Homework 1

HOMEWORK 1: MONEY BALL ASSIGNMENT

Introduction

In this homework assignment, you will explore, analyze and model a data set containing approximately 2200 records. Each record represents a professional baseball team from the years 1871 to 2006 inclusive.

Each record has the performance of the team for the given year, with all of the statistics adjusted to match the performance of a 162 game season.

Objectives: - Build a multiple linear regression model on the training data - Predict the number of wins for the team. - You can only use the variables given to you (or variables that you derive from the variables provided).

library(tidyverse)

## ── Attaching core tidyverse packages ──────────────────────── tidyverse 2.0.0 ──
## ✔ dplyr     1.1.4     ✔ readr     2.1.5
## ✔ forcats   1.0.0     ✔ stringr   1.5.1
## ✔ ggplot2   3.5.2     ✔ tibble    3.3.0
## ✔ lubridate 1.9.4     ✔ tidyr     1.3.1
## ✔ purrr     1.1.0     
## ── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
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## ✖ dplyr::lag()    masks stats::lag()
## ℹ Use the conflicted package (<http://conflicted.r-lib.org/>) to force all conflicts to become errors

library(stringr)
library(skimr)
library(MASS)

## 
## Attaching package: 'MASS'
## 
## The following object is masked from 'package:dplyr':
## 
##     select

# Load from Github
moneyBall_training <- read_csv("/Users/dirkhartog/Desktop/CUNY_MSDS/DATA_621/Homeworks/HW1/moneyball-training-data (1).csv", show_col_types = FALSE)
# Drop Index
moneyBall_training <- moneyBall_training %>% dplyr::select(-INDEX)

moneyBall_evaluation <- read_csv("/Users/dirkhartog/Desktop/CUNY_MSDS/DATA_621/Homeworks/HW1/moneyball-evaluation-data (1).csv", show_col_types = FALSE)
# Drop Index
moneyBall_evaluation <- moneyBall_evaluation %>% dplyr::select(-INDEX)

Exploratory Data Analysis

head(moneyBall_training)

## # A tibble: 6 × 16
##   TARGET_WINS TEAM_BATTING_H TEAM_BATTING_2B TEAM_BATTING_3B TEAM_BATTING_HR
##         <dbl>          <dbl>           <dbl>           <dbl>           <dbl>
## 1          39           1445             194              39              13
## 2          70           1339             219              22             190
## 3          86           1377             232              35             137
## 4          70           1387             209              38              96
## 5          82           1297             186              27             102
## 6          75           1279             200              36              92
## # ℹ 11 more variables: TEAM_BATTING_BB <dbl>, TEAM_BATTING_SO <dbl>,
## #   TEAM_BASERUN_SB <dbl>, TEAM_BASERUN_CS <dbl>, TEAM_BATTING_HBP <dbl>,
## #   TEAM_PITCHING_H <dbl>, TEAM_PITCHING_HR <dbl>, TEAM_PITCHING_BB <dbl>,
## #   TEAM_PITCHING_SO <dbl>, TEAM_FIELDING_E <dbl>, TEAM_FIELDING_DP <dbl>

skim(moneyBall_training) %>% arrange(desc(n_missing))

Data summary

Name	moneyBall_training
Number of rows	2276
Number of columns	16
_______________________
Column type frequency:
numeric	16
________________________
Group variables	None

Variable type: numeric

skim_variable	n_missing	complete_rate	mean	sd	p0	p25	p50	p75	p100	hist
TEAM_BATTING_HBP	2085	0.08	59.36	12.97	29	50.5	58.0	67.00	95	▂▇▇▅▁
TEAM_BASERUN_CS	772	0.66	52.80	22.96	0	38.0	49.0	62.00	201	▃▇▁▁▁
TEAM_FIELDING_DP	286	0.87	146.39	26.23	52	131.0	149.0	164.00	228	▁▂▇▆▁
TEAM_BASERUN_SB	131	0.94	124.76	87.79	0	66.0	101.0	156.00	697	▇▃▁▁▁
TEAM_BATTING_SO	102	0.96	735.61	248.53	0	548.0	750.0	930.00	1399	▁▆▇▇▁
TEAM_PITCHING_SO	102	0.96	817.73	553.09	0	615.0	813.5	968.00	19278	▇▁▁▁▁
TARGET_WINS	0	1.00	80.79	15.75	0	71.0	82.0	92.00	146	▁▁▇▅▁
TEAM_BATTING_H	0	1.00	1469.27	144.59	891	1383.0	1454.0	1537.25	2554	▁▇▂▁▁
TEAM_BATTING_2B	0	1.00	241.25	46.80	69	208.0	238.0	273.00	458	▁▆▇▂▁
TEAM_BATTING_3B	0	1.00	55.25	27.94	0	34.0	47.0	72.00	223	▇▇▂▁▁
TEAM_BATTING_HR	0	1.00	99.61	60.55	0	42.0	102.0	147.00	264	▇▆▇▅▁
TEAM_BATTING_BB	0	1.00	501.56	122.67	0	451.0	512.0	580.00	878	▁▁▇▇▁
TEAM_PITCHING_H	0	1.00	1779.21	1406.84	1137	1419.0	1518.0	1682.50	30132	▇▁▁▁▁
TEAM_PITCHING_HR	0	1.00	105.70	61.30	0	50.0	107.0	150.00	343	▇▇▆▁▁
TEAM_PITCHING_BB	0	1.00	553.01	166.36	0	476.0	536.5	611.00	3645	▇▁▁▁▁
TEAM_FIELDING_E	0	1.00	246.48	227.77	65	127.0	159.0	249.25	1898	▇▁▁▁▁

skim_df_as_data_frame <- skim(moneyBall_training) %>% arrange(desc(n_missing))
# save output to csv
write.csv(skim_df_as_data_frame, "skim_output.csv", row.names = FALSE)

There are several variables with minimum values of 0. This might be due to errors in recording the data.

Exploratory visualizations

par(mfrow = c(3,2))

offense_cols <- c("TEAM_BATTING_HBP", "TEAM_BATTING_SO", "TEAM_BATTING_H", 
                  "TEAM_BATTING_2B", "TEAM_BATTING_3B","TEAM_BATTING_HR", 
                  "TEAM_BATTING_BB", "TEAM_BASERUN_SB","TEAM_BASERUN_CS")

moneyBall_training %>% dplyr::select(all_of(offense_cols)) %>% 
  pivot_longer(cols = all_of(offense_cols), names_to = "Feature", values_to = "Value") %>% 
  ggplot(aes(x = Value)) + geom_histogram(binwidth = 15) + 
  facet_wrap(~ Feature, nrow = 3, ncol = 3, scales = "free") + labs(title = "Batting and Baserun Features")

## Warning: Removed 3090 rows containing non-finite outside the scale range
## (`stat_bin()`).

defense_cols <- c("TEAM_PITCHING_H", "TEAM_PITCHING_HR", "TEAM_PITCHING_BB", 
                  "TEAM_PITCHING_SO",  "TEAM_FIELDING_E",  "TEAM_FIELDING_DP")

moneyBall_training %>% dplyr::select(all_of(defense_cols)) %>% 
  pivot_longer(cols = all_of(defense_cols), names_to = "Feature", values_to = "Value") %>% 
  ggplot(aes(x = Value)) + geom_histogram(binwidth = 15) + 
  facet_wrap(~ Feature, nrow = 2, ncol = 3, scales = "free") + labs(title = "Pitching and Fielding Features")

## Warning: Removed 388 rows containing non-finite outside the scale range
## (`stat_bin()`).

Team Fielding Errors, Team Pitching Hits (hits allowed), Team Pitching Strike Outs are all heavily right skewed where there is an extreme positive outlier.

library(ggpubr)

# Histogram
hst <- moneyBall_training %>% ggplot(aes(x = TARGET_WINS)) + 
  geom_histogram(binwidth = 5) + 
  ggtitle("Target Wins") +
  ylab("Number of wins") 

# Boxplot
bxp <- moneyBall_training %>% ggplot(aes(y = TARGET_WINS)) + 
  geom_boxplot() + 
  ggtitle("Target Wins") +
  ylab("Number of Wwins") 

ggarrange(hst, bxp)

Explore relationships with the target variable

library(corrplot)

## corrplot 0.95 loaded

library(stringr)
cor_coef <- cor(moneyBall_training[2:ncol(moneyBall_training)], use = "complete.obs")

row_col_names = paste(str_to_title(str_split_i(row.names(cor_coef), "_", 2)) , str_to_upper(str_split_i(row.names(cor_coef), "_", 3)))
row_col_names[1] <- "Target Wins"
row_col_names

##  [1] "Target Wins" "Batting 2B"  "Batting 3B"  "Batting HR"  "Batting BB" 
##  [6] "Batting SO"  "Baserun SB"  "Baserun CS"  "Batting HBP" "Pitching H" 
## [11] "Pitching HR" "Pitching BB" "Pitching SO" "Fielding E"  "Fielding DP"

rownames(cor_coef) <- row_col_names
colnames(cor_coef) <- row_col_names


corrplot::corrplot(cor_coef)

Features with potential multicollinearity - Pitching HR:Batting HR - Pitching BB:Batting BB - Pitching SO:Batting SO

# Sorted correlations with the target variable 
tibble(Features = names(cor_coef[1,2:15]), CorrelationCoef = cor_coef[1,2:15]) %>% arrange(desc(CorrelationCoef))

## # A tibble: 14 × 2
##    Features    CorrelationCoef
##    <chr>                 <dbl>
##  1 Pitching H           0.999 
##  2 Batting 2B           0.562 
##  3 Batting HR           0.396 
##  4 Pitching HR          0.395 
##  5 Batting 3B           0.214 
##  6 Batting BB           0.197 
##  7 Pitching BB          0.195 
##  8 Baserun SB           0.0717
##  9 Fielding DP          0.0178
## 10 Batting HBP         -0.0291
## 11 Baserun CS          -0.0938
## 12 Fielding E          -0.254 
## 13 Batting SO          -0.342 
## 14 Pitching SO         -0.344

Most features have weak to moderate correlations with the target variable (Number of wins). Surprisingly, pitching hits which is expected to negatively impact wins has the strongest relationship (almost 1). This is likely inflated due to the extreme right skewness from a large positive outlier. Other features with a moderate correlation include Batting doubles, Batting home runs and Pitching home runs. Pitching strike outs, Batting strike outs, and Fielding errors all are negatively correlated with wins. Among these features, it’s unexpected that pitching strike outs would have a negative impact on the number of wins.

# Build scatter plots of Batting HR, Batting 2B, Pitching H, Pitching HR, 

bh <- moneyBall_training  %>% 
  ggplot(aes(x = TEAM_BATTING_H, y = TARGET_WINS)) + 
  geom_point() + 
  theme_minimal()

b2b <- moneyBall_training  %>% 
  ggplot(aes(x = TEAM_BATTING_2B, y = TARGET_WINS)) + 
  geom_point() + 
  theme_minimal()

phr <- moneyBall_training  %>% 
  ggplot(aes(x = TEAM_PITCHING_HR, y = TARGET_WINS)) + 
  geom_point() + 
  theme_minimal()

ph <- moneyBall_training  %>% 
  ggplot(aes(x = TEAM_PITCHING_H, y = TARGET_WINS)) + 
  geom_point() + 
  theme_minimal()

# Pitching SO

pso <- moneyBall_training  %>% 
  ggplot(aes(x = TEAM_PITCHING_SO, y = TARGET_WINS)) + 
  geom_point() + 
  theme_minimal()

# Batting SO

bso <- moneyBall_training  %>% 
  ggplot(aes(x = TEAM_BATTING_SO, y = TARGET_WINS)) + 
  geom_point() + 
  theme_minimal()

ggarrange(bh, b2b, phr, ph, pso, bso, ncol = 3, nrow = 2)

## Warning: Removed 102 rows containing missing values or values outside the scale range
## (`geom_point()`).
## Removed 102 rows containing missing values or values outside the scale range
## (`geom_point()`).

Data Processing

Handling missing values

# Find the number of missing values in each predictor
na_count <- sapply(moneyBall_training, function(x) sum(length(which(is.na(x)))))

# Create a data frame with the column name and the number of missing values 
na_df <- data.frame(na_count) %>% filter(na_count > 0) %>% arrange(desc(na_count))

na_df

##                  na_count
## TEAM_BATTING_HBP     2085
## TEAM_BASERUN_CS       772
## TEAM_FIELDING_DP      286
## TEAM_BASERUN_SB       131
## TEAM_BATTING_SO       102
## TEAM_PITCHING_SO      102

# Missingness map with cleaner formatting
image(is.na(moneyBall_training), 
      axes = FALSE, 
      col = c("white","red"))  # white = observed, red = missing

# Add column names on y-axis
axis(2, 
     at = seq(0, 1, length.out = ncol(moneyBall_training)), 
     labels = colnames(moneyBall_training), 
     las = 2, cex.axis = 0.7)

# Skip row labels (too many to read)
# Optionally, add a tick mark every 500 rows
row_idx <- seq(1, nrow(moneyBall_training), by = 200)
axis(1, 
     at = (row_idx-1)/(nrow(moneyBall_training)-1), 
     labels = rownames(moneyBall_training)[row_idx], 
     las = 2, cex.axis = 0.6)

# Add title
title("Missing Data Map (red = missing)")

Out of the five columns with missing values, TEAM_BATTING_HBP and TEAM_BASERUN_CS have the lowest completeness rate, 8.39% and 66% respectively. The hit-by-pitch rule, where the batter is awarded first base, was introduced in Major League Baseball in 1887 for the National League and 1884 for the American Association. The data set we have is from 1871 and could account for a portion of the missing values. We can categorize the missing values here to be missing completely at random as the missing values are independent of both observed and unobserved values in the dataset. The other four predictors with missing values all have at least 87% of their data present.

1. Drop TEAM_BATTING_HBP and TEAM_BASERUN_CS

Both the number of hits by pitch and the number of times a player was caught stealing a base have a significantly high number of missing values. These features are also very poorly correlated with the target variable. These reasons make dropping the two predictors from the data set a good strategy in handling the missing values.

moneyBall_train_processed <- moneyBall_training %>% 
   dplyr::select(-c(TEAM_BATTING_HBP, TEAM_BASERUN_CS))

2. Single Imputation

for(i in 2:ncol(moneyBall_train_processed)){
  moneyBall_train_processed[[i]][is.na(moneyBall_train_processed[,i])] <-            mean(moneyBall_train_processed[[i]], na.rm = TRUE)
  #mean_val <- mean(moneyBall_train_processes[[i]], na.rm = TRUE)
  #moneyBall_train_processes[[i]][is.na(moneyBall_train_processes[,i])] <- mean_val
}

sapply(moneyBall_train_processed, function(x) sum(length(which(is.na(x)))))

##      TARGET_WINS   TEAM_BATTING_H  TEAM_BATTING_2B  TEAM_BATTING_3B 
##                0                0                0                0 
##  TEAM_BATTING_HR  TEAM_BATTING_BB  TEAM_BATTING_SO  TEAM_BASERUN_SB 
##                0                0                0                0 
##  TEAM_PITCHING_H TEAM_PITCHING_HR TEAM_PITCHING_BB TEAM_PITCHING_SO 
##                0                0                0                0 
##  TEAM_FIELDING_E TEAM_FIELDING_DP 
##                0                0

Modelling

Base Model

1. Split Data into training and testing data sets
2. Standardize training data
3. Fit a linear regression model
4. Use test set for predictions
   
5. Evaluate model

library(tidymodels)

## ── Attaching packages ────────────────────────────────────── tidymodels 1.4.1 ──

## ✔ broom        1.0.9     ✔ rsample      1.3.1
## ✔ dials        1.4.2     ✔ tailor       0.1.0
## ✔ infer        1.0.9     ✔ tune         2.0.0
## ✔ modeldata    1.5.1     ✔ workflows    1.3.0
## ✔ parsnip      1.3.3     ✔ workflowsets 1.1.1
## ✔ recipes      1.3.1     ✔ yardstick    1.3.2

## ── Conflicts ───────────────────────────────────────── tidymodels_conflicts() ──
## ✖ scales::discard() masks purrr::discard()
## ✖ dplyr::filter()   masks stats::filter()
## ✖ recipes::fixed()  masks stringr::fixed()
## ✖ dplyr::lag()      masks stats::lag()
## ✖ MASS::select()    masks dplyr::select()
## ✖ yardstick::spec() masks readr::spec()
## ✖ recipes::step()   masks stats::step()

set.seed(100)
# Split data into train and test sets 
train_test_split <- initial_split(moneyBall_train_processed, prop = 0.8)

## TRAIN SET
train_df <- training(train_test_split)

# Predictors
x_train <- dplyr::select(train_df, -TARGET_WINS)
# Center and scale predictors 
X_train_scaled <- x_train %>% scale()
# Target
y_train <- train_df$TARGET_WINS

training_data <- data.frame(TARGET_WINS = y_train, X_train_scaled)

## TEST SET
test_df  <- testing(train_test_split)

# Predictors
x_test  <- dplyr::select(test_df,  -TARGET_WINS)
# Center and scale predictors 
x_test_scaled <- x_test %>% scale()
# Target
y_test  <- test_df$TARGET_WINS

testing_data <- data.frame(TARGET_WINS = y_test, x_test_scaled)

m1 <- lm(TARGET_WINS ~., data = training_data)

summary(m1)

## 
## Call:
## lm(formula = TARGET_WINS ~ ., data = training_data)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -50.209  -8.696   0.213   8.358  58.827 
## 
## Coefficients:
##                   Estimate Std. Error t value Pr(>|t|)    
## (Intercept)      80.736813   0.307570 262.499  < 2e-16 ***
## TEAM_BATTING_H    7.233305   0.589071  12.279  < 2e-16 ***
## TEAM_BATTING_2B  -1.108656   0.480629  -2.307  0.02119 *  
## TEAM_BATTING_3B   1.465322   0.522714   2.803  0.00511 ** 
## TEAM_BATTING_HR   4.168915   1.921134   2.170  0.03013 *  
## TEAM_BATTING_BB   1.245948   0.799626   1.558  0.11937    
## TEAM_BATTING_SO  -2.264088   0.691724  -3.273  0.00108 ** 
## TEAM_BASERUN_SB   2.430833   0.416325   5.839 6.22e-09 ***
## TEAM_PITCHING_H  -1.250896   0.574482  -2.177  0.02958 *  
## TEAM_PITCHING_HR  0.004267   1.736898   0.002  0.99804    
## TEAM_PITCHING_BB  0.384449   0.791784   0.486  0.62735    
## TEAM_PITCHING_SO  1.489079   0.584418   2.548  0.01092 *  
## TEAM_FIELDING_E  -4.678968   0.631152  -7.413 1.88e-13 ***
## TEAM_FIELDING_DP -2.991383   0.361108  -8.284 2.29e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 13.12 on 1806 degrees of freedom
## Multiple R-squared:  0.3246, Adjusted R-squared:  0.3197 
## F-statistic: 66.76 on 13 and 1806 DF,  p-value: < 2.2e-16

Feature Selection

1. Address collinearity

Multicollinearity is when two more more variables are highly correlated with each other. Addressing collinear variables can improve regression models by resulting in more precise predictions, robust insights where predicted regression coefficients are more interpretable and dependable.

TEAM_PITCHING_HR was highly correlated with TEAM_BATTING_HR, which potential introduces the issue of multicollinearity. It is also noted in the base model that this had the highest P-value, which gives evidence of a good starting place for elimination.

library(car)

## Loading required package: carData

## 
## Attaching package: 'car'

## The following object is masked from 'package:dplyr':
## 
##     recode

## The following object is masked from 'package:purrr':
## 
##     some

# Write a function that takes a model, calculates VIF and plots it on a bar chart

plot_vif <- function(fitted_model, model_name){
  # Calculate VIF
  vif_values <- vif(fitted_model)
  
  # Convert VIF results to a data frame for plotting
  vif_df <- data.frame(Variable = names(vif_values), VIF = vif_values)
  
  # Set a threshold to indicate high VIF
  high_vif_threshold <- 5
  
  # Generate bar plot 
  ggplot(vif_df, aes(Variable, VIF)) + 
    geom_bar(stat = "identity", fill = "steelblue") + 
    geom_hline(yintercept = high_vif_threshold, linetype = "dashed", color = "red") + 
    scale_y_continuous(limits = c(0, max(vif_df$VIF) + 1)) + 
    labs(title = paste0("Variance Inflation Factor (VIF) for Regression Model - ", model_name), 
         y = "VIF",
         x = "Variable") + 
    theme_minimal() + 
    theme(axis.text.x = element_text(angle = 45, hjust = 1))
  
}

plot_vif(m1, "m1")

m2 <- update(m1, .~. - TEAM_PITCHING_HR)
summary(m2)

## 
## Call:
## lm(formula = TARGET_WINS ~ TEAM_BATTING_H + TEAM_BATTING_2B + 
##     TEAM_BATTING_3B + TEAM_BATTING_HR + TEAM_BATTING_BB + TEAM_BATTING_SO + 
##     TEAM_BASERUN_SB + TEAM_PITCHING_H + TEAM_PITCHING_BB + TEAM_PITCHING_SO + 
##     TEAM_FIELDING_E + TEAM_FIELDING_DP, data = training_data)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -50.209  -8.696   0.213   8.357  58.827 
## 
## Coefficients:
##                  Estimate Std. Error t value Pr(>|t|)    
## (Intercept)       80.7368     0.3075 262.572  < 2e-16 ***
## TEAM_BATTING_H     7.2335     0.5847  12.372  < 2e-16 ***
## TEAM_BATTING_2B   -1.1087     0.4803  -2.308 0.021085 *  
## TEAM_BATTING_3B    1.4655     0.5173   2.833 0.004661 ** 
## TEAM_BATTING_HR    4.1734     0.6517   6.404 1.92e-10 ***
## TEAM_BATTING_BB    1.2451     0.7140   1.744 0.081354 .  
## TEAM_BATTING_SO   -2.2638     0.6791  -3.334 0.000874 ***
## TEAM_BASERUN_SB    2.4307     0.4148   5.860 5.48e-09 ***
## TEAM_PITCHING_H   -1.2510     0.5730  -2.183 0.029157 *  
## TEAM_PITCHING_BB   0.3855     0.6566   0.587 0.557159    
## TEAM_PITCHING_SO   1.4885     0.5400   2.757 0.005900 ** 
## TEAM_FIELDING_E   -4.6789     0.6299  -7.428 1.69e-13 ***
## TEAM_FIELDING_DP  -2.9914     0.3610  -8.286 2.25e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 13.12 on 1807 degrees of freedom
## Multiple R-squared:  0.3246, Adjusted R-squared:  0.3201 
## F-statistic: 72.37 on 12 and 1807 DF,  p-value: < 2.2e-16

plot_vif(m2, "m2")

m3 <- update(m2, .~. - TEAM_BATTING_BB)

summary(m3)

## 
## Call:
## lm(formula = TARGET_WINS ~ TEAM_BATTING_H + TEAM_BATTING_2B + 
##     TEAM_BATTING_3B + TEAM_BATTING_HR + TEAM_BATTING_SO + TEAM_BASERUN_SB + 
##     TEAM_PITCHING_H + TEAM_PITCHING_BB + TEAM_PITCHING_SO + TEAM_FIELDING_E + 
##     TEAM_FIELDING_DP, data = training_data)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -51.661  -8.639   0.186   8.422  58.885 
## 
## Coefficients:
##                  Estimate Std. Error t value Pr(>|t|)    
## (Intercept)       80.7368     0.3077 262.424  < 2e-16 ***
## TEAM_BATTING_H     7.1461     0.5828  12.261  < 2e-16 ***
## TEAM_BATTING_2B   -1.0608     0.4798  -2.211  0.02716 *  
## TEAM_BATTING_3B    1.4697     0.5176   2.840  0.00457 ** 
## TEAM_BATTING_HR    4.3954     0.6395   6.874 8.59e-12 ***
## TEAM_BATTING_SO   -2.1955     0.6783  -3.237  0.00123 ** 
## TEAM_BASERUN_SB    2.5176     0.4120   6.110 1.21e-09 ***
## TEAM_PITCHING_H   -1.5906     0.5392  -2.950  0.00322 ** 
## TEAM_PITCHING_BB   1.2462     0.4333   2.876  0.00407 ** 
## TEAM_PITCHING_SO   1.0264     0.4708   2.180  0.02936 *  
## TEAM_FIELDING_E   -5.0702     0.5889  -8.610  < 2e-16 ***
## TEAM_FIELDING_DP  -2.9171     0.3587  -8.133 7.72e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 13.13 on 1808 degrees of freedom
## Multiple R-squared:  0.3235, Adjusted R-squared:  0.3193 
## F-statistic: 78.58 on 11 and 1808 DF,  p-value: < 2.2e-16

plot_vif(m3, "m3")

2. Backwards Elimination

Backwards elimination can be accomplished through evaluating the adjusted \(R^2\) value or the p-value. If the main goal is to improve prediction accuracy then the adjusted \(R^2\) should be used. If it is more important to understand which variables have a statistically significant impact on the response variable or if a more simple model is desired (at the potential cost of predictive accuracy) than using the p-value approach is preferred. In this case our goal is build the a model with the highest predictive accuracy (link reference).

Using an adjusted \(r^2\) approach to backwards elimination, after fitting a model with all predictors we then re-fit the model with one variable eliminated and then re-evaluate adjusted \(R^2\). We repeat this process for all variables and the one that increased adjusted \(R^2\) the most or decreased adjusted \(R^2\) the least is eliminated. The process is repeated until adjusted \(R^2\) doe not improve anymore.

A function will be used to loop through the data and evaluate a model without each variable - Model M2 will be used

