Introduction

This report summarizes the analysis workflow and results of an analysis of SNPs from the 1000 Genomes Project.

Data preparation

Obtaining and loading data

Single Nucleotide Polymorphism (SNPs) data in VCF format were obtained from the 1000 Genomes Project.

SNPs were downloaded using the Ensembl Data Slicer from chromosome 19 between genomic coordinates 33295942 and 33535942. This represents 100% of the chromosome. A total of 7774 variants genotyped in 2504 individuals were downloaded.

The VCF file was loaded into R using the vcfR package (function read.vcfR) and converted to counts of the minor allele using the function vcfR::extract.gt().

Data subsetting

Meta-data and sample information

The 1000 genomes data is data collected from individuals from the US, UK, China, and Germany of human genomic variation. The chromosome this analysis was performed on was chromosome 19, which provides instructions for making proteins in the body. These proteins then perform many different roles in the body.

Data cleaning

These SNPs were then screened for any SNPs that were invariant (fixed), resulting in removal of 1860 SNPs (features). This was done using the invar_omit() function by Rohini Saran.

NOTE: The original workflow code for removing invariant SNPs contained and error that resulted in no columns actually being removed (Brouwer, personal communication). The code was updated and a reduction in the size of the dataframe after omitting invariant columns confirmed by checking the dimensions of the dataframes before and after this process using dim().

The data were then screened for rows (people) with >50% NAs. There were 1860 invariant columns in the data, so no rows were removed due to the presence of excessive NAs. Mean imputation replaced these invariants.

The data were then centered and scaled using R’s scale() function. (Alternatively a SNP-specific centering technique common in other studies could have been applied).

The data were then saved in .csv format using write.csv() for PCA analysis.

After final processing the data contained 7774 SNPS and 2504 samples (people).

Data Analysis

The code below carries out a PCA on the data and presents the results. The key steps are:

  1. Load the data with read.csv().
  2. Process the data with prcomp().
  3. Extract PCA scores.
  4. Carry out PCA diagnostics, including construction of a scree plot.
  5. Plot PCs 1 through 3 as scatterplots as pairwise scatterplot.
  6. Plots PCS 1 through 3 as a 3D scatterplot.

Packages

The following packages were used in this analysis:

# plotting:
library(ggplot2)
library(ggpubr)

# scores() function
library(vegan)
## Loading required package: permute
## Loading required package: lattice
## This is vegan 2.6-4
# 3D scatter plot
library(scatterplot3d)

Loading data

Load the fully processed data:

NOTE: With 7774 SNPs, this CSV is ~365.1 megabytes. There are more specialized packages for doing PCA with datasets this big. I do not recommend working with more than 10,000 SNPs with basic R functions as we have done in class.

vcf_scaled <- read.csv(file = "vcf_scaled.csv")

Check the dimensions of the data to confirm this is the correct data:

dim(vcf_scaled)
## [1] 2504 7775

Principal Components Analysis

There are 7774 columns of character data.

The data are scaled and ready for analysis. Only the very first column contains character data and needs to be omitted.

head(vcf_scaled[,1:10])
##   X  sample pop super_pop    sex      lat       lng          X1        X2
## 1 1 HG00096 GBR       EUR   male 52.48624 -1.890401 -0.01998402 -0.354752
## 2 2 HG00097 GBR       EUR female 52.48624 -1.890401 -0.01998402 -0.354752
## 3 3 HG00099 GBR       EUR female 52.48624 -1.890401 -0.01998402 -0.354752
## 4 4 HG00100 GBR       EUR female 52.48624 -1.890401 -0.01998402 -0.354752
## 5 5 HG00101 GBR       EUR   male 52.48624 -1.890401 -0.01998402 -0.354752
## 6 6 HG00102 GBR       EUR female 52.48624 -1.890401 -0.01998402 -0.354752
##            X3
## 1 -0.01998402
## 2 -0.01998402
## 3 -0.01998402
## 4 -0.01998402
## 5 -0.01998402
## 6 -0.01998402

PCA

Principal Components Analysis was run using prcomp().

vcf_pca <- prcomp(vcf_scaled[, -c(1:6)])

Get the PCA scores, which will be plotted.:

vcf_pca_scores  <- vegan::scores(vcf_pca) 

Combine the scores with the sample information into a dataframe.

# call data.frame()
vcf_pca_scores2 <- data.frame(super_pop = vcf_scaled$super_pop, vcf_pca_scores)

# set as a factor
vcf_scaled$super_pop <- factor(vcf_scaled$super_pop)

PCA diagnostics

The following steps help us understand the PCA output and determine how many PCs should be plotted and/or used in further analyses such as scans for natural selection, cluster analysis, and GWAS.

Default scree plot

A default R scree plot was created with screeplot(). This plot does not provide extra information for assessing the importance of the PCs.

screeplot(vcf_pca, 
          xlab = "Principal Components")

Advanced scree plot

The original workflow and function for making a more advanced scree plot lacked flexibility (Brouwer, personal communication). The following function and workflow simplifies things

  1. Run PC (done above)
  2. Call function PCA_variation() (below) on PCA output.
  3. (Do NOT call summary() on PCA output)
  4. Call function screeplot_snps() on the output of PCA_variation() to make an advanced scree plot
  5. Call function PCA_cumulative_var_plot() to show the cumulative variation explained as more PCs are considered
NEW Functions
PCA_variation() function

This function extracts information needed to make a more advanced, annotated scree plot.

# This is a NEW function
PCA_variation <- function(pca){
  
  # get summary information from PCA
  pca_summary <- summary(pca)
  
  # extract information from summary
  ## raw variance for each PC
  variance <- pca_summary$importance[1,]
  
  ## % variance explained by each PC
  var_explained <- pca_summary$importance[2,]*100
  var_explained <- round(var_explained,3)
  
  ## cumulative % variance  
  var_cumulative <- pca_summary$importance[3,]*100
  var_cumulative <- round(var_cumulative,3)
  
  # prepare output
  N.PCs <- length(var_explained)
  var_df <- data.frame(PC = 1:N.PCs,
            var_raw  = variance,
            var_percent = var_explained, 
            cumulative_percent = var_cumulative)
  
  # return output
  return(var_df)   
}
screeplot_snps() function

This functions makes a more advanced scree plot better suited for PCS on for SNPs.

# This is a NEW function
screeplot_snps <- function(var_df){
total_var <- sum(var_df$var_raw)
N <- length(var_df$var_raw)
var_cutoff <- total_var/N
var_cut_percent <- var_cutoff/total_var*100
var_cut_percent_rnd <- round(var_cut_percent,2)
i_above_cut <- which(var_df$var_percent > var_cut_percent)
i_cut <- max(i_above_cut) 
ti <- paste0("Cutoff = ",
            var_cut_percent_rnd,
            "%\n","Useful PCs = ",i_cut)
plot(var_df$var_percent,
        main =ti, type = "l",
     xlab = "PC",
     ylab = "Percent variation",
     col = 0)

segments(x0 = var_df$PC,
         x1 = var_df$PC,
         y0 = 0, 
         y1 = var_df$var_percent,
         col = 1)


segments(x0 = 0,
         x1 = N,
         y0 = var_cut_percent, 
         y1 = var_cut_percent,
         col = 2)

}
PCA_cumulative_var_plot() function

This makes a plot complementary to a scree plot. A scree plot plots the amount of variation explained by each PC. This plot plots a curve of cumulative amount of variation explained by the PCs.

# This is a NEW function
PCA_cumulative_var_plot <- function(var_df){
  plot(cumulative_percent ~ PC, 
       data = var_out,
       main = "Cumulative percent variation\n explained by PCs",
       xlab = "PC",
       ylab = "Cumulative %",
       type = "l")
  
  total_var <- sum(var_df$var_raw)
N <- length(var_df$var_raw)
var_cutoff <- total_var/N
var_cut_percent <- var_cutoff/total_var*100
var_cut_percent_rnd <- round(var_cut_percent,2)
i_above_cut <- which(var_df$var_percent > var_cut_percent)
i_cut <- max(i_above_cut) 

percent_cut_i <- which(var_out$PC == i_cut )
percent_cut <- var_out$cumulative_percent[percent_cut_i]
segments(x0 = i_cut,
         x1 = i_cut,
         y0 = 0, 
         y1 = 100,
         col = 2)

segments(x0 = -10,
         x1 = N,
         y0 = percent_cut, 
         y1 = percent_cut,
         col = 2)

}
Advanced screeplot analysis
Extract information

Extract information on the variance explained by each PC.

var_out <- PCA_variation(vcf_pca)

Look at the output of PCA_variation()

head(var_out)
##     PC  var_raw var_percent cumulative_percent
## PC1  1 74.11938      41.504             41.504
## PC2  2 16.09172       1.956             43.460
## PC3  3 13.10698       1.298             44.758
## PC4  4 11.15789       0.941             45.698
## PC5  5 10.90490       0.898             46.597
## PC6  6 10.74456       0.872             47.469
Advanced screeplot

This advanced scree plot shows the amount of variation explained by all PCs. It marks with a horizontal line what the cutoff is for the amount of Percent variation explained that is useful, and a vertical line for where that line interacts the curve of the scree plot. The title indicates the percentage value of the cutoff and which PC is the last PC below that value. Though only the first few PCs can be plotted, PCs below the cut off value (“useful PCs) should probably used for further machine learning algorithms.

Make the scree plot with screeplot_snps()

screeplot_snps(var_out)

Cumulative variation plot

The cumulative variation plot shows how much variation in the data explained in total as more and more PCs are considered. The vertical red line shows the cutoff value from the scree plot (above). The horizontal line indicates what the total percentage of variation explained by these useful PCs is.

Make cumulative variation plot with PCA_cumulative_var_plot()

PCA_cumulative_var_plot(var_out)

PCA Scatterplots

The object created above var_out indicates how much variation is explained by each of the Principal components. This information is often added to the axes of scatterplots of PCA output.

