          1733          1734 
## -2.054946e+01 -1.843363e+00  9.178811e-01  6.072653e-01 -1.853069e+01 
##          1735          1751          1752          1759          1761 
## -2.021525e+01 -2.049816e+01 -1.906209e-01 -2.081370e+01 -2.156552e+01 
##          1762          1766          1769          1770          1771 
## -2.073338e+01  1.269299e+00 -1.364723e+00 -2.005550e+01 -2.142761e+01 
##          1772          1776          1777          1782          1787 
##  1.494088e+00 -2.054256e+01 -2.348538e+00 -1.329429e+00  1.788176e+00 
##          1791          1797          1799          1800          1804 
##  4.852397e-01 -2.301199e+01  1.880067e+00 -2.140822e+01 -2.269482e+01 
##          1813          1814          1816          1824          1825 
## -1.342967e+00  1.741113e+00 -3.388114e+00  1.958746e-01 -2.016066e+01 
##          1827          1828          1829          1831          1833 
## -2.241034e+01  1.872013e+00 -1.917234e+01  1.484422e+00 -2.091951e+01 
##          1835          1836          1838          1840          1844 
## -2.380281e+01  1.014564e+00 -9.444160e-01  1.626425e+00 -1.069843e+00 
##          1846          1848          1849          1850          1855 
## -2.274370e+01 -6.126757e-01 -2.173085e+01 -2.038893e+01 -2.065732e+01 
##          1856          1857          1858          1862          1866 
## -5.309843e-01 -2.189550e+01 -2.272349e+01 -2.272580e+01 -2.183493e+01 
##          1868          1871          1874          1877          1887 
## -2.280709e+01 -2.199923e+01 -2.227473e+01 -1.991885e+01 -2.085381e+01 
##          1889          1890          1895          1900          1901 
##  4.391810e+00 -3.574294e+00 -2.046594e+01 -1.354525e+00 -1.993789e+01 
##          1908          1909          1915          1916          1919 
## -6.139336e-01 -2.159452e+01 -2.735189e-01 -2.277195e+01 -1.292953e+00 
##          1921          1925          1926          1927          1928 
## -2.280010e+01 -2.203330e+01 -2.163722e+01 -2.082864e+01 -3.345485e-01 
##          1929          1940          1942          1946          1949 
## -2.108986e+01 -2.318950e+01 -2.204074e+01 -2.563259e+00 -4.392049e-01 
##          1954          1956          1960          1961          1966 
## -2.198777e+01 -2.127690e+01 -2.275761e+01 -2.445025e+00  3.047972e-01 
##          1971          1972          1978          1981          1994 
## -2.021090e+01 -2.068337e+01 -1.885559e+01 -2.228932e+01  8.740525e-01 
##          1995          1997          2000          2001          2003 
##  2.005462e+00  4.051647e+00  1.231915e+00  4.119641e+00 -1.636029e+00 
##          2009          2010          2011          2016          2018 
##  5.751479e-02  2.008152e+00  3.781746e+00  1.374844e-01  3.059482e+00 
##          2020          2021          2022          2024          2025 
## -2.093887e+01 -2.048326e+01 -2.872357e+00 -2.029315e+01  8.170831e-01 
##          2029          2032          2035          2037          2038 
## -2.182205e+01  1.690220e-01  1.132871e+00 -1.925227e+01 -1.713418e+01 
##          2040          2041          2045          2050          2053 
## -1.915195e+00 -1.908729e+01 -2.098871e+01 -1.918097e+01  9.982764e-01 
##          2057          2058          2065          2069          2071 
## -2.297281e+01 -3.218894e+00 -2.059346e+01  2.064051e+00 -2.675796e+00 
##          2075          2078          2084          2085          2086 
## -1.730785e+01  6.157095e-01 -2.066562e+01  1.966187e+00  1.961684e+00 
##          2091          2094          2096          2098          2099 
## -2.178537e+01  5.479551e-01 -2.097119e+01  6.762797e-02  9.814007e-01 
##          2100          2104          2105          2108          2131 
##  9.013466e-01  1.542762e+00 -2.049504e-01 -2.001148e+01 -9.563125e-01 
##          2140          2142          2147          2149          2151 
## -2.109670e+01 -1.941453e+01 -2.170701e+01 -2.150245e+01 -1.725127e+00 
##          2153          2165          2166          2167          2168 
## -2.074742e+01 -2.217361e+01 -2.248753e+01 -5.786923e-01 -2.306121e+01 
##          2173          2180          2181          2183          2184 
## -1.705672e-01 -2.137458e+01  2.925849e+00 -2.235847e+01 -2.039444e+01 
##          2188          2193          2194          2196          2199 
## -2.160660e+01 -1.992680e+01 -2.100727e+01 -2.321305e+01  1.356386e+00 
##          2202          2203          2208          2210          2214 
##  2.388166e+00  9.673649e-01  1.366751e+00 -2.168216e+01  1.285415e+00 
##          2218          2222          2224          2226          2228 
##  3.055264e+00 -1.847865e+01 -1.110250e+00  1.905748e+00 -2.100507e+01 
##          2229          2231          2242          2246          2259 
## -1.387857e+00 -3.205984e+00 -9.012068e-01  4.434520e+00 -8.856653e-01 
##          2260          2261          2262          2264          2276 
##  4.004172e+00  1.906478e+00  2.247971e+00 -1.754735e+00  2.277956e+00 
##          2277          2281          2285          2288          2297 
##  1.238227e+00  6.706576e-01 -1.906795e+01 -2.853845e+00 -2.051868e+00 
##          2301          2311          2312          2323          2326 
## -2.601198e+00 -4.278333e-01 -2.080954e+00 -1.883409e+01  1.790043e+00 
##          2327          2333          2334          2335          2337 
##  6.715815e-02 -2.212844e+01 -2.263657e+01 -5.014935e+00 -2.012166e+01 
##          2341          2342          2347          2348          2350 
## -2.191534e+01 -2.307412e+01 -7.588220e-01 -5.227540e-01 -2.320179e+01 
##          2351          2355          2362          2364          2369 
## -2.105135e+01 -2.320868e+01  8.111517e-01 -1.443411e+00 -1.268354e+00 
##          2370          2371          2374          2376          2380 
## -2.062739e+00 -6.163249e-01 -2.058426e+01 -2.161264e+01  7.880708e-01 
##          2381          2383          2384          2385          2386 
## -1.964333e+01 -2.131985e+01 -2.067884e+01 -2.365804e+01  6.777416e-01 
##          2388          2392          2401          2402          2404 
## -2.111862e+01 -1.907443e+01 -1.986263e+01 -1.035042e+00 -2.234481e+01 
##          2405          2409          2411          2416          2417 
## -1.425313e+00 -2.114267e+01 -2.253224e+01 -2.145164e+01 -8.853630e-01 
##          2419          2431          2437          2439          2444 
## -2.308517e+01 -4.390294e+00  3.084863e+00 -1.572281e-01  3.738399e-02 
##          2448          2455          2461          2462          2463 
## -2.185301e+01 -1.990973e+01  1.859845e+00 -2.078511e+01 -2.066469e+01 
##          2471          2473          2479          2481          2484 
##  3.465932e+00 -3.072027e+00  1.869449e+00  4.883628e-01  5.824833e-01 
##          2486          2488          2492          2495          2498 
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##          3178          3179          3186          3187          3192 
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##         10974         10975         10976         10978         10979 
## -1.168232e+00 -9.982879e-01 -1.057595e+00 -2.856229e+00 -2.178236e+01 
##         10980         10982         10993         10995         10997 
## -2.112022e+01 -2.024196e+01 -2.287719e+01 -8.324130e-01 -2.354069e+01 
##         11003         11009         11010         11014         11017 
## -2.041614e+01 -2.196328e+00 -1.657943e+00 -2.356454e+01 -9.511847e-01 
##         11019         11022         11024         11030         11031 
## -2.170335e+01 -2.237115e+01  5.841720e-02 -2.227845e+01 -2.355943e+01 
##         11034         11042         11047         11053         11054 
## -1.937674e+01 -2.105757e+01 -1.969164e+01 -1.208431e+00  3.576921e+00 
##         11055         11064         11065         11068         11069 
## -2.208421e+01 -2.167772e+01 -2.199942e+00 -1.911416e+01 -2.110990e+01 
##         11083         11088         11090         11092         11094 
## -3.117817e+00 -2.343520e+01 -6.150654e-01  5.544319e-01 -1.940921e+00 
##         11097         11101         11103         11105         11115 
## -2.221733e+01  2.462087e+00 -3.992559e+00  1.735386e+00 -2.019709e+01 
##         11119         11122         11127         11137         11141 
## -1.992385e+01  1.297689e+00 -2.717025e+00 -2.119914e+01 -2.321787e+00 
##         11148         11149         11155         11159         11161 
## -2.260370e+01 -3.563361e-02 -2.280083e+01 -2.124642e+01 -2.436282e+01 
##         11166         11168         11170         11171         11173 
##  1.141438e+00 -2.192345e+01 -2.086953e+01 -2.365411e+01 -4.252610e-02 
##         11175         11176         11183         11184         11185 
## -3.694375e+00  1.245310e+00 -2.212795e+01 -1.429774e+00 -1.956697e+01 
##         11186         11191         11197         11199         11202 
## -2.121700e+01 -1.905453e+01 -1.882237e+01  1.634309e+00 -1.941854e+01 
##         11206         11207         11208         11214         11217 
## -2.253472e+01 -2.077209e+01  1.250108e-01 -1.957320e+01 -1.873736e+01 
##         11220         11221         11224         11225         11233 
## -4.743536e-01 -2.111086e+01 -1.894063e+01 -2.155194e+01 -2.306036e+01 
##         11235         11237         11238         11245         11246 
## -2.361646e+01 -5.089956e-01 -1.583877e+00 -1.067902e+00 -1.825215e+01 
##         11250         11254         11257         11258         11267 
## -2.404692e+01  3.602812e+00 -1.947794e+01 -2.023016e+01 -2.048765e+01 
##         11269         11271         11273         11274         11279 
## -1.999213e+01 -2.352722e+01  1.476112e+00 -2.216473e+01 -1.164535e+00 
##         11282         11284         11286         11293         11301 
## -1.998261e+01 -6.394958e-01 -2.498330e+01 -2.134036e+01 -2.156303e+00 
##         11302         11304         11305         11306         11310 
## -2.432832e+01  1.422219e+00 -4.100481e-01 -8.414583e-01  4.389965e-01 
##         11311         11316         11317         11321         11324 
## -2.265604e+01 -2.070328e+01 -2.781051e+00 -8.107609e-01 -2.011590e+01 
##         11327         11328         11332         11333         11337 
## -2.823371e+00 -2.651218e+00  2.840574e-01 -2.278365e+01 -1.863352e+00 
##         11339         11342         11343         11345         11348 
## -2.405859e+01 -1.998463e+01 -1.297392e+00 -1.724521e+00 -1.284635e-01 
##         11349         11350         11355         11365         11367 
## -2.121005e+01 -2.332895e+01 -2.015336e+01 -2.200639e+01 -2.337877e+01 
##         11369         11371         11373         11379         11387 
## -2.246229e+00 -1.486868e+00 -2.338176e+01 -5.944598e-01 -2.133600e+01 
##         11396         11397         11400         11402         11406 
##  1.984925e+00 -2.168587e+01  1.882902e+00 -2.158557e+01 -2.120035e+01 
##         11408         11410         11413         11417         11419 
##  1.097563e-01 -1.571642e+00 -1.315667e+00 -2.230120e+01 -2.181914e+01 
##         11426         11427         11431         11433         11437 
## -2.479712e+01  1.153331e+00  8.597400e-01  8.863991e-01 -2.190549e+01 
##         11441         11442         11443         11445         11447 
## -2.079510e+01 -2.365974e+01 -1.970835e+01 -2.257036e+01 -2.148871e+01 
##         11450         11452         11453         11458         11460 
## -2.270492e+01 -2.024962e+01 -9.248840e-01 -2.206454e+01 -2.222399e+01 
##         11462         11463         11464         11467         11468 
## -3.848265e-01 -2.146871e+01 -7.991970e-01 -6.933690e-01 -1.985070e+01 
##         11469         11473         11474         11476         11484 
## -2.292555e+01 -2.081700e+01  1.931484e+00 -2.198293e+01 -2.414935e+01 
##         11487         11491         11492         11498         11502 
## -2.283274e+01 -2.255406e-01 -1.932750e+01 -1.981162e+01 -2.325321e+01 
##         11503         11506         11507         11508         11511 
## -2.446320e+01 -2.354802e+01 -3.294675e+00 -2.682976e+00 -3.204357e+00 
##         11514         11516         11518         11520         11526 
## -2.240381e+00 -1.914237e+00 -2.478105e+01  1.319231e+00 -2.151641e+01 
##         11530         11534         11536         11539         11545 
## -2.330677e+01 -1.674236e+00 -1.792605e+00 -2.344914e+01 -4.916562e-01 
##         11547         11548         11553         11558         11560 
##  6.666333e-01 -2.067678e+01 -2.713264e+00 -2.188819e+01 -2.069295e+01 
##         11562         11565         11574         11576         11577 
##  5.582777e-01 -2.148881e+01 -1.853185e+01 -1.944259e+01  2.729852e-02 
##         11578         11580         11581         11582         11590 
##  3.189533e-01 -6.452553e-01 -2.084978e+01  3.047844e-01 -7.994217e-01 
##         11598         11602         11603         11617         11618 
## -4.881253e+00 -2.306169e+01  1.860594e+00 -2.235034e+01 -2.062524e+01 
##         11621         11623         11625         11634         11637 
## -2.080715e+01 -1.006423e+00  1.413790e-01  9.156943e-01 -2.102860e+01 
##         11638         11645         11647         11650         11651 
## -2.187433e+01 -2.098370e+00 -2.069601e+01 -1.396610e+00  2.318991e-01 
##         11652         11653         11661         11663         11665 
## -1.681726e+00 -2.864209e-01 -2.451766e-01 -2.085023e+01  2.143474e+00 
##         11666         11670         11673         11675         11677 
## -2.293860e+01 -1.962299e+01 -2.046910e+01 -2.493062e+00 -1.055450e+00 
##         11683         11685         11686         11692         11695 
## -2.439205e+01 -2.254035e+01  1.081769e+00 -2.160797e+01 -1.911411e+01 
##         11696         11705         11706         11710         11712 
## -2.296834e+01  2.188094e+00 -2.246440e+01  1.638147e-01 -1.744059e+00 
##         11720         11728         11733         11734         11738 
## -2.138816e+01 -2.056951e+00 -2.043934e+01 -2.208816e+01 -4.952221e-01 
##         11741         11742         11746         11748         11749 
##  8.382745e-01 -2.180465e+01 -2.112954e+00 -3.517627e+00  8.811477e-01 
##         11754         11755         11778         11780         11785 
##  1.169138e-01 -2.360931e+01  2.529810e-01 -2.238460e+01 -2.888537e+00 
##         11789         11790         11794         11800         11801 
## -3.818220e-01 -7.607044e-01 -1.947074e+01 -3.386091e+00 -9.821324e-01 
##         11803         11807         11808         11810         11814 
## -2.169112e+01 -2.124655e+01 -2.306298e+01 -2.016338e+01 -1.954816e+01 
##         11816         11823         11825         11827         11829 
## -8.526908e-01  1.301893e+00  1.518072e+00 -1.992343e+01 -2.092672e+01 
##         11834         11838         11845         11846         11847 
## -2.315030e+01  2.606401e+00 -2.432298e+01 -2.125721e+01 -3.387568e+00 
##         11851         11855         11856         11857         11863 
##  5.126122e-01 -2.393226e+01 -2.482956e+01 -2.076657e+01 -1.172463e-01 
##         11865         11868         11870         11871         11876 
## -3.313344e+00 -2.340432e+00  2.127428e-01 -2.564333e+01 -2.206009e+01 
##         11878         11879         11892         11898         11899 
## -3.440565e+00 -1.982674e+01 -2.471544e+00 -2.013396e+01 -2.363754e+01 
##         11901         11902         11905         11906         11907 
##  1.821032e+00 -2.047956e+01 -1.948265e+01 -2.025525e+01 -3.258614e+00 
##         11911         11913         11914         11915         11931 
## -2.094203e+01  2.820158e+00  2.360278e+00  2.589136e+00 -2.317550e+01 
##         11933         11935         11938         11940         11941 
##  5.650876e-02  2.998891e+00 -2.939371e+00 -8.333180e-02 -2.303758e+01 
##         11942         11946         11947         11948         11951 
## -2.384962e+01  3.941320e-01  1.486913e+00 -1.889449e+01 -2.053399e+01 
##         11953         11972         11975         11979         11986 
## -3.195778e+00 -2.418812e+01 -2.450895e+01 -2.354806e+01 -2.103967e+01 
##         11989         11993         11994         11995         12004 
## -1.799127e+00 -1.257002e+00 -2.347848e+01  4.241879e-01  8.305747e-01 
##         12007         12009         12010         12011         12014 
## -1.521964e+00  1.118294e-01 -2.156392e+01 -8.171791e-01 -1.611749e+00 
##         12023         12025         12026         12030         12031 
## -2.025131e+01 -1.147931e+00 -2.196229e+01 -7.560439e-02 -2.230689e+01 
##         12038         12041         12044         12045         12047 
##  9.239273e-01 -2.108451e+01 -3.446575e-01 -1.303901e+00 -2.341230e+01 
##         12055         12058         12059         12060         12061 
## -2.000291e+01 -2.034022e+01 -1.857008e+01  9.803003e-01 -2.334876e+01 
##         12062         12063         12065         12066         12067 
## -1.271999e+00 -4.561144e-01  1.813317e+00 -2.198431e+01  1.337409e+00 
##         12078         12079         12091         12092         12094 
## -2.541326e+01  2.240442e+00 -2.293613e+01  4.513992e+00 -1.875239e+00 
##         12095         12099         12100         12102         12103 
## -1.352732e+00 -2.118232e+01  3.072523e+00 -2.447940e+01 -1.920760e+00 
##         12111         12112         12114         12115         12118 
## -1.929164e+01 -2.007304e+01 -2.329036e+00 -2.170956e+01 -2.261670e+01 
##         12123         12124         12125         12127         12132 
## -2.164548e+01 -1.695033e+00 -3.274475e+00 -2.291896e+01  1.204318e+00 
##         12141         12150         12151         12156         12158 
## -2.060074e+01  2.473227e+00 -2.307034e+01 -3.725934e+00  5.865127e-01 
##         12161         12169         12170         12172         12173 
##  1.601459e+00  3.625170e+00 -2.029427e+01 -3.151807e+00  3.852687e-01 
##         12174         12176         12177         12179         12180 
##  4.909857e+00  4.234731e+00 -2.246828e+01 -2.157386e+01  2.308202e+00 
##         12181         12189         12191         12193         12196 
##  3.607973e+00 -2.081445e+01 -2.393853e+01  6.353548e-01  1.657867e+00 
##         12198         12199         12203         12207         12215 
## -3.315119e-01  1.620080e+00 -2.115884e+01 -2.096530e+01 -4.166998e+00 
##         12216         12217         12218         12221         12222 
## -4.287957e+00 -2.063394e+01 -2.155786e+01  2.359657e+00 -2.216951e+01 
##         12227         12231         12232         12236         12246 
##  1.095118e+00  1.734379e+00 -2.180450e+01  2.081528e+00  1.826067e+00 
##         12249         12250         12255         12256         12262 
## -2.278340e+01 -2.359449e+01 -2.367808e+01  3.244888e+00  8.714468e-01 
##         12264         12269         12273         12274         12275 
##  2.179164e+00 -3.427808e+00 -2.051022e+01 -2.212696e+00  2.967799e+00 
##         12276         12284         12287         12291         12293 
##  1.649865e+00 -2.209039e+00  3.293551e+00  1.177032e+00 -5.745023e-01 
##         12299         12301         12302         12305         12310 
##  4.031655e+00 -2.141370e+01 -1.238796e+00 -2.107297e+01 -2.224146e+01 
##         12312         12313         12317         12328         12331 
## -2.183918e+01 -2.082525e+01  2.524297e+00  1.471426e+00 -2.325708e+01 
##         12334         12336         12337         12339         12346 
## -2.312909e+01  5.680576e-01  3.293024e+00 -4.607015e+00 -2.169511e+01 
##         12357         12361         12367         12369         12372 
## -1.869453e+01  3.982441e-01 -2.260905e+01 -2.221048e+01 -1.958192e+01 
##         12373         12374         12377         12380         12386 
## -1.793706e+01 -2.181251e+01  1.900750e+00 -1.908349e+01 -2.686799e+00 
##         12387         12396         12402         12403         12406 
##  4.581551e-01 -3.345694e+00 -1.845723e+01 -2.429577e+01 -5.794166e-01 
##         12412         12413         12415         12418         12420 
##  4.031151e-02 -4.999053e-01 -1.327241e+00 -2.195475e+01 -7.079021e-01 
##         12424         12425         12433         12436         12438 
## -1.841767e+01 -1.937061e+01  9.816316e-01 -3.839827e+00 -1.702728e+01 
##         12440         12442         12445         12446         12448 
## -1.901347e+01  8.153588e-01 -2.977590e+00 -2.240602e+01 -2.211402e+01 
##         12449         12450         12459         12462         12470 
## -2.127017e+01 -2.115804e+01 -2.389899e+01 -2.266685e+01 -3.895319e+00 
##         12471         12473         12477         12481         12486 
##  9.822891e-01 -2.144222e+01 -1.815534e+00  2.446647e+00 -2.092076e+01 
##         12488         12490         12491         12492         12495 
## -2.357724e+01 -2.182642e+01 -4.332501e+00 -2.209575e+01 -2.608693e+00 
##         12506         12508         12514         12518         12521 
##  5.449985e-01 -1.458491e+00 -2.239436e+01 -2.228570e+01  8.753280e-01 
##         12525         12528         12530         12533         12540 
## -2.195651e+01 -3.500096e+00 -7.700863e-01  1.467965e+00 -1.300540e+00 
##         12541         12544         12549         12559         12562 
## -2.396482e+01 -2.138796e+01 -2.055858e+01 -4.917780e-01 -1.916462e+01 
##         12567         12572         12576         12582         12588 
## -2.053125e+01 -2.059339e+01 -2.155062e+01 -9.759861e-01 -6.162924e-01 
##         12589         12590         12591         12592         12594 
## -2.177042e+01 -4.777085e-01 -2.260378e+01 -2.301787e+01 -3.715745e+00 
##         12600         12603         12607         12610         12613 
##  1.138842e-01  3.849759e-01 -3.427433e+00 -2.216361e+01 -2.137337e+01 
##         12615         12626         12627         12628         12635 
##  1.217430e+00 -2.152501e+01 -2.376305e+01 -2.126989e+01 -1.443988e-01 
##         12639         12642         12643         12644         12647 
##  8.439084e-02 -2.057918e+01 -2.112509e+01 -2.246874e+01 -2.059748e+01 
##         12650         12653         12658         12661         12669 
##  6.129758e-01 -2.321148e+01 -3.690597e+00 -2.021110e+00 -2.028899e+00 
##         12677         12679         12681         12682         12687 
## -2.151551e+01 -2.277605e+01 -3.298670e+00 -2.047389e+01 -2.103650e+01 
##         12688         12690         12691         12692         12693 
##  3.002352e-01 -2.141516e+01 -2.100681e+01 -2.365944e+00  7.356100e-02 
##         12699         12700         12705         12708         12713 
## -1.705740e+00 -2.225786e+01  3.620938e-01 -2.138312e+01 -2.056516e+01 
##         12715         12716         12719         12720         12721 
## -1.363943e+00  7.475810e-01 -2.268725e+01 -2.116915e+01  2.344372e-01 
##         12722         12726         12728         12731         12736 
##  1.112598e+00 -2.020712e+01 -2.081953e+01 -2.261828e+01 -2.366336e+01 
##         12738         12740         12744         12745         12746 
## -2.102613e+01 -2.033362e+00 -2.255614e+00 -2.077114e+01 -2.285609e+01 
##         12752         12760         12762         12764         12766 
## -2.057748e+01  5.429183e-01 -2.356286e+01 -2.037999e+01 -2.429090e+01 
##         12767         12768         12769         12770         12771 
##  1.115838e+00  1.147331e+00 -2.494661e+01 -2.681276e+00 -2.241046e+01 
##         12778         12779         12780         12783         12786 
## -2.723080e+00 -2.074419e+01 -2.226397e+01 -2.127021e+01 -1.706599e+00 
##         12790         12796         12797         12801         