This report summarizes the analysis workflow and results of an analysis of SNPs from the 1000 Genomes Project.
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().
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.
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).
The code below carries out a PCA on the data and presents the results. The key steps are:
read.csv().prcomp().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)
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
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
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$super_pop)
The following steps help us understand the PCA output and determine how many PCs should be plotted and/or used in further analyses such as scans for natural selection, cluster analysis, and GWAS.
A default R scree plot was created with screeplot().
This plot does not provide extra information for assessing the
importance of the PCs.
screeplot(vcf_pca,
xlab = "Principal Components")
The original workflow and function for making a more advanced scree plot lacked flexibility (Brouwer, personal communication). The following function and workflow simplifies things
PCA_variation() (below) on PCA
output.screeplot_snps() on the output of
PCA_variation() to make an advanced scree plotPCA_cumulative_var_plot() to show the
cumulative variation explained as more PCs are consideredThis function extracts information needed to make a more advanced, annotated scree plot.
# This is a NEW function
PCA_variation <- function(pca){
# get summary information from PCA
pca_summary <- summary(pca)
# extract information from summary
## raw variance for each PC
variance <- pca_summary$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)
}
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$var_percent,
col = 1)
segments(x0 = 0,
x1 = N,
y0 = var_cut_percent,
y1 = var_cut_percent,
col = 2)
}
This makes a plot complementary to a scree plot. A scree plot plots the amount of variation explained by each PC. This plot plots a curve of cumulative amount of variation explained by the PCs.
# This is a NEW function
PCA_cumulative_var_plot <- function(var_df){
plot(cumulative_percent ~ PC,
data = var_out,
main = "Cumulative percent variation\n explained by PCs",
xlab = "PC",
ylab = "Cumulative %",
type = "l")
total_var <- sum(var_df$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)
}
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
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)
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)
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
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## 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
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## 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
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## 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
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## PC2159 2159 8.216955e-02 0.000 99.998
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## PC2163 2163 7.902699e-02 0.000 99.998
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## PC2190 2190 5.892202e-02 0.000 99.999
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## 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
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## PC2299 2299 8.255394e-14 0.000 100.000
## PC2300 2300 8.097899e-14 0.000 100.000
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## PC2307 2307 7.250976e-14 0.000 100.000
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## PC2309 2309 7.014762e-14 0.000 100.000
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## PC2313 2313 6.638982e-14 0.000 100.000
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## 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
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## PC2323 2323 5.696369e-14 0.000 100.000
## PC2324 2324 5.683903e-14 0.000 100.000
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## PC2334 2334 4.995985e-14 0.000 100.000
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## 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
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## 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
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## 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
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## PC2365 2365 3.317490e-14 0.000 100.000
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## 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
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## 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
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## PC2383 2383 2.626737e-14 0.000 100.000
## PC2384 2384 2.585653e-14 0.000 100.000
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## PC2386 2386 2.562686e-14 0.000 100.000
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## 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 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 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 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.
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.
```