#import data 
library(readr)
data <- read_csv("~/Desktop/Lab/FirstGen Professional/FGP Exploratory Study/FGP Exploratory Study Analyses/data.csv")
## New names:
## Rows: 211 Columns: 30
## ── Column specification
## ──────────────────────────────────────────────────────── Delimiter: "," chr
## (7): recruitment, year, occupation, duration, Q19, Q22, Q23 dbl (23): ...1, ID,
## age, gender, sexuality, born, ethnicity, income, fam_inc...
## ℹ Use `spec()` to retrieve the full column specification for this data. ℹ
## Specify the column types or set `show_col_types = FALSE` to quiet this message.
## • `` -> `...1`
library(dplyr)
## 
## Attaching package: 'dplyr'
## 
## The following objects are masked from 'package:stats':
## 
##     filter, lag
## 
## The following objects are masked from 'package:base':
## 
##     intersect, setdiff, setequal, union
fgp_data <- data %>% filter(fgp == '1')

d <- data.frame(fgp_data$sap_stand, fgp_data$sap_dis, fgp_data$anxiety, fgp_data$depression, fgp_data$wswb, fgp_data$wellbeing)

d <- rename(d, standards = fgp_data.sap_stand, discrepancy = fgp_data.sap_dis, anxiety = fgp_data.anxiety, depression = fgp_data.depression, swfw = fgp_data.wswb, wellbeing = fgp_data.wellbeing)

write.csv(d, file = "fgp_lpa_data.csv", row.names = FALSE)

Using kmeans

#make a dataframe of just standards and discrepancies
cluster_data <- data.frame(d$standards, d$discrepancy)
cluster_data <- rename(cluster_data,standards = d.standards, discrepancy = d.discrepancy )
# remove missing data
cluster_data <- na.omit(cluster_data)

