Bank Costumer Segmentation
Rizki Aldiansyah
July 27, 2023
1 Data Preparation
library(dplyr)customer_bank <- read.csv("data_input/bank_transactions.csv")
head(customer_bank)#> TransactionID CustomerID CustomerDOB CustGender CustLocation
#> 1 T1 C5841053 10/1/94 F JAMSHEDPUR
#> 2 T2 C2142763 4/4/57 M JHAJJAR
#> 3 T3 C4417068 26/11/96 F MUMBAI
#> 4 T4 C5342380 14/9/73 F MUMBAI
#> 5 T5 C9031234 24/3/88 F NAVI MUMBAI
#> 6 T6 C1536588 8/10/72 F ITANAGAR
#> CustAccountBalance TransactionDate TransactionTime TransactionAmount..INR.
#> 1 17819.05 2/8/16 143207 25.0
#> 2 2270.69 2/8/16 141858 27999.0
#> 3 17874.44 2/8/16 142712 459.0
#> 4 866503.21 2/8/16 142714 2060.0
#> 5 6714.43 2/8/16 181156 1762.5
#> 6 53609.20 2/8/16 173940 676.0glimpse(customer_bank)#> Rows: 1,048,567
#> Columns: 9
#> $ TransactionID <chr> "T1", "T2", "T3", "T4", "T5", "T6", "T7", "T8"…
#> $ CustomerID <chr> "C5841053", "C2142763", "C4417068", "C5342380"…
#> $ CustomerDOB <chr> "10/1/94", "4/4/57", "26/11/96", "14/9/73", "2…
#> $ CustGender <chr> "F", "M", "F", "F", "F", "F", "F", "M", "F", "…
#> $ CustLocation <chr> "JAMSHEDPUR", "JHAJJAR", "MUMBAI", "MUMBAI", "…
#> $ CustAccountBalance <dbl> 17819.05, 2270.69, 17874.44, 866503.21, 6714.4…
#> $ TransactionDate <chr> "2/8/16", "2/8/16", "2/8/16", "2/8/16", "2/8/1…
#> $ TransactionTime <int> 143207, 141858, 142712, 142714, 181156, 173940…
#> $ TransactionAmount..INR. <dbl> 25.00, 27999.00, 459.00, 2060.00, 1762.50, 676…Inisgth Dari hasil info dataset diatas ada beberapa masukan diantaranya: - Kolom CostumerDOB(Day of Birth) dapat dilakukan tranfrom data menjadi Age dari selisih CostumerDOB dan TransactionDate. - Baris data yang tadinya Transaction ID, akan dibuat menjadi CostumerID dimana pada baris yang baru ini akan dibuat menjadi RMF (Recency Frequency Monetary Value). dimana RMF ini membantu untuk mengelompokan pelanggan berdasarkan pola dari prilakunya terhadap transaksi. - Adapun tipe data yang akan dirubah yaitu CustomerDOB, CustGender dan TransactionDate
1.1 Mengecek Unique, Variansi dan Missing Value
check <- function(df) {
l <- list()
columns <- names(df)
for (col in columns) {
dtypes <- class(df[[col]])
nunique <- length(unique(df[[col]]))
sum_null <- sum(is.na(df[[col]]))
l <- c(l, list(c(col, dtypes, nunique, sum_null)))
}
df_check <- as.data.frame(do.call(rbind, l))
colnames(df_check) <- c('column', 'dtypes', 'nunique', 'sum_null')
return(df_check)
}check_table <- check(customer_bank)
print(check_table)#> column dtypes nunique sum_null
#> 1 TransactionID character 1048567 0
#> 2 CustomerID character 884265 0
#> 3 CustomerDOB character 17255 0
#> 4 CustGender character 4 0
#> 5 CustLocation character 9356 0
#> 6 CustAccountBalance numeric 161329 2369
#> 7 TransactionDate character 55 0
#> 8 TransactionTime integer 81918 0
#> 9 TransactionAmount..INR. numeric 93024 0total_duplicates <- sum(duplicated(customer_bank))
print(total_duplicates)#> [1] 0Insigth - Terdapat Missing Value pada kolom CustAccountBlanace. Hal yang akan dilakukan untuk memperbaikinya dengan menggunakan mean untuk mengisi data tersebut - Ternyata kolom CustLocation memiliki data unqiue yang banyak. hal tersebut tidak dapat dikategorikan kedalam tipe data factor. karena banyaknya kategori yang ada pada kolom tersebut. oleh karenanya kolom ini akan dilakukan penghapusan saat nanti modeling (masih digunakan pada saat EDA). hal tersebut dapat tidak dilakukan penghapusan dengan menggantinya menggunakan cara lain yaitu melakukan transformasi data yang tadinya lokasi-lokasi yang menyebar d iIndia, dirubah menjadi lokasi-lokasi yang semakin mengerucut seperti provinsi, dsb.
library(lubridate)customer_bank_clean <- customer_bank %>%
mutate(CustomerDOB = dmy(CustomerDOB)) %>%
mutate(TransactionDate = dmy(TransactionDate)) %>%
mutate(CustGender = as.factor(CustGender))customer_bank_clean <- customer_bank_clean %>%
mutate(CustomerAge = year(TransactionDate) - year(CustomerDOB))1.2 Data Cleansing
# Menggantikan nilai yang hilang dengan mean
impute_with_mean <- function(x) {
if (is.numeric(x)) {
mean_value <- mean(x, na.rm = TRUE)
x[is.na(x)] <- mean_value
return(x)
} else {
return(x)
}
}
customer_bank_clean <- as.data.frame(lapply(customer_bank_clean, impute_with_mean))summary(customer_bank_clean)#> TransactionID CustomerID CustomerDOB CustGender
#> Length:1048567 Length:1048567 Min. :1800-01-01 : 1100
#> Class :character Class :character 1st Qu.:1982-06-19 F:281936
#> Mode :character Mode :character Median :1988-02-20 M:765530
#> Mean :1980-06-30 T: 1
#> 3rd Qu.:1991-11-23
#> Max. :2068-12-31
#> NA's :3397
#> CustLocation CustAccountBalance TransactionDate TransactionTime
#> Length:1048567 Min. : 0 Min. :2016-08-01 Min. : 0
#> Class :character 1st Qu.: 4740 1st Qu.:2016-08-12 1st Qu.:124030
#> Mode :character Median : 16886 Median :2016-08-25 Median :164226
#> Mean : 115404 Mean :2016-08-25 Mean :157088
#> 3rd Qu.: 58206 3rd Qu.:2016-09-06 3rd Qu.:200010
#> Max. :115035495 Max. :2016-10-21 Max. :235959
#>
#> TransactionAmount..INR. CustomerAge
#> Min. : 0 Min. :-52.00
#> 1st Qu.: 161 1st Qu.: 25.00
#> Median : 459 Median : 28.00
#> Mean : 1574 Mean : 35.97
#> 3rd Qu.: 1200 3rd Qu.: 34.00
#> Max. :1560035 Max. :216.00
#> check_table <- check(customer_bank_clean)
print(check_table)#> column dtypes nunique sum_null
#> 1 TransactionID character 1048567 0
#> 2 CustomerID character 884265 0
#> 3 CustomerDOB Date 17255 3397
#> 4 CustGender factor 4 0
#> 5 CustLocation character 9356 0
#> 6 CustAccountBalance numeric 161329 0
#> 7 TransactionDate Date 55 0
#> 8 TransactionTime numeric 81918 0
#> 9 TransactionAmount..INR. numeric 93024 0
#> 10 CustomerAge numeric 101 01.3 Membuat Table RFM (Recency, Frequency, Monetary Value)
customer_bank_clean <- customer_bank_clean %>%
mutate(TransactionDate1 = TransactionDate,
TransactionDate2 = TransactionDate)RFM_data <- customer_bank_clean %>%
group_by(CustomerID) %>%
summarise(
Frequency = n(),
CustGender = first(CustGender),
CustLocation = first(CustLocation),
CustAccountBalance = mean(CustAccountBalance),
TransactionAmount_INR = mean(TransactionAmount..INR.),
CustomerAge = max(CustomerAge),
TransactionDate2 = max(TransactionDate2),
TransactionDate1 = min(TransactionDate1),
TransactionDate = median(TransactionDate)
)
# Reset index
RFM_data <- as.data.frame(RFM_data)RFM_data <- RFM_data %>%
mutate(Recency = as.integer(as.numeric(TransactionDate2 - TransactionDate1))) %>%
mutate(Recency = ifelse(Recency == 0, 1, Recency)) %>%
select(-c(CustomerID, TransactionDate1, TransactionDate2))
# Menampilkan data hasil
head(RFM_data)#> Frequency CustGender CustLocation CustAccountBalance TransactionAmount_INR
#> 1 2 F NOIDA 76340.63 2553.0
#> 2 1 M MUMBAI 24204.49 1499.0
#> 3 2 F MUMBAI 100112.95 727.5
#> 4 1 F CHAMPARAN 496.18 30.0
#> 5 1 M KOLKATA 87058.65 5000.0
#> 6 1 F DELHI 296828.37 557.0
#> CustomerAge TransactionDate Recency
#> 1 33 2016-09-02 48
#> 2 22 2016-08-14 1
#> 3 32 2016-08-04 6
#> 4 26 2016-09-15 1
#> 5 -49 2016-08-18 1
#> 6 28 2016-08-29 12 Exploratory Data Analyst
summary(RFM_data)#> Frequency CustGender CustLocation CustAccountBalance
#> Min. :1.000 : 937 Length:884265 Min. : 0
#> 1st Qu.:1.000 F:237946 Class :character 1st Qu.: 5616
#> Median :1.000 M:645381 Mode :character Median : 18817
#> Mean :1.186 T: 1 Mean : 115159
#> 3rd Qu.:1.000 3rd Qu.: 62400
#> Max. :6.000 Max. :115035495
#> TransactionAmount_INR CustomerAge TransactionDate Recency
#> Min. : 0 Min. :-52.00 Min. :2016-08-01 Min. : 1.000
#> 1st Qu.: 192 1st Qu.: 25.00 1st Qu.:2016-08-13 1st Qu.: 1.000
#> Median : 500 Median : 29.00 Median :2016-08-25 Median : 1.000
#> Mean : 1575 Mean : 38.78 Mean :2016-08-25 Mean : 3.828
#> 3rd Qu.: 1248 3rd Qu.: 35.00 3rd Qu.:2016-09-05 3rd Qu.: 1.000
#> Max. :1560035 Max. :216.00 Max. :2016-10-21 Max. :81.000Insigth - Terdapat gender T yang hanya satu pada dataset ini. oleh karenanya agar data tersebut tidak merusak variasi data karena sample yang terlalu dibawah maka akan dihapus baris pada gender tersebut - Pada table CustomerDOB terdapat keanehan dimana terjadi outlier sangat besar pada minimal umur dan maximal. karena ada yang berumur 216 sedangkan kuartil 3-nya ada diangka 35thn dan tidak mungkin juga ada seseorang yang berumur hingga 216. selain itu terdapat juga yang berumur -52. hal tersebut sangat janggal karna tidak mungkin ada umur yang dibawah 1 - Pada kolom CustAccountBalance dan TransactionAmount terdapat outlier yang sangat tinggi, akan tetapi karna kolom tersebut merupakan data yang bisa saja valid dan merupakan Balancae atau Transaction Amount yang dilakukan salah satu kostumer sebanyak itu maka hal tersebut akan dipertimbangkan dengan mencoba untuk menggunakan dan tidak menggunakan.
2.1 Menghapus Data Gender T
RFM_data <- RFM_data %>%
filter(CustGender != "T") %>%
filter(CustGender != "") %>%
filter(CustGender != " ")2.2 Menghapus Data Age yang Dibawah 0
# Menghapus baris dengan nilai "CustomerAge" kurang dari 0
RFM_data <- RFM_data %>%
filter(CustomerAge >= 0)2.3 Analisis Lanjutan Outlier
cols_numeric <- c('Frequency', 'CustAccountBalance', 'TransactionAmount_INR', 'CustomerAge', 'Recency')
outliers_list <- list()
for (i in cols_numeric) {
Q1 <- quantile(RFM_data[[i]], 0.25)
Q3 <- quantile(RFM_data[[i]], 0.75)
IQR <- Q3 - Q1
lower <- Q1 - 1.5 * IQR
upper <- Q3 + 1.5 * IQR
# Calculate number of outliers
num <- sum(RFM_data[[i]] < lower | RFM_data[[i]] > upper)
# Calculate percentage of outliers
perc <- (num / nrow(RFM_data)) * 100
outliers_list[[i]] <- c(lower, upper, num, round(perc, 2))
}
# Create a data frame to store the outlier information
outliers_df <- data.frame(matrix(unlist(outliers_list), ncol = 4, byrow = TRUE))
colnames(outliers_df) <- c('lower', 'upper', 'outliers', 'Perc%')
rownames(outliers_df) <- cols_numeric
outliers_df#> lower upper outliers Perc%
#> Frequency 1.0000 1.00000 143087 16.94
#> CustAccountBalance -75165.2150 139854.90500 108595 12.86
#> TransactionAmount_INR -1332.5000 2719.50000 87726 10.39
#> CustomerAge 11.0385 50.93583 56096 6.64
#> Recency 1.0000 1.00000 135698 16.07Insigth - Dapat dilihat bahwa semua data numeric memiliki outlier yang berada diatas 10% dan dibawah 16.24% hal tersebut menunjukan terdapat lumayan data yang outlier pada dataset ini. langkah selanjutnya akan coba melihat jika menghapus outlier apakah banyak data yang terhapus. lalu akan coba untuk melakukan korelasi antara yang memiliki korelasi dan tidak. - Kolom Outlier yang akan dihapus diantaranya adalah CustAccountBalance, TransactionAmount_INR, dan CustomerAge. hal tersebut karena jika frequensi dan recency dilakukan penghapusan juga maka akan membuat variasi dari datanya akan buruk karena jika kita lihat quartil 1 dan 3 terdapat pada angka 1.
2.3.1 Menghapus Outlier
# Function to remove outlier from a vector
cols_outliers <- c('CustAccountBalance', 'TransactionAmount_INR', 'CustomerAge')
remove_outliers <- function(x) {
Q1 <- quantile(x, 0.25)
Q3 <- quantile(x, 0.75)
IQR <- Q3 - Q1
lower <- Q1 - 1.5 * IQR
upper <- Q3 + 1.5 * IQR
x[which(x < lower | x > upper)] <- NA
return(x)
}
# Remove outliers from the columns in RFM_data
RFM_data_cleaned <- RFM_data %>%
mutate(across(cols_outliers, remove_outliers))
# Drop rows with any NA values (rows with outliers)
RFM_data_cleaned <- na.omit(RFM_data_cleaned)
# Comparing lengths of original and cleaned data
length_before <- nrow(RFM_data)
length_after <- nrow(RFM_data_cleaned)
# Display the comparison
cat("Length before removing outliers:", length_before, "\n")#> Length before removing outliers: 844571cat("Length after removing outliers:", length_after, "\n")#> Length after removing outliers: 637115# Calculate percentage of data removed
percentage_removed <- (1 - nrow(RFM_data_cleaned) / nrow(RFM_data)) * 100
# Display the percentage of data removed
cat("Percentage of data removed:", round(percentage_removed, 2), "%\n")#> Percentage of data removed: 24.56 %Insigth Terlihat bahwa persentase data yang terbuang sebanyak 38.52% yang menunjukan lumayan banyak data yang terbuang. oleh karenanya akan dicoba untuk dilakukan analisis lanjutan apakah penghapusan outlier ini sangat berpengaruh atau tidak.
summary(RFM_data_cleaned)#> Frequency CustGender CustLocation CustAccountBalance
#> Min. :1.000 : 0 Length:637115 Min. : 0
#> 1st Qu.:1.000 F:171083 Class :character 1st Qu.: 4058
#> Median :1.000 M:466032 Mode :character Median : 12751
#> Mean :1.175 T: 0 Mean : 24402
#> 3rd Qu.:1.000 3rd Qu.: 32682
#> Max. :6.000 Max. :139855
#> TransactionAmount_INR CustomerAge TransactionDate Recency
#> Min. : 0.0 Min. :12.00 Min. :2016-08-01 Min. : 1.000
#> 1st Qu.: 140.0 1st Qu.:25.00 1st Qu.:2016-08-13 1st Qu.: 1.000
#> Median : 349.0 Median :28.00 Median :2016-08-25 Median : 1.000
#> Mean : 570.5 Mean :29.49 Mean :2016-08-25 Mean : 3.687
#> 3rd Qu.: 800.0 3rd Qu.:33.00 3rd Qu.:2016-09-05 3rd Qu.: 1.000
#> Max. :2719.5 Max. :47.00 Max. :2016-10-21 Max. :81.0002.4 Visualisasi
2.4.1 Korelasi RFM yang ada outlier dan tidak
2.4.1.1 Korelasi RFM tanpa outlier
# Load required libraries
library(ggplot2)
library(corrplot)
numeric_data <- RFM_data_cleaned[, cols_numeric]
# Calculate correlation matrix
correlation_outlier <- cor(numeric_data)
# Create correlation plot
corrplot(correlation_outlier,
method = "color",
col = colorRampPalette(c("white", "red"))(100),
tl.col = "black",
tl.srt = 45,
type = "upper",
diag = FALSE,
addCoef.col = "black",
number.cex = 0.8,
tl.cex = 0.7,
mar = c(0, 0, 1, 0))
# Set plot size
options(repr.plot.width = 7, repr.plot.height = 5)2.4.1.2 Korelasi RFM dengan outlier
# Load required libraries
library(ggplot2)
library(corrplot)
numeric_data <- RFM_data[, cols_numeric]
# Calculate correlation matrix
correlation <- cor(numeric_data)
# Create correlation plot
corrplot(correlation,
method = "color",
col = colorRampPalette(c("white", "red"))(100),
tl.col = "black",
tl.srt = 45,
type = "upper",
diag = FALSE,
addCoef.col = "black",
number.cex = 0.8,
tl.cex = 0.7,
mar = c(0, 0, 1, 0))
# Set plot size
options(repr.plot.width = 7, repr.plot.height = 5)Insigth Dari kedua hasil kerelasi tersebut terdapat perbandingan korelasi yang lumayan signifikan dimana korelasi yang terjadi pada data yang dihapus outlier memiliki nilai korelasi yang lebih baik daripada tidak dihapus. oleh karenanya akan dilakukan analisis lanjutan kepada table yang sudah dilakukan penghapusan outlier
2.4.2 Frekuensi
# Plot count menggunakan ggplot2
chart <- ggplot(RFM_data_cleaned, aes(x = Frequency)) +
geom_bar(fill = "red") +
labs(title = "Frequency",
x = "Frequency",
y = "Count") +
theme_minimal() +
theme(text = element_text(size = 20, color = "black"),
plot.title = element_text(hjust = 0.5, size = 20, color = "black"),
plot.background = element_rect(fill = "AliceBlue"),
panel.background = element_blank(),
panel.grid.major = element_blank(),
panel.grid.minor = element_blank(),
axis.line = element_line(color = "black"),
axis.text = element_text(color = "black"))
# Menampilkan plot
print(chart)
Insigth Dari hasil visualisasi ini dapat disimpulkan
bahwa frequensi dengan banyak transaksi sebanyak 6 kali memiliki
frekuensi paling sedikit.
2.4.3 Umur Wanita vs Lelaki
library(ggplot2)
library(ggpubr)
# Create a histogram for Customer Age
plot_age <- ggplot(RFM_data_cleaned, aes(x = CustomerAge, fill = "red")) +
geom_histogram() +
labs(title = "Distribution of Customer Age",
x = "Customer Age",
y = "Count") +
theme_minimal() +
theme(text = element_text(size = 12),
plot.title = element_text(hjust = 0.5, size = 15),
plot.background = element_rect(fill = "white"),
panel.background = element_rect(fill = "white"),
axis.line = element_line(color = "black"))
plot_age
Insigth Distribusi Umur Customer pada bank ini terdapat
pada 20 hingga 49an tahunan dan didominasi dengan rentan umur 25 hingga
33an tahun
# Create a pie chart for Customer Gender
plot_gender <- ggplot(RFM_data_cleaned, aes(x = "", fill = CustGender)) +
geom_bar(width = 1) +
coord_polar("y", start = 0) +
labs(title = "Customer Gender",
x = NULL,
y = NULL,
fill = "Gender") +
theme_minimal() +
theme(text = element_text(size = 12),
plot.title = element_text(hjust = 0.5, size = 15),
plot.background = element_rect(fill = "white"),
panel.background = element_rect(fill = "white"),
axis.line = element_blank(),
axis.text = element_blank(),
axis.title = element_blank(),
legend.position = "bottom")
plot_gender
Insigth Frekuensi lelaki pada bank ini lebih banyak
daripada wanita
# Histogram membandingkan umur wanita dan pria
plot_hist <- ggplot(RFM_data_cleaned, aes(x = CustomerAge, fill = CustGender)) +
geom_histogram(position = "identity", alpha = 0.7, bins = 20) +
labs(title = "Perbandingan Umur antara Wanita dan Pria",
x = "Umur",
y = "Count",
fill = "Jenis Kelamin") +
theme_minimal() +
theme(text = element_text(size = 12),
plot.title = element_text(hjust = 0.5, size = 15),
plot.background = element_rect(fill = "white"),
panel.background = element_rect(fill = "white"),
axis.line = element_line(color = "black"))
# Menampilkan plot histogram
plot_hist
Insigth Distribusi umur yang ada pada wanita dan laki ini memiliki kemiripan yang sangat signifikan. terlihat dari pola histogram yang cenderung mirip dan hanya berbeda dari jumlahnya saja
2.4.4 Top 20 Lokasi Teratas
# Filter dan atur data untuk 20 lokasi teratas
top_20_locations <- RFM_data_cleaned %>%
count(CustLocation) %>%
top_n(20, n) %>%
arrange(desc(n))
# Buat plot count menggunakan ggplot2
chart <- ggplot(top_20_locations, aes(x = n, y = reorder(CustLocation, n), fill = "rocket")) +
geom_bar(stat = "identity") +
labs(title = "Most 20 Locations of Customers",
x = "Count",
y = "Location",
fill = NULL) +
theme_minimal() +
theme(text = element_text(size = 12),
plot.title = element_text(hjust = 0.5, size = 15),
plot.background = element_rect(fill = "white"),
panel.background = element_rect(fill = "white"),
axis.line = element_line(color = "black"),
axis.text.y = element_text(hjust = 1),
legend.position = "none")
# Menampilkan plot
chart
Insigth Dari 20 lokasi dengan transaksi terbanyak
terjadi dikota mumbai yang disusul dengan bangalore dan new delhie.
2.4.5 Trend Transaction dan Balance
# Hitung selisih antara tanggal maksimum dan tanggal minimum
date_range <- RFM_data_cleaned %>%
summarize(DateRange = max(TransactionDate) - min(TransactionDate))
date_range#> DateRange
#> 1 81 daysweek_RFM <- RFM_data_cleaned %>%
group_by(week = floor_date(TransactionDate, unit = "week")) %>%
summarise(
mean_CustAccountBalance = mean(CustAccountBalance),
mean_TransactionAmount = mean(TransactionAmount_INR)
)week_RFM#> # A tibble: 12 × 3
#> week mean_CustAccountBalance mean_TransactionAmount
#> <date> <dbl> <dbl>
#> 1 2016-07-31 22955. 561.
#> 2 2016-08-07 23474. 583.
#> 3 2016-08-14 25231. 593.
#> 4 2016-08-21 26065. 565.
#> 5 2016-08-28 25141. 573.
#> 6 2016-09-04 23546. 577.
#> 7 2016-09-11 23693. 538.
#> 8 2016-09-18 24683. 547.
#> 9 2016-09-25 24925. 519.
#> 10 2016-10-02 32624. 673.
#> 11 2016-10-09 16229. 299.
#> 12 2016-10-16 25328. 537.# Plot Customer Account Balance Over Time
plot_balance <- ggplot(week_RFM, aes(x = week, y = mean_CustAccountBalance, color = "red", group = 1)) +
geom_line() +
labs(title = "Customer Account Balance Over Time (Weekly)",
x = "Week",
y = "Mean Customer Account Balance",
color = NULL) +
theme_minimal() +
theme(text = element_text(size = 12),
plot.title = element_text(hjust = 0.5, size = 15),
plot.background = element_rect(fill = "white"),
panel.background = element_rect(fill = "white"),
axis.line = element_line(color = "black"))
plot_balance
Insigth Terdapat kenaikan mulai agustus hingga minggu
ke 3 akan tetapi terjadi penurunan hingga awal minggu september. dan
naik lagi sangat signifikan pada bulan oktober lalu terjadi penurunan
yang sangat signifikan sekali pada pertengahan okbotber hingga akhirnya
terdapat kenaikan yang sangat signifikan pada pertengahan oktober hingga
ke bolan november.
# Plot Transaction Amount Over Time
plot_transaction <- ggplot(week_RFM, aes(x = week, y = mean_TransactionAmount, color = "red", group = 1)) +
geom_line() +
labs(title = "Transaction Amount (INR) Over Time (Weekly)",
x = "Week",
y = "Mean Transaction Amount (INR)",
color = NULL) +
theme_minimal() +
theme(text = element_text(size = 12),
plot.title = element_text(hjust = 0.5, size = 15),
plot.background = element_rect(fill = "white"),
panel.background = element_rect(fill = "white"),
axis.line = element_line(color = "black"))
plot_transaction
Insigth Trend pada Transaksi terus menurun setiap
minggunya maupun beberapa kali naik sedikit akan tetapi selalu terjadi
penurunan hingga akhirnya turun drastis pada dipertengahan minggu pada
bulan oktober dan naik kembali pada akhir oktober maupun kenaikannya
tidak begitu banyak
Kesimpulan - Korelasi : Data ini memiliki korelasi yang kuat antara Frekuensi dan Recency. dan pada kolom lainnya tidak terlalu memiliki nilai korelasi yang tinggi hanya kisaran 0.1 hingga 0.3 - Kolom Frekuensi sangat tidak terdisribusi dengan baik. terdapat jumlah yang sedikit pada frekuensi terjadinya transaksi sebanyak 6 kali - Costumer didominasi oleh lelaki - Umur Terdistribusi pada umur 20an hingga 40an. distribusi umur ini memiliki pola yang sama antara lelaki dan perempuan - Trend pada transaksin dan tabungan costumer memiliki trend yang sama pada pertengahan september hingga akhir oktober.