12802 
## -9.898832e-01 -1.770466e+00 -2.220584e+01 -2.190899e+01 -2.833669e+00 
##         12803         12807         12809         12816         12817 
## -2.235375e+01 -2.274384e+01  2.944681e-01 -2.436628e+01 -2.092064e+01 
##         12821         12822         12823         12824         12825 
## -2.181884e+01 -2.356440e+01 -2.248693e+01 -2.396046e+01 -2.061441e+01 
##         12827         12833         12834         12836         12838 
## -2.344201e+00 -2.204107e+01 -2.273598e-01 -5.474495e+00 -2.358761e+01 
##         12842         12845         12852         12856         12867 
## -2.428079e+00 -2.235717e+01 -2.168594e+01 -2.134429e+01  1.187293e-01 
##         12869         12872         12875         12878         12882 
## -2.147945e+01 -2.306499e+01 -2.237804e+01 -2.138551e+01  2.446812e-01 
##         12885         12886         12888         12891         12893 
## -2.092335e+01 -2.606595e+00 -2.190596e+00 -2.132975e+01 -2.115243e+01 
##         12894         12895         12896         12907         12909 
## -1.983078e+01 -2.080403e+01 -2.078451e+01 -2.916467e+00 -1.957237e+01 
##         12911         12915         12916         12919         12920 
## -2.269696e+01 -8.320904e-01 -2.166019e+01 -9.392378e-01 -2.248966e+01 
##         12924         12929         12930         12936         12937 
## -3.850834e+00 -2.159735e+01 -1.498107e-01 -2.291847e+01 -2.203871e+01 
##         12944         12946         12947         12949         12951 
## -2.236864e+01 -2.743892e-01 -2.325297e+01 -2.319193e+01  8.434832e-02 
##         12957         12959         12961         12966         12967 
## -2.124239e+01 -2.393293e+01 -3.581731e+00 -2.087116e+01 -2.202353e+01 
##         12970         12972         12974         12978         12979 
## -2.246400e+01 -2.250415e+00 -2.128384e+01  1.055927e+00 -2.069650e+01 
##         12980         12991         12993         12995         12996 
## -1.917497e-01  1.734550e+00 -1.705994e+00 -2.388364e-01 -2.372623e+01 
##         12997         13000         13001         13002         13004 
## -2.342527e+01 -5.293263e-01 -2.157326e+01 -2.275033e+01 -2.273014e+01 
##         13006         13008         13011         13014         13018 
##  1.316464e+00 -2.190666e+01 -2.306014e+01 -3.087745e+00 -6.333438e-01 
##         13019         13020         13023         13025         13035 
## -2.072042e+01 -2.185818e+01 -2.404481e+01 -1.994456e+00 -2.180891e+01 
##         13036         13037         13038         13045         13047 
## -2.046308e+01 -2.203064e+01 -2.131399e+01 -2.277082e+01 -2.235537e+01 
##         13048         13050         13051         13052         13063 
## -3.261499e+00 -2.386144e+01 -1.926346e-01 -2.480906e+00 -3.203181e-02 
##         13065         13068         13069         13073         13075 
## -2.148188e+00 -3.339020e+00 -2.098170e+01 -2.217025e+01 -5.660265e-01 
##         13076         13077         13080         13082         13089 
## -1.173398e+00 -2.104659e+01 -3.055984e+00 -3.509058e-02 -2.229355e+01 
##         13090         13095         13096         13097         13102 
## -2.294694e+01 -1.987063e+00 -2.225795e+01 -1.996136e+01 -1.638732e+00 
##         13103         13104         13107         13118         13123 
##  1.931280e+00 -3.266830e+00 -2.075399e+01 -3.271536e-01 -4.972752e-02 
##         13129         13130         13136         13143         13145 
## -2.247396e+01 -2.409923e+01  8.705951e-01 -2.140775e-01 -2.312562e+01 
##         13146         13151         13155         13158         13165 
##  1.135306e+00 -2.107291e+00 -2.065612e+01 -2.240958e+01 -2.401315e+01 
##         13167         13170         13176         13178         13179 
## -2.296747e+01 -2.166793e+00 -1.590958e+00 -2.299359e+01 -3.383968e+00 
##         13186         13187         13189         13197         13200 
## -2.259975e+01 -3.854244e-01 -1.247190e+00 -2.148958e+01 -2.523736e+01 
##         13202         13203         13207         13208         13212 
## -8.076443e-01 -3.538155e+00 -7.128257e-01 -2.301744e+01 -2.229338e+01 
##         13215         13217         13219         13222         13224 
##  1.794097e+00 -2.267306e+01 -2.250293e+01 -2.481512e+01 -6.791638e-01 
##         13241         13243         13245         13246         13247 
##  2.793067e+00 -4.582595e+00  3.990094e+00  4.581230e+00  2.474775e+00 
##         13251         13256         13259         13261         13265 
## -2.260650e+01  1.655886e+00  2.216308e+00 -1.878060e+01 -9.405229e-01 
##         13268         13273         13283         13284         13285 
##  2.567051e+00 -2.081083e+01 -2.056341e+01 -1.258764e+00  3.771520e+00 
##         13286         13287         13288         13292         13294 
##  2.304046e+00 -3.448747e+00 -2.494681e+01  1.362104e+00 -2.494092e+01 
##         13297         13306         13307         13310         13318 
## -2.227370e+01 -2.144761e+01 -2.260696e+01 -2.129944e+01 -2.025604e+01 
##         13319         13323         13325         13329         13338 
## -3.106155e+00 -5.574640e+00 -2.093575e+01 -2.237536e+01 -2.256818e+00 
##         13344         13345         13350         13355         13357 
## -2.145009e+01 -2.092106e+01 -1.312674e+00 -2.427376e+00 -2.026239e+01 
##         13358         13360         13361         13371         13373 
## -2.247399e+01 -2.068567e+01 -2.178730e+01  4.068706e-01 -2.285920e+01 
##         13377         13381         13392         13397         13404 
## -2.177315e+01 -1.977911e+00  2.279584e+00 -1.809291e+01 -2.119978e+01 
##         13405         13408         13412         13413         13414 
## -2.069246e+01 -6.184750e-01 -1.874747e-01 -6.500338e-01 -2.133410e+01 
##         13415         13416         13421         13429         13434 
## -2.692701e+00  7.650508e-01 -2.310848e+01 -2.201818e+01 -2.597011e+00 
##         13436         13438         13441         13442         13446 
## -1.236829e+00 -2.129590e+01 -1.947091e+01 -2.250002e+01 -2.344636e+01 
##         13450         13451         13454         13463         13468 
## -2.291650e+01 -2.310301e+01 -2.187425e+01  4.150623e-01 -4.259977e+00 
##         13471         13476         13477         13479         13485 
## -2.061299e+01 -2.190387e+01 -2.084294e+01  6.244224e-03  1.221045e+00 
##         13489         13490         13492         13494         13496 
##  7.837440e-01 -2.184957e+01  4.542978e+00 -1.771625e+00 -2.297539e+01 
##         13498         13500         13502         13516         13517 
## -1.929690e+01  3.916315e+00 -1.109047e+00 -1.807373e+01 -2.982366e+00 
##         13518         13519         13529         13538         13539 
##  1.730650e+00 -3.603121e+00  9.422637e-01 -2.497444e+01 -2.219258e+01 
##         13540         13543         13547         13549         13552 
## -1.330722e-01 -2.214550e+00 -2.378882e+01 -1.971049e+01 -2.130682e+01 
##         13555         13560         13562         13563         13564 
##  3.298456e+00 -2.146064e+01 -1.306084e+00 -2.288590e+01 -3.239642e+00 
##         13567         13577         13578         13582         13587 
##  2.808623e+00  3.078877e+00  7.948686e-01  1.518824e+00 -2.307233e+01 
##         13588         13604         13605         13609         13610 
##  1.569009e+00 -3.453376e-01 -2.480829e+01 -2.237789e+01 -3.338624e+00 
##         13611         13612         13613         13615         13636 
## -2.025105e+01 -2.739088e+00 -1.973409e+01 -2.156506e+01 -2.250416e+01 
##         13645         13646         13649         13653         13654 
## -2.323540e+00 -2.509583e+01 -2.197453e+01 -2.139533e+01 -1.766856e+01 
##         13657         13659         13665         13666         13672 
## -2.094978e+01 -1.446393e+00 -2.091293e+01 -2.191632e+01 -2.078798e+01 
##         13676         13680         13682         13683         13686 
## -3.658842e+00 -2.073553e+01 -2.142624e+01 -2.347288e+00 -2.313011e+01 
##         13691         13695         13699         13705         13706 
## -2.253057e+01 -3.511528e+00 -2.074116e+01 -1.742057e+00  3.167166e-01 
##         13707         13711         13713         13714         13715 
## -1.957068e+01 -1.800526e+00 -2.458862e+01 -2.081789e+01 -2.139953e+01 
##         13717         13718         13721         13722         13724 
## -2.133603e+01 -2.014688e+01 -2.463718e+01 -2.223671e+01 -2.117787e+01 
##         13727         13729         13730         13731         13732 
## -2.361915e+01 -2.357050e+01 -2.333483e+01 -4.121777e+00 -1.496679e+00 
##         13733         13734         13736         13738         13739 
## -1.974251e+01 -1.495466e+00 -2.358515e+01  1.766297e+00 -2.098155e+01 
##         13743         13745         13746         13747         13749 
##  3.226924e-01 -1.162548e+00  5.223033e-01  8.506575e-01 -1.089930e+00 
##         13750         13754         13757         13758         13759 
## -2.259715e+01 -1.962664e+01 -3.260888e+00 -2.484096e+01 -1.851781e+01 
##         13761         13768         13773         13777         13778 
## -2.310169e+01 -4.039266e-01 -3.057645e+00 -2.362690e+01 -2.008024e+01 
##         13781         13787         13788         13789         13791 
## -2.356177e+01 -3.193274e-01 -2.149261e+01 -3.493584e+00 -2.373262e+01 
##         13798         13801         13802         13803         13809 
## -2.177096e+00  2.250977e+00 -3.035866e-01 -3.073112e+00 -2.360726e+01 
##         13810         13811         13827         13836         13837 
## -1.552732e+00 -3.012654e+00 -4.862860e-01 -1.847517e+00  1.012917e+00 
##         13839         13840         13844         13845         13850 
## -1.568207e+00 -7.071211e-01 -2.364656e+01 -2.303990e+00 -2.323998e+01 
##         13857         13862         13864         13865         13867 
##  3.034237e+00 -2.247515e+01 -2.375582e+01 -2.130330e+01 -1.944072e+01 
##         13869         13871         13881         13882         13886 
## -2.156410e+01 -4.538711e-01 -1.176298e+00 -1.978164e-01  1.853899e+00 
##         13887         13889         13893         13894         13897 
## -2.271701e+01 -1.952710e+00 -2.128387e+01 -2.177513e+01 -1.963523e+01 
##         13898         13899         13911         13914         13922 
## -8.383486e-01 -2.438513e+01 -2.089240e+01  1.616609e+00 -2.422890e+01 
##         13923         13928         13930         13931         13932 
## -2.094347e+01 -2.001078e+01 -2.573570e+01 -2.182769e+00 -3.411783e+00 
##         13933         13935         13936         13939         13940 
## -4.809717e-01 -1.108752e+00 -2.120275e+01 -2.395807e+01 -2.422785e+01 
##         13942         13943         13945         13947         13948 
## -2.213951e+01 -2.320393e+01 -3.650780e+00 -2.120110e+01 -2.136248e+01 
##         13952         13953         13955         13960         13967 
## -3.339747e+00 -2.207977e+00 -2.223123e+01 -1.988298e+01 -2.575064e+00 
##         13972         13975         13976         13981         13985 
## -2.098293e+01 -2.192322e+01 -3.781579e-01 -2.361379e+01 -2.226305e+01 
##         13987         13992         13996         14007         14011 
## -2.188323e+01 -2.311405e+01 -2.027333e+01 -4.617380e+00 -2.123238e+00 
##         14014         14015         14016         14032         14033 
## -5.856916e-01 -1.735959e-01 -2.367728e+01 -2.366138e+01 -2.120394e+01 
##         14041         14046         14047         14049         14051 
## -2.347363e+01 -2.094566e+01 -2.152517e+01 -2.186663e+00 -4.007452e+00 
##         14052         14055         14056         14057         14061 
## -5.343030e-01  2.018678e+00 -5.438751e-01 -2.054181e+01 -2.444478e+01 
##         14065         14067         14068         14073         14074 
## -1.862901e+01 -2.531009e+01 -2.251645e+01 -2.331050e+01 -2.373297e+01 
##         14077         14078         14079         14085         14094 
## -2.302182e+01 -1.999238e+01 -2.429266e+01 -2.107212e+01  4.652598e-01 
##         14096         14103         14115         14121         14123 
## -2.335931e+01 -1.741467e+00 -1.727189e+00 -2.398363e+01 -2.210117e+01 
##         14126         14128         14129         14135         14144 
## -2.046706e+01 -1.926641e+00 -2.145104e+01 -2.058953e+01 -2.156122e+01 
##         14147         14156         14161         14162         14163 
## -1.168517e-01 -1.765740e+00 -2.317458e+01 -2.081096e+01 -2.163649e+01 
##         14168         14169         14171         14173         14175 
## -2.153222e+01 -2.329077e+01 -1.623399e+00  2.593880e+00 -2.171509e+01 
##         14176         14185         14186         14194         14199 
## -2.087830e+01 -2.561593e+00  4.156159e+00 -2.183838e+01  2.764134e+00 
##         14201         14205         14211         14218         14219 
## -2.812774e+00  1.121678e+00 -3.631562e+00 -2.312594e+01 -2.058645e+01 
##         14223         14225         14229         14234         14238 
## -2.321515e+01 -2.447209e+01 -2.201078e+01 -2.208565e+01 -1.269901e+00 
##         14244         14250         14252         14260         14270 
## -3.864111e+00  1.781956e+00 -1.379301e+00  1.207529e+00 -9.185343e-01 
##         14275         14276         14278         14279         14281 
## -2.121040e+00 -2.179798e+01  4.094116e-01 -2.072581e+01 -1.940497e+01 
##         14285         14286         14287         14288         14289 
## -2.006190e+01 -2.087557e+01 -1.601895e+00 -1.955385e+01 -2.676727e+00 
##         14291         14292         14294         14301         14305 
## -2.366361e+01 -2.422046e+01 -2.056027e+01 -2.381561e+00 -2.142770e+01 
##         14314         14321         14327         14332         14333 
##  4.338484e+00 -2.229726e+01  5.178701e+00 -2.581112e+00 -2.491144e+01 
##         14335         14339         14340         14341         14342 
## -2.157510e+00 -1.307799e+00  3.176615e+00 -2.274410e+01 -2.250916e+01 
##         14350         14354         14356         14360         14361 
##  3.523455e+00  1.061995e+00 -2.356545e+01 -2.186683e+01  1.460607e+00 
##         14367         14369         14371         14377         14379 
## -3.682810e-01 -3.020779e+00 -2.179443e+01 -3.197043e+00 -2.250228e+01 
##         14384         14385         14386         14389         14390 
## -2.248031e+01 -2.305950e+01 -2.212383e+01 -2.136251e+01  1.443199e-01 
##         14393         14396         14404         14406         14412 
## -1.876533e+01 -2.032446e+01  7.805330e-01  5.102183e+00  4.127657e+00 
##         14419         14426         14430         14431         14432 
##  3.076803e+00  5.212422e+00 -2.085429e+01 -2.009207e+01  1.797938e+00 
##         14446         14448         14455         14461         14462 
##  1.564857e+00  2.145531e+00 -2.028811e+01 -2.100412e+01 -2.180924e+01 
##         14469         14471         14473         14475         14477 
## -1.974124e+01 -2.938185e+00 -2.246089e+01 -2.278614e+00 -1.959417e+01 
##         14483         14484         14487         14488         14489 
## -8.508982e-01 -2.418313e+01 -2.131632e+00  1.052479e+00 -3.508902e+00 
##         14490         14497         14499         14502         14504 
## -2.518619e+01 -2.299105e+01 -2.169877e+01 -2.255600e+01 -2.147230e+00 
##         14510         14512         14513         14514         14518 
## -2.237144e+01 -2.251141e+01 -2.233881e+01 -2.144764e+01 -2.182010e+01 
##         14527         14528         14529         14534         14540 
## -2.238577e+01 -1.772900e+00 -2.121072e+01 -2.400080e+01 -1.339134e+00 
##         14546         14547         14548         14549         14551 
##  3.654121e+00 -2.382249e+01 -2.088892e+01  1.183784e+00 -2.184215e+01 
##         14553         14558         14559         14561         14564 
## -2.154350e+01 -2.181852e+01 -2.712475e+00 -2.365493e+01 -2.189367e+01 
##         14566         14571         14573         14578         14579 
## -2.354164e+01 -1.024627e+00 -3.131655e+00 -2.099302e+01  3.629272e-01 
##         14582         14591         14594         14598         14603 
## -2.338890e+01 -2.411744e+01  1.060783e+00 -2.253257e+01 -1.719200e+00 
##         14605         14607         14616         14617         14622 
## -2.006922e+01 -2.216982e+01 -2.243179e+01 -2.305836e+01  6.730080e-01 
##         14630         14631         14636         14651         14655 
## -2.380649e+01 -2.261455e+01 -1.960668e+00  2.312662e+00 -2.209676e+01 
##         14658         14662         14665         14666         14670 
##  2.165548e+00  2.629929e+00 -2.158704e+01 -2.074410e+01 -2.432519e+01 
##         14672         14673         14674         14675         14676 
## -2.199647e+01 -1.984601e+00 -2.399673e+01 -2.392129e+01 -2.449348e+01 
##         14685         14687         14691         14699         14703 
## -2.378386e+01  3.164783e+00 -2.204790e+01 -2.635481e+00 -4.217597e+00 
##         14704         14705         14710         14711         14712 
## -2.309220e+01  9.562438e-01 -2.246499e+00 -2.859723e+00  4.726185e-01 
##         14719         14720         14721         14723         14724 
##  2.674628e+00 -2.268040e+01 -2.242868e+01 -3.493222e+00  4.129131e+00 
##         14725         14726         14727         14729         14733 
## -2.403275e+01 -2.371483e+00 -2.325491e+01 -2.254548e+01 -2.400158e+01 
##         14735         14746         14748         14759         14762 
## -1.900306e+00 -4.338882e+00  7.577934e-01  2.640893e+00 -2.203307e+01 
##         14764         14766         14770         14771         14773 
## -2.094790e+01 -2.199254e+01  1.292270e+00 -2.128294e+01  1.046036e+00 
##         14775         14776         14778         14786         14789 
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##         14790         14792         14796         14797         14798 
## -2.541662e-01  2.071313e+00 -4.166580e+00 -7.275883e-01 -3.747163e+00 
##         14800         14803         14804         14805         14809 
## -2.326079e+01  1.947291e+00 -2.280584e+01 -3.766848e+00 -6.661045e-01 
##         14813         14814         14824         14825         14827 
## -2.140653e+01 -2.279868e+01 -2.090193e+01  1.919822e-01 -2.325004e+01 
##         14831         14833         14836         14842         14845 
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##         14846         14848         14850         14851         14855 
## -2.245784e+01 -2.307160e+01 -9.301340e-01 -2.267584e+01 -2.113899e+01 
##         14856         14862         14864         14871         14873 
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##         14875         14876         14877         14880         14882 
## -2.235443e+01 -2.159319e+01 -2.211551e+01 -2.539476e+01 -3.462561e+00 
##         14887         14888         14892         14893         14894 
## -1.070538e+00  1.980407e+00  1.632441e+00 -5.764466e-01 -2.322057e+01 
##         14895         14905         14910         14913         14918 
## -2.182571e+01 -4.502325e+00 -2.701456e+00  3.468318e+00 -2.264613e+01 
##         14921         14926         14932         14934         14937 
## -2.374852e+01  1.491103e+00 -2.379017e+01 -2.328281e+01  2.959206e+00 
##         14945         14950         14952         14954         14955 
## -1.059471e+00 -5.351846e+00  1.337947e+00 -2.437087e+01 -2.008194e+01 
##         14956         14957         14962         14966         14968 
## -8.317087e-01 -2.290451e+01 -2.520762e+01 -2.327889e+01 -2.454828e+01 
##         14972         14974         14975         14977         14979 
## -2.096485e+01 -1.881577e+00  3.948992e-01 -2.111720e+01 -2.306802e+01 
##         14982         14985         14987         14988         15003 
## -2.385921e+01 -2.759660e+00 -2.092371e+01 -1.866523e+01 -2.064507e+01 
##         15013         15015         15018         15019         15022 
## -2.421580e+01  5.687022e-01 -2.347151e+01 -3.057826e+00 -2.413909e+01 
##         15024         15027         15028         15031         15033 
## -8.294362e-02 -2.072680e+01 -2.167648e+01 -2.136041e-01 -2.306758e+01 
##         15038         15040         15041         15042         15043 
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##         15045         15048         15049         15050         15051 
## -1.552044e+01 -8.927578e-01 -1.016245e+00 -2.298693e+01 -4.098931e+00 
##         15053         15054         15055         15056         15058 
## -3.582295e+00 -3.802795e-01 -1.510744e+00 -2.306835e+01 -2.178927e+01 
##         15061         15064         15066         15068         15073 
## -2.764858e-01 -2.412192e+00 -2.201814e+01 -8.810754e-01 -6.605744e-02 
##         15075         15084         15087         15088         15094 
## -1.474370e+00 -2.036849e+01 -2.348489e+01  1.620402e+00 -2.146278e+01 
##         15097         15098         15100         15102         15104 
## -3.217054e+00 -2.278462e+01 -2.385292e+01 -2.144155e+01 -1.938009e+00 
##         15111         15112         15115         15119         15121 
## -2.394206e+01 -2.138274e+01 -3.096352e+00 -2.092297e+01 -1.102958e+00 
##         15127         15128         15130         15135         15140 
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## -3.124121e+00 -2.230971e+01 -2.135321e+01 -2.115090e+01 -2.196073e+01 
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##         15536         15537         15538         15539         15541 
## -5.416959e+00 -2.537082e+00 -1.800652e+01 -2.037496e+01 -2.176580e+01 
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## -2.195243e+01 -1.989605e+00 -5.025355e-01 -2.246486e+01 -2.266263e+01 
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##         15580         15585         15589         15590         15595 
## -2.179448e+01 -2.341803e+01 -2.021735e+01  8.602667e-01 -2.532787e+01 
##         15602         15603         15609         15610         15611 
## -3.062832e+00 -1.368402e+00 -4.327930e-01 -2.093978e+00 -2.352111e+01 
##         15615         15619         15621         15625         15626 
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##         15628         15629         15642         15643         15644 
## -3.149593e+00 -2.473285e+01 -1.120723e+00 -2.335549e+01 -1.794350e+01 
##         15645         15651         15654         15656         15657 
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## -2.514122e+00 -9.138010e-01 -2.114263e+00 -2.254134e+01 -1.071238e+00 
##         15672         15675         15676         15678         15681 
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##         15687         15696         15698         15701         15702 
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##         15703         15712         15714         15720         15726 
## -2.107931e+01 -2.366694e+01  1.613708e+00 -4.282501e+00 -4.470256e-01 
##         15728         15730         15732         15739         15742 
## -2.351045e+01 -5.453621e+00 -1.938055e+01 -2.272966e+01  6.147169e-01 
##         15744         15745         15746         15747         15752 
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##         15755         15757         15762         15768         15769 
## -2.191963e+01  2.687872e-02 -2.299933e+00 -2.285652e+01 -2.061453e+01 
##         15775         15782         15789         15799         15801 
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##         15814         15824         15829         15834         15837 
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##         15852         15857         15859         15864         15876 