# scale the data
d_scaled <- scale(cluster_data)
d_scaled
##       standards discrepancy
## 1    1.21645598  1.46427775
## 2   -0.49223094 -0.46681334
## 3   -0.73632907 -1.43235889
## 4   -1.46862347 -0.94958612
## 5    0.72825971  0.74011859
## 6   -0.98042720 -0.70819973
## 7   -1.22452534 -1.43235889
## 8   -0.98042720 -0.46681334
## 9   -0.24813281 -0.22542696
## 10   1.21645598  1.22289137
## 11   0.97235784  0.98150498
## 12  -0.24813281 -0.46681334
## 13   0.24006345  0.25734582
## 14  -0.73632907 -0.70819973
## 15   0.97235784  0.98150498
## 16  -0.73632907 -0.70819973
## 17   1.21645598  1.22289137
## 18  -0.24813281 -0.70819973
## 19  -0.00403468  0.01595943
## 20  -0.73632907 -0.22542696
## 21   1.21645598  1.22289137
## 22  -1.22452534 -1.43235889
## 23  -0.24813281 -0.22542696
## 24  -0.24813281 -0.46681334
## 25   0.48416158  0.25734582
## 26  -0.00403468 -0.22542696
## 27   1.70465224  1.70566414
## 28   1.70465224  1.70566414
## 29   0.97235784  0.49873220
## 30   1.46055411  1.22289137
## 31   0.97235784  0.74011859
## 32  -0.24813281 -0.22542696
## 33   0.72825971  0.74011859
## 34   1.46055411  0.98150498
## 35   1.46055411  1.70566414
## 36  -0.98042720 -0.70819973
## 37  -0.00403468  0.01595943
## 38   0.72825971  0.74011859
## 39   0.24006345  0.25734582
## 40  -1.71272160 -1.67374528
## 41  -1.22452534 -1.19097251
## 42   0.48416158  0.74011859
## 43  -0.73632907 -0.70819973
## 44  -0.49223094 -0.46681334
## 45  -0.98042720 -0.70819973
## 46   0.72825971  0.74011859
## 47  -0.49223094 -0.46681334
## 48  -0.73632907 -0.46681334
## 49   1.21645598  0.49873220
## 50  -1.46862347 -1.67374528
## 51   0.48416158  0.49873220
## 52   0.72825971  0.74011859
## 53  -1.22452534 -1.19097251
## 54  -0.73632907 -0.70819973
## 55   1.70465224  1.70566414
## 56   0.48416158  0.49873220
## 57  -1.71272160 -1.67374528
## 58  -0.24813281  0.01595943
## 59  -0.49223094 -1.19097251
## 60   0.24006345 -0.46681334
## 61  -0.73632907 -0.70819973
## 62   1.70465224  1.70566414
## 63   0.48416158  0.25734582
## 64  -1.22452534 -1.43235889
## 65   1.46055411  1.70566414
## 66   0.72825971  1.22289137
## 67   1.46055411  0.98150498
## 68   1.46055411  1.70566414
## 69   0.97235784  1.22289137
## 70   0.48416158  0.49873220
## 71   0.72825971  0.74011859
## 72   1.21645598  0.74011859
## 73   0.48416158  0.25734582
## 74  -0.73632907 -0.94958612
## 75   0.97235784  1.22289137
## 76   0.48416158  0.49873220
## 77  -0.73632907 -0.22542696
## 78   0.97235784  0.74011859
## 79   0.24006345  0.25734582
## 80  -0.73632907 -0.70819973
## 81  -1.71272160 -1.91513167
## 82  -0.49223094  0.25734582
## 83   0.72825971  0.74011859
## 84  -0.24813281 -0.22542696
## 85   0.24006345  0.25734582
## 86  -0.73632907 -0.70819973
## 87  -1.46862347 -1.19097251
## 88   0.72825971  0.74011859
## 89   1.70465224  1.70566414
## 90   0.72825971  0.49873220
## 91  -1.46862347 -1.43235889
## 92   0.48416158  1.70566414
## 93   0.97235784  0.98150498
## 94  -0.98042720 -0.94958612
## 95   0.97235784  1.22289137
## 96  -0.49223094 -0.46681334
## 97  -0.49223094 -0.22542696
## 98   0.72825971  0.74011859
## 99  -0.24813281 -0.22542696
## 100  0.24006345  0.25734582
## 101  1.21645598  0.74011859
## 102 -1.71272160 -1.91513167
## 103 -0.49223094 -0.46681334
## 104  0.24006345  0.25734582
## 105 -0.73632907 -0.70819973
## 106  1.70465224  1.70566414
## 107 -0.73632907 -0.70819973
## 108  0.72825971  0.25734582
## 109 -0.73632907 -0.70819973
## 110 -1.22452534 -1.67374528
## 111 -1.22452534 -1.19097251
## 112 -1.46862347 -1.43235889
## 113 -1.22452534 -1.19097251
## 114 -0.73632907 -0.94958612
## 115  1.46055411  1.46427775
## 116 -0.24813281 -0.94958612
## 117 -1.22452534 -1.19097251
## 118 -0.00403468  0.01595943
## 119 -2.20091786 -2.15651805
## 120 -0.24813281 -0.22542696
## 121 -1.71272160 -0.22542696
## attr(,"scaled:center")
##   standards discrepancy 
##    21.01653    20.93388 
## attr(,"scaled:scale")
##   standards discrepancy 
##    4.096713    4.142736
library(factoextra)
## Loading required package: ggplot2
## Welcome! Want to learn more? See two factoextra-related books at https://goo.gl/ve3WBa
#calculate distance metrics between oberservations
distance <- dist(d_scaled)
distance
##             1         2         3         4         5         6         7
## 2   2.5785119                                                            
## 3   3.4934043 0.9959227                                                  
## 4   3.6105942 1.0892254 0.8771115                                        
## 5   0.8733511 1.7164738 2.6200532 2.7715335                              
## 6   3.0896528 0.5446127 0.7641926 0.5446127 2.2399190                    
## 7   3.7879933 1.2118306 0.4881963 0.5409745 2.9211347 0.7641926          
## 8   2.9249630 0.4881963 0.9959227 0.6865895 2.0919598 0.2413864 0.9959227
## 9   2.2360953 0.3432948 1.3019294 1.4191561 1.3731790 0.8771115 1.5524262
## 10  0.2413864 2.4030633 3.2960163 3.4538833 0.6865895 2.9249630 3.6067636
## 11  0.5409745 2.0597685 2.9574228 3.1124753 0.3432948 2.5823384 3.2638987
## 12  2.4236611 0.2440981 1.0819491 1.3125041 1.5524262 0.7710528 1.3731790
## 13  1.5524262 1.0298843 1.9515236 2.0919598 0.6865895 1.5562377 2.2360953
## 14  2.9211347 0.3432948 0.7241592 0.7710528 2.0597685 0.2440981 0.8733511
## 15  0.5409745 2.0597685 2.9574228 3.1124753 0.3432948 2.5823384 3.2638987
## 16  2.9211347 0.3432948 0.7241592 0.7710528 2.0597685 0.2440981 0.8733511
## 17  0.2413864 2.4030633 3.2960163 3.4538833 0.6865895 2.9249630 3.6067636
## 18  2.6200532 0.3432948 0.8733511 1.2441322 1.7467021 0.7322944 1.2156269
## 19  1.8939967 0.6865895 1.6229236 1.7542231 1.0298843 1.2156269 1.8939967
## 20  2.5823384 0.3432948 1.2069319 1.0298843 1.7542231 0.5409745 1.3019294
## 21  0.2413864 2.4030633 3.2960163 3.4538833 0.6865895 2.9249630 3.6067636
## 22  3.7879933 1.2118306 0.4881963 0.5409745 2.9211347 0.7641926 0.0000000
## 23  2.2360953 0.3432948 1.3019294 1.4191561 1.3731790 0.8771115 1.5524262
## 24  2.4236611 0.2440981 1.0819491 1.3125041 1.5524262 0.7710528 1.3731790
## 25  1.4117152 1.2156269 2.0843943 2.2956598 0.5409745 1.7542231 2.4030633
## 26  2.0843943 0.5446127 1.4117152 1.6338381 1.2118306 1.0892254 1.7164738
## 27  0.5446127 3.0896528 3.9756230 4.1376361 1.3731790 3.6105942 4.2926996
## 28  0.5446127 3.0896528 3.9756230 4.1376361 1.3731790 3.6105942 4.2926996
## 29  0.9959227 1.7542231 2.5785119 2.8383121 0.3432948 2.2956598 2.9249630
## 30  0.3432948 2.5823384 3.4462515 3.6468808 0.8771115 3.1124753 3.7762423
## 31  0.7641926 1.8978159 2.7639228 2.9687526 0.2440981 2.4312539 3.0896528
## 32  2.2360953 0.3432948 1.3019294 1.4191561 1.3731790 0.8771115 1.5524262
## 33  0.8733511 1.7164738 2.6200532 2.7715335 0.0000000 2.2399190 2.9211347
## 34  0.5409745 2.4312539 3.2638987 3.5084461 0.7710528 2.9687526 3.6105942
## 35  0.3432948 2.9211347 3.8305984 3.9535345 1.2118306 3.4329475 4.1299928
## 36  3.0896528 0.5446127 0.7641926 0.5446127 2.2399190 0.0000000 0.7641926
## 37  1.8939967 0.6865895 1.6229236 1.7542231 1.0298843 1.2156269 1.8939967
## 38  0.8733511 1.7164738 2.6200532 2.7715335 0.0000000 2.2399190 2.9211347
## 39  1.5524262 1.0298843 1.9515236 2.0919598 0.6865895 1.5562377 2.2360953
## 40  4.2926996 1.7164738 1.0057881 0.7641926 3.4329475 1.2118306 0.5446127
## 41  3.6067636 1.0298843 0.5446127 0.3432948 2.7463580 0.5409745 0.2413864
## 42  1.0298843 1.5524262 2.4918378 2.5823384 0.2440981 2.0597685 2.7639228
## 43  2.9211347 0.3432948 0.7241592 0.7710528 2.0597685 0.2440981 0.8733511
## 44  2.5785119 0.0000000 0.9959227 1.0892254 1.7164738 0.5446127 1.2118306
## 45  3.0896528 0.5446127 0.7641926 0.5446127 2.2399190 0.0000000 0.7641926
## 46  0.8733511 1.7164738 2.6200532 2.7715335 0.0000000 2.2399190 2.9211347
## 47  2.5785119 0.0000000 0.9959227 1.0892254 1.7164738 0.5446127 1.2118306
## 48  2.7463580 0.2440981 0.9655455 0.8771115 1.8978159 0.3432948 1.0819491
## 49  0.9655455 1.9626230 2.7463580 3.0507831 0.5446127 2.5065874 3.1124753
## 50  4.1299928 1.5524262 0.7710528 0.7241592 3.2638987 1.0819491 0.3432948
## 51  1.2118306 1.3731790 2.2844497 2.4312539 0.3432948 1.8978159 2.5785119
## 52  0.8733511 1.7164738 2.6200532 2.7715335 0.0000000 2.2399190 2.9211347
## 53  3.6067636 1.0298843 0.5446127 0.3432948 2.7463580 0.5409745 0.2413864
## 54  2.9211347 0.3432948 0.7241592 0.7710528 2.0597685 0.2440981 0.8733511
## 55  0.5446127 3.0896528 3.9756230 4.1376361 1.3731790 3.6105942 4.2926996
## 56  1.2118306 1.3731790 2.2844497 2.4312539 0.3432948 1.8978159 2.5785119
## 57  4.2926996 1.7164738 1.0057881 0.7641926 3.4329475 1.2118306 0.5446127
## 58  2.0597685 0.5409745 1.5283853 1.5562377 1.2156269 1.0298843 1.7467021
## 59  3.1575251 0.7241592 0.3432948 1.0057881 2.2844497 0.6865895 0.7710528
## 60  2.1638981 0.7322944 1.3731790 1.7755789 1.3019294 1.2441322 1.7542231
## 61  2.9211347 0.3432948 0.7241592 0.7710528 2.0597685 0.2440981 0.8733511
## 62  0.5446127 3.0896528 3.9756230 4.1376361 1.3731790 3.6105942 4.2926996
## 63  1.4117152 1.2156269 2.0843943 2.2956598 0.5409745 1.7542231 2.4030633
## 64  3.7879933 1.2118306 0.4881963 0.5409745 2.9211347 0.7641926 0.0000000
## 65  0.3432948 2.9211347 3.8305984 3.9535345 1.2118306 3.4329475 4.1299928
## 66  0.5446127 2.0843943 3.0323875 3.0896528 0.4827728 2.5785119 3.2960163
## 67  0.5409745 2.4312539 3.2638987 3.5084461 0.7710528 2.9687526 3.6105942
## 68  0.3432948 2.9211347 3.8305984 3.9535345 1.2118306 3.4329475 4.1299928
## 69  0.3432948 2.2360953 3.1575251 3.2677283 0.5409745 2.7463580 3.4462515
## 70  1.2118306 1.3731790 2.2844497 2.4312539 0.3432948 1.8978159 2.5785119
## 71  0.8733511 1.7164738 2.6200532 2.7715335 0.0000000 2.2399190 2.9211347
## 72  0.7241592 2.0919598 2.9211347 3.1724996 0.4881963 2.6313346 3.2677283
## 73  1.4117152 1.2156269 2.0843943 2.2956598 0.5409745 1.7542231 2.4030633
## 74  3.1048524 0.5409745 0.4827728 0.7322944 2.2360953 0.3432948 0.6865895
## 75  0.3432948 2.2360953 3.1575251 3.2677283 0.5409745 2.7463580 3.4462515
## 76  1.2118306 1.3731790 2.2844497 2.4312539 0.3432948 1.8978159 2.5785119
## 77  2.5823384 0.3432948 1.2069319 1.0298843 1.7542231 0.5409745 1.3019294
## 78  0.7641926 1.8978159 2.7639228 2.9687526 0.2440981 2.4312539 3.0896528
## 79  1.5524262 1.0298843 1.9515236 2.0919598 0.6865895 1.5562377 2.2360953
## 80  2.9211347 0.3432948 0.7241592 0.7710528 2.0597685 0.2440981 0.8733511
## 81  4.4721907 1.8939967 1.0892254 0.9959227 3.6067636 1.4117152 0.6865895
## 82  2.0919598 0.7241592 1.7072451 1.5524262 1.3125041 1.0819491 1.8415638
## 83  0.8733511 1.7164738 2.6200532 2.7715335 0.0000000 2.2399190 2.9211347
## 84  2.2360953 0.3432948 1.3019294 1.4191561 1.3731790 0.8771115 1.5524262
## 85  1.5524262 1.0298843 1.9515236 2.0919598 0.6865895 1.5562377 2.2360953
## 86  2.9211347 0.3432948 0.7241592 0.7710528 2.0597685 0.2440981 0.8733511
## 87  3.7762423 1.2156269 0.7710528 0.2413864 2.9249630 0.6865895 0.3432948
## 88  0.8733511 1.7164738 2.6200532 2.7715335 0.0000000 2.2399190 2.9211347
## 89  0.5446127 3.0896528 3.9756230 4.1376361 1.3731790 3.6105942 4.2926996
## 90  1.0819491 1.5562377 2.4236611 2.6313346 0.2413864 2.0919598 2.7463580
## 91  3.9497032 1.3731790 0.7322944 0.4827728 3.0896528 0.8733511 0.2440981
## 92  0.7710528 2.3818062 3.3670144 3.2960163 0.9959227 2.8234304 3.5730658
## 93  0.5409745 2.0597685 2.9574228 3.1124753 0.3432948 2.5823384 3.2638987
## 94  3.2638987 0.6865895 0.5409745 0.4881963 2.4030633 0.2413864 0.5409745
## 95  0.3432948 2.2360953 3.1575251 3.2677283 0.5409745 2.7463580 3.4462515
## 96  2.5785119 0.0000000 0.9959227 1.0892254 1.7164738 0.5446127 1.2118306
## 97  2.4030633 0.2413864 1.2313686 1.2156269 1.5562377 0.6865895 1.4117152
## 98  0.8733511 1.7164738 2.6200532 2.7715335 0.0000000 2.2399190 2.9211347
## 99  2.2360953 0.3432948 1.3019294 1.4191561 1.3731790 0.8771115 1.5524262
## 100 1.5524262 1.0298843 1.9515236 2.0919598 0.6865895 1.5562377 2.2360953
## 101 0.7241592 2.0919598 2.9211347 3.1724996 0.4881963 2.6313346 3.2677283
## 102 4.4721907 1.8939967 1.0892254 0.9959227 3.6067636 1.4117152 0.6865895
## 103 2.5785119 0.0000000 0.9959227 1.0892254 1.7164738 0.5446127 1.2118306
## 104 1.5524262 1.0298843 1.9515236 2.0919598 0.6865895 1.5562377 2.2360953
## 105 2.9211347 0.3432948 0.7241592 0.7710528 2.0597685 0.2440981 0.8733511
## 106 0.5446127 3.0896528 3.9756230 4.1376361 1.3731790 3.6105942 4.2926996
## 107 2.9211347 0.3432948 0.7241592 0.7710528 2.0597685 0.2440981 0.8733511
## 108 1.3019294 1.4191561 2.2360953 2.5065874 0.4827728 1.9626230 2.5823384
## 109 2.9211347 0.3432948 0.7241592 0.7710528 2.0597685 0.2440981 0.8733511
## 110 3.9756230 1.4117152 0.5446127 0.7641926 3.1048524 0.9959227 0.2413864
## 111 3.6067636 1.0298843 0.5446127 0.3432948 2.7463580 0.5409745 0.2413864
## 112 3.9497032 1.3731790 0.7322944 0.4827728 3.0896528 0.8733511 0.2440981
## 113 3.6067636 1.0298843 0.5446127 0.3432948 2.7463580 0.5409745 0.2413864
## 114 3.1048524 0.5409745 0.4827728 0.7322944 2.2360953 0.3432948 0.6865895
## 115 0.2440981 2.7463580 3.6354917 3.7956317 1.0298843 3.2677283 3.9497032
## 116 2.8234304 0.5409745 0.6865895 1.2204907 1.9515236 0.7710528 1.0892254
## 117 3.6067636 1.0298843 0.5446127 0.3432948 2.7463580 0.5409745 0.2413864
## 118 1.8939967 0.6865895 1.6229236 1.7542231 1.0298843 1.2156269 1.8939967
## 119 4.9788157 2.4030633 1.6338381 1.4117152 4.1195370 1.8939967 1.2156269
## 120 2.2360953 0.3432948 1.3019294 1.4191561 1.3731790 0.8771115 1.5524262
## 121 3.3815948 1.2441322 1.5524262 0.7641926 2.6250082 0.8771115 1.3019294
##             8         9        10        11        12        13        14
## 2                                                                        
## 3                                                                        
## 4                                                                        
## 5                                                                        
## 6                                                                        
## 7                                                                        
## 8                                                                        
## 9   0.7710528                                                            
## 10  2.7715335 2.0597685                                                  
## 11  2.4312539 1.7164738 0.3432948                                        
## 12  0.7322944 0.2413864 2.2360953 1.8939967                              
## 13  1.4191561 0.6865895 1.3731790 1.0298843 0.8733511                    
## 14  0.3432948 0.6865895 2.7463580 2.4030633 0.5446127 1.3731790          
## 15  2.4312539 1.7164738 0.3432948 0.0000000 1.8939967 1.0298843 2.4030633
## 16  0.3432948 0.6865895 2.7463580 2.4030633 0.5446127 1.3731790 0.0000000
## 17  2.7715335 2.0597685 0.0000000 0.3432948 2.2360953 1.3731790 2.7463580
## 18  0.7710528 0.4827728 2.4236611 2.0843943 0.2413864 1.0819491 0.4881963
## 19  1.0892254 0.3432948 1.7164738 1.3731790 0.5409745 0.3432948 1.0298843
## 20  0.3432948 0.4881963 2.4312539 2.0919598 0.5446127 1.0892254 0.4827728
## 21  2.7715335 2.0597685 0.0000000 0.3432948 2.2360953 1.3731790 2.7463580
## 22  0.9959227 1.5524262 3.6067636 3.2638987 1.3731790 2.2360953 0.8733511
## 23  0.7710528 0.0000000 2.0597685 1.7164738 0.2413864 0.6865895 0.6865895
## 24  0.7322944 0.2413864 2.2360953 1.8939967 0.0000000 0.8733511 0.5446127
## 25  1.6338381 0.8771115 1.2118306 0.8733511 1.0298843 0.2440981 1.5562377
## 26  1.0057881 0.2440981 1.8939967 1.5524262 0.3432948 0.5409745 0.8771115
## 27  3.4538833 2.7463580 0.6865895 1.0298843 2.9211347 2.0597685 3.4329475
## 28  3.4538833 2.7463580 0.6865895 1.0298843 2.9211347 2.0597685 3.4329475
## 29  2.1784507 1.4191561 0.7641926 0.4827728 1.5562377 0.7710528 2.0919598
## 30  2.9687526 2.2399190 0.2440981 0.5446127 2.4030633 1.5562377 2.9249630
## 31  2.2956598 1.5562377 0.5409745 0.2413864 1.7164738 0.8771115 2.2399190
## 32  0.7710528 0.0000000 2.0597685 1.7164738 0.2413864 0.6865895 0.6865895
## 33  2.0919598 1.3731790 0.6865895 0.3432948 1.5524262 0.6865895 2.0597685
## 34  2.8383121 2.0919598 0.3432948 0.4881963 2.2399190 1.4191561 2.7715335
## 35  3.2677283 2.5785119 0.5409745 0.8733511 2.7639228 1.8939967 3.2638987
## 36  0.2413864 0.8771115 2.9249630 2.5823384 0.7710528 1.5562377 0.2440981
## 37  1.0892254 0.3432948 1.7164738 1.3731790 0.5409745 0.3432948 1.0298843
## 38  2.0919598 1.3731790 0.6865895 0.3432948 1.5524262 0.6865895 2.0597685
## 39  1.4191561 0.6865895 1.3731790 1.0298843 0.8733511 0.0000000 1.3731790
## 40  1.4117152 2.0597685 4.1195370 3.7762423 1.8978159 2.7463580 1.3731790
## 41  0.7641926 1.3731790 3.4329475 3.0896528 1.2156269 2.0597685 0.6865895
## 42  1.8978159 1.2118306 0.8771115 0.5446127 1.4117152 0.5409745 1.8939967
## 43  0.3432948 0.6865895 2.7463580 2.4030633 0.5446127 1.3731790 0.0000000
## 44  0.4881963 0.3432948 2.4030633 2.0597685 0.2440981 1.0298843 0.3432948
## 45  0.2413864 0.8771115 2.9249630 2.5823384 0.7710528 1.5562377 0.2440981
## 46  2.0919598 1.3731790 0.6865895 0.3432948 1.5524262 0.6865895 2.0597685
## 47  0.4881963 0.3432948 2.4030633 2.0597685 0.2440981 1.0298843 0.3432948
## 48  0.2440981 0.5446127 2.5823384 2.2399190 0.4881963 1.2156269 0.2413864
## 49  2.3997029 1.6338381 0.7241592 0.5409745 1.7542231 1.0057881 2.2956598
## 50  1.3019294 1.8939967 3.9497032 3.6067636 1.7164738 2.5785119 1.2118306
## 51  1.7542231 1.0298843 1.0298843 0.6865895 1.2118306 0.3432948 1.7164738
## 52  2.0919598 1.3731790 0.6865895 0.3432948 1.5524262 0.6865895 2.0597685
## 53  0.7641926 1.3731790 3.4329475 3.0896528 1.2156269 2.0597685 0.6865895
## 54  0.3432948 0.6865895 2.7463580 2.4030633 0.5446127 1.3731790 0.0000000
## 55  3.4538833 2.7463580 0.6865895 1.0298843 2.9211347 2.0597685 3.4329475
## 56  1.7542231 1.0298843 1.0298843 0.6865895 1.2118306 0.3432948 1.7164738
## 57  1.4117152 2.0597685 4.1195370 3.7762423 1.8978159 2.7463580 1.3731790
## 58  0.8771115 0.2413864 1.8978159 1.5562377 0.4827728 0.5446127 0.8733511
## 59  0.8733511 0.9959227 2.9574228 2.6200532 0.7641926 1.6229236 0.5409745
## 60  1.2204907 0.5446127 1.9515236 1.6229236 0.4881963 0.7241592 1.0057881
## 61  0.3432948 0.6865895 2.7463580 2.4030633 0.5446127 1.3731790 0.0000000
## 62  3.4538833 2.7463580 0.6865895 1.0298843 2.9211347 2.0597685 3.4329475
## 63  1.6338381 0.8771115 1.2118306 0.8733511 1.0298843 0.2440981 1.5562377
## 64  0.9959227 1.5524262 3.6067636 3.2638987 1.3731790 2.2360953 0.8733511
## 65  3.2677283 2.5785119 0.5409745 0.8733511 2.7639228 1.8939967 3.2638987
## 66  2.4030633 1.7467021 0.4881963 0.3432948 1.9515236 1.0819491 2.4236611
## 67  2.8383121 2.0919598 0.3432948 0.4881963 2.2399190 1.4191561 2.7715335
## 68  3.2677283 2.5785119 0.5409745 0.8733511 2.7639228 1.8939967 3.2638987
## 69  2.5823384 1.8939967 0.2440981 0.2413864 2.0843943 1.2118306 2.5785119
## 70  1.7542231 1.0298843 1.0298843 0.6865895 1.2118306 0.3432948 1.7164738
## 71  2.0919598 1.3731790 0.6865895 0.3432948 1.5524262 0.6865895 2.0597685
## 72  2.5065874 1.7542231 0.4827728 0.3432948 1.8978159 1.0892254 2.4312539
## 73  1.6338381 0.8771115 1.2118306 0.8733511 1.0298843 0.2440981 1.5562377
## 74  0.5409745 0.8733511 2.9211347 2.5785119 0.6865895 1.5524262 0.2413864
## 75  2.5823384 1.8939967 0.2440981 0.2413864 2.0843943 1.2118306 2.5785119
## 76  1.7542231 1.0298843 1.0298843 0.6865895 1.2118306 0.3432948 1.7164738
## 77  0.3432948 0.4881963 2.4312539 2.0919598 0.5446127 1.0892254 0.4827728
## 78  2.2956598 1.5562377 0.5409745 0.2413864 1.7164738 0.8771115 2.2399190
## 79  1.4191561 0.6865895 1.3731790 1.0298843 0.8733511 0.0000000 1.3731790
## 80  0.3432948 0.6865895 2.7463580 2.4030633 0.5446127 1.3731790 0.0000000
## 81  1.6229236 2.2360953 4.2926996 3.9497032 2.0597685 2.9211347 1.5524262
## 82  0.8733511 0.5409745 1.9626230 1.6338381 0.7641926 0.7322944 0.9959227
## 83  2.0919598 1.3731790 0.6865895 0.3432948 1.5524262 0.6865895 2.0597685
## 84  0.7710528 0.0000000 2.0597685 1.7164738 0.2413864 0.6865895 0.6865895
## 85  1.4191561 0.6865895 1.3731790 1.0298843 0.8733511 0.0000000 1.3731790
## 86  0.3432948 0.6865895 2.7463580 2.4030633 0.5446127 1.3731790 0.0000000
## 87  0.8733511 1.5562377 3.6105942 3.2677283 1.4191561 2.2399190 0.8771115
## 88  2.0919598 1.3731790 0.6865895 0.3432948 1.5524262 0.6865895 2.0597685
## 89  3.4538833 2.7463580 0.6865895 1.0298843 2.9211347 2.0597685 3.4329475
## 90  1.9626230 1.2156269 0.8733511 0.5409745 1.3731790 0.5446127 1.8978159
## 91  1.0819491 1.7164738 3.7762423 3.4329475 1.5562377 2.4030633 1.0298843
## 92  2.6200532 2.0652767 0.8771115 0.8733511 2.2925779 1.4687443 2.7048727
## 93  2.4312539 1.7164738 0.3432948 0.0000000 1.8939967 1.0298843 2.4030633
## 94  0.4827728 1.0298843 3.0896528 2.7463580 0.8771115 1.7164738 0.3432948
## 95  2.5823384 1.8939967 0.2440981 0.2413864 2.0843943 1.2118306 2.5785119
## 96  0.4881963 0.3432948 2.4030633 2.0597685 0.2440981 1.0298843 0.3432948
## 97  0.5446127 0.2440981 2.2399190 1.8978159 0.3432948 0.8771115 0.5409745
## 98  2.0919598 1.3731790 0.6865895 0.3432948 1.5524262 0.6865895 2.0597685
## 99  0.7710528 0.0000000 2.0597685 1.7164738 0.2413864 0.6865895 0.6865895
## 100 1.4191561 0.6865895 1.3731790 1.0298843 0.8733511 0.0000000 1.3731790
## 101 2.5065874 1.7542231 0.4827728 0.3432948 1.8978159 1.0892254 2.4312539
## 102 1.6229236 2.2360953 4.2926996 3.9497032 2.0597685 2.9211347 1.5524262
## 103 0.4881963 0.3432948 2.4030633 2.0597685 0.2440981 1.0298843 0.3432948
## 104 1.4191561 0.6865895 1.3731790 1.0298843 0.8733511 0.0000000 1.3731790
## 105 0.3432948 0.6865895 2.7463580 2.4030633 0.5446127 1.3731790 0.0000000
## 106 3.4538833 2.7463580 0.6865895 1.0298843 2.9211347 2.0597685 3.4329475
## 107 0.3432948 0.6865895 2.7463580 2.4030633 0.5446127 1.3731790 0.0000000
## 108 1.8558064 1.0892254 1.0819491 0.7641926 1.2156269 0.4881963 1.7542231
## 109 0.3432948 0.6865895 2.7463580 2.4030633 0.5446127 1.3731790 0.0000000
## 110 1.2313686 1.7467021 3.7879933 3.4462515 1.5524262 2.4236611 1.0819491
## 111 0.7641926 1.3731790 3.4329475 3.0896528 1.2156269 2.0597685 0.6865895
## 112 1.0819491 1.7164738 3.7762423 3.4329475 1.5562377 2.4030633 1.0298843
## 113 0.7641926 1.3731790 3.4329475 3.0896528 1.2156269 2.0597685 0.6865895
## 114 0.5409745 0.8733511 2.9211347 2.5785119 0.6865895 1.5524262 0.2413864
## 115 3.1124753 2.4030633 0.3432948 0.6865895 2.5785119 1.7164738 3.0896528
## 116 0.8771115 0.7241592 2.6200532 2.2844497 0.4827728 1.3019294 0.5446127
## 117 0.7641926 1.3731790 3.4329475 3.0896528 1.2156269 2.0597685 0.6865895
## 118 1.0892254 0.3432948 1.7164738 1.3731790 0.5409745 0.3432948 1.0298843
## 119 2.0843943 2.7463580 4.8061265 4.4628318 2.5823384 3.4329475 2.0597685
## 120 0.7710528 0.0000000 2.0597685 1.7164738 0.2413864 0.6865895 0.6865895
## 121 0.7710528 1.4645888 3.2676761 2.9438642 1.4843476 2.0115762 1.0892254
##            15        16        17        18        19        20        21
## 2                                                                        
## 3                                                                        
## 4                                                                        
## 5                                                                        
## 6                                                                        
## 7                                                                        
## 8                                                                        
## 9                                                                        
## 10                                                                       
## 11                                                                       
## 12                                                                       
## 13                                                                       
## 14                                                                       
## 15                                                                       
## 16  2.4030633                                                            
## 17  0.3432948 2.7463580                                                  
## 18  2.0843943 0.4881963 2.4236611                                        
## 19  1.3731790 1.0298843 1.7164738 0.7641926                              
## 20  2.0919598 0.4827728 2.4312539 0.6865895 0.7710528                    
## 21  0.3432948 2.7463580 0.0000000 2.4236611 1.7164738 2.4312539          
## 22  3.2638987 0.8733511 3.6067636 1.2156269 1.8939967 1.3019294 3.6067636
## 23  1.7164738 0.6865895 2.0597685 0.4827728 0.3432948 0.4881963 2.0597685
## 24  1.8939967 0.5446127 2.2360953 0.2413864 0.5409745 0.5446127 2.2360953
## 25  0.8733511 1.5562377 1.2118306 1.2118306 0.5446127 1.3125041 1.2118306
## 26  1.5524262 0.8771115 1.8939967 0.5409745 0.2413864 0.7322944 1.8939967
## 27  1.0298843 3.4329475 0.6865895 3.1048524 2.4030633 3.1124753 0.6865895
## 28  1.0298843 3.4329475 0.6865895 3.1048524 2.4030633 3.1124753 0.6865895
## 29  0.4827728 2.0919598 0.7641926 1.7164738 1.0892254 1.8558064 0.7641926
## 30  0.5446127 2.9249630 0.2440981 2.5785119 1.8978159 2.6313346 0.2440981
## 31  0.2413864 2.2399190 0.5409745 1.8939967 1.2156269 1.9626230 0.5409745
## 32  1.7164738 0.6865895 2.0597685 0.4827728 0.3432948 0.4881963 2.0597685
## 33  0.3432948 2.0597685 0.6865895 1.7467021 1.0298843 1.7542231 0.6865895
## 34  0.4881963 2.7715335 0.3432948 2.4030633 1.7542231 2.5065874 0.3432948
## 35  0.8733511 3.2638987 0.5409745 2.9574228 2.2360953 2.9249630 0.5409745
## 36  2.5823384 0.2440981 2.9249630 0.7322944 1.2156269 0.5409745 2.9249630
## 37  1.3731790 1.0298843 1.7164738 0.7641926 0.0000000 0.7710528 1.7164738
## 38  0.3432948 2.0597685 0.6865895 1.7467021 1.0298843 1.7542231 0.6865895
## 39  1.0298843 1.3731790 1.3731790 1.0819491 0.3432948 1.0892254 1.3731790
## 40  3.7762423 1.3731790 4.1195370 1.7542231 2.4030633 1.7467021 4.1195370
## 41  3.0896528 0.6865895 3.4329475 1.0892254 1.7164738 1.0819491 3.4329475
## 42  0.5446127 1.8939967 0.8771115 1.6229236 0.8733511 1.5562377 0.8771115
## 43  2.4030633 0.0000000 2.7463580 0.4881963 1.0298843 0.4827728 2.7463580
## 44  2.0597685 0.3432948 2.4030633 0.3432948 0.6865895 0.3432948 2.4030633
## 45  2.5823384 0.2440981 2.9249630 0.7322944 1.2156269 0.5409745 2.9249630
## 46  0.3432948 2.0597685 0.6865895 1.7467021 1.0298843 1.7542231 0.6865895
## 47  2.0597685 0.3432948 2.4030633 0.3432948 0.6865895 0.3432948 2.4030633
## 48  2.2399190 0.2413864 2.5823384 0.5446127 0.8771115 0.2413864 2.5823384
## 49  0.5409745 2.2956598 0.7241592 1.8978159 1.3125041 2.0827328 0.7241592
## 50  3.6067636 1.2118306 3.9497032 1.5562377 2.2360953 1.6229236 3.9497032
## 51  0.6865895 1.7164738 1.0298843 1.4117152 0.6865895 1.4191561 1.0298843
## 52  0.3432948 2.0597685 0.6865895 1.7467021 1.0298843 1.7542231 0.6865895
## 53  3.0896528 0.6865895 3.4329475 1.0892254 1.7164738 1.0819491 3.4329475
## 54  2.4030633 0.0000000 2.7463580 0.4881963 1.0298843 0.4827728 2.7463580
## 55  1.0298843 3.4329475 0.6865895 3.1048524 2.4030633 3.1124753 0.6865895
## 56  0.6865895 1.7164738 1.0298843 1.4117152 0.6865895 1.4191561 1.0298843
## 57  3.7762423 1.3731790 4.1195370 1.7542231 2.4030633 1.7467021 4.1195370
## 58  1.5562377 0.8733511 1.8978159 0.7241592 0.2440981 0.5446127 1.8978159
## 59  2.6200532 0.5409745 2.9574228 0.5409745 1.3019294 0.9959227 2.9574228
## 60  1.6229236 1.0057881 1.9515236 0.5446127 0.5409745 1.0057881 