3 Feature Enginner
# Menghapus indeks baris dan menyimpannya dalam data frame yang sama
rownames(RFM_data_cleaned) <- NULL
# Menampilkan data frame RMF_data
head(RFM_data_cleaned)#> Frequency CustGender CustLocation CustAccountBalance TransactionAmount_INR
#> 1 2 F NOIDA 76340.635 2553.0
#> 2 1 M MUMBAI 24204.490 1499.0
#> 3 2 F MUMBAI 100112.950 727.5
#> 4 1 F CHAMPARAN 496.180 30.0
#> 5 2 M VAPI 5200.155 932.0
#> 6 1 F LOHIT 1290.760 100.0
#> CustomerAge TransactionDate Recency
#> 1 33 2016-09-02 48
#> 2 22 2016-08-14 1
#> 3 32 2016-08-04 6
#> 4 26 2016-09-15 1
#> 5 32 2016-08-03 1
#> 6 24 2016-09-07 1# Menghapus kolom 'CustLocation' dan 'TransactionDate'
RFM_data_cleaned <- select(RFM_data_cleaned, -c(CustLocation, TransactionDate))
# Mengubah nilai pada kolom 'CustGender' menjadi bilangan bulat
RFM_data_cleaned$CustGender <- ifelse(RFM_data_cleaned$CustGender == "M", 1, 0)
RFM_sample <- sample_n(RFM_data_cleaned, size = 15000, replace = FALSE)
# Menampilkan dimensi (shape) dari data frame RFM_data_cleaned
dim(RFM_data_cleaned)#> [1] 637115 6library(caret)
min_max_scaling <- function(x) {
(x - min(x)) / (max(x) - min(x))
}
z_score_scaling <- function(x) {
(x - mean(x)) / sd(x)
}
cols_minmax <- c("Frequency", "CustGender", "Recency")
cols_standard <- c("CustAccountBalance", "TransactionAmount_INR", "CustomerAge")
# Standarisasi dengan Z-Score Scaling pada kolom tertentu
RFM_scaled <- RFM_data_cleaned
RFM_scaled[cols_minmax] <- sapply(RFM_data_cleaned[cols_minmax], min_max_scaling)
RFM_scaled[cols_standard] <- sapply(RFM_data_cleaned[cols_standard], z_score_scaling)
# Menampilkan data yang telah di-standarisasi dengan Z-Score Scaling
head(RFM_scaled)#> Frequency CustGender CustAccountBalance TransactionAmount_INR CustomerAge
#> 1 0.2 0 1.755925220 3.3418181 0.5858991
#> 2 0.0 1 -0.006682393 1.5651350 -1.2486349
#> 3 0.2 0 2.559614549 0.2646501 0.4191233
#> 4 0.0 0 -0.808207854 -0.9110961 -0.5815316
#> 5 0.2 1 -0.649176876 0.6093671 0.4191233
#> 6 0.0 0 -0.781344864 -0.7931001 -0.9150832
#> Recency
#> 1 0.5875
#> 2 0.0000
#> 3 0.0625
#> 4 0.0000
#> 5 0.0000
#> 6 0.0000# Set seed untuk kekonsistenan hasil acak
set.seed(69)
# Memilih secara acak 75,000 baris dari data frame RMF_scaled
RFM_scaled <- sample_n(RFM_scaled, size = 15000, replace = FALSE)
# Mengatur ulang indeks baris
rownames(RFM_scaled) <- NULL
# Menampilkan lima baris pertama dari data frame RMF_scaled yang telah dipilih secara acak
head(RFM_scaled)#> Frequency CustGender CustAccountBalance TransactionAmount_INR CustomerAge
#> 1 0.0 0 -0.2902249 0.7239918 2.0868815
#> 2 0.0 0 -0.7678674 -0.7762435 -0.7483074
#> 3 0.0 0 0.2084362 1.1420349 -0.7483074
#> 4 0.0 0 -0.8038041 -0.9279527 -1.4154107
#> 5 0.4 0 -0.4994237 -0.5469940 -0.5815316
#> 6 0.0 1 -0.3934340 -0.9279527 -0.2479800
#> Recency
#> 1 0.000
#> 2 0.000
#> 3 0.000
#> 4 0.000
#> 5 0.325
#> 6 0.0004 Model
4.1 PCA
plot(prcomp(RFM_scaled))
pca <- prcomp(RFM_scaled)
summary(pca)#> Importance of components:
#> PC1 PC2 PC3 PC4 PC5 PC6
#> Standard deviation 1.1705 0.9126 0.8972 0.43727 0.11990 0.04386
#> Proportion of Variance 0.4261 0.2590 0.2503 0.05946 0.00447 0.00060
#> Cumulative Proportion 0.4261 0.6852 0.9355 0.99493 0.99940 1.00000Insigth Hasil tersebut menunjukan bahwa PC3 merupakan yang baik untuk digunakan, hal tersebut karena Standard Deviasinya menunjukan nilai yang diatas 85%.
# mengambil PC hasil dimensionality reduction
pc_keep <- as.data.frame(pca$x[,1:3])
pc_keep#> PC1 PC2 PC3
#> 1 -1.49658496795 -1.11332144731 1.16005993755
#> 2 1.31075134154 0.01986205782 0.00129381840
#> 3 -0.30705747399 -0.32913492472 -1.36886362611
#> 4 1.81659802962 0.22952626233 -0.40929869972
#> 5 0.91762768089 0.05859428691 -0.06266610351
#> 6 0.89367066937 0.27356250496 0.46576175400
#> 7 -1.69968648306 1.48180008538 -1.86351236266
#> 8 0.92556524870 -0.03020307598 0.40166043645
#> 9 -2.73487235683 0.17156536692 -2.25606857816
#> 10 0.41458097341 -0.89447368865 -1.55500736081
#> 11 -0.83846923691 0.15949327416 0.81190264288
#> 12 0.70572364474 0.35039159481 0.12388776665
#> 13 0.17970329790 0.52173341217 -0.22869199711
#> 14 0.10187415252 -0.63915882800 1.10759577739
#> 15 1.21505051542 -0.05440152662 0.40429440258
#> 16 -2.47706229637 -0.66072371522 1.67560668849
#> 17 -0.71655757856 -0.42516324516 1.17020408463
#> 18 -1.37664836310 -0.47513079103 -0.88159667261
#> 19 -0.70771460328 -0.84996384363 -0.03307956663
#> 20 0.19952900130 1.96116115529 -0.88596520048
#> 21 1.47763293504 0.15921969654 -0.84714226054
#> 22 1.22303378220 0.14916324820 -0.18111403688
#> 23 0.92952580039 -0.39880817964 -0.57184339938
#> 24 1.28702730266 0.71428415663 -0.39946079991
#> 25 -2.02215885576 -1.99249888062 0.12161223282
#> 26 1.69295237027 0.10641435209 -0.75942632722
#> 27 0.27683316950 0.61432901666 0.73369599453
#> 28 1.10597392372 0.04649507255 -0.36849198428
#> 29 -0.71936530801 -0.37224799701 2.05201840266
#> 30 0.90301074689 0.35818090776 0.21524528985
#> 31 -0.84134480378 -0.51458908722 -0.47367944399
#> 32 -2.49151695876 1.10409082692 0.01066958351
#> 33 1.30097287198 1.09450347880 -0.99391458410
#> 34 0.97551542108 0.65568787996 -0.87788708103
#> 35 1.01385438362 -0.14071446462 -0.43005954951
#> 36 0.69859310914 -0.10830912417 0.41800860143
#> 37 0.49430325072 -0.22782646882 0.59157815416
#> 38 -0.56637823607 0.07535899235 0.79584113113
#> 39 1.67202280932 0.08259971872 -0.28303441032
#> 40 0.05564564407 -0.53769153410 0.00534724780
#> 41 -1.00753503169 -0.59595511607 2.41195098490
#> 42 -1.52321927243 -0.26282694276 -1.43396574710
#> 43 0.27373073927 -0.65990340669 0.50912049953
#> 44 -0.51147247037 1.09057022126 0.48160571618
#> 45 1.14068354956 -0.07440886673 0.27461743745
#> 46 -2.18656597692 2.42611516544 -1.53383727678
#> 47 -1.15206823578 -1.16637382891 1.92572841492
#> 48 -1.53241158187 -0.29088762224 -1.60099209321
#> 49 -1.56043813869 -1.80758762316 -1.04772158310
#> 50 -0.99299212305 -0.44554534621 1.39827786489
#> 51 0.72024985853 -0.18679236446 0.34642940989
#> 52 0.84094197743 -0.22938970444 0.49404689892
#> 53 0.90342090286 0.00640686568 0.39504484861
#> 54 -0.62979681575 0.33585013901 0.81003121312
#> 55 -0.13337204352 1.13389971470 0.06485240216
#> 56 -0.85678499990 -0.47435082372 0.11186255814
#> 57 -0.53599113566 2.32418868226 -0.70450734227
#> 58 0.17149490639 -0.99560079973 -0.25529747427
#> 59 -2.44095829627 -1.70134165156 -0.40383709178
#> 60 0.64649606768 0.37152165471 -0.34171714311
#> 61 1.70181914355 0.17706582006 -0.66622447167
#> 62 0.22254942926 -0.24173172402 -0.27006188200
#> 63 1.45595158748 0.13961412697 -0.00138885471
#> 64 1.74959447239 0.50238137524 -0.53336917105
#> 65 0.67830525062 -0.12995923880 0.12091900725
#> 66 0.87535092704 -0.66036192987 -0.90813573557
#> 67 -0.31220431936 0.02245144220 1.19010062573
#> 68 0.05365343564 -0.09716597948 0.56724090777
#> 69 1.14675286662 -0.09869499002 -0.74783641807
#> 70 1.38694014617 0.05968618972 0.13821080056
#> 71 0.70598906334 -0.52775869216 -0.35059234719
#> 72 1.84660293699 0.19809102545 -0.32947433499
#> 73 -2.53275574550 -0.08816352552 1.14852564013
#> 74 1.00027097484 0.79087320804 -0.23299738836
#> 75 1.13464123515 0.08370406448 -0.26958223648
#> 76 -3.27667954077 0.66995307274 -1.66598241796
#> 77 1.02726963123 0.72594181689 -0.58264564864
#> 78 -0.62708300331 0.15523483245 0.32493561274
#> 79 0.64800026860 0.74736456546 0.12955531344
#> 80 -0.59161162408 0.57317997341 -0.17605327219
#> 81 -1.74886329582 -0.79614900858 0.84346821625
#> 82 1.11424244312 0.60140626926 -0.13372389666
#> 83 -0.12029620635 -0.43900666484 0.34317718467
#> 84 0.41772458748 -0.76024930489 0.00668975346
#> 85 1.51203761903 0.10837613045 0.03340073567
#> 86 1.45950608174 0.36572442859 -0.21493912620
#> 87 0.83091134737 0.26692596722 -0.45386045958
#> 88 -0.30381493139 -0.89918529166 0.20346838521
#> 89 -0.57425978234 -0.71925875775 2.28107444277
#> 90 -1.51071293939 -0.62908922503 0.27092867237
#> 91 -1.65403456383 2.74592796127 -0.35441288431
#> 92 0.77262552456 -0.13154723565 -0.17643821843
#> 93 -0.75734012929 -0.53819800013 1.10977094784
#> 94 -0.79529451760 -0.14684033110 -0.32973016795
#> 95 0.79807569676 0.22558074451 -0.05747162021
#> 96 0.37123343701 0.24439163038 0.04779804569
#> 97 -1.52340307859 -1.28337681197 -2.52443292764
#> 98 0.92607568209 -0.12059212726 0.15842542376
#> 99 1.08858719835 -0.05668792216 0.52164444435
#> 100 0.57080257243 -0.16110353830 0.95375157589
#> 101 0.66401063273 -0.26334613359 0.71415125570
#> 102 0.34115722304 -0.37059044044 0.72512292776
#> 103 -0.68250621033 -0.11307508136 1.07130137545
#> 104 0.86993870245 -0.10758483174 0.76961955708
#> 105 -0.50848187760 -0.62121225044 2.29584756779
#> 106 -0.51779744852 -0.95560167204 0.73613579452
#> 107 -0.44320157028 0.19741134760 1.78414631735
#> 108 -0.62310391493 -0.14066941583 0.82710377024
#> 109 0.92732443937 -0.18184883359 0.35856080047
#> 110 -2.63674567117 -0.58262503742 -2.40037828301
#> 111 -0.22858242793 0.40572630745 0.92781408470
#> 112 0.59438146210 0.45019938225 0.06590846591
#> 113 0.35330669541 0.64328438661 0.30233888594
#> 114 1.11530185291 -0.09056272116 0.53264378015
#> 115 0.76568586491 -0.30087847599 0.63122815585
#> 116 0.88972909386 -0.13432993762 0.77728385966
#> 117 -0.62639476505 -0.67023583202 0.08336154919
#> 118 0.96916013480 -0.17987753690 0.60904711181
#> 119 -3.82523187134 1.20041403490 -1.65761457857
#> 120 0.66274651335 -0.20467794533 0.36165211814
#> 121 0.75000315357 0.91356870808 -0.17600908911
#> 122 0.22520077235 -0.16481358995 1.26767233728
#> 123 1.39213977392 0.05207550873 -0.07707034396
#> 124 1.64553162799 0.12343997606 -0.07469203609
#> 125 1.09465855252 -0.05046527596 0.09398019844
#> 126 0.34682843965 0.26729384451 -0.39885680954
#> 127 -0.69778195227 2.54060793837 -0.76781815368
#> 128 0.24861632557 -0.96286281933 -0.61950631753
#> 129 0.86921755675 -0.12517006458 0.12007838453
#> 130 0.73143622720 0.31156419373 0.06711812237
#> 131 -0.48607424554 0.35375814006 1.37049510129
#> 132 -0.10377651000 -0.38434958212 -0.35284443259
#> 133 -3.00842672690 0.29701278029 0.89341933471
#> 134 1.06645174511 0.23896414284 -0.70704819541
#> 135 0.38093494450 0.36745592272 -0.62540605614
#> 136 -0.42998806023 -0.80086061947 -0.08369177745
#> 137 1.68704364819 0.14298063357 -0.90492417982
#> 138 0.95181965532 0.37930959742 0.32522258618
#> 139 1.14718215567 -0.08575327359 0.27638271451
#> 140 -1.13734015743 -0.06969567942 2.03033576330
#> 141 1.32411489490 0.22459088992 0.07181383786
#> 142 0.72887697130 0.58342939914 -0.28939561719
#> 143 -0.13674763662 0.36761303796 -0.16254741337
#> 144 -0.00679178388 -0.85302198676 -0.35319292982
#> 145 0.20698038797 -0.81428265114 -0.37917789638
#> 146 -0.61234731935 -0.81525637666 -1.25090675499
#> 147 1.41523002054 0.27183580142 -0.27717390819
#> 148 0.43366368828 -0.60695433264 -0.37010481363
#> 149 -0.16406154244 0.75101548771 0.36274850132
#> 150 0.19289365463 -0.85848830044 0.23593440363
#> 151 0.96360058021 0.76245426064 -0.27006950835
#> 152 -0.91607728606 -0.31206439147 0.82989921481
#> 153 1.01498469492 -0.23920607736 -0.45364330780
#> 154 1.66198699107 0.20755660591 -0.25424868922
#> 155 0.28176634601 -0.00176928339 0.12702933410
#> 156 -1.54851561192 -2.43959900245 -1.22374962210
#> 157 0.47164762472 1.47088122360 -0.81652031783
#> 158 -0.12642046471 -0.30827262107 0.58133133057
#> 159 -1.19779279197 -0.10263420465 -1.71779997880
#> 160 -0.45862646209 -1.24869297871 -0.67173221761
#> 161 1.53564703085 0.22961024835 -0.12966296155
#> 162 1.05348334272 -0.00924791372 0.50804963636
#> 163 -0.81206548175 -0.29736702833 -0.16989913799
#> 164 0.74139909392 -0.04314774445 -0.18070521942
#> 165 0.61649430568 -0.18904062536 0.33650089645
#> 166 1.52466329138 0.10225057584 -0.02403289734
#> 167 -3.84980836277 0.99010872458 -1.15271752855
#> 168 -0.67627721768 -1.17363900351 0.54799206455
#> 169 0.50131112280 -0.54262474532 -0.36375592138
#> 170 0.08107115993 -0.11812676383 -0.13432293894
#> 171 0.27393170617 -0.56622243609 0.18081494482
#> 172 -0.88970129982 -1.46429731718 -1.28990498325
#> 173 -0.90830161912 2.52143680149 -0.35257510644
#> 174 -0.75670954116 1.32479408118 0.93510567949
#> 175 0.79611365474 0.07731985122 0.11462898553
#> 176 0.66503170047 -0.31364443984 -0.10276452993
#> 177 -0.36216385158 -0.34451681997 1.62317100540
#> 178 1.29909306607 0.02971983250 0.27770381704
#> 179 -1.00700439121 0.21406354800 0.91295935906
#> 180 1.05880214849 -0.30394046727 -0.44271099743
#> 181 1.41438200895 0.03374017145 0.15210555168
#> 182 0.34711864840 -0.26885123436 -0.12163540920
#> 183 -1.02511290665 -0.55395663936 2.63934936540
#> 184 0.29638484158 0.09474525227 -1.35749038903
#> 185 -0.95997724039 1.21831118095 0.60132677358
#> 186 -1.26514807548 3.12419404255 -0.38989585635
#> 187 -2.18814676970 -1.18544120640 -1.29161648754
#> 188 0.58445162458 0.93359533225 -0.66858571332
#> 189 -0.33234509579 3.13772265824 -1.39192581265
#> 190 -0.82703687144 -0.27713441170 -0.17569716685
#> 191 -1.54024786463 -1.93726081537 -1.87289635422
#> 192 -0.70647628152 -0.70630282569 1.10994500337
#> 193 0.67147344908 -0.04958266217 0.34844987067
#> 194 1.37754966809 0.08457635994 -0.29609485647
#> 195 -0.03465895461 -0.60480782627 1.65188337205
#> 196 -1.73664953934 0.46400545811 0.63941928092
#> 197 0.45258107010 -0.00133678424 0.90796747052
#> 198 -0.92272162897 -0.28441642305 -1.33843430062
#> 199 0.38862851123 -0.48731005833 -0.87008281369
#> 200 0.85674952691 -0.13935802878 0.53284108251
#> 201 -0.71498043437 -0.65796399335 1.10966657628
#> 202 -0.03378885002 -0.25456153853 1.53817008472
#> 203 -1.39146159998 -1.56905484802 -1.21405677143
#> 204 0.84453834140 0.16947391336 -0.03751750949
#> 205 -0.36965896824 -0.39375447740 1.88551056762
#> 206 -1.01892929180 1.07520733910 0.45154274109
#> 207 -0.77676581417 -0.87375949558 0.27454521771
#> 208 1.30551213095 -0.07533791177 0.03479672335
#> 209 0.64153030814 0.38260958282 0.30015591613
#> 210 -1.42351993346 -1.41173930944 -2.71290322972
#> 211 1.63599689937 0.13128580866 -0.29698630591
#> 212 1.10772114277 -0.21303012658 0.06408840011
#> 213 -0.76818178255 1.02330597016 0.84367342682
#> 214 -0.97500653970 0.15840666868 -0.38103144250
#> 215 1.44451162037 0.04871959701 0.18011013051
#> 216 0.75739784662 -0.52449947156 -0.59200461150
#> 217 1.43231619514 0.32246787283 -0.18340267936
#> 218 1.30400937556 0.00408513945 -0.16020944711
#> 219 1.12736293227 0.06622166219 -0.49753711782
#> 220 -0.31673733239 1.01605566522 0.60349604594
#> 221 1.13522503310 -0.06151608078 -0.16012581328
#> 222 -1.50997601112 3.64141529759 -0.71270709940
#> 223 -1.73130249349 0.00883816783 2.39087487298
#> 224 1.23011562885 0.08951894570 0.24118895456
#> 225 -1.70778175325 1.36864844258 0.27940096628
#> 226 -2.95315252022 0.12940425081 0.60024052399
#> 227 -0.31109575563 0.08703970814 -0.96730808146
#> 228 -2.88723253510 1.35981099843 1.22990484920
#> 229 0.32237434803 -0.20352977362 0.96375069856
#> 230 -2.55758115450 -1.65105525044 -0.63207188741
#> 231 -0.13934980458 -0.69522919533 1.47779042542
#> 232 0.71951408792 -0.03090629097 0.82582193259
#> 233 -1.15072789365 2.10751085583 -0.38130361631
#> 234 -0.90502518409 -1.28508641348 1.35613274443
#> 235 -0.11891459597 0.13259914096 0.06957014278
#> 236 0.56143139645 -0.46538275783 0.64003811658
#> 237 0.46444120795 -0.36151949597 1.24586601350
#> 238 1.02558119740 -0.08293472586 0.46457153115
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#> 1431 -2.37842011448 0.99814257587 0.93671727423
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#> 1727 1.75832318546 0.17991565452 -0.18686204429
#> 1728 -1.19275020220 -2.18397974043 -0.80444905404
#> 1729 0.95420602147 -0.57330452415 -0.88633781604
#> 1730 0.69132423735 -0.77035443988 -1.08460938274
#> 1731 -0.50187024298 0.05226462361 1.91272218458
#> 1732 -0.17691686019 -0.57699849795 0.25023642726
#> 1733 -1.01805315787 -1.19754305567 -0.59534606494
#> 1734 -2.00292596210 1.86291205294 0.62053707506
#> 1735 1.08905695744 -0.31745768217 -0.92274474660
#> 1736 -0.05359139328 1.44762954722 -0.43198024550
#> 1737 -0.29052716432 0.58571514445 0.28069168115
#> 1738 0.66882550091 0.24139310389 0.43171900554
#> 1739 -1.20334150466 -1.24779816513 0.11320714598
#> 1740 0.99311194834 -0.10987105633 -0.22014428246
#> 1741 1.72914544407 0.16725256879 -0.49609598346
#> 1742 0.43159776389 1.31936097477 -0.30650710749
#> 1743 -1.55320601657 0.88643435801 0.24789010912
#> 1744 -0.74942732240 -0.15737006209 1.44011397833
#> 1745 -0.18761983187 -0.23710203946 1.85698859518
#> 1746 0.84314839566 0.50999096675 0.06126808956
#> 1747 1.28085525209 0.37624259642 -0.06919909998
#> 1748 0.82168174487 -0.73041708787 -0.97074099522
#> 1749 -2.83834045027 1.90337956385 -0.52646267229
#> 1750 1.01135761152 0.97766293566 -0.53823936873
#> 1751 0.29157197838 0.01786473576 -0.08106975569
#> 1752 -0.34110287116 -0.79994689338 1.78875090438
#> 1753 0.01360230449 -0.77164387647 -0.53046621924
#> 1754 -1.00017468191 -1.08532685801 -1.19979298018
#> 1755 1.73296704185 0.22912698028 -0.40942211929
#> 1756 1.17142913808 0.00306514686 -0.26440508020
#> 1757 0.78483610126 0.03005012424 -0.77656740961
#> 1758 0.52162545577 -0.22019249109 0.61522826452
#> 1759 -1.13548526954 -1.29191626199 2.10755500558
#> 1760 0.44682476134 -0.35111625171 0.60119710124
#> 1761 -2.34881851146 2.70082164363 0.80794544558
#> 1762 -2.54168854106 -2.75771566633 -1.00973606463
#> 1763 0.97816601147 0.32752563013 0.11355689174
#> 1764 0.99052849080 0.13375548616 0.50065847624
#> 1765 0.37165487380 0.05843109815 0.64495621397
#> 1766 0.31203218317 1.15238464361 -0.01493219209
#> 1767 0.82143720746 0.20902095570 -0.26114501455
#> 1768 -1.28899151815 -1.07391132168 1.76854679670
#> 1769 1.23943104271 -0.03165268101 0.43007251102
#> 1770 0.15427808335 -0.05784017645 -0.42798818273
#> 1771 -0.96433137837 -0.47228647588 -1.05742861205
#> 1772 -2.10031353375 -1.56838657559 0.98772322543
#> 1773 0.94599867819 0.47327750420 0.06556740769
#> 1774 -2.62833561845 -1.67318466705 -0.91113282985
#> 1775 -3.04975462838 1.86073156249 -0.20486786392
#> 1776 -0.71731002196 -1.39500182647 -0.63470772403
#> 1777 0.08732986915 -0.43548292623 1.79714345830
#> 1778 -1.80495707511 0.08013628896 0.84854548632
#> 1779 0.43861810639 0.70773612791 0.23650456673
#> 1780 0.53788790980 0.52771344085 0.47861963564
#> 1781 0.95907435665 -0.16446511856 0.60566391022
#> 1782 0.19679999749 -0.33566462497 1.20936524579
#> 1783 1.17080913859 0.00538709924 0.38716087087
#> 1784 -0.83497270988 1.41670434568 -0.11935450226
#> 1785 0.73022376042 -0.36212073173 0.58547572221
#> 1786 0.16829202131 0.03006457434 0.41173988115
#> 1787 -1.12606985718 -1.45153755436 0.34022516193
#> 1788 -0.80161030520 1.05759319723 0.66995576382
#> 1789 0.14214716624 0.63535461548 0.41719263463
#> 1790 1.02752567075 -0.24655411397 0.20098159236
#> 1791 -1.54899397685 -2.37509271154 -1.85657535121
#> 1792 -0.75423233144 -1.24148029419 0.68412806867
#> 1793 -0.26747936763 0.34600450568 -0.27133315479
#> 1794 -0.28440632264 -0.54232492878 1.04858425622
#> 1795 1.11174152977 -0.03005408659 0.54760112575
#> 1796 -0.36449035163 -0.58086049227 -1.41488041138
#> 1797 0.26126444999 0.15801748983 0.37053423036
#> 1798 1.13437420688 0.48379031308 -0.21797590369
#> 1799 -0.28423807323 -0.88745801041 1.15627489708
#> 1800 0.21871581900 -0.08126678172 0.91837887995
#> 1801 1.55580587717 0.20459509148 -0.12120251935
#> 1802 1.63688203063 0.20806563170 -0.27377288537
#> 1803 -0.49252509681 -1.96444957569 -2.42809590486
#> 1804 0.99462403950 1.01024881478 -0.97604226122
#> 1805 -0.21960901996 -0.74044275086 0.82177980798
#> 1806 0.63745329504 -0.14986143648 0.57503255868
#> 1807 1.07509957040 0.48111338858 0.01744307644
#> 1808 1.25628140622 -0.10683356663 -0.01302070472
#> 1809 -1.37946937909 0.79370367135 -2.31417365360
#> 1810 1.39287353704 -0.09208461578 -0.33590158616
#> 1811 0.97010548173 0.02651475707 0.01895272959
#> 1812 0.08713951074 0.33972570566 0.07025332676
#> 1813 0.48406060941 -0.00388421819 0.06339486234
#> 1814 0.96864393170 0.64208470965 -0.44493969871
#> 1815 -0.89755683266 -0.67902009259 1.17103057098
#> 1816 1.02466278998 1.06302267780 -1.00255473753
#> 1817 -1.08377942486 3.62453725970 -1.25216302070
#> 1818 -0.99630542209 -0.42773296209 -0.78676267918
#> 1819 -0.03441944702 0.54427828409 -1.32364101930
#> 1820 -1.29350127352 -0.09253096803 2.33550966411
#> 1821 -3.14391148334 1.44341981262 0.90168871713
#> 1822 1.21646411553 0.32551445312 0.01705456515
#> 1823 0.32827674672 0.01939525881 -0.92035153573
#> 1824 0.39507208161 -0.71435083691 -0.93162515730
#> 1825 -0.44072432399 -0.68249650391 -0.49163582755
#> 1826 1.13250276807 -0.07593430023 0.55041383892
#> 1827 1.36653815825 -0.17758654949 -0.66427199475
#> 1828 1.70663504511 0.06022349883 -1.13096793330
#> 1829 -0.09509997584 -0.14183724845 -0.41634354486
#> 1830 -0.74979290076 -1.17550879093 -0.15008908378
#> 1831 1.14147404770 0.90187359614 -0.52403402687
#> 1832 -1.25165661265 -0.36357098519 2.51243566626
#> 1833 1.48179801546 0.05546887650 -0.07134549297
#> 1834 -0.26157219356 -1.03436253482 0.70373240123
#> 1835 0.82305685335 0.53714305360 0.05348715909
#> 1836 0.31783443052 -0.52430986265 1.08323067604
#> 1837 0.21585615983 -0.18571073419 0.38572586051
#> 1838 -1.07261034321 -0.06099227768 2.23520650285
#> 1839 0.44130831356 -0.17207737102 1.28330195788
#> 1840 -0.87360623639 0.49437535311 0.88258961528
#> 1841 1.52637110121 0.22983887092 -0.57111216996
#> 1842 0.97790854340 -0.19471440649 0.32889641106
#> 1843 1.06650495632 -0.13539727927 0.04700679035
#> 1844 1.57578300368 0.35349327282 -0.93036946725
#> 1845 1.93438360981 0.33539299702 -0.65466107684
#> 1846 0.88683410729 -0.28085356604 0.29779213265
#> 1847 -0.58187368852 -1.48470283235 -1.42337706392
