Customer Segmentation : RFM Analysis
Jayadi Butar Butar
December 01, 2023
1 Introduction
1.1 Problem Statement
Analisis Personalitas Pelanggan adalah analisis terperinci mengenai pelanggan ideal sebuah perusahaan. Hal ini membantu bisnis untuk lebih memahami pelanggannya dan memudahkan mereka untuk mengubah produk sesuai dengan kebutuhan, perilaku, dan kekhawatiran khusus dari berbagai jenis pelanggan. Analisis personalitas pelanggan membantu bisnis untuk mengubah produknya berdasarkan pelanggan target dari berbagai segmen pelanggan yang berbeda. Sebagai contoh, daripada mengeluarkan uang untuk memasarkan produk baru kepada setiap pelanggan dalam basis data perusahaan, perusahaan dapat menganalisis segmen pelanggan yang paling mungkin membeli produk dan kemudian memasarkan produk hanya kepada segmen tersebut.
Dalam percobaan ini tugas kita adalah membuat segmentasi pelanggan berdasarkan data penjualan sebuah perusahaan berbasis online dan onsite.
1.2 Data’s Point of View
Berikut adalah tabel penjelasan variabel dari dataset :
| ID | ID pelanggan yang unik |
|---|---|
| Year_Birth | Tahun kelahiran pelanggan |
| Education | Tingkat pendidikan pelanggan |
| Marital_Status | Status pernikahan pelanggan |
| Income | Pendapatan tahunan rumah tangga pelanggan |
| Kidhome | Jumlah anak-anak dalam rumah tangga pelanggan |
| Teenhome | Jumlah remaja dalam rumah tangga pelanggan |
| Dt_Customer | Tanggal pendaftaran pelanggan ke perusahaan |
| Recency | Jumlah hari sejak pembelian terakhir pelanggan |
| Complain | 1 jika pelanggan mengeluh dalam 2 tahun terakhir, 0 jika tidak |
| MntWines | Jumlah belanja pada anggur dalam 2 tahun terakhir |
| MntFruits | Jumlah belanja pada buah-buahan dalam 2 tahun terakhir |
| MntMeatProducts | Jumlah belanja pada produk daging dalam 2 tahun terakhir |
| MntFishProducts | Jumlah belanja pada produk ikan dalam 2 tahun terakhir |
| MntSweetProducts | Jumlah belanja pada produk manis dalam 2 tahun terakhir |
| MntGoldProds | Jumlah belanja pada produk emas dalam 2 tahun terakhir |
| NumDealsPurchases | Jumlah pembelian dengan diskon |
| AcceptedCmp1 | 1 jika pelanggan menerima tawaran dalam kampanye pertama, 0 jika tidak |
| AcceptedCmp2 | 1 jika pelanggan menerima tawaran dalam kampanye kedua, 0 jika tidak |
| AcceptedCmp3 | 1 jika pelanggan menerima tawaran dalam kampanye ketiga, 0 jika tidak |
| AcceptedCmp4 | 1 jika pelanggan menerima tawaran dalam kampanye keempat, 0 jika tidak |
| AcceptedCmp5 | 1 jika pelanggan menerima tawaran dalam kampanye kelima, 0 jika tidak |
| Response | 1 jika pelanggan menerima tawaran dalam kampanye terakhir, 0 jika tidak |
| NumWebPurchases | Jumlah pembelian melalui situs web perusahaan |
| NumCatalogPurchases | Jumlah pembelian menggunakan katalog |
| NumStorePurchases | Jumlah pembelian langsung di toko |
| NumWebVisitsMonth | Jumlah kunjungan ke situs web perusahaan dalam bulan terakhir |
2 Data Cleaning
library(dplyr)
library(GGally)
library(FactoMineR)
library(factoextra)
library(tidyr)
library(ggiraphExtra)
library(purrr)
library(cluster)#> Rows: 2,240
#> Columns: 29
#> $ ID <int> 5524, 2174, 4141, 6182, 5324, 7446, 965, 6177, 485…
#> $ Year_Birth <int> 1957, 1954, 1965, 1984, 1981, 1967, 1971, 1985, 19…
#> $ Education <chr> "Graduation", "Graduation", "Graduation", "Graduat…
#> $ Marital_Status <chr> "Single", "Single", "Together", "Together", "Marri…
#> $ Income <int> 58138, 46344, 71613, 26646, 58293, 62513, 55635, 3…
#> $ Kidhome <int> 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1,…
#> $ Teenhome <int> 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1,…
#> $ Dt_Customer <chr> "04-09-2012", "08-03-2014", "21-08-2013", "10-02-2…
#> $ Recency <int> 58, 38, 26, 26, 94, 16, 34, 32, 19, 68, 11, 59, 82…
#> $ MntWines <int> 635, 11, 426, 11, 173, 520, 235, 76, 14, 28, 5, 6,…
#> $ MntFruits <int> 88, 1, 49, 4, 43, 42, 65, 10, 0, 0, 5, 16, 61, 2, …
#> $ MntMeatProducts <int> 546, 6, 127, 20, 118, 98, 164, 56, 24, 6, 6, 11, 4…
#> $ MntFishProducts <int> 172, 2, 111, 10, 46, 0, 50, 3, 3, 1, 0, 11, 225, 3…
#> $ MntSweetProducts <int> 88, 1, 21, 3, 27, 42, 49, 1, 3, 1, 2, 1, 112, 5, 1…
#> $ MntGoldProds <int> 88, 6, 42, 5, 15, 14, 27, 23, 2, 13, 1, 16, 30, 14…
#> $ NumDealsPurchases <int> 3, 2, 1, 2, 5, 2, 4, 2, 1, 1, 1, 1, 1, 3, 1, 1, 3,…
#> $ NumWebPurchases <int> 8, 1, 8, 2, 5, 6, 7, 4, 3, 1, 1, 2, 3, 6, 1, 7, 3,…
#> $ NumCatalogPurchases <int> 10, 1, 2, 0, 3, 4, 3, 0, 0, 0, 0, 0, 4, 1, 0, 6, 0…
#> $ NumStorePurchases <int> 4, 2, 10, 4, 6, 10, 7, 4, 2, 0, 2, 3, 8, 5, 3, 12,…
#> $ NumWebVisitsMonth <int> 7, 5, 4, 6, 5, 6, 6, 8, 9, 20, 7, 8, 2, 6, 8, 3, 8…
#> $ AcceptedCmp3 <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0,…
#> $ AcceptedCmp4 <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,…
#> $ AcceptedCmp5 <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,…
#> $ AcceptedCmp1 <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,…
#> $ AcceptedCmp2 <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,…
#> $ Complain <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,…
#> $ Z_CostContact <int> 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3,…
#> $ Z_Revenue <int> 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11…
#> $ Response <int> 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0,…Dataset memiliki tipe data integer, character dan categori.
#> ID Year_Birth Education Marital_Status
#> 0 0 0 0
#> Income Kidhome Teenhome Dt_Customer
#> 24 0 0 0
#> Recency MntWines MntFruits MntMeatProducts
#> 0 0 0 0
#> MntFishProducts MntSweetProducts MntGoldProds NumDealsPurchases
#> 0 0 0 0
#> NumWebPurchases NumCatalogPurchases NumStorePurchases NumWebVisitsMonth
#> 0 0 0 0
#> AcceptedCmp3 AcceptedCmp4 AcceptedCmp5 AcceptedCmp1
#> 0 0 0 0
#> AcceptedCmp2 Complain Z_CostContact Z_Revenue
#> 0 0 0 0
#> Response
#> 0Terdapat 24 missing values pada kolom Income.
3 Exploratory Data Analysis
#> ID Year_Birth Education Marital_Status
#> Min. : 0 Min. :1893 Length:2216 Length:2216
#> 1st Qu.: 2815 1st Qu.:1959 Class :character Class :character
#> Median : 5458 Median :1970 Mode :character Mode :character
#> Mean : 5588 Mean :1969
#> 3rd Qu.: 8422 3rd Qu.:1977
#> Max. :11191 Max. :1996
#> Income Kidhome Teenhome Dt_Customer
#> Min. : 1730 Min. :0.0000 Min. :0.0000 Length:2216
#> 1st Qu.: 35303 1st Qu.:0.0000 1st Qu.:0.0000 Class :character
#> Median : 51382 Median :0.0000 Median :0.0000 Mode :character
#> Mean : 52247 Mean :0.4418 Mean :0.5054
#> 3rd Qu.: 68522 3rd Qu.:1.0000 3rd Qu.:1.0000
#> Max. :666666 Max. :2.0000 Max. :2.0000
#> Recency MntWines MntFruits MntMeatProducts
#> Min. : 0.00 Min. : 0.0 Min. : 0.00 Min. : 0.0
#> 1st Qu.:24.00 1st Qu.: 24.0 1st Qu.: 2.00 1st Qu.: 16.0
#> Median :49.00 Median : 174.5 Median : 8.00 Median : 68.0
#> Mean :49.01 Mean : 305.1 Mean : 26.36 Mean : 167.0
#> 3rd Qu.:74.00 3rd Qu.: 505.0 3rd Qu.: 33.00 3rd Qu.: 232.2
#> Max. :99.00 Max. :1493.0 Max. :199.00 Max. :1725.0
#> MntFishProducts MntSweetProducts MntGoldProds NumDealsPurchases
#> Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.000
#> 1st Qu.: 3.00 1st Qu.: 1.00 1st Qu.: 9.00 1st Qu.: 1.000
#> Median : 12.00 Median : 8.00 Median : 24.50 Median : 2.000
#> Mean : 37.64 Mean : 27.03 Mean : 43.97 Mean : 2.324
#> 3rd Qu.: 50.00 3rd Qu.: 33.00 3rd Qu.: 56.00 3rd Qu.: 3.000
#> Max. :259.00 Max. :262.00 Max. :321.00 Max. :15.000
#> NumWebPurchases NumCatalogPurchases NumStorePurchases NumWebVisitsMonth
#> Min. : 0.000 Min. : 0.000 Min. : 0.000 Min. : 0.000
#> 1st Qu.: 2.000 1st Qu.: 0.000 1st Qu.: 3.000 1st Qu.: 3.000
#> Median : 4.000 Median : 2.000 Median : 5.000 Median : 6.000
#> Mean : 4.085 Mean : 2.671 Mean : 5.801 Mean : 5.319
#> 3rd Qu.: 6.000 3rd Qu.: 4.000 3rd Qu.: 8.000 3rd Qu.: 7.000
#> Max. :27.000 Max. :28.000 Max. :13.000 Max. :20.000
#> AcceptedCmp3 AcceptedCmp4 AcceptedCmp5 AcceptedCmp1
#> Min. :0.00000 Min. :0.00000 Min. :0.0000 Min. :0.00000
#> 1st Qu.:0.00000 1st Qu.:0.00000 1st Qu.:0.0000 1st Qu.:0.00000
#> Median :0.00000 Median :0.00000 Median :0.0000 Median :0.00000
#> Mean :0.07356 Mean :0.07401 Mean :0.0731 Mean :0.06408
#> 3rd Qu.:0.00000 3rd Qu.:0.00000 3rd Qu.:0.0000 3rd Qu.:0.00000
#> Max. :1.00000 Max. :1.00000 Max. :1.0000 Max. :1.00000
#> AcceptedCmp2 Complain Z_CostContact Z_Revenue
#> Min. :0.00000 Min. :0.000000 Min. :3 Min. :11
#> 1st Qu.:0.00000 1st Qu.:0.000000 1st Qu.:3 1st Qu.:11
#> Median :0.00000 Median :0.000000 Median :3 Median :11
#> Mean :0.01354 Mean :0.009477 Mean :3 Mean :11
#> 3rd Qu.:0.00000 3rd Qu.:0.000000 3rd Qu.:3 3rd Qu.:11
#> Max. :1.00000 Max. :1.000000 Max. :3 Max. :11
#> Response
#> Min. :0.0000
#> 1st Qu.:0.0000
#> Median :0.0000
#> Mean :0.1503
#> 3rd Qu.:0.0000
#> Max. :1.0000Sebelum melakukan segmentasi kita perlu menghilangkan outliers dari data, Boxplot digunakan untuk melihat outliers.
kita dapat menarik kesimpulan sebagai berikut : - Variabel Z_CostContact
dan Z_Revenue tidak memiliki variasi data. - Variabel Income dan
Year_birth memiliki Outliers - Terdapat sejumlah variabel kategorikal
yang perlu dilakukan encoding untuk menjadi numerik
4 Feature Engginering
# Filter Outliers dengan menghapus income dan umur yang terlalu besar
df <- df %>% filter(Income < 600000 & Age < 90)
dim(df)#> [1] 2212 30#> [1] "Single" "Together" "Married" "Divorced" "Widow" "Alone" "Absurd"
#> [8] "YOLO"df <- df %>% mutate(Marital_Status = replace(Marital_Status, Marital_Status == "Divorced" | Marital_Status == "Widow" | Marital_Status == "Alone" | Marital_Status == "Absurd" | Marital_Status == "YOLO", "Single"))
df <- df %>% mutate(Marital_Status = replace(Marital_Status, Marital_Status == "Together" | Marital_Status == "Married", "Taken"))
unique(df$Marital_Status)#> [1] "Single" "Taken"#> [1] "Graduation" "PhD" "Master" "Basic" "2n Cycle"df <- df %>% mutate(Education = replace(Education, Education == "Graduation"| Education == "PhD" | Education == "Master", "graduate"))
df <- df %>% mutate(Education = replace(Education, Education == "Basic"| Education == "2n Cycle", "non-graduate"))
unique(df$Education)#> [1] "graduate" "non-graduate"# Ubah tipe data matrial_status dan education menjadi categori
df <- df %>% mutate(Marital_Status = as.factor(Marital_Status), Education = as.factor(Education))# Ubah nama variabel agar lebih mudah di kenali
df <- df %>% rename(wines = MntWines, fruits = MntFruits, meat = MntMeatProducts, fish = MntFishProducts, sweet = MntSweetProducts, gold = MntGoldProds )# Buat variabel baru yang berisi Total pembelian
df <- df %>% mutate(Total_spent = wines + fruits + meat + fish + sweet + gold)# hapus variabel yang redundat dana tidak memiliki variasi data serta tidak dibutuhkan dalam segmentasi
df <- df %>% select(- ID, - Year_Birth, - Dt_Customer, - Z_CostContact, - Z_Revenue)
str(df)#> 'data.frame': 2212 obs. of 26 variables:
#> $ Education : Factor w/ 2 levels "graduate","non-graduate": 1 1 1 1 1 1 1 1 1 1 ...
#> $ Marital_Status : Factor w/ 2 levels "Single","Taken": 1 1 2 2 2 2 1 2 2 2 ...
#> $ Income : int 58138 46344 71613 26646 58293 62513 55635 33454 30351 5648 ...
#> $ Kidhome : int 0 1 0 1 1 0 0 1 1 1 ...
#> $ Teenhome : int 0 1 0 0 0 1 1 0 0 1 ...
#> $ Recency : int 58 38 26 26 94 16 34 32 19 68 ...
#> $ wines : int 635 11 426 11 173 520 235 76 14 28 ...
#> $ fruits : int 88 1 49 4 43 42 65 10 0 0 ...
#> $ meat : int 546 6 127 20 118 98 164 56 24 6 ...
#> $ fish : int 172 2 111 10 46 0 50 3 3 1 ...
#> $ sweet : int 88 1 21 3 27 42 49 1 3 1 ...
#> $ gold : int 88 6 42 5 15 14 27 23 2 13 ...
#> $ NumDealsPurchases : int 3 2 1 2 5 2 4 2 1 1 ...
#> $ NumWebPurchases : int 8 1 8 2 5 6 7 4 3 1 ...
#> $ NumCatalogPurchases: int 10 1 2 0 3 4 3 0 0 0 ...
#> $ NumStorePurchases : int 4 2 10 4 6 10 7 4 2 0 ...
#> $ NumWebVisitsMonth : int 7 5 4 6 5 6 6 8 9 20 ...
#> $ AcceptedCmp3 : int 0 0 0 0 0 0 0 0 0 1 ...
#> $ AcceptedCmp4 : int 0 0 0 0 0 0 0 0 0 0 ...
#> $ AcceptedCmp5 : int 0 0 0 0 0 0 0 0 0 0 ...
#> $ AcceptedCmp1 : int 0 0 0 0 0 0 0 0 0 0 ...
#> $ AcceptedCmp2 : int 0 0 0 0 0 0 0 0 0 0 ...
#> $ Complain : int 0 0 0 0 0 0 0 0 0 0 ...
#> $ Response : int 1 0 0 0 0 0 0 0 1 0 ...
#> $ Age : num 66 69 58 39 42 56 52 38 49 73 ...
#> $ Total_spent : int 1617 27 776 53 422 716 590 169 46 49 ...
#> - attr(*, "na.action")= 'omit' Named int [1:24] 11 28 44 49 59 72 91 92 93 129 ...
#> ..- attr(*, "names")= chr [1:24] "11" "28" "44" "49" ...
plot di atas menunjukan banyak nya korelasi antar variabel, untuk itu kita akan menggunakan PCA untuk melakukan dimensionality reduction.
# Encoding variabel kategorik menjadi numerik
df_clean <- df_clean %>% mutate(Education = case_when(Education == "graduate" ~ 1,
Education == "non-graduate" ~ 0),
Marital_Status = case_when(Marital_Status == "Taken" ~ 1,
Marital_Status == "Single" ~ 0))
str(df_clean)#> 'data.frame': 2212 obs. of 26 variables:
#> $ Education : num 1 1 1 1 1 1 1 1 1 1 ...
#> $ Marital_Status : num 0 0 1 1 1 1 0 1 1 1 ...
#> $ Income : int 58138 46344 71613 26646 58293 62513 55635 33454 30351 5648 ...
#> $ Kidhome : int 0 1 0 1 1 0 0 1 1 1 ...
#> $ Teenhome : int 0 1 0 0 0 1 1 0 0 1 ...
#> $ Recency : int 58 38 26 26 94 16 34 32 19 68 ...
#> $ wines : int 635 11 426 11 173 520 235 76 14 28 ...
#> $ fruits : int 88 1 49 4 43 42 65 10 0 0 ...
#> $ meat : int 546 6 127 20 118 98 164 56 24 6 ...
#> $ fish : int 172 2 111 10 46 0 50 3 3 1 ...
#> $ sweet : int 88 1 21 3 27 42 49 1 3 1 ...
#> $ gold : int 88 6 42 5 15 14 27 23 2 13 ...
#> $ NumDealsPurchases : int 3 2 1 2 5 2 4 2 1 1 ...
#> $ NumWebPurchases : int 8 1 8 2 5 6 7 4 3 1 ...
#> $ NumCatalogPurchases: int 10 1 2 0 3 4 3 0 0 0 ...
#> $ NumStorePurchases : int 4 2 10 4 6 10 7 4 2 0 ...
#> $ NumWebVisitsMonth : int 7 5 4 6 5 6 6 8 9 20 ...
#> $ AcceptedCmp3 : int 0 0 0 0 0 0 0 0 0 1 ...
#> $ AcceptedCmp4 : int 0 0 0 0 0 0 0 0 0 0 ...
#> $ AcceptedCmp5 : int 0 0 0 0 0 0 0 0 0 0 ...
#> $ AcceptedCmp1 : int 0 0 0 0 0 0 0 0 0 0 ...
#> $ AcceptedCmp2 : int 0 0 0 0 0 0 0 0 0 0 ...
#> $ Complain : int 0 0 0 0 0 0 0 0 0 0 ...
#> $ Response : int 1 0 0 0 0 0 0 0 1 0 ...
#> $ Age : num 66 69 58 39 42 56 52 38 49 73 ...
#> $ Total_spent : int 1617 27 776 53 422 716 590 169 46 49 ...
#> - attr(*, "na.action")= 'omit' Named int [1:24] 11 28 44 49 59 72 91 92 93 129 ...
#> ..- attr(*, "names")= chr [1:24] "11" "28" "44" "49" ...5 PCA
Sebelum dilakukan dimentionality reduction data perlu di scaling agar nantinya semua variabel memberikan kontribusi pada PC yang terbentuk, bukan hanya variabel yang bernilai besar saja. Scaling yang digunakan pada tahap ini adalah Z-score (mean = 0, standar deviasi = 1).