m3$model

##      TARGET_WINS TEAM_BATTING_H TEAM_BATTING_2B TEAM_BATTING_3B TEAM_BATTING_HR
## 1             83   -0.465935102    -0.824076301     -0.75507284     0.477687345
## 2             88    1.264750518    -0.527464244      1.89257006    -0.897459401
## 3            105    1.319260301     1.654753036      0.33928622    -0.102193813
## 4             83   -0.513631162     0.595424259     -0.93158237     0.245734882
## 5             62   -0.908827091    -0.739329999     -0.47265760     1.272952934
## 6             60   -0.029856835     0.277625626     -0.86097856     0.278870948
## 7             69    0.181368575    -0.082546158     -0.04903473    -0.549530706
## 8             75   -1.058728995    -0.951195754      0.83351290    -1.344796295
## 9             58   -0.588582114    -0.357971640     -0.26084617    -1.063139732
## 10            68    0.358525371     1.358140978     -0.54326141     0.543959478
## 11            87   -0.758925187    -1.035942057      0.40989003    -1.245388096
## 12            91    0.235878358     0.786103439      0.55109766    -1.295092196
## 13            82    0.338084202    -0.463904517      1.75136244    -0.698643004
## 14            79   -0.057111727    -0.357971640     -0.26084617    -0.450122508
## 15            86    0.344897925    -0.485091093     -0.75507284     0.494255378
## 16           113    3.233916439     0.404745079      2.49270245    -1.162547931
## 17            73    0.283574419     0.341185353     -0.43735569     0.494255378
## 18            74    0.706025239    -1.565606445     -0.75507284    -1.394500394
## 19            67   -0.166131294     1.082715496     -0.61386522     0.659935709
## 20            55   -0.827062416     0.553051108     -0.64916712     0.427983246
## 21            67   -0.738484018     0.743730288     -1.00218618     0.858752107
## 22            92   -1.351719080    -1.311367538     -0.93158237     0.245734882
## 23            95    0.597005673     0.616610835     -0.47265760     0.676503743
## 24            88    0.126858792     0.023386720     -0.79037475     1.239816868
## 25            91   -0.023043112     0.913222892     -0.54326141     0.427983246
## 26            72    1.516858266     1.358140978      0.19807860     0.113190617
## 27           116    1.142103505     1.464073856     -0.61386522     1.156976702
## 28            78   -1.126866224    -1.057128632     -1.10809189     0.262302915
## 29            99   -0.377356704    -0.442717942     -1.07278999     0.461119312
## 30           105    1.257936795     0.002200144      2.52800435    -0.996867600
## 31           109   -0.057111727    -0.993568905     -0.54326141     2.333307052
## 32            76    0.583378227     0.574237684      0.26868241    -0.532962673
## 33            84   -0.309219475    -0.273225337     -0.40205379     1.322657033
## 34            77   -0.295592029    -1.247807812      2.28089102    -1.195683997
## 35            77    0.079162731     0.447118230     -0.33144998     0.229166849
## 36           109   -0.459121379    -0.230852186      1.15123005    -1.046571699
## 37            49    2.211858003     0.849663166      0.09217289    -1.543612692
## 38            77   -2.067159986    -2.222390286      0.90411671    -1.394500394
## 39            92    0.930878095     0.298812202      0.33928622     0.378279147
## 40            93   -0.847503585    -0.018986431      0.30398432    -0.963731534
## 41            84   -0.861131030    -0.781703150      0.23338051    -1.030003666
## 42            87    0.617446841    -0.188479035      1.15123005    -0.715211037
## 43           101   -0.390984150    -1.120688359      0.09217289     1.405497199
## 44            81   -0.193386185    -0.400344791     -0.50795950     0.179462750
## 45            80   -0.309219475    -0.124919309     -0.33144998     0.179462750
## 46            84   -0.145690125    -0.167292460     -0.57856331     0.196030783
## 47            98    0.365339094     0.235252475     -0.54326141     1.123840636
## 48           100    0.774162468     1.400514129      0.65700337     0.328575048
## 49            74    0.072349008    -0.273225337     -0.36675188     1.107272603
## 50            75   -0.718042849    -1.396113841     -0.08433664     1.355793099
## 51            87   -0.356915535    -0.315598489     -0.96688427     0.146326683
## 52            90   -0.983778043    -1.141874934     -0.96688427     0.610231610
## 53            93   -0.186572462     0.319998777      0.48049385     1.057568504
## 54            62   -0.636278174    -0.357971640      1.53955100    -1.013435633
## 55            86   -0.097994064    -0.400344791     -0.71977094     1.090704570
## 56            81    0.474358660     0.319998777      0.33928622    -0.864323335
## 57            86    0.065535285     0.468304806     -0.19024236     1.123840636
## 58            85   -0.724856572    -0.294411913     -0.43735569     0.245734882
## 59            75   -1.235885791    -1.226621236      1.08062624    -1.460772527
## 60            92    0.276760696     0.892036317     -1.14339380     2.333307052
## 61            80    0.767348745    -0.760516575      0.58639956    -0.930595468
## 62            59   -0.752111464    -0.633397121     -0.71977094     0.080054551
## 63            83    0.964946710     0.595424259     -0.54326141     2.316739019
## 64           100    0.406221431    -0.442717942      0.37458813    -1.394500394
## 65            73    0.528868443     0.404745079      0.79821099     0.278870948
## 66           102    0.283574419    -0.209665611     -0.75507284     0.659935709
## 67            94   -0.166131294     0.870849741     -1.24929951     1.637449662
## 68            67    0.140486237     0.192879324     -0.11963855     0.543959478
## 69            85    0.876368312     0.722543712      0.16277670     0.411415213
## 70           104    0.133672515     0.065759871     -0.29614807     1.885970158
## 71            85    0.862740866     0.955596043      0.83351290     0.278870948
## 72            67   -0.990591766    -0.548650819     -0.68446903     0.394847180
## 73            45   -0.472748825     0.531864533      0.16277670    -0.715211037
## 74           100    1.700828784     0.341185353      1.15123005    -1.096275799
## 75            66   -0.922454537    -1.480860143     -0.61386522    -0.168465945
## 76            57   -1.712846394    -0.675770273     -0.71977094    -0.102193813
## 77            69    1.646319001     0.510677957      2.17498530    -1.079707765
## 78            89   -0.431866487     0.383558504     -0.08433664    -0.814619236
## 79            79    0.113231346    -0.188479035      0.93941861    -1.427636460
## 80            96    1.591809218     1.760685913      0.19807860     0.129758650
## 81            67    0.051907840     0.828476590     -0.75507284     0.842184073
## 82            78   -1.113238778    -0.739329999     -1.24929951     0.245734882
## 83           108    0.712838962     0.256439051      0.76290909    -0.483258574
## 84            73    0.849113420     1.506447007      0.83351290    -0.715211037
## 85            70   -0.963336874    -0.506277668     -0.71977094    -0.516394640
## 86            79    0.276760696     1.506447007     -1.03748808     2.035082456
## 87            95    1.346515193     2.756454963     -0.54326141     2.300170986
## 88            82    0.815044806     1.040342345      0.58639956    -0.317578243
## 89            93    1.108034891     0.955596043      0.55109766    -0.483258574
## 90           105   -0.500003716    -0.908822603     -0.71977094     1.488337364
## 91            89   -0.166131294     0.319998777     -0.36675188     0.229166849
## 92           114    1.203427012     1.908991942      0.44519194     0.444551279
## 93            82   -0.493189993    -0.718143424     -0.93158237     0.659935709
## 94            71   -0.697601681    -1.268994387      0.58639956    -1.361364328
## 95            95    0.167741129     0.425931655      0.44519194    -0.665506938
## 96            71   -0.990591766    -0.548650819     -1.17869570    -0.350714309
## 97            82   -0.738484018     0.680170561     -1.31990333     0.792479974
## 98            79   -0.990591766    -0.739329999     -0.89628046     0.709639809
## 99            70   -0.527258608     0.298812202     -0.68446903     0.312007014
## 100           54   -0.602209560     0.764916863     -0.68446903     0.245734882
## 101           77   -0.990591766    -0.718143424      1.43364529    -1.228820063
## 102           73    0.174554852     0.828476590     -0.29614807     0.742775875
## 103           89    0.508427275     0.574237684      0.19807860     1.388929166
## 104           84    1.196613289     0.425931655      0.69230528    -0.914027435
## 105           88   -0.854317308    -1.205434661     -0.01373283    -1.295092196
## 106           93    0.951319264     0.595424259      1.04532433    -1.195683997
## 107           33    1.537299434    -1.141874934      1.71606053    -1.444204494
## 108           72   -1.263140682    -0.569837395     -0.61386522    -0.963731534
## 109           76   -0.656719343    -1.544419869      1.46894719    -1.295092196
## 110           68    1.189799566     0.150506173      0.12747479    -0.996867600
## 111          100    0.092790177    -1.099501783      0.30398432     0.626799643
## 112           81   -0.179758739     0.086946446      0.02156908    -0.416986442
## 113           43   -1.440297478    -1.078315208      0.76290909    -1.295092196
## 114           63    0.726466408    -0.294411913      0.30398432    -0.996867600
## 115           94    1.537299434     1.781872489      0.33928622     0.974728338
## 116           97    1.366956362     1.760685913      1.50424910    -0.781483170
## 117           93    0.058721563    -0.209665611     -0.33144998    -0.599234806
## 118           72   -0.949709428    -0.146105884     -0.57856331    -1.195683997
## 119           93   -0.275150860     0.531864533     -1.17869570     1.256384901
## 120           87    1.264750518     0.870849741      1.25713576    -1.063139732
## 121           83   -0.513631162    -0.527464244      0.93941861    -1.212252030
## 122           83    0.215437190    -0.739329999     -0.50795950     0.278870948
## 123           87   -0.833876139    -0.061359582     -0.01373283    -1.046571699
## 124           90    0.494799829    -0.336785064     -0.04903473    -0.069057747
## 125           68   -0.431866487     0.680170561     -1.00218618     0.825616040
## 126           87   -0.411425318     0.362371928     -1.03748808     0.229166849
## 127           97    0.426662600    -0.506277668     -0.40205379    -0.201602011
## 128           96   -1.038287826    -0.103732733      0.02156908    -0.914027435
## 129           91   -0.404611595    -1.438486992     -0.64916712     0.278870948
## 130           71   -1.419856309    -1.798658776     -0.22554426    -1.477340560
## 131           43   -1.072356441    -0.845262877     -0.57856331     0.891888173
## 132           76   -0.288778306     1.231021525     -0.11963855     1.074136537
## 133          110   -1.160934839    -0.548650819      0.30398432    -1.295092196
## 134           76    0.038280394    -0.485091093     -0.11963855     1.521473430
## 135           84   -0.111621510     0.192879324     -0.08433664     0.328575048
## 136          103    0.440290046     0.595424259     -0.79037475     1.140408669
## 137           29   -2.366963794    -3.641890847      0.30398432    -1.643020891
## 138          107    0.671956625     0.425931655      2.73981579    -0.715211037
## 139           86    0.208623467    -0.675770273      1.78666434    -1.328228262
## 140          102   -0.527258608    -0.951195754     -1.07278999     1.024432437
## 141           89   -0.404611595    -1.163061510     -0.50795950     0.046918485
## 142           95    0.140486237     0.701357137     -1.03748808     1.322657033
## 143          101    0.174554852    -0.591023970      1.71606053    -1.179115964
## 144          107    1.544113157     0.553051108      1.53955100    -0.532962673
## 145           97    0.944505541     1.824245640     -1.21399761     1.836266059
## 146           72   -0.397797872     0.913222892     -0.47265760    -0.400418409
## 147           71    0.542495889     0.065759871     -1.00218618     0.146326683
## 148           84    1.026270216     0.616610835     -0.36675188     0.958160305
## 149           79   -1.058728995    -0.569837395     -0.93158237     1.156976702
## 150           66   -0.493189993    -0.421531366     -0.47265760     0.179462750
## 151           81   -1.154121116    -1.798658776     -1.07278999     0.925024239
## 152           75    0.140486237    -1.692725898      0.72760718    -1.079707765
## 153          102   -0.002601944     1.972551669     -1.17869570     1.654017695
## 154           89    0.385780262    -0.209665611      0.12747479    -0.532962673
## 155           80    0.317643033     1.061528921     -0.61386522     1.637449662
## 156           75   -0.275150860     0.044573295     -0.71977094     0.394847180
## 157           68    0.419848877     1.908991942     -0.75507284     1.703721794
## 158           90   -0.827062416    -0.357971640     -0.68446903     0.676503743
## 159           69    0.419848877     0.658983986     -0.93158237     0.759343908
## 160           94   -0.493189993    -0.124919309     -0.29614807    -0.383850376
## 161          102   -0.057111727    -0.633397121     -0.75507284     1.041000471
## 162          104    1.101221168     2.142044273      0.83351290    -0.085625780
## 163           81   -0.384170427     1.824245640     -1.28460142     1.256384901
## 164           96   -0.043484281    -0.548650819      1.11592814    -1.096275799
## 165           84    0.392593985     0.489491382     -0.71977094     1.620881629
## 166           61   -0.813434970    -0.506277668     -0.29614807    -0.135329879
## 167           82   -0.425052764     0.722543712     -1.00218618     1.239816868
## 168           70   -0.561327222    -0.273225337     -0.57856331     0.229166849
## 169           58   -0.724856572    -1.417300416     -0.54326141     0.461119312
## 170           82   -0.343288089    -0.866449452     -0.57856331     0.726207842
## 171          104    1.591809218     0.531864533      1.50424910    -0.996867600
## 172           98    0.099603900    -0.379158215     -0.96688427     1.521473430
## 173           53   -0.425052764    -1.311367538      1.01002242    -1.328228262
## 174           64    0.426662600     1.400514129      0.62170147    -0.897459401
## 175           74   -0.377356704    -0.760516575      0.30398432    -1.079707765
## 176           88   -0.029856835     0.595424259      0.05687098    -0.052489714
## 177           81    0.038280394    -0.082546158      1.18653195    -0.914027435
## 178           92   -0.397797872    -1.417300416      1.85726815    -1.377932361
## 179           92    1.728083676     0.235252475      2.28089102    -0.284442177
## 180           86   -0.520444885    -1.544419869     -0.33144998    -1.361364328
## 181          105    2.027887484     0.171692749      0.76290909    -1.311660229
## 182           84    0.733280131    -0.463904517      1.18653195    -0.599234806
## 183           88    0.556123335     1.167461798     -1.07278999     1.769993927
## 184           59    0.528868443    -0.082546158      2.49270245    -0.996867600
## 185           74    1.966563978     2.459842906      1.64545672     0.278870948
## 186           68    0.562937058     0.489491382     -0.75507284    -0.035921681
## 187           77   -0.179758739     0.298812202     -0.36675188     0.013782419
## 188           85   -1.085983887    -1.184248085      1.04532433    -1.328228262
## 189           92   -0.370542981     0.002200144     -0.15494045     0.510823412
## 190           85   -0.431866487    -0.675770273     -0.54326141    -0.251306111
## 191           32   -0.023043112    -0.866449452      1.15123005    -1.212252030
## 192           79    0.767348745     1.527633582      1.39834338    -0.218170045
## 193           77    0.113231346     0.044573295     -0.64916712     0.162894717
## 194           86   -1.310836743    -0.612210546      0.51579575    -1.145979898
## 195          102    0.740093854     1.803059064     -0.96688427     1.107272603
## 196           85   -0.390984150    -0.040173007      0.16277670    -0.035921681
## 197           45   -2.067159986    -1.756285625      0.69230528    -1.593316791
## 198           89    0.365339094    -0.230852186      1.99847577    -0.632370872
## 199           98   -0.588582114    -0.379158215     -0.61386522     1.471769331
## 200           60   -0.949709428    -0.908822603     -1.03748808     0.212598816
## 201           81    0.024652948     0.383558504     -0.79037475     0.245734882
## 202           89   -0.036670558     0.553051108      1.92787196    -1.046571699
## 203           73   -0.329660643    -0.442717942     -0.47265760    -0.251306111
## 204           71    0.310829310     0.553051108     -0.29614807     0.792479974
## 205           68   -0.316033198     0.531864533     -1.10809189     1.604313596
## 206           54   -0.350101812     0.934409468      0.93941861    -1.162547931
## 207           88    0.590191950     1.379327554      1.50424910    -1.261956130
## 208           79   -0.152503848     0.383558504     -0.71977094     0.146326683
## 209           94    0.924064372     0.277625626      0.76290909    -1.427636460
## 210           87    1.728083676     2.163230848      0.09217289    -0.002785614
## 211           90   -0.370542981     0.531864533     -0.64916712     1.206680802
## 212           96    0.154113683     1.506447007     -0.57856331     1.355793099
## 213           74   -0.288778306     1.209834950     -1.00218618     0.560527511
## 214           70   -0.888385922    -0.463904517     -1.17869570     1.504905397
## 215           97   -0.588582114    -0.294411913     -0.26084617    -0.433554475
## 216           56    0.120045069     0.256439051     -0.43735569    -0.383850376
## 217           61   -0.077552896    -0.167292460      0.76290909    -1.079707765
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## 227           73   -0.084366619     0.425931655     -0.96688427     0.626799643
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## 230           93   -0.404611595    -0.866449452      1.46894719    -1.278524163
## 231           82   -1.113238778    -0.421531366     -0.29614807     0.063486518
## 232           98    0.099603900     0.574237684     -0.33144998     1.190112768
## 233           90   -0.745297741    -1.184248085     -0.61386522     1.090704570
## 234           44   -0.833876139    -0.972382330      1.36304148    -1.145979898
## 235           85   -0.343288089     0.065759871      0.09217289     0.477687345
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## 244           86   -0.343288089     0.044573295     -0.96688427     1.604313596
## 245           64   -1.453924924    -2.349509739      1.08062624    -1.278524163
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## 249           65    0.106417623    -1.035942057      1.22183386    -1.295092196
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## 251           76   -0.213827354    -1.502046718      1.99847577    -0.764915137
## 252           77   -0.602209560    -0.824076301     -0.08433664    -1.527044659
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## 254           87    2.109652159    -1.374927265      1.11592814    -1.460772527
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## 257           76    0.930878095     0.764916863      0.05687098     0.378279147
## 258          108   -0.050298004     0.425931655     -0.86097856     0.809048007
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## 260           94   -0.459121379    -1.671539322      0.65700337    -1.295092196
## 261           99   -0.513631162    -0.209665611     -0.26084617     0.046918485
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## 263           94   -0.615837006    -0.696956848     -0.54326141     0.245734882
## 264           87   -0.152503848    -0.146105884     -0.89628046     1.637449662
## 265           71   -0.479562547     0.383558504     -1.10809189     0.245734882
## 266           92   -0.213827354     0.002200144      1.46894719    -1.162547931
## 267           84   -1.290395574    -0.845262877      0.05687098    -1.411068427
## 268           67    0.106417623     0.002200144     -0.29614807     1.123840636
## 269           63    0.229064635     0.807290014      0.58639956    -0.831187269
## 270           83   -0.445493933     1.125088647     -1.07278999     0.742775875
## 271           79    0.344897925     1.315767827     -1.56701666     1.902538191
## 272           88   -0.370542981     0.044573295     -0.22554426    -0.450122508
## 273           70   -1.617454274    -1.925778229      0.58639956    -1.195683997
## 274          101    1.401024976     1.485260431      0.83351290     0.179462750
## 275           83    1.748524845     0.468304806      1.29243767    -0.698643004
## 276           81   -0.792993801     0.553051108     -0.89628046     0.013782419
## 277          123    0.678770347    -0.506277668      2.24558911    -1.261956130
## 278           91   -0.166131294    -0.548650819     -0.57856331     1.422065232
## 279           96   -0.970150597    -2.137643984      0.93941861    -1.311660229
## 280           62    0.365339094     0.531864533      0.37458813    -0.532962673
## 281           85    0.794603637     0.913222892     -0.79037475     1.587745563
## 282           72   -0.936081982    -0.951195754     -0.50795950    -0.731779070
## 283           64   -1.126866224    -1.523233294     -0.54326141     0.461119312
## 284           91   -1.092797609    -0.527464244     -0.26084617     0.527391445
## 285           88   -0.077552896    -1.438486992      0.09217289    -1.278524163
## 286           85    0.147299960     0.086946446      0.44519194    -0.665506938
## 287           71    0.072349008     0.425931655     -1.00218618     0.361711114
## 288           50   -1.821865961    -0.802889726     -1.00218618     0.129758650
## 289           49   -0.316033198     0.235252475     -0.86097856    -0.930595468
## 290           85    0.753721300     2.142044273     -0.82567665     1.604313596
## 291           61   -1.011032934    -1.777472200      0.58639956    -1.394500394
## 292           92   -0.595395837    -0.040173007     -0.08433664    -0.731779070
## 293           97    0.344897925     0.108133022     -0.82567665     1.057568504
## 294           84   -0.820248693    -0.696956848     -0.47265760    -0.400418409
## 295           92   -0.404611595     0.658983986     -0.96688427     0.610231610
## 296           60   -1.569758213    -0.951195754     -1.00218618    -0.002785614
## 297           88   -0.779366356    -0.506277668     -0.86097856     0.312007014
## 298           70   -0.159317571     0.658983986     -0.93158237     0.096622584
## 299           97    0.154113683     0.383558504      0.12747479     1.604313596
## 300           71    0.147299960    -0.866449452      0.05687098    -1.361364328
## 301           85   -0.649905620    -0.146105884     -1.14339380     1.007864404
## 302           86   -0.145690125     1.781872489     -1.00218618     1.107272603
## 303           86    0.249505804     0.892036317     -0.47265760     0.427983246
## 304           74    1.292005409     0.722543712      0.65700337    -0.930595468
## 305           96    0.665142902     0.658983986      1.43364529    -1.179115964
## 306           94    0.460731214     0.743730288      1.01002242    -0.350714309
## 307           88    0.617446841    -0.061359582     -0.33144998     0.245734882
## 308           87    0.147299960     0.637797410     -0.29614807     0.974728338
## 309           56   -0.683974235    -0.357971640     -0.82567665     0.394847180
## 310           87   -0.758925187    -0.633397121      0.97472052    -1.096275799
## 311           83    0.004211779    -0.103732733     -0.47265760     1.024432437
## 312           74   -0.486376270    -0.696956848      0.58639956    -1.212252030
## 313           98   -0.316033198     0.171692749     -0.26084617    -1.228820063
## 314           92    0.665142902     1.379327554      0.97472052    -0.168465945
## 315           70   -0.561327222    -0.675770273     -0.61386522    -0.052489714
## 316           53   -0.718042849    -1.141874934     -0.11963855     0.080054551
## 317           54   -1.535689599    -1.247807812     -0.82567665    -1.444204494
## 318          100   -0.581768391    -0.315598489      0.30398432    -1.030003666
## 319           75   -0.077552896     0.362371928     -0.86097856     0.411415213
## 320           94    0.181368575     1.294581252      0.30398432     0.113190617
## 321           96    0.304015587     0.489491382     -0.96688427     1.620881629
## 322           72   -0.895199645    -0.061359582      0.69230528    -1.444204494
## 323           99    1.101221168     0.828476590      0.86881480    -0.897459401
## 324           78   -0.104807787     1.442887280     -0.47265760     1.372361132
## 325           78   -0.057111727    -0.463904517      0.12747479    -0.731779070
## 326           59   -2.046718817    -1.862218502      0.26868241    -1.477340560
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## 328           76   -0.445493933     0.595424259     -0.86097856     0.361711114
## 329          106    0.733280131     1.294581252      0.40989003     1.422065232
## 330           77   -1.249513236    -0.951195754     -0.86097856     0.825616040
## 331          103   -0.956523151    -1.502046718      1.68075863    -1.212252030
## 332           80    0.331270479     0.108133022     -0.11963855     0.510823412
## 333           99    1.803034628     0.637797410      0.93941861    -0.698643004
## 334           88   -0.241082246    -0.146105884      0.23338051    -1.112843832
## 335           78   -1.120052501    -1.311367538     -1.00218618    -0.284442177
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## 337           85    0.515240998     1.294581252     -0.68446903     1.670585728
## 338           96    0.385780262    -0.357971640      0.62170147    -1.460772527
## 339           71   -0.677160512    -0.485091093     -0.50795950     1.156976702
## 340           83   -0.172945016     1.082715496     -0.89628046     2.051650489
## 341           88    1.094407445     0.192879324      2.21028721    -1.013435633
## 342          101   -0.159317571     0.086946446      0.12747479    -0.201602011
## 343           79   -0.445493933     0.425931655     -0.93158237     0.527391445
## 344           87    1.203427012     0.341185353      1.82196625    -1.377932361
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## 346           89   -0.241082246     0.108133022     -0.40205379     0.146326683
## 347           86    0.740093854     1.103902072     -1.07278999     0.394847180
## 348           76   -0.568140945    -0.061359582     -0.96688427     0.378279147
## 349           74   -0.384170427     1.146275223     -1.49641285     0.825616040
## 350           89    0.910436926     0.870849741      0.33928622     0.444551279
## 351           75   -0.029856835    -0.082546158     -0.33144998    -0.764915137
## 352           78    0.126858792     0.086946446     -0.61386522     0.693071776
## 353           89   -1.304023020    -1.078315208     -1.00218618     1.041000471
## 354           65   -0.636278174     0.468304806     -1.03748808     1.041000471
## 355           97    2.954553800     0.319998777     -0.19024236    -1.344796295
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## 357           89   -0.316033198     0.044573295     -0.68446903     0.809048007
## 358           48    1.312446578    -1.035942057      1.89257006    -0.864323335
## 359           66   -0.520444885     0.044573295     -0.93158237     0.610231610
## 360           87   -1.331277911    -0.633397121     -0.68446903    -0.400418409
## 361           92    0.910436926     0.870849741     -0.29614807     0.146326683
## 362           52   -1.242699513    -1.544419869      0.83351290    -1.411068427
## 363           80   -0.418239041     0.086946446     -0.68446903     0.328575048
## 364           72   -0.438680210    -0.802889726     -0.71977094     0.212598816
## 365           77   -0.629464451    -1.629166171      0.62170147    -1.377932361
## 366           59   -1.051915272    -0.908822603     -1.10809189     0.278870948
## 367           98   -0.016229389     0.701357137     -0.86097856     1.289520967
## 368          101    0.092790177     0.849663166     -1.24929951     2.366443118
## 369           88    0.072349008     0.764916863      0.33928622    -0.052489714
## 370           96    0.038280394    -0.357971640      0.40989003    -1.179115964
## 371           76    0.263133250    -0.591023970      1.68075863    -1.212252030
## 372           72   -0.472748825    -0.061359582     -0.36675188    -0.632370872
## 373           78    0.576564504     0.680170561     -1.03748808     1.239816868
## 374          103    0.815044806     0.108133022      0.65700337     1.123840636
## 375          106    0.787789914    -1.247807812      1.46894719    -0.980299567
## 376           75   -0.220641077     0.086946446      1.08062624    -0.549530706
## 377           58   -0.990591766    -1.756285625      0.16277670    -1.377932361
## 378           72    1.067152553     0.150506173      1.08062624    -1.013435633
## 379           56    0.787789914     0.637797410      0.44519194    -0.201602011
## 380           69    0.753721300     1.570006734     -0.01373283    -0.234738078
## 381          101   -0.138876402     0.892036317     -0.93158237     1.355793099
## 382           83    0.385780262     0.997969194     -0.57856331     1.041000471
## 383          105    0.774162468     0.150506173      0.44519194    -0.764915137
## 384           68   -0.854317308    -0.718143424     -0.01373283    -1.162547931
## 385           68   -0.840689862    -0.654583697     -1.00218618     0.212598816
## 386          100    0.365339094     0.362371928     -0.93158237     0.941592272
## 387           87    0.855927143     0.319998777     -0.01373283    -0.069057747
## 388           91    1.510044543    -0.209665611      2.17498530    -1.112843832
## 389           87    0.092790177    -0.294411913      0.79821099     0.030350452
## 390           77   -0.275150860     0.023386720     -0.79037475     0.113190617
## 391           72    0.147299960    -0.040173007      1.64545672    -1.212252030
## 392           83   -1.024660380    -1.883405078      1.43364529    -1.311660229
## 393           98   -0.220641077     0.637797410     -0.71977094     0.593663577
## 394           66   -1.372160249    -1.247807812     -0.75507284     1.190112768
## 395           70    0.760535022     0.362371928     -1.10809189     1.554609496
## 396           93    0.242692081     0.637797410      0.65700337    -0.019353647
## 397           66   -0.063925450    -0.040173007     -0.82567665     0.129758650
## 398           66   -1.051915272    -1.777472200      0.02156908    -1.179115964
## 399          104    2.007446315     1.887805366     -0.22554426     0.809048007
## 400           68   -0.179758739    -0.548650819      0.16277670     0.742775875
## 401           94    1.046711385     1.252208101     -0.15494045     1.272952934
## 402           65   -0.125248956     0.701357137     -1.14339380     1.620881629
## 403           69   -0.159317571    -0.993568905      1.46894719    -1.030003666
## 404          100    0.460731214     1.040342345     -0.47265760     0.444551279
## 405           75    0.004211779     0.743730288     -1.00218618     1.587745563
## 406           65   -0.738484018    -0.294411913     -1.03748808    -0.035921681
## 407          100    0.099603900    -0.188479035      0.12747479     0.610231610
## 408           71   -1.304023020    -1.184248085     -0.64916712     1.090704570
## 409           77    2.900044017     0.065759871     -1.67292238    -1.510476626
## 410           99   -0.077552896     0.934409468     -0.68446903    -0.052489714
## 411           87    0.126858792    -1.078315208      1.82196625    -1.261956130
## 412           62   -1.481179815    -0.591023970     -0.19024236    -0.499826607
## 413           76   -0.677160512    -0.230852186      1.50424910    -1.228820063
## 414           64   -0.486376270    -0.485091093     -0.79037475     0.560527511
## 415           70   -1.092797609    -1.502046718     -0.89628046    -0.284442177
## 416           89    0.453917491     1.570006734     -0.61386522     0.626799643
## 417           87    0.317643033    -1.311367538      0.86881480    -1.328228262
## 418           96    0.031466671     1.294581252     -0.71977094     1.654017695
## 419           94   -0.370542981    -0.061359582      0.02156908    -0.350714309
## 420           71   -0.275150860    -0.760516575     -0.93158237     0.974728338
## 421           68   -0.418239041     0.404745079     -1.21399761     0.974728338
## 422           75    0.249505804     0.341185353     -0.11963855     0.411415213
## 423           87    0.617446841     0.722543712     -0.82567665     0.510823412
## 424           88    0.120045069    -0.400344791     -0.82567665     0.643367676
## 425           74   -0.881572199    -0.633397121     -0.64916712    -0.234738078
## 426           83   -0.792993801    -0.294411913     -0.40205379     0.229166849
## 427           84    1.612250386     1.252208101      2.45740054    -0.151897912
## 428           47    0.344897925     0.553051108      0.09217289    -0.980299567
## 429           98    0.699211516     0.277625626     -0.43735569     0.560527511
## 430           75   -0.288778306     0.404745079      0.37458813    -0.947163501
## 431           64    0.079162731    -0.018986431      0.72760718    -1.112843832
## 432          114    3.152151764     0.870849741      1.64545672    -0.731779070
## 433           64   -0.343288089    -0.654583697     -0.33144998    -0.433554475
## 434           98    1.251123072     4.599687034      1.61015482    -1.295092196
## 435           90    0.583378227     1.146275223      0.86881480    -0.483258574
## 436           68    0.413035154     1.675939611      0.19807860    -0.748347104
## 437           69   -0.404611595    -0.675770273      0.16277670     0.278870948
## 438          102    0.576564504     0.150506173     -0.22554426     1.007864404
## 439           94   -0.520444885     0.214065900     -0.40205379     0.113190617
## 440           87   -1.242699513    -0.781703150      0.58639956    -1.444204494
## 441           78   -0.295592029     0.913222892     -0.54326141     1.206680802
## 442           96    0.310829310    -0.082546158      0.09217289     0.527391445
## 443           79    0.297201864     0.404745079     -1.14339380     0.527391445
## 444           76   -0.779366356    -1.311367538      0.83351290    -1.261956130
## 445           98    0.194996021     0.489491382     -1.17869570     1.604313596
## 446          118    7.390287415     2.862387841      2.49270245    -1.046571699
## 447           77   -0.431866487    -0.018986431     -0.96688427     0.858752107
## 448          114    1.060338831     1.040342345     -0.86097856     1.786561960
## 449          110    0.181368575    -0.400344791      1.32773957    -0.715211037
## 450           96    0.085976454    -0.442717942     -0.93158237     0.196030783
## 451           55   -0.970150597    -1.629166171      0.79821099    -1.377932361
## 452           73   -0.670346789    -0.379158215     -0.29614807     0.162894717
## 453           95   -0.799807524    -1.353740689     -0.57856331     0.925024239
## 454           80   -0.234268523    -0.612210546     -1.35520523     0.527391445
## 455           92   -0.159317571    -0.718143424      0.37458813    -1.179115964
## 456           42   -1.924071805    -2.285950013     -0.08433664    -1.493908593
## 457           88    0.201809744    -1.374927265      0.19807860    -1.311660229
## 458           84   -0.683974235    -0.336785064     -0.40205379    -0.400418409
## 459           53    0.413035154     1.125088647      0.16277670    -0.996867600
## 460          106    0.133672515     1.188648374     -1.03748808     1.919106225
## 461          101    0.535682166     0.531864533      0.02156908     1.438633265
## 462           90    4.923719721     1.654753036      3.90477866    -0.798051203
## 463          100   -1.726473840    -1.650352747      0.02156908    -1.510476626
## 464           88    0.167741129     0.870849741     -0.71977094     1.123840636
## 465           49   -0.942895705    -0.972382330     -0.08433664     0.146326683
## 466           95    1.264750518     1.421700705      0.19807860     0.560527511
## 467           85    1.094407445     1.675939611      0.16277670     0.825616040
## 468           77    0.849113420     0.913222892     -0.47265760     1.074136537
## 469           85   -0.370542981     0.192879324      0.02156908    -0.118761846
## 470           91    0.515240998     2.014924820     -1.42580904     1.488337364
## 471           73   -0.861131030     0.383558504     -1.21399761    -0.251306111
## 472           73   -0.622650729    -1.057128632     -0.04903473    -0.648938905
## 473           70   -0.125248956     0.171692749     -0.86097856    -0.218170045
## 474           58    0.208623467     1.209834950      0.30398432     0.030350452
## 475           81   -0.370542981    -0.124919309     -0.82567665     0.444551279
## 476           45    0.399407708     0.298812202     -0.08433664    -0.052489714
## 477           74   -0.152503848    -0.082546158     -0.96688427     0.361711114
## 478           70   -0.922454537    -0.824076301     -0.29614807     0.891888173
## 479           92    0.167741129     1.464073856     -1.10809189     1.521473430
## 480           51   -1.419856309    -0.802889726      1.04532433    -1.311660229
## 481           67   -1.167748561    -0.951195754     -0.19024236    -0.914027435
## 482           92    0.924064372     1.675939611      1.39834338     0.345143081
## 483          113    4.187837647     2.163230848      4.75202439    -0.947163501
## 484           74   -0.077552896     0.849663166     -0.57856331     0.013782419
## 485           73   -1.433483755    -1.798658776      0.97472052    -1.328228262
## 486           75   -0.077552896     1.315767827     -0.61386522     0.891888173
## 487           77   -0.343288089     0.214065900     -1.03748808     0.129758650
## 488           71    0.276760696     0.595424259      0.26868241    -0.549530706
## 489           69   -0.820248693    -1.650352747      0.02156908    -1.460772527
## 490           92    0.235878358    -0.061359582      1.61015482    -0.764915137
## 491           72    0.549309612     0.553051108      0.65700337    -0.151897912
## 492           92    0.889995758     0.256439051      3.37525008    -0.996867600
## 493           99   -0.186572462    -0.696956848     -0.71977094     1.041000471
## 494           62   -1.290395574    -1.417300416     -1.10809189     0.345143081
## 495           86    0.869554589     1.930178518      0.30398432    -1.079707765
## 496           89    0.106417623    -0.252038762     -0.36675188     0.593663577
## 497           58   -1.229072068    -1.671539322     -0.08433664    -1.228820063
## 498           80   -0.602209560    -0.633397121     -0.96688427     0.809048007
## 499           93    0.269946973     1.040342345     -0.79037475     0.659935709
## 500           87    0.263133250     0.447118230     -0.75507284     0.312007014
## 501           88    0.562937058     1.400514129      0.09217289     0.891888173
## 502           65   -0.179758739     0.616610835      0.09217289    -1.046571699
## 503           81    0.787789914    -1.014755481      0.23338051    -0.135329879
## 504           58   -0.663533066    -1.141874934      0.37458813    -1.344796295
## 505          113    1.196613289     1.103902072      1.08062624     1.140408669
## 506           69   -1.065542718    -1.057128632     -0.57856331     0.394847180
## 507           72   -0.159317571    -0.018986431     -0.61386522     0.842184073
## 508           80   -0.574954668    -0.209665611     -1.00218618    -0.284442177
## 509           88   -1.147307393    -1.671539322     -0.79037475     0.146326683
## 510           82   -0.513631162    -1.290180963      2.10438149    -1.527044659
## 511           74   -0.574954668    -1.268994387     -0.22554426     0.146326683
## 512           66    0.181368575     0.637797410     -0.33144998     1.107272603
## 513           97    0.985387878    -0.040173007      0.05687098    -0.383850376
## 514           80   -0.895199645    -0.146105884     -1.00218618     0.196030783
## 515           81    3.118083150    -0.718143424      3.05753293    -1.510476626
## 516           82    1.830289519     1.103902072      2.66921197    -0.897459401
## 517           79    1.196613289     0.913222892      0.37458813    -0.466690541
## 518           97    0.447103769     0.828476590      1.01002242    -0.168465945
## 519           75   -1.378973972    -0.993568905     -1.28460142    -0.069057747
## 520           80   -0.302405752     0.362371928     -0.89628046     1.587745563
## 521           79   -1.331277911    -0.718143424     -0.50795950     0.096622584
## 522          101    1.271564241     0.764916863      1.68075863    -0.996867600
## 523           97    1.155730951     0.574237684      1.32773957    -1.261956130
## 524           61   -1.051915272    -0.485091093     -0.40205379     0.345143081
## 525           92    2.279995232     0.849663166      2.42209864    -0.963731534
## 526          103    1.516858266     0.595424259      0.72760718    -0.648938905
## 527           87    2.027887484     1.400514129      1.53955100    -1.427636460
## 528           94    0.120045069     0.214065900      0.55109766    -0.334146276
## 529           79   -1.024660380    -0.230852186     -0.11963855    -0.466690541
## 530           74   -0.922454537     0.468304806     -0.08433664    -0.069057747
## 531           99   -0.207013631     0.616610835     -0.47265760     0.958160305
## 532           78    0.481172383     0.531864533     -0.47265760     1.206680802
## 533           83   -0.390984150    -1.502046718      1.39834338    -1.361364328
## 534           99    1.496417097     1.654753036     -0.01373283     1.355793099
## 535           97    0.583378227     1.188648374     -0.15494045     0.941592272
## 536           61   -0.138876402    -0.930009179     -0.04903473    -1.278524163
## 537           83   -1.740101286    -1.565606445      0.51579575    -1.212252030
## 538           82   -0.500003716     0.298812202     -0.89628046     0.593663577
## 539           76   -0.050298004     1.527633582     -1.00218618     1.156976702
## 540           95   -0.786180078    -0.485091093     -1.07278999     0.013782419
## 541           87   -0.063925450    -0.845262877      0.05687098     0.245734882
## 542           86   -0.275150860    -1.184248085      1.29243767    -0.880891368
## 543           69   -0.404611595     0.955596043     -1.10809189     0.891888173
## 544           88    1.298819132     2.481029481      0.48049385    -0.185033978
## 545           98   -0.186572462    -0.188479035     -1.07278999     0.825616040
## 546          108   -0.452307656    -0.506277668      0.93941861    -1.394500394
## 547           66   -0.472748825    -1.607979596      0.58639956    -1.179115964
## 548          102    3.642739814     0.362371928     -0.57856331    -1.444204494
## 549           72    0.644701733     0.171692749      0.05687098    -0.880891368
## 550           72   -0.609023283    -0.273225337     -0.61386522    -0.102193813
## 551           68   -0.881572199    -0.146105884     -0.57856331     0.179462750
## 552           76   -0.908827091    -0.124919309     -1.17869570     0.560527511
## 553           67   -0.159317571    -0.845262877      0.93941861    -1.162547931
## 554           67   -1.229072068    -0.675770273     -0.71977094     0.394847180
## 555           85    2.327691292     1.315767827      2.03377768    -0.880891368
## 556           83   -2.264757950    -1.841031927     -0.75507284     0.162894717
## 557           82    1.142103505    -0.103732733      1.96317387    -0.980299567
## 558           56   -0.234268523    -1.459673567      0.76290909    -1.079707765
## 559           69    0.447103769    -0.209665611      0.69230528    -1.411068427
## 560           90    3.274798777     1.442887280      2.03377768     0.013782419
## 561           55    0.999015324     0.574237684      3.16343865    -0.450122508
## 562          105    5.257592144     0.870849741      1.75136244    -0.947163501
## 563          129    1.496417097     1.591193309      0.69230528    -1.510476626
## 564           64   -0.704415403     0.680170561     -0.79037475     0.196030783
## 565           76   -0.465935102     0.214065900     -0.64916712     0.212598816
## 566           55   -0.915640814    -0.209665611     -0.96688427    -0.035921681
## 567           89    0.106417623     0.150506173     -0.75507284     1.852834092
## 568           83    1.898426749    -0.379158215      2.42209864    -0.400418409
## 569           90   -0.425052764     0.192879324      0.19807860     0.245734882
## 570           56   -1.215444622    -1.968151380      0.69230528    -1.460772527
## 571           81   -0.813434970     0.298812202     -0.61386522    -0.052489714
## 572           86    0.583378227     1.209834950     -0.68446903     1.720289827
## 573           43   -1.058728995    -1.205434661      0.62170147    -1.411068427
## 574           36    1.394211253    -0.527464244     -0.04903473    -1.643020891
## 575          104    1.721269953    -1.565606445      1.01002242    -1.427636460
## 576           73    0.658329179     1.803059064     -1.14339380     2.432715250
## 577           98    1.203427012     1.654753036      1.75136244    -0.582666773
## 578          108    0.024652948    -0.315598489      0.23338051     0.676503743
## 579           93    0.419848877    -0.018986431     -0.08433664     0.162894717
## 580           77    0.201809744     1.167461798     -0.47265760     1.041000471
## 581           65    0.229064635     0.764916863     -0.64916712     0.875320140
## 582           70   -0.016229389     0.002200144     -1.17869570     0.908456206
## 583           66   -0.683974235    -1.396113841      1.78666434    -0.864323335
## 584           84    0.617446841     0.319998777      0.93941861    -0.383850376
## 585           85   -0.268337137    -0.824076301      1.85726815    -0.516394640
## 586           75   -0.220641077    -0.485091093      0.86881480    -1.013435633
## 587           86   -0.752111464    -0.718143424     -0.82567665     0.775911941
## 588           71   -0.902013368    -0.082546158     -0.47265760    -0.052489714
## 589           91   -0.431866487     0.192879324     -1.28460142     0.925024239
## 590           76    0.481172383     0.404745079      0.51579575    -0.798051203
## 591           62   -1.045101549    -1.417300416      0.62170147    -1.228820063
## 592          105    0.746907577     2.311536877     -0.43735569     0.891888173
## 593           76   -0.656719343    -0.718143424     -0.79037475    -0.466690541
## 594           97    0.154113683    -0.379158215     -0.50795950     1.223248835
## 595           67    0.133672515     1.336954403      0.51579575    -0.334146276
## 596           89    1.087593722     0.870849741      1.29243767    -1.129411865
## 597           92   -0.302405752    -0.718143424     -0.47265760     0.162894717
## 598           91    1.121662337     0.616610835      1.39834338    -0.483258574
## 599           98    1.891613026     0.531864533      1.39834338    -0.251306111
## 600           87    1.489603374     1.654753036      0.83351290    -0.615802839
## 601           86    0.849113420     0.807290014      0.26868241     0.013782419
## 602           91   -0.404611595     0.786103439     -1.21399761     1.206680802
## 603           77   -0.459121379     0.341185353     -0.61386522     0.477687345
## 604           54   -1.195003453    -1.544419869      0.30398432    -1.493908593
## 605           75   -0.568140945    -0.527464244     -1.10809189     0.096622584
## 606           90   -0.350101812     0.849663166     -0.40205379    -0.002785614
## 607           69   -0.097994064     0.044573295     -0.36675188     0.394847180
## 608           83   -1.597013105    -1.014755481     -0.54326141    -0.201602011
## 609           95    0.058721563    -1.205434661      3.23404246    -1.096275799
## 610           59    0.481172383    -0.379158215      0.65700337    -1.411068427
## 611           75   -0.527258608    -0.781703150      1.15123005    -1.377932361
## 612           83    0.542495889     0.235252475     -1.03748808     0.676503743
## 613           82   -0.166131294     1.188648374     -0.93158237     0.494255378
## 614           98   -0.213827354    -0.230852186     -0.50795950     0.891888173
## 615           90   -0.500003716    -0.548650819     -0.79037475     0.842184073
## 616           74   -0.479562547    -0.252038762     -0.54326141     0.759343908
## 617           62    0.801417360     0.447118230     -0.04903473    -0.317578243
## 618           92   -0.036670558     0.955596043     -0.93158237     0.925024239
## 619           80   -0.268337137     0.298812202     -0.47265760     0.494255378
## 620           95    0.876368312     1.485260431      0.26868241    -0.433554475
## 621           68   -0.268337137     0.108133022     -0.75507284     0.510823412
## 622           69   -0.418239041     1.019155770     -0.75507284     0.510823412
## 623           85   -0.472748825    -0.336785064     -0.11963855    -0.218170045
## 624          113    1.189799566     1.548820158     -1.03748808     2.217330820
## 625           79   -1.304023020    -0.506277668     -0.26084617    -0.682074971
## 626           78   -0.404611595     0.341185353     -0.19024236     0.196030783
## 627           95    0.999015324     0.489491382      1.29243767     0.080054551
## 628           83   -0.152503848     0.722543712     -0.82567665     0.809048007
## 629           65   -0.295592029     0.658983986     -1.14339380     1.388929166
## 630           94   -0.016229389    -0.273225337     -0.43735569     0.775911941
## 631          108    1.244309349     0.277625626      1.57485291    -1.013435633
## 632           67   -1.229072068    -1.353740689      0.65700337    -1.377932361
## 633           78   -0.568140945     1.188648374     -1.21399761     1.156976702
## 634           72   -0.915640814    -0.930009179     -0.75507284     0.361711114
## 635           67    0.399407708     0.828476590      0.51579575    -0.731779070
## 636           45   -1.426670032    -1.290180963     -0.54326141    -0.864323335
## 637           63   -0.132062679     0.553051108     -0.43735569     0.196030783
## 638          102    0.249505804    -0.273225337      1.71606053    -1.212252030
## 639           97   -0.956523151    -1.014755481     -0.82567665    -0.350714309
## 640           95   -0.786180078    -0.866449452     -0.61386522     0.427983246
## 641           88    1.421466145     0.934409468      1.71606053    -0.947163501
## 642           98    0.229064635    -0.633397121      0.05687098    -1.261956130
## 643           86    0.256319527     1.400514129     -1.31990333     1.471769331
## 644           84   -0.063925450    -0.124919309     -1.17869570     1.919106225
## 645           86   -0.615837006     0.192879324     -0.26084617    -1.179115964
## 646           80   -0.029856835    -0.400344791      0.40989003    -0.334146276
## 647          101    0.487986106    -1.671539322      3.09283484    -0.748347104
## 648           72   -1.113238778    -0.824076301     -1.24929951    -0.185033978
## 649          108   -1.917258082     2.057297971     -1.95533762    -1.643020891
## 650           82    1.475975928     1.442887280      1.04532433     0.262302915
## 651           50   -0.029856835     0.701357137      0.44519194    -0.914027435
## 652           67    0.338084202     1.019155770     -0.54326141     0.958160305
## 653           83   -0.472748825     0.574237684     -0.93158237     0.444551279
## 654           88   -0.029856835     1.209834950     -0.61386522     1.024432437
## 655          101    0.815044806    -0.824076301      2.35149483    -0.715211037
## 656           63    0.024652948     1.442887280     -0.89628046     0.974728338
## 657           59    0.651515456     0.722543712      0.16277670     0.030350452
## 658           75   -0.861131030    -0.061359582     -0.29614807     0.693071776
## 659           83    0.631074287     1.845432215     -1.21399761     2.399579184
## 660           63    0.501613552    -0.336785064      0.19807860    -1.411068427
## 661           74   -0.404611595     0.764916863     -0.61386522     1.190112768
## 662           89    0.235878358     0.849663166      0.16277670    -0.267874144
## 663          110    3.424700681     0.277625626      0.19807860    -1.245388096
## 664           60   -1.017846657    -0.527464244     -0.54326141    -0.963731534
## 665           91   -0.500003716    -1.057128632      1.04532433    -1.295092196
## 666           75    0.058721563     0.489491382     -0.71977094     1.571177530
## 667           65   -0.568140945     1.336954403     -0.54326141     0.742775875
## 668           41   -0.922454537    -1.544419869     -0.50795950     0.693071776
## 669           78   -0.936081982     0.150506173     -0.79037475     0.196030783
## 670          101   -0.561327222    -0.739329999      1.36304148    -1.030003666
## 671           74    0.372152816     1.125088647     -0.79037475     0.494255378
## 672           97    0.208623467    -0.633397121     -0.86097856     1.140408669
## 673           76   -0.316033198    -1.163061510      1.25713576    -0.947163501
## 674           83   -0.002601944     0.171692749     -0.61386522     0.278870948
## 675           88   -0.976964320    -0.591023970     -0.96688427     0.328575048
## 676           75    0.113231346     0.997969194     -0.61386522     0.411415213
## 677           76   -1.017846657    -1.014755481      0.83351290    -1.411068427
## 678          102   -0.002601944    -0.315598489      0.26868241     0.361711114
## 679           90   -0.111621510     1.421700705     -0.64916712     1.405497199
## 680           60   -0.227454800     0.722543712      0.37458813    -0.980299567
## 681           65    0.528868443     0.764916863     -1.03748808     0.461119312
## 682           93   -0.029856835    -0.696956848     -0.19024236     1.322657033
## 683           82   -0.132062679    -0.103732733     -0.79037475    -0.632370872
## 684           67   -0.050298004     0.955596043     -1.35520523     0.693071776
## 685           86   -0.227454800    -0.400344791     -1.00218618     0.494255378
## 686           89   -0.425052764    -0.548650819     -0.47265760     0.659935709
## 687           82    1.053525108     2.036111395      0.76290909    -1.079707765
## 688          104    1.360142639     1.294581252      1.29243767     0.709639809
## 689           76   -0.241082246    -2.180017135      1.46894719    -1.593316791
## 690           86    0.222250912    -0.463904517      0.23338051    -0.483258574
## 691          108    0.351711648     0.002200144      0.72760718    -1.112843832
## 692           65   -0.827062416     0.828476590     -0.82567665     0.792479974
## 693           77   -0.493189993    -1.396113841      1.36304148    -1.311660229
## 694           87   -0.023043112     1.421700705     -0.89628046     1.521473430
## 695           83   -0.792993801    -1.756285625      0.33928622    -1.278524163
## 696           51   -0.465935102     1.146275223     -0.61386522     0.593663577
## 697           69   -0.493189993     0.086946446     -0.22554426     0.345143081
## 698           51   -0.534072331    -1.650352747      0.76290909    -1.493908593
## 699           79   -0.724856572    -0.824076301     -0.93158237    -0.201602011
## 700           67   -0.329660643     0.319998777     -0.93158237     1.173544735
## 701          112   -0.295592029    -0.569837395      0.48049385    -1.096275799
## 702           77   -0.949709428    -0.824076301     -1.21399761     0.312007014
## 703           65    0.515240998    -1.417300416      0.51579575    -1.228820063
## 704          114    1.108034891     0.786103439      0.12747479     1.306089000
## 705           51   -0.895199645    -1.629166171      0.30398432    -1.129411865
## 706           86   -0.166131294     1.315767827     -1.28460142     2.001946390
## 707           58   -2.237503059    -2.603748646      0.12747479    -1.046571699
## 708           69   -1.195003453    -1.650352747      0.76290909    -1.145979898
## 709           68   -0.861131030     0.023386720     -0.75507284     0.775911941
## 710           98    0.447103769     0.701357137     -0.82567665     2.084786555
## 711           89   -1.774169901    -1.268994387     -0.75507284    -0.168465945
## 712           83   -1.951326696    -1.819845351      0.16277670    -1.576748758
## 713           79   -0.568140945    -0.696956848     -1.17869570     1.074136537
## 