1.9515236
## 61  2.4030633 0.0000000 2.7463580 0.4881963 1.0298843 0.4827728 2.7463580
## 62  1.0298843 3.4329475 0.6865895 3.1048524 2.4030633 3.1124753 0.6865895
## 63  0.8733511 1.5562377 1.2118306 1.2118306 0.5446127 1.3125041 1.2118306
## 64  3.2638987 0.8733511 3.6067636 1.2156269 1.8939967 1.3019294 3.6067636
## 65  0.8733511 3.2638987 0.5409745 2.9574228 2.2360953 2.9249630 0.5409745
## 66  0.3432948 2.4236611 0.4881963 2.1638981 1.4117152 2.0597685 0.4881963
## 67  0.4881963 2.7715335 0.3432948 2.4030633 1.7542231 2.5065874 0.3432948
## 68  0.8733511 3.2638987 0.5409745 2.9574228 2.2360953 2.9249630 0.5409745
## 69  0.2413864 2.5785119 0.2440981 2.2844497 1.5524262 2.2399190 0.2440981
## 70  0.6865895 1.7164738 1.0298843 1.4117152 0.6865895 1.4191561 1.0298843
## 71  0.3432948 2.0597685 0.6865895 1.7467021 1.0298843 1.7542231 0.6865895
## 72  0.3432948 2.4312539 0.4827728 2.0597685 1.4191561 2.1784507 0.4827728
## 73  0.8733511 1.5562377 1.2118306 1.2118306 0.5446127 1.3125041 1.2118306
## 74  2.5785119 0.2413864 2.9211347 0.5446127 1.2118306 0.7241592 2.9211347
## 75  0.2413864 2.5785119 0.2440981 2.2844497 1.5524262 2.2399190 0.2440981
## 76  0.6865895 1.7164738 1.0298843 1.4117152 0.6865895 1.4191561 1.0298843
## 77  2.0919598 0.4827728 2.4312539 0.6865895 0.7710528 0.0000000 2.4312539
## 78  0.2413864 2.2399190 0.5409745 1.8939967 1.2156269 1.9626230 0.5409745
## 79  1.0298843 1.3731790 1.3731790 1.0819491 0.3432948 1.0892254 1.3731790
## 80  2.4030633 0.0000000 2.7463580 0.4881963 1.0298843 0.4827728 2.7463580
## 81  3.9497032 1.5524262 4.2926996 1.8978159 2.5785119 1.9515236 4.2926996
## 82  1.6338381 0.9959227 1.9626230 0.9959227 0.5446127 0.5409745 1.9626230
## 83  0.3432948 2.0597685 0.6865895 1.7467021 1.0298843 1.7542231 0.6865895
## 84  1.7164738 0.6865895 2.0597685 0.4827728 0.3432948 0.4881963 2.0597685
## 85  1.0298843 1.3731790 1.3731790 1.0819491 0.3432948 1.0892254 1.3731790
## 86  2.4030633 0.0000000 2.7463580 0.4881963 1.0298843 0.4827728 2.7463580
## 87  3.2677283 0.8771115 3.6105942 1.3125041 1.8978159 1.2118306 3.6105942
## 88  0.3432948 2.0597685 0.6865895 1.7467021 1.0298843 1.7542231 0.6865895
## 89  1.0298843 3.4329475 0.6865895 3.1048524 2.4030633 3.1124753 0.6865895
## 90  0.5409745 1.8978159 0.8733511 1.5524262 0.8771115 1.6338381 0.8733511
## 91  3.4329475 1.0298843 3.7762423 1.4191561 2.0597685 1.4117152 3.7762423
## 92  0.8733511 2.7048727 0.8771115 2.5224975 1.7588171 2.2844497 0.8771115
## 93  0.0000000 2.4030633 0.3432948 2.0843943 1.3731790 2.0919598 0.3432948
## 94  2.7463580 0.3432948 3.0896528 0.7710528 1.3731790 0.7641926 3.0896528
## 95  0.2413864 2.5785119 0.2440981 2.2844497 1.5524262 2.2399190 0.2440981
## 96  2.0597685 0.3432948 2.4030633 0.3432948 0.6865895 0.3432948 2.4030633
## 97  1.8978159 0.5409745 2.2399190 0.5409745 0.5446127 0.2440981 2.2399190
## 98  0.3432948 2.0597685 0.6865895 1.7467021 1.0298843 1.7542231 0.6865895
## 99  1.7164738 0.6865895 2.0597685 0.4827728 0.3432948 0.4881963 2.0597685
## 100 1.0298843 1.3731790 1.3731790 1.0819491 0.3432948 1.0892254 1.3731790
## 101 0.3432948 2.4312539 0.4827728 2.0597685 1.4191561 2.1784507 0.4827728
## 102 3.9497032 1.5524262 4.2926996 1.8978159 2.5785119 1.9515236 4.2926996
## 103 2.0597685 0.3432948 2.4030633 0.3432948 0.6865895 0.3432948 2.4030633
## 104 1.0298843 1.3731790 1.3731790 1.0819491 0.3432948 1.0892254 1.3731790
## 105 2.4030633 0.0000000 2.7463580 0.4881963 1.0298843 0.4827728 2.7463580
## 106 1.0298843 3.4329475 0.6865895 3.1048524 2.4030633 3.1124753 0.6865895
## 107 2.4030633 0.0000000 2.7463580 0.4881963 1.0298843 0.4827728 2.7463580
## 108 0.7641926 1.7542231 1.0819491 1.3731790 0.7710528 1.5421057 1.0819491
## 109 2.4030633 0.0000000 2.7463580 0.4881963 1.0298843 0.4827728 2.7463580
## 110 3.4462515 1.0819491 3.7879933 1.3731790 2.0843943 1.5283853 3.7879933
## 111 3.0896528 0.6865895 3.4329475 1.0892254 1.7164738 1.0819491 3.4329475
## 112 3.4329475 1.0298843 3.7762423 1.4191561 2.0597685 1.4117152 3.7762423
## 113 3.0896528 0.6865895 3.4329475 1.0892254 1.7164738 1.0819491 3.4329475
## 114 2.5785119 0.2413864 2.9211347 0.5446127 1.2118306 0.7241592 2.9211347
## 115 0.6865895 3.0896528 0.3432948 2.7639228 2.0597685 2.7715335 0.3432948
## 116 2.2844497 0.5446127 2.6200532 0.2413864 0.9959227 0.8733511 2.6200532
## 117 3.0896528 0.6865895 3.4329475 1.0892254 1.7164738 1.0819491 3.4329475
## 118 1.3731790 1.0298843 1.7164738 0.7641926 0.0000000 0.7710528 1.7164738
## 119 4.4628318 2.0597685 4.8061265 2.4312539 3.0896528 2.4236611 4.8061265
## 120 1.7164738 0.6865895 2.0597685 0.4827728 0.3432948 0.4881963 2.0597685
## 121 2.9438642 1.0892254 3.2676761 1.5421057 1.7256530 0.9763925 3.2676761
##            22        23        24        25        26        27        28
## 2                                                                        
## 3                                                                        
## 4                                                                        
## 5                                                                        
## 6                                                                        
## 7                                                                        
## 8                                                                        
## 9                                                                        
## 10                                                                       
## 11                                                                       
## 12                                                                       
## 13                                                                       
## 14                                                                       
## 15                                                                       
## 16                                                                       
## 17                                                                       
## 18                                                                       
## 19                                                                       
## 20                                                                       
## 21                                                                       
## 22                                                                       
## 23  1.5524262                                                            
## 24  1.3731790 0.2413864                                                  
## 25  2.4030633 0.8771115 1.0298843                                        
## 26  1.7164738 0.2440981 0.3432948 0.6865895                              
## 27  4.2926996 2.7463580 2.9211347 1.8939967 2.5785119                    
## 28  4.2926996 2.7463580 2.9211347 1.8939967 2.5785119 0.0000000          
## 29  2.9249630 1.4191561 1.5562377 0.5446127 1.2156269 1.4117152 1.4117152
## 30  3.7762423 2.2399190 2.4030633 1.3731790 2.0597685 0.5409745 0.5409745
## 31  3.0896528 1.5562377 1.7164738 0.6865895 1.3731790 1.2118306 1.2118306
## 32  1.5524262 0.0000000 0.2413864 0.8771115 0.2440981 2.7463580 2.7463580
## 33  2.9211347 1.3731790 1.5524262 0.5409745 1.2118306 1.3731790 1.3731790
## 34  3.6105942 2.0919598 2.2399190 1.2156269 1.8978159 0.7641926 0.7641926
## 35  4.1299928 2.5785119 2.7639228 1.7467021 2.4236611 0.2440981 0.2440981
## 36  0.7641926 0.8771115 0.7710528 1.7542231 1.0892254 3.6105942 3.6105942
## 37  1.8939967 0.3432948 0.5409745 0.5446127 0.2413864 2.4030633 2.4030633
## 38  2.9211347 1.3731790 1.5524262 0.5409745 1.2118306 1.3731790 1.3731790
## 39  2.2360953 0.6865895 0.8733511 0.2440981 0.5409745 2.0597685 2.0597685
## 40  0.5446127 2.0597685 1.8978159 2.9249630 2.2399190 4.8061265 4.8061265
## 41  0.2413864 1.3731790 1.2156269 2.2399190 1.5562377 4.1195370 4.1195370
## 42  2.7639228 1.2118306 1.4117152 0.4827728 1.0819491 1.5562377 1.5562377
## 43  0.8733511 0.6865895 0.5446127 1.5562377 0.8771115 3.4329475 3.4329475
## 44  1.2118306 0.3432948 0.2440981 1.2156269 0.5446127 3.0896528 3.0896528
## 45  0.7641926 0.8771115 0.7710528 1.7542231 1.0892254 3.6105942 3.6105942
## 46  2.9211347 1.3731790 1.5524262 0.5409745 1.2118306 1.3731790 1.3731790
## 47  1.2118306 0.3432948 0.2440981 1.2156269 0.5446127 3.0896528 3.0896528
## 48  1.0819491 0.5446127 0.4881963 1.4191561 0.7710528 3.2677283 3.2677283
## 49  3.1124753 1.6338381 1.7542231 0.7710528 1.4191561 1.3019294 1.3019294
## 50  0.3432948 1.8939967 1.7164738 2.7463580 2.0597685 4.6357401 4.6357401
## 51  2.5785119 1.0298843 1.2118306 0.2413864 0.8733511 1.7164738 1.7164738
## 52  2.9211347 1.3731790 1.5524262 0.5409745 1.2118306 1.3731790 1.3731790
## 53  0.2413864 1.3731790 1.2156269 2.2399190 1.5562377 4.1195370 4.1195370
## 54  0.8733511 0.6865895 0.5446127 1.5562377 0.8771115 3.4329475 3.4329475
## 55  4.2926996 2.7463580 2.9211347 1.8939967 2.5785119 0.0000000 0.0000000
## 56  2.5785119 1.0298843 1.2118306 0.2413864 0.8733511 1.7164738 1.7164738
## 57  0.5446127 2.0597685 1.8978159 2.9249630 2.2399190 4.8061265 4.8061265
## 58  1.7467021 0.2413864 0.4827728 0.7710528 0.3432948 2.5823384 2.5823384
## 59  0.7710528 0.9959227 0.7641926 1.7467021 1.0819491 3.6354917 3.6354917
## 60  1.7542231 0.5446127 0.4881963 0.7641926 0.3432948 2.6200532 2.6200532
## 61  0.8733511 0.6865895 0.5446127 1.5562377 0.8771115 3.4329475 3.4329475
## 62  4.2926996 2.7463580 2.9211347 1.8939967 2.5785119 0.0000000 0.0000000
## 63  2.4030633 0.8771115 1.0298843 0.0000000 0.6865895 1.8939967 1.8939967
## 64  0.0000000 1.5524262 1.3731790 2.4030633 1.7164738 4.2926996 4.2926996
## 65  4.1299928 2.5785119 2.7639228 1.7467021 2.4236611 0.2440981 0.2440981
## 66  3.2960163 1.7467021 1.9515236 0.9959227 1.6229236 1.0892254 1.0892254
## 67  3.6105942 2.0919598 2.2399190 1.2156269 1.8978159 0.7641926 0.7641926
## 68  4.1299928 2.5785119 2.7639228 1.7467021 2.4236611 0.2440981 0.2440981
## 69  3.4462515 1.8939967 2.0843943 1.0819491 1.7467021 0.8771115 0.8771115
## 70  2.5785119 1.0298843 1.2118306 0.2413864 0.8733511 1.7164738 1.7164738
## 71  2.9211347 1.3731790 1.5524262 0.5409745 1.2118306 1.3731790 1.3731790
## 72  3.2677283 1.7542231 1.8978159 0.8771115 1.5562377 1.0819491 1.0819491
## 73  2.4030633 0.8771115 1.0298843 0.0000000 0.6865895 1.8939967 1.8939967
## 74  0.6865895 0.8733511 0.6865895 1.7164738 1.0298843 3.6067636 3.6067636
## 75  3.4462515 1.8939967 2.0843943 1.0819491 1.7467021 0.8771115 0.8771115
## 76  2.5785119 1.0298843 1.2118306 0.2413864 0.8733511 1.7164738 1.7164738
## 77  1.3019294 0.4881963 0.5446127 1.3125041 0.7322944 3.1124753 3.1124753
## 78  3.0896528 1.5562377 1.7164738 0.6865895 1.3731790 1.2118306 1.2118306
## 79  2.2360953 0.6865895 0.8733511 0.2440981 0.5409745 2.0597685 2.0597685
## 80  0.8733511 0.6865895 0.5446127 1.5562377 0.8771115 3.4329475 3.4329475
## 81  0.6865895 2.2360953 2.0597685 3.0896528 2.4030633 4.9788157 4.9788157
## 82  1.8415638 0.5409745 0.7641926 0.9763925 0.6865895 2.6313346 2.6313346
## 83  2.9211347 1.3731790 1.5524262 0.5409745 1.2118306 1.3731790 1.3731790
## 84  1.5524262 0.0000000 0.2413864 0.8771115 0.2440981 2.7463580 2.7463580
## 85  2.2360953 0.6865895 0.8733511 0.2440981 0.5409745 2.0597685 2.0597685
## 86  0.8733511 0.6865895 0.5446127 1.5562377 0.8771115 3.4329475 3.4329475
## 87  0.3432948 1.5562377 1.4191561 2.4312539 1.7542231 4.2965315 4.2965315
## 88  2.9211347 1.3731790 1.5524262 0.5409745 1.2118306 1.3731790 1.3731790
## 89  4.2926996 2.7463580 2.9211347 1.8939967 2.5785119 0.0000000 0.0000000
## 90  2.7463580 1.2156269 1.3731790 0.3432948 1.0298843 1.5524262 1.5524262
## 91  0.2440981 1.7164738 1.5562377 2.5823384 1.8978159 4.4628318 4.4628318
## 92  3.5730658 2.0652767 2.2925779 1.4483183 1.9918455 1.2204907 1.2204907
## 93  3.2638987 1.7164738 1.8939967 0.8733511 1.5524262 1.0298843 1.0298843
## 94  0.5409745 1.0298843 0.8771115 1.8978159 1.2156269 3.7762423 3.7762423
## 95  3.4462515 1.8939967 2.0843943 1.0819491 1.7467021 0.8771115 0.8771115
## 96  1.2118306 0.3432948 0.2440981 1.2156269 0.5446127 3.0896528 3.0896528
## 97  1.4117152 0.2440981 0.3432948 1.0892254 0.4881963 2.9249630 2.9249630
## 98  2.9211347 1.3731790 1.5524262 0.5409745 1.2118306 1.3731790 1.3731790
## 99  1.5524262 0.0000000 0.2413864 0.8771115 0.2440981 2.7463580 2.7463580
## 100 2.2360953 0.6865895 0.8733511 0.2440981 0.5409745 2.0597685 2.0597685
## 101 3.2677283 1.7542231 1.8978159 0.8771115 1.5562377 1.0819491 1.0819491
## 102 0.6865895 2.2360953 2.0597685 3.0896528 2.4030633 4.9788157 4.9788157
## 103 1.2118306 0.3432948 0.2440981 1.2156269 0.5446127 3.0896528 3.0896528
## 104 2.2360953 0.6865895 0.8733511 0.2440981 0.5409745 2.0597685 2.0597685
## 105 0.8733511 0.6865895 0.5446127 1.5562377 0.8771115 3.4329475 3.4329475
## 106 4.2926996 2.7463580 2.9211347 1.8939967 2.5785119 0.0000000 0.0000000
## 107 0.8733511 0.6865895 0.5446127 1.5562377 0.8771115 3.4329475 3.4329475
## 108 2.5823384 1.0892254 1.2156269 0.2440981 0.8771115 1.7467021 1.7467021
## 109 0.8733511 0.6865895 0.5446127 1.5562377 0.8771115 3.4329475 3.4329475
## 110 0.2413864 1.7467021 1.5524262 2.5785119 1.8939967 4.4721907 4.4721907
## 111 0.2413864 1.3731790 1.2156269 2.2399190 1.5562377 4.1195370 4.1195370
## 112 0.2440981 1.7164738 1.5562377 2.5823384 1.8978159 4.4628318 4.4628318
## 113 0.2413864 1.3731790 1.2156269 2.2399190 1.5562377 4.1195370 4.1195370
## 114 0.6865895 0.8733511 0.6865895 1.7164738 1.0298843 3.6067636 3.6067636
## 115 3.9497032 2.4030633 2.5785119 1.5524262 2.2360953 0.3432948 0.3432948
## 116 1.0892254 0.7241592 0.4827728 1.4117152 0.7641926 3.2960163 3.2960163
## 117 0.2413864 1.3731790 1.2156269 2.2399190 1.5562377 4.1195370 4.1195370
## 118 1.8939967 0.3432948 0.5409745 0.5446127 0.2413864 2.4030633 2.4030633
## 119 1.2156269 2.7463580 2.5823384 3.6105942 2.9249630 5.4927160 5.4927160
## 120 1.5524262 0.0000000 0.2413864 0.8771115 0.2440981 2.7463580 2.7463580
## 121 1.3019294 1.4645888 1.4843476 2.2493033 1.7086869 3.9252461 3.9252461
##            29        30        31        32        33        34        35
## 2                                                                        
## 3                                                                        
## 4                                                                        
## 5                                                                        
## 6                                                                        
## 7                                                                        
## 8                                                                        
## 9                                                                        
## 10                                                                       
## 11                                                                       
## 12                                                                       
## 13                                                                       
## 14                                                                       
## 15                                                                       
## 16                                                                       
## 17                                                                       
## 18                                                                       
## 19                                                                       
## 20                                                                       
## 21                                                                       
## 22                                                                       
## 23                                                                       
## 24                                                                       
## 25                                                                       
## 26                                                                       
## 27                                                                       
## 28                                                                       
## 29                                                                       
## 30  0.8733511                                                            
## 31  0.2413864 0.6865895                                                  
## 32  1.4191561 2.2399190 1.5562377                                        
## 33  0.3432948 0.8771115 0.2440981 1.3731790                              
## 34  0.6865895 0.2413864 0.5446127 2.0919598 0.7710528                    
## 35  1.3019294 0.4827728 1.0819491 2.5785119 1.2118306 0.7241592          
## 36  2.2956598 3.1124753 2.4312539 0.8771115 2.2399190 2.9687526 3.4329475
## 37  1.0892254 1.8978159 1.2156269 0.3432948 1.0298843 1.7542231 2.2360953
## 38  0.3432948 0.8771115 0.2440981 1.3731790 0.0000000 0.7710528 1.2118306
## 39  0.7710528 1.5562377 0.8771115 0.6865895 0.6865895 1.4191561 1.8939967
## 40  3.4538833 4.2965315 3.6105942 2.0597685 3.4329475 4.1376361 4.6357401
## 41  2.7715335 3.6105942 2.9249630 1.3731790 2.7463580 3.4538833 3.9497032
## 42  0.5446127 1.0892254 0.4881963 1.2118306 0.2440981 1.0057881 1.3731790
## 43  2.0919598 2.9249630 2.2399190 0.6865895 2.0597685 2.7715335 3.2638987
## 44  1.7542231 2.5823384 1.8978159 0.3432948 1.7164738 2.4312539 2.9211347
## 45  2.2956598 3.1124753 2.4312539 0.8771115 2.2399190 2.9687526 3.4329475
## 46  0.3432948 0.8771115 0.2440981 1.3731790 0.0000000 0.7710528 1.2118306
## 47  1.7542231 2.5823384 1.8978159 0.3432948 1.7164738 2.4312539 2.9211347
## 48  1.9626230 2.7715335 2.0919598 0.5446127 1.8978159 2.6313346 3.0896528
## 49  0.2440981 0.7641926 0.3432948 1.6338381 0.5446127 0.5409745 1.2313686
## 50  3.2677283 4.1195370 3.4329475 1.8939967 3.2638987 3.9535345 4.4721907
## 51  0.4881963 1.2156269 0.5446127 1.0298843 0.3432948 1.0892254 1.5524262
## 52  0.3432948 0.8771115 0.2440981 1.3731790 0.0000000 0.7710528 1.2118306
## 53  2.7715335 3.6105942 2.9249630 1.3731790 2.7463580 3.4538833 3.9497032
## 54  2.0919598 2.9249630 2.2399190 0.6865895 2.0597685 2.7715335 3.2638987
## 55  1.4117152 0.5409745 1.2118306 2.7463580 1.3731790 0.7641926 0.2440981
## 56  0.4881963 1.2156269 0.5446127 1.0298843 0.3432948 1.0892254 1.5524262
## 57  3.4538833 4.2965315 3.6105942 2.0597685 3.4329475 4.1376361 4.6357401
## 58  1.3125041 2.0919598 1.4191561 0.2413864 1.2156269 1.9626230 2.4030633
## 59  2.2360953 3.1048524 2.4236611 0.9959227 2.2844497 2.9211347 3.4934043
## 60  1.2118306 2.0843943 1.4117152 0.5446127 1.3019294 1.8939967 2.4918378
## 61  2.0919598 2.9249630 2.2399190 0.6865895 2.0597685 2.7715335 3.2638987
## 62  1.4117152 0.5409745 1.2118306 2.7463580 1.3731790 0.7641926 0.2440981
## 63  0.5446127 1.3731790 0.6865895 0.8771115 0.5409745 1.2156269 1.7467021
## 64  2.9249630 3.7762423 3.0896528 1.5524262 2.9211347 3.6105942 4.1299928
## 65  1.3019294 0.4827728 1.0819491 2.5785119 1.2118306 0.7241592 0.0000000
## 66  0.7641926 0.7322944 0.5409745 1.7467021 0.4827728 0.7710528 0.8771115
## 67  0.6865895 0.2413864 0.5446127 2.0919598 0.7710528 0.0000000 0.7241592
## 68  1.3019294 0.4827728 1.0819491 2.5785119 1.2118306 0.7241592 0.0000000
## 69  0.7241592 0.4881963 0.4827728 1.8939967 0.5409745 0.5446127 0.6865895
## 70  0.4881963 1.2156269 0.5446127 1.0298843 0.3432948 1.0892254 1.5524262
## 71  0.3432948 0.8771115 0.2440981 1.3731790 0.0000000 0.7710528 1.2118306
## 72  0.3432948 0.5409745 0.2440981 1.7542231 0.4881963 0.3432948 0.9959227
## 73  0.5446127 1.3731790 0.6865895 0.8771115 0.5409745 1.2156269 1.7467021
## 74  2.2399190 3.0896528 2.4030633 0.8733511 2.2360953 2.9249630 3.4462515
## 75  0.7241592 0.4881963 0.4827728 1.8939967 0.5409745 0.5446127 0.6865895
## 76  0.4881963 1.2156269 0.5446127 1.0298843 0.3432948 1.0892254 1.5524262
## 77  1.8558064 2.6313346 1.9626230 0.4881963 1.7542231 2.5065874 2.9249630
## 78  0.2413864 0.6865895 0.0000000 1.5562377 0.2440981 0.5446127 1.0819491
## 79  0.7710528 1.5562377 0.8771115 0.6865895 0.6865895 1.4191561 1.8939967
## 80  2.0919598 2.9249630 2.2399190 0.6865895 2.0597685 2.7715335 3.2638987
## 81  3.6105942 4.4628318 3.7762423 2.2360953 3.6067636 4.2965315 4.8145447
## 82  1.4843476 2.1784507 1.5421057 0.5409745 1.3125041 2.0827328 2.4312539
## 83  0.3432948 0.8771115 0.2440981 1.3731790 0.0000000 0.7710528 1.2118306
## 84  1.4191561 2.2399190 1.5562377 0.0000000 1.3731790 2.0919598 2.5785119
## 85  0.7710528 1.5562377 0.8771115 0.6865895 0.6865895 1.4191561 1.8939967
## 86  2.0919598 2.9249630 2.2399190 0.6865895 2.0597685 2.7715335 3.2638987
## 87  2.9687526 3.7956317 3.1124753 1.5562377 2.9249630 3.6468808 4.1195370
## 88  0.3432948 0.8771115 0.2440981 1.3731790 0.0000000 0.7710528 1.2118306
## 89  1.4117152 0.5409745 1.2118306 2.7463580 1.3731790 0.7641926 0.2440981
## 90  0.2440981 1.0298843 0.3432948 1.2156269 0.2413864 0.8771115 1.4117152
## 91  3.1124753 3.9535345 3.2677283 1.7164738 3.0896528 3.7956317 4.2926996
## 92  1.3019294 1.0892254 1.0819491 2.0652767 0.9959227 1.2156269 0.9763925
## 93  0.4827728 0.5446127 0.2413864 1.7164738 0.3432948 0.4881963 0.8733511
## 94  2.4312539 3.2677283 2.5823384 1.0298843 2.4030633 3.1124753 3.6067636
## 95  0.7241592 0.4881963 0.4827728 1.8939967 0.5409745 0.5446127 0.6865895
## 96  1.7542231 2.5823384 1.8978159 0.3432948 1.7164738 2.4312539 2.9211347
## 97  1.6338381 2.4312539 1.7542231 0.2440981 1.5562377 2.2956598 2.7463580
## 98  0.3432948 0.8771115 0.2440981 1.3731790 0.0000000 0.7710528 1.2118306
## 99  1.4191561 2.2399190 1.5562377 0.0000000 1.3731790 2.0919598 2.5785119
## 100 0.7710528 1.5562377 0.8771115 0.6865895 0.6865895 1.4191561 1.8939967
## 101 0.3432948 0.5409745 0.2440981 1.7542231 0.4881963 0.3432948 0.9959227
## 102 3.6105942 4.4628318 3.7762423 2.2360953 3.6067636 4.2965315 4.8145447
## 103 1.7542231 2.5823384 1.8978159 0.3432948 1.7164738 2.4312539 2.9211347
## 104 0.7710528 1.5562377 0.8771115 0.6865895 0.6865895 1.4191561 1.8939967
## 105 2.0919598 2.9249630 2.2399190 0.6865895 2.0597685 2.7715335 3.2638987
## 106 1.4117152 0.5409745 1.2118306 2.7463580 1.3731790 0.7641926 0.2440981
## 107 2.0919598 2.9249630 2.2399190 0.6865895 2.0597685 2.7715335 3.2638987
## 108 0.3432948 1.2118306 0.5409745 1.0892254 0.4827728 1.0298843 1.6229236
## 109 2.0919598 2.9249630 2.2399190 0.6865895 2.0597685 2.7715335 3.2638987
## 110 3.0896528 3.9497032 3.2638987 1.7467021 3.1048524 3.7762423 4.3162553
## 111 2.7715335 3.6105942 2.9249630 1.3731790 2.7463580 3.4538833 3.9497032
## 112 3.1124753 3.9535345 3.2677283 1.7164738 3.0896528 3.7956317 4.2926996
## 113 2.7715335 3.6105942 2.9249630 1.3731790 2.7463580 3.4538833 3.9497032
## 114 2.2399190 3.0896528 2.4030633 0.8733511 2.2360953 2.9249630 3.4462515
## 115 1.0819491 0.2413864 0.8733511 2.4030633 1.0298843 0.4827728 0.2413864
## 116 1.8939967 2.7639228 2.0843943 0.7241592 1.9515236 2.5785119 3.1575251
## 117 2.7715335 3.6105942 2.9249630 1.3731790 2.7463580 3.4538833 3.9497032
## 118 1.0892254 1.8978159 1.2156269 0.3432948 1.0298843 1.7542231 2.2360953
## 119 4.1376361 4.9826484 4.2965315 2.7463580 4.1195370 4.8221951 5.3219196
## 120 1.4191561 2.2399190 1.5562377 0.0000000 1.3731790 2.0919598 2.5785119
## 121 2.7810175 3.4881664 2.8534067 1.4645888 2.6250082 3.3950498 3.7146725
##            36        37        38        39        40        41        42
## 2                                                                        
## 3                                                                        
## 4                                                                        
## 5                                                                        
## 6                                                                        
## 7                                                                        
## 8                                                                        
## 9                                                                        
## 10                                                                       
## 11                                                                       
## 12                                                                       
## 13                                                                       
## 14                                                                       
## 15                                                                       
## 16                                                                       
## 17                                                                       
## 18                                                                       
## 19                                                                       
## 20                                                                       
## 21                                                                       
## 22                                                                       
## 23                                                                       
## 24                                                                       
## 25                                                                       
## 26                                                                       
## 27                                                                       
## 28                                                                       
## 29                                                                       
## 30                                                                       
## 31                                                                       
## 32                                                                       
## 33                                                                       
## 34                                                                       
## 35                                                                       
## 36                                                                       
## 37  1.2156269                                                            
## 38  2.2399190 1.0298843                                                  
## 39  1.5562377 0.3432948 0.6865895                                        
## 40  1.2118306 2.4030633 3.4329475 2.7463580                              
## 41  0.5409745 1.7164738 2.7463580 2.0597685 0.6865895                    
## 42  2.0597685 0.8733511 0.2440981 0.5409745 3.2638987 2.5785119          
## 43  0.2440981 1.0298843 2.0597685 1.3731790 1.3731790 0.6865895 1.8939967
## 44  0.5446127 0.6865895 1.7164738 1.0298843 1.7164738 1.0298843 1.5524262
## 45  0.0000000 1.2156269 2.2399190 1.5562377 1.2118306 0.5409745 2.0597685
## 46  2.2399190 1.0298843 0.0000000 0.6865895 3.4329475 2.7463580 0.2440981
## 47  0.5446127 0.6865895 1.7164738 1.0298843 1.7164738 1.0298843 1.5524262
## 48  0.3432948 0.8771115 1.8978159 1.2156269 1.5524262 0.8733511 1.7164738
## 49  2.5065874 1.3125041 0.5446127 1.0057881 3.6468808 2.9687526 0.7710528
## 50  1.0819491 2.2360953 3.2638987 2.5785119 0.2440981 0.5409745 3.1048524
## 51  1.8978159 0.6865895 0.3432948 0.3432948 3.0896528 2.4030633 0.2413864
## 52  2.2399190 1.0298843 0.0000000 0.6865895 3.4329475 2.7463580 0.2440981
## 53  0.5409745 1.7164738 2.7463580 2.0597685 0.6865895 0.0000000 2.5785119
## 54  0.2440981 1.0298843 2.0597685 1.3731790 1.3731790 0.6865895 