#> Education Marital_Status Income Kidhome
#> Min. :-2.7882 Min. :-1.3493 Min. :-2.3333 Min. :-0.8226
#> 1st Qu.: 0.3585 1st Qu.:-1.3493 1st Qu.:-0.7769 1st Qu.:-0.8226
#> Median : 0.3585 Median : 0.7408 Median :-0.0273 Median :-0.8226
#> Mean : 0.0000 Mean : 0.0000 Mean : 0.0000 Mean : 0.0000
#> 3rd Qu.: 0.3585 3rd Qu.: 0.7408 3rd Qu.: 0.7678 3rd Qu.: 1.0398
#> Max. : 0.3585 Max. : 0.7408 Max. : 5.1302 Max. : 2.9021
#> Teenhome Recency wines fruits
#> Min. :-0.9295 Min. :-1.6936473 Min. :-0.9050 Min. :-0.6625
#> 1st Qu.:-0.9295 1st Qu.:-0.8644347 1st Qu.:-0.8339 1st Qu.:-0.6122
#> Median :-0.9295 Median :-0.0006716 Median :-0.3848 Median :-0.4612
#> Mean : 0.0000 Mean : 0.0000000 Mean : 0.0000 Mean : 0.0000
#> 3rd Qu.: 0.9079 3rd Qu.: 0.8630914 3rd Qu.: 0.5921 3rd Qu.: 0.1678
#> Max. : 2.7453 Max. : 1.7268545 Max. : 3.5210 Max. : 4.3446
#> meat fish sweet gold
#> Min. :-0.7448 Min. :-0.6874 Min. :-0.6582 Min. :-0.8495
#> 1st Qu.:-0.6735 1st Qu.:-0.6326 1st Qu.:-0.6339 1st Qu.:-0.6755
#> Median :-0.4416 Median :-0.4683 Median :-0.4635 Median :-0.3757
#> Mean : 0.0000 Mean : 0.0000 Mean : 0.0000 Mean : 0.0000
#> 3rd Qu.: 0.2908 3rd Qu.: 0.2255 3rd Qu.: 0.1449 3rd Qu.: 0.2335
#> Max. : 6.9473 Max. : 4.0413 Max. : 5.7179 Max. : 5.3585
#> NumDealsPurchases NumWebPurchases NumCatalogPurchases NumStorePurchases
#> Min. :-1.2079 Min. :-1.49084 Min. :-0.9128 Min. :-1.7861
#> 1st Qu.:-0.6883 1st Qu.:-0.76149 1st Qu.:-0.9128 1st Qu.:-0.8633
#> Median :-0.1687 Median :-0.03215 Median :-0.2296 Median :-0.2481
#> Mean : 0.0000 Mean : 0.00000 Mean : 0.0000 Mean : 0.0000
#> 3rd Qu.: 0.3510 3rd Qu.: 0.69720 3rd Qu.: 0.4535 3rd Qu.: 0.6747
#> Max. : 6.5863 Max. : 8.35532 Max. : 8.6515 Max. : 2.2127
#> NumWebVisitsMonth AcceptedCmp3 AcceptedCmp4 AcceptedCmp5
#> Min. :-2.1939 Min. :-0.282 Min. :-0.2829 Min. :-0.2801
#> 1st Qu.:-0.9571 1st Qu.:-0.282 1st Qu.:-0.2829 1st Qu.:-0.2801
#> Median : 0.2798 Median :-0.282 Median :-0.2829 Median :-0.2801
#> Mean : 0.0000 Mean : 0.000 Mean : 0.0000 Mean : 0.0000
#> 3rd Qu.: 0.6920 3rd Qu.:-0.282 3rd Qu.:-0.2829 3rd Qu.:-0.2801
#> Max. : 6.0515 Max. : 3.545 Max. : 3.5330 Max. : 3.5684
#> AcceptedCmp1 AcceptedCmp2 Complain Response
#> Min. :-0.2619 Min. :-0.1172 Min. :-0.0955 Min. :-0.4209
#> 1st Qu.:-0.2619 1st Qu.:-0.1172 1st Qu.:-0.0955 1st Qu.:-0.4209
#> Median :-0.2619 Median :-0.1172 Median :-0.0955 Median :-0.4209
#> Mean : 0.0000 Mean : 0.0000 Mean : 0.0000 Mean : 0.0000
#> 3rd Qu.:-0.2619 3rd Qu.:-0.1172 3rd Qu.:-0.0955 3rd Qu.:-0.4209
#> Max. : 3.8172 Max. : 8.5265 Max. :10.4666 Max. : 2.3749
#> Age Total_spent
#> Min. :-2.31476 Min. :-0.9996
#> 1st Qu.:-0.69105 1st Qu.:-0.8934
#> Median :-0.09284 Median :-0.3490
#> Mean : 0.00000 Mean : 0.0000
#> 3rd Qu.: 0.84720 3rd Qu.: 0.7315
#> Max. : 2.47091 Max. : 3.1829#>
#> Call:
#> PCA(X = df_scaled, graph = F)
#>
#>
#> Eigenvalues
#> Dim.1 Dim.2 Dim.3 Dim.4 Dim.5 Dim.6 Dim.7
#> Variance 7.640 2.087 1.915 1.430 1.156 1.015 1.011
#> % of var. 29.385 8.027 7.363 5.502 4.448 3.905 3.887
#> Cumulative % of var. 29.385 37.411 44.775 50.276 54.724 58.629 62.516
#> Dim.8 Dim.9 Dim.10 Dim.11 Dim.12 Dim.13 Dim.14
#> Variance 0.995 0.972 0.830 0.745 0.718 0.635 0.611
#> % of var. 3.826 3.739 3.191 2.865 2.762 2.442 2.352
#> Cumulative % of var. 66.342 70.082 73.273 76.138 78.900 81.342 83.694
#> Dim.15 Dim.16 Dim.17 Dim.18 Dim.19 Dim.20 Dim.21
#> Variance 0.582 0.561 0.512 0.431 0.424 0.393 0.376
#> % of var. 2.237 2.159 1.969 1.658 1.633 1.511 1.444
#> Cumulative % of var. 85.931 88.090 90.059 91.717 93.350 94.861 96.305
#> Dim.22 Dim.23 Dim.24 Dim.25 Dim.26
#> Variance 0.337 0.238 0.216 0.169 0.000
#> % of var. 1.296 0.916 0.831 0.651 0.000
#> Cumulative % of var. 97.601 98.517 99.349 100.000 100.000
#>
#> Individuals (the 10 first)
#> Dist Dim.1 ctr cos2 Dim.2 ctr cos2
#> 1 | 6.154 | 4.125 0.101 0.449 | -0.185 0.001 0.001 |
#> 2 | 3.632 | -2.526 0.038 0.484 | 0.336 0.002 0.009 |
#> 3 | 3.348 | 1.666 0.016 0.248 | 0.124 0.000 0.001 |
#> 4 | 3.487 | -2.745 0.045 0.620 | -1.289 0.036 0.137 |
#> 5 | 3.096 | -0.501 0.001 0.026 | -0.115 0.000 0.001 |
#> 6 | 2.889 | 0.752 0.003 0.068 | 1.375 0.041 0.226 |
#> 7 | 2.799 | 0.568 0.002 0.041 | 1.193 0.031 0.182 |
#> 8 | 3.297 | -2.459 0.036 0.556 | -0.860 0.016 0.068 |
#> 9 | 4.457 | -2.772 0.045 0.387 | -1.276 0.035 0.082 |
#> 10 | 8.328 | -4.624 0.126 0.308 | 0.801 0.014 0.009 |
#> Dim.3 ctr cos2
#> 1 -0.219 0.001 0.001 |
#> 2 -0.102 0.000 0.001 |
#> 3 -1.103 0.029 0.108 |
#> 4 0.061 0.000 0.000 |
#> 5 -0.689 0.011 0.049 |
#> 6 -0.505 0.006 0.031 |
#> 7 -0.798 0.015 0.081 |
#> 8 0.237 0.001 0.005 |
#> 9 1.572 0.058 0.124 |
#> 10 1.864 0.082 0.050 |
#>
#> Variables (the 10 first)
#> Dim.1 ctr cos2 Dim.2 ctr cos2 Dim.3
#> Education | 0.113 0.167 0.013 | 0.258 3.179 0.066 | 0.092
#> Marital_Status | -0.026 0.009 0.001 | 0.059 0.170 0.004 | -0.071
#> Income | 0.856 9.581 0.732 | 0.108 0.561 0.012 | -0.048
#> Kidhome | -0.645 5.450 0.416 | -0.123 0.727 0.015 | 0.130
#> Teenhome | -0.135 0.238 0.018 | 0.771 28.478 0.594 | -0.053
#> Recency | 0.006 0.001 0.000 | 0.052 0.128 0.003 | -0.148
#> wines | 0.807 8.517 0.651 | 0.239 2.732 0.057 | 0.255
#> fruits | 0.672 5.909 0.451 | -0.175 1.460 0.030 | -0.278
#> meat | 0.815 8.700 0.665 | -0.185 1.635 0.034 | -0.076
#> fish | 0.698 6.373 0.487 | -0.193 1.776 0.037 | -0.278
#> ctr cos2
#> Education 0.441 0.008 |
#> Marital_Status 0.266 0.005 |
#> Income 0.120 0.002 |
#> Kidhome 0.888 0.017 |
#> Teenhome 0.144 0.003 |
#> Recency 1.147 0.022 |
#> wines 3.385 0.065 |
#> fruits 4.049 0.078 |
#> meat 0.298 0.006 |
#> fish 4.038 0.077 |5.1 Eigenvalue
Variansi/eigenvalue menunjukkan seberapa banyak informasi yang dapat ditangkap oleh setiap sumbu baru (PC) kita.
#> eigenvalue
#> comp 1 7.640042642532206329519794962834566832
#> comp 2 2.086893560032947902982414234429597855
#> comp 3 1.914502564463179234977019405050668865
#> comp 4 1.430410016275325491008629796851892024
#> comp 5 1.156386632222498045408087818941567093
#> comp 6 1.015239030519736518343165698752272874
#> comp 7 1.010690104794361499074284438393078744
#> comp 8 0.994787442189831616623507670738035813
#> comp 9 0.972248838962520678386169947771122679
#> comp 10 0.829739288317196677091658330027712509
#> comp 11 0.744983139865473487084557291382225230
#> comp 12 0.718061734771240911534562201268272474
#> comp 13 0.635028371282553627530376161303138360
#> comp 14 0.611423688065063308805235919862752780
#> comp 15 0.581597506716361012379934436467010528
#> comp 16 0.561431645209511609451169533713255078
#> comp 17 0.511996794804022825609024494042387232
#> comp 18 0.431001158082758073497586792655056342
#> comp 19 0.424462320496945044734360408256179653
#> comp 20 0.392885422351843760502276836632518098
#> comp 21 0.375557275129512146971677566398284398
#> comp 22 0.336932038923895282866993738934979774
#> comp 23 0.238143090259883866144363651073945221
#> comp 24 0.216185169742349275745496584022475872
#> comp 25 0.169370523988750132371450263235601597
#> comp 26 0.000000000000000000000000000001506733
#> percentage of variance
#> comp 1 29.384779394354676895773081923834979534
#> comp 2 8.026513692434425806254694180097430944
#> comp 3 7.363471401781467307046114001423120499
#> comp 4 5.501576985674335951159719115821644664
#> comp 5 4.447640893163459452352981315925717354
#> comp 6 3.904765501998991084064982715062797070
#> comp 7 3.887269633824472325756005375296808779
#> comp 8 3.826105546883972419180963697726838291
#> comp 9 3.739418611394314861939847105531953275
#> comp 10 3.191304955066145421227474798797629774
#> comp 11 2.865319768713363135503868761588819325
#> comp 12 2.761775902966314699682470745756290853
#> comp 13 2.442416812625209043829954680404625833
#> comp 14 2.351629569481015646914556782576255500
#> comp 15 2.236913487370622011241039217566139996
#> comp 16 2.159352481575047555395485687768086791
#> comp 17 1.969218441553936438381811058206949383
#> comp 18 1.657696761856763956188842712435871363
#> comp 19 1.632547386526713495413787313736975193
#> comp 20 1.511097778276324188340140608488582075
#> comp 21 1.444451058190433068162406016199383885
#> comp 22 1.295892457399598907130666702869348228
#> comp 23 0.915934962538015984279127223999239504
#> comp 24 0.831481422085959875900584847840946168
#> comp 25 0.651425092264424354659979599091457203
#> comp 26 0.000000000000000000000000000005795126
#> cumulative percentage of variance
#> comp 1 29.38478
#> comp 2 37.41129
#> comp 3 44.77476
#> comp 4 50.27634
#> comp 5 54.72398
#> comp 6 58.62875
#> comp 7 62.51602
#> comp 8 66.34212
#> comp 9 70.08154
#> comp 10 73.27285
#> comp 11 76.13817
#> comp 12 78.89994
#> comp 13 81.34236
#> comp 14 83.69399
#> comp 15 85.93090
#> comp 16 88.09025
#> comp 17 90.05947
#> comp 18 91.71717
#> comp 19 93.34972
#> comp 20 94.86082
#> comp 21 96.30527
#> comp 22 97.60116
#> comp 23 98.51709
#> comp 24 99.34857
#> comp 25 100.00000
#> comp 26 100.000005.2 Kontribusi Variabel terhadap PC
loan_pca$var$coord menunjukkan kontribusi tiap variabel
ke tiap PC.
#> Dim.1 Dim.2 Dim.3 Dim.4
#> Education 0.112905073 0.257570583 0.09191548 -0.20727256
#> Marital_Status -0.026391203 0.059486997 -0.07130086 -0.14409475
#> Income 0.855575916 0.108216775 -0.04792889 -0.16963461
#> Kidhome -0.645284053 -0.123204892 0.13035996 0.20059884
#> Teenhome -0.134905803 0.770915101 -0.05256401 -0.07733637
#> Recency 0.006399338 0.051781798 -0.14816559 -0.21208795
#> wines 0.806669210 0.238784034 0.25455945 -0.04045078
#> fruits 0.671896660 -0.174533136 -0.27840971 0.16778264
#> meat 0.815292321 -0.184711042 -0.07556328 0.01996130
#> fish 0.697796626 -0.192503580 -0.27804801 0.14389653
#> sweet 0.678726093 -0.163738135 -0.23754299 0.12626019
#> gold 0.561082512 0.112027341 -0.09538005 0.35654842
#> NumDealsPurchases -0.129666126 0.634149696 0.06174088 0.43904059
#> NumWebPurchases 0.547694058 0.485691928 0.03842673 0.30600870
#> NumCatalogPurchases 0.817160042 0.009331440 -0.03200337 0.05690230
#> NumStorePurchases 0.725645075 0.274925083 -0.14602506 -0.01915626
#> NumWebVisitsMonth -0.620949524 0.237618199 0.28812703 0.37421072
#> AcceptedCmp3 0.050202371 -0.125688223 0.28580786 0.46906073
#> AcceptedCmp4 0.250871156 0.185248197 0.56205318 -0.33857682
#> AcceptedCmp5 0.490831162 -0.222102564 0.48998836 -0.18041606
#> AcceptedCmp1 0.433230383 -0.193725065 0.42973857 -0.04970063
#> AcceptedCmp2 0.149533088 0.018337224 0.53410561 -0.19441717
#> Complain -0.036512908 -0.005434577 -0.01877857 0.03922972
#> Response 0.276767674 -0.154403056 0.58281983 0.34158884
#> Age 0.152663499 0.512423801 -0.07516080 -0.30773390
#> Total_spent 0.957266804 0.034371052 0.04636621 0.04814084
#> Dim.5
#> Education -0.43242329
#> Marital_Status 0.39122527
#> Income -0.08352777
#> Kidhome 0.14541121
#> Teenhome -0.13401912
#> Recency 0.40488099
#> wines 0.08505914
#> fruits 0.02921375
#> meat -0.02979301
#> fish 0.05594594
#> sweet 0.09707173
#> gold 0.04987183
#> NumDealsPurchases 0.22843048
#> NumWebPurchases 0.13565241
#> NumCatalogPurchases -0.05065604
#> NumStorePurchases 0.12414780
#> NumWebVisitsMonth 0.20349540
#> AcceptedCmp3 -0.28802225
#> AcceptedCmp4 0.26253987
#> AcceptedCmp5 0.07132459
#> AcceptedCmp1 0.05185611
#> AcceptedCmp2 0.16580179
#> Complain -0.04903572
#> Response -0.31066766
#> Age -0.40411316
#> Total_spent 0.05444530
Garis merah menunjukkan batas variabel yang berkontribusi minimal
5.3 Nilai Baru di PC
loan_pca$ind$coord menunjukkan data di sumbu PC.
#> Dim.1 Dim.2 Dim.3 Dim.4 Dim.5
#> 1 4.125464865 -0.185401377 -0.2194006226 2.20667971386 -0.981359712
#> 2 -2.525581952 0.335839065 -0.1023291493 -0.96364025136 -1.678410990
#> 3 1.665695259 0.124324469 -1.1028055773 -0.26446764165 -0.075005891
#> 4 -2.744929587 -1.289047993 0.0605877837 -0.00695523032 0.414600112
#> 5 -0.500747773 -0.114766022 -0.6886687014 0.41585301920 1.682248775
#> 6 0.752400650 1.375012824 -0.5054508757 -0.31507192616 -0.263451129
#> 7 0.568045195 1.193349093 -0.7979660090 0.74231890356 -0.455466741
#> 8 -2.458519550 -0.860095023 0.2368713554 0.48648037950 0.778065971
#> 9 -2.772477904 -1.276037142 1.5716932045 0.84245731460 -0.732733793
#> 10 -4.623650001 0.800838516 1.8640497076 2.05454327314 -0.518640206
#> 11 -2.817543915 -1.639510267 -0.3422648370 0.14947882447 1.695250705
#> 12 3.006280667 -1.486976311 -2.4274164867 -0.58469466326 -0.522987346
#> 13 -1.358452029 1.633825998 -0.0364810518 -0.35134315462 -0.981727511
#> 14 -2.755398416 -1.530046768 0.0088774619 -0.26516154547 0.409543850
#> 15 4.808803947 -0.456956021 3.0019152569 -0.69908229471 -1.777578751
#> 16 -2.728399373 0.334937531 0.1021282406 0.08438909319 0.632198662
#> 17 -0.622536688 0.187534969 -0.7907292835 -0.39099194447 -0.739913096
#> 18 4.342446128 2.258085369 0.3050044405 -0.03978450482 0.664952749
#> 19 -2.260774671 -2.018548884 -0.5165687925 0.76448966531 1.764762491
#> 20 -0.959828077 -0.951671123 -0.4432562358 0.23217579094 0.600466566
#> 21 2.549821675 0.126790443 -0.4879522619 2.24926052352 0.819162160
#> 22 0.394172603 2.705463860 1.5765173892 -2.23551134575 0.766694195
#> 23 0.264475413 1.803623549 -0.5067225816 -0.79359922024 -1.034024210
#> 24 -0.829817301 3.107205205 -0.2996131328 0.78052177763 0.550563618
#> 25 -2.279358148 -0.729414645 -0.2559134248 -0.49760962224 -0.172702444
#> 26 -1.840345192 1.038731900 0.2092184675 0.66193807563 0.052848853
#> 27 -1.964631071 -1.658782021 -0.2963973856 -0.25065342028 0.344610692
#> 28 4.915914180 -1.046750075 -0.3005464398 -1.75082201834 0.746524222
#> 29 -2.530004007 -1.392183900 0.0027641010 0.03801052558 -0.356248088
#> 30 -0.404825963 -0.871829079 -0.9118676582 -0.89443460372 -0.433423498
#> 31 -1.575934706 0.850075850 1.2922364125 -2.11917355804 0.348543489
#> 32 -0.708691687 2.673387286 0.7438795787 1.08515859790 -2.474760551
#> 33 2.184090728 -0.084432512 -1.0421535068 -0.53579958170 -0.952074112
#> 34 -2.528970651 0.551784655 -0.0261295199 -1.03470212371 -1.416264697
#> 35 1.464999920 2.007016851 -0.6037885857 -0.47975061457 0.080337186
#> 36 -2.812669995 -1.223791939 -0.2607752489 0.71312478221 2.274322692
#> 37 -2.109935259 0.065058718 -0.4033764859 -1.23052077319 -0.467617742
#> 38 2.265832557 -0.112516183 0.9963373977 2.34550558692 -2.944637831
#> 39 3.695043931 0.029277254 -1.7117630277 1.16603334094 0.106663174
#> 40 -3.145413135 -1.153369475 0.0994469250 -0.08350560887 1.381810634
#> 41 -2.563776082 0.063455384 -0.2604808639 -1.41720101318 -1.535991775
#> 42 -3.052716484 -0.949379683 0.0778827797 0.04128251320 0.093258465
#> 43 3.573354763 -1.881073778 -2.8385914010 0.48283024952 -0.235373194
#> 44 -2.276750235 -1.962709180 1.0356163810 2.49319135577 1.489039162
#> 45 -2.935283407 -0.722271804 0.1019633255 -0.48503963488 0.843211305
#> 46 1.305787977 3.346438085 -0.3089226224 1.25435771995 0.981101347
#> 47 0.768423382 0.621916971 -1.1601743943 -1.22848015690 -1.680236903
#> 48 4.627127318 -0.374173863 -1.5032271371 -0.22767220262 -0.349993622
#> 49 -2.635162162 -1.138099738 0.0649248431 0.02856042536 -0.180976214
#> 50 5.881043796 -2.532139454 1.0391565513 3.13114207319 -2.049354371
#> 51 0.057531555 1.784460877 -0.6284975264 0.73560065965 1.096423304
#> 52 6.866972036 -1.092028476 0.2196820335 0.05867442782 -0.487003379
#> 53 3.201297093 -1.231786688 -0.4823254179 0.70822876130 -1.651130356
#> 54 -2.596013830 -1.995968954 -0.0639713665 -0.41698305127 -0.562397316
#> 55 -0.503673849 1.966107862 -0.0734324073 -0.14431148499 0.454355083
#> 56 4.311356378 -1.447448393 3.1941874957 -1.16520383806 -0.567610771
#> 57 0.022288752 1.159245522 -0.4575655802 -0.25795633314 0.168099702
#> 58 1.179474045 2.832422801 -0.3809554274 1.00813879266 -0.851063823
#> 59 0.238256511 1.741406043 -0.0827763549 -0.93361569804 -1.970048859
#> 60 2.380069149 -0.256861720 -1.4693281659 -0.46488869772 -0.668351675
#> 61 -2.633188981 -1.505017485 1.1096434935 0.12779386733 -0.329459221
#> 62 -3.132854864 -0.158890656 0.1940641412 -0.60075108713 -0.894002651
#> 63 4.515968547 -0.725873986 2.0450164895 3.40425107990 -0.903757681
#> 64 1.318978008 0.987839935 -1.2249429962 -0.33908745879 -0.905048769
#> 65 1.590132488 2.440161695 -0.7231973244 0.44827900435 1.063248115
#> 66 2.855169471 -0.351894444 -1.4112372301 -0.22390087749 -0.877523073
#> 67 2.265872450 2.317641227 -1.4057760138 1.13245882516 0.350088533
#> 68 -0.159519629 2.799311381 1.6163730464 -0.57872974944 2.540085627
#> 69 -1.539469429 -0.636493478 -0.8190327126 -1.85914246266 -0.862608707
#> 70 -2.834505283 -1.501321101 0.0446359384 -0.58949923282 -0.322255366
#> 71 3.949046761 -1.151656481 0.0890919282 0.88680409958 -0.711844165
#> 72 5.583707286 -2.006560426 0.4068661071 2.65339893122 -2.091194869
#> 73 -2.572535616 -2.197686140 -0.6729120655 -0.29050226372 0.024512324
#> 74 0.374856828 0.639761858 2.2377099349 2.68485751331 -1.754333593
#> 75 -2.522129183 -0.579445916 0.1726595968 0.69526078999 0.903633971
#> 76 -3.106946899 -1.222483625 0.2428878811 -0.39568155475 -0.508701420
#> 77 -2.915812132 -1.043831767 -0.2648703554 0.45445728079 2.343665082
#> 78 -0.404825963 -0.871829079 -0.9118676582 -0.89443460372 -0.433423498
#> 79 2.702744522 -1.313253491 -1.3528979932 -0.20098541253 -0.823134477
#> 80 -2.818913059 0.448327439 -0.3216305487 -1.05489808783 0.339900627
#> 81 -2.210782310 1.652277287 1.6779930365 -0.95009572529 1.376663597