714           71    1.155730951     0.743730288     -0.47265760    -0.400418409
## 715           95   -0.234268523     0.214065900     -1.00218618     0.825616040
## 716           47   -1.004219212    -0.760516575      0.62170147    -1.543612692
## 717           92    0.406221431    -0.527464244      2.17498530    -1.145979898
## 718           89   -0.023043112     0.616610835     -0.57856331     0.129758650
## 719           58    0.365339094    -1.438486992      1.32773957    -0.814619236
## 720           78   -0.309219475     1.167461798     -1.00218618     0.610231610
## 721           87    0.828672252     2.269163726     -1.00218618     1.654017695
## 722           85   -0.963336874     0.404745079     -1.07278999     0.411415213
## 723           72    0.419848877     0.913222892     -0.04903473     1.687153761
## 724           88   -0.186572462    -0.739329999     -0.71977094     1.620881629
## 725          106    1.298819132     0.892036317      0.97472052     0.676503743
## 726           61   -0.445493933    -0.485091093     -1.24929951     0.659935709
## 727           95   -0.574954668    -0.442717942      2.06907958    -1.328228262
## 728           79   -0.350101812     0.002200144     -0.82567665     1.206680802
## 729           73    0.958132987     0.298812202     -0.04903473     0.941592272
## 730           74    0.658329179    -1.438486992      2.77511769    -1.129411865
## 731          100    1.557740603    -1.268994387      0.12747479    -1.411068427
## 732           79    0.201809744     0.319998777      0.65700337    -0.930595468
## 733           87   -0.547699777    -0.273225337      0.12747479    -0.698643004
## 734           56   -0.983778043    -1.078315208      0.16277670    -0.317578243
## 735           72   -0.329660643    -0.315598489     -0.43735569    -0.069057747
## 736           83    0.140486237     0.235252475      0.02156908    -0.052489714
## 737          101    0.079162731    -0.548650819     -0.08433664     1.339225066
## 738           85    0.215437190    -0.866449452     -0.57856331     0.013782419
## 739          124   -0.452307656    -1.014755481      0.72760718    -1.295092196
## 740           57   -0.043484281     0.298812202      0.02156908     0.179462750
## 741           56   -0.683974235     0.595424259     -0.93158237     0.659935709
## 742          106    0.365339094     0.023386720      0.02156908     0.825616040
## 743           74    1.550926880     1.252208101      0.19807860    -0.731779070
## 744           66   -0.036670558     1.336954403     -1.17869570     1.272952934
## 745           63   -0.895199645    -1.819845351      0.40989003    -1.245388096
## 746           94   -0.050298004    -0.294411913     -1.03748808     1.272952934
## 747           79    0.201809744     0.150506173     -0.26084617    -0.400418409
## 748           63   -0.827062416    -0.612210546     -0.08433664     0.825616040
## 749           80    0.740093854     1.336954403     -0.54326141     1.306089000
## 750           48   -1.358532803    -0.887636028      0.40989003    -1.344796295
## 751           98   -0.247895968     0.383558504     -0.19024236     0.444551279
## 752           81    2.443524581     0.108133022     -0.04903473    -1.510476626
## 753           71    1.830289519    -0.506277668      0.93941861    -1.643020891
## 754           72    1.189799566     1.358140978     -0.57856331     2.051650489
## 755           67   -0.636278174    -1.565606445      0.05687098    -1.361364328
## 756           80   -0.568140945    -0.400344791      0.72760718    -1.328228262
## 757           77    1.162544674     1.951365093     -0.68446903     1.388929166
## 758          104    0.549309612     1.591193309     -1.53171476     2.068218522
## 759           76    0.501613552     1.739499338     -0.04903473    -0.317578243
## 760           74    0.324456756     1.294581252      0.33928622    -1.013435633
## 761          102    0.194996021     0.256439051     -0.36675188     1.521473430
## 762           93    0.624260564     0.065759871      1.39834338    -1.063139732
## 763          120    1.182985843    -0.442717942      1.96317387    -1.295092196
## 764           79    1.639505278    -0.930009179      1.85726815    -0.831187269
## 765          112    0.413035154     1.188648374      0.62170147    -0.599234806
## 766           98   -0.513631162    -0.760516575     -0.79037475     0.941592272
## 767          103    0.079162731     1.442887280     -1.14339380     1.620881629
## 768           65   -0.247895968    -0.760516575      0.62170147    -1.179115964
## 769           67   -0.997405489    -0.696956848      0.76290909    -1.112843832
## 770           60    0.331270479    -1.671539322      0.44519194    -1.361364328
## 771           90    0.467544937    -0.294411913     -0.57856331     0.593663577
## 772          102    2.368573629    -0.421531366      3.65766532    -0.880891368
## 773           56    0.229064635     0.383558504      0.37458813     0.080054551
## 774           95   -0.520444885    -0.294411913     -0.68446903     0.825616040
## 775           90    0.140486237     0.383558504      0.05687098    -0.566098740
## 776          111    0.031466671    -0.824076301      1.32773957    -0.963731534
## 777           69   -0.663533066     0.383558504     -0.33144998    -0.102193813
## 778           59    0.603819395     0.510677957      0.90411671    -1.063139732
## 779           72    0.113231346     0.362371928      0.58639956    -0.367282342
## 780           90    1.046711385     0.997969194      1.39834338    -0.814619236
## 781           68   -0.833876139    -1.417300416     -0.61386522    -1.543612692
## 782           68   -1.249513236    -0.633397121     -1.00218618     0.825616040
## 783           34   -1.992209034    -1.480860143     -1.63762047    -1.643020891
## 784           91   -0.479562547    -0.569837395     -0.61386522     1.322657033
## 785           81   -0.036670558    -0.802889726      1.64545672    -1.195683997
## 786           17   -1.065542718    -2.031711106     -0.75507284    -1.643020891
## 787           52   -1.154121116    -0.824076301     -0.79037475     0.427983246
## 788           51    0.167741129     0.425931655      1.04532433    -1.361364328
## 789           56    2.470779473    -0.951195754      5.91698726    -0.996867600
## 790           81    0.079162731    -0.124919309     -0.29614807     0.229166849
## 791           78   -0.390984150    -0.124919309     -1.03748808     1.024432437
## 792           92   -0.316033198     1.400514129      0.26868241    -1.427636460
## 793           83   -0.370542981     0.722543712      0.83351290    -0.980299567
## 794           94   -0.275150860    -0.802889726     -0.47265760     1.090704570
## 795           75   -1.147307393    -0.675770273     -0.82567665    -0.085625780
## 796           60   -1.406228863    -1.078315208      0.76290909    -1.328228262
## 797           85   -0.281964583     0.764916863     -0.54326141     0.378279147
## 798           24   -1.229072068    -2.031711106     -0.50795950    -1.527044659
## 799           71    0.249505804     0.701357137     -0.68446903     2.316739019
## 800           95    0.590191950     1.612379885     -0.47265760     0.991296371
## 801           77   -1.065542718     0.235252475     -1.10809189     0.312007014
## 802          104   -0.799807524    -1.692725898      3.12813674    -0.648938905
## 803           67    0.256319527     0.786103439      0.12747479     0.709639809
## 804           72   -0.002601944     0.023386720      0.97472052    -0.947163501
## 805           66    0.092790177     0.680170561      0.02156908    -0.996867600
## 806           79    0.365339094     0.065759871      0.16277670     0.593663577
## 807           79   -0.159317571     0.192879324     -0.29614807     0.494255378
## 808           83    0.365339094     0.129319598     -0.08433664     0.278870948
## 809           77   -0.724856572    -0.336785064     -0.75507284     0.941592272
## 810           70    2.988622414     1.781872489      1.78666434    -0.317578243
## 811           93   -1.011032934    -0.675770273     -1.10809189     1.024432437
## 812           71   -0.227454800     0.658983986     -0.47265760     0.676503743
## 813           80   -0.874758476    -0.824076301     -1.17869570     1.339225066
## 814           79   -1.045101549    -0.591023970     -1.14339380     0.046918485
## 815           86   -0.922454537    -0.908822603     -0.75507284     0.046918485
## 816           61   -1.535689599    -1.205434661      1.15123005    -1.228820063
## 817           97    0.031466671    -0.252038762     -0.26084617     0.328575048
## 818           85    1.012642770     1.485260431      0.23338051     0.278870948
## 819           96   -0.983778043    -0.633397121      0.44519194    -1.394500394
## 820           75   -0.840689862    -0.527464244     -0.86097856    -0.019353647
## 821           77   -0.799807524     0.065759871     -0.61386522    -0.267874144
## 822           60   -1.276768128    -1.946964804      0.05687098    -0.831187269
## 823           67    0.038280394    -0.082546158     -0.33144998    -0.118761846
## 824           79   -0.336474366     0.447118230      1.15123005     0.146326683
## 825           90   -1.045101549    -1.120688359     -0.93158237     1.372361132
## 826           79   -0.506817439    -1.756285625      0.97472052    -1.245388096
## 827           75   -0.861131030    -1.374927265      0.97472052    -1.278524163
## 828           88    0.637888010     0.023386720     -0.43735569     1.074136537
## 829           77   -0.288778306     0.892036317     -0.68446903     1.223248835
## 830           79    0.188182298     0.531864533     -0.33144998    -0.052489714
## 831           75   -0.350101812    -0.040173007     -1.17869570     1.024432437
## 832           39   -0.166131294    -0.993568905     -0.57856331    -1.427636460
## 833           27   -1.181376007    -1.057128632     -0.15494045    -1.245388096
## 834           77    1.721269953     1.082715496      1.75136244    -0.632370872
## 835           62   -1.140493670    -0.887636028     -0.01373283    -0.069057747
## 836           80   -0.029856835     0.341185353     -0.40205379     0.908456206
## 837           70   -1.167748561    -2.285950013      1.39834338    -1.377932361
## 838           75    2.205044280     1.739499338     -0.04903473     1.041000471
## 839           74    0.065535285    -0.230852186     -1.14339380     0.527391445
## 840           98   -0.172945016     0.108133022     -0.71977094     1.289520967
## 841           90    0.290388142     0.722543712     -1.14339380     1.471769331
## 842           51   -0.677160512    -2.116457409     -0.40205379    -1.444204494
## 843           84   -0.847503585    -0.781703150     -0.57856331     0.659935709
## 844           93   -0.602209560    -0.696956848     -0.50795950     0.196030783
## 845           97   -1.126866224    -0.781703150     -0.89628046     0.676503743
## 846           84    0.399407708    -0.421531366     -0.86097856     0.626799643
## 847           99   -0.738484018    -1.332554114     -0.75507284     0.179462750
## 848           96    0.269946973    -0.018986431     -0.93158237     1.654017695
## 849           74    0.310829310     1.167461798      0.19807860    -0.052489714
## 850           95    1.046711385     0.086946446      1.92787196    -0.996867600
## 851           85    0.590191950     0.383558504      1.15123005    -1.046571699
## 852           87   -0.779366356    -1.523233294      1.53955100    -1.179115964
## 853           85    0.815044806     0.235252475      1.08062624    -1.295092196
## 854          102   -1.174562284    -1.438486992      0.02156908    -1.377932361
## 855           54   -1.038287826    -1.671539322      0.58639956    -1.212252030
## 856           76   -0.554513499     0.553051108     -1.28460142     1.256384901
## 857           49   -1.160934839    -0.739329999      0.02156908    -1.013435633
## 858           88    0.133672515    -0.485091093     -0.36675188     0.510823412
## 859           82   -1.154121116    -1.035942057     -0.54326141    -0.085625780
## 860           90    1.155730951     1.464073856     -0.89628046     2.018514423
## 861           61    0.304015587     0.277625626      0.65700337    -1.278524163
## 862           98    0.011025502     0.892036317     -0.50795950     1.090704570
## 863           59   -1.031474103    -0.548650819      0.83351290    -1.096275799
## 864           76   -0.145690125     1.103902072     -0.57856331     0.229166849
## 865           78   -0.540886054    -0.442717942     -0.33144998     1.190112768
## 866           72   -0.002601944     0.277625626     -0.75507284     0.543959478
## 867           87   -0.683974235    -0.061359582     -0.79037475     0.494255378
## 868           90   -0.500003716    -0.103732733     -0.11963855    -0.549530706
## 869           60    1.073966276     0.913222892      0.09217289     0.394847180
## 870           92   -0.588582114    -0.442717942     -0.61386522     0.510823412
## 871           89    0.154113683     1.739499338     -0.75507284     2.117922622
## 872           80    0.167741129     0.192879324     -0.43735569     0.593663577
## 873           77   -0.118435233    -0.124919309     -0.79037475     0.858752107
## 874          111   -0.520444885    -1.798658776      1.43364529    -1.261956130
## 875           89    0.644701733    -0.527464244      1.43364529    -1.063139732
## 876           75    0.017839225     1.993738244     -0.89628046     0.659935709
## 877           94    0.051907840     0.002200144      0.33928622     0.162894717
## 878           93   -0.138876402    -0.951195754     -0.93158237     0.361711114
## 879           78   -0.718042849     0.235252475      1.61015482    -1.377932361
## 880           65    0.167741129     1.379327554     -0.93158237     1.090704570
## 881           65   -0.043484281    -0.760516575     -0.50795950    -1.510476626
## 882           45   -1.937699250    -1.735099049     -0.40205379    -1.477340560
## 883           78    0.365339094     0.637797410     -0.68446903     1.156976702
## 884           86   -1.849120853    -1.247807812     -0.82567665     0.162894717
## 885           72   -0.254709691     0.044573295      0.05687098    -0.599234806
## 886          102    0.304015587     0.023386720      0.72760718     0.361711114
## 887           61   -0.915640814     0.129319598     -0.36675188     0.212598816
## 888           86   -0.118435233     0.044573295     -0.75507284     1.024432437
## 889           26    2.089210990     0.934409468      3.76357104    -1.328228262
## 890           72    0.876368312    -0.548650819      1.85726815    -1.063139732
## 891           74   -0.397797872    -1.629166171      0.40989003    -1.460772527
## 892           79    0.344897925    -0.082546158      1.50424910    -1.179115964
## 893           53   -1.174562284    -1.057128632     -0.64916712    -0.334146276
## 894           72    0.590191950    -0.718143424      1.46894719    -1.013435633
## 895           14   -0.220641077    -1.968151380      0.02156908    -1.643020891
## 896           85    0.413035154     1.548820158     -1.00218618     0.792479974
## 897          116    1.768966013     1.379327554      1.85726815     1.107272603
## 898           90   -0.718042849    -0.548650819     -0.86097856     0.891888173
## 899           72   -1.849120853    -0.993568905     -0.08433664    -1.278524163
## 900           60   -1.051915272    -1.014755481      0.37458813    -1.377932361
## 901           89    2.940926354    -0.760516575      2.45740054    -1.394500394
## 902           73   -0.302405752    -0.379158215     -1.49641285     1.156976702
## 903           80   -0.329660643    -0.103732733     -0.36675188    -0.234738078
## 904           81   -1.181376007    -0.633397121     -0.47265760    -0.483258574
## 905           82    1.544113157     2.057297971      0.62170147    -0.400418409
## 906           85    1.046711385     0.786103439      0.51579575    -0.002785614
## 907           46   -1.467552370    -1.841031927      2.52800435    -1.195683997
## 908           59   -1.195003453    -1.163061510      0.12747479     0.179462750
## 909           96    0.079162731    -1.035942057      1.32773957    -1.328228262
## 910          120    5.455190108     1.273394676      2.70451388    -0.947163501
## 911           60    0.120045069    -0.018986431      0.23338051     0.775911941
## 912           81   -0.384170427    -0.781703150     -0.47265760    -0.102193813
## 913           76   -1.474366092    -1.332554114     -0.89628046     0.013782419
## 914           83   -0.445493933     0.002200144     -0.82567665     1.057568504
## 915           76   -0.540886054    -0.591023970     -1.03748808    -0.317578243
## 916           70   -0.888385922     0.616610835     -1.00218618     0.361711114
## 917           95    0.406221431     0.362371928      0.69230528    -0.499826607
## 918           64   -0.711229126    -0.569837395     -0.01373283    -0.151897912
## 919           96   -1.079170164    -0.718143424      0.12747479    -1.394500394
## 920           64   -1.549317044    -1.014755481     -0.86097856    -0.185033978
## 921           53   -0.854317308    -0.866449452     -0.57856331     0.146326683
## 922          103   -0.261523414    -1.311367538      0.69230528    -0.963731534
## 923           75    5.128131409     1.146275223      4.99913772    -1.063139732
## 924           85   -0.813434970     0.065759871     -0.22554426     0.328575048
## 925           54   -1.208630899    -0.845262877     -0.43735569    -0.002785614
## 926           96   -0.792993801    -0.040173007      1.22183386    -1.328228262
## 927          134    5.884454652     3.222559625      1.82196625    -1.245388096
## 928           62   -0.084366619    -1.332554114      0.55109766    -1.295092196
## 929           79    0.399407708     1.485260431     -0.93158237     2.664667714
## 930          104   -0.929268260    -0.739329999      0.12747479    -1.311660229
## 931           72   -0.241082246     0.256439051     -1.31990333     1.024432437
## 932           42   -0.520444885    -1.692725898      0.12747479    -1.411068427
## 933           82    1.435093591     0.150506173      2.49270245    -0.466690541
## 934           77   -0.813434970    -0.527464244     -0.36675188     0.925024239
## 935          103    2.484406919     0.786103439      3.86947675    -0.450122508
## 936          107    1.264750518     2.014924820      0.79821099     0.527391445
## 937           78    1.462348482     2.798828114     -0.82567665     1.422065232
## 938           64   -0.370542981    -0.908822603      1.32773957    -1.394500394
## 939           77   -0.029856835     0.531864533     -0.50795950     0.179462750
## 940           48    1.264750518     2.184417424     -0.33144998    -0.400418409
## 941           75    1.217054457     0.150506173      1.15123005    -1.162547931
## 942           67   -0.234268523     0.192879324     -0.04903473     1.422065232
## 943           78    0.631074287     1.315767827      0.33928622    -0.151897912
## 944           61   -0.275150860    -2.709681523     -0.43735569    -1.543612692
## 945           82    0.201809744    -0.294411913     -0.50795950     1.057568504
## 946           87   -0.506817439     0.574237684     -0.57856331     0.925024239
## 947           74    0.017839225     1.887805366     -0.86097856     1.637449662
## 948           87    1.305632855     0.913222892      0.62170147    -0.930595468
## 949           71   -0.649905620     0.913222892     -1.21399761     0.825616040
## 950           76   -0.929268260     0.722543712     -0.50795950     0.792479974
## 951           90    1.101221168    -0.124919309      1.22183386    -0.831187269
## 952           57   -0.493189993    -0.972382330     -0.93158237     0.179462750
## 953           68   -0.649905620    -0.082546158     -0.19024236     1.173544735
## 954           97   -0.765738910    -0.252038762     -1.24929951     1.041000471
## 955           75   -0.472748825     1.273394676     -1.24929951     1.339225066
## 956           64   -0.547699777    -1.014755481      0.19807860    -1.295092196
## 957           75    1.182985843    -1.650352747      1.36304148    -0.947163501
## 958           74   -0.111621510     0.743730288     -0.36675188     0.129758650
## 959           92    0.910436926     0.658983986     -0.64916712     1.041000471
## 960           90    0.671956625     0.277625626     -0.11963855     1.538041463
## 961           79   -1.276768128    -0.718143424     -0.61386522     0.809048007
## 962           78   -0.438680210    -0.569837395      0.09217289    -0.996867600
## 963           70    0.051907840    -1.014755481      0.69230528    -1.344796295
## 964           91    0.297201864    -1.798658776      1.96317387    -1.013435633
## 965           91    0.447103769     0.595424259     -0.54326141     0.891888173
## 966           95    0.562937058     0.383558504     -1.39050714     2.151058688
## 967           93   -1.235885791    -0.252038762      0.40989003    -1.411068427
## 968          128    5.475631277     1.718312762      0.83351290    -1.311660229
## 969           61    0.896809481     1.654753036      0.51579575    -0.251306111
## 970           64   -1.317650466    -1.311367538     -1.00218618     0.427983246
## 971           98    0.072349008    -1.057128632      1.78666434    -0.450122508
## 972           67   -1.242699513    -2.095270833      0.33928622    -1.328228262
## 973           66   -0.009415667     0.214065900     -1.14339380     1.156976702
## 974           72   -1.467552370     0.383558504     -1.35520523    -0.102193813
## 975           55    2.770583281     2.586962359     -0.33144998     0.560527511
## 976           59   -0.486376270    -0.315598489      0.23338051    -0.367282342
## 977           54    1.319260301     0.447118230      2.56330626    -0.483258574
## 978           86   -0.629464451    -0.188479035     -0.71977094     0.626799643
## 979           60   -0.956523151    -1.163061510     -0.50795950    -0.698643004
## 980           82    0.120045069     0.023386720     -0.40205379     0.312007014
## 981           90    1.292005409    -0.230852186      2.38679673    -0.930595468
## 982           79   -0.370542981     0.574237684     -0.82567665     1.272952934
## 983          102    0.099603900    -0.612210546      1.36304148    -0.599234806
## 984           83   -0.254709691     1.252208101     -0.68446903     1.041000471
## 985           75   -1.297209297    -0.866449452     -0.68446903    -0.118761846
## 986           54    0.324456756    -1.099501783      1.04532433    -1.013435633
## 987           92   -0.316033198     0.171692749     -0.29614807    -0.019353647
## 988           81   -0.234268523    -0.506277668     -0.11963855    -0.301010210
## 989           79    0.569750781     1.400514129     -0.50795950     1.289520967
## 990          104    1.366956362     2.205603999      3.05753293    -0.715211037
## 991           65   -0.084366619    -0.294411913     -0.33144998     1.074136537
## 992           63   -0.207013631    -1.268994387     -0.22554426    -0.019353647
## 993           78    0.222250912    -0.675770273      0.93941861    -1.096275799
## 994           97    0.944505541     0.171692749     -0.19024236     0.046918485
## 995          103    0.487986106     0.002200144     -0.01373283    -0.648938905
## 996           97    0.583378227    -0.379158215      0.19807860     0.908456206
## 997           67   -0.397797872     0.298812202     -0.71977094     1.488337364
## 998          103   -0.336474366    -0.252038762      0.23338051     0.096622584
## 999           77    0.038280394    -0.230852186     -0.75507284     0.925024239
## 1000          67   -0.486376270     0.171692749     -0.08433664     0.444551279
## 1001          95   -0.479562547    -0.845262877     -1.00218618     0.146326683
## 1002          79   -0.356915535    -0.336785064     -0.64916712     1.024432437
## 1003          94    0.058721563     0.383558504     -1.00218618     1.322657033
## 1004          70   -0.227454800    -0.866449452      0.02156908    -0.317578243
## 1005          78   -1.780983623    -1.544419869     -0.40205379    -1.493908593
## 1006          93    1.312446578    -0.273225337      2.06907958    -0.947163501
## 1007          81   -0.152503848     0.362371928     -0.22554426    -0.831187269
## 1008          85    0.004211779     0.976782619     -1.10809189     0.958160305
## 1009          90    1.176172120    -0.061359582      1.71606053    -0.864323335
## 1010          92   -0.472748825    -0.548650819     -0.54326141     0.709639809
## 1011          98   -0.363729258    -0.463904517     -0.64916712     0.792479974
## 1012          96    0.304015587     0.764916863     -0.61386522     1.919106225
## 1013          87   -0.227454800    -0.675770273     -0.68446903     1.637449662
## 1014         101    0.331270479     1.336954403     -1.46111095     2.167626721
## 1015          75   -1.324464188    -0.548650819      0.05687098    -0.466690541
## 1016          74    0.263133250     1.464073856     -1.17869570     1.405497199
## 1017          92   -0.159317571    -0.230852186      0.40989003    -0.400418409
## 1018          75    0.862740866    -0.781703150      1.82196625    -1.079707765
## 1019          83   -0.179758739    -0.040173007     -0.54326141     1.140408669
## 1020         101    0.835485974     1.167461798      0.05687098     0.129758650
## 1021          86   -0.711229126    -1.480860143     -0.54326141     0.809048007
## 1022          81    0.453917491     0.743730288      0.02156908    -0.549530706
## 1023          85    1.564554326    -0.082546158      1.89257006    -1.311660229
## 1024          81   -1.263140682    -0.696956848     -0.54326141     0.080054551
## 1025          69   -1.126866224    -0.866449452     -0.86097856     0.013782419
## 1026          94   -0.425052764     0.298812202     -0.89628046     0.693071776
## 1027          71   -0.602209560    -0.485091093     -0.93158237     0.577095544
## 1028          89    0.910436926     0.341185353      1.99847577    -0.864323335
## 1029          86    1.060338831     1.527633582      1.01002242    -0.549530706
## 1030         103    0.678770347     0.595424259      0.12747479    -0.416986442
## 1031          78    0.985387878     1.654753036     -1.31990333     1.156976702
## 1032          75   -0.731670295     0.044573295     -0.96688427     0.477687345
## 1033         102    0.712838962    -0.061359582      1.32773957    -1.162547931
## 1034          78   -1.031474103    -1.607979596      1.64545672    -1.162547931
## 1035          85   -0.322846920     0.319998777     -0.36675188     1.720289827
## 1036          78    0.338084202    -0.124919309      2.13968339    -0.963731534
## 1037          93    0.392593985    -0.866449452      0.30398432    -1.643020891
## 1038          97    0.147299960    -0.146105884     -0.26084617     1.223248835
## 1039          67   -0.077552896    -0.951195754     -0.40205379    -1.063139732
## 1040          72   -1.610640551    -0.760516575     -0.96688427    -0.549530706
## 1041          72   -0.799807524     0.086946446      0.12747479    -0.267874144
## 1042          86   -0.772552633    -1.078315208      0.83351290    -0.963731534
## 1043          64   -0.029856835     0.531864533     -0.40205379     0.477687345
## 1044          91    0.910436926    -0.209665611      1.99847577    -0.814619236
## 1045          92    0.201809744     0.976782619     -0.75507284     1.538041463
## 1046          65    0.372152816     0.531864533      0.93941861    -0.383850376
## 1047          75   -1.167748561    -1.247807812     -0.01373283    -1.162547931
## 1048          99   -0.104807787    -0.569837395     -0.22554426    -0.002785614
## 1049         101   -0.241082246     0.828476590      0.02156908    -1.212252030
## 1050          81    0.992201601     1.082715496     -0.86097856     1.041000471
## 1051          72    1.326074024    -0.188479035      2.24558911    -0.864323335
## 1052         100    0.610633118     0.341185353     -0.61386522     1.504905397
## 1053          88    1.196613289    -0.146105884      1.39834338    -0.847755302
## 1054          68   -1.256326959    -0.908822603     -0.79037475     0.278870948
## 1055          78   -0.643091897     0.065759871     -0.68446903    -0.035921681
## 1056         100   -0.275150860     0.023386720      0.48049385    -0.698643004
## 1057         104   -0.172945016    -0.040173007     -0.93158237     1.156976702
## 1058          63   -1.208630899    -1.353740689     -0.64916712     0.312007014
## 1059          73   -0.057111727     0.828476590     -0.26084617    -0.201602011
## 1060          80   -0.227454800    -0.760516575     -1.07278999     0.941592272
## 1061         108   -0.309219475    -0.591023970     -1.07278999     1.322657033
## 1062          86    0.038280394    -0.527464244     -0.33144998     0.643367676
## 1063          95   -0.506817439     0.997969194     -0.47265760     0.643367676
## 1064          67   -0.043484281    -0.018986431     -0.08433664    -0.930595468
## 1065          87    0.883182035     1.315767827     -1.17869570     2.018514423
## 1066          99    1.857544411     2.798828114      1.39834338    -0.914027435
## 1067          71   -0.915640814    -0.336785064     -0.71977094     0.560527511
## 1068          63    0.876368312     0.489491382     -0.26084617     0.378279147
## 1069          68   -0.172945016     0.595424259     -0.57856331     0.461119312
## 1070          91   -0.111621510    -0.696956848     -1.10809189     0.792479974
## 1071          65   -0.343288089    -0.675770273     -0.26084617     0.229166849
## 1072          80   -0.002601944    -0.336785064     -0.04903473     0.361711114
## 1073          86   -1.045101549    -0.040173007     -0.96688427    -0.035921681
## 1074          46    0.126858792     0.701357137     -0.19024236    -0.135329879
## 1075          86   -0.636278174    -0.781703150     -0.61386522     1.355793099
## 1076          93   -0.588582114    -0.336785064      1.04532433    -1.460772527
## 1077          76    0.235878358     1.781872489     -0.04903473     0.958160305
## 1078          67   -0.540886054    -0.951195754     -0.61386522    -0.499826607
## 1079          55   -0.029856835     0.616610835      0.58639956    -0.831187269
## 1080          93   -0.002601944     0.701357137     -0.82567665     1.654017695
## 1081          81   -0.479562547    -1.311367538     -0.86097856    -0.317578243
## 1082         104   -0.329660643    -1.692725898      1.36304148    -0.516394640
## 1083         101   -0.200199908    -0.718143424     -0.01373283     1.422065232
## 1084          78   -0.179758739     0.404745079      0.58639956    -0.880891368
## 1085          83   -0.247895968     0.616610835     -0.08433664     0.146326683
## 1086          74    0.242692081    -0.146105884      1.57485291    -1.295092196
## 1087          90    0.576564504    -0.654583697      2.03377768    -1.411068427
## 1088          61   -0.568140945    -0.040173007     -0.96688427     0.891888173
## 1089          82    0.706025239    -0.379158215      1.25713576    -0.599234806
## 1090          65    0.678770347     0.680170561     -0.57856331     0.162894717
## 1091          95   -0.138876402     0.235252475     -0.22554426    -0.085625780
## 1092          93    0.113231346    -0.336785064      0.05687098    -0.781483170
## 1093         146    5.693670410     1.718312762      1.96317387    -1.162547931
## 1094          91   -1.051915272    -1.035942057     -0.68446903     0.875320140
## 1095          68   -0.472748825     0.086946446     -1.21399761     0.891888173
## 1096          88    0.597005673    -0.442717942     -0.11963855     0.328575048
## 1097          55   -1.624267997    -2.391882890     -0.04903473    -1.311660229
## 1098          70   -0.445493933     0.150506173     -1.17869570     0.974728338
## 1099          67   -0.704415403     1.188648374     -0.82567665     0.610231610
## 1100          66   -1.740101286    -1.671539322     -0.50795950    -0.483258574
## 1101          66   -1.017846657    -1.396113841      0.44519194    -1.311660229
## 1102          70   -0.316033198    -1.057128632      1.82196625    -1.228820063
## 1103          73    0.263133250     0.892036317     -0.50795950     0.875320140
## 1104          93   -1.201817176    -1.713912473     -0.71977094    -1.560180725
## 1105          70    0.011025502    -0.845262877     -0.22554426    -0.019353647
## 1106          57    0.419848877    -0.357971640      0.19807860    -1.079707765
## 1107          92   -0.356915535    -0.357971640     -0.71977094     2.101354589
## 1108          91   -0.070739173     1.082715496     -0.40205379     0.958160305
## 1109          80   -0.023043112    -0.146105884      0.97472052    -0.748347104
## 1110          87    2.688818606     0.870849741      3.72826913    -0.781483170
## 1111          73   -0.881572199    -0.421531366     -1.03748808     0.461119312
## 1112         108    2.048328653     1.315767827      0.48049385    -1.261956130
## 1113          89   -0.295592029    -1.035942057     -0.36675188    -1.460772527
## 1114          45   -0.861131030    -0.908822603     -0.54326141    -0.532962673
## 1115          72   -1.031474103    -0.273225337     -0.40205379     0.759343908
## 1116          69   -1.079170164    -1.311367538     -0.82567665    -0.019353647
## 1117          76   -1.603826828    -0.824076301     -0.68446903    -0.532962673
## 1118          75    0.706025239     1.252208101     -0.64916712     1.057568504
## 1119          81   -0.500003716     0.086946446     -0.93158237     0.262302915
## 1120          75    0.194996021    -0.400344791     -0.57856331     0.394847180
## 1121          87    1.271564241    -0.167292460      1.89257006    -1.112843832
## 1122          83   -0.145690125     0.341185353     -0.08433664     0.577095544
## 1123          72   -0.629464451    -0.315598489     -0.71977094    -0.102193813
## 1124          70   -0.295592029    -0.294411913     -0.33144998     0.146326683
## 1125          76   -0.758925187    -0.930009179     -1.14339380     1.388929166
## 1126          89   -0.138876402    -0.230852186      0.09217289     1.521473430
## 1127          67   -0.438680210     0.171692749     -0.57856331     0.543959478
## 1128          82   -0.343288089    -0.400344791     -0.79037475     1.173544735
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## 1137          87    0.556123335     1.167461798      0.12747479     0.792479974
## 1138          74   -1.372160249    -1.523233294      0.69230528    -1.311660229
## 1139          92    1.033083939     1.103902072     -0.96688427     1.041000471
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## 1141          80   -0.145690125    -0.082546158     -1.00218618     0.792479974
## 1142          89   -0.207013631     0.129319598     -0.54326141     0.709639809
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## 1145          69   -1.815052238    -0.718143424      0.62170147    -1.245388096
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## 1149          78    0.154113683     0.892036317     -1.21399761     2.383011151
## 1150          74   -0.207013631     0.531864533     -1.35520523     0.875320140
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## 1158          94    2.034701207     1.633566460      1.01002242    -0.301010210
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## 1168          99    0.767348745    -0.209665611      0.83351290     0.013782419
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## 1174          83   -0.792993801    -0.887636028     -1.10809189    -0.218170045
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## 1176         103   -0.615837006    -0.675770273     -1.17869570     1.074136537
## 1177          84    0.753721300     2.036111395     -1.46111095     1.869402125
## 1178          77    0.474358660     1.294581252     -0.40205379     1.024432437
## 1179          66    0.419848877     1.294581252      0.33928622    -0.317578243
## 1180          73   -1.263140682    -0.633397121     -0.71977094     0.610231610
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## 1182          86   -1.474366092    -0.718143424     -1.35520523     0.427983246
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## 1186          97   -0.029856835     0.849663166     -1.03748808     1.587745563
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## 1188          91   -1.924071805    -0.548650819     -0.96688427     0.560527511
## 1189          72   -0.302405752     0.256439051     -0.93158237     1.438633265
## 1190          89   -0.166131294    -0.040173007     -1.39050714     1.604313596
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## 1192          86    1.094407445     0.531864533      1.82196625    -1.096275799
## 1193          76    0.099603900     0.108133022     -0.79037475     1.836266059
## 1194          88    1.428279868     1.209834950      1.01002242    -0.599234806
## 1195          76   -0.568140945     0.595424259     -1.00218618     0.709639809
## 1196          57   -0.956523151     0.044573295      0.19807860    -0.980299567
## 1197          36    0.746907577    -1.205434661      0.97472052    -1.013435633
## 1198          90   -0.983778043    -0.463904517     -0.47265760     0.378279147
## 1199          77    0.324456756    -0.569837395     -0.22554426    -0.035921681
## 1200          82   -1.174562284    -1.163061510     -1.00218618     0.046918485
## 1201          95   -0.241082246    -0.315598489     -0.96688427     0.494255378
## 1202          77    0.031466671    -0.018986431     -0.68446903     0.610231610
## 1203          94    0.460731214     0.404745079     -0.26084617     1.736857861
## 1204         101    0.160927406    -0.252038762      1.25713576    -1.361364328
## 1205          54   -0.643091897    -0.209665611     -0.50795950     0.030350452
## 1206          73   -1.481179815    -1.332554114     -0.89628046    -0.301010210
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## 1208          75   -0.411425318    -0.654583697     -0.61386522    -0.069057747
## 1209          59   -0.241082246     0.447118230      0.48049385    -0.499826607
## 1210          96    0.453917491     0.489491382      0.40989003    -0.035921681
## 1211          38   -2.135297215    -1.247807812      0.48049385    -1.129411865
## 1212          88    0.222250912     1.209834950     -0.86097856     0.113190617
## 1213          79   -0.384170427    -0.294411913     -0.33144998     2.018514423
## 1214          83   -0.329660643     0.807290014     -0.82567665     1.256384901
## 1215          70    0.896809481     0.595424259      0.19807860    -0.930595468
## 1216          82    0.644701733    -0.315598489      0.90411671    -0.035921681
## 1217          92    0.058721563    -0.315598489     -0.04903473    -0.102193813
## 1218          77   -0.343288089     1.061528921     -1.00218618     1.521473430
## 1219          63    0.215437190     1.209834950     -0.61386522     0.626799643
## 1220          85   -0.806621247    -1.374927265      0.86881480    -1.394500394
## 1221          99    1.373770084     0.849663166      2.17498530    -0.615802839
## 1222          82    0.290388142    -0.781703150      0.93941861    -1.030003666
## 1223          80    0.017839225    -1.014755481      0.72760718    -1.162547931
## 1224          94   -0.404611595     0.002200144     -0.79037475    -0.748347104
## 1225          54   -0.547699777    -1.226621236     -0.47265760    -0.665506938
## 1226          72   -1.045101549    -1.247807812      0.58639956    -1.245388096
## 1227          79   -0.132062679     0.743730288     -0.93158237     1.024432437
## 1228          95    0.535682166     1.125088647     -0.54326141     1.720289827
## 1229          88   -0.867944753     0.150506173     -1.07278999     0.394847180
## 1230          73    0.542495889     0.023386720      1.53955100    -1.145979898
## 1231          89   -0.138876402     0.510677957     -0.54326141     0.709639809
## 1232          90    0.249505804    -0.506277668      0.05687098     0.196030783
## 1233          66   -0.207013631     1.061528921      0.16277670     0.659935709
## 1234          56    0.399407708     0.277625626      0.30398432    -0.383850376
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## 1237          53    0.937691818     0.658983986     -0.50795950     0.312007014
## 1238          67   -0.792993801     1.485260431     -1.00218618     1.090704570
## 1239         101   -0.125248956    -0.103732733      0.65700337    -0.880891368
## 1240          76   -1.706032671    -1.523233294     -1.07278999     0.278870948
## 1241          93    0.917250649    -0.061359582      1.61015482    -0.698643004
## 1242          74   -0.609023283    -0.167292460     -0.54326141     0.527391445
## 1243          67    0.038280394     1.464073856     -0.71977094     1.306089000
## 1244          74    0.774162468     0.849663166     -0.61386522     1.272952934
## 1245          54   -1.317650466    -1.120688359     -0.82567665     0.146326683
## 1246          95    2.109652159    -0.802889726      1.46894719    -1.245388096
## 1247          69   -0.820248693    -0.040173007     -1.21399761     1.372361132
## 1248          83   -0.438680210     0.002200144     -0.96688427     0.162894717
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## 1252          95    0.726466408    -0.061359582      2.66921197     0.129758650
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## 1258          76   -0.724856572    -0.908822603      0.09217289     1.239816868
## 1259          96    1.135289783     1.781872489     -1.14339380     1.024432437
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## 1261          91   -0.581768391     0.425931655     -0.22554426     0.908456206
## 1262          81   -0.438680210     0.468304806      0.16277670     0.245734882
## 1263         101    0.242692081     0.383558504     -0.36675188     0.179462750
## 1264          73   -0.547699777    -0.103732733     -1.14339380     0.427983246
## 1265          86   -0.350101812    -0.845262877     -0.40205379     0.113190617
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## 1267          98   -0.540886054     1.082715496     -0.89628046     1.123840636
## 1268          68   -1.494807261    -1.438486992     -1.14339380    -0.135329879
## 1269          68   -0.704415403     0.468304806     -0.50795950    -0.267874144
## 1270          87   -0.806621247     0.828476590     -1.21399761     0.792479974
## 1271          88    0.085976454     1.591193309     -1.28460142     2.018514423
## 1272          84   -1.038287826    -2.158830560      1.32773957    -1.328228262
## 1273          67   -0.220641077    -0.463904517     -1.24929951     1.852834092
## 1274          76    0.188182298    -0.485091093     -0.15494045     0.229166849
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## 1276          82   -0.418239041    -0.527464244      1.36304148    -1.179115964
## 1277          79    0.194996021    -0.294411913     -0.93158237     1.504905397
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## 1281          72   -0.016229389    -0.442717942      0.09217289     0.278870948
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## 1283          72   -1.665150334    -1.586793020     -1.35520523     0.013782419
## 1284          61   -0.506817439     0.553051108     -0.79037475     1.504905397
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## 1286          90    0.508427275     0.722543712     -1.00218618     0.080054551
## 1287         111    0.597005673     0.150506173      1.39834338    -0.814619236
## 1288          79    0.310829310     0.680170561     -0.04903473     0.162894717
## 1289          62   -0.622650729     0.065759871     -0.54326141     1.090704570
## 1290          62   -1.160934839    -0.739329999     -0.33144998     0.080054551
## 1291          98    1.775779736     0.934409468      1.08062624     0.030350452
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## 1293          94   -0.861131030    -0.781703150      1.75136244    -1.344796295
## 1294          83   -0.043484281     1.252208101     -0.93158237     1.902538191
## 1295          90    0.160927406     1.336954403     -0.54326141     2.250466886
## 1296          75   -0.336474366    -0.845262877     -0.43735569     0.560527511
## 1297          96   -0.411425318     0.658983986     -0.04903473     0.113190617
## 1298          79    0.106417623     0.404745079      0.09217289    -0.234738078
## 1299          78    0.201809744     0.870849741     -0.26084617     1.024432437
## 1300          78   -0.152503848     0.447118230     -0.36675188     0.113190617
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## 1305          82   -0.656719343    -0.124919309     -0.61386522    -0.118761846
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## 1308          59   -0.813434970    -0.273225337     -0.64916712     0.974728338
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## 1310          48   -0.547699777    -0.696956848      1.22183386    -0.947163501
## 1311         100    0.365339094     0.870849741      0.69230528     0.361711114
## 1312          84    1.346515193    -0.209665611      2.98692912    -0.632370872
## 1313          70   -0.302405752     0.828476590     -0.33144998     0.775911941
## 1314          95    0.883182035     0.764916863     -0.50795950     1.935674258
## 1315          87   -0.792993801    -0.527464244     -0.68446903     0.543959478
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## 1317          50   -0.145690125    -1.565606445      1.46894719    -0.880891368
## 1318         105    1.162544674    -0.612210546      1.82196625    -1.079707765
## 1319          68    0.085976454     0.002200144      0.37458813     0.295438981
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## 1324          86    0.399407708     1.379327554     -0.11963855    -0.499826607
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## 1328          87    0.569750781     0.870849741     -0.96688427     1.803129993
## 1329          73   -0.084366619    -0.866449452      1.25713576    -1.311660229
## 1330          78   -1.079170164    -1.226621236      0.65700337    -1.576748758
## 1331          69    1.653132724     0.807290014      0.97472052    -0.383850376
## 1332          59   -0.486376270    -0.951195754      0.02156908     0.444551279
## 1333          60   -1.290395574     0.129319598     -0.86097856     0.196030783
## 1334          93   -0.561327222     0.658983986     -0.82567665     0.626799643
## 1335          79    0.201809744     0.468304806     -1.21399761     2.399579184
## 1336          83    0.453917491    -0.760516575      1.32773957    -1.030003666
## 1337          54   -0.077552896    -0.124919309      0.86881480    -1.212252030
## 1338          63   -1.126866224    -0.294411913     -0.71977094     0.626799643
## 1339          93    0.385780262     0.341185353      1.46894719    -1.195683997
## 1340          94    0.556123335     1.972551669     -0.47265760     1.272952934
## 1341          94    1.339701470     0.086946446      1.96317387    -1.013435633
## 1342          83   -0.377356704    -1.141874934      2.73981579    -1.162547931
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## 1344          53   -1.651522888    -1.417300416      0.69230528    -1.261956130
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## 1347          63   -0.697601681     0.489491382     -1.10809189     0.626799643
## 1348          88   -0.166131294    -0.146105884      0.51579575    -1.079707765
## 1349          91    0.079162731     1.252208101     -1.03748808     1.637449662
## 1350          53   -0.295592029    -1.523233294      2.70451388    -1.228820063
## 1351          99    1.918867917     1.294581252      0.30398432     1.156976702
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## 1355          92    2.668377438     0.786103439      1.11592814     0.842184073
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## 1373         105    0.508427275     1.654753036     -1.10809189     1.902538191
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## 1378          80   -0.125248956     1.654753036     -0.93158237     0.245734882
## 1379          78    1.114848614     1.930178518     -0.29614807     0.312007014
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## 1386          99   -0.486376270    -0.188479035     -0.75507284     0.626799643
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## 1397         105    0.699211516     1.273394676      0.62170147     0.113190617
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## 1400          83    0.222250912     1.633566460     -0.93158237     1.654017695
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## 1403          99    0.699211516    -0.061359582      0.30398432     0.709639809
## 1404          84    0.944505541     1.273394676     -0.68446903     1.074136537
## 1405          85    0.331270479     1.125088647     -0.50795950     1.935674258
## 1406          74   -0.527258608     0.214065900     -1.03748808     0.080054551
## 1407          79   -1.133679947    -2.497815768      1.32773957    -1.394500394
## 1408          97   -0.172945016    -0.379158215     -0.43735569     0.245734882
## 1409          90   -0.445493933     0.150506173     -0.82567665     0.560527511
## 1410         102    0.011025502    -0.315598489     -0.54326141     0.278870948
## 1411         102   -0.023043112    -0.845262877      1.43364529    -1.261956130
## 1412          73   -0.772552633    -0.336785064     -0.61386522    -0.069057747
## 1413          85   -0.500003716    -0.739329999      1.18653195    -1.212252030
## 1414          52   -0.574954668    -0.209665611     -0.04903473    -0.947163501
## 1415          81   -0.615837006    -0.357971640     -0.33144998     0.394847180
## 1416         108    0.944505541    -1.057128632      0.86881480    -1.344796295
## 1417          83    0.508427275     0.065759871      0.55109766    -1.079707765
## 1418         110    0.944505541     0.997969194      0.23338051     1.985378357
## 1419          38    2.075583544    -0.506277668      1.43364529    -1.328228262
## 1420          87   -0.138876402     0.214065900     -0.64916712     1.272952934
## 1421          84   -1.746915009    -0.802889726     -0.86097856     0.096622584
## 1422          81   -0.479562547    -1.544419869      0.93941861    -0.980299567
## 1423          54   -1.269954405    -0.866449452     -1.24929951     0.643367676
## 1424          85    0.399407708     0.002200144      0.40989003    -0.151897912
## 1425          95    1.366956362     2.184417424     -0.93158237     2.316739019
## 1426          92    0.167741129     0.913222892     -0.71977094     1.803129993
## 1427          92   -0.561327222    -0.103732733     -0.68446903     1.123840636
## 1428          67   -0.152503848     1.082715496     -0.75507284     0.775911941
## 1429          92   -0.281964583     0.341185353     -0.89628046     0.726207842
## 1430          56   -0.418239041     0.108133022      0.12747479    -0.814619236
## 1431          85   -0.070739173     0.997969194     -0.64916712     0.643367676
## 1432          73   -0.356915535    -0.082546158     -0.93158237     0.577095544
## 1433         101    1.005829047    -1.078315208      1.43364529    -0.947163501
## 1434          80   -0.465935102    -0.972382330     -0.19024236    -0.549530706
## 1435          92   -0.513631162    -0.527464244     -0.57856331     0.974728338
## 1436         114   -1.120052501    -1.438486992     -0.15494045    -1.411068427
## 1437          75   -0.309219475    -0.887636028     -0.86097856     0.295438981
## 1438          89    0.263133250     1.421700705     -0.93158237     2.250466886
## 1439          85    0.474358660     0.997969194     -0.86097856     1.289520967
## 1440          82   -1.249513236    -0.760516575     -0.40205379     0.461119312
## 1441          73    1.469162205    -0.739329999     -0.86097856    -1.643020891
## 1442          88   -0.513631162    -0.908822603     -0.54326141     0.925024239
## 1443          79   -0.554513499    -0.972382330     -0.68446903     0.809048007
## 1444          95    1.087593722     1.845432215      0.44519194     0.693071776
## 1445          66   -0.936081982    -0.294411913     -0.29614807    -0.218170045
## 1446          77   -0.867944753    -0.103732733     -0.26084617    -0.416986442
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## 1448          81   -0.350101812    -0.018986431     -0.71977094    -0.400418409
## 1449          98    1.005829047     0.531864533      0.79821099     0.030350452
## 1450          90    1.053525108    -1.184248085      1.36304148    -0.814619236
## 1451         108    2.981808691     1.103902072      1.96317387    -1.129411865
## 1452          89   -0.479562547    -0.018986431     -0.04903473     0.278870948
## 1453          94    1.244309349    -0.379158215      0.79821099    -1.328228262
## 1454          65   -0.792993801    -0.124919309     -0.33144998     0.991296371
## 1455          98    0.671956625     1.294581252     -0.68446903     1.554609496
## 1456          81   -0.581768391    -0.718143424     -0.75507284    -0.102193813
## 1457          61   -1.440297478    -1.184248085     -0.86097856    -0.035921681
## 1458          77   -0.404611595    -0.082546158     -1.00218618     0.063486518
## 1459          72   -1.099611332     0.510677957     -1.24929951     0.726207842
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## 1461          93   -0.111621510     0.341185353     -0.29614807     0.659935709
## 1462          82   -0.384170427    -0.273225337      1.08062624    -1.030003666
## 1463          67   -0.806621247     0.383558504     -0.93158237     1.670585728
## 1464          69    0.317643033     1.781872489     -0.22554426     0.278870948
## 1465         103    1.271564241     1.591193309      1.57485291    -1.030003666
## 1466          98    0.692397793    -0.527464244      1.71606053    -1.162547931
## 1467          65   -0.500003716    -0.654583697     -0.22554426     0.146326683
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## 1471          70   -0.097994064     0.637797410     -0.64916712     0.941592272
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## 1481          75   -0.431866487     0.341185353     -1.03748808     1.206680802
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## 1483          92   -0.418239041    -0.273225337     -0.75507284     0.444551279
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## 1485          88   -0.261523414     1.294581252     -1.10809189     1.206680802
## 1486         101    1.898426749     1.993738244      1.96317387    -0.267874144
## 1487          93    1.203427012     1.887805366      0.83351290    -0.267874144
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## 1490          77   -0.506817439    -0.845262877     -1.28460142     0.527391445