head(var_out)
##     PC  var_raw var_percent cumulative_percent
## PC1  1 74.11938      41.504             41.504
## PC2  2 16.09172       1.956             43.460
## PC3  3 13.10698       1.298             44.758
## PC4  4 11.15789       0.941             45.698
## PC5  5 10.90490       0.898             46.597
## PC6  6 10.74456       0.872             47.469
var_out
##          PC      var_raw var_percent cumulative_percent
## PC1       1 7.411938e+01      41.504             41.504
## PC2       2 1.609172e+01       1.956             43.460
## PC3       3 1.310698e+01       1.298             44.758
## PC4       4 1.115789e+01       0.941             45.698
## PC5       5 1.090490e+01       0.898             46.597
## PC6       6 1.074456e+01       0.872             47.469
## PC7       7 1.040514e+01       0.818             48.287
## PC8       8 9.620255e+00       0.699             48.986
## PC9       9 9.002236e+00       0.612             49.598
## PC10     10 8.702535e+00       0.572             50.170
## PC11     11 8.538903e+00       0.551             50.721
## PC12     12 8.265160e+00       0.516             51.237
## PC13     13 8.114282e+00       0.497             51.735
## PC14     14 7.998301e+00       0.483             52.218
## PC15     15 7.822571e+00       0.462             52.680
## PC16     16 7.577794e+00       0.434             53.114
## PC17     17 7.424951e+00       0.416             53.531
## PC18     18 7.267785e+00       0.399             53.930
## PC19     19 7.120713e+00       0.383             54.313
## PC20     20 7.024653e+00       0.373             54.686
## PC21     21 6.913396e+00       0.361             55.047
## PC22     22 6.631099e+00       0.332             55.379
## PC23     23 6.546185e+00       0.324             55.703
## PC24     24 6.250313e+00       0.295             55.998
## PC25     25 6.171422e+00       0.288             56.285
## PC26     26 6.110952e+00       0.282             56.568
## PC27     27 5.963470e+00       0.269             56.836
## PC28     28 5.851175e+00       0.259             57.095
## PC29     29 5.782543e+00       0.253             57.348
## PC30     30 5.722496e+00       0.247             57.595
## PC31     31 5.601313e+00       0.237             57.832
## PC32     32 5.474229e+00       0.226             58.058
## PC33     33 5.383237e+00       0.219             58.277
## PC34     34 5.326142e+00       0.214             58.492
## PC35     35 5.299025e+00       0.212             58.704
## PC36     36 5.281991e+00       0.211             58.915
## PC37     37 5.194007e+00       0.204             59.118
## PC38     38 5.080717e+00       0.195             59.313
## PC39     39 5.036206e+00       0.192             59.505
## PC40     40 4.930185e+00       0.184             59.689
## PC41     41 4.863812e+00       0.179             59.867
## PC42     42 4.776811e+00       0.172             60.040
## PC43     43 4.740292e+00       0.170             60.209
## PC44     44 4.703288e+00       0.167             60.377
## PC45     45 4.546021e+00       0.156             60.533
## PC46     46 4.468473e+00       0.151             60.684
## PC47     47 4.441444e+00       0.149             60.833
## PC48     48 4.362296e+00       0.144             60.976
## PC49     49 4.266047e+00       0.137             61.114
## PC50     50 4.220702e+00       0.135             61.248
## PC51     51 4.204703e+00       0.134             61.382
## PC52     52 4.143783e+00       0.130             61.512
## PC53     53 4.097804e+00       0.127             61.639
## PC54     54 4.043214e+00       0.124             61.762
## PC55     55 4.029033e+00       0.123             61.885
## PC56     56 4.009347e+00       0.121             62.006
## PC57     57 3.994086e+00       0.121             62.127
## PC58     58 3.989596e+00       0.120             62.247
## PC59     59 3.915275e+00       0.116             62.363
## PC60     60 3.860482e+00       0.113             62.475
## PC61     61 3.854466e+00       0.112             62.588
## PC62     62 3.814998e+00       0.110             62.698
## PC63     63 3.776304e+00       0.108             62.805
## PC64     64 3.746477e+00       0.106             62.911
## PC65     65 3.738243e+00       0.106             63.017
## PC66     66 3.714595e+00       0.104             63.121
## PC67     67 3.694729e+00       0.103             63.224
## PC68     68 3.683468e+00       0.103             63.327
## PC69     69 3.652560e+00       0.101             63.428
## PC70     70 3.636871e+00       0.100             63.527
## PC71     71 3.631392e+00       0.100             63.627
## PC72     72 3.604041e+00       0.098             63.725
## PC73     73 3.583719e+00       0.097             63.822
## PC74     74 3.555377e+00       0.095             63.918
## PC75     75 3.534618e+00       0.094             64.012
## PC76     76 3.499262e+00       0.093             64.105
## PC77     77 3.492764e+00       0.092             64.197
## PC78     78 3.462646e+00       0.091             64.287
## PC79     79 3.447906e+00       0.090             64.377
## PC80     80 3.415394e+00       0.088             64.465
## PC81     81 3.402099e+00       0.087             64.553
## PC82     82 3.399121e+00       0.087             64.640
## PC83     83 3.386372e+00       0.087             64.727
## PC84     84 3.377323e+00       0.086             64.813
## PC85     85 3.371023e+00       0.086             64.899
## PC86     86 3.353247e+00       0.085             64.984
## PC87     87 3.342452e+00       0.084             65.068
## PC88     88 3.335696e+00       0.084             65.152
## PC89     89 3.321521e+00       0.083             65.235
## PC90     90 3.309759e+00       0.083             65.318
## PC91     91 3.305106e+00       0.083             65.401
## PC92     92 3.292836e+00       0.082             65.483
## PC93     93 3.275527e+00       0.081             65.564
## PC94     94 3.259738e+00       0.080             65.644
## PC95     95 3.254134e+00       0.080             65.724
## PC96     96 3.237572e+00       0.079             65.803
## PC97     97 3.226337e+00       0.079             65.882
## PC98     98 3.223486e+00       0.079             65.960
## PC99     99 3.216299e+00       0.078             66.038
## PC100   100 3.204380e+00       0.078             66.116
## PC101   101 3.194335e+00       0.077             66.193
## PC102   102 3.191114e+00       0.077             66.270
## PC103   103 3.174705e+00       0.076             66.346
## PC104   104 3.173921e+00       0.076             66.422
## PC105   105 3.166306e+00       0.076             66.498
## PC106   106 3.145184e+00       0.075             66.573
## PC107   107 3.143030e+00       0.075             66.647
## PC108   108 3.138330e+00       0.074             66.722
## PC109   109 3.117444e+00       0.073             66.795
## PC110   110 3.110165e+00       0.073             66.868
## PC111   111 3.105116e+00       0.073             66.941
## PC112   112 3.085070e+00       0.072             67.013
## PC113   113 3.071271e+00       0.071             67.084
## PC114   114 3.065961e+00       0.071             67.155
## PC115   115 3.062212e+00       0.071             67.226
## PC116   116 3.048250e+00       0.070             67.296
## PC117   117 3.044794e+00       0.070             67.366
## PC118   118 3.035814e+00       0.070             67.436
## PC119   119 3.017274e+00       0.069             67.505
## PC120   120 3.006485e+00       0.068             67.573
## PC121   121 3.000944e+00       0.068             67.641
## PC122   122 2.990149e+00       0.068             67.709
## PC123   123 2.981768e+00       0.067             67.776
## PC124   124 2.970580e+00       0.067             67.843
## PC125   125 2.959351e+00       0.066             67.909
## PC126   126 2.959195e+00       0.066             67.975
## PC127   127 2.947899e+00       0.066             68.041
## PC128   128 2.946511e+00       0.066             68.106
## PC129   129 2.940650e+00       0.065             68.171
## PC130   130 2.927380e+00       0.065             68.236
## PC131   131 2.921601e+00       0.064             68.301
## PC132   132 2.916395e+00       0.064             68.365
## PC133   133 2.906578e+00       0.064             68.429
## PC134   134 2.897801e+00       0.063             68.492
## PC135   135 2.896341e+00       0.063             68.556
## PC136   136 2.890250e+00       0.063             68.619
## PC137   137 2.886202e+00       0.063             68.682
## PC138   138 2.883822e+00       0.063             68.744
## PC139   139 2.877819e+00       0.063             68.807
## PC140   140 2.873314e+00       0.062             68.869
## PC141   141 2.865102e+00       0.062             68.931
## PC142   142 2.861233e+00       0.062             68.993
## PC143   143 2.856218e+00       0.062             69.055
## PC144   144 2.848253e+00       0.061             69.116
## PC145   145 2.844964e+00       0.061             69.177
## PC146   146 2.842632e+00       0.061             69.238
## PC147   147 2.834195e+00       0.061             69.299
## PC148   148 2.827552e+00       0.060             69.359
## PC149   149 2.820832e+00       0.060             69.420
## PC150   150 2.819930e+00       0.060             69.480
## PC151   151 2.814329e+00       0.060             69.539
## PC152   152 2.809586e+00       0.060             69.599
## PC153   153 2.806573e+00       0.060             69.659
## PC154   154 2.802815e+00       0.059             69.718
## PC155   155 2.796029e+00       0.059             69.777
## PC156   156 2.789929e+00       0.059             69.836
## PC157   157 2.785257e+00       0.059             69.894
## PC158   158 2.776943e+00       0.058             69.953
## PC159   159 2.771995e+00       0.058             70.011
## PC160   160 2.770390e+00       0.058             70.069
## PC161   161 2.764406e+00       0.058             70.126
## PC162   162 2.760806e+00       0.058             70.184
## PC163   163 2.752943e+00       0.057             70.241
## PC164   164 2.749345e+00       0.057             70.298
## PC165   165 2.745933e+00       0.057             70.355
## PC166   166 2.741680e+00       0.057             70.412
## PC167   167 2.737720e+00       0.057             70.469
## PC168   168 2.733385e+00       0.056             70.525
## PC169   169 2.730566e+00       0.056             70.582
## PC170   170 2.720555e+00       0.056             70.637
## PC171   171 2.709111e+00       0.055             70.693
## PC172   172 2.707946e+00       0.055             70.748
## PC173   173 2.705907e+00       0.055             70.804
## PC174   174 2.702871e+00       0.055             70.859
## PC175   175 2.698288e+00       0.055             70.914
## PC176   176 2.696822e+00       0.055             70.969
## PC177   177 2.690020e+00       0.055             71.023
## PC178   178 2.686131e+00       0.055             71.078
## PC179   179 2.682859e+00       0.054             71.132
## PC180   180 2.681054e+00       0.054             71.187
## PC181   181 2.679122e+00       0.054             71.241
## PC182   182 2.671679e+00       0.054             71.295
## PC183   183 2.670817e+00       0.054             71.349
## PC184   184 2.669086e+00       0.054             71.402
## PC185   185 2.662424e+00       0.054             71.456
## PC186   186 2.661163e+00       0.054             71.510
## PC187   187 2.658437e+00       0.053             71.563
## PC188   188 2.655822e+00       0.053             71.616
## PC189   189 2.649458e+00       0.053             71.669
## PC190   190 2.647767e+00       0.053             71.722
## PC191   191 2.641512e+00       0.053             71.775
## PC192   192 2.638831e+00       0.053             71.828
## PC193   193 2.632926e+00       0.052             71.880
## PC194   194 2.628910e+00       0.052             71.932
## PC195   195 2.626796e+00       0.052             71.984
## PC196   196 2.621956e+00       0.052             72.036
## PC197   197 2.621179e+00       0.052             72.088
## PC198   198 2.613000e+00       0.052             72.140
## PC199   199 2.610706e+00       0.051             72.191
## PC200   200 2.607106e+00       0.051             72.243
## PC201   201 2.605006e+00       0.051             72.294
## PC202   202 2.603415e+00       0.051             72.345
## PC203   203 2.601278e+00       0.051             72.396
## PC204   204 2.596275e+00       0.051             72.447
## PC205   205 2.591449e+00       0.051             72.498
## PC206   206 2.588908e+00       0.051             72.548
## PC207   207 2.588214e+00       0.051             72.599
## PC208   208 2.583230e+00       0.050             72.649
## PC209   209 2.574559e+00       0.050             72.700
## PC210   210 2.572108e+00       0.050             72.749
## PC211   211 2.567109e+00       0.050             72.799
## PC212   212 2.561682e+00       0.050             72.849
## PC213   213 2.558056e+00       0.049             72.898
## PC214   214 2.556099e+00       0.049             72.948
## PC215   215 2.551172e+00       0.049             72.997
## PC216   216 2.547927e+00       0.049             73.046
## PC217   217 2.545812e+00       0.049             73.095
## PC218   218 2.539381e+00       0.049             73.144
## PC219   219 2.533562e+00       0.048             73.192
## PC220   220 2.532675e+00       0.048             73.240
## PC221   221 2.523609e+00       0.048             73.289
## PC222   222 2.521957e+00       0.048             73.337
## PC223   223 2.517436e+00       0.048             73.385
## PC224   224 2.513933e+00       0.048             73.432
## PC225   225 2.509478e+00       0.048             73.480
## PC226   226 2.504052e+00       0.047             73.527
## PC227   227 2.502958e+00       0.047             73.575
## PC228   228 2.497072e+00       0.047             73.622
## PC229   229 2.493236e+00       0.047             73.669
## PC230   230 2.490761e+00       0.047             73.716
## PC231   231 2.488617e+00       0.047             73.762
## PC232   232 2.485573e+00       0.047             73.809
## PC233   233 2.482339e+00       0.047             73.856
## PC234   234 2.478259e+00       0.046             73.902
## PC235   235 2.475595e+00       0.046             73.948
## PC236   236 2.473804e+00       0.046             73.994
## PC237   237 2.471200e+00       0.046             74.041
## PC238   238 2.466201e+00       0.046             74.087
## PC239   239 2.463436e+00       0.046             74.132
## PC240   240 2.461372e+00       0.046             74.178
## PC241   241 2.460170e+00       0.046             74.224
## PC242   242 2.457775e+00       0.046             74.270
## PC243   243 2.456139e+00       0.046             74.315
## PC244   244 2.454112e+00       0.045             74.361
## PC245   245 2.452204e+00       0.045             74.406
## PC246   246 2.450448e+00       0.045             74.451
## PC247   247 2.444208e+00       0.045             74.497
## PC248   248 2.442650e+00       0.045             74.542
## PC249   249 2.440980e+00       0.045             74.587
## PC250   250 2.439401e+00       0.045             74.632
## PC251   251 2.434711e+00       0.045             74.676
## PC252   252 2.432207e+00       0.045             74.721
## PC253   253 2.430382e+00       0.045             74.766
## PC254   254 2.428555e+00       0.045             74.810
## PC255   255 2.426709e+00       0.044             74.855
## PC256   256 2.426306e+00       0.044             74.899
## PC257   257 2.422335e+00       0.044             74.944
## PC258   258 2.420365e+00       0.044             74.988
## PC259   259 2.417337e+00       0.044             75.032
## PC260   260 2.413811e+00       0.044             75.076
## PC261   261 2.412509e+00       0.044             75.120
## PC262   262 2.407960e+00       0.044             75.164
## PC263   263 2.403558e+00       0.044             75.207
## PC264   264 2.401044e+00       0.044             75.251
## PC265   265 2.397055e+00       0.043             75.294
## PC266   266 2.394476e+00       0.043             75.338
## PC267   267 2.391054e+00       0.043             75.381
## PC268   268 2.390500e+00       0.043             75.424
## PC269   269 2.387760e+00       0.043             75.467
## PC270   270 2.386296e+00       0.043             75.510
## PC271   271 2.384585e+00       0.043             75.553
## PC272   272 2.383143e+00       0.043             75.596
## PC273   273 2.379239e+00       0.043             75.639
## PC274   274 2.374078e+00       0.043             75.681
## PC275   275 2.371421e+00       0.042             75.724
## PC276   276 2.369796e+00       0.042             75.766
## PC277   277 2.367730e+00       0.042             75.809
## PC278   278 2.365280e+00       0.042             75.851
## PC279   279 2.363242e+00       0.042             75.893
## PC280   280 2.359083e+00       0.042             75.935
## PC281   281 2.355663e+00       0.042             75.977
## PC282   282 2.349420e+00       0.042             76.019
## PC283   283 2.346355e+00       0.042             76.060
## PC284   284 2.343976e+00       0.042             76.102
## PC285   285 2.340582e+00       0.041             76.143
## PC286   286 2.333861e+00       0.041             76.184
## PC287   287 2.331582e+00       0.041             76.225
## PC288   288 2.329482e+00       0.041             76.266
## PC289   289 2.323602e+00       0.041             76.307
## PC290   290 2.321814e+00       0.041             76.348
## PC291   291 2.318839e+00       0.041             76.389
## PC292   292 2.315576e+00       0.041             76.429
## PC293   293 2.312448e+00       0.040             76.469
## PC294   294 2.305421e+00       0.040             76.510
## PC295   295 2.303011e+00       0.040             76.550
## PC296   296 2.301890e+00       0.040             76.590
## PC297   297 2.298525e+00       0.040             76.630
## PC298   298 2.298134e+00       0.040             76.670
## PC299   299 2.295192e+00       0.040             76.709
## PC300   300 2.294916e+00       0.040             76.749
## PC301   301 2.292279e+00       0.040             76.789
## PC302   302 2.290170e+00       0.040             76.828
## PC303   303 2.288972e+00       0.040             76.868
## PC304   304 2.285905e+00       0.039             76.907
## PC305   305 2.283900e+00       0.039             76.947
## PC306   306 2.280939e+00       0.039             76.986
## PC307   307 2.277674e+00       0.039             77.025
## PC308   308 2.276315e+00       0.039             77.065
## PC309   309 2.276231e+00       0.039             77.104
## PC310   310 2.273970e+00       0.039             77.143
## PC311   311 2.271078e+00       0.039             77.182
## PC312   312 2.268656e+00       0.039             77.221
## PC313   313 2.266343e+00       0.039             77.259
## PC314   314 2.262924e+00       0.039             77.298
## PC315   315 2.262201e+00       0.039             77.337
## PC316   316 2.261007e+00       0.039             77.375
## PC317   317 2.259443e+00       0.039             77.414
## PC318   318 2.256989e+00       0.038             77.452
## PC319   319 2.255055e+00       0.038             77.491
## PC320   320 2.253301e+00       0.038             77.529
## PC321   321 2.249768e+00       0.038             77.567
## PC322   322 2.249320e+00       0.038             77.606
## PC323   323 2.248574e+00       0.038             77.644
## PC324   324 2.246258e+00       0.038             77.682
## PC325   325 2.243135e+00       0.038             77.720
## PC326   326 2.241669e+00       0.038             77.758
## PC327   327 2.240084e+00       0.038             77.796
## PC328   328 2.238062e+00       0.038             77.834
## PC329   329 2.237841e+00       0.038             77.872
## PC330   330 2.237281e+00       0.038             77.909
## PC331   331 2.236193e+00       0.038             77.947
## PC332   332 2.233295e+00       0.038             77.985
## PC333   333 2.231138e+00       0.038             78.022
## PC334   334 2.227805e+00       0.037             78.060
## PC335   335 2.225630e+00       0.037             78.097
## PC336   336 2.223896e+00       0.037             78.135
## PC337   337 2.222060e+00       0.037             78.172
## PC338   338 2.219773e+00       0.037             78.209
## PC339   339 2.218850e+00       0.037             78.246
## PC340   340 2.217100e+00       0.037             78.284
## PC341   341 2.215612e+00       0.037             78.321
## PC342   342 2.214432e+00       0.037             78.358
## PC343   343 2.212752e+00       0.037             78.395
## PC344   344 2.212272e+00       0.037             78.432
## PC345   345 2.210522e+00       0.037             78.469
## PC346   346 2.208326e+00       0.037             78.505
## PC347   347 2.206779e+00       0.037             78.542
## PC348   348 2.206066e+00       0.037             78.579
## PC349   349 2.203244e+00       0.037             78.616
## PC350   350 2.200622e+00       0.037             78.652
## PC351   351 2.199862e+00       0.037             78.689
## PC352   352 2.195939e+00       0.036             78.725
## PC353   353 2.195094e+00       0.036             78.762
## PC354   354 2.191992e+00       0.036             78.798
## PC355   355 2.189372e+00       0.036             78.834
## PC356   356 2.189074e+00       0.036             78.870
## PC357   357 2.185565e+00       0.036             78.906
## PC358   358 2.184004e+00       0.036             78.942
## PC359   359 2.183004e+00       0.036             78.978
## PC360   360 2.178276e+00       0.036             79.014
## PC361   361 2.177731e+00       0.036             79.050
## PC362   362 2.175229e+00       0.036             79.086
## PC363   363 2.174472e+00       0.036             79.122
## PC364   364 2.169990e+00       0.036             79.157
## PC365   365 2.169133e+00       0.036             79.193
## PC366   366 2.167674e+00       0.035             79.228
## PC367   367 2.164249e+00       0.035             79.264
## PC368   368 2.163538e+00       0.035             79.299
## PC369   369 2.161086e+00       0.035             79.334
## PC370   370 2.159421e+00       0.035             79.369
## PC371   371 2.158612e+00       0.035             79.405
## PC372   372 2.154376e+00       0.035             79.440
## PC373   373 2.153405e+00       0.035             79.475
## PC374   374 2.151899e+00       0.035             79.510
## PC375   375 2.150432e+00       0.035             79.545
## PC376   376 2.147538e+00       0.035             79.580
## PC377   377 2.147358e+00       0.035             79.614
## PC378   378 2.145190e+00       0.035             79.649
## PC379   379 2.142707e+00       0.035             79.684
## PC380   380 2.141749e+00       0.035             79.718
## PC381   381 2.139395e+00       0.035             79.753
## PC382   382 2.137910e+00       0.035             79.788
## PC383   383 2.135530e+00       0.034             79.822
## PC384   384 2.133342e+00       0.034             79.856
## PC385   385 2.132025e+00       0.034             79.891
## PC386   386 2.129104e+00       0.034             79.925
## PC387   387 2.124118e+00       0.034             79.959
## PC388   388 2.122466e+00       0.034             79.993
## PC389   389 2.121338e+00       0.034             80.027
## PC390   390 2.119858e+00       0.034             80.061
## PC391   391 2.117200e+00       0.034             80.095
## PC392   392 2.115957e+00       0.034             80.129
## PC393   393 2.115110e+00       0.034             80.163
## PC394   394 2.114784e+00       0.034             80.196
## PC395   395 2.110077e+00       0.034             80.230
## PC396   396 2.108065e+00       0.034             80.264
## PC397   397 2.107202e+00       0.034             80.297
## PC398   398 2.103395e+00       0.033             80.331
## PC399   399 2.102656e+00       0.033             80.364
## PC400   400 2.099817e+00       0.033             80.397
## PC401   401 2.097731e+00       0.033             80.430
## PC402   402 2.095344e+00       0.033             80.464
## PC403   403 2.093010e+00       0.033             80.497
## PC404   404 2.092170e+00       0.033             80.530
## PC405   405 2.091749e+00       0.033             80.563
## PC406   406 2.087983e+00       0.033             80.596
## PC407   407 2.083777e+00       0.033             80.629
## PC408   408 2.082320e+00       0.033             80.661
## PC409   409 2.081306e+00       0.033             80.694
## PC410   410 2.078372e+00       0.033             80.727
## PC411   411 2.077740e+00       0.033             80.759
## PC412   412 