## -2.480031e+01 -2.418198e+01 -1.987326e+00 -2.151921e+01  3.940661e+00 
##         15877         15878         15879         15886         15888 
## -2.472895e+00  4.316117e+00 -5.514674e-01 -2.398235e+01 -2.369487e+01 
##         15893         15895         15898         15899         15917 
## -2.333580e+01 -4.401413e+00 -4.208977e+00 -1.236557e+00  3.539984e-01 
##         15921         15924         15927         15932         15934 
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##         15990         15993         15997         16007         16009 
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##         16012         16018         16020         16022         16038 
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##         16089         16092         16095         16103         16105 
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##         16109         16110         16111         16126         16134 
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##         16174         16180         16182         16185         16186 
## -2.116998e+01 -3.086208e-01 -1.133342e+00 -1.958643e+01 -2.219945e+01 
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##         16213         16218         16221         16223         16225 
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##         16304         16305         16307         16310         16316 
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##         16319         16324         16326         16329         16334 
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##         16425         16428         16429         16432         16434 
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##         16483         16490         16492         16496         16497 
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##         16535         16537         16541         16543         16546 
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##         16589         16590         16591         16592         16593 
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##         16615         16620         16622         16626         16629 
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##         17205         17213         17216         17218         17219 
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##         17293         17295         17301         17304         17305 
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## -3.539121e+00 -2.013458e+01  3.788705e-01 -2.242151e+01  4.908311e-01 
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##         17522         17529         17531         17532         17535 
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## -2.194172e+01 -2.346266e+01 -1.906096e+01  7.984328e-01 -2.027414e+01 
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## -2.360378e+01 -2.230994e+01 -2.448247e+01 -2.141036e+01 -2.200010e+01 
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##         17607         17608         17612         17614         17615 
## -2.272630e+01 -1.966827e+01 -1.627533e+00  4.933647e-01 -2.335978e+01 
##         17617         17620         17627         17630         17632 
## -1.196355e+00 -9.966443e-02 -2.235362e+01 -2.433174e+01  2.149369e+00 
##         17633         17637         17639         17642         17643 
## -2.140543e+01 -2.406541e+01  3.502395e-01 -1.264013e+00 -2.028217e+01 
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##         17676         17677         17682         17683         17691 
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##         17713         17722         17729         17733         17737 
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##         17738         17741         17746         17752         17754 
## -1.937813e+01 -6.948012e-01 -2.104048e+01 -1.535863e+00 -1.147732e+00 
##         17755         17762         17767         17768         17771 
## -8.503835e-01  3.779883e+00 -2.068947e+01  3.465640e+00 -4.621507e-01 
##         17772         17781         17783         17786         17787 
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##         17788         17790         17791         17795         17798 
## -2.184853e+01 -2.037972e+01 -1.997248e+01  1.356572e+00 -1.285802e+00 
##         17801         17808         17810         17822         17823 
## -1.040221e+00  4.492975e-01 -2.469734e+00 -2.226699e+01 -1.778753e+00 
##         17824         17825         17826         17828         17831 
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##         17834         17835         17836         17841         17845 
## -4.071626e+00 -2.249842e+01  2.672260e-01 -1.539641e+00  1.730158e+00 
##         17847         17851         17854         17856         17857 
## -2.114193e+01 -2.167481e+00 -2.253559e+01 -9.314773e-01 -4.092201e-01 
##         17858         17863         17872         17873         17877 
## -2.504194e+01 -2.495968e+00 -2.363870e+01 -4.486314e-02 -1.745868e+00 
##         17885         17886         17891         17894         17897 
## -3.929553e+00 -2.180306e+01  1.027409e+00 -9.381378e-01  2.537796e-01 
##         17901         17905         17906         17919         17923 
## -2.386588e+01 -2.309399e+01 -2.247651e+01 -5.670341e-02 -4.936624e+00 
##         17924         17925         17927         17934         17935 
## -2.537932e+00 -2.516865e+01  1.130026e+00 -2.067836e+01  1.309171e+00 
##         17937         17939         17947         17948         17950 
## -2.193414e+01  5.601095e+00 -2.389022e+01 -2.440351e+01  2.391023e+00 
##         17952         17953         17955         17960         17961 
## -2.088699e+01  4.500164e+00 -2.883966e+00 -2.268834e+01 -2.564073e+01 
##         17964         17967         17975         17976         17978 
## -2.844162e+00 -2.331446e+01 -3.751596e+00  2.413633e+00  4.538620e+00 
##         17979         17981         17982         17984         17990 
## -2.242073e+01 -2.191660e+01 -2.995493e+00  4.093138e+00  9.934023e-01 
##         17992         17994         18000         18001         18002 
## -2.602210e+00  2.078339e+00 -2.421844e+01 -1.978059e+01 -2.507527e+01 
##         18007         18008         18016         18019         18026 
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##         18029         18037         18050         18051         18052 
## -2.402784e+01  9.339485e-02 -2.364747e+01  1.102214e+00  8.472278e-01 
##         18055         18059         18060         18062         18063 
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##         18095         18103         18107         18111         18112 
## -2.648915e+00  2.769677e-01 -3.565458e+00 -1.946117e+01 -1.713395e+00 
##         18115         18126         18127         18131         18135 
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##         18138         18140         18146         18148         18152 
## -2.256440e+01  3.976689e-01 -8.026647e-02  5.704900e-01 -2.253339e+01 
##         18162         18163         18164         18165         18166 
## -1.661262e+00  4.331032e-01 -1.206816e+00 -2.082097e+01  4.966946e-01 
##         18168         18173         18175         18177         18179 
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##         18181         18185         18188         18198         18199 
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##         18247         18251         18253         18263         18268 
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##         18292         18297         18298         18304         18307 
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##         18315         18317         18320         18321         18323 
## -2.130084e+01  5.311109e+00  2.386242e+00  7.797391e-01  6.462677e+00 
##         18324         18326         18327         18330         18331 
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##         18356         18357         18359         18360         18371 
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## -5.836281e-02  8.277255e-01  1.872436e-01 -1.939990e-01 -1.977517e+01 
##         18390         18398         18399         18400         18402 
## -2.190628e+01  1.344127e+00  3.474444e-01 -1.992831e+01  1.322102e+00 
##         18405         18407         18408         18414         18417 
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##         18418         18420         18431         18432         18436 
## -2.195766e+01  2.077056e-01  8.693812e-01 -2.070861e+01  7.177595e-01 
##         18438         18441         18445         18451         18454 
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##         18488         18489         18498         18504         18505 
## -1.967774e+01 -5.643440e-01 -2.117137e+00 -1.466707e+00 -9.880887e-01 
##         18506         18510         18518         18531         18532 
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##         18567         18568         18569         18570         18574 
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##         18583         18590         18591         18593         18608 
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##         18615         18618         18620         18622         18623 
## -2.138001e+01  4.240751e+00  2.275683e+00 -1.966525e+01  6.238855e-01 
##         18625         18627         18629         18632         18633 
## -2.108063e+01  3.129292e+00  1.013742e+00 -1.813776e+01 -2.069798e+01 
##         18635         18636         18643         18647         18648 
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##         18661         18662         18666         18673         18676 
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##         18683         18685         18693         18694         18699 
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##         18725         18727         18738         18741         18746 
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##         19250         19253         19254         19256         19260 
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##         19406         19411         19413         19416         19419 
## -4.151272e-01 -1.985486e+01 -8.537549e-01 -2.224721e+00 -2.036873e+01 
##         19421         19423         19424         19425         19426 
## -2.222706e+01 -2.035692e+01 -2.255855e+01 -2.163001e+01 -2.137542e+01 
##         19432         19434         19439         19440         19441 
## -4.133972e+00 -2.287216e+01 -9.946547e-01 -2.240066e+01  1.998690e+00 
##         19445         19448         19452         19455         19460 
## -2.340811e+01 -5.565194e-01 -7.009937e-01 -2.183341e+01 -1.574337e+00 
##         19464         19468         19469         19473         19474 
## -1.819240e+00 -2.186090e+01  3.104513e-01 -2.088748e+01 -8.075989e-01 
##         19476         19477         19481         19489         19491 
## -2.065410e+01 -2.330889e+01 -1.127293e+00  3.654203e+00  3.645243e-01 
##         19494         19499         19501         19506         19513 
## -1.909353e+01 -1.831561e+01 -2.240894e+01 -7.419131e-01 -1.930490e+01 
##         19517         19519         19522         19523         19524 
## -1.908014e+01  6.793677e-01  1.860678e+00 -2.115103e+01 -1.921499e+01 
##         19528         19531         19533         19534         19537 
##  2.126490e+00  8.086592e-01  6.812437e-01 -2.130280e+01 -7.066195e-01 
##         19540         19543         19549         19556         19560 
## -2.160224e+01 -2.175935e+01  6.579712e-02 -1.507259e+00 -7.348978e-01 
##         19561         19563         19567         19568         19575 
##  6.463827e-01 -2.097164e+01 -8.478906e-01 -2.100907e+00 -2.121008e+01 
##         19576         19578         19581         19583         19585 
## -2.120015e+01 -3.502629e+00 -2.227644e+00 -2.247337e+01 -1.168075e+00 
##         19586         19587         19588         19597         19598 
## -1.233892e+00 -2.255111e+01 -2.334954e+01 -1.943879e+01  5.780845e-01 
##         19603         19605         19606         19607         19609 
## -2.298366e+01 -1.155642e+00 -2.131497e+01 -1.992516e-01 -2.140974e+01 
##         19611         19613         19615         19616         19618 
## -2.004794e+00 -2.137526e+01 -1.159864e+00 -8.615449e-01 -2.319323e+01 
##         19623         19624         19629         19634         19636 
## -9.132213e-01 -2.243729e+01 -7.729470e-01 -2.303925e+01 -1.094628e-01 
##         19638         19639         19646         19647         19648 
## -1.963743e+01 -2.182827e+01 -2.234460e+01  1.889729e+00  3.035390e-01 
##         19649         19659         19670         19673         19679 
## -2.018831e+01 -2.046519e+01  6.066166e-01 -2.043791e+01 -2.091359e+01 
##         19681         19682         19685         19686         19690 
## -2.218528e+01  4.478861e-01 -2.616318e+00 -1.484183e+00  2.514981e-01 
##         19692         19693         19700         19702         19704 
##  9.530604e-02  2.899106e+00 -1.715691e+01  1.306748e+00 -2.198361e+01 
##         19708         19717         19718         19721         19728 
## -2.183648e+01  9.011796e-01 -1.515853e+00 -2.174957e+01 -2.158296e+01 
##         19731         19732         19733         19736         19740 
## -2.307703e-01  3.037285e-02  6.685042e-01 -7.742410e-02  1.240575e+00 
##         19745         19755         19756         19759         19762 
## -2.082040e+01 -9.880181e-01 -2.050572e+01 -2.073085e+01 -1.739002e+00 
##         19763         19764         19766         19772         19773 
## -1.960748e+01 -2.983904e-01  1.988907e-01 -2.528142e+00 -1.114733e+00 
##         19779         19781         19782         19784         19792 
## -5.077518e-01 -2.181386e+01 -1.580566e-01 -2.432280e+00 -2.004859e+01 
##         19798         19804         19812         19813         19815 
## -2.010407e+01  1.262498e+00  2.972573e+00 -1.598603e+00  3.580848e-01 
##         19822         19824         19828         19831         19832 
## -2.242624e+01  5.465176e-01 -2.044599e+01 -1.639149e+00 -7.282011e-02 
##         19833         19835         19838         19840         19842 
## -1.926217e+01 -2.124331e+01 -6.855469e-01 -3.614604e+00 -1.995866e+01 
##         19844         19847         19850         19853         19863 
## -9.104433e-01 -2.083486e+01 -1.848912e+01 -2.195479e+01  2.891131e+00 
##         19866         19871         19873         19875         19876 
## -1.975580e+01 -1.996766e+01 -1.529782e+00 -4.533550e-01 -2.141344e+01 
##         19878         19880         19884         19885         19886 
##  1.528917e+00 -2.095920e+00 -2.060307e+01  1.199120e-01  3.270677e-01 
##         19890         19895         19896         19897         19900 
## -2.149320e+01 -1.741054e+00 -2.170524e+01  1.569275e+00 -1.972350e+01 
##         19902         19903         19907         19911         19913 
##  2.863376e+00  1.368450e+00 -2.175044e+01 -2.370129e+01  1.100010e+00 
##         19919         19920         19924         19925         19931 
## -3.852814e-01 -2.185620e+01  6.251626e-01  3.117756e+00 -2.054146e+00 
##         19936         19939         19943         19946         19952 
##  1.187324e+00 -2.161949e+01  1.690539e+00 -2.013127e+01 -2.083684e+01 
##         19953         19956         19957         19967         19971 
## -1.965266e+01  4.871937e-01 -1.856430e+01 -2.161763e+01  2.809663e+00 
##         19974         19975         19976         19977         19981 
##  3.815355e+00  9.664295e-02  2.257218e+00 -1.850211e+01  1.736378e+00 
##         19995         20005         20012         20014         20016 
## -2.287439e+01 -2.686307e+00 -2.310780e+00 -1.845901e+01 -1.934487e+00 
##         20017         20018         20022         20030         20032 
## -2.203521e+01  1.250646e+00 -1.555264e+00 -2.293999e+01 -1.500008e+00 
##         20034         20038         20039         20043         20046 
## -1.279938e+00 -2.339385e+01 -2.254790e+00 -2.033728e+01  1.454221e+00 
##         20047         20049         20058         20060         20061 
## -1.224236e+00  2.406211e-01 -2.119018e+01 -1.762260e+01 -2.177451e+01 
##         20066         20071         20075         20085         20087 
##  9.912513e-01  2.253184e+00  2.885068e+00 -2.068458e+00  2.033390e+00 
##         20091         20097         20103         20106         20112 
## -3.333676e-01  3.078653e+00  1.082715e+00 -2.156081e+01  1.073185e+00 
##         20116         20121         20124         20126         20130 
##  5.891548e-01 -2.191967e+01  6.317310e-01 -2.050724e+01 -2.081375e+01 
##         20135         20139         20142         20143         20145 
## -2.246047e+01 -1.277060e+00 -2.249519e+01 -2.119407e+01 -2.128495e+01 
##         20146         20147         20149         20155         20160 
## -2.030704e+01 -6.021787e-01  1.076608e-02  7.782397e-01 -2.092729e+01 
##         20163         20166         20167         20171         20175 
## -2.181919e+01 -2.216076e+01 -2.024146e+01  9.124514e-02 -2.108480e+01 
##         20176         20179         20183         20184         20192 
## -1.992317e+01  6.090764e-01 -2.084489e+01 -2.146860e+01 -2.010880e+01 
##         20195         20198         20202         20205         20213 
## -2.051489e+01 -2.102844e+01 -2.063283e-01 -2.126093e+01 -2.075526e+01 
##         20214         20216         20223         20225         20230 
##  2.169401e+00 -5.707976e-01 -8.273269e-01 -1.847181e+00 -2.514683e-01 
##         20233         20237         20240         20249         20250 
## -2.343158e+01 -2.093125e+01 -2.402423e+01  5.379986e-01 -2.249525e+01 
##         20251         20254         20255         20256         20258 
## -2.040860e+01 -2.463916e+00 -8.851754e-01 -2.135079e+01 -7.356387e-01 
##         20260         20262         20264         20265         20266 
## -2.032183e+01 -2.597808e+00 -2.010392e+01 -2.119463e+01 -7.764188e-01 
##         20268         20272         20273         20287         20289 
## -2.203757e+01 -2.048026e+01 -2.211655e+01 -2.105418e+01 -1.823739e+01 
##         20298         20302         20309         20310         20313 
##  1.652283e+00 -3.154414e-02 -2.103367e+01 -3.408070e-01 -5.095012e-01 
##         20315         20318         20323         20324         20327 
## -2.943097e+00 -3.110335e-01  1.480198e+00 -2.018638e+01  3.995184e+00 
##         20330         20336         20341         20344         20345 
## -4.104966e-02 -2.090691e+01 -1.819639e+00 -2.165379e+01 -2.393398e+01 
##         20350         20351         20352         20354         20355 
##  3.370149e+00 -2.212806e+01 -3.633826e+00 -2.477339e+00 -2.036281e+01 
##         20361         20362         20364         20366         20368 
## -3.500007e+00 -2.199296e+01 -1.607901e+00  8.578217e-01  6.343709e-01 
##         20375         20380         20385         20386         20388 
## -1.513421e+00 -2.044138e+01 -2.061113e+01 -2.432157e+01 -1.560433e-01 
##         20398         20399         20400         20411         20418 
##  4.036425e-01 -1.947984e+00 -2.164084e+01 -2.434326e+01 -2.723192e+00 
##         20420         20424         20428         20429         20435 
## -2.226169e+01 -2.268462e+01 -2.172943e+01 -1.534201e+00  1.485746e+00 
##         20436         20448         20459         20460         20466 
##  1.415647e+00 -1.180043e-01  6.042700e-01 -1.954962e+01 -2.044828e+01 
##         20476         20478         20480         20481         20482 
## -2.299273e+01 -5.661952e-01 -1.912392e+01 -1.955614e+01 -3.115284e-01 
##         20490         20493         20497         20498         20501 
## -2.029220e+01 -2.070656e+01 -2.695538e+00 -2.462288e+00 -2.134647e+01 
##         20503         20504         20506         20508         20519 
## -1.981153e+01 -1.897089e+01 -2.314650e+01  6.285013e-01 -2.107697e+01 
##         20521         20523         20525         20526         20528 
##  1.794735e+00 -2.310083e+01 -2.124013e+01 -1.934546e+01 -5.540013e-01 
##         20530         20532         20535         20537         20540 
## -2.321949e+01 -2.059161e+01 -1.926495e+00 -2.353618e+01  9.871125e-01 
##         20552         20555         20559         20561         20568 
## -7.244418e-01 -2.025403e+00 -3.277971e+00 -2.467601e+01 -3.238711e+00 
##         20570         20580         20584         20588         20592 
## -2.148697e+01 -1.955188e+01 -2.284214e+01 -2.242579e+01 -1.977865e+01 
##         20596         20618         20619         20625         20627 
## -2.279731e+01 -1.742399e+00 -1.948701e+01 -1.940060e+01  2.898668e+00 
##         20631         20636         20637         20640         20644 
## -2.166311e+01  2.920868e+00  6.884279e-01 -2.220024e+01 -1.983215e+00 
##         20645         20649         20651         20656         20659 
## -4.578984e-01 -2.088027e+01 -2.221143e+01 -2.434596e+01 -2.281603e+01 
##         20660         20661         20662         20664         20670 
## -2.596880e-01  3.378763e-01  6.372395e-01 -2.271988e+01 -1.997112e+01 
##         20673         20676         20679         20682         20687 
## -8.004783e-01 -1.427305e+00 -2.877048e+00 -2.036447e+01 -1.929283e+01 
##         20692         20696         20697         20698         20700 
## -1.995984e+01  1.552519e+00 -1.936507e+01  3.547157e-01 -2.142488e+01 
##         20707         20709         20718         20722         20723 
##  1.555229e-01 -2.073304e+01 -9.384125e-01 -2.109692e+01 -1.953860e+01 
##         20734         20741         20744         20747         20748 
## -3.537034e-01 -1.706350e-01  9.862543e-01 -1.457232e+00 -2.053345e+01 
##         20751         20754         20755         20756         20757 
## -2.041705e+01 -1.830315e+00 -1.845605e+01 -2.109506e+01 -8.891847e-01 
##         20758         20761         20763         20764         20771 
## -1.806279e+00 -1.977619e+00 -4.795642e-01 -2.042493e+01  2.677102e+00 
##         20773         20777         20778         20780         20782 
## -1.998626e+01 -1.851743e+01 -2.245625e+01 -4.270267e-01 -4.203085e-01 
##         20783         20790         20792         20794         20796 
## -2.250075e+01 -1.573409e+00 -1.285124e+00 -2.044890e+01 -1.059933e+00 
##         20797         20798         20803         20806         20807 
## -2.138330e+01 -2.120570e+01 -2.187746e+01  2.558170e+00 -2.099840e+01 
##         20811         20812         20814         20821         20823 
## -2.110842e+01 -2.098078e+01 -2.147190e+01 -2.116072e+01 -2.414520e-01 
##         20826         20828         20840         20841         20847 
## -2.193535e+01  1.257156e-01  3.277867e-01 -1.415148e-01  8.721275e-01 
##         20852         20855         20866         20872         20876 
## -1.727607e+00 -2.421761e+01 -2.079672e+01 -3.198752e+00  2.752211e-03 
##         20877         20882         20883         20887         20889 
## -2.075139e+01 -2.311965e+01 -1.983730e+01 -1.956029e+01 -2.286577e+01 
##         20891         20892         20897         20899         20900 
## -4.536146e-01 -1.730459e+00 -2.083012e+01  2.469851e+00 -1.957702e+01 
##         20902         20910         20912         20915         20917 
## -5.915684e-01 -2.552266e+00 -1.991389e+01 -2.093252e+01 -2.244166e+01 
##         20918         20926         20929         20930         20931 
##  7.680259e-01 -2.155971e+01  2.250093e+00 -9.420473e-01  1.771485e+00 