1.8939967
## 55  3.6105942 2.4030633 1.3731790 2.0597685 4.8061265 4.1195370 1.5562377
## 56  1.8978159 0.6865895 0.3432948 0.3432948 3.0896528 2.4030633 0.2413864
## 57  1.2118306 2.4030633 3.4329475 2.7463580 0.0000000 0.6865895 3.2638987
## 58  1.0298843 0.2440981 1.2156269 0.5446127 2.2360953 1.5524262 1.0298843
## 59  0.6865895 1.3019294 2.2844497 1.6229236 1.3125041 0.7322944 2.1638981
## 60  1.2441322 0.5409745 1.3019294 0.7241592 2.2956598 1.6338381 1.2313686
## 61  0.2440981 1.0298843 2.0597685 1.3731790 1.3731790 0.6865895 1.8939967
## 62  3.6105942 2.4030633 1.3731790 2.0597685 4.8061265 4.1195370 1.5562377
## 63  1.7542231 0.5446127 0.5409745 0.2440981 2.9249630 2.2399190 0.4827728
## 64  0.7641926 1.8939967 2.9211347 2.2360953 0.5446127 0.2413864 2.7639228
## 65  3.4329475 2.2360953 1.2118306 1.8939967 4.6357401 3.9497032 1.3731790
## 66  2.5785119 1.4117152 0.4827728 1.0819491 3.7879933 3.1048524 0.5409745
## 67  2.9687526 1.7542231 0.7710528 1.4191561 4.1376361 3.4538833 1.0057881
## 68  3.4329475 2.2360953 1.2118306 1.8939967 4.6357401 3.9497032 1.3731790
## 69  2.7463580 1.5524262 0.5409745 1.2118306 3.9497032 3.2638987 0.6865895
## 70  1.8978159 0.6865895 0.3432948 0.3432948 3.0896528 2.4030633 0.2413864
## 71  2.2399190 1.0298843 0.0000000 0.6865895 3.4329475 2.7463580 0.2440981
## 72  2.6313346 1.4191561 0.4881963 1.0892254 3.7956317 3.1124753 0.7322944
## 73  1.7542231 0.5446127 0.5409745 0.2440981 2.9249630 2.2399190 0.4827728
## 74  0.3432948 1.2118306 2.2360953 1.5524262 1.2156269 0.5446127 2.0843943
## 75  2.7463580 1.5524262 0.5409745 1.2118306 3.9497032 3.2638987 0.6865895
## 76  1.8978159 0.6865895 0.3432948 0.3432948 3.0896528 2.4030633 0.2413864
## 77  0.5409745 0.7710528 1.7542231 1.0892254 1.7467021 1.0819491 1.5562377
## 78  2.4312539 1.2156269 0.2440981 0.8771115 3.6105942 2.9249630 0.4881963
## 79  1.5562377 0.3432948 0.6865895 0.0000000 2.7463580 2.0597685 0.5409745
## 80  0.2440981 1.0298843 2.0597685 1.3731790 1.3731790 0.6865895 1.8939967
## 81  1.4117152 2.5785119 3.6067636 2.9211347 0.2413864 0.8733511 3.4462515
## 82  1.0819491 0.5446127 1.3125041 0.7322944 2.2844497 1.6229236 1.0892254
## 83  2.2399190 1.0298843 0.0000000 0.6865895 3.4329475 2.7463580 0.2440981
## 84  0.8771115 0.3432948 1.3731790 0.6865895 2.0597685 1.3731790 1.2118306
## 85  1.5562377 0.3432948 0.6865895 0.0000000 2.7463580 2.0597685 0.5409745
## 86  0.2440981 1.0298843 2.0597685 1.3731790 1.3731790 0.6865895 1.8939967
## 87  0.6865895 1.8978159 2.9249630 2.2399190 0.5409745 0.2440981 2.7463580
## 88  2.2399190 1.0298843 0.0000000 0.6865895 3.4329475 2.7463580 0.2440981
## 89  3.6105942 2.4030633 1.3731790 2.0597685 4.8061265 4.1195370 1.5562377
## 90  2.0919598 0.8771115 0.2413864 0.5446127 3.2677283 2.5823384 0.3432948
## 91  0.8733511 2.0597685 3.0896528 2.4030633 0.3432948 0.3432948 2.9211347
## 92  2.8234304 1.7588171 0.9959227 1.4687443 4.0307200 3.3630514 0.9655455
## 93  2.5823384 1.3731790 0.3432948 1.0298843 3.7762423 3.0896528 0.5446127
## 94  0.2413864 1.3731790 2.4030633 1.7164738 1.0298843 0.3432948 2.2360953
## 95  2.7463580 1.5524262 0.5409745 1.2118306 3.9497032 3.2638987 0.6865895
## 96  0.5446127 0.6865895 1.7164738 1.0298843 1.7164738 1.0298843 1.5524262
## 97  0.6865895 0.5446127 1.5562377 0.8771115 1.8939967 1.2118306 1.3731790
## 98  2.2399190 1.0298843 0.0000000 0.6865895 3.4329475 2.7463580 0.2440981
## 99  0.8771115 0.3432948 1.3731790 0.6865895 2.0597685 1.3731790 1.2118306
## 100 1.5562377 0.3432948 0.6865895 0.0000000 2.7463580 2.0597685 0.5409745
## 101 2.6313346 1.4191561 0.4881963 1.0892254 3.7956317 3.1124753 0.7322944
## 102 1.4117152 2.5785119 3.6067636 2.9211347 0.2413864 0.8733511 3.4462515
## 103 0.5446127 0.6865895 1.7164738 1.0298843 1.7164738 1.0298843 1.5524262
## 104 1.5562377 0.3432948 0.6865895 0.0000000 2.7463580 2.0597685 0.5409745
## 105 0.2440981 1.0298843 2.0597685 1.3731790 1.3731790 0.6865895 1.8939967
## 106 3.6105942 2.4030633 1.3731790 2.0597685 4.8061265 4.1195370 1.5562377
## 107 0.2440981 1.0298843 2.0597685 1.3731790 1.3731790 0.6865895 1.8939967
## 108 1.9626230 0.7710528 0.4827728 0.4881963 3.1124753 2.4312539 0.5409745
## 109 0.2440981 1.0298843 2.0597685 1.3731790 1.3731790 0.6865895 1.8939967
## 110 0.9959227 2.0843943 3.1048524 2.4236611 0.4881963 0.4827728 2.9574228
## 111 0.5409745 1.7164738 2.7463580 2.0597685 0.6865895 0.0000000 2.5785119
## 112 0.8733511 2.0597685 3.0896528 2.4030633 0.3432948 0.3432948 2.9211347
## 113 0.5409745 1.7164738 2.7463580 2.0597685 0.6865895 0.0000000 2.5785119
## 114 0.3432948 1.2118306 2.2360953 1.5524262 1.2156269 0.5446127 2.0843943
## 115 3.2677283 2.0597685 1.0298843 1.7164738 4.4628318 3.7762423 1.2156269
## 116 0.7710528 0.9959227 1.9515236 1.3019294 1.6338381 1.0057881 1.8415638
## 117 0.5409745 1.7164738 2.7463580 2.0597685 0.6865895 0.0000000 2.5785119
## 118 1.2156269 0.0000000 1.0298843 0.3432948 2.4030633 1.7164738 0.8733511
## 119 1.8939967 3.0896528 4.1195370 3.4329475 0.6865895 1.3731790 3.9497032
## 120 0.8771115 0.3432948 1.3731790 0.6865895 2.0597685 1.3731790 1.2118306
## 121 0.8771115 1.7256530 2.6250082 2.0115762 1.4483183 1.0819491 2.3997029
##            43        44        45        46        47        48        49
## 2                                                                        
## 3                                                                        
## 4                                                                        
## 5                                                                        
## 6                                                                        
## 7                                                                        
## 8                                                                        
## 9                                                                        
## 10                                                                       
## 11                                                                       
## 12                                                                       
## 13                                                                       
## 14                                                                       
## 15                                                                       
## 16                                                                       
## 17                                                                       
## 18                                                                       
## 19                                                                       
## 20                                                                       
## 21                                                                       
## 22                                                                       
## 23                                                                       
## 24                                                                       
## 25                                                                       
## 26                                                                       
## 27                                                                       
## 28                                                                       
## 29                                                                       
## 30                                                                       
## 31                                                                       
## 32                                                                       
## 33                                                                       
## 34                                                                       
## 35                                                                       
## 36                                                                       
## 37                                                                       
## 38                                                                       
## 39                                                                       
## 40                                                                       
## 41                                                                       
## 42                                                                       
## 43                                                                       
## 44  0.3432948                                                            
## 45  0.2440981 0.5446127                                                  
## 46  2.0597685 1.7164738 2.2399190                                        
## 47  0.3432948 0.0000000 0.5446127 1.7164738                              
## 48  0.2413864 0.2440981 0.3432948 1.8978159 0.2440981                    
## 49  2.2956598 1.9626230 2.5065874 0.5446127 1.9626230 2.1784507          
## 50  1.2118306 1.5524262 1.0819491 3.2638987 1.5524262 1.4117152 3.4538833
## 51  1.7164738 1.3731790 1.8978159 0.3432948 1.3731790 1.5562377 0.7322944
## 52  2.0597685 1.7164738 2.2399190 0.0000000 1.7164738 1.8978159 0.5446127
## 53  0.6865895 1.0298843 0.5409745 2.7463580 1.0298843 0.8733511 2.9687526
## 54  0.0000000 0.3432948 0.2440981 2.0597685 0.3432948 0.2413864 2.2956598
## 55  3.4329475 3.0896528 3.6105942 1.3731790 3.0896528 3.2677283 1.3019294
## 56  1.7164738 1.3731790 1.8978159 0.3432948 1.3731790 1.5562377 0.7322944
## 57  1.3731790 1.7164738 1.2118306 3.4329475 1.7164738 1.5524262 3.6468808
## 58  0.8733511 0.5409745 1.0298843 1.2156269 0.5409745 0.6865895 1.5421057
## 59  0.5409745 0.7241592 0.6865895 2.2844497 0.7241592 0.7641926 2.4030633
## 60  1.0057881 0.7322944 1.2441322 1.3019294 0.7322944 0.9763925 1.3731790
## 61  0.0000000 0.3432948 0.2440981 2.0597685 0.3432948 0.2413864 2.2956598
## 62  3.4329475 3.0896528 3.6105942 1.3731790 3.0896528 3.2677283 1.3019294
## 63  1.5562377 1.2156269 1.7542231 0.5409745 1.2156269 1.4191561 0.7710528
## 64  0.8733511 1.2118306 0.7641926 2.9211347 1.2118306 1.0819491 3.1124753
## 65  3.2638987 2.9211347 3.4329475 1.2118306 2.9211347 3.0896528 1.2313686
## 66  2.4236611 2.0843943 2.5785119 0.4827728 2.0843943 2.2360953 0.8733511
## 67  2.7715335 2.4312539 2.9687526 0.7710528 2.4312539 2.6313346 0.5409745
## 68  3.2638987 2.9211347 3.4329475 1.2118306 2.9211347 3.0896528 1.2313686
## 69  2.5785119 2.2360953 2.7463580 0.5409745 2.2360953 2.4030633 0.7641926
## 70  1.7164738 1.3731790 1.8978159 0.3432948 1.3731790 1.5562377 0.7322944
## 71  2.0597685 1.7164738 2.2399190 0.0000000 1.7164738 1.8978159 0.5446127
## 72  2.4312539 2.0919598 2.6313346 0.4881963 2.0919598 2.2956598 0.2413864
## 73  1.5562377 1.2156269 1.7542231 0.5409745 1.2156269 1.4191561 0.7710528
## 74  0.2413864 0.5409745 0.3432948 2.2360953 0.5409745 0.4827728 2.4312539
## 75  2.5785119 2.2360953 2.7463580 0.5409745 2.2360953 2.4030633 0.7641926
## 76  1.7164738 1.3731790 1.8978159 0.3432948 1.3731790 1.5562377 0.7322944
## 77  0.4827728 0.3432948 0.5409745 1.7542231 0.3432948 0.2413864 2.0827328
## 78  2.2399190 1.8978159 2.4312539 0.2440981 1.8978159 2.0919598 0.3432948
## 79  1.3731790 1.0298843 1.5562377 0.6865895 1.0298843 1.2156269 1.0057881
## 80  0.0000000 0.3432948 0.2440981 2.0597685 0.3432948 0.2413864 2.2956598
## 81  1.5524262 1.8939967 1.4117152 3.6067636 1.8939967 1.7467021 3.7956317
## 82  0.9959227 0.7241592 1.0819491 1.3125041 0.7241592 0.7641926 1.7256530
## 83  2.0597685 1.7164738 2.2399190 0.0000000 1.7164738 1.8978159 0.5446127
## 84  0.6865895 0.3432948 0.8771115 1.3731790 0.3432948 0.5446127 1.6338381
## 85  1.3731790 1.0298843 1.5562377 0.6865895 1.0298843 1.2156269 1.0057881
## 86  0.0000000 0.3432948 0.2440981 2.0597685 0.3432948 0.2413864 2.2956598
## 87  0.8771115 1.2156269 0.6865895 2.9249630 1.2156269 1.0298843 3.1724996
## 88  2.0597685 1.7164738 2.2399190 0.0000000 1.7164738 1.8978159 0.5446127
## 89  3.4329475 3.0896528 3.6105942 1.3731790 3.0896528 3.2677283 1.3019294
## 90  1.8978159 1.5562377 2.0919598 0.2413864 1.5562377 1.7542231 0.4881963
## 91  1.0298843 1.3731790 0.8733511 3.0896528 1.3731790 1.2118306 3.3073803
## 92  2.7048727 2.3818062 2.8234304 0.9959227 2.3818062 2.4918378 1.4117152
## 93  2.4030633 2.0597685 2.5823384 0.3432948 2.0597685 2.2399190 0.5409745
## 94  0.3432948 0.6865895 0.2413864 2.4030633 0.6865895 0.5409745 2.6313346
## 95  2.5785119 2.2360953 2.7463580 0.5409745 2.2360953 2.4030633 0.7641926
## 96  0.3432948 0.0000000 0.5446127 1.7164738 0.0000000 0.2440981 1.9626230
## 97  0.5409745 0.2413864 0.6865895 1.5562377 0.2413864 0.3432948 1.8558064
## 98  2.0597685 1.7164738 2.2399190 0.0000000 1.7164738 1.8978159 0.5446127
## 99  0.6865895 0.3432948 0.8771115 1.3731790 0.3432948 0.5446127 1.6338381
## 100 1.3731790 1.0298843 1.5562377 0.6865895 1.0298843 1.2156269 1.0057881
## 101 2.4312539 2.0919598 2.6313346 0.4881963 2.0919598 2.2956598 0.2413864
## 102 1.5524262 1.8939967 1.4117152 3.6067636 1.8939967 1.7467021 3.7956317
## 103 0.3432948 0.0000000 0.5446127 1.7164738 0.0000000 0.2440981 1.9626230
## 104 1.3731790 1.0298843 1.5562377 0.6865895 1.0298843 1.2156269 1.0057881
## 105 0.0000000 0.3432948 0.2440981 2.0597685 0.3432948 0.2413864 2.2956598
## 106 3.4329475 3.0896528 3.6105942 1.3731790 3.0896528 3.2677283 1.3019294
## 107 0.0000000 0.3432948 0.2440981 2.0597685 0.3432948 0.2413864 2.2956598
## 108 1.7542231 1.4191561 1.9626230 0.4827728 1.4191561 1.6338381 0.5446127
## 109 0.0000000 0.3432948 0.2440981 2.0597685 0.3432948 0.2413864 2.2956598
## 110 1.0819491 1.4117152 0.9959227 3.1048524 1.4117152 1.3019294 3.2677283
## 111 0.6865895 1.0298843 0.5409745 2.7463580 1.0298843 0.8733511 2.9687526
## 112 1.0298843 1.3731790 0.8733511 3.0896528 1.3731790 1.2118306 3.3073803
## 113 0.6865895 1.0298843 0.5409745 2.7463580 1.0298843 0.8733511 2.9687526
## 114 0.2413864 0.5409745 0.3432948 2.2360953 0.5409745 0.4827728 2.4312539
## 115 3.0896528 2.7463580 3.2677283 1.0298843 2.7463580 2.9249630 0.9959227
## 116 0.5446127 0.5409745 0.7710528 1.9515236 0.5409745 0.6865895 2.0597685
## 117 0.6865895 1.0298843 0.5409745 2.7463580 1.0298843 0.8733511 2.9687526
## 118 1.0298843 0.6865895 1.2156269 1.0298843 0.6865895 0.8771115 1.3125041
## 119 2.0597685 2.4030633 1.8939967 4.1195370 2.4030633 2.2360953 4.3276781
## 120 0.6865895 0.3432948 0.8771115 1.3731790 0.3432948 0.5446127 1.6338381
## 121 1.0892254 1.2441322 0.8771115 2.6250082 1.2441322 1.0057881 3.0173644
##            50        51        52        53        54        55        56
## 2                                                                        
## 3                                                                        
## 4                                                                        
## 5                                                                        
## 6                                                                        
## 7                                                                        
## 8                                                                        
## 9                                                                        
## 10                                                                       
## 11                                                                       
## 12                                                                       
## 13                                                                       
## 14                                                                       
## 15                                                                       
## 16                                                                       
## 17                                                                       
## 18                                                                       
## 19                                                                       
## 20                                                                       
## 21                                                                       
## 22                                                                       
## 23                                                                       
## 24                                                                       
## 25                                                                       
## 26                                                                       
## 27                                                                       
## 28                                                                       
## 29                                                                       
## 30                                                                       
## 31                                                                       
## 32                                                                       
## 33                                                                       
## 34                                                                       
## 35                                                                       
## 36                                                                       
## 37                                                                       
## 38                                                                       
## 39                                                                       
## 40                                                                       
## 41                                                                       
## 42                                                                       
## 43                                                                       
## 44                                                                       
## 45                                                                       
## 46                                                                       
## 47                                                                       
## 48                                                                       
## 49                                                                       
## 50                                                                       
## 51  2.9211347                                                            
## 52  3.2638987 0.3432948                                                  
## 53  0.5409745 2.4030633 2.7463580                                        
## 54  1.2118306 1.7164738 2.0597685 0.6865895                              
## 55  4.6357401 1.7164738 1.3731790 4.1195370 3.4329475                    
## 56  2.9211347 0.0000000 0.3432948 2.4030633 1.7164738 1.7164738          
## 57  0.2440981 3.0896528 3.4329475 0.6865895 1.3731790 4.8061265 3.0896528
## 58  2.0843943 0.8771115 1.2156269 1.5524262 0.8733511 2.5823384 0.8771115
## 59  1.0892254 1.9515236 2.2844497 0.7322944 0.5409745 3.6354917 1.9515236
## 60  2.0919598 0.9959227 1.3019294 1.6338381 1.0057881 2.6200532 0.9959227
## 61  1.2118306 1.7164738 2.0597685 0.6865895 0.0000000 3.4329475 1.7164738
## 62  4.6357401 1.7164738 1.3731790 4.1195370 3.4329475 0.0000000 1.7164738
## 63  2.7463580 0.2413864 0.5409745 2.2399190 1.5562377 1.8939967 0.2413864
## 64  0.3432948 2.5785119 2.9211347 0.2413864 0.8733511 4.2926996 2.5785119
## 65  4.4721907 1.5524262 1.2118306 3.9497032 3.2638987 0.2440981 1.5524262
## 66  3.6354917 0.7641926 0.4827728 3.1048524 2.4236611 1.0892254 0.7641926
## 67  3.9535345 1.0892254 0.7710528 3.4538833 2.7715335 0.7641926 1.0892254
## 68  4.4721907 1.5524262 1.2118306 3.9497032 3.2638987 0.2440981 1.5524262
## 69  3.7879933 0.8733511 0.5409745 3.2638987 2.5785119 0.8771115 0.8733511
## 70  2.9211347 0.0000000 0.3432948 2.4030633 1.7164738 1.7164738 0.0000000
## 71  3.2638987 0.3432948 0.0000000 2.7463580 2.0597685 1.3731790 0.3432948
## 72  3.6105942 0.7710528 0.4881963 3.1124753 2.4312539 1.0819491 0.7710528
## 73  2.7463580 0.2413864 0.5409745 2.2399190 1.5562377 1.8939967 0.2413864
## 74  1.0298843 1.8939967 2.2360953 0.5446127 0.2413864 3.6067636 1.8939967
## 75  3.7879933 0.8733511 0.5409745 3.2638987 2.5785119 0.8771115 0.8733511
## 76  2.9211347 0.0000000 0.3432948 2.4030633 1.7164738 1.7164738 0.0000000
## 77  1.6229236 1.4191561 1.7542231 1.0819491 0.4827728 3.1124753 1.4191561
## 78  3.4329475 0.5446127 0.2440981 2.9249630 2.2399190 1.2118306 0.5446127
## 79  2.5785119 0.3432948 0.6865895 2.0597685 1.3731790 2.0597685 0.3432948
## 80  1.2118306 1.7164738 2.0597685 0.6865895 0.0000000 3.4329475 1.7164738
## 81  0.3432948 3.2638987 3.6067636 0.8733511 1.5524262 4.9788157 3.2638987
## 82  2.1638981 1.0057881 1.3125041 1.6229236 0.9959227 2.6313346 1.0057881
## 83  3.2638987 0.3432948 0.0000000 2.7463580 2.0597685 1.3731790 0.3432948
## 84  1.8939967 1.0298843 1.3731790 1.3731790 0.6865895 2.7463580 1.0298843
## 85  2.5785119 0.3432948 0.6865895 2.0597685 1.3731790 2.0597685 0.3432948
## 86  1.2118306 1.7164738 2.0597685 0.6865895 0.0000000 3.4329475 1.7164738
## 87  0.4827728 2.5823384 2.9249630 0.2440981 0.8771115 4.2965315 2.5823384
## 88  3.2638987 0.3432948 0.0000000 2.7463580 2.0597685 1.3731790 0.3432948
## 89  4.6357401 1.7164738 1.3731790 4.1195370 3.4329475 0.0000000 1.7164738
## 90  3.0896528 0.2440981 0.2413864 2.5823384 1.8978159 1.5524262 0.2440981
## 91  0.2413864 2.7463580 3.0896528 0.3432948 1.0298843 4.4628318 2.7463580
## 92  3.9030472 1.2069319 0.9959227 3.3630514 2.7048727 1.2204907 1.2069319
## 93  3.6067636 0.6865895 0.3432948 3.0896528 2.4030633 1.0298843 0.6865895
## 94  0.8733511 2.0597685 2.4030633 0.3432948 0.3432948 3.7762423 2.0597685
## 95  3.7879933 0.8733511 0.5409745 3.2638987 2.5785119 0.8771115 0.8733511
## 96  1.5524262 1.3731790 1.7164738 1.0298843 0.3432948 3.0896528 1.3731790
## 97  1.7467021 1.2156269 1.5562377 1.2118306 0.5409745 2.9249630 1.2156269
## 98  3.2638987 0.3432948 0.0000000 2.7463580 2.0597685 1.3731790 0.3432948
## 99  1.8939967 1.0298843 1.3731790 1.3731790 0.6865895 2.7463580 1.0298843
## 100 2.5785119 0.3432948 0.6865895 2.0597685 1.3731790 2.0597685 0.3432948
## 101 3.6105942 0.7710528 0.4881963 3.1124753 2.4312539 1.0819491 0.7710528
## 102 0.3432948 3.2638987 3.6067636 0.8733511 1.5524262 4.9788157 3.2638987
## 103 1.5524262 1.3731790 1.7164738 1.0298843 0.3432948 3.0896528 1.3731790
## 104 2.5785119 0.3432948 0.6865895 2.0597685 1.3731790 2.0597685 0.3432948
## 105 1.2118306 1.7164738 2.0597685 0.6865895 0.0000000 3.4329475 1.7164738
## 106 4.6357401 1.7164738 1.3731790 4.1195370 3.4329475 0.0000000 1.7164738
## 107 1.2118306 1.7164738 2.0597685 0.6865895 0.0000000 3.4329475 1.7164738
## 108 2.9249630 0.3432948 0.4827728 2.4312539 1.7542231 1.7467021 0.3432948
## 109 1.2118306 1.7164738 2.0597685 0.6865895 0.0000000 3.4329475 1.7164738
## 110 0.2440981 2.7639228 3.1048524 0.4827728 1.0819491 4.4721907 2.7639228
## 111 0.5409745 2.4030633 2.7463580 0.0000000 0.6865895 4.1195370 2.4030633
## 112 0.2413864 2.7463580 3.0896528 0.3432948 1.0298843 4.4628318 2.7463580
## 113 0.5409745 2.4030633 2.7463580 0.0000000 0.6865895 4.1195370 2.4030633
## 114 1.0298843 1.8939967 2.2360953 0.5446127 0.2413864 3.6067636 1.8939967
## 115 4.2926996 1.3731790 1.0298843 3.7762423 3.0896528 0.3432948 1.3731790
## 116 1.4191561 1.6229236 1.9515236 1.0057881 0.5446127 3.2960163 1.6229236
## 117 0.5409745 2.4030633 2.7463580 0.0000000 0.6865895 4.1195370 2.4030633
## 118 2.2360953 0.6865895 1.0298843 1.7164738 1.0298843 2.4030633 0.6865895
## 119 0.8771115 3.7762423 4.1195370 1.3731790 2.0597685 5.4927160 3.7762423
## 120 1.8939967 1.0298843 1.3731790 1.3731790 0.6865895 2.7463580 1.0298843
## 121 1.4687443 2.3131585 2.6250082 1.0819491 1.0892254 3.9252461 2.3131585
##            57        58        59        60        61        62        63
## 2                                                                        
## 3                                                                        
## 4                                                                        
## 5                                                                        
## 6                                                                        
## 7                                                                        
## 8                                                                        
## 9                                                                        
## 10                                                                       
## 11                                                                       
## 12                                                                       
## 13                                                                       
## 14                                                                       
## 15                                                                       
## 16                                                                       
## 17                                                                       
## 18                                                                       
## 19                                                                       
## 20                                                                       
## 21                                                                       
## 22                                                                       
## 23                                                                       
## 24                                                                       
## 25                                                                       
## 26                                                                       
## 27                                                                       
## 28                                                                       
## 29                                                                       
## 30                                                                       
## 31                                                                       
## 32                                                                       
## 33                                                                       
## 34                                                                       
## 35                                                                       
## 36                                                                       
## 37                                                                       
## 38                                                                       
## 39                                                                       
## 40                                                                       
## 41                                                                       
## 42                                                                       
## 43                                                                       
## 44                                                                       
## 45                                                                       
## 46                                                                       
## 47                                                                       
## 48                                                                       