2.076214e+00       0.033             80.792
## PC413   413 2.074980e+00       0.033             80.824
## PC414   414 2.072796e+00       0.032             80.857
## PC415   415 2.072301e+00       0.032             80.889
## PC416   416 2.070247e+00       0.032             80.922
## PC417   417 2.067924e+00       0.032             80.954
## PC418   418 2.065878e+00       0.032             80.986
## PC419   419 2.064194e+00       0.032             81.018
## PC420   420 2.060002e+00       0.032             81.051
## PC421   421 2.058913e+00       0.032             81.083
## PC422   422 2.057741e+00       0.032             81.115
## PC423   423 2.056094e+00       0.032             81.146
## PC424   424 2.055089e+00       0.032             81.178
## PC425   425 2.053528e+00       0.032             81.210
## PC426   426 2.050306e+00       0.032             81.242
## PC427   427 2.049225e+00       0.032             81.274
## PC428   428 2.046935e+00       0.032             81.305
## PC429   429 2.044286e+00       0.032             81.337
## PC430   430 2.042946e+00       0.032             81.368
## PC431   431 2.041741e+00       0.031             81.400
## PC432   432 2.038850e+00       0.031             81.431
## PC433   433 2.038033e+00       0.031             81.463
## PC434   434 2.037402e+00       0.031             81.494
## PC435   435 2.035024e+00       0.031             81.525
## PC436   436 2.034565e+00       0.031             81.557
## PC437   437 2.032163e+00       0.031             81.588
## PC438   438 2.030873e+00       0.031             81.619
## PC439   439 2.029646e+00       0.031             81.650
## PC440   440 2.028040e+00       0.031             81.681
## PC441   441 2.027386e+00       0.031             81.712
## PC442   442 2.025652e+00       0.031             81.743
## PC443   443 2.023541e+00       0.031             81.774
## PC444   444 2.022374e+00       0.031             81.805
## PC445   445 2.020879e+00       0.031             81.836
## PC446   446 2.020520e+00       0.031             81.867
## PC447   447 2.018124e+00       0.031             81.898
## PC448   448 2.016927e+00       0.031             81.928
## PC449   449 2.015822e+00       0.031             81.959
## PC450   450 2.014377e+00       0.031             81.990
## PC451   451 2.012355e+00       0.031             82.020
## PC452   452 2.011650e+00       0.031             82.051
## PC453   453 2.010439e+00       0.031             82.081
## PC454   454 2.008613e+00       0.030             82.112
## PC455   455 2.007482e+00       0.030             82.142
## PC456   456 2.006007e+00       0.030             82.173
## PC457   457 2.004659e+00       0.030             82.203
## PC458   458 2.004079e+00       0.030             82.233
## PC459   459 2.003138e+00       0.030             82.264
## PC460   460 2.002704e+00       0.030             82.294
## PC461   461 2.002332e+00       0.030             82.324
## PC462   462 2.001102e+00       0.030             82.355
## PC463   463 2.000880e+00       0.030             82.385
## PC464   464 1.999422e+00       0.030             82.415
## PC465   465 1.997655e+00       0.030             82.445
## PC466   466 1.994139e+00       0.030             82.475
## PC467   467 1.991596e+00       0.030             82.505
## PC468   468 1.990091e+00       0.030             82.535
## PC469   469 1.988696e+00       0.030             82.565
## PC470   470 1.987049e+00       0.030             82.595
## PC471   471 1.985822e+00       0.030             82.625
## PC472   472 1.983740e+00       0.030             82.654
## PC473   473 1.981562e+00       0.030             82.684
## PC474   474 1.979442e+00       0.030             82.714
## PC475   475 1.976968e+00       0.030             82.743
## PC476   476 1.975788e+00       0.029             82.773
## PC477   477 1.974350e+00       0.029             82.802
## PC478   478 1.973517e+00       0.029             82.831
## PC479   479 1.972327e+00       0.029             82.861
## PC480   480 1.970427e+00       0.029             82.890
## PC481   481 1.969018e+00       0.029             82.919
## PC482   482 1.967382e+00       0.029             82.949
## PC483   483 1.965457e+00       0.029             82.978
## PC484   484 1.964640e+00       0.029             83.007
## PC485   485 1.961899e+00       0.029             83.036
## PC486   486 1.961718e+00       0.029             83.065
## PC487   487 1.960211e+00       0.029             83.094
## PC488   488 1.959532e+00       0.029             83.123
## PC489   489 1.958205e+00       0.029             83.152
## PC490   490 1.957190e+00       0.029             83.181
## PC491   491 1.955783e+00       0.029             83.210
## PC492   492 1.954874e+00       0.029             83.239
## PC493   493 1.953500e+00       0.029             83.268
## PC494   494 1.952218e+00       0.029             83.297
## PC495   495 1.948691e+00       0.029             83.325
## PC496   496 1.947273e+00       0.029             83.354
## PC497   497 1.946445e+00       0.029             83.383
## PC498   498 1.944598e+00       0.029             83.411
## PC499   499 1.943027e+00       0.029             83.440
## PC500   500 1.940907e+00       0.028             83.468
## PC501   501 1.939871e+00       0.028             83.496
## PC502   502 1.936342e+00       0.028             83.525
## PC503   503 1.935376e+00       0.028             83.553
## PC504   504 1.933395e+00       0.028             83.581
## PC505   505 1.932939e+00       0.028             83.610
## PC506   506 1.932030e+00       0.028             83.638
## PC507   507 1.928511e+00       0.028             83.666
## PC508   508 1.925545e+00       0.028             83.694
## PC509   509 1.924526e+00       0.028             83.722
## PC510   510 1.923344e+00       0.028             83.750
## PC511   511 1.922888e+00       0.028             83.778
## PC512   512 1.921820e+00       0.028             83.806
## PC513   513 1.918913e+00       0.028             83.833
## PC514   514 1.916848e+00       0.028             83.861
## PC515   515 1.915339e+00       0.028             83.889
## PC516   516 1.914425e+00       0.028             83.917
## PC517   517 1.912294e+00       0.028             83.944
## PC518   518 1.910589e+00       0.028             83.972
## PC519   519 1.907341e+00       0.027             83.999
## PC520   520 1.906329e+00       0.027             84.027
## PC521   521 1.904885e+00       0.027             84.054
## PC522   522 1.903974e+00       0.027             84.082
## PC523   523 1.903395e+00       0.027             84.109
## PC524   524 1.902604e+00       0.027             84.136
## PC525   525 1.900902e+00       0.027             84.164
## PC526   526 1.897618e+00       0.027             84.191
## PC527   527 1.897199e+00       0.027             84.218
## PC528   528 1.893921e+00       0.027             84.245
## PC529   529 1.893009e+00       0.027             84.272
## PC530   530 1.891721e+00       0.027             84.299
## PC531   531 1.891381e+00       0.027             84.326
## PC532   532 1.889740e+00       0.027             84.353
## PC533   533 1.888351e+00       0.027             84.380
## PC534   534 1.887238e+00       0.027             84.407
## PC535   535 1.886240e+00       0.027             84.434
## PC536   536 1.883872e+00       0.027             84.461
## PC537   537 1.882488e+00       0.027             84.488
## PC538   538 1.880474e+00       0.027             84.514
## PC539   539 1.879474e+00       0.027             84.541
## PC540   540 1.879190e+00       0.027             84.568
## PC541   541 1.876802e+00       0.027             84.594
## PC542   542 1.876080e+00       0.027             84.621
## PC543   543 1.873878e+00       0.027             84.647
## PC544   544 1.870257e+00       0.026             84.674
## PC545   545 1.869276e+00       0.026             84.700
## PC546   546 1.868077e+00       0.026             84.727
## PC547   547 1.866872e+00       0.026             84.753
## PC548   548 1.865483e+00       0.026             84.779
## PC549   549 1.863366e+00       0.026             84.805
## PC550   550 1.861843e+00       0.026             84.832
## PC551   551 1.860744e+00       0.026             84.858
## PC552   552 1.859952e+00       0.026             84.884
## PC553   553 1.857768e+00       0.026             84.910
## PC554   554 1.856441e+00       0.026             84.936
## PC555   555 1.854427e+00       0.026             84.962
## PC556   556 1.852510e+00       0.026             84.988
## PC557   557 1.852194e+00       0.026             85.014
## PC558   558 1.851571e+00       0.026             85.040
## PC559   559 1.849989e+00       0.026             85.066
## PC560   560 1.848970e+00       0.026             85.091
## PC561   561 1.845405e+00       0.026             85.117
## PC562   562 1.844434e+00       0.026             85.143
## PC563   563 1.842783e+00       0.026             85.168
## PC564   564 1.842677e+00       0.026             85.194
## PC565   565 1.840825e+00       0.026             85.220
## PC566   566 1.840343e+00       0.026             85.245
## PC567   567 1.839305e+00       0.026             85.271
## PC568   568 1.837857e+00       0.026             85.296
## PC569   569 1.837151e+00       0.025             85.322
## PC570   570 1.836413e+00       0.025             85.347
## PC571   571 1.833802e+00       0.025             85.373
## PC572   572 1.832119e+00       0.025             85.398
## PC573   573 1.829726e+00       0.025             85.423
## PC574   574 1.828010e+00       0.025             85.449
## PC575   575 1.826639e+00       0.025             85.474
## PC576   576 1.825627e+00       0.025             85.499
## PC577   577 1.824848e+00       0.025             85.524
## PC578   578 1.821757e+00       0.025             85.549
## PC579   579 1.820324e+00       0.025             85.574
## PC580   580 1.820039e+00       0.025             85.599
## PC581   581 1.818344e+00       0.025             85.624
## PC582   582 1.816715e+00       0.025             85.649
## PC583   583 1.815074e+00       0.025             85.674
## PC584   584 1.814721e+00       0.025             85.699
## PC585   585 1.813717e+00       0.025             85.724
## PC586   586 1.813079e+00       0.025             85.749
## PC587   587 1.811712e+00       0.025             85.773
## PC588   588 1.810926e+00       0.025             85.798
## PC589   589 1.809935e+00       0.025             85.823
## PC590   590 1.807896e+00       0.025             85.848
## PC591   591 1.806645e+00       0.025             85.872
## PC592   592 1.804232e+00       0.025             85.897
## PC593   593 1.800697e+00       0.024             85.921
## PC594   594 1.800025e+00       0.024             85.946
## PC595   595 1.799147e+00       0.024             85.970
## PC596   596 1.798876e+00       0.024             85.995
## PC597   597 1.796496e+00       0.024             86.019
## PC598   598 1.795494e+00       0.024             86.044
## PC599   599 1.793606e+00       0.024             86.068
## PC600   600 1.792563e+00       0.024             86.092
## PC601   601 1.791318e+00       0.024             86.116
## PC602   602 1.790657e+00       0.024             86.141
## PC603   603 1.788193e+00       0.024             86.165
## PC604   604 1.786353e+00       0.024             86.189
## PC605   605 1.785697e+00       0.024             86.213
## PC606   606 1.784418e+00       0.024             86.237
## PC607   607 1.783843e+00       0.024             86.261
## PC608   608 1.781433e+00       0.024             86.285
## PC609   609 1.781059e+00       0.024             86.309
## PC610   610 1.779009e+00       0.024             86.333
## PC611   611 1.777502e+00       0.024             86.357
## PC612   612 1.776469e+00       0.024             86.381
## PC613   613 1.775364e+00       0.024             86.404
## PC614   614 1.774440e+00       0.024             86.428
## PC615   615 1.773637e+00       0.024             86.452
## PC616   616 1.773217e+00       0.024             86.476
## PC617   617 1.771555e+00       0.024             86.499
## PC618   618 1.771141e+00       0.024             86.523
## PC619   619 1.769272e+00       0.024             86.547
## PC620   620 1.768456e+00       0.024             86.570
## PC621   621 1.765986e+00       0.024             86.594
## PC622   622 1.764694e+00       0.024             86.618
## PC623   623 1.763540e+00       0.023             86.641
## PC624   624 1.761673e+00       0.023             86.664
## PC625   625 1.759667e+00       0.023             86.688
## PC626   626 1.758323e+00       0.023             86.711
## PC627   627 1.757839e+00       0.023             86.735
## PC628   628 1.757434e+00       0.023             86.758
## PC629   629 1.756747e+00       0.023             86.781
## PC630   630 1.755605e+00       0.023             86.804
## PC631   631 1.753866e+00       0.023             86.828
## PC632   632 1.753051e+00       0.023             86.851
## PC633   633 1.752470e+00       0.023             86.874
## PC634   634 1.751715e+00       0.023             86.897
## PC635   635 1.750607e+00       0.023             86.920
## PC636   636 1.749963e+00       0.023             86.944
## PC637   637 1.749290e+00       0.023             86.967
## PC638   638 1.748446e+00       0.023             86.990
## PC639   639 1.747784e+00       0.023             87.013
## PC640   640 1.747424e+00       0.023             87.036
## PC641   641 1.746340e+00       0.023             87.059
## PC642   642 1.745916e+00       0.023             87.082
## PC643   643 1.745388e+00       0.023             87.105
## PC644   644 1.745039e+00       0.023             87.128
## PC645   645 1.743501e+00       0.023             87.151
## PC646   646 1.742574e+00       0.023             87.174
## PC647   647 1.742076e+00       0.023             87.197
## PC648   648 1.741566e+00       0.023             87.220
## PC649   649 1.740510e+00       0.023             87.243
## PC650   650 1.740128e+00       0.023             87.266
## PC651   651 1.739741e+00       0.023             87.288
## PC652   652 1.739115e+00       0.023             87.311
## PC653   653 1.738839e+00       0.023             87.334
## PC654   654 1.737552e+00       0.023             87.357
## PC655   655 1.737294e+00       0.023             87.380
## PC656   656 1.736057e+00       0.023             87.403
## PC657   657 1.735652e+00       0.023             87.425
## PC658   658 1.735176e+00       0.023             87.448
## PC659   659 1.734956e+00       0.023             87.471
## PC660   660 1.734736e+00       0.023             87.493
## PC661   661 1.733826e+00       0.023             87.516
## PC662   662 1.733709e+00       0.023             87.539
## PC663   663 1.733498e+00       0.023             87.562
## PC664   664 1.733314e+00       0.023             87.584
## PC665   665 1.733067e+00       0.023             87.607
## PC666   666 1.732743e+00       0.023             87.630
## PC667   667 1.732676e+00       0.023             87.652
## PC668   668 1.732523e+00       0.023             87.675
## PC669   669 1.732357e+00       0.023             87.698
## PC670   670 1.730397e+00       0.023             87.720
## PC671   671 1.727838e+00       0.023             87.743
## PC672   672 1.726893e+00       0.023             87.765
## PC673   673 1.726191e+00       0.023             87.788
## PC674   674 1.725488e+00       0.022             87.810
## PC675   675 1.724132e+00       0.022             87.833
## PC676   676 1.721965e+00       0.022             87.855
## PC677   677 1.720941e+00       0.022             87.878
## PC678   678 1.718232e+00       0.022             87.900
## PC679   679 1.718114e+00       0.022             87.922
## PC680   680 1.715039e+00       0.022             87.944
## PC681   681 1.713902e+00       0.022             87.967
## PC682   682 1.712863e+00       0.022             87.989
## PC683   683 1.712686e+00       0.022             88.011
## PC684   684 1.711592e+00       0.022             88.033
## PC685   685 1.709895e+00       0.022             88.055
## PC686   686 1.709611e+00       0.022             88.077
## PC687   687 1.708465e+00       0.022             88.099
## PC688   688 1.707738e+00       0.022             88.121
## PC689   689 1.706276e+00       0.022             88.143
## PC690   690 1.705089e+00       0.022             88.165
## PC691   691 1.702703e+00       0.022             88.187
## PC692   692 1.701547e+00       0.022             88.209
## PC693   693 1.700285e+00       0.022             88.231
## PC694   694 1.699728e+00       0.022             88.253
## PC695   695 1.697509e+00       0.022             88.275
## PC696   696 1.695423e+00       0.022             88.296
## PC697   697 1.693520e+00       0.022             88.318
## PC698   698 1.692349e+00       0.022             88.340
## PC699   699 1.691679e+00       0.022             88.361
## PC700   700 1.688730e+00       0.022             88.383
## PC701   701 1.688604e+00       0.022             88.404
## PC702   702 1.687685e+00       0.022             88.426
## PC703   703 1.686472e+00       0.021             88.447
## PC704   704 1.685439e+00       0.021             88.469
## PC705   705 1.682607e+00       0.021             88.490
## PC706   706 1.682220e+00       0.021             88.512
## PC707   707 1.681020e+00       0.021             88.533
## PC708   708 1.678765e+00       0.021             88.554
## PC709   709 1.678254e+00       0.021             88.575
## PC710   710 1.676786e+00       0.021             88.597
## PC711   711 1.674979e+00       0.021             88.618
## PC712   712 1.673934e+00       0.021             88.639
## PC713   713 1.673608e+00       0.021             88.660
## PC714   714 1.672255e+00       0.021             88.681
## PC715   715 1.672112e+00       0.021             88.702
## PC716   716 1.669841e+00       0.021             88.724
## PC717   717 1.669121e+00       0.021             88.745
## PC718   718 1.667694e+00       0.021             88.766
## PC719   719 1.666247e+00       0.021             88.787
## PC720   720 1.664728e+00       0.021             88.807
## PC721   721 1.663048e+00       0.021             88.828
## PC722   722 1.662019e+00       0.021             88.849
## PC723   723 1.660112e+00       0.021             88.870
## PC724   724 1.659479e+00       0.021             88.891
## PC725   725 1.658677e+00       0.021             88.912
## PC726   726 1.657339e+00       0.021             88.932
## PC727   727 1.656381e+00       0.021             88.953
## PC728   728 1.655644e+00       0.021             88.974
## PC729   729 1.653410e+00       0.021             88.995
## PC730   730 1.651975e+00       0.021             89.015
## PC731   731 1.651090e+00       0.021             89.036
## PC732   732 1.650042e+00       0.021             89.056
## PC733   733 1.649560e+00       0.021             89.077
## PC734   734 1.649181e+00       0.021             89.097
## PC735   735 1.646656e+00       0.020             89.118
## PC736   736 1.646275e+00       0.020             89.138
## PC737   737 1.643702e+00       0.020             89.159
## PC738   738 1.641382e+00       0.020             89.179
## PC739   739 1.640933e+00       0.020             89.199
## PC740   740 1.639721e+00       0.020             89.220
## PC741   741 1.638574e+00       0.020             89.240
## PC742   742 1.637098e+00       0.020             89.260
## PC743   743 1.634824e+00       0.020             89.280
## PC744   744 1.632754e+00       0.020             89.301
## PC745   745 1.632673e+00       0.020             89.321
## PC746   746 1.630690e+00       0.020             89.341
## PC747   747 1.629875e+00       0.020             89.361
## PC748   748 1.628266e+00       0.020             89.381
## PC749   749 1.627471e+00       0.020             89.401
## PC750   750 1.627067e+00       0.020             89.421
## PC751   751 1.624262e+00       0.020             89.441
## PC752   752 1.623033e+00       0.020             89.461
## PC753   753 1.621314e+00       0.020             89.481
## PC754   754 1.620029e+00       0.020             89.500
## PC755   755 1.619510e+00       0.020             89.520
## PC756   756 1.618834e+00       0.020             89.540
## PC757   757 1.617368e+00       0.020             89.560
## PC758   758 1.616904e+00       0.020             89.580
## PC759   759 1.616113e+00       0.020             89.599
## PC760   760 1.614738e+00       0.020             89.619
## PC761   761 1.612437e+00       0.020             89.639
## PC762   762 1.610852e+00       0.020             89.658
## PC763   763 1.609285e+00       0.020             89.678
## PC764   764 1.608578e+00       0.020             89.697
## PC765   765 1.606592e+00       0.019             89.717
## PC766   766 1.606329e+00       0.019             89.736
## PC767   767 1.604519e+00       0.019             89.756
## PC768   768 1.602978e+00       0.019             89.775
## PC769   769 1.602194e+00       0.019             89.795
## PC770   770 1.600996e+00       0.019             89.814
## PC771   771 1.599301e+00       0.019             89.833
## PC772   772 1.598629e+00       0.019             89.853
## PC773   773 1.597063e+00       0.019             89.872
## PC774   774 1.596301e+00       0.019             89.891
## PC775   775 1.595993e+00       0.019             89.910
## PC776   776 1.594016e+00       0.019             89.930
## PC777   777 1.592855e+00       0.019             89.949
## PC778   778 1.592447e+00       0.019             89.968
## PC779   779 1.591413e+00       0.019             89.987
## PC780   780 1.589963e+00       0.019             90.006
## PC781   781 1.589484e+00       0.019             90.025
## PC782   782 1.587668e+00       0.019             90.044
## PC783   783 1.586369e+00       0.019             90.063
## PC784   784 1.585157e+00       0.019             90.082
## PC785   785 1.583260e+00       0.019             90.101
## PC786   786 1.581296e+00       0.019             90.120
## PC787   787 1.580083e+00       0.019             90.139
## PC788   788 1.579159e+00       0.019             90.158
## PC789   789 1.577767e+00       0.019             90.177
## PC790   790 1.576785e+00       0.019             90.195
## PC791   791 1.575566e+00       0.019             90.214
## PC792   792 1.573986e+00       0.019             90.233
## PC793   793 1.572911e+00       0.019             90.252
## PC794   794 1.572670e+00       0.019             90.270
## PC795   795 1.572023e+00       0.019             90.289
## PC796   796 1.571017e+00       0.019             90.308
## PC797   797 1.570727e+00       0.019             90.326
## PC798   798 1.568250e+00       0.019             90.345
## PC799   799 1.567562e+00       0.019             90.363
## PC800   800 1.567144e+00       0.019             90.382
## PC801   801 1.566107e+00       0.019             90.400
## PC802   802 1.565312e+00       0.019             90.419
## PC803   803 1.564686e+00       0.018             90.437
## PC804   804 1.563117e+00       0.018             90.456
## PC805   805 1.561792e+00       0.018             90.474
## PC806   806 1.560660e+00       0.018             90.493
## PC807   807 1.558698e+00       0.018             90.511
## PC808   808 1.557297e+00       0.018             90.529
## PC809   809 1.556304e+00       0.018             90.548
## PC810   810 1.554886e+00       0.018             90.566
## PC811   811 1.554365e+00       0.018             90.584
## PC812   812 1.552222e+00       0.018             90.602
## PC813   813 1.551905e+00       0.018             90.621
## PC814   814 1.550885e+00       0.018             90.639
## PC815   815 1.548935e+00       0.018             90.657
## PC816   816 1.547814e+00       0.018             90.675
## PC817   817 1.546183e+00       0.018             90.693
## PC818   818 1.545848e+00       0.018             90.711
## PC819   819 1.544435e+00       0.018             90.729
## PC820   820 1.543545e+00       0.018             90.747
## PC821   821 1.541067e+00       0.018             90.765
## PC822   822 1.540589e+00       0.018             90.783
## PC823   823 1.540523e+00       0.018             90.801
## PC824   824 1.538214e+00       0.018             90.819
## PC825   825 1.537650e+00       0.018             90.837
## PC826   826 1.537234e+00       0.018             90.855
## PC827   827 1.535567e+00       0.018             90.872
## PC828   828 1.534193e+00       0.018             90.890
## PC829   829 1.532591e+00       0.018             90.908
## PC830   830 1.531952e+00       0.018             