#> 1848 -1.52925046835 -1.69464107232 -0.49037548419
#> 1849 -0.15285971416 -0.22249828604 -0.12488508887
#> 1850 0.17291562776 -0.68773731061 0.70460766902
#> 1851 -0.44179292989 2.31534680622 -0.48168979666
#> 1852 0.70600121594 -0.29501471057 -0.71656539348
#> 1853 -0.57912510188 0.34021278949 1.43685935348
#> 1854 1.46757033322 0.19074891279 0.02271418167
#> 1855 -1.60626830365 -2.14471750516 -0.46561587145
#> 1856 1.20930732261 0.02958451804 -0.22694362826
#> 1857 1.58772401840 0.15399043917 -0.39368708005
#> 1858 0.61381655428 0.11659352261 0.85178538692
#> 1859 0.50655754895 0.11614718594 -0.59599207713
#> 1860 1.75130633299 0.09740439598 -0.43368522857
#> 1861 0.73985834869 0.10772633577 0.51371004245
#> 1862 1.71557246530 0.13514019169 -0.23349643223
#> 1863 0.34316159987 -0.30838961470 0.24515909866
#> 1864 0.76869962315 -0.82067842546 -1.32138906602
#> 1865 1.24340695609 -0.08799312789 -0.30023848160
#> 1866 -0.68468905977 1.29360968230 -0.10321994402
#> 1867 0.20219190015 0.43136555872 -0.52960948288
#> 1868 -0.75997900407 -1.62990869511 -0.95416784925
#> 1869 0.55714968477 -0.40846233749 -0.21511665849
#> 1870 0.91638843502 0.52452784454 -0.74556802679
#> 1871 1.04183907439 0.24757651056 -0.07711867605
#> 1872 0.67089630175 -0.23515888851 0.57622212373
#> 1873 -1.47758468971 0.65655763699 -0.84589085822
#> 1874 -0.43541970730 2.46066045366 -0.36854333589
#> 1875 1.98092613619 0.33155390531 -0.68484514926
#> 1876 0.20270938817 -0.03237062410 0.70305326483
#> 1877 0.64326764193 -0.17495833434 0.78935155530
#> 1878 -0.26075288837 -0.67772679481 0.73641567082
#> 1879 -0.10156589507 0.72123457440 0.62011194516
#> 1880 -1.43847789631 -2.14948250542 -2.28963688757
#> 1881 0.85991626855 0.91525135103 -1.39212373619
#> 1882 1.05157469610 0.08659292007 -0.39936108630
#> 1883 -1.09905600384 -0.13634395604 0.09997508301
#> 1884 -2.54875351036 1.36534930157 0.91093855942
#> 1885 -1.88260348104 1.45855456886 -0.91606268117
#> 1886 0.38929690856 -0.49506371256 0.71356303925
#> 1887 0.14199958508 -0.46597450046 1.39679489703
#> 1888 -0.01557547271 0.21636816092 0.38782674891
#> 1889 1.11196900359 0.34217191010 0.00558378111
#> 1890 1.33131625498 0.52579766157 -0.20291392363
#> 1891 -0.98663299938 -0.55745886190 0.93279407137
#> 1892 0.75601162964 -0.41219701706 -0.92886831499
#> 1893 0.32873737015 -0.50233785273 0.66397204357
#> 1894 1.81351839061 0.34915681747 -0.52821650337
#> 1895 -0.65594513151 0.84853884919 1.15703705726
#> 1896 -3.49594980553 1.27801633042 -0.07407020514
#> 1897 0.29404125084 -0.67823745537 0.58519047753
#> 1898 0.54417360632 0.15946893241 0.80978521638
#> 1899 0.91775054147 0.26866667427 0.41766488367
#> 1900 1.51758061020 0.05632751057 0.02247845889
#> 1901 -0.12709744645 -0.76982784854 -1.94293444580
#> 1902 -2.54787405025 -1.99727686696 0.79853181252
#> 1903 0.58001104496 0.52007498833 -0.20751283397
#> 1904 -2.07906542166 3.08969770619 -1.03783985007
#> 1905 -0.99583232585 0.92222983490 -0.82469036399
#> 1906 0.79349339005 0.16446031698 0.57238140044
#> 1907 0.41062359419 0.31475303012 -0.33494381136
#> 1908 0.41665499306 -0.92562122403 -0.75955445790
#> 1909 -1.74299440737 -2.58646555818 -1.34431746786
#> 1910 0.40332097643 -0.30634624720 0.12853370463
#> 1911 -0.63066611644 0.05105704735 -1.22829314351
#> 1912 -0.58159112021 0.27468336418 1.48123794304
#> 1913 -0.21907186563 -1.41658687874 -1.40174355636
#> 1914 -0.43957493976 1.60466788143 -0.40574157276
#> 1915 0.68216478044 -0.18036966091 0.83154458023
#> 1916 0.70744984834 -0.13501562978 -0.08266220366
#> 1917 0.60829556930 -0.16297346841 -0.75440424286
#> 1918 0.83914813145 0.47025547447 -0.17064486597
#> 1919 0.05040324877 2.11930238776 -0.52219699937
#> 1920 -0.99044070102 -0.79558413507 -0.30421912804
#> 1921 -2.24499372359 -1.13309756445 0.64477052334
#> 1922 1.24444199671 0.49228872881 -0.06369760525
#> 1923 0.31912058070 -0.51685284888 0.66756642823
#> 1924 1.20878052507 0.28126132685 -0.43619345792
#> 1925 1.29966327553 0.05616033750 -0.36546502372
#> 1926 1.20619759136 -0.00158505470 -0.95542457984
#> 1927 1.01095639406 -0.29295249300 -0.54251358978
#> 1928 -0.27258782019 -1.43192293256 -0.93484152888
#> 1929 0.05153674225 -0.85788649264 0.55958379595
#> 1930 -0.48239795063 -1.09052165597 0.73577431162
#> 1931 0.72674493708 -0.46201457316 -0.31504403507
#> 1932 -0.65181180820 -1.31597576529 -0.34307785790
#> 1933 -1.57273247048 -0.64599788067 -1.58073370803
#> 1934 -0.24381832291 2.01012856546 -0.35053752626
#> 1935 -0.75429749161 -1.62867525398 -0.94935376107
#> 1936 -1.50737504709 -1.21825914961 1.40348038751
#> 1937 0.24307656105 0.35940186400 0.85636422013
#> 1938 -0.86332741055 -0.56730089105 1.16509098498
#> 1939 0.46147452915 -0.74441189631 -0.23703513387
#> 1940 -2.47792314413 2.17165324973 -0.96829942973
#> 1941 -2.62603010568 2.32529622226 -1.75620126116
#> 1942 0.71214380072 0.09654819866 0.64030545951
#> 1943 1.03324880507 0.50027370332 -0.66110425426
#> 1944 -1.64866967692 2.48081084421 0.42359258482
#> 1945 0.37396821981 0.21629638936 0.91019509519
#> 1946 -2.65394846460 1.57381817461 1.10677079702
#> 1947 0.34430880936 -0.52232111480 0.23606625307
#> 1948 -0.44222882003 -0.77239612887 2.15183150213
#> 1949 0.64421843690 0.22717080075 -0.67735372532
#> 1950 -0.95471405099 -0.71030708967 2.78852039545
#> 1951 0.04994845739 -0.67703271772 -0.03998660208
#> 1952 0.06835078432 0.11408807358 0.42359643316
#> 1953 0.00526897856 -1.19484209022 -0.66112212774
#> 1954 1.48263146216 -0.09589101274 -0.48380283510
#> 1955 -0.20378762851 0.26835310595 -1.26428343567
#> 1956 -0.38709120861 -0.93852180285 -0.02492108180
#> 1957 0.16601706124 -0.78672300800 0.17039048608
#> 1958 1.57096610516 0.16957234674 -0.55384168769
#> 1959 -3.02559324645 -1.86013199579 -0.84302877171
#> 1960 -0.18768671413 1.03489650642 0.49302901818
#> 1961 0.54363296783 -0.55776350044 0.38187119937
#> 1962 -0.65675442205 -0.69731833452 -0.14856344683
#> 1963 0.80413862199 0.91519194213 -0.50182583769
#> 1964 0.31872381600 -0.44530790296 1.10709919077
#> 1965 1.04090323656 -0.17832906417 0.01435196886
#> 1966 0.24280499911 -0.42417636926 1.42251947655
#> 1967 -0.52710412160 2.07215073581 -0.55434304545
#> 1968 -1.39651287538 0.17128144038 1.02942018962
#> 1969 -0.81753042588 -1.46747296134 -0.95162504213
#> 1970 0.19881732267 -0.10397287690 0.67900206037
#> 1971 0.28137968952 1.39276972180 -0.55428692075
#> 1972 -3.25300584689 2.17612555385 1.47679785078
#> 1973 0.43118767287 0.13896894803 0.93235469743
#> 1974 -2.83170585222 -0.62329573771 -1.40664721683
#> 1975 -1.70824816781 0.17978083552 1.23098860925
#> 1976 1.40345397293 0.03939456683 0.07966916182
#> 1977 -2.07925071636 0.94166875319 1.74043700680
#> 1978 0.67981404328 -0.32518649757 0.55680510022
#> 1979 -1.20814063756 1.01473738794 -1.18105651960
#> 1980 -0.90035434799 -1.04400826228 0.62753882162
#> 1981 1.19268758808 -0.05506075232 -0.76457270492
#> 1982 0.50553821638 -0.53062157218 -1.22541715759
#> 1983 -0.37559416101 -1.20533376744 -0.74553907267
#> 1984 0.61375403058 0.24171368027 0.17153269722
#> 1985 0.73425873790 -0.76397065171 -1.11462247757
#> 1986 0.06381493826 -0.67380303523 -0.96219832156
#> 1987 1.53923706619 0.03926027219 -0.39980353009
#> 1988 1.63324447713 0.21551177736 -0.47565283168
#> 1989 1.31792276440 -0.10890790208 -0.45676608398
#> 1990 -0.30586663435 2.09010985130 -0.15857928795
#> 1991 -0.91660630518 -1.89171904573 -1.58794585564
#> 1992 -1.24468434912 -0.21700621304 -0.76800536988
#> 1993 1.87269114789 0.15779534992 -0.53797276917
#> 1994 -0.79421049470 -0.94498261916 2.25962813194
#> 1995 1.14832053515 -0.00161897451 -0.28388799937
#> 1996 0.97875344612 -0.24338889828 0.17045862669
#> 1997 1.17556120939 0.23230927312 0.24031829609
#> 1998 1.68417465798 0.26668721242 -0.21951811887
#> 1999 -0.09767909952 0.35745467073 0.79911461081
#> 2000 1.02767064234 -0.08024239644 0.03275140907
#> 2001 -1.93254279025 1.34947988774 -0.13068778335
#> 2002 0.31016864493 0.63978495834 0.48463096270
#> 2003 1.39562859070 0.09250218064 0.15464454132
#> 2004 0.89365886188 0.29081774233 0.25368992959
#> 2005 0.60107204211 0.90202023117 -0.73035330541
#> 2006 -3.22593654220 -0.69521284748 -2.00993180082
#> 2007 -0.19367136787 0.97837558897 0.47176136536
#> 2008 -2.11357831171 -0.02543623216 1.28845277670
#> 2009 1.66100576355 0.27571923175 -0.23502529395
#> 2010 0.59510710962 -0.46324928523 0.16727555882
#> 2011 -0.34658371204 -0.76039664763 0.49331451519
#> 2012 0.41597980519 -0.81862809890 -0.22892383920
#> 2013 -0.24575920422 -0.56230318246 -0.95496912627
#> 2014 -1.18116807773 -0.72480999029 -0.79356547950
#> 2015 1.29357412189 -0.04381187515 -0.03084288973
#> 2016 0.58182114928 -0.51664711404 0.42385693536
#> 2017 1.53519252533 0.18953872309 -0.35889584391
#> 2018 -0.70763936443 1.56660685679 0.45864434760
#> 2019 0.80855169696 -0.02462528196 0.74584597045
#> 2020 0.77304758749 -0.32090640258 0.19687572297
#> 2021 1.01687294383 -0.08840550927 0.67326630327
#> 2022 0.86856015776 -0.21711613490 0.73641335082
#> 2023 0.90948655769 0.07366812102 0.41952615616
#> 2024 0.97310873609 -0.28440834284 0.14723500058
#> 2025 -2.62937980608 1.74305812907 -0.33612756713
#> 2026 0.37067169669 -0.32984619556 -0.18659919389
#> 2027 -1.15416946717 -1.71654459131 -1.28848570260
#> 2028 -0.01747619115 -0.09316961036 0.23001766116
#> 2029 -1.34585953821 2.27527809511 -0.70213535525
#> 2030 -0.56343819243 -0.86526915301 -0.20716118162
#> 2031 1.31476275786 -0.01819111332 0.27593092047
#> 2032 0.06832005608 1.00236492173 -0.40151093619
#> 2033 1.18516611780 0.04380250102 -0.45881528529
#> 2034 -0.80677189253 0.52524834318 -0.19513700340
#> 2035 -2.29926730539 -2.15880179169 0.07280264758
#> 2036 0.40644193812 -0.32925783996 0.05872830474
#> 2037 1.11631195284 0.58445595936 -0.41972839399
#> 2038 -0.02343739830 -0.67036863137 -0.52978799219
#> 2039 1.35114518844 0.27727215336 -0.69451556129
#> 2040 1.66870666553 0.30541403441 -0.22028089594
#> 2041 -1.53098117344 -0.74794033461 2.17429836540
#> 2042 1.00436961500 -0.48127256746 -1.03715743114
#> 2043 -0.08709063389 -0.60613658134 0.45925652028
#> 2044 0.56664293220 -0.62121761314 -0.05295554384
#> 2045 0.94995623674 0.23865935293 0.06538552323
#> 2046 -1.97813064901 -0.30675312194 2.17041513276
#> 2047 0.96933555838 -0.31272748804 0.13597204768
#> 2048 0.53965602905 0.10637373718 -0.35266332136
#> 2049 -0.36769709864 0.14125296510 -0.99576277216
#> 2050 0.25277035928 -0.37023562775 -0.00818422038
#> 2051 -0.88096696039 -0.57578978769 0.13572124748
#> 2052 1.26304320447 -0.05746274790 0.22388240076
#> 2053 -0.51968240250 -0.51931924188 2.38716652493
#> 2054 1.95905114681 0.26164753145 -0.43983657628
#> 2055 0.32158142927 -0.76196731994 -0.13468779637
#> 2056 -0.88187723150 -0.80570525485 -0.15658086396
#> 2057 0.50885080243 -0.08464821941 0.71050410601
#> 2058 1.25032652630 1.51234459088 -1.06264183613
#> 2059 0.43970229477 0.66135625353 -0.86186714832
#> 2060 -0.83784269616 0.37152269903 -1.14506082662
#> 2061 1.57330446935 0.26560682970 -0.08959479865
#> 2062 -2.07564279783 1.51788470920 0.45793642954
#> 2063 0.61805053530 -0.68596098737 -0.74856131384
#> 2064 -1.32438025058 2.85785892912 -0.08018295917
#> 2065 -0.64618429527 -0.64937706011 2.02808376984
#> 2066 -0.04858196523 0.13451701182 0.55949599174
#> 2067 -0.20392880839 -1.16154415874 0.05320085306
#> 2068 -1.99182456509 0.40673298251 1.93470465719
#> 2069 1.41935945000 0.08744699589 -0.26248866520
#> 2070 0.72089755661 -0.06678493894 -0.41484223464
#> 2071 -0.45154367253 -0.73418717494 2.15573873896
#> 2072 -2.44865308008 1.69739760361 1.30389674124
#> 2073 -0.38335463726 -0.09388909394 -0.27403749931
#> 2074 -1.71007954718 1.85458876487 -1.32806949066
#> 2075 0.37348975548 -0.53735738805 -0.61397066678
#> 2076 0.61139251651 -0.38994732952 -0.81854953964
#> 2077 0.38406258801 -0.57710538909 0.68539805790
#> 2078 -2.32688407674 -0.53248908971 0.03410993174
#> 2079 0.09856366917 -0.15033043879 0.52677350460
#> 2080 -0.44406369841 -0.73357341741 0.35926060632
#> 2081 0.65321774212 -0.01318832161 0.56194196931
#> 2082 0.54103937447 0.03284313140 0.98731288330
#> 2083 0.22991487786 -1.00384210237 -0.42905747494
#> 2084 -0.24641429808 -1.32393865591 -1.39599640160
#> 2085 -1.67356288330 0.74306357904 2.21722617055
#> 2086 -2.16752663713 0.91283299056 0.43888996913
#> 2087 0.55535450330 -0.13306660436 0.29849825376
#> 2088 1.91239946561 0.21552707940 -0.48992244123
#> 2089 0.07543924580 -0.59059180252 0.22246625878
#> 2090 -1.09976753572 -2.10700798350 -1.57750150021
#> 2091 0.46584591400 0.65626274665 0.45986790199
#> 2092 -0.21569543089 0.25133665205 -0.18517428761
#> 2093 0.06450223779 -0.29449269758 1.11360878605
#> 2094 0.33865095806 -0.60351637161 -0.50908423825
#> 2095 1.10607141703 0.79997205187 -1.01591254839
#> 2096 1.70352362980 0.08380041687 -0.54065131582
#> 2097 -0.15645960755 0.19005364798 -0.37411343864
#> 2098 1.32777439741 0.62782495288 -0.45841922536
#> 2099 -1.50230250714 -2.62252316078 -1.67543420850
#> 2100 1.09157578598 -0.25524397462 -0.61986868818
#> 2101 0.88479772457 -0.11546589059 0.34470509920
#> 2102 1.09492802183 0.19201011973 0.16531024029
#> 2103 0.53376356932 0.06320322994 0.33914514574
#> 2104 0.21356701275 -0.63662939252 -0.39969480804
#> 2105 1.07061411375 0.31398382625 0.18203196312
#> 2106 1.22549357092 0.05507952889 0.01034208781
#> 2107 0.73864077041 -0.16195381808 -0.21771301122
#> 2108 0.08761188031 -1.33413141525 -1.94018973050
#> 2109 -0.78950796879 -0.61996651041 2.14151802173
#> 2110 -2.27503244030 2.72815463104 -1.58010586707
#> 2111 0.77882745612 0.23329362446 0.58107749263
#> 2112 1.33559268670 0.11996415153 0.05012102188
#> 2113 -2.07438950740 -0.08380020273 1.50900399110
#> 2114 -0.57087886785 -0.03764855103 0.96377738091
#> 2115 -0.83257429894 -1.85809809342 -2.15892425062
#> 2116 0.63904364735 0.43943936409 0.31487561652
#> 2117 0.12609261243 0.33619751741 0.04098199858
#> 2118 -0.18021812287 -0.68058966322 0.42997093457
#> 2119 0.99480723584 -0.05597937385 -0.42013274627
#> 2120 0.15950789188 0.78847979705 0.69283310008
#> 2121 -0.01407174684 1.31003875877 -1.09273731672
#> 2122 0.01898476474 -1.04968191835 -1.04204495979
#> 2123 0.14376880458 0.60197270063 0.40867239996
#> 2124 -0.10010095537 2.24249269821 -0.60400743234
#> 2125 -0.11085020910 -0.72234286818 -0.89618792369
#> 2126 -0.52509678201 0.23117033838 1.29562360199
#> 2127 1.47423076473 0.02605675480 -0.30302583618
#> 2128 1.69768648303 0.22149003439 -0.28771716087
#> 2129 0.00189234817 -0.28033620778 -0.02682439119
#> 2130 0.99377196782 -0.08954443289 0.22058199514
#> 2131 -0.01924325922 -0.47183055328 -0.53380044245
#> 2132 1.19047682154 -0.10983114543 -0.28259124147
#> 2133 0.99209344420 -0.14965684942 0.20163544088
#> 2134 1.26085539390 0.29691606370 0.10898486262
#> 2135 0.14785822102 -0.75772703920 0.16466493401
#> 2136 1.22780385052 -0.00983962449 0.21023511780
#> 2137 -0.61477675439 -0.34514099846 1.86578291393
#> 2138 1.50412633571 0.45431074261 -0.30558230546
#> 2139 -1.28595152908 -0.48019377994 0.64232693834
#> 2140 0.17122065839 -0.46477865408 1.63716832105
#> 2141 1.63473510764 0.04387558222 -0.32361283042
#> 2142 -0.31874116411 0.72743912058 -0.33713886833
#> 2143 -2.16689324204 -0.15166206176 0.11386779387
#> 2144 0.36807695808 -0.45630751703 1.14254854179
#> 2145 0.61541420333 -0.26346007665 -0.34405161254
#> 2146 0.66337812770 0.40655329123 0.32429972627
#> 2147 -1.10328157050 -1.20855478941 1.28874726441
#> 2148 1.08706417980 -0.26377955948 -0.40878413139
#> 2149 0.72279546911 -0.06972429869 0.44829183677
#> 2150 0.90411952210 0.55098502636 -0.37870648069
#> 2151 -0.49946263698 1.58205821445 -0.02505685879
#> 2152 0.59149802114 -0.71843807356 -1.21314201035
#> 2153 -4.09908676080 0.14151382300 -2.39992357278
#> 2154 1.02462493596 -0.09888169673 0.67626844770
#> 2155 -1.84841094326 -0.76212856511 1.70998386035
#> 2156 -0.04273135848 -0.99571657534 -0.42320978375
#> 2157 1.50012146314 0.08300787396 -0.48315622970
#> 2158 -0.99543736247 -1.56435052234 -2.27060533922
#> 2159 0.27367613799 0.49271752919 -0.45559613488
#> 2160 0.58297892562 0.49824105168 -0.21159102427
#> 2161 1.77606313737 0.29341983278 -0.35679256015
#> 2162 -0.65069231821 0.42530190430 0.38564578614
#> 2163 0.71894880070 0.64856435647 -0.92944229382
#> 2164 -1.53190063730 0.42416932079 0.49771822246
#> 2165 0.48247199656 -0.98434235315 -1.09391618527
#> 2166 0.62503011023 -0.31130338255 0.51794565218
#> 2167 0.99517230761 0.12185636013 0.06656036260
#> 2168 -1.09586486933 2.34348965180 -0.26909682564
#> 2169 0.54391733046 0.90526347938 -0.12282054634
#> 2170 -1.47162243958 -0.68970826991 -1.01062332436
#> 2171 0.97552540346 -0.23807697633 0.37984156362
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#> 2175 -1.48658134427 2.77077988817 0.20141480010
#> 2176 -0.78995630699 -1.68917520482 -1.64641340337
#> 2177 1.10438841036 -0.03852383688 0.32223105646
#> 2178 0.09091003432 -0.42939648003 0.06474549124
#> 2179 1.95142595044 0.30361923328 -1.08487239077
#> 2180 1.25264202689 0.16491219107 -0.21882341610
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#> 2182 -1.48932744143 2.16402344749 -0.19582453333
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#> 2191 0.12156716969 0.00265231361 0.64973853696
#> 2192 1.23154856996 0.15829098399 0.04535936290
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#> 2197 0.73232013800 -0.04902394578 0.68989877093
#> 2198 1.38104286881 0.04033744366 -0.08920924561
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#> 2200 1.32674241781 0.28691138340 -0.27656438156
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#> 2202 1.02917501835 -0.41094227678 -0.49731229047
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#> 2220 0.57720306530 -0.38808610115 0.89219254949
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#> 2223 1.31023660574 0.05297852162 -0.13604812165
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#> 2244 1.33094172863 -0.13112494662 -0.46141618568
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#> 2246 0.20058718658 0.08910544721 0.51989596179
#> 2247 0.57756447365 0.01796098878 0.57732359852
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#> 2261 -1.45526499074 2.30516006272 0.08938794629
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#> 2271 1.23596876571 0.31639478380 -0.18745904408
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#> 2285 0.43902839331 0.62789575604 0.43053222300
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#> 2287 0.98845711672 0.14042674509 0.28386835557
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#> 2299 1.92173959872 0.56042666292 -0.81568999221
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#> 2301 0.79222582727 -0.16355378603 0.47518040418
#> 2302 1.50943632025 0.12505647591 -0.02927645960
#> 2303 0.06355037719 0.17610801880 1.08939603676
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#> 2318 0.14979252637 -0.30012164958 1.60313954918
#> 2319 0.87795957377 0.03480716238 -0.04640678976
#> 2320 -1.01135681195 1.01110676567 -1.24503539646
#> 2321 1.44819021476 0.36785200177 -0.15765168635
#> 2322 0.26858738665 -0.44100403802 1.49774627469
#> 2323 -0.22169567984 -0.64166805536 1.49450086234
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#> 2325 -0.29280964697 1.08280659437 0.20757806374
#> 2326 0.55333905485 -0.60053415192 -0.70868536968
#> 2327 0.27735435062 -0.38330058099 0.87574339063
#> 2328 0.65653159865 -0.48882319122 -0.81217694290
#> 2329 1.37338768432 -0.08299034970 -0.13138069717
#> 2330 0.02518069065 -0.18904685125 1.10823736155
#> 2331 -2.14498940783 1.90122583570 0.67543447507
#> 2332 -0.53605075543 1.43030320672 -1.18385735759
#> 2333 -0.82043892161 1.89870656180 -1.48645733183
#> 2334 -0.24865101419 -0.25450669997 0.66228841166
#> 2335 0.48023328339 -0.73188876832 -0.21866176464
#> 2336 1.11622878969 0.12184174512 -0.04553731937
#> 2337 1.12440808068 0.18925805535 -0.09504959341
#> 2338 0.78105898934 0.46571846260 -0.50015181060
#> 2339 -0.53856727931 -0.74521541646 2.30143168492
#> 2340 1.41898229597 -0.08506548523 -0.53050632159
#> 2341 -2.25289011110 -1.50838660591 -1.28548109052
#> 2342 -3.71106691529 0.96620525739 0.11731813258
#> 2343 -0.48179369821 -1.22359153312 -1.33389565168
#> 2344 0.04339172010 -0.35179975711 1.72172481192
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#> 2346 0.65504631435 -0.55162705464 -0.89729256714
#> 2347 0.82956040672 0.54055373182 -0.37466315398
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#> 2349 1.09803508947 0.17307382802 -0.33758726267
#> 2350 0.95909062753 -0.35691466996 -0.75351101190
#> 2351 1.25668868793 0.58209303669 -0.24488416726
#> 2352 0.63979019044 -0.52819795037 -0.68525259475
#> 2353 0.21770321243 0.29575412310 0.37679610980
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#> 2356 0.98062749205 0.36371727850 -0.09102262631
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#> 2359 1.38501308607 0.44411680028 -0.25032278747
#> 2360 -1.39977900723 -0.90758732473 0.92754833788
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#> 2364 -0.09941855012 0.89535586843 0.45574149699
#> 2365 1.38503900543 0.26663712186 -0.01970319586
#> 2366 0.88371844951 0.28478423553 0.46125407210
#> 2367 0.62764163452 1.01102124190 -1.48052495618
#> 2368 -1.32736103969 2.18132175549 0.15329763759
#> 2369 0.04172289116 0.03353229437 -0.70651575788
#> 2370 -0.69520324385 1.02426666924 0.25186346112
#> 2371 1.43115337192 0.06173260598 -0.04366488885
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#> 2374 -1.32718035386 -1.77235960149 -1.44043637074
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#> 2377 0.24426928214 -0.68271957225 -0.82340057699
#> 2378 1.18479519995 0.31058979994 0.05339086721