##         20933         20945         20949         20953         20954 
## -2.913795e+00 -5.497361e-01 -3.885597e+00 -1.966395e+01  8.034593e-01 
##         20957         20965         20973         20981         20984 
## -2.150378e+01  1.183415e+00  1.480183e+00 -2.121174e+01  4.250454e-01 
##         20991         20993         20994         21003         21004 
## -2.065497e+01 -2.300966e+01  2.899068e+00 -2.186270e+00 -2.194708e+01 
##         21007         21008         21015         21016         21017 
## -2.354185e+00 -1.891679e+01 -3.445113e+00 -2.085752e-01  1.834215e+00 
##         21023         21025         21028         21029         21033 
## -2.012437e+01 -1.902949e+01 -2.046553e+01 -2.023944e+01 -2.013159e+01 
##         21036         21039         21043         21045         21049 
## -2.166156e+01 -2.106857e+01 -2.480486e+00  1.422249e+00 -7.727637e-01 
##         21051         21055         21062         21067         21068 
## -1.981452e+01 -2.391581e+00 -2.216632e+01 -7.207458e-01  1.176664e+00 
##         21073         21074         21078         21081         21085 
## -1.424956e+00 -2.244990e+01  1.571479e+00  3.326267e-01  1.019020e+00 
##         21086         21091         21092         21096         21097 
## -1.962409e+01 -2.301265e+01  1.117426e+00 -2.213070e+01 -2.075273e+01 
##         21102         21104         21111         21112         21114 
## -2.163337e+01  2.040284e+00 -2.272424e+01 -2.215608e+01 -2.178771e+00 
##         21120         21121         21122         21126         21129 
## -2.107847e+01 -3.334118e+00 -1.712714e+01  7.268173e-01 -2.099442e+01 
##         21130         21131         21138         21145         21148 
## -2.094526e+01 -1.928738e+01 -2.303407e+01 -2.117441e+00 -2.166819e+01 
##         21149         21153         21155         21158         21159 
## -2.327951e+01 -7.550871e-01 -2.230284e+01 -2.239018e+01 -9.580718e-01 
##         21164         21165         21170         21175         21180 
## -2.430941e+01 -1.049833e+00 -2.122600e+01 -1.380256e+00 -9.663914e-01 
##         21182         21196         21197         21198         21200 
## -2.016060e+01 -2.295575e+01 -2.359929e+01 -2.416286e+01 -4.675297e-01 
##         21203         21204         21216         21220         21221 
## -2.202770e+00 -2.198703e+01 -2.081975e+01 -8.741371e-01 -2.172808e+01 
##         21223         21226         21227         21229         21231 
## -2.227713e+01  6.295495e-02 -1.445333e+00 -2.154314e+01  3.095738e-01 
##         21235         21237         21240         21246         21249 
## -2.003235e+01 -2.307824e+01 -2.685715e+00 -2.784981e+00 -1.902584e+01 
##         21254         21257         21261         21262         21263 
## -2.332089e+01 -2.293483e+01 -2.056423e+01  1.485990e+00 -2.048189e+01 
##         21264         21265         21266         21267         21273 
##  1.516210e+00  4.201538e+00 -1.740234e+00 -2.256769e+01  1.996631e-01 
##         21278         21279         21281         21283         21287 
##  9.063213e-01 -1.907131e+01 -1.993902e+01 -2.334390e+01 -4.029847e-01 
##         21288         21293         21296         21302         21303 
## -3.248369e+00 -2.153220e+01 -2.182552e+01  1.694283e+00 -2.146880e+01 
##         21305         21306         21308         21310         21311 
## -2.406964e+00 -1.702076e-01 -2.005793e+00 -2.064574e+01 -1.871339e+01 
##         21317         21320         21322         21323         21325 
## -1.910479e+01  2.071748e+00  2.096268e+00 -1.302459e+00 -1.982929e+01 
##         21326         21331         21332         21333         21338 
## -3.824487e+00 -2.197935e+01 -2.183276e+01 -2.131741e+01 -2.221993e+01 
##         21341         21342         21349         21351         21352 
## -1.231840e+00 -7.535217e-01 -2.069408e+01 -2.115604e+01 -2.017477e+01 
##         21354         21366         21370         21371         21374 
## -2.076011e+01 -1.883482e+01 -2.044344e+01 -1.850465e+01 -2.475421e+01 
##         21380         21384         21387         21388         21390 
## -2.095174e+01 -2.362500e+00 -1.958605e+01 -2.234269e+01  1.044775e+00 
##         21397         21399         21411         21412         21415 
## -2.114717e+01 -2.242653e+01 -2.108115e+01 -7.413374e-02 -2.102147e+01 
##         21416         21417         21426         21429         21435 
## -2.284331e+01 -2.191844e+01 -2.076433e+01 -2.127379e+01 -2.491200e+01 
##         21437         21441         21449         21450         21453 
## -1.390844e+00 -2.053651e+01 -2.027293e+01 -3.648431e+00 -2.351729e+01 
##         21454         21456         21457         21462         21463 
## -2.226235e+01  8.945926e-02 -2.107917e+01 -3.029315e+00 -2.075896e+01 
##         21468         21470         21473         21475         21476 
##  1.766920e+00 -1.713734e+00  1.697505e+00  3.386699e+00 -1.935701e+01 
##         21477         21478         21479         21483         21488 
## -1.899291e+01 -4.253343e-01 -1.851703e+01 -2.161954e+01 -1.979666e+01 
##         21491         21492         21497         21498         21501 
## -2.254463e+01 -1.933875e+01  1.648410e+00 -2.200632e-01 -2.232267e+01 
##         21502         21505         21513         21514         21515 
## -1.742557e+01 -2.029047e+01  2.077399e-01 -2.216019e+01  2.384944e+00 
##         21520         21528         21529         21539         21540 
##  5.927712e-01 -2.097406e+01  3.404336e+00 -1.960456e+01  1.420151e+00 
##         21543         21546         21550         21564         21567 
##  1.565689e+00  1.251782e+00  2.351480e-01 -2.126430e+01 -2.541946e+00 
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##         21679         21680         21684         21686         21688 
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##         21692         21693         21695         21697         21698 
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##         21700         21711         21712         21716         21717 
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##         21718         21719         21720         21721         21723 
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##         21726         21727         21728         21731         21735 
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##         21736         21742         21743         21744         21750 
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##         21756         21760         21761         21762         21769 
## -1.035999e-01 -2.133594e+01 -2.165561e+01 -2.033687e+01  2.136042e+00 
##         21772         21776         21781         21791         21792 
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##         21794         21809         21810         21814         21815 
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##         21816         21817         21819         21827         21829 
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##         21848         21852         21853         21858         21859 
## -7.531776e-01 -2.044263e+01 -1.122979e+00 -1.108418e+00 -2.188312e+01 
##         21867         21874         21875         21876         21879 
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##         21881         21884         21885         21888         21890 
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##         21891         21894         21898         21902         21906 
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##         21907         21908         21911         21915         21918 
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##         21921         21928         21930         21931         21933 
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##         21934         21940         21945         21950         21952 
## -2.234190e+01 -2.335907e+01 -2.013753e+00 -7.093115e-01 -3.620604e+00 
##         21955         21956         21957         21958         21960 
## -2.273228e+01 -3.386064e+00 -8.087145e-01 -2.177858e+01 -2.014231e+01 
##         21961         21962         21963         21964         21965 
##  4.991466e+00  2.300883e-01 -8.127030e-01 -2.037990e+01 -3.382160e+00 
##         21973         21975         21980         21982         21984 
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##         21986         21988         21994         21995         21996 
## -2.296223e+01  2.696005e+00 -3.530984e+00 -2.061553e+01  1.144342e+00 
##         22001         22006         22014         22018         22023 
## -2.007115e+01 -2.760769e+00 -1.407039e+00 -2.017208e+01  8.745907e-01 
##         22025         22026         22031         22033         22041 
## -2.124252e+01 -2.244822e+01 -2.687661e+01 -1.495157e+00 -2.314152e+01 
##         22044         22047         22048         22051         22059 
## -2.352002e+01 -2.203531e+01 -9.297981e-01 -2.202121e+01 -2.490722e+01 
##         22061         22062         22064         22072         22073 
## -2.651547e+00 -1.725171e-01 -9.193750e-01 -2.110789e+01 -2.067069e+01 
##         22074         22079         22084         22089         22091 
## -2.251967e+01 -3.116139e+00 -2.077183e+00 -1.025967e+00 -2.081911e+01 
##         22097         22103         22111         22117         22118 
## -2.164024e+00  1.077710e+00 -2.155126e+01 -1.117738e+00 -2.229198e+01 
##         22124         22127         22128         22134         22135 
## -2.307672e+00 -1.953254e+01 -1.067167e+00 -2.331023e+01  1.731423e+00 
##         22142         22147         22150         22159         22161 
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##         22167         22170         22172         22176         22182 
## -1.480927e+00  1.400614e+00 -2.165216e+01 -2.374928e+01 -1.966074e+01 
##         22183         22193         22195         22199         22201 
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##         22207         22208         22213         22218         22219 
## -1.866388e+01  2.051463e-01 -1.975709e+01 -2.166810e+01 -1.606064e+00 
##         22225         22226         22227         22233         22236 
## -1.955549e+01 -2.130869e+01 -3.924769e-01 -2.001836e+01 -1.986022e+01 
##         22242         22243         22244         22246         22247 
## -2.209368e+01 -2.083418e+01 -1.980032e+01 -8.655361e-01 -1.999147e+01 
##         22253         22256         22257         22258         22259 
## -2.261290e+01  1.611991e+00 -2.026118e+01 -2.146439e+01 -2.035921e+01 
##         22260         22266         22269         22271         22274 
## -1.380075e+00 -2.546465e+00 -4.026036e+00 -2.659678e+00 -1.182754e+00 
##         22279         22280         22281         22285         22295 
## -2.334529e+01 -2.168044e+01 -2.244741e+01 -2.253683e+01 -2.457442e+00 
##         22297         22298         22304         22308         22312 
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##         22314         22322         22324         22326         22327 
## -2.472482e+00 -2.023455e+01 -7.475185e-01 -9.408476e-01  2.308670e+00 
##         22330         22343         22344         22345         22346 
## -2.195946e+01 -2.128573e+01 -3.206668e+00 -1.778247e+01 -1.987250e+01 
##         22349         22350         22354         22355         22357 
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##         22358         22360         22363         22364         22366 
## -1.957152e+01 -2.155930e+01 -2.207523e+01 -2.041696e+01 -6.763154e-01 
##         22368         22369         22370         22375         22376 
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##         22382         22383         22384         22386         22387 
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##         22388         22394         22399         22404         22406 
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##         22407         22411         22414         22417         22425 
## -3.315385e+00 -1.438907e+00 -2.161555e+00 -6.878164e-01  1.021118e+00 
##         22427         22429         22433         22434         22435 
## -1.209898e+00  1.257396e+00 -2.395186e+01 -2.008926e+01 -1.878866e+01 
##         22437         22441         22442         22449         22450 
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##         22458         22459         22463         22472         22473 
## -1.712224e+00  8.510244e-01 -2.213529e+01 -3.452695e+00  2.358065e+00 
##         22475         22476         22477         22479         22490 
## -2.020786e+01 -2.358547e+01 -4.452918e+00 -2.371261e+01 -2.092342e+01 
##         22491         22496         22501         22504         22506 
## -1.969020e+01  6.029159e-01 -8.749485e-01 -1.240893e+00 -2.118562e+01 
##         22509         22510         22518         22524         22526 
## -2.162703e+01  1.763821e+00  5.780635e-01 -2.068159e+01 -2.144895e+01 
##         22528         22529         22531         22535         22537 
## -4.829422e-01  5.972903e-01 -3.682313e+00 -1.207128e+00 -9.155553e-01 
##         22540         22542         22543         22552         22557 
## -2.083250e+01 -2.222744e+01 -2.149510e+01 -1.611377e+00 -2.068541e+01 
##         22562         22566         22567         22569         22570 
## -2.126293e+01 -2.756706e-01 -2.348524e+01 -1.855187e+00 -2.234182e+01 
##         22572         22576         22579         22582         22583 
## -2.130679e+01 -2.206389e+01 -2.125757e+01  1.534636e+00 -1.198231e+00 
##         22588         22589         22590         22598         22603 
## -2.098682e+01 -2.236640e+01 -3.287386e+00  2.691870e+00 -2.302388e+01 
##         22604         22606         22618         22619         22626 
## -1.877567e-01 -2.011947e+01 -2.022854e+01  7.354884e-01 -2.256421e+01 
##         22628         22636         22638         22640         22646 
## -2.082557e+01 -2.490800e+01 -2.104793e+01 -2.122623e+01  2.886815e+00 
##         22647         22654         22659         22660         22663 
## -2.114171e+01 -1.914675e+01 -2.329984e+01 -2.036606e+01 -1.988731e+01 
##         22664         22670         22674         22679         22681 
## -6.444103e-01 -2.257873e+01 -2.613158e-01 -2.137504e+01  8.972715e-01 
##         22685         22687         22691         22698         22700 
## -2.375781e+01  3.080939e-01  6.880919e-01 -2.664168e+00 -3.710776e+00 
##         22701         22705         22708         22710         22713 
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##         22716         22718         22721         22729         22731 
## -1.888632e+01 -2.203107e+00 -7.550265e-01  3.004369e-01 -3.058386e+00 
##         22735         22739         22740         22741         22744 
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##         22745         22747         22749         22751         22757 
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##         22765         22773         22774         22776         22778 
## -2.157745e+01  6.917727e-01 -2.181717e+01 -1.884533e+01 -2.353850e+01 
##         22782         22786         22794         22797         22798 
## -2.269923e+01  8.432798e-01  1.282081e+00 -4.528917e+00 -2.326424e+00 
##         22800         22801         22805         22806         22809 
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##         22814         22817         22820         22823         22825 
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##         22826         22829         22830         22832         22833 
## -2.620686e+00  3.735843e-01 -2.333229e+01 -2.108981e+01 -1.974702e+01 
##         22843         22849         22850         22851         22854 
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##         22857         22860         22862         22864         22865 
## -2.433708e+01  2.466192e+00  2.081580e+00 -2.406410e+01 -3.126628e+00 
##         22872         22873         22876         22879         22880 
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##         22885         22886         22897         22898         22901 
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##         22910         22913         22922         22926         22929 
## -2.080372e+01 -9.543659e-01 -1.858399e+01 -2.093933e+01 -1.990234e+01 
##         22931         22933         22939         22940         22944 
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##         22945         22950         22955         22957         22958 
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##         22959         22961         22967         22971         22976 
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##         22980         22983         22987         22991         22993 
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##         22994         22996         22998         23001         23004 
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##         23005         23006         23008         23010         23015 
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##         23017         23018         23026         23028         23030 
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##         23040         23046         23048         23052         23058 
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##         23066         23076         23092         23102         23109 
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##         23145         23149         23153         23155         23158 
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##         23184         23191         23193         23197         23199 
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##         23222         23223         23225         23226         23228 
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##         23517         23518         23519         23523         23524 
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##         23525         23527         23529         23533         23540 
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##         23541         23544         23549         23550         23551 
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##         23554         23555         23557         23561         23562 
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##         23565         23567         23570         23574         23575 
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##         23583         23584         23587         23588         23592 
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##         23593         23594         23598         23599         23604 
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##         23605         23610         23612         23613         23615 
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##         23616         23619         23620         23621         23626 
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##         23635         23640         23641         23642         23646 
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## -2.007418e+01 -2.196569e+01 -9.748853e-01 -3.443147e+00 -2.020851e+01 
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##         26156         26157         26158         26160         26163 
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##         26165         26166         26169         26170         26171 
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##         26173         26176         26180         26184         26194 
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##         26197         26199         26204         26205         26212 
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##         26243         26245         26246         26256         26258 
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##         26269         26271         26273         26277         26278 
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##         26287         26288         26292         26297         26301 
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##         26308         26309         26310         26316         26317 
## -2.147429e+01 -3.676516e+00 -1.965070e+01 -2.004424e+01 -5.190083e-01 
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##         26357         26366         26367         26373         26376 
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##         26380         26382         26384         26385         26388 
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##         26392         26393         26394         26398         26399 
## -2.486048e+00 -2.132608e+01  1.385054e+00 -1.903106e+01 -2.190247e+01 
##         26400         26403         26406         26407         26411 
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##         26412         26414         26418         26422         26427 
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##         26431         26433         26437         26443         26444 
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##         26445         26451         26459         26460         26466 
## -1.302939e+00 -2.308037e+01 -1.921412e+01 -1.092883e+00 -3.929828e-01 
##         26472         26480         26482         26484         26485 
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## -1.605675e+00 -3.086933e+00 -2.204856e+01 -1.923766e+01  2.473885e+00 
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##         26552         26558         26559         26563         26572 
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##         26573         26575         26577         26578         26579 
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##         26664         26666         26668         26678         26683 
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##         26815         26818         26819         26820         26824 
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##         26857         26858         26863         26871         26874 
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##         26889         26891         26894         26895         26896 
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##         26899         26900         26903         26908         26909 
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##         26922         26925         26926         26927         26930 
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##         27089         27091         27092         27094         27099 
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##         27102         27115         27120         27121         27122 
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##         27123         27127         27128         27130         27134 
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##         27147         27149         27150         27153         27154 
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##         27832         27835         27837         27845         27849 