90.926
## PC831   831 1.530522e+00       0.018             90.943
## PC832   832 1.529669e+00       0.018             90.961
## PC833   833 1.529040e+00       0.018             90.979
## PC834   834 1.527567e+00       0.018             90.996
## PC835   835 1.526421e+00       0.018             91.014
## PC836   836 1.525027e+00       0.018             91.031
## PC837   837 1.524351e+00       0.018             91.049
## PC838   838 1.523495e+00       0.018             91.067
## PC839   839 1.522444e+00       0.018             91.084
## PC840   840 1.521432e+00       0.017             91.102
## PC841   841 1.519860e+00       0.017             91.119
## PC842   842 1.518627e+00       0.017             91.136
## PC843   843 1.518414e+00       0.017             91.154
## PC844   844 1.517213e+00       0.017             91.171
## PC845   845 1.515697e+00       0.017             91.189
## PC846   846 1.514330e+00       0.017             91.206
## PC847   847 1.512324e+00       0.017             91.223
## PC848   848 1.512005e+00       0.017             91.240
## PC849   849 1.511816e+00       0.017             91.258
## PC850   850 1.511367e+00       0.017             91.275
## PC851   851 1.509804e+00       0.017             91.292
## PC852   852 1.508291e+00       0.017             91.309
## PC853   853 1.508001e+00       0.017             91.327
## PC854   854 1.507286e+00       0.017             91.344
## PC855   855 1.506635e+00       0.017             91.361
## PC856   856 1.504520e+00       0.017             91.378
## PC857   857 1.502695e+00       0.017             91.395
## PC858   858 1.502234e+00       0.017             91.412
## PC859   859 1.500161e+00       0.017             91.429
## PC860   860 1.498456e+00       0.017             91.446
## PC861   861 1.497469e+00       0.017             91.463
## PC862   862 1.497273e+00       0.017             91.480
## PC863   863 1.495957e+00       0.017             91.497
## PC864   864 1.494428e+00       0.017             91.514
## PC865   865 1.494155e+00       0.017             91.531
## PC866   866 1.491701e+00       0.017             91.547
## PC867   867 1.491147e+00       0.017             91.564
## PC868   868 1.490604e+00       0.017             91.581
## PC869   869 1.490042e+00       0.017             91.598
## PC870   870 1.488663e+00       0.017             91.614
## PC871   871 1.486765e+00       0.017             91.631
## PC872   872 1.486025e+00       0.017             91.648
## PC873   873 1.485479e+00       0.017             91.665
## PC874   874 1.485125e+00       0.017             91.681
## PC875   875 1.484375e+00       0.017             91.698
## PC876   876 1.483612e+00       0.017             91.714
## PC877   877 1.483005e+00       0.017             91.731
## PC878   878 1.481577e+00       0.017             91.748
## PC879   879 1.481547e+00       0.017             91.764
## PC880   880 1.480497e+00       0.017             91.781
## PC881   881 1.479708e+00       0.017             91.797
## PC882   882 1.478930e+00       0.017             91.814
## PC883   883 1.478225e+00       0.017             91.830
## PC884   884 1.477196e+00       0.016             91.847
## PC885   885 1.476366e+00       0.016             91.863
## PC886   886 1.474713e+00       0.016             91.880
## PC887   887 1.474646e+00       0.016             91.896
## PC888   888 1.474274e+00       0.016             91.913
## PC889   889 1.473479e+00       0.016             91.929
## PC890   890 1.473082e+00       0.016             91.945
## PC891   891 1.471547e+00       0.016             91.962
## PC892   892 1.471387e+00       0.016             91.978
## PC893   893 1.470300e+00       0.016             91.994
## PC894   894 1.469867e+00       0.016             92.011
## PC895   895 1.468690e+00       0.016             92.027
## PC896   896 1.467694e+00       0.016             92.043
## PC897   897 1.467539e+00       0.016             92.060
## PC898   898 1.466005e+00       0.016             92.076
## PC899   899 1.465866e+00       0.016             92.092
## PC900   900 1.465252e+00       0.016             92.108
## PC901   901 1.464118e+00       0.016             92.125
## PC902   902 1.463408e+00       0.016             92.141
## PC903   903 1.463246e+00       0.016             92.157
## PC904   904 1.462913e+00       0.016             92.173
## PC905   905 1.461008e+00       0.016             92.189
## PC906   906 1.460680e+00       0.016             92.205
## PC907   907 1.460063e+00       0.016             92.221
## PC908   908 1.459654e+00       0.016             92.237
## PC909   909 1.458087e+00       0.016             92.254
## PC910   910 1.457577e+00       0.016             92.270
## PC911   911 1.457017e+00       0.016             92.286
## PC912   912 1.456379e+00       0.016             92.302
## PC913   913 1.455448e+00       0.016             92.318
## PC914   914 1.454809e+00       0.016             92.334
## PC915   915 1.453373e+00       0.016             92.350
## PC916   916 1.453047e+00       0.016             92.366
## PC917   917 1.452689e+00       0.016             92.382
## PC918   918 1.452215e+00       0.016             92.397
## PC919   919 1.451475e+00       0.016             92.413
## PC920   920 1.450969e+00       0.016             92.429
## PC921   921 1.450242e+00       0.016             92.445
## PC922   922 1.449518e+00       0.016             92.461
## PC923   923 1.448626e+00       0.016             92.477
## PC924   924 1.448527e+00       0.016             92.493
## PC925   925 1.446920e+00       0.016             92.509
## PC926   926 1.446654e+00       0.016             92.524
## PC927   927 1.445501e+00       0.016             92.540
## PC928   928 1.445103e+00       0.016             92.556
## PC929   929 1.445002e+00       0.016             92.572
## PC930   930 1.444147e+00       0.016             92.587
## PC931   931 1.443502e+00       0.016             92.603
## PC932   932 1.442695e+00       0.016             92.619
## PC933   933 1.442660e+00       0.016             92.635
## PC934   934 1.441832e+00       0.016             92.650
## PC935   935 1.441385e+00       0.016             92.666
## PC936   936 1.440776e+00       0.016             92.682
## PC937   937 1.440215e+00       0.016             92.697
## PC938   938 1.440089e+00       0.016             92.713
## PC939   939 1.438899e+00       0.016             92.729
## PC940   940 1.437660e+00       0.016             92.744
## PC941   941 1.436909e+00       0.016             92.760
## PC942   942 1.435742e+00       0.016             92.775
## PC943   943 1.435225e+00       0.016             92.791
## PC944   944 1.434826e+00       0.016             92.807
## PC945   945 1.434436e+00       0.016             92.822
## PC946   946 1.434098e+00       0.016             92.838
## PC947   947 1.433932e+00       0.016             92.853
## PC948   948 1.432995e+00       0.016             92.869
## PC949   949 1.432268e+00       0.015             92.884
## PC950   950 1.432001e+00       0.015             92.900
## PC951   951 1.431437e+00       0.015             92.915
## PC952   952 1.430763e+00       0.015             92.931
## PC953   953 1.430584e+00       0.015             92.946
## PC954   954 1.430061e+00       0.015             92.962
## PC955   955 1.429295e+00       0.015             92.977
## PC956   956 1.428918e+00       0.015             92.992
## PC957   957 1.428259e+00       0.015             93.008
## PC958   958 1.428253e+00       0.015             93.023
## PC959   959 1.427174e+00       0.015             93.039
## PC960   960 1.426454e+00       0.015             93.054
## PC961   961 1.426004e+00       0.015             93.069
## PC962   962 1.425319e+00       0.015             93.085
## PC963   963 1.424566e+00       0.015             93.100
## PC964   964 1.423931e+00       0.015             93.115
## PC965   965 1.423677e+00       0.015             93.131
## PC966   966 1.423007e+00       0.015             93.146
## PC967   967 1.422767e+00       0.015             93.161
## PC968   968 1.421965e+00       0.015             93.177
## PC969   969 1.421470e+00       0.015             93.192
## PC970   970 1.421094e+00       0.015             93.207
## PC971   971 1.420691e+00       0.015             93.222
## PC972   972 1.420339e+00       0.015             93.238
## PC973   973 1.420088e+00       0.015             93.253
## PC974   974 1.419899e+00       0.015             93.268
## PC975   975 1.419591e+00       0.015             93.283
## PC976   976 1.419249e+00       0.015             93.298
## PC977   977 1.418762e+00       0.015             93.314
## PC978   978 1.418241e+00       0.015             93.329
## PC979   979 1.418029e+00       0.015             93.344
## PC980   980 1.417665e+00       0.015             93.359
## PC981   981 1.417558e+00       0.015             93.374
## PC982   982 1.417068e+00       0.015             93.390
## PC983   983 1.416959e+00       0.015             93.405
## PC984   984 1.416753e+00       0.015             93.420
## PC985   985 1.416370e+00       0.015             93.435
## PC986   986 1.416259e+00       0.015             93.450
## PC987   987 1.415991e+00       0.015             93.465
## PC988   988 1.415852e+00       0.015             93.481
## PC989   989 1.415548e+00       0.015             93.496
## PC990   990 1.415454e+00       0.015             93.511
## PC991   991 1.415278e+00       0.015             93.526
## PC992   992 1.415245e+00       0.015             93.541
## PC993   993 1.415058e+00       0.015             93.556
## PC994   994 1.414999e+00       0.015             93.571
## PC995   995 1.414953e+00       0.015             93.586
## PC996   996 1.414736e+00       0.015             93.602
## PC997   997 1.414672e+00       0.015             93.617
## PC998   998 1.414657e+00       0.015             93.632
## PC999   999 1.414548e+00       0.015             93.647
## PC1000 1000 1.414510e+00       0.015             93.662
## PC1001 1001 1.414496e+00       0.015             93.677
## PC1002 1002 1.414496e+00       0.015             93.692
## PC1003 1003 1.413537e+00       0.015             93.707
## PC1004 1004 1.411962e+00       0.015             93.722
## PC1005 1005 1.411304e+00       0.015             93.737
## PC1006 1006 1.410517e+00       0.015             93.753
## PC1007 1007 1.409830e+00       0.015             93.768
## PC1008 1008 1.408612e+00       0.015             93.783
## PC1009 1009 1.406988e+00       0.015             93.797
## PC1010 1010 1.405096e+00       0.015             93.812
## PC1011 1011 1.401230e+00       0.015             93.827
## PC1012 1012 1.400345e+00       0.015             93.842
## PC1013 1013 1.398955e+00       0.015             93.857
## PC1014 1014 1.396329e+00       0.015             93.872
## PC1015 1015 1.394712e+00       0.015             93.886
## PC1016 1016 1.393537e+00       0.015             93.901
## PC1017 1017 1.391214e+00       0.015             93.916
## PC1018 1018 1.390117e+00       0.015             93.930
## PC1019 1019 1.389651e+00       0.015             93.945
## PC1020 1020 1.388395e+00       0.015             93.959
## PC1021 1021 1.387248e+00       0.015             93.974
## PC1022 1022 1.385279e+00       0.014             93.988
## PC1023 1023 1.384015e+00       0.014             94.003
## PC1024 1024 1.382823e+00       0.014             94.017
## PC1025 1025 1.382150e+00       0.014             94.032
## PC1026 1026 1.381158e+00       0.014             94.046
## PC1027 1027 1.381040e+00       0.014             94.061
## PC1028 1028 1.378568e+00       0.014             94.075
## PC1029 1029 1.376635e+00       0.014             94.089
## PC1030 1030 1.375934e+00       0.014             94.103
## PC1031 1031 1.373260e+00       0.014             94.118
## PC1032 1032 1.372253e+00       0.014             94.132
## PC1033 1033 1.371456e+00       0.014             94.146
## PC1034 1034 1.370172e+00       0.014             94.160
## PC1035 1035 1.368494e+00       0.014             94.175
## PC1036 1036 1.366842e+00       0.014             94.189
## PC1037 1037 1.364935e+00       0.014             94.203
## PC1038 1038 1.364057e+00       0.014             94.217
## PC1039 1039 1.362736e+00       0.014             94.231
## PC1040 1040 1.359425e+00       0.014             94.245
## PC1041 1041 1.357857e+00       0.014             94.259
## PC1042 1042 1.356858e+00       0.014             94.273
## PC1043 1043 1.355496e+00       0.014             94.286
## PC1044 1044 1.353512e+00       0.014             94.300
## PC1045 1045 1.353046e+00       0.014             94.314
## PC1046 1046 1.352453e+00       0.014             94.328
## PC1047 1047 1.350751e+00       0.014             94.342
## PC1048 1048 1.349561e+00       0.014             94.355
## PC1049 1049 1.348645e+00       0.014             94.369
## PC1050 1050 1.345283e+00       0.014             94.383
## PC1051 1051 1.344886e+00       0.014             94.397
## PC1052 1052 1.344036e+00       0.014             94.410
## PC1053 1053 1.342408e+00       0.014             94.424
## PC1054 1054 1.340823e+00       0.014             94.437
## PC1055 1055 1.340451e+00       0.014             94.451
## PC1056 1056 1.338719e+00       0.014             94.465
## PC1057 1057 1.337516e+00       0.014             94.478
## PC1058 1058 1.336183e+00       0.013             94.492
## PC1059 1059 1.334805e+00       0.013             94.505
## PC1060 1060 1.332567e+00       0.013             94.518
## PC1061 1061 1.332150e+00       0.013             94.532
## PC1062 1062 1.330400e+00       0.013             94.545
## PC1063 1063 1.330292e+00       0.013             94.559
## PC1064 1064 1.327992e+00       0.013             94.572
## PC1065 1065 1.326518e+00       0.013             94.585
## PC1066 1066 1.325512e+00       0.013             94.598
## PC1067 1067 1.325165e+00       0.013             94.612
## PC1068 1068 1.323229e+00       0.013             94.625
## PC1069 1069 1.321950e+00       0.013             94.638
## PC1070 1070 1.319966e+00       0.013             94.651
## PC1071 1071 1.318650e+00       0.013             94.664
## PC1072 1072 1.318027e+00       0.013             94.678
## PC1073 1073 1.316018e+00       0.013             94.691
## PC1074 1074 1.314970e+00       0.013             94.704
## PC1075 1075 1.313834e+00       0.013             94.717
## PC1076 1076 1.311018e+00       0.013             94.730
## PC1077 1077 1.309848e+00       0.013             94.743
## PC1078 1078 1.308906e+00       0.013             94.756
## PC1079 1079 1.307562e+00       0.013             94.769
## PC1080 1080 1.305807e+00       0.013             94.781
## PC1081 1081 1.304999e+00       0.013             94.794
## PC1082 1082 1.303336e+00       0.013             94.807
## PC1083 1083 1.302850e+00       0.013             94.820
## PC1084 1084 1.302033e+00       0.013             94.833
## PC1085 1085 1.299268e+00       0.013             94.846
## PC1086 1086 1.297955e+00       0.013             94.858
## PC1087 1087 1.296555e+00       0.013             94.871
## PC1088 1088 1.295444e+00       0.013             94.884
## PC1089 1089 1.293975e+00       0.013             94.896
## PC1090 1090 1.292067e+00       0.013             94.909
## PC1091 1091 1.289166e+00       0.013             94.921
## PC1092 1092 1.287697e+00       0.013             94.934
## PC1093 1093 1.286905e+00       0.013             94.946
## PC1094 1094 1.286472e+00       0.013             94.959
## PC1095 1095 1.283611e+00       0.012             94.971
## PC1096 1096 1.282918e+00       0.012             94.984
## PC1097 1097 1.282420e+00       0.012             94.996
## PC1098 1098 1.281282e+00       0.012             95.009
## PC1099 1099 1.280969e+00       0.012             95.021
## PC1100 1100 1.280218e+00       0.012             95.033
## PC1101 1101 1.279248e+00       0.012             95.046
## PC1102 1102 1.278009e+00       0.012             95.058
## PC1103 1103 1.276142e+00       0.012             95.070
## PC1104 1104 1.274232e+00       0.012             95.083
## PC1105 1105 1.270939e+00       0.012             95.095
## PC1106 1106 1.270552e+00       0.012             95.107
## PC1107 1107 1.269053e+00       0.012             95.119
## PC1108 1108 1.266782e+00       0.012             95.131
## PC1109 1109 1.264561e+00       0.012             95.144
## PC1110 1110 1.263586e+00       0.012             95.156
## PC1111 1111 1.263179e+00       0.012             95.168
## PC1112 1112 1.261522e+00       0.012             95.180
## PC1113 1113 1.261177e+00       0.012             95.192
## PC1114 1114 1.257976e+00       0.012             95.204
## PC1115 1115 1.257619e+00       0.012             95.216
## PC1116 1116 1.256538e+00       0.012             95.228
## PC1117 1117 1.254104e+00       0.012             95.239
## PC1118 1118 1.252464e+00       0.012             95.251
## PC1119 1119 1.250234e+00       0.012             95.263
## PC1120 1120 1.249219e+00       0.012             95.275
## PC1121 1121 1.248272e+00       0.012             95.287
## PC1122 1122 1.247014e+00       0.012             95.298
## PC1123 1123 1.246107e+00       0.012             95.310
## PC1124 1124 1.244412e+00       0.012             95.322
## PC1125 1125 1.243154e+00       0.012             95.333
## PC1126 1126 1.241278e+00       0.012             95.345
## PC1127 1127 1.240348e+00       0.012             95.357
## PC1128 1128 1.239064e+00       0.012             95.368
## PC1129 1129 1.237771e+00       0.012             95.380
## PC1130 1130 1.237074e+00       0.012             95.391
## PC1131 1131 1.235660e+00       0.012             95.403
## PC1132 1132 1.234751e+00       0.012             95.415
## PC1133 1133 1.232292e+00       0.011             95.426
## PC1134 1134 1.231501e+00       0.011             95.437
## PC1135 1135 1.229855e+00       0.011             95.449
## PC1136 1136 1.229080e+00       0.011             95.460
## PC1137 1137 1.226967e+00       0.011             95.472
## PC1138 1138 1.225775e+00       0.011             95.483
## PC1139 1139 1.225360e+00       0.011             95.494
## PC1140 1140 1.224452e+00       0.011             95.506
## PC1141 1141 1.223053e+00       0.011             95.517
## PC1142 1142 1.220786e+00       0.011             95.528
## PC1143 1143 1.219301e+00       0.011             95.539
## PC1144 1144 1.218172e+00       0.011             95.551
## PC1145 1145 1.217320e+00       0.011             95.562
## PC1146 1146 1.216669e+00       0.011             95.573
## PC1147 1147 1.215380e+00       0.011             95.584
## PC1148 1148 1.213271e+00       0.011             95.595
## PC1149 1149 1.212661e+00       0.011             95.606
## PC1150 1150 1.211315e+00       0.011             95.618
## PC1151 1151 1.210793e+00       0.011             95.629
## PC1152 1152 1.210319e+00       0.011             95.640
## PC1153 1153 1.206514e+00       0.011             95.651
## PC1154 1154 1.206104e+00       0.011             95.662
## PC1155 1155 1.205769e+00       0.011             95.673
## PC1156 1156 1.203843e+00       0.011             95.684
## PC1157 1157 1.202336e+00       0.011             95.695
## PC1158 1158 1.200431e+00       0.011             95.705
## PC1159 1159 1.199485e+00       0.011             95.716
## PC1160 1160 1.198388e+00       0.011             95.727
## PC1161 1161 1.196573e+00       0.011             95.738
## PC1162 1162 1.194160e+00       0.011             95.749
## PC1163 1163 1.193848e+00       0.011             95.759
## PC1164 1164 1.193055e+00       0.011             95.770
## PC1165 1165 1.191593e+00       0.011             95.781
## PC1166 1166 1.191200e+00       0.011             95.792
## PC1167 1167 1.190946e+00       0.011             95.802
## PC1168 1168 1.189178e+00       0.011             95.813
## PC1169 1169 1.186450e+00       0.011             95.824
## PC1170 1170 1.185241e+00       0.011             95.834
## PC1171 1171 1.183949e+00       0.011             95.845
## PC1172 1172 1.181878e+00       0.011             95.855
## PC1173 1173 1.181054e+00       0.011             95.866
## PC1174 1174 1.180026e+00       0.011             95.877
## PC1175 1175 1.179011e+00       0.011             95.887
## PC1176 1176 1.178634e+00       0.010             95.898
## PC1177 1177 1.178477e+00       0.010             95.908
## PC1178 1178 1.175234e+00       0.010             95.918
## PC1179 1179 1.174252e+00       0.010             95.929
## PC1180 1180 1.172777e+00       0.010             95.939
## PC1181 1181 1.172628e+00       0.010             95.950
## PC1182 1182 1.170637e+00       0.010             95.960
## PC1183 1183 1.169594e+00       0.010             95.970
## PC1184 1184 1.168349e+00       0.010             95.981
## PC1185 1185 1.167214e+00       0.010             95.991
## PC1186 1186 1.166867e+00       0.010             96.001
## PC1187 1187 1.164940e+00       0.010             96.011
## PC1188 1188 1.163648e+00       0.010             96.022
## PC1189 1189 1.163240e+00       0.010             96.032
## PC1190 1190 1.162577e+00       0.010             96.042
## PC1191 1191 1.162372e+00       0.010             96.052
## PC1192 1192 1.160473e+00       0.010             96.063
## PC1193 1193 1.159481e+00       0.010             96.073
## PC1194 1194 1.157894e+00       0.010             96.083
## PC1195 1195 1.157086e+00       0.010             96.093
## PC1196 1196 1.156242e+00       0.010             96.103
## PC1197 1197 1.155052e+00       0.010             96.113
## PC1198 1198 1.154312e+00       0.010             96.123
## PC1199 1199 1.153218e+00       0.010             96.133
## PC1200 1200 1.151954e+00       0.010             96.143
## PC1201 1201 1.149564e+00       0.010             96.153
## PC1202 1202 1.148504e+00       0.010             96.163
## PC1203 1203 1.146914e+00       0.010             96.173
## PC1204 1204 1.146718e+00       0.010             96.183
## PC1205 1205 1.145970e+00       0.010             96.193
## PC1206 1206 1.144561e+00       0.010             96.203
## PC1207 1207 1.143438e+00       0.010             96.213
## PC1208 1208 1.141473e+00       0.010             96.223
## PC1209 1209 1.141266e+00       0.010             96.232
## PC1210 1210 1.139975e+00       0.010             96.242
## PC1211 1211 1.138634e+00       0.010             96.252
## PC1212 1212 1.136025e+00       0.010             96.262
## PC1213 1213 1.135278e+00       0.010             96.272
## PC1214 1214 1.132620e+00       0.010             96.281
## PC1215 1215 1.131604e+00       0.010             96.291
## PC1216 1216 1.130561e+00       0.010             96.301
## PC1217 1217 1.129690e+00       0.010             96.310
## PC1218 1218 1.129125e+00       0.010             96.320
## PC1219 1219 1.128266e+00       0.010             96.329
## PC1220 1220 1.127400e+00       0.010             96.339
## PC1221 1221 1.125921e+00       0.010             96.349
## PC1222 1222 1.125383e+00       0.010             96.358
## PC1223 1223 1.124120e+00       0.010             96.368
## PC1224 1224 1.122292e+00       0.010             96.377
## PC1225 1225 1.121188e+00       0.009             96.387
## PC1226 1226 1.120501e+00       0.009             96.396
## PC1227 1227 1.119915e+00       0.009             96.406
## PC1228 1228 1.118842e+00       0.009             96.415
## PC1229 1229 1.117655e+00       0.009             96.425
## PC1230 1230 1.116904e+00       0.009             96.434
## PC1231 1231 1.116348e+00       0.009             96.443
## PC1232 1232 1.115010e+00       0.009             96.453
## PC1233 1233 1.113120e+00       0.009             96.462
## PC1234 1234 1.112192e+00       0.009             96.472
## PC1235 1235 1.111656e+00       0.009             96.481
## PC1236 1236 1.111436e+00       0.009             96.490
## PC1237 1237 1.110535e+00       0.009             96.500
## PC1238 1238 1.109573e+00       0.009             96.509
## PC1239 1239 1.107320e+00       0.009             96.518
## PC1240 1240 1.105876e+00       0.009             96.527
## PC1241 1241 1.104762e+00       0.009             96.537
## PC1242 1242 1.103938e+00       0.009             96.546
## PC1243 1243 1.103610e+00       0.009             96.555
## PC1244 1244 1.102050e+00       0.009             96.564
## PC1245 1245 1.101381e+00       0.009             96.573
## PC1246 1246 1.100753e+00       0.009             96.582
## PC1247 1247 1.099710e+00       0.009             96.592
## PC1248 1248 1.097559e+00       0.009             96.601
## PC1249 1249 