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#> 2380 -1.28201000648 1.20447976056 0.77082019498
#> 2381 1.47498861987 0.13393809757 0.01186471130
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#> 2383 1.11639368618 -0.19346072315 0.06907187051
#> 2384 -1.25074231240 -1.93321531075 -2.94758040297
#> 2385 -0.65129041544 -0.44392065742 1.36744156575
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#> 2387 0.49067586413 1.45630553366 -0.80588394366
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#> 2389 0.73823893987 -0.16333496230 0.37704864860
#> 2390 1.64402621861 0.23182913045 -0.26120442809
#> 2391 0.41247048321 -0.33934318950 0.06049450449
#> 2392 -1.39699198153 -0.08389657066 1.10579264594
#> 2393 -1.49406962668 -1.30535648794 1.77348828788
#> 2394 0.81788398948 0.08482633044 0.14222705186
#> 2395 -3.31822383244 1.45598551880 -0.96821427923
#> 2396 -0.29080934815 -0.30823867953 1.32101235267
#> 2397 0.26327171634 -0.70746545240 0.55849073977
#> 2398 0.79532199955 0.20304397803 -0.71761044265
#> 2399 -1.39601562096 1.79945770852 0.78488468594
#> 2400 1.08387543870 1.10022168752 -0.44546388804
#> 2401 0.69838655561 -0.04681679222 0.00163546493
#> 2402 -1.67970997253 -0.32553915342 0.01040288872
#> 2403 1.45402337951 0.36809427677 -0.43566415185
#> 2404 1.62769608091 -0.05694576671 -0.79294739668
#> 2405 -2.74951571615 -0.12054934686 -2.35322209857
#> 2406 0.90195657779 -0.14980864197 0.35301954208
#> 2407 1.34729796649 0.08186655817 0.04811970518
#> 2408 0.17654257608 0.20297128958 0.96869783953
#> 2409 1.30851702551 0.54324165229 -0.21566415056
#> 2410 0.93329837005 -0.14865255636 0.80722603705
#> 2411 -1.00383837245 -0.51735145969 2.87214977974
#> 2412 -0.58299608635 1.50701824881 -0.39518198785
#> 2413 0.51995919969 -1.12384464517 -1.82235772196
#> 2414 0.37355912138 0.85961658252 -0.19688764879
#> 2415 -0.02123032427 0.95105155060 -0.76939213929
#> 2416 0.69125051657 0.41930892883 0.28929285751
#> 2417 0.57102398886 0.05147337916 -1.00336878769
#> 2418 1.04349923043 -0.10492160566 0.47216416479
#> 2419 0.69806100771 -0.09703440948 0.20377494084
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#> 2421 0.99381682036 -0.08350519638 0.00526488051
#> 2422 -3.54108582574 -0.46763474747 -2.20684277135
#> 2423 1.06392349632 0.10692072112 0.11605653767
#> 2424 -1.95319128375 0.10447558764 -0.79468772078
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#> 2428 -0.00746998077 0.61526572263 0.73559160391
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#> 2430 -1.77603605591 -2.12587906927 -1.02737612881
#> 2431 1.03087976251 0.23942796799 -0.07897732630
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#> 2433 0.54549988957 0.46258718050 -0.03429527178
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#> 2435 1.31776275870 -0.10381928952 -0.24661144579
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#> 2439 -1.57511781198 2.13545046708 -0.77121296281
#> 2440 1.19373931796 -0.01340147280 -0.03462783825
#> 2441 0.43334091726 -0.25992086789 1.03416991625
#> 2442 0.05629972456 1.01638153717 -0.40681954382
#> 2443 -1.44124677804 1.65889659210 0.34506918785
#> 2444 0.66570367795 -0.28935467101 0.99050429963
#> 2445 0.39431731628 -0.84176199393 -0.68693207851
#> 2446 1.57752267108 0.14851197852 -0.12063353095
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#> 2456 1.54856315470 0.09466101112 0.05800126946
#> 2457 -1.94166083370 2.65058049731 -0.19046301065
#> 2458 0.23242271877 0.04131678632 -0.40319817227
#> 2459 1.06338082974 -0.08946013976 0.49227927591
#> 2460 -1.95794589636 0.73279097665 0.31989886572
#> 2461 1.37707405332 0.08521911465 -0.29627904967
#> 2462 0.53207773661 -0.41796974137 0.19669434650
#> 2463 1.18125023744 -0.05328091516 0.37813550348
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#> 2465 1.53504180516 0.00594637983 -0.19573863280
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#> 2468 -0.48268814022 -0.36495261146 1.16940007651
#> 2469 0.02990905669 -0.76286954798 0.14694355499
#> 2470 0.63798411522 0.72545682246 0.18081163210
#> 2471 1.19982656319 -0.38004346537 -0.85429680298
#> 2472 1.27673347522 -0.01416703816 0.03018596672
#> 2473 -0.45382171565 -0.74118774148 1.71765307617
#> 2474 1.10574175035 0.19824469996 -0.04151055273
#> 2475 0.52798846940 -0.38944494063 -0.51504565193
#> 2476 1.42404435731 0.04906100271 -0.05295249122
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#> 2479 -2.46857411659 -1.36738682253 0.76485885204
#> 2480 -1.73279193647 0.65093315815 1.99219666754
#> 2481 -2.13011847358 -0.27999565127 -0.10243598419
#> 2482 -2.11134965346 1.10506114065 1.61707685122
#> 2483 1.37124830968 0.34319915961 -0.00805436019
#> 2484 1.14033955280 0.21975556108 0.20903480766
#> 2485 1.09298413244 0.40491626050 -0.27354525632
#> 2486 -1.22668591294 -1.97240923752 -2.94022432661
#> 2487 0.76326587342 0.91473099347 -0.53399095343
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#> 2489 0.60096702926 -0.02151693433 0.14983680867
#> 2490 0.29697027573 -0.23953765026 -0.36945998397
#> 2491 0.91696352557 -0.23187178459 0.55289316100
#> 2492 0.34695321029 -0.35671232746 -0.14102718948
#> 2493 0.69657794150 -0.19024545251 0.39239720735
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#> 2497 1.02379324129 0.06027747923 0.22252035147
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#> 2500 -0.25221829448 -0.46442071452 1.09770268268
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#> 2506 -3.48369389037 -0.43853081444 -1.43642944508
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#> 2510 -0.29589475788 -1.31632919322 -0.28139081564
#> 2511 0.05209110476 -1.21801644320 -0.63122709963
#> 2512 1.02293469793 0.24067115033 0.27475764195
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#> 2514 0.49850670064 0.14970385052 -0.74873091961
#> 2515 0.47608715708 -0.17075580956 0.22532604597
#> 2516 1.41482767663 0.20738945302 -0.44798404284
#> 2517 1.39028788919 0.08635238946 0.14865554706
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#> 2523 -2.59236634612 1.39143487224 1.04329622370
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#> 2525 1.40908364580 0.25563538270 -0.28674215188
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#> 2535 0.26069037180 0.19767149644 0.82769358249
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#> 2538 0.93088106775 0.22132184162 -0.23730256312
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#> 2540 -2.65285031078 -2.71024637034 -0.36602317737
#> 2541 1.18850982029 0.08172093109 0.42342098203
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#> 2547 0.50293919847 0.43729132558 -0.22665980816
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#> 2549 1.03470274707 -0.10030133741 0.24950235146
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#> 2561 0.60769112819 -0.07728227079 1.00724434992
#> 2562 0.13373657030 0.15162147098 1.14215619819
#> 2563 0.42199713168 0.23769296063 0.73698503452
#> 2564 0.47864285267 0.37432676957 -0.26416735477
#> 2565 0.56664783351 -0.32868003876 1.11846854093
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#> 2570 0.86926985004 0.23970165298 0.43670855379
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#> 2572 1.46156869082 0.17154120760 -0.20474628235
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#> 2578 0.98002794617 0.20062915987 0.22938932371
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#> 2580 1.53227364744 0.25624554699 -0.19002537851
#> 2581 0.29112725138 0.19376947844 0.62154598045
#> 2582 0.45745733741 0.54326872708 -0.22209851018
#> 2583 1.62765891137 0.13847954296 -0.14981791966
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#> 2588 0.35646781060 -0.04463881643 1.03707129825
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#> 2590 0.81485213073 -0.61753705539 -0.50873773188
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#> 2594 0.30021344905 0.01732591977 -0.07445590623
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#> 2597 -1.33011258297 -0.20457548496 2.27395617738
#> 2598 0.92060784742 -0.12222167700 -0.71483176503
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#> 2600 -0.04213988019 -1.30184361702 -1.38102876131
#> 2601 0.72044309288 -0.33893113804 0.15036550834
#> 2602 -2.83069046996 -0.78041891713 0.92913186862
#> 2603 0.80945985685 -0.39743306307 -0.01415893892
#> 2604 0.61671553098 -0.27035386932 -0.84483207652
#> 2605 0.86749497094 0.41529155037 0.26969520230
#> 2606 1.27805921856 -0.12735296687 -0.00197293929
#> 2607 1.38209967591 0.30625556103 -0.01038637535
#> 2608 -0.35611356348 -0.64036462435 2.25804099564
#> 2609 -0.56876447566 0.78455966380 -0.31327430867
#> 2610 -0.99923470552 -1.31059915243 -1.31814568208
#> 2611 -0.05142886539 -0.48862551459 -0.98724803577
#> 2612 -0.44692243328 3.67542034882 -1.60666040180
#> 2613 -1.33192850161 0.34922666805 2.00071803584
#> 2614 0.84202908949 -0.02530953997 0.77187982443
#> 2615 -0.46591642153 -1.55791760583 -1.78822851520
#> 2616 0.45969118790 -0.06054282678 0.67905038299
#> 2617 0.70639918703 -0.03228060882 -0.48760020163
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#> 2638 1.30306875294 0.34622285503 -0.06059639029
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#> 2659 0.41529599218 0.02601362575 -0.25395255622
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#> 2664 0.19463757856 0.70090293409 0.69467587231
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#> 2666 -1.03476775359 -0.65366264181 1.66433492459
#> 2667 1.44108041260 0.42870169705 -0.14537585471
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#> 2670 -0.05630785452 0.74012856012 0.00974929042
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#> 2678 0.47362828425 -0.29313927693 -0.24674352790
#> 2679 0.40045231245 1.35137236488 -0.75577236484
#> 2680 1.63006088149 0.29971563827 -0.25223701301
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#> 2684 1.22570613806 0.18846541482 0.04963120773
#> 2685 1.49847668686 0.37040004885 -0.40015203915
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#> 2701 0.07594574582 0.35186995207 -0.86898217482
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#> 2705 0.77406110978 -0.14183923229 -0.02673939965
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#> 2707 0.66712371685 0.23546026313 -0.15719440537
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#> 2710 1.26641256908 0.04954483580 -1.32748774033
#> 2711 -3.49355041284 -1.86818943225 -0.77785936270
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#> 2741 0.69419167699 0.52317118402 -0.05159599772
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#> 2747 0.70083173953 -0.21789158094 0.53921449091
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#> 2756 -1.93820087528 1.40310191331 0.53665614455
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#> 2763 0.72247222415 0.06942527211 0.70597516868
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#> 2770 0.20734201963 1.04008831559 -0.06437841946
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#> 2775 1.39949824046 0.38909753074 -0.18957775115
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#> 2790 0.77575408191 0.48630053368 0.22357042106
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#> 2799 1.06196230013 -0.35664083832 -0.23856815434
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#> 2804 0.42542872100 -0.50680508140 0.45577925627
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#> 2813 -2.95129097329 1.54833683449 -0.06097179593
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#> 2831 1.00358127712 -0.28103178820 0.17210515392
#> 2832 0.76199544598 -0.10440032895 -0.18253048885
#> 2833 0.31271037663 0.20269848710 0.64107849959
#> 2834 0.62647202283 0.06044901198 0.41098827755
#> 2835 1.22550186131 -0.16772026349 -0.05499936522
#> 2836 0.89328084027 0.10891601752 -0.51686058010
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#> 2838 1.28737970755 0.02104274000 0.26597962569
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#> 2843 0.79169340243 0.93588261029 -0.72263347823
#> 2844 0.91866296654 -0.11996245421 0.80417191342
#> 2845 0.03931378832 -0.71989471260 1.02472593251
#> 2846 1.55305315795 0.06107228558 -0.23098651365
#> 2847 1.24708532541 0.57947599959 -0.25317742562
#> 2848 1.64469268038 0.11953416722 -0.29361865666
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#> 2850 0.58075998689 0.01614445053 -0.13760690344
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#> 2854 -0.83157577603 -1.61650570733 -0.34298015549
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#> 2860 0.10488183334 0.98180982673 -1.24738255932
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#> 2863 0.26859726623 0.04175306859 0.55930342509
#> 2864 1.00595017318 -0.10600228787 0.22529829655
#> 2865 -4.15146626064 -0.00133747466 -1.67990625494
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#> 2867 1.08094014284 0.36686561358 0.20563436406
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#> 2870 -1.85826845803 2.62727196562 -0.84885094000
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#> 2880 1.48152272508 0.26409456918 -0.44461777143
#> 2881 -2.63521694201 2.15829468550 -0.87054347347
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#> 2887 -1.39441146251 0.35915934335 -0.49922403711
#> 2888 1.18222317954 -0.22121074266 -0.32172722684
#> 2889 1.45519711066 0.02458126125 -0.10125072892
#> 2890 0.44013022509 -0.04600895062 -0.68777344846
#> 2891 1.24796233179 0.11886983811 0.26378323656
#> 2892 1.50644258566 0.04464501506 0.01032363275
#> 2893 -1.71758814518 1.85801096420 -0.09573939605
#> 2894 1.28685023006 0.43497744740 -0.04727400222
#> 2895 1.04920339718 -0.00346391510 0.50639212505
#> 2896 -0.13295854474 0.24714802982 0.52199097189
#> 2897 1.32822789152 0.01708111394 0.29682833493
#> 2898 -3.57234884301 0.34391419056 -2.57915160086
#> 2899 1.24395427408 -0.03983163035 0.00217297943
#> 2900 -0.15924591356 -0.75842185558 1.07494812607
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#> 2902 -1.18026563642 0.13031550755 1.83823760451
#> 2903 0.95113034246 0.70133076766 -0.29776953858
#> 2904 0.12349953924 -0.77164621506 -0.65078288565
#> 2905 1.12014002314 0.01960680991 0.06897003965
#> 2906 0.70751627386 0.10094091144 0.49314400191
#> 2907 -0.32171192365 -1.53477520449 -2.60246041505
#> 2908 -0.37053625091 0.36867692479 1.02282889151
#> 2909 -0.72674500146 -0.88751137653 0.09778888506
#> 2910 0.58237290239 -0.54142950245 -0.51700490406
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#> 2924 0.65338272614 0.22963069124 0.69882200663
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#> 2963 0.13713100211 -0.12909013697 1.06901200649
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#> 2975 1.52317015956 0.28821775131 -0.33937426715
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#> 2984 0.09316951273 0.05315632010 -0.28443637787
#> 2985 1.19970107570 -0.34344148469 -0.56100497016
#> 2986 0.20950941506 0.63922554215 -0.68003265451
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#> 2988 1.05964269652 -0.18767732759 0.17788776443
#> 2989 -1.01608956461 1.93385494247 0.10751897677
#> 2990 0.75970124887 0.05359183133 0.29625849591
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#> 2995 0.66073676081 -0.31897698992 0.33097127527
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#> 2998 0.14229841264 -0.22963863113 1.68347079343
#> 2999 0.91855875885 0.51947428282 0.12314488883
#> 3000 -1.48726730369 -0.93221075991 -0.65427831567
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#> 3013 1.04037085880 -0.15251904756 0.23862853061
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#> 3015 0.78564012693 0.44433780191 -0.28570923288
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#> 3017 1.52441738540 0.46030732603 -0.28792241143
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#> 3019 0.65334670510 0.02413006265 0.42139614127
#> 3020 -0.83066600346 1.29948988760 -0.15035895900
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#> 3030 0.94132157376 -0.10504763723 0.76077180076
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#> 3032 1.06209065759 0.22223361355 -0.13421277917
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#> 3058 0.40715401416 -0.34812539266 1.42202504934
#> 3059 -0.61587219081 0.08146004256 0.96345333856
#> 3060 0.37014041777 0.23366905492 0.47804371755
#> 3061 1.03038952551 0.16279478064 -0.11095788645
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#> 3067 1.06931273736 -0.07811680497 -0.58536310840
#> 3068 0.88927220990 0.06696394554 -0.74943022226
#> 3069 0.31525398202 -0.70478419244 -0.27446679057
#> 3070 0.79209912899 0.38059071822 -0.88518456348
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#> 3072 0.18852601899 1.46759634370 -0.38798117417
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#> 3076 1.32205590381 0.55555155420 -0.41856746785
#> 3077 0.85214050118 0.08266587167 -0.33967586154
#> 3078 0.44891348501 0.87461569992 0.29351889301
#> 3079 1.41536581429 0.02127120905 0.14921932065
#> 3080 0.64135908633 -0.57487590340 -0.69771393501
#> 3081 0.56845543604 -0.15793157419 0.95284259117
#> 3082 0.45649648704 0.20873457898 -0.10854911369
#> 3083 1.11382121525 -0.09078964556 0.53141692115
#> 3084 1.52124980029 0.24683904968 -0.13589208019
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#> 3096 -1.18472572557 0.34301190785 -0.77388715169
#> 3097 0.15577946706 -0.00115679949 0.46951720644
#> 3098 0.59516143547 0.81992730093 -1.12777938436
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#> 3100 -1.11616803453 -1.08028062368 -0.69634119104
#> 3101 0.37830009851 0.20279300307 0.70031930598
#> 3102 0.15812095902 0.51011696860 -0.04126932675
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#> 3109 1.29210737723 0.18784497109 0.10148454180
#> 3110 0.90888395256 0.15884797512 0.22691387840
#> 3111 -0.16366249086 -0.02229044624 1.07027337295
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#> 3113 -2.07168864129 -2.32340204146 -1.31699836500
#> 3114 1.00878608851 0.25979184629 0.26927825443
#> 3115 1.08543603819 0.18255890547 0.15509977615
#> 3116 -2.16294825872 2.54910174485 0.62644796212
#> 3117 0.07971366747 0.04573404708 0.85686398434
#> 3118 0.73804548017 0.62566666632 -0.26982238123
#> 3119 -1.81007648973 0.50028092870 1.82816138775
#> 3120 1.44111348501 0.15055265944 -0.07533951135
#> 3121 -2.09317682994 -0.64594162592 -2.57882137380
#> 3122 0.19245464236 -0.01982852512 0.63316468594
#> 3123 -0.20237700715 1.38108085581 0.14880685680
#> 3124 1.40066520568 1.03001351999 -1.36895302744
#> 3125 1.59911901760 0.16123090052 -0.16551014750
#> 3126 0.36261106746 -0.35836370905 0.88433777232
#> 3127 0.43760895251 -0.55479746830 0.08253186486
#> 3128 -1.47012718974 -1.51472432231 1.77996258432
#> 3129 1.04258413212 0.25266947664 -0.29216461947
#> 3130 1.37690964024 0.19683559987 -0.26367039073
#> 3131 0.17828290814 -0.64539345784 0.93835692754
#> 3132 -1.40647501582 1.52396566633 -0.96999919142
#> 3133 0.84540178603 -0.17186835540 0.94866022187
#> 3134 1.93659424408 0.22738752002 -0.46748350164
#> 3135 1.47204222506 -0.09107586938 -0.70781238185
#> 3136 -1.95772858678 -0.34261865023 -1.29809375685
#> 3137 1.49089629784 0.07231593860 0.00625676627
#> 3138 -2.47472321195 2.31851528741 -1.85674212046
#> 3139 1.03338153143 0.94953031045 -0.31210813411
#> 3140 0.22998752234 0.91466528136 -0.35303669478
#> 3141 1.86464257596 0.23105314568 -0.52279326539
#> 3142 -1.63776226039 1.28890671872 -0.63435129227
#> 3143 -0.20059549947 -1.45210064515 -1.54067611754
#> 3144 0.28406463817 -0.97745738554 -1.46450226321
#> 3145 0.31074585831 -0.67040819296 0.31792270471
#> 3146 0.94056202553 -0.02983522172 0.63064414159
#> 3147 0.31817119817 0.53655429673 -0.77658621127
#> 3148 -2.32413667239 1.54079906346 -1.74971828758
#> 3149 -0.38352608977 0.40463853016 1.24032066347
#> 3150 -0.05570727509 -0.31842488466 1.51582200880
#> 3151 -1.96098376645 3.10753370572 -0.57135774057
#> 3152 0.82219495802 -0.47256855052 -0.02621657885
#> 3153 0.62559266039 0.33206945000 -0.00981189633
#> 3154 0.30296289841 -0.43253845425 1.25008597666
#> 3155 0.32866348678 0.65934840014 0.50486246545
#> 3156 -1.57653565447 1.20493038539 -3.15095364493
#> 3157 -2.11102837601 -0.09640476856 -0.91176452575
#> 3158 -2.06176497170 -0.01623952865 1.26282730655
#> 3159 1.06224372785 -0.27623346655 0.00235973897
#> 3160 -1.20326384804 -1.71119603555 0.84584617234
#> 3161 1.20662156702 -0.06528934663 0.39449562427
#> 3162 -0.83682990109 -0.50087926957 -1.54523033843
#> 3163 -1.78332860630 -0.02688101214 1.10241760287
#> 3164 -0.99348895196 2.22672463006 -1.30873551300
#> 3165 1.20354033687 0.01791096427 -0.01776322644
#> 3166 -1.45959915891 2.04144314664 0.00864239291
#> 3167 0.19952767812 0.43421551982 0.83741124862
#> 3168 1.48580853555 0.49020519050 -0.30940907866
#> 3169 1.23651796552 -0.01047661339 0.21687710051
#> 3170 1.58286511365 0.21258444985 -0.09765424986
#> 3171 0.26754563604 0.40387709395 -1.07229719356
#> 3172 1.01622279626 0.61336360557 -0.27256092843
#> 3173 -0.41312142340 0.80990016355 0.46749855843
#> 3174 1.06811701074 0.03277287126 0.31471855549
#> 3175 -0.30327706917 -0.29218805517 -0.63816260023
#> 3176 0.85544728822 -0.39778434154 -0.19534752475
#> 3177 0.77254982079 -0.24941782910 0.86882427095
#> 3178 0.07228828058 -0.16292787028 1.21392668553
#> 3179 0.29544880462 -0.25976036455 -0.37658367642
#> 3180 0.14905742478 0.24950324787 0.30943631596
#> 3181 0.21464235560 -0.99211407308 -0.43758591115
#> 3182 0.69863399963 -0.53224650924 0.07657475148
#> 3183 1.22057450266 0.06539680133 -0.27314133046
#> 3184 0.54791771762 -0.08430029235 0.08985015447
#> 3185 -1.44260148451 0.68137151366 1.14291404701