## -2.032508e+01 -2.340597e+01 -1.965138e+00 -2.024640e+01 -2.528570e+01 
##         27854         27856         27858         27859         27861 
## -2.422014e+01 -2.904809e+00 -2.243340e+01 -2.355884e+01 -2.453032e+01 
##         27862         27864         27866         27867         27873 
## -2.472024e+01 -7.032268e-01 -4.075075e+00  4.647302e-01 -2.131572e+01 
##         27876         27879         27882         27885         27886 
## -2.406119e+01  9.677561e-01 -5.624220e+00 -2.498498e+01  1.850875e+00 
##         27892         27895         27897         27899         27903 
## -2.098782e+00  2.996380e-01  1.640295e+00 -1.920424e+00  9.047591e-01 
##         27905         27906         27908         27912         27914 
## -1.406015e+00 -2.186652e+01 -1.880780e+00 -2.024581e+01  2.601418e+00 
##         27915         27919         27921         27923         27924 
## -1.715275e-01 -2.364929e+01 -2.377229e+01 -1.785967e+01 -2.035550e+01 
##         27928         27942         27947         27949         27952 
## -1.913662e+01 -3.066730e+00 -2.394183e+01 -2.323530e+01  2.213925e+00 
##         27955         27960         27961         27965         27969 
## -1.639846e+00 -3.052831e-01 -2.282366e+01 -2.324407e+01 -2.321197e+01 
##         27970         27974         27976         27977         27983 
## -2.362392e+01 -2.587157e+00  2.541353e+00  3.253533e-01 -2.276698e+01 
##         27987         27989         27996         27997         28006 
## -2.901400e+00 -2.091055e+01  9.511269e-01 -2.593286e+00 -2.331973e+01 
##         28020         28032         28041         28043         28048 
## -2.111804e+01 -2.306157e+01 -2.325050e-01 -2.199505e+00 -1.871052e+01 
##         28050         28051         28052         28057         28060 
##  1.932815e+00 -1.134675e+00 -1.963778e+01 -2.249863e+01  1.445616e+00 
##         28061         28065         28067         28075         28080 
## -2.110009e+01  3.446393e+00 -1.933804e+00 -2.126063e+01 -2.172638e+01 
##         28081         28083         28085         28089         28097 
## -2.210932e+01 -2.150559e+01 -2.258338e+01 -2.343830e+01 -2.361540e+01 
##         28098         28104         28105         28106         28107 
## -2.397728e+01 -1.777421e+00  2.361778e-01 -2.453755e+01 -2.191229e+01 
##         28109         28111         28113         28114         28119 
## -7.691958e-01  4.058504e-01 -1.901651e+01 -2.160056e+01 -2.359413e+01 
##         28120         28121         28123         28126         28127 
## -2.141408e+00  1.733836e+00 -2.189884e+01 -8.907646e-01 -2.265461e+01 
##         28129         28130         28132         28146         28150 
## -2.346061e+01 -2.036878e+01 -1.284385e+00 -2.140788e+01 -1.763252e+01 
##         28152         28153         28154         28155         28156 
##  1.104024e+00 -2.193520e+01 -1.695570e+01 -2.287636e+01 -2.413285e+01 
##         28166         28171         28173         28175         28182 
## -2.262637e+01 -1.147072e+00 -2.348560e+01 -2.310559e+01 -2.168080e+01 
##         28183         28186         28188         28196         28198 
## -1.944117e+00 -1.465363e+00 -4.269473e-01 -3.004739e+00 -2.075597e+01 
##         28201         28205         28209         28210         28213 
##  2.187286e+00 -1.748844e+01 -1.970110e+01 -2.172178e+01  2.723012e+00 
##         28214         28215         28218         28221         28224 
## -1.084169e+00 -2.342029e+01 -7.003758e-01 -2.154132e+00 -1.792811e+00 
##         28225         28230         28232         28237         28239 
## -2.245355e+01 -2.142184e+01  3.683385e-01  1.333779e+00 -1.177826e+00 
##         28240         28241         28243         28246         28252 
## -2.128583e+01 -2.308093e+00  9.637799e-01 -2.104457e+01 -2.518965e+00 
##         28253         28255         28256         28259         28262 
## -2.186535e+01 -2.113737e+01  1.702023e-01 -2.397095e+01 -2.187277e+01 
##         28267         28268         28280         28281         28285 
##  2.157203e+00  1.049182e+00 -4.681659e-01  1.306857e+00  1.956318e+00 
##         28288         28290         28295         28296         28302 
## -2.111376e+01 -1.878828e-01 -2.300418e+00 -2.884491e+00 -2.200234e+01 
##         28303         28305         28308         28310         28311 
## -2.153207e+01 -1.373062e+00 -1.794551e+00 -3.946295e-01 -2.498405e+01 
##         28314         28315         28318         28319         28320 
## -8.255057e-01  3.566748e+00  2.526238e+00 -6.424364e-01  9.593013e-01 
##         28331         28337         28338         28339         28342 
## -2.278436e+01 -2.169373e+01 -2.171759e+01 -1.168342e+00 -9.348674e-01 
##         28344         28349         28351         28353         28355 
## -4.078359e-02 -3.289916e+00 -2.129933e+01 -2.182817e+01 -2.170937e+00 
##         28357         28360         28367         28374         28376 
##  2.967921e-01 -2.481473e+01 -1.668974e+00 -1.311394e+00 -3.148762e+00 
##         28378         28382         28390         28403         28405 
## -1.775833e+00  1.089882e+00  2.046448e-01 -2.063832e+01 -2.387508e+01 
##         28410         28417         28420         28429         28431 
##  6.823674e-01 -2.208168e+01 -1.750139e+00 -1.156315e+00 -1.412582e+00 
##         28433         28438         28441         28444         28446 
## -2.235625e+01 -1.788762e+00 -3.075747e+00 -1.977385e+01 -1.847798e+00 
##         28447         28448         28452         28456         28459 
##  1.217040e+00 -8.311702e-01  3.824309e+00 -2.105855e+01 -2.218842e+01 
##         28462         28464         28466         28471         28473 
## -2.174178e+01 -2.314146e+01 -2.232290e+01 -2.047354e+01 -3.452772e+00 
##         28476         28480         28483         28484         28489 
## -2.172825e+01 -2.108458e+01 -1.928271e+01 -1.009754e+00 -2.200927e+01 
##         28490         28496         28500         28504         28508 
## -1.792616e+01 -3.344326e+00 -2.339850e+01  3.760978e-01 -2.434149e+01 
##         28509         28510         28513         28525         28527 
##  4.088978e-01 -2.122218e+01  9.915852e-02 -2.104627e+01  1.676897e-01 
##         28528         28530         28531         28532         28533 
## -2.258118e+01 -2.363017e+01 -2.165634e+01 -2.317485e+01 -2.815238e+00 
##         28535         28537         28542         28544         28546 
##  2.799540e+00 -2.335174e+01 -2.039290e+01 -4.356603e+00 -7.387102e-01 
##         28553         28555         28557         28561         28562 
## -2.183555e+01 -5.087631e+00  3.735389e+00 -2.190826e+01 -2.308776e+01 
##         28571         28575         28579         28583         28587 
## -1.939376e+01 -2.988861e+00  1.557133e+00 -1.825267e+01 -1.021450e+00 
##         28595         28596         28599         28602         28603 
##  4.002170e-01  2.316094e+00  4.573036e-01 -1.451753e+00  2.654401e+00 
##         28611         28613         28622         28624         28625 
## -2.009699e+01 -1.162297e-01 -2.395290e+01 -3.037145e+00 -2.141785e+01 
##         28629         28631         28638         28639         28640 
## -2.054208e+01  6.886146e-01 -2.153214e+01  3.343095e+00 -2.354952e+01 
##         28645         28651         28652         28653         28657 
## -2.780591e+00 -2.223675e+01  1.128280e+00  9.574593e-01 -2.259738e+01 
##         28658         28660         28662         28663         28664 
##  1.365139e-01 -2.167568e+01 -2.088651e+01 -2.449638e+01  1.340305e+00 
##         28668         28671         28674         28678         28680 
## -2.381785e+00 -1.926163e+01 -3.077913e+00  2.646499e+00 -2.397488e+01 
##         28684         28692         28695         28696         28698 
## -2.032646e+01 -2.320146e+01 -2.212608e+01 -2.097959e+01 -2.197859e+01 
##         28703         28705         28707         28708         28710 
## -2.616120e+00  9.403398e-01 -1.797508e+01 -1.214696e+00 -3.162412e+00 
##         28714         28716         28721         28730         28738 
## -2.240206e+01  2.240937e+00  5.197255e-02 -2.188802e+01 -9.730647e-01 
##         28740         28746         28750         28753         28758 
## -6.954358e-01 -2.330005e+01 -2.238770e+01 -2.148433e+01 -2.286601e+01 
##         28765         28767         28769         28771         28775 
## -2.179694e+01 -2.405077e+01 -4.077284e-01 -4.437155e+00 -2.239662e+01 
##         28776         28779         28780         28781         28782 
## -2.079980e+01 -1.939345e+01 -2.082588e+01 -2.288985e+00 -2.239495e+01 
##         28791         28794         28797         28798         28802 
## -2.523116e+01 -3.009915e+00 -2.687124e+00 -1.342111e+00  5.288852e-02 
##         28811         28812         28814         28817         28826 
##  1.275624e+00 -4.063867e-01 -2.013413e+01 -2.106657e+01 -2.051653e+01 
##         28828         28835         28841         28842         28843 
## -2.188986e+01 -2.071162e+01 -3.502269e+00 -2.126195e+01 -2.252057e+01 
##         28844         28846         28848         28860         28865 
## -1.085558e+00 -2.230492e+01 -2.142549e+01 -3.126097e+00 -1.858286e+01 
##         28867         28871         28882         28883         28885 
## -2.083755e+01 -2.165764e+01 -2.202749e+01 -2.171224e+01 -2.746446e+00 
##         28896         28899         28900         28901         28903 
## -2.478311e+00 -1.980764e+01  2.295757e+00 -8.590946e-01  3.062842e+00 
##         28905         28908         28909         28919         28920 
##  4.292677e-01  8.464564e-01 -1.980831e+01 -2.051926e+01 -2.325978e+01 
##         28921         28923         28925         28926         28931 
## -3.044058e+00  2.386785e-01 -2.100270e+01 -6.885157e-01 -2.116670e+01 
##         28934         28937         28938         28939         28950 
##  4.448349e-01 -4.156767e+00 -2.223211e+01 -2.250672e+01 -2.436511e+00 
##         28951         28952         28956         28960         28961 
## -2.368808e+01  1.164144e+00 -2.252479e+01 -1.997114e+01 -5.450081e-01 
##         28969         28973         28974         28975         28981 
## -9.206770e-01 -2.161900e+01 -2.181534e+00 -3.395743e+00 -2.246606e+01 
##         28983         28987         28994         28995         29000 
## -2.453651e+01 -4.630883e-01 -1.942465e+01 -3.542509e+00 -3.649610e+00 
##         29001         29004         29009         29015         29026 
## -1.791903e+01 -2.368989e+00 -2.172849e+01 -2.139127e+01 -4.160723e+00 
##         29028         29036         29041         29043         29045 
## -2.163494e+01 -2.101995e-01 -2.283816e+01  3.216821e+00 -2.197756e+01 
##         29054         29060         29065         29066         29067 
## -2.344144e+01 -2.468257e+01 -2.128910e+01 -2.433902e+01 -2.354109e+01 
##         29068         29070         29072         29077         29081 
## -2.249857e+01 -1.976929e+00 -4.343950e+00 -1.575931e+00 -7.517668e-04 
##         29082         29083         29085         29096         29099 
##  2.534049e+00 -3.697432e+00 -2.011093e+01  5.318044e+00 -2.159828e+01 
##         29104         29113         29115         29117         29118 
## -1.028041e+00  7.346244e-01  9.671239e-01  1.730145e+00 -2.095569e+01 
##         29120         29123         29124         29126         29128 
## -2.582806e+01 -2.241045e+01  3.120359e-01  1.600754e+00 -2.552133e+00 
##         29130         29131         29134         29142         29149 
## -2.492487e+00  1.034005e-01 -3.735046e+00  3.818082e+00 -3.980095e+00 
##         29151         29153         29155         29158         29159 
##  3.787684e-01 -2.335424e+01 -2.245761e+01  5.341383e+00 -9.229226e-01 
##         29161         29165         29167         29169         29173 
## -3.357582e+00  1.115813e+00 -2.154514e+01 -2.126257e+01 -2.490536e+01 
##         29182         29183         29184         29186         29192 
## -2.482091e+01 -2.390500e+00 -3.664564e+00 -2.387248e+01  1.815070e+00 
##         29194         29196         29199         29204         29206 
##  1.803293e+00 -2.353515e+01 -3.196022e+00 -2.693272e+01 -2.127050e+01 
##         29207         29208         29210         29212         29214 
## -2.299187e-01 -2.024225e+01 -2.263427e+01 -1.685915e+00 -3.581916e-01 
##         29215         29218         29226         29230         29234 
## -2.335188e+01  2.352702e+00 -2.186290e+00 -2.288966e+01 -4.093789e-02 
##         29235         29242         29243         29244         29247 
## -1.943900e+00 -2.213976e+00 -3.112813e+00 -1.383270e+00  3.009769e+00 
##         29253         29261         29265         29266         29267 
## -6.338430e-01 -9.874671e-02  6.893510e-01 -1.839357e-01 -2.012838e+01 
##         29272         29275         29282         29288         29291 
## -4.713257e-01 -2.236045e+01 -1.972944e+01  8.614908e-01 -1.321250e+00 
##         29292         29293         29296         29309         29315 
## -1.486917e+00 -1.437462e+00  3.169708e+00  3.292106e+00 -3.874161e-01 
##         29325         29326         29328         29337         29343 
## -1.877788e+01 -2.124985e+01 -4.816428e+00 -2.178745e+01 -1.540684e+00 
##         29344         29345         29349         29355         29360 
## -2.802554e+00 -2.235169e+01 -2.150717e+01 -1.926109e+00  5.536445e-01 
##         29362         29364         29365         29376         29378 
##  3.237844e+00  1.697598e+00 -2.074445e+01 -2.119478e+01 -2.091862e+01 
##         29381         29386         29387         29393         29394 
## -2.180034e+01  6.860208e-01 -2.121499e+01  9.451269e-01  1.061091e+00 
##         29401         29404         29409         29412         29414 
##  2.370500e+00 -5.075007e-01 -1.877426e+00 -9.807864e-01 -2.139412e+01 
##         29421         29443         29449         29450         29452 
## -2.339454e+01 -3.757707e+00 -4.778246e-01 -2.140871e+00 -2.250881e+01 
##         29454         29460         29461         29468         29471 
##  3.129061e-01 -2.269411e+00 -2.461661e+01 -2.128225e+01 -3.435917e+00 
##         29474         29479         29481         29483         29489 
## -6.180030e-01  3.550832e-01 -3.114063e+00 -1.832605e+01 -1.935189e-01 
##         29494         29495         29496         29506         29519 
## -1.910927e+01 -2.398572e+01  1.569252e+00 -2.154001e+01 -1.716925e+00 
##         29521         29522         29527         29528         29529 
##  9.568059e-02 -7.395869e-01 -2.385898e+01 -1.053301e+00 -9.490463e-01 
##         29530         29532         29534         29538         29539 
##  5.872965e-01  4.277089e+00 -8.211568e-01  1.073407e+00 -2.136978e+01 
##         29540         29543         29553         29554         29555 
## -5.406439e-01 -4.213386e-01 -2.309057e+01 -2.331923e+01 -2.212671e+01 
##         29556         29559         29560         29561         29564 
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##         29567         29568         29574         29576         29584 
## -2.088785e+01 -2.270220e+01 -2.074202e+01  4.644872e-02 -1.932107e+00 
##         29592         29596         29598         29600         29605 
## -1.048292e+00 -1.997674e+01 -9.622938e-02 -1.328482e+00 -3.606288e-02 
##         29606         29607         29609         29611         29618 
## -2.095584e+01 -2.206319e+01 -2.245365e+01  1.446326e+00 -2.336531e+01 
##         29620         29621         29624         29630         29644 
## -2.112439e+01 -2.101581e+01 -2.200367e+01 -7.445623e-01 -2.237182e+01 
##         29646         29649         29650         29651         29652 
## -1.907606e+00  7.236662e-01  2.216246e-01 -1.109656e+00 -2.250188e+01 
##         29654         29656         29657         29667         29668 
## -2.281882e+01 -2.099978e+01 -1.839802e+01 -2.280711e+01 -8.198247e-02 
##         29669         29671         29673         29677         29679 
## -2.124586e+00 -1.667022e+00 -2.043966e+01 -7.386485e-01 -3.250649e+00 
##         29691         29692         29694         29695         29705 
## -1.926040e+01 -2.324348e+01 -2.091495e+01 -2.169452e+01 -2.178899e+01 
##         29718         29719         29721         29723         29724 
## -1.949675e+01 -2.787666e+00 -2.006727e+01 -2.157422e+01 -2.731206e+00 
##         29730         29731         29732         29733         29736 
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##         29738         29739         29747         29748         29751 
## -2.320680e-01  1.043666e+00 -3.162604e+00  1.321357e+00  1.368473e+00 
##         29762         29763         29765         29775         29776 
## -2.251114e+00 -2.096024e+01  1.811488e+00 -1.489359e+00 -1.018446e-01 
##         29782         29783         29786         29791         29792 
## -7.822467e-01 -5.313931e-01 -2.077830e+01 -1.960528e+01 -2.251307e+00 
##         29796         29798         29802         29804         29805 
## -1.431438e-01 -2.130018e+01 -2.024107e+01  2.897162e-01 -1.979181e+01 
##         29806         29807         29809         29813         29817 
## -2.142413e+01  6.291699e-01 -2.249488e+01 -6.400986e-01  1.264107e+00 
##         29819         29821         29824         29827         29830 
## -2.363130e+01  9.570138e-01 -2.241716e+01 -2.270693e+01 -1.126406e+00 
##         29835         29837         29838         29853         29854 
## -1.985188e+01 -1.423629e+00 -2.180827e+01 -3.089317e-01 -2.027567e+01 
##         29858         29866         29870         29876         29877 
## -2.203723e+01 -3.202092e-01 -3.081586e+00 -2.018980e+01 -2.152029e+01 
##         29878         29882         29884         29888         29893 
## -2.906068e+00  3.629894e+00 -2.104256e+01 -2.199419e+01 -2.334982e+01 
##         29894         29897         29900         29902         29903 
## -2.430929e+01  1.062976e+00 -2.353166e+01  1.694051e+00 -1.995144e+01 
##         29904         29907         29916         29920         29926 
## -2.639347e-01 -2.128662e+01 -2.193013e+01 -7.492038e-01 -2.712511e+00 
##         29927         29930         29935         29941         29944 
## -2.432364e+01 -2.333098e+00  1.066642e+00 -2.132731e+01 -2.252119e+01 
##         29950         29954         29959         29960         29961 
## -5.978012e-01  1.337707e+00 -1.878693e+01 -2.286215e+01 -1.979814e+01 
##         29963         29967         29978         29980         29981 
## -1.906684e+01  2.805947e+00 -1.458465e+00 -2.847441e+00 -2.007843e+01 
##         29984         29986         29992         29993         29996 
## -1.017563e+00 -1.189758e+00 -1.556675e-01 -1.976695e+01 -2.126737e+00 
##         30002         30003         30006         30007         30013 
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##         30014         30016         30017         30019         30021 
## -2.104282e+01 -7.082733e-01 -8.732404e-01 -2.321889e+01 -2.434897e+01 
##         30022         30030         30031         30034         30035 
## -1.775465e+00 -1.027525e+00  3.281212e+00 -9.520861e-01 -2.061112e-01 
##         30037         30038         30039         30040         30041 
##  7.354900e-01 -2.005715e+01 -2.309549e+01 -7.470742e-01  1.063354e+00 
##         30050         30056         30057         30058         30062 
## -2.146308e+01 -2.286290e+01 -2.012710e+01 -3.037764e+00 -1.713906e+01 
##         30067         30068         30069         30075         30077 
## -2.362034e+01 -2.314745e+01 -2.031218e+01 -2.373149e+01 -2.098047e+01 
##         30084         30091         30096         30101         30103 
## -8.828005e-01 -2.234862e+01 -5.462733e-01 -2.240972e+01 -3.040685e-01 
##         30106         30110         30111         30114         30118 
## -1.892178e+01 -1.724633e+00 -3.836950e-01 -3.303842e+00  2.045099e+00 
##         30121         30123         30126         30128         30133 
## -1.915796e+01 -2.270451e+01 -1.872339e+01 -2.060718e+01 -2.128291e+01 
##         30145         30158         30161         30164         30169 
## -3.411678e+00 -3.276400e+00 -2.030260e+01  1.400681e+00 -4.656738e+00 
##         30171         30172         30174         30177         30179 
## -1.889363e-01 -2.193296e+01  2.968802e+00 -2.367879e+00 -4.386779e+00 
##         30180         30184         30185         30186         30188 
##  1.504181e+00 -2.056902e+01 -1.838015e+01 -2.145012e+01 -2.228745e+01 
##         30191         30192         30194         30195         30199 
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##         30200         30204         30205         30207         30211 