## 49                                                                       
## 50                                                                       
## 51                                                                       
## 52                                                                       
## 53                                                                       
## 54                                                                       
## 55                                                                       
## 56                                                                       
## 57                                                                       
## 58  2.2360953                                                            
## 59  1.3125041 1.2313686                                                  
## 60  2.2956598 0.6865895 1.0298843                                        
## 61  1.3731790 0.8733511 0.5409745 1.0057881                              
## 62  4.8061265 2.5823384 3.6354917 2.6200532 3.4329475                    
## 63  2.9249630 0.7710528 1.7467021 0.7641926 1.5562377 1.8939967          
## 64  0.5446127 1.7467021 0.7710528 1.7542231 0.8733511 4.2926996 2.4030633
## 65  4.6357401 2.4030633 3.4934043 2.4918378 3.2638987 0.2440981 1.7467021
## 66  3.7879933 1.5524262 2.7048727 1.7588171 2.4236611 1.0892254 0.9959227
## 67  4.1376361 1.9626230 2.9211347 1.8939967 2.7715335 0.7641926 1.2156269
## 68  4.6357401 2.4030633 3.4934043 2.4918378 3.2638987 0.2440981 1.7467021
## 69  3.9497032 1.7164738 2.8234304 1.8415638 2.5785119 0.8771115 1.0819491
## 70  3.0896528 0.8771115 1.9515236 0.9959227 1.7164738 1.7164738 0.2413864
## 71  3.4329475 1.2156269 2.2844497 1.3019294 2.0597685 1.3731790 0.5409745
## 72  3.7956317 1.6338381 2.5785119 1.5524262 2.4312539 1.0819491 0.8771115
## 73  2.9249630 0.7710528 1.7467021 0.7641926 1.5562377 1.8939967 0.0000000
## 74  1.2156269 1.0819491 0.3432948 1.0892254 0.2413864 3.6067636 1.7164738
## 75  3.9497032 1.7164738 2.8234304 1.8415638 2.5785119 0.8771115 1.0819491
## 76  3.0896528 0.8771115 1.9515236 0.9959227 1.7164738 1.7164738 0.2413864
## 77  1.7467021 0.5446127 0.9959227 1.0057881 0.4827728 3.1124753 1.3125041
## 78  3.6105942 1.4191561 2.4236611 1.4117152 2.2399190 1.2118306 0.6865895
## 79  2.7463580 0.5446127 1.6229236 0.7241592 1.3731790 2.0597685 0.2440981
## 80  1.3731790 0.8733511 0.5409745 1.0057881 0.0000000 3.4329475 1.5562377
## 81  0.2413864 2.4236611 1.4191561 2.4312539 1.5524262 4.9788157 3.0896528
## 82  2.2844497 0.3432948 1.4483183 1.0298843 0.9959227 2.6313346 0.9763925
## 83  3.4329475 1.2156269 2.2844497 1.3019294 2.0597685 1.3731790 0.5409745
## 84  2.0597685 0.2413864 0.9959227 0.5446127 0.6865895 2.7463580 0.8771115
## 85  2.7463580 0.5446127 1.6229236 0.7241592 1.3731790 2.0597685 0.2440981
## 86  1.3731790 0.8733511 0.5409745 1.0057881 0.0000000 3.4329475 1.5562377
## 87  0.5409745 1.7164738 0.9763925 1.8558064 0.8771115 4.2965315 2.4312539
## 88  3.4329475 1.2156269 2.2844497 1.3019294 2.0597685 1.3731790 0.5409745
## 89  4.8061265 2.5823384 3.6354917 2.6200532 3.4329475 0.0000000 1.8939967
## 90  3.2677283 1.0892254 2.0843943 1.0819491 1.8978159 1.5524262 0.3432948
## 91  0.3432948 1.8939967 1.0057881 1.9626230 1.0298843 4.4628318 2.5823384
## 92  4.0307200 1.8415638 3.0567706 2.1861478 2.7048727 1.2204907 1.4483183
## 93  3.7762423 1.5562377 2.6200532 1.6229236 2.4030633 1.0298843 0.8733511
## 94  1.0298843 1.2118306 0.5446127 1.3125041 0.3432948 3.7762423 1.8978159
## 95  3.9497032 1.7164738 2.8234304 1.8415638 2.5785119 0.8771115 1.0819491
## 96  1.7164738 0.5409745 0.7241592 0.7322944 0.3432948 3.0896528 1.2156269
## 97  1.8939967 0.3432948 0.9655455 0.7710528 0.5409745 2.9249630 1.0892254
## 98  3.4329475 1.2156269 2.2844497 1.3019294 2.0597685 1.3731790 0.5409745
## 99  2.0597685 0.2413864 0.9959227 0.5446127 0.6865895 2.7463580 0.8771115
## 100 2.7463580 0.5446127 1.6229236 0.7241592 1.3731790 2.0597685 0.2440981
## 101 3.7956317 1.6338381 2.5785119 1.5524262 2.4312539 1.0819491 0.8771115
## 102 0.2413864 2.4236611 1.4191561 2.4312539 1.5524262 4.9788157 3.0896528
## 103 1.7164738 0.5409745 0.7241592 0.7322944 0.3432948 3.0896528 1.2156269
## 104 2.7463580 0.5446127 1.6229236 0.7241592 1.3731790 2.0597685 0.2440981
## 105 1.3731790 0.8733511 0.5409745 1.0057881 0.0000000 3.4329475 1.5562377
## 106 4.8061265 2.5823384 3.6354917 2.6200532 3.4329475 0.0000000 1.8939967
## 107 1.3731790 0.8733511 0.5409745 1.0057881 0.0000000 3.4329475 1.5562377
## 108 3.1124753 1.0057881 1.8939967 0.8733511 1.7542231 1.7467021 0.2440981
## 109 1.3731790 0.8733511 0.5409745 1.0057881 0.0000000 3.4329475 1.5562377
## 110 0.4881963 1.9515236 0.8771115 1.8978159 1.0819491 4.4721907 2.5785119
## 111 0.6865895 1.5524262 0.7322944 1.6338381 0.6865895 4.1195370 2.2399190
## 112 0.3432948 1.8939967 1.0057881 1.9626230 1.0298843 4.4628318 2.5823384
## 113 0.6865895 1.5524262 0.7322944 1.6338381 0.6865895 4.1195370 2.2399190
## 114 1.2156269 1.0819491 0.3432948 1.0892254 0.2413864 3.6067636 1.7164738
## 115 4.4628318 2.2399190 3.2960163 2.2844497 3.0896528 0.3432948 1.5524262
## 116 1.6338381 0.9655455 0.3432948 0.6865895 0.5446127 3.2960163 1.4117152
## 117 0.6865895 1.5524262 0.7322944 1.6338381 0.6865895 4.1195370 2.2399190
## 118 2.4030633 0.2440981 1.3019294 0.5409745 1.0298843 2.4030633 0.5446127
## 119 0.6865895 2.9211347 1.9626230 2.9687526 2.0597685 5.4927160 3.6105942
## 120 2.0597685 0.2413864 0.9959227 0.5446127 0.6865895 2.7463580 0.8771115
## 121 1.4483183 1.4843476 1.5562377 1.9676475 1.0892254 3.9252461 2.2493033
##            64        65        66        67        68        69        70
## 2                                                                        
## 3                                                                        
## 4                                                                        
## 5                                                                        
## 6                                                                        
## 7                                                                        
## 8                                                                        
## 9                                                                        
## 10                                                                       
## 11                                                                       
## 12                                                                       
## 13                                                                       
## 14                                                                       
## 15                                                                       
## 16                                                                       
## 17                                                                       
## 18                                                                       
## 19                                                                       
## 20                                                                       
## 21                                                                       
## 22                                                                       
## 23                                                                       
## 24                                                                       
## 25                                                                       
## 26                                                                       
## 27                                                                       
## 28                                                                       
## 29                                                                       
## 30                                                                       
## 31                                                                       
## 32                                                                       
## 33                                                                       
## 34                                                                       
## 35                                                                       
## 36                                                                       
## 37                                                                       
## 38                                                                       
## 39                                                                       
## 40                                                                       
## 41                                                                       
## 42                                                                       
## 43                                                                       
## 44                                                                       
## 45                                                                       
## 46                                                                       
## 47                                                                       
## 48                                                                       
## 49                                                                       
## 50                                                                       
## 51                                                                       
## 52                                                                       
## 53                                                                       
## 54                                                                       
## 55                                                                       
## 56                                                                       
## 57                                                                       
## 58                                                                       
## 59                                                                       
## 60                                                                       
## 61                                                                       
## 62                                                                       
## 63                                                                       
## 64                                                                       
## 65  4.1299928                                                            
## 66  3.2960163 0.8771115                                                  
## 67  3.6105942 0.7241592 0.7710528                                        
## 68  4.1299928 0.0000000 0.8771115 0.7241592                              
## 69  3.4462515 0.6865895 0.2440981 0.5446127 0.6865895                    
## 70  2.5785119 1.5524262 0.7641926 1.0892254 1.5524262 0.8733511          
## 71  2.9211347 1.2118306 0.4827728 0.7710528 1.2118306 0.5409745 0.3432948
## 72  3.2677283 0.9959227 0.6865895 0.3432948 0.9959227 0.5409745 0.7710528
## 73  2.4030633 1.7467021 0.9959227 1.2156269 1.7467021 1.0819491 0.2413864
## 74  0.6865895 3.4462515 2.6200532 2.9249630 3.4462515 2.7639228 1.8939967
## 75  3.4462515 0.6865895 0.2440981 0.5446127 0.6865895 0.0000000 0.8733511
## 76  2.5785119 1.5524262 0.7641926 1.0892254 1.5524262 0.8733511 0.0000000
## 77  1.3019294 2.9249630 2.0597685 2.5065874 2.9249630 2.2399190 1.4191561
## 78  3.0896528 1.0819491 0.5409745 0.5446127 1.0819491 0.4827728 0.5446127
## 79  2.2360953 1.8939967 1.0819491 1.4191561 1.8939967 1.2118306 0.3432948
## 80  0.8733511 3.2638987 2.4236611 2.7715335 3.2638987 2.5785119 1.7164738
## 81  0.6865895 4.8145447 3.9756230 4.2965315 4.8145447 4.1299928 3.2638987
## 82  1.8415638 2.4312539 1.5562377 2.0827328 2.4312539 1.7542231 1.0057881
## 83  2.9211347 1.2118306 0.4827728 0.7710528 1.2118306 0.5409745 0.3432948
## 84  1.5524262 2.5785119 1.7467021 2.0919598 2.5785119 1.8939967 1.0298843
## 85  2.2360953 1.8939967 1.0819491 1.4191561 1.8939967 1.2118306 0.3432948
## 86  0.8733511 3.2638987 2.4236611 2.7715335 3.2638987 2.5785119 1.7164738
## 87  0.3432948 4.1195370 3.2638987 3.6468808 4.1195370 3.4329475 2.5823384
## 88  2.9211347 1.2118306 0.4827728 0.7710528 1.2118306 0.5409745 0.3432948
## 89  4.2926996 0.2440981 1.0892254 0.7641926 0.2440981 0.8771115 1.7164738
## 90  2.7463580 1.4117152 0.7241592 0.8771115 1.4117152 0.7641926 0.2440981
## 91  0.2440981 4.2926996 3.4462515 3.7956317 4.2926996 3.6067636 2.7463580
## 92  3.5730658 0.9763925 0.5409745 1.2156269 0.9763925 0.6865895 1.2069319
## 93  3.2638987 0.8733511 0.3432948 0.4881963 0.8733511 0.2413864 0.6865895
## 94  0.5409745 3.6067636 2.7639228 3.1124753 3.6067636 2.9211347 2.0597685
## 95  3.4462515 0.6865895 0.2440981 0.5446127 0.6865895 0.0000000 0.8733511
## 96  1.2118306 2.9211347 2.0843943 2.4312539 2.9211347 2.2360953 1.3731790
## 97  1.4117152 2.7463580 1.8939967 2.2956598 2.7463580 2.0597685 1.2156269
## 98  2.9211347 1.2118306 0.4827728 0.7710528 1.2118306 0.5409745 0.3432948
## 99  1.5524262 2.5785119 1.7467021 2.0919598 2.5785119 1.8939967 1.0298843
## 100 2.2360953 1.8939967 1.0819491 1.4191561 1.8939967 1.2118306 0.3432948
## 101 3.2677283 0.9959227 0.6865895 0.3432948 0.9959227 0.5409745 0.7710528
## 102 0.6865895 4.8145447 3.9756230 4.2965315 4.8145447 4.1299928 3.2638987
## 103 1.2118306 2.9211347 2.0843943 2.4312539 2.9211347 2.2360953 1.3731790
## 104 2.2360953 1.8939967 1.0819491 1.4191561 1.8939967 1.2118306 0.3432948
## 105 0.8733511 3.2638987 2.4236611 2.7715335 3.2638987 2.5785119 1.7164738
## 106 4.2926996 0.2440981 1.0892254 0.7641926 0.2440981 0.8771115 1.7164738
## 107 0.8733511 3.2638987 2.4236611 2.7715335 3.2638987 2.5785119 1.7164738
## 108 2.5823384 1.6229236 0.9655455 1.0298843 1.6229236 0.9959227 0.3432948
## 109 0.8733511 3.2638987 2.4236611 2.7715335 3.2638987 2.5785119 1.7164738
## 110 0.2413864 4.3162553 3.4934043 3.7762423 4.3162553 3.6354917 2.7639228
## 111 0.2413864 3.9497032 3.1048524 3.4538833 3.9497032 3.2638987 2.4030633
## 112 0.2440981 4.2926996 3.4462515 3.7956317 4.2926996 3.6067636 2.7463580
## 113 0.2413864 3.9497032 3.1048524 3.4538833 3.9497032 3.2638987 2.4030633
## 114 0.6865895 3.4462515 2.6200532 2.9249630 3.4462515 2.7639228 1.8939967
## 115 3.9497032 0.2413864 0.7710528 0.4827728 0.2413864 0.5446127 1.3731790
## 116 1.0892254 3.1575251 2.3818062 2.5785119 3.1575251 2.4918378 1.6229236
## 117 0.2413864 3.9497032 3.1048524 3.4538833 3.9497032 3.2638987 2.4030633
## 118 1.8939967 2.2360953 1.4117152 1.7542231 2.2360953 1.5524262 0.6865895
## 119 1.2156269 5.3219196 4.4721907 4.8221951 5.3219196 4.6357401 3.7762423
## 120 1.5524262 2.5785119 1.7467021 2.0919598 2.5785119 1.8939967 1.0298843
## 121 1.3019294 3.7146725 2.8383121 3.3950498 3.7146725 3.0507831 2.3131585
##            71        72        73        74        75        76        77
## 2                                                                        
## 3                                                                        
## 4                                                                        
## 5                                                                        
## 6                                                                        
## 7                                                                        
## 8                                                                        
## 9                                                                        
## 10                                                                       
## 11                                                                       
## 12                                                                       
## 13                                                                       
## 14                                                                       
## 15                                                                       
## 16                                                                       
## 17                                                                       
## 18                                                                       
## 19                                                                       
## 20                                                                       
## 21                                                                       
## 22                                                                       
## 23                                                                       
## 24                                                                       
## 25                                                                       
## 26                                                                       
## 27                                                                       
## 28                                                                       
## 29                                                                       
## 30                                                                       
## 31                                                                       
## 32                                                                       
## 33                                                                       
## 34                                                                       
## 35                                                                       
## 36                                                                       
## 37                                                                       
## 38                                                                       
## 39                                                                       
## 40                                                                       
## 41                                                                       
## 42                                                                       
## 43                                                                       
## 44                                                                       
## 45                                                                       
## 46                                                                       
## 47                                                                       
## 48                                                                       
## 49                                                                       
## 50                                                                       
## 51                                                                       
## 52                                                                       
## 53                                                                       
## 54                                                                       
## 55                                                                       
## 56                                                                       
## 57                                                                       
## 58                                                                       
## 59                                                                       
## 60                                                                       
## 61                                                                       
## 62                                                                       
## 63                                                                       
## 64                                                                       
## 65                                                                       
## 66                                                                       
## 67                                                                       
## 68                                                                       
## 69                                                                       
## 70                                                                       
## 71                                                                       
## 72  0.4881963                                                            
## 73  0.5409745 0.8771115                                                  
## 74  2.2360953 2.5823384 1.7164738                                        
## 75  0.5409745 0.5409745 1.0819491 2.7639228                              
## 76  0.3432948 0.7710528 0.2413864 1.8939967 0.8733511                    
## 77  1.7542231 2.1784507 1.3125041 0.7241592 2.2399190 1.4191561          
## 78  0.2440981 0.2440981 0.6865895 2.4030633 0.4827728 0.5446127 1.9626230
## 79  0.6865895 1.0892254 0.2440981 1.5524262 1.2118306 0.3432948 1.0892254
## 80  2.0597685 2.4312539 1.5562377 0.2413864 2.5785119 1.7164738 0.4827728
## 81  3.6067636 3.9535345 3.0896528 1.3731790 4.1299928 3.2638987 1.9515236
## 82  1.3125041 1.7755789 0.9763925 1.2313686 1.7542231 1.0057881 0.5409745
## 83  0.0000000 0.4881963 0.5409745 2.2360953 0.5409745 0.3432948 1.7542231
## 84  1.3731790 1.7542231 0.8771115 0.8733511 1.8939967 1.0298843 0.4881963
## 85  0.6865895 1.0892254 0.2440981 1.5524262 1.2118306 0.3432948 1.0892254
## 86  2.0597685 2.4312539 1.5562377 0.2413864 2.5785119 1.7164738 0.4827728
## 87  2.9249630 3.3073803 2.4312539 0.7710528 3.4329475 2.5823384 1.2118306
## 88  0.0000000 0.4881963 0.5409745 2.2360953 0.5409745 0.3432948 1.7542231
## 89  1.3731790 1.0819491 1.8939967 3.6067636 0.8771115 1.7164738 3.1124753
## 90  0.2413864 0.5446127 0.3432948 2.0597685 0.7641926 0.2440981 1.6338381
## 91  3.0896528 3.4538833 2.5823384 0.8771115 3.6067636 2.7463580 1.4117152
## 92  0.9959227 1.2118306 1.4483183 2.9223195 0.6865895 1.2069319 2.2844497
## 93  0.3432948 0.3432948 0.8733511 2.5785119 0.2413864 0.6865895 2.0919598
## 94  2.4030633 2.7715335 1.8978159 0.2440981 2.9211347 2.0597685 0.7641926
## 95  0.5409745 0.5409745 1.0819491 2.7639228 0.0000000 0.8733511 2.2399190
## 96  1.7164738 2.0919598 1.2156269 0.5409745 2.2360953 1.3731790 0.3432948
## 97  1.5562377 1.9626230 1.0892254 0.7641926 2.0597685 1.2156269 0.2440981
## 98  0.0000000 0.4881963 0.5409745 2.2360953 0.5409745 0.3432948 1.7542231
## 99  1.3731790 1.7542231 0.8771115 0.8733511 1.8939967 1.0298843 0.4881963
## 100 0.6865895 1.0892254 0.2440981 1.5524262 1.2118306 0.3432948 1.0892254
## 101 0.4881963 0.0000000 0.8771115 2.5823384 0.5409745 0.7710528 2.1784507
## 102 3.6067636 3.9535345 3.0896528 1.3731790 4.1299928 3.2638987 1.9515236
## 103 1.7164738 2.0919598 1.2156269 0.5409745 2.2360953 1.3731790 0.3432948
## 104 0.6865895 1.0892254 0.2440981 1.5524262 1.2118306 0.3432948 1.0892254
## 105 2.0597685 2.4312539 1.5562377 0.2413864 2.5785119 1.7164738 0.4827728
## 106 1.3731790 1.0819491 1.8939967 3.6067636 0.8771115 1.7164738 3.1124753
## 107 2.0597685 2.4312539 1.5562377 0.2413864 2.5785119 1.7164738 0.4827728
## 108 0.4827728 0.6865895 0.2440981 1.8978159 0.9959227 0.3432948 1.5421057
## 109 2.0597685 2.4312539 1.5562377 0.2413864 2.5785119 1.7164738 0.4827728
## 110 3.1048524 3.4329475 2.5785119 0.8733511 3.6354917 2.7639228 1.5283853
## 111 2.7463580 3.1124753 2.2399190 0.5446127 3.2638987 2.4030633 1.0819491
## 112 3.0896528 3.4538833 2.5823384 0.8771115 3.6067636 2.7463580 1.4117152
## 113 2.7463580 3.1124753 2.2399190 0.5446127 3.2638987 2.4030633 1.0819491
## 114 2.2360953 2.5823384 1.7164738 0.0000000 2.7639228 1.8939967 0.7241592
## 115 1.0298843 0.7641926 1.5524262 3.2638987 0.5446127 1.3731790 2.7715335
## 116 1.9515236 2.2360953 1.4117152 0.4881963 2.4918378 1.6229236 0.8733511
## 117 2.7463580 3.1124753 2.2399190 0.5446127 3.2638987 2.4030633 1.0819491
## 118 1.0298843 1.4191561 0.5446127 1.2118306 1.5524262 0.6865895 0.7710528
## 119 4.1195370 4.4798379 3.6105942 1.8978159 4.6357401 3.7762423 2.4236611
## 120 1.3731790 1.7542231 0.8771115 0.8733511 1.8939967 1.0298843 0.4881963
## 121 2.6250082 3.0842113 2.2493033 1.2156269 3.0507831 2.3131585 0.9763925
##            78        79        80        81        82        83        84
## 2                                                                        
## 3                                                                        
## 4                                                                        
## 5                                                                        
## 6                                                                        
## 7                                                                        
## 8                                                                        
## 9                                                                        
## 10                                                                       
## 11                                                                       
## 12                                                                       
## 13                                                                       
## 14                                                                       
## 15                                                                       
## 16                                                                       
## 17                                                                       
## 18                                                                       
## 19                                                                       
## 20                                                                       
## 21                                                                       
## 22                                                                       
## 23                                                                       
## 24                                                                       
## 25                                                                       
## 26                                                                       
## 27                                                                       
## 28                                                                       
## 29                                                                       
## 30                                                                       
## 31                                                                       
## 32                                                                       
## 33                                                                       
## 34                                                                       
## 35                                                                       
## 36                                                                       
## 37                                                                       
## 38                                                                       
## 39                                                                       
## 40                                                                       
## 41                                                                       
## 42                                                                       