#> 82 0.292397094 1.617056461 4.0947288401 -0.21002823551 -1.112095451
#> 83 4.550132170 -1.749128736 -0.7879713036 -0.45133960824 0.838293724
#> 84 -1.035352618 0.157174485 -0.8416184705 -1.99095826810 -0.409855926
#> 85 -2.755679058 -1.203455768 0.0731102606 -0.57895662565 -0.358425936
#> 86 -2.652560475 -0.534558936 -0.1665083864 -0.54242423065 0.738933818
#> 87 -2.737530097 -1.527936321 0.0273756446 -0.23359112077 0.284381709
#> 88 0.183014678 2.946496223 1.4561267061 -0.77487988318 0.629289819
#> 89 -2.627402492 0.138791577 0.1646357459 -0.29294134539 -0.871787803
#> 90 3.604335367 -0.683520430 -0.5851989922 0.07007669289 0.835886615
#> 91 0.074996208 -0.909220443 -0.9432111799 0.10518762424 0.522198141
#> 92 -2.378632600 0.121079591 -0.0573162613 0.10548085212 -0.622615944
#> 93 -2.291919069 0.572141675 -0.1592740413 -0.92735836863 -1.480123483
#> 94 4.347132888 0.461426177 -2.6532696541 1.40100051623 1.222849606
#> 95 2.144946051 0.264900671 -1.3627463031 -0.73537293039 -0.288789967
#> 96 3.263092048 -1.381099584 -0.3899069703 -0.40295261911 -1.925067920
#> 97 -2.959202556 -2.079248743 -0.4978816845 -0.37268217063 2.135542343
#> 98 -2.165464862 1.234955779 0.1744168354 0.04204000133 -0.277539695
#> 99 2.040690546 2.226532371 -1.7717400704 0.68039097149 0.646482644
#> 100 -2.343985986 -0.951685272 0.3066236374 0.44632131482 -0.589191811
#> 101 2.192667822 -0.742571221 -1.5692937257 -0.57125187889 -0.900478016
#> 102 2.580356837 0.422809471 -1.5101120489 -0.17670923342 0.207532051
#> 103 2.779939532 0.048861539 3.1819590907 0.84064421165 0.730095163
#> 104 0.214349081 2.686531344 1.4696176635 -1.18258196746 0.803901190
#> 105 3.152921655 -1.040988837 3.1503710125 -1.38585681219 0.919539459
#> 106 -0.903443152 0.551256828 0.3277705432 1.30871034389 0.891655288
#> 107 -2.251091623 0.401352316 0.0413393475 -0.41380146204 -1.386192654
#> 108 5.624333084 -3.031991748 0.6420325466 -1.41483842839 -0.093437490
#> 109 0.163893230 -0.410961376 -1.4028524988 3.18014685137 3.515553176
#> 110 -2.660961543 -0.472486961 -0.6195130796 -0.40072643116 1.511097859
#> 111 -2.838313175 -0.910938830 -0.0325763883 -0.36662278061 0.059935898
#> 112 1.035202810 1.889090980 -1.3160130493 -0.39121837533 0.126008047
#> 113 -2.171583795 -1.010807779 1.3105314142 0.79943747724 -1.906597801
#> 114 -3.604848591 -1.535637897 0.2633965458 0.17067450109 1.196101947
#> 115 -2.899972298 -1.367417897 0.0377030978 -0.49888029096 0.002156987
#> 116 5.689431735 -1.265414993 4.0428008636 -1.03982454996 0.669179976
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#> 326 -1.640423520 -1.532232311 -0.1454552150 -0.02294137553 -0.865711040
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#> 328 0.257712153 1.316496284 -0.9064012615 -1.77674893781 -0.651323898
#> 329 -2.959524500 -2.473152203 2.0528894101 2.62237552455 -0.766638821
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#> 333 -2.939622295 0.287462144 0.1799954086 0.08667122555 -0.764667160
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#> 337 1.626931596 -0.627707834 0.6556431257 0.22198961778 -1.883052019
#> 338 2.550900979 -1.174557268 -1.4644193991 -0.80876791294 -0.388073629
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#> 340 -2.976577802 -0.125560426 0.0117362939 0.27194018573 -1.010836416
#> 341 -1.539049361 1.210408505 1.1436706978 -2.73986948831 0.198378323
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#> 344 -0.368868925 2.288397381 -0.6985987302 -1.20116799094 -1.105590127
#> 345 6.612149452 -0.802312246 -1.5675827113 -1.27975174107 1.553711325
#> 346 0.244257529 1.628041506 -0.2550325770 -0.35782001825 -0.789347587
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#> 350 0.722048496 1.302149029 -0.7419852511 0.06817976470 -0.402423181
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#> 352 -2.754638433 -1.044421123 0.0102352773 -0.14093661748 0.164685007
#> 353 4.506842122 -0.522008486 -1.7954006992 0.67300528324 0.075920928
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#> 356 -2.062301426 1.639365542 0.1028751899 0.76768214378 1.169995244
#> 357 -2.543392723 -1.796949511 0.6861521294 0.74487484782 -1.901576393
#> 358 1.854936088 2.737738143 1.5300101041 -0.56176794011 0.770242763
#> 359 -2.529106049 0.137165857 1.5715237971 1.24823428323 -1.847404599
#> 360 -2.488150195 0.734890066 0.1360222876 0.34291919576 0.190577229
#> 361 -2.144920883 -1.672440000 2.1162086190 2.31864352949 -2.878767678
#> 362 -3.066655844 -1.795734719 0.4278786837 0.35437322196 -0.411417305
#> 363 2.043664454 1.726430678 -0.3899195549 0.05251568790 -0.365281774
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#> 367 -0.784781510 0.107900415 -0.5441670305 0.43559721404 -1.167924223
#> 368 -2.938521612 0.985653352 -0.0643883257 1.58974471814 3.026137235
#> 369 -2.604710358 -1.977993246 -0.0593837679 -0.70676872480 -0.927399220
#> 370 -2.855300741 -1.092267164 0.0717970618 0.09056061685 -0.736587217
#> 371 0.068728220 1.776474304 2.6654341043 0.34332557578 -0.148684220
#> 372 2.409898070 1.886796983 -1.5466667699 -0.19942428230 0.437687675
#> 373 -1.898867813 0.788112602 -0.4339918693 -1.55926567681 -0.969344731
#> 374 1.168630140 1.325691446 -0.3590766302 -0.12491539489 -0.187615680
#> 375 5.338512992 -2.371680704 -0.5640294408 -0.72481106725 -0.018013951
#> 376 -1.415183132 -0.896808020 -0.0925391386 -0.35281648134 -0.217843798
#> 377 2.992568416 -2.018964300 -1.9644701543 0.62757250925 0.340215707
#> 378 -1.176297053 0.242900100 -0.5619630145 -1.54173914557 -0.344456911
#> 379 1.202707726 1.694437392 -0.9373178398 -0.79859133070 0.476821256
#> 380 3.213426472 -1.031398503 -0.8828050896 -0.50003901121 0.823889195
#> 381 -2.311740116 0.931656037 0.1729734346 0.42482332166 0.061143398
#> 382 -2.952958011 -1.652198608 1.4014943894 0.95945076876 -0.003353745
#> 383 -3.059830617 -1.751715148 0.1180055852 -0.10660849141 0.232969116
#> 384 -2.463098417 -1.575114359 0.8518540540 1.85300163452 1.703745466
#> 385 -2.770377336 0.402890437 -0.3428499960 0.08798461557 0.650248831
#> 386 2.631226052 0.022434739 -1.2304166833 0.30499566923 -0.188280240
#> 387 -2.111086421 0.741146798 -0.2331036882 -0.00561843718 0.096162773
#> 388 -0.768136025 -0.223253430 -0.6019122473 0.18508413635 -0.283144552
#> 389 -0.744699586 4.271126876 3.1436133979 0.80252212844 -0.745789693
#> 390 -2.646928013 0.006701980 -0.1778016106 -1.19339216600 -0.327806959
#> 391 -2.543889971 -0.968412532 1.4969172169 1.26880320600 -1.352695755
#> 392 -1.412654084 0.786972407 0.1073715844 0.27833794314 -1.128411488
#> 393 -3.052483743 -0.977151290 0.3937998880 0.04377693455 0.075141139
#> 394 -0.678809284 2.827510293 -0.2075835789 -0.38791244336 -0.361346896
#> 395 -2.592610451 -1.928933458 1.0436644670 1.83085341972 0.915959949
#> 396 1.361805033 0.380848541 -1.3997896753 0.21867377468 0.631726872
#> 397 3.518321463 2.530667972 1.2400044807 -0.06093816088 -0.140724943
#> 398 -0.587747801 -0.996058049 -0.8583470997 0.94440441702 1.247062858
#> 399 1.810820740 1.380759581 -1.0207069941 -0.79521490018 0.120104577
#> 400 2.646085625 -0.111502657 -1.5629392258 -2.11044447128 -0.766549959
#> 401 -2.582312772 -1.850499660 0.4654975207 2.16727578546 0.391824461
#> 402 4.418503916 -1.506280864 7.1685321555 -3.47424268874 3.187484308
#> 403 6.546328852 -2.384572165 1.8114009774 1.21074456208 -0.346362976
#> 404 -0.589771966 3.396203599 0.5563953799 2.04915182499 1.013825176
#> 405 -2.768154203 -0.896795870 0.2010557616 -0.14906724111 -0.103126785
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#> 407 -3.376522598 -1.499103198 0.1367126778 -0.36986251384 0.925508491
#> 408 4.216465396 -1.095041978 3.0282768164 -1.61886034667 0.309416214
#> 409 5.097583766 -0.041503008 0.5763551902 -2.48951612947 -0.504561826
#> 410 -2.989078705 1.374063852 0.0797809395 -1.04313301740 -1.446324133
#> 411 7.299830094 -2.280540455 1.6042266620 -1.65498399464 2.144412635
#> 412 1.927505800 -0.661154288 2.8652747518 -1.06831545220 2.035151248
#> 413 -3.100444687 -2.207985443 -0.3063693751 0.41441285987 2.123399344
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#> 415 4.878276084 -0.901017344 8.6266526983 -3.42833343754 0.348614754
#> 416 -0.429464948 0.646358140 0.0359931616 2.40962443333 1.834288964
#> 417 1.858868723 3.655682107 -1.2385617308 4.04969559459 3.954512066
#> 418 2.545577310 1.439155103 -1.2256534831 -0.09380109820 -0.232630809
#> 419 -2.634204736 -1.089401026 0.0514750033 -0.35248917850 -0.912823172
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#> 422 -0.730448929 2.194249492 0.2032541343 -0.05261088867 -1.570491718
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#> 424 -3.408103501 -1.819672568 -0.1972742622 0.58372467098 2.852294859
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#> 428 -3.066655844 -1.795734719 0.4278786837 0.35437322196 -0.411417305
#> 429 -2.792209770 -1.587095385 -0.4831024210 -0.37231012607 2.053946344
#> 430 -2.672342806 -0.734237632 -0.0759461396 -0.90447878817 -0.855238892
#> 431 -2.087973857 -0.399555359 -0.0018552387 0.09195348519 0.402612643
#> 432 4.873520394 -2.476295746 -0.5772104442 0.94251972231 -1.175676384
#> 433 -3.019483653 -0.998908269 0.2994031240 0.21753978029 0.038207715
#> 434 0.198390516 1.077889488 -1.3202476939 -1.59640521895 -0.107462056
#> 435 1.522332236 1.892645590 -0.9855697229 -0.48982816834 -0.720538070
#> 436 1.697618762 1.604983583 -0.5134792906 0.59777108575 0.154804651
#> 437 -2.425543414 -1.248029067 0.0406225102 -0.39353151295 -1.110972609
#> 438 -0.057542218 -0.577543380 -1.4983684849 0.01186917807 2.131754455
#> 439 1.431256372 1.626320064 -0.4034148217 0.44124053127 0.388575526
#> 440 -1.824789539 2.951265189 -0.2245214730 0.81519495853 1.359507513
#> 441 6.801686150 -1.916896103 1.7052313530 0.67057258093 1.300175417
#> 442 -1.354050518 -0.999905514 1.7972677885 2.78335159590 -0.455125718
#> 443 -0.568763260 0.828214102 -1.0651754907 -1.85155811194 -0.918428564
#> 444 3.338377344 -2.370058765 -2.4460762527 0.66221789769 2.281085400
#> 445 1.115351920 0.624881099 2.2598174110 0.63969470853 -1.083350978
#> 446 3.704314943 -0.796624002 -2.6319077321 -0.37613237375 -0.980723739
#> 447 -1.743096235 0.812318300 -0.0887091265 -0.78551323213 -1.741192277
#> 448 4.753450111 -1.323817687 -1.7414483236 1.94742388774 -1.067060770
#> 449 -2.339858886 -0.729424886 -0.0537872880 0.19063830173 0.561433608
#> 450 2.314371384 -0.789258476 -0.9024152802 -1.55770828232 -0.604559142
#> 451 4.057083547 -0.248054314 3.7899087837 -2.17686985620 -0.546028761
#> 452 -3.108012525 -1.243284181 0.4038269043 -0.08439917601 -1.076126761
#> 453 -0.046670114 3.032849135 -0.8342892327 -0.97221710827 -0.070964519
#> 454 0.324481007 0.958522562 -0.1660903771 0.28798475189 1.690327197
#> 455 4.272952691 0.952100085 -2.0676038272 1.06860036151 1.006590874
#> 456 -2.806100209 -1.738947729 1.4880224583 0.61745358134 -0.754058230
#> 457 0.992706689 1.658758708 2.8636646716 0.73293297489 2.206112223
#> 458 -2.950261125 -0.078738600 -0.1300738463 -0.73250350737 0.780051006
#> 459 -2.928056160 -1.972928844 0.0544485647 -0.21791300767 -0.111401971
#> 460 2.062575701 2.287189658 -1.1871099507 0.51465451126 0.222649659
#> 461 -2.512787656 -0.273282230 -0.3098059934 -1.01308885223 -0.812092517
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#> 464 -1.095833219 1.160092381 0.2477959981 2.05838403079 1.418504365
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#> 467 -1.479526585 -1.031283564 2.2742900631 3.57406108177 -2.057658176
#> 468 -1.385181446 1.009131088 -0.1680315722 -0.33788311009 -0.075230225
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#> 471 0.666987581 0.877264498 0.0355032028 -0.13859921521 -0.292012854
#> 472 0.544193616 1.617981181 -0.5935063774 -0.27120111342 1.017000351
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#> 475 4.000632569 1.332985357 -0.9071665464 0.02177242580 -0.338530558
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#> 477 4.371293282 -0.490375851 -0.2118002366 -0.86850947703 0.709916307
#> 478 0.053624057 1.637648600 0.0658718880 0.28572860156 -0.347793824
#> 479 0.714409743 1.704404440 1.3527764974 -1.79192595175 0.179898507
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#> 481 -1.803970178 -0.401032566 -0.3118957679 -1.11376823421 -1.570256532
#> 482 2.481325447 0.963789183 -0.0952800430 -1.05615725999 0.455111604
#> 483 1.947645942 1.947188951 -1.0470429570 -1.27789959138 -0.406150234
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#> 487 -1.373349095 -1.929594335 -0.5934171727 1.66544876132 1.727608583
#> 488 1.587724675 0.210626291 -0.1541203581 1.02803709696 1.921319448
#> 489 -2.031489422 0.393766095 -0.4511718830 -1.80041274953 -1.034461751
#> 490 2.088377681 1.667725726 -0.2294410706 0.51221052635 -0.676445216
#> 491 2.937056906 -0.353586930 -2.1780391631 -0.28147207815 0.347221399
#> 492 3.321418488 -1.542811705 -1.8284935681 -0.16245330652 0.205600519
#> 493 -1.995075383 -1.437681887 -0.2204102747 -0.42350775270 0.955788154
#> 494 1.467154503 2.028282480 -1.3732466870 0.76685368655 -0.325522288
#> 495 -2.052411106 -0.789992553 0.7887214517 1.56536824458 0.426490130
#> 496 2.417596682 0.125566003 -1.4826415845 0.55848552202 -0.871256859
#> 497 -0.723341529 2.980174942 1.0599406258 -1.84840977690 1.256521617
#> 498 5.307971978 -0.963993992 -0.3533988913 -1.55655168824 0.535031825
#> 499 -1.016269454 2.479773254 -0.1708743503 -0.32840535057 -0.192236616
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#> 501 -2.591456432 1.124601693 0.2340640151 0.22350016536 -0.416913339
#> 502 -3.001552913 -1.809037480 0.1062704823 -0.05907717113 0.395262645
#> 503 1.472673999 -0.442765540 -1.0928760298 -0.96391732175 -0.920527932
#> 504 5.208634170 -0.793420289 1.4608170568 -1.82235564535 -0.459216479
#> 505 -2.888584783 0.312350239 0.0315218222 -0.44467430151 -0.630822187
#> 506 2.688515440 -1.308699739 0.0081814972 1.89097578221 -0.390854182
#> 507 -0.726915725 -1.019964865 -0.4650650255 -0.03654203439 0.783608182
#> 508 3.287327357 0.561409556 2.6678510156 -2.89129223447 1.378471117
#> 509 -1.853777709 -1.416468335 1.1190928740 1.53676052700 -0.025257737
#> 510 -2.997833816 -1.544265439 0.0471398907 -0.34859602876 1.071094325
#> 511 2.330617414 0.073754441 -0.7014204833 -1.41264340534 -0.778512572
#> 512 0.206407262 -1.040043335 -1.0746136679 -0.81562860403 0.401877935
#> 513 3.934474051 -0.817620955 -1.2361648850 1.43449410037 -0.653539091
#> 514 -0.955115517 1.994062094 -0.5180119141 0.39614017180 0.757584632
#> 515 0.430609814 0.097420618 -1.5495538205 1.03479552833 1.462443477
#> 516 2.601593471 -0.118992536 -1.5108904363 -0.72039254138 -0.945073091
#> 517 -0.825145126 2.872273930 1.8540978386 -0.08186976144 2.191186973
#> 518 -1.184607437 0.652107532 -0.5322649398 -1.03416429386 -0.190265449
#> 519 -2.812634668 -1.302610072 0.1100802287 -0.01500782966 -0.059728178
#> 520 -1.138814670 2.093896145 -0.3554592237 -0.59259780845 -0.071563800
#> 521 -1.931135608 0.132558224 -0.1734111574 -1.10869715838 -1.253339303
#> 522 3.345105550 -1.640187890 1.2612109843 0.62038296892 -1.550038433
#> 523 -0.593250209 0.140865694 -1.3877479409 -1.25974383829 0.324398856
#> 524 -2.806816947 -0.837186599 0.1568894526 0.48032888771 0.324211210
#> 525 -2.998057239 -1.180111435 -0.0694719296 0.93591243764 2.016235771
#> 526 -1.524340558 0.568666895 -0.2001267545 -0.21791093915 -1.007141972
#> 527 -1.136601085 -0.823938964 0.1547591698 0.88209704202 -0.107659197
#> 528 4.234418894 -0.478387784 4.3064359159 -1.47497954916 0.393996123
#> 529 1.210518649 0.186040035 -1.3680281362 -0.41189490171 0.243077885
#> 530 -2.844910918 -2.013664755 -0.4730269161 0.11916327619 2.744276237
#> 531 3.802330042 -1.814191789 -0.4612075661 -0.10782848393 -1.810947508
#> 532 -2.079214043 -1.188008758 -0.2557521881 -0.52548951510 0.790776459
#> 533 -2.684288166 0.209853907 2.1184388260 2.60672231507 -1.516824233
#> 534 -3.067587277 -0.095371995 0.0157639504 -0.57327540132 -0.181685209
#> 535 -2.412145752 -0.539367168 -0.6889124012 -0.64730170818 0.440957304
#> 536 -2.359667904 -2.123654827 2.3254624520 3.30400976468 -2.271017045
#> 537 -0.272538501 1.361996267 -0.2096772196 -0.46335196137 -0.295411913
#> 538 -1.913132103 -0.546059935 -0.3181024832 -0.56134894816 0.207298169
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#> 952 -2.572992851 -0.449510365 0.0703994126 0.01731895201 0.562914944
#> 953 -2.815314588 -1.503719140 1.3723728680 0.33244570020 -0.544949591
#> 954 0.002135331 0.715798095 -0.4186861448 2.33188321485 1.916404299
#> 955 3.404953918 -1.897771149 -2.0748969187 -0.14022015182 0.393617359
#> 956 -3.072310974 0.786558288 0.2474133709 0.24511407314 0.364820688
#> 957 -3.184779688 -1.564572401 -0.0240209041 1.83087854550 1.474352280
#> 958 0.221476322 0.789223660 -1.0641301245 0.63319479703 0.205593328
#> 959 4.141595692 -0.722078219 -1.9833342832 -0.87052892014 0.822628729
#> 960 2.877548712 -0.857101690 -1.6639213076 -1.43388650963 -1.143583545
#> 961 4.678901442 -0.954582544 -0.1161867186 -2.19732573203 0.266241320
#> 962 -1.682395804 2.174732322 0.2259894441 0.97828224289 1.068553638
#> 963 -2.220965210 0.855833783 -0.4726876305 -0.96308836290 -0.511665240