## -3.285898e+00 -4.413006e-01 -2.059080e+01 -1.993953e+01 -2.014582e+01 
##         30213         30214         30219         30224         30226 
##  4.177286e-01  1.714434e+00 -1.956326e+01 -1.251288e+00 -2.117787e+01 
##         30229         30232         30235         30241         30244 
## -1.871533e+00 -2.274755e+01 -2.160986e+01 -2.220163e+01 -7.367950e-01 
##         30248         30251         30253         30255         30257 
## -2.180320e+01 -2.080170e+01 -2.260637e+01 -2.430365e+00 -2.315563e+01 
##         30258         30260         30261         30264         30265 
## -9.941209e-01 -1.858887e+00 -2.312790e+01 -1.543532e-01 -2.243652e+01 
##         30271         30276         30285         30287         30288 
## -2.025557e+01 -1.981231e+01 -2.161200e+01 -2.159728e+01 -2.256491e+01 
##         30313         30316         30317         30319         30327 
## -2.158001e+01 -2.754932e+00  5.297351e-01  2.032592e+00  2.204875e-01 
##         30331         30334         30335         30336         30339 
## -2.475055e+01 -2.371534e+01 -2.253622e+01 -2.238400e+01 -2.106686e+01 
##         30340         30341         30342         30345         30346 
## -2.223510e+01  3.153321e-01 -2.237865e+01 -2.200453e+01 -2.216551e+01 
##         30352         30354         30355         30358         30365 
## -2.239611e+01 -2.037930e+01 -1.957627e+01  1.448499e+00  6.757347e-01 
##         30371         30381         30383         30384         30391 
## -2.276634e+01 -2.153329e+01 -2.089674e+01 -2.078625e+01 -2.166913e+01 
##         30392         30396         30400         30403         30407 
## -1.942526e+01 -1.948530e-01 -2.227861e+01 -2.141692e+01  8.510866e-01 
##         30408         30411         30414         30422         30429 
## -1.909333e+01 -2.085079e+01 -2.315200e+01 -1.316407e+00  2.894925e+00 
##         30434         30437         30438         30440         30441 
## -1.926693e+01 -2.256171e+01  2.261813e+00 -2.422090e+01 -2.096643e+01 
##         30443         30444         30449         30450         30451 
## -2.109413e+01 -2.680711e+00 -2.279713e+01 -6.894666e-01 -1.326376e+00 
##         30456         30460         30463         30469         30471 
##  3.686739e-01 -2.570530e+00 -1.738523e+01  4.611628e-01  3.401032e+00 
##         30473         30474         30479         30480         30485 
## -1.914484e+01 -1.093212e+00 -2.392350e+01 -2.468381e+01  1.440350e+00 
##         30489         30490         30491         30502         30504 
##  3.033758e+00 -6.287545e-01 -1.861864e+01 -2.110751e+01 -3.239789e+00 
##         30505         30506         30514         30515         30517 
## -2.191832e+01 -2.114340e+01 -2.030891e+01 -1.227464e+00 -2.307746e+01 
##         30521         30523         30526         30527         30528 
## -2.106510e+01 -2.075577e+01 -2.276922e+01 -1.553818e+00 -3.052015e+00 
##         30536         30537         30539         30546         30547 
## -2.317121e+01 -2.108923e+01 -8.262836e-01  6.212760e-01 -2.149482e+01 
##         30553         30557         30558         30562         30563 
## -1.461251e+00 -1.833526e+00  2.017524e-01 -1.130921e+00  2.691671e+00 
##         30566         30567         30574         30576         30578 
## -2.333240e+01 -1.032753e+00 -2.115888e+01 -1.968114e+01 -1.999051e+01 
##         30583         30586         30592         30594         30598 
##  1.488282e+00 -2.379661e+01 -2.161685e+01 -1.916803e+01 -2.242913e+01 
##         30602         30607         30610         30613         30618 
## -2.188059e+01  1.026024e+00 -8.342334e-01 -2.591927e+00 -2.072333e+01 
##         30630         30631         30633         30644         30645 
## -1.795996e+00 -1.171046e+00 -2.303459e+01 -1.114917e+00 -1.085307e+00 
##         30649         30650         30654         30655         30658 
## -1.901142e+01  3.203183e-01 -1.298169e+00 -2.366876e+01  3.277698e-01 
##         30662         30665         30672         30675         30682 
## -1.882408e+01 -1.788742e+01 -2.044409e+01 -2.913231e+00  1.914360e+00 
##         30683         30686         30688         30689         30690 
## -2.399919e+01 -2.155911e+01 -2.045870e+01 -3.278552e-01 -1.355009e+00 
##         30691         30695         30697         30699         30702 
## -2.318015e+01 -2.861088e+00 -2.666724e+00  1.515339e+00 -2.276885e+01 
##         30704         30705         30710         30715         30716 
## -3.598427e+00 -2.512683e+00 -2.006905e+01 -2.753731e+00 -1.974112e+00 
##         30720         30721         30723         30725         30727 
## -6.606969e-02 -2.263774e+01 -2.188748e+01  8.486161e-02 -2.275930e+01 
##         30731         30735         30736         30739         30740 
## -2.285247e+00 -1.999523e+01 -1.468753e+00  6.077559e-01  3.805693e-01 
##         30744         30746         30748         30754         30757 
## -2.326241e+01 -3.674165e+00  3.199800e-01  9.242801e-02  9.675412e-01 
##         30759         30765         30767         30777         30779 
##  1.496567e+00  2.628767e+00  1.877974e+00 -2.437981e+01  2.266838e+00 
##         30783         30789         30790         30791         30792 
##  1.783914e+00 -2.084417e-01 -7.766210e-01 -1.313629e+00 -2.860603e+00 
##         30793         30794         30797         30800         30802 
##  7.648130e-03  3.315630e+00 -2.218242e+01 -2.297700e+01 -5.839169e-01 
##         30812         30813         30815         30816         30819 
## -4.560353e-02  1.907817e+00 -2.070182e+01  2.856708e+00 -1.950504e+01 
##         30827         30828         30830         30837         30843 
## -2.197819e+01 -2.409815e+01 -2.276622e+01 -3.242151e+00 -2.198998e+01 
##         30847         30848         30850         30852         30861 
##  2.852756e+00 -1.175779e+00  2.756140e+00  4.986801e+00  1.991342e+00 
##         30862         30863         30869         30875         30877 
## -1.438881e+00  4.119939e+00 -4.942225e-01  2.302225e-02  2.782478e+00 
##         30878         30880         30881         30882         30883 
##  8.835015e-01  3.623175e+00  9.914603e-01 -2.141274e+01 -1.920665e+01 
##         30887         30889         30891         30893         30894 
## -2.362088e+01 -2.075719e+01 -5.516103e+00 -2.085672e+01 -2.373598e+01 
##         30895         30896         30898         30904         30908 
## -2.261528e+01  2.769919e-01 -2.025576e+01 -2.067911e+01 -1.748802e+01 
##         30909         30916         30919         30923         30935 
## -2.071134e+00 -3.020423e+00 -2.461149e+01 -1.693968e+00 -2.307251e+01 
##         30944         30945         30946         30947         30952 
## -1.970845e+01 -2.037921e+01 -2.072142e+01 -5.386140e-01 -2.126332e+01 
##         30954         30955         30957         30963         30965 
## -2.311101e+01 -2.061778e+01 -2.136881e+01  2.128072e+00 -2.021071e+01 
##         30966         30967         30968         30969         30973 
## -2.225156e+01 -2.321214e+01 -1.074857e+00 -4.119020e+00 -5.053247e+00 
##         30979         30984         30985         30986         30993 
## -1.113659e+00 -4.179589e-01  8.421990e-02 -2.258127e+01  3.819196e-01 
##         30995         30997         30998         30999         31002 
## -2.100037e+01 -2.266833e+01 -1.540899e+00 -2.007431e+01 -2.007071e+01 
##         31004         31005         31008         31012         31014 
## -1.245455e-01 -2.180404e+01 -1.674605e+00 -1.936287e+01 -3.744363e+00 
##         31017         31018         31023         31024         31027 
## -2.351753e+01 -2.072085e+01 -2.237133e+01 -2.135030e+01 -2.382982e+01 
##         31028         31030         31031         31033         31035 
## -2.059478e+01 -1.297636e+00 -3.468522e+00 -2.568231e+01 -2.207996e+01 
##         31038         31039         31040         31045         31049 
## -6.300523e-01  1.672887e+00 -2.473333e+01 -2.400201e+01 -2.011179e+01 
##         31052         31066         31067         31080         31081 
## -2.735392e+00 -2.078207e+01 -1.301070e+00 -1.578029e+00  2.180450e-01 
##         31082         31087         31088         31090         31095 
## -6.467122e-01 -2.113317e+01 -1.140404e+00 -2.060395e+01 -3.109665e+00 
##         31096         31097         31099         31103         31106 
## -2.202588e+01 -2.069515e+01 -1.978333e+01 -4.243440e+00  1.396626e-01 
##         31111         31116         31120         31122         31123 
## -2.468034e-01 -4.116617e+00 -2.191623e+01 -2.039917e+01 -2.117296e+01 
##         31125         31128         31131         31133         31142 
## -2.549683e+01  2.655330e+00  1.472009e+00 -6.043352e-01 -2.222350e+01 
##         31143         31149         31151         31156         31157 
## -1.040353e+00 -1.804167e+01 -2.076644e+01  1.904563e+00  1.927826e+00 
##         31158         31164         31165         31168         31171 
## -1.892995e+01 -1.992039e+01 -1.168235e+00 -2.451018e+01 -1.961866e+01 
##         31175         31177         31179         31181         31183 
## -4.644098e+00 -2.186096e+01  1.928903e+00 -2.229864e+01  1.686558e+00 
##         31184         31185         31186         31187         31194 
## -2.226266e+01 -2.564339e+00  7.714407e-01  5.394075e-01 -2.341198e+01 
##         31196         31198         31199         31200         31206 
## -2.153567e+01  5.657444e-01 -2.579751e+00 -2.620438e+00  2.887997e-01 
##         31207         31218         31220         31224         31225 
## -2.164369e+01 -2.322191e+01 -2.123289e+01 -1.333113e+00 -2.291140e+01 
##         31226         31233         31237         31239         31244 
## -2.515173e+01  3.544604e+00 -2.300783e+01 -2.040411e+01 -2.218218e+01 
##         31247         31252         31256         31257         31258 
## -2.126241e+01 -3.127417e-01 -1.834256e+00 -2.078194e+01 -2.082653e+01 
##         31260         31261         31264         31270         31271 
## -2.315108e+01 -1.664467e-01 -4.099262e+00 -2.258318e+01 -1.944460e+01 
##         31274         31277         31283         31287         31289 
## -2.395574e-01 -2.016653e+01 -2.475553e+01 -2.303064e+01 -2.257746e+01 
##         31290         31297         31300         31303         31304 
## -2.285866e+01 -2.331642e+01 -2.573745e+01 -8.946889e-01  4.092172e-01 
##         31309         31310         31320         31322         31325 
## -1.908248e+01 -3.006993e+00  6.014005e-01 -3.847656e+00 -1.170796e+00 
##         31333         31334         31345         31349         31354 
## -4.320982e+00 -1.712292e+00 -2.879377e+00 -3.551173e+00 -1.113265e+00 
##         31357         31359         31363         31369         31376 
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##         31378         31382         31387         31389         31391 
## -4.095470e+00 -2.153023e+01 -2.238395e+01 -1.255372e+00 -2.200376e+01 
##         31392         31393         31395         31397         31403 
## -2.643818e+00 -2.046546e+01 -2.068439e+01 -2.317515e+01 -2.080836e+01 
##         31408         31410         31412         31414         31418 
## -2.295899e+01 -2.273208e+01 -3.397032e+00 -2.649275e+00 -1.413120e+00 
##         31421         31422         31427         31429         31431 
## -2.062789e+01 -4.330145e+00 -2.453051e+00 -2.072205e+01 -8.818586e-01 
##         31436         31439         31440         31446         31450 
## -2.011288e+01 -1.662306e+00 -2.077943e+01 -2.289683e+01 -2.367187e+01 
##         31457         31460         31462         31467         31471 
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##         31472         31475         31483         31486         31488 
## -1.916935e+01 -2.109267e+01 -2.463810e+01 -2.377461e+00 -5.244188e+00 
##         31493         31495         31502         31503         31512 
## -2.106667e+01 -2.264370e+01 -2.430089e+01 -2.248694e+01 -2.115220e+00 
##         31520         31523         31524         31526         31529 
## -2.340729e+01 -2.214959e+00 -2.044251e+01 -2.084610e+01 -1.498959e+00 
##         31533         31534         31538         31540         31541 
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##         31545         31550         31551         31553         31556 
## -2.099414e+01 -4.806351e+00 -2.758471e+00 -3.253838e+00 -2.451698e+00 
##         31564         31565         31573         31575         31579 
## -2.339755e+01 -5.237599e-01 -2.171383e+01 -2.218408e+01 -1.686471e+00 
##         31587         31590         31591         31593         31594 
## -2.101484e+00 -2.169122e+01 -2.331659e+01 -2.286307e+01 -1.601758e+00 
##         31601         31603         31604         31608         31610 
## -2.423153e+01 -2.443012e+00  2.395225e+00 -2.543662e+01 -9.762585e-01 
##         31616         31623         31628         31629         31631 
## -2.273273e+01  1.958550e+00 -2.078484e+01  1.450375e+00 -9.042197e-02 
##         31637         31640         31642         31646         31651 
## -2.075806e+01 -2.361621e+00 -2.280996e+00 -2.146642e+01 -2.231185e+01 
##         31657         31668         31675         31682         31685 
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##         31687         31694         31699         31700         31703 
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##         31706         31708         31709         31710         31717 
## -2.254167e+01 -2.509754e+01 -9.916914e-01  3.817349e-01 -7.743965e-01 
##         31722         31726         31731         31733         31736 
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##         31737         31740         31742         31749         31756 
## -2.258006e+01 -2.238373e+01  6.961842e-01 -2.287600e+00 -2.133696e+01 
##         31757         31762         31767         31768         31770 
## -2.314892e+01 -2.080275e+01  1.021968e+00 -2.152671e+01 -2.300223e+01 
##         31778         31782         31784         31785         31786 
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##         31790         31797         31800         31801         31811 
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##         31813         31815         31816         31818         31819 
## -2.497958e+01 -2.317389e+01 -2.088297e+00 -2.380752e+00 -2.529875e+01 
##         31820         31823         31836         31840         31844 
## -9.274337e-01 -2.129243e+01  1.924413e+00 -3.090605e+00 -4.314351e+00 
##         31846         31848         31853         31857         31860 
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##         31872         31873         31880         31881         31884 
## -2.120582e+01 -3.576162e-02 -2.467120e+00 -2.592152e+01 -2.576948e+00 
##         31892         31895         31897         31899         31901 
## -5.772163e+00  1.298099e+00 -2.443227e-01 -2.195171e+01 -2.259451e+01 
##         31904         31909         31910         31912         31913 
## -2.445913e+01  1.862137e+00 -2.285012e+01 -4.849196e+00 -2.289018e+01 
##         31915         31921         31922         31927         31933 
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##         31936         31940         31943         31945         31947 
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##         31948         31949         31950         31958         31961 
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##         31963         31968         31969         31977         31978 
## -2.004585e+01 -2.347780e+01 -5.978434e-01  1.193685e+00 -1.047750e+00 
##         31980         31981         31990         31992         32000 
## -4.025560e-01 -2.070669e+01 -2.966790e-01 -1.764312e+00 -1.858947e+00 
##         32004         32007         32008         32009         32010 
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##         32017         32019         32022         32024         32025 
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##         32031         32034         32036         32038         32040 
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##         32043         32049         32055         32073         32077 
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##         32082         32086         32087         32088         32093 
## -2.256439e+01 -2.123665e+01  2.825624e-01 -6.509443e-01  4.688301e+00 
##         32098         32099         32101         32102         32111 
##  2.714701e+00 -1.757879e+01 -4.559253e+00 -1.257866e-01 -2.290090e+01 
##         32118         32119         32124         32128         32129 
## -2.704251e+01 -2.112364e+01 -2.088718e+01 -2.288460e+01 -2.202205e+01 
##         32134         32135         32139         32142         32145 
## -2.049104e+01 -1.794826e+01 -2.248340e+01 -2.301237e+01  1.779491e+00 
##         32147         32153         32154         32155         32157 
##  8.597671e-01 -2.540037e+00 -4.154737e+00 -2.062778e+01 -1.952037e+01 
##         32159         32160         32161         32163         32164 
##  2.480063e-01 -6.488621e-01 -2.123790e+01 -2.082000e+01 -2.330188e+01 
##         32167         32172         32176         32181         32182 
## -1.975487e+01  4.802476e-01 -2.578070e+01 -3.290356e+00  8.846836e-01 
##         32189         32198         32205         32208         32213 
##  1.373233e+00 -1.577437e+00 -2.071595e+01 -2.133338e+01 -1.874196e+01 
##         32222         32226         32230         32233         32237 
## -3.952062e+00 -1.981865e+01 -1.667209e+00 -2.081835e+01 -1.074806e+00 
##         32238         32241         32246         32249         32251 
## -2.200081e+01 -2.116980e+01 -2.027678e+01  3.153160e-01 -2.428212e+00 
##         32253         32257         32259         32260         32261 
##  2.409962e+00  1.854698e+00 -2.092859e+01 -2.377115e+01 -6.287322e-01 
##         32264         32265         32274         32276         32278 
## -2.274297e+01 -2.277634e+01 -1.788814e+00 -2.017645e+01 -1.758110e+01 
##         32280         32281         32285         32289         32290 
## -1.936854e-01  3.553011e+00 -2.058616e+01 -1.158077e+00 -1.408509e+00 
##         32293         32297         32306         32307         32309 
## -2.378172e+01  3.008995e+00 -6.232420e+00 -3.196925e+00 -2.431360e+01 
##         32317         32319         32322         32323         32327 
## -2.942942e-01  1.519553e+00 -4.014152e-02  1.875996e+00 -1.823582e+01 
##         32332         32336         32337         32338         32339 
## -2.715020e+00 -1.286889e-02 -2.236675e+01 -1.662814e+00 -2.108218e+01 
##         32340         32341         32348         32349         32350 
## -3.463265e+00  1.477896e+00  1.381630e+00 -2.039393e+01  3.925437e-02 
##         32352         32356         32357         32358         32359 
## -2.219314e+01 -3.140293e+00  5.791994e-01 -4.763065e-01 -2.229344e+01 
##         32362         32382         32388         32389         32390 
## -1.723040e+00 -3.230048e+00 -2.045874e+00 -2.517094e-01 -4.180344e+00 
##         32391         32394         32397         32400         32403 
## -2.242893e+01 -3.068949e+00 -1.773860e+00 -3.624357e+00 -2.059912e+01 
##         32404         32405         32407         32408         32411 
## -9.388392e-01 -1.761620e+00 -2.068846e+01 -3.588706e+00 -2.412899e+00 
##         32414         32415         32416         32419         32421 
## -2.405299e+01 -2.278698e+01 -2.057853e+01 -2.262999e+01 -3.464882e+00 
##         32422         32423         32424         32425         32429 
## -1.197259e+00 -8.012397e-01 -1.123315e+00 -2.029405e+01  6.833771e-01 
##         32430         32432         32433         32436         32437 
##  3.153557e+00 -2.623063e-01 -2.153715e+01 -1.650042e+00 -4.748661e-01 
##         32440         32441         32443         32446         32447 
## -2.228634e+01  4.118177e-01 -1.930980e+01 -3.395068e+00 -2.222087e+01 
##         32448         32451         32454         32455         32457 
## -2.290953e+01 -2.253519e+01 -2.098321e+01 -2.035110e+01 -2.200378e+01 
##         32458         32461         32463         32464         32466 
## -1.553548e+00 -1.817148e+01 -2.525880e+01 -2.149695e+01 -1.025987e-01 
##         32469         32471         32473         32475         32480 
## -2.385664e+01 -1.964862e+01 -2.124418e+00 -2.097242e+01  2.225711e+00 
##         32481         32482         32486         32488         32490 
##  1.129396e+00 -2.493430e+00 -2.050462e+00 -1.394073e+00 -2.331702e+01 
##         32491         32492         32493         32495         32501 
## -1.731839e+00 -2.077126e+01 -2.213350e+01 -2.476717e+01 -4.066490e+00 
##         32506         32519         32521         32529         32532 
## -2.286000e+01  1.922969e+00 -3.043308e+00 -2.936310e+00 -3.346443e+00 
##         32535         32539         32542         32547         32548 
## -2.086992e+00 -2.336017e+01 -1.711626e+00 -2.211552e+01 -1.784671e+00 
##         32551         32554         32559         32561         32564 
## -2.455613e+01 -1.925266e+01 -9.017979e-01 -2.314545e+01 -2.783001e-01 
##         32569         32573         32574         32581         32584 
## -2.290851e+00 -2.428320e+01 -2.488971e+01 -2.033779e+01 -2.459237e+01 
##         32591         32594         32595         32596         32601 
## -3.183355e+00 -1.979551e+01 -2.280250e+01 -2.200220e+01 -2.285917e+01 
##         32605         32613         32614         32621         32626 
## -2.409718e+01 -2.151846e+01 -2.304041e+01 -2.302617e+01 -2.367675e+00 
##         32629         32646         32647         32650         32652 
## -2.333094e+01 -1.704705e+00 -2.148283e+00 -3.245094e+00 -4.210761e+00 
##         32656         32657         32658         32663         32665 
## -1.846931e+00 -3.592878e+00 -1.843280e+00 -2.110408e+01 -2.260309e+01 
##         32667         32669         32670         32671         32680 
## -2.060695e+01 -2.027234e+01 -2.246068e+01 -9.010969e-01 -2.047666e+01 
##         32681         32683         32686         32688         32690 
## -1.411347e-01 -2.077260e+01 -2.138888e+01 -1.974658e+01 -2.334244e+01 
##         32691         32693         32694         32696         32706 
## -2.642509e+00 -1.291851e+00 -2.109921e+01 -1.941426e+01 -2.134208e+01 
##         32707         32713         32717         32719         32724 
##  1.518425e+00 -8.264692e-01 -1.004657e+00 -2.115942e+01 -2.147842e+01 
##         32731         32734         32737         32739         32740 
## -1.650777e+00 -2.157659e+01 -2.157302e+01  3.592145e-01 -2.280099e+01 
##         32742         32745         32747         32748         32751 
## -2.852539e+00 -3.157711e+00 -2.113397e+01 -2.176404e+01 -4.937389e-01 
##         32759         32761         32763         32764         32768 
## -1.602204e+00 -2.256766e+01 -2.033844e+01 -2.132376e+01 -2.174324e+01 
##         32778         32781         32784         32785         32786 
## -2.363767e+01 -2.033772e+01 -2.096766e+01 -2.116095e+01  5.311497e-01 
##         32790         32791         32793         32794         32797 
## -2.278070e+01 -2.210007e+01 -2.238076e+01 -6.551246e-01 -2.006359e+01 
##         32798         32801         32802         32803         32805 
##  3.783747e-04 -2.205086e+01 -2.033655e+01 -2.244196e+01 -2.516349e+01 
##         32807         32808         32812         32814         32815 
## -2.083124e+01 -2.214533e+01 -1.912278e+01 -1.873320e+01 -2.359164e-02 
##         32816         32819         32822         32823         32831 
## -2.258034e+01 -1.633499e+00 -1.724071e+01 -1.227358e+00 -2.226780e+01 
##         32833         32834         32842         32844         32855 
## -1.341508e+00 -2.065212e+01 -2.168180e+01 -2.603114e+00 -2.079760e+01 
##         32860         32865         32866         32872         32876 
##  4.242498e-01 -2.314298e+01 -2.212366e+01 -2.299049e+01 -2.172513e+01 
##         32877         32882         32891         32896         32902 
## -2.265601e+01 -1.904807e+01 -8.940040e-01  2.847114e-01 -2.072244e+01 
##         32904         32905         32906         32913         32915 
## -2.216268e+01 -2.257960e+01 -2.360994e+01 -1.885203e+00  7.511631e-01 
##         32919         32920         32921         32923         32924 
## -2.227620e+01 -2.121120e+01  4.309296e-02 -1.997232e+01  9.749797e-02 
##         32930         32938         32941         32945         32947 
## -2.165434e+01 -2.213273e+01 -2.325171e+01 -2.260415e+01 -2.032157e+01 
##         32950         32955         32961         32964         32966 
## -2.140275e+01 -2.313289e+01 -2.089970e+00 -2.626798e+00  8.292726e-01 
##         32967         32968         32981         32986         32994 
## -2.299773e+01 -2.185520e+01 -2.341386e+01 -2.080295e+01 -2.287549e+01 
##         32996         33000         33001         33003         33005 
## -2.111417e+01 -1.847322e+01 -2.126374e+01 -2.336405e+01 -2.211807e+01 
##         33007         33012         33019         33024         33026 
## -2.066554e+01 -9.719171e-01 -2.403357e+01 -2.198909e+01  7.973218e-01 
##         33032         33037         33043         33046         33050 
## -2.809244e+00 -4.932747e-01 -2.018673e+01 -2.041849e+01 -2.023317e+01 
##         33053         33060         33066         33067         33076 
## -2.252119e+01 -2.046201e+01 -1.501153e+00 -2.429083e+01  5.963728e-01 
##         33078         33079         33081         33082         33083 
## -2.018115e+01 -4.234013e+00 -2.241424e+01 -3.459248e-01 -1.821122e+00 
##         33084         33088         33089         33094         33098 
## -2.018694e+01 -1.948853e+01 -2.338195e+01 -2.556467e+00 -3.611570e+00 
##         33099         33107         33108         33112         33119 
## -2.130349e+01 -2.067977e+01 -1.642082e+00 -2.425291e+01 -2.168625e+01 
##         33124         33126         33133         33139         33140 
## -2.310751e+01 -2.190751e+01 -2.256465e+01 -2.188837e+01 -2.187211e+01 
##         33143         33145         33148         33150         33151 
## -1.976479e+01 -2.203093e+01 -2.223383e+01  9.678093e-01 -2.168501e+01 
##         33159         33167         33168         33169         33175 
## -4.380251e-01 -2.139894e+01 -2.379754e+01 -2.080990e+01 -1.968198e+01 
##         33177         33179         33180         33182         33183 
## -7.379280e-01 -2.046225e+01 -1.948513e+01 -1.905093e+01 -2.124837e+01 
##         33195         33196         33204         33205         33210 
## -2.172777e+01 -2.080021e+01 -1.785578e-01 -2.143085e+01 -2.223895e+01 
##         33211         33213         33215         33218         33230 
##  1.356017e+00 -2.421652e+01 -1.929723e+01 -1.733731e+00 -2.558551e+00 
##         33231         33232         33233         33237         33240 
## -2.156620e+01 -3.050942e+00 -2.356498e+01 -1.982183e+01 -2.591009e+00 
##         33241         33242         33245         33250         33255 
## -2.190913e+01 -2.158316e+01 -1.469735e+00  1.295688e-01 -3.764539e+00 
##         33258         33259         33260         33261         33262 
## -2.943486e+00 -2.958032e+00 -1.125635e+00 -2.409977e+00 -2.032869e+01 
##         33264         33268         33269         33271         33272 
## -2.084413e+01 -2.147678e+01  8.279028e-01 -1.653699e+00 -2.233129e+01 
##         33273         33277         33282         33284         33285 
## -2.263497e+01 -1.944991e+01  1.323701e-01 -1.545328e+00 -2.576772e+00 
##         33286         33296         33297         33299         33301 
## -2.384931e+00 -2.257323e+01 -2.131525e+01 -2.150206e+01 -1.888873e+01 
##         33309         33310         33313         33314         33318 
## -2.523234e-01 -2.088527e+01 -1.849187e+01 -2.111955e+01 -1.970746e+01 
##         33324         33325         33329         33332         33333 
## -2.156023e+01 -1.626903e+00  6.473498e-02 -2.685427e+00 -2.111656e+01 
##         33334         33336         33343         33347         33349 
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##         33350         33352         33353         33358         33367 