#> 3186 0.72446251862 0.68035710174 -0.41601827237
#> 3187 -0.12288346087 0.25232711942 1.18277613025
#> 3188 1.21665789852 0.15338889766 -0.25040218996
#> 3189 -0.85610894342 -0.95696427661 0.62221093130
#> 3190 -0.48108023087 -1.16197250768 -1.24973237865
#> 3191 1.02130005561 0.20743647620 0.32925990131
#> 3192 -0.03796741080 -1.05785181067 -0.43770099695
#> 3193 0.37532966557 0.62115872189 -0.98963390736
#> 3194 -0.43920439177 0.31268444915 0.30122355866
#> 3195 0.74363497247 -0.26662271487 0.62399531343
#> 3196 -0.38639980829 -1.14288493686 -1.16993764164
#> 3197 1.22480535174 0.47649622703 -0.08371785194
#> 3198 0.09642334168 0.31182973118 1.15496457383
#> 3199 -0.27792854692 -0.10937390430 1.39777018872
#> 3200 -0.97994432172 -0.53028250176 1.80146366511
#> 3201 0.39679800051 -0.26924733868 0.72014290018
#> 3202 -0.86909299285 0.42133215417 -0.00379177471
#> 3203 0.22090147922 -0.73370292987 0.29448270831
#> 3204 0.43100705895 0.72648134613 -0.04661647461
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#> 3206 -1.69011550810 -0.57919234960 1.44771637978
#> 3207 -1.43411702585 -1.46763394763 -1.63973002518
#> 3208 -0.55860615491 -1.09647003170 1.31420966292
#> 3209 0.34614027977 -0.39908165639 -1.02909350986
#> 3210 -0.72951742969 -1.74565554461 -0.52999841186
#> 3211 1.23209169299 0.09575999913 0.24456801922
#> 3212 -0.35119218047 -0.68132732269 1.09873408232
#> 3213 0.57671651835 -0.29348823960 -0.60030799881
#> 3214 -2.91227404177 1.52685976105 1.32480815071
#> 3215 -0.77292125089 -0.29509216309 0.95461395423
#> 3216 -2.43667516164 1.96696362010 1.60947147103
#> 3217 1.08806462947 -0.12281828936 0.50183866794
#> 3218 -1.62532863367 -0.13193663522 0.12728039893
#> 3219 0.85075216057 -0.29913073731 0.19862467647
#> 3220 0.64762076537 0.12959239240 0.88208866088
#> 3221 1.60574461405 0.28356360835 -0.27602989538
#> 3222 -0.75252855717 -0.12983986372 1.01151121443
#> 3223 -0.57701395111 -0.41431033533 -1.10561891009
#> 3224 0.45327330262 -0.19503807960 0.41744949383
#> 3225 0.88948178184 0.07182764491 0.33777850996
#> 3226 0.27890801442 -0.70759809303 -1.38939258599
#> 3227 -0.66799443040 -0.25884117886 -0.47291513520
#> 3228 -1.38184095253 -0.04693565545 0.10841963968
#> 3229 0.35196537544 -0.59477509417 -0.49608655192
#> 3230 -0.59227031384 2.06266703655 -1.25956289226
#> 3231 -0.28714716984 -0.36404779851 1.45910571107
#> 3232 1.35582218488 0.14852518944 0.13988200489
#> 3233 1.13626534383 0.27505540181 0.22674127175
#> 3234 -0.88998181885 1.55673187499 0.31285536827
#> 3235 -2.76536134949 2.07076622046 0.73097151747
#> 3236 -0.02871350105 -0.99425098611 -1.34582029167
#> 3237 -2.55895470532 -1.76938959152 -1.16243247938
#> 3238 0.68476252591 -0.39751204419 0.32234605195
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#> 3240 -0.97620296322 0.44402531808 -0.73244326616
#> 3241 -0.03846746382 -0.37687234695 1.71575309942
#> 3242 1.02788404234 -0.18524142583 0.00212206140
#> 3243 -0.10857538308 0.25485267909 -0.60779042268
#> 3244 1.11632018778 -0.04069754262 0.54806742734
#> 3245 -0.39265996860 0.73069704042 -0.47372283861
#> 3246 1.39976906969 0.06462780088 0.14971357451
#> 3247 0.29687006747 0.56157622411 0.02847204732
#> 3248 0.74357769013 -0.13838008610 -0.64117712290
#> 3249 0.26238645650 -0.05923461606 -1.21217244965
#> 3250 -0.18644651383 1.10033110541 -0.20370877303
#> 3251 1.09921338017 -0.21984023167 -0.16925226483
#> 3252 -1.56157383635 1.06191519501 -0.79281615538
#> 3253 0.46354109905 -0.71077230306 0.05710562562
#> 3254 1.42504251029 -0.04867081962 -0.29795896275
#> 3255 -3.52406149386 0.29302584412 -0.80986743807
#> 3256 1.28657694822 0.02363801015 0.04898815301
#> 3257 0.58606505811 -0.30261919193 0.70708139549
#> 3258 1.40368304570 0.09701002662 0.09674748829
#> 3259 1.25328550132 0.08260615006 -0.61117589738
#> 3260 0.56559072401 0.66229901784 -0.11156742336
#> 3261 0.11505020635 -0.35836959704 0.53874254527
#> 3262 0.56873567721 -0.33451569612 0.83573837706
#> 3263 0.09363268703 -0.79477965782 -0.32294373618
#> 3264 1.03045403616 0.59413124124 -0.26704954028
#> 3265 1.33404997639 0.00252938167 0.29712273668
#> 3266 -0.94945027781 -1.02845134931 -1.36048462404
#> 3267 0.90224690011 -0.16238616504 0.77886444645
#> 3268 0.31062652118 -0.95775153827 -0.63494398003
#> 3269 1.51472712993 0.14929919273 0.04751124585
#> 3270 -0.89241320804 0.90769486232 -0.81344025043
#> 3271 0.13712403585 1.60835429548 -0.38697752962
#> 3272 -0.43140288338 -1.50748580145 -0.44364861442
#> 3273 0.82818902823 -0.73252749491 -0.96626055414
#> 3274 1.07142273128 0.20149675108 0.14967278777
#> 3275 -1.08558072461 -0.86238520204 -0.98420825032
#> 3276 1.80678868636 0.30865416985 -0.76249339313
#> 3277 -0.66636878959 -0.30303520837 1.46247868288
#> 3278 -2.15957875302 -1.05889627808 0.87359172742
#> 3279 -0.34296548255 0.06153332523 0.02032297584
#> 3280 1.27044215689 -0.06746183088 0.22674782211
#> 3281 1.28538157514 0.53420297381 -0.30197640662
#> 3282 -1.75903293935 -1.50645173829 0.49172182007
#> 3283 0.69703752157 0.94302003784 -0.14334632357
#> 3284 1.10457127771 -0.15976795212 -0.79880491937
#> 3285 0.49090425035 0.05826684597 0.95548137085
#> 3286 -0.50790596757 -0.93470937855 -0.55272652093
#> 3287 -1.18717510051 0.53424331786 0.80482695853
#> 3288 -1.46412974997 0.23057618880 -0.15732545288
#> 3289 0.25251367052 -0.44892501247 0.40278194136
#> 3290 -0.22384435078 -0.52425356140 0.44866735646
#> 3291 -0.31096200243 -1.16368771016 0.19049878418
#> 3292 0.34765599836 0.44033195808 -0.19586311509
#> 3293 1.26107108532 -0.10236941308 -0.07348901361
#> 3294 0.83881714185 0.02187196317 0.50783795871
#> 3295 1.22205625422 0.27339941437 0.00615132191
#> 3296 0.36828964863 0.96331887677 0.19082390372
#> 3297 0.46082081192 0.72942653816 -0.39110519381
#> 3298 1.71536804298 0.13541645184 -0.23357559966
#> 3299 -0.32434628834 1.11041440799 0.40808544312
#> 3300 0.98205746557 0.20679797286 0.23278909021
#> 3301 0.83199006383 0.36407895514 -0.20739622403
#> 3302 -1.40145554213 1.67256272807 0.53185240464
#> 3303 1.34028544120 -0.26443944557 -0.64478809268
#> 3304 0.75104782471 -0.22947358591 0.79229286206
#> 3305 1.74333475803 0.31537071918 -0.37600187448
#> 3306 -3.28130511135 -0.99100773107 0.96592264871
#> 3307 -1.10804159904 0.79761369995 -0.94917347273
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#> 3309 -0.05792427730 1.21530371188 -0.43798658874
#> 3310 -0.02485621682 0.81930009222 0.55739591745
#> 3311 -1.35808284240 -2.22518806594 -1.59746925218
#> 3312 -0.01456357905 -0.08829054930 -0.13498491902
#> 3313 -1.36077962487 -0.61050803571 -1.84289321486
#> 3314 0.01945739469 -0.28866367659 0.70139984522
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#> 3318 -1.66699375834 1.44996771829 -2.56413112959
#> 3319 -2.32569535639 -0.64769748111 -0.35910794698
#> 3320 1.18549650463 -0.22505056896 -0.10316472861
#> 3321 1.72100827108 0.21690957731 -0.20525342091
#> 3322 1.72736451285 0.19214062526 -0.42466076543
#> 3323 0.93051615647 -0.01625904598 0.62675363844
#> 3324 -1.42051303774 -1.68998729340 0.46469591122
#> 3325 0.25362589238 -0.35123349778 0.86655397744
#> 3326 -0.96340102866 -0.32774289836 -0.50671241925
#> 3327 0.13129046026 -0.14909331456 1.26422145006
#> 3328 1.74029759326 0.33264010211 -0.43884786928
#> 3329 1.28347134943 0.48187356185 -0.03616706848
#> 3330 -0.07007230594 -0.28111676464 0.79364320823
#> 3331 0.67230272142 -0.11229794081 0.61335980506
#> 3332 -0.48873018592 -0.48904627897 1.76425102642
#> 3333 1.36220067864 -0.05567231841 -0.56638210249
#> 3334 -0.93518052351 0.57552682481 -0.72725728727
#> 3335 0.42656635291 0.86451167336 0.20751193207
#> 3336 0.89860805998 0.08460215377 0.20672658484
#> 3337 1.64025287184 0.13057378605 -0.07673636070
#> 3338 0.32632675414 1.33202741624 -0.53688009456
#> 3339 0.47920953058 0.31718492338 0.30535650666
#> 3340 -0.24538340340 0.15206627029 -0.02824573043
#> 3341 -0.56822405248 1.88312999979 -1.29337788024
#> 3342 0.13851224015 -0.20356107023 0.98533251908
#> 3343 0.19809441688 0.95127056169 0.33657132936
#> 3344 0.04072961853 -0.50471618531 0.37204618577
#> 3345 1.35335436588 1.31741369030 -1.03907800611
#> 3346 0.94176297943 0.35036813210 0.24332195183
#> 3347 0.03364447658 -0.29791069633 1.36820632555
#> 3348 0.36764092288 -0.01470418594 0.40323625839
#> 3349 1.16950332144 0.05886964651 -0.24954659308
#> 3350 1.68441183854 -0.05842819104 -0.96606050166
#> 3351 0.90377784496 0.45341979628 -0.40759045535
#> 3352 1.22777849242 0.38394664015 0.10859052721
#> 3353 1.57070908800 0.22678444487 -0.10301540828
#> 3354 1.10558110226 -0.06745410028 0.09755677053
#> 3355 -1.70904682764 -1.32187008237 -0.31038727777
#> 3356 0.56266844817 0.17903237421 0.83001671914
#> 3357 0.89879401299 0.25151998730 -0.18805926273
#> 3358 -0.39944135383 -0.91710675669 0.41113096014
#> 3359 -3.48235483816 0.47320011898 -0.29947189155
#> 3360 0.45268559544 0.14603375142 -0.34078120925
#> 3361 -1.47649657701 0.34939030861 -0.28376062213
#> 3362 0.21303559573 1.35262567112 -0.18537195495
#> 3363 1.42937012707 0.23325943004 -0.06028400858
#> 3364 1.35700598228 0.10013977984 0.12661807938
#> 3365 -0.09045478795 0.06762115708 -1.51700024558
#> 3366 -0.27102227032 -0.93422123924 -1.30097496574
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#> 3369 -0.14717133553 -0.67050549612 1.76156731490
#> 3370 -0.19645417893 -0.40546744926 -1.45617047963
#> 3371 -3.19509214892 0.83441297727 0.84628107907
#> 3372 1.05001982558 0.16862404077 0.34038231938
#> 3373 -1.51576506975 -1.82224658207 -2.25422353099
#> 3374 1.39187207120 0.04390713647 0.07191656009
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#> 3378 -0.57015156758 -0.29232676196 1.69261260721
#> 3379 -0.95241188730 1.91984260269 -1.21496254198
#> 3380 0.35954087402 -0.51668835186 0.03253137283
#> 3381 -3.51744950164 -1.46478774503 0.62447278703
#> 3382 1.17884302645 -0.09235759694 0.36478776733
#> 3383 0.25694531677 -0.59941925709 0.14499072490
#> 3384 -1.40267215432 1.62773151431 -0.34058019346
#> 3385 -0.79175354954 0.14431403545 1.27830643945
#> 3386 0.33388806209 0.49537059974 0.09214535303
#> 3387 0.54385670152 -0.13157445475 0.87576534287
#> 3388 1.11218781843 0.25780034255 0.19813237496
#> 3389 0.41011921722 0.03084906781 -0.20148548816
#> 3390 1.10137989291 0.61878896069 -0.13870522698
#> 3391 1.73381448533 0.14836164397 -0.21532318068
#> 3392 1.21898525478 0.14243480190 0.24798704372
#> 3393 0.55534782589 -0.01662370773 0.54976971765
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#> 3398 0.77619586679 -0.24108518914 0.00563111689
#> 3399 1.13843860149 -0.07011231533 -0.09459771541
#> 3400 -3.01074134034 -2.75401087348 -0.44219706969
#> 3401 0.56676302222 -1.22479468957 -1.96688141789
#> 3402 1.18972658453 0.84577817080 -0.43714283104
#> 3403 0.15024959935 -0.04844759097 0.87435132838
#> 3404 -1.76335462508 3.17871124179 -0.54720160314
#> 3405 0.81402276366 -0.37823485718 -0.50473059387
#> 3406 1.27389195192 -0.05875663322 0.23200451760
#> 3407 0.86441206686 -0.17491122068 -0.55720000577
#> 3408 -0.08327011106 -0.14161062295 0.88661534190
#> 3409 0.87816458996 0.07248774291 -0.09759124028
#> 3410 0.83299334507 0.16365503786 -0.54804971471
#> 3411 -2.89872337900 1.21928058778 0.31118762796
#> 3412 1.50977671714 0.11955687881 -0.24774635080
#> 3413 0.48381804532 0.21477640429 0.12733869400
#> 3414 -1.67733852290 2.50114756632 0.18996749042
#> 3415 0.77850260293 0.11719952575 0.33720106803
#> 3416 0.41469054359 0.51599152235 0.16151438281
#> 3417 1.02410064049 0.27076234223 -0.36687359365
#> 3418 -1.85473765591 -0.82769637631 0.09467413680
#> 3419 0.88281474114 0.07870479612 -0.46839230024
#> 3420 0.01181662841 0.71490043362 0.05573552549
#> 3421 0.82515389004 -0.11893795179 0.51407044980
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#> 3423 -0.69121638359 1.31822844503 -0.03558321998
#> 3424 -0.31547916765 0.70261804568 -1.07284656881
#> 3425 0.37351675687 0.03051460890 -0.51292177736
#> 3426 0.59707569683 -0.21278853883 0.74205752071
#> 3427 1.77869383890 0.18902598197 -0.60247368146
#> 3428 1.23112615598 0.01006995393 -0.64981617935
#> 3429 0.66593373371 0.29170530309 0.29261711400
#> 3430 0.09585861008 -0.31895905836 1.40375667269
#> 3431 1.47360811097 0.71940250482 -0.68599275739
#> 3432 0.05223235641 0.47005370205 0.51537118182
#> 3433 1.41818303489 0.14832542500 -0.02843111646
#> 3434 1.14383051772 -0.17785633063 -0.18750512539
#> 3435 1.27900273959 0.10917192434 -0.14898357282
#> 3436 0.31555826093 -0.48775614468 -1.36172231797
#> 3437 0.08528221202 -0.47515285630 0.91540911555
#> 3438 0.11024303978 0.81055724788 0.22645492077
#> 3439 -0.98799657939 -1.33407098869 -0.16585777967
#> 3440 2.00722615034 0.24942838343 -0.62279175900
#> 3441 1.75106433286 0.03031105634 -0.67067717278
#> 3442 -0.87038995696 -0.08162226967 0.51129810663
#> 3443 0.69876508089 0.25953610729 -0.12533713099
#> 3444 1.30025390759 0.68283974573 -0.46384962041
#> 3445 1.00012104916 -0.03632770219 0.02404250987
#> 3446 -0.51249983988 1.56015879544 0.17542695776
#> 3447 1.65494431030 0.27479683595 -0.30557698319
#> 3448 -0.59639676072 -0.91632500540 -0.18243292125
#> 3449 0.62348271028 -0.68302055996 -0.24366367813
#> 3450 1.30725291727 0.34365404176 -0.55784918870
#> 3451 -1.51067772143 1.68589840143 -1.43840936551
#> 3452 1.24059247617 0.32128564425 -0.18240116839
#> 3453 1.12428710420 0.47177924617 -0.22940354634
#> 3454 -1.10893133635 3.13895414675 -0.76292573893
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#> 3456 0.61978009346 0.43311447629 -0.13632255808
#> 3457 -1.00834105912 1.28436161048 0.07468495101
#> 3458 0.96683520451 -0.33464142807 -0.15506947184
#> 3459 0.51592388641 0.75063829921 0.30966857471
#> 3460 0.44644478653 -0.44870042951 0.33769828445
#> 3461 0.35796292870 -0.49223652423 0.90696099115
#> 3462 -0.24431004715 -1.71231397876 -2.37675360069
#> 3463 0.39656192342 -0.65562751156 -0.69611029645
#> 3464 1.29125318182 0.36219063930 -0.06517225291
#> 3465 -1.85734760202 -0.20006908808 0.72190914516
#> 3466 -0.30534662072 -0.67518460835 0.76774652834
#> 3467 1.24104697242 -0.08644788103 -0.08451106361
#> 3468 -0.37091697895 2.06525578498 -0.71662403157
#> 3469 0.24430828638 -0.80496080759 -0.35944551271
#> 3470 -3.37729739040 -1.09106124102 -1.82709597267
#> 3471 0.84612240087 -0.19590728702 0.65951954618
#> 3472 0.67634964551 -0.14837362568 0.82307364509
#> 3473 0.27842099478 -0.45041102731 1.29114272453
#> 3474 -3.59839572011 1.48058485370 0.56476898151
#> 3475 -1.45246247229 1.79756072232 -0.99132196364
#> 3476 -0.55034683029 3.17506713863 -1.11756236063
#> 3477 1.50678089787 0.30183635600 -0.19663082254
#> 3478 1.18242601195 -0.19940840910 -0.38070466866
#> 3479 -0.40608019991 -1.73865486930 -1.64275624050
#> 3480 -0.71701092307 -1.04379552272 1.85689620352
#> 3481 -1.21048608045 2.19238431809 -0.68589410600
#> 3482 0.70187797564 0.09958207973 0.27381518814
#> 3483 0.64260964454 0.30879832632 0.71359982549
#> 3484 0.32693016939 1.02531270327 -0.04052802904
#> 3485 0.89240490243 0.20339693120 0.22706643832
#> 3486 1.11998163011 0.29503582322 0.22480325157
#> 3487 1.34124947745 0.36146128488 -0.02620659210
#> 3488 1.30996436180 -0.11778713453 -0.25681947458
#> 3489 0.12774597466 -0.17464921833 1.19388020474
#> 3490 0.03136956152 1.03177307354 0.22952910863
#> 3491 -2.33622828082 -0.30611096223 0.73883131956
#> 3492 -0.62135728652 1.64266209843 0.11431935454
#> 3493 -1.37010221900 -1.94004954285 -0.93741643252
#> 3494 -2.03011343829 -0.37897553102 -0.27335593509
#> 3495 0.72236111954 -0.50861463666 0.10209981229
#> 3496 0.91375738469 0.36758063817 0.00930027070
#> 3497 1.06293925303 -0.14456053186 0.47577209884
#> 3498 -1.23602378674 -2.07060034755 -2.75921814874
#> 3499 1.30851702551 0.54324165229 -0.21566415056
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#> 3577 1.61439722613 0.08976747015 -0.10896676378
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#> 3600 0.86185165174 -0.23324802592 -0.35919326885
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#> 3610 0.69863399963 -0.53224650924 0.07657475148
#> 3611 1.17991775639 0.27872340195 -0.17690145710
#> 3612 1.33318388929 0.34096845572 -0.10406889690
#> 3613 0.11607454574 0.05580047945 1.09526996919
#> 3614 1.17911975876 0.51150196304 -0.10925205055
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#> 3632 1.18011347033 -0.02278215026 0.38619006950
#> 3633 1.10168963148 0.11884746961 0.36627370771
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#> 3703 1.70599067161 0.15234256527 -0.30149077771
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#> 3768 0.07155326341 -0.20266730518 1.41949217756
#> 3769 0.52800583119 0.42299031514 0.44015989251
#> 3770 0.16133321047 -0.69436347366 0.69358763443
#> 3771 0.02024252603 0.17280021068 0.55470938405
#> 3772 0.26349069883 0.21516181434 0.38903945768
#> 3773 1.14456955160 1.14120871562 -1.03725010328
#> 3774 0.68018301520 -0.33682456256 0.55368076023
#> 3775 0.94149412923 0.24845112432 0.27874974776
#> 3776 0.51661649133 -0.37691681129 1.06511348150
#> 3777 1.69913983623 0.07635744236 -0.54626972459
#> 3778 -0.33171035417 -1.72776537843 -1.58128240651
#> 3779 0.38138716092 -0.20368260316 0.51589726549
#> 3780 0.14047415974 -0.43634495114 1.83853713175
#> 3781 0.69788070338 -0.20924530983 0.60496898473
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#> 3783 1.17989813410 -0.06056761469 0.30940762267
#> 3784 0.77163580834 0.04308662891 0.73677698242
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#> 3786 -2.51663210314 1.56111692357 -1.82256905997
#> 3787 -0.11871114330 -1.37818121823 -1.01196058487
#> 3788 0.51720601793 -0.32986763226 0.64512796626
#> 3789 -0.45689851768 -0.34781347302 2.04774356706
#> 3790 -0.27971085757 -1.11106339953 -1.07699750850
#> 3791 1.06099410683 -0.05679569505 -0.15138126103
#> 3792 -1.54301282287 2.26305399010 -0.85136141429
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#> 3837 0.39234429586 0.01381555148 1.08233076412
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#> 3900 0.37639990443 0.19895170283 -0.17860453378
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#> 3906 0.22231435896 0.77804823761 0.31567080536
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#> 4000 0.76861291745 0.04752515021 0.75005309431
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#> 4046 0.77385997218 1.39082287709 -1.10295136267
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#> 4049 -1.37197825111 0.50801331779 -1.30647924082
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#> 4055 0.67075803297 -0.67147095123 -1.13725430497
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#> 4057 0.10405965621 -0.43581301516 1.81015693499
#> 4058 0.30195869629 1.31488510413 -0.12675683111
#> 4059 0.40068857523 0.32664266212 0.74637584540
#> 4060 0.49243534605 -0.57595344692 -0.74295628827
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#> 4064 0.94181418218 -0.01709982165 0.20111354614
#> 4065 0.27800628358 -0.59477050186 0.37998223387
#> 4066 0.18686445165 -0.78370615974 0.18761238973
#> 4067 1.17052696594 -0.20036468203 -0.10765514736
#> 4068 0.58431179851 -0.08096405498 -0.53202188116
#> 4069 0.18272191393 -0.26093857376 0.19833525319
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#> 4071 1.24233246889 -0.05175273053 0.20932720651
#> 4072 0.98697521280 0.01513207214 -0.62253666811
#> 4073 -1.00944212750 0.36614983874 1.60702723969
#> 4074 1.21716982591 0.08443008960 -0.48735046743
#> 4075 -0.88669361573 0.76989939445 1.17573255685
#> 4076 0.70717070069 -0.16843806551 -0.24427637469
#> 4077 -1.34192323506 1.75840260644 -1.35043031693
#> 4078 -0.60820954842 -0.52023808801 2.09571957673
#> 4079 0.86392388791 -0.14693304928 -0.33225288034
#> 4080 0.66042190607 -0.00674515602 0.78660090540
#> 4081 -0.12242470664 -0.43368250948 1.20425216611
#> 4082 0.31336707527 -0.17245952506 0.11319940691
#> 4083 -3.35490850178 0.09907472748 -2.48056680019
#> 4084 0.11032502513 -0.92513437784 0.15168199536
#> 4085 -0.16067646865 0.18288077974 -0.60419793951
#> 4086 -3.03060349645 -0.54774497664 -2.19901613853
#> 4087 -0.60321123442 1.18184267556 -1.52648557353
#> 4088 1.57690964913 0.22063277623 -0.09996064599
#> 4089 -2.81199789359 -0.56438050135 -0.14400393714
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#> 4759 0.42863423363 2.10932092957 -1.09721836000
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#> 4813 1.13119402164 0.44986401353 0.05223592754
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#> 4841 1.04481556208 0.00246588749 0.50469283092
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#> 4870 0.86760145508 -0.60145946532 -1.11405590276
#> 4871 0.41728464679 -0.46992225517 0.95999329111
#> 4872 1.41723685353 0.86242025525 -0.68822047648
#> 4873 1.00579949813 0.28822738479 -0.59321631358
#> 4874 1.39535147085 0.08775393048 -0.05758106627
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#> 4881 0.43100657107 0.42508803576 0.08965957437
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#> 4883 -1.24279129561 -0.15793423471 0.61907678144
#> 4884 1.85539902319 0.20848268856 -0.31953337379
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#> 4887 -1.47229323222 3.57955306826 -0.63579031496
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#> 4893 0.28897069830 0.10837504444 0.81193310763
#> 4894 -0.37003246668 -1.24685204028 -0.97048169778
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#> 4896 0.84467066768 0.09064019923 0.52530367251
#> 4897 0.17610265493 -0.44464164509 1.64690035066
#> 4898 1.21781650630 0.28824304649 0.07271362454
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#> 4900 -1.96473840519 1.26171564607 -1.54993206848
#> 4901 0.76228774914 -0.20819369815 -0.05177109367