1.097301e+00       0.009             96.610
## PC1250 1250 1.095873e+00       0.009             96.619
## PC1251 1251 1.095202e+00       0.009             96.628
## PC1252 1252 1.094258e+00       0.009             96.637
## PC1253 1253 1.093650e+00       0.009             96.646
## PC1254 1254 1.092897e+00       0.009             96.655
## PC1255 1255 1.091435e+00       0.009             96.664
## PC1256 1256 1.090450e+00       0.009             96.673
## PC1257 1257 1.089298e+00       0.009             96.682
## PC1258 1258 1.088413e+00       0.009             96.691
## PC1259 1259 1.087769e+00       0.009             96.700
## PC1260 1260 1.086540e+00       0.009             96.709
## PC1261 1261 1.085266e+00       0.009             96.718
## PC1262 1262 1.084309e+00       0.009             96.727
## PC1263 1263 1.083931e+00       0.009             96.735
## PC1264 1264 1.082413e+00       0.009             96.744
## PC1265 1265 1.080683e+00       0.009             96.753
## PC1266 1266 1.080117e+00       0.009             96.762
## PC1267 1267 1.078914e+00       0.009             96.771
## PC1268 1268 1.077999e+00       0.009             96.780
## PC1269 1269 1.077252e+00       0.009             96.788
## PC1270 1270 1.076438e+00       0.009             96.797
## PC1271 1271 1.075391e+00       0.009             96.806
## PC1272 1272 1.074636e+00       0.009             96.814
## PC1273 1273 1.073959e+00       0.009             96.823
## PC1274 1274 1.072722e+00       0.009             96.832
## PC1275 1275 1.072200e+00       0.009             96.841
## PC1276 1276 1.072060e+00       0.009             96.849
## PC1277 1277 1.070434e+00       0.009             96.858
## PC1278 1278 1.069379e+00       0.009             96.867
## PC1279 1279 1.067834e+00       0.009             96.875
## PC1280 1280 1.067458e+00       0.009             96.884
## PC1281 1281 1.066656e+00       0.009             96.892
## PC1282 1282 1.066410e+00       0.009             96.901
## PC1283 1283 1.065170e+00       0.009             96.910
## PC1284 1284 1.064239e+00       0.009             96.918
## PC1285 1285 1.063931e+00       0.009             96.927
## PC1286 1286 1.063301e+00       0.009             96.935
## PC1287 1287 1.062427e+00       0.009             96.944
## PC1288 1288 1.061934e+00       0.009             96.952
## PC1289 1289 1.061524e+00       0.009             96.961
## PC1290 1290 1.060319e+00       0.008             96.969
## PC1291 1291 1.059975e+00       0.008             96.978
## PC1292 1292 1.058907e+00       0.008             96.986
## PC1293 1293 1.058795e+00       0.008             96.995
## PC1294 1294 1.057955e+00       0.008             97.003
## PC1295 1295 1.057381e+00       0.008             97.012
## PC1296 1296 1.056689e+00       0.008             97.020
## PC1297 1297 1.055594e+00       0.008             97.028
## PC1298 1298 1.055006e+00       0.008             97.037
## PC1299 1299 1.054227e+00       0.008             97.045
## PC1300 1300 1.053533e+00       0.008             97.054
## PC1301 1301 1.053263e+00       0.008             97.062
## PC1302 1302 1.052778e+00       0.008             97.070
## PC1303 1303 1.052453e+00       0.008             97.079
## PC1304 1304 1.051087e+00       0.008             97.087
## PC1305 1305 1.050628e+00       0.008             97.095
## PC1306 1306 1.050203e+00       0.008             97.104
## PC1307 1307 1.049447e+00       0.008             97.112
## PC1308 1308 1.048417e+00       0.008             97.120
## PC1309 1309 1.048127e+00       0.008             97.129
## PC1310 1310 1.047534e+00       0.008             97.137
## PC1311 1311 1.046000e+00       0.008             97.145
## PC1312 1312 1.045329e+00       0.008             97.154
## PC1313 1313 1.044978e+00       0.008             97.162
## PC1314 1314 1.044255e+00       0.008             97.170
## PC1315 1315 1.043993e+00       0.008             97.178
## PC1316 1316 1.042514e+00       0.008             97.186
## PC1317 1317 1.041615e+00       0.008             97.195
## PC1318 1318 1.040904e+00       0.008             97.203
## PC1319 1319 1.040204e+00       0.008             97.211
## PC1320 1320 1.039522e+00       0.008             97.219
## PC1321 1321 1.039205e+00       0.008             97.227
## PC1322 1322 1.038217e+00       0.008             97.235
## PC1323 1323 1.037973e+00       0.008             97.244
## PC1324 1324 1.037401e+00       0.008             97.252
## PC1325 1325 1.037136e+00       0.008             97.260
## PC1326 1326 1.036839e+00       0.008             97.268
## PC1327 1327 1.036182e+00       0.008             97.276
## PC1328 1328 1.034783e+00       0.008             97.284
## PC1329 1329 1.033642e+00       0.008             97.292
## PC1330 1330 1.032762e+00       0.008             97.300
## PC1331 1331 1.032492e+00       0.008             97.308
## PC1332 1332 1.031806e+00       0.008             97.316
## PC1333 1333 1.031076e+00       0.008             97.324
## PC1334 1334 1.030472e+00       0.008             97.332
## PC1335 1335 1.029833e+00       0.008             97.340
## PC1336 1336 1.029515e+00       0.008             97.348
## PC1337 1337 1.028413e+00       0.008             97.356
## PC1338 1338 1.027616e+00       0.008             97.364
## PC1339 1339 1.027073e+00       0.008             97.372
## PC1340 1340 1.026833e+00       0.008             97.380
## PC1341 1341 1.025312e+00       0.008             97.388
## PC1342 1342 1.025260e+00       0.008             97.396
## PC1343 1343 1.023771e+00       0.008             97.404
## PC1344 1344 1.023481e+00       0.008             97.412
## PC1345 1345 1.023133e+00       0.008             97.420
## PC1346 1346 1.022415e+00       0.008             97.428
## PC1347 1347 1.021875e+00       0.008             97.436
## PC1348 1348 1.020458e+00       0.008             97.444
## PC1349 1349 1.020158e+00       0.008             97.452
## PC1350 1350 1.019719e+00       0.008             97.459
## PC1351 1351 1.019021e+00       0.008             97.467
## PC1352 1352 1.018127e+00       0.008             97.475
## PC1353 1353 1.017390e+00       0.008             97.483
## PC1354 1354 1.017124e+00       0.008             97.491
## PC1355 1355 1.016220e+00       0.008             97.498
## PC1356 1356 1.015959e+00       0.008             97.506
## PC1357 1357 1.015518e+00       0.008             97.514
## PC1358 1358 1.014462e+00       0.008             97.522
## PC1359 1359 1.014451e+00       0.008             97.530
## PC1360 1360 1.013989e+00       0.008             97.537
## PC1361 1361 1.013407e+00       0.008             97.545
## PC1362 1362 1.012921e+00       0.008             97.553
## PC1363 1363 1.012711e+00       0.008             97.561
## PC1364 1364 1.011679e+00       0.008             97.568
## PC1365 1365 1.011392e+00       0.008             97.576
## PC1366 1366 1.011059e+00       0.008             97.584
## PC1367 1367 1.010626e+00       0.008             97.592
## PC1368 1368 1.010292e+00       0.008             97.599
## PC1369 1369 1.010196e+00       0.008             97.607
## PC1370 1370 1.009958e+00       0.008             97.615
## PC1371 1371 1.009564e+00       0.008             97.622
## PC1372 1372 1.009118e+00       0.008             97.630
## PC1373 1373 1.008974e+00       0.008             97.638
## PC1374 1374 1.008372e+00       0.008             97.645
## PC1375 1375 1.008160e+00       0.008             97.653
## PC1376 1376 1.007807e+00       0.008             97.661
## PC1377 1377 1.007710e+00       0.008             97.668
## PC1378 1378 1.007546e+00       0.008             97.676
## PC1379 1379 1.007174e+00       0.008             97.684
## PC1380 1380 1.006802e+00       0.008             97.691
## PC1381 1381 1.006309e+00       0.008             97.699
## PC1382 1382 1.005954e+00       0.008             97.707
## PC1383 1383 1.005594e+00       0.008             97.714
## PC1384 1384 1.005262e+00       0.008             97.722
## PC1385 1385 1.004852e+00       0.008             97.730
## PC1386 1386 1.004549e+00       0.008             97.737
## PC1387 1387 1.004426e+00       0.008             97.745
## PC1388 1388 1.004138e+00       0.008             97.753
## PC1389 1389 1.003896e+00       0.008             97.760
## PC1390 1390 1.003738e+00       0.008             97.768
## PC1391 1391 1.003624e+00       0.008             97.775
## PC1392 1392 1.003493e+00       0.008             97.783
## PC1393 1393 1.003152e+00       0.008             97.791
## PC1394 1394 1.003108e+00       0.008             97.798
## PC1395 1395 1.002893e+00       0.008             97.806
## PC1396 1396 1.002810e+00       0.008             97.813
## PC1397 1397 1.002599e+00       0.008             97.821
## PC1398 1398 1.002498e+00       0.008             97.829
## PC1399 1399 1.002442e+00       0.008             97.836
## PC1400 1400 1.002277e+00       0.008             97.844
## PC1401 1401 1.002137e+00       0.008             97.851
## PC1402 1402 1.002078e+00       0.008             97.859
## PC1403 1403 1.001904e+00       0.008             97.866
## PC1404 1404 1.001762e+00       0.008             97.874
## PC1405 1405 1.001721e+00       0.008             97.882
## PC1406 1406 1.001625e+00       0.008             97.889
## PC1407 1407 1.001542e+00       0.008             97.897
## PC1408 1408 1.001494e+00       0.008             97.904
## PC1409 1409 1.001445e+00       0.008             97.912
## PC1410 1410 1.001342e+00       0.008             97.920
## PC1411 1411 1.001241e+00       0.008             97.927
## PC1412 1412 1.001185e+00       0.008             97.935
## PC1413 1413 1.001021e+00       0.008             97.942
## PC1414 1414 1.000967e+00       0.008             97.950
## PC1415 1415 1.000903e+00       0.008             97.957
## PC1416 1416 1.000841e+00       0.008             97.965
## PC1417 1417 1.000804e+00       0.008             97.973
## PC1418 1418 1.000736e+00       0.008             97.980
## PC1419 1419 1.000701e+00       0.008             97.988
## PC1420 1420 1.000618e+00       0.008             97.995
## PC1421 1421 1.000594e+00       0.008             98.003
## PC1422 1422 1.000523e+00       0.008             98.010
## PC1423 1423 1.000492e+00       0.008             98.018
## PC1424 1424 1.000466e+00       0.008             98.025
## PC1425 1425 1.000442e+00       0.008             98.033
## PC1426 1426 1.000378e+00       0.008             98.041
## PC1427 1427 1.000317e+00       0.008             98.048
## PC1428 1428 1.000294e+00       0.008             98.056
## PC1429 1429 1.000274e+00       0.008             98.063
## PC1430 1430 1.000241e+00       0.008             98.071
## PC1431 1431 1.000227e+00       0.008             98.078
## PC1432 1432 1.000219e+00       0.008             98.086
## PC1433 1433 1.000213e+00       0.008             98.094
## PC1434 1434 1.000200e+00       0.008             98.101
## PC1435 1435 1.000200e+00       0.008             98.109
## PC1436 1436 1.000200e+00       0.008             98.116
## PC1437 1437 1.000200e+00       0.008             98.124
## PC1438 1438 1.000200e+00       0.008             98.131
## PC1439 1439 1.000200e+00       0.008             98.139
## PC1440 1440 1.000200e+00       0.008             98.146
## PC1441 1441 1.000200e+00       0.008             98.154
## PC1442 1442 1.000200e+00       0.008             98.162
## PC1443 1443 9.998146e-01       0.008             98.169
## PC1444 1444 9.994420e-01       0.008             98.177
## PC1445 1445 9.984137e-01       0.008             98.184
## PC1446 1446 9.981597e-01       0.008             98.192
## PC1447 1447 9.973074e-01       0.008             98.199
## PC1448 1448 9.956014e-01       0.007             98.207
## PC1449 1449 9.941543e-01       0.007             98.214
## PC1450 1450 9.929211e-01       0.007             98.222
## PC1451 1451 9.903309e-01       0.007             98.229
## PC1452 1452 9.839410e-01       0.007             98.236
## PC1453 1453 9.826954e-01       0.007             98.244
## PC1454 1454 9.805078e-01       0.007             98.251
## PC1455 1455 9.795915e-01       0.007             98.258
## PC1456 1456 9.773143e-01       0.007             98.265
## PC1457 1457 9.767926e-01       0.007             98.273
## PC1458 1458 9.756790e-01       0.007             98.280
## PC1459 1459 9.707062e-01       0.007             98.287
## PC1460 1460 9.701269e-01       0.007             98.294
## PC1461 1461 9.699364e-01       0.007             98.301
## PC1462 1462 9.680169e-01       0.007             98.308
## PC1463 1463 9.671924e-01       0.007             98.315
## PC1464 1464 9.640979e-01       0.007             98.322
## PC1465 1465 9.628725e-01       0.007             98.329
## PC1466 1466 9.625976e-01       0.007             98.336
## PC1467 1467 9.607774e-01       0.007             98.343
## PC1468 1468 9.588597e-01       0.007             98.350
## PC1469 1469 9.577389e-01       0.007             98.357
## PC1470 1470 9.565746e-01       0.007             98.364
## PC1471 1471 9.544842e-01       0.007             98.371
## PC1472 1472 9.531472e-01       0.007             98.378
## PC1473 1473 9.476009e-01       0.007             98.385
## PC1474 1474 9.467129e-01       0.007             98.391
## PC1475 1475 9.454722e-01       0.007             98.398
## PC1476 1476 9.445056e-01       0.007             98.405
## PC1477 1477 9.426537e-01       0.007             98.412
## PC1478 1478 9.425835e-01       0.007             98.418
## PC1479 1479 9.375792e-01       0.007             98.425
## PC1480 1480 9.369685e-01       0.007             98.432
## PC1481 1481 9.356083e-01       0.007             98.438
## PC1482 1482 9.354639e-01       0.007             98.445
## PC1483 1483 9.335931e-01       0.007             98.451
## PC1484 1484 9.330424e-01       0.007             98.458
## PC1485 1485 9.315406e-01       0.007             98.464
## PC1486 1486 9.294404e-01       0.007             98.471
## PC1487 1487 9.288531e-01       0.007             98.477
## PC1488 1488 9.275747e-01       0.007             98.484
## PC1489 1489 9.246577e-01       0.006             98.490
## PC1490 1490 9.245109e-01       0.006             98.497
## PC1491 1491 9.230880e-01       0.006             98.503
## PC1492 1492 9.193523e-01       0.006             98.510
## PC1493 1493 9.171881e-01       0.006             98.516
## PC1494 1494 9.160974e-01       0.006             98.522
## PC1495 1495 9.142935e-01       0.006             98.529
## PC1496 1496 9.111220e-01       0.006             98.535
## PC1497 1497 9.108921e-01       0.006             98.541
## PC1498 1498 9.094401e-01       0.006             98.548
## PC1499 1499 9.090627e-01       0.006             98.554
## PC1500 1500 9.075742e-01       0.006             98.560
## PC1501 1501 9.058888e-01       0.006             98.566
## PC1502 1502 9.051698e-01       0.006             98.572
## PC1503 1503 9.030510e-01       0.006             98.579
## PC1504 1504 9.001439e-01       0.006             98.585
## PC1505 1505 9.000052e-01       0.006             98.591
## PC1506 1506 8.968007e-01       0.006             98.597
## PC1507 1507 8.958813e-01       0.006             98.603
## PC1508 1508 8.949819e-01       0.006             98.609
## PC1509 1509 8.948393e-01       0.006             98.615
## PC1510 1510 8.936821e-01       0.006             98.621
## PC1511 1511 8.929359e-01       0.006             98.627
## PC1512 1512 8.913170e-01       0.006             98.633
## PC1513 1513 8.902154e-01       0.006             98.639
## PC1514 1514 8.888980e-01       0.006             98.645
## PC1515 1515 8.883043e-01       0.006             98.651
## PC1516 1516 8.865139e-01       0.006             98.657
## PC1517 1517 8.851798e-01       0.006             98.663
## PC1518 1518 8.843079e-01       0.006             98.669
## PC1519 1519 8.830340e-01       0.006             98.675
## PC1520 1520 8.826507e-01       0.006             98.681
## PC1521 1521 8.807454e-01       0.006             98.686
## PC1522 1522 8.798294e-01       0.006             98.692
## PC1523 1523 8.793262e-01       0.006             98.698
## PC1524 1524 8.774967e-01       0.006             98.704
## PC1525 1525 8.769680e-01       0.006             98.710
## PC1526 1526 8.747569e-01       0.006             98.716
## PC1527 1527 8.737731e-01       0.006             98.721
## PC1528 1528 8.720192e-01       0.006             98.727
## PC1529 1529 8.715077e-01       0.006             98.733
## PC1530 1530 8.698806e-01       0.006             98.738
## PC1531 1531 8.687983e-01       0.006             98.744
## PC1532 1532 8.676573e-01       0.006             98.750
## PC1533 1533 8.662249e-01       0.006             98.756
## PC1534 1534 8.651624e-01       0.006             98.761
## PC1535 1535 8.642636e-01       0.006             98.767
## PC1536 1536 8.635477e-01       0.006             98.772
## PC1537 1537 8.617272e-01       0.006             98.778
## PC1538 1538 8.605316e-01       0.006             98.784
## PC1539 1539 8.594905e-01       0.006             98.789
## PC1540 1540 8.563007e-01       0.006             98.795
## PC1541 1541 8.545686e-01       0.006             98.800
## PC1542 1542 8.533312e-01       0.006             98.806
## PC1543 1543 8.524226e-01       0.005             98.811
## PC1544 1544 8.512293e-01       0.005             98.817
## PC1545 1545 8.491843e-01       0.005             98.822
## PC1546 1546 8.482320e-01       0.005             98.828
## PC1547 1547 8.474563e-01       0.005             98.833
## PC1548 1548 8.465409e-01       0.005             98.839
## PC1549 1549 8.436285e-01       0.005             98.844
## PC1550 1550 8.415694e-01       0.005             98.849
## PC1551 1551 8.413686e-01       0.005             98.855
## PC1552 1552 8.400054e-01       0.005             98.860
## PC1553 1553 8.387013e-01       0.005             98.865
## PC1554 1554 8.375130e-01       0.005             98.871
## PC1555 1555 8.372858e-01       0.005             98.876
## PC1556 1556 8.352294e-01       0.005             98.881
## PC1557 1557 8.318535e-01       0.005             98.886
## PC1558 1558 8.314685e-01       0.005             98.892
## PC1559 1559 8.287743e-01       0.005             98.897
## PC1560 1560 8.271028e-01       0.005             98.902
## PC1561 1561 8.242124e-01       0.005             98.907
## PC1562 1562 8.240431e-01       0.005             98.912
## PC1563 1563 8.219836e-01       0.005             98.917
## PC1564 1564 8.208485e-01       0.005             98.922
## PC1565 1565 8.189597e-01       0.005             98.927
## PC1566 1566 8.186816e-01       0.005             98.932
## PC1567 1567 8.185650e-01       0.005             98.938
## PC1568 1568 8.168805e-01       0.005             98.943
## PC1569 1569 8.154499e-01       0.005             98.948
## PC1570 1570 8.147075e-01       0.005             98.953
## PC1571 1571 8.136022e-01       0.005             98.958
## PC1572 1572 8.117295e-01       0.005             98.963
## PC1573 1573 8.109498e-01       0.005             98.968
## PC1574 1574 8.101023e-01       0.005             98.973
## PC1575 1575 8.091989e-01       0.005             98.977
## PC1576 1576 8.084138e-01       0.005             98.982
## PC1577 1577 8.071920e-01       0.005             98.987
## PC1578 1578 8.051728e-01       0.005             98.992
## PC1579 1579 8.044991e-01       0.005             98.997
## PC1580 1580 8.035209e-01       0.005             99.002
## PC1581 1581 8.017257e-01       0.005             99.007
## PC1582 1582 8.016738e-01       0.005             99.012
## PC1583 1583 8.012077e-01       0.005             99.017
## PC1584 1584 8.002590e-01       0.005             99.021
## PC1585 1585 7.977638e-01       0.005             99.026
## PC1586 1586 7.966140e-01       0.005             99.031
## PC1587 1587 7.954916e-01       0.005             99.036
## PC1588 1588 7.939934e-01       0.005             99.041
## PC1589 1589 7.931241e-01       0.005             99.045
## PC1590 1590 7.923468e-01       0.005             99.050
## PC1591 1591 7.899571e-01       0.005             99.055
## PC1592 1592 7.895515e-01       0.005             99.059
## PC1593 1593 7.890481e-01       0.005             99.064
## PC1594 1594 7.878604e-01       0.005             99.069
## PC1595 1595 7.870065e-01       0.005             99.074
## PC1596 1596 7.854925e-01       0.005             99.078
## PC1597 1597 7.845621e-01       0.005             99.083
## PC1598 1598 7.825398e-01       0.005             99.087
## PC1599 1599 7.788697e-01       0.005             99.092
## PC1600 1600 7.785866e-01       0.005             99.097
## PC1601 1601 7.768905e-01       0.005             99.101
## PC1602 1602 7.759713e-01       0.005             99.106
## PC1603 1603 7.745608e-01       0.005             99.110
## PC1604 1604 7.726041e-01       0.005             99.115
## PC1605 1605 7.722221e-01       0.005             99.119
## PC1606 1606 7.714671e-01       0.004             99.124
## PC1607 1607 7.684420e-01       0.004             99.128
## PC1608 1608 7.666440e-01       0.004             99.133
## PC1609 1609 7.657536e-01       0.004             99.137
## PC1610 1610 7.632971e-01       0.004             99.142
## PC1611 1611 7.604440e-01       0.004             99.146
## PC1612 1612 7.598300e-01       0.004             99.150
## PC1613 1613 7.589764e-01       0.004             99.155
## PC1614 1614 7.577764e-01       0.004             99.159
## PC1615 1615 7.574289e-01       0.004             99.163
## PC1616 1616 7.563439e-01       0.004             99.168
## PC1617 1617 7.540271e-01       0.004             99.172
## PC1618 1618 7.530487e-01       0.004             99.176
## PC1619 1619 7.523223e-01       0.004             99.180
## PC1620 1620 7.514121e-01       0.004             99.185
## PC1621 1621 7.492435e-01       0.004             99.189
## PC1622 1622 7.487696e-01       0.004             99.193
## PC1623 1623 7.466653e-01       0.004             99.197
## PC1624 1624 7.453431e-01       0.004             99.202
## PC1625 1625 7.434465e-01       0.004             99.206
## PC1626 1626 7.430439e-01       0.004             99.210
## PC1627 1627 7.411670e-01       0.004             99.214
## PC1628 1628 7.394868e-01       0.004             99.218
## PC1629 1629 7.387668e-01       0.004             99.222
## PC1630 1630 7.378257e-01       0.004             99.226
## PC1631 1631 7.366571e-01       0.004             99.231
## PC1632 1632 7.359195e-01       0.004             99.235
## PC1633 1633 7.339337e-01       0.004             99.239
## PC1634 1634 7.327996e-01       0.004             99.243
## PC1635 1635 7.316882e-01       0.004             99.247
## PC1636 1636 7.309974e-01       0.004             99.251
## PC1637 1637 7.267901e-01       0.004             99.255
## PC1638 1638 7.267321e-01       0.004             99.259
## PC1639 1639 7.238022e-01       0.004             99.263
## PC1640 1640 7.221996e-01       0.004             99.267
## PC1641 1641 7.199439e-01       0.004             99.271
## PC1642 1642 7.189731e-01       0.004             99.275
## PC1643 1643 7.177039e-01       0.004             99.278
## PC1644 1644 7.160395e-01       0.004             99.282
## PC1645 1645 7.155155e-01       0.004             99.286
## PC1646 1646 7.141627e-01       0.004             99.290
## PC1647 1647 7.128302e-01       0.004             99.294
## PC1648 1648 7.108885e-01       0.004             99.298
## PC1649 1649 7.095682e-01       0.004             99.302
## PC1650 1650 7.089681e-01       0.004             99.305
## PC1651 1651 7.059284e-01       0.004             99.309
## PC1652 1652 7.047206e-01       0.004             99.313
## PC1653 1653 7.035060e-01       0.004             99.317
## PC1654 1654 7.013309e-01       0.004             99.320
## PC1655 1655 6.999506e-01       0.004             99.324
## PC1656 1656 6.959564e-01       0.004             99.328
## PC1657 1657 6.956608e-01       0.004             99.331
## PC1658 1658 6.947173e-01       0.004             99.335
## PC1659 1659 6.940439e-01       0.004             99.339
## PC1660 1660 6.917258e-01       0.004             99.342
## PC1661 1661 6.905959e-01       0.004             99.346
## PC1662 1662 6.888511e-01       0.004             99.349
## PC1663 1663 6.872957e-01       0.004             99.353
## PC1664 1664 6.868192e-01       0.004             99.357
## PC1665 1665 6.854937e-01       0.004             99.360
## PC1666 1666 6.843178e-01       0.004             99.364
## PC1667 1667 6.826294e-01       0.004             