#> 964 1.631815242 3.075561303 0.4640929102 2.63129331106 -0.375919033
#> 965 -2.646765452 -0.792133622 -0.4551140917 -0.80818466132 -0.237780534
#> 966 -3.827458418 -1.078730150 0.7752448592 0.11380508998 -1.062761571
#> 967 -2.787332940 -1.303046272 0.0896875155 -0.28527372178 0.069049817
#> 968 2.447115555 1.549196253 -0.8300724188 1.05997999953 0.407374291
#> 969 6.458300254 -1.663828728 1.5326806217 0.96436099527 -1.077542811
#> 970 -0.355948669 0.802597538 -0.5142461104 -0.97773923198 -0.155932788
#> 971 3.909024920 -0.965322364 -1.0173435194 -0.29423811774 -0.117895787
#> 972 7.071213576 -1.222505795 3.7427957238 2.43577468147 -0.535160562
#> 973 3.938490725 -1.566377934 -2.1420457325 0.60306415240 1.026305253
#> 974 -2.631379836 0.381584384 0.0691567585 -0.56189258392 -1.957209534
#> 975 5.801351774 -0.877109542 8.0447556779 -3.66525083347 0.162168200
#> 976 -3.238508352 -1.923550558 -0.1100084384 -0.03065237479 1.199652854
#> 977 -1.077011862 0.694000070 1.2956154779 3.12431340709 0.470959892
#> 978 1.450281300 -0.674542719 -1.3048556287 1.24237884242 1.058379150
#> 979 -1.738667027 0.433980210 -0.4041614417 -1.33287532214 -1.646715481
#> 980 -2.536851384 -1.908061658 -0.0319140186 -0.43282934720 -0.013541467
#> 981 3.279633109 -0.671199661 0.7257945069 -0.18986953487 0.726470180
#> 982 -2.429098489 0.658679375 -0.4835683864 -0.84725686847 0.106197519
#> 983 1.459465409 -0.431802728 0.1862541432 2.88449986578 -0.584034330
#> 984 -0.768976558 1.554923687 -0.4456680789 -0.50453962541 -1.340047160
#> 985 1.856502470 0.951328808 3.5454555981 -1.41944635332 -1.022625082
#> 986 4.653858778 -2.709885400 3.5050934121 -0.42314044578 -1.331961333
#> 987 0.851965716 0.012649100 3.0422351542 4.89402336897 0.590103556
#> 988 -2.985113116 -1.336784918 0.2179098796 0.45248088176 0.663357457
#> 989 -1.540467692 2.209562450 -0.0412825147 -0.00965452697 -0.075395545
#> 990 0.683081749 0.686967628 0.9341707736 2.60531312606 -2.910281043
#> 991 1.786168079 1.579171315 -1.3939627793 -1.09743396422 0.089414930
#> 992 4.386021517 -0.145152339 -0.0476109882 -1.37021045641 -0.032205707
#> 993 -2.964294005 0.508739759 0.9405455095 1.80804193502 -0.708949301
#> 994 -2.914128004 -0.107178760 -0.0074270822 -0.88901625573 -1.196029432
#> 995 6.672583712 0.144785904 2.6650846446 -0.44493819759 2.464156302
#> 996 -1.505956327 -0.286793642 -0.7136579678 -1.84248190074 -0.370531880
#> 997 -2.147537748 0.723629747 0.4165594703 1.85581078837 0.815750849
#> 998 -2.341724518 0.383317645 0.0299857220 -0.58974269811 -0.696617784
#> 999 -2.636294746 0.334807852 -0.0444405927 -0.44780314009 -0.335222021
#> 1000 0.493670876 -0.297756697 -1.3782767809 -1.39314893439 -0.582181010
#> 1001 4.418182257 -1.998397833 -0.9267133299 0.21311998187 1.768029659
#> 1002 -0.761657398 -0.821792723 -0.8493933087 -1.76012040263 -0.099212809
#> 1003 -2.961038713 -1.223328672 0.2775885684 -0.15767275384 -0.318475582
#> 1004 -1.844695871 -1.303728678 -0.2744831129 0.01651581571 -0.778993852
#> 1005 -2.609133066 -0.466674322 0.0155278297 -0.23158034110 0.872038303
#> 1006 -2.976347440 -1.009506022 0.0519527078 -0.61120396742 0.874801701
#> 1007 1.163240240 4.326442486 1.2168459885 1.96730719343 0.157510689
#> 1008 -2.197699253 0.059098688 -0.3673362506 -1.46221080373 -0.631961840
#> 1009 -3.027974016 -1.067502447 0.0299716623 -0.05183537177 1.023008440
#> 1010 1.566253733 0.750677546 -1.5156716947 0.41884981112 -0.261959106
#> 1011 -2.186927619 -2.037228999 2.0692256256 2.34757916803 -2.114181202
#> 1012 -3.167891174 -1.920723503 -0.0604697343 1.11541125056 2.128323592
#> 1013 -2.258757373 0.047580645 -0.2030229795 -1.23772691315 -2.388581096
#> 1014 2.533455165 1.983940900 -1.1524087141 1.32454596133 2.036123274
#> 1015 4.872793049 -2.051387032 0.7683004445 0.50942012786 -0.670800253
#> 1016 5.522472186 -1.741714801 -0.9865877668 1.25083324074 -1.111234526
#> 1017 2.307138371 -1.103657200 -1.4080906017 -0.40050157062 -0.629380403
#> 1018 -3.020861873 -1.803264387 -0.3290662693 -0.03071194445 2.371387897
#> 1019 4.550132170 -1.749128736 -0.7879713036 -0.45133960824 0.838293724
#> 1020 -1.104892502 -0.684701299 -0.4164075683 0.62272822359 0.239126994
#> 1021 -2.356987857 1.039130935 -0.2839380867 -0.63578386954 -0.341339125
#> 1022 -2.602437819 0.390519461 0.2937509287 0.14428998613 -1.102638963
#> 1023 -2.186166899 -1.933275678 2.0731157284 1.79473857371 -2.346155795
#> 1024 0.401475820 2.316840077 -0.8191088193 -0.28086323862 0.454954399
#> 1025 1.240468841 1.166030384 -0.2707822391 1.32914906456 -1.159519469
#> 1026 -3.009855056 1.048023238 -0.2501335530 -0.51414189973 -0.226633077
#> 1027 -4.176042324 1.866215336 1.3776384777 4.04960087518 2.405254811
#> 1028 2.868187718 -1.055386880 -0.2336695771 -0.62252135712 0.239508819
#> 1029 -2.565500502 -2.066503996 1.4171127041 0.63175518893 -0.932187551
#> 1030 -2.176901241 0.692058893 0.1219077439 -0.20209238157 -1.624571236
#> 1031 -1.758078416 0.140952878 -0.7949008503 -1.54592196495 -0.045881660
#> 1032 3.481174913 0.681185753 -1.8688258195 -0.31531812132 -0.776693988
#> 1033 -0.549758235 0.142371631 0.8093424369 3.15890713023 1.240088091
#> 1034 0.450223220 3.008628039 0.9850867035 -1.29721406512 2.130378069
#> 1035 4.418182257 -1.998397833 -0.9267133299 0.21311998187 1.768029659
#> 1036 -3.197928663 -0.387432610 1.0098129156 0.93999064336 -1.651419530
#> 1037 5.055065658 0.960299369 -0.9826448148 -0.02447255918 0.406081107
#> 1038 -2.587325359 -1.058050314 1.1180059405 1.38198800705 -1.020377355
#> 1039 -3.029136441 -1.500327431 0.0564524127 -0.42724520639 0.748688772
#> 1040 1.793609748 -1.130137471 -1.0192252118 -0.82854240661 -0.212257780
#> 1041 -1.625834676 1.492272411 -0.1597601963 -0.13189913438 1.097850448
#> 1042 -1.132019645 0.439929411 -0.0978081473 -0.96523586290 -0.717432378
#> 1043 2.492366525 0.303823904 -0.8991557930 -1.05208605941 -0.834443456
#> 1044 2.307660749 -1.958032131 -1.8380520249 -0.66777319893 0.763618847
#> 1045 0.398616674 4.663345237 2.2505250829 0.12160412839 1.261509171
#> 1046 2.210947274 2.959960329 0.1043995425 1.65619119673 -1.461724958
#> 1047 1.322496800 -1.436019538 -0.0419877417 1.67107329656 -0.805712210
#> 1048 -2.613830392 -0.592884884 0.7748791854 1.11597873917 -2.049918879
#> 1049 0.277825908 0.719122207 -0.6855214419 -1.51681020175 -1.022239190
#> 1050 -3.063874741 0.501898380 0.0653345540 -0.24216134910 -0.516297699
#> 1051 5.741551256 -3.132389902 1.4269594479 3.17316527005 -2.269898636
#> 1052 3.672463670 2.515200906 -0.8415906544 2.72245830675 1.818741423
#> 1053 -2.718155168 -0.608863147 -0.1238847762 -1.11554574208 -0.721818103
#> 1054 1.733682428 -0.679247072 -1.3507956666 -1.05963600991 0.223359210
#> 1055 -2.866046560 -0.566419752 0.0830632405 -0.35288975691 0.803756617
#> 1056 3.599589565 1.700782175 -1.6012384120 1.47048752125 0.276174218
#> 1057 0.776065905 2.418943407 -0.6765755836 -0.35964226987 0.456075708
#> 1058 -2.120709686 0.854391354 -0.5744250452 -1.76049546785 -0.372059539
#> 1059 -0.312935410 0.385553313 -0.2677951213 0.01958489860 -0.682206103
#> 1060 6.481942104 -1.380998321 -1.0165695878 -0.16470793070 0.064037763
#> 1061 3.835390793 -1.144018558 1.3011607761 0.44314309227 -0.487317653
#> 1062 -3.281527292 -0.725033797 -0.0322176745 0.32797961170 0.965897391
#> 1063 -0.898461483 -0.341650210 -0.1194756151 0.18861425210 -0.887424701
#> 1064 -2.924674219 -1.373324178 0.0368505996 -0.66457117396 0.508704442
#> 1065 2.304288932 -1.192115033 -1.8616870636 -0.05746566544 -0.634349720
#> 1066 -1.428958482 0.537492711 1.5360936674 2.29656798390 -0.006996964
#> 1067 3.263463370 -0.767122871 0.0003104949 0.47518252714 -1.704978575
#> 1068 -2.688431491 -1.727607211 -0.3426687712 -1.26658729829 0.779681107
#> 1069 5.365883089 -1.635834573 1.4487099591 1.13327065925 -1.634104403
#> 1070 0.999909825 2.398040484 0.0306834885 1.50425136626 0.940214797
#> 1071 -2.876721942 -0.291721123 0.0274606182 -0.42424092192 -1.572422561
#> 1072 4.310052811 -0.848125099 7.3345764554 -2.86671058570 1.958443170
#> 1073 -2.814679619 -1.566055086 -0.0687243278 -0.77953438118 0.738397647
#> 1074 3.689933577 -1.766965933 -0.8690123404 0.92692219592 -2.623309728
#> 1075 4.632673918 -1.184062571 0.3494419650 -1.39533254643 0.623062838
#> 1076 -2.082479859 -1.018495060 -0.2800944727 -0.48219793726 0.088052603
#> 1077 1.472673999 -0.442765540 -1.0928760298 -0.96391732175 -0.920527932
#> 1078 -2.809111888 0.436051709 0.3936304806 0.44955390318 -1.039529666
#> 1079 -1.922026252 0.486843523 -0.2571519688 -0.94908181372 -0.713505016
#> 1080 0.217331219 -0.052052339 -1.0449247014 -0.48825385118 -0.578695018
#> 1081 1.002078907 0.679213919 -0.7229058520 -1.63974650319 -1.667704182
#> 1082 1.618403501 -2.310641739 -1.8139288251 -0.07327410982 1.029381536
#> 1083 -3.174872322 -1.567062404 0.1963319505 -0.34616492042 0.328483667
#> 1084 1.596457556 0.816946074 -0.8660082026 -0.23677032002 0.639567252
#> 1085 6.925427789 -3.905109146 2.0432686862 1.38893960603 -1.407627924
#> 1086 -0.358212975 -0.406040241 -1.1632174826 0.52186006289 1.118590943
#> 1087 -1.204676584 0.411469716 -0.1650358779 1.49000521820 2.303888217
#> 1088 -1.467437736 -0.315261532 -0.2172823278 -0.65042961408 0.531219579
#> 1089 -2.839420828 -1.024236952 0.1718619674 -0.15370509582 0.069641686
#> 1090 3.515838093 -0.853921068 0.0068247392 -1.45371863280 -0.367182646
#> 1091 -1.939059553 0.602582971 -0.3008987289 -1.60241949707 -1.584113043
#> 1092 -2.349059360 -1.378400398 -0.5154415715 -0.04866083981 0.981880100
#> 1093 0.191097980 -0.211311657 1.0082353295 -0.44982041458 2.514020964
#> 1094 -1.068707084 1.883967656 -0.4995395673 -0.10507867928 0.710095364
#> 1095 2.358251565 -0.582435104 -1.5688235330 -1.67426288970 -0.995251235
#> 1096 2.900541389 -2.146751935 1.5571595296 1.97334521195 0.259748187
#> 1097 -2.624863007 -0.389920641 -0.1654895809 -1.09754023537 -0.681856627
#> 1098 5.183073123 -0.413041142 0.1315163240 -2.03334336575 -0.468105359
#> 1099 -3.159304450 -0.899869269 0.2913448908 0.50566886100 0.591163253
#> 1100 2.665037961 1.521726999 2.7790437130 -1.60476691470 1.831193697
#> 1101 -2.566492035 -2.152500700 2.2947658855 2.40277178682 -1.766521633
#> 1102 0.222710826 -1.905507327 1.1980264701 3.07574112281 -1.635412403
#> 1103 -2.340060411 -1.338197670 -0.4296503661 0.13124564328 1.153496889
#> 1104 -0.614206961 1.964281228 -0.2049181900 1.39428415937 3.107972814
#> 1105 1.483274472 0.765989409 -0.8849074619 -0.22170715375 -1.460676965
#> 1106 -2.587037450 -1.003954385 0.2377156331 0.03214347546 0.159181144
#> 1107 -1.471010333 1.268230180 -0.0475486761 0.78887194386 0.141579996
#> 1108 -1.572442438 -1.722697817 -0.4539476583 -0.41795865071 -0.777554669
#> 1109 -0.897332037 1.398137703 -0.4605909792 -0.55678524961 -0.525412260
#> 1110 -1.254480888 1.913111217 1.2926018883 2.05811812576 -0.756058142
#> 1111 2.193791569 1.474123278 -0.4061460040 0.97055559401 0.424371930
#> 1112 -2.702516230 -0.413944656 -0.3355677775 -0.94969590736 0.698035947
#> 1113 -2.647618162 -2.444871723 -0.4474075088 -0.20612524008 0.661808034
#> 1114 2.833379340 -0.587898841 -0.1255535302 1.18725773304 -0.775629078
#> 1115 0.681364131 2.856585612 1.3320573635 -1.88007016034 0.952077452
#> 1116 -3.168850662 -0.164263740 -0.0295678014 -0.80717801749 -0.493503093
#> 1117 -2.497147819 -1.499800496 -0.0923227986 -0.61604896821 -0.061281088
#> 1118 5.291435729 -0.215742358 -0.6096474107 -0.24545751390 1.071255958
#> 1119 5.726794209 -1.677475973 4.5435710246 -0.82948138511 0.963088937
#> 1120 -1.469706213 -0.837855385 -0.5202567955 0.18427550224 2.475444503
#> 1121 -2.908240765 0.770622927 0.1209058321 -0.11503112258 0.469671043
#> 1122 3.354843685 -0.859414595 -0.2860893147 -0.53679002143 -1.472257061
#> 1123 -2.530004007 -1.392183900 0.0027641010 0.03801052558 -0.356248088
#> 1124 -1.143628772 1.394919222 -0.2920087265 -0.82767352631 0.131265879
#> 1125 1.035202810 1.889090980 -1.3160130493 -0.39121837533 0.126008047
#> 1126 -2.442451425 -1.682437196 -0.1446477871 -0.44002482733 0.696962029
#> 1127 -2.920112673 -1.804094609 -0.2148477440 0.50280937190 1.327727363
#> 1128 -2.257224316 0.677054072 -0.2087249554 -0.86397845966 -0.822264888
#> 1129 3.218304319 0.551725085 -1.8328708208 -0.30701179207 -0.660219592
#> 1130 -2.583760168 -0.606921270 -0.1559377457 -0.28212633319 0.541774690
#> 1131 -1.856855386 -1.664366469 2.0017546207 2.33648823312 -1.483843692
#> 1132 -0.589933036 4.288770316 0.4058182016 2.25378681764 0.732597313
#> 1133 -0.875003940 2.171337909 -0.1440199878 -0.73486586907 0.268621967
#> 1134 -2.976525201 -2.258884156 2.4487306179 2.59292568942 -1.941883401
#> 1135 1.919512561 1.647820306 -0.6439161188 -0.30315855336 -0.644790089
#> 1136 3.200794221 1.650445233 -1.5227445104 0.49862772764 1.305778129
#> 1137 -3.153539173 -0.316593540 -0.0560201589 -0.68587705846 0.209316369
#> 1138 5.772499400 -1.568482965 1.0734740296 0.30592621792 -0.569436391
#> 1139 -0.691723710 0.383350469 -0.7910604138 -1.71736368527 -1.404732967
#> 1140 -2.976287359 0.843898084 -0.0144133676 -0.28632590570 -0.067885765
#> 1141 -0.838087840 2.323993061 1.3403074067 2.55513303102 0.254013499
#> 1142 2.793814146 -1.719531908 -2.3947944715 0.53858263638 0.758382340
#> 1143 2.402729740 -1.056095673 -1.3099502060 -1.19904412998 -0.915132313
#> 1144 2.544265732 1.512717910 -1.6749674166 0.04642947627 -0.093558315
#> 1145 -1.041721068 0.766643297 -0.5737865368 -1.17599772858 -0.064403042
#> 1146 -0.589933036 4.288770316 0.4058182016 2.25378681764 0.732597313
#> 1147 -0.171325550 2.113268268 1.3747731780 -1.96910180330 1.223486092
#> 1148 2.200399172 -1.213924704 -1.2363728671 -0.30829848769 0.783539272
#> 1149 -1.771714303 0.754858725 -0.0742262134 -0.62733125703 0.079506676
#> 1150 0.434705250 1.459105251 -0.7917015746 -0.59921980850 0.398505608
#> 1151 -1.774599899 -0.802433233 -0.7825230393 -0.90233360223 0.015072875
#> 1152 -2.770347146 1.543093300 -0.0539364037 -0.17233313430 -0.190558107
#> 1153 2.750730282 -0.187863848 -1.8740676672 -0.86061325085 -0.419808734
#> 1154 2.720764104 -1.294432199 -1.8000152848 -0.79796436844 -0.644245946
#> 1155 -2.813411328 -2.861248123 0.3225035123 1.31645072923 1.232768132
#> 1156 -2.792209770 -1.587095385 -0.4831024210 -0.37231012607 2.053946344
#> 1157 3.078635335 -1.137711949 -0.8638576338 0.82641175945 0.611819899
#> 1158 -0.610041623 2.477645023 1.5560136869 -1.15040034700 1.126600521
#> 1159 -2.958832449 -1.643925131 -0.2421560225 0.60902569997 2.203767439
#> 1160 -1.299676089 1.102964857 -0.6187623437 -1.43901452089 0.092981155
#> 1161 -3.119449434 0.395150732 0.1148359482 -0.94238192953 -0.987976244
#> 1162 0.106442399 0.214521561 -0.8560089640 -0.52718028960 -0.293650761
#> 1163 -2.631702793 -0.021860532 -0.1221895629 -0.10829922213 -0.030205099
#> 1164 6.616049117 -2.539599112 -0.4565537412 -0.04326287628 0.300888052
#> 1165 -0.600905446 2.221334080 -0.3297457666 0.00004654495 -0.979286455
#> 1166 -1.384584750 0.906907664 -0.4728274357 -1.35472934455 -0.410668867
#> 1167 1.359176120 2.606622852 3.2523431196 -0.25046283685 -0.377487830
#> 1168 -2.593984542 0.418589108 -0.5340370282 0.61399578639 0.791120703
#> 1169 -3.098651992 -1.355098887 0.3243831297 -0.19882586174 -1.056481967
#> 1170 -2.914860334 -1.782916715 -0.1185188358 -0.55707484530 0.300001515
#> 1171 -2.392074850 0.188036137 -0.4854376163 -1.37890495770 0.086759638
#> 1172 2.152268577 1.470866379 1.0622976941 -1.28461484776 -1.383797197
#> 1173 -2.105729667 0.842879007 -0.0354033434 -0.57913917472 -0.630740182
#> 1174 -2.368196783 0.209875839 -0.5349311216 -0.68735192090 0.165801698
#> 1175 4.407336864 -1.509528463 -0.3593983874 1.27717594252 -1.496650099
#> 1176 3.277693877 1.951348373 3.9687105858 -1.10298627937 0.577066274
#> 1177 -1.360149290 0.005212274 -0.6448340972 -1.39220671889 -1.663741424
#> 1178 -1.210503123 0.897716761 -0.6441948155 -1.60615478643 -1.152813454
#> 1179 -2.286000616 0.524440268 -0.1451048582 -0.42330058176 0.070047555
#> 1180 1.239793499 1.769990924 -0.3987662720 0.26859051403 -0.292465371
#> 1181 -1.297052648 -0.345707906 -1.1690834733 -0.84550259644 1.197312966
#> 1182 0.841986224 1.005148050 1.9057339965 -0.93981079165 1.313922418
#> 1183 1.593934882 -0.776173737 -0.9802453701 -1.26475882094 0.034425749
#> 1184 3.786278376 -0.071743116 -2.7989063949 2.06289690667 0.588701151
#> 1185 -1.764491038 0.344849196 -0.2160796095 -0.02813927244 -0.335835528
#> 1186 1.525969499 1.550387255 -1.7538502857 1.13249235253 0.157740087
#> 1187 -1.241344995 0.825624513 -0.4991305313 -1.36598440687 -0.877779874
#> 1188 -2.783508406 -1.988804281 2.1565720881 2.38759537972 -1.913950870
#> 1189 1.878589984 -0.697037129 -1.3590111407 -1.84828641851 -0.540844970
#> 1190 0.078063920 2.193337364 0.6502051459 1.33564204545 -0.476789640
#> 1191 4.915914180 -1.046750075 -0.3005464398 -1.75082201834 0.746524222
#> 1192 -2.561143616 -1.617177523 0.0581793979 0.00919587719 0.012311006
#> 1193 -2.178925432 0.939155520 0.3023092584 -0.31818846006 -2.201989612
#> 1194 -2.083778542 0.756605766 -0.2234761526 -0.84020344699 -0.214616544
#> 1195 -0.762372893 2.109305013 1.1530847911 -2.17273590609 1.261907851
#> 1196 1.408759884 0.363495177 -2.2158931717 -0.98047127465 -1.056943107
#> 1197 2.934994122 0.985690551 -0.1204505520 1.62515284240 -1.300713841