## 43                                                                       
## 44                                                                       
## 45                                                                       
## 46                                                                       
## 47                                                                       
## 48                                                                       
## 49                                                                       
## 50                                                                       
## 51                                                                       
## 52                                                                       
## 53                                                                       
## 54                                                                       
## 55                                                                       
## 56                                                                       
## 57                                                                       
## 58                                                                       
## 59                                                                       
## 60                                                                       
## 61                                                                       
## 62                                                                       
## 63                                                                       
## 64                                                                       
## 65                                                                       
## 66                                                                       
## 67                                                                       
## 68                                                                       
## 69                                                                       
## 70                                                                       
## 71                                                                       
## 72                                                                       
## 73                                                                       
## 74                                                                       
## 75                                                                       
## 76                                                                       
## 77                                                                       
## 78                                                                       
## 79  0.8771115                                                            
## 80  2.2399190 1.3731790                                                  
## 81  3.7762423 2.9211347 1.5524262                                        
## 82  1.5421057 0.7322944 0.9959227 2.4918378                              
## 83  0.2440981 0.6865895 2.0597685 3.6067636 1.3125041                    
## 84  1.5562377 0.6865895 0.6865895 2.2360953 0.5409745 1.3731790          
## 85  0.8771115 0.0000000 1.3731790 2.9211347 0.7322944 0.6865895 0.6865895
## 86  2.2399190 1.3731790 0.0000000 1.5524262 0.9959227 2.0597685 0.6865895
## 87  3.1124753 2.2399190 0.8771115 0.7641926 1.7467021 2.9249630 1.5562377
## 88  0.2440981 0.6865895 2.0597685 3.6067636 1.3125041 0.0000000 1.3731790
## 89  1.2118306 2.0597685 3.4329475 4.9788157 2.6313346 1.3731790 2.7463580
## 90  0.3432948 0.5446127 1.8978159 3.4329475 1.2441322 0.2413864 1.2156269
## 91  3.2677283 2.4030633 1.0298843 0.5409745 1.9515236 3.0896528 1.7164738
## 92  1.0819491 1.4687443 2.7048727 4.2351456 1.7467021 0.9959227 2.0652767
## 93  0.2413864 1.0298843 2.4030633 3.9497032 1.6338381 0.3432948 1.7164738
## 94  2.5823384 1.7164738 0.3432948 1.2118306 1.3019294 2.4030633 1.0298843
## 95  0.4827728 1.2118306 2.5785119 4.1299928 1.7542231 0.5409745 1.8939967
## 96  1.8978159 1.0298843 0.3432948 1.8939967 0.7241592 1.7164738 0.3432948
## 97  1.7542231 0.8771115 0.5409745 2.0843943 0.4827728 1.5562377 0.2440981
## 98  0.2440981 0.6865895 2.0597685 3.6067636 1.3125041 0.0000000 1.3731790
## 99  1.5562377 0.6865895 0.6865895 2.2360953 0.5409745 1.3731790 0.0000000
## 100 0.8771115 0.0000000 1.3731790 2.9211347 0.7322944 0.6865895 0.6865895
## 101 0.2440981 1.0892254 2.4312539 3.9535345 1.7755789 0.4881963 1.7542231
## 102 3.7762423 2.9211347 1.5524262 0.0000000 2.4918378 3.6067636 2.2360953
## 103 1.8978159 1.0298843 0.3432948 1.8939967 0.7241592 1.7164738 0.3432948
## 104 0.8771115 0.0000000 1.3731790 2.9211347 0.7322944 0.6865895 0.6865895
## 105 2.2399190 1.3731790 0.0000000 1.5524262 0.9959227 2.0597685 0.6865895
## 106 1.2118306 2.0597685 3.4329475 4.9788157 2.6313346 1.3731790 2.7463580
## 107 2.2399190 1.3731790 0.0000000 1.5524262 0.9959227 2.0597685 0.6865895
## 108 0.5409745 0.4881963 1.7542231 3.2677283 1.2204907 0.4827728 1.0892254
## 109 2.2399190 1.3731790 0.0000000 1.5524262 0.9959227 2.0597685 0.6865895
## 110 3.2638987 2.4236611 1.0819491 0.5446127 2.0652767 3.1048524 1.7467021
## 111 2.9249630 2.0597685 0.6865895 0.8733511 1.6229236 2.7463580 1.3731790
## 112 3.2677283 2.4030633 1.0298843 0.5409745 1.9515236 3.0896528 1.7164738
## 113 2.9249630 2.0597685 0.6865895 0.8733511 1.6229236 2.7463580 1.3731790
## 114 2.4030633 1.5524262 0.2413864 1.3731790 1.2313686 2.2360953 0.8733511
## 115 0.8733511 1.7164738 3.0896528 4.6357401 2.2956598 1.0298843 2.4030633
## 116 2.0843943 1.3019294 0.5446127 1.7542231 1.2313686 1.9515236 0.7241592
## 117 2.9249630 2.0597685 0.6865895 0.8733511 1.6229236 2.7463580 1.3731790
## 118 1.2156269 0.3432948 1.0298843 2.5785119 0.5446127 1.0298843 0.3432948
## 119 4.2965315 3.4329475 2.0597685 0.5446127 2.9574228 4.1195370 2.7463580
## 120 1.5562377 0.6865895 0.6865895 2.2360953 0.5409745 1.3731790 0.0000000
## 121 2.8534067 2.0115762 1.0892254 1.6897047 1.3125041 2.6250082 1.4645888
##            85        86        87        88        89        90        91
## 2                                                                        
## 3                                                                        
## 4                                                                        
## 5                                                                        
## 6                                                                        
## 7                                                                        
## 8                                                                        
## 9                                                                        
## 10                                                                       
## 11                                                                       
## 12                                                                       
## 13                                                                       
## 14                                                                       
## 15                                                                       
## 16                                                                       
## 17                                                                       
## 18                                                                       
## 19                                                                       
## 20                                                                       
## 21                                                                       
## 22                                                                       
## 23                                                                       
## 24                                                                       
## 25                                                                       
## 26                                                                       
## 27                                                                       
## 28                                                                       
## 29                                                                       
## 30                                                                       
## 31                                                                       
## 32                                                                       
## 33                                                                       
## 34                                                                       
## 35                                                                       
## 36                                                                       
## 37                                                                       
## 38                                                                       
## 39                                                                       
## 40                                                                       
## 41                                                                       
## 42                                                                       
## 43                                                                       
## 44                                                                       
## 45                                                                       
## 46                                                                       
## 47                                                                       
## 48                                                                       
## 49                                                                       
## 50                                                                       
## 51                                                                       
## 52                                                                       
## 53                                                                       
## 54                                                                       
## 55                                                                       
## 56                                                                       
## 57                                                                       
## 58                                                                       
## 59                                                                       
## 60                                                                       
## 61                                                                       
## 62                                                                       
## 63                                                                       
## 64                                                                       
## 65                                                                       
## 66                                                                       
## 67                                                                       
## 68                                                                       
## 69                                                                       
## 70                                                                       
## 71                                                                       
## 72                                                                       
## 73                                                                       
## 74                                                                       
## 75                                                                       
## 76                                                                       
## 77                                                                       
## 78                                                                       
## 79                                                                       
## 80                                                                       
## 81                                                                       
## 82                                                                       
## 83                                                                       
## 84                                                                       
## 85                                                                       
## 86  1.3731790                                                            
## 87  2.2399190 0.8771115                                                  
## 88  0.6865895 2.0597685 2.9249630                                        
## 89  2.0597685 3.4329475 4.2965315 1.3731790                              
## 90  0.5446127 1.8978159 2.7715335 0.2413864 1.5524262                    
## 91  2.4030633 1.0298843 0.2413864 3.0896528 4.4628318 2.9249630          
## 92  1.4687443 2.7048727 3.4934043 0.9959227 1.2204907 1.2313686 3.6960192
## 93  1.0298843 2.4030633 3.2677283 0.3432948 1.0298843 0.5409745 3.4329475
## 94  1.7164738 0.3432948 0.5446127 2.4030633 3.7762423 2.2399190 0.6865895
## 95  1.2118306 2.5785119 3.4329475 0.5409745 0.8771115 0.7641926 3.6067636
## 96  1.0298843 0.3432948 1.2156269 1.7164738 3.0896528 1.5562377 1.3731790
## 97  0.8771115 0.5409745 1.3731790 1.5562377 2.9249630 1.4191561 1.5524262
## 98  0.6865895 2.0597685 2.9249630 0.0000000 1.3731790 0.2413864 3.0896528
## 99  0.6865895 0.6865895 1.5562377 1.3731790 2.7463580 1.2156269 1.7164738
## 100 0.0000000 1.3731790 2.2399190 0.6865895 2.0597685 0.5446127 2.4030633
## 101 1.0892254 2.4312539 3.3073803 0.4881963 1.0819491 0.5446127 3.4538833
## 102 2.9211347 1.5524262 0.7641926 3.6067636 4.9788157 3.4329475 0.5409745
## 103 1.0298843 0.3432948 1.2156269 1.7164738 3.0896528 1.5562377 1.3731790
## 104 0.0000000 1.3731790 2.2399190 0.6865895 2.0597685 0.5446127 2.4030633
## 105 1.3731790 0.0000000 0.8771115 2.0597685 3.4329475 1.8978159 1.0298843
## 106 2.0597685 3.4329475 4.2965315 1.3731790 0.0000000 1.5524262 4.4628318
## 107 1.3731790 0.0000000 0.8771115 2.0597685 3.4329475 1.8978159 1.0298843
## 108 0.4881963 1.7542231 2.6313346 0.4827728 1.7467021 0.2413864 2.7715335
## 109 1.3731790 0.0000000 0.8771115 2.0597685 3.4329475 1.8978159 1.0298843
## 110 2.4236611 1.0819491 0.5409745 3.1048524 4.4721907 2.9211347 0.3432948
## 111 2.0597685 0.6865895 0.2440981 2.7463580 4.1195370 2.5823384 0.3432948
## 112 2.4030633 1.0298843 0.2413864 3.0896528 4.4628318 2.9249630 0.0000000
## 113 2.0597685 0.6865895 0.2440981 2.7463580 4.1195370 2.5823384 0.3432948
## 114 1.5524262 0.2413864 0.7710528 2.2360953 3.6067636 2.0597685 0.8771115
## 115 1.7164738 3.0896528 3.9535345 1.0298843 0.3432948 1.2118306 4.1195370
## 116 1.3019294 0.5446127 1.2441322 1.9515236 3.2960163 1.7467021 1.3125041
## 117 2.0597685 0.6865895 0.2440981 2.7463580 4.1195370 2.5823384 0.3432948
## 118 0.3432948 1.0298843 1.8978159 1.0298843 2.4030633 0.8771115 2.0597685
## 119 3.4329475 2.0597685 1.2118306 4.1195370 5.4927160 3.9535345 1.0298843
## 120 0.6865895 0.6865895 1.5562377 1.3731790 2.7463580 1.2156269 1.7164738
## 121 2.0115762 1.0892254 0.9959227 2.6250082 3.9252461 2.5461336 1.2313686
##            92        93        94        95        96        97        98
## 2                                                                        
## 3                                                                        
## 4                                                                        
## 5                                                                        
## 6                                                                        
## 7                                                                        
## 8                                                                        
## 9                                                                        
## 10                                                                       
## 11                                                                       
## 12                                                                       
## 13                                                                       
## 14                                                                       
## 15                                                                       
## 16                                                                       
## 17                                                                       
## 18                                                                       
## 19                                                                       
## 20                                                                       
## 21                                                                       
## 22                                                                       
## 23                                                                       
## 24                                                                       
## 25                                                                       
## 26                                                                       
## 27                                                                       
## 28                                                                       
## 29                                                                       
## 30                                                                       
## 31                                                                       
## 32                                                                       
## 33                                                                       
## 34                                                                       
## 35                                                                       
## 36                                                                       
## 37                                                                       
## 38                                                                       
## 39                                                                       
## 40                                                                       
## 41                                                                       
## 42                                                                       
## 43                                                                       
## 44                                                                       
## 45                                                                       
## 46                                                                       
## 47                                                                       
## 48                                                                       
## 49                                                                       
## 50                                                                       
## 51                                                                       
## 52                                                                       
## 53                                                                       
## 54                                                                       
## 55                                                                       
## 56                                                                       
## 57                                                                       
## 58                                                                       
## 59                                                                       
## 60                                                                       
## 61                                                                       
## 62                                                                       
## 63                                                                       
## 64                                                                       
## 65                                                                       
## 66                                                                       
## 67                                                                       
## 68                                                                       
## 69                                                                       
## 70                                                                       
## 71                                                                       
## 72                                                                       
## 73                                                                       
## 74                                                                       
## 75                                                                       
## 76                                                                       
## 77                                                                       
## 78                                                                       
## 79                                                                       
## 80                                                                       
## 81                                                                       
## 82                                                                       
## 83                                                                       
## 84                                                                       
## 85                                                                       
## 86                                                                       
## 87                                                                       
## 88                                                                       
## 89                                                                       
## 90                                                                       
## 91                                                                       
## 92                                                                       
## 93  0.8733511                                                            
## 94  3.0323875 2.7463580                                                  
## 95  0.6865895 0.2413864 2.9211347                                        
## 96  2.3818062 2.0597685 0.6865895 2.2360953                              
## 97  2.1638981 1.8978159 0.8733511 2.0597685 0.2413864                    
## 98  0.9959227 0.3432948 2.4030633 0.5409745 1.7164738 1.5562377          
## 99  2.0652767 1.7164738 1.0298843 1.8939967 0.3432948 0.2440981 1.3731790
## 100 1.4687443 1.0298843 1.7164738 1.2118306 1.0298843 0.8771115 0.6865895
## 101 1.2118306 0.3432948 2.7715335 0.5409745 2.0919598 1.9626230 0.4881963
## 102 4.2351456 3.9497032 1.2118306 4.1299928 1.8939967 2.0843943 3.6067636
## 103 2.3818062 2.0597685 0.6865895 2.2360953 0.0000000 0.2413864 1.7164738
## 104 1.4687443 1.0298843 1.7164738 1.2118306 1.0298843 0.8771115 0.6865895
## 105 2.7048727 2.4030633 0.3432948 2.5785119 0.3432948 0.5409745 2.0597685
## 106 1.2204907 1.0298843 3.7762423 0.8771115 3.0896528 2.9249630 1.3731790
## 107 2.7048727 2.4030633 0.3432948 2.5785119 0.3432948 0.5409745 2.0597685
## 108 1.4687443 0.7641926 2.0919598 0.9959227 1.4191561 1.3125041 0.4827728
## 109 2.7048727 2.4030633 0.3432948 2.5785119 0.3432948 0.5409745 2.0597685
## 110 3.7868218 3.4462515 0.7641926 3.6354917 1.4117152 1.6229236 3.1048524
## 111 3.3630514 3.0896528 0.3432948 3.2638987 1.0298843 1.2118306 2.7463580
## 112 3.6960192 3.4329475 0.6865895 3.6067636 1.3731790 1.5524262 3.0896528
## 113 3.3630514 3.0896528 0.3432948 3.2638987 1.0298843 1.2118306 2.7463580
## 114 2.9223195 2.5785119 0.2440981 2.7639228 0.5409745 0.7641926 2.2360953
## 115 1.0057881 0.6865895 3.4329475 0.5446127 2.7463580 2.5823384 1.0298843
## 116 2.7543800 2.2844497 0.7322944 2.4918378 0.5409745 0.7641926 1.9515236
## 117 3.3630514 3.0896528 0.3432948 3.2638987 1.0298843 1.2118306 2.7463580
## 118 1.7588171 1.3731790 1.3731790 1.5524262 0.6865895 0.5446127 1.0298843
## 119 4.7038392 4.4628318 1.7164738 4.6357401 2.4030633 2.5785119 4.1195370
## 120 2.0652767 1.7164738 1.0298843 1.8939967 0.3432948 0.2440981 1.3731790
## 121 2.9249630 2.9438642 1.0298843 3.0507831 1.2441322 1.2204907 2.6250082
##            99       100       101       102       103       104       105
## 2                                                                        
## 3                                                                        
## 4                                                                        
## 5                                                                        
## 6                                                                        
## 7                                                                        
## 8                                                                        
## 9                                                                        
## 10                                                                       
## 11                                                                       
## 12                                                                       
## 13                                                                       
## 14                                                                       
## 15                                                                       
## 16                                                                       
## 17                                                                       
## 18                                                                       
## 19                                                                       
## 20                                                                       
## 21                                                                       
## 22                                                                       
## 23                                                                       
## 24                                                                       
## 25                                                                       
## 26                                                                       
## 27                                                                       
## 28                                                                       
## 29                                                                       
## 30                                                                       
## 31                                                                       
## 32                                                                       
## 33                                                                       
## 34                                                                       
## 35                                                                       
## 36                                                                       