## -2.085789e+01 -1.799718e+01 -2.302513e+01 -2.365501e+01 -2.131187e+01 
##         33377         33378         33379         33383         33385 
## -1.940060e+00 -2.115796e+01 -2.193352e+01  1.081316e+00 -2.134585e+01 
##         33387         33390         33395         33397         33399 
## -2.344074e+01 -2.358949e+00 -2.056114e+01 -2.199813e+01 -2.137608e+01 
##         33401         33403         33408         33413         33415 
## -2.206480e+01 -1.006807e+00 -2.009063e+01 -2.100907e+01 -2.087119e+01 
##         33416         33417         33421         33431         33434 
## -2.051080e+01 -2.959078e-02 -4.104929e+00 -3.022760e+00 -2.246026e+01 
##         33436         33444         33447         33448         33451 
## -1.961316e+01 -6.193708e-02 -1.922151e+01 -2.089178e+01 -2.169969e+01 
##         33459         33461         33465         33468         33469 
## -5.575233e-01 -2.954279e-01 -2.351485e+00 -1.941028e+01 -2.001052e+01 
##         33472         33476         33479         33480         33483 
## -6.415955e-01 -1.915888e+01 -2.282008e+01 -2.024496e+01 -2.225402e+01 
##         33485         33486         33487         33492         33501 
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##         33503         33506         33509         33519         33520 
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##         33522         33523         33524         33526         33527 
## -1.067954e+00 -1.764124e+00 -2.611644e+00 -2.644255e+00 -2.111868e+01 
##         33528         33530         33534         33538         33539 
## -3.381173e+00 -2.164523e+01 -1.979366e+01 -2.089500e+01 -2.419276e+01 
##         33540         33556         33557         33558         33565 
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##         33582         33584         33588         33593         33595 
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##         33599         33602         33604         33617         33620 
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##         33629         33644         33646         33650         33652 
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##         33655         33657         33663         33666         33668 
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##         33690         33693         33694         33696         33703 
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##         33722         33728         33729         33734         33742 
## -1.686495e+00 -8.355993e-01 -2.130971e+01 -1.907963e+01 -2.105705e+01 
##         33747         33750         33752         33753         33754 
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##         33772         33776         33777         33779         33787 
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##         33824         33825         33832         33835         33839 
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##         33997         33998         34006         34007         34011 
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##         34028         34029         34030         34031         34034 
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##         34056         34059         34060         34073         34075 
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##         34089         34090         34091         34092         34093 
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##         34118         34120         34124         34125         34134 
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##         34159         34164         34165         34166         34167 
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##         34174         34176         34179         34181         34187 
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##         34833         34835         34841         34847         34848 
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## -1.891694e+01 -2.201817e+01  2.344925e+00 -6.072479e-01 -1.904090e+01 
##         40418         40419         40424         40433         40434 
## -2.141270e+01 -2.354246e+01 -2.183985e+01 -2.266924e+01 -1.711706e+00 
##         40437         40438         40439         40440         40442 
## -2.360402e+01 -1.350934e+00 -2.407702e+01 -2.052467e+01 -2.298385e+01 
##         40445         40446         40447         40450         40453 
## -1.631151e+00 -2.217952e+01 -2.155351e+01 -2.324772e+01 -2.247396e+01 
##         40456         40468         40470         40478         40482 
## -2.609687e+00 -2.426903e+00 -2.164781e+01 -2.197520e+01 -1.949832e+01 
##         40483         40497         40499         40502         40507 
##  1.075967e-01 -2.046134e+01 -1.976320e+01 -2.001016e+01 -2.087392e+01 
##         40511         40513         40514         40518         40519 
## -2.335111e+01 -2.147750e+01  7.149163e-01  3.372127e-01 -2.001370e+01 
##         40525         40528         40530         40532         40536 
##  3.518686e-01 -2.135841e+01 -2.094025e+01 -2.012478e+01 -2.211826e+01 
##         40539         40540         40545         40546         40548 
## -2.090849e+01 -2.329349e+01 -1.985007e+01 -2.038675e+01 -1.517807e+00 
##         40550         40551         40553         40560         40561 
## -3.924574e+00 -2.324895e+01 -8.385593e-02 -2.185180e+01 -2.121476e+01 
##         40565         40567         40568         40571         40572 
## -2.225734e+01 -2.306674e+01 -3.339757e+00 -1.946468e+01 -1.469318e+00 
##         40580         40585         40586         40587         40588 
## -1.153837e+00  1.397540e+00 -2.310007e+01 -2.056554e-01 -2.067177e+01 
##         40594         40599         40605         40608         40609 
##  1.291715e+00 -2.204597e+01 -1.599589e+00 -2.146789e+01 -2.125567e+01 
##         40610         40613         40616         40618         40623 
## -2.147328e+01 -2.205316e+01 -2.867473e+00 -2.104694e+01 -1.948807e+01 
##         40624         40626         40630         40632         40633 
## -1.842030e+00 -2.123652e+01 -2.138333e+01 -2.297467e+01 -2.175386e+01 
##         40637         40639         40649         40650         40651 
## -2.003268e+01 -3.416588e+00 -2.015431e+01 -2.013758e+01 -2.644903e+00 
##         40653         40657         40660         40670         40672 
## -2.120412e+01 -1.653839e+00 -2.243475e+01  2.625774e-01 -2.347099e+01 
##         40675         40679         40684         40696         40700 
##  7.498973e-01 -2.760980e+00 -2.125950e+01 -2.171678e+01 -1.546018e+00 
##         40710         40715         40717         40718         40720 
## -7.980966e-01 -2.060740e+01 -1.543858e-01 -2.147902e+01  7.084657e-01 
##         40722         40724         40727         40729         40730 
## -3.520374e+00 -4.707904e-01 -2.111936e+01 -2.209200e+00 -1.107923e+00 
##         40738         40743         40744         40745         40749 
## -2.002195e+01 -3.113298e+00 -3.488410e+00 -1.977164e+01 -2.210976e+01 
##         40752         40753         40756         40759         40761 
## -3.477694e+00 -1.964046e+01 -2.055467e+01 -3.167789e-01 -6.512125e-03 
##         40763         40767         40770         40773         40777 
## -2.297715e+01 -2.093303e+01 -2.135274e+01 -2.253746e+01 -2.030587e+01 
##         40778         40785         40791         40798         40805 
## -2.141078e+01 -1.921753e+01 -2.140702e+01 -2.202338e+01 -2.319822e+01 
##         40806         40807         40810         40818         40821 
## -3.562670e+00 -1.037721e+00 -2.209258e+01 -2.154124e+01 -2.116573e+01 
##         40823         40824         40825         40829         40830 
## -1.998340e+01 -1.888530e+01 -2.179840e+01 -2.202716e+01  4.704301e-02 
##         40831         40839         40844         40852         40858 
## -2.322668e+01 -1.048151e+00 -1.357503e+00  6.075115e-01 -2.262028e+01 
##         40859         40860         40862         40867         40868 
## -1.712546e+00 -1.496081e+00 -2.122564e+01 -2.080217e+01 -2.014203e+01 
##         40871         40883         40884         40885         40890 
## -2.243944e+01 -2.033886e+01 -2.277781e+01 -1.977371e+01 -2.305680e+01 
##         40893         40898         40899         40900         40901 
##  3.993081e-01 -9.477761e-01 -2.027945e+01 -2.153724e+01 -2.116709e+01 
##         40906         40907         40909         40914         40916 
## -2.178793e+01 -1.749930e+01 -2.190035e+01 -2.186558e+01 -2.368840e+01 
##         40918         40924         40925         40926         40927 
## -4.736053e+00 -2.109034e+01 -2.039497e+01 -1.462446e+00 -2.486311e+01 
##         40931         40932         40934         40935         40943 
## -3.039724e+00 -2.414872e+01 -1.626362e+00  9.094448e-01 -1.396233e+00 
##         40947         40948         40949         40952         40955 
## -2.232336e+01 -2.131351e+01 -2.442854e+01 -2.424004e+00 -1.749728e+00 
##         40959         40963         40975         40976         40977 
## -2.236496e+01 -2.345650e+00 -1.977545e-01 -2.111247e+01 -1.233420e+00 
##         40978         40980         40986         40989         40990 
## -2.185209e+01 -2.179684e+01 -2.110976e+01 -2.086807e+01 -2.454750e+00 
##         40991         40992         41003         41006         41011 
## -2.049649e+01 -1.730589e+01 -2.646095e+00 -2.328051e+01 -8.903378e-02 
##         41015         41016         41020         41021         41028 
## -2.932730e-01 -2.247207e+01 -2.259522e+01 -1.115197e+00 -2.151443e+01 
##         41030         41032         41033         41037         41042 
## -1.993227e+01 -2.490387e+01 -1.948654e+01 -2.268253e+01 -2.034889e+01 
##         41046         41062         41065         41068         41078 
## -2.124575e+01 -1.995100e+01 -7.528260e-01 -2.940279e+00 -2.108389e+01 
##         41082         41083         41084         41085         41089 
## -6.344373e-01 -2.189521e+01 -2.100686e+01 -2.233680e+01 -2.265097e+01 
##         41091         41094         41103         41104         41106 
## -1.263316e+00 -2.630411e+00 -2.138840e+01 -2.049368e+01 -2.748536e+00 
##         41112         41113         41119         41120         41121 
## -2.212817e+00 -2.097075e+01 -1.498119e+00 -2.882795e+00 -1.994834e+01 
##         41124         41127         41128         41129         41137 
## -2.427297e+01 -4.316416e-01 -2.431159e+01 -2.265626e+01 -2.275797e+01 
##         41138         41140         41141         41146         41147 
## -2.311980e+01 -2.114221e+01 -2.006979e+01 -2.061415e+01 -2.081050e+01 
##         41148         41155         41156         41161         41174 
## -2.424189e+01 -1.895305e+01 -2.014465e+01 -2.370311e+01 -2.302922e+00 
##         41175         41178         41179         41182         41188 
## -1.322564e+00 -2.842964e+00 -2.442536e+00 -2.174282e+01  1.057976e+00 
##         41191         41193         41195         41196         41197 
##  9.495884e-01 -2.115697e+01 -2.208741e+01 -2.019841e+01 -3.335466e+00 
##         41199         41200         41202         41208         41212 
## -2.191436e+01 -2.170035e+01 -4.057504e+00 -2.236874e+01 -4.767716e-01 
##         41218         41220         41221         41225         41227 
## -2.232048e+01 -8.079312e-01 -2.147150e+01 -2.306675e+01 -1.882019e+01 
##         41228         41229         41231         41250         41252 
## -2.650023e+00 -2.216370e+01 -2.075226e+01  4.577045e-01 -2.244825e+01 
##         41262         41263         41265         41274         41278 
## -2.106710e+01 -2.245689e+01 -2.407593e+01 -2.889288e+00 -5.570065e-01 
##         41279         41281         41282         41283         41286 
## -2.238756e+01 -2.114435e+01 -2.027140e+01 -1.903016e+01 -2.397608e+01 
##         41293         41295         41298         41300         41302 
## -2.071766e+01 -2.006726e+01 -2.157844e+01 -2.469807e+01 -1.788473e+01 
##         41307         41311         41320         41321         41325 
## -1.995676e+01 -2.053628e+01 -1.041922e+00 -2.734814e+00 -9.872206e-01 
##         41327         41328         41332         41345         41346 
## -2.782497e+00 -1.971600e+01 -2.030756e+01 -2.410076e+01 -2.448163e+01 
##         41347         41351         41357         41359         41360 
## -2.422253e+01 -1.886242e+01 -2.372856e+01 -2.422546e+01 -2.326062e+01 
##         41362         41371         41372         41375         41376 
## -2.237654e+00 -2.321097e+01 -1.913900e+01 -2.534839e+01 -1.895506e+00 
##         41378         41379         41382         41385         41386 
## -1.091454e+00 -1.983097e+01 -2.193998e+01 -1.898393e+01 -2.364417e+01 
##         41388         41389         41393         41394         41397 
## -2.085199e+01 -2.005378e+01  3.068523e+00 -1.892923e+00 -2.330396e+01 
##         41400         41402         41403         41407         41409 
## -2.238692e+01 -1.669255e+00 -2.468355e+01 -2.152552e+01 -1.358402e+00 
##         41412         41416         41422         41425         41428 
##  3.114973e-01  3.400868e+00 -2.284594e+01 -2.259408e+01 -2.016963e+01 
##         41431         41437         41438         41439         41449 
## -9.313325e-01  1.597873e+00 -1.279837e+00 -2.380928e+01 -7.369262e-01 
##         41456         41457         41461         41462         41470 
## -2.178181e+00 -2.404779e+01 -2.193458e+00 -1.390984e+00 -4.176978e+00 
##         41473         41474         41475         41476         41480 
## -2.440343e+01 -1.864214e+01 -1.942373e+01 -2.097518e+01 -2.112225e+01 
##         41482         41487         41493         41495         41497 
## -2.007126e+01 -1.740923e+01  1.331874e-01 -2.553038e+00 -2.277763e+01 
##         41498         41499         41506         41508         41510 
## -2.150314e+01  1.962348e-01 -2.154973e+01 -2.894717e-02 -4.951125e-01 
##         41511         41520         41521         41522         41529 
## -2.066526e+00 -2.325395e+01 -1.930801e+01 -2.294566e+01 -1.999516e+01 
##         41532         41534         41539         41540         41545 
## -2.398445e+01 -2.098516e+01 -2.853445e+00 -2.343993e+01 -1.943352e+01 
##         41546         41556         41561         41568         41579 
## -1.960317e+00 -2.295280e+01 -2.223011e+01 -6.736410e-01 -1.967353e+00 
##         41583         41584         41585         41588         41592 
## -2.236367e+01 -2.326166e+01 -2.099904e+01 -5.200383e-01 -2.110425e+01 
##         41593         41594         41596         41611         41613 
## -6.261613e-01 -2.065515e+01 -2.336314e+01  4.647143e-01  4.047533e-01 
##         41618         41622         41626         41628         41630 
## -2.330637e+01 -2.206145e+01 -2.057284e+01 -7.002471e-01 -2.324289e+01 
##         41632         41636         41637         41638         41639 
## -2.191512e+01 -1.935353e+01 -2.875373e+00 -2.187838e+01 -2.307761e-01 
##         41640         41649         41653         41654         41657 
## -2.017263e+01 -2.280705e+01 -2.252633e+00 -2.080699e+01 -1.932416e+01 
##         41659         41660         41664         41668         41669 
## -1.967252e+01 -2.228503e+01 -2.040487e+01 -2.020572e+01 -2.430980e+01 
##         41671         41673         41676         41677         41678 
## -2.174773e+01 -1.646606e+01 -2.391982e+01 -2.003578e+01 -1.622918e-01 
##         41679         41682         41688         41689         41690 
## -2.810061e+00 -2.137054e+01 -1.587609e+00 -2.256359e+01 -3.623981e+00 
##         41693         41698         41705         41711         41719 
## -2.165043e+01 -2.305724e+01 -2.210168e+01 -2.287118e+01 -2.247853e+01 
##         41720         41723         41725         41729         41734 
##  3.762613e-01 -2.126128e+01 -2.070862e+01 -1.796169e+01  6.642323e-02 
##         41736         41740         41741         41743         41745 
## -2.296549e+01 -2.372483e+01 -2.026426e+00 -2.135641e+01 -1.915290e+01 
##         41753         41754         41755         41757         41762 
## -2.290240e+01 -2.128564e+01 -1.991907e+01 -2.284408e+01 -2.317332e+01 
##         41763         41764         41766         41771         41772 
## -2.286614e+01 -2.205994e+01 -1.032687e+00  2.635779e-01 -2.102214e+01 
##         41773         41777         41781         41783         41784 
## -1.965613e+01 -2.313378e+01 -2.118391e+01 -1.207355e+00 -2.378012e+01 
##         41785         41792         41799         41800         41806 
## -1.917082e+01 -2.065966e+01 -2.436495e+01 -2.004737e+01 -2.347504e+00 
##         41812         41816         41818         41823         41826 
## -2.031171e+01 -2.299439e+01 -2.204305e+01 -2.903518e+00 -4.404520e+00 
##         41827         41831         41833         41837         41838 
## -4.216985e+00 -8.221118e-01 -2.210710e+01 -4.300964e-01 -6.428890e-01 
##         41844         41845         41847         41856         41857 
## -2.324915e+01 -2.004024e+01 -2.284654e+01 -3.696158e-01 -9.871608e-01 
##         41858         41859         41861         41862         41863 
## -2.495402e+01 -1.989529e+01  1.538008e-01 -2.267876e+01 -1.297235e+00 
##         41869         41878         41886         41887         41890 
##  1.273249e+00 -2.057779e+01 -2.585188e+00 -2.282714e+01 -2.021691e+01 
##         41900         41901         41903         41906         41910 
## -1.977640e+01 -2.118820e+01 -1.230353e+00 -2.196425e+01  1.453798e-01 
##         41912         41917         41919         41923         41927 
## -6.930174e-01  3.827429e-01 -2.973810e+00 -1.987492e+01 -2.143231e+01 
##         41928         41933         41934         41946         41949 
## -2.292207e+01 -2.124383e+00 -2.552245e+00 -3.654522e-01 -2.063353e+01 
##         41950         41951         41956         41966         41967 
## -2.767162e+00  6.084491e-01 -2.205550e+01 -2.190297e+01 -1.875038e+01 
##         41971         41974         41975         41976         41981 
## -2.250715e+01 -2.348198e+01 -2.727697e+00 -1.892775e+01 -2.067070e+01 
##         41982         41987         41989         41991         41992 
## -2.242142e+01 -2.960967e+00 -2.402463e+01 -2.372689e+01  5.447477e-01 
##         41993         41996         41998         41999         42002 
## -2.161572e+01 -2.249163e+01 -2.116254e+01 -2.119048e+00 -2.065801e+01 
##         42003         42004         42009         42010         42012 
## -3.850344e+00 -1.235255e+00 -5.507051e-01 -3.044574e+00 -2.262148e+01 
##         42014         42015         42017         42024         42025 
## -2.035823e+01 -1.998876e+01 -2.363765e+01 -2.261903e+01 -3.037893e+00 
##         42026         42028         42031         42037         42038 
## -1.767858e+01 -2.426840e+00 -1.278417e+00 -2.270696e+01 -1.101851e+00 
##         42041         42047         42048         42053         42054 
## -8.888701e-01 -2.208199e+01 -3.698984e+00 -1.979229e+01 -1.906139e+01 
##         42061         42063         42065         42067         42068 
## -2.773715e+00 -1.651256e-01 -1.698166e+00 -1.988519e+01 -1.677680e+00 
##         42070         42073         42075         42076         42079 
## -5.513774e-02 -1.493075e+00 -2.222863e+01 -1.171879e+00 -2.166958e+01 
##         42080         42082         42088         42093         42104 
## -2.023706e+01 -1.438297e+00 -1.568143e+00 -2.163386e+01 -2.392104e+01 
##         42105         42112         42123         42130         42135 
## -2.253193e+01 -1.937422e+00  1.200792e+00  2.261045e+00  2.379875e+00 
##         42140         42143         42145         42146         42153 
##  1.160954e-01  2.577278e+00  2.573852e+00  2.152272e+00 -1.125946e+00 
##         42155         42158         42159         42160         42168 
##  3.388316e-01  4.136805e-01  1.710458e+00  1.771383e+00  9.413578e-01 
##         42171         42172         42184         42189         42190 
##  4.644678e-01  1.395490e+00  5.326743e-01  2.327330e+00  2.218769e+00 
##         42192         42194         42210         42211         42229 
##  3.059682e+00 -3.599268e-01 -4.835136e-01  3.753072e+00 -3.826157e-01 
##         42237         42238         42249         42254         42256 
##  2.119197e+00  2.357019e+00  4.801291e-01  1.602375e+00  8.066312e-01 
##         42258         42264         42268         42269         42274 
##  3.440423e-01  3.597362e-01 -1.577255e+00 -1.063681e+00  2.814571e+00 
##         42276         42282         42283         42287         42293 
##  2.198096e+00 -9.788116e-01  1.615922e+00  2.378016e+00  2.089342e+00 
##         42299         42303         42307         42314         42317 
##  1.093163e+00 -2.436606e-01  1.376494e+00  1.390069e+00  1.572648e+00 
##         42322         42325         42331         42347         42352 
##  1.466014e+00  3.338833e+00  1.567841e+00  2.701913e+00 -3.015948e-02 
##         42357         42359         42361         42365         42371 
## -3.277372e-01  1.054852e+00  1.663460e+00  1.743863e+00  3.791416e+00 
##         42372         42375         42377         42382         42383 
##  1.004912e-01  1.317654e+00  5.527636e-01  3.069860e+00  2.129117e+00 
##         42384         42385         42386         42390         42391 
##  1.888899e+00 -9.114786e-01  2.936466e+00  8.895117e-01  1.870732e+00 
##         42393         42394         42407         42413         42424 
##  3.046454e+00  1.528338e+00  1.389942e-01  7.565502e-01 -5.743860e-01 
##         42426         42429         42431         42441         42442 
##  2.768694e+00  1.516754e-01  1.458472e+00  3.138112e+00  1.269976e+00 
##         42445         42450         42453         42459         42460 
##  2.948117e+00  1.821513e+00 -9.686546e-01  3.176040e+00 -3.409041e-01 
##         42462         42473         42476         42481         42482 
##  6.795799e-01  3.771572e+00  7.288189e-01  3.026891e+00  1.981668e+00 
##         42493         42497         42499         42502         42504 
##  2.233612e+00  1.488981e+00  2.731527e-01  1.693762e+00  1.877223e+00 
##         42507         42508         42515         42516         42525 
##  1.100765e+00  4.737170e+00  4.808363e-02  3.137198e+00  2.778833e+00 
##         42532         42537         42541         42546         42547 
##  1.883234e+00 -9.548579e-01 -3.562861e-01  1.645140e+00  4.098361e+00 
##         42556         42564         42566         42569         42570 
##  1.963650e+00  3.401868e-01  3.255565e+00 -5.727100e-01  7.336789e-01 
##         42571         