#> 1198 4.598617215 -1.087907363 0.4672366366 -1.34519196943 0.576404770
#> 1199 -1.469723297 1.349154945 -0.2465572797 0.38021609481 0.763310340
#> 1200 -1.972932278 0.090644529 1.1972693092 1.14598754476 -1.473767863
#> 1201 0.704044652 0.439975684 -1.0352119493 -0.57945157811 -1.649325237
#> 1202 -2.747054300 1.502757381 0.2696321333 0.23900023891 0.397757438
#> 1203 3.213426472 -1.031398503 -0.8828050896 -0.50003901121 0.823889195
#> 1204 -2.123710399 0.511646656 -0.1022357044 -0.61992817234 -1.155322469
#> 1205 -2.851892821 -1.685873828 -0.0157747873 1.87612464507 1.361592506
#> 1206 -3.153024584 -1.233406918 0.1407427082 -0.40197466987 0.295076892
#> 1207 2.879122108 -1.312683302 -0.4903838723 -0.24024071445 1.018448142
#> 1208 -2.752942693 -0.384967155 1.0127178780 1.55892908480 -0.846209967
#> 1209 -2.437483640 0.935534099 -0.2094972793 -0.58447486629 -0.586820362
#> 1210 1.714313413 1.589615444 -0.6617191228 -1.49958192539 -0.037014981
#> 1211 1.263956726 1.718735475 1.2799893480 -1.36063217317 0.598760536
#> 1212 -2.375361203 -2.115312852 1.9705952690 2.31710948967 -1.360702576
#> 1213 -0.615048276 1.547940401 -0.5018802396 -0.27641974554 0.580929128
#> 1214 -2.708870614 1.083224130 -0.0438868148 -0.70875749092 -0.129871944
#> 1215 -2.333728570 1.327520524 0.2450241048 0.67334643312 -0.055056392
#> 1216 -2.709563821 -1.667676949 -0.1888189454 -0.86611153728 0.934188998
#> 1217 -1.870364247 0.228696903 -0.2221092534 -0.28825234370 -1.206630946
#> 1218 -3.007657459 -1.099101403 0.1389866609 -0.04295938428 1.025314915
#> 1219 -2.754985367 -1.332230841 -0.0093921327 -0.67071165042 0.190713011
#> 1220 1.151165716 0.402785970 -0.9152396504 0.83082378059 1.315890783
#> 1221 -1.380721870 0.529414553 -0.7524787563 -2.14603404452 -0.698035384
#> 1222 5.148557372 -0.014010128 5.0164736990 -4.09476422041 3.457387419
#> 1223 -3.107069839 -1.658106096 0.1589660243 -0.13451354123 0.910779638
#> 1224 -2.116270529 1.221126316 -0.1116777097 -0.41924959766 -1.114385355
#> 1225 -3.149673736 -2.287227226 0.0782072532 0.68081496320 0.701781848
#> 1226 -2.637429584 0.089204344 -0.2116053409 -0.96166667319 0.206352377
#> 1227 3.207964876 -0.154847657 -1.2160027724 0.95826364806 -2.047960561
#> 1228 0.985530856 -0.782175568 -1.4158276159 -1.71112386866 -1.370123869
#> 1229 -1.762596230 0.101050701 -0.0176563646 0.79661656246 1.686214971
#> 1230 -4.809867926 2.609100123 1.4995970542 3.62954918851 1.852922917
#> 1231 -2.997963363 -1.572314452 0.0558622553 2.07690749068 2.219362110
#> 1232 -2.772826251 -0.310614785 -0.3121240471 -1.44559041953 -0.037746803
#> 1233 -3.329369409 -1.220314399 0.1590123812 -0.52119535265 0.468278963
#> 1234 1.473605250 2.612736556 1.2818973968 -1.27054276070 1.737019525
#> 1235 3.666041518 -1.812551299 3.1007667203 -1.08571610901 -0.275262931
#> 1236 2.154405398 3.845449891 0.5458010944 -1.86069796667 0.605321628
#> 1237 4.268764519 1.396657250 0.7816306915 2.39663135414 -0.597476805
#> 1238 1.942392791 0.361189511 -1.7433890260 -0.13764455490 0.841276388
#> 1239 1.625326027 1.704801250 -0.3804162090 0.61682377469 -0.806222456
#> 1240 -0.963625213 1.319891465 1.1648317899 0.99814534520 0.069671634
#> 1241 0.530347967 0.960492855 0.4530260698 1.62452655753 -0.081308440
#> 1242 2.114060354 -0.013035765 -2.2776090046 -0.20631763500 0.291746832
#> 1243 -2.876429801 -0.771294332 0.8469636971 0.83023129460 -1.452259110
#> 1244 7.656938084 -2.493109990 -0.2148625225 -0.58011072539 1.602552113
#> 1245 -2.613830392 -0.592884884 0.7748791854 1.11597873917 -2.049918879
#> 1246 4.009882677 -1.450295822 1.8503634096 -0.56966927304 -0.182559992
#> 1247 4.804973459 -1.178075060 0.8873778987 1.01135151678 0.519755926
#> 1248 -3.014283272 0.822747556 0.1225309787 -0.34080432602 -0.200171926
#> 1249 -2.212809843 0.360651297 1.3863901928 0.45116269680 -2.792695604
#> 1250 6.925427789 -3.905109146 2.0432686862 1.38893960603 -1.407627924
#> 1251 0.153751453 3.455636832 1.3893505046 3.18983597751 0.447851594
#> 1252 -2.737775977 -0.514227617 -0.1413575073 -0.18491715526 1.050381094
#> 1253 -1.563932693 1.098996177 -0.1985728442 -1.30475756942 -1.510597240
#> 1254 2.656936948 -0.703316697 -1.1406058310 -0.47128347257 0.275999458
#> 1255 1.356504431 1.342064944 1.1253328863 -1.78292925056 0.026396106
#> 1256 1.741953453 1.141157706 -1.2768010232 -0.31287705356 -0.931516270
#> 1257 -1.567709423 -0.628876833 2.2454349791 3.38680557934 -2.075781817
#> 1258 -0.791047064 3.244552005 0.2412093922 1.54054525004 1.250663535
#> 1259 -2.749153180 -0.550918737 -0.0198116030 0.00932684034 0.321186487
#> 1260 1.477437647 2.595604666 1.5650461265 -1.12479522558 1.729902014
#> 1261 -2.757365597 -1.770894885 0.9387388224 1.08635962256 -1.461449738
#> 1262 -2.668717548 1.437673599 -0.4822870415 -0.43452761818 -0.401400598
#> 1263 3.631318647 -0.867146120 0.0860371058 0.10902917235 0.560415409
#> 1264 -0.988261049 1.518123156 -0.2537111362 0.01192920686 0.271456525
#> 1265 6.610561817 -2.403888662 0.3109424874 1.70877745451 -0.204751693
#> 1266 3.893064451 0.127891618 4.6381099588 0.13845649185 3.603785254
#> 1267 -3.064898150 0.626364599 0.0973796912 -0.68825940192 -0.290029534
#> 1268 -0.106312848 0.562795248 -0.6365539945 0.23114325925 -0.384681113
#> 1269 -0.142090288 -0.530943693 -1.5733526196 0.74245368172 1.739728769
#> 1270 -2.837804704 -1.211252528 0.1641633563 -0.39674079658 -0.727573816
#> 1271 0.007212169 1.834467343 2.6586352764 -0.76961778166 0.822890939
#> 1272 -2.344053010 -0.574926345 -0.6760274423 -0.55391601117 1.374854508
#> 1273 7.765873533 -2.491514469 2.3738919851 2.10505846132 -0.485435919
#> 1274 1.742084795 0.024374825 -1.5203596016 0.80899674418 1.091137311
#> 1275 -2.743186815 -0.713189514 -0.0218960508 -0.96051877318 -1.046071664
#> 1276 -3.242933481 -1.039494227 0.2937070141 -0.16928082542 -0.077061459
#> 1277 -2.459897913 -1.528125505 -0.2363457217 0.16947831477 0.986958046
#> 1278 -2.973501517 -0.399150022 -0.0203377466 -0.72339219708 -0.182159763
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#> 1280 -0.809476421 0.707574589 -0.8507387189 -1.55003733589 -1.334941113
#> 1281 -3.064826221 -1.088635454 0.1052710274 -0.41957035324 1.164040209
#> 1282 1.183460379 2.889536293 0.9613346705 -0.81231263620 1.483126055
#> 1283 5.798337721 -2.067362905 0.0347313893 0.00355301466 -1.566647985
#> 1284 -3.010523294 0.118560679 0.2045892639 0.77935380282 -0.777880236
#> 1285 -0.648201047 -1.457132788 -0.5685302982 -2.35119948561 -1.101625503
#> 1286 7.266438900 -1.244139324 3.8900736025 -1.62437331199 0.228931046
#> 1287 -2.655734467 -1.868188985 -0.4334094477 -0.10918063858 2.147428297
#> 1288 -1.911223237 1.522192122 0.3162465219 1.08945036629 -0.036616958
#> 1289 3.625806882 -0.660623303 -0.3921100308 -1.22689291149 2.196680841
#> 1290 0.552318835 2.851134755 -0.1030101931 0.49064312419 0.786182327
#> 1291 -1.480076646 1.992990635 0.0845871924 1.12315771587 1.407469194
#> 1292 3.941688059 0.180390993 2.2161739728 -2.97733314826 1.151160422
#> 1293 3.836998568 -0.667343496 8.1410174013 0.28740237447 0.742139306
#> 1294 2.119611459 3.356328563 -0.5850406200 1.94832653423 1.270122487
#> 1295 0.906261447 1.229121648 -0.9631056396 -1.07234711684 -0.289569625
#> 1296 3.314535856 -0.081631418 -1.3821948723 -0.40156116305 -0.471308039
#> 1297 -1.243642464 1.473277083 -0.2948394880 -0.50284319589 0.346974961
#> 1298 2.980394966 0.419628965 -2.5816764698 0.81726746813 0.752506147
#> 1299 -0.994054388 -1.728556046 -1.0483540428 0.48867574361 2.628138259
#> 1300 -3.087545514 0.842914233 0.3579801079 0.17686124092 -0.773502555
#> 1301 0.009358907 1.185555096 -1.2334550743 -0.37184907180 0.520630958
#> 1302 -2.904776115 -0.739182675 -0.3088507837 -0.34691575377 1.371456083
#> 1303 -2.571735617 0.344470711 -0.0622426219 -0.34438069390 0.289726799
#> 1304 -2.477583012 -1.755598370 -0.2522588167 -0.77739400574 0.540374200
#> 1305 4.458368194 0.052147298 -1.4233586967 0.02421029655 -0.450641465
#> 1306 -0.648162093 1.608863902 -0.4777547271 -0.08178815795 -0.351247211
#> 1307 4.285706000 0.132686567 -0.6540763033 -0.63278945994 0.184530552
#> 1308 -1.428434199 -0.432591890 2.3398983833 5.24624266811 -1.816950880
#> 1309 -3.112558585 -1.429899578 0.0823336892 0.89691090539 1.245087183
#> 1310 2.614974808 3.458479266 -0.0607369920 1.29075126118 0.517775246
#> 1311 -2.384043331 -1.097722437 -0.2425070338 -0.66769021151 0.863880016
#> 1312 -1.944781071 -1.019146242 -0.1687202301 -0.64896911307 0.293756741
#> 1313 -2.591640509 -0.848243503 0.7808904271 2.63689110491 -0.147959207
#> 1314 3.007020043 -0.519062653 0.6223697125 2.28491673502 -2.918288307
#> 1315 -2.480566131 -1.089668475 -0.1643525323 -0.02287517546 1.061496239
#> 1316 -1.079835483 0.986436363 0.9506256494 1.99213763832 -0.506515481
#> 1317 4.278922403 1.259059558 1.3593921324 -0.20049110536 0.913683044
#> 1318 5.293264716 -0.260726815 -2.5710510056 -0.40600305190 -0.842424085
#> 1319 3.111159515 -1.487441932 4.8698757793 -0.17700795666 1.285576460
#> 1320 -0.464007524 0.315456880 -0.9177755243 -0.24660085104 0.109902990
#> 1321 3.162453279 -2.205612546 -2.0704118782 -0.27544123930 -0.032660571
#> 1322 -1.943691323 -1.192963306 -0.0252909718 -0.36611248416 -0.170053370
#> 1323 -2.234029134 0.391134688 -0.2045770075 -1.26829700020 -2.143764384
#> 1324 -1.557070542 -0.560648327 1.5389729118 2.18436994540 -0.503018338
#> 1325 -0.715564246 1.597010210 1.1051461786 -2.41208202233 1.054510129
#> 1326 -0.597912145 1.000070606 -0.2516988896 0.37605591511 -0.273487519
#> 1327 0.678622513 4.364459385 3.4284183994 0.92028450844 0.453634239
#> 1328 -2.384872404 -1.687701146 -0.1000527062 -0.26215733140 0.116327482
#> 1329 -3.408087727 -2.101403404 0.1255493518 0.67433014482 1.292432381
#> 1330 -2.248335889 -1.169878142 0.0375713835 0.40368285844 -0.832006193
#> 1331 -2.578026864 -0.347456542 -0.5099556284 -0.72818361568 0.213842679
#> 1332 0.074996208 -0.909220443 -0.9432111799 0.10518762424 0.522198141
#> 1333 1.014894732 2.374209387 1.5328750670 -0.61482554866 1.103371015
#> 1334 3.354843685 -0.859414595 -0.2860893147 -0.53679002143 -1.472257061
#> 1335 3.171140755 -0.031063729 -1.2315823718 -1.68357669461 0.021203629
#> 1336 3.145570716 -2.018860507 -0.0407989113 1.86048309062 -1.232519532
#> 1337 -3.303024310 -1.836960316 0.3123612216 0.06458559293 0.338271939
#> 1338 -0.695242359 0.413415270 -0.6844776272 -1.24502695816 -0.944055326
#> 1339 3.926109884 -1.587683129 1.7747263824 0.64211889992 -0.364969215
#> 1340 2.600699602 0.831421079 -1.9950403833 0.72100444077 -0.698996491
#> 1341 -2.383822335 -1.220993435 0.7566896636 1.62664616324 -0.107198766
#> 1342 1.268392883 0.213040530 -1.3175459967 -0.92413753870 -1.000965885
#> 1343 4.767306376 -1.481877230 -2.1391461361 -0.40156419699 -0.566151298
#> 1344 -2.474486779 0.324850476 0.0755390929 -0.02740117292 -0.796396737
#> 1345 -0.452871662 2.334041880 -0.1729826318 1.21555781032 0.999101786
#> 1346 -3.143512486 -2.439652709 0.9453776302 2.76683068379 0.831361092
#> 1347 -1.184886521 2.166606588 0.1337288858 1.83965939985 0.270118479
#> 1348 2.063714308 0.099486106 -1.2729717359 0.28818813844 1.141831250
#> 1349 -0.298093408 1.142752244 1.7092969134 -0.27376323040 1.555369710
#> 1350 2.978647227 0.215312425 -0.5857329291 0.41819556272 -1.376251038
#> 1351 -0.735170097 0.983570605 -0.1717165320 0.10432175133 -0.437085689
#> 1352 -2.904960507 -1.074758480 -0.0718171462 -0.79006184098 0.898226980
#> 1353 -1.958861908 -0.334241913 0.1175665129 0.42449982311 -0.599636448
#> 1354 -0.515228339 0.486878196 -0.6937640168 -1.52329478172 -1.689160938
#> 1355 -1.115353287 0.518501187 -0.5094533361 -0.85383442183 -0.215998296
#> 1356 -2.459181085 0.035731368 -0.5677175156 -0.67875334177 1.425416581
#> 1357 -3.473794081 0.150812014 0.1970347214 -0.34596895933 -0.023655637
#> 1358 -0.194112820 2.762114153 1.3497661393 -1.42918721073 0.871619688
#> 1359 1.123125064 2.685164496 -0.3711572278 0.42988166650 1.042254041
#> 1360 -1.040365572 1.895315391 0.2180965441 0.57817782697 -1.304086954
#> 1361 -1.308018760 2.490348869 0.0590584482 0.42240551954 -0.535327430
#> 1362 -2.419897349 -2.079071294 2.1241259925 2.67056318347 -1.702634951
#> 1363 -0.816415307 1.836402929 1.5435545116 -1.32013077153 0.750403187
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#> 1394 5.164450038 -1.589131007 0.2682584270 -0.19816376929 -1.877430537
#> 1395 -2.225465490 -0.761064665 0.1947794633 1.36459607513 0.870332033
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#> 1413 4.624879875 -1.902170762 0.9104086123 -1.24997364197 1.788152001
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#> 1424 5.264820769 -0.370082997 1.1912798838 0.67300263731 -1.745642207
#> 1425 7.367496532 -0.161823371 0.0930248242 -0.82137203870 1.550148311
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#> 1427 3.012340227 -1.671322871 -2.1144382032 -0.49362154419 2.066632912
#> 1428 0.674730905 2.546246392 0.7445941784 1.62226505923 -0.254444474
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#> 1454 3.646927990 1.336024684 2.5573584908 -0.71906435974 0.827173803
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#> 1461 3.491557113 1.795639248 -2.0659021130 3.52800695935 0.754193358
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#> 1466 1.641414176 1.205911375 -1.0919124003 -0.31008670953 0.312554713
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#> 1471 0.791289502 2.245072798 0.6087106764 2.58976520975 0.119504779
#> 1472 -1.967513825 1.900217657 0.3727068039 0.41412687266 -1.316556866
#> 1473 8.343052020 -2.965015164 2.6563657569 2.27988622074 0.101447635
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#> 1485 1.926859111 0.215526193 2.3113456963 2.37793313031 -2.710633193
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#> 1487 0.138146512 2.434939226 -0.6457237962 1.71117615683 1.497899383
#> 1488 2.785050913 0.623901029 -1.3281543348 4.37328496104 2.297839385
#> 1489 3.921645692 -1.548630637 -2.6701058953 -0.27588485201 -0.181104266
#> 1490 1.167159267 2.486750449 -0.4862085839 0.13083037988 -0.159671795
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#> 1493 3.842775975 1.820880292 -1.5573902709 0.97690443860 1.474488505
#> 1494 4.797188466 -1.624255417 -2.0147246059 1.10847698262 0.258590104
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#> 1519 0.787584426 2.266704786 1.7675252041 -1.76397911429 1.436967233
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#> 1521 -2.713025823 -1.231203809 0.2872953071 0.40285542443 0.405316953
#> 1522 1.519312706 2.176740991 -0.8653297584 0.48597771705 0.605186943
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#> 1535 2.507774341 2.182962276 -0.9634632518 0.68727492547 1.276961360
#> 1536 -2.955386770 0.254384475 -0.1671979815 -0.95444821243 0.401813037
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#> 1546 -0.510099459 1.367699898 -0.2279343992 -0.49549155072 -1.966258316
#> 1547 2.041864065 2.316565974 0.9530143342 -1.66780403494 0.896344067
#> 1548 2.015333177 1.282289106 -1.3693087211 -1.00658666333 -0.963240706
#> 1549 -0.487972550 2.947368826 1.4813154676 1.52350608276 -0.262235423
#> 1550 0.307030652 4.461838311 -0.0335941541 1.13620818691 0.248498785
#> 1551 4.808803947 -0.456956021 3.0019152569 -0.69908229471 -1.777578751
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#> 1553 6.896054956 -2.838484964 0.7213395753 0.75541750377 -0.506986881
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#> 1555 -1.041660745 0.590393429 1.2956765072 2.17164973912 0.743966452
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#> 1557 -2.273315902 -1.804267581 1.4334548638 1.12268297754 -0.639792890
#> 1558 4.125614774 0.333894206 2.1304161752 -3.98643647878 0.915946276
#> 1559 -1.995075383 -1.437681887 -0.2204102747 -0.42350775270 0.955788154
#> 1560 0.012026499 0.712235800 -0.6093066054 -0.15054488192 -0.043455510
#> 1561 -3.373752558 -0.010793414 0.1061864025 -0.85341175606 -0.676972914
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#> 1563 1.983742495 -0.459722781 -1.4148617525 -1.56428297095 -1.346319731
#> 1564 -1.793056689 0.340230419 -0.6486241665 -1.52788981298 -0.202874941
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#> 1567 -1.769881655 0.993996541 0.8677240080 0.50190466436 -0.950538951
#> 1568 0.232855957 -0.967175353 -1.3318239095 -1.03624230869 -0.503290626
#> 1569 -2.225094131 0.298267853 0.3366488046 1.12716844534 0.780385096
#> 1570 4.753901682 -1.462866136 -0.2826568452 0.20997114798 0.954509642
#> 1571 -2.105729667 0.842879007 -0.0354033434 -0.57913917472 -0.630740182
#> 1572 2.416595279 -1.064518323 -2.2581797292 -0.98049562172 0.068925815
#> 1573 -3.307485325 -2.455634884 0.8516441253 2.46557230399 1.144780738
#> 1574 -1.243642464 1.473277083 -0.2948394880 -0.50284319589 0.346974961
#> 1575 -1.637006069 0.068592802 -0.4684023168 -1.51867967468 -1.440756867
#> 1576 -0.737451137 1.622158018 1.4797191348 1.86371121302 -1.466492331
#> 1577 -3.004980181 1.386366745 -0.1454430673 -0.25229800152 0.804077188
#> 1578 -1.730651083 -0.517522175 1.0880986356 2.76274522698 -0.207924884
#> 1579 2.884971352 -0.992792739 -1.3042322369 0.43149086012 0.272946217
#> 1580 -2.293815062 -1.602500901 -0.3491888506 -1.16817887897 -0.256180994