## 1491          83    1.721269953    -0.612210546      2.21028721    -1.079707765
## 1492          75    0.031466671     1.125088647     -0.19024236     0.643367676
## 1493          89   -0.677160512    -0.442717942     -0.43735569    -0.035921681
## 1494          86   -1.344905357    -1.120688359      0.05687098    -1.311660229
## 1495          62   -0.929268260     0.319998777     -1.07278999     1.024432437
## 1496          89   -0.895199645    -0.696956848     -1.10809189     1.190112768
## 1497          79   -0.275150860    -0.633397121      0.12747479    -1.212252030
## 1498          82    0.413035154    -1.078315208     -0.64916712     0.196030783
## 1499          79    0.317643033     0.955596043     -0.19024236    -0.151897912
## 1500         108    1.605436663    -0.357971640      0.26868241    -0.284442177
## 1501          55    0.556123335    -0.018986431      0.58639956    -1.030003666
## 1502          78   -0.234268523    -0.506277668     -0.33144998    -0.996867600
## 1503          84    0.113231346     1.358140978     -1.07278999     0.444551279
## 1504          68   -0.663533066    -0.802889726     -0.86097856    -0.069057747
## 1505          80   -0.445493933    -1.290180963     -0.40205379    -0.317578243
## 1506          73   -1.011032934    -0.315598489     -0.33144998    -1.344796295
## 1507          35   -0.956523151    -0.654583697      1.92787196    -1.129411865
## 1508          97    1.414652422     0.489491382      0.33928622     0.262302915
## 1509          85    0.351711648    -0.209665611     -0.19024236     2.200762787
## 1510          84   -0.193386185     1.061528921     -0.82567665     1.123840636
## 1511          84   -0.036670558     0.108133022     -0.04903473     0.312007014
## 1512         107    1.741711122    -0.993568905      0.40989003    -1.576748758
## 1513          65   -0.874758476    -0.824076301     -0.50795950    -0.035921681
## 1514          97   -0.431866487    -0.951195754      0.12747479     0.991296371
## 1515          82    1.326074024     1.675939611     -0.08433664     1.024432437
## 1516          96    1.591809218     0.468304806      0.12747479     0.510823412
## 1517          77   -0.193386185     1.209834950     -0.96688427     0.643367676
## 1518         102   -0.077552896    -0.781703150     -0.40205379     1.604313596
## 1519          76   -0.786180078    -0.315598489     -0.75507284    -0.019353647
## 1520          63    0.508427275     0.743730288     -1.24929951     0.610231610
## 1521          81   -0.861131030    -1.057128632     -0.79037475    -0.019353647
## 1522         135    2.205044280     2.756454963      0.12747479    -0.880891368
## 1523         106    1.768966013     2.671708661      0.02156908    -0.350714309
## 1524          69    0.222250912     0.489491382     -0.68446903    -0.069057747
## 1525          80   -1.535689599    -1.311367538     -0.04903473     0.378279147
## 1526          72   -0.949709428    -0.442717942     -0.68446903     0.096622584
## 1527          62   -1.522062153    -0.887636028     -0.96688427     0.427983246
## 1528          96   -0.043484281     0.743730288     -0.43735569     0.759343908
## 1529         100    0.515240998    -0.188479035      0.33928622     1.819698026
## 1530          77   -0.159317571    -0.400344791      0.16277670    -1.245388096
## 1531         100    1.271564241     2.120857697     -1.14339380     1.654017695
## 1532          76   -0.452307656     0.489491382     -0.36675188     0.626799643
## 1533          65   -0.609023283    -0.124919309     -0.79037475     0.925024239
## 1534          92    0.413035154     0.892036317     -0.08433664     0.941592272
## 1535          64   -0.786180078    -0.781703150     -1.03748808     0.262302915
## 1536          84   -0.867944753     0.108133022     -1.28460142     0.991296371
## 1537          70   -0.758925187    -1.502046718      1.36304148    -0.897459401
## 1538          77   -1.160934839    -1.565606445      0.51579575    -1.460772527
## 1539          80   -1.079170164    -1.290180963      0.30398432    -1.427636460
## 1540          74   -0.745297741    -0.336785064     -0.61386522     1.206680802
## 1541          74   -0.418239041     0.129319598     -0.68446903     0.477687345
## 1542          97   -0.445493933    -0.252038762      1.78666434    -0.698643004
## 1543          88   -0.036670558     0.277625626     -0.50795950     0.742775875
## 1544          57   -0.854317308    -0.188479035     -0.64916712    -0.019353647
## 1545          61   -0.609023283    -0.908822603      1.01002242    -0.615802839
## 1546          92    0.222250912     0.086946446     -0.75507284     0.577095544
## 1547          87    0.215437190    -0.506277668     -0.33144998    -0.251306111
## 1548          98    0.276760696     0.510677957      1.46894719    -0.880891368
## 1549          68   -0.738484018     1.675939611     -0.96688427     0.527391445
## 1550          83    0.440290046    -1.141874934     -0.64916712     0.378279147
## 1551          77   -0.097994064    -0.569837395     -0.01373283     0.925024239
## 1552          60   -0.009415667    -1.417300416      0.65700337    -1.328228262
## 1553         110   -0.288778306    -1.311367538      0.02156908    -0.930595468
## 1554          76   -0.609023283     0.976782619     -0.96688427     1.571177530
## 1555          90    1.039897662     1.739499338     -0.82567665     2.018514423
## 1556          86   -0.459121379    -0.294411913     -0.54326141     0.560527511
## 1557          95    0.992201601     1.781872489     -0.79037475     1.935674258
## 1558          91   -0.390984150     1.146275223     -0.36675188     0.560527511
## 1559          91    0.208623467     1.548820158     -0.79037475     1.388929166
## 1560          87    0.733280131     1.675939611      0.86881480     0.146326683
## 1561          78   -0.956523151     0.065759871     -1.35520523    -0.151897912
## 1562          74    0.760535022     0.383558504      0.93941861    -0.499826607
## 1563          82   -0.275150860     0.658983986     -1.10809189     1.024432437
## 1564          96   -0.547699777    -0.463904517     -1.10809189     0.709639809
## 1565          65    0.712838962     0.595424259      1.39834338    -0.549530706
## 1566          74    0.154113683     1.167461798     -1.00218618     1.488337364
## 1567          88   -0.254709691     0.468304806     -1.10809189     1.239816868
## 1568         117   -0.207013631    -0.908822603     -0.50795950     1.074136537
## 1569          68   -0.622650729     0.680170561     -0.89628046     1.819698026
## 1570          79    0.590191950     0.807290014     -0.36675188    -0.334146276
## 1571          97   -0.043484281     1.103902072     -1.14339380     1.140408669
## 1572         102    0.883182035     0.637797410      0.26868241     0.693071776
## 1573          70   -1.651522888    -1.311367538     -0.79037475     0.610231610
## 1574          47   -0.009415667    -0.633397121      0.97472052    -1.510476626
## 1575          97   -0.588582114    -0.548650819      1.29243767    -1.295092196
## 1576          66   -1.195003453    -1.120688359     -0.71977094    -0.002785614
## 1577         103   -0.016229389    -0.463904517     -0.19024236     0.792479974
## 1578         101    0.780976191    -0.845262877      0.19807860    -0.499826607
## 1579          90   -1.051915272    -0.760516575     -0.64916712     0.543959478
## 1580          80    1.326074024     1.315767827      0.97472052    -0.715211037
## 1581          85   -0.063925450    -1.502046718      2.24558911    -1.046571699
## 1582          70   -0.520444885     0.023386720     -0.47265760     0.792479974
## 1583          73   -0.404611595    -0.972382330     -0.43735569    -0.532962673
## 1584          56   -1.583385659    -1.078315208     -0.71977094     0.643367676
## 1585          79   -0.220641077    -1.862218502      1.43364529    -1.394500394
## 1586          90   -0.077552896     0.701357137     -0.82567665     1.753425894
## 1587          94   -0.275150860    -0.781703150      0.19807860     0.312007014
## 1588          86   -0.063925450     0.341185353     -0.71977094     1.090704570
## 1589          89   -0.534072331    -1.565606445      0.90411671    -0.847755302
## 1590         101   -0.445493933     0.277625626     -1.10809189     0.908456206
## 1591          71    0.719652685     0.447118230      0.16277670    -0.433554475
## 1592         107    0.038280394    -0.972382330      0.72760718    -1.444204494
## 1593          78    0.290388142     0.976782619     -0.82567665     0.709639809
## 1594          98    0.978574156     2.798828114     -1.07278999     2.035082456
## 1595         106    1.707642507     3.434425380      1.71606053    -1.162547931
## 1596          74    0.208623467     0.065759871      0.44519194    -0.715211037
## 1597          65   -1.726473840    -1.692725898     -0.64916712     0.427983246
## 1598          93    0.208623467     1.527633582     -0.93158237     1.803129993
## 1599          91    2.034701207     0.447118230      1.82196625    -0.731779070
## 1600          74    0.392593985    -0.760516575     -0.29614807     1.422065232
## 1601          96   -1.181376007    -0.548650819     -0.47265760    -0.615802839
## 1602          94    1.053525108     0.023386720      1.61015482    -1.112843832
## 1603          93    1.271564241     0.574237684      0.44519194     0.146326683
## 1604          82    0.392593985    -0.040173007     -0.33144998    -0.301010210
## 1605          76   -0.261523414     0.383558504     -0.79037475     0.510823412
## 1606          51    2.007446315    -1.290180963      0.90411671    -1.344796295
## 1607          85   -0.322846920     0.362371928     -0.71977094     1.604313596
## 1608          73    1.319260301     1.760685913      0.19807860     1.885970158
## 1609          90    0.665142902     1.633566460     -0.36675188     0.925024239
## 1610          96    0.780976191     0.171692749      1.57485291    -0.864323335
## 1611          73   -0.172945016     0.044573295     -0.19024236    -0.400418409
## 1612          60   -1.133679947    -0.866449452     -1.24929951     0.162894717
## 1613          77    1.189799566     0.849663166     -1.00218618     0.842184073
## 1614          93    0.413035154     0.510677957     -0.61386522     1.223248835
## 1615          74   -0.275150860     0.065759871     -0.75507284     0.494255378
## 1616          65   -0.036670558    -1.989337955     -0.82567665    -1.593316791
## 1617          89   -0.002601944     0.192879324      0.19807860     0.179462750
## 1618          85   -0.438680210    -1.184248085     -0.11963855    -0.035921681
## 1619          74    0.753721300     0.616610835      1.01002242    -0.731779070
## 1620          88   -0.588582114    -0.357971640     -0.36675188     1.322657033
## 1621          76    0.249505804     1.908991942     -0.61386522     1.007864404
## 1622         101    0.910436926     0.256439051      0.02156908     1.041000471
## 1623          78   -0.227454800    -0.400344791     -0.40205379    -0.433554475
## 1624          75    0.045094117     1.336954403     -0.71977094     2.117922622
## 1625          65   -1.160934839    -1.120688359     -0.47265760    -0.035921681
## 1626          78    0.092790177     0.468304806     -0.64916712     0.030350452
## 1627         106    0.099603900    -1.374927265      1.04532433    -1.129411865
## 1628          84   -0.288778306     1.548820158     -0.54326141     0.560527511
## 1629          51   -0.806621247    -0.591023970      0.55109766    -1.261956130
## 1630         113    2.865975402     0.108133022      1.57485291    -1.460772527
## 1631          99    1.598622940     1.591193309      1.68075863    -0.648938905
## 1632          93    0.331270479     0.574237684     -1.03748808     1.438633265
## 1633         109    0.937691818     0.108133022      0.97472052    -1.096275799
## 1634          65   -0.847503585    -0.018986431     -0.43735569    -0.334146276
## 1635          87   -0.268337137     0.976782619     -1.24929951     2.250466886
## 1636          87   -0.493189993    -0.209665611     -0.54326141    -0.516394640
## 1637          84   -0.138876402    -0.103732733     -0.86097856     0.162894717
## 1638          67   -0.847503585    -0.718143424      0.51579575    -1.179115964
## 1639          82    1.360142639     1.146275223      0.90411671    -0.996867600
## 1640          88   -0.595395837    -0.612210546     -0.22554426     0.494255378
## 1641          48   -0.207013631     0.171692749     -0.43735569    -0.764915137
## 1642          83    0.229064635    -1.035942057      1.53955100    -1.295092196
## 1643          92   -0.207013631    -0.040173007     -0.11963855    -0.532962673
## 1644          66   -0.983778043     0.489491382     -1.10809189     0.427983246
## 1645          75    1.496417097    -0.061359582      1.39834338    -0.914027435
## 1646          51    0.038280394    -0.908822603      1.43364529    -1.295092196
## 1647          83    0.937691818     1.188648374     -0.64916712     2.018514423
## 1648          55   -0.288778306     1.231021525     -0.71977094     0.577095544
## 1649          76    0.065535285    -0.252038762      0.69230528    -1.261956130
## 1650          52   -1.276768128    -1.226621236     -0.33144998    -1.195683997
## 1651          68   -0.077552896    -0.315598489      2.10438149    -1.261956130
## 1652          46   -1.269954405    -0.972382330      0.76290909    -1.361364328
## 1653          83   -1.447111201    -1.374927265      0.65700337    -1.129411865
## 1654          55   -0.350101812    -0.527464244      0.58639956    -1.096275799
## 1655          89   -0.002601944    -0.591023970     -0.61386522    -0.069057747
## 1656          92   -0.186572462    -0.612210546      1.61015482    -1.344796295
## 1657          83    0.072349008    -0.400344791     -0.54326141     0.626799643
## 1658          76    1.257936795     1.442887280      0.83351290    -0.019353647
## 1659          92   -0.193386185    -1.374927265      2.06907958    -0.118761846
## 1660          86   -0.445493933    -0.082546158     -0.71977094     0.742775875
## 1661         100    1.489603374     1.739499338      1.18653195     0.245734882
## 1662          64   -1.024660380    -0.294411913     -0.89628046    -0.185033978
## 1663          62   -0.697601681    -0.569837395     -0.50795950     0.510823412
## 1664          66   -1.072356441    -1.629166171      0.65700337    -1.444204494
## 1665          79   -0.615837006     0.680170561     -1.03748808     1.024432437
## 1666          82   -0.152503848    -0.103732733     -0.57856331     0.378279147
## 1667          51   -2.053532540    -1.798658776     -0.71977094    -0.052489714
## 1668          85    1.605436663     1.061528921      1.15123005    -0.764915137
## 1669          83   -0.758925187    -0.633397121     -0.47265760     0.345143081
## 1670          91   -0.731670295     0.298812202     -1.35520523     0.610231610
## 1671          77    0.222250912     0.362371928      0.83351290    -0.996867600
## 1672          70   -0.043484281     0.828476590     -0.50795950     0.693071776
## 1673          85   -1.338091634    -1.480860143     -0.64916712     0.262302915
## 1674          83    0.201809744     1.379327554     -0.82567665     0.477687345
## 1675          83    0.692397793     1.803059064     -0.89628046     0.146326683
## 1676          79   -0.854317308    -0.739329999      0.58639956    -0.930595468
## 1677         101    1.605436663     0.468304806      0.86881480    -0.151897912
## 1678         111    0.958132987    -1.035942057      1.39834338    -1.477340560
## 1679          63    0.201809744     0.319998777      0.83351290    -0.996867600
## 1680          77   -0.561327222     0.531864533     -1.14339380     0.991296371
## 1681          86   -0.418239041     0.510677957     -0.96688427     1.852834092
## 1682          96    0.031466671    -0.548650819     -0.61386522     0.378279147
## 1683          66   -0.016229389    -0.887636028     -0.26084617     0.461119312
## 1684          65    0.453917491    -0.252038762      1.39834338    -1.228820063
## 1685          79    0.481172383    -0.230852186      0.23338051    -0.350714309
## 1686         100    0.167741129     0.976782619     -1.03748808     1.173544735
## 1687          77   -0.718042849    -0.739329999     -0.08433664     0.759343908
## 1688          80    0.835485974     0.701357137      0.37458813    -0.715211037
## 1689          88    0.263133250    -0.230852186     -0.01373283     0.742775875
## 1690          87    0.365339094     0.531864533     -0.11963855     0.610231610
## 1691          89   -0.002601944    -0.209665611     -0.54326141    -1.212252030
## 1692          81    0.133672515     0.637797410     -0.64916712     0.196030783
## 1693          91   -0.104807787     0.574237684     -0.86097856     0.560527511
## 1694         108    0.310829310     0.786103439     -0.64916712     0.411415213
## 1695         102    0.542495889     1.231021525      0.76290909     0.775911941
## 1696         106    1.128476060     2.756454963      0.79821099    -0.599234806
## 1697          92    1.918867917    -0.527464244      1.29243767    -0.897459401
## 1698          83   -0.193386185     0.595424259     -0.82567665     0.577095544
## 1699          73   -1.106425055    -0.696956848     -0.68446903    -0.052489714
## 1700          71    1.387397530     1.760685913      0.23338051    -0.930595468
## 1701          56   -0.806621247    -0.527464244      0.02156908    -1.311660229
## 1702          85    1.101221168     1.421700705     -0.86097856     1.819698026
## 1703          80   -0.241082246    -0.167292460     -0.19024236    -0.069057747
## 1704          88    0.671956625     1.125088647     -1.10809189     1.306089000
## 1705          86    0.753721300     2.459842906     -0.79037475     1.504905397
## 1706          85    0.576564504     0.277625626      1.64545672    -0.914027435
## 1707          66   -0.833876139    -2.349509739     -0.15494045    -1.543612692
## 1708          76   -1.017846657    -0.527464244     -0.40205379     0.659935709
## 1709          54   -0.172945016    -0.930009179      0.65700337    -1.096275799
## 1710         118    0.876368312     0.383558504      2.06907958    -0.499826607
## 1711          81   -0.697601681     1.485260431     -0.82567665     0.295438981
## 1712          69   -0.806621247     0.468304806     -0.40205379    -0.334146276
## 1713          82    0.637888010    -1.099501783      1.22183386    -1.145979898
## 1714         112    3.438328127     1.315767827      0.93941861    -1.245388096
## 1715          86    1.210240735     1.612379885      1.01002242     0.891888173
## 1716          69   -0.316033198     0.298812202     -1.17869570     1.057568504
## 1717          90    0.079162731     1.188648374     -0.04903473     0.693071776
## 1718         106    0.481172383     0.319998777      0.26868241     0.991296371
## 1719          95    0.392593985     2.311536877     -0.68446903     1.140408669
## 1720          49   -0.452307656     0.489491382      0.05687098    -1.079707765
## 1721         115    1.298819132    -0.188479035      1.82196625    -0.483258574
## 1722         106    0.283574419     0.828476590     -0.54326141    -0.085625780
## 1723          93   -0.711229126    -0.739329999      1.64545672    -0.615802839
## 1724          88    0.372152816    -0.146105884      0.40989003    -0.185033978
## 1725          78    0.522054721     0.341185353      1.92787196    -1.129411865
## 1726          53   -0.731670295     0.256439051     -0.75507284    -0.069057747
## 1727         103   -1.208630899    -1.078315208     -0.57856331     1.422065232
## 1728          85   -0.718042849    -1.904591653      2.06907958    -0.980299567
## 1729          92    1.782593459     0.722543712      1.32773957    -0.185033978
## 1730          69   -1.869562021    -1.692725898     -1.14339380     0.096622584
## 1731          84    0.419848877     0.807290014     -1.07278999     1.024432437
## 1732          65    0.992201601     1.570006734      0.30398432    -1.046571699
## 1733          67   -1.610640551    -1.523233294     -0.79037475    -0.466690541
## 1734         112    0.181368575     0.976782619      1.22183386    -1.129411865
## 1735         108    0.828672252    -0.018986431      1.53955100    -1.261956130
## 1736         122    6.150189845     2.989507294      3.55175961    -0.781483170
## 1737          83   -0.247895968     0.404745079     -0.33144998     0.378279147
## 1738          70    0.760535022    -1.141874934      2.28089102    -1.444204494
## 1739          82   -0.895199645    -0.040173007     -0.86097856    -0.052489714
## 1740          79   -0.561327222    -0.993568905      1.36304148    -1.278524163
## 1741          90    1.387397530    -0.400344791      0.02156908    -1.295092196
## 1742          97    0.447103769     1.336954403     -0.40205379     2.101354589
## 1743          77    0.051907840     0.277625626     -0.33144998     0.013782419
## 1744          79   -0.091180341     0.319998777      0.19807860     0.129758650
## 1745          89    0.522054721     0.574237684      0.09217289     1.123840636
## 1746          56   -0.922454537    -1.226621236     -0.11963855    -1.096275799
## 1747          74   -0.241082246    -0.951195754     -1.31990333     0.858752107
## 1748          56   -0.861131030    -1.141874934      0.05687098    -0.251306111
## 1749          79   -0.752111464    -1.205434661      0.48049385    -1.228820063
## 1750          79    0.249505804     1.739499338     -1.14339380     1.571177530
## 1751          90    1.482789651     1.908991942      0.86881480    -1.030003666
## 1752          98    0.120045069     0.404745079     -0.64916712     1.107272603
## 1753          43    0.542495889    -0.760516575      1.46894719    -1.361364328
## 1754          93    0.113231346    -0.591023970      0.72760718    -1.013435633
## 1755          90    0.092790177     0.658983986      0.93941861    -1.013435633
## 1756          39    1.026270216    -0.845262877     -0.40205379    -1.643020891
## 1757          94   -0.261523414    -0.527464244     -0.96688427     0.792479974
## 1758          89    0.079162731    -0.357971640     -0.64916712     1.405497199
## 1759          58   -0.568140945    -1.671539322     -0.71977094    -0.218170045
## 1760          96    0.338084202     0.997969194     -0.36675188     0.610231610
## 1761          71    0.045094117     0.235252475     -0.40205379     0.046918485
## 1762          91   -0.786180078    -0.845262877     -0.57856331     0.676503743
## 1763          70    0.188182298     1.082715496      0.19807860     0.411415213
## 1764          91   -0.350101812    -0.315598489     -1.00218618     0.278870948
## 1765          71   -0.731670295    -0.696956848      0.09217289    -1.361364328
## 1766          97    0.494799829    -0.548650819      2.35149483    -0.914027435
## 1767          88    0.358525371     0.701357137     -0.82567665     0.991296371
## 1768          92   -0.670346789    -0.866449452     -0.75507284    -0.135329879
## 1769          72   -1.045101549    -0.824076301     -0.79037475     0.577095544
## 1770          51    0.065535285    -1.374927265      2.35149483    -1.096275799
## 1771          81   -0.091180341     0.002200144     -0.43735569     0.262302915
## 1772          92   -0.874758476    -0.463904517     -0.08433664     0.726207842
## 1773          65   -0.942895705    -0.230852186     -1.21399761    -0.416986442
## 1774          54    0.828672252     0.192879324     -0.08433664    -0.102193813
## 1775          69    0.583378227     0.637797410      0.97472052    -1.046571699
## 1776          63    0.706025239     1.336954403     -0.61386522     0.593663577
## 1777          61   -1.494807261    -1.332554114     -0.54326141     0.146326683
## 1778         110    6.995091486     0.913222892      1.04532433    -1.394500394
## 1779          75    0.085976454     0.553051108     -0.19024236     0.179462750
## 1780          96   -0.486376270     1.612379885     -1.10809189     1.272952934
## 1781          61   -1.235885791    -1.332554114     -1.14339380    -0.267874144
## 1782          98    0.058721563     1.167461798      1.01002242    -1.179115964
## 1783          86    0.733280131     0.192879324      0.37458813    -0.367282342
## 1784          85   -0.745297741     0.108133022     -0.96688427     1.024432437
## 1785          98    0.501613552    -0.421531366      1.85726815    -1.311660229
## 1786          88    0.597005673     1.231021525     -0.93158237     2.614963615
## 1787          88   -0.200199908    -0.040173007     -0.54326141     0.245734882
## 1788          38   -1.269954405    -1.311367538      0.48049385    -1.311660229
## 1789         100    0.726466408     0.553051108     -0.29614807     1.405497199
## 1790          84    0.658329179     0.192879324     -0.29614807    -0.168465945
## 1791          62    0.562937058     0.807290014      0.51579575    -0.350714309
## 1792          99    0.910436926     1.951365093     -0.82567665     0.875320140
## 1793          80    1.898426749     1.146275223      1.15123005    -0.764915137
## 1794          87   -0.036670558    -0.315598489     -0.57856331     0.659935709
## 1795          92   -0.534072331    -0.866449452      0.83351290    -0.897459401
## 1796          97    2.402642244     3.201373049      1.36304148     0.162894717
## 1797          87   -0.316033198     0.404745079     -0.26084617    -0.682074971
## 1798          67   -0.404611595    -0.082546158     -0.26084617    -0.218170045
## 1799          79   -1.113238778    -0.802889726     -0.96688427     0.643367676
## 1800          89   -0.745297741    -0.548650819     -0.82567665     0.345143081
## 1801          89   -0.397797872    -0.548650819     -1.17869570     0.775911941
## 1802          63   -1.569758213    -1.946964804      0.40989003    -1.361364328
## 1803          87   -0.520444885    -0.591023970     -0.89628046     0.560527511
## 1804          88   -0.145690125     0.701357137     -0.96688427     0.891888173
## 1805          77   -0.370542981     0.341185353     -0.93158237     0.974728338
## 1806          87   -0.602209560    -0.146105884     -0.64916712     1.620881629
## 1807          77    0.528868443     1.485260431     -1.00218618     1.455201298
## 1808          71    0.351711648     0.892036317     -0.36675188     1.140408669
## 1809          94   -1.160934839    -0.294411913     -0.61386522     0.427983246
## 1810          73   -0.016229389     0.002200144      0.86881480    -0.864323335
## 1811          79   -0.261523414    -0.696956848     -1.35520523     0.577095544
## 1812          84    0.351711648     0.383558504     -0.82567665     1.024432437
## 1813          68   -1.079170164    -1.819845351      1.43364529    -1.295092196
## 1814          89    0.992201601     0.637797410      0.23338051     0.328575048
## 1815          81   -0.724856572    -0.633397121     -0.89628046     0.842184073
## 1816          76   -0.390984150     0.171692749     -0.75507284     1.206680802
## 1817          88    1.523671988     0.065759871      0.51579575    -0.532962673
## 1818          93   -0.779366356    -0.357971640     -0.71977094    -0.532962673
## 1819          67   -0.425052764    -0.485091093     -0.50795950    -0.632370872
## 1820          82    0.085976454     1.188648374     -0.50795950     0.046918485
##      TEAM_BATTING_SO TEAM_BASERUN_SB TEAM_PITCHING_H TEAM_PITCHING_BB
## 1        0.158625814    -0.941332112   -0.2722692482     -0.151295383
## 2       -0.444998404     1.086458452    0.0845853007     -0.764768281
## 3       -0.978815740    -0.653293680   -0.0306634447     -0.231562865
## 4        1.452106281     0.256907766   -0.2771291351     -0.099694859
## 5        0.294133291    -1.021982873   -0.2625494745     -0.833568980
## 6        0.343408738     0.072563170   -0.2278359970     -0.351964088
## 7       -1.040410048    -0.445906009   -0.1452179205     -0.621433492
## 8        0.741718596     1.397539959   -0.2792119437     -0.455165136
## 9       -0.896689996    -0.918289038   -0.2347786925     -0.380631046
## 10       1.591720045     0.291472378   -0.1882626326     -0.334763913
## 11      -1.307318715     0.556467736   -0.1542434246     -0.885169504
## 12      -1.315531290    -0.010832349    0.7691350775     -0.053827726
## 13      -1.471570203     1.662535316    0.0894451876      1.173118070
## 14       0.051862347    -0.180910651   -0.2306130752      0.049373322
## 15      -0.157558300    -0.411341397   -0.1896511717      0.055106714
## 16      -1.976643528     4.934651908    0.4497710843      0.318842726
## 17      -0.161664588    -0.826116739   -0.1417465727      0.978182756
## 18      -2.021812688    -0.010832349    1.4356338460     -2.341450962
## 19       1.472637717    -0.607207531   -0.2417213880     -0.472365311
## 20       1.263217070    -0.699379829   -0.3035113780     -1.068638034
## 21       0.786887755    -0.192432188   -0.3000400303     -0.329030522
## 22       1.267323357    -0.238518337   -0.3167024995      0.072306888
## 23       0.055968634    -0.215475263   -0.1639631984     -0.157028774
## 24       1.419255983     0.061041632   -0.2118677973     -0.317563738
## 25       0.737612309     0.464295438   -0.2271417275     -0.501032269
## 26      -0.654419051    -0.860681351   -0.0008098540     -0.243029648
## 27       1.049690135     0.556467736   -0.1084216343      0.347509684
## 28      -0.030263397    -1.010461336   -0.2924030652      0.227108461
## 29       0.499447651     0.360601602   -0.2632437441      0.049373322
## 30       0.009178870     0.844506168    0.0838910312     -0.380631046
## 31       0.212007547    -1.125676709   -0.2306130752     -0.059561118
## 32      -0.900796283    -0.480470621   -0.0945362433     -0.736101323
## 33       0.454278492    -0.998939799   -0.2563010486      0.307375943
## 34      -0.350553799    -0.010832349    0.1873371942     -1.349574221
## 35       0.725293447    -0.065695278   -0.2167276842     -0.862235937
## 36      -0.847414549     0.648640034   -0.2208933015      0.267242202
## 37      -3.011427902    -0.010832349    2.5624333265     -1.791045372
## 38       0.009178870     0.925156929   -0.3930721500     -0.816368805
## 39      -0.847414549    -0.480470621   -0.0563514180     -0.495298877
## 40      -0.679056774    -0.111781427   -0.2500526226     -0.334763913
## 41      -0.280746916     0.717769258   -0.2639380136      0.100973846
## 42      -1.023984899     1.720143003    0.0845853007      0.611245696
## 43      -0.169877162    -0.780030590   -0.2139506060      0.691513178
## 44       0.536404236    -0.203953726   -0.2444984662     -0.472365311
## 45       0.630848841    -0.284604487   -0.2500526226     -0.403564612
## 46      -0.059007408    -0.261561412   -0.2271417275     -0.317563738
## 47       0.696549437    -0.687858292   -0.1875683631     -0.317563738
## 48      -1.118429504    -0.457427546   -0.0889820869      0.433510557
## 49       0.125775516    -0.756987516   -0.2174219537     -0.581299751
## 50       0.659592852    -0.561121382   -0.2486640835     -0.030894160
## 51      -0.210940034    -0.457427546   -0.2611609354     -0.082494684
## 52       1.316598803    -0.630250605   -0.3250337341      0.903648666
## 53      -0.395722958    -0.733944441   -0.1917339804      0.938049015
## 54      -0.231471470    -0.010832349    0.1880314638     -0.386364437
## 55       0.351621312     0.591032348   -0.2285302666      0.169774545
## 56      -1.011666037    -0.157867576   -0.1209184862     -0.116895033
## 57       0.971670679    -0.169389114   -0.2181162233     -0.157028774
## 58       1.193410187     1.259281511   -0.2986514912      0.129640804
## 59       0.009178870     0.671683109   -0.2979572216     -1.349574221
## 60       1.776502969    -0.987418262   -0.1903454413      1.184584853
## 61      -1.368913023     1.409061496   -0.0744024263     -0.329030522
## 62      -0.026157110    -0.111781427   -0.3014285694     -0.403564612
## 63       1.341236526     0.130170856   -0.1264726426      0.049373322
## 64      -1.537270798    -0.010832349    0.8024600159     -1.269306739
## 65      -0.929540293    -0.641772143   -0.1153643298     -0.191429124
## 66       0.355727599     0.268429304   -0.1958995977      0.250042027
## 67       1.246791921    -0.687858292   -0.2417213880      0.697246569
## 68      -0.034369684     0.003433946   -0.2104792582     -0.220096082
## 69       0.105244080    -0.226996800   -0.1285554513      0.095240455
## 70       0.109350367    -0.480470621   -0.1500778073      1.161651286
## 71      -0.239684044     0.936678467   -0.1368866859     -0.145561991
## 72       0.790994042    -0.226996800   -0.3257280036      0.026439756
## 73      -0.683163062    -0.895245963   -0.2222818406     -0.197162515
## 74      -1.520845650     1.155587675    0.0269609280     -0.300363564
## 75       0.745824883    -0.733944441   -0.3132311517     -0.208629299
## 76       0.478916215    -0.284604487    0.0470947450      0.628445871
## 77      -1.245724407     1.132544601    0.2352417932      1.356586600
## 78      -0.494273850     0.279950841   -0.2111735278      0.720180136
## 79       0.009178870     0.913635392   -0.1528548855     -0.558366184
## 80      -0.945965442    -0.756987516    0.0408463190      1.236185377
## 81       1.517806876    -0.699379829   -0.2195047624     -0.254496431
## 82       0.166838388    -1.045025948   -0.2847661001     -0.071027901
## 83      -0.662631626     3.194899777    0.0665342924      0.897915274
## 84      -1.561908522     0.210821617    0.0734769879     -0.495298877
## 85      -0.403935532    -0.457427546   -0.2750463264     -0.042360943
## 86       1.788821831    -0.849159814   -0.1965938672     -0.157028774
## 87       0.860800924    -0.434384471   -0.0875935478      0.381910033
## 88      -0.876158560    -0.607207531   -0.0841222000      0.336042900
## 89      -1.196448961    -0.860681351   -0.0209436710      0.072306888
## 90       0.326983589    -0.964375187   -0.2694921700     -0.650100449
## 91       0.487128790     0.349080065   -0.2417213880     -0.093961467
## 92      -0.633887615    -1.137198246   -0.0271920969      0.267242202
## 93       0.236645271     0.210821617   -0.2687979005      0.639912654
## 94      -1.003453463     0.372123139   -0.0244150187      1.110050762
## 95      -0.904902570     0.994286153    3.4226332995      9.262933574
## 96       0.084712644    -0.468949083   -0.3257280036     -0.271696606
## 97       1.349449101    -0.687858292   -0.3000400303     -0.048094335
## 98       1.053796423     0.164735468   -0.3257280036      0.376176641
## 99       1.337130239     0.014955483   -0.2785176742     -0.254496431
## 100      1.587613758    -0.123302964   -0.2861546392     -0.162762166
## 101     -0.178089736     0.752333870   -0.2778234046     -0.512499052
## 102      0.684230575    -0.088738353   -0.0771795045      0.473644298
## 103      1.107178156    -0.503513695   -0.1729887025     -0.088228076
## 104     -1.081472920    -0.273082949   -0.0438545661      0.158307762
## 105      0.009178870     0.095606244   -0.2507468922     -0.936770028
## 106     -1.910942933     1.293846123    0.1262414738      0.106707238
## 107     -2.448866556    -1.206327470    3.6434110166     -1.292240305
## 108     -0.362872660    -0.768509053   -0.3007342998     -0.157028774
## 109     -0.149345726     0.533424661   -0.2354729621     -0.237296256
## 110     -1.385338172    -0.595685994   -0.0362176011     -0.971170377
## 111      0.561041959     0.786898482   -0.2340844230     -0.007960594
## 112     -0.366978947    -0.653293680   -0.1771543198      0.708713352
## 113      0.051862347     1.985138361    0.1845601160      1.866858449
## 114     -1.442826193    -0.238518337   -0.0938419738     -0.976903769
## 115      0.060074921    -0.365255248   -0.0070582799      0.989649539
## 116     -1.028091186    -0.572642919   -0.0251092883     -0.122628425
## 117     -0.851520837    -0.710901367   -0.1653517375      0.204174894
## 118     -1.093791781    -0.008087591   -0.2340844230      0.238575244
## 119      0.996308402    -0.745465978   -0.2528297008      0.553911780
## 120     -1.204661535    -0.010832349    0.9711675167     -0.695967582
## 121     -0.941859155     0.544946199   -0.2201990319     -0.071027901
## 122      0.240751558     0.061041632    0.3477134604      1.138717720
## 123      0.009178870     0.671683109   -0.2000652150     -0.420764787
## 124      0.097031506    -0.019609129   -0.1743772416     -0.059561118
## 125      0.240751558    -0.342212173   -0.2625494745     -0.495298877
## 126      0.729399734     0.383644677   -0.2667150918     -0.655833841
## 127     -0.925434006    -1.068069023   -0.1111987125     -0.718901148
## 128     -0.527124148     0.372123139   -0.2771291351     -0.609966708
## 129     -0.773501380    -0.964375187   -0.2014537541      0.462177515
## 130      0.009178870     0.925156929   -0.3055941867     -0.208629299
## 131      1.501381727    -0.319169098   -0.3340592382     -0.632900275
## 132      0.671911713    -0.780030590   -0.2479698140     -0.306096955
## 133      0.009178870     0.832984631   -0.2903202565     -0.472365311
## 134      0.671911713    -0.975896724   -0.1674345461     -0.082494684
## 135      0.125775516     0.026477020   -0.2361672316      0.278708985
## 136      0.807419191    -0.065695278   -0.1799313980     -0.214362690
## 137     -3.011427902    -0.010832349    3.2622570334     -2.209582956
## 138     -0.305384639     0.464295438    0.0332093540     -1.097304992
## 139     -1.438719906     0.418209288    0.0727827184     -0.380631046
## 140      1.193410187    -0.526556770   -0.2722692482     -0.030894160
## 141      0.359833886    -0.457427546   -0.2215875710     -0.162762166
## 142      1.135922167     0.256907766   -0.2104792582      0.238575244
## 143     -0.617462466     1.374496884   -0.1167528689      0.565378563
## 144     -0.974709452     2.872296732    0.2692610012      1.929925757
## 145      1.312492516     0.153213931   -0.1285554513      0.548178389
## 146      0.031330911     0.061041632   -0.2653265527     -0.655833841
## 147     -0.777607667    -0.445906009   -0.0987018606      0.209908286
## 148      0.864907212     0.176257005   -0.1202242167     -0.558366184
## 149      1.513700589    -0.768509053   -0.3326706991     -0.483832094
## 150      0.507660226    -0.549599844   -0.2750463264      0.387643425
## 151      0.741718596    -0.837638277   -0.3423904728     -0.592766534
## 152     -1.122535792     1.455147645   -0.1348038772     -0.701700974
## 153      1.181091326    -0.664815217   -0.2250589188      0.496577864
## 154     -0.843308262    -0.077216815   -0.1306382599      0.502311256
## 155      0.749931170     0.014955483   -0.1924282499     -0.013693985
## 156      0.692443149     0.141692393   -0.2528297008     -0.254496431
## 157      1.838097277    -0.941332112   -0.1820142067      0.083773671
## 158      1.267323357    -0.284604487   -0.3090655344      0.576845346
## 159      1.267323357    -0.607207531   -0.1820142067     -0.053827726
## 160     -0.403935532    -0.918289038   -0.2243646492      0.198441503
## 161      0.027224624    -0.353733710   -0.1709058939      1.087117196
## 162     -1.089685494    -0.733944441   -0.0459373748      0.250042027
## 163      1.760077820    -0.538078307   -0.2639380136     -0.128361817
## 164     -0.900796283     1.973616823   -0.1764600503      0.393376816
## 165      0.236645271    -0.826116739   -0.1299439904      0.290175768
## 166      0.179157250    -0.780030590   -0.3021228389      0.198441503
## 167      1.406937122    -0.538078307   -0.2681036309      0.181241328
## 168      1.209835336     0.061041632   -0.2757405960     -0.030894160
## 169      0.634955129    -0.710901367   -0.2806004828     -0.896636287
## 170      0.803312904    -0.538078307   -0.2535239704     -0.093961467
## 171     -1.253936982    -0.010832349    1.0350403154     -1.246373173
## 172      0.667805426    -0.134824502   -0.2146448755      0.198441503
## 173      0.009178870     1.581884555   -0.2035365627     -0.162762166
## 174     -0.991134601    -0.031130666   -0.1257783731     -0.128361817
## 175     -0.190408598     0.740812333   -0.1917339804      0.049373322
## 176     -0.054901120    -0.065695278   -0.1750715112      0.639912654
## 177     -0.137026864     1.213195362   -0.1674345461     -0.609966708
## 178      0.009178870     0.717769258   -0.2077021800     -0.661567233
## 179     -1.163598664     1.846879913    0.2345475236      1.087117196
## 180     -0.674950487     1.121023063   -0.1014789388      0.020706364
## 181     -3.011427902    -0.010832349    1.8126222119     -1.813978938
## 182     -0.999347176     1.305367660    0.1088847350     -0.478098702
## 183      1.148241028    -0.296126024   -0.1611861202      0.490844473
## 184     -0.941859155     1.109501526    0.0158526152      0.123907412
## 185     -0.867945985    -0.296126024    0.0387635104      0.129640804
## 186     -0.137026864    -0.814595202   -0.1042560170     -0.655833841
## 187     -0.720119646    -0.895245963   -0.1910397108      0.244308635
## 188     -0.247896619     1.213195362   -0.2882374479     -0.191429124
## 189      0.782781468    -1.102633635   -0.2625494745     -0.650100449
## 190     -0.761182518    -0.710901367   -0.2181162233      0.261508810
## 191     -0.498380138     1.293846123   -0.0501029921     -0.644367058
## 192     -0.818670539    -0.261561412   -0.0896763565     -0.248763040
## 193     -0.744757369    -0.998939799   -0.1597975811      0.433510557
## 194     -0.822776826     0.302993915   -0.3062884562     -0.804902022
## 195      1.595826333     0.337558527   -0.1493835378      0.387643425
## 196      0.556935672     0.441252363   -0.2646322832     -0.208629299
## 197     -0.477848702    -0.010832349   -0.0306634447     -1.320907263
## 198     -0.564080733     4.750307312   -0.0126124363      0.347509684
## 199      0.175050963    -0.664815217   -0.2347786925      0.943782407
## 200      0.955245530    -0.434384471   -0.3215623863     -0.873702721
## 201      0.006693188    -0.998939799   -0.2222818406     -0.667300624
## 202     -0.182196024     0.890592318   -0.0688482699     -1.183305865
## 203     -0.461423553    -0.952853650   -0.2070079105     -0.523965835
## 204      1.378193111    -0.330690636   -0.1931225195     -0.621433492
## 205      2.002348765    -0.307647561   -0.2569953181     -0.036627552
## 206     -1.040410048    -0.457427546   -0.2090907191     -0.449431745
## 207     -0.847414549    -0.010832349    0.8635557364     -0.810635413
## 208     -0.178089736    -1.114155172   -0.1882626326      1.167384678
## 209      0.009178870     1.028850765   -0.0653769222     -1.051437859
## 210     -1.015772324    -0.561121382    0.0137698066      0.886448491
## 211      1.587613758    -0.054173741   -0.2625494745      0.508044648
## 212      1.357661675     1.017329228   -0.0792623132      0.594045521
## 213      1.152347315     0.107127781   -0.1306382599     -0.271696606
## 214      1.402830834    -1.021982873   -0.3097598040      0.777514051
## 215      0.671911713    -0.180910651   -0.2847661001     -1.005570727
## 216     -0.720119646    -1.010461336   -0.1445236509      0.508044648
## 217     -0.473742414     0.740812333   -0.1729887025     -0.019427377
## 218      0.363940174     0.268429304    0.2123308980      0.995382931
## 219      0.006693188    -0.203953726   -0.2597723963     -0.558366184
## 220      0.688336862    -0.630250605   -0.2542182399     -0.701700974
## 221     -0.576399594     0.821463094   -0.1098101734     -0.523965835
## 222      0.009178870     0.199300080   -0.3722440635     -0.598499925
## 223      0.109350367    -0.491992158   -0.1660460070      0.181241328
## 224     -0.461423553    -0.952853650   -0.1604918506      1.052716847
## 225      0.294133291    -0.860681351   -0.3229509254     -0.025160768
## 226      0.606211118    -0.803073665   -0.3528045161     -0.392097829
## 227      1.197516475     0.187778543   -0.2333901534     -0.392097829
## 228      0.009178870     0.740812333   -0.2160334146     -0.036627552
## 229     -2.358528238    -0.010832349    1.6105897727     -1.011304118
## 230      0.009178870     0.740812333   -0.2083964496     -0.609966708
## 231      1.230366772    -0.538078307   -0.3382248555     -0.048094335
## 232      0.396790471    -0.595685994   -0.2208933015      0.118174021
## 233      0.684230575    -0.710901367   -0.3007342998     -0.277429997
## 234      0.470703641    -0.010832349    0.1706747250     -1.533042751
## 235     -0.116495428    -1.125676709   -0.2083964496      0.175507937
## 236      0.696549437    -0.975896724   -0.2944858738     -0.013693985
## 237      1.049690135    -0.618729068   -0.3410019337      0.467910907
## 238     -0.490167563    -0.618729068   -0.1105044430     -0.575566359
## 239      0.273601855    -0.745465978   -0.2090907191      0.272975593
## 240     -1.356594162     1.743186077    0.0151583457     -0.260229823
## 241      1.624570343    -0.134824502   -0.1709058939      0.685779786
## 242     -0.929540293    -0.618729068   -0.1028674779     -0.415031395
## 243     -1.032197473     0.867549243   -0.1209184862      0.204174894
## 244      0.996308402    -0.710901367   -0.2597723963     -0.833568980
## 245     -0.161664588     0.210821617   -0.1986766759     -0.449431745
## 246     -0.773501380    -0.826116739   -0.0258035578      0.341776292
## 247     -1.052728909    -0.010832349    0.4296372673     -0.506765660
## 248     -0.596931030    -1.068069023   -0.1514663464     -0.455165136
## 249      0.027224624     4.980738057   -0.0258035578      0.272975593
## 250      0.799206616    -0.768509053   -0.2021480236     -0.093961467
## 251      0.039543485     1.051893840   -0.0730138872     -0.220096082
## 252     -1.159492376     0.660161572    0.0283494671      0.840581359
## 253     -2.707562649     1.155587675    5.4964164469      1.385253558
## 254     -1.898624072    -0.010832349    2.2048845080     -1.825445721
## 255     -0.034369684     2.952947493   -0.0688482699     -0.518232443
## 256     -0.440892117     2.031224510   -0.2604666659     -0.380631046
## 257     -1.323743864    -1.068069023   -0.0723196177     -0.965436986
## 258      0.963458104    -0.088738353   -0.2299188057      0.444977340
## 259      0.068287495    -0.284604487   -0.1535491551      0.009239581
## 260      0.009178870     1.213195362   -0.2007594845     -0.879436112
## 261     -0.272534342    -0.077216815   -0.2271417275      0.508044648
## 262     -0.580505882     0.982764616   -0.2181162233      0.083773671
## 263      0.667805426    -0.710901367   -0.2875431783      0.100973846
## 264      0.622636267     0.141692393   -0.2403328489      0.341776292
## 265      0.807419191     0.498860050   -0.2736577873      0.060840105
## 266      0.133988091     0.752333870   -0.1736829721     -1.148905516
## 267      0.009178870     0.130170856   -0.3042056476     -0.764768281
## 268     -0.017944536    -0.895245963   -0.1604918506     -0.139828600
## 269     -1.126642079    -1.021982873   -0.1473007291     -0.403564612
## 270      1.053796423    -0.296126024   -0.2701864396     -0.179962341
## 271      0.696549437    -0.457427546   -0.1896511717      0.227108461
## 272     -0.752969944    -0.964375187   -0.2111735278      1.436854082
## 273      0.009178870     0.706247721   -0.3333649687     -0.644367058
## 274     -0.687269349    -0.607207531   -0.0133067059     -0.655833841
## 275     -1.377125598    -0.503513695    0.0158526152      0.192708111
## 276      0.922395232     0.395166214   -0.3055941867      0.106707238
## 277     -1.159492376    -0.010832349    0.3303567216     -0.518232443
## 278      0.368046461    -1.068069023   -0.2417213880      0.548178389
## 279      0.009178870     1.754707615   -0.2757405960     -0.197162515
## 280     -0.523017861    -0.676336755   -0.1250841035      0.542444997
## 281      0.795100329    -0.238518337   -0.1438293814      0.846314750
## 282      0.339302450     1.097979989   -0.3146196908      0.272975593
## 283      0.232538983    -1.183284396   -0.2924030652     -0.145561991
## 284      0.996308402    -0.814595202   -0.3361420469     -0.237296256
## 285     -0.654419051     0.510381587   -0.0563514180     -0.655833841
## 286     -0.781713954    -0.733944441   -0.1563262333      0.295909159
## 287      0.478916215    -0.491992158   -0.2174219537     -0.346230696
## 288      1.624570343    -1.125676709   -0.4104288888     -0.925303245
## 289     -0.761182518    -0.975896724   -0.1778485894     -0.340497305
## 290      0.897757509    -0.503513695   -0.1479949987      0.152574370
## 291     -0.194514885     3.540545896   -0.1195299471     -0.449431745
## 292     -0.223258895     0.625596960   -0.2354729621      0.123907412
## 293      0.708868298    -0.123302964   -0.1896511717      0.261508810
## 294      0.470703641     0.302993915   -0.3083712649     -0.099694859
## 295      1.398724547    -0.123302964   -0.2660208223      0.760313877
## 296      0.684230575    -0.468949083   -0.3847409154      0.060840105
## 297      0.376259035     0.141692393   -0.3042056476      0.330309509
## 298     -0.851520837    -0.998939799   -0.1820142067      0.066573497
## 299     -0.313597214    -0.895245963   -0.1549376942      0.852048142
## 300     -3.011427902    -0.010832349    1.2211045549     -2.490519143
## 301      0.618529980    -0.860681351   -0.2910145261      0.381910033
## 302      1.731333810    -0.618729068   -0.2396385794      0.559645172
## 303      0.930607807     0.003433946   -0.1993709454      0.324576117
## 304     -1.360700449    -0.503513695   -0.0251092883     -0.569832967
## 305     -0.966496878     3.321636687    0.1005535004      1.408187124
## 306     -0.465529840     0.475816975   -0.1000903997     -0.644367058
## 307      0.388577897    -0.814595202   -0.1618803897     -0.225829473
## 308      0.827950627    -0.215475263   -0.2097849887     -0.185695732
## 309      0.010799475    -0.987418262   -0.2451927358      0.829114575
## 310     -0.346447511     0.245386229   -0.2333901534     -1.108771775
## 311      0.565148246    -0.906767501   -0.1716001634     -0.271696606
## 312     -0.617462466     0.452773900   -0.2104792582     -1.120238558
## 313      0.009178870     0.314515453   -0.1410523032     -0.426498178
## 314     -0.531230435    -0.572642919   -0.1007846693      0.358976467
## 315      0.774568893    -0.952853650   -0.2757405960     -0.569832967
## 316      0.076500070    -0.952853650   -0.2486640835      0.152574370
## 317     -0.473742414    -0.010832349    0.0505660928     -0.409298004
## 318     -0.330022363     0.245386229   -0.2278359970      0.055106714
## 319      0.351621312    -0.457427546   -0.2326958839     -0.483832094
## 320     -0.432679543    -0.803073665   -0.1521606160      0.118174021
## 321      1.226260485    -0.491992158   -0.1938167890     -0.134095208
## 322      0.450172205    -0.010832349    0.2019168548     -0.982637160
## 323     -1.578333670     1.305367660    0.1040248481     -0.380631046
## 324      2.117324807    -0.180910651   -0.2354729621     -0.323297130
## 325     -0.740651082    -0.803073665   -0.1709058939      0.519511431
## 326      0.051862347     2.388392166   -0.2410271185      0.152574370
## 327     -1.134854653    -0.538078307   -0.1174471385      0.817647792
## 328      0.606211118    -0.526556770   -0.2701864396     -0.902369678
## 329     -0.313597214    -0.330690636   -0.0778737741      1.706323486
## 330      0.893651222    -1.045025948   -0.3521102465     -0.369164263
## 331      0.009178870     0.809941556   -0.2743520569     -0.506765660
## 332     -0.325916075    -0.952853650   -0.1361924163      0.014972973
## 333     -1.479782778    -0.664815217    0.0214067716     -0.397831220
## 334     -0.941859155     1.443626108   -0.1979824063     -0.340497305
## 335      0.634955129    -0.756987516   -0.2979572216     -0.931036636
## 336      0.009178870     0.153213931   -0.3104540735     -1.252106564
## 337      1.074327859    -0.307647561   -0.1722944330      0.032173147
## 338      0.009178870     2.054267584   -0.0015041235      0.158307762
## 339      0.483022502    -0.895245963   -0.2819890219      0.336042900
## 340      1.829884703     0.084084707   -0.2424156576      0.702979961
## 341     -1.557802234    -0.192432188   -0.0466316443     -0.925303245
## 342      0.491235077     2.169482957   -0.2410271185      0.186974720
## 343      0.487128790    -0.618729068   -0.2195047624      0.800447618
## 344     -1.290893567    -0.010832349    1.0690595233     -1.619043625
## 345     -0.555868158    -0.895245963   -0.1049502866      0.691513178
## 346     -0.572293307    -0.814595202   -0.1979824063      1.666189745
## 347      1.571188609     0.832984631   -0.0126124363      0.938049015
## 348      0.832056914     0.418209288   -0.2826832915     -0.157028774
## 349      1.595826333     0.061041632   -0.2639380136      0.456444123
## 350     -0.358766373    -0.261561412   -0.0667654613     -0.093961467
## 351     -0.703694497    -0.572642919   -0.1750715112      0.261508810
## 352      1.579401184    -0.699379829   -0.0827336609      0.066573497
## 353      0.897757509    -0.791552128   -0.3576644029      0.003506189
## 354      1.135922167    -0.388298322   -0.2896259870     -0.460898528
## 355     -3.011427902    -0.010832349    2.6464399421     -1.974513902
## 356     -0.535336722     0.902113855   -0.1007846693     -0.730367931
## 357      0.384471610    -0.422862934   -0.2569953181      0.536711605
## 358     -1.594758819     1.478190720    0.1817830378      0.192708111
## 359      1.349449101    -0.630250605   -0.2778234046     -0.036627552
## 360      0.532297949    -0.111781427   -0.3548873247     -0.690234190
## 361     -0.235577757    -0.722422904   -0.0507972616     -0.701700974
## 362      0.009178870    -0.250039875   -0.3048999171     -1.286506914
## 363      0.179157250    -0.733944441   -0.2167276842      0.267242202
## 364      0.622636267    -0.411341397   -0.2694921700     -0.357697479
## 365      0.009178870     1.144066138   -0.1986766759     -1.080104817
## 366      0.680124288    -0.261561412   -0.3319764296      0.181241328
## 367      0.175050963     0.349080065   -0.2201990319      0.427777166
## 368      1.020946125    -0.480470621   -0.2153391451      0.668579611
## 369     -0.621568754    -0.710901367   -0.1639631984      0.146840979
## 370     -0.403935532     1.201673825   -0.0598227658      0.129640804
## 371     -0.789926529     1.800793764   -0.0244150187      0.869248316
## 372     -0.424466968    -0.388298322   -0.2090907191     -0.007960594
## 373      0.376259035    -0.561121382   -0.1660460070      0.301642551
## 374     -1.011666037    -0.952853650   -0.0841222000      1.190318244
## 375      0.043649772    -0.010832349    0.4525481625     -1.166105691
## 376     -0.264321767    -0.618729068   -0.1604918506      0.966715973
## 377      0.009178870     0.533424661   -0.2653265527      0.525244822
## 378     -0.633887615     0.533424661   -0.0417717575     -0.357697479
## 379     -0.555868158    -0.618729068   -0.0799565827     -0.449431745
## 380     -0.884371134    -0.941332112   -0.0910648956     -0.397831220
## 381      1.037371274    -0.837638277   -0.2326958839      0.272975593
## 382      0.790994042    -0.065695278   -0.1854855544     -0.443698353
## 383     -0.670844200     3.379244373    0.1456810212      1.150184503
## 384      0.009178870     0.706247721   -0.1493835378     -0.030894160
## 385      0.454278492    -0.826116739   -0.3104540735     -0.007960594
## 386      0.133988091    -0.169389114   -0.1875683631      0.192708111
## 387     -0.917221432     0.740812333   -0.0799565827     -0.283163389
## 388     -1.270362131     4.946173446    0.1533179862      0.370443250
## 389     -0.301278352    -0.342212173   -0.1618803897      0.146840979
## 390      0.138094378    -0.077216815   -0.2528297008     -0.638633666
## 391     -0.966496878     1.881444525    0.1074961959     -0.048094335
## 392     -1.188236387     1.178630750   -0.1778485894     -0.495298877
## 393      0.848482063     0.233864692   -0.2472755444      0.800447618
## 394      0.795100329    -0.826116739   -0.3187853081      0.106707238
## 395      1.012733551    -0.837638277   -0.1403580336     -0.116895033
## 396     -0.531230435    -0.768509053   -0.1382752250      0.186974720
## 397      0.684230575    -0.388298322   -0.2188104928     -0.002227202
## 398     -0.490167563    -0.238518337   -0.0896763565     -0.025160768
## 399     -0.531230435    -0.180910651    0.0602858665      0.662846220
## 400      0.212007547    -0.849159814   -0.1910397108      0.089507063
## 401      1.296067367     0.498860050    0.3560446950      1.316452859
## 402      1.838097277    -0.630250605   -0.2375557707      0.508044648
## 403     -0.461423553     0.452773900   -0.1604918506     -0.432231570
## 404     -0.642100190    -0.987418262   -0.1299439904      1.981526281
## 405      1.953073319     0.107127781   -0.2181162233      0.387643425
## 406      1.115390731     0.130170856   -0.3000400303     -0.558366184
## 407     -0.194514885    -0.814595202   -0.1611861202      0.416310382
## 408      0.405003046    -0.872202889   -0.3410019337     -0.288896781
## 409     -3.011427902    -0.010832349    2.3673435828     -1.710777890
## 410      0.396790471    -0.445906009    0.2734266185      1.671923136
## 411     -0.921327719    -0.010832349    0.4803189445     -0.931036636
## 412      1.197516475     0.084084707   -0.3701612549     -0.546899401
## 413      0.421428194     2.480564464   -0.1035617475     -0.048094335
## 414      0.146306952    -0.180910651   -0.2743520569     -0.730367931
## 415      0.318771014    -0.595685994   -0.3361420469      0.204174894
## 416      0.918288945    -0.803073665   -0.0452431052      1.362319991
## 417     -1.414082183     0.475816975   -0.1306382599     -0.718901148
## 418      0.959351817    -0.595685994   -0.2153391451      0.404843599
## 419     -0.720119646    -0.561121382   -0.2111735278      0.639912654
## 420      0.244857845    -0.756987516   -0.2528297008     -0.472365311
## 421      1.291961080     0.061041632   -0.2674093614      0.393376816
## 422      0.216113835    -0.664815217   -0.1452179205     -0.099694859
## 423     -0.247896619    -0.733944441   -0.1618803897     -0.111161642
## 424      0.290027004     0.291472378   -0.2125620669     -0.145561991
## 425      0.183263537    -0.434384471   -0.3146196908     -0.202895907
## 426      1.189303900    -0.054173741   -0.3055941867     -0.019427377
## 427     -1.073260345    -0.526556770    0.0012729547     -0.036627552
## 428     -0.469636127     0.637118497   -0.1125872516      0.479377690
## 429     -0.724225933    -1.217849008   -0.0896763565     -0.564099576
## 430     -0.995240888    -0.526556770   -0.1958995977     -0.116895033
## 431     -1.323743864    -0.526556770   -0.1632689288     -0.134095208
## 432     -1.689203425     1.846879913    0.4011722158      0.479377690
## 433      0.043649772    -0.054173741   -0.2535239704     -0.437964961
## 434     -0.301278352    -0.010832349    0.6524977930     -1.154638908
## 435     -1.081472920    -0.595685994   -0.1091159039      0.313109334
## 436     -0.941859155    -0.722422904   -0.0903706260      0.387643425
## 437      0.236645271    -1.160241321   -0.2153391451     -0.741834715
## 438     -0.547655584    -0.031130666   -0.1098101734      0.874981708
## 439      0.696549437     0.164735468   -0.2778234046     -0.432231570
## 440      0.009178870     