99.367
## PC1668 1668 6.812011e-01       0.004             99.371
## PC1669 1669 6.804726e-01       0.003             99.374
## PC1670 1670 6.789776e-01       0.003             99.378
## PC1671 1671 6.773899e-01       0.003             99.381
## PC1672 1672 6.763988e-01       0.003             99.385
## PC1673 1673 6.754512e-01       0.003             99.388
## PC1674 1674 6.748291e-01       0.003             99.391
## PC1675 1675 6.734495e-01       0.003             99.395
## PC1676 1676 6.733472e-01       0.003             99.398
## PC1677 1677 6.729432e-01       0.003             99.402
## PC1678 1678 6.708709e-01       0.003             99.405
## PC1679 1679 6.696435e-01       0.003             99.408
## PC1680 1680 6.686150e-01       0.003             99.412
## PC1681 1681 6.678310e-01       0.003             99.415
## PC1682 1682 6.670527e-01       0.003             99.419
## PC1683 1683 6.653524e-01       0.003             99.422
## PC1684 1684 6.646276e-01       0.003             99.425
## PC1685 1685 6.637347e-01       0.003             99.429
## PC1686 1686 6.618271e-01       0.003             99.432
## PC1687 1687 6.609970e-01       0.003             99.435
## PC1688 1688 6.606390e-01       0.003             99.439
## PC1689 1689 6.598759e-01       0.003             99.442
## PC1690 1690 6.583984e-01       0.003             99.445
## PC1691 1691 6.580438e-01       0.003             99.448
## PC1692 1692 6.571334e-01       0.003             99.452
## PC1693 1693 6.547480e-01       0.003             99.455
## PC1694 1694 6.543871e-01       0.003             99.458
## PC1695 1695 6.540809e-01       0.003             99.461
## PC1696 1696 6.507193e-01       0.003             99.465
## PC1697 1697 6.494272e-01       0.003             99.468
## PC1698 1698 6.487529e-01       0.003             99.471
## PC1699 1699 6.473726e-01       0.003             99.474
## PC1700 1700 6.449966e-01       0.003             99.477
## PC1701 1701 6.444757e-01       0.003             99.480
## PC1702 1702 6.428828e-01       0.003             99.483
## PC1703 1703 6.420381e-01       0.003             99.487
## PC1704 1704 6.407935e-01       0.003             99.490
## PC1705 1705 6.404836e-01       0.003             99.493
## PC1706 1706 6.372668e-01       0.003             99.496
## PC1707 1707 6.357141e-01       0.003             99.499
## PC1708 1708 6.341292e-01       0.003             99.502
## PC1709 1709 6.337147e-01       0.003             99.505
## PC1710 1710 6.327660e-01       0.003             99.508
## PC1711 1711 6.316072e-01       0.003             99.511
## PC1712 1712 6.307215e-01       0.003             99.514
## PC1713 1713 6.303022e-01       0.003             99.517
## PC1714 1714 6.289009e-01       0.003             99.520
## PC1715 1715 6.268909e-01       0.003             99.523
## PC1716 1716 6.265936e-01       0.003             99.526
## PC1717 1717 6.252314e-01       0.003             99.529
## PC1718 1718 6.248673e-01       0.003             99.532
## PC1719 1719 6.226274e-01       0.003             99.535
## PC1720 1720 6.221837e-01       0.003             99.538
## PC1721 1721 6.210216e-01       0.003             99.541
## PC1722 1722 6.206014e-01       0.003             99.544
## PC1723 1723 6.188148e-01       0.003             99.546
## PC1724 1724 6.171785e-01       0.003             99.549
## PC1725 1725 6.155545e-01       0.003             99.552
## PC1726 1726 6.149787e-01       0.003             99.555
## PC1727 1727 6.138299e-01       0.003             99.558
## PC1728 1728 6.132094e-01       0.003             99.561
## PC1729 1729 6.126467e-01       0.003             99.564
## PC1730 1730 6.103638e-01       0.003             99.566
## PC1731 1731 6.081382e-01       0.003             99.569
## PC1732 1732 6.070862e-01       0.003             99.572
## PC1733 1733 6.037447e-01       0.003             99.575
## PC1734 1734 6.028338e-01       0.003             99.577
## PC1735 1735 6.017638e-01       0.003             99.580
## PC1736 1736 6.012508e-01       0.003             99.583
## PC1737 1737 5.995885e-01       0.003             99.586
## PC1738 1738 5.990742e-01       0.003             99.588
## PC1739 1739 5.978511e-01       0.003             99.591
## PC1740 1740 5.960366e-01       0.003             99.594
## PC1741 1741 5.951326e-01       0.003             99.596
## PC1742 1742 5.923650e-01       0.003             99.599
## PC1743 1743 5.913153e-01       0.003             99.602
## PC1744 1744 5.888545e-01       0.003             99.604
## PC1745 1745 5.884500e-01       0.003             99.607
## PC1746 1746 5.874705e-01       0.003             99.610
## PC1747 1747 5.860094e-01       0.003             99.612
## PC1748 1748 5.856808e-01       0.003             99.615
## PC1749 1749 5.842738e-01       0.003             99.617
## PC1750 1750 5.823442e-01       0.003             99.620
## PC1751 1751 5.814206e-01       0.003             99.622
## PC1752 1752 5.805997e-01       0.003             99.625
## PC1753 1753 5.788916e-01       0.003             99.627
## PC1754 1754 5.770885e-01       0.003             99.630
## PC1755 1755 5.753392e-01       0.003             99.632
## PC1756 1756 5.733755e-01       0.002             99.635
## PC1757 1757 5.723957e-01       0.002             99.637
## PC1758 1758 5.715654e-01       0.002             99.640
## PC1759 1759 5.699365e-01       0.002             99.642
## PC1760 1760 5.680560e-01       0.002             99.645
## PC1761 1761 5.666008e-01       0.002             99.647
## PC1762 1762 5.645777e-01       0.002             99.650
## PC1763 1763 5.632163e-01       0.002             99.652
## PC1764 1764 5.625683e-01       0.002             99.654
## PC1765 1765 5.601315e-01       0.002             99.657
## PC1766 1766 5.594817e-01       0.002             99.659
## PC1767 1767 5.583455e-01       0.002             99.662
## PC1768 1768 5.577842e-01       0.002             99.664
## PC1769 1769 5.561899e-01       0.002             99.666
## PC1770 1770 5.543660e-01       0.002             99.669
## PC1771 1771 5.526306e-01       0.002             99.671
## PC1772 1772 5.510259e-01       0.002             99.673
## PC1773 1773 5.502073e-01       0.002             99.675
## PC1774 1774 5.477764e-01       0.002             99.678
## PC1775 1775 5.469948e-01       0.002             99.680
## PC1776 1776 5.443353e-01       0.002             99.682
## PC1777 1777 5.435925e-01       0.002             99.684
## PC1778 1778 5.420809e-01       0.002             99.687
## PC1779 1779 5.399042e-01       0.002             99.689
## PC1780 1780 5.375968e-01       0.002             99.691
## PC1781 1781 5.368161e-01       0.002             99.693
## PC1782 1782 5.356802e-01       0.002             99.695
## PC1783 1783 5.345592e-01       0.002             99.698
## PC1784 1784 5.302700e-01       0.002             99.700
## PC1785 1785 5.294923e-01       0.002             99.702
## PC1786 1786 5.285766e-01       0.002             99.704
## PC1787 1787 5.274064e-01       0.002             99.706
## PC1788 1788 5.255695e-01       0.002             99.708
## PC1789 1789 5.254769e-01       0.002             99.710
## PC1790 1790 5.231412e-01       0.002             99.712
## PC1791 1791 5.224557e-01       0.002             99.714
## PC1792 1792 5.182209e-01       0.002             99.716
## PC1793 1793 5.180334e-01       0.002             99.718
## PC1794 1794 5.176782e-01       0.002             99.720
## PC1795 1795 5.169483e-01       0.002             99.722
## PC1796 1796 5.150321e-01       0.002             99.724
## PC1797 1797 5.133103e-01       0.002             99.726
## PC1798 1798 5.118396e-01       0.002             99.728
## PC1799 1799 5.099840e-01       0.002             99.730
## PC1800 1800 5.088981e-01       0.002             99.732
## PC1801 1801 5.075299e-01       0.002             99.734
## PC1802 1802 5.049145e-01       0.002             99.736
## PC1803 1803 5.041881e-01       0.002             99.738
## PC1804 1804 5.024145e-01       0.002             99.740
## PC1805 1805 5.020679e-01       0.002             99.742
## PC1806 1806 5.007093e-01       0.002             99.744
## PC1807 1807 4.997375e-01       0.002             99.746
## PC1808 1808 4.984969e-01       0.002             99.748
## PC1809 1809 4.972222e-01       0.002             99.749
## PC1810 1810 4.962536e-01       0.002             99.751
## PC1811 1811 4.942996e-01       0.002             99.753
## PC1812 1812 4.929022e-01       0.002             99.755
## PC1813 1813 4.920297e-01       0.002             99.757
## PC1814 1814 4.895180e-01       0.002             99.759
## PC1815 1815 4.890593e-01       0.002             99.760
## PC1816 1816 4.880200e-01       0.002             99.762
## PC1817 1817 4.876722e-01       0.002             99.764
## PC1818 1818 4.855545e-01       0.002             99.766
## PC1819 1819 4.846622e-01       0.002             99.768
## PC1820 1820 4.834669e-01       0.002             99.769
## PC1821 1821 4.826719e-01       0.002             99.771
## PC1822 1822 4.809811e-01       0.002             99.773
## PC1823 1823 4.793869e-01       0.002             99.775
## PC1824 1824 4.786898e-01       0.002             99.776
## PC1825 1825 4.770962e-01       0.002             99.778
## PC1826 1826 4.765781e-01       0.002             99.780
## PC1827 1827 4.757746e-01       0.002             99.781
## PC1828 1828 4.737879e-01       0.002             99.783
## PC1829 1829 4.709880e-01       0.002             99.785
## PC1830 1830 4.701515e-01       0.002             99.786
## PC1831 1831 4.676276e-01       0.002             99.788
## PC1832 1832 4.663568e-01       0.002             99.790
## PC1833 1833 4.643606e-01       0.002             99.791
## PC1834 1834 4.641434e-01       0.002             99.793
## PC1835 1835 4.632893e-01       0.002             99.795
## PC1836 1836 4.621981e-01       0.002             99.796
## PC1837 1837 4.617726e-01       0.002             99.798
## PC1838 1838 4.606902e-01       0.002             99.799
## PC1839 1839 4.580919e-01       0.002             99.801
## PC1840 1840 4.571662e-01       0.002             99.803
## PC1841 1841 4.558603e-01       0.002             99.804
## PC1842 1842 4.543291e-01       0.002             99.806
## PC1843 1843 4.540461e-01       0.002             99.807
## PC1844 1844 4.530229e-01       0.002             99.809
## PC1845 1845 4.526775e-01       0.002             99.810
## PC1846 1846 4.518151e-01       0.002             99.812
## PC1847 1847 4.502493e-01       0.002             99.813
## PC1848 1848 4.483989e-01       0.002             99.815
## PC1849 1849 4.472539e-01       0.002             99.817
## PC1850 1850 4.460236e-01       0.002             99.818
## PC1851 1851 4.446152e-01       0.001             99.820
## PC1852 1852 4.438224e-01       0.001             99.821
## PC1853 1853 4.420168e-01       0.001             99.822
## PC1854 1854 4.415782e-01       0.001             99.824
## PC1855 1855 4.406396e-01       0.001             99.825
## PC1856 1856 4.393092e-01       0.001             99.827
## PC1857 1857 4.368849e-01       0.001             99.828
## PC1858 1858 4.353585e-01       0.001             99.830
## PC1859 1859 4.345679e-01       0.001             99.831
## PC1860 1860 4.337435e-01       0.001             99.833
## PC1861 1861 4.331808e-01       0.001             99.834
## PC1862 1862 4.324781e-01       0.001             99.835
## PC1863 1863 4.316373e-01       0.001             99.837
## PC1864 1864 4.298697e-01       0.001             99.838
## PC1865 1865 4.297286e-01       0.001             99.840
## PC1866 1866 4.279438e-01       0.001             99.841
## PC1867 1867 4.267996e-01       0.001             99.842
## PC1868 1868 4.258420e-01       0.001             99.844
## PC1869 1869 4.252637e-01       0.001             99.845
## PC1870 1870 4.222582e-01       0.001             99.846
## PC1871 1871 4.213112e-01       0.001             99.848
## PC1872 1872 4.209689e-01       0.001             99.849
## PC1873 1873 4.200991e-01       0.001             99.850
## PC1874 1874 4.191568e-01       0.001             99.852
## PC1875 1875 4.183888e-01       0.001             99.853
## PC1876 1876 4.158851e-01       0.001             99.854
## PC1877 1877 4.152808e-01       0.001             99.856
## PC1878 1878 4.136640e-01       0.001             99.857
## PC1879 1879 4.126542e-01       0.001             99.858
## PC1880 1880 4.117987e-01       0.001             99.860
## PC1881 1881 4.105538e-01       0.001             99.861
## PC1882 1882 4.099409e-01       0.001             99.862
## PC1883 1883 4.079804e-01       0.001             99.863
## PC1884 1884 4.064629e-01       0.001             99.865
## PC1885 1885 4.058944e-01       0.001             99.866
## PC1886 1886 4.043127e-01       0.001             99.867
## PC1887 1887 4.022399e-01       0.001             99.868
## PC1888 1888 4.019788e-01       0.001             99.870
## PC1889 1889 4.003085e-01       0.001             99.871
## PC1890 1890 3.993792e-01       0.001             99.872
## PC1891 1891 3.979067e-01       0.001             99.873
## PC1892 1892 3.970221e-01       0.001             99.874
## PC1893 1893 3.965376e-01       0.001             99.876
## PC1894 1894 3.939751e-01       0.001             99.877
## PC1895 1895 3.936499e-01       0.001             99.878
## PC1896 1896 3.916581e-01       0.001             99.879
## PC1897 1897 3.901992e-01       0.001             99.880
## PC1898 1898 3.895390e-01       0.001             99.881
## PC1899 1899 3.877319e-01       0.001             99.883
## PC1900 1900 3.874645e-01       0.001             99.884
## PC1901 1901 3.852976e-01       0.001             99.885
## PC1902 1902 3.841609e-01       0.001             99.886
## PC1903 1903 3.827497e-01       0.001             99.887
## PC1904 1904 3.814974e-01       0.001             99.888
## PC1905 1905 3.799760e-01       0.001             99.889
## PC1906 1906 3.782599e-01       0.001             99.890
## PC1907 1907 3.764463e-01       0.001             99.891
## PC1908 1908 3.758815e-01       0.001             99.892
## PC1909 1909 3.748300e-01       0.001             99.893
## PC1910 1910 3.725125e-01       0.001             99.894
## PC1911 1911 3.723690e-01       0.001             99.896
## PC1912 1912 3.714243e-01       0.001             99.897
## PC1913 1913 3.702374e-01       0.001             99.898
## PC1914 1914 3.687471e-01       0.001             99.899
## PC1915 1915 3.668451e-01       0.001             99.900
## PC1916 1916 3.647426e-01       0.001             99.901
## PC1917 1917 3.640534e-01       0.001             99.902
## PC1918 1918 3.613204e-01       0.001             99.903
## PC1919 1919 3.604759e-01       0.001             99.904
## PC1920 1920 3.597526e-01       0.001             99.905
## PC1921 1921 3.583378e-01       0.001             99.906
## PC1922 1922 3.573585e-01       0.001             99.907
## PC1923 1923 3.565167e-01       0.001             99.908
## PC1924 1924 3.550375e-01       0.001             99.908
## PC1925 1925 3.540383e-01       0.001             99.909
## PC1926 1926 3.521900e-01       0.001             99.910
## PC1927 1927 3.515509e-01       0.001             99.911
## PC1928 1928 3.496765e-01       0.001             99.912
## PC1929 1929 3.483963e-01       0.001             99.913
## PC1930 1930 3.458594e-01       0.001             99.914
## PC1931 1931 3.454550e-01       0.001             99.915
## PC1932 1932 3.438522e-01       0.001             99.916
## PC1933 1933 3.430845e-01       0.001             99.917
## PC1934 1934 3.404762e-01       0.001             99.918
## PC1935 1935 3.382798e-01       0.001             99.918
## PC1936 1936 3.381792e-01       0.001             99.919
## PC1937 1937 3.367409e-01       0.001             99.920
## PC1938 1938 3.355355e-01       0.001             99.921
## PC1939 1939 3.350972e-01       0.001             99.922
## PC1940 1940 3.341317e-01       0.001             99.923
## PC1941 1941 3.327693e-01       0.001             99.924
## PC1942 1942 3.321533e-01       0.001             99.924
## PC1943 1943 3.293945e-01       0.001             99.925
## PC1944 1944 3.288104e-01       0.001             99.926
## PC1945 1945 3.276889e-01       0.001             99.927
## PC1946 1946 3.252740e-01       0.001             99.928
## PC1947 1947 3.243898e-01       0.001             99.928
## PC1948 1948 3.233053e-01       0.001             99.929
## PC1949 1949 3.221254e-01       0.001             99.930
## PC1950 1950 3.207740e-01       0.001             99.931
## PC1951 1951 3.199561e-01       0.001             99.932
## PC1952 1952 3.193488e-01       0.001             99.932
## PC1953 1953 3.182038e-01       0.001             99.933
## PC1954 1954 3.153946e-01       0.001             99.934
## PC1955 1955 3.146910e-01       0.001             99.935
## PC1956 1956 3.138614e-01       0.001             99.935
## PC1957 1957 3.134717e-01       0.001             99.936
## PC1958 1958 3.118384e-01       0.001             99.937
## PC1959 1959 3.097008e-01       0.001             99.938
## PC1960 1960 3.084634e-01       0.001             99.938
## PC1961 1961 3.061316e-01       0.001             99.939
## PC1962 1962 3.051920e-01       0.001             99.940
## PC1963 1963 3.041672e-01       0.001             99.940
## PC1964 1964 3.023942e-01       0.001             99.941
## PC1965 1965 3.015068e-01       0.001             99.942
## PC1966 1966 3.002454e-01       0.001             99.942
## PC1967 1967 2.999424e-01       0.001             99.943
## PC1968 1968 2.968168e-01       0.001             99.944
## PC1969 1969 2.959529e-01       0.001             99.944
## PC1970 1970 2.943605e-01       0.001             99.945
## PC1971 1971 2.937654e-01       0.001             99.946
## PC1972 1972 2.926500e-01       0.001             99.946
## PC1973 1973 2.907322e-01       0.001             99.947
## PC1974 1974 2.890418e-01       0.001             99.948
## PC1975 1975 2.870035e-01       0.001             99.948
## PC1976 1976 2.866632e-01       0.001             99.949
## PC1977 1977 2.861816e-01       0.001             99.950
## PC1978 1978 2.851622e-01       0.001             99.950
## PC1979 1979 2.829598e-01       0.001             99.951
## PC1980 1980 2.816820e-01       0.001             99.951
## PC1981 1981 2.805566e-01       0.001             99.952
## PC1982 1982 2.792934e-01       0.001             99.953
## PC1983 1983 2.774411e-01       0.001             99.953
## PC1984 1984 2.762541e-01       0.001             99.954
## PC1985 1985 2.760180e-01       0.001             99.954
## PC1986 1986 2.743999e-01       0.001             99.955
## PC1987 1987 2.725394e-01       0.001             99.955
## PC1988 1988 2.713034e-01       0.001             99.956
## PC1989 1989 2.703566e-01       0.001             99.956
## PC1990 1990 2.686359e-01       0.001             99.957
## PC1991 1991 2.684128e-01       0.001             99.958
## PC1992 1992 2.677686e-01       0.001             99.958
## PC1993 1993 2.651468e-01       0.001             99.959
## PC1994 1994 2.643207e-01       0.001             99.959
## PC1995 1995 2.632253e-01       0.001             99.960
## PC1996 1996 2.620420e-01       0.001             99.960
## PC1997 1997 2.613454e-01       0.001             99.961
## PC1998 1998 2.597121e-01       0.001             99.961
## PC1999 1999 2.584247e-01       0.001             99.962
## PC2000 2000 2.576855e-01       0.001             99.962
## PC2001 2001 2.558730e-01       0.000             99.963
## PC2002 2002 2.550957e-01       0.000             99.963
## PC2003 2003 2.544408e-01       0.000             99.964
## PC2004 2004 2.532661e-01       0.000             99.964
## PC2005 2005 2.520193e-01       0.000             99.965
## PC2006 2006 2.484856e-01       0.000             99.965
## PC2007 2007 2.478411e-01       0.000             99.966
## PC2008 2008 2.471467e-01       0.000             99.966
## PC2009 2009 2.458600e-01       0.000             99.967
## PC2010 2010 2.446382e-01       0.000             99.967
## PC2011 2011 2.435276e-01       0.000             99.967
## PC2012 2012 2.418383e-01       0.000             99.968
## PC2013 2013 2.398354e-01       0.000             99.968
## PC2014 2014 2.386082e-01       0.000             99.969
## PC2015 2015 2.382499e-01       0.000             99.969
## PC2016 2016 2.365064e-01       0.000             99.970
## PC2017 2017 2.347753e-01       0.000             99.970
## PC2018 2018 2.341661e-01       0.000             99.970
## PC2019 2019 2.333391e-01       0.000             99.971
## PC2020 2020 2.321057e-01       0.000             99.971
## PC2021 2021 2.316908e-01       0.000             99.972
## PC2022 2022 2.305468e-01       0.000             99.972
## PC2023 2023 2.284875e-01       0.000             99.972
## PC2024 2024 2.273309e-01       0.000             99.973
## PC2025 2025 2.256178e-01       0.000             99.973
## PC2026 2026 2.252182e-01       0.000             99.974
## PC2027 2027 2.242362e-01       0.000             99.974
## PC2028 2028 2.223596e-01       0.000             99.974
## PC2029 2029 2.216261e-01       0.000             99.975
## PC2030 2030 2.204171e-01       0.000             99.975
## PC2031 2031 2.185597e-01       0.000             99.975
## PC2032 2032 2.183593e-01       0.000             99.976
## PC2033 2033 2.158253e-01       0.000             99.976
## PC2034 2034 2.152503e-01       0.000             99.977
## PC2035 2035 2.139798e-01       0.000             99.977
## PC2036 2036 2.134910e-01       0.000             99.977
## PC2037 2037 2.120518e-01       0.000             99.978
## PC2038 2038 2.097733e-01       0.000             99.978
## PC2039 2039 2.078872e-01       0.000             99.978
## PC2040 2040 2.071148e-01       0.000             99.979
## PC2041 2041 2.068267e-01       0.000             99.979
## PC2042 2042 2.058755e-01       0.000             99.979
## PC2043 2043 2.043444e-01       0.000             99.979
## PC2044 2044 2.035352e-01       0.000             99.980
## PC2045 2045 2.018043e-01       0.000             99.980
## PC2046 2046 2.012753e-01       0.000             99.980
## PC2047 2047 1.996787e-01       0.000             99.981
## PC2048 2048 1.983862e-01       0.000             99.981
## PC2049 2049 1.962319e-01       0.000             99.981
## PC2050 2050 1.953342e-01       0.000             99.982
## PC2051 2051 1.942081e-01       0.000             99.982
## PC2052 2052 1.941217e-01       0.000             99.982
## PC2053 2053 1.921995e-01       0.000             99.982
## PC2054 2054 1.914155e-01       0.000             99.983
## PC2055 2055 1.903381e-01       0.000             99.983
## PC2056 2056 1.888269e-01       0.000             99.983
## PC2057 2057 1.872130e-01       0.000             99.984
## PC2058 2058 1.863280e-01       0.000             99.984
## PC2059 2059 1.853401e-01       0.000             99.984
## PC2060 2060 1.838789e-01       0.000             99.984
## PC2061 2061 1.819962e-01       0.000             99.985
## PC2062 2062 1.817794e-01       0.000             99.985
## PC2063 2063 1.810991e-01       0.000             99.985
## PC2064 2064 1.796232e-01       0.000             99.985
## PC2065 2065 1.785262e-01       0.000             99.986
## PC2066 2066 1.772642e-01       0.000             99.986
## PC2067 2067 1.763869e-01       0.000             99.986
## PC2068 2068 1.755053e-01       0.000             99.986
## PC2069 2069 1.753485e-01       0.000             99.986
## PC2070 2070 1.736734e-01       0.000             99.987
## PC2071 2071 1.731373e-01       0.000             99.987
## PC2072 2072 1.722113e-01       0.000             99.987
## PC2073 2073 1.708414e-01       0.000             99.987
## PC2074 2074 1.703853e-01       0.000             99.988
## PC2075 2075 1.691220e-01       0.000             99.988
## PC2076 2076 1.676203e-01       0.000             99.988
## PC2077 2077 1.664482e-01       0.000             99.988
## PC2078 2078 1.659752e-01       0.000             99.988
## PC2079 2079 1.646331e-01       0.000             99.989
## PC2080 2080 1.642763e-01       0.000             99.989
## PC2081 2081 1.631450e-01       0.000             99.989
## PC2082 2082 1.609477e-01       0.000             99.989
## PC2083 2083 1.605003e-01       0.000             99.989
## PC2084 2084 1.594113e-01       0.000             99.990
## PC2085 2085 1.590532e-01       0.000             99.990
## PC2086 2086 1.582936e-01       