#> 1581 -0.209641841 2.031502340 -0.1670217479 0.29118582498 0.368032586
#> 1582 7.391280562 -1.281234425 -1.3563031714 -0.00129559731 0.158079212
#> 1583 2.486757584 0.990053662 1.0783103592 -2.28040245591 0.085609181
#> 1584 -2.543939057 0.253387038 -0.3363214377 -1.36902139105 -0.502148908
#> 1585 -2.962316317 0.492175066 -0.1398408824 -0.86256410850 0.149626721
#> 1586 -2.776350359 0.327625015 -0.0115484730 -1.04423097800 -0.044726691
#> 1587 2.282556940 1.055586691 -1.1904010865 -0.23621403384 0.704771838
#> 1588 -0.192989020 -0.585722197 0.8676614991 4.49068882501 1.121387050
#> 1589 -0.798468949 1.922365569 -0.1149799626 -0.04545160261 0.590296326
#> 1590 0.277825908 0.719122207 -0.6855214419 -1.51681020175 -1.022239190
#> 1591 3.333522811 -1.529197968 -1.5503964926 -0.22701511855 0.675661644
#> 1592 -2.885928308 -1.634883625 -0.1494489912 0.38188025531 1.549218089
#> 1593 3.770427855 -1.864192636 0.8655176183 3.31787109049 -1.903816944
#> 1594 -1.972409513 -0.012926157 0.0520164031 0.59949910941 0.781679114
#> 1595 -2.859639389 -0.440867068 1.4069348589 0.66577707943 -0.880094824
#> 1596 2.091364786 -0.968259524 -1.7949455113 1.41853784875 1.143912055
#> 1597 -3.147349602 -1.604390107 0.1982099872 -0.29785605133 0.324126645
#> 1598 -0.967694005 -1.282267048 -0.1924783503 0.07220704613 -0.610142720
#> 1599 -0.695242359 0.413415270 -0.6844776272 -1.24502695816 -0.944055326
#> 1600 1.544161394 4.021161841 -0.2148975283 1.42347013824 1.379237267
#> 1601 -1.562122305 1.087636388 1.3148806505 -2.29002839571 0.566318032
#> 1602 -2.829483290 -0.604036549 0.1471415624 0.42643188835 0.178984380
#> 1603 3.338377344 -2.370058765 -2.4460762527 0.66221789769 2.281085400
#> 1604 -0.949494152 3.446436368 0.2124659359 2.18963121765 0.580473049
#> 1605 -1.434620824 0.893556602 -0.5646344370 -0.46872556283 -0.037944817
#> 1606 -1.421713750 1.493829082 -0.0239685800 -0.81358992481 -1.178100388
#> 1607 1.347699937 1.368763895 -0.9561974855 1.57089930498 0.331406228
#> 1608 1.066780587 -0.569457887 -1.2978843231 0.87118221343 -0.967913648
#> 1609 -2.627744157 -1.108076330 1.5392628073 1.43463524328 -0.478618526
#> 1610 -2.681243248 -1.646731759 -0.2305956167 0.23111784695 1.727605954
#> 1611 3.005362043 1.760176658 -1.6583397819 -0.40794000094 -0.536348444
#> 1612 -1.728526644 -0.155356783 -0.1709000285 -0.32461239454 0.569591655
#> 1613 -2.142422070 0.585131163 -0.1949731264 -1.14132504429 -0.577548823
#> 1614 -3.306791356 -1.397358237 0.2578031046 -0.28158766418 0.321759949
#> 1615 -0.368868925 2.288397381 -0.6985987302 -1.20116799094 -1.105590127
#> 1616 0.046496005 3.549830894 0.3175139840 0.79257044058 -0.022512921
#> 1617 0.096853788 1.988475360 -0.1485971528 0.24198039422 -1.258460759
#> 1618 2.809392714 -0.222391315 -1.9719072695 -1.02698555522 -1.207487959
#> 1619 -2.587857093 0.116605033 -0.0597458911 -0.68401114465 -0.603707401
#> 1620 -2.934094252 -1.371237837 0.2036968885 -0.24578522572 -0.232662972
#> 1621 -2.738915757 -0.225384889 -0.2458323806 -1.13047975631 -0.219480887
#> 1622 3.463059428 2.240403448 6.6827935166 0.73757845061 -0.569432157
#> 1623 -0.468347867 2.428515815 -0.1462271671 2.31555494087 1.850054173
#> 1624 -2.959202556 -2.079248743 -0.4978816845 -0.37268217063 2.135542343
#> 1625 1.637195056 -1.574805477 -1.4744707069 1.17623726373 1.889756311
#> 1626 -2.126663092 -1.108208164 -0.1751258508 -1.20257692198 -2.148828489
#> 1627 -0.702996303 1.075429925 -0.2690129412 -0.58778767353 0.203289378
#> 1628 1.757616760 0.014515754 0.6038894676 -1.48215647595 0.931743181
#> 1629 2.747280004 -0.805769380 0.0470520891 1.89993673613 -1.692044474
#> 1630 -1.777789053 0.888718900 -0.3491837938 -0.92740287178 -1.517476919
#> 1631 -2.452206350 -1.197627172 -0.4208259405 -0.47565642701 0.990425638
#> 1632 3.620139884 -0.392481129 0.1610441339 0.43726647927 -1.194152280
#> 1633 -2.474077176 0.437735994 1.6130511173 1.37067465199 -2.065076070
#> 1634 5.580913169 -2.572820944 -1.1608758968 -1.81209230687 -2.088394761
#> 1635 -2.475813644 0.799971577 -0.2667646290 -1.29983158411 -1.703113751
#> 1636 -2.722607192 -1.294210015 0.0696122168 -0.33636956545 0.019838432
#> 1637 -1.222255481 1.604679553 -0.0771039560 -0.22575548753 -0.990226761
#> 1638 1.675413934 1.323510151 -1.3618648963 -1.26848657771 -0.303513208
#> 1639 0.486059191 1.405262421 -0.8415701465 1.99257819811 1.704093918
#> 1640 4.982806747 -2.714256933 2.8139153997 -0.27055695689 -0.607787476
#> 1641 -0.759144883 2.804318444 -0.2263663633 1.29964979559 0.161837863
#> 1642 -2.501756231 0.056689461 0.0734985946 0.91858244333 1.561869283
#> 1643 1.532523877 1.119863840 -0.8592310122 -0.24649504723 -0.009568136
#> 1644 -2.430835924 0.496842452 -0.0089044273 -0.10388789127 -0.880532913
#> 1645 -2.055370455 -1.821795301 -0.2035901400 -0.66500391222 -0.567668568
#> 1646 -2.704616303 -2.079531937 -0.2018739407 0.37561000333 1.548380752
#> 1647 0.946373168 2.216480452 -0.8993394163 -1.25784060391 -0.110150024
#> 1648 -2.208185594 0.396792588 -0.6364955070 -1.41299155607 -0.330189108
#> 1649 2.291652086 0.697809109 -0.3234091161 0.66971504313 1.251330673
#> 1650 4.268764519 1.396657250 0.7816306915 2.39663135414 -0.597476805
#> 1651 -0.239572271 -1.038798561 4.0904914169 -0.36816856648 0.240587129
#> 1652 4.420567923 -0.854346354 -2.2964940971 -0.72212845630 -0.204004392
#> 1653 4.884990476 -1.324345952 1.9150968719 0.74047758314 0.256994546
#> 1654 2.957835217 -1.139927611 -0.2588248027 -0.15322764327 1.066630035
#> 1655 4.367857516 1.873390036 -1.7061113715 1.31548441428 1.139172656
#> 1656 -2.157480474 -2.483973274 -0.5753698962 0.03657554431 1.282528188
#> 1657 -2.029843603 -0.174129519 -0.0280241217 0.81502247152 0.952682891
#> 1658 -3.296689613 -2.094744123 0.1015383963 0.76487516038 0.776895516
#> 1659 -1.320915677 -0.125861241 0.2754027527 0.28868933270 0.168674748
#> 1660 -2.766001436 -1.350804242 0.1404491459 -0.21756542725 0.221203791
#> 1661 4.765250437 -1.713673494 -0.4586233459 0.14551456048 0.706781862
#> 1662 -2.267544157 0.704619570 -0.3322423033 -0.30832169457 0.659858458
#> 1663 -2.810372063 1.016416410 -0.1398694848 -0.61034686383 -0.448048363
#> 1664 -2.861430657 -1.927243003 -0.2337090056 -1.00400608546 0.247861452
#> 1665 -0.915390562 1.382457539 -0.6385915453 -1.35884019615 -0.258376094
#> 1666 -2.670045844 -0.132900096 -0.3850546298 -1.46424468705 0.313013375
#> 1667 3.738063708 -1.767104647 0.2324209929 0.90935992262 -1.814197742
#> 1668 1.432916840 2.909340323 6.2413577359 -1.06790253060 1.923804547
#> 1669 2.054824742 1.652960422 -0.9387920872 1.36817304665 -0.377413774
#> 1670 3.321418488 -1.542811705 -1.8284935681 -0.16245330652 0.205600519
#> 1671 0.162564056 2.454526940 -0.1795925308 0.15350970639 -0.921332669
#> 1672 2.413789848 -0.818545724 -0.9476195486 0.80916949129 0.534728065
#> 1673 -3.385675510 -1.609681700 0.2980283179 -0.06643087425 0.569750278
#> 1674 -3.190648753 -2.167548262 -0.1509612796 0.28986358842 1.412457303
#> 1675 -2.627591665 -1.435993677 -0.0856136999 -0.26460646561 0.986600662
#> 1676 1.821857744 0.801222695 -2.0019106872 -1.14037580656 -0.915986546
#> 1677 -3.079539361 -0.688475777 -0.3845311845 -0.56313976274 1.711639983
#> 1678 1.511491243 -1.806619903 0.5340362979 -2.18400344705 0.497372619
#> 1679 -2.821846770 0.165240449 0.1999176474 -0.65811297697 -1.900567224
#> 1680 4.715249460 2.094282312 -2.4139247331 0.68746724780 -0.383230348
#> 1681 2.445200975 1.960011245 -1.4117997005 1.57169671564 1.504564541
#> 1682 -2.708870614 1.083224130 -0.0438868148 -0.70875749092 -0.129871944
#> 1683 -2.859836338 -1.141224036 0.1915666353 0.70649437466 0.387291126
#> 1684 -0.055275810 2.568606327 -0.2171527226 -0.03772051070 1.198434502
#> 1685 -2.624769192 -1.248141540 1.1749041079 2.36479500685 0.774535688
#> 1686 -2.383941240 -0.837566584 0.2750422009 0.45138902254 0.339276717
#> 1687 2.676345748 2.158594538 1.1238919759 -0.77432812238 0.166057512
#> 1688 -1.113531984 0.964045587 -0.3855707080 -0.60480228659 -0.145454313
#> 1689 1.281540163 -0.714922655 -1.3896867090 0.31775835940 1.540308750
#> 1690 -0.810307621 0.190510782 -0.8169581932 -1.70022435794 0.187241035
#> 1691 6.802471454 -2.717156141 6.7842827079 -0.05323768660 0.281851645
#> 1692 4.775748980 -0.370376301 3.8198734903 1.08844157461 -1.831016621
#> 1693 -2.127616020 -0.195957257 -0.5636677115 -1.53618656347 0.393984073
#> 1694 5.058873156 -1.463302790 -0.8187913596 -1.32163517407 0.856207564
#> 1695 -2.884832218 -2.139718663 -0.0887183861 1.15319197507 1.443406347
#> 1696 -0.829764074 0.441257483 -0.3685508796 2.36022675018 2.047963024
#> 1697 1.401070618 1.150897767 -0.8980035089 -0.49395101942 -0.639136015
#> 1698 -3.097576758 -0.058315718 0.0306705707 -0.24926615239 0.272145231
#> 1699 -2.084790516 1.141993355 -0.1087904591 0.33105069414 0.934929118
#> 1700 1.749211129 0.911697703 1.2878225782 3.46338346488 -1.577325907
#> 1701 -3.505122181 -1.442336827 -0.0499096369 -0.11896154228 0.443441305
#> 1702 6.120537998 -1.274521285 4.4656587906 -1.71155040335 1.533214851
#> 1703 6.924247282 -2.834152185 3.5864919763 -0.14708462941 0.440525809
#> 1704 4.869808677 -0.820141216 0.0881379540 -1.06363956436 -0.728180455
#> 1705 -1.578095114 -0.156450472 1.6394977349 2.25916587705 -0.589344642
#> 1706 -2.496791263 -1.434847330 1.4005971239 1.34767948162 -1.418414193
#> 1707 -1.817063376 1.596939496 1.4355577407 1.00197479764 -1.191102978
#> 1708 -2.539998081 -0.610143965 -0.5019506994 -0.46859819255 0.136746694
#> 1709 1.519312706 2.176740991 -0.8653297584 0.48597771705 0.605186943
#> 1710 4.392893316 1.598285115 -2.3803620959 0.60707036029 0.399775605
#> 1711 -2.580569714 0.390883179 -0.0486057681 -0.79675374869 -0.442671286
#> 1712 -2.510953761 -0.665749914 -0.2659960759 -1.02802373257 -0.009443301
#> 1713 -2.655449776 -0.051906649 0.6492137919 0.47564513585 -1.899217319
#> 1714 5.160381000 -1.726214083 -1.1239202209 -0.76964617375 0.179818767
#> 1715 1.379853146 0.011308862 -1.8097389355 0.01650162383 0.060657279
#> 1716 2.675403853 2.026155263 -0.4189272661 0.00989650428 -0.931551872
#> 1717 0.048717402 1.146667112 -0.3441659298 0.17836022927 -0.628251204
#> 1718 3.248248882 -0.742281984 0.0393350092 -2.18510358463 0.271343522
#> 1719 -0.200449329 1.273757656 0.8788204146 -0.50899075650 0.166083489
#> 1720 -2.840520384 -1.088605417 0.2291367147 -0.41029525750 -0.205999564
#> 1721 -1.155186204 1.469578773 1.1013595846 -2.25898048985 1.136211532
#> 1722 -1.288253061 0.317894717 0.2481790710 1.50636079291 1.264598360
#> 1723 -1.320618863 -0.319971382 1.1135493273 0.21589477626 -2.846003961
#> 1724 3.792951424 0.245839597 -0.2409895470 0.93220999882 -1.706592107
#> 1725 0.234936843 2.202590086 0.1765241100 0.09877158661 0.124215363
#> 1726 4.325959949 -0.764021393 -2.2816909050 -0.66604206082 -0.307897806
#> 1727 -2.574458527 -0.925210913 -0.4711620352 -0.87048661939 0.383774105
#> 1728 2.445579938 0.960047530 -1.0827422511 -0.73415655880 -0.857016111
#> 1729 2.143281877 1.355830414 -1.5247924695 0.68377193582 0.401298353
#> 1730 5.765286623 -0.439040199 3.1350869862 -2.86230498703 1.121841862
#> 1731 1.396687962 2.298335761 2.7056407801 -0.64473829045 0.179276002
#> 1732 -0.799398357 1.386251227 -0.4437949699 0.77542483279 0.211570351
#> 1733 -2.933224267 -2.180557422 0.0536830514 0.71677658232 0.379643249
#> 1734 -0.112087125 2.757570215 2.7905841416 -0.24485435837 -0.919702709
#> 1735 -2.939622295 0.287462144 0.1799954086 0.08667122555 -0.764667160
#> 1736 -2.795472310 -0.702858239 -0.4443263084 0.48508429944 0.713375010
#> 1737 -2.473299954 0.516777758 -0.2503749778 -0.59785483236 0.402975519
#> 1738 -2.124937592 -0.751318184 1.7169264805 1.51962124410 -1.525431416
#> 1739 -2.487932395 0.441555169 -0.3695584342 -1.39433906735 -0.662337486
#> 1740 1.521889599 -0.366844647 -1.5495560368 0.74855024668 1.288107068
#> 1741 1.470106322 0.386348970 -2.1124919381 0.68015644184 1.770651238
#> 1742 -3.194355980 -1.756222974 0.0172793336 0.83658539429 1.099017574
#> 1743 0.509977573 0.177082380 -1.2987785833 -0.76157508256 -0.064332936
#> 1744 2.277990759 1.124708672 -0.7572537499 0.07466532920 0.306520899
#> 1745 -2.843684322 -1.940121749 -0.3750840330 0.36496519430 2.459966302
#> 1746 2.081863174 2.176179750 -1.3421992704 0.09752745775 0.572890479
#> 1747 -2.732710263 -1.652241171 0.1328155622 -0.36719782069 -0.841223460
#> 1748 3.162453279 -2.205612546 -2.0704118782 -0.27544123930 -0.032660571
#> 1749 -2.311469329 -1.224693601 -0.6753631627 -0.75058556162 1.263364527
#> 1750 -1.489142215 0.200960382 0.6647975488 1.31191843344 -1.264821560
#> 1751 -2.618577045 -0.881275369 1.6621141834 1.61706856545 -1.236002744
#> 1752 -1.176297053 0.242900100 -0.5619630145 -1.54173914557 -0.344456911
#> 1753 1.793609748 -1.130137471 -1.0192252118 -0.82854240661 -0.212257780
#> 1754 3.270478791 -0.993324949 -2.1004370514 -1.45205585799 -0.836740532
#> 1755 -2.354872830 0.085439588 -0.2727649192 -1.38401891691 -0.649246267
#> 1756 -1.817063376 1.596939496 1.4355577407 1.00197479764 -1.191102978
#> 1757 -2.522129183 -0.579445916 0.1726595968 0.69526078999 0.903633971
#> 1758 -1.735664122 -0.172906025 0.0413233654 -0.13645341028 0.727746752
#> 1759 -2.546013362 -0.986729193 0.2505475673 -0.21477286315 -0.181718449
#> 1760 1.349890198 -2.195664302 -1.9815254381 0.02488144132 1.115561063
#> 1761 -2.944807521 -1.823612610 -0.2111752547 0.57257663840 1.265101255
#> 1762 -2.231678349 0.226678856 -0.1343341753 -0.27477512851 -0.238954747
#> 1763 2.750855566 0.426675740 -1.1511160903 -0.07402038721 1.345223684
#> 1764 1.233621179 2.491397210 -0.5509629469 -0.47688095161 0.786191529
#> 1765 -1.563971010 1.054822267 1.3402478437 1.74032647120 -0.585848043
#> 1766 -1.982656008 1.249942053 0.3065471152 0.73650010312 -0.700773790
#> 1767 -0.487028453 1.814460756 -0.0464162650 0.64379458290 -0.035159924
#> 1768 -2.425626473 -1.355000157 -0.0777723371 -0.32251989997 0.632088068
#> 1769 1.738171870 2.059544151 -1.5999707720 3.79631699407 4.260952337
#> 1770 2.580356837 0.422809471 -1.5101120489 -0.17670923342 0.207532051
#> 1771 -2.369515312 0.834108441 -0.2096227386 -0.65336990507 -1.118433804
#> 1772 -2.360635825 0.120862598 -0.0978480465 -0.87449154064 -1.607775723
#> 1773 4.436148124 -1.340203138 -0.6303983667 -1.21217060742 1.837113595
#> 1774 -2.405523549 -1.304082173 -0.1004211074 -0.48768105048 -0.061117709
#> 1775 -1.818165772 1.327617598 0.5648349324 1.42290034403 -0.948767182
#> 1776 -2.837035960 0.063203685 -0.1642722674 -1.05528809445 -0.458931961
#> 1777 0.252560198 0.575582227 -0.9769009033 -0.92738385667 -2.034679873
#> 1778 -2.544346148 -0.965550619 0.0013475620 -0.20309108442 0.106524273
#> 1779 1.167126004 1.662901045 0.5699763954 -1.43742795173 0.381394263
#> 1780 1.637195056 -1.574805477 -1.4744707069 1.17623726373 1.889756311
#> 1781 3.526769605 0.887517242 -2.0007598728 0.43883493833 1.131377876
#> 1782 4.596974379 0.984012135 0.4284254297 -0.72514878586 1.541112119
#> 1783 -1.710164503 1.088241957 -0.4282623385 -1.30745875161 -0.213874903
#> 1784 -1.163118929 2.242408332 1.3260464580 2.41308959713 -0.709475183
#> 1785 -2.660333995 0.386715278 0.5925721766 0.23697729807 -1.302770005
#> 1786 1.167159267 2.486750449 -0.4862085839 0.13083037988 -0.159671795
#> 1787 0.701743177 3.328643521 -1.0062311750 1.51212091395 -0.255437984
#> 1788 -2.775539012 0.667924071 -0.2911797048 -0.39722896439 -0.135429649
#> 1789 4.247149723 -1.630256847 -0.7436990288 -0.06831803076 -2.154576555
#> 1790 3.300669396 -1.374061590 -0.2912182294 0.99624449562 -1.081301505
#> 1791 -3.025078431 0.304814645 0.0734104977 -0.62923840111 -0.076095157
#> 1792 0.764611064 2.398078169 -0.1396833513 1.20513474666 0.293713275
#> 1793 2.007694758 -1.179552391 0.2777845561 -1.78038192643 0.232013575
#> 1794 3.767018364 -2.880770753 -0.7832111560 0.82233024247 1.788783883
#> 1795 3.680012875 0.825381305 -1.9728418657 0.76403944273 -1.427206421
#> 1796 -3.340026766 -1.367456702 0.1999323537 -0.29035181764 1.122776592
#> 1797 1.546889445 0.731057792 0.3258537077 0.09938756029 2.642205279
#> 1798 3.654071570 -0.139188847 -0.2768215226 1.26804818404 -1.190498613
#> 1799 -0.239405129 2.881886083 -0.7432105155 -1.06163319686 0.062456809
#> 1800 -3.101079523 0.033627243 0.1243640782 -0.78843081812 -0.957704307
#> 1801 1.759464891 0.489360369 0.0963535187 -0.86121822758 0.630746006
#> 1802 -2.731328641 0.141110961 0.2314442445 -0.19797426842 -1.035464680
#> 1803 -2.474486779 0.324850476 0.0755390929 -0.02740117292 -0.796396737
#> 1804 2.304746746 1.082046869 -1.7828212945 0.09607990200 0.267088184
#> 1805 3.027534832 -0.463913949 -1.9384414495 2.49803799402 3.250851603
#> 1806 -3.063700674 -1.086296402 0.1553394171 -0.49884648415 0.165317496
#> 1807 -0.577801402 1.131303144 -0.5211775616 -0.78531101795 -0.389827225
#> 1808 3.707688107 -2.086859038 -0.4959218911 1.46403132112 -0.827140815
#> 1809 4.090566276 -0.419757877 -1.6389613322 -1.27977974230 -0.103920783
#> 1810 -2.135158212 -0.847897291 1.2654336534 1.78623367581 -0.144484331
#> 1811 -2.782257714 -1.074801811 0.4369541944 0.90039793508 0.115646070
#> 1812 -1.639067173 1.350958233 -0.0407149356 -0.38456301853 -0.809428870
#> 1813 1.027967792 3.273696365 -0.5088362307 0.45637893873 1.141627790
#> 1814 -1.887086916 -0.298202216 0.0400812917 0.25848131073 0.513619406