0.971243079   -0.3048999171     -1.057171251
## 441      1.932541883    -0.146346039   -0.2486640835      0.158307762
## 442     -0.551761871    -1.045025948   -0.1382752250      0.221375069
## 443      1.016839838     0.164735468   -0.0632941135      0.072306888
## 444     -0.457317266     0.441252363   -0.2486640835     -0.426498178
## 445      0.897757509    -0.722422904   -0.2049251018      0.186974720
## 446     -2.740412947    -0.215475263    3.6239714692     -0.495298877
## 447      0.860800924     0.660161572   -0.2625494745      0.089507063
## 448      1.197516475     0.314515453   -0.1167528689      0.571111955
## 449     -1.065047771     3.851627403   -0.0167780536      1.236185377
## 450      0.273601855    -0.180910651   -0.2097849887     -0.288896781
## 451     -0.469636127     0.683204646   -0.2500526226     -0.157028774
## 452      0.051862347    -1.056547485   -0.2438041967     -0.128361817
## 453      0.938820381     0.233864692    0.1498466385      1.155917895
## 454     -0.219152608    -0.906767501   -0.2486640835     -0.369164263
## 455     -0.900796283    -0.111781427   -0.1889569022      0.284442376
## 456     -1.052728909    -0.010832349    0.5837651075     -1.137438733
## 457     -1.644034266    -0.284604487   -0.1132815212      0.525244822
## 458      0.782781468     1.086458452   -0.2944858738     -0.214362690
## 459     -1.311425003    -0.353733710   -0.1056445561     -0.145561991
## 460      1.349449101    -0.319169098   -0.2111735278     -0.030894160
## 461      0.298239578     0.107127781   -0.1702116243      0.112440629
## 462     -1.738478871     2.538172151    0.6809628446      1.385253558
## 463      0.009178870     1.201673825   -0.3389191251     -0.185695732
## 464      1.435681132    -0.111781427   -0.2077021800      0.490844473
## 465      0.996308402    -0.768509053   -0.2729635178     -0.157028774
## 466     -0.785820241    -0.929810575   -0.0119181668      0.725913527
## 467     -0.288959491    -1.033504411   -0.0306634447      0.955249190
## 468      0.532297949    -0.019609129   -0.0001155844      1.006849714
## 469     -0.243790331    -0.572642919   -0.2625494745      0.381910033
## 470      1.345342814    -0.906767501   -0.1722944330      0.313109334
## 471      0.540510523    -0.941332112   -0.3125368822      0.215641678
## 472     -0.584612169    -0.929810575   -0.1903454413      0.565378563
## 473     -0.173983449    -0.192432188   -0.2375557707      0.295909159
## 474     -0.555868158    -0.273082949   -0.1278611817      0.674313003
## 475      0.236645271     0.452773900   -0.2625494745     -0.564099576
## 476     -0.395722958    -0.872202889   -0.1292497208      0.376176641
## 477      0.569254533     1.259281511   -0.2403328489     -0.168495558
## 478     -0.165770875    -0.641772143   -0.2708807091     -0.621433492
## 479      1.020946125    -0.111781427   -0.2077021800     -0.231562865
## 480     -0.765288805     0.337558527   -0.2097849887     -1.114505167
## 481     -0.703694497    -0.803073665   -0.2972629521      0.158307762
## 482     -0.362872660    -0.434384471   -0.0570456876      0.410576991
## 483     -1.972537241     3.275550538    0.5865421857      1.562988696
## 484      0.064181208    -0.342212173   -0.2326958839     -0.621433492
## 485     -0.383404096     0.337558527   -0.3257280036     -0.529699226
## 486      0.992202115    -0.203953726    0.1935856202      1.855391666
## 487      0.064181208    -0.238518337   -0.2597723963      0.244308635
## 488     -0.247896619    -0.918289038   -0.1278611817      0.175507937
## 489     -0.346447511     0.395166214   -0.2465812749     -1.011304118
## 490     -0.773501380     1.190152287   -0.1396637641      0.221375069
## 491     -0.982922027    -0.307647561   -0.1125872516     -0.650100449
## 492     -0.371085235    -0.010832349    0.4365799628     -1.160372299
## 493      0.996308402    -0.826116739   -0.2438041967     -0.191429124
## 494      0.733506021    -0.457427546   -0.3507217074     -0.071027901
## 495     -1.356594162     0.026477020   -0.0709310786      0.404843599
## 496     -0.161664588    -0.595685994   -0.1604918506      0.754580485
## 497      0.009178870     0.291472378   -0.2972629521     -1.137438733
## 498      0.405003046    -0.964375187   -0.2299188057      0.628445871
## 499      1.049690135    -0.203953726   -0.1972881368      0.186974720
## 500      0.610317405     0.314515453   -0.1979824063      0.198441503
## 501      0.926501520     0.026477020   -0.1674345461      0.272975593
## 502     -0.909008857    -0.503513695   -0.1771543198     -0.627166883
## 503      0.741718596    -0.538078307   -0.1445236509     -0.953970203
## 504     -0.752969944    -0.077216815   -0.2361672316     -0.374897654
## 505     -0.736544795    -0.515035232   -0.0438545661      1.689123311
## 506      0.577467108    -0.411341397   -0.3333649687     -0.019427377
## 507     -0.432679543    -0.676336755   -0.1889569022     -0.265963214
## 508      0.060074921    -0.422862934   -0.2333901534      0.215641678
## 509      0.700655724    -0.872202889   -0.3416962033     -0.260229823
## 510      0.207901260    -0.010832349    0.1672033772     -0.862235937
## 511      0.848482063    -0.791552128   -0.2833775610     -0.569832967
## 512      0.799206616    -0.054173741   -0.2063136409     -0.908103070
## 513     -1.467463916    -1.033504411   -0.0660711917     -0.340497305
## 514      0.667805426     0.164735468   -0.3160082299      0.009239581
## 515     -3.011427902    -0.010832349    2.4916178323     -1.922913378
## 516     -1.738478871     3.229464389    0.2588469579      0.513778039
## 517     -1.483889065    -0.399819860   -0.0278863665     -0.139828600
## 518     -0.789926529    -0.111781427   -0.1167528689     -0.065294509
## 519      0.236645271    -0.860681351   -0.3312821600     -0.575566359
## 520      0.696549437    -0.250039875   -0.1320267990      0.995382931
## 521      0.955245530    -0.319169098   -0.3604414811     -0.621433492
## 522     -1.487995352    -0.088738353   -0.0355233315     -0.185695732
## 523     -1.319637577    -0.054173741   -0.0480201834      0.083773671
## 524      0.778675180    -0.503513695   -0.3264222732      0.060840105
## 525     -1.820604615     2.227090644    0.3400764953      1.712056877
## 526     -1.130748366     0.210821617    0.0151583457      0.347509684
## 527     -0.666737913    -0.010832349    0.8038485550     -0.816368805
## 528      0.216113835     0.164735468    0.3949237898      2.308329600
## 529      0.634955129    -0.284604487   -0.3291993514     -0.432231570
## 530      0.741718596     0.337558527   -0.3187853081      0.055106714
## 531      0.634955129     0.452773900   -0.2458870053     -0.151295383
## 532      0.988095828    -0.226996800   -0.1757657807     -0.856502546
## 533     -1.262149556     0.740812333   -0.2139506060     -0.804902022
## 534     -0.288959491    -0.987418262   -0.0112238972      0.932315624
## 535      1.296067367    -0.399819860   -0.1653517375      0.639912654
## 536     -0.219152608     0.360601602   -0.0556571485     -0.747568106
## 537     -0.605143605     0.464295438   -0.3465560901     -0.581299751
## 538      0.536404236    -0.653293680   -0.2757405960     -0.575566359
## 539      1.168772464    -0.134824502    0.1852543855      1.425387299
## 540      0.901863796     0.072563170   -0.2993457607     -0.632900275
## 541     -0.514805286    -0.618729068   -0.1785428589      0.508044648
## 542      0.009178870     0.913635392   -0.1945110586     -0.409298004
## 543      0.433747056     0.118649319   -0.2597723963      0.548178389
## 544     -0.243790331    -0.849159814   -0.0327462533      0.490844473
## 545      0.893651222    -0.399819860   -0.2375557707      0.072306888
## 546     -0.913115145     0.014955483   -0.2000652150      0.301642551
## 547     -0.707800785     0.498860050   -0.1118929821     -0.403564612
## 548     -2.370847099     0.487338512    2.9290076491     -0.334763913
## 549     -1.167704951    -0.918289038   -0.0723196177      0.422043774
## 550      0.556935672    -0.215475263   -0.2868489088     -0.030894160
## 551     -0.465529840    -0.941332112   -0.2597723963     -0.099694859
## 552      0.963458104    -0.353733710   -0.3118426126      0.657112828
## 553     -0.317703501     0.902113855   -0.1820142067      0.095240455
## 554      1.222154198    -0.722422904   -0.3500274379     -0.311830347
## 555     -1.459251342     1.731664540    0.3338280694      1.081383804
## 556      0.922395232    -0.411341397   -0.4555564096      0.072306888
## 557     -1.529058224     2.710995210    0.1602606817      0.806181009
## 558     -1.048622622    -0.630250605   -0.1903454413     -0.684500799
## 559     -1.237511833    -0.010832349    0.8100969810     -0.351964088
## 560     -1.282680992     1.478190720    0.4553252407      1.058450238
## 561     -1.122535792     2.077310659    0.1317956302      2.153528028
## 562     -2.666499777    -0.238518337    3.4226332995     -1.779578589
## 563     -1.290893567    -0.010832349    1.0162950375     -0.948236811
## 564      0.803312904     0.302993915   -0.2965686825      0.089507063
## 565      0.466597354    -0.803073665   -0.2722692482      0.536711605
## 566      0.515872800    -0.342212173   -0.3062884562     -0.638633666
## 567      1.977711042    -0.699379829   -0.2201990319      0.227108461
## 568     -1.607077681     2.780124434    0.2442672973      1.184584853
## 569      0.540510523     1.282324586   -0.2681036309     -0.036627552
## 570      0.009178870    -0.077216815   -0.2771291351     -0.759034889
## 571      1.197516475     0.153213931   -0.3076769953     -0.271696606
## 572      0.047756059     0.061041632   -0.1653517375     -0.564099576
## 573     -0.789926529    -0.010832349    0.6025103854     -1.406908137
## 574     -2.715775224    -1.448279753   19.6747892073      4.257682734
## 575     -1.598865106     1.685578391    0.0547317101      0.341776292
## 576      1.476744004    -0.330690636   -0.1577147724     -0.030894160
## 577     -1.102004356    -0.595685994   -0.0424660270      0.032173147
## 578     -0.280746916    -1.033504411   -0.1688230852      0.955249190
## 579      0.786887755    -0.607207531   -0.1820142067     -0.724634540
## 580      0.983989540    -0.169389114    0.2213564022      1.230451985
## 581      0.676018001    -0.296126024   -0.2014537541     -0.845035763
## 582      0.417321907    -0.975896724   -0.2264474579     -0.254496431
## 583     -0.880264847     1.881444525   -0.1209184862      0.146840979
## 584     -0.769395093    -0.895245963   -0.0903706260     -0.506765660
## 585     -0.412148107     2.630344449   -0.0445488357     -0.810635413
## 586     -0.149345726     1.604927630   -0.1813199371     -0.093961467
## 587      0.848482063    -0.330690636   -0.3014285694     -0.483832094
## 588      1.353555388     1.109501526   -0.3111483431     -0.363430871
## 589      0.556935672    -0.584164456   -0.2625494745      0.026439756
## 590     -1.262149556    -0.388298322   -0.1056445561      0.450710732
## 591     -0.342341224    -0.010832349    0.1783116900     -0.678767407
## 592      0.893651222     0.798420019    0.3129999828      1.218985202
## 593      0.384471610     1.247759974   -0.2917087956     -0.397831220
## 594      0.540510523    -0.872202889   -0.1549376942      0.232841852
## 595     -0.633887615    -0.319169098   -0.1577147724     -0.019427377
## 596     -1.459251342     0.164735468   -0.0549628789     -0.013693985
## 597      0.314664727     0.302993915   -0.2556067790     -0.466631919
## 598     -1.110216930    -1.079590560   -0.0438545661     -0.237296256
## 599     -1.192342674    -0.042652203    0.0311265453     -0.334763913
## 600     -1.340169013    -0.480470621   -0.0042812017      0.892181883
## 601      0.429640769    -0.111781427   -0.1382752250     -0.535432618
## 602      0.483022502    -0.180910651   -0.2660208223     -0.099694859
## 603      1.062008997    -0.284604487   -0.2653265527     -0.099694859
## 604     -0.506592712     0.372123139   -0.3000400303     -0.638633666
## 605      0.413215620    -0.595685994   -0.2826832915     -0.363430871
## 606      0.634955129    -0.008087591   -0.2604666659      0.055106714
## 607      0.359833886    -1.033504411   -0.1820142067     -0.122628425
## 608      0.569254533     0.314515453   -0.3875179936     -0.443698353
## 609     -1.110216930     2.964469031    0.0144640761      0.565378563
## 610      0.009178870     0.210821617    0.0380692408     -0.380631046
## 611     -0.798139103     0.441252363   -0.2285302666     -0.885169504
## 612     -0.518911574    -0.538078307   -0.1695173548     -0.529699226
## 613      1.328917665     0.625596960   -0.2417213880      0.003506189
## 614      0.704762011    -0.791552128   -0.2465812749     -0.300363564
## 615      1.875053862    -0.019609129   -0.2757405960     -0.214362690
## 616      1.000414689    -0.180910651   -0.2736577873      0.055106714
## 617     -0.900796283    -0.872202889   -0.0625998440     -0.386364437
## 618      0.848482063    -0.342212173   -0.2285302666     -0.718901148
## 619      0.294133291    -0.710901367   -0.2007594845      0.456444123
## 620     -0.789926529    -0.872202889   -0.0778737741     -0.644367058
## 621      0.433747056    -1.033504411   -0.2007594845      0.444977340
## 622      1.037371274    -0.273082949   -0.2674093614     -0.501032269
## 623     -0.880264847    -1.010461336   -0.2222818406      1.798057751
## 624      0.528191661     0.268429304    0.0394577799      0.760313877
## 625      0.729399734     1.593406093   -0.3521102465      0.129640804
## 626      1.185197613     0.786898482   -0.2597723963     -0.059561118
## 627     -1.171811238    -0.595685994   -0.0494087225     -0.065294509
## 628      0.963458104    -0.342212173   -0.2403328489     -0.311830347
## 629      1.587613758    -0.376776785   -0.2549125095      0.450710732
## 630     -0.338234937    -0.791552128   -0.1736829721     -0.185695732
## 631      0.009178870     1.339932272   -0.0146952450     -0.374897654
## 632     -0.486061276     0.740812333   -0.2972629521      1.041250063
## 633      1.866841288    -0.111781427   -0.2826832915      0.169774545
## 634      0.848482063    -0.123302964   -0.3180910386     -0.380631046
## 635     -0.835095688    -0.307647561   -0.1292497208     -0.202895907
## 636     -0.859733411    -0.987418262   -0.3062884562     -0.581299751
## 637      1.534232025    -0.065695278   -0.2382500403     -0.460898528
## 638     -0.498380138    -0.010832349    0.3234140261     -1.286506914
## 639      0.647273990     0.533424661   -0.3222566559     -0.351964088
## 640      0.749931170    -0.872202889   -0.3048999171     -0.116895033
## 641     -1.327850151     0.925156929    0.1429039430     -0.718901148
## 642      0.009178870     2.100353734   -0.0285806360     -0.220096082
## 643      1.209835336    -0.192432188   -0.1986766759      0.817647792
## 644      0.741718596    -0.653293680   -0.2250589188      0.336042900
## 645      1.792928118    -0.010832349    0.1783116900     -1.555976317
## 646      0.425534482    -0.238518337   -0.2278359970     -0.340497305
## 647     -0.547655584    -0.010832349    0.3449363822     -1.223439606
## 648      0.610317405     0.395166214   -0.3382248555     -0.787701847
## 649      0.869013499    -0.010832349    9.8897541625     17.725419530
## 650     -1.212874110    -0.595685994   -0.0056697408     -0.306096955
## 651     -1.163598664    -0.929810575   -0.1611861202      0.169774545
## 652      1.053796423     0.291472378   -0.1903454413     -0.810635413
## 653      0.318771014    -0.330690636   -0.2729635178      0.198441503
## 654      1.521913163    -0.031130666   -0.2278359970      0.060840105
## 655     -1.241618120    -0.010832349    0.5789052207     -0.994103944
## 656      1.172878751    -0.480470621   -0.0945362433      0.399110208
## 657     -1.019878612    -0.745465978   -0.0792623132     -0.650100449
## 658      1.484956578    -0.042652203   -0.3125368822     -0.151295383
## 659      1.201622762    -0.422862934   -0.1604918506     -0.157028774
## 660     -1.639927978    -0.010832349    0.8711927014     -0.466631919
## 661      0.856694637    -0.365255248   -0.2660208223      0.060840105
## 662     -0.231471470    -0.733944441   -0.1396637641      0.450710732
## 663     -2.522779726     0.095606244    2.9401159619      0.158307762
## 664     -0.588718456     3.390765911   -0.1452179205     -1.223439606
## 665     -0.572293307     1.282324586   -0.2188104928     -0.294630172
## 666      1.427468558    -0.065695278   -0.2188104928      0.078040280
## 667      1.575294897    -0.273082949   -0.2826832915      0.330309509
## 668      1.107178156    -0.756987516   -0.3069827258      0.450710732
## 669      1.201622762    -0.388298322   -0.3201738472     -0.363430871
## 670     -0.001519387     2.250133718    0.1234643956      0.095240455
## 671     -0.235577757    -0.319169098   -0.1736829721     -0.501032269
## 672     -0.063113695    -1.045025948   -0.1493835378      0.691513178
## 673     -0.945965442     2.273176793   -0.1847912849      0.192708111
## 674      0.109350367     0.959721541   -0.2250589188     -0.581299751
## 675      0.614423693     0.279950841   -0.3243394645     -0.197162515
## 676      0.885438648     0.809941556   -0.2070079105     -0.105428250
## 677     -0.432679543    -0.088738353   -0.1771543198     -1.062904642
## 678     -0.683163062    -0.745465978   -0.1722944330      1.465521040
## 679      1.439787419    -0.388298322   -0.2361672316     -0.111161642
## 680     -0.785820241    -0.238518337   -0.1896511717     -0.673034016
## 681      1.320705090    -0.192432188    0.2421844887      0.336042900
## 682      0.413215620    -0.607207531   -0.1750715112     -0.237296256
## 683     -0.564080733     0.706247721    0.3386879562      1.689123311
## 684      1.916116734    -0.664815217   -0.2299188057     -0.541166010
## 685      0.897757509     0.176257005   -0.2479698140     -0.088228076
## 686      0.487128790    -0.618729068   -0.2236703797      0.370443250
## 687     -1.582439958    -0.365255248   -0.0591284962      0.341776292
## 688     -0.539443010    -0.365255248   -0.0181665927      0.611245696
## 689     -1.381231885    -0.010832349    1.4432708111     -0.787701847
## 690     -0.744757369     0.222343154   -0.1410523032     -0.157028774
## 691     -0.818670539     2.181004495   -0.1195299471     -0.283163389
## 692      1.333023952    -0.399819860   -0.3090655344     -0.655833841
## 693     -1.085579207    -0.010832349    0.1581778731     -0.317563738
## 694      1.181091326    -0.687858292   -0.2271417275      0.020706364
## 695      0.009178870     1.316889197   -0.2236703797     -0.690234190
## 696      1.185197613    -0.837638277   -0.2722692482     -0.644367058
## 697      1.328917665     0.084084707   -0.2750463264      0.278708985
## 698      0.009178870     0.879070780   -0.1028674779     -0.948236811
## 699      0.343408738    -0.008087591   -0.2930973347      0.611245696
## 700      0.988095828    -0.872202889   -0.2583838572     -0.145561991
## 701      0.009178870     2.008181435   -0.1965938672     -0.380631046
## 702      0.519979087    -0.699379829   -0.3160082299      0.169774545
## 703     -1.414082183     1.466669182   -0.0862050087     -0.587033142
## 704     -0.617462466    -0.561121382   -0.0292749056      1.454054256
## 705      0.009178870     0.832984631   -0.2549125095     -1.039971076
## 706      0.749931170    -0.561121382   -0.2417213880     -0.197162515
## 707     -0.535336722     3.160335165   -0.2875431783     -1.114505167
## 708      0.019012049     0.844506168   -0.2743520569     -0.329030522
## 709      0.774568893    -0.699379829   -0.3125368822     -0.002227202
## 710      0.737612309    -0.226996800   -0.1792371285      0.571111955
## 711      0.474809928    -0.019609129   -0.4055690019     -0.420764787
## 712      0.009178870     1.144066138   -0.3694669853     -0.300363564
## 713      1.353555388    -0.538078307   -0.2826832915     -0.306096955
## 714     -0.794032816     2.065789122    0.1304070911     -0.013693985
## 715      0.347515025     0.130170856   -0.2486640835      0.324576117
## 716     -0.358766373    -0.010832349    0.5684911774     -1.154638908
## 717     -1.475676490     0.890592318   -0.0077525495     -0.627166883
## 718     -0.399829245    -1.045025948   -0.1674345461      0.014972973
## 719     -1.520845650     0.717769258   -0.1181414080     -0.890902895
## 720      0.983989540    -0.250039875   -0.2500526226     -0.306096955
## 721      0.708868298    -0.699379829   -0.1403580336     -0.225829473
## 722      1.033264987    -0.526556770   -0.3229509254     -0.839302371
## 723      1.686164651    -0.457427546   -0.1820142067     -0.202895907
## 724      0.639061416    -0.814595202   -0.2438041967     -0.644367058
## 725     -0.662631626    -0.826116739   -0.0327462533      0.393376816
## 726      0.585679682    -0.503513695   -0.2701864396     -0.093961467
## 727      0.450172205     2.088832196   -0.1077273648      0.657112828
## 728      0.897757509    -0.503513695   -0.2604666659      0.462177515
## 729     -0.420360681    -0.733944441   -0.0376061402      0.106707238
## 730     -1.315531290     0.971243079    0.0998592308     -0.025160768
## 731     -1.446932480    -0.010832349    1.9382850006     -0.741834715
## 732     -1.048622622    -0.733944441   -0.1500778073     -0.042360943
## 733     -1.163598664    -1.148719784   -0.2306130752     -1.103038383
## 734      0.170944675    -1.194805933   -0.2771291351      0.416310382
## 735     -0.408041819    -0.872202889   -0.2070079105     -0.048094335
## 736      0.368046461     0.095606244   -0.2104792582     -0.369164263
## 737      0.548723097    -0.319169098   -0.2167276842      0.685779786
## 738     -0.059007408    -0.134824502   -0.1896511717     -0.191429124
## 739      0.009178870     2.031224510   -0.2070079105     -0.260229823
## 740     -0.178089736    -0.872202889   -0.1764600503      0.353243075
## 741      1.608145194    -0.365255248   -0.2944858738     -0.306096955
## 742     -0.173983449    -1.033504411   -0.1105044430      1.155917895
## 743     -1.373019311    -0.353733710   -0.0056697408      0.123907412
## 744      1.801140692    -0.261561412   -0.2285302666     -0.489565485
## 745      0.009178870     0.037998558   -0.2278359970     -0.334763913
## 746      0.101137793    -1.045025948   -0.1771543198     -0.426498178
## 747     -0.761182518    -0.803073665   -0.1500778073      0.123907412
## 748      0.339302450    -0.780030590   -0.2604666659     -0.346230696
## 749      1.037371274    -0.284604487   -0.1493835378      0.404843599
## 750      0.009178870     0.084084707   -0.3048999171     -0.179962341
## 751      0.688336862    -0.019609129   -0.2500526226      0.381910033
## 752     -1.270362131    -0.010832349    2.1819736128      0.513778039
## 753     -1.759010307    -0.010832349    2.0681134065     -0.701700974
## 754      0.532297949    -0.641772143   -0.1035617475     -0.260229823
## 755      0.009178870     1.155587675   -0.2403328489     -0.220096082
## 756      0.009178870     0.832984631   -0.2326958839     -1.355307612
## 757      0.885438648    -0.676336755   -0.1063388257     -0.483832094
## 758      1.825778416    -0.284604487   -0.1618803897      0.542444997
## 759     -0.789926529    -0.330690636   -0.1181414080     -0.506765660
## 760     -1.319637577    -0.353733710   -0.1299439904     -0.002227202
## 761      1.029158699    -0.123302964   -0.2049251018     -0.036627552
## 762     -0.223258895     1.881444525   -0.0973133215     -0.151295383
## 763     -0.876158560     1.535798406    0.0845853007     -0.271696606
## 764     -1.635821691     2.457521390    0.2234392108      0.674313003
## 765     -0.822776826    -0.584164456   -0.1278611817      0.324576117
## 766      0.076500070    -1.114155172   -0.2271417275      1.419653907
## 767      0.938820381     0.256907766   -0.2167276842      0.313109334
## 768     -0.584612169     0.441252363   -0.0938419738      0.020706364
## 769      0.088818931    -0.010832349    0.0838910312     -0.890902895
## 770     -2.695243788     0.118649319    7.7409899037     10.564413460
## 771     -0.670844200    -1.068069023   -0.0917591651     -0.065294509
## 772     -1.602971394     1.593406093    0.3393822258      1.677656528
## 773     -0.428573255    -0.653293680   -0.1327210686      0.766047268
## 774      0.692443149    -0.998939799   -0.2778234046      0.158307762
## 775     -0.342341224     1.063415377   -0.2104792582     -0.397831220
## 776      0.009178870     2.100353734   -0.1611861202      0.146840979
## 777      0.823844340    -0.434384471   -0.2924030652     -0.093961467
## 778     -1.147173515    -0.664815217   -0.1070330952     -0.587033142
## 779     -0.633887615    -0.572642919   -0.1528548855     -0.655833841
## 780     -1.348381587    -0.584164456   -0.0598227658     -0.896636287
## 781      0.302345866    -0.010832349    0.1074961959     -1.756645022
## 782      0.881332360     1.224716899   -0.3521102465      0.164041153
## 783     -3.011427902    -0.010832349    5.7220540508      2.646599703
## 784      0.495341364    -1.045025948   -0.2736577873     -0.076761293
## 785      0.009178870     1.858401450   -0.1618803897      0.037906539
## 786     -2.346209376    -0.929810575    3.8475262645     -0.673034016
## 787      0.938820381    -0.849159814   -0.3423904728     -0.139828600
## 788      1.008627263    -0.010832349    1.2627607279      0.278708985
## 789     -2.436547694    -0.284604487    5.8602136914      1.471254431
## 790      0.064181208    -0.837638277   -0.1632689288     -0.495298877
## 791      0.643167703    -0.008087591   -0.2521354313     -0.569832967
## 792     -0.444998404    -0.010832349    0.4053378331     -0.953970203
## 793     -0.892583709    -0.010832349    0.6955425052     -0.443698353
## 794      0.425534482    -0.411341397   -0.2014537541      0.611245696
## 795      1.082540433     0.614075422   -0.3416962033     -0.030894160
## 796      0.331089876     1.097979989   -0.3167024995     -0.248763040
## 797      0.889544935     0.141692393   -0.2472755444     -0.351964088
## 798     -3.011427902    -0.010832349    1.8396987244     -2.284117047
## 799      1.308386229    -0.699379829   -0.1993709454     -0.374897654
## 800      0.524085374     0.510381587   -0.1646574679      0.198441503
## 801      0.248964132     0.326036990   -0.3278108123      0.186974720
## 802     -0.523017861    -0.010832349    0.1630377599     -0.644367058
## 803      0.864907212     0.233864692   -0.1986766759     -0.948236811
## 804     -0.276640629     0.660161572   -0.1507720769     -0.541166010
## 805     -0.477848702    -0.607207531   -0.1549376942     -0.157028774
## 806      0.101137793    -1.137198246   -0.1327210686     -0.460898528
## 807      0.729399734    -0.134824502   -0.2410271185      0.255775419
## 808      0.281814430    -0.226996800   -0.1875683631      0.014972973
## 809      0.811525478    -0.929810575   -0.2986514912     -0.214362690
## 810     -1.508526788     3.171856702    0.3810383988      1.110050762
## 811      0.290027004    -0.964375187   -0.2799062133      1.144451112
## 812      0.552829385    -0.480470621   -0.2479698140     -0.478098702
## 813      0.844375776    -1.045025948   -0.3139254213     -0.294630172
## 814      0.392684184    -0.192432188   -0.3312821600     -0.374897654
## 815      0.261282994    -0.687858292   -0.3187853081      0.043639930
## 816      0.216113835    -0.010832349    0.0387635104      0.364709858
## 817      0.076500070     0.233864692   -0.2215875710      0.542444997
## 818     -0.531230435    -0.710901367   -0.0632941135     -0.713167757
## 819     -0.941859155    -0.157867576   -0.2646322832     -0.134095208
## 820      0.905970084    -0.203953726   -0.3104540735      0.146840979
## 821     -0.182196024    -0.998939799   -0.2444984662      0.530978214
## 822     -0.835095688     1.155587675   -0.2833775610      0.886448491
## 823     -0.514805286    -0.975896724   -0.1674345461     -0.363430871
## 824     -0.399829245    -0.687858292   -0.2077021800      0.078040280
## 825      0.774568893    -1.045025948   -0.3312821600      0.141107587
## 826     -0.785820241     2.307741405   -0.2264474579      0.181241328
## 827     -1.130748366    -0.010832349    0.6434722889     -0.535432618
## 828      0.450172205    -0.296126024   -0.1597975811      0.204174894
## 829      0.975776966     0.141692393   -0.2542182399     -0.380631046
## 830     -0.305384639     0.360601602    0.3900639029      1.092850588
## 831      1.300173654    -0.434384471   -0.2542182399     -0.351964088
## 832      0.446065918    -0.010832349    5.2561991824      2.142061245
## 833     -0.769395093     1.409061496   -0.1729887025      0.146840979
## 834     -1.492101639     1.293846123    0.2449615669      0.725913527
## 835     -0.145239439    -0.607207531   -0.2937916043      0.525244822
## 836      0.446065918    -1.183284396   -0.2278359970     -0.695967582
## 837      0.009178870     0.475816975   -0.2910145261     -0.781968456
## 838     -0.966496878    -0.733944441    0.0727827184      0.513778039
## 839      0.421428194     0.141692393   -0.2118677973     -0.260229823
## 840      0.840269488    -0.803073665   -0.2299188057     -0.151295383
## 841      0.729399734     0.153213931   -0.1952053281      0.525244822
## 842     -0.748863657    -0.010832349    0.9565878562     -2.312784005
## 843      0.905970084    -0.584164456   -0.3111483431     -0.162762166
## 844      0.306452153    -0.238518337   -0.2861546392      0.198441503
## 845      0.790994042    -0.399819860   -0.2986514912     -0.271696606
## 846      0.462491066    -0.457427546   -0.1840970153     -0.220096082
## 847      0.548723097    -0.019609129   -0.3000400303     -0.575566359
## 848      0.446065918    -0.964375187   -0.1972881368      0.175507937
## 849     -0.625675041    -0.837638277   -0.1382752250      1.740723835
## 850     -1.397657034     0.187778543   -0.0521858007     -0.982637160
## 851     -1.307318715     0.832984631   -0.0702368090      0.026439756
## 852     -0.157558300     0.498860050   -0.2424156576     -0.833568980
## 853      0.009178870     1.097979989   -0.0771795045     -0.896636287
## 854      0.009178870     2.088832196   -0.2854603697      0.490844473
## 855     -0.621568754     0.706247721   -0.1230012949      1.121517545
## 856      1.464425142    -0.203953726   -0.2812947524     -0.174228949
## 857     -0.243790331     0.107127781   -0.2965686825     -0.191429124
## 858      0.466597354     0.233864692   -0.2111735278      0.164041153
## 859      1.185197613     0.245386229   -0.3423904728     -0.466631919
## 860      1.328917665    -0.146346039   -0.1070330952      0.754580485
## 861     -1.011666037    -1.160241321   -0.1389694945     -0.615700100
## 862      1.160559890    -0.388298322   -0.2236703797      0.513778039
## 863     -0.523017861    -0.526556770   -0.2757405960      0.473644298
## 864      1.103071869    -0.365255248    0.1713689945      1.333653034
## 865      0.922395232    -1.056547485   -0.2299188057     -0.013693985
## 866      1.304279942    -0.388298322    0.1915028115      0.800447618
## 867      0.918288945    -0.088738353   -0.2944858738      0.227108461
## 868     -0.059007408    -0.077216815    0.1824773073      1.058450238
## 869     -0.354660086    -0.860681351   -0.0487144530     -0.283163389
## 870      0.988095828    -0.411341397   -0.2847661001     -0.552632793
## 871      1.501381727    -0.653293680   -0.2090907191     -0.306096955
## 872      0.117562942    -0.607207531   -0.2077021800     -0.432231570
## 873      0.634955129    -0.630250605   -0.2243646492     -0.856502546
## 874     -1.262149556     0.452773900   -0.1257783731     -0.059561118
## 875     -1.307318715     1.374496884    0.0582030578     -0.036627552
## 876      0.922395232    -0.491992158    0.1949741593      1.568722088
## 877      0.441959630    -0.872202889   -0.2132563364     -0.661567233
## 878      0.314664727    -0.203953726    0.2366303323      0.938049015
## 879     -0.781713954    -0.010832349    0.6032046550     -1.406908137
## 880      1.382299398    -0.042652203   -0.2077021800     -0.564099576
## 881     -0.826883113    -0.010832349    1.4974238360     -0.495298877
## 882      0.009178870     0.222343154   -0.3680784462     -1.080104817
## 883      0.285920717    -0.664815217   -0.1327210686     -0.007960594
## 884      1.209835336    -0.952853650   -0.3812695677      0.473644298
## 885      0.519979087    -0.031130666   -0.2507468922     -0.237296256
## 886     -0.502486425    -1.125676709   -0.1389694945      0.697246569
## 887      0.203794973    -0.975896724   -0.2701864396      1.207518419
## 888      0.179157250    -1.091112097   -0.1847912849      0.783247443
## 889     -2.214808186     2.503607539    6.7447130987      5.966233421
## 890     -1.644034266     1.374496884    0.1269357433     -0.157028774
## 891      0.009178870     0.314515453   -0.2007594845     -0.764768281
## 892     -1.065047771    -0.203953726   -0.1278611817      0.244308635
## 893     -0.720119646    -1.148719784   -0.2917087956     -0.374897654
## 894     -1.056835196     1.005807691    0.0137698066     -0.581299751
## 895     -2.374953387    -1.286978231    5.7817612322     -0.913836462
## 896      1.209835336    -0.376776785   -0.1827084762     -0.248763040
## 897     -0.399829245    -0.353733710    0.0179354239      0.857781533
## 898      0.692443149    -0.226996800   -0.2979572216      0.542444997
## 899      0.009178870    -0.031130666   -0.3646070985     -0.804902022
## 900     -0.679056774     0.452773900   -0.2847661001     -0.604233317
## 901     -2.736306660    -0.918289038    2.7894594695     -0.931036636
## 902      0.528191661    -0.710901367   -0.2556067790      0.055106714
## 903      0.191476111    -0.296126024   -0.2521354313      0.336042900
## 904     -0.609249892    -0.929810575   -0.2861546392     -0.025160768
## 905     -1.143067228    -0.687858292   -0.0063640104      0.347509684
## 906     -0.551761871    -0.503513695   -0.0598227658     -0.730367931
## 907      1.484956578    -0.010832349    2.1132409273      1.339386425
## 908      1.176985039    -0.180910651   -0.3465560901     -0.185695732
## 909     -0.247896619     3.471416672   -0.0021983931      1.396720341
## 910     -3.011427902    -0.010832349    2.4020570603     -2.192382782
## 911      0.002586900    -0.918289038   -0.1521606160      0.450710732
## 912      0.047756059    -0.745465978   -0.1993709454      0.106707238
## 913      1.107178156    -0.780030590   -0.3750211417     -0.523965835
## 914      0.532297949    -1.091112097   -0.2195047624      0.874981708
## 915      0.310558440    -0.445906009   -0.2799062133      0.083773671
## 916      1.267323357    -0.422862934   -0.1917339804      0.037906539
## 917     -0.929540293    -0.849159814   -0.1132815212      0.227108461
## 918      0.881332360     0.418209288    0.2456558364      1.138717720
## 919     -0.929540293     0.118649319   -0.2875431783     -0.231562865
## 920      0.988095828    -0.653293680   -0.3666899071      0.250042027
## 921     -0.399829245    -1.125676709   -0.2632437441      0.336042900
## 922     -0.707800785     0.510381587   -0.2000652150     -0.810635413
## 923     -2.559736310     2.687952136    7.6805884528      6.247169608
## 924      0.622636267     0.510381587   -0.3021228389     -0.317563738
## 925     -0.087751418    -1.079590560   -0.3014285694      0.026439756
## 926     -0.625675041     0.706247721   -0.2500526226     -0.019427377
## 927     -2.641862054     0.418209288    4.3376805671     -1.257839956
## 928     -0.465529840     1.293846123   -0.0660711917     -0.724634540
## 929      1.554763461    -0.676336755   -0.1840970153     -0.334763913
## 930      0.009178870     1.121023063   -0.2715749787     -0.518232443
## 931      0.992202115     0.037998558    0.1699804554      1.660456353
## 932     -1.229299259    -0.157867576   -0.2007594845     -0.609966708
## 933     -0.855627124     4.300967357    0.3164713306      0.318842726
## 934      0.803312904    -0.814595202   -0.2590781268      0.530978214
## 935     -1.627609117     2.572736763    0.4185289545      0.272975593
## 936     -0.716013359    -0.872202889   -0.0362176011      0.628445871
## 937      1.275535931    -0.664815217   -0.0757909654     -0.225829473
## 938     -0.518911574     0.464295438   -0.2049251018     -0.845035763
## 939      0.421428194    -0.215475263   -0.2278359970     -0.546899401
## 940     -0.810457965    -1.079590560   -0.0362176011      0.089507063
## 941     -1.726160009     1.201673825    0.1595664122     -0.139828600
## 942      1.423362270    -1.021982873   -0.1965938672      0.244308635
## 943     -1.003453463    -0.780030590   -0.1042560170      0.530978214
## 944     -2.596692895    -0.010832349    1.6251694333     -2.312784005
## 945      0.996308402    -0.238518337    0.2338532541      1.064183630
## 946      1.755971533     0.326036990   -0.2701864396      0.250042027
## 947      1.645101779    -0.722422904   -0.2229761101      0.376176641
## 948     -1.348381587    -0.388298322   -0.0320519838      0.611245696
## 949      1.480850291    -0.780030590   -0.2910145261     -0.071027901
## 950      1.661526928     0.095606244   -0.3194795777     -0.380631046
## 951     -0.937752868    -1.056547485   -0.0535743398     -0.237296256
## 952      0.236645271    -0.399819860   -0.2750463264     -0.288896781
## 953      0.322877302    -0.883724426   -0.2347786925     -0.093961467
## 954      1.172878751    -0.549599844   -0.3028171085     -0.093961467
## 955      2.051624211    -0.630250605   -0.2729635178     -0.294630172
## 956     -0.982922027     0.567989273   -0.1049502866     -0.736101323
## 957     -1.500314214     1.789272227    0.0748655270     -0.053827726
## 958     -0.572293307    -0.883724426   -0.1840970153      1.121517545
## 959      0.856694637     0.199300080   -0.1320267990     -0.592766534
## 960     -0.276640629    -0.964375187   -0.1563262333      0.032173147
## 961      0.376259035    -1.114155172   -0.3548873247      0.588312130
## 962     -1.015772324     0.026477020   -0.0917591651      0.605512304
## 963     -0.486061276     2.837732121    0.0630629447      1.092850588
## 964     -0.514805286    -0.010832349    0.2741208880     -1.338107438
## 965     -0.194514885    -0.480470621   -0.1792371285     -0.116895033
## 966      1.049690135    -0.480470621   -0.1674345461      0.479377690
## 967     -0.436785830     1.097979989   -0.3042056476      0.313109334
## 968     -2.559736310    -0.010832349    2.6283889338     -0.753301498
## 969     -0.268428055    -0.687858292   -0.0605170353      0.897915274
## 970      1.156453603     0.475816975   -0.3590529420      0.416310382
## 971     -0.761182518     1.846879913   -0.0119181668      1.167384678
## 972     -0.789926529     1.927530674   -0.2924030652     -0.357697479
## 973      1.123603305    -0.388298322    0.1908085420      1.396720341
## 974      0.914182658     0.037998558   -0.3743268722      0.106707238
## 975     -1.028091186    -1.033504411    0.1248529347     -0.317563738
## 976     -0.481954989    -0.803073665   -0.2236703797     -0.397831220
## 977     -0.954178016     2.008181435    0.2164965153      1.585922263
## 978      0.754037457    -0.918289038   -0.2889317174      0.278708985
## 979      0.195582399    -1.033504411   -0.2743520569      0.381910033
## 980      0.076500070    -1.056547485   -0.1591033115     -0.369164263
## 981     -1.504420501     3.390765911    0.2130251676      0.588312130
## 982      1.768290395     0.406687751   -0.2625494745      0.141107587
## 983     -0.416254394     2.457521390   -0.0355233315      1.035516672
## 984      1.521913163    -0.088738353   -0.2507468922      0.123907412
## 985      0.983989540    -0.215475263   -0.3569701334     -0.632900275
## 986     -1.323743864     0.971243079   -0.1223070253     -0.764768281
## 987     -0.703694497    -0.722422904   -0.2056193714      0.255775419
## 988      0.589785969     0.452773900   -0.2486640835     -0.713167757
## 989      1.020946125    -0.491992158   -0.1667402766      0.049373322
## 990     -0.141133152    -0.010832349    0.6719373405     -1.246373173
## 991     -0.042582259    -1.079590560   -0.1806256676      0.680046395
## 992     -0.568187020    -1.217849008   -0.1938167890      0.324576117
## 993      0.043649772     1.040372302    0.1991397766     -0.426498178
## 994     -1.060941484    -1.068069023   -0.0702368090     -0.437964961
## 995     -1.015772324    -0.607207531   -0.1195299471      0.341776292
## 996      0.762250032    -0.699379829   -0.1653517375     -0.483832094
## 997      1.792928118    -0.756987516   -0.2653265527      0.100973846
## 998     -0.584612169    -0.895245963   -0.2077021800      0.783247443
## 999      0.524085374    -0.100259890   -0.2208933015     -0.260229823
## 1000     0.326983589    -0.676336755   -0.2743520569     -0.604233317
## 1001     0.396790471    -0.365255248   -0.2736577873     -0.707434365
## 1002    -0.059007408    -0.653293680   -0.2611609354      0.209908286
## 1003     0.257176707    -0.883724426   -0.2188104928      0.462177515
## 1004    -0.395722958    -0.941332112   -0.1958995977      1.087117196
## 1005    -0.412148107    -0.010832349   -0.0098353581      0.118174021
## 1006    -1.151279802     2.399913703    0.1713689945      1.161651286
## 1007    -0.954178016    -0.342212173   -0.1882626326      0.060840105
## 1008     0.807419191    -0.607207531   -0.2243646492      0.582578738
## 1009    -1.364806736     0.130170856   -0.0459373748     -0.403564612
## 1010     0.799206616    -1.102633635   -0.2729635178      0.032173147
## 1011    -0.280746916    -0.814595202   -0.2104792582      0.668579611
## 1012     0.971670679     0.003433946   -0.1938167890      0.009239581
## 1013     0.790994042    -0.595685994   -0.1958995977      0.215641678
## 1014     1.267323357    -0.319169098   -0.1910397108      0.748847093
## 1015     1.070221571     0.095606244   -0.3486388988     -0.701700974
## 1016     0.684230575     0.003433946   -0.1979824063      0.026439756
## 1017     0.068287495     0.775376945   -0.2472755444     -0.111161642
## 1018    -1.356594162     1.892966062    0.1359612475      1.608855829
## 1019     1.234473059    -0.008087591   -0.2431099271     -0.174228949
## 1020    -0.929540293    -1.240892082   -0.0820393914      0.439243949
## 1021     0.684230575    -0.849159814   -0.2972629521      0.439243949
## 1022    -0.867945985    -1.010461336   -0.1230012949     -0.971170377
## 1023    -1.266255843     1.132544601    0.2137194371      0.639912654
## 1024     0.979883253    -0.284604487   -0.3534987856      0.834847967
## 1025     0.273601855     0.210821617   -0.3396133946     -0.690234190
## 1026     0.708868298     0.452773900   -0.2681036309      0.055106714
## 1027     1.008627263    -0.860681351   -0.2861546392     -0.443698353
## 1028    -1.487995352    -0.342212173   -0.0667654613     -0.380631046
## 1029    -1.422294757    -0.526556770   -0.0424660270     -0.220096082
## 1030    -0.650312764    -0.872202889   -0.0917591651      0.301642551
## 1031     0.885438648    -0.284604487   -0.1243898340     -0.145561991
## 1032     1.209835336     0.026477020   -0.2993457607     -0.346230696
## 1033    -0.720119646     0.982764616    0.2428787582     -0.650100449
## 1034    -0.814564252     1.535798406   -0.2299188057     -0.157028774
## 1035     0.815631765    -0.584164456   -0.2514411617     -0.122628425
## 1036    -0.954178016    -0.010832349    0.5344719695     -1.103038383
## 1037    -3.011427902    -0.010832349    1.2808117362     -2.094915125
## 1038    -0.317703501    -0.964375187   -0.1563262333      1.224718594
## 1039    -0.950071729     0.095606244   -0.1799313980     -0.191429124
## 1040     1.045583848    -0.941332112   -0.3889065327     -0.426498178
## 1041    -0.001519387    -0.756987516   -0.2576895877      0.037906539
## 1042     0.339302450     1.374496884   -0.2347786925     -0.334763913
## 1043     1.690270938    -0.388298322   -0.2278359970     -0.426498178
## 1044    -1.192342674     0.349080065    0.0713941793     -0.971170377
## 1045     1.144134741     0.383644677   -0.2042308323      0.221375069
## 1046    -1.003453463    -0.699379829   -0.1320267990     -0.397831220
## 1047    -0.687269349     0.210821617   -0.2910145261      0.014972973
## 1048    -0.695481923    -0.261561412   -0.1827084762      0.657112828
## 1049     0.009178870     0.948200004   -0.1549376942     -0.587033142
## 1050     0.339302450    -0.687858292   -0.1236955644      0.049373322
## 1051    -1.414082183     2.284698330    0.1727575336      0.542444997
## 1052    -0.260215480    -0.388298322   -0.1278611817      0.508044648
## 1053    -1.397657034     1.155587675    0.1672033772      0.307375943
## 1054     0.080606357    -0.745465978   -0.3000400303     -0.071027901
## 1055     0.220220122     0.072563170   -0.2840718306     -0.443698353
## 1056    -0.559974446    -0.250039875   -0.2146448755      1.104317371
## 1057     0.873119786    -0.008087591   -0.2424156576      0.037906539
## 1058     0.749931170     0.591032348   -0.3423904728     -0.179962341
## 1059     0.212007547     0.786898482    0.3657644687      0.852048142
## 1060    -0.219152608    -0.203953726   -0.2292245361     -0.048094335
## 1061     0.897757509    -0.480470621   -0.2563010486      0.938049015
## 1062    -0.498380138    -0.296126024   -0.2208933015     -0.019427377
## 1063     0.741718596     0.130170856   -0.2764348655      0.164041153
## 1064    -0.650312764    -0.238518337   -0.1549376942      0.657112828
## 1065     0.934714094    -0.077216815   -0.1278611817      0.410576991
## 1066    -1.385338172    -0.837638277    0.0269609280      0.777514051
## 1067     0.741718596    -0.307647561   -0.3125368822     -0.581299751
## 1068    -0.321809788    -0.906767501   -0.0389946793      0.043639930
## 1069     1.107178156    -0.111781427   -0.2424156576     -0.587033142
## 1070     0.441959630    -0.042652203   -0.2424156576     -0.386364437
## 1071     1.062008997     0.832984631   -0.2597723963      0.135374196
## 1072     0.971670679    -0.998939799   -0.2250589188     -0.833568980
## 1073     0.519979087     0.210821617   -0.3312821600     -0.134095208
## 1074    -0.777607667    -0.803073665   -0.1438293814      0.100973846
## 1075     0.992202115    -0.791552128   -0.2896259870      0.158307762
## 1076    -0.991134601     0.971243079   -0.0202494014      1.408187124
## 1077     1.538338312    -0.468949083   -0.2007594845      0.043639930
## 1078    -0.609249892    -1.091112097   -0.2299188057     -0.007960594
## 1079    -0.625675041    -0.941332112   -0.1750715112     -0.896636287
## 1080     1.460318855    -0.399819860   -0.2250589188     -0.139828600
## 1081     0.199688686    -0.491992158   -0.2736577873     -0.799168630
## 1082    -0.695481923     3.022076717   -0.0251092883     -0.804902022
## 1083    -0.366978947    -0.791552128   -0.2132563364      0.920848841
## 1084    -0.321809788     0.498860050   -0.1771543198     -0.145561991
## 1085    -0.383404096    -1.171762858   -0.1917339804      0.725913527
## 1086    -1.672778276    -0.019609129   -0.1382752250     -0.764768281
## 1087    -1.701522286     1.386018421   -0.0799565827      0.072306888
## 1088     1.283748506    -0.388298322   -0.2826832915     -0.632900275
## 1089    -1.262149556    -0.330690636   -0.0813451218     -1.057171251
## 1090    -0.227365183    -0.641772143   -0.0917591651     -0.099694859
## 1091     0.819738052     1.409061496   -0.2389443098      0.519511431
## 1092    -0.720119646    -0.088738353   -0.0424660270     -0.168495558
## 1093    -3.011427902    -0.010832349    2.0368712767     -2.421718444
## 1094     1.070221571    -1.021982873   -0.3319764296      0.416310382
## 1095     1.870947575    -0.146346039   -0.2729635178      0.353243075
## 1096     0.864907212    -0.595685994   -0.1639631984     -0.569832967
## 1097     0.009178870     0.072563170   -0.3403076642     -1.171839082
## 1098     1.185197613    -0.630250605   -0.2701864396     -0.243029648
## 1099     2.408871198     0.153213931   -0.2910145261     -0.042360943
## 1100     0.569254533    -0.987418262   -0.4020976542     -0.988370552
## 1101     0.294133291     0.994286153   -0.2806004828     -0.174228949
## 1102    -0.835095688     1.213195362   -0.1986766759      0.014972973
## 1103     1.271429644    -0.261561412   -0.1979824063     -0.323297130
## 1104     0.009178870     0.717769258   -0.2819890219     -0.392097829
## 1105    -0.937752868    -0.975896724   -0.1709058939      0.078040280
## 1106    -1.266255843    -0.756987516   -0.1264726426     -0.455165136
## 1107     0.758143745    -1.079590560   -0.2549125095     -0.002227202
## 1108     1.004520976     0.279950841   -0.2320016143     -0.220096082
## 1109    -1.134854653    -0.998939799   -0.1528548855     -0.214362690
## 1110    -1.516739362     2.572736763    0.3553504254      0.909382057
## 1111     0.823844340    -0.595685994   -0.3146196908     -0.311830347
## 1112    -1.237511833    -0.010832349    1.1252953569     -0.185695732
## 1113    -1.557802234    -0.010832349    0.8934093271      0.169774545
## 1114    -0.436785830    -0.664815217   -0.2639380136     -0.311830347
## 1115     1.176985039    -1.045025948   -0.3298936209     -0.065294509
## 1116     0.688336862     0.037998558   -0.3347535078     -0.179962341
## 1117     1.012733551    -0.791552128   -0.3882122632     -0.655833841
## 1118     0.335196163    -0.169389114   -0.1459121900     -0.277429997
## 1119     0.799206616    -0.365255248   -0.2757405960     -0.604233317
## 1120     0.335196163     0.003433946   -0.2049251018      0.267242202
## 1121    -1.504420501     2.181004495    0.1658148381      0.072306888
## 1122     0.405003046    -0.353733710   -0.2396385794     -0.306096955
## 1123    -0.518911574    -0.918289038   -0.2389443098     -0.535432618
## 1124    -0.091857705    -0.699379829   -0.2361672316     -0.271696606
## 1125     0.721187160    -1.160241321   -0.3021228389     -0.288896781
## 1126     0.162732101    -0.941332112   -0.1868740935      0.026439756
## 1127     1.472637717    -0.100259890   -0.2694921700     -0.099694859
## 1128     0.548723097    -0.837638277   -0.2021480236      0.003506189
## 1129    -1.290893567     0.222343154   -0.0369118706     -1.160372299
## 1130     0.154519527    -0.895245963   -0.1334153381     -0.804902022
## 1131    -0.067219982    -0.584164456   -0.2889317174      0.158307762
## 1132    -0.412148107    -0.077216815   -0.1653517375      0.456444123
## 1133     0.704762011    -0.607207531   -0.2951801434     -0.650100449
## 1134     1.152347315    -0.192432188   -0.2042308323      0.272975593
## 1135    -0.732438508     0.360601602   -0.1834027458     -0.363430871
## 1136    -1.159492376    -0.664815217   -0.0709310786     -0.294630172
## 1137    -0.346447511    -1.229370545   -0.1118929821      0.467910907
## 1138    -0.379297809     0.579510811   -0.3187853081     -0.587033142
## 1139     0.721187160    -0.342212173   -0.1195299471      0.450710732
## 1140     1.390511973    -0.503513695   -0.1736829721      0.645646045
## 1141     1.094859295    -0.653293680   -0.2396385794      0.072306888
## 1142     0.930607807    -0.088738353   -0.1868740935      0.198441503
## 1143     0.655486565     0.176257005   -0.2903202565     -0.661567233
## 1144     0.474809928     0.406687751   -0.0750966959      0.720180136
## 1145     0.009178870     0.637118497   -0.3486388988     -1.206239432
## 1146     0.009178870     1.051893840   -0.2375557707     -0.736101323
## 1147     1.296067367    -0.457427546   -0.2090907191     -0.139828600
## 1148    -0.502486425     0.648640034   -0.2486640835      0.387643425
## 1149     1.562976035    -0.780030590   -0.2090907191      0.496577864
## 1150     1.255004495    -0.515035232   -0.2458870053     -0.122628425
## 1151     1.078434146     0.948200004   -0.2285302666     -0.334763913
## 1152     0.544616810    -0.330690636   -0.2486640835     -0.787701847
## 1153     0.983989540    -0.031130666   -0.0521858007      0.754580485
## 1154     1.320705090    -0.733944441   -0.1965938672      0.003506189
## 1155    -0.268428055     1.581884555   -0.0799565827     -0.346230696
## 1156    -0.527124148     1.374496884   -0.2701864396      0.525244822
## 1157    -1.118429504    -0.077216815   -0.1105044430     -0.197162515
## 1158    -1.122535792    -0.630250605    0.0630629447     -0.220096082
## 1159     0.068287495    -1.171762858   -0.2077021800     -0.225829473
## 1160    -1.262149556     0.118649319   -0.1063388257      1.024049889
## 1161     0.729399734     0.510381587   -0.1945110586      0.267242202
## 1162    -1.175917525    -0.745465978   -0.1209184862      0.553911780
## 1163     0.441959630    -0.457427546   -0.3597472116     -0.690234190
## 1164    -1.800073179     0.095606244   -0.2208933015     -1.338107438
## 1165    -1.327850151    -0.111781427   -0.0855107391     -0.122628425
## 1166     0.573360821    -0.019609129   -0.2313073448     -0.323297130
## 1167     0.573360821    -0.342212173   -0.2333901534     -0.437964961
## 1168    -0.711907072    -0.699379829   -0.0896763565     -0.019427377
## 1169     1.049690135     0.003433946   -0.1972881368     -0.248763040
## 1170    -1.184130099    -0.906767501   -0.1146700603     -0.105428250
## 1171    -0.428573255    -0.480470621   -0.2444984662     -0.793435239
## 1172     0.388577897    -0.307647561   -0.2563010486     -0.294630172
## 1173    -2.715775224    -0.745465978    3.4608181248     -1.246373173
## 1174     0.314664727    -1.137198246   -0.3000400303     -0.042360943
## 1175     0.351621312    -1.091112097   -0.2201990319     -0.093961467
## 1176     1.062008997     0.176257005   -0.2875431783      0.559645172
## 1177     1.411043409    -0.077216815   -0.1479949987      0.141107587
## 1178     1.427468558    -0.008087591   -0.1764600503      0.444977340
## 1179    -0.506592712    -0.561121382   -0.1264726426     -0.076761293
## 1180     0.979883253    -0.699379829   -0.3534987856      0.605512304
## 1181     1.296067367    -0.618729068   -0.1563262333     -0.071027901
## 1182     0.988095828    -0.572642919   -0.3750211417      0.164041153
## 1183    -0.428573255     0.533424661   -0.2035365627     -0.283163389
## 1184    -0.707800785    -0.169389114   -0.0625998440      0.032173147
## 1185    -1.602971394     0.314515453    0.0595915969     -0.489565485
## 1186     0.885438648    -0.664815217    0.2005283157      1.196051636
## 1187     0.450172205    -0.998939799   -0.2410271185      0.611245696
## 1188     1.172878751    -0.549599844   -0.4208429320      0.095240455
## 1189     0.754037457    -1.240892082   -0.2556067790     -0.283163389
## 1190     0.885438648    -0.238518337   -0.2417213880      0.290175768
## 1191    -0.826883113     3.505981284   -0.1389694945      0.817647792
## 1192     0.009178870     0.487338512    0.0741712575     -0.030894160
## 1193     1.386405686    -0.180910651   -0.2083964496     -0.248763040
## 1194    -0.843308262    -0.998939799   -0.0188608623      0.106707238
## 1195     1.558869748     0.740812333   -0.2826832915     -0.202895907
## 1196     0.565148246     0.936678467   -0.0195551319     -0.799168630
## 1197    -1.418188470     1.005807691    0.1109675436     -0.065294509
## 1198     0.055968634     0.936678467    0.1352669779      1.574455479
## 1199    -0.921327719    -0.895245963   -0.1223070253     -0.220096082
## 1200     0.766356319    -0.883724426   -0.3444732815     -0.466631919
## 1201     0.462491066     0.118649319   -0.2493583531     -0.082494684
## 1202     0.556935672     0.291472378   -0.2215875710     -0.845035763
## 1203    -0.280746916    -0.515035232   -0.1223070253      0.680046395
## 1204    -0.904902570    -0.010832349    0.3241082956     -0.890902895
## 1205     0.372152748    -0.699379829   -0.2840718306     -0.277429997
## 1206     1.928435596    -0.618729068   -0.3757154113     -0.999837335
## 1207     0.725293447     0.107127781    0.3136942524      1.058450238
## 1208     0.294133291    -0.273082949   -0.2604666659      0.376176641
## 1209    -0.559974446    -0.561121382   -0.1771543198      0.261508810
## 1210    -0.777607667    -0.445906009   -0.1230012949      0.049373322
## 1211     0.216113835     0.775376945   -0.1611861202     -0.403564612
## 1212     0.253070419    -0.837638277   -0.2021480236      0.255775419
## 1213     1.172878751    -0.918289038   -0.2639380136     -0.002227202
## 1214     1.402830834     0.314515453   -0.2583838572     -0.386364437
## 1215    -1.192342674     0.233864692   -0.0681540004      0.714446744
## 1216    -0.412148107     1.985138361    0.0873623789      1.304986076
## 1217    -0.843308262    -0.975896724   -0.1653517375      1.591655654
## 1218     1.480850291    -0.676336755   -0.2597723963      0.301642551
## 1219     1.218047911     0.187778543   -0.2028422932     -0.764768281
## 1220    -0.839201975     0.164735468   -0.2451927358     -1.131705341
## 1221    -1.138960940     3.943799701    0.2831463922      0.657112828
## 1222    -1.680990850     2.019702973    0.0838910312      1.712056877
## 1223    -1.085579207     0.049520095   -0.0625998440     -1.189039257
## 1224    -1.323743864    -0.826116739   -0.2153391451     -0.489565485
## 1225    -0.699588210    -0.883724426   -0.2174219537      0.702979961
## 1226    -0.436785830     2.365349091   -0.1646574679      1.069917021
## 1227     1.879160149     0.498860050   -0.2320016143     -0.042360943
## 1228     1.640995492    -0.756987516   -0.1702116243     -0.707434365
## 1229     0.799206616     0.948200004   -0.3076769953     -0.392097829
## 1230    -1.200555248     4.243359671    0.0554259796      0.645646045
## 1231     0.778675180     0.210821617   -0.2389443098     -0.185695732
## 1232     1.127709592    -0.860681351   -0.1993709454     -0.770501672
## 1233     0.979883253     0.084084707   -0.2458870053     -0.501032269
## 1234    -0.444998404    -0.733944441   -0.1216127558      0.198441503
## 1235    -0.904902570     0.233864692   -0.1653517375     -0.197162515
## 1236    -0.637993902    -0.010832349    1.5481055132     -0.294630172
## 1237    -0.609249892    -0.595685994   -0.0716253481     -0.541166010
## 1238     1.066115284    -0.180910651   -0.3055941867     -0.581299751
## 1239    -1.077366632     0.648640034   -0.0792623132     -0.650100449
## 1240     1.271429644    -0.837638277   -0.3930721500     -0.432231570
## 1241    -0.268428055    -0.010832349    0.3803441292     -0.546899401
## 1242     0.602104831     0.383644677   -0.2868489088     -0.065294509
## 1243     1.291961080    -0.780030590   -0.2208933015     -0.443698353
## 1244     1.246791921    -0.100259890    0.3171656001      1.884058624
## 1245     0.072393783    -0.250039875   -0.3590529420     -0.409298004
## 1246    -1.459251342    -0.010832349    2.0896357626     -0.741834715
## 1247     2.433508921    -0.526556770   -0.3083712649     -0.168495558
## 1248     0.310558440    -0.756987516   -0.2694921700     -0.231562865
## 1249    -0.079538844     0.233864692   -0.1854855544     -0.019427377
## 1250    -0.785820241    -0.906767501   -0.1702116243      0.381910033
## 1251    -0.752969944    -0.595685994   -0.0195551319      0.221375069
## 1252    -0.810457965     4.439225805    0.2199678631      1.012583106
## 1253    -0.847414549     0.026477020   -0.0140009754      0.272975593
## 1254     0.877226073    -0.296126024    0.2755094271      2.084727329
## 1255    -0.658525338     0.821463094   -0.2917087956     -0.225829473
## 1256    -1.056835196    -0.872202889   -0.0528800703      0.542444997
## 1257    -1.364806736     6.086805638    0.0915279962      0.702979961
## 1258     0.491235077    -0.998939799   -0.2431099271     -0.420764787
## 1259     0.905970084    -0.307647561   -0.1091159039      0.702979961
## 1260    -0.387510383    -0.687858292   -0.2000652150      0.055106714
## 1261     0.437853343     0.026477020   -0.2840718306     -0.460898528
## 1262     0.433747056     0.706247721   -0.2694921700     -0.220096082
## 1263     0.244857845     0.014955483   -0.2000652150     -0.065294509
## 1264     0.778675180     0.026477020   -0.2806004828     -0.621433492
## 1265    -0.120601716    -0.226996800   -0.2090907191      0.112440629
## 1266     0.009178870     1.409061496   -0.2118677973      0.232841852
## 1267     1.390511973    -0.538078307   -0.2799062133      0.290175768
## 1268     0.688336862    -0.687858292   -0.3437790119     -0.254496431
## 1269    -0.814564252    -0.998939799   -0.2472755444     -0.277429997
## 1270     0.823844340     0.372123139   -0.3069827258     -0.283163389
## 1271     1.636889205     0.671683109   -0.2160334146      0.060840105
## 1272    -1.496207926     1.535798406   -0.0598227658      0.399110208
## 1273     0.844375776    -0.653293680   -0.2472755444     -0.168495558
## 1274     0.934714094    -0.100259890   -0.2056193714      0.089507063
## 1275    -1.216980397    -0.010832349    0.5004527615     -0.850769154
## 1276    -0.108282854     0.740812333   -0.1820142067      0.840581359
## 1277    -0.173983449    -0.826116739   -0.1507720769      0.353243075
## 1278    -1.262149556     1.293846123   -0.0862050087      0.009239581
## 1279     1.316598803    -0.100259890   -0.3035113780     -0.317563738
## 1280     1.193410187    -0.376776785   -0.1521606160      0.313109334
## 1281     0.285920717    -0.572642919   -0.2264474579      0.014972973
## 1282    -1.418188470     0.268429304    0.0470947450     -1.200506040
## 1283     1.271429644    -0.722422904   -0.3944606891     -0.122628425
## 1284     1.530125737     0.095606244   -0.2764348655     -0.644367058
## 1285     0.248964132    -0.826116739   -0.1445236509      0.731646919
## 1286     0.413215620    -0.031130666   -0.1729887025     -0.151295383
## 1287    -0.822776826     2.492086002   -0.0855107391      0.215641678
## 1288    -0.046688546     0.648640034   -0.1931225195     -0.896636287
## 1289     0.947032956    -0.906767501   -0.2882374479      0.307375943
## 1290     1.542444599    -0.906767501   -0.2965686825     -0.334763913
## 1291    -0.929540293    -0.445906009    0.0269609280     -0.174228949
## 1292    -1.631715404     0.706247721    0.0880566485     -0.483832094
## 1293    -0.457317266     0.936678467   -0.2639380136     -0.340497305
## 1294     1.086646720    -0.031130666   -0.2292245361     -0.191429124
## 1295     1.464425142    -0.791552128   -0.2083964496      0.410576991
## 1296    -0.617462466    -0.872202889   -0.2077021800      0.301642551
## 1297     0.569254533    -0.180910651   -0.2667150918      0.089507063
## 1298    -0.490167563    -0.929810575   -0.1604918506      0.645646045
## 1299     0.532297949     0.556467736   -0.2042308323     -0.306096955
## 1300     0.064181208    -0.088738353   -0.2403328489     -0.793435239
## 1301    -3.011427902    -0.010832349    7.4848044395     -2.312784005
## 1302     1.788821831     0.556467736   -0.3007342998      0.444977340
## 1303     0.009178870     0.176257005   -0.3014285694     -0.541166010
## 1304     1.324811378    -0.860681351   -0.1965938672      0.680046395
## 1305     0.240751558     0.049520095    0.1463752907      1.540055130
## 1306    -1.134854653    -0.010832349    0.6295868979     -1.544509534
## 1307    -0.038475972     4.093579686    3.1379827838     13.110039317
## 1308     0.597998544    -0.538078307   -0.3076769953     -0.604233317
## 1309     1.004520976     0.095606244   -0.2417213880     -0.191429124
## 1310    -1.011666037     3.494459746   -0.0049754713     -0.329030522
## 1311    -0.305384639    -0.676336755   -0.1327210686      0.244308635
## 1312    -1.381231885     1.443626108    0.1859486551      0.605512304
## 1313     0.889544935     0.084084707   -0.2493583531     -0.449431745
## 1314    -0.079538844    -0.480470621   -0.1348038772     -0.397831220
## 1315     0.187369824     0.809941556   -0.3055941867      0.404843599
## 1316     0.298239578    -0.503513695   -0.2278359970      0.462177515
## 1317    -1.475676490     1.213195362    0.0075213806     -0.214362690
## 1318    -0.650312764     1.282324586    0.0818082225     -0.168495558
## 1319    -0.457317266    -0.722422904   -0.1625746593     -0.397831220
## 1320    -0.872052273    -0.653293680   -0.0730138872     -0.082494684
## 1321    -1.163598664     0.809941556    0.0609801360      1.499921389
## 1322     0.470703641    -0.180910651   -0.1757657807     -0.329030522
## 1323     0.409109333    -0.010832349    0.2074710112     -0.351964088
## 1324    -1.081472920    -0.422862934   -0.1292497208     -0.351964088
## 1325     1.033264987    -0.399819860   -0.3389191251      0.221375069
## 1326     0.556935672    -0.699379829   -0.1827084762     -0.122628425
## 1327     1.291961080     0.429730826   -0.1854855544     -0.122628425
## 1328     1.066115284    -0.699379829   -0.0403832184      0.863514925
## 1329     0.009178870     1.846879913   -0.1736829721      0.232841852
## 1330    -0.514805286     0.579510811   -0.2812947524      0.037906539
## 1331    -1.722053722     1.639492242    0.2359360627      1.350853208
## 1332     1.275535931    -0.549599844   -0.2743520569     -0.283163389
## 1333     0.437853343     0.210821617   -0.3562758638     -0.535432618
## 1334     0.704762011     0.141692393   -0.2757405960      0.519511431
## 1335     1.484956578     0.049520095   -0.2042308323      0.324576117
## 1336    -1.360700449     1.213195362   -0.0931477042     -0.311830347
## 1337    -0.695481923     2.837732121   -0.0119181668      0.565378563
## 1338     1.628676630    -0.607207531   -0.3396133946     -0.025160768
## 1339    -0.982922027     0.164735468   -0.0188608623      0.118174021
## 1340     0.799206616    -0.676336755   -0.1681288157      0.250042027
## 1341    -0.814564252     0.994286153    0.1331841693     -0.632900275
## 1342    -0.198621172     4.508355028   -0.0403832184      1.018316497
## 1343     0.009178870     1.132544601   -0.1327210686     -0.437964961
## 1344     0.031330911     2.181004495   -0.1993709454     -0.690234190
## 1345    -1.077366632    -0.010832349    0.8802182056     -0.317563738
## 1346    -1.110216930    -0.010832349    0.7017909311     -0.185695732
## 1347     1.074327859     0.095606244   -0.2903202565     -0.191429124
## 1348    -0.465529840     0.395166214   -0.1896511717     -0.082494684
## 1349     1.394618260    -0.042652203   -0.2167276842      1.270585726
## 1350    -0.198621172    -0.010832349    0.4088091808     -1.028504293
## 1351    -0.498380138    -1.056547485    0.0339036235      1.385253558
## 1352    -0.247896619     1.386018421   -0.2750463264      0.806181009
## 1353    -1.336062726     6.582231742    0.3046687482      0.473644298
## 1354     1.406937122    -0.538078307   -0.1625746593      0.135374196
## 1355    -1.360700449    -0.733944441    0.1144388914     -0.495298877
## 1356     1.316598803    -0.123302964   -0.2618552050      0.123907412
## 1357    -1.282680992    -0.653293680    0.0054385720      0.336042900
## 1358    -0.030263397     0.245386229   -0.2903202565      0.014972973
## 1359    -1.446932480     0.418209288   -0.0216379405     -0.592766534
## 1360    -1.619396542    -0.010832349    1.1482062521     -1.716511281
## 1361     1.086646720    -0.572642919   -0.2604666659     -0.552632793
## 1362     1.546550886    -0.503513695   -0.1868740935      0.829114575
## 1363     0.470703641     0.337558527   -0.2604666659     -0.265963214
## 1364     1.279642218    -0.503513695   -0.1084216343      0.238575244
## 1365     0.676018001    -0.019609129   -0.3139254213     -0.306096955
## 1366    -0.067219982    -0.745465978   -0.1292497208     -0.168495558
## 1367     1.435681132     0.233864692   -0.1938167890     -0.334763913
## 1368     0.207901260    -0.676336755   -0.2903202565     -0.673034016
## 1369     0.528191661    -0.468949083   -0.2556067790     -0.632900275
## 1370     1.501381727     0.245386229   -0.1139757907      1.087117196
## 1371     0.630848841    -1.010461336   -0.2542182399     -0.455165136
## 1372    -0.481954989    -0.687858292   -0.0785680436      0.519511431
## 1373     1.443893706    -0.169389114   -0.1729887025     -0.030894160
## 1374     0.009178870     1.316889197   -0.2375557707     -1.252106564
## 1375    -0.633887615     0.821463094   -0.1952053281     -0.925303245
## 1376    -1.249830695     4.854001147    0.2713438098      0.416310382
## 1377     0.009178870     0.821463094   -0.1945110586     -0.048094335
## 1378     0.565148246    -0.607207531   -0.2375557707     -0.260229823
## 1379     0.922395232     0.199300080   -0.1111987125      0.129640804
## 1380     0.864907212    -0.526556770   -0.1618803897     -0.048094335
## 1381    -1.680990850     2.307741405    0.1567893340      0.250042027
## 1382     0.569254533    -0.100259890   -0.2556067790     -0.042360943
## 1383    -1.504420501     0.856027706    0.2102480894      0.272975593
## 1384     0.897757509    -0.010832349   12.7015458420     13.316441413
## 1385     1.324811378    -0.192432188   -0.2375557707     -0.512499052
## 1386     0.877226073     0.256907766   -0.2743520569      0.490844473
## 1387     0.322877302     0.003433946   -0.3666899071     -0.111161642
## 1388     0.725293447    -0.860681351   -0.1035617475     -0.644367058
## 1389    -0.473742414     1.927530674   -0.0209436710      0.295909159
## 1390    -0.083645131     0.982764616   -0.3291993514      0.542444997
## 1391     0.009178870     0.763855407   -0.1549376942     -0.380631046
## 1392    -1.134854653     0.544946199    0.0276551976      0.278708985
## 1393     0.009178870     0.752333870   -0.3236451950     -0.397831220
## 1394     1.542444599    -0.169389114   -0.2799062133      0.192708111
## 1395    -1.032197473    -0.780030590   -0.0785680436     -0.701700974
## 1396     0.009178870     0.510381587   -0.2812947524     -0.695967582
## 1397    -0.699588210    -1.010461336   -0.0966190520      0.634179262
## 1398    -0.810457965     2.780124434   -0.1563262333      0.232841852
## 1399    -0.646206477     4.646613476    0.0005786851     -0.598499925
## 1400     1.661526928    -0.918289038   -0.1958995977     -0.157028774
## 1401    -2.678818639    -1.056547485    8.4040173244     -1.854112679
## 1402    -1.451038767    -0.010832349    0.9413139260     -0.948236811
## 1403    -0.432679543    -0.584164456   -0.0966190520      1.264852335
## 1404    -0.017944536    -0.526556770   -0.1146700603     -0.380631046
## 1405     1.928435596    -0.388298322   -0.1910397108      0.416310382
## 1406    -0.116495428    -0.975896724   -0.2285302666      0.376176641
## 1407     0.009178870     0.579510811   -0.2930973347     -1.338107438
## 1408    -0.350553799    -0.664815217   -0.1903454413      0.771780660
## 1409     0.544616810     0.302993915   -0.2701864396     -0.007960594
## 1410     0.786887755    -0.261561412   -0.2174219537     -0.598499925
## 1411     0.009178870     1.017329228   -0.1674345461     -0.718901148
## 1412     0.392684184    -0.906767501   -0.3035113780     -0.139828600
## 1413    -0.674950487     1.121023063   -0.2188104928      0.410576991
## 1414    -0.444998404    -0.975896724   -0.2333901534     -0.116895033
## 1415     0.261282994    -0.756987516   -0.2375557707      0.215641678
## 1416    -0.691375636     3.379244373    0.1248529347      0.364709858
## 1417    -1.566014809    -0.434384471   -0.1021732084     -0.661567233
## 1418    -0.046688546    -0.353733710   -0.0702368090      0.983916148
## 1419    -2.604905470    -0.010832349    2.1368460920     -2.008914251
## 1420     0.766356319    -0.468949083   -0.1868740935     -0.168495558
## 1421     1.029158699    -0.503513695   -0.3590529420      0.043639930
## 1422    -0.169877162     3.148813627    0.0040500329      1.052716847
## 1423     0.577467108    -0.653293680   -0.3486388988     -0.248763040
## 1424    -0.748863657    -0.250039875   -0.1292497208      0.611245696
## 1425     0.692443149     0.717769258    0.4171404154      1.333653034
## 1426     1.308386229    -0.630250605   -0.2077021800      0.192708111
## 1427     0.519979087    -0.192432188   -0.2819890219      0.674313003
## 1428     1.464425142    -0.780030590   -0.2340844230     -0.197162515
## 1429    -0.198621172    -0.780030590    0.2282990977      0.628445871
## 1430    -0.732438508     0.107127781   -0.0889820869     -0.581299751
## 1431     0.729399734    -0.261561412   -0.2320016143     -0.323297130
## 1432     0.429640769    -0.515035232   -0.2611609354     -0.369164263
## 1433    -1.832923477     0.821463094   -0.0487144530     -0.369164263
## 1434    -0.059007408     0.279950841   -0.2722692482     -0.134095208
## 1435     1.176985039    -0.664815217   -0.2771291351     -0.179962341
## 1436     0.009178870     1.432104570   -0.2792119437     -0.334763913
## 1437     0.507660226    -0.676336755   -0.2438041967     -0.168495558
## 1438     1.423362270    -0.687858292   -0.1979824063     -0.369164263
## 1439     1.255004495    -0.273082949   -0.1764600503      0.244308635
## 1440     1.296067367    -0.664815217   -0.3521102465     -0.655833841
## 1441    -3.011427902    -0.010832349    1.5835132603     -2.370117920
## 1442     0.651380277    -0.722422904   -0.2271417275      0.318842726
## 1443     0.717080873    -0.607207531   -0.2812947524      0.221375069
## 1444    -0.609249892    -0.653293680   -0.0549628789      1.035516672
## 1445     0.392684184    -0.296126024   -0.3201738472     -0.025160768
## 1446     0.396790471     0.164735468   -0.3132311517     -0.678767407
## 1447    -0.371085235    -0.572642919   -0.2195047624     -0.323297130
## 1448     0.257176707    -0.296126024   -0.2604666659     -0.128361817
## 1449    -0.867945985    -0.584164456   -0.0639883831      0.238575244
## 1450    -1.857561200     1.144066138   -0.0355233315     -0.082494684
## 1451    -1.767222881     2.999033643    0.4046435635     -0.013693985
## 1452     0.597998544     1.017329228   -0.2674093614     -0.386364437
## 1453    -1.290893567     3.137292090    0.0102984588     -0.300363564
## 1454     2.076261935    -0.607207531   -0.3055941867     -0.369164263
## 1455     1.004520976    -0.250039875   -0.1563262333      0.943782407
## 1456     0.363940174     0.614075422   -0.2840718306     -0.409298004
## 1457     0.979883253    -0.641772143   -0.3659956376     -0.627166883
## 1458     0.745824883    -0.203953726   -0.2660208223      0.164041153
## 1459     1.571188609    -0.445906009   -0.3312821600     -0.059561118
## 1460     0.470703641     0.406687751   -0.1896511717     -0.609966708
## 1461     0.425534482    -0.883724426   -0.2299188057     -0.455165136
## 1462    -0.543549297    -0.010832349    0.6698545318     -0.506765660
## 1463     2.199450551    -0.722422904   -0.3069827258      0.181241328
## 1464     1.181091326    -0.411341397   -0.1924282499      0.014972973
## 1465    -1.373019311    -0.561121382   -0.0355233315      0.467910907
## 1466    -1.323743864    -0.595685994   -0.0973133215     -0.890902895
## 1467    -0.215046321    -0.687858292   -0.2250589188     -0.145561991
## 1468    -3.011427902    -1.448279753   15.4571016880     -3.172792740
## 1469     0.786887755     0.164735468   -0.3229509254      0.152574370
## 1470     1.460318855    -0.826116739   -0.3479446292     -0.495298877
## 1471     1.402830834    -0.307647561    0.2033053939      1.115784154
## 1472    -3.011427902    -0.010832349    1.4377166547     -2.461852185
## 1473     0.006693188    -0.952853650   -0.3521102465      0.250042027
## 1474     0.009178870     1.351453809   -0.3305878905     -1.343840829
## 1475     0.162732101    -0.042652203    0.2046939330      0.697246569
## 1476     0.450172205    -0.203953726   -0.2826832915     -0.472365311
## 1477     0.009178870     2.296219868   -0.0612113049      1.075650413
## 1478    -0.132920577     0.176257005   -0.2819890219     -0.609966708
## 1479    -0.325916075     1.040372302   -0.2729635178     -0.311830347
## 1480     1.423362270    -0.330690636   -0.2160334146     -0.260229823
## 1481     0.790994042    -0.008087591   -0.2687979005      0.209908286
## 1482     0.745824883    -0.157867576   -0.2042308323     -0.271696606
## 1483     0.478916215    -0.226996800   -0.2486640835      0.278708985
## 1484    -0.576399594     1.962095286   -0.2500526226      0.318842726
## 1485     1.743652672    -0.607207531   -0.2514411617     -0.351964088
## 1486    -1.434613618     0.487338512    0.0401520495      0.032173147
## 1487    -1.023984899    -0.814595202   -0.0271920969      0.513778039
## 1488    -0.518911574    -0.607207531   -0.0507972616     -0.369164263
## 1489    -0.408041819    -0.918289038   -0.1986766759      0.588312130
## 1490     0.092925219    -0.538078307   -0.2764348655     -0.695967582
## 1491    -1.537270798     1.697099928    0.2567641493      0.324576117
## 1492     0.589785969    -0.434384471   -0.2215875710     -0.432231570
## 1493     0.039543485    -0.399819860    0.1685919163      1.941392540
## 1494    -0.531230435     2.088832196   -0.1445236509     -0.787701847
## 1495     1.530125737    -0.376776785   -0.3194795777     -0.495298877
## 1496     1.000414689     0.061041632   -0.3160082299      0.175507937
## 1497    -1.011666037    -0.111781427    0.0616744056      0.473644298
## 1498     0.236645271    -0.595685994   -0.1827084762     -0.191429124
## 1499    -0.568187020    -0.687858292   -0.1375809554     -0.116895033
## 1500    -1.504420501     2.065789122    0.2414902191      1.901258799
## 1501    -0.009731961     0.222343154   -0.1049502866     -0.254496431
## 1502    -0.420360681    -0.503513695   -0.1965938672      0.003506189
## 1503     0.355727599    -0.768509053   -0.2132563364      0.227108461
## 1504     0.277708142    -0.077216815   -0.2924030652     -0.254496431
## 1505     0.901863796     0.049520095   -0.2701864396     -0.753301498
## 1506     0.680124288    -0.010832349    0.3879810943     -1.011304118
## 1507    -0.613356179    -0.010832349    0.5344719695     -0.764768281
## 1508    -1.015772324    -0.561121382   -0.0202494014     -0.248763040
## 1509    -0.555868158    -1.091112097   -0.1341096077     -0.036627552
## 1510     1.587613758    -0.630250605   -0.2444984662      0.204174894
## 1511    -0.379297809    -1.091112097   -0.1757657807      0.009239581
## 1512    -3.011427902    -0.010832349    1.1211297396     -2.278383655
## 1513     0.922395232    -0.330690636   -0.3139254213     -0.225829473
## 1514    -0.108282854    -1.079590560   -0.2181162233      0.227108461
## 1515     0.712974585     0.061041632   -0.0896763565      0.272975593
## 1516    -0.929540293    -1.056547485    0.0068271111     -0.655833841
## 1517     1.534232025    -0.353733710   -0.2444984662      0.313109334
## 1518    -0.588718456    -1.079590560   -0.1799313980      0.141107587
## 1519     0.376259035     0.279950841    0.1915028115      1.127250937
## 1520     1.333023952    -0.180910651   -0.1729887025     -0.351964088
## 1521     0.897757509    -0.803073665   -0.2639380136     -0.139828600
## 1522     0.179157250    -0.010832349    0.5393318563     -1.045704468
## 1523    -0.732438508     0.061041632    0.0179354239      0.880715100
## 1524     0.593892257    -0.319169098   -0.1958995977     -0.478098702
## 1525     1.349449101    -0.526556770   -0.3812695677     -0.162762166
## 1526     1.369980537    -0.157867576   -0.3215623863     -0.678767407
## 1527     1.604038907    -0.906767501   -0.3798810286     -0.225829473
## 1528     0.688336862    -0.031130666   -0.2167276842     -0.638633666
## 1529     0.138094378    -1.021982873   -0.1167528689     -0.248763040
## 1530    -0.925434006    -0.468949083   -0.1535491551      0.014972973
## 1531     0.873119786    -0.538078307    0.4032550244      3.076604071
## 1532     0.762250032    -0.330690636   -0.2708807091     -0.455165136
## 1533     1.259110782    -1.114155172   -0.2368615012     -0.248763040
## 1534     0.400896758    -0.376776785   -0.1827084762     -0.260229823
## 1535     0.068287495    -0.722422904   -0.3048999171     -0.609966708
## 1536     1.016839838     0.291472378   -0.3132311517      0.508044648
## 1537    -0.449104691     1.616449167    0.2824521226      3.265805992
## 1538     0.009178870     1.132544601   -0.2646322832     -0.913836462
## 1539    -0.416254394     0.809941556   -0.2812947524      0.261508810
## 1540     0.614423693    -0.192432188   -0.3007342998     -0.174228949
## 1541     0.359833886     0.441252363   -0.2674093614     -0.197162515
## 1542    -0.346447511     1.144066138   -0.2195047624      0.536711605
## 1543     0.154519527    -0.929810575   -0.1757657807      1.316452859
## 1544    -0.091857705    -0.008087591   -0.3000400303     -0.099694859
## 1545    -1.163598664     3.667282806    0.0269609280     -0.455165136
## 1546    -0.444998404    -1.206327470   -0.1479949987      1.620322612
## 1547     0.097031506     0.544946199   -0.1965938672     -0.093961467
## 1548    -0.284853203     0.591032348   -0.1125872516      0.571111955
## 1549     1.386405686    -0.284604487   -0.3000400303     -0.432231570
## 1550    -1.011666037    -0.975896724   -0.1098101734      0.089507063
## 1551    -0.752969944    -0.929810575   -0.1820142067      0.720180136
## 1552    -1.570121096     0.222343154   -0.1063388257     -0.827835588
## 1553    -0.444998404     5.026824207   -0.0563514180      0.209908286
## 1554     2.470465505    -0.561121382   -0.2868489088      0.261508810
## 1555     1.263217070    -0.491992158   -0.1188356776      0.611245696
## 1556     0.602104831    -0.296126024   -0.2208933015      0.181241328
## 1557     0.930607807    -0.077216815   -0.1236955644      0.215641678
## 1558     1.271429644     0.256907766   -0.2646322832     -0.311830347
## 1559     0.577467108    -0.952853650   -0.2035365627      0.869248316
## 1560    -0.629781328    -0.503513695   -0.0931477042      0.444977340
## 1561     0.667805426    -0.503513695   -0.3104540735     -0.197162515
## 1562    -1.294999854    -0.607207531   -0.0903706260     -1.068638034
## 1563     0.688336862    -0.399819860   -0.2528297008      0.404843599
## 1564     0.400896758     0.199300080   -0.2806004828      0.880715100
## 1565    -0.941859155    -0.549599844   -0.0952305129     -0.707434365
## 1566     0.692443149    -0.491992158   -0.2090907191     -0.609966708
## 1567     1.255004495    -0.468949083   -0.2507468922     -0.346230696
## 1568    -0.124708003    -1.079590560   -0.1938167890      0.869248316
## 1569     2.733267886    -0.687858292   -0.2882374479     -0.374897654
## 1570    -1.237511833    -0.883724426   -0.0938419738      0.605512304
## 1571     1.661526928     0.464295438   -0.2292245361      1.001116323
## 1572     0.692443149     0.971243079   -0.1348038772      0.731646919
## 1573     1.608145194    -1.102633635   -0.3930721500      0.095240455
## 1574    -0.716013359    -0.010832349    0.4747647881     -0.529699226
## 1575     0.009178870     1.916009137   -0.2215875710     -0.099694859
## 1576     1.086646720    -0.814595202   -0.3410019337     -0.581299751
## 1577    -0.650312764    -0.503513695   -0.1736829721      0.662846220
## 1578    -0.859733411     2.434478315    0.0651457533      1.906992190
## 1579     0.585679682     0.441252363   -0.3319764296      0.083773671
## 1580    -1.245724407    -0.895245963    0.0026614938     -0.231562865
## 1581    -0.284853203     3.275550538   -0.0285806360      1.373786775
## 1582     0.696549437    -0.561121382   -0.2278359970      0.078040280
## 1583     0.236645271     1.305367660   -0.2660208223      0.055106714
## 1584     0.942926668    -0.664815217   -0.3861294545     -0.323297130
## 1585    -1.471570203    -0.100259890   -0.1528548855     -0.862235937
## 1586     1.480850291     0.003433946   -0.2326958839     -0.243029648
## 1587    -0.703694497    -0.918289038   -0.2014537541      0.639912654
## 1588     1.115390731    -0.491992158   -0.2313073448      1.006849714
## 1589    -0.909008857     1.916009137   -0.2021480236      0.186974720
## 1590     0.491235077     0.187778543   -0.2576895877      0.026439756
## 1591    -0.814564252    -0.745465978   -0.0480201834      0.358976467
## 1592    -1.381231885    -0.010832349    0.4476882756     -1.211972823
## 1593     0.101137793    -1.102633635   -0.1952053281     -0.099694859
## 1594     1.870947575    -0.664815217   -0.1250841035      0.605512304
## 1595    -0.937752868    -0.010832349    1.0579512105     -0.145561991
## 1596    -0.748863657    -0.561121382   -0.1348038772     -0.277429997
## 1597     0.955245530    -1.114155172   -0.3951549587     -0.535432618
## 1598     1.583507471    -0.710901367   -0.2035365627      0.158307762
## 1599    -1.471570203    -0.664815217    0.0630629447     -0.334763913
## 1600    -0.383404096    -1.068069023   -0.1299439904     -0.007960594
## 1601    -0.387510383     0.037998558   -0.2861546392     -0.179962341
## 1602     0.009178870     1.892966062   -0.0591284962     -0.185695732
## 1603    -1.282680992    -0.434384471   -0.0195551319     -0.678767407
## 1604    -0.346447511    -0.111781427   -0.1847912849     -0.627166883
## 1605     0.298239578     0.061041632   -0.2514411617     -0.558366184
## 1606    -2.481716854    -0.826116739    2.4291335728     -0.437964961
## 1607     0.676018001    -0.146346039   -0.2576895877     -0.174228949
## 1608     1.205729049     0.072563170   -0.0903706260     -0.243029648
## 1609     1.205729049    -0.365255248   -0.1570205028     -0.237296256
## 1610    -1.426401044    -0.284604487   -0.0882878174     -0.386364437
## 1611    -0.514805286    -1.183284396   -0.1903454413     -0.185695732
## 1612     0.552829385    -0.791552128   -0.3403076642     -0.495298877
## 1613     0.437853343    -0.054173741   -0.1035617475     -0.243029648
## 1614     0.294133291    -0.353733710   -0.1827084762     -0.191429124
## 1615     0.565148246    -0.111781427   -0.2528297008     -0.197162515
## 1616    -3.011427902    -0.010832349    1.7487494133     -1.584643275
## 1617    -0.761182518    -1.160241321   -0.1722944330      0.594045521
## 1618     0.368046461    -0.526556770   -0.2694921700     -0.397831220
## 1619    -0.904902570    -0.491992158   -0.0910648956     -0.191429124
## 1620     1.041477561    -0.975896724   -0.2847661001     -0.013693985
## 1621     0.951139243    -0.572642919   -0.1993709454     -0.283163389
## 1622    -0.543549297    -0.803073665   -0.0820393914      0.869248316
## 1623     0.372152748    -0.203953726   -0.2097849887     -0.472365311
## 1624     2.178919115    -0.699379829    0.1984455070      2.749800751
## 1625     0.589785969    -0.411341397   -0.3430847424     -0.294630172
## 1626    -0.761182518    -1.010461336   -0.1549376942      0.066573497
## 1627    -0.748863657     1.386018421   -0.1466064596      0.376176641
## 1628     1.443893706     0.521903124   -0.2542182399      0.456444123
## 1629     0.409109333    -0.010832349    0.1116618132     -1.131705341
## 1630    -1.668671989    -0.010832349    2.2979166277     -0.449431745
## 1631    -1.118429504    -0.226996800   -0.0001155844      0.232841852
## 1632     0.109350367    -0.814595202   -0.1910397108      0.341776292
## 1633    -1.192342674    -0.010832349    0.5990390376     -0.128361817
## 1634     1.205729049    -0.008087591   -0.3111483431     -0.294630172
## 1635     1.624570343    -0.641772143   -0.2521354313      1.241918768
## 1636    -0.568187020    -1.137198246   -0.2042308323      0.123907412
## 1637     0.318771014    -0.250039875   -0.2389443098      0.089507063
## 1638    -0.095963992    -0.054173741   -0.2431099271      0.146840979
## 1639    -1.270362131     0.475816975    0.1352669779     -0.667300624
## 1640     0.758143745    -0.722422904   -0.2792119437     -0.220096082
## 1641    -0.872052273    -0.872202889   -0.1729887025     -0.392097829
## 1642     0.009178870     1.040372302   -0.1257783731     -0.632900275
## 1643     0.294133291     0.856027706   -0.2458870053      0.089507063
## 1644     1.263217070    -0.641772143   -0.3194795777     -0.334763913
## 1645    -1.258043269     1.489712257    0.1942798897      0.055106714
## 1646    -0.670844200    -0.010832349    0.4476882756     -0.632900275
## 1647     1.538338312     0.867549243   -0.1292497208     -0.151295383
## 1648     1.595826333    -0.261561412   -0.2479698140     -0.523965835
## 1649    -1.147173515    -0.250039875   -0.1577147724      0.250042027
## 1650    -1.003453463    -0.780030590   -0.3083712649     -0.449431745
## 1651    -0.621568754    -0.010832349    0.7309502522     -0.787701847
## 1652    -0.235577757     0.107127781   -0.2958744130     -0.329030522
## 1653     0.009178870     0.164735468   -0.3146196908     -0.007960594
## 1654    -0.752969944    -0.010832349    0.1790059596     -1.022770901
## 1655     0.088818931    -0.572642919   -0.2250589188     -0.369164263
## 1656    -0.728332221     0.856027706   -0.1917339804      0.284442376
## 1657    -0.494273850    -0.952853650   -0.1639631984      0.892181883
## 1658    -0.843308262    -0.768509053   -0.0133067059     -0.455165136
## 1659    -0.235577757     2.515129076   -0.0445488357     -0.776235064
## 1660     0.766356319     0.591032348   -0.2701864396      0.186974720
## 1661    -1.003453463    -0.584164456    0.0123812675      0.966715973
## 1662     0.630848841    -0.319169098   -0.3291993514     -0.139828600
## 1663     0.372152748     0.061041632   -0.2903202565     -0.099694859
## 1664    -0.231471470    -0.077216815   -0.2743520569     -0.931036636
## 1665     2.215875699     0.037998558   -0.2875431783      0.714446744
## 1666    -0.235577757    -1.010461336   -0.1882626326      0.026439756
## 1667     1.415149696    -0.975896724   -0.4340340535     -0.552632793
## 1668    -1.344275300    -0.273082949    0.0005786851      0.886448491
## 1669     1.349449101    -0.088738353   -0.3021228389      0.748847093
## 1670    -0.137026864    -0.722422904    0.2137194371      2.336996558
## 1671    -1.262149556    -0.010832349    0.7663579993     -0.925303245
## 1672     0.281814430    -0.941332112   -0.2292245361     -0.495298877
## 1673     1.205729049    -0.987418262   -0.3555815943     -0.541166010
## 1674     0.758143745    -0.342212173   -0.2042308323     -0.237296256
## 1675     0.088818931    -0.803073665   -0.1542434246      0.513778039
## 1676    -0.440892117     0.809941556   -0.2507468922     -0.437964961
## 1677    -1.245724407    -0.157867576    0.0082156502     -0.042360943
## 1678    -1.315531290    -0.010832349    1.0183778462     -0.770501672
## 1679    -1.102004356    -0.111781427   -0.1354981468     -0.403564612
## 1680     1.242685634    -0.515035232   -0.2819890219     -0.019427377
## 1681     1.435681132    -0.353733710   -0.2674093614      0.657112828
## 1682    -0.440892117    -0.607207531   -0.1681288157      0.422043774
## 1683     0.121669229    -1.183284396   -0.1736829721     -0.237296256
## 1684    -1.381231885     1.581884555    0.1373497866      1.499921389
## 1685    -1.159492376    -0.284604487   -0.0980075911     -0.931036636
## 1686     0.877226073    -0.491992158   -0.2077021800     -0.111161642
## 1687     0.216113835    -1.183284396   -0.2486640835     -0.306096955
## 1688    -1.163598664     2.503607539    0.1651205686      0.490844473
## 1689    -0.502486425    -0.526556770   -0.1438293814      1.224718594
## 1690     0.544616810     0.118649319   -0.1875683631     -0.116895033
## 1691     1.119497018    -0.010832349    0.3282739130     -1.206239432
## 1692     0.257176707    -0.710901367   -0.2111735278     -0.111161642
## 1693     0.717080873    -0.296126024   -0.2292245361      0.393376816
## 1694     0.749931170     0.487338512   -0.1931225195      0.788980834
## 1695    -0.190408598     0.510381587   -0.1695173548     -0.179962341
## 1696    -0.958284304    -0.065695278   -0.0507972616     -0.432231570
## 1697    -1.619396542     1.985138361    0.2581526884      0.456444123
## 1698     1.004520976    -0.273082949   -0.2444984662     -0.392097829
## 1699     0.121669229    -0.975896724   -0.2903202565      0.399110208
## 1700    -1.397657034    -0.422862934   -0.0153895145     -0.007960594
## 1701     0.031330911    -0.010832349    0.1116618132     -0.667300624
## 1702     1.176985039    -0.399819860   -0.1125872516      0.508044648
## 1703     0.363940174    -0.123302964   -0.2493583531     -0.483832094
## 1704     0.725293447    -0.998939799   -0.1563262333      0.433510557
## 1705     1.427468558    -1.021982873   -0.1479949987     -0.042360943
## 1706    -0.958284304    -0.088738353   -0.1028674779     -0.202895907
## 1707    -0.674950487     0.026477020   -0.1389694945     -0.317563738
## 1708     1.127709592    -0.826116739   -0.3229509254     -0.093961467
## 1709    -0.564080733     2.042746047    0.0651457533      1.390986949
## 1710    -0.260215480     1.754707615    0.2046939330      1.327919642
## 1711     1.464425142    -0.929810575   -0.2958744130     -0.357697479
## 1712    -0.083645131    -0.330690636   -0.3069827258     -0.764768281
## 1713    -1.475676490     1.662535316   -0.0570456876     -0.386364437
## 1714    -1.701522286     4.312488894    0.4629622057      0.720180136
## 1715    -0.432679543    -0.780030590   -0.0417717575      0.571111955
## 1716     1.209835336    -0.399819860   -0.2507468922      0.066573497
## 1717     1.025052412     0.821463094    0.2033053939      1.110050762
## 1718    -0.572293307    -0.826116739   -0.1202242167      0.737380310
## 1719     1.489062866    -0.538078307   -0.1785428589     -0.432231570
## 1720    -1.056835196    -0.860681351   -0.2132563364     -0.185695732
## 1721    -0.707800785     1.501233794    0.2727323489      0.548178389
## 1722    -0.822776826    -0.572642919   -0.1341096077     -0.260229823
## 1723    -0.256109193     0.763855407   -0.2417213880      0.393376816
## 1724     0.462491066     0.153213931   -0.1806256676     -0.036627552
## 1725    -0.580505882     2.664909061    0.0825024921     -0.105428250
## 1726    -0.288959491    -0.584164456   -0.2993457607     -0.604233317
## 1727     0.947032956    -1.148719784   -0.3479446292     -0.185695732
## 1728    -1.040410048     1.259281511   -0.2424156576     -0.374897654
## 1729    -1.044516335    -0.296126024    0.0276551976     -0.718901148
## 1730     0.807419191    -0.491992158   -0.4104288888     -0.025160768
## 1731     0.901863796     0.003433946   -0.1820142067      0.364709858
## 1732    -1.171811238    -0.837638277   -0.0653769222     -0.776235064
## 1733     0.437853343    -0.411341397   -0.3889065327     -0.896636287
## 1734     0.009178870     0.821463094   -0.1382752250      0.508044648
## 1735    -0.978815740     3.068162866    0.0422348581     -0.059561118
## 1736    -2.465291705     2.284698330    8.2832144226      5.650896885
## 1737     1.049690135    -0.284604487   -0.2500526226     -0.288896781
## 1738    -1.746691445     2.088832196    0.1019420395      1.350853208
## 1739     0.437853343     0.832984631   -0.3160082299     -0.455165136
## 1740    -0.872052273     1.581884555   -0.2250589188     -0.093961467
## 1741    -2.079300708    -0.010832349    1.4432708111     -1.395441353
## 1742     1.226260485    -0.538078307   -0.1792371285      0.892181883
## 1743    -0.108282854    -0.733944441   -0.2132563364     -0.638633666
## 1744    -0.334128650    -1.079590560   -0.1813199371      0.657112828
## 1745     0.314664727     0.061041632   -0.1716001634     -0.248763040
## 1746    -0.662631626     0.406687751   -0.2646322832     -0.867969329
## 1747     0.314664727    -0.883724426   -0.1979824063      0.204174894
## 1748    -0.186302311    -1.148719784   -0.2639380136      0.238575244
## 1749     0.009178870     0.959721541   -0.2521354313     -0.994103944
## 1750     0.766356319    -0.699379829   -0.1993709454     -0.770501672
## 1751    -1.282680992    -0.238518337   -0.0126124363      0.680046395
## 1752     0.277708142    -0.595685994   -0.1591033115     -0.489565485
## 1753    -1.726160009    -0.010832349    1.8112336728      0.444977340
## 1754    -0.436785830     2.549693688    0.0116869979      1.339386425
## 1755    -0.481954989     0.717769258   -0.0091410886     -0.959703594
## 1756    -2.580267746    -0.595685994    3.6795130332     -1.091571600
## 1757     0.762250032     0.026477020   -0.2514411617      0.238575244
## 1758     0.248964132    -0.952853650   -0.1771543198     -0.151295383
## 1759    -0.966496878    -1.021982873   -0.2257531883     -0.088228076
## 1760     0.068287495    -0.676336755   -0.1771543198      0.146840979
## 1761     0.072393783    -0.653293680   -0.2139506060     -0.489565485
## 1762     1.004520976    -1.194805933   -0.3048999171     -0.191429124
## 1763    -0.239684044    -0.826116739   -0.1514663464      0.353243075
## 1764     0.150413239     0.222343154   -0.2604666659     -0.254496431
## 1765    -0.403935532     1.005807691   -0.1264726426     -0.569832967
## 1766    -1.208767823     5.833331817    0.0394577799     -0.019427377
## 1767     0.376259035    -0.837638277   -0.1882626326     -0.386364437
## 1768     0.043649772     0.210821617   -0.2930973347     -0.386364437
## 1769     0.881332360    -0.699379829   -0.3312821600     -0.122628425
## 1770    -0.839201975     1.432104570   -0.1132815212      0.301642551
## 1771    -0.083645131    -0.872202889   -0.1813199371     -0.237296256
## 1772     0.039543485    -0.872202889   -0.2653265527      0.806181009
## 1773    -0.732438508    -0.826116739   -0.2333901534      0.083773671
## 1774    -0.354660086    -0.653293680   -0.0827336609     -1.309440480
## 1775    -1.512633075     0.176257005   -0.1091159039     -0.564099576
## 1776     1.222154198    -0.088738353   -0.0160837841      0.244308635
## 1777     1.230366772    -0.491992158   -0.3257280036     -0.558366184
## 1778    -2.301040217     1.017329228    5.1353962806      2.187928377
## 1779     0.979883253    -0.388298322   -0.2160334146     -0.099694859
## 1780     0.676018001    -0.895245963   -0.2743520569      0.014972973
## 1781     1.016839838    -0.780030590   -0.3507217074     -1.097304992
## 1782    -1.253936982     0.072563170   -0.0487144530      0.702979961
## 1783    -0.551761871    -0.814595202   -0.0931477042     -0.025160768
## 1784     0.565148246    -0.860681351   -0.3007342998     -0.007960594
## 1785    -1.697415999     0.579510811   -0.1028674779     -0.208629299
## 1786     0.745824883    -0.572642919   -0.1639631984      0.525244822
## 1787    -0.153452013    -0.238518337   -0.2451927358      0.519511431
## 1788    -0.268428055     0.395166214   -0.3021228389     -0.564099576
## 1789    -0.215046321    -0.376776785   -0.1507720769     -0.116895033
## 1790    -1.073260345    -1.079590560   -0.0785680436     -0.701700974
## 1791    -0.900796283    -0.872202889   -0.1111987125     -0.351964088
## 1792     0.294133291    -0.100259890   -0.1320267990     -0.523965835
## 1793    -1.537270798    -0.008087591    0.0401520495     -0.426498178
## 1794     0.667805426     0.095606244   -0.2285302666      0.324576117
## 1795    -0.568187020     1.086458452   -0.2153391451     -0.856502546
## 1796    -0.867945985    -0.572642919    0.0859738398     -0.134095208
## 1797    -0.744757369    -0.872202889   -0.1986766759      0.467910907
## 1798     0.097031506    -1.079590560   -0.2153391451      0.255775419
## 1799     0.712974585    -0.768509053   -0.3382248555     -0.661567233
## 1800     1.148241028     0.118649319   -0.3007342998     -0.007960594
## 1801     0.556935672     0.291472378   -0.2653265527      0.003506189
## 1802    -0.301278352     1.270803048   -0.3403076642     -0.374897654
## 1803     0.745824883     0.049520095   -0.2778234046      0.307375943
## 1804     1.213941623    -0.330690636   -0.2396385794     -0.019427377
## 1805     0.565148246     0.222343154   -0.2625494745      0.083773671
## 1806     0.778675180    -0.975896724   -0.2861546392      0.599778913
## 1807     1.571188609    -0.618729068   -0.1709058939     -0.306096955
## 1808     1.250898208    -0.687858292   -0.1889569022     -0.971170377
## 1809     0.712974585    -0.676336755   -0.3430847424     -0.139828600
## 1810    -1.102004356    -0.307647561   -0.1736829721     -0.265963214
## 1811     0.532297949    -0.273082949   -0.2514411617      0.341776292
## 1812     0.778675180    -0.296126024   -0.1889569022     -0.615700100
## 1813    -0.342341224     0.648640034   -0.2875431783     -0.816368805
## 1814    -0.716013359    -1.206327470   -0.0341347924     -0.724634540
## 1815     0.799206616    -0.526556770   -0.2986514912      0.014972973
## 1816     0.930607807    -1.137198246   -0.2583838572     -0.415031395
## 1817    -1.812392041     1.386018421    0.2088595503      1.207518419
## 1818    -1.163598664    -0.618729068   -0.2556067790     -0.145561991
## 1819     0.437853343     0.372123139   -0.2681036309     -0.300363564
## 1820    -0.001519387     0.141692393   -0.2160334146     -0.254496431
##      TEAM_PITCHING_SO TEAM_FIELDING_E TEAM_FIELDING_DP
## 1       -0.0814518285   -0.5328996876      0.143260719
## 2       -0.1645003376    0.4333723148     -0.883395597
## 3       -0.5068635794   -0.2349303476      1.005652024
## 4        0.4524314445   -0.4605357050      0.102194466
## 5        0.0541375742   -0.5073594584      1.046718277
## 6       -0.0051827895   -0.4690491147      0.594989498
## 7       -0.5288968573   -0.2732406913     -0.801263092
## 8        0.2507422081    0.3610083322     -1.047660608
## 9       -0.4712713612   -0.2264169379     -0.678064334
## 10       0.5100569407   -0.6435740138      0.964585772
## 11      -0.5763531483   -0.1540529554     -1.868985661
## 12      -0.0390801402    2.1232841427     -0.801263092
## 13      -0.5848274860    1.0037707655     -0.005073062
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## 609     -0.4272048053    0.9228933733     -0.005073062
## 610     -0.0039447722    0.4589125439     -2.279648187
## 611     -0.4288996729   -0.0646621534      0.389658235
## 612     -0.3611049715   -0.5158728681      0.184326971
## 613      0.4015854185   -0.4818192293     -0.678064334
## 614      0.1439655534   -0.5456698021     -0.678064334
## 615      0.6270028005   -0.5371563924     -0.144203050
## 616      0.2659960159   -0.4520222953      0.841387014
## 617     -0.4560175534   -0.0518920388      0.718188256
## 618      0.2032859171   -0.6861410624     -0.513799324
## 619      0.0456632365   -0.6265471944      0.389658235
## 620     -0.4255099378   -0.2945242156      0.307525729
## 621      0.1066784677   -0.4435088856      0.718188256
## 622      0.2812498237   -0.7031678818     -0.103136797
## 623     -0.4644918911   -0.4435088856      3.346428425
## 624      0.2541319431   -0.5839801458      0.553923245
## 625      0.1643039638   -0.5414130973      1.334182046
## 626      0.3524342601   -0.4988460487     -0.554865576
## 627     -0.5814377509   -0.3711449030     -0.267401808
## 628      0.2507422081   -0.7031678818      0.266459477
## 629      0.5083620731   -0.6435740138     -0.308468060
## 630     -0.2289053039   -0.5499265070      1.375248298
## 631     -0.0039447722   -0.0263518097     -1.622588145
## 632     -0.2865308001    0.0885792214     -1.294058124
## 633      0.6236130654   -0.5584399167      0.923519519
## 634      0.2032859171   -0.5712100313     -0.185269302
## 635     -0.4441534807   -0.2093901185      1.169917035
## 636     -0.4373740105   -0.1881065942      0.471790740
## 637      0.4863287952   -0.6691142430      1.293115793
## 638      0.1659988314    1.6507899037     -0.005073062
## 639      0.1202374080   -0.4988460487     -0.472733071
## 640      0.1626090963   -0.5328996876      0.389658235
## 641     -0.5627942080    0.6078972139     -1.458323134
## 642     -0.0039447722    0.3524949225     -1.868985661
## 643      0.3524342601   -0.6222904895      0.143260719
## 644      0.1693885664   -0.5754667361      0.923519519
## 645      1.5574850764    2.9363147702     -0.005073062
## 646      0.0287145612   -0.5031027536      0.553923245
## 647      0.1219322755    1.5358588725     -0.005073062
## 648      0.1049836002   -0.4988460487      1.046718277
## 649     20.2332304279    1.9785561776     -0.005073062
## 650     -0.6034710288   -0.1497962505      0.759254509
## 651     -0.5763531483    0.1311462700      0.553923245
## 652      0.2880292938   -0.5414130973     -0.308468060
## 653     -0.0153519947   -0.6010069653      1.662712067
## 654      0.4812441926   -0.6776276527     -0.349534313
## 655     -0.1831438805    1.4634948900     -0.005073062
## 656      0.5524286290   -0.6052636701      0.020061961
## 657     -0.5085584469   -0.2689839865      1.375248298
## 658      0.4659903848   -0.4775625244     -0.185269302
## 659      0.3490445250   -0.6435740138      1.210983288
## 660     -0.2712769923    1.8976787853     -1.951118166
## 661      0.2066756522   -0.5499265070      0.389658235
## 662     -0.1746695429   -0.2774973962      0.800320761
## 663     -0.7729577822    3.6259009569     -0.005073062
## 664     -0.1899233507    1.2251194180     -0.005073062
## 665     -0.3238178858   -0.2860108059     -1.745786903
## 666      0.4422622393   -0.4392521807      0.061128214
## 667      0.5032774705   -0.6435740138     -0.431666818
## 668      0.3320958497   -0.1625663651      0.923519519
## 669      0.3490445250   -0.5754667361     -1.458323134
## 670      0.3761624055    1.3059968103     -0.005073062
## 671     -0.2306001715   -0.3243211496     -0.103136797
## 672     -0.1102645766   -0.5031027536      2.484037120
## 673     -0.4746610963    1.5103186434     -0.005073062
## 674     -0.1017902389   -0.4860759341      0.307525729
## 675      0.1066784677   -0.5669533264      0.430724487
## 676      0.2287089301   -0.5924935556      1.580579561
## 677     -0.1492465298    0.2588474157     -1.499389387
## 678     -0.3797485144   -0.4562790002      2.401904614
## 679      0.4473468419   -0.7031678818      0.964585772
## 680     -0.4170356001   -0.2945242156      0.020061961
## 681      1.0863119021   -0.4137119516     -1.335124376
## 682      0.0965092625   -0.4477655904     -0.103136797
## 683      0.1982013145   -0.4860759341     -0.144203050
## 684      0.6439514758   -0.6265471944      0.882453266
## 685      0.2236243275   -0.5158728681     -0.965528103
## 686      0.1185425404   -0.4818192293      0.348591982
## 687     -0.7695680471   -0.1710797748      0.020061961
## 688     -0.3102589455   -0.0774322680     -0.021004292
## 689      0.4270084315    2.1615944864     -2.813509472
## 690     -0.4000869248   -0.0859456777      0.636055751
## 691     -0.4255099378    0.0758091069     -1.335124376
## 692      0.4032802861   -0.4094552467     -0.801263092
## 693     -0.2407693767    1.6167362648     -0.005073062
## 694      0.3405701873   -0.6648575381      0.102194466
## 695     -0.0039447722    0.2673608254     -2.443913198
## 696      0.3422650549   -0.4775625244     -0.103136797
## 697      0.4015854185   -0.2647272816     -0.185269302
## 698     -0.0039447722    0.5483033459     -0.636998081
## 699      0.0032915482   -0.4137119516      0.471790740
## 700      0.2609114133   -0.6903977672      1.046718277
## 701     -0.0039447722    0.2333071865     -1.992184419
## 702      0.0761708521   -0.3966851322      0.389658235
## 703     -0.6780452003    0.9228933733     -0.005073062
## 704     -0.3305973559   -0.4945893439      1.005652024
## 705     -0.0039447722    0.7824221130     -1.581521892
## 706      0.1626090963   -0.6733709478      0.307525729
## 707     -0.1543311324    1.3698473832     -0.005073062
## 708     -0.0390801402    0.0460121729     -1.047660608
## 709      0.1727783015   -0.3030376253      0.636055751
## 710      0.1575244937   -0.5499265070      0.020061961
## 711      0.0490529716   -0.4860759341      0.102194466
## 712     -0.0039447722    0.0502688777     -1.581521892
## 713      0.4117546237   -0.5669533264      0.102194466
## 714     -0.2831410650    1.0889048626     -0.005073062
## 715     -0.0034879220   -0.4733058196     -0.349534313
## 716      0.7727614084    2.3190925661     -1.540455640
## 717     -0.6509273198    0.5270198216     -0.924461850
## 718     -0.2492437143   -0.4051985419      1.498447056
## 719     -0.7339758289    0.7611385887     -0.005073062
## 720      0.2693857509   -0.5328996876      1.046718277
## 721      0.1456604210   -0.6478307187      0.430724487
## 722      0.2795549561   -0.5626966216      0.718188256
## 723      0.5490388939   -0.4562790002      0.553923245
## 724      0.1168476729   -0.4051985419     -1.376190629
## 725     -0.3695793092   -0.1795931845     -0.144203050
## 726      0.0948143950   -0.3243211496     -0.801263092
## 727      0.2998933665    1.3826174977     -0.005073062
## 728      0.2236243275   -0.5116161633      1.293115793
## 729     -0.2356847741   -0.1668230699      1.334182046
## 730     -0.5238122547    0.7526251790     -0.005073062
## 731      0.3541291276    1.8508550319     -1.910051914
## 732     -0.5373711950   -0.2051334136      1.210983288
## 733     -0.5882172210   -0.4860759341      0.389658235
## 734     -0.0085725246   -0.2945242156     -0.144203050
## 735     -0.2594129195   -0.4988460487     -0.349534313
## 736      0.0049864157   -0.4775625244      1.128850782
## 737      0.0795605872   -0.4477655904      0.020061961
## 738     -0.1560260000   -0.3668881982      0.800320761
## 739     -0.0039447722   -0.2051334136     -1.622588145
## 740     -0.1594157350   -0.0050682854     -0.349534313
## 741      0.5168364108   -0.6308038993      0.307525729
## 742     -0.1339927220   -0.4945893439      1.991242088
## 743     -0.6780452003   -0.1199993165      0.307525729
## 744      0.5964951849   -0.4818192293     -0.431666818
## 745     -0.0039447722    0.0928359263     -0.267401808
## 746     -0.0390801402   -0.4988460487     -0.062070544
## 747     -0.4136458651   -0.2391870525      0.512856993
## 748      0.0643067794   -0.4307387710      0.061128214
## 749      0.2812498237   -0.4988460487      1.375248298
## 750     -0.0039447722    0.5568167556     -1.458323134
## 751      0.1371860833   -0.5584399167     -0.513799324
## 752      0.5507337615    2.4255101875     -1.910051914
## 753      0.0287145612    2.5872649720     -1.170859366
## 754      0.0727811170   -0.5669533264      1.621645814
## 755     -0.0039447722    0.3014144642     -2.115383177
## 756     -0.0039447722   -0.0263518097     -2.402846945
## 757      0.2185397249   -0.6350606041      1.909109583
## 758      0.6185284628   -0.5243862779     -1.170859366
## 759     -0.4255099378   -0.3158077399      0.677122003
## 760     -0.6509273198   -0.2562138719     -0.308468060
## 761      0.2778600886   -0.4264820662      1.087784530
## 762     -0.1712798078    0.1694566137     -1.088726861
## 763     -0.3627998391    0.1566864991     -1.868985661
## 764     -0.6882144055    0.8505293907     -0.005073062
## 765     -0.4390688781   -0.3115510350     -0.103136797
## 766     -0.0492493454   -0.5839801458      0.553923245
## 767      0.2405730029   -0.5967502604     -1.006594355
## 768     -0.2306001715    0.0502688777     -1.910051914
## 769      0.4609057822    1.6720734279     -0.005073062
## 770     -0.2763615949    4.8475752507     -0.005073062
## 771     -0.3458511637   -0.2987809205      0.512856993
## 772     -0.6594016574    0.7824221130     -0.005073062
## 773     -0.2543283169   -0.1455395457     -0.801263092
## 774      0.1388809508   -0.5328996876      1.087784530
## 775     -0.2882256676   -0.4775625244      0.020061961
## 776     -0.0039447722    0.0715524020     -1.992184419
## 777      0.1931167119   -0.4009418370     -1.088726861
## 778     -0.5797428834   -0.1540529554      0.307525729
## 779     -0.3509357663   -0.1497962505      0.020061961
## 780     -0.6678759951   -0.2391870525     -0.678064334
## 781      0.5880208472    2.3190925661     -0.005073062
## 782      0.2168448574   -0.3881717225     -0.267401808
## 783     -1.3898895644    4.3750810116     -0.005073062
## 784      0.0575273092   -0.6180337847      0.389658235
## 785     -0.0039447722    0.3822918565     -1.663654398
## 786      0.1439655534    5.5414181422     -0.005073062
## 787      0.2405730029   -0.2860108059      1.334182046
## 788      2.6218618874    4.0856250814     -0.005073062
## 789     -0.0645031532    4.2346097514     -0.005073062
## 790     -0.0543339480   -0.4137119516     -0.719130587
## 791      0.1371860833   -0.5839801458     -1.006594355
## 792      0.3795521406    1.6976136571     -0.005073062
## 793      0.3371804523    1.9147056047     -0.267401808
## 794      0.1015938651   -0.4605357050      0.964585772
## 795      0.2998933665   -0.5116161633     -0.924461850
## 796      0.0710862495    0.2886443497     -0.595931829
## 797      0.2304037977   -0.5371563924      0.061128214
## 798     -1.3898895644    5.3413530140     -0.005073062
## 799      0.3931110809   -0.6691142430      0.882453266
## 800      0.0693913820   -0.6137770798     -0.103136797
## 801     -0.0356904051   -0.4562790002     -1.376190629
## 802      0.1507450236    1.6976136571     -0.005073062
## 803      0.2100653873   -0.3583747885      0.102194466
## 804     -0.1780592779    0.2035102526     -0.062070544
## 805     -0.2831410650   -0.0944590874     -0.513799324
## 806     -0.0390801402   -0.3966851322      2.155507098
## 807      0.1541347586   -0.4818192293     -0.103136797
## 808     -0.0306058025   -0.5669533264      1.210983288
## 809      0.1880321093   -0.5499265070      0.225393224
## 810     -0.6288940418    1.2932266957     -0.005073062
## 811      0.0439683690   -0.4903326390     -0.390600566
## 812      0.0812554547   -0.5797234410      0.718188256
## 813      0.2015910496   -0.4775625244      0.882453266
## 814      0.0151556209   -0.3754016079     -0.021004292
## 815     -0.0390801402   -0.5116161633     -1.252991871
## 816      0.5897157148    1.5826826260     -0.005073062
## 817     -0.1153491792   -0.5626966216      1.539513309
## 818     -0.3136486806   -0.2562138719      1.293115793
## 819     -0.4797456989   -0.2391870525     -0.924461850
## 820      0.2270140626   -0.3030376253      1.334182046
## 821     -0.1458567948   -0.3796583127     -0.472733071
## 822     -0.4204253352    1.0122841752     -0.005073062
## 823     -0.3051743429   -0.2987809205      0.553923245
## 824     -0.2560231845   -0.4349954759      0.800320761
## 825      0.1727783015   -0.5328996876     -0.678064334
## 826     -0.4238150703    0.2333071865     -1.581521892
## 827      0.1812526392    2.7745599857     -2.608178209
## 828      0.0388837664   -0.4945893439      1.046718277
## 829      0.2558268107   -0.5797234410      1.128850782
## 830      0.3659932003   -0.5882368507      0.061128214
## 831      0.4015854185   -0.4520222953     -0.308468060
## 832      7.8573076984    3.2342841102     -0.005073062
## 833     -0.2882256676    2.0083531116     -0.005073062
## 834     -0.6085556314    0.5908703945     -0.005073062
## 835     -0.1458567948   -0.4690491147      1.293115793
## 836      0.0371888988   -0.4264820662      0.389658235
## 837     -0.0039447722   -0.0476353340     -0.883395597
## 838     -0.4966943742   -0.2179035282      0.636055751
## 839      0.0354940313   -0.5456698021      1.539513309
## 840      0.2202345925   -0.5754667361     -0.103136797
## 841      0.1541347586   -0.5286429827      0.266459477
## 842      0.7710665408    2.8511806731     -2.484979451
## 843      0.2270140626   -0.5201295730      0.594989498
## 844     -0.0204365973   -0.5158728681     -0.021004292
## 845      0.2507422081   -0.4903326390      0.266459477
## 846      0.0439683690   -0.5073594584      0.964585772
## 847      0.0795605872   -0.3966851322     -0.719130587
## 848      0.0371888988   -0.5116161633      0.184326971
## 849     -0.3543255014   -0.3924284273      0.718188256
## 850     -0.6848246704   -0.2987809205     -0.390600566
## 851     -0.6255043068    0.6845179013     -0.005073062
## 852     -0.1339927220   -0.0646621534      0.677122003
## 853     -0.0039447722    0.2929010545     -1.335124376
## 854     -0.0039447722   -0.0348652194     -2.320714440
## 855     -0.1797541455    1.0463378141     -0.005073062
## 856      0.4575160471   -0.6265471944      0.020061961
## 857     -0.1882284831    0.1524297943      0.020061961
## 858      0.0456632365   -0.4860759341      1.210983288
## 859      0.3422650549   -0.4520222953     -0.431666818
## 860      0.4015854185   -0.7627617498      0.102194466
## 861     -0.5221173872   -0.3285778545      2.360838362
## 862      0.3320958497   -0.6903977672     -1.252991871
## 863     -0.3017846079   -0.3754016079      0.225393224
## 864      1.0032633929   -0.5073594584     -0.472733071
## 865      0.3185369094   -0.4435088856      0.102194466
## 866      1.1202092527   -0.4988460487      0.389658235
## 867      0.2320986652   -0.6989111770      0.677122003
## 868      0.4049751536   -0.5243862779     -1.129793113
## 869     -0.2289053039   -0.0689188582      0.594989498
## 870      0.2609114133   -0.5158728681     -0.390600566
## 871      0.4727698549   -0.5712100313      0.225393224
## 872     -0.0984005038   -0.3924284273      0.677122003
## 873      0.1337963482   -0.5414130973     -0.472733071
## 874     -0.5543198704   -0.3200644448     -1.376190629
## 875     -0.5458455327    1.0250542898      0.225393224
## 876      0.8981816058   -0.5584399167      1.498447056
## 877      0.0439683690   -0.4179686564      1.293115793
## 878      0.6320874031   -0.5243862779      0.102194466
## 879      0.4066700211    1.8806519659     -2.074316924
## 880      0.4236186965   -0.5797234410      0.718188256
## 881      1.0439402137    2.2637554030     -1.910051914
## 882     -0.0039447722    0.1992535477     -1.622588145
## 883      0.0422735014   -0.5031027536      0.759254509
## 884      0.4202289614   -0.5584399167     -0.801263092
## 885      0.0676965144   -0.3285778545      0.677122003
## 886     -0.3000897403   -0.5797234410      0.512856993
## 887      0.0066812832   -0.1923632991      0.677122003
## 888     -0.0051827895   -0.4009418370      1.703778319
## 889      0.7405589252    5.0008166255     -0.005073062
## 890     -0.6916041406    0.4929661828     -0.005073062
## 891     -0.0039447722    0.1396596797     -1.786853156
## 892     -0.5390660626   -0.1072292019      1.909109583
## 893     -0.3882228521   -0.2519571671     -0.103136797
## 894     -0.4492380833    0.6206673285     -0.267401808
## 895      0.4609057822    6.3374219503     -0.005073062
## 896      0.3524342601   -0.6180337847     -0.021004292
## 897     -0.2560231845   -0.1923632991     -0.719130587
## 898      0.1388809508   -0.5924935556      2.278705856
## 899     -0.0039447722    0.1566864991     -3.059906988
## 900     -0.3763587793    0.1907401380     -0.021004292
## 901     -1.0424417200    4.3835944213     -0.005073062
## 902      0.0710862495   -0.4945893439      0.677122003
## 903     -0.0594185506   -0.4477655904      0.759254509
## 904     -0.3339870910   -0.2732406913      0.882453266
## 905     -0.5780480158   -0.0348652194      0.143260719
## 906     -0.3221230183   -0.3328345593     -0.513799324
## 907      5.7692308971    2.8384105585     -0.005073062
## 908      0.3388753198   -0.4775625244     -0.185269302
## 909     -0.0102673921    0.9526903072     -0.005073062
## 910     -1.3898895644    3.4343492384     -0.005073062
## 911     -0.0729774908   -0.4562790002      1.169917035
## 912     -0.0441647428   -0.5754667361      0.923519519
## 913      0.3100625717   -0.5286429827      0.677122003
## 914      0.1490501560   -0.4179686564      1.416314551
## 915     -0.0187417298   -0.4051985419     -0.185269302
## 916      0.6100541252   -0.5243862779      1.252049540
## 917     -0.4746610963   -0.4562790002      0.594989498
## 918      1.1371579281   -0.2008767088     -0.267401808
## 919     -0.4865251690   -0.2477004622     -1.335124376
## 920      0.2914190289   -0.4562790002      1.087784530
## 921     -0.2560231845   -0.4009418370      0.266459477
## 922     -0.3899177196   -0.1370261359     -0.760196839
## 923     -0.3119538131    3.8089392657     -0.005073062
## 924      0.1185425404   -0.5499265070      0.266459477
## 925     -0.1204337818   -0.3243211496      1.005652024
## 926     -0.3475460313    0.0204719437     -1.704720650
## 927     -0.8644806290    2.7915868051     -0.005073062
## 928     -0.1645003376    0.5993838042     -1.868985661
## 929      0.4948031329   -0.6095203750      0.102194466
## 930     -0.0039447722   -0.1455395457     -2.731376966
## 931      0.9591968371   -0.5371563924      0.102194466
## 932     -0.5949966912    0.7143148353     -0.005073062
## 933     -0.1983976883    1.9061921950     -0.005073062
## 934      0.2659960159   -0.3285778545      0.841387014
## 935     -0.6441478496    1.0676213384     -0.005073062
## 936     -0.3933074547   -0.4179686564     -0.801263092
## 937      0.3795521406   -0.4903326390      1.334182046
## 938     -0.3000897403   -0.0433786291     -0.554865576
## 939      0.0270196936   -0.5712100313     -0.021004292
## 940     -0.4339842755   -0.2902675108      1.169917035
## 941     -0.7390604315    0.8335025713     -0.005073062
## 942      0.5354799537   -0.2477004622      1.539513309
## 943     -0.5187276521   -0.3456046739     -0.021004292
## 944     -0.8949882446    4.7794679730     -3.881232041
## 945      0.9608917046   -0.5371563924      0.061128214
## 946      0.5897157148   -0.4818192293      0.471790740
## 947      0.5320902186   -0.5754667361      0.759254509
## 948     -0.6678759951   -0.1753364796     -1.581521892
## 949      0.4642955173   -0.6180337847     -0.226335555
## 950      0.5388696887   -0.6563441284      0.143260719
## 951     -0.4899149041   -0.2604705768     -0.185269302
## 952     -0.0492493454   -0.3839150176      0.718188256
## 953      0.0676965144   -0.1753364796      1.334182046
## 954      0.3371804523   -0.6648575381      0.512856993
## 955      0.6998821044   -0.5712100313     -0.842329345
## 956     -0.4000869248    0.0247286486     -0.595931829
## 957     -0.6678759951    0.5610734605     -2.567111956
## 958     -0.3305973559   -0.4647924099      2.812567141
## 959      0.2066756522   -0.6861410624     -0.842329345
## 960     -0.2611077871   -0.3924284273     -0.883395597
## 961      0.0083761508   -0.5073594584     -0.185269302
## 962     -0.4153407326   -0.3498613787     -0.267401808
## 963     -0.0611134181    1.0548512238     -0.005073062
## 964      0.0998989976    1.4975485288     -0.005073062
## 965     -0.2272104364   -0.4775625244      0.430724487
## 966      0.2863344263   -0.6648575381      0.184326971
## 967     -0.2712769923    0.0162152389     -0.144203050
## 968     -0.9322753303    1.8763952610     -2.690310714
## 969     -0.1831438805   -0.2179035282      0.225393224
## 970      0.3304009821   -0.3583747885      0.102194466
## 971     -0.2746667273    0.9569470121     -0.005073062
## 972     -0.4119509975    1.0591079286     -0.005073062
## 973      1.0151274657   -0.6137770798      0.348591982
## 974      0.2304037977   -0.5754667361     -0.513799324
## 975     -0.5288968573   -0.0008115805      1.293115793
## 976     -0.2916154027   -0.1370261359     -0.021004292
## 977     -0.3153435481    1.3230236297     -0.005073062
## 978      0.1643039638   -0.3243211496      0.266459477
## 979      0.0032915482   -0.3456046739      0.841387014
## 980     -0.0492493454   -0.3796583127      1.128850782
## 981     -0.6034710288    0.9058665538     -0.005073062
## 982      0.5829362446   -0.6818843575     -0.021004292
## 983     -0.1322978545    0.7185715402     -0.005073062
## 984      0.4812441926   -0.4775625244      0.553923245
## 985      0.2592165457   -0.5456698021      0.102194466
## 986     -0.6475375847    0.9356634878     -0.005073062
## 987     -0.3882228521   -0.3966851322      0.266459477
## 988      0.0965092625   -0.4222253613     -0.185269302
## 989      0.2744703535   -0.6222904895      1.005652024
## 990      0.5676824368    1.6167362648     -0.005073062
## 991     -0.1000953714   -0.4009418370     -0.349534313
## 992     -0.3289024884   -0.4647924099      1.785910825
## 993      0.3558239951    1.6720734279     -0.005073062
## 994     -0.5424557976   -0.3158077399      1.087784530
## 995     -0.5238122547   -0.5371563924     -0.678064334
## 996      0.1676936989   -0.5031027536      0.718188256
## 997      0.5931054498   -0.4775625244     -0.472733071
## 998     -0.3356819585   -0.3541180836      1.169917035
## 999      0.0693913820   -0.4733058196     -0.390600566
## 1000    -0.0119622596   -0.5031027536      2.442970867
## 1001     0.0168504884   -0.5031027536     -0.760196839
## 1002    -0.1712798078   -0.5243862779      0.471790740
## 1003    -0.0407750077   -0.6393173090     -0.267401808
## 1004    -0.2543283169   -0.3200644448      1.785910825
## 1005     0.1897269769    1.8082879833     -0.005073062
## 1006    -0.4475432157    1.7061270668     -0.005073062
## 1007    -0.4966943742   -0.2647272816      0.266459477
## 1008     0.1863372418   -0.6435740138      1.005652024
## 1009    -0.6746554652   -0.1497962505      0.348591982
## 1010     0.1829475067   -0.4903326390      0.102194466
## 1011    -0.2034822909   -0.4690491147      0.512856993
## 1012     0.2541319431   -0.5967502604      0.061128214
## 1013     0.2609114133   -0.5712100313      0.553923245
## 1014     0.3761624055   -0.5839801458     -0.842329345
## 1015     0.3151471743   -0.4690491147      0.389658235
## 1016     0.1354912158   -0.5754667361      0.184326971
## 1017    -0.1272132519   -0.4775625244     -0.103136797
## 1018    -0.5390660626    0.9697171267     -0.005073062
## 1019     0.3626034653   -0.5116161633      0.184326971
## 1020    -0.4865251690   -0.4349954759      0.430724487
## 1021     0.1354912158   -0.4733058196      0.512856993
## 1022    -0.4594072885   -0.3881717225      0.266459477
## 1023    -0.4983892417    0.2843876448     -0.005073062
## 1024     0.2575216782   -0.4307387710     -0.431666818
## 1025    -0.0339955376   -0.3072943302     -0.062070544
## 1026     0.1456604210   -0.4818192293     -1.006594355
## 1027     0.2693857509   -0.4988460487      1.334182046
## 1028    -0.7238066237   -0.0774322680      0.964585772
## 1029    -0.6916041406   -0.1710797748      1.087784530
## 1030    -0.3577152365   -0.2987809205      0.348591982
## 1031     0.2185397249   -0.6010069653      0.594989498
## 1032     0.3524342601   -0.5541832118     -1.581521892
## 1033    -0.1017902389    1.0122841752     -0.005073062
## 1034    -0.3831382495    0.9314067830     -0.005073062
## 1035     0.1998961821   -0.4647924099      0.266459477
## 1036     0.0422735014    2.2935523369     -0.005073062
## 1037    -1.3898895644    3.2300274053     -0.005073062
## 1038    -0.2204309663   -0.4903326390      0.471790740
## 1039    -0.4949995067   -0.0944590874      0.718188256
## 1040     0.2846395587   -0.4222253613     -0.719130587
## 1041    -0.0831466960   -0.4094552467      0.348591982
## 1042     0.0931195274    0.0374987632     -1.211925619
## 1043     0.5507337615   -0.5286429827      0.143260719
## 1044    -0.5017789768    0.2162803671     -1.129793113
## 1045     0.3253163795   -0.4860759341     -0.390600566
## 1046    -0.5187276521   -0.0476353340      1.210983288
## 1047    -0.3746639118   -0.0561487437     -0.390600566
## 1048    -0.3848331170   -0.5839801458      0.430724487
## 1049    -0.0039447722    0.1651999089     -1.745786903
## 1050    -0.0068776570   -0.4520222953      0.594989498
## 1051    -0.5814377509    0.9910006510     -0.005073062
## 1052    -0.2187360987   -0.5073594584      2.114440846
## 1053    -0.5661839431    0.6419508527     -0.005073062
## 1054    -0.0390801402   -0.3796583127      0.184326971
## 1055    -0.0475544778   -0.5031027536      0.061128214
## 1056    -0.3390716936   -0.2987809205      0.553923245
## 1057     0.2134551223   -0.6095203750     -0.021004292
## 1058     0.1727783015   -0.2562138719     -0.390600566
## 1059     0.7236102499   -0.4860759341      0.882453266
## 1060    -0.2153463637   -0.4860759341      0.512856993
## 1061     0.2236243275   -0.5712100313      0.061128214
## 1062    -0.3526306339   -0.5243862779     -0.349534313
## 1063     0.1592193612   -0.4988460487     -0.883395597
## 1064    -0.3441562962   -0.0561487437     -0.144203050
## 1065     0.2490473405   -0.6052636701      0.553923245
## 1066    -0.6831298029   -0.1540529554     -0.678064334
## 1067     0.1693885664   -0.4094552467      1.293115793
## 1068    -0.1831438805   -0.1966200039      0.677122003
## 1069     0.3100625717   -0.5797234410     -1.211925619
## 1070     0.0270196936   -0.5499265070      0.061128214
## 1071     0.2914190289   -0.4477655904     -0.472733071
## 1072     0.2541319431   -0.3158077399      1.334182046
## 1073     0.0676965144   -0.4733058196     -1.047660608
## 1074    -0.4068663949   -0.2562138719      1.457380803
## 1075     0.2626062808   -0.5456698021      0.307525729
## 1076    -0.3255127533    0.0545255826     -1.704720650
## 1077     0.4880236627   -0.6818843575      1.785910825
## 1078    -0.3475460313   -0.2306736428      0.143260719
## 1079    -0.3543255014   -0.2008767088      0.923519519
## 1080     0.4558211796   -0.6010069653      0.389658235
## 1081    -0.0645031532   -0.5371563924     -0.308468060
## 1082    -0.2085668935    1.1953224840     -0.005073062
## 1083    -0.2628026546   -0.3243211496      1.416314551
## 1084    -0.2068720260   -0.0220951048     -1.745786903
## 1085    -0.2407693767   -0.4818192293      1.457380803
## 1086    -0.8051602653   -0.2008767088      0.020061961
## 1087    -0.8051602653    0.4887094779     -0.005073062
## 1088     0.3829418757   -0.3881717225     -0.719130587
## 1089    -0.6204197042   -0.0178384000      0.184326971
## 1090    -0.1729746753   -0.2391870525      0.800320761
## 1091     0.1914218444   -0.5754667361      1.046718277
## 1092    -0.2882256676   -0.1114859068     -0.842329345
## 1093    -1.3898895644    2.9788818188     -0.005073062
## 1094     0.2948087639   -0.5158728681     -0.842329345
## 1095     0.6253079330   -0.4988460487      0.759254509
## 1096     0.2100653873   -0.4094552467      0.923519519
## 1097    -0.0039447722    0.5099930022     -1.458323134
## 1098     0.3422650549   -0.6180337847      0.389658235
## 1099     0.8608945201   -0.5669533264     -0.554865576
## 1100     0.0880349248   -0.4349954759     -0.924461850
## 1101     0.0456632365    0.4333723148      0.184326971
## 1102    -0.4390688781    0.2673608254     -1.458323134
## 1103     0.3778572731   -0.5924935556      0.471790740
## 1104    -0.0039447722   -0.0093249903     -1.581521892
## 1105    -0.4899149041   -0.2689839865     -0.472733071
## 1106    -0.6322837769   -0.0391219242      0.759254509
## 1107     0.1761680366   -0.4520222953     -0.226335555
## 1108     0.2676908834   -0.7372215207      0.636055751
## 1109    -0.5594044730   -0.3541180836     -0.431666818
## 1110    -0.6271991743    0.9824872412     -0.005073062
## 1111     0.1931167119   -0.5669533264     -0.842329345
## 1112     0.0219350910    1.4677515948     -1.745786903
## 1113    -0.0933159012    2.2509852884     -2.813509472
## 1114    -0.2712769923   -0.2349303476      0.348591982
## 1115     0.3388753198   -0.4179686564      0.266459477
## 1116     0.1371860833   -0.4051985419     -1.335124376
## 1117     0.2710806185   -0.4562790002     -0.103136797
## 1118    -0.0000981869   -0.4860759341      0.102194466
## 1119     0.1829475067   -0.6350606041      0.389658235
## 1120    -0.0085725246   -0.4477655904      0.677122003
## 1121    -0.6271991743    0.9782305364     -0.005073062
## 1122     0.0202402235   -0.4775625244      0.061128214
## 1123    -0.3068692105   -0.4435088856      0.061128214
## 1124    -0.1628054701   -0.5456698021     -0.062070544
## 1125     0.1507450236   -0.5031027536      0.882453266
## 1126    -0.0119622596   -0.3881717225      0.677122003
## 1127     0.4609057822   -0.5797234410     -0.062070544
## 1128     0.1659988314   -0.3839150176      1.416314551
## 1129    -0.4763559638   -0.0135816951     -2.115383177
## 1130    -0.0153519947   -0.3072943302      0.143260719
## 1131    -0.1746695429   -0.5371563924      0.512856993
## 1132    -0.3034794754   -0.6180337847     -0.062070544
## 1133     0.1541347586   -0.3754016079      0.430724487
## 1134     0.3287061146   -0.5669533264     -0.431666818
## 1135    -0.3933074547    0.0332420583     -1.581521892
## 1136    -0.5746582808   -0.2689839865      0.348591982
## 1137    -0.2322950390   -0.4520222953      0.923519519
## 1138    -0.2475488468    0.2205370720     -2.115383177
## 1139     0.1507450236   -0.6818843575     -0.021004292
## 1140     0.4388725043   -0.5243862779     -0.144203050
## 1141     0.3049779691   -0.4733058196      1.621645814
## 1142     0.3320958497   -0.5541832118      0.553923245
## 1143     0.1236271430   -0.3456046739     -0.842329345
## 1144     0.0575273092   -0.5371563924      0.430724487
## 1145    -0.0039447722    0.3865485614     -2.649244461
## 1146    -0.0039447722    0.2886443497     -2.074316924
## 1147     0.3880264783   -0.5456698021      0.512856993
## 1148    -0.3000897403   -0.3243211496      1.210983288
## 1149     0.4981928679   -0.6350606041      1.991242088
## 1150     0.3710778029   -0.6010069653      1.868043330
## 1151     0.2981984990   -0.6818843575     -0.021004292
## 1152     0.0778657196   -0.5414130973     -0.636998081
## 1153     0.4524314445   -0.5754667361     -1.047660608
## 1154     0.3981956835   -0.6478307187      0.225393224
## 1155    -0.0509442129    0.4972228876     -0.636998081
## 1156    -0.3119538131   -0.0731755631     -1.910051914
## 1157    -0.5678788106   -0.1199993165      0.020061961
## 1158    -0.5594044730   -0.0987157922      0.471790740
## 1159    -0.0526390804   -0.3583747885      0.759254509
## 1160    -0.6305889094   -0.1838498894      0.964585772
## 1161     0.1541347586   -0.6648575381      0.307525729
## 1162    -0.5882172210   -0.3158077399     -0.062070544
## 1163     0.0354940313   -0.4435088856      1.334182046
## 1164    -0.8644806290    0.6674910819     -0.005073062
## 1165    -0.6594016574   -0.2647272816      0.307525729
## 1166     0.0897297924   -0.5797234410      0.759254509
## 1167     0.0897297924   -0.4222253613      0.512856993
## 1168    -0.3916125871   -0.3754016079     -0.760196839
## 1169     0.2863344263   -0.5243862779     -0.103136797
## 1170    -0.5916069561   -0.3115510350      0.636055751
## 1171    -0.3170384157   -0.4775625244     -0.636998081
## 1172     0.0304094287   -0.2817541010     -0.226335555
## 1173    -1.0373571174    3.4386059433     -0.005073062
## 1174    -0.0085725246   -0.5286429827     -0.226335555
## 1175    -0.0017930544   -0.6946544721      0.800320761
## 1176     0.2914190289   -0.6989111770      0.225393224
## 1177     0.4354827692   -0.6180337847      0.718188256
## 1178     0.4422622393   -0.6435740138     -0.144203050
## 1179    -0.3017846079   -0.0348652194      0.882453266
## 1180     0.2575216782   -0.4690491147      1.909109583
## 1181     0.3880264783   -0.6222904895     -0.760196839
## 1182     0.2609114133   -0.5243862779      0.020061961
## 1183    -0.2543283169   -0.0391219242     -1.540455640
## 1184    -0.3695793092   -0.2179035282      0.759254509
## 1185    -0.7780423848   -0.2306736428     -0.554865576
## 1186     0.8964867383   -0.5797234410     -1.047660608
## 1187     0.1134579378   -0.5882368507      1.416314551
## 1188     0.3371804523   -0.5584399167     -0.636998081
## 1189     0.1643039638   -0.4903326390     -0.965528103
## 1190     0.2185397249   -0.6350606041      0.348591982
## 1191    -0.4407637456    0.7143148353     -0.005073062
## 1192    -0.0039447722    0.4801960682     -1.992184419
## 1193     0.4371776367   -0.5116161633      0.348591982
## 1194    -0.4492380833   -0.1795931845     -1.129793113
## 1195     0.4964980004   -0.6180337847     -0.719130587
## 1196     0.5710721719    1.4847784143     -0.005073062
## 1197    -0.5763531483    0.9058665538     -0.005073062
## 1198     0.5100569407   -0.5499265070     -0.595931829
## 1199    -0.4712713612   -0.4392521807     -0.226335555
## 1200     0.1693885664   -0.4818192293      0.882453266
## 1201     0.0439683690   -0.3626314933     -0.636998081
## 1202     0.0829503222   -0.5499265070     -0.431666818
## 1203    -0.2034822909   -0.4988460487      1.909109583
## 1204    -0.0729774908    2.0807170941     -0.005073062
## 1205     0.0151556209   -0.3711449030     -0.513799324
## 1206     0.6490360784   -0.5031027536     -0.185269302
## 1207     0.8219125668   -0.6095203750     -0.185269302
## 1208    -0.0170468622   -0.4690491147      0.389658235
## 1209    -0.3051743429   -0.3839150176      1.128850782
## 1210    -0.4204253352   -0.3711449030      1.580579561
## 1211     0.4083648887    1.5613991017     -0.005073062
## 1212    -0.0424698752   -0.5456698021      0.307525729
## 1213     0.3371804523   -0.4520222953     -0.636998081
## 1214     0.4320930341   -0.6180337847     -0.021004292
## 1215    -0.5949966912   -0.0306085145     -0.103136797
## 1216    -0.0729774908    1.3485638589     -0.005073062
## 1217    -0.4492380833   -0.4775625244      1.498447056
## 1218     0.4642955173   -0.6691142430      0.512856993
## 1219     0.3558239951   -0.6308038993      0.471790740
## 1220    -0.4339842755    0.0119585340     -1.827919408
## 1221    -0.3712741767    1.5699125114     -0.005073062
## 1222    -0.6949938756    0.6589776722     -0.005073062
## 1223    -0.4695764937    0.0034451243     -2.033250671
## 1224    -0.6577067899   -0.4520222953      0.594989498
## 1225    -0.3729690443   -0.3711449030      1.703778319
## 1226    -0.1339927220    0.8377592761     -0.005073062
## 1227     0.6405617408   -0.5328996876     -0.062070544
## 1228     0.5303953511   -0.6180337847      0.636055751
## 1229     0.1931167119   -0.5499265070     -0.595931829
## 1230    -0.4865251690    1.8210580979     -0.005073062
## 1231     0.1744731690   -0.5328996876      0.718188256
## 1232     0.3185369094   -0.4222253613      1.744844572
## 1233     0.2575216782   -0.5116161633      0.759254509
## 1234    -0.2678872572   -0.1327694311      0.594989498
## 1235    -0.4746610963   -0.2434437573      0.430724487
## 1236     1.2557986554    3.2513109296     -2.484979451
## 1237    -0.3475460313   -0.1157426117      1.416314551
## 1238     0.2931138964   -0.6818843575      1.087784530
## 1239    -0.4661867586   -0.0093249903     -1.458323134
## 1240     0.3880264783   -0.4520222953      0.882453266
## 1241     0.2626062808    1.8082879833     -0.005073062
## 1242     0.1015938651   -0.4435088856     -0.390600566
## 1243     0.3863316107   -0.5073594584      0.184326971
## 1244     1.1083451800   -0.4349954759      0.184326971
## 1245    -0.1170440467   -0.3285778545     -0.390600566
## 1246     0.3405701873    1.9998397019     -1.910051914
## 1247     0.8575047850   -0.4690491147      0.225393224
## 1248    -0.0187417298   -0.5414130973      0.471790740
## 1249    -0.1797541455   -0.3370912642      1.457380803
## 1250    -0.4238150703   -0.3541180836      0.389658235
## 1251    -0.3966971897   -0.4179686564     -0.267401808
## 1252    -0.1729746753    1.6209929697     -0.005073062
## 1253    -0.2136514961    0.1141194506     -1.088726861
## 1254     0.9320789565   -0.7201947012      0.102194466
## 1255    -0.3611049715   -0.0306085145     -1.622588145
## 1256    -0.5305917249   -0.3370912642      1.293115793
## 1257    -0.5746582808    1.7359240008     -0.005073062
## 1258     0.1405758184   -0.4051985419      0.389658235
## 1259     0.2270140626   -0.6222904895      0.389658235
## 1260    -0.2509385819   -0.3115510350      1.293115793
## 1261     0.0337991638   -0.5286429827      0.553923245
## 1262     0.0321042962   -0.4647924099     -0.431666818
## 1263    -0.0458596103   -0.5797234410      0.061128214
## 1264     0.1744731690   -0.4094552467     -0.103136797
## 1265    -0.1339927220   -0.5626966216      0.882453266
## 1266    -0.0039447722    0.3056711691     -1.704720650
## 1267     0.4270084315   -0.6265471944      0.348591982
## 1268     0.1965064470   -0.4562790002      0.184326971
## 1269    -0.4356791430   -0.2562138719      0.882453266
## 1270     0.1931167119   -0.4562790002     -1.499389387
## 1271     0.5287004835   -0.5371563924     -0.636998081
## 1272    -0.5797428834   -0.0816889728     -0.267401808
## 1273     0.2015910496   -0.6052636701      1.128850782
## 1274     0.2388781353   -0.4307387710      0.512856993
## 1275    -0.1407721922    1.7401807056     -0.005073062
## 1276    -0.0865364311    0.1439163846     -1.294058124
## 1277    -0.1577208675   -0.4477655904      1.293115793
## 1278    -0.6102504990    0.8249891616     -0.005073062
## 1279     0.3965008159   -0.5499265070     -0.678064334
## 1280     0.3456547899   -0.4988460487      1.539513309
## 1281    -0.0289109350   -0.5073594584     -0.636998081
## 1282    -0.6068607639    0.5993838042     -1.170859366
## 1283     0.3778572731   -0.4137119516     -0.103136797
## 1284     0.4846339277   -0.5754667361      0.389658235
## 1285     0.0253248261   -0.4647924099      3.223229667
## 1286     0.0236299586   -0.6691142430      0.348591982
## 1287    -0.4204253352    0.2077669574     -0.595931829
## 1288    -0.1661952052   -0.3711449030      1.293115793
## 1289     0.2439627379   -0.3924284273     -0.719130587
## 1290     0.5880208472   -0.3754016079     -0.431666818
## 1291    -0.4797456989   -0.2306736428      0.923519519
## 1292    -0.7119425510    0.5993838042     -0.924461850
## 1293    -0.2814461975   -0.1497962505     -0.226335555
## 1294     0.3015882341   -0.5669533264      0.102194466
## 1295     0.4575160471   -0.5669533264      0.964585772
## 1296    -0.3509357663   -0.4775625244      1.457380803
## 1297     0.0880349248   -0.6393173090     -0.103136797
## 1298    -0.2950051377   -0.2349303476     -0.431666818
## 1299     0.0727811170   -0.5541832118      0.143260719
## 1300    -0.1204337818   -0.4903326390     -0.021004292
## 1301    -1.3898895644    2.5361845137     -0.005073062
## 1302     0.5914105823   -0.5201295730      0.184326971
## 1303    -0.0039447722    0.0587822874     -2.115383177
## 1304     0.3998905510   -0.7883019789      1.128850782
## 1305     0.5693773044   -0.4562790002      0.102194466
## 1306     0.1032887326    1.6380197891     -1.910051914
## 1307     4.4574034262    1.1399853209     -0.005073062
## 1308     0.0998989976   -0.4051985419     -0.144203050
## 1309     0.2880292938   -0.5328996876      0.102194466
## 1310    -0.3289024884    1.5528856920     -0.005073062
## 1311    -0.2153463637   -0.2051334136     -0.431666818
## 1312    -0.5577096054    1.6167362648     -0.005073062
## 1313     0.2304037977   -0.5584399167     -0.267401808
## 1314    -0.1797541455   -0.5371563924      1.580579561
## 1315    -0.0695877558   -0.4179686564     -0.267401808
## 1316    -0.0238263324   -0.6393173090     -0.062070544
## 1317    -0.6000812938    0.7611385887     -0.005073062
## 1318    -0.2543283169    0.3439815128     -1.376190629
## 1319    -0.2814461975   -0.0944590874     -0.883395597
## 1320    -0.4543226859   -0.2519571671      0.594989498
## 1321    -0.4543226859    1.4975485288     -0.005073062
## 1322     0.0473581040   -0.6435740138      0.143260719
## 1323     0.7676768058    1.9317324242     -0.005073062
## 1324    -0.5526250028   -0.3456046739      1.498447056
## 1325     0.2795549561   -0.4903326390     -0.185269302
## 1326     0.1015938651   -0.4349954759      1.785910825
## 1327     0.4083648887   -0.6010069653     -0.513799324
## 1328     0.4897185303   -0.6180337847     -0.513799324
## 1329    -0.0039447722    0.4163454954     -2.074316924
## 1330    -0.2983948728    0.0630389923     -0.513799324
## 1331    -0.7271963588    1.1570121403     -0.005073062
## 1332     0.3795521406   -0.4477655904      1.005652024
## 1333     0.0337991638   -0.4988460487      0.512856993
## 1334     0.1541347586   -0.4945893439     -1.047660608
## 1335     0.4659903848   -0.5882368507      1.375248298
## 1336    -0.6543170548    0.9867439461     -0.005073062
## 1337    -0.2255155689    2.1871347155     -0.005073062
## 1338     0.5253107485   -0.4903326390      0.430724487
## 1339    -0.4204253352   -0.0604054485     -2.156449429
## 1340     0.1829475067   -0.5286429827     -0.636998081
## 1341    -0.3102589455    0.3567516274     -1.170859366
## 1342     0.0354940313    1.1187017966     -0.005073062
## 1343    -0.0039447722   -0.0135816951     -0.842329345
## 1344     0.1507450236    1.5784259211     -0.005073062
## 1345     0.1490501560    1.3528205637     -3.100973240
## 1346     0.1236271430    1.4847784143     -0.472733071
## 1347     0.3066728367   -0.5328996876     -0.349534313
## 1348    -0.2848359325    0.0885792214     -1.499389387
## 1349     0.4287032991   -0.6478307187      1.293115793
## 1350     0.5490388939    2.7362496420     -0.005073062
## 1351    -0.2983948728   -0.5712100313      1.785910825
## 1352    -0.1899233507    0.0417554680     -0.842329345
## 1353    -0.5594044730    1.3868742026     -0.005073062
## 1354     0.4337879017   -0.6137770798     -0.390600566
## 1355    -0.6729605977   -0.3328345593      1.087784530
## 1356     0.3965008159   -0.5031027536      0.594989498
## 1357    -0.6288940418   -0.4647924099      0.512856993
## 1358    -0.0780620934    0.1651999089     -2.443913198
## 1359    -0.7102476834   -0.2689839865      0.759254509
## 1360     0.0422735014    3.9068434774     -1.417256882
## 1361     0.3015882341   -0.3626314933     -0.595931829
## 1362     0.7269999850   -0.5626966216      0.594989498
## 1363     0.0473581040   -0.5967502604     -0.513799324
## 1364     0.3812470081   -0.5499265070     -0.267401808
## 1365     0.1422706859   -0.5712100313      0.061128214
## 1366    -0.1594157350   -0.4562790002      0.882453266
## 1367     0.4456519744   -0.6095203750     -1.047660608
## 1368    -0.0611134181   -0.3966851322      0.348591982
## 1369     0.0710862495   -0.4775625244      0.759254509
## 1370     0.4727698549   -0.6180337847      0.266459477
## 1371     0.1134579378   -0.6222904895      0.636055751
## 1372    -0.2916154027   -0.4137119516      1.662712067
## 1373     0.4490417095   -0.6563441284      0.307525729
## 1374    -0.0039447722    0.2035102526     -2.156449429
## 1375    -0.3577152365   -0.0646621534     -2.115383177
## 1376    -0.4322894079    1.3400504492     -0.005073062
## 1377    -0.0039447722   -0.0604054485     -1.622588145
## 1378     0.0863400573   -0.5499265070      0.348591982
## 1379     0.2337935327   -0.6691142430     -0.185269302
## 1380     0.2100653873   -0.6265471944     -0.267401808
## 1381    -0.7356706964    0.4674259536     -1.006594355
## 1382     0.0880349248   -0.5797234410     -0.349534313
## 1383    -0.6271991743    0.4759393634     -0.005073062
## 1384    31.2837667462    2.9831385236     -0.005073062
## 1385     0.4117546237   -0.6137770798      0.389658235
## 1386     0.2151499899   -0.5797234410      0.636055751
## 1387    -0.0136571272   -0.4307387710     -0.308468060
## 1388     0.2219294600   -0.4647924099      1.334182046
## 1389    -0.1509413974    1.9998397019     -0.005073062
## 1390    -0.1017902389   -0.0944590874     -0.842329345
## 1391    -0.0039447722    0.3269546934     -0.719130587
## 1392    -0.4102561300    0.1481730894     -1.088726861
## 1393    -0.0039447722    0.1524297943     -2.402846945
## 1394     0.4897185303   -0.5541832118     -0.390600566
## 1395    -0.5305917249   -0.1668230699     -1.376190629
## 1396    -0.0039447722    0.1566864991     -2.443913198
## 1397    -0.3865279845   -0.3456046739     -0.636998081
## 1398    -0.4272048053    0.0630389923     -2.279648187
## 1399    -0.2000925559    1.3953876123     -0.005073062
## 1400     0.5507337615   -0.5839801458     -0.678064334
## 1401    -0.4627970235    5.3668932431     -0.005073062
## 1402    -0.0526390804    2.4425370069     -2.608178209
## 1403    -0.2695821247   -0.3541180836      0.512856993
## 1404    -0.1390773246   -0.4264820662      2.566169625
## 1405     0.6490360784   -0.6265471944      0.266459477
## 1406    -0.1322978545   -0.2647272816     -0.021004292
## 1407    -0.0039447722    0.2545907108     -2.936708230
## 1408    -0.2339899065   -0.3754016079     -0.062070544
## 1409     0.0778657196   -0.6265471944      0.389658235
## 1410     0.1880321093   -0.4690491147     -0.760196839
## 1411    -0.0039447722    0.0800658117     -1.129793113
## 1412     0.0151556209   -0.5414130973     -0.636998081
## 1413    -0.3695793092    0.2162803671     -1.622588145
## 1414    -0.2763615949   -0.3200644448      0.061128214
## 1415     0.0304094287   -0.4605357050     -0.965528103
## 1416    -0.2153463637    0.9143799635     -0.005073062
## 1417    -0.7543142393   -0.3328345593      2.484037120
## 1418    -0.1017902389   -0.5414130973      0.923519519
## 1419    -0.9288855953    4.2601499805     -2.402846945
## 1420     0.2507422081   -0.3881717225     -0.924461850
## 1421     0.3642983328   -0.6222904895      0.471790740
## 1422     0.1185425404    1.2080925986     -0.005073062
## 1423     0.0998989976   -0.5626966216      1.087784530
## 1424    -0.4068663949   -0.3924284273      1.580579561
## 1425     0.8015741564   -0.5201295730      1.005652024
## 1426     0.3931110809   -0.7116812915      0.061128214
## 1427     0.0676965144   -0.6137770798      0.389658235
## 1428     0.4693801199   -0.6776276527      0.184326971
## 1429     0.3354855847   -0.5712100313      2.237639604
## 1430    -0.2780564624    0.0332420583     -0.595931829
## 1431     0.1541347586   -0.5371563924     -0.226335555
## 1432     0.0304094287   -0.4605357050      0.882453266
## 1433    -0.8712600991    0.2673608254     -0.005073062
## 1434    -0.1712798078   -0.4733058196      0.348591982
## 1435     0.3388753198   -0.4647924099     -0.185269302
## 1436    -0.0039447722   -0.1114859068     -1.211925619
## 1437     0.0812554547   -0.5669533264     -0.431666818
## 1438     0.4405673718   -0.7031678818     -0.842329345
## 1439     0.3710778029   -0.4988460487     -0.349534313
## 1440     0.3880264783   -0.4094552467      1.046718277
## 1441    -1.3898895644    2.8937477217     -0.005073062
## 1442     0.1998961821   -0.4988460487     -0.144203050
## 1443     0.1490501560   -0.5882368507     -0.924461850
## 1444    -0.3475460313   -0.2008767088     -1.006594355
## 1445     0.0151556209   -0.5073594584      0.553923245
## 1446     0.0168504884   -0.4903326390      0.307525729
## 1447    -0.2797513299   -0.5456698021      0.636055751
## 1448    -0.0407750077   -0.3966851322      0.102194466
## 1449    -0.4594072885   -0.3924284273      0.061128214
## 1450    -0.8797344368    0.7526251790     -0.005073062
## 1451    -0.7492296367    0.4589125439     -0.005073062
## 1452     0.1083733352   -0.3583747885     -0.513799324
## 1453    -0.6119453665    0.3652650371     -0.005073062
## 1454     0.7100513096   -0.6435740138     -0.883395597
## 1455     0.2676908834   -0.5967502604     -0.678064334
## 1456     0.0032915482   -0.5201295730     -0.472733071
## 1457     0.2676908834   -0.3796583127     -0.062070544
## 1458     0.1609142288   -0.5712100313      0.143260719
## 1459     0.5134466757   -0.5754667361      1.293115793
## 1460     0.0473581040   -0.6989111770     -0.308468060
## 1461     0.0371888988   -0.4222253613      0.061128214
## 1462     0.5981900524    2.0636902747     -2.484979451
## 1463     0.7608973356   -0.5839801458     -0.103136797
## 1464     0.3405701873   -0.6350606041      0.348591982
## 1465    -0.6780452003   -0.2391870525     -0.678064334
## 1466    -0.6577067899   -0.0561487437     -0.924461850
## 1467    -0.1763644104   -0.2604705768      0.923519519
## 1468    -1.3898895644    6.9759276787     -0.005073062
## 1469     0.1778629041   -0.3839150176     -0.349534313
## 1470     0.4914133978   -0.4520222953     -0.185269302
## 1471     1.2219013047   -0.5754667361      0.471790740
## 1472    -1.3898895644    3.7493453978     -0.005073062
## 1473    -0.1441619272   -0.3966851322      0.143260719
## 1474    -0.0039447722    0.4461424294     -2.649244461
## 1475     0.5388696887   -0.4307387710      1.046718277
## 1476     0.0388837664   -0.5967502604      0.225393224
## 1477    -0.0039447722    0.3695217419     -1.211925619
## 1478    -0.1322978545    0.1779700234     -1.499389387
## 1479    -0.2170412312    0.0077018292     -1.294058124
## 1480     0.4405673718   -0.6010069653     -0.636998081
## 1481     0.1795577716   -0.5712100313      0.636055751
## 1482     0.1609142288   -0.6095203750     -0.472733071
## 1483     0.0778657196   -0.6052636701      1.293115793
## 1484    -0.3119538131    1.4294412511     -0.005073062
## 1485     0.5727670394   -0.6180337847      0.430724487
## 1486    -0.7000784782   -0.0604054485      1.416314551
## 1487    -0.5153379171   -0.2136468234     -0.390600566
## 1488    -0.3068692105   -0.3796583127     -0.226335555
## 1489    -0.2526334494   -0.4094552467     -0.842329345
## 1490    -0.1085697090   -0.4605357050      0.430724487
## 1491    -0.6255043068    0.6249240333     -0.005073062
## 1492     0.0965092625   -0.5201295730     -0.760196839
## 1493     0.4812441926   -0.6563441284      0.636055751
## 1494    -0.1136543116    1.1782956646     -0.005073062
## 1495     0.4846339277   -0.5031027536      0.882453266
## 1496     0.2659960159   -0.4690491147      0.225393224
## 1497    -0.3034794754   -0.1668230699      1.375248298
## 1498    -0.0492493454   -0.4264820662      0.718188256
## 1499    -0.3289024884   -0.1795931845      0.143260719
## 1500    -0.6085556314    0.8164757518     -0.005073062
## 1501    -0.0780620934    0.2588474157     -0.390600566
## 1502    -0.2644975221   -0.2945242156      1.334182046
## 1503    -0.0000981869   -0.5754667361      0.759254509
## 1504    -0.0323006700   -0.4435088856      0.143260719
## 1505     0.2253191951   -0.4775625244      0.636055751
## 1506     1.3218984892    2.4084833681     -0.005073062
## 1507     0.5185312783    2.7830733954     -0.801263092
## 1508    -0.5238122547   -0.1966200039      0.882453266
## 1509    -0.3238178858   -0.3754016079     -0.144203050
## 1510     0.5083620731   -0.7159379964      0.102194466
## 1511    -0.2475488468   -0.6052636701      1.662712067
## 1512    -1.3898895644    2.5617247429     -0.005073062
## 1513     0.2337935327   -0.4222253613      0.636055751
## 1514    -0.1289081194   -0.3839150176      1.539513309
## 1515     0.1473552885   -0.6691142430      1.210983288
## 1516    -0.4797456989   -0.2860108059     -0.390600566
## 1517     0.4863287952   -0.5499265070     -0.185269302
## 1518    -0.3373768261   -0.3796583127      1.416314551
## 1519     0.7473383954   -0.4051985419     -0.185269302
## 1520     0.4032802861   -0.6308038993     -0.267401808
## 1521     0.3066728367   -0.3583747885     -0.267401808
## 1522     0.4981928679    2.3105791564     -0.005073062
## 1523    -0.4000869248   -0.3711449030      0.471790740
## 1524     0.1066784677   -0.4222253613      1.252049540
## 1525     0.4100597562   -0.4903326390      1.621645814
## 1526     0.4185340939   -0.5967502604      1.128850782
## 1527     0.5151415433   -0.5286429827     -0.062070544
## 1528     0.1558296262   -0.5031027536     -0.883395597
## 1529    -0.0221314648   -0.5328996876      1.457380803
## 1530    -0.4543226859   -0.2349303476      0.184326971
## 1531     0.9083508110   -0.5797234410      1.169917035
## 1532     0.1676936989   -0.5456698021      0.266459477
## 1533     0.4642955173   -0.4562790002      0.020061961
## 1534     0.0185453560   -0.5414130973     -0.185269302
## 1535    -0.1187389142   -0.5541832118      0.923519519
## 1536     0.2727754860   -0.6137770798      0.143260719
## 1537     0.3236215120    1.6124795600     -0.005073062
## 1538    -0.0039447722    0.1311462700     -2.156449429
## 1539    -0.2560231845   -0.0220951048     -0.842329345
## 1540     0.1066784677   -0.5499265070      0.553923245
## 1541     0.0015966806   -0.4349954759      0.225393224
## 1542    -0.2322950390    0.0970926312     -1.088726861
## 1543    -0.0153519947   -0.4605357050      0.020061961
## 1544    -0.1695849402   -0.4605357050      1.210983288
## 1545    -0.3763587793    1.5826826260     -0.005073062
## 1546    -0.2763615949   -0.4520222953      1.950175835
## 1547    -0.0984005038   -0.4392521807      1.909109583
## 1548    -0.1746695429    0.0758091069     -0.472733071
## 1549     0.4253135640   -0.6095203750     -0.308468060
## 1550    -0.5102533145   -0.3158077399     -1.129793113
## 1551    -0.4085612625   -0.3413479690     -0.226335555
## 1552    -0.7255014912    0.5185064119     -0.005073062
## 1553    -0.1187389142    1.1272152063     -0.005073062
## 1554     0.8727585928   -0.5882368507     -0.965528103
## 1555     0.3744675380   -0.6989111770      0.143260719
## 1556     0.1795577716   -0.5158728681      0.102194466
## 1557     0.2371832678   -0.5031027536      1.785910825
## 1558     0.3778572731   -0.5286429827     -1.294058124
## 1559     0.0914246599   -0.6393173090      0.266459477
## 1560    -0.3560203689   -0.3668881982      0.594989498
## 1561     0.1473552885   -0.5626966216      0.348591982
## 1562    -0.6441478496   -0.2732406913      1.210983288
## 1563     0.1371860833   -0.6861410624      1.087784530
## 1564     0.0185453560   -0.5371563924      0.471790740
## 1565    -0.4916097716   -0.0263518097     -0.144203050
## 1566     0.1388809508   -0.6137770798      0.307525729
## 1567     0.3710778029   -0.6308038993     -0.554865576
## 1568    -0.1356875896   -0.4945893439      0.389658235
## 1569     0.9812301150   -0.6308038993      0.389658235
## 1570    -0.6102504990   -0.4094552467     -0.185269302
## 1571     0.5388696887   -0.6180337847      0.882453266
## 1572     0.1388809508   -0.6350606041      0.430724487
## 1573     0.5168364108   -0.4605357050      0.061128214
## 1574     0.2083705197    3.4130657141     -0.005073062
## 1575    -0.0039447722    0.2801309400     -1.992184419
## 1576     0.3117574393   -0.3881717225      1.046718277
## 1577    -0.3644947066   -0.4264820662      2.196573351
## 1578    -0.3322922235    1.2932266957     -0.005073062
## 1579     0.0948143950   -0.4690491147      0.307525729
## 1580    -0.6034710288   -0.4009418370     -0.801263092
## 1581    -0.0390801402    1.5018052337     -0.005073062
## 1582     0.2202345925   -0.5116161633      0.677122003
## 1583    -0.0492493454   -0.5116161633      0.430724487
## 1584     0.2422678704   -0.2945242156      0.759254509
## 1585    -0.6949938756    0.5142497071     -0.005073062
## 1586     0.4642955173   -0.5201295730      1.498447056
## 1587    -0.3882228521   -0.6095203750      2.278705856
## 1588     0.3134523068   -0.3456046739      0.266459477
## 1589    -0.4526278183    0.7781654081     -0.005073062
## 1590     0.0744759846   -0.5754667361     -0.719130587
## 1591    -0.3966971897   -0.1625663651      0.964585772
## 1592    -0.2780564624    1.6593033134     -0.005073062
## 1593    -0.1051799740   -0.5158728681      0.882453266
## 1594     0.6253079330   -0.5669533264     -0.719130587
## 1595     0.2609114133    2.0168665213     -1.745786903
## 1596    -0.3950023222   -0.0476353340     -0.472733071
## 1597     0.2575216782   -0.4349954759     -0.062070544
## 1598     0.5066672056   -0.6010069653     -0.349534313
## 1599    -0.7119425510   -0.1583096602     -0.636998081
## 1600    -0.2492437143   -0.3966851322      0.512856993
## 1601    -0.2356847741   -0.0902023825     -1.663654398
## 1602    -0.0039447722    0.3269546934     -2.649244461
## 1603    -0.6288940418   -0.3498613787     -0.513799324
## 1604    -0.2899205351   -0.3413479690     -0.267401808
## 1605    -0.0238263324   -0.4818192293      0.471790740
## 1606    -0.7339758289    5.3796633577     -0.005073062
## 1607     0.1321014807   -0.6520874235      0.020061961
## 1608     0.3507393925   -0.6606008333      0.841387014
## 1609     0.3507393925   -0.6989111770     -1.335124376
## 1610    -0.7017733458   -0.1668230699      0.184326971
## 1611    -0.3051743429   -0.3966851322      0.841387014
## 1612     0.0812554547   -0.5754667361      0.512856993
## 1613     0.0337991638   -0.6350606041      1.580579561
## 1614    -0.0255211999   -0.4307387710     -0.103136797
## 1615     0.0863400573   -0.5328996876     -0.144203050
## 1616    -1.3898895644    5.2008817537     -0.005073062
## 1617    -0.4136458651   -0.5414130973     -0.062070544
## 1618     0.0049864157   -0.6052636701     -0.678064334
## 1619    -0.4746610963   -0.2264169379      1.293115793
## 1620     0.2829446912   -0.5712100313     -0.185269302
## 1621     0.2456576055   -0.6265471944      1.046718277
## 1622    -0.3255127533   -0.5626966216      1.826977077
## 1623     0.0609170443   -0.4520222953      0.225393224
## 1624     1.6286695128   -0.5754667361     -0.801263092
## 1625     0.0965092625   -0.3626314933     -0.678064334
## 1626    -0.4068663949   -0.3498613787      0.225393224
## 1627    -0.3950023222   -0.1029724971     -0.924461850
## 1628     0.4490417095   -0.5116161633      0.923519519
## 1629     0.6524258135    2.0849737990     -0.005073062
## 1630     0.1066784677    2.2509852884     -2.033250671
## 1631    -0.5678788106   -0.3754016079      0.471790740
## 1632    -0.1017902389   -0.6180337847      1.005652024
## 1633    -0.1492465298    3.0384756868     -0.005073062
## 1634     0.3507393925   -0.3839150176     -0.719130587
## 1635     0.5236158809   -0.5499265070      0.636055751
## 1636    -0.3085640780   -0.4179686564     -0.595931829
## 1637    -0.0153519947   -0.4520222953      0.389658235
## 1638    -0.0984005038    0.1609432040     -1.868985661
## 1639    -0.5339814599    0.3865485614     -1.335124376
## 1640     0.1761680366   -0.5499265070     -0.103136797
## 1641    -0.4424586131   -0.2902675108     -0.144203050
## 1642    -0.0039447722    0.0970926312     -1.704720650
## 1643    -0.0255211999   -0.5414130973      0.923519519
## 1644     0.3846367432   -0.5626966216      0.512856993
## 1645    -0.5017789768    0.8590428004     -0.005073062
## 1646     0.2066756522    2.4893607603     -0.005073062
## 1647     0.4880236627   -0.4349954759      0.841387014
## 1648     0.5236158809   -0.5286429827      0.923519519
## 1649    -0.5746582808   -0.2434437573     -0.308468060
## 1650    -0.5187276521   -0.3456046739      0.389658235
## 1651     0.5354799537    2.5191576943     -0.390600566
## 1652    -0.1695849402    0.4631692488     -0.842329345
## 1653    -0.0039447722    0.2460773011     -2.731376966
## 1654    -0.0407750077    1.7870044591     -0.005073062
## 1655    -0.1102645766   -0.5116161633      0.512856993
## 1656    -0.3983920573   -0.1242560214     -1.252991871
## 1657    -0.2967000053   -0.4477655904      0.841387014
## 1658    -0.4305945404   -0.1625663651      0.389658235
## 1659    -0.0153519947    1.0591079286     -0.005073062
## 1660     0.1693885664   -0.4733058196      0.553923245
## 1661    -0.5000841093   -0.4945893439      0.759254509
## 1662     0.1134579378   -0.4988460487     -0.595931829
## 1663     0.0151556209   -0.5584399167     -0.021004292
## 1664    -0.1661952052    0.1694566137     -1.992184419
## 1665     0.7676768058   -0.4520222953     -0.801263092
## 1666    -0.1848387481   -0.5286429827      0.512856993
## 1667     0.4371776367   -0.1838498894      0.184326971
## 1668    -0.6661811276   -0.3030376253      0.143260719
## 1669     0.4100597562   -0.5414130973     -0.431666818
## 1670     0.4405673718   -0.6222904895      1.210983288
## 1671     0.0032915482    1.9530159484     -1.745786903
## 1672    -0.0306058025   -0.5669533264      0.964585772
## 1673     0.3609085977   -0.5924935556     -0.431666818
## 1674     0.1659988314   -0.6308038993      1.252049540
## 1675    -0.1102645766   -0.5286429827      0.636055751
## 1676    -0.2594129195   -0.0178384000     -1.129793113
## 1677    -0.6187248366   -0.2774973962      0.102194466
## 1678     0.0270196936    1.7061270668     -2.608178209
## 1679    -0.5492352678   -0.2051334136      0.677122003
## 1680     0.3659932003   -0.4179686564      0.266459477
## 1681     0.4456519744   -0.4945893439      0.184326971
## 1682    -0.2729718598   -0.5712100313      0.348591982
## 1683    -0.0289109350   -0.4137119516      1.498447056
## 1684    -0.5170327846    0.7398550644     -0.005073062
## 1685    -0.5695736782   -0.2179035282      0.594989498
## 1686     0.2151499899   -0.6435740138      2.032308341
## 1687     0.0117658858   -0.5116161633      1.169917035
## 1688    -0.4170356001    1.4592381851     -0.005073062
## 1689    -0.3000897403   -0.4094552467      1.416314551
## 1690     0.0778657196   -0.4137119516      1.087784530
## 1691     1.2405448476    2.9363147702     -0.005073062
## 1692    -0.0407750077   -0.4179686564      0.020061961
## 1693     0.1592193612   -0.5371563924      0.266459477
## 1694     0.1626090963   -0.6350606041      1.087784530
## 1695    -0.2255155689   -0.4860759341     -0.062070544
## 1696    -0.4983892417   -0.3541180836      1.293115793
## 1697    -0.6797400678    0.8675562101     -0.005073062
## 1698     0.2676908834   -0.6350606041      1.005652024
## 1699    -0.0289109350   -0.4733058196      0.102194466
## 1700    -0.6848246704   -0.1625663651     -0.349534313
## 1701     0.4270084315    2.2297017641     -0.005073062
## 1702     0.3388753198   -0.4945893439      0.225393224
## 1703     0.0032915482   -0.4392521807      0.882453266
## 1704     0.1524398911   -0.6393173090      0.800320761
## 1705     0.4422622393   -0.5712100313      0.594989498
## 1706    -0.4933046391   -0.0135816951      0.636055751
## 1707    -0.2492437143    0.4674259536     -2.074316924
## 1708     0.3287061146   -0.5371563924     -0.062070544
## 1709    -0.0695877558    1.8168013931     -0.005073062
## 1710     0.0931195274    1.5741692162     -0.005073062
## 1711     0.4575160471   -0.6776276527      0.389658235
## 1712    -0.1814490130   -0.4903326390      0.348591982
## 1713    -0.6966887432    0.9228933733     -0.005073062
## 1714    -0.7153322860    0.3993186759     -0.005073062
## 1715    -0.2695821247   -0.2945242156      0.718188256
## 1716     0.3626034653   -0.5626966216      1.046718277
## 1717     0.9575019695   -0.5882368507     -0.103136797
## 1718    -0.3305973559   -0.3285778545      2.442970867
## 1719     0.4795493251   -0.7542483401     -0.883395597
## 1720    -0.5356763275   -0.2477004622      0.184326971
## 1721    -0.1373824571    1.0207975849     -0.005073062
## 1722    -0.4339842755   -0.5414130973      0.841387014
## 1723    -0.1865336156    0.1013493360     -1.417256882
## 1724     0.0524427066   -0.4988460487     -0.431666818
## 1725    -0.1492465298    1.2464029423     -0.005073062
## 1726    -0.2661923897   -0.3966851322      1.662712067
## 1727     0.2439627379   -0.6393173090     -0.554865576
## 1728    -0.5288968573    1.0931615675     -0.005073062
## 1729    -0.5305917249   -0.0816889728     -0.349534313
## 1730     0.1965064470   -0.4775625244      0.266459477
## 1731     0.2253191951   -0.5328996876     -0.267401808
## 1732    -0.5916069561   -0.0816889728      2.073374593
## 1733     0.0337991638   -0.4264820662      0.225393224
## 1734    -0.0039447722    0.1396596797     -2.156449429
## 1735    -0.4119509975    1.3826174977     -0.005073062
## 1736    -0.0848415636    3.7067783492     -0.005073062
## 1737     0.2863344263   -0.4903326390     -0.390600566
## 1738    -0.7492296367    1.0080274704     -0.005073062
## 1739     0.0337991638   -0.4818192293     -0.924461850
## 1740    -0.4543226859    0.0460121729     -1.581521892
## 1741    -0.5000841093    3.0895561451     -2.033250671
## 1742     0.3592137302   -0.6733709478      1.087784530
## 1743    -0.1848387481   -0.4435088856      1.909109583
## 1744    -0.2272104364   -0.4179686564     -0.267401808
## 1745    -0.0170468622   -0.5797234410      0.061128214
## 1746    -0.3627998391    0.3056711691     -0.062070544
## 1747     0.0541375742   -0.3711449030     -0.390600566
## 1748    -0.1628054701   -0.3796583127      1.334182046
## 1749    -0.0039447722    0.3056711691     -2.443913198
## 1750     0.1693885664   -0.6393173090     -0.431666818
## 1751    -0.6390632470   -0.2349303476      0.102194466
## 1752     0.0388837664   -0.4690491147     -0.678064334
## 1753     0.1185425404    3.6854948249     -2.156449429
## 1754    -0.0950107688    0.7866788179     -0.005073062
## 1755    -0.1373824571    0.0374987632     -2.772443219
## 1756    -0.6102504990    5.6010120102     -0.005073062
## 1757     0.1676936989   -0.4860759341      0.964585772
## 1758     0.0083761508   -0.5243862779     -0.144203050
## 1759    -0.4966943742   -0.3158077399      0.061128214
## 1760    -0.1034851064   -0.4860759341     -0.103136797
## 1761    -0.1085697090   -0.4605357050      0.307525729
## 1762     0.2676908834   -0.4988460487      0.102194466
## 1763    -0.1865336156   -0.3626314933      1.703778319
## 1764    -0.0848415636   -0.5243862779      1.128850782
## 1765    -0.1170440467    0.4248589051     -1.868985661
## 1766    -0.4966943742    1.4039010220     -0.005073062
## 1767     0.0083761508   -0.4605357050     -0.308468060
## 1768    -0.1289081194   -0.5243862779      0.307525729
## 1769     0.2168448574   -0.3413479690      0.800320761
## 1770    -0.4017817923    1.6720734279     -0.005073062
## 1771    -0.1187389142   -0.5924935556      0.020061961
## 1772    -0.0645031532   -0.4094552467      1.498447056
## 1773    -0.3594101040   -0.4222253613      0.184326971
## 1774    -0.2356847741    0.2460773011     -0.513799324
## 1775    -0.7390604315   -0.3456046739      0.389658235
## 1776     0.5761567745   -0.5882368507      0.512856993
## 1777     0.4642955173   -0.4222253613      0.348591982
## 1778    -0.3102589455    3.6003607278     -0.005073062
## 1779     0.2575216782   -0.6222904895      0.594989498
## 1780     0.1321014807   -0.6137770798     -0.062070544
## 1781     0.2727754860   -0.4009418370      0.020061961
## 1782    -0.5441506652   -0.0731755631     -1.129793113
## 1783    -0.3221230183   -0.2391870525     -0.636998081
## 1784     0.0863400573   -0.5754667361      0.102194466
## 1785    -0.8119397354    0.4035753808     -0.005073062
## 1786     0.1609142288   -0.6563441284      1.087784530
## 1787    -0.2102617611   -0.3583747885      1.868043330
## 1788    -0.1916182182    0.3354681031     -0.554865576
## 1789    -0.2356847741   -0.5073594584      0.184326971
## 1790    -0.5322865924   -0.2987809205     -0.719130587
## 1791    -0.4729662287   -0.3498613787      1.087784530
## 1792    -0.0255211999   -0.6989111770      0.184326971
## 1793    -0.7458399016   -0.0263518097     -0.842329345
## 1794     0.1287117456   -0.5754667361      0.184326971
## 1795    -0.3153435481   -0.0859456777     -1.294058124
## 1796    -0.4594072885   -0.2477004622      1.580579561
## 1797    -0.4000869248   -0.3626314933      1.950175835
## 1798    -0.0407750077   -0.3754016079      1.580579561
## 1799     0.1473552885   -0.6308038993      1.128850782
## 1800     0.3270112471   -0.4222253613      0.020061961
## 1801     0.0829503222   -0.4860759341      1.621645814
## 1802    -0.2136514961    0.3354681031     -1.129793113
## 1803     0.1609142288   -0.3328345593     -0.883395597
## 1804     0.3541291276   -0.5712100313      0.759254509
## 1805     0.0863400573   -0.4477655904      0.512856993
## 1806     0.1744731690   -0.4009418370      1.293115793
## 1807     0.5015826030   -0.5499265070      0.348591982
## 1808     0.3693829354   -0.6010069653      1.005652024
## 1809     0.1473552885   -0.5328996876      0.225393224
## 1810    -0.5610993405   -0.1710797748      0.923519519
## 1811     0.0727811170   -0.2562138719      1.087784530
## 1812     0.1744731690   -0.5797234410      0.636055751
## 1813    -0.2306001715    0.0970926312     -1.827919408
## 1814    -0.3661895741   -0.2902675108     -0.103136797
## 1815     0.1829475067   -0.5243862779      0.964585772
## 1816     0.2473524730   -0.5031027536     -1.088726861
## 1817    -0.7780423848    0.8462726858     -0.005073062
## 1818    -0.5882172210   -0.3966851322      0.348591982
## 1819     0.0337991638   -0.4137119516     -0.595931829
## 1820    -0.1475516623   -0.5754667361     -0.678064334