## 37                                                                       
## 38                                                                       
## 39                                                                       
## 40                                                                       
## 41                                                                       
## 42                                                                       
## 43                                                                       
## 44                                                                       
## 45                                                                       
## 46                                                                       
## 47                                                                       
## 48                                                                       
## 49                                                                       
## 50                                                                       
## 51                                                                       
## 52                                                                       
## 53                                                                       
## 54                                                                       
## 55                                                                       
## 56                                                                       
## 57                                                                       
## 58                                                                       
## 59                                                                       
## 60                                                                       
## 61                                                                       
## 62                                                                       
## 63                                                                       
## 64                                                                       
## 65                                                                       
## 66                                                                       
## 67                                                                       
## 68                                                                       
## 69                                                                       
## 70                                                                       
## 71                                                                       
## 72                                                                       
## 73                                                                       
## 74                                                                       
## 75                                                                       
## 76                                                                       
## 77                                                                       
## 78                                                                       
## 79                                                                       
## 80                                                                       
## 81                                                                       
## 82                                                                       
## 83                                                                       
## 84                                                                       
## 85                                                                       
## 86                                                                       
## 87                                                                       
## 88                                                                       
## 89                                                                       
## 90                                                                       
## 91                                                                       
## 92                                                                       
## 93                                                                       
## 94                                                                       
## 95                                                                       
## 96                                                                       
## 97                                                                       
## 98                                                                       
## 99                                                                       
## 100 0.6865895                                                            
## 101 1.7542231 1.0892254                                                  
## 102 2.2360953 2.9211347 3.9535345                                        
## 103 0.3432948 1.0298843 2.0919598 1.8939967                              
## 104 0.6865895 0.0000000 1.0892254 2.9211347 1.0298843                    
## 105 0.6865895 1.3731790 2.4312539 1.5524262 0.3432948 1.3731790          
## 106 2.7463580 2.0597685 1.0819491 4.9788157 3.0896528 2.0597685 3.4329475
## 107 0.6865895 1.3731790 2.4312539 1.5524262 0.3432948 1.3731790 0.0000000
## 108 1.0892254 0.4881963 0.6865895 3.2677283 1.4191561 0.4881963 1.7542231
## 109 0.6865895 1.3731790 2.4312539 1.5524262 0.3432948 1.3731790 0.0000000
## 110 1.7467021 2.4236611 3.4329475 0.5446127 1.4117152 2.4236611 1.0819491
## 111 1.3731790 2.0597685 3.1124753 0.8733511 1.0298843 2.0597685 0.6865895
## 112 1.7164738 2.4030633 3.4538833 0.5409745 1.3731790 2.4030633 1.0298843
## 113 1.3731790 2.0597685 3.1124753 0.8733511 1.0298843 2.0597685 0.6865895
## 114 0.8733511 1.5524262 2.5823384 1.3731790 0.5409745 1.5524262 0.2413864
## 115 2.4030633 1.7164738 0.7641926 4.6357401 2.7463580 1.7164738 3.0896528
## 116 0.7241592 1.3019294 2.2360953 1.7542231 0.5409745 1.3019294 0.5446127
## 117 1.3731790 2.0597685 3.1124753 0.8733511 1.0298843 2.0597685 0.6865895
## 118 0.3432948 0.3432948 1.4191561 2.5785119 0.6865895 0.3432948 1.0298843
## 119 2.7463580 3.4329475 4.4798379 0.5446127 2.4030633 3.4329475 2.0597685
## 120 0.0000000 0.6865895 1.7542231 2.2360953 0.3432948 0.6865895 0.6865895
## 121 1.4645888 2.0115762 3.0842113 1.6897047 1.2441322 2.0115762 1.0892254
##           106       107       108       109       110       111       112
## 2                                                                        
## 3                                                                        
## 4                                                                        
## 5                                                                        
## 6                                                                        
## 7                                                                        
## 8                                                                        
## 9                                                                        
## 10                                                                       
## 11                                                                       
## 12                                                                       
## 13                                                                       
## 14                                                                       
## 15                                                                       
## 16                                                                       
## 17                                                                       
## 18                                                                       
## 19                                                                       
## 20                                                                       
## 21                                                                       
## 22                                                                       
## 23                                                                       
## 24                                                                       
## 25                                                                       
## 26                                                                       
## 27                                                                       
## 28                                                                       
## 29                                                                       
## 30                                                                       
## 31                                                                       
## 32                                                                       
## 33                                                                       
## 34                                                                       
## 35                                                                       
## 36                                                                       
## 37                                                                       
## 38                                                                       
## 39                                                                       
## 40                                                                       
## 41                                                                       
## 42                                                                       
## 43                                                                       
## 44                                                                       
## 45                                                                       
## 46                                                                       
## 47                                                                       
## 48                                                                       
## 49                                                                       
## 50                                                                       
## 51                                                                       
## 52                                                                       
## 53                                                                       
## 54                                                                       
## 55                                                                       
## 56                                                                       
## 57                                                                       
## 58                                                                       
## 59                                                                       
## 60                                                                       
## 61                                                                       
## 62                                                                       
## 63                                                                       
## 64                                                                       
## 65                                                                       
## 66                                                                       
## 67                                                                       
## 68                                                                       
## 69                                                                       
## 70                                                                       
## 71                                                                       
## 72                                                                       
## 73                                                                       
## 74                                                                       
## 75                                                                       
## 76                                                                       
## 77                                                                       
## 78                                                                       
## 79                                                                       
## 80                                                                       
## 81                                                                       
## 82                                                                       
## 83                                                                       
## 84                                                                       
## 85                                                                       
## 86                                                                       
## 87                                                                       
## 88                                                                       
## 89                                                                       
## 90                                                                       
## 91                                                                       
## 92                                                                       
## 93                                                                       
## 94                                                                       
## 95                                                                       
## 96                                                                       
## 97                                                                       
## 98                                                                       
## 99                                                                       
## 100                                                                      
## 101                                                                      
## 102                                                                      
## 103                                                                      
## 104                                                                      
## 105                                                                      
## 106                                                                      
## 107 3.4329475                                                            
## 108 1.7467021 1.7542231                                                  
## 109 3.4329475 0.0000000 1.7542231                                        
## 110 4.4721907 1.0819491 2.7463580 1.0819491                              
## 111 4.1195370 0.6865895 2.4312539 0.6865895 0.4827728                    
## 112 4.4628318 1.0298843 2.7715335 1.0298843 0.3432948 0.3432948          
## 113 4.1195370 0.6865895 2.4312539 0.6865895 0.4827728 0.0000000 0.3432948
## 114 3.6067636 0.2413864 1.8978159 0.2413864 0.8733511 0.5446127 0.8771115
## 115 0.3432948 3.0896528 1.4117152 3.0896528 4.1299928 3.7762423 4.1195370
## 116 3.2960163 0.5446127 1.5524262 0.5446127 1.2156269 1.0057881 1.3125041
## 117 4.1195370 0.6865895 2.4312539 0.6865895 0.4827728 0.0000000 0.3432948
## 118 2.4030633 1.0298843 0.7710528 1.0298843 2.0843943 1.7164738 2.0597685
## 119 5.4927160 2.0597685 3.7956317 2.0597685 1.0892254 1.3731790 1.0298843
## 120 2.7463580 0.6865895 1.0892254 0.6865895 1.7467021 1.3731790 1.7164738
## 121 3.9252461 1.0892254 2.4882643 1.0892254 1.5283853 1.0819491 1.2313686
##           113       114       115       116       117       118       119
## 2                                                                        
## 3                                                                        
## 4                                                                        
## 5                                                                        
## 6                                                                        
## 7                                                                        
## 8                                                                        
## 9                                                                        
## 10                                                                       
## 11                                                                       
## 12                                                                       
## 13                                                                       
## 14                                                                       
## 15                                                                       
## 16                                                                       
## 17                                                                       
## 18                                                                       
## 19                                                                       
## 20                                                                       
## 21                                                                       
## 22                                                                       
## 23                                                                       
## 24                                                                       
## 25                                                                       
## 26                                                                       
## 27                                                                       
## 28                                                                       
## 29                                                                       
## 30                                                                       
## 31                                                                       
## 32                                                                       
## 33                                                                       
## 34                                                                       
## 35                                                                       
## 36                                                                       
## 37                                                                       
## 38                                                                       
## 39                                                                       
## 40                                                                       
## 41                                                                       
## 42                                                                       
## 43                                                                       
## 44                                                                       
## 45                                                                       
## 46                                                                       
## 47                                                                       
## 48                                                                       
## 49                                                                       
## 50                                                                       
## 51                                                                       
## 52                                                                       
## 53                                                                       
## 54                                                                       
## 55                                                                       
## 56                                                                       
## 57                                                                       
## 58                                                                       
## 59                                                                       
## 60                                                                       
## 61                                                                       
## 62                                                                       
## 63                                                                       
## 64                                                                       
## 65                                                                       
## 66                                                                       
## 67                                                                       
## 68                                                                       
## 69                                                                       
## 70                                                                       
## 71                                                                       
## 72                                                                       
## 73                                                                       
## 74                                                                       
## 75                                                                       
## 76                                                                       
## 77                                                                       
## 78                                                                       
## 79                                                                       
## 80                                                                       
## 81                                                                       
## 82                                                                       
## 83                                                                       
## 84                                                                       
## 85                                                                       
## 86                                                                       
## 87                                                                       
## 88                                                                       
## 89                                                                       
## 90                                                                       
## 91                                                                       
## 92                                                                       
## 93                                                                       
## 94                                                                       
## 95                                                                       
## 96                                                                       
## 97                                                                       
## 98                                                                       
## 99                                                                       
## 100                                                                      
## 101                                                                      
## 102                                                                      
## 103                                                                      
## 104                                                                      
## 105                                                                      
## 106                                                                      
## 107                                                                      
## 108                                                                      
## 109                                                                      
## 110                                                                      
## 111                                                                      
## 112                                                                      
## 113                                                                      
## 114 0.5446127                                                            
## 115 3.7762423 3.2638987                                                  
## 116 1.0057881 0.4881963 2.9574228                                        
## 117 0.0000000 0.5446127 3.7762423 1.0057881                              
## 118 1.7164738 1.2118306 2.0597685 0.9959227 1.7164738                    
## 119 1.3731790 1.8978159 5.1494213 2.2956598 1.3731790 3.0896528          
## 120 1.3731790 0.8733511 2.4030633 0.7241592 1.3731790 0.3432948 2.7463580
## 121 1.0819491 1.2156269 3.5951051 1.6338381 1.0819491 1.7256530 1.9918455
##           120
## 2            
## 3            
## 4            
## 5            
## 6            
## 7            
## 8            
## 9            
## 10           
## 11           
## 12           
## 13           
## 14           
## 15           
## 16           
## 17           
## 18           
## 19           
## 20           
## 21           
## 22           
## 23           
## 24           
## 25           
## 26           
## 27           
## 28           
## 29           
## 30           
## 31           
## 32           
## 33           
## 34           
## 35           
## 36           
## 37           
## 38           
## 39           
## 40           
## 41           
## 42           
## 43           
## 44           
## 45           
## 46           
## 47           
## 48           
## 49           
## 50           
## 51           
## 52           
## 53           
## 54           
## 55           
## 56           
## 57           
## 58           
## 59           
## 60           
## 61           
## 62           
## 63           
## 64           
## 65           
## 66           
## 67           
## 68           
## 69           
## 70           
## 71           
## 72           
## 73           
## 74           
## 75           
## 76           
## 77           
## 78           
## 79           
## 80           
## 81           
## 82           
## 83           
## 84           
## 85           
## 86           
## 87           
## 88           
## 89           
## 90           
## 91           
## 92           
## 93           
## 94           
## 95           
## 96           
## 97           
## 98           
## 99           
## 100          
## 101          
## 102          
## 103          
## 104          
## 105          
## 106          
## 107          
## 108          
## 109          
## 110          
## 111          
## 112          
## 113          
## 114          
## 115          
## 116          
## 117          
## 118          
## 119          
## 120          
## 121 1.4645888
#calculate how many clusters I need
fviz_nbclust(d_scaled, kmeans, method = "wss") + #within sums squares = type of measure identifying what needs to/doesn't need to be merged
  labs(subtitle = "Elbow method") 