#> 1815 -1.484485199 0.045963344 0.9618137070 0.77054110761 -1.143710460
#> 1816 -2.484610974 0.054093012 -0.0006245010 -0.23631457472 -0.223507509
#> 1817 3.823639398 -1.371380683 -2.2616514969 -0.45843039870 -0.399219075
#> 1818 -0.863249661 1.977365297 1.1639271979 -1.97320564838 0.651838111
#> 1819 0.250342128 1.259378707 -0.7248672467 0.82584617748 0.726566493
#> 1820 3.200128473 3.829010171 0.6268403957 3.25635299265 -0.314439926
#> 1821 -2.658852060 -0.449538765 0.2779717521 0.46662655044 1.227268037
#> 1822 4.773298657 -1.888054611 3.7065377863 -1.97659708240 -0.815531741
#> 1823 -2.799282551 -0.842283119 -0.0648144785 -0.53764614341 -0.080507227
#> 1824 2.070995029 -0.501155749 -1.5507313278 -1.08408962393 -0.015220689
#> 1825 -1.084833995 1.831960036 -0.0178824974 0.29886868513 0.307527091
#> 1826 3.008098066 -2.140504614 4.0591753899 1.41267013974 -1.921895934
#> 1827 -5.198608375 3.661358602 1.5118576323 3.46779512513 1.825222287
#> 1828 -2.351224554 -1.535630544 -0.0175004058 -0.14185909134 0.198563390
#> 1829 -0.482440594 1.825083055 -0.0596906266 -0.03252777127 -0.324704697
#> 1830 -3.126771677 -1.479894292 0.2077793898 0.25343362055 0.457400466
#> 1831 4.230372826 -2.857915354 1.9734229251 3.28590887267 -0.211992707
#> 1832 -3.281420655 -1.260204785 0.0608481756 -0.60528171860 0.818266481
#> 1833 3.026477994 -1.167967262 -1.4621768109 -0.70223155306 0.318469338
#> 1834 3.083723961 -1.422420546 -0.0261601850 0.41774836223 -1.886498084
#> 1835 2.823152090 -0.916115948 0.5404597121 1.11848135034 -1.118393094
#> 1836 2.887254923 2.710159901 2.9777120068 -1.07954577305 1.323507653
#> 1837 -2.549061498 0.467429012 -0.1104285534 -1.01915673284 -0.831519518
#> 1838 -2.352903693 -0.942854467 -0.2960967702 -0.84311130342 0.727764305
#> 1839 3.598828396 -1.015010111 -1.6461881929 -1.22268435645 0.353074312
#> 1840 -0.070242489 -0.358592443 -0.4883802140 1.29314493891 1.235524434
#> 1841 0.978081742 0.609172939 -0.6478820712 -0.93284906845 -0.825561687
#> 1842 -2.908203276 -2.007112429 -0.1304874761 0.14448153408 0.064753207
#> 1843 0.217331219 -0.052052339 -1.0449247014 -0.48825385118 -0.578695018
#> 1844 1.652932984 -1.299804881 -1.4647598710 -0.21551941913 0.501286640
#> 1845 3.926109884 -1.587683129 1.7747263824 0.64211889992 -0.364969215
#> 1846 0.172218685 3.517527941 3.1113785771 2.27890074133 0.527203638
#> 1847 -2.616328141 0.413359432 -0.2705658544 -0.76922064874 0.303508027
#> 1848 -2.848526578 -1.697968127 0.1105153785 -0.29040225810 -0.262535619
#> 1849 -2.056803316 0.873439792 0.6172231636 1.29027400115 0.946296955
#> 1850 7.859693912 -2.828710445 3.0580828967 0.52489870418 2.135185427
#> 1851 -2.776426246 -0.826309689 -0.0033072834 -0.41100892333 -0.350342920
#> 1852 3.642625475 0.615238827 -2.5163835847 0.42398879057 0.204310065
#> 1853 -2.649367154 0.106337344 -0.0904420269 -0.62611234728 -0.328482332
#> 1854 0.311555249 2.965416740 -0.1269297881 0.23730174970 -1.380912919
#> 1855 -1.680164322 0.188184814 -0.7726449775 -2.13351593737 -1.856408815
#> 1856 -2.659400391 -2.240376787 -0.0640737109 0.62979010737 0.377591298
#> 1857 1.892818853 0.353104360 -0.0278665535 3.41395173965 -0.992546924
#> 1858 5.739752232 -1.723270878 -1.7309359749 0.23343204521 0.240521710
#> 1859 2.048396516 1.977827420 -0.6626877293 -0.58134220952 -1.009426000
#> 1860 2.387054140 0.431718634 -0.4173397044 0.82006264067 1.221482927
#> 1861 3.730617364 -1.258314343 0.2844653529 1.09559235069 0.428096661
#> 1862 -2.577349242 -1.566045758 2.1615067531 2.02098199168 -2.030247332
#> 1863 -1.840479486 0.787218129 -0.0579742286 -0.61700729491 -0.848476216
#> 1864 2.392736901 1.345575799 0.3770492867 -1.64193689172 0.342188990
#> 1865 -2.075650249 -1.805321305 -0.3235929732 -0.90246932722 -0.750441476
#> 1866 -0.630738132 -0.599103791 -0.3240729128 0.73022075560 0.722465401
#> 1867 -2.434683563 0.034083417 -0.2426787342 -1.32956108556 -1.177288561
#> 1868 4.142319584 -1.975460894 0.3873958363 1.89871923098 -2.369338829
#> 1869 1.601616464 1.087345278 -1.1118582641 1.03339454997 0.902105704
#> 1870 -1.053707457 -0.994760290 0.4639762798 1.66752072045 0.313173064
#> 1871 5.021834936 -1.644198269 -1.9135944031 0.80149237173 1.328914180
#> 1872 6.823890234 -3.031299728 1.2076926191 1.10080669115 0.781373957
#> 1873 -2.889744983 -1.194212261 0.1043362927 0.04855001499 1.029052033
#> 1874 1.024904496 3.294725310 3.2924451910 0.30223960888 1.022521445
#> 1875 1.644416928 -1.753152040 -1.8877691131 -0.86920012037 -0.263946267
#> 1876 -1.069902785 1.105719178 -0.4681497901 -0.85172009221 -1.803631580
#> 1877 -2.722268572 -2.430528084 0.4445625870 1.71683909738 0.603897393
#> 1878 4.107908481 -0.842218912 0.2610780909 -1.84670078311 -0.621342663
#> 1879 2.729524129 1.610978340 -1.3807667417 0.57256753178 -1.411709305
#> 1880 0.257712153 1.316496284 -0.9064012615 -1.77674893781 -0.651323898
#> 1881 -2.679436370 0.407650873 0.1065758282 -0.51970775654 -0.659910825
#> 1882 -2.589348104 -1.522738323 0.1403111647 -0.13113543538 -0.857655974
#> 1883 0.073123219 -1.030649246 -0.8005228020 -1.36455273111 0.759734571
#> 1884 -2.730245505 -0.588728784 0.0339721321 -0.13645595094 -0.009401472
#> 1885 -0.720817413 1.300632672 1.2084759315 -2.15837660001 0.289829362
#> 1886 2.141102506 -0.868819690 -1.8058595384 -1.10877611906 -0.584954180
#> 1887 1.873631252 1.657928126 -0.7301444004 0.13093634255 0.698027030
#> 1888 -2.768207828 -1.308987600 0.0751258494 -0.27931828302 1.014771629
#> 1889 -2.231692653 -0.710287707 -0.2494760794 -1.28884778708 -0.736626084
#> 1890 -2.797720628 -1.736662815 0.7133502301 0.87215013015 -0.026319056
#> 1891 4.188578393 -1.823122067 -2.8567494363 -0.54282313391 0.619846034
#> 1892 3.412604086 1.426644456 0.6776054080 -0.23561068309 0.335175057
#> 1893 4.141595692 -0.722078219 -1.9833342832 -0.87052892014 0.822628729
#> 1894 4.115046997 1.149566020 3.2827934118 -0.01172886636 1.381311209
#> 1895 1.488585082 3.655752276 0.3121391143 1.93126538928 -0.077898445
#> 1896 0.692066207 2.715569252 5.9151957292 -0.35830067177 1.270673790
#> 1897 -2.384872404 -1.687701146 -0.1000527062 -0.26215733140 0.116327482
#> 1898 -2.648086146 -1.067281756 0.0405322623 -0.15699369436 0.253197337
#> 1899 -1.844695871 -1.303728678 -0.2744831129 0.01651581571 -0.778993852
#> 1900 -3.070520904 0.001185825 -0.0846054031 -1.08562305064 -0.024316771
#> 1901 -2.088504998 -1.107468341 -0.5688362046 -0.27630925943 -0.416078209
#> 1902 3.460745102 -0.207909042 -3.0867122307 1.63710733541 2.090515443
#> 1903 6.194573123 -0.574952077 7.9106006342 -3.34245529633 1.468931452
#> 1904 4.763448847 0.352724795 0.2124373759 -1.42498423360 -0.684567177
#> 1905 2.746536449 1.634908157 -1.4486611004 1.25616468553 -0.753321820
#> 1906 -2.885626481 -1.575140548 0.0652041751 -0.41730000109 -0.388756521
#> 1907 1.253817413 2.729481323 5.0983841071 -2.95656911321 3.051113249
#> 1908 2.198645621 -1.257551647 -1.3301317635 -1.00630135813 -0.242258378
#> 1909 3.027132123 -0.088042736 0.1316159765 1.34795229089 -1.448635064
#> 1910 0.503167766 2.163320081 -0.4028319461 1.37094093445 0.687801642
#> 1911 -2.143949598 -0.081955222 -0.3762414830 -1.29028629187 0.286304889
#> 1912 0.204179453 1.426760138 -1.2175752368 -1.60139517360 -0.440845486
#> 1913 -2.883293348 -0.914961030 0.0991344268 0.18713871688 0.667597006
#> 1914 -3.114876260 -0.809840792 0.2460131368 0.11280021314 0.461252460
#> 1915 2.804317673 1.183719257 -1.9863864725 -0.27199849912 -0.485570641
#> 1916 -3.091319591 -0.654299191 -0.1983745667 0.09876352101 1.305286184
#> 1917 0.312170247 1.262867230 0.4919437191 0.69947591377 -2.376484437
#> 1918 0.541765055 2.682387444 1.2468275624 0.74404023087 -1.370821992
#> 1919 -2.418334236 0.072810898 -0.3413402258 -1.59677335091 -1.248758505
#> 1920 -2.551653548 -1.445203990 -0.3181542273 -0.89955286813 0.060652304
#> 1921 4.476534896 -2.231293867 4.2138638699 1.15993563063 -0.976018585
#> 1922 -2.592991575 0.699981581 -0.2781680163 -1.51179879517 -0.663924829
#> 1923 -3.011834597 -1.428268956 0.1314278740 -0.29567267822 -0.184332220
#> 1924 4.137263396 -1.337397007 -2.7128341185 0.79927814872 1.121707849
#> 1925 -2.284811497 -0.842468934 -0.1505584811 -0.27521329273 1.078193948
#> 1926 2.727051781 -0.075553397 -1.5489093159 -0.59002507847 -0.792989218
#> 1927 4.076495919 -2.268090886 -1.3410065634 2.08404097074 -0.867017160
#> 1928 2.548520355 -0.222211833 -1.8226850578 -0.92295914309 -0.548234292
#> 1929 -2.778507362 0.572996607 0.1361926614 0.08583745098 -0.481934125
#> 1930 -1.898632012 0.999961354 -0.2461101701 -0.85704464315 -0.992467456
#> 1931 -1.360971123 0.241637898 -0.4671197104 -1.88126593339 -1.323732168
#> 1932 0.704780125 0.268167660 -1.1818526811 -0.42765992123 -0.263939275
#> 1933 3.296309310 -0.258141890 -1.6641445189 -0.85195649768 -1.281574909
#> 1934 3.703682975 0.010311772 1.1173910840 1.47765988960 -0.374653571
#> 1935 -0.055686603 -0.192083675 -0.3121862550 -0.85276972286 -1.443601984
#> 1936 2.501050593 -0.711675561 -1.2419919098 -1.64938089236 -1.974479515
#> 1937 -2.915532622 -1.371734506 -0.0447568917 -0.74356950717 0.365607765
#> 1938 -0.543762315 1.453660018 0.3052909924 1.76484729254 -1.771366051
#> 1939 5.076385221 -2.190994754 1.2857219685 -0.04010231177 -0.742429697
#> 1940 -1.777789053 0.888718900 -0.3491837938 -0.92740287178 -1.517476919
#> 1941 2.903215525 1.408684399 -1.6719760106 0.74305567119 0.515442574
#> 1942 3.943946592 0.503031815 7.8744626556 -1.99405265569 0.663565549
#> 1943 -2.357292686 -0.027761666 -0.2315825766 -0.57353037976 -0.292872372
#> 1944 -2.069604941 0.879271642 1.3396963514 1.02492931581 -1.980485952
#> 1945 -1.845057100 0.467581359 -0.0395771419 -0.63303898496 -1.428260558
#> 1946 5.020738271 -0.305658617 -2.4547256855 -0.41013226002 -0.218987511
#> 1947 1.622753065 1.232548362 -1.2414938021 0.23714995282 0.678979412
#> 1948 3.178529193 1.078887371 -1.5264887065 -0.47150998156 -0.255965923
#> 1949 4.834761586 -1.660292004 0.5263801268 -0.07820375789 -1.914864732
#> 1950 3.673029309 -0.692178152 2.1378668386 -3.05101316715 1.194313798
#> 1951 0.838550901 0.615230916 0.4707186115 1.16887005223 -2.157167149
#> 1952 -2.485673200 -2.110057188 0.8231981984 1.08668596090 -1.779178337
#> 1953 -1.563971010 1.054822267 1.3402478437 1.74032647120 -0.585848043
#> 1954 -0.684230523 0.862824743 -0.2225856842 0.23491804884 -0.085542144
#> 1955 -1.648142572 -0.088913492 -0.8071844492 -0.32200707791 1.588471478
#> 1956 0.580304501 2.496601047 -0.6097524615 2.50381427635 -0.195071809
#> 1957 1.053679715 -1.393555649 -2.0515026598 0.98048086369 1.258239759
#> 1958 -2.644973309 0.821067303 0.3203070811 0.43570940433 -1.096445349
#> 1959 -2.533451190 -1.564452999 1.4938717711 0.78182727609 -0.760990634
#> 1960 -2.786584856 -2.244065935 2.2675262781 2.30080207162 -1.891903948
#> 1961 -2.369364090 -0.607006317 -0.1444831678 0.70819118507 1.873624926
#> 1962 -2.618577045 -0.881275369 1.6621141834 1.61706856545 -1.236002744
#> 1963 7.672788535 -1.908023804 0.1355019236 -0.98397393527 -0.074931651
#> 1964 -1.359199069 0.292478768 -0.4304392877 -1.33831853076 -1.440231201
#> 1965 -1.300378888 2.111021032 0.2215535728 1.45656279726 0.361736667
#> 1966 -2.563776082 0.063455384 -0.2604808639 -1.41720101318 -1.535991775
#> 1967 -1.851410210 1.456938846 0.0954245122 0.70186816361 0.838833956
#> 1968 -0.102072462 -1.549667610 -0.7497911296 0.17300060216 0.341411771
#> 1969 -2.655001762 -0.854822597 0.1606899155 0.70122204903 1.015334297
#> 1970 0.104212166 0.991036985 -0.9321590386 -1.39059558162 -0.962025675
#> 1971 4.747593445 -1.273908083 1.5977036394 0.51877865542 -1.816431956
#> 1972 -1.717105101 0.553906608 -0.4957291648 -0.79366919609 0.469681974
#> 1973 6.018503136 -0.089671245 1.7220568618 -0.61509529605 -1.719298841
#> 1974 4.258762736 0.642281781 1.8914153266 -2.46159514560 0.483023365
#> 1975 -3.337404718 0.436795271 -0.0815045889 -0.79815661635 0.301149026
#> 1976 4.024375465 -3.146482989 3.2377904824 1.75599402168 -0.405935011
#> 1977 2.651643260 -1.584320325 1.2551977793 0.22474166211 -0.040665550
#> 1978 0.111106630 0.720469592 -0.8733997887 -0.43821285786 0.136303648
#> 1979 -1.540527530 0.171944921 1.0579719230 2.35061178274 -0.084001386
#> 1980 -0.143900186 -0.676532744 -1.3077678785 -0.04389683767 0.786129709
#> 1981 -2.913116806 -1.292281100 0.0002085519 -0.61014058176 -0.472165026
#> 1982 -2.963307769 -1.279151340 0.1374398015 -0.54047746290 -1.018983921
#> 1983 -2.209607926 -0.881303568 1.2284746294 1.28984856678 -0.501763076
#> 1984 -2.166797059 -1.343259965 -0.3186234927 -1.35076456391 -1.655514108
#> 1985 -2.602437819 0.390519461 0.2937509287 0.14428998613 -1.102638963
#> 1986 -2.653622550 0.291931530 -0.2008633402 -0.84854904778 0.726542084
#> 1987 3.477123035 0.837251369 -1.9030356975 0.89756204711 0.897421950
#> 1988 -0.821574131 1.376509620 0.8075450244 1.98171653431 -1.438530410
#> 1989 -0.384066651 0.588793806 -0.8750474792 -1.79324169191 -1.360051066
#> 1990 0.684254808 2.091985992 -0.6013278749 -0.62506036137 0.769990920
#> 1991 4.012301565 -0.880659439 -1.6409223996 -0.26256703857 -0.638914248
#> 1992 -2.391661750 -0.788980016 0.4707683528 1.05484498910 -0.239500261
#> 1993 6.937690897 -1.722414171 3.6614753992 -1.56799077486 1.592427056
#> 1994 1.753001020 -0.104591198 -2.0456240415 3.06514295589 4.034768447
#> 1995 3.978313438 -0.482101921 0.1208852984 0.44921099749 -1.787915805
#> 1996 -3.071239708 -1.022090365 -0.3079245479 -0.37433942043 1.132555451
#> 1997 -2.057653500 -1.569142844 1.2805205084 0.77014530057 -0.785407831
#> 1998 -3.100522270 0.623321858 -0.0471244122 -0.48246660970 0.670923172
#> 1999 -3.151282348 0.428394543 -0.1078453176 -0.40852463027 -2.138011472
#> 2000 -3.304776975 0.757094668 -0.1052422330 -0.98034474063 0.100896975
#> 2001 -2.609368856 -0.856490548 -0.0455510739 0.00988874522 0.562960202
#> 2002 -2.441189119 -1.424219512 -0.1044928035 -0.43735864895 0.511719902
#> 2003 -1.435058689 1.714328415 -0.4444729333 0.12027557059 0.195235732
#> 2004 1.687594472 1.801502842 -0.5455193197 -0.81355475376 -0.847435248
#> 2005 3.152653308 2.071406044 -1.1866407234 0.45582756346 0.455125332
#> 2006 -2.572884941 -1.145730785 -0.1232867827 -0.44976885431 0.448060786
#> 2007 -2.990841057 -0.235632562 0.0059134635 -0.82919076200 -0.941246355
#> 2008 -2.163207495 -0.786830742 -0.3000706892 -1.26393083857 -1.889718007
#> 2009 1.265153942 2.123580488 1.7551126169 2.93286821672 -2.288582051
#> 2010 -3.163388273 -1.287609217 -0.2123288685 1.28678499725 3.186435336
#> 2011 1.893753227 1.718547605 1.5478064583 2.01168984737 -2.741742352
#> 2012 1.566422580 2.054691423 -0.9106096204 0.35887115451 -0.661215149
#> 2013 -3.116588232 -0.573538429 0.1624963328 0.10262721067 1.028713358
#> 2014 3.293881106 1.776968384 -1.4586731499 2.62949775039 1.082735647
#> 2015 -1.013127992 -1.069500030 0.4760796228 2.51331203391 0.451514098
#> 2016 0.093433483 1.021619229 -1.0069656798 -1.47032324063 -1.315219648
#> 2017 2.198759318 1.728059879 -1.2466136179 1.08360978710 1.991504134
#> 2018 1.183668226 1.391416780 -1.2493884888 -0.33335418884 -1.609816384
#> 2019 -2.641185353 -1.381207704 -0.1446109113 -0.53290768660 1.239997175
#> 2020 4.140376193 -0.842192993 -0.8742638514 3.05535868557 0.128652261
#> 2021 1.202869191 -1.133061590 -1.2234145550 0.62410573462 0.715254673
#> 2022 2.332809597 3.241173733 -1.1562750121 2.02091205987 1.115062804
#> 2023 -2.781784356 -1.273141578 0.0847341313 -0.04625488397 0.184863845
#> 2024 -2.494825182 -1.306493347 -0.1903514142 -0.93658563095 0.655890746
#> 2025 -0.724231243 0.967748507 -0.5502561633 1.74356723591 1.810222096
#> 2026 -1.695467285 -0.372270720 -0.2106442151 0.18491050656 0.112456416
#> 2027 -1.426504484 0.598020941 -0.4923746122 -1.68353286246 -0.867782773
#> 2028 4.299983163 -1.197284301 1.4531107320 -1.04846227054 1.212101337
#> 2029 3.245240735 -1.827412991 -0.3600032422 1.84336060608 -0.925384435
#> 2030 3.108211202 -0.730927263 -1.7408155424 -0.62199132277 -0.101872475
#> 2031 -2.603604837 0.214142291 -0.2940654826 -1.47606531515 -1.229255077
#> 2032 -0.215582387 1.476613603 1.4956940339 1.40384125575 0.331725762
#> 2033 1.501726153 0.795427490 -1.0246590939 -0.73642248513 -1.301601220
#> 2034 -2.774796286 0.811057539 0.1822457997 -0.39843173186 -1.125200331
#> 2035 -2.342008741 0.316171299 -0.5691138442 -1.90744474410 -0.316869701
#> 2036 -2.107088691 -0.639881608 -0.1011867604 -0.20481724714 -0.741255699
#> 2037 2.868061851 -0.199433553 -0.7281455452 0.57448276320 0.587270612
#> 2038 2.485537026 1.335444483 -1.1341258008 1.27570492457 -0.410569164
#> 2039 1.681644784 2.976220165 -0.4134482745 0.49978670630 -0.165036970
#> 2040 -2.319552565 -0.387700563 -0.0999442938 -0.19581585285 0.732882602
#> 2041 2.589784686 -1.006343546 -1.3618218691 -0.08714479005 0.564391855
#> 2042 -2.572831249 -0.134518233 -0.3674615733 -1.09868496261 0.597295699
#> 2043 2.507774341 2.182962276 -0.9634632518 0.68727492547 1.276961360
#> 2044 2.067523970 0.825113037 -1.5458646315 -0.70669564119 -0.834241286
#> 2045 -1.514613267 -0.424188683 -0.6061982080 -1.65373962588 -1.151786626
#> 2046 2.111148228 1.691174250 -0.1669160829 -1.04279441058 -0.154573063
#> 2047 -2.302684944 -1.125353999 -0.3590223950 -0.33963925815 1.329038950