0.000             99.990
## PC2087 2087 1.566217e-01       0.000             99.990
## PC2088 2088 1.553719e-01       0.000             99.990
## PC2089 2089 1.547360e-01       0.000             99.991
## PC2090 2090 1.525743e-01       0.000             99.991
## PC2091 2091 1.518932e-01       0.000             99.991
## PC2092 2092 1.497765e-01       0.000             99.991
## PC2093 2093 1.494716e-01       0.000             99.991
## PC2094 2094 1.490288e-01       0.000             99.991
## PC2095 2095 1.472239e-01       0.000             99.992
## PC2096 2096 1.466771e-01       0.000             99.992
## PC2097 2097 1.457205e-01       0.000             99.992
## PC2098 2098 1.445718e-01       0.000             99.992
## PC2099 2099 1.430050e-01       0.000             99.992
## PC2100 2100 1.419776e-01       0.000             99.992
## PC2101 2101 1.410308e-01       0.000             99.993
## PC2102 2102 1.389791e-01       0.000             99.993
## PC2103 2103 1.383010e-01       0.000             99.993
## PC2104 2104 1.369042e-01       0.000             99.993
## PC2105 2105 1.362497e-01       0.000             99.993
## PC2106 2106 1.351702e-01       0.000             99.993
## PC2107 2107 1.344833e-01       0.000             99.993
## PC2108 2108 1.333894e-01       0.000             99.994
## PC2109 2109 1.324623e-01       0.000             99.994
## PC2110 2110 1.308585e-01       0.000             99.994
## PC2111 2111 1.300418e-01       0.000             99.994
## PC2112 2112 1.292028e-01       0.000             99.994
## PC2113 2113 1.281713e-01       0.000             99.994
## PC2114 2114 1.276736e-01       0.000             99.994
## PC2115 2115 1.269141e-01       0.000             99.994
## PC2116 2116 1.258790e-01       0.000             99.995
## PC2117 2117 1.249287e-01       0.000             99.995
## PC2118 2118 1.234736e-01       0.000             99.995
## PC2119 2119 1.230167e-01       0.000             99.995
## PC2120 2120 1.219421e-01       0.000             99.995
## PC2121 2121 1.199698e-01       0.000             99.995
## PC2122 2122 1.194496e-01       0.000             99.995
## PC2123 2123 1.177211e-01       0.000             99.995
## PC2124 2124 1.166057e-01       0.000             99.995
## PC2125 2125 1.147924e-01       0.000             99.995
## PC2126 2126 1.141671e-01       0.000             99.996
## PC2127 2127 1.123932e-01       0.000             99.996
## PC2128 2128 1.120329e-01       0.000             99.996
## PC2129 2129 1.116263e-01       0.000             99.996
## PC2130 2130 1.098293e-01       0.000             99.996
## PC2131 2131 1.082795e-01       0.000             99.996
## PC2132 2132 1.073661e-01       0.000             99.996
## PC2133 2133 1.067315e-01       0.000             99.996
## PC2134 2134 1.057323e-01       0.000             99.996
## PC2135 2135 1.036548e-01       0.000             99.996
## PC2136 2136 1.027596e-01       0.000             99.996
## PC2137 2137 1.020714e-01       0.000             99.997
## PC2138 2138 1.013343e-01       0.000             99.997
## PC2139 2139 1.002787e-01       0.000             99.997
## PC2140 2140 9.934843e-02       0.000             99.997
## PC2141 2141 9.932977e-02       0.000             99.997
## PC2142 2142 9.888392e-02       0.000             99.997
## PC2143 2143 9.816799e-02       0.000             99.997
## PC2144 2144 9.531437e-02       0.000             99.997
## PC2145 2145 9.427142e-02       0.000             99.997
## PC2146 2146 9.386341e-02       0.000             99.997
## PC2147 2147 9.299689e-02       0.000             99.997
## PC2148 2148 9.253309e-02       0.000             99.997
## PC2149 2149 9.187339e-02       0.000             99.997
## PC2150 2150 9.043255e-02       0.000             99.997
## PC2151 2151 8.935813e-02       0.000             99.998
## PC2152 2152 8.837215e-02       0.000             99.998
## PC2153 2153 8.745745e-02       0.000             99.998
## PC2154 2154 8.717112e-02       0.000             99.998
## PC2155 2155 8.618886e-02       0.000             99.998
## PC2156 2156 8.399335e-02       0.000             99.998
## PC2157 2157 8.379622e-02       0.000             99.998
## PC2158 2158 8.238608e-02       0.000             99.998
## PC2159 2159 8.216955e-02       0.000             99.998
## PC2160 2160 8.181273e-02       0.000             99.998
## PC2161 2161 8.056015e-02       0.000             99.998
## PC2162 2162 7.978908e-02       0.000             99.998
## PC2163 2163 7.902699e-02       0.000             99.998
## PC2164 2164 7.801252e-02       0.000             99.998
## PC2165 2165 7.767742e-02       0.000             99.998
## PC2166 2166 7.639423e-02       0.000             99.998
## PC2167 2167 7.563933e-02       0.000             99.998
## PC2168 2168 7.496561e-02       0.000             99.998
## PC2169 2169 7.471752e-02       0.000             99.998
## PC2170 2170 7.425572e-02       0.000             99.998
## PC2171 2171 7.313510e-02       0.000             99.998
## PC2172 2172 7.155382e-02       0.000             99.999
## PC2173 2173 7.098163e-02       0.000             99.999
## PC2174 2174 7.047339e-02       0.000             99.999
## PC2175 2175 6.957602e-02       0.000             99.999
## PC2176 2176 6.841721e-02       0.000             99.999
## PC2177 2177 6.802396e-02       0.000             99.999
## PC2178 2178 6.701170e-02       0.000             99.999
## PC2179 2179 6.632569e-02       0.000             99.999
## PC2180 2180 6.620077e-02       0.000             99.999
## PC2181 2181 6.480272e-02       0.000             99.999
## PC2182 2182 6.393242e-02       0.000             99.999
## PC2183 2183 6.350133e-02       0.000             99.999
## PC2184 2184 6.272442e-02       0.000             99.999
## PC2185 2185 6.218552e-02       0.000             99.999
## PC2186 2186 6.177681e-02       0.000             99.999
## PC2187 2187 6.075726e-02       0.000             99.999
## PC2188 2188 6.026944e-02       0.000             99.999
## PC2189 2189 5.957307e-02       0.000             99.999
## PC2190 2190 5.892202e-02       0.000             99.999
## PC2191 2191 5.859855e-02       0.000             99.999
## PC2192 2192 5.765278e-02       0.000             99.999
## PC2193 2193 5.729799e-02       0.000             99.999
## PC2194 2194 5.634871e-02       0.000             99.999
## PC2195 2195 5.562600e-02       0.000             99.999
## PC2196 2196 5.523972e-02       0.000             99.999
## PC2197 2197 5.506074e-02       0.000             99.999
## PC2198 2198 5.436208e-02       0.000             99.999
## PC2199 2199 5.383378e-02       0.000             99.999
## PC2200 2200 5.355590e-02       0.000             99.999
## PC2201 2201 5.275894e-02       0.000             99.999
## PC2202 2202 5.224184e-02       0.000             99.999
## PC2203 2203 5.144863e-02       0.000             99.999
## PC2204 2204 5.085158e-02       0.000             99.999
## PC2205 2205 5.030309e-02       0.000             99.999
## PC2206 2206 4.986070e-02       0.000             99.999
## PC2207 2207 4.905002e-02       0.000             99.999
## PC2208 2208 4.865418e-02       0.000             99.999
## PC2209 2209 4.806508e-02       0.000            100.000
## PC2210 2210 4.773917e-02       0.000            100.000
## PC2211 2211 4.759361e-02       0.000            100.000
## PC2212 2212 4.731572e-02       0.000            100.000
## PC2213 2213 4.663572e-02       0.000            100.000
## PC2214 2214 4.579612e-02       0.000            100.000
## PC2215 2215 4.561401e-02       0.000            100.000
## PC2216 2216 4.453611e-02       0.000            100.000
## PC2217 2217 4.391287e-02       0.000            100.000
## PC2218 2218 4.368417e-02       0.000            100.000
## PC2219 2219 4.300990e-02       0.000            100.000
## PC2220 2220 4.255888e-02       0.000            100.000
## PC2221 2221 4.181508e-02       0.000            100.000
## PC2222 2222 4.046259e-02       0.000            100.000
## PC2223 2223 3.996853e-02       0.000            100.000
## PC2224 2224 3.966398e-02       0.000            100.000
## PC2225 2225 3.844697e-02       0.000            100.000
## PC2226 2226 3.801472e-02       0.000            100.000
## PC2227 2227 3.756252e-02       0.000            100.000
## PC2228 2228 3.736668e-02       0.000            100.000
## PC2229 2229 3.643264e-02       0.000            100.000
## PC2230 2230 3.608567e-02       0.000            100.000
## PC2231 2231 3.511177e-02       0.000            100.000
## PC2232 2232 3.431225e-02       0.000            100.000
## PC2233 2233 3.425250e-02       0.000            100.000
## PC2234 2234 3.348170e-02       0.000            100.000
## PC2235 2235 3.320842e-02       0.000            100.000
## PC2236 2236 3.293291e-02       0.000            100.000
## PC2237 2237 3.217080e-02       0.000            100.000
## PC2238 2238 3.163137e-02       0.000            100.000
## PC2239 2239 3.152433e-02       0.000            100.000
## PC2240 2240 3.079285e-02       0.000            100.000
## PC2241 2241 3.060475e-02       0.000            100.000
## PC2242 2242 3.027478e-02       0.000            100.000
## PC2243 2243 2.991744e-02       0.000            100.000
## PC2244 2244 2.976828e-02       0.000            100.000
## PC2245 2245 2.878413e-02       0.000            100.000
## PC2246 2246 2.856707e-02       0.000            100.000
## PC2247 2247 2.777071e-02       0.000            100.000
## PC2248 2248 2.730277e-02       0.000            100.000
## PC2249 2249 2.674522e-02       0.000            100.000
## PC2250 2250 2.644919e-02       0.000            100.000
## PC2251 2251 2.597077e-02       0.000            100.000
## PC2252 2252 2.486662e-02       0.000            100.000
## PC2253 2253 2.479669e-02       0.000            100.000
## PC2254 2254 2.393090e-02       0.000            100.000
## PC2255 2255 2.351306e-02       0.000            100.000
## PC2256 2256 2.319582e-02       0.000            100.000
## PC2257 2257 2.261464e-02       0.000            100.000
## PC2258 2258 2.196350e-02       0.000            100.000
## PC2259 2259 2.103413e-02       0.000            100.000
## PC2260 2260 2.036571e-02       0.000            100.000
## PC2261 2261 1.984194e-02       0.000            100.000
## PC2262 2262 1.866753e-02       0.000            100.000
## PC2263 2263 1.783927e-02       0.000            100.000
## PC2264 2264 1.657368e-02       0.000            100.000
## PC2265 2265 1.602771e-02       0.000            100.000
## PC2266 2266 1.434357e-02       0.000            100.000
## PC2267 2267 1.083070e-02       0.000            100.000
## PC2268 2268 9.386042e-03       0.000            100.000
## PC2269 2269 8.868629e-03       0.000            100.000
## PC2270 2270 4.266188e-13       0.000            100.000
## PC2271 2271 3.874181e-13       0.000            100.000
## PC2272 2272 3.327416e-13       0.000            100.000
## PC2273 2273 2.113644e-13       0.000            100.000
## PC2274 2274 1.826958e-13       0.000            100.000
## PC2275 2275 1.672412e-13       0.000            100.000
## PC2276 2276 1.607688e-13       0.000            100.000
## PC2277 2277 1.472221e-13       0.000            100.000
## PC2278 2278 1.390252e-13       0.000            100.000
## PC2279 2279 1.374724e-13       0.000            100.000
## PC2280 2280 1.356896e-13       0.000            100.000
## PC2281 2281 1.255199e-13       0.000            100.000
## PC2282 2282 1.215923e-13       0.000            100.000
## PC2283 2283 1.115405e-13       0.000            100.000
## PC2284 2284 1.057135e-13       0.000            100.000
## PC2285 2285 1.016468e-13       0.000            100.000
## PC2286 2286 9.948905e-14       0.000            100.000
## PC2287 2287 9.852560e-14       0.000            100.000
## PC2288 2288 9.716799e-14       0.000            100.000
## PC2289 2289 9.677430e-14       0.000            100.000
## PC2290 2290 9.593500e-14       0.000            100.000
## PC2291 2291 9.373686e-14       0.000            100.000
## PC2292 2292 9.113726e-14       0.000            100.000
## PC2293 2293 8.885231e-14       0.000            100.000
## PC2294 2294 8.672769e-14       0.000            100.000
## PC2295 2295 8.600916e-14       0.000            100.000
## PC2296 2296 8.486935e-14       0.000            100.000
## PC2297 2297 8.405497e-14       0.000            100.000
## PC2298 2298 8.313749e-14       0.000            100.000
## PC2299 2299 8.255394e-14       0.000            100.000
## PC2300 2300 8.097899e-14       0.000            100.000
## PC2301 2301 7.960260e-14       0.000            100.000
## PC2302 2302 7.838774e-14       0.000            100.000
## PC2303 2303 7.735460e-14       0.000            100.000
## PC2304 2304 7.556294e-14       0.000            100.000
## PC2305 2305 7.489622e-14       0.000            100.000
## PC2306 2306 7.398608e-14       0.000            100.000
## PC2307 2307 7.250976e-14       0.000            100.000
## PC2308 2308 7.183148e-14       0.000            100.000
## PC2309 2309 7.014762e-14       0.000            100.000
## PC2310 2310 6.995107e-14       0.000            100.000
## PC2311 2311 6.887401e-14       0.000            100.000
## PC2312 2312 6.805199e-14       0.000            100.000
## PC2313 2313 6.638982e-14       0.000            100.000
## PC2314 2314 6.610717e-14       0.000            100.000
## PC2315 2315 6.479080e-14       0.000            100.000
## PC2316 2316 6.388860e-14       0.000            100.000
## PC2317 2317 6.274393e-14       0.000            100.000
## PC2318 2318 6.171568e-14       0.000            100.000
## PC2319 2319 6.118453e-14       0.000            100.000
## PC2320 2320 6.050476e-14       0.000            100.000
## PC2321 2321 5.975272e-14       0.000            100.000
## PC2322 2322 5.778440e-14       0.000            100.000
## PC2323 2323 5.696369e-14       0.000            100.000
## PC2324 2324 5.683903e-14       0.000            100.000
## PC2325 2325 5.606548e-14       0.000            100.000
## PC2326 2326 5.535273e-14       0.000            100.000
## PC2327 2327 5.441392e-14       0.000            100.000
## PC2328 2328 5.352285e-14       0.000            100.000
## PC2329 2329 5.341976e-14       0.000            100.000
## PC2330 2330 5.320767e-14       0.000            100.000
## PC2331 2331 5.229621e-14       0.000            100.000
## PC2332 2332 5.126657e-14       0.000            100.000
## PC2333 2333 5.078497e-14       0.000            100.000
## PC2334 2334 4.995985e-14       0.000            100.000
## PC2335 2335 4.945919e-14       0.000            100.000
## PC2336 2336 4.918193e-14       0.000            100.000
## PC2337 2337 4.871835e-14       0.000            100.000
## PC2338 2338 4.760643e-14       0.000            100.000
## PC2339 2339 4.684804e-14       0.000            100.000
## PC2340 2340 4.659662e-14       0.000            100.000
## PC2341 2341 4.612197e-14       0.000            100.000
## PC2342 2342 4.537301e-14       0.000            100.000
## PC2343 2343 4.514933e-14       0.000            100.000
## PC2344 2344 4.514323e-14       0.000            100.000
## PC2345 2345 4.483098e-14       0.000            100.000
## PC2346 2346 4.421376e-14       0.000            100.000
## PC2347 2347 4.324922e-14       0.000            100.000
## PC2348 2348 4.119881e-14       0.000            100.000
## PC2349 2349 4.038319e-14       0.000            100.000
## PC2350 2350 4.004454e-14       0.000            100.000
## PC2351 2351 3.971245e-14       0.000            100.000
## PC2352 2352 3.942947e-14       0.000            100.000
## PC2353 2353 3.881700e-14       0.000            100.000
## PC2354 2354 3.880930e-14       0.000            100.000
## PC2355 2355 3.843165e-14       0.000            100.000
## PC2356 2356 3.797474e-14       0.000            100.000
## PC2357 2357 3.760652e-14       0.000            100.000
## PC2358 2358 3.729534e-14       0.000            100.000
## PC2359 2359 3.646001e-14       0.000            100.000
## PC2360 2360 3.617576e-14       0.000            100.000
## PC2361 2361 3.613152e-14       0.000            100.000
## PC2362 2362 3.458639e-14       0.000            100.000
## PC2363 2363 3.438920e-14       0.000            100.000
## PC2364 2364 3.406307e-14       0.000            100.000
## PC2365 2365 3.317490e-14       0.000            100.000
## PC2366 2366 3.293424e-14       0.000            100.000
## PC2367 2367 3.235397e-14       0.000            100.000
## PC2368 2368 3.222595e-14       0.000            100.000
## PC2369 2369 3.191068e-14       0.000            100.000
## PC2370 2370 3.123821e-14       0.000            100.000
## PC2371 2371 3.107390e-14       0.000            100.000
## PC2372 2372 3.043384e-14       0.000            100.000
## PC2373 2373 3.007360e-14       0.000            100.000
## PC2374 2374 2.986903e-14       0.000            100.000
## PC2375 2375 2.951290e-14       0.000            100.000
## PC2376 2376 2.884482e-14       0.000            100.000
## PC2377 2377 2.832033e-14       0.000            100.000
## PC2378 2378 2.795396e-14       0.000            100.000
## PC2379 2379 2.782270e-14       0.000            100.000
## PC2380 2380 2.723694e-14       0.000            100.000
## PC2381 2381 2.707364e-14       0.000            100.000
## PC2382 2382 2.661085e-14       0.000            100.000
## PC2383 2383 2.626737e-14       0.000            100.000
## PC2384 2384 2.585653e-14       0.000            100.000
## PC2385 2385 2.573093e-14       0.000            100.000
## PC2386 2386 2.562686e-14       0.000            100.000
## PC2387 2387 2.525097e-14       0.000            100.000
## PC2388 2388 2.498676e-14       0.000            100.000
## PC2389 2389 2.476899e-14       0.000            100.000
## PC2390 2390 2.432637e-14       0.000            100.000
## PC2391 2391 2.409543e-14       0.000            100.000
## PC2392 2392 2.403931e-14       0.000            100.000
## PC2393 2393 2.358178e-14       0.000            100.000
## PC2394 2394 2.312915e-14       0.000            100.000
## PC2395 2395 2.253755e-14       0.000            100.000
## PC2396 2396 2.216324e-14       0.000            100.000
## PC2397 2397 2.162760e-14       0.000            100.000
## PC2398 2398 2.141238e-14       0.000            100.000
## PC2399 2399 2.138310e-14       0.000            100.000
## PC2400 2400 2.090576e-14       0.000            100.000
## PC2401 2401 2.049287e-14       0.000            100.000
## PC2402 2402 2.029632e-14       0.000            100.000
## PC2403 2403 1.993305e-14       0.000            100.000
## PC2404 2404 1.968956e-14       0.000            100.000
## PC2405 2405 1.942471e-14       0.000            100.000
## PC2406 2406 1.922496e-14       0.000            100.000
## PC2407 2407 1.879049e-14       0.000            100.000
## PC2408 2408 1.843034e-14       0.000            100.000
## PC2409 2409 1.822907e-14       0.000            100.000
## PC2410 2410 1.806365e-14       0.000            100.000
## PC2411 2411 1.791260e-14       0.000            100.000
## PC2412 2412 1.759646e-14       0.000            100.000
## PC2413 2413 1.747730e-14       0.000            100.000
## PC2414 2414 1.717237e-14       0.000            100.000
## PC2415 2415 1.691377e-14       0.000            100.000
## PC2416 2416 1.650143e-14       0.000            100.000
## PC2417 2417 1.620881e-14       0.000            100.000
## PC2418 2418 1.597242e-14       0.000            100.000
## PC2419 2419 1.581544e-14       0.000            100.000
## PC2420 2420 1.562059e-14       0.000            100.000
## PC2421 2421 1.561079e-14       0.000            100.000
## PC2422 2422 1.547410e-14       0.000            100.000
## PC2423 2423 1.520307e-14       0.000            100.000
## PC2424 2424 1.500919e-14       0.000            100.000
## PC2425 2425 1.484124e-14       0.000            100.000
## PC2426 2426 1.456935e-14       0.000            100.000
## PC2427 2427 1.412739e-14       0.000            100.000
## PC2428 2428 1.391431e-14       0.000            100.000
## PC2429 2429 1.384787e-14       0.000            100.000
## PC2430 2430 1.354970e-14       0.000            100.000
## PC2431 2431 1.336932e-14       0.000            100.000
## PC2432 2432 1.332303e-14       0.000            100.000
## PC2433 2433 1.310029e-14       0.000            100.000
## PC2434 2434 1.282147e-14       0.000            100.000
## PC2435 2435 1.269678e-14       0.000            100.000
## PC2436 2436 1.265691e-14       0.000            100.000
## PC2437 2437 1.240190e-14       0.000            100.000
## PC2438 2438 1.218611e-14       0.000            100.000
## PC2439 2439 1.216069e-14       0.000            100.000
## PC2440 2440 1.193972e-14       0.000            100.000
## PC2441 2441 1.187713e-14       0.000            100.000
## PC2442 2442 1.153026e-14       0.000            100.000
## PC2443 2443 1.152964e-14       0.000            100.000
## PC2444 2444 1.122570e-14       0.000            100.000
## PC2445 2445 1.097935e-14       0.000            100.000
## PC2446 2446 1.068975e-14       0.000            100.000
## PC2447 2447 1.057157e-14       0.000            100.000
## PC2448 2448 1.051159e-14       0.000            100.000
## PC2449 2449 1.042890e-14       0.000            100.000
## PC2450 2450 1.015005e-14       0.000            100.000
## PC2451 2451 9.757622e-15       0.000            100.000
## PC2452 2452 9.466274e-15       0.000            100.000
## PC2453 2453 9.183348e-15       0.000            100.000
## PC2454 2454 9.128408e-15       0.000            100.000
## PC2455 2455 8.849196e-15       0.000            100.000
## PC2456 2456 8.613001e-15       0.000            100.000
## PC2457 2457 8.344273e-15       0.000            100.000
## PC2458 2458 8.101781e-15       0.000            100.000
## PC2459 2459 7.888904e-15       0.000            100.000
## PC2460 2460 7.880969e-15       0.000            100.000
## PC2461 2461 7.468413e-15       0.000            100.000
## PC2462 2462 7.415362e-15       0.000            100.000
## PC2463 2463 7.167162e-15       0.000            100.000
## PC2464 2464 6.892681e-15       0.000            100.000
## PC2465 2465 6.809856e-15       0.000            100.000
## PC2466 2466 6.636077e-15       0.000            100.000
## PC2467 2467 6.491647e-15       0.000            100.000
## PC2468 2468 6.338075e-15       0.000            100.000
## PC2469 2469 6.315517e-15       0.000            100.000
## PC2470 2470 6.179919e-15       0.000            100.000
## PC2471 2471 6.179919e-15       0.000            100.000
## PC2472 2472 6.179919e-15       0.000            100.000
## PC2473 2473 6.179919e-15       0.000            100.000
## PC2474 2474 6.179919e-15       0.000            100.000
## PC2475 2475 6.179919e-15       0.000            100.000
## PC2476 2476 6.179919e-15       0.000            100.000
## PC2477 2477 6.179919e-15       0.000            100.000
## PC2478 2478 6.179919e-15       0.000            100.000
## PC2479 2479 6.179919e-15       0.000            100.000
## PC2480 2480 6.179919e-15       0.000            100.000
## PC2481 2481 6.023966e-15       0.000            100.000
## PC2482 2482 5.497924e-15       0.000            100.000
## PC2483 2483 5.201909e-15       0.000            100.000
## PC2484 2484 4.954531e-15       0.000            100.000
## PC2485 2485 4.535084e-15       0.000            100.000
## PC2486 2486 4.526354e-15       0.000            100.000
## PC2487 2487 4.313282e-15       0.000            100.000
## PC2488 2488 3.868449e-15       0.000            100.000
## PC2489 2489 3.803263e-15       0.000            100.000
## PC2490 2490 3.578674e-15       0.000            100.000
## PC2491 2491 3.379253e-15       0.000            100.000
## PC2492 2492 3.252981e-15       0.000            100.000
## PC2493 2493 3.021905e-15       0.000            100.000
## PC2494 2494 2.828478e-15       0.000            100.000
## PC2495 2495 2.598135e-15       0.000            100.000
## PC2496 2496 2.532311e-15       0.000            100.000
## PC2497 2497 1.921686e-15       0.000            100.000
## PC2498 2498 1.587739e-15       0.000            100.000
## PC2499 2499 1.444408e-15       0.000            100.000
## PC2500 2500 1.198257e-15       0.000            100.000
## PC2501 2501 9.911048e-16       0.000            100.000
## PC2502 2502 4.401669e-16       0.000            100.000
## PC2503 2503 4.202698e-16       0.000            100.000
## PC2504 2504 1.067019e-16       0.000            100.000