#> 4902 1.46378518472 0.00872181900 -0.03364122514
#> 4903 1.52421553739 0.27827485737 -0.18987884124
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#> 4911 0.97826804587 0.22462662531 -0.41632205887
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#> 4914 1.47345645001 0.04408157272 -0.23281479501
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#> 4916 1.77859624557 0.06216837593 -0.63975793511
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#> 4931 1.84960547179 0.00068373771 -1.03639241662
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#> 4949 -1.54788464788 -1.31239156486 1.92996537285
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#> 4951 1.27461546350 0.29555972824 -0.09775347288
#> 4952 1.26491134985 0.04848786679 -0.82919590724
#> 4953 0.29721766972 0.81062988230 0.37299884075
#> 4954 0.79897409986 0.13117681133 0.06713591401
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#> 4957 -2.03079134321 1.29374835521 1.30730886903
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#> 4962 -0.30648960148 1.24754818941 -0.03747763259
#> 4963 -0.22480940966 -0.59700482669 1.51950383415
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#> 4965 1.04306764110 -0.10152665527 0.68994529290
#> 4966 -0.39370129597 1.37962061504 -2.23831967587
#> 4967 1.29304911086 0.10249643754 0.29431310325
#> 4968 0.35482897136 0.29590484205 0.20164419502
#> 4969 -0.66562705617 -1.34053906196 0.51990061644
#> 4970 0.67551363547 -0.03102463431 -0.66302777478
#> 4971 -2.88718998586 0.92955683970 -0.63324557836
#> 4972 1.55483493454 0.11514772681 0.06892497255
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#> 5468 1.13523071642 0.00832692150 0.14301851813
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#> 5489 1.44022548087 0.04337253683 0.17518298726
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#> 5525 1.01175831606 0.31660692109 -0.29756818792
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#> 5538 -0.92304204633 1.86088689650 -0.92658410342
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#> 5540 0.92979851557 -0.05808657861 0.18957905573
#> 5541 0.77461567975 -0.08511822818 0.91863282202
#> 5542 0.62839063668 -0.16986466523 0.99631077738
#> 5543 0.07355067684 -0.98683112861 0.10476791727
#> 5544 0.50275392855 0.31171982050 0.17061163287
#> 5545 -2.17099471730 0.42094213685 -0.87254858653
#> 5546 -1.37437004336 3.27934017366 -0.92976099956
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#> 5548 0.12513753436 -0.39428066004 0.53611463803
#> 5549 -1.13283043604 1.20645890043 -1.28293071088
#> 5550 -0.36901344349 -0.79374044659 -0.83678394276
#> 5551 0.08473051632 0.14940076367 1.09816051650
#> 5552 0.88452503217 -0.33788595756 0.27925482886
#> 5553 0.55209192111 0.00898598672 0.78410697538
#> 5554 0.52236726816 0.25741908239 0.60430221116
#> 5555 0.86700358767 0.12921303264 -0.46596846571
#> 5556 0.87444782975 0.18018770514 -0.87943092429
#> 5557 0.91859827311 -0.03309481720 -0.03889457425
#> 5558 0.48199791853 -0.14096473663 1.04165911513
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#> 5852 0.46538300110 -0.48649358979 0.77570153088
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#> 6140 0.80116646693 -0.27149979978 0.67467957062
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#> 6145 -2.60302885684 -0.44439568787 0.55472482623
#> 6146 0.20550351456 -0.45939130697 1.01424342235
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#> 9974 0.15322462040 0.83161362747 0.05961523781
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#> 9976 1.39622163049 0.10894001607 -0.05719304151
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#> 9981 1.07657219481 -0.07339244334 -0.14404138046
#> 9982 1.08833578615 0.01405062853 -0.60895376576
#> 9983 -0.83501792344 -0.13187702778 1.81476530764
#> 9984 -1.09896877998 -1.43635250485 -0.07742843008
#> 9985 1.10357475149 -0.02076876912 -0.10744612884
#> 9986 1.14075997145 -0.06539818738 0.34285128009
#> 9987 0.62075801596 0.71133890194 -0.48819920748
#> 9988 1.65032367005 0.49254307303 -0.89670299890
#> 9989 -1.24910325182 -0.12230038248 -0.89528319508
#> 9990 0.89100826302 0.39571494888 -0.15186768247
#> 9991 1.35370144915 0.02052973078 0.31780217243
#> 9992 -1.79528956671 -1.31930096636 1.14822034099
#> 9993 1.62879363393 0.13937635729 -0.08313456467
#> 9994 1.55483493454 0.11514772681 0.06892497255
#> 9995 -0.15666607936 0.46041483913 1.15180414754
#> 9996 0.93864914215 0.07910460067 0.44397394554
#> 9997 0.39988511457 -0.23486638252 0.14680648403
#> 9998 -1.67780388944 -2.71932777245 -1.77582785351
#> 9999 1.09796241176 0.36836814507 0.21941455798
#> 10000 -0.06696446855 1.00483954764 0.36169356965
#> 10001 0.30171437978 0.17018927315 0.40580283258
#> 10002 0.91949840080 -0.55903206298 -0.62669558746
#> 10003 -0.14740938663 -0.55680579669 0.49849555549
#> 10004 0.44579501933 -0.22517058035 -0.02498818424
#> 10005 0.69930006037 -0.43475053157 -1.41417252863
#> 10006 -0.07154141045 -0.46266793059 0.36192901535
#> 10007 -0.66016904792 -0.60103882063 1.37993161839
#> 10008 0.00914021642 0.99651438942 -0.88385036679
#> 10009 1.68380474800 0.18698322380 -0.24318545428
#> 10010 1.68552628015 0.20916345774 -0.23533083676
#> 10011 0.89005175967 -0.50326072624 -0.48182101245
#> 10012 -2.43636463397 3.21840115415 0.23977703532
#> 10013 0.11557965426 -1.06331172373 -1.40459325546
#> 10014 0.68706543795 -0.59829379745 -1.32013549161
#> 10015 -1.19198374600 -0.42722511240 2.32157647788
#> 10016 1.08245642999 -0.14543357753 0.20815597825
#> 10017 1.52725996142 0.01592821669 -0.19890916517
#> 10018 1.42513413104 0.53072974507 -0.84484884241
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#> 10022 0.88859716016 -0.12060051906 0.34617652154
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#> 10024 1.25621647267 -0.00086756440 0.45225578967
#> 10025 0.57293994520 -0.01599862320 -0.30475525266
#> 10026 2.17217109373 0.78087844988 -1.48880561038
#> 10027 1.79074846463 0.30418040209 -0.55925188765
#> 10028 -0.14130488932 0.68200626729 0.20874860203
#> 10029 0.98585293355 0.46640573391 0.16031476090
#> 10030 -0.56273599205 -0.42086132470 1.07488450342
#> 10031 -1.58074274447 0.96342793278 -2.35658966544
#> 10032 -0.06401779664 -0.51467658187 1.37265744601
#> 10033 -0.40941740952 1.34897511207 -0.02285702186
#> 10034 0.05281852219 0.52203966084 -0.55453976937
#> 10035 -0.65491189559 0.45297094893 0.77090202182
#> 10036 -0.95551564452 1.18579470115 0.37842349159
#> 10037 0.16280114026 -0.50087711012 0.53436460464
#> 10038 0.92574460880 0.39836889622 0.09325544931
#> 10039 -0.21089966292 -0.51069714746 1.54814438400
#> 10040 -2.88380356198 1.30148081058 -2.19296286803
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#> 10045 -1.76890639451 -0.48176042923 -0.96495204272
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#> 10049 1.12072379289 -0.50018444556 -0.88599234046
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#> 10051 1.11818703393 0.07650159777 0.36678170179
#> 10052 0.68566341932 -0.32122552831 0.07241441530
#> 10053 1.15021967397 0.23961925466 0.15707236063
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#> 10057 1.31541570075 -0.14945850712 -0.19630576625
#> 10058 0.40798787706 1.09749124113 -0.32455305776
#> 10059 -2.56830132362 -2.38508662353 1.05235965745
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#> 10061 -0.16559900130 1.59231507037 -0.47731821152
#> 10062 0.73626630091 -0.21152302971 0.85150537657
#> 10063 0.99302253790 -0.28904136898 0.16148156316
#> 10064 1.32542247845 0.16006159939 -0.09768063982
#> 10065 1.18603044042 0.12099183804 -0.28390555852
#> 10066 1.09872223179 -0.24755519448 0.03935754470
#> 10067 -1.31745680400 -0.14491831806 -1.45526063151
#> 10068 1.12071980118 0.03568117470 -0.29457704398
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#> 10070 -0.63592792700 -1.73294495504 -0.88717614911
#> 10071 -0.08702281062 -0.58151908046 0.53206115937
#> 10072 1.26936961376 0.14887388895 -0.14046944132
#> 10073 0.02655315276 -0.48866536502 1.95104080064
#> 10074 0.09515456293 0.58911108538 0.14967991467
#> 10075 -3.37625485321 -0.31744636968 -1.16512788636
#> 10076 -0.52444820485 1.28472704111 -0.63162332943
#> 10077 -2.87290439172 0.71695770171 -0.46286474254
#> 10078 -0.06729066918 -0.03890695217 1.14092144518
#> 10079 1.62792207574 0.13812389769 -0.14971600297
#> 10080 1.04537144842 -0.15880047197 -0.41066589908
#> 10081 -0.71356095340 -0.38204594415 1.33679134366
#> 10082 0.21663402690 0.50647967787 -0.93050786790
#> 10083 0.18279897470 -0.51028188510 0.48174635770
#> 10084 0.71141815218 -0.14624817117 -0.65826117550
#> 10085 -1.61573086764 1.70332226351 0.22136498331
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#> 10089 -0.15067941757 -0.62624646895 1.55467594090
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#> 10091 0.42475462195 0.06066780361 0.03585307327
#> 10092 0.45359286860 0.10869014659 0.94103164554
#> 10093 1.48238076107 0.46141926088 -0.32053826589
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#> 10101 -1.19446499097 -0.87333733820 2.34638538554
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#> 10103 1.61493882204 0.18706252627 -0.08000536579
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#> 10111 -1.67695690300 -0.48877349708 0.42002086873
#> 10112 0.79885159331 -0.11622701671 0.71137738129
#> 10113 1.04126867634 0.24224750610 0.13799490852
#> 10114 -1.98317757667 3.08405757556 -0.59563554388
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#> 10116 0.26334984519 1.14262916125 0.00958768199
#> 10117 -3.25017870775 -0.74267299328 1.04571822389
#> 10118 1.56568826297 0.23134179603 -0.10561328953
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#> 10120 1.10046329933 -0.06053780547 0.09557477889
#> 10121 -1.98461390644 1.10917238905 1.28387429834
#> 10122 -1.53798160491 1.93020544963 0.34883879443
#> 10123 1.14475750489 -0.21959241723 -0.35061253177
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#> 10127 0.94088785614 -0.48487161649 -0.37105863905
#> 10128 1.07721906147 -0.08423844733 0.28753155048
#> 10129 1.51196105301 0.12349099781 -0.17934961466
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#> 10133 0.67701220212 0.51055433079 -0.50300643961
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#> 10135 1.21663277683 -0.05431193845 0.40556061780
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#> 10138 1.73233703411 0.14590252747 -0.21720225229
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#> 10148 -3.24702579246 1.60118350612 -0.21012603319
#> 10149 0.29354640049 0.55996823406 0.51372551543
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#> 10157 1.76333946217 0.17975338524 -0.18297863460
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#> 10185 1.13593801723 0.49613592988 -0.21312941204
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#> 10200 -1.22744125904 0.06495948723 2.65059366341
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#> 10214 0.29062252675 -0.84711837430 -0.18392383040
#> 10215 0.66805112774 -0.49091624296 0.06473080261
#> 10216 0.93819341056 -0.00747681891 -0.51580327859
#> 10217 0.84055765057 0.03599201850 0.07180482281
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#> 10220 0.98889592893 0.42188167274 -0.78438511812
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#> 10230 -1.15916013093 0.67500298254 -0.22223136551
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#> 10259 0.69149255913 0.16746538534 0.05908269043
#> 10260 0.75355322018 0.23509168504 0.12755153760
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#> 10265 1.45837821140 -0.07500706946 -0.27955996315
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#> 10274 -0.90626956237 -0.86282303819 0.45892202623
#> 10275 -0.33299009907 -0.00520217531 1.74555516734
#> 10276 0.04059081984 -0.06884995236 1.21668035811
#> 10277 -2.18756092917 -2.51493179748 -0.00964393601
#> 10278 1.00349025021 0.23150498102 0.32236262805
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#> 10280 1.19505263325 0.45432380365 -0.11353680988
#> 10281 1.39313691719 -0.20887442531 -0.58707363577
#> 10282 0.52174817784 0.07838078249 0.76842810081
#> 10283 0.85697664031 0.00112549648 0.58334297090
#> 10284 1.59949130922 0.07426543147 -0.12519458294
#> 10285 -1.56512770697 1.14819680790 0.53244710409
#> 10286 -1.69675840553 -1.36665476520 1.86733440580
#> 10287 -2.01478200663 1.87150985188 -0.96692718106
#> 10288 0.21031808468 0.54901725543 -0.70585734332
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#> 10295 1.17668927734 0.10157410562 -0.51404463870
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#> 10298 -1.57503141112 -0.60647006260 1.10190081766
#> 10299 1.42977192679 0.07802710484 -0.47421540961
#> 10300 0.01900298241 1.56886866715 -1.35467794018
#> 10301 0.87823873937 0.26041540954 0.23268884556
#> 10302 -0.47485905453 -0.47437369762 1.77942465348
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#> 10305 0.29598743412 0.38053228561 0.25396054950
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#> 10310 -2.61760511684 0.36925717091 1.88267238259
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#> 10315 0.76285477627 0.85571744554 -0.33449839506
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#> 10317 -0.13343461075 -0.10053856392 0.41964022227
#> 10318 1.33533648386 0.26327801964 -0.05391350521
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#> 10320 -2.99341090253 -0.34410369842 -0.37315274326
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#> 10322 -2.11202746066 -0.23788872139 0.78814548538
#> 10323 1.29501282321 0.45679382039 -0.31193131615
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#> 10325 -0.28424183531 -0.56917499882 0.31559999686
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#> 10328 -4.21992101827 0.63785360218 0.04687492409
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#> 10332 -0.78566051951 -0.42921940796 1.33198549012
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#> 10339 -0.30245804756 0.20055525994 0.53568666600
#> 10340 0.17951965945 -0.72339675346 0.69932387866
#> 10341 1.67201668578 0.08483588008 -0.28238333517
#> 10342 -1.00584560436 0.10312871955 0.81579878190
#> 10343 0.81332825763 0.41051745596 0.22584721428
#> 10344 1.42861014869 -0.09582202486 -0.30899279551
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#> 10348 1.30893595081 0.44910430158 -0.24294667046
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#> 10350 1.76811315943 0.12593271110 -0.41214711026
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#> 10354 -1.99971940425 3.12677323860 0.33795556967
#> 10355 1.25190781173 0.26976390694 -0.40576900492
#> 10356 1.00811041639 0.26981891957 0.33722083068
#> 10357 0.19801760000 0.22201332222 0.72018853300
#> 10358 1.18639227102 0.09513824971 0.20857331882
#> 10359 0.55005278320 -0.40884326795 0.21345731292
#> 10360 0.58805309675 0.46379123214 0.28205937306
#> 10361 0.75575042763 0.21488305722 0.34046971043
#> 10362 -0.96491243486 1.13405398000 0.78153390029
#> 10363 0.52434465850 -0.89107769238 -0.81662424564
#> 10364 1.74029759326 0.33264010211 -0.43884786928
#> 10365 -0.52287513737 0.38464505587 -0.17748588723
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#> 10369 -0.38962114995 -0.05885249250 1.31672434335
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#> 10373 -0.50734311644 -0.91793334669 -0.53850654543
#> 10374 0.64101290335 -0.20805748854 -0.36154113250
#> 10375 1.22642622601 0.12268117001 -0.03463033335
#> 10376 1.32292277476 -0.01139562601 0.28431865534
#> 10377 -3.31860256835 1.86856116518 -0.04453793343
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#> 10380 -0.59111563744 -0.74395618988 1.17500355301
#> 10381 -2.99700346094 1.55047504972 -0.47165232710
#> 10382 0.41934411849 0.23119913566 0.29875415561
#> 10383 1.19024035368 -0.09590301748 0.09836078531
#> 10384 -1.46702256815 -0.42619560932 1.66741757245
#> 10385 2.02344419885 0.28300574207 -0.66576522566
#> 10386 -0.36011222209 -0.29361775548 1.70523872719
#> 10387 0.08038301846 -0.54709180688 0.67334632857
#> 10388 1.11749062570 0.11404184333 -0.92549490809
#> 10389 -0.03280543303 -0.30349043358 1.10468570629
#> 10390 -3.16356034556 0.85528631824 -2.96949804777
#> 10391 0.38406795845 0.55115054373 -0.28641791937
#> 10392 -0.82015327501 -0.16204454899 1.38331856232
#> 10393 -1.58779291357 0.83388607340 0.57408959670
#> 10394 1.94520461009 0.27124604337 -0.51340322536
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#> 10399 -1.20966990359 -1.32787255037 1.10484867391
#> 10400 -1.58689739233 1.57619366139 -1.09606848431
#> 10401 1.51985166793 0.17685235702 -0.37463865754
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#> 10403 1.07295516243 -0.07296008976 -0.14674905606
#> 10404 -0.99878995221 -1.45283327819 1.08186077362
#> 10405 0.99793436155 0.21275514858 -0.33886141008
#> 10406 0.01329490725 -0.53391494871 1.64472443736
#> 10407 1.37099608580 0.30710762514 -0.30149247077
#> 10408 1.67544444318 0.32468718535 -0.42647154882
#> 10409 -0.77763925346 0.62428614962 1.43014458495
#> 10410 1.59877829751 0.20890216201 -0.08626391557
#> 10411 0.92329945547 -0.18655566642 -0.07475797591
#> 10412 -0.91258905800 -1.13547233868 2.11098951051
#> 10413 0.45493858855 -0.22168798251 1.27943235508
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#> 10416 -0.32062264426 -0.13049838736 1.93562069968
#> 10417 0.69571184037 -0.36788966466 0.12249123325
#> 10418 -3.38241003322 -0.73687577385 -1.01031680302
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#> 10420 0.70246749762 0.49174876855 -0.48857414092
#> 10421 -1.70554895746 0.78909476959 0.97313051976
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#> 10423 -1.29139156549 2.39432751479 -1.05878112173
#> 10424 1.02718315568 0.22470883024 0.34779466140
#> 10425 -1.98827149867 2.41408138260 1.00638610012
#> 10426 1.12879240526 0.24794168764 -0.07440170635
#> 10427 -0.20123618141 -1.69282285460 -1.62038009574
#> 10428 0.33510540117 -0.64057820527 -1.17410385375
#> 10429 0.00447849411 -0.77078525063 -1.47138971309
#> 10430 1.38864534214 -0.07910308971 -0.11828389112
#> 10431 0.18033275812 0.50029889634 -0.23605260603
#> 10432 1.31523068264 -0.01659558974 0.27676558217
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#> 10434 -1.65536274987 -1.61343334726 -1.43387920050
#> 10435 1.54218462349 0.09214164832 0.05226379745
#> 10436 -0.10834917781 0.94519160568 -0.40513436187
#> 10437 -0.67965648248 0.78642779952 0.90311468576
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#> 10439 -1.06465902003 0.93562343411 -0.65757440223
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#> 10441 1.33395769230 0.01989337663 0.08501974579
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#> 10443 -0.34430504348 2.41152308959 -0.96292429095
#> 10444 0.57300365776 -0.61257433638 -0.26255945235
#> 10445 -0.85031122129 -0.66585549572 1.22129658788
#> 10446 0.64305485880 0.03475049804 0.85069313380
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#> 10449 -1.51014590983 -1.35178776954 1.79639178014
#> 10450 1.18360536281 0.15217137718 0.15758628133
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#> 10453 -1.38921866648 0.41444996849 2.40920001847
#> 10454 1.64569649733 0.12321716854 -0.07462818649
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#> 10459 -1.02950994106 -1.16841877647 -1.31268378609
#> 10460 0.20089405170 0.69021993313 0.69644539459
#> 10461 0.97736240954 -0.23833165489 0.38120643481
#> 10462 0.90181817315 0.04480280541 0.62217412414
#> 10463 -1.30407027016 0.95528224348 -1.99057201674
#> 10464 -1.21029438958 -0.87913409154 2.39935701221
#> 10465 0.29121696740 0.03463085251 1.00918756147
#> 10466 1.30103481337 0.13286662815 -0.12476840582
#> 10467 0.47992229701 -0.40084782356 1.02933903778
#> 10468 0.63135052305 -0.20622033173 0.93181674258
#> 10469 1.11871720060 0.18522558134 -0.31781558083
#> 10470 0.62733564810 0.33475352210 0.20946483540
#> 10471 1.44245071445 -0.04768984826 -0.28402930617
#> 10472 -0.40778433713 -1.83894195752 -2.54200060614
#> 10473 0.53524224431 -0.37037733635 -0.42885676268
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#> 10475 1.81661907771 0.17177519829 -0.36068970101
#> 10476 -1.14785849209 -0.63473133515 1.85636616097
#> 10477 0.68044685825 0.21377973724 -0.14843312038
#> 10478 -3.86144636512 -0.25456306575 -1.30978059508
#> 10479 0.65612765921 -0.10322216729 0.82046977016
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#> 10481 -1.01243414440 -1.57081973531 -1.63445152830
#> 10482 1.22049278839 0.15599269392 0.25314499864
#> 10483 -0.57197331746 -1.50848445666 -2.35661933394
#> 10484 0.99703406362 0.07118471761 -0.44662111664
#> 10485 -0.32812004963 -1.32553111148 -0.09221951862
#> 10486 0.69321044744 -0.20695597044 0.61110021827
#> 10487 0.77590169429 -0.31468433928 0.63518448020
#> 10488 0.89909280164 0.16200076328 -0.21408141514
#> 10489 1.33528385980 -0.12061156250 -0.17227518037
#> 10490 -1.77024245649 -2.60554398981 -1.81489413348
#> 10491 -0.02558279438 -0.91136913717 -0.16790832867
#> 10492 -0.10611744539 -0.29515892496 -0.26740629073
#> 10493 1.23370076596 0.31849460178 -0.55733657088
#> 10494 -2.20932650290 -1.40845748119 1.02411487578
#> 10495 0.81490692163 0.13658194177 0.14673809999
#> 10496 0.09837364642 -0.41380858740 0.50941351614
#> 10497 -0.57723051699 -0.43331571217 -1.32848655693
#> 10498 -0.70462691010 -0.25743231832 1.66299679520
#> 10499 -1.98814175944 -0.84357286885 -0.88301895062
#> 10500 0.78639160024 -0.11271566240 0.48551941133
#> 10501 -1.11169601453 -1.11661033449 -0.21074423154
#> 10502 -0.35315579878 -1.22954455981 -0.28335350057
#> 10503 1.60069939822 0.28126785026 -0.34618802237