#> 2048 -2.863948808 -1.341879918 -0.0550962285 -0.64776807662 0.821992149
#> 2049 -0.146362362 2.106534326 -0.5477173059 -1.04161690664 -0.335956765
#> 2050 2.323084261 0.554989972 -2.3821183798 -0.78769541682 0.031353542
#> 2051 -3.063700674 -1.086296402 0.1553394171 -0.49884648415 0.165317496
#> 2052 1.322496800 -1.436019538 -0.0419877417 1.67107329656 -0.805712210
#> 2053 3.511200716 -0.801559307 -1.6777394540 0.79931250869 1.592796011
#> 2054 0.923164035 -0.982975373 0.4930272330 1.31929224960 -1.672419945
#> 2055 -2.911858020 -1.459541746 0.0601134586 -0.55495757687 0.134168351
#> 2056 -1.972028306 -1.386316407 -0.7306530710 -0.41746985346 0.392705734
#> 2057 -2.213600700 -0.772884844 -0.1613199627 0.42787165526 0.542045081
#> 2058 -0.736418200 2.078534901 -0.1236867405 0.39329118515 -0.098608804
#> 2059 3.304538517 -0.023243531 -0.9213362773 0.45609430067 1.221197088
#> 2060 1.697618762 1.604983583 -0.5134792906 0.59777108575 0.154804651
#> 2061 1.884364223 -2.129196475 -1.4289788537 -0.07276756673 1.788328123
#> 2062 4.161452713 1.102334794 0.1124183703 -1.58531878465 -0.060667184
#> 2063 -2.325123384 -1.553214274 -0.0943947505 -0.23435106183 -0.916957708
#> 2064 -2.356076384 -0.341868905 -0.4328486288 -1.52561515937 -0.751880599
#> 2065 -1.090750977 1.538094891 1.4560053082 2.09074761656 -1.145843746
#> 2066 -2.782599825 -1.617803871 -0.3528221005 -0.36860498819 1.107167886
#> 2067 -0.029567622 0.112338930 -0.9649425277 -1.09585504704 -0.535082522
#> 2068 5.938722173 -3.206589008 1.5211512461 1.49697185945 -0.106622179
#> 2069 1.265153942 2.123580488 1.7551126169 2.93286821672 -2.288582051
#> 2070 -2.484375340 0.444856939 -0.4538329709 -1.88139174110 -0.439584976
#> 2071 5.029915493 -2.258474763 -3.3096889695 0.50827970425 0.463503303
#> 2072 -1.608720373 1.687271644 0.0297553947 0.32568530086 -1.052963556
#> 2073 4.103311329 -0.747142138 3.1583474276 2.48664626033 -0.227477624
#> 2074 1.843998223 1.257050843 4.7753885167 -3.34397672798 2.573431545
#> 2075 -2.437339390 -0.444203711 -0.2404009772 -1.13666492991 -0.344105755
#> 2076 1.947645942 1.947188951 -1.0470429570 -1.27789959138 -0.406150234
#> 2077 -3.182860971 -2.167204161 1.4220615546 1.92181633383 0.752739641
#> 2078 2.868542730 1.260474299 2.3403846859 -2.49612080261 1.867819419
#> 2079 -2.356421268 -1.595647351 -0.5403116734 -0.05685675577 1.207733101
#> 2080 -3.029496333 -1.969135482 -0.0182370342 1.00146602960 1.574916994
#> 2081 -1.359199069 0.292478768 -0.4304392877 -1.33831853076 -1.440231201
#> 2082 0.867611975 0.588558849 1.4619653163 2.80245126140 -3.175283581
#> 2083 -1.322505876 1.816081101 -0.1633158025 -0.50481984056 -0.902838980
#> 2084 5.262422993 -1.312033168 1.0438443845 -0.84674893004 -0.823883215
#> 2085 -0.030062732 2.343063440 -0.4156825208 1.21719752053 -0.215531348
#> 2086 1.360021767 0.064271128 0.4937149927 1.99311738159 -0.205627234
#> 2087 -2.653063354 0.426854298 -0.4159752332 -1.51589677939 -0.550437562
#> 2088 -1.659398359 -0.068986360 -0.4533742534 -0.82199055046 -0.408675810
#> 2089 -0.746500147 2.439512968 -0.4690972480 -0.19648832440 0.551051489
#> 2090 1.829498669 1.507642377 -0.7585359398 -0.71215952791 0.449387534
#> 2091 -2.911602717 -1.782573941 -0.0966823202 0.77323248553 1.517791132
#> 2092 2.339945344 1.752964713 -1.0641729724 -1.26996444462 -0.631335928
#> 2093 3.752929061 -0.366552880 -1.3548296958 -0.45166974813 -0.410333825
#> 2094 -3.021588653 -1.436152200 0.1528180386 -0.41716173495 -0.656411548
#> 2095 -2.416121187 -0.847416847 0.0853696152 0.00563571674 0.237545111
#> 2096 -3.383010621 -0.917566565 -0.2643911026 -0.26358757613 1.717874686
#> 2097 -2.179521601 0.614086650 0.0591012676 -0.06441159807 0.081130504
#> 2098 1.719738133 1.370607167 -2.1451635036 1.36372452483 2.010277741
#> 2099 -2.068226454 1.010599785 1.2267274501 -2.49982082758 0.578732653
#> 2100 5.148557372 -0.014010128 5.0164736990 -4.09476422041 3.457387419
#> 2101 0.286944639 1.591684411 -0.5159695828 -0.10134895243 -0.151141903
#> 2102 4.065493730 -1.522850277 1.8928176739 -0.76552955457 0.393042908
#> 2103 1.942733987 0.748369879 1.0942205703 1.23737908342 -0.793589530
#> 2104 -3.577273331 -0.446227660 0.1533805472 -0.52804449715 0.424473524
#> 2105 -2.899972298 -1.367417897 0.0377030978 -0.49888029096 0.002156987
#> 2106 4.161005012 -1.572090590 1.9047432742 -0.13875808639 -0.915800473
#> 2107 -0.274338092 -0.850575136 -1.0985267692 -3.69395525283 -1.609425525
#> 2108 -2.911701075 -1.489257302 -0.2558585757 1.06512608075 2.438904214
#> 2109 2.813278766 -0.551176468 -1.8317409999 0.41578506181 -1.038242136
#> 2110 -0.718001330 1.235431389 -0.0692752415 -0.45271655533 -0.540889412
#> 2111 -1.739443070 0.647142798 0.9037278058 2.10032075783 -1.716148353
#> 2112 -3.018375767 -1.321866379 0.2015903944 -0.23251009474 -0.780102888
#> 2113 -0.770535190 0.425064917 -0.8790402609 -2.02929233962 -1.640090312
#> 2114 -2.286343376 0.646479508 1.5947878149 1.83155193136 -1.701869791
#> 2115 -3.187362616 -1.353965536 0.3379723033 0.01086474908 -0.685554370
#> 2116 -2.788923680 0.106822099 -0.0276932386 -0.55187728778 -0.206589342
#> 2117 -2.366104634 0.870578727 -0.1746497512 -0.00263243268 -0.267523621
#> 2118 -1.989137632 -0.603685777 -0.3520366253 -0.80797052087 -0.938179125
#> 2119 1.593837180 2.735263063 2.9428890581 -0.73369567512 1.481349239
#> 2120 3.567325593 -0.221848077 2.0349272861 0.68373237328 -1.750506338
#> 2121 -3.153240089 -0.976005710 0.3820873018 -0.13899044312 -0.014523667
#> 2122 -2.481570910 1.953105346 -0.2021271689 -0.54681124972 -0.643592822
#> 2123 -1.210562509 0.926170583 -0.2969889493 -0.12010231766 0.149804020
#> 2124 -1.876375165 0.366008837 -0.3645392343 -1.36372031890 -1.192890927
#> 2125 -2.631682548 0.614906338 0.0348928644 -0.77204193105 -0.716181986
#> 2126 4.300404724 -1.561082316 -0.2592400799 0.69590710486 0.131925762
#> 2127 -2.856463122 -0.374979806 0.0134010588 0.40909404425 1.299218257
#> 2128 -1.739443070 0.647142798 0.9037278058 2.10032075783 -1.716148353
#> 2129 -2.934094252 -1.371237837 0.2036968885 -0.24578522572 -0.232662972
#> 2130 -2.783794430 -1.803393153 -0.1037752433 0.52317455322 1.503016134
#> 2131 -2.226396482 0.572929543 -0.3099010362 0.77505198606 0.817051227
#> 2132 -2.190210741 -0.458862516 -0.3920822328 -1.29061949988 -1.042288012
#> 2133 0.808679705 2.496206540 1.1695579749 -2.01367428411 0.790691455
#> 2134 -0.497604393 0.328905424 -0.9270567850 -1.19255469788 -0.854997291
#> 2135 3.504938048 1.707934671 0.4771989881 1.51277347186 0.083263564
#> 2136 -1.211320246 -0.640389255 -0.1342436159 -0.33701092260 0.915035230
#> 2137 -0.539133676 2.138208960 -0.4893298768 0.23378972080 -0.360174444
#> 2138 4.726692382 -1.255218871 -0.8940151470 0.08597560871 0.682773117
#> 2139 -3.342578951 -2.318722747 0.1784768796 1.19291059790 1.043065729
#> 2140 -2.754751448 -0.824714567 0.1210200274 -0.19173627853 0.359217687
#> 2141 3.680012875 0.825381305 -1.9728418657 0.76403944273 -1.427206421
#> 2142 4.000163424 -3.363866993 6.8849586028 -0.64653455928 0.025942651
#> 2143 6.363043806 -3.027126683 0.7278779753 1.65413554386 0.769095109
#> 2144 -2.535356484 -0.691833594 -0.2241215996 -0.79198515223 -0.552803656
#> 2145 0.364769132 2.029016983 1.5457716205 -1.33348040014 -0.336267019
#> 2146 3.629081591 0.569469964 7.1040724554 -1.15141968351 3.477813216
#> 2147 2.907429604 0.017922193 -2.4723769103 0.68205733686 0.548312971
#> 2148 2.275753515 1.877141225 -1.0297247723 0.46200841794 -0.768011191
#> 2149 1.441081973 2.264075654 2.7277509244 -1.79759198778 0.606652502
#> 2150 6.332733056 -2.374301820 2.3680399553 0.51370616507 -0.400287592
#> 2151 4.526655897 -1.076549530 -1.9978371748 0.05526609360 -0.444744282
#> 2152 -1.017456976 1.921043870 0.3018258183 1.06503083297 -0.658617399
#> 2153 0.184846166 1.012464037 0.3530265515 2.59210681171 -0.965973235
#> 2154 -1.211032267 1.092166828 -0.7048580171 -1.32053415600 -0.194099168
#> 2155 -2.950574967 -0.481157424 0.2158275975 0.19077539216 0.667990410
#> 2156 -0.464069361 2.637512624 1.6600091540 -1.00706436593 1.843655483
#> 2157 -1.107106801 -1.090961799 -1.1417110512 -1.74327731831 -0.010320802
#> 2158 -2.580867690 -1.673140989 -0.1945266245 0.91261819153 0.714667983
#> 2159 -2.064047614 -0.310275522 -0.6285734530 -1.21944448312 -0.232231349
#> 2160 2.767480514 2.419668704 0.2480729449 -0.52910680984 0.721308314
#> 2161 2.402528871 1.420194322 0.3576989951 -1.43940668888 0.711881450
#> 2162 4.610922592 -0.862447380 -0.0740797425 -1.50445321519 -0.144074951
#> 2163 2.793318135 -0.465090001 -1.9394692868 0.16391249759 -0.277673596
#> 2164 -2.590226118 -1.870935438 -0.5131686105 -0.20231558127 1.101926338
#> 2165 4.700100615 -1.378146092 -0.4715168201 0.90553421598 -0.909787228
#> 2166 -2.734244801 -0.230081655 0.0203604951 -0.53137173215 -0.715336756
#> 2167 -2.448746549 -0.537891417 -0.1571843039 -1.42493506114 -1.595657537
#> 2168 6.122961465 -2.317900927 0.7900805846 2.68885166881 -0.402644757
#> 2169 3.401024655 1.353680346 1.0059297706 2.90316187817 -1.600397963
#> 2170 -3.241149339 1.233843463 0.1921479255 0.08083415956 -0.824860176
#> 2171 -1.809315892 -0.871245800 -0.0096705394 -0.27321973118 -0.952622216
#> 2172 0.051299682 0.675411493 0.3900261438 1.49297388011 -0.824700189
#> 2173 -0.425893952 1.931307040 1.9578056507 3.58901168432 -2.051922764
#> 2174 -2.938870818 0.755441575 0.1250256314 0.05636194945 0.743297866
#> 2175 -2.873009732 -2.076350178 -0.0911212378 1.31217446582 1.854177749
#> 2176 0.994409763 1.472322909 -0.3751587533 0.95733376056 -1.130271098
#> 2177 -0.737451137 1.622158018 1.4797191348 1.86371121302 -1.466492331
#> 2178 2.569434945 0.272077840 -2.1032801749 -0.38955974000 0.853639627
#> 2179 -2.384872404 -1.687701146 -0.1000527062 -0.26215733140 0.116327482
#> 2180 -2.452924204 1.561835487 0.1834906144 0.53457278168 0.282619352
#> 2181 2.148375468 0.495288706 -1.4232856531 1.65812549535 0.588754616
#> 2182 -2.467646818 1.701815047 1.4558434072 -1.73598928542 1.019430823
#> 2183 -2.697294408 -0.483353283 -0.6010862252 -0.64929856201 0.728068800
#> 2184 -2.446767779 0.015119573 -0.0892025693 -0.78467834210 -1.582375522
#> 2185 -0.669627194 2.112876026 -0.3099943637 1.43973682057 0.626924197
#> 2186 3.454180718 -1.084421934 -1.4399319931 -0.34171148866 0.326623251
#> 2187 -2.742517299 0.713838362 0.1093535681 -0.61125107946 -1.707178393
#> 2188 2.868610240 -2.314903453 -1.3077060167 0.49459916752 1.156458933
#> 2189 -3.734902740 -0.307876556 0.5743044030 0.03797979370 -0.299585115
#> 2190 -2.874671612 0.287929422 -0.3055570844 -1.54640623244 -0.255874903
#> 2191 -3.007657459 -1.099101403 0.1389866609 -0.04295938428 1.025314915
#> 2192 4.346547236 -1.432716892 -2.8649298200 -0.49028099501 -1.391652120
#> 2193 -3.306791356 -1.397358237 0.2578031046 -0.28158766418 0.321759949
#> 2194 -1.235152035 -0.058108631 -0.1669693984 0.95919953725 1.713823050
#> 2195 0.058218938 0.671824430 -1.0142151504 -0.74488024930 0.777662943
#> 2196 4.311356378 -1.447448393 3.1941874957 -1.16520383806 -0.567610771
#> 2197 -3.090139165 -1.238934196 0.0814176375 1.42154090337 1.603569730
#> 2198 -2.572297447 1.440786788 -0.3559881136 -0.86922030089 -0.700249154
#> 2199 0.465073032 1.119363212 0.7122583448 1.41133169338 -2.086802438
#> 2200 -0.452871662 2.334041880 -0.1729826318 1.21555781032 0.999101786
#> 2201 -0.545267690 2.987092427 0.1210791215 1.72389912234 2.195860094
#> 2202 -0.243650361 1.856436094 -0.4011921361 0.18672899908 -0.883913532
#> 2203 -3.270878953 -1.149075354 0.3581048395 0.39155820923 0.070368924
#> 2204 -3.090631876 -1.206793193 1.1326119945 2.29294653441 -0.269551554
#> 2205 1.025953524 1.158030831 0.0774677554 0.28960928056 0.472159438
#> 2206 -2.404773029 -1.889997129 -0.2319236449 -0.83973476103 -0.626545832
#> 2207 -2.935653928 -1.266598740 -0.0682913139 -0.75394633439 0.626234863
#> 2208 2.662399484 1.458241379 -1.1372204350 1.33769447030 0.497620251
#> 2209 -0.905846010 2.565050030 1.6004470355 0.38249161687 0.686628374
#> 2210 1.783752215 0.046260807 1.0417534727 -1.65815384239 1.508584589
#> 2211 1.833678570 1.359971223 -1.1199785151 -0.52319564701 -0.937017971
#> 2212 -1.785063641 0.900970381 1.1045438612 0.25356720360 -1.2563698275.4 Visualisasi PCA
# plot kontribusi dari tiap variabel
fviz_pca_var(pca, col.var = "contrib", gradient.cols = c("#002bbb", "#bb2e00"), repel = TRUE)
# plot 5 variabel dengan kontribusi terbesar.
fviz_pca_var(pca, select.var = list(contrib = 5), repel = TRUE)
Insight : - PCA mampu menangkap 90% dari data pada PC ke 17 - 5 variabel
dengan kontribusi terbesar adalah wines, income, total spend,
numcatalogpurchase, dan meat - Pada PC1, variabel yang paling
berkontribusi: total_spent (dengan nilai absolut =
0.957266804)
6 K-Means Clustering
Algoritma k-means adalah salah satu pendekatan umum dalam pengelompokan data. Kita akan menerapkan Clustering k-means, memvisualisasikan, dan menginterpretasi hasilnya. Namun, pertama-tama kita akan mengestimasi nilai k secara empiris dari data dengan elbow method dan silluete method.
6.1 Elbow Method
tot_withinss <- map_dbl(1:10, function(k){
model <- kmeans(x = df_scaled, centers = k)
model$tot.withinss
})
elbow_df <- data.frame(
k = 1:10,
tot_withinss = tot_withinss)
head(elbow_df)#> k tot_withinss
#> 1 1 57486.00
#> 2 2 44263.74
#> 3 3 40506.26
#> 4 4 37932.97
#> 5 5 36461.76
#> 6 6 34643.92
Elbow method menunjukan penurunan pada K =2, maka K optimal berdasarkan
metode ini adalah K=2.
6.2 Silhouette Method
sil_width <- map_dbl(2:10, function(k){
model <- pam(df_scaled, k = k)
model$silinfo$avg.width
})
sil_df <- data.frame(
k = 2:10,
sil_width = sil_width
)
head(sil_df)#> k sil_width
#> 1 2 0.26551306
#> 2 3 0.14575568
#> 3 4 0.07964837
#> 4 5 0.08799129
#> 5 6 0.09913153
#> 6 7 0.10562322ggplot(sil_df, aes(k, sil_width)) + geom_line() + scale_x_continuous(breaks = 2:10) + labs(y = "Avg sil width")
Lebar siluet rata-rata maksimum terjadi pada k dengan nilai 2, yang
memiliki nilai yang lebih besar dari nol dan mendekati 1, menunjukkan
bahwa jumlah K=2 adalah jumlah yang terbaik.
# gabungkan cluster kedalam data awal
df_clean <- df_clean %>% mutate(cluster = kmeans$cluster)
head(df_clean)#> Education Marital_Status Income Kidhome Teenhome Recency wines fruits meat
#> 1 1 0 58138 0 0 58 635 88 546
#> 2 1 0 46344 1 1 38 11 1 6
#> 3 1 1 71613 0 0 26 426 49 127
#> 4 1 1 26646 1 0 26 11 4 20
#> 5 1 1 58293 1 0 94 173 43 118
#> 6 1 1 62513 0 1 16 520 42 98
#> fish sweet gold NumDealsPurchases NumWebPurchases NumCatalogPurchases
#> 1 172 88 88 3 8 10
#> 2 2 1 6 2 1 1
#> 3 111 21 42 1 8 2
#> 4 10 3 5 2 2 0
#> 5 46 27 15 5 5 3
#> 6 0 42 14 2 6 4
#> NumStorePurchases NumWebVisitsMonth AcceptedCmp3 AcceptedCmp4 AcceptedCmp5
#> 1 4 7 0 0 0
#> 2 2 5 0 0 0
#> 3 10 4 0 0 0
#> 4 4 6 0 0 0
#> 5 6 5 0 0 0
#> 6 10 6 0 0 0
#> AcceptedCmp1 AcceptedCmp2 Complain Response Age Total_spent cluster
#> 1 0 0 0 1 66 1617 1
#> 2 0 0 0 0 69 27 2
#> 3 0 0 0 0 58 776 1
#> 4 0 0 0 0 39 53 2
#> 5 0 0 0 0 42 422 2
#> 6 0 0 0 0 56 716 1#> cluster n
#> 1 1 882
#> 2 2 1330customer_centroid <- df_clean %>%
group_by(cluster) %>% # mengelompokkan data berdasarkan cluster
summarise_all(mean)
customer_centroid#> # A tibble: 2 × 27
#> cluster Education Marital_Status Income Kidhome Teenhome Recency wines fruits
#> <int> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl>
#> 1 1 0.916 0.627 71622. 0.0658 0.431 49.4 612. 55.8
#> 2 2 0.866 0.658 38919. 0.691 0.556 48.8 102. 6.77
#> # ℹ 18 more variables: meat <dbl>, fish <dbl>, sweet <dbl>, gold <dbl>,
#> # NumDealsPurchases <dbl>, NumWebPurchases <dbl>, NumCatalogPurchases <dbl>,
#> # NumStorePurchases <dbl>, NumWebVisitsMonth <dbl>, AcceptedCmp3 <dbl>,
#> # AcceptedCmp4 <dbl>, AcceptedCmp5 <dbl>, AcceptedCmp1 <dbl>,
#> # AcceptedCmp2 <dbl>, Complain <dbl>, Response <dbl>, Age <dbl>,
#> # Total_spent <dbl>Tabel berikut menampilkan cluster dengan nilai terendah dan tertinggi untuk masing-masing karakteristik konsumen
customer_centroid %>%
pivot_longer(-cluster) %>%
group_by(name) %>%
summarize(
kelompok_min = which.min(value),
kelompok_max = which.max(value))#> # A tibble: 26 × 3
#> name kelompok_min kelompok_max
#> <chr> <int> <int>
#> 1 AcceptedCmp1 2 1
#> 2 AcceptedCmp2 2 1
#> 3 AcceptedCmp3 2 1
#> 4 AcceptedCmp4 2 1
#> 5 AcceptedCmp5 2 1
#> 6 Age 2 1
#> 7 Complain 1 2
#> 8 Education 2 1
#> 9 Income 2 1
#> 10 Kidhome 1 2
#> # ℹ 16 more rows7 Profiling Consumer
Cluster 1 - Kelompok ini memiliki daya beli tinggi dalam
hal pembelian anggur dan daging dibandingkan dengan kelompok 2. -
Pendapatan relatif lebih tinggi dibanding kelompok ke 2 - Pengeluaran
total yang cukup tinggi. - Sering berbelanja langsung di toko dari pada
melalui website atau catalog - Kelompok ini tidak memiliki anak kecil di
rumah, bisa di simpulkan kelompok ini adalah keluarga yang telah lama
menikah
Cluster 2 - Kelompok pelanggan ini memiliki daya beli
rendah dalam hal pembelian anggur dan daging, dengan sebagian besar dari
mereka tidak membeli item ini sama sekali. - Memiliki pendapatan yang
relatif lebih rendah dibandingkan dengan kelompok lain. - Mempunyai
pengeluaran total yang lebih rendah. - pelanggan kategori ini lebih
sering mengunjungi website - Kelompok ini memiliki anak kecil di rumah,
bisa di simpulkan kelompok ini adalah keluarga yang baru menikah