    #when looking at the elbow plot, you're trying to determine the however # of clusters that we need to use (aka the optimal number)
    #when looking at degree, you want to look at diminishing returns
      #so when slopes are getting closer to zero,is how many clusters you should look at

#choose number of clusters
k <- 4

# Run the cluster analysis
cluster <- kmeans(d_scaled, k)
cluster
## K-means clustering with 4 clusters of sizes 27, 26, 29, 39
## 
## Cluster means:
##    standards discrepancy
## 1  1.2887813   1.3391144
## 2 -0.3138515  -0.2996997
## 3  0.6020021   0.5153795
## 4 -1.1306414  -1.1105104
## 
## Clustering vector:
##   1   2   3   4   5   6   7   8   9  10  11  12  13  14  15  16  17  18  19  20 
##   1   2   4   4   3   4   4   4   2   1   1   2   3   4   1   4   1   2   2   2 
##  21  22  23  24  25  26  27  28  29  30  31  32  33  34  35  36  37  38  39  40 
##   1   4   2   2   3   2   1   1   3   1   3   2   3   1   1   4   2   3   3   4 
##  41  42  43  44  45  46  47  48  49  50  51  52  53  54  55  56  57  58  59  60 
##   4   3   4   2   4   3   2   2   3   4   3   3   4   4   1   3   4   2   4   2 
##  61  62  63  64  65  66  67  68  69  70  71  72  73  74  75  76  77  78  79  80 
##   4   1   3   4   1   1   1   1   1   3   3   1   3   4   1   3   2   3   3   4 
##  81  82  83  84  85  86  87  88  89  90  91  92  93  94  95  96  97  98  99 100 
##   4   2   3   2   3   4   4   3   1   3   4   1   1   4   1   2   2   3   2   3 
## 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 
##   1   4   2   3   4   1   4   3   4   4   4   4   4   4   1   2   4   2   4   2 
## 121 
##   4 
## 
## Within cluster sum of squares by cluster:
## [1]  5.677955  3.101067  3.135329 13.761864
##  (between_SS / total_SS =  89.3 %)
## 
## Available components:
## 
## [1] "cluster"      "centers"      "totss"        "withinss"     "tot.withinss"
## [6] "betweenss"    "size"         "iter"         "ifault"
#visualize the clustering alogrithim results
library(factoextra)
fviz_cluster(cluster, data = cluster_data, geom = "point", stand = FALSE, 
             ellipse.type = "t", palette = "jco", ggtheme = theme_minimal())

#OR 

plot(cluster_data, col = cluster$cluster)

# count
table(cluster$cluster)
## 
##  1  2  3  4 
## 27 26 29 39

K-means clustering was performed on a sample of first-generation professionals (FGPs) based on their scores on the Almost Perfect Scale - Short Form which contains two subscales, standards and discrepancy. Four distinct clusters were identified with different mean scores on these variables. The largest cluster (cluster 4, n = 39) had the lowest mean scores on standards (M = -1.13) and discrepancy (M = -1.11), while the second largest cluster (cluster 1, n = 37) had the highest mean scores on standards (M = 1.29) and discrepancy (M = 1.34). The other two clusters had intermediate mean scores (cluster 3, n = 29, standards M = 0.60, discrepancy M = 0.52; cluster 2, n = 26, standards M = -0.31, discrepancy M = -0.30).

library(dplyr)
library(psych)
## 
## Attaching package: 'psych'
## The following objects are masked from 'package:ggplot2':
## 
##     %+%, alpha
# Assign cluster labels to each row in the original data frame
cluster_assignments <- cbind(cluster_data, cluster = cluster$cluster)
cluster_assignments <- cluster_assignments %>% mutate(ID = row_number())

#make a dataframe of just outcome variables
outcome_data <- data.frame(d$anxiety, d$depression, d$swfw, d$wellbeing)
outcome_data <- rename(outcome_data, anxiety = d.anxiety, depression = d.depression, swfw = d.swfw, wellbeing = d.wellbeing)

outcome_data <- outcome_data %>% mutate(ID = row_number())

# Join the cluster assignments with the outcomes_data data frame by participant_id
df_merged <- left_join(cluster_assignments, outcome_data, by = "ID")
# Conduct ANOVAs for each outcome variable, comparing the means of each cluster
anova_result_anxiety <- aov(anxiety ~ cluster, data = df_merged)
anova_result_depression <- aov(depression ~ cluster, data = df_merged)
anova_result_workplace_wellbeing <- aov(swfw ~ cluster, data = df_merged)
anova_result_general_wellbeing <- aov(wellbeing ~ cluster, data = df_merged)
anova_result_standards <- aov(standards ~ cluster, data = df_merged)
anova_result_discrepancy <- aov(discrepancy ~ cluster, data = df_merged)

# Conduct Bonferroni-corrected pairwise comparisons between the clusters for each outcome variable
pairwise_anxiety <- pairwise.t.test(df_merged$anxiety, df_merged$cluster, p.adj = "bonferroni")
pairwise_depression <- pairwise.t.test(df_merged$depression, df_merged$cluster, p.adj = "bonferroni")
pairwise_workplace_wellbeing <- pairwise.t.test(df_merged$swfw , df_merged$cluster, p.adj = "bonferroni")
pairwise_general_wellbeing <- pairwise.t.test(df_merged$wellbeing , df_merged$cluster, p.adj = "bonferroni")
pairwise_standards <- pairwise.t.test(df_merged$standards, df_merged$cluster, p.adj = "bonferroni")
pairwise_discrepancy <- pairwise.t.test(df_merged$discrepancy, df_merged$cluster, p.adj = "bonferroni")

print(pairwise_anxiety)
## 
##  Pairwise comparisons using t tests with pooled SD 
## 
## data:  df_merged$anxiety and df_merged$cluster 
## 
##   1       2      3     
## 2 0.0024  -      -     
## 3 0.2394  0.5941 -     
## 4 2.3e-06 0.9871 0.0083
## 
## P value adjustment method: bonferroni
print(pairwise_depression)
## 
##  Pairwise comparisons using t tests with pooled SD 
## 
## data:  df_merged$depression and df_merged$cluster 
## 
##   1       2       3      
## 2 0.02187 -       -      
## 3 0.90866 0.68869 -      
## 4 0.00012 1.00000 0.02192
## 
## P value adjustment method: bonferroni
print(pairwise_workplace_wellbeing )
## 
##  Pairwise comparisons using t tests with pooled SD 
## 
## data:  df_merged$swfw and df_merged$cluster 
## 
##   1 2 3
## 2 1 - -
## 3 1 1 -
## 4 1 1 1
## 
## P value adjustment method: bonferroni
print(pairwise_general_wellbeing )
## 
##  Pairwise comparisons using t tests with pooled SD 
## 
## data:  df_merged$wellbeing and df_merged$cluster 
## 
##   1 2 3
## 2 1 - -
## 3 1 1 -
## 4 1 1 1
## 
## P value adjustment method: bonferroni
print(pairwise_standards)
## 
##  Pairwise comparisons using t tests with pooled SD 
## 
## data:  df_merged$standards and df_merged$cluster 
## 
##   1       2       3      
## 2 < 2e-16 -       -      
## 3 8.1e-12 < 2e-16 -      
## 4 < 2e-16 < 2e-16 < 2e-16
## 
## P value adjustment method: bonferroni
print(pairwise_discrepancy)
## 
##  Pairwise comparisons using t tests with pooled SD 
## 
## data:  df_merged$discrepancy and df_merged$cluster 
## 
##   1       2       3      
## 2 < 2e-16 -       -      
## 3 1.9e-14 5.0e-14 -      
## 4 < 2e-16 2.6e-15 < 2e-16
## 
## P value adjustment method: bonferroni
# plot a box plot 
anxiety_boxplot <- boxplot(anxiety ~ cluster, data = df_merged, 
        main = "Anxiety by Cluster", 
        xlab = "Cluster", ylab = "Anxiety")

depression_boxplot <- boxplot(depression ~ cluster, data = df_merged, 
        main = "Depression by Cluster", 
        xlab = "Cluster", ylab = "Depression")

swfw_boxplot <- boxplot(swfw ~ cluster, data = df_merged, 
        main = "Workplace Wellbeing by Cluster", 
        xlab = "Cluster", ylab = "Workplace Wellbeing")

wellbeing_boxplot <- boxplot(wellbeing ~ cluster, data = df_merged, 
        main = "Wellbeing by Cluster", 
        xlab = "Cluster", ylab = "Wellbeing")

standards_boxplot <- boxplot(standards ~ cluster, data = df_merged, 
        main = "Standards by Cluster", 
        xlab = "Cluster", ylab = "Standards")

discrepancy_boxplot <- boxplot(discrepancy ~ cluster, data = df_merged, 
        main = "Discrepancy by Cluster", 
        xlab = "Cluster", ylab = "Discrepancy")

A one-way analysis of variance (ANOVA) was conducted to determine whether there were significant differences between FGP profiles on the outcome variable: anxiety, depression, workplace wellbeing, and general wellbeing. For the first analysis, the main effect of cluster was significant, F(1, 118) = 20.16, p = 0.0000167, indicating that there were significant differences between FGP profiles on anxiety. For the second analysis, the main effect of cluster was also significant, F(1, 119) = 13.74, p = 0.00032, indicating that there were significant differences between FGP profiles on depression. For the third analysis, the main effect of cluster was not significant, F(1, 117) = 1.158, p = 0.284, indicating that there were no significant differences between FGPs on workplace wellbeing.For the fourth analysis, the main effect of cluster was also not significant, F(1, 119) = 0.146, p = 0.703, indicating that there were no significant differences between FGPs on general wellbeing.

The output shows the pairwise comparisons using t-tests with pooled standard deviations between the variables anxiety, depression, self-worth, well-being, standards, and discrepancy, and the variable cluster. The values in the table are the p-values of the pairwise comparisons between the clusters. The values that are less than the significance level (usually 0.05) indicate that there is a significant difference between the clusters for that particular variable.

For anxiety, the table shows that there is a significant difference between cluster 1 and cluster 2 (p = 0.0024), and between cluster 1 and cluster 4 (p = 0.0000023). However, there is no significant difference between cluster 1 and cluster 3, and between cluster 2 and cluster 3.

For depression, the table shows that there is a significant difference between cluster 1 and cluster 4 (p = 0.00012). However, there is no significant difference between cluster 1 and cluster 2, cluster 1 and cluster 3, and cluster 2 and cluster 3.

For standards and discrepancy, the table shows that there is a significant difference between all the clusters for both variables (p < 0.05).

Overall, the results suggest that there are significant differences between the clusters for most of the variables, except for depression, which only shows a significant difference between cluster 1 and cluster 4.

Linear Regression

# Conducting linear regression analysis
anxiety_lm <- lm(anxiety ~ cluster, data = df_merged)
summary(anxiety_lm)
## 
## Call:
## lm(formula = anxiety ~ cluster, data = df_merged)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -1.2938 -0.4818 -0.1151  0.4436  2.2054 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  2.54338    0.16168   15.73  < 2e-16 ***
## cluster     -0.24958    0.05559   -4.49 1.67e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.6951 on 118 degrees of freedom
##   (1 observation deleted due to missingness)
## Multiple R-squared:  0.1459, Adjusted R-squared:  0.1387 
## F-statistic: 20.16 on 1 and 118 DF,  p-value: 1.672e-05
depression_lm <- lm(depression ~ cluster, data = df_merged)
summary(depression_lm)
## 
## Call:
## lm(formula = depression ~ cluster, data = df_merged)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -1.1145 -0.4445 -0.1145  0.3697  1.6997 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  2.30160    0.14626  15.736  < 2e-16 ***
## cluster     -0.18709    0.05047  -3.707  0.00032 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.6367 on 119 degrees of freedom
## Multiple R-squared:  0.1035, Adjusted R-squared:  0.09597 
## F-statistic: 13.74 on 1 and 119 DF,  p-value: 0.0003202
workplace_wellbeing_lm <- lm(swfw ~ cluster, data = df_merged)
summary(workplace_wellbeing_lm)
## 
## Call:
## lm(formula = swfw ~ cluster, data = df_merged)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -2.0967 -0.5374  0.0505  0.6233  1.5762 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  4.94813    0.19462  25.425   <2e-16 ***
## cluster      0.07284    0.06768   1.076    0.284    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.8439 on 117 degrees of freedom
##   (2 observations deleted due to missingness)
## Multiple R-squared:  0.009804,   Adjusted R-squared:  0.001341 
## F-statistic: 1.158 on 1 and 117 DF,  p-value: 0.284
general_wellbeing_lm <- lm(wellbeing ~ cluster, data = df_merged)
summary(general_wellbeing_lm)
## 
## Call:
## lm(formula = wellbeing ~ cluster, data = df_merged)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -2.05724 -0.60260 -0.02992  0.59740  3.02472 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  2.94795    0.20698  14.243   <2e-16 ***
## cluster      0.02732    0.07143   0.383    0.703    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.901 on 119 degrees of freedom
## Multiple R-squared:  0.001228,   Adjusted R-squared:  -0.007165 
## F-statistic: 0.1463 on 1 and 119 DF,  p-value: 0.7028
library(ggplot2)

# Plot for anxiety_lm
p1 <- ggplot(df_merged, aes(x = cluster, y = anxiety)) +
  geom_point() +
  geom_smooth(method = "lm", se = FALSE, color = "red") +
  labs(title = "Anxiety vs Cluster")

# Plot for depression_lm
p2 <- ggplot(df_merged, aes(x = cluster, y = depression)) +
  geom_point() +
  geom_smooth(method = "lm", se = FALSE, color = "blue") +
  labs(title = "Depression vs Cluster")

# Plot for workplace_wellbeing_lm
p3 <- ggplot(df_merged, aes(x = cluster, y = swfw)) +
  geom_point() +
  geom_smooth(method = "lm", se = FALSE, color = "green") +
  labs(title = "Workplace Wellbeing vs Cluster")

# Plot for general_wellbeing_lm
p4 <- ggplot(df_merged, aes(x = cluster, y = wellbeing)) +
  geom_point() +
  geom_smooth(method = "lm", se = FALSE, color = "purple") +
  labs(title = "General Wellbeing vs Cluster")

# Arrange the plots in a 2x2 grid using `patchwork` library
library(patchwork)
p1 + p2 + plot_layout(ncol = 2)
## `geom_smooth()` using formula 'y ~ x'
## Warning: Removed 1 rows containing non-finite values (stat_smooth).
## Warning: Removed 1 rows containing missing values (geom_point).
## `geom_smooth()` using formula 'y ~ x'

Linear regression analysis was conducted to investigate the relationship between anxiety, depression, workplace well-being, generall wellbeing, and cluster membership. The results showed a significant negative relationship between anxiety and cluster membership (β = -0.25, t(118) = -4.49, p < 0.001). There was also a significant negative relationship between depression and cluster membership (β = -0.19, t(119) = -3.71, p = 0.0003). However, no significant relationship was found between workplace well-being and cluster membership (β = 0.07, t(117) = 1.08, p = 0.284). There was also no significant relationship between general well-being and cluster membership (β = 0.03, t(119) = 0.38, p = 0.703). The coefficients of determination (R2) indicated that cluster membership accounted for 14.6% and 10.4% of the variance in anxiety and depression scores, respectively. These results suggest that individuals in different clusters may experience different levels of anxiety and depression. However, cluster membership may not be a strong predictor of workplace and general well-being.