#> 10504 0.55760228456 -0.14183502348 -1.00505363441
#> 10505 -0.52297729318 -0.53421475810 0.85567085018
#> 10506 1.18644218324 0.33064289473 0.06056316726
#> 10507 0.14834088178 -0.59509153082 0.28635071478
#> 10508 0.69466510508 -0.35369157824 -0.09128828499
#> 10509 -0.75940887968 0.39903221062 0.50986868363
#> 10510 -1.98706227481 2.27468741556 -0.55341617059
#> 10511 0.95432411208 0.17822699035 0.48533057107
#> 10512 -1.81724220670 -2.63045193486 -0.77341309955
#> 10513 0.07538479893 -0.51544898179 0.83030292635
#> 10514 0.81630335641 -0.38228209236 -0.87284656940
#> 10515 0.21165554200 -0.78534002159 -0.37927898223
#> 10516 -0.46092400238 -1.00883325881 -0.75477349991
#> 10517 -0.90090699633 -0.43148634516 -0.34438851664
#> 10518 -0.77026028598 -0.12973892544 -0.94055674134
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#> 10520 -0.84606831337 -1.03891895481 0.02020199201
#> 10521 -1.17528121092 1.98003931534 -1.52355062161
#> 10522 0.71638625596 0.79269399250 0.04484874987
#> 10523 0.80242064755 1.60417896398 -0.95246062792
#> 10524 -1.40149307659 -1.99092424773 0.39133504874
#> 10525 0.69058007338 -0.52136228236 0.07345567585
#> 10526 -0.81074748518 -1.53527153039 -0.51760479700
#> 10527 0.16722839798 -0.17092588654 1.28598063594
#> 10528 -0.26725400429 -0.53091948043 -0.09411420282
#> 10529 0.14259730944 -0.59504672549 0.05666441983
#> 10530 -0.28907942584 -0.44911614691 0.42844240105
#> 10531 -2.17010425336 2.06688617547 -0.17196610242
#> 10532 -3.10915819504 1.06179421843 1.46836179168
#> 10533 1.78630211561 0.36588642863 -0.54463767677
#> 10534 0.62753349882 -0.06351921029 0.37545979450
#> 10535 0.62752002504 -0.70040231259 -0.52825264924
#> 10536 -0.39114919007 -1.02178408041 -1.57238737779
#> 10537 1.32923775482 -0.03833670210 0.06424188460
#> 10538 1.18204644420 0.12106225450 0.21277131314
#> 10539 -0.21997265493 -0.13052255705 1.21152466853
#> 10540 1.46184595985 0.06693283295 0.19903618586
#> 10541 0.90691285988 -0.30841166694 0.30544395513
#> 10542 0.96017199880 0.07945719144 -0.19042703465
#> 10543 0.20640437571 -1.07688754620 -1.33740032378
#> 10544 1.27009895779 0.43310868597 -0.06094924620
#> 10545 1.60691064905 0.63728193536 -0.60561650807
#> 10546 0.57957095939 -0.28440126531 0.49021208548
#> 10547 -1.09302345755 0.81083620533 -1.79629637896
#> 10548 1.85294341068 0.18756855693 -1.04449376905
#> 10549 1.51598243491 0.05848731461 0.02185952727
#> 10550 1.55155112894 0.04993725420 -0.16989843025
#> 10551 1.05058719097 -0.16128601198 0.46118676772
#> 10552 0.51099075318 -0.08997048863 0.64508894661
#> 10553 1.31339244818 -0.01411136525 0.27605368189
#> 10554 0.17650657927 -0.22936673200 1.07333015154
#> 10555 0.77605483192 -0.07263553736 0.48917464506
#> 10556 -1.98941503812 -1.80923107679 -0.51587687096
#> 10557 1.20393936300 0.56628949975 -0.35638748416
#> 10558 -1.64941355543 1.66338509266 0.55900212112
#> 10559 0.94452641985 -0.27978375983 -0.09093070957
#> 10560 -0.08697394988 0.65293772135 0.17726803110
#> 10561 0.26736728269 -0.38704315070 1.08394291129
#> 10562 -0.07880502708 -0.94890155199 -0.28615539465
#> 10563 0.58957268203 -0.12408901141 0.97931725576
#> 10564 2.63164322535 0.49199838224 -1.58218602036
#> 10565 0.02507555334 0.11862530445 1.04238537293
#> 10566 -1.56229236832 2.22457997853 -0.08364953665
#> 10567 -1.09409695183 -0.43579829113 0.21985538857
#> 10568 1.44762495486 0.31494422956 -0.23914377596
#> 10569 1.21349166932 -0.03786728475 -0.02632482095
#> 10570 -0.64832065197 1.31625371250 0.15555314095
#> 10571 0.20932673713 -0.04417879621 0.05340479392
#> 10572 1.57881533564 0.12448618856 -0.12666738204
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#> 10575 -1.21068309972 -1.58977522547 0.87564522145
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#> 10577 -2.14381438993 -0.65070729111 -0.01441816219
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#> 10579 1.53247591239 0.53349273869 -0.47726540660
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#> 10584 0.27240485692 -0.37157216408 1.09242829881
#> 10585 -0.93293432572 0.54885763727 -0.43710490442
#> 10586 0.43167133100 -0.13098481647 0.13665347499
#> 10587 0.93227726754 0.00919395627 -0.08130268182
#> 10588 1.63445020871 0.04426059997 -0.32372316435
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#> 10595 1.30003529899 0.41005566981 -0.53229805954
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#> 10610 1.49946203557 0.29856230215 -0.13779544701
#> 10611 0.72991194316 1.04282170434 -0.30543571062
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#> 10613 0.95684405063 0.33114263586 -0.98770913795
#> 10614 -2.75889010914 2.09017184035 0.54052107977
#> 10615 0.95765324771 0.44659028486 0.13240414529
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#> 10660 0.91987136588 0.98767698254 -0.60699538475
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#> 10663 -1.73924572741 1.50510429556 -1.66247926022
#> 10664 0.37055393272 -0.46856649053 1.14089402294
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#> 10669 1.40106482426 0.25054445528 0.00271812094
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#> 10680 0.18458044292 0.01902529671 0.21430716643
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#> 10688 1.51221452421 0.06357933975 0.02040031370
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#> 10701 1.42279390282 -0.08796184117 -0.31124527589
#> 10702 1.28721577628 0.25625257052 -0.09940816664
#> 10703 1.32025341534 0.44416287695 -0.51818176302
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#> 10706 -1.30074091174 0.39212023103 2.18933151329
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#> 10708 -3.24230281746 2.01343473213 1.14336422455
#> 10709 -1.92983420082 1.13629083548 -1.05958865358
#> 10710 0.40665511860 -0.34394430183 -1.02086586902
#> 10711 1.40045527956 0.27640987587 -0.22187944670
#> 10712 0.38738226237 0.58115009228 -0.70926887922
#> 10713 1.08406415092 -0.07062636406 0.51401176628
#> 10714 1.32996483952 -0.20757835260 -0.41907468175
#> 10715 1.55558614527 0.22271512838 -0.11606004269
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#> 10720 0.28287158983 -0.24159566756 0.05313514575
#> 10721 1.60056057075 0.13965698798 -0.10517708672
#> 10722 0.99617746310 0.29465446607 0.26962283566
#> 10723 1.01895324231 0.45817738936 -0.31593786917
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#> 10729 -1.69779885841 2.60735785981 0.42220919301
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#> 10731 1.52850096509 0.13068497373 0.05284549307
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#> 10733 -1.12103285391 0.42386089686 0.88513527454
#> 10734 -1.56126112876 -1.04773153125 -1.19421419218
#> 10735 0.73564710046 0.03321360366 0.48855505689
#> 10736 1.62191716865 0.31517697620 -0.25408396738
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#> 10742 1.51702526295 0.26571307016 -0.19919791342
#> 10743 0.92294933524 0.51354077559 0.12484524459
#> 10744 0.86834560088 0.47593899135 0.07102631016
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#> 10748 0.02461391991 -0.01442398864 1.00299979613
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#> 10756 0.19795398011 -0.71934672339 0.71495781667
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#> 10759 1.23308413402 -0.11617009072 -0.25106126764
#> 10760 0.48192665208 -0.28394185578 -0.02041928657
#> 10761 -2.06002716994 -0.59074761810 -0.14829554364
#> 10762 0.42883367182 0.40160556921 0.37127651684
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#> 10764 0.28658085630 -0.74417982923 -0.08694935744
#> 10765 -0.51100999651 -0.95904293100 0.31140019976
#> 10766 -1.62179436668 -1.43097012253 -1.13693265922
#> 10767 -2.79290266524 -0.23040606175 1.06443699387
#> 10768 1.52471442478 0.29387473272 -0.77075207648
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#> 10772 0.10828103998 0.91474019705 -0.46142724852
#> 10773 -1.86862116283 2.39321695310 0.44265966590
#> 10774 0.51932759434 0.03205470832 0.53582002115
#> 10775 0.50817900335 0.22322157643 0.15828693516
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#> 10777 0.11277533387 -1.33433809693 -1.76893851661
#> 10778 0.13385260941 -0.28060561915 1.66190344822
#> 10779 0.80701393029 -0.37990241782 -0.51071216548
#> 10780 1.30238023335 -0.09842384387 -0.19155236334
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#> 10783 -1.29281686116 0.16306643661 0.45690127609
#> 10784 1.15319462368 0.24498686153 -0.49039276003
#> 10785 0.87897710444 0.11518879313 0.40779558847
#> 10786 -0.58982574025 1.46192085089 0.08601700878
#> 10787 -0.28294203762 2.17991142559 -0.76564609865
#> 10788 0.99278856566 0.01415996551 -0.61826615801
#> 10789 1.05037927905 0.11045503923 -0.17123468000
#> 10790 -3.22499705935 2.79051055481 1.45845089042
#> 10791 0.58856348752 0.57226788891 0.31427591930
#> 10792 -2.03717208872 2.30578658766 -1.50951378234
#> 10793 -5.57633993512 0.44701888692 -0.70203287692
#> 10794 -0.68746371287 -0.43873576802 1.84585650923
#> 10795 0.17743858956 0.32089862483 0.56974131105
#> 10796 1.50884274268 0.01388054688 -0.27947349332
#> 10797 0.48766039920 -0.23917422009 1.29994601880
#> 10798 0.68328587991 0.42729304432 -0.15379480379
#> 10799 -1.08757533364 0.17097592336 1.48855299021
#> 10800 -0.16145031362 2.71613925978 -1.01293994052
#> 10801 0.05931973159 -0.00350838046 0.16490421221
#> 10802 -0.80945797641 -0.12467560049 0.46863491158
#> 10803 0.47221317139 -0.22625715819 -0.01111213164
#> 10804 -2.18048544201 0.52321702882 2.04544074173
#> 10805 -1.34803726302 -0.74191720904 1.88518172825
#> 10806 -2.02479793832 3.08946566051 -0.56113402730
#> 10807 -2.12661020971 1.70690785204 -0.82930458043
#> 10808 0.03667453765 0.80685481914 0.38484064193
#> 10809 1.34238370525 -0.07673716546 -0.15384287606
#> 10810 -0.81731530216 -0.52022103501 0.41199376752
#> 10811 1.07743917614 0.27134202073 0.17487343228
#> 10812 -0.65595796762 1.39146920527 0.23065238835
#> 10813 0.39943716087 0.69253951905 0.41846680415
#> 10814 1.30738763791 0.32846058314 -0.34507631660
#> 10815 -0.66045566188 1.59360143154 0.28641385268
#> 10816 -1.65572615100 2.64036596837 -0.90341179416
#> 10817 0.11671254299 -0.23007449255 1.45868392224
#> 10818 1.31161593099 0.08960459097 -0.12916542114
#> 10819 0.30902649364 -0.17466155783 0.02773234344
#> 10820 1.22470325647 -0.04516756294 0.41456712387
#> 10821 -0.20352920199 1.48576452437 -0.24991486884
#> 10822 0.99874017972 0.25903556101 -0.10753213357
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#> 10827 0.87634238980 0.05249662589 0.60446665785
#> 10828 0.07455110701 0.16315740820 1.09421829669
#> 10829 0.95050260346 -0.35305258365 -0.32486106671
#> 10830 -0.97441502555 1.89282063625 -0.80588374674
#> 10831 -0.68784970262 -0.53843277327 2.46222021277
#> 10832 -0.30804630343 -0.45670622922 -0.47303016658
#> 10833 1.63654502175 0.11330578530 -0.08470678073
#> 10834 -2.31217805551 2.69586276244 0.83520427155
#> 10835 -1.52389720980 0.20052773649 -0.99665487281
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#> 10837 0.16115059893 0.63969580960 -0.00088922800
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#> 10839 1.55613406086 0.07913388427 -0.65752182013
#> 10840 -0.80830300010 0.99068729667 0.57955621204
#> 10841 1.36125705117 0.30710423754 -0.24359436488
#> 10842 1.39253774090 0.30531426591 -0.06801376502
#> 10843 -1.37555995057 1.75128419379 -0.22772852200
#> 10844 -0.45782939863 0.49477184391 0.70875103335
#> 10845 0.57311727139 -0.38702025445 0.88930333476
#> 10846 -3.68039529902 2.14382001116 -0.18179124194
#> 10847 0.14018371604 -0.61155946428 0.48417694918
#> 10848 -1.30305016524 0.88233725387 -1.29426576152
#> 10849 -2.26040396851 1.17166662109 0.16796604148
#> 10850 1.62867306758 0.18632489652 -0.06945887750
#> 10851 1.34250753629 0.35976112059 -0.02571937871
#> 10852 1.02770427028 0.40741675338 0.11027878586
#> 10853 -2.65262161560 -0.46930223207 0.29143270695
#> 10854 0.27213796282 -0.24217556808 1.15624616885
#> 10855 0.14183097235 -0.07363871813 1.51173620580
#> 10856 0.68687393103 -0.22645451460 -0.55985304123
#> 10857 0.65031981145 0.78073582894 -0.29308625500
#> 10858 -0.42761943041 1.00598565942 -0.57196820784
#> 10859 1.87280210304 0.32007865894 -0.55581865454
#> 10860 1.04760944250 0.10139331800 -0.61525104053
#> 10861 1.66681396242 0.13341054942 -0.55486801284
#> 10862 -1.33192264335 -1.69781783085 0.53676378526
#> 10863 0.73852220704 0.48127921135 -0.31179813435
#> 10864 -0.52191485465 -1.12710058993 1.11685514907
#> 10865 -1.20273457334 -2.10282591058 -1.64290460647
#> 10866 1.31268854657 0.25020690126 -0.29834324537
#> 10867 -0.97110286565 2.37035409300 -0.38057127536
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#> 10890 1.39348711143 0.05392424298 -0.35812694666
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#> 11130 0.41200090470 0.23725092722 0.51189825187
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#> 11139 1.84627200247 0.17344770524 -0.55408523508
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#> 11159 -0.16155280817 0.72667074273 -1.31388357466
#> 11160 1.87107045482 0.15998558492 -0.53860042134
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#> 11756 1.48625188811 0.09623543313 -0.05589824485
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#> 11758 0.95013241097 -0.15416311427 0.60167817050
#> 11759 -1.18658402976 -1.27316610299 2.07301096302
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#> 11761 1.44635708034 -0.08638727262 -0.29231817207
#> 11762 0.04914514631 -0.14287081346 0.49075698287
#> 11763 0.41637001322 -0.45738006089 -0.62244102943
#> 11764 -1.15057073067 0.20320553033 -0.28366943569
#> 11765 1.70278652851 -0.15736413228 -1.19780302712
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#> 11768 0.42669394875 0.46012669321 -0.27971168429
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#> 11773 -1.25742109388 -0.58701631976 2.58746571589
#> 11774 0.58977264596 0.69779811862 -0.35730740198
#> 11775 1.14424151417 -0.06904293675 -0.08973661208
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#> 11777 -2.10018629916 1.33706887141 -0.48282535815
#> 11778 1.53897194190 0.37380144901 -0.30188921029
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#> 11780 0.37064202746 -0.45977399987 1.14354192628
#> 11781 0.11020880858 0.73410651733 -0.44736594505
#> 11782 1.18609044880 0.37611241762 -0.36062328554
#> 11783 1.05844898217 0.63893253805 -0.16643984216
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#> 11842 1.18888107210 -0.02814960775 0.32595541307
#> 11843 0.44856355265 -0.26829332053 0.60939627631
#> 11844 1.26788626903 0.22057783069 0.09210433813
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#> 11853 -1.02485147884 -0.42938484153 2.66436018595
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#> 11859 0.07046143629 0.32405247128 0.92108091367
#> 11860 1.10004124110 -0.11004119028 0.51497170363
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#> 11862 0.95556072115 0.54947061556 0.09540840308
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#> 11865 0.03040326203 -0.05645232274 0.71255487317
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#> 11868 -0.68079450306 -0.48696920217 0.32360010300
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#> 11875 -3.30347898383 0.40715716755 -1.11269196516
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#> 11878 -1.56321985762 -0.12289415635 2.33236273581
#> 11879 -0.04439115256 -1.50880628521 -1.66061942902
#> 11880 0.44795735963 -0.00622764469 0.90290959484
#> 11881 1.60621857075 0.32748081211 -0.26277741158
#> 11882 1.21557125349 -0.19217391402 -0.06995382353
#> 11883 -0.35630139672 0.63906484119 1.11328974217
#> 11884 -3.26300657865 0.78195256230 -1.82650408346
#> 11885 0.08874666496 0.08217626689 1.29871418509
#> 11886 0.70549523954 -0.38556690545 0.12497319538
#> 11887 -1.06503859423 -1.31836451114 1.22097769952
#> 11888 1.26028049950 0.16905941197 0.28815714084
#> 11889 1.65164011483 0.19926070953 -0.26479023097
#> 11890 -0.71574920996 0.14243901785 1.55444086187
#> 11891 0.68769970611 -0.64474405351 -0.46034969492
#> 11892 0.77110841827 -0.02044021127 -0.80213409457
#> 11893 1.70376669708 0.24021016357 -0.21193063296
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#> 11896 1.11350301596 -0.27234941947 -1.32460437480
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#> 11898 0.45079694471 0.88735580414 -0.63529387803
#> 11899 0.85926826586 0.22589954407 0.20769901661
#> 11900 -2.13369374221 -2.13777083865 -0.43744606376
#> 11901 0.77943137924 0.19507953034 0.07837787249
#> 11902 0.50201885017 -0.56023665527 0.06588023942
#> 11903 -1.31479953090 -2.10417611985 -0.22531552129
#> 11904 0.62094599434 1.17194078253 -0.57007936571
#> 11905 -2.68628094252 -1.93065146605 -0.44621788389
#> 11906 0.20771318375 0.36703923225 -0.97839704915
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#> 11910 0.39751407946 0.34516684142 -0.82617173768
#> 11911 -0.47270081654 -0.58704059589 1.53094677281
#> 11912 0.71124819226 0.41538102301 0.36440229313
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#> 11914 -0.29326268173 1.52927006357 -0.37872954501
#> 11915 1.27959169150 -0.12496820775 -0.00007255920
#> 11916 0.07818228316 -0.45547872265 1.34986293431
#> 11917 0.02758196432 1.24350128419 0.07153798345
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#> 11922 0.82173446466 -0.47050456564 -0.30862675394
#> 11923 0.40031480034 -0.63602527453 -0.67908387826
#> 11924 1.25288140175 -0.08355779084 -0.50863652750
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#> 11926 0.35324043980 0.22569899231 0.61405490868
#> 11927 1.37875866548 -0.09024879430 -0.12930065621
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#> 11933 0.96277380183 -0.49275364143 -0.57334314133
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#> 11935 -0.93095203187 0.54084422582 1.23222829498
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#> 11949 1.41561311830 0.02093699776 0.14931509505
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#> 11952 -0.13485716992 -1.39613923720 -1.11262777753
#> 11953 -1.50900290891 -1.05608080468 -2.02420529280
#> 11954 0.45948313016 -0.65312074461 -0.57246088048
#> 11955 0.68172270361 1.12295694048 -0.53681884493
#> 11956 -0.34196390087 -0.03965800119 1.79394792841
#> 11957 -0.22432339676 0.33764913954 -1.54270620184
#> 11958 0.24643939707 1.25902662990 -0.18664799801
#> 11959 0.84218293599 -0.17642988467 0.94479985863
#> 11960 0.16591702522 -0.57776261790 -1.65698034113
#> 11961 0.99061997213 0.21044024940 0.08897488733
#> 11962 0.96629443454 -0.01985392080 -0.20459316349
#> 11963 -0.32232176423 -0.63725122456 1.86396401420
#> 11964 -3.15061086682 2.08348410490 1.52910567742
#> 11965 0.62014900949 0.00741743463 -0.54354655549
#> 11966 -0.37923385871 -0.23890682502 0.19947309743
#> 11967 1.39737269836 -0.03823018013 -0.09945653511
#> 11968 -1.04153834619 -2.20187900940 -1.77681980458
#> 11969 0.21190076939 -1.28540901196 -1.61137673590
#> 11970 -0.01428091643 0.03027883884 0.11713699343
#> 11971 0.58837009585 0.06457126005 0.16521519055
#> 11972 0.39741491924 0.06207635657 0.88333582550
#> 11973 0.50518162717 0.30127885929 0.82082250500
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#> 11976 -3.92859026206 1.20806542749 -1.95349076469
#> 11977 1.01682501587 0.42677736725 0.17296288746
#> 11978 0.98774388266 0.26498461940 -0.11440449925
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#> 11980 -1.02453780304 -1.02990853971 0.53435798948
#> 11981 -1.10670273002 -0.73321653751 -2.48274003373
#> 11982 0.68006805851 0.04070136573 0.16454205933
#> 11983 0.38062780071 -0.45767375980 1.15198328235
#> 11984 -0.32315680788 -0.88329218587 1.34412168467
#> 11985 1.09613012649 0.67915044092 -0.19064606525
#> 11986 -1.42351482351 -0.51384796694 2.54429803369
#> 11987 0.99863497128 0.01921651545 0.41308728793
#> 11988 -1.24014151775 2.53342824027 -0.54357312777
#> 11989 -0.94328389948 -0.65654991716 2.01028151724
#> 11990 0.43897124841 -0.05269982564 -0.20338078150
#> 11991 -0.39924370211 -1.05622388599 -0.35162149155
#> 11992 0.35177162511 -0.80424783592 -0.91335628121
#> 11993 1.23308413402 -0.11617009072 -0.25106126764
#> 11994 0.72251367218 -0.29319233435 0.81677424339
#> 11995 0.87834053646 0.11604906303 0.40754906229
#> 11996 -0.87428384815 1.82937764130 -0.52890043539
#> 11997 0.40711300680 -0.24415782542 -0.50162536944
#> 11998 -0.87239330338 0.52909300357 0.46520004628
#> 11999 -1.03257914776 -1.89704303569 -1.46326589344
#> 12000 0.75523260398 -0.19412776708 -0.93104942412
#> 12001 1.33081790543 0.72804114294 -0.57823292700
#> 12002 0.02036905345 -0.97452959831 0.28382382676
#> 12003 -0.21209362287 -0.55004115894 0.66040562814
#> 12004 1.00922555130 0.08202734987 -0.21676348693
#> 12005 1.25368941763 0.50207044971 -0.05358185387
#> 12006 -1.53814933659 -1.24183495916 0.29725679315
#> 12007 -1.47124118133 1.26432307091 -0.94531474909
#> 12008 1.47285306873 0.46315573347 -0.32749532590
#> 12009 -2.14138869960 0.11357494344 0.64589653702
#> 12010 0.00850513439 -0.81952195901 -1.85124497604
#> 12011 -3.47233548253 1.60325638050 1.12544714553
#> 12012 0.02230282375 -0.00308033348 -0.08110212180
#> 12013 1.17790666011 -0.16519621474 0.12556657328
#> 12014 -1.83551532287 0.03751549969 -1.15635779718
#> 12015 -0.49798032449 0.95327450455 -0.19502122807
#> 12016 -1.44720715043 -1.38232497201 -1.20297323778
#> 12017 0.71734666847 0.06393766107 -0.60239256054
#> 12018 -0.02911674069 0.79525543693 -0.16989708951
#> 12019 1.01499122200 -0.32572367232 -0.76608719053
#> 12020 -0.73710982981 -0.50617356321 1.28193021326
#> 12021 1.89225729583 0.21135476899 -0.57246169121
#> 12022 1.69934450152 0.16616577213 -0.22982219983