TODO: Update the paragraph below with information for your dataset - variation explained by PC1, PC2, and PC3; the total variation explained by the first 3 PCs, and the number of PCs the scree plot indicates should be used in any further analyses, such as GWAS or cluster analysis.

PC 1 explains 41.504 percent of the variation, PC2 explains 1.956 percent, and PC3 explains 1.298 percent. In total, the first 3 PCs explain only ~44.758 percent of the variability in the data. The scree plot indicate that the first ~225 PCs are useful explain ~60% of the variation in the data. In further analysis such as GWAS the first 225 PCs should therefore be used.

Plot PC1 versus PC2

Plot the scores, with super-population color-coded

# make color and shape = "super_pop"
ggpubr::ggscatter(data = vcf_pca_scores2,
                  y = "PC2",
                  x = "PC1",
              color = "super_pop",   
              shape = "super_pop",   
              main = "PCA Scatterplot",
         ylab = "PC2 (1.956% of variation)",
         xlab = "PC1 (41.504% of variation)")

Note how in the plot the amount of variation explained by each PC is shown in the axis labels.

Plot PC2 versus PC3

Plot the scores, with super population color-coded

# make color and shape = "super_pop"
ggpubr::ggscatter(data = vcf_pca_scores2,
                  y = "PC3",
                  x = "PC2",
                  color = "super_pop",   
                  shape = "super_pop",   
                  main = "PCA Scatterplot",
          ylab = "PC3 (1.298% of variation)",
          xlab = "PC2 (1.956% of variation)")

Note how in the plot the amount of variation explained by each PC is shown in the axis labels.

Plot PC1 versus PC3

Plot the scores, with super population color-coded

# make color and shape = "super_pop"
ggpubr::ggscatter(data = vcf_pca_scores2,
                  y = "PC3",
                  x = "PC1",
                  ellipse = T,
            color = "super_pop",   
            shape = "super_pop",   
            main = "PCA Scatterplot",
      ylab = "PC3 (1.298% of variation)",
      xlab = "PC1 (41.504% of variation)")

Note how in the plot the amount of variation explained by each PC is shown in the axis labels.

3D scatterplot

The first 3 principal components can be presented as a 3D scatterplot.

colors_use <- as.numeric(vcf_pca_scores2$super_pop)
## Warning: NAs introduced by coercion
scatterplot3d(x = vcf_pca_scores2$PC1,
              y = vcf_pca_scores2$PC2,
              z = vcf_pca_scores2$PC3,
  color = colors_use,
              xlab = "PC1 (41.504%)",
              ylab = "PC2 (1.956%)",
              zlab = "PC3 (1.298%)")

Over 1000 PC’s exceed the threshold to use for further analysis.

The super population groups show overlapping with all populations, but especially AFR, EUR, and SAS.

```