# Write a function that checks or use the package olsrr
# m3$model
backwards_elim <- function(df){
  variable_eliminated <- c()
  adj_rsquared <- c()
  # define predictors 
  predictor_vars <- colnames(df)
  
  for(i in 2:length(predictor_vars)){
    # Define model string 
    formula_string <- paste(predictor_vars[1], "~", paste(predictor_vars[-c(i,1)], collapse = " + "))
    
    # Define formula string
    model_formula <- as.formula(formula_string)
    ## model_formula <- reformulate(termlabels = predictor_vars[-c(i,1)], response = predictor_vars[1])
    # fit model
    new_m <- lm(model_formula, df)
    new_m_summary <- summary(new_m)
    
    # Get R_squared
    model_adj_rsquared <- new_m_summary$adj.r.squared
    
    adj_rsquared <- append(adj_rsquared, model_adj_rsquared)
    variable_eliminated <- append(variable_eliminated, predictor_vars[i])
  }
  
  elimination_df <- data.frame(Elimination_var = variable_eliminated, Adj_rsquared = adj_rsquared)
  elimination_df
}

backwards_elim(m3$model)

##     Elimination_var Adj_rsquared
## 1    TEAM_BATTING_H    0.2631467
## 2   TEAM_BATTING_2B    0.3178726
## 3   TEAM_BATTING_3B    0.3166780
## 4   TEAM_BATTING_HR    0.3019350
## 5   TEAM_BATTING_SO    0.3157702
## 6   TEAM_BASERUN_SB    0.3056639
## 7   TEAM_PITCHING_H    0.3164379
## 8  TEAM_PITCHING_BB    0.3165997
## 9  TEAM_PITCHING_SO    0.3179234
## 10  TEAM_FIELDING_E    0.2918193
## 11 TEAM_FIELDING_DP    0.2948257

No improvemnts are shown to be made by the elimination of one of the other variables

Model diagnostics

Check for assumptions

plot(m3)

ggplot(m3, aes(x = m3$residuals)) + geom_histogram()

## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

library(olsrr)

## 
## Attaching package: 'olsrr'

## The following object is masked from 'package:MASS':
## 
##     cement

## The following object is masked from 'package:datasets':
## 
##     rivers

# Plot the cooks distance 
ols_plot_cooksd_chart(m3)

# Get order of outliers
m3_outliers <- ols_plot_cooksd_chart(m3, print_plot = FALSE)$outliers
arrange(m3_outliers, desc(cooks_distance))

##      observation cooks_distance
## 1384        1384    1.072524486
## 649          649    0.414239001
## 1468        1468    0.094002044
## 889          889    0.081695974
## 923          923    0.047224494
## 1522        1522    0.035749366
## 1401        1401    0.032455465
## 1301        1301    0.028872695
## 1093        1093    0.028751906
## 1307        1307    0.028572730
## 434          434    0.021016883
## 927          927    0.019863407
## 789          789    0.017990559
## 574          574    0.017908988
## 645          645    0.017553741
## 1419        1419    0.013954586
## 1691        1691    0.012387782
## 1360        1360    0.012212711
## 462          462    0.011643367
## 563          563    0.011040498
## 802          802    0.010364206
## 561          561    0.010193633
## 832          832    0.010093627
## 107          107    0.009067607
## 1633        1633    0.008997829
## 1164        1164    0.008732702
## 375          375    0.007947172
## 895          895    0.007743492
## 181          181    0.007628624
## 810          810    0.007620204
## 663          663    0.007603519
## 1553        1553    0.007390371
## 1037        1037    0.007353008
## 1323        1323    0.007306524
## 1736        1736    0.006774307
## 1512        1512    0.006766180
## 975          975    0.006520538
## 833          833    0.006492268
## 977          977    0.006275107
## 990          990    0.005789306
## 355          355    0.005778116
## 1753        1753    0.005632787
## 910          910    0.005590366
## 1310        1310    0.005494592
## 1595        1595    0.005490307
## 786          786    0.005265008
## 229          229    0.005189658
## 792          792    0.005112770
## 1616        1616    0.005083790
## 1236        1236    0.004914722
## 358          358    0.004901394
## 1507        1507    0.004888670
## 1472        1472    0.004846791
## 968          968    0.004831666
## 798          798    0.004758877
## 277          277    0.004553973
## 1321        1321    0.004335125
## 739          739    0.004140064
## 1197        1197    0.004079163
## 940          940    0.004076352
## 1710        1710    0.004076194
## 548          548    0.003990324
## 191          191    0.003924441
## 647          647    0.003903479
## 562          562    0.003561991
## 957          957    0.003537188
## 1436        1436    0.003514215
## 300          300    0.003317637
## 1204        1204    0.003290128
## 638          638    0.003098335
## 247          247    0.003059215
## 1630        1630    0.002955875
## 113          113    0.002923371
## 907          907    0.002851366
## 1592        1592    0.002841930
## 668          668    0.002834721
## 1678        1678    0.002817694
## 1506        1506    0.002770579
## 31            31    0.002755069
## 1770        1770    0.002743187
## 1568        1568    0.002660992
## 1377        1377    0.002656162
## 1082        1082    0.002642408
## 1696        1696    0.002639321
## 446          446    0.002629391
## 1545        1545    0.002617771
## 449          449    0.002578630
## 1005        1005    0.002576604
## 578          578    0.002561808
## 173          173    0.002552074
## 727          727    0.002550473
## 249          249    0.002534865
## 428          428    0.002484507
## 133          133    0.002408422
## 95            95    0.002298696
## 1317        1317    0.002260482
## 1337        1337    0.002254628
## 1734        1734    0.002242739
## 131          131    0.002232952
## 874          874    0.002201440

Evaluate on the test set

library(caret)

## Loading required package: lattice

## 
## Attaching package: 'caret'

## The following objects are masked from 'package:yardstick':
## 
##     precision, recall, sensitivity, specificity

## The following object is masked from 'package:rsample':
## 
##     calibration

## The following object is masked from 'package:purrr':
## 
##     lift

y_pred <- predict(m3, data.frame(x_test_scaled))
# predict(lm_invoices, data.frame(Invoices = 130), interval = "prediction")
resid <- y_pred - y_test

plot(y_pred, resid)

hist(resid, main = "Distribution of Resiuals (m3)")

# Calculate error metrics
## ROOT MEAN SQUARE 

m3_rmse <- RMSE(y_pred, y_test)
m3_rmse

## [1] 12.7397

## MEAN ABSOLUTE ERROR
m3_mae <- MAE(y_pred, y_test)
m3_mae

## [1] 9.882248

The next steps are to attempt to make some improvements over the model by adding in transformations on the variables that were shown to have a large amount of skewness. The final m3 model contains the following predictors

m3_predictors <- colnames(m3[["model"]])[2:12]
m3_predictors

##  [1] "TEAM_BATTING_H"   "TEAM_BATTING_2B"  "TEAM_BATTING_3B"  "TEAM_BATTING_HR" 
##  [5] "TEAM_BATTING_SO"  "TEAM_BASERUN_SB"  "TEAM_PITCHING_H"  "TEAM_PITCHING_BB"
##  [9] "TEAM_PITCHING_SO" "TEAM_FIELDING_E"  "TEAM_FIELDING_DP"

Model Improvements

1. Transformations

TEAM_BATTING_SO and TEAM_PITCHING_SO both contain values that are 0 so a log transformation may not work. In these cases a square root transformation may be appropriate.

# Transform data to address skewness

x_train2 <- x_train %>% 
  mutate(TEAM_FIELDING_E_log = log(TEAM_FIELDING_E),
         TEAM_PITCHING_BB_sqrt = sqrt(TEAM_PITCHING_BB),
         TEAM_PITCHING_H_log = log(TEAM_PITCHING_H),
         TEAM_PITCHING_SO_sqrt = sqrt(TEAM_PITCHING_SO))

x_test2 <- x_test %>% 
  mutate(TEAM_FIELDING_E_log = log(TEAM_FIELDING_E),
         TEAM_PITCHING_BB_sqrt = sqrt(TEAM_PITCHING_BB),
         TEAM_PITCHING_H_log = log(TEAM_PITCHING_H),
         TEAM_PITCHING_SO_sqrt = sqrt(TEAM_PITCHING_SO))

x_train2 %>% dplyr::select(TEAM_FIELDING_E_log, TEAM_PITCHING_BB_sqrt,
                                            TEAM_PITCHING_H_log, TEAM_PITCHING_SO_sqrt) %>% 
  pivot_longer(cols = c(TEAM_FIELDING_E_log, TEAM_PITCHING_BB_sqrt,
                                            TEAM_PITCHING_H_log, TEAM_PITCHING_SO_sqrt),
               names_to = "Feature", 
               values_to = "Value") %>% 
  ggplot(aes(x = Value)) + geom_histogram() + 
  facet_wrap(~ Feature, nrow = 2, ncol = 3, scales = "free") + labs(title = "Log Transformed Pitching and Fielding Features")

## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

2. Inspect outliers/influential points 1384 1522 1164 889 649

moneyBall_training[c(1384,1522,1164,889, 1211, 649),]

## # A tibble: 6 × 16
##   TARGET_WINS TEAM_BATTING_H TEAM_BATTING_2B TEAM_BATTING_3B TEAM_BATTING_HR
##         <dbl>          <dbl>           <dbl>           <dbl>           <dbl>
## 1          88           1448             274              28             153
## 2          63           1598             264              48             122
## 3          98           1484             223              28             191
## 4          94           1624             242             101              32
## 5           0            891             135               0               0
## 6          69           1712             279              83              76
## # ℹ 11 more variables: TEAM_BATTING_BB <dbl>, TEAM_BATTING_SO <dbl>,
## #   TEAM_BASERUN_SB <dbl>, TEAM_BASERUN_CS <dbl>, TEAM_BATTING_HBP <dbl>,
## #   TEAM_PITCHING_H <dbl>, TEAM_PITCHING_HR <dbl>, TEAM_PITCHING_BB <dbl>,
## #   TEAM_PITCHING_SO <dbl>, TEAM_FIELDING_E <dbl>, TEAM_FIELDING_DP <dbl>

3. Prepare data

X_train2_scaled <- x_train2 %>% scale()

training_data2 <- data.frame(TARGET_WINS = y_train, X_train2_scaled)

X_test2_scaled <- x_test2 %>% scale()

training_data2 <- training_data2[-c(1384, 649, 1211), ]

The top two most influential points were dropped and so was the only observation with 0 TARGET WINS

# Drop original non transformed predictors
m4 <- lm(TARGET_WINS ~. - TEAM_FIELDING_E - TEAM_PITCHING_BB - TEAM_PITCHING_H - TEAM_PITCHING_SO, data = training_data2)

summary(m4)

## 
## Call:
## lm(formula = TARGET_WINS ~ . - TEAM_FIELDING_E - TEAM_PITCHING_BB - 
##     TEAM_PITCHING_H - TEAM_PITCHING_SO, data = training_data2)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -51.740  -8.439   0.149   7.941  62.229 
## 
## Coefficients:
##                       Estimate Std. Error t value Pr(>|t|)    
## (Intercept)           80.68967    0.30536 264.248  < 2e-16 ***
## TEAM_BATTING_H         7.11854    0.61917  11.497  < 2e-16 ***
## TEAM_BATTING_2B       -1.44864    0.48070  -3.014  0.00262 ** 
## TEAM_BATTING_3B        2.50591    0.54761   4.576 5.06e-06 ***
## TEAM_BATTING_HR       -0.06347    2.09453  -0.030  0.97583    
## TEAM_BATTING_BB        4.36005    1.04883   4.157 3.37e-05 ***
## TEAM_BATTING_SO       -3.36564    1.06281  -3.167  0.00157 ** 
## TEAM_BASERUN_SB        3.06492    0.42381   7.232 7.01e-13 ***
## TEAM_PITCHING_HR       3.16063    1.91407   1.651  0.09886 .  
## TEAM_FIELDING_DP      -3.14289    0.35834  -8.771  < 2e-16 ***
## TEAM_FIELDING_E_log   -6.36233    0.76851  -8.279 2.39e-16 ***
## TEAM_PITCHING_BB_sqrt -2.82255    0.97118  -2.906  0.00370 ** 
## TEAM_PITCHING_H_log   -0.07491    0.81846  -0.092  0.92708    
## TEAM_PITCHING_SO_sqrt  2.00105    0.93951   2.130  0.03332 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 13 on 1803 degrees of freedom
## Multiple R-squared:  0.3318, Adjusted R-squared:  0.327 
## F-statistic: 68.86 on 13 and 1803 DF,  p-value: < 2.2e-16

plot_vif(m4, "m4")

m5 <- update(m4, .~. - TEAM_BATTING_HR)
summary(m5)

## 
## Call:
## lm(formula = TARGET_WINS ~ TEAM_BATTING_H + TEAM_BATTING_2B + 
##     TEAM_BATTING_3B + TEAM_BATTING_BB + TEAM_BATTING_SO + TEAM_BASERUN_SB + 
##     TEAM_PITCHING_HR + TEAM_FIELDING_DP + TEAM_FIELDING_E_log + 
##     TEAM_PITCHING_BB_sqrt + TEAM_PITCHING_H_log + TEAM_PITCHING_SO_sqrt, 
##     data = training_data2)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -51.764  -8.439   0.146   7.939  62.243 
## 
## Coefficients:
##                       Estimate Std. Error t value Pr(>|t|)    
## (Intercept)           80.68988    0.30519 264.394  < 2e-16 ***
## TEAM_BATTING_H         7.11701    0.61695  11.536  < 2e-16 ***
## TEAM_BATTING_2B       -1.44875    0.48055  -3.015  0.00261 ** 
## TEAM_BATTING_3B        2.50918    0.53670   4.675 3.15e-06 ***
## TEAM_BATTING_BB        4.34784    0.96798   4.492 7.52e-06 ***
## TEAM_BATTING_SO       -3.37088    1.04837  -3.215  0.00133 ** 
## TEAM_BASERUN_SB        3.06550    0.42327   7.242 6.50e-13 ***
## TEAM_PITCHING_HR       3.10568    0.61243   5.071 4.36e-07 ***
## TEAM_FIELDING_DP      -3.14354    0.35760  -8.791  < 2e-16 ***
## TEAM_FIELDING_E_log   -6.36329    0.76765  -8.289  < 2e-16 ***
## TEAM_PITCHING_BB_sqrt -2.81040    0.88418  -3.179  0.00151 ** 
## TEAM_PITCHING_H_log   -0.07292    0.81558  -0.089  0.92877    
## TEAM_PITCHING_SO_sqrt  2.00354    0.93566   2.141  0.03238 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 13 on 1804 degrees of freedom
## Multiple R-squared:  0.3318, Adjusted R-squared:  0.3273 
## F-statistic: 74.64 on 12 and 1804 DF,  p-value: < 2.2e-16

backwards_elim(m5$model)

##          Elimination_var Adj_rsquared
## 1         TEAM_BATTING_H    0.2781081
## 2        TEAM_BATTING_2B    0.3243138
## 3        TEAM_BATTING_3B    0.3195551
## 4        TEAM_BATTING_BB    0.3201823
## 5        TEAM_BATTING_SO    0.3238481
## 6        TEAM_BASERUN_SB    0.3081537
## 7       TEAM_PITCHING_HR    0.3181175
## 8       TEAM_FIELDING_DP    0.2989018
## 9    TEAM_FIELDING_E_log    0.3020933
## 10 TEAM_PITCHING_BB_sqrt    0.3239357
## 11   TEAM_PITCHING_H_log    0.3276979
## 12 TEAM_PITCHING_SO_sqrt    0.3259921

m6 <- update(m5, .~. - TEAM_PITCHING_H_log)
summary(m6)

## 
## Call:
## lm(formula = TARGET_WINS ~ TEAM_BATTING_H + TEAM_BATTING_2B + 
##     TEAM_BATTING_3B + TEAM_BATTING_BB + TEAM_BATTING_SO + TEAM_BASERUN_SB + 
##     TEAM_PITCHING_HR + TEAM_FIELDING_DP + TEAM_FIELDING_E_log + 
##     TEAM_PITCHING_BB_sqrt + TEAM_PITCHING_SO_sqrt, data = training_data2)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -51.780  -8.425   0.121   7.941  62.291 
## 
## Coefficients:
##                       Estimate Std. Error t value Pr(>|t|)    
## (Intercept)            80.6899     0.3051 264.467  < 2e-16 ***
## TEAM_BATTING_H          7.0984     0.5804  12.230  < 2e-16 ***
## TEAM_BATTING_2B        -1.4515     0.4794  -3.028 0.002499 ** 
## TEAM_BATTING_3B         2.5220     0.5172   4.876 1.17e-06 ***
## TEAM_BATTING_BB         4.4018     0.7568   5.816 7.11e-09 ***
## TEAM_BATTING_SO        -3.3638     1.0451  -3.219 0.001311 ** 
## TEAM_BASERUN_SB         3.0713     0.4182   7.344 3.13e-13 ***
## TEAM_PITCHING_HR        3.0916     0.5918   5.224 1.95e-07 ***
## TEAM_FIELDING_DP       -3.1433     0.3575  -8.793  < 2e-16 ***
## TEAM_FIELDING_E_log    -6.3959     0.6754  -9.470  < 2e-16 ***
## TEAM_PITCHING_BB_sqrt  -2.8539     0.7380  -3.867 0.000114 ***
## TEAM_PITCHING_SO_sqrt   2.0110     0.9317   2.158 0.031029 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 13 on 1805 degrees of freedom
## Multiple R-squared:  0.3318, Adjusted R-squared:  0.3277 
## F-statistic: 81.47 on 11 and 1805 DF,  p-value: < 2.2e-16

plot(m6)

# Plot the cooks distance 
ols_plot_cooksd_chart(m6)

# Get order of outliers
m6_outliers <- ols_plot_cooksd_chart(m6, print_plot = FALSE)$outliers
arrange(m6_outliers, desc(cooks_distance))

##      observation cooks_distance
## 889          888    0.107695839
## 923          922    0.060816430
## 1401        1398    0.052906065
## 789          788    0.050120032
## 1093        1092    0.047661756
## 1522        1519    0.043894864
## 1468        1465    0.035123333
## 95            95    0.029207616
## 783          782    0.028161056
## 832          831    0.027219081
## 770          769    0.026068128
## 434          434    0.023694870
## 181          181    0.023293853
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hist(m6$residuals)

y_pred2 <- predict(m6, data.frame(X_test2_scaled))
# predict(lm_invoices, data.frame(Invoices = 130), interval = "prediction")
resid <- y_pred2 - y_test

# Calculate error metrics
## ROOT MEAN SQUARE 
m6_rmse <- RMSE(y_pred2, y_test)

## MEAN ABSOLUTE ERROR
m6_mae <- MAE(y_pred2, y_test)

adj_r_sq_df <- data.frame(Model_name= c("m1","m2", "m3", "m4", "m5", "m6"), 
                          Adj_R2 = c(summary(m1)$adj.r.squared, summary(m2)$adj.r.squared, summary(m3)$adj.r.squared,summary(m4)$adj.r.squared, summary(m5)$adj.r.squared, summary(m6)$adj.r.squared))

adj_r_sq_df %>% ggplot(aes(x = Model_name, y = Adj_R2)) + geom_col() + 
  geom_text(aes(label = round(Adj_R2, 4)),size = 5, vjust = 5, color = "white") + 
  ggtitle("Adjusted R_squared of Fitted Models") + 
  xlab("Model name") + 
  ylab("Adjusted R^2")

data.frame(Model_name = c("m3", "m6"), RMSE = c(m3_rmse, m6_rmse), MAE = c(m3_mae, m6_mae))

##   Model_name     RMSE      MAE
## 1         m3 12.73970 9.882248
## 2         m6 12.51461 9.550140

# Pre-process
eval_data <- moneyBall_evaluation %>% dplyr::select(TEAM_BATTING_H, TEAM_BATTING_2B, TEAM_BATTING_3B, TEAM_BATTING_BB, TEAM_BATTING_SO, TEAM_BASERUN_SB, TEAM_PITCHING_HR,
TEAM_FIELDING_DP, TEAM_FIELDING_E, TEAM_PITCHING_BB, TEAM_PITCHING_SO)

for(i in 1:ncol(eval_data)){
  eval_data[[i]][is.na(eval_data[,i])] <-mean(eval_data[[i]], na.rm = TRUE)
}


eval_data <- eval_data %>% mutate(TEAM_FIELDING_E_log = log(TEAM_FIELDING_E),
                                  TEAM_PITCHING_BB_sqrt = sqrt(TEAM_PITCHING_BB),
                                  TEAM_PITCHING_SO_sqrt = sqrt(TEAM_PITCHING_SO))

eval_data <- eval_data %>% dplyr::select(TEAM_BATTING_H, TEAM_BATTING_2B, TEAM_BATTING_3B, TEAM_BATTING_BB, TEAM_BATTING_SO, TEAM_BASERUN_SB, TEAM_PITCHING_HR, TEAM_FIELDING_DP, TEAM_FIELDING_E_log, TEAM_PITCHING_BB_sqrt, TEAM_PITCHING_SO_sqrt)

eval_data_scaled <- eval_data %>% scale()

eval_pred <- predict(m6, data.frame(eval_data_scaled))

write.csv(cbind(TARGET_WINS_predictions = eval_pred, eval_data), "eval_predictions.csv", row.names = FALSE)