#> 12023 -0.91666618773 0.32194323380 0.52238508170
#> 12024 1.70005467039 0.11155351286 -0.25257500232
#> 12025 -0.56398157133 1.33534148106 -0.86488184289
#> 12026 1.66966436702 0.19320195050 -0.90381336263
#> 12027 0.42940607354 -0.13100924990 0.63464941600
#> 12028 1.25449248934 0.11004486080 0.26631219632
#> 12029 -1.36929305928 2.63705509861 -0.46279607983
#> 12030 -0.80089669596 -1.08002109270 -0.82494905107
#> 12031 0.74201909139 -0.14026117987 0.44266771171
#> 12032 0.47632719068 -0.32692486702 1.04820359258
#> 12033 -0.59630447377 -0.96216278747 1.04140548178
#> 12034 0.32143334118 -0.35423078569 1.57018292750
#> 12035 0.83776174581 0.22048529736 0.62350460549
#> 12036 1.57928424377 0.05256014897 -0.14739607852
#> 12037 -0.27401341163 -1.01507813091 -0.01308399453
#> 12038 1.28716935174 0.26522685306 -0.09681235911
#> 12039 -1.77311542384 0.39713236598 -3.39034077810
#> 12040 -0.65361387331 1.73014498876 -0.09591524076
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#> 12563 1.29062131793 -0.02015182038 -0.17780977885
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#> 12606 0.60128812078 0.80448745978 -0.47613599113
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#> 12612 1.23455030854 0.34563015062 0.03712780886
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#> 12620 1.15024432058 0.12408669086 -0.02057320925
#> 12621 2.10465566408 0.42626883742 -0.92882041571
#> 12622 0.46004793680 -0.31829209352 1.03797838219
#> 12623 0.78539764660 -0.14116115316 0.41086624776
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#> 12626 -1.94537467805 2.71469210238 0.25967797636
#> 12627 -2.43443540352 0.66864150848 0.07927523786
#> 12628 1.24135100603 0.08324678993 0.24815390974
#> 12629 0.71449733391 -0.79944311101 -1.07498160001
#> 12630 0.10201488708 1.61045751909 -0.69652860491
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#> 12632 0.48998699412 -0.13569281042 -0.83911521309
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#> 12634 -1.17911703050 -0.39843827551 2.56244990567
#> 12635 -0.91787032772 0.13049307119 0.31265125001
#> 12636 0.64714695954 -0.03480108004 -0.46247235899
#> 12637 -0.35234741974 -0.96250520442 1.08088942529
#> 12638 1.21942449748 0.29826967922 -0.35733261212
#> 12639 -0.46616504408 1.87878362280 -0.41171089662
#> 12640 1.29597172969 -0.16551139204 -0.21625139536
#> 12641 -0.95785723825 1.08759832727 -0.52930445418
#> 12642 0.50308921232 0.45942112314 0.21419568088
#> 12643 -1.76074263344 -2.30567971721 0.23461395908
#> 12644 1.38106556285 -0.00929052157 -0.32087110758
#> 12645 -0.18118174415 2.06340683009 -0.35135678089
#> 12646 0.71211113451 -0.24067628332 1.04114902937
#> 12647 1.42687529468 0.08571855964 0.11161026134
#> 12648 0.66414275335 0.40551996181 0.32459584585
#> 12649 -0.92422475561 0.06914443431 -0.58454082610
#> 12650 -0.12142445872 0.00247625665 0.89351376228
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#> 12653 0.62953939108 -0.42163147972 -0.16225104052
#> 12654 0.13915595758 -0.31801013341 0.35234698844
#> 12655 1.13659505447 0.36854812710 -0.25003646889
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#> 12657 -0.53560782202 -0.94256448845 1.59449692049
#> 12658 0.14381714623 0.00463153963 0.16797696286
#> 12659 1.22780809734 0.34157679967 0.09618650633
#> 12660 -0.49053217649 1.12510339262 0.93353302554
#> 12661 0.93305854730 -0.32241330873 -0.17795199005
#> 12662 1.13735660394 -0.22267485142 -0.63997101783
#> 12663 -0.33815976314 -1.12400158096 -1.34371938252
#> 12664 0.43427680844 -0.45347498200 -0.10748472547
#> 12665 0.48902944697 -0.21158539427 0.65773999392
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#> 12667 -0.77403385324 2.46357882257 -0.69857333946
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#> 12672 0.01390887929 -0.12647407931 1.17886970716
#> 12673 -2.46071308854 -1.58715873092 -1.62303814600
#> 12674 0.10920298747 0.17428412945 0.47326596205
#> 12675 -1.01732328374 -1.86795545973 -0.35716119187
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#> 12679 -0.96131368433 0.22608112299 1.83251542054
#> 12680 0.20693238878 0.89499752694 0.05188998380
#> 12681 -1.42062195195 1.14891192725 0.65031714955
#> 12682 0.53347685873 0.21895890144 0.16748055002
#> 12683 0.46445718119 0.27474072004 0.28134680056
#> 12684 0.18332415278 1.91870162432 -0.69399406049
#> 12685 1.08911438838 -0.18895298438 -0.38523059270
#> 12686 0.87190292532 -0.11527889770 0.55177853134
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#> 12688 -1.19755219104 -0.01670271859 2.21581723113
#> 12689 1.19623824806 0.00889578414 0.40811749476
#> 12690 1.45452278509 0.14154503730 -0.00194219262
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#> 12692 1.37760665717 -0.00375823267 -0.82173731435
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#> 12694 1.13491487757 0.03538104221 -0.71778829081
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#> 12696 0.14146874679 -0.13314040244 1.06495505156
#> 12697 1.33249107964 -0.02772191162 -0.14721888583
#> 12698 0.82771511294 0.26154765443 -0.74059734905
#> 12699 0.92411963864 -0.42375286644 -0.14914911488
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#> 12701 -0.06312432969 -0.00220758961 1.15495044593
#> 12702 0.90558612471 -0.25918679071 -0.39364137781
#> 12703 0.84319895191 -0.51994444179 -0.45789950230
#> 12704 0.79697516329 0.30948635927 0.40598605468
#> 12705 0.09480023642 -0.31969726681 -1.05117984690
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#> 12708 -2.27004837308 1.67297837773 -0.73453789663
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#> 12710 0.54299540356 0.02446899163 -0.31635199287
#> 12711 0.26063227342 -1.36764710144 -1.87996370613
#> 12712 0.63863897314 -0.87234587886 -0.93868702477
#> 12713 1.06364875856 0.16337054684 0.28399066969
#> 12714 0.49538274850 0.49978577756 0.58871169876
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#> 12716 -1.20697215724 -1.19572463677 0.27722783314
#> 12717 0.06601210927 1.21587039699 0.02801842968
#> 12718 1.06874147969 0.08423060031 -0.10394653422
#> 12719 0.57664248953 0.11558987509 0.82235956826
#> 12720 0.46039083493 -0.71765440652 0.05261837728
#> 12721 0.41580709945 0.32383187843 0.69186796883
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#> 12723 -1.22661383623 -0.56277844799 2.25000077298
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#> 12732 0.93726601715 0.05451320345 -0.28122454992
#> 12733 1.47009781778 0.01578600957 -0.02662238049
#> 12734 0.74977644546 0.11341100246 0.53253047366
#> 12735 1.34518168392 0.25499880167 -1.20549998681
#> 12736 0.17599413045 -0.19237475229 0.20094091183
#> 12737 1.19348949586 -0.02721739421 -0.32153055232
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#> 12739 0.09865738462 0.16497132817 -0.25463144154
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#> 12742 0.38645804173 -0.30795676548 0.98334106913
#> 12743 0.26629853825 1.23995937977 -0.39380147031
#> 12744 -0.01166122374 -0.28950480579 1.32813781939
#> 12745 1.47940906784 0.24080018115 -0.23598287065
#> 12746 0.76135248800 -0.17530023796 0.44754124558
#> 12747 0.04578032625 1.58756912068 -0.24753177330
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#> 12749 -0.65871965013 -0.33141016681 -0.27683828281
#> 12750 1.46462565264 0.05847753182 -0.07323348650
#> 12751 0.91614969274 0.46644898617 -0.11141907035
#> 12752 -0.41828838534 1.30022678954 -0.26123040345
#> 12753 -1.73564890931 -0.27067207869 0.56849874508
#> 12754 0.21163765354 -0.93100840417 -0.25973886523
#> 12755 1.28032201849 0.63462227485 -0.86232768400
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#> 12757 -0.18956228475 0.73642748845 0.41572699826
#> 12758 0.01503933654 -1.11739376085 -1.71636768793
#> 12759 0.09485708518 -0.18626765204 0.57339630735
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#> 12761 -2.11329758039 2.14479363127 -1.40734059654
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#> 12763 0.33957787667 0.98227194434 0.23941402323
#> 12764 -0.01541841192 -1.26889104761 -1.35042338763
#> 12765 0.41280802085 -0.14678594451 0.62169457981
#> 12766 0.05876188843 -0.62762282152 0.41565931869
#> 12767 0.41021516957 1.12238348009 0.11874052373
#> 12768 -1.06191193137 -0.57274533064 2.74486214646
#> 12769 0.81884655268 1.06240681037 -0.44712134187
#> 12770 1.87291123476 0.15749792040 -0.53788753527
#> 12771 1.42662197689 0.40512504586 -0.44627600063
#> 12772 -0.74299573787 -0.86735714676 2.25699929003
#> 12773 0.15180886503 -0.79207913628 -0.48221530211
#> 12774 1.49403724481 -0.10462134353 -0.47742533296
#> 12775 -1.12290968521 -0.75274852624 0.31586424976
#> 12776 -0.31294856812 0.76294897780 -0.55338991834
#> 12777 1.71262642525 0.31879406182 -0.46459346380
#> 12778 -1.16052462529 -1.48837517617 -0.14092508037
#> 12779 -0.00444043199 -0.19156530733 0.28654638611
#> 12780 0.46317426471 0.54478455985 0.15154225059
#> 12781 -2.55738643469 2.03609452794 -1.93882502610
#> 12782 -0.78118741081 -0.37357479314 0.26619363712
#> 12783 0.31881893873 -0.42099599339 -0.83199411219
#> 12784 -3.58814495480 -0.19344927199 -1.72905391163
#> 12785 -0.27460990455 -0.92402351051 -0.14964633257
#> 12786 -0.46910740112 -1.39261366583 -1.52512131577
#> 12787 1.48337614740 0.12483092154 0.01576642866
#> 12788 -1.64016114721 1.61703662701 -0.47004004659
#> 12789 -0.18405354208 -0.55826127572 1.12063494946
#> 12790 0.46922305052 0.29105535989 -0.36150406381
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#> 12792 -1.69640234698 3.11263008257 -1.38261067096
#> 12793 -1.86487543685 0.30694036571 1.35354800922
#> 12794 0.41932887769 0.51357743329 0.16444115135
#> 12795 0.47228094400 -0.08424051680 0.68196572735
#> 12796 1.06783924691 -0.14004304601 0.48093697190
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#> 12798 1.36118277945 0.65862677312 -0.35767338453
#> 12799 0.12367928895 -0.71111232246 -1.29494467633
#> 12800 0.15068550289 -0.30026816207 1.16954917281
#> 12801 0.02968992479 -0.14275724779 0.53508983255
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#> 12803 0.48101773583 1.86533759037 -0.91060560834
#> 12804 0.86211822718 0.26156619229 0.00326994701
#> 12805 -1.23632079078 0.08270312196 -2.12215524579
#> 12806 -2.39852269172 -0.76070438649 -0.96318464773
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#> 12809 -0.81674801855 -1.18139482719 1.52125531250
#> 12810 0.38974245994 -0.47747362628 -0.80079371732
#> 12811 -0.63705403173 0.85164955802 -1.43272966337
#> 12812 1.44380952722 -0.09074206220 -0.29559183619
#> 12813 0.62493772491 -0.32443039849 -0.35447131384
#> 12814 0.52904352648 0.49702632016 -0.47133736184
#> 12815 0.68884082743 -0.35716238347 -0.16240156894
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#> 12817 -1.98814886536 0.37677084317 0.99477165879
#> 12818 -0.63250747885 0.88270044139 -0.83421974139
#> 12819 -0.32694134951 0.09334727278 0.04221142403
#> 12820 1.75246087078 0.42255713683 -0.62006673524
#> 12821 0.51591925585 0.17128688625 -0.72875519660
#> 12822 -1.40597869724 1.89158725031 0.22383239210
#> 12823 0.88243922953 0.22190430669 0.44180871109
#> 12824 1.41359889429 0.15897629030 -0.02889954131
#> 12825 -0.60289449981 0.53116208337 -0.63146627162
#> 12826 -1.34495208615 -2.11467913479 -0.25759817370
#> 12827 -1.02406414789 0.43634249660 0.32044507688
#> 12828 0.45610482764 0.58195567720 0.21331618963
#> 12829 0.53606570906 -0.29376038789 0.38784305406
#> 12830 0.70088501856 -0.18890599339 -0.25520546177
#> 12831 -0.76019641614 -1.40682629176 -0.88890738359
#> 12832 -3.22135476033 0.20785600474 0.84732126947
#> 12833 0.55984461094 0.47459427136 0.04599877760
#> 12834 0.10325596831 0.87728320961 0.45767405184
#> 12835 0.75106940225 1.72094540953 -0.74133042217
#> 12836 1.11118217336 0.53569129234 -0.43805118975
#> 12837 0.21555153564 -0.13878750810 1.11615175444
#> 12838 0.45418323402 -0.26368816112 0.18090366266
#> 12839 1.10337645458 -0.21326658631 -0.59830898437
#> 12840 -0.88222906795 0.70160590113 1.58798454915
#> 12841 0.03763840411 1.87404389635 -0.45254282915
#> 12842 1.79768805076 0.20044468775 -0.86689441029
#> 12843 1.27328728256 0.09277054816 -0.00668056844
#> 12844 -0.76763698896 1.08297336926 0.70402303577
#> 12845 0.69052393304 -0.34586723485 -0.09223860630
#> 12846 1.09794222265 0.19965990827 0.38703961963
#> 12847 0.16692562919 -0.44328982808 0.55916689048
#> 12848 0.28558366867 -0.36526844355 0.17708714140
#> 12849 0.29157593587 -0.67045001074 0.58554261860
#> 12850 -1.43367138138 -0.15919629229 0.18646880666
#> 12851 1.04107171876 0.13557515574 0.10655319342
#> 12852 1.58096510184 -0.01044811964 -0.38168300998
#> 12853 0.43449040931 -0.58018756016 -0.79585335152
#> 12854 0.91665330585 0.03907457661 -0.67062199129
#> 12855 1.02338936094 0.09825823388 0.51599842098
#> 12856 -0.20030936719 -0.44045449485 -0.66649014046
#> 12857 -1.78097287083 -1.17765722713 1.41810780663
#> 12858 -1.40936413668 -1.69575500107 -0.67107192351
#> 12859 1.50492781420 0.13522373445 -0.18141995803
#> 12860 0.41345559687 0.09520227050 -0.24552700947
#> 12861 -0.68839854701 -1.36784689831 0.04728415636
#> 12862 -0.28116403307 -1.04003508846 -1.05730343974
#> 12863 -1.05794624084 1.27172905448 -0.11271680337
#> 12864 -1.79201499024 -1.32919523056 -2.54321662869
#> 12865 -0.28377920492 0.00828251096 0.05108563759
#> 12866 0.91744463816 -0.10940443886 0.80631387315
#> 12867 0.70747456219 0.51182409874 0.38973217671
#> 12868 0.35670491069 0.38354537063 -0.20542764002
#> 12869 0.41649602878 0.67839738878 0.42768704545
#> 12870 -0.70561459409 -0.72978902815 -0.20889139393
#> 12871 0.03885408102 -0.72136411685 -0.93017762882
#> 12872 -0.26337024324 -0.39427451825 -1.13661021587
#> 12873 0.26693682066 -0.41881943182 0.64003830212
#> 12874 -2.22849274119 -2.58311470266 -0.43043451422
#> 12875 -0.35805815473 -1.08188444607 0.17290549580
#> 12876 -1.47936860390 2.14195423171 -0.69427154622
#> 12877 -1.82762199635 -1.30377938585 -0.16357459230
#> 12878 1.17717696016 0.04946454672 0.12242439675
#> 12879 0.29009428295 0.16865360930 0.61336992373
#> 12880 0.97669006244 -0.23965091831 0.38029260568
#> 12881 -1.28815196169 1.16597438126 -0.17931216776
#> 12882 0.94750294526 0.02974181127 -0.21493682786
#> 12883 -2.48928653559 2.08066750114 0.88469045621
#> 12884 1.46620338066 0.01436536722 -0.03009093435
#> 12885 -0.72214676267 -1.10720463677 0.52595879774
#> 12886 1.66635188036 0.58793992991 -0.63903867603
#> 12887 0.88731318708 -0.09823055421 0.56885511674
#> 12888 1.57933744724 -0.06230154455 -0.61529090222
#> 12889 0.05938862041 -0.85417742038 -0.73591675188
#> 12890 0.52901087611 -0.25341734482 0.24255478924
#> 12891 1.16220941267 0.19020022254 0.21750443416
#> 12892 -0.69576645805 -0.81735908675 2.37420619702
#> 12893 -1.12542098062 1.06406603294 -0.06970720758
#> 12894 -4.46296999494 -0.74949650108 -1.20318158876
#> 12895 -1.44847285318 -2.14206271731 -0.40671194394
#> 12896 -0.39866040651 -1.38553671776 -1.53337094618
#> 12897 -3.06527408381 1.90833213560 -1.07156263715
#> 12898 0.03491778497 0.14144696845 0.40542113114
#> 12899 -1.86580215954 2.38144868793 -0.86132444950
#> 12900 1.13182769390 0.04798819749 -0.06513906234
#> 12901 0.53909286382 -0.14344833554 -0.15153735766
#> 12902 1.50385391239 0.05259916841 0.01062800036
#> 12903 -0.25055657650 -0.16318757258 1.82934760180
#> 12904 -1.76690267485 -1.31793947608 0.96390577720
#> 12905 -2.35173131053 0.95480736174 0.72779798745
#> 12906 0.39598516766 -0.45831524246 -0.13891162411
#> 12907 1.03487106045 0.20129606804 -0.09615337208
#> 12908 0.86856309486 -0.21712010416 0.73641448829
#> 12909 0.75645471452 0.04886530138 0.22679695136
#> 12910 -2.29847298747 2.95711482990 0.70544678707
#> 12911 -0.02389581646 -1.29578505041 -0.71358403054
#> 12912 0.04210679051 1.21273273241 0.07389583673
#> 12913 -1.25011475454 -1.90302744656 0.31861947170
#> 12914 0.35457974522 -0.07753135707 1.25088153014
#> 12915 1.08922300807 -0.04507341284 -0.62559978040
#> 12916 0.74989469670 -0.16814370100 0.65778497998
#> 12917 1.10341262904 -0.34638254086 -0.42020041392
#> 12918 -0.06183460085 0.17961490152 -1.38263316812
#> 12919 1.24586667131 0.08022998007 -0.24897050699
#> 12920 0.38714534638 -0.94791972545 -0.72368882056
#> 12921 0.71809156392 -0.10405310559 0.21741327271
#> 12922 1.30631074791 0.05725597545 0.07431280509
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#> 14987 0.05861869099 -0.50500101927 1.24890273831
#> 14988 0.81483157000 -0.45120404816 -0.74262248141
#> 14989 1.12091331883 -0.14997134334 0.30249285717
#> 14990 0.73713880870 -0.31011506966 0.34044840010
#> 14991 -2.19499858733 -0.33354952703 1.12411278661
#> 14992 1.55621419679 -0.02824065803 -0.40629766280
#> 14993 -0.43265260324 -1.43079765760 -1.07350583600
#> 14994 1.14228753855 0.10881446715 -0.32175633625
#> 14995 -3.71383438315 0.19425386082 -2.73392259693
#> 14996 -0.55043216712 -1.96151496900 -1.74580902489
#> 14997 0.49667650043 -0.07429549058 0.92112380113
#> 14998 0.97179555606 0.37821114819 0.06231823699
#> 14999 0.02848329238 1.57365440297 -0.04804423157
#> 15000 -1.33928288282 2.22183256204 -0.712657320834.2 K-Means (Clustering)
4.2.1 Mencari K Optimal
RNGkind(sample.kind = "Rounding")
set.seed(100)
# Data yang akan di-cluster
data_to_cluster <- pc_keep
# Inisialisasi dataframe untuk menyimpan nilai WSS dan rasio BSS/TSS
cluster_results_df <- data.frame(n_cluster = numeric(),
wss = numeric(),
bss_tss_ratio = numeric())
# Loop untuk menguji jumlah klaster dari 1 hingga 10
for (n_cluster in 1:20) {
model_kmeans <- kmeans(data_to_cluster, centers = n_cluster)
wss <- model_kmeans$tot.withinss
bss_tss_ratio <- model_kmeans$betweenss / model_kmeans$totss
# Menyimpan nilai WSS dan rasio BSS/TSS dalam dataframe
cluster_results_df <- rbind(cluster_results_df, data.frame(n_cluster, wss, bss_tss_ratio))
}
# Menampilkan dataframe dengan hasil WSS dan rasio BSS/TSS untuk setiap jumlah klaster
print(cluster_results_df)#> n_cluster wss bss_tss_ratio
#> 1 1 45116.377 0.000000000000001612709
#> 2 2 31215.821 0.308104442517316168271
#> 3 3 23495.648 0.479221290953056378026
#> 4 4 17209.042 0.618563295633505427773
#> 5 5 15421.113 0.658192571733711595527
#> 6 6 13810.907 0.693882622048497710310
#> 7 7 11981.373 0.734434062964543388219
#> 8 8 10896.539 0.758479289565948344709
#> 9 9 10390.122 0.769703982140303111237
#> 10 10 9170.886 0.796728216246439080450
#> 11 11 8576.297 0.809907228927130629081
#> 12 12 8091.413 0.820654633043172987428
#> 13 13 7646.076 0.830525488246899534772
#> 14 14 7397.621 0.836032474327504937506
#> 15 15 7082.891 0.843008434821165164585
#> 16 16 6762.938 0.850100159077330053137
#> 17 17 6466.587 0.856668752985550341350
#> 18 18 6199.674 0.862584848027360351352
#> 19 19 5989.256 0.867248738785284856156
#> 20 20 5760.802 0.872312388534601801382# Membuat plot untuk nilai WSS
plot_wss <- ggplot(cluster_results_df, aes(x = n_cluster, y = wss)) +
geom_line(color = "red") +
geom_point(color = "black", size = 3) +
labs(title = "Within-Cluster Sum of Squares (WSS) vs. Number of Clusters",
x = "Number of Clusters",
y = "WSS") +
theme_minimal()# Membuat plot untuk rasio BSS/TSS
plot_bss_tss_ratio <- ggplot(cluster_results_df, aes(x = n_cluster, y = bss_tss_ratio)) +
geom_line(color = "red") +
geom_point(color = "red", size = 3) +
labs(title = "Between-Cluster Sum of Squares (BSS) / Total Sum of Squares (TSS) vs. Number of Clusters",
x = "Number of Clusters",
y = "BSS / TSS Ratio") +
theme_minimal()# Menampilkan kedua plot
gridExtra::grid.arrange(plot_wss, plot_bss_tss_ratio, ncol = 1)
Insight Dari hasil percobaan 1-100 cluster didapatkan
bahwa saat cluster ke 5 Total Within dan Rasio antara BSS/TSS tidak
turun dan naik sangat signifikan lagi. hal ini menunjukan bahwa k
optimal berada pada cluster 5
4.2.2 K = 5
RNGkind(sample.kind = "Rounding")
set.seed(100)
# k-means dengan k optimum
cus_cluster_op <- kmeans(data_to_cluster,centers = 5)
# Cek berapa besar tiap cluster
cus_cluster_op$size#> [1] 1712 1747 4052 1952 5537RFM_sample$cluster <- as.factor(cus_cluster_op$cluster)
head(RFM_sample)#> Frequency CustGender CustAccountBalance TransactionAmount_INR CustomerAge
#> 1 1 0 6445.72 576 41
#> 2 1 1 4502.29 700 28
#> 3 1 0 2620.29 150 23
#> 4 1 1 4462.65 305 28
#> 5 1 1 48423.61 526 25
#> 6 1 1 71193.22 200 29
#> Recency cluster
#> 1 1 1
#> 2 1 5
#> 3 1 4
#> 4 1 5
#> 5 1 5
#> 6 1 5RFM_centroid <- RFM_sample %>%
group_by(cluster) %>%
summarise_all(mean)
RFM_centroid#> # A tibble: 5 × 7
#> cluster Frequency CustGender CustAccountBalance TransactionAmount_INR
#> <fct> <dbl> <dbl> <dbl> <dbl>
#> 1 1 1.17 0.730 24234. 567.
#> 2 2 1.18 0.740 23928. 598.
#> 3 3 1.16 0.740 24469. 557.
#> 4 4 1.19 0.739 24449. 543.
#> 5 5 1.18 0.722 23827. 558.
#> # ℹ 2 more variables: CustomerAge <dbl>, Recency <dbl>4.2.2.1 Profiling Cluster
library(tidyr)
RFM_centroid %>%
pivot_longer(-cluster) %>%
group_by(name) %>%
summarize(
kelompok_min = which.min(value),
kelompok_max = which.max(value))#> # A tibble: 6 × 3
#> name kelompok_min kelompok_max
#> <chr> <int> <int>
#> 1 CustAccountBalance 5 3
#> 2 CustGender 5 3
#> 3 CustomerAge 1 2
#> 4 Frequency 3 4
#> 5 Recency 3 4
#> 6 TransactionAmount_INR 4 2Profiling Tiap Cluster - Cluster 1: Frequency dan Recencynya paling rendah, tetapi Account Balancenya tinggi, dan paling banyak lelaki - Cluster 2: Frekuensi dan Jumlah Pembayaran Transaksinya paling tinggi. - Cluster 3: Umurnya rata-rata sudah tua daripada yang lain, lalu recencynya tinggi akan tetapi pembayaran transaksinya kecil - Cluster 4: Tabungannya rata-rata kecil dan didominasi oleh perempuan - Cluster 5: Rata-rata anak muda
4.2.2.2 Visualisasi Radar Profiling
# install.packages("ggiraphExtra")
library(ggiraphExtra)
ggRadar(data=RFM_centroid,
aes(colour=cluster),
interactive=TRUE)