42572         42576         42580         42582 
## -1.135172e+00  9.790357e-01  1.424751e+00 -1.429795e+00  2.312977e-01 
##         42587         42588         42589         42591         42597 
##  6.471006e-01 -5.921893e-01 -1.381818e+00  1.782122e+00  1.889612e+00 
##         42598         42599         42601         42602         42605 
## -1.176039e-01  2.561682e+00  1.730701e+00  1.962789e+00  1.481259e-01 
##         42609         42610         42616         42624         42633 
##  2.960093e+00  2.023228e+00  7.217881e+00  1.930147e+00 -5.288544e-01 
##         42640         42641         42645         42646         42648 
##  1.332165e+00  1.445494e+00  1.881960e+00  8.128608e-01  1.601572e+00 
##         42649         42650         42655         42657         42666 
##  2.438294e+00  2.928245e+00  3.509087e+00  6.091154e-01  1.096826e+00 
##         42668         42670         42680         42686         42687 
##  2.779344e+00 -2.753882e-02  2.012793e+00  1.550324e+00  4.123375e-01 
##         42688         42690         42692         42694         42695 
##  2.401070e+00  1.431982e+00 -4.893843e-01 -3.412139e-01  1.389102e+00 
##         42698         42699         42703         42705         42706 
## -1.100216e+00  3.374501e+00  4.164653e+00  1.255480e+00 -3.735010e-01 
##         42711         42712         42718         42727         42728 
## -1.313712e+00  5.265924e+00  2.517672e+00  5.653485e-02  1.997893e+00 
##         42733         42734         42740         42744         42746 
##  3.099001e+00  2.340301e-01 -5.369629e-01  3.376814e+00  2.532494e-01 
##         42747         42749         42753         42764         42765 
## -1.963859e+00  1.917130e+00  8.237479e-01  1.179745e+00  1.254175e+00 
##         42769         42771         42776         42777         42783 
##  9.589727e-01  1.272350e+00  1.783495e+00  1.034693e+00 -9.250102e-01 
##         42789         42791         42794         42796         42798 
##  5.917812e+00  1.421462e+00 -3.923297e-01  8.325519e-01  2.788735e+00 
##         42808         42810         42811         42817         42820 
##  1.914210e+00  8.700898e-01  4.609990e-01 -1.142062e+00  1.761732e+00 
##         42823         42825         42826         42828         42836 
##  2.868662e+00  9.261644e-01 -1.467145e-01  8.571924e-01 -2.754835e-01 
##         42837         42838         42839         42842         42844 
##  1.069695e+00 -2.960665e-01  1.063962e+00  1.554672e+00  8.362236e-01 
##         42848         42850         42851         42856         42858 
##  2.768904e+00  1.878284e-01 -5.164978e-01  1.966259e+00  1.831953e+00 
##         42866         42868         42871         42879         42885 
##  1.045567e+00 -3.316973e-01  7.355972e-01  1.652247e+00  5.431099e-01 
##         42891         42892         42895         42902         42903 
##  1.346733e+00  4.529342e+00 -3.723974e-01  9.361368e-01 -2.324028e-01 
##         42907         42910         42912         42914         42916 
##  7.020551e-01  2.929658e+00  1.789048e+00  6.326247e-01  2.086070e+00 
##         42918         42919         42921         42926         42928 
##  1.482136e+00  1.912384e+00  1.171873e+00  2.614893e+00 -3.255000e-01 
##         42930         42931         42934         42938         42942 
##  1.205292e+00  2.539093e+00  3.538370e-01  3.062764e+00  4.641380e+00 
##         42943         42944         42945         42946         42947 
##  2.167806e+00  2.378671e+00  2.982237e+00  2.628152e+00 -2.518209e+00 
##         42950         42951         42952         42955         42959 
## -1.130602e+00 -7.143663e-02  3.230017e+00  2.110506e+00 -2.493698e+00 
##         42962         42968         42969         42970         42973 
##  4.214234e+00 -4.542128e-01  2.984065e+00 -6.935295e-03  1.471884e+00 
##         42978         42979         42982         42984         42987 
##  1.808901e+00  2.459425e+00 -1.192423e+00  1.929408e+00 -9.711158e-01 
##         42998         43004         43009         43011         43020 
##  6.928370e-01  2.475115e+00  1.432962e+00  1.880092e+00  7.912321e-01 
##         43022         43031         43038         43039         43041 
## -6.387517e-01 -1.933009e+00  1.112859e-01  2.559043e+00  1.122829e+00 
##         43047         43050         43051         43055         43059 
##  4.903491e-01  1.160808e+00  1.911685e+00  3.061750e+00  1.867338e+00 
##         43063         43064         43068         43072         43078 
##  1.813272e+00  1.996700e+00  2.226430e+00  8.575432e-01  2.124115e+00 
##         43082         43086         43090         43092         43095 
## -2.140247e-01  1.514873e+00  1.614814e+00  9.975508e-01  3.938685e+00 
##         43096         43098         43099         43101         43102 
##  8.628669e-01  1.760613e+00  2.925517e+00 -3.836136e-01 -9.415643e-01 
##         43103         43110         43114         43119         43122 
##  2.153166e+00 -3.401544e-01  1.752672e+00  5.754314e+00  2.846028e+00 
##         43124         43126         43130         43137         43138 
##  1.663339e+00  6.695010e-01  9.486780e-01  3.934031e+00  2.301716e+00 
##         43142         43143         43144         43146         43147 
##  5.526830e-01  3.378569e+00  7.336616e-01  1.367699e+00  4.069753e+00 
##         43153         43155         43157         43168         43169 
##  1.647967e-02  1.263450e+00  1.309021e+00 -2.146521e-01  1.251638e+00 
##         43172         43173         43174         43177         43182 
##  2.424484e+00  4.265835e-01  8.987844e-03  6.473926e+00  1.880526e+00 
##         43187         43192         43195         43198         43209 
##  1.679522e+00 -9.007145e-01  3.527273e+00  3.045952e+00  1.000273e+00 
##         43211         43213         43215         43217         43219 
##  5.678362e-01  1.722994e+00  2.369683e+00  2.438943e+00  2.741577e+00 
##         43220         43221         43222         43223         43228 
##  2.099254e+00  2.749847e+00  5.750443e-01 -6.247037e-01 -1.124068e-01 
##         43229         43232         43234         43243         43246 
##  2.510475e+00  1.256831e+00  9.579152e-01  8.281219e-01  1.662441e+00 
##         43249         43250         43252         43253         43256 
##  1.441789e+00  1.570842e+00  1.726883e+00  3.739467e+00  5.319547e-01 
##         43259         43266         43267         43268         43269 
##  1.324024e+00  3.414120e+00  1.085805e+00 -1.822414e+00  4.765146e-01 
##         43275         43280         43281         43287         43288 
## -3.824708e-01 -6.579611e-01  2.895952e+00 -4.044019e-01  1.750114e+00 
##         43289         43293         43294         43296         43299 
##  2.052911e+00  2.091299e+00  4.964109e+00  6.252578e-01 -4.889385e-01 
##         43302         43308         43309         43314         43316 
## -1.013450e+00  6.693824e-01 -2.265711e-01 -5.805463e-01  3.002030e+00 
##         43317         43319         43322         43325         43330 
##  3.404573e-01  2.575821e+00  2.141402e+00 -2.078249e+00  2.322335e+00 
##         43332         43337         43341         43344         43346 
##  6.438124e-02  2.360774e+00  1.127458e+00 -1.468364e+00  8.280684e-01 
##         43349         43352         43360         43365         43372 
##  2.814720e+00  2.479142e+00  3.631928e+00  1.571805e-01  2.337188e+00 
##         43374         43380         43382         43383         43390 
##  1.602114e+00  3.778646e+00 -1.118713e-01  8.865348e-01 -5.205819e-01 
##         43394         43396         43398         43402         43404 
##  2.612300e+00  1.836343e+00  1.585267e+00  2.217491e+00 -1.250864e+00 
##         43406         43410         43412         43416         43417 
##  1.278580e-01 -1.564742e-01  2.403861e+00  2.455461e-01  3.763482e+00 
##         43418         43419         43421         43424         43426 
##  3.644080e+00 -5.608427e-02 -2.321427e-03  2.400007e+00  1.824180e+00 
##         43427         43437         43439         43450         43451 
##  3.787437e+00  1.839019e+00  1.445262e+00 -1.328233e+00  5.672304e-01 
##         43452         43458         43463         43464         43467 
## -2.682667e+00  5.728544e+00 -4.997170e-01 -4.849001e-01 -9.301757e-01 
##         43480         43483         43486         43488         43489 
##  3.455833e-01  5.656836e-01  1.608324e-01 -1.537141e+00 -1.446691e+00 
##         43490         43499         43500         43501         43502 
##  3.333598e+00  3.492225e-01  1.969159e+00  5.144563e-02  2.182621e+00 
##         43504         43508         43510         43516         43520 
##  8.667093e-01 -7.254321e-01  3.171748e+00  3.387589e-01  1.181461e+00 
##         43521         43523         43526         43527         43528 
##  3.413232e+00  1.007469e+00  4.628596e-01 -6.987683e-01 -4.513565e-01 
##         43532         43533         43534         43537         43551 
##  3.094634e+00  4.259163e+00 -2.161436e+00  1.355010e+00  2.952056e+00 
##         43558         43559         43560         43566         43567 
## -2.136571e+00  3.575713e+00  3.600551e+00 -7.287712e-01  1.837950e-01 
##         43568         43569         43571         43580         43583 
##  2.337019e+00  1.599224e+00 -1.432979e+00 -1.769794e+00  1.211455e+00 
##         43586         43589         43590         43591         43605 
##  5.095821e+00  1.564875e+00  1.790752e+00  2.542315e+00  9.995206e-01 
##         43606         43610         43613         43620         43621 
## -2.346746e+00  1.806373e+00  7.303403e-01 -7.095340e-01  1.480455e+00 
##         43626         43632         43633         43639         43640 
##  2.190784e+00 -5.204654e-01  1.050264e-01  1.143522e+00  1.635039e+00 
##         43642         43643         43646         43653         43655 
##  3.931134e+00  6.281696e-01 -1.239890e+00  1.393182e+00  1.394383e+00 
##         43662         43664         43665         43666         43670 
##  2.596106e+00  4.201980e+00  1.509832e+00  1.206930e+00  3.562002e-02 
##         43674         43676         43677         43682         43683 
##  3.859438e+00  1.470705e+00  1.150947e+00  4.333070e+00  2.427853e+00 
##         43686         43689         43690         43691         43692 
##  1.884508e+00  3.020538e+00  1.092609e+00  2.854225e+00  2.535609e+00 
##         43693         43694         43698         43700         43702 
##  2.171208e-01  4.895770e+00  3.118161e+00  4.313640e+00  1.820545e+00 
##         43703         43719         43720         43722         43724 
##  3.072233e-02  2.342930e+00  3.523094e+00  4.374640e-01 -4.377884e-01 
##         43725         43726         43727         43732         43733 
##  3.584457e-01  1.992282e+00 -5.053299e-01  1.673186e+00  5.035208e+00 
##         43736         43741         43748         43750         43756 
##  1.626700e+00  3.812691e+00  2.284972e+00 -3.665411e-01  2.673877e+00 
##         43758         43759         43769         43772         43773 
##  4.787138e-01 -1.933372e+00 -2.150815e+00  1.462983e+00  3.301910e+00 
##         43776         43781         43787         43791         43794 
##  2.298067e+00  1.899573e+00 -3.210911e-01  1.508346e+00  1.413988e+00 
##         43800         43805         43811         43820         43821 
##  1.591362e-01  6.321101e-01 -1.120201e-03  1.916669e-01  1.449521e+00 
##         43822         43825         43840         43841         43842 
##  1.642418e+00 -2.222832e-01  9.994036e-01 -8.275362e-01  3.234959e+00 
##         43845         43850         43851         43854         43858 
##  3.545738e+00 -7.312762e-01  1.955475e+00  1.102387e+00 -1.733882e+00 
##         43859         43867         43868         43870         43871 
##  1.977835e+00  1.376406e+00  1.330549e+00  2.486918e+00 -1.184812e+00 
##         43874         43876         43877         43882         43884 
##  7.812778e-01  4.348447e-02  8.162301e-01  8.026384e-01  2.459842e+00 
##         43885         43888         43894         43895         43897 
##  6.449645e-01  1.780338e+00 -6.150461e-01  9.033473e-01 -4.518986e-01 
##         43898         43899         43902         43915         43916 
##  1.234049e+00  6.988046e-01  2.263492e+00  2.756735e+00 -3.306287e+00 
##         43918         43920         43922         43924         43925 
##  8.727732e-01  2.917146e-01 -1.144783e+00 -1.957418e+00 -1.071372e+00 
##         43931         43933         43935         43936         43938 
##  4.008714e-01  2.244126e+00  3.003900e+00  1.488940e+00  6.645781e-01 
##         43939         43942         43944         43945         43953 
##  2.482258e+00 -9.197275e-01  5.119436e-01  1.090104e+00  1.878280e-01 
##         43956         43958         43960         43971         43975 
##  7.052365e-01 -8.051179e-01  4.657311e+00  2.249600e-01  3.575672e+00 
##         43977         43981         43982         43991         43992 
##  3.653004e+00  1.525170e+00 -1.199988e-01  1.589937e+00  3.086278e-01 
##         43993         43996         43997         43998         43999 
##  2.625573e+00  1.205415e+00  7.145865e-01  4.334555e+00  1.180207e+00 
##         44000         44007         44008         44012         44016 
##  2.260882e+00  1.142186e+00  3.190232e+00  1.528631e+00 -7.934513e-01 
##         44017         44018         44021         44025         44029 
## -6.983012e-01  3.588456e+00 -3.582779e-02 -8.502951e-01  1.847054e+00 
##         44030         44038         44041         44042         44044 
##  8.484039e-01  9.904512e-02  1.939599e+00  2.041753e+00  1.976393e+00 
##         44045         44052         44059         44061         44063 
##  4.819716e+00  3.500576e+00  1.955761e+00  2.230975e+00 -2.255039e-01 
##         44070         44075         44076         44080         44083 
##  2.449165e+00  1.955156e+00  1.235569e+00  2.554169e+00  2.709288e+00 
##         44084         44085         44088         44089         44094 
##  1.396742e+00  9.142427e-01  1.465452e+00  3.313879e+00 -1.207327e-02 
##         44095         44109         44114         44116         44118 
##  2.444661e+00  8.368266e-01  2.488851e+00  1.001233e+00  2.221932e+00 
##         44119         44120         44130         44132         44140 
##  7.322486e-01  5.449921e+00 -1.015058e+00  1.582283e+00  1.452494e+00 
##         44141         44144         44146         44150         44151 
## -1.570800e-01  2.339367e+00  2.445165e+00  6.366689e-01  4.654016e-01 
##         44160         44175         44181         44186         44189 
##  2.166727e+00  1.222908e+00  2.115050e+00  3.595606e+00 -9.612648e-01 
##         44193         44197         44198         44200         44204 
##  1.256989e+00  1.288520e+00  2.388130e+00  1.358389e-02  9.151099e-01 
##         44208         44214         44215         44217         44218 
##  2.822790e+00  1.248774e+00  1.588148e+00  2.246784e+00  1.437439e+00 
##         44220         44221         44223         44227         44228 
##  2.283291e+00  1.683822e+00  1.929892e+00  7.837537e-01  1.374626e+00 
##         44229         44230         44231         44232         44236 
##  1.355284e+00 -4.815556e-01  1.716084e+00 -3.092189e+00  3.870466e+00 
##         44237         44244         44246         44247         44260 
##  3.755550e+00  4.281484e-01  5.284151e-02 -9.890136e-01  1.653780e+00 
##         44266         44268         44271         44273         44275 
##  1.261950e+00 -5.021524e-01  2.723235e+00 -5.190378e-01 -2.462624e-01 
##         44280         44282         44284         44286         44294 
##  6.355809e-02  8.513665e-01  1.495266e+00  1.671248e+00 -1.260448e+00 
##         44296         44299         44301         44303         44304 
##  1.296949e+00  8.037761e-02 -2.965013e-01 -3.557170e-01  2.783908e+00 
##         44306         44309         44311         44315         44318 
##  1.235079e+00  2.345841e+00  1.006326e+00  2.426083e+00 -8.680180e-01 
##         44319         44323         44327         44328         44329 
##  1.224791e-01  3.120210e+00  1.110574e+00 -4.538113e-02  2.493862e+00 
##         44331         44336         44341         44342         44351 
##  5.551296e-01  1.857011e+00  1.731116e+00 -7.147278e-01 -2.561845e-01 
##         44353         44354         44359         44363         44370 
##  1.520943e+00 -1.025410e+00  1.149857e+00 -5.296446e-01 -1.136934e+00 
##         44371         44372         44373         44374         44383 
##  2.139541e+00  1.803704e+00  1.999500e+00 -5.148495e-01 -1.699088e+00 
##         44384         44390         44395         44397         44400 
## -5.942514e-01  9.411120e-01  1.820546e+00 -7.692843e-01  3.392443e+00 
##         44401         44404         44414         44415         44418 
##  4.711275e-01 -1.828328e+00  7.580210e-01  3.183150e-01  8.746025e-01 
##         44421         44429         44433         44436         44438 
##  2.818456e+00  2.245341e+00 -2.606401e+00  2.624837e+00 -1.227681e+00 
##         44440         44441         44443         44444         44445 
##  4.335520e-01  2.137378e+00 -2.724946e+00  6.205166e-01  7.778472e-01 
##         44449         44452         44453         44455         44458 
##  2.006750e+00  6.230364e-01  3.882470e-01  7.494305e-01  1.944161e+00 
##         44460         44462         44468         44471         44473 
##  2.213685e-01  7.940519e-01  2.220253e-01  1.101499e+00  7.299110e-01 
##         44475         44489         44490         44492         44497 
## -1.151400e+00  2.672451e+00  1.076357e+00  8.027986e-01  4.404815e-01 
##         44499         44505         44509         44513         44516 
##  2.044517e+00  8.816586e-01 -1.384695e+00 -1.372382e+00 -7.971267e-01 
##         44522         44527         44532         44534         44535 
##  2.526691e+00  2.343033e+00 -1.184402e-01 -1.433590e+00  6.620471e-01 
##         44539         44551         44552         44556         44561 
##  1.628100e+00  3.351421e+00  1.910432e+00 -5.855646e-01 -5.905730e-01 
##         44563         44568         44571         44572         44573 
## -7.545034e-01  1.161452e+00  1.011121e+00  1.094483e+00  4.010339e-01 
##         44575         44576         44579         44580         44583 
##  1.712549e+00  4.004594e+00 -8.364658e-01  1.119873e+00  1.240128e+00 
##         44584         44587         44590         44594         44597 
##  1.756641e+00  1.875435e+00  3.016335e+00  1.941551e+00 -3.222624e-01 
##         44603         44605         44607         44612         44613 
##  2.228258e+00  2.029469e+00  1.189510e+00  1.425750e-01  3.844163e+00 
##         44616         44621         44623         44627         44638 
## -1.637789e+00  1.493854e+00 -2.765800e+00  1.087058e+00 -9.750079e-01 
##         44641         44645         44646         44651         44652 
##  2.579731e+00 -4.043069e-01  2.269407e+00  2.740690e+00  2.328150e+00 
##         44653         44656         44661         44662         44663 
##  2.329971e+00  2.013859e+00  2.461367e+00  1.476616e+00  1.780823e+00 
##         44667         44669         44670         44672         44676 
##  9.797062e-01  3.721669e+00  6.724153e-01  1.391621e+00 -8.256140e-01 
##         44682         44683         44684         44691         44692 
##  1.784076e+00  3.250404e+00 -1.014326e+00 -1.930725e-02 -7.237116e-01 
##         44694         44701         44704         44708         44711 
##  1.413196e+00  1.713209e+00 -8.771406e-02 -7.143933e-01  1.205881e+00 
##         44713         44715         44719         44722         44723 
##  2.908751e+00  1.693004e+00 -4.270629e-02  1.904849e+00  2.072105e+00 
##         44727         44728         44730         44731         44733 
##  1.393850e+00  3.427458e+00 -3.121573e-02  1.456106e+00  4.978218e-01 
##         44738         44739         44740         44742         44744 
##  2.672250e+00  2.759381e-01  2.813513e-01  4.414717e-01 -4.581004e-01 
##         44746         44749         44752         44753         44765 
##  1.463263e+00  1.922909e+00  2.121046e-01  2.708486e+00 -2.933821e-01 
##         44768         44772         44777         44779         44782 
##  2.971632e+00  1.036461e+00  3.980914e+00  1.922825e+00  2.034733e+00 
##         44789         44790         44792         44793         44799 
##  1.399661e+00  2.854368e+00  4.675210e+00  7.049011e-01  2.432404e+00 
##         44805         44816         44824         44828         44832 
##  8.426949e-01  1.795219e+00  1.014324e+00  1.656674e+00 -3.257070e-01 
##         44837         44838         44841         44849         44851 
## -9.495981e-01  3.312979e+00 -2.398558e-02  2.178760e+00  2.754185e+00 
##         44855         44857         44861         44863         44864 
##  4.807924e-01  1.521293e+00  3.639899e+00  1.719777e+00  3.834927e+00 
##         44875         44879         44888         44889         44892 
##  3.181631e+00 -1.750057e+00  1.797664e+00  1.624173e+00  7.923474e-01 
##         44893         44900         44906         44910         44914 
##  1.177246e+00 -1.858132e+00  9.656121e-02  2.454506e+00 -9.082179e-01 
##         44919         44922         44925         44927         44933 
##  1.668967e+00  1.161420e+00  3.808528e+00  1.667849e+00  6.497600e-01 
##         44934         44935         44942         44946         44948 
##  1.583170e+00  5.227685e-01 -1.257433e+00  2.910924e+00 -4.248902e+00 
##         44950         44951         44953         44957         44958 
## -9.760688e-01 -2.283490e-01 -3.797744e-01  2.263544e+00  6.407752e-01 
##         44959         44961         44962         44964         44965 
## -6.472675e-01  1.081656e+00  9.006769e-01  1.531358e+00 -5.332063e-01 
##         44966         44971         44982         44987         44995 
##  1.596267e+00  1.134553e+00  4.871775e-01  4.112643e+00  2.929734e+00
pred <- prediction(PredictROC, test$loan_status)
perf <- performance(pred, "tpr", "fpr")
plot(perf)

Η καμπύλη ROC παρουσιάζει τη σχέση μεταξύ του True Positive Rate (Sensitivity) και του False Positive Rate για διαφορετικές τιμές κατωφλίου. Η καμπύλη βρίσκεται κοντά στο πάνω αριστερό μέρος του διαγράμματος, γεγονός που υποδηλώνει καλή απόδοση του μοντέλου.

Υπολογισμός AUC

as.numeric(performance(pred, "auc")@y.values)
## [1] 0.953355

Η τιμή του AUC είναι 0.953, γεγονός που δείχνει ότι το μοντέλο Logistic Regression έχει πολύ υψηλή ικανότητα να διαχωρίζει σωστά τις δύο κατηγορίες της μεταβλητής loan_status. Όσο πιο κοντά είναι η τιμή του AUC στο 1, τόσο καλύτερη είναι η προγνωστική ικανότητα του μοντέλου.


Σύγκριση Μοντέλων

Συγκρίνουμε το μοντέλο CART με το μοντέλο λογιστικής παλινδρόμησης.

Αρχικά, ο CART έχει λίγο μεγαλύτερο accuracy (0.9079) από τη λογιστική παλινδρόμηση (0.8963), άρα συνολικά κάνει λίγο λιγότερα λάθη.

Όμως, η λογιστική παλινδρόμηση έχει μεγαλύτερο sensitivity (0.7477 σε σχέση με 0.6743), δηλαδή βρίσκει καλύτερα τις περιπτώσεις που ανήκουν στην κατηγορία 1.

Από την άλλη, ο CART έχει μεγαλύτερο specificity (0.9746 έναντι 0.9389), δηλαδή αναγνωρίζει καλύτερα τις περιπτώσεις της κατηγορίας 0.

Όσον αφορά την καμπύλη ROC και την τιμή AUC, η λογιστική παλινδρόμηση έχει μεγαλύτερη τιμή (0.9533 σε σχέση με 0.9425), κάτι που δείχνει ότι συνολικά ξεχωρίζει καλύτερα τις δύο κατηγορίες.

Συμπερασματικά, παρόλο που ο CART έχει λίγο μεγαλύτερη ακρίβεια, η λογιστική παλινδρόμηση θεωρείται καλύτερο μοντέλο συνολικά, γιατί έχει μεγαλύτερη AUC και βρίσκει πιο σωστά